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@hyperaeolian
Last active August 29, 2015 14:03
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{
"metadata": {
"name": "",
"signature": "sha256:b8e70d9a256d2060454794bfe3f37f605fa2a8e4fd24baf1cf74b5d021b1a3aa"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Sound Source Separation via Nonnegative Matrix Factorization"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"<a href='http://en.wikipedia.org/wiki/Non-negative_matrix_factorization'>Nonnegative matrix factorization</a> is an unsupervised iterative algorithm that minimizes some distance between matrix X and its products W and H. When input X is the magnitude spectrum of a musical signal, we can decompose the signal into separate note events, making NMF usefull in separating sources in a polyphonic music signal. The output W represents the spectra of note events where H represents the temporal envelopes of those note events in W."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from IPython.display import Audio\n",
"from essentia.standard import *\n",
"\n",
"rcParams['figure.figsize'] = (16,4)\n",
"\n",
"song = MonoLoader(filename='drums.wav')()\n",
"SR = 44100\n",
"#Audio(song, rate=SR)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 1
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"plot(song)\n",
"title('Original Sample')\n",
"ylim((-1.0,1.1))"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 2,
"text": [
"(-1.0, 1.1)"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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uO9lSECJIxjaZE9S2ef9+4NprZUsRLJL5OUxGyMAlAk1WFgvUQRBhY+VKoEUL2VIQRHLy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\n",
"text": [
"<matplotlib.figure.Figure at 0x104c8a190>"
]
}
],
"prompt_number": 2
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Drum Sample's Spectrogram"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import librosa\n",
"S = librosa.stft(song, n_fft=2048, hop_length=1024)\n",
"logS = librosa.logamplitude(S)\n",
"librosa.display.specshow(logS, sr=SR, hop_length=1024, x_axis='time', y_axis='linear')\n",
"colorbar()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 3,
"text": [
"<matplotlib.colorbar.Colorbar instance at 0x10c02d680>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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1bciCPP45q5H7kQ+ZbhqcIEPrmd9Iv2Da8q5Wu04iwg0RSQzJIvA3l5P9niua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\nA1pjL/7QiwPMygBpnjgq4c9o/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oMH3QDff//99rnPfc42NjbsYx/7mF28eNEymYx98IMf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\nSbG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Q8ozqLesdZBO952iIwW/yMq5bvw2bdpyV4DphozFvLW8k8N6bpMffewQOjipo7/hR\nOCA/9B6X/CgoHidccGGtlQBlS9Cmfldlu3weDpKcER3PfBPz7963YxOOLjgnaKsfjl6SiR5BmJZ5\nz3lWjZToMDO7fAnvcvduvF858fkyvr9edIx4SsSka3gvCmDzWvclOr0LfxKeo8p+fplQDDoHurfU\nLJq0VzucgG2URAfqB1W2u49QucuXWE3ykpFyfiIegYJ/iD01m3bVbwW5BfZRKjhQH2L4DO3uXap/\nI8YKX5IyD8qkS+TVZ6SM8ZyA9Mw5Ok5BgwEhE3Yrmy6b39aGz7z6Ct6DEluazyfvAyRbgY+Zx1rK\nKq71M6G0hMr8TO9PhZ/tqSEpdLWs+YxxK5A5UsQxJ9/iCI8UgHelYKuXN3BPk9eI5mBPkx80CK6t\nvicFgKqGioUz6kG/4ktw3it96J/ujXDPixHemWDfiuccVuPYQxuckzXRZwuCy760+ui7wnOUeN2Y\nJ/SaDnIkSpIsBr29HpnBBtd5e0r9tPih/jpVjf01FsIdGXxUqlj/gsVOTrlEiQhatK8nuT4CBl0i\nkPBJciavYP68/MyEmZntOYR3ql5Tjb1/TpMVktQWodmEW4YBrmy3h65oeNTsZmbjZYz5MK8btGO9\ntkgehNpg1D7jPJ6bJQlXEfdx3/udnVEAnuA8Dn2hPlTBA5J++azNMe4nm2ncg95heB+Muvs9iRgF\n/qU45vrcBsZ4uxi6r3l4nX3Ieg5dQ1Ie5150e0U/NSenCQPuZbC1UMaYitxmftUXb2Y1lQG4SF+S\nmqtNVs683sL4Cvy6xj4wXocoKs5FITF2RD1oeWwHf/4NzcW3wvH/Ucm6/45ddv8drgr78f/j0Za/\n33HHHXbhwgWbmJiwgYEB++xnP2uf/vSn/95v8Q0TZMU2roZN4cVlT1xPVO2qYK0igx27RpIJQvGa\nRx2OO0ZIYd8WjF9klpAZZsoSs6xG+XTcZEsT93VoNIgtlgtf77k/PEel8EBNy4W9rdcNIXRu4XTQ\n+WykJYyMhRh77Y/w/53Ihsa2XGY2I2dAugkZGIJ5NhV2sjoS0jWb2TwNZH0HHKjYNTgaEcJHxPpz\nMyY/GW9tfur16enGO/Dx/NUmVeknAcVURmsjhWx0xpwzlGrAUa4ameIID1RfhRyARpvD18s4hWLK\nLME32jHWB/LIFl6acY7GWB8+I3a8egobTe86Kxc1bII+XLCQIrMWGbq3KPhsE4RddGBjUJXUzFVP\nKiVmvae/hM+QfGD3JuZzs+yM7QCHuxHB9afnsbmqqndjUgLTHivfHBmhCKdtkpUtPJcMb35vhnq6\nStI2I0vWFh0cfdaHzMrZ3qjjJnMkwNhYwjltJUdJqyy7WMZcnws2i9bWZhwzC63NxYJi6F4uvYp1\nsuuAy0r/9efRPynR2fhVUgQzKZFYZR9nzW3YiU44A4IhCVKiqsirL71eXyhHGvk0yR3KZbwHseOp\n+hZ42e8B6mBdocP/Eh2oI3eM4V7FbprxKszsMRQ0M6ycE1q6Wcdn/bUsFk5RnMvBUMDk25cm9fdy\nbZgrUxSjtnkIsq6/9GdmZtZ28KHwnMSF/4x/VOgQscoVVX8oew38imqUEhdpMm1VExi/FTavy3ks\ne1Vv0VYnZkBMFORIFJGFYz5BksRS0QVhgnpuEWqo5Id6tfQOfYiR5qICcEHXFNytsmodTziboTUk\nKYgUK+MKWlc6kCxY8TR2FMDKKVRAqUrH8gLmUNojjPnmX2G+/vjPwhm180A9qGLe1fBg4k06nd0M\nmCut/Q2q/Cpjb+aqql37MH8knKvkgAInaXyZOYdZSbpvfBH3ePTNWHNhD64nPF7tAexcAa3WvRKO\nImBYKTvntzNOZs0mPrvFZIFghCY6ey9oUPKkj8RG41dx/R4yEAeEiweeGH1bgn1UDXx3fguJMgVV\nIYzfg+RrHcqmJ8nsJua+2esOJZBJY3+MpkhWkwPV/rrYE2lvLp11AcbgDpxz6ATmnOz93A0EBOoP\nrXh9TxKwDfu1rZWZWEkrv387lNDgexgh9HplncE3mUhjXntFhOt7jOQo587iPakPVSRNfYMumaSk\nl/rqdh1lkmKJ7Q/cw2OrDi1Q6yZTL/2HnTtZYSS9/NULtIEbLqhQgqI0TDucbA3MNTeXPFiq/Iir\nl3CP86lWOKwPe6xnWYFNYb+MVInaIPmXevJ8gWzJfMh3U4AeqWAupvm+Gjt/JDwn9vy/xc8hJqq4\nX0kvSzbLT/yEUPt4a+B8Sx3fBbtgPB633//937cHH3zQGo2GfehDH/p7J70wewMFWRaJWq1AqMya\n17BMpzoywYZtaVB1M3PJ7F7oKJiZMUASS2HYpE/WF+tk9LzpNqf4FKNosuKEGYcSspHBGpx5X7w1\nmIPjEgwiux4Rnp73FLlCkgsPzhMUERyodC5IjjGYi1wAbDDwiCoSy/geEXlsGq539QKep5NZXimm\nm5n1cVONL8Kh2VyF45QZQ39AjDCVwKMZleOnCl+WC16aG1FBZ7x9QL0LtQHS47OymCGJhR/EbTLD\nI8dJULnj92DTUJa6Bb8cxzNpjHW9GAPyGrVksnW3VBQgtzHwEwzSPSgMsi+UO1eGYVfvzQKd013q\nU6GTGl90NLYBKa5DEgM6jTIs2hx9/LscsGiVMJQcNokcN7hlQoAksmpmZv3skeD7ySdJN56iBtY6\nXkhX1m3qas5WNlKbUZitjHFT8SjcE1fggCd3gFY2WsY8GIpyA6i6Km4kaG2WV8ZSlT/jZr4ccedI\na0aZxStXcM4ItcMOnsBnr4+7dbnrAJ55ZZG9dychLBt7/vfNzKx+7MO4pgcX1DxdXsH35BmwCt4l\nB8d3nLTRKzATjbX6LBqEhPmBrNjYJM79pg7YCvXThe+67sa4nqM94xyPU1hcUKYc6aUbEQ+WGsF8\n7u7EvFpa5QJcIKQw7xxMU5DLCrMgmSJyaNuByklzxom3R4dpAxi42hQc/2iVbKOq3nvO70YazyqI\nb6GTPVIMgtSL9cq4ey+DQ7jPoEzyCq6/NEkaRpmBqDZcgCl67xh7Iq9N4J11dpGmmz1OyfVz4TkR\nwhrj/LmQwzrsraDXs5PQnWjVwXm0tlRhDCGeRB60zyNh1+x5b3jOPJ9dz3zhVVS09h7EO+gfxfc+\n/Zi7t0PHx/CMdBJTOWrrvQb2V4nFm7l+06k59de1Vhx27CfJkDcntU7mNhFY9vXg3iZJaiAHV8kX\nM6dFJjHaE/choXSdTurBY4LoXw3Pia9xnnKPaFJUO0ptHyMRUjFwTvZWCg5SW2usGFYjhABRJd3M\nBbkaA61LoS5WC9jPVpdd0JDL5lqu204irCaFjRNMSrRAv2nPVuusBMcxphNkchUroJnZa6wgjhzD\n/XZtoqreNgwInUiHfM0rvaNiL/ZlEV/oM5LfEBsonhG2QbIomqP1hNPqMzNLrTjx5o0c1nCmTjY+\nMi0Wogwo2a/uU7graXP+HNbLIJNHquK35be9MHNwOiVTgjR8k8gq/A0hZprdLjEnhMmlZcwvvUsl\nlEIxbI/0qUBCkr/4KtbafQ/ge//4PyJRfs8PAYkzusv5WNPsuRVxiwiWpLkY9kOaWYzJNM3jGhlH\nBzPsOWYwGi076OfEKsZ0sJ8MhzUmh+sYi9IWq1an/014jmVFqMOe2bEfw3/JLq0CQ91vcWBSKGoN\nc5CkW+z4LnWyHnroIXvooYe+8we/iyMSBDdrA/yv64hEIvb/svem4ZZlZ3nYt8883nPnea65u6ur\nq4dSt3pQC9EaEBAJ2RhjDETBgWCIE0eIx3kS53EIMSEOj6M8YEhCHscEbFBMsAALuSWrQUNr6G61\nurumrulW1b1Vdx7OHc+48+N937XWqW4FYmPSldb+U3XvPXufvdde61vf8H7v27j9Nd9ndRAI8ghC\nwIAptUHnQMxAipQ3guoX6ckluKs+odS1f4G/qy8hIKRw+FlVoeqd4sTtcRjzxH4AmVLFjaxI9dUr\nHeekMmyev+cv+V+KHpksNqJPdhT1EnENsPmOBpMQSfU/bSTwnGLeCitMYlSTk5W78Kv4gypCY57B\nzx0k8KhTlHRXFW1OQX1Pf6BJUtoGrFIVxuYonGC9yzDIUoOwMnGqbMjIOwX1ekBJzXOapNt1jFCE\nobhsZDBnDrjZuZ+Zve2qX+y4Ruj81gYRrKkXq6fEzNlNwgNXYTijyafcOaqeqKomR9b1BDFY3Uh6\nlilpnNzc6GQMEzHFez6Iz4Z9b2M7gMyq92athIBTQUMugU29FnvHSVWbuauY12KKEuTzkdPcHAN2\nO1UjtQG37tDlarS98yvqWUHKmqR0F+Qrfe2fm5nZ9tQPuXNEu/snz2KunHwEQWk/NUle/SYyqGGF\nqdKD+1tZxLt6OIPrurXLd9Du91AW9SOIBEDvX438jjik6U3rTD/Wu+bTjQY2bwWEn/ldODLvfMZn\n0np779DuYWLjS/8K8+wDH4HD07f9nDvH2bMxJCVcBVDQH87resbbJjWkiypYGlH5A2aPA/Fu9cgQ\nfeRsQu4yJRyUaQ7msS0QJqi1RdmH5sMfxzUJZXFEP+bZJNvsMRXpiqBnu+yVkESBmV/njmGVyZud\nHsznTJo9UwHr29IW4WF3NEHrXUqE9OSUd5yUAXa0yHVUC6p92EMEORNBRvidSno54qMDONBGkddG\nv9c83Gng/X/ps3gPj38nzlGF/jK1qToqpgz4FZj1XvwH+IOSasG+0xghYQbnxHIV60RQv2++gGBh\n4pCvMCgJcCjP9cnE3PUqnWBV24K5L8puicJrbDOSDmAAIHpzM7OkepPLFJBlwCxIodZgmPzYiTqh\nXtJWU5VA8GetCTM/n7Uv7zUwbt3Ln8JzsDoSEt8I2vmZz+LfDz7AhJwYhK8AKtuc+i53jrdfeEZV\nwSTZIPigmYfrvvYSxv+Zk1gXTe4DcxSpDQlJbl3HXJDMQ4H/aqzVvxmeM9nFPY0VxNUmxqK3iHFL\nyxcKIJnrBVSfu1udvojGR3uS5oWZ11SrVjuZdUucq6rYri37demgv5xQM1nuj/PQl5Oeacgud+EA\n70rsuFrbqmReZwJFQZGZD/gkjF4nGczCMu5J+2c4bhskGRkn9P7KRYzjMYoTa76bmWUYTKsCqAS2\n1kk28j6CDtmKl85zbrDl49EzZJlcx73GF37XnyRhYvl/sr9KyKqqH8z9Bkl4NDeLxYLdTeFAFEXW\neuEf/Jk/n3z4Y/+fPN/bppLVLB91xASCRZl5+IFgYyKM8NUpZsqKHpKjDMB2Coa/kGJWghNdDkIo\nrtjuxqaQEoGCqjaq4qyySTofZJFYsbJxGO+MCC6kRSUDsxsEZqII7UJ2Spk6QX7idlAm0uMwO61e\ngvWtTnppZWjCjOY3vozrfeh+wJPq1+EsZO79SOc9yukys/okyttypsvGjB+DugxhS65R2cyazN6n\nyeAoA6QstYMvmFk1OY3rqXGUdLXCYheZMYvzvu9FemGpm5/puG/Rr293w0HLJbwxzK38iYVHRvSr\n3KyiVWxOtaM/anceCk6iIudMgRT+zKQ3874qlWCjq6OpZdZLTa4OOlP2y3itSqbDZiej4v2PIvAU\nnKcZiLgKR98U21vcyTIYp/D+lxZ986+otG9cxr2peuMalVV9i4IsJSG5zbKqrZxX3Ahye36uKMOn\npEdMNjM5/GujqIZVWl4od3Eb8+jBx9hoTT0kOV2vvYBMp+aDmdmhe+6oQiYZAFwAkUNqDGsidLIE\nC+vKYE587vcRwH7g+xA4/V+/hZ6/0+/0eHAdChor1DG6cglB8TMfuv8Nn1WVcJYkI4J6vvdDbDoX\n5C/pg1/LM2Dhel9oI2gbYaZZbFNhM3uKmWz5xWL0K62RIKDtwZkHs+rpwYfPUlT11O3nzMystk1N\nrzDBJPsk9sAKhdiZeVZ1crfHJ2Zu3iBD4yqc6Ouvo1J++gnMVVVbQmpl51Cy76lJqKn0kva49vI5\nX5HfWIP9EHxWdM/Sz/mj/xNJntM/7udxnbpIqtLuDjyDZ67NmZnZdgzb1FULoHmc60qilfrp4KSx\nlg/I6Jpre/jzP/pFOJQf/VtILCnQlHP6tecQbBeKPpFx5F6iBSbJ/rdFLT05X4d9P9LWAcahQtF0\nBVeyUSfuxzu8ed1XZOXEW6ET/kiJOrvF3qJbc/45BFXL57XuvkW/S+hwMuGjCoACWyVkVBkKg6wy\n9+GmYfzV26Rq6Ez9M3bnUZ8EIU2thc8+92kETKceA2x7sg37tnPgHedyBjboHU8RZrWGvdvpLxIN\ns5fwa6BQg51S8JEiM+S58xin0aBPaIUoh+94lJ44tTR0bjqFZ98ISHK+/DkgId71fkIWOedVtdHe\nHWpExRURzjARY4TrM9khFt2urA9KKjVUXCS0LHuiINWTZvjAPE3GQSXtbryOcTp8HOtUwdXlsx6W\nPDjWyWw5RRmL1i2MdYbInPYxX5kdqrAFo401ffEVzKdHn8IclYRL2Ft+jkLCk2dI7nQZ9zJB9IPW\nwrmX/T4zNotnk58yMdMpAxGiESRGvNNm9Y4oEdmDW0v4d7wY9EqVBKOFLT1F4i7JgMj+pLPPunNc\ncCW7S79PGm7JXfidB0E7ivboZKtqdyuHe/RvQeH+F3W8bYKsdpRxlYU4CEoUjESXUYVKkDI0uob+\nF1fJCl8mHeOeKjbBei+yH80SNvVkFZufmpzN3qj7ETOwSNwmQ6CaGJX1NbP2UVSoEq+BMcaxCKpE\nqqpY2meanf4KoSwRYVXxHZWzNxNxU5Ywzf6HKhuSY0Jm5EibmR26l8KB7D/KDJPhiuw/NgYDLcFk\nM7PsGqnTSXGrsWiz2jF/E/c4HohtiIpemRgFsIJZDUS+7ylXgkN5/iyZ1WjUu1mtKNCJiPaCzZxO\naZ2wQDFG9e7DmBdy1P+pekjO7gChi2ywEyTLZfxYtcyseqr45+cwz+4/Tbpc9vqo3yrBwCO9/bo7\nJzaxizH47GGPjKpr/L5U3TeM9+WFKccYClYlB01Zw3xA5SvRkxqhDIU6DP56g0QxDLpFO25m1mBW\n+p6H4DBfv4h7OMzNMKbDE2aNFVSJYU33Xy0DYpZM++DXFDwz+PRU7biXvjUwUbX6Pew1z94PEV70\nMGjvogj2sVOEpwab4PoS5oJEZ7UOU90MdrkeXDfmAAAgAElEQVRprdf9Wq6oZ4kN4scfIKMXq4Pv\n/iCCrbDvqU3Hq9pgLwY36CnqDF29jHt0TqyZbW+ywZ1Z3YEh3KOoyqWjYi3vbMkmaG0VkmTJsmkz\nM7s9D6fryGHvAL76KjOxx/H+ewqELl31lSUdqQY+207hsyfupdDwDmFpM0/j+wM7FpX4XXSMjALi\nOyXAYQs1VGpUvTQzm5mGrZudxHiMTmCc5AtsrmMM6kGPSQ91cdp7DIiZ9EiwLzCZ6KSfNzMb5JjK\nYVKFfmUJ4/ThH4Gtamd8UCp2LyWwSouoRrcpk6GK9m7ek2WUt5638JAmmJJuJYq5qhfJzOyn/w4I\nYa6Q5EMQbb2fM0/j+8JK1rXzCEaPnOA8E/zdSZP4Nabgar8lSu1OLb82s76j4z4AUGWhnSJJyg6Z\nO/c6KalDaPnVi3hWQb/U0+LWq2Dc0R17lPmeG/XbCBIuSPnGgU9kqLfsylUk5A7NIqAYG6bd+irJ\npgI2XkmBnD+LZ37/h5DUEzxU+kalIDETHTDgi6ltNwmIZ2ah02foqnr7X2cCU0FhWraQ120ElPci\n5pG9jJg4VZWoSYrvEC74gz+BpKBgogpgpUklceKQwl1zr8HE8kCTPsMu9vu+OtZwqx3ovRFJoD4t\n9bQ5kg8mxUKYeC0B26D3LOid2GvHGdCI4dXMk2EoSNwyVtlKDN4YhMeBhEs5gbE9iPBe7j2N625v\nk9SE9rgckFgMkgyrnaGNJZxSVTfZhckjnRBKM4/AUdVYe6x038zMJofJ1JvAGl6t4p66K1hH/SQ+\nsYNQiBtjOj3LhBn9mJ0DQkL3aCcHg8TcAuea1jkTgQdtsg0zSRi2o9TLWAdb1XpHpe6uOv4terL+\noo63TZCVW/2SxaQXDyETrRE416lebFiJ1/53/EGVK03ky3/oLzbGjZdGMLWFLFK0hn8V9ERB1UhV\nBxeEkBnQZSAU+AUwm8QiHRVBPRToCXqoBbXjAw3XLzaBDVqORkoQhkV8f2LqGf89xJ8ry97dQrbq\n3lPIispRbwXOqYMOLsL4tOZxr8lBbmAaY/UcmTmBYjnZMszq7zg8hHPqSe8I1IfZ40XDo8Clj9Wc\nZt7Dq1qEXNxLkgE15cvZlVFvBX08yU0YncwiGPtaZYyLqkU6oqJnYyxsv9Jx/x6GymBHQXDQyH3y\nFOaTDH6ODrqqq9ENfH8caF8oAaDA2dHwd/l7MTOLkn7T2Msi05/NdlIpK6tb5ffv7/sNbbAF8ocM\nq4PKqpeyxMVzE0kEfVJieZPA5Kkz1AiSmKf6a4JqrqpTyk5vtDG/+umMiDK44yCMShCdWJu3oJQB\nLOX81+FgirL/i/96Dvf6riAJYZ3OiQRs06LdXeAmJDgKK7GDOc9M1Exjjm828d2HjmDdiMWynxu1\nsPtmZn3sjevOYAxeOscgi71yIlr4J7/sq6Tv+d5OavV1ZuRDsW4zc6LkZmaNAUI9KShaKuHcNGmr\nKyOsBFR9D8ADs5g/C4SYDvdxLAQ5DpJScgBSXewH3JeAeacToqq+mbne1Ppjf9/MzDJfAkywfAee\n3mmUme+vaBTYyF8moQqdnsIYbMRqQBSh4Cm7DFvUZF+C1qccpkL+W2/MCpRHRnF9JSWkTWjmk0Ut\nOi4tsS8yaSBW0VLTy1e444510ehmQL4BO9AOKr8LpLyensG6kO1QhKFkQdjPoyy7nKb2/ia/lmtg\nx1fXUrQrOULv1thjOEB9oWsMVloBsmCNsNrBI5yLJF9R9l7BVjYg4xC5gAiU5GznYwa0XCdTh/17\naXcRks/KvoKhIsmNIhKwFLp8AJiswv4eHcG6bMZdHZ91x7bfL2WT7n8A9nmNBAcjyc5zQojpzU1c\nd4DrJHP9k53XZbtAc8j3I4eSCWa+0jMzi71IWnFmZt0VzKvU0r8yM7M4Q0p99j9lsyL08HZAJDha\nAwqYpXUm5rvdQPTYWrCX6YPnzMysPgqfIWZFqJGgXEqAsNL3qNdni2iekpJpWwzcRjyB0z7nrRIX\nqszr0FzNBiyZd7Ih9i4Rxq1qOG1KB7kIe8pSJVb8uO9rju5TiuA3f83L5DzxDOb+4CyZbtex1oaU\nfOF+duFVTxSmymyFyJjzZ3EvfRQuPna/D0qrewzsyrCP/S0iPBgoZ9RzHtgX9fyWM5wTtJNZ9S5z\nz0tuXXXnuEQ7W0si+hFK7jjJk73AV2SQ1Vs8uGsrWW9WLHirHW/9O/xzOqK44Rj89k78pPu9o10N\ne5TMfOCifwOiCNvHgtsbA9SgeOnX8ftuXKM+hMAgc+5X33AfzXv/AzMzS61Q60rBiByOYgBf4kZc\nfwnXzwwc7TxHC2vw5Bu+J3Xj052fpWOeUm/Wqm9mVVbo3Ov428kpiThikTs2q0CMdkBVjRU4pbUd\nGN1C/lbnPQVBloyDNiyJHy7sTZuZ2egwjGR1058zmICTmzj/m7gGx0/GNhVsXgnRyxKOODaE71tY\nogbRDVz3WCGA8VQDEhQz66uQ7a/FvifBUYKASc/hvlt/07XolIZBg1jklPWyGrOUqpiK8TDlq0Xb\nJWQ/u9bYY0JCFcErBfNolLxD21BQVWTvyl4nVbgy0QeB9k2chHOrDP31W/jM8eE1/p0093k/N2M+\ns6jinXbPN+BgjjzdKR5qZhZx3SSYfepNYzNRr4EjtQjOU+O5ehfk1Pe0UQHOrPgN88wjCDDWye6m\nwK+Vo2DqDpIsz/9rn8176J2+n83M7HgecyheBORPlMGiyzczm+YrLLCCsLaG+VWmIyPmzdqed2gS\nNcJ2mAQ5egJz6MYcHFlRyf/VHw90X+jdKCutLPQmewIODiR+6Tf1zNXfMTOzjXHA+roZXDnYFZ3K\nDkpyBjSuL0kVWfVihdA/HnoPbm9mxWTjK/+bmZn1PPEf+Q9Lg/AzWLtrS1j3Paf+w45rxoG2jpxQ\nJUrGBthnIUQWEz9iFAzvX8ymcgRFNtDdwvxqmn/nImi5tYaXKudUwdXCNQTOs6k5d46YALtuIXHV\n6sc6FZOmIDqZxc+7c0SD73qYFghhY6+e+m/TAfvX9BQSJnL8JW7d28tK4BZsbShJsLaE+XT0GDP9\nSvSJ2bHkr1/vxZ6WPECSLUdygZe+hjUsmY5CUF1dXyY72hSc0nQZY64q9/Iq+3nS3mmTpt6aSExI\nSKBgS4502L8p51kweulMCrYbM0DroBdXjyf3AVU5cynaZ83nAS8romSQnGkloxIbrFaJmKDmndOJ\nXjIFUpdLMiUx54Eg7CHBkqCriQPY7LUW7H03JR02toM+Hk7pIhk2W11HOp5n6RbewWZA4CDHXr1w\nXYSQqzIuQXMx7JmZHXsQ9lHwZyUyJUVQqHLsAxuulgK9n1KONo5yFkICpPf9vlosYs4puNJ7J6LR\nrTVV3cL7nr+KNXzv94CcILoEyGeqdxrn9nkJD2koqu+tXsc1lBsWkdBj3+Ft3wg14RINrL8RVrlk\ne1UZnA4qWYLga89zKAgeoTzK0ACTgZRwkV2T1E6KhES5rdfcOdpn4zuS+E1qwiUV8N8OZIAkSE+S\nopjEMMakZHKZicxAUict8elsr5l1Ju7umuPblay3zlEbfJdlEphohcv/2P9BQYiCD2rDuEy2iBxC\nSB4rSIUyjdAQN1ky96VU9QhYuZoSzRO1qapRygDrPoJMozbETJlVNTk7DOac4Oec38wd5r6XcD5m\nRWovAXKYnaFRSvqNUxWyB/oRNMQHhCckqctBo97b5wMAZTdbG3P4bIo7Qy/hG9d5TyFdOok1FKRo\nU5XAqDK12ujMzBJf/2f4zwQqfI6yVb1Zw77yJyz5ShLZqQavq8bXDDND7bTHizvTwiBUzqgTn74K\nUgib9U3MiS3cg+BB0hVJ9MGARXy3rjHezEplfPfSGu5pdRnz6TTnUkw66+ji77hzuviOBGXMzCGb\nlyA7Zsw5mTrwDsD2NsZ4c4ubBDObUrCXyOK1Cx5iODlDAV46AMfG4CQ6lkfex/aur0qV83ieZW5C\ncsi04TSoO5Zb/ZI7RzjxSP11hLQm+K+CLTO/iXddB6GCqO0LolLm+9/sfrc752Cb/W707wTFUXZX\nG/d3ff8jduch51Fwu0jsolzDU8PemCe5OUVKGiQ66evHCa8KCr8WJ3lvXP/rbPbvY9VLQrmOEt3M\nnv8soKO5PBv3M5jHxx/k2BLallz0QaNsU88SWURZHVKyoEX2weziZ90pzZ5TfA78vL2P//QJehgw\nhMpJUHO3tMFki/I97Lu75PtfpL8k25POsfqgPqVlktuUx9w5+wNYjztVrKWza529pBIhPghEb3MK\nvG6x6kh72UVIaUy9NwvopWsxKlbDQ3ieixcI22TwpkpAbcBreJWlcciEiHOqt+CopTiQre4gkCW7\nl60DWnhoBDDhuMWxoLMQsmUa55OqBylWW8WeKvi2+m/MzEamKBLOykgyR1SAxEmzvooQsUos57rQ\njXcn5lARVfQE9lgEN+0IDmshhh25tYG1rWSOSyaZh3ZrjYl44CufB2T6me9DIiPsr3VQOe6P0SbG\nLx7D+DiJhyDIUv/m7hAqMtUdfE+T9+SsfpD8Ek229LYkCl7cx3M1+5BcSQQ9mWIKTeQxTiIvSG3j\n/Ucb8BkSQWV2PzttZmalPfgMvV1Y95t7eL6einfFRI4keK2YejOH/qaZmd1mv9sD7/SIBq1DUbYX\nqTWpCuMqq4UnHvCJsihmnxF9hCSJu+IxQg8555uxn1+F26yuUTYitYngQOx/8mNaAeV9mDQ1CyC+\nRJZInLqjX0wEK2xLSLPn0yq8f+7XIfQ3m1RfmGjy4Yuol7VvAGMewrhdxTei8DKTedUq1xjnsdNa\nM7Mr1C+c5RgL6SGUSCjendqCT7WWxfX7k9ir85IkaDABnAmow/lIWSIWIjHGOq016mUt+UpW8yYC\nscozfw+/IFtx47B61mA7Vrf9PBvIs30mWbC3K7vgX8Txtgmysst/bDHp0y0o/bsKlrICggkKmidI\nXlCRUUZM/UESLhXUT9kqF7CZWVKEFwpuNDlEv05nrkO89/qznffAheMCF0GxgkyzepfUhCvjl+0a\n7HyOoIIj8oWW2AWZCdzdhLGQs7oVVLJqBRidQTIcJlkBsMpMxz1JPNjMLMXmS6f/1ItenHwB76NA\no1vd9k5QTj1dy6o4YpMVMUXYYCvmnu40DPS6Ao2GKIrp1O36ZmnHBMnrZ0UcQmhp/cx/jXvf8VWW\nxBKqAwlm7eI0BX674bwXGTRYgEtfJ3GWAkjRy9s6SSzm6RhO+aBB7yibQnIg1lxR0y+DvDCbK3ig\n4A7KyMnRUQVgeCLQxrhjjs8RMjE5yswwDXTG/EYTS0ON/oreWS91U1yFY9VTeYvCW30nImdIUkIg\nhH7sluD4l+i4OiIM6uYoc1fZ88LSeWbml5axaWtj1Ea5uohNKuwtVA+LnGmLOcYc+9ZtNloHvSxq\nTL58m1CWXo4ps6D7wSarI84zSUPbI204Ocxf/mPMt9DReOK9eL/b7A9Qv8Cn/ilgaD/4Nyg0G2w0\njQGMbUZ9b4SwtovTuHdCSxOlWXeOqgMjTdyDmOL6eF0nFWFmicNg1kwxwCyT9ltzcmMO66gyftyd\nU5jCfR5cec7MzGrbWH95VmAzDLLEdmUmWmHfVydojpxg9Qu5dWRBr11BPVmE1TGAafGZQ/hTJkWt\nIP5OFOXSutnfUSDiIebREvcK2uH5FpI6o4OE8TBrrIqama8ApMnu6iqLukeujZ6mpxdfjfD+r17C\neKkvTfcvZy4UmH3hT5AAOjRLXUexvNKeJZgINDPLEJ1xQGiXHEtdf4D9IurRMvOVvkieIG2P5rHW\nwle/4PeXqaMIJIbv6Kv78A9jXiwLVlv29sVBizlvk6Jfp62o9/O5AoRBg7pl0kscLmCuLO5hj+gt\nMKEZ6GQmVf1i0FAqcp038VnXzxdoHhYYpF1ewBw5nmY1nQgGvcvw3sTUKRi64M8HddqdoB1Ngarr\nZ2bgorGXCPkXn/VO9pl3TeMzJGEQrFbVIaeTeMMn/saOEloq2Bl71dRvtU0URG/9ZXeOdAslcSLN\nRifWTrscBsx5+ga7LmmA59CeJLir9NTMPImNCG9OPpbtGJM22xN6c8E+xv1Y+0ui1ikSLObNnYBZ\nV4y0UcTWAmpUXX0dgeckYdy/9vd90uijH3um43m0pzdZqR0a9vB9JVEGEvB9lOBV+4hQPelMQMbG\nwC/dwrtyJGxcE9EtoDgaaZ/8qBxDn7hRAkZwbfmiej8hzdONTSRTR3obdzFc8NtB1lvmaKcrZoNk\nhQr0S1ywod4rOtvtQ2hmlT5PtOwNjYPeMbgSO5sOZXHavV7AWOQITfYYZLZJlsCqx86hj5qZWWnD\nw5+c86sqFzfF1iCagJPXWWVp+uAnQS2t+qEfwPe8Ai2FmLTJkQw3NbjMzHb6UClR47nuf+c6M2nM\nqIhxy8xsTTpL6iFTEERMtjLbm93f7c4ZVDad109zTAYHOnHpHYxho7i3JOGPclz2k2TjavhNY3cP\nTujN9c7eFTlfTpSy7qmCRXyhoLA2gOAtkwCcM3MbDmZMZjwzs8axHzYzswNi/hPMNBcXCdGkGr3u\n3cxsr0rtKWo5ia2wPgLa5zS1tpSxDe8pTnDcsyQ1EQMicdxiaTMzm5wknp/JOrFXDRAvLihD2AC9\nmHuq495md87z+ZBdu0h9niNHfRZcEDYFMl/4NObTB/4SgiOneTbgqc817mn1MBI+qKzoVt438nZz\nHbT6sYkrMI/2yJLJ8XLCmeZZ8QQbW2JPS3oKTtHoNO7/X/62p/A/fBxJCQe9OTSNfxk0JE7/Dfy8\n63uYknQsJyZY9SRM5ewlUhEzmLv3dACvZIP29WWcWyzgs0oAPPwY7mMtEL2UsytI3CIryoep7SVH\nKuzJSi9wvnKOLJUwv3qYFBHdfBQEWXL0FWwpAGyVURFInvvH7rNywJZJPCGHsJcBR/ckkkT5aV/9\nUv+EKliZdyHbesAMeUaaNwHsUWW1bj674LYKrpShD/uF1tdoJ8fhBPUk4BgLtrXf6uxXwR+xSWvc\nJ0lXLl0hNcZH7YAsRzaUGnsTbUK/92lfiEAIqe+l+2Q9rG4QzpNaZA8e31dj+D3unARhr0pc7Gwr\n2Olk1FJgZWZWKqvvidVDaTfy/USVSbvzkB3uLmG+dvEa589h3YdBnJzSFm1Ti85hXx/uTfZg5riv\n/Aip0E/trG0Grlcp9yCSgzhEV0hCY5UMl4RKN0vSgaPYagAxvDIvbcAi7wnvskINOtvmPQWMt0qY\n7HHZtQl7Ux+X0+sLYEmqsh0eoYzIHuUGyIQrhzaEi9eKuP8V0sqPKZfCy4fEF+p9LubJKlfGnMk2\n2dsYs5oc9L3pfM3tb34N9mrmBGyrqryiAzcLksFcf5IPUM90Twb3Ot/0VZYRaiU2iMzxgrnUS2Ry\nuhUEDWkFfAxuBKMW4YX6YaWjFh6ry2QrpOxH4hrsW+I+sMuG0ipiWb1+C9efHiJsO4v59eKX4eud\nfNhX2ZRcERRPsgnjxISLyfNDP+Ir2eqRrVIYvZcoBCXxQt2vVpfYMGl3OU6CFssf3ArEu/Wu0nmt\nC/y7V8AY5GYpVRD2ZktiiOskJtolSV8kLmPdC0ViZjZWxBy5fGvYkm/9WOXNj+itH8K89e/wz+mI\nmnsug7U7+9fd74sbv4b/kKpTG2jiGgKYeIyLKxTkVNDDICjaYPZAFSVl3XeDJkNWCTIybIIfcvGV\nXvoveUOBo3FHJktaSkkGhs0VbNxi9DIzaw8hEHOECqOPdHyPVW90/mxm+b1O4UdloZTNffWr2ISH\nJ7yTrY1RwdXeLcAGcl3su5lBRaY3ExjBRYxTgg3DO2Xcq1ye3/kNXOvBJwLq6zzvU9TUFJIsZ+Bs\n14NAtq8IAyYoxle/wkZo6lcUybxnWwFTFCsy8Rqum1EFY4yitAwMQrYk9bBkaZjVrO42Am7iyTXf\n+L5f5/USdKYMG0xhDVkp52AETdnqa3MkEqI8j+lY8B3uZabdKVli/GPDZ0Rb2w6cUTO/eZiZ9TKD\nnN4iIUkFjnKK17r3BJnxArigNqeb7Fm572Hcw+d+H3P0B76fuPKwJ8uqHfctOJWqvCXzEMbQQQ1/\nbhNSKOcrLnmiEFG1r5NefmAYzmlvNwVTb+Kmn3q/72F84QuY+w+MYc5JKyxmNUQi5bGIasyz4qWZ\ncVxax/vv7cP3zF1ggiHsYcxgTR1O41mrBdiVuSsYv/mr+Pf+h3xgJpiLAgppeonyem2dlN6xd07a\nfXg2beaDMfsGqxRO5Rxqpfy4Xb2F6w8G7JFmZsmbgAaFUGkFQv0ca/VXCI62+8In7c4jP0pZDFW7\nd7HGCqy2NwdYkQtskiBK24LGBRUrM58NTwXQHzFm9hjWZ6KBwLlRQKWpRPbU9R3vAIoEQ9VCXa/V\nwnj9Dz8DAe1f/EUP/ZLshohv0qtkQCUESPDXtZqvsg+wad3tDayMxyU4StEOG9YDlEWL8MYFCi4f\nuRcOc18f1vTiPNbT4Xv83nT1AiBgLlEl1loGd/GiTzC0ZlGV3EshwJfgbhxj/QiSubrobV9LEEUT\nxJgBRYwAQ7IZYR+X9N4WbuJ+xYY4fQdjW9gnmCEkszbzV8zMLLuMYFTJFpFOhRWmQ2MYhxYdf1Fq\nu8qQAs6AXCgiW16z0UnK0ctdSbDEEM5VFLlvkpES560goQ1qLjq5FjPLb2DcR/oxZ7YO8C4He9nf\ns+/ts+4hsc2qJitkG7M/YWZem/DQPV5W5uXnMX9EfKLKvPqHlKQImSKbebyzVANjnWSwrXmsuTjU\nFxBsrOEZBTvVZ2QTy1UgMqJBX/3c38M9jI3Ajly8ECBJgnsKqc8FLZ0+jECzxURcQolnVoTDpEFt\nAImdKVYQXzuHedzdRxj3Icw36RuaeVmBzDreT7kLY7LexD29zgSjYLI4H+vkCAmPVtiHOHmYvdKp\nN6kKsXKlpGC9hTmZiXAvg+UAXRVJ2gTrRlJBXfv0M+WLLAWJf/Vcar0TkVWf+B4z8/6g7QakbwPw\n9w5Ht+6K3qY3Pb5N4f7WOVq5IUtWnzMzs+Ir/53/gxqDFdyISYvlVm2kYYO9699qqC8I1Q+Jujkx\nzJD1T/fRR92C2xTVUxWKQUTzyF91n029+o/wH1EfyxHnPTqa6WUPyXIsUswet0eQnYoawSIOr2Vm\niQ04xmoybpJxsauMa33HB+FASTPCLMDcb2X5GIBoJXqm8b393GgWPue/U/h6OiFxiaKnO/j+938Y\nzpAgbWZmyVt09FQpm0ZmXsZKLGpmZrfaMJCDXTB695wi/S5hiN94EeP2Dt/6YXGNjv/mHB+MOjMi\nvBARxb5nFxINsiAfCTVH01FqUYQydACO97GJ2bAxK+NbuAw9JjtGJjQSLZiZ1Uh17wLmOYxF7YGf\nsfAoNHwlq8U+Ol2/q6x+HlK7s3ISBgC93XgeBXqvnsWYnLyXMMg63sdB3Wfb5LiIEWpsAp/tZ2Cz\nY7hW917AsMY5GHFMBYNQIHaQ9E5DIY2xVY9KT4sBegubhOZoIxn0V0gLhhAzafboXS6wiTqd8Wbv\ngUcRXMnxE+GFswNqJA6CRVUhr9/CuMxfwfUPkcxCfQRL877KeniUQWI+SKKY2Rj1jCRgKyp3M+/k\nqq9OlYzzL6/xe1jpLIZSEZy3lG5Qz6IC2YMy7U9A2Ts+xqoQs+ES/NWG3Zr8gPvsRpUagTtYYwps\nWhcxj5PMGrdqnlZ+5xoqPYU+JnG01mL2J6aQKBloerjoNt97XxfuTTGDqmya35rPZmYvM1P93g9S\nQ48V03oTz5phgJgKWF+lodTN68oxF136j/4sgutF8+9/ZOu3cT3CZ5usNEgCQ063gn4zs4jK67Jb\nTrdQAuMV7DfKpJuZ9VSwZk/Qjsn5ThnW4dI8bMqF1zzV/v0PH+I40fk4T6SGWMcOvd/fE6tBOeq9\n1QidvnAWzzHFql5Y/VgitOvoKerxsV8kQd9tkpIEGkczD5+9dgFr6uEncY4SNPNXsVd96C8HgSyd\nPgVXpj5UoiBUvXfU4cHz6NCacrqL3NNdf7SZ7TaRsNggrI7yVdZiIKb+4VLsSRn263hHuRR+9+oV\n2MCThxGIpa9jLexM+r08k8B4iPAgz4Sf12z2c1LQ2FYWgUs8gnVYY3VSFPibG/6eHn8P7neNKA4R\nYKhPVKiOvaCHsZdaZ0ISxGKp5fxNiJXTfIIjLQkaJhbjDMaiuI89vDVOQW7R2ZtZagAtAxvszdL9\nl7K4l/U67k39ZGa+ulUS+ysJfOTXKPHcDpASIqJSVWqAVegdMfrSVl055/fy4/fDVrczCBqvr2Os\nl5jAOHGSrJPrfqyl9yVUQKWrs29recXbvsEeJofb1MGSrESyMxBzcMvgUJVWYfGlTdiOY8Y2kjDA\nEGzujqBD4xax4tfu8YkMacPVo8k3iLHfNce34YJvnSNOlzzjXRj8iDzCsfwp6zVnZmaZxf8WP4cV\nJgYy7WHA9ly/iPSKxC436o154iYouoXJdgKzB9Q3kCiy+rss0Mm6waCNmbilkwgShxo0PCsBU6CI\nOlSeFixR9yyiikG/2CQSW++Bgy+IxM2LcBInuHGGvSbK5hwmCUexD9fdvYr7L3I8m/f/TXdOahUZ\ns2sJBKWjDKa+8HVkhNIZGNAzp4JpqaCRlQU5qXLQRYFsZlZo4Ly5RdznxBjZ2Ij9PkQMer0QvBc6\n4M1xwEMdVGPut/ABQSlIb2vmhf0EJVWwZaTaTZ4DyUjrPs+eVk3AwcwSFeLEgDmv1DQfari1B57G\ndVhhTLMqmb0GJ0+sZso8mpk1GNxQHskJiYqBbIbZtv2Ef5dpknyoR25qmkEjK5rJBJz4hTkfNEjr\nZIhU18qcC74lraBQyFYGUc/jAyhkRzMBI5nRoRDBRnKVEMwcG64XkfRIFXxgtlZEULpE8ghh8GN6\nTjeuYa2//y8/6M5ZvIln6mFTtN3kJtVxzqkAACAASURBVE4B8LhIaF7ArNhO4T1PMjhRoKG4JUcY\njzKbZmbtNMlk6FyLKlywW6cdFNLLs3qzwbmywX4haZHp71GQZBFc5EYOzvRY07OJmZnlCAXdTPn+\np0oM2IgYz3oplG2XMCeTQf9m6f6fNTPvuDpKZ9qTQp3MoRlf/WoRqpw4guRDfAX9DdEExni4CTu2\nmTvjn505oHoT45HN4HtuLMCB0foJ2QVnGXSKtGa7wh4dzSs6OJmg+iVHXL2LyvyrgpYje+ZI7Qvu\nHBd4N9VXATuwGGF/GTH0ixSD5IfrxVGvrHNWWZFhr2Fh2NvlRfYW6h7LRBYISlfpw5z53r/mRZzV\n3xKJS1cBJXULpeWI72bPHfevbBZrWfBAOZGCK5r5vpnYGJTQft6cw7XGJrE24rDxjU31Dz2BQEBB\nvOb6w+/CPYlt1swsWieZS9e0mZldTEPI/mirs0dTlSYzc8K4CfbZSaO5QbZZEUSlMr6ak6bmocgL\nRIogfT9B/lSdNDPbrWO/zHTjC06XCRO/QdKHEewvmaS3fdfm8f/DvfA9rq1irk4N4V63aj7pKUKb\nmPplqXkk1wrjaAFQKBlKOagXd5swV9Hmq79ni1qXw+O+5zM9zz4jzuMbZfgbM23MdbEaZvf9GMt2\nO+Y7MsLuVbAXFTfYP1zqlBkxM3v9Neo/kQLdGEQkKFY8ecTvY+ol6xlg4MfKlethJ/w17Mlu5NnG\nQVbRUpF+RaqzByysAGq9yzaMj+L7qgxglXgKdaT0f/lAar1TcjgXQPEFvRSp0/wy4bQ5/F5JF4k7\nm/kxVuC1acgKHxrknGzARtRf+W13Tm6Evq0qffRj1eYicraQ9KdrEwmMpdzjdrfKZH0bLvgWOuJU\n2aIsDUzWG5pY5BQKsugUtncIeztJaGHAFGc3MDnbU+g3EoNMizpDmuAhJbEyDNk50P46og2J9tKR\nCXt/opd+Gf8Rcx83zKH5/wV/JxWtqlVm5vSW7E7xYUIP6wtYdCnHOuMDu2QWgYvw4ymqk2u/bPq0\nm/X1clN4HZvGNpluuqfpwLLHLRX0C7X6EMRNtfCsL30TBvLBMzCYaiRd3PH49HFV4Chgqp4Q/Rti\n8ktpGMYDVq7UtFwl65ycq952ICzK4DfFcnvrKOApjpWN2dHkvs+y673KwMsour6LE6DP9gK6Zg32\nm0mw0PWFiGiFG1174jvcObn5T+E/DDRjMVJyLBQM7zS907C714kTl8CsCANyd8K8zCzaRE9Hls5b\nmtnbzSaMe4kaT6cf9Jvg2XO4lylq+GhurK8SXlniBhRstuqnUha/PyZDGAOYeiPQYeP71Zg6h1Z6\ncwyu6n3eMW9sY4z7WMny2TmM06PvRqVTFOhmZtNH1IPDzHsgnm1mFr0GdsNUABdOTiFbq4xpq4nx\neeVFrAU5+ztVv6Etc+4NU5j3YBVzcpAVk01mSqubPguq5/jys7AvT34A632fm7sTlO7xFYC9Xjjc\nI20+I5nQRLygZE7lwPeYbScxf7uFYI6ZuWbFsT3ryWtyNayDIQaSoiQXzFWU4Tsrft3nKvwME0AH\nVdjWXC+chagGG9yx0dMZePGrcCweewJzsZ9jImjRflBdl3ab3cB4ZQkfEqTp5konbMnMN63LAVMg\nI22dr38Rc/TQfb4yo35A9RTKDgy2UT1spQhbCxjWMswoK7jSMzu4Mu316npALlTvpBVXn5XrV7pD\nL83MzycnVC/7soQKbXI+YPskxLM1hfebT1KWoYj3LlIY9fWYmTXIDLedRsBUyODnyRmMV9hbpGOd\nEELBdz/9O9j7PvgDSBopMRP25MXDCFT2M7Afsz07/CzHVCQAAbxS70E9eCJ5yTbIoqdEaYDqyB3g\n/WaKJIxgAiXagI2KlFwJnNOhJPaPdp3zmpUgXXetjXvuDuCvMxNEROzB/k73MQnJ3uKuLm/7BNNO\nXaITraoNERhKBM5f8VD8RZJT9Q5hjEWKImixbEh3QF/viFkYbM/uouIccwwc/DVAcUT0g7RURZKV\nbTA5SHKukJFUhyCka9TLEu2/5sxyUPkXWYqruCf47vYpK0LEQVI94GaWHIJ/sdqHgLyLMiZVVt8v\nfRPv9PDJoL+ayZr+UQRBShZOMFmgfTLs/dzfJaHKTYqEk0RKAW0xgOI7ohAJDHN5zu1i7Y3I6KY9\nGkFyAnmu854m9sCoTsgh52T+zE+4c+JbhAHPo/1AvAGNo/BF1NcVJiXUf95fPX9XBCtveny7kvXW\nORL1dTc5E7e/7H7f3oLDn2C/wMHaHH7P7GvhIoOiw97REORCWTzHHPUSKkxtOtnJa5/yNyAcuMq5\nctoYsNXoeGQDJ699mloz3DQOvojrx+twdAqsekRhQKWNhExB20MIBMtf+8/MzCxHeu6o6lmsYjlI\nhBbl2ZszNY1ASQzBqaDEfZsitL2sBLaYwd5bYaaR45if9E5wUlkobvwPnEBfyl7cmRXvKwVMjmpm\nZwOnIHgiL4kCMbo69WkGyFa4toMAYIr75E6NwdeNr/jrq/eHQVbyIitY6odiEJ7o9kFJow+9ZAqi\nGhlm0AXVYvaoPfmd7hz1pnUXlWmiIVY7DVkuE9VAYJCHc8SUpeL7SvC9F6d9v0AXKZWbCRhZQTyH\n+zC2K1t4jpD6WtBRQW/UL5IlpEVV12bGC/+q8qKgUT1eI2MM+Jje2yl6OEdZ4tpiiCLzpWCqmckp\n91mJ3kZkJ2yNYENwjfCE0GYDxsNewiuX1qgrJdgpm9jlmJ97yW80c69jo3+QWXZbIOTzBmxE8h5k\ndwWpMQsCfM6dPu6PI9OdIptixjPzBA7JKqugEZydy+cwtqcexiQNGbaWbmONPf3dgNHK4eilEK/T\nY5EItvnejyab8NVg7aA0ZPQLm/JLTY71Dp1PzU1WjxNrvlLWmIA92donSybHuL7NwKkbz5E75iUP\ntl74P8zMbPMGtO4GjiIQjOaQSV87+jE8186L7hw5J489TptNW1uvw/kRROfGdQ8xkgh0L2FvSVJq\nK2m0u01474B3mNJ81sUFrKVxOlfkyLDTjxKSvePtpRPGFmybznRTvTgreAdRAAGz6hx+J3ggG9GN\nPVLxGIKK0ZZHJdTHYTuVIFHSIKaLq4x6qH2kzPu73gdikzQRGRGZ9eITHsImHT5V3NoMCpt1BDQK\nqJKB3c8RylZuMenEnEC7jfekikrY87nHqoqEcD/w/bCf6ofJsVKXqPlElgKlEu39uSrWy4mKd6rN\nOolv1OfSbuN6xTr3dkG/7+iDNvPrQwQOqtBmGTApiEgGwVwkiL+YIVlB0ygNrv0u/lPzmmTS8FJw\nKme+J0OGvXoAkc/BbjTuARIifeHXzSwYcyb1HnzUX1+BSo72Q9eX/ZcN2Q/EiCWHIkbiZoHMgNzX\nnOxAwJKopKOEuJ2tCIJQMw+dNzPLDGN/OvUgxkAslln26LaaZFoNdLK+8EewV/ecxj1N9uM56re4\nVxyhcHKPF/FVkO36NzmHNDaqlJUCeQEd6U0EbQdd7+g4R+ylrQD+usVq8Wn2HQg67/S+AvZCoXea\nkpHgeE23OPZ7TB4H9jjLcT+3gWc7cpjvmWOsHvDaF37cnVM8Aw1CIS+0byq4czDyQMBY1XVUhTt7\ntu+a4y7oJXv7BFm1VYtuPocfAghT4jiaf+0WHMDcIDIarSqyHju3sRhSm/+rO8cFYE+gNyZB57F1\nH5jIktTrsJBelGx+8QR6SSIGDe2TWBzZC/8UnwsWW+I2goGDy4AL5kjDXuU9uZ4J3quZz+boKH+D\nhBrKVLAaEi8EgQbvSVAmGSs50Ap+wl4pZW2Mm3eC1OfSy8qdBgOfy6gG390cIplI3OkMvxku2LEL\nvvw/4TMMrkRNHwcbgDbEBfbiJBMwzL/4S8+ZmdmP/BTJOIJ7ai/hXSnIdpUMwS5Flx9AppLUgEoQ\n0pIkpMUWGLwzm695YWa2N/MjeNY2Kz1suHbXXeBns74qJW2ueB7wDQf1HKGOlcgZgorZ9S28jzH6\nE3LErt6EgU6zgiaKdzOzaBfXUbZd0IZ8A9UOOQgh812BMKrVOarTswLgNFCoC1VefdY/D4Wr945h\nc5AQeFxhX9TCp91HzzUB4zk+BIcjuezH0swcnLcx/b3uV3KyUik8q/pCUilmd2sIBApFD83ZY6/M\nK19B4DV73zS+b/JpfOAaoW2HPEtmoxtrLM0q7R4rQZNTcNB32Vg9d8k3eN9/mmxsJOroyeMe0szY\nyjkNNVZ6mek9/zIy8dL5GiQ1maqVcdoHp6pKJriGEwuYO9Jhy9xA4kdjbuZhr6oKCnJa1BoIcP4Z\nJXHyWMPS9Zp5iNDY88i+xwv+fe2zKjD8DOylgq4S10nfWcgk7D709/z3tBHIrGxgPAa6g3Vhvqoz\nOuZ/73qgtkn2wkx89gDO6T0jzASn/LNfnUNAMczrSDBXVbGVVZwzFAXi3STJcWuXY+J6MFllTWz6\nftEWKzNOU0tOO5Nt0StwpKPj3+fO+Y1fwxiqgimHb54JLsHtQp2sS2dxD3ucgwX2IbWnwLiYkFSE\nmRWn2dNH3R31242NY71MTODfS697qJwICYaeRjUgIeKIA9hhZfxDeJVYaUW+IIFnBYSqWvQGrzgi\nm6fIhI4wloqu0zntR/ImJJcoZLDe5ODXCfFuFkgu8pVfMjOzzIhP/GnuX5+njAjtWpEBmZ4vlJfY\n60fCR8Hv+Cb7jpUM09oKGQm5r5cM91iJ8Z52W0jmldKeXGS3hgRW97XfwC8Y8GnuFJgsXqz6YFFV\nT+fok/luhHDuiKa7NOjtftxmjzTnYuISg0P1IauHbTBAyhD1kpAPxT1dLLDxABJ1IYtdiygHVYWW\nFzGmGbILfvmz2BfGZz1Soo99aJJUiKcQ0GQeILKItikKyMU20pgTfZtIVGznEVj29mDd9JGA5dWX\nFt056ikePgG7nEsga7CwxZ5P2uPBgJZdFdmwim7m/aWQpKcdce6xAqhEhqC63h4EqBcmO0+kSI6z\nnev8rBgVx+8LvpzJbcEqdf0qyd6G0VebT/tFlllD5XKv+5G7lsE9jt5YzX+rHW+bICtOZi1SaXHU\nY9ilK2BTpM6lGHCSeg+lMo14GLywp+uAQoVpYWiZtXAMcUHGLJ6Egx/doEgvM5pOC6vnjRnmBLP1\nuR4s1PXLMHApUiG319nHEzRyt2/C0Xc9V73M9Dh44lMdz2BmZhvYuFozH8Lz0JAOUhD08mUs7qPH\nfKbeCQa/jDFtM7unTLYTSFYfnJnVjv77ZmaWvQGtlnYFMCcZIGNmJTZvCJIrdLz7CXMgS6OM1H7Z\nNz5rMk91IbNfy+Md/th/incrJrEo9pCJxr3oGct+iWQSHPPmcQSJEri0de8wKespZ8pl83hve/OE\nZH7oP/f3FtOKtYj5p0PmAqcuBnPSbTOf9ZL9i06B5t9YDWl3ka41gExOl/C3piFQqjLQUPZui47B\nTuCYVVj1SK1jcxJ7kcavVhNsyZ+jqspRwhFF0yybJ+hPFBBGJChBkN8kdIp/Sxxw0wugssfT1PWh\nUyj4iasiaEyCNaZmYpElvPoCg6qHuLE5gUvfXyVhVNcLRQZPpycniv8NT5Od5kap8amSXUrJAvWj\nzBz1EJAiSR20mZaLcHZuk9pfDm0+7/tfzr2C++/p7+zXEvxK0Lnotu/jjMkumlx7WTeL32suFcn6\nGLA3CrqmRug8HUFVw8PAX2gAPatzNF4HC5+ggNLCMjMb/m4EUe3LCFhLAwgKkyeQ4JIkQTpISu4T\nAjtU4FqOMZ/29zHW9QbedUjGI5hjF5MPadKjC7IqiYBk3Wdtx9iDoXdWJtRYgrMK3Folb/9ThJs3\naC8lQqs57yA5WZ9kS7KH0FWNxxEApJVZphTGSt5TRf/wj5Fan+v70iXYYemlba7BIZQjamZ24jSe\nVURtrWUmgnro+Ac9n3dC7rJZ9qw6hx1/Dxnpevrx3ZkNZP5lh7eYdVfv59CgZ6pMU89n/ibmvvqF\nugc6+1/igCpeNOuq1iekTVaj0PsOocZBT25ym/sYq6BaaykmDxOHuMcHTLEtJpRGSFsvIhTNyTYh\nh8r6m3n9orGIVPBCaGx3oiyk8WXmSVGaRVQYbzcwXsMUMt5peCdeELZYPd9cn/tdmL+yx8mUn8cJ\nVV7Uh8o/OU01XrMWiOoOlpnAYv+Z3qXgwa7XPOgTb1EXS5qXkopIrpLg6M42CPP9lLcWmfRi5VI2\n5My7MbZhle1zn4L9evTdqIIl6vi+1jkiix7+j/H7QPetPMG+6jr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JwmMTB4EWlhwjittq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\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j7B0BTHPoE4TGrZNBkf00yVC/zoyZWbOANZTpIVJKk4Y/TWij8petoCIrB6nMQHOUvTjd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KlsW0nQ6YYHiRJusO9P1itSqsGwCsc19quPQ+3TrQ2z5/S8Sej/u2qKknJSzaxJOV+JR4gKqJq/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dwUyt0/KCwbok9t/cILN2MhuZdGZfRGwgLFGi6zPajaAXob/Uyw4rHtEUDPglKjTYtq4Cjb9p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\nixcvXrx48XIK5f8HPXihWF6Es2EAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x1050e6a50>"
]
}
],
"prompt_number": 3
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Using NMF to decompose the signal"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from sklearn.decomposition import NMF\n",
"model = NMF(n_components=4)\n",
"model.fit(absolute(S))\n",
"W = model.transform(absolute(S))\n",
"H = model.components_"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 4
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"plot(H.T)\n",
"title('Temporal Activations') \n",
"xlim((0,230))"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 5,
"text": [
"(0, 230)"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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CDR0b8MroK8jlc/B5fcY/SBTIZICGBhKU5VBrgrKx0YRDydvFVGGmpoDeXrZ3\nDIftG0dOzMHj8cDn9VFRHpciFeXh8ZwmnWVpJ3JqxaHUFJQTE8DatWxiIIfSMhJCApFAxPqQVyfl\n+UmCEuBvnVZzKGuydYjcoQyFWB+20VF7x1QBeM+hzOQyCPlCiIVjaKtrw4HJA3YPyXFIfShJUC6f\nWhSUug4lj5NFhXniCSCRsH+/KIW7AigU5XHS/oYwhudzGvn1J0E5lO5qG/LSS8Abb9g9CmMKOZRW\nFuXxeDx4xzvegbPPPhs//OEPy/6l1UYuKHk7oVI6lGF/uDZbh8zNLTqUgGsK8/CeQ5nOpQuL2abO\nTVSYZxk4IYeSivLwQzptwqHkbaGqAjt2sI92v0ypIA8ABHwB+Ly+2qxj4GKkojw83lbKgjwA0Bh0\nv0Mpimxvrvp+yENe7T5xqgD33AP89Kd2j0IfURSRFJKsymuFHEpTgaB/+tOf0NXVhRMnTuCd73wn\n1qxZgwsuuKDw/W3bthX+v2XLFmzZsqXsgZWDoxzKWm0dMj+/6FACi61Dzj7bvjFVAEc4lAuL2caO\njdh1fBe2nrHV5lE5C94FpcfjDIeyNdoKwP2CUgqRNnQoebuYKogoMkEZDNr/MpUOkXT91VwdAxcj\nFeXh8bZSC3mNhd2fQ5nNsqwm3aI8osjfpmkZJJPA5KTdo9BHMhd8Xp9uDmV/fz/6+/tNPacpQdnV\n1QUAaGtrw/vf/37s3LlTU1DygJMcSqkoT80xN8dEpIQLHUrerj2g2KHc2LERd710l80jch68C8p4\n3BmCslYcSinkVfXgnefqIRVk7142L/b12f8ypYI8ElLYa0vU5mpBRMXg2aFUDXkNxVzvUErvg27I\n69ycKxzKVGqxXRSvyNfguoB2yKvSJLzllls0n9Mw5DWRSGB2ljVcnZ+fx29+8xuceeaZpYzbcnh3\nKOWTScRfozmUWg6lw1E6lDxde8BiDiUAbOyk1iHLgXdB2dpKgpInKIcS+NWvgEsv5eNlqjmUbm5b\nU4tw7VCqhbyGGl2fQ6krKCcmXJVDmUrx71BKBXkAsBxKK4ryjIyM4IILLsCmTZtw7rnn4j3veQ8u\nueSSsn9xNeHeofQqcihrMeSVcihtIZ1ddCj7mvowk57BeGLc5lE5C54FZTK5eNDLM7UkKE3nUPJ2\nMVWQHTsWBaXdL1PIFx/qUusQ98FzarJWyKvbHUrJeFxy/2cy7IsNDa7JoXRCyKtZh7IUDENeV61a\nhV27dpWsbPt0AAAgAElEQVT9i6yEd4eSQl5R3DYEYILShQ4lb4uZPIfS6/FiQ8cG7B7ZjYtXXWzz\nyJyDvA8lb2EtqRQTlMeO2T0SfWpJUGYyLD2oVh3KuTngz38GLroI+MpX7H+Zqg4ltQ5xFVLbEN72\nf4B6yGtNO5RS/qTH4yqHcmLC7lHokxSShTW4Un0ond30TwMnOZQ1W5RH3jYEYCGvLnMoebv2gOIc\nSoDlUVKl19KQHEoeCowokQQlhbzyg+k+lLxNFhWivx94y1sWDQi7X2Ymlyk61HX79Vdr5PPFrZ3s\nvt6UqIW81nQOpSQoAT4miArgOIfSyrYhTsNJDmXYH67dHEo1h9Lh/cAc4VDKwm02dlAeZanw3ofS\naTmUUlEUtyKFvOo6lH4/kMuxfy5DCncF+FiPlQ6R26+/ajI3x3qL8oQ0P3s8fFxvStRCXhtDja6v\n8qorKFsWCmJJIa8O3wc6JofSv5BDWaG2IRUXlMePV/oZSyOXY+WJpU09bydUqg5lLYa8Kh3KhgbA\n6wWmnT2pyh3KQIC/PaI8hxIAehp7cHzO5pvWYfCcQylVeU2l+LrulJBDuYDkUPK6+y0TUWQFeS67\njH3OwyGbsjAeFeVZPv/1X8DXvmb3KIqRCvIA/O3/AI0qrzWUQ7nk/ZAK8gCAz8cO1wTB0rFVmmRS\np+cmJ3DvUB48CJx/fiWfsXTk6zPA1xotiiKy+Sz83sXU1UigRkNelQ4l4IrCPHKHksc9ojyHEgCa\nI82YTHF+lMYZvAvKaJSZXrw5B3JqUVCqXiupVHE4Dc87kGWwfz97SevXs8952OCTQ1k5xseBsTG7\nR1GM1DIE4G/9BajKq65DCbiiMI/0Wnl2KeVrMJc5lIODwEKHEduQh7sCfCxgEpKY9EhqFzXcNkTp\nUAKuaB0idygB/vaIyhzKeDiOySTHsx6H8C4ow2F2a/Ec9lqLglJ1HkgmF3e/PF5QZSKFu/J0wKvs\nQ0lFeZbP7CwwNWX3KIrh3aFUrfJa6zmUckHpgsI8qRTzS3gWlMlssrjKK28hr8eO2X8dKAUlDwuY\nhDLcFVhoG+LSkNd8nlX3U6UGHEqAvwVNmUPZHGnGRJLzcmScwbugjERIUPJEOs3eD9Xwd5c7lPL8\nSYCPl6hW5dXN1181mZnhL0uFd4dSLeQ17A8jm88ik+OsbHgFkUSWblEewBUOZTIJdHfzLSi5D3kd\nHrb/OuDZoVQW5AHcHfL65pvAlVeqfCOXW/pGAa5xKOWCkrcFTZlD2RRuwlRqCnkxb+OonAXvgjIc\nZgs3CUo+0C3iJHcoeVBbFeaVV4Czz178nIf1eEnIK/WhXDYzM3w7lDzeUuncUofS4/G43qVMJoGm\nptpxKJ0gKLkuyjM8vFgUZzmkcjkcSCZxOJXCUDqN0UwGYonVnpzmULq5KE8yCYyMMKeyiESCJXp5\nFZdfczPfd6AJeA95VW6mAr4AooEoZtM2x6o7CHkfSl7mFglJn/DsUObyuSKnXDodLXWudwrSAYTq\nXCB3KHm8oMpkepoViZLgYT0W8lSUp1Lw6FBKh2oAn7dUOrs0hxJwf6XXVAqIxVTeD3lRHsDxDqUo\nstfa1cV3L8pq5FD6jR9iHqmZdjLJinaWQl4U8Y7du3E4nYYHQE4UMZHN4mfr1uG9ra2mn8eJDqVb\ncyilSpNjY0B7u+wb8/NL8ycBtvPYs8ey8VUDZcgrb4JSrSBAPBLHZGoSsXDMplE5Cyc4lHV1LE2Z\nR6TcDSmX3O/1I+gLFuV0uAmpyXqtOZT5PMuxk+8FeHiJVJSncszMqBwY24wy5NXu602JWsgr4P5K\nr6kUcyiXvB8ucygzGVaotqVF2x/55S+BCy9U3wZbRVJIojHUCGBRUIqiWFTjpVQq7lACy7sWfnDs\nGEQAh887D0fe+lYMnX8+Ptvbiz+VePzlNIfSzTmU0iHTklYyc3NL8ycBNtvwFj9TIk5zKAHKoywV\n3vtQ8u5Qyk9GJdwc9mraoeRtsiiT2Vk2zft8i1/j4YBXtSgPOZTLgveQVx7naLWQV8D9lV4lh9JQ\nUDrcoZSmdL2Au3/9V+DFF60dlxL5Ouzz+hDyh8rWIhUvygOUvmAMp9P4wsAAvn/aafDK1PG5DQ34\nc4llYx3nUPrdm0Mp/d2lg4YCeg6lw0NeeS/Ko1Zhjiq9loYTHEqtHMrJSeADH7B+XHJqVVAaOpQ8\nXlBlMD3NNpByeNDMVJSnckghrzxFq/PuUGqFvNZCDqVqyKuyKI/DHUppSo/HtUNeR0bsP/BNCAlE\nAotiqRJ5lBV3KFtbSz9cuGH/fvxDVxfWK1yrcxob8cLsLHIlzFZOcygjAffmUEpzQq07lLxcf6Io\nsmtQcahBDmVpOEFQajmUg4PAE09YPy45tSooa82hnJpiU7ocHuZDIScsKcpDbUNKRxDYv1DI/s2x\nHN4dSq2Q11rIoVxSlEcUXZdDKU3pWv5IJsNest33TCJbvA5XIo+yYoJyfp5NLh0dpa2Jj46N4aW5\nOXx+5col32sOBNAZDGJvCX95JzqUbs2h1Ax51XMoHS4oec6hlA40vJ7i2z4eZjmUhDH5PCs65vfz\nuVkxEpRTU8xVsNNR0BKUbt3U12oOpZpDycN6TA5lZZDyY3k7B+beodQIeY2FYjUR8lo0B87NLZ7O\nSrjEodQKeR0dZR9tF5SKdbgSrUMqJiiHh1lVI71r4XeTk7jwpZfwr/v34+HRUbyRSOCTb76J7512\nGiLyRAsZ5zY24s8z5sMA5OszwMeJqIQydwNYyKGstZBXPYfS4SGvPOdQKluGSMQjcXIoTSIdGHg8\n/AtKtaI8k5NMENs5bnIoZbi4yuvUlEHIazoN3HGH5ePK5DJFB7tUlGd5zMwAjY3sPeap0ivvDqVe\nlVc3h7yqCkpl/iTA16ZpGRg5lCMj7KPdgjIpFBfB4yrk9dgx1nclEtF2qx8YGcGZdXWIBwK4d2QE\nb3vpJVze0oK3y+uKKyg1j5Jrh1Il3NDtIa9NTRoOpZqgbGhgLUWW23eGA3jOoczkMqoLWXOkmXIo\nTSLvMxoKsc95woxDCbDNoF3UqqCsRYdSN+R1cBD4z/+0fFxqDiUV5SkdSVDy5lDK24YEg2xN5qkS\nbSavXeXVzSGvqn0otQSlg0NejXIoeRGU1XAoK9Y2RHIop6bU10RRFLFjYgL9mzbh1Gi08DWjErXn\nNjbih0ssLm24zqHMqfehdGvIayoF9PVp5FCqhbx6vWyFmp5eOsk4BK4dypyGQxmO48DEARtG5Dyk\nHpQA+8jL3CIhnY7W16tEBmDxxHR2VtHKx0JqSVBms8zN9vlU5gKpYZlLBaWhQzk+ztaCfH5pT+Iq\nIuQF1AUX15+6IDmUy4FXh1Ie8urxsHk6kymOXLMTtcJ4AHMoD08dtmFE1iB3KEWRvTdLCvIAjg95\nlaZ0LYdS2g/zICgj/kWxxFUO5bFjiyGvaocLL8/PI+L1FsQkAFP9TjbW12N/Mok5k66VIx1Kl4a8\nJpPAqlUaVV7VHEqAv+POElHLoeRFdMibyctpjjRTDqVJlA6l1nv7ne+wHqxW41iHMuBOQal7vUgN\ny6R0Dx7j88pAzaEsWo/Hx9lHi3dWSocy6AvCAw8yOc7CDThHLih5WrLlIa8Af+c0ar2ggdrIoayr\nY9NdYTvvQodSGfKqrFcwMsL+BjwISm5DXoeHWcir1s37q4kJXKo8iTBB0OvFhvp6vGCyS7eaQ8nL\nZKLmULq5D2XJDiXg+NYhXDuUOjmUJCjNIfWgBPT3///yL+oOYTXJ5xcFjF4OJcChoHSpQykXlEvm\nArk7qfoAZ6PlUBbumbEx9rHE1mDlolbLwK3XXzXhNeRV7lAC/J3T6FV5dXsOZTisOFRSVngFHO9Q\nSiGvkQgLvFBq45ERYOVKDgUlT0V5JIdSU1COj+OyZYYxntPQYLowD9chr2oOpcv7UHZ2sk1VQu6k\n15hDycvcqJdDSUV5zGHGoZSK3kgGjFVI1UQ9HmOH0uI9fBG1KiiXXC88n35WAK0cyiUOpQ2CUrmh\np7DX0pFXeeUp5JV7h1Ij5DUWdrdDKQmtonnQxQ4loJ5Hefw4cMop9gvKZNamojy5XA6bN2/Ge9/7\nXs3HSA6lWsjrTDaLF+bmsEW5upiklEqvXIe8qjiUksDM5p1biEYL6cbq7FS4lEYOpYMFpdKh5On6\n08uhpKI85jAjKKWFwmpBKTe86uvVF6zJSSAaJYfSKiSRD5hwKHmzUspEzaFUDXnlQFC6uW1NteA1\n5FXNoeRlDQa0Q15ryaHUFZQucSgB9YC7kRE+BKVyHbYsh/Ib3/gG1q1bp5vzKBXlUTsNemJyEm9t\nbESdRmsQI8oRlLw7lIB78yilG0tVUOo5lA4OeeXeodTIoSSH0hxqglKZIyGFmtopKPUcyt5eciit\nghzK4q8VrcfSDWIynaVSCHlBVVC68fqrJvKQV94dSl72gIB2yGss5O4qr5LBsERQKlPhXORQqvWi\nPH4cOPlkewWlKIqsKE9gcf2pC1gQ8nr06FH88pe/xEc/+lGIOt2wpbYhatfCjmXmT0qcHA4jLYoY\nMjErOM2hBNybRyl3KIvyyebntR1Kh4e8quVQ8rKYaeVQNoQakBASEHKCDaNyFnKB4POxHAllvTCe\nBeXkJBOUXDqUgvs29JRDWfw1bkNeK7CZqjV4dSjVjH+ebiu9Kq+14FAuOVRyuUOpDHnlwaHM5DLw\neXzwexcbfdQFLQh5vfHGG/HlL38ZXp2y3okEu0CampZeC6Io4lcTE7isDEHp8XhM51E60qF0aR6l\nNIF0dZXgUDq8KA/3DqVKqI3X40VTuAlTKY52BZwiFwiAepQiL4JSzfghh9Ja5G1mlqxF8qNswHUh\nr6aqvLa02FOUx0dFecrFKUV5eNoDAtrrsCQo9YwbJ6OaQ6lWlMcFDqVWyGs6zdblFSvsFZTK/Emg\nModqun0oH330UbS3t2Pz5s3o7+/XfNxnP7sNoRBwyy3AsWNb0NS0pfC9fYkEPADWRKOaP2+Gcxsb\nsXNmBle2tek+zokOZSTgzl6U0o21JOTVyKEcGrJkfNWA6yqvGjmUwGKl17Y6/fur1tESlPLzEV4E\npZ5DafXY5NSSoFRWBS4S+fKjbICvyaICTE8bVHkdH2d9pXhwKKkoT8k4JeSVpz0goL0OB3wBBH1B\nJIREUZ9Ut1ArOZSpFKtTACwNeR0dZf2ftWocWIXaGqyVQ9nf36+r/+ToCsqnn34ajzzyCH75y18i\nlUphZmYGH/7wh3HfffcVPe4DH9iGF14Atm0DvvlN4M03F78nuZNmek7qcW5jI+44csTwcdw7lGqC\n0h9xZcirtF/q6gL+/GfZN2rIoeRpMdPK3QAoj9IscscJUDeV7CzKI819aguWILCxdnUBhw5ZOzY5\ntSYoTTuULhOUWkV5Co3Nx8eB886zXFAKOZUcygAV5SkVqcorbyGvvDuUWiGvwGKlV7cKSimHMpUC\nmwSOH2cKS47DHcpkcjEtVLmdHRkBOjq0D3ytQpk/CWi3DdmyZQu2bNlS+PyWW27RfF7dkNfbbrsN\ng4ODOHToELZv346LL754iZgEFluGAEvXxB0TE8tuFyLnnIYGvDA7i5xBOIBSUPr9rMG4HU3GlQg5\n9ZDXsD/s2pBX1SqvLs+hVIa88rKY6S1kVOnVHHLHCdAOeQ2H7XUow2EmIOXznrTBj8Uo5NUqlEV5\nivSi0qHk6fSpTNJpdu1Fivcs8HrZmpzJgN0gfX1cOJRuvf6qCa8hr7w7lHoHu27NoxRFlZBXKYWt\nsbH4wQ4/WNNrG8KToFQNebWibYiElssotQwBiq+FuWwWz87M4OJltguREw8E0BkMYp/Bu6AUlB4P\nP5t6TYcy4E6HUjPk1cih5Gl1KoF8nm2i5MWMeZob9RayeCRODqUJzOZQ2hFWKtcnHg8Lu5FPl1NT\n7PZqaOC0KI8LN/TKtiGGDiUPC1UFkMJd1bYM4TCQnkywCbOjw54cSsU6XImm3rUGryGv3DuUGm1D\nAPdWes1m2Vzg98vWzKEhlkyonCTUeg86CL22IcePs/0wl4KyAnOgaUF54YUX4pFHHlH9ntyhlF8L\nz83OYmNdHRr8upG1ptlQV4dXShSUAD8nVFoOZcTvzhxKechrSVVeHRryKoW7yudHSwTlhRcCR48a\nPiyd03Yom8PNmEw58+9uJTwLSmV1Q2VhnslJdns1NpJDaRUlOZQ8nT6ViVpBHolwGMgML+RONTSQ\nQ+lQJEEZibC1L5Oxe0QM3h1Ko5BXNzqU8rWpSFD29Cx9sMPnQb22IZJDqRZBZCVJYWlRHsv6UBqh\n5VAeTKVwapnFeOScUVeHVxP6L1hNUPJyQqXrULo05DUcZiHyJ06wA2mIomtDXgWhuCAPoL6YDQ4C\nd99doV+azQJ/+hPw6quGDyWHsnzUBKVyIzU/D6xcab+gVOZR8uxQurUoSkk5lLztfMtALX9SIhQC\nhON8Ccq6gDuvv2oiCUqPhy+XkmeHUhRFzWr/AAt5nU5z8oesIPKpzlBQOrwoj5FD2dGhHkFkJVyE\nvGqh5VAOpFJYJb+zy2S9Sx1Kt/ehDAbZwjM2BvYGhULFcaFypDvQgaWzlWIDUD9se+qpCgrKo0fZ\nMdf+/cbj0yhXDrCiPJRDaYxZh/Kkk9gGy8oTSDWHUj5d8uxQhnwh5PI5ZHKc2BwVQl7EyZRDycvO\nt0yMHMrsqH2CUsirFOUJUlGeUhDFxaI8AF+FeXjuQymFW3s96lvvWMidDqV8qitMc0ePajuUDg55\nVbYNUeZQdnay/xetz089ZemeNyEkEPGbK8pTClV1KAdSKfRVWFC+qiMopcRfxzmULg15ld9YhV6U\nevmTAPsBj4efFaAE1BxKtWtvcLCCi+/AAPtoQlCmszptQ8JxTKTIoTRCKSiDQXVBGYuxzZaVmywj\nQcmzQ+nxeFy5qZcXcaqlKq96DmU4DIgn+HIo64P1mBPIoTTL/Dx7H6VsJp4Ci5Qhr7zs/wD9/Elg\nwaF0YQ5lSSGvDncolUV51EJeAcX6/Nd/vbiXswCuHcrhYfUqr4eSyYoKytWRCAbTaSQ1jv0zGTbB\nKc0vXk6o9HIo3RjyKj+VKhTmmZ/XF5SAY1uHmHUoBwcrGB506BBbzc06lFo5lORQmsKsQ1lfz/bL\nVoa9mnUopT28XUEAaosZ4M48tlqt8mrkUOZtFpTKdbguWP5mqpaQu5MA3yGvPN1WemkngHsdSmXI\nayoF/RxKBzuUypDXqanFtVYqygPI1udcjj3Iws1CKX0oS6EignJ+frHvijLktZKCMuD14tRIBPs0\n8ijV3EmAnxOqWqryKorFE3uhMM/cnHb+pARPx50lkMmoO5RVFZQDA8DFF5tzKDUaKgMsh5KK8hhj\npg8lT4JSXpRHcigDAfbPjjVbFEXVcBvA/YKylqq8GuVQYnwcaG3ly6F02bVXTaT8SQmtkNdXXrH+\nkubaodQpyAO4O4dS1aFcsWLpg6VNVDZr2fgqiXxaDwbZ65WmOFWHUtoMTlgXIZbMLi3KEwmwSMm8\nmF/281ZEUHZ1LVa2lDbQ6XweJwQBPSHtm2c5nKET9qolKHk5oaqlPpSSuPIuXGElO5QOFJRSlVc5\nWkV5ZmcrlF936BDw9rezjwZPaJRDSUV5jDHTh1K6xO0WlMqiPJJDCbDNoB1hr0JegNfjVZ0H64P1\nrmvdIG8bQlVeGeEw4J20MYcytzSHkorylIZSUGo5lH/3d8Dvf2/duAC+HUqjkFe3VnmVT3WGIa+A\no11K5bQuBdyl00AiwT4HZIJSisaz2KFUHup6PV5EApGyXMqKCUoJaU08kkphRSgEn0bvyuWiV5jH\nqQ5lZ30nhmaHbBhR9VBubguC0qxD6dCQV7MOpcdToQ39oUPAunXstN+gdYhRDiWFvBrDe8irfP7T\nyqEE7CvMoxXuCrjTJSrJoZQSch1YkEyJ1IdSjXAY8E6M8ZdD6bJrr5qoCUq1M+DDh62dA/N5ZmzJ\n12Gt/d+RI9aNS8Io5LVWHMpsIsMcOcmuU+LgwzXltC61DhkZYR0PJEm0RFBa6FBqrcN1gTr7BaVU\nkAdYDHmtdLirxBnRqHMdSo1y0We2n4k9I3tsGFH1UJ7SFIW8GjmUDg15VXMo/X62P5SiNxIJ9idY\nsaJCYa8DA8CqVcDq1YZhr0Y5lORQGmNWUNbVWS8olfecVg4lYF9hnloWlIYOpdfLHsxLQ78yMAp5\n9U0vOJR1dewGsjC8Taq0Kaetrg0nEicsG4PTMRPyOj/P5j8L98mFiAAzvaDPPNPasQHGIa+1kkMZ\nmhhm6kqr2r88d85haDmU8nBXQJaSYpNDqbYORwPRsnLJq+ZQVrpliISjHcqcukO5vn09Xj3xalmx\ny7yhPKUpCnk1cigdXJRH6VB6PMXX3+AgE5PxeAUEZToNjI6ysBETglIvhzISYG+W20KvKw3vDqWZ\nKq8AOZRWIc+5XbKxVU6Sqg9yJkYhr4GZBUHp8SxN9q0ieTGPnJiD3+sv+npzpBkz6RnXta2pFmZC\nXgcH2Uc750BAfY5OpdhrsHqbQVVe2cfIhE64q/Qgh86DymtQah0i9aCUsNOhTApLcyiB8luHVNyh\nlK6DQ1VyKFdFIjghCJhVOdF0qkMZj8QRD8dxaPKQDaOqDmohr7XoUALFc+PgIOtRGItVQFAODrJJ\n2e8371DqLGbkUhrjJEFZX1+8TyeH0nrkObdLrhXlUbb0IB4WqzIxahsSlAQlYGnYq5Q/6VGk4ng9\nXrTXtWN0ftSScTgdMw7l4cPso9VzoLJsh5o2kfbuVlemNazyGo65MuRVmUNZN2UgKB3sUCrPCeUO\npVThFVAIynDYWocyqx3yypVDKUXtHJivjqD0eTxYE41ir0qlV6c6lABwZseZeHn0ZYtHVD2Um9tC\nH8oacyiB4j2iXFCWrZkPHWLhrkDZDiVAlV7NYEZQ8lKUR9WhDMwBn/2sbUV5alFQluxQ8rBYlYme\nQxkKAcE5ewSl3oa+s74Tx+eOWzIOp6PWNkS5nh05wi5nq0NezTiU0rxstaA0U+XVrSGvckHZMKNR\n4VXCoQ5lNsvyeP2yAAh5DqWmQ3nyyZbnUEpRaXLqghzkUMoFJcCuhUPJ6ghKQDvs1akOJQBsaN+A\nl0fcIyiVh++xGNtcZSbJoayYQ3noENDXx/5fZg4lQA6lGYwEpSjal0OpJyhFkd1STeMHgK9+FbGo\nQCGvFiC/XgIBVoi5UIxZLT7PoRspJXoOZTSYRTA9W2yXWygotQ51O+o6MDI3Ysk4nI6ZkNcjR1ie\nIo8OpTQmqw/VDKu8hmKuDXmV51A2zLjToZRepzwAQvJHNENeJybY/o2XHEqeQl4B9gc9kk5hlZq6\nqwBarUOc7lDuGXVPYR7l4bvHw+z+xKhJh9KBglLLoVTmUPb2VqgRtFSQBwBOOQU4cIAdj2mgV+UV\noEqvZpC3gQCWCspMhl3rwSArvMuLoJyfZ2MNTI4C2SxW5Q+QQ2kB8hxKj0dxvagtWCq737vvBv7P\n/6n+WCuJnkMZxyRSodhiQQ5yKB2H2ZDXTZusnQPNOpS8hrzWBeuQzCaRy1eipxg/KB3Kpvmjrsyh\nVMtikHIodUNeV6/mpsorVyGvABBsyGEyJ6BLza6pAK50KDvc5VCqHb53dgLJMZMOpQNDXs04lEeO\nVMmhbGhgK/zwsObDjXIo45E4OZQGGDmU8hRhHhxKKYeykD85ynLEViZfI4fSApR9S4sON01WENm9\nG3jjjeqOs5KI4lLBISeWHUci0rL4hYYGy4ry6G3oO+o6MDJPDqUZzDqUZ51lbchrqQ4lbyGvXo8X\nDcEG14W9KnMo4wkTDiUPm/YSUZvSTYW8nnKKpZsFrovytLQUf+7vSaPTF4a3wj0oJUoVlE5wKE9v\nOR2Hpw+7psqm2klNZyeQmTDhUGqFvB49aml5+VKxPIdS7lAChmGvRjmUzeFmyqE0wEhQSvmTgP2C\nsr5+0aEsVHhdEJQ9M/vIobQAteulsE9SmyRVdr+HDgEnHNTRYm6OrcN+v/r3m3LjmA+3Ln7ByqI8\neYEcygpgpg/l4cPA5s18OpQVF5Q//CHw0EPG4zMIeQXcmUepdCibkyaqvDo45FWOYcirlEM5PS3L\nh6guXPeh9CqexdOZQheqkz8JACeFQpjL5TAhCEVfd7JDGfAFcGrzqdh7Yq/Fo6oOaic1XV2AMGXC\nodQqyrN1K/DrX1dukBXGyKEUxSrkUJYgKI3CbcihNEZNIMjbBsodyujCfK1SP6wqKBczechrkUN5\n8snomOTToZzN2DCoKiIPeQVUHEoTIa8DA4VzAEeglz8JADFhDLNBhUPJQchrRz05lGZRCkrpLZQy\nLnI54NgxlkM5M2PZPtl0WvLEBPCU/yKkTlTourv7buCppwwflsllEPTqR+65sdKrfKoLh0S0po+5\n0qFcdshrWxu7iSyyzBNCAhH/UrHERR9KJWJHCh1i9QSlx+NRzaN0skMJLIS9uqTSq9peqbMTyM8u\n06EUReDVV9nuilOUYkNCuv6kuSJWl0Unjpc3dyQS7AnlM5SRQ2kQbtMcaaYcSgOU73EwuDTkVX55\nW+lS6uVQFjmUF16I5tHXuHMo26JtrmvboAx5NXQoFXaKKDrPodTLnwSAhsw4ZmwUlFqHuuRQmkcp\nKH0+dpAmvY3Hj7NQv2iUPc6qkgjKHHdA3VCYGMvjbdnfI3j0YPm/dGoK2LlzsU+K3viy5FBGUxNI\ne8P6+0CXOZTDw+zlyOfFIkEZj7MbxqLNgm4Opd0hr0py7Um0ZqsnKAHgjGh0Sdirkx1KADiz/Uzs\nGXFHYR6tHEpTfShjMbZiyQvMDA2x1crEpG0XgqBdlCeVWizI43nyd3jb9/62PEF5+DB7Mnl4QLkO\nZZjahhhRSg4lYK2gVOoTTYfyggvQcOw1zM6I1gxMhp6g7Gvqw8DUgLUDqjLK66VUh1LKPxsf1623\nxS9I91MAACAASURBVBVGDmVdehwzfg4dSqryahpl2xCgOI1DWp4Aew/VAHVDITE6By9EREYHyv+l\nv/sdi2U8csTwoemc/qEu4M5Kr/K1qX7qKEb8Ou4k4KqiPM3NzK3v6Ciu/rpEULa0WJZwrCkogxwU\n5VEiNKfQnKmuoFxPDiXXqN1YXV2ANzlvLCil4065hbJ3IRSYY0Gp51BKgvKkkwCMjSE6PVzeqa28\nII+EiRxKvdNRahtizHIE5diYNWNTy6GUap0UHMoTJ4A1a4BgCIFx690YPUHZ09iD0flRpLMcTNYV\nQjOHUkrXUCYaKjZShw6x27qhwTl1yqanDQRlahxTPnsEpZCjHMpKoFZ0SV6Y58iRRUFpofGiWpRH\nzVDInGADbRgbKP+X/va3wPXXm9qbGB3qAu51KKW9eWRiCMe9BoLS4W1D5EiupDx/EmCCMjmXY3Nf\nLGbpjZLMahTlqXYOZSqVwrnnnotNmzZh3bp1+NznPmf4pKl4CvF09QVlKQ5lw/gA8OCDVR2TEYYO\nZYe7HEo16z+UmTMOeZUeLFdc+/axGuQmTgHtQsuhlBY0qcIrpqcRnD5RnkOpzJ8EWKWw/ftZnJwK\nZnIoyaHUp5SiPAA/Ia9FDmV7OzKnrEH7+D5rBiZDT1D6vX70NPRgcGbQ4lFVD80cSrUJElhyQUl1\nt9rbnZNHaRTyGk2MY8LLn0PZFG5CMptEKus8Z8RqtASltGQfOQKsXMn+b6HxolqUR81QyI6xgTZN\nD5T/S3/zG+Dqq9niYJBHYCbkNRZyZw6l9L6EJ4ZwzFM7DqXPx+4VNUHpm51i3/R6LbtRhJwAURRV\ntUjV+1CGw2E8+eST2LVrF/bs2YMnn3wSf/zjH3V/JtmYQuN8lUNeFwSlKNs8a63R4TBw2tCTwF13\nVXVMRhg5lD0NPRBygivyiNRCT+rqgHDWRMgrsLR1yN69wKWXusOhnJqCb2ocM1NlxLApK7wCC4o9\npLnzzOQyhjmU5FDqY9SH0s6QV+U9FwyyMElBUORQtrdDPG0NumdeK/+X3nQTsGuX6YfPZ+Y1BSXg\nvrBXzRxKtZ0HoOpQ9vWxmg1OyaM0CnkNJ8YxARtzKDXWYI/HQ2GvJshk2Jyi3Gtphbza7VAGg2zM\n8pBxcYoJtta5gfJ+4YEDrJ7B+vVMQRsceJsJeXWrQ1mo8npiCEfhXodSbVqPx4vLXQBsnxCcXwh3\nBSy7UfQOdS1pGxJdKFeYyWSQy+XQ3Nys+dhELgchmEMwUZ0elBKdwSBEAMdlJRb1HMrGuSHrmw4p\nMHIoPR4Pzuw40xX9KDUFZd5EUR5gaWGeffuAt7+d3XA8xC+roJdDmU4XC0pPPg/fdBniTS3kFdAN\ne01n9duGxMNxKspjgJmQVzuK8kjddOQRlB7Poks5OQm0RuZZucX6evjOWIOTEmUKysFB4OtfL6ny\nciKrvZgBTFAemjxU3rg4QjOHUu/0UyYo3ehQhufGMW6joNSbA6nSqzGzs8xUUXaF0wp5tfJQTc2h\n9HiKq3GLIuCZnkK2pR2dqYHyfuFvfwu8853sl/T2GgpKMyGvsbC7cygDJ4ZwNO9Oh1JrWm9uVnco\nQwmZoLTIodQVlAELcijz+Tw2bdqEjo4OXHTRRVi3bp3mYw+nUmhIhJBJVacHpYTH48Gm+nrsljVE\n1suhjM8ftV9QGjiUgHsK86gdwNdFRUTzJYS8Sg6lVOF1/Xqgu5v1o+SQUhxKAIhlTkDR+cY8ag4l\noCsoM7mMbrhNPBLHVGoKedEh1T9sgNeiPFono5KgnJoC2j0nmDLxeBDcuBanZF7Tio42x3//N0uM\nfuEF0z+it5gBwKqmVa5yKJUhr4YOpeKCkjuUThGURg5lcHYcJ/J8CkrKozRGLdwVKD4DPnzYnpBX\nrXlQnkc5Pw80+6YhbtiIHmGgvF/4298Cl1zC/m/GoazhKq/S3tx/fAgD2RX6P+BQh1JrWo/HlwrK\nSASIpichxhcMOos2C1r5kwBzKMvJodRoPVyM1+vFrl27MD09jXe9613o7+/Hli1bCt/ftm1b4f/h\nzZvRlO6z5FrYVF+PXXNzuLSFLU56DmUwOQRk+XYoAVaY59mjz1o0ouqhdlJTH0gjCz98ajaeEvnq\ndOIEE5UdHWzSPnyY5Qtyhtkqr9LrWhk9genptWhtXfozhpToUObyOeTFPHwen+ZT+r1+RANRzKZn\nEQvr7AhrGDOCUjpwBNga8dJL1R+X1kZKKswzOQm05lm4KwD4zliDNZ7XluR8miabZSkEX/0q8PnP\nm/4xI0HZ19SHHQd2LGNAfKIMeS3VoZRSpdvbnRPyOj2tftYlEZgZx2hEJijl/SaqjJDXLsoDUKVX\nM0gOpRJ5yKuyKM9ei9prq7UNAYrzKMfHga7oNPynnYLAk08jNz4FX4uOpa5FNssqvN55J/u8t9cw\nJcd0lVcX51B6h4/icLaHOcVavpPLHMpTTwVOO634a14v0BGcRLYxjgDAbhSbHUq1HMr+/n709/eb\nem5TglIiFovh3e9+N55//nlNQfmdoSHEn5yz5FrYVF+Px2SKXs+hjKaGgIQzHMofvPADi0ZUPVRD\nXsU5TKMeQb2JRELuUO7bB6xbtxhWwmkepZZDGQqxl3L0KLBiBdiqG42iN8IK85QsKGdm2OrY1rb0\ne6tXA489tnRsC+6kx+APL+VRkqBUx0xRnpNOWvycF4dychKIC4uCEr29aBXHMH18DvWrl6EoH32U\nHe5cdRXwv/4Xu6b14hwXMCMo3eRQalZ51cuhXCgLLIpsqpMcytcqkPJqBboOpSjCPz2O0Vb++lAC\n5FCaYWZmacsQgN3+x4+zA4Vslu2PAevzyNXWU7lDOT4OdIan4Ik34Yi3Dyv2HkbjBcsQlM8/z/Yj\nUnJcby+wQ/8wrJarvErTnWdoCCP+HgiC+n4JgOscyu99T/3xHcFJCPULgtKiGyUhJBAJqAglqIe8\nbtmypUjv3XLLLZrPbRjyOjY2hqmFY6dkMonf/va32Lx5s+bjB1IptGbDllwLmxccSgk9h7I9c5Tt\n/GzMvzPjUK5vX499Y/uQy+csGlV1ULux/Ol5zKPO3Fsgdyj37gXWrmX/NxFWYhd6DuXRo+wgPhoF\nW3FXr0ZPaJmVXgcG2C5TTRyuXs0KBShI5/TzJyWo0qs+vOZQap2MykNeG9MnFg8hfD4cDp6K1O7X\nl/cLv/994B/+gZWw27DBdGEew5DX+KrazqGUXVAjI+z9q693nkOpebYwOwsxGMSMvK2Y1SGvXgOH\nknIodTEKeZXcSWl5sjrk1cihnJgA2oKst81wsA+p1waW98uk/EkJKXpKB6PWXcBCDqXLHMrCfjCZ\nBObmMBtq1d8Husyh1KLNP4lMtIaK8gwPD+Piiy/Gpk2bcO655+K9730v3v72t2s+fiCVQkc+Ysm1\ncHo0iiPpNOZzTHxpOpSeNBpyU+wNq1Ae5f/+34sl+c0giiKy+ayhQ9kQakBHXQcOTC4VBU5C1TGZ\nm0PSW2/u7yZvG7J3L3MoAVOTtl3o5VC++abMuZqaAk49FV2+E8vrRakV7gpohrwaVXiViIfjVOlV\ng1yOVQr0yaKGecmh1DoZlTuU9QmZQwngSN0a5PYuw/YaGACeew7YupV9ftZZwIsvmvpRI0HZVd+F\n8eS4a1o3lJxDKdtISedGgLOK8ug6lOPjyMdbivcHlEPpKLQEZSzGtlfycFfA2iqvakV5gKUOZYuP\nRVSMRvsg7B9Y3i/7zW8W8ycBU0V50tnarfIaiQA4dgzo6kIw7NXXCJHIEkGZTDJTmGe0pnUt2nwT\nSEb4KspT1T6UZ555Jl588cVC25B/+7d/0338oVQKnZ6wJYIy4PViXTSKlxdcSi1BGZ06hlFfFxMp\nFRCUySRw++2lhSBl81n4PD7DkEOA5VE6vTCP6knN/DxSvjpzglLeNkQKeQW4DnnVcyiXCMrVq9Hu\nKcOh1EpSamlhwfnDw0VfNqrwKtEcaaZKrxpIITryW9gKQTkwAAwN6T9GL4dyaop9PzhVLCiPNa6F\n941lCMof/hC47rrFG/wv/qJigtLn9eGkxpNwZJrPKIRSEMXyqrzKW806qW2IrkM5Pg40txS7E+Ew\nO62RVWyvFkLOIIeSqrwaYsahlAryAHw6lE1e5lBONPZBHFjGfmJmhkVlXHDB4td6eljMr06lPVNV\nXkMxTKWWc9LML4X1aWgI6OlZsm4uIRxeEvL6xBMsKIZntNZhLZq9k0iGrHUok4J2UZ5oIFr9Kq+l\nMJBKodtrTcgrsFiYB9AWlBGpkWosZth41gyvv86cioMHzf+MmXBXiTPazsDeExZlsVcJLYcy7a+D\nLEpZm2qHvCYSbMdWQfRyKKenZae2Cw5lqzi6PEEp32kq8XiAzZuXVIIxqvAqQQ6lNmoFH9RyKOWC\nsqmJmS9SW4/l8LWvMQ2nh14O5dAQG4fnRLGgHGtdg+CBEgWlIAB33w18/OOLX6ugQwm4p3VINsva\nuHhlq2wpVV7l50Zucig9rQqH0uOxzKUkh7J89BzKqaniHpRA5aI0pqbY2bIeZh3KmMgE5VRTH/yD\nA6UPpr8fOO+84g1nIMAKBx47pj0+EyGvvbFeHJ87XpZTxBuF9WmhkIQpQalwpY4e5bbAf4FSQ17j\nmMR8cEFQxmJsA7Hs0v/mSAgJRPzqgwz7wxDyArL55W1YKioo57JZzOdyaA8ELAt/NiMoQyeO4ihW\nsFmwAg7lq6+yj6XoETMFeSTWtK7Ba2MOqcCggep+aW4O6WCD+ZDXyUm2iszOLtp7vb2sXGq+zNYW\n993HiolUkExG26EEFl5CKsWsi95eNGeX6VDqhbwCqoLSbA5lc6SZcig1UDswkPqbSe03lA6lz8fW\nicky/qTHjxtvyPQE5dGjC47RaLGgnGhfg7ojBjs0Jf/v/7FyddIBD8CiBwYGTOUAmBGUbmkdona9\nlOpQSrd5SwubCnMOSK2fnjYQlG0tS/cHFgpKvYNdqvJqjJ5DqRby2tDALulyDejbbgNuvln/MVrz\noLLKa32Ohbwm2vsQHB4ofTAvv8wiM5QYpOSYiRQK+UNY374eLxwz346JZyR95PfDvEOpUpTn6FG2\nhHHahhxA6SGvsfwkZgML1au83uJilFVCbw32eDxY1bQK+06UuC9YoKKC8mg6jRWhEKIRD1cOZfDE\nEAZzPYtB/mWydy/bl5UkKEtwKN0gKFX3S7OzSIdMCkrJody3D1izZjHOMBJhq9lImYv+008z0VVW\nI75itKqWFQlKKR6srQ2NmWXmUI6MLFaWU0PFMTKbQ9lW14ajM5wfA9qEmkDweplolBxIZVEeoPwT\n+nIF5dDQQisThaCc7zkN9SP7S7NPf/Ur4Oqri78WCABnnAHs3q37o3kxj3Q2jbBff8V1S6VXZf4k\nIHNK9Ha+shxKyaH0+di0YVUu2nIRBPa6NVsNj4/D29oCj0dx2XHiUDaGGiHkBVe5Q5Vmdla7yqvk\nUMpDXj2e8jsipFIsMMLo+tdqGyJ3KCcmgKjATj1SnX2Ijg6UPiDli5QwyKM0uw6f13OeK9rHAYq9\n4IKglAt8VVQcysHBxafglVIdysbcJGZ8sj5jFrQOMTrUfefJ78RvDvxmWc9dUUF5PJNBVzBoaYGm\nDfX1eGV+HpmsiGxWfUPvGz6KQXEF8o2VEZSvvgq8+93VcyhPbz0dr4+/7ugG86r7pdlZCKEGcyGv\n0kmNvCCPRCXCXp9+mjkqFawYa8qhlOLB2tpQn1ymQ6lrAUDdoTSZQ/nXp/81fvbqz1xTFKWSaIU0\nB4OLi6PSoQTKF5QjIxV0KGWtZiItUczXdzLlYpbh4eK+KBImwl6TQhJhfxhej/6y09fUh0NTzg95\nVfagBGROiV5J8oWLSRmI4IQ8Smlq0iwVMD4OtLQs3SNYJCiN+lB6PB5yKQ0wKsqjDHkFyp8DH36Y\nzWXLnQeVDmU4yRxKf0cLvNlM6ftCLUFpsDcxE/IKAOetOA/PDrlHUBbekzIdSq+X77DXUh3Khuwk\npjyKxtVVPjVMZrVzKAHgklMuwW8OciIoOy0WlI1+PzqDQbwylUA4rL6QeY4NYTTQg1x95QTle95T\nPYeyMdSIeDiOwenBZY7QfrQEZTZissqr3KFUE5TlFOYZHWW93i6+2HS7AzOYciilfn2trYgmxjA9\ntQyH1EhQnnoq23nK7E8zxQAA4NSWU3FW11n42as/K31cLkcvR7aagvL4ceNDS72iPEePAvEmkV0T\nMkHZ0AAcb15bWnWxkRGWJ6TEhKCcF+YNw10B9ziUWiGvZhzKfJ6dyMv3rE7Io9QtyAOweddGQWlm\nHqQ8Sn20BGUoxDb8IyOsPo2ccuuNfPe7wGc/a05QmnEoA0m2hsaaPJhsXMZ+Qll5SMKgaKDZdfi8\nFe5yKAtT3bFjQHf3snIoBwdZhyqeBWWpDmVdZhKT4MuhvGjVRXh68OllmQoVFZQjgoCOYNDynqSb\n6uvx7Pjcko1cgaNHMRpcgWy0fEGZTLIL+h3vYPOG2VS+UhxKwPlhr1o5lPmoyZDXaJTFRL30UnG+\nFlB+pddnn2UJ9WedtcTJKwcthzIUYgcdPT1YFJShEHLBKLJjy4h5NRKUXu+S3oBmT0YB4JNv+STu\nfO7O0sflcowEpSiyWk+VDHlNpdjbXY5DeewY0BWdZiud7EGNjcBQwxrLBOVsehaNIZWdqIJVcXfk\nUGqFvOo6lAsbqWPHWJCG/CFtbfwLSt2CPEDBoVyyoWxogLnQlfLI5DKG6zBVetVHS1ACQFfjPHo6\nskvWwXIqve7Zw/Tbhz/MnkMvS0WrKI/coZweE+AVWFx2LAaciPaVFqUhiksTRSUMQl7NtA0B2KGa\nkBNckX5StBecngbi8SKBr4pCRIgi23efd95i6CuPlORQZrMICvOYzMluJgscSr2iPADQFG7Cho4N\n+OORP5b83I53KAEmKHeOz6G7W+MBQ0OYiPRAkAnKfH55lRdffx045RQ2ocbjugW9iijFoQScLyi1\ncijzdSZDXj0eJrx27qx8yOvTTwNvfSsLDbXIoezqWhCbkqAEIMTbgLESY9gEgf1xNU9PFlBs8M2e\njALA5adejpG5ETx/jPOmTxZjJCiTSfZ/eZ9KoLw1YnSU7bXNCEo1fVJXxwq5rAgW508C7HkPR9YY\nl06UEBdcTjVBeeaZwBtv6E78M+kZNIRUkq8UdNZ3Yio1haRg4alkFdAKedV1KBcuJrVCzu3tzgh5\n1XUox8eB1la+Hco6cij10BOUd81fjb+PLo1uKceh/O53gY99jM1lgYD+uYNe2xDpehPGpiE2srjs\nxkZgONRXmqAcG2O/RC2R1Kgoj8mDXY/H4xqXsmhtmpkBGhqMHcpgkG3QF6qQTUywP/natfw7lKYF\n5dQUMuFGzCdlMowDhxJYfh5lVQSlSk/SqrKpvh57EhqCMp8HhocxGelGJrIoKO+8E/jnfy79d736\nKqs/AbAF32zYa6kO5drWtdg3trxKS3YjihrJ8bOzEOtNOpQA25kIwtKdVbkhr888wwTlpk0VdyjV\nBMeaNcBDDy18IhOU+eY2+CdK3CFKq7lRP1NFHqXZk1GA9QL8xNmfIJdSgZGgVCvIA5QnKI8fZxHM\niYR+NXE9hxIAOr1LBWVjI3DAdzo7JTPD5CSLHNDasZ12Gqt+qMFsxpxD6fV40RvrdbxLqVUV2IxD\nqdZq1k0OJc+CsqOecij10BSUU1P4y8SvcXL90ot0uXPg7Czw058CH/2ouefRaxuSTi9ElE1Pw9PE\nLtJYDBj095UmKLXCXYFFh1LDRi3lYNdNgrLwnszOAo2NxoLS4yk6BVjoNoIVK/h2KEsKeZ2cRDoa\nL94PW+RQGgnKS065xH5BOZLJoGPBobQ65HU/5tDVrXITj44CTU3wRkJIhxcF5dNPA489VnqRz717\nlykoa8ihlEI/vcqra3YWngaTOZQAs4BPP32p5WMm5DWTAb7xjaVfFwTm3J17LrOaJycrdiIkCOoh\nrz4fcP75C5/Ij/Db2hCaKVFQGloACygEZSkLGQB8ZPNH8H/3/V+MJzgvK2khehUEJUGpZhyXs0ZI\nBX3jcf3LVCvURhpPOzQcSrHX/Ap9/Li6OylhEPY6m55FQ9DYoQTcEfZaTg6lWmcg1ziUWiGvHBTl\nASiH0ghNQfmLXyAgCuiOLk3jWG7I649/zEodSGaB0VxqVDx5ehroikzBE1sUlANiX2mCUq3qkERj\nI9sEaLzYUg52XScoRdG8QwkUCcrBQVaDYsUKvh3KkkJeJyeRqW8u3g+Xm2xsAqOiPABwTs85ODx9\nuOSDNVeEvPaEQsiKIhr7VBodyRupygTlCy+wyAWzh/PjggBRFPHqq4sRmCefrC4oRzIZ/MPrryMl\naxpWSzmUmjfV3By8MZMhrwDbmSjDXQFzIa/79gGf/vRSB3L3brZTi8VUcw3LQcvBKkJ2hO/rakdk\nbhmCUtcCWOCMM4CDB5m1hdJyKAHWPuSK06/A3S/dXdr4XIwZh7LSgvL4cSYol7uRkhzK5qy6Q3kw\n3cMqt5ppcKiVPymhFJS5HPCHPxQ+NRvyCgB9MecX5llWDuXCA1zlUAoC8PzzwNe/zq4hmx1Ko4Pd\njjrKodRDq20IHn4YB+NnoS24VFAuZ58sisB3vgN84hOLXzPjUOod+o2PAysaFk89YjFgf7avdEGp\n5VAC6nmUW7YAu3aVtA6f3X02dh3fBSFX3Ub31aYw1SWTbEIMBIzbhgBFeZSSQ3nSSXwLSk2H8siR\npS7b5CRyDSoOpQUhr5GAvo3q9/pxUd9FePzg4yU9d9VCXq10KD0eD+Lj9RBWqigVWd+bZJAJyulp\nlvt49dXAb3+r/9x5UcTXBgfR8/TT+N+HDi1xKA8eXPozdw4N4Sejo/jEm29CXLBAS3Uouxu6kRAS\nmEw6r8m85k01OwtvrISQ13h8aUEegK1OgsBOu7R44w0WNvH97xd/XQp3ldi0qWKCUsuhLEIW8hro\nbkM0USVBGQyyWNuFEMRMLoOg17xDCbDiPN99/rvI5R3QTd0CjATl/Hx1HMqODuMNmZGgjAvFLUMA\nJign5kPsyY+bcGRKEZTPPAO85S3AX/1VYbM2m5lFY9A45BVwR+uQZeVQusChLJqePvUpdn1dfz0r\n/rR9OxCLcR3ySg6lNqKoIShnZ4Enn0T9P16HNZ3qDmWpc+CuXWwfefHFxc+jt982cignJoDuusWL\nNBYDXkv1VS7kFViakvPCC8Dvfw8cOFBSpFBjqBGr4quwZ2SP+bFxSOE9kVnby3Uo29tZUFk6DRa/\nnFExkWxE00z59KeBBx4o/trkJHIx60Ne/z973x3eZnm1f2tZsi1ZHpK3ncR24mw7CRlAyAACYQbK\n3quFbigd9NeWQj/69WspLQUKpdBCSwsUKBTKKDsDkpDtJM7wSBzvbUnWnu/vj6NXeiW9U7YTh3Jf\nF1cbLWs87/Oc+9z3OccVcCFbJzQoOI41VWsUjw8ZN0IZYRgMBoMojGYfjqdCCQD6TiMcVh5CyVEo\nPToilHv2kDC1dq04oWz3+XDW3r14dXAQG+rr8Xz/AI5V96Omhu7ns7z6IxE81dOD9XV12OV04vfR\nKaxKFUqVSnXSqpSChclOJ3R5CiyvN9wAXHZZ6u0qlbTttaUFuP564OWXEwOVrVs5/lOMa2Me2Qpl\nlFBqS6ywMoPKrhW5hBJIsL0GwgFFCiVAtof8zHy8d+Q9Rc/7vOJE1FCyltexKpRG7yCv5XV0FPLT\nvuybEUJdHRWZ33orcPnlwPe+R5vs3r0AopZXuQrl52B0iFANpc8H4cgj+oCTWaFMsLy++ioF1Pv3\nA08+CaxbByBxjAOASUUov+jyKgy3m5atVpt0x9tvA8uXo3DJVOg942N5PXgQOOWUxHYBUok1OQpl\nscGeoFC2OS10p1iCmgsxyyuQqlA+9RSQkYFwXy8AUn/kYlnZyW97TSCU0UyEbEKZpFBqNNTgsKcH\nwN/+Btxxx4S+d6UQFFOGh6ldMRc2G5Cbl2p5nWCF0uFzwGyQjiHZOkpGQV3guBHK4WAQZo0GOrUa\nOl36XVTTRaTZiL5scYWSJZS7dgGLFgFnnUWJI75mF/8eGsIpu3ZhbX4+Ni5YgGVmMx7MmIvI11ux\nx0sbDx+h/MfAAOqMRpySk4PX587Fz9vbsd5mU6xQAiev7VXM8qrLV6BQXnBBXA5OhpTttbmZbCar\nVgEvvBC/ne3wymIcG/MoVShhtaJUN6hsko1SQhlVjPwhv6IaSoCSGpfOvBTr29Yret7nFSfK8lpU\nlH5mniWU2W5+y2uMUMqpo5RSKLOzgeXLyVlw6BBw7bV0fUUJ5ah/9L+qhpLP8hqzeglFHlotGJUK\n/d0hmlvLwUmpUDocqUMJgVTL2/GqoQzLr6FUEkj9t0CwfvLVVyn5y86PTkI6ltejR6msiAuxvTQU\norgzhewiUaG0ZsQXqckEOF0qMFOnym/0J2V55SqULhd15LvxRoT7e2XXT7JYWr4U27q3KXrOZEMs\nHow25AF4Ekp84HT3ZBVKgNOYZ/t2ZcPgJxiRiHBCA3Y7P6HMy0ssATsOCqXD74BZLx1DVudXI0uX\nhcaBRtmvPW6EkrW7AikNmo4LXHuMOKISUCijhNKtTSSUFgtQU0NjCZPx0yPH8Mz0mbinshKaaIos\n1GTEsk9rcWljI7p8PpSXU8aYPRgZhsEjXV24s7wcAFCVmYnnZ83CNQcPossfUqRQAicvoRSzvOry\nFdRQikGq02tzM3WdvOMOsr0yDKW1nE66ncWcOUBr67gsVqUKJaxWFGsGJo5QcuZsBsIBxYcZANQV\n12Fv/17Fz/s8Il1CabVSvbbcmbVcsBwuXYWSfT96RyqhNBqpxJYpk9k6T6opDwC8/z7wm9/Eo866\nurhCKbPLK/D5USiTgwtJhRIAozegstCXstby8+nyF+v2e6KRoFAGg/QlZKU2gJjMlldjBl001e/m\nvAAAIABJREFUrsDEz8U82cBLKD0euu7XrRMklOnEyUoJJdvhla8BOlehtGjjhb46Hd0XLp8q3/Yq\nZXnlKpT/+AfZ/uvrEenrU5zU/Tw05onFg+kolEldXgFOY56GBvlz+44DWDLJ24DfbieXBjdJZbNB\nXXBiFMpcg4zGjgDOqVLW7XVCCCVwfAllMAg4DmWiO+RLzSp2d8csr24mCwgGsXdnEIsW0d1r1qTa\nXkf8Ieyze7Dl93kJtx84AKzJsuCbZWVY19gIL0IoL4/vHZ86HHCFw1ibnx97ztn5+fhORQWedOjS\nUihPxtEhYpZXvUWBQikGKctrczPNW1izhi7mHTvi9ZPcK95goMc1ys/CCEGWQsklhFayvPKcv/Ke\nL4X588k3FAzCH1auUAJAXdEXhJJFujWUej39ZOmoS+NheVWpAK0tlVCq1RTr+wvHSaHkA0ehVGJ5\nLcougivgOqmDeqEur6IKJYCQ1oDpFamHp1pN62BoaALe7DghgVA6HIIjjk6k5VVOYrfYWPyF7ZUH\nvITy3XepXtpiESWUIyPKuuqnQyh51SHE49HhYSBPndiK2GwGfCVT5RFKt5syh0n16AnguqeefpqG\naBYWAgP9istOZllmod/df1J3W4+dTUkKpdymPAyTSCgrKoCujggpfj09ykc1TBBER4awhZ9cAjwy\nAq01iVAajXRwSH456YFhGIz6R2Unds+pPgcfHJVoNMPBuBFKdmQIi+M5i7K/HyjM1UCrUsGd3K2Q\no1D6AypETDlwdjlivV74COUv33Qgqz0HTz2uho3TE4edQfnDykosycnBmr17UT4rGGvM82h3N75V\nVgZ10gF6Xn4++kIqxQrlLMusk1ahTAluIxHA40GWNXt8CKWY5XV4mNhdYSFFYbffTiplckMeFuNU\nR5mOQpkfmUDLq9FIu++hQ2nVUAJAeU45guHgF00qkL5CCZDrL1pOrQhcy2s6hFKno1yKejCVUAIU\nx3sKJpBQTp9OXWRHRzEakG95ValUmJI7Be32McybPcFIq4YSQEijR5mFP6CY7LbXhCUiMkPkRFle\n5TZFKcou+mLP4wEvofznP6lmGhAklJmZlFeINh2XBT5CKSbgiA2VZ6+7kREgB4lnqNkMuC1T5RHK\njg46U1NmonHAJrtZBW3t2iihHFTsEtKoNVhcuviktr2OtSnPyAg9nj1by8sB74GjtBhUKvm1rxMM\nwS09FKKFv2RJ4pxmmw26wiRCqVJNqErpDrqh1+pli1urpq7Cpx2fym7MOKEK5fHq9NrTQ3OKLDod\nBrl+IIZJUCh9PhodsqTWEfPZn346iVPsHhgMAk9vd+DyGWasW0edzlmwHV5VKhWemD4dp5rNaLy1\nAXs7Aujw+fCxzYabeZpWWHQ6jEZUihXK6vxqdDg64A9NTLZiosB7YbndQFYWsk3qibe8trSQrZUl\n9rfcQjUe77+f2JCHxTjUUTJMejWUucFBOOwKMmxKCCUQa8yTTg0lQGu9rrgOe/u+UCnlzKHka8oD\n0P6klFB6vbRn5ebKI5RC2dFF9WHKkBYUpNyXkwOMmsepKQ8fNBraNPfvh9Mv3/IKnPy217RqKAEE\nNQYUGDnZ2EgkNtZlsjfmSXBFi+xVJ8ryKmcOJRBVKBXOYPtvQEqHV58PeOcd4JJL6N85ObQR8owh\nUmJ79flonbOqlJzXkFIoWcurKWxPIZT2vKnyCaWY3RWgPdJmA37/e+C222gPLCyEenAwrTN4adlS\nbOs6eQllLB5UanmNKpRcdRIgPm9o2kvlFKWlk8b2Krils06NurrEOkqbDRnF+akCywTWUTp88uon\nWeRl5qEwuxBHbEdkPX7CCOXxVCi5hHKISygdDiIVOTmxDcWpMuOUGXFJyGAgjrE+2nfkuecAZp4d\nN9bl4sc/Bh5/nDiAz0dJfLbDq0qlwm+rqzHfbcGvShpw37FjuLG4GCaeivACnQ4uRg2tQoUyQ5OB\nKblT0DrSqvg7OZHgvbCiJ1F2Nibe8srWT7IoKgLOPZck5sWLUx8/DqNDQiFqBsDrn2fBWhlY1pGZ\nibBaB0+/cCA1PAw88ADn7SkllNE6ynRrKIEvbK8sxBTKQEBaoVR67rFqj0olfcaIDlQeHqZGORpN\nyl0mE2A3yVAoGYYiPB6VUxLROkpnQL7lFaBZlCfz6BC+GkqdjvYKRuQHC6gNKMjiHJ6PPQbceSeA\nya1QBgK0zccqPniHUhImc5dX4AuFUggpCuUHH1BpBZtoUqs57aMToaTTa3s7EYfkcEpsH5SrUGYF\nUy2vI8Yp8gilVIdXgL6D8nLqQnrrrXRbYSHUQ8NpuYSWlS/D1q6tip83WRCLBzmWV1lzKKNZJ25D\nHoC+WktXA8Vtk4hQCm7pdjudv/PmpSiUhpI86mPA1RQmklD65XV45aKuuA4NffLi43EllEUnWKG0\nZmQkEsqoOgnEN5ShkBl1UxI9hqzt1e8H7v9lGIEKF5bl5KC6GrjwQuCRR2iEVnV1ogKlUqlwh24a\nyvYX4bm+PnyTp5sdAOjVaujAgFGnNieQwsnYmId3Y48SSqNxnAhlaSkVE/HNIWIVSi6+/W0ilXwR\nf309ZY7kDHcXgOz6ydzcBNbpzrIi0J0aIQ4MAPfcQx/jrbeAhx6K3iESpPEi2uk13RpK4AtCyUKI\nUGZkTIzllWsfTHcOJQBRIpiTAwxnlNBjxNpy22wUFQj+ERFECaWSLq8AdXo9MiIvMzoZwbdeVKoo\nyRRRKAMqPfIyOWxr/XpyV2ByK5QD0VGnMTdgOpbXCa6HCoQDspxCX9RQ8oMVW2LYvJkCKC7GodMr\nn90VGB+FMtOXeIbm5AADWVPlE0ophRIg0nn22XHymZcHtduDbEaZqAAAp1Wchs+6PkMwPIm7cYkg\nbcurgEJZXg6UD++luC2dTO0EQXBLt9nompg3L0Wh1FjykJGRxJUm0PKqVKEEgPqi+vEjlJ2dnVi9\nejXmzJmDuXPn4tFHH+V9XH8weMKa8ggqlNH6Sfb9+P1Ar8eMWaX8hPJPfwLK1oxiQY4RWdFs/o9/\nTAnirVv5J1hMmwboX5uC7lNPRbVgRS6QrQohrBWINkUwyzILewZbEEqnReQJAm9wG422o3tEWh0v\nE6DV0o/OdwgkK5QAeZvffpv/tfLy6KQ6kn7wKqt+kifA8hmtiPQnEsrXXgNmzqSvbM8eIpRvvRVN\n4CtVKOfPB/bvT7uGEsAXltco0m3KA6RPKNnEf7o1lAAkCaXDoyMmIHYwp1M/yYJVKBVaXk+vOB3r\nj528I2v4LK8Ah1AK/GA+GGA2xFqH0+HT1QV0d09qhTJliSixvOp0tKeLBA0MQ9v9Cy8A3/wmzSh8\n5RVl71G2Qmn8QqHkQ3TSQRwjI6kNasah02tbGz+hzM2lc5Av9ytHoRweBnTeVIVyIGKhF5ZiOXIs\nrwB1vP3BD+L/VqsRystFkUe5hlOQVYCpuVOxu3e34udOBoxpDiWPQllUBMwKNCAwa/JZXgUVytxc\nIhDNzfE23dGLKcW1N8kUyvricSSUOp0ODz/8MA4cOIDPPvsMjz/+OA4dSu08Oiktr0kK5eAg0O81\no8KcaMeYN4/W+k9/Csy/3o4VnM1m+nTgvPOAe+8FZs9O/dvTplE2rVgoNRZFNkIIaQQKrEQwtWAW\nfheag3k7d+KVgQFEJklHKzHwSv9RhVKtprWhpDhfEEuX0lzJZLAdXpMh5kcdY2Me2fWTSQFWwGxN\niRCffx549FGyW1dW0nm9YgURTcWE0moFwmFo7aNpK5SzrbNxxHYEvtBxnAM0CSGnKY9QDWU6hJJb\njybVJTFdQhlzGkrNohwLoZw/H2hshNs3qsjyuqx8GbpGu9A1KqO+cxJCaL1k6cMUEQtsGD7GALM+\neq21tdHjzj0X2LhxUiuUKUtExE3Bm3CWsL0+8wyN+3r1VTp3ly4FPv1U2XuUSyiLjcXodfUqe/H/\nArDuPeEbIKpQyhVehBRKjYaSYNxmiSzE9kBWUBgZAbTu1KY8Dqea9sh+CVVajuUVAO66C1i5MuGm\nQIEZRR6xmhhhrJyyEhvbN6b13BONMc2h5FEoNY4R5Kns6M6YNqkIJTfufXLnk/jnwX/SP9gsTFYW\nnbMsqfR4+MvAJplCqWR0nCShLC4uRn19PQDAaDRi1qxZ6OH5ASdLUx4xhfKzzwCdJQcaV6JCqVaT\nSrl6NdCS5cDKpEPwJz+hNcGnUFqttFFJNZrKQhBBjXLL60ZUQe9uwiM1NfhVRwdO2bUL/5ngwadj\nhVgNJYDxs72uWgVs2JB4G8OQ5ZWPUIqhvh7YLZIBfOIJ0dEiiju8RhHOt0Izkkgot21L7R10441U\n36uYUKpUQHU18nptaRNKg9aAmvwaHBw8mNbzPy8YS5dXRefe9u3AK68kKJQGAwk4QtfNWBTK0VFE\ne7GLELd0GvKwMJtpRE6vMsurRq3BuTXn4p2Wd9L7uycYfDWUAJCT4QOjFxiYB8Ab0cOki0ZbW7ZQ\nZ+pVq4CNGye9QpmwRET2Kl6FQoJQbttG9eSvvgp897vUPLOlhfOALVskZ6oEw/Ka8iwuXYzNHZvh\nCY5H5vPzg5QjjLXzcTEOCqUQoRR7HTHLq15P+7PLyUDlSG3K43CAFm+fhCot1/LKA1++GVZXeoLA\nyqknL6Ec6xzKZIUSe/eizTgfXT3qSUUouXHvju4d2NMbbfTIvWjmzyfbK5tsU6tT42GeBT4ujSwR\nVSgVEsop5ilwB9wYcEtnMhXp78eOHcOePXuwdOnShNuDkQjsoRAKOBnXSWF5TVIod+0CTGXs7pGI\n3/3chT885saO0VGclnQI1tYCf/4zcNZZqX9bpaJsaZtE74hMBBBQCVti+bBzdBQfe1TwNz2MNXl5\n2LFoEX4yZQpubWrCVkWzJo4vBGsoo9H2uDXm4SOUPT30d5SQLoAY3ObNwvf/+tfkOxWA4g6vUTAW\nK7T2eITY3U0b7bRpiU+98EISUCN2hYQSAKqrUdBjT7spDxCto/wvt70et7Eh778P/OUviR0zkX5D\nihOuUAKIzJ+Hub1hGLTKajAvmH4B3moWvu4mM7jrZVfPrtjt1gwHIlnC5Q/usAGmjGi0xY46iu51\nJ5VCKVFDqVShTK5kqKkBWtl+dQwDXHcd8PDDou9R7hzKspwynFpxalxl+AIAePgjz5l2ogillELZ\n1weU5Hqh0moTmKdsQhkK0Qik5NazMuEryIHVlV6tz4opK7C5Y7Ps8Q2TCWnPoYyqUskKJRoa0FtU\nT/nPdNqnTxC4CqXNZ8OQJ5rc4qr4bGMejndcSqFsagJmzRqf8nK7z67Y8qpSqVBfXC8r/pNNKF0u\nFy6//HI88sgjMCZFTT+8917on3sOD/zsZ9gQDfBPlOV1UEShDAaBgip+Qml57D40vfJnzMzKQg5P\np9abb051drCQRSgZP/xq+YQyFIngK83NeKi6BiZ1BN3ObqhUKnzJasVXS0vx0mSNKiBgeXW5Ytmp\n7Gx5GZf2dt6fKo7aWlpk3DpKvvpJOTj1VFIo+WT1jg76GyKjRdJVKFWFVhhG44Ryxw4aV5QsXhgM\nwJVfCtLnFWItQqiuhrXPmbZCCXzRmAcQJ5Tf/sepKB5qFPxpLBY6NGS5Nrq7gQMHUgJ0uYTyrnfv\ngtPPCczZbik8SFAoJ5BQ+ubU4pTBDKhE2yCnYm3NWmw4tuGktFuzNZQMw2DZn5fB5iWfXl1kD7w1\n8wWf5w4bYNRyFMrTTqNAZHAQJUzPyUUox9Hymry1T5tGW3MoBGDnTtpfX3hBNPKSa3kFgNsW3IZn\n9jwj67H/LTgelleGmRiF0ucDKs2pa9Jsju6BUoSyp4f2UcmDnh+ePCMKXOkRwsLsQpSaSmXXsk0m\njKUpD+P1pRLKvXsxOq2OjqtJqlDafDYMeaOEkpuFYRVKmy3WDluqhrKhgahMghsjTaRjed2wYQN8\nH/rw4P8+iPvvv1/0sbIIZTAYxGWXXYbrr78el7Dzhji47uKLMf1rX8P999+PVatWATh+lle/n86g\nggJphRIAimfyE0q0tWFjIICVAhlVMcghlHrGD79avkL0u64uWHQ6XF9UhPriejyw8QG4AsTCrrBa\n8crg4KStpxTr8grIVyhvuAH4+99FHqBSpaqU6RJKoxGYO5fshsn45BPqkiNCKNNVKLUlVmR54oRy\n2zYilHy4+dJROFU5YKCwDqOqCkV9zrSb8gDKfPSfVwgFLLm+PlT1f4YFIx8JEkqVCigpkXn2dXcD\n7e0Y7XElWAiFAimGSXxvzzY8mzg3anBQWqEsLxcnlMlyqUI4Z1ahPo2mmfmZ+agrrsOGYxvS/tsn\nCqzl1eF3IBQJxTLWdYHtcM4SuMgBuIJ6ZGt8lHVrbqb6brUaWLECxU0bUy2vX/5yfO7VCUTKEpEY\nG5ISUBqNgoTS5aKX4waWBgNxgPZ2AC+9BHzjGxTRbeUfscAwDIKRoOx50BfOuBCHhg6ddGO7JhLH\nw/I6PEz2fqFQTIiYSimUAFCRk7omc3I4CqVYDeUY7K4A4M7NRr5TpJO2BE7WOkqvN9XyKndsiN/u\nhV6flENvaEB4Hkeh7O2d8O7QcpCgUHrHT6E8GK00+uSTsb/HdJryrFq1Cnd89w4UXVg0dkLJMAxu\nu+02zJ49G3fddRfvY/q2bkVRUjR9vBTK3l7aB9RqAULJUSj1eqCkVoBQdnZik8mU0JBHLtjGPGLQ\nR3zwqeQF9G1eL37Z0YEnZ8yASqXC3y79GwKRAOY8MQdvNb+F2dnZyNNqsVWqcJMHLR4PNvFs9uOJ\n8aih7OykC0hy3noyoeQbGSIXK1YAmzal3r5pE/CVr9B6EvjOZXd5TTrM9OVW5HjjksP27cKEckmt\nA6PqXOzaxX+/IKqrUTzgGbtC2bcXzCTYuE8UhH7j8rZNCGgMWOD6RLApD6DA9trTA+h0yO48LEuh\nZN+XWk01YqP+0cSh7HJrKCdQobTVVmJuT3rB1AXTL8DbzQIdmicx2N9l2EM/GhtgzPPugG26MKF0\nBg3I0vrJrlBXF88UrFqF7B0b4HZzgrHDh6ke4+CJr2+eSMtrSwtZXNVJEUtNDdDawgAvvwxcdRVw\n7bWkUvIgFAlBq9ZCrZJnzMrQZOD6edd/oVJykNDllWEmxPIqpk6KvY6UQgkApVmpa1K25VVuh1cB\nuHKzkDea/uiPk7WOMm3La2YmPDZfYv1kIAA0NUG/aC4dVwYDBZSToK9IskLJ7vsJSZeqKnqvx44J\nE8qkBX7gAPV3GjdCqVChBOR3epXcWTdv3oy///3vWL9+PRYsWIAFCxbg3XffTXhM/8GDCQ15gOOn\nULJ2VwCwcgmlz0eRUtTqZTDQ2awt4CeUoZ4ebK2owPIc+W3tWVRVSSuUGREPvJAX0P9vezu+XV4e\nG0NiybLg2XXP4tl1z+Lu9+7GpS9dCovnAO7a9Tq+9/738OOPfizLW/9cXx+W7t6Nmw4fnlBiIDY2\nBJBneX3pJdroJQNwPoVSaUMeFmKE8swzScHcy6/SpWt5zZxSCHOAJIdIhJxbQoRSNeqArsCMv/1N\n6oMkoboapQPeMdVQFhmLkKHJOGk7bo4HhH7j0uYN+GDq7VgS+ATGbOHrSrY7p7sbOO00FA0dSFAo\nhea4cTOjdh8Fcgkz9CQIZayGcqKa8gAYLsqBycek1b3ugukX4K2Wt066ZAZreR3x0mce8gwBDINZ\nru0YquK/yINBwBU2QB/xxe2uLFatgmrjBlgsnN4zv/kNLQypZiLHAeNieRU4GISMJzU1gPPDbXGH\nyTXXELkMpgbuSuyuLG5dcCv+uvevCEXSV5Y+T0g4wlwuYgbJm2JuLm8bVrmW13QJpdTYEAAoyUxV\nKGUTSrkdXgXgzM2EeZRnbrZMrJyyEp+0f4IIc/KMkAPGYHk1GOCz+xLtrocOAdOmobQ6M35cTRLb\nK3f9CSqUajV199y0SZxQJimUd9whQijXrwdefFHWe3T4lCuUgPxO/5KEcvny5YhEImhoaMCePXuw\nZ88erF27NuExfQCKk9jj8WrKwyWU+VotbKEQWUF7eshjFk1pnnUW8Mc/grN7cBAIYHd+PqYODKCA\nrx+1BORYXnURDzwyCeXm0VFcXFCQcvuZ087E3q/uxaopqzAHg2hWF6MwuxjP739eNHvgDIVww6FD\n+GVHBzbU1yNDpcJ2kVqVsUJsbAggz/L64ovAV78qg1Am11Gma3kFgOXLqRUwNxgZGKBDZt48sp4J\n2F7TtbxmT7UiLzwIhiGxwWql/YQXDgfMlWa8+CJvvCSMigrkOUPQjzEm+m+3vQoRysJDG/F+8Y3w\nQ4/MLuFCB1kKZSgEDA8jsHw1aoIHE4aIywmkWPKiRKG020HB1MgIfUg+jFGhdIbcOFZhEkzIiGFu\n4VyEI2EcGkodVzWZEVMovRyFsq0NAU0mRrNLeJ/jcADQG6Dy++INeVjMnw8MDmJ2Xi/VUfb2UsvT\nu++WHndwHKBkbIjSLq9ihNLy8cvAlVfGOlqjuhr48MOUx8ptyMPFnMI5qMipwHut7yl63ucR4TBx\nyNiexFc/CdBtJ0ChFCOUKhVdi4X6MSiUY7S8OswG5DrSD4pLTCWwZFmwv39/2q9xIuDzAYaMSMKg\nZrljQwIOb6JC2dAA1Ncn5j8nCaFk495QJAR30I1h7zAlQZNt4fPmARs3SiuUwSACAeIWl1xCazQl\nfti3D7j0UuB//1fWe0xXodRr9ZhRMAMHBg6IPk75lFUe9C1YgKLDhxNuO16WVy6h1KrVMGk0sIdC\ntDFwMuo5OTQZgpdQ9vRg4+mnY0VvL51cCjFtGvEZvmG7LLQhN9xIbfaTDHswiE6fD3MFvHOZukzc\nuexOPL7qByjPysPyuV/BxbUX4+O2j3kfv8lux8Jdu2BQq7Fj0SLMNxpxVWEhXp7Azg5jtbw2N9Pv\neu21MgJwbh1lKEQ/RHV1em88L49OMu74kE2biGhqNKKEMl2FUldqhRWD8HjE7a4AAIcDmcVmTJ0q\n3pA2BVotevO0MPaMbd7Af3unV97feGAAmSPd2Bmqx1btGVBvFvalyCKUfX2AxQJb+XzU6w4mNGeK\nJS5ttgTix0soWYXS46HIXSCwnzePlrQ/pKH9ku8NMsyYCeWofxRd0/LTIpQqleqktL2yNZQJltft\n23Ekf4lgdt7hAFSGaLSVTCijdZSr1dE6ykcfBa6/ngYkn2BCGQzSe09Iho1jUx4hQjm9OoK5h6KE\nkoWA7TUdhRIglfKZhi9srw4HxVEx2zGf3RUQbcpjs5ETRwwxQsnwOxqSBJwYxCyvAK25Ah1/Ux6l\nllefT6JhIA8cOXqY7GOz7Z2MdZReL5DFuCko1GgAyFcoQy5fSkMe1NWhqIiT/5wknV7ZuNfus8Os\nNyNblw2H35F6ncyfTwGuEKE0GOhg3rIFLS0kimdmUhiaoFL29gIXXUQj7Xp7ZX0H6SqUAMV/UrbX\ncSGU/dXVKN62LeG2E2F5BTh1lMPD1FoxGXyEsqsL7yxZgnM8HurRqxBGI5FKkZ4t0EbccDPShHKH\n04mFJhO0ycUiPLgySgzPnHYmPmr7KOG+/kAANx06hOsOHcKDVVV4urYW2dGL+arCQrw8gU195IwN\nEbO8/uMfFB9UVsrcJ1hCeewYqdKC8xNk4IwzEq/aTZvICgtMiEKJ7GyowGC0141t22hYtyCiAdqs\nWdKKeDLaCzTI7BjboO7/9k6vvIRy0yaMzluOwRENdmedITppXRah7OkBysrQmz8HM5nEurhYZv6G\nGxIsLqKEkm2RJ9Bd1WqNO3AE6yjtdvoDY7iunH4n+qqL0yKUAHDBjAvwdoswoWwcaMSPP/oxBt2T\nZ0hjskI57B0Gtm/HscIlgslWux1QZRoo82wyJR5uALByJZb5N8DWPgo8/TTwne8Q0T/BhHJwkI7b\n6BFDZOA4EMp5rq0YieQRqWZx5ZXAm29SMoWDdAnl1XOvxkdHP5I1h+1kxy6nE88JkCpZDXkAQUKp\n09Fsd6nWDzFC+cknwDnnpNwvZP0XHZ0EIjH5an7La0KXV6G4iGN5ffJJ4M47xT9HMuw5Ohgd3jE1\nkDkZ6yh9PiAzGG/IA8ivoYy4+RVKTTT/2dODSadQ2rw25GXmwZJloSRiQuExiCwCwoQSAM47D3jn\nHRw8GN/aEkJTt5vI5O234wPrtWiZcjaNG5NAugolIK+OcnwUyoICFLNtu6OQo1C+/jqU14MlQZBQ\nDg3JJpTDXV3YXVaGNUZjWgolQCV2H/OLhAAAVdgNH9QISaTnto2OYqnMOs4rrFb8c3AQZ1SuwJbO\nLQiEA4gwDJ7o7sbcHTtQlJGBQ4sX49KkkQFzsrNh1mh4m/r8qadnzCNJBGsoZVheGYZi5WuuoZ8q\nEpE+gGKEcix2VxbJdZRcQjlvHv0Nnp0wgWz4/cAvfpF6cPA1qVCpYNNa4WoblKVQwmxGZSUlS5Wg\nLV+NzPaxZfGSLa92nx2PfPYIjtmPjel1TxbwEsoNG+BatBLDw8C+nOQUYiJkJVK7u4HSUrRrqmAN\n9iQExQUFgG0oTGuSk/hKJpSWLEvc8trZKTk37cILoyNWy8v56yjHqE4CgDPgxPD08rQJ5ZnTzsSu\n3l2x0RsA4A648deGv+L0Z07HuX8/Fy8deAkfHP1gTO9zPMGtoSw1lcYUyo4ScYVSnWUgSxRXnWSx\nahXmDW9A0b+fBtasoUxmUdEJr6FMWSI+HyUxBCJ8XsubAKFkGOGtvfKzl/Fi+MpEd1BREbBsGfDv\nfyc8NhgJyiaUWx0OTN26FVccOIBnB0exfM6teLbhOVnPPdnAMAw22u04d+9eXNLYiG+2tGCYp6aC\ndwYln+VVgFACtAe2t4u/nxihPHgQaGyMzoWJI52mPAAtRTNSz2D2OT5ttJUoX7abYRIsr/v3iwsI\nfHBrIgjrtDICGmGsnLISm9o3JdSTD3mGJlUiLRk+H6APOMGt35A/h5KjUDJMTKEEOI2GxhIhAAAg\nAElEQVTJJwmhZBVKm8+GPEOUULoHUzMxLKEUGhsCAOefD/znPzhwgBK+AIdQhsPkTJk7F/jRj3D/\n/cBbgXPkEcoxKJT1xfVo6D8ehDIUQnFNDfCf/8Ruk1NDuX49NagbC/gI5SBLKPmK0YxGemOcTeot\njwdnj4wgs6ZmwghlOBxAtiqCkZB4Idt2pxNLOJkcMczOzoZZq0VTUIMZBTPwTvs2rN23D3/v78f6\nujo8WF0NI89MTYDUzWTi2OXz4Z6jR/HNlhbslzMoUgBSNZRilte9e+nnWbqU4hFZqg5bR/n++2Mn\nlGdEVaZIhE7QI0eAhQvpvsxMstM2NqY8LUGhfOkl4Mc/TlUNBGqKRjOscLQO4vDhqC1bCGMglEfz\ngIwxEsraglp0Ojph89rw8NaHMeOxGXjvyHs47c+n4bOuz8b02icDhAild+kq2GxAX/5sWjO9/Epw\nWZmMcy/ambpvSIvB3OlUWBtFQQGQ37mXriXOUKpkQjnLMiuuUHZ2IjHFm4oLLyRBhykXUChFGvLc\nfXeiQ1wIo/5ReGqm0OdJI0OfpcvCiikrcO1r1+Ks585C5cOVKHiwAC8deAk/OO0HaL+rHbfU34I9\nvQqjvAkE1/I6o2AGbKMDQEMD+ssWiSqU2mw9+bn4COX8+TD7+rHoo18B3/8+3cYqlNHv9de/Fm/Y\nOxFQ0pAHEBgbIEAoh4boLEg5zsNhaP/1CtZbrkj9vDy210A4IHtkyCaHAytyc7GuoACH3G4cKLgE\n945kY9CjvMfCZMZRrxcrGhrwlaYmXFlYiCNLl2Jtfj5eTZlNw8MfFSqUALB6NfCBSM4nEKDts6IC\n8eTtkSMJjxEilLxxBwd6PZAT5j+DJW2vIyO0+UdJ0cGD1B9GqOSc97OFA3DnG8fkJqgwV8CUYcLB\nwYMIhoP47dbfovb3tVj+7PKYO2WywecD9P7RFEIZDEocBZmZUAe8qCiP1iFu3kxBVvQsiuU/ZR2s\nEw8+hXJkpJs84tyFabGQk05MoVy8GOjpQf/OzphCuWABmfBcf/oHXSRPPYXtO1RoaIgSyg8/FPWT\nMwyDUf9o2grlLOs8bNcvFH3M+BDKQABFK1cCb7wRu02O5bW7mxrZyZlJKATFlleVig4uTpbodYMB\nl/j9REbSsLwC1NZ3yxbhDSYYCcKkZojsCoBhGEUKJRCfSVk57Src0OHBqTk52FRfj7lCA/GiuKqw\nEK8MDiLMuaJ/ePQovlZaioeqq3HlwYNwSZBfIUjVUIoplC++CFx9ddyhJ4tQsnWUzz03dkJZUkLr\nprGRNrBlyxK9rAK21xjZYBjgkUfohEpWYwRqTlyZVhz+ZBCzZvF8b1xEg7SKCuWEsiUvAt0xhU9K\ngkathbn2TlQ9vRIfH/sY629aj3euewd/vPCPuOjFi/BS40tjev3JjpQM+OAg0NmJ8PwFYBgg26QG\nTj9dUKVkzz3RQzS6ofX3A7bi2QnjIAoKgBl9m4BTTgFa47PxeAmlSz6hnDeP8mv9GSKEUkChfPVV\ncmdKwel3IiMvygjS3PB/cMbPcE7NRbjn9Huw4eYNcP3IhXeuewfrZq6DVq3FgpIF2NM3uQgla3mt\nLaiFqZVqsBhTjqhCqTNFf0xuh1cWGg3s81egJasunugyGslrGiVjv/sdWfKOJ1JmUIqMDAGUWV5Z\ndTLFtb15M2C1Qj17ZurQ70svJZWXwzyUWF73OJ04Oy8P1xcX48naWhw59QwUG4w4d+sb0k8+SfCJ\n3Y7T9+zBZRYLDi1ZgttKSpChVuOawkK8yONSSjm+hBRKo5GcFTzxw3nnAUlDAhLQ0UH7pE4H+uEz\nM2luAgdChPLoUfGeObm5gCnCn+iQJJQcuyvDEJksKKD/lQt/2A9fnomapI0BK6aswENbH8L8J+fj\n/SPvY8utW3DxjItxyT8ugT8kJfsdXwSDdN1qvc4Ey6tKRb+xGCFncsyYFmjCjDoDMHUqcNttwE03\nxe6PNeaZRAqlwUBnMKtQOvs7+ffBX/+aYkkIxMMaDXDOOSjc/W5ModTpSGjxP/YUJRMzMvDII8D3\nvgds760AY7WKZnfdQTcyNBmyk2pctHm9uKSpA+rsqaKPGxdC6Y1EkHfeecB778VWiBzLa3c3BWgi\nZUeSUGx5BRJsr55wGB8XFOACk4laxrW18W6EUsjLo0Nv+3b++4PhIMxqJnFOZhLafT6oVSpUiPk2\nknBFYSGe7OnBp4ZFqO59Hj+bNk1W/WVtVhaKdDp8Gv0etjgc2GC344eVlbipuBhLTSZ8I+WUlgf2\nwrJ5bbj7vbvpRhljQyIRqp+85pr4bUIuvBSsWkVZrHRHhnDB2l65dlcWAoQyplBu3kxB0U03JRLK\nUIh2DR712ZNtRdv2QXG7KzAmhbLJHIKm7ZiyJ3EQYRjc3tSEIcs5uGLFo3jzmjcxp5B2uotqL8IH\nN3yA73/wffx8089PuvEOcsFVKG1eG8IbNgCnn46MLHIBGI2IK9w8yMykGiLRToesQtkHuKfNSQim\nCgqAutFNwC23EKGMfs/JhLLWUoth7zCNEpJBKFUqUik/61ZGKO12Wody3JbOgBMmfU7a9X4tHg9u\n7g7hYO5ZOKf6HFTlVUGrTnRfLCgmQjlZ1h9reR32kkJZ2dQHLFki6t6x2wGt0UCLJWrtSob3h/+D\n72f/IfHG6PfqctHX+5e/pHWMpY10FEqlhDIFzzwDXH01zaJsTbrPZKLoi9PbQRGhdLmwgJOUVatU\n+HDxmdgbzMCvWqXnsU12/KW3F5cdOIC/zpyJuyoqoOGw9fPy89HgcqEnKevBa3nlC5bVas6A20Ss\nXk0/iZABKqHDa3MzsHZtiiMoO5vWdrJgsX9/3E3Ih48+AnJV/ImOBELJtz8dO0akBrTf6XQUcshJ\nprHwh/zw5ZvHTCjPn34+tnRuwYNnP4j/XPcf1Fpq8as1v0JhdiFueeOWSTVWhG9kCAsp2+tIVjlm\n5vRC5XDQj9PUBPzqV7H7J7PlNT8zHwWZBfAM9vAnXa67LrYOhQSW0DnnY1H/O6itjd92yawmZLQ1\nARdfjO5uMoV+5zt0hgdWCthe7XYgEEjb7vqvwUEs3b0bVxUW4iyPiA0T40QoizIyoCopIethtP5M\nrkJ5xRW8Hb5lgR3wzN0frFyFUmj+AodQfmCz4ZSODuSXldFqKC6WNvkLQMz2GowEYVZDlFBuczqx\n1GSCSqCBBh/mZGfjsZoa7Fy4AK1tr8ET9Eg/KYqrorbXCMPgztZW/LKqKmaRfXzGDOxwOvEXAfue\nGNhN5PDQYfyl4S90owyFcutWCsq5h4LsYfCrVtH/jlWhBOKEcuPGVEK5cKG4Qvnoo8C3vkXeVS6h\nZDdUHrLvz7Fi9KgMQhm1zLK9U+TGzQzDoMkcgqrtmHSLPR6wZLLZ68UTM2oxpE1N1NQX12Pbl7fh\npQMv4Xef/U7x3zgZwCWU1712HY79+6/AqlUx1TI7Gzyt2BIhuZ6jTXn6+wFmZqJCac5hsCz4CULn\nX0yncTQwSSCUvhEUZRfBrDdTExgZhBIgQvnOfgFCmSI/EfZHu9fL2SJG/aMw6U1pEcoGpxMrGxrw\n1dJS/HNwEP0Cae0SUwl0ah06R4+z31MA7HoZ8Y6gtqAWM47YgSVLRAMpux3Q5WaT5Umgy1fpeXX4\ntK8mcXRQ9HttbQVmzqRgS7CkZgIIt5KRIYBAMFlURDafxYvJsnrffcD27fyjhQ8eBN55B/j61/kJ\nJUDFR5yETDAsr4bSFQqh0+/HzKyshNtn5JbhLuMwftreg10TOHZronFvWxt+3t6OjfX1OCdax8WF\nQaPBuoICvJJke5VteQUEba8mE/2869fzPy1GKINBylZddFEKoWTtz9xOr3Y7/SemUObkQHBdSiqU\nLS0kOACxRil1dcpKwgPhAPwFYyeU1ZXn4Q/XfYaLai+KxYpqlRp/u/RvaLO34afrfzqm1x9PJBDK\npGS6FKE8eBDIn1ko6GOuro5WqBUV0XeqNIN2/vnKM/MiSLC8RhVK/2CfqFMDEI6Hj9Sci9X4GAZ1\n/Ly7uP9p/Mt8M6DT4Ykn4ry0ogLomctDKEMhimGfeSathjwb7XZ8o6UFb86bh7srKrCgSKwmaxwJ\nJQBg3bqY7VWqhjISoev2hhsoc5QOenspOcHlX0oVyteHhnDJ5s3xoGsMtldRQhkOIlerEiWU20dH\nsUSB3ZXFl0tLUZmdh7riOmzp3CL7eVcWFuLVwUE829cHDYBrORFBtkaDl2fPxvePHkWzRz5JBeIX\nVq+rFzafDf6gL2EGkVAN5fvv0xLi/p6yCWVtLfCjH41pTlQMK1bQD3ngQGqXnPp6SksmzYgJBoFC\nfyct5ptvptOGm74UyuYCCOZZYWEGxTu8ArGsv8lE36+cmV4AJTMCBi1UubmKM3lcMvnOvHk4My8P\nOwSCqRJTCd685k08uOXBz+XcNi6hPGI7gpytu4GVK2OE0mgEsGgRBR8CPeUlk6nRpjx9fYCuLpFQ\napoPwaXOgS27HNwommsxH/GOID8zH0XGIrK9yiSUq1cDHzeXI9IpvynP3r0UYMohlM6AEzlpKJSf\n2O04Z98+PFpTg3sqK3Gl1YonRDaEBSULJk0dJbeGcnrBdMzv8CN8yiLRs9HhAAYXrSWrhgD0eop7\nE2KhaCDc0kJH2G23CfQn8HhoUxWbcZUGlCqUOh3FOglvY+5csqM8+igpU6EQcOGFsO3tSM0T/uhH\nwA9/CJjNmD4dqZZXgAgl5/qRO4dyr9uNOdnZ0PEk/36x7Hbkd/0V5zfsxKCSArpJAl84jIc6O/HZ\nwoWYJTCaDACuLizEi0nXqWzLKyBaRylme40RymPHaJ0uWpRieQVSba+NjfRzc3+ylxpfQrs9SRwQ\nsGKndHpNRktLLKtx6BAwaxZNf1BCKP1hP4IFuWkTymAkgp8dO4bVDQ24myeDkqnLxL+v/jdebHxx\n0oxYihFKp5NXoRTjCLt2UXWHEGKEXqejBaHke2UYEg14+mGki4SmPNEaysDIgPA1EoUQodzfZ0Vv\nzsy448nvR/n65/Br25cxPExNvr/9bbqrshJoKl5JXxo3PnvqKbp+2toUK5TBSATfaG7G76dPj5Xh\n1RXzu2ZYjAuhLGajrEsuoaIat1vS8jowQNf18uVUcz00JP133n030SqRbHcFkmooJRTKUCSCt4aG\nsO6DD+JNJ2pr027Ms3w5sHNnSrdyABTU52nU4gqlwvrJZJw59UzBeZR8qM7MRIVej2+1tOCR6dOh\nTlJG5xqNuKOkBE8qJCHshdXrpEhzcOAY7SrRnvJClteenlQ+KJtQqlQ03DXWt34MmDKFvIkLF6YW\nNZrNFDklrZFAADjz8BOUITGZKIXZ2hpPwYkEWOGCIlRo+xKsDbzgvIYS22sgHIBeo6eU3tGjoo/d\n5XTiy4cP47LGRpzZ0IDZ27fHyKRRq0WVwQBPOIxegdTi1NypePnyl3HDv25A01B6iZnJCpZQMgwD\nV287TD1DwMKFiYQyI4NS8Fv4EztKFErzohoKsFmrx6ZN2J29gjLzHELJbUYRI5TZRdSYRyahzMwE\n5qwuBOMYTd24BQjlvn3A2WfLtLz6nTBlmIDCQtmEcr3Nhi8dOIDnZ83C5YWFAIDvlJfjDz098AoQ\nItb2OhnAraEsZLJQPQLYp1dIKpQmi55quUVQU5PUqyRK1Nm49+qrKbeVEmO1tlIGQFYdgXywS+TI\nyBEEwgHJGkq2ASz3e/B6gY/2WqgZ0Y030n5+9924ddPNmFHDcVZs3kwuka9/HQCEFcrZsxPIiFzL\n6x6nM8HuyoVeq8dTy65HYPATPNQ5furG8cJBjwfTMzNhkRiafFZeHo76fGjj2MxsNqAt62Xc88E9\n8RuEfuO8PLqfB2vXklWPTyiPEUrW51xbSzcmXTDJhJLP7vrY9sdSuz4LKJQ5OTIUyiRCyRIauYK/\nP+xH0JKfluW/2ePB8j17sMXhQOPixejw+1MsyQBgzbbiq4u+ivePSHf8PB7weqMhVBqW1507KZ8g\nhIoKOqoGBqDc9upwEIuTiIeUgE+hjIwMp61QHjgAdM49L97s9I03oJo3D6YFNfjWt8jRzzo3KiqA\ntoFsEkA2bKAbR0aA++8HvvtdoLNTsUL5WHc3yvV6XMoR5lZNXSX6nPEllLNmkUz3P/8jaXmNlgpB\np6OyIyELBBe33krfDwtRQilDodw8OopKtRqVanWciMyYkTahNBpJwOKLJYPhIPK0GkFCGYxE0OBy\nYbHMDq98OHOaMkIJAHeUluKW4mJBInt9URH+MTCQ0LxHCmxWqs9FG/PQ4LGYOgkIX0B8catsQjme\nUKmoy1Ky3ZUFTx0l4/bg1IN/Ar75TbrBYCACx2bIxRTK8mmYm93G54ZNRJqE0h/yUyBVVZXSMS8Z\nL/T3wxOJ4JrCQvx4yhS8MHs2Pqyri1mhVSoVFptMgiolAJwx5Qz831n/h4tevChhzMPJDpYgDHoG\nseSIHwen5wI6XSKhBETrKEXXs9tNfyQ3l66Fch2tIdYxsWkTDllXUCCVpFCyhHLYMxxTKIf7ovXg\nEhlSFhdcpMZwRmkq2RDo8rpvH3DuuWlYXmVkkgcDAVx/6BBenDULazi2vJnZ2Viak4PnBIKyyUQo\n/X5ApQnCHXAj50ArmssMGAqNSiqUEvEHAB4SFSWUrD00J4fyuyljudgnKR1kKwF2idzyxi14p+Ud\nScsrkBpQfvIJOVS44n7ku99H2OvH7I8eoxsYBrjnHuCBB2KLvqqKPk5KjmH2bIr+ozZ/2YQyqX4y\nGRfOuBDTIn34U8smPLDxAbzZ9CY6HZPDZi2FfS4X5osokyx0ajUus1rxD861arcDNl0j1h9bH78h\nDYVy7lza5vhU5RRCqddT7WJSTJZseW1spNflotfViyMjSeedQGJXluU1Gr2zltfSUlpacvlhIBxA\n2GqRtf8FIxHsGB3F7zo7cXljI07bvRs3Fhfj3fnzUWkwYE1eHt4b4e/qOpmakyUolAotrzt3iiuU\nKhWnskgpoWTPuHEklHwKJWMXSbpEIRQPHzwIBM+meZQASJL8yldwxhnUvPKuu+KPrayMVqucw7G9\n3ncfcPnlMWuvEoWyx+/HL9rb8dj06QkleJYsAU4VxfhYXrm1Hr/5DfDMMzB3NooqlCyhBICzzpKu\no/T5iCP+9a/xGF2IUA4GArTb8NQHAIjtHq8PDeGSUCgxgz8GQgkI216DkSAKtBpBm8x+txtTDAbk\nCIz5kINTK05F40AjHD5+ux0fvlJaisdF6g5nZmejJCMDGwQOh2QwTLwbZq+LIk3bQEfCZiJkee3v\nJwGDixNCKAHgt78FfvAD/vt46iin73genaXLYnUWABKLLEQI5aIrqlCrk7GxjUWh1EYVSglC2eTx\n4EqrFZcXFuKsvDwsNJmQkcR0F+fkYLvELK3bFt6G86efj6tfvZqaw3wOwBLKDkcHzuxQ45MqSkKl\nEEqROkrR9Rzd0NweFUKh6CUzO2p7jVp0jlWKE0quQulra6G9TWZN9gUXAC3+CoSPJQXHPJmeSISC\nuHPOGX/LK8MwuK2pCdcXFeFsnj38u+Xl+G1nJyI8Sa7JZnn1MBRcqHfsREt1LoY8Q5IKpQQPA0CX\nMh+hZC2vQNz2mvA1sU8ax0AKiC+RHmcPmoebJS2vQGpZzJEjdC48/3z8tq5eDb5reQ76X/+cyOGb\nb9JrX3dd7DHZ2XTUp1xXubn0HqIbpdw5lFKEUqVS4YU198OfORWuoBuP73gcdU/W4eldT0u+9onG\nPrcb8yU6wLO4prAwhVC61d1oHGikPV3kTBMjlCoVqZTJtleGoTWQQCgBYopJttf8fHGFkmEYXPhR\nJzyNnK6XkQhZo3iS56KE0uWizxIdiMgqlCqVMturP+QHI4NQDgQCKN26Fbc1NaHJ68UlFgv2LV6M\nb5SVxYL7tfn5eFeIUBYvwN7+vZOiOU+6TXlGR4nzsSMzhFBXBzQ0QPnokK4u+gHHMbEWUyg5cyg1\n9tG0La8HDgDFF55C62X9evqgl16Kc88lon3mmfHHxjr/n3suNUdtbKTxdQ88EGObShTK7x05gq+W\nlmJ6Uh25FMZXoQToVPnZz1D4s6/D6xFWtbiE8uyzpeso2fncP/0piUAMI6JQBgIU3Qk0NYDZDIYl\nlAMDiYO/a2vTrqEERAhlOIgCrVZQoUy3fpILg9aApeVL8UmHcFOQdHBtURFekJmGYzsbqtVEKAsy\nC+AY7EoglEKWVz6FsriYEgkiTuGJgdXKe/AASFUoDx7E0o0PYvuybyc+jnvaiBy+U04vh945JN0W\nOV2FMhxVKGUQymavF7USm8gSCYWSxUPnPAR/yI9ffvpLeW90koMllO32dpxuM2FDAX0HajWg1Uab\n8gBk2du9m/e0FCWU0fpJVu1RqRC37bW1AQyDYEWVIKEMR8IY9Y8i15CLouwihNrbZNldue/NYapA\n63oOoWQY3gvz6FFSCcrL6SFSY2tjllcZhPLJnh50+/14YNo03vtX5ubCqNHgbZ4i4qq8Kjj8Dgx7\nZBYYTyACAcAZHkZBZgGwfTs6a0sw5BkaN4UyxfIaraFkbVDLl5Nq9xl3RGxLC9lpx5FQhkLkbrRY\nyJXSMtwi64Mkfw9Hj1Is8OSTcRLc3AzoZ1cDP/85lRP8v/8H/PKXKaUNgnWUs+N1yHIUykAkgsMe\njyTpmmkuhFlnwFdPvw/vXv8uXrvqNTy6/dFJ02FYCHIVSgBYbjZjOBjEwWi0a7MBDnTDG/KiZaSF\nbkhDoQT4CeWxY7Tn5eUhkVDOmZNS68a1vDJMKqF0Bpz42uYg6t5LaoyXnc1bFiNKKFtbieWq1RgZ\niZchA8oa8/jDfhrtIEEoG91uzM7Kwr7Fi/GHGTNwfXExSpM6/6/Nz8cHNhtCPE32CrIKYNab0WYb\nXxdCOojV9/MQSt5ZtFHs2UO/p5S+Evv+lSqUnZ0kb46zQpk8h1I76kpLoQwGaX+vna0hknjLLVQG\noNfjzDNpT+fmiWMK5fz5tJCvvx649166UMrKgN5ejLptsgjlepsNWxwO/CiNfiTjTygB4I47oPF7\nccnoc/HbGAb4179i8i2XUM6dS4r4sWPCf4Pt2vy1r9FG8vLL/ITSrNXCHYkgKDA3DQCQk4N9DAM1\ngLltSUFXRQUxmDRnpS1bRvFfsoATjARRwNpxecB2eB0rlNZRysHVhYX419AQfDIaOXDVkl5nL+qL\n6+Ec6ZW0vArErdBqidvxuVD4FIrjApZQ9vYCd9wBrFqFzxZ9E521Zyc+jtuYRyybq9HQjiCWLQsG\n6cuNfo9KFUo5hDIQiaDD50OV6DBMxCyvUsGTVq3F37/0dzy2/TFs7tgs781OUoRCtIFrNKRQljlV\n6DBGYm4AvZ6zxE0m+q55esrznXs2G/Daa0CgLT4yJHYdsAFxdIRNgUUVJ5QtLQDDxK45h98Bk94E\njVqDImMRVF1digglABhnVeDIJo7l1eEgFp20Jvbto7NLpSJ+IqVSyu3yesjtxr1tbXhh9uwUZZyF\nSqXCdysq8BuejrRqlRr1xfUn3PIVidAlOxocRkEWEcrBudPGTaFMsbwWFyPU0w+vN+5OVqmoTCSh\nOU9rK7Bmzbhm5gcHSTHyhl1wB91ENtKwvB45AnzlK5TpZ0lwjFfcfjsdBAUFZOFKgpxOr4FwQHIG\n20G3G1MNBmTJqMVfZDLFur2unLIS/pAfn3V9JvGsEweGYbBXgUKpVqlwFUeltNuBkWAXqvKqsK9/\nX9oKJUCJg08/jZdF2e1kd/7Rj6KBMre179y5ooSyp4e2KKs1fn9f3xHMGAFO2TsYP6dEVPNYU57C\nQiJ8XKLGUz/JBvPJvffEEAgHgGLphFqL14vpEmdwiV6PKQYDtgkkdieL7TVW36/Q8irVkIfFmCyv\nK1YQoRynODLB8mrIQ15mHjJdfkQk9kE2Hua+jdZWStZmZoL2u/Z24Mtfjt2fvD3FFEq1mvb3UIjI\nEkBfdH4+wr3dsiyv325txe9qamTtgcmYGEKp0SD02B9wn+cesp6+9RZV137jG9TBDYmEUqUi26uY\nSskSSq0WePxxGubZ3JxKKNUqFfIBDHNVx2SYzXjDbMY6i4WCLu5jNRqR00kE0QPaYKC62GTHWzAc\nhDUjQ5hQjrEhD4szp52JD4+mOYdFAGV6PeqNRrwjYLHggkso+1x9qC+uh2ekP0WhTCaULhddC3xn\nnZCqs3jXLsE6gglFcTGdYLNn0+dqasKmBXdCl5FkLeRW7Utl7KuqxLNlbIYvepIpraGU05TnqNeL\ncr0eeolizmK9HkaNBkek5gIBKM8px1MXPYVrX7v2pK6n5HZ4bXe0I8/mhbaiEu0O6iKYQCgBOg13\n7Up5Hb61/NBDwJ13Ar/4Zg8+PlyKDRs4JYtsp0qWULKBFNtwbGQkYaByfiZZRIuyi5DRO6iYUM5a\nUw7n9sNxO5lIQx52TKIUoQxFQvCH/cjWZYs25fFHIrjm4EH8oqpKUiW/wmrFUZ8Pu3kCqgXFJ972\nys6ltflGUKwxA319YKqqxk2hZLeLWNxbVIRwdz9qahIz1zfdRH3yYr9nayv5lMcxM88ukX5XPzK1\nmWOyvNbUEHf84x/pthihVKnog7zxBq+FWy6hlFIopeyuXCwymbArKs2rVCrcvuh2/HHXH2U990Sg\nPxAAwzAokWjIw8WVhYWx8SF2OzDo68b5Nedjf/cekuqEkuAShDI3l/aPTZtoDVxyCXWa/v73QcHB\n0FB87+KxvHIJJV9DHteuLThSno1yB4ORFumkbkyh1OvpM3HjCh5CyUKp5VWTbyFyJdIhuNXrRY0E\noQSkba8neg8E0re8SjXkYcH2PgxYSkVro4aHaV9hR12hq4v2howMeR1BZSChKU9mHrRqLSwBLdzZ\n4kksnY5iX+6SYOt0AdBMr9/8JnHhJaG8nPh0JAJqNPPaa4nybmUltF09kgrlcHrMFhEAACAASURB\nVDCITp8P64T6z0hgfMeGcJBx2in4Jy4HM2MG2VR+8hMqlIweZFxCCUjXUba3xzuALl9OYwd37Uol\nlABgCYcxJEEo3yoqwoUFBbSwkh+rdHRIXx+daFEZjc/2GowEUajjJ5SOUAgdPh/myrSiiGFx2WK4\ng25sat805tfi4jqZtlf2ogpHwhj0DKKuqA4++1DCwaPXkxWL+1UIxK0A+INwbziMvS4Xvt7cLNjx\ncULx7LNka3zoISAvL4FwuAIuVD9ajVChhXaKnh7pjL0UoUwK0GIZKRmIBVJWK+3gAiMt5NhdWSwx\nmbBd5iy2i2svxrradfjym1+e9JYwIXB/34G+I1AzQEHRtFhbel5CuXNnyusUFtJSYA9Snw/4059o\n77v7qm4EC8vw5JOxGdoUyLS30wNWrIjXDqlUsSial1Aai2AcsCkmlNZbL8Jqw1YcPPcuukBFGvLM\nn0//X6iPBQtXwAVjhpHqf0Sa8rw9PIwcrRZfkehwClDTkC9ZLPiQp5PkZGjMwx0ZUuPSA+XlKDBa\nMewdFiSUbN5JTl7RaKTYOJaULyqCZrgfM6YnXl/FxeSWuuMOahyGoSFqODYBhLLP1Yf5RfNh99kR\nto8oIpRs/Vx1NU1dev11Uu65zkdkZQlaLFnBPgWcTq+BcAAZ6nEklEZjQkLjprqb8Prh1ydt4oyt\nn1Qy53qxyYTRUAhNHg9GnB74wl6snrYarW27BOcqA5AklADZXt9+m5zMhYXAww9HcwWtrbQQWIWk\nJtrtmtM+Pz8/zvn4GvKEd+9C5/RCbJ+bB8fr0RE8IkmOWJdXACguRv/evngtL09DHhbJzdzFEAgH\nkKEzkDdchMTIJZTn5efjPwKzwybDHghIN+URSqzJVSj1+qj93yusUH74ISUvduwAnngieiNbQycV\nd8kEw9Bn0WaE4Al6qF8AAEtAC3um9PWWnZ3YFPnAAeK7AGhx3n236PMNBrrk+vtBX0hyX5SKCuh7\nByQVyhaPBzOyshTtEVxMjEIJ2mfu1f0SoT8/RymcL30JmDaNouBwOIVQnn02kTChueusQsniwQfp\nC+fjjdZgEEMiltd+sxktOTlYbjbzt9VX2phn82Z642/T7B9eQhkOIleXgSDDpBCgnU4n6o1G3rlX\nSqFVa/GTM36C+zbcN+bX4uIyiwUf2GxwSAyPZWX/Qc8g8gx5KMspQ8A+nLCZqFSpKqVSQtkSJT+L\nTCb8YhyH08rG2rW0nqNgFQkAaBluwVHbUTQNN8dVSjF7ECCPUHKeX1JCZ5KcUWj+sJ+a8qhUop1e\nm6KbiRwszsmRVUfJ4sE1D+LIyJFJncEXA5dQ+jqOIlRUiCm5UxMUyoR8kAChVKspyGcVvZdfJttO\nbS2Q4+rBubeW4dgxSkgCoD86bRoFU7NmJbbLFyOU2UXIH3QpJpSorER463b49jXDv/IcitYEFEqW\nUEoplKP+UaqfBIgQeDy8kcQxnw8LFQS8C0wm7OEp3pwMdi/uyJBpo2RpL8gsELW8ulz0OwqV/icj\nQZUzGhFhVJg7JfWa/MUv6Dh7/bdH6RAtK6MAL82yjmRwCWWpqRRVeVXwjwxKSq3c72FggD672Ux5\nr/PPB557LolQimD6dJHRIdFOr8GwdFOePS4XFsgsPWEtr2ySzJptxXnTz8Pz+5+XeOaJgZL6SRZq\nlQrrLBb8s28I4axulOWUob64Hp0d+8V/XxmE8rzzyG02NES/dSz8Sf7RtVr696FDsZukFEp94yGM\nzJyC1qXToX03OjpERP7njCaHM7sId13Tj9tvj+a+RBRKtpk7560JInYOs7ZaAbR4PLKaoZyak4NW\nrxcDPEHAZLD9A+I1lEL7oMNB8d7MmfL+Rl0d0DCQSij9fnIy3nwz5f/feIPOW78flKCoqKCzdRzs\n/8EgrV9XyI4cfQ7UKlrMBT4VRvTSzZGuvZYcuFu30r+TExdyICoyVFQgq29YUqFs9noxQ0YyQwjj\nQiiNAl7bcKYRnlXnx3eKzExKLfX0oKsrkVBOmUKcQ2jOKFehBCiIaWxMCuKisHi9GOIa6pPwjsmE\ns1taqEaHT6FUOovy009pR3vzTQAUSx49mtiFjO0wZ+GpoxwvuyuLG+puQKejExuObRi318zV6XBW\nXh5ei9pfhMAdGVJsLEaxsRjhUXuKl3WshPKwx4ParCw8XFODP3R34/A4BUfpgks4modp7ezp20NR\n9z6JehNAumFOUnZVq6VrQE4H3ASrl8jfafJ4UCtzM1liMkl2euXCoDXgpctfwn0b7sPrh1+X/bzJ\nAu7vG+nugrqsDFNypwgrlPPn0x7CYwsujbpzGAZ47DHgW9+K3hFtysOdYgSATpYzzgDU6sR2+SKE\nsjC7EIW2ACLlZVCKktl5+OjON/Gx91R6c0kXpstFBJJtaCylUDr9zljGFiqVYEDV4fOhgvXLy8AC\noxF7eJIasyyz0G5vhztw4vYEtjnZsGcY5fYwMGUKLFkWUcurXLsri2Sbp01fjDmWVBeJwQC88ALw\nr1+3wl0S9cROnTpudZRcQllsLMaMghlgbMoUSladZHHHHaQmdHUl5O0Ewbr5UxLSubn0X0eHZA1l\nhGGwV4FCWaLXI0OtRgcnKr59IdleJ6MTQ0mHVy4usVjw+uAQjKXdKDOVYWruVGjsowiZRWIWGYSy\nvp5qJv/1r3iZDAAktCpmkWR7LSgAHENBwOPhJZS5h47BN2cmRlefhsLtjXRBiriEWEL59tvA+/uK\ncdfVfbjsMrpu0Noa2+z4An25jXlipScihDLCMDjq86Faxj6oU6txlsD4kEpzJfwhf2x024lCrIZS\nAaHcvZu+U7kDD+rrgW1HrfQDcl7w618HDh+m5qhr1lCZ0Pz5wFtvMuOuULLEecQ7grzMuIvC7GMw\nqBcXYQBKrPzf/wGXXkrXxN69HIVSJmKNefhQUYGcAemxIc0KRAU+jAuhFMoo886inDYNngNtCARS\n3SurV5Onng/JCqUYLC4XhoRGhgB4W6vFhQ0NFCUODaVaupRaXj/9lNrzrl8P+HzQ6ciWy84XBUih\n1Gl0vIRyp9M5pvmTydCqtbh3xb24f8P94/aaAHBtYSGel7C9ssFtr7MXJaYSFGUXgRkdTbE7JI8O\n4RsZwoKPUDZ5PJiZlYUyvR4/nToVX2tpOaGHeDAYJxwtIy3I0mVRDcN4KpRJh6HcOsrYQQaIE0oF\nltdFJhP2ulwIClkKeFBrqcV/rvsP7njrjpOOVLKE0h1wI2/EC13lNEwxT4kplFdemRgQQ6+nVDZP\npMF2ON+2jcjheedF7+jpScyysVi3jlKYAK9CyQ6PHvGOIN9A+55ek4EKB2CzKA8gAeAH/0+DGzp/\nge7HX4/9bRaNjfTR2ANfSqF0BpzUkIeFQGOeTr8flUndDMUwKysLHX4/XEmuCZ1Gh9nW2dQ45ASB\nXS8j3hEUjwSAysoYoRQKpOQ25GGRfCn3M0WYnsO/P8+dC9y+ugX/PjSdSg3GKZACUgnl9PzpUI+6\nxkQoV6ygPHRFRXxfFYPRSH+O1/UWraOUqqE84vUiT6tFvlyJGMBCozHWmAegwd++kG9SNudJR6EE\ngFW5uWj2eaCb1ouynDJqfJU5Fc4skfBRBqFUqylsSjkW+WTppMY8BQXA/cduQuSu7+Dw4SSSFwqh\nsH0Q6vp6lEydh64yEzW1kGjKc/Qo9T059ZJiLJ3Sh5tvBl758yip+aWlcLmoAVVyHCq3jjK2/kQa\nk/X4/cjVamNzn6VwnkAdpUqlwoKSBWjoa5D1OhOFdOZQ7tolr36SRV0d0LBPnZDZdDqp5PqZZxLH\n0d94I/Dqs6OUzTWbx20f5NZPskldADC5w+jTSnTvj+Kyy2gdHThAOZXaWmXvQVShrKxE3qBLlkIp\n1RBKDJKE8tZbb0VRURHmJaeAZCAzkycTW1UFR0MbyspSa+vr6vgVykCArj++WItFhIngjcNvAAAs\nDgcGBTaOQCSCD0MhnPfZZxQFFRWlpkJYy6scguJ2k9/h3HPpA0S9rsm212AkCJ2an1DucjpxyjgS\nSgC4bv516HH2YH3b+nF7zQsKCrDL5UIzp5YhGeyF1evqRYmxBHmZecjwBhDKTlykyaND0lUoAeDr\npaUYDYXwd7kThicAgUDcqtY83IyLZlyEhv4GZYQyOhqCF2MglCkKpcAGqiQ7laPVotJgwAGFyvDC\nkoUnJalkCULnaCdmBs1QlZaSQhkllP/zP4kHFwBB2yu7nn//e8qiajSg3723l9hZMm68EbjiCgD8\nhJJPoYTNhrBWjT5Veipdfj6VbXx3w0XA6acn3Me1uwIKLa+AYGOeDr8fFQoIpU6txuysLOznWYMn\nuoYoVkPpHYZl0D3hCiXDAB2BIkwxCO+Bpxe1Yji/Bg88gHGzegHxMts4oaxBhtunqMtrbKB9FCoV\n8NWvivahSIFUHaUUoVRSP8mC2+kViDbnWXg7ntr9lKLXmWgEIxE0eb2YnQahzFCrsVSVj1C9D2Um\nCsLm6soxnCHSuyAvL7EoTAn4CGXS6JCCw5ux2v8uwm++g5JiJtEd0tSEodwMWIuqUJ1fjY9nZ5L0\nKHIGWyy0xW7eDJQuJGKyahWQO9QKb1k1oFajqYmcr8mGPLmdXuVYXltk1k+yWJufj/dtNoT5ZvJO\ngsY8Ph+QmRGmwDBp7QmNDdm5U179JItY70NOp9fXXiNTT7JIcdllwNFNXQiVRuczT5s2bgoldwYl\nACASgcEXRK+CM7ioiOrHm5upZFwJpBRK67AXuQbxA2bCFcpbbrkF7yYPDJIJIYXSd/AoLznkNGRL\nQFcXBS1iicN2ezsufelSOHwOWEZGMCSwcX7icGCmwYDCzk5+uytAu4taLa/707ZtpLkbDMBFF8Vs\nrymEMqpQWpMI5UAggNFwGNVjyArwgVUp79tw37gpd5kaDR6sqsLqhgZeqxkQl/57nUQo1So1rBED\nRpPO8bFaXlmFEgC0ajWenDED3z9yBO4T0aAHiQpl83AzrpxzJfb07gEzcyYFbn194gGWyURfipB3\ncIyEUq8VVyjtwSA8kQhKFXQAlDuPMhlcUskmgSY7uDMoa3yZQGkpKZRRyysvRAjl7t0U49x6a/TG\noSH6/SX2AdmEsrMTQ/mZ6Henn2S5805g40Z6r1z8f+rOO7qtMvvaz5UsuVfJlrvjkjiJkzg9pJI2\nJBAgwNBC7zNDG8qPgQECDCX0MrShDEPvEJgAgQCBUNK7QxInjuO4xXZsuduyJEv6/nglWZKvmi2H\n+fZaLFbUZd373nefvc8+noQyKMsreA3mqe7pITsIyyv46aP8HTdTTsurQU/8sbYhUShdCaVeD42S\njthu77+3VH6IC5YX8OKL0BQXOoXSMeamvksQypHhmRhVkl/Pmi+FEsS86TffDPxzjB7tpWXGnpTs\naDvxhmD6Jx3wJJQAl42/jM/2f0Zrj2+F7njiQHc3OeHhAxoFADC5R4uhINJJKEcokjka5iPlOwCF\n0itcR4Y44KpQWq2o/u+v3Bb+HEaTgpOHeTQw7trFb+lhpMWmUZBUwEc5nWJcnQ+FUq2Gd9+1FzXs\nC5pCAZfOLOOgVT6QxwHXMHdfCMTyGmggjwOZERGkqtVs85Z2/Tv3Ufb0QLyyU/R4S3Dmh2dyoEm4\n/0KlUKakiMumIaEv6fWtt0Qd1hNxcXDm5GqOKuz7fkchf5BwjgyxJ7wC0NaGKSqcRmNwkwgcURfB\nwl8Ppa7F7NPyarPZAhpZ4wt+CeXs2bNJ9Da81g9kK7F5eVgPV/gklJ4nZmWlf7vrkdYj2LCxuXYz\n2sZGmrz8Ub7U61mSnCzYTGWl99CKQIN5fv1V+Fuhj1DabBQXizXDYcHxplBu7+gIKogiGCwbu4z6\nzvqQzqW8Oj2dZ4cPZ1FJCd/LWC08eygBtJZwWsPcbWlylld/hNJxXNhsNmHPdPmNp8TFMTk2lo/9\nDA0eKrgqlGXNZczOnk14WDhVhnpxcWxo8C8/+LJfDMbyajH2baS8vMcBezN2UAmAcXEBJ716YmLa\nRFadv4prvrzmd+11CxRGo7gAVrVVkd2hhPR00mLTaOlpoafXi6XFB6F87z1hk3UurXJDdWXgKB52\ndwM6HbaeHjprWvssry6Esi0llobOgRPK6GhhSbviCreAxaAVykAsr0arlebeXtnEcF+YEBMjTyj/\nBxRKRw9lVJ0ecnJIiEig3dgukgBlTB7BKpSO2pDNJpS5Xq0OqcEHsy8rI2nacP7yF/hw69BZXgvC\nkmkLQGj2RyiVSq+hrrKYOFGMB+4HF8urSuG9Kr2zo2NgCmVnp1vRNjk6mTNHnclj6x8L6rWGEgPt\nn3QgvzkJY3ISiTFiIz6MBColHz300dFi0fQyJs0r9HrxHE9padgw0R/Q3i7YgkrFWt0FbE1axCnK\nNe6P3bWLLSlm0mLSSItJY4PWgLWjXTCVQCo2LhWyBdll/HR0OCZT/0Ae14eD/1m8ToXcD6EMdkO/\n2Eva6/9COJnBAHGIlqc3dr3B56WfO+3gcoSytVX86QMN5HGguBgalEKhrK4WfZOnnSb/2CXFNezW\n2wlldra49gZ7nHrAaXl1VShbWzHHRtPUHZqxJP7gS6G06XQkGmzE471ge9RkIi4sjLhAm1dlEJIe\nSm+Qtbzm5qKukVcoU1LERcSz2n3kiHsgjxwc1rMN1RvQ1tfT5EXO/Eqv51StVjCaffvkFUoQR6hj\nurIv/PprnyWssFB86Z07USjEaJMffxQEqNfa6+yhbHQ5eLcNgd3VgTBFGPeceA8P/vJgSF/3j8nJ\nfFpUxIX79/frqXT2UHaKHkqAxF4V+jD3lcPT8nrsmHdCGRcnjgtHCttRk4lohYIEj9/46vR0XvW3\nqg8RHAqlvluP1WZFG6VlQqq9h8ExsM9f8JIvQikjXwSlUDp6KL0soAOxOkyNjWVrEME8npiWOY3Z\n2bP/v0h+dSqUbZXo2q0iPEdSkBmXSVWblx+hqEhUPz0IT3q6GJtz/fUuN3rGXvuAQ6W0WCUqVQVM\nij/EtGn9CWV3qmZQCiXAlVeKwItrrhHExWbrTyi1WnF4ersm97O8yhDKGqORjPBwlEEW1sZ7CeYZ\npxvHvsZ9mC2D2ygMFA7La0uXHnXdMcjMRKlQkhiZiCKqha6u/u6dYBXKxERRxGpsFLVPZUaq96Hp\nBoNYZLOy+Otf4f1NuZgPhp5Q6qJ16HojaAu30dYjP57IAX+EMlhMnNhfTQcEC9i/H7PZ6FWhtNls\nA7K8pqvVKBH9v65YMX8Fr2x/xRnQ9nujpLOTsYMYS2ZqCUPVdpgqpWBPab0RlNv09Fq9BI5Iknt0\naqBwBPJ4rgMKhfgdN22Cu+6Cf/4TjVbiw9ZFTGh0J5SWHdvZltJLUmQSkiSRrymgZe40EWoRSMXG\nhVBq9GUYMoezerXYLsoRSknyH8xjtVn7FHKdju4K+fM0WMsrwKLERL6TsRcXago52nGUDuPAir6h\nQE8PxNrascTGcNcPd3HGyDMobSoF5AmlI5AnWCG9uBjKe3OgvJx334Wzz/YIenLB6LgaygxZlJYi\nFtD09MBnsHmBm0LpIJQtLVgS4o4bofSlUHZbjdTFSqjqvO8HDnZ3DyrhFYaYUHqzvMY2ySuUIG97\nDSSQp7K1kmJdMRtrNqKtqaFJZgTHwe5uuiwWxjs6+Pfu9U4ozzxTdPX6Qm+vWOBmzBD/liRZ22uv\ntRelpEQhKWQVyqEilADnFp3Lb8d+o6IlNP0yDsxOSOCH8eNZXlHBkpISNtuJhSMgxNFDCZBgVtCo\n6E8oA1Uowd326to/6YolSUlU9PQE3dcXCjgUyoP6gwxPGo4kSX3R3cXFwtLqr/IzVAplr8tGSqUS\nkpJHKSuYhFcHxsXEUGYw0D0Im/Hdc+7miQ1PYDD7sE/9D8BBKKvaqkhsMTjVxGEJwzjSekT+SWq1\nWNB2uQcjjBsHd9zhkUwYoEIJor+xsVGQvcqwAp78yyFnAIwroTSnpw5KoQSxpL38slgqn3tOHG/R\n0e79okql+Lc3c4Cs5dWD+FT19ATVP+nAuOho9nV39wuHilZHMyl9Eh/u/TDo1wwFHMdLWJMe4uOc\nVmZNpIbmniays8V1zRX+2qzl4LC9lpVBdK73sA8qKkRVNiwMrRbmXJqL9fCRwHICfMBiEcKRVmvj\nWNcxdDE6pLY2jLGRlDXLNTT2wbGh7OwUy1sA40d9YuxYkaXXz0ZnT3qNqdN7JZTVRiMWm43MII9B\nSZKYFBvrNo8SIC02jTtm3cFN39z0P5H4OliFsqUFJP0GtpvELl3d0Q0JCb4J80Bsr77mxIwZI5rO\nFyyAqVPRaOCDpgWklK13H2i6axdHC3ROt01+Yj4Hpw7vC2LxB1cPf1kZY88azhtvCIXS2ygHR5i7\nNzjUSUmSMCemUPrLMdncx2AtrwCz4uMp6eqi1aOip1QoGZMyht0NASQGDRF6eiDG1kGtrY1TCk7h\nwrEXUqrvI5SeglOw/ZMOjB8PP/ZMx7Zhg1e7qwOK2mqyZmTy9tv2G0LQR+mmUEb2KZRSfMJxI5Sp\nqeI8lR3FYmyjPjHMR5OlfWTIIPonIUSE8r777nP+t84l2lRWoczIIMqgJytZ3iYmRyg9R4bIobKt\nkvOKzmNz9Sa0VVU0ySziX+n1LNFoxEITHy88+d4sr/PmiauTr7kMJSXi+RpN320yhNJsNTvjyj0J\n5VAqlABqpZrzis4bktlYRdHR7J86lVM1Gs7Zu5fFu3ezX2pzS3kFiDFJHPNoTB4MoXTtn3RFmELB\n5ampvOplwO1QwrGBPKg/yAiNuCA6bXfFxYHtFH2NDvFBKP3tV9wUSpAN5Agm4dWBcIWCCTEx/DjQ\nXhnEvKzJ6ZP5945/D/g1jgechLK1kqjGVufudyB9lFqtiAh3Q5AK5Z/+JH7C6ZcUoK4SjXTNhmY0\nUfa1qLoaKTNr0AolCJvtypXw0EMiSMhVnXTAl+21w9ThN5Qn2IRXB2LCwsgOD2e/jIf04QUPc9cP\nd3m3JA8hjEZQRnST3WpDyhnmvN3RRymXiROs5RX6loyyMkgc6YNQuszSA7j+77G0W6Jp2ju446Op\nSXzmjt4WolRRRIRFQFsb1rg4yvS+CaVDoTx8WCxJgx3DHBEhvqK3Pkpt5TGvhPKxqiouTk0dUOuJ\nw/bqiRun3cjhlsN8efDLoF8z1BhowqsDza0WzPo1/NzZg8lqhZYW4tNy2V3vg6wMBaGsq3MunklJ\n0K1KQCoeJ1JcAWpqsCglwtL7hIL8xHw2jYoRBd1ATjCNps9yUVbGnCuHs26d2Id6tnY64Bh36g2u\ngVC761LQWo/1m5tqtdkoHwChjFAqmRkXJ3sd/r2DeQwGMJv3cdiqZ8WCFYzUjvSpUG7bFlz/pAPF\nxfBZ9WSse/ejNHQ6NR5Z1NQw+Yws3n7bPmYoBH2U3hRKhUaL3tDfjjwUUCrFdbimpv99bT1tHNNE\n+CaU3d2ydut169a5cTxfCDmhnDt3rvN22R5KpZIGVRZ5iiOyrzVQhfJI6xEmp08mT6EhyWSkqbe/\nFcNBKAGxOS8v965QqtWCHK5c6f1NXfsnHZg1S1whjx5l5Ejx/csOm529G8lqtZNQ1hmNGKxWhgUZ\nRBEsLhp3EW+XvD0kldJwhYK/ZGRwaNo0/piczAvZJVjjTG49lNE9Fo7iXsF17aE0GMTC4qt4mJHR\nd6Ic8KJQAlyZlsY7DQ30HOdwHrNZiH9lzWV9hNIR2z1jBvg5EYGgFcr4eKEg+XMVufVQenmfgaZ7\nXZKayn8GaTNePmc5j214DGOvTGntfwQOQtlaVyEWNvvmzHV0iCy89FH2g7eRITLQ6cRn+fJLUI/q\nS2bxVCjVw/JDQihBbPjfeguefFKeUKameieU7cb2/j2UHnJmsDMoXeEtmGdW9iwmpk3k2c3PDuh1\nBwOTCYjSM6o7WlR+7PBFKIO1vIK7QplarPOejuQySw+EGN6ZnMvHjw6uMu/ZPwlAWxvKhES/dk/H\n/iAUdlcHvNpeR48mtVJeoSzr7uaDY8e4y+V3CgZywTwgirnPnvwsN6256XcpajigN5tpt1jIGcQ+\no779GNEWGBUVzbrWVmhtRZcxwvdonlATynPPhQ8/dK6TGo2woCoWL4I1dtvrrl00j8h2FrMBCpIK\n2G+qhUceCaw5T6mE5GRxUvX0EFOQytKlYg/qrcXb7qr2CtfRXd/tSiaFY5Qfct+P1ZlMxCqVxA6g\nh+0ke9qrJ37vXvLmZtje/ALp6YXoYnQUJBVQ0VKB2WKWJZTbtw9MoRw+HCobIiiPncBtszf1c0y7\noaaG3NmZxMXBli2EZHSIW8qri0KpSko+bgolCH1LjjO2Gdto1sb4tLQdtOdoeGLu3LmhI5TLli1j\nxowZHDx4kKysLF5//XV/T3FC1vIKlJNHulG+IjAYhXJYwjAWxI3HFi5hBTcrXntvL1s6OljgqFDF\nxwtpxxuhBJEx/Mkn3u+XI5QqFSxeDF9+iSQJofPHn+QVSofddSgCeVwxLWMaVpuVrUe3Dtl7qBUK\nrk5PJ681kcOZNSgVSmLUwmITYeilxubOelx7KB0zKH39GQKxvALkRUYyITaWlR4JvSarlR9aWtjc\n3s7B7m6OmUz0BjFD0R9cFcrhSaKMmZeYR4uhBb3U4xLn6QNBEkoIzPbqlvIK/RRKqz3dayD++fNT\nUljb0kKDyRT0cx2YkjGFMSljeGPXGwN+jaGGyQQqtQWprg7JZc1wHR0ii0AJZW1twJbXf/4TvvvO\nPtbLzihsNpt7IEB1NdH5IwdteXXFokXw+utiX+eJtDTvXKbD5N/yOlCFEkQwzy4ZQgnwyIJHeHzD\n4+i7j0+V2AGTCaTIZkZ0hrtdvEKtULoSyuyp9h5KucKhB6EESJ6Wx67PKgY83QG8E8pwjS5gy+tx\nIZRFRaRVNjuvw664u6KCm7Oy0AYZCOV8T/ssSrmC7Un5J1GsK+aJDU8MeYT2BAAAIABJREFU6LVD\ngT32/knFIPYZdV21aFQZLNVq+UKvh9ZWMrPH+rZTDoRQOnoo5ZCVBaee6vynRiNESxa5E8ra/GRn\nuw1AflI+5S3lcOutgac8paYK1bOgACSJG26AZcu8P3zUKCgt9e4Wco4MAb79NQqrUkXNfvcixCGD\ngeEDtBz+ITGR72RCEuWCeUyWgV+rg8W2tq+x9tSQnzMBgIiwCDLjMilvKe83NkSvF60c3n5+XwgL\nE9xh5bFZnJrwq+8HV1dDZiZ/+IPIOAm55dUllEetSabd2O691zjE8LYfbOtpoz0l3qdCWTbIkSEQ\nAKF8//33OXr0KEajkerqai6//PKAX1zO8mqxwEFzLpo2+R/QM+m1t1fstbw5UwEsVgs17TVkxWcx\nPXI4+khbP2vpF3o9s+Lj+wbGxscLj42vxo0//EHYWuVsRDabGFrkSSihn+3151/7FErXUJ5tHR1M\nGkK7qwOSJHHR2It4p+SdIX+vEXXJHExtcFvQVQYjVVb3XYur5dWf3RUCs7w6cE1amls4T7PZzKKS\nEm46dIgbyspYsmcPRVu3krNpE68ePRoSYulQKF0trwpJQXFqceDDhTMyREnPWwTkAAmlWw8l9COu\n1UYjiWFhA6qMxoWFcVZyMm/5mhsRAJbPWc7Dvz78u4Wo+IPJBJaoOkYa41Ck9ymJfi2vo0eLRdxf\neFGQCqXz8Lczig5TB5FhkWLDbLVCbS0J+WNCplA6cOml8pYkn5ZXo7C8Wq2wdSt9KT4uLpJgZ1C6\nYoKXYB6AQm0h544+lwd+fmBArz1QmExgjdAzrF05pAplfr6oa0ZGQkJmjKjKyZFrD8srQMzYPBYN\nP8zzzwf3nq7wnEEJQGsr0cnpfgmlq+U1VIRywgTvSa/p1a39FMqt7e382tbGTb4Ky36QGR6ODaiV\na14Cnlr0FE9veprDLaEJQQoWg+2fBGgy1aCLyuCEuDihxra0kJ83KbSE0hFX7M1X6oGzz7YHm02e\nLNbP2lrYuZOyrGh3QpmYz6HmQ95fSA4OQmn/LJMnw733en94UpI9jNDLGuiwvBoMYg006zLp2ud+\n3Sjr7g7a7urAmOhouqxWyj0UnLEpYznQdACTxcS2o9u49PNLiX8kntVlqwf0PsGgsxMac1/g3OyT\nUMb3VcpGJY+itKm0n0K5ZYv4Ow9wsg3FxaAfNYukvb94f1B7u7g+JiQwfz6sXUvIFMp+Y0NaWlAk\naUiISKDFMIiqXRDwpVB2pyZ5JZS9VitHenoGPb7wuIfyNDRAQ2QuYdXyCqVWKyqXDvJw9KhwH/ja\na9R11pEUmUREWAQTVNnUqAxuhNJms/HPmhr+7KoAxMeLXZCvTXREBJx8Mnz2Wf/7HIkKcl7ck0+G\nn3+Gtjbmz4dfN/YplJqwMJrMZmw2G9s7O4e0f9IVF427iA9++2DIN+yZtRpqE4wkxw0TN9hshHX3\ncKTXXTF0tbwGQyi7LRYazGafNuGlWi37uroo6+6m3GBgxo4dTIyJYefkyWyZNImyadNonDmTz8aM\n4b1jxxi7bRufNzYOyhIsQnlsHGo+xHBN3wXRmfQaCBQKcTzJ+fkHq1D66KEc7DDbq9LS+Hdd3aD+\nfjOyZlCQVMDbJW/7f/DvAJMJTJFVjDYnuCmJfhXKsDBxpZOVTVwQhELphrQ0aG+n5VhVn921sRFi\nYkhJGcaxrmPHJRQkEMvrCy/A9Olg7FX2JQvZMZAZlA44FEpv3/PeuffyTsk7wW8qBwGjEazhejLb\nrAETyoEqlFVVLntwGfUXkFUoyc1lQe5hnn124DPonTMoO+tJje5TKBN1wwLuoQylQjl+POzZ41ar\nEBg1iszaDtRS3/XeZrNx++HD3DtsGNED3cXSF8yz2UtRY1jCMO6cdSeXfX4ZFuvxn5M82P5JgFZL\nLekxGRRHR7OnqwtrWxvpWaPpNHV6t/QlJgZHKI8cEUno/tLQ7Rg3TqwnKJUiqOfbb2HXLnanK9ws\nrzkJOdR31gfXUuFBKAOBL9urw/K6YYM99H3UaCLK3a14AwnkcUCSJE6SUSkjVZHkJeYx4eUJnP3R\n2RQlF/Hqaa9y85qbh3wvuH8/KNNKyAtLtttpBEZqRsoSyk2b4IQTBv5+V10FZz4+QzBTb5Hjjtnz\nksScOeI9e9KD76G0WMSM5o8+ghdegM8/l1coSUhAE6k5rqND5PaDrT2t9KSleN0sHunpIT08nPBB\nNrIf97EhtbXQkez7B3S1vQaa8DosQTwoxxzN0XAT8Qqbk1Buam+n2Wzu658EsTn3JXs68Mc/yqe9\nOuyucjaShAQhTa5cSW4uqCLMYBGEMkKpJEKhoK23d8gDeVyRn5RPQVIB35Z/O6TvY+sMI6WzB2vi\nFHGDwQAqFbUG902Op+U1UEJZZjCQHxHhc7yAWqHgktRUbi0vZ9bOndyYmcmTBQX9njM1Lo4fiot5\nKj+fe44cYe6uXfzmxTrnD2YzNPceJUYd42bvC7qHwVu1bDAKpWcPpYfFYyAJr66YHheHUpL4NdiI\neA9cO+VaPtr70aBeY6hgNIIxspICY5Qb8cuMy6Suo863pcWf7dVkEjt6z9lrgUChgPx8DLu39xHK\nmhrIyiIiLIKIsIjjMmDdn+W1tSGO++8XX3HfPvoF8wxGodSq1cSGhVHRr2FfICU6hVum38Lt398e\nMLmu6elhwyCOZ5MJLOpm0vTGfpZXvUEfMoUyJUUU53wSSqNR/DiefSN5ecQ3V3DmmTIhUQHCm+U1\nSpuG1Wb1aTV2tbwOZJC3HGJjxX6xtNTjjoQE2mJUJNT0bey+bWmh1mjkCscgwUFgWUoKT1VXez2+\nbjrhJgCe2fTMoN8rWIRCoWynluyEDBJUKjRhYZRHRCAlJTFON857H2VCQnCVijVrBDEcCBYtEv2V\njY2UxHa5KZRhijCy4rK8p3HLQafzqNT4x8iRPgil3fK6dq3YGkZOLkLbsBdXc9RAZlC6wlsf5f3z\n7mfF/BWU31jO32b+jQvHXkhuQi4vbn1xwO8VCLaUtGKLaCHJrHQrEjiCeTwJ5ebNMG3awN9v2jSY\nsSRR7G92eSni2+2uINbaoiLYdEgrFuwgih9PPCFS1j/6SISAjR8vCK1bjkFLCyQmOouIxwNeFcqe\nNnoz+qf7O3BwkMeeA0OuUMoRSnOmb8+yK6GsrAyAULZVkhMvLpaK5mbUKWnYzK1OQvlMTQ03Zma6\nE4r4eN/9kw6cfLKoeHgOjpXrn3TFBRfAe+8hSTBtuhlTT1/vhlaloqSrC4vNNuBN1EBw8biLh1wB\nMhggrbWBpmh7vnZHB8TG0mXqcqsQulpefc2gdMBBKH31T7ri6rQ0NrW381phIdf6sBJKksTJGg07\nJ0/m/JQU5u/ezW3l5XTKhDr5gskENYY+u6sDztEhgUKOUJrN9vzt/puCQBVKN0Kp0wlbrb2iPpCE\nV1dIkuRUKQeDOTlz2Fiz0VnFr+rp4dggejNDCZMJetRV5HSGuRFKtVJNSnQKte0+0qD9Ecr6+r4h\nvAPBFVeg+8cTaMP7+icdxTJdtC7ktlc5+LO8rrgvluXLRU95SQluwTxtvb3YgIRBDFQeHxMjG8zj\nwE0n3ERlayWL313sfW6oCx6uquI2b4nLAcBkgl61Hk1Tt5tC6ahWazRCRXPdwwxkbIgkCXXPjVB6\nMvuKCvEZPP++9rXmvvvgtdfEtTYY9PaKHqTCwv6WVykxkeGa4T5trxERoqhYXS32gKHCxInyttf9\nebFoSoRKbbPZuOPwYR7OyyNssPGywIU6He0WC6tkBsyDGOHwxhlv8Mj6R9h7bK/sY4YCFpuNvV1d\njBmkQmkIqyVPK/ZLxZGR7M7Ph4gIinXF3lNEg7W8rl4Np5wysA/o6KMcO5barno3hRJEQT0oh4Kj\nyOCp6vuAL4XScQ3+4QdBKNUTihgXtg/XQPqBzKB0xcLERH5sbe3XwnPWqLNYOnIpSoW4vkiSxJMn\nPcmDvzw4pETnl4O/kaYsQuro8EooHfzAag2eUP7U2sqNZWX9izizZon9uRzsxVYH5s+HH36UZJPv\nvcFoFDkGn34qIlb+9S+4/34YW2zGYDb0BdDZF/TjSSizs71bXlXJOnFhknFSDNal5sBxt7zW1oIi\n304ovVTzPBVKv4E8rX2EEr2e+Ix8urrqaDKbqerp4fuWFi73rEJOmSLIoj9ERYleyv/+t++2igr4\n5huYOdP78049VWwi6+qYMs2MobOPUCarVHzT3HxcAnlccW7RuXx96Gu/A6cHg54eSOg4QLVSh8Fi\ngc5OpNhYUqJTONbVl+wYrOVVpxMFn30dvvsnHRgRFUXDjBmc4qpK+4BSkvhLRgZ7pkzhmMnE6K1b\n2RSEQmE2Q1Vnf0JZlFJERUtF4HMW5UaHtLeLBVnmWAm0h9ItlEeS3Ky1oVhMLtbp+G9TU79ZWMFA\nG6UlIzaD3Q27eau+ntFbtgxqUx9KmEzQpapE127tZ00NKJhnyxbviQ1BjAyRxV//ihkLF/1gv2i5\nEsoYXUiDebzBl+W1rrkdtS2W668XNrXdu3FT0hwzKAezFvrqowSIUkWx8cqNnJhzIpNemcRL217C\napPvnTZbrXzc2MjOzk6xhg0ARiOoLHWozBa3sVKOzYUks4cZiOUVxGVoit0QQmpqf4WyrEx+Y5yZ\nCQ0NpGuMXHcdLF8e3Ps+/bSoyy5dKgilLsa+iNvdFMOThvtMeo2IEB9Np/Pd0hIsJkyQd5iX5EWT\nuEsM/ztoMKA3mznTdaDqIKCUJB7Jy+POw4e99uTnJeaxYv4KLvn8kuPWK15uMJCiVhM/iGKNzQam\niFoKdGKNGq9QsNs+kHHusLl8d/g7+ScGQyh7emDdOkEMB4LMTNGvPmGC2wxsBwoSC0QwT6Bw7BeD\ntLz2U8btMPYaCSOc336z23SLihij2Ou81NsGODLEFTq1mpzwcLb4WAcdKEop4ryi87hv3X0Dfj9/\nKKkvYZRmrFNUcMBBKNVqm1OhLCsTa0kwZoGv9XpeqK3lWc/RfrNm9Y2R8YTD8mqHY7RfMH2U774r\nZt4WF7vf3trTSnxEPArJTqt+J4XSWyhPfESCV8Y50FBGT/wulteEPBdJWAbBWl6PtB4hJ8FOKJua\nSB02Bn17OU1mMy/U1nJpamr/wJGFCwNL3gTR/f3JJ4Id/+Mf4ur9l7+IK5c3REaKK+2HHzJjjpnu\nTpXzeNWqVKyxE8rjCU2UhnnD5rFyv49RKINETw+YeqvJD+tlTXOzWExiYtDF6Kjv7KucB2t5VSqF\niLOrOTCFEnBuUB1+d3tOkk/o1GreHDWKx/Pzuay0VMzc8gOzWeyhanvKnAmvDqiVagq1hew5tieg\nzyy7sHmxu0KACqXV1D8u32X20mAtryDG4ZyUlMT73qbbB4hp2fP4U9kRHqmqYuWYMazS6we8qQ8l\nTCboCqsiqcXQj1AOSxjm2041cqTYPTuSCD2xerXvtcQfFAq+u2sZZ31+UPhJfweF0jEL3JMzl5ZC\nu7GDl5+NQ6FwGQDuQigHk/DqwAQ/CiWASqniztl3su7Sdby+63VOevsktyKXA9+1tFAQGcnY6OiA\nNmdyMJlA011FV6rWrRDkurlwJZQmk1hHBnIaXryijYlz7Uq+nOVVrn8ShGKZmQlVVdx2m7MFLSAc\nOACPPgqvviq+XkNXg5vl1UEoffVRhoeLKRGh6p90wFvS6+5hkcTv2gfAxrY2ZsbHh7Sge0pSEhqV\nire8zQIFrpp4FbpoHQ/+/KDXx2zv6GDa9u0hWfdC0T/Z2QnE1ZKTKAhlcW8vu+zH0x/y/sD66vV0\nmbr6PzEYQrlundihJyUN/IP++c9YTl5Ms6GZlGj39oH8pHzKm4MklLGxQbUh+OyhtBjp7ghn2jRx\nKWDECNJMlVSUCkZVbzIRrVQSNwjiD3bbq0zaqxz+MfcffLT3oyFTzKuMezghb2xfQdwOTZQGlVJF\nl9TgJJQDsbvu7uriqYICVlRWst61+D97tlAo5Qq4LtdGEMW4XbvAlBkYobRahd31ttv63+fWPwlu\nCuXxmkWZmCj2u55aSJuxjfiIeK+M86DB8P+HQilHKDMyfUvMRUViX2SzBTcyBAC9nmH5k6hrLqXC\nYOC1ujquH0z1H2DJEnGAFhUJw/SOHXDHHb7nXIDT9hoRaUanVfHoo+JmrUrFjs7O45Lw6olLiy/l\nxW0vDllQR08PtFnrmBcTJkZ32KtTnhvbYFNeQYg4pV2BKZQAGzbADTeIPdN118E113gXiSor7Rtd\nO85LSaEgMpKn5abEemDvXrvg196nUBpdiOj41PGBDxf2Rii9SBcZGeLv58uh6zoDywl7H6XBYqHe\nZArJLNSr7Om61gEeW/u7uvgm/gyauurYOmkSJyUlMTk2VsTU/84wmaBdUUl0U3t/hdJf0qtCIQpR\nd9/d/wCsr4cXX4Q77xzU56vUKPn+ihNFDGtFhRuhdC3kDBUiI+0pdy41QpsNLr/CiqTuZmyhsGsX\nFwuF0pbioVAO8vjzNTrEE0UpRWy4YgMnZJ7AlFensKPOnX2829DAhTods+Pj+TnYsQd2mEyQ3FGP\nKcN9YfNGKB2neLD8pqy7m4W7d3O344W8EUpvSot9vYmNFQrl7bf7f0+rVfQP3XNPX++jZw8lCQmM\n0Izwa3k1m0NPKCdMEJtEz1rgnkwVEeVV0NXFhvZ2ZgQY/hIoJEni0bw87j1yxCsZlCSJ105/jdd2\nvsaV/71S9tz8rLGRPV1d3B+sB1kGoeifbG0FYmvJiLMrlAYDu+027viIeKZmTGVtxdr+T5QjlN7O\np8HYXR244QYaTpyENkrrtHc6UJBUwKGWICyvRUVw7bVBnZCZmYI7yRmbTBYT7c1q5s+336BW05aY\nS/s2oZgP1u7qwEmJiXwXYN+qJkrDXbPv4pZvbwn5frC1FQyxezixcJzYA3qcayO1IzlqKnUSyoEE\n8uzu7OQMrZY3Ro7kvL17qXe8WFaWuBiVyaw9HgplVJRILT9kCczyunq1WLfkWn3dEl7hd1EoJUm+\nj7LN2EZ8eLzXJsuD3d3/+wqlN8trRgZuCokTt9wC99xDUpKwRFZXBxjK49JDSVMT0ek5aNVqPmo8\nxuyEBPIiI+k0dfruc/KF2Fh46CF4+WX4+GO3nhifmD8fqqpQlh8mI03Fxx+L41mrEvbX461QAiwd\nuRSrzcrH+z4ektc3GKDVUscZWi1f6vWYOjshNpbUmFQ3650noQykEDh2nI0jlsAUym+/FXlKqalC\nndyzR1RuPN0RDjzzjJj20uVSaP3n8OE8XlVFjZewDwd27BCLkmMG5ZPV1SSvX+/cVASV9Oo4L1x3\nQz4USpVK8Js//1mI6HLcq18Ppcv7HDIYyIuMDEkf0cLERGKUSkZt2cKLtbV0BVFhbzWbOW3PHm5M\nT6V77/1EKRRgMHBhUhLv+aj4Hy+YTNBhq0TV2Nxv1FBOvB/LK4iD0WJxt84DPPCAIIEDHKruQLOh\nmUPnLBAlypUrj7vlFfoH8+zcCXX6TqJUkU4bUFqaIJpt4SkhVShzIiIwWK1+z1UHlAolD85/kCdP\nepJF7yzivT3vAdBlsfCVXs85ycnMTkjglwEG85hMkNzWhDXbPfgtPiKeLnMXZovZjVAOJJDHbLVy\n0f793JqVxUeNjRw1GuV7KL1ZXsEtoOuaa8Tn+dZPbtsLL4j/X3+9+H+vtZdmQzPJUcluXyaQHkoI\nPaHUaMRp4FmX61L0Yhw1ArZtY2N7O9NDTCgBpsfHMyU2lue9XWiAtNg09l67F02UhjEvjmHFLyvc\nWiK+bWnhP4WF/Keujh0DVMgdkFMoO4zBvWZNYzsoLGJDCgxrbaU1MpJme3vDkuFL+PLgl/2f6Eko\na2vFZn61x8gKmw2++koU7geJuo66vsKGC/ITg1QotVp45JGg3luSvAfzGHuNNDeGuxGR7twiJLsV\nbzAJr66YFR9PSVdXwK0n1065lmZDs1tg2WBmSjuwd68NSbeH4lS7Qumx1x2pGUmtsXTACmWjyYTB\naiU7PJyTNRquSkvjvH37MDv2Td5srx6EEsQ2fdOxwBTKxx8X6qRcncGXQnm8CCV4IZQ9Lgqlx50G\ni4VjZvOAU9Zd8btYXjMy6D9MtLFRTM3+4AN44QWKigQJqK72vdey2Wyih9JhedXrQaOhODEHkw2u\nS9Px/JbnGf7ccOa8MWfgA0ZvuEH0UgaDsDA47zziP/2KuMhIrrhCyOValYpUtZr0AQ5SHgwUkoLH\nFj7G39f+fUgG3Pb0QIu5nvFJmYyMiuJHo1FYXj2UkmB7KAGKFxiRepR++0F6e+Hmm+Gll+Cuu8Sg\nXEkSTuWtW+Wfs2mTILkrVvTdlh8ZybUZGdzqp49v+3YYP7GXitYqnmtR8mZ9PelqNdvsm4EJqRPY\nUe9nbIQD0dFiZ+nakOaDUIIYcj9qFPznP+K0mjnTfRSd61BlBwy5uXykUnHToUMUD7KC7YBCkvhp\n/HheLSzk+5YWcjZu5PbycvR+Lm5Wm42L9u9niUbD3wvGEq4MFxvR667jzBdf5MfWVufm5fdCu6kV\nbbdFbJI8zlu/PZQgVMoHHhAykOOid+iQSCYcpDoJ9nS5KI04CFJTnbv042V5hf7BPO+9B6ef0+GW\neixJQqU81NEXylNlNA76YiZJEpenpjJ661ZO37OH1+vqaApgY3T26LNZe8la7v7hbu7/6X7+29TE\n9Ph4UtRqZsXHs6m9fUBzao1GSGlvRZHjnjajkBQkRSbRbGiWVSiDwQOVlSSpVNw3bBiX6HQ8VV3d\nv4eyp0e4arwRShdHhMpm4pNZT3PonL+zx4tD//BhIba/9po4pAEauxrRRGr6VCEPy6s39cPxk4cq\n4dUVcn2UJosJ45TxtG3dSoXBELJ1zxMP5ebyWHU1LT7WrPiIeB77w2Nsvmoz2+u2M+6lcRxpPUKT\nyURpdzdnJifzRH4+Vx440LdJHgA8FcpjXcdIfTKVB39+MGBVqqyhlnBjhtMerGhtZVxLC7vtF5lT\nR5zKV2Vf9X89T0J5xx2i+Wz5cnenxoEDogIzduzAvqQL5PonQfSvHmk9MuRjW7zZXhtbhOV18uS+\n2xRji4g+IghlWYhSNiOUSmbGxfFYdXVApFKlVPHNhd/wbfm33Ln2Tn5qaSF1wwbO2buXw55qUBD4\neXcVaikaTZSmn+UVhEJZ1S0IZXe3+JsF0/Wx214ocRyT9wwbRpRSyX2OcX7egnk8LK8gCOXqUv+E\ncssW4WQ75xz5+90Uyp4eUUCOjDyuY0NAvg3KqVBmZ7P2zWp++qnvvkMGA7l+JicEipAQSm/ExKdC\n6Wl5/fe/4cwzRZ/RihWcH/4Z338vKo2+zrPG7kaiVFHEqO2LZlMTaLXMTR1OfEcJV78zjdVlq/n6\nwq/JistyVqKPGy64gISVq5mROZ1bb4W33oLIHvVxD+RxxYK8BYzQjODlbS/7fazR6N0mKodukxGD\npZOkyCTO0mpZKUnC8hrT3/La2dkXOhVIdo5usgFLRRT+hK+XXhKb29NPd7/dG6E0GoXd9b//hVde\nEX09DtyRnc2Wjg7W2m0kNpuNre3t/LWsjAePHOHHlha2lFhIHF2BcuzDVBpN/DphAidrNM4xGpPT\nJ1PaVOozQt8NnrZXP4SyoABuvVUUfpuaxNzW117ru99VoVy93kT+K6WkJyTwakEBF+t0vDJihJdX\nDh6SJDEnIYGVY8awddIk2i0WRm7ZwpPV1W42YFc8UFlJm8XCE3YSNDtnNhtKv4ePPyZ+9WpOSkri\nU5eZhQNBl8XC38rLea2ujt2dnUFv0vSWKkZ2pSLJzIr0a3l1YMkSceB/ZB+Nsnw53HSTqIYPEnqD\nXsSV23viHCE/nufdUMI1mMdigfffh5NO7ehLvbNj3DjY2+TSQ2kP5RksniwooPKEEzg3OZkv9XoK\nNm/myyb/F/JxunFsvmozL259kZeqyrjQbpfQqFRkhYcHbKV1hckEaa1dhOf1t5o6NhiDUSh/bW3l\n1bo6Xi8sRJIkbs3K4vX6epqTk/sIpdUKl18ueor8EcqvvoKxYxl3dA1X9f6L8+fWu4npNpuo906f\nLhINCwv77nOzu1osolIYG0tiZCJqpdqr5drxk4daoQT5pFeTxYR56hS2VFczMTYWVQhcGXIYFR3N\nspQUbpCz3HkgPymfT8/9lBun3si8N+fxQW0Zc+LjCVcouEinI1Wt5nEvUf/+0N7bS4PJ5KZ8Pbv5\nWZYMX8LH+z7mpm9u8hpM5Yoj+lqiLS6qTksL4zs7nefFCM0IolRR/V04roRy0yaRfrJmjTiYPv+8\n73EOu2sI9kN1HfKEMlIViTZKS3X7wP6WgcJbME/JXhM6jdotaDluehG6ptAqlACP5+dzyGBg2KZN\nXLx/P+taWnwWDzRRGr6/5Hu+LFvNBbt+4bXCQsbHxDBl+3ZuKy8fUNDexsN7yAq3Fwg8QnlAEMqK\nDkEod+wQDuNgvv7uri63gpBCkni9sJBX6+pEOJujj9IV7e1CbfCo3E2bBj9VDsNWWelzzM3jjwuh\nwpue0W8GZWIiSNJxVyjz8tz3sNCnUJp0WSiqq9ziHEIVyAMhIpRba+VlH0+FsqPD5fd0tbz29ors\n3RtuEERz1Sou+Okaaj/ZGNAMSqc6abM5FcrzC+Yzp/N73lj6OqsvXM341PEsn7Och3556PgOF546\nFYOpiz92DyMtDZYtg5q3k/lXEOlhQ4FHFz7Kg788SLux3efjFi0SxCxQ502nrR5NeAoKScFZycl8\nHhWFxWF5lemhPHZM7KcDubY3RnYT3RwlUiK9QK8XG55nnul/fZo8WZ5Q7tolVMzhw4VYdMMNfSQ6\nSqnk6fx8bigr4+WjR5m0fTvn7dtHkkpFm8XCXYcr2HbXem6OqCFJaeWLsWOJCwtjZlycs1E8UhXJ\ngtwF8rYgOXgQys6ODiwB7jbVaqHKPvlk32xfRw+l1WrjopIDVJQWvFsBAAAgAElEQVTDltyxfHfr\nrVwmF1gVIuRGRvKvESP4efx41rW2MnrLFt6oq+OIweC8wH2l1/PK0aN8NHq0c4M3O3s23Z99CFOn\nQmUlF6jVvDtI2+snjY1839LCT62tLNu3j4Rff+WMPXtoC3A8zG/VlYw0JvbrnwTIjs+mur3a/+ZM\nkuDBB+Hee8WBuG6dIJQhgNv8K5fxI7ro38fy+ssvorCRktVOrNp9M1FcDNtrXHooQ2B5dSBRpeKi\n1FQ+HTOGb4uLueLAgYDmSSZHJ3PbiQ+yoaOT012qW7Pj4wdkezWarKS3GYnOH9XvPscGw0Eobbbg\nRoa09fZycWkpr4wYQar975YVEcEZWi3P2Wx9hPLee0XPyBtveN+s5+aKStqtt4rY1m++QX3OGXx9\n0btcd52YT7lvH8ydK1p9v/5atJa5wo1QOuxt9nN5SsYU1levl33robK8gnwwj8liwjZtKht6e0Pe\nP+mJR/Ly2N7Z6X3d2rHDrVJ7w7QbuPmEm/n7zpVMse/tJEni5REjeLqmhv1dMqE3fvBbVxejo6Od\nykOHsYOXtr3EigUr+Omyn9hRv4NLPvOfOFvTVkuc5JJD0dpKscnkVCgBTh0uVEo3REWJi5DRKNa5\nFSuEUnX//aIB11HUC5HdFewKZWx/QgkwM3sm3xz6JiTv4w3eFMo9+41kpLmvcXHTixjRu5fWVvsM\nyhCEogCMjYnho6IiDk2bxqSYGK46cIAVfpL7tFFarl/yKS09zVQdeJW7cnL4bcoU9GYzs3ftCrrH\ncm/THsamjBP/8KJQlrftp6dn4P2Tng6D1PBwHs3L46oDB+gdNUpsBl3t/w67q8daqFbDxJmRHDr5\nRlHt/M49tdhmE8bJdetE77g3tBg8CKV9QT/ehPLEE8U4J1c4FMrdzVlkUu3mBg7VyBAIEaH88ciP\nsrdHRop9seMEc6iTkoS75XXVKqHTOjTvSZOouO8tnq05k8ka342ybv2THR2i7BkeTlZ8FquWreLE\nYSc6Hzs/dz7aKO1xHZ5e39XAB2Mlxn4vEl/+9jd4419hRBsG71ceDMbpxnFywck8tv4xr4/ZtUtM\nsEhLEzbKQDICupR1pESJBT0vMhKdycTmzMx+G9uwMNH/V1UVmN0VRBrp6NiofieLK+67T1gSxozp\nf9+UKWKSi+fa6LqgXX+9OE5XugThLtVqGR8Tw5rmZh7Oy+PQtGncO2wYj+fn87J6IsP/bxbXqQ9y\nunTISYpmxsezob3dGVBzxsgz+O8Bj/45b5g2TUQobtmC2WplZk4O/wzCDjRliiDH778v/u1QKP/6\nfR2GaCMztoyg7LckweqPQ3/iqOhovhg7llcLC/m8qYkZO3eSsmEDJ5eUcHlpKR8VFZHmQihmZ8+m\n8JttcNllMHcup2zbRklXFz/u7QlqrJkr3qyv587sbN4aNYp9U6dSP2MGGeHhzNu1y++sy507obK1\niimR0bKEMlodTYw6RjYxtB8WLBCvsWSJCOkJke3OjVC64HgqlK6W1/feE5lkHUZ3yyuIa/YvB1Kg\nsRGrxUKt0UjmEMzjnRoXx1sjR3Lmb7+xL4ANeUTaImI79/H1gb6Tf6B9lB2mdoa1SYTl9WdLjg1G\nTIz4+evrg7O8rqisZGFiIqd5KNu3Z2fzfFMTHRERotHxvfcEWfRVfZ4wQdiu9+zpC0W5/HKy177O\n5k02Vq6EGTPEmrppkyBqnugXyONS/Fqcv5g1h+TTjePixGU/MVH27kHBQSgda323uZsOYwcxBaPZ\nOGIE010nqg8BopRK3hs1ipsPHeKIp02rokI03V92mZCy7bhh6g0ok07g39//yTkrNTsigntycvy2\nXcjBs3/y3zv+zfzc+RQkFZAQkcCai9bQZmxj4dsLefiXh3m35F1+qfyl3+b3aGctiWHuhHI8QiVy\nYMmIJf0JpSSJg/rFFwV5vPhi+4NdnBrt7cJL6EyrGRy8KZQAl4y7hLd2vxWS9/EGuR7K3l7Y/ZuR\nvGz3NU4aMZxMqvnkt2Mc7O4mPwQ9bK7QqtXclJXFuvHjea6mxj0J1QM9FguPHG3ivfEn8p+d/2bt\n4bWkhYfzWmEh3RYLO4J0adT2ljB7xFhRUJCJrx6WMIwmwzF6rF0DS3jt7KRYJr34stRUEsPCeLq2\nVixcq1b13ekxg9IV8+fDc9mPC2vXFVcIVaG7m7IyWLxYRKh88YXvy3VLj4vl1R7IA8efUE6dKvbt\nDnOOzWZzKpTflWYRG9/C9r29TrHv4P+aQvlDxQ+ytzsuRPPni4HWr73mMm5t2DDBJiwWeO65vg5/\nO9KvPJkXuI6rD//d53sfaT3iFsjjyz4mSRLL5yznwV8eDMjqEQp8W/4tR0+ZjWLlZ2CzkZMjFL/n\nnz8ub+8TD8x7gH9t+5fXsKLnnxfTUV5+WZxj06eL5FRf6FHWk+qyoC+tq+PzjIx+Y0NAXFMOHw6c\nUG7r6GBubrRXQrl3r9gb/eMf8vfrdKJ47nltdiWUKpXYi918c1+PpyRJvDd6NCvHjGFRUhIKlwrX\n9u0wpVhBe8seCl1mUKaFh5MYFsb+7m5ABBesrVgb2DzK668XdsjTT+eZl16iWaFgpQyR8YU77hCc\n1GoVhLK2N4x/mQ7zSNwoTpqnEH/DIGYvhQLzExP5fOxYjs6Ywa7Jk/lzejofjR7NTPsGtKVF2IVG\nSclMOWSgbsE0WLiQ8O+/Z1yblkWPHOOCC4KzYAMcMRgo6ex024DHhoXx/PDhLNFomL1zJ1U+wlye\neAKKTzxCbleYLKEEGJ08ul9aqCwkSVTq8/Lg6quD+yI+4JVQ2gs5x2PuncPyajSKoc/nnw8dpv6W\n19GjofSwGltsLA2NjSSEhRGhVHp51cFhsUbDE/n5LC4podpPYM8HjU38bfgkbvvuNrrN4rydHR/P\nr21tQVfou3sb0HXaZOeLyiW9Bmp5tdlsfNrYyHUyx+GIqCjmJyTwyjnniPXjyy/9p52FhYnAKFXf\nnGRmzwaDgYz67WzYINqOrr/eTfh2Q31nPbpo9xmUDiwqWMQ35d/I/v3kgnNChbQ08XkdJqi1h9cy\nJWMKkepoNhcWMv2334bmjV0wITaW27KyuLi0FIvr9//gA7jkEvGjL1kiSBWwr7ubhPAYbi4+l8Xv\nLKanVxyvV6WlsbWjI+ieNtf+SZPFxFObnuL2mX0xvlGqKFaeu5KLx11Ma08rX5Z9yR1r76DoxSKa\nDX2jJ4711JIS7nIct7QwJjycA93dzrFac3LmsK9xH41dHq0JCQniWHzmmT4bkiSJfvL77hPzvGfM\nCFlhzZdCeVL+SZS3lPscZTNYFBSI88V1qfnqK0jUmkjV9vXed1ssvNrYyKTXXuUfHaU8N3w4Ca7n\nYAiRGRHBq4WFXLBvn9csgudraymOjuaMtFz+teRfXPPlNXSZupAkiWUpKbwfROG5qQnMiXsEoXTY\nXT1UQaVCSUHScIzRB4NWKE1WKwcNBopkCKUkSbxSWMijVVUcuvtuUbT97DNxp0wgjwPz5wthck/a\nSWx4qYSa3XqO5s5g5gkWTjpJFKf8fUZvCqVrENvxgEoFc+bY52siimkqpQq1Us13G2M45fFHMH64\nnlGbtnDJ/v2sa23931Iotx7d6lz8XKFWC4dXZaUgJtu2icIcICoWSUkiUu7gQXFRc0FCAnyQdgsF\ndT+LXbsXVLa6jwzx14y3KH8R0aroIZ3F6Io15WsYfeLZ4o9hH/J1/fXw9tvBb4xDjaz4LP406U+c\n8/E5VLS4K8F6vdgUXnWVWAtuukm0uZ5xhsj98Aajuo50lwX9jIoKPtdoZMNBgiGUG9vaqDOZuG56\nAr/8Ij8m4+abxfrhqyVNro/Sc0E78UTx3113+f9cO3aIavhBfd/IEAdm2TejIPoUJqRO4PvD3/t/\nUUmCZcs4sn07j+blsebaa/ktKiqo9LWFC4VY/+WX0GPp5eYyI+nf5HLj0mjmzbNbInyM7hlqZISH\ns1SrZa6LPHH//SKX4b2ln7B9fDo/N+/EMm8hLR9/x8EXUsi9uoHmZlF/CgZvNzRwXkoK4R6+akmS\neCA3l7+kpzNr505+k6nCVlbC12ssVEWvZIQxxiuhPHX4qaw6sEr2vn6YPl0cdCEK5bLZbDQbmt0T\n5uyIVkczK3sW/9np46QNERyW1zVrRE9MdrZQKF0try1mMxERgk8b41OobmgISf+kL1ycmspfMzM5\nqaSEQ/YCjyd2dXSwv6uLWwtnMz1rutO5kR0RQaRCwQEvz/OGyM5S9NEqd6JmhxyhDFShPNDdjdFm\n8xoo8/fsbJ484wx6PvlE+O8GAoVCJA+//joqVb/2p35wUyg9vLuFmkKUkpL9TfID+oaojgCI6+yZ\nZ4pr2VdlX7Fk+BL2d3ejAVLWy9twQ41bs7JQSRKPuFgOe9/9gKfbr6T51U+FlWT2bKitZU1zM4uS\nkrhlxs2M1I7koZ8fAiBSqeQSnY5XXROvAoCrQvn+nvcp1BQyKX2S22NUShVXTbyKR//wKO//8X3W\nX7Ges0ae5TbwXm+uJTXaXaGMjI8nJyKCUvt5oVaqWZi3kK8Pfe3+IRISRAV9xgz32xcuFMWOW24J\nmd0VvIfygPiuF4y5gLdL3g7Z+/V7D5U4pw+5TCh55RWYPK0vGK/LYmHM1q2s0uu5YdVOnnujmivS\n5D9zqHCaVsuZWi1XHTjQr7ijN5t5tLqaR+3e8yUjlnBC5gnc8+M9AFyg0/HBsWMBjwPbtccEieWM\nThkla3d1YFTySHoTSjEYgrO97+/uJjcigkgvi0deZCR/z8nhmogIbF9/LcjH++8Lpu+FUE6cKBza\n558Pf3s4kWsT3sOMin3PfMutt8ou4/3gTaF0BLEdr1mUIE6v7+1bTYfdtacHtlQZqNbpeOjtGJbs\nGsWc+HjO0mqZGKpgxlC8yJiUMWys3uj1frUazj1XbGKffNLljtxckcH7pz/J/mLT5kdTd+Vy+Lt3\nlbKyzaWH0o9CCX0q5QM/PzDkKqXVZuW78u9YVLAYli51jgyYOFG4AI5DkdQvHpj3AGeNOoup/57K\nq9tfdS42//mPuA64FrhPOUWM4HjiCUE05Qr+JnUd6XF9sd0Tq6owKJU0WMPpNndj7O2zGsXECLUw\nkJEhD1VW8resLDJ0CjKzbDy1+jMWvLWAzTWbAdGzVV4u1g5f8CSU9fViD+TZ0vrPfwpC/Y2flovt\n22HCRCv7GvcxXOP+IjPj491sJt5srz9W/MhL215yu81ms3GdXs8to0Yx+vXXWZyYyBcyASO9Vivj\nt27lTwcOuCkwkiRUykcegXrtYpoPhfHyqelIkrCXHDgAhvTjq1D6gskE774reNbsynd4zriYpz79\nmaV/K6TXaKXk3iY6w8zc+3onDzzgPjPUF2w2G2/W13Npav8oeQduysriwdxc5u7axSklJXze2OhM\n9nzmGZh71TdoohJJabd4JZRLRy5l1YFVx8354IpuczdKSUmkSt628vCCh7n/5/udqttQwaFQOuyu\nAO3GdqfldWNbG2kbNlDZ00NxMbSG66hqbg5JXLk/3JqVxfUZGczYuZOPjvVZk202Gy/U1rJw926e\nKShArVDw+B8e57ktzzmDluYMwPYa11lGQ5L8QPnBKJRf6PWcqtF4DXQbHxvLvOxsLkxJGVQ6KJde\nKpS0AMawNHQ1eLW8SpLE4oLFQ967Joe77oKTT4YFC218cUAQyo1tbUyPjBQLzXGAQpJ4c+RInq2p\n4f2GBjo276P5YBNvls/i7PPDMD39gghWmDWLNfX1LEoSLoPnT3mel7a/xJ4GEbd7TXo6/6mrcyqC\n/mCz2Sjp6mJsdDRWm5XHNjzmpk76wv3z7uf9395nX+M+ANqsNc4ZlIBzszzeY/ar7PiQ5cvhqaf6\nv4mjn7y2dvDzJ11Q19GnUF66f78zTM+BS4ov4e2St4d0nXbto6ysFIfaiNF9s6CfqalhamwsX4wd\ny+TeeNQH9g7ZZ3HFo/n5HOnp4aWjRwFxjOjNZpZXVHBucrLbOLZnFj3Du3veZUvtFkZHR6NRqQJe\nA38oKSXOmktEWITsDEoHRmpHokwtZerU4PKY5PonPfHXjAw6LBZeSUsTzOr//g/eecer5VWpFHu5\nvXtFls+qVZDzwNVoP/93wJ/LzSXkUVjTRmkDD2UMAdwIpd3uumULaJfqOa2hntPNqylfE8tV6ek8\nUVBATIhyNEJCKOcNm+e1j9InHHFE11wje/c770DBI1eJK+5amcG5yFheA4gLPXXEqSgkBc9ufpZD\nzYcGPkrED3bW7SQpMkkQ3tNPd/q5JUkIsp98MiRvGxSUCiX/N+P/WHfpOl7a/hKnvHcKu+r28MKL\nNk8XMiAWy82bReFp5kyR+QBi31FZCZaoOrIS+6ptUmcnp/f2skqvJzkquV8wTyAK5c6ODnZ2dnJZ\naipfHvySxjMn8cyu+5k3bB5nfHgGh5oPsWKFIFD+KkmehNLh3/cMBUpKEom8V14pJtrIwWIRQ9rL\nIt8lIy6D/ET3MpurQgmwtHApXxz8wi0UymA2cOWqK7n9+9vdkkI/bWzkSE8P/5eVBfPmcUZGBp/L\nEMpVej1qhYIklYrx27ZxY1kZRwwGvm9uZuvEcrb/aRutcdMYviaFxYvEqq1WC5HsgPH3Uyg9sXq1\n6D+ZlHiYHPMhLn3xCg4af2FEoYTmvIVod6zlxsxMHjIc5NEnrSxb1j9BWg7r29pQKRRM8SOzXJKa\nSvX06ZyfksLj1dXkbNrEGxXHePNNaC54jhum3oB09Cikp2Oz2biitJTVLkM/R2hGEB8Rz7aj2wb7\npwgannbXr/V6t43nlIwpzMiawXObg5R2g0RamigCf/01nH22uK3D1KdQPlRZSW5kJCsqKxk3Dupt\nOqo7OoZcoXTguowMvh43jr8fPsy1Bw9SYTBwyp49vFlfz4aJE7nIXnTIjs/mxqk3ctFnF9FiaBlQ\nME9SZzn6JPmNlDZK66xWB6tQfqnXc5qfa9x/Ro7EaLVy4f79Axp5AkBODowf796D5AW+eihBuILW\nlMv3UQ4lJEmECo37QwlNDWpSw0aK+ZPZ2aKaG+DM0sEiKyKC74qLuaP8MBe9u5k9o89j+04FMTFw\n7XUSttvvwLBsGRuam5lv33ynx6bz0PyHuPqLq7FYLRRGRTEmOprPAkgtBqjs6SFWqUSrVvPZ3q8I\nV4azMG9hQM9Njk7mzll3cssaMfC+U1HLsCR3hZKEBIqjo92CeU4ZfgrfHf7O3dp32mmi0iSHOXOE\nbc1bAnGQsNlszuLGzo4O3m5o4NmaGrfHjE8dT4w6hl+rZEZKhAiuhPK11+DCC8GmEDkGjSYTT1dX\n85B9Vo5qfBHxtceHUIYrFHw4ejTLKyrI3riRiJ9/pmDzZrZ2dHCvR/plcnQyTy16iitXXYnJYuIC\nnS7gedCbj5SQG23PfJCZQenASO1IpOTSgQXyyNhdXRGmUPDWyJHcXVFBaW6u8H/29LjHU/vD+eeL\n5wX4vd1SXl0USjj+fZSjR4v90eHDfQrlunXAzCbOmDqVkd89y971rX4nJgSLkBDK+bnzvfZR+sSI\nEUK69KEeoFKJStYdd8h6RCvbPCyvAUTwS5LE8yc/z1dlX7HwrYXErIhhxHMjQj5SZE35GhblLxL/\nmDlT9IzarS9//KNQwP5XUJRSxKYrNzEzayaL3jiNuvOyeaXualbuX9nPzhwbK3oVL7pI7DkSE0UR\natYs0A6rd7O80tHBGWFhfN7U1G/IeqCEckVVFbdkZrLs4z9y59o7uTx/OWM37ODuOXfzj7n/YN5r\ni9lVdoxLLvH/PSdNEs5jh2XWl39/3jyRI3DFFfL25AMHQJfVyQMb/s4zi57ppxqMjIqitbdXDBwH\nchNz0UXr2FTTVx1/cuOTTEybyE3TbuKuH4THtq23l5sOHeLlESNQ25nuyRoNP7e10eHh9X2+tpab\nMzN5OC+PfVOnopQkxm7bxj1HjhClVHCjVIDthxu59/ootyrgvHmwvu5/R6F84w2RUcG778J553HK\n1Cn0xlaw/KEWFCeJctttWVloVCq2TDtEcbEoOvrDmw0NXJaa6lXRaWgQPbMnnghzZyjJLk1l/cSJ\nfFpUxHWHyph08T72tezgvDHnwdGjkJHB2w0N/NjaytUHDrj1pCwtXMp/SwMMXgohXAnltvZ2Ttmz\nhw+OuQcEPTjvQZ7Y+AQtBu+x6INFYqJwXsye3bcMdxhFD+Uue1FobXExnzQ2ohtv4Ei3LiQzKIPB\npNhYdkyeTJPZzIgtW5gaG8v6CRP69ZDcPedupqRPYfpr08mmLWhCqe2upjVZ/lrkOpcsNxd26Tew\nQ/WsX0LZbDazq7OTeX4eGK5Q8ElRER0WCxeXlg6cVF5+uTgx/cAfoZyfO58N1RuGXCGXgyRB4alf\nMUq5hMWLJda3tjNdqxW7fs8Y2CHEiLAYch6dSO1oK68+dyYmLLz3nuBTTz0Fv9x8M+OOHSPh/vud\nz7lq4lWEh4Xzj69fYP16+HN6ulNd8gdH/+TBMgvnv/AgUTtvp709cBnouqnXUdFawaoDqzAp9eQm\nu+zR7CMRPBXK1JhUCpIK+KVKZqC8DHqtvbyh3BMytVBv0BOtiiYiLIJHq6q4JyeHn1pb3VpFJEka\n8nAeRzBPb68glNdcY09aDwvngcpKLtTpyLeHoCTNLiKj9fgQSoDhUVHsmTKFn8ePp23WLFpmzWLr\npEmkyLRfLBuzjJz4HO5ceyenJ8TwaWNjQAr5wdY9jE9zGRniQ6G0aUoHFsgTgEVzVHQ0D+bmcsH+\n/RiHDxfqx9y5gb9RXBycdRa8+WZAD3fOody4kWuBx1yCFFNjUsVs7eMESepTKZ2BPJvNNCZ1sLCo\nCMVpp/I39TMBO70CRUgI5YysGeyq30WnKch5XbfdJgzm/nDOOSJdxEPSa+1pxWazkRBhv8AGYHl1\nYGb2TL67+DuO3HSEtjvaePW0V/nrN3/laEdgC3YgWFO+hkUFdkIZFiasHV98AQhVrLVVfmbR7wWV\nUsXdc+5m7A8VPDDiO4pSinh287NMfHmi01rqgCTB0ssOc8Xby/lo/VZ6eoQ6kVPk0cPQ0cGJ0dEc\nMBhIiMvvp1AePSoIpclqZV9XF3qPpvH9XV381NpKXPNPVLVVseNPO7j99DPZuEHCbIZrJl1DzJFl\nqC49lV7Jf5JjQoJwLToqiJs3+262vv9+8Rlfeqn/fdu3Q8SCx5iTM4fpWdP73a+QJFnb6+elYgZX\ndVs1T296midOeoLbZt7GDxU/sP3odu48fJjFSUnMctk4xoeF/b/2zjssqqNt4/fSBUSRJtWKCvZu\njMZeo8aaaGwxajSWN0YTjWn2qDFq7N3E3iOKBQFFpEgRQaUoHZHeyy6w7O79/XEAQRZF45u8X3J+\n1+Ule87sObPnzMxTZuZ50NPICDeynwdLCJNKESGTYZyZGQDAQkcHW5s3R36vXvDt1AmrmjTBmg/r\nQ7+uDH16VRUY/fsDV8L/whlKhUKY7di8GS+6xdLThZDcE8ZTWJYweTK0NbXR3bq7kHJgwADAwwMa\nKhWOOTjAMy8X3dck4/p1YQtOfnnmm7w8YQPfihXAoEGQtWiBC8+eYYqaNdWxscJlW7UC7t4VsiYs\nWSIYtePHA/VT6kHznC0eDg/DzE6zoEdNIDsbafXr46uYGFxo3RrjzcywqNJmmQ9aflD7SL5vkcoG\n5bdxcRhnaootiYlV9sq0NG2J0S1HY6PPxv9aPSQSwTdYvtwVeL7k9aenT7HY1hZWurqYZ20NV/ME\nPM6xQKJK9ZfNUJZTT0sLZxwdkd6zJ1Y1aaI2H6Gmhia2DNmCL7p/gekn+yFHXoxnama0pFJhie+E\nCYKTrRxzWSqk5uo9ZeXe6gxpBvanfYoHLSbgicUaZGk+emm9XbKz0bd+/Rr3DlVGT1MTf7RujazS\nUnzy+HGt9z9VYexYweOWlCR41IKDhSm/M2eqeNhetocyvqgIRrpG6NiwI+4k3Kl2i7/CyLwWfRUb\nZ46AtUMpYgtK0NbAQBj0/6Jlr4mJwo6Xd4tC4fXrJmiYmOC9kBAElObg8mViyxZgz/08DOnUSVgW\nUzYrrCHRwPvK/VjrtQYjJj+FQ44pHstkeFyLiMUPCwvRQtMAvb7aDjtrXbTVmIAOHYDabh3V0dTB\nlsFbMOfKHGiWmMHEuNKSuJwcYYbS0BAPCgurjDPT20/HNv9tr7w+SXx+5XPMujwLJx6eqF2lXkH5\ncteYoiK45+Rgia0tRpua4vgLM0yT203GhYgL/7W2Vz5DefWqEHuyTRugRFmCPIkhTqal4ftGjSrK\nWvZuDgtFEuS5f52zxVJXF43r1HllIDSJRIK9I/biQdoDdN/VGJQlYFnQ+eqBlypBAql4hL4OlVKG\n1DBD2cKkBSQmUejeo/bTZCSr5aB8GZ9ZWsJOVxffx8W92YbtWbOE4CG1GD+bRWXC+sNZuPv99zjf\nvTs22dqisGwC4LNOn2Gjz8a/LDAPUMmgLMmDoVY9BGhmYUB9Y+hragLff4/phTsRcOPtOpjfikGp\nr62Pzlad4fP0NTe66+kJO2FfhYaGIMi++67KMpXyHJQVsw+1CMqjDl0tXfRp3AdzOs/BFy5fvPb3\n1ZFfko/7KffRp9HztCWV91FqaAjy+m+bpYyNFcKAdukiWBdlmVAjIoDQRxJ8MbkVFvVYBI/pHljZ\ndyU+OP0BlrktQ7GiGAm5CfjM+TN0PdAVRZJMzHAZg7FnR+Nh2kOkFKY8Vy4AoLAQOkZGGNagAYqN\nOlaJ9FrSLA9YEYZ5dQJQz9sbox49gkNAAPYnJ1coQBuePsVMc2P84P41Dow8AC0NLTRoIGziDgwU\nDPLMc6vxnoMjJl6YWKvly+XLXpVKwUPcrVvNZXV0BIXxhx+qhwP3uP8U8Wa7sHFgzUp65XyUgGB0\nOD1xAkl87fY1FnRdgMb1G8NQxxAr+67ErDvb4ZSZiU1qdukrtKEAACAASURBVKmPNjWtsux1d1IS\nPrO0rJjFLKfybJyeHgBNecX+jXI6dwYCkm3BlJQqoevfOomJQjS/Jk2EDZ0XLwoRDivNtJ44IXSN\numF+wkspc1l+1PojzLo8C5vjTkJlaQncvw8jLS1catMG61LjsP1mHnJygC4tC/Bo9A9g+T0UCmDR\nIpzYtxNdo6JgPW6c4BUoQyYTgnUMGCAcPn5cWJH+4YfCO+7QQWgjXZPqI0uehTqNPhamMs3MsDA2\nFp82bIhOdevip6ZN4ZOXhytl76S7TXdkyjIRnR2Nv5Jyg/JmTg7iiotx0tERJSRuv5BjZUXfFThw\n/0CNUZ3fBr/9VjW+WoG8AIWaDXA7NxdzygJPLLaxgZssE5ENrREv0XxrOShrRC4XjKAZMwSnpFwO\niUQC48rr45OThdQZL/B5189xdPQRlKb7Y6HrVhx/eBwPUh/Ax68EU6YIQVyPHRMc38uXC04JhQKw\nlGZA3lB9AAhTfVNEZEag9e7WsDapD8nuCDR4/DXOpK576c8o3z9ZGYVKgWkXp+Fc2Llq5etoasKp\nTRvEFRdj/Svy0KlFX194mWPGCF64jz4SNsmuWiXs+8vJQVFpEYoURc+dupVmKA+npKCZvz+OpKaq\n3Ud5Peo66m2ohw9OfwC3GLfXjqRbGzJlmQhND0Xfxn0waXU+NKLq4sZ1DWHN/92a4z68DaRSwbfV\noYNgv65tcwp1xo/HCQcHzLOywsKoKIxMu4dPz6XAOT0bV3+xgeuss+DMWSgIjsaUKcDvm1tiYecl\nwMye6LNpBtqrUvFTTOgrZ/VCCqS4+lsBCjv8BNd5v2HPbg1s3y44y1aseJ4C8mUMtx+ODg07QKPQ\n+vnqPZVKMBLq1UNDHR1oSCRIriQ/ZnWahXvJ9xCcEvzSa6/zWof7qfdx9eOr+O7Wd7WLfv4KygPy\n/JKYiLlWVqirpYUZlpb4LSWlStuyqmuFbtbd/murSVq1AqKiBCd0+W4uuVKO60orfGlrC7NKs4Ha\ndbSQoGOPFI//4sxCfr7Q1o8fF/rurFnCQF2L5OI2RjZwm+qGhKn38VFhIbzDn+GbmY3QcmtTTLow\nCd86b8Vlr+ernFJTAZXpQ/Syr7TktYYZSkMdQ7Ru2AI7Qn6qse/LXnA+p5S1NUs1M6pZsqxqqbsk\nEgkOtmyJ0+npcKvkjK81PXoIqyTvvOAM8/AQJojeeQdwcAAtLXHkZBEkY8dh4YYN2NKmDfoaG+Ng\nWSCtAU0HoEn9Jjh4v/Z7MsshiaQ3SHM0YICwYjenKA/ygnrQH5SJ8ZZlE27NmiG1+2iYHlWzv/nP\nwD9J+SVWeKzgUtelf/ZyNaNSkdOmkY6OZEAASdIpwonvn3j/eZnx48kzZ974FjK5jM23N6fzE+cq\nxzOlmZx8YTL9n/nX+lpOEU4ceHRg1YP5+aShIZmbS5L09CQ7dHjj6r4+SiV5/DjZpQtpZkbOmUO6\nu5M7dpCmplRt/JmTJpTyhx+qfzWtMI2z9r3Pq+30Of5TQy53X84sWRZJ4bltvbuV7yw14ak2YElG\n6vMv2tqS8fE8nZbGpjfPcq3nWpKkX14e9a55EyOT6B5bwCKFgiT5oKCAPYKC+E5QEC9nZLCBlxcn\nOc3mouuLqtTnyy/JtWvJ6dPJNWtIuULOQUcHcY7zHKpUqpc+hq1byblzyQcPyJYta/fodu8mu3Uj\nS0ufHzObO5FTD/340u955eSwc2BgxWeVSkWbLTbcE7iHdlvtKJVLK87ly4up43Ka34ZcU3utpOJi\nGnt5Ua5UMre0lPW9vPisuPiVdddcpUm5Ql7t+PDhZKFZYzIq6pXXeG3y88nFi8kGDcj584WHTZIy\nGTl4MPnRR2RpKVUqsm0bFSMW7ydNTcmjR6tc5lHaI449M5YHehvQ9/ORfJT2iKFpodwdc5/mXp78\n9OJFDtryK+2O/EEdZ0+2877HOY8j+P7NXdS4tJO6u4dw53BT5hrp8tKPHzFHlstp08gpU4QhpSZS\nUsj17rs4+PwMmnp7M/LuXf7xySds4edHWVlbJUmP7Gxa+/gwWy4839mXZ/MXn1/UXlOlUtE7wZsf\nX/iYFpss2H5Pe444OYKfX/mcFyMuvvGj3n9vPz+9NJNd793j6bQ0kuTepCSOfPiwWtmvXb/m1D+m\nsrj01e2GJHOKciiTy964bmPPjGWfu9e5Oi6uyvEVsbFst+EGzS8516oNvxHR0eTSpaS5OdmvH/nL\nL2SfPqSFBblsmTD2/fgj2akTaWxMWlqSEyaQMTHPryGTkT//zOOjRrDR6VO8MLQjZ39sQ51vdNl1\n1QRGHT9Dfv012aEDFTZ2TNWzY4quHUs0NLhn989qq1VcWsxZl2bxQarQJ2xsSC39AppsMGNERoTa\n78iVShp7eTGp0rNSqVScdWkW3zn4Dk1/NmVkZqTa7yYWFbGhjw89srNf/xnGxAiDX3R01WeycCFp\nZ8cU51O022r3/Nzs2VTt3csNCQlsfPcuT6SmsqGPD28n3mOrna0qiqUWpNLyF0tejbzK/ff2s+3u\ntmy5oyV3BexiUWnR69ezBo49OMYPTn1AkvwhNpZTPGJoaUlm+kcL71tefVx8G1y8KLzXiRPJhAQK\nstfGhnz0qKKMSqWiS1YWh4SE0MLbh8dPqjhkCPlVnZ2M1WzO9WMDKJUK5R6lhrL9p/vY4ftZrHvl\nEqMtDFlk30Rou717k/Pmka6uZEkJVSrSyMmPRqtGc7vfzir1Sk4Wik+eXLufHpMdQ73OZ8tVFjIn\nhzQyqjg/KCSEv6ek8GxaGuc+eUIHf3/2uHOe75/5sMZrHgk5wkZbGzE5P5mkMEas91pf62dbE78H\n/85xF2fR2MuLaSUlJIVn1/TuXQbk5VUpe/zBcQ4+Nphh6WH8Pfh3Lri6gEOPD+VS16W89PgSM6QZ\nf6outrZk/fqktEy8D7+8mMa33SitJDvKuWUxkSFLjlY7/lZwdycbNiS7dhUa43ffkTt3kqNGkfXq\nCYLw6lXSy4u8eZO8fp08d4786Sfyk0/Id94hTUxIIyOm9e3Lei4uLBgyhDJLK256bxrrjZ5FjWWm\nHDpmF599+QuzWnbm5h7aVCrLfueWLeSiRTVWLzk/me32tOPCawupVCmrnDuVmsq6d+4wSvpcR7qW\nmckBwcHVrlOqLGWPgz3Y5NcmTMpPqv4YyuR08pvImq1bhQ5TzvXrgq5y5Ajp40OGhTEz6iHNfjLm\nweRk9gwKokqlYmBeHm18fVmiFH5XUHIQLX+xZGFJ4UtvdzP2JkeeHMkMaQZVKhUXR0VR6/Ztni2T\n7a9Dq1bkF2c3sdvqJdRxvcOMsn5Bkk/vxDFL0oCqjMzXuubLzMZXGpTXr19ny5Yt2bx5c27YsKHG\ni3vGe7Lr/q6vVbHXRqUiT54UFIRvv+XOO5s5/+r85+f79RM60J/APcadjbY2YkFJAUkyNC2UTbc1\n5ZjTY2i31Y6Z0uoPX6lS0jXaldmy5wJ7rvNcbvLZVP0GQ4dWGL0KhaDbVJbVr0twMNm4MenkROH5\nhIeTp08Lgqt88FKpSBcXsn17snt34e/KlhFJxsYyyaE/H9bpyqKbPtW1bU9P0sqKSdPGUGlmSp46\nVfX8vXtUWjZkdvd25MiRggAlhVE1K4t5paXU9XDnnGtf8l5+Ps29vTlibSYlkupVUapU3JeUxPpe\nXvw46BZtt9hWvI9yLl8mW7cW7JVyPSm/OJ8d9nbgujvrXvrMvL3Jzp3JffsEg7Q2KJVk377kz2U6\nole8DyVLbJiY9vLBoUihoL6nJwsq/ch5V+dTskafZ0PPVim7LDqave66sdXOVixVlr54KZJk93v3\n6JaVxe2JiZwQGqq2TGUDQKFUULJSotbI3rSJfGzVj7xx46W/4bVQqYT2bW0tCCR1g2BRkdAPxo/n\nI6do3tEbRFWXLlWUrReJPvIrH7Q2Y+tdrem4y5HT/2PHPcN68ZsZY7jyj50MzMnl2j3FNBz0hMYH\nv6LllR18954/s4oKGZISQpczPzHZyogHutah3chfmZP3cm1KlZfHHhtb0CPOg9sSE9ndzY1Wzs70\nysmpVnbekyf8JEIwBK48ucLeh3tXOa9UKbn/3n6229OO9tvt+bPPVl5Kesyg5CA6RThxu992Nvyl\nIV2jXWvxgKuzwWsDR7ltZsfAQCrL3rNUoaCZtzefVBLGJJkly+LAowNp+rMpv7j+BR+mVjc6y8ez\nj859RMOfDNlhbwfmF+e/Ud3ePTGOdT1vMecF7TVHLqfBNQ/quLpS8bYNSh8fcvRoQeh/9RX55EnF\nKYWCjLwcwdChi5lk3ZVx47+i9PptQbuWSqlcvYal9RowoO/XvDb2ABXWtuSYMWREBPfHxLLBFTce\ndphEeb0GLDLQZaCtFr1mDGDJndtkfDwVMfHctCCelmPf475b6h1DL9K7NwmQ391Yyyl/TFFbxiM7\nu4pjiiRX3V7FTvs6Mb84nzv8d7DTvk41OgpcsrJo5ePD1EoKxZ/m2jWWWJjSq209QUmNiaFywgR+\neeUK2wQEVBi/sx8/5n8iI2m+yZxxOXFUqVQcdnwYv3X/tuJSKpWKd+LvcMTJEbTZYsPdAbtr7fR4\nGR+d+4gHgg6QJAcEB/NKZia/+YYc8b6KqhEjBMP4LePuLsh1L69KB+/cIdu0qfE7ikrj87NnZNSa\nU4Kes2JFheWXe/YGkzRt2O/QSU50Ocp3ljTggb1zWOrmStVP61nUsQdLDOrzdqsp1HB157uH+ldT\n0knBHzB8OPnBB8JQ/DJKS0lNzefinHFxpN1zB8J3MTGse+cORzx8yC1Pn9I/L48zw8OoceMcd0YF\nVruee4w7zTeZMyw9rOJYZGYkTTaaML0w/eWVeQXrvdazu/sBzqvU30lydVwcP3/hWGFJIRtsbMBm\n25px4vmJ3Oy7mRcjLnKlx0oOOjqIRuuN2HZ3W27x3aJW53sVfd5P4+cLhYebVFzM+m7nOCtAvdPw\nUpfVvDdw2Wvf46UolYJR2LChYCiqQRafxrhFvzK5ZR/mte1JRZ9+5JAhwnj31VfkgQOC3peaWqEP\n9vIJYb81qRxsdJePW4yg0tKKeZ3bM6uOBn9r1JpTHNfxvqWBYESqVOTKlSyfoZArlfwyKqqacZ9T\nlMPeh3tz4vmJLFEI41N8URHNvL055/Fjdrt3j/KyBrg+Pp6L1TjA13iu4cCjA7nuzjo67nJU+842\nJiTQzteX9/NfU5ZlZAjGd3Y2eemSMBnj41OlyJPMJ2y8ow0tvL0ZVOn6A4KD+XtKSsXnj859VDGp\n8iKFJYWcf3U+bbbYcPzZ8Rx8bAiXRkezQ2Agb+fk0NLHh4eTk19Z3UiptELuL1hA9l/7PS2+38G2\n7verlFOpyKP6c5g955taPwryTxiUCoWCzZo1Y1xcHOVyOdu3b8/w8HC1Fy8uLabhT4bMKaqucL11\nUlLI0aOZ3NiEB48veX68bVsyJORPX37qH1O55MYSXn58mWY/m/FIyBGS5Fc3vuKw48OqDNKlylJO\nvzidTX5tQqP1Rhx7ZiwvRlxkk1+bqFXWuGcP+fHHFR/nziU3bnyzesbEkDaWCp776BxP1pnBwvrW\nwmA/ejRpby94Evv1I997T/h8/nyN0zJhYaSpiYrPVh8imzUjO3YkDx4UXGybNwsS0sVFKPzwoWAw\n7N4tfL51S+hkFy+SJSWC0bpxo3AvTc0KgdjO24UOVzbRwtubThkZ/OYbQeeribSiAjbf3oqXHl+q\ndi43l9TQECYaKpOcn8xGWxtVvDN1SKVknTrCa9izp+b7lyNXyOn8xJlfXlxD3fGz+e7ewWyw3oxm\nA45XKefh4aH2+z2DguheZvU+LSpiZz9Pat5y5XcxMcwvMzTLjeyU4mL2P9Kf3938Tq0RuD4+np8/\necIWfn70VGPcHLp/iDprdLjcfTlLFCWUyWXUXaOrtl5BQeS5ejPJvXtf/RBexbNngoXepw/Zrt0L\n2pQaiovJ999niaYe3fr/VN2r8CL5+aSBARkZKcxu2tlRde4c3aJd+d5v77HptqZc4bGCphvMaT9j\nA9t3UDIwsGpzv3czl9cM32NIs3p8d10zbvPbxrWeazn/6nyOOT2Gw44P49QLU3hs2XDmNjBgXh0N\nqhYtojIpif2vXOHCffvUVq2gtJTN/fz4YWgoA3OzaLTeqMLDLVfIOeWPKex+oDvdYtyYXyrnoJAQ\n6ty+zR2JiRXX8Iz3pPkmc0Znvb536SvXZTTzuEaXrKwqx7+LiammXJUTkx3D729+T+vN1my2rRk7\n7u3Inod6sv+R/rTbasdO+zpxp/9OZsuyOfvybA4/MZylylJGSaVVPMaVSS1I5eQLk/nLiecztOZO\n6zkt+I7a8mPOx9DyrBM5btyr3/+rUKnIK1fInj3JJk2EVReFz509YWGCQ8jAgGzeXGhCS5YIxpyB\ngbBoY9QowUHVu3kyvR1mMsx6EAcZ+nLiREGvmj+ftJuSTpM73rwTFUVmZDA6K5ojT46k/XZ7zr86\nnz/e+pHb/bbTdlNT+iX6M0su57cxMbTz9a2YPX6RadMEgzKrMJcmG00YlVVdYVoSFcWVlWZ5D90/\nxCa/NmFKQUrZz1dxzOkx/M+1/9T4iL6PjWX/4OAqxsvrUqJUVpmhdw44zo0LO7F4xgxeGj6cwzZs\n4Ls3b1bM2JNkRkkJzby9OcJpIfcG7uU2v23sdqBblVUTcqWSvyUnc8TDh+zi58n6Lseoc/UwrT1d\n2dzPjza+vjT19uboR4+YV0NbkSuVFQ4VUpDNxhuMmZSfxNNpaTT19maWXM6SEmFi79DmHEEuHqlZ\nVrwu0dGCHXjr1gvyYN48YUnN65CUJDjeOncmZ88mbW0ZvMmNZj0K2OZ2EE1dvdhg73IaLu1B/Z6/\n0aSLO8cMv8O101bT8fBBZv3wVY39qqREmIwfOLBKN6lGVpYweV9BcLDgmC5DqVKxVFndaJ3jvZ/6\n7pc4LTycR1JS+HtKChcFu9Dw0FhejvaoVn7htYVccHVBbZ9MNfKL89nn6DAaeLgxRlZ1RUVCUREb\neHlVrIJ6Xvfq9S5HoVTQM96TU/6YQqP19dn62la28vVkZA1jX2X8Ev1Yb50JO+95h9fSntLax4eO\nzut4NvS82vIXp15gaJMRtfiVtSQ3V/AW9OhBVpIxpPCulywRXmGdOoKaN2mS0B/09YWJzPnzBVsy\nIEDQlaRS8vffyV69SKOxqTS+epdHYtOFvhYcTF69yqzcFA45Mpx1Vhrz423ThQsvW0YuXkyPuXNZ\nqlTyw9BQdr93j+be3gx+waiTyWX84NQH7Pd7P96M9WCvoCD+nJBAlUrFoQ8e8PvYWJLkxLAwHqlk\noJFkYFIgzX42Y2JeIlUqFZe6LmXX/V3VOkHPlo0DL872JRYV8VxaWjXHZwUTJwp6tbk5GVjdUeKX\n6EfzP1bzs8ePqxx3y8qig79/xbhU7jx50eD1jPdks23NOO3iNGbLsilXyGn7x4+08LjCzLI6PZZK\naefrW0VveJGAvDxaeHvT3Nub/nl5dHIirWYupMbm81wf9bRa+fkjE1hsYCzo9LXkjQ1KX19fDhky\npOLz+vXruX591aUJlS8+8OhAtcr/fwWVijvndmKRcd3ny1wtLat1oDchvTCd5pvMabXZincT71Yc\nlyvk7HW4V4WHobi0mOPOjOPgY4NZWFLInKIc7r+3n+/99h6bbWumfunls2fCCF3WSNzchKWUr0ta\nGjnNyo2ZVm3Jnj2Z+uNO9rd5wnVrVc+V6MxM8to1YTbxJetbZDLBeXrgQNkBpVL43vvvC6NM586C\nZ7IyMTFk06bk1KmCMVlZeCYkCAbojRuk7nNj5vuIQOKWO6d7H6ZCqeCaNcIKZrW/rzCNky9M5tgz\nY2us98aNZLoap2Z4ejjNN5nzYsRF3ku6xwvhF7jZdzN/8fmlQtFv106omprVExVEZ0VzuftyWv5i\nyXcPvcvl7sv54c976DDqKjccjOCECVXLr1ixQu11lkZHc1VcHE+lptLM25vr4uMZJ5NxWng4G/r4\ncPezZ2wXEMBjZQNlYl4iu+7vyrFnxjKvuKo3L6KwkDq3b7NtQECV9qVSqfjjrR/ZdFtT3om/w/dP\nvM8u+7sw4FkA6/5UV229FApyjd5aFsx7w6Xq6enkqlXCuu0GDQTJdPKkWiUmL49ct07Q92fPFtpa\nkJ+cbY0TWSYrXs277wra/w8/PF9LVIZnvCc/cfqEPk99qFIJAtDSUhCa9vbkgAGklRX5x3klVStX\nUmZhwq3fD+K6U/O5zXcrz4ae5U23/Xz2TmumN2vIHVs/ZkCAk+BpNTZmqYMDVatX11i1gtJS/pyQ\nwIY+PrR0OcQfA0+wqLSIo06N4rDjwyiVS5kjl7NnUBA/iYhglFTK5n5+XBMXV/EedwXsYpvdbarN\nxr+KXtfWs8Wdq9XGm+TiYtb38mLWS/q+QqlgWHoY7yXdo1eCF91i3Ko5wuQKOQceG8JuN7bTtExY\n9bp/nweTkyuU+7uJd2mzxYafOc9hneFWHOh5nG0CAqh94wJvJz1Qe+/AUAWNe6cxsd0wqiZOer6i\n4nWJiBA8661aCbLghfZ39qzguNq7V1ix9yJFRcIE0unTgg5fmdxccts24dJDhwqf3bKyaObtzQWR\nkdz57Blds7J4KtKDG+7u5De3VnLu1YX8yGkWl0WG08TLi7MfP+b1zEza+fpydaX3Xc6KFWTdsi66\nwmMFZzjNqFbHFn5+DMzL45PMJ9x6dystNlnwcUZV5SVbls1GWxtVyGCZXMY78Xe4O2A343LiqFCp\n2Dc4mF9ERvK35GQujY7myIcP2fXePU4MC+OquDieTUtjcH4+U4qLKwzPQoWCF9LT+XFYGOt7ebGO\npycd/P05KSyMo33OsIXrQRp7efG9+/e5KzCQMjXTXruePaODlws77O1I059NK4xmqULB7YmJtPP1\n5cCQEJ5NS6N7dja9cnJ4KNKb9ocGc+iFWXyUm8aU4mLOffKEjv7+VYwGlUrFQ8nJbODlxXeCgviw\nQOg/nvGe7LivEzclJNDG15cPCp73q4gIoU1snxNKlamp4F37k+TlCfJs1y7h84olS4QPffoIywZf\nlKG1QaUSGu5//lPReNeuFZwifRfk0vHcI9Zxd6e983Z2PT6e9tvtqXdgDHu5nSP79xeWLNawpUGh\nIGfMEIyLpUsF5+r162VLdMuIDc7lAOtKy7Bv3RJ+zyuQyqU022zH2Y/8OCU8nD28nKh3bgXfC7hN\nU29vro2Pr3CmkmSGNIMmG034JFO9A+xl+CX60W5PDza/cZATHqkfawaFhPBUaqracy+jUKHg+yFB\nbHLbmXWPzmSdWy48n1p9SWU516Ou0/RnU16KuMyBbtup6XaJvydEcPiJ4dW2UpVzY/tjpug3efke\njNoQHk5+8QWVxg2o+HyB4DWoRFiY0D6nTSP9/avPTkulgh9482ahTIcOgvw0NBRUQWG+QEWnjAx2\nDAxku4AAnk9PZ7ZcTp/cXO5NesZenqe4MOQmi9LThQkeExP++P77nBoezkEhISxSKHg+PZ0NfXwY\n+oIno1RZyi2+W2hxZgl1L+/kcvdvGZISwnhpPhv6+PBOTg4d/P0ZUqkfS+VSttzRkqcePV8xp1Kp\n+Nnlz9j39768GXuTv979lZ86fcoeB3vwh1s/0CsrlXa+vlwaHc0VsbHsGBjIBl5eHBgSQmMvL34R\nGcm4SuNLcnExnTw8uHbOHC729eWMiAiOfvSIIx4+5KcREfwmJoafBLlS2/1KlSWl5XXpHBhIp4zn\nS6jnOs/lkhtLWFhSyINBB9ntQDfabbWjU4QTSWG1worYWLa460OzX1vwVuytiu/GyWRsdvcul8fE\nVHOseebk0Mzbm5czMnglM1OQUXeOEl+bU/OKB2Nl1beu7NpF7n3vhDAY/vabulZVjZcZlJKyAmo5\nf/48bty4gQMHDgAAjh8/Dn9/f+zY8TyfmUQiqdhQu95rPdKl6dg6dOvb3ehZA132d8Hvjb5Am89X\nCFE9du8WoszVUZ/g+3W4n3IfDQ0bwqpu1UTmSflJ6HKgCw6OPIgdATugr62PU+NOQVeramAJkjWm\nKkDXrkJAnP79UVoqxDsICgLs7GpRseJiSAPDcX/kj3DUeAyTgz8LQRMkEiQnC4mcu3QRIi127Cjk\nU3wVc+YIe6dPnlSTYDY1VcgHoC5wRkoKsHAh8O23QKdOVc+5uAh5RQAh+i6EDdZXkiOw99Z/kF+S\njz75+xF8rRNuVco4kyXLwibfTThw/wA+bvMxVvVbVSXHXm3xSvDClItThDyg9Rqhcf3GyCvJg9Nj\nJ0xqMwkZzl/i2jF75OUJAXgB4Z09znwM50hnOEc643HmY0xtNxWzOs2Co5kjACEmQd++QkyjBQuE\nbDblrFy5EitXrqxWl8uZmfg4PBw2uro44eiIzpWint0vKMDSmBgYamriYps2FW2mRFGCRS6LcCv+\nFv748A84mjniQdoDXIu6hnXFLdC+NBKLGjXHoKaDYKBjgM+cP0N4RjicJznDwtACJLHn3h58d+s7\naGloIeNr9ZHZ1va4gq8iPoXezClCAI533qmelPNFEhOFaK1HjwITJqB4wlRcy+6Bcxe14O4OtG4N\nDBok/GvaFNixQ0jNMWyY0CQiI4WgSIGBgL19rVLdCTx6JIQGLsvhVRsKC4XqJiYK77l//7ITzs7A\nmjVC8tTcXKETFhQAS5cCX35ZNaFpWhqwcycwYgReFeO8SKnE7HuXcL5AC9oqKZrJY3F5wBfQ1dTB\nkAcP0M/YGJubNYOGRILUkhIMfvgQg42NK4Iwfeb8GbKLs3FuwjloSGp+DzKlEhczM/FbSgq8slOw\n2qQEy9qPrlZuekQEHPT18U2lyIIAUKpS4X5hIbzz8hBXVAQbXV3Y6enBrux/Kx0daJW1gwipFFPC\nw/AkLQhfNlDgxx7zcS07G7+npuJWTg60VMXILc5FBnN1KwAAEFZJREFUgzom0NDURdHhQ9Af0RiO\nyERYzDkEzvaHXT31g1tAALBkXhE2R49C017WML18GFk5GvDwEFIPFxUJ72zAACEAThVycsB1P0F5\n+HcEDvwW+3UWwLqxNvr3F5qxtrYQKOf8eSH42YtD1J8hXCqFS3Y2ImUyRBYVIVImQ4FSCQUJRZk8\nnGRujh8bN0bTMnmUUlKCD0JD0VJfHwdbtoRu2fM9ckQI+pWQQDzITUPv8zOwvN9GtDEyh6wwHsFp\nj7BDZgWjkFnQ1tBCn0Z98GWPL9HZqnO1evkm+mL06dFoVL8RwjPC0dqsNVqYtMD16OsY3GwwPum2\nBL/m6MBESwut9PVhqSGHjrIQeRqGeKbQxGOZDDHFxUiTy5FTWgpDDUJOoKOBHj62tMVYUzM00NbG\nY5kMIYWF2PvYDXVZhMM9p8P6JcGVlCQ6BPoj9N632PfOJ7CwHY4rWVm4nJmJd+vVw3I7O3RVE7yj\nWFGMpW5LcfnJZRwfexzv2r6LXUlJWJuQgDOtW8NMWxtzIyNRrFJhT4sWCCoowPdxcfikYUPIYw/C\nV8sRRYatcK1tW9i+kJ7m2TMhSrSZ53lswlfQD7tX6yjx1X6fEpgwshi9te7iy463gVu3sDIwECvH\njxdCAA8ZUhYh7e0TW1SEgykpOJKaikZ6etCSSDDSxARf29gI49bq1cDQoUJOyCFDqkThVamEOIGP\nHwsBv+PigJBgYrR1IL4y2oemIX8gr1gPph1tBUVBV1foUE5Or6zXJp9NCEwORPMGzXEu/ByufXwN\n9ib2iJTJsCo+Hu45OVhgbQ0zbW2UkLgRewuRmRGY2aIfJti1R3OjmvOJlapUiC2SYum9M7heoESd\nuvaYbmWLb+zsYKWmHZ5KS8Pvqam40b59rZ9rUkkJRj56hHYGBtjXsiUKirMx0XUNPA364hMLM+xr\n+y40KilMxx4cw5d3fsGn/XYhVGWExJISjJD742TgJtTRqoPtw7ZjcLPB1e7zIEgB/Xc7wL6FhhBm\nfMoUQE1k8hdRFUiRdO0BMl3vo97NCzBOjcAJ3ZnYXTobGQaNMXGiEP+uSxchcNiSJcDPPwuxyWpL\naakgQyulVAQg6EpXsrKwOiEB4VIpHA0M0FpfH44GBvDOy0NQQQGWGRtj1pQp6O3oCMPFi3G9XTsh\nwiiAk2lpWBoTA48OHWBfKTCnX14ePggNxTE7fbhGnIBzpDMSchNQz2oo8u1mQKFpgCNm2ejbqBes\n6lph4bWFyCrKwslxVVP+KVVKLLi2AKEZoWhn3g7tLNqheYPmOPLgCNxi3bCo9yrcN+gJG109dNCW\noTDDDyEpQZBpGOCJXmuEatrBSlKMXIk+SqGJzoYG6GpkDDMdHRhra8NYSwuaEgky5HKklZbCKyUU\nsrTbuPPBpmrP8Hx6OjY/ewbfjh0hkUiQUpCC1rtbAwB62fXCnM5zMLT5UCTLS3EoJQWHUlPRWE8P\n5xwdEZrkhWkXpyHosyBYlqXjSykpweKYGLhlZ2OulRX+Y2OD4MJCTI2IwClHRwwwNkZkViQmuK1H\nuNk4NPA1A9trIH1U12p1e/RICA4adTFUGKd69hQUtpcES61s81U79zKD8sKFC3Bxcam1Qen/zB8j\nTo1AD5vXzFT6hrjHuiNhUQLM5dpCwkBPz1pFrnob9x1yfAgmt52Mwx8chpaG1qu/VJk1a4SIWzY2\nQEkJ4p7IUSRTQVNHE0qJFlQSTagkz/8mNGAkz4RZ8VMYluYgRcsWfh3nYcLt+ZDoVR08c3OFtJ0B\nAUK+RVNTIZerVg1VlMuBmBghJVcNwbjenBUrhN8ZE1PlMEkcfXAUC52XwqCgA7p01Kk4fvfZXYx3\nGI/v3vuuRiX0z5BamIpdAbvwq89eSHKboGPbOtDW0Ia2pjaisqJQoizBCPsRGNlyJPo36Q89repK\nQHQ00K6dYAgNrJQruiaDUqpUYm9yMj63sqoYUGvL0QdHscR1CbQ1tGGoY4hhzYehW+NByMlPwPWY\na/BK8EJ9vfro0LADTo07BQOdqgl/wzPC4fzEGct6LVN7/e3bCNfNj/Cx3h/omXoBdeVZiK3XCYR6\nZ4gW5bDPDYS77adwaroYKRIr+PsLkXInTAAGDwbCwwE3N+FfVJQgH5cvf2v5q98+xcWCdmlo+PKc\nuLUkS5YF818sMaTzMpg1nYTLWdnQkkiw0NoaPzRqVMXRlF1aivcfPYIEgIm2NlQqFe4+8wUkEmhr\naKu9PiFBro4l6stTYVsUioSYUzg37gT6NelXrWxIQQEGPHiAnpVyA+YrFLhfWIimenroVa8e7OvU\nQbJcjqfFxXhaUoKnxcVILy1FQx0d2OjqIlImw7qmTTFUvxTvHn4X7SzaQVNDaMdZ8hJkyIuxb8Re\nNDNuCk0AB9avx/IflmPhtYU4GHwQOctynkcBVYNKBRzbJ0OLL4ZBX6sEyXIzNDARxi5NTcEflZUJ\n6OoQprr5MC5JhXFxCjSoxGW9j7DeaD3aDmqIXr2ENL+3bgEPHwo6mb294Ch7g+Df/xVkSiWmP36M\nCKkUTcoMzexs4EGUAtqtpDDQ0ECdkiQkZYWiRKsetOpYQ6ljgr66Uux3aIsm9ZvU7Kgsw+epDwii\ns2Vn1NEW7pFfko8DQQfwq/+vMDcwh6xUhoTcBBjqGMJU3xTp0nQUyAtgaWgJPS09xOfGw9zQEo1M\n20NXA4hKD0amLBMOpg5oaPg8r2tYehi+6vkV5nWd98rf7pOXh6EPQiCRaKBb3boYYWKCkaamFTn5\nXsaVyCuYdXkWOjTsAG1NbWToNEJw/eEAgBaFd9FI9gCgCnkleUgqluGZ6UiUNuiBrnUN4dqxO+pr\nq+9LgDBOxX60HEOLLiLNyP6VdQEACQgNKqCjLIaOqgia8iJYF8dCt0sbaPTvB/Tpg5VeXli57uWR\ne98mCpUKLtnZOJGejmW2tuhQ7rhMThYcaM7OQrTKdu2qWwiVYMJTyNIL8IfJZ/guegZa9TKF62IX\nYN8+4Pp1Qdc6fPiV9ZHKpWi8rTHsG9jj8qTLMNWvaqyHFhZiX0oKSlUq6GpoQAMqeCX6IVpO5GmZ\nQ0sphTHzq0giObQg1ayLUs26gDwL5qocbGjTH1Ns7NWm/ymnSKmEzd27eMfI6JX9p5ygggJ8YWOD\npba2Vb5z4NF5zI/PhIa+NXRUxdBiKTRUJciTGKC+QUMMMzHDIGNjjDUzg4GmJo4/PI4Zl2bAY7oH\netn1qnafggLAzESFLzvfwcBnv6N7qhNi63WEXKMOJFBBAkJCFTSoggTC/4aydJgXJyBKpzVSLTsi\nt8sgaI//AO266KBpU8FPevy44PMtLhb8sOfOAZVSI7411E2eBBUUYHV8PDxyc2F07Bgidu9G3ReU\n0MMpKfg+Lq6Kgz2ooAC77O0xpiwVGgCUKkuRkJeAL2PiESQtQdfU/fB+6g0jXSMoVAo8nPtQyP9Y\nS4JTgvG129eIyYmBVC6FgY4Betv1Rnfr7tCQaKBQXojs0mKEybVRUhCJzKyHeJqXgPySfDSo0wAm\ndUxgom+Cujp1K37307yn6GnTE3tG7Kl2PyUJh4AANNbTq3Ai5hTlQE9Lr2J8LlAo8FAqxcfm5pht\nZVUlLcqq26tw4tEJtDRtWeW6Us16iDXoguQ6LSEh0SXnEhqUJkNFFfyf+eOH935A51bTMDQ4FNPr\n2mBXlybV6qZSAWZmQjBbfVUh5j+cA/u8QCQZtKxWtpzu6VfezKD08/PDypUr4eIihPtev349NDQ0\nsGzZc+W0efPmiHnBYBARERERERERERERERH5Z9C+fXuEhISoPfdSg1KhUKBly5a4efMmrKys0K1b\nN5w6dQoODg7/tcqKiIiIiIiIiIiIiIiI/P/gpWs1tbS0sHPnTgwZMgRKpRIzZ84UjUkRERERERER\nERERERERAK+YoRQRERERERERERERERERqYlXhHN8OS4uLmjVqhXs7e2xcePGt1UnEZH/eRo3box2\n7dqhY8eO6NatGwAgOzsbgwYNQosWLTB48GDk5ub+zbUUEXm7fPrpp7CwsEDbStEdXtbu169fD3t7\ne7Rq1Qqurq5/R5VFRN466vrBypUrYWNjg44dO6Jjx464fv16xTmxH4j8E0lMTES/fv3QunVrtGnT\nBtu3bwcgyoR/K29sUCqVSixYsAAuLi4IDw/HqVOnEBER8TbrJiLyP4tEIsHt27cRHByMgIAAAMCG\nDRswaNAgREZGYsCAAdiwYcPfXEsRkbfLjBkzKoK0lVNTuw8PD8eZM2cQHh4OFxcXzJs3DyqV6u+o\ntojIW0VdP5BIJFi8eDGCg4MRHByMYcOGARD7gcg/F21tbWzduhVhYWHw8/PDrl27EBERIcqEfylv\nbFAGBASgefPmaNy4MbS1tTFx4kRcunTpbdZNROR/mhdXi1++fBnTp08HAEyfPh1OtcjVJSLy/4ne\nvXvD+IWUAzW1+0uXLmHSpEnQ1tZG48aN0bx58wrni4jI/2fU9QOgukwAxH4g8s+lYcOG6NChAwDA\n0NAQDg4OSEpKEmXCv5Q3NiiTkpJga2tb8dnGxgZJSUlvpVIiIv/rSCQSDBw4EF26dKnI05qWlgYL\nCyEZs4WFBdLS0v7OKoqI/CXU1O6Tk5NhY2NTUU6UESL/dHbs2IH27dtj5syZFcv8xH4g8m8gPj4e\nwcHB6N69uygT/qW8sUFZ2+SwIiL/RHx8fBAcHIzr169j165d8PLyqnJeIpGIfUTkX8er2r3YJ0T+\nqXz++eeIi4tDSEgILC0tsWTJkhrLiv1A5J9EYWEhxo0bh23btqFu3bpVzoky4d/DGxuU1tbWSExM\nrPicmJhYxfMgIvJPxtLSEgBgZmaGMWPGICAgABYWFkhNTQUApKSkwNzc/O+soojIX0JN7f5FGfHs\n2TNYW1v/LXUUEflvY25uXqE8z5o1q2Ipn9gPRP7JlJaWYty4cZg6dSpGjx4NQJQJ/1be2KDs0qUL\noqKiEB8fD7lcjjNnzmDUqFFvs24iIv+TyGQyFBQUAACkUilcXV3Rtm1bjBo1CkeOHAEAHDlypGJw\nFRH5J1NTux81ahROnz4NuVyOuLg4REVFVUREFhH5p5GSklLx98WLFysiwIr9QOSfCknMnDkTjo6O\nWLRoUcVxUSb8O9F64y9qaWHnzp0YMmQIlEolZs6cCQcHh7dZNxGR/0nS0tIwZswYAIBCocDkyZMx\nePBgdOnSBR9++CEOHTqExo0b4+zZs39zTUVE3i6TJk2Cp6cnMjMzYWtri9WrV+Obb75R2+4dHR3x\n4YcfwtHREVpaWti9e7e4vEnkH8GL/WDVqlW4ffs2QkJCIJFI0KRJE+zbtw+A2A9E/rn4+Pjg+PHj\nFSnUACEtiCgT/p1IqC4smYiIiIiIiIiIiIiIiIjIK3jjJa8iIiIiIiIiIiIiIiIi/25Eg1JERERE\nRERERERERETkjRANShEREREREREREREREZE3QjQoRURERERERERERERERN4I0aAUERERERERERER\nEREReSNEg1JERERERERERERERETkjRANShEREREREREREREREZE3QjQoRURERERERERERERERN6I\n/wM4XrBXOpL1TQAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x10c019d10>"
]
}
],
"prompt_number": 5
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"logW = log1p(W)\n",
"f = arange(W.shape[0])\n",
"plot(f, logW[:,0], f, logW[:,1], f, logW[:,2], f, logW[:,3])\n",
"title('Source Spectra')"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 6,
"text": [
"<matplotlib.text.Text at 0x10c05c310>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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qeAnrOgKaVu3bKMJKKhERERHR5FaVkCqK2ZAaj0OQ8tt97ZDqygmpOe2+SS0J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\n4r6aphGRZdb6fGarrcGpVIo2fVdscXHSnliMlV4vYbu95Gz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5vI3+RgD+cPQPJW83sKs5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6JSqMgob3nxmue+Njdcas323O2kFqcy/KvhDPlyCGMXjeXX7LYvdK2plj6f9eG7Y99xtOQoazPX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\n",
"text": [
"<matplotlib.figure.Figure at 0x10c00bf10>"
]
}
],
"prompt_number": 6
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Listen to each source (1-4) by performing the inverse STFT"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"src = 0\n",
"S_rec_abs = outer(W[:,src], H[src])\n",
"S_rec = S_rec_abs * exp(1j*angle(S))\n",
"y = librosa.istft(S_rec, hop_length=1024)\n",
"plot(y)\n",
"#Audio(y, rate=SR)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 7,
"text": [
"[<matplotlib.lines.Line2D at 0x1070452d0>]"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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97L771FZhFSv6F7Yo0Y4Wrrdjh7hPaQtVq1Rxvo1054zR1Di5cJ6ZnQ/a/2mU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\nAKlHcwsAAAAASL0vM9qboz0XvNEAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x10c055a90>"
]
}
],
"prompt_number": 7
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"src = 1\n",
"S_rec_abs = outer(W[:,src], H[src])\n",
"S_rec = S_rec_abs * exp(1j*angle(S))\n",
"y = librosa.istft(S_rec, hop_length=1024)\n",
"plot(y)\n",
"#Audio(y, rate=SR)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 8,
"text": [
"[<matplotlib.lines.Line2D at 0x10d8c03d0>]"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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yEKdPWz8fi4rk7zXK6dPWLas//hBi0SL5GwoK5LIrzT33+N+2fvhBiL17jZsP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\n",
"text": [
"<matplotlib.figure.Figure at 0x10c04cc90>"
]
}
],
"prompt_number": 8
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"src = 2\n",
"S_rec_abs = outer(W[:,src], H[src])\n",
"S_rec = S_rec_abs * exp(1j*angle(S))\n",
"y = librosa.istft(S_rec, hop_length=1024)\n",
"plot(y, c='orange')\n",
"#Audio(y, rate=SR)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 9,
"text": [
"[<matplotlib.lines.Line2D at 0x10d929950>]"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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4iO+fJ6WQP6/pFoaF4SGR9Vc/53vzgdVfc3eY9//NOMbJOuAFh8zv+cTH9wCH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\nrkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x10d8a0710>"
]
}
],
"prompt_number": 9
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"src = 3\n",
"S_rec_abs = outer(W[:,src], H[src])\n",
"S_rec = S_rec_abs * exp(1j*angle(S))\n",
"y = librosa.istft(S_rec, hop_length=1024)\n",
"plot(y, color='red')\n",
"#Audio(y, rate=SR)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 10,
"text": [
"[<matplotlib.lines.Line2D at 0x10df87a50>]"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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2r2NH57aVSLBZr17wcf36CRclQnY2cNNN5pYNr408/vjIfZ+K7r3X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\n/h9c0IDtQdPqbgAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x10c057d90>"
]
}
],
"prompt_number": 10
},
{
"cell_type": "heading",
"level": 4,
"metadata": {},
"source": [
"NMF with Kullback-Liebler Divergance"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"adapted from <a href='http://stackoverflow.com/users/190597/unutbu'>unutbu</a>"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"def update(V, W, H, WH, V_WH):\n",
" H *= (dot(V_WH.T, W) / W.sum(axis=0)).T\n",
" WH = W.dot(H)\n",
" V_WH = V / WH\n",
" W *= dot(V_WH, H.T) / H.sum(axis=1)\n",
" WH = W.dot(H)\n",
" V_WH = V / WH\n",
" return W, H, WH, V_WH\n",
"\n",
"def factor(V, r, max_iter=100):\n",
" n, m = V.shape\n",
" W = random.random(n*r).reshape(n,r) * V.mean()\n",
" H = random.random(r*m).reshape(r,m) * V.mean()\n",
" WH = W.dot(H)\n",
" V_WH = V / WH\n",
" \n",
" for i in range(max_iter):\n",
" W, H, WH, V_WH = update(V, W, H, WH, V_WH)\n",
" divergence = ((V * log(V_WH)) - V + WH).sum()\n",
" return W, H"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 11
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"model = NMF(n_components=4)\n",
"model.fit(absolute(S))\n",
"W = model.transform(absolute(S))\n",
"H = model.components_"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 12
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"V = S\n",
"W, H = factor(V, 6)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 13
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"src = 0\n",
"S_rec_abs = outer(W[:,src], H[src])\n",
"S_rec = S_rec_abs * exp(1j*angle(S))\n",
"y = librosa.istft(S_rec, hop_length=1024)\n",
"plot(y)\n",
"#Audio(y, rate=SR)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 14,
"text": [
"[<matplotlib.lines.Line2D at 0x1093fbf10>]"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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3KTtwk+3a5W8zr6zerVaN3Wv27pX2T8qO0Ky0f7/5HlyDq7oOGyZVBz92LHLV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\nRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x10d94a690>"
]
}
],
"prompt_number": 14
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"src = 1\n",
"S_rec_abs = outer(W[:,src], H[src])\n",
"S_rec = S_rec_abs * exp(1j*angle(S))\n",
"y = librosa.istft(S_rec, hop_length=1024)\n",
"plot(y, color='cyan')\n",
"#Audio(y, rate=SR)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 15,
"text": [
"[<matplotlib.lines.Line2D at 0x1094310d0>]"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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+YvuwhlWy32m6/SPdvCdrbBe7zOOyjn9ilck6/nHOb5uk/o5piyVNcsRkXw4q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\ngg==\n",
"text": [
"<matplotlib.figure.Figure at 0x10940ecd0>"
]
}
],
"prompt_number": 15
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"src = 2\n",
"S_rec_abs = outer(W[:,src], H[src])\n",
"S_rec = S_rec_abs * exp(1j*angle(S))\n",
"y = librosa.istft(S_rec, hop_length=1024)\n",
"plot(y, color='purple')\n",
"#Audio(y, rate=SR)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 16,
"text": [
"[<matplotlib.lines.Line2D at 0x10897b750>]"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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0Ttd3Qh0OypBrZl6j0/tPOzUSKWk/IEUR1TiqSF2pC9Lo6kba+/1e1Whew+vS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\nSFwBAAAAAKZG4goAAAAAMLX/ByePexNtqmsUAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x10894e090>"
]
}
],
"prompt_number": 16
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"src = 3\n",
"S_rec_abs = outer(W[:,src], H[src])\n",
"S_rec = S_rec_abs * exp(1j*angle(S))\n",
"y = librosa.istft(S_rec, hop_length=1024)\n",
"plot(y, color='green')\n",
"#Audio(y, rate=SR)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 17,
"text": [
"[<matplotlib.lines.Line2D at 0x10945a0d0>]"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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lHsLWS1vVt6U6LVTfBdVjpi7SdU3fm5+6aG7RjiX/LkHtxbUhRAvYeWUnJu+a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\nuKSCAOujFQAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x108986210>"
]
}
],
"prompt_number": 17
},
{
"cell_type": "heading",
"level": 4,
"metadata": {},
"source": [
"Elementary Music Transcription"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"S = librosa.stft(song, n_fft=2048, hop_length=1024)\n",
"logS = librosa.logamplitude(S)\n",
"librosa.display.specshow(logS, sr=SR, hop_length=1024, x_axis='time', y_axis='linear')\n",
"colorbar()\n",
"model = NMF(n_components=4)\n",
"model.fit(absolute(S))\n",
"W = model.transform(absolute(S))\n",
"H = model.components_"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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1bciCPP45q5H7kQ+ZbhqcIEPrmd9Iv2Da8q5Wu04iwg0RSQzJIvA3l5P9niua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\nA1pjL/7QiwPMygBpnjgq4c9o/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oMH3QDff//99rnPfc42NjbsYx/7mF28eNEymYx98IMf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\nSbG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Q8ozqLesdZBO952iIwW/yMq5bvw2bdpyV4DphozFvLW8k8N6bpMffewQOjipo7/hR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\nXaITraoNERhKBM5f8VD8RZJT9Q5hjEWKImixbEh3QF/viFkYbM
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