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@mvcisback
Last active August 29, 2015 14:08
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Uncorrelated Noise
{
"metadata": {
"name": "",
"signature": "sha256:693012043570a9b70eea9e1a047297220807876c54b8818bd9164fffcb9b19d4"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "code",
"collapsed": false,
"input": [
"%pylab inline"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Populating the interactive namespace from numpy and matplotlib\n"
]
}
],
"prompt_number": 1
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# 4 mic setup\n",
"\n",
"1. Read all 4 channels (pre recorded audio)\n",
"2. Define a windowing function\n",
"3. Compute Spectrogram"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from scipy.io.wavfile import read as waveread\n",
"from funcy import compose, partial\n",
"from operator import mul\n",
"from matplotlib.colors import LogNorm\n",
"\n",
"SAMPLE_RATE, x1 = waveread(\"mdf-01.wav\")\n",
"_, x2 = waveread(\"mdf-02.wav\")\n",
"_, x3 = waveread(\"mdf-03.wav\")\n",
"_, x4 = waveread(\"mdf-04.wav\")\n",
"\n",
"xs = [x1, x2, x3, x4]\n",
"\n",
"WIN_SIZE = 2**10\n",
"HOP = int((1-3/4) * WIN_SIZE)\n",
"\n",
"def windows(x, win_size=WIN_SIZE, hop=HOP):\n",
" num_hops = int(np.floor((len(x)-win_size)/hop))\n",
" steps = (i*hop for i in range(num_hops))\n",
" return [x[step:win_size+step] for step in steps]\n",
"\n",
"def spectrogram(x, win_size=WIN_SIZE, hop=HOP):\n",
" to_freq = compose(np.transpose, np.matrix, np.fft.fft,\n",
" partial(mul, np.hamming(win_size)))\n",
"\n",
" return np.abs(np.array(np.hstack(map(to_freq, windows(x)))))[win_size/2:,:]\n",
"\n",
"specs = list(map(spectrogram, xs))"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 5
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Sample of events in spectrogram"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"imshow(specs[0][:, :1000], norm=LogNorm())\n",
"colorbar()\n",
"show()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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Sc8rMWFCsKmxAGFNjVa43nPaqR02qdNgVh1zTabdq4/Ks+Bf+mgFNsmxo02NS\npZ+O/RvX7fewN2RZlyEhy6Y1ORLidrprSYH9bsie3M7DzilWZkaReSvydKZ2u2G/fMuW5aswab+b\nUgJteuVYc8wlcUnnnTCkwcPeMKrWk63f81jsVSvh57HfDt3azSk2o0xmmC/f74ZWvcrMhMWxzf8k\n3XbNQSmBWzpMqtDhllc96qb9Ss26pcN3Lv2IR7zmZY+76qB23Zbke9zLhtWHgl/ktr2WFNjjjuc9\nqck9gaSJ0HGUa1VMUo1R3drFpJSYs89NybDx5q2iaqUJK/K16tWmR6FFWTZsybBDv526/Q3/3Jha\nPXZaVOhzvqrLLo2G/J7PK7RgXZYyM1J43lPKTSm06Bs+rcBiWGxdl2PNzvjdMLwpkG9JvmVsn9ze\nSpst++C4L/6ieN9EucaYne563MtSAnNKLCjc3rGTm2FutUujAS/4iA2ZjrjsBU+qNJk+bpWbMazB\nDv1e9ah23b7p0+K2TIbWqG47ZVtzN2zsOOGCk8654rAlhWaUhUfOMq16DGkwFxYicqxqczfcPFbN\nKVEWenxvbO0L0xHbhcoLpcfTud5y01IC18Nj9lsdfPWGLSqwIdsp57To96rHlJoTSPl3fkpChp3u\n6tNiVqkMCR/1nFV5oShu53srTDm/cdJ5DxlTozxsgNlbcs1NHaqNG9LgY5510z6ZNq3IU2kKgQ1Z\n1uT4jG/YozMddW+J6481h9vfmqZgwB6d2vTocMsBN/RqFaDCVNoz/n83/JwDrvmup2XZsBg6T7Kt\nW5ftobBAGEilo+AebdZkh403uxRa8F/5hh36Zdq0qCBMHT3piMtKw+iwyIIaYzrt0eG26w5YleM1\nj9hdedOEKo2GjKkJWzAq3Fnda0vcRce97rR4WDQeV63BkLgtw+rFbSGQY9UN+z3qFXNKFFhSaUqp\n2e3GJb1gRrkxtSpMGVXrWR9zwz5JgUwJ3/RpTQasyE2nnoLQSndLh6oweJhT4uOe9T8e+1WLCjXr\nd8Rl35j4MSXmdNrtWGgjjIWb+3EXzSlWaEmVCU0GlZr1hodVhCelYQ0e84oSs8bUaDBkXrEBzWaV\nWpMT/r5rppTrtMdXB3/SpEqLCl10wiXHESiwFAY846aVqTfioGs+5o8dc0m2df12mFAd1nYGzCrV\nbZdWfWaUatftrp1G1TniTYWWDGpSbVy56e2uS3scc8k9ze+e6Dwgovy+uS/+u9T/GXYsTWow5DWP\nGFcd5i5Ss9s+AAAgAElEQVRn1RsO83t56dbPKRXhFyEwo8yUinSRoc6oYXVqjFuR57ue9pTnTSsP\nnQX5cq1KiunR5qP+2LM+ocMtfXYY0Oy0142q1ezetqCnKj0WvGpIg1E1driXLrqd9oZsa7JsqjCl\nR5saY+GHvVGrPhWmnHXKPjfNKBNIajIgx7qFsIGlwrQu7crCyn5STJZNW2Iybeq3Q65VWTaMq3bC\nBZ32qDRpTI1m96zJMa08LdQ51tKdgH1aNLsXytKUb/ukSpPadUmKG1an2YAMm+YVS4qH+epC2da1\n6DUeNnDUG9aiz1WH5FmxGHq3MyTkWjWizj433dMkw5Z5ReKS29V+B+10N/RFZyk2Z02uUrMuOC4l\n5qg3Q7/6oj4tYcddSpMB08pVmXDFYblWDWmwR6cmA2nnyrhqpBRbkBK4p1mhRQdc96IzTnvdJcfs\n0WlEnUkVjrrsDQ9LCWRIGFXrmIsWFKkzYkWeSVUaDbgX/i3KzIhJesPDyk074wU92iwoDjsCh9wJ\nC8qHXJVnxaBGBRYNazCnRJ8W7bodd8F1BzSEFrJMm77vSRtheqXWqBX5Gg3KtWpBkWJz8qy45pAW\nfZblm1MS2iTHzSt2T7NVuU45q9aoa2HE3Wm3eiPp9F2VCVcdUm5KrrX073zXTqVmw5x9uZPOedbH\nPex142okBfaFUX6JOXFb6XXMrJd7Kvs555xUaNFhV+Rb8U9WftEn8r4rz0qYXsoRl1BqTr8dysxo\nMuCmfemIfUiDnw/+9bvjvvjSfV77tz+k7osiC27Yp8Cyfi1SYjrc0qbHLR3+g88otGhKhV4t28K6\nUmBTll6tMiTUG5ZrJcyTlqcLJNPKtetSFRZo3jrWVxtPV6BvOBCKw7wlhT7ueyaSVWqMmVGm0JL1\nIMe3PaNXqzU5BjQ56IZHvJ7u8ppRqtOesPtq27XQbMC0Mv2a5VqVY3W70i3pvJNmlRpRL8CmTB1u\n2aNToUVF5s2EflZS6RkYTe55yDkzyjQaMKzexz0L+rTY74bC1IIZZb7vI2ExrTy0wDGjzJAGrXrl\nW1ZkIVzjdsdZvxY51q3KlWcl7WTZdhzkqDCp2njabvZWZL4zeTds9V0Nc/0d6fd1XrFWvTJsqjHq\nm2ufTkeiCZlGFupdcVhAaCXb7lYMwlknt+21Q59MG5YUyAxTAdubSnfaBfIdT1uRJ25LgWUXnNBv\nh71uO7t2ygUnfN+TluSn24znlDjsqvNOaDRotzuWFPio50yrsCbXkEY9dqoyEW4gM/q0KDbnDQ/b\n6a6s1IbzTsqxrtq4MjN26bJDvwOu+4Plv+Q5H1VpUlJMQZgCqzYux5qb9jvtjf/EsbNHpx/3+z7j\nG5rd2260SjxqRV7a8zuiTodbCizKtKnUjN063bHblrgf8XU73TWr1EXHDav3nI9q1ef7nrQpU1LM\njLLQF73irp16tRhRp9GgZvfkWlVjzB27HfFm2AAyaVmBQMpTnpNlXSCVLko/nf0dE6o85Fw4WyVT\nn2ZP5T1nRJ1cK+liLNIWwXrDuuxKz84YUeeSY++e6DwgkfL7JsqlZnzWH/nnfk5cwqYMc0rDr8uc\nEy76DT9vQZFlBVblyMlblRIosqBVr3XZ4WCcRvOhQ6LClCILjrjia6nPKQqHr2TaTBeJGg0qNueI\ny2aUKjftVY8ZidV5a+jTRced8aLHvexr5/6yM160W6drDmjRF4owGWH7arZ1Nxwwp0S5aZuyzCtW\nZzhsa56zU4/TXreoUL5lv7P2k5JiJlT7HT+pzkjoqV4xpka2jTA6KrSkIBwWtGFOidNed8EJZWY8\n5Pz2kT7YzgM+47u67fTd1DN6wi6sA6677IhGg17wEetyXHZUu25VJrzpqAwJ08pNqFJr1KxSK/Ld\ntifsGdzSaDBsPFnSo81irFCONd3a1Rj1+35MvRGZNu3VGUZA24XKozlv2u2Ou9oUm9dc1G9esdNe\nV2tMCodc8S/9rBZ9Pu5Z9+wwpsYV20W2LBvpbrJFhb7lU/a55axTsmzoskuVCWwL/ZGcy3rDwTYD\nmnXaK5BSZ0S/HU46p9GgDAlHvWlWiV/v+p+UmjGvyHkPyQ4LYN12ueag73lah5tu6VATjIUNJ9W+\n5VNpISk2b1i90vxpB1wPO0oLZFtXZcJTnlduWote67J02SXLunzLSsy56pCzHpYU1+G2z2f8npik\nKw7JsiFTwrgqX/F5gxrFpAxpdNxFtUZD99KYfjtkW1dnRIvtOTEl5oyoDX3+2x2DK/Lt0SnfSnrW\nyS0dGgzp1yzfsnE18i0rNRNa+yr9tp+WFPelgV900DV5VqzJlmlTUjy0L26oMqHRoH1uWJej2II8\nKzZlmVRpVK1b9jrmomsOpJutsqy/e6LzgIjy+5a++LXU37IsX6lZr3nEqFqf9xXzimzINq1cjbF0\nMWi7c23LoEYtodNiu9iz4TlPKTPrpLOWFHrdaU96XkwyXZS7q02LPr+2+Xf9eObX0lHAkAa37VVo\n0XEXDatHSpsef7jyYw7nXUl7RLu1e8RrgtA/O63CI151V7t4aI+rNuZ7nlZgSYebuuwOO/y2j8M9\n2sICWJFKE/KtKDafPtaf33jIiawLerW44YBnfMcf+awzXtSjzSNe86pH7dLlDQ9r1aPRUDqynFds\nVqknvKQnzPsuKpRnRZYNTQbkWdGnRSCp0ZBx1aqN2xLXq1WBJbFwUM+EKplhAbXNXeNqtOjVo80e\nd9KWq7FkrU/FvpX2Cc+nii0FBSpMybZuUIN6I+mpgCkUhnanBkPOOim5lGG1ICftIolJatHnkmNK\nzKk3bFOGwbAI+FbzRaZNG7LS72Ey7ARs1+1lT9jnZpjXbA+9s+uGNKg2blCDlrADLpBK50snVFqX\no0u7h1ywIctSGB1WmnDBQw64blWuC447FbofplQoM2NUreMuKrBkQZGYpDklhtVLiis3pcGQFXl+\n3c8r35jxyaxvgS0Zis2Lh40jlx2x012rciXEDWuQbV2FSa369GsWSFlWIN+yMTXadZtWLiGuxvh2\nk4lWJebsdTucZDhnMRwxMKvEnFIXnPC079oSM6ZWpQkbsi0oVGnKmGpFFiVkKDGrTa/B0JZZZcJ8\naMe7ZZ9Kk+m5GJcdccwla7INaJZpU7F53drdsdvnfcW6bK961Kd9Q0HYMNOrza8F/+u7k7748n1e\n+zMf0o6+f5L6eZMqwulZHY79ifbot4TgzuxeT5Ru+0/LzKRHOeaEua+ZRLmWjB53tZtSIdOmQEqp\n2bBledwN++3UrdqEVbmWFDjkqhllUgJLCkyqBBk2zSmxIl+9ofAwnUx3xpWaVWvULR2mlWnRJxaO\nUGw0ZFm+u3YqsKTKuOzQ69tll4xwrGieFRcdV2hxe+KYGcXm9WqVYy3dgXfEmyZUm1HmjBf928G/\n4snGP1ZmRr8dFhVq1Zv2mi4osinTokJxW7Js2JRpQaHacHjOPc1a9Fq2LZb3NJtXrNi8Aks2Zdql\ny5IC1x1Qb1iBJV+f/ks6yq+GX66j/obfdDeMwOuMOOuUw66km37KTVtQaL+b7mlWHhYWx9TY6a4J\nVc456XEvhzn/CTcc8ISXdNkVNp4cdcpZCZlgWb41OS47rMysfW6Gc0m2h0V9b+0T/mrOv9KtXY9W\n9Ua06k13Ij7nKZ/2LVcdMjS8Q3X99kb21sayXUDdUGjRqx6Vb0W7LuuybciWHxaW33TUSeewvZms\nyw4H+8RUmXTbXgkZ+rT4lG+Fcyv2KjFnQ5YcqxYVetYnfNYf6ddsr87QBbHdyFMQuhDeSkuMqlNn\nxMse94jXwnkmtT7iBV12W5OtwbAXnVFpQq82n/ENVxx20lnDGsJNtUfclmJzerXJkHDbHk0GVZoM\nfdjbUW6OVUlxc0rCakSFexvNTmSddy150BOxl9QZtaTAmmzJsJMwJTCt3A79riQPu5Xq8IX479qQ\n5fXUaTnBqjKzcq1q1m9VnpTAC86Y2Sr3VHw7fZRjTb1hnfb4UvB33x1R/t37vPYLH1JR/n9TP+Ws\nU/a6rdaoTnsUm3PVYWed8jf8pmJz6YlixRasydGqxwUPadXromPa9Mq0mT76v+wxLfrT3YGPedmX\n/awnvOSSo+oNp4+rc0otyw8/hGtG1aYLib1aLCjWZMCGTPvc0m3bK7tti9oeBpRpc7tANN1gd/lN\na+GYzRv2p/OI2xPTBtIzNbaLkxvyrBjQJCEuU0JMUr1hy/JddiQ9Y7bRoHuaDatTYdpK6L+tMJ32\ntOZYM646ndIpM+NRr6ataEdctqDItHJBaIV6a3DTiLr0qMUTLnjBR+RbtiUmKe6YSzrtCdvK5y0r\nSEedeVZMqjSWqpEIMtQYEw9/xzG1YpKqjUnINBn6X9+K9na5o8K0fMte8rhP+rab9ptSYZcuy/LS\ng5GuO6DKuGoTjrloVJ1Ss35x9p/40dJ/j5QGw3KsGtSU7mTMs2JauQ2Z8i1r1+2S43a7kz4hvVUg\n69USji6NS4gb0KRFf9oXnptasSPoR2BQo0OueMGTysy4ldinOaNfrtXQNrk7Hb1XmfBPR37Bp+u+\n7uOe9ZpHnHDBV33OPrfkWtFlV1rkY6mknGDVuBo/6g/9pp9z1JsuOC7PigbDoae+xGVH5FlNT20r\nN63QYnqW9ISqdGEtbsuMUk0G/Vs/5WnfsyEr7EjMTudyW/TrDkeEIn26WpctIUOBRXe1qzdsVG36\ntbbtedspq75Ui4wg4ZhL3nQ0nBmSlS6iZ9jSq1W7bg2GXHLMznDedVLMUZdc8JA2PX7x3Zp98bX7\nvPbHP6SFvjecSk9T+3d+UrtuNca16PM3/YZ8S6ZVmFDtbjiHd8P/R959B9eV3umd/xzgIucciEgS\nzDk0O6uT1EFhFGZGmvFMaTxpvVtO663y2lsuW651rf/ZtWftcdzxJE/SWNIotdStVqtzN8km2QzN\nBIIECIDIOaeLs3+cF8daW1PWaNrW2j5VrAIuLi5BAnjP+z6/5/k++c456Ybd+nQ44pLdbiq25E0P\nu2ebWI4VBdbk2+eas07Z76rr9lhQ6gmveN7HTKsGmyLt7sqxqd6oeeW+6WM69WkJUKAyC67bY5t7\nxtTJCYtaonmtKTero6bHgjJ51k2occhlb3jEhkya4NqC31SHmMJ1e8PueyQwgYv06TCh1nHnve+A\nGZV+y1+UsSHXpn91968qtKLSrNd8SIVZY+pddESHPvd7Jx3KXXFQvtWQBqzwsidSx0pk06ISa/Id\nc8EX48+aiSvctt1Ot2TlmFGlwkwKVc+z5opDeuwIibkyQ5pl5boUHQ7ad4kiK2ZUpVJPSdAuRzTq\n1JvuBFcVmFNuSJMPed07HpCVqzhA9JeU+KpPmlWuObCcZwP397zjft1f9ljVq2aV25TroiOJf12f\nEov2uZp61heUOe+E1zwmz7rnfdSYetWmfN0nwB43zSvXbZd7WoK3OJFTBrTIif69RFBm3jknLSjx\n2uRjDmUuydiwx3UXHVZuTr41myJzyv3V5n/koCve8YCvLv6EBaU+4es25OjX5p5tGo1YHyywK+rW\nbEiurKsOOOSyRSWmVevUp9S8f+OXAjL2De361JjwqNfTYWCuDecd0xOCOZHYnDID2qzK92lfMavC\nQVcsKhHLVWnWbjety7OgVLu7WvU757i3PKjdXTfs0afTmHqTarzrRJB6CoxoMK/MqgL10Zi84CNv\nNmSnHhXB1remwF1thjSrMx4KLSbkyGoxoNmQhZDu/P8TuvO/1PVj2yn/pfgfpQGIxDs7blWBTr2G\nNGswakalNflybFpQmg4mbsR7PBC9LQ73lFYDZlXo0+Gudsed95pHU7ZE0t7RpNsuTYY1GHXa/aLJ\nHNtrbplXKpajxmSwgiVT8dbNAdtyBi0HIM+W9PF8/JzqaNrcWrmH899wxw7b3Ulh7u9lj3os9xVv\ne8gu3eqNuexQiu0ss5Aycs9snrIn50a6W80GUE++Nbd02chmVOdOhXaTBDQfY1GpUgsm1GrTD0G6\n2PCljZ9yIvOuIiui0ECyIWOva5aUeMuDYrk+64/0a/O+A+4ttfhU8VeMaHTMBcOaFFnWr1WhVUWW\nvLn8qPuKziq2qDQQ7mrC929L6rirTa1JWble9oTdulOnTFbC1y2y5I4dGozKsWlalXllak143wEP\netuIRr06nXDOdXvS1GRLiPvWGVMcIFONRtyOd6iKpn15/jP+Qdnf8arHFAW4fK1x3/LRkCKsU2ox\nxI73ptZLWFLsVtylLEo0U9nYqdyzhjW5G7eLojgk6SZ16UnZLePqrMtTbFGJJYtKlFiUG04/7zug\nU186qEyGjq1mVKXA+35tqfOkU2/Y3eeHTUN/Cn7KyKo1YVaFTr0uO4TYiEaVZrXpN6xZrXFDmh1y\n2ZBmC0qtyzOjUrEle11P7ZJZua7bq0u3VoN67NBtt2VFDrlsTb5FJSKxWRX2uq7AarAvzqk37hvx\nxz0VfddaGHAnbJBIxroIpRasydenQ4+dnvMt/drUGXfVfh/1TRcdTYiCHgqtJRmt+v2P0e9+MDvl\nHxI9H33iv9OdcovBcHfc1GJAgRULSl12KP0GrirQp8MNeywqMaLRw950X3TWuPogRfT7uk+YVK3K\ntGd920492vX7lwNJUu1tD+rXZo/rKc/hWd/2VM2LIUK9GMIjVYrDUfKwSxpyRmRlvi84MJ6AgaIZ\nC0ody7/gXSd16nU6vl+NKUWWbcu9Z1ZliDdvpgCaWhOOec+UahkbzjqpKWfYecfdtMuafK94PCwm\nk/a4oTx3zq31RKeuCgyJ3tBosQUu39J3B7QY0+CpzEtOOmcyW63CrA69dritMAy4PuuLcmRdcCwg\nMiM5xRsajaSa+e/5Oa96TJMRxBaVeLDoLRtyk0GeCuXmjatTYNW0KnPKZGVMqnHNPo95VZGlMHDd\n7a52lx0yr9y4OuPqLCrWq9Ne1+VZ12ogPQE0GHXTLpNqbNdrn2vqjNupx27doMakC+vHlEYLdrjt\nybKXXbPXDreVWDKsSY+uNGpfFn62kgj5YsoGXpfn5uZux6PzRtUrseBY7ntOO5X4yKMp+dY0GVZv\n3LtO2pTjWrxPrQnHnVdiSbMh5aH2qSQsoluA+iHNplWmcP29rrvf6VTXX1GYLoD5Vh11QbNhY+pV\nmdJgTIlFlxxWGxjPO/WIsM917QGd2uZu2jjyXnxUuTlFluxwW6MRa9l8o+rTecS4BIY1pdqoBmUW\nNBvyqNdD2m88SFk5PuHrLjmsx87AQMl6e+Mhj0RvuBGYz/VGjan3PU+EwoRk5lFg1Xa3fd7vGNJs\nXcayIjv1uKsDdNul2T3dupSZT3kdH8j1X4n74se2KM8rc8+2cBytV29chz53tVmT77o9rtlnd3zD\nF8c+G7ytuc47rsakVgNOu9+KIvtdtaDMbKC+nXWfNfl+tvV3NRjVYlCTYTWmDNqmyEq6g3ln44Hk\nB8tDIfA5b79rbtptRZEb9pgOx/hqU6HyZ13Gupt2a3fXS56yN7qeDgT3uq7GhHG1hjSL5TjuvCrT\nodWh0i07ZWUMa1JvTLt+lxz2YS9ZUOaGvV4c/phKMx7Le9VOt1Sa8a6T+rVZl+eWLl/zEzYldVOT\narUYTDXf+3LPuuKg0nDc/oaPK7FoVqVHve62HXJkPeJ1v+g3/Za/qNysm3b7Vf86VFnREE4aG8EV\nkBQJzLlhj126XXDMohINwYq2qMQbHjagTa9O+fGaQy6F9pYJ6/Lc56x+rZYVechb1uQrCSeIyhAm\nqDem0aiMrO/4iO96yoiGdKg4ozKpD8q7mAYrmgzLtWmXbjv1OOCKCbWe8l0FVhVZ9nWfcMVBZebT\n8MW6PJ05d9yzzRNesbVNajZku16NRnTosxgXK7DitPv9oZ+RjXJdcth7jjrjlD4dsnJVxLOGNJtX\nqt6Yp3xXl1vud8YtXSrN6Nfm9/xcSsFL4ERNHvCOIdu87EkjGq0Fb36lGeNqzSm3pFiZeW95yKac\nFOrVl+0wrs7HfUO+NfXRaDr0XpenQ5/9ucnsoyjwQ/a6oV+bAmsJcU+LE95NiYtf8xNiOXa47due\nVWtcayhwvuSInZlbSi2oManAqjkVqkz7Zb+R1kFds0/GhmbDvuU5rQbSFpd8awa1uKVLRtZ9znrU\nGwqtuGP7B7fo/FciX/wnF+Uoin4ziqLRKIqufN9j1VEUvRRFUXcURd+Joqjy+z72t6MouhVF0Y0o\nij7yp71uo2FdbqXuhj/20y457HGvuGafatOJzzLq8Pfr/54CK/a75nqc5P23IsKzIZWUmOwXFAXr\n133OhPh1csRbk+9f+Etu3j3gmn2+6LP6dHgy811l5jUbMqLRy0PPuOyQT/i6MnNOelezewa0GVcX\n5IAaXXpEYvPKHXLF+w4Y0mRTpNsud3WoM5Hm+F/y4TRZ12jUoNbgChmVK6tXpzZ3U0mn1oTjTe8E\nPbPNjCpTqnXo1apfvVH7XfWYV527er+F5cRm1mOHNv0hzpvxsDe96WEF4UZUY9Jp9xvW6CnfRWRT\nrguOe8yrBrXY7WY66Pnd5c/7I5+TDZp+hdkQPz6oyy3/7PX/2Qnn5NhMjf4HXfGQt0Mab0BetO7f\nrf60GpMqzCWc5jgvdcRsyLhqv4WgR2bl6tRrRaEy80bVqzWuyrTcYKkrsmy/q+532jX73LPNjEpV\npu1w29sedM82lx22U4/f9xe06Xdm9f6wq11M4UJLilO403CQTQotm1ZlU66r9htTlyziUZ+3POxn\n/YHP+x2tBtzvtHZ9HvOKyKZys25EexRbMhakqLc9qMGIu9qDdaxCl1uqTWo2pNKMGZU+6atpRLrR\nqDnlWgwoileCBj5tZqrWTbtNqHFHp8bwuuXm0m7lc06IxM47YV2eFz1jUo0rDurVqdGwAS3W5adD\n3GRQ/qgut9Id6oxKp5xJE4PHndfllvclXOUjLrrgmA0ZLQZ92WfkW7OqwHV7rctzxQGPe8UtO73m\nQ46GFGWSjMx6afRpGzIe8A646KgXPa1PhyrTf+ZF7U+9/vN09H3g1w+zU/4tPPMfPPa38FIcx7vw\ncnhfFEX7JMWB+8Ln/PMoin7g39Gr06gGi4qtKPQR31EZfJNbvNgKs66EBXVZsQWl7ovOumebrFy7\n3bTF3H0ve9QVB20ELsJXfUqMyw5rc9c5JzznW2rbk0blh7wZoPmxYY3mlKs1YW/zFftd9ZaHFIRh\nXquBdPiRAF4S/3SrAa367XNNu7sKrMnIKrFgSbHt7sjK1e6uj3reVinqPlc953nf9lyK/iyybF65\nOeWu2u+ebVoNKrKcxoLH1Ltpj0qzKbZzUo0P7/+WkqJ59cZVmbEpxzb3vOeoHjs1G0p3i1tx89c2\nHgvH1XqveNxuN82oTH2lHfrMK/NU0csOueQ+Z121X66sWpN2u2lOuScefUGOTXe12+6OBqNu2BM4\nFdPW5Lm9ud3RggvhWL5mcbNEX5RoizniVFcd0uzrmx8P/X+rqkyrManNQPj/GEgLca/b67Qkrdeh\nT4EVJN2PwxpDNVGykE6p9rQXk7LXgoy+gR3BWthuQIur9qs2lc4Ucmz63vKTSiyYUJPCp3p1yk2T\npMuuOKDHTj12yrNuRpV8627aY1iT6SCHvepxFWYD/D4rK6POmD4d9rhpUo0hTbZ9XzVZnnWNRux1\n3VUH5EXr7mr3oqdtr+42enWba/b7iJeMqbfPVSe9677M2XDjTG7Cp5xRbyxFFWxJHHfs0KczQJUq\nQ//krDzrysz7nifMqrAu455mu93Uq9NNu1OO9kVH5IjTNGTi6T4jx6Yq07Jy5VlXbzxYJafsdlOJ\nRdvcC1LHuKMN51OJ61GvW1SSEB2DXfQDu/5b2SnHcfwG/9Ht6hP4nfD27+CT4e2fwB/Gcbwex3Ef\nenDfD3rd7e6IRQqshcUxSYtVmVYRIsAVZuRJChmT6prO1EA/G1e4YbcRjYknOHc1RXL+k+t/Q5Fl\nu9yyJk+O2LO+rThe8rhX1JgwpsEhl3136mnbDNmlW64NbfqNq1UcUnXrMrb4y+NqRTbVhSHKghIX\nHU313MQeVuu2nVblp7VNlxzSY6fnPeeQy4YDaasmWNo2RXYGJm5icVpyT7MRDcmyH7dp069Nv4e8\npS00IU8FGPwWU7c0oBmHJMnETr3a3TWs0WkPpDeV/a76nzL/TCxKNb8rDmrT76xT8q35ks/4qG9q\nc1efTjMqPeMFd7W74Jg+7YotOeySbQY94B1ZuV7zIbHIiiJfjj+jxJKCnCTRlfih58mJ3bbDJ31V\nh15LigKw6IzHc151xUGjGg1oNa/MMeetBcvWVpHndnccjK+oyyYN5sWW3QiLYa/tFpRqMGZUg32u\n6ddm8G6bA973862/bV2ePeGmftgl4+rk2vCEV9znrJaiAatB40243MPW5JsK6NXB4M5oNOJ+73je\nxxRaccVBC0oVWg32tQGf9UUder3sSVNq1Br3u+uft6JQoxEtBh3znmmVtop4N+XIkU0j7HnWLCp2\n1Hs25Oraf01BcNa0GPQb07/idGj27tNhSXEADNWaUZE2rm8NErcaSirMOu68TndUmXbHdlftV2sC\n9OnUaNRi2GRUmXLEJZeD1DYYqHVJbLrbURd9y3PpYHch3Ii77bJTj1hkTpkVhb7kJ63JD0PvIV1u\n+ROfUmRZsyFX7Utvth/I9d+4ptwQx/FoeHsUDeHtZgx+3/MGse0HvcCMSu3uhqFRYkN6xeP6tabs\ngwVlasKOplOvm3Fyl241qCUadDDUDV11QK6sv+D3E9bt3hccclmB1aTQaHPdXW2mo2oDWk2GoMkl\nhz1T/U1veUie9fSot6owHVxlZP2jlf9Fr44wiCnQFnr9EmBPokkWhjjovHKtBhx3wbpMSMfFplRp\nNehbnrPVqdfubkiWJYb/HjtT5GOxZSuK7NJtLKrTbZfvekqZeQvKbMjTZsA/7/vrwcBfaFSDcrMy\n1kY6qccAACAASURBVC0oc8khL3jGQ96WseG3hn7VrAp51k2qcdnBgNp8w0JIVzYasSbP075jSo33\n7bdPsgAsKvHN7McC/3pBQZwM+FYVmlcq4VrfUWLBOccdzF6xLi9ol7nG1YnlaDKiJF501n16dZpR\npU+Hb/q4be5ZUWhBiRoTLjvkBc8qMx908xoLStzTbCEqVZGbBF8KrDrljLX070s4EwdcMapBqQU7\n27stKPFtz1hQ6rT7Qxw4UmXajCpX7XPeMQ95O5zGusUi5x3z7fVnfcfTVuXbERaYPW5YU+CEc8Hj\n22unHh+OX9Ibd1pSYlxtCFT02u2m8477TN6XTakO3Yn1RjSaV2YqrtZoxFknTYQmma0W7S49Kfxp\nWXFaZbWi0C9U/bZnvSBHbFlh2lJTZVpGFgJrY78dbjvkcgqz6tNhWLPveVK7vtDyksSgmwzJ2AhB\npHJFVlxwzCEXzStTbk6OTZcctqjEgFa/5DfMK5O0ozfqsUO1SW95yIoC2/Val/Fz/q2bdvnS5k8G\nD3W1wy4Ftni9wy5bl/8jLlE/4PovuChHUbQniqJ/EUXRH0dR9Et/ps/9YSxxURR14BtxHB8M70/H\ncVz1fR+fiuO4Ooqif4rTcRz/fnj8N/CtOI6/8h+8Xvyr8a+pMenF+Wc9W/a8TLAPjalXY9KQZpMb\nNRozSSvySe+mXuWMjRSLuNVuXGRJoVXVppSZM6FWjlhDoMZdcdBJ75pWZVmR27arCjpei2RXlJWr\nxEKIcGfdsFu+dXtdN6PChjynnHHJ4dQhsqJQsaWgXR+2oMSEOvtDTVXSBVicWoiS41isxpQJNV7b\neMwnMl933nH7XTWsUWG8amfUY1W+WZWu2Rt2dRuWFPvKyqf9SuFvGNGgS0/agtFtlwe9jdioRuVm\nvbP4sE+XfMm4OjmS9uCsXBPhNFBqQb5Vvbbr1GtapW3u6dOpPECFTjpnSpU5FQaDLS0JgkR2hvTd\nEZeUWrCkSJ9OB13x1bVPKsufV29MLEp3f7t1S1jNNcrNiTcjmzmRHl32uCFX1iWHdbrjrFPKzUnY\n1bfTXVy7uzLW5dkwr1SVGRkbeuxwxCUv+bBYZFSDx7wqR9ZYqP7KkXXHDh36gqtl2qISpRbS+UOi\n6ycc7lt2kWVb7r2UZDen3Kp87fpTZ1CjkaTOar7eQ2WvB6dFnox15aGubEaliw572FtporLIsgaj\nbunS7J4csWKLrtmvKbTvdOqVb827TjjoSoD856RIVhLIV4XZdD6RoESb9elQYVa9MXd0KrAW5Iqk\nKX1IsyFNys172Jsm1ZhUI9+qKTXB95xVYMWy4hByGjSjyqgGmyLzyhOftTzLCj3iTdfsC0PNpDw2\nKfUdCRuCQ3au9VjLzw/2Obqn9nmi+qX0BpCV693Vk94ofPqDscRd/CGfe+SDs8QF+faP4jj+6R/2\nc37UnfJoFEWN4S9tIozduYfW73teS3jsP7quf+HLXvvC60r+r7/p1qtDrtrvfHw8LHQFIrGizLI8\n6yFumxxb34/3i8SWw3CmV6c7OnXbbYcesyq86z53tas07WVPpnrknHKzAUq+yy2HXdKmX4Q1ecbU\nazGoK4Dbq8w44qIJtRaUqTLtaxs/YWigxchGQkkrtWBVgZfWnzasyaRaJ5xLbVbX7Atf4/YwcV6x\noshNu80r91OZf6fHzgQiM/yYKtNKo3mn3W9SraxcDcb0azOhzoIyny/8XXnWXbPPJYdTIHkkdtNu\n9cblytqUa2/JVeec8NLKh5UEf27CEdmw3e2wOCYJunxrcm1qcU/JxqIiK0otumq/W7pMqfaMF1K4\nfrFlr3rM9EriqZ1XZk5F+otdkz/pJ3zVDj1aDTgzf0qBNRcdkZXjju0mVdvMyQmzgNl0Wt+m33X7\n1Bl3du6kYy740spP6dRrTjkoDKyLNQWWFQVHxYKXPalTbwoZumq/+oBvXVCSShZJSW6l31z/Rbfi\nLq/c+bBNOdrdDTLRgCk1jrngUO5lry086i0PGQiukSozzrrPmHoN60nf4H5X7Sjrdjdut6pQjqyB\nbJvbtnvdo8bU2+WWFzyjzLydemzIdUen4845436XHE7TlXtdT/Xxq/Y75j3f9WGDtpkPLTtVplOH\n0axyO9zWrl+v7SbU6HJLnnW/PfHLDrscZjFZdcblWXfCOfnWbXcnlV/mlNvptiMuBlzorEji5a4x\n6Z/M/rXv0/PX3I6TJF6ZeVVm3NKVDuCh3Lx31h8MQ9VIiwGl+QtmVIYh5bzd1cnP6pVXp731hVdc\n+cLXzP7Df/IjLlE/4Ppzaso/yPQQHn8mGBtuRVH0v37f4x/H8/ijP8uX+aMuyl/H58Pbn8dXv+/x\nz0VRlB9FUSe6cPYHvcDuL/yUD3/hfo994RG7H2u0Kl9H1KfcnHtanHHKLt0uOWxJkeE4iUB/IvqG\nimCSJ5ax4XGvhmFWnTtxpzX5Go26Ya+itaTUssakYU0uOuKMU77h4953QJl5B7xvTYENuUY0+W2/\nEIArMwZtk7HumAtKLJrOVGlvuaM4k6AOa00otqQgb8UBV9Jqm1UFFpSmLICsnDQFNaMyLCUrrjgA\n/uDcL6psmjCjyld9yqNe956jqQZcZ0xr+DcPavF/9/0NuWGgEolD0eiGA97Xp8OqAoddsqzIY15V\nX5hAkdbk2e1mIPfm69Bnl24ve1LCRZj1podtZDIuBQby9zzupHMOuqLbLt12ecMjtrnnp/2xosIl\nkTh1P9ze3KFS0pD8m35Jv3a1JvyF0t83pk6JRRcc1+6uXFkve9JNu/QOJl7ee7bpjTsUWrHHDX+1\n/J8mGnZhclPZpduUat26rMtTZ1yPHfa7al2eFoNe8bh1eS44apfuVOdMaHRJG3m5WTE+lfcnoig2\nW1OiOKBgb9jjW57VZDjVyZ8qfVmDUftcU2PC+/YHf32J/rx27fqMalBlSlU0bVlSRtuUOxxKXvOC\nH7kgHajNK9Nm0A53TKhze3OHU07bZiglsbUaUG7eNoOGNbnPWW363dVur+sqzGg0ktoSK834ZvZj\noVEnGTxXmfb52n+jxaA3PGJeqa2WkjPuU2cs9Oo1aDJsSpWv+4RxdVYUGNRiXqlJNfp0OF5x3pNe\ndsExdcY9Hb1gcDMBE31p6GctKbak2H5XNQaE7q68bne1G9XonbFH0kj4E74XChVWtbjn8GMV9n7h\nM8q/8Ffc+9v/8kdcon7A9eeXL/4j00MURbn49fD4PvxMFEV7IY7jb8Rx/Kx/v1b+UNd/Ur6IougP\n8SHUSvTjv4uv4Y/Rhj78dBzHM+H5/xt+ERv4a3Ecv/gDXjN+Nv6yIy4mnk6zenXITufrqrrpeR91\nyCXzkgr5+XCn3pDRqdea/GQKPHvMhytedNt2+10zqt7gRLvqynG1mUlffPXnfeaxP9SuL8SqY3Mq\nFFgVi1SacdER9znjZig3HdaoX5v9QUddkycTFquVoDVnbKSA8Ov2aNevxYA5Ffq1pa993V73e0dh\naN5Yl6fQsiJJm3aurBWFmibGjNTW2eOGs+5TuzFhV6bbdGA1b8j1tO/4tmedcjrUuydshZPeNabe\nctj15dnQasCYekuK7HTbnPIAP0+g8+cdMxHXa496tenXpyO1RJVatCrf8kax5syQ9+33qNfl2lRv\nTI+dSizq1yorkzoGys1ZVqTZvXAqSDgOA4G98Slf9bpHQqFqr1zZtEl86+i+ECLMA1pYzXGk4IKS\nwHb+rqfscDtFbo5kG72f3e/+/NNWFNrtplWFenU65oKvrH3a0fz3LAV3zxZetSj051WaSV0czYaU\nhOLdOuMGtNrtZppAXFbovOM+5DU37VESGkgm1ZhSpS4EORJ2Rb5Brdr0m1CbwvxrTejVqdqkEktm\nVJhRpcGoaVV2u2EsuHCqTTnnuEe94aIjKVlwVIOP+I6bdlvdzNeSM+jFief8TO3vpRH/crPyrblh\nrwoz3nNMoxF3bLdTj6xc49laH8l9KbkRZnf4dO6XfctzGo1oMKLGFGLddltSrMiycnPG1MkN7qMi\ny95zRK1Ju9w0q9KwJk2Ggxe+IqX1HXfBqx5zzAVZuaECKonoV5pWZsFCuKEkVVKRSw5rjQfkRhv+\ncfR3Phj54s4P+dztf7p88QOk3Afw9+I4fia8/7fCU9/BpyUmu+txHP/aD/21/rhi1r8Y/7oOCcDl\nqv2aDVmXZ0hTgL9n1IS47oaMWI4SCyrNGgtpsOPOe3XjcccyF/RrM6rBA96xHIzxdcadc8IR77nk\niNX1Au15d5PeueC3zYb4dKc7Xlx6TnXxhGlV7nfahNpALDvuAW9bU+CiI6mLYEqNgtDHl2fdsCY5\nspYCHGbL33nNPvnWdOlOm55//cZf91f2/GOzylWZMahFjUkjGp101tcu/KSHjr0WmkHumlVpUo1C\ny+oD7/b5lY96ovBlRL4af9Iz0QuB81Dq5fNP+/njv+kNj1pR6H6nlVgUid2zTan5dABXb8xgKAiY\nUWmnHkO2BRbBoMGNVqWZ+bTKaE2ebYbctj24E+ZVmQ6c5Dm5sm6N7lLcsKAg4EJLQnNxnvUQbx60\nosis8qBZbib2uTDs3Ioen/SuYU3W5Ltqnx3uiMRBH02ANrd0mdmo0pZJBsdb4KMy8wa0ajJsRKNW\nA27pUmohxbEmKM4txkWuCjM2gpTV5ZZ8a27arU2/ZvecdcqGXHvcTMl11aYMaQq++UqdenW5ZUy9\neaWu2a/MfGoD21rgR9Xb75qr9ltdLNZa0mtBmTrjKsy65JBlxU46a1p1qMdKQlfNhhRbMqTZphx7\n3HDOCSecS/nEfXGHk9G7gXSXuEguOew533LbDvmS8oBt7oX/n/5QcrBsTJ1bdjngfTftTp/Tpl+Z\neWOb9a7m7LfdbWUW9EscQqUW0sq0G/Eey1GRPa4b1ahB4g24ap/7vKtPh516XLc33elDpWnrIdHb\nYNQ/iP6PD2ZR7v/BH3v1neTP1vX3f+3PtCj/JJ6O4/hXwvs/h1NxHP+VH/Vr/bEl+vKtuWebOeUu\nrJzQqzONxK7Kd9wFOTY1Gw42mvI0+VNtSoNRkdiRzEVLofV6jxtWFBrfrFVmPgW3z6jSrk9D3kia\ncFtRoDIgM5sNueio+uJhRYEL0G2XUfX6tHtt7UNGNXjdo464aJtBlx2Ssa7LLVstyQlJqzAdGiUw\nldgeN+xxw0170rjp5/f8G7MqXAt6bal5d2xPWct7jr1vQ8aoRt/wCQJ3YKuy/bue8nThi5YVqzJt\nW3RPv1b9yx3W5Xnu+Ne870CITidH4X/Z91dTTXBUozIL3vKgIc16dSJxxawEfu429xImbybXDXu8\n6CNybOrT6bzjGo1qM2BZkVENjroox6ZCq55s+K6VEKGdVaFbF5Kh0nHnDNmWQtWJvOeoG/YG+Wcs\nTbF125XEme1TZyJtm35h8qMKrPp/Fn7ZbjfEmWShPpM95TsbH5EThoVbNsFaE/5o9XPKzcnK8YTv\naTKs0oxpVUot6tItz4bbtiu2pC/uSKHwDUa95WFNhhVYU2vCoBbvbD7gtCRi/7Vzn1NoOXADM6ZV\nGY6b7XXdlGo5NkGXbuccV27ObduTGquSrBvh52NDxpfjz9jnusMupU07b3g4+Zn3nhENqSSWby0g\nWoe856g/GPiFJGQUDdjujiLLOvXq1+ajnregVL5Vb6w+Aq44mGIObtsZYuh59rgR7G4brjioLswq\nrsX7LOcUpQWsLQZdXjtkJptY+mpMOueEmajSSe+6aU866EtOd+d02yVXVrOhhFS43qzYYmAwJ7v9\nfGuu2v/BLTp/ilzx2CN84W/++z9/xusD39X+WGPWS4rNKfdThV/0uFc0hxLGjhAkaA99XbfsCsfQ\nogDXyZOV6xs+EUz7lYosy5XVr01Hzl0ZGzr06dNhQ4KUzLee1shPqDOoRasB1+01oFW1aYtKzSlL\nBzKzKnw4/yVLSjzkLYuhs+1ZL1hS7H8f+Ae6dfm2Z23VN1UG5OgZp7zhUTHu6FRvLNiZimzK0anX\nQZc1Lid1QzMLlfKyiaNgWpV+bWpNOLJ5UWkw3OdZd9AVH/Ed+QEe/+bmQz7riw64qr5oRLu7akxp\nDv7rpOdw1t/u+PvgXtitX3LIo96wKUeHPhtyHXLZjCqFVjy/9lHLilSbUm/M075jt5v2us5Qrhc8\n47q9SjYWHXLZN3w8yFEzqV2qzri+zQ4t7im2aF3GmgJNhn0rfs6mSE4YvD0YUoAF1uRKWBzNhsIv\n6Koak67ab1KN3TXXrCpQbFm33SnPNy933f2Z025v7ExbVWBQi18p+Ndpw/OU6jBgHQox+lnf8XTa\neFFoJUVPZmx414lA9BtSZMk1+3S5pSvnVopF/aUTv26HOzbluOSwc5snFEdLfq/vF3Xo866TplSp\nN67JiEKrgQdxx5h65eYMa1Rtyr4o0cffCwGNRSXa9LthjyUlVhWmHYSDi23OOqXEUvL71Pp7lsPv\n1lX7Uj5y3ua6VzzuZU8kFLaCayE5OOJb937Ce44pN6dXZ1oXlSub6r6NRvRrszPqgZT7/ZoP+R/y\n/5XG3JFQSJt11HuKLJtVHobpsVnlysKNaENGuTnnnLDTLa15/apNu2GPL/u0fm2aDclkNz64Rec/\njyXuPzQ3tPr/2oL/zNePTb741fjXzH2fV3eLCDauTrWpoEuVm1Flh9ue91Gf9mXX7VW4vqYkb95t\nO1WZSquZiiybVJOa77caPypNazXo3fEHPFb3XXd0urG613pBRmt2UJQbazHoth1p+eiQZvnZNYu5\nxaqDk2JLotgClifVRjvt0OOqA8E+9m4o+RxVatGgFiUWXHFIVm7oZxtJZYwyc4bibUqjBZFNcypU\nmFFmwZwylWb12Pl9/t1SDUaNatBkyGkP2Ou6cnM2ZLy9+aDW1XsKi5aUm7UhL921HXTFJYdVm0qP\n51sUuRYDZlQpN5v6UQuspHS7Qqt2u2lMvcLwsWLLsnLdWNrnbl6bz+R9yQVHnXDO2x4KreNLlhXp\nz7Zqzh22MF8ur2zVuLoQ696mwZg+7elCsgUnGlOvI+41FtUrkHTrbXGDK8wqsuyudkubxdpz7mrT\nH5jR1TKy6o2ZVmladWiTLk4XmgSrmZMmAHfrTiH2HRIZYTpovkuKlJl3V4fCeMWHote8GD/tyehl\n7znihHOm1FiX52L/cTvbEu9ya3CQbHnPj7jooiNGNWjTr96YW7rkWZdrw8JauWxejmyUY6fbmgyn\ndrst295e1/XpkGfd7TDcnFCbzgWqTMkJp6oakzbkKrYsEhvKNlnNLbTX9bShZC348jv0yg02xaEg\nmQ1tNmvKGRaJveeogy7b5ZZvec4Rl+TIpszlKlNJInW+0kZZjk2RDXlaDZhSLRt21JNqwDX7EkjX\n5oQ4hyozSizqi9vti65rNWBalTX5/s/o734g8sXm5A/33JyaP5N8kcFNPIkhibHhZ+I4vv6jfq0/\ntp1yLHI7u8M92wIF7E5aGBqLAv+1wsBSu9wwvBrSrNCqjbxcw+vbHPC+O3b4zfFfTvWqcnPhWJWQ\nqQa0anFPr05VdWOh2aTBswXfVmhFS+5gClfp0GdNvl6dxtSpzx2zwx3zytI0WUmwiO3Uky7Ok2o1\npanAbHpkvmebXkmAoNKMh7xpSrVFpWZUqA9f81CUFFV222VVge950ln3qTKjx05vLj2cVAqtb1pR\nKGPDXtf1xF0e90p6s3h580n355x2X9E7YWDZrsakBqN2uxmqj3oDNCZJVQ1q8Y4HLClxd7PdsGZX\nHDSvVL51J5zXYNQB76de3A0ZqwrTKLziTfvzEmfGgjLf86R9rqoxqTjY29Zz8+3Sraxs1pp8h110\nzzY1piwoVWDNTrfscFuOrJwAoBqKmlO5pMmwojgZhG3p0/XGlOfMOeGcVQXOO25RqeYg2exwJ0Wb\nJgnKYqUWvLL4pLc9EIIgd/z++Oedc8J+V90JPuQ2/Q65JCK9Ie6MenzTx5yKzviKTxvUqk+nu9qN\nb9TZ2/a+rIymmVGFVlO/8CmnTavygHdSy+SmyCGXbTMowtH8C+qjUR3uGrTNLV3he1MsY8NtO7zi\ncWPqrSpQYNUFx9L03oPe1r2+20GX07TnyEZz2mhTtLSm0YhCK97wiA59ak0aD3a7005pMJoOitdz\n8nxx5bMWlTjgij6d/thP69BrRoWsXKUWja42ijC5WaOpbFCjEdWmLSvykg+rMelesPAl/JOk2uuA\n97XkDMq3HtpLchyIrrqYPaxbl02RGZU/YPX40a5s5of786ddwfTwNnZFUTQQRdFfjON4A38ZL+Ia\nvvjnWZD5MS7Km5s5+rId3ll+QJn5MHVvM6naghJ/4lNqTZgurpBnI7AWKpRYtJ7Nl8lbTwtEa1dm\n3bBHt11KLFpVYIce4+ocdNk922wzqNmwWRXa3bWo2D7XveAZ/Vr9wczPqjRjca00PVK+b78x9bJy\nUptZrYkwhd/trPtSmNEXb/y8cnMm1OgJBLgNGVWmLSix3R3X7Nf/+nZ3bLcpgZtfdSCtGtrvmnJz\njrnggPfFElb0I8WvK7ZkIq9Whz5zyp12v+IoaS750vBnrcnz0ZznzcXlrjhov2vOzCeJuXu2qTSj\n0Ir+bFtgTfSnbomHvemL05/VkjMg14Z6425ld7llpxybFpV608NaDbhqv0ozXs4+pcKsP/I5LQbl\n2Ui0bfdS3bVXpwuOu6vdSWfTuqhb613GQ0joDY/4avaT+nTYKtrMtZnIOaq87kNmAgb1347/gh1R\nAoLakDGnXKn50Mbd4YxTDrrisIuGN5vCLrNBnrU0gJJvzagGp0re0WxYUn674WTdO9rcNaDVM17Q\nZMg1+6wodC/eZlqVn/dvzaj0kDddcEyrgXRXv6xIJpM0rrQYNFZZa1GxWE4K37+4dkSPnV72hLW4\nwKhGg1qCn3nTkiKVZm13xzHvqTDr9lpS23THdvc77YlQuJqx4YY98jdX04HYmDrH884Z02C/q1bl\ny8+sGtFoWZEDZZfDzb9LtSnTqgwEANVRF+WHf0euDbHIbjcdKrws6UAssM81n/IVNaasKjCh1oh6\nzfn3TKpWlLPsnhZLijUasd0d9UZtypEvwSD80dznZOOMWhMuTx+zqNhx50NRxUPmlXks9zX92mUC\nqOuDuv68i3Icxz8Tx3FzHMcFcRy3xqH1L47jb8dxvDuO451xHP/DP+/X+WOTL346/u1USxtTr91d\na/LDbnhFuTlr8uXKmlOux06HXLZVZdSzvlNl3kzo7ssNEJOxgPqLtBhMgd751tyx3SlnjKm3w20D\nWhPrlchqkCKuTh/yUNUbtnrd/njqc56r/qYiS9YUaDDiguNqTZhQa0Mm5RdMqtE9vUdn1W2jI01K\nGucdiK+qiqa8tvGo+zOnJX1+zXJlrcuoDDa/mrBbSQZwCVVsJNuoK/dWOvgptmhUg7zgMF5Qaofb\nxtWlfOBGIy7NHlNfMeyEc96MH7YnSibfMY666Kbdmgx724PhCJ2wbxeUGtPgpHfdzbbL5G6kHXhV\npjW7Z1mxZUXmlLu2csCDhW/KynVm5kHHK8/63vWnfXbv7xnWZEGpFoNu6UoCMRZMqdJkxEjcqCqa\ntiEjz7oSi86snHKs8IJNOQotB7/Amjc9rG+u0xPl3zWv3LJC1aZdctgD3nHNPgddtqBMn3bVpo2t\nNNhRmMSgc20oCZLUoBbnlu5zqPhisuDNdckvX1FtyqZIhTmDWlSadidIWZsiO9xx3V7Flmxzz6CW\nFPjz/Q6PrNyUlT2jwrIin/EVp92vL+6wK0o6/96Y/pBPV30p+Iqy3nM0BQLVG9Ov3Q49gYZYYEy9\nrRb3ZkPe8pDJsXqfqv+SNzyi1IJDLunRZadbem1XJfFJb/VM9mvVatCQZhfPnLD31BUVZk2ptt/V\nkOLs0BxuRiNxo4PRFe86mfrJt7tjWqW7OuwJoKQiy+4tbRMXR572olu67NBjVaGLjjgckp7TqmzI\niMRGNagM/voGYy47KBOcPouK9QVNO9k0DPl69LkPRL6Y3fjhItsVmbX/Pjv6Phb/sYyNtLurwqy+\n9Q4beUmZ/dZktnttl7z89RTluKxQjSnrMgqsuavdqgIPe9MNu91a3WVfQTIVHrrTqnV7srOMV3JU\nFU4ptKJPuwWlVjcKFGeWbDOkxqRK0+7qUGpBnw4PeMdFR5SbU2reVlPyWx72iDecefshH3/wTywp\nct0+TZvDWnOSYUyvThObdQ7nXAp9dUkV0vemnnKwOqkO2rL75Vm3vpmnKmfaNoNu2qPWuOv2OeB9\nk2pcX97rcFFS+Dqg1REXrSpQakGedaPq9eiyzzVX4oPao7tmVSjcWLU9k3iVF5TayGZM51YGX3Fx\nADd1G9Fohx5joZSTSIMRRDLhRnDTbrUmLCu0W7fLDqkx6YoDPuR1f+KT7nfG+Yn7HKp9z7haO9wJ\njofkxjmmzqQaT3vRHTvUmNSnPTSqROnp57q9oZrqtl6dVhTq0Gc8fH5tPKEoSjzHdcaMaDKl2j7X\n0iaZrSBHqUV3BrscaLnoxvI+24oGjW/Was/pN7rWIJOf3ICu2p8MU9fXFeclp5AtyP/CZqm8nHWL\nihUEPTrHZrrYb3dHmXnvO2BRiUe8YVydZUUKg+2z1aA646kMdC+EOwa0Ohhf1h3tUmPKHjfSPsUE\nY3onjcFfDw6VO7abUak/22bbypCOkl7LipLFdXm7HUXdSiwZU+/G7F4jFfUyaxuO519QaSZYG/Pl\nW3XR0aTjcqpeXfWoLrcS/dyKGEvBqlYcPONbCNtKMyE5OyPhnWfSXspVBQnrZC3HUH6T3W6qkjTo\n5Fs3aJu5tSr78y/7zurTjhVckCO2ZWZo0+/q5n75Oau+GP3iB7IoT8VFP9Rzq6Pl/z6bR2ZUmlYl\nK1ezIRtyFeUth53tajrh3p5/W6l506r0xZ3uxh0hm5/Y3uqMqzem2y4FVj1U8KYSiyrMKtuefx7d\niwAAIABJREFUYCjnlVoqTApN3zr7qFaDqk0ryKxZl6/GZAgS7JMrayRulCvroiPG4vqUZzGk2SVH\nHHRZjk2fefCL8qyni0aUkzgHduu2Ic/hnIv2uGFSTVrQWlc9mvqvdweexaxy/TltlhW5aY8VhW7b\nmTY2v+0BTUXD+iQA82d820VH1JhME3Y5YgdcsSpfdTRlOgDgczIbVhWkBLptuYP2uWa7Xmtr+Wn6\nsMy8brvNqgj/p0lf4Raw5j1HNIX24kGt3nVSYaibKrTq3819zid9VbMhJ2rPmFItIuAus644qNaE\nGlN2up22jyQDoHuKLaUJyJc9EXajic1wcq1GmfkUAFQQr+qKbqkybVCLPMm/cSauNKMy/Z5+NP6W\nSbX2uOFoy7tWFDlcdFGjEQU5a0rjBSfzz4bFvtYRF7UY1JfX7pXbHw4BoD3eddL1nL3ed0CDMRtx\nxkyoH9tqS6kyrcSiWuOOO29MvSZDxtWGLr8yt7JdBrQqsmwplGqVWlBm3ivRE8rNpbH8M06lvuA1\nBUFyK1ERAk8VZpz0rrLcOfUlI/q1qg986umiBDXwgme8NvGkyoppFWYtrydDwxILvrP6tPL/l703\ni5Esza/7fneJfd8jMzJy3zMrq6prr+p1prtnhsMZ0sMBRYmECIoCZNgG/WLAkgHDb4bhJ1mQDFgy\nRVEWKEogh8OepXump/euqq4la8l9z4jMyMzY9/3GvdcPNzpJyrbUghsYktIHBJCIjApUVkV+97vn\nf87vUDUofrQp42XWv4mMyjJXCZPtb7Sm8zb5tm7MESRdpaj52WWSEFmOiZ9bKes4+V7lOxwySgsb\nXnMJMx22mGWIFIeM0VAdyKhcMz8gT4jXLT/r0+AM99It7rPNDD1RInvOOvv/v1SkL/T4ea+f26Yc\nIoeNJmssAjo+ygYbot1mgoM+e1bDTJdTYkTIkD4YZFFYw641qePgs/ztfuDBc86g2GChr4upjJKg\noAUo6T4ipNlTJ5i7vsYxcUY5ZIAzXmCZNBEcNDhjgAxhFMGEmQ49ZC4JzyjqAfJqEIHPh0VO0kRI\nMsLHvEQPEwEKmFD4Ab/IfW6yyOq5q8BFDTsNNM3gKnwuFRwyRgcrOiIXec6eNsGattgPp9TPU08X\nWENFIto7I0i+P8g64ZBRvsp7yPRoYaOClwjZfvCm2Oc/qGwwzyZzXOMRa1wgRJ73+ApBcx4rbew0\nqPXlkAJ+TPSQUPFSRkDHSY1rPEJBxkyXiJKh0jU4IgBx7ZgF9wop4uQJUsLHHJukiTLT5wWHyLLT\nmqWkeftcaENG+Uy92R9ijdPoD6xAwEUNCdUYiErZPjipa/yiC2Weq5doY+UOdzlgjLLiZUFYJ0qa\nNWWRJCN8KtzBRZV3el/nIde5373VJ2DHjTi/EOPHfJMUQ7Q1g9d9xDBnDKKNGMPGMQ4Jtgu8yU8Y\n5BQRjUlhj8+78u5ymw3mOSbOv2r8BlKfLR3ljH/S/W+YYQcTitHNKNWMME4/qOPVytzlDgOcMatv\noWDGprQw0yHGSb/EVOaIeN8KKhHjFBMKP8z+Ev9n6e9ip4WiWJhlm4+UVxHRKJf9nBTjvMG7XA4+\nYpQEc2zxTccP+z/jCNcsDw2OuOqmghc/BU4YJKmP4KdIjhDvNL/O+/U3mGfDaBYRCtyr3eFMiNIU\n7SQaE3SxECVNCxtT7JEhwi97vk+AIjFO6GBhN7vQRyZcYpodPpFexEyXf3b3vyJCBg8VKngxWN05\n/pHyOwYHuxdA7BPuvozVQ/pCj5/3+rnJF7+u/zM0BOQ+//U2d9lmFhMK9wsvcTnwiDBZ6jjZK88w\n7t1BRiXJCD6KHDJOjBNe4SN+0nsTr1whT5ABNY1XKnKsD4PAebNHpT8trvcRk36KJBlhmCRmFFQk\nhknylMt4tCo+sWR8oJjCQ4UABay0WWOxb3LPk1PCmEwd8p0gbrHGhGmfNFH0rkDGHKGMl3EOjA3z\nxM/VgQcoosx6/QJ+p5H7P2KYMFkiZPq3vwtMcMA2M+flsRPs8UC7ybh4gJM6z/WLeIQKmi7ygrDM\ng94NInIWM93ziOvnP2Naj5JpDHDH+cl5hdIxcay0GCPBZ61bFGshFsPPzilfABaMpgu9KzJj3qaN\nhUPGydQitAQHv+h8i7v6HTxUqAvOfvv2AkEK540hRledccH0UOGEQap4EHSdVG+IBdP6uWxwgVVc\n1LjHbSpdDxfNz+j2T167TDHGwXmf4ufAnMs87TtIYsT68es4xxx0Jhm0GAUBzzuXeNnyISniOGj0\nAxsGPMeEgnpo5lP1JX578v9ARTqPvwtoSG2IWA1bmpcyp60Ygk0zrFt98pqggMtUZYJ99pikgYMT\nZZBXTB/39e5VVrjQR2/uku/f5Vn0Ng6hiav/b9TG2v+8u/p+3jqnDLLAOjpCn689wBwbnDFIo+XE\nbavQwkat7eay9QlhMjxWr4IkYO374aWqTsBtXHyd1DljAB9F8oSo4KGl2VBEE0usGOhQ/HgpEyJH\nE3u/E3CJmupGFwVmhS2jfmxzhptzdzlimBgn7OjT3BLukyVMmCw/4WvYlRYRUxpVlcmLAfSaSNx9\ndM5qThE715iNvj8NPwWyRM7v2Cx0+JfCf/mlyBcpPfCFXjskFP7TlC8+5UUecf2cZXuPO30ubpu5\nwAourc5mb44CfjpuqY8zbBLnGFWVGeSEle4Sb/MNPHKVAAUu85Sy5DF4w4KMW62SJoqAjopksIk7\nBvRcQ8RCh4/UV6ngQUdgnUX2MnMcicPsMckDbuCiSh0nLd3GOgtY6FDT3eS6YWymJkOcgCSgmwRy\nmjEUywoG1/gqjxnjEDtNjtfGyIphHDS56bxnyDSKcg4E8lGiiB8rHfaYYIL989r5Bk5ui/doYTUs\nUm0DOO4RDK+uINMH1uf5RHmJJnae9y6iIlLrurA4mzzlMkl1lLNuFIdep42Nkubjou0Zl8OP2GzP\n9RtebCQYpYuFJg5Es8bHvHzO9n3d9TO+7fy+4ZEV1vEIFfwU6WI+b0aOcUJZ9RrpSkJ8kHuDE2Ln\n0syjwk38piIF/DSxU8bLKYOss4BMjzfM77LNDHYMXTdTD+PtXxjDZM9LCJqKgzBZGjUPLmp0FAt3\nlTtctizTxMaj9jVOmjH2mcBaMuLSVd1NQh/lgHHCZLGO1Xl18mcM9gdd+52JPuQoT9yaPK9tamLH\nbOucJ9OMO4wmY6YDEuVJRFQCFIw6KtMBy/oVNrR58gSw0cZGiz0msdMiSB5VkNlnnAMm8GMcAMr4\nKOHFSQMdAdB5q/Ltc2D/5xbMww+muGW7Z4RC9DZR62m/79KLS6qTOhrre+vNONw1CgToYGFNXyBI\nDnM/cwgQErNYaJPoGdLYFLt9IpzGqTZICxs3eMi4dEDq7jgjJGliZ3J2u19PVUTBxHLyBgUC7KsT\nrLNg2ChNq5hQmJa2sQgdFt2rpImiIlLub7pbzDHZR7LmCaLrosH81hSstOl8iTzl/yxf/AfWb/L7\nWOhwd/XVc65vCV+/H63N+/XXGJaPsNBFEMFHidznV3fJxrE+zKLZIOgV+ja0T3mRCJnz2qGaZAQA\n0kTwUOYRV5EsRq3PT9e/zTFxlsQVlljhiDjL6ZvYAjVm2ELqqcyxwRgJnjy4jVuoYqPF49Rt4sIx\nmlkgqY7wiGtMyzsG+F2s0sCOosroukgZLytcYEg74eWvvYuG8dy2OgvoVEwuVutLHOpjrOmL7OsT\nFAggAC1sOPoDR09fRvBrJa6wzIu2Twj2gThvK7+AVWvTUm2sKkuMmBJMscst+R4dLCxZVjCjoCGS\nr4WQzSoeocoISR42b7LZnGeQU75hfZt9xnFT7Q/zbIyS4N7Jq0T6lC83xt3IfW7R7oPty3ip42CT\nWf7wnd9iWbtChggZIcyPdr+DvdckGjqmjJerPGY9v8R4cBeL2jYuboR4iY+x0cLS7TDLFhvMM9DK\nkKgbya+vOt8nR5AQeVZZ5DLPiHGCZhL4t9qvcsH11PhQmeC66QHv9b5KByu/YP0RM75Ng5vhm8Oq\nt7ALTYZIsYTx2SnpflzUeMw1BE3npuUzLvGUDeZ4P/8Gd1t3+JQXWeECHcxEOcNP4TyldsgYM951\nNpR5TJrCMXHDBqk5CQk5lD7/u4qbKXbZY5LvHf1N7m6+RpSM0dChS9hoI9Mj1Cny4fKb1HARUbK8\n5vmAGCkU3URKjbPfnmL+tRU+L7E9FgwwVA0XH/AaVdzcGf6Qld4SSzznM/UWg5zybvkNPEIVG22e\n6xfP78QGOcOMgiDrXOQ5fooIaGx253GKdT7gVcx0jdPziyfkCPICT9AFAR2BEn5SDHFj9C5nDBCR\n0sb/TVPqu1CMOzNR0dljEgn1HOxfw9Un00UJ9weEKWGIpzs3UEQTJnpkiH5pe85/3pT/A+s+Nxki\nxcULj3nYuo7aT+AZQJcEr7o/5EnzCh0stOoOarjYYI4pdqnjwCq0GeYYL2Vc1BDQjc1VHUHUtfPB\nmt4WkfschHEOkNUeKYb49YXfZZI9/EKBbWZwUyPoOWNBXmeldZGubOZ57jI/U77K37zxe2QJY0Lh\n20N/xB6TmOkQlPLMsMVzLgL6+ZTaYW0QEdJGJVQjRlqMYKdBQhsFoCAFaOBkij0izjSy0GNG2Kap\nGYmzzzsBM3qEZHWcJg5K+NgQ53BRO+czR0kzb9qgI1pQJQnZpOClwnMukmSEAkEDuk7AADR505j7\njcV7rQmmnNsE7Ya2X8ZLN2UnTxBz32O8pi8wqW3TxsoKS9zr3qGDBR9FznoDrHGBaX2Htm4j2Cvy\n+td/yFgnyWeVW7wgPuWVqZ+Sl4PYcl3OtChF/LwY/IhpdqhJLqYE41SmYDZGgGY/BfwI6DRtVgpO\nL6Mk8FImQ5Q/7X6bOCmquMkTNEBFFTvL2eucMEgDB0/aV5mTN7HqLTLKABMc0FQM+tyQcMIKFzhT\nBij1T+fTwg73zl4xUntijRJeMkS5xmO+EnwX1iQm+tCdGKecMsjD9g2sfXmnpds40WN4TRXMouGH\nbmLHJxW5LdzDTxE7TWSMiLOqS1we/ozvzv0Bh6UJMoQ5EWI0sbPTmebAMsLIlV2c1Nhsz5MmashI\ngoBJ6hC1nJHsjvBO++uGHHfg4VQb5AKr+Chy3Nefu7IJCZ15aQMBHY+zQlnzss8ENqHFDNs4qfP9\n0q8wwb7BE6n/Avf025TxYdKNKqoRjjghRoZIP1VqcKvzBHHQwEuJMFnylcg5M6ONFdUuckIMBw2S\njCCYNEqKn1ESpPRhxjkk0RljmCO8lKikjcaVp1zi16d+j1bWQQkv1aLv/3sT+Y9cHcxf6PHzXj+3\nTdlDlQgZA45i63KgTJDTQyyyxifqS3Qx0dNNCOi0nQac5jJPz1NBI32j/+dAoM/9ri6pSkew4KZK\nmAwms2FfOq3FaGPFIxks5vf5Cqb+bdwek5wySMBW4F73NtiM6pwpzx7T0t65ren4dIyH2nUjdabp\nnDKAS69jaShY6LDLFEeMMMtW394jIJkVqrqbT3ovMyAaLRJWpd0/wRsdfuvtBd7Tv4JPMvy8B/oE\nG915poVdbrs/RkXiHreZYYcfqd/ETpMSPprYOWWAURLnGm6WMNFOFhWZNhaSh2PMsIUJhapuBGe2\nmUa2qCxXr7DIGs+4TE1zMTa0h50Gb+19lzk2sAodzHGDFWGjxbR5h01tjqQ6yoy8zSR7fKi/gk8o\nUZKNQc168wJusX5e2jrBPqFQmuTTaVb1C3ySe6VfFNtmTVtkDWMoFyLfb+DI4qLGs2c3kFUVoW+T\nKjYCLJg32NDmWNcW+kWzLl72vc9keIecHmacfeasG2y0F2gqTp4Il8kTRDUZA9YcIQZ7Z4yaE5R1\nL13VTBUXSwPLuKmRJ4iAjoTK24VfNAZP1zKstRcZ4IwtZlnjAqJV48ON140ocMuHKBiHgDxBivg5\nIk6MU9JEqOPkYeMGQfJku2GuCMsMcsoHvMaEb5dGx80mc4xyiM3SxEeZWbYo42PJ9YwiPkNqwscS\nq6SEIeLmI65bH5InwK3xTzGJCllCrJxc5UU+Re8KtKsO3jt9nXQnSoqYcfIUjZ7JbN/b/qR1hVu+\nTznt69VDziN2EwucMcCgJQUq+PQSJhSaiq1vPYzwsH6T9fVL5wXGBQIEpDy+VhlvH0o6xQ7ZboRm\nPxyiI3DV9IgjhtlqzLPNDG2LlRVtiY8rrxGPJtjszXKJZzQFO12vzIkew+/PfWl7jor8hR4/7/Vz\n25RLePs+TiP9MyQfIws9soR4gSf8pP51Jh3b5824n1dF/aD1LbpYqPYtVQ+4wQpLRqCESeizHA4Z\nY51FnpzcJKuHuOO6yzu1r/cjp/V+44OJt4q/wiR757Y4t7nKPBus9RZ5cHgbWVSw0TKioIMyb4o/\n5TkXCYo5ptnhI+EV0p0IDZx0MRMgzwmDCOgE9TxOqc68sMHL8kfsM0GeIFWT67yl104TzSoyLByh\nYOJYjyMLCgFzgQPG+aj7KiIq9oxRkvlV6T02tAWK+Fnevc2j0nUUTKSJ8qT3AmXNQ9NiZYQkq90L\nBMZyZPQo6/oCHcHCj1d/iWl2GRUTfNv9FuvMc6YMUBOd1HFyxiBvTP7o3FkxzNE5TH6EJDfEB4xL\nBxwRx0+Blmg3TmJUCJHjYuAxQ64kOgKLrHFGlFWWuHPlA8aFfeSiTjtv57PSTa6Iy9A2NsEcQbyU\nOGGQx/pVXr30E2pdJ95+u8c3HT/AQYO2aGNITHGYmUTBxD7j6AgcCcNsM8tBe5xyLUBVdxOSc9Rx\n4MHQvUdJUJADaAgMCqeUJU+/bmueB22jMPZJ9wrPtEt4A3n+KPNrjHGA11pGRGOUBN/gx3i0MtqI\nxjFxxuyHFAgQ4wQzhvwSJcMRw5xiaLKLjlU2WGDGtM2fNP6LfvnoMyNqbaHPfAlj1g35I44h95Tx\nMdVPpo5xyHMucoFVyrqPEj5quMgQ5joPEYDrsU8NB5EcQXIpZD0B7JYWDZxcEx/1LaR5pvsHmTnb\nhuH57o8f13MXeWXsXYLkude7jUlSOBOi9JCYMB0YDT09C5edjwkvpLi78joeyuzk51l+eJO7lluc\nMYCKzAYLXDU/ZL10kV0mcVJnjUWWt25xIkZxU6VQDxAQ80x4dgyGhg5ZPUwVN9PmHaJCmo8Tb35p\ne85fFfni5+a+iOvbTHd3KSgBaiYnVd3NvHkdQdAZI8FabYkx1z5r+iL5TpAB+Ywx+YA0A7io0ugD\n0Q97o4zJh6z3FrkmP2K3MU2+E2TCv9sfVtkZ4hg7LdJalIruRhVlbgn3OSHGBVaNAVCf62sMRczn\n71/Ohshvhbjx8scIQFYxBnyjJDkiTpIR7nDvz5J4RHGpNXq6zKk4SFRIY9IVomKaPAGc1KngRUQ7\nD38YYJ1hJjggwSjtjhWvuUxPkFE1CUHUEdA5rgwT86Sw0CFCmhRxVEQm9X2en1zh1tAnbDJHsedn\nRt6mi7kfkzakHBHt/FZ6nUV6qsyctEmKmGHB09xYxA5Ptm8xM7GKIGtcYJV0L4pXLrFav0hNdrIk\nr2CTW+QIkSHCDNvsdqe4ZH5mYDaVeTymMmMc4qbKMlcp4jufsJvpklEiqCaJvBpkXjLi5Vk1jF8q\n0UVGQ+SMQXQElnhOgjGquBjnkFrPhSyonEoDBMiTOxlkPrbCT+5/i2vz9znWhpjzbRjhI6Yp5ENc\nDD7lWIuDCBU8RMjw/qdf56svvs29k1eJR/cYkM440keZFrb7mNQuOgKDnLDJPD0kBOASTzntDeKQ\nG3Sw0sTOmHaIQ6zzmKv4KZHPhYmGTinix9lqULW5cFHFRZ19bYIRMclWYx6PtYRTqgOw3ZlBKdlp\nWWVe9n5MC1u/IaVGvekibM/0c45mSvjO0aM5QsgopBngCo+p4D1HeraxIPTAITeQuhoNsx0zXSbY\nY5tZXNTO+xJb2PBQpomj3+7iYz2xxI3ReyQYY7s8x9e8b58nZLer8wyZk8hWhYFemsepW9wc/QRR\n1zgTBjCh0MbgKb9V+TY3PZ9Rx9FnXdd5XLnKtHOHpmRnkj1+mvwmr438hGbXSdXswk6TjBZhR7r0\npbgvnuhzX+i1Lwib/2m6L0b0BEPmY5yOGmMc8qLlUxo42cxfYJ8JtioL7DGJSesyYk0yLxtWIBc1\nmv1NZr80zay8jYUuC/I6XUyI9h4D/lOaipNUzdC0zupD5AmQ00MEpQIXhef0kOhg5k+Of4UoaQR0\n6g0XFTwIYFi4mjGkcJullx+TJ0QVN0FTnuzZ4Hm4waYY2uLnhLolVjBrXRxyg1HhEAUTdtGojtrR\nZ8jpYQ4bY5zqg6T1KI2ugwwRahUvm41FjhsjtC1WxoUDtJrMmHjIdm2ag8Q0TmeNQf0EK208VElr\nUSQ03mu+TinoZJVFOpgZlw/6MKYho3pINbjPB+vTRiVW5zKiokFP4EAfx00NOy2uiMtYafOtmT/i\nkvwUVZNoYqcuO3jafYFF5ypXrMt9vVKltB/CRovdzAzD5iMSjHBCDEHVUXUJFZknfRzkZZ6hYCap\njbCuzDNgOqPTM4MCT/LXKeGloTmw0uLweBq1ZzhsjPiyzGl7EEGBjeY8SWGErGQ4XbpYMMeaFPBz\n6dYDOh4TqmgioYySJUxpPch0cIsmdo67cURdw0uZFW2JpRcfs9ea5ErsPpWOl2OGKWtG2/fav7mE\nlTYV3OQJYdE6nGXjuLUqqyxhldv9i6JkyGeiQpJRhtQUJrqYQh0DIoXGfeUmAjrP8ld5qlzGprTR\nEJEdXWxCi8T2JCfEmLFs4XSVeMn7CYfdMVa7i1xhGZvWwmZtnNPtzHRo1e30NNlowW54GeSUGCl+\nlPhlEtrouWbc6VlpynYkVO4dvohMj1w7RJ4QXdWMTW9Rw0leCxIkT4RsP5gtslq8jO4TOeyNYe51\naf7UqIM6YhgNkV9wv4Wt1kHsgChrTI+uGyEaoU697qKDBR0DFXvLc59sL0ymHeXgwGApxzkhVR4x\nIuEdO3axzgET1MwO1JqJpm6no1u+tD3nr4pP+ee2KT/68Us8bl3DQ4UdYZoTYpw2Y+RODDbEVHST\ntDpAW7KxWZ4jTZQ8AZLqCEX8lPBx3XefA32cBKM8ObpmNJgIxunBJHdpqXaqPTdjzn2OtFE0SeCs\nO0Cu36oQJsdS/CmJ5pjBjWhfYZyDPuUtyLjdIIyV8dLs2im1/bR6NiYGdkAzdGfZ1KOrmunoFtZL\n8xyVRqhJLuMXRhjgsDpBWolyosbQdQFNEBFr4BJqjOhJZszbTLGL3VNDcnQwq20kVNaaS/hdRg/c\nRedzfKNZYlKKRHuMFDGeqC8wKiYMGps1R8iaP2cRt7FS6AQ4WJ6noTupSgbASF5oGbhOUcds6qJa\nBNqKjWd7N0i0x9hnnCGOWdausM4CR8Wx/glbR9FNnDFAGwsFguxrE4QnTjn651MMRxJs5pbY/N5l\nqkUvUWuaC8Iam8yR0aMMccwB4xR1PzExRUexsMkckqwxbd1hMJjkiBGGTCneXfsmmVyMA3EcG20y\n3Qin+iBO6ghtgTHbIansMLLWI02EzdocY/ohTc2BmxqNngOnp4xNMiLY3QWJoubnw8xrvGr9gAHh\nlCZ2XhI/oY2VedsGH7/1JrpgNJW4qFHTXSz8DaPqPtWNs9+boCNaGA4dIOs90u0IW+osuiby7s++\nxXEv3k/wnfHh2pvUcfH0xJBDPku8yBX3MmcM8HLwfRZNqwgWDSstytkAGSHC0Mwhmiby+PQ2XluZ\nD8uv4TLXiMoZ/rjwXQbEM1TRCO6U8ZJQxnA6a0i6SqXrpWD1ssckJwyBT6WrGSyUe+3bSHKPnmqU\nDpvibfa0SQSrblSFSXscqcM8L13CLjZYbl3hiDgaIjk9BC0d2dPmVBnCJrd4/VffwU4TBRMimuHJ\nD+nUVQf3Kneo4DFSuprMZacR51Z047Vd3UxUThOy5rgxfg+r1sbprqJ6dJ6vXKdnkbgSf0jibAKp\nq+F2lWkIDtxS9Uvbc/7aaMqCIMQFQfhAEIR1QRDWBEH4nf7zfkEQ3hUEYUcQhJ8KguD9c3/mH/Sb\nXbcEQfh/FYVmvrlC1WpceV0mY2JtdbQQ6z221FlEuceAdEqnZKFZdpAjhKjoDOtH7K/Pc3Bvmvvc\n4uC9eVxUeT3+EwY5o42Fx2s3cQgNRr0J5uUNivhJPZpgnk3qOR9l3YuFDklG2CpcwGMvkdKHaKo2\ntkvz/fLMJnvKJOgYg8L8CIJZY7s7wzbTZNUwP9r4FbbWLvLpszeQhB7XfI+4m36NouZnh2lm2CLm\nOWLKtItPKnFdfIjWkShZPAYMRvTxrz77LTaYw6kYkkjxOGxY0uwWUqkRRkmy/ugKExwwSpJB2ylh\ncqiShK6JrLPIjLRNmAwWunioIKo6M5Ztxq9ssF+ZMqrtSwa4/kn7CuqpDZkeTq2BzdzEPlZixHpI\nglE2mWNC3Ddwk8F7NDQHNqWN1dJG1SRG++CoXGkAgNt/5wM8VHAEy0x/Z4VJ/w7poxh3uYOuGWGD\nD9SvkCGCXzAupwt2A66eagyRYAQNiWrTjYKJy4sPWHzhMWrTTLPnoCAGaAh2KroH2dVlX5ggFMhg\nEduoyNx0fkZVMGSXQ30Up1ynmI6QFqK88y9/mTEOyYphbkfu0sbGTj8ccsQwAKuti4S+dsyQ9RhB\n11AEE4fCGCXdy2pricb/5mdRXsOidUhqozw6u8Md6z2KaoD1k8u88foPqOb9WPqWNs/FPG0smD2G\nk8OrlPu361X++K2/xX3tNkXVz9P6C1wKLxMSsjxvX8bdrTEdXudJ4haXvU/o6GasahuPt8I203Qx\nk2KIKGdMmXaM5mrBw8Yjo+asqdvREbDXOzRlOxvMMWY9IE6KMemQjf/5MjP2bco5Q56r9jv0yrKH\nOd8mWk/C3FOo4iHx1gx7wiTxWIJRPUHYkuFR+jYpJc57/+YbuKlQx4mMShM7kl0l4kr7k1LBAAAg\nAElEQVQjoZJSY1RENweM08GCR6hQ7AZoNoy0ZEN3sM8495VbPDi6zWArgzDVoYmNGi5mwuvYzC22\nFaOD0kLny9jngL9GmrIgCFEgquv6M0EQnMAy8MvAbwF5Xdf/136ttk/X9b8vCMI88AfANSAG/AyY\n1nVd+3PvqYvJDneGP8RCh+fVy8Tcx/R6MqflYWxiE8UlctP0mQHjKS4S8qcxdxTsljoaEtZ+Xt9F\nlaeHN/COZXEpdbymMnv1GV5xvs875W/gtpepn/mYGVnj2eotRi5sY9a6DItHPClfYcB5giRrOLU6\nWltiuXmFaOCMVtnFlGeD03Ych7VGoRXghuMztrVZrEqHkCVDr4/n1JAo4qNc8eFxVrG0uhQsPuKm\nI3REEvkJJgPbSIJKPe+mEzThpmoQxvaHyVqjDMUSpLsDXDI/48P060QjKYJCnpQyRDEXYciT4DQf\n58LI0/PKnXfT38DtLjJkT9FtWjktxFE8MGvdpNuxEnalyeshWoKVCBl2VhfwzudJVkYZ9R0QFdI8\nzV9j3LtLWM5S6AUwy138FLlbvYNVULB0u5yeDiJYdcandqht+5ia2eSgM47XUsZCh+P6CCO2Q3Ji\nEKfQ4KQyxLAriUVss9mdJ9gtIVs69ASZ/Z1ZLsSfkXMFiJDhLB9HlUUC3ixDpEgqI0yZdqnj5FHh\nBt5iFedYBa9sUOXSROkUrLjcVbolO3fCH7HRWsRjLiFIOhktQqEYpnzo49KlZUomD+RlLgUfk9XD\nZNUI0/I2K42LRB1pam03A9ZTWqoNJEhkxwmHz4iS6Wu1PYqKH7epSr3qYtR9yHZnhrCQJWOKsCis\nsXp6ieuR+5ilLg9Kt2nIdqZcOwYLYt2NtKAQ0vMcd4dIvDuHJdZEkFTM4w1C1jx2uUkqG8eTqVGf\ns2OXGqiqhCmvo1oE4r4kRd2PjIIqyKSTQ1ho03bYcPlLZJKDXBpbpoeMhEqj6+BEiRG051EUE92e\nGa1tJuZPkmiMMe9Yx4QCwE57mqg1jYWOwXGpTuJz5+l0rNgsDWq6h3FhnyouktlxFI9ESClSkZxc\ntz3kg8ZrDJpPcZsMj/4IR0io3C2+gt+fpd514jA18AtGyORzhslOc5q4/fhcI9cRaGk2ZK1H530H\n069tsCtPEihXWPFf+1I05ff1W1/otV8R7v/l1pR1XU/ruv6s/3Ud2MTYbL8N/H7/Zb+PsVED/BLw\nr3VdV3RdTwB7wPV/930tZ11OG0PIKASdWdKdKIKgY3PWiPpPkDo6+9oEG605NFEn1whxcDBFEwer\nj66y2rpASfey1lhkfuw5lkaXjBI2TO7ONB8cvc5w/Rh5RyQwnEHryLADpnoPDZEsISa9u6T1AapN\nLxXVw6kwwITtgKPvzTDgO6YpOpDtXbximeJ2lF2mKegBzKYOd1OvstWbpYmdvc4kNrWN01En2wuh\nOWHUlKCieHl8cAunt8LT2mVyzQglu5ceMqncCMfE0SYEcKm49RpOU93QrcNn2LQWZ61BrKY2Q/4E\nuioyObTF+geXOWiO86h1HUnqUqu4OaqOclaNMRVfx2eqUBL8lG1GdFdFQtR1LGoX62wdn1Rkzr9B\nthlhvXCJTsdKljAb3Xmasp3TTow8AVzmBoOuY061Aa5fuEdwPE0hHaXutXN0NorPYnQJNrFzyfmE\nA2GMuupiNXkJtSGTzIzxYP1l7HqTDEGmTdscJCeZm1+hWPFjpW0Uj7ZtKIikzsYot73ETCnWtEWD\nmVw0o8QkzHKHTNfw67Y7NgL+PAFTAdGtsNpbYmPjEgfCmAHGafso/2EYy1Cbw94orZaDUzFMCT8S\nGgE5z3Z7lq7ZzFFjFLO1w9PMVVqSjW7bQttsIVEa51Af47A+hp0mVc1NW7MSdZ9RIIDPYgSZ6i0H\ny9mbFLsBJMnQe8OONAFzjrXDSzx9fIv4QpJay82z1hIuucbUL64QvZhkfmmFIecJXcmMnyJmewfL\nhSZXpUc0VTt6Q8AVLSKYVcp4OcsNEtQLJEujeAYLeOMFJE+HetuF2d8iq4ew6m2eb1+j2zMKgueF\nDQQdXGIDnz/HVmEBsamfJ1hteotWx0YXM48/us39wi2yfzpAI+niaHWC3eoUbqHCxwdf5cnZDSzh\nFroGPadA+nSYfX2C5oEPq6lNQh3FRQ0TXdS8iYv+ZdSehNAUcNBga3uereMlttQZUgwhWjRSmRFq\nbePETlWg1bMzIicxvdzkYfYO3YKD3pfHuP/rqSn3q1AuAw+AiK7rmf63MnCOcxrkL3ZUpTA28b+w\n2ooD3WLUmHvECpcsz9ivT+C1lpE0Fb8zT0u3IcoaTm+dIUeKK3MP+gxjOz5rCU2QsDuaxodsx0TI\nnqODmVES+OM5LEMtXFNFyichNhtzyDfbhJwZfGIJCZUEIzRLbrBrbJdnmbFtcWaKcOU7n7Ly5IZR\np1Mzc++ffAXPxRyp41HsQpOy6OWFoYdY5C4neozycpiQlCMiZyg+jeGixkF7nI1nVwiNneKQGgy5\nj7HaG5yWh4zUXCjNxg+usHU8Tz4Z5/7xqxycGF2Eqb0piu0gXluJ490pQtYsJneHvBTkyqv3qfVc\nuKUKzbwDZJ3Gjgcx0MVGm6Ati8PUoN5zcsIQOTWELgh8UHwNt1wFBJ4e3MTiaGO3NpAaGjH5BL+5\nQFHzM2PZRERn3GrU0b8Y+pCkPsK4dMBQ9JBrkQcoA8YQL12Isvo71zljwKCuyTWs/iaaGzSHyPzC\nM07enqR634A3qf+dncPaKPnCwHmztnOoRD0dQnsq0z208+gPXyK1MUmOEPNTKyzZn1LRPEyZdxgh\nyYDl1Djh37tKzyoyKJ8w9cIqV8VlfGqJ8maI6K8dc3ngMdWnEaZsOwTaFaKkSalDPD2+zlk3SiET\nZMBxwm55El84bzSpawP0VIkF3xqKYCLuTKEi4RXLpOtRMkSoqm6Ou3FyiUEki4Y3nONroz/ic3Rl\nx2xGNUv4RzKMXt3iow9fJ12N0PggiCIZXJHk6hwN3YGIhiqIbDONKpopq140QWRETiI7epw0Y4w5\nDrnJZ1SOI6yzQMiXRcuYKHV9xEwndP8vB/VUELdQ5VHxGvHYAWXZQ9lsBEWSpxOErBnquhNdE7gQ\neo6uiob1THDT0mxsZWf56is/ZiSQIPbdQ4QRFc+FLI0HIRK9UeLj+8wNrDBCApepRgcLr078lPXN\nqxDskW1E0ATDLfP0ZzfoSBYeNa7hlGukkyNsvXcJ10wF0dtG7OgkV2YJSHms4QayqBhymCVI8V9E\nWFUvELOeMhNbIxI8wSXU/2O2qH/v+quiKX/hv0Ffuvhj4L/Vdb0mCH92utd1XRcE4d+ng/w/v/cH\n/yOn7zRpJ100f3uUwsJ3MR+rlKYDrG9dwjteYNR/QPLDKTxf2eW4G6djtpAqDzF19Tm6JpJNDRH3\nJHB66xQXLRTeHqD+DReVQz+KaMLcUQmNphDDHVwdhWozyObZIuZAi8rdMLHXDnH6G5z883Gcv1Fm\npXWJes3F6tMrzN55zrEWp2eW8P6NHJKmYjpTcA8ZzdWfPn4Ds6vN0Mw+wq0zkvoIA8IpuHXWGwu4\ntTqYuji0Bj3JANo/fPoSU/NrHDbGKa1GcL5coFVzoJp1HL4K1YwbtSNjtjVw2KsUlAAeT45HiTu4\nAgV8UoUH7RvYpTa5bBR7ss787AZlnxeb3GKTWXolM8O+JOZWD7+1iCpLHFYnmArtcFiboH1kZyy2\nQ1Oz4rYXKMfcHGtD5P5giKu/cY8PD9/AFq6iayLj1kOe6ZdRkTg1DZBMTnOpsYxpVuH0szixOyec\n/vcyHcWC2pE4eDzHzMurHJ+N0uy4sClNxGmFwbkEDpoM/P4BbRy4Lx5zlhkm4E8jSDq9tIznKyUG\nrUekR4PYzSW2Vpe4duEu9zOvMBza5+NnX2V+6Tm724t0YvvEbh9RrznYrc9QVALsPl8i+PIp41e2\nqDWcFDQ/oauG97sj29ARiNRyeONl1k4v8cLgY47acQaFNM2uDZuphVeoYPZ22a9OEHTkSVVH8PpK\nuIQagsWoGisQQOma8IznGZESJLtjPDm8yuXRp7gsFdY2ruIeyqMrIoOBYxyXK5gsXSa++Zii5qdS\n9jF1YQWlbmbIlaLYClDNhrg2cpcsIT4uvYTUhaA1z6xzGw2BA8YxexpoRQsZ1UPQmSNszXJQH2fo\n7+3TqLto4ED5sZPDuSncFwpkN4ZojFRwOUvsNKeJ2tOEzAV221M0mi4WfKvUOk7k+wLiHYWf/fE3\nYRK80xmUioV218rMGwaz20oHN1X2elPk/+EQlt+o8VH7TWKze0ioFIthgo4zQCD6YgK9LVLPedgo\nXcQdy9P0WhnkhGIjRL4eBZuOTM/gv5iNwXRJ8TP229sgweF7R7Q+eUSz4jy/kH0Z6y+DXvxF1hfy\nKQuCYAJ+CLyt6/o/7D+3Bbyq63paEIQB4ANd12cFQfj7ALqu/y/9170D/E+6rj/4c++n+47SWKMN\nimdhYuEkh+vzhBaOMVs60BVoyVbIi/SsEpV/HMLzt3NoFpl604XDX8EqdwnYs+yk5hmKJlGaVtIb\ncW7c/IgHH79K5KUE+dQA4wPb1Doeam03QkHA5O4YgCIP+DsVbHKT/dI4/sEigqrRzjsID54i6hrp\nRgwhDVpEx+2s4BPKJOpjTFr2WP7oJr47GWyWFrKo0Ch60K0qZrkHsk63aKfWctHdcjD96gr727NY\nIm3cYpmeKGO1NXBY6uSrYWY8W8goPEtfxRMoopzZyJai+B1Z1GEBSVbROwKoAkPOYw72ZgjGMqQ3\nY7RcTiLBY1qSlXbNwdjgLs2Ki7D3jHLXS6kYpFrzsTD5lGrbTVn0orQsWGwt5I5GPeVCVcwMXkxw\nnBgFRYSOxuDCMfnUAI6hEmEhx8FHM7gvlXC6qnQVC03NBiYo3Q/hjteodT0Ini7eQoXB2WOquAnp\nOU60GIOmUx799GVee/NHPDm9RuVBGHGsi8ncwz+RRpFMdBoWbnge8GT7OqVCiOnbKxyvjdNU3eBU\nCcdO0EUQVAjacpw1YoiSStia4agSZ9CSplALEXGdcNwYIx5IGC6Wz67hi2R5Y+xtDnrjCLLOcSOO\nqkvUFTfT9m22thdR90xc/M4Dlj99CdcLWSyKgt+RI3E6idjQ6IpWbK4mjQ0PS68/ZOWjG5iG29j9\nVXqbJr514/tYhA4/aH2LQKfE3uk00dkU7baV2sMgrsUyukPFLxU5zo8w4jskVx3AF86ReRDHvFBH\nMqtUtsIMLibwSUXShQEuB57Qxsr97Zfxj2coPw0SvXBK4oMZ5r7xhEI2hCtSIXM8hKLKyJKKkjRj\nm6/T3HDRG5KQn2s4v1HAIRuc8aCYR0Wiq5t5dnQNydtCUnXkto7FXadW8hF05BjwnVAWPJTrfgRV\nw2pvc5IaxjVYptO1YFI0BFOPuOuYs94AuXcGufPNDxnglGNhmCNtmAlxn0fpW3h8eSRVo6G4GXEf\ncLYeJxjMQljDKrTZ2lzAFarS8woIPQFTTcUbLnBcHabpCXwpmvKf6l8siPJLwk//cmvKgnEk/l1g\n4/MNub/eAn6z//VvAt//c8//miAIZkEQxoApjIbXv7AUt0hTsyM5VE4zY8xdXqZ0FkJSVM6ORrFo\nHXQ3DHuS2P7rMppdRhElPIMFeh/Yaey6QRdwB0uk1kaoqE6mbqyyUlpi4Moh9ZLTmOBLdspdN353\nFvNQg8noNqPhfdolJ4fPZjj44SSKZkNUNXpnZopvR2n17Oy8dZFexUS97KGtWlEFmRMlRsyRYnnr\nJsHbp4xb90nno9RqPgrLUez2FqWaF10TKfzjKFfjnyGH2xykp1BzJpAVFJPIkC9JXXOCJhJzp3h4\n9CLr+QtUj4MU6gEKshetLpPPDOLQGuQfxNF6Eha5zV5tAt9AHpO5Q+SFFI5ogUrPTfOJh9nYGi3B\nhsdb5EwfILE8iyKamZpawya0SO7NUDkL4rMVKFc9FP5RBNdIhU7dhq4J+F15FN2CdaxBLjuIxdWi\nWXdSaAXpXdBJ74wwLB7hsxQJ2vJ0y2bUQytNyYbTV2YmtEnB72Xr7iJ2mqy35gmSZ78+gf+VEx7X\nryG5uzDaI75wQOfQTk+SKWX9NBsuesgMTx0QuH7Kzk+XaKcdSOUevoEsfmsBWVexmlvs7s/jNZUI\nSTk2/8VlUCXSvTCDoWM81goIOnu/t8BJJ8bMzWfIka5hjzu18viTW/QwMWBN092ysfZPLyGOdrB/\nvcRWYZ7JOyvUtkIUimFqmht7sEb7XzvxhMo0FSf2qyXWfvcqiy89ZHJsg3rCh7mhoAoSVVy4LVX2\n0rM4ohWsehuH1GTmlRU8gQIWU4fD/30el7dKx2Slshvg9GAU580i3bqN6pkfLdCj2PSynrpEre3D\nTxERFb+3QPqfjqGMCSQ2Zwi+cYyIhinUod52Ut/2Eho5Q/R10MMC1WwA+6USkYETuN7FLHdRNZmT\nSpyP/96b2LUmJkHBbS2jpFyYHArWUAOX3KDdcBLxn7HZmqOrmslmowSdBY7/1hS6ScYqtWk/NWQ/\nv6tApe2h3bUy/Y11ZKGHJhiI3PzzQZK9EayuOrnDESq1INUnQda+f41m0oEe1RFFlefJa/jnslRr\nPmrvhil+b5BMOs7O/iJoX1647a+KpvxF3BcvAh8DK/yZDPEPMDbafwsMAwngV3VdL/f/zP8A/B2g\nhyF3/OTfeU99Wn2GWeiyeTaP46SL72qGctmP01slXwihdM0GvFCDiCtNoR0iFE5Tb7qpPgqixzUs\nSpdOw07s4h5NxU5PMRF2p9l/cAHfTIbSYQTR3EVqgf/KCZ5ulZ4ogwiJnRnQFbyxCo0dN74rGdLv\njuG7mab+Jz70r/ewm1rIpi6iSaXZtuNy1JDMPax6h1w2SltxYPLWsVkNO1RLsVFbDWIbqxBy5Eju\nzxCf3OO0FMMdKlF6OsDUtVXS2Thmd4Ny6f+m7j1jZcvS87xn59q7cq46dXK85+bb6XaYyAk9MyRH\nQ4miQIKWLAsgZVuGAcHhhwSbDhAhGLJgUBZtGiBNkPJwOIQsjqQJ1MywOaHDdPftm8M59+TKOeyq\n2nn7xxkJNA3DGExTbX3A+rEXam0s1I8Xq1a93/NmyXtdpAWb+rfXSb7SYvwv82Q+18TpaRCDoKZh\nPkqAAcr1Oa4rkV7qMnqzgHLFRPyOgv7JEf2vldEuW6S2WqwKRxwF68yGMebDKJIcsLBywvEfX0Be\ntFgon+HGJKRZiClEGX6vTOJDbca30jBV0G6MUDwPW1TQ43Mm+3lKV44RBZ+8cO6HPpxuYKgzGm+v\nUb5yQiAKtP7BMtm/XWc+iGJbCtmNNqIFfijTPVogtASMyhCrEScQZSLRMbmVFs39ZUJN4NLie7SE\nIiltyP6XrpD+RJv+vSJhHArPntFpFCkXq1ijGKOzHMLCHK8aY/nqPo1HFSLrM9yZgqI5JJQxiuLS\n6CziH0b46Ze/zJ69jTWLcjTaQhJ9hI6PfnlMRuvjuTKOo9GrlvFPZErPnyGnbNrfXUK45OCaGn5b\nZef6XQ6/tUO5WMPcMYgLE05PN/jC6pcoaG1+u/43kHSXTLrH2T/bhnZA6RfO6J+kWdo84/jhFmHB\nI7RllisHnL67g7g5J6hpLF0/YDDJQCAiiB62q/Hh7HcIkBgEaZ6MdojELUb1LH4tAn8H+PtgSEOM\n7QmS4jP4QQF1d0agSFiNGMlyH1WzaN1bQS7OWFt+Sn+SZSu+R5IR97zLzM0Ygy+X0P7iiGR8xODr\nBcRnPHKZNs2jZbTlIfP7GXACQltGkDyEUwg2ZGLPdDGfZBESNvHihEW/xsX0Pb7S+zzuQQwjN2au\n6cRSY/Jqh868iBGbYHsaefHc2tlzcozuZcleaBONjKkebWKEY8y4QTiJwI74vpyUvxh+4f/7g8DP\nC//s/98n5TAMvxeGoRiG4fUwDG/8cHw9DMN+GIafDMNwOwzDT/9rQf7hmr/3w2TXC39WkP91nX5v\nk4PONsVyEzMS4+T3LiBLLq1bJRKxEfH4mHSkh9CFxuM1ysUqpplgdLvA8of3kNshscoQZBju5yjq\nLaQDgbZZJH29jjXT4VseMd1E3TJxbI2JGOfweIfT9iqBK6MXLRxTxT4waH1/hdKLxywnjxF+ykbT\nLWZnOn5NJaWN8G0VYSpS//oq9cYKhWId9yzC7GEO826a3lGJiGdTuHiGPY8ykyMggKS7UBUZ3i1R\nunFMu1fErMfpvbmIUZuhF6aMzBTGtTGTTgrxRYdAE5g6CUIBTNeAbVAvTwnlECnwGTxYgBCEmUzk\ncyOG7+VIfKKDgoVrK3S8AmrgYlYzREoTVlae0nlQRkiGhDOBnplFw0Yz5gSORObl8y7BlZsHEPeJ\n6HMCX8Z7M8q8ZyBNHdr3y9S+uEWBNhYRAgQ6jTLZG1X6xzm63yyj/eKUeStOPDsiv9akc2uZZnWR\nzrcXSaV6CISIesDCM4fQA7loY47jeJZMKIEm29hnCdxQQbrmMp4mCQsigiQgT0N0yyYUBUZ7OVAC\nSrkGyaUO7WqRUJeYjg2KyRZCCLVvbdKqLaCELtLmOTckoY1pm0VohGQrDfKrTcaNLP1WgZGfZDRI\nc3XnbYQFFyHq0TMzuOsinqMghCGRzRFPfv867pbMaXMdVbM5+eIOytTGR8FFJQglQkvECyW0rSnC\nZogvSBgbJgffuIQ/kFgpHqOnTaoP1ym9fEwsOSG0ZU7/aAezncLxZBxLR5M9+CFX+XH7Im5TR5Fd\nIsYcWbIpfOOE9NUGlm6gyB6tf7mIvOgwbySYNVJIlsvg14vYfoTMUgsVj/ZxGVl3z3+JIjBs5VDM\nAO2zY9yeQb+Tx12MoMen1L60Tm6nyvw0iRrMiF6cIC75pHc75P5yHfnCBHdPBymkvF7DNjWKiTqu\nq+LcTiJVHBK5IcV8HXsc4eDWBWKREeOTLOaDNHuvX2HsJRjeK7Fw7YT+HxY5eXuX+GIXLeWSSfVh\n9v6J3b9Nn7IgCH9BEITfEATh9wRB+NSPsvYD6+izQoP5zGA2jBKcKqS/UMcLJLRtC7OZRdMtxJhH\n9kqLhRcOmMzj2OMIDKHbKaKsT5lPdeiCuj7ltLXKbEHD7sZQbA/vlor2N0wmoyTlaJ0gEOg3s/BU\nQIvPEYIAIYB0uUviJ1tErg6ZCwZ3vnQTpxdj+q0sQlTk0s4dGo0KK8VD2g8qJD/aJZyHHNy5ghDz\noQrRiwMSuRHdaRZb1UgtdOi8voJe6eO4KmEMQkuk+ZurTGppIhWT1CsN0js9GtUKs3aKUrGKf0cn\nFGHcSSNnLMxGmuRiDwDnqUHEs1FTDqkLdRTVQtBdNMsld62FZLikdzoM//MSJbnBsJVBMWysepL2\npMh0nkJWbSJLczw/gjL2mdlRrHYU31YYtDKc/GAbFInx/5zHMyD2qT6pSh9pOSBd7qHctOmRwQhn\nTB4W8I5VzNMM9uMoys0p9jCKULRxZYnmn6yx/twDItkpyU+2GHw/T+aZOoEgMJ6lSH6oybyVQo/O\n0VcniBEHRXCJFCYcfWuX6PIALAHh9z0U1WIwylBZP6Hx5jpyaUbQl0AQGLUyuCcR1tefoMjueWiq\nAPquidvWsH0V+3YMndk5JKrSRN6Z0fzGKvO4RqrUQYtZhJ6ILwjc+vorBD2N5v4Ks9/OkSm1uVB8\nSD7RJBUZkf0rNbSZjXjZpf/VEqyC29BRlHNOhvOvoqiyR2N/FXV5TiRp0nlzkdFhGemZGYILR6fb\nzBpJJNGl9WAZuxcHO4RYQDw7IhvvoGoW42oaj3MusesqeJZKt1pCi88oXK7R6RQw6xmEfsjkVzMQ\nlYmmJhS26ogND09R4BccZhMDOy6C7kEg0np3FSYi7VmRoKPQvreAP1IQLZ/AVcAKmc7jqB+x6HUK\naJEZ6q6N+d0ooRJiylFGb+YpZNvEVsYkVnvUv79BYIlMiOP5ErmPnILsY80MGg/XcR5HoSdhEcFt\naEQ2xwjH0K+XkHAYT9MYnx8hlDzMcQJT0HHnKuUrx++b5vzbvL4Iw/APwzD8JeBvAn/lR1n7gYmy\nuDVH1FxG4wz5z52SVvuMnpaY3c/ifUqhXy3TfrRK+91V6k/XyejnvlQhF1Is1hAMn9lxCk7BtiPn\nQisExCpDxkGC1Me6RCI2YTzkqLdGXDdxbiXQXx7hOTJC0ULPTtDFGdNWhmh8yuj7BagIiI2QnZ+5\nTWGzzlvvfYTpPMVwmkVc9LAHGsmVAenNOhuXH5L4TAvHMuh/pYgseQS+iLmfRlh2WEjXqf/jDYIz\nFeNyH26ALHoocYec0iGIg3UcJ7wrEAbABYhmJ3hdA7ubRMnPGY3zKJUxNAW04pRktsfwsIQ9jDGv\npeg7SRKxIeNmhgCRyq8d4KAxFXXU0hS/pjLtxBHEELerI80D7JMo+3evMPWjLG8dYHkabiMGEZHi\n9WOu/5dv4rRjmI9zdN5cwenoEA+ILvRRcTEnCeLbHUiIBDkPLoAWtUheamK/Faf/oMLmx+4xsDPY\n+wlcUwMXRr0kghQw/i8KTFpphKlH48kaViOJ924Mx1OQdQfhWyDJPq4dofR3z3DqOk5Vw7RjoAnY\nTQOx6lN9uIWanWE8O6QzK2CkZswHUSa/m2fuR1G3pnhuBJow4ryLszPNU8nU2PjsPUbdNONxgnY3\nx+QP87gHBvxJSO5GleBdCflnp3TvLbF3vEP/3QJeINN7WsGOawRnGpFPjBFSPvqHB1iBhoxH6i83\nkBSf4sYZ84nOXIojZDxCBfz7BqpmEclMEJ4K6FsmYmFOstxm7UOPEA0Y/yCHovioik1s9fz7tong\nPYgSWRkTfkPBC2RG0xTr5ae4Iw314hzzaoKVVx/TH+VpfHmVzEebhEOFuGrinhlMaynmj6M4skbi\nWotAFdGNGdtX7oMH8Y0BkfSMjdUHXHjpNrule3imgjfQCdMhidQAUZUIRRHDscHP1nwAACAASURB\nVHEvgiz49O6UGf9BnuWPPEHPzwjdc544ssBK8ZhBPQftkAsfvwMz6D+s4EY1rMMU8qsz/JmKcXHI\npJFAEH209BixJhFLjEmkhrQ6hfdNc35cS5wgCL8pCEJLEIR7f2b+Mz/sXt7/YSPdn66/C/yjH2Wf\nH5goKxGXWHRCeEvBruq05iWEpI8Q81h8fIBvSSAFKAkLJI/j7+xgvRtDL45otpeZN5PEL/bgFZd5\nPYXTjZBLduh/dQHnMErnK4uMahn4Y4lkdsisG0Pc9ElpI/T4nPXyAZ13F9m7dR0h4tM9LUMepLUZ\n4YrA6ckq/UmaoH9uUWs/LePd1yiVmnRvLTD44yLdQZGoN8d5TwcbnH+VxKoneHb3TTR5zunrmyR+\nrk3pk8fM3smgr4/wRgrjf1rg4GSHbqtI4blToq/2QQRZsiAUkAtTjFKfTLpHotxBdAPkm3NG/TS9\nVo74Uh91cYocsfCGUTqzPIIYMp4k6dUK9IMM5UIdf65irI3wWhqJUhchbmEO42jVOSy5TF9Lcljf\nxp3qqJkZWnbKuJOiF2YRmy5izGXppT2ipQFyO2R455wb4p35uI4GNZA9n1i0x+QghzmMk95sE9/o\n0LJL9O+ViF/qoAgu0uU5/n2d6TdzRH+1RygHBDEJY72PeObCsksoiAh+QPK/azJ5lIIzgdYfLVO4\nXsVPaAznaQobVZK7fcSXfPSUiaR5zFppBm+UGRyXmd9Pkf5rDWILXbLugPWVx0ReNkkwpv80h1CT\n0AKbo8YGwUkE/9CAuQrXPWLbE9RfmuNZKupnJ/hv6JB00WIOtmQwn0RhFiIci+SvnDHfTxFZH2FN\nDFT53G/rnBj0HpTISH0K+SaJzS6hJsEjgcQzXZKXe1j/OE38I12CQCJiWLS+uIYz1AlORKI7A9q9\nEuPjLObj7PnpG4Xssy3mR2mSf63F+Ad5wlCgubeCEDooePBEwA400uGA7C+cEbgi7MGklkFdmyI0\nRRY/dIJvwaSeJ1BDfE/ipLYOOniNCNNxjP3HF2kNytx791lEwyG53iI80ajdWsP4WB/ZdgkMKJVr\njJwEpZeOiX2uz9nXtpmdJVAF7zzt+/UCB7cvYSxPUBctakfLKNenMITi7jHeicRa7inC1wImgwQR\nHAx5jhwElJ85Yni7wNhMkcn03zfNeR+uL34L+MyfnhAEQeJcdD8DXAR+XhCEXeG8/j7njrXbP8o+\nPzBRtvcTzNpJ1KLFuJbHdRQkyUXLTKl3lslsNmAioizMECMeUs4laGrMpkmM7IjdrdvMajGieZNU\nqs3C8tn5SWoaIuZ9oq/2EEYBuZ+qo/tz+r9RZnl3j8adZcynKZ7+k8tEF8Ys3thHn0+JZYdkLjQQ\ng5BEoUU+32Z+P0U4FRBsAVEJyb56htlNIhQ8xEKIGp8TxkMcUcf4wgDpokW21OQHj1/EPowSuzbA\nKJo0D5aRVmw0z0EqBEQ/PaRQbhCbT5FUH/N7eQbDLKrlMnkng/fVKPZZjFazhDuN4NTiGN6cfKZF\nIjZmVk8Qi42I5UaEmse4lkEKPUqxJnphgm8rqJKD9SSGorpgSCwUzwi/HIG5gPOiTN5tI17y2M4+\nRom6+J5CYqGHojmcfvECiZcH+N+GqR/F7CSZ+QbUQvK08dZ0hGmIqPro8TlzIUph+wzFCwgXYfIH\nWaKRKdndOl5Xx5IU/LmOsOWi7cywmzHShT7awEKUPOS8i744I65OCJAYfrWA6+pgBejPmxiZCYYy\nwjc1esd5QgEiio1kWKSTA1RpjrQ1RTB9ki830dU55q081a8vc1pbxUuAho2U9kmu9Xj8nRsEpzrK\n2ozl5/dB84lEphRLVXLLDWZODOe1BOF6SLw4YPJekuzLVSqlU9LbddIvN+m8sUTmUoP5GxnKpRq4\nAgIhqysHqAsmh6c71J+uY56mULQZZMGSFYR4QPQ/6pFO9BFH4FkqeGAkTLTnpiysnDGf6zg1g6Vr\nT4lhIuMRREBQfBLymNVXHjP739JUdo6Ib4yYTuKoH53ROlzBycr0nywQVU2yP1dDWxvhWQrZtRa9\nfg5JdIlYJoZrIQceYsZj7WMPmRxlCBsqWm6KXTXIX60SzGTG7Swac1ae28f8nTyl3RMiqSmjRpbR\nXglFdnFtDfXmiHAinrd0exJ+SYKZgLAfIhQdvK6MgEBsc0BJbaJsuZyNVzD+6pBIxCK6PqC1v4w9\n1plZMcKywLwVY2pF3zfN+XFFOQzD7wKDPzP9AvA0DMPjMAxd4Pc472r+W8AngJ8VBOGXf5R9fnDo\nzmef4Lka3onGxrP30QQHLT4FV8TrnDNgN5+7j/1mDG6rFHbrsAALFw/pPlxkOM8gx23mlsbISjMP\ndMxZjPhPd/GPVQrZFurKnCANZhAn+59VGQVJklfbeO/orP/cQ6aNFO1Bgckgy/Q0gxaZI6gh1lSn\nMVmA2yJ8Gey3okiFOYrg0auVCZUQY31C5zeW6PWzsOoyO0jjvxFhaCdRYx5bH3vA8LUira8vI1iQ\n22zg6BLuRGP+OIGuzokuTIjoc9j28JDP/cWvVOESLF06gBOV+Z0koSIxcVIMhllGZgol6pJYHTGu\n5snmuxQ26mwtPuFpbZO0MMQ2ZNqdMsblAX5DRjgOOWxuwF+C8sUT9PiEzmEFJW0TKAL2XpQw4jOb\nxzCraSKfHSAPQ7SfcegflyHjMrGyLP3FPURCRN1H1EJyr9QZjZJIToise+iFCYITon/eBCFkYiYJ\nvwpLyTOERIAwUPANETk5Z9DIwnrI9CCP7UfR4yahJzAfR+GiiBS3SX6qhx1KBI7E7GtJjPyIcC5j\nWQaT/yaFOUjhBgpoAqigVSa47SjNd1eRZA/pYz7euwahd36XqWYtGrfWWPnoY9SNMZliB1EMKCzV\ncTUNMQgYzZN4jkokYhJbGzHZK8CiRO87SzTPysRjJlY1ilDxiGESuTIlK/VwrXOc6cN3niHQQ8qV\nM1a2H6MtmIhpl+LLR7j/VRzvTR1EMP0YuXILPTaD58BQpmgZk5PqKpXlU5RLU2p7a4gE5yGoUxXR\nCDn5/gVmvsHC33nK3jvXGH8vD7KHvjtBis8QCAiPJTqDAv1RhnCi4I91up0FgpZKcm1EaqdLT87i\nWBrmKMVJfQPSHomrA7zvxlBX50znUWJbA9TYlOKNGp1BAV6A6q9vE8Fm+kaaxav7OJJCfLmPPTII\nlz08V8GXBcKajKw4zHNR/LGOetEiSASIWYe792/ihDrWYYr5xMA6TCEqPtmLNQqrDYanacJ9CU8V\niCrT901z/t9E+NFrbb7yK3f+zfgRqwKc/annKlAJw/DXwjB8LgzD/zAMw//1R3nhBybKggDlnSP0\nnxwwGBZIqwPihybZSgttZUT/KyU8UWL500/RnxnT2F8mudvBmWtImkdnv4J9P4k4l9koPaW6v06+\n2MaaR9j48ANqb6yxKNXp3ykjOx7m9zMMvl9m/G4BbobMJZ3sRo2I4MAxaJEx3bcqrGf3sd9OEfyO\nhnTF49LvvoN2Zc5m5imtNyqEdYHgoY7dNFB+xkIRfKKZMYXrJyift3C6caKpc+qd9PwMad1nYfOI\neS+K78kYpSHa1ojj39rl5Dd3znkfuTGzSZKFlw/o3VkgsjOg3qqw/codpAUHcRSgWVNcX8GrR7Fc\nle44R2qjRUWt4fQiPPnmFZYzp8yVCIrloeFSjLWQNi1YC3EsDXl1zORLaTYSBwiyz+zNLId7u/Al\nkBMOsfYMIe/h/m6MmDQmlhzClwQ2Sk9hFNA4XiTKlHLQBB8kz6OUb+B0Narf3GLwcIHuQYX5NxJ0\nDxcJhyL2T0Y4ba8SjkX0hTGJxJBQEJBCgZXMIbwXgAr9P6lg9lNIhoMq2+RWW+jCnFyiy+nvbyD9\ntI0oBsSvd7hWuAV/NYBTmW47T+gIKLLHQr7O0vJT8jfPKLx4SilTY/MnH6Br5wnU026czOUGc3Ry\n6R7Nb61RPV6j/UcrRDoOT790iWk7yfbaPdKvtjHvZpATU3K7VejD+HaORn0ZOyaj5acc3b2I09Y4\nfbyBrJ8DfpZe2mMxVWPgpajf3SBrdPFtBa+hwH/i4W8DtojTj3J6tgouqLkxMUzCkUioQ+tfLKOE\nNmFUQCQAQsyTOKubTxCW50hqQP3uBlLOofSJIwJPJaf38B7EmE1j5D96RjIzolBsEcsNia102Hjm\nHh4Kjqtg+Topf0jaGJAtNllYPqFwucZ0EEH+2ITRkzyFaIdoxMTfM3j6v1/B70tor83Y/OV7tDtl\nYp/s0fyfVukelJm1E3BfJRo3KaYaCMDSK3usPf+YaMzE90VUw8bv60y+nmf38rvoCwPU/JSgqiEW\nXYb3SqiBS6tTZGf7EcrynGh+fH4//T6Vfe45+n+MlY+t8slfeenfjB+x3veUkA+s0fv4/gWEuEum\n0KHfK4EYMskmcb8TQTBCip8+YzpJ0KmXoCex9spDTCdG53QBJTvDe1tn6dUndCcF+kIKyfOYnSZR\nDR+DGdnrTQ4HayiqxXwUp/ITR1jNGK2HRSKJOfYoQi7Rob5fYfdnbzER4oyN7DkGcmdK9NUh00ac\nvpVFUhwaVonctQ4DKwkzCW9PpbDSpnWvjDQLyH2iQ6ejkr1Uo/ewQHx5SDbbxZtoTMYpJscJUhcH\nyIZDTJvg/vtdOs0S43kCRXWJlZok3DH1qopf8onHJ4SCgG8rJF9oEpxpBCMJdclE0SyCQMQcJHkw\nuEZ6MsCVIpw+3CKZ7bK4doLdjNKNZnEnOhtX73Nw5zLLGweMv5Ci7efRLs9IS30GUoLCr50xmcZQ\n4xb+/6ET+w86jIUE43EC4z8e0K2VCD0ZUZ4zJcrESuBXVUwrhfHKGGnNJuxLyIaLH4XEzw0R3ZCi\n3GYkJIgpJlrJ5nCygSFMiWgz/LzAWX0ddWeOG+jkbzSIJkaoXg73lkbnSpmEPmCqxsl+skuvnSfI\ni4xbWd6++xHiH+3iyzD7oxSFnzmh3ysSBCJOqNH658vErw1Rs3Nk3ycXO2eiiNMAXxeR7YBQDFm8\nckDtZIX8Z05YF494vHGR0XcLHOlbCG0BfChuNLBmEVJXupjjKIrrkJE7BHOZyZaNavvIGRssAVvW\nqKg19qYXiKsT2BLwpHNHxHQeRzRh7sRwXRkx4hJJOvieTLIw5PWnH0OZzxHKIZ4pE82aOKdRHNRz\nqFQ65ORsk4ju0HpcYXlnn7g25uBom+WVA1rTAgsfPiChjDnsbRDVTIZPiqSX22iSgxnE0RfHyJrH\nvBtH1ENMYkyGaVZzBzTtGJXNU6Z2lEEqSq23RCQ+Y+WFPbpLRWTdw/tFhfajBQQvQBVchF8aMHsz\njZ2NEL05JK5OzklwwoSZYGDNI7hIqNEZ/UaexGIPbXNOtbOOYxkUKjUat9fZeOUR+69fZZxN4+3H\nebR4nUjaRJzIRCPvJ/viz6UxpAYs/annJf7v7J8fuT6wk7I0c4nmR4zfSiFqFrHMCNH0yDzXQIx7\nJBN9NM0CSYBVi6PvXGT43SJafMZq+pjMS20CUUIQAqxOnMuXblNarrKa32eOTvOfrrBdekLucov8\nYp0Agamuc+Xj72FkJiylT2l7BWw9zslgldbTZZB8TCfKYukEUQgoLDVRNJvNncdMzATx2BBR9glM\nhY1PPURQAhBlVj+0z6CVJ7PbIAhFEpUBrqggCR6jQZppO0U4URg9yLKtP8FyIhjijFRkgHQkMP92\niohkMSGBpLmwryHYIq1pGSFl47ZiSDEXPwluT2P8vTyGNGO99IRoeoSdUihsnqGujAljEt4gQigG\nCCcClcoJ80Anttyn0Vhm+nqK2XeSlNQ6StQmHR0g+gG+pyBrDuwESLKPMZkjmSGhJxLmfVRtTnGp\njoZNzBgTLggILzioks1C8YyF9TOkqItYl/DnKp4n8+R/ucLITnFU3+bIXGX6IIkbk9AMi9kwipS0\nufjiHYIzESHlIoghoh2y9lMP0eNzrIgGYYBpaMTuDClE2hjZCStfeEzowmr8BDoytbNV9MiY2oN1\nEMD40JAgDlMnynFj+xyFiYy9IjM6zSOpPpNJknSuRxiIxH2Ttw9eQdQ8kq+08SUgEcAx5OiCIyFE\nfBK7A2aeTvXWBuNclEkrj5y00YM5SsRBw6ZBmf57JXBErDfjhBMVDRdrHAMZ3F8XWF444pnCu6gN\nB8VwGP9mnsRiFzelIoUBic+3Gb+T59rW23jICATsbN4jXWwjaC6l1Rqn724xduPkKk1MK4YQhNRf\nW+eos05SGyJ6IYIXshg/ZfgrhfO28tdzeKZKJGNiRE3yWhs9M2YgpNHlKeNRkmykR2njjFK6jrev\nUmsvslN5iCMrjJ9ksfs6y1ePcPwIiuJSePEMY3GM047QG+QYtbJ4tkzoCLgnBovlU9L5LqLmIRsO\n0f6MYrZKptimdbJE/Nkh+39wlcRnunjREC0xR81OSGe7pAsdhuL7h4n7c/IpvwNsCYKwKgiCyrn9\n7Ss/zj4/MFEOVRFRDnDjBlFxSiAIpK52sVsRNi49xPRjoPuklQ6R6JxYasjipw5QVIfaZJHeawuk\nwiHWTEeI+dhoHPdXORqf4xbDjZCne5dp3S1x8p0LeCOV0e0C9793HWEk0ghK5LQuayuPKaab+K8p\nJHJDltUz3KjE5CRLvbOALUZIMCY1HHN45xJXM3fJ7tR5+rUrdO4vQDJkqhmIGYfJ72VRBI8ACVHy\nyYp9pGUXIzNh91PvYWwPqYWLdEYF9r52DTnl4OgK7kBjSTzDE2Q2Xn0ISx6j/zHH+M08wp5CfqnG\n0EuxVXxMeqvJ4qv7mNMk1e4KaX2A7RkoCw6J/Jhivkp4IOCEMbY2n3B0bxfTiWP+t1ncloq8aWOt\n6lSH6xgRE2esU99bJx9tkRSGXHjxLqscE+ZCltaPEVWfycM8heeruHP1PN5HWETNThh/rUjt9ga9\noxLN6iKZYpf0jRb+QEGNOYgvh8iyS6rYYXJcpPziCcN+Ch+R9eQBl6N3eXzrMlLeZ+7pTGdRpmYa\nR1FZKJwSa85J5EdEjSnhF0KasxKJxIAgkIglJxz0NxC/MIXeuUCvXnmMLHhIQojlqwQjncvb73A0\nXSdAJEuf5Gbn/BpIlHjSuMj2i/c47q2yu36HnNxlKXHMcuGExaVjKj9ziEBA73GZ9fV9Eskhctxh\n+dU9Zn+S4cbm64zGSY7/4S6hIJBgTLWxhLEzQo3OiX18wGrqKcv6MS+ufof18hPCz+tMgyg1Kqxd\neEpG6OF+NmTaSbC8dMT1/C1mrTSpDzXZO76Ej8QpK8xFnckgTlobImo+5APO9rZpjsuMDrOY9RzE\nBXYyT5AUn5Q4IHWpRbOxSPrvNej+D4uUXz1Ej0/pfm0RRThvIBn+rRJp+lS/v4Eas9DFGfWvbyDL\nHtKmR7HQ5OHwCql4j/TNBuqNCQ1zEfPdFKvyEQMrzWZmH1+QKUQ7OG0NVXWYzQ2iF4Y0T5aYWXGW\nsqcEpsjZdAVRCJhPIiiBzUplnxs/+zr+voIqudieTi7ToXp/i+4wQ/OdtfdNc35cn7IgCF8EXge2\nBUE4EwThr4dh6HH+p943gIfAl8IwfPTj7PMDE+XoxhBVdjAKI2aOTp4O7dvLzPQo7WqFdqOMFjgU\nlptYbyVJXejQqC2wlD0lqk0pfvKU4ThDNDInfFemMVtAPhWJ4HD0dJPlm0/RixNy19skt7qIcR/t\n4ojU5T7R/BhzGscJVUQ/QBUdcr9Qo/OwQu2fL9N7UAYhwH8txrB2noztn6nk1qs0KBNlRuS5EbHt\nIUZxwLQfZz6O4nxIpXVvGU208MwITb9EKV1jYsdpNStMqxnsQCWT6LPx2ftMrShmNMrVX3yLKQbd\nToGRlSS32mDlv37M1U/8AKEUEMoCiugxClMIQ4HOJM/sH8jk8y3MSZJEpo8hT5mfJLA9De8yJBfb\nHHU2KWyc4ddU5P/UAgFiS0PiCz2CMYycFAvZMyLZMb4o06wt0LeyjLQkMclE8nzCpoJgBNQerCK5\nIQM/wzqH5OQez/yl7yOnXHLrDcKqSO1fbDJppYgujJh0k6w895goU3Tfgtdg8vsZrmduE/oiARL3\nzaus7h4hL9lIko8zNVhffMS0n6Q+X+Dy5TukhQGK6+IOIyzEa0zMFNNxjLLWoJhpkZBmBK7Cw8lF\nptM4p4MVMrEOgikTJByOeusIfYkYJt5MIx90mM8MKq0GHAgcNjdR6mCHKmf7a5xMNjh6a4tOt8Ao\nTHDvvWfJLTWoewuM7BSVTI3Tkw2KL55hBxFW0ieUfvkUCDGJkgomKLKDgot9FuW97z3P6XSFNx9/\nhM68wMrLj0krfer7q7x38gI2GrlyB0V2aOwvc/fuM2xWHjL/UpzcWoMAkRJNjt/cJZYzqT1eZ/ok\nydbWfXYu3UEdBAQziWhhwMsvfov93gV6ByUmagxVcIjnBgxqZZTPTfHnMmrosPxTewwHGerhAhf+\n0R0aQRlp0UcSfBrOAvGX25zW1/G7MoYwxzxKEboC47fy5NQ+gS8gftbGJoL1zTT9IIPwVoAfheSV\nDkwE0skBsdAkXhhg6CYH37qMM42SX2ySFXo4foTyYpURSfZm27DrspE4ILIzBAQWFo6ZfzFNcqfz\nvmnOj+tTDsPw58MwXAjDUAvDcCkMw9/64fzXwjDc+WEX86/+uPv8wER5cprGmylkvS6Z7ID3/vhl\ntq7dY2XpgOH3smxU9jh8b5fOPMdLn30NbeoSi005a62CF6LGLHrDPCW/ibWt4R7rzIYx+m+Wichz\nTs/WyKZaiEKAmxCwHRVvEKGcruGEKrNGhmzQYzDJYRKjaDSwTZ3Ep0dEtsZU1o6JfqxHbDJjmz0S\nn+ySSI4QgpCpGedi4T6i6JLLdIjEZyiqg3gvRBBh5sQJqwKdB0toE5dspckk0Ll67S26zSLt95Zx\nkblgPCasyhw8vUCHAoIpMB5mcF2FYZCkYZVZuHFE/Z1lEvoIx9EItQCnHSX3t4e4goKhT3CQOa6v\nY8saw0YeWfTxRwqVyimGMUXI+ajpKd49FUn38RyV1KU2phfn/v1nWC4cowsz7JyKpszpm3lO2htM\nxinCrIcYcdGXJqiygyI5VOeL9OwsdqixXDgkismln7hF4lNNfFvBHhoYhokUBCiiC2MBoRJifGHM\nO195ibEdp9Fdwq1qVOtLOFUZb6pQKlWxiDCeJQlrGk2vxNNvXEbxfBYqp8i+j9gO6e+VaHUW6N0v\nM2yluXbzLSQhQJEcvLMoviihjhxUO0TshGgV85xdbIChzYj7U8LNkOWbR6TEMReeuYfrqmyk9wjq\nMqGgEBgSquKQX2kiVyyGZobJ0zQnX9thdWUfIepxOlnjrLtKyagxmaYQCZlbUfxQojspYY8iJG8M\niEZNrl14GyNu0j5epOtloS0Syww4vb/NMqe8Uv4ukeyUwoU6M0HHeU7FcVRiTPCQyaw1EXxQMjNm\nOR3L1jk63iGWMMlsdIkkprz1Tz7MYuyExMqARGgiCx6daolooY/uuVgjA9uK0Pj6Con0EHccYf/J\nFRTRRXUsxnaS2cMU01kMOWoRTUzZf3CBZ268Qf1gjYVnjglUAdENKZTqdNw8y39hDy+UufHX30IM\nQ3Qs5ITLinhCVJiS0ztIM1j62B7JfJeYMGFMnGjM5PidC6ihQ8WoEROn7Ld2sWoJhqMMQsJj428+\nJB3vvW+a8+9KHNQHJsq5yzWUmM0olySV7rP7kfd4+vZlBrfzyB+ymEsRFm4c81z8Har+Et0wT+9b\nZfK5FqNZitk4QbzSZ//wIpsLj1HWZ0jLMzY/fY9pVkfq+QynaabdOIVYi7lrsLq6z4Q4/lAhUe7g\nBCrDcZqYP6FjFxDKHqZsMNnLkwwm7OQf0X+vyBvDlyjTYGClkUOPRHzAydkGgz8skw87lKQm64kD\npGs+mdU6i6Uj3CWBy1ffYZqOkFN7rCROeXB2hcXSCelLNVrDIu+ePM/1Z35AZMlEw6awXUOUPAxt\nRlSf0tlfwPBn+FGNeRDDDWVyRo9EcoBRnlD/nVXqj9bxJhH09JTKwjGlpTMsO8JCqsqD158jgkUq\nMUBVHa7+4lvIeJjHaSR8tow94ht9JHwOfuIyUWWK5IbEYkO0tx1cSyGempBc6XEtcZvjBzvEMSlo\nbVbjRzxqXqSvJRn7Sc6sRcx+glAQ8VDQtTkHzW16pyWqJ6s881PfZ0094uLn77BmHLGZf0y20ENZ\ntvj4y99k/KhAf5hngTrrS09A8NmvXWT91Qd0vQyq4jC00lzZuE3yWotK/oRZVmbrwkN6QY5ZN0mg\nipB1mM90Ytf77C7eZSqkiQg2I5I4Q53GvEzz7hJnnSXq4yUKhTonzgqBIjLMJJkP4qibY64k7jB6\nWMRNSnQaBVxTY+3yHus//YB2q0xJa+F6Irwuc+ytEo8MCRGIr/Qw30khGD5BUkRT58QZ0yFPWWmw\nvvyYiGLx8ivfRrUCpKTLe//nS+yxTSw95vi3L+AoKmLGx5NlmpRRcQgiAk6o4D2OkMu2ODtb49nV\nN8jnGixmj+neXyL8uEfcGBMTJhwc7TKaJJipOqnIEGcdbpZf55J+j8pnjgDYTj9CrUxYE49QDlym\nv57DXhDRIhbZeI/J7QyLl4+5ffo8wlOfanONhbCO047gBxI5pcsl9T5xacLd0+epNZaQcREJOGGZ\nO3svMPHiWJrCbBYlJ3eo9taRCIhFJtx8+TUqQg1b1EgbfUTZZW33CSvJI3JKl6PqDp73/vKU/10Q\n5Q/MfeGaGqVEDVVpUZ0uoqgO0Z0houzw0fib3HWuMhqleFt/gUykh9mLwUWf48Yaa5kjOm6eitwk\n/cyQ2qCCoVmYqkLgS4hCSGa9SzbWZX+4S/BQo3zpmKO9C4higFYYETdMzkYrFCs1WkGJfKRDvDxB\nkly2ruxz9+g5KquHKKs2ujKjZi2xG3mEY2n0I2kcSYGrIfuzLcQeDI+LORSZGwAAIABJREFUFJ4/\nRQzPk/sqqRpq6BCfTFESDof2Jtcqt3nQvAo1GTsv8+Li9xmQYlaLkV7r47oKhXSTSRDH6sZ56cp3\nqIULxJa6eI5GVu0higGzpwlG3Rxr/95jMvSZEOestU5ErZOTumTifV6fv4xs2FSocct5hqze5Un1\nAtlyl8LFKjFpzMl4hWR8yIOHz5L9oyqju1miuyPMfoLUZ/ssiWe8u/cSoQzmagxZOo9wmjkxdGlK\n8HWd4ONz0qt1MnKPUrnF4Vs7FLYbVJtLPFP5AY8Gl3hh83ucPV7B3lToVstcWLzHQM4QzYzxvThH\nrPHSs9/G6kS5p1ym/WCZwnKTUunhedxU7jZPvU3mdpTqdzdZ/ug+e+Mdbpbf5CRcoVctsL1yD1vQ\n0PU5zoMYcsnldGmZlNjDUKaIBMS0CfVmhbWPPqTaXYYWHMqbCAcymYsD4uoE4+UZqWDI6+99gvXL\nDxEln5XyCXtHFwltibpZoZKv0pnniUQstM/ZBBMRIXUesDs8zJP5cIP5nQTFq2fMqnHGnQz6xTGy\n4XLr6AWubbxL/XCR0nqVpfwh1bUlzm5tI/Z8rvz8u1ihim9IzAcGG9kDTlhGCjxG/RQLrxwhuGBM\nLW5/9SZhMiR+bcDWpfs4iszBcJsbibcx1qb4rsxJzWCUTSIcq7ybvEmsNGRVP6ZPhk6YJx4fc8+8\nzPTtDOv//QMMd44o+xxbK0SuTsiGXQrLbW7PbrKY3WfmGegbE3aVR7zeeRkl7TKo59DqFtq6h02E\niZmkd1rh0u4tpmGUy/J9Xh98GCM6pZiqUvUXmb6VZrSew48FBH2dwuIZs3GMWqAhDSVWtvaQLI9A\neP9gbTbq+/auP8/6wE7KkdiM3igH0RBVcLEHMUI1oBKvcsQa08MkyeiYjdg+R+0NlnaOuXnheyS0\nMYZhspY8YOYbDA7yLOZO6e6VWFw4xBUUvCcRAkHm8YMb5/dXhoTTM4gkZixv7iHfEyhJDW5m3iAi\nWWi+heT52I7OwMlwu/E8QU9CExyyzzVYMqpUq0vs1Xc5nG/R7ZYIEFm68BRVcigsN9j90C364yxG\nZEbTKmONdKp2hZlq0J3leCHzBlMxSineIH21wfXVd7jbvkG3XWJp+ZjWvEBW7mFO49iWRj5T56i/\nyXwSRxY81jP76IFF0ysSTCWWtEPanQWGYYoAkWhkzP5buxxMN2k4JXTJIsjDDIPBWZGDJxeJlU2m\n4wSaOqd7p4zgiNS+sUZ564hd5THKxTkxzWRq6VQfbfDm4YfRRItkuUNMNFGGLklGaJE5B8Mt1Bsz\nJhhI+ISCgFWPsXHzMVMtxtbiEyQxYDV7xKPBZWZrGhW5ysrCU0TZJxmOaDQW+b/Ye9NY2/L0vOu3\n5j3P49lnn3m683zrVpWru6vaXW23TeJRGCRiMUhghImQkCBCCCMkE8IHEpCCgwSSsYwhSuLE7m7b\nPXdX3bp169Ydzz3zPOx5nte8+HDKkrGdYIWOLLd4pS2t9V//tfan/WjrWe/7/IydEAIu++dr5KZK\n5II1xLkJQyfAiT3H7slVRl6QoDAiEWlS/PIuEX+Xpcg+j1+8Q+NbM/giOopjk6GB2rII3e0Qal+A\nTjOLJfJUUDHwhjA7d8DICCKZF2FUK4ltEqsV6vU8mqJT7+Wpejlu3vqIoG+Iaau82rpDcfqIgDwm\nFungk3T8vjFGL4Rpq2SSdSxHRcFC1kyGG3HURZ3+OIw/PiZwr09YGoIgsJzaIewMGcwGOGvNIgoe\nvZ0k8eXKxSh6CMZCgPEognEWxEZCAOLxNm/kH2Gh0NYT+KIjkl8qoxZMTFSOT5Yu8puDfV78/j22\n/vEtuo0kdy8/JiZ0Sa6ViGdalF/OseVcIlbtozZspIGHsC5z6T97geJa2LJEY5AjWL3Igm54Gfbq\nawSzXc5Hs2ztXifu6/DauEI2XcUnT6g1i4jXDFA9goxIh2oE59qcTOYY90K8bl7HJ49pD5MExTER\nqU/hwRGRTIugOsKX6NM6z7I8v41y4kLDxnMFpIyB6/zwJOqvCg7qL02U7f0gQtDDNmUywQpadsjo\nOEHfiVIfZHD9MDoJs9G9ys2ppwh9gZent5EDFkdnqximRk6qMrtyQIEyuZsnGIKK54pYPo3JPwly\n68pHWKpEuljGjoM8cPCNTEZLfl5Vb/Lh6RcYDCPM+E7Jy2W6duyiqyNTJ3/z6IK59iKEIHikF6so\nKQM1Psbo+0lN1RhLAXyyzv75KqeDWez/NEBAHGOMfbhJgU43c5EPEKhiCwoTx08uXGaiBwgwwXrh\nA81Fn/hZChzgE3WmAiWs/y6EIlvEEi2mw8csBg8wPA1DVtEkk+hbTXyLY5LpGsdbC5Sa08Sibe69\n9YhUsIGEx4x6QiZdputFubH0hPsrHyIKLivxbXwY2CmNQuoU360hgw9SPOncI2yPKFdmUQSXwFSX\nzy98k2S+RlK8IEmrD8bEaTPBRzLZQF6c4Jz6Oe4scvDJZdT8mP2jyyR9DWxBZkSQziSO7Dok1A4m\nGnG1Q83M0XNiGD4Jcd7A8wQyc2UGlTgdO87b6YekClVycpX0dBlZsOgfJYnLbdr9BLJh03DT+IpD\ncvePkWWTtpRAx0d0pU1M6RC52yEYH9IY5Nh4cZMgI+ygiC5oNMvThCMdjLDKq4dv0PViKHGDipVn\nIbpLXOrwav0+GeqYpsalS6/omVEsT2bYD6PjoyCUCSfbdI+z7D2/RFatALA6u0n8RgNTEDHHfsr7\nc1gjlZBvSJ0MompzJM7SflVgPnnAeuk219eeoU/8OGWV0/481aM8S4ltcpfPqZMlThuhLzIkhINM\nwVdCmx5T+eYcSmZCMXTKg4UfsPfqKmFjhPPjHtGfrBLM9Hj+e3fRRT+1TgFLlvEUCVeQ0LMqUtpk\nIAVJPahwZM7TJUprnGIsq1Bw0E0/c+IxvR8kiKtdVgvr+KaHaOhExT6V35zHREMNjpmUIoSEEQ4S\nI4LEAx2K/hP8oRGxWJtryZeomsnBaIE1tjjcvERYHDB+FSMbqpKcrnH2dxeJXusw+9YhpfYs07FT\nRNX5oWnOXxX74i9NlHtE6Zwl6coxPERkLBJLFRTP4lJwi3yozPSlYwLChAwNosEumXiN8YsYri1R\n+Z+L6PjQMHhh3KQonRFixNAKEptqMPvL+8RpM+yEsS3lgpixXMNUFOLpJsXkCUYpSDZQZf3lPSYE\ncAYKN37yEwQJ6o0i1UkWy/cZFt2C9jBO458UyU6d44wlsmKN8u48y8ld1kKbvPlb3+WgtMzt+FOs\ntobgXHhnPTtK20tgjH3o+NC/EeHx5udJ3GoQj7Zp60m2e2uopsVe9Qr2LyhUenkOv7rCVu8Kuuuj\na8apNopcFjYphk6QsanW89xe/hSfYNLpJpjgY8XbRVQdRgQIq31a4wylzgw9IUpnO8fE9dN3I/xY\n4dt0zPgFI+2ySDzcwfEL+BN9FvK7eKLA5vAK88FDFrR9LBR6H2aQcAm6E0qdIsvBff6Nz/1v9J+l\nuHr/GWmhgfKPLDpCnIOHV6h6ObqdNLYtYgoqJ/0ZXjy7S1E5Iyp1mYufYDoaMg6C4BHOtzHGGh0h\nzox7Rt+NMC8dUTYLWGGZnW9dZzZ0wotvPaB9kmU2eYyiWKhBg4xQZ7u/SrWXwxA0ykaBKD2K0WOK\nNw/xM2EqUKFfT7G28JJQcIgim4iGQzLaZCp0jq1IqFhs/+MbXL32lOef3qfVT15Qu80IfnnCZDdO\npTVNzc0SckZcvvSc5WtbWKhInkPXjSFJLuZE41buKZfuPAfZo0YGwfOojAsYuo+Vm6/Yen2ddKrM\nmTfNYnwPIeuhjzXm5o+QsSmqp6yyAwgUIif4mbDk32OCD1F2yb1/QjLQZK+5ykdffZfrN59g+hUW\ngwf0m0mCypDEuw103UcwOaDtxFGCOqviNq4nMraD9L+VYWBFiMS6pKQWSsgg56/iIhOKdRFxWfz5\nTYZBPz7BoBAssfP6Fj7BQPrIpemmyC2dcXvlY6ywRIY6KibHlXlkHDJynZjcYWhG6OzmWYwc8Mh8\ni8zsOVsf3iZ4u03aq+MXJwR/pUP5eI4YXeZTe7TbKcL8cIdH/n9R/heULz0gWWwQEEc0znMss09c\n7HD2dIkqOZqjHD4mZKMVzrxpLFcmHO7hLEG0UOfK33zJaBCiTpqU0+Z8XGTghclpVQS/w9nGEj1i\nrK5ssOTfZ3v3Kg4iB8crBMY6suIQzA+Y4Gfq2hGvD24SK9YZEaT29TkW8luofZflaxs8efoWimTj\n9jQKP3dAVOqSCdQ5Hc6QmKswFEKsP7vLfuMSyhCqQg5xDAuFXUxUBNdjYgRwRhpDgkR+pomUMAnm\nepzuL4Di4Y5VhnKQZKrClaufMjYCzP3UPvlYmdJwmhntBKHjsmcus/nRDZpmiqBvxK61wkziiNXY\nNiFGbNqXKK/PMDTCDIwI/uCIRjPD2ccLvHH5+3iOgM82+F77XZJqi0SoRTLVpCCXiLo9ppVzAkzI\nhcrotTAvxzfYGF5HwOXu+x+yyzK2LuN4EhV7iu/Y77F6/RWbp1dpuUkCf7NLrx0jFy/R3s1xdeo5\nY9mPislyeJ/klRoRoU/VzHPSnkfclTjvT7O5fhvd87EQObzIkDAuo1omOydXWVAPSCTrTP/4IVv/\n4DZXfuophfljJq6fs/4s6AI+dCLagKuhdXzoRM0+CbFNjyhdO4aOn4ntR0wbHB2vcLy1TFaskX/r\nmG4zxdF4nsBA51XlFtd//hOqnSkGs37Wclt0WgnysTPGBLj25icU4if0zBh+35iU0OCovkRrkgYB\nEmKbQF8nHWqw1bqGioFkucTsLt16Ap+i4z7TMD0VOyCT0NpYvQB9MQKnIjgyeivEdv8S25M1Blz8\nM3/dukWXGI9ff54prcy4GUGUXE4acwTEMd6Ki4HGRPCxdXqN6zNP6RhxHJ/MqB9CEmxGW3HC6R4N\nN0NeLKNicvnnntH6/hQ5s07jvMAiB+xW1kibTXyyzkb5Jn5XBwu2ulc5aC+SnC3jl0dk/8EJYQao\nksHjr3+O9jen6BHF8DSCsQEVM8enpQfUe1OsP7vH1PIhJ2eLGLpGNNglNN1Ctmz2hmv03QhhsQ89\ngTJTdMpJ4ok2Z525H5rm/FXBQf2liTKbEq1PcwhDifZGChUTS1BwVIGAOCZVrBClz/HTNWTBZuwE\nMFBR+jZjK0CfCF03znm/iOi5jKwgg/UkJ90FpsQqs1d36RKlNJnm0+oDxLBNvx9lOneGYfvxbJHc\nzCljO8RE8JNcqDL+QZyRF0RJ6qxv3sGbCGyXL+O7MkCxbbIz51iOwlbj+kX/rWviD0zI+Gr4Lvcx\ngwIrq6+RPAdlakLTTbOgHtH3IlT1LNF0g9PDZVTRIOBO6A5SEHYxPgjheh49O0rc18ETRC5nNiiP\nCwQZMRM55rC1xNTaKXm1gi+vE9W6WKKCLNlUToucdeYpe1N0xmlmrh3iaBK9dgIfOsl0k8KtYx7+\nT1/iuLKEa4hEYj0cV8SryShYaJZBtTPN6fkcB88uoQoW0dkGmmhQH2fZb69yOF5AxMULQCTUJaJ2\nmfbOsZISN2eeEhKHxKQueaPKdO4UTxAojYtIDQEXkaaRwqlpdIlhexIBeUzkdgvnlZ/kXBnBAx86\nLz55QNjfR3/lx4iJnDjzROUukuEy9ytbiLicnc1RPyuwlNvF75tw4C6S1Fp03AS2K2NMNA7tedy+\nTFAa4SLScDNkhDrTs0csr21S1zNkfVVyqRKaY2EoKsX4Ma+O7yLGbLLJCutP7jObPGbohtAwGBPA\ndmQ6eoyQOOSjr79HPnOO3z9Cx4eEw/5vXGZAiFuJJ1Rb0+RCFWJyj5EXxBEE7Jsutqvw+YVvsv5f\n32cttoEriiy+scnl/EuatTT5SAlMgTF+IvTplSPUhzlCiTYN0limhGi7JLwecsNhfm6fnY2rhK0h\nwdAAz5Oors8hug5ThTMsSyV/7YRkss5RfZEgY1xFpG9HuPWlR+xZi6QKZT4+/DFm8ieYgkJzksFK\nCVTIE/aGzMYOWE7sEdM6dCYpkjTxRGi0p5j5yh53fuIhfSJIgkNOq3FXe4pfG9NXg4QTLQTXI5Mv\nMxM+oaZnScQ7jPQw86F9nKHKyAmTWKww3Iuj5AxyVInGfpgtcT8CnrIgCD5BEB4LgvBCEIRNQRD+\n28/WE4IgfFMQhF1BEL4hCELsT9zztz4Le94WBOGfi49dfnOD4s1jDqorFL98wCELRJwec9f2sFAo\nHS0wwc/CnS26xAlqI0aTEKvL65iHYcr1GaYjp1yKbFK2p5BwWLy5iSA41MT0BWXCaxH3d1CCE7K5\nCtFIj0BkQF8M0XbinG0tAi6YApLgYt3xCAhjQnfbsCkTnWtjaRLXtHXO9pZYkvap/71Z7HWND3/7\nx+nZQWa9E0xUUsEmPv8EG5nGKEW3nSQnVmmRBB3SkQZtI8XVuWdkpAYLU1vIPoPpzCmxn64zlz+i\noJYQcLFQqNtZ7vsek6WK64rI7kWmx8fP3iU21+C8Pk8hdE5WrWFrEpF4m/owgxOGPhFcR2A1v0HT\nSZGINdjvLHPnVz8klzvn9NEy/W4EQ/QxnlIJywN6SpTWt9IYIYWV26/Z21xjbAURTLDWA6RidRTR\nJkqfGU5RfCal1jQv6rewJgpn7gzP67fY+/Z1ZMllS11GiBuUthbQZAPNMzBHPtwI1N0MxlgjHm5R\nEEoE3+jQNaO0Rkmen7/BpbvPUVybS/c2eSv6EWPTT4QBnUmCVWGHnhdlvrjPXG6fw9YCE3xIos3W\n0U2SSouWnWQU8TMchFEiBpYgY6Ewo56g46PWz7Ii7VL5vQV6RHE9ASHsMOjHsX0y1+aeYusyl8Rt\n/tq9/5PNP7jJjHiKh0BtkiMiD/CFdCaen4X3t2gPMqiuiY8Jryu3Uf69PpPvxPmg/HmEuM36yS2O\nvDnstg9blugfZFiU9/nOi58g+KsdHj15F932UWnM0BYTqHMjqoM8tk9iiQMGhJm7dkAgNERNGxx9\nbY3hJEpIHlKtF4jPN/H8HkpmTL01hZrQqZPGmzYRPYdpr8SwG0KyHc5HRRxTYo8lbCTG4wB7wxXm\nw0ckhDZvLfyAUrXIMBRE8DlMq2esSDt4qsfm5l02Pr6NrFqUPpjFREN3/eQTFxDXT5++Q44Ksmdh\niQpf/9rPg+yRGTbIr5yjBAxKwwKOJ5EPVJAjBqHIgCen7xCOdJjVjokkuuSXT4mLHT5t38X7IXZf\n/EjYF57n6cC7nufdBK4D734GUv3PgW96nrcCfPuzcwRBuMzF7PdlLkKf/74gCH/udzz//luMPB/X\n5p6iWSa2J7N/vsbR/gqmq5ItnvHy7C5Jmpyur1DqFzBqAWTHxctZLGe22Ny7RZU8qUiNYTNGfZLl\nzfhHJOUm5805UkKT2k6RYviMaeGcbjlDr5zgS5FvMDxPoC0NCMkXKVa1QZZCsMTu4bULcvTVEe3T\nNKvJbU6EWWZW95i4ftS/PiFwv0vi58oIHypsuZcwUWlOUgSECT5XJxHocDX7ggBjovSIRPtUvjXL\n7cBTbFFmr7eGZ4v4JZ2cUKXIGYpnkaJJjxh5yogTl1f6dTok2Pj4FoH0gJ1/do3IQo3zoxnW4hsU\nOWW3tko2W6JlplkO75Gzq0g4NPtpTkZz9DeTDEZRYkoPxxSp7RX4wvt/yJuJR9T0LLJr026lLrzD\nX9oiFu9SZopA2WA0CYMncOcLD6mcToPi4UOnSo6Y18N96CchDhBU98JuyRwz/f4evWQQVTWJxnpc\nuvWMWKzN1uPbXE2+YnQWofGoyI8lLl489qwob6iPiSfaqEOHSLLJeWUBSXTYsVepGFPM+o8ZECYb\nrvDKvY5haBw0VvFkuJv8lJjXYzQJ4YsO2Bss4/UlkkqTm/EXzHNErTRNgDEnzOAhkA9X+Nh8QOaL\n57TMJIIA7UcFVjMbZL0au+VrFP1nvJzcosIUS1/epNSf5dWze5gThXonxyV5kzOrSHk0BYaHIaoY\n+LBcGeGFyr2f/oC56DE+UUdqQ1gYks5XUHY8QrNtyu4UatNCFU0+d++P6JfjXMq+ojOKkQ9UWArv\no7kWD3mLCD0UzyLsDggoI668/5x4qgk2FIuH7G5fp/vdLOlUAzU3IkUTceIynz3CtDQcQaIonVMf\n55gJHhNI9qm5OXwjk/nIEd5Ypvs4xafV+5xTRAbC3oBlcY/Xu7fpe1FkbHz5DoUH+1gjhan3j6mY\neaJej7aR4OwPl7hz80P86ASECeXH89z/qe8z+DhOxZ8lRZN2O40W0JEEh54TxbJUVtnh+uwT5jih\nbmc5q89w3p6lpSe5nXiG6lk/LK27gBD8BT5/2fUXAaf+MbpQBSQuQp7/GvCbn63/JvDHmNi/DvyO\n53mW53nHwD4XIdB/phbf2aB/nsQaaaSVBqVP5/BNdPJLpxTcMiF5QCzToOmkWbi2STpaR0vruBIo\nmkW1WsAdwCwnCKZAoXBEyt+kZE/THGeQhzb7LOKLjwgw5jv77yNEDCZqkK9t/iz2cw2hJzFyg+S0\nKil/k2ErQuq4gm9kIqQcpKBFgAkDM4x/ouOJIHzPxegEyfqrzH7xgKJ0yv7RClGli2NKHDWXSYsN\n+k6UMQFKoykGRzHSb5R5Wb3D1tPriDWXU7NIbX2aHhEsQcEQVepkMF2VI28BwRPQTJuKnefyg5cE\nGZH6Shm5IaAaDoLicurMMhM/vuhEaOq4iAy9IH0zQt5XoSCWeePah0TFDoasUOtOowkTnozuMcFP\nTOsSYEwo2eO4tkSlXICBhIuIMe9jObiLLms0pDSrc5skpRYiDtXBFG5JIfGFCoNRiMSoh2jB+DRC\nq51mSi6TUDqMTmOogokdFAlfr2M4GlrcYO3tF2yzRqldZGwG+ebvfoWIOcSfGzLtPyeoDMDx0DyD\n7c0bHPUW6RpxDiqrmO0gKbFNMX1EazvD9j+9SqlWJOBMuJR4zUp4F9UzOf7wMgf2Ipv2JXzSBAGP\nPFUsFGJiB8lx6EkhomKXMAOksk25N01HiBPP1RgRwBEESidzjPQQekgmebnCjfhLUvE6e+M1uh/k\nuRLdIB5o40Mn5A1RJjaL723iCgIDI0Rpbx6xaGD0fYysEMJ1C88VqHULJIpNMrEKx8wSy7boClHm\ng8do6JyUFvBEj6tsoGDR68VoOwnSNBibQSLigK3aVSxBQUsO0N4e0N9KkJx0LloAVROzp9EbxRgQ\nYpzxEQn1KHJGJlDnivgaUXPYGa2wnNlmHA3wTu77WD0fQsCk1UhzXitSWDpiYvgRgNvxp2iuQV+M\nIgxEXOczJp8rkf6Jc+pShvPJDH3CpFI1dutrFN4+xXfuUGKKZKxBRmtgCD70pp+iekpZyNN1Yzy3\nbmE5MreyT1ExUTSLp3tvYho/PJH8kfGUBUEQBUF4AdSA73qetwFkPc+rfbalBmQ/O57i/xlbd85F\nCPSfqYaV5t3lb6BEDY71edbureMUBTqli9anhNBmQTsAF0YEOSgvo7s+HGTejHxE7cU0b975AUNC\nnFYWCPrGtImz//wKS/49wrMdakYOLTnmcDxPYfaUQGjM1dRz3rr8Pby7JhNP43xvjjEBivIZiXiT\nhff2aXpxFsL7xJMtfOiYQx/+yIgwQ6w5jasLz+jqcQLBCx9RlRyyco2hE6JupJCxGbhhXn/9HsvB\nfby8w0z0BDmjE1zrYmYk3gl8SOByD9NTMV0V15HoeHGSUosIfZyIQL1UwCdPkLDR8dGaJAjM9DH9\nIsNRmONfW2VeO8Y8CmFIGgoml7VNkmqLqL9H2l/n6eAuLTXB+HGCaKaFlrDQBwFeVG5ReVUgKbXo\n6XHcgIerCaQDVVbZIRzoo2saS8IBpqnR6OUodaZRsbgUfk01kKfZyzG3tMf66R0agzSFmRPeTDzk\nvDRPVqiSnTun7SZoDtO8GXhERcoRTTQpW1MscIi075AMNrn6s8/p6RGEkkSDNNFMC8nziCldQitN\n1iJbTMtnxKaapJIVJqqGgEdLylL4mWMkFQTVJUqfgRtCjpkoVwcsyAesyTskcg36ROg4cVwE9o1l\nAv4xD2IfY7syDhLv/OvfQItM0D0f3XYMUYfWXoG2FIOAdzHJ6evx8e7blPUpGg8LXP3iE87dAl7Q\nxXIVPEFgZWoDn6DzqneD7ss0heVDZNtirPixPBnJ8liO79D9dhpfSKc/jBBgQtgY4cNg/ck9BkQu\nUu46YZok6RMlEBxxU35B14tRGhVAdnh7+geYmsRqYQv/xOD+5Y8g6HLmFKn3MpQOFpAljwATgsII\n01L5XvM9JlaQCAOC8ggVizOzyM3Ln/JJ+02S0Tp3Yk9IZ2q4WQFFsNh/fpmdhzc4ZZbTr6+CCJYk\nMfhqisZ5AbvnZ044RnVNEv4mpumjmwyxlNlB6EBh7YRqZQpFsJhUQ0zwE/ENqLg5alaOjFjHGmmE\n5CEBJiQSDbAFlKkRMelPgz7+5etHwlMG8DzP/cy+mAY+JwjCu3/quse/OOj5z72m/u3/ku1f+0cc\n/I3/C/HRdzjvThNSB8SzTf7w1c9yNFzk0Ftgr7WKjE0q1yAebnEynqNOhgc/8V1aVoo+EfKFU8YE\naPxBkeiNOobtY1o4x+catDpJCloZWbQAj4++9UVeVO9wdeYVM8ljotNtmnqSJ/V7dN0YDTfFjeRL\nNtdvIwDPt9/AdaBmZvm0ee/iLbenUf3tOfTdAJVBgcR0jaqbJ+bvEhRM9k/XcC2R3FcOMdAIvDbZ\nGl8mKI6YDAMkRx0+tt6k/yqJTzDoWAl6ToxafwofOusnd2nWU9y4+pigN0YUXdyJiKQLFLRzUoEW\n55Min/9vvsG+vcSt4hMEDTrE2fbWmODHNS58Q79hMW5GWXx/g6PTNcLxDnbXz9X8OolrTZ5V7xN0\nhtwMP8d8HGGjcY0fVD+HpQqMzCCHyjztao7qKIsgQ5UcZ84MVxJoQfz8AAAgAElEQVQvmCqe0nYS\nBGc6fDn3h+zpyxx7syi5MQMvQt+M4B3LCKLDEXMkvA75QIUVZZddVpi7f4iFws73bmChkZ6uEHRG\n7JXW6FSTHLZWSPqb7NkrbJtr9J6lMAQNBYskLS6tveD1R3dZSWygj3w8H9ykSZqcXGU1sY3lqWx7\nazStFGEGuKZMczdPROtzdrCEnwmOLrG5eZtdd5VOJU2jn+at1Ee0J0nySydYdT+GoWK5CrVuBiWs\nk/XX8N/vMvF8TMwAg48Sn/2cbYSAi+S5BANjQld79PUoq7ltVNFiMb5HQB2RpM2tX3xIvNCg+ltz\nbL26jRrVefnoLjfvPSJGF1U1CEd6bHKFEEN6doS6myEojIhEu9iazMdHn2dBPuZ0MkMyWuf7X32f\nEUHC0oDxMMqDO9/DVVw2O5dZZo+Cr8RUvIym6ljeBSllJbhLQBnT8hLoI42REeLht7+IgYb5MERr\nmGDq9gm33n5E5ckc13/mEyTd4XxvgVu/+AhHFwmlunzauMdRY4FzpomrLTTNYEAEMyux11whk6rj\nFyaYrp/a1+aYipxz+ukqca+D7vpYju1wuLnKD771ZRrf2eD0v/gt3F//dQ5/7Xf+4mr2/1I/Ep7y\nnyzP83rA14A7QE0QhByAIAh5oP7Ztj8d+Dz92dqfqcKv/Tu0/pO/R+F//LcJv3ub5dgepqpSP5ki\nfe2UmdAR3e0013PPUb0L/PwKu4StMX0vwu74EmUzxyo7jNwQlquw/JOvMSYapqLQceIXI7KpEyZu\ngFpvCrejMf2FfQYbEc7q85ytLzAbPmb0Is7NzAsibp+eFcNAI3f9iLNhkcRUg5n0KbYgY9oB5KFF\n00ihvjOkXUjgTlSWxT10V0PCIZs8RchbNJ9PM2wmONAXqS6l6dcShBiSSVTpt5NklBrzt3YYGUHi\nWhtN0TFqfrZq1wn4B1zLrHMynmO/vUqSFo1hlsFHFyDNcLzPVPScJilC8oBN6wpezOXsbJGhHUZx\nLfpimAJlpgJnmK98qLpJbuaEqNYjka9RcfNodYt0pIbjk3laeUD4TpOk0+J27hnKxEboCFxTXlEo\nHjKVPWcxtIuKQVzqcGgtcIOX1F9M80bsI76/9x5ZX43j9RXGlTAVO4/WsqnW8rgtH307ylF1CfDY\nGa+iOBZRr4eLSOr+OcrYoWxOYUsyS1M7BKb7TGwfIzeE4ph0j1PcvvuYs/MFErQZjcPUvQxvv/Ud\nSpMC0WCPVLiFUQ3w6cbbhPUh7XoavzBmULsYLPFrQ+ZX9vAzobi4x8PhOyR9HewACHiImoM3UNnU\nrzBwIxiCQuHmIWJXIqU2SUbaBIM6rWoKuS9guirzyhHWjITu+S/eLZDksLREROkhjx0GlQQtkkw8\njYaVRh8FOHFmaXZyF9Nvv1Di2vVPCDHk8oOXnI2LnHdmuel7gX3k500e4SCR91fZrl5jTAChJtEp\nJ4l1W1TIseA/pOrk0N7rcf5ygaEZYiG+T9XJgSUxKUfYcK9gOBqOIKJhMBRCF+FPREgLDQ47S8wX\nDwhpAyKzHZI0kW7oBJiA4lEeTTN3Z5eN9hXC0R5KZIyLRNA/xC+PuZN+QjBwAaj1EPH+rorfm9DZ\nyJIN1ZhVjtlqXGG1sM6lrzzHEDSWVzeolqdxkPAQmJ0/pPDFfTLvXebtv/N5tH/3b5H61f/oX0LW\n/vz6kRBlQRBSf9xZIQiCH/gS8JyLEOdf/mzbLwP/9LPj3wN+SRAEVRCEeWAZ+OTPe/bLp2+gaTr9\nQZTt6hVGBAhNRkSUATOc8vzVmywU9yk50wSEMdXfnePh6B3i0QbNTg5RtJl0I3z/oy+R1uqYdT/l\n8hzz0QOOjpfZr64wpxyxyjanTxeRdZeMVMW2ZK5+8QVaZsTirW12umvM3j5ge7LGaXeRmNhlfeMe\nriQQPRjii4w46xYZbsW5nn3Kj136HlFnwE+v/DNSwTrXMs8YWGGuyhu0J3F00Uf51RwLb28yaoWQ\nFYuQMsSnDhgQZlopoQckGqQo784ydMLUjCwJoUU+e07ocMDl7CtOOvP0RzEWkru8cm4w5S8z+6Vd\nFCz6lQRiT6BHlLPxDFG3T9pqEE63uaRsook688oRZaY4c4vMvLvP5lfvUD0ucjRZIBgcEnBHGH4N\nV4M0deYzOyiajRHw0/OirMxsMo75KZOnVJ0hJTXZ7VwhRo8QQzTJZHt0mXSxzodn75FYquEgEYl1\n8ReGTCvntP1RMndLhFId/PIEQfdo2Bn0YYjy9hyH5jw1J8v5by8xkz28yOEdhxgJQQZ2BMeR8USR\n675XyKrLx2dvMTV9wovGbSpalvF2jLJTIOrrEVRHJGkRSvZYuLLJi9d3GQYDnHxjmfvTDwEBzxEx\nR36Ouws4jozkukTVLjFfn+EgxEJyj7tTj6iuF8k4NehItBo5Itk29VqOhNem+0GGaK5LtnBK9WSW\n7eY1irMnzEonuIj4HZ1Qc4iKCWkbS1Qwuz5Wfbv4TBNZM6n+/izpeOUit6OSYet3b2Cicrq3SEgb\nMTIjPDduUVg5vginJ0h5NMViaJfeKM7azGtMw4e5LFI7n0bBYkKQfKDK2rVXSKrNXPQAS1Tw+SaE\no0NwoOGlSDktLoJFFdrjBE07xbMXb6NqFo4ncWLPIgcM2maSdKiOGHCxehrF4AkZsYb3+z6kgYfb\nV6k4UwgFi3KzyKv+DXwhncEkjIpJ7j8usfkbN0hk6gzNIKLrMhs+QsClKJxy3FpiGAzgiw0ZCCHO\nBkXqVo7S+iK10ym+/+RLhOfb9MXQ/2eR++P6UfGU88B3PvOUHwO/73net4G/DXxJEIRd4L3PzvE8\nbxP4h1yEPf8B8B9+Zm/82UrauKpIT4rhyS4jQiRDDeSCzlAIEbtWRQ3pVI6mOR7N8c7PfYNosI2B\nxrXEc2qVaazv+jCyfvZfXcafGyIkTRK0UdJjrIGfR9/7In90+hUiNxsM7ABlNY+OjzF+smKNAWHm\nY4ecjotc8W8QDnXoSVHmrmyTkRoYswoaBldjr5m7vktPiDIixEF5jZfeTTpunBpZ9v5ojRIFptQy\nfm3C6p11IvTRcn0WpCMEycM+CDLNOTvjVfzTIyonM9y/9JCR62dKK6Pjp+6lSL9Z5pOHn0ffCl+I\nHybz0hGEXFqDDJ+07nNz5gnRVBs/EzKBOj0tyPFgjt5Oji3rMo1Bho8bb+JnwpXQKw7Plln9hefI\nQxdXgXY9iyabBKMDLEmhJEyx9ekdmh9OkU2U8ATY6l7G2dHoE2E6f0yNLDcTn/KQt+hw0aN72J5n\nIbNDvFBHke2L9rK4yLxwxNPXP0Yy2aJ2OIMaN/Chszi/S0TuYzX9ZFfP6bzKUZTOYEmgIuaRsZkL\nHBJ1e1yRN7BKAbqtGN/a+tcwRZVYrk2eCtfSLwhJQ0ZaCEFyqbSLrP/v93n8f3yBglaibSSQLht0\ntnO4lwQ+/I0vEWSIX5owGoSZbETwJJiJHPFyeIOJXySg6+hoPO6+QeZmiWCmz1J+BzFscFqdxx8e\nUbdzXP6pp+yu36C+VcRtyhgbfjY+uIuAiw8dW5JpV9IXQmn7idBDjNk0SHNmFAgqI7I/c0qUPmeP\nVggs9Qh+pUO5XkRVDSxJIZ6qMfogSkeMIwkOE/w0vjaDHDVJ+FtM8LOyuMFacBv7qULbTZB26vjQ\nCYhjusR42H6buNBBd3xICYNyeQbB9JgoPk6OV/FeS4QDfZbkfWZu7qCpE4ZuiLTZZCW+R0ztsr1/\ng4ntZ/y1CB3iHLBI6m+UkMIW9248RBFN/NKYyaMYtyPP8AsTov4eLTOJFpww/StHyKkLuk1NzHIy\nnqXam+Y5t4gGOghNmX43Q0Zo8CD8CF0PwOYFIUhaGNOs5ZjJHP1QhA5+RDxlz/PWPc+77XneTc/z\nrnue999/tt72PO/HPc9b8Tzvfc/zun/inl//LOx5zfO8P/rnPfvW/BMmwwCJSIt3Uh+Qoc5ZdQEG\nEgnaRBgwcgOsLG4xFSzz7OgBWers/tF1XjVuwLZIbLGFP9FDWxhw+mKBgDzieLCIJ0mo2TGBuy08\nS6Vzkmdq+hzNMZn0Q7i6QpQeE93H0A0RjvbZMi4haxaap1OuFamO8vSqKcrDKbpujN3SFbp6nCg9\nFpc3MccaOaqIuCiXbI7P5xkaUXyWjoPE8WQOwRFpkqSglkjdqNK14sSUDmm3gdiGA3cBb6BwUF6B\nCejNEBvP73Dn7Q+ZqEGy6RIlp4CLyAKHF9SNuswn//BtqoM8Jy+W8BDQn0bo76aJzVdB8iiEz/Gr\nY4KM2Dq8gYKLafmw8y5Ru48sT1hhl24nTlTo0tgsMnttl5Wffsnph8uUazMMHqeR/Rbt11PUtmYw\nJhplprjJSyTDpdVLE4hOKDlT9AZRxoMAZs2Hh0uLJA+ufhfr3wqwuraO2rMo/cE8r5s3cDwRdyAw\nFvzEr9U5Ol0i84VjRMND6MFuY43dylWetB8wd2kH+3mIzOoJPv8IY6LxsnUDBwlj4iOs9ek24wgB\nE/97PeJfqvL41dsElTGjj2IU7h5QnDrk+n/wmAFhJqIPPSKz8tY6EyfAyfk8nicQknXMmMzR6TLL\niT1KtSIhRhxOFvD5JiiiieS3sRyJzfXbxAoNxtUAX7z/VXzjMbk3jmkTR8CjO4ihfH7MUXuBrFJH\niFt0OglOjpcRGio+dBrjNE/PH0AbioEzXEdkJnNIdK6F4ln0hjHEyy4poYGDRIgRufdPKY2n8UTY\nGa9guSolCtz6ucekxCY7j29goSBjcf7hCsXYGbvtVTKxKsrAxfeHBuFonwIlsnMn2JdEBGCvvkr9\ncJqo2EOyHDxZYNdcodNLEEx1CGlD9Ls+hp0I406AyTDAaBKmfjSFX5ggew733vuARi/DqB+iZ0XR\nVJ3NxzcpUCIoD1FECwONB4mPqR/lyTh10v4aI9nPfG6bBmle9m9zeeo5a7/0HFmzKUTKjPciON4P\nTyR/ZFri/lXVTvUqEa2HHDLYbl+h48ZJ5S6mq6pmllqrwGgY4bwyx/HBMnLQxEYi/cVziulT7vzk\nR4yyAeShh933E7nSIidVCU7GILikAnV03Ucg0WN2bp+cWKUQPMMXHtM0ExyMFlFkh7jQIWb1ySo1\nunqciN1nLfua5id5PB+kQw3GYoBMqowrC3zn0U/QHcQZiiEOhku0+hl6W0kCqkHLTRBQRhdEkXYM\nUbUYGmFk0UYVTXRFJar0ifs7rN56RVTsMRs94dLUa1peAilgMXNjl6PmCsHZLjIOjilTsqbZsi6x\nGNgjG29Q/MVD4uEWZlGgPwnDTYt7Dz6ks50mJvbQ8VMIl3j68dsII5d88QRBcVlJbtPppLidecp3\njPewbY16Y4rlq6+R/SaVrRkil9uoI5Pw5xoE5vqE011En8O0ck7IHdAngqYZeJLI1cgr6u08gi4j\nOR6JbJO58DE9J8qBsUj/70TwoXP+ehb3HYdsssx5bYHU7TK+cxsXgehMC3nsEKeDHLXAELld+BhL\nUJADJsW7h7Q304QiPYbtOGYvzEb1On7/mELuCENR0USLFWGXxfQu15efY1oq8k2doRFCGgrU63k8\nBKSRhyzZNMtZUlKT1ektAkOdpeAOtiUTSAyo6VnuTz/iUF/EsyT0kY9gaECIEbOBY3zFLrYrYZV8\nvNKvI962kcc2HiI2MpfDm1htH35tjBIwsU2VrK+GY0hcufqM4TDCcmAPuypy46c/plXJMBs4ZmBH\nmOGUrFAjHmnhhlxelm5joGEjUX0+TVgaEGJI5HSMzzYRBZed+mXWT27iDwwoHc1yvjvH7JUdRNHh\nSuI1xsCHLcPav7/O+aeLPJvcoVXP4koiDARSyTpzc7vsPLxBx47R7abQzQAjOcjECXD+m8vcWPuE\nRLTJYuyASTlIqVckOVVn7+F1DFejqucxFBXHUZlVTrAdhdX763zwX32RkROmToYoPU69InM3d6iT\noWbk6B/GCWpD/KaOGtTpenHGBPAJJr2zJKv316k2pn9omvOjYl/8K6uFzDb1zWlq51OMTD8H37lC\njwivfnCH4/9hjf5vJ4lF2oz3w4SKHZSgyUl7majQpW6nedW6QWahwuh/ieCP9+jVUui2xlTmFL0T\nIam2mE2fkI7W6U8ivK7f4NBaIKz00YIGV4IbjPpBXn71DXRNo+mk8I1tdNnPVusy0bcaFIuH1KrT\nNLemoS8hiQ5fePMb9M9TOILIbPCYbLCC716f3u8kSYUaHOqLiJpLPnrOm6GPSWlNnpXvcPw7K/jR\naVTyaBiAgIZJS4mho3En8IyFqX1C7phUuIqmjrCQSYptZNmi//0k4BGOdjEFlfYgRTzRZmKGcEyZ\np//r28zf2SVOhx5RQgy5/eAhxoxKpTeFhULLTRFLN/m0/Bbdkxy9J3GW0jsYrsbR2Qo3Lj3BFxqz\nurCFKLuUT2YIxvu4aQ9LVDg4usQ055SZYip0xqk3w2z8GDU8JhLr4nN0xgQISiO6pRyibLI7XuHu\nm4+JhToE7THJTAVzqBKbbRIV+zQGGbSgwZE9h4fAYn4H0XHRD0MExDHnrVmyV8uEtCHFmQO81wK3\nck85ebLKcX8O21RpbOUpMcP26BIHxhKBikEmUEMWHHqE8TwuoKbBLGGpT2aqQnLYZs9YpmOm6BFl\nNnSCJDsoOPS8KCF1gBSwWAntYcsyG0/u0PTSmK0AsVCL9L95yopvl9WpTQr+EifWLAIebS+Blhkz\n0MMk3Db+wJj6IIdyaqMKJqFQnzADLt19/X+z96YxsqXnfd/v7HVO7fvSXdV79923WTgznOEiidpM\niUps2FEkSJGUKHISIAECOAmCIHIMJBEQIAbsgIFh2JaURJQlQzIphRFJDWc4nOXOvXfunbv0vb3v\nVd21b6fq7CcfmhYcI4xIceQBjPyB50MdVBXeL/XHW+/7f34P2+0VlsqbrO/fouFWOLVKjIMY9W8v\nkIl38F83yNNCxkdcseiHKZphAfGCS90pMcc+hUKDytwRdlFBq5l0Psjj6hKGY1GmQeP2POlYj66b\nZeX5JxT1U1ZTz0j5fSZBjNYkz6x4zI1PvUdMmlApHCCFHu7DCPHokNlf3GSjcxFL1M7z9JEIPgL3\ntl9ELdtMzDjpbBsdm2zqO/8cBZeU0Kf4Xx+haA5pv8/jg+cwg9j5hkE6IS33mH1xB1+QWH96FU+Q\nyQrncdBpP8awl8HTJIr5/9ecwF9I/0YcX/xl6qCzQOArJJN9jLxJ+jMNznZqFK/W0f6GRfwX26g4\npF48Y17dR4j4+Jsijqcx6ca4nr1PJuzyyt95nZg04cLsY0Q54GFwjavFe6z/vesAGMIYjADPUSjL\nDRonNQzJ5PboZQJJQPvkkM5JgfGTDJlok6mv427oDF/P051kEAIf576KEHfJi03eHb9MdL5LTupw\neDbPMIzjyyI3/9N3af3GLJMPU8QZcvrFOZ5ZF/F8mZuVD1j6lcdsHl/l+NE86+ZF4oy4f/tlJrbB\nxvYNXr/3k5y1ZzgY1pAVl2LiDA+FQIWkMEB9bsKdwQtU9UNa4zzV+CGTd9JM78WZtNIUfuGQkRQH\nIM6IqW+w7yygR8Zczz7gAs/oNHKYTgwlOmFxfp1wLHHycI6umaUwU+dO4xUOPlyhTpkwFAhNgUGQ\nYkHdRRMtlNkJIgFz4QFWqCGHHkIQkjNaHNUXsQSNw28v4aIQq7XJRjsUjCa7/gIyHn0lwXGrxlJ6\nm4mr0yGNornEgyGXouskgwGeJHN7+9O88tw36VoZLi4/4OSgytQyON5aQrnh8u72p8ndPGY5tY0Q\nBqTXWmQKpwSOyFJ0m6ZQQPJ9xElI5+0KZ3dr6ExZZYus3MEVZO61X6L7QYXAlRiESTpkEIWAUAsZ\nOwmkIEDGxwoipJQ+1158nxQDCnN1BC2k9bjKkVfjydlVbv/Jp7ip3MdFISEMcT0ZSfB5PL6CoZgE\nbYXEp1t8+PAFTinSJsehVwNB4vbbn2ZufhPXlth8fIVBkERdndJ8PIP0gotFhDRdZotHXIk8pNPJ\ncvqsytBKcHf4PKdfq3L2YIb5yi4iId4nzlvKG2qJrx1+nhdf/Raup5BUejiewtP1qxz4NXxJIhtt\nEolb3Gu9gIlBRJxy4s4QSiGZF5voEZOJF6USOyHBiGdPrnO58pCUPCIwNRKJFpoxYeCl2N1bo3dY\nZmPvMrLo8c7BJwn2Iux/8SLbp6t4dZWYZ2KO4/TcNI9OrjG1dDbba2g1k5gw4v7x81hBhHTljNz8\nKfWtedTQ+cg859+I9MVfprK5NqJiEahgtpNkwi7JWgvkkFLpkGh8dH5eauqcBQUa78yTeKHLwExT\nSR3zaHCNg5Ml1q1L2LKKFUSYYtB6p0YoiKhxBynw2X52CckMoQ6BLxFThgzMDIpoU00esRzfwvV1\nUpea6IZJXm3ywkvv8vJPvEEiGJMqdYj+2AAjMqHuzqCehMT0ET0zw0plg5zcIsaExqMZpr8o8/In\n3sQ8SzD7H+0wkXTaToE9c4GJaGBEh+ReO8YaxDmlxNJzT5Blj1zxGLFsM2lHETsip16J0BVwXJXt\n2+dGHouPsO5n2PRXGX07x4lfQb854PoP3eHqyh1avzeDfRhjkV2cUMWQTGLKmAvaM54OLvLN1g+R\nKXaIqWPUpMXu/css/9XHGBeHLMR3WZB2kWyX5StPIIQZ9YRI2ULyHZ4dXuVJ8xp5tUWPFD0vQ6+b\n42hrCVW1cUKViDwhK3ZZfPUZYhAwL+3Tn2ZpnZQR3YAYY7q9LNIoRMYjqkwYdDNU1DqtIM+T/RvI\n4vlloaTarLevUj+bZ3e4xHNzd7BOdPKrJ1TL25QyJ5z9H7M0xwUES8Brqoz8OC+k7+ApIpfmH5Ey\neghCQO6zDTKvnJKhw5gYnSDLSWcO63aU5ZtPyGZOiQljTt5aAgnKQoOM2iYp92kdlDlzikwdg536\nKqZgEFXGWM45erN+Oke20ERccjmiioRPkwJx02Qxs0NUmpBRusxc2sV5GkWfGaM4Ht1GkdbrVfTT\nKdnVM7pm5pxhPTtEkV0MY4yWdsgsNphg4KAR+gIbwRqpVJ/EUoebufvMJE648KMPqVSOMZ0onc0K\npeoh/lhl2Mwwn9niUKoxOE2fU/JCg+rMPjHTwp2qqLIDWxKF/CnjTgrNdNGZ4gkKghRSocH0JMHO\nNy/Qn6YJJZF6o4Yan5K5eMxiboekOKDzuIDzRgQ/BoWFOq6tIQoi4oxD9m80kNyQhZee4CMR6dv0\nWgV0z2LSTVFKN0hFemy2LlHRTtjbW6F+WMOPCITjkO4w/5F5zr9OUxYEYUEQhH8oCMLvfb+f/dhM\neRzEqa3u455GcPYidBplPFcmqQxojUsMOulzyPxOjJhgomYs2gcVLEnh4MkqUgvKlSNykTZaYFEf\nVdj55hWkeYczv0jy59vst5ZQxCmWr7P4/CauLDM3s4MRGaO7FqdmEV+RqM5vY26nOZ7UqHsztIQ8\nphvjtDtD2yowPkjhBBqj7RSjfITG1iJjJ8mhPce+tYAWnxArjLlevM/rT36SSHqKj8SwnUayfGaV\nEyZWlHz6FPNZgmLxhNODCtHQpH+vSP/3S8T1IUsXnuEkZDTV4mhjmZEfJzXfRrs65vioxsUXH9Ay\nc+Q+d8yitEegiJw5JXaOV1Fe9ZDjNlusEBEsJqLB6CjLlrdCRLXwz6LYnkZzUMSzVfBCGqczuAMV\nCZ89f4FcsoWoBJSEU+rmLILmMfGirCw/QYnYCM45xU0IQrLZJtFajyc7t/CQMcMYY6Lsbl5kOoxh\n+yqpbJu1mSf4gczW1hWupT/EbsTYNNeY4ZjPlF5n0EzhuhGq87uYYRTXV0iUu5RyJyzMbRCYEj03\njS1HiPsjDnrzyKpL5a/vU442CNM+StmGY5k+KRqjWZ4dX2EiG8hJh8h0ih8KDEmSoUtEtIhHBmiv\nTpAkH9OLMwkNSi8dIMseD568gCOcX/iUFw/RsBmtp1EzNgcbyzT2F0hoQxIMsf97g24jh5RySXl9\nFFxOxyUmqsH6xo3zBgxboxocM5LjiJ6Pr0iYaoSlzz1BWnaYy+/gDCP4okCu2GQwTqIZFlp2TOtu\nDRkPkQDL0okzJphIjFspTKJMPQM71Ogm0yxE9hCUgP5Jnu52gUuFhxx25whCAT8DSuiSEXvkhTah\nFqLpFh4yVl6hTJ3+ozSbh5dJyz38ocTezgrtIMdzc++hLHpIskf1whZaeYwku8iGj43K5uOrxOeH\nFH/tgDDqM+hm0bUxV2sfYHcNYtEhMwt75+miJxV2+muIeZulxQ1ypQY9N008nPCpwjdxFBU1N+Gz\nC1/H66iUbh4zkOMfmef86zTlMAz3wjD89/8in/3YTLkkNogGJqlqF3dGpFg9IqkPaAp5zEYaWbcJ\nELn04gNSQh854VNcPCQb76DUTOLLPZ4dXGP7bJlGq8ps4ojMK3VSMy2cQON0vUaq0GGa1hEiHod7\nK2jYfFi/SUwaM47EmIk2OPpvFrAtHe3iiIzRJj0dcnC8xFgx+OTCN/EsEfFxwMHjVfTFMTcz9/nE\nypukxB7dYYqM1sVQJugFkw/3PsH1y7fZuHMdI2oSTQ85Pa7QU1NYwwiur7B2Yx1Z8rgx9wFPtq6i\nFCxe+qU3zqNqZpas0aXZLGLqMRLeCClroYUOWsxlYMSxH6XoNvIcUWXwtMjATWCJEZK1Jsl4D51z\nzoNJlMXZZzS2FshoHS5cvk+/l0I0RUTFI/FcE/PrGWLZEfVghl4/Qzrd4fjdJe4cvIisOhjxCWrE\n4ekf3iQT6xJa0vn0EK1LBBtBDEnNniHhYz+OkWJAaeUALwJnQolWJ8+AJGZg4KgSe84iS68+pvdj\nJW47L3F7+AnstMrE1WibORwUkkKftcgGm9++xOlmFdvTMRSTWGGAIrtcKDylG6Y4+dYKbT9PVuvR\n/GaV1lkJCQ9Rc7kw85idu5fI9vtEM0PGVgIVh1F4nqEduO+1cbMAACAASURBVHFuztymJ6VIJHpk\nhC5WGOGsV2LpwjOUwOHJ4+c5erSCF5HOSXqRPuG6xEvzb+CGMnd//TWUvz0iU26jxScghwiE3Ig9\nIAgksgunZIwOY9XgrZMfBl3kWvE+C8Iegwd5DExQQk4pYQUa+sTBa2qU9VNSUp9MpItcM3mXl3CR\nEaQAiwiZRAfRPE+Z6sGEvfoywbGCjEd2uc5CbYviC0cchVWSlR7N+3PMp/fZ3LxGU8hzb/8FEvEe\nAQI2GhXplDZ5Mq82qVzf48HWTWKVEd4ggtmP8/Y/+xHmVrboC2mOdpdpvlWjt12ktV6jSZHkWpPB\nKI0iuEhuwFxmhwCJLhlSMy2a/Qr5oE1a6FG4csLa5YeMezGeNq9w+P4i02cptncunR/1pMbMxQ+Y\nhDrDQfKcJxIdfWSeY6N9T/XdJAjCPxIE4UwQhEf/yvMf/w4Vc0sQhP/iB13nx2bK+7urnIVlhBHn\nYCCiWBODjNaldnkD+1Rn9+QCh+YcDzvXMUp9TDeGIUwwFItRPYUWTkhEx1SiJ0wtnemjBErg0u+l\nyV1sUBCaON9MMLyfR8Zh5/gSyuScI+H0ImyerRH8mkB3mqIonLHx1ZscHC8idAV6boZTv4w91gk+\nGZBdaRAVTR70bvD+s9ewBhGqep29//0SIzeOKUSJJ9vsmovMvfQMN1QY/FEBNW8xMaMUiqe02gVO\ngxJK22dEjOuX7pOZa/L21z/DQmwPQfCRVIdgGmFh8SmJ2ACzH+ekXiMYgX2gk79SR0tNOWrVyK6d\nkI+2iGBxdneeoZDg/fVPomFjh+cZ4+tL73O0v0gwUcimuriyQredw34rzrVfuE3TK5ASeyiyy8nO\nHLOvbVOZO8YaxSiKp7idKIEvcvxombP++WTlk2GVp8dXCBwRz9ZonVWIL/XpkCXKhPHtFN3tAuVM\ng43fv8FqcgPekbF7UVxP5fq338P84zS4MolgRCHWwhIihIggnpuFFA8wB0nmKtuouEz8KE/fvcXu\ncAlNcMm9fEz9jUXq2wtUfnQXacZls3sRVfDYtpdQ8i7jxPk4Jl20cJFx6xGedS8TdiLYoUaCIbo6\n5eGdTxBnRCnZ4HhY49E/fB7FspDSNnFhjBY4nLVmKf/EAa+//nnckU7sZ7skZJPjvQXGj7K4oQqE\n7DkLDJ9kaB3OcvJ4nolvkMw3EWNT3mm8xtbJBZY/+5hBkKL5aAZhJKC1AvwEDCZpdjorbDVW6HQK\nzJYO+TTfQsZDkT3qh3NEsMgvntA2c2w/vYaWnpJc7PCoex2pDQfTeZakHSKCxWg9S0LqsdFeIzrb\nPZ+zWJkiEmKEU0QCenqSrd3LnKzPE5gyt5bvMtzNcfHWBwQpeP7ffovmoET3WQmj2GP5M4+ore2g\nFYd4yPTqeaLZITmxxdCKM/Jj+L7EoJui1SgjWAJjMcqYGL1RlsakjDcwUGyP2ks7BHkPKTKhN8nS\nNbOc/m6N93dfobBUZ2P9Op1W4SPznI9gp/yPOadf/pkEQZCAv/+d55eAnxUE4eIPss6PzZQnYoSB\nGUMyHKSnLs1BHkOcMLCSnNRriEnQTydkjA72XhRFdolIFk6ooRg2kdwEMe2DGiDFXQJPwbg4QJMs\n8kaL0SBBx80ifWrC8mtPIOVjd1QKs6eYBwkcVPLpJtLIJ3gaYf3BLWqvbLF8cR08CTEIkCQPzQxg\nXSHclYgpI/z3IsjYTBPn7dzkQiTJp3E8iyVpBFMVQQrYvXcJ5gJEAkadLN2zEq6j0x8n2XWWcNDY\n3L+M62rMfW6L41GVQJI4+Moqhjtm/401jsZVBNWjUDzl4uJjEpU+Zw+rxPQx7l6c07tzNNqzBKJM\npDii82QWIztBwifiW6iizdBKMLu4Ty9I0dqoslDZIHiikP7cGZNpjP52gc1vXSMbbxHmwLIN6t9Y\nRpQ8zoZlxKmP9qqJoPkkCl1GxMgk2hjyFOskRlZr4fREvKnI1u5FBkGS5JUBlxcecvRkgcrP7OCi\ngi/Qez9H66jMqVci+dNN7EaERm+WnpMhp7cJQwEXmQf151BrE5KVJlJf4NipMvmdDDMXd3k18Rb9\n7QJhBC5+7h56dETz/Qr2iYGgBpzerzITqWOfauy9eQGzr5ModQEBY2ZILBiTrTa4/49eoXVaRhFd\ntNqIxu4cKbFH2BJhTcKPikj9EA+Z6WYC1ZhyfH+J6me30OITZtYOsL5uIHgCiCKaYCEQIok+4oJD\nfuaI2cU9/HaE3m4B/3+LUSw06LTy7O8u0Zlmmb+0Rc/NYMwP6H1QxgpUJNkHQUbwQyzrfNyZisvJ\n+iKR5JhBmCQj9bDQQfUZ3Mtx8nSO3laJWK5PXmvyoHuLkRln9uoudlLFfZxgPrpH4It4d6OcdKv0\nhDQ2KrLsoWRMsCSmgyj3/+AlShcOOGotMGymuPO3XyMR60NfBF9gp3ERFQddnDJ8M0su12TUTaF4\nLov5XZLSEGyRbKYNB5CZr/N09watsxIJdUhK7XNx5QGeLDMYpcnNNNESNouFbQr6Kf1LGYSJyOl2\njeLiAflM4yPznB/UlMMwfItzSua/rBeB7TAM98MwdIEvAV/4DnP+fwVufL+7549v8shUJlPsslO/\niHgzxDuI0xOT6NIE/8d0ipETUlfamG4MeXFKc3sOzXdwkdFkGyEMyKWaqLLNaJCkN84SKAL9VgZH\nkbAtnU69wmrhGdsfXMUcxDHKA0TNZ6glCN7T8FWR2oU9si/Vicz1OfrqMs/Wr4EWYJqx8xv4mon2\nSp/q5X3adgHpJQulNqWQaTDyY0RvdemP0lybvc/15IdoaZOjnSXS1xuQklAlh6XaOl4okpjpIB8I\nhAOZvYNFknMt+oMke29eJhPvIEghsz+1gxVECccSfigz+YMc7ScVHjx+GUV2ufjaB2hTl0hlRPG5\nI6y7CVTDxDNVcpePiBc7jIiTCEccTWrICQfHU1FiFpLg0hjNsPSZDc42auydrnL54n3iN9t0rRxO\nqHA2LiJfH2FOY3QP8wglB02fEvZkhlKcM4o4voo9jhDIIseDWVwhyurqOood0niwgCDB3nSRypVD\n+u0UfT9N9ec30V4aMl1PMDRTDJspgnFIXBpiDqLs37nAeBJHJCT8tkrCGDB+PcMwEUUSXHK/coSc\nsPna/l8hOd/EkE3qo1kqpSM8SSU520NSfMhyzvu9ts/aZx+h16akpwMsIph7STK5FqrqIN338BSJ\niauzVlynMFvncDqPtZ9AXhkT2gL2nkEYiCSvtQkEgdWXHzJxdE7vV2k1Zoj/VI/qwg6K59Amj0TA\ngryHbAW0TqscjWp0t4uEqszMf7yDgkt6rUksP0SWPY6PFxgfJcnrLeY/+QzvDw0isQm17B7pYpuz\nO3N8yHVGxBE+BOvtJL1pmrpTwR7plFcPiFTHRAyL6HKb7eNVzqZFFN2m96UK+60FXFnFuNHl4eMX\nOX6wxNKPrxNLjJgEOjpT9t9aYz61T/xSl8FGDvWVKa6jAT7x4oDqf7uFIjmIRRfPk1iZWeewsYg5\nSOGsiPiygPUwRpsc20cXzlGwxhDF9rBWZQJPwhCnBGrIUIphKCbP/udbOEMVTxLRmeIME2xsXWPr\n2RUK1w7QakPUiEWnm6f5bO4js5zvlksev3GP9q9/8c/q+9QMcPQvvT4GZr7TYPdrYRiuhGH4G9/P\nF35spixnpnT285Rrh+izA3LLJ1gDA81z0b425uDNixz/wQKS4yN6IaszD3GHChHP5vDDFWraEdPT\nKK23q6TUHtZ+HFH0kTMuZ49r3Kq+j5iYcjKZQSmbRNJjSoUGZ0+ruKZO7ac28GyZrScXUQIP64+T\n6M/3KS8dIpUnBCI8/nsvIEoBrqWy01lmOoqymt5EDnyOd1eYnKYw17NM/mmGux98grvvvcLgNIuK\nTffRDGJsyngSZ+PwEsVUA38qIS06CGWboGVgBTrBkU7xtT0OThfoHRUYjRNIwpRrP337/FLw5/a5\nevUu5bkD9k9XOezXmBoaetRkME0gJX0m/SjZ+VMEIUQJPQQvoCnnkbs+Jw8XON5cIggkfFXCCTQa\n36gRRjxqS5scjmqEU4GIMiWcyMxl97iRf0DYk0nM9BntFTBHBvqlLmY9zid4H0nwiQgTLi9/iBAI\nzF7YYb+/wOzFbfJXjphL7XAp+ZjTD2qk3CFpqYM9iWBvpXj+82/hdlXyiTaReYt0vo2qOggOJKLn\ngKLSX9vHk2Wif6VH5+4sp1vztN+sclKvsjr/BEV3mAwTKIZN0y2iV01E3SGjtamUDth6dA3b0+g6\nWayxwdbZMg4qXlyi+bRC/WyWzP/YYOpouJ0I6795k5g+RNdNaj+ygeJ4yHmPlZ9+SFmsk0j2CUOB\n7a9exmobhPMe6fIZzWdVpDDANVTKYQORgIfWVaLamHAgAQqzL2+RrLRRFRsp9PFlkUmgk9Z6lCpH\nGOqIjfYa9WfzCF/w8KcSlqXjBCrUHD7LN4likvi5M4KMRODIaIrNjdI9eqM0iZkBkdkx0z9Kkc22\nkZ0At23A88BEJggEynqD7FIdJWFx1i4xJ+1TFk8RAGVlwuOTq/hTGXnNZKX8jME3sgSPVAig+fUq\ne/UVFlbO2Sjbzy4RL3SJbo5RDYvx/TTJz55RlhvkUmechUW6m3kabpGUOqB/nGcSREgkBozOMoz9\nOPH/sEmoqGg4tP9oBl8KWV56DMcwnRpIYkgkMkUMfcTK5M9xku9d3y2XrHzmFeK//p/9WX2f+v8i\nZP6F9LGZctQYE3gqrc0yvQcVZMPFbRrsHy2TK53Ckk94Q0SPTBB+V6QelmmJRcaPkoRWyJ1nr+Ih\nE5Yktl+/wsWXP0ARXMZ7KZSEQ4s8WaGHqAWIto+uT9l7uoKWNbm19C4Hb18EAWbnD/E8BXHNw+1H\nQAxxHyRIRwYIP+KgjTyC2wYqHroy4dHDFxm0MmQqp8iGQ/xSFyKQu3SGvOwgei56eowctTBCh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KRKtNOLy3QrgQgClw8MYFnCMNdWaCo8lIko++3CfwRZZfeURBPSPMOIRDGTHlIKx5dHbLhLJE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\nUUlZURSlgqikrCiKUkFUUlYURakg/w8dv2Ev7ul5dAAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x7f75729d11d0>"
]
}
],
"prompt_number": 124
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Compute TDOA for Each Window"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from numpy import concatenate\n",
"from numpy.fft import ifft, fft\n",
"\n",
"\n",
"def tdoa2(x0, x1):\n",
" y = real(ifft(fft(x0)*conjugate(fft(x1))))\n",
" right = y[0:len(y)/2]\n",
" left = y[len(y)/2:-1]\n",
" correlated = concatenate([left, right])\n",
" \n",
" center = len(correlated)/2\n",
" max_index = argmax(correlated)\n",
" offset = max_index - center\n",
" \n",
" return offset"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 9
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from itertools import combinations\n",
"\n",
"tdoa_list = [[tdoa2(win1, win2) for win1, win2 in zip(a, b)]\n",
" for a,b in combinations(map(windows, xs), r=2)]\n",
"\n",
"tdoas = vstack(tdoa_list)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 52
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Compute Covariance of TDOAs of the 4 channels\n",
"\n",
"Treating the time delay of a channel as a random variable.\n",
"- 6 ways to combine the channels\n",
"- Results in a $6\\times 6$ covariance matrix"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"covar = cov(tdoas)\n",
"pcolor(covar)\n",
"colorbar()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 121,
"text": [
"<matplotlib.colorbar.Colorbar at 0x7f7572a34978>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAWIAAAEACAYAAACJYHwrAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n7L2SO4C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"text": [
"<matplotlib.figure.Figure at 0x7f7571cc19e8>"
]
}
],
"prompt_number": 121
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The covariance seems to be almost completely diagonal (which is not what I expected given that the 4 mics are connected to the same system)\n",
"\n",
"- The mics usually read silence, thus the background noise (which is probably not correlated) dominates the random variable"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Restricting to High Energy Windows\n",
"\n",
"Windows with high energy ought to be correlated because the wave travels to all 4 mics.\n",
"If background noise is really the problem, then focusing to these windows should show much larger coorelation"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"z = vstack([y for spec, y in zip(specs[0].T, tdoas.T) if mean(spec) > 500])"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 119
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"covar = cov(z.T)\n",
"pcolor(covar)\n",
"colorbar()\n",
"show()\n",
"\n",
"pcolor(abs(covar))\n",
"colorbar()\n",
"show()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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mLANIb9raAPRHxOfzjicLSW+qvtVL0nlUJuvvzjeqxiLi0xGxICIWUpnL+oOI\nGPX1kXmSdL6kGen8AmApUOgZSxFxFDgs6dJUdB3wTI4hlUbLL/0v40IXSVuAdwNvlHQY+ExEfDXn\nsEZyNfAh4KeSqolubc2E+SKaC2yUdA6VTsDmiPj+KPcUSRmG8WYD30wLLqYCX4uI7fmGlMmfA19L\nnbqfAx/JOZ5S8GIWM7MCa2sxi5mZjS8naTOzAnOSNjMrMCdpM7MCc5I2MyswJ2kzswJzkjYzKzAn\naTOzAvv/2SqJ86EpImkAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x7f75729c8588>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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"text": [
"<matplotlib.figure.Figure at 0x7f7572861fd0>"
]
}
],
"prompt_number": 123
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The magnitudes of the covariances are non trivial between mics!"
]
}
],
"metadata": {}
}
]
}
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