{ "metadata": { "name": "0XX-random-fields" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "Exploring random field theory for correcting for multiple comparisons" ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Why not a Bonferroni correction?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The problem of false positives with multiple statistical tests is an old one. One standard method for dealing with this problem is to use the Bonferroni correction. For the Bonferroni correction, you set your p value threshold for accepting a test as being significant as $alpha$ / (number of tests), where $alpha$ is the false positive rate you are prepared to accept. $alpha$ is often 0.05, or one false positive in 20 repeats of your experiment. Thus, for a statistical map with 200000 voxels, the Bonferroni corrected p value would be 0.05 / 200000 = [equivalent Z] 5.03. We could then threshold our Z map to show us only Z scores higher than 5.03, and be confident that all the remaining Z scores are unlikely to have occurred by chance. For some functional imaging data this is a perfectly reasonable approach, but in most cases the Bonferroni threshold will be considerably too conservative. This is because, for most stastistic maps, the Z scores at each voxel are highly correlated with their neighbours." ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Spatial correlation and independent observations" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "An example can show why the Bonferroni correction is too conservative with non-independent tests. Let us first make an example image out of random numbers. We generate 16384 random numbers, and then put them into a 128 by 128 array. This results in a 2D image of spatially independent random numbers. " ] }, { "cell_type": "code", "collapsed": false, "input": [ "%pylab inline\n", "import numpy as np" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "\n", "Welcome to pylab, a matplotlib-based Python environment [backend: module://IPython.zmq.pylab.backend_inline].\n", "For more information, type 'help(pylab)'.\n" ] } ], "prompt_number": 1 }, { "cell_type": "code", "collapsed": false, "input": [ "# Constants for image simulations etc\n", "shape = [128, 128] # No of pixels in X, Y\n", "n_voxels = np.prod(shape) # Total pixels\n", "s_fwhm = 8 # Smoothing in number of pixels in x, y\n", "seed = 1966 # Seed for random no generator\n", "alpha = 0.05 # Default alpha level\n", "\n", "# Image of independent random nos\n", "np.random.seed(seed) # Seed the generator to get same numbers each time\n", "test_img = np.random.standard_normal(shape)\n", "plt.figure()\n", "plt.imshow(test_img)\n", "plt.set_cmap('bone')\n", "plt.xlabel('Pixel position in X')\n", "plt.ylabel('Pixel position in Y')\n", "plt.title('Image 1 - array of independent random numbers')" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 2, "text": [ "" ] }, { "output_type": "display_data", "png": 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Tn+bd7373uKxcLvPlL3+Z6667jpe97GWcf/75lMvl8Xb0Z3/2Z/nwhz/Mn/3Zn9FoNLjo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m1a4n0kdb0u11eVldQla2H0K8gkRLDZ4faFdpwlQrf1BhKStlyL/WrPYr0Qk5VtsLqS3Nn4ZEIa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ua8KVJEr1xn3Z4BtHh+052J7F5ZNLnr/2jGgXUtUlh3ePsD2bPC1oDzsc3jvk6euPuXx6jqpo\nmLaD32lh+85+ank9qEjjFMM0MRq01W69YbdaN2EoHlmasVmumZ5ccHBzwuTehHAjvsx4G2GYhujm\nGuN8t8nnLItSIAmhIIaibcTqckmw3TG7PBdrXLDGtjx8b0BdV3SHfcY3RBQbrEPWV2s2sw0P/i/u\n3izW0vS86/1987S+Na89711V3VU9pBPbaezY5hwfn4BCEimGgBTERUBRnJsEgRFwFSEkQOICCSnc\nECRQyAU3RIILExQhUMJR4gztxI7b7R5r3PNe8/DN47l4vr2SEPt0jiPbdN6rHmpXrdp7rfd73+f5\nP7/fqw/oDwc8d/+7WXZXdIfSoFBURd5vmwjHd7d1WIGTpturLHVN1TD6innC9c1j+lcd/F6H45MX\nGQ1itNrYyqw7gzadUQfP974jn/dvdr3vxvb48WN+9Ed/VCINwF/+y3+Zf/JP/sm3/IV9o2U5Fq4v\ndaX1YoXnS10mCcXrmYQJbueWJZZs+VKmbWHaxhYHbrmy0XWGPTRdx215FHlFFuWCys6r5mkrKrki\nK6ipm4CsTriRjJLbFrR2tAkEsex6dHd7WJbDaromCWLmV3OyWEQomqZjWBbROqamxO91URUR4EZB\nSFXLabF2aqqyRjPkVKagUJZlM58qdBAUueLd1qPyLCdLU/J5imnZTczFRlGQ2kySEEdydV7Pl3Iy\n6XW23ctWt0VZVlvZs6YbKJVGkeeEmzVFLkpDTZeBccu1qMpSBuYbrpxh6jgtm/HVNYtFQa0WVDnk\nSd7Y2m35tXkOyM/G67YoGKDoFd1+H6flNmFrARegyOnGcmxh/DcRBsuxpQFU12wWm21oV1Ek4mFa\npkRdUCiyEq/t4voOtivvBd2Uq7tca0VS7DgepmPitlza/TaKKmDL29NtGqVUeUUSpcSB1N0M02A9\nW8NshWGJREZVpQKsqgp6A/y0PEtC2OsN8UYIKbbr0NMH6KaCbbfw/Z44D6pa6M6qun2oVUXJ5HLC\nZrmiLjRarS5Oy0VVFdyWs+XUxWFAnqdbSrCiKNu49GDS4wAAIABJREFUkmboojFUFJyWi9/ukMU5\ns4sJRVKiKjplIe+BumymWJIchT9jzYPPfOYz/M2/+Tf5G3/jb1DXNb/0S7/EZz7zGb70pS8BfF0Q\n5bdy6Q008em77/G1177Cy69+mMO7d4TUgHT3HM/Ga7sNnsjE73Xk+obSGKpK7JaDYZrsnRzBcU17\n2GE5XnL16IoslWuGbuqkccbN6bhh4pd0Rh16uz3iQKCH/b0+k8sbgicrdo/3Obh3xO7xPgDtKxkR\nisOYaC0oHd0Q0N96scZuOn23kwzzmwlpnKDpJqpiiJjGkQH729oVIPx629zikLI0kyhBlLJZLJmN\nbzBNB7/dkw9p26U77LGczphcXROFgQigg4A4bG+T8qupMOz2Tg7FHQHMLmYsJlOuzmd0h32O7t7D\nbmQlrU6LaBPhum2yqCDPE0zLRDNVTh+/w/XpJbt7d+h0BzhuqzmRuiRBQrQOxeCuCTmkPWxz8uAe\npm2RpzlXDy+pqorOTpf1bMn16Yy9u/tS34szeegU8vM4evGIs7fPuHl2w2YW/JHcn/gQXHrDIYOD\noVjfm05o0Tg6oyDk6uyUzXJNr7e3vQ34A58kSphdTJldzhp/QE271ydaRQSLJxw9OMHyLLLLjPV8\nxfRyyuhoxPBgSLSOyJKMweFQsEAtl+V0wc3pFVVZ0uq2eOEj34Xruw2oQUFVVfK0IFwHXDw+RVVV\n9k6OZJTO0Dl7+JT59RTLdOmOBnLzaLuYltHMxi559LV3iNYR0WqEZdtohuQsVV2j7fgSJA4S+sMd\nbMsjDmMuH58TxyGGqbNzcIhuyu8HNVmUCtj0A7Ted2P7zd/8zT8iSK7rmpubm+0kwq/92q99a1/h\n/7KqsuLmdIymGBw/fw/HlStCnkq9Y+fODvuHI3b2Bkye3rAYzyjyHMt1sGwpFKu6ymqyks0iK7YD\n7bfFUsdzpM2+WDC7iUiSUE4ott2ws6pt/WR2OaMqao7un+D5LVS1gTE2BWTN0Dh7+5TBXo+9O3tE\nYcL48or543PMyMHrtEiimCgIqGuwPY92t0170BFnQVPoFmN51lx9EvI8ozOSq85qPidYbXBdGfnR\nbR1qBRXJNeVJht/38QctRndGLCcL5tczmTV8dk6eFKiKRGLkqa6BojQJdYtWt41mqbh+C0XViDcx\nySbZfh8G+wPctkOR57htn7pSGO0doasOpu5S5AXL+ZTNZoZmqpi6i67JlV9gniKwztNMTqN1TQ2Y\njklvt0dVlqxma9bzFVmS4Pm+DJKvIxaTObqlYpo2vZ0eoR0KnKCpMz7+6iOCeYBt2zx4cIJpm7z7\n5hPQFNx2m/n1jNVkied3sG0PXbUJlwGPv/qoOXUppHHW+BAKTMug1W2RRGJ+n12LS8FuObQHsmmI\nP0PG2bI85au/8xpex+feCy+galLfK/Ict+Uy2B9SlzWTZ1N6O132Tnb56he/zMXTUxzPR9MMltM5\neZZL86XtN4FwDcPStykBTVNlUiYrBX/ly/zyYLfP8HDIarYmCRO8jgeKwmq2xnJtdk52ePb2YybX\nlwTBAtOy6A6anNw6IlhpAgNopNgflPW+G9v//J//89vwMv7kqyxKbp7e4LZd7r74gtjMm0K8120x\nOhmxszti0G5RZTmr2ZKyKHDzoulaWiieKoTZ2QbbFYPSrTkoTzO6ow6mZ7KY3rCaL1nNFwz2Ruzf\nOSJPJe1e5HJljdYh7WGHkxfuCUUjyVhNlvi9Nrv3dinzgqtHl+wcjXjw4ee5vpiwWk1ZBxOMyCYO\njkjjhCxNsSwbry0mqc6wQ6vXkqJ4lKCbgkpa3izYLDcksXDJ/F6b1XzOajbHOrbpDge47d3t5EPZ\nNEGGRyO6ow6WZzF5NuGZ/ozr83Om8zGO4+G4zTW0lCxUrsiDQjd1/G6bVsffTn0IDSRF0WTIvL/X\np6p6EhUByrxi/+gOvd4uwTJgNZ+zWSyIww15njLcOWIw2qPbFf+mYRkUm5gkSLYQTk1X5VTYa4mj\noeURrFfEgbDW6spgMw/YrJZE4YoHH/ku9u4courywFE0hdnFhKdvnuN4HnuHu5wc76PpKm995T3q\nSsW0RXoSrkL6uzsYltlcOUNm11N03cC0LCn2qwp5lmG5Ju1hG6/wiDYhj956iyxNefA9381gb4Tj\n20zPpswvF7T6PmWV8fZXvsLO4R4f+eRHsWxHRpRimeBodXxW0yWzyxm9fpud/QHhesHV+Skf+tjH\nMQyb80fPJLfouXSGfcHHB+LMjTcR0UoeBLe5NNfzcVypt/b2ezz/4ee4eHjJ9GomXdNMmi1e2+Xo\nxWOm4xuKMiXLI9AqQDbxeBNTFkXDY+t85z7038R6343tf7d1i7hOw5QkTOSEoWvoTVA3T3JOH13w\nOM7I8pKdoz2iTbQN8eqmjuUK+SHPc9RUpWw0bmkkQMQiKzAsQ55cqs5qsdjWt8anY4qiYDmZoyiw\nc2dHkNpVzeJmyvxmKteungxOm7bJK3/+FZy2J1LfqxlKrfOhj32SKq/RFbFH7dv7ZHHedDtVXNfm\n5GSfq7Mb5tfzJihp4/gumqGhmUPyrODqyQWjgz3uvvQcluNimKZ0/DQNRVMIl8F28DkOE1bTFZPz\nKavZiiKvMAwTy5YpitvZ23gTk2UyDE4jQDZtC8MyURUFw9DRfBW/28L1xWhfpPLzyBM5Bau6EIbT\nKEFVdQajXfJuX3R9wwGO6zZCazEsyRC/yuRiTFWV9HeHmJbF9aNryrJksD9g9+4OuqmhqVLwb/V8\ndqsd6rokXIU8/P13KfIC1/fYOd5B0SDLYkbHO3R2uzw9v0LVVDq7PeIwZnw6xrRMDu8fNhEURRyd\nvk2n6MrJNBSmW5KGTCeXdJMBfs9neDhk52QHzVRl3rhSuHh8ynI+Ybi3y/HLx/h9H5QOn/xLf5Ey\nLXn45UckUUYcyHvY9mym5xOC5YY0TZjezHj05jM6vV1e/B6dulSpNbjz0j1Mu4kDNVMjft8n2mhc\nP7lENw3a/Q6bxZosTukMxTZ28ewpRRVj2xZ5Q+yY30i917RNeaAD+3cO0TSdWikwLYtOb0CeFKwm\nK9bTFdEm+rN3YvvfbVVlhdOyhfcfyt1ft3SZH6xroYfGzaana3RHPaEslMI70k0dry2jNGVeUuqN\n4VpB9H22iWZKZMGybTLHwQglyFsDwXwjxNvNWsaHup6MNK0DgtWGYLWhykFRNHli7vXo7XbJ4ozp\nzZz1YoOq6Jw8f580SphdzfF8F3/YJlyEDZmXBjGkoalyLbylAd+ixv1+m8V4zmq8YO9kj+HRztaP\nqjYFZ1VX8TqejEsZGlksZq3VdEmwWmOYOl57QLvXxXYcFBWCKGazXG7Dn1VVy8hTUdLSVPS2I/OV\nitKIQgqC1bqpXdbkidS/vFsZSC3xkixJsR0Xw7S2cMRgOZVaWO5I+Naz2axW1HXVBIgrrp9e4ffb\njA5HmI6IreMg3tq3bjfxeJNsA9Nac7LUdA3TsbA9C0WDJ48lZNrqtKlr6RhKh9WW0aNaGjJ1ZW/z\ngGkkVBVUULSamrKhh5h0Rl2CRUiZQhzGLMcLLs/O8fz2Ng6k6yZ3H7zA9HLK4688oirEJ3s72zm/\nnhMHki/brEIunl6RZYXkIeMCw7TojgYypaFprCYr0iTD8V1pVJQleq1v3ahxEDUbak1RpKxmS84f\nXmy5hcE8oMhLrEZTuZ6vcVst7r3sC2wTeeAnoTzkq7ICBBP2QVofuI3Nbtn4fR87zYltkbzedtCS\nIGYZLujudDl8cMhmviEJY2yvT5aIZMQwDXrDDqYl2BZFVXB8RzqCeUEapXRGHVRdY3Y9Jg5i/E4X\nzxdHp6JJSLQoM9JUpC5BEjA+E1TMYGcXVddpdT0GBwPKouDxV55sc1NVUaHpktECofDmWbH1PKIo\nVEXJfLrk7a89klm+fbFxryZL1rOVuANcG03XaXXbZGnB9HzKerZGVcUnekuWvfNddxgdDSXOEIng\nOM8z4jjg5Pguh88f098bEG0i3v29d5he37BeLRju7tHpD1gv1qRxQp6nuG2b7kgCzHUDf1ydL7h6\ndoppWgx29zBtE6NjsP/cviCC8pxnbz/m9d/4PTq9Pu1eB9M2yPOcNI2wXZvdu7t0Rl28tmzwWZKh\nG4ZYz5cr2kOf7o7M9G6aE2jZFP6rpkPc6rboDLusZ+vtHKxpWpw8uAe1wvXTa64vTynygsFgH7/X\nxut4AncMVzj+7ZgRKA14UtUkJN0edjDdPY7yo8bvaVMWBevZmtnlTOqsZYVSafR7e1QJXD263FI0\nujtd4k3Iermg1fbpjroYtmQR1/MNWZzibEnOax4//Crr1Zy7z72C67fIohTHs4Utdz7dos1VTcVv\nqDR1XVPVFVmaMbkY43gOdx68QJ7kYjYrcmoqXNdH1w3WjXxmcbNg984O/f2BZEMXAeOzMZqu0R11\n8Hstsdp33O/wJ///3/qGG9t/+k//aXtn/1+Xoij8tb/2176lL+wbLU0XWN9t2FBRZKPp7fSoa5lX\nBKW5QoQkjdRY1dTtqS7axKiqKvKL5slZFgVV0zmi+T1t1246bNJ6L6sCt+Wxe3cX3VUaooXgwXVT\nx7IsDNOUUGVZkUYJSZiymqyokbqPaVm4LVdS767N6GgohfNEhL11XRMHMdFGQJFOS2IVYSMMcZvT\nZhzEZEkqFNsrMVsZho1uGISrUAq/y4AyF/pD3iT0/Z5PTYXpavjdLpquix6uqrA9m+6oR3vkYds+\numbhNJ1czZBoRhqlEgpVFFbTBcvpXJwCzRXYtCwsVwrodV3jdTxs16IoCmrYDmWXeUFZlk3MJaKz\n0xVkd5SIV3UVEyxDibzoEh5udTxUYLMKiYtym90DmM9uKKscrXawHclxVZWBomoN6jpitVhQZDkt\nr09HuyWHSH6ts9PB9R3xFKw3rBcrski+d4Zl4Hd9THvAcjbj/MlDsuKA3miHxWRKGKzp7w5xagdz\nY20H1LMkwWu7HJ7sUnV8LMvC8QX5JK9PJmMUmXWTet9yjWGYdPp9vGau97bMcovKun2PSPRJ/q62\na5EMOtB8PwzTxLY9qjwkS3JsX2ZWbdtBVQQnpTcnxyzOmJ5PQZFSj4waqhjm7fagUKTFt/Vz/qdd\n33Bj+y//5b80m8TXX9+pja2uRLqrqCplIZuD03LYPd4BBVazNZPzCadvncpwdlFJwLLj4vdaFFnB\nxeNLaqC322uiFDnz6wVqk3mL1pLo7u+PMCyTi4dnRNOAssr58Kf+HHdfvk//st9MNIDlahzcO5Si\neyaORmn159s373q1II5CeoMhiqLitiVS0H1wyOR8wvh0IkPOZdVgrpsOpfYHNUSv67F7Z5c0TsUE\nvg5I4oggWGDYOq989CNYtsfsQqIJt8YhiVdInXF0Z4eDBwfUwOmbp8yu5hiWiWEZ7Bzvceye0B74\n3DwdM72Y4bVF3dbq+2Rxyvh0Ilk+W2d6eU2WZhzcO8HxZMhcroc6s8sZm/mG3bu71BWCudYbjHua\nyxWvgmgdcvr2U9EUnuwyv1pw+ehSapplhWFY6IaJoqjsneyiVDWnjy6Yj+XnpRk6hqXzW7/225w+\nesgLL3yU5156mfaw0zR3IqHH4oFSUSsVXtfdhm6X4xVVJWKZ9qDN/GrO+OKSx197B9dr0+kOtpo7\nx3c5e/oev/uF/4cXXvkI91/SWcwmVHXJzt0RmmowOZ00D6iKYL1B1yoO9gakvTYXDy9xey38gS+y\nHkXBMA3ChoobhSHBas3dBy8x2B9SZJUARbsSGK8KyV+6bVfqmKoMqfvdFl4DIPX7bXkfplmDSyow\nTJM7Lz3Hwf0D4iaCUgNe26Uz7PDwy494/JXHdHdEyCyaPvlM1A3kwe38GQno/uIv/uK38WX8ydet\nPch0TLyuR5ZIMfbpm8+Iw4DlYk60iok3CZpqYDSzrXVZb9V7cZBgWMZWsXaLRb4Vy1qOta1TOS2X\nweEIZ+1ILaQUTpVpW1RlTbgKCVcbos0GXTfRDSmy62ZN0QAwXd9F0UTu63giGtksNnJiiVPSOMNq\n5LRaoWF7UsgusoJ7zx9x97lDHj08Yx3F23lQr+2RpylJJOb2VtejM+hiWjZpmDC9DplPJlRvpcwm\nPbyWj24YLKcLuqMuw8MRaZgSLsU10LW7EguYznn7996gLmSURndM3LbH8HDI7HLKavGMMFyhGxqg\nYjkuSZCi62JoyhPpxrY6HqZtsLhesJkFGIZNmUuQFkQS5HX8Ru9nML26ZvE/riEXf4QABeTGUKQi\nxDGaBlD5hwa9BWft0O/vUxcanYFggNZTuZLe1uBMy2K0e0iRFYJ353baICGNpXGU2PJQE2KvIJ+O\nnj8hizOZcIlsLNPj+M4LjPb2aXVbDPZ2xGhmmFSl1OhuCSmtjo/lubz35hOqCgxH3htlUXLz7Jo4\njFFqZTvO5vfaW6+rgoaiyOlLOtFrptFtBtNmdjkhWFUUeb41XE0vx4TrgOHBDqpmNWTfkCxJWc9W\nwuxbR5R5sT05W461dd9qTcOnKgXPnqVZcxq0JdT7AVrvW2ObzWb8u3/37/jCF77A5z//ed58801+\n67d+i89+9rPf9B/6b//tv+Xf//t/T5qmfOpTn+Lnfu7n2Gw2/PiP/zhf/vKXefXVV/kP/+E/0Gq1\n/tjXlmXJYrxgsD/YEjJW6xVXj66Yj8es1zM0Xce2XNq9PmZzGgFkRnIh8pLOqCOzjnGKqkiRPd5E\nrKZrWt3WltRhWhbD/R2iVotwGVJXUoC9VafVdU24CZhcXOG1uvjdLt2dLpqusZ6t5eS328ewDCxb\nnJooyIayjtjMN3gdD7cldNO6qvG7EsZMwoTnX7zDn//UR9gEEcv3TkEB05JNJIkiwnVAq9Wmt9PH\n6/hb4fD0pmS1mhFsVsxvptx98T6qqnP99JLdO3s4nivX2Tjb1vdaXY+rp89447d/n72jY0b7+1iO\nhdf16I46bBZLSbUvc1RNoT/awTQdwpUEoYdHQ+JNTLAM6IzEWTA9nxIsBGZZFSJLkSurKR/8xiP6\n5J23efruO7zw3R/i8O5dOZUrNAXxmPP3lk3tTWfv3h51Ja7RsqjQTYPd/TsMBoeCvK5rJhfjxiUr\nm5im6Qx3DuQhppvbh1yapOR5vgWT/kGQ2mB4OOT4pWPO3z4nXIXoZohltrj/0ocZHAxoDzqCikoF\nWpAnwrzLEjFQjY6k4fHOG0+kGzvqggJJEHPz7IrVdIXTatEZdhj0BihqB1WTAn4c3Cb9a6G6LIW+\n0j8Y4LVdLh9HhKuIuqwp85Isybh6ekkUBPR2++iG0eCI1pRFzvx6RpGWxEEstx7X3G78TsvB63hs\n5huWkyVZmpImyTbeYjmWlGg+QOt9N7Z//I//Ma+88gpPnz4F4MGDB/z1v/7Xv+mNbT6f88//+T/n\njTfewHEcfuRHfoT/9t/+G1/5ylc4OTnhl37pl/gH/+Af8G/+zb/hH/7Df/jHvv7s0SPancG2/mda\nMhheU2FYJrsHh4CKoqh47RatfovB/oAkijl/7xxVEay2qinbMG574LN/ssvpe6ecPz7FH3iURUuu\nqY3QRNM1+nt9vK7UPeIwJm+mEw7uHXJ4/1AEwppBq9+SgemGyb///B7JV2OC5UZkurZFkRVb0q3t\n2Xhdb1sUL3stKYwXFZss5Td/56uMpwuBTDYnSd2QkSKv7eM0zoP59YKqMbh7rQ7f8/GPUuYFVVGT\nRTl1leP3O2i6wWK8wLRNevu95munPH3rIXma8+B7XsFyXJyWS2+vh9tyiDexBG8P9zFsA8PQidcJ\neSrD317Xw+t40mkuSy4fn1FVJY7botX15do3mbOaLvBM2YDLotrWdHTVZm//LlWuMr+eYzoWZZET\nrDcNWnyHYBlQ5EXD6tcYHg4xHRPbs7l5drMdGo/jgMn1OW6rzWjncItcKvJCjFiRxC0MS04j7UEb\nXdco0ibmMxT3qaaaLG+W4tnIciZnk2a4XhwFAF7Xw0xMsjRjMZ1zfX6K3+nS3xMAaV1W9Pf75GnB\nZr5hcnlNUaYcP7jDnZfvMruYY7oW3WGX62eX3JxeUFYlCjWGaeN4Hq1OS06P9w9p+R5FmjM7n6Br\nGwYHI+qyIphvqIoapVa5eTqWLut6RRwHZFnKcf8OB88fMD4dk0YpXle65dOzCU5b6nTrmUA+L86e\noOsGw50DLFtG4NLwg0XQVd/vF/zu7/4uP/MzP7OdFdV1ffvP38xyHDGMr1Yr4jgmiiK63S6vvfYa\nn/3sZ7Esi5/8yZ/kd37nd77u1wfLtfDc52vGZzdsljLDaNpCjfB8sW8bughPTNvcquuy5umsqBUS\naQRVlzeq1/EaAJ8IRcQ2Lq1u6cCVVHUJSIH/NjgrM5ZtTl66x97dfXp7XUFSawpJEpLEIXmWgSIf\nRsF6C+BRNzSSOCbPMmlCNMQO05bN2ut6zJdr3vjqe2w24Xa0KktSSZs3T1vLFkJFsAhYjEWsa7su\n9166z92X77N/93Br47IsySOFKwn4tgftLf325ukVcZDQ7vbwfCFC3Ba5FzdCx5DxpAGDvZ2mzplj\nt2xsz5YPvSezvFEQsZ6vG32gjW6qKBqomoLbcWkPfGxPPjTBcoOh2+wcHGGaNlmSk8VSYgiWG9Ik\nRVERx4GqUjShUa/rbaGghqlvgZ+KCrVSAtWWIZdnQvW4PXnkaU64ClE1Ddf3yOK8wW4X2K7DzuE+\ntivU4Ntac5YIBy1N5KQcLDdUhcSF0jAljRKquhRgZkew5MKis7a2sLIsSZOE9qDDzvEuutV4Fxrf\naJ7lBMs1y+mCNBJzlaZrtDoeg4MhtmOhouD5LTpDqQuajtU8pF3a/S5lVjZlEwF83ioc3Y5LWefk\neYJh6uRZys3ZJeu5EKhvjV1llWFY2h9gpjx728X/oKz3PbG9+uqrnJ2dbf/9P//n/8ynPvWpb/oP\ndByHn//5n+fu3btYlsXf/bt/l49//ON88Ytf5KWXXgLgpZde4rXXXvu6X9/t79Dq+ERhwHw8YXox\nxm179HYl0jE+FT5bVZUYjrmNeeRZgd/rsF4sOH/yjN2jA9y+DLDPrmaNtq7i7kvPEa5jVtMVuqlj\nuxaj4xGz6wmP3niH3aN9uqMBRZoLvrlxfw4ZNlGNiuVqwc3ZJY/ffhNV1Zmc3dDbGXD80h3qsm6u\nJR1mV2POHj4i2uyQxfmWLWY5VjNUnhMsAqJ1SKvnY5kGi5slZVmSp3Jtvb165ZmEe0VAU0iGrett\n6btxELO4WYokpgnZGpaBruvML2ekYcbeySFZknP99JrR8Q6u74rgeROxmiylc1vVmI10Jk0iyirH\n8aWzHC5CUMBpOfRHwu86eO6QxWTGk99/D1016QwHHD5/RHenJ9GEszHz8YSO32WwPxQAQVGiWzp5\naqOqKmmY8uj199B1U2YfdQ1d16iabraSyfxsdyQCmJE54uTlO2iajq6Z26AtyOZoWAZxkLCZbcii\njEU2l1prQ8nw+z79vT5+38dyre2JzfJsFpMJT999D9f18ds9bM9pII8ljudx/5WXt6Z7VVOFEjLf\n4DaawLI4kikT22F+M2c5WaBpGsvJEsM0OX5wl5vTS+IwZud4j4N7Bxze26eqaiYXUyanYzbTNYZr\n0hl1MC2TqpC501avheXZYpufb9A0HdQa27MxTYfFzYzzJ49I44RWzyfcbLg4fYzXd3HbB2RxRrfs\n0+oJM6/dl5E9wzRYXM+/6c/8d2K978b29/7e3+Nv/+2/zbNnz7h//z737t3jX//rf/1N/4GTyYSf\n/umf5s0336TX6/FjP/Zj/PIv//LXjZV8vfXo8ZdRnijEYYht+hydPEDTRUShGzqD/QGbxZrVbMVq\nPiNJNhT5LppmCrPMNLFdp+HsS6BxvVgym4jgwzAsdFPDbAkhxLQMlLzAMMXKXVdSzG0P2uRpzjia\nEK0ippdT6rLehlp106Az7JFsUpY3K9q9Hp7viiJPU1AUGekxDJMiK9nMN8RBSE1NZyAxjNvuVtbM\nsUosRU5qtmvLldCUOdeyLNENnc1izWI8JVxtWE1X2K7U9Ny2R1XVpGGylbFYtim0B03mAR2/BcSE\nq0hOG0jROtpI00LX9eZkWZNGKZphoOliMyrzkiAJmoBrBbXSXLFblHVBb6cPpYppitW9qiqqW4Kv\npqFqQun1ul5DK1GJ1iHBUmnwTLLh265NVZRbt+Yt5tx2LXRDI9wEkCm4LY84CFmvznGdNoZlNd4H\ntgHeqpLxIRCBT1mW2J5DFGyIni7pRyP8Tlc2RUXB63gkcYiqaJRFLTU/0xDVXVnhei693T6Kgkyz\nNDQQBQm6pmFCVdUUecV6upGTdy6xlfn1nKosyZIUVdOxHRfdEGlNHCTEUcJytubm9IZgGTDYH4Ci\nbEUxWSKYc13X6Y662K5NXcnNAiBcRmzmK7JGDjS9viYKAqIwAEXERVknoygLgqVMjzx+602ms3Ms\nxxSb1gdove/G9uKLL/L5z3+e8XhMWZbs7++TZd+8iuu1117jE5/4BPfv3wfgx37sx/j1X/91Pvax\nj/HWW2/xvd/7vbz11lt87GMf+7pf//0//KNMz6dMx9esF7MtQO/0vccMD0Z85FMfZXw6JY0yLs7f\nI0lC8rTEb/ckyOn77B7vkcUZ0SYmWAcs51OWyxt0w6LV6vLSn3uF4xeOhakf50RBjO26HN+/J5uK\nY3Hw3D5lLhtSuAoI16F03xwpou/fPaS3M2B2PuXy0TU0foT+gRAZVpMVjtfi4O7d5hqQsprPqaoS\n23XwfLlGm45Ih9MolRqQLa7S4dFQ3AOeRbgMyTMBP6qn8OTtd5lc3kAt2T2n5dDd6eK23a1H9TYb\npunCgUtCHbXZbDvDDpYjxeVbSOfhyydilY8SwqZz6Pl+kydUSKNEOmmxdNNUVX4vXRepju04TM4m\nzK8XrOcbwk1EkeTEoVxvFUUliRJ6Oz1c322UwczkAAAgAElEQVTGsWLiIMRybfrDIZ2BmMEW1ws2\nCwnqOr6D3xfVoa3aPHvnsegZ210mk3OePX2LD33sE5zceyBD9HGG63tUpeTG3AZlFK7lodLqthhf\nn/H2V7/M7t5ddvdPtoPvlmPSGfTZPTymrmiQ5i66rjcsNwPHt7E9B03XuHx4SRLE2L5DFmc8eeNp\nswGVuG0P0zLRm2787HJGHIbEQYjtuNiuSxZn3JyNuTm9oa4qyrIiXIfkacZmERCspKNNLdMmUkMs\nOXrxmFZX6rST8wnT8yllWUjN02ijVgbnj59Q5IJ40k0Dy7NolS2iIOD6/AIqhdHuPp/+S6+yd2+P\nr33ha3zhV//rN/25/3av993YPv3pT/OLv/iL3Lt3D5CN6ad+6qd4/fXXv6k/8FOf+hSf+9znmM/n\neJ7Hr/zKr/C5z32OwWDAL/zCL/Av/sW/4Bd+4Rf4xCc+8XW/3u+3mV8vcL0Wuq5h2w6KoqIpJsEi\n4O0vvUGZSUCx3RmgajqzyTWKVnPv5RdIo5TxxQ26bqBpOr2dPk7bxp072yflei7ol92jfUzL3haM\nFVVpiLkCnZQclQR6400sJ7ympZ5GaTMepTA8HFJXMDmboBs6bluUcgpguzZJGBGsV7QHXSzbQlXk\nROP40rVVVAVd1zFsA8eTwXDZjBKmF1OWszlJFOG40unUNUtCqpbZcOpy+nu9xnsZNwQNlTiQ65mi\nKtTAYjJvNiQLzWhs4YbQcKN1hGmJci6NEuIgZP956UKOT68biKXQOgzLYHo+ZTmZ8/pvfQnLtjH1\nZl7RNIjDGMPQpfi/NgVUsG5gmWXNer4iWEst1W17qKq2NdXf1qqEHCzd4fbAJ1iEZGnK6GiX3s6A\nIq1QzArLE6DlcrJA03W6O1K2CJYB8bN4a3VyfVdw5Ar43S4PXnkFpRQEehwEpGnc1EgNejt9+Vk7\nJnkiD6Ui1wiDiPidZ436z2MxnhEsA1qFT1VI91I3dHTXampX1jbgXRUVZemTZ5nACWYL7vTv0x11\ncXyb5XjF5GyC322hDtuE64g0zMSz2gTKw3VAliaUVSlgSFVBUSDPs0b23LgO6pKy2kW3dGzXxjJd\nLh9e0hl16Ay7DEajrevidr7YdP+MzYr+7M/+LD/8wz/M3/k7f4eLiwt+5Vd+5U+VcWu32/yjf/SP\n+Kt/9a8SRRE/9EM/xPd///fzfd/3ffz4j/84L774Iq+++uo3VPy5HVeKqe0OqtaVmc+ixHVbrFcL\n3vjtL9Mb7rKzf8hw5wDb8Tg/e5es9Ni7t8vl40vG55d0+wN6O0NGh0MUTWU9G0qmytJ58tY7XD6V\nMaHh3o74AJph+/V0LfZtVezxAKqiUKQ5eHLt2yw2FI2f02279PcHzK/mzC7nwhvLJCtU1zWGqVNV\nBVmWcrh3TKvtMz4bU+Q5miljWJoqH2SrMR65vtjfFzcLzt4+Yz69EWGvaWPoFqZh4/k+TtuRN3uS\nNlBKGb0pmtzT7WvQDR0FWM+WWI4QbW8FLoZlbjt6titNgjROSKIYr+MKZHG+RFU1/H6H0bEoDaNV\nJHXGd66xbJvR7iHtfhvHF06egkJvv49mqmRpQpGJ66HMClBqpuMrscrfuUOZy7xpVVVb1aHwzRz8\nno/X9ZhePCFYBLzwsRdwWg7zyzm9nR4oz3H1+ILleMHgYMTwcMToaMT4bMzN05stulvosgK07PYH\nHD9/l/HpmPHZmDgKSLMY07LpDESG3N3t4nU8JmcTMcsrECzWzG+m9EYDuqM+i/GcJIgFJKAL4NFy\nLUEc9aV5UlYVqqJuv981FRcXj5hOzrnz0nN0d6UjXFenXLx3weh4hNd1efq1JxR5Lpk3Ra7rYbBi\nNU8IlxGdgfws6roCZGh+dLgjEQ9Dw22aU163xbu/+y7n757LQ6LfYXSwR7SWuImAUmspaXyA1vtu\nbD/4gz/Iz//8z/MDP/ADjEYjvvzlL7O3t/en+kN/4id+gp/4iZ/4I//N9/0/EW48izOyOG3GQRwZ\njFZFX6deQxAu8NouO8c7TRdqn927I5yWKM8c1+Hw3gmO59Eddrnz/CF5VhAuAnTLoD1qc5ie0Fn1\nsR0Jijpt6XBRQ1FkLCYT1qsZhmFg6CIL0QwZ3QlXIWkcC8k2yylLGV0xTDmhCEVXuqNpXVOGCYfP\nH3Pve54ni3NW0yXXF6foumTvNF2nPWwTLDespsutM7LVE7z5zskOg8MeeZ6RxYVMGaxiUJrrpmNt\nOV0oCoODAdPzKdePr/A68sZ2m3Z/0QQ33Y4IlqWgLnUwtbFwyWiadC6vH4sMJ09LdF2C07NLEbSg\nQHfYR7cErDnY39mO/9x+r2S+dSXI8zQkTta89OpzHNw55Pz0gjhKMQwLv+vLFfFszMV754J5b06t\ndS0YpdvO3eJ6Qeon+AOfOBCzWJEXKJpKb7eH3bK5fnrNarLaXsN7O13CTSQn7FrMVm5b1Hm2a9Hf\nv4PXbeF32+RJzvxqRpYKNn6zECjCfDLdDo7nDclZVHcuaZRRlTmGJdmy1WJOtO5gew51De1Bm927\nu4IQXwUinVYN1hOZRbVdm3ATkCaxwDmRE3x70OHg+UOCRcD1k2sJiPumTIEocPX0UgRAu0NURTJ6\nraahlMYp4TqieHjFarxC1URlmEaSwatrmtG9RDrlo/af6jP/7V7vu7H9s3/2z/iP//E/8uu//uu8\n/vrrfPrTn+Zf/st/yY/8yI98O17fH1tVc20QcoMpKCJDx227VBQsphMMy2zMTxaaJhk33dCoyxpd\nN/E7nWbQWU5bejO2ZDomrU6LutzDbYUUmdSAnLZY0KNNSBI1DPm0RNMMLKuWGVHLlKJxY/XJM/Fe\nVnW9Bfy1uh7tbgvLscjLkqSxgntdj/7ukOun18SBdBpNzcCyDAxb5jLjIBKAIjVZnLK4njckCxXb\na6EoKlmSsVbXJIFo4YQUqwIV0UroqLejMWmcNlmxcttd7Qy72w2xzMtGHp2TZynFOqWocjFFoaAb\nxrYzazadSpAZRgWgrnFaUjvTTJWyytDM1lZ4vU5WXD09l+kBy8TGoVZyBvt99u/skeQF05sZ0TpE\n1dv4vRYXjy7YzDeoQxWlo2DYJkkQEy4DTNvAdEzCVYiiKrSHbRnfaognhinBZcu2GC/H5GmO68uY\nXavXIlyHDa5KGiooCrquYdoWjufitjxsz6Eqa8qiJFgEW6R6XdeouoLlmmiqxDeC1Yb2oINlWSRh\nJpJkVZX62HqNaYr4Jm0QQpqukSc50SrCdjx6fSlfhKuQ1XQlMZSWhJkF/CgQhM6og2Zo4jtYBxRF\nQXvQRtNVVvNlUze9lQTF2M2VMtqI5ChchqiassUS3XZzDVukOFGD88ob29gHZf2JJg+++MUv4jgO\nn/zkJ/mhH/ohfuqnfuo7trFphsaDj75AuAxYz9asp2sUTeXk5WOGB7vE65goiHj4+rt0+j0UFc6f\nPaIz7PKRP/9xeSpuItI4YXZVEywD3JbbnCxsNF3F67hUdcWzN68AeYIvZwtO330CpYrfkYFtTdfI\noryhQJjbIGhVVgIFHDX+yjjf1lJ2dvv4XZ+b8YzJxQ3XpxcE64D59YI0TFHQuPvCC+wcjrhz/w7L\n+ZrJ1Yz2sNM4GtqkkejWsiSlLAVtYzkiuAHZrMuskBnEICZPMsalmNtbvRZVVTM62flDJ8y0MWU5\nVFUlGbJQ1H1JlLJeLJhMz2n5HfYPn9ueag4fHGK5FjdPb1AUpAPaGJDKZkg9jVPW1zNW6zEvf/TD\ndIc9ok3E+OKaq/MnWLbD0d3nOeof43VdVMvm4mzM9ekNk4sblrMZi/GM6cWcIstxfY9wHVHXCCgy\nSomCmF5LlIS6oVMVJevpuumCFmi6gW6af2hMzpHGRjMDqxk6SZiSJTnd3R6aIXigoijRDI3rs0uU\nC4XR/i5eu8XOnV0hjcw2tHotBgcjjl48FsJMmHL+6JTr0ws0XcFtNcRbVbqviqpimhajk106gy6X\nDy9lSD9IWE9XzK/mDEZ77B4eUpWgKmJkN2yTB9/7QoPc0vAHbYpMSgRe1+PD//eHef0LX+L66SXd\nvfvsHu9RlSU3z8acvnkmG5VjsrhZND4F2ayKLKc97NAZtrciZbe5oXhdmUbYzNbbKNIHZb3vxvZz\nP/dzf+Tf79y5w3//7//9W/aC3m+VjUOgqmSURlEV0jhhfHGN5ViMjveYXoyZnN9Q5CWmbeB4HqZp\nkTahzziIAcmTRUFMBTieLaSJdYRhmzieLTb2spKIhqKi1AqmbeO0PEbHIxRFYXI6QTM02oP2Ni+W\nJGFTC+rLSSrKtgz+sqpI04zVdEW4ilBUVThp4yVJHKOZGq3uHppmbruPtyFRwzZwfMHH3NaaNEPD\nMMxtwJOGEJJnOUmQoJtyDZYrY068icWPWdV/7JqpqAoqKpqukjedWL/XQrcgiOaYpoVpSezFcq0t\nH41ags62azG7litzZ9DFck2WE4kjKLXWRF+WW+GKquhomvx+rU6b7k6X5XRBsAzI04KiyFnMJsRB\nSBKktLptbNfBqA05uZhyoohWwlVzPYe9/SFVWTGbLjEdk8H+gCKX+dW0iWdYriW04zRr7FEJaSRN\nlizO0E0dx3ekE1kUxJFkBXXTAEW8GYZl0Bl1sFyryQPKgL+um7T7beJQyMq2LQPrZS4KxXZfnBmm\nZZLF6Ra/VGQFaZKRxhl7d3bp7UmDI1jL6F1ZlCg1BGWwbWbdbtBOS7BbO8c7aLpY7Q1LTq9JlBBs\n1li5oJZiaALo8ZbKomoSvl3PRLBtWPJ3ScMEy7Ww3NG2m/5BWd9wY/vc5z7Hv/pX/4rPfOYzf+z/\nKYrC5z//+W/pC/tGK0syzt4+E4HsXk8sUUnMO196g/7+kI/8nx+DCuJVSrvfod332b2zJ/ywIGWz\nEEZbb6dHq+dLorqGOEzI0pw4SBjsD3B8h72TfepapMQStmzouqbB3r09Mb5fLyQUejJi/GzM7GrK\nbHqNokB70MU07UbEW1EUJfP5mnq24tlbZyRRQn80oixk1m+zXlJT0eoIheT07VO0BldTlRU4Yj3y\nOh67J7tw68fUNaghaZynZVVSJhWgMDoe0eq1BPOcCxEiDgUJZLuC0emMOli2SGEUTcGxHGZXctXd\nf/4Aw9IxTBtV0+jt9DBMA60BV0abiOVkieM7IsSZzrk+vaC328NpeVw8EUXhzuEBSqly9s4Zdsum\n0+9BJYipsqi2FvOz956yHC+498oD3K5DEgdkieS/VE3Bsiw6ww6dYUd0gcuQYBlIQdyxuPPKA5ky\nKXJoamir+Zzp1Q3hWkxihi1op8nphLW7lrncKJWf580Cx7M5eG6f6eWMshRTlmHpDPaHbBYBZ2+f\ncfjgkP3n9wkWAcEqYHI2bvR7bQa7I9q9Lp1hd8sJjIMYVVMZHY0YHA65eO+C64tryrzcTnfUlZzq\neqMuh8/tM7tZCNx0EbBcLLmJEjRNw/FdDl84pLfXw77F2m9Cjh/c4eTFe4DC8mbJk9efMLm6IQpl\nOkeaHAplmRPHojV02y1AIQ4TxqcTDMvg5LtOKNKcm6c3HL14xMGDQ9Z/VnJsf+tv/S2A7bzmHw7Q\n/n/hjL7VK4szdk5GTU2gZj69YXx5TV0p1IXK4nrZ1I/MrZugPeg04VJhjg0OhoIIqiRUWZUVySJB\n14VP9eSdt4miDXsHJ7itNoubhYxYFUJ2tT2baBXJybEJYt48vUFBYXAwpFYL8kQ0bVmZyofDMnA8\nmzhMiMOI9XJJXUodsCwy0iTDdlwsx5QRnyRjNp7ieA5e228iFhGGpaHpOnGQiDFrr8f8as56siYJ\n5TR29OCoES1X2+vZLckkatDq/b0+btvFci3qqmY9X0sxOc+pt2y2rmSkaoWXPvyAqq7JK4E75mnO\ncrykyHJ2TkaAwmq8JE9KdM0mWsUoaPRGg0Y2YmzhiGVeomqqFL5XK86fPCWJA6LNHp7fxnYcwmVA\nHhecPLiP7boC+lR0lFplM19TFjJdMZ9MmIzPSLINZZ5i6zpeu0UYRbiN2am/NyAJYyZXV2yWc3YO\nDrbv4yzJKDKZ+XV9l95ul1a/RRTETK/GXD+7pNPv4fdlJjdL5dfeAi2NRumoavJ+ioOoOQGmaJqO\nogp8AUVYeGmccfHeuYy3uRarWcO0U8UVoekqD998l5urc/p7uxi2sR1t0w2NzSLY1vWidcTiak62\nvVK2G2O9ZAJFGynhbU1X0S2DNElAqekORHPotrymVi2d99sZWBQFzdT/IFLUuGc/KOsbbmwf+tCH\n+OVf/mV+4zd+gx/8wR/k05/+tHQGv8OrLEtOXjwmS6WDOB3fMB1fs3/wHLpqMbucSZrd0IjWAeEm\nkOaC7wm/qiOm72gdUZUVtivxizyVgKvTcnj28CFnjx7yf/yAj2E4LK4XlEWJqir4gza2ZzO/nhMu\nw615e/xszPBoSG9XsmjROmo21rLJX8nM6u24SxyEqFoDXSxEJdfudvH7bVpdn+V0ThxuUFQFy3GI\nw4iiKFBgG+psD9u4bYerRynz6zl5mtHb7XFw/xDqmjhMmkHsepu2j9YRnVGH4dFQKCa6yvjZmOV4\nSbAISBNxHbz4sZfYf+6A8bMblKrm7vc8T1FVjG/mJGFCnMesp4IvevDqfcJVxMPff0SZ1biOTxLI\nB7u/O6TIC4JFsJ0SWFwtAGRDvMyYvXYlVI0Y7n3oHrZv884X36Suap576WVaPR+7ZbO8Wcgs7FJO\n3aqqsJhOWK0nFEUm43PriM6gR2fUQXek09sd9cnTjDde+z3mRUm7J9MBgtPOG86Zht9vsf/8AVVV\nsZqsGJ9dcX16LlLsxpdxW6taz9bMr+bsPy/4It3QydKU9WJFuIxIghRVF1hjlqTYnkNn1GFyPubq\n8RX7zx3Q6rdYzqZslgHxJsZtt3B9h0dvvktRpnz8L/5ftHs9dFPQV72dHldPrgV5VZRsZuvtUHtZ\nlAyCIeluhuWKv7QsS6q6Bmq0xjSVplFDZd7Bdh25Phvim3A8G9WQjU1V5bobBwlREP/Z2dh+9md/\nljfffJO/8Bf+Av/0n/5TPvOZz/D3//7f/3a+tq+7du/sYlgiqF1cL3GsDnsHFsP9EY4nNqFgJdMA\nw8Mhfq9NVQrh9hZzlCUpR/cPcFybLC+YXEyINgGKCq7vMhodYSguyaZgHN+QRCmaLg2C66dXQI2m\n6du6xi2V9+b8kusvndHt97Fdl3aT4HeaYOTt2MttLUYIvBVex2tOX32hxDb29p3DfTTdaPhwHfKs\noMhLirxEUVWevPkej956A0N1MR1bhs0NndnFVFj+LRuQkOZtsDWN0y1uqabebnZplGI1V+reXo88\nzbl8eEmeZGzynN/6HxMM08R0pWaUZ7ko/Xo+3X6HPJb6lKqq2B2bwcFA3BRRtj3BKKrSDKILQDNc\nhViWy4c+8X2oaOiaTbAIZBTMcXHbYoTPkozrJ9eMLy5J45jD5+6gawbr6RrP6/CRT36CumzG1Cwb\nVdUIlkHTyJG5WkXReP6Vl6U2q+sUVYnbdrCcLig1Z48eE4RzWn2PqpAwtYrBYGePeJNw8+y6aTLI\n38Vti1vVdMR0tZ6tmd5cMb45YzDaZ+/ghFanhW7qDA5k0mCw3yeNElaTFV7bxeu2qMpj1rM1wSLc\nkl6On3sOtBpqkducvvsYt9UiWOxtyc7L8ZK6qnHbLr3d3lZEXeQF8TjeNoWoJAlArVCVNbbj4bRs\n2oOOQE1nGzo7HbyOJ98nVUbhsiSjLEupLTcUmg/S+oYb26/+6q/y27/92xiGwWc/+1n+yl/5K/9b\nbGy6oZMmGXEg9SRDs9A9U7peDf1BHJw1liOS2mgdbesXKDSWcBlZSpJUtHGKwA/zLKfdHWDqEksQ\nkq18IMuyIo2l0+a1W9sCclEUZFlGlias50ssyxE/aK+FYUuBPdpEW51ZkRfbDFNZlNhNEt3vtTAd\nk2CxoSwKWu02VVVLulxV0HSVWlWEAqIoLMYrpuMr9o/uMNyTKEVd13JFzMttNEDVVOqmk+m1PXRL\nfKPhKqAqSzkJaiqKCnbLYXA45PHrD7l6conn+1RFyWIyw+u02Dnab2ZB6y2yusxkYsByJCpht2QC\nQ9W0bbDZsHTUZiOv64osK1jczPE6LU7uP0dVyca/uBKLUrsvH7bb8GlVVmyWK9Ikwm2/hKHb/y97\nbxIsS77f9X1yHiqz5qoznzvfHp66W2p4elIgYQewIMILr7wgQhu00wI2wMqs2BDgHUQwaKEVK9kR\nXjiwg0BgBkOglt7Yr6fbdz7zqTGzKufJi1+eesJGDgtbempCubvd51ZX16n852/4fj9f5udzLNdi\nsD9oMVYit5GNbE2ZFSyvlkLAVRpc30dBIWptSHZHUuFrahS9IU1jFpcz6ko0eaqm0vG7FLno+ZJt\nQhRu2axXTE/26U17kpa2TSmygjROCFcrur2h5Fu0GaluVygklmu13lJJRhP2XhcalTKr2iQ1jcF4\nhGbo5ElJMF+zWQVkUU5TqPSnMle7e3+9sbggDNMg2sSkm4T1bCnylaxGUVQsy0ZBKCeWLagrt9vy\n+O4CgDSFosipy4o0SqAR7p8AAL5ZG1H4fzjY6rrGMOSU7vf7hOEfj+Hh2Zdv0U2DsiixXJNNsN5Z\nSbyeT2/cx+v5OJ5LFMRsVluRYmgam5WQdy3H4uVnbyjSXJYHiiKZkJ6o+ou0oNCLnUXKci2STUI4\nD+lPhlgdi6oQ/dfqds3qZsHrL19iuw5HD++Tx7JR3L+/TxxGnH11JgPyuiZPk/YpPqUqKta36x3+\ne62uKcqcs69fUlcNvb6E6Ra5LBYUTeHkyQNsx5GkprpEQcM0BabY6coMaH4+p2y5aL1xD9OWNX9V\nVHgDb2div3jxljSOOXp4iuPZXDw/p35T01QNLz//kqs3bzm694jeYMxwbyIZogdDmlYScvPmlnAe\nksUZpm1y+ORoZwhfXC1pmpq9e/uSj9rCF/M0ZzVbsl1tWM9UxkcTuuMehqaKM2KvT13VdEc98jRn\n9vaW3rTPo48eslrccP0mFliiLT7YMi9ZXCzYu7+HP/BZ3a6xOzb79/dZz9acP7tgsw5I4wTLdtB0\nqVa9vjDONqstWZJx/8lTyqrg6tUVSqPidbsUWUlVlRzcP8AbetRVw/zqmquL13RGLnvqAVEgWG/X\ndzi8d4LT0m8XlwtCy8B2LTp9WQZt15Fox8KI8sUla1/Q3Hek5rtEL3kQNYSLDXlUMpzs7+Q7dyy4\nu3St3qTHdh1x+fySpoEsS7l8+4osyej6Y8kxNd3WOlaim+6OEK2ggCIAgHARMr+6Fj3cNmF8MGZ8\nPGnna6sWGPDNuX7fg+1HP/oRvu/v/pwkye7PiqL81A66NE5REjESF7lgkXVDF51Xv7ubpdV1zfJ6\nSR4LdZWGtiVRMC1pH+JN/HtySeWj0A1dUpyiCMPq4fgOg2mfRbPg9u0NuqXtEMpN3bQrdVGsq4qG\nik5dSUDIXdr8nQyjLitJFUcEo5ZltrTWdmjbYo+yOKepofZrkkgoqIqm4Lhuu8GNWNze4noeTz56\nh7IQJlhZlORJJvSLbUJVVZiWKWG/WbGTnEgF1ZJBcr1tj1WM9v3MLwUioCga8SZC1y38XhfTEktX\nuk2pm4bu0KeqxOYUxzFpEuP1fGzHkQomSnH9ENM2pYIqSjGudxyaumJ+fYs2UxkuhDOmqGo7GAfa\nNrksZP6ZJTmGYeN1e5imRVFmLOaitu/2huSpwAruBMU35+dkSYlmaCRxRLBY0RuO5O/mBZ2u2NLu\nBKm6IbCBKNhiWjaWY4k3VhFpTZmVVFWN3XE4eeceo/2RSCHaIByn62LYBk2t7ggvRbtlV1t+YZEX\nFFmO23UxLBPTMqiramemv2vVQb6rRV4ACm6ngzUyMR2TNM5ItgnDgyGu7+4q07oWGVS82ciBXJRE\nUYjTddi/f0AUiKBY1zXyNGNxNZPW1LVaxl2Fboj0RgLIsx3DTjcN2ah+g67f92CrquqP8n38v74M\nU4Im7pTTdQXdwYAnHz2h0/fJ03yHcbEcUVzrut5qt+RLrCiKkDBUlSzOdk8sVVXpT3tEYchqNhfC\nrCZcrvV8zSaQzaNumju3g2Eb2K7D8aN7bWZnsJNCvPnsNd7AY+/e3s48n+eCIq/LGrtriw+wNTLb\nHVGWD0ZTshY3s90EzGfX3Hv8mOFkShwkzG+vePvqGR//V9/hwz/7IcubFcvrJaurpSjvNZUyy9ks\nU/yWSnFn2I5akW5/b4DtynB4PVtTFRX98YBkmxAuQjrOAOvAIwyWLG5voFHoTfqYlklwGxAHEffe\nv4fX8whWIS8+/YrPPvke9999wsmjB6iaSpkXnD87BxRURd1BD4+fHlEfDpjdXLCczei88vH7XeyO\nVKJ106r5VRXbc0R9PwugVJnsHdAb97m9vuDF15+yd3DC8cP7REHE+naNbupsghVv/+3XTPb3efSt\nb1G/KUmzLdPOAbbtkM/SHa/OH/jkWc7ZV2fMzm4o85KOL+200xFL3fxizjxZ0Ol1GB/u8f4v/AxN\nDWVWMjwYysNWVUg2IiD3h7LsWF6ICT5ab0k2sQzwXYvp6R7+wBMO2+26TfNyd4lki8sFSfvQVS1Z\nWhw9OeLhzzzge//y+1y9ueb+B/dxOg5XL652+QzRiw3bcINrd8nUhNXqhsm9Efe+dY/VzYp1u90P\nFwHBeoXf73J4/7hFVMFof0q3X8iWtSxZXi7RDI3+tC+f/zfo+sbliuZZRrgMKPOq3dyYmLbJ8nrN\nNoihgYPDCQePTniGymy2alHgElmnqhIkHCzWbNdbTEsEllKBSYvVnwzRDZ1os+Xi5Vuaut45FJpK\nPHTdURfd0ljdLMUrqusEywXRZsv+6RGGabG8mrMNBIJYtL5LVdV2OZC6aexurDRKWd+sSBPZoLl+\nB8PSyfNEqjrdomnE7tQd9DlRHqFUOvnEI0AAACAASURBVC8/fbWrhCxXSMF3iv8sycSKlRdYriUz\nL11DUVWZOSoKdV0RLBaURcnUPqDIM4LVArfjYVk2rutT1RVFmrO4FPyNP/DZf3DQVhDyvqkUDu/f\nE7uaqjI+GtMb93aV252pWjM0oQSbJpPDA+IwIQqjFiMkVGJVVYRCbKk7SUa0joSEbGm8ffaSJN7y\n4Mk79IZjNEMjjWPSOGX/3gFFZbHdBLieoMoBaCAKBb44Oprg+i7bdkyhKIpY6WpJsFIUlWgtbZ/b\nE+S56Vh0h4JpCm6FPJJF2S68WTd1guWSyzdvGO/vM1b2uL05J1is6fenuJ6Hrig7OGnVyj0cz0HR\nVNlibxOiMCYOZCbsD/12o7zh5s0tdSlayE7PY34+b/Hq8nt3uy6nxj360wGrqxXJVrIqHMfn5s0N\nui7Ls7qqsWsHt+9SVyWzi2vsjotlO5S5HGh3D1pVV3fyj50M5BtyfeMOtixJWc+XGIaF43awXBtF\nVbl9e9uKFx0ePzjmycNTFrcroixjeDAUVf1cvlh1WRNvIjarkOnx3s4AXtcNSZTQHw/xh10+/50f\nsp4vKVOp+hxPWhfdkIT3qiy5eXtNkZVYls02DCmqBLtjYtkO84uSJKrYLM12AF4JfsgU/I9gwIW+\nKnOpBWmUMr23J35YTSIGVWQxUuQFlmMy6IwY7++xDbZ8/d2vcXsuXt+Tw9bQKfOCLMlaDdKM5HbN\n+Gi889jKAZ5KnmleEK5FzjLaG1OWOWm6xXZtdNOj0xXrTpHJwTa/vOGj//pj9h7sEa0jVrM1y8sl\nqqpz/90nkpBZ1/SnUt3lWU44D1koi13GaZ7lmIrBeLpPoAasbhY7rM+dPGd0NNq5IepS0rz8gYeq\nw9mz15iWxdMPP9q1z3mWkacptmdTNg6K2lCVJXmSoyBZFFGwxel0uP/eA3RdJwpaf6jZLjxck7oc\nslluWF0v8UddmWf5Lg7QG/dIo5TZ29kOIim5oPLwWi8W3F6dCbTT9ZjPrgmWC1y3i4snI4FUZClx\noNHpexw/PUIzdDarDdvlhu062mV5SO5pxvxiRhTGzM7nDA4EWHrz+pqmgfHREKfrYDoG+4MDxkcT\nXlWviCwJFi/ykotnF+w/2Kc36YnbRVMZH44k3+DFV3SHQ7p9KRrqSnzDdx7sO5nQf3EpVX/crqos\nKcscVdEoi4LF7QZVg95gyPBwyN69PcIk5n//5/+By4tbtpFYQTabFS+++BxNMfA6fRGP7o2YnEwE\nKX5xRZ6lbZ5BgWEbHN4/kbI8q9kGIeFqyeMP3+Hw4UlbhZSM9sck25Q8znn/T/0Mo/0+4TJmebOi\nLCu6A5/DVqEeBZE8/V0LRVG4Obvg8+/+Lp4/oNPpk6eFbPbyUtqXbUKn53H8zjHz8zmb1YZsm2J7\nzk5q0R12d9DI4cGQqqiYX8yp6wbDlvlaVZUUbdpTnuSUVUFDyfRYuP6eLwN7x+/QGfgM9oYUWUWV\n1Tt7VhappElCmmSSN/H6lsXlQobUrSdWvIsB0SbC7XR2ejtJRLeIg5LtKmR2c07dVLh2n6aSjN9O\n16U76XF984o0jjh65xDT6tFUgty583aiwr2njzFti063I0uSUrDcChrLqxWoNT/z8bepS4VgFmDq\nNoPxhCSKMUyNyeEIq+OQRKnISxZrbs7PaZqGw3unuL6DYe1RZAVnX7wliRJUXSNtLUbdUXcnrRge\nDFE1leXVksnBPk8/fkJdKuRJxTsffEASx1BIvsB2s0bXTWzbZXg4pDfu7ixaZVYSbSNW8zlupyPL\nruWmXXSI88UwDeLNluX1jCKVxcY2WqI8r0ED0zTxul2ePH2Cqhq8evaWaBO3iV7pDmGebGOefzqn\nyAo6fg9N0Um2MevVHM1QOX38EMtxyNMcx5f2uKr+C1ke/HG9FFUSqJQWohdvNkLDsC3qeoCqq8yu\nV1y/vJabSlMJ5gHL+Yyr1+dYpks1UhhOJ/h9X+LZVLA7JmVeiywjjjAsnf54iD1wSbcpWRpLIIup\nolsqxUpmeabVDsazEtdz8PsewUJaK7/vMdgbMtgfUBblzod6x7aa36S8ffaG/aMa+54vbUlrk6rK\niqoQxbjjOaC0OZh1Rd3U2J5NpyuaJKAdRptkdbZbIlSVcN6qugQalHZRUlUFeV6QZzm6YWLZbiuH\nUfB6Pnun+1y+umCxmaHrJqYt2z11rRLH0c5GFS5lgdQdd3e03SzJSLeJOA/awbNQNHxok6JWtwvK\nqsA+9dF1s6VjaJi2CUpNVRcorWm8LCp0y8B0BO1dFRWDyVi2g5pGvE3YrkOKoqBpaiF9OBaDocwp\nt0uxDpm2bLJpWoKFqmJ79s4ov56tKMuS/nBMbySstfVNS+otxG2QbOI2lNiHpsGyJOWrAeIwxvUd\nTh7eJ97GBIsQw9Qp8xKtUSWi8bYQNL0nkEr19+R4yjJH3/k2y7wgmKcYjok/8H/ii05lKYSiUJUl\n2/WaON6QJFtM02F6sM/P/ukPcT2fF5+/FsyVafwEeBBnpFHMernEtGz6wxEKIvUo8pyqUqibGlVV\naDRVtvJZ/o2TfHzjDjbX93Dd7i6BSgtV4jDh6uwtm2DN/GIGtUJVNNiejdViWhzb4+T0HSzbxh/0\nhOhh6GwWIbql8/ijdwnmIfPzObeXZ8RRyGTvhOnhIdPTCd7QY7g3YnWz5OLFOZ2Oj6YYZO22SDd0\nPv2d75P824DpwX3Gewec7p22YR/Gboa0ullR5iWT0wnDyZjx+IjR3h6T4wlWW8nFm5imrhkejEi2\nCdcvr8jjDFVTSLIU4oY4sGkqsTaZjknTwHq2psxlW7terJhfXZFnJYYhy4Px4QhvIG6Dhobrlzfc\nvr1FQUHRhGUmFqQhq8UtL7/8km5vxP7xEacfPGJ5PWd5O29neoVUHA3E7WY43aa4XY/uqMf1m0uy\nOKM36WFYJklbOXf6Hv1igmZoPProCVmc8fwHAXEYoRsG0+kp6qGKbXdItgmLq4U8MIY+SRiTxhmG\nZaAqKnmTsbqZc/n6gjyTg3S8f0BZFJy/eIvX85meToWPFqckW5d0k/PFJ1/Rn/SFvqJAd9hlMJ4S\nBRHb5RalUfGHPrpl0J/2dno9TROjv2HqHD88xHEs4jQjihL27u+xXW354re/YHAwpDfu8dX3LqjT\nnD/7F34Rw7F49faSNMnJ04L1zYrF5YLh/oDepC/+5K6D2+2wmW8IFyGbzZLuqMfRw0NUVSNNMg4f\nHrF3b5/bN7eECw1N01FVjbIscBwP0+ywXG2JsxpUCdZxu65UhEHEJgioypL+cCTxlH3xS1eF6Cvj\nTcT8bEFzqHDw6IDV9YrlxUK0gN+g6xt3sFFDb9THMHUZGmd9GhrxOFbiJTVME9Mx2lg2o+XCq0wO\nDhhNB0z2h9xeLwiWIU3d0Ol3mJ7uYVoyC1MVDd2w6HQ9/KEIX6MwaofYMdv1BqXSUdWcKAyxXIf+\naEC9hCwRiYWYkxXSbcq22LYb3Jr+sEtv3ENpgEbFcX00Vd+x8O9Exk0rZi3SnDTOsD0Hq2OxDXUx\n1OcFWSzbLNrxh2QOiNG/KkrxWHY1HK9Df9JHMzWC1UqyWN0Opi1znDtWflVW5ElOuAwp0xJdMzAt\nqzXhixxgMJEw3jwrcDo2iqZSt0EznV4Hx3cEoX2pU2itTa3j7sSqZVHSIBtPx3PbjFCDJBYO3cG9\nI7yBL0Esy5DgNiBLOhKUPV+QRAm6JcJff+Bhtij1u6F304bECHvMQbcMkaQoivDUypoik7Zcb3Vm\nhmnSHw9F82VoNEAU3kmBJM3LsIwdp25xucR9JEE12wvBOxVZIZTi9mfveGZ5UZHlBZpr0xv3cYs2\nRUxVSLaJOAZa2VBTN3g9n+0yEl+z6+J0hJC73WxYXN0yOpjS8WQMoSpCp1F0QdTrmolh2hRFhV5V\nOF1ZhLi+xAiaiUlZ5aJn7HfxhzLKEHFxKoccKkWet5w70ehlcUZRfrNyRb9xB1uWZAz2hTChtBoj\nt+NTZgW6adDpSdCx1pJv66pmcTlDUVX2Tvd5/K0HPH56yr/8X/4NV68vUVWNftaXHIKW8NAfTLE7\nFg8+eEh/OgDg5vyaV59/jWHYuB1Ri6dJzDqY09eHmM4+Byf32OeUyfEUTdO4enklMMK6lrAPXefx\ntx4w3Bvw1acviMJoRym9eXNDso3QLZ3jxyeAwvpWhvqaoTE8GOJ4tjx1lxs2y43cILlGoRc7z+k2\n2LC8ntMb9Xn4raeSq9qxcbsd5le3/PD/+C6mYTM9OGT/4QHjozE3b27E3qRaOyuVjsPR6UO6ox6m\nbXH7VsKC9+8d7cKg73yGd+nzbtfdiX913cAwRffVn/axfXsHr7zbdOZt9WJZDuvljDCc8f4vvMfk\ncI//8M/+HVevL+Wm37iEyw3r1S1lke0OxdP3TqibhmgdS8J6FFNXoNCgqgY0yk76I3M4CZZ22rCV\nMi8pDR3DUulPevRGkl6/XUcsr5ZtmI7g3xVFYIzhPODi6wssy8AbdVnPA+YXc+Igwh91efDhg53R\nf7g3ZWtu+fKLN3R6HQb7A5yupJ+Nj8YUmSS8Ly+XnH913hJSursRyv7JKa4vBN6r1+e8+PwL7oVP\nODg9kYi8jg3XS0xbQp7TraTZK6rIavqTPqqq7tLMGiSKL40kdczrefQmPYJZQBzGIm9RRT2QJTnn\nX56Lxs/SWQezn+Jd/we/vnEHm6IobNfbnfK60/NQNZXZxQ2mbjA5HqMbOg3SHpZFyXB/JPkCtkGW\nFyyDDb2DEQ8/eMjyaiV+ySDGdExO3z8lnIctCcShripu385YXMzJswylUdE1HcNzqNAoipRtGLKa\nSTapooqX7844bTpSBeZpRpIknL+8YLuJKYuS7tDfpaffOSl0U285YxGr2QLdMHBcl2AeyPIgFvy0\nN/BJopj1fInryXZYzP4utneM7dgiZTF1aBTiIKbMKoaTCbbj0Jv0STZJm1sa78SYd4fW4b09RvtD\niqom2sQsr5byIGkZYIqqEC7EGD08GJNEEddnF5imhWU77N3fp8gyrs/fECcBj771zu61u6OfLDx0\nU6dIC5yeRZEn0Kis52u2QUjT1HQHAwzdQtMMjh6colsajuML2qmosBzRhXnDDlmcUBUibhUNmkYa\np6Rxiq5qPHn3PqZtcnk5QzU0vL5HGqeEi5A0StF0lf60D8jCRATNJYZt7iQ02/WWNE65PZ+hWwZq\ni0baLEI2yw3z83nL9YtY3FyTpin9/pgGUHWNbRDtkOSGaQiOSgHd1Ei3idiZ2vZY3n9GHMZomsGD\nd5/i+T0aII0zRoMuH/zSA2bzFc9evEVpJPYvWkek24RwuRZLlS2CY60N5qmKijhMdh7qu/+n7qhL\nd9QlXITEm5gsyuiNe7g9h228+ine9X/w6xt3sGmGGJxp2KFmFA3KtzmK5jA8GKLp+i5AuCxLxscT\nmT3REG4iirNr/EmfJz2PZ9VXhIuQZBPv6A7nX52xWW13nK6zZ29Z3c7FVN1UVE2F6ZooRo2qKxR5\nxmYVUuQZIBqg7qCP6ZgYlnx54+2WaJPx6qu3dOcBo4MhvUm/tWuJj1QzdFRdrC5ZKgem43awLJtw\nHgiFJM/x+j6D/SF5lhIFgs+pq7rdlnr0p32qshbAZd3QlKX4VPOavaMjHN+h0+vw9vM33J7d7tos\nRZEItzzLGO4PefzhI26v5uStw6Op67Y6k+yCm7eXFFnB8GBEFG559dnXdLwuo7093v32O1TkfP6D\n7xJHG04ePZDBdZwyPhzT6XekDW3lBHcLiLqExXJBGidt6ztBU4WCMr03pTvutoNsMe+rqsJgr09/\n2iNPcubnc6I6RtMFvHmXu2l5Bg8eH2PZJjfXcxRdxR96pFHCdrlhPQ8wbaO1nImHVxKg5GFa5iJc\nzRJpyVY3K8qi4v4H98VuVddELWk23kSEq4Dbm7c0lBjv2NiOy2a1EUdBVrD/YF/kGFmO0s7CFlcL\nltcLpid7+EP5POIwYj1bMdgb8OC9x8QtFikOY44mI779p97n65dvef5aKLlq0WLL45jF7QwVFdvp\nYLtSCFgdwcFvlpsWha63D8yMyfGYTs/b6diapqE36dHf73P55s1P9b7/g17fuIPN60v5fOfd1Nqq\n6OTJfWzXpiwqVtdrltdL3LbsvztgmqZhu9pw9eqKw4eHuF1nl91ZNxIuG4eCdXG7MtuINgGX589R\nFYPD+6cUWYmm64wPJ1gdGS6DGI0//973OHvxEs3U0HVDBrKl5CZousZwb7TLo+z05Qt08+p6FxYc\nBRFlVtAAZVYx3t+TLAZLsko1Uyech6iqgm5oDKbDVkaRyKZyNefqrJQEe0eWLHv3xENZpNKS5Wne\n0nUTVvM5QbBA1w1cv8NgPGI8HIu3My/4/He/Ik0y0iRr7UPmbqiuKArTk32SKCGcb2hQePTBu2yX\nG4L5iuc/fI436PAzP/+nUFWN9W2AYUo+p2EZlFnJ6nZFHMbkad7amnQwhDdnOx5N3WDZsvypylp+\nj6aQXdazJcFqga5buI5Hkm4pihzTcHA7HbyBT5EVRGGEP/BxXJsXL85RFMiLgqYouHp5jaoqeMMO\nt9eXFBE0HAtRWFE4fXzM/umUm6sFq9maIivpdF3GR+MWjNlw++aWIs9ZzRcoKDi+HCCqrtIoEnjd\nlOwoLmmU7qo/LdR2djbHc1B1SNMtedajabo4ni3BN2Ul+RR1xeL6hvV8RX805uL8hv/pN/8Zt7cz\nXr96TX80wu14Es2XZFiWg6bpmJaF5Qppd7A/kFlk1chDVFXJkpTVbEFVF2KJc0XiYXUsaZWvF/i9\n/k/1vv+DXt+4g40GbMeWcIlGUtl1XWcwGbU6nZpwKZyqwf5AynxDR/s9KvZwFrRAPgXTNnG7Ynyv\nKgk9sR0br9sR+mmSUlPidjz6kxFZlLUCSgOv6+P3ezv6x/z2LdtwJu2fosh8JpXEcb/bpTsUY7eu\n61RVRRLGzC/meANJYYqDLVGr0DdMA8froLe+zt6kh+kIFLJIpYJyux2p3FYx6+sFXz+bE4TCSHPd\ngtKH3qgnWQZVLaHnTbtkSDMUTcHtOSjIw8FyLfyBz+hoxPmzM+YXc7rDLqZlYrkCDzAss6VnlFiO\nTV01rK5XWI7F8HAEtUKRLdksN4DC6bunlHnJzZsbCTfW/R0tNms3qXmWt5tOhTJXqasGy3J2+req\nrKgqoVAUebGj5mZJSlKkbKoNaRaDUtMfjnE64tpo6mZnn7M7NstVsHNpZGnG8maB1++g6gp5loim\nLBVpQ1mWeP0O+/f2iKKU9WJNmsY4nos38IiDiG0g0YZ5JlIJVRUHhOXIdrMq6hbtXknq+tamSMs2\nDDrb+ZQl/ctEt4RMbLTkGatjt5SPXNrWstVTLlcMJmPSquSrl2dsgjVZmrZGd1k4VUWFado7WZBu\nSA6rSGpoK+a6zRmtqSqp9JoacSK0QeRplLJdb+mO/wtLqfrjds3OZgSzAG/osf9gT0gICK7mJ4ib\nirIohP9f1YJ40UXgqOkiZ8iTjNXNCtd3sTo2RVaIfWW95cHTE/qjHm9fXkKp8u5HH7dZAJJkVRYl\n88sFURhL6K8tCVXf+eU/wy/+0i/y+vkVWV5z+OiAIi9YXi/x+j5e6w+MgoizL98SLgLyVOQaVSkR\na+EqaLVjNg2idu+OujI7CaLWEC5WnmnHYXo04fHPTam3Kf/jb0Zc3tpMjvco05o4TAjmAXnWSlJ0\nDW/Qocjkxrr//iPcrttGGua7Vmt1s2J2eU2wXHH6/gm9YZ+bNzdkSU6ernap76K3q3cPmc18g9f3\nGe4PyWLZ0L794o1w5PJi5/k8fnpMdyxbOUVRCOYBNLL8yNqq0jBtLEcWH3em7HAZEgXCa/N6Ph/+\n8gdcvjjny9/9EtfvYDkOTQ3btuW7A6PeeVR1UyeLM5IoJVwFrGdzbi6ES1fmFa7bIZgFLbAyZLVc\nM5+vSbOMLE2YXZ/jeh6drkcwXxEuA9E6ug69eki83bK4vqE3HtIfiXMCRXBI27MVV+evcWyfTkeI\nzr9321pXNZ7vs398zN7pAf3pQOZ8ZS0yIEScDgqmZdGf9BkfTmnqms1qw3q2IgnT9nBq0A153d64\nx/HTYwGfbmLWsxUKCpbTzg3jDMd1mR4fYFiiOexP+ygou7lbp+9y/vz1T+mO/8+7vnEHm2Zo+CMf\nRUUY9m08XdqmmluOEHE7vY58IVS1nV9pGKZgmOqqJktzFCXbbfaKvGjDcyvmVzPC1ZqrtzOSOMNy\n7F361GQ6xDA0vvrxVwTLBaZj4HrSthpdH1M3qIqWC1ZUrQxCDrQ8ySnLUrZSlmQZRJuINEqkYtFU\n7I6Domg7b15TS8Bx07ADYSoohEsJ563qlJFh4tsu/emIXNXw/C5KV6U/buj3PDRN5fLsiqKNpWua\nlM1qg9NxGUyHrK5XxEHCZhW2/sMKRVGxOwKVTKNsV+klmxjHd/FHXbJIPvO7CDjd0NF1DVXVdpSK\num7IkpQoDCWu0HHYrDY0NKSRSAnqumY4GjCa9JndLFm1EYumdYfdVnehzrqhc3gqNrgqr9F0g8F0\ngD/oY1oW4XJDkYo/9Y7Y29RN650VblrTCKuvO+qJjaiumR4OMExT4g/LCq/nURQly9m69YIa6IaJ\n2s77DNOk0xUbm6ZpbMOAIs+hUeh0O4wOR+1nl2DaFl2nQ2/g0jQ6VaVh2PJdzOK0xTllJNsUEBtd\nnuRsgy1Vy9XL4pRwGVAXYOiWADxbuYiqaqho1JUQUbyBv8tuvetSiuwnJBw58JsdccW0Ldyu5I1K\nVS4RgmZjtogjheu3F3+k9/n/1+sbd7CNjkY8+ugRL3/8gufff8bkeA/bcQRR1BJcuyOfvdM9zPZL\nfbfxs11bCKaLcEePuEMZlWW5a7k+/d0fs57J/MZ2OnS6fouxMTi9f8Bk2uOLH3yXq7MrOl2f1JfK\n4/zZhWia8mJHHHV7Ery7WW2IgojlzRzDMnjy8VM6vQ7BMpA4uUrB7Xt0h0KvveNfFXnBZrnB9aW9\n6U99IkdasbfPXrL89zcsLuccP7iPNegyMiSoZHw05ujJESfTMU2Sc/HqDeE24vjpCVmck4TJTnKx\nuFxwe3ZNsFzS8T1UVHqDAYPJiNVVwOoywPakql3P1uw/3Ofk3VMunl2QRinD/aEkW2XyXpdXEpqs\n6Rr9aY+agos3czy/h9NpI91WIevbFaqm4g96HB7v8eHH7/CjHzyjbBO1mkZuPkWRltTxXYaTPvcf\nHrG6WfHv//knGI7J/fcftwcYlHlFVEXtplHH8RzKsiSeRcyvRLIwOZoyOZpiuyct3qnm6PEhWZLy\nw3/zAzRN4+DBEaqqsr6RtCuv22UyPULTddEBeg66qdMddYk3G77+8YIszukPp+zfO+L0/VO26y2b\n1QbP83ny3n1+4Zc/4vxixrNnb4R+UpSEs4BwGbBZh+38VW9dDkJZMR2ztQmmXL2+QlWFNDx7MyNa\nRnQnXdKtUHll828yOZ5gWAbLmyXJNuHsyzNQBBw5OpSRjSDFU+qqwujYLUpJOpq6DbDpDp2d3GUw\nGv9U7vf/3Osbd7AVecYX3/2UaB1LiK1r4/qiT4qCiHAuEWJ3dpk73ZSkwldt2pEqTDClZnZ1RV3W\n+N0B7qTP5GRC3chTzHIcLMtGN4yd5WW1DgnXIWla0tSwul2g6zqT4z10U7A0vzc1nZZ2q5v6TwJS\nUFqMUUiWxlS6KZvQPAa1oa4aXK/DYCLtjKoqre+y5OL5GVmcgQKTo31GRyPKAt589ZYsj6nLGmoR\ny2Zxxsuv3pJtYqxOh5HfkTkbYDoml6/PuD4/Q1csXL9DXVd4PZ/upCdZDnlOuFqRRgmdrlQmvXGP\nqpB0riiMyCLZErq+g+O7BOsll6/O6A/GdHyfZJOiKhrTo0PGBxPGR3tomiaE4IFHuAhYzWecvTqj\n47vkVYnbdQjnxa4q6U8HHD46II0ykjjl7NUVyTaWBQxiZxJHRIFh2HT6Hckg7UpbdXt2Q7gM2xmT\nUGy3QcjN+UYQ5J5HuNgADZPjvRbfvabT83BbKrGiKiJgbStR13d3FNpkm3Fw75g0yihT8czGQcQm\nWBOu56Spzc2lzauXE2a3S1bXK8qyaK1vBbquc/DwiM0yYHW7oioKFFVmeaLDnBNvYkyrff+6eHDr\n5i4DNma7CekOezJLvJ0Lc8+08AciMF/fromCiPn5vIVYhnh9j8PHh2zXW9azQLqO9nt6F/Qj0IiK\n3uRPlgcA/Oqv/ir/9J/+U6bTKZ9++ikAm82GX/mVX+H73/8+H3/8Mf/kn/wTPM8D4O/9vb/H3//7\nfx/DMPj1X/91fumXfuk/+bppkvD1Dz9nMJ6wf3KM63fo9DuMOiPCeUgeZ5i2gWGZu8AVf9jFsI0d\nY86wDDr9DnVTsvlqRZEWeL0+nb7khdZ1jevLLOWupFdV4WLdzlasbpYUGRi6zXYd0p/08QaSXlUV\n5e4Q2iw3EqbR4obsji0VRF6wXW4J5mvKIocGMlSS1YaivBO3iqxCUQRcaFgGeZJx/vysFX9OOLh3\nzOhwyPPvv+Ds2RuC9RxVUfC7I/yBT7gMuXpxRbSO2Lu/R6ffgUaoqZZrcfbyOZsw4Mm33qfbl1as\n0+vQHXWlNV+XpFlMGAQUWUV/MpQWqyiZnc+I1uLGSKKEquzj+C7bMODm8gLb7eB4nvhjTZ3Deyfs\nPdhvLU4FZVbQT/ucUfH26xe8eXVG0yabO56zg3QWWYHtWhzcP+Dy1SWz8zm3ZzMZgA89skja6tn1\nFUWe8eD9p3R8+e+6ngher99ckUYxk6MpnZ4HisLy5pbXXz3n6ME9TMtmcbnAtE1GB2OC2zXnz84w\nbBNf83eLF7d356mVz6/Tc+VzCGL2T0/IkozbN7dkacbqds02CNhu1ihbDVVTUAyTZCP8uzRJqKoS\n07QZH445eHgI1NxeXFPVFbqhbN3VVgAAIABJREFU4bWOl6uXV5Ikb8uBY9omeZK3IM6KLMskpMUc\nYjoGV29EWHvv6QOG+0PGx2PKvGwtgzPJbC1KeuMeB48OefXpq12GgmmZ9KZCiTGdfJeJ2um6f1hH\nxR/K9Yd2sP3lv/yX+St/5a/sYvwA/uE//Iecnp7ym7/5m/y1v/bX+Ef/6B/x1//6X+f29pZ/8A/+\nAf/iX/wLXr16xV/9q3+V733ve//J17Usm+F4ynBvxGCvL7OvUrY7pmPS35Ow2CIr0LSfHCZORyxJ\nRSZPyCiMKPMC3xui+DKQjcOYi2fnvP7qazZByPt/+kNst8d2JSG1juq02iudwXSC1++jKNBUCq8/\nfd1idqRSS+OI2dUlru+xf3LaDugzzLaltTs2vdFAkDtJTllUeH5P2p6Bv8s9zZOcdCtJ4VVZMpyK\nYr0uRTyKotCf9CjyA/QLlSjcEm0DtpsueTrZBfreHRhlIYjpLM4YTvcYTieoili6TFtSm25e39Cf\n9hkejDDs94k3MUVS7SCd/sDHdMxW31W2flAxWveHY+4/fkpTK0TBhu5IfLmmY7G+XbO4mEs0XJq2\nmJyavZMjRgfixzVaC5SqafSnA0aHQ8q85ItPvmC73pJnUonF25Avf/AVHa/LeHqA4ZygagqjgzEK\nAhCtqlr8qiPBo/dGguGOghjLdhmMpoz3p4wORruKZrvaYrkWj372Mek2ZXG5wDAlnFm39FbFL7dN\nHMYkYUw4DymSnO64y6OffdRiiWKG0ymm5bBdbjBNmyKXbA27Y6NqohNzPJeyzHn2vc/Yrrc0dS1t\nqLmhrqV6t1ybKNwQLOd4g1N6YwliuUs8UxUNvzegykWc2/F9/L7P6HBCVda8+vQ1RZrTn/TRTZ0y\nK1jPAqnof/iScB5gWgbdNoFNURTW8xWvvvxa8jucDs1dqf8Nuf7QDrZf/uVf5vXr1//RP/vkk0/4\nm3/zb2JZFr/6q7/K3/7bfxuA3/7t3+Yv/sW/yOnpKaenpzRNw2az+Y/Q5LurUfF7fbxeF8dzdkPR\nO4tPb9KXdXqSCctMVXF8SXC6o1topmwm8yTH7w1k++aJn252NiPextR1QRJF6IbcwIZhtFtVrWXO\nd3AaWlquKNLrqqaqK+qqJEm2rBYzRnUDx037HgtU7ScoctOy6PhdTDOjLEtUVcPpOAz2h3S6nV1K\nu27plLkkUw33RqRtq5TFmRBzVQXXc3E7PkVWUlQZSRSxummdCx0HVVdBEQ3d3TD97oCKgoikSHC7\nrtB96xYhrmmMj/agbshjCUfehhI5eBeaI8sXDZqGNM7QNYtub8g22FDXtQh/VWVHN4mCiHgbkUYx\nWZbi93327x3jdX00Q6csK/I4I08lG9Z0TMJlyPlXF+3Q38KamhSlQVFkZFlClgvy2nQsNF3fVch3\nyWB323DLFcKHbEw1eoOhqPGLjIaaqqjYBlu6+PT3BZJZRw3bcINuaPQmAxkvIDkBSS0Y9yzOyJMM\nwzbZsyXhXbaNHUzTRm10LNtiOOyRxILGstvFlm7qxNut+HPzAt00hYLSZhw0VU1TV5RlRrzdUNcS\n2C0aNPGberon4dFBTJbkOJ4jD/dCAKbLS9n+O56D5ZjkuobeklhmZ7Md9bc77krAUSRC6sXlHNvu\n4HTy/yhX+Jtw/ZHO2H7nd36Hd999F4B3332XTz75BJCD7b333tv93DvvvMMnn3zCn//zf/7/9hpx\nEO3CWcpCUCpNXRPOQ2zXZrA/IFyEhK0FSTNU+aX6rrSGpQxGhWZQMGxJDJZrEcwDFouQxx+8i9uz\nefnpC4J5wJOffQ+vJ5umIi/EGBzJnMv1XVzPoTfqcfnmnOW5JG83TY3r9BhOpoyPxjtWvYJCVVXE\nm2TXTvT3hnS6rsxe8pKmqiUS7yajO+rSn/Rbz2kjhvwgIlpv2axE91aVFWXLyDdtG8u1yZOEr3/0\nYw7v3UPbm0qik2NJzFqbPJSn8oVNNnG7wUuZHE84fnpCOA+5ennF8GDIcNpn/2DM4nrFZr1h0S4H\n4k1MkeXMr26xHBvX67Bdb4g3EZ2u2LzKrGS1WZNGKZ1eh/60dVtsbeJNjGVbbTarUHKLrCAOI27P\nrimKguvXly2EshbbmKWj6hqTw30G0yHnL97y8vMvxAfpOJw8foTf68nBq4pjYLvakkQpcSgV6/p2\njaKA4ztcvz0nfRazd3SE3T4og+Wa+e0VJ08fcPzOEZ998gOSWSyi3zRnHUa7g72qKkzbkNDpecBn\n//7HmLYEHJexkFYs1+b03gEf//y3ePXinM9+/Jz+pI9hGQSzANt1OXl8n2SbkmwSAYaaBosriYUs\ni5I8T2WTHGdsgxYEaugM9wc4vkt33OXt52+4eX1DkRXML245f/kK07LxfIkwrOuacBGSJfJAvJOb\nDPYG9Maiscxi0eWZlsX0+JA0kvwO909a0d//+oOc+r9f2vyPfvBv0NtYuYfvvMdwuE8SJ+iaVFbJ\nRtLZZVAsEoo77lW4CKjKevc0B8llNB1TuFy5+AKVRqVMG9KtyBw2rXBR01XS9udQRIoRhVuquqAo\nUhoqeuM+hqOJ/sjw0BSDZCup3NLumTsM9C76TFUxbHPn5YvaG960TTRdKijDNqlL0bLFYYyqaeiG\ngmZIKnm0iamLCsu16E36bIIVy9sc2xP7VJ5IVZFGCeEioCyKVkahkecp8SZCi3Wmp2P2jiakm1YD\nl+aEq4BwPqeqGvrTPsurJUEYkWwTiixvszpFA1UWBUWeo+l6+x51mQPF2a5S7XQ7bSp61rbi2U5E\nu1kKskfVNJSyYrPc0ulKotTd9yIOYqnOx33G+ynJdouha1i2CKvhLrgHasskS3KKJGe6PxKm2Tah\nrOR7oKpaa5YvsSyF4eGQ9QwuXy0koq9l56VRwmq2xDQs8rTE9R0s124rUpWqzKnrirquSZOImopu\nf4Df62J7DnbXIVhviLaJqP5V0VUalkFd19RVheu5dLpiz7rT4dmug2aobAOx7lmOidNx2r9TY1om\ndVWxnq0k6s93aRqIIzHYd4cCKNB0rT3YAgEyWObOq6uqavsay9YaKDPlxfyKV19/IUDKPznYfv/r\n29/+Nl988QU/93M/xxdffMG3v/1tAL7zne/wW7/1W7uf+/LLL3f/7v96/YX/9r+TGYUqqJpnP/iM\nYLHi+OEDtFjn6uXVrjK4Sz2qq5pkE7O4WMgMaygMKlVVsTsWdVlx8ewc0zbp7w24fXsrQsdGtptv\nP3vbxvaZO9W/YZkUec7t+Q2rxQ3L5TXv/txHPP7wPco8J9kkBLOQLMm5fH65w0iPj0aCW9ombWsq\n7YRu6hJgDASzgOH+kON3juVgWW7oDrugwNmXZ+Rpjj/0W+5Xl+fffy7ZC4Dv+EzvTfG3Pq7ns396\nxGBvQBanzC/mnH1+RrptD3/HwO25FK9TttsAXTdQ1YbRuM+yuyCYB1RlxcWrcz773e9y+vQBf+a/\n+QtUZU0wD9rNnkA+u8MuB48OWlSUSbyJKbOS/ri/iz6MW6vPww8fMjmZQNMwv1zw5rPXDA+GjA9H\nXL+6ItkmjI8nwpW7WTE5nnL4+JDV9YpgFrC4XBAFUjWND6acPL3HoOdj6ho3Nyuuz24lT7QSiYi0\n1SoPn0rMICosZwFpnDKYTBhMJkRrqYzufesejmezulmjNIJjNw0HpdG5enWB7Th0vC79aZ/+tN8m\nUcXkmWRVDA9GnL34mos3r3jvZ3+O7uiY0dGYJIz5d//qe2RJRt00gtJCdJeSp7pieDhi794e51+d\nE85D/KGP1+/gdjtcvnrLZh3Qn/SZnky4PbuVzFvXYnE55+LFGePDPfrjQYuCUkm2MX6/x+hotBPc\nzs6vKcuc6ckUy7Gpqqr1nkacv3jDaragriv8fp+Dw/t07AHxJuL03ft897f/5R/uAfH/4/VHerB9\n5zvf4Td+4zf4u3/37/Ibv/Eb/MIv/AIAP//zP8/f+Bt/g7dv3/Ly5Uthbf2n5mtAlmb4Q5/Z1TU3\nZxfopsH+6RGqqhEsVyxntwzGIyblvvgLW/SMYRlMTqdsliGzsxtQwPE7bFfb3dZrG4YE4QJDtXah\nKA3s8NZ2R7yoRZxRtGEcjz54xHLWRXum4dgeNGDZDgoaWSyECN3Ud61AEqU78a1uaGhtNGCZF9iu\njWnJzEuqNa2VDsQ7Fb1u6O1a3mipIa1BvTUuR+GW118+x3FdXL9DvIlbm5D83PGTY7I0I4synI4Q\ne0d7U7xuF8MyCcOA/+03/2fqXEfBkmEyKiom8Trj4tk5uqlz+v49jJfCuvN6Pv6wS1M3JNuYcBmI\nsFZVZfZY13SHXXkfRcns8pZos6Hjey1ZIuH27JaqqKQ1TBLc3immKXYqRVWI1kLuLcsStydEXgmI\nhnC+IbhcSTJXGBNtk91npelamxdRcnuzwM89nG4HK0rZLELWcUiep7hulzzLeP7pF5RZjd/3pc1/\ndUV/MsDxXFY3S9HUtdmeiqLsvK9Nc6fzUuiPpDLsjYfiB359zWa5YXG7wPVcvIFPuFqzvJ1h2S5Z\nnBAGK5yeLVvIUjymwWKFqsPocMT4YEKeZDS1Ipmliw2KIjIbf+Czf+8Aw7Koqqp1HugM98YoKlw8\nP0NT9Vbj2SfPU26vLqirBk3V0HVT/Lmuw+GDE5FGFRXhKpDxR9f7kzCXu+sv/aW/xL/+1/+axWLB\nyckJf+tv/S1+7dd+jV/5lV/hnXfe4eOPP+bv/J2/A8De3h6/9mu/xp/7c38O0zT5x//4H/++r5sn\nOYqmsLi54etPP+OjX/wOByenrG5WbMMbZlcXgnJW5WnttrBJ3ZSAkM0q4PrtFdOjPRzPYbMU9LOi\nKUTLDbPrC04ePWI06bNdbymLaif1sD1HkpS2CfEmwe7YPPzwEePlFCoD05HBsdPq6kzbBJp2aF1S\n5IWIiDVVjO+GpEahSJCJ47moukpVCYNNPIVpCyEUfPQd8wwE2RwFjWzbYHew3V6dc3D/mHvvSjBJ\nspFk796kx+l7p+RZTjBfU+WyJBhNpxiWgdfr8OWPfsC/+l9/i3v33+fkwVPKokJTdTyvT5k0vPns\nDQ8/esTho0OyKMMwTXrjLqZjCtViKYJTf9DdhZTcyWus3CKNUhaXN1znOaO9qVjg6kqCYs7nrNfX\nWL6J5Rp0PG83IljdrORzaKQd7k0k8zVciC94cTknXISSG+tY+H0P3dB2y5qsqbm6nLFNU7y+3KgS\n3jwjTkLuP/GpqpI3P3qB2/E4une/FdiGPP34KZbrQCWGcc3UAPEA38k+HE+iA5dXS3qDEf3RWFwe\ndcPF1xdsVxvqpsIfeLhdl5uLC1Y3S3qDofD6slgWIXGKooCqKWyDAKtjCKZ+MqSpJR9hdjYjS+V7\nZrQbdq/vs2kRVE0tS7P+uE+wWHP+9Vnbpnc5fveYPE948/VXxJsY2+5gWS4dz+fggVT3hm2wuJrz\n+rNXuF4Hf9CTpcw36FKab9C6Q1EU/vv/4depq4Y3z15w8fIND957ymhvSpG2ISVKSbYtyCORIXgD\nD8uxiLZbbs4uWc9WbNcbpoeH9McjmZvFCcvZXLA8us7J0/t0h30unl+IDssygJq6qTh6fILX93n2\n3S8oi5KHHzzG9TvQNCyvV2xWm7bKgXiT4PU9JicTlldLltdLSX1v7UdplBAsAglmGcoKP4tTVvM5\nhmky2pvIJjLY4vd9+pMB+/f3CFdrvvjdH+N1u4z2pswv5rL21zR0U0WzZHs6Opiwulm1CxcLTZeE\n8U0YsF7OGU328Lqy/RtPBnzw8TtcX13x/e/9EMf2MQyHNEpJo4Q0TtA0DcuxsT1HYuhma5I4RlFr\nyjonL1J6/RGe3yeLMuq6kbyGBvIsb6ssl9vzW8JFQN0GtUxP9lheLbl9c4NmKTi+zWh/D1XV5FBW\n2FV/WZxh2Jogmnr+ziscrSPidu4nDwaVwXT4f7L3Jj2ypFl63mPz6Oaze0x3vjlnDaqq5thsQWoR\n3Ih/gQLYi14JaELgWhv9Av4XAQIpCAK6BRJgs7u6MiuHm5l3vhHhs7sNbrOZFsfCkw2BC5Ioti5A\nA3KTyPTwCHf77PvOec/zML2adcfMmum9CSiwervkGKaUacngPKA39VEbnTwtOGy20Coyq+pa2K6M\nGxXHnNffvGG3XhEnUvo4u3fJ8vqG/JjSC4aoikaRlRR5RtPWPP1vPsTxHL76N7+lKiumlzPqqiY7\nyniXbmjMH5yjqgrhdo9hmjiui2bq0hDbhTi+zeWTKw6rAzfPb9F09eRd6I16BOOAzfWG11+/Ru+6\n9rTtiQmnaiqmK6WC3jDA6Tkco4SXX/1AkeUYpoXl2Ji2hWEY5NmR2+s36JrBaHKG47mCPPJt/tf/\n+X96b7qj79cyjHzB19dL2lrGPBS0U9TD6/m4gcfudsc6WgtVtqyJi4T9esfy7UKoFqpkiJq6FmlF\nx91SNUlrq5qKoimnp6Ht2RzDmHB94P7HD6SL6lkcFwnXz98yf3DO5ZNLNrcbwu2eKhfT9x294W7y\nwXRMWdi6yIjkuXLMzMLOC8qsIo0TjlGCoqQ0BVKML+WYqqqSIWspMS2Vqiwk25XltLRohobtOriB\n1LnyYyb/5LmMPBXCMNtvN+w2SwzNxtClzlKXFU1RMhgO+ehnP5NFNs25+eFaOrLtj9GN/XJ38mk2\ndUXVFByPIXG0x/ncp/+wT6RIzcrx5UbaLdfopoo/9HBchzKvOIYxhmUwOhvRNDI7ajkC6AzXgm1X\nNQ27QyZlsUbWNV6qoqKtpON4V/+8A0TWmRzN2y4cjaIAd1Z58U7QKng9j+nlGZPLiQziN/EJz6Pp\nOoYt+PkkjElDOd6WZcF2tcTvB3h+QLQ9kCZH6gxsV+aT27x7H1VNXddUZUHbgmHr5NucaCMPv96g\nz/hMaq6mZXY/Vzs5KdSO7ALKaa6zbbVuwsXG/vew4qt3K4JRgD/oYVpCy70LYo/mk9PsdJ4LBWR8\nNj9BJ42uGSeNopDbl+/oDfrMLi5xAylpNP/VUvW7vRavb7l9fY0/6HHx6D60iH1IoaNzCNPM7CYN\nyrwU5PKozzy7lHxbWeP1eqiaJh1GXeXe04esb295873IeIeTqZAqHp0TTAMOqwOKqlCkldA6goAi\nzVm+e0fTVniBz261Zrte0tRj+mORdNRVzYsvX6AgAlrDMqSQG2cUWYmhm6RRSpFm3UyqTdCX4G5V\n1rQNGIaJ47mYrkWapASDAf/tP/5DXn79mu/+6jnpMaHtzFXyHguSQ0yeZRyTI2UhWS6v12MwGaGo\nYjGv85Z4H9Eb9tgfQv7P//3/pj8bMX94idVzTmNp6THh3at3Qrbo92japoNqqpi2xSAYkh59NNVA\nV4UaMb6QjFhVVOy3axa3rzmmoQzfuw62Y+F4NqZjsVvucXsuH/3ex+xud+yWO8LdDlXTGE7HBJM+\ng1lfuqqWgaoJptsb+CeGngxw25h2hmmZ9Maym+mNfNn17mOp/WkqXs/H6/v0RhKAfv31a+H+xynR\nLmJ4NuLygyteffMDb569BFQsx2E0mzCsh+y3S7I4Z3u7YTAaM7s8p61l5Gp0MSLeSWc3DVMOXRA2\nS1PS3yRoqomuCHz0Lm+pFoLjHs6HTK8mfPPnX7N4vWA0nxAM++LL6Hhu8S5iGyaURcX6nUlbN2xX\nG5I4RBRcML0/JZgEDM9GHbyzYXu7JY2P7DZrNEPj6vF96kJhdbNF0cSMpioqdQ6D/py6rnn59Q88\n+uwDglGfm7c3f7M3/n/k9d4tbHF4EIa+7aLpQpOoqorDVkZCbNuhrptTyFR2FQ2qomHaNlUhhdm6\nqqgrnaZpURpoa7Adh/HFFNtyBXXTuSybusFyLCZXM5IwZLde4fo9sS8dU9JEcmBu4DG7N6c/HOEH\nPSzPPinPbM/GsAzSJCHPcqq8wTRNzh+dc0yOZEl6qge5PV+4YR07rG2kX1pkBbvlHnU+5OzeDPv1\nuhODiHTE6t5vXdYUeUmW5GLzckyqrCLPMqLDDtOxefjpE7aLDdHhgNt30UyTSlEoqpo8y0G908DJ\n6wejProuEx1VUVE3Dca/Z5X3+4H4ESyhq/RMYYuFm5C2henVDKXRKfMK25GdiWboMjda1qTNkezY\nols6vWGPYxKfgrZFnnPYHFB1jWAsXDDDMnB854RVF6WeFPObpiZLE4yjEJbvqMZiWlJ+RAU1Dfv1\njmOY4PdFf2g6Jk7P7VwJJWVRY5gywTK9N8WwNbaLNY7jYVomumFiGDa6J/TjJIxPXfMkPJJGR3TD\nwAYaGhzPwQ96Ha1FjGR3hfmqrIgPIrHZL3c0tVA/gnwgo1zdYH/TNCc/h+3ZWLaF23kcWuRvphv6\nqeMZbeUzaCrRD9JIHOYOEYUim9qqKtAMlfn9C3GWHkLKvCTchkKkfo+u925hK6ojP/0Hv8/uds/q\n9YrJ1Ri9VXn5bIWqqARPHpElOflBslQiUilOJqYsPXLYbQDwGtAMqWes3q4ZnQ/5xT94StHdvABp\nVwfz+h7zB3N+/WcvefP9C55++hmapqMo0v3TNI2rJw949OkTnJ4LDRw2B4o0FzJHz0UzNa5fvWS/\n3OG6AVcf3OeDX33AYR2yudmcvqyOb4s3sq5lbKcL84ab8NTFdQceVd1gWhaqanc3untaaHTDwHZc\nxldjHN+RGt9yxevvf+DJTz/i89//JX/+f/0b1otrhvmQ4WzIxZNL6qo+JdibqmZ3u6OtFR5/8pGY\n5d9u5GZAGP5t03LYHjh/fM5Hv/qY7c2O/WJ/OvYtXy+wXItf/P7f5bAOTyRduoVGhrVlvvH2zTs+\n+1s/5eyRdLSzY4aqaWxuNsT7kKun9xnORxS5lB5oJEvYNi1xGKOqClcf3iNNY178+dcEe/ElNE0r\nNveeKzexqpImKUmYsF2syNIjg9mA8yfnDOYDDqsDr795Q1MpzM7PJcZxNuLy6SWOZ7N5u8MNJHN2\nF2MZX445RgnPf/MOr9+jNwhI9jFFVuAGInxWdZVg2MMf9kgOyQniKFBRm2gXs3y7It4l1FXN7et3\nhLs9Z8U9DEtymk7PxRvILKzjO1x+cEm8i1BVYbrdlTmKXL4vu8WWzWLD/N4Z4/MJvVGPqiiFuhyn\nnZ9XoakrDrs17sDls48/RzcsNtcbsiTj9sUt/sD/G7vn/1Ou925hG83mrN+sOYZSJI62MW1bYxr2\nSVqiGwaD+QCro4VGu1DqSusFru9z/uAKw7CwPZfhfCBH0kNCekx48fUzJudz+qMhzQl5xImfP57N\n0HUDvx+gKAr3nj7E9UVhF+4O5GmG7YhIpMwlBDuYD8mPOdE2Egv4XMfQu3R6WZNGR8KNuAsUFCED\n056UeIqqEO33FKXF1dP7uIFLtIsp8gLLsWhq+e+inQRbxTWpYpg6aXikSHMU6KYnFDxfsNme7zMY\nT6jymvX1mnB3wLBM0RfaJlbPYng2pEgLQOkG3mMxT7kdEt028cc+XuBJw6B7v+G6m77oeZi2QZYU\naJqGP/SpS6ltul3dxzBF60fbYtpC5TVtk+yYsl9tZTjbtlle37BeXKNpFrbj4Pp+F8VRhN/WKRdV\nA8azObouXWpVFZpx3ZFz0/iIG3iM5mOqskAL5QGVp0UXKxGdXpWV5GnBMUk4HmPKsiTeRxx2G7yB\nQzDugXIHOZV6qERVvBNm6W7hFg+uzJzCHcW4wAukg16VldA9VjuqvMKync4632d2b0Z2zGVKwbM7\nT4aInrMkw+25PP3ZU959/47t7Y6dtqNVWsLtXkoxroNpmd0ss4GiqICC5dlMLyesrpdsbkIM08bQ\nHQ6rCNqI3WqHYRhY7o9+3vfleu8Wtun8nFdfiVhCN3WSfSxPZEeQ02mcEUxMBrOBPLnSnDQ5slnc\ncnP9A48//pSLR/eoSjFkz+7PMG2TZJ/w3W++5tmvv8K0LEazCSpCX9W7nUmZlUwvzmXUJE5lcL0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shtxSBVN5RZ2REgaqq6oqwyNKOPEzinBVWIJQXh9sDl00sefPaQ6++vWb1dYdkm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\nyU++KMd5zWte82u9/pJLLuGWW24ZPf6DP/gDPv3pT78oY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} ], "prompt_number": 2 }, { "cell_type": "code", "collapsed": false, "input": [ "# The inverse normal CDF\n", "import scipy.stats\n", "inv_n_cdf = scipy.stats.norm().ppf\n", "# Bonferroni threshold for this image\n", "bonf_thresh = inv_n_cdf(1 - (alpha / n_voxels))\n", "bonf_thresh" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 3, "text": [ "4.5227713755927113" ] } ], "prompt_number": 3 }, { "cell_type": "code", "collapsed": false, "input": [ "# Divide into FWHM chunks and fill square from mean value\n", "sqmean_img = test_img.copy()\n", "tarr = np.ones((s_fwhm, s_fwhm)) * s_fwhm # mutliply up to unit variance\n", "for i in range(0, shape[0], s_fwhm):\n", " i_slice = slice(i, i+s_fwhm)\n", " for j in range(0, shape[1], s_fwhm):\n", " j_slice = slice(j, j+s_fwhm)\n", " vals = sqmean_img[i_slice, j_slice]\n", " sqmean_img[i_slice, j_slice] = tarr * vals.mean()\n", "plt.figure()\n", "plt.imshow(sqmean_img)\n", "plt.set_cmap('bone')\n", "# axis xy\n", "plt.xlabel('Pixel position in X')\n", "plt.ylabel('Pixel position in Y')\n", "plt.title('Taking means over %s by % elements from image 1' % (s_fwhm, s_fwhm))" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 4, "text": [ "" ] }, { "output_type": "display_data", "png": 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P6N69O/Lz85Geng4ASE9PR15eXohHxxhjTY+/dtoAu92O2267DXPnzoXVaj3n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\n7XTB43LB6xFrCIrfD8UHyJqwPDSFvbC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} ], "prompt_number": 4 }, { "cell_type": "code", "collapsed": false, "input": [ "# smooth random number image\n", "import scipy.ndimage as spn\n", "sd = s_fwhm / np.sqrt(8.*np.log(2)) # sigma for this FWHM\n", "stest_img = spn.filters.gaussian_filter(test_img, sd, mode='wrap')\n", "\n", "# Restore smoothed image to unit variance - this code is tough\n", "# 2d Gaussian kernel\n", "half_dims = [s // 2 for s in shape]\n", "assert np.all(half_dims == np.divide(shape, 2.0)) # check divisible by 2\n", "y_inds = range(-half_dims[1], half_dims[1]+1)\n", "x_inds = range(-half_dims[0], half_dims[0]+1)\n", "[x,y] = np.meshgrid(y_inds, x_inds)\n", "gf = np.exp(-(x*x + y*y) / (2*sd*sd))\n", "gf = gf/np.sum(gf)\n", "# expectation of variance for this kernel\n", "AG = np.fft.fft2(gf)\n", "Pag = AG * np.conj(AG) # Power of the noise\n", "COV = np.real(np.fft.ifft2(Pag))\n", "svar = COV[0, 0]\n", "\n", "# smoothed image to unit variance\n", "scf = np.sqrt(1 / svar)\n", "stest_img = stest_img * scf\n", "\n", "# display smoothed image\n", "plt.figure()\n", "plt.imshow(stest_img)\n", "plt.set_cmap('bone')\n", "# axis xy\n", "plt.xlabel('Pixel position in X')\n", "plt.ylabel('Pixel position in Y')\n", "plt.title('Image 1 - smoothed with Gaussian kernel of FWHM %s by %s pixels' %\n", " (s_fwhm, s_fwhm))" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 5, "text": [ "" ] }, { "output_type": "display_data", "png": 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GdQQg6cx+tmXDSxtI1oN8+9vfxkknnYSqqnDqqaf2m7E1YdIkFGWYcgpUTKAe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q36XgWSwo25oqv610jIdaWUl77f/LkAuEiNIrA9eaqcIwbZWIy70Ep/sRXhmhERBgi41WpiAWCM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AnK740EMP/enfBWJfYO27/sCFV5IkvPzyyxg7diy2bt2Kp5566p7ngNxpMe/SpQsAQJZl6Lr+\np8exz+XweDxobm5u9RrDMDB//nxs3boVhYWFKCwsxLx58+5JXoHgfiAsEsH/Sy5duoTVq1ejtrYW\npaWlqKmpQffu3dGrVy/s2LEDhBCoquroANsWhBBs374dfr8fX3/9NZKSkuDxeDBx4kSUlJRA13V8\n+eWXSEtLg8vlwoULF9C7d28sWbIEsbGxPHbC6NmzJ65fv+44PuPZZ5/Fli1bYBgGioqKMGnSpPt7\nUQLYuHEj+vbti+HDh2P16tVYvnx50KZvCgR2hCIRhIS2ZkdIksSfnzt3LlatWoVu3bph8+bNmDt3\nLvx+P9avX4/9+/cjMTERXq8XR44c+dNjPvHEE0hOTkZJSQlWrFgBAJg5cyYiIyORnJyMiooKHrco\nKChAQkICUlJSEBsbi7S0NMexhwwZAp/Px4PtdpkXLVqEy5cvw+v14tq1a3j11VfblO1OczPu9prA\nnxsaGvDBBx/wdN/u3bsjNzcXr7/+epvHFgg6EpH+K/hLM2rUKKxatQpJSUmhFkUg+MsiLBKBQCAQ\ntAthkQgEAoGgXQiLRCAQCATtQigSgUAgELQLoUgEAoFA0C6EIhEIBAJBuxCKRCAQCATtQigSgUAg\nELSL/wU/VzZdvRXP/QAAAABJRU5ErkJggg==\n" } ], "prompt_number": 5 }, { "cell_type": "code", "collapsed": false, "input": [ "# No of resels\n", "resels = np.prod(np.divide(shape, s_fwhm))\n", "resels" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 6, "text": [ "256" ] } ], "prompt_number": 6 }, { "cell_type": "markdown", "metadata": {}, "source": [ "We make a function to show the thresholded image:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "def show_threshed(img, th):\n", " thimg = (img > th)\n", " plt.figure()\n", " plt.imshow(thimg)\n", " plt.set_cmap('bone')\n", " # axis xy\n", " plt.xlabel('Pixel position in X')\n", " plt.ylabel('Pixel position in Y')\n", " plt.title('Smoothed image thresholded at Z > %s' % th)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 7 }, { "cell_type": "code", "collapsed": false, "input": [ "# threshold at 2.75 and display\n", "show_threshed(stest_img, 2.75)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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8kJycDJlMBgCQyWRQKpUv3QZjrAUgLa5fv04BAQFkbW1NPXv2JH9/f8rMzNS2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\nCg4fxpgo/h9Cy7G3lvSyPgAAAABJRU5ErkJggg==\n" } ], "prompt_number": 8 }, { "cell_type": "code", "collapsed": false, "input": [ "# threshold at 3.5 and display\n", "show_threshed(stest_img, 3.5)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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9ezaio6Px8ssv46OPPsLy5ctr3QgRUZU9Gx8fHxw+fBgWFha4ffs2wsLC8NNP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\nIlX8PykjUfvAhpGyAAAAAElFTkSuQmCC\n" } ], "prompt_number": 9 }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can predict the Euler characteristic from the smoothness:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# expected EC at various Z thresholds, for two dimensions\n", "plt.figure()\n", "Z = np.arange(0, 5, 0.01)\n", "expEC = (resels* (4 * np.log(2)) * ((2*np.pi)**(-3./2)) * Z) * np.exp((Z ** 2)*(-0.5))\n", "plt.plot(Z, expEC)\n", "plt.xlabel('Z score threshold')\n", "plt.ylabel('Expected EC for thresholded image')\n", "plt.title('Expected EC for smoothed image with %s resels' % resels)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 10, "text": [ "" ] }, { "output_type": "display_data", "png": 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QNv3U1FRYW1vzt1u0aIHU1NTap9Mwf/wB2NpqX8EHAFdXrm1/+3ahkxBCakvu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\nBw4cUGrPHUU7fx7o2lXoFKS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} ], "prompt_number": 10 }, { "cell_type": "markdown", "metadata": {}, "source": [ "How accurate is this? We can do a simulation:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# simulation to test the RFT threshold.\n", "# find approx threshold from the vector above\n", "tmp = (Z > 3) & (expEC<=alpha)\n", "alphaTH = Z[tmp][0]\n", "repeats = 1000\n", "falsepos = np.zeros((repeats,))\n", "maxes = np.zeros((repeats,))\n", "edgepix = s_fwhm # to add edges to image - see below\n", "big_size = [s + edgepix * 2 for s in shape]\n", "i_slice = slice(edgepix + 1, shape[0] + edgepix + 1)\n", "j_slice = slice(edgepix + 1, shape[1] + edgepix + 1)\n", "for i in range(repeats):\n", " timg = np.random.standard_normal(size=big_size) # gives extra edges to throw away\n", " stimg = spn.filters.gaussian_filter(timg, sd, mode='wrap')\n", " # throw away edges to avoid artefactually high values\n", " # at image edges generated by the smoothing\n", " stimg = stimg[i_slice, j_slice]\n", " # Reset variance using scale factor from calculation above\n", " stimg *= scf\n", " falsepos[i] = np.any(stimg >= alphaTH)\n", " maxes[i] = stimg.max()\n", "print('False positive rate in simulation was %s (%s expected)' %\n", " (sum(falsepos) / float(repeats), alpha))" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "False positive rate in simulation was 0.04 (0.05 expected)\n" ] } ], "prompt_number": 11 } ], "metadata": {} } ] }