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Last active December 29, 2016 19:36
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hash_tuple vs. hash_incremental
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# hash_tuple vs. hash_incremental"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"%matplotlib inline"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"import matplotlib.pyplot as plt\n",
"import numpy as np\n",
"from functools import reduce"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def hash_tuple(it):\n",
" return hash(tuple(it))"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def hash_incremental(it):\n",
" return reduce(lambda h, i: hash((h, i)), it)"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"MAX = 2**32\n",
"SIZE = (10**3, 2**16)\n",
"\n",
"rs = np.random.randint(MAX, size=SIZE)"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x12267f1d0>]"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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ZCTR2pihT9lIVbJ1RW6urfcc/i0PEtB2nZ2bIQxCEkg72wpoH6cjz4mejsWFlh4k2oNfr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\n8P8BtB1TiNenY7oAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1031981d0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"ht = np.array([hash_tuple(row) for row in rs])\n",
"plt.plot(ht, 'ro')"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x12285e910>]"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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WZZAAbYNMC7uoL2tS5SrT0WmO6XCdgEboMBGQa9Bo1SZUuYx26mqGnLneKgq2g/u+zlWA\nLU9Ps16v5/y8WJaGJgRw+cbzpNCCdcxj4CAcuKYVhtIf9WJuYnyEjZarpM9UcWUhpc1N7tR9jPrP\nJBT8XYS+1Lxcpt+qsyZtqds6Os3ZK64T0AgdMYWBqk2osvYQS2I2XTa3RoV7ZF/nHYCtTE9X7poQ\nkdp3b3u3r8k/hRZsosVQ4UD37F2EmaRtF3O/329sASYRJndXavqMHVcWQ4AxFcLjP6sJhA55HjFb\nSPjycpl+B0jTb8dEgzb60NFprtPhOgGDpSOWMFClCVWlPej6E1C0KRtz4SZHU1+DPaAxqX9Nb4ol\nIrYWbLuYd+EXMGp7tq2SKjWrRmR4F7pdtr6ycijALjTLpgkIaYpmQkweFFOAse3ZuU6H9JyQNXMR\n+lLycldLB5WeKQKiT/M+jlyR1HUCxJiOEFRpQtVpDzzN6zKGQYHU6pAm5tLr9djl06fZOuGAHKXU\nv5gINfnH1oJN4+kD7FS77UWng8HA+mxbTIhpDUSm+czDDyszGa4HCE0pQbkQY8VE6RDT9aQrXuez\nzqZniYXwVEjhLqLUm0nFy1PEdFAFxBD6yEKH6wQU2Sup/KlVmfhF7UGVU35qcpL0Xpv0u3bmDLuN\nYbBqE1tvpwRlLrFN/r7rJzLns1NTxgtje3PTKdVZZPpLnY42NVFkki7zUDFNXUNBlyyb1HBN3Y0Z\nEyUjJh2WZakNOB54CDBleb8Qnrhne0WhbAgnfq+uMgSpeLks0HALoVynx4WeKRaMEPoYDAZZ6HCe\ngFAGvSp/f+rL97Mvvsj2oO9jQs0pt2mu3zh63i7s+e5HwbRtg49mVXdKpC4Nj8LIKMW1RKbf55d+\nAJOUoWKaJqtaiEUlFlwvxBQxUalK5O+89NKhgGOVUnN2asqp4KDPJd6UTKXYvFzlRnxuZcW7cjTV\nguFCHzIf/NjMTBY6nCZAqEjaFFA1kYvz8+wJgH0PzAF8prbxNul3B/ezHUqALUPfzv5OjabtWPDV\nrOpmjqr387TEVYBdmJqKWrisxNDNca7TidKwTWaGLgF2dZ1n1z1fm5uLEhNlEopj0aFY2lyr1ADe\nQiZ1z5qSqZSCxlSdXH3e5WLBoNKHig/mOh2uEzD0XomF0CAnF+1arJx3DuMaoUvbeFumg6hx9gC2\ngnEt904Npu0UCOm0WmfKrlWDmZ1N8tzLc3PBDdt0TJMSYFenAuFyIfI5hsZEUeKvQumQj5XHGsSI\nOaBCbnZXZ6ZSiliSVOnMVAsGlU+p+GCuSOo6gURCRwwi8tGuOZGpNELXtvG2mg4y07E1UzvKCNGs\n6krZTcWcXZ8b4n9XrbvusisBdg33rSxVlozm8FnzS7OzwTFR1I62oXS4Njd3UDmUWkLcFyYeWpfb\nMkUsScr4FBdliUIfqnXPQofrBCILHaHlmEXsbm1pO/vp0phEhidrT66aiUn6XWy3D5iPnIp7B2Df\nQAxWPQqIeXlXrYGnYs4uzw0x7evcQ3JcCo8noTbHSwnXNd/d2gqOiXIVin3pkO9HH2AXDOfBV6Dl\nsPFQXcl+Ck2FIIW7NCRd1QZfS6suaFTFB7PQ4TqBCEKHMorf4XLXPc/UdVGnSYjMRxYyfEy4OumX\nH3rRuvHC6L/XAbZtSHU7iqg7INQXqWJKXJ4baiVSMc3XioItT08fBNgtdTramKKq02Vd17wsS7Y8\nPe0dE1Wlu0Hcj5SVjm1ruL25WYvbMkUsCeWZIZZzkwXDNZ1bVUE2Cx2uEwgUOlQSeYh/9uBQF4XR\n5DrQMBLxsIpFwWK0jbd1Y90nHvqmB+yqUHdAqC9SxZRQnxvjQrSZfW01QqoMLOTjdV3zXq/HVqan\nvWOiqhSK+X6EKFc2HkC9iKt0W6YQ7ijPvDIzY7Wcu6Td+6Rz83fvYjw5IQsdrhMIFDrky8glut72\nPFl4kdPTFlutMWJR5XrvYuh/PY24monLoU8VKFUV6g4IrariYornxrwQXcy+IZdBKHzWPGSf6upk\n/eziIrtDPBM6HiCn1/rsZ1V7G1u4K0t7E7mlTkebKeYaw9Tv953TucV3q6pb5+wV1wkECh0qIgwx\nO+rcIy5BoDrmdWNjwylGxAWuNR1MhF5nuqMJVWtWKQS1WL0aXD5nuxBNqdtUNNn95ZP66Ns9uCqh\nmNPm+W6XnZ2aYmcmJ9mFqSl2aXZWeSZkHlBimHa/CrDVyUl2sds9RNtN3c8U5eSvw1zaQCWU6Fpb\n6O4DanFAVTq36t03MXSlr7Za7OO5Tkd1QodOIncN2GRsSBg7L73EnhJKmIuEZcrjNxG7aE473+2y\nxyYnoxZvooAaWX9jY4MtdTpsqdViq60WO9fpsO2NjUZaQ3SXQiyBKWVEO+XdMYUd1YXYx1BLW2y3\n2fMzM8HvaLr7qwpLX1VCsY427xqKDqrcviYFqqn7GVO4E8sbqASIvaJgl0+fZs/PzHjfMfJeubj+\nB4OB8t3iz9WTJ9lbb72VhQ6nCSiEDpdL42K3q5VC7xAvd5EwHpeIgkuViw7Eonu26G55GkMNQ6eZ\nxIRNa7nQ7bKL8/PsScXBuw0YyyE3ASkEprqYbiphR7wQr8zMsFPt9tj5iJF2SIkxqRp1CJAp5+lD\nm6YAd50SUqc704RYwp24JqqA/NMnTrDtjQ1lQgFVeBD3ytX1X5b6kvf8eWtzc7kMuvMERkLHG2+8\n4ayJmKLOZX8btXPhEsZNbSFxIiYGcacokmsMFP/s2akpds3AiPYqGKcvyrJMIjDVFRgZQ9ixXXg7\niQQq3WXQ6/VqjSdqqtbuC5/0XFMqv+77VbszfeAr3Jn4IlcOH5ucZHcnJsas3C73QUjn2t2tLXad\nwJez0OE6gZHQ8cSjj3qVuOY9E1QXDu+ZQI3UHgDsCtSmNmoev2vPhSqi+m09XOaL4sh2qd3d2oou\nMNUZGKkqO07ZBxf3gYke9iPtdYzCZLHQhDMYC760aSpaSPl+E2O8QmGiix3c75iscr9Qq/LKe+Xi\n+hcLwalqMZ1qt1lZlpULHRM4Jvjur3wFnxgMUIz+XQD4xGCAz7zzDv7qD/yA8jtf2tvDdzCGWwB+\nGcA6gD82+u//AeAPnTiBTqeDoiiU3wcAxhim3nsPxeidvwvgNcXzTgD4ec0z/mFRoPXBD+LyI4/g\n2x9+GJcfeQQ3X34ZZVkePFuFAsCD773Hha9kePrqVfzCxDip3MNwbg8zhqnReFSoapwASO9gjOHe\nvXu4+fLLuPXTP40egOc0n/02xvClL3zB6b1FUeC3223oRsIA/Ha7baQrH3Ba/E8AbgK4DODbR/+9\nCeA/Qb0P9+7dw3c+9RSe+vzn8cV338U/6fXwxXffxVOf/zy+86mncO/evbF3iCO/J7zvOwD8h1/7\nNey+/PKh75nGrAJfmx/7/u/HZ995x/lsx4JqvofGiepoOwZcaZPPi/OAAsBvjz5H+b743uMGHV8E\ngH8K4Mro/zvA2B3zblHgrmZNfn5iAt/8wgvKvfqLAH4cwOu4vwcMwOsTE/iJhQX8hR/+4eHvRnT7\nAcW7+f126kMfwokTJ7zmHoQqJJuUP5Ba21M1EZ3EL0qfVG3U5O8UfX6qtt2vFQU79cADY75Prsmp\nYk5UFpKU0Plnr42kebmPS4xxulbts2np4md4TMIewK56am6299Zlkj/f7aqD/EYaz/lud+w7Pg3O\nRLp2Kc1vWzcZTbAyNDUTwxeUwl3y/tzY2GBrCwtKd0FVtN006PjinaJgq5OTWn4ywP3aHT69UqgN\nH1V0K76L0212r7hOgAeSelwaPszEFHdRAuwGwE5B3R784vw8e2Vz85CPc31lxZgGu76y0gh/sso/\ny1PBdgGS75DyDhffva1k/eXTp1lZlsYCOb4Ck83s3+v12NrCwpiQuVcUSQNr15eXtZUxbwPsuZWV\nse+4XuwiI3Qx91LWTVyXWG6qUNN+HQJkSneEKcjzwjd+I1tbWFDuD+dfF2rKomsiZL54odtl6ysr\n1mrUa8TiaLaAXLlGiggq3Wahw3UCBEuHThNxaQdsugzlYMQ+DjdOO9Nus1c2N8cYKmO0zJCmRYHz\ntFJ+IZQAu4ihJUfOaNgDLRiTehnJeyFXVRQLsPGmdevLy4cEO1HIoAhMqjoUFG3x4vw8u47xEvMX\n5+eT7ZvNMnZJ6krrc7GLjNA1lifEquJytmOmuMqMn//EPoNVpOWK7xKzkZY6HXau02FnH3yQVAei\n3++PXZi+Yz0u8R5i4S5Xa1BIRV/T9yh3RxY6XCcwEjp+qijIG+yyKdSc9u2NDaWGOTCMgcrwVQe8\nCVHgspl9G8PsnSUMTX8LRTEmbOlArQViKlmvM/WvSv8W3Sk6gakPsO+Bvg6F7TKUqxCKn02pHYcE\nCbpc7PyCXBXq0lDeZ32XJBT5WBlSBJ/2er0DDfbpiQm22Gqx9ZUV1uv1nJ+lQuiYYzVmowqRXPEo\ny5LteAhKVQpYVUHXwiKmsuhTdM52d2Shw3UCQvaKjzXAtikyIXEt+oXRZba+ssLK0t6qWed7dmX4\nTdIKdBcC92u6XKyU9bOVrFeZ+uXPyIKKSmD6JoA9OjGh7Xja7/etl7uqsRKFHkLhI0CEuA9c3qcT\nisRz9fTExKELyKfeQ2x3SBUZNL7CVejF7VIHogTY8oMPHtSzeWJiwnhOdOOIvZ5N4YnyWZBrd5yZ\nnKxVWdStUy4O5jqBkdDxi7/4i8HWAFPch06Lvg1oq86ZND4OKrNpysESEasAEFVDt5Ws12lp8u+3\nAa0J+U5RsPXlZeue2NJGZQuA/NlUKbMhlgGffQx1l1ACUV3Ny7GDT6uI6XAdc4yL26UOhGgR5Nr7\nLszlv3XrEmM9ZYHr0uxsrZYSGw8bJDzzPhDX75kPfzgLHU4TGAkdz3z4w9oGRL4QCckUMHdnQl1f\nXyQ4k+9Zx/Avzs+z7Y2NRpsgU1T3U60fb4Eu/43vi0lLE/eOEn9ii4tQWV1kxnmu02F9HLaMrY3+\n3TfQQ4z98BEgUvuNOeR1M50rV983/7tv8Knu2akzaHzG7Htxi5fN1ZMnx4Rj3X7sAmP1bHxr84Su\nJ6e5W0XBdnDY8rw8PR3N5eWKo5LlJAusucus6wSE7JXYJk/G7hOS7YDpOglSmICqBPdnX3xRG0Xe\n1AhxF0Yug8JEdc2LeMl6k5b2LIZCBQ/wUpUtvg6wGxsb5Dgb02X7mU9/mj0JderqkwDb3tyMvfwH\nkAWINcdS+ZQ9k1OQeSDi8zMz1m7F4rqlKCrnwvxtLoqqCr25Xlg+F7ctJko8K6rihmvS73RCPv+M\nrkhY6HqKRR3l83UH94s6Vo2jUrlWHmcWOlwnoEiZjbnBu1tb7G5RWGs5UPOuRaiYwD6GgsXy9HSy\njrKp4eNrpmjMukNdYigwPNZua90mrxUFe06Tyia+7/LcHPkCMFkHtjc2tGPZA9grEYQOW8R7qkA9\nSpqyabx83dZmZ9nTGhoPudBdstIoLooqNFiXC8v34la9Q2XZkOtArM3OsvMPPmiMjZLj3dYwVMRU\ntBC6nmtzc8bskD0gSudjV8RyN3OkcsXI65+FDtcJKISOGCZPDk5IlDLmriZqE6Oxva+ppZdDfM22\n9bMd6l6vZ81ppzBrn94iVZWvpwgTqQMfXS5I23hTXOhU5k+dRxUaLDWTjq+lLVBZtW42S6HuzPDv\nylYRLrBo4900XWtD1pMLXCoLmSj4rLZatbijQ93NqbN6VAJrFjpcJ6ApDhYzaKcsS7a+skLKX+dw\nrWQqMw1qlcymBCZxxGLQunlRBBPT3ymXXKjGksokTxUmUl+SVIGKMt5UY6Uwf9d5pK6VYxqzvJa7\ncAviNNEkt2wstVratVI1D+PCxjXHsYSu56XZ2TH+6FMZNxSm8+vDm6vIkmIsWzrCJ6CxdMQO2uEE\ncSei6cx0MZl83X0MTZepA0x9BJoqy1b7VKJ0Mb1TNBbf4ENOny5rTBm7KiMh5h64CFQutVdStLTn\n3xG/K/7ORTCMFTBtG6vu3/Ja+tSBoNCkSdjnBRB/DjgI4LwCsG808CpTfInveu5ubY1ZglVuopiC\ntjhunSUi1EpRVUxIjukInUDimA4RsRmPiQmIXQpliV6VeSEXKwuZo+/BqbO7KhU+WpY8XsoamRjI\na0XB1leArQXoAAAgAElEQVRWnNdYRy/liF4WWy1lRkLsPaAKVC6WhFgt7VV7c2NjQ5kF5tvXKKYF\nNaQHjRgMvdpqBblzKTyzLEv2mRdfZI9M3K/N4WKV1cHHIrA8PX2oGKOspMn/H0PZMVkiLs7PBwf+\nV6WwyTwwCx2uE5CyV6oqDx6D8dguppVRMKlIxNdwuGWyGLwlFivzQQzzXpPTxnRaq0t2BzWIUifc\n2Br8mYIwdYW1ZLOySy8ZHzqmWlx8BNCQlvaq7/QxFNJVBazqDNZ2mR9lLa+ePKm06KjeGeImUu19\n7GaPpvFzIW39Ix9hj0xMsD0Mg+9fUPBDnqJeamjNFSa6vwZoex5RaKlqhU3kgblOh+sEhDoddZUH\nDy1BbAqM1DVZMxUr8xW6Ypj3mpY2ptMmfbRoxtRmbs7oeK8X0dwq75+twZ8ptVpVC0ZlVraZmlVd\nRF3MwNTLK0QAVdHRwLJO1OwMm2BfheKSogcNNcg4xFqrGkcs14bNdaESKK9j2NtqQZNCa+qu7ArT\nHsRI/a5LYcsVSV0nwBu+vfWW96L7IFaUsUvsgEuxMp/LPYZ5r6qgOwp02uStAGuDuEYuwWvUBn+m\n+grXMR6wp4vi12UkxDAD8zHZ6DZGeXWV9rqDYSNE3XdcLoML3W7lfY184m4oDQZdLUOuypLN2hbS\nZ8Rm+dne2DDOf/nrvs65u3KMufNxhrqYGDO3lUipsOXeK64T4O6Vt9/2XnRXpIoydsl4iV1UKaZ5\nj3IhVRHXoTvEu6CbQkXhUo6XcNXwQusryMzdxOx0GQk25u3D2EzBhz4CKF8nrVAHsMcmJw9VHlat\nretlkLqdvKkSqI0ObGu5vbGhtaD5KiEqmOKKdjHsL+LTdZZS4dfE72yt5OXuyjHnzhDHxSTusVjN\neB3DxpPbGxtRhGGZzrPQ4TqBGoSOOl0I1GJlPv6/FOY9mXGGWIdizYcqsKmES0qvF/k5lDGZ1li2\nrtzE/UqqiwRmR+nyOjCM2QehWR+UAlAUF0SKeANX2OiIMq6yVFcu5l2cbUGxIZeueG7PTk0ZSwds\nb256dZ01nQtVLyN5frGLzLlmvl3DsC5J6J1QliXb3txkp0aFDmNZrUy8NwsdrhOoQeioMi1UBmdg\nlGJlrkgpTPlah3wFFZ1VwUX7NcUI+JpUXRv82cy6u9A3r7NVslS5Ls5OTXn3LrLtlWt6sGuBPNeY\njqpijELHpTo7vHIxL+B1YWrKSIsXpqa8Ll353dz6JF+IIa47igXQVgzNZumgWhpM9GuyNvG5x3Ar\nu6T1U3ijjfe+8cYbWehwmkDFQkeqKGOXz5ele7Ey6nNTxWP4+CtD3Vi+lg5Tyiel14uJ0dkYl2tq\nZx9gp9rtQ8/bN+yZGCsRMxA5tsux3++z1clJp3OmWluevbKH8Uuyqhgjn0qgrrExtkt3sdWyjlN1\nia0vL4+5beQy6TFcdzZFztbban1lJTgdmEK/Jsudr1XPp5qxy3mz0c+f/dSnstDhNIEGWjqoVoYQ\ndwMnuljFysTnqg5OaOde2UUga9iqPg2hlpeQmA5KBcePgm5lsK3x9uamVku0pXZub26y7c3NMdO7\nygfM1yS2BSCFlcynjoZubV/Z3Kw0WJQjtBIoYwR+MzvLzk5N6fcTQwuWrVeP6hKzWlQFt02IBZga\nKOvbAsE1K41CvyG1R3S8P0WrBtu+fHxmJgsdThM4ojEdMTTD0PQ3GfJB6ff7QYXCxP/nB8lFww51\nY+msCrxWhk1gs73/fLcbbBni6+RTs0VmuBRaorrnXF2EKVyOoecspOtxTOgsHVzwXm212KXZWeXZ\nolpWz3e76gwS0FJGdSnKLu0YXCzAqoJ7lN4zIS0QXPcolH51sPF+irBNHS9lX3KdDtcJ1Ji9ErvI\njqvgIiKkVoiujoVPcSadkMIPCVXDDmVi4ph01S5jpHyqnu+TOm1jIqbUTldaosQAuLgIU/eaaUL6\ndQh0JcypfUIoltXdrWG795u4H2R8GUNLymtFYeUnoa5IyjjPd7vWmAmq0LC/v6+ch08mUtWFuWyu\nZpuraHdry2m8tn35WLZ0NF/oYEx9QFwuGxdJNeUcdIKFa7VGap69S8ZHKBPjsDGiGCmfZVl6Re3z\n94cIWD5aWuxMpVSFjWJb8+qATEe7cGuQ5tPDhv9QBDQT/bm44SjWOqoSY6tIGqPQn4hY9OtS9oBB\n7Wo+feKENSjVZbw5piP2BGoSOjh8LhvbJVNi6IMNLTxmg4kYY2QOiIS9vbnJLp8+zdYNF6t8uYYw\nsRiMiDHapRfDVebL9EJrf1AvPhuqSCOvs2ePCa61a2yZGPLZogq/KdwL3CpDCcQ1jTO05LzujPkW\n+pMRQr8usXlUV/PF+XljHJLLeG30k7NXXCcQQegILWPuc9nYDrlLjrYvTDUbXNNBqRHXtiI/4uXq\ny8RctSoqdHRSd/l4H4EltuviuLhCqPANAvcVEl0FCleeZhPwn1tZIb1bN05bnIItZiJGoT8TfOnX\n5w7wcTWHjtdEP7lOh+sEPIWOkMwRjpCLIvUhssHG/FybhlEZqeua+TAxXYfe2GvIESMIzYfpcRpe\n6nSiZdGEuC6OgyuEglDLVqgpP4XFh0p/PrU+YsRMhBb6o66BK/363AH8O6Fj9z1vuSJp6AQ8hI4Y\n5nDGwi4b3SGPnVXgO37Xi5vKSEM0YioTi10i3oSqy8eLn+U03Ae95oNpHjHRVFdIDKRK5U4lFFOR\nUmgMEbRiFPpzBfU7PndAWZbOruZY41XhWAodAL4XwFcA/A6ALwP4mOGz1wEMAOyP/jsA8J8Nn3cW\nOmIc+hiXjXzI12Zno2YVhKyDawdOVx9jKHOL6RoKRYogSlvwqyoj4iaGGQu8222MC+M4Cw++SJXK\n3SRXVOx9D+W5MbJrYiPkDnB1NafEsRM6AHwSwNcAXAMwD+BnAPxHAB/SfP46gP8PwIcB/OHRz4cN\nz3cWOmLlZMe8bKjpTTEJ0cb8KGml1GfF8j1zhATBxj7MsTVXiuvPRCf7DjTs+/73K2JZtt4vriiO\nUEGrbne0DiH82rUlgg2+vPQ4Ch1fBvA54d8FgK8C+Euaz18H8B8dnu8kdMQ0h6cwk1ZteqUyv9ju\ngRjj9o2U393aqmwsrporxfUXu66AqpR47CDc44TYisH7xZoUwh/6/X5QoT8KfPYhNOvFtSWCPJ+Q\nAo4cx0roANAG8B6AF6Tf/00A/0jznesAfg/AuwD+HYB/DOC04R3RLR0uZcxjm0l7vR5bmZ4eS1G7\nUwHTj8n8qmCkOiamKoncx7AT5GK7zZ6fmbHW9Ig1Ftf9ojKxUBrWWTNC+meE4qhcvtsbG1E6ir6f\nQVViRBp95uGH2fryMrs0O+tc6I/6Dtf6OqF3gIpvmFoiiOUAzne77LHJyeBMx+MmdMyMYjKekH7/\nowDe1HznSQDfDWAZwLcA+AKA3wLwkObztcR0cMTU7jkB3yoKtov7lQWfBtjy9DTr9XrOz3y/wJRi\neGVmhp1qt8cCLWPX9NCNhQqKn5e7TWJoWCqmtthuVxaEy8dylFw5ZVmyi/Pz7EmMB+7uAWxtYaGx\nYxfRdAFP5IU7uF88a3XEC7/61a8qv+faOFM8BwPYL20Vvd7Y2IjS28e1PtEO4vRPer8IHX8FwC8R\nnzEJ4N8C+CHN3x8HwJ555hl29erVQz+vvvqqcpFTBXKFRknr+h9kDSoMpuZIqWp6uIJHtD+rYSKi\n26Tf77MbGxvsVLvt1T3VVIY5ZkQ9Zc5NceVQ58TXTgzc5SXHrwNse3Mz8Uj9cZQEPF7WXVU86w7A\nVqang8fN37GLwxVBd6EuHU91fYaCmlXok6X36quvjt2TzzzzzLESOpzdK5rn/AMAf0fzN+86HXUF\ncukOf2gBnZQ4yimVMVODU4EzwEULI+FN5niqLL/41gF2pt1mr2xuBtWJSJENkLKoWgh8LmHV2okX\nUFPPaGoBL/Z5XpubM2rye0AwffAmeWM9cDBMQb8wapIXWg/HBdRyADGz9I6VpYMNhQJVIOmvAfjv\niN+fAPCvAfyY5u+1VST1ge7w3y0Ktjo5GYWIYo41hmbEx1yHptWkmh4mcCZ73cRoi0LbDIpbOSid\nV03rsYs4QlhoBg5f+1T07nMJV90YjDoPyplKIeClOs98nVOezcFgwM5OTendExi2ouABrDGKeVFB\nLQcQS0E4jkLHn8CwPoeYMvubPA0WwN8G8JeFz+8AeBbAIwDOAvi7AH4bwLzm+bX2XnFFk1I9TdC5\noKiakcyQzne7yrofVZjSm1TTQwWRyfJCX3KL8jsAO9VuR7GGmS77/ug9Ia7H0Awc3gRrqdVKJpz6\nXsJVprTb4CI4xSoT4PNuH1yanU1+NhctPXDOTE4e0EmVvIJ6R+wix3ToXwL8+VE2yu8AeBPANwl/\n+2cA/rrw7x/H/UJivw5gD8Cy4dmNEjpsRHcUTP1lWbL15WXvsagY0g7qy6ePKeilEkBEJquKF7gJ\nsG/9+q8P0rSpZuLtzc0g12NIBg7vPSQLXbGFU99LuG6XkM9YYlhoUjcMVM0tpRI2GAyshRgvjJpu\n8jGkLESmSlu3lQPQnRXX2MRjKXQknUADhA6qmZHSXfaxyckoOechc3l2cTGoHLuKIdXpxgip6cEv\n29RuIR2TFce7NjfnrWmLgqBL2XQfIYt6oavoJJb2ZkJoJcmmVBN1EZxc6IbiDnUV2lzpqCxLtjw9\nrVVU7kSgBZvV8MLDDx+ik9i0aVpfajkAbhVcBdjq5CS7NDvrHJuYhQ7XCTSgtb2LmdF2WM93u7VW\nKtzd2mJ3iyLIlCjPsQluDJeaHuIlwv+eOsOCwmS3Nze9LVBVlk2nXuiqC7xuvznDsKKrSWutMwid\ng7LOV2Zm2M7oUjs7NWW1blHdoZdPn2bPz8xY9zi0cFXqmkU7W1tahYMLNSKdxLIsMOZ2b1A7Dvf7\nfa91yEKH6wRqFjpczYy7BkKXP19HLj0/ZL6mRB0zrLNHgmqMIkyXSEwzsm0/dUz2dlGwi/PzbG1h\n4SCNcCzmw8L4UpZNd3mXvNfi2l89eZKttlrK78UWTlVC2O6ITrkQRm1VXxcosTmvCxrxs8BYISle\n/VIuRmVzh9rqyYhZViHCemwBT7Qu8Po9e0WhFSJkfh1LWI/FV3zpT/xeFjpcJ1Cz0EE1M3IC5lXk\nfOorpIYoMJhMiTbTpmpNqjCbx4B8iGM093LR9jiTvdDtsrNTU2yx1WIXpqbYmRMnDjRVOeZjFWDP\nraxon1l11oUvQx0MBpUFaopWFl3wbtNLv5vW+ZpCaOB0s4phvAK/wFVVaG1KwlKnY9xjXZZVyHkP\npU+VdaGPYcbYmVGlYtECauPXl0+f9qaN2IG9FOh40RtvvJGFDqcJ1Ch0UJm5mHYl+uGehr8fzmes\nFPDDoDMl7gFexadMmlZTGXvoZe0b4e/idhgQmVToZe5T6dEn7qHKQE0u4FVRfyEFTOusqyzL6WVt\ndvbgOT7u0CszM8Y9jpFlVXWnW96TST63sfl1HanXJl70xKOPZqHDaQINt3RwaVJH7HcUle9iwScA\nUhyrq0YtvlfXnGl5enqsd0ITBQ6OOrpIyt+LERPjc5mHBND6msXrCNSMoXXW5WZRrfPu1tahmAvR\ndcSrbvIaFCHuUN0ef/WrX7VmhpgCdVMFbYcEOMfm11WnXpvm9JNFkYUOpwkcgZiOukxpsbTsweiw\nxfTFNr33A0eI5m3zuS91OuTMgNCYGL6v1MyomHUYfDIXqgrUDM1kaVJZ8cFgcDBO2WIpV928jfsW\ny1B3qPheavabil5T1v5w2ecq+HXVqdemOb01FDiy0EGeQEOyV3SaWb/fr6WKYYi0Hpvpi0zpqMFX\n87YVv5JdTdy3fHpykj2t2LeQmBgxnujs1BQ7MznJLkxNGc3EVQS6UWiiCrrx0TpDsg9iQyX8rC8v\nD10GBLrxcYfqmiTy+BAfek19EVP2uSrXB3e5V2HRs83p7Sx0VCN0xPaXmS7pOqoYyu+UTayLrVby\n6PymaYK+8BXCdPu+i2GsjMzguTaqsmrwz1Bqa8hjVzI3i+UqRNuz1R9oGk34XHa278gpqKnmqRN+\nbhUFO/XAA6R6O67uUFMaOY8l8YkJS21hCClaF4Nfy7R/vttl68vLlbibs6Uj5gQchI4qGJ7qko4h\nwVMv/7Is2c5LLx1KPdSZWFP6yVOaSuuEixCm23dZqJC1Qp2WWGJoDTnX6ZCYVFn6VZalaHtXT540\nFs9S7bsqNTOUJkKVB129ENv5MDHx38LhdNWUtG/iLT8HkPs5ubhDqV2KVZV1eSyJah90NDeQxuoL\n6j6nSJO38UNxTULm6NNcMcd0uE6AKHTUeQn6muh90i1VzYlCTPO+aFK56Lqg2vd9jLePl4UQShEi\nG2Oi+tZ12qOuRDm3lq22Wkp6dE3j9KGJUOVB9f0bGxvslc1NkjVLdUGKa3MW1bUzsNVfsfUXUWnt\nIa0cbFlWJiuBXIhLDn5d6nSC+TTFahkazGxyd+loIsQyRjkPpjnl7BXXCViEDr4hdafFuZrofYSk\n7Y2NgzmKgkYdJcjrCJ5tIlT7LhZWGkCdmSJqiU9PTHj1PwmpLKsqnkWpZeFzIbnQRKjyoPu+6G6i\naJqqSpUm91gK2rcJPy8A7KMYFpeLxfdSdinmNKcNfnUMZqfMRYfQ7CuZvkzCv1zIzYWmXc6Dbk65\nTofrBAxCh07zr/sSpDA1V0tBWZaHcvPFGICYJcgpGrbs3gl9Z5PhMgf+WXlvbbR5SaipQEVoZVlR\nM+pjaJ2xXSY2E3kMOgy1oMkp4eIFvQqwdUJKuPwcUcDvA+wCcZ4x6N8k/PDxPAl4FSOktjlQXaA+\nVgJOc9dwOOYpVFAKRahL1Ub7oYIatcK1ak6DwSBXJHWegEHoqKMtsQ6uz3a1FOy89NKY2Z5ry4vw\nu3g4qOZsFyFP1WDqqCCGeV80de5GYrJ8XJdmZw8yYEyuNVtl2bIs2fbmJjvVbpPdNCGWDkqAXmjR\nKZdUUg5b4zc+L/5Mm1arS5U2vU8HnfAj84HroMUCUWhbl+2yO5r7Nz/4IFvqdNi5TudQlU+qq8BW\nYr3JVlId/atof2D4m22+fJ9s7jPTd/kef2xmJgsdThMwCB0iAdTR+8P3cvJJ21qbm9POMeRSczHf\nURggf2dV0f2xESs2SDR1UnpAuI5Lvgh9Kssy5u6mscV0hJj6+/0+OTBSBZcy/xT65OebW/X4M02X\n/5MYz0DiQbbbGxvO50El/JguIJOFhUrbstCsy6zizeFcznQd1TpjwTR2ThOyde0SwL6FeLY4Dtbf\nw32q2uOcveI6AY3QIROA7RKM3WiNcoBN73FJ2+JztTE7n0tNjBPRrZtckIgBrAewFYybde8kymKo\nCikCZCnZA67jEmnBt7IsY2Y3jbh3nB5NAWt8330D9Ha3tryKTlHnw39cfezyM2VBr8Swgdo81GZ0\nkzDiErhocmmWGGaOuFowdLQt0qutg63rmfBNWW2CIKIbewmwi6N9lhUAV5oW98lVmVbtca7T4ToB\noqXDlhGgK3bjewHqDnCJocbHTZ2697hebmtzc9rGVXcA9tHJSXJ0PoccJyLPYwfD6PgXHnqIXZqd\nPSh9zNf6FoaXn3jZLU9Ps8+++OKRzWypIkBWZJ6uPXPE/VHSgkMwnsoyoMoquAaw7c3Ng++ZBKgQ\n4Wptbo7tQK887AGkmA6bhujqY1c9kwt6FwD22Oh5KSyRInSuJ12hL5cgYBNtxz4TrsJPkyymprH/\nSQ1d7cItq0tcbxdlWv5uFjp8J0CI6ZAZgdyW2FTsJmawFTUDgDH3tC0x8pvPkefGX8fhS4F6kani\nRMR5yP5wLrGrDgL/HKUtdhN9tlUGyLoyUp1ZNzQDhrHDMRA6Te02wNYWFrTppTq4rNP+/j574aGH\n9MoDwB6bnDzoJ6IDJZXY1cdueuauMFadoBMryH19eXns8uLn0Xap+bo1Qt0htngZE++L5eqkwKVO\nkmsTPk7TlGBfeb21ygXhu1no8J0AIXtFRQCir9EnU8R0Keg2lyqVigVlqFqhaq77GsKlQhcnopsH\nZ24mJroPHLnMFt8A2dB3ufjHbdqmTwYMY4fPxjbh8ooJ+ZzxoDmVYH0DYIsnTpAEtbIs2frKilLr\nHGC8jgqFPnXPFOlF56KKFeR+vttlzwLsNQytkNwaddpCs5QgYBNtu36PIlRTeF/qWkC+VhTV2OUm\nfCrB4+zUFInXq6ya4nk4MzlJ/m4WOnwmQKjTYSNeF/MgVbpWPdPmRzZFtVOYTr/fj9YzxRQnoptH\niftWJBMTXfIoWFQnXAJkQxmdyjrH3RncOhfDHUeFa6BiLPR6PbYyPX3IJbCDcaGHCyGuMRF8XqoG\neDqN1Eaf8jNlgUJHOzEE2X6/zy5MTR3EUvF1cxFqfGnI1R3iap3wSd0NpcdYVhQ52J+yzyFp47a+\nWjmmI8YEHMqgqzbT1TxIPWDy50yHn+pzVc1FJ42rSg27QhUnYmNiJcAWhIBV1eFa6nSOVEyHS2xQ\nqEnXVnchljuOCh7kagtUlM9JCMqyZMvT02MChu6cXINfnQOdQsKblvnQp/xMMaVRRzu+4xffyd07\nqpgXqlCjoyFbHJAL7cVsJJgyyyWFEB/rmSFnXfXdnL3iOoEIXWZdzIPUOgGqzQ0NJJMFjPPdLluZ\nnh4jvlg+TV2ciK3uh02o2N7crKzDYih0VR/F9VhqtdhuhEZNIRlXjMXrDqwTZC/8kT9i3PeL3W7Q\n/DlMWSrc8nNmclJZ4dV0Jk1QpiQG0qfKeqCKK9ve3AzO6uGdXXVxJVQ64jR0YdSReLHVYhemptjF\nbtfagoFCezGtE77uoBjP9rGixFQMQs66/N2P5zod1QsdVAnUtU6AvLlLnY6yTgHFbK0y96nMzT6S\nsw66OBGbZkYRKmJdkFXA1t8ipjvIpbaMifH5angms/I3PPCAlt5uY5iGGwOXZmdJLoH9/f1kGm9M\nAY4SVxaa1TPA0EW7qpi/q3VON2aqMkOpkxJjr1K5FFNaUVLwvZDqtrkiqc8EIggdVAk0pE6Arpul\nqgGYisB3FAesCh+7SvP55gcfZN8wOWms++FyuJoUNKpClc3r6q6ia5rrE7rLa/T7CxEsHZzh22j7\n/EjzXpubSx4jFCUbyeGicWlJIF+QFzXrprIQ6caQkt5jWidSuRRjj1OHqrPcdMhCh+sEIggdjNED\nTkPrBKjeYzMPr83NjR2CKi8l1eHuY5iKe6bdtpY6brpQYUMK5marCkkJ3EwRcKtjtpzeVJkjN0e/\nj0VvtnP29wG2Mj19IJxR3ZMcVdGj6lLYeemloMtQ9UyRf1BcKSFdZEOVmdgCTSqLadO7ZMdMF85C\nh+sEIgkdIkwBp5Q6Aa7vsRH47taW0twX0kbaBZTxHXfEYG5UzYS/a/HECbanYf57AHtFqL0iw+di\ntZmVZXqT/z8mvd0qirFz1gfY9wDsERx271HcB/LaX5qdTVpEKualYHvmdWE9QgOdQ1wLFJrzEeBj\nNaN0QUorSgzEFIqy0OE6gQRChw5ioSRZ29vF0OTrAwqBi+/eHV0AZyVmw3/v2jGTOu8QzcfGEEJ8\nklXD15fregnd2NhQFuO6i2GK6LYkdMQwt5r2egdhWRYmqAI5XyuKg4q2VzBq064Qfjj98zO52mqN\nVUF9dnGR3SqKQ/UreIXcXq/nPW4dqsx+kNsciM3XVicn2aXZWScB2cW14ENzFAE+lusgBLZx1mnB\njWmNykJHg4UOXdviGEzXRuCi9sdTKLlW8w+gTq2MIZWHaD42xuHLWJrAkFzhcwnxlGVZwL2Jodbv\nUz8mZJyvFYUyW8qXznT72O/3x4OwT5w4qMNhcytePXnyED2qzg4f+x0MXTWxacfkpvJ1UZguGl7n\nR+YfPqnzVFqNQXOmiqRN6s1kK1FQ5ZhiB7pmoaPBQkdVvn3dQdTVLlhHOg2UMb+gKhvj8C0930SG\nRIGrZqJiLPL3ferH2GCj8V6vFzWrg+8j7+XDtXMxRXMwGDhl9cj0GCMWywWqUtWiFXINw+qTrq5Y\n6kUTI0CRGlifIu6B+tyqLQ1N4j0xA12z0OE6gQqFDsaq9e3L0NUISZ3F4lMBb3dri901MI71lZXk\n1Q+bAl/NxIWxxDS3Umk8hOmL+2grgtbv94M6RlOyYWL3+xHdoaq53QacL6oqMio4qIH1KdaUYtGp\nw9LQJN6TYzpq/Kla6BChan5kg6+0rLu4qshikTUfk1bKBapFSxqj7e++HS3XPHuMpIbPheGi8aWq\nK5BKmxTXYxt2S11IVVhb3Y9BhDMiQyzYFatsvqrKcRWXXoxKzi7v0j2XWrm5CpqNIWTF5Mm2M2BC\nFjpcJ1CT0OHr4wuRUHVEX0VqpViv47HJSeXBvzg/P6ysaGkdPsCw66mJYT0/M0PuaCmar5+emGhk\njIfPvrswFhehpu4UZnEfS9gr3PKGWZSO0bq6E3J9HdnlsdhqRaUZvne2uj6uFqiL8/PsGg67aq4B\n7OL8fOX0HtvywulS99xd6FOjXysKtr6ykqQdBB9bDCErZkxIrHThLHS4TsBR6AiVLkPLkIdIy6qL\nq4qYDnkMOrfJNdyvkGoThOYt/VnOdTrK96s6LFL7k/gg1gXtq5lQGYtNqNne3Kw9AE4E38cd0Irj\n9ft9UmVPFeR4qNQ0w/nEMw8/zJ4kzM2lbfrawsJYY7vbRcHWFhbI445F0zFM/KpLeH15WcljTI0m\nRQuIyRIbglAhK2VMSMieZqHDdQIEoSOGdKkiGNcy5KHSssrN8SzAfg5qc/MdgsvGFaaDJzIFm1n5\nsXZbq7XcwdBvq4LM6GKarzlSRaiHaiam/TIJNdwC1YQAOA6+j2uGy0Rm5mXpVtlTBO9auwd1U7RY\nQrrMJ2JaIUMu+RQ0HWri113CPwuwRyYm2J6wdqbKzSIPSClQhgpZTYoJEZGFDtcJEFrbp0ol9AlO\ni3kW/hQAACAASURBVCEt84vrjz744KE6HTdxP7VyFcNeGPL8yrJkO57MxyQ0ybElOr/7nZFm+omP\nfMRYUvuKwr3Cxy8yutgBglVFqKdwceiEmpCuqbEhuiUvnz7N1mEWHPcAdkNhpfGp7MnXhxJPFKs7\naUyh2NdK6kPT1CyYEEFaZ7nlitSuwM+eBti8MH4dH06hhIhz9enCy5Gy0msIstDhOgGL0OErXdoy\nCeRLVvWjslrETG1cbLeVRDxQEHFZluzGxgY71W5bA7FMoFo6VILQmcnJA4Zkq0FhEr44o1ubnbXG\nhrgGs6XWRqqKpxAv9xhdWEOg07J7vR471+mwPjQCKsA+OjkZ1UrT7/fZhakp5VrwOI+lVitacbXQ\nCqEcIVZSl7obNzY22FKnw5ZaLbbaag274G5seNfccFkrndDAP3MNGGuYKfNhW5XmUFoXY9tcuvCm\nDPYORRY6XCdgETpcpEsdc5RT9mwEzp9tql8RGnW889JLJF+42GjuOtx6VKhgYmAqpsB/5NTaWJH4\nsYPZUmgjdRUUEq0JdTE7m5bNrTCqKr/XAbZ25kw0IdAU3KkTDlwLXekCnfncnp6YcHarUTPCdLRO\noWkepKqqgHsbcIoZUa0Lda1MPLUPsFPt9hjv5PupsrbuIrw+igwdD7fRSpUpzy7IQofrBAxCh4t0\naWOOqhoZvqa8GFHHa3NzZKFH9J+HXqiU2AGKQBUifMnVJmNdSim0karcNSpQ9z0ls6MEuKo6L981\nnDtfIdCUxhrLLG+7WC45pnSL9OMTi0Kl6Z2tLXbd8Pw9TT0e07htgraP9fjKzMxYXM/6yspB4Cmn\n9ZD6KLax+/KcHNPxPhA6GKNLlzaCUBWz0uWNu1gtQhpz2XzhuyMiXpubY/uEA029UE1Ck4tA5fpZ\nnYk+ZpXY2NpInYyGzyWln5s6BpPQoKMDnYXRVwiUC3aJGn2s2KDY+60qoubqqqHQNEWJoa4BVdD2\niZNTpX6LCgwXzEIUQtvYQ2NrmtZELgsdrhOIFNNhI6QL3a6SYF4rCrY8PT0sQBSxtbINPCZC5ws/\n1W6zsiwPaTopNF4Tw3fpREnJzDCVVI/V3jr2pVFX8JhcC0NFJ3tQa32xXC0+lqOQqqwuYxFdHlcx\nNNHHEG5iXyyqGBE+bjlOSgdKl+irJ09GU0pce7eIa+WaESiuu1hH6CkLr9OdO9+O39R1imHljo0s\ndLhOgJi9YmICVObY7/eTdB30+R4/HDpfuNiBtG6NNzSmwUUQqKrvBAV1B4/JVTxlOlnqdA7mkyru\nJFRoiCkE6sYyQFyBPNbFYqOfAcab2+nGQ+liHWsNXOPoxLW6MKp9dCfg/P3Wb/2WNljYdu4oY48p\nCDcBWehwnQCxTkdoHwGZkEJbtYcyeRUjEX3h4nNEAUWp8RJTvnwQI6ahCmuBuB9XZmbYUqfDznU6\n7PmZmSBtpM7gMd2FzZl4zG6hMmI1oospBPoGQYcI5KEXi4p+xADJ1VaLxDtsPHA3UkxHiKAtukti\nxLy5njuX+Je6YzNiCixZ6HCdQKSKpKmq64mdMsXPxWDy1MMpMm4xTXUdYGfabfbK5mY0gSN2inAV\n1gLTftiqXdpQZ0yH7cLmUfyxxtjv98fo/8bGBjm42DSPmJ1tQ4Ogq4Sq/Hto8StdRgbPXpErnu7B\nLXslpqAdq14KlaYpY68rNiOVNTILHYmFDh2oDNr2ffHi6mPo6lhst9nzMzMHRJKiWBPFsiIz7lhp\nm6bDEMNKkcpaELstvAp1B4+pzNfrKyvsYrd7sFchdTz43p+39OR5ZXMzih87hvssRhB0qvGpxivS\nzy7C095N79re3Byr0+GqlDQhS0N37myFvFziUaqMzUiZBZeFjpqEDsZoDFp3UbtoJLqiXi4XcQhi\nMkableD5mRnlPE1WCrkaYkwmphKQUhfPakrwGO9fIu6Vqbw0/9HFDfikczbFj82YexC0Dqk0UPH5\nnH6WPLszu0I+gz5p4nVbjcTgUmohL5+x7+/vJ59LSkEuCx01Ch0iVAxaJ1kOBoMxbVwXtDkgMPk6\nKtOlMmPaLnSxr4aqGuJnPv1p9plPf5qdarcP9WKgMDF5TioBiXLpxtyPOi9d3V6pAggpcQPi82KX\noz8qSKmByqg6MDlEmGqKoK0TIkz7Qxm7ypWYsuBfyri2LHS4TiCR0OHStfPqyZNstdWyMnLK31IH\nF4qIoaHZDsNSp2OV0EV/shjk2gfYkxjWQaHGopjm5HLp1rEfqaHbK9lkT40b4M8bIF4NmFBULdRV\n7UqoKjA5pjDlazEJRVmWbH15OagDtxyLZ3MlprDkpBY2s9DhOoFEQofpcPNyvOKBXJMI0MSEd1Fd\nK3odYjAVymG4MjNjNVfqIudN1iLVOtnmpKtu6eonb5KLgArTXnEhg1uSKOshP69OwS21e8OEquuw\nxBZyUgbWc9SxP5wXqEre++yPjysxJlIKm1nocJ1AAqHDdpmqhAb5gvTpIVClzzMWU6FGe5vMlboa\nAa4me9Oc7hSFsdGXeOmq9qPOi42xOIKOTZBe6nSc4gbE5+kExJSMmLF6y8zH1ECp+xsjXoJCy6HC\nlFwttOr92d3aYneLIknBszpciTmmo0E/sVJmZZgOnc4H/izup5vZtMXtzc1afZ6xNDTXw6AKGlVV\nQ/Qx2dvmZGqYJV66qqyGOhhnbEGHslcuF2mMEt2hoNJfFQXYVDRn0kB99zckXoJCy77ClGo+68vL\nB31RfC5L333j+xK74FnVrkRVqffY5ysLHa4TIBYHcz3cpsJKusBDXvVxqdViV2ZmhsGPRWElkjqC\nRmNpaDEOg6+lQ+7DYJvT2akpEgPk864ipda2rjEFHepeUS9S+Xk8+HQVYKuTk+zS7GxyQZpivaGe\n+5DKwK60EWt/Xcccqy2EfFnr5mNzb6wpGuCFCtsiLzBZ4O4Qz27VrkTd/HXtHly65qqQhQ7XCRDL\noLsebhODtqW8rs3NHXSubUIEtwoxfYSh83SN6dAxdNuczmv659jcKKlTamXIVoSYgg5lr1zerXte\nKCOkgBKnYgv2C73gqIJc7KJ5vqBaOF3Hp/q8ziogZkY9PTFxaM1jCWN8ntS+QzbhrSpXInX+MbNn\nstDhOoFIDd9U0DFUn+JeIdaMFJaQVEzPZ6xi9opYDZFnr6hiLVSVQilzMl26dabUypefyRUUS9Ax\nNaXysV5VnZmwu7WlXSebe5PvecrKwL1eL2nRPFe4WDhdaUA3H9kqYMuMilU4UXb93cT9vkOrAHtu\nZcW4P7bnxXIl+gijsa2gWehwnUBga3vq4VaVMU8ZCJo6cLGKObiOR1UN8bMvvnhQzVLuiSKvieuc\nqAe+CnOqyESq9hvrxpSqgm2MsdkyCSjBfikEb0oApW/RvBhwsXBSLZgmYUa2CtisBLGsijpewCuS\n9no9p4s7pivRxNsp91Vsus1Ch+sEDEJHyvzmEJcCtStk6sDFprp/5GqIjNHXJGRO1DoWMS4nESom\n0pTaIWVZsp0as3ZUsGmdVOtUiEJiO8OxiubFQIzqvi7uB/FHzgwz0fU+MFbvKIRfm3iBzzrEcCXG\nEEZjW8my0OE6gUBLR4zDTQ249DHlpbjkVGNueu0JnzVxmZNLHQtOO7GsQioaTek3pqLOdFQT5PWS\nzednJietl/ql2VlnhcTlDMcomseY/7k0BSOmsHCazudrRcGeW1lha7Oz7GnNZ/iPLV07tM8SR6yU\nYFeECqM+dGtDFjpcJ2AQOsoyvCJdDLgy71T+3tQum5SCSxU+cGodi5hWIZ2wU1cKqohUWnEIbNbL\nAejtx11dDdRy2qFF8y7Oz7PtjY3g4FYdv9FlQYTQVKzMKKowFoKqy8mLiDH/2Ip0FjpcJ6AROvgh\nuFUUSuZ9p6HMO9WBSKW1phZkGKuOSdj2aXdrS+n6CYXJNL2Loebe9FouVdABdVy8IB2lEi61o6ir\n8uJbNG97c5OtLSwEnVNXfhMLMTKjtjc3K4k1q6qcvIiYFZxDBTNx37PQ4ToBjdBBiV52JeDQQjUU\n5k35PPVApOrUyqETZO5a2kf7oAomobqo+gD7LoA9WhTszMTEQYDr9sZGtPlRi3ZVCZ9MB91FGTt9\n1kVYMF2CFMGEf8a1nLZv0bwY57SOzBgZIZlRVcSaNTVlmVLB2TcJQKcYvPHGG1nocJqARujQbe7A\n8eCFanA+Wnpomq9qvLq+IyGMSBbsdjEMFOOC3bqHYEd5V0omIR74KzMz7KOTk2ON6AYY1n9YW1iI\nMj/e0bgpmUQcVEFPtTclwHZGdHBhaiqq5cOH6ZouQROD9ymnXZbDjsk+nZFVay5+nxJrUJfrgAoX\noYI6Tt3nYqeFhyK0grM4fhfBzKQYPPHoo1nocJqAQuigHLyrJ09WlkXiW93PR5LVWR5WJyejMyK5\nAI+ce38biHaA62ASO5qiZfxnryiCinSJwuH5bpetLy8fBIo1IZPIp3plCbAbADsFe2GuEKTQhlX0\nbyqnLc5NrtL6+sQEuTOy+H7Ot2Qhfm307yszM86ZJPL/V5X5xJhdaAgRfkzBshRFsY7svRR8zLV3\njPzzk0WRhQ6nCThYOsSDvNpqWbWvWNp1zPQsE1HqNM5dgJ1WMM0QRhS71DAFVTMJXXl2cd18LERV\nuyN8QWGQ8kX5LMCuI22KsYxUWruKxlXCwDWAbW9uMsbM7RMoc1+bm2N9qIX4uxg2irTR++7WFrtV\nFEqh5bUAQZmKKuJ7dGfoVlGwUw88QAr4FVF1YbuqhR2T4vvWUODIQgd5AoSYDpEh6irh+aS9hRaq\noUq3vk3qxDmnaMds0gJDL2YbUjMJXSM6lYVof3/f6dl1+ZN9QGGQnA74xUylh6anaTN22Jp3EbC6\n2kJ5hq4lAP+hWNd6vR479cADh6r7DjCs9nvqgQdYr9fzWgu5J5EKVaVZ687Q7mieTT1bMUoVUPZB\n/rzJ8v92FjriCB3yRb8LN+0rtm80tXTb7/fHWreLFogUKZix20c3DSZLB49ZWGy1nLW5JgT6+UC3\nh/wCWMOwwJOJHkoMG+81qdiYCeLltm250Ha3toJ5RlmW1t5OFMFF19jQ1fLIrRbnu112dmqKLbZa\n7MLUFLvY7Sr3rSqBmlp2vQlnK4blx3UfZGRLR8wJWOp08IveVnRGRYypMiZiX8C6CHtV34ObOFxE\nKUTwoUb2V+lDjgmd1skFOFmTpGhzRyHQzxVlWbLLp08fVAE1CWqUJmxNgqi8UC60UJ4xGAyCS6TH\nChqXyw6MuXsU+1aFQK07QwPU3z5ARgzLj88+yMgxHTEnQGht78voj4oZnI9TtGzYDuAg0gEsy5Kt\nr6zUXoAtBcpS3YhuB2Em3DpqBKRGWZYH1RR1MT5NN33rwLVMSoluSlEyG0Loo9/vRwsaV/EV05yq\nFKh9LR0+sWshiHGHuO6DCiYXf85ecZ0AQehgzO8g15VW5Qo5i4S7UKrq38HX6U5F65RCUzGlpsmN\n6BaKItj8fRSEWVfweelceU9Z6LGpbiUOGw853+16p8qKCKGP3a2taJZHn5itqgTqlDEdMQNhY1h+\nYsXO6Vz8x7JOB4DvBfAVAL8D4MsAPmb5/B8H8M7o8/8CwLcaPksSOnwPch2Rxi6QtQvRhXIWIFkg\nYlziqdcpBiNQNZFzeeZgMGD7+/tR/Pax6kw0CeK85HTRxcnJsZgj13VTQfx86jUyWTFeKwq2Mj3t\nlSorI0TZWZubMwaN7wHGi1cMUnzhoYecXRZV1tNRrdFro+wVXwWo1+uxlenpMRegb9v6UF7huw+U\nsXEcu4qkAD4J4GsArgGYB/AzAP4jgA9pPv8UgPcAfBbANwL4IQC/C+C05vMkocP3IFfJ1Hyhk6Z5\n6p1K6wrt72BCqpgVH7+oKZff95kxtDmKkFZF6mFsqOZFbdtN1YLFdbkyM8OWOh12rtNhz8/MRF8j\n+V2n2m22J1i6+Hlanp5WBm/yv7tetj5CPL+gtEHjAHtscnIsJVtHZzw2xMViWqV1WLdGvr1lyrJk\ny9PTWkuJT/p/DJqnWjp8rUjHUej4MoDPCf8uAHwVwF/SfP7vAfiC9Ls3Afy05vMkoYMx+kE+asye\n0uExdn8HGSkFshArlU6w0F0SFI0stjanWruqUg9TIkWMlFx8S3W5xloj1R70MaxDcqbdZs/PzBzw\nkBQVfzlczpboar2J+0HjlzF0PTzz8MPWOcpnxDWWoA7rsGtFUhUorinXfYwV03GrKNg6aJZrVxwr\noQNAe2S1eEH6/d8E8I803/l/ALws/e4HAfyq5vNkoUOErTzuUWL2VO0itgm0KuHM1y9qmmcIczGt\n9+XTp4Pmz9d0qdNxZjBNtcRxxNCCxT0NCayjgNIAkLFmZSSpxtwfrZWqJL1NYVmZnmavBTTNbDpN\nirg0Oxs9+yUGzfO6Kz8HtZAd2rz0uAkdMwAGAJ6Qfv+jAN7UfOd3AXxS+t2fA/DvNZ/3Ejp0iN3B\nryq4aBcxgptSCGeqdQth6Kb+O6HMRVzvWCZ+cU2pQWNHzSoXqgWLe5q6JoPLOWlKRpJ8ydnSu20W\nmgvdLrv58svswqg+xJlRbM6l2dlGxbaFgvOZFC6MUJoX667Eal4q4v0idPwVAL+k+Y5K6PjzAH5d\n8/nHAbBnnnmGXb169dDPq6++6rwBvhdyk5g/JTApVJqv0lriw9Bt84zFXGIKX3xNqUIRbxR3lKxy\nInyCRvmexg6sM72L8vwmZSSJl9zZqSmtxexOUTgF97pWwjxqCA3CpcBn7WI1L2WMsVdffXXsnnzm\nmWeOldDRWPeKCr4X8lFzycQMbnIVzkRQ182XoZvGuIM4/tGYl42LFs+Fs6ZcdFXBdY18wM+3yzlp\nanq9bQ6LlqKJR7FmjC947ITKhXEbYCvT05XvY0zXne4zVVs6JpAQjLH3ALwNYI3/riiKYvTvX9J8\n7U3x8yM8O/p97PEd+ndRFPjtdhtM93kAv91uYziF+/ix7/9+fPadd/CJwQD8LwWATwwG+Mw77+Cv\n/sAPxB56EJ6+ehW/MKHe+p+fmMA3v/CC8fuMMUy99x4Kzd8LAA++997Y+sqgrttf/JEfwY8vLOD1\niYmDvWEAXp+YwE8sLOAv/PAPK59vmudKUeD7p6ednynjS3t7eG4wUP7tE4MBvvSFL5CeI6/p0wB+\nQfNZvkex3n2UIO4pZY2ouHfvHm6+/DIuP/IIvv3hh3H5kUfQ+sAH8PPEc9LpdHDrzTfxyy+9hPW5\nOfyxhx7C+twcfvmll3DrzTfR6XTIY4kFyjn9A3/wD5Ln6Pruo4a/+CM/gr92+jQ2igJfBrAO4I8B\n+GYA//30NO7+q39V+T763kkcKrq++fLLuHfvXrIxW5FaqgHwJzCst3EN91NmfxPAh0d//9sA/rLw\n+acA/B7up8z+IIYpt0Epsxw2c76P9njUemnE0MqqtJYMBgMvv6htnr6pdRyxAwjlFvGmXjn9fr8x\nwYtVQq4FoopXcLUuyBY33lfnCYB9FOqU8zoCKGOa5vlczne70Sw0TXIx+0LmM2sNiF1Jkb0n7u2x\niuk4eMkwJuPdkfDxJoBvEv72zwD8denz3wng/xp9/l8CeM7wbKeUWdsmuF7ITYhc93l2jOCmENO+\nbd1MjcFco8cp8/Tdn5gBhKrOyDdxv8jUuU7n0NibErxYNUxBvD7pmeK6y92oeSv7pwG2OjlZeQBl\n6EVOOacxUlyPmouZgqYI7L5KIpVHH0uhI+kEHIQO6ia4HsI6mH9MrcJXaEllLUnVGCwFE4kZV8ED\nQ6mpuFXEdKRivLGeG6N4n5jBYUrDvUNoKx8TMS5yHyXKB+/H+KIq0e/3nQVDqiU5Cx0JhQ4fN4hL\nY6SqDlxTtIpU1pJdjPdPGCRczxCECl+y8Hi+22Xry8vDmgGWNU0VvJjKTN5E87vcIK1JrdFjZoil\nLtZ11FzMRwG68yJXlFXBxQL/1ltvZaHDaQJEoSOlG6TqyHUXZlSViTDmuvHCXdy0vYZheuQahr72\nC91upeO0wZep24RHCnOJfaGkEmibIijLEKtQpk7DdUWKizxVrEndLmaXsR4FxDgvJvrpA+zMiRNs\nbW6OPfPhD2ehw2kCES0dIW6QKrQJDts8LnS7jdModVAFbl2YmhrzrR8cOqj7R9jeUdV6uJZdTl1O\n3RWprHZNNb/LtRmq6sxsw1G6yBlrdnxREy1sNsQqny4/owTYDQwDpLn7+u2hwJGFDvIEEsR0hCJ1\n0KgtAPOxyckx60HdGiUFYn2EWEV6mqphM9ZMk3SMMblUh61zrqoGaSa6q1o4avJFLqOpQmWTz78J\nMesgydVpr41onT+vaqEjaZ2OpoFS74ExZnoECbqc6Riw5W3/TwB+/Pd/H996RGqGiODr9vTVq/in\nAJ7TfO7bAGUNCtXeNbWGCmNxap00ZUymegBNnCtw/yydAHALwC8D+N8AfB+A20BQ/RZfiGsQWk+n\nSvjW0gHU5zYWXM9/1TSoAuW8/Be/93vWscq1Y85PTeH7APQAfCLymJ1QhWST8gcedTpkN8j25qZX\nm/e6TJupGpk1BXJwn8m0bDOdNlHD5miiJksdk0j7FG2S8lyX8xR69kzly/sYpirzBmmpu6TqaLjX\n6zWyyqkOLi7mqlwelPPfRPeLatxijNtqq+U8zrW5ObaP8bil7F5JLHSI4JeWi/mtCQSqC8C8UxTk\ny7rpsDWiWhsxC1sgpotfvOp1aaJJ2tZ1dH1lZYz2tzc2rPPQPbfE0Nx7rtOxnqfQs6f6/o2NDba2\nsKC92F1ih3xgo+HQAnZ1wdYssQqXByUu5srMTCPdL6qaPcoYN+I4xbWQ45ay0OE6gcDeKy6Mv0n+\nQZ1WQbmsm4AYDeUon6FUZKxDiBQF3iZpsroxvVYU7NQDDyhjhRbbbZI2KT+3D7AnQavHEnr2TN+/\nOD/PXtncrOVij5WJdhQUCQ7bnHe3tqK9y3b+lzqdxgn+jI2fw10cjsPwGSdfi10cjlvKQofrBAKF\nDhfzexM1U8YOM5ymjpExN02VciFT9s6mua9MT1cmROo07bouPNM4ZYF2fWXloL22vM7rmj3gP6Ir\nTHzuUqczVo9FR6uhdE39ftWXd4j7rwlWVx+kcB3oYNv3c52Odf0Hg0EtQp14XpYsjfkobmK+FnKL\nhSx0uE4g0L1iMr8NcNj83uT4AI4mas/iuFwueJOPmJpSaKryuTw9rbxIUwholPk3UVul0L5Pmulg\nMHA6T6Fnr4lnNyQttklWVxeo5hzqOjDBxA8vnz7Nnp+ZUa67mFq61Gqx1VaLnet02PbGBmk8Mc9y\nrPRpcS143NJlDK2NVQod76vsFRmqTJB7AG4CuAzg2wH837/xG/jB7/s+lGXZyAh8GU3sdgn4ZZF0\nOh384Oc+hy9+5Sv4x7/2a/jiV76CH/zc59DpdMjdFz/wgQ9o1+PrTpzAJyrq0kqZf8qsJ18URQHG\nzNH0TwO4q/mbKcvC9Ezg/nmyvd929kK/nwohHUSbmpVlg2rOP4Zhd89PAFHmIu6jiR/+wy9/Gb/z\nwANj638Pw+6yvwjgpwD8i/19fGl/H//nvXv45p/5GXzHE08ou7Sm6uga2mmWQ1yL75ybw68+9BAw\nN4elT34yaHzOqEKySfmDiDEdNon7qMRLiGiK9qzTNAcBmqaPyV0MGq2y+FITNW0X2Kobnmq3na1r\n8jPlCrSLrdaBiT0006dpmUKm7BmKte0o05M85xil56muJvk8q9Z/F2DXYagTpOjBk9rylMJtztci\n915xnUCg0CGanGyFgdZXVhobL9FkyBe8qrz52akp50yBUFdSVRfRUasuqYKN6W1vbjpnWbgI/JQM\nmZDxV3F2fbJnVOt31OlJPLeqFE7XuYRc+KoCWo97CEKp6Sul2zwLHa4TCBQ6GLsfO7BoCda50O02\nMl7iKIBf8LrL5TbgtYYh5eervIiapmm7woXpUS87F4F/e3MzuLFenWc3dvbMcaAnapCkbS6hGUBl\nWbLtzU12+sQJNjfiT66CUBWWp1StNrLQUYPQwRhde/BpMUx5dxOQchycMcjpWjEvetfxV3kRNUHT\nDkUKpkcV+Hnabcj7UzFtCmJnzxwHeuLYCZxLaC8qzgeuY5jRsQa34Og6LE+2Z7m8KwsdNQkdjLlr\nDyFE1JR0t6rGwQ92Uyqm8r2r6iKqW9OOjbqj82NVJK0KsTXh40RPIXOJ0YuKC3Bc0PCJ6WiC5cmX\nl2ehoyahYzAYVKY9NCXdrepx9Pt9dmFqyulyiQnboUx9EdWpaTcdTWDaqeAqVLm4p44DPalquLjM\nxUQ7Oxi6bk08XS4PXgLsIoappHcEJWkfw2aTawsLY+Pa3drSpt/fqcDyFMLLs9BRodAhX0Lnu122\nMj3N7iTWHppiGq1jHHVdLqpDuV+DoMfRFJdaU9CUM5EKqSvjHjV6MikArnMJ6UW1NjurLA9eAmwb\nYKcxrNVxGmBPAOzxEyeUtTp6vR479cADY9V1bwPs1AMPsF6vd+jzsfcr5PxkoaMioUMnGd4qCrY8\nPc0ujYgxhfbQlHS3kHH4Hpq6LhexGp+cOXMNYNubm0nea8NRuyxSoKkl4U2IeTG6VsY96jQT28Kq\nox1qLypdeXC5cqdpnLtbW+xWURwU3Hph9N+bo/3ld0gqwTKEl2ehoyKhg3L5peh10JR0N5dxiPEP\nofEfdV0ua3NzrA915sxdDOtMhL7bxSzehHieOuFSEj510zUqQvZNRff7oFfGPU40k0Lx0LlnKLWV\ndOXBd0HvdyJf+vL/88xHm6Al8xDKvofeKVnoqEjo8JEMY126tnr/VfmvbQWfzpw4MeZ6MgVkUVG1\nL5ofSlmTEee+B7BdT2bnQhNNieepE5Q16Pf7jbpkY+wbT81c6nQOldZ+/MQJ5TkcOF5YRwWpLL2q\nmBiKgCMKhGJ58EWJR+jGSbn0z05NaQVLXffmXq9H3vcQt3UWOlwn4CF0+EiGsZiOmJoVU9L3TnxS\nsQAAIABJREFUgSpVTew5IPondwBycy4XpLLoyM9dm5tjayNhSnav7I5+75tB4EITxz12gQJKobGm\nXbIx9k1FL7+Pww3zVO6/U6PsC9W77ygyKZqM2JZem9BPtazKitDa7Kw26H2gGKft0telhHPriqrT\nsktvqBzTUeFPKkuHLBnGYDo6Mx5/515RJGeq4iG9MjPDTrXbbK8o2EA4ANcwLhTFKFWcGiYGtPPS\nS+wSNFUvR7+/MjPjJAT50ITNDNuEdUyNo9huPIZ2roorugKw+dEzdIXz5GBIU7n4o4BYweRUod/V\nsqoSJFTC4FKnc/AMEy+4UxRaAUa2voo/LuUFQtzWWehwnUCCmA6V9hCD6chEfBOHg45EIk4B1SHt\nY5iTfqbdZmcffJDdxriAMUB4qeLUsDGgXq/HHi0KrYXpzmj9ZcQM3uJanoqB7Y5oou51TA2TpsvX\nMkYb71hjtY3Zhf7luCL+/1zIV11A8tnTCSZNDbhVIZa1L6T3kvz/pudrqygLSqLt0tfFluiUOR+e\n6+u2zkKH6wQCs1d4emyJoQthFWCrk5Ps4iiFjadwhTIdCrNNfeHYDum5TkfbC8GnfXmVoDAgne+c\nz+HcSOhIGbx1vts1WlvOd7uVrlsdMGmQlwD2ZFEEnbUQ6PY+tNmjKq6I/z+/1HSarXj2TJrxUXHP\nxQomTx2Xx8epsvyq1tx06av4k02wCOG5uSJpygl4CB2cCM53u+zs1BRbaLXYNxSF0q/GD0EMk2Dd\nBZBM798H2GqrpSV2mdmJf2+CX9m6trOz7PmZGe0BZwB7fmaG9fv9pMFb68vL2tiY2wB7bmWlymWr\nBTYN0lpbIfCc6BiybC0TFZGFEX8Iuex5XBGfm/j/fYBd0DxfPHtHwc1JQWgweVVxeZTAf9Waq7JQ\nVIKWidZvYBjgnlrAzEKH6wQchQ4V4VGCJGPGdKQmIhEuJmJu1lZpU7xK3/fgvi96CWDLGLcMVQ0q\nA6IICS575LOfNo350uxshSuXBjYty6ZB7hLOoysoGq6p660u4M9FO9956aWDoFGVlqsTKPi7v6D4\nju2iPQrwHW8VcXkxA19Vgtb6yooyWLQE2McwXhV1AH1VVF9kocN1ApLQQfXTUQ67KMnGMAlWVaPC\n10TMA/hUga59gH18xHT7ir/bNIbUiCVQuJhsXfczVY2WJlwyPqnDOg2S098e/C94+V0UDVfce53g\nfRND7fTC1JRXw7nFdltp6dC9k/+8VhTsuZUVa2O8ut2cVcJViKCcbdVZSmGhFmsfqXjItRGvVcX+\nXUfcYoZZ6HCdwEjo+DOf/CSJ4fGLl/uSLwHsacMlIF4EMepLpK5RYWKwthQssX24mK++DrCPCubl\nJvqVXfPxVZfZV7/6VefeMK77GTNyvyl1LHzM1pRGXWdHF7tLxoEK1EKA4nis/nRPi9T2xga7PYpZ\nkc+RLqtNFLZMPT6OSkxHLLgI/SZ643fBUqulPEupLdQqHqISyMU5xnSjZaHDdQIjoeOnRmmfJobX\n7/fZ6uTkmOnUJ2AnhnaZQkOllFs2HVLVAZCtJE30K/vm4/PLjBfiCYknoOynjYHtbm2R59qUOha+\nTJkqgJliMCiCF9V6xT+ncn3YhE8q5EJUz+Kw+VzMJnt+ZmZM2KrKWlonXNa13++ThX4VHVBKnVe5\n5rwCtCwgyeOm0B91HbPQ4ToB7l4hMLzdrS22imEMh6hhUDV31y6QdcDGYC90u+RDqooHScmQQ+Gb\nj8/Y/YsztRVHxcD6GJpTF0cXjc1q0bQCYy4uKddqkTpQBS8Xl5Y4npTZWiKdXpmZYUudDjvX6YwJ\nGSZh6zh0lxXhmlWi+qytXL6K3qjnveo15+nVu1AXMtTRn48FNAsdrhMwCB0yw1ubmzuIRhcZisms\neXF+nm1vbBxkuiy2WuzC1FStgZM6pGqhzdjhiyUWQ04pmLg+m89PW7gNUJpsfSBfOqfa7bFgMZPV\noikNAxmj0dyVmRm2o2CE3Lrko0G6CCxUi4ooEMqKien5IXTsUjfC9v2jChfLXYiVTyXw+1htq6ii\nfGNjgz0JdWr9k1DHdPiuTRY6XCdgEDrES5Yzx/5I6JA/JwbsPD0xwS7PzbHtzU22trDAbhXFkSnI\nkyotV2TyIdaAJsUicMgXpyp46+zUFOv3++TxUxmTqhS9aS2b0jBQhK2Hz6l221i0zUeDdBG8XASU\nshz2Rzl94gR7BPpg1l6v1zg6PqpInTEmQhT4r548eVAmoK6zpOMnn33xRW2K9h7AXlEIHb5rk4UO\n1wlYLB1rkqVjgGHqp4lh8bTFqkzurggNmvOBzRdNEcKaFosgQneJcR//mpDBZLpAXS8iH6tF3fVe\nZJho7hro6a9U5u4qeLn45MU9loOpz7Tb7JXNTadGXK44DpYLV7icgZhWvsFgUOtZMvETMcspFl/Q\nrU0WOlwn4BjT4SJE8E1sQuAkVcNOGfRE9UXr0LRYBNexUYJ0Y2ZwyJeny1irhInmfJgnBa6XBdUn\nr1vbAWh04LP+Max/R1VYcTkDKax8dZ4lE62tG+aommfI2mShw3UCI6HjJ6XsFZMW89rIXSL77e8I\n3+Gb2ITASVcLQRVBTz6+6CbFIsigCGum8e8AXhUrfTStJmYw6LKedFVg+bh9z07IZRHaTycmHYfG\nKBwHF4/LGYhtmajiLOnozTQXn7g537XJQofrBEZCx5/91KfGLllVNDNnjhdGgaFnJifZ+QcfZJdm\nZ8cuZqqlI7U5OxWDrRL9ft+5BoYLYszTJKzZNAlfa5jv3jY5g0HcC1OfFblTpwtSXBYUbfHqyZNR\nte2Q/W+qq9IVVcZ0qJDiLMkC4aXZ2UMCoY3WduGuxOSYjop+5Iqk/X6f7IZQRdSLn+OFeOqO6Yih\nWTWhA2zsnhopNT2XyoQh1rAYl2dTBEsVXDp1uiLFZUHRFmNq275nu2kuthD4xNykskzEUl6eXVxk\nt4qC7eC+kL0KsOXpadbr9RhjtABsl3n6rk0WOlwnIAgdOun/rsTYqAGB57td9tjkJPv7UKdR3qlA\nqwjx1TXF/JoiILfX67GV6emgXhi+81CNP0Sginl5Nk0A4WftGmidOn0Ra96hsT0ucwk52012VfrA\n5Qw02crH2JCGdBmPdwC2Mj19wJtNdLS9uek8T5+1yUKH6wQEoUNu2CSaclcBtr6yYt1sOSCQP+cJ\nDDtNnhnV6VC5Y1IhxO/fBPOrTw0ME8qyZMvT09qsiDuJND2TJmErMe9yEfmMqwnCpQ5l6depsw5Q\ntMWY2rbtbKsaAMYMqGyakMqY25iqHj/lfbwelE7B2gNIbRlEOkpZwyULHZ5Cx1tvvTV2uY2ZckeX\nm6nxmSkg8E5RsN2trcoJ3Uezaor51aUGBhW8sqy8h+Jep7rEdJpESKGr0PE0RbjUoYm1RUygaIux\ntG3VOeWKDm8spxIiQ1w8TRdSmwaX9eK0To3xaoLVJgsdnkLHt3zoQweFXkxm/NtFYQxoVBGLaDVZ\nbbW8D2lIBUvXC61J5ldKDQwOyhpdmp09iKFQBSfuYlgFM/UlJj+/DgbSFOHShrpri6QMUA6hM/ls\nc4XJVqFWbBznsu9HQUhtEqjrJdKAyJ9chOy6hO4sdHgKHW8LAoNNytS1h1YFBOqsJtRDGkurcLnQ\nmqZZUnyXfI2unjxJ1iT6mr25i2EQVp0MtKq1bZJwaUIdwtFR0ejFs312asqatVCWJbs4P8+eVAgn\newBbW1jQzvGoCKlNgc0Vv76yMkZf2xsb0YPmUyILHa4TEISO3dGFY5Myz05Naf3vMrGEBD+m0iqo\nfsWmEL3JUnNxfp6df+wxdh2HrRXXAXZxfl5rxdkZfUbrNy2KY89AYwiXvOhSalRdW8T37NXt4qEI\nkWJG0E0cdlVeh7ovh8vzq0Lda02Bbr24MioHsr8+4mlLf+gPVR5z5ossdLhOQBA6OCHY/P3nu11S\nQGAJsHOKZ1EPaROr3dWl0egsNZ/59KedGxvx6PDFgL05LvANMr6xscGWOh221Gqx1VaLnet02PbG\nRlIrQJXuJ9d+K02wiFCFSNWeU+KZmmABbcpaU2BaL5sy+pkXX2Qr09NjvXuqyHgUx09BFjpcJyCV\nQS8xLCG7B7W//9roIrMFBL5WFAc9F3wPqcwc5P9PeSlWrVm6QFyvpU5Hm0p5B8PiUTLKsmSXT59m\nzwbszXGBq3ApmublLKLbMJvmZcTqrmr7nM97qBp902IcKNksIYJDU3uN1M2TdNCtFyVQtI4YL9eg\nV8ay0OE+AUXvlT7APjo5SWasqoDA9ZWV4WctxKU7pFxK1gU6lhVcik2IjDZhMBiwJU18DV/fpVZL\nW4PElobZJL9pKrgKl7tbW0FuKRNTi0XLoZYYF42+aRZBynhCBIdsfXWDasyq2D+b4FelC9Mk1KnO\n75/55Cez0OE0AYXQcXdigq2dOTPmUxs4EDg/2CExHee7XXUQKoZuoPPdrnEMMdFEjX8wGFhbS69q\nhA7Gms/EqlpzF+FybW7Ou2S7iqn1MYwjWGy32fMzM8Hm8liWGOrF3KQYB8ZoQmQI3ce2gLrQuMta\nN4Vf6dariYGilIB9lVDyU0WRhQ6nCQhCh3h4eC0OlaVhB2AXDBe+qCmFFLRaX17WBhPdBthzKyva\n7x4HUFLCbNaKcwr3CkcTXUh1+6xtQaNXT570LtkuM7XQzC4VQi0xurGqlI4mxDioYBMiQ+k+1ALq\nQ+OUtb4yM2NtTVEHVOu1vrLiXQwwFT3ZhLqlTkcplLw9FDiy0EGewEjoeObDHz7U6I27NnSWhscm\nJ40FqeRGVTdxOEqc0qjKVISM+2ePG2SGdL7bZevLy+xit6tkJNsbG9oUwT2AvWKIxOfva4oL6Sj4\nrCmWDp2WJjO1ECtgyPgo1ge+F68F9L9ogotOd0HFonvXCzCExim9Rpp8dhi7v16ugl9KZaQsS7bz\n0ktWq7HOlZ2FDk+h46233jq0EdRStDroTFWcsGwMtalaVErIDIlS6KgsS7a2sMD2iuKwJakonIIa\nGavfJNt0dw8fo48lQUXPMYQD+R0hlhgZlP48R2HPRKjmXSXdh6yX6bvXRnziqOwDY3TBL6UyIj7b\ndB73Aa1QkoUO1wlIXWY5dKWyqUwxhum+6VpUbMhMhaoJN8laEYKmxQeoYCssdUlTG4Wxw/PzCaaj\nIMQSI4NyQTbJRWeyajQlzTSExk1rvdhuez03hcAVu89JSsFWrNmyDn0Lj7sTE1pXdhY6XCegETr6\n/T5bnZx0ZoriAb8yM8OWOh12rtNhz8/MOF+GO0dMi2Is7BDLDMlHE67bWqGDbVxNsWxRNOGyLNn2\n5uZBdsgTExPssXabPX7ihDEYVGaesYQD+R3XDcKqS9E3l7TZuoRem0DRJJddDBpXrfXu1hZ7fmaG\n/NwUQlhKwS6lMrI2N3dQmfkW9N3QL58+zbY3NnJMR5QJaIQOxuwxFTJTNB3wy6dPkwhQFlpOtdtj\nroMm1MoQEePAyQwplSZcpVDiui62ok2pLFuqcd7Y2GDbGxvWsff7ffKlJmuqu4jfrt5miaG63Hwv\nyKrpy7b2KbXkFPVPXGhcfD/1uSmEsJSCXUplhD9btCiL8YdXALaA+5ll57tdtjI9ze5I8/zJnL0S\nR+goy5KtLy9b+xiICD3gppTCM6ONb5rrIOaBc7V0UBmUb7R8CHzWRTR1yhlT12AuTx1znH0Mq7mq\nSjTLY/cpLsY11fWPfIQ9MjERveqibInhdTpeGRX1o6IJ7s1Qs3tsLTlUwfBtNGcDlQ5TCGGp43pS\n0qHOHSlmXfYFfnQJYI8WxSHr/Z/91Key0OE0AYXQwRnxraLQmptUTDH0gIvEK188qwB7dnlZe7jr\ncivEPHCuMR27W1vWZ7pc/jFNpD7rEqvGROg4XbJKfGlePGO7uJ/Z9TQOZ4eo4ELrIb1h6goSpdKh\n9TJyrD5qW6cQBaMshwXbeNHFECuUaWy22JoQHu1bpZUq2MWsJ0Sl+Z2XXlJWzeY8QJfBebsoDqz3\nuSKp6wQUQod8+d8UmOIqhvUx5MMRwwzGibfEUNiQNU35YDYhQCymJiUzDlVTpD6GWj+1mBQ1Lia2\nidR3XbY3NiqNwleNkxpLE0LzlDoYIqqkdd+0xhig0mFInxVxvc93u+R19RXC+JyuYyhM+zSa43CN\n9xCtwj70aqO7UL5PoWsqHfqckbIslUG4nAdQFJAsdLhOQCF06A7qwHJhhJjBROLdhj6KmNee0DGn\nu0VRaUOg2P5GmXFc6HbZcysr7NLs7EGMiymFlj+DHz5bmXS+lzG12pB1qTKDRTVO11gaX5p3mWcs\ngdB2YakYdq/XixYkSjkHLnRIWXtba/WV6WnyuvrSJm+wqGp+OSB8P6Z71IVeqXTnewZcrbCUgm8+\nZ0R2eYk8gKKAZKHDdQKS0BFbe3O5uDjx2jrTnut0rK6YdYU1JgVS+hvlNaZYLcTDtw/6BRr7svdZ\nlzoyWHwsHWtzcwdj8DX9uswztGw3VZO0Mez9/X3n9Y0RTKyjw9CUXrEjtm1dQ2jzfLfr3fwytgXS\nhZZSx4n4fi/23aOikTWAzD/feustloUOlwk4WDpsF2moOXZ3a4vdLQq2atno1VbrkCtG6XODvcx6\nDFTp96YwZJ+0zBSXve+6VB286BLTUWLo2jrX6RzKcllbWHCmeZd5hsaN2KyBNmvA+sqKl1vH9cJ0\npUMns7tCS7Zl58nr6itIn52aYq8Tz6KM2PzFhUe7pEz78H1fuk5hIZUtKUudDrtdFKQ9y5YO1wlY\nYjpcCd1mBjOhLIct1xctG31mYuKAOZl8bncSBruJY67C7+3rw6b4JBmLf9n7rkvVwYuqcfLsFTGr\nxJTRcnF+nr2yuelE89R5UvddZYWgWgN1e6+KKXLRsn320pUOTfxGZWXZ+f/b+/bguo7zvt/iAqZC\nAI4IWzZB2wBlizT4ACCSlsVQMUkQFDRmRLmZzkSq0xC1GxtoQkzcpjGhjgklcSZKPY3jxHWajDPN\nNH7VNjVtRVK2W9dulDgPj6jWycSK0kycuIYrJXbse10rrWXc7R/nLLnYu3t2vz2755xL7m/mDgng\nnse+vv19336Ps2d5p9PxItq+c3NffsTpuhYp/WHbTE0Vpm0y2ocAUuS+z/1NFrPQSlO3270qF87A\nHtaeSAe1AQXRK9QNI0TMfqfT4buHhowDfRlZ3RaxGEOnkvZ59zJEy+V5YsHts/hnnNB465sK7qlj\nGWOzd3Fs011Th/Oi+p6ry8ubiMT06KiTg6vrvKFo6aZMiB1kxRf3tVpaK4SLNfDk3r3GxFI+m6QM\nnw2zzDxUHSBtVhYfgkOdm91ulx8fHi5ci6bil91ul5T0S35P1yMtF8d+1/5xuafP/WOMpQs6nSz0\nfNfQUE9YuzzmiXRQG1CQp8M1L35or/pzS0vasMnHkGmbq8vLV49iQibQ8m2LfH8qWaGctxfVwinK\nSyB7yx9ptbRjKepshM4ZofaLS5vb7XZtGS5NGUl1/Sr3kxzR4gpX57hF9Gpbtro8omijjTxcHjCn\ndy5D6H21z1Ck04W8+IZ1U+emfIyji1zZPzKiJeKmyAoXYhTCByS21TGkz0jMdzUdz4m+TKSD2oCC\njKQCJkHqUhDKB51Olq9hEb1hZXN5bQuRCdJWH4aSQIuyWG3mvlDPU03kNquFbfHpcnuId/HJGUFB\nUZvnpqa0GUCLKhlXBXkD1SUuOwfw27duLUW8i5zjdON+HvYCX67WQF3J7i7KZ8Qt4xtWlnS6WFl0\nBGeDIL9cCebayorWYVWQeqFEqfNndWmJnNI+5OYb2+roen/fsYx1zK0ikQ5qAxxIhw6dTofPjI0Z\nBV9ZfwpZ8JzeseOqyVvemI5NTPCZF72IlDXVBMpi1W2eInOqa/4M1+epC07VlPYPDmq1Y8rio+aM\n8IWpzR1AmzCpjvoYJszvvFajQT6moGQv9XmmSUO2+T0Jp2IXa+Cp8XHtnClL6ENsgGXSW7sQJmFC\nV7O3ri4tBZt3RWtybmqKz+/ZoyXi+4aGrs65ngSNyErZq+8YOgotBAEsc3/qWBZZJGIhkQ5qAzxJ\nx9pKuSq0FMiOPerifIQxvmvLlp58+FSGWyZUz3RmLm88qvB0eZ5twXVhNlFTBEVVuTFMz1lD+Bok\nIaA6ES6iV+t08Xtw2Th1/lCmsXcN5aNYA3VzZmF21jmkVIc6/HMEQvoLhIBpTZqKiHVxLcRWdyTz\nEDKyqB7txgw5r6rYIlVW6hK8CYfhKpBIB7UBnqTjxORklIJkJtjC+u6ZnSUx3DKL1TVCRBdiKY4M\nXJ9X1kHK1v9V5cYoek4sZ2AfmI7N1tfXCzMX6sa+yMmz6FkuZmXX8MtOp8MXZmdJ1sCQGUlja8o6\ndLvdWmuRuLyfAHWM5XHQrf2qQ85DoWgthEzwFgPXFekAsA3AhwC0AXwDwG8AGLZc898AdKXPBoBf\nLfg+mXSIDSRGaW4TXLVxn6yLFO9n3eZpKxikWwyuFXwpQtHkBFm2b0ONo8kZs0ryWoQirffk3r38\nB7Zvd3p3F8uXi4ZdNPZnAOfCYeJZPtbAkKQh5hiqa9tUETRkLZKysBH+NZgzM5sIUV1HWmVgW3fr\n6+tBErz5wtYf1xvp+ASAJwG8BsARAH8G4IOWaz4L4NcA3ALgJflnpOD7XpaO+Z07C6MpLgLBtIQQ\n2rhNyJvMnLrJKwsq08ZjM7svzM6SaqKYtM319fUeIuVall0ghrZHyRpYJXktgq0fdFEeund3OXIp\nm01T+AK4WiFCkIeqNyNXFB29zoyNXQ0lD1GLhArbtUWkp43Mb4NiafK1TsWIQnTF6tLSJnIlO2sv\nILMUn1ta0ubCOf7yl0chjZT+uG5IB4Cp3FJxQPrdPQC+C2B7wXWfBfBuwnMKSYdp0Yh6Ajpt/hLA\nZ8fGgk7Ystq4TcivLi87b+4Hhoc3LRLdxmPbSI9PTDgLB9OGITQA1aGV6tgY6uzdtlBNzzkDukYX\nA7Y5Nj0y0jOHdHWCXI6LKNkei5Jf+RCJppIHX7gQuBC1SFxB2bBc5BJ1jKnzoiq/FtOz5WNLnZVw\nA3r/uHa7zY8MDmr7rgxppPbH9UQ63gTg68rvWgCeB/CGgus+C+BZAH8D4I8B/DyA7yn4vjY5mGv+\niAtKmOURhA2zFKBq4z6Om66b+zrAZ3EtY+UaNjtCuh4Z+OSjsGVIdNGydSirCbsuVN1zVpeXvVKJ\nh4RJ65W1rjsZyxIFMca7+d/msDnyxmXsT+/Y4aVhFwnP641IUFDmiCRWmnFK6L0r4feN5LGhDr8W\nAbW0vJBfutD0M9hcidcUzCD3ow9ppPbH9UQ6HgTwlOb3zwJYKrjuRwHcDWAfgH8A4H8BuFDw/U2k\ng7Jo1A1kfnIympOYy+I0kSWK46aAaXMXTPyRfFGcBPgpgL8K4I9KE556ZOAjUHTCNoRTps+7+BY+\nE6jD4VCFLjxZFyK7CPD9Q0P8wNat/BLo4azzDpaOpjr8NQ1lj0hCR9hUlXAsJOr0a5nfuXOTzJrP\n15jOJ+oxbA4Tlo/4dSTlR7CZpFDeidIfjScdAB5WHD3VzwaA3QWk468BvJXwvLn8nrca/n4QAD96\n9Cg/ffo0333rrfxOgJ8G+IcdFw3n1WhaNlNzEVlyddzUQZ6EOkuC0HoXcS1SRRQMiqU96IStq4Ul\nxlhRF2oTtXZ1w7BZjXQ+HjrLl27s69Quq0CVY+hC4Gz+XqE2/bIbeNVzv6rotaJni3Um5FfRursI\n8LX8uOy+l71sk7VRl15+fs8est9SUX98GOAvvekmfvr06aufo0ePNp50vCgnFUWfQd/jFc3ztuZk\n5m7D3zdZOupkvRSoi6Ao8dQZgO8eGvLyG1AnoYslQc4rEvPIwMfSEUODdhVc7Xa7Nmc1lzaoY1bU\nlxvIUsrr/iYsJEX1GurMYRELdTkj2ta+GrLuenxJRZ0beBnUaXWTk+49lq85V2uteO9V2LPzUt+J\n0h+Nt3Q43zhzJN1QHEkXbI6kmvvcld9nv+HvV0lH3ay3DEw1R8RkFhNbzXrpIuTFvamWhNhm05A+\nHWXhksCnLmc1E3SbpPCSn5+c5HcZLBHiM11QgK+NLL140dhT5gdlfdSxqdXtjGiqFBwjU2wR+vHY\nrKowW1uq/4cAvh/Y5ONRJGPFtaHz/NywPh08IwSPAXgCwB05eXgawAekv+8A8BSA1+Q/vxLAO3Ii\nMQngPgB/DuAzBc/YZOmwHUPMTUyQBrAIoTQjE1lSN2D57F2EYrmQAHkS+loSYmwERcK2SMuOAdtC\ndQ0Rrgoum6Q1mkVTs0TXJl+BTFkfdYY8cl5/ki2VwOmqAncrmG/9eGwWM8yWGtHWgZtPlLj25N69\nziQlVn9cb6TjZgAfxLXkYO8HsFX6+2RuxTia//xyZMnB/gbAczlJeRiEPB0LMzNGU9UlgN8zO+s8\neEVQhb74+Goi1KOGDbgzYHkSulR6lRFb6zRFg+hi2qvWNuWFaiOzVR/bhahcaQuzLtPfVIfuuq1I\nMY9lVXJh2+jkTL46B8PzyELWY6Bfj81ihNn6RrTtGxlxPgrvdDrGKsk2RTBUf1xXpKOSBkiko9Pp\n8NtHRvSVTJEdT4RarCLPhyoQ1pCltqVqBOoGEdqpUkzC4xMTfPfgoPW8vg6t0zcjaSiYFqpP9JAP\nKNe7hlC7REzFOEKjaMx1a9cxjmVNR1+m4mjyJiY7GWozwwJ89+BgtArGdUejlEWoMFvfiDYqcYs9\n/2+ojKSVNCAnHY8//vhVU5WpwFAn0ObAOc/O+A0CwYfc6CZqLKfKovwaTdA6q4RpLlDzpPiMxdXK\nkkSCR61cGcPvwgaK5SC283fVqfRNm84i3JPIVZkxuQhNcxoNBZc5V2Zeuq67qpz2i5BIB7UBOel4\ny/33a51y1P+HcITqdrv8wPCw+ZgC4AeGh8kLdn19nS/MzPD9g4P8roEB/irGome6dI0uqvtNAAAg\nAElEQVSiqUrrdEUZYeiz0YfqF/nZp8bH+a48KolK8Hw2yao2EAopiuX8TY008h1f9b06nQ5fmJnR\nrluKw2CVVbBvNLjMOd8EeKbnyShyAK/DupRIB7UBOem4Y3ycd1Fd9MO+As//DYDvHxwk3U/nI+Li\nVBl6I2lyyHGIYx9fS04IbUR99hrs+TBMaDo5pJCiUFYGMT+O5UeIsVLpm+ahyPxryjJJOS6NlSK7\n3xGqvS5zLlaKeZv8qXpME+mgNkAkB7vlFs5hro56EQhmqup2u/z48PCmSag6fO1jjJ8nbIhFsfqL\nuBarLxwtKQXRKO0Knd46FEId+5TZrMuedavP9gmVC1m2PSZ0Pkqmfg5BoOT5QXWWlu9hG9+ieTgz\nNsYvM2YkF9Tj0jIJAa8n2JSNWBmIYxD7JioLiXRQG6BYOsRG/RA2+3RMj44GFcSyQHApBW6Di4VB\nPv+L5XPhyu47nQ4/X6GzaajFGsqSUzbtO0XzLdKsm+rw1+l0+NzUFD+D3voTc1NT2o28DIGihIWX\nSaVfNA+FhcP0fJ1lS3xPN4ebuEFVDZO8ExV45yYmvOSPq5N1aGLfREtyIh3UBig+HeogdiMt0LWV\nFf5Y/ryyRzoUC0NsQeQSZvm2N72J3zow0GO+jqllh1isdSePU5/tovm6ksymmdk7nQ6f37OnJ5nd\nJca0qZ3LWpF8E+C5QnzfNA/l55rkQQfZcelHkYW9CjJmKjLZdGsWBb7zUyePhJKnzi2q4uVq2QpF\n7OuQP8JvqgiJdFAbIEWviKqxLgu6LGSBEEKzcrUw+Gy+oRLLzE1N8WO7d/MpmNP2Xo5A8EIuVtd+\njlERU322C1mtS9stK/jKvLcPIaCk+qf6iAgL04nJyZ5jVR2JLDrifd2uXXxm2zZnwh4rfLWqI9Gy\nPli69RrDb883AR4VZfxEXJ/fbrf5uaUlPj06yqdbLX6k1eIHR0b46tJSytMRpAFSno719XU+OzZW\nmQYuFpWphgVlQywS0hcY4wuzs/yEQ2prm0ne1eFRJ+hWl5b4IlCLV30opy6Xfqb0GaWf1WebNid5\nvoY0x9rmYMj8LFWbkeXnhdiUTBamorl/HtdCYtUj3iPIEhOuLi1VRsZ0baoq/06IY2CTshE6bXiV\noJJx1ygs2Yn6tlaLHwb4BfRa1Ka3betRwBPpoDZAIh0xtMKqYvxNFoYLjPFdW7Y4FfGimuSp7Z/f\nuZOfQD2VYEOGrLr0s0ufUftZ92y51Py94+ObNNkQFh7XjSb0nKnajCzPDxcyR7mf/FmD2cp3gTE+\nOzbWM4cuMxaFRFJQdf6dUM7BarbOWMdnVcHVl4QShaU6US8C/BHo/QwvA3x2bGzTeCfSQW2ARDpC\nLWiqRhByQ1QtDAuzs1d9R4TQq8Mk3+12s9h11FMJNuT5tks/u/SZTz8Xmct1569FPgS2vqZsNKHn\nTNWFw+T50Qb4OYBPIyvAdSey6K8Hl5fJPiLqu9sq8BY599bpU1T1MV1ZWSzGcxG9zreu8qfJxMMl\nOaNrFJbqRC1S5bsmlkukg9qAnHQ88cQTQRa0j0YQw+HL5LhWtUlexvzOneQJHRK2DdsHNgfBoj7z\n7WfxTDn81URyVQ1+DZvNpQuzs0HIcOg5U4cvSqfT4avLyz0J1zYs61dFETkQPhsHhoedsk2qqJqM\nuT43pIUlBLmSq7eq8u48iq1N1CNSUxuqQFFyRtdjJNmJ+jTgpBjK451IB7UBBEuHy4L2FZYxHL5M\ni1c+L75rYKAybWptZWWT6U4lPpfQa7org6J3LOu3ot6L2me2a7rKNUVhr0UkV/z9AmNac2kRsXXd\naGLVHqkj8qIs2RHjJCf/0xVdEyH41HVUVzXbqi0sZWWxfL3qH3Mc4LcODPDLxCNSW62aKn1eTKBG\nYW1sbPQ4UVOPwBPpoDYgsE9HqNDMULC9z4nJSfI1vtqUyL1wGOAfzwWx7Cinc1LyeUbVPgic+/WZ\nzgolb077Wi0rsZjJfQCK5myn0+ELs7OklPjUjSZW9sUq84jI1Vl91q/OtG3KwXNJ8tOgoC4y5iNH\nyqBs9FKRpYkD/NT4OF9zOCIVa/IIwI8PD1cmT3zQbrc3RUe5HiOpTtSLsDv7y+s5kQ5qA5Qqs2UW\ndJ1nrib4LN6Y2pQwYavhWJTz8qJ7x/BBCFV1suiaogRxRcTCNRIoxvGPLHjqrnTpC5mkvn77dn6Y\nMe/1qxvPM/BPVV/0zlUndTPlu3DZkH1QVhZT5q7tKNolaWPdidhEf8nyYA10n44OwOcAUlqDRDqo\nDZBIhxi8EEmGXCZ7FfBZvC7XhNgEXBLPmK7TIaQPwvGJCZKptGw/F/m5mIiFrwnVdTOl9Kdr+5vk\nnCeT1Ha+wVA0PBW6TeuQ5X5VVMANAXV8O8g0aTUywpS8zfeZvrKYSgJ0CqPrps15NT4vLj4s8ju7\nRmHpxvZtAN8J8EeVay9r5FkiHdQGKKTDdZBNqJvx6uCzeHXXxKrZ4toGGwkI5YPQAfjuwUFS+Kup\nz1z72VQA0EYsfEyorpsplUiZ2r++vu591h1zU5XXqhDWq3AvH6++pzqnXElhk4hYEeTxvX3rVmM/\nXQT4g8vLQZ9N7SMfJUBdI6a1JXwmfH2aqL5NLmtHvLtKNGRr1JHBQX5iclIrk4zy3qFybSId1AYU\nkA4f1HXm6gpfy0KdZ5Yuzw7pgyAnaZIFDYU4UvrZ9u5FxEL3rrpNsgoHZ9VR1nXsdM90JSllNmx5\nDswjy3kyhyzVuJoi+1HAqsHr5lQd4eExoPbzQSX/hdquQ6OjNb3pNVCVAHmNqIRR5wx8YHj4qnOp\njdQfI1pOxfu7ljAQ8qODa+He0znZOATw27du5d/85jed+k23porWWSId1AYEJh2c13PmGltbqtOC\n4/rsUD4IwsSuEzTnkR29lIVrPg0bsTAllLKZUH3IsG6O2QgCdd64CNoQUQKyoBYbjLB26Ao+/gjA\nz1m0d11bKSb6psHUz+1225pF+Uir1SgLjsu7qGtETUvf4wyMa5XHbZmKZ8fGyAob9bi4rXnPDWRW\nj11DQ9H2n0Q6qA2IQDpkxFx4MUK0TO9bVyZE12d3Oh2+MDPjbBo3bcKXGeNHBgfNTmTIjl5s4XM6\nFI2Xi9AyEYb19fUeT3xXE2oZMuxCEKjzxqVgYCiLm2rpUK0SXWwee9eEVGrG2MMwJwOr2/JpQtHY\nnty7l++Xfq8b1+kaSEeI54k1cnxigu8aHOQX4UYci0i9S4SZDpS1I9IRGPMfMRaN4CbSQW2AhnQ0\niaGbEPK4w0ZeQkXl+B7t2J59anyc371vH38kz0WhOk7pnJ9Eu3Wb8NzERPAEZrbxEmGxRcTCxcfm\n/NmzlflK2AjC2soKed7YBO306Ggwi5v8/ucBvgC9dWst/71ujqs/m87GH3Q4G28SdGMrHzHuHhoy\nRuVczsepCsRQvMRaFbltXCPEiuQJVWGjytxOp8P3DQ3Vohgm0kFtgFRltu7ELhSEriViIy++UTll\nhUKn01s/oWgjMhXKslkm5M1jbWUleFE6l/FytUTU7WMj4KKJucwbMUdcChJOGxxufcZF1k7byMIE\nTdatu5Gdy4vrXOY09Wy8SZAdE3VHjFPDw/wwNJERyCw7q0RHUp9+ibUG5LXaRpZMrGhO3js+biSj\nZRQ2atjvvePjXs8pi0Q6qA3IScedr3xlrQKcilDHHa7kxbdOSBmhIK5fRHGuAxMpaecCcl+rRSI8\n7XabHxkcDLqAqeNVpqpwFb4CrsL0PPG4pMjxcgMIUpFZhkz0bmu1jLkJLiEjr00ge7EhxrboiPG2\nVosf272bL2Kz78siwOemppz6oaxC4rsGbPNDXau2sGeb06yvwkZtX13pGhLpoDYgJx3vNSQFqtrZ\ny+WIImQSMtfN0McRsezGWFQ/oYvsnPLk3r1ahk9J7KODzSRKWcAhx6tMrZfQcLViFM0btVS77fzc\nZvUqI1htY35ictJ67NBkx1AK5nfutB4xri4vXyVsp3fsIB0bhSBvlGMLinVKXavTMCs9LkdJZSLH\nKDK3LkUkkQ5qA0TBtxoFuG1B6P4eQvj6nBtSHBGtm5IldXJR/YSTuFa/QvccF+evIjSpaqo6/icm\nJzelOy5DYsrAtY+K5o0pC6QpoZFKUkIJVtNa6Cp9ajt2CBHZ1ARQjxirriFDsUZSCY48J7sAP2Wa\nk/nvT2mOV2SUiRyjyNy60jUk0kFtgHAkrUmAuzoYqn9fhF8SIxWq0Ff/b9oMbf1hyoIpC+u7BgZI\nGof6jmJcdAKMUiWxaFxCLeCy2o46/mUyZ4aCTx+5FL0rKkgYOvRX58SqIxRvB/je4WF+pNWKEtnU\nJHS73ShHjDLKWupcSJFYA9S1p35f5HARc1IoPQ/lv3dZaybyQJkrrmG/VadrSKSD2gAHS0dMAV60\nIC7nZZZ1f+8gD8VjzCh8XWuGPMKY1mP/AjHMStXI1Syb1CMPV+uAuhF1ESYTZMgF7LtZmsz5azDX\nRqjSzF+2j2xjrCsk5vNMeW6eGh/n06Oj/NDoKL93fPwq8V1dWroaASXPURH2egnXLBohI5uaAJ01\n9eDISBRiG+K40eX4xzV/j0pw1LW6hs3HK/K9fNZau92uJGihKqflRDqoDTD4dJQ9p3UdcJ15WSYA\nUzCz+TayI4YyqcrX19f5ri1bejIwXgb4ri1bnKu+6jTy88rGSD3yoNb+kDciU1pxX4EZMgeAbrO0\n5UdR58UxgM+iWfkf6igbQEn6JNdYUU3lnxgY4HNTU3x627YeMifP2zW4h1D2C0zWtEWEsabqUOa4\nUXV01R17CIuTL8FZX1/nCzMzfP/gIL+TMX5roLV2PToiJ9JBbYAUvXKBMX5eEuxHAD4zNkbaeCkM\nVl0QqiWAorH7hlGurawYE9eo1QSLYKpCeTeuFYWiHnn4WgdMRy4+AjOWtiDGyyU/islC9AjAdzLG\nT0xMkB35moIqzqF1NVZM80Kn3cvztp3LBeom1mSY1oqLNTX0M3XrU1ezRCbjD2HzsccaNoc3U/3f\nVDnazcd9EeD7h4b4vePj3mvN1O6upt39gkQ6qA3ISccnP/lJPjs21lM10WWD49yfwcqMXycQKbUb\nfDbaUFEQpvsIDX1fq2XNwaAT1r7m+7LOW7HNn6b58hhjPflRTGbkDrL03IdGRxtVSI2K2OfQauZR\n03zXheTqiP8cYU32A4pkgM6aGmJsbOtTFAk8NjHBDwwP832tFj8+PJwl7jt7VutQrFqnXUPuqRbW\ntZWVIH2t8x0SzvH9hEQ6qA3IScdb7r+fZMpXN6WFmRmvVLfyBNcJRMqRhE8uiFCZRl3uUzaO3KfS\npM/ZfxXmT3ncVeFzBOALeU4Ik8OcybRcppBaE4hI6HfQ1Vgpmqe65GPquqQeEzYZFBkQemxM61M4\nz8v+NW1pjdwN8KnBQT6zbRu/XKBUuITc+/iS+R6fqYXZbPVcmgp1HiTSQW1ATjruGB93mmi+0QSm\niSrud5kxrUC0hRCqpngqgQiVUMblPnUmtHIVmFW9o2weLhI+X/nKV7RRBNSNzzRvH2GMz4yN8bmJ\nib7IxOsDV0tHF/o062pfu67JfkFdSaVkqBmBPzEwsKkA3xyy4w3ZKvAAwPfffDM/MTmpVSpcQ+7V\n9wiVU0cH8U79RlyLFJZEOqgNyEnH0VtucZpopmiCMtESgvGbnB+FJrx/cLBQY/cRHqE2Wdc033XE\nkdtAqf0RwklQFmxFwudybsrVJUGi+scU+dyoTsT97NSmA8WnQ2RItRVtC3XG3wTUnd1WhViDYo6f\ny/tfF6IsUq7r0pC7htybnh+DhIm+LhvSXyVs1t/HH388kQ5SAxwtHWKimSYkxffChCKnTrH4ixh2\nmVTlZYmA633qiCM3va/K3M+fPVtZ/QJVsOpI5jwyH4Pp0VF+SYqu8iG5MRKo9QvkuSmiV1SiJc9T\n3RwtKtpWdj7UfazVJGVAkAV5jvtmBK0q/bh4bxd0Oh1+cu9evkBcvzFRtuTCWx94IJEOUgMIPh1F\n7DmEAC+7+H2vD0UEqPepS9gWMXdbpcZQpua1lRX+mOZITXfcotO0KSTXNG/7SdsqC3luqnk6iuZp\nrKJtVTgrU98npDJQpo9kQr6Rk47CI7FWS/u82OnHfcfQJ6ImNCjvbiNvrx0fT6SD1ACpyqzLRCuK\n0rgb5WO5yy7+steHIgJ1a29FKBJGZ4BNVoVY2r8QbKovkIm8dpCZ80Wkimr9sL2nLvNsiARq/QhT\nRtKqYNrUmnKs5dsnoYiU7NPxGOwhykck0iG/e9kItiI5WtbhvM4jLcq7u/i4HL3llkQ6SA0QadCv\nXMkWjWXDLjoCucAYv2d2thHaQojrQ9+nKbCFCO4aGvLKDUJFp9PhC7OzmxIwuVgf5JwsZYpBhTgS\nTKCh0+nwhZmZaEm36kLIqC9xrwt59MqMZZ7ePjJiJDshLDhlrSi66+s80gpdvfaOZOnwIx1vuf/+\nnvN9eeAFiz82McF3Dw5aLRr9vlE3zfxLQVHfuzD3U+PjVvLJeZg+uhq9NDDAN0CzPrgKVBNJUTPG\nXg+bX5Nhsm7piGW/IbTmLub28YkJflurxS8a+uujAJ/Zts1Zaw8F20Z8fGLCKhvq8m+jOssnn45I\npOO9StY9edKqLF44+t0F8CODg/zE5GTfeq7rUFWuipAIeUap+kOYnmfrI1czvix8dHkiXKwPuqRq\nan+cW1ri/+zNb+bTo6N8utXidw4M8FcODPRknLxsyF9wIyCmsmDy4ykilv2CmFFf7Xabz+/Z0zNP\nLzLGp7dt88qPVAY2xaWDLA075fisSqdRakiwzSqTolc8SYeuyqyYtLaibNebRti0EDobqCRpdWmp\ntN9GUeroM8h8L0yFxYo28/MB+r4oJ8euLVt6wkEXAb5ncJAf2Lp1U+bHfrFslUVVVr2iiCV5nEIn\nyYuNbrcbPerLZBXQhZOHIjtFKCJZ5xGvZk1Z+DqxFlllUp4OagMKSIeYtGVZfNOEhA1V5KoICWph\nuLmpKX4YvWGTFwE+v2ePU7lpXR/JSaOKCovZIonKnvWa+mMN+uMUUWNDLQHQZMtWKFRl1dPlZtGl\nwT6DLO+E7j1jEaOy8qnT6RRGfW04ECkKZKdR30ReZdtcpLg09fhMzPVF0NLCq0gZScs2oIB0cICf\n3rHDa2L3q09E7Ix8MUAhSXJq5IdwLUPh8XzjPTgyYh0vUx/JkSemKBSXhV32rJeaS0ZECYTWzJo0\nR0yo0qonZ6Gdy+ebSkovISO+6tl/aGIUUj6trazwRfRmbRWEagGZ5S+m9ci09mWyE6rNRYrLo4A2\ng3Ao+VlmTfmmhbchkQ5qAyyWjnkHS4etSmG/aY5F7Q2ttZQFlSTp2uZjldDdR97UQ+XAoAoZU390\nYXZSDZmvo9/IdpVWPZngrMLdiTeGkyZFPtnm4PzOnZvWkK+VzweufRNSJpsUl5PIjip1lYqL9gsb\nQq0pn7TwLkikg9qAkj4dPlUKm+YTISAm9/To6KYzyaq0Fl+4kkIXC4XreKljLG/qRRu8jghV1R8m\nX4JQ79pvZLtqq558dEYheqGJkWvJApeNTi1i9hCyZF5V+TS4HkeGlMm68ZCfravf4/usUGuqTFp4\nGxLpoDYgJx2/onhGq2mRKefs/eYTwfnmyS2niq5Sa/GFSaCIMbJV4vXR9HVzgmLpiGktovp0uLyr\nS6XhmOmjY6HqYmdiMz/SammfqZKdGMTIJdyTstGp96s6063LcWQomewach8qB0dsshRirifSQW1A\nTjre+sADhZOWkhOh33wiOO+d3HVoLb6QCYBcAnsB4PuGhvjq0pJR4ymj6atzQs4SWsanI2R/yELv\nQh69opYDP2MYYzkSR6ftqtqwqWChKtibdARTl1WSsgGE3Cxc5NOB4WFSGKrch3Vb+UxOoyFlsst4\nhMrBEVKBjTXXE+mgNkDKSMq5m+blcsYZS3tqgkned9LHRKfT4avLy3zX0FBhFIbNQmEaLxdNXyU/\ntsJisftDJ/TW19e1xczm9+zRVlY19eX6+vombdh1s2m32406gqkrMyRlA/DdLExz1iafXMmjgNqH\nTcx0G1ImU8ejjNNoSLIUa64n0kFtgEI6QiCG41dMzdDH+bAKrYUKW7+vraxwzostFPLHpunrIN+b\nUlgsJkzjoyYAUvtEdxQjhNTC7KxXWvUm+jvVkRlStwFsGDYAymZhkxW2Y7DLjPHjw8PkNS/34YHh\n4cZZR0POuyqJqgtZosjfGHM9kQ5qAyKQjpCTsirnPF9LB1VriUlQTLkzxHHLkVZLK4R142XT9F36\nve7CYr7odrs9nu6iD0U+iSnJB0p8XI6Umu7vVOU4CeucyBB7pNXih0ZHNx0Hyt+1bRZFSeFmxsb4\n3MQEv+9lL+PHJib47NhYzzGbkE+mhFvComVb88KaVUddERN8ZLJrFuGYRNUlCaGvIhpqrifS0QDS\nwXm4SVmVZkh1PqQ8v4ozfJ21Rlcm3kQcXDX9OrW1qqBGJKh9uIHMX0YnCHVOx0Kwt9vtvvR3kmEj\nklSt00ehUJ8hftatYTEm6jGfICInJid75JN8H5VwHgH4wuysde3WYT2ywZW4UWVVzPkaSyEKiUQ6\nSpKOGBOozD0pmmHZNMMU50NXraXKMEq1r3ydOVVNvy6NvM7NV7Tf1Ic6C1gH4OeQOR/vA65q7g8u\nL18dZ7Vf1f83KQeMgLwR6VLbn1ta4qtLS2RSXUah0G2OuvTWLmtAd1QiV3lVSTvVYtFEEllU+bVK\nfyPXUPQmK0SJdHiSDrXKbBPyULiGZ50PZEWgOB+6ai1VnuGrGtohzcboQhx8HbhCZBmsyipkg+hL\n1yymJouIKrDXVlb4I4z1HNesISO4VQpMau4RXfh4Ga2TSmzl6sLq5miyPvk6gnc6Hb4wO9s434yY\nqEpWlVnjTVGIZCTSQW2AQ5XZOlE0wdoA3zU0FIWZuzgfln3/0AtE1tBOGoSwjTiI+7gWRfIVILrr\nzi0t8fk9e6KMZ9F7mvrg5N69xj4UJONi/o4qCTEJ7PX19cxypmzSlwG+a8sWvr6+7t3Gsv2gg7wR\n6awGZaxpLsS23W73vO/CzIw2pFUlGGUdwZu2ucVGFe0ta02pOiWDy30S6aA2wCEjaUzYBrWIfZ9B\neX+L0O+rfrfqM3xZQ/NxghVCYdFhE/UVIKbrFhEnJ4rueaK67L6hIWMFXBv5aiPLvnhy504+7Rhm\nubayYswBcbmi/CWU8ZI3It18KhNSbtvkjhmSdJkKiumIn68jeL/mG/IFtb2+7Q5hTYmd0I5KzBPp\noDbAocpsaFAGtcjruqiyY8h3L2MOrCLjoyoAbP4IRQucUhTJV4CYrouVE0WX+M3Vwdalja4Ce2Nj\no1LtWZ0XPvkVRLt0VoOylgTb++jCkoueKVufRJK8Msn9qs7WWjdcSKBODrpUpXZ9hsv8j3kM5EPM\nE+mgNsBSZTaGJk4dVJ2vxdrKCr93fNxb4HFOP9PWva9twcVaICYiJEdIGIkD4KTZ6ooi7R8ZMTpF\nugoQU+2GWDlRyjjYuoYamvqiA/DzyBJOnd6xwzn9ty+KCLLPeJW1dBRtzLa+NYWuFj2zDfC9IyNX\nk+SVSVLXxJwqFFDnUVF7LzDGZ8fGrspBMa+PIKsqO5cTEluUSwjrUcw8IZQxF2vtjvHxRDpIDXCo\nMhsSZReyPCF9NJEyZ9ryRrKWL7jjw8PelpoyZbmLiJAsrCnVFE1CQQiYeYDfNTDA53fu5OfPnvUi\nfUWCJ0YmR93zqBYVl1BD13DNmNkqi+bFyb17vcYrlk+HrW+Lwottz1QtJPIaEAUbXRzBY25usVDG\nKlvU3pmxsavHghRLoYpQ1qNYIcmuxFxea08AiXSQGlBAOi5G8KavM5d+2TNt3wUXeoH4mKVlAUIx\nKRe113a8ZRIgpjmgO5OnbGAubSprUTH9Xiewz6PX56jsJl0E27xwdQ42tUtnNRDRKxeB0huz6ZhQ\nfVfViVd9pslCwpFFuVBkTBPzbZgQIuTV1F65T8vM4RjWo5BOo66WGLkdV5BIB60BosqssoAvI4sM\niZ3AiiLwVVA1kTJn2qE2jRALxEbcRJVMHw1N7aOi9p4BtOnTbX1RlGXwMDKyG1KzVJ8Xy9qgCmxd\nDQ9TsqoQ2rNtXviWHJfbpUttv7q8zB9cXg6+MdvM/ffMzpIsJD4yRkbTnUZDb+iy06jcp2V8r5pu\nPXK1xMjfS6SD2gBRZRabTfAPIcuBEXqhhXbOomgiZc+0yy64EKCEGvpoaKpQsJ2f7xoaIguQIsEz\nNzUVfANTnxfLoiJjY2PDOE5XKxi3WsHaWFXJ8ZAZSW1w3aBcLSRlSWXTEdNJWdy7rKWQ82Zbj3wc\nxxPpoDZAOV6RF3eMxRnTOcvmNOqjATWpbLUAVahS30cIhfnJSX6XYazkjWzNk9zYBE/oDUzW1ncN\nDQW3qKgIXawqxPOaLPB18HnffncA9UHsEF+5T0NaCptmPfJxHE+kg9oAg09HrMVZp3nN1/G0aWWr\nqxSqlD4LkZG0Cogid7E336o3v6pKjteFukuYNx0xLTxyn55HPL+kJoDqOJ5IhyfpeKLCxVmXtuW7\nCcjv24Sy1VUK1RtBa4y1+Va9+d2om60O/WbRCYHYa1X06fGJCb57cDCI83DT4eI4nqJXPEnHa8fH\na1mcVZfSLiuUm1K2uiqhmjaycqh687sRN1sb+s2i44sq16qvz9j1BLHWXltxng7Gs427b8EYOwjg\nypUrV3DgwAEwxup+paj41re+hV98xzvwuUcfxdbnn8dzQ0O467778JM/93MYHR2t7B4hwTmPOm5N\na2+/IvY41f28hPpRx1q90efZk08+iUOHDgHAIc75k7Gfd12RjoMHD9b9OpUixGK50RbcjdbehIR+\nRVqr1aBq0jEQ+wEJ8RBiQfre4yMf+UjpZ9eBfhZi/drn/YzU59VD9Hk/r9UEM4YU964AAAikSURB\nVKKRDsbYv2CMfY4x9m3G2N8SrvtZxthXGWPPMcb+C2PstljvmOCPJIyrR+rz6pH6vHqkPr++EdPS\nMQTgYwD+jesFjLFzAM4CWALwWgDfBvApxtgLorxhQkJCQkJCQmUYjHVjzvnPAABjbJFw2U8AeCfn\n/GJ+7RkAzwL4e8gITEJCQkJCQkKfojE+HYyxWwFsB/Bfxe845x0Afwjg++p6r4SEhISEhIQwiGbp\n8MB2ZLHCzyq/fzb/mwk3AcBTTz0V6bUSdGi323jyyeiOzgkSUp9Xj9Tn1SP1ebWQ9s6bqngeKWSW\nMfYwgHMFX+EA9nDO/0y6ZhHAL3HOxyz3/j4AvwtgB+f8Wen3HwPwXc75Gw3XvRHAh5wbkZCQkJCQ\nkKDihznnH479EKql418B+E3Ld/7C812eAcAAvBSbrR0vAfDfC677FIAfBvCXAP6v57MTEhISEhJu\nRNwEYCeyvTQ6SKSDc/51AF+P8SKc8y8xxp4BMA/gjwCAMfZCAHcCeJ/lnaKzs4SEhISEhOsUv1fV\ng2Lm6XgFY2wWwCSAFmNsNv8MS9/5U8bYG6TL3gPgHYyx04yxaQC/BeArAP5TrPdMSEhISEhIqAYx\nHUl/FsAZ6WfhGTQH4PH8/7sAfK/4Auf8XYyxrQB+HcDNAH4HwOs559+J+J4JCQkJCQkJFaDva68k\nJCQkJCQk9Acak6cjISEhISEh4fpGIh0JCQkJCQkJlaDvSQdj7McZY19ijP0dY+wPGGN31P1O/QjG\n2IOMsc8zxjqMsWcZY/+BMbZb+c4Wxtj7GGNfY4x9izF2gTH2EuU7r2CMXc4L/T3DGHsXY6zv51kV\nyMegyxh7t/S71OeBwRjbwRj7QN6nzzHGvsAYO6h8p7DwJGNsG2PsQ4yxNmPsG4yx35Cd5BOugTE2\nwBh7J2PsL/L+/HPG2Ds030t97gnG2OsYY48yxtZzGXKf5jul+5cxNsMYezzfb/+KMfZT1Hfta8HE\nGLsfwC8CeAjAAQBfQFYg7sW1vlh/4nUA3ossRPkksoJ9/5kx9j3Sd94D4AcA/H0ARwHsAPCI+GO+\n0T2GzEH5MIBFAP8ImVNxQgFysvwWZHNYRurzgGCM3QzgcwD+H4B7AOwB8JMAviF9x6Xw5Ifza+eR\njc9RZA7wCb1YRdaXPwZgCsDbAbydMXZWfCH1eWkMA/gfAH4cWZLOTQjRv4yxUWS5PL4E4CCAnwLw\n04yxHyW9Kee8bz8A/gDAL0s/M2Qhtm+v+936/QPgxQC6AL4///mFyAT1D0rfeXX+ndfmP78ewPMA\nXix9ZwmZQB+su01N/QAYAfA0gBMAPgvg3anPo/X1LwD4bct3vgrgn0o/vxDA3wH4ofznPfkYHJC+\ncw+A7wLYXncbm/YBcBHA+5XfXQDwW6nPo/R3F8B9yu9K9y+AfwLga7JcAfAwgC9S3q9vLR2MsSEA\nh7C5QBwH8GmkAnEhcDMyxvy3+c+HkGnTcn8/DeDLuNbfhwH8Mef8a9J9PoUsLHpf7BfuY7wPwEXO\n+WeU378Gqc9D4zSAJxhjH8uPEZ+UNTXmVnjyMIBvcM7lTMmfRrZe7ozdgD7E7wGYZ4ztAoA8f9Nd\nyCx0qc8jI2D/HgbwOOf8u9J3PgXg1Yyx74Uj+pZ0INPEW6AXiEuwgDHGkJn1f5dz/sX819sBfCef\nrDLk/t4O/XgAaUy0YIw9AOB2AA9q/vxSpD4PjVci09ieBrAA4NcA/Apj7B/mf3cpPLkdwF/Lf+Sc\nbyAj6KnPe/ELAD4K4E8ZY98BcAXAezjn/z7/e+rzuAjVv0FkTZOqzIYCg+ZMK4GEXwWwF8D3O3zX\ntb/TmChgjL0cGbm7m3P+POVSpD73xQCAz3POz+c/f4Extg8ZEflgwXUufZ5kjx73A3gjgAcAfBEZ\nyf5lxthXOecfKLgu9XlchOhflv/rPAb9bOn4GoANZNqgjJegl40lOIIx9q8BnAJwnHP+VelPzwB4\nAcvq4ciQ+/sZ9I6H+DmNSS8OAbgFwBXG2POMsecBHAPwE7lG+CyALanPg+J/A3hK+d1TACby/8uF\nJ2Wofa5GELUAbEPqcx3eBeBhzvnHOed/wjn/EIBfwjXrXurzuCjbv89I39HdAyCMQd+SjlwzvILM\n0xbA1WOBeVRYvOZ6Qk443gBgjnP+ZeXPV5A5Fcn9vRuZsBb9/fsAppXooQUAbWQaTsJmfBrANDLN\nbzb/PIFM4xb/fx6pz0Pic8iccWW8GsBfAVnhSWTCVe5zUXhS7vObGWMHpHvMIxPsfxjntfsaW9Gr\nCXeR7z+pz+MiQP9+XvrO0ZyMCCwAeJpz3qa8UN9+APwQMg/cM8hCsX4dWRXcW+p+t377IDtS+Qay\n0NmXSp+blO98CcBxZFr65wD8jvT3AWQhn58AMIPM+/lZAO+su3398oEUvZL6PEr/vgZZRNCDAF6F\nzOz/LQAPSN95ey5HTiMjhf8RwP8E8ALpO48hI4V3IHOKfBrAB+puXxM/AH4TmfPzKWQFQH8Qmf/A\nz6c+D9bHw8gUlduREbq35T+/IlT/Iot4+SqAf4fs+P1+AP8HwD8mvWvdnRWgs38MwF8iIx+/D+A1\ndb9TP37yibqh+ZyRvrMFWS6Pr+WC+uMAXqLc5xUALuWT8VkA/xLAQN3t65cPgM8opCP1efg+PgXg\njwA8B+BPALxZ852fzgXsc8g89G9T/n4zMotUGxlZfz+ArXW3rYmffEN8NzLy/O18s/sZKCHdqc9L\n9fExgwz/tyH7Fxlh+e38Hl8G8M+p75oKviUkJCQkJCRUgr716UhISEhISEjoLyTSkZCQkJCQkFAJ\nEulISEhISEhIqASJdCQkJCQkJCRUgkQ6EhISEhISEipBIh0JCQkJCQkJlSCRjoSEhISEhIRKkEhH\nQkJCQkJCQiVIpCMhISEhISGhEiTSkZCQkJCQkFAJEulISEhISEhIqAT/HxUqXAEGQNTxAAAAAElF\nTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1226245d0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"hi = np.array([hash_incremental(row) for row in rs])\n",
"plt.plot(hi, 'ro')"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"(5.3001759796763197e+18, 5.4241044320451062e+18)"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"np.std(ht), np.std(hi)"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": false,
"scrolled": true
},
"outputs": [
{
"data": {
"text/plain": [
"(1.840582196343738e+19, 1.8401524980142295e+19)"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"range_ht = long(max(ht)) - long(min(ht))\n",
"range_hi = long(max(hi)) - long(min(hi))\n",
"float(range_ht), float(range_hi)"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"4296983295085792L"
]
},
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"range_diff = abs(range_ht - range_hi)\n",
"range_diff"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 2",
"language": "python",
"name": "python2"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 2
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython2",
"version": "2.7.13"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
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