{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Populating the interactive namespace from numpy and matplotlib\n" ] } ], "source": [ "%pylab inline\n", "rcParams['figure.figsize'] = (10, 4) #wide graphs by default\n", "from __future__ import print_function\n", "from __future__ import division" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Audio Filters" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [], "source": [ "sig = random.random(2048)*2 -1" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAh0AAAEACAYAAAAXwMQ/AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzsvX3Mbc93F/RZM3vv89xSylu1IK1pwALGqIgCBiE00hpS\njUQTNKghAY3EWOAPExWUUMSXNAFCDAlBQVQIov4HSkWMqSEgAqEQIu/SYvtrIcqbpP0+Z+89s/xj\n1ppZM3v2Pvuc537v7e93zyRzZ73OPc85+2XNmjVrETPj2Z7t2Z7t2Z7t2Z7t827uY3+AZ3u2Z3u2\nZ3u2Z/s02tPoeLZne7Zne7Zne7YP0p5Gx7M927M927M927N9kPY0Op7t2Z7t2Z7t2Z7tg7Sn0fFs\nz/Zsz/Zsz/ZsH6Q9jY5ne7Zne7Zne7Zn+yDtptFBRP8FEf01IvrTBzL/KRH9RSL6U0T0j7zfj/hs\nz/Zsz/Zsz/ZsXwrtjKfjtwP4uXtMIvomAH8fM38dgH8dwG9+T5/t2Z7t2Z7t2Z7t2b6E2k2jg5n/\nIIC/eSDyzwL4r0T2/wDww4noq97Px3u2Z3u2Z3u2Z3u2L5X2PmI6fiyA7zb49wD46vcw77M927M9\n27M927N9CbX3FUhKDf7Mrf5sz/Zsz/Zsz/ZsVRvewxxfAPA1Bv9qoVWNiJ6GyLM927M927N9Uo2Z\n20X559bufc9+yM+m7X0YHb8HwDcD+N1E9I8D+FvM/Nd6gv+tv39y9g7x3YjwMiK+k/4yILwzeMO3\nvPBuRDzivRsRLzVOHiBEOGY4xNK5wF0+IijL8Ean5tcyDBL3UG9M18XxSPgff+2fwDf9qn8U3OG1\nc1KIGOaAYV4xXNcEX1fBLf2At4TbuorPK67DBa/TCz67vOB1SnDpl2ZM/TNLu+zQlWbmvY4XLOOI\nl/CKd/EVL+EVL1F6uHZpL7GRDa94idfUjex//du/E7/sX/mRXVkiRvAeq/cIubua5mpeLdvqKs0V\n3BW56B08R3gOuQ8c4GNoaB2ZRm7gAMex8FpZjvAxwIUIfgX4CqAZ+RWAjHwtcEW7pfMK/CffB/y7\nX1b45AEMAI0ADQB07NBoFHqPZvV2dBSGT509JZ+wtzQADZ2V72hLM/IbmsAreSxuwEojFhqwuDS2\n+EJjV07pC41YK33l1XJ/8Nf8b/hZv/JnY7ouGOcV43XBOC8yWnyt6fMR/1jXh5D84g63xzMyZ8bH\nX6tfi1/Hf+VhbXycxfZ/eFLu3/9cP8V+u2l0ENF/A+BnA/hKIvpuAL8awAgAzPxbmPn3EdE3EdFf\nAvD9AH7R3lx//5c98Akdg8cV7BgcV/B8BUcPXhz4MwcePXiQcbRjhzbs8IaaBpJrlcUUkFFpAGce\nMWqZFhdarSMmgcGZqNwgRMj25wYXON9MBf+OP/VX8Y/9jj8psmk+NnMCihOIGS7G0kPc4D7yIb/g\nYjz5CPcS4aYI92UR3sggAN6tePGvGPyKd+4Vq/9+rM5j9QNWN2AljzUOWOcBaxiwzj7Rle8HBCuf\nx63c6jyicxhoxeBWDBQSnLvBXYdm5LzKuIDBr/ih49/BV3250RF9R1Eu2YCRGZ4DmB0iEyJTggOB\nVyc4IbIDI41ZxvJ4nxeRYDjz8nMA6wNbX4CGp3z2SN+98+XlqbpGFg7AYPgeoMCgV4Z7jaCLjBOD\nXiPcGEEjg4YIN6SRPMP5CHIM5yKIGETJ6FbjnTiC5FqiEEFuxTAQaE26UANhAiA9w3t0hcctHZMY\nF5258hgBsNzzXPBEAxANPWAjcy/uETDSiuBmRHKI5BHIIZBDdAmO5BAoXduBvOAi6wyfnOBWz87j\n8X1/4bvwT30bw4UAv8Y0hgi3RviQjEtLV9gFubdDhF8VD6IX83yeI5wP8GOEc+m5ADbPriMj4R6D\n4hbvE2vjx/4AN9pNo4OZf8EJmW8+85/9gz/ijNRmdsAFMMVyMTHAC4BAwBXpYZgvNio4IT10SR6m\nRqbFqznsAyGK0RBRHhDmYUMRALPhFRnq0KwcWb2OdU8nrH8ytG/7AvDT/8b3bWRpT9/29kVzlmdl\nxmP+EAOGGHCJ1/Qb6ndq+1pgrr7zuvMO3f5OzPJi0T4YWDq1tGGHb+hfvgJfuX5/tVrOMgz4lYE1\npr9lkb9pr+/xe/QeLQBh8AiTRxgdwuhTb/D1Bj/hluYaunhsRg8MgEeER0idAjxFeBdK9xHeB/gh\nwA9RxgA/ao/wU0j9EuAvEf4SgJcA9xrg/t+I6Uc4+NcA/4piDEwALjfgW/wW7vEG833bsUdrf5+j\n8YDnOL2cB11g2Jfn59D/0F8GvvHbvzP9X+/Lya4enGmHbz0Ptz7jGZkzcp9Yex/bF59n+7Cf78fc\nr8KOEAcCjw5xdIgDyegQxxrmDAuvB6v+6MBDXw6RQVcGzVE6w11jhdPVwHPc4nv0q8BB6FeGW2I2\nMnr9LO9nXIDrD5zXyy5kMeSyMaL0W+MZGTPymoxFXhq4xdUgWYAoD+qN/C3aCnBA2iobTL8H932Z\nn/kDwPo/9HUAbIyfnkF0t8wBzQ0RNDD8QOBhTffLQT/k+9syIIBW3vaQRtfSAifvxijjwHAvRb7X\n/8kvjxi+KoJWTi9la9y2/RZdFxKLfGczgM9u6Os9cfR7bRYj0snMMSIZMUfyCgOPGRAP6n09APwE\nQ9szco6Mn0d0Wm/Pvf1e/U+svfvYH+BG+6BGx2u8LdM2BsBEiGJ8xAsl4+BCiJNDvDjEyYFljKdG\nQrw4sKUbGFGMjKr3aBFubmhzBF1JZJF7wp3gIjMT6MqIs9yP9MBoHjo/64JqW4aaByELPXs/ZG87\nr9Ij6itCHx72xrUP/1a/hVt8AXgG4gzwVZ4dDMSYDIQIgddkbPBVZEUnXhv92fBbnhgeziejwHnA\nDQXepRncytFQ8H/CA+HP1DSnMQftxWvHPfgtNCBt10VOLv6A9JK2L9DhTvyWnL44znT7QtVrTscD\nvZ/zlQ0N6L9gsQMrrp9hvVOvt0J+ywtM3fz+xjzt///oeELm638izns1b3k7z+rZa+fIeLtloJ3l\nf4KGxxf99sr7bH/9zz2g5Bh0icAUgQvlvVeaCLik0V8ATARqRuX3RkwAXaiaK+vKjUG6HaJbJYp7\nBr0AmHgjl7dcouFxg3fmJHGVw4z0RhxB5lVaMP8PcM5QOOLdKc8r0ipTDAVejOFg4GjpDZ75qxgn\nKxBDMlZyh3hLYHbP2u5SJxnVyNDOHohDgZ28cMl4bpwHWIyU/FLWFbJtt4yOe+R6OkeGwz1GxVkZ\nQrqGYjPqS40bmDuyt8aWBuy+PLvGwlneLZneC+vzpFkDszU2b/HulQfOe43eV2+NuT2D4AxdDZl7\n5/gSb8/tFdN+xz/9i+/WccQY/IrBpyC+0Qd4HzAMCS68gHEockMl06G5NcUYrCt8DBjWgOE1YPQr\niHjrnjuLW9eiu0PXGgdH41naLR5jazzYLZEz9D1a+xDT2BL5TrJXgAGnX7VLPcqLnHUcxSCZsN1K\nke2XPRoCNttKzt2geRkpfTaK8k7iZNTR2p8jx+DI78nN78zNb29xbq6HCu/N1V5DJqaEmtiULm7i\nUCxOzbXbxrPkudTo6PW1wWOHr/ra7L2DDr1dsZ65D++Fezx7H5+Bz9D8AV//1qMeTsi08q3RZ7s1\nLI+2Te+Fd2jsqATBauBrHusA2CTn0ig8qxsa3M6VA2ZdCld+tH3jw5ofrz09HaZ9y6/5jXfreA54\nx694iZ/hHb/iXfwMl3jFO/4M7+Ir3vFnctSx8F+E/i7WenmeCn7FC79m2RR1HeoHXfvgO+Ldi++5\nDHuuw97+r7qrI6qI+5vz6APw0dWwdZOf1NOXNhbAtwGSQQyFW8GTN3A282Gtr6X86Lm1ArLfVdPo\nlj4DHMVwiA0sPDTjHv+MDBjJgycdzXgTfjGwzEdqcMio/Dy3xzkDuTVEzow2FqD3e9zrMTkaj3jW\nKB93xjPwkU5L6y0+9vAeTa/LeEPO4q2R0FtQ9IyJWzI7tOgd5mHE7CfMfsTiR8zDlHAS+pB4Fawy\nFh628mW+Isf0aRkdT0+Hab/813/L3TrkGIOJfh8GjYpvaF14K+eGgHUM+GxwmIcXfP8wwg8/pNJ1\nHOFCCvZ0Ie2XuxBBgWt66NAjn5PTeTmWLZh21bX5MlBWhK1L2Bk5NnRq9MRAYSLwaIN0UxBtS9Ng\nW84BuA1NdSq6BvnWsjbQ0K0pSNAtMgYGLTEHIWb+GuGWLS3pWhqDVtFf5PtdGRyQekzbMApn+i18\nB8YOL0b5CcWDEQ28wZF217q4yN3CmWWhHAC3AO4K+AFwY9oScuNtfEO7oQdPYEeyai2wrmJ7vOgk\nSHV0HR2F3VZHOsnWpL3HSO+1jJf7qqaX+y/BIpPlGp7AOd7IGH7RwJkWzW8YkuEbf+AOPTUquXaA\ntL2l9+R2ZRxAcjS4suvOGAtnxxM85yJGWuGIMWIpx4LhEdgjBIcY5VyUHP9VONIBnTwCXD2fwFsX\n2h3tZ/7Cx3U/Unt6Okz7Rf/Zb7hbhz2B3znpHvGdA78kWOnRwFnmnQO/eOEbeecQvcfy4jC/c+B3\nI/jFFZ13HgROZ9JXOW9u4WWHbmC3pvPrfo1wi4HXLUwLgRz3XaMadKVNadYosR6Te7oDIlFyQ3JK\nVRbkuwljCqgNk0OYfIZji483+IIr7KL+3XKefy15AXJOgNXkBDD8nC/AyOYcAfp9hgBeI/wKcEjG\niN1uiRrI2tI0ZqSlWRhiuMQOz86hhoV+1c1Pe8YJVdE7lwY3sA/iTGJK8AAMC+A94D3JCAy+QxuQ\nYUsv8lsaRgniHk0QtvnNUzcnyyaXrynLz/JH84xJliLDa34Ymyci1nkjKp7midE8Ejs8S4fQaeUU\nd9SJM+rFHmV4PZC5QSdsY4vaTjf4ZzrMXPdsjXQ9mXfqEzGGuGKIa9+DdXgznOS1+Fvaz3yj/kdo\nT6PDtL/1sKZ9sxacs80e0G6mknQGwW3Cp7c4GzgFGkpCG28yh5LQBs4vShfS6lofXOrVKIlyGlmD\nU+Ctu/NWXoeAvqv1bF4H6QSGv0S4C8NfCHwB+ELgicAXAixN+1RoaHDV4wtE1+olmRQbwZKfRJKk\ncfJmETHIc1qNyXKe2MjICQ3FK340Mjo/p++JroCXEy1OM2TKSZcMK31u8CtK0Ou1ke/I8pBWugGN\nscDGo9+jn5AN3KcxABoIdCG4C4EuTkbKI8lvEy4O8UIIDd9dXMEn2uhX/AuBhtpTUbosEiyNGr56\nPPb0GxyOJb4mJk/WEsU7JuPCux3iIUs4QHL8Wke9RzJuuwRmu5i8SOrJgnq35CV5SOf0iOERKQvp\nZLxjHX0Am6PuuzD1Y4rugTdbrNrbx2MbFCz3Vm728eyFp3Pplpni0Iu3M94TWHxL3sp8Yu15ZNa0\ndz/yASXHcmIlyukTllMCDhQJWAjkCGACVgJdCfiM0kmUKb0cMzyRnFixfJeC5C4ETC7RiVOWxFhe\ndC6WF9wRL+MxbnlW1/AO92DPwCv61r+21t8qWzFEDEJ5QVf5EIDyIAlID+IJ6fTJFSV40SZYuoW3\nJwPQoZ2RcSdlGSA5LUNiPKDtC6oTNRu+kTnD5wAE8YhsRnGpb3h8W6fLF57GYNCYTl/RO8C9SyO9\nEOiddqFXtNSd0l4IeEfAS/Iw0jsCv0u0+EKgdw40Ahwpu2KSkUclGR5TiTfRa8jSAqXj05mf5mKj\nr/Erys9bZ7rlZrfm8hZcLFt3i5Xb51Ejo0YKAnIAcdVaL6O97vTFOh7I3Zrj3uDVe+SO9D9U12eN\nQx1zZdeUQO396MUHHcEtvrdd/SXanjEdpn3dT3hQUe58IjFb9cUSKCX5eYWhU/MyoiqXhUx0iFO1\nUcp1VD+ll3WB5fOJDBm9wt+biwsfOP9wsrg+6O59yOlDUh8G/uSoWz6LGT87odeunM5sWr+VD1SG\nGNlVkEMyhAYZld+6ewVmy987QRCAqAaanqBZkU/VOIFpxWa1rQnQVM8mOtOcI7qlEwUOSzI8HDM8\nA8QBjgEfARcJLqStFxcAvxLcCrhFYjOWtG3iPOAc4B2lo8MEyYpOuYSIQ9q6cYzUPTaetPS30v3B\nv7sw1fRcOiD1bCyfgLPhoF6yI9jJwgbmGmqvqbP4vbrtC7p3fz4CH/GO7qfeZ3yrbG+Bdcu7e9J7\nW3U1agifnNHx3F4x7ct+zlu02fxb0/qS0ugG/+i/4wYW22IT8Nng9Aj/zArmrbRmpcM5RbzUb8kj\nxC0OoBm1RkzRbXiNjJ2X5I+1I8mXkOvTWFo7MjdzJF6m5W2XorPx/rTfPcz3goZGRa8ySIZmTsNz\nAfnoqhoZaiSwHdcG19wjS807Q6ML4CaGk9MlTjyCTtK4Oyc/uXw+WqDVAZIRobQrQJ+hzDPZ+dLo\nNI+NxMd0R/UeGfhw7MzRypC5dklemvQAzko3L95Mb1/UveulpVl6e43dkm97bwHQM+LvpR3JfOim\nno4do/1NNAbyYkrH1uv0CbS3vNSJ6OcC+I1I395vZeZvfT+fqrQP64n5Zx7QkYd/LmJlcX1B2hdq\ny7MrYIu3PPt/iHuOjHVNjbVtcWqsb6vXm4fbeXQPdO/s+z0BWycDwdin/faoe+4GjiR78ZIJNvFc\nLdfI9udxlRxF3XoqI0lROWroFT/0dGQLa3dOlCyd1uuhTV8SZ45P3iFD4l3YzWNh96L1Ienk97Fw\nQPLA7Omu5v/dO6Jpj2SqUaUrS/37F6TtsjNHPgVmIAdZtj22tGWHfqcO+WTI5S4naajTu3QrL4aG\nVpRtdTCKAXKPO/+s+/+Iry/KnpHQwrfwM3p6TdxjGL1VRtstz9A9cEuzBlVn0fml3h71dBCRB/Cb\nAHwDgC8A+GNE9HuY+c++tw+HD210/HePqWkiJf5AOAg5y2ReJZ3F3ZbOE0DvUN381DwMWKqB5gA6\nMnAVZFfjOEunhm5vUvN3H+PpTeX2+PbBEjp8kEmKVfwYIOTy4Wx4kV2ejzW/O+scnbmYkDzqlD9L\nXRfE4Hu1QlZsa4KEDh+cqwbno5kS2Znql2DXk5TpPS9S5WXq61ZeKSJodlvNdpuOfKLQJQqVNAtu\nUHmRCcKbAbyauYLRMXL6ouQ1bSfFFem4sOAbekemwg/0Y0j3JzGSIRmQC+cqzYVkvLsF+cgvDQb2\nBbY8S4elq5HWeLEO8R5Pr09CMfz8wTz2ntrbtlBPQTiQ2aP18CMjpaUNHd693hf9f/mO8R7Z3viJ\ntTe81H8agL/EzN8FAET0uwH8PABfxEbHH3lQT/bUteooW5xrvCfTpXFnLh1HpIC8l9Rh4A0uMBRu\ncZXzQtNkTAKzJlxCellGGVleqhk29HjEi5Si4zOv4etLGchbE0USldYxfkKPa17ymriNJyQ6lz0k\nFoYTWXLF49KjiRcmmrmZXHIkLJLPYzHBhkKjJda8xQQlLkZujXDEcGAQpzwR6ZCxBgLHtK2ycPmM\nUpFViwmGXHAw9WCKE4aOzIa/J+Md/BzhrqX7VwNfG14PXkOBZ4a7hn3Z1xRsGRklZ0hEhSuseSi6\nvEav4hMQHcAjEAcgTmmLiCX+BNbQFwvYyf+nSbJcFONF4lZY9Fl02CwQlEftSzLdlKX1XmZn+PZF\n73d0FL7lSYgHvFseiB5dg73HDtziajz5O3RankdtaJ0dH9Gxxtwn1N4Q0/FjAXy3wb8HwE9/48fZ\ntA9rdHzdAzqMXDFUu66GTuOtfm8+lvtQVhIUALcCNCMXVstpsZW/CH8G6LXsfZPZAydDq/gGxwRg\nYWBl0ErAymZrhtLfon2hvEWTgw1FBg1e8Rf5ezW4kZHTfZejd9wcreMm3Td3jutxcyTP6FCNuxHg\ngcEjSwIyBo8EHqKkPKdUyXSkdMxQ4WpETjZmaRu5AWBPyROhxhAjb7/Yrlsxmiyq5xVxim+OZqKC\nV3jM6wVXf8F1uODqpwT7C2Z/wXWYMLtJeNqTzDzUeNYbavzqk/7sL5jdiGmecZmvabxeMc1XXOYr\nLtc5w9P1iss8G9616F2FNs8YhVbmER2DD2GFOJty15o2bGh2+9LS1RFVyd2AxSGWRoNnuCOT48M7\nMloMUQNIrUyVwLLnnr/lEXwrTQ2EvZftoy/lHs2eMrOnzVpay3tEZ0K6HnrxHO+rt14ka6R9Iu0N\nR2Y/yDf1QY2Ov/lIog6xyNlcQJtU0ozimpdVi6YE76Wdrh44MRkTVhZejQHKWfy0MByNCic+myOh\ncaLkJVH50RaogxzbRZ6TRsFH8/k1+UKAHMPktOeuR1WvnHNDYAboysCVQVmGS46JKwDVz7kpOMkF\nVAYGjHGRt4l6vN7oT8qMDJoAngA3MVgK7fGUDAdMCYbIZPhiv2sSXv39c8PHhFSMbYUUwuNcEI8C\np79fA1MdQD7db2ooQXQRuNLPNNmPp7Xw05xIR5GJ4SjCSx8oINIqtSBSkjp9w8muSsoqGlNiuoFS\nHylgphWT9AstmGnCTDOuNGOhEdMyY1pnTMs1wbmfxRdM64JxXTCGFWNcMSBgoAjvIvwQ4ZhT8Kkk\nsiOPUvyu6XREG07IdebNwdfti/PoRbvDo1sy2o3RVME92i3+GVrE2+NC9mhsaJY+YxvPsxffs8e/\nJd/GFvW+697vcRa+JfeJtT1Pxx8G8L8fq34BwNcY/GuQvB3vtRHnjfHPtxERf8cPfUQRdYnxe0Z3\nW05hS4esujFSfiGm1bf0yfB1VT6ZVfYEwyvyKlvmLSt6emXQK2Rk0FXwKxea8oUGK/+aDI+N7M5c\nOXDNrA43+74NTCdk7Ipyw5u2PRttIyR/yoHMYa8NwLwaM5c3AYC93ttLn61cn5csVyPXyHKk1JkK\nbLuhx+huyxteJW/o2TuTe6xwt+Efy9/sxPn75XZl23Gp8x5v6sjsydqXZS9o+430DS9ia1DtGFlV\nrMORTI9ueQFlgaEngBS3fYe2ySNj5+rpzNg3hHZGOim3O9rnAVA/J3CD91ba/e1r8fv4r7xlAiJi\nzgFpn38jIv6rJ2V/NAD72YhoAPDnAfwcAN8L4I8C+AVf1IGkP2K5Xye76SXwK0ejT1vYdWgVvEcb\n0ujUS0FiKIvvtWyJMjRGImESzAeSKHvK9MyHzqd6JcbCyqg7X1fi6QFY3PwIjcxqZEJNR0Ta1piQ\nVokXBn2ZlUVe/bQVTRG3NOatLBv5nk5v7jA5xItHkB5fXBovPmXLjCkle4BPNRS8R4gOkVOdhehc\nog0ecUzp1cOL0de5X1Iqdh4JjlMBv9QL7GKNVzxO6bUtz8HIRENv9LVux+a0yR7e8m7J9/S1nVk/\nEMqq8x69nTnU28Gmvka1yrUeEaFxR446etWcLhnnGCWeKScUI7n+ypi8oiRxW7RDK+Nmjij3ao5Y\nRQ7IziffKhgiRwZv+X28nKajdH/OsniYZbGQuywa5i0NFR213sxp+7czF+ZiPeeFx6OjXkMa4Br6\nckwAD06CrSmPcQ8/kGEvdaKyrAN7IHpXyb3F8Phxj6t+tDaefauvNcrMKxF9M4Dfj3TX/bb3bXAA\nH9jo+Hu/4gElh1zhMvepQ2s63SG7kWHkmxULd7NXbvBlZzwDL6hXAU1v97bPdiaUFaOhsTwk2Ly4\nchEz81Kzhc3Q8LMuGtqOLgdgefFYXibM64QlTph5xIwJi5uwOKkKyRMWjJhdqhC5DBPmacLyMmJ+\nmTC/m7C8S+P8MmZ4Ed78bsTykuTD5DGFBVOYTa/xy7qlTbGl9ee4NLhbYz4pcvPI7PvqvRX5I93d\nKWuvNVkY3LwmdbXc0tUdHvbvhbYwnOKRqCoiF03huEJzlX7cFJZr9CVIGTCLA1k96MKh4skqxS4q\nNiO39KKvPFoZ7spwc0z9yhLc28IJ9wZ2XVgCg7v6gFuK1+6DNU+pLs9FFhyjkwWD1Hq6SO2mTJMF\nRaZJLScrL3AeGx12j1sdX4xGx/Cg0QEAzPxtAL7tfX6etn1Qo4O+4REl3PeA7PEYJYPmDOD7b+gC\n5cVhA5Ja3NKA4mYd7tBTT4EGtMYy5qqllt6T6cgfziH/p0msmo4fwtAMz7W0Ix7MtlXDmy4B8WVG\neFkRX16TR+JFvRUO4cXVuBaPGx3i4NPJDe9TYTqpNBnhENgjskOIDiF4xOBSXx380hTeWyL8ElJt\nHKHVPDnNYWhanM8tsaGrXIRbQkqfbR/iRw/0I55ej2d1ju6J90FvafoM52bs0W6NQLl/DmTZEaJ3\n4u1yqVBhBw96csh5GQ2eZZPHLDpKIzsEpK5VSpkpV6d1WqV2g0stpVjzyMhk3FSzzYXmGlmyx5Lt\nUWbjPSs4tnRK3k3yDLqwORpd6+jcHyPegcBwLuaYp1ybx+T+YaIUAB8J/NrhtTBROu1Eff6btlj+\njff2p3+wNvaeHT+I2gc1Or7nG/6eh/RsIa9eca9ujw2+iJvxlpzu+R+5Es+4G4cDXksD8mmbnLdA\nxtij2R4OeGty5cYV+QhjBPIRYXISxEiUYTs6OkcjIgkyrGnp1GuhYUBKMT0CNDJoZPgRGMZV9u5Z\nkjMVmUwfkKwXlm2lq2wjLSm2pdKdABo4vSDzXj1v9u334A0vxxLwbX0U13ubJwUWN6OVb8eePJp5\nU7Aul5EKTmJNkpPR4gRzIqmvr3ilr+70o44TMns61JkjGyaUtkUcgKAvGGcKzDnBnRy/TgZJwn06\nVq2wGq8KOzFkhe7XAA4ErAEUCC4w/MpVheSqWnIQg7SFO7K5QrKhERvLvfesOMLVMLwl3+Pttc+B\nz+pqjQSOybiLHTjmGKcCR5UJLsc0aZxTkunD+HAhFT8o2mlPx0dqH/Tj/a5v+Pl36xAzhmXFuKwY\ncg8Grvu4wxvXvvywBAyr1V/Tza/7tEedTsiclCVCqokxwLhq++M9i8lNIjQZtax91FWiPohv4rJi\nNA/qmrY/h4u2xHiQUuX6kE64t3hVulw8FtcTciHCxQAXI7rufOPqbzsd8XUbTuU6MtFR+T68a1bn\nZazovl2Fb/Wq1Xszh+NUjt3HFGPiYkzxJpkWK1qCk1yKX9ny3WrnCNUc1cvx3r7zvd/qxIwhBnCM\nGCRGI8UA92ARAAAgAElEQVRiCBwIvBg8v7QgtCa2w8Rz2JgOi2u14npRkm6qqvpxR67Gda4ebuZo\nnxH2O3v0GXTEP7uAeuto4AiHmdK26kyylYqpos0YZdziy4Zv9RK+NPrxDa6OB/NZftQ2Xj72Jzhu\nH9To+Iq//Xfu1qHIGJYAP4uBMK/wS0i0ZcUwJyPDyzjMQfgKd2SWAD+La3wuiaFIYywI26C4Pdji\n7arjrK4XVUY5Gij44erxjMyOHhMQBtupHkeLp4AtK+My7gAJ4qIhlT3H4HJgVxSZMBLcQuCrg58Z\nmF0KZJsJNBMwO4mjodxZOmb5wAtAC5XcKE13V8DNgJsZXgqspcBFSick8vdOCZaTQznAcTQ8lZOE\nRsrLgZB6wmkw/8cg2wBwiJDYABgcklKMCi2lGBMPlPz4BBYOxEUuScsQEeHgzdwsZxBt7RqGQ2BC\ngMfa8Ios5P9B8nJ4I8OJl1hV5AK08Jpj+d/tyCaBmqGl6soqJ38bc2eOwtM50pxp6wGMPHaPye4d\nnT2S3dPt3T/teMrqv0PGIWXm9UjH/gcAXoNaDU/oRY7S6OU6bODEo3pOs/WcjhBzBZe0AuX71orY\n2fDK3xnn51b5nZJMgROPwCCnx8kDonMYaM1bIup9c5S2YTwFDLRidCtGWrC4GRNNWGjG7EYsNGKR\ncXYjVgzJ8KDCMzmUP4329HSU9i/93v/+fiVGnWehyZtQciZwcYP3ZI509PRHQNrzdNgeydSMfLrH\nrefPe3J79D3aiFxpNPd1Bz6Su8WzOAB3icCFQVOEvwTEicCXFORVYAJPDvFCQjOwBISx5U2ic6F0\nguQiAX/s0ktEXrPmFSxw4Vm+8izck2t19KXJLkWwRz3WrEeVc74PMh2ZHxt8I9+hxYnSw3dhSSSG\nPGLllOV0DVJllqVuD5dEZFkOlT4avJILjHUYsA4e6zgkePQIMiaegUcrm8ZatvCCztfMDaDrIRyW\n1dACxmWFXxNtbOSzjpHf0lJ3S6y9JK0X4J5xjzc0uDx7Thkut3JJnDSC2FN9PJ9lq4DES0OUU+xH\neyRf+paW5orDVjbRk2G+TXgnmXhnLtdnzuKr13Yju2zncQ2OGXAx4uJmTLTI6R1q0v+brUhqYJGp\nywk0cGfONzg6gJ/4y9+g/JHa0+go7Sv+8P2eDr0pc3KwuEPTY5sWb3R6KdE3N76cBqDGKNjFD2hk\njYojfECJJ2hzEXRyE3RpR7K6kgKy4URIxpUjhiMCI6ZXdSQ5bUIpzsTWCdE1L5NkcxXZJb18McuL\n+AqT5ItynpLeUeCMR/1MKX4jrYgADJyC4+zLdj2Yx8B6soMGhsseCi4rQOPVyLBXWhozjQDo371Q\nOa2zyN+rHhNGNl6tgZsTkgWgqpUClDiLwcISo2INYzunGSMtCFRiFgJJrAI7xOARo0NYXI5nCGTk\nclBuCqJMMQ4im2XqecFIgZCrBNFqXMIqNOG5NUgcRNjI+zUF8ya4yPvNvDFl0NXjkyN1stcWOL9g\nnZWnOsNtzlpb49HIwlN5wW46UGerZWBTw4drg3JTw6fWp5XTb+8pXfMe4IFBnsr16c11qXR7vfpy\nHW7ovXm8PBDU+9n1zCR+cmiI1WYXZUx93Woeqvg5LkjtAcEruLjcZMtT7xUrn9woZOTJyJM+7z61\n9jQ6Slv++GN64h02Bb4KzJ0bJueVQD1WtEa/ml/ygWCsx5s0zflxUhdGR/eai7FElbHU47EG1znZ\nPpCHSW1wkTGuDI/S/wt5EWNUnFPAp+A0JCMAI6eHofFUUuRy7ErdrStSplSZEzJHfiG3p3jaVaN6\nk3Qcd/SOullF6gNOgyW7sQV7MJn52uOcezp6rZlr7hAGyh770JE5MZeTwEWEtX+sdu3QHu2aOOto\n5X6WdodXQD1JUY5GRvW4xeTnii4FHEYndWkmJ7LquTM6Ck8NbvkDwc0RXo+c5t7iQls6fJey0TqW\nkywshtRSy2GOcLMa2ukeY8cp+FoCeLXnnCAm78ctHldyNS+qoTa4bHTlcXBS/4YAK2cNvCxf03s0\nNQYJnIslAshwuoXSgzjjWa7GSR7mCtfbgCy3evk/Hm2P5LP86O15eqW0P/m336avxm/V2PB6fKFR\ng1fztjhSQCe5NLoJpVaKjE6KuW1o0wFvR5cmIMAjSBKsPJ6grXfK68gABhIJMw4N7hG2ckJzPV47\nR0zxM8MctgbGnvFxBj+rY394asYe7X3ItxfTUTuzErsl8z68YffoMbZBib7Bhxv8O+kEhkfa609e\nufwayjBDPFILJe9bw4PClF93fRnhk5GoXmiVpsB0IEMs9Zaal6uuzEWOSRJgeckb4vWYsNC80Jxr\n5BJewV5yk3hKJ3d8Z77mtBQI9ekoquGc1IyKIaPbGBa2ydKKXMKJWbLkxpwp10lG3ELTDLkx1bgK\nnCoJNzLO6sb9+d5kd9x/9uHjt6eno7S/fb1fZ++Zfu874h4dR0gp1NXokGyn7iV1egHcu4JbmC4F\nZ+GxgSEVaJWeq80iVUkN8FhpwKqjhTGYsUcTeksT/WBgMGGIa9NDhscObYgrhqD8AM9KC0Z+rU8A\nxPRAQESVTdMmEquybN7gb+gNznaeiHxevz6eWvaIkY9aUn1U1epkuIfrQ1hXcRCvD9cnHKSMakur\nTjpUx7f352lPPux9F0ff06HsrTmA+nimGgk5UPHG+AAvb0/J0efdvmc03SsbDz7Xrc/7KOzr6zGf\nDnMWdrka8918qcIcSbxDcPk6QpTfUT2W0N9X+CleOfEJxcB3Iu/Eq5iPXEvXo9hCo2irOseDis8d\nfL7BF5wM3S3x0zM6nqdXSvsHPqcv4+y23elFpaZH11gN7fKAII+6uBnB7CXW3nlZ6EiFU8iLGCUd\nueR4IAQMxKkoGKiUgJeTDrn0u4VJwiq11DsbWNZPETIPNCgt8QCUkwYsJwfEQHCSTKgkM9qHKWpy\now5sZHR7gqVjbsaWviDVkrBjT2/emXMFONA2RXpOu74DTz5nS0wZE2WcVK4/l44UOZ2MmgOGa8iw\nvwb4ORb8gL+l9+RlriXUWzxH41leG1R5NO5tS7W4pSHdB/nFv5yYw27vWINhz0tzhn/Ek3igN/fh\nvCyB89Fkm5I9bbFSjlnr8fJo+XpEmJG3WS0PEfuB7g2eto95v4rsAZ6KXnIJxtdClTNSnNaVU/Zn\nzQItaeAxy6jFLRtarSPjUuaGyGdD+VNpT0+H+c/+5R9yv5K8sKtjWfnolo4oFrqx3Cs5felnPmdj\nYHNcbEB9w03HOGT7ZXuj7ehprIOuFiPgI4M5wkeUmJT8MBE8PzDQPFyQ4jzOymZ5853a76CD979/\ng+fv1+D2d2AxDoyRkGFDi0f8HV7ck4kAvzDihdP4EsEvQHxBwS8R8SWAXxziiwdeHPDi4F48cHFw\nLw5e6sSoDC8OcXVgyX7KUh+G4cToiHBiFKRR8ovMEf6aMptu6RFOjAmncg1d53Mzg64xPXwXlFMP\nQ7J8La7BkjmIUAMxhQeLjxJ0OJIELG7nYTkaTnKNlK73IJcsmOqVsbiB9Z7NvMB5XmxkcdwJZUtm\nPJCLN+axXdst1+ktnm73LTjUYQY4sGQP5pxRuJeRuBob2lk5DmZBddBdSxvukG31HLqezTfDhDoj\n9IuReYun44uxPY2O0v7mr/+R9ysxSnS3RH/nqpkKC8/KuVZe6mK4leVEgZGp5FAeYOra7a1YbuG3\nZBRWt6Ueo1zEA7Ig1X3pHIXlDm3b6fgIrXWhUgNnF80eL43U8nbkFOaAKnMqr9jNqGp5Lb8r284V\nAGZOR1RdgKM1LZ5j+n79QhiuEq+jcTgT7eI0aWxPKwO4iQouv2VaOXOdrTRwk+EUJcupDdIEp2tu\nkutjTDEBdkWetxkCJMiy1J/IAZfStQ5FRZtMgGWmObDyrPzFBGZODiCUwElNHT8bd7fSZzmV0vC8\nkannkeDKUM9NM9dxHvYesnjLb/F7eIS+F+QIP5I7MQcHIEQgBCBGgWOhhWjooc/PMi1fjJGW5qnu\nzhncNXzBXY/vDL3DUz062oa7dwtLjYtbc511hX+ptGcgaWk/6rP/734lXfkElBWV1hGQ4yak+4ae\nS8pm2Qem0egGwNY06M4Z5P/dcxFbOqNY0+sJ+SN38x2Bf7QnW8l39r6tnl0B8APwA3oasKsB+Zp3\nKI8iX9Ec5MjtDr8ZKz7ZlRk3qzQup3Ta1Zs9gTRseWh1DL/6m9uVdbvK3uPdKUee4XwEeQa7mIMG\n2Ut8QIP3+ajw6Cm551cZFwJ/JrKEvFVYYgC4eO5GoWUPiIHFY8YRCJEQoweiKx5H2X7M8ypNYwtk\nzMGdcmqBxIW3xyOo7hFPnwtcjMe92I9bRsRRzMiOLLHYO8lpCe+QqqYCevDs9niPrPyOtru4pZF4\nNXd5HRmsyfhhMW50bhCq1ALVKb4eTJBnu8Dm/supClpY57b5lT6l9vR0lPajvuuB4ytn3KNHD+mz\nOIDs4ei9PGFkPo/WuhvfOurnNjdsXsWNRUa3cNptGkR9ie9v4fRwtt+vHtdVmhhZWtMjB5eJoUgC\nawAaNG6GkrwNSKsD1gysRqc9BXHkabrFsy7bM7rWkDzyBJ3ln9Craga9xWBcz+mnIEc1YEqgosXZ\npSOX0ZmTFCIX9ESF6nkywZDlZEXBqXgjV8nOuibvpRMPpVuj8GOW6coHixs4qB5LbhCuA2iPerxD\nzn6Xes3KypTEE+BueWXuxQ94LB5QO56iNXws+7QoBiov5c/Wv1efBySLNvLIW7d5+xZGjoycL4sC\nXUCwicdjNV4cPq32NDpM+18e0GkNjPZB+Nbem0tvyjOR+L3xXh2H7YOrt+f5VtzAKQC1H/0e9iLf\nXduNniaVaiPpTSdNHrWKuz0nhTK9pecqr1zhFd/qSNVXWlNQ6+nf5SzvltyeUdoar/fQzsjeMjDO\n8E7KMBFCzlhqMpkOA8LY4IMvMqOlNZlRLb2dw3t4TjVg9LSUX00NprXUW8olEHIG1FDTV1MKwcBZ\nZl0xLIBfxeXZGnoKG2PhZszH3hx78/Y8pJ8TTM3Wq27tcrsdawwJ9c5wZ9uW15q2mYdRGUDkO7hu\nOQekwFEZ93R257l1T55p//wbdD9Wexodpv2RB/U6BgJb+tHqTB+UB7wNrN6Atg9bGp2QqWR7/KH5\nTNZLYR9wtwyonhdoT04ePJpCOMrqNRsXOXtlPeaqnHr8zvkdmSYDpnNlD1/jALTMfIdey0TwEuEW\ngrcnYJb03dESk/vfpT+KQSBQiqHoeSR2Rj7aGz5rQMr3yzuGY07U1jEuuzpK3+NFVJVWU2VVKrBU\nXk3eB1cdx2RXPA7VHFSqtm7nMEYlHEJMwbSRHUJMAba54J83RqcpM19Kyx/QhcbOpX2GlYGVgMUB\na0wxSyulnByrbP8sDrzGPMaFUl9T3Z+4UqYFibUJC0mab0hclcABmxfb5oXWehAMvfdirObo6Vpv\nFnbgW/xHZO3nXZGeVUdbQme3kno06+U5M+r9st6p1/sOPpX2PDJr2l94UK81MoA6k6jhZfgenuL2\nZa+nS8wLxeLUvJgqXvPCIvNSO5qz+4JsXft7vX1B9vjGg0NcvAO8kLhMSVYmlFYs1xq3cmlVY3Dh\n8yrydh6h5/TEvVFLqOc0yGZ0NU6EElzZzNPK2++am+/+rMFxl14A+ArgmkYL4wrwK9KRXktfkY4F\n9+SPxtdkfK3TgOVlxHoZsFxGrC8j1suY4IvylDZgfVGe0F6GSr7Ijlhfhiyrc7OD1Egx9VRWUzfF\n0DYyAr+sVyPT1x3NHBRijsGCBH/nUeO1Klz5Qm/1NKarkY8BmDWmQ+MH9B43AYy6gKhorVxPV2jc\nm+/zeEHuec4sP8fnGLjFW1i3a/X5dEtnj3f0f7wv2U+tfbF7Oojo5wL4jUiX2G9l5m9t+F8J4HcC\n+NEy369j5v+yO9lXPP5Bic39I+8TNrDS0cA9OTa8bMTI/5EZNr7AJrdpcxuwuP909WnjFozczbl2\nvCNHnpPcgTq6fzihD+QjlzpCzrlXY5tbwd7E6gJdd3R7c3VWhdlNrfjBCvI03cay6G8inp2eu9nG\nhLD+vfK75tNEjQ7b31l7QMoroLkFrsmgIMFZRzUydsbKMDmSWZAMsCnATwQ/AWFihCkgXFaEyWOd\nBoTJIzRjog8p54jyxgSvVv5Sy8MhbXNwgK8SyO3jmc4dnAL8sGJwAcOwYpiUX+YCo44PynFGKDzD\n3+Nx82La5en1OADQyq3WsBc6twboAEDqnPTk9+Yp2wDpIZSfRfm5xQU2zzkby1M/B7mSLVmXO/Oc\n8Y7u9Qf0uarXQqYkBRV+XhTSnXLyl7f8B9sPe4PuR2v+tsi9jYi+BcC/BuD/EdKvYOb/6ZG5Do0O\nIvIAfhOAbwDwBQB/jIh+DzP/WSP2zQC+g5l/hRggf56Ificzr5sJf8IjH9F8nhv4e2v8HsYeTQ2T\nns5Rgh11VdoHq6rb7ZeGl1cj9kGn81u9AemlOmF7vLbZ1632gHdkduewBkVvPOI9oqOxMqZT3NLa\nVdKhTG8FZ7sYYdxxL3PHRc07rmhuXdNBZPWFqHeuR/GFr9cU3KsGnu0mXXXdDZ1O8jzqrcXKsOV8\nwqDmNfTM4/48A9dbl0DJGYM00t799h5gRvr72SEZFhlO3wl75Ay18Jrt1sLJkFCdnP1WaAVWubQ8\nUmMgZ6FVI4GLgVEy1CbhzBP5EoTZmUO+RzY5eqq/fc+QuCVzRofT80q3dLUabNneo5wQsWwD7uBZ\n3sy1o/+W9kVpdHw+ng4G8BuY+Te8daJbH++nAfhLzPxdAEBEvxvAzwNgjY7vA/APCfwVAP561+AA\nHvsFuQO34xHvERm7Gm4fuI/wzur3+g2+ZkVFRHqx60r71jyM42N9e/2eY4Btpxu99Rq8DxnbjvB7\nZG/pOnkhy8tZYy9yumljtJCB0cCbKsg92c1DnrF54KO8lFr6EZw/W2hkHLZGcmsY6/dijVv7fVmD\n1xrDY2fuyXyOWydG9uhngq4NnSIAz7JdSoBn2Upj2XIjA8vfIkeP1dDPW28tXWibrTtzHRVPBHcu\nNTaw0rmRQTZCNnQzZ3vihDsnU9iM9uSKymI5QVN9QLaTWH57GUcSo5R2cAADwcmoeJqrlmnnedPq\n9GvfoPux2ue3vfJe1vm3Pt6PBfDdBv8eAD+9kfnPAfyvRPS9SEX5/oW9yX7gq9/d/wmbB2KJ5aDj\nB2erl+EbeoDxEHAVEEbykOnj3ASP3aHruP/yYVR5DtqXT63D+cVP3ReVWdnY4Cy7ig7YGhC6It/j\ntfzePDrqd7sz0h5fYDrQ3eX3PCKPwD28Ryd5pMtnsK8HNn9gppvLMb8iyMANnatXh/zRq8YuQHK4\ncIFzzRIDb2RQzaGxEGzpUehqPFqDp3zM2tCw309E30jqybbeuQHF8FGDxl5vrVdtD97j93gxfYZc\neTnD0j1js03S3Tq5wbNwtgRQtyP8rbKyjceybcdXIBp8D67wW7JmTgCgiSWpHufjrTbZXgtveJIB\nuoUz3uh9ckbH57C9Iu2XEtEvBPDHAfxbzPy3HpnkltHRXqa99isB/Elm/noi+vEA/gAR/cPM/Hda\nwV/6hR+e4Z/yU38ofspPO1c4OO/RAcgPbXkKZ5rhJwOjfrirfKZl/paWghUZRBGOGI5ihb//sWRF\nJXngUw56g+EVOu3Q0wtGZCA8qexIMfHyS8Uccdtb3fTO5Fc6Pf2ducihnK/3x3CFu3M6PfgwFuSI\n16OfmEdPf1TFtfJJnwJzpnfkWp7bl2VydUn1awR1S7CzpFA/5tFieFcDa12dNZY4Ar1x3tpvbWfZ\nrSvrpdCPoQ9ZNTJ11bvn8TjrMbGB2TuBxLvwDo2P5msWAq2ncHOi5FGvpOHTCrhm4aCnpexCZMPr\nLEZaGkf5TQZ5tNotwUHuT8giaZFF1ALQa/leNAifrI4ZNzyj0/Mg3d2+6T5xIvp6AF//hv/x7W3n\nrf7t3wt8+/ftqxHRH0CKzWzbvwfgNwP4DwT/tQB+PYB/9T1+vNy+AOBrDP41SN4O234GgP8IAJj5\n/yKi7wTwE5Gsoar9on/zqys8tAK7jaQ0ssCWBkMjszqsylc3uoYHlBWo0tKhywgnS7rkUTaZC3Vk\nAIhwcIgc4dghKm7paOnNZ2MGApmHAQMrleh6OR2iabQ5UF6pJp7xclTehZpnZbIbtdM1lXjlbrX0\nI5093oKS1XNCqdEwISf9IS/4KCsWK2NGZ2ljrbM5ynxra+YsrUe/qUsGJ4PbfWkUWI+tbnBT5K+p\nFsrk5OUWxd3s4EaApwieCTw7qUkTwRdKtAXCk6OmM2eYFgZmSn1hKZyFdERVC2gxjDvb9LEDO7kf\n9YVKom8DkHv6Dc7VPSNZUuVuZHk4ZFyzrbLerSovMgZGhot81jExGhqDUUbU8Rgtbum+GXfmpZVB\nM4OuMpIUX9RFwxxBV5baOyonNNWRmjyFVvCim3Ro4ew5Kts50ri8q6mhV83IgVBicHhn3kzE9t5p\naYzjrdkzc7zF4HigMfO3A/h2xYnoV3/YT4CUGr7Tvv7Hpa7t13xHzWfmbzwzPRH9VgC/98FPd9Po\n+OMAvo6IvhbA9wL4FwH8gkbmzyEFmv4hIvoqJIPjL/cm+8m/68889inNBcSbi4sOL0je8Ggz5/4F\naiPA92DB3wrbVZe6suOWnl3mLS2v2HhLk1GPCVp6LhIlcQfR4sHQW7zVM/yuLpJxoQaDewFIursA\ndCk0d5Gxh1u5BofBcUFZ7Z7Y56cD3j0xA8TJM+YQ5fozhq0au2rktjQDc75Oi3HNcq3nbRWZty1w\nmLbluBotX4MMEVGOHw8oW3CyXVcV8LPzaus96G/BEeVE0+uBfIOzp5T3Y0j5P8JwAh494uCE3oej\n9wiD6DWwVntmSIAi3HasZGrZqkL0zmjnckuAd+lEj+eUBG2gFR5ykmdd4ZcVwzVg+GzF8LrCv6Zx\n+GyFfw0GFvprofvXFcNnodLLMWGNR3FDa0a4Inckj1ZerwF+T+Ne3JMdz/jrv5Ta57C9QkQ/hpnV\nT/LPAfjTj851aHQw80pE3wzg9yP9Kb+Nmf8sEf0S4f8WAP8xgN9ORH8K6RL7t5n5b/Tm+/Lw/fd/\nQl09KtyuKPcCNO/ht7Qjl2/A9kJv6Wd0e711Offc0I/K2L81ygOAJaaUIRHtgJOx6iKDA95eh9X3\nKLVKhgYWHJbnIFtCAL3KeAXoB1BqMPTm0vwIDpVR0DUsckzDAe+eDuRcIXAGfvRavMUnlBW48KqV\nt66sR11ZN3RJ+AXa0XNbPUC/T2vgmrgSU9cojaiM6K5eRNke7OkRwzlOSo5BLtWZ8U3W3JK8rCQx\ny1teLc2V7asq6ZkkQ0tGAR2MuMHvj9ihU+BkeKwRbg2SHE/wJaREemtJqOfXAKdwjxcDPEW4McJT\ngBsC/CXN7RaGX+UabWJqNoaINRyaGCY64vXgPe/DnkfirbJH9C/V9vkEkn4rEf1kpMf5dwL4JY9O\nRGz3Zz/HRkTMv+lB5cZiruB7xzM02WPsBqHdOha6F7x2awS2N8c9+PvQfQvtjM6RsXS236t7Nl6g\nZ0g+IkfY7unf6rdkb/B5JPBIiCOlwngWnyjjiYYKL3od3R09AKCFQTOSu34R177Abk48xZWfZFFk\nZ4ardGU+M5fqvdff7qz+3jYb3eDd4t/SPeH5uYt2Vu+tn/fsXHvX9F6czC381lyPGx1fi5/Ef+Vh\nbch7j/nxT/DI//fvnJT9VuBDfjZtn9/hml77ow/o6EO8Z0S08KO8Fgb6XolHaOpl8Gbs6VkDqDWE\nbtHP6Nr/30FiBCR1uXZY3Dd4y094ngOFXnBf4S6Umim+U3elpfk1bGqqHMsrHKQQWKz+ZgDF1fp5\njdYT0XombvV7ZI3OOqYaJss4yjhgHXQcsQyCDwNWP2Dxo4xDHhc3YnUDVuex0IiVBiw0mHHEggEr\nBkRH8GOEdwFuivAhwMcIJ6OPAS7IGI/5PsS0Ir8hT4sUZLO1dhYJfM01eGqeWzjV4FG61u0RmNat\nvMrQytmzBxSvnXruwEiBkgobNz43crfmyTChCn7OgZHm+VTBjVx3i8TtzKn81pC/tXXRypzl2Wdh\nm5elm9flAD4jZ2mfmqfjc9heeZ/twxodf/EBHWsd3/vyvRdX2lG75Rg64zgibL/5e4/XnTmad6Tv\ngAgxPOCxkkeARyCPFUOGtzxveK7QKOmsRq/wEu6WgGEO8HNyFfvZ4sk1PMxrwkUm8+eQinTt4AMC\nmAN8AIgZHEMy7N7nyvPO1WzJfkobeXa9eajotfM7q1fPt7gBs58wuxGzn7D4EbObMDfjghEzT5jX\nMi5z0ZvduNFd/FjNPbsR0bl0hZB0SFZRpSEkvKUNa8EplDkQ4Glt5gxmzjVtNcj2Qd52MLV7fLUN\nEfdlLH3tyTCwENzKOU8KyyLB4hXv1hhOylmjwNzDJBlLu+nY29Gj5K+oaB09j3yC5eiUS+JzoXGP\n33bu84DHsi6fle/x3mJ0/NQ36H6s9mHf6ne3D/vxHkjTsWmMsn8+v2GOo3bw0K/gW/x7ZNvI/Vv9\njLzK6IplQF6REDE8p5XlEFdMUSL8o3QL38IbOGY5VDwKSBH6vR62NNeh7etgw8sepF633q17tkJO\nbHtwJ9tkla3SA9sMl63Mjo7Oa2R4IcTFIS4Rbr5iXBb45TO8LIQ4O8QlnUyJnwk8qzwVXTm9ElcD\nL315joDzKa7CeQb5FG9Bnjt07ND35Bnk44ae6/M4LvV1Mix0B4AUZmAC6EVgMjKil+go8sRgxwgu\nHSY7syVDZryZyfbWtg6hyniak4rpdVTR5PcXWjTXXpKl6nrc6gt/BujKeSRJsU8z51FT+Ge5uean\n0c5zwNctyJjmhMSVvHdPIDXwo+3nv0H3Y7Wn0WHa3/2ADu+sCnorj96KImx1D1cfASmYTKPgJdI9\nDgzsW/IAACAASURBVF66Rrlv6WHQypkdnjf6QtdIex6cPGilD5zhTB/SgzjTByt/wDPz2f+DiMtp\nhljG9OC0o/AqWQbFKA9ark9KxP5IkbOhVerQcHH9BgADV0d+c0IrPQocUJJVZRkugaJrI6NGx55R\ncWsv+A5DI9N1G0f+zuS1YBARmBggMvT0lTBDAiYJHFQmjZwL2ilMEKsRmtdaj076K0u9FpakTGyK\nxLHUbDEyVwAzm8J0RqaSlbl0zgg4GwAsvUcjf152l2Y8dGxg/d6ronuGl2uhkJE9oy8vaLJboO1J\nMUtrt1VDh2Z1e7RsdCDn8uD8WTgbC2w+n8pYPgbO2VLZUyos5xg8EMjMleRQGRkkx6OLcWEMjrkY\nFFiKIaFGSK41JNdNPmpt6g5lI8NsRVXxVy2uxli4IXNrnk+tPavMmvbjHtBhpFwPkjNC80HYsaIt\nDQ3poR45GSBx6c9hx8V7XF9eMF8umC8vuF5eMLsLZnrBdXjB/GLoLTxdML+8YL4k/UR/wVXmml9q\n+ny5YLlMGGnBSAsmNws8Y3ILBlow0YLRzWms4BmjWzI8OaHR0sBznj/JzymanSP04J+FiSNchvVg\nYIRjhhz2E/kEq3zCa7nES3PTKsGB1iuxoOOtgMgZ2pGegbEilyanwH1vU288I7M3AtW+tiZvQ+C6\nXH2g7vFbtrQNv+hs5NRINj0EpGPLFT1VT9VjzCG0fNNjrdObDwBccjBAF82OAOdS9x5wYmy4AXBj\nGv14gO/IVCeRnDVYUYzYaH6DFZvfiG/9vnu/6ZkTTg2NjuRv6TuAbC2akcHVVgHtbivwDr3ebqBa\ndjCf2+YI0pe8Q9meGCCeo+Zzry3MGaY9mVvf6z24heMO/VMzPJ6eDtMe2Q5h5Kx5LDd1PtoJmAJC\nskrgBtfVQEgGBU8GNg9ySws+Yr0sWC/AeglYLzPWqZT9DloWfCplwDNvGkS2LhO+Tkk+jCNWCfhb\n/YjVjwhuQI6kiDkyQiMrUufV4JZ/ALPsjZdIjIyrQZE7uMZ7NIPjBr+mwegZr4kpOtWlxSJPEoRG\nnvPDOfFquaSHnDUzOAlm1eOQ5BJN8EAO0fnEJ6E5CYLNsCvywqvnS3NEckBg+FkCE+cIP0usgM0A\nqjEEgnuOKbAyGNqi8sHAMs8SynxrhItiVLPspgmcje0Wx5ZXwRJXovdTK6exB9kzcQBveB45GVy2\nG2K6v3Ooiv6u+hJvn1L3uMvppHhPiFByo9h4HKXlGB45riy1YjZ8Pc6caTv67baf8Wjk7ZDedl6F\n02aOLOMaOQ8gG8gwGZANPe7Q9+SVHnforfGxa7zswI/wn0bHD6r2YT/eX39MLb1EUK0mN1HRQLqp\n1FXa8s+ODMAF8BSA8XWzuuCc9XKHPlApVuXlwcIAoqxYF/msETmFOEZCTtbU/n0t3fBs0qYNvfN9\nZbry2j3lW7Qe/R5d++DrjUe89qFp4akvy44QvMfi0umMxY8nYBkNvLrhpO4It0QMrwvG1xVjNRr4\n2qHpOCwY3YoRC8awYKQVY1wwrgvGeatHczLmvL7A0IyfB816COxvd0SzdJ3Pus6tl6KnD9Qu89jg\nZ/o9OkDK4DoBPKV7micCX2Rs6RY3ekd0NPPBUef9KDRjFHFjITFqgTJHQ6NCUxkKyWjP5RUiMuwU\nznwjW/EaOTMHRcq8yhO0563owffwezKfmtHhP/YHOG4f1uh4JIeZGBJ5f9b0TJssTlv+eGIOg0fN\nVCgr4OD8bdx5BO/zqjfzRC7TvNvgkXzySrB4OjIcd+ADGkfDr+dyFo5xU4dhN4K95cUd+q05gO2L\ni072s7LW7U6Mwa9wLmLwKy7+KjE30h0Z2O3AtMPv00nqk6Rujmmao78u7NA5wrkIN8VU82eMcO8M\nv5KXOih2C2kv4K7Fz9L2ZIDbBuY9fTkho9eObbQD38PbkyXkY7MUkOJZpPBbiqUgAyN7D2zV2F0Z\nExeUYMqxJ9sMyrZTdX0fy6LjUel0uXyS5xLyguacMZka3Mqd0QOjBPh6vD+j8B6dT609PR2mHRSb\n2W0O4BdCfCHwC4FfZMXgJJPfCKFLv3TkXyjp7NEuMPIpM2E6JtpsaJDFy7HSzWaIPXaq8tTZHKHC\nH6OkOo5rgcOCgUPNC41MXPq6Bi60tFLxugl+FN3d3tg2MM6uItreVu+0tN6KuV1R36LdKetcFKMD\n9cuz5125Z/W+pw9ILgbKD8SMi6MJDmmVqzUqIlL9EPOdcyy4nS9tcRAiE5h9kmk+a5VhMgde3Oh+\nT1/msDin35Q0Qd7MDa58Lkn0FqQgQ0MjTYcuNUBoRSUPSRiGxfymvc9+i043ZA+Mq+QcaHwJAbLP\n1LTefXQPbe/vOPIePSpn/869jjvpJ/maARckXhs1jPI2lDWW7NYUVWNNq2UL3Puyz7cvf5P2R2pP\no8O0H3a/CjtCePFYLx7hxSNcPMLFpVHphre+CH+XJ33yWCePMDmEySOM6URKGHzavwVAkJMD2aHJ\ncq3zhmZ5DhEXXAuPrF5/9DHk5FZ+tXBKduVNsqz74Xo+WvmxVUXbCWU7azoh39sa2esHMiyxAnxL\npzWoqBkFpg6tJ7dLM3BObQ2twSGdKIXTUrl6uvwsc4IvMCDPVn055oc/13+fXsvVi4ErPuUlrOB5\n6SoDiZs8FyZDKVB25XxcMtMqfiN7S3cg4MrpOKt4PA9zz9yLH83jcC5e4AzvLJ/M57DX8dCBe7Q9\n/pH8kbFwhD/IYyJET2D1IjoHzl7DNFap7H3yKrJ6F2Vk63HUOTJe87tG3sn2Ux5X/Xjtub1i2jci\nXQB8fmRHCKPHMo5YJOui7XOFDxU+92SnDn8w87oRcMg+Clf5K9oeNzR3g9+V45Kl0S0miFCyJCbc\nBCSasYLnVldhzmml80pTH3LAuZVKS7sl43ZodjW25y1o+XZ+RilwRtmrW1b86pkJqFdzAtuVlNIi\nNXKEXHcEDY9vyGYzkqlUQtVKpkyl8mnFt3+HzMAowdLMYCYQ6jm9zKd/P1WGJJfvqofLsa4qVoj7\ntDZGKBUo5Nr7pblZxAtQFSv0AF2QnjbvhK88kStHTLlDE2NHjKBsyFMZ38YXOMpJqEUMLfs3tKNu\n+cBcd/Z4rj/Q35sT9XXVXnvVfaCxMGq4HMkfzXd03z1yr57QIQewY5Ajk3MlwjkHuJjz0BCR5FBx\nSZ4Ijjh5+WLU83Hi9ZPCecHW0iGpoYPH2xejq2OnyuwPlvZBjQ7+ZQ/oAFjJYXEDrnTBlS6YacKr\nwFeXxozTBVc31TRXeFvaVPRowtWlQ84p4fOCEavACR+wbmg1XssW+X180JMmcoJBMyf6q8DXdArC\nX9OphTTepsdrwDBH4BrKmXnJy0D6Ur71oHp0PHpgvsd91sPnCUGOB8o2XD5eSGkcCl54RT7jw46+\n28rri0CPC5ZcIxJwJyexah5y7pF65Crwbpf3xl7N026h5c4ZZiLwRIiTQ5wKzFOq2ZJhqfuicnEi\nxHeGZ+g8uVwrxuorTKvWaTFpzKV2SzGslWfgWVKlLxFurnk1vZ6PQrOldLZ7uQ4e2e5gnPgdbvCX\nGzItTU7c5KD46SRNcTR/9w098izH8AHWPPL6PMjGNxW60gKAkK16k3a+oaGmZ2P+0fZ3vUH3Y7Xn\n9kpp9P31769OjSOcwBhphSNgpBUvdE3xFjSkWhGU4iVSFzo1dJfiJ9YOr9CLLsBwMQX2aQDmPp7y\nXTgJznQcc6bPrswGT4Gd+gAkeWgWuNDI1IfYpx3MsSqMst2x55qlA969bl97oug9vShvdlmN0gDw\nwJJsSpIlDdwEEafkSSWYmJtAY+oHHfsODzDHBVGv6nX1HlTGrOo3MrzVaXhZx940fHLs0eyL8mA+\nFje5o5hWl47Sx1gIcSXwlRBFJtX4ERlLc8pDhTPByBeZ7AXJxhaDAyOsjJANIpY8Eamrcaa4GngV\nng24RoaRjvdKPwPv8Q51zVFivXaylynujNpbj8WR/B7tzH2ro14HwcAah3O9oauj/pYR5fSdCUrW\npIR3n447or3F6PgZb9D9WO25vWLa/71dmd7CHRiTkyi1nrvwXvyWrFo+j7zk3veLczXz9pLqnKDv\nJZ5iYLsS0X1zh/3VyoTj1cyR/IoqU6EGHFZjQyeL29MOrXw7hwavijs3rTh5U6q7vGiblW1vhbrR\n6eBA/wWx18/I3ZLR/7t1a+/RHuUJTIy0Tbcy3AKw3J68IOFzgll+A4U3vcPDjmzvvcK4//1k8fad\nV72nCPAeOdGZHwwseIYN3Q2FdlpXc5q4YpRp/EM7bmiuL3+TJv+XxvBQjgfishVleBu5yDlQuN66\n2s6ncxFxebbKcy0/n3aen3zAQ+w832JH/w1t+FVv0/8o7enpMO2zB/XOWO5H4y2Ze+e7V/fsfAE5\nJfsejmhoJ/EuzQF8Qdr/uwB4ocID6peoQ1rVT5RkVW8y+nkuque1sJ5YsOmTNW1yy7u2crxDt/Jc\n81b5/NaSpQOa/hZqtJ3RafnWM/Ch4EeCK/Xz6me3hsWtOYB8WoWMcQFjOKixsYHF2MBSy/doVk8T\nlOWFcANXBsgR/wwd6f9yMduqcBEp26pDzryaM7Du0ei2HKlR7IDVD5iHCcsghfeGKXWfaF3cpV7x\nh6nSVzjL+EIfsWDiGVOcMfGMkQWXPsYG56XIHOnEWkdhF0JJxCjJGKOBbWboPTzTLN7MaWXe4un4\n8Y+rfrz2NDpM++4HdBrLuH0Bv7fRwoyqmuf2GFYDu7Ki0F4f6zJz+d5czefQJ19o8Pw52yWaDczj\n5u/ZyiKkz4wJyRiYCsxTQ9eEZ+oB0b9HX3qB0gvHo2ScFR4HACsVD0dAPgJJK+cXCgVKhpF8TXBc\nrkz1Rg0EGgGeOMU1mJedwrRSCZTVUwGPGoOPyutnPhrPyNiRbvDv2eo6w2+9OM1nSNshUp+IJEdJ\ncCl2I7hUNC64FNQXXL+vO/QdHkJEysdueqYxECJ4Q49bPYNzRzZtizLAse/Q4p0eO2EarqZXDlW9\nZkxnyHF9TpFiM6YSf+alD9JHM44dmhnnYerKz8OECTMmvuISZ1z4WvWpwS+cZCduZGNPfsDKHoEd\nAhOY03fqAxBnpHIUpvMMxIULjeRxFc1jLdQybOfJMG9on5zR8dxeMe3bH9Tjg/FR3oEMDyTBhSlT\nYMxwGTe0UQLihpqWZNGhGf2BqqqpubpqKLTCR8oWaKusbmSaOaoRaQ6NusovL96+6DIsshHAlVIR\nsDN6La1p1HsYNDQCUCLEGoYaSFmuM9etbagzvNiRUSOj5akR0G5L+AN6T+4e3Vvf+700mL9n2cpF\ncib4+oJXeknweMF1ulS8M/2VXnDFsYxfFgzLjHF5xThfMc5XDMs1w6PAw3ytZMZFaBuZMvZkB56T\nZ2IoWyaHsO/zWON9jKeIlN54pzSR3cVdywkMPfrZ9HxEtO3VkVOHCIcYHeIiRuDqEK9FPp0aYZCP\nudou+ZZWeK5DI6dVgWueczEFjjrG4oDVTUAcEV8Z8RWIrymoXeF6LDAf8CyNXxnxSolGYrBIgrdP\nqj1Pr5T2hf/zfh0C0j4ySbdwi3dg3JLp6QwAxrTappHgRoBHTg8KOcVAEnyYyksT2AGOSg6FZM9Q\nKfkeYPZfDZ8TT2uI5HolDqX8tudU+Io5V2zNFV75Bp5pKOW3BX9sS4n3+eGGfvWjHoxnZE7KalZI\nnhIh2S/m6CpQ0aoRSEm7rAwAcDOKXBKh7fLYoxQd09oYXR7EJ49qDm55bSwJo9S2iQoj/865Vo5c\nY0UeyUt2r756n3y6Np2T6sUuwPlQRr/COwfvHAbvJBsvIXgyIzB5gB2DPYN9BLtoxgC4gGFZMMwz\npvmK8XrFWMFXTNc5Gw8JXjBeF0wyjvOKaV5TCvp5xXQNGJaI6RoxzhHjNWKaGePMGK+McUWqcisF\n57R+jMW1IJ2tjtuj38JJcBDnDMKbhZHtPbql2e3BG3oaDJ2r1kpNFs2UeoZeKt6KjG9kDD3XASKk\n33sA4gQwOJ0GG9KzNl4AfgfwLBWTZyBeC6z0qPBV6Iuha7XkT83o+Bw8HUT08wF8C4CfBOCnMvOf\nMLxfAeAXI115v4yZ/+ejuT6o0fFnvut+HaJtkJazgVsNveJrwBZQql+emIMcFze/3UJhpO2CUGiW\n38K9nA5tKuOK38KON7wqW2Ql29H18jDr8YGyUucH4Uf07u29bYyzHWokynHMofYyldFl79aGl71e\nLsPZS5XhwkuJ5dQAMTAEpgJDPyYZWOnUyIDSNdXRdSFKrQxJsR4FD2mrwIVEp1jTujo7PBcYFFJx\nOeL4/7P3vjG7NV190G/NzN7XdXhr0YqxAq9gEaKQpgEipn7paysVtIYQY4jGRO2XJqQx+sE/RRMl\nJkRjg21t0xCrXxrBNCEotKktTXw1JmBpwIC+kJRWTF+IWgxFAue69p6Z5YdZM7Nm9ux9/bnPuc/7\n8Dw7mTPr75z7vu597b1mrTVrYbIryKbZm7cI1sHb1ArAG1txYxXdpbnQd3QGaxifmuS5xadj4WuA\nWwLs4uFWOSq+BLg18V2ROZBfs47Qi1xMx5rFICjeiAltnks2Ftz+GPKnnbWz1+zWGFX9PZIJ+zpk\nkTY1xYPGux62TTG+4nmjsc7IM0fp9+R7nhkkXXYd0u69l8uh8FvPnY/b9X7e6j8D4NsBfJ8mEtHX\nAvgOAF8L4MsA/BUi+hou56Ff68fbuX7HlzyhRN2OQNyTPW0jo2l2LNPz8ygv5e2PgsZs3gkbbNiN\n3I7ZzSiZ2jz4MmWY1Zcpww/x8lpArVyZPTydd+gmT8Eb+RFv8MC4CT/CG8kagCmKlwmpyiGRdFJN\nczqiCaHLMU6Z44N66bQMVQ+aShQkQzV5sMgqeS1LO/QsT1qWxZ4VL9kOjl0+Ch0dntztSC3X8+kE\nQ6m0vLjQrQ2IZm1c/FG7+PswgYQGwoi3I5tc+wyaxRAKUYygrZH0CJ2EjgiEQOBgESOBom3Cf63p\nmL6wG2cb97ROJwKUk52bxwDX8OC9Rnj2yFqMqwHfaaSzIQnVkIKNeG+3vBTyEbxU/qStvJIp8jY9\nWFMoOG7DxDosLHRT4Khgkc1wVLpFv67/sfN0vIe3OjP/HADQtqz8twH4AWZeAfwCEf08gG8C8OOv\n+OPtX1/16SeU8pdrlEVvMd5hjOi3aBrOL8h7XZvvgN8fI0SHD48fat7oCKI6UdDIS4Jlb6TlndeI\nTtOAZxVt2upwt2b5XVVfkmIEqd4jDZ4NJgYg/UgqnuS0QQWmuotiSSgLQAyMGJGy5fOInLLeAwsu\ncnLUrsGj0jtYiwxAjsSgVfMEGEelXkimp89H0ZXcZp4GdDGYYbnuWo9mN6aT7HBvzRBPoKGYnHYU\nS32NnBzNeob8vUP6uzBRug+VzFBvw5OHQTaU5dlXW8pTNe6zfMGp0Bgp9znRLHKos18XQMp98uol\nqPG14wXBVz7WE9g06yDVEwGOPZ97nk17p9wAzvkfwXSG34bW8ke8LW27DiJqxeQlF2dTVZQXjTMs\nJLnXq3kjz6UaM+UKzUv6f1j6+jx7vYdIxfu/XvWtji9Fa2B8HsnjsXu97o/3u16of8OzUPiMWsvh\nXn3N0y+xW/OdsnyLf2uEF/AHPADSghoSqxd4RVPsiMwOrHGTwlK9O5U6PDoCuxSKiC6FNKLgbHfo\nRf6I19ILTiRx3Zjma5T4byx0XFt8T67BR/wrg2MEGwOeHPhk0zhnuNJwOub3NIzkzgJPBo4CLKWW\ng45yO0Gf6AIn/g4NocB5HSuyLrcnpEozUfr3eEq1GjwnQ9YD8KRgtCeY5EjjUM5XuUIPAAstOoM4\nGYRJ5tlWfLaKbhAnwecsbxs4yai1NH9OOFtCaVHAQYr+SQfnWAsAZtyEXFFYqgqHtmeSXbteSBpf\nk1xJ7r71fHqH/GRABhgjxqPJRh8hN2ArzTUNxAiscrsyppPLcIScYGPV/E9gaQhImr60crR0OisQ\nF0ZcGT6XsG/0gZd4Ov7e51U/3LVjKX32J9LYu4joRwH89gHru5j5Rx74CQ4/8dc1Og7tn52L64sT\n6uWZC78UOMrDKij5/MLV8B5P/R/ZEMjH2nJPC9qja/6j8jnkgTrzHTPulNOzXh8khgZQk0w92rDA\njVkn6cY75HkC4gwpew0pmT0ql21KWexEM6m/Qj6eCXEBuyqf1jB1jSm5iCEGAq4RfE1GBpYMG5kp\nPcyuBLpG8DXpQZLRynyF6BpZj4RGwpcwi/yOcTaIp/RSTD+XRZwd4mzBk0N0DtE4RLKI5BDhENkh\nBIfobeIZV3nRIgaH6GUsDnGycOQxGTESyGMiX2ejaVk2wJEROsERwYEwmXQ6OhLgSG5QSqGNSBEm\nHwOPAC6oR7dzRcor0ud7UfhSYVZ0vg7gyw79CvBskrH1xoLPBnxmxLNFPDPiGyCegXAmxDMjnBnh\nDRDOQDwTwpkQzgbxjUE4p2aQ8SxNI98IfE6NISMMgrWI1pSkTidVg2MIcoQ3InoD6wN4JbCPMCsB\nPgJrqBseOc5Nq/KMrJx0VkoG1QpgpVr87oZH9MXe1p5nUUIfJTyiQiW50Ro3tNqYrQm5aPnMUw3Y\n2CSvJBXjIRYjg8S4qHPlIfeNkpL2Fc8GSqx6G776vT8u185b/TO/O418ffefbvnM/M1P/G+/CEDH\nML5caI/+eF84FyO7uYEgBV/06GlP4aHFKSpPJN+R38md97LX6eRHOsXwgJq5xUc0bUw0sgIojzNY\n/t+sQ0jeDVCdszBrGCidSfN7B91c8jh6mppTklqUQUBJ4iXlESEJdZFKQKNuHsPc0wzQnLhpyley\nGJusPE6K31ecYpFlAE7+eOftmswRERHMHrkrbASl0uDXhDNIlq+dYyPTAMcNfpIxM8Oc8ixjHs13\nyMw40GfQzIBL38niRfOQHa16n3HHzyG+BYhigJTR46NxYuAcgCUZiVjSizt7R8gTXCBwJEw5HiOf\nkcSBymBLcn+JfkiWFis9AKlHCHNzdN14Ls0TqfRyyYYFw2x49+PDPIw7czMelpURJgs/O/jZYZ0d\n/Fxxb2RMmSf8yVUZrdPIbWXWOcWu3dXDLR7uKkm/Ct/CYYc+ljHLVofix8zqOL33/0H7zX4YwPcT\n0fciuRW+GsBfPVJ+XaPjiSOzxesQkDLnQ92ZG6HV+Ht60DWw8LibtWyhRXkhq+Q9QxUmQpMISEbw\nB2X6Ncl0P0NUv0cc/E47vBh3+AMeuDWGsrHU4EBz2GYz0w59R48kH6DkCKhwTYZHtIavwjo5hJMz\n7xudbNGphzH3D2YF8w69zSnZyvRrcuRkh0ROdk0Uu0TWyfghT9Fv4cyAOQF0TrM5AUbDgtOIp2AS\nGZoVvFdZlqCqySaY9RAPR8kjknAeG6RjkxOKt60ek0xr8xvU44/yf/AVwMzAiUEnKj8HSQVcnPXP\nSkJPOM2Ucj4sQKrNeTky7inthuWmLUW7VkitEqreT4N0/JPSepiqTPa4IoeTsic2EDhQXSconUFd\nGN3Mj6Q3TJlVkz8qjQIzjUsDQer4Wb6Rk4KCZFNCrQ0BkARdGyJcCAjeIxiLEAxCsGl4i2CMzGqQ\nRSDT0jSdEsxACi2tcnrIhybc1IygwlNB0UooK6TwVghwMcE15CVhMHlXfKyu9/BWJ6JvB/AnAHwJ\ngL9ARD/FzN/KzJ8joj8H4HNIQdHvZD6KEwJ0g//OLiLi+NKOfbQz30HjO+UA7Ceo5oTIA/5dCazd\nemwBvwJhTbMeYT3gLfvyI1zDHPZPub2vUXJB5HMpJ4fsFi8yvVwnc6hrUPsvhH1YvzB2Ze+RCell\nGlAdIKGbm2KzvcyAlgvINnD3f9gZMHOa8zB3wA1+Eni6rZM/13IcUxdHuxPmPf6ejsO2w+m7gBWN\ncg2eORkXpVkddPM5knbp+7yMtzylQ+KxUnQmSsbGIt4SPV9TuKHFMz8WvNCu0in3jrX65xFPNDze\nW/iS+Lx3hLh0b1YNFBs5YKdfUvIYDXsqFVluWh+MezXxdo3nX3Ffic/z//m0NtJ7j5nptuS7uYiI\n+ZfulP1S4DV/tny9qqfj87/2uE46DYDdExIN7VF4B9/EKbtjZDrGGa3pYpfq6NhOnHRDzwmPVwZf\nooJZEhYFvlZevDBwZdgrw1wjpgu3ejpB8sKp+BIxODLYJzdHLmQ0HNOYbuVzyvMjazRHaNXR0OxZ\ngoYPZDd6e7LAtqFcPukzaja3HtBuyDIjvRwhkR2bvPQu7+az5z6fGlB4D2OHvtEXuk7m7ZN7d3Gk\nXbW5IuXyXFE9cSM95VEC0Hp+Rl6iGzPdIwv5ewKlC3CuElyrAwNQMM8kPKFL/lCp/jsDmKrMrrwj\naS2gwmfFMoTqFtzxI1IZ9T5UJx7aXjbziwfDKw+GnGrJJ15QTsH0eMvb0+nppU0A5LtHSJ5Io+iK\nV7yNqgvzxnibDuiTrLfeMfrv3qN8PT5m0ZUv9KSJV/3xfjU8ocQoXRjNjOQmzrO4gLObuKHpWbuR\nRzy1Hk7JUo9Uj3oFMogmuRVbuu1kKr0cFSsux61ukYGBuUTQJcgc0/w2wFwVXuYkZy4R5m2mh06u\n4lmGrpnOMDH9rnSi4laHfC50orTzO8KzK17oUOv0eFm3+9P22fpbXG4AoNYxyHgjytuaCvkleO1G\nDgnkBMVFwZm+KDjLLDtrOVlPDAHDaNw71MNmSz/i7cE63FTCPI/Okm/R01nembt6QM3huTHfI0P6\nhbbD10XeatJwShge4XGiNhl5hE/7+mwpHclc07FOWlN+h/GJRopnVsn36OV9h2v5LKvWI5XEXuYj\nw+xZnoS2iic2j3u9t7dGb4DokTcOEmYrvZuyB6zxeFUe956wHMLS9CzbrfkSo2O6LfIFd7G9LfMh\nr1c1Oj79THjFyItLXnCYunkezDmGm3fAXHcm5IUGpB1XROmYmbuV5rLmur9BMGI8WFthY3fokTP3\nfgAAIABJREFUim87WbZp2ApHY2BdgDlHWBdgTwHmUymeWY7drQHGB5CPMGsAqeN4Zg2w3io4wniS\nWCnBeMB6FhrBrgBBPC2OkitZjqCW0u7NUVThW1NkY5EzSl/wZt3KT1UyuVTLbAr6lIJPSsbHrY4q\nKNTIl7Vis2ba6WG3ciOph5Wmcy+bDWab7jHIaRycOrn8MFchpGE9mG6+KafX6/g5OTr4FEJrcA/E\ntcI9byOr1tmjAxJ2kVCMndrQjMaNq7Re59417IziVQwmnS7J36toTf3uWdvCxiAq2VBkExzNWDca\niwiqR2RDSLkOa4BdolQ/bXGzbulmCUPZXgdLgF1IWXSoFvoRbO+QuQUrY/dwHtGydy/Py33r5HBS\nqeOi8bnDqZcf0G7gL7m+/EXaH+YKn3g66vXF/8QTSvnL9a4GgHLMLyK9KEwrk8IeuUyzw2odvJ1k\ndoN5avBdGaNk4LDCwVOCnZVjjc7DzR4ueky8wsaAiROeaBV27DEp2EWPKa4KrnSKHoYDKHrY6EFI\nVTrJSKzZyHE3OWNfsl87eqrQKVUIiWpjqg5m08pEQ6mSpM/GRqowaLRx4aXqYOZZU+TIRxhDUowq\nFadiGBjJAjUGiMwwkcDpzEK6DNJdLvO+i7sd1O8a7x1qh18zaBU8oj0im+9fVv+fnAyJYmDEnL+T\njZA78Wxg+J6mcoKCT/+1kzyQnA9ScKG5zFM5I9YLPSIdZMrhJ5uGVV6UHN5h2TmXXkTEMIhSYC42\nnwNJeMCQgSGGJYNgYpoppvuQQvVckngfSXkfxRvJIDHeY6m5kWpsxGSAZDy0MjZ3qqVUqdVMEZYi\njIuwU4A5xWpwy3eB9I78nl35vTv3e+Sy18EA5USYJPxqg4HzabANn+pzUz9HTaej/o9S+C0bIFLr\nAwoutL16H5uaIEmnFJPTdUM+ZtcnRoe+/pUn9Q5OFuzGkm/BOSZ72cpEQ1idkzbSc20nvcFn1UI6\nwYud9+UyzCdcccKFZlzNCSsmzGbBiRbMuGLGktpI44oZa2oZjUXoid/KVPiEBXMHn0Qm0dNw8OXV\nnHcDLC6gRE85IOmtJjUaAJgiA0B2HRLQQKnuuLMmGQY5lox5tA3qVHOxjJvcjKxpZNfShjK6Kd29\nA+9IvvOYPDwC7uutob01ETABcDLbCMQATDLrE0yPzEM9ecGbAJgFKS9kPcjrsVsaHfBG+nBIHUsN\nw1KQl4u8ZPLLyEC9hNTcvLwgckp/tE45esXiLWWVj8Ri4LDkDnXzidOpmaE+l55OJaSk9eNjf/dh\nn5UHR81xQZcjA7Cc/GGi2i2352l8RgfXdSH5NukYuxha2biXBpXplCILXZ4HUqKeJLu6eKy1juaJ\nbpN385L4yh94XvVDXdfTfKfk8l5/jr3rdY2Ov/8JnWd2my8chhiT8QAAywFzXHH2V3h28NFh9cqL\nYZSXw4gXQ3s0jPKQGOUJEb0kY4tHos4BjpNXwrHf5be0kZxeIxSaQWx25cloAEohjsHge/nY4ysX\nqKEWV1n/IDqWzQm7vZySrcaTOAhUvkjJHeHsPODyXKJGLt+AWVbJ7axJuY5DPi2wtvimRsOubKx1\nHyDGFMTQCnUd8ulha+Qha5Ljp/bvkR+5JKJKgmuuDlk6f8q9X+pr9LOCgex56GYjf+oIOb454I90\n8gt4RzZ7O5uS7H0+Qp+b8Axv5BWlbt6Dn+H3NL0Z6uEj2ogX1bqSK1O8flpmEsMjn+gRwwEzgJnF\ncOBUZn5Cgica8FgZGCzGCJe1Of8/Jn1HOB8P7o/6khgkEMNC5nycuB4blqTYfBRYwfW4sMAvsDk+\nilewX9hJHa9rdDyZSLrZYWqXMxR85O14wFtikUpFn+ha18+X/nJr3kvnvMsdHRe8Rb+lO9JhbGO2\nI/xdydj0ZfDOIsjwTuLsmmYtgnOVX+TsluZcXdNu5aM12QeTXtgAkinyOFzXOIaNl7j9Nda4/rXG\n8s1VahJkeKnyJsf7e/llhEfYa0jGR0StLzG6r98HDXfOWTc8qNfP+lTE6MjrPYNkrfwi1kmP/ZoW\n7Utdj54W7+TdwoFdg34Yhtsx7BvadGM9+Vx5IvUZi2HhAJpY+KgdcydOcbGJ05H/idKpP5HDRCUs\nxk55kuRvSXkWj2T2VGbvRDEqQgvnHKzGqPAaTrI1R4vb++5jcgV8YnTU6/uf0MkPiFtJTc/O04Ce\n3eT3vvTvHaMHmH7g6C9H/+C9B75HFvV3Lefpy9l6lHP6GS8PkPxAcfWBkuRI8USvW6OsCQJzHgxI\nT4uJPRxrXh4GHAl8HfHuGNnTUZ5yELy6K4qno/AqTgDQyza40hMeZddwYJBqF1+6YXaz0ThS6InO\nDDMx6M1YT6+32d2+xrhlJLwHXnmZZTd9OTYLOeqKrVtfy80DfR1O6HGH0rxNHzU9PpLayaz36Ah9\n5ZQX5ZKxnBJkTeo5Yw2CzNHaCjuRKbCt8kq34rZbK5W4T8dkucDtiBtakaU9ne0aRSff44QUap10\nWBSDkOujdGzkXnL9lhdpf5jLf2J0qOvHntAx2BT2SbFFbHcoufqg0HjDR7Xu9XodjojmHDiNajjk\nh69kbdPmDDkPazrQgFZOPfQ7mX5X80gS4h6c52wczOjirlDx2hau8dwKbx7eI77Apdpi6caZH7hI\nuxmJTefumxlG8/DWLwNIwzGUB3eB8y4H6jNAN99Le1C+yZxvcKjwEdpQkhUDTvBQikYBbbhJ4/If\nKrdyiYnrEzxB4/JZD3HZRfbrhW69D7FzLMdgSfr0JLjMciS20AYyG9qUdU271kwpjJNLm8v9ajq8\n0HydqRyJvV8Pa5SqqOnUV3Cm9QZmeHIDmt3KTq7zCHYySocQYYhljjBgEEUYwQks9FiSeI/paY0C\nZx4iKMr64JIUTMTFU0h8GzYNHu/S+bhd4Qu8UMfNn46IvgXAH0PaH/8ZZv5PBjKfAfCfIb22f5mZ\nPzNc7B984ic08hJTyUvlJTh1L8UhjvpybWKW1OJ6fc5GBNfjtCtK98OKQ5oMKdxnGj2ke3jd8715\nVMaknQbL0eKUICcvybK9RInzpx11cpPCI7enKHJc5Knsvku1To9aMjrH+puENh7Qsrs0j/zyQ7Pj\n1j9G2vqgFhG75Q3a+9z2Pss76NGYEvrxtg0ZlTCRDjNZtw0PWaf0LLyEkYY0a2B9hPNejkgHOB9g\nvYeTMtOu0H2DW+8VL+FlrUILcGurZziODdl75yd08lHu6Eyz0y+7/QxveDSU23gQnEFw6VhupPRq\nNCbCWIbl+hI2JsK6dBrFTPkkS1SnsWI59WLyyZYd2IQI+AjjDTikF2jqGBzBtO7nLDGBPaUS6ws1\nlU7vHkY8gZalqB6nZ0JuT5CLhBke0wqvxesaO+vKwyIVhxM4AmBWDTJr2AXi0YCGs0zRTR6PHM6j\nbt0XXd/4MvUPcX2kwytEZAH8SQD/FFLnuJ8goh9m5p9VMn83gD8F4J9m5s8T0ZfsLvi7dzkHPwRK\n2IMM0lGtPhyieGQYbCkdtzMoXwq2BEJ6EaaZU8+It6QKM3F9WeWXXnn5cfNSrLt2tC/ITFMv0fKi\n7H6fEl/OIaPugcx7D+od+FH5bdiKhyEsGvBNvq+Dmq+jNRXMAJhUkiNVo6aDOeaflWroJpIyhBKc\n1iLVA4VUHxVqjZW8s49QO/hERxdLzhny6OBGT1WSzHrRGng3YZlmLNOExc0CzwJP3ax5j9InrG7C\nFFbMYcEc5XQSrZhpwWyXdIKJFsxmwexELg+f4UqfQicTVpwEhl/SizK/BPT1KJ6/D6PQ4gg3DLIE\ncgxjGbl5YCp/z4iWER3D2FiqBNfwghgTUmtmTKNqrEj1YBNjKggWo5ySigU2LHOUHXyW40wTGRNh\nHJeZir6EyaJ6STK3BfJuhbH0zAf8I105rpyeo6TgSt/wTU/PcPIQcVR0QB641eeQT6zU7x9aWH0/\nxzKtbjmlMuLrcOAz1ydGxzu/bnk6vgnAzzPzLwAAEf03AL4NwM8qmX8JwA8y8+cBgJl/eXe1b0N7\nA9B9eP9gzzcYqxtsmD+xArjQhjdqtLTR7WPYAh+VMu5l9djocQfncFAf9iE0IaI+ZMRKfneNaSBv\n1M+lfufGkxC6nztUHdY6y31rNKXfm7LwGUbL12XoRzpNOfpOXo5D0pVTLwqZK44O7/kC59bbRzJX\nTmXEr4xIBl6OW1+mM966My7uDd5Oab5MZ1zsueCF7ra0t+6My/SmW+OMt5PIuzdY3IwTrnhDb3HG\nBW8gM11wxlu8gZqp4hsZ+xZv7AUnumx0Imza+SPCwcPGUI9qFu9eh/uOd0v+Bs9YBruQOhJPockn\n6vt91JyjLV5zldK9pqtmsqs4W3RVVVnBKF61JteHtA43cMOD8Fy3NrA1JI5oz8oqGitjooWpGBNj\nuBooY3i0Zvo/S+hUcjDSM142a+IVpuIxRgtLqLWVE3gFuIRaAc6e5Bc6Oz5q1xX3Hpn9MNcto+PL\nAPwthX8ewD/eyXw1gImI/gcAfxeAP87Mf3a02F/6B37vwz8gMUr3QBNiA+eOgj1sY4TZg0PuRFjh\nXheeSyvu6FHbcudxRAu35TdrBiCeLPhkEc8G8WTTOBvwbBHPFvEk9LMFn4zQLGI0iGQRrQU7qabo\nbCr1LDJl3VnWPFnAoHZwXFU3R41T7uwYa5dHqY5qvdbR6/R4XTe7WY0F2LK0GAdMMRbQPPTKA871\nD0KRdwOa3pERSSMpLu3Hc1OoTMuNplq8o+V4ffZuMCQujeJ+JgcgAsZEuGnFeSaYKcGn+Yo304x1\nTh6QdRJPyFw9Ius8d7QEr1NHn1t97yZMvGKKC+a4plosGY4LJq7wHBfMWjZK7ZaYaQsmXnd5jj1M\njG1C9V4NiJ53S7YLm6UvP1qPm7ywizGb43pR1jk6/jo6KmsOeEdJ67doR3zal4tkkM7Npe90gHRo\nzefpKPGC8GLGC28sv7dWhEkhIwnpWAqpqNmNOcsPZ07PVRulWFqnCwb86hBWB+8dwmrhvYNfXaUL\nr8XtMX91CN7Br1bmOl7S0+zfflrzw10f9ZyOe2zECcA3APh9AL4IwI8R0Y8z81/vBf/89C0P/4CG\nGRNWOKzp4Yo1nXZAhldM8JXXyIme5vczPFxDY2BhxAsQLkAcjPC2w3sZToZFjEjlpC9AfLsvH66E\n8MYivJnhz5PMM8KbCeE8FTjNM/ybCeE8w7/RdJn9DB8mhDjDY0LADG9mBDch2Ak+zghyjm6WF8wU\nF8x+xbSumNcV87okeMm0BfO6KlrFq46iL906QiMVH4ZFCzehG5ZYc1QhHm7hozUyTCgvNZZeDfpF\n19NS59OOxkhvO4viIWIH8CnF1etaMlsDmhluXmFOHvNsEE/S72M24JP098i0wqNkWOZkyFNLixta\n0uOJUi7BKnkCqv+HXTMeq8xaZazWieM1Ms0qfGMgPArrF6+7Uzcn3qpcj1zcC6bl5eJgFc/uCHH9\nQ/KOjPzdVhrqJWOE5T6Tn9nyDrzFyYpRZMVAyp4ObvGcKxGtwWomXGlOs5mxqDHEqedPW1mq9J6X\njdRTNlbF0GzxLX9MX3BS8MwJd7xgih4nXsGBcPEO3k9Y1je4hhPerm/w1r/BxZ/TvKb5Fu3tqvhq\nvviz8N7grT8jvqAs6UfT6Phoh1d+EcCnFf5pJG+Hvv4WUvLoWwBvieh/AvC7AGyMjl//5/54gb/+\nq34rvuGrvviOH1FiozmZK8PMA9od+IBG+v+QBKVNsaQeVgmWR0WUOBfG+dR4nfR/MaILYHtFdCvY\nXsByvC31O0lx6EIzBhwM4sWCV4P4GyInR+ZYYtOcvR+yBsuRO3Zp9+NzH5hoEdgpWHCBPVtc4qfw\n6438Vi4gJUaGs4U/ZVlXZCezYjIrZrtisovAC2azwtkVs1kw6VnJTCP+kZxZYU1IPxPX36P8nHfg\nhQb9+1r4Dg+oujAkxg8XI4tMTHOmZXoj0+mM9Ac8EMOi3tM2xuK9YwXbEFPyoc/GEgOewCull+4a\ny0kqWgFeouIReE3eP6xIRkfePOYXqeto/fwSGtAU3cuF9VYpvNfjvqfbCavRrQimUqhvTzeQxRRW\nTN7DhRVT8Jh8mp3Qp7DCCd0Fn2TWFe5t4k3Bw4nOaC3X0dNJPU7HSCdOiapzhJkC7BTgZp8MVt3U\nLp8ymzjVzZij6GfdCDt52GmGnYPAHtO8YqKUszN52Vj4NeX5eAWvaZ4KL8lPQnN+hVs9nPclUTmX\njDdrLF1wc36bCREnvsKxxxt+q75n7ql5QyOVjC00btPNH7z+zEPScqjiMy/4D198fdSNjr8G4KuJ\n6CsB/BKA7wDwL3Yy/x2APylJpyek8Mv3jhb7r379Fyvy078I/PSdP+XePfMu6Hu0nJip4SPeDl4S\nqcSNu6fHhhEppkqRhsEmpix66XXCRnIXpC8Es0nZ69EgBkqGSNcPhaWviu6DkuUCuVQQnSYsqdh6\n2hEJDTAI5BDgsNKMFZPwksxKM1bRXdxUaFVmqrjQZlpwNhec6JqGueJMF5zMFTMtONF1l59pZ1xw\n4itO8YoTX3GOF/jgcKJr6iVDqVS2Ncm1mz8PTzb1uTEOq8zepN43BSfBFexpLLfRERzg5GrOhgCF\nahQg7PMaOYWzJCXGdFxwu4byTkjvGuMH8Drg5T4hnI41EkUYk5IxjYvIxyFJh5AmFM9DM/rj3aNx\nJHNDP1pCMDb9/cyEq1U7eat28Jp+Q27VXoFOzsNivi6YlwWTzDMv5aU8XddEu6YxrWuas6yat7QV\n09VgXgjzlTEvEfOVwJbhTxHr2SOcgHBi8JmBUwCdPezJYTovoJODPTu404T57OBPDv7s4E+TzA6r\nwsPJYS0yDv48pfnk4FaPafFwyypzi1faWnnrntx4DbsGmCUCi9xzNsIZj5O9ljBTSlCVUGkTdqIW\nN6g9XdxWN3nAsjy9g46rjxkdzPxZAJ/NOBH9By/9CR69PtJ1OpjZE9EfBvCXkP6M/yUz/ywR/SHh\nfx8z/xwR/fdIJkQE8F8w8+eGC/7fT/yEOu7ad9g0O/RH8Y7OUfIwuhF72jrghy39cA0PxEDpoXCa\nsc4z1lMeE/yc5kpLuQHrNDc0n2U6/UZmnoo+WyON40JtIBcUrHg2VPhT8YIvLjoBLkiZdb2O0Pv1\ndS5OyaPpaJvR8XQOz5GciekIoiUPYyImsyqjjKpRVhrUUWvYado9OmLQpdwDLsmB+aVdYOrge+XN\nQFdgQHJMGMDOnM8OlHLtec7hgznvB+/Q3wuF7CVKPyK3Q3MIsHzBjAWRfwNRTLDIBhEkswEzVdNN\neMwZrzzu9RQcpbhcqm4ZAelmnOE0c+oLIjBC5ml6LGuQ8BAi1hCx+ojf6NewDDqtwNmnmkMnAzoR\nIMOdDJzC6WSAc4YzvdXByYBmgc9ZziR8JlV6P6aS+01J/pjgpZNR5fqNyNzUkQEg1UM5kRRto1IP\niE85Vyvz0cjFk5LX+qdunX7956Mr+IrnVT/Y9VHP6QAz/0UAf7GjfV+H/1EAf/TWWj/9+7/u0Z8P\ngOzwVEGaNDPawjZ11oVpdmWC7CDXXNyGpSgOgyPXhE8xFHLyZ+yMhziiKV6jv7NODEA4AX6OCKcA\nf/LwJ0KYgTAD/sSIJwafIugUYGYPd1qB0wJzmmDnCf40YTqlOZwm+Flmjc+u4HCU8llyXks3pzwa\nmcknnlkxGS3byXVzkaFEy4Wr9EmYzWmhEX2HxhEIAQjRANFs5Ri1LLRRsI7z93Bp+oUS32f9gjcR\nRASzowdJME2JptzNj9OR8VzsiLc6UbqlRkPJO5ZxopRYXPA9mcpPNR+MovW4ARht/ofKFyEv+SC9\n96XwxLOiPTCyBo3WzDgiQIBFeCgs87QMgCDfzfIdzfi9NDWHDo9hS0vJ3QyzIDW7mwEzpWFlzrSC\nK3pPs1l/b60JjzeRy+G1I/4BnY3kJAWDGA0Cp3sqWEmKR+ryG61BmFI+UzinBPhwNoNZeCfTzFqO\nzfPhlY+m0fHuPR1E9C8A+A8B/CMA/jFm/kmhfyXSadafE9EfY+bvPFrrVU2iH/mPHk8kpRgxXTzc\nVY+QZkVPMuuW3uEZ3tAVHyHlXUQ1GhzH/Md5DFpXWF7h/AXnS6odYqTeCFkCWYIpMECOHuRDZKQu\niVO7g1LpEaVyY1s6uucJfLDGMltcJwuez4XXXLwDH/GekJNXdBqU4ZYOolZuIz/Qk/OPvQ6BkzeG\nY8rk59jgNubcIcn0j0LnUGAzwmNQcNUnZgSyKWeBppSbQNNd+DLg+zv0OBCm6yrDK3iAL4Kz5C+w\n5AQsR3o9T7w/2kvZj+mA98Rgg1I5mBc1BI96rHUOQguKfkgzohvSfRtXpA6+BrDXNBsJIRgDWIFZ\nwaPTM2STHZ5hVmEHNkqH1YgPwk/opG2fle2NRYAT2MkWxXZ4HS1tT85u5F+S0/H7n9b8cNfyfo7M\n/gyAbwfwfQPezzPz19+70KsaHd/4W//awzoUAXNODa9MbpS1RpglllhhaqwVYdZQYJtltN5QpuVb\nKXHOLN9J8SaXxqQKL9+9WzKd7EiG5Fw/SdvrMgzeKQ5FK3UvDMlDSV6eAeArpQRCq3h5WNnlm443\nkIWtuLdWddatHXfTsMf0Hb1VyylesA6BTEpuC6pKZ8hVOqXKZvC18mZQlTeLrNZPelPI1Twzr+oR\nxeHxy+aUg0E5FZHrH3hrAWs3JyWOjnbmom3FG6G9FzADGsAUUhdl8nC4djISctjBi3ckUjJaTyQh\nQgICqSRVQvAEH054688p90joe/KcTxPlZNfQyjs57Nm+Ynq80uxdMorHkquwJprhkDySazUmwtqN\nEe2I52UEFaXJ0RkglQdgwEb15zdINbeCzII7o3g3ZpYZRn33cw4NMDbY76XdwzeVRpZhTQCIYTgg\nRp+8Hqt4OGBTmCsYBG8QF4N4NYhvxYtxSkf/Qz7VJXPBBzS8wNOBf/h51Q91vY+cDmb+OQAgesFn\nKderGh3/5N/5Hx9X0vFd2Q3AEDAjJbbNHb+46qktUjVw5VOgDZ9jch+Xej0bawGFj4YvSOZveFq3\nXetVL0b64RipKVJ23eyNq+jcKJp2z7i6E67TCZfphMt8xnUCLlPqHxGnGct0xmXKMmdcZgVn+tzJ\nTCdcR7RphjcTztcLTtcrztcLztfrTTjNAl8SfFquoOsV83XB+boc6F1ABtX9e7IJPiUXcYGlzko4\nJRdwkDosQWq0BHENh5NyK59yR17lbpaHaul9IftIyWToaAySl6yYEh2vZEkU3Tq3vGhMShZ2M644\nYeGULFzhE66skogzTcOFr2AWGVlHw7l66tlfcVqvOPlrgv1F5muZT+tV0S6JlvmKd+r1BE49UVIB\ntBwmDT4ZDt4DXnAvePAy7/AL3sM1DQRenhlOHDo2JsPCRTEyWAwNlppnMRkVLtl/xRDp8dTjByV0\nRPIObpLf+6unjXA6wA/WIMOwchqnGNEkj8FINXSTn1W5hsuK5Hm6YFPwENIMcNRZuBRYfPb6CBod\nHyCn4x8iop8C8KsA/n1m/p+PhF/1p3M/+ISS3pFbldBnj+fY03MoYE9ewcSQYlBcZuN5TMt4pnV4\nQ1O8hha4fnH3xq3TAffy9Q5HGw5H8z0yd8wOKwgRMxZ8Kv4GwtWmkQsccYVjLmJUhpbpaDJiJxdB\ntbCZDFPgAT2OZOMYj1saB04Nu7KrXXJ3gqcUvw9ACIQYKe1umeSVTsWjEIhqSW5LiN6k4ajEwZlN\nTXqEAQGIsCoAhM1MYt0ez/fpJAM9eyQgngqSY6QBX+QvDb3KktRDocbbkWZU70bHZ490koe6u4L0\nX1yK2am7wZC6M0jfNRHWhjRO+VRRe9eBkY4IL2qsO3DfwHGPvyC9ZJfuOxhRNgLlO9qPPfpAju+Q\naeDXHAY1TDshVYHN4dlME7jSt/zSXLKn97SZXmR0/PbnVT/YtZfT8dOf/RX8zGd/ZVePiH4U41/5\nu5j5R3bUfgnAp5n5V4joGwD8t0T0dcz8a3v/z6saHfYnHtdhQwizRZwMwiwdEieLMBuZpdOiwuus\ndMyenNmsSZwKJ9lVVdlcA+waUxOthq7kcgXODnarHOFcQ4nf2ygPwRhgtdGx9yDAgKazsuMOvXyQ\nO7R7TxC8FI+QKrBRfM2opdRVafoRrYHjmM5xLKs/L8IDuMB0A8cE0Fxxngg4I4UezgCfAD4DOAF8\npoSfCHymlqZn1RWVJzGYnalVV3PTLvE/pHcVN7Frav7gbVSbupvhSHakS1CNzZYIu/o2pClhy1yc\nLIdE6xxq8bJGL+yuU0JMfZjpWViffhvIMAF0BcwVsAuAK1KVWqGFBXAyhzwvQLwqXM9Xxc80K8MA\ngZDCKyS5G2q24p2wpoO1DAk9w/Lr5WZpHJWzmARmpBCdPDNIh/J6fESTmXr8SCYX2WvK1uv7HAre\n4lEMlY2O4HCE2K35Ik/HR/DaMzq+7jNfgq/7TG2N9gPf/X80fGb+5kf/L2bOZjWY+SeJ6G8gVSn/\nyT2d1/XD+MdV2BA8OVxz5T2S2hK5up4XepDz9kHO3Ic5ndGPaVyjuHZlvrLgPGPhVGciu3kNRZzM\ngtmJg9gsFZ+W1ACrNMtacMqwr82zWlqLN/p+gQ1Rflm084h279zTQocz2hLUvpvvhR/QyUXRoszM\nQIyVfgvXekfrZDoAaQiWZpPhjMucZYzr5O2Ovmv56PR1bxzd7yYXcoITWE4Q5AJylHGBSQwaUmsV\nOL80kQ2BHCbhJ/AcSmn5lRarsaF5XFuNG0SZBWdODdJY4x091x+JXBqhUcHrXIqRZU9ANqz7I/Cj\nhNJb+A6dciLnFXALwNc6kOFF4csNvtbfWQ9x+x3m/vucZfxW9gguUYpeZm7vM5J7lzp6kcsGxHRb\nDwP99NkyUhfaah1V7wx1OCR/DK0sUXmucX6+rVtdGMILqqC3pTE/Itcr1Okon6g0eP1Fj1a+AAAg\nAElEQVQVZg5E9DuQDI6/eaT8ukbHaAd+65J4tWMPBCn+xAEuBsx+xcldsV4neOewugmrc/Ayr07o\n04CmZL21DU4UU6n1KFn3DbzCscckuOMVU0yJaJWnYJYjpNZjMiuclZLs7OWEQs0D2YQ0btHvpe2t\np70S+m+UZXKVyfyQz08uh+pJCA/Asi6pn8OwGAsyqMN7fjNwwBP+ngHx0PyozkRqJ5cC7TxJVdjS\nWt1KO3XxsmW4DPHAuQHPGgQjvTXIIAdaUgv2IDgArnkZudBYkUU6AdPimi88VnyE0l0VK5d+NqWv\nzYpUj6E05eLUfKt0XhY8KDwKHgGorqtNW3MgtXMnALk+im13uGlGOm01cNVvXe9qFz2R6Cm+QWrk\ndwFwYdCV03yBgjkZmVIlFgbluDMgP3sOsXrhG+Gz+h1ziDWM7YZDu4Ja+E4bpF4nMRBkphOSgaBm\nmjvaHtzrqBmyRn7jlD468nPXt5j66VoX2z6cjY64I/Mxuxac3vmaRPTtAP4EgC8B8BeI6KeY+VsB\n/B4A301EcgQDf4iZ/87RWq9rdDxxkidl2i+YsALhbSra45F2C33vhRzP1LUWRIZHtCyrYJbs7rQu\nt10jxV9JJQwygAm170cDZ32UolAggBzXL85RDsWIZgY0dPJA+wVkRcvuTx7oPkK7U2+bnJsG7xlG\no3WP5Hud/HvuxbIFpgPeJhfmlo6cRkmt1fOwCDYNb1OoL5gW96bSM+wplXX2lA0MKcGOOgfYZIQj\npLAdAhwnmAUmEJjTltAAsJxKp7sc6ss6eY2d9TLfxCidPdF2hD0YG1nP24ZvoTVI9ZXqh9SaIbmW\nQ8xG3FzrOsRJ+tlMBkHmqOZCU3Ktfgpl0dsIM8dUUnyKMDaCTKx1gFg8NF5qkBip6opY29uHmOqP\nLDEVyrpEmLcxrX2R+S2D3iZ5UvfWaM7Pm3IqTfOO5JVew9MGwambj+AOp3vXsfd/zx8awP6G62N2\nvY86Hcz8QwB+aED/QQAPZWu+rtGxm1pyfKUXVdq6pl2C7GL7rUB/E8vMB7xejxkpBpndrf08oG1k\nR3qSRU0jmew5GIUuRmEMPpC9l8YohtGLxiPJaPnqHgTDTcnBw6KRv/VQeRc/9wPy2RNnwLAIEsRY\nUuGjhcDX0bkQdeaED/i8pTNIwhZxM+tQRhvuyLSx7G05bu8l7c068nRJvg1JXg7diwdILxIAUyx9\nSbhPJtR5MBOlypfas9HjA3rMyYeGpCsx167EPa5p2cuzcKpKCk5ejUk+L8Op6uuZQZ8Sua66J7JR\nru8n6Hur3tM6t4jukN/l9eGmvAmJqCGcDC8ibzF+1t0D5+/RreuWzEv5v4mvj3QZ9Hd9xV9+VjEN\n1uGAO5MYd3V6moYdwCe0FvtJrPmO1ox5yys6QPK0AFJ2utMpO0AFa29Ffnj3Mo/g/dp5l94nfr0L\nmAZrA2ND5CX4nTK6GmmlAejo9SghDWiV3vfbAYn7PyKFFjxAK8P6dPQyNbzipqJjboJVdv0Nrcq3\nNJSwRWOE7nl69mgvkc1Dvjes4NHc87Onige8XV3HaUwoOTVDw/7OjULP417OAjnjkiPV3zXDkeRn\nUzKs6HKsnycAbyjR5Th+gqusXj95esQA2ZlLaIYlLLXHu2ctoD5bgLJJoXzSZpBMusE7mEZ8PT9i\n7L+rwU/MH9HrI18G/V1e/9//9rhOts7Lu4TG8xGvWYMgFTn318wPH53A1wyVxFd2AflG1cbB9cY6\ner2jMsI9bX2C15cvjjgMH9xFe9e8e3Qe/H9iPvEhR1DzCZDoFGxIuvRSK5Nho3El52ijg4Dae0J2\nsWaJChb6qvpTFDhu6VZgEs9DyHA9dl0e6PoExq3xiGyvxyjVOUvFTjkSmit2YhV4j77s6GrYKxn1\nN82Jgkc0VvfFXbRuDbaEONlmhAZ3CZ8Fd53M3Ou4nXWsnM6zoMCwS0hjDenkzsEwi6/4dcQPsKtP\nJ+yWACvyet3yLFT3RE97WCYnWI94+bn5yEW3RT656vVR7zL7Ti///zyu08QwzQ5sWzpTtbbJpIdJ\nli8xeXuw7ii7XX2Jnh7a0geqgSI75GJla89AhvdCLv3oXd0HfJ0bUWC9E+1pcaAXO1lF03Tm+rfs\nP/8mT6KDafA32+X3sAVytaS8ky3Jh/kIXj6OWmBC3OAkCaBKT4U6SkM4GIBSX6BoGMYwyMSUHxBS\nsiE7CVVEBjs5ocFRdp8GBozIMd0GsgE2pfcL1XvbiLHhMTYm3IB2L3xrHaCWCFf1KQqsjQlf4Y2R\nogyT3lDZ4Pl0ElDaB+RRcN/hPX+EY0eGAH4DxDMhviHENwZ8NohvDOIbC34jfT/eWPAbh3iyiGTB\nk0V0DnEW+huLeHbgNxbxjUM82wp3PBMi7CWo4cvsLgH2rVd0A3sxcBeP+NYgXkgGEC8AvwUsMcBW\nvKURiCY1n1sILHLZa8QTUjHFST2H+h2/+h7ypPT0LOHmPI9CzOV4u/JEl6PyCt7IhTvktVyeX3D9\nlpepf5DrE6NDXednSsITGstZl5PureqG19E2VnpvrfcP3D0j4xbtXp2e3ru49+B3xOeAesxP5ngD\nZ6kz0PSi2NMb0IgAIw8tUrMxLU52S9vVyzSDdEKlM2iMi2BHMPJ5J+ODkgFiexjVQLE9nIyVBu7W\nZAc5sQA5tTCCUY+BSr5CroPdwPnB7yRB2QKYGXRGeRDnEw/D8Ep+YGtaP0b0e2Sh3kn9LpS6W49a\nXuO1zqHFW+sQaoO0bs7N1YKiQ2bdVC30eqO1MuyBiFSmO53WodQPJRBMIFhPMGvqdWQswRiCQWoC\naEhglhGrnvEE8gTjkfQXgrkSzBUwFylKeE0nZWgBcBUv15WBBXLKR3JEJDGdbMobAUseCSUanOSQ\nnET3i7isjQX1/5DjrP1Mmtbz75HJCaYdn1GfHf2zJA6ePfrZEsPgOTR43sQOxgsMj695XvWDXZ8Y\nHeqav+15XSr/VAJtBAZyQBOCaeRGeFD0bOlzpeWmScVguCeunGPGHa2RA7onMpoHfE+7B6cjfgBw\nqYOvCs6lhi9I7maDsiPMyYBMlcaZtqovvKwTLxVP4Q4xKrLXwiaa0Z+rESMgG4cDHLbSCh4Fjmot\nALr4FfUfSv47aziPsAOrHVWD69NCJS+gG7iT9gC9hCGyZyF7EfyYtpl7/pGe5AMVw677GxzRD2XM\nsW6MgAtpjjJzhzf0O2R5T1d2zWZikOPUpXVCmmUHb6w4m1ZxXq5IxsOvo8jn2i6NbodnmBqDVY1n\n6uNoHHIfTumzxdzyS7+SfKpnZzS86Q6ZHR4zgEsEXyJwicCVgbcKv4TEf5vxCNgINvJHkaY1TApf\nI/ha1+O3oepe4sfO6Li+hyOz7/J6XaPjDz+hxHgu1+GR3Ieelr+kM1Ixp96Sz/T8Bde7tfzyzDvV\n/MKcWv2yRqbLC4RGLxlGSRhraPkFFAd0cROXXW+3NnmknBMxNkwuVnQBSBcz0jy9M8lub6+GPMjL\n3Lmxm0Z0VD0UzYtJvFRkD8YBf+ixeul4ZK0cPutzVfZGzic44B3qojPwxLXe4EJr8AsQ33Y4lAG5\n7Mhc0j3fFFZzuF1orYd3cCMvX2Lhye9oxJCzjOoZVEbY8Bg1xt+lPTofyO99L8tzY0/3lr7+edD9\nfXv81rgln58/Si7MFus8YZknrLPDOk/NWAqseNNWdmn03ICWRmSA3q4wb1eYtx50TTAJbt6uoHmF\nmdIgt8LYFcZ4EK0wtMJgBfEKE9Og6GHCCuNXkPcwdgWZKls/3I/H9YmnQ1//6xM6O27XIZ5fDs/o\najwbCtl9boFUXxjV3a522i2dWnp2x/e07L7PO/6AesLBI7navaYrWoF5S5eXfzkxIXINPcvLyQja\n2wGrudn9drvkRl52V9nQ4rzrP6EYZMPQlz3g7cjfE1bbZM+PaDm5Le80gerJ8Ki5QHesmfr+pFoS\n0Uj/lFxToqcV+kAnd3S9sQ4bAzpF0JsIs6Zk1FwTgpYRjWHWuE9bY0l+TQmwWU6tE7h8XbLjSL/z\nGh5QjONDnniKaN3y7rn6r/I+8cE1NKN/we8pvuS54+rzg8szh8ozqD5PFM1V+QSrNXrdjhZZjl+z\nQWQAnFo1GF4xscEZqc8PM6V+PyyyV0rdX1n1AhKZpjcQk+IbSbyPoBBAPoLEc0Eh1TohH4ACZ36V\nJS/yMYBsBJ0jyEXgTahr5DW93KsfL5vjE6OjuX7+CR3CNqFNP+ztgP/SoXaYPDg6yTd51NJysmUY\n8PJDrBRQomQErEhHIwXWc3JzM2ilTQEmzpUhG3mqBZnUMdqy+4ot3Mx7sE58zWf35xt6jdFFNT8i\nf+Y5Z6Iz6FLLzJ6WTqb0f/9mbe0pADf1DACkIm3dC4UAlCpmhOphivL5iZem1any2egI1qSCYLoI\nmE3VRGOhmVI0LMsFTSt0061hEUyiRWvaJnQUYZ00MHPj5nY2BLhM8wknaV5nmqZ3vR7DBoIJfFxP\nRrv4tfF2j/weT19HL/FneSNZCS1Cl+G2W9pRCe+kQxvasLS36iOik55TeJaa3KFSgbXgAu/IlvWm\nDEsOkuR3YGHQNZ1wcU3eB4OuED5qTZEMb/JPcMhHQP1e5s+M0Cb8U/t5Vrx+niVc1PNJf66UdiEP\nGp8f9euTOh36erZl3+hFph9qRy/HW7yRXH6x6G2cpvUGw2bwPg87erEdxFvaLV4uJY0Bv3l55hjn\n0Q6+h5/lKXh7/BTbjr/lCOuAruX7tTb0ZBSSlJk2udx0mbFDH8mj4ZuBfKEjFQUzFOHgpTEbPTY3\nNBQ8DmTTzZNOzAi1HQ0dA9pIrqNRym0gx+Ur0eS16PkltFvy936XH5Hd0wMQdeEw6VAd55YW++Ji\nWn6Dm62OwmHkb6Q/9/5vRtnL1P3NqOqWsnGUTkEhci1mJkZy1mn6v1y46xXT40C8cNM7Btd+jbEe\nX5MhwgxgJuBEwExSYl3wE0mdI2pkUj2j+3CaB2u8wOj48udVP9j1SZ0OfX3REzr9Tik/gHRxpJfC\n/SwPnZJR381cYG4NCXRyo10Waf3B+nswqtHDnQ7p/0/LqnW4p2WjYJT8epQYe0vuQJdlhxfLMIKn\nEEMLm125XFcj7uhGY8rLm4LUtiiGhMLDO8Bji+d+IvpFSTG2tGIgIp1W0Xjh81g+AqUoVB7570mv\nBKP9WZvv5RHtUfmeNjK276WN6Ae6DDTlu3lGKhiYPY0ngAMBQXYfEcmsywlLuW6L2mFw9mhkD9+U\nRv4/osldg8XIRAprlKPZhZer0yoeS+VarjppDQVz1c88c42gJcgcYdaQQmprCmkYH+Sel5mDVKqN\nIAT535ORTRRSKXgbUsl4F1IZePGgUUwuq3i2iGeLcLbpqPFZD5PogzGih043r6fpJXz6xPUvP6/6\nwa5Pwiv6Wm+LbK6crKVHGNAeGbf0GSX5McNAO9/FG8js8ZpsfdPCfWZ/w+tkNjxq9QtPGwjPjlv6\nPd+kZzCrbFLODbxyXw0ytceGzGy2tAYe8IvRIc24SI4U5vLehJ4mj/rcJK3gLc9A46w6q8qaHtLs\nLM0kYS1akYqC5dybDOemaGsnW3RHPIjhLWvka8+Qfdf8/LJ+Hx6NPR4/ONDih/16dvRJTq/wJEeu\n1T2dwx6NUd3R0ok1amUkJNLiSW61E672hIs54WpPuJoJiz3hYk+4mnOaC/9c5DK/widc7LnILmpN\nvdZiZszTgvN6wel8xXm54LReE75ecV6vOK2XzXzyy5Be5qXirlnvAgLjOs9Y5hnX+STzjHU+YZlP\nuAq98k4yRP60JyP8aU7rTHP6DOkkPr7nrk+Mjnd/va7R8b8/oTNy5R7thp7BGemBalFDHZzCGAyU\nzqfN6Q+uarnwFWfHh3rINTO29GyAUEQyDgJKSIIk/kk2/Zy9kdEYI3tGylE4ZJQfc4Q/y1MGk3EM\nsqlglrGcQiZODA9VJbQMXTm00LEr21QHlR1O7fyJZm5gGtMbGkHkqtt7o1O6jaYbp7y7o/JoGKRG\ngJlXSlOjejkCSrIw5aRfla9T5uyZ0y9aPY9o72I+eMHfzdMy2puyt8YL5mGfpm5mjQObzrNtl1rU\nHIrMdx1/pO/2+cFarMbB0wRvDKJhkAlwZgGbCEMrJnPB2UxYjcNqJng904CmeCP6tK6YfBrz2s7T\numL2Kya/VHhdMXnfyvkV87p0Ov06HtMqRv7k4SbCPDFW5+GnFet0TadiJgc/uQKv09ThDl7xetw7\n6Rgun+MK9yKjA/i9L9D9MNf1mc6qr3i9rtHxV9/BGs/cPzos0hPzS7G/ugefPoZKisZMjTHS76jG\nOFU81h+nJFGpjrT5QUzdA5mi/JCseHLSgvQD3KDtapt5o9/3EfwJHZoYNHPbqfKR0Xe5vDUctvfL\n+8YDtl1W/Q18b9wjdyvnocefkevx/HvrYR6g7YVtjmhH1+jefIJHHRLnlJMRcy7GLF1pZwLLHOea\np7HltXI5HyTVuVC6woOpBmwOsFhc4MD4ooZ+MPZye/aG9qh55amT02/VOzfgFYM481q5nkc+Pa/m\nacXk1v1k15wIO+3wugTaws8ndAyJRzVvD15yffcL9V//+iSnQ19vntAhbMpS9yWs44DWy2/ok+Lb\ndp1AFp5dGqhwYAfPFh6u8oUWUOEi29H0mkHhgW3ZMUy+7hSmsMIVmq8yYW3kG51+ZNlr3aFMfoWN\nof+Yd5DNn+PeP9v2erQGxhHvHtlbXsZ7fplHnlnZS/auxlFeRJ+H8KxB8YzhAVSv4DtKMr4p9448\nHnfPgBQGS/1v8ouwHGMlSo3afHqxcQDYU0qWlOdIOZ6aX4y2wrkaroaTscXVo6Y8ZoVWNiD8AE/R\nTCdfjsSzgqEaDXKFi3FS6fDK46YMmKZRoW5QyOlzhQNoIsCxGB/chp/kO1zCT8UQQTFAcliKu++9\nDmvxaOPxyPX3vED3A12fhFfU9Qtf8xWPKxm07as3bsmMK9oMcWe2chvaPHKTIrkfecaCCStPCq7z\nigkLb2krTxVXcDu3NM8Op+sVp+WK0/WCc4GvmJelwdOQuGnGBd7ILUK7XnCSluoUImz0MN0xRIb6\nbnZfUurkNGHzfVZepQ0vh7KyN2B05K0fR7x7dHd+vsPrfRgjL7mO9A2qUaBCg5swhcZNx+uNi1u8\nHIp8zXHr53oXHpwOJzlNAuZ6Us4g3bu912bvfnwEf3adl/wfzxxffkROnzAEiueqfK455BgqrzbZ\nQTW+PdLbyqPdYPTwiPeJ0fEFdb2q0fHH/s3vfFjHMMOxh+MVE3uBPabY0iZe4aKC2VdeTLzp4uHe\nJp1ev8jHVZ7dRjX1MgOcUtGbDCMXxFEyB/KlIA9SJrmRDHEbosAypG6CpjU4IqyNMKcA4yLMm6jW\nCCKv1xPdHNYZuZ972oEM3SEzvO4xCB6V0Q+qnv/IzE/qjX6mW7/TvbK31tGhD96hvSt+Njr6vJ17\n83ueoeuk0lsvOsZzL1A9VNjz7vmZe2aP1o8j3j0ye7xHDPwjmfkBfergPdojuDYYA1JDwizzMbve\nR50OIvpPAfwBpE/2bwD415j5V4X3RwD8QaRP/l9n5r98tNarGh2f4t94WIfAmHhNRkKUWQwJTZvi\nWoyRYmQU+XVIzzqNbFxhSvvJwcAO/da4pTd6OOzB+TTILblb6x29dO7BH+RFGARYREpzgClwhEEg\nmWEQSfiwCEOZ2+swCIYjrDTuSpUWA2yUueH1c4SN0vBrI1tphSeyOeH04ZfSMy+mDPfGAga0d8kD\nHn8p3Xoh9fekNoqzsfGSHfczxgfjzhytd4Srv+mmAN07xEnfP9ojoOcRbcS7V07TbhlPe8bRs3of\ns+s95XT8ZQD/DjNHIvqPAfwRAP8uEX0tgO8A8LUAvgzAXyGir2He7+/7qkbHv/Fn/9TjSoSU6W/S\nnAaAAgtuK5zkO9xWuPIFd2p9y9VafvRI3z1HAUcyEW0uwtTho7Enc4+uQ+tivyfe/yg84Hnj0tG9\nPOhU8MXM6ahf4QtOSr7hj/C5rLmYGZ4cTusVJ3/F2S8FPnk5DihwlenxpDP7ZYd/3axZjA65d188\n7llnz1B4X3N/0Q1Y3xNhIHfPGvle0vMRPOLl9ayaD3RzHxrIXNqlazwqOQUXvbhdo8HVukA1CHR/\nIo1DaCP8Xr3GEMlepVseitF4VM8O5j3P1j3esiMZDff32m/y632EV5j5RxX6vwD45wX+NgA/wMwr\ngF8gop8H8E0AfnxvrVc1Ov6+X/vlx5Vu7ZDexwC2D7n+gTea9YOtd/3Zg/Uyv98RHNH0F0nvBknh\n2h3dr0WKfyt58R3RDCImXkFgWHhMuOLMDitS0u0qibcrHFZMicaVV/lT1en5cFh5kmRdIx4t8WYF\nBUcPF9aWLzKFH1fBQ+tVUzJpnSSTullh/wE7mh+R1TMpvDf08j2BAY8Pxp18JlKVY2tfmHSsWQq5\nWSoF3Ljj554x+XhzwytVZk0pKc+W0mmIwDA+glaG8QLrec04S2GrVj7T6swwUeBV0WS9nG+QDYoe\nzkbFCB5+J3bWyYYHyd+0GAoWm9o7ugPvqCvvph6Plhm8lNu+LNT0ccmz7vcy1LHoer7kGdveL4RS\nOZlks0aloF4telePmHPpFUULdzwgF+NraLFbb89Yvuf6Z1+g+4Gu5f0fmf2DAH5A4C9Fa2B8Hsnj\nsXu97umVZ/83vesDtq7Xd7Gj1IbCPT/PLX5vbN7SMUjVCnXvAELq0aAMr1TllMquMbWbrzL9GqXz\nrVqnVEoNqE3hpJ8GNe5o3sclQYw8N+5rCi2OUB8aNnjY4Gsn2n4n+Qh+zxpR7fzkY9NdbiH0I9oQ\nP1ozG3b3eJ563kh2JKPvJ3VfsS6By0inK5QBylI5sxgPEYCiMQOIdIMPMKVW5WGyaZD0i3EWYVL0\n2SBm2iy0zJ+3sgUeyNglwi4B9lqHu8YGT7TQ0eKWxtJzJka4tZcPpeeINrRIw/JZkP5MWH9mg1kb\nbRJKyd9NRv1+Y0JqWujqXOCeN90pY9v7iIWXe7GU2iH5pI0+2TdRK6dO40RN0zVIFK1dJ92PdOE6\nrgxz6WgXBl0gPEVbWjmT5br16EKJfwVw4TbH69HrCef8h76ezekgoh/FuFnJdzHzj4jMvwdgYebv\nP1jq0Mx7XaPj80/ovEtj4n2Md7S2N65p6uWdK829Cs06BLePB+vgndbpcaHZdFPaJcAt0uRpDS2+\nBNi14nYJSsbDQviQBmJZpuhtcQ5AjO0IcUuL4QZfZHZ5MjgmW6sMrrDNNHQyJBtBTXtAhgj1K6c9\nGdlgyPVDZmwruN5D63EHeCNHtsmm495waSaLQHJEmyw8CR0tHKjqBs2juq4nJzwLBkleTEp0rnky\nGZf8F0WzLInMPsL8uuTDxAjHK0y8juVlbaNKzVMpOR+r9yNwgUuZes0reOxwxQ8x9c8xUkvGou1X\nJDNpI0PRe1wbHI3ciJZxh1SL5oTUi2WueIb51NJTeXYayEH1Jak8PqH2OMnJn+VKSH1jVPctgfa7\n/kYCcq+VhkFb2YDaQG5BSkvMcG4Wt2CLi46Gsz5dlU6mS8PMEvr+GF17OR1/+7Ofw9/+7M/u6jHz\nNx+tS0T/KoB/BsDvU+RfBPBphX+50Hav1zU6/q8n9Uaxw5F7+l78Fi8bA/o6wvuY9yO6grOjtKtz\nFquTKnvOwbsacvCUQweqwqCd4J0THZeq8YneOjl4hWs5ZsK0eLhlldmn+dri07LCXX2lTSvc5DFN\nCXeLx2Q9nF0xGY9gPCbjS8uJ1IAqIoeQWB6yMaZoBMscY3K2ZHo2KELHC5rfzx2NeRDB4NvRjXhw\nmw2fXxJVYfE+FQWPsZE5CH00XX77MUqIzEPc3lG6zuZqk6tx8Hm2mpbuGQ0nnQoX3EyiK2vJOmBg\nWj3cKvfK6lOlyp4WVrg1YFpXYI2waxAZua9Wj0l0E030hZ7XmtYVDJJS+elEWC5zH0FgKXuvG+JF\nkv4imZd1Jtmh51L5ED1KtCj6DJJ+Idw2ARSayXQlUxoBxqj4Cg+Vpte20hMILhkRmElmFMMCM4kh\nscVzg7OsU+VIyVeDhbMRMqEJFVFADXsE1PBFDgWJR7TIFz1WfLQVdXu9o5YU64D/bJsLlu+g2/vS\n/ua99nI6fttnfid+22d+Z8F/9rt/6O41iehbAPxbAH4PM18U64cBfD8RfS9SWOWrcaMM6OsaHf/v\nEzricmwqTeY3QMZ7/nwHbzqQYTzf6+VIdo8XAOc8jIuYp7UrbNYWNEuwUS7MceGzoZ6l1OnSpdhA\nfZjGuoMsD8dEM0iJtmQizMSgN/XhmRuotd1X46ZLqwmxPNycGB1Ouey1KzobJdiBudfbgbNeefD1\nD8od2pAX2wfoiMbifcmGAS04tGyoo7GS63m99UMdzZkAYxiTXUtDPVZN8Tg3xJM8iYJLLkXVUfkY\nqukedziA7X0T6r1Qu/AqXN0Lt3S0V8OECATATzYZ0KX89YRF5jpch2eZLX0r38oEa3eK8UkJ8K5A\nnws+FegLbRG+Vn+sm2S8nH4CGFxPmwCySUkxmRJBk5L4TXhto6NhSu/enp4N2/x9iUCunzHmbena\nA7Tpcs31+7LJOeqNbw0f8Y7g/N2YO/rH6HpPdTr+c6RP9Ucp3Zw/xszfycyfI6I/B+BzSG+z72Tm\nw0/9VY2Ov/mtX/G4EgHGxdS0y3Ft4CWVAkvL7Z5mY6Ebxd/K6TnCWK5bXWD7RcnWel+OOrv0vIJH\n/BHdA+QY1obHj6U9elwtw/n3G3hAR3+Dwyu/MI/uJlIv69FufvCQe/GQW7//CjDQPIy4A7gT7l3G\n/XqRG/Z25N//ibBb1aH9tQ0AYrBhgKicUmADmJzfIzg2OEq+T8Fv6eQXidrlHu14E40bw67ZMTdr\noNtti54DaIowU4SdIuIUME2pNTpNLPQAOwXxxK1Y5wlz6eWR5h5u8Ln29ojWwJGG5UIAACAASURB\nVHkP5z0mn5KOC9zQFR46nvdSUbjKZbr1AdarUJDkRrEyXMuplkLnHbqC44AelW6mxwQf2invCN5z\nAL+T62jRkcf6Y3C9jzodzPzVB7zvAfA99671qkbHj3/PNz6sQ8ywIcDGlDtgQyywu4ueYNfJWC/5\nCdJ22YksxVC6hDYuv3tm7R58VP8oXHQrZPRoeOko3HRraF16cC0dLjiC3xWN0eQ/8Aamhr7l78Mj\nfUzyUs7XJozWEagzaGgDbNZodrMgtUbeyUqIoYdll8zyJGYgdfsFRCavJTTRLXwlC0Z5UabTHi1O\nocMlwbieLGHVn2OsY3JZbpFzxsOagJNdUnK1hXhzANwzM4Cg5gXpRIXZkTfKUOrnYhR1czzQKQbZ\n/prsAZbfmfuxtvg9MoeyMnJH681QHrme3tNwwNN0FmP48ITUrRGf0PmYXZ/0XlHXP/pf//WHdSTq\nCgOGIV3vU+jU4YrWyFIscMMjtX52afSxx1FYJO8Y9I1N2CYA7PEsamnfgOMdb/6ZgPrFu6Vzazxi\nXLwLA8Xg+EGSf8d7HiL5d9BHRt1ADkhNtiaT4viTNOHKcX3Nk6ZdrUxqyMVuq5dkzYYOAgxLqIDr\nMBwTHDWtlaE4oLGEqnoaRxDHktzHyhtSTjhRpXO5lxS8S68GSYE1ndNmAJRfKhnmdGpCv4RLfF/n\nAvS01uvR5hKItwRiKnExr+r3QV/a5Z6/tyP+DZxBchQ7H92eWlzP5di2olHKr/J2R2ewJnmGXVfY\nxcOsvsC3ZrfHNyssPAx72Jhgy2s6ReZX2NXDiFFgLLTTC8XBpflWwabS+nlEy3NxfYy8mvfA98rl\nv+XH0Oh4hSOzL7pe1ej4+j/9M48rEe4rdnVj9E2BDmWLmxnp25eTA3WIQh5o+Tgo9Bw63N+ghcc/\nls1nBDz2JVOGB5fjF5qWYWoMiIae19A5CUqHuzVHP3L5wXmHnkMMm0v24d3v27yQCKmR32QQZI7O\nIMhc6L2MNQjWIJpU6TTCILBBjGkEnyugSln7aBGCQQwmGbNRneLIsCQTltMZmj6iiWxLq/IUqcih\ndBFWn5fAmt6Ea/Q9XhqEjXjC17T8ue/tKv9/9t491ralywv6jao519qnG1ECGKTp9qNNgwEjKqGR\nkMCHooHEiFHUABoBJR0Q8A9fPEQaH2CrQYJPFOJ/QIwQ0xgjtMYvxtA2GFuM0CANgdDdahQBG9hr\nzTmrhn+MMapG1ay5Hvuce+739b3zpm6NZ529155rzlGjxqPHTffIODzS7Q3T3pv11vkBGc6ENc64\nhBe8hne4xJcxHF4KXkZseUN4wKMt47y84nS94LRcC3xeLjhdX3W+VPr1gtNywfn6qvMFp+V1Rz8t\nV4EnlQkXnIkxIyFGLkbByFA4Mh56XoGnO7qExkjYxXs08SEt72lZv6H5DF2fxPHKh7zuGh0atfpb\nIK+d387M33Ig95MAfDuAf4SZf+9wsa97w09I2Lmwj3G6wz/Apw5ndF0S0XZTPMIbeX5M3mj2MH/L\n/AYdtiJMkwYcTi1cZwlc9XCvV2R8t95ONk+hBJ4GFyTog1FDrsGFFpQaUk+rwYhV39OqHmXnHduy\n1PAgOyrQ4wbLXIBlMKAeJ3S4yLk1ip5bJ0DycSNKUaQKoxRYagswQWkSxJljbAsszfs1i05A9ZJY\ntoTHzbvS4SUI9A265uXY3Xu3aPfwES04mnetf4hd8h15YsaJFkRKeKGLpBOHmk58a2xhLFN0Q01P\nThyRsnShlu/AhkgJISTEmBBOqeJTQpiTeEHeJYRV0tHrLLEiO/o2lgkrF3ufBzNG9AzkDGyL2ok3\n9Ms6HjbvSRjMseKHMrPzvhzJdHC3k/kBf31FH68QUQTw7wH4mZDc2z9MRN/KzN81kPsWAP81bv2J\nf9gbfkJCTRGbFbaOsZb+VTrLoqaKqWyRc7wCz3VdqCyf1Epe1GhYxFighcUQWSCtmjUwlBaAVi5y\nUNmqy26NVhcLgKiyH8nYKHNAbbPtMmXMwPAzq0GRB/ydTifn+W1FyVyrRq5qMKzaCo/ZpRlqbYct\naNXIDNpIaCvpGhm0BVeRUipYBnPP9710umMcsh2Xwkdyt/SNxrE9fqnHNaEew9g4BYfXo5oexxyQ\n7f70xz6aleSNBkvFtPTOYny51M2QGTmR02Fwl+YJawqou0Z21SLLEVfvETzyljwC35Oza+TJ83KP\nePpuyRSPG2OiDZOdz5Bj99+nJ+HDNTKBMyEnkriTRMhZ5uE44u3oEzjPBV+93MrgrQ5sLd4MlUU6\n5t1bC2CEGaATiQExAzQDQXE6AWGWYOgwYS+r/HBSPQ+fAJoE97LvY3R81dtVP7XrK73L7DcC+G5m\n/jMAQES/G1Jrva8w8isA/OcAftJ7/WujiwA0KaT9i7LS8oDmR76h6weSZrNsAJE7f9dzZlpZDIuF\ntXohpHpeocHxBjJW8fCKUtAGwEMPww/FI2LZEcQEDgnHQXi6I9cdvB2ZGM0H9ZVjFpMrs/IT9GEE\nsFZAlYcRDnjQB1crjw1IG5ASdzIVRmKJzve/P7vnT3m5DPABXD63e+tZXENkyQuOJJUhozwQzcsR\ntGz0VDKLBnITQJF0BqB0Ul1MqIF8BCDID2THK/VIpMJUjmIUJl3DH834dUKVa2Dg/Y8Fn7lGgdNP\nzvysnru4f3GRuzUcjzt8p+sNj042gaQYG2shNtZCb6wF3nT2tCo7KV35O5rptzLhkhCvG+IlIV62\nCjfzJtVabb52+GUgc9kQBmsFZuCFwC8EvJDUF9G5oY9kdCQdIoNWd7DO+xgdX/921U/t+ko3Or4G\nwJ9z+PcA+MlegIi+BmKI/F0Qo+P4Ffgj3/ATEuRBG7k+nANLvf/I+vIjMDOCRqXzRrUngPZ3MNhe\nmA2tRMLrizahVL+DeioEF5gXseyNzp6/9rpe/0jOOS70O9JkSJJ91i2t4XW0u+sRpNGdBXiVz7cb\n04AWITteg+3yD2q/+zTDg8UoyYRaTyMBOaFG3q8y8lph3jq8ky3yXt+OutTNWl667iXdRN67n9Xo\nGMneWMPWJ61AVhoTxk4uup9JXcX3+LvfA/I3aAyjfvc8mh+ReWTmwTyiPSNzi+fTv49Kxo+Gk6MD\nGbb1zUgLgtcCY1QKh7WwFR6jUpDMipVlV7jMipZlg7VYmYeZCDkH8W4kAhc4FA9FhcOhDCfSo0Yg\npIw5bcV7wqmTz6RHlJLZF3LS2KKEkLTKrHZPjjEhvEsIZ+Xn3MiIjsUmMUIGQgoKR8RECFlu3HSK\nyL5MvpW7L3Qph59defxcyuir3pHcDo41KPoN1+dGx4e/7hkdjzgrfwuAX8XMTNQ0Td5fP/aJn8z9\nBBKxD5SiNc61XUoIbwBWGrvF7+Dc0TjJSyxvOlbZWXs838ILjZF1V96v18uHIJvXEDQOczSPZBwc\nB7TC8zS4F6s9mEfjFu8Rfi+zonh3+AoxuK7QssYVZyt17GTCAmRHCyrHV6EHhRlizFCSHSZFgGZ5\n4YSpwjSAw3TA6/BwYw3yLy56EB7Q6A6/gT90MOU9/dGREx6gvY/MrXttVD7+Hu9U16SBHE9a5VVL\nxG8unmMLUy0xH2ItPz+g1/LxU7fGfj1auekFM6n3YbomxIvhSlN4vmzK2xqZ6erkOn2TjddUS6u/\nQCqZvvQ4gc8Qj4LCOAP8ruOdzevQygotIL8E5POENEdt2DhjoRkbZqw0Y8FJ6GS8U5ErfOU1/E5+\nw7Tj5d5t9cT1T7xZ89O7rjh/2j/Czeue0fG9aOuqfy32HVR+IoDfrVXKfhiAn01EKzN/a7/YN3+p\nwl/822U8cjFInz1UYFb/ZoMXWZXnymv5vb5fX3bKWAC+ileCtdY/X8c06PFJ0OMTXoTmZ77yjoYr\na90Ari8+fQj28C3eI3B5qfoHqx2hmNfHjkgOPENNbYQDHTuWKbgesXCkGlxr1RS7mW7QaQXigH+k\ng1VTLu0Fbl4Jj49o9/ADGhjyu6khVxrtOW8RDzxIJdjUeZS4kym0zuvEtjsv8UKoRehczNGQtkIN\nDG5p3RrUr7mgprA+uoF8RO6OTD6FZqSzZAtlDpYojxQk80i8CEFLw2tMUa/r11M8OTjPVGJ1yGKC\nDuBSxdPBkZN0HlZL2Og1/mcP08qga0a4Zj2+VfjawmHJoBtwUPkGXhS+ZvCSka6MvGRXjVkKrXnc\nDDE6AeRwaBxdW+G5w09UjTlbT425RIsadFGywGwO0jwwk84acFtkVOe+jPFj8Ua9+foJv+ApcSL6\nIoAvvv0ffP/ry93TQbcqlhLRBOBPQBq8fB+kpvrP6wNJnfx/CuD3jbJXiIj5DRmzAMQNGaj2WyBy\n2QJ3cNISz7dwQtFlInkIXxhoOhdyS+sGTOaKm7K4DvQXLg2bSHcLpLsOOslcaCMZa/b0ciyDc12L\nzpCgXPSfwxEO52a+pTOWM7wpf10adGHXhGsvI/E1TdOvjXd4La2NQj8sRHa0s9cjn0buhuwOD/LZ\n+p05Ozc/z1R4PJLps6mmdr1Gf4YYIAtAF5SmW3RlgS+oHiPzKF0cbHSnC+3k2ej0a1m2VX9ccwOn\nJ+V7PJ0jtnPUeRL4ReZNaenF8ypcea1cOkVsnn6O2HTNPFtFUikkKBVFU6kmWuDU0Rp8r+/pVV9g\nWrk5OoQ7PkR3fOh5Q1mPH+hZUUKrrVHgqaVTiS/q5J6Rtbik8CmMt9scX8A38Z99szb0vce7iKBP\n7CIi/pv4f3tI9k/R34KP+bPZddPTwcwbEf1yAL8f8nj7Hcz8XUT0Tcr/bU/9a//9G35CggRzBoCJ\ngUCIhFKe2WpqWAt4X7ZZdptUW0gbvZfp18moL6ythX2rdiT1n8wAAsuu4Ku41N5o276zawvfwRn1\njNmdW9OAdng+HQd0c73r7pQWyEvHHgCkP3cAQIxg9TX08wj62XH5DNVrofz6me/pjTwEFy+B+pQC\na4+TOqPDJatkQHczBvJGR4I8ZPud+oDGjJrOvFRvV5Hvdvw9v9CAEpMxjIVxHefI0amTKw/ssg5V\nfS8bUEuL74wg1mJcB3xHo55Pel9HiNH6g9w6jxy6PiLzhG44ZcwnRjwlzKet9hxSL1yOXRM4DhLL\nYJkcm/aaCV7GySUntwbwhFI9NawM2nJbLVVptcKqVVG17CxHX/NdGdIAadKgal//h7v6PtzzrBYF\nqUeM9e9n3rA01m0KDGqMkj/S8zjB/Tt6HzT8G7o73K7+dXfEe1TuHu8t1zd9gDU+8vXlXqfjpqfj\ng/5DRMy/+Q2KR8Flt3jvOzeeD6jhQtXQKS9i/5I+kDVjh/yL2b2sVUcPfOSwh/xhEgCqB0QkQS4O\nNrm9LHStIgs14FSvlIA2o6zsDqhmqXhjzMk0Rt+RbllXdIubuRgSKAZF5aExJlo615ekzdyvpboM\nDQi+YTA8gz8oC0Z9EHcxGU2Brf5B/KR8z2s8Ax+CdwcvXjI/d7Rsd2EvdyBfafv1S0BuZDFY48Fo\neLjBuyNP/Fycy1tiY47me7QefkTuiIbub9yPe/xHZbwBMIoJGo0+Fu+tMm+/voA//pXn6fhR/Ccf\nkv0e+oYvP0/HB79+6ht0Mo4bpo3OoR+V6eUdngPJ2e45SNT0uZ79+nPfdO5gf27sz4e93mANnoNE\nfm8ZIWVtBDXGY6lb4eCUWp2G5/RtjU1Lcqunw15mJQ7BpVXCjCKlVRnjdfNuLTe7HdewousBTFuv\nx/dlbJTz9Do8zgP+8GE2wi0V8+T4dpF7zj6ygxvt2MS+FDjf0PHeMPNgxQH90fmODEfCFiJS1EJX\nMd7FU4jYnsT9OnFLCFsuRxRx1aMKnY02OV7DX8b8Rs/zErfu+Vuu+0dofkwHdG+oHBkXj/AeXSMP\nflY6gG/xbsn1ONzvORqjo81HhunxYI3P2PXlHtPxUY2O1y/Mzytl1DPnC8vxgB0TeNqkckB9MdnN\n2Mn7s+0yX7nAKQZsLxPWlxnruwnby4z1ZcL2Tmelr+uEbZux5kmjsCfptZC1p0KYsU3auVLXWF9m\nbO90fpmwvpuRThHTumFeV8w6T4vO24Z52YTOK+a8YdJ53kR+WleVMf0RbdV/YwOtK2Lm6n517nv2\nL55dAKMFi6IcEfBOlg6DH1mPNfyoKcio7es3z7PBDqaOt5exIxEitZnUCCByA4/xi8wRP0CCdIH7\nhsSHwj38rAFxj3aPH4BAUlAMDImfIUZERqYkQZ3kAjo7PCEWeiknv5OLDd0bzWY4G1wMazVM4o7u\n9dLYOC96Ej+EjDb7qk/BHdE8HB/U9zwzLj/04GNeChaMqXOQgM6sc+H7mR6QozEfgGySkku5Tbk0\n7QzdbKm4j/NbWkiywfosXZ8bHe76yz/8Dak8GaBXBl4BvIphQBcAJzM2uJ6H27GEpdZqt9hS/Igh\nbzXbGVutjSuDLlT+jTUGXPOMK59x5ReZ4Qa94EpnXOiMazjjGl90PmOJMl+nMy7bGdf0gms6y8g2\n6poXPmPFCS98xTlf8ZIuOKcrXtIVL9sVp+WKl+WK83LFy3IReB3Qipzgnl946xVYgLgkgLNUbNWo\n9FL1Fe5IZSKlO76H58or68ytbKkCewLyFcivjPwKNxS/APlywNORwMgZknKcWeaLlyVdi5EvAF81\nVTjIbCnFMTg6dfhI7p4MiWcnqjGycztjQLvHf0bHGYHN3MPeUMkdbAb6A2sRuHRwHnmXpH06CT3v\n+UOvVkerrdnJxZHUl8fOJ/xUnAnv9Xu5gDYb46x0+7xNxgyH02CcH6B53Nb1x70j/FHeAzopTLiG\nE5ZwwkIyF9zgjr7SvJdROU8f6YMJp7TgtC04pwXztuCUFpx1Pm0drPOpyK035ebBWp+167p83vCt\nXO+u1+eVEsQTsaqhYK51c5UD+lCUnTvNcO5Di2NA63KeWDI5LOvD0l4vAC7AHDNOLyvevTC2lw3r\ny0Wi2t1YG3wuNIuAX18mbOcZ22mSMU9YpwnbJN4Qyc3XgYg5bJjihnnaMLGMmTZMYcM0bZjmDfNp\nK96Kad3EC7L2tHVAa+GwZjC7rqraaTVPocWHtCA1DIw2UenUOqRZTxYiZGIwMZgymFjxrDRGRgaD\nwW7O6HQ6mTyS5wxmOTsJWWMvsxoKahzYaHDc5h/ynB7sd29KnwfsutYqbLzaCfdA9zSQmwk8BSBl\nDUTM8v3YnsdxkQBHOPoRXoJ2sT+NC4V+X6aVP5KRyrmNEfTMeETnSGZSz99E1WtntMKnmv7sgroL\nfaoev8qnpgFlWQ+ox3/ZwzW+yccvCZ+L0eiPCUusk/NyCMyNbKSEc7hiDhte6Fo8GCX9NMSSyiqe\nCweT41sKrINT4xkRGCAEToisRcdspoQQE2LICHNCLDz1hqhOZIO1KJlbx3hBZ84JC9NtA/PO9eX9\n+h5fafu4URPPXh/3p1uf//OXiPmkXySQ65TJNUVrJv0iWkAlQFpDAhOXnHExNkh6q1haoBagghal\nyoExnRPSGcjnjHROSOcN6RyQzhbjERs8naNW1JNupXYube7kxAFJu5Gm1eWcIyLnoK7A6jKMsC9i\nRkRCJKkKGKcsTaCKS1HhrXUztnSjyUBSr49G/efoahoc4KUGgu/AGtQlngPyJjUT0ubW6PT4msGX\nDFwy+FVnw68H9F7+moElg9esL88MSlRc/QEZpWV74PZo2WIksA/TyFSD+XfH0XTjuJ5aGs8EfiHk\nlwB+CcgvUapSTgEcosxaLIlfYiNX4T3vkH4iQD87XDLoNRUYlwS8ZtAITwlIqnPxOiJHHn81HMLb\n1OsTq7cnKD6EO3yne2cdBJQaDyVt2Dxqc0ebhWYpx9Z7aUdz84hWaqBQP1fLiA/ofrb7cBj/pHRb\np9QFSdwYFx6X5yE7HlWjJKkMGAypMyK9+fSmz3KjU9YWAVmMjhgSpDmU+9kIz+OPygJNafgCk/qg\nyH2+hT7QNfpOhopMJqf4GbnS9vnxSrm+993f8LxSBoJFmE+MMDFoZtCcEU4MOmk/kzODFtZiOAov\nLAVyFkfb8SX9zWRpYSSKWOYTrvO5jumMq6dNerTCZ1zTCcuqRy/phGU747qccb2ccZ26deaWtsxn\nLNOsBzeLP8TBGVecsODMlXfCFWe64jxdcZ6cPHs9J+toJ1xxZuFNvJXmYJwTrNkUZ5SGUTB4FXoj\nkwhgks6tSi/ybh0kB+txF68sR1tbC0PrFAju4FXLzm8er3JlzU2MKY4sxzqxbOygz+oh7PEEqU5f\neI5ueBrxFCZmBOj58kKIrxvCXwbCTIgz6TzGjTbPhHi6p6NNsCbSz4o1m6Z+XvYZ8TKgaYl+j/Pa\n/n0KbmX/V5bGb4TaFVTTtEtLc4972i3eHX1MUA9aKEa94WkOLa/A0cGhgcsaPe5gngJq2TEZ0WDK\nO97R2OmwxqYMZAlcvRtAYxmXnj8EWNo1sXw21btR4ZbGAxoeO5J69vLrpmM+eVmnQ93Pajo8oPVy\nPKC99+/4M95T/1O4Pgmjg4j+LQB/HyQg4U8B+EXM/JeI6AuQXmx/XEW/nZl/2a21PqrR8X9PP/Rp\nHcqQOv9sX05pVx4oI5LCQUfMCJERplzHLJX64pIRFjFUwpIRVsWXLC2eF3lJ8KI7A02fkzXFyzDF\nhBQSMjbkHMGbbmUygTaSqqSREaMYSjFmxJgxxYw5Jswx4RQ3nOOGa9ywxBXXuGKNM87hilNYymzw\nTOuOtpdbcAor5uCOZMKGKYi7MtrnEyRF0M6OfX2AMla0uH2BU0d/ZHRrcYIEiXrYzRjRn6VJuEp5\nzjZ7HHIPO3K8HqfuIa8yftNU1kGLB2I5ylltBibduceoQ+EptHgMKjuidfqT8wYA9YHL7gHNj9CB\ncgTA57rWTs/T1ehoCkAFByt+RB/K2Vpu3VJMSo8ueCLxIs4BaYoy5qi06Gh7/lZgLz9YR+EcCVH7\nkNiYDFeXv+fFA152PORUvRnanyRm1qFGh/cM3Bkkdn8bR9QP5y0YjRI7kx2cDuB8wDuiG+y81Xb/\nFPehwY0HyLsPb/Cod0FSlzVXvSZvvb767aqf2rWtn4in4w8A+BeZORPRvwHgVwP4Vcr7bmZ+sL74\nRzY6vh9/zdM6BEYsRkZGIDlqCPYy1Rd7mPTsb8rlSy5nfWKwZM7QuHlELSJUUhBClqOYQECUEsbv\n6BUv4VIaOTF0Bw9tzLRRLTQUamGiWjk11MqnJke1OJFUTg0FDpFBMTf1A4LHdYTQ0oYyMTf1B3Yy\n5u4dBfTZmYN8+PW82+NGmwf6NwavKH1oyryi6U/T0COQgtKg3oggsYUF15MCW8PWKz1tumdbeUZR\nfaYZbSKN5yOnd0OnX9OecfAzoxSCo23A13XRzffkCGrvArseN6Qw9b1vHoXvyemLbLSz9jvM3Y56\ntNvGeI1+JyyVL8XLGSYGT1kCnZs4DBaZEPT+z6CQEEJECEnjDFx2BYVSPjvZ08GyaViOPONaM2ME\n1vR0B8e1Zs3ELSlP+avqbllhHWvNlJFCY/r3HWUh3YDJYknuyXpaqDS+yveSrwBr8HUZlz2M6w2Z\nA50GB0onWJzJwRh2nfX0XcfZM+R4rVvPd57Fmarh9YbrK9HoyOnDv9aZ+dsc+h0A/qG3rvVRjY4/\niy88rUPEmMKGOCVMnDBhE6/DlBBnLSlsOfvbvtTwXXiVhwu2pBUDoVUtOzffaOQ7vPSgLKOUt2Z/\ndq3BaDzpeXQ3eznZQZB2cSWp1DgHWOltC1wrOoHqUQirIcUtbTQ3cv3c0XIOLW1h8JKRrxl8FZiv\nLPjS4ypzzciLzDt5XScvucDMGTnJDGbxEEwywqSeAsWjxQPpA5gOZEa0HV9hYlSPi2VibAPaQCY/\nquc8PMgofXvM0DgaO/50Q2bAKzIR1WCAg0e0I/iID6hFhbpLZVQPiHrrKIgB3gfsUGCkEEAhI1BE\noIBMGYECIiUxKOBSdeFSdR2NQRqQKJuYklK7qvGwHsN1TsWr2vNI+wZZXyEs+rtOz4+j7rm3hhkq\nTZl7MxIuMjCCr8d01kD8Ecz6b3CGGrGshiy7eBsqMTp9rA5K+X/q5Lt56nRms9zfeP3y99D9tK5P\nPqbjFwP4XQ7/0UT0nQD+EoB/iZn/h1vKH9Xo+NP89U/rBM7SOzCsmOcNc1gx5U3gvGJOOucNc1Je\nXjEnpanM5GSMnlME5xWcSbqS5gzOuZYvt6OB/mjhFu7h/KBcgnRkPJFkNJwIfNIshobmYNZSzlG9\nL4HAUTMaTO7c6c4Kn6k0xkp66rybOdYH8oHMIY3H8rgk0GsCXTaZX2XG6wa6KH7p6E7O9Hb01w2Y\nN1BMINpAOUn/lZzkcy3dLlH60OClg7VfDdns4HACwouO836OLzrO8jfP7oGcL5oqrDMbbrDjs8mN\naNe6br6KgZITwAsQVoBWDch0sRFhqnEXxruH0wNytYQ+9q78EUx4/wqqAKQxGmvcjM/5LbVMkZkR\nOCNxEO8mB2QmRBbvRWbSuYNzQFajWnDSNu0ZIbMc8dpI7OqGsKsDwtWLscqxrTdKwuqOdldt6mYx\nTWZ02HPhlvfiQS/ILa+JGdrW0bkE05tR4fG+HYA922zTpH8rDu7fmasMw/09N/l7iQFt53b+L9kD\nH4j21usr0ei4HLzWv+NLwB/60qEaEX0bgB8xYP0aZv59KvNrASzM/DuV930AvpaZ/wIR/R0A/gsi\n+vHM/P2H/87HLIP+B//gT3pej1G/4M3gA/oj/JZHHa+kofUeip52ND8rwxBDwAwCMxK80XBuDQkv\n3xgY53DMnyvOESVY1FI32FI4MkoAaD3LoHruW+R6GZSA0ipfedjsIZsVzhoYqobeypKRck9Gd4rY\nsnaazRpQ2ukmbtva25g7fELbrt7kR7Q7ayDjsBHXsPnWI028tjs8oETr2wO+mT1/RLun0/EBtEXT\n6JPHeVJvnaZ5m6ePDb/FK95B5c00WE9wgxFRjj1Q+qNA5rXiO551Um76qsc8fQAAIABJREFUqni9\nAU/XQ9CNh/28WvcGs8Fu939C/d1mp2e/o3V17TNzOr3aYZi1I7H8/LSw6zIsPFqNprPX05kW1jUP\n9Fc5Ei2xVx7u51u8J3Tew/L4wt+4fuWVQccfffAX/vH0VBl0IvqFAH4JgL+bmS8HMv8dgH+Wmf/n\no3U+qqfjp/zJP/y8EmMXoMi9p2AwuKcN5HnAyxY8idv36r0/VdEdyO3WJainQ2acuOIn47GcVzpD\nQgoLEehMCEqnUy5ek9jI64PIdAPazq6bwx2t6fbayx7pJ67n1Y62O1LyrvZm6IcWUAqOHcUGePo+\net3ekHVYXESzmx7gbZEvrsbYWuVppM9QLwua4Lu7s/2+dnwxP6ibxeORsjzMc9I4F4cX2PFHvOR5\ntsZgPaDGvVjxtKBzPICtENuhbBivCZWjifUYwdzybjyD97wjekQbr9TP7sjrXhn/W7TmCC3uNx35\nHNoNydm8nBIPlqPzegYCT9Xbmc9+vVBw/29IrJEZRlBDH42xhO0JvDGssJOBGmQlG2pDAzdZVlub\nUWUZak3GldMRI75mujFzLQ/wWbq2D78kEf0sAP88gJ/uDQ4i+mEA/gIzJyL6egDfAOBP31rroxod\nb6q0kvWeYbVaobh96V0HUL8DHOGHvI7e/DvdfATfkis0PpAjgE7yMKUTg066y9bdCll9kZkKLHVH\nKh5MvugO8Nnhdi6fUSu4MmoBoQLLD94UHnLxLqR8WcfWZAejRuVHaOAfFVdsncUQssBAoTtakIdy\ni0Mi1hu8yiHIfWJdgktAZwJKt2B9efe0OrNkJ3W6jYx1czW3s/8j6+9d3M5HxtM9/IaMZe/kpMG0\nNhTPHd7zR/jRWkl/vybWxWJcbs19bEw3Z4f3RwClRPgjoz+e6YdtYhLqkcZoAHvDQg2Eo46vDb7t\n9W/xsAF5JqSXgPQSpUfTSxT4JRZ6Ujg7eCSTt4CUIlKWOkAJWrQrRuRJ6wYhyneNSO9Nqs9Zgy1a\nWTcDzBBPp20aCt94Du55LIZHvCTEq4ywpAaPV8HDtadtDR46ncn0lrqG8axI5Gfm+gSMDgD/LuQN\n/m0kOzdLjf3pAH4DEa2Qv/Y3MfNfvLXQRzU6tq99PoxYenEQ8kZ1TiQPWaXt+M/SEhp+eZGwHbWM\n5yGPH5Bxc8h6Tq0pujRB0gqhXgIAYCBsAKKcqcOdv5fxAN6kJuqLnq3ddzM088Zn37iRPT7d4buB\ngBIECBcQSAENDqVRYM1GOOCN6NHh0B2WHmuU0vcFRrMrsxRfUm9GU9WxvBzY6dW1LUVY4mtc8bTQ\n4pbVdCTDQQIa9zKDtUJAJgLWrLU4ci2ctmYpOLJKAG7lMaB4pTu5LUvNmlXSzEd6YC6BuX40tLnG\ngsSe1sse6NuxFSbU7LCSJTag7WSOeNjJ5U4GgB7hoR6n6I68OWKxoxGDDTdvwS3doHrQZ0CAHilV\ni52YkLI8j0JixI2lAN+akUPWip9Je9REjWXRGJUkxQjzqsX7Vi1MuATkaxDDhmItUmiFDG0t0iyf\nGEsvnEQap7XT8XSVc7DJUgLmy1rHdcV83Qp+MpqTOTX4hvmqck6WLiviZUW4bk6fMV9STX//rFzr\nfZFnL2b+hgP67wHwe55Z66MaHZefEBpPl208buMkNzVrA6hmrhZ75qAyCquOBTaabHZreb6Xo42l\n26R2powaiT6kFbyTW5PUBmnwg7U25wJ0M3W4n8tzybrkerrJ9ToO5kBIp1gqqfqxnSPSKVTaOWI7\naT0DrzPXSqzbqeOp/ubWD8iYSi0DP+ebtGnES/rZORkrixyZJWU65+HRG6U9rRgUN47sirFy48gu\nhYB1nrGeZqzzjGWesZ5OAgelT1PHH8A6t/Cpodta8uD2D/Eb8HXFdEtuua07X1aEnErRLu+R8J6J\nhn/gvXhGJk+EHF0tjVhrbORC87U39rShXAyy8+94OQT5fl7lexwX/T4PaHFJWgtIv9PXTr6jmVy4\nOp0lgyiDZwZOSQwt9XQ2WRwutqNkuEX9WmcSj8oinghJU1fZ18EaE7BE1zOFuh4qNLc9WajrvUIn\nLCEi04TV8Xv5si5OYABnWnCKUtzwlFecshUtXHCiq9QdiosUP5yvOJ0XnM8LTi9XnJcF5+uC03XB\nebnKfF2Qr1fkJYCXgHBlhGvGtCSpOP1ZMzrSfZFP8/qoRse//+5mobLDK0Jrblh+hBYK29NTI6Pm\nidTqsAqBLLQzMgJvCJ1MhAaX+mj00n1S4XRAV3na2HWyrLI0iHS3NF07n+/P62/SR3KPyKiLPHAG\nEiTKnjNy2mRXtAR5yGvVRjsnNtx4bPDc0q3SI0+tDhHr34a7aowMOqAHziCDPc/JkvG4lSPmxgvx\naBGzHT09rh8CY5oT6ATEOWOaN6R5keJTJ1eEymAdm+f7cVJeRyvwFGpLdjV8J4MbehJDjaXIXZyT\nlNcPCp8T4lc5WWsL3xvSGyMktMcQfVzLLdjHxjwib7E4Wm8GUep0xEjIMUmfHyu7b/Ak2Vkca++f\nHPV+9HI9PWpMRAzgCPFCZr3XstxPYYRTLvVDwouXy1oEbLxGXZtLn5pyFAmgEB/9bA22e/ZyRxbA\nOVyRaMIWYpk3mpB03rRviqclisfy2rdlT5MZTIh5w5QTpry5wmtCa3ghYTonxHnD9C5hSluRbXVa\n2K9RjoU/S9cnc7zywa6Pa3Skf/ppnYiMF77gjCte+CLdWB38ggvOrHihC3x2Mi8qMyHhzIujXwRX\nmTNfEDmNX9iQow8wXJEdbl/wPNDTQQlo6nLr8NX7hgFpj/AcjR5YgzIjkhRee+Scmx89U7933n40\nBny6Jf/IsAewGxI8THc9Gvsg42OdJmg5AGFKCFPC6ShYMep90wUwHtZbmJ381Mm72JxmjGg9D6pP\nuuYtvSP6kVF79H141CjueCEwQAnR/33jB7g/bq1zK/j0KCD1GfmeZt/DkRft0Dv3AP/GWhMlTJRw\n7g2TW7Eu78MnuGJu7vM/wi2ouqfd0/O4/VyflWuYV/Llc31Uo+NbvvvXPa1DYJBWJJWS5y1OVgrd\n8GAwK9/0hEYFztiI8FfojFc6IYSvKrK0seTQXxm0VBylb0tWnhsqi2VMb/X3a5TAzP74hCt8l4YH\n5eyIpfusWT7wHa/AdKBjMB3QDTA3uhZ6KnhPcw+MoXxodYc0xXOJSQlNrEkmjeR/18WhUCfnK8j2\nsStUY2KMB4LegwzSYlXNrHDl54ZOxHqP93q56nk+cXmJ+LiUwyOhR+h2r6QDWTNYek+Hf5mP+O8z\nm4E+MEh6WoOrl+pQxtEbGqN2oT4N4J42oNORHoBS5Tc6ffd70sAIo8HvfiR7l94bhP18j9bzH10H\neD9DcTS80UgD+vtcX/ee+p/G9bmno14/9688FW8iF0GCpKy0uAZ6Wenx7GlaZnwnP6LpGkbbKIBJ\ngp2wMujC0lnzVWa6sHbxdPhrLnJF9qr4q8pfGPRK2qXTeABdSKoAvrIU59EHrJW4LqWwR7QOfwvd\nPttdx0YzOkb0R2R6er/70WC5/iFB3QOjl6Fb8gO+jaYoWpldW/lTR5uMJ2mG0l7ewd0s+pVGxKV4\nFbEdD7G40/X4hxpYXe12lNTo1mMn8bRLpdXS0NToagSYcWfGZ+OdcN4vM07YGSk+IJZXtAaMyhYZ\nRrOrbEuR26Dy0B/z7+nXdTjaz8ElCw0+C62jSZO6Fi/yCbBg4EOdVT+ro0JyrphcoQ8Kz7HBi872\nN/AWuTOoywuSALZ7vI/N6nCycLBu41GyS+CMSAzWK5k11HhHa1YOdbjxaedJZScva8KtSaVPi6Sa\nc30mwGj2w6Iei2To88vJk5NX+j59nVvaZ+n63Oio1//3Y949rUP+wbmz2BmUE+KId8Nte28HwBuk\nfO/CUjlyYfACLd0tD6dcYK6yyvM0vgLZeH6thZE3gJnBgHS5pjoTo/YrMtjLoHnnlpkwWEPly3r2\nJfWeBnPVuwA+GtD7oL9e52gtRNSCPY+Okfz2uD4YwJxBJwLNWVKMrZS3wZaWrHDUuZQELzCV1OOS\nuqyBeU06MuTfLWnFlj6c0aUm856WW1qTvlxmAF63/36YjN+xP4nTPVkzJq33iRah8kGOtY08SnEr\nj5f6KzdkGtyKWF0BunKplCllvMVwr7jSirzSFpW7kspzo1NoVzW6TjeGeS3siMQMBnuR+5gV+9w2\n+RlxBfA6WLPble/el72b8egyY+MhUc3mseJpSoPRxdfsYNNxsO5q9rIqQxUG5P6yyrKk97b/PpCm\n6Pd8GvKP9cp35LN2fW501Ct+Z35axx68Td0Ei1s4oBc4A7X2wmNrkHvZZf8Syx2eUCvrJSefOx2W\nXQvPMufzWGdUjZE6I+Hh8YAOgu78p6DVGakEf5YCQ8pr6JN4BbLqDGVm2snzRNIWPbHsNFM7KPW0\nLPM24gn/7lqZtZEetIS3wFLKew9b2nKVq/RbulIinKWYlb2gR+fp6QbtWdjPuy/NA7RHZI5o5QXL\nIE1fJ/UUkPbSaOMXGDTJi01mLo3pPE1mlEZ1tV8QmuMdq2xJ3ktjVUAVLl6ZVb/fXA1tzJBjqWgG\nKIAX1DRq83Q8ErNhn4X9zT28QM7XH40H8Z/1+/x9jqyNET1CHjy2MQgkRcoCdO7waEeNLX6kkxsZ\ngDkgp4C0ReQUwCkgK5y2CtdZUn9lVvoWkHNHO5JN0ivqrdfPf7Pmp3h9AimzH/L6qEbHD/6PXt+m\n6HdbtoPtzg2PvBejwM1bwWts7jxCE7RWWiaPAtFGMu4B52l8Q393fHAk0x8pHMgerkHyMNimCTxF\nbNOEbZ5kLiNinXqa0G/jk+jNe7plHEkGkaa3SjJzyTyKjt7LDOklY2m8nhxXcN0JlaMOg+suycv1\nOmTeCUc3uOn9bu5637fiOqB5HHpPjuSOaAbbA2b0t74HP0obwLQpzbuxO5d38Yg8O8p5oKeh7vTt\nPIEH9BHNzTSi+4Bcz7vx/SmweTa8h+OezhHvlmF4z2h8q6wahdDmklQClskFL1c+JgZFAk0Enrhs\nWFgNyBYGwkTS8HESg2ZjwpYmXNcXXJYXLOsZl+WM6/qC6/Kyh5cXXNczLovQrssZl9XBy4vKn8t6\nvUzmtwd2/Pxf8mbVT+8abUS+jK6PanSE6Q2uLoZ8Ic29aw8HdrR+fpbX04DdQ2//YN3LDB+UR3T7\nKPTfTRSQg9USkDTTNEeXchqQSmqq1hKYq2zW9Mlc6G6t2a0xRfFKENXffVeRFGOenfNnaD2MhHNx\n+d9fi/oA3xIU3M3BBwHzgazCYaxPJDETUogN1Q2r+D26VWGtRx4O9rLsdLxROwqse4YWUKP2zwC+\n6oaOf2m9D+xpt2T8/XvnhU83eDuafffs2MjzSmwIKUwuHsTDgpfmY07Gx46w2+FzJ1eCEPUqBwPk\nv9Y9jQ119GNapXONseLByE/Qj2Rv8EjPYokYDIZUD2XdgJEcN5c/Cwk9AqVf04Z6zDa5v8tknykp\nXeQyArbtim37q9jShG2bZM4TNkzYwoRtmpEMnlXG5LYJ2zZ3+NSutXn63Hg6yN1Sj+DAN+Mr7vr8\neKVef/FH/bXPK5WdKOpDfoTnSm/Oyw9k7Ty8la3z3d3TPf6Ilw/4BORTxMYTVpqwxQlrUA/BScZ6\nnrCdJ6wnnc8TttNc4R3P4LnqnyI21WMCpmXDfN0wXTfMi80rpp6WWny6rgIvqdEp/IN1i/ene+j3\nKW5c8D2fG7zlNwGJtotMtwa3gXB3+F6Oj2SA+tKz3y+gVGStvMovPONPx7oFj24NfbuXl5y+6W0e\n0apDwV6eexpRxzOaf5GNjPsjg/+ezA15iR0hbWbmYBcfUuJJSvMzDBqheV1Pp7ZB2mQfq3umqBHl\nnxX2EZdnFBysfP/MqvJCA6h5Dt31yr4v3tOCGh7FM8r1XrTbx46LTLf31DwzbM3eEDqCgXqvZ8hR\n2OgeuQW3VsST1ze/j/Knc32eMluvf/sf/mee1gnMmLYV87Zh3lZM24ZJ4dnBLU3l07bTHetVuWlb\nEVxvkYd3FN6geES2+0IETpjAMvOKE2opLPGCSHnsAocgJZC1MFKyAkkpSOnjLCNZq24dUpU16L+p\nRdS4dtmNpXhZrm25FymJHS5ZqiheZQ5Lh18cfG1hXCEu15IZosNiS4zmeI1cj5fMkQOdWc6ScWXg\nylIm/MpjfMngq8e5xRNLG+4jfYdzCEinCfkckXXu8TwJnM4R+eTohXaMZ63wms+T6M5RiiJtUjxp\nSgkxbZg8vsk8pQ0xJfkOpdTBx7QeD9aApb+ve2P6A9Jpgxh4C0CvBIumZv+SpM6A6448C49GfGcM\ndl6ekimlVgP1fJ+JEXqvKDt9dPpuvd476ucj+Ig23eD38Mh7ZmMZ0EdeuSOZEdwbFLfuhffBe/it\n1z/4nvqfxvW5p6Ne/9fX//VP6wTOxTCYkxodyRkMvWGRnBGROuMiOYMjVSNkMjldN6SsAYyo3VTL\nQAlu9DRyQYxFb+touerAd2bNDDozwimBzhnxhKYzLJ91N2c0nWFdI5U2khE6lc6zpgdCbTndzCzR\n+wMenIy1qi5trTfUKHPW3TLJLqpku1jHXOt0eaam+2U+a/qp8bTL5hgmsOIert01A3IE8MrgVwZe\nM7jADH7NY97E4ChPRs4MbBlMBrP0J7m06/ArpMz0KyNHQnoXkN5NSO8m5G1GyjMSzUhxQuIZiSak\naUY+zSo3I73MMhuuIzd4y0vvJuTzJPf+uopBvSpchhraCp88bzuSrevldZNS2itAq/Z1efaI/H0f\n/IB4O9RgZz3mslbmyBA3v+cV2QdmHtAZcmwwkZuDHh3QnmfHCAc8LjER/ZpqHE8ERJaUa2BY24XU\ngNnXcKlw+c6NZAa8El9ksUgeNgNh7egj2Vuwxy3+pb83PjSthz9L1+dGR73+uT/6W5/WseZMfZ2N\nTF2dDn157ehOfqOIhaabMkwEWrntcHjNtbth6WCYOxmhtV0OBzJrrj0dbL2FgZm1nwJreiaXtE1z\nFcPSDRv8mHdTzx09WJaP7UZot0PhAU3lWHeaJ0g2wAkSf9BlBiFDU1MZ4ZTB2gWX54xgLm81itjD\np+r+PuarjAWyBQAlpY/12ckFfx5+VBbIYGRkMDaFGYyEjA1ZQ2UZERmTzgJnimBMTqbCVXZq9A2O\nIWGKGyZIdckYN0xTwnRSz4Z6KwqsnpDqyeg8HY18lQmWMWRxJEcD78kfyGTNjslu9PgRrdBTR1tv\n6CYCn6V7K79E5LPOHVxkYkSODh/qTru1vBwFxmRB0y542tMamBMith294Hyg59Zugpq9kdAFPNPS\n8S0DZ8G+OJf9/bxnN2McrPusYfGMPA34n4Xrc6OjXj/2+r8/rcNEElAUtc5/mLDFWtNf6C2cOnqO\nE3IIh/IC69phQtgY8bJhumyYLgnTq4OVHh3c0K8Knx1tTpimDVNMYJI7ghhyjJOyvPTti1sOgVED\nMZPj2TdIeaW6oAV5+nQ8hZvy2r6uwMitPXJzE9q4i0f0BoMnkmDYuQbJFtwCYGcNlJ09rvK93Bw7\nvYAUohw9Sf6JVPyMGWFKoDlrvwvp50KUEGIGTRk0Z4RzBr0k0CUjvMugqxR9o6sdLSnv4umpkUFg\n8CmBzww+ZfB5A04BfA5SYOwsxccKbdIuvxyAHMCrdI9lJnAKwBLAlwD+K0E9RKFdbyY5hMtcjssC\n59rvo8BGH8iBpUovtFrvJIZho+d6hzR/11vBi73MM7L9WLEr6MVqiPBa4bzqWLp5APN6zMsZ4HcM\nXhm8yfFa5gwGSd0J9Wxgtq8rl67IITJ4zqBTBp/lXsrvMsK7BH4X3QjgdxFZ8RC4ZmRZw8Mb+MQ+\niyuX4G7rSeX/dhKbwvXvZ8+QPngY3d/CbTbYpyd778W1GzdonNAWfStxXFSeL+PgYJQg1Z1MuM1/\nn+ur3k/907k+T5l111e/QYfkpmI9k/Xt1tu239KYKIVqPGxBAzIdbXU8wxNFrNDoaUwgMGZtzZzD\npk2hAnjaZFedCJwDKBOICfKfxPSRnhNLzjqDI2udgiAvvZlAZ0I4A+EFiBcgLjiuCRBv8J6V9fze\nRf6oi/I95FIMWKd5N5Y4a6rtjGWascap5RsctUOrp0e3VpywxBlrmLHRjEQBc1gxTxvm04oZq+Bx\nxXxacXrRrqrLprOO1cHL5vANk5M77WSlmihiAse0q4HQjBI46x6MVu1zgxSP6h6kh/oupoCAgeeA\n29iBnQyP4wpKTAO38hZYaPUsuuqlzWzwEf8ez2pnWD0bHUFfhAW3ujkZpfaN1dEp9Hu41ytvXbhf\nuAvm8IEcQ3fNo7JCkz9FLinddc4dzs/JQY5wCx3SiI6A1jC43MAvcIXXZPCB3M01GeAXAr/oPJNW\nbnW0BpYZ5z2t4Rs8kHv6ONBdX5FGx+cps+56o9UZKYHAiJww51WOQ0ASHJmDHpOEclySXeDljm4j\nHNCJQAkSJFkGt7gGVwbrJpt1l0hZikjN1vHUaBlhZoRzRnjJu7WxYpfBUeCj2cN+h2K7E4O3Tt6v\n8+hF90UekY05A3lFTBnzukqrcguGDQEpqpciqhFpQbIh6hycjvJ7PeNrr5Wof5+YpNV9zBkhJZ0z\nYpZjg8gZISTEU0aIOns9W8fkm3Vsrhkg5bMoKQ093WA+oB/Q/N/aZ8wYzc8j2oc6O793EepR3ruO\n/uTFgBgYCRI7pFVp44ZSodYa77GV8X4UPtAFQyuPZuBEWoGUgHNqcYuROqGT03mGZhgBSKSVSkmN\nS9LqpKJvZc+b7BfFh3Qc0Bt5g/d8MJCvQLoO5uVx3kjuSBdQQ5FlwxaYtGAhgQIhRNI6IEBIBEok\nmzsQAlQ2EEKgUi+EJkKw6sEnQjgT6IVALwC9I/lcP0vX59kr9Xo9v7xd2T2sAqX6zvQPMXML6m7M\nghl3ch3sc+4B1CI/KyQY1Ll1ffXDEttQjiG4vNTJR5BbMKULqJS1uO7m+k3QrZoJhGpUAPXMdCR7\nZx0mqpH/BNSSpke40NqiTx0eWpxdIxkJdlM3ck44ZS5pePWF7Xbm9rl2/HbX7l729vc03tEm9NYI\nKBUiny1upZ729kXNBB4dW42OoJhu8svpmq5bXeGWGo72OAMd3s2+DPvDM0HvZ249aKM53uGP5Ec8\n59on7yEZDX8McEPmJp5Qi2PZ73nLo2g0O7b01UlHlUn7NW5sBMa2Ht1i3rQP6+1F2K6QsaDCR2M5\nkuVj2W6w/qqRdWQgZkJIhJggYwPiRogrIS5uvgLxSogXQngnc3wlxBcd74B4rnh4J/P7eDrww99D\n99O6Po/pqNcf+bof90ZNjejWJ6y85+Sr09BQacd8jeLGDf1NPBuWqRG0G2xwXWPDwlIOm1z1ysy6\n21W35saa4eF1dW2/5sLjlxg+ORpHakqa5zmUsujZyqN7fK7lzrMrdZ6tJLpbp5Wta9PGmo7LoFU9\nRVsGrZXe47RmhJXFu7QxaFN8sE5YlW/rJK5BtRbPYmNCDbR1vEZuGtDiHdkwuBvZaDJ7uNLKndvc\nmTtat5Zdvi6En+F3xGVnrNp+HugW+08rrjYzo67lRqk/0fFamKvRcx3J8F730TLxz+C35Kwexb2B\nB+UekY2otUPKvUdtLxuPT+T611BzTx/KTSi1STAB+QLwBcgXBl8AugDxFQgXxnwxvvDyq8LXqsev\nXOELI+u/kQPAYKkVmAFOXDxJtDHCRWZ6BYKWwg8zxGuhcWg0HfMe0pmE574mz1+/6T10P63rE4jp\nIKJ/FcDfD/lW/nkAv5CZ/5zyfjWAXwz51vxKZv4Dt9b6qEbH9Qe/7Z/j/q6hAQ0oD+ab+nQsa7Sw\nudoUiwQYGixzqjyjXXVeO92BjudZ23su3gGLWTEPAZUMHmudzk6myBOU7+TVi8FOBi4mhrWCIGva\nXta5ZIHEbp5IeikY7YZskbN/I0jVw8AkRsFK2vyOQEsGLwTWmZZcmuOFBcCSJaByyQhX0gh6mcNC\nyAsDVwJU3rIQQkJpGrZrrmWFohxuMPe0uaOP5E0mUq2pEtwxXg+XmYa8h3RVvwSHWpCsBZFaIGgz\nK33HU0PZ4Ue6xWDQlwpQDQZmgDIBzBKDUTwxfhb+kSeFmFAb3TmeS2lF1u+uHi+yeaeyl6UGb/Vt\nXdq3uffD1ZcoWV4dv6lGuwFNhdqdvuG8081RAqLTKZZg63SKhSa48RXuZRzcyLg18ikUubBmNex1\nbDJT1qPhKUmAdcgIswTFysbA6axpt86ss2wKUqGTbcoIZQ5uI2nmegvLHEwHkJgUS+GnVk4ec63p\n/5m6PpmYjn+TmX8dABDRrwDw6wH8U0T04wD8owB+HICvAfDfENGPYeZ8tNBHNTr+5u2Pv0GLkBCQ\nqHTYqDMFWDeObAlhZHClZaJKY5GpnT5UzukRMaZJ08tCQpwS4klTC7ekBZe06JLRdI6pxacOj1sC\n60wJYD2myYGQY2wKfTXFvwocd/xSGMzFSBSai3XwOgzIiyRxKQwmQ19KPc1g1YlJHyTX0Rr60urW\nwMbqGufavMuOrwzeUFqPk4N72X4tD7PyU8JhUC31tDjm0YPBvKYjpeilDsc2TyXwdZsmrPPc9LNZ\npxnrfB/udft1Sm2aUmujwpOrvTGCp3Ur9TmmVevVrKrv4LiJzrRK/MswuLWLOSpHMA/IwtKtD2Sl\nknU9tuMOFmPcw/q6URhAMcYNLmnVg7UBlLo0Miu8otSpafhrK4vVXooo9XBqnRsAKxV54yeOuOAF\n1+2Ma9aeJK8vuIQXXMIZV5tJ5kt4OaDJfCHREbzKiM4LruGEOa44TQvmacEprjIXvIXnacHpvGKO\ne/nCnxbMXm9aG96Ebf9M8fB2QE/qzTzQjZvGVCmdEyNaivdnze74BI5XmPn7HfqDAPw/Cv8cAL+L\nmVcAf4aIvhvANwL4H4/W+qhGxw/53u+/L9RdGYREmm1CkiqbmpnVLzyaAAAgAElEQVQlO4UIJFFG\n6iEI4CAZKImmRk/kJ6XHSifJcqEAMWs0CDTOGihogYSsgYS5o2cNSPT4QC7q7tFkyu5Rd3TcnNV3\nOOtuzWib7OzL05NRdqey86S6q9OdKJhcY7OsKXW6k+1xzrLLsCh4nR+mhyy9VKYsd1uCeAislLi5\nso/G5mQHdD9263X1JGqMyGAYndWAsYqMN+R3/XgICIExxQyKG8LEiDFjjgkpRqS4IE1iGKYpIkVJ\n1U5+TBXeBrSenkOotWu5naWxXkuPBU9OLut3LWCbJuQYsL5MuGoq5mjtdrdqh0Zuh0rc8OBpzOJa\nf2oNgIlB6rGzYldsfUP071tjcNh5DrkYJX38kcUbcYcD1VPCGRIEmvUnnCAew5N+P5N5VMxrYnok\n92VPczxPS3nCyhM2nrHxJG0ROCIzgzhh4gXnnBF5w4kveMd/VWVmbDyLbp6bNdayVqWvufInbIi8\nYWLN3ePxEJlV8eRonj7QyxumoHjeJCnAMms0BTtk1n5GNeOGckfPIr+nqaExoJs36TN3fUIxHUT0\nrwP4xyG5dd+o5B+J1sD4HojH4/D6qEbH6bufNzkzAVtgzYGHRIJr6+QcAigGUIhAjOAwgeOEHGQk\nq8MRJ2xBUipLqmzDi5JKG+WLzkTavtw9CAcn783gAW03zN3X0gNrMbLLhqkUFkuYLnIkE63+h/J2\nMtcWLjSTvUpdkbjkwgs513gEOx7wo6edWIt7PSA71MfOZd26m1vezjV9QD+EDX+mRPM9+AHZwOKW\nnrG2xoy9yMzyGfDu0lBfnJ6WzwFZi+OlAsuczsHxw44/0tlOAek8Vdo5IJ2o8BFQ3OVx4wp3bvro\n3PU9Pzp64W1H6/jDUK7GI4AmO6jQ8N40DnLc2MY2BeQJDnZxSyeP7+OfSuPGLm7Kw8RcdvSkc9yu\nmLdXfHVy8UrmEbC4Jo8nR/e4rev1k252/O9vKPGeaEGx/ecHd4zRrbWj+eO2frj+M7uu4Uc6Rzzu\n4M/SdRTT8X1fAv6PLx2qEdG3AfgRA9avYebfx8y/FsCvJaJfBeC3APhFB0vd/MQfMjqI6GfpPxIB\n/HZm/paO/wsA/AuQ2+v7AfxSZv5f+3X+/H/wyL/W/+MATwl5YnBM4GkFRwLFgGkKiBPhpHU0pJ4G\ngUtdjaCxBaHQsufHPS7xCHpeHoMeezjczuwLjcDuGCQHuimby/FHLGtzIExzwkSbHOO829qqkFYx\n0vppODxtG6YUEDdCToRJjxdyYj26ycAWpAjZBiQrz57Zf8RyHd0q7nnCt2StpsLRGvqCHnk49s3W\nHqAdeUGMlvfPTvD4923k/POzf/YeyQE1Sv7Gi42aH2DPb9ZuPnD373cvWrrKC4UvhCnUGBpW47yF\ncUC3caRf6SDUcvel9H0/MKbnGzyv69YtLyp08/vAd/gE1kDErC3as5YuRxfnBFfOHK69u3pEfLv3\neIM3iZeytEVI8hkgSXxIabngYKv42+gojL71guqhtGLQ9QfHXHfHM/K9rBkvjxgTH0rus3ZdD+g/\n9Isy7PrO39CwmfnvefBf+J0A/iuFvxfA1zrej1La4XXX6CCiCODfA/AzdbE/TETfyszf5cT+NICf\nxsx/SQ2U/xjA39mv9fpf3vvXRj8AS0nwKUt08owaqTwfzLd4I5mOn6cgFUqnCWmK2Kaos+IxIk0T\ntp4XY5Hfpiielim6NVQntuulGFDLGidxeUJjSWLCdEriyoQri8ybRbEgcJ0JWdyTOvtzFYsmZ6jL\nV+Mj2OIrfEGnrsATbQD3/AM9XqtOs05xNaO6lp13osC35Doeew9Hz2MAlhIcKmwvTmv0JTDVBmCx\npYG8TqVVHaprAfd3e73hMdJ5ApddIZfdIWn/EUoaA5PlyK3hNTojWpXd0YBauCygaznfwUHwMVzX\nQARyDC3dVZf0O18yt7nB+qIRb5j7XVL7e7UeM3ZrcuNJszXN2zlM5z3Cj9J/H+HprfHwDv59cUbN\n3Bp5K/0gVCOizwR71Ptp7ReOfpZ78Ft0vDH5Wbk+geMVIvoGZv6Tiv4cAN+p8LcC+J1E9Jshxyrf\nAOAP3VrrEU/HNwL4bmb+M/qP/279R4vRwczf7uS/A2Lt7K4f+obO9iDUct6uxHeB1VjYyTxLdzBF\nlh4WlDUgjZBBWomUXDYIld4tntbyHqP3RzHh1nENl59II7+Pj3nCEc9e1vdSEG/ByRkWj+gESHDh\nQRE0Oh3zeEAb7aa449dCYXX0tKQVbW/JjGlxR5Pjk+OnHJX/4aZcqzMwUtzVZ0SFRY8odhlUA7zP\ntlrv6wDQbr4B+aRN+nQuTfsMn+VYpuCnVi+fSJrz3eFbGjUtdpzDkrpu6dQLS6bEPf6qhf7WFicn\nF1Y5hvggu3/X8XbozfID2L84e/6tW8bfeuRwg+2F7+G+Z8qN++zm1f8uIy9EcrL27/j6JPe8Uu8j\n81m6Ppky6L+JiH4s5K/4pwD8UgBg5j9GRP8ZgD8Gecr/Mma++ak/YnR8DYA/5/DvAfCTb8j/k6iu\nl+Z695YyHaQuS8s3N9fk7FydlqO+g52Oz113NPTuzln/2bLTc+7esouqO0TpR5Grq9PL8V6nX7Ps\nrPyXvj/Tf5b3CJ/RxiQczQb7h1ns1o8qN99eq7iSZ3VHz6172fDyNzL+7m9d/547GeNbii+oGo4U\ndFZzjCo/G66yVvX2SLfKySyfBTe1JvoHcV/TQj7XvdxYbyCnrmNauR0bS/aEG9hYM364dD9GqrRd\n/Yo+hqVzV1NGLXhmlzl6CKVlPEWAAqvngkETgSeuTQ1PBJ4ZOBHoxKAzgXVu8Em8NuJ9gKwVFA+Q\nAnwBLvbL4dpGnlw7eV863n7m5vLVe0eGxS346EV+9GIfGR2jF/aj9Gdk+0yseUC7RX9W145Y+nGr\niN+jvKMK85+16xMInmXmn3uD9xsB/MZH13rE6HjYViSinwEpEvJTR/xvdjfAF78AfPFHP/CPu4Cu\nMjQWw9NSgTvZjp4GNFmv0ojRBLlZYaqwC4TjTibXwlVGs6yVoazuuGxX9ZYy6H1p80c8AvblHO2i\nHhmPyA5kOFItVT65suWWAhyDNHvr4BIDozrJ0n+nykv6N0wu7ZgD7VKAY5P66+g5u5Q8yTgyecpO\nr9ONXXowWbfeB7JtnpI55HXHBGqMNMcozHuar4Phj1l2NLRHGGogE0tsQNRqm9LCHWrwA5jIwSjx\nEHu416XmhVVwfwxiRyt9Z2TFfdfk4tFL7gilgd1naLC9rPrvmDcmeviWgT8yNkawGZKjv/s2oD3D\nP4KfjdW4JfNsbMjRUdP0JO0e/BEvIvoigC9+3H+1u34AVCTtA0W+FuLtaC4i+lsB/CcAfhYz/4XR\nQj/7X/mJDf4dj/yE+qUu58AHY8/nej480jG3/Y6nO8A1S1Gq1SqTSrdSClkbYOkTQr0c0OCtpkqS\nPexLvQned2hcIDeJ3xmwzkHf3+ZNuLfTKA/qA55fw9yrfDzTHf6zOkSMEBgISeGMHDIm63/DcoSV\nOUhr8U0Cc5lqgC6XYlr36Qwqufwlkj/VzABKNZK/hZ1sqRvANUsgVd2Gv+X6UjwIcL3He5huLw1z\nkfsXoQ4a0ECQHf90QB+9WIPyupctmbcgOPjWjvMWDv1dDtoClOJ2/lgyiCErHiqAKTg+uiNMuGJ7\nPX/AA7XBmiWo04yZilssyZB3VZ5bqwRz7uRx7On4hAb3fw//mY+MqmB/j7EOQsfr5SKkz4wrsmcw\nuYJ7NJrnGzy/VtR7f1J+71n6BC9m/hKALxlORL/+4/3rev0AMDr+JwDfQERfAPB9kOpjP88LENHX\nAfi9AP4xZv7uo4X+25/2057+AdWZjRI0CSvh5ct7Kcwj+kCu47Ulx5Kr0Cg536HJJ9edrT44Qq45\n5YWvD5Ty4rLy6Mm/oCyKXHdrAWKryC/dGAg8CMzqaVY+2Qdx8YxdIFehBXQ7wTr2NN7RdjK622Sg\nuvfKDlR1oD1Xnr4L3njx/ncbjsFn8OahdughbA/79AA8WGcXRJtRH7b6t7W05hGtPNw9/dTJ9PCp\n3jc0Q+7NewbpDcP0adkMPV7rUlXnLi3VaCZXyvd72Vqqv1lHddjkiBAuGfSaQa+sMIOUFgrMgl89\nnxFes8BX5Tv9oDqtLGTT4u/dW/f1W3gDPh+zwDd+nFs4d4wGnyCN2F4AegfQWWAY/tKNOzS8yLOI\nIIZxgSe5b+lFjac3Xh/RXvlw11d6a3tm3ojolwP4/ZDHze9g5u8iom9S/m8D8C8D+CEA/kMSs3Jl\n5m/s1/rb8L88/QMSrJxzLetMvsTzqGRzx6dbfFtbYeKMUNyxujPZuKSjIUENBpOBnpGjVL+jwNrw\nTc6f6cTAGXW9xNIt087VM1ycifVEcbQmdgFaA2DEq3EN+YhncRFAPfNXtzlZr5iVNdCOpdJiHzNQ\n+GOe6YU+rsAfvZQb7AB+K6+H+5Hv4O9Dc94edjAytDw4di/TRj6jcaD5Bm59UeHyIFUDtXgpnFu5\naTKoWVpNFVUzLCzAuss+8IZKY6CowdrsmklnuJk7mX70a9zgSXyGeBlDJHBIklG0SwMGpI4PStov\nHGx09OnBUfUMJhKPhD+aYi7HVT5uC1m/71/NoHcA/roBn9HEcxXPiKMjQbrdrihdb1mzvwo+gHFA\nN9h30e3XVgdP8YoVvHiz9LNXr4XB4Un5sr7dm+7eK0ayy4qhqPePpeAniNfor7p7sbtvR8kCZJk3\nb73+gffQ/bSuo5TZL5OL7gSafrh/iIi/9f/9e5/XA9deEr5HRGNY9DK5VLarctz2pXDGCu3WYldT\ngMtDpqkf4OsT+IfKjodWPnfrqVwOJPU+XG2ErA9Bq+WRy0NRjxSC9jg5ki28oDpVFozSbE4i+7lt\nctfRKm783Daz62UbeckKaGI9BjPf4t/RPVxDbqI6HZ2r3+I5mO7pczU4GlgNDzM0GvhIpqd3MkZr\nHtZH3opH4YEBsoPvHc096tl4RudDGKdPynKJS6lzra+xn0fyx3oD3sbAFeCrNFWDznxx9EulQ3G+\nKv9yQO/ky7pXBiLpCDJP9BjNxrSn8YBmchQAQm6qzQadLSNvR1PZUHRuy1XZXBp/vvH6Qvh3+M++\nzwJExMz80RwmRMT4KQ/+zt9O+Jg/m10fNczmX/v23/C0DoERQ0IMG2JMAlOqtKD9UeKmtJZnY2r4\nvWxLk3LAqSvpmw7gFo+HcqkrNexKCeeEkBicxMsi5/fUzQA2kpLnCVJ62cliO9bjjaqb3mA78nCB\nj+WM2Xlx6tzCZDUQlH5Lr9RVsBcxBrDOvdHQZEh0uoV/oKs3EGrcQYVLDMMBfyfbnVcf8s1YUO9E\nGaQzdHa/i+k8Msq6ToeijqnCmMb0BnY4bvA8zLb+jfiqm4GXbx2jeBYPH835Bu/GWsyklVitImsc\n41bN9dTRoMHNpAHPp1hkpUpsdGsJjsTSy+iSJK33khGvudKuQgvXjHBNiA4u9IvyrtnxVcbrXxLC\nwljnCetpxno6YT3PCit+mrEYfj5V3my0KrfTO7e4DSbCaVkxLwvmdcW8bJjXBfOyYl7WyltW5a84\nLZU/K/+0drjC07oW2NYN77GxPr9Z81O8vtKPVz7k9bX/5/c+r0SMOGWEmBBilq6HMRc4eprOscgk\n6ZSIhBgUn9q50Tc6EgJvksHgZ4WJN1BOIE7aJ8BmLcylRzo2lzeEweqi9e73QtuggaYMWgBeUZpF\nGcylqRRqMKqHFe9lm7USSszrcQvyPUy4L9sP5uIEaF7yj6TGtf00xrgFvfleKGa/j8z4UYXncvFe\np/zOnVyzE/d0d7yy28X3sQqdAeHhkd5Qzh+16BELuWOVwyBjX6PGBxvfS488Snt84O95c7jPr8y2\nhj928Z936GCfvt0f0xzBIx4APlGpL2LdXf3YGjwMaJ3c+bYMZZZCgKeEuCTEc5Z2Bou1M3AtD5YW\nF5kMuiZAR1gqL15JZYFpYcEXYJ2B9cRY54z1ZCNhPW1YZ8L5RFhPkDGz8GeTSdhOCeu8YT2talis\nzpAxI6XiADBdNzEKriumZZPZ06YVc9wwhxUTrZixYuYNc14x5RVz0gaFMF6SnlYpufL6EsRLV+y/\nuz/Qr3Rf5NO8PqrR8VvDr3xeyV4guuMpDZosirpEU1PzsukbONkLr5nheHD3JsMFijLIB4O6oNAd\nrdHx9NzQez6SGAdlXB287mn5SLYfPW+tNAnsBKy/VZnfQntAB8Awi2YXZ/Bghs5Dw3bIbyiARqPd\n8SN6FqcB1OMPrrD3bhQvx4DWyxaa86gUY+sMiRk66ezwIU/ph7x760S0HoJb3oMj2qPeB8Of8Yr4\nzJxnvTJNbAyXGBmKDJq49mSKGcHKoasHiCMQfbpmZGBiqSkSMyjGsk7ZONmmh6J6dbN4dCdpDBmh\nnl1y9DkhrhnxrAbFaoXbkrSZ1yJvZMelFlelx55YuWxMprBhihte4lV/F5L7K9bfDVEPLZJ5Wgm8\nEvgVWn/FPgPTr3jD04q9ZK0YUgdvHdzzdPdCkx6pTCyBpCqLbbDe511mv+yuj2p0/Mg/8X3PK5Hu\nzmLN7edIOqOek0aUfP9yRupz/2/Qi66tySiVNq1wkqW9kgZ2DekWHFpKg/PtdRy9eAtQX1K7l9Do\nRTTr7/Wu0+nl+ln/nd6LMaIZfkh7ZC2gaYJVsgQ0e4C7jIMmk8BlH/R6u+wEk5kkjoWuWWJNrqyw\nzLRkhKvEm9yl9zIWC7TJukH5tOhD7ug6Yg3ovXeFurnxDkCNnQ0l6A5rNeBKpV3n3SiBdtMBr6M1\nnpEITVl1qasFB+B5BCfnAjZprGuy6HjWg4Xg4qWApmcLGryTVRxDvuptxpfPNIUJSzhhCTOWcMLq\n4DF9Vngv9wg9MOOUFpzSgjmtzSxj3fF3dF5xCtpunrRtfV4buVnhkLJ+JvrZHN2T3ut27959Vma3\n47tD87AZd6cHdD5L1+dGR73yH3mDEkEfelx3w5Fbd/DI/XuDRkeyBmfIcYWvqdGPI/ojMj19QxOB\nzTNAlv56K+31QKbwT53M5PgBXYEkg7nAYz5Kxs0hX9fp+XkOSHNEmidsc8Q2R6Q5Ypsnnff4iLed\nbsuZbA4B8TUhXBLiq3TaDa8drDyR6eDLJjJX6YETSHvepIQQFM6yu/z/23vzWPu+rC7ws/be55z7\nflQ1aItMVd1V2iUBWhOrW5lUFNEg6UCbGKdA1NgdIo6dbiMYpzjEITEOMU4tjumGGJsQSHAgCEbj\ngC0lIlTZFE5VIJONgNS755y99/KPtfZ4z7nv3fed6vf7nfXL+e017f3e99z7zll77TXYxcPeB/k3\no3h3srHQ0/q/nn6MzsVaLF4s8sieP6qOnLij66MPJoBM0dk8FunrMDhCnEjKl0/afXYicIXHyQg9\ndnSWX86/1Cl06aTKUr48FetL3VRzUb6qm2rFyx1a05xVa7FkuurOukZwIASyWGjEmU64N3cy0uV4\nT3eYaRKe2dZpxp21LAWccC4Xn3Gie9yx0He4x4mEf4d71bvHHSo5dI474+REfsLc6J1wD4BA6IrZ\nbXqbuHjxNj1XfGWuymuakTOOtvv16EYwGai1bqq5lPG0adzWSQbu5hnrI+GtT5/66uCI6SjwA//y\nafOoSglMOKX0qwp/iI9OJ/NrOqVqMfaj6h8bdb+HG4gRYCGRSozSr6LrXSEjVf0oFJ8Kr+lr0fe+\nqHkD5V4WDJQ+E0ubeVLwmDNQMi8Vyap7XVQ4dfMzb40wJsI5idEZHOUOwLHq2pk8FJLym7r+VjLV\njZ2sXifrGWSXLenLqcbNFVmDs7rW7xg0RBk3dTnHaUTGZvxF4vfyuBPfscXPc3U0GsNhrNoF+r2u\n+Y2OVZ1H8mtc/oYYxgJsAowhsI0lVdUAzJUb/nyZxprd9w3e6rSprsjeCCSvBKN4LWLCH5bl+XFr\nLZQUVwAjFliIIfBW/CgCWWjbRQQoTralYa/qNXxqdWAYxjKMkyKExukxjo1lNAwz1LyiY9wlj2zE\nagnenvAhN8LYt4AsZxktEVAvILKHj4FZx4aOQDqiSfQszwOEdo20ZllDeJEN/DDADyPWYYB3CR/h\nxwofBh1Vj0Z4O2C1FW9rnhuqucJPxzpPgb/85JmvED7MU2ZfqtHxwx94wiQqD1EyilOFm+eAVzEj\nud4BPfEyO/gDc+JICKN4APpgs7yzzzyX8cvRbc/v1mAQ3Fl2+m6Wnb87667+rIFr5wB39rBOM4RI\nO+EGpSEBXC7oTr+ZpwFv5wA7e5izvKysZcDG28ol1/UmbtE3aA3Bx+BppGqN4fHrcBBDIQa5uMKj\nyrZ00OFc6cdwOadehxxJLxNHwGAaWjxmBHKm0qnGTh9pjhNZoguPQEQSp6S1JoyOpMXxLnlikJkl\n5rinVifsrpXo9CzYDD59zN/YQ3oXcs7ZZSPLUzxnUjHy8WV9XFkfYT5FP1rKmTA8lKyYqxdVLRx6\n2cYavuNDi5Thvlx0/wBt1PoNUSo2J9xHMTDuSXWh8wm4J+CeESNhnhyWacQynbBOE5bphGU6YQ53\nWOIJC05YzAmLO2EhGefxhGW6y7r9NU8ib9bTkU0dbfwmgON4pcBTgmoJ6ha2gNGYC5PS95zuwvRl\nREpHHeFaPMVypLlpDldr5CC0vQC0Lf61YLVHrMOGEJzFYgcsdtRrwOLGjjdicR2d9Vp63pCvaS0a\nwQyMtGC0K0arZ8DDgpFXjLxgwiJy08mHFeO4YNQ0tXFe5Krxnl4Ydtby8XtHWvYK/9qcazKDNkNh\nK2vhsbJr8opPETARkvqsvL6a6FX+rXQE/GjhxwHr5GTXp2OmRwc/DVh19NW4Vvp+cnJ8lXULf63W\nAUGyDhZNeVzWQs8ew+LhVObWoucq/YaeVzi/s57q5eOnh4yILf4tuhU/e5m2vFfx0gu1S/deq3p+\npYuBQacInBiYAnAi0ImAE4ATKa34neBO+Y1M51DCJ5S1gvzjyBKQ/02MGFl/r4SzJtsxIrPGhhU8\nMkP+A6Jivf6WTiBGMB7eLVpVOcBOHsPdDHO6x3Aacbob4E8j/N2IcBrh7wYdR4TTNdkIfxpEJ9PP\n5ukAvvAZ5r4iOI5XCvxX73zCJILGO1AV/EZNMaMU/yA0VdXuhB9VFitZuwZVa+nPzLsURhskyZcy\n1K7brXmcX069HulWx1iGtQGD9YCDpP7aiMGumOyK1c1Y7QBvHVbr4N0go3WF79yDOt6JjEHioQge\nzusYAlz0sMZL6p71cEOAu5M4Bud9nmNDAAIjesIaHDgAPhgs3sGFUfSDh/UyuhAkyLA6f23GjYqS\n7UjZQHuUzAAgkvP91MY8V1wt5/y5umrGY67MmkrcX8zVc3+JA6jxmHetOfaie7mljJ4Sq7Svi1q3\nklNH+wHwQ5TLBYQh8RjeMfwQ5HIOfljFsBgcgrMZ94NVuUVwboNfcBDgbIAdPNwk3x/nPawvuPMe\ndtXP3geVqXzd0PUBxnuQ94CPYB8RPSOsAHnq4oXKWErFcyvvdLmXbazV66Ug7GxIKI4t/oZePydX\nmNW/fVPpUNTn0h2DTqzlwelqiXDh02WZ8H7OVHRwB9A58QGegXiGFBM71zi3/JQJtwJRawJx4MbQ\nioAGAwNRN3bsGHFQ/QhEjuCTR5yAOAXwOCOODnGw4MEiDhbRWbCTMToLthbRWkTjwMYiGotIFkzS\n1CLCgllxVjxaxOjA0T5jPOnr0Og4UmYLfOzPeMIkQs6X54HAI2QclJfoLZ2eN1bzhm7dikaAZjto\nPMKMjAu/pxlmQU5JE1m1RtaFZkYUPmYCrQw3eLjBg4czoCXLUxCotGvXcXhgdMh9WC5GV+hU1TQ1\nSYvU4U5jSGq+UXfuDu4NYTUjojkhUrU+FR2GtpEH7dLSbYdKe/ktmir+Bs1E4Ag53rn3ckyUjovu\nvR4tebh7L8dGUQu1rco/S2CoO3s9cvJw9xuys69+BksqXzJsu/LhWz1PHtStdXJwcDXHAY7k3zDR\n0qWOJ7zipcZp6HgAEOTlznOll8dKLx0bGsibNNMs4wTQaYO/p29anCqdaBgLkVbWBHAuF59Z8BnA\nmaTaZpb1uhv0zBLUvSVfig1YkE1Sfu2dzfQFmype5/XPG5/kpSOJLQFD2zFAspJMvY687ZOcUqD6\nLMZFnRLdpEFrejRWvX/p/i6FrnGu+XUwvBpn+d+TPI2aUcI9nxmYPHgKubkb9LmVSyIAQKT87808\n7vgLyec1AZgIGAEeFU//vok2PoQb4Mc9w9xXBcfxSgH7458widJLlMGO9cXKly/Y+qXsKl4KViPK\nOxREEsvb64M38SLAgSSdVY0LVEZG/kPueUnvDAm06nlb+ueyPhaAtCaAVIfkFxfnoFd0RrweQ9nV\nro7AQ7X7reRZzw0Vboss6w66lnhYajlRhOUIg9IXxyYcNa2N/Sr+gADLa6UXNubFdl4sFRhT6qxZ\nomYpxNymnrj6HYx0vzU2glyUoL1YXYhiJlHMein4zwz6le0yp3IPlPSyTTvb9HBIL5VV58xoj/s2\nMq6a7C0GKIpLO/cKqXfYaXeedtl7dL0Tj/s0G5Lqm4MWzBq04qbGCoTBllF1+nFTtxvDaBB1NIt8\njvYs1TQvxnmHf01e8+ZOtsbNvzPa+bvb4zeffyenXj95sraeg4/hJ6Pgyjo9TwJfDYJ6DRIuga8F\njwmftMjZW8XbUOsk/IJPJgfYwiDXJ7G2LvTY0jYXcKyKON6il2gXd+7a4+C1Z5r9iuAwOip4Sk1Z\nghSByQ9ebuMk9CGeH54Bjeu5PguHQ7aSd2MBnOr2Vv8VmmrZzk6hqRaa2tnXV3oJ5R1hdd1CP1bX\nIpdu9qPTcsdjLntc04uWPF6a0sgj1uER8yqZIy91BHIlwYQvGFBkBoDliBG+09ORa3xp+HltrHDR\nN/ec8n3n/DLN7d9TqnSq99Dv2iYWl3Vab67X5fJzGMWD0BqltZUAACAASURBVH0udSVVkP68VV36\n3WcUNz6/3TXrI4HuGIErfOuY4SnyaAjrnYU/DVjvBqwnV+Fy+Tsn4ymNlfxO9ZUnuCt41E/QamyK\nHeCcxxClKqV8/vrdoBWjWTFYrWLpVgzDimFcMUwrxpPEjLSXx1hVwxzmFeO8wqhMYkxi2Yn31/BI\n3i1XqqDafbfQP1u2eA+Ne7xFngF+0r/vyUlp8+664I+Xeo+dy47gSNtBYIWjoKPHAOVTPcpn3fK8\nVird0u/mksdFDZIb4KOePPMVwhHTUcEHnzCHIG6zzrXM9R96qj0xUuZxrOZDH87pJbI7H+WPX12I\nVLsS+/Lj6wbd6PPl/K25Ky6zLq7Rj5Ft8SseEWOIK2wMmOKCGI1cbBAjFToahGgQg0H8MYP4n00j\na+ddzq1lEjPDgEtHEAwaFHesMiiP9UiBi2xoZXCMdTDww4TzMMp6TvVS9ciqY65ZY0Pn2I4qNqPo\ntnQz32+vZ9YI9iVgsMleSS/suMOrM1W2xp31OKLJwtrKzKp5eXTidm94hIsssX4eGUjlzVHKZ9uR\nM27yFWETPhQebV4BNBpgNMAYdDR6tCi/AMPIy4kka8rZAOcC3Bg0ATVKxU4jO13rIuygv8Ok3q2Z\nc3p3bkhYXeVFzGVTUNW2eRDfkqWg9GoDlOtYAGWjlH5W9dypa/jkTUnaXCXjMx9ZVM+69Leenmfp\n37JsrL0C1gSQYTizYjLyd8qzQVwN4oekgWQ+JrXlODU1p2zkxkgGjmnnpKaT0ngSktLr6tTejtaK\nralya+Jd1U2pxtWaKYX4mY5XftIzzH1V8AI8HUT0+wB8PuTb9h8B/Gpm/gARvQPAewG8T1X/ETN/\nybW1Xq7RcX7CHANEJsn9h15UdVwNEjwYK1kjTzUemjgQifGQWhctP04knWFT2eD0UqnKCZsKlxoU\nYlzQIqmBhbc3D63OypcZHHtHKM+C125iZlgtm9x7YVKZ9IZeO3qPd2UOD6UgVK41MpVaI1mWeFm3\nLRRV0xfrVDrsSApABS1D72OpM5L4Xkbhm6zDIYKYwKQPNC3BbCwjhggzIjfPYy2ExqkIUtU+PHog\nrhWeriqboeGvBecNXk2zFwPEOL20wqgZ9HJl5KEYDEZfikkf3VjPMxpLcrGWEwNPjpUCjCNYR3AO\ncBrAOjgJbPUu6BGbh3erHL2lIzhXHc0l3FXHe8bBk4NFgDMeg5btds5j4LKzbfhO4qPc6DGskkHj\nlgpfNcPGCy6lxEM2ImnRoNRbjiyTEVAbGFppOOMPrMHJ81W1oE89kzJv7XQS7xrt93UA7RVV/eq9\nYzQ713hb54J3Tc9A4uZybB4AfR6jir3D0OmNqpf1d2RDVbdosKL3DEbHRzx96hsN/ggz/04AIKLf\nCOB3A/hfVPZ+Zv7pj13o5RodH337FDaEOLS1JnK9iVTTYujqUOzx93RqPWdhAkvzoFSXQpsJOZ+a\nJ1VNmJTOeKKrhkybeN3EaQ3bKbY1/hD9GLzmcftwyw+4W3g3ziPLgIt6VBYkaygfb1F+4UFfXo18\nByctX1/jmWeh2UUly+gi42iHlzKVMp7W6NZL2UiZFyVdNncL1kj/fPTx0JjSYdOvprtXBuSIRT+/\nZOBwrAyGYWN0O/zK0Nji7ekmr5RxEc553WFKplNwVjqqWhlDNwpfuq8m3Van0jOmiQcwFEv/EY6w\nHGCgPUkoeTiCejkCrJeeJMZLEzC7Ki/jvSzmOal3x+abExs49HuRjM5ruldoDkBQgzKsYlyGFQg9\nvd4u39PVVilNF/qGxnX51bkbumS14myg4gUl9ZA4g4hES7G/qJ14c/feiRBPhVdXr40n01TATbxn\nMTo+4+lT31DAzD9akW8B8INPXeulGh3nzx5unsMEdeFZRGsQUgMhw4CNIAvY7FILMMkNaK2OBiHz\n2isYI2lWkcSdGCziamT3m9pH59bQUUpnJ7xqKZ1xDVZsWk4nXQ1Wk8p8ETxHxDkCZxavQB+QVh+P\nmE62c4RCG7ykR/08jQWgPm1Q4xzYQAJyCRqki+bMvx6b+hE6NnpJJp9oaQCX/ML1ZiQhqezyjH2d\nhNZ0/YChVk7deKu817t48RCqniJljDVvEG8Mk/LNA/o1r9fVi4z6AKlchlo6yS/4iYdLPhFLXlGq\nuDpr3qcGA0Jd29YasPNSHVZfFmzF9Z49jRcykiqy2iQsV6LN+lVlWmu0iBZp8CtprBaJ8ZxGIq3H\nQ1Jq/wQJjkk6EWDeGVUPkUpgefstU7rGb6Wv67JnxEWeDbzEjMdFnhWFFxoZzxHRRDCipKSGiEgR\nzBExBl03yPy0zhzBaxTnJ8ll6fH4LbqslyN5DvE95+QAuChHps7ADAwMEeQMaCAY7aGUvNR2MLl/\nk/RXIimiVuOOcn+m5OFuHwo3whc9feobDYjoD0DuyIcAfFoleicRvQfADwP4Hcz8D66uw8zX5M8N\niIh/YH7LE2ZyVdMCZVeaXHhdHY3NOhhZF1XZ4x1doA0ATal1Z0hKWeZBedzyUopZmlfJuNY5Fxkv\naLITMj6gaVHe6Aw7/K1shy2dlK7H1cgbvG7kB+S7I6uB4tsLPW9L54qsn4eaF9F2v712bejgAfnW\nGnGUHVk4WYSTQZxsxsNU8SqdxA+qG2veqdLVMdb4aGTHvuiOfS2j9IRpeXYtuibzU6fSAONbnX6u\nWYIcNW0c39UNFDeP9pTHmaYHjwKTrjcO3jisZpAjFyvjqrxGZobMX7t5qy26nqRmzZaeN2Jxy1eX\nXgqOJYDuF5j7FXReQdVo7lfQ/XKVJ3TFu19hztVamZfmeDhwch7m0kauHyt8qD62YUenHnudnCXc\n2wFUGXndxqHVqwy4B/SA2sB7Erzj9B/Cv3uWBYiImbn/7V4YEJEGJW3B39Mrwe9H/bsR0dcD+NiN\nib+dmb+20vtSAJ/IzL+GiEYAH8HMP0RE7wbw1QA+pfOMtL/jyzQ6vo1/8tMms34hm1F3MBrWn/l6\nD1lTBVj90lv8i7k6ppLN+dJ+Amb3Sv1GtvnbMpXPUYpL6XOnP1Al4DIDpXopPpbfrxXJYLWDPmS1\noJjimV89oGvdnv8YndUMsN5j8KucqfsVbl3h/IphXbVIlPAudDJPK1c285LcX6xng8+eii3vRePZ\n2OA/RrfnlR4yVHrHDB0v7eAzX3vFVDpR6U35QE0fGuJUPrwrQc4x40bpWp7ncD2nKopWzWvKkxOr\nkYE28+sarzYwXOKhyR67xgvGItbpnKZL78y8jm9sm7q5x+v4EUb6iaTO0IrDc6mJkfGKl7pMV3Oa\n+XkdaBv2av6qnYvXAHh5LmANhbdGkA+FrzRWkZPf5sNvyQU3GiScL8IFj3qdDd1dnX4tIB8h5os3\neE/R2dN7OrzD/CC/Do2ODz1S+zU85Xcjov8GwNcx83+/IftGAP87M3/L3vyXerzyAbz9SfOYNJA0\n1dqgElQKqJu55ifDQvG8m+Ca1xowNd+adE4c4JyHHWU36HzIZ8OuG7P8Qsc3c50P+iDQ7qSeYVdc\n/6PakPGWPFyfW88JZLAMDvMw4Tyc2sudLnk4YaYTzqbIZ7c3t/Dnij+GBZM/4+RnnPwZJ3/O9BTm\nhi74Nl3wljb+DPgZNswY/ZI++cbrkvdU5XQHqIzvOv6jyPO3sXjOMr+K8UjHGABKy1nVS5kIlVHz\nXMY62s88kd6SpSyIDblUm6TKgCDlAXCK24InA6Kew7aavzEn8237N89E+tVmAAGGIggeBgQHUwLK\nQSXAPBWMq3lUZBe8KNVszZyOWllqvSR64YxLccAd3T3+XDYdiS950miD5su3quEVT0nLazwoyXDV\n/g+1Dqcvj4Ucz1m9DADLFzypI6R8pckykPWqdYzqdjyy+keSYl/q7rM976njFu/l7Ks/jOD558wS\n0buY+TuV/AIA71H+TwDwQ8wciOgnAXgXgH99ba2XanR8C9598xxilkBOvVwMMDGWRmPx8hK+r3jX\n9fMVAlyM0mgqVDu7oDvCUO0IQxlNTXe4qeZmORjGsGQAGHVVV4GHAMqRRJ1mV+ukWInuj427P7xG\nXtFMAWaYMY0ebrjHa7kwk+0KNe3QQ02bSm9/PlKMAGm3zDGCJnkNZL6O+TVArcwgaoxCLDJErAQE\njPgQDSB8ROanFufk25bnlNqkX/BikaX02K4rbd1evawjKbPZyEP1Odbji+A9S9ZTbWCkY7cH5iVP\nTY67SEF/OV6qjtFQutEp8Rx5Ti3r6GhNt9FoX56tAbEj33uJ0+WLO1lzhmN5foQIE0rAqdHjKLvE\nHPdlU4ExjQWzuShZkdkcByY0ZgLOAXaWirzrMMjlXMFHHYeKp9eyw8/6o3RyXTZ0/OAk86eqbSM1\nby55A0ptlFQ7Y7yis8e3HK4bCrcaFI9Z601ndNy/iEX/IBF9IuSufheAX6f8nwPg9xLRCnnyfTEz\n/6drC71Uo+Ot/+axbp8CFKMYC96XPg65r4f2C1FXuvP7/KvyvL7wSkZCv6O9pDOv+2JT96JofFhb\na1UFmLKB8Fg6GSj1zzC6UbfVj62PWojhnAeMl91NgohScjn97rXhs6JkPdQxIlV9gjompY4/yVkL\ndcZCzmxo6au4MwjWXdVNNQUkg0HjEXwssQl1FsPayX0V7+Bj5hsfuvk1T/Cc+RAgrvTK4EOoZdv0\n4/W5BAL397r+LLqaEhd0VJwUT2mf9src2lgxeq6Uy1frNzsqz6RRz6iIQEaMiNIyuuAiMw0PxoBS\n0Ez188jod9qw9vxg5LLthpQn+nkkyn15aj3kIF39fVlSqa1Wos0jR6mYm3GthquXVYPZqgfGUiyj\nUWNbx+w9SDExlnLmRZgkrsefLNbJSZGt04hlGqRD6ykV3xK88FRHdYV2Mia9aZC1xkEMh6iNHnUs\ntDR/HKMU4Uv0EB1GXhGigWeDoLV9OAf6ykbLcISJAZZNqX4bbrj8E2X99aYzOp6/p4OZf8kO/6sA\nfNUta71Uo+OX/c2bfjeBCKkg6RlYuVSU1N2lFNC5lNPKFb/VSeeoUB2pf8BY0zwgt7hPBZFq/Jrs\nFhw1js4wqWlF8t9O2nleKO5AJ9cwlzb+o48beYhODxCtLUDnDZ1uHjuDoGXR291cqtUwaI2Gfrfn\nsLqyo/MdnXEe4NlhJQkGDGSkYZ2TxmSWAxz76grSb0Xx1Mr8kk54O7+lAxw8aIkaJMxyTzLOgp8l\nzquhO12cVV8DmOnMUrSqkZGuxSDtw1JfqWfLJr/n1XpRDOZUqZVsZVMYMSjJiHfPBAZiKJkhEXJE\nkPBAxVunrQeQ8HzkR9Xx3846kXKH6FzIL+E5ArLno+LTNn9DJ69hIDU7UhxG2jiQHi841vLy6huh\ndDShshGgST/rO5ZeTFp4TAqSQavbFpkxAeMIuClgHAhxUo+hpo0GbUcfJpNTSYVnN3iV3mjEG2kN\nQsoEJIMAU7UaCMWI4srAUuOhGF1BPnsOmdfKKyMtGR0Zj+XYtz4KZrSGQXp22I6uU/4tmg3YxZo1\n700H/mGVVwgv1ej4mO/6/tsncXUkUH3Bet5jx+aIIdF1yifQpqi6brTIfTEuxsoN/eCcTp7+rXns\n3ejpobfB3+Rd0ZGHp+z+2OguUDu05l41fddXA6UruYGc5dfr2CSr5iovkpG+DGRyUGBUXDbGEY68\n9Gghj4G0ouliEVaDeK7nl3VSz4h+TSYq/VgQdDcayoMWUs0y93LpeBm/YR6tXKpaVi8ZMRqUl6rV\nzuh0Ob+Isq4HoEdy8iBm+auN8iKEQSmGNplcUC2ORmnK4wWvKqyW+WNdfK3iVYXbYACj1VqNBjwm\nPHXsbeS5AFusjqZUrjhVuF0ZpN6mtEYTT7KTVs47qea7fHN9HapfiOlSo6ymE04bvOzVTB6iU6tT\nr0UGoCFKDx9HoIFhBoLRtFCn6aKSQmpKgHLmKV6ljRadKtXUluaKaUOSmshBv1N1t2wwpJgdi2fj\n4vfu7hElt+uGvD12ZinUVx9T18fYQYOaw+VRdQ6GDrE65o7d2sI7PB0fXvBSjQ48weYAANr5cvd/\n2DkfK51LX9O/dlW7qieND+ls6ffW+pYFf6vOFRlTejDVufBmm07ZEtWDrNBbsnpuevAZecBUJcNL\n6fGoAbYzTIqvyC8cLTe+1HM4v5Aov7w4t6U3VbzFowyyR4/cGn97xl2949oL8N3alV2jgRJzMbRy\nPxnpfzI5eB35ZC94Pe1PDuvk4E+28KZapvxuPghws4dbAobZC15dwywVQJPOhSxdHDAE9RQFrRba\nz589zBy3X+79y27LSNgwGh71DADK3+pjLvcInfEBuaYRczKUNL6FU5yL7eJe+piZq7KOb6ouz323\n5268LitBuHs6tS4iw2n8nK1GV9ENnnRqPOlv6cXYrEGhRPK8eeDwdBT4yCfMUbca1661vItGu8O5\noKndzaR1ejrv0JENl7Jr4W1r/uIhyNu7l3T++KEk4801GnhWuuelf2/1aUcYbbU2YgkjFj9guR+F\nxojURq2ml4pObdoE39IZKl2hHXs9N67PkNtzZDk77uX1efLW/F6ujeDY336vnqqT6P54KbmFkyG7\nJ9/iP1IerMVqR8x2xGyn7hqxbPAamifMy4g5TFjO22vUNJgwLTPGdca0pGuRseHNGNdlR7Zg3OD1\nerQAbgloMolu+Zz2eNf4tXu/DqKtNxR7hsT4AH5Fzimuw7RFDYOxeixSjkdCVeAwWFvJNK5pY41o\nTPEIqg9P6hZVF2Q0nMaYaxttybfm78kyP6ViB03XTp6MPuU7eUF6WcVvZIElLbwO+I+8/zm/YeHw\ndBQYnzCHUJ3VUq4DcHF+6yjzLs92qTu/rccNWYQ0ZvMArZRjQkj7HlAKqEz9C1YWPS88znKW8t++\nzGNdjzyD6zWuvXSuXXjiPAZCtFjDgCWOOIcTzvGEOUw4xxPO4YQ5Ti2/00nyC72d+SMWTDTjRGec\ncBYcZ5zojAkLJuWfqJd1czbmB8xSnZMYFhGuiY59idC78fcyQfayTK5lmuysUXajFtICLeUkjFjk\n7kHv2HU8faZeaRLZGSfVFRyBMK1nnNYzTut8FZ/8jHWdsa5n+HVAWAeE1SGuFrwYYCXQCpgVMCtL\nWvkaEFaPuBrwSvJ3Asiz4BF/D7u1am79u3nIm7HluXxI7xqtFVmD0TLwxsFbqR/ijYU3EjztjfKs\nFR2Vi8xVMuVTGh08WQTYPEpcUskMtNE3tIsa9xQDTJTsPsvbujZqjFPGVaeiTYz7Xr5b8Md6Ct+U\nMR0vJHvlucGH//EKoerPwfmhW1fqlIcx57z/vsAQHO8WHyppgBUfaL0Wdb0LviIDShDagOwl2Zxb\nezl21sc1nWv64WFdg4jJzBjMitfMh2QXZKwEoumuKPMeM9qW3tJJ6c8p5Xlz5D25BKXtzuVL/qYX\naQseuxN6jF4f9PaseHpBpu8XQ4zUSmcwC6wJmMwZb80vrHLvZber44a80bsqkxFMMFWlU9ONdolS\ngybFaCx19dNK9sg1aOUm8Lr2VDYxGU/l7cnrz6P3OD1FtqWTPs8IRENqMJSiektVqG9JhfYSHkW2\nKG9lxXnInsg1JbnSgIUqGUtjeAcv2SlxxRAkY6Ueh7hiDK3cBd/Kr+gOYQXHVRoixlhq1dQddNdH\n8HZG3prb6z2Dp4P+j6fPfXVwHK8U+MDtU7g7XuEOb3m8q7c/55LXZ5g0WSf0gHxvvv47JPp/4+fc\nkkpWp4LVFv1DV6VHYLjBgwdgGCjvuhgoD98BEtVf7co441Q8Qxdy2tBHTnWj+uGglR1zGlzlGZKM\noy39IruUp4wDvZ7qQXqWq4aevsZ/SDcZlB1f2nwHGBcRbYADVT1goDEBlPue5KuiY6ZxoRP7OUC5\nx+m+h+pzqD/L0PPKZx09EIPB6k2ru7FGrqKR+8Sg6SlzOe7IKxk25yLTN39mtYF/y+eufDLyWUo/\nm5A/j9yu3QlfuumuYpxYh8lKNleivdPRatl3ayWri1WHpHOvZ6dlCLxU9E0Vg7125N3iK93K6nEt\nOqvPTfZSPZzdehr992RL5zF1PeLGOsfxyocVvFSjg9//tHkRGj2NdsMeK9kF7wqfuaO7n5Hag9Mo\no+nGC34tu6a/I6P+wVUbEv3DfeNhvyu7pkvQjAeUNtETSZvoCeAgaY0pwp2NHENlOlWgTG2ldT7G\n/XXJo6QIrtymDK7ywVDUhz4DuYx0yupYS3qh0KjSD1lpSDZISnd87NHF3tHHrUceVH2ptoIXdzIi\nduUP0Qw5s3cGgW250JcIVznU3V6XBK9qnERXaqn41Ak211YRmo3RBzkXjx+q3yl9fg1fXva7vIpf\nuv8Wfnp5mTVWVX/rWitdx9g1lBoq3djwd+ZS4GIgPHQs85x0jI0Y3ALnVjE4UlB2UzIfGd/TYYec\ntcJb81EKo6VGfrQwzKx/T0pLpdWaTn9vrK0hel1cmStjNppvvV89b5SRHrvWmwoOT0eBT3/CHN3d\nkV4mADHKmHftAYiVDgXAROFxaMeoqbGNLFayAMCpUTABNLWjmcrvoQ03pYaRZvWlmkbGqfEydnP1\nwgSpmaDjNa/ETbJH6jKR5O4PWlF0kFz+Um3U5KqjtbzRdzfMdwYmFU6iCGsijAmwaQe3RphBXxZj\n7NzusXO/x9ZNv27o6+7qQXf6lkv9sbLaRd4fbz3hM3nqZ0uOYYaohdoYdohS0dMZTaGsspIqnLO8\n1i163MxR2WByoa10yYOfrz74c8rvjk6zhrnUMaQBjTn4UHsWpVLkC2uJ8Rpn0BI7XEaeI8LCYNX3\nzVyGWctnnL2UHX0hI7TeywdkVH2Hcu0PB7DjKmi1xLE18WpNPBuQurHxpqyfS7lOSYpTy+ndK9Ro\nh6Z7V3jSS7FtS6dbzc2p30m38s5mj1nytCUPW8/LOG7kt+s9i+HxtqdPfYVweDoy0C9+wqQImEXO\n7khHswKseDMudMnbGWOFY23lsMU4oFOF9/SWLBkSJ4ZR42JvDUwAJwPkgbgOiuKhoQf0NseNnTSD\nNOuh6tqp7tlNnhnUZVt4Xrt2ijy5ciseqUs3SOFkGzyG4OXMFx7OeAy2wp3HMKp7Nng5J/Yyx1X4\nENTVG1ahFXcdfrFbxS04F1b/0NoKUks6yZv00Jn1U861t3gBME5rOwzh9jTO+hhsSz/zqOVl44Bb\nA6wb6Ypsd94Gj2e9ztV4hnRprq+5o6/JZiDuyLFACqOly3S08rAnf4jueLXXLNf0cADUELmIVesv\ny1dkV+inek7744v0ebkO7+YzUS5YFkcxYkOm1SBOBc1qftIfzeWcXRlp+wXKv+ItI/B6NToOT0eB\nJ6TMMgPMkgsetYts5B7XXPFKVuSm4LgiUzkzSfZKSuna7asSd/gM+jEG/UjclqUCNz0/PXzqB5HB\n7sMNOw++Tb0NnAGECCwRmPU6R2AO1NIRmCNhDsA5UqbPkbAofQ4kOnqdEx5aerAGo7MYHWN0pJfB\n5CwG6zA6j9ENmJzH6ILS7Tj1/FOhJ1v4gwsYTJA0Oq/3OqDgmae9UzpeqwdZ54Jf8PRzLo5OHnMB\n5WUw3j43VeVk3RWnOBxOGV0Vf5NWvVyVs563sQ6M2mRaoIz0XJLS8ZieX1IqYJb4UUasD8yr9KF6\nOXNMd9N5s1DttB/FC/JMSS9FVjc9awwTJoDvRC8bAEOLU/UCp1q2xevkuZR8h2PApQftIfypshp3\n1bh55rxBX5M9QBOzNuhjGBCYNAYJlI2DdPSTMpf4xyj3yAHQNf9Dc1yEer7413C5a7gBft3DKh9+\ncHg6CvzgE+YQ5UI5uViOIcCVojmleE7LaxpGbRTMaXRMoeFZy1RH0JlBG+NV2ZrobZ1U2jrzZ3kA\nkT7Q6hEdvaXzEK9/aLLuRtgzsEbAR/DqczQ4+wheo4zeI64e0TvwuiB6h7g6Gb1FXK3iDmF1CN4i\nrg7BO4TVwld8mhh0isApAncRfJIr3kX4KcKfItZTxHoXMZwixlPEcMcYToTxZDCcHMY7g8FaDFbl\np1q35bkhFRGrql82hcdaWV10rJ5Hvp1vVu2hsWrlUpJ6BkYsZH2olyMITg96ku/zVb7BZVpo7huy\nzZeYjuooxOqYeJnWIzH7CF3VCRt6ACQrJfWl6cZNPGpPmx29yzWqvjcpoLg7Ut0MRtziJyMjGXVp\n3NNPR1eP9BLd6lXavdK7MRmiNb7Fu0WO7n7UoC/u/PN1U5KDzSjRSZ86uptPV+anI8HmnqvBrjFc\nIufGo1I+by5By3mNjqd6TQ+pp8Lr0ug4UmYz8Jc/YZJhmAHgIcAMBFYXct7NDe2uDIMGQ27xsytZ\n545lR5j5I+QPY4X0ZtF6G3u0dC9nfZCxeBsGAKeH52bao7ijaRvPrup0Tly/fAJkB+k7vV63wg1F\nnBgYEfEar8VDpN6gUHuGIC+bYFudhIdmrniPQq2jNAbSoFMZ0/U42mzKW10DHi28I3h9iRsn2QA0\nilGQekVQ5NwPwtQNqlSHOGqPiUvdLN9YD4yLHReAaqdWdmePwdPDfGsnB93JSa+ZQcbqWjp6S6fX\n853exRo0AAxMvGCMM6awYPQLpnWRQmDrIkXDlB792tB7ept8XdesS9OEUW9CO0K/48lzMG7Ib3mB\np7W2Uuz38Ft0t3CgHNvFDn8W3hV5Ex/RZzU5QrSVTp/h5Dr9Wndj3WSwZg9hKLjZ4DXexJpfXx7d\n/KILpS+MrDc8HJ6OAv/+CXMMqnNNbtyYvVsz7zj2rofk6UoW+VPciXU8RcpmcJC4jSvzmDdGRu7O\n2I9xY96e7ubaAEhSRUowHMnm2ap9QJXxk4yVmtfPRa9nWjqXVq/PblNPiLzTrso0G4NIBM49VtQA\n0qMxjiS9WaJBDIQYDKJXr5W+5C8rLWpAoqZIGqNyw1LNsK6cqHOIGSbjcYOX9KO6I1iO6XTkhgfh\n6favHhs5A+j0anlZBwjkACJEsvA0YKYTZpryde7o9Itt5AAADjtJREFULd6ZJsx0wkLjg3MQgdN6\nxt16xmm911Fp39JT1jvj5M+4W+/35673COsZcTWglWDWiEE9cPKFRWOEX61/8Rzwi9Li9fez8ZQ+\n5FlVuTNXdSjWJfx3etvokW/qU5M9d5V+9tol3Je+OEIXXR5IYiAGgzDaEhPRj6MGjSde/juWxnGR\n1CtmqmDybp04ipfaxtB08DUxwoZY6vFkWbgik3LnNb/pBhzS2gFb2c9vbHidx3QQ0ecC+OOQV+hf\nYOY/vKHzJwH8Ikix71/NzO/ZXOsnPvG3rNx2zZWs9rXjb+lu8a7xH3smuoXvyZMXZEOHvVzRX+LR\ni6EQwwZ/S/fKmHAwSvdwg7qL+FU640a9+4/UJQLMyOBJslM4Ze1MaNJuU1ZPTr9t9Fpe0slrJB2P\nHBxJlZFHEeKKjRv82PFDy39wTvou8pUx49QYljfpX8iAe3uHs7nDvT3h3t4pXeHW49563JuIews4\nSzDWgowDW0a0gLcGq7EgO4DtiGgmeHuH1Z4w5zXlZzAIwd8jrmdEP4H9PaIfwX4Arw7wDvAW5C3g\nLYw3MJ5gPGBXhvUM5xnOR3gfEdaA4H05svMG0RtwMKULbf+3mY5LtvBrsoeykZRmS7nuRQqM9qkI\nVx0snWTmku93dFOBL9/xTIjae2bFsKQ+NavQ5DGwBlPHFYMXHZHrnDwW3M1e11oxLGtZf/aghRFH\n0/TcWSe3S6+TbfvzXMgV94qzg4fVgHOhmQgDeak1YkrH5qHq5jykzs2xwrnFMx17WWjk4n18s1kd\nr2NPBxFZAH8KwOcA+G4A/5SIvoaZ31vpfB6A/46Z30VEnwrgzwD4tM0FP+6Jv+Ut55a3uFDj/jzu\nWP2yt8p35/Tev5quBMwbOqzPYQOYAfgHHwI+8yN35lX/ruQ+ToYBdThqfiXHhm7D7+TocGisCQbO\nsSaceI4fl2GxdaUXR/q3BUi8BFDOgpNhcCVFlXb4Pf1N3wr8vE/a0eONC4/kPVE32FVraFiEaMUL\nlDqJGtJGofplMQwyEWQjyEUYG2Cch7Ee1nk4u8C6BdYucG7BYGc4N2NwZwz2jMGJ0XHy97gL6r3w\nZ5zCfYXr6O8xhRknf8ak8smfMYYZo58x+BlDWOD8Cus9bPA5luMf/6t7fPY7YikcZ1C6GlfZHrmz\nceZR7r1UYsEKnnsvJZ6hy7kWiIawmlGOl8yAhUYdB+GbASulcWhl/ZxOdzFjHmtdS7H0FqJVLrNg\nsCtGt2AcFozTinFZMC5prHEZh4SvFuOyghejgbQMWhh2CeCF8E0fZHzWx0c452Ecw7qAwa5VLI/U\nZYna7Tms8t2Kq0E413FCto3/STx7yYNB6c6cOkBzVF6E4dDwBL+NZzjmjtDPbHC849mmvxp4fXs6\nfiaA9zPzvwUAIvpKAF8A4L2VzucD+CsAwMz/hIg+iog+hpm/r19s/m+f0nwF2w/cF3hx1Cuki2VM\n56AVvaWT6UYOcOSWTjoRUtNDj4tyEKir+D2vphX/5h8AfsHH1Lp0qZuudPSz4/HhHf6+h4h2dfWk\noH3Y94W1TEfry+Khgl28xScU4yMZFJvVDLmppsk78sYY8cA3/TPGz/14ugx42wrSS6C350LcVIbb\nuK+PWIOd3iuXjIkAYwOsXWGdhbMGg8bkBMeIlhFtBLsIWA+4FWRXGLfA2gnWnmHdCc7eY7AnDG7C\naCeM7oTJTmAinNyMKc44hXo8y6i8McwY4wIXZrg4w4QFJq6g4IEYwIERAhAiwQeDNVqY4GDigL//\nDz0+4+e/JkdowUhKqIG2MijGQWOA2G3ZpfFxKevXidZIWfHUwJCrZocb/NQ8ceWq2WEzp2uEyCPW\nUK8xwIYocSxBGhdOWDCaBdOwYKQZkxXDYxoXjH7G5JesP/pF+tx4h8k7BL+Ixyio16iu7uolY+sb\nv2fFz/6pBALDks9hJfV3jSq8fOGQ629gS049vvFHwRvii81h2YHRhWxrHreF6nr9p8DnPcPcVwav\nY08HgE9AW7z8gwA+9RE6bwNwYXT8zV/5C57wKyrc4sF4Kk9xSv0iFu0PkfBZe0IsQflb+M7cC1zW\nM4tE9MsxAeXjBUwA5Qqf0Loe5ThB9KjFzwH8mVaPGtq18tx0DOGK5cD6ZGEAOTL9KfxNPSAHQ6ob\nhBNuKjzxzYau6eal8t476yUeQNKRMujZeAo488oLsUqZ3dALsZUpz08Lzh9pVb/IKUSxd3IXZP09\nL+hWhk0dym7+Vq+bQ5Ame+sJZz811+wnnFelzxPO/lT4tcxPOPsRs58w+xFnP+LsB70czqvDnHDv\nEGAwOAM3DHDuDm6QFGU3eDgdBxfgXKEb/g49nAr/n33UN+DPfuLPKvPJw1KAo4R7OKWt8oqs11NX\nPoVG127NR4CLXnr3eCAGC6+ZEOwNondiLHhpanj20sxw9hPmipZR73fie22QqHNbeoIBYzIzRjNj\nNGpwmBmTWTCaWWVLGe2s/KWMp0u9gquOlfEH3/89+Fe/6L/OD0CqHoaknrGWt4PTnk7FS3VvtMts\n6Sbb8lrZBu8h3Yv1e1fymwFe356Ox35cW7bwBXzrp3/KI5d7tWDXAHfvMZw93DmNK4b7mtbx3mM4\nr3DKc7Pf1KN7DzqvsDX/HnBnhlsi+ATwCcAJ4DtSmnLdAD6RyE5UdCs9PgH49gh+ly1zk+wOwImk\nNHmSDWIM5AwJtPQW72Ga1Fl0fd2XdYEJJgQJKguajnlBa0BaQ1/yar0wePi7oeKJoUqBwMRtFH8f\n6a907mdSZw30mQLV3HhlrfP9lK+5ws/3I85QI2Idcb4fMN8PON8POJ91bC6H+eww3zuc82X1MvkK\nbGHuDMydg71jmDuGuYs6svKUPlW8U9ERntKGYUa5Eu+7X/tOfMPHflamR5L2ZRPPyceACTNGVo8A\nhL8lzzgW1S86iWbIjt+xh+UgnVTXgHWVKqVYCLwS4mIQFod1HbAuI5Z1wrzcidG33OF+vcP9UvDC\nu2t5ywln5ScemShejHFWj8aMcZwxDTqOM8ZR+Fk2zhgHHe3S6Sb50uBJ9qM/8YfxH37aRwOoDYQy\n1n+9z6ZT4drKPhv8sWwALvnXZNzJo7a9LzQHvEmNjg/vlFniK2deRPRpAH4PM3+u0l8GINbBpET0\nZwF8EzN/pdLvA/BZ/fEKbXZQOuCAAw444IA3LnBKN3sJcOt79mX+bgke8nT8vwDeRUTvAPA9AH4Z\ngF/R6XwNgN8A4CvVSPlPW/Ecr+Ifd8ABBxxwwAFvFng9vGevGh3M7InoNwD425Awqy9n5vcS0Rer\n/M8x89cR0ecR0fsB/BiAX/PCf+sDDjjggAMOOOB1B1ePVw444IADDjjggAOeF5iHVZ4NiOhzieh9\nRPSdRPTbXvTPe6MCEb2diL6RiL6diP4lEf0m5f94Ivp6Ivr/iOjvENFHVXO+TO/7+4joF7663/71\nB0Rkieg9RPS1Sh/3+TmCptb/DSJ6LxF9BxF96nGPny/oPft2Ivo2Ivq/iWg67vGzAxH9RSL6PiL6\ntop3830lov9BP5vvJKI/8bL/Ha8KXqjRURUX+1wAnwzgVxDRJ73In/kGhhXA/8bMnwIpvvbr9V5+\nKYCvZ+afAuAblAYRfTIkBueTIff/TxPRCzcy30DwmwF8B0rs+3Gfny/8CQBfx8yfBOCnAXgfjnv8\n3EDj8P5XAO9m5p8KOR7/5Tju8fOAvwS5RzXccl9T3MWfAfBrmfldkNjJfs03JLzoL1UuLsbMK4BU\nXOyAG4GZv5eZ/7ni/xlSoO0TUBVn0/F/VvwLAHwFM69a3O39kM/jgAeAiN4GKQv0F1DSwY/7/JyA\niD4SwM9m5r8ISOwYM/8wjnv8POFHIBuV14jIAXgNkgxw3ONnBGb++wB+qGPfcl8/lYg+DsBbmfmb\nVe+vVnPe0PCijY6twmGf8IJ/5hsedBfz0wH8EwB19dfvA/Axin885H4nOO794+GPAfitaAvlH/f5\n+cE7AfwAEf0lIvoWIvo/iegjcNzj5wbM/P8D+KOQNpvfA8kq/Hoc9/hFwa33ted/N94k9/tFGx1H\nlOpzBiJ6C4D/B8BvZuYfrWXMuYXYHhyfxwNARP8TgO/XpoWb6WfHfX5mcADeDeBPM/O7IVlvX1or\nHPf42YCIfjKA3wLpHvLxAN5CRF9Y6xz3+MXAI+7rmxpetNHx3QDeXtFvR2vdHXADENEAMTj+GjN/\ntbK/j4g+VuUfB+D7ld/f+7cp74Dr8BkAPp+I/g2ArwDw2UT013Dc5+cJHwTwQWb+p0r/DYgR8r3H\nPX5u8D8C+IfM/B+Z2QP4KgCfjuMevyi45fnwQeW/reO/Ke73izY6cnExIhohATVf84J/5hsSNPjo\nywF8BzP/8Ur0NQB+leK/CsBXV/xfTkQjEb0TwLsAfDMOuArM/NuZ+e3M/E5I4N3fZeYvwnGfnxsw\n8/cC+AAR/RRlfQ6AbwfwtTju8fOC9wH4NCK602fH50ACo497/GLgpueD/g38iGZtEYAvqua8oeGh\niqTPBHvFxV7kz3wDw2cC+EIA/4KI3qO8LwPwhwD8dSL6tQD+LYBfCgDM/B1E9NchDxoP4Ev4KMry\nFEj37LjPzxd+I4D/Szcj3wUpKmhx3OPnAsz8rUT0VyEbvwjgWwD8eQBvxXGPnwmI6CsAfBaAn0BE\nHwDwu/C058OXAPjLAO4gmVx/62X+O14VHMXBDjjggAMOOOCAlwJHHvYBBxxwwAEHHPBS4DA6Djjg\ngAMOOOCAlwKH0XHAAQcccMABB7wUOIyOAw444IADDjjgpcBhdBxwwAEHHHDAAS8FDqPjgAMOOOCA\nAw54KXAYHQcccMABBxxwwEuBw+g44IADDjjggANeCvwXXh6+aWVEOhYAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "Pxx, freqs, times, im = specgram(sig);\n", "colorbar()" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "(129, 15)" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Pxx.shape" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "16.0" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "2048/128" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAlcAAAEACAYAAACeWFNWAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nETFxZRiGYRiGEZH/A7XIZ2tK/mInAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot(Pxx[:,10])" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAh0AAAEACAYAAAAXwMQ/AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "filtered = (sig + r_[0,sig[:-1]])\n", "Pxx2, freqs, times, im = specgram(filtered);\n", "colorbar()" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAk4AAAEACAYAAABF4/l0AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nFG4AAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot(Pxx2[:,10])" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAk4AAAEACAYAAABF4/l0AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nk+M4juM4TkI8cHIcx3Ecx0nI/wGjkYR0SjMN9QAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot(Pxx[:,10])\n", "plot(Pxx2[:,10])" ] }, { "cell_type": "code", "execution_count": 142, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 142, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAlcAAAEACAYAAACeWFNWAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzsvXl4XGd59/8ZjXZptEuWbEm25S2xnc1LFhwHJWzhbSA/\nCm0wUFpIaAqE0nK1hVIgDvxKKSWUvtDQNDQshRI3IZCYxEkIiUjIZjtxvK+SbEm2dkuWNNpme/94\ndDzrmTln5syMZnR/rkuXNDNnzjyaMzPnO9/v/dwPCIIgCIIgCIIgCIIgCIIgCIIgCIIgCIIgCIIg\nCIIgCIIgCIIgCIIgCIIgCIIgCIIgCCZ4EOgHDkbZphXYBxwC2pI/JEEQBEEQhMxlK3AV+uKqAjgM\nNM5drknFoARBEARBEOYjOQa2eREYiXL7h4BfAD1zl4cSHZQgCIIgCEKmYkRcxWIVUAU8D+wF/sSC\nfQqCIAiCIGQkuRbsIw/YALwNKAZeAV4FTlqwb0EQBEEQhIzCCnHVjYoCp+Z+XgCuIERcrVixwtfe\n3m7BwwmCIAiCICSddmBlPHe0IhZ8DLgesKOcq2uAI6Ebtbe34/P55CfOn7vvvjvtY8jUH3nu5PmT\n5y9zf+T5k+cuXT/AiniFkRHn6ufAW1GzALuBu1FRIMD9wDHgKeAA4AUeiCSuBEEQBEEQFgJGxNU2\nA9t8a+5HEARBEARhQWNFLCikgNbW1nQPIWOR5y4x5PlLDHn+EkOev/iR5y592FL4WL65DFMQBEEQ\nBGFeY7PZIE6dJM6VIAiCIAiChYi4EgRBEARBsBARV4IgCIIgCBYi4koQBEEQBMFCRFwJgiAIgiBY\niIgrQRAEQRAECxFxJQiCIAiCYCEirgRBEAQhBl4vvPFGukchZAoirgRBEAQhBm1tcMst6R6FkCmI\nuBIEQRCEGOzYAbOz6R6FkCnI8jeCIAiCEAWXCxoa1O8LF9I9GiFVyPI3giAIgpAknnsO6uuVuBIE\nI4i4EgRBEIQo7NgBf/InIq4E40gsKAiCIAg6zM4q12r/fmhuVrMGbak8cwppQ2JBQRAEQUgCv/kN\nrF0LTU1gt4t7JRhDxJUgCIIg6LBjB9x2m/o7L0/ElWAMiQUFQRAEIQLT02qW4JEj6ndZGXR1QUVF\nukcmpIJkx4IPAv3AwRjbbQbcwB/GMxBBEARBmE889RRceaUSVgD5+eJcCcYwIq5+CNwcYxs78M/A\nU6TWDRMEIY10dcGhQ+kehSAkh8BIECQWFIxjRFy9CIzE2OYzwCPAYMIjEgQhY9ixA+6+O92jEATr\nmZ6GXbvg/e/3XyfiSjCKFQXtS4Bbge/PXZbCKkFYIIyPw8svg5RTCtnG0BCUlEBtrf+6vDxZAkcw\nhhXi6jvAF1CiyobEgoKwYJiYgL4+6OxM90gEwVpmZ1WNVSDiXAlGybVgHxuBh+b+rgHeDbiAx0M3\n3L59+8W/W1tbaW1tteDhBUFIF+PjqqHiyy9DS0u6RyMI1iHiauHR1tZGW1ubJfsy6jItA3YCl8XY\n7odz2z0a4TZpxSAIWca2bdDeDps2wX33pXs0gmAdBw/Chz6kfmts3Aj3369e70L2k0grBiPO1c+B\nt6JcqW7gbiBv7rb743lQQRCyg4kJeNe74PEwn1oQMpvZWeVUBSLOlWAUI+Jqm4n9fSzegQiCkHmM\nj8PWrfCv/wpjY6rJoiBkAxILCokgy98IghA3ExNQVQUbNsBrr6V7NIJgHXriSmYLCkYQcSUIQtyM\nj0NpKWzZAi+9lO7RCIJ1uFwSCwrxI+JKEIS4mZgAhwPe8hY1Y1AQsgWJBYVEEHElCELcTEwo5+q6\n61Qs6PGke0SCYA0iroREEHElCEJc+HxKXJWUQE2NWtxW1hkUsgWXK1xcycLNglFEXAmCEBdTU1BQ\nALlzc44lGhSyCWnFICSCiCtBEOJCiwQ1RFwJ2YTEgkIiiLgSBCEuxsdVMbuGzBgUsglpxSAkgogr\nQRDiItS5WrMGRkehtzd9YxIEq4hUcyXOlWAUEVeCIMSF1uNKIydHzRp85ZX0jUkQrEJqroREEHEl\nCEJcaD2uAtm6FXbtSs94BMFKIsWCMltQMIqIK0EQ4iI0FgS44w549FHo6EjPmATBKqSgXUgEEVeC\nIMRFaCwIqt/VZz4D27enZUiCYBmy/I2QCCKuBEGIi0ixIMDnPgdPPQWHD6d+TIJgFTJbUEgEEVeC\nIMRFpFgQoKwM/u7v4MtfTv2YBMEqJBYUEkHElSAIcREpFtT49KfVWoN79qR2TIJgFdKKQUgEEVeC\nIMSFXiwIUFSknKt/+IfUjkkQrCJSKwaZLSgYRcSVIAhxEc25Arj9djVr8PnnUzcmQbAKiQWFRBBx\nJQhCXERzrkCdiD72MXjyydSNSRCsQsSVkAhGxNWDQD9wUOf2DwP7gQPAS8Dl1gxNEIT5jF5BeyBl\nZTA1lZrxCIKVSM2VkAhGxNUPgZuj3N4B3IASVV8D/tOCcQmCMM+JFQsCFBbC9HRqxiMIVqK3/I20\nYhCMYERcvQiMRLn9FeDC3N+vAY2JDkoQhPlPrFgQRFwJmYvEgkIiWF1zdTsgFRaCsAAwEgsWFYm4\nEjITWVtQSIRcC/d1I/BxYIveBtsD1sRobW2ltbXVwocXBCGVSCwoZDOy/M3Co62tjba2Nkv2ZZW4\nuhx4AFWbpRshbpcFxwQha5BYUMhmJBZceISaPvfcc0/c+7IiFmwGHgU+ApyyYH+CIMxzPB4lmoqL\no28n4krIVERcCYlgxLn6OfBWoAboBu4GNLP0fuArQCXw/bnrXMDV1g5TEIT5hNMJJSVgs0XfTsSV\nkKnotWKQ2YKCEYyIq20xbr9j7kcQhAWCkWJ2UOJK+lwJmYheKwZxrgQjSId2QRBMY6SYHcS5EjIX\niQWFRBBxJQiCaYwUs4OIKyFzkVYMQiKIuBIEwTRGY0HpcyVkKrL8TTBuN1y4EHs7QSHiShAE00gs\nKGQ7UnMVzK9+BXfeme5RZA4irgRBMI3RWLCgQIkrny/5YxIEK5Gaq2CGh2FoKN2jyBxEXAmCYBqj\nzlVuLuTkqEhBEDIJPXG1UFsxjI1JLGgGEVeCIJjGaM0VSDQoZB5er2qUmxvSrGghO1cirswh4koQ\nBNMYjQVBxJWQeWjrCoY2yV3IswVFXJlDxJUgCKYxGguCNBIVMo9IkSCIcyXiyjgirgRBMI0Z50ra\nMQiZRqQ2DAB2u4oMvd7UjyndjI3BzIz6EWIj4koQBNOYda5EXAmZRKQ2DKBiwoXqXo2Nqd/iXhlD\nxJUgCKaRgnYhm9GLBWHhzhgUcWUOEVeCIJhGCtqFbCaWuFqozlVhoYgro4i4EgTBNBILCtmMXs0V\nLNwZg2Nj0NTkd7CE6Ii4EgTBNBILCtmMXs0VLGznqqlJnCujiLgSBME0EgsK2YzEgsF4PDA5CYsX\ni7gyiogrQRBMI32uhGxGxFUwExNQUgIVFSKujCLiShAE00ifKyGb0Tq0R2IhzhYcG4OyMigvF3Fl\nFBFXgiCYYnZWNVHU+2YfisSCQqYhzlUwIq7MY0RcPQj0AwejbPN/gZPAfuAqC8YlCMI8RStmD113\nTQ8RV0KmEU1cLcTZguPjIq7MYkRc/RC4Ocrt/wdYCawC/hz4vgXjEgRhnmImEgQRV0LmEa0VgzhX\n6R5NZmBEXL0IjES5/b3Aj+f+fg2oABYlOC5BEOYpZorZQcSVkHlIK4ZgRFyZx4qaqyVAd8DlHqDR\ngv0KgjAPMdPjCkRcCZmH1FwFI+LKPLkW7Se0+sIXaaPt27df/Lu1tZXW1laLHl4QhFQhsaCQ7Yi4\nCmahiKu2tjba2tos2ZcV4uos0BRwuXHuujACxZUgCJlJPLGg9LkSMolYNVfSiiE7CTV97rnnnrj3\nZUUs+Djw0bm/rwVGUbMLBUHIQszGgtLnSsg0pOYqmIUirqzEiHP1c+CtQA2qtupuQHvZ3Q88iZox\neApwAh+zfpiCIMwXxsclFhSyG2nFEMzYGKxerbq0z85Gb7IqKIyIq20Gtrkr0YEIgpAZSEG7kO1I\nzVUwmnNls6nfY2NQXZ3uUc1vpEO7IAimkIJ2IduRPlfBaOIKJBo0iogrQRBMIX2uhGxnIdZcHT4M\n3/525NtEXJlHxJUgCKaQWFDIdmLFgtk4W/DgQfjVryLfNjbmd6tFXBlDxJUgCKaQWFDIdhZiLOh0\nwsBA5NvEuTKPiCtBEEwhfa6EbCdaLJitswUnJ42Jq7IyEVdGEHElCIIppM+VkO0sxNmCTieMjIRH\nnj6fxILxIOJKEARTSJ8rIdtZqOIKYGgo+PrpafU/a8+HiCtjiLgSBMEUUtAuZDsLseZqclL9HhwM\nvj4wEgQRV0YRcSUIginMFrRrNSpeb/LGJMwPDh5UMVKmsxBbMWjOVWjdlYir+BBxJQiCKcwWtNts\nUFAAMzPJG5MwP7jpJjh7Nt2jSJyF2IpBc65EXFmDiCtBEAzj85mPBUGiwYXC+Lg6GWc6C3FtQacT\nFi82Jq6y4RgnGxFXgiAYZnpanVxyjaxKGoCIq+zH41HuZDaceBdizZXTCcuXi3NlFWkRV893Ps/+\nvv3peGhBEBLAbCSoIeIq+9FipfHx9I7DChZizdXkpIgrK0mLuPrnJ3Zw/3NPpeOhBUFIgHgiQVC9\nrqSRaHajFURng3O1UFsxLFsmswWtIi3iqqN7kmMdE+l4aEEQEsBsjysNca6yn2wSVxIL+hFxFR9p\nEVfTXicTs1ngHQvCAiNe50rEVfajiauFEAtm62zBZctii6vSUrWtx5PS4WUcaRFXM14nTpc4V4KQ\naYi4EvTIJudqoc4WNCKucnKUe50NxzmZpEVczfommfJkwdcbQVhgSCwo6JFtBe0LLRacnIT6enC7\n/UIZgtcV1JBoMDZpEVcum5MprzhXgpBpiHMl6JFNztVCq7nS2mgUFUFdXXBRe6hzBSKujGBEXN0M\nHANOAp+PcHsN8BTwJnAI+LNYO3TbnMz4suDrjSAsMKQVg6BHNomrhdaKYXISiovVagoirqwhlriy\nA99DCay1wDbg0pBt7gL2AVcCrcC9QNQWg56cSWYR50oQMg2JBQU9nE6orpZYMBOZnISSEvV3XV1w\n3ZWIq/iIJa6uBk4BpwEX8BBwa8g2vYD21JcBw4A72k69dieunCx4BwrCAiNecSV9rrIfpxMaGrLH\nuVpI4srpVM4VQG1tsLgaHw8XV2VlIq5iEUtcLQG6Ay73zF0XyAPAOuAcsB/4bKwH9eY68eSIcyUI\nmYY4V4Ie2SSuYtVcZVsrBnGurCfWCmE+A/v4IqreqhVYAfwGuAIIs6a2b9+O1+eFF2fwNI2aHKog\nCOlmYkLElRAZp1PNNuvsTPdIEsPjUQuU2+2Rb8/GVgyBzlVdHfT1+W/TE1fZIKJDaWtro62tzZJ9\nxRJXZ4GmgMtNKPcqkLcA/zj3dzvQCawB9obubPv27Yw4x/ma+17Im8Lr85Jjk7WjBSFTEOdK0GNy\nMjucq2iRIGRvLBjoXB04oP52udTzUVQUvH22Oletra20trZevHzPPffEva9YymYvsApYBuQDtwGP\nh2xzDHj73N+LUMKqQ2+HQ2NObC4HuIoZm3LqbSYIwjxExJWgh+ZcZXpBe7RIELJTXIXGgtpsQa3e\nymYL3j5bxZWVxHKu3KjZgE+jZg7+F3AUuHPu9vuBrwM/RNVb5QB/B5zX2+HQmJMcTzFeoH90gori\nOD6pBUFICyKuBD2cTqipUf2SXC79VgbznWhtGCA7xVVoLKjVXEWKBEHElRFiiSuAXXM/gdwf8PcQ\n8B6jD3h+bJIcTwn47AyMjrNmcYPRuwqCkGZEXAl6OJ2qB5rDoV4nVVXpHlF8LPRYMHC2oIir+El5\nwdOI00mut4RcTykDozJjUBAyCRFXgh7aCbqsLLOjQSPiKhtnC4a2YvD5RFwlghHnylJGJpzk+Urw\nks9QJr8DBWEBEm+Hdulzlf1o4irTF/WNVXOVrbMFNeeqqEh9GbpwQcRVIqTcuRqdnCTPVkw+pZwf\nF+dKEDIFny/cufrfw//L1373tZj3Fecq+9GKorPBuTJSc+Uz0qgoQwgsaAd/3ZWIq/hJubi6MOmk\nwFZCgc3BeWcGvwMFYYExM6NmDRUU+K/b17uP+/beh8friXrfTBVXX/sa/Pa36R5FZhAYC2aycxUr\nFszJUT+e6C/5jCKwoB38MwbHxiKXAYi4ik3KxdXYtJOCnBKKckoZnRTnShAyhUj1Vv3Ofvom+mg7\n3Rb1vpkqrvbtg2PH0j2KzCBbYsFY4gqyr6g9MBaE2M6Vw6EaCnu9qRtjppFycTU+7aTQXkxxroML\nU+JcCUKmEElc9U300bqslZ8f+nnU+2aquHI6YVQWkzCE5n5keiwYq+YKsk9cBRa0g7+oXU9c2e1K\njGXycU42KRdXEzOTFOWWUJJXytiMOFeCkCnoiavPXvNZfnnsl8y4Z3Tvm6nianJSxJURfL7sigVj\n9ejKNnFl1rkCiQZjkXJx5Zx1UpxbQmmeg/EZkb2CkCnoxYIbGzZyWd1lPHXqKd37pktc7dqlor14\nyXTn6lOfgp7QBcuSwOysqkPKy/P3ucpUjMSC+fnZ1Y7BbEE7iLiKRerFlctJSX4xjsJSnC5xrgQh\nUwgVV16flwHnAHUldWxbv43/OfQ/uvdNl7j6znfgiSfiv3+mi6unn4ajR5P/OIEn50x3rhZiLBip\noH1gwL/8TSSydfFmq0i5uJpyT1KaX0J5oQOnO4O/3gjCAmNiIlhcDU8OU1ZQRkFuAR9Y+wGeOvWU\nrhudjj5XPh/s2QN9ffHvI9NjwZER6O9P/uMExkrZUNAusaB/tqA4V/GRenHlceIoLKGiuJRprzhX\ngpAphDpX/c5+FpUsAqC6uJqtzVt57PhjEe+bDueqvV2Ji97e+PeRqHN14UL6pux7verxtaVMkkng\nyTnTC9oX4mzBeGLBsjIRV9FIubia8TpxFBRTWeJg2pvB70BBWGCEiqu+iT7qS+svXt62fpvurMGC\nAiWuUtl4cfduaGhIr7j62Mdg5874758I4+NKYKXKudJipUyPBReiuAqNBWPNFgRxrmKRBnE1SXlx\nCVWlpcwizpUgZAqxxNWtl9zKS10vMTQ5FHbf3FxV8Ox2p2Kkij174D3viT8WdLvViTYRcTU0BJ2d\n8d8/EbRxSyxojoVacxXoXNXUwPnzyvkVcRUfKRdXsz4nFcUl1DgczNrEuRLSy7lz8P73p3sUmUFY\nLDjRHySuSvNLuXnlzfzv4f+NeP9UR4O7dytx1dsbn2M2OalOshcuxO+4jY+nZrZeJDRxJbGgOYzU\nXGXjbMFA5yo3Fyoq1HtHxFV8pFxcuWxOyouLqS0vxZ0jzpWQXg4fhmefTfcoMoPQRZv7Jvou1lxp\nfGrzp/jmS99kyhVevZ5KceVywf79cMMN6kQZz0nA6YTKSnWiibcYP53iamREnTDFuTLHQosFvV71\nviwqCr6+rk791luoXcRVdFIurty2SSpLS6grd+CxZ/DXGyErOH1anQgmROfHJCwWdAbHggA3LL2B\nDQ0b+NdX/zXs/qkUV4cPQ3Oz+tbd0BBfNKgJhoqK+KPBdDtXa9akRlyFtmLIdOdqIYmrqSklrHJC\n1EBdnRJWdnvk+4m4ik7KxZUnx0m1o4RFlaX48uSMJqSXM2fU70SKnhcKsWJBjW++45vc+8q99E0E\nK5qiotSJq9274eqr1d/19fEdXy0qKS/PTHE1MgKrV6tYMNkTCUJjwUx2rhZazVVoMbtGba1+JAiZ\nL6KTTerFld1JdVkx1RUFAEy79JfMEIRkc/q0+n3uXFqHkRFEKmhfVLoobLuVVSv52JUf40vPfSno\n+sLC1PW62rMHNm9Wf8c7YzBR58rthpkZ9djpaMcwOqqEZVFR8nt1BYqrggIVNc1k6Ef7QutzFVrM\nrlFXF74iQyCZ3ok/2aRcXPlynVSXlZCbC8yWMjgm7pWQPk6fVidfEVexiTVbMJAv3fAldp7YyZt9\nb168LpWxYKBzla5YcGJCxSqVlamJ5kIZGVGPvWhR8ovaA90Pmy2zXY2FFguGFrNr1NVFd64yvbYu\n2RgRVzcDx4CTwOd1tmkF9gGHgDa9Hbm9bshxU1WmXKsct4P+kQx9BwpZwenT8Ja3iLgyQqC4cnvd\njEyPUFtcG3HbisIKvnLDV/jc05/DN5dJpUpcOZ1w8iRcfrm6HG8sqAmGeMWVtnRIY2N6osHRUTX2\nRYuSL+5C3Y9MPvHO11iwowP+9m+t32805yqWuMpUAZ0KYokrO/A9lMBaC2wDLg3ZpgL4d+A9wHrg\nA3o7uzA5Ca4SCgpsaueeUgYviHMlpIeZGbXEw6ZNIq6MECiuBp2DVBVVYc/RqXYF7tx0J30Tffz6\nxK+B1Imrfftg/XoVT0H8saBWpJ2IuHI4oKkpPeJKc67q6lIvrjLduZqPrRheeimxdTL1CO3OrrFm\njarZ00PEVXRiiaurgVPAacAFPATcGrLNh4BfANrHR3gHQe2GMSc2dzE2pa3I8zoYHJOjI6SH7m7l\nKjQ1ibgyQqC4ihYJauTm5HL7VbfzbIfqdZEqcbV7t7/eCqyJBeOZFTU2pp6v+eBcJTsWDD1BZ3JR\n+3yNBY8eVY09rUavoP2mm+C++/TvJ+IqOrHE1RKgO+Byz9x1gawCqoDngb3An+jtbHhskhy3/x2Y\n5ytlWGquhDRx+jQsWwaLF4u4ioXPF7xwc78z8kzBUKqLqxmdUbZPqsTVnj3+eitILBa0wrlKl7gK\nrLmSWNA481VcHTmixJXVMz/1YsFYlJYqUe31WjuebCE3xu1GDmMesAF4G1AMvAK8iqrRCuK7934L\n38EJtm/fTmtrKwU2B8MTIn2F9CDiyjhTU+qEkzv3iRGpgWgkKgorGJ1OrbjavRu+/GX/5URmC2o1\nVx0d5u8fKK727zd//0TRnKu6OnjzzdjbJ0I2xYLztebq6FH1mE6nfmPPeNCLBWORk6PeH05n9FmF\nmURbWxttbW2W7CuWuDoLNAVcbsIf/2l0o6LAqbmfF4AriCCubt72UR4r2sf27dsBKPzVfzE6Kc6V\nkB5CxZXPx8XIWgjGzEzBQCoLKxmZGgFS0+dqeFjV0a1Z47+uulqdAGZm/HVYRsj0mqvR0fTMFoTM\njwXnWyuGmRnVk6+uTrlXVoorvVjQCJpDmS3iqrW1ldbW1ouX77nnnrj3FSsW3IuK/ZYB+cBtwOMh\n2zwGXI8qfi8GrgGORNrZBeckefglcpHdwehkhn69ETIeTVw5HOpbWKaeDFKB0QaioaTaudqzBzZu\nDO4qbbMpgWG27kpzY+JtIhpPLHj2rHWLW4+MpHe2YKY6V/MxFjx5Un1W1ddbX3cVbywImX2ck00s\nceUG7gKeRgmmHcBR4M65H1BtGp4CDgCvAQ+gI65GJ53kB4ir4txSxmbEuRLSgyauQKLBWERa+sZo\nLDgyrZyrVDQRDWweGkg8dVdWtGJwOGDJEvXaMlKb8oEPgBWpxOys+ikpSd9swUz9smJEXKV6tuCR\nI7B2LVRVKdFsJXp9rowg4kqfWLEgwK65n0DuD7n8rbmfqFyYdJJv8x/F0nwHY9NyZIT0EElcXRra\naEQAIi/abCgWLKpMqXN1+jRce2349fHMGLQqFiwsVGJjcFC5SHr4fOokOjxs/rFC0eqtNNcuFbFg\nqHOVrmV/EmU+1lwdPao+m44dS45zVRu5XV1MRFzpk9IO7WPTTgpy/O9AR0EpTpc4V0Lq0XpcLV6s\nLotzFZ14Y8HS/FImXZO4ve6UiKvhYVVjFUo8Re1WzRYEFQ12d0ffvq9PuT1WOBOauAI1BpdLicVk\nEakVQ6aedOdjzdXRo37nympxFW9BO2T2cU42KRVX49OTFNn9R7GswIHTJUdGSD3d3Squ0WpzRFxF\nx+i6gqHk2HIoLyhndHo0ZeKqpib8+nhjQavElZGi9mPH1G8r1gHU2jCA371KZjS40GLBVIurI0eU\nc5UMcZVoQbuIq8ikVFxNzDgpyvUfxYriUiY94lwJqScwEgQRV7EIFAoz7hkmZieoKqoydF8tGkyF\nuBoasta5Ki5WsZ7NZn7soc5VKsVVoHMFyY0GvV5VS1dU5L8uk/tczbdY0O1WBe1r1iRPXCVS0J6p\nxznZpFRcOV1OinP9R7Gi2MG0V2SvkHpEXJkjUCgMOAeoK6kjx2bs40ObMZjuWDDemiuIz72KR1yt\nXGlNLBjoXEFyi9qnppQAzQl4OWRyXDTfYsHOTuW8lpSoY5qMWFCcK+tJqbiadE1Sku8XV1Wlpcz4\n5MgIqUfElTlCl74xEglqaL2ukt3nyutVoiKSuEokFoT4xZW28K1RcXXddZnnXEVyPjLZ0TA6WzBV\n4korZof56VyJuIpMasWV20lpgV8iV5c6mLVJLCikHhFX5jC7rmAgqXKuLlxQ38AjuQ6JFLRDfOIq\nsLmikYL2Y8fUTEerxFWgc5XMmqtIJ+dMd66MxIKpasWgtWGA+VfQLuJKn5SKqym3E0eB/yjWlJXi\nzpEjI6SeUHHV0ODv0i6EEyiu+p391JeYE1cj0yNJ73OlFwmCEheDg+bWQQuMS+JpJGqmoN3pVM7S\nlVdaV9Ae6FwlMxaMdHLO5IL2+VZzlQrnSmJB60mpuJrxTuIo9L8L68oduO3iXAmpJ1RcFRern2Ss\nOp8NJBoLpsK50pspCOpkWVamCt6NYkUsqD1nS5ao7ut64v3ECVVvVV1tXSuGUOcqHbFgJn5ZmW81\nV1obBph/sWAmO5TJJrXiyuekvNh/FBdVluLNlSMjpJbZWX+PK5fHxXOdzwESDUZjYmL+x4J6MwU1\nzESDLpdyuTQHw6y48vmCxVVxsTqB6Ym7Y8fgkkuUIEqGc5XqWFBb5DsVC3VbzXxqxeDzWedcHTwI\nf//34dcnGgtmqkOZbFIqrmZ9TsoD/Me6yhLIncLj9aRyGMICR+txlZsLr519jW2/2AaIuIpGWCxo\nUlyNTI2kxLmKJa6MzhjUohJtIW+z4mp6Wr2+Ah2QaEXtmrjS4sdEHZ9Q5yqZsaBerJSpJ975JK56\netTKCJqS4zoTAAAgAElEQVRQLilRjxvP++jNN2HnzvDrJRZMDikVV26bk4oA56q4KAdcxYxOOlM5\nDGGBExgJHh44zIBzgPGZcRFXUQiLBQ2sK6hRWVTJ6Ex6Y0Ew51yFfps3K65Cm65C9KJ2TVwVFChR\nlmg39UjOVSpjQcjcyMhIzVWqZgsGFrODEvvxri/Y1wdnzgQLd59P1UGKuLKeFIurSaoc/nehzQY2\nl4O+81J3JRjj/Hm44grwJGB2BomrwcMAdI52snix+RllC4XAtQUzNRY0044hVDBUVKjZiEaJJK6i\nFbVr4kp7rESjwVDnqqpKjT8ZgiCauMo058rnM15zlYrZgoGRoEYi4mpiIvi1NTWlBH1OnEpAxJU+\nqRVXOU6qSoMlst1dysAFOTqCMQ4ehAMHYPfu+PcRKK4ODRyiNL+U9vPt4lxFISgWNLiuoEaq+lxZ\nHQsmw7mKJK48Hn8HbrCm7irUubLb1XMzOJjYfiOhV7OTibGg262eq1hiI1WxYKhzBfHXXWmv/TNn\n/NclUswOIq6ikVJx5c11UlUWfCTtXgeDF8S5Eoxx9KhyPJ98Mv59hDpXN6+8mY6RDhFXUdDEgnPW\nyaxnlrKCMsP3TZVzZWUsGFqHkkxx1dWlxq05g4k6Vz5feBNRSF40mE2xoJFIEFInrvScq3jFVXFx\nsLhKpJgd/OIqE2eFJpuUiiuffZLaEHGV5y1laCzD3oFC2jh6FG691RpxNTQ5xIx7hhuab6B9RJwr\nPbxedQItLfUXs9u0Sm8DpKrPlZWxYLJqriKJq8BIUHusRNoxOJ1qOZrQaCtZRe3ZFAsaiQQhNeLK\n57Peudq4Mdy5irfeClSkaLPBzEz8+8hWUiquyHFTWRb8taAAB+cnxLkSjHHkCHz842q9rXjrozRx\ndXjgMGtr17KiaoWIqyg4nWpRXrvdfCQI/oWb8/J8F1scJINkxoJmm4iaKWgPFVeJxoKhkaBGqp2r\nTIyMjMwUhNSIq8FBJbDq6oKvT0RcXXONcko1Eo0FITOPcypIrbhylVBQEPyNtyCnlBGnHBnBGEeP\nwuWXwzveAU89Zf7+s7PqBLN4sYoE19WuY0XlCjpGOqivVx9AyTr5ZyqJNBAFKMwtxIaNGc80BQXJ\n+5abKbFgaIQSyblKRFyFFrNrJKvXlZ77kW7nyuOBb3zD3H3mk7g6eRJWr/a3A9GIR1zNzKjX5IYN\n4bFgIs4ViLjSI6XiyuYKl8hFOQ5GJsW5EmIzNqZOHE1N8H/+T3zR4KuvKtcqN1c5V+vr1rOsYhnd\nF7qx57kpLzfXxXshkEgbBo3AaDAZdVc+X+xYsLTU39wzFonGgmNj/kWbAx+/sDD8xGh1LKjnXKU6\nFkx3QfvgoGqaaWYMRmuuUtGK4dw5JchDqaw0L64GBtTxX7bM2oJ2EHGlR0rFVY4nXCIX5ZYyNi1H\nRojN0aNqRlVODtx8Mzz7rLkPOJcLPvMZuPtudfnw4GHW1a2jILeAupI6esZ6JBqMQKi4aihtML0P\nLRpMlrhyOlVsWVSkv43NZjwaDD3pFBUpJ8To2CM5VxC57iqVztVCKmjXZkZ2dBi/j5maq2S3Yjh7\nVjnsocTjXPX1qZrDpUutLWgHEVd6GBFXNwPHgJPA56NstxlwA3+ot4HdG34US/McjE2LcyXEJnCN\nrUWL1FpsL79s/P7/9m/qftu2gc/n49DAIdbVrgNQdVfSjiEigUKhd6KXBod5cZXsGYOxIkENo9Fg\nqGCw2cz1utITV6tWwaOP+i+fP6+K/BsCntJk1lwlw7nSO0GnOxbUHGiz4mq+xILnzlkvrurr1WtL\nm1iSaEE7pF9Ez1diiSs78D2UwFoLbAMu1dnun4GnAN1pRLmRxFV+KeOzcmSE2IROSzYTDZ45o+ov\n7rtPnSgHnAN4fd6LxdktFS10jHTQ0CDiKpQwcRWPc5XkXlexIkENozMGI510rBBX3/0u/Pd/q9ch\nwPHjyrUKrKtJlnOVjlgwE52rbBZXOTnBEyusigUzbVZoKoglrq4GTgGnARfwEHBrhO0+AzwCRG1R\nl0u4RC4rcOB0iXOVLLxe2LIleeuKpZIjR+ITVz4ffPrT8Nd/rdwu8EeCWksBmTGoT2gsaHa2IMwf\n52rJEhW3xCKSG2NG9OiJqyVLVJz99a/DT38aHglqj5OMmqt0xILprrnKzYX2duP3mU99rs6dU6+X\nUBIRVxAcDUosmDxiiaslQODk4Z6560K3uRX4/txl3XZi+YQfxbLCUibdcmSSxRtvqOjstdfSPZLE\nCYwFATZtUh8agVOLI/Hoo+rb69/+rf+6wwOHWV+7/uLllsoWEVc6TEwEOFfjiceCyeh1FasNg0Zz\nc3DNiR6RBIMV4gqgpQWeeQb+5m/g/vvDxVWisWA052pw0PrZsPN14ebBQbVUVrJqrpItrpJRcwXB\n4sqKWFDEVWRiiSsjfVe/A3xhblsbUWLBmd0dbN++ne3bt9PW1gZAZbGDaa84V2bo6jLeEXfnTjVD\n6fXXkzumZDM1pT5sVqzwX2e3q8L2Xbui3++zn4X/+I/gb6Sac6WhtWMQcRWOJhS8Pi8DzoG4ZgtW\nFlYmdbag0VgwtKBXj2SKK1BfEp54InKTyERjQT3nKj9f/U+JuGKRmM8F7ddem5xY0IrZgl4vnDql\nf7teLFherr7wmFlfVZwrY7S1tV3UKNu3b09oX7kxbj8LNAVcbkK5V4FsRMWFADXAu1ER4uOhO6u9\n7pqwAVeWljLtzZIjkwJmZ9W3sRdfhPXrY2+/cyf8xV9kvrg6cUJ947fbfbzc/QpvaXoLoKLBhx6C\nO++MfL/2dvXmv+GG4OsPDx7mtnW3XbysFbQ3XOHj3Dnj3ccXAtqizcOTwzgKHBTkFpjeR0VhBf3O\n/rTHgkuXxnY6IXL/HyvFFahu2cePq7gu9HESEUB6zhX4o0EjQtQo8zUWHBqCd78bHnhACRG7PfZ9\njMaCublqHUKfL7wPlVGeeUbNXj55Mvy28XElvkLbeYCqm9Ka2ho9jqHi6vnn1d9OZ+R2D2ZwOJKz\nZmU6aG1tpbW19eLle+65J+59xXKu9gKrgGVAPnAb4aKpBVg+9/MI8MkI2wBQaA9/B1aXOphFnCuj\nPPuselNF6vQcSk+POpGse9+v2fuGO/mDSyJaJHho4BBbHtxC50gnAK2t0WcMRjrp+nw+Dg8EO1eV\nhepsVFwzIs5VCJpQiLeYHeb6XE0lz7kyGgsm4lyZ6dJuRFyBmiUYukhwebkSJfHGd5HWFdRIRlH7\nfF24eXBQCYe6OmOfl2A8FrTZlMBKxL168kn1WozkQGn1VnrCzWw0GCiumpv9XzCkz1XyiCWu3MBd\nwNPAEWAHcBS4c+7HFMW5EcSVoxRXjhwZozzyiPpmZUQA7NwJrbf0c2fbrUxVvpHRokGbKbj77G5s\n2Pjhmz8EoLZWfcvXs8gjnXT7Jvqw59ipK/GvK2Gz2VhRtYKJ3HYGB9W3UkFxUVzFWW8Fc32uZpJX\n0G40FqypUY8fa8WtZMeC0bDblVMY7wlrZCS6c2WluHK71XsvktvjcKjnOV2L+g4Oqs+Hlhbj0aDR\nWBASr7vatUs9N5EmWOhFghpmxJXPl9xYMN0O5XzFSJ+rXcAaYCXwT3PX3T/3E8rHgEcjXA9AcV74\nUawtd+DOEefKCC4XPPYYrPjU5zjZE/udtXMnlF/7CF6fl8Wb9mR0NKjNFNxzbg+3X3U7D+57EI/X\nQ26u+qavF6NEcq4ODRxifV14ptpS2cKZ8Xaqq5MzqypT0YRCvDMFYf7MFrTZjBW167ViSIW4MvtY\noURzrqyeMaiJ0EgOS26uWtjX6bTu8cwwn8XVqVNKeF5zjVonNRS9YnYNM+JqYkIdn9JSdbmpSYk3\nj0cK2pNJSju0l+SHH8W6ilI8uXJkjPDcc9B85SmOVvwrR4YOR93W6YTf/x6O5u7gD1b9AXlL92a0\nuNKcqz3n9vDxqz5OY1kjT7c/DaiT6vBw5PtFcq60NQVDkaL2yFgRCya7z5XRWBCMiSu9VgxG+lx5\nPGoiRSKOQCJ1V3oF7WB9LBgrVqqstL6A3gg+n19wmxFXRmuuIDFxtWuXmozT0hJZXFnpXAW6VqAE\nb3W1egyJBZNHSsVVaX74UayvdODLncCXLu84g3jkEah/+w4AesZC5xUE85vfwOXXn+XY8CH+Yes/\nMFqcuc6V260K05eumObo4FGurL+SOzbcwQNvPACoDwq99QAjxUWHByKLq5bKFunSHoGgWDCBmqtk\nOldGY0EwVneVSCw4MaHcgNBaKjPE61y53UrY6blmyXCuojkfNTXpWatzdFSNKz9fzTA241wZqbmC\nxGYM7tqliu2XLUu9uAL/xA5ZuDl5pFRcOQrDxVVlWT5gY8o1k8qhZBxuN/zqV9BZ/BDrK66hfyp6\nhebOnVDX+gjvXfNeNi7eyJCnkz37MzN+bW9XHzQnLuxnTc0aivKKuG3dbbSdbqNvoi/qB7iuc1Wn\n41yNinMVysVY0NkXd81VKvpcGYkFIfniKtFIEOLvdTU6qmJyvUJoq2uuYjkftbXpmUmmRYKg3CGj\njUTNxoLxrC84NaVme7/jHbB8ub64itRAVCNRcaW5t+JcJY8Ui6twiWy3A7MOBkYz88SfKn73O1h0\n2SGc3lHef8ltjHj0xZXXq3ronCndwW3rbiPfns9ldeuZLN9naOmPZOJ2wy9+Ye4+gcXsVy++GgBH\ngYP3X/p+fvzmj02JK5/Px5HBI5FjQVlfMCKBzlW8NVflheWMzYyRX+C1XFxNT6uTnFZTEotY4srn\nS6zmanw88hR6M8TrXEVrwwDWx4KxCqLni7iaTzVXv/udaqdTWRldXEVzriorE3euzpyRPlfJJKXi\nqrwo8lHMcZfSPyJHJxoPPwyL3qbE0rolzUwXdOu+sffsgbKmLs5MnODtLW8HYNPiTTRsTH80+I1v\nwAc+YM690Now7Dm3h81LNl+8/o4Nd/CDfT+gqtoXteYq0NF4rvM5ivOKqS4Oz5AayxoZcA5Q2zAj\n4ioAK2qucnNyKc4rxlE9bnlMpAloo/2GYvW6crnUvkJPspEET6SZqlY4V/HWXEWrt4LkFbTrMR/E\nVW0tzMwYE6upqLnSIkFQ4ur06fBtrCxojyauZOHm5JFScVWh8y60exwMXBDnSg+PBx79pY+OIiWu\nllY2kVvVo+tCPf44NL7rf3nfJe8jz64KCDYv2Uxuc3qL2nfvVgvXVlcbWzxXI3Cm4ObFfnF1zZJr\nKLAXMF71giHn6qFDD7HtF9v4yft+EnHb3JxcmsqbsFefFnEVQOBswXhjQVDRYGmt9X3EzESCENu5\n0hMMoeJqeho2b4af/zx4u3THgtGcq4USCw4N+cWVzabqriI5RKGYqbmyQlw1NqrnZyagKsbnU85V\nQ5S3mpXiKlHnqqREfVk20zF+IZBa50pHIud5SxkaE+mrx4svQtXafeTketi0eBNNZU34yrp1F6B9\n4gnord7Bbev9Hcg3Ld7E+aL0OVdOJ3zkI0pcrV5tLnY7ehSaVl6g+0J3UK2UzWbjjg13cCD3B1EL\n2quqfHzj99/g889+nt9+9LcX3bxItFS2MFvSLuJqDrdbffD78ibweD048uNXDZVFlRRXjVoeTZuZ\nKQjKERgY0K+X0fs2X1ys7qPd75//WTWnPHYseDurnKt4xVU056qkRJ28Y/X5Mkqsk3NNTfqcq0DB\nbbTuKtmxYHu76gl15ZXqst2uaqsCndTz59VrLZqjZJW4sqKg3WZTrwGrXlPZQkrFVVVp5Hdhvs/B\n8LgcGT0eeQTqbnqID677IDabjbqSOjx5I5zuDp8E4HbD0b4Oht1naF3WevH6S2suZczby56DaZgX\njVqk9tpr4Y//WJ3cjJ5gvV518pqsfJ0r668kNyd4xaY/XvfHHJ55MmIs6PXCyKiPL732F+w4vINX\nbn+FyxZdFvXxVlSuYCKvQ8TVHBMT6oOzb0I1ELXFu9YHyrnKLxu1/Lk1M1MQVP+lhga1gkEk9OpQ\nbDZVLH7hgupT9N3vwj33hK8Pl+5YMJpzZbNZGw3GipVqa9MzWzAwFgTjdVdmYsF4ZgtqrlXgTNLQ\nuqtYxexgTUF7e7v6H4wsCxQLqbsKJ6XiqrossrgqsJUyPCFHRo/fPOvlVMEOPrj+gwDYc+yU+hZz\nNIJ1deYMFG/+X95/6fuDhIg9x86Ghqtwlr9OX1/Khg7Ar3+tPlS++1112UzB+LlzqlD56GhwJKhR\nX1rPlHecgeFwoTk6CsVNJ9h16gle+LMXWOyIUsQwR0tlC/2udkZHk7/qfSYwMREQCcZZb6VRWViJ\nrXiEwUFrIwSzsSBEjwajuTGao3TXXfCFL8CNNyZPXCXDuQJri9rnaywYr7hKdiwYGAlqhIqrWPVW\nkLi4Ki+HoqLEI0ENEVfhpFRcVZZG/opTmONgdFKcq0j4fNDlfZXy4tKgruJVuU2cHAifMXjyJHjW\nPBIUCWpsXrKZuqtSGw16PPCJT8BPfqLe0GBOXHV2qg/G0GJ2jRxbDtWFdfQ7wxXj8DCULT7HyqqV\nOAqMne1WVK6gc7SdujpSLkLnI9qizb0T8c8U1KgorGDCNUpFhbUnXLOxICQmrh58ULlen/0srFyp\n3nOBbfrSWXMVy7kCa+uu5qu4Cqy5AuO9rpLZimF62t+CIZDQXlexZgqCvzlrrPaQXq96/uvqwm9b\nujTxSFBDxFU4KRVXteWR34XF9jJGJg20Pl6AjI+D59KH+NBlHwyKZOqLG+kaDRdXx064mCw9xLWN\n14bdtnnxZuxN4UXtZj5oPR41ldhoz1ct/rvhBvV71jNLV9lDpsTV8uVKXF295OqI2zQ4GhieiSyu\nCuvMrYfXUtkiXdoDsKKBqIbW68pMLGyEaLFg+/l2hibDc6lY4krvpFNRAf/yL3DfferkWl2tYpXA\n6Gu+O1dWxoKZ0IoB5kfN1eHD6rMsVPxGigVjiau8PPUajSVohofVbL5I/9PSpeJcJZPUOldlkV+1\nNQWL6Z2QM1kkzp0DVj7NrZfcGnT90oom+ibDi0Ze7+igIqeRwtzCsNs2Ld7EcIHfuTp9Gm67TVnG\nJ07EHktPD7z97dDaGn0qeyDd3Srf1/jsrs/y/cFtdPUZcyo7O6GupZ/xmXFWVK6IuM2S8nom6AuL\nmoaGIL/SnCjQxFXDYp+IK6ybKQhzS+BMj9DQYK1w1YsFZ9wzvOun7+Lbr3w77LZo7RiiCYaqKvjw\nh/1fFkC5V4HR4HyuuYLUxoJVVapGLdULoYcWtC9dqj6/Yo0jma0Yzp1T6/qFEo+4AmPRYKRIUMNK\ncSWLN4eTUnGVnx+5GLa5opHeCEJBj7998JfsaDtg1bDmNWfP+vCUdNFS2RJ0/cq6Jobd4c7V4YFj\nLHdcEnFfK6tW4soZ59VD/Xzxi7BxI6xbBx/8IDzzTPRx/OIXavt3vAPe9S4MR4tdXf4PlPv23McL\nXS/QUNxM91j0DvManZ3grd/DpsWbdIupG0rrKaztDTsZDQ+DrcycuHIUOHAUOKho7BNxRXCPKyti\nwWQ4V3qx4Ldf+TZur5sXu14Muy3a+oLRBMO3v61cq0C0aFAjE5yrVIkru12JPb0+dMki1LkqKFD/\nd3eMj51k1lzpiabQXldGCtohXFw5nfDGG8HbRBNXzc0SCyaTlIorPVbXN3LeZUxcjU/OcO/xv+AT\nv/xLw9FUJnOyZwQ7hZTmB7efvnRJIxM53WHPQZfzGJc1RBZXNpuNzUs24q7dy9mzcOAAfOUrcOut\n0cXVXXfB5z+v+md98Ytw9dXGxVV3txJXz3U+x1d/91Ue/+DjrKleTf90jPVH5ujogNHiyMXsGg2O\nBgpr+8JmJQ0Pg7fYvChoqWwhf5G0YwBrGohqVBRWJMW5ihQL9oz1cO8r9/L4tsfZ17uPaXfwgoZG\na67cXjden/fibY2N4WJi1apg52psLHFx5XCo3kFmHZ/z543VXFk5WzCW+5Hq9QWdTlW2EDouI3VX\nyYwF9cTVokVq4ojWysBIQTuEi6uvfQ3e+c7gnlnRxNXy5Ym/TjVEXIUzL8TV2sZGxnOMORl//9NH\nKJ9Zy0zeOf7poeeTPLL0c7y3h3Iaw65fU9+Ez9ET9IJ2uWAk9xhXt0QWV6Dqrj799T38+Mfq29GR\nwSM86vsobS+PR/ygOHYMHn0U9u2Da65R123caM65Km5s50O/+BD/8/7/YUXVClpqljJb1GWoL0pn\nJ3R59OutQM0YzKvoC/t2PDwMrgLzcdaKyhX4KqQdA/g7flsSCxZVJs25Co0F/+43f8cnN32Syxdd\nzqW1l7L33N6g25ublfD3egkjsPfPJ3Z+gp8f/Hn4RgEkIxbU2j6Yda8CnWI9rI4FY7kfqa670orZ\nQ41uI3VXZsSV2VYMvb2RG4PabKqoXXOv4okFz56FBx5Qr+tf/tK/TTRx9Z73hLuw8SLiKpx5Ia42\nrGxktuAsPgNW1E+OfY8/v+Kv+OS6L/P1l7bj8WS3fdUx1EN1frhH3FzehK08uJHo6dOQV3+M9fX6\n4mrT4k280bcXj9fDt17+Fm/90VvZO/B7aq59hldfDd/+4YfVcjWBJwtNXBlxDru6vfy36//jK2/9\nCjctvwmApeXNlC7pinmCnZmB/gEfh0YizxTUqC+tB0dvROdq0m7ecWmpbGGqSJwrULV4q1Yltq6g\nhhYLJqPmKtC5euHMC/y+6/f8/da/B2Br81ZePBMcDRYXqzqRSCIj0I05PnSc13ujf5NYtcr6WBDM\nR4OTk6q+Se9kqpFq5ypeceXxKHfF7FqUoZGghpF2DGZrrszMFowmmrS6K49HHZtYxxCCxdVXvwq3\n367ag/znf/q3iSauCgqUqLMCEVfhzAtxtWxJMcyW0DMS3Tt+6IW9TOb0cs+HbuFfProNd3Ev9/y4\nLTWDTBNnx3tYXBruXNWW1OLNH6Ojy//Jc+KED0/lcS6pieJcLdnMqz2v8tYfvZWdJ3by2h2v8dfX\n/jWlV/06YjT48MPwR3+k/h6bGePu5+9m6y+WQ+EF3SaMgbQP9OL0DfLJTZ+8eF1zeTN5tbHFVVcX\n1K86i91mj9qjqqG0AU9ReCw4NATjPnOzBUE5V6M5Iq5AOZcrV7sYmR6htjjCGcsElYWVjEyNWOpc\nud3qQ12rM3J73Xxm12f41ju/RXGeslSub74+Yt2VXjQYKBi6LnRxaOBQ1DGEtmOwYuFmMN+OobNT\nnSxzYnyqW1lzZWTh33jF1dmz6gtjpLX3ohFazK5hRFylo+YK/OJqYECJJiNj0MTViRMqXfjCF1SJ\nx6FDfrEfTVxZiYircOaFuMrJgbzpRva1Rz9bb3/ye9zo+BSFBXby7Ll89sov862923G5ste9Gpju\nYWlluLjKseVQ4lnC4W6/dbXvxCC59hxqivU7KjaVNbG6ejUfWPsBnv/T52mpbOGW1bfQXfQkz/wm\nOCM5flwJlI3XTPOdV7/Dqu+uonO0k4rCCpZd/6qhaLB7op2WyhVBxehLy5dC2ZmY4qWzE6ouOcLa\n2rVRt6svrWc2L1xcDYxMMeuborIwRhFKCC2VLQy6JBYE9RqoWTpAbXEt9pzEWjknw7nSaow0QfHg\nvgepLqrmj9b+0cVtrm++npe7X8bjDZ5OGk1cFReDy+Oid6I3prjSXDPNRUiXc6W1LYlFZaUaoxHX\n5e674U//FD79aVV3+Y//qHo1aTNzk+lcaTPojPSnCkTPuZqvNVfgF1dGi9lBHcfz5+HLX4bPfU6J\nrYICdbx+8AO1TarElcwWDMeouLoZOAacBD4f4fYPA/uBA8BLwOVmB1LqbeTgGf26q46+QU7YHuNf\nP3L7xev+/9u2gaOXLz6QvbVXo56zrFoULq4AKnKaONHvf87e6DpGQ56+awWqqP3l21/mr679K3Js\n6vAvr1zO4vJaDo3sDppx9/DD8L4PzLDhP6/kt52/5dk/eZafvO8nvHvluylc/VJMcTU1BRP57ayp\nC57p2FzezExhlyFxVdR01JC4cub0MTQcLLIHnH3UFC4yvWTLiqoVnBlvZ2JCNf5bqIyPq8gtpzzx\nSBD84qq+Xn1Dj1TvZJbQSPDJk0/yyU2fDDrmdSV11JfWc3DgYNB99WYMam5Mz1gPix2LcbqcDE/q\nT3ez2YKjQSvFlZl2DEbFVU6OMcHj88G3vgXXX68WTq+qUmLvM59RJ+w/+zPlQM43cRXaQFQjGbGg\nUXHlcikhFKmZJ/gbiRotZgd1PH77WyV2//Iv/dd/4hPwox8poSjOVfowIq7swPdQAmstsA24NGSb\nDuAGlKj6GvCfmKQqt5GT/frO1ed++l80T76P9Sv8n6R59lz+9uqv8N2D25mezj73yucDp72HtY2R\nxdWiwiZOn/eLq+PDx1hVGV1c6fGeNbdQf8Ovee45/3UPPwxVWx+hqbyJndt2XlyXb0vTFi6UxRZX\nPT3gaOpgZVVwf6rGskac9nP0nIu+BkpHB3iqjnJpTejLLZiivCLybUWcOx98Jhqe7aU+jhluDaUN\njM+Ms6hpwvJFhvv71QdfJnDihFpku99pPlqNRGl+KdPuaWx2F+Xl1hQ5h84U3N+/nyvrrwzbbmvz\nVn7f9fug6/R6XWluTNeFLpaWL2V93XpD0aBW1J4u56qjw5i4AmNF7f396nn4xCf8M4b/5V/gzTdh\nzx5Ve3nTTbFP3vHOFuzsVI5IYA8oI+g5V9XVKkaOJliTFQv296sx6a3jF+hcmRFXb76pnKtAgbt6\nNaxdC489JuIqnRgRV1cDp4DTgAt4CLg1ZJtXAK3F+msQYXpbDBqKmzh9PrK4cnncPDl4H194211h\nt335fR/EXt7P138WXlOR6YyOAuU9rKiN7BM3ljdybsL/nJ2dOcaVjfGJq1tW38J0s7/u6vhx9SH1\n7IXvcdfm4Of9LU1voWN6N3v3uaIWtXd3Q359e1jzz4LcAhz2ajoGoiuXzk4YLzjKpbXRxRVAVX49\n5yQV24MAACAASURBVMb8Xdp9Phj19NJYYV4U2Gw2llcup7LF+miwrU1FLJnwQXTsGFxyiTXrCoJ6\nXq3udRU4U3B0epShySFWVIU3m41UdxWr5qrrQhdLK5ayvja2uNLaMWjT4AsK4vp3goin5qqlJfZ2\nYKzuqqNDf3/LlikHa8eO5DlXHR3w1rfGFwtGqrmy2WK7V8maLRhLNGm9rsw4V0uWKCF1xx3ht/35\nn6u1XMfHlQhLNiKuwjEirpYAgXldz9x1etwOPGl2IEsrG+l1RhZX33xsJ3ZnE3e+Z0PYbbk5uVxZ\n9F5+f+Zlsw857zl3DnD00FgWWauurGli2KUOzewsjBcc47pV8Ymr6xqvYzK3hyd/r3pnPfwwbP3j\n1zk3cY5bVt8StG1lUSXLKpfiqtpPhLWjL9LVBZ7y9rAGqAANxc2cGY3e5r2zE/rcR2I6VwC1RfUM\nTvnFldMJttI+GsvjEwUrKldQ3Gh9UXt7u4qdHnnE2v0mA01cWdHjSsPquqvAWPBA/wHW162/GHcH\nsnWpmjEYOCM5Vs3VmQtnaC5rNuxcnTwZ7lp94dkvhM1UNEqyYkEwNmMwmrgyQyKx4NveZl3NFcSu\nu0pWzVUscVVZqcTf4cPGxdXVV6vi9UhO2/vep/ZVVxd7goMViLgKx8jTbiZvuxH4OJHrsqKysq6R\nYZ1Goj987WHe0/ixsL4lGmvrVtM5ZmD9lgzjVPc42N1UFEZuuXzpkiYu2JS46uyEnLrobRiiYc+x\nc8uadzPe8ATt7UpcjV/673xy0ycjFjJvadpC/dXRo8Hubpgs6IjoJCytaKZvKrq4au8dwmtzGar3\nWVzWwPCs3woZHobC2vhFQUtlC/Ya652r9nbV4f7HP7Z2vxo+n3V1YseOwZo11rRh0KgsUkvgWOVc\nBcaC+/v2c+Wi8EgQYHnFcmw2Gx0j/jOrnrjSaq66LnTRXD4nrgaNxYKh4urRo4/yH6//h+n/C8zF\ngj6f9bHgfBJXZhpGRxNXsZyrZLViOHcuco+rQJYvh5deMl7Qro0hEoWFqrA9FZEgiLiKhBFxdRYI\nbEvXhHKvQrkceAB4LxDx+9b27dsv/rS1tQXdtr5ZdRyPRK/7CO+6/CrdAV69Yg2D3uwTV0e6z1Lq\nadQtyF7f3MhMQQ8eDxw6PoW3pJdlFcvifrxbVt+CY+Ov+d73oO/CMK+M/pLbr7o94rZbmrdga44u\nrk51j+HNmWJRyaKw21bVNTPs0e/SPjYGkyVHWVt7qaGC9KbKei54/M7V8DDkVcVfK7SicgVuR3Kc\nq7/8S/Wt0mwtiRHuvRc+8hFr9nUxFnQm3kBUw2rnSqtlAVVvdUX9FRG3s9lsYdFgZaUqqg8VMGGx\n4JxzFa0PnxYLBoqrKdcUXRe6eOLEE0zMGltLMxAzseDwsDrRxlr6RiPRWNAMWs2VGYE0Pa3uc+ml\nSiiYEWd6Be0Qu5FosmquentjO1LLlys30ahzFYu/+itVK5cKHI7smC3Y1tYWpFMSwYi42gusApYB\n+cBtwOMh2zQDjwIfQdVnRSRw0K2trUG3XbWikZnCnrAPMLfHw2TRCd6xQd+Rab1sNc6i41m3HM6p\ngR4q7Prlay3VqpHowAC8euIkFd4V5Obkxv1471r5LoZKX+C7/zHJyj/6Ie9d815qSyJ/Sl3ffD39\n+S+x93X9J/3kUDsNhS0RxdGq2qX4yrp0v+10dkLV6tgzBTWWVtczbfcv3jw8DDZH/I5LS2ULzvzk\nOFeXXqrWc/zJT6zd9+SkKjh+5ZXE9+XxKLGwerVyrqyKBQN7XVnx3P7ud3DddervN/ve5IpFkcUV\nhBe122yRZwwGxYLlzdSW1JJvz+fcuP6Aa2pUsfSZM35xdWzoGCurVnJ98/X86tivTP9vZpwrM5Eg\nGIsF29utEVcFBer5vHAh9rYaZ86oTvN2u/q/IrlNbreqNwpdIigR5ypdsSD4j59V4qq5Wc3oTAWa\nc5Xp5+DW1taUiis3cBfwNHAE2AEcBe6c+wH4ClAJfB/YB+w2O5DlS0rBVci50eBlvl853knO1CKa\n6/WrJlfWL8KWO8PhjhhLhGcYZ0Z6qCvU94hrimsgb5L2rkn2nz1GU1F8kaBGRWEFG+s34V3+DJ01\n9/HpzZ/W3XZ5xXLseV72nDytu03XRAfLKyJ/OjeXN1NQq9+OobMTCpuMFbMDLClrIK/Kv3jz8DB4\niuIXBSuqVnAea52r6Wl1QmtqUh96P/6xNe0INB54ALZsUSIr0Q7cp0+r6KikxJpFmzUCnatEY8H+\nfnWivO461Tz06NDRizNaI7G1eauhona1/I3vYiwIxKy7stlUNPjGG35xdXjwMOvq1vGRyz/CTw/8\n1PT/Z6bmykwkCKmNBcF8NBgoFltaIru8J07Af/2XitI0XC61Rp+egzdfa65A/b+5ufrCcD6Tn6/G\nvpBb14RitNRtF7AGWAn809x198/9ANwBVANXzf3oLwSnN5C5RqJvnApOHJ87cIQKV/QTrM1mo2R6\nNS8cOhl1u2Tx/e9jqFu5WXqd+sXsoP7vItcSDpzupn3sGJfUrEn4Mf9w/S00/tnnaayqibqen81m\n44ZlW5iufSmiAPH5YNDdztqG8HorUOKKCv1Gop2d4Kk0VswOqtdVboW/kejQEMzkxx8LLqtYxuBs\nF2d7Ta6cG4XOTvVtMjcXNmxQ3+Z///vY9zPCzIxyrb70JbjqKrUWZCIcP64iQZ/PR/9Ev+WxoBXO\n1dNPq5qc3Fw4MXyCJY4lYQucB7K+bj39E/30T/hVxerVcPRo8HZOJ8zaz5Nvz6esQLVaNzpjcN++\nAHE1cJj1tet575r38mrPq/RN9EW9fyhmnSszQiiWczU1pb6gmKn/iUZNTWLiKpIg0l7jO3f6rxsa\nUrPj9Iq4m5vVjDw9UWSm5srK2YKgZmA2NKSmAD0ZSN1VMPPqMJZ6GjnUFVx3tef0EZqKYkdDdfbV\n7OlMT93V37V9hv+744Dl+x2a7aGlJnpXi3JbE8d6e+h3H2PTssScK1B1Vz3TJ6K6VhpbmrZQcXnk\nuqvRUfBVtLO2PrK4WlqhFm+OJq7GDLZhACWufKV+cTUw7GYmZ5i6Ep2ufTEozC2ktriOs+PWqeaO\nDvXNGZTT8ad/al1h+49+BFdcoUTbVVcpByURtHqrkekRivKKKMwttGScdSV1avahBc7VU0/BzTer\nv9/se1O33krDnmPnLU1vCYoGr79eNWHU8PmUuBp0nbnoWgGGi9oDxdWhwUOsq1tHcV4xt15yKzsO\n7TD1/5mpuYonFozmXJ0+rVw9vb5MZknUudITV3/4h+HiKprzk5+vBEyk/maQvJorI+Jq82b42MeM\n7W8+IuIqmHklrqpymzjRF3wyOzFyhPV1scXV8rLVHBtIvbgaHfUxsfQhHj9hvqYiFmOc5ZLF0cVV\nXUETJ/u7mSw+xpZLEhdXq6tXc+877+W29bfF3Pb65uuZqYssrrQeV5HaMICqvSHHTfvZyIUYJ89M\nMMmQWirHAA2lDbgLexmea6R99vwgJTnVCdWgrapewUyJ6tRuBe3tfnEFqvD80UfVyTwRXC74xjeU\nawXWOFcX2zBYOFMQ4IpFV7Cvbx/19erkHm8s6vHAM8/4xVW0mYKBvL3l7Tzd/vTFy1u3KvdQq9Wb\nmVGC4pyzK1xcGXCuurpCnKu69QB85LKP8NOD0aNBj9fDO//7nbzao1ZQN+Nc6cWCN//0Zvae2xt2\nfW2tEiJ6z7+VkaD2eMkQV7ffrmLA48fVddHqrTT09ufzqfotM+LKyGzBmRlVbxap91YgixbBPfcY\ne+z5iIirYOaVuKovbgxrJNrrOsp1K2OLq8sXr+GM83iyhqbLC/v6oGSIU95nwworE8Hng5n8HtY3\nRxdXSxyNHOrugprjrFuUeCwI8LnrPmfIqbiy/krGczt59c3wM0BXF3jLO8IaiGrYbDaq7M2c7I88\nQ/TE+WMsc6w2vJ5ddXE1bvsYvYOqi+O58V6q8hKLsloqWyhf1hHksPh88XcWb2+HuuUD/HDfDwH1\nDfq66+CXv0xomPzsZ+qEoRV2b9hgnbiyqoGoxoaGDezr3Udevpeysvg6dwPs3aueP23xgmgzBQO5\nZfUtPHHyiYsTZxYtUtPVD86tjBPYhiFQ2K+rW8eRwSN4ffpqcOVK9dvhgInZCfom+i6+/m9afhM9\nYz0cH9L/jPrBGz/g2Y5neerUU4CaJef1GqtjiRQLdl/o5un2p7l/7/1h2+flqe7n53XKVOe7uPL5\n1Gt8wwa45Ra/e2VEXOnVXblc6nkxulqWUeeqr0+9zjI17jNKtswYtIp5dbhDG4l6vF4mio7yzqti\nR0PXrl7NeVvqnatnD+6nduYafPVv8NLuBC2IAIaHgfIeWmqiFz0sr2qix/YK+d6Ki/UhqSLPnseV\ndZvY3Rs+Pe10l4uZgrMsrdB3nuqLlnJ6NLwdg88HPdNHuazBWCQIcwtZ++o4M6QKSQYme6kpSsxx\nWVG5gsKG4KL2735XxSW//a35/bW3w2DVTm5//HYO9KsY+aMfhf/5n/jH6PHA17/ud61A9aY6d87c\n7KxQLva4mrBm6RuN6uJqqoqqOHX+VEJ1V4GRIMSeKaixuno1JXklvNn35sXrbrgBXnhB/a21YTgz\nGhwLlhWUUVNcQ+eIfv8MTVyVlcHRwaOsqVlz8cuBPcfOtvXb+NnBn0W87/DkMF9p+wpfu/FrvNyt\nGiLbbMbcK49H1XwuDXmr7Tq1ixuX3cgjRx/BORv+2RStqD1ecTXtjqwENafMKIHiqqlJCZRAl6ir\nS81CrK+H97wnWFzFcoj0nCszxexgXFyZWdImkykrE+cqkHklrlYtCm4kuq+jG9tsBSubymPet/Wy\nVcyUnGTWZeH0KwPs7T7ApY7raPBt5Edt1i3B09k9Dfljuq0QNNY0NEHzC9TaEo8E4+GmlVtw1b90\ncdFajUM9ZyizNZBv1/+0ai5vptcZXvwwMAA59Ue4osFYGwaNcnsD3SOqaHh4NvH2AS2VLVDlF1cn\nTsBXvwr//u+qlYK2VJBR2tthKO911tet52+e+Rt8Ph833qhaJxiNxzweeOIJFQN++MNw+eXKwQns\nbGK3w2WXwf795sanMTys3JKGBth7bi9ra8wdh1hsXLyR18+9nlDd1a5d8O53q7/7J/pxeV1RJ38E\n8ger/oBfn/j1xcuRxFXXWFdYJB0rGqyrU9/eHY65mYK164Ju//BlH+ZnB38WsV/WPzz3D9y27jbu\n3HQnr519DY9X5ZRG6q56epSgCF1y56lTT/Hxqz7OlqYtPHIkfEmAaHVX8bRhmPXMsvQ7Szk8cDjs\ntkjOlculirhDrx8bU1Ga5kDl5qrC+sBZnW++qeJvUJMa9u1Tr9tYNVeg3+vKTL0VGBdXRnpcZQMS\nCwYzr8TV+qYmxm3+mOjZ/Ucon7nUkE1bV16G3V3G7qMWNyaKwamJ/VzdfAU3NL2N50/HYWfocPDM\nWQpciyMu5RHIZUsbIX+S5aXpEVdbl16PY91LQUWlACeHOlhcGDkS1FhZ28ywO1xcdXZCYaPxYnaN\n6oJ6+ibU2fqCp5emysTE1YqqFcwWq15XHo9qn7B9uyo6/eUvVc3UU08Z25fXq4qE26de599u/jfO\nXDjD0+1Ps2gRlJcTJk71+PGPVXPAoSF4xztUr6xnngmPMhKJBrWZgjYbPHnySf5g9R/EtyMdNtRv\n4I3eN+J2roaH1Qy/LVvU5f39+7li0RWGms2CigZ/fTJcXPl8WhsGgtowaMSaMai1Y3A44NDAoYv1\nVhobGjaQb8/n3/f8e1C8uPfcXh47/hhfvfGr1BTX0FDacPFxKiq4WEeoR6Ri9lnPLM91Psc7V7yT\nj1/1cR5888Gw+0WbMRg4+cIor/a8yoBzgIcOPRR2WyRxdeCAEkyBi8WD+n+WLQt+TYe2Y9i3zy+u\niorgxhuV4E6k5qq93R8zG8HobMGF4lyJuApmXomr0EaiuzuOsKTA+Ldmh2s1Lx5NXTTo88Fw7gHe\necXlfHTr2+jO/e3FhVsT5fi5s5QZWP96fZNqnr++IT3i6rrG6xgp2sOvfh0cB5wZb2d5RfRP53VL\nljJuPxPWeK6zE9yVRw23YdCoK/avL+jM6WV5TYLiqnIFY7ntnOv1ce+9qgbmU59St11/vVp1/qMf\nVU5SLM6ehfIqF0eGDrF5yWa++fZv8jfP/A1ur5trroHdBjvDPfMMfPGL8K1vKbG3cWOwY9Ez1sPL\n3S8nVNSu1VudHD7JxOyEobjNDBsXb+T13vidq9/8Ri3oq/3fRiNBja1Lt3J86PjFlgzNzcqtOn5c\nPxYEYzMG3/c+1SQ2knNls9nY8YEd/PeB/+aGH97Agf4DeH1e7nryLr5+09cvLnO1pWkLL3Wr5k3X\nXadEQzQi1Vu93P0yq6pXUVdSxy2rb+HY0DFODgcreL1Y0Pf/2jvzuKjK/Y+/h311YUcRERFQFE1c\nUkvNNRW3Ms3SSivzl97MW9csTa2uV9OsTDPLNbVMW7QwNdEszSU3ENlUwARUEEER2Rme3x+PAzPM\nDMwgbnXerxcvmDNnzpz5MjPP53xXYX71IcCu5F308e/DprhNet45Q60YDh6Uto6M1H89VZ+7qiCK\nioJ2WvULmtCgqTlXycn6DS/37ZPvK1NRwoK6KOJKl3tKXDVr7AxqKy7d9IMnZMebFZJoZBNI1Pk7\nJ67OpRVT3iCJh4Nb0TuoEyqXZHbuq2WGbhVSrqTjZl2zuHJ1cMFCbU/3lndHXNW3q0/Hxh04em2n\nTnJsVlkyLb2qjyu08PCF+ql6uUFnU0ootDlPC9cWZp1Lo3pe5JRmUFICZXYZNHO/NXHlYu+CykKw\n58BVFi6E1at1k1K7dJEC67nnqLGiMDkZvNrE4dfADycbJ4YEDcHNwY3VUavp1An+/LPm8ykvl7le\nffoYvr+gtIDwr8N5/qfnb6kdg8ZztSNpBwNbDDTZI2Qq7b2l58rbW9TKc6UdEgTpuWrnVXOloAYb\nSxv6Nu/LjqRK1aLxXuXng51TEVeLrurlmplSMfj229Chg6wUDPEI0bs/1DOUg+MPMjZ0LH3W9WHg\nV9K+z7Z7tmKfbr6V4urFF+X7rrpF3FCl4I6zOxgQMKDi9Y5pM4a10Wt19jEWFszMlKJHe0aiKexK\n3sVbD71FWXmZTk4bGPZcHToEkyZJcaUtdEwVVw9oTUQbNEheeFy8WLO40gxJrtqgdd8++T4wFUVc\n6aKIK13uKXGlaSQadbOR6MWSBDo3N11cBbgEcjr7zlUM7jiagGOxP3ZWdlhbWuNn8TAb/thbJ8dO\nv56Ol2PNHfxUKhXjOjxFn9bGZy/ebp4OHY1L940VV9hqNeRZpfCAX/WeK9/6vqga6Pe6ikk/i6tV\n02rztQwez8WbPHGJnBywbHCJRreYiK1SqWjs0JyTqcn8738yVFFcVqxT2t6li7zaXbWq+mMlJ4ND\nwDE6NOpQcexF/RYx+7fZtG6fZ5LnKjpaDilu0kT/PiEEE7dNJMQjhLziPKy9E0lKql3HZI3n6uez\nPzOwxUDzD1ADHo4eONs6Y+GaYrbnqrxcNg/t379y28kM0yoFtTGWd5WfD6r66TR2bqwXkg92CyYp\nJ4kSdQlCCLaf3U6PtT3Yfna7zn65RbnkFOYYnfNpaWHJSx1eIvblWAJdA/ki/Aud5+rapGtFUnur\nVlJYVOcdNSRGdiRViiuAcQ+M48uTX1bkcoHxsGBtktmzC7JJvJJI1yZdGRkykk1xuj29DImrgwdh\n/PjKUUvVvR5tcZWdLYs1tM/R21s2hD10qOaEdpVKX6yVl8t+Zw8/bOILxvRWDP8kcaVUC1ZyT4kr\nkI1EY1LTEEKQZxdPv3ami6t2PkFcKLpznqt9Z07S2LryS72Pf2/+uGh+3tXRo/rzsTIL02na0LQE\ngJVDVspROHeJEa1GcNVlJ99HSPdNZiZYuiUT7FG9uGrs3Bi1fQap6bqXf6dz4mlez7yQIIC/hxcF\nFrKR6K3MFdSmpac/j09I5oUX5CDeYZuG0X1Nd17++WUKSwsBeOMN+PDDmr0Lpe7HCfMOq9gW1iiM\nvv59+bVkAbGxNQuh3buNe62WH1tOVEYUX4R/wdCgoWxP2UKLFhBbvaPFIImJ4BuQz8G0g/TxN/KE\nt0iYdxhX7Y+b7bmKjpY5apqFtaisiOSryWaHkAcEDGB3ym5K1HJ17N5dzinMzwdRTz8kCGBvbY9v\nfV8+PfIpnVZ24o3db9DWsy0LDizQ2S8+K56W7i1rzJf0cPTgkwGf6I3sCXINIq84r2KW4YQJ8MUX\nxo9TNSyYfj2dC3kXdCYstPZoTeN6jdmVXFmFYSwsWBtxtefcHro37Y6tlS2jQkaxOW6zTmjQ0bEy\npw1kmPzGDSmI+vTRDQ0aCnNqzxeMjpYNc6u2Nhg8WIokU8bHVE1qj42VoszbjOsxxXOli+K50uWe\nE1cuVk04m5FOXOolUNvQurmryY/tFhxIrtWdE1enLsfQ2i204va4nr3JdNxjclPIc+cEncduo9MX\nnflwg+4qeLU8nQAPM7Ir7yKuDq50bfIQO8/9REkJnD8vKG+QbLTHlQZrS2vs1Z7Ep+musOnFCYSa\nWSkI0NzTi1LbDDIzBWV2ddOfqaVnc9r3SqGwrIAh3wyhgV0D0qamkVOYQ8cVHYm9HEvHjvLLelM1\nDbiTkyHb9piOuAKY2X0m62JX0iKwvMbqvshImcRelcPph5n922x+GPkDjjaODG85nK2ntxoMDV64\nUH1+l/z/QarFr3Rs1PG2tfcI8w7jQvkJsz1XW7botmCIuxxHoGsgtla2xh9kAE8nT4Ldgtl/Xlb4\nBgTIC5z4eChzTDXaQqRDow6siV7D9G7TOTnxJIv6LeJM9hmdcKGhZHZzUKlUdG3SlQOpMjT4xBMy\nbFx1BqKGqmHBX5J+oV/zfno94sa3001sNxYWrE2l4K7kXfRr3g+Q/e+sLKx0PLwqla736tAh6NpV\nbu/bV144GHs9oOtpqhoS1DB4sPxdk+cK9HtdmRsSBPPElTmi7X7F11dWVCtI7jlxpWkkuvtkPE6F\nrUxu6AbwUIg/ZQ5p5N4wwVdbB6SVxPBwYKXnqmPT1lg5Xuf7PUa+BW9SUgJT5sYS9N/+nAuYRlig\nD58e1r00zbe4QCtzSlfuMs+Fjca2w0Z+/x3i/srCClvq29XcQqOhhS+nMysrBgsL4bpNAp38zfdc\n+dT3xqLeJWLOXsUSO+yt7c0+RlX8G/oTkxlD+NfheDl5sX74elwdXNn4+EZe6/Iaj3z5CGui1vDG\nG7BggfGp8GdTSrhYGqeXGxToGoiLvQvNHjpSregpLITDhyGsax5ro9ey6sQqVketZnXUakZ+O5IV\ng1dU5Kj1aNqDpJwkmrW9oJPUXl4uW0gMGyaPZ4jkZBl2jPxrO4Na1G2VoDbtvdtz5sZxMjJMb0OR\nmCjneL7ySuU2TaVgbQgPDK8IDapUcnHdsQOK7VPxrafvuQL4ctiXnJx4ksdbPY6FygJrS2smhE1g\n2dFlFfsYSmY3F+3QoL29bLuxWr/gj4ICmTuk7RmpGhLU8GTrJ4lMjiQrXyqc6sKC5lQKCiF0xJVK\npWJUyKhqQ4MHD0pxBdJztXevFLdCyKraquLKxUXed/WqcXEVGiqT2k1pp1A1LFiduFKXq8nKzyIh\nK0GnKMAUcVVYKL2hrqb7CO5bevaUF3OmThX4u3PPiaumDX24eCOdw8nxNLYxz3vhYGuDdaEP+04Z\nb/RXV5SWCm44nmRQWKXnykJlQZBNLzYeNhwazMgQTJp/GLfxz7O8sBczRgzhwsyTrB/zAWkNNpL0\nlyw1VKuh1C6dUL/7R1wNDRpKocc+vt2Ww8m0ZBpi2rezh50v53KkGFWr5SJSPyCBUDMaiGrwdPRE\nOGYQnXwJx/K6uVRs7tKcTXGbaNqgKWuHrq0Yp6NSqRj3wDj+GPcH0/dMxz30BCqV8dYMZ3NjadbA\nH0cbR737hgUNo9h/a7VJ7QcOyN5Vn8XM57Njn3Eg7QD7U/ezP3U/b3d/m6HBQyv2tba0ZlCLQVzz\n2qojrpYulb87dZIixRAJCRAULNietP225FtpCGsURlTGcZycRY2tBkAuvM8+K/uMaRZ+IQTfxn/L\ngz4P1uocBrUYpNeSISYGCmwMhwUBrCys9BL8J4RN4JvYb7heLBNO4rLibslzBboVgyAT21et0k8f\n0MwA1ITIStWl7Dm3h/7N+1OV+nb1GRI0hHUn1wGVYcGqFwTmhgU1ea5BrpUTIka1lqFB7ZYT2hWD\n2uLK01MK+mPHpNizt9dPptfOk6paKai9T3i4aeesLa6EMCyu0q+n4/exH7b/taXlpy0Zvmk4HVZ0\nIK9Yxr5sbGoO5V+6JL1WdVwTck/i4CBtaGp7mr8795y4CvCQjUTjsuIJdjU/NNSwPJCDp29/Uvuh\nU5lYWJYT4KkbTB8Y3JsjWZXiKj8fVn9/ntb/N5fG84LZcONZRg/w5+JbicweMBlrS2taejfD26IN\nb2/4CYCLGaXgmIWvS93NdLvdONs6071xP75P+J4zWcl419DjSoNvvaZczE9FCJg8Ga7eKKTI8QzB\nbuZXPzraOGIhbIjNSKC+Rd2Iqwd9HmTpgKWsGrLK4CieILcgFvZdyAsRz/Pv/5Ty/vv6x7h6FUrc\njtO5SQeDzzEseBiJYmu1nqvISHikbxEro1ayfvh6Vg9dzZqha1gzdA0vhr2ot//w4OFEFW7h1Cm5\nICclSWGyejW89x68/75+hWNpqez23nFgHBYqi1r9D0zFy8kLe2t73APOm5R39cEHcsGdOLFy27Kj\ny7hScIUX2r9Qq3No59WOgtICzmTLWIZmcc23NB4WNEQj50b08e9TIVpiL8fesueqQ6MOxGXFUVAq\nk5TatJECpGpbhqrJ34fSD+Hf0B9PJ0+Dx50QNoEVJ1YghMDRUTacrfo+MFdcabxW2qKztUdrZ+d4\nYAAAF+VJREFUnG2dK+YkQqXnqrBQjhvqoPVx0IQGq2sB4e8vc6P++ksm+t8K2jlXZ89KoVS1w/3q\nqNX0b96f4pnFXJl2hcTJifT068kPCT8AsieWlZVuSLMq/5QGohrCw2Hbtpr3+ydwz4mr1r5NyLNI\nI70ogY5+5n+CfOwDiblQfeC37dQZjPzvBqMhHFPYGX0Sl9JQvavY8Y/05mqDX5nx7nVajl5L/Vd6\n8dKJMFybXWDX/63j2nuJfP70DFwdXHQe92KHcfyUugYhIPZ8BlYl7rc0dPhu8FLX0RT4f8OxlGSa\nNTDt27m5my9XSlN57z04cPwapSMf5YmQJ3CycarVOdiVeXOuMAoXm7oRV042TkzqNKna5OSxoWPx\ncvIi1Wchf/2l31YhORmcWujnW2kIaxRGiSqPC8WJRme9RUaCCPmG9t7tCXQNrPG8+zXvx4nMI3j6\n5ZCYKAfcvvWWHC7cpg306iVH+Wjz3ntyAbRrs52BAXXfgqEq7b3bY+d/vMa8q9hYWLRIem40HprY\ny7HM+X0OXz/2tdlVpRpUKhWPBT/GF8dlSD4kRJbpX1fpNxCtiUkdJ7Hs6DKyC7IpKC0wuVu8Meyt\n7Wnj0YajF45WbDOU2F5VjGi3YDBEtybdsFBZsD9V5pp5euqGxwoLZTWeOYJAOySozaiQUWyKrQwN\nasTV8ePS1g4Olfv27Svf49WJq2bNZOuT4GDzxtQYwtdXCp+Sksr+Vtpvd3W5mlVRq5jYYaLORdXY\n0LGsi5Ei2sZGvi+nTDEeHvynJLNrCA+XFwB1OWf3fuWeE1cP+PtQbJvGdZt4+rQ1X1wFuwWRdM24\nuProu4PE2axla95MOr82j9LS2imsI3/F4O8Yqrc9yKMZ9R0dWKj2oX7nLax9eRI33rnA79OW0Tu4\ns9EF6z/hj1Pkdpgff71AXFo6jur7JySoYVDgQIRnFDmOB2jlZZrnqmVjXy4Xp7Jq8yXUY3sQ1rgd\na4auqfU5OOHFVbsoPG5xrqA5qFQqlg9azuIjH/LUlATmztW9PzkZ1J7HK9owVMVCZcHQoKF49viR\no0f1779yBZKSBTtyPuFfnf5l0jk52jjSq1kv3LttY9Ik+eU/ZQpcyrvEyYyTzJkjKxw1PcYOH4bP\nP5eerR23OSSoIcw7DOFVfcVgaals1DpvXqVnobC0kNHfj2Zh34Vm90KryszuM/ny5JfEZ8VjYQHd\ne5RzTaTRpJ6BfhfV0L1pdyxUFiw9spQQ95A6EaZVQ4MjR8rw8MaNVBTNaCd/F5cVszl+M+GBxmNj\nKpWKCWETKgTlhAnw739X5r1pwoyWps1Lp7ismH3n99G7WW+9+0aGjOTb+G8r2j9o5gtqhwQ1PPyw\nzNeJja3ec7Vzp+F8K3OxtpYjdVJTDYcEI1MicXdw5wFv3ScLDwwnOiOatFw5SWToUBn2W77c8PP8\n08SVj48Urof0x83+47jnxJV/43ogVJSryggLMuzaro72foFklBoWV8Ul5by1/xVeabmA2FcPkmD1\nDQFTJpN7XW1w/+o4nXuSMB/DibQHJ20jfVoSh1/9kTFhj5tUyeRo40AHhxHM/XkdSZkXaGhx/4kr\nOys7engNgeaRNfa40vCAX1OsfWIof64bY9o9ycePflxjCXt1NLDyAq8oGtW7s+U5TRs05Z2e7/Cr\n0/PEJ6p1+hKdTirmhn18tb2YhgUPo9jPcN7Vnj3QZuBBbpTm8WjAo/o7GGF48HBuNNnCn3/CmjWQ\nkB1L55Wd6b2uN6UNYxk0CD76SC7UY8fCsmXg0DCXE5dO8EizR8x5+bWivXd7btQ7UW2F0bx5cjjv\n889XbpsWOY1W7q14tu2zxh9oIp5Onrzd/W3+teNfCCGYvySL+nZOBnPjqkOlUjGp4yTmH5h/yyFB\nDdrNREG2M9iwAdaulQv2qFHw22+VIbyPDn9EK/dWNeagjQ0dy7Yz28guyOa11+T/XyMOzK0UPJR+\niGC3YFwd9DO2g92C8W/oz9en5GRyjefKkLhydJRhwvXrqxdXhYV1I640x0tJMSyuVpxYwYvt9cPt\ndlZ2jGg5omIAt0oFixdLr6+hwdT/NHEFuoO0/8ncc+LKwkKFdaEPjgWtsLQ0/+qve0ggN2wMf1s/\nt3gNtla2fPDMUwR6N+KvWfspq3+aptNGsGt/tllhwsuqGHqH6HuuAFq6t8TD0cPsc585aDwnytdw\nJjMND7v7T1wB/OuRJwEIa2baN3QLj6ZYOGUzu9dbvPnwm7d8xe9m6w3OGbc8V7A2/F/H/8PaypL+\nM5fy8suVuSzH02LxsG6Og7WD0cf29OtJrnUi+6L0Y2SRkVDYZgmTO042S3gODhpMquUevtpcwEWb\nvfT6shfz+8xn8aOLGbxxMC//5zJLlkjvRdeu8PjjclHp5tut2nOtK8K8w7hmf5wVKwWG0iSjomQS\n/ooVlSGbjac2EnEmguWDltdZ2PLlji9zpeAKm+M2k6dKxbeBeSFBDWNCx2BtYX3LyewaujbpyqG0\nQzpJ4QMHyiaqSUlyYLGPD3TsCGm5aXxw8AMWP7q4xuO6OrgSHhjO+pj1WFlJsTZrlhRW2vlWQgg+\nP/Y5M/bMYNbeWcz5bQ5z980l4nQE2QWyCsFYSFDDvN7zmPXbLIrLinXEVZcu+vv27QtpadWLKzCc\nzF4b/P1llWJhoey3pSHzRia/nvuV0W1GG3zcM22fYX3M+oo+XiEhsgr37bf19/2ntGHQRsm7ktxz\n4grAqbwJ3pa1y1hsH9CYcptrpGfpdjM7dzGXzVkz+XzYJ1hYyC9lV6d6pLy3nTZ+3gzY6Y/9xF70\nmr6EH/emVVsenn2tmBKns/RvXzdXqBrC23XG3s6S/TmbaORcc3f2e5H+LXozMWwivg1NO/96tvXI\n+k9WrZOSq6JpHHqrcwVrg4XKglVDVvFt5lyC+v/GrFlye+L1Y7R2MRwS1GBjaUNvv0f582qEjsgX\nAnYcuEAyu3iu3XNmnY+LvQudfDrys5jMqO9GsWnEJp5q8xRPhz7N022eZuqfwxk2oog//oAFHxYx\nIUImO3/Y70MzX3ntaOTcCBsrS159O51nntHN0ygultWBixbJ8M2VgiuM+WEMM/fO5PuR39PQvmGd\nnYeVhRVLByzl9cjXicuKMzvfSoOzrTNLBiyps5Cql5MXDe0b8kfqH3r3ubtLUfzTTzKM99qu15jU\ncRL+DU27qNGEBoUQBAfLfLxx46Ro01RjropaxeI/F2NvbV+R/5lXkseSI0totrgZrT5txaqoVdWK\nq4ebPkyIewjLjy3H3V3mI9raGp4yoGmQa0xcNW0qG8i2NbHzxv7z+2m2uBnLjy3XEagamjeXg8+7\nd9fNt1obvZbHgh8z2uOta5OuFJUVceJSZRO5d96BH35Ar1fdP9Fz1aED5OToNmlVMMyjQCJwFnjD\nyD6f3Lz/JGDMaStMJWDqBBH+7icm718Vu6mhYt3uYzrb2k77t2j5xvNGH5NfXCAW79wqQmc9Kyzf\ndBVWk9uKNlOni3fW/i6yskt09l2/K1rYvday1udXHU8ve18wBzF1zVe35fh/d/61ao1gDmJ/Yvxd\nO4fdybuF2/vuwiUoVhw7JoTjky+KOduX1Pi4jae+EbbjB4iUlMptMTFCOA2ZKSb9PLlW5/LZ0c9E\n40WNRUxGjM52dblajNg8Qjy5aYzYF3tWtFveToz8dqS4XnS9Vs9TWwZsGCC+j9sievcWYu7cyu0z\nZggxdKgQanW52BS7SXh94CWm7pwqbhTfuG3nMvaHscLrAy8xZceU2/Yc5vJd3HfCbYGb+PzY56K8\nvNzgPpHJkcLvYz9RUFJg8nHLy8tF0JIgsf/8fiGEEGVlQnTrJoSDgxBbtggRdSlKuC1wEwlZCQYf\nX6ouFScunhDroteJUnVptc8VkxEjPBd6imOnrgsQYuRIw/uVlQkxZIgQRUXydk5Bjpj16yyRlZ9V\nsU9+vmmv79iFY8J9gbv44tgX4sGVD4qHVj+k91o2bxYChPhEa6kpLy8XAZ8EiENph6o9/qxfZ+m9\nTz77TIhOnYS4fLlyW3CwELGxpp3z34nx44X4+OO7fRa3DnALZW/VYwkkAX6ANRANVG1ANBDQDNfq\nDBzGMCa/oJMJeeJCRnGtDRI4bZywebWVaDftNTF9dYRYvu1PoXrDTSSkZpr0+FJ1qdh08A/Rb/4M\nUe/19oLpDUTwq1PE71EXhBBCjFv8pfB7/clan191pGRdFMyyFF/88rvO9r17996W5/u7sejHnYI5\niMvXcyq23Q3brYteJ1zfaypadb4gVC+1F/v/qv7LWgghcotyhdXbzmL1V7kiL0+I2bOFaOheKJzf\n8RCJWYm1Og91udrooptfki/CPg8TTv9zEkv+XGJ08b6d9pu7b67osrKLOBB3Tri5CREdLcSRI0J4\negoRnXRRDPtmmGi5tGWNi11dcCnvkqg3r55YdHBRnR73Vu2XmJUoQj8LFaO+HSVyi3J17isuKxbB\nS4PF1oStZh/3gwMfiLE/jK24feaMFFeHo6+JgE8CxFcxdXeBN/aHsWLa9tkCdBdddbna4P7xl+NF\nwCcBoseaHsJrkpc4lXlKb5+i0iKxO3m3nuCOuxwnPBd6ii0JW4QQQpSpy8SSP5cI1/ddxbu/vSuK\ny+TacuyYFFfR0ZWP/TXlV9F6WWujnwUNZ7PPCo+FHqKkrPLCu6xMiGnThGjUSIjt2+W2evWEyMkx\ncpA7wN1aN7ZsEaJPn7vy1HUKt1FcdQG0W4JNv/mjzXJglNbtRMBQJvodM0hBcbFY8ct+0X/ue8J1\nah/BDHvx+MLay+i4tDTR9Z2pQjW9oWgxZZJo8soYMWDu/+rwjHWZ98tKkVuo60GYPXv2bXu+vxNb\nD0ULZtrqfDneLdu99/t/hdPr7YRqpr3JXoXAdx4VLYZtEm4t40XI5LdF00UBYsTmEbftHLPyswwu\nXNrcTvuVqcvE+3+8L9wWuIlnlywXrduUi+CW5WLi8tXCfYG7mLlnpigqLbptz1+VPSl7xPlr5+v0\nmHVhv4KSAjExYqJovri5mLJjinj3t3fFp0c+FS9ve1kM2DCgRjFgiKz8LFF/Xn3xXdx3Ir9EuoSu\nXCkXIzaPEBMjJt7yOWuTkpMiXN53ERbOmeLIESlkJ/08Sdi+ZysGfz1YRCZHVryGiNMRwn2Bu1gT\ntUYIIcTwicOF+wJ3EXE6QgghRElZiVhxfIVo+lFT0WZZG+HyvouY/PNkcSrzlEjJSRE+H/qIddHr\n9M4h9VqqGPTVIBHyaYg4lHZI5OYK0b69FEUaRn83Wnx8yLS1osvKLmLb6W162/fuFcLXV4gXXxTC\nzk4I7X9NmbpMXMq7JKIuRYmdZ3eKiNMRIrsg2+hzlJeXi5yCHBF3OU7sTt4tIpMjK/5XpnC3vvvy\n8oRwdhYiN7fmfe9luAVxVVMjpcZAmtbtdKR3qqZ9fAADU6vuDPY2NrzQ7yFe6PcQMJMytRrLqlM+\nzaCVjw8HZn1ISuZ0xq9YxL6itUwNufVKJWNM7/d8zTspGKR7m+b0PzTptvdoMoUZD79FbNpfHDqP\nyaN4RrQZyvtl43HpXJ9+D4xidOuvjbZwqAvcHNzu6tBvSwtLpnWbRnhgOM9ufZbL/b5HpYI/ucKu\nsbv0xgXdbno163VHn89U7K3t+Sz8M/ak7CEmM4bswmxOZZ7iRukNlg5cWqv3u5uDGyuHrGT58eWM\n/2k8ff374unoScrVFNYPX1+n59+sYTPGtBnD0Rlv8sM1L75YtpxnQp/h9OTTRKZEMvWXqajL1XRv\n2p2IMxH8+OSPdGkis95DPUN5Y/QbPLb5MYYFDeOX5F/wa+DHxsc30qVJF1JzU1l5YiX9N/TnevF1\n5veez9i2Y/XOoUn9JkSMjmBz3GaGbxrOE62e4LeDczmXm8mB1AMcSDvA9rPbWTpwqUmv6Zm2z7D0\n6FK8nb1p7NwYd0d3LFQW9Owpc68mTZL5Y+dz/+LHxB/ZenorB9MO0sCuAV5OXnKiBIKnvn+KQNdA\nejfrTYhHCMk5ySRcSSA+K57kq8nYWNrg7eSNt7M3pepSYjJj6ObbjYEBA+napCs2ljZYWlhiqbLE\n2tIaJxsnnG2csbOyQwhBQWkBVwuvcrXoKiXqElztXXF3dK8oWhFCkF+az7WiaxSXFeNk44STjRMO\n1g61/h51coJu3WDXLhgxolaHuO+pyXKPI3OuNDWpY5DiSrvZTgQwH9DUDO8GpgFVRsZyUwje/5So\nS7C2sL6jC/icOXOYM2fOHXu+vxN303bqcjVXi66aLGCKyoqIzoimY6OOBjvC3w3ulP3Kysv48ODH\nqFQqXn3wFawtTRgSdx9wP3x2rxRc4afTP7Hv/D5m9ZhlcmK8OWTlZ9FqWSuGBA5hds/ZOoUDQgh+\nP/87EacjmNplqk4TVo390q+nM2//PJ4IeYKefj31jl+qLiXlagpBbkF691UlpzCH13e9zoaYDXg4\nevCQ70N0a9KNvs37mjyZ4FrRNV6MeJGknCTSr6dzvfg6no6eONo4Ym9lj4O1A7lF18nIv8TgwMEM\nDx5OH/8+ehdaJeoSDqcfZk/KHk5nn6aFSwtaureklXsrWri00GsLcq3oGrtTdrP97HaOXzqOulyN\nWqhRl6spUZeQX5rPjZIblKhLYC/Y9LGhoV1DGto3xNrCmuzCbLLys7BQWWBvbc/14uvYWtrSwK4B\nNpY23Ci5QV5JHiXqEuyt7LG2tMbKwsrsn4tpVtTL6s+hj141yZ73IjfX+Fot9DU96EFgDlJgAbwJ\nlAPaQz6WA78B39y8nQj0QN9zlQQmDpxTUFBQUFBQULi7JAMBt+PAVjcP7gfYUHNC+4MYT2hXUFBQ\nUFBQUFAABgCnkZ6nN29ue+nmj4alN+8/CbS/o2enoKCgoKCgoKCgoKCgoKCgoKBQW0xpQqpQSRNg\nLxAHxAKv3NzuAkQCZ4BdQIO7cnb3D5ZAFLLgAhT7mUoD4DsgAYhHFrAotjOdN5Gf3VPA14Ativ2q\nYzUyP/eU1rbq7PUmci1JBIy3hv/nYMh+C5Gf35PAD0B9rfsU+1ViyHYaXkPml7tobbunbGdKE1IF\nXbwATf25EzIk2xJYgKzCBClS59/5U7uv+DfwFfDTzduK/UzjS2D8zb+tkF/Miu1Mww9IQQoqgE3A\nsyj2q46HkVM9tBc4Y/ZqhVxDrJG2TuIeHeF2BzFkv75U2mU+iv2MYch2IB0cO4FzVIqre852pjQh\nVaierUAfdJuzet28rWAYH2RLkEeo9Fwp9quZ+khxUBXFdqbhgrwYaogUphHIhU6xX/X4obvAGbPX\nm+hGP3Yii6j+6fhh2PsCMBzYcPNvxX76+KFvu2+BUHTFldm2u93Ky1CD0ftzIvHdwQ+prP9Eftlo\n2ltkYrgLvoLkI+A/SLeuBsV+NdMMyALWIPvUrQAcUWxnKjnAIiAVuAhcQ4a3FPuZhzF7NUKuIRqU\n9aRmxlNZza/Yr2aGIu0SU2W72ba73eLq79E19O7gBHwPTAHyqtx3W2ce3eeEA5eR+VbG+rgp9jOM\nFbLad9nN3/noe5oV2xmnOfAq8qKoEfIzPKbKPor9zKMmeym2NM4MoASZ+2cMxX6VOABvAbO1tlXX\nC7Ra291ucXUBGb/U0ARd9adgGGuksFqPDAuCvILzuvm3N1JAKOjTFRiCdOluBHoh7ajYr2bSb/4c\nvXn7O6TIykCxnSl0AA4C2UAZMpm4C4r9zMXYZ7XqeuJzc5uCPs8he1A+rbVNsV/1NEdeGJ1Erh8+\nwHGk5/Ses50pTUgVdFEB65ChLW0WUBnznY6SFGsKPajMuVLsZxr7gMCbf89B2k2xnWm0RVb42iM/\nx18Ck1DsVxN+6Ce0G7KXJqnYBhnCTqaWo0n+Zviha79HkRWrVWduKfbTxw/j+WqGEtrvKdsZakKq\nYJyHkLlC0cjQVhTyw+KCTNJWyrlNpweV1YKK/UyjLdJzpV3GrdjOdKZR2YrhS6QXWrGfcTYi89NK\nkPm546jeXm8h15JEoP8dPdN7k6r2G49sF3CeyvVjmdb+iv0q0diumMr3njYp6LZiUGynoKCgoKCg\noKCgoKCgoKCgoKCgoKCgoKCgoKCgoKCgoKCgoKCgoKCgoKCgoKCgoKCgoKCgoKCgoKCgoKCgoKCg\noKCgoKCgoKCgoKCgoKCgoKCg8Hfi/wFYUUrn5zmQgQAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot(Pxx[:,10])\n", "plot(Pxx2[:,10]/4.0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Difference equation:\n", "\n", "$$y(n) = b_0x(n) + b_1x(n-1) + ... + b_Mx(n-M)$$\n", "\n", "for this simple filter:\n", "\n", "$$y(n) = x(n) + x(n-1)$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You can estimate the effect of frequency from the difference equation!" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAlwAAAEKCAYAAADHI4vHAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nSZKkCbPhkiRJmjAbLkmSpAn7/4yta9WaK1+bAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from scipy.signal import freqz\n", "frq, resp = freqz([1,1])\n", "semilogy(frq, abs(resp))\n", "title('Frequency Response')\n", "grid()\n" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAl4AAAEKCAYAAADD1lv6AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nrkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot(frq, angle(resp))\n", "title('Phase Response')\n", "grid()" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAloAAAEACAYAAABrptjmAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\ngg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "filtered2 = (sig + 0.5*r_[0,sig[:-1]])\n", "Pxx3, freqs, times, im = specgram(filtered2);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$$y(n) = x(n) + 0.5 \\cdot x(n-1)$$" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAlcAAAEACAYAAACeWFNWAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJztnXm4HVWV9n+LEMhAQhICCSSBIIMNihC0EQElItiIinZL\nKzjj0LRz6+fn1N2CU2t/bdtqO+HYjuCMqKDiEBuUQYUEkEFQgTCHIGOYWd8fe1dS99w6p8Yz1Lnv\n73nuc++p6ey7T52qt9619trm7gghhBBCiGbYbNgNEEIIIYQYJySuhBBCCCEaROJKCCGEEKJBJK6E\nEEIIIRpE4koIIYQQokEkroQQQgghGqSnuDKzGWZ2rpmtNrNLzOz9Xbb7qJldYWZrzGxFf5oqhBBC\nCDH6bN5rpbvfa2ZPdvcNZrY5cJaZHeTuZyXbmNkRwK7uvpuZPR74JLB/f5sthBBCCDGa5IYF3X1D\n/HMLYBpwa8cmRwJfjNueC8wzs0VNNlIIIYQQoi3kiisz28zMVgM3Ab9w90s6NlkCrE29vhZY2lwT\nhRBCCCHaQxHn6mF334cgmJ5kZiszNrPO3RpomxBCCCFE6+iZc5XG3W83sx8CjwNWpVZdByxLvV4a\nl03AzCS4hBBCCNEa3L3TPCpET3FlZguBB939NjObCRwGvKtjs1OB1wInm9n+wG3uflOTjRRgZie4\n+wnDbkcbUd/VQ/1XD/VfddR39VD/1aOOKZTnXG0PfNHMNiOEEL/s7j8zs+MA3P1Edz/NzI4wsyuB\nu4FjqzZGCCGEEKLt5JViuAjYN2P5iR2vX9twu4QQQgghWokqtLeHVcNuQItZNewGtJxVw25Ay1k1\n7Aa0mFXDbkDLWTXsBkxVzH0weeZm5sq5EkIIIUQbqKNb5FwJIYQQQjSIxJUQQgghRINIXAkhhBBC\nNIjElRBCCCFEg0hcCSGEEEI0iMSVEEIIIUSDSFwJIYQQQjSIxJUQQgghRINIXAkhhBBCNIjElRBC\nCCFEg0hcCSGEEEI0iMSVEEIIIUSDSFwJIYQQQjSIxJUQQgghRINIXAkhhBBCNIjElRBCCCFEg0hc\nCSGEEEI0iMSVEEIIIUSDSFwJIYQQQjSIxJUQQgghRINIXAkhhBBCNIjElRBCCCFEg0hciYFixlZm\nvGHY7RBCCCH6hcSVGDSPAf5p2I0QQggh+oXElRg0S4Eth90IIYQQol9IXIlBsxSYMexGCCGEEP2i\np7gys2Vm9gsz+72ZXWxmr8/YZqWZ3W5mF8Sff+lfc8UYsAw5V0IIIcaYzXPWPwC80d1Xm9lWwO/M\n7Ax3v7Rju1+6+5H9aaIYM+RcCSGEGGt6OlfufqO7r45/3wVcCuyQsan1oW1iPFkKbGaWK+yFEEKI\nVlI458rMlgMrgHM7VjlwgJmtMbPTzGzP5ponxpBl8bfcKyGEEGNJIfcghgS/BbwhOlhpzgeWufsG\nM3sacAqwe7PNFONAdKu2A+4k5F11nktCCCFE68kVV2Y2Hfg28BV3P6Vzvbvfmfr7dDP7hJktcPdb\nM451QurlKndfVanVoq1sD9wS/1ZSuxBCiJHBzFYCKxs5lrv3eiMDvgisd/c3dtlmEXCzu7uZ7Qd8\nw92XZ2zn7q7crCmMGU8APgxsCxzqzp+G3CQhhBAikzq6Jc+5OhB4IXChmV0Ql70D2BHA3U8EjgJe\nZWYPAhuAo6s0REwJlgLXAnORcyWEEGJM6elcNfpGcq6mPGa8CdgJeBLwMncuyNlFCCGEGAp1dIsq\ntItBshRYC9yHnCshhBBjisSVGCTLCGHBe1EpBiGEEGOKxJUYJHKuhBBCjD0SV2KQJAntcq6EEEKM\nLRJXYiDEAqKLgOuRcyWEEGKMkbgSg2IxcIs7DyDnSgghxBgjcSUGRRISBDlXQgghxhiJKzEokpGC\nEMSVnCshhBBjicSVGBTJSEEIYUE5V0IIIcYSiSsxKORcCSGEmBJIXIlBIedKCCHElEDiSgyKzoR2\nOVdCCCHGEokrMSjSYUE5V0IIIcYWiSvRdzoKiIKcKyGEEGOMxJUYBIuB9e7cH1/LuRJCCDG2SFyJ\nQZBOZgc5V0IIIcYYiSsxCNLJ7CDnSgghxBgjcSUGQTqZHTT9jRBCiDFG4koMgs6woCZuFkIIMbZI\nXIlB0BkWlHMlhBBibJG4EoOgMywo50oIIcTY0kpxZcaOsXaSaAdZowXlXAkhhBhLWimugK8BTxx2\nI0Q+Zkwj1Lm6PrVYzpUQQoixpa3iajGw1bAbIQqxGLg1VUAU5FwJIYQYY9oqrrYFZg27EaIQWwN/\n6VimIqJCCCHGltaJKzO2BOYicdUWZgL3dCxTEVEhhBBjS+vEFcG1AomrtjAL2NCxTM6VEEKIsaWN\n4mq7+Fviqh1kOVcPANNisrsQQggxVrRRXMm5aheTnCt3HCW1CyGEGFN6iiszW2ZmvzCz35vZxWb2\n+i7bfdTMrjCzNWa2oj9N3YjEVbuYxWTnCpR3JYQQYkzJK8T5APBGd19tZlsBvzOzM9z90mQDMzsC\n2NXddzOzxwOfBPbvX5PZDngQiau2MJPJOVegvCshhBBjSk/nyt1vdPfV8e+7gEuBHTo2OxL4Ytzm\nXGCemS3qQ1sTtiVU+5a4agdZCe0g50oIIcSYUjjnysyWAyuAcztWLWHi1CbXEqY76RfbAVcjcdUW\nshLaQc6VEEKIMaXQ/HwxJPgt4A3RwZq0Scdr73KcE1IvV7n7qiLv38G2BHE1v8K+YvDIuRJCCDHy\nmNlKYGUTx8oVV2Y2Hfg28BV3PyVjk+uAZanXS+OySbj7CRXa2Mm2wPkEx0yMPjOZXKEd5FwJIYQY\nIaLhsyp5bWbHVz1W3mhBAz4HXOLuH+6y2anAi+P2+wO3uftNVRtUAIUF24WcKyGEEFOKPOfqQOCF\nwIVmdkFc9g5gRwB3P9HdTzOzI8zsSuBu4Ni+tTawLXAVEldtoZu4knMlhBBiLOkprtz9LAokvbv7\naxtrUQ/MmEFwO25E4qotdEtol3MlhBBiLGlbhfZtgVsIDtnMIbdFFEPOlRBCiClFG8XVzYSbdWud\nKzO+bcZWw27HgJBzJYQQYkrRNnG1HbCOFosrMwx4FtDPQqujRC/nSuJKTMCM2WbFSsQIIcSo0jZx\nlThX9wIzzFrXfoC5wDRg3rAbMiC6zS2osKDI4qPA84fdCCGEqEPbxMl2wDp3HiYKrCG3pwrbxN9T\npQhqt7kFFRYUWcwHdhp2I4QQog5tE1eJcwXtDQ0m4moqOVdKaBdFmQVsP+xGCCFEHdoortbFv9sq\nrhbE31NFXCmhXZRhJpMnhxdCiFbRtsTRJKEd2iuu5FwF7mPqhEZFcWahMitCiJbTNnE1DmHBKeNc\nxZGRcq5EGWYCWw+7EUIIUYe2hQXTztU9tFNcbQPcxhQQV8B0wN15IGOdcq5EFrOAxS0dCSyEEED7\nxNU4OFfbAH9kaoirbmUYQM6VyGYWoVTJwmE3RAghqtIacWXGTGAL4M64qK3iagFBXE2FfKNuZRhA\nzpXIZiawFiW1CyFaTGvEFXGkoDseX7dVXG0D/Imp41x1E1dyrkQWswgPHxJXQojW0jZxdXPqdVvF\nVeJcTQVx1S2ZHeRciQ7MmA4YcA2qdSWEaDFtElfpZHZor7iScxWQcyU6ScT49ci5EkK0mDaJq3Fx\nrrYBrmRqiCs5V6IMSY7e9ci5EkK0mLaJq1Y7V2ZMA+YA1wFbmLHFkJvUb+RciTIk54ucKyFEq2mT\nuNqOyc5V2yo5zwfucOchpkatq17iSs6V6CQp3XEDcq6EEC2mTeKq9c4VIZl9ffx7KoirXmFBOVei\nk3RYUM6VEKK1tElcjUNC+zbArfHvqSCu5FyJMiTO1Y3AIlVpF0K0lTZdvMYhoV3O1SbuQ86VmMhM\nYIM79wF3oCrtQoiW0jZxNQ7O1VQSV3kJ7XKuRJr0dEkKDQohWkubxFVWQnslcWXGh8yGkjA71cKC\ncq5EGdLTJSmpXQjRWlohrsyYBWwO3JVaXElcmbEj8EZgeSONK0c6LPgXxl9c5eVcTTfDBtgeMdqk\nzxc5V0KI1tIKcUXMt0rNKwjVnavnxd/DCCl2OlfjPnlzV3EVP8sHkHslNqGwoBBiLGiTuFrXsayq\nuDqGIGyGUSNLCe0TUTkGkUZhQSHEWDClxJUZjwQWA79gOOJKCe0TUTkGkUbOlRBiLGiLuOpMZodq\nztUxwDcIuVujEBYcd3El50qUIe1caX5BIURryRVXZvZ5M7vJzC7qsn6lmd1uZhfEn39pvpn1nauY\nOH0McBLhhq+wYP+RcyXKkHaubkDOlRCipRRxrr4AHJ6zzS/dfUX8eW8D7eoky7m6nzDabPOCx1hB\nGHF4HsOblzDtXE2V0YJyrkRR0s6VqrQLIVpL7oXL3c8kCIFe9Hs4/STnKo42KyOSjgFOjvvdw4DD\ngmZsQXBp7oiLpsJowfTNMovazpUZc8x4Zp1jiJFho9OpKu1CiDbTxFOhAweY2RozO83M9mzgmJ10\nziuYUCg0GJ9+jyaEBGE4YcEFwK2pchIKCzbjXB0EvLvmMcRo0Ol0KqldCNFKiobUenE+sMzdN5jZ\n04BTgN2zNjSzE1IvV7n7qoLvMZ9N4bQ0RfOuDgRuc+fi1H6DFjbpkCAEYWFmzHDn3gG3ZVDkJbQ3\nkXO1EzC35jHEaNDpdCZJ7auH0xwhxFTCzFYCK5s4Vm1x5e53pv4+3cw+YWYL3H2SGHL3Eyq+zVzg\n9ozlRcOCSSJ7wsDDgkxMZscdN9voXt044LYMikE4VxJX40Onc6WkdiHEwIiGz6rktZkdX/VYtcOC\nZrbIzCz+vR9gWcKqJluzKVcpTVHnan/gp6nXwwgLdjpXMP6hwUE5V3NqHkOMBt2cKyGEaBW5zpWZ\nnQQcDCw0s7XA8cB0AHc/ETgKeJWZPUi4MB7dh3ZuTXfnqoi42oogZNL7DSPnan3HsrEdMRhLXwyi\nztWOwJZmbBmToEV7ycq5etSQ2iKEEJXJFVfufkzO+o8DH2+sRR3EZPTZwJ0Zq8uIq7tTr4cRFkxX\nZ08Y5xGDM4D73XmoxzZNOVcQ3CuJq3bTGUa+AThsSG0RQojKtKGGzBzgbncezlhXRlzdlXqtsGD/\nyXOtIIihys6VGdOBRcC1KO9qHFBYUAgxFrRBXHULCUIBcRXDU7OZ6FyNSlhwnMVVXjI7hLBgHedq\nKXATQbQq76r9KKFdCDEWNFGKod/UEldsCk89mFo2rLCgnKuJ1HKuCPlWVxNqrcm5ajFdcvQ2Vmnv\n4lwLIcRI0gbnqlsZBigmrjrzrWB4RUTlXE2krnO1E0Fc3YHEVdvZAngo/RAUByjcjqq0CyFaRhvE\nVbcyDFBcXN3VsazUpM8NkZXQPrajBRmMcyVxNT50mypJoUEhROtoi7iq61x1iquxSWg3w8z4vhnT\n6hynDwzSuboT5Vy1nW7ni5LahRCtYyqIq9mMhrjqFhasW4phJvAMRs+5KSKumsi5ugY5V+NAZzJ7\nwjrCxO1CCNEa2iCu5lI/LJiVczUrJtH2HTNmAcbkm0cTOVeJY7Og5nGapkhYsG4RUYUFx4duYcE7\nCd9hIYRoDW0QV42HBWPS7IOEJNpBsABY7453LB9ncVXUuaoUFozCOBktKHHVfro5V3chcSWEaBlT\nUlyl9h1UaDArmR2aFVejVum9387VdoTisnejnKtxoJtzJXElhGgdbRBXdUsxZOVcwWBrXWUls0MU\nVzXDk1PSuWJTvhXIuRoHujlXdxO+w0II0RraIK56lWIoIpCycq6SfQflXGUlsyd1fB6s2Y5Rda66\n3SzT1HGuknwrkLgaB+RcCSHGhraIq3EIC2Y5V1B/xGAiKkbNuep2s0xTx7mSuBovujmdEldCiNYx\nDuIqTyCNQlgw07mK1M27GmXnqkidqyacK+VctR8ltAshxoY2iKsmSjF0E1fDTmiHZsTV7Yymc1Wk\nQrtyrgQoLCiEGCPaIK6aCAtm5VyNUliwrri6htETV4N0riSu2o+cKyHE2DDS4iqOoutXztWohAXr\nzi84hyAyRi0s2G/nalJYcFBFYUVfkHMlhBgbRlpcES64D7pzf5f1dUsxyLnqH32b/saMOQRRdguA\nOw8RXDAN2W8vcq6EEGPDqIurXvlWuPMAgBnTexxjFEYL9juhvTHnyoyZZryzgUP1c+LmHYFrOire\n34GS2tuMRgsKIcaGURdXvUKCCXnuVa86V4MKC25LdFkyaKIUw9U051wdCRxvVvvcKBoWrJJzlQ4J\nJijvqt0oLCiEGBumirgaWljQjNkER2Vdl02acK5uBKaZVc5fSvNiwnlRd1qewmHBCrlSElfjR7ew\n4P3AZmYDmwdUCCFqM+riqtfUNwl54qpbztWgwoI7AVe783CX9U2IqzsJifG1QoNmLAYOBK4HFtY5\nFgWcq5gr9RD0DOtmkSWu7kTiqs1kOlcx9KspcIQQrWLUxVWvqW8S6jhXgwgLLgeu6rG+KXF1K/Xz\nrp4PnEJIkK8rroo4V1At7ypd4ypBOVftptd0SXchcSWEaBFtEFeVnauYN9TtJj+o0YLL6S2umijF\nkDhXdfOuXgx8iRDC7LtzFamSd6Ww4PjRa7ok5V0JIVrFWIuruPyeLiG5QYUFlzM456qyuDJj77j/\nKkLy/Sg7VxJX40eecyVxJYRoDaMurnqWYoj0Elfd8q1gtMKClcJ5ZmxOcH02UD/n6kXAl6MQrSWu\nzJgGbEEQTnmUcq5iYvN2wHUdq5Rz1W56iXGJKyFEq9h82A3IYWsm30Q76SWuuuVbJfuNgnN1O7C1\nGdZRt6kIc4A73XGz6s5VFGkvAJ4cF91CKB9RlRnAvQX/n7LO1RLgBnce7Fgu56rdKCwohBgbRt25\nqhsW7FbjCkYk5yoWQr2XasnYSUgQ6jlXhxGKcl4WX9cNCxYNCUL5nKudmRwSBImrtqOwoBBibMgV\nV2b2eTO7ycwu6rHNR83sCjNbY2YrGmxfE+JqaGHBWONqLnBTzqY3AIsrvEVaXNXJuUoS2RPqiqui\nyexQfvLmXYErMpZLXLUbOVdCiLGhiHP1BeDwbivN7AhgV3ffDfgH4JMNtQ36m3M1iLBgXo2rhGuB\npRWO3ymuSjtXMZH9acDJqcWDdq7KhAV3I1tcKeeqpcQisjPonqMncSWEaBW54srdzySEnLpxJPDF\nuO25wDwzW9RM8wo5V73Ce0N1rsjPt0poQlyVLsVgxv7AT4BXuk+Y+7BuKYZ+O1dXZixXnav2MgO4\nr8dDiMSVEKJVNJFztQRYm3pdVShk0facq+UUF1fLKhw/7eyVcq7MWAl8H3iZO9/sWD3KzlUvcSXn\nqp3knS8SV0KIVtHUaMHOueEyR4mZ2Qmpl6vcfVXOcYuGBbfrsm7YowWXU1xcPbrC8Ss5V2YcQXAb\nn+vOLzI2uR3YyozpMeG+LGXEVWHnKhaF3QX4Y8ZqiasRwIxXAte5c1qJ3Xols0P4Djf1wCaEEJmY\n2UpgZRPHakJcXcdE12UpXconuPsJJY9d17kadp2r5cAFBba7lh55bT0ondAeJ3f+OvBUd87O2sad\nh2Nph20Ik0KXpUxYsIxztQNwu/vG/znNSORcmbEAWOrOhcNuy5A4jBBWLiOueiWzQ3Cf5VwJIfpK\nNHxWJa/N7Piqx2oiLHgqYbQZZrY/cJu7542Oy8WM6QRHo1tYL6HOaMFRcq7q5lzdBsyL7k4v5gMb\nugmrFHVCg/0qxdAtJAijk3N1JPCxYTdiiCwBHlNynyLOleYWFEK0hlznysxOAg4GFprZWuB4YDqA\nu5/o7qeZ2RFmdiVBCB3bUNvmAncUKESZJ65u6LLufmCaGZtnFKRsiuUMSFy584AZG+KyXm7f1gQh\nlkcdcVU2ob2oc9VLXG0Atuzz51mEBcBfm7GFO/cPsR3DYgkwv2RR3DznSjlXQohWkSuu3P2YAtu8\ntpnmTKBIvhVUDAvGquaJe5UVZqqFGbMIQqeIi7cOmGvGDPdCU8YkzAGuT71OCon2ElfzctYnFBZX\nZsx0nyCm+uVc7UYXcRU/zzsJfdJrdGu/mU8Qi/sC5wyxHQMnuqbbE86vnSj2YAHFnCuJKyFEaxjl\nCu1F8q2gelgQ+hsa3IlQ9TyvxhVxm+sIT/1lmMNEAVok76povxYqx2DGYuBPHeHIsgntZZyrrBpX\nCaOQ1D6f8D8dOOR2DIOFhAeV3wJ7l9hPzpUQYqyY6uKqnyMGl1P8yR2qhQbnMtF1KzIFTtF+Lepc\nLSJUl989taxsQnsTOVcwGknt84GfAQcNuR3DYAnhIWEN5fKuVIphSJhxbJxovdv6QUwRJsTYMeri\nqm5YsFedK+jviMHl9F9cpRPaoVnnqqi4mhd/PyG1rHHnKlbx3pXsMgwJo5DUvgD4AXBgbPNUIhFX\nF1LOuVJYcAjECds/T5ihIWv9EuAGM7YYaMOEGANGWVzNpb5z1asUQ7LvKDlXZQuJZomrIs5V0YT2\nbQtsl7xfWlz1w7naHrjbvec5MSphwTWE/2vXIbdl0FR1rhQWHA7Jg9iruqx/FeF6UeQ6IIRIMcri\nqu05V8sZvHNVpJBo0wnt84GL6bNzRX6+FYyOuPoL8CumXt7VEsIAiz8AS+PE5UXIc642ALMKlBkR\n5VgIXA083oyd0ytiPbxXAuuRuBKiNKN8sRqUuFJYMJsy4uqXwM5mbB2X9cO5ysu3gtHIuVrA1BZX\n18VSGJdRfNaBns6VOw8RRLjyf5plIWHqsi8B/9Cx7nmEAsirkbgSojSjLK6KlmK4h/BUm5Xfkpdz\nNWphwSacq0EntM8HbgbOB/aLy/rhXHUtw5BiqDlX8RycR/gczmKKiqv49xqK513lOVeg0GA/WEj4\nnn8KeJlZeMiJ5/HrgY8SRg13m15MCNGFURZXhURAfKq9n2z3Iy/nqi9hwVjjai7FalwllBJX8QLY\nT+eqUCkGNoXBzmZTaLAfda7aEBbcCrgvFg+9CFgSp8OZKuzAJnF1IcXzroqcL5oCp3kWAre48wfC\n+fp3cfkTCN+jHxEenORcCVGS1ouryKTQYBxevCW9n4j7FRYsXOMqxU3AghIjc2YRbuTpauRFnasi\nCe0bgM2iUOxFIq7OYZO46keF9iJhwWGLq6QviJ/LecABQ2zPoOl0roqKq7yEdpBz1Q8S5wrgk2xK\nbH898LF4/VqHxJUQpRkncdXpQM0mjC7rNQVHv8KCyykXEkwcuBsJT/9F6HStoEHnKvbbLYTJm3uR\ndq72j0nHjTpXBcswwPBzrhYQPoOEKZN3FeshzWbTzfoi4DEFy1EUDQtqfsFmSYurU4FdzPgb4KnA\n/8TlCgsKUYFRFldFc64gO6k9L98K+jdacDklxVVkLcVDg1niqohzVXS0IBTLu5oP/MWdGwmO2CNp\n3rlaRHDp8qa1GXadq43OVWTkxZUZR5lxRAOH2gG4IXmYcWcd4Xu5Y4F95VwNh43iyp0HgM8CXwe+\nmip5orCgEBUYZXFVKyxIfr4V9C8suJxq4qpMrau+OleRIrWu0oIiybtqOueqSL4VjFBYMHIOsO+o\nFmE0YyvgE8ALGjhcOiSYUDSpXQntwyHtXAF8hvBd/FhqmcKCQlRgnMRVZ8ggrwxDst8oOVdlktqz\nxNWdwAwzpmftEEM0RYuzQgnnKv59NrA/5ZyrXqU0EorkW8GIiSt37iSIwn2H1qLevA64AdingWNl\niauiSe1yrobDBHHlzrXAIncuT22jsKAQFRh1cVU0LLiOEDpKU0RcjVpYsKy4mtA/MSRzG91Dg7MJ\n4bUHCr5HT3GVKj2QJMhXca7W93qPSJEyDDB6OVcwoqFBM+YBbyK4VjsXGLiQh5yr9tHpXOE+6Zqr\nsKAQFRhJcZUqM1BUXF3D5NyOojlXjYYFY9t3A/5UYfcy4qpz0uaEXqHBMm4g5JdjmAk87M698fUa\nYGdC3xcVV7cCc7u5bZEyztUo5VxBGDH42CG0JY83AT9w52LgcooX/OxGUp09TVHnqogYl7hqnkni\nKoPbCHUERzK0LcSoMpLiinARvaejzEAvrmFyrlKRnKt+hAWXAve7l6pxlVA3LAi9k9rLJLNDfliw\nMwz2AKGYKFDMHYvDvW+l96jEtuZcQRAcna7qUDFjIfAa4F1x0WrqhwaznKvLgWUFpsFRWHDAxIKh\nM8h5gI1uuKbAEaIkoyquyjos3ZyrYYQF9yY4OFVoQlw16VyVEleRs4ENOSUwOumaNJsqw1A4LFhw\n+H8/SKa+SXMzo5ez8lbg6+4bQ9d9EVdRbF8OPCpnX4UFB89CYH3B76lCg0KUZFTFVZkyDBBKGFQV\nV02PFtyHcLOqwo3AtjkhsoQqztWgxFXRZPaEXiOStgUecp+UyzSJWBn9IYoVJe0H85mcczVS4sqM\n7YGXA+9LLb4AWFHz0FnOFYQHjbywqJyrwVMkJJigEYNClGRUxVVTzlVezlU/woKVxVV80l8HLC6w\neVXnqkh19oS8UgxZ4up/ge+UeA/offHeGfhziWMNM+8qqz9uIVTenzaE9mTxUuBk9wlCaA2wV9U2\nRqdweybnXAH8GHh6ziGKOFea/qZZyoqrkXlAEKINjIu4ugFY2JF0Oaw6V3XCglA8NNgt4X+ozpU7\nt7rzjyXeA3qLq8Vk37S7Mcy8q6z+eJAgaPMq3Q+KHYBL0wtiwcibCeHXKiwE7nLPFEinAU8yyxa8\nUdBNJ9Q764Wcq2YpI64UFhSiJKMsrgqHBePUMdcTQhMJA69zFW8gOwB/qHGYtRQrJFpltGDZhPb1\nwDY9cpiynJoq9BJXiyg3AfYwxVVWKQYYrdDgtmTfVDPzrsx4XpwSpRfdQoKJcDsbuh5jJmHwSl7u\nj8RVsygsKEQfGVVxVabQZUJnaHAY09/sBVxSYpRjFmWcq77mXLlzH6GPuomVQYirxYRctKIMpdZV\nnFNxLtlh15sYnRGD3W6qF9AhrqKofidwVM4xu4qryHeBZ3dZV7QmmuYWbJaFhO9dERQWFKIkoyqu\nyoavYHJS+zAS2usksyfUFVdNjhaE3qHBURRXw3Ku5hImCn8oY90oOVfdxNVqJie17w3sTn6tqjxx\ndSpwRJdvY3FBAAAgAElEQVSBGkWS2UHOVdMoLChEHxkncdXpXA2jzlUbxFWZhHbIF1dlj5dF0+Jq\nGAntvYRmW8RVZ1jwBcCngUdFZ64bPcWVO9cTQuUHZ6wukswOEldNo7CgEH1klMVVmVIMkB0WHHSd\nq7rJ7DBCYcFIL3E1DzlXCd3yrWBExFUM83W7qV4LTDcLI1VjovnzgY8Tcu8e0ePQWdXZOzkF+NuM\n5XKuhoNGCwrRR0ZVXFXNuUonghfJubqXMNFx7aKTZmxOmELkwpqHqjtasMmEduhdjqHJsGA3AdeK\nnCt698Wo5FzNBh7MGtUXE8rTeVcHAze5cwlwESGfsBt5YUEI4upZGQ6YnKvhoLCgEH1kVMVVEzlX\nuWHBOPXKfTRTdHI34MaMiU/Lcj2w2Iw9crbr6Vx1EYyjmnO1nlALasL5GP+HtjhXbQgLdhspmJDO\nu3oh8JX4d94cgbniyp3LCN/HzoKiRRPa7wc20xx3jVFGXGl+QSFKMqriaheCg1OGa4CdUqKiSFgQ\nmgsN7k39fKukyvj7gDPMuMSM95hNnFQ3JgZPh40TJqf3v4/wf2e5VyMprmLx1DuZHM7cCnD3Qp9j\nwrByrrKmvkkYFXGVd0NdDexjxkxCCO/kuLwJ5wqyRw0WCgtGZ00jBhsgJzw8Cc0vKER5csWVmR1u\nZpeZ2RVm9taM9SvN7HYzuyD+/EudBpmxDbCcEKIow+2AEwQElBNXTYwYbCKZHQB33kVw4V4GbAn8\nymzCzXkOcGeP2kDXkR1arJLQ3itk15RzlbxP58W7rGsFw3WueuVcjUJYsJC4Ap4B/DYmokMP5yoK\nsa1yjptwCpPFVdGwICg02BSzCA8tRRzDBIUGhShBT3FlZtOAjwGHA3sCx5hZVrjql+6+Iv68t2ab\nngT8KroZhYlCI53UXiTnCpobMbgP9ZPZN+LOw+6c485bCEUYn5Ba3S0kmDApbyuG3LrlafUi07ky\nYwbh/Ck7j2A3mhJXo5pz1Qbn6jLCeXMcm0KCEEb6LTPLfAjZAbghhtjz+A0hZL17alnRhHaQuGqK\nMiHBBI0YFKIEec7VfsCV7n6Vuz9ACBM8K2O72gnhKVYCqyruew3hJjAdmEb+lBowYmHBLlQRV0s6\nls0BNnSpw9SLbmHB+cBfClTWLso4OFfdxNXdgJkNPaTVs3BkLH57CXAgIYSXLH8AuBx4VMZuO1As\nJJjkOJ4MvD21uIxzpfkFm6GquBqFBwQhWkGeuFpCSBRPyLppO3CAma0xs9PMbM+abVoJ/KLivklS\n+2zCXGdFbvy1w4Jx+PqWTOyrJikrrrLCglXyrSBHXFU4XjeaElfr6T0fYr/oWoohnoejkHdV5Ka6\nGvhexsCMbnlXRfOtEt4JHGjGMfG1nKvBU0VcKSwoRAnyxFURcXI+sMzd9wb+m5BXUYlUvtX5FQ+R\nhAWL5ltBM2HBvYE1Dbo4nZwLPDZV4TovvJdVzqGquFpHdr7QqIqrnnMzmrG3GZ8uecwi5PXHKJRj\nyBstCPAB4G0Zy7vlXZUSV3FwwtHAR83YhRHLuTLjM2Y9k/fHAYUFhegzeeLqOibeqJbRMYrP3e90\n9w3x79OB6WaWWWfJzE5I/azM2CTJt6o6N19aXBXJt4JmwoL9DAkmk99eFd8Huk/anJDlMFZJZofg\nxmxmNmn0YVPV2ROaEle3EIaNd3MjVwDPj3XJmiRPXLXCuXLnj+5clbGqm3O1GyUdW3fOB95DCBHO\no5xz1e/Q6hH0Hhk5DigsKEQGcYDeRp1S51h5N5jfAruZ2XJC/aXnwUY7P2nMIuBmd3cz2w8wd+8S\nHvG8xq6ker4VbBJXRaa+SdhA/dGC+wA/qXmMPH5NCA3+lgGGBd1xM64EdgXOS63qh3O1X8eyRQTH\npzCxvdcSHgQuz9gkOT9WEBKsm2IsxFUPLgQeY4YlDm3MIft7JteuKsJ/A4cCrwTeUXCfvjpXZswh\n5JAVKeLbZhQWFCIDd19FSoOY2fFVj9XTuXL3B4HXAj8mJLp+3d0vNbPjzOy4uNlRwEVmthr4MMHy\nr8pK6omrJCRUJizYlHPV2EjBLqTzrkqPFqR6WBDgCoK4SjOqYUGYXFA2zY6Ec+OgCsftRa/pb2A0\nyjHUEVc3EK4X6f/haODXXZyunkSBdizB/Sz6Xe13WHC3+FviajIKCwpRgtzQSAz1nd6x7MTU3x8n\nzD9WiwbyrSA4NjsQhMRAxFUscbALYbh6PzmbkAwM+eLqNmBzM+a4b9yuytQ3CYlzlaapeQUTsqbZ\nqSOuuuVd7QR8B3gi8F8Vjj2JOA/fbHrnwd0E7NzE+9Wg52jBXkRH8EJCyOzGWIjyNRR3nbKOud6M\n/SgeXu63uHokoTBvZ0h93KhyHigsKEQJRqlCe918q6Q6+S2EJ9CiOVd1w4KLgDvcC79fVf4AbG3G\n9uSIq+gKXMfEm0Qd5ypLXPXVuYqidTtKhgUjnfNMptkR+CpwUBNzSkbmEc6BXrWehhoWjP3Zq9Bp\nES5iU1L74wm5f7XC4e5cX6KY5SDE1a8Yf+eqyMCGThQWFKIEoySuVlIvJJhwDbAHgwsLLofyYZGy\nxBv3OYTQYJFioJ2hwaoJ7TA4cbUwJXgWEMppFKlV1kmmcxWPvSPhBnoP4WbaBL2mvkkYds7VfEJV\n/8oPL7DRuYLgWn2yYPHQpui3uNod+DnjL66qhAU1v6AQJRhXcbUnYyauIklSe15YECaPGKzrXO3W\nsaxRceXOvYTJeZMCoFVDgtA9LLgtcHd0Gc8khAaboIgjNOycqzr5VgkXEZLatyVMkfOF2q0qxyCc\nq18C2/ZhNOkoUfpc0PyCQpRjJMRVQ/lWCWsp51zVDQsuZ3DiKklqzyvFAJNHDNYRVzcBM82Yl1rW\ntHMFE0ODi2heXO0IXB3/blpc5fVFX6bAMWOJ2SRXMYsmxNXvgb8iTI/zXfdaIcYq9E1cRVdzd8LA\nnXUEcT92xP9zG4JQKotCg0IUZCTEFQ3kW6W4hpADM6g6V8sZnLg6j1BCYBuKOVdpcVU5oT0+tV5J\nSNxP6Le4Wky1fCuI4iojp2onwvkBgxdX6wnz6k1r6D0T3gX8W4HtaourWAD0euCtNDCIpQL9nP5m\ne+Aed/5C94nPx4GtCdNg3V9hXyW1C1GQURFXK2kmJAibbp5lwoKtcK7iyL8rgb9msGFBmFyOYRDi\nqpJzFYuuOkxw2iA4V8n5cSkwx6yRm2huzlV8cLiNBqfmiRX7/xY4uEByfuWRgh1cCFzizu8aOFZZ\n+hkWfCSb6qJlFeEdF+qI7NaXYzBjy2G3QUwNRkVcHUzIdWiCsuKq7vQ3yxmccwUhNLgl1cKCdSqq\ndya1N12hHRoSV5Gs0ODGsGB0486iGfeq6Ci8pkODTyGMIi2SnN9EWBDgc8BbGjhOFQYprsbVuapz\nHrQ6LGjGY+jjTBpCpBm6uDJja0K4qYl8K6jmXFUSV3F4+44MVlz9Ov6uMlqwjnO1UVzFEUNbULyP\ni9JvcZUOC0JzocGiLl7TIwafC3yD8GBycM62VYbfT8KdH7o39iBUln6Kq93ZVKtunMOCdZ2rNocF\nHwf8VSxnI0RfGbq4Ag4AfuPOAw0d7xZCIcAyOVdVw4JJjauidXqa4Oz4O8+5uplQFyuxwZsQV8mI\nwfnAbX2YqHoQztVYiKsocJ8FfAv4X0LeYi+acq6GST/nFlRYMJ+2hwWTMiIHDrUVYkowCuLqIEJ4\nphHiDX8tgwkLLmewrhUEkfMBcsRVrD90I7BDqoJ4niDLe98kLNiPfCtoVlxlFRLdiU2jBQEuAJZn\nTEpdlrypbxKaLMdwKHCZO2uJzlVO3tW4iCuFBevRmrCgGXPMeFGDh9yL8F1peuorISYxKuLqzIaP\n+R5C4m0R6owWXM6AxZU77s7bCxZvTG4ScwkFOesUfLwBmBsnt2166puEpkoxQIdzZcYswo15Y1J3\ndEvPpf6TbFGx2WTOVRISBPgjYMAjemzfVEL7MNlAKGTZ6HUruoDLgD/FRQoLZjOwsGB8UPgC8PkG\nk9D3Aj6JnCsxAIYqruKX5rGEyuON4c6XS9TgqRMWXM7gnasyJOKqbjJ74oT9kZAf11fnKo6Cm089\np6UzLLgMWJshMM+k/pPsQMOC8XtzJCEkmLi1eXlXrXeu3HmIEPKvO9F6J7sA16TKE1xHcHwnOYFm\nnGi2cQL1NtKWsOD/ITjNfybUVquFGYsIeaLfA/Yw62sxWiGG7lw9Frg8NbnwMGhbWLAMSe5I3Xyr\nhCQ02O+w4LbA+ngzrUqnuOpMZk/4X/KTwfMoMv0NNBcWPAy42J3rUsvGXlxFaoUGzXiF2YR6bTAx\nJIg798T3Wdix7zTgBcB/NDgv5aAZ+bCgGSuBNwPPAX4L7N3AYfcCLoozQawmzI1Ztl3TMs4dITIZ\ntrhqNN+qIq0KC5YkCW80Ja6SWlf9FFcLqZ9vBdG1S4WQOpPZE84BHm22cdqdKhQtxdBUQns6JJjQ\nVVzFsNdsmjkHhk1lcRVz6/4b+OeOVbuTEleRrNDgroRisPOAI6q0YQSoI65uAx4261+yfzz214AX\nuXMNIb2jKXGVpIqcRTW3+m+B1Wbs1EB7xJgzbHH1RJrPtypLnelvdma0xVUSFqxcnb2DZMRgv8TV\n3YRz8hHUFFdxBOddbHrSTk99k97uHkLl+0qjBmMIc0uKDaConXNlxgzgmcC3O1ZdDszocuHfhuAE\nNj26cxjUca5eAvwC+FuzCZ/DI9lUhiEha8TgCuB3wL8A/9Z07teAqCyu4vnzE+BpWevNmGnGqWZ8\nzIyXmbFP/H4UIjqD3wQ+5s4ZcfEa4DFV2tvBXoS5MSFM3F4l7+rJhBkKPtNi51IMiKFdHOKF6UDC\niT5MKjlXqRpXk27YI0SrwoLx4r2OcCGs61zBxNBgt7AgwM+BQyq+R5myFE04V4cDa9y5Ib0wvn+3\nEOe4hASh4hQ48Wb4j8D7CLlqx6VWTwgLRrJGDK4gjDD9HuG6cXTZdgyT2AfbUe9c+CHw9C7rDie4\nzn8kCJGvAlfFwSRFeDxh8M0HUsvWAHs3IGbS4urXwP4VJud+MkGgLwBeXrM9YswZ5pPXHsCtnTeJ\nQROnJfEyT1iRxcDtA65xVZZ0WLCJauppcdV0dfaEdcCjaV5cdQsLQj1xVTTfCoIwsKrJtPEG82bg\ns1026RYaHIeRgglVnatDgPsIN9aPAK+O4VIoHhZcAVwQhew7gHdXuG4Mk0cSzsE64upHwCFdRvA9\nB/iCO//lzovceRRB0Dyr4LEPBU7vGHRyA+E+VTlXMTpiewIXA7iznnBtKOyImbGYMP/kb4Bjgfc3\nNHWWGFOGKa5GISSYUCU0uJzRDglCuDAtIgiAJpyra+OxltCfsCBscq6qTtqcJl3rqrPGVZrfALuY\nsU2F9yiab5W4S3VCg08hCKWTuqzvJa7Gxbm6i/CwUJZXAZ+MpUwuJtxon2vGfGAGk8X8hLBgFLb7\nEJwr3Pk5YSRbmxyMpwOn1QkPu7OOMC/nhDB6FFtPB77bscuXgBcXPPyhwE873s+J7lWV9kYeAaxz\nnzCrxVmUCw0eDJzpzkPuXETI3fu0woOiG8MUV6OQzJ5QJTS4nBEXV3Fo+XrCk3ltcRWfKP9MmEai\nn+JqVxp0ruKT6xLCDXMSsd7VWVQbNVg2RFopNBgv4u8C3t1jFOUlwLyMhONGpr4ZEc4jhGcKY8YO\nBOfqK6nFHwH+iZhvlSE4OsOCO8Tf16eWvQP41xJhr2FzBCGsV5es0OBhwIXuk763pxBCcDvQg+jm\n7kv2PaFuUvtj2BQSTPgV5ZLan0zI10t4P+GcKCocxRRj2M5V28XVn5tvSuNcRwizNTVS7ErKhcLK\nso5QELPJsOAiQgj63h7bVg0N7sfkkFIvqpZjOJTQ71/vtkEUv2cyWSSOk3P1LeDvomAuyiuAr3eU\nfDmN4IAdS/bn1xkWXAGsToswd35DcFWeU6ItGzFjXzN+b8YeVfYv+V5zCefqzxs4XJa4OopYdy1N\nTJv4DvD8nGM+iTANWta0ZXWT2tMjBRPOAg4q4TxNEFfxgexVwDvHxb0y4wCzaueymMxQxJUZOxLE\nTOcInWGxgfKhhuWMuHMVuZZQhK8pcXVF/N1PcQXNiqteyewJv6CkuIo3+GOB/ymxW0/nyozZMb8j\nvayIa5XwM+BvOpaNjbhy50qCe1RodGdMWn4loTJ3+jgPE9yrV5J9HeocLZgks3fyFeCYIm3paNeR\nwI8JznKe8GiCQ4Gz3RuZbP0CYCuzMNdozF17JkFEZfEl4CU5ImRSSDBFIecqfneekbEqncye8GfC\nQ1xuWYXoui1kskA7B5jGpjkL2867CaHOOmVpRGSg4sqMH5uxHyHWfdYIDQ3/EeVzJ5bTHnG1Jc0l\noF8Zf7dFXO1I72T2hNXAYjO2L3H8pwC3uLO6xD55OVfvAa4049Wpof6HEcppdNa2yuI7wDNjyYaE\ncUpohzBc/6iC2z6DUH09azqsLxLm28xyru4gDD5IbjTdxNWpwIFmEwuOdsMMM+OfCGLv6YQBCs8d\ngPvRVEgwyYM6nU21vg4hzHN5XZddzgTmEHLWutFLXF0C7NprGpzYf58BTs1wAieJq/g/FA0NPhn4\nZefsDvEY3yXUvxoI/TpPzHgEQcD+lBAuFzUZtHP1HUJ9no8wOiFBgH8Hnl+yONxy2iGukgtek2HB\nh6k3CXQv1gH304wYvI4QgnsEOSUzoiP0S8rl87yC7iP3utHVuYp5Jy8hhJleBPw0XvSKula4cz3h\nCTvtXo2NcxX5FvCcvNBg/D7/G/DxrPUxTPgcgoPUuc6ZGBrMFFfRCTqd4mLvg4QHuQPcOY8wmGIL\nmqnllEm8IR9BCIU2RTo0mBkSTIii5Mt0yU+KTu0yQg2xrP3vJcz72Ct8+rq4/j3Av6aOPSseO8ud\nLFpMdCWwqsu6gYgrMzYz46PARWas6MNbvIzgwr4DeH0Dk9lPeQYqrtw5kVCE8m10H/E0cNy5mfAk\n+a9520JralwlJEncTYmrPxBG3tSZBLoX64Abm3A1Y17ELYT6OXnOFZTIu4pOxVMpfx7/Fnh6qgxA\nmhcC/+vOjwkX/dOA8wkh62+WeI+vM7EG01iJK3f+QBCpB3TbxownEsI2n6HHZ+TOT927urDXAkvi\niMKFbAqJd3ISBUKDZjwV+DvgIPdw7Yjn+TeA5+XtX4N9gLvdu7a/CmcATzBjHvBsJhe17eRLhAfY\nrNIVhwCrYlmcbnTNuzLjIELV/ecQxOuhKfdqT8KAhQcydv05oaDso3La3pnMnuZXhHkod845RmVi\naPtzBIH/IeDHZry1ZN5h3vGPBT7nzh8JJsibmzj2VGbgOVfu3OvO54dd3yqD/wSeneQRpDFjTsei\nxYTCkfcMpGX1aFRcxZtCL3u/LhcC72zweGsJYehGxRVBCH3fvZzD5s5ZhCKLE8LQ0V14HWGIN3HI\n9weBvwaOKjnP4reBp6VGsY3TaMGEbwJ/n7XCjOMITspLY82lqkI9GTG4D2EkXLcHih8Be5lNmMuy\ns00zgU8Ar3Gf9F38Ov0NDTYWEkyIrt+5BKfoj3Gqml7bX0E475+asbpXSDAhM+8qhvFPJnzWf4rt\n+hCbHpSzktmTNl0EvAn4mRmPy9omfqZbA7/vcoyHCKHhZ+e0vxLxIexrhPPwcHc+T7gmHBHbvWPB\n4yw1401mmS7b4YRJ7S+Or98LHNcxi0GVts+eyvlbbZy+oS/Ep9cPAyekl5vxQuBmM16RWrycdoQE\nofmwIBnDrRvDnbvc+WKDh1xLcB2KuIyXALPNWN5ro3gTfAXhabIKbycM4Z+dWnYI4HQ8IbtzhTuX\nlDl4dGLPIzhkxpg5V5EkNLjxGhbzmT4MvIHgDk0K95UkCQt2y7cCwJ37COGhXu7T2wijDbNCc8mx\n963YzjyaDgkm/BB4DT1Cgh18iRD23kg8P4uIq0m1rqLj8nXgM+6cnlr1cYJ7tSfZZRg24s5XgX8A\nTjPjSRmbPJngqvVy6k+hD6HBmDf5bUIdtmcmIynjA+4hBFH/G7PseS7NmG/Ga8w4k9B/ewGfMpvk\n+L6cVHpDFMpfJZyzVdu+PSHN4mVVj9F6PFbV6/dPeKvBvFf1Nvoc8JvAHw2+Ofh/gl8J/hzwdeD7\nxO2eD37ysNtb8H+aBX4ruA27LUP6/z8E7uDbFNz+JPBjc7Z5PPgVdfoU/GTwf069PgX8Hxv8v18O\n/m3w2eAbhv059OmzvQj8wPi3gX8Y/BzwrRs6/qvAPwX+ZfCX52z7FPDfdVn3SPBbwJf22P994P/e\nhz7aBvx28Bl9OPbu8bv1iILbzwe/AfzFHcdYm/ddAt8hXoMttex48J+Ab5ax/dvid/mn4E8r0Lan\ngN8M/uyO9/g8+Ktz9p0Bfhv4dj222QL8ueAvKdG/nwb/Dvj0HtscBH4t+HvBp8Vls8DfGvvrJPBn\ngG8R1z0j9vd28fVi8L+Az+k47vbxvrGkwnnxaPCrwP+57fedOrqlFY0cbGf6m8FPBz8D/MfgC+Ly\nY+INdWvwd4B/YNhtLfE/zR52G4b4v78R/K6iX3LwV4KfH2+s+2XdlOJF7+0127VrvOFuA74cfD34\nVg3+3wviTfXR4FcP+3Po02d7fBRUBv4f4L8Dn9fg8Z8J/gPwi8H3zdl2WhQOj+xYbuA/A39jzv57\ng/+513kKvhT8hHiD7HrD7djn+eDf61P/G/iKkvvsAX4N+Ovj69eAf6Hge90Cvn18vR/hQXiHLttv\nFdffRQ9R27HP/vEa/1vwF4NvGT+TPQrs+w3wV2Qs3xX832Nbfh6F0BEFjve82JY5BbZdFM+xn4K/\nFvy62J5Hdtn+vbEtm0cR9tku270f/FLwN4EvKtiHhxJE6vP7cc4N+qev4ooQj72MkMz51i7bfDSu\nXwNkftlaJK5mgl8dvxDTOtZ9Avxb4J+hQZdBP339PI8Cv6TE9luC/yP4Z8FXg2+IYusz4MeBH0B4\n0su8qJds2ycJ7uj/A/9QH/73HxCcu0xHpe0/4HvGm9X7wNcQH4QaPP6+4JeD3wO+ZYHtPwJ+Qsey\nF8TzaPOcfS2+134Z6xaCf5AgwD8J/mvwG+Nnu3fOcb8CftywP6uONu0E/geCOD4F/AUF9/sZ+N8Q\n3NjLwY/K2f6t8bta2D0B3wz8CPAfRZFwY5H9CQ/fP+w4zvsJ7tEHwXePy58YhdaOPY61c3zvx5Zo\n9zTwd4N/D/xxBbb9aWzfFeD79+iLQ8D/h+DM/QD86Vn9Ea+bb4n99aRhn2PNnat45X1zDjyNMPR+\nOTCdUAtoj45tjgBOi38/Hjin6UYOvkMniqrU8hmEp+O7wQ8f8Ie8ctj90sYf8CXwnx+usf9MQhjw\nNYQQwYXgX26obdvHG+Z68F368L+/KF4Uf1zvOKN77oH/Pv5s24djbwfu4KsLbr9/vOnvBf72KIL+\nAi9/VcH93w3+wdTr3cHfQ3BsPpEW9Kl11xJcip06jjUd/NVRXCwb9ueU8b8uiqLzIfDFRc498P+K\nN/CPg3+pwHvMAj+sRhv/CvwpBbfdGvwO8LkE1+wU8F+CL8zY9i2E8PUWGeumx3Vvaqafs7+74NsS\nwoMXFxSPW4G/JF7/zosC1OLP0QSH73v9uI4N9zzFK++bc+AnAD9KvX4b8LaObT4FPC/1+jJgkoXY\nJnHVu09856jOdx7wh3zCsP/3tv6Mct+Bvwv8u3069lzwe8G/Osb995h+CKt47M3A76NA2CpubwRH\n5s/gHwV/aniiL9Z/hBDuWvB/jTexG8D/u9cNKwqI46NAf2d8fTQhV/TH5IQzh/zZzSM3l21T34G/\nNPbvVTSUV9fw/3M6Ia1kNfjnssRT6rw6FXzSQx/BTTqNjDyyam3qfu7Fh4AnlvwfNwP/+yjKzgE/\nlxBGXTns/u/PZ4pX3XdzerOEMNoq4droTuVts5RQiXrscOfPZizxckPjhejGCZD7PayEO3eYcTrj\nN1JwI55deb2pYz9sxvX0GCnYsb2bsRdwv/um8g9WsMCCOxeb8SvC6M7XAL/ynHpyHubue5cZ/0Oo\n8XQLcDHwD+6NzCPYNzyUMSkz4vZCwqTuh/jkchajwCmEeolvhu4lQOJ59VLgd2bcTiiavAPhvvk4\nYEXe594E7t1HUfbY52Hgm2Z8m1BXzIBvDaK9bSPvop55cmTQefkoul8rkbASTREvwFkFDpvinfRJ\nvE0RziZM31IID2UZKuM+ofhrmf2uBv4+1j1a2+3G3nIuAB7rXkzsDoEvAucVaZ87t8aaU68nGBGX\nEersvc5DKZWRJhFZw27HKGPR+speabY/wVY8PL5+O/Cwu/97aptPAavc/eT4+jLgYHe/qeNY4/hl\nF0IIIcSY4u6VivvmPdH+FtjNzJYTZqJ/HpOneTgVeC1wchRjt3UKqzoNFEIIIYRoEz3Flbs/aGav\nJUxsOg34nLtfambHxfUnuvtpZnaEmV0J3E2Yo0gIIYQQYkrSMywohBBCCCHK0fe5Bc3scDO7zMyu\nMLO39vv92o6ZLTOzX5jZ783sYjN7fVy+wMzOMLM/mNlPzGzesNs6qpjZNDO7wMy+H1+r7wpiZvPM\n7FtmdqmZXWJmj1f/FcfM3h6/uxeZ2dfMbEv1X3fM7PNmdpOZXZRa1rW/Yv9eEe8pWZNATxm69N1/\nxO/uGjP7jpltnVqnvkuR1X+pdf/HzB42swWpZaX6r6/iysymAR8jVHnfEzjGzPbo53uOAQ8Ab3T3\nRwH7A6+JffY24Ax33x34GTUm1ZwCvIEwCXNiy6rvivMRQlHgPQiT3l6G+q8QMTf1lcC+7r4XIZXi\naNR/vfgC4f6QJrO/zGxPQt7vnnGfT5hZ3w2CESar734CPMrd9wb+QJgkXn2XTVb/YWbLgMOAq1PL\nSvdfvzt3P+BKd7/K3R8ATgae1ef3bDXufqO7r45/3wVcSqgldiRhqC/x97OH08LRxsyWEmYN+Cyb\nSi36uxAAAAMxSURBVISo7woQn3Kf6O6fh5Bz6e63o/4ryh2Eh6NZZrY5MIswEEj91wV3PxP4S8fi\nbv31LOAkd3/A3a8izB6y3yDaOYpk9Z27n+HuSc2pcwm1s0B9N4ku5x7Ah4C3dCwr3X/9FldZBUaX\n9Pk9x4b4JLyC8CVZlBqFeROwaEjNGnX+C/i/MKGonfquGDsD68zsC2Z2vpl9xsxmo/4rhLvfCvwn\ncA1BVN3m7meg/itLt/7agXAPSdD9pDcvA06Lf6vvCmBmzwKudffO4sSl+6/f4krZ8hUxs62AbwNv\ncPc70+s8zkMwlIaNMGb2DOBmd7+AyYVtAfVdDpsD+wKfcPd9CaN/J4Sw1H/dMbNdgH8izMW6A7CV\nmb0wvY36rxwF+kt9mYGZ/TNwv7t/rcdm6rsUZjYLeAdwfHpxj1169l+/xdV1wLLU62VMVH8iAzOb\nThBWX3b3U+Lim8xscVy/PYx+Fd8hcABwpJn9GTgJOMTMvoz6rijXEp7afhNff4sgtm5U/xXiccCv\n3X29uz8IfIcwP6v6rxzdvq+d95OlcZlIYWYvJaRGvCC1WH2Xzy6EB6M18R6yFPidmS2iQv/1W1xt\nLEJqZlsQEsJO7fN7thozM8J8W5e4+4dTq04FXhL/fglhHiuRwt3f4e7L3H1nQiLxz939RajvCuHu\nNwJrzWz3uOhQ4PfA91H/FeEyYH8zmxm/x4cSBlao/8rR7ft6KnC0mW1hZjsDuwHnDaF9I4uZHU5I\ni3iWu9+bWqW+y8HdL3L3Re6+c7yHXEsYnHITFfqvr3OOdStC2s/3HAMOBF4IXGhmyRxVbwc+AHzD\nzF4OXAU8dzjNaxWJbau+K87rgK/Gh6E/EooCT0P9l4u7rzGzLxEeKh8Gzgc+DcxB/ZeJmZ0EHAws\nNLO1hLkwM7+v7n6JmX2DIFgfBF7tU7hQY0bfHU+4V2wBnBH0PWe7+6vVd5NJ9d82ybnn7l9IbbKx\nf6r0n4qICiGEEEI0yFSvcyGEEEII0SgSV0IIIYQQDSJxJYQQQgjRIBJXQgghhBANInElhBBCCNEg\nEldCCCGEEA0icSWEEEII0SASV0IIIYQQDfL/Aa5QHc5c8h9bAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot(Pxx3[:,10])" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAlcAAAEACAYAAACeWFNWAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot(Pxx[:,10])\n", "plot(Pxx2[:,10]/4.0)\n", "plot(Pxx3[:,10]/(1.5**2))" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAlwAAAEKCAYAAADHI4vHAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from scipy.signal import freqz\n", "frq, resp = freqz([1,1])\n", "semilogy(frq, abs(resp))\n", "\n", "frq, resp = freqz([1,0.5])\n", "semilogy(frq, abs(resp))\n", "title('Frequency Response')\n", "grid()" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAlwAAAEKCAYAAADHI4vHAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nmZmZWZf9fw7ot11ng5gGAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "frq, resp = freqz([1,1])\n", "semilogy(frq, abs(resp))\n", "\n", "frq, resp = freqz([1,2])\n", "semilogy(frq, abs(resp))\n", "\n", "\n", "frq, resp = freqz([1,0.5])\n", "semilogy(frq, abs(resp))\n", "title('Frequency Response')\n", "grid()" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAlwAAAEKCAYAAADHI4vHAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nJEkaMgsuSZKkIfv/8gmdc5IhL3IAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "frq, resp = freqz([1,-1])\n", "semilogy(frq, abs(resp))\n", "title('Frequency Response')\n", "grid()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Transfer function\n", "\n", "$$ Y(z) = H(z) \\cdot X(z) $$\n", "\n", "$$ H(z) = \\frac{Y(z)}{X(z)} $$\n", "\n", "\n", "# z-transform\n", "\n", "$$\\mathcal{Z}[x(n-M)] = z^{-M}X(z)$$\n", "\n", "z-transform on the difference equation:\n", "\n", "$$Y(z) = b_0z^{0}X(z) + b_1z^{-1}X(z) + ... + b_Mz^{-M}X(z) - a_1z^{-1}Y(z) - a_2z^{-2}Y(z) - ... - a_Mz^{-M}Y(z)$$\n", "\n", "$$ [1 + a_1z^{-1} + a_2z^{-2} - ... + a_Mz^{-M}] \\cdot Y(z) = [b_0z^{0} + b_1z^{-1} + ... + b_Mz^{-M}]\\cdot X(z) $$\n", "\n", "$$H(z) = \\frac{Y(z)}{X(z)} = \\frac{b_0z^{0} + b_1z^{-1} + ... + b_Mz^{-M}}{ 1 + a_1z^{-1} - a_2z^{-2} - ... - a_Mz^{-M}}$$\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# One-pole filters" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$$y(n) = b_0x(n) - a_1y(n-1)$$" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAloAAAEACAYAAABrptjmAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n0NrTnva0pz3taU97eqD0/wG2E6Kcj/Ro7AAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from scipy.signal import lfilter\n", "filtered4 = lfilter([1],[1, 1], sig)\n", "specgram(filtered4);" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAlwAAAEDCAYAAADgLNoPAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "frq, Y = freqz([1], [1,1])\n", "semilogy(frq, abs(Y))\n" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAlwAAAEDCAYAAADgLNoPAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "frq, Y = freqz([1], [1,0.5])\n", "semilogy(frq, abs(Y))" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAlwAAAEDCAYAAADgLNoPAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAE0JJREFUeJzt3W2MbdV5H/D/w71gDMaYCwYMXAQxxgXHMa4j06a1MlJb\niaRS86GVEqSkkqtUSaW0VT+lqqpy8ynqp0aR1aaSX5SmKo7Sl8iRbflDlaksRXHj2PgF8Av4Ul9e\njB1jbPA1mItXP5w9nnNnzsycOTPrvMz8ftLS3uecfc48s1gwf9beZ+1qrQUAgH4uWXQBAABHncAF\nANCZwAUA0JnABQDQmcAFANCZwAUA0JnABQDQmcAFANBZ18BVVbdX1fur6o96/hwAgGXWNXC11s62\n1n61588AAFh2+w5cVfXBqnq2qr6w5fn7qupLVfXVqvrNwysRAGC1zTLD9aEk940/UVUnkrxveP7u\nJPdX1V0HLw8AYPXtO3C11j6Z5Dtbnn53ksdaa0+01l5J8uEkv1BVp6rq95LcY9YLADiuTh7S59yc\n5NzY4yeT3Ntaey7Jrx/SzwAAWEmHFbjarG+sqpnfCwAwb6212u97DitwPZXk9Njj0xnNck1llsIZ\nqaozrbUzi65jVem/2em7g9F/B6P/Dkb/zW7WiaLDWhbi00neUlW3VdVlSX4xyUcO6bMBAFbaLMtC\nPJjkz5LcWVXnquq9rbULSX4jySeSPJLkD1trjx5uqQAAq2nfpxRba/fv8PzHk3z8wBWxX+uLLmDF\nrS+6gBW2vugCVtz6ogtYceuLLmDFrS+6gOOmWlvsNevDudDfSrLeWltfaDEAABNU1VqStSQPzHLt\n+VIELhfNAwCrYNbc0vVeigAACFwAAN0JXAAAnR3WwqcHUlVn4qJ5AGBJjV00P9v7XTQPADAdF80D\nACwpgQsAoDOBCwCgM4ELAKAzgQsAoDPLQgAA7MGyEAAAc2JZCACAJSVwAQB0JnABAHQmcAEAdCZw\nAQB0ZlkIAIA9WBYCAGBOLAsBALCkBC4AgM4ELgCAzgQuAIDOBC4AgM4ELgCAzgQuAIDOLHwKALAH\nC58CAMyJhU8BAJaUwAUA0JnABQDQmcAFANCZwAUA0JnABQDQmcAFANCZwAUA0JnABQDQmVv7AADs\nwa19AADmxK19AACWlMAFANCZwAUA0JnABQDQmcAFANCZwAUA0JnABQDQmcAFANCZwAUA0JnABQDQ\nmcAFANCZwAUA0NnJRReQJFV1Jsl6a219waUAAGxTVWtJ1mZ+f2vt0IqZqYAZ77oNADBvs+YWpxQB\nADoTuAAAOhO4AAA6E7gAADoTuAAAOhO4AAA6E7gAADoTuAAAOhO4AAA6E7gAADoTuAAAOhO4AAA6\nE7gAADoTuAAAOhO4AAA6E7gAADoTuAAAOju56AKSpCr/L8mFsfbq2P7LSb4/1l7c8vj5JM8l+fb4\ntrX8YL6/BQDAZEsRuJJb/mfyjr9IPvqXGdW00U4kuTzJlUN73dj+lUluTPLWJNcmOTW+rcqrGQWw\nbyR5JsnTQ3tmy/abreXV+fyeAMAqqqq1JGszv7+1dmjFzFRAVWut1eF+ZirJFRkFsBuTvCnJTTts\nT2UUvJ7YoT3ZWi4cZn0AwGqaNbccycC1v5+fS5PckuT2JLdNaDdkFMi+MqF93ewYABwfAlcnVbks\nya1J3pLkzi3t+iRnsxnAvpzki0keaS0vLKRgAKAbgWsBqnJFkjdnM4DdleRtw/ZbGYWvh4f2xSSP\ntpbzi6kWADgogWuJVOVERqco35bkJ4ft2zIKZU9nM4h9PslDSb7q1CQALD+BawVU5WSSO7IZxH4q\nyTsyurD/4YzC10NJPpfk863lxQWVCgBMIHCtsKq8PqPwdU9GAeyejELZk9kMYBth7OnWsth/aABw\nTAlcR8wwG3ZnRuFrI4i9M0kl+UySvxzbPiGEAUB/AtcxMKwv9qYkfz3Ju8ba5dkMXxvtrBAGAIdL\n4DrGqnJjLg5g78po4dfxEPaZJI8LYQAwO4GLi1TlhmyfCbsqyWdz8UzY463lR4uqEwBWicDFnqpy\nfbaHsKuzPYQ9JoQBwHYCFzOpyhuzPYRdk+3XhAlhABx7AheHpirXZTOE/XQ2Q9j4TNinI4QBcMwI\nXHS1JYRttFPZfjryq0IYAEeVwMXcVeXajELYxizYu5Jcm+0zYUIYAEeCwMVSGAth4zNh12X7TNhX\nhDAAVo3AxdLaJYQ9lM1ZMCEMgKUncLFSqnIq20PYG7MZwsZnwl5dVJ0AME7gYuXtEMKuz+aNuzfa\nw63lpUXVCcDxJXBxJFXlmoxu2v2ObN7I+y1JHs/FIexzreWvFlUnAMeDwMWxUZXXJLk7mwFso72Q\n7bNhX3NdGACHReDiWKtKJbkt20PYNUk+n+2nJH+wmEoBWGUCF0wwXBf2U7k4hL01yRNJvrClnTUb\nBsBuBC6YUlUuS/LXkrx9SzuV5OFsCWKt5VsLKhWAJSNwwQFV5Q1JfjLbg9hL2T4b9khrOb+gUgFY\nEIELOhiuDbsl20PYnUnOZQhfY+0rrg8DOLqWMnBV1ZVJ/mOSl5Ost9b+24RjBC5WTlUuzWh5ircn\nuSujb03eneTNSZ7KxSHskSRfai0vLqZaAA7LsgauX0nyXGvto1X14dbaL004RuDiyBiC2E9kM4Bt\ntLcm+WZG4evRbAaxR1vL84upFoD9mjW3nJzhB30wyd9P8s3W2tvHnr8vye8kOZHk/a21f5/k5iSf\nGw5xexaOvNbySpIvD+1/bTxflRMZLVuxMRv2niS/luSuqnwvwyxYkq+Mvf+cb00CHA37nuGqqvck\neTHJf9kIXFV1IqM/EH83o9Mpf5Hk/oxuzfKdYYbrwdba/RM+zwwXx9ZwjdjpbM6CjbdTSR7LZgD7\ncRgzKwawGHM9pVhVtyX5k7HA9TeTPNBau294/K+HQ383yfsy+pbXJ1trDx5W4XDUVeV1GV0nthHA\n7hzbvpTNIDYexr7WWn64kIIBjoG5nVLcwc0ZfWNrw5NJ7m2tnU/yT/Z6c1WdGXu43lpbP6S6YGUN\nF9l/dmg/NsyK3ZiLZ8N+dtiersq5jGbGNtrjw/Zsa3l5br8AwBFQVWtJ1g76OYcVuA505X1r7cwh\n1QFHXmtpSZ4Z2vr4a8Oirj+R5I6MvjF5R5L7hv1bq/JsLg5hG/uP+xYlwHbDJND6xuOqemCWzzms\nwPVURtehbDid0SwXMEfD6cQvDe0iVTmZ0b+bd2QzkP3MsH3zcPH+1lmxryU5m+RbQ9ADYAaHdQ3X\nyYyuH/k7SZ5O8n+T3N9ae3SKz3INFyxYVS5J8qZszoqNb29L8tqM7j95dsL2bJLnBTLgOJjbRfNV\n9WBG14tcm9G6Qv+utfahqvq5bC4L8YHW2m9P+XkCFyy5qlyVUfC6fWjj+7dndFnBpDD2REbXjr0w\n34oB+ljKhU+nKqCqJfmtuFgeVtJwEf81uTiIbWw39s8n+frQzk3Yf6Y1a/UBy2vs4vkHVjZwmeGC\no2sIZNcnuTWja8hu3bJ/Osl1GX0JYKdA9vU4bQksgZWe4RK44HirymsyWl5mPIRtDWYnshm+nszo\nyzob7elh+1dW5wd6EriAI60qV2cUvjbazUO7aWz/qiTfyOQw9uP91vL9edcPHA0CF3DsVeXyjL5t\neXMmB7KN/ZdzcRB7JqOg9o0kz47tf9dpTGCcwAUwhbGL/McD2I07tMuyGb62hrGLnm8t5+f6iwAL\nsdKBK76lCCyhqlyR5IZsD2KTnvthLg5m39qhfTPJt1vLhXn+LsDB+JYiwIINs2ZX5+Iw9sZd2jVJ\nvpedQ9m25qbksBxWeoZL4AKOk6qcyCh07RbKrh/bvzbJS0meG9q3p9z/Tmt5ZV6/FxwHAhfAETXM\noF2VUfA6NbRp9q9J8oPsHsyeT/LdLdvnM/rCgLAGWwhcAFxkCGqvz+QwtvH46iRvGNuO77+c7WHs\nolC2w/Z7SV5I8oI7CHDUCFwAHJohrF2R7SFsUjDbuv/6jGbkrswotL1wSO28hW1ZtFlzy8kexexX\nVZ2JbykCLI1h/bHvD+2pWT6jKpdkFNqumqLdNMUxl1fl5aGm87tsd3tt0jHnM7pG7uVhe8H6a2w1\n9i3F2d5vhguAVTAEuMszmjm7YsJ20nN7HXPl8Jkb7bXDj3tpj/bylMf8MMkrQ/vhlu1ez2173Sna\nxXNKEQAOQVVOZhS+XpOLw9hubadjL0ty6dAm7e/39WQUvi4keTXJj4btLG2n97YtLROem/Ta/2kt\n/2kfXb2SVvqUIgAsi2FR2heHtlSGJUUuy+jv94kklwzbWdpO762xli2Pd3vtiR6/81EhcAHAihhO\nKf5g0XWwf5csugAAgKNO4AIA6EzgAgDobCmu4bIOFwCwzKzDBQAwJ7PmFqcUAQA6E7gAADoTuAAA\nOhO4AAA6E7gAADoTuAAAOhO4AAA6s/ApAMAeLHwKADAnFj4FAFhSAhcAQGcCFwBAZwIXAEBnAhcA\nQGcCFwBAZwIXAEBnAhcAQGcCFwBAZ27tAwCwB7f2AQCYE7f2AQBYUgIXAEBnAhcAQGcCFwBAZwIX\nAEBnAhcAQGcCFwBAZwIXAEBnAhcAQGcCFwBAZwIXAEBnAhcAQGcnF11AklTVmSTrrbX1BZcCALBN\nVa0lWZv5/a21QytmpgJmvOs2AMC8zZpbnFIEAOhM4AIA6EzgAgDoTOACAOhM4AIA6EzgAgDoTOAC\nAOhM4AIA6EzgAgDoTOACAOhM4AIA6EzgAgDoTOACAOhM4AIA6EzgAgDoTOACAOhM4AIA6OzkogtI\nkqo6k2S9tba+4FIAALapqrUkazO/v7V2aMXMVEBVa63VQosAAJjCrLnFKUUAgM4ELgCAzgQuAIDO\nBC4AgM4ELgCAzgQuAIDOBC4AgM4ELgCAzgQuAIDOBC4AgM4ELgCAzgQuAIDOBC4AgM4ELgCAzgQu\nAIDOBC4AgM4ELgCAzgQuAIDOBC4AgM4ELgCAzgQuAIDOBC4AgM4ELgCAzgQuAIDOBC4AgM4ELgCA\nzroGrqq6vareX1V/1PPnAAAss66Bq7V2trX2qz1/BgDAspsqcFXVB6vq2ar6wpbn76uqL1XVV6vq\nN/uUyG6qam3RNawy/Tc7fXcw+u9g9N/B6L/5m3aG60NJ7ht/oqpOJHnf8PzdSe6vqruq6leq6j9U\n1U2HWyo7WFt0AStubdEFrLC1RRew4tYWXcCKW1t0AStubdEFHDdTBa7W2ieTfGfL0+9O8lhr7YnW\n2itJPpzkF1prf9Ba+1ettaer6lRV/V6Se8yAAQDH1ckDvPfmJOfGHj+Z5N7xA1przyX59QP8DACA\nlVettekOrLotyZ+01t4+PP6HSe5rrf3T4fEvJ7m3tfbP91VA1XQFAAAsgdZa7fc9B5nheirJ6bHH\npzOa5dqXWYoGAFglB1kW4tNJ3lJVt1XVZUl+MclHDqcsAICjY9plIR5M8mdJ7qyqc1X13tbahSS/\nkeQTSR5J8oettUf7lQoAsJqm/Zbi/a21m1prr2mtnW6tfWh4/uOttbe21u5orf32bp8xzZpdVfW7\nw+ufq6p37v/XObr26r+qWquq71bVZ4f2bxdR5zLaaR25LccYexPs1XfG3e6q6nRV/WlVPVxVX6yq\nf7HDccbfBNP0nzE4WVVdXlWfqqqHquqRqpr4N9rYm2ya/tv32GutdW9JTiR5LMltSS5N8lCSu7Yc\n8/NJPjbs35vkz+dR2yq0KftvLclHFl3rMrYk70nyziRf2OF1Y2/2vjPudu+/G5PcM+y/LsmX/bfv\n0PvPGNy5/64YtieT/HmSv73ldWPvYP23r7E3r5tXT1yza8sx/yDJ7ydJa+1TSd5QVTfMqb5lN03/\nJYkvIEzQJq8jN87Y28EUfZcYdztqrX2jtfbQsP9ikkeTbF0U2vjbwZT9lxiDE7XWzg+7l2X0P+7P\nbTnE2NvFFP2X7GPszStwTVqz6+Ypjrmlc12rYpr+a0l+ZpgW/lhV3T236lafsTc7425Kw9I670zy\nqS0vGX9T2KX/jMEdVNUlVfVQkmeT/Glr7ZEthxh7u5ii//Y19g6yLMR+TLvW1takaI2ukWn64TNJ\nTrfWzlfVzyX54yR39i3rSDH2ZmPcTaGqXpfkvyf5l8NMzbZDtjw2/sbs0X/G4A5aaz/K6E4vVyf5\nRFWttdbWtxxm7O1giv7b19ib1wzXNGt2bT3mluE5pui/1toLG9OfrbWPJ7m0qk7Nr8SVZuzNyLjb\nW1VdmuR/JPmvrbU/nnCI8beLvfrPGNxba+27ST6a5Ke3vGTsTWGn/tvv2JtX4Jpmza6PJPnHSVJV\nfyPJ8621Z+dU37Lbs/+q6oaqqmH/3RndRWDS+Wa2M/ZmZNztbuibDyR5pLX2OzscZvztYJr+MwYn\nq6rrquoNw/5rk/y9JJ/dcpixt4Np+m+/Y28upxRbaxeqamPNrhNJPtBae7Sqfm14/T+31j5WVT9f\nVY8l+X6S986jtlUwTf8l+UdJ/llVXUhyPskvLazgJVOjdeR+Nsl1VXUuyQMZfdvT2NvDXn0X424v\nfyvJLyf5fFVt/Mf63yS5NTH+prBn/8UY3Mmbkvx+VV2S0eTKH7TW/re/u1Pbs/+yz7E39b0UAQCY\nzbxOKQIAHFsCFwBAZwIXAEBnAhcAQGcCFwBAZwIXAEBnAhcAQGcCFwBAZ/8fSyIuIAP+/+sAAAAA\nSUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "frq, Y = freqz([1], [1,-0.5])\n", "semilogy(frq, abs(Y))" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAl4AAAEACAYAAABiTXicAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n+f+5VeKiqvmzDwAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "frq, Y = freqz([1], [1,-0.5])\n", "plot(frq, angle(Y))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$$H(z) = \\frac{b_0z^{0} + b_1z^{-1} + \\cdots + b_Mz^{-M}}{ a_0z^{0} + a_1z^{-1} + a_2z^{-2} + \\cdots + a_Mz^{-M}}$$\n", "\n", " * FIR filters are always stable\n", " * IIR filters can produce steeper filters with smaller orders" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Pole-zero analysis" ] }, { "cell_type": "code", "execution_count": 29, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "(array([-1., -1.]), array([], dtype=float64), 1.0)" ] }, "execution_count": 29, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from scipy.signal import tf2zpk\n", "\n", "tf2zpk([1,2,1],[1])" ] }, { "cell_type": "code", "execution_count": 30, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "(array([], dtype=float64), array([-1.]), 1.0)" ] }, "execution_count": 30, "metadata": {}, "output_type": "execute_result" } ], "source": [ "tf2zpk([1],[1, 1])" ] }, { "cell_type": "code", "execution_count": 31, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "(array([-1.]), array([], dtype=float64), 2.0)" ] }, "execution_count": 31, "metadata": {}, "output_type": "execute_result" } ], "source": [ "tf2zpk([2, 2],[1])" ] }, { "cell_type": "code", "execution_count": 32, "metadata": { "collapsed": false }, "outputs": [], "source": [ "def PoleZeroPlot(b, a):\n", " (zeros,poles,gain) = tf2zpk(b, a)\n", " angle = np.linspace(-np.pi,np.pi,50)\n", " cirx = np.sin(angle)\n", " ciry = np.cos(angle)\n", " figure()\n", " plot(poles.real, poles.imag, 'x', zeros.real, zeros.imag, 'o', cirx,ciry, 'k-')\n", " grid()\n", " \n", " xlim((-2, 2))\n", " xlabel('Real')\n", " ylim((-1.5, 1.5))\n", " ylabel('Imag')\n", " gcf().set_figwidth(5)\n", " return (zeros,poles,gain)" ] }, { "cell_type": "code", "execution_count": 36, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "(array([ 1., 1.]), array([], dtype=float64), 1.0)" ] }, "execution_count": 36, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAVYAAAEPCAYAAAAZLuy8AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzt3XmcXFW57vHfAwmKIAIiQSASQUBBPQwKARzCQTSgBDgi\nghPghHpQuaIioALXo+KMiCgKGBxxuILMEhQQPYxCAJUwCOEwD4dBECLTc//Yq6HSqequrt5Va1XV\n+/18+pMadqqeXt15s+vda68t24QQQqjPUrkDhBDCoInCGkIINYvCGkIINYvCGkIINYvCGkIINYvC\nGkIINctaWCUdJ+lOSVe1eH6WpAckXZ6+Pt3rjCGEMFFTMr//D4BvAT8cY5vzbM/pUZ4QQpi0rHus\nts8H7htnM/UiSwgh1KX0HquBLSVdIel0SRvkDhRCCOPJ3QoYz2XAdNsPS9oOOAlYL3OmEEIYU9GF\n1faDDbfPkHSUpJVt39u4naRY8CCE0BW2J9yOLLqwSpoG3GXbkjYDNLqojujkm+8GSYfYPiRyPC2y\nNBdZmissS0c7bVkLq6SfAa8FVpF0M3AwMBXA9tHALsAHJT0OPAzslivrBMzIHSCZkTtAgxm5AzSY\nkTtAgxm5AzSYkTtAgxm5A0xW1sJqe/dxnv828O0exQkhhFqUPiugH83NHSCZmztAg7m5AzSYmztA\ng7m5AzSYmztAg7m5A0yWBmGha0kupccaQhgcndaW2GOtmaRZuTNAOTkgsrQSWZorKUunorCGEELN\nohUQQggtRCsghBAKEYW1ZqX0h0rJAZGllcjSXElZOhWFNYQQahY91hBCaCF6rCGEUIgorDUrpT9U\nSg6ILK1EluZKytKpKKwhhFCz6LGGEEIL0WMNIYRCRGGtWSn9oVJyQGRpJbI0V1KWTkVhDSGEmkWP\nNYQQWogeawghFCIKa81K6Q+VkgMiSyuRpbmSsnQqCmsIIdQseqwhhNBC9FhDCKEQUVhrVkp/qJQc\nEFlaiSzNlZSlU1FYQwihZtFjDSGEFqLHGkIIhYjCWrNS+kOl5IDI0kpkaa6kLJ2KwhpCCDXL2mOV\ndBzwRuAu2y9rsc0RwHbAw8Ceti9vsk30WEMItevXHusPgNmtnpS0PfAi2+sC7we+06tgIYTQqayF\n1fb5wH1jbDIHOD5texGwoqRpvcjWqVL6Q6XkgMjSSmRprqQsncq9xzqeNYCbG+7fAqyZKUsIIbRl\nSu4AbRjd3yh64q3tc3NngHJyQO+ySFoKWB1YJ32tDTyzyXZvaowH3A5cD/wduMH2I91PO5w/o3aU\nlKVTpRfWW4HpDffXTI8tQdJcYGG6ez8wf+QHNPLRIu4PzP1tgA2oiuI6wOZUBXUa1c/+HqrfkwvS\n/XWo/D392Xh/aWAr4C3ASsAMSQ8CtwF/TttMAa60fWIh33/c79L9dHtPKgvpUPYzryTNAE5pNisg\nHbzax/b2kmYCh9ue2WS7YmYFSJpVwv+4peSAerKk35M3UB3s3Jqq4F3C03uaI3ubD00mi6Slqf4D\nH9nrfRHwEuA16T1+C5wJXGD7sUl+TwP1M6pLYVk6qi1Z91gl/Qx4LbCKpJuBg4GpALaPtn26pO0l\nXQ/8E9grX9rQS5KeRfW7MVJMVwLOAn4F7G37rm68r+0ngJvS1+8b8kwFZqY8XwdeJOkcqiL7W9sL\nu5En9Kfse6x1KGmPNUyOpFcCHwF2Ai7j6T3E+bafzJmtkaRVgW2piv7rgTuAI4Gf2H44Z7ZQn05r\nSxTWkF3aG3wzVUF9PlWB+oHte7MGa1M6aLYNVf6ZwDHAUbZvHvMvhuL16wkCA6eUOXil5IDWWSQ9\nT9JBwI3A3sCXqU4I+Vq3imo3xsX2k7bn2d4B2AJYFrhC0i8kvUpS03+Y/fAzyqGkLJ2Kwhp6TtJL\n0unM1wIvBN5oe2vbJ6UeZ9+yfb3tfYG1gPOB44BLJb0zHRgLQyBaAaFnJD2b6gDlHsDhwNG278mb\nqrtSm2A2cBDwDOBDti/Omyq0K1oBoViq7AZcDTwX2ND25we9qMJTbYLTgVcB3wR+I+l7klbJHC10\nURTWmpXSHyooxwZUE+0/BbzV9l7dmirVZp5ZOd7XlR9RzYl9BPibpK+V0h4o5fcFysrSqSisoSsk\nPVvSV4DzqHqNr7D9p8yxsrN9v+2PUk3Vej1wYZpiFgZI9FhD7SS9ATgWmAd8yvadmSMVKc0WeCfw\nJeDXwH62F+VNFRrFPNYorNmlQnEAsA/wdtvnZI7UFyStCHwfeAHwZtu3ZI4Ukjh4VYhS+kO9zpGO\n+P+Kag3dVzYW1VLGBMrMYvt+YFfgROBiSa/JlaUEJWXpVBTWMGmS1gUuBO4FXmu76QpkobV0cOsw\nqvUwfinpw61OLAjli1ZAmBRVa5seB3za9vdy5xkEktam2nudD3zAPVofNiwpWgGhpyQtJemzwHeB\nHaOo1sf2DcCWwDLAHyWtlTlSmKAorDUrpT/UzRxp7uUPqZbQe6XtC3Jlmah+yWL7n8DbgJ8AF0ja\nMFeWXispS6dKv4JAKEw6RfP7VCv2vy4+pnaPqz7d1yXdCZwlaWvb1+bOFcYXPdbQtnQw5dvAy4DZ\naa8q9ICkdwOHALNSqyD0QF9eQSD0j1RUvw5sCmwbRbW3bB8n6ZnA7yS91vb/5M4UWosea81K6Q/V\nmSMV1S9QXSpltu1/5MoyWf2cxfZRwBFUxXX1nFm6qaQsnYo91tCOzwBvAra2fV/uMMPM9jfSnuvZ\n6aJ72Ra0Ca1FjzWMSdIngPdQTfyPc/4LIelQYGeqnmtfXMKmH8VaAVFYayfpjcB3gC3ibKqypPbM\n4VSX596hpAstDpI4QaAQpfSHJptD0nSqFareNtmiWsqYwOBkSVOxPk51WfD9cmapW0lZOhWFNSwh\nXTX1Z8Dhtv+YO09ozvZjwG7AxyVtmTtPeFq0AsISJH0R2IjqIn/xEbNwknagumT4Jrb/N3eeQRI9\n1iistZA0m+rMqk1s3507T2iPpK8C6wNzPAj/qAsRPdZClNIf6iSHpDWAuVSLVNdWVEsZExjoLAcA\nzwM+VkCWSSkpS6eisAYAJE2h6qseafsPufOEiWnot+4vaWbuPMMuWgEBAEkHAbOozqx6InOc0CFJ\nO1JNw9rQ9sO58/S76LFGYe1YagFcCWxqe2HmOGGSJP0CuMr253Jn6Xd92WOVNFvSAknXSdq/yfOz\nJD0g6fL09ekcOSeilP7QBHN8ATi6W0W1lDGBocmyP/DRiawnMCTj0jPZ1gpIiyUfCbwOuBW4RNLJ\ntq8etel5tuf0POCQSNe035bqiHIYALZvlPR9qv8w98wcZyhlawVI2gI42PbsdP9TAOmCaiPbzKK6\n1voO47xWtAI6kE6LPB/4ge1jc+cJ9ZG0AnAN1emul+bO06/6sRWwBnBzw/1b0mONDGwp6QpJp0va\noGfphsNbgOWopliFAZKWdvwM8I242mvv5Vw2sJ1d5cuA6bYflrQdcBKwXrMNJc0FFqa79wPzbZ+b\nnpsF0Iv7jf2hHO/fcH8j24eP8fwywJeoLrf8akndzLMvmX4eo+8X9PN5KkMXX/8HwD7AZyWdN8nf\nl17ez/b7km7vmcZvIR3K2QqYCRzS0Ao4AHjS9pfG+Ds3Uh25vnfU48W0AlStkXlu6TnSeL/S9n/k\nztJLw5ZF0tZUlyd/ie1FObO0q7As/TXdKk1IvwbYBrgNuBjYvfHglaRpwF22LWkz4Be2ZzR5rWIK\naz+QtAqwAJhp+/rceUJ3SToJ+JPtr+TO0m86rS3ZWgG2H5e0D/BbYGngWNtXS9o7PX80sAvwQUmP\nAw9TnVkSJu89wClRVIfGocBvJH3D9uO5wwyDOEGgZqV8jGmVI01zux54S6+OFpcyJjC8WSRdABxm\n+ze5s4ynsCx9Nysg5DEbuDum4Aydo4AP5Q4xLGKPdchIOg34pe25ubOE3lF1AcL/AbayfV3uPP0i\n9ljDuCStDWwG/Dx3ltBbaUbAccAHc2cZBlFYa9Y4RzGnFjk+AMy1/UgBWbIY8ixHA++S9KwCsrRU\nUpZORWEdEpKWpToZ4Lu5s4Q8bN8IXEjMrum66LEOCUnvoponvF3uLCEfSdsDnwNe4UH4x99l0WMN\n43kPsbca4ExgZeDluYMMsiisNSulP9SYQ9JzgE2As3JnyW3Ys7i66u6pwGKfXIZ9XOoWhXU4bEN1\nSmNPD1qFYp1JNZ85dEn0WIeApKOBBba/kTtLyE/ScsAdwOq2H8ydp2TRYw1NSRLwBqo1GULA9j+p\nFj3aOneWQRWFtWal9IcacqxHtcjN6Eve5MiSXWR5ym+p/sMFsmdZTElZOhWFdfC9ATgzptaEUc6k\nobCGekWPdcBJOh04zvavcmcJ5UgtoluB18Tyka1FjzUsIS288Srgd7mzhLKkTzBnEXutXRGFtWal\n9IdSji2Av9q+r4AsRYgsizmL6vLzJWR5SklZOhWFdbC9FJifO0Qo1nxgw9whBlH0WAeYpCOB60eu\nvhlCI0nPAB4AVrD9aO48JYoea2hmfaoLNoawBNv/Am4B1s6dZdBEYa1ZKf2hlGM9CiispYwJRJYm\nrgHWKyQLUMy4TEoU1sH1DGBV4KbcQULRrqX6ZBNqNG6PVdLKTR5+0PZj3Yk0cdFjXZKkfwN+ajsO\nToSWJH2Aam3W9+bOUqJu9lgvA+4Brktf9wA3SbpM0qYTfcPQM9FfDe24hthjrV07hXUesJ3t59p+\nLtVyY6cC/wl8p5vh+lFB/aE3UEhhLWhMIsuSosfaBe0U1i1sP7Uyku2z0mMXAMt0LVmYrOkUUlhD\n0W4HlgWWzx1kkExpY5vbJe0PnAAI2BW4U9LSwJPdDNePbJ+bO0OD23MHgLLGJLIskcGSbgf+njvL\niBLGZbLa2WN9G9Xez0nAicALgN2plqLbtXvRwiQ9E4grBoR2LKKaRRJqMm5htX237X1sb5y+9kmP\nPRqr4iypoP7Q86j+wWRX0JhEluYWAVvmDjGioHHp2LiFVdKqkr4q6XRJ56Sv39fx5pJmS1og6brU\nbmi2zRHp+SskbVzH+w6JqcC/cocIfWER1e9LqEk7rYCfAAuoTns7BFgIXDrZN0492iOpZhlsAOwu\n6SWjttkeeJHtdYH30wezEArqDz1BIXusBY1JZBlFq+pglmULpvN5rau7taoOzp2phHGZrHYK63Nt\nHwM8avs823sB/17De29GtUDIwnSywQnAjqO2mQMcD2D7ImBFSdNqeO9h8ExijzWMQavqYKZzENOZ\nylYsxztYhekcVEJx7XftFNaRVW/ukPQmSZsAK9Xw3msANzfcvyU9Nt42a9bw3l1TUH/o2RSyx1rQ\nmESWRs9hH+YwlSnAbemxOUzlOeyTM1b2calBO9OtPi9pRWA/4FvACsD/qeG9212vcPTpZE3/nqS5\nVG0KgPuB+SMfKUZ+UEN2f1lSYc2dB9hIUu7xKO7+iGzvv0Hqqy4C7m0I9CjLSpo1jL8v6faeKcdC\nOpRtPVZJM4FDbM9O9w8AnrT9pYZtvguca/uEdH8B8Frbd456rVgrYBRJi4CVbMeUq9CU1tXdvINV\nOJnqs+HICeo/5h5f5+dljFaMrq0VIGltSd+QdKKkU9LXyZ3FXMylwLqSZkhaBngrMPp1TwbelXLM\nBO4fXVRDS1OBx3OHCAV7gCM5mcdYiupQJ8BveIwHODJnrEHQTivgJOAY4BSePtNq0ru5th+XtA/V\n9c2XBo61fbWkvdPzR9s+XdL2kq4H/gnsNdn37bbGj1CZPUTVC78rd5CCxiSyNPBdPlSrCh7mAG7E\nXMtDPMCRvsuH5soE+celDu0U1kW2j+jGm9s+Azhj1GNHj7qftZHex+4FVqOAwhrK5bt8qKSt+Scn\n+x5/PXeeQdHOeqzvBNah2rN8avqO7cu6G6190WNdkqTfAYfZnpc7SyibpKuBXWz/NXeW0nRaW9rZ\nY90QeCewNYsvurL1RN8s9NSdQMz5De2YRvX7EmrSzjzWtwAvtP1a21uPfHU7WL8qaA7eVAoprAWN\nSWRZMsMyVHOeX5Y7y4gSxmWy2imsV1HPCQGht+6jkMIairYqcDc1HJAOT2unx3oe8HLgEp7usdr2\nnC5na1v0WJckaS9glu09cmcJ5VJ1eaVjbMcCR010s8ca5w33pzuIPdYwvmlUvyuhRu2sx3pus68e\nZOtLBfWH1qSQwlrQmESWJU2juiLIrNxBRpSUpVMt91glPUTrvottr9CdSKEmtwMvkrS07SfG3ToM\nq/WBG3KHGDTZ1gqoU/RYm5N0LfBm21flzhLKJOkcqvnOvx134yHUtbUCQl+7CNg8d4hQJlWLzW8K\nXJw7y6CJwlqzUvpDKUcRhbWUMYHIMsoGwO227ysgy1NKytKpKKyD7SKqKzWE0MxmVL8joWbRYx1g\n6aya+4Bpth/KnSeURdL3gCtsfzt3llJFjzUswfajVGfObTretmEobU70V7siCmvNSukPNeTI3mct\nZUwgsjS89/LAi4ArcmcZraQsnYrCOviyF9ZQpE2BK9OnmlCz6LEOOElrUa3zsLrtuFRLAEDSwcAK\ntvfLnaVk0WMNTdm+CbgJmJU5SiiEJAG7Ab/MnWVQRWGtWSn9oVE5TgB2zxSlmDGByJK8nOry6E9N\ntYpxqVcU1uHwC2AnSc/IHSQUYTfgBA9CH7BQ0WMdEpL+AHzF9im5s4R8UhvgBmAn21fkzlO66LGG\n8WRtB4RibA4sAq7MHWSQRWGtWSn9oSY5fgVsL2m5ArJkE1matwFiXOoVhXVI2L6L6mDFG3NnCXmk\n1ax2pfr0ErooeqxDJF0Hawfb/5E7S+i9tCf4ddub5M7SL6LHGtpxIjBL0pq5g4Qs9gZ+nDvEMIjC\nWrNS+kPNcti+HzgO+GTuLLkMaxZJ6wPbAN/PnWU8JWXpVBTW4fNV4B2SVssdJPTUgcARth/MHWQY\nZOmxSloZ+DmwFrAQ2DXtTY3ebiHwD+AJ4DHbTRdtjh7rxEj6JtV4fjx3ltB9ktahOnC5ju0Hcufp\nJ53WllyF9cvAPba/LGl/YCXbn2qy3Y3AprbvHef1orBOgKQ1qNZpXd/23bnzhO6SdAxwm+3P5s7S\nb/rt4NUc4Ph0+3hgpzG27auCWUp/aKwctm+l+sTwsdxZem3YsqTVzXYGDs+dpV0lZelUrsI6zfad\n6fadwLQW2xk4W9Klkt7Xm2hD4zDg/aktEwbXp4DvjfepL9RrSrdeWNI8oNkBkoMa79i2pFb9iK1s\n3y7pecA8SQtsn9/i/eZS9WsB7gfm2z43PTcrvVfX79s+t5fvN9b9hrFp9fyJwEfTteW7lmfksdzj\nUdrPpwc//+uAtwJ7tTP+I3LnH3ksx/un23umGAvpUK4e6wJglu07JD0fOMf2i8f5OwcDD9n+WpPn\nosfagYaDGi+2fU/uPKFeko4CHonFrDvXbz3Wk4E90u09gJNGbyDpWZKenW4vB7ye6oBL0UrpD7WT\nw/bfqXrc38ydpVeGJYukrah6q1/InWWiSsrSqVyF9TBgW0nXAv+e7iNpdUmnpW1WA86XNJ9qr+pU\n22dlSTvYPgNsLmmH3EFCPSQ9EzgW+LDt/82dZxjFWgFhZA/hR8DLms0nDv1F0heBdW3vkjtLv+ur\neax1i8I6eZK+A0yxHbMv+pikTYAzgH+zfUfuPP2u33qsA6uU/lAHOfYHXi/pdQVk6ZpBziJpKtVa\nEB+faFEd5HHJIQprAMD2P6hWP/q+pOVz5wkd2R+4jVjBKrtoBYTFpPnA/7D9kdxZQvskbQicC2xi\n++bMcQZGtAJCXT4GvFnS7NxBQnvSdMQfAZ+OolqGKKw1K6U/1GmOdOrjrsAPJb00Z5ZuGLQskpai\n+uh/JfC9nFnqUlKWTkVhDUuw/SdgX+BUxbqtpTsMWAl4vwehrzcgoscaWkqnEW9PdfrxI7nzhMWp\nWpjoE8AWcSJAd8Q81iistZMkqo+ZU4HdbD+ZOVJI0rS4HwOvtn1d7jyDKg5eFaKU/lAdOdJHy/cA\nqwOfy5mlLoOQRdJLgJ8Cb62rqA7CuJQkCmsYk+1FVIt57CZpz8xxhp6qJTRPBT5h+7zceUJz0QoI\nbZH0YuA8YG/bS6xGFrpP0nOpTlc92/aBufMMg2gFhK6yvYDqQNZ3JL03d55hI+kFwB+Bcxi1WHwo\nTxTWmpXSH+pGDtt/Bl4DHCjpoHRwK0uWTvVjlnRW1R+B79vevxvTqvpxXEoWhTVMSDpYshXVSQRH\npAnqoUskbQn8HjjQ9tdz5wntiR5r6Iik5wC/Ae4A9rD9r8yRBo6kNwI/AN5l+8zceYZR9FhDT9l+\nAJhNNcf11JHL6IR6SNoDOAbYIYpq/4nCWrNS+kO9yJGmYu0K3ACcmy5OmCVLu0rPImmKpEOAQ4Gt\nbV+UK0suJWXpVBTWMCm2nwA+APwQuFDS+9o9qBUWJ2ld4HxgS2DLNBMj9KHosYbaSNqA6jTLW4H3\n2r4zc6S+kP4jej/wX8D/Bb4dpw+XIXqsITvbfwNmUi1hN1/STpkjFS+tHnYq8D7gNba/FUW1/0Vh\nrVkp/aFcOWw/avsg4M3AVyUdK2n7HFmaKeXnAyDpM8B84M9UK1RdnTHLrFzvPVpJWToVhTV0he3/\nBjYCngCOkTQ7eq8VSatJOp7qGmM72f6s7cdy5wr1iR5r6Lo0H/NrwF3AZ4Z18RBJqwCfBN5LNT/1\nYNsP5U0VxhI91lAs26cBL6Wal3mcpLMlbZE5Vs9IWknSfwHXAMsDL7O9XxTVwRWFtWal9IdKyQFV\nFtuP2/4h8GLgBODnkk6TtEmvs/TwvVZIfdTrgNWATW1/yPatvc4ynshSryisoadsP2b7GGBdqiXw\nTpH0a0mbDUoPVtIqkj5JVVDXozow9V7bC/MmC70SPdaQlaRlgQ+mL1OtjP+TfrvcSLoE9Rzg7cCr\nqKZQfSFNQQt9qq96rJLeIumvkp4Y66NgOpK8QNJ1kvbvZcbQG7YfSas2rUdVlFYE/iDpYkn7lnyV\nWElTJW0naeSkiHdRtTmm235HFNXhlasVcBXV5T7+0GoDSUsDR1It9LEBsHu61k/RSukPlZID2svi\nyiW29wWmUy3mvBFwtaSzJL1b0rqTbRdMdlwkPUfS6yQdSVVMPwtcCKxnezvbP7b9YC+y1Cmy1GtK\njjcdOQd6nH8jmwHXj/SlJJ0A7Ahkm0QdesP248A8YF5qFbwJ2AU4GFhB0qXAxcAlwCUjB4Pqlt57\nY+CVDV9rAJcDZ1H1Tv/ejfcO/S1rj1XSOcB+ti9r8twuwBtsvy/dfwewue0PN9k2eqxDQtI0Fi90\nmwGPUhXZK4F7gHuB+9KfI7fvs/1oeg0BKwArAyulPxtvvzC99vpU/5Ffkr4uBq5OhT8MgU5rS9f2\nWCXNo5piMtqBtk9p4yX6/6haqF1a2OXU9DVSJGdQFcINgHXS7dEFcyVJI7/vTwAPs3jhbfzzSuA4\nYH5aGjGECelaYbW97SRf4laqXtuI6cAtrTaWNBdYmO7eT/WP4tz03KyUqev3G/tDOd6/4f5Gtg/P\n+P6N9/elSz8P25a0FnCX7V+MtT3wN6qe/a3AE+O8/jNHimq3xmfksQJ+PrMYkt+X8e6n23tSWUiH\nSmgFfNzVRepGPzeF6kyVbYDbqD6G7e4mC1WU1ApQNRn+3MjxtMjSXGRprrAsHdWWLIVV0s7AEcAq\nwAPA5ba3k7Q61ZUo35i22w44HFgaONb2F1u8XjGFNYQwOPqqsNYtCmsIoRs6rS1xSmvNSpmDV0oO\niCytRJbmSsrSqSisIYRQs2gFhBBCC9EKCCGEQkRhrVkp/aFSckBkaSWyNFdSlk5FYQ0hhJpFjzWE\nEFqIHmsIIRQiCmvNSukPlZIDIksrkaW5krJ0KgprCCHULHqsIYTQQvRYQwihEFFYa1ZKf6iUHBBZ\nWokszZWUpVNRWEMIoWbRYw0hhBaixxpCCIWIwlqzUvpDpeSAyNJKZGmupCydisIaQgg1ix5rCCG0\nED3WEEIoRBTWmpXSHyolB0SWViJLcyVl6VQU1hBCqFn0WEMIoYXosYYQQiGisNaslP5QKTkgsrQS\nWZorKUunorCGEELNoscaQggtRI81hBAKkaWwSnqLpL9KekLSJmNst1DSlZIul3RxLzN2qpT+UCk5\nILK0ElmaKylLp3LtsV4F7Az8YZztDMyyvbHtzbofqxYb5Q6QlJIDIksrkaW5krJ0ZEqON7W9AEBq\nq3XRb73TFXMHSErJAZGllcjSXElZOlJ6j9XA2ZIulfS+3GFCCKEdXdtjlTQPWK3JUwfaPqXNl9nK\n9u2SngfMk7TA9vn1peyKGbkDJDNyB2gwI3eABjNyB2gwI3eABjNyB2gwI3eAyco63UrSOcB+ti9r\nY9uDgYdsf63Jc/0/ZyyEUKROpltl6bGO0jS0pGcBS9t+UNJywOuBQ5ttG3NYQwglyTXdamdJNwMz\ngdMknZEeX13SaWmz1YDzJc0HLgJOtX1WjrwhhDARA3HmVQghlKT0WQFLkPQVSVdLukLSryU9p8V2\nsyUtkHSdpP27lKWYEx0mkKUX47KypHmSrpV0lqSm02e6OS7tfJ+SjkjPXyFp4zrffyJZJM2S9EAa\nh8slfbpLOY6TdKekq8bYpldjMmaWHo7JdEnnpH87f5H0kRbbTWxcbPfVF7AtsFS6fRhwWJNtlgau\npzq6OBWYD7ykC1leDKwHnANsMsZ2NwIrd3lcxs3Sw3H5MvDJdHv/Zj+jbo5LO98nsD1werq9OXBh\nl34u7WSZBZzczd+P9D6vBjYGrmrxfE/GpM0svRqT1YCN0u3lgWvq+F3puz1W2/NsP5nuXgSs2WSz\nzYDrbS+0/RhwArBjF7IssH1tm5t39QBbm1l6Mi7AHOD4dPt4YKcxtu3GuLTzfT6V0fZFwIqSpmXK\nAj04EcbVVMX7xtikV2PSThbozZjcYXt+uv0QcDWw+qjNJjwufVdYR3k3cHqTx9cAbm64f0t6LJdS\nTnTo1bhMs31nun0n0OqXsFvj0s732WybZv9J9yKLgS3Tx8zTJW3QhRzt6NWYtKPnYyJpBtVe9EWj\nnprwuJTysE5MAAADVUlEQVQw3WoJ7ZxcIOkg4FHbP22yXW1H5Eo60aGGLL0Yl4MWe0PbY8wz7tYJ\nIO1+n6P3iLpxJLed17wMmG77YUnbASdRtXVy6MWYtKOnYyJpeeBXwEfTnusSm4y6P+a4FFlYbW87\n1vOS9qTqe2zTYpNbgekN96dT/S9Te5Y2X+P29Ofdkk6k+ng44QJSQ5aejEs6KLGa7TskPR+4q8Vr\n1DIuTbTzfY7eZs30WN3GzWL7wYbbZ0g6StLKtu/tQp6x9GpMxtXLMZE0Ffh/wI9tn9RkkwmPS9+1\nAiTNBj4B7Gh7UYvNLgXWlTRD0jLAW4GTux2t6YPSsyQ9O90eOdGh5VHZbmahd+NyMrBHur0H1d7G\n4gG7Oy7tfJ8nA+9K7z8TuL+hfVGncbNImiZVKxJJ2oxqGmSviyr0bkzG1asxSe9xLPA324e32Gzi\n49Lto25dOIp3HXATcHn6Oio9vjpwWsN221Ed4bseOKBLWXam6r08AtwBnDE6C7A21ZHg+cBfcmbp\n4bisDJwNXAucBazY63Fp9n0CewN7N2xzZHr+CsaY1dHtLMB/pjGYD/w3MLNLOX4G3AY8mn5X3p1x\nTMbM0sMxeRXwZHqfkZqy3WTHJU4QCCGEmvVdKyCEEEoXhTWEEGoWhTWEEGoWhTWEEGoWhTWEEGoW\nhTWEEGoWhTUMhLRc4uVpGcJfp1MUO3mdPSV9q+58YbhEYQ2D4mHbG9t+OfAPqgnenYiJ3WHSorCG\nQXQBsA6ApHUknZFW0PqDpPXT4ztIulDSZaoW5V41a+IwUKKwhoEiaWmqdQf+kh76HvBh26+gWmPi\nqPT4+bZn2t4E+DnwyZGX6GXeMJiKXN0qhA4sK+lyqrUzFwLfTX3WLYBfpvU8AJZJf06X9AuqpQ+X\nAW7obdwwyGKPNQyKR2xvDKwFLKJapV9UKxFt3PC1Ydr+W8ARqSe7N7BsltRhIEVhDQPF9iPAR4DP\nAw8BN0raBaol4iS9PG26AtXqSgB79jpnGGxRWMOgeOpovqtrGF0P7Aq8HXiPpJHlCeekzQ6hahFc\nCtzd8PdNzAwIkxTLBoYQQs1ijzWEEGoWhTWEEGoWhTWEEGoWhTWEEGoWhTWEEGoWhTWEEGoWhTWE\nEGoWhTWEEGr2/wHE0mobmXChNgAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "PoleZeroPlot([1,-2,1],[1])" ] }, { "cell_type": "code", "execution_count": 28, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "(array([], dtype=float64), array([-1.]), 1.0)" ] }, "execution_count": 28, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAVYAAAEPCAYAAAAZLuy8AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "PoleZeroPlot([1],[1,1])" ] }, { "cell_type": "code", "execution_count": 162, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "(array([], dtype=float64), array([-1.1]), 1.0)" ] }, "execution_count": 162, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAVYAAAEPCAYAAAAZLuy8AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nsqQAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "PoleZeroPlot([1],[1,1.1])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "When a pole is outside the unit circle in the z-plane the filter is unstable!" ] }, { "cell_type": "code", "execution_count": 163, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "(array([], dtype=float64), array([-1.]), 0.90909090909090906)" ] }, "execution_count": 163, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAVYAAAEPCAYAAAAZLuy8AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nhBBCCCGEEEIIIYQQQoiK7v8AQh6RKMHzabgAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "PoleZeroPlot([1],[1.1,1.1])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Comb filters" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$$y(n) = b_0x(n) + b_m\\cdot x(n-m)$$" ] }, { "cell_type": "code", "execution_count": 167, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 167, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAlYAAAEACAYAAABxmjhoAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n3h/8oNICUAAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "b = [1,0,0,0,0,0,0,1]\n", "a = [1]\n", "frq, resp = freqz(b,a)\n", "plot(frq, abs(resp))" ] }, { "cell_type": "code", "execution_count": 168, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 168, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAlYAAAEACAYAAABxmjhoAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nTyzBAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "b = [1,0,0,0,0,0,1]\n", "a = [1]\n", "frq, resp = freqz(b,a)\n", "plot(frq, abs(resp))" ] }, { "cell_type": "code", "execution_count": 169, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 169, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAnAAAAEDCAYAAAC1TTlRAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nSZIkSZIkSZIkSZIkSZIkSZIkSdKg+h9M16cYsEJ4cgAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "b = [1,0,0,0,0,0,0,0,0,0,0,1]\n", "a = [1]\n", "frq, resp = freqz(b,a)\n", "semilogy(frq, abs(resp))\n", "\n", "twinx()\n", "\n", "plot(frq, angle(resp), 'r')" ] }, { "cell_type": "code", "execution_count": 170, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 170, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAlYAAAEACAYAAABxmjhoAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "b = [1,0,0,0,0,0,0,-1]\n", "a = [1]\n", "frq, resp = freqz(b,a)\n", "plot(frq, abs(resp))\n", "\n", "b = [1,0,0,0,0,0,0,1]\n", "a = [1]\n", "frq, resp = freqz(b,a)\n", "plot(frq, abs(resp))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## IIR Comb-fiters" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$$y(n) = b_0x(n) + b_m\\cdot x(n-m) - a_m\\cdot y(n-m)$$" ] }, { "cell_type": "code", "execution_count": 175, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAlwAAAEDCAYAAADgLNoPAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "b = [1,0,0,0,0,0,0,-1]\n", "a = [1,0,0,0,0,0,0,1]\n", "frq, resp = freqz(b,a)\n", "semilogy(frq, abs(resp));" ] }, { "cell_type": "code", "execution_count": 177, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAlwAAAEDCAYAAADgLNoPAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAADw1/8HrChpVt0Cg9sAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "b = [1]\n", "a = [1,0,0,0,0,0,0,1]\n", "frq, resp = freqz(b,a, worN=8192)\n", "semilogy(frq, abs(resp));" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Two-zero filters" ] }, { "cell_type": "code", "execution_count": 178, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 178, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAlwAAAEDCAYAAADgLNoPAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nKVr/H7ZvAxU2co9sAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "b = [1, 1, 1]\n", "a = [1]\n", "frq, resp = freqz(b,a)\n", "semilogy(frq, abs(resp))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$$\\frac{b_1}{b_0} = -2R\\cos(\\Theta_c)$$\n", "$$\\frac{b_2}{b_0} = R^2$$" ] }, { "cell_type": "code", "execution_count": 179, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 179, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAlwAAAEDCAYAAADgLNoPAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAFABJREFUeJzt3WmMXddhH/D/cBUXkVos2Vooj0RRCRWLtmhTKhUNOkAL\nxGmBJkASZHOAJEjgIEuLIijSAkVFfmr7IUhROEU+qM40TWoXaYEiQdL6U2eqXZQlypYpyRRFyaRk\niVa4iPsyfP1w5vk9Dmd5s5x5b2Z+P+DgnnvfwsODw+F/7j333AQAAAAAAAAAAAAAAAAAAAAAAAAA\nAGCRuTfJk0n+stsNAQBY6gQuAGDZWtHtBgAALHWzCVxfTfJhkm+PO/7FJG8kOZjkD+bYLgCAZW0g\nycO5NnCtTPJWkv4kq5PsT7I9yS1J/iRCGADAjPXn2sC1O8n/adv/l2MFAGDZWzVP33NXkiNt+0eT\nPNrJB7du3do4dOjQPDUDAKCqQ0nun+mH5mvSfGO2Hzx06FAajYYyy/LEE090vQ2Lueg/faf/FmfR\nf/qvWyXJ1tnknfkKXO8l2dK2vyXlLBcAwLI3X4HrpSTbUuZ2rUny80n+ap6+GwBgUZtN4PpakmeT\nPJAyb+vXklxJ8rtJvpHkQJL/nuT1eWojUxgcHOx2ExY1/Td7+m5u9N/c6L+50X8Lr6/bDUjSeOKJ\nJzI4OGgAAAA9aXh4OMPDw9m7d28yi/zUE4FrbBIaAEBP6+vrS2aRnzzaBwCgMoELAKAygQsAoLKV\n3W5Akj3NSn9/f/daAQAwieHh4QwNDWVkZCRJ9s708ybNAwB0yKR5AIAeJXABAFQmcAEAVCZwAQBU\nJnABAFRmWQgAgGlYFgIAYIFYFgIAoEcJXAAAlQlcAACVCVwAAJUJXAAAlVkWAgBgGpaFAABYIJaF\nAADoUQIXAEBlAhcAQGUCFwBAZQIXAEBlAhcAQGUCFwBAZRY+BQCYhoVPAQAWiIVPAQB6lMAFAFCZ\nwAUAUJnABQBQmcAFAFCZwAUAUJnABQBQmcAFAFCZwAUAUJlH+wAATMOjfQAAFohH+wAA9CiBCwCg\nMoELAKAygQsAoDKBCwCgMoELAKAygQsAoDKBCwCgMoELAKAygQsAoDKBCwCgMoELAKCyld1uQJI9\nzUp/f3/3WgEAMInh4eEMDQ1lZGQkSfbO9PMzftp1BY1Go9HtNgAATKuvry+ZRX5ySREAoDKBCwCg\nMoELAKAygQsAoDKBCwCgMoELAKAygQsAoDKBCwCgMoELAKAygQsAoDKBCwCgMoELAKAygQsAoDKB\nCwCgMoELAKAygQsAoDKBCwCgMoELAKCyld1uQJI9zUp/f3/3WgEAMInh4eEMDQ1lZGQkSfbO9PN9\n89+kGWs0Go1utwEAYFp9fX3JLPKTS4oAAJUJXAAAla3qdgMAgLlrNJKLF0u5dKmzMv69V68mo6Nl\nO1l9std37kx+7ue63Qu9S+ACgAV05Upy+nQpH39cyvj6mTPJuXMzL6tWJevWJWvWTFzWrp38tTVr\nkpUrkxUrSumkvmZN2fb1JTfc0O2e7W0mzQPADIyOJidPJsePJydOlG17vbk9ebIVotpD1cWLycaN\nyaZNrXLjjdfWN25MNmxI1q8vZd26Vn2ysm5dCUPUNdtJ8wIXAMvW1aslHP3gB8mxY2XbXj927Pow\ndeZMsnlzcvPNyS23TL2dKFStX1/OCLE4CVwAkHLJ7sMPk+9/v5T33y/7EwWq48dLCLrttlJuv/3a\n7W23Jbfeem2Q2rSpXEZjeRK4AFjSLl9OPvigFaLat+31v/u75BOfSO64o5Q770w++cnrw9Ttt5cw\ntXp1t/9mLCYCFwCL1tWr5SzU976XHDnS2rbXP/qohKRmiGoPVO31228vk8ehBoELgJ517lzyzjvJ\n4cMlQI0PVO+/n9x0U7JlS3LPPWU7vn7HHSaF030CFwBdMzqaHD2avP12CVWHD19bP3Ei+fSnk3vv\nLdvxYeruuy0rwOIgcAFQ1ZkzyVtvJQcPlm17sDp6tMyLuu++Eqruvffa+p13mmjO0iBwATBnFy6U\nAPXd75ZgdfBgq378eLJ1a/LAA2XbDFT33VfOWq1d2+3WQ30CFwAduXo1effd5I03SphqD1fvv1/C\n0wMPJNu2tbbbtpVLf85SsdwJXABc4/Ll5NCh5PXXkwMHWts33yxrSm3ffn2w6u+3TAJMReACWKYu\nXChnqdpD1YED5dLgXXeVYLV9e/Lgg2X7oz9aVkoHZk7gAljiRkdLiPr2t5Nvfau1PXq0zKNqD1UP\nPljOWq1b1+1Ww9IicAEsIR99dH2wOnCgrKC+Y0fy0EOt7bZtLgPCQhG4ABahy5fLZcD9+68NWGfP\nXh+sPvMZlwKh2wQugB53/nwJVC+/nLzySinf+U65K/Czny3Bqhmu7rkn6euFn9DANQQugB5y8mQ5\na/XKK62A9fbbyY/8SLJzZ/Lww2W7Y0eycWO3Wwt0SuAC6JITJ5KXXkr27WsFrA8/LGGqPVw9+KDF\nQWGxE7gAFsC5cyVU7dtXyosvJh98UALVrl2tgPXAAx60DEuRwAUwzy5fLnOsXnyxFbC++93kx36s\nhKtdu5JHHinrWglXsDwIXABz0GiUBzI3w9WLLyavvlomtLeHqx07khtu6HZrgW4RuABm4MyZEqye\ne66U558vQerRR1vh6vOfTzZt6nZLgV7Sq4FrQ5L/lORikuEk/22C9whcQFWNRnmmYDNcPfdcuTS4\nY0eye3er3H13t1sK9LpeDVy/kuR4kr9J8vUkvzDBewQuYF6dPXv92as1a64NVzt3umMQmLnZBq5V\n89+Ua9yV5NWx+mjlPwtYhhqN5N13k2eeaQWsN94oi4fu3p186UvJH/9xsmVLt1sKLGezCVxfTfKP\nkxxL8lDb8S8m+Q9JViZ5Msm/T3I0yZYk30qyYk4tBUhy9Wry2mvJ008nTz1VypUryY//ePLYY8kv\n/VI5e2ViO9BLZnNJcSDJmSR/llbgWpnkzST/MMl7SfYl+cUk7yb5SpILSZ5K8rUJvs8lRWBSFy+W\nRUWbAeuZZ8oDnAcGSnn88eT++z0GB1gYC3lJ8akk/eOOPZLkrSTvjO1/PclPJfl3SX59ui/cs2fP\nD+uDg4MZHBycRbOApeDjj5Nnny3h6umnk29+sywiOjCQ/OqvJk8+mXzqU91uJbBcDA8PZ3h4eM7f\nM9vfCfuT/HVaZ7h+NslPJPnNsf0vJXk0ye918F3OcMEy9sEHrUuDTz2VHDyYfOEL5czVwECZh2Vp\nBqBXdHvSvMQETKvRKIGqff7V8eNl/tXAQJnc/vnPu3sQWHrmK3C9lzI5vmlLyoR5YBm7cqWs1t4M\nWE8/naxe3Zp/9fu/Xx7ovMItNcASN1+B66Uk21IuNb6f5OdTJs0Dy8j588kLL7TC1fPPl8VEBwaS\nn/7p5A//sDwqB2C5mU3g+lqSv5/k1iRHkvybJH+a5HeTfCPljsX/nOT1Tr9wz549JsvDInT8eLlr\nsBmwXn21rH81MJD89m8nf/EX5Y5CgMVurpPne+FGapPmYZE4cuTaCe7f+1559mDzEuEjjyQbNnS7\nlQD19OqjfTohcEEPunq1rNjeHrDOn2/dPTgwkHzuc8mq2s+rAOghAhcwJ5cvJy+/3ApXzzyTbN7c\nWlx0YKCsh2WBUWA5E7iAGTlzpkxqbwasffuSrVtbAevxx5O77up2KwF6i8AFTKrRSN55pzzY+dln\ny/bNN5OHH25dHty9O7nppm63FKC3dXvh0zlxlyLMr/PnyyNx2gPWihXl4c67dye//MslbHnAM0Bn\n3KUI5MiRVrB67rnktdfKgqLNgLV7d3LPPeZfAcyVS4qwTBw/nrz0Uin79pVy6VIrXD32WHk8zvr1\n3W4pwNIjcMESdPp0uXOwGa5eeik5dizZuTPZtas85HnXruTee529AlgIAhcscj/4QVmpvVm++c0y\n0X3Hjlaw2rWrLM2wcmW3WwuwPC3qwPUzP9PIihW5rqxcef2xZlm9OlmzJlm7tmw7ra9fX8qGDa3t\n2rXODrBwRkeTgweT/fuvDVhnzyaf/Wyr7NyZfOYzZawD0BsW9V2KK1bsyfbtg9m+fTBXr5YVrkdH\n88P6+DI6mly5kly8WOaunDuXnDhR6pcutY631y9eLOX8+fL+s2fL9ty58np7CJuovmFDsmnT9eXG\nGyc+vnZtt3uVbrt8OXnrreT1168tb7yR3HFHK1h9+ctl++lPC/4AvcpdivPgypWJg1izfvZsKadP\nJx9/PH05daqchRsfwjZvTm6+uax1dPPNrdK+36yvX+8/38Xg6tXk+99P3n47OXSonLlqBqvDh5Mt\nW5Lt268vmzZ1u+UAzMaivqTY7cA13xqNcjZtfAg7dSo5ebKcjWuWyfZHRzsPZ+37N91U/jM3x2d+\nNBrlrsCjR8vSC81g1dwePlyC9H33lVXa77+/Faq2bbPOFcBSI3AtMRcuTB3OJnvt1KlyJm7jxhK+\nNm9uBbFO9zdvLvPdlrIrV5KPPioT1Zvl2LHkvfdKuGpujx4toenuu0u5775WuNq6tdwduHFjt/82\nACwUgYsfGh0toevkydZZtanqE722Zk0rgN14Y5nDtnFjaz5bs0x0rHkjwpo1rZsbmqV9f/Xq1oTw\nRqOUierNv9OFC625eBcvXrt/4UK5/Hvq1LVnFcfXmyHr44/LWcHbbivl9tvL9q67SrBq3wpUADQJ\nXMybRqOEl2YAO326NY/t7Nny0OPp9i9dKpPGmzcvTFVvzlXr65u8vmJFOdO0dm2rjN/fsKEExOZ8\nufa5c836rbeWcHXzzS67AjBzAhcAQGWzDVwr5r8pAAC064WLKnualf7+/u61AgBgEsPDwxkaGsrI\nyEiS7J3p511SBADokEuKAAA9SuACAKhM4AIAqEzgAgCoTOACAKhM4AIAqEzgAgCozMKnAADTsPAp\nAMACsfApAECPErgAACoTuAAAKhO4AAAqE7gAACoTuAAAKhO4AAAqE7gAACoTuAAAKvNoHwCAaXi0\nDwDAAvFoHwCAHiVwAQBUJnABAFQmcAEAVCZwAQBUJnABAFQmcAEAVCZwAQBUJnABAFQmcAEAVCZw\nAQBUJnABAFS2stsNSLKnWenv7+9eKwAAJjE8PJyhoaGMjIwkyd6Zfn7GT7uuoNFoNLrdBgCAafX1\n9SWzyE8uKQIAVCZwAQBUJnABAFQmcAEAVCZwAQBUJnABAFQmcAEAVCZwAQBUJnABAFQmcAEAVCZw\nAQBUJnABAFQmcAEAVCZwAQBUJnABAFQmcAEAVCZwAQBUtrLbDUiyp1np7+/vXisAACYxPDycoaGh\njIyMJMnemX6+b/6bNGONRqPR7TYAAEyrr68vmUV+ckkRAKAygQsAoDKBCwCgMoELAKAygQsAoDKB\nCwCgMoELAKAygQsAoDKBCwCgMoELAKAygQsAoDKBCwCgMoELAKAygQsAoDKBCwCgMoELAKAygQsA\noDKBCwCgMoELAKAygQsAoDKBCwCgMoELAKAygQsAoDKBCwCgMoELAKAygQsAoLLageveJE8m+cvK\nfw4AQM+qHbgOJ/mNyn8GAEBPc0lxkRseHu52ExY1/Td7+m5u9N/c6L+50X8Lr9PA9dUkHyb59rjj\nX0zyRpKDSf5g7NivJPmjJHfORwOZmn80c6P/Zk/fzY3+mxv9Nzf6b+F1Grj+NCVctVuZ5Ctjxx9M\n8otJtif5r0n+eZL3k9yS5E+SfC6tQAYAsKys6vB9TyXpH3fskSRvJXlnbP/rSX4qyett7zme5Ldm\n3zwAgMWvbwbv7U/y10keGtv/2SQ/keQ3x/a/lOTRJL83wza8lWTrDD8DANANh5LcP9MPdXqGayKN\nOXy23YwbDQCwmMzlLsX3kmxp29+S5OjcmgMAsLz159q7FFelnFbrT7Imyf6USfMAAMzC11LuOryY\n5EiSXxs7/pNJ3kyZh/WvpvmOiZaQGO8/jr3+apKH59bkJWe6/htMcirJK2PlXy9Yy3rfZMuatDP2\nJjZd3w3GuJvKliT/N8l3kryW5J9O8j7jb2Kd9N9gjMGJ3JDkhZSTIQeS/NtJ3mfsTayT/htMD469\nlSmhrD/J6kx8NuwfJfnbsfqjSZ5fqMYtAp3032CSv1rQVi0eAyk/SCYLDcbe5Kbru8EYd1P5VMqy\nOEmyMeUXVD/7OtdJ/w3GGJzM+rHtqpRx9fi41429qU3Xf4OZwdhbqJXm25eQuJzWEhLt/kmS/zJW\nfyHJTUk+uUDt63Wd9F8ys7tOl5OnkpyY4nVjb3LT9V1i3E3lg5RfkJLkTMqyOeMXhTb+JtdJ/yXG\n4GTOjW3XpPzifnzc68be1Kbrv2QGY2+hAtddKZcim46OHZvuPXdXbtdi0Un/NZI8lnJa+G9TFqOl\nM8be7Bl3netPOVv4wrjjxl9n+jNx/xmDk1uRElg/TLk0e2Dc68be1KbrvxmNvbksCzETnS4hMT4p\nztfSE4tdJ/3wcsp8h3Mpc+v+V5IHajZqiTH2Zse468zGJP8jyT9LOVMznvE3tan6zxic3NWUS7Kb\nk3wj5RLY8Lj3GHuTm67/ZjT2FuoMVydLSIx/z91jx+is/06ndfrzf6fM9bqlftOWBGNv9oy76a1O\n8j+T/HnKD+TxjL+pTdd/xuD0TiX5myRfGHfc2OvMZP3Xk2OvkyUk2ifv/b2YvNeuk/77ZFq/qTyS\n1iOXKPrT2aR5Y+96/Zm874y7qfUl+bMkfzTFe4y/yXXSf8bgxD6RMicrSdYl+X9J/sG49xh7k+uk\n/3p27E20hMSXx0rTV8ZefzXJzgVtXe+brv9+J+W26f1Jnk35x0PRXNbkUsp8hV+Psdep6frOuJva\n4ymXJfandev4T8b461Qn/WcMTuyhlEte+5N8K8m/GDtu7HWmk/4z9gAAAAAAAAAAAAAAAAAAAAAA\nAAAAgO76/zaVxlkXfmYFAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "R = 0.5\n", "theta_c = 1.0\n", "b = [1, -2*R*cos(theta_c), R**2]\n", "a = [1]\n", "\n", "frq, resp = freqz(b,a)\n", "semilogy(frq, abs(resp))" ] }, { "cell_type": "code", "execution_count": 180, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 180, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAlYAAAEACAYAAABxmjhoAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nJClb/D+XYPzs6rdxJwAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "R = 1\n", "theta_c = 2.0\n", "b = [1, -2*R*cos(theta_c), R**2]\n", "a = [1]\n", "\n", "frq, resp = freqz(b,a)\n", "plot(frq, abs(resp))" ] }, { "cell_type": "code", "execution_count": 181, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 181, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAlYAAAEACAYAAABxmjhoAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "R = 1\n", "theta_c = 1.5\n", "b = [1, -2*R*cos(theta_c), R**2]\n", "a = [1]\n", "\n", "frq, resp = freqz(b,a)\n", "plot(frq, abs(resp))" ] }, { "cell_type": "code", "execution_count": 182, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "(array([ 0.0707372+0.99749499j, 0.0707372-0.99749499j]),\n", " array([], dtype=float64),\n", " 1.0)" ] }, "execution_count": 182, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAVYAAAEPCAYAAAAZLuy8AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "PoleZeroPlot(b,a)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Two-pole filters" ] }, { "cell_type": "code", "execution_count": 183, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 183, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAl8AAAEACAYAAACNjxOiAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nScrH/wN8XcvrYUHDEQAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "R = 1\n", "theta_c = 2.0\n", "b = [1]\n", "a = [1, -2*R*cos(2.0), R**2]\n", "\n", "frq, resp = freqz(b,a)\n", "plot(frq, abs(resp))" ] }, { "cell_type": "code", "execution_count": 184, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAVYAAAEPCAYAAAAZLuy8AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "poles, zeros, k = PoleZeroPlot(b,a)" ] }, { "cell_type": "code", "execution_count": 185, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "array([ 1., 1.])" ] }, "execution_count": 185, "metadata": {}, "output_type": "execute_result" } ], "source": [ "abs(zeros)" ] }, { "cell_type": "code", "execution_count": 186, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 186, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAkwAAAEACAYAAABBFilJAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nJEmSJEmSJEmSJEmSJEmSJLXf/wcWRk9DUBDmyAAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "R = 0.9\n", "theta_c = 1.5\n", "b = [1]\n", "a = [1, -2*R*cos(theta_c), R**2]\n", "\n", "frq, resp = freqz(b,a)\n", "plot(frq, abs(resp))" ] }, { "cell_type": "code", "execution_count": 187, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAVYAAAEPCAYAAAAZLuy8AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "poles, zeros, k = PoleZeroPlot(b,a)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Biquad Filter" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$$H(z) = \\frac{b_0z^{0} + b_1z^{-1} + b_2z^{-2}}{ a_0z^{0} + a_1z^{-1} + a_2z^{-2}}$$\n", "\n", "Great \"cookbook\":\n", "[http://www.musicdsp.org/files/Audio-EQ-Cookbook.txt](http://www.musicdsp.org/files/Audio-EQ-Cookbook.txt)" ] }, { "cell_type": "code", "execution_count": 188, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# low shelf-filter\n", "\n", "Fs = 44100\n", "f0 = 10000.0\n", "dBgain = 30.0\n", "S = 1.0 # shelf slope\n", "# -----------------------\n", "A = 10**(dBgain/40)\n", "\n", "w0 = 2*pi*f0/Fs\n", "alpha = sin(w0)/2 * sqrt( (A + 1/A)*(1/S - 1) + 2 ) \n", " \n", "b0 = A*( (A+1) - (A-1)*cos(w0) + 2*sqrt(A)*alpha )\n", "b1 = 2*A*( (A-1) - (A+1)*cos(w0) )\n", "b2 = A*( (A+1) - (A-1)*cos(w0) - 2*sqrt(A)*alpha )\n", "a0 = (A+1) + (A-1)*cos(w0) + 2*sqrt(A)*alpha\n", "a1 = -2*( (A-1) + (A+1)*cos(w0) )\n", "a2 = (A+1) + (A-1)*cos(w0) - 2*sqrt(A)*alpha" ] }, { "cell_type": "code", "execution_count": 189, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 189, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAloAAAEDCAYAAADtMqpIAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAG5hJREFUeJzt3Xl41NW5wPHvEIiCCKJctGA0ioosCoICWrURuWqtuDzX\ntVb74IK1itqquJRquG7XrYra1lat0bZuWJfiXquTUlERFFAUF9RbwWJFyyIpss394yQ3kGaZLJMz\ny/fzPL8nM5OZ5H1Oj/TNOe/vPSBJkiRJkiRJkiRJkiRJkiRJkiRJkiRJkiRJkiRJkiRJ1Yoy9HOP\nAM4HTgSWAR9m6PdIkiQVrC2AO2MHIUmSlI9uAIbEDkKSJCnb/Qb4DHizzuuHAPOB94GLql9LANcC\nB7ZbdJIkSTlsP2APNk60ioAPgFKgEzAb6A+MB2YCvwTOaNcoJUmSclQpGydaewPPbPD84upLkiSp\n4HVs5ef7AJ9s8HwhMCKdD/bt2ze1YMGCVv56SZKkdrEA2Km5H+rQyl+aaukHFyxYQCqV8mrhdfnl\nl0ePIVcvx87xc/xy83LsHL+YF9C3JflOaxOtRUDJBs9LCKtakiRJBa+1idZMYGdC7VYxcBzwx1b+\nTEmSpLzQnETrfmA6sAuhLmsssBY4G3gWeBt4EHinjWNUPcrKymKHkLMcu9Zx/FrH8Ws5x651HL84\nEhF/d+ryyy+nrKzM//ElSVJWSiaTJJNJJk2aBC3Im6ImWtXFZZIkSVktkUhAC/Km1tZoSZIkqQEm\nWpIkSRlioiVJkpQhRRF/d3nNg9LS0nhRSJIkNSCZTFJRUUFlZSXApOZ+3mJ4SZKkJlgML0mSlGVM\ntCRJkjLEREuSJClDTLQkSZIyxERLkiQpQ2zvIEmS1ADbO0iSJGWY7R0kSZKyjImWJElShphoSZIk\nZYiJliRJUoaYaEmSJGWI7R0kSZIaYHsHSZKkDLO9gyRJUpYx0ZIkScoQEy1JkqQMMdGSJEnKEBMt\nSZKkDDHRkiRJyhATLUmSpAyxYakkSVIDbFgqSZKUYTYslSRJyjImWpIkSRlioiVJkpQhJlqSJEkZ\nYqIlSZKUISZakiRJGWKiJUmSlCEmWpIkSRlioiVJkpQhHsEjSZLUAI/gkSRJyjCP4JEkScoyJlqS\nJEkZYqIlSZKUISZakiRJGWKiJUmSlCEmWpIkSRlioiVJkpQhJlqSJEkZ0jHmL//0U0gkGr6g8e+3\n9D2SJEntIWpn+G22SZFKUe8F9b/emvcAFBdvfHXq9O+vFRdD587QtStsvnn4Wt/jHj2gZ89wbbUV\nbLaZiZwkSfmopZ3hC+oInvXrYc0aWL268WvNGqiqgq++qr1WrNj48YoVsHQpLFlSe61bV5t49e4N\nJSWw7bbhqnlcUhISMkmSlDtMtLJAVRV88QV8/nnYFv3kE1i4MFw1jz/5BLbYAnbZpfbaeWfo1y98\n7Rh1M1eSJNWnpYlW1P9bLy8vp6ysjLKysphhtJkuXcJVUgJDh9b/nvXrYdEieP99eO+9cFVWwvz5\n8Pe/w8CBMHgwDBkSrt13D9uUkiSp/SWTSZLJZIs/74pWFlmxAubOhTlzYPbscM2bF1a6vvlN2Gef\n8HX77a0FkySpPbl1mKdWr4Y33oCXXoLp08PXRAL22w8OOgj+8z9hu+1iRylJUn4z0SoQqRT87//C\niy/Cn/4Urq22CknXQQfBAQdYbC9JUlsz0SpQ69eHLcbnnoNnn4VZs0KyddRRMGZMSMIkSVLrmGgJ\ngH/+E554Ah59FJ5/HvbaKyRdRx8N22wTOzpJknKTiZb+TVVVWOV65JGQfI0YASedBEce6faiJEnN\nYaKlRlVVweOPw29/G4rqDz88JF2jRkFRUezoJEnKbiZaSttnn8EDD8C994YGq+PGwSmnuLUoSVJD\nTLTUIrNmwa9+BVOmwOjR8IMfhGL6Dh1iRyZJUvYw0VKrLF8Ov/893H572GYcPx7GjrUrvSRJYKKl\nNpJKwcsvw803wwsvhGRr/HibokqSCltLEy03iLSRRCIc9fPQQzBzJqxbF85cPO44ePXV2NFJkpRb\nXNFSk5Yvh7vugsmTYccd4Sc/CXcret6iJKlQuHWojFuzJtRxXXMN9OgREq7DDjPhkiTlPxMttZt1\n60IT1KuuCjVdl14aOs/bj0uSlK9MtNTuUil46qmQcH35JZSXw7HH2hpCkpR/TLQUTSoVzlWcOBH+\n9S+44orQed4tRUlSvjDRUnSpVDhT8ac/hU6d4Mor4aCDTLgkSbnPREtZY/16ePhhuOwy6NUrJFz7\n7x87KkmSWq6liVbM8uXymgelpaXxolCbSyRg4MBwnE+nTnDeefD007Dbbp6nKEnKLclkkoqKCior\nKwEmNffzrmgp41avhl//OqxsHXJIqOEqKYkdlSRJ6bMzvLJWcTGcfTa89x5su23oNH/xxbBsWezI\nJEnKLBMttZtu3cKq1ty5sGQJ7LJL6Da/enXsyCRJygwTLbW7Pn3gzjtDS4jnnoP+/cPZiu4kS5Ly\njTVaiu6FF+DCC8MW4+TJMHx47IgkSdqYNVrKWaNGwWuvhbsUjzoKTj4ZFi2KHZUkSa1noqWs0KED\nfP/7MH9+KJgfPDjUc/3rX7EjkySp5Uy0lFU23xyuvjqscM2ebf2WJCm3WaOlrJZMhoan3brBzTfD\n0KGxI5IkFSJrtJSXyspg1iw46ST4znfg1FNh8eLYUUmSlB4TLWW9oiI4/fRQv7XlljBoENxwg/23\nJEnZz61D5Zz33oNzz4WPP4Zbb4XRo2NHJEnKdy3dOjTRUk5KpWDq1FC/NXQo/OxnsN12saOSJOUr\na7RUUBIJOPxwmDcPdt89JFtXXQWrVsWOTJKkWiZaymmdO8Nll8HMmaFoftAgePLJ2FFJkhS4dai8\n8uyzcM454cDqm2+Gvn1jRyRJygduHUrAwQfDm2/CfvvBiBEwcSKsXBk7KklSoTLRUt4pLoYJE2DO\nHPjwQxgwAB5+2O7ykqT259ah8l5lJYwfD716hXYQ/fvHjkiSlGvcOpQa8K1vweuvwxFHwP77wwUX\nwIoVsaOSJBUCEy0VhI4dw6rWvHnw5ZdhVeu++9xOlCRllluHKkgvvwxnnRUOq77tttAWQpKkhrh1\nKDXD3nvDa6/BccfBqFGhw/yyZbGjkiTlGxMtFayiIjjzTHj77dACon9/uPdetxMlSW3HrUOp2owZ\nYTtxk03g5z+HwYNjRyRJyhZuHUqtNHw4vPIKnHwyHHRQKJ5fujR2VJKkXGaiJW2gqAjGjQvbiWvX\nhu3Eu++G9etjRyZJykWZ2DrcAfgJ0B04ppH3uXWorDdzJpx9NiQSYTtx6NDYEUmSYsimrcOPgNMy\n8HOldrfnnjB9Opx+Ohx6KPzwh6EPlyRJ6XDrUGpChw5wyinwzjvhcf/+cMcdbidKkpqWbqL1G+Az\n4M06rx8CzAfeBy5qw7ikrNOjR2hu+uyzUFEBI0eGXlySJDUk3UTrbkJStaEi4Lbq1wcAJwD9gS2B\n24EhmHwpDw0ZAtOmhVYQhx8eiueXLIkdlSQpG3VM833TgNI6rw0HPgA+rn7+AHAE8D/AD9L5oeXl\n5f//uKysjLKysjTDkeLq0AG+//1wUPXll8OAAfDf/x1quYqKYkcnSWqtZDJJMpls9c9pTvV8KTAV\n2K36+dHAwcDp1c+/B4wAxqf587zrUHlj7txwd+LKleHuxJEjY0ckSWpLMe46NEuSqu2+O1RWwo9/\nDP/1X3DqqfD557GjkiTF1ppEaxFQssHzEmBh68KRclciASeeGO5O3GILGDgwFM+vXRs7MklSLK1J\ntGYCOxO2FIuB44A/tkFMUk7r1g1uvBFefBH+8IfQi+ull2JHJUmKId2y3fuBKwirVmcAS4HXCW0d\nfk+oy/ot8Ggzfnd5zYPS0tJmfEzKDb16hYL5Hj3CnYlz5sA++0DXrrEjkySlK5lMUlFRQWVlJcCk\n5n4+E0fwpMtieBWMFSvgiivCuYkTJ4bWEB3TvedXkhRdS4vhTbSkdvTOOzB+PPzjH6F+a//9Y0ck\nSUqHiZaUI1IpePhhOP/8kGhddx307h07KklSY7LpUGlJjUgk4Jhj4O23oaQktIa48UZYsyZ2ZJKk\ntuaKlhTZu+/COefAwoVhO/GAA2JHJEmqq6UrWjEPCymveeBdhypkPXvC974Xtg/PPBNeeSV0lu/W\nLXZkkiTvOpTySFUVXHMN/PKXMGECnHceFBfHjkqSZDG8lEc++ADOPRc+/BBuvRVGj44dkSQVNhMt\nKc+kUjB1aljVGjoUfvYz2G672FFJUmHyrkMpzyQScPjhMG8eDBoEe+wBV18NX38dOzJJUrpMtKQs\n17kzlJfDa6+FQvlBg+DJJ2NHJUlKh3cdSjmiRw844QTYeWf40Y/g6afDgdU9e8aOTJLyl3cdSgVo\n9epQJH/NNeHg6ssug+7dY0clSfnLGi2pgBQXhyN85s2DZctg113hrrtg/frYkUmSNuSKlpQHZs4M\n3eVXr4ZbboF99okdkSTlF9s7SAUulYL77oOLLoKyMrj2WujTJ3ZUkpQf3DqUClwiASeeCPPnw/bb\nw+DBoR3EqlWxI5OkwmWiJeWZrl3hqqtgxozQEmLgQHjssbDiJUlqX24dSnnu+efDcT69e8PkyTBg\nQOyIJCn3tHTr0D5aUp7bcUcYNw6WL4exY2HRIhg5MjRClSQ1zj5aktL2+eeh59ajj8KkSXDaaVAU\n888tScoR3nUoKW2zZ4ftxOXLw3bi/vvHjkiSspuJlqRmSaVgyhS48MKwlXj99bDddrGjkqTsZHsH\nSc2SSMCxx8I770D//rDHHvDTn8JXX8WOTJLyh4mWVOC6dIHy8rCd+NFH4Tife+7xOB9JagtuHUra\nyCuvwHnnwbp1cNNNsO++sSOSpPis0ZLUZlIpuP9+uPhi2HvvcJyPXVgkFTJrtCS1mUQCvvvdcJzP\nwIGw557wk5/AihWxI5Ok3BI10SovLyeZTMYMQVIjunQJfbfmzIGFC0P91t13W78lqXAkk0nKy8tb\n/Hm3DiWlbcYM+NGPwkHVN91k/y1JhcMaLUntIpWChx6CCRNg+HC47jrYYYfYUUlSZlmjJaldJBJw\n3HGhfmvIENhrL7jkktBlXpK0MRMtSS3SuXMokJ87FxYvDvVbd90V2kJIkgK3DiW1iZkzQ/+tlStD\n/VZZWeyIJKntWKMlKbqa8xMnTIBhw0L9Vt++saOSpNazRktSdBuenzhsGIwYEZKupUtjRyZJcZho\nSWpznTvDpZfCm2/CF19Av35w222wZk3syCSpfbl1KCnj5s6FCy6Av/0tbCeOGRNWvyQpV1ijJSmr\npVLwzDMh4erVC268EYYOjR2VJKWnpYlWUduHkrbymgelnlYr5b1EAnbeGc44I2whjhsXthb32gu6\ndYsdnSTVL5lMUlFRQWVlJcCk5n7eFS1JUSxfDtdeC7ffDj/8YSia33zz2FFJUv2861BSTunWDa66\nCt54Az7+OBTM33EHrF0bOzJJajuuaEnKCjNnwvnnw5dfwg03wMEHx45IkmpZDC8p56VS8PjjYRtx\nxx1DwjVoUOyoJMmtQ0l5IJGAI4+Et96CQw+FAw8MRfOLF8eOTJJaxkRLUtYpLoZzzoH586F797Cq\ndeWVUFUVOzJJah4TLUlZq0cPuP56mDEjtILo1w/uuQfWr48dmSSlxxotSTnj5Zfhxz+Gr78O9Vuj\nRsWOSFKhsBheUkFIpWDKFLjkkrDCde21sNtusaOSlO8shpdUEBIJOPZYeOcd+Pa3YfRoGDsWPvkk\ndmSS9O9MtCTlpOJiGD8e3nsPeveGIUPg4oth6dLYkUlSLRMtSTmte/fQYX7uXFiyBHbZBW66KdRx\nSVJsJlqS8kKfPnDnnfDii/DCC9C/P9x3n3coSoqrKOLvLq95UFpaGi8KSXmlVy/47ndh8GC44gr4\n1a9g551hhx1iRyYpFyWTSSoqKqisrASY1NzPe9ehpLzlHYqS2op3HUpSHd6hKCk2Ey1Jec87FCXF\nYqIlqWA0dIfiqlWxI5OUr0y0JBWcunco9usHd98Na9fGjkxSvrEYXlLBe+mlUDC/ZAlceSUcdVSo\n75KkGp51KEmtkErBM8/ApZeGmq6rr4YDD4wdlaRsYaIlSW1g/Xp46CGYODH03rr6athrr9hRSYrN\n9g6S1AY6dIDjjw8tIY4+Go48MnydPz92ZJJykYmWJNWjUyc44wx4/30YPhz22w9OO80eXJKax0RL\nkhrRpQtMmBASrq23Dj24zj8/FM5LUlNMtCQpDVtsEXpwvfVW6Lu1665QXg7LlsWOTFI2M9GSpGb4\nxjfg5z+HV1+Fjz+GnXYKBfNffRU7MknZyERLklqgb1+oqIC//jWscvXtC9dfD1VVsSOTlE1MtCSp\nFfr1g/vugz//GWbMCCtckyd7rI+kwERLktrAoEEwZQo89VQ42menneAXv4Cvv44dmaSYTLQkqQ0N\nGQKPPRauJ58MB1ffcQesWRM7MkkxmGhJUgbsuWdItB54IKx09esXaro8uFoqLEURf3d5zYPS0tJ4\nUUhSBpWUwEknwR57wE03hTsUN9ssbDUWxfwXWFJakskkFRUVVFZWAkxq7uc961CS2tFf/gJXXgnv\nvgsXXQSnnAKbbho7KklN8axDScoB++8Pzz0HDz4YCuf79oWbb7YthJSvTLQkKYKRI+GJJ2Dq1LDK\nteOOcO21sGJF7MgktSUTLUmKaOhQeOQReP55mD07rHBdcQUsXRo7MkltwURLkrLAoEFw//0wbRos\nWBASrosvhr//PXZkklrDREuSskhNG4iZM0Pd1sCBcNppMH9+7MgktYSJliRloR12gFtugffeg+22\ng299C448EqZPjx2ZpOawvYMk5YCqqrDSdeON8I1vwIQJcNhh0ME/l6V20dL2DiZakpRD1q4NxfPX\nXQcrV8IFF8CJJ9qLS8o0Ey1JKiCpFCSTcMMNoZ7r9NPhzDOhT5/YkUn5yYalklRAEgk44IBwnuK0\nabB8Oey2G5xwArz8ckjEJMXnipYk5Ylly0Id1623wpZbwjnnwDHHwCabxI5Myn1uHUqSAFi3Dp5+\nGiZPhrfegnHjQouIkpLYkUm5y61DSRIARUXhjsQ//Sl0nP/ySxgyBMaMCUf+rF0bO0KpcLiiJUkF\nYOVKeOgh+PWvYeFCOPXUcLnKJaXHFS1JUoM22wzGjg2F8k88AUuWwODBYZXr8cdh9erYEUr5yRUt\nSSpQK1fCgw+GAvr58+H44+Hkk2HYsHBXo6RaFsNLklpswQL43e/g3nvDXYonnxwaobq1KAUmWpKk\nVkulwnmK994LU6bA0KGhN9eRR8JWW8WOTorHREuS1KZWrQp3KT74YLiDce+94dhjQ9K15Zaxo5Pa\nl4mWJCljvvoqdKF/6KHQMmKffUIz1DFj4D/+I3Z0UuaZaEmS2kVN0jVlSki6Bg4MCddhh4XHFtIr\nH5loSZLa3ddfQ2Vl2GKcOhU6dAgJ15gxsN9+sOmmsSOU2oaJliQpqlQqHPkzdWpY8Zo7F0aOhNGj\nwzVkSOhaL+UiEy1JUlZZvjysdj3/fLgWL4ZRo+DAA2HffWHAgLACJuUCEy1JUlb79FP485/D9dJL\noTv93nvDN78ZruHDoUuX2FFK9TPRkiTllM8+Cz27/vrXkHi9+WZY5Ro2LPTvGjYMBg0KDVSl2LIp\n0doM+AXwNZAE7mvgfSZakqT/V1UFr79ee82aFTrW77prSLqGDAmJ2MCBoaWEdzeqPWVTonUS8CXw\nJPAAcHwD7zPRkiQ1qqoqFNXPmhW+vv02zJsXarsGDKhNvHbZBXbcEbbfHoqLY0etfNTSRCsTZYh9\ngE+qH6/LwM8XkEwmY4eQsxy71nH8Wsfxa54uXcKdi2edBSeckGTaNPjii3B3Y3l5SLLmzYPrr4eD\nD4bNN4fS0lB0f9ppcM01obP99Onw8cehHUWhcu7F0THN9/0G+A7wD2C3DV4/BLgZKALuBK4FFgIl\nwFwyk8iJ8B9MWVlZ7DBykmPXOo5f6zh+LVczdokEbLNNuEaN2vg9a9bA3/4GH35Ye02ZAosWhWvx\nYujeHfr0gd69a7/27Bmurbba+GuXLvmzRenciyPdROtu4Fbg3g1eKwJuA0YDi4DXgD8Cj1S//p3q\n55IktYtOnaBv33DVZ/16+PzzkHR9+mnt1/nzw0rZkiW1X5csCb3BevYMZzt26xZWzDa86r7WtWto\n0rrJJuFrzVXfc1tbFIZ0E61pQGmd14YDHwAfVz9/ADgC+B/glDaITZKkNtWhA2y9dbiGDm36/VVV\nIfH64gtYsSJcy5fXPl6xItw9+cEH4fWVK8P25KpV4Wro8apVISns1Ak6dgyNXIuKah/X/VrfazUr\nbYlE7bXh87qPP/oo3N3Z1PvqPm7KxIkwYkTT7ytUzVkQLQWmUrt1eDRwMHB69fPvASOA8Wn+vA+A\nBv7mkCRJyioLgJ2a+6F0V7Tq09pbBpsdrCRJUi5pzQ7xIkLRe40SQiG8JEmSmqkUeHOD5x0Jy2il\nQDEwG+jf7lFJkiTluPuBTwnd3j8Bxla//m3gXUK91SUNfPYQYD7wPnBRA++5pfr7c4A92ibkvNDU\n2JUBy4A3qq+J7RZZ9vsN8Bkb/3FQl/OuYU2NXxnOvcaUAC8C84C3gHMaeJ9z8N+lM3ZlOP8asinw\nKmHx423gmgbe59yrXzrjV0YWzb8iQhJWCnSi/lWvQ4Gnqh+PAF5pr+CyXDpjV4YtNBqyH+Efj4YS\nBedd45oavzKce43ZBhhS/bgr4Q9S/+1LTzpjV4bzrzE1R3N3JMyrfet837nXuKbGr4xmzL9Md/HY\nsAXEGmpbQGzocOCe6sevAlsAW2c4rlyQzthB3IPBs9k04J+NfN9517imxg+ce41ZTPjjCOAr4B2g\nd533OAfrl87YgfOvMVXVX4sJf7R/Wef7zr3GNTV+0Iz5l+lEa8PjeCAUy/dJ4z3bZjiuXJDO2KWA\nfQhLv08BA9ontLzgvGsd5176Sgmrg6/Wed052LRS6h8751/jOhCS1c8I27Bv1/m+c69xTY1fs+Zf\na9o7pCPdFhB1M0NPm05vDF4n1DNUEerlHgN2yWRQecZ513LOvfR0BR4GziWsztTlHGxYY2Pn/Gvc\nesL2a3fgWcJWV7LOe5x7DWtq/Jo1/zK9opVOC4i679m2+rVCl87YraB2ifNpQi3XlpkPLS8471rH\nude0TsAfgN8R/iGuyznYsKbGzvmXnmXAk8CedV537qWnofHLqvmXTguIDYvyRmJRXo10xm5rav8q\nGU7tcUgKSkmvGN55V79SGh4/517jEoSzYW9q5D3OwfqlM3bOv4b1JNRcAXQG/gIcWOc9zr2GpTN+\nWTf/6msBcUb1VeO26u/PAdI4fapgNDV2ZxFuf54NTCf8B6OgpiXJakItwik475qjqfFz7jVuX8L2\nw2xqbwH/Ns7BdKQzds6/hu1G2NqaDcwFLqx+3bmXnnTGz/knSZIkSZIkSZIkSZIkSZIkSZIkSZIk\nSZIkSZIkSZIkqWX+DxfMQMLMnRwFAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "w, h = freqz([b0, b1, b2], [a0, a1, a2])\n", "semilogy(w,abs(h))" ] }, { "cell_type": "code", "execution_count": 190, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 190, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAlYAAAEACAYAAABxmjhoAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "Fs = 44100\n", "f0 = 10000.0\n", "dBgain = -20.0\n", "S = 2.0 # shelf slope\n", "\n", "A = 10**(dBgain/40)\n", "\n", "w0 = 2*pi*f0/Fs\n", "alpha = sin(w0)/2 * sqrt( (A + 1/A)*(1/S - 1) + 2 ) \n", " \n", " \n", "b0 = A*( (A+1) - (A-1)*cos(w0) + 2*sqrt(A)*alpha )\n", "b1 = 2*A*( (A-1) - (A+1)*cos(w0) )\n", "b2 = A*( (A+1) - (A-1)*cos(w0) - 2*sqrt(A)*alpha )\n", "a0 = (A+1) + (A-1)*cos(w0) + 2*sqrt(A)*alpha\n", "a1 = -2*( (A-1) + (A+1)*cos(w0) )\n", "a2 = (A+1) + (A-1)*cos(w0) - 2*sqrt(A)*alpha\n", "\n", "w, h = freqz([b0, b1, b2], [a0, a1, a2])\n", "plot(w,abs(h))" ] }, { "cell_type": "code", "execution_count": 191, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAloAAAEACAYAAABrptjmAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "shelved = lfilter([b0, b1, b2], [a0, a1, a2], sig)\n", "specgram(shelved);" ] }, { "cell_type": "code", "execution_count": 193, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAVYAAAEPCAYAAAAZLuy8AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n2OZLjdkAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "PoleZeroPlot([b0, b1, b2], [a0, a1, a2]);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Filter families" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Chebyshev Filters" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "http://en.wikipedia.org/wiki/Chebyshev_filter\n", "\n", "* Type I: Ripple in the pass-band only\n", "* Type II: Ripple in the stop-band only" ] }, { "cell_type": "code", "execution_count": 195, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "(array([ 0.38096036, 0.76192073, 0.38096036]),\n", " array([ 1. , 0.32450947, 0.27114842]))" ] }, "execution_count": 195, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from scipy.signal import cheby1\n", "\n", "b, a = cheby1(2, 0.4, 0.5)\n", "b,a" ] }, { "cell_type": "code", "execution_count": 196, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 196, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAlYAAAEACAYAAABxmjhoAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "w, h = freqz(b,a)\n", "plot(w, np.abs(h), 'b')" ] }, { "cell_type": "code", "execution_count": 197, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "(array([-1., -1.]),\n", " array([-0.16225474+0.49479472j, -0.16225474-0.49479472j]),\n", " 0.3809603640233169)" ] }, "execution_count": 197, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAVYAAAEPCAYAAAAZLuy8AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n3f8H2Ew7mm2JlsEAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "PoleZeroPlot(b,a)" ] }, { "cell_type": "code", "execution_count": 198, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAlYAAAEKCAYAAADQARsOAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nXfw/UCeI+IFMxTcAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ripples = [2, 0.5, 0.1, 0.01]\n", "\n", "for ripple in ripples:\n", " b, a = cheby1(4, ripple, 0.6)\n", " frq, resp = freqz(b,a)\n", " plot(frq, abs(resp))\n", "\n", "\n", "legend(ripples)\n", "title('Different ripple values for a Chebyshev I filter')\n", "grid()" ] }, { "cell_type": "code", "execution_count": 199, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAlYAAAEKCAYAAADQARsOAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\niIiIiEh58f/RfETvo6plgQAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "orders = [2,3,4,6]\n", "\n", "for order in orders:\n", " b, a = cheby1(order, 2, 0.6)\n", " frq, resp = freqz(b,a)\n", " plot(frq, abs(resp))\n", "\n", "\n", "legend(orders)\n", "title('Different orders for a Chebyshev I filter')\n", "grid()" ] }, { "cell_type": "code", "execution_count": 200, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAlYAAAEKCAYAAADQARsOAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from scipy.signal import cheby2\n", "\n", "ripples = [12, 15, 20, 40]\n", "\n", "for ripple in ripples:\n", " b, a = cheby2(4, ripple, 0.6)\n", " frq, resp = freqz(b,a)\n", " plot(frq, abs(resp))\n", "\n", "legend(ripples)\n", "title('Different ripple values for a Chebyshev II filter')\n", "grid()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Butterworth, Elliptic and Bessel filters" ] }, { "cell_type": "code", "execution_count": 201, "metadata": { "collapsed": false }, "outputs": [], "source": [ "from scipy.signal import iirdesign" ] }, { "cell_type": "code", "execution_count": 208, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAmAAAAEKCAYAAAC17OlxAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nRERERCQX/wMDZulYjXaZtAAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "Wp = 0.5 # Cutoff frequency \n", "Ws = 0.6 # Stop frequency \n", "Rp = 0.1 # passband maximum loss (gpass)\n", "As = 60 # stoppand min attenuation (gstop)\n", "b,a = iirdesign(Wp, Ws, Rp, As, ftype='butter')\n", "frq, resp = freqz(b,a)\n", "plot(frq, abs(resp))\n", "twinx()\n", "plot(frq, angle(resp), 'r')\n", "\n", "title('Butterworth filter')\n", "grid()" ] }, { "cell_type": "code", "execution_count": 207, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAlYAAAEKCAYAAADQARsOAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nKgAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "Wp = 0.5 # Cutoff frequency \n", "Ws = 0.6 # Stop frequency \n", "Rp = 1 # passband maximum loss (gpass)\n", "As = 20 # stoppand min attenuation (gstop)\n", "\n", "types = ['butter', 'ellip', 'cheby1', 'cheby2']\n", "\n", "for t in types:\n", " b,a = iirdesign(Wp, Ws, Rp, As, ftype=t)\n", " frq, resp = freqz(b,a)\n", " plot(frq, abs(resp))\n", " \n", "legend(types)\n", "title('Filters')\n", "grid()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You can use the *iirfilter* function from scipy.signal to design and filter in a single step.\n", "\n", "http://docs.scipy.org/doc/scipy/reference/signal.html#filter-design" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Approximating arbitrary responses" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "There are several techniques that allow you to arbitrarily define target filter responses." ] }, { "cell_type": "code", "execution_count": 209, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 209, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAmAAAAEACAYAAAAUd8oXAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\noVAoFAqFQqFQKBQKCf4/K6MNJy2240UAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from scipy.signal import firwin2\n", "\n", "freqs = [0.0, 0.5, 1.0]\n", "gains = [1.0, 1.0, 0.0]\n", "order = 150\n", "\n", "taps = firwin2(order, freqs, gains)\n", "\n", "frq, resp = freqz(taps)\n", "plot(frq, abs(resp))\n", "twinx()\n", "plot(frq, angle(resp), 'r')\n" ] }, { "cell_type": "code", "execution_count": 215, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 215, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAmAAAAEACAYAAAAUd8oXAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nJEmSJEmSJEmSJEmSJEmSJEmSJEmqxv8AE8Uh3vo3IdYAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "freqs = [0.0, 0.3, 0.5, 0.8, 1.0]\n", "gains = [1.0, 0.2, 0.5, 0.1, 0.0]\n", "order = 200\n", "\n", "taps = firwin2(order, freqs, gains)\n", "\n", "frq, resp = freqz(taps)\n", "plot(frq, abs(resp))\n", "twinx()\n", "plot(frq, angle(resp), 'r')" ] }, { "cell_type": "code", "execution_count": 216, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAloAAAEACAYAAABrptjmAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\njo6Ojo6Ojo6Ojo6Ojo6Ojs8f/D+hSRrpY4SOIQAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "shaped = lfilter(taps, [1], sig)\n", "specgram(shaped);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Parks-McClellan Filter design" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "http://en.wikipedia.org/wiki/Parks%E2%80%93McClellan_filter_design_algorithm" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Remez filter design" ] }, { "cell_type": "code", "execution_count": 217, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 217, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAmAAAAEACAYAAAAUd8oXAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJztvXmYHlWZ9//pzr6RkKTTWTrp7HsaiIoIou07osAroCMz\n6rihP5VxBkFfHUdHHNsZHWd0ZlAEHRzcxgWdUUFQcDcgogyafYMkJBCSkACBkJAEkn6e3x/nqXSl\nupazVZ2qp8/3up6ru5+uqnNO1Tnn/tb3vs99wMPDw8PDw8PDw8PDw8PDw8PDw8PDw8PDw8PDw8PD\nw8PDw8PDw8PDw8PDw8PDw8PDw8PDw8PDw8PDw8PDw8PDw8PDQxqDgFXAbTH/6wYONP6/Cri6uGp5\neHh4eHh4eBSKNE4kjcGSx10FbATGJPz/TuBik4p4eHh4eHh4eFQAWZxICq0Sx3QAFwI3Ai0JxyR9\n7+Hh4eHh4eHRLJDhRFKQIWDXAH8D1BL+XwfOBtYAtwOLTSrk4eHh4eHh4VFSZHEiaWQRsFcB+xC+\nziSmtxKYDpwGfB64xbRSHh4eHh4eHh4lgwwnkkbWBf4JeDNwHBgOnAJ8H3hLyjnbgecB+8Nfzpkz\np75t2zb9mnp4eHh4eHh4FIdtwNzQ3zqcKBEqDO6lwAeAiyLftyMYYR04E/hvYGbM+fV6va5RRY8y\noKenh56eHtfV8NCAf3bVhn9+1YV/dtVGS0sLJPOkJE4kDdlVkAECBnV54+cNwKXAuxGM8DDwet3K\neHh4eHh4eHhUBEaqkgoBu7PxAUG8Alzf+Hh4eHh4eHh4DASEOZEWZFZBenjQ3d3tugoemvDPrtrw\nz6+68M/OIw1F5u/yMWAeHh4eHh4elUBGDJgxvALm4eHh4eHh4VEwPAHz8PDw8PDw8CgYnoB5eHh4\neHh4eBQMT8A8PDw8PDw8PAqGJ2AeHh4eHh4eHgXDEzAPDw8PDw8Pj4LhCZiHh4eHh4eHR8HwBMzD\nw8PDw8PDo2B4AubRdFizBnbscF0LDw8PDw+PZHgC5tFUuOYaeOUr4XnPg5tucl0bDw8PDw+PePit\niDyaBg8/DGecIRSwPXvgkktgyxYYNcp1zTw8PDw8qga/FZGHhyQ++Um4/HLo6IAXvABe8hK4/nrX\ntfLw8PDw8OgPr4B5NAWOHIHJk4XiNWmS+O6uu+Cqq2DVKrd18/Dw8PCoHrwC5uEhgZ/9TMR9BeQL\n4JxzYNcu2L7dXb08PDw8PDziIEvABgGrgNsS/n8tsAVYA5xhoV4eHkr4wQ/gNa85+btBg+Dii+GW\nW9zUycPDw8PDIwmyBOwqYCMQ50O8EJgLzAPeBXzRTtU8PORQq8GPfyyC7qN41avgpz8tvk4eHh4e\nHh5pkCFgHQiSdSPxvtCLga83fr8XGAe0W6mdh4cENm2CsWNhxoz+/zv7bLj3XkHSPDw8PDw8ygIZ\nAnYN8DdAkgmbBuwM/f0IgrSdhI8rV83DOe67D26+2XUtMvGb38C558b/b9IkmDABNm8utk4eHsqo\n1eCpp1zXwsOjOHz3uyJnUHUwHCE0rUZ4BT9lcrEsAvYqYB8i/ittJUD0f/1clacBPT09Jz4rVqxQ\nqacZgmhsDzXce28l/Hd3351MwABe9CK4557i6uPhoYW774aLLnJX/r598Nxz7sr3GHi48UZYvdp1\nLVRwFHgZcDrQ1fj9xboXG5zx/7MRLsYLEczvFOC/gLeEjtkFTA/93dH47iR0AZf09OjW0wwPPQR/\n/CNMm+am/KqiXofeXte1yMRvfgN///fJ/z/7bEHA3vGO4urk4aGMI0eEMarVoNXBAvX3vhde/nJ4\n+9uLLxvg/vthwQI3ZXu4QUVsTASHGz+HIhYo7te9UNYo/zsEuZoFvB74FSeTL4BbQ9+dBTwF7I1e\naBLA00/r1fL4cfj5z/XOBTGhrV2rf/5ARa1mPjj2a/dNKTz6KBw8CPPmJR/z/OfDypW5VsM+Pvc5\nsbLAY+CgXodDh9xtZPrcc+7UiIMHYdkyePZZN+Xv2ye20vBQx+zZ8MwzeufasDHFoxXhgtwL/Brh\nitS+kAoC1+LljQ/A7cCDwFbgBuCv4k7cALB+vXoNQSRyeu1rxQSlA1MCtmbNwAwiMh0cTz8Ns2bl\nOsBWrRLbD7XEOcgPHoSnnmLJEvFyfexYbtWwj/XrzV46THHuud4dVTSClSKuXhbrdVi3zk3Zx4+L\nAepqnv3GN+BjH3NTNggZ//hxd+Xrol4X9nnDBr3zq0nAaggXZAfwEqBb90IqBOxOhDsSBNG6IfS/\nKxCpKE4DYrWGtaA/sdRqwpg+9JDe+fW62aT2zW/CDTdkH9dsMJWHn3tOkLCtW+3VKYLVqwUBi8WX\nvgQf+QgjR4rtiXKshn24VG3rdRGP5MoY/vCH8IEPuCkb9F/0TOGagAV9zkX7gzJdtb23162X5B3v\ngN/9zk3Zhw7BL3+pd65pny2ZC3LFihUnxapn4ADwY+D5uuUVFmhgTMBMz9+yRcRY6MCUwFUVpm8n\nBUyqgQIWi5BLZdkydy/3Wgj63EA0hvv2QZGLdKK44AIRM1o0gvvuqqPWaiJkYPduN2WDW/K5YYM7\nFcrlC9fKlfDud+udG9gHE9tcIgLW3d2dRcAmIlJtAYwAzkMsUtRCNQiY6cRUq4mNAjdqumprNeGG\nHGh7WZoOjgIm1VQCFrhUajWWLq0YAavV4Ikn3CzRHujGcP9+sQK4aNRqMGeOW+WzpcVN+a77XL0u\n4s+2bHFTfq3mlnhv3aoXxxWM0SYhYBKYgoiFX41IR3EboCkfFkjA1oHoYDokxobMefrpZuc/8YSI\n+B5IMJWHc55UDx4UL+uJC6dCruvKKWAuDZJrBaxWg6NH3fmMXRnDWg0WLoSdO+Hw4ezj8yh/3jx3\nfa611W2fA7cE0GXb63W9OK7e3j7SrmPbS+aClMA6YDl9aSg+Y3KxwgjYfoDRo/XiuGo1GDLEjGWb\nEDDXg9MVSu6C3LhR2KtBgxIOCJ7bunUsWaIvgDpBvQ4TJw5cNcJl+a7cQfU6DB0q3ih0g5pNUKvB\naae563NtbSJMZN8+N+UPGuS2zzXU+sJhMt56e+GUU0S/1cm1WT0FzCqKTTbT1aX3kOt1Ic3v2KEX\nx2U6sdRqooOtWaN3flVhwwU5ebKYUHVTkKRg40ZYvDjlgJBLZfZsscq8MguNTF8aTBAQgcOH4bHH\nii8/RJydIOS6LhRB/i/dedIUpp4CE4Tb7uK51+vibc6lG/DoUTcpSExeuI4fF8R12TK98z0BKxC6\nE0utBsOHw/z5ejJGMLHoxnHV6yKJa7W2TDCHDRfk4MGwZIl+CpIUbNoEixZllN9wqQwfLrigqxRL\nynCtRgSTqitX3JQpbtUIk1XXugheGFwRsFpNjNWtW4vPxxW4IF223RX5BNH+xYvdtX3oUH0FbPBg\nM3HFE7CCYELATCamWg2mThXX0InjClygA62j2HBB5jipZipgERIzb567GFtl1OvCGG7ZUnw+LtPx\nZgqXSgyI9nd0FF++awWsVoMRI0TuvqJTkJRBAZszBx5/HA4cKL5814r3kiV6cVyBAmZimweaXQ2h\nGgTM1JCbnu8JmP75ORqUTZskXJCLFgkl4/DhahGwWg1GjYKZM4s3huHx4koBmztXuD9dGENXBDBK\nfItede1ShXJN+gO13tVyadeK9+TJwsapxnF5BcwIxRKwBQuEMVSN4zI15Kbn1+uikw20jmI6OHJ0\nqRw5IlZAzp6dclCtBsOGiX63cSPz5lUoGatLg+RaiQnGW06u60y4UiMCAtTeLlSFovNxuXzuQduX\nLhXSdtHBmq4JoOv4u6DtquQzUMAWLYJt29Rd114BKxBDh+rFcYU7iE4cV3C+SaCgV8D0zm9t7Ysl\nsvhGf//9wmMwOG07+cikWikFzKUKFdy3wBgW3e9dE0BXakR4E27XKpSLPtfaKlbKT51a/JtSGWLQ\nFiwQKUh091XUhUnbe3sFARs+XLwNq6r1noAVDJ2HHHSQyZP14ri8C1IPNghYSwtMmABjxlgNat6y\nRXD5VATPvUG8586tEAErgxoxZowYc0UbwzKoEQsXimWzRebjCtoNbp+7S/IHA1f1HTpU9LuiU5CY\ntD1wQYK+bXeReqMkqAYBCzqIrooVnL94MTzwgPquzN4FqX9+Tm/0W7aIoPpURCaWmTPFC2YlHmMZ\nXJAw8IgAnOy6LtIYRseLK+Vz+vTiU5DkOFdIIewlGWgpSEzmmsAFCfq2vRITcj4onoDpEKgglgj0\nJqagg40cCZ2dwn+ler5XwPTOz5GAzZ0rUX5oYhk+rM6ECRXJJhIYpBkzxGa5jz9eXNllUSNcGkMX\n5LcsxNeFG7IsbT/1VBg3rvh8NS7dv0HbFy1ST0FiqoB5AlYwdOK4TAZnUE5gUHRyGw1UAmYjD1j4\nvhetgEVd13v2MHNmRXKBhVXfoiflsqgR48eLLNsu8nG5iL8Lj5fFi4tPQeKSBJWF9Lsq37X7t7VV\nL47LVAHzqyALxpQp4qdKHJfJ4AzUs+D8sWOFoqCCgeqCtJUHDNy6IEMkprOzIgQsqvoORCXGVfmu\n3EHhdg8fXnw+LpckKNz22bOLz8dVFgLoIgWJSdvDClhHh8jmr7KVlFfACoaOtB8enIsXCxeibBxX\nuHOBYOuqD3ygKmA2XZC6KUhi8PTTgkNPnZpxYAyJmTmzeEFFC2VRI2bPFhNq0cbQZSxUNH1KUcYw\n3G5wS4Jckv7WVpGCxKXq6yr+rr1dEJoiU5CYPPdgFSScHEMnC0/AMjEcuBdYDWwEPhVzTDdwAFjV\n+FydekXVhxwenKpxXOHOBZ6AqcCmC1I3BUkMgvivMK9OLD8ysVTKBVkGNWLQoOLzcZVFjWhvFz+L\nChqMviy6JEHB7vVF5eMKvyyBV32r0vawC1LnfO+CzMRR4GXA6UBX4/cXxxx3J3BG4/OJ1CuqvmGY\nTEzRt0odAuZdkHqIkl9LE8uDD4ocYJmIMeSVckEG967ofFwDWYmBvn5TdCB+TuNFGuHxMmaMCBcp\nKgVJXJ9zFX83f75YLl10ChJXfd4k3CHsgtQ53ytgUgh64lBgELA/5pgsPaIPJi5I1fO9C1IfNl2Q\nYG1i2b5dhMdkIuq6fuABZk59rnouyDFjhBpTpDGMvvC4WhEXuK6LNIauCGCZiG/R5btW/8JtHzKk\n+BQkLlXfcL/r6BBhIrJxXKYKmCdg0setBvYCv0a4IsOoA2cDa4DbgbQd+vTiuHQnBhsuyHp9YBIw\nmy5IsDax7NghtkiUKj949iNGwMyZzHz2fh5+uAK5/1wapDIpMYExtOC6VirfFQELP/Oi83G5JIDR\nPld0CpIykV+X40111XVUAVu6VGzSK+u69i5IKdQQLsgO4CWImK8wVgLTgdOAzwO3xF2kp6dHfD79\naQ63tcnHcbl2QdZq3gWpgzhDrrOVVAQ7dkgqYDH9ZvgDaxkzpti0WlqIu3dFqVDRMZPDVlKpKBMB\ndElCdIKaTeBS+Yz2ufHjxYr1ouRq1wpcuP06+bhMYDLXRBUw1a2kvAKmhAPAj4HnR74/SJ+b8g5g\nCDA+evIJAtbTw8izztJXsTo7xVK4J57IPte7IE/G6tXwifQQvROo1czeQKOTqu5WUhFs3y6pgMW9\nVa9dS0cHPPKIURXyh2s1IjxmcthKKhVlUiMWLSouH1e03TBwlM/oPF10+WUi/UWnIDEZb1EFTPV8\nT8AyMREY1/h9BHAeYqVjGO30xYCd2fg9Lk6sDyqJOaMdpKVFBEpu25Z9ri0XZLMoYFu3wre+JXes\nbRekhaDmel3wAGUXJJwouzIEzNUbuWsiUCY1ouG6LsQYRokvuFWhZs8W7s8iUpBE52lw2+cD+zQQ\nVF+T8RZOQ6FzfvVckNMRYVgbgPXAlSYXkyFgU4BfIWLA7gVuA34JXN74AFwKrGsc81ng9ZlXNQmk\nB5HWQCaGzJYLslkUsN5esR+mTD4u2y5IMJ5Y9u2DUaOE0p2JhImlEgQseu/mzIG9e4XymzfKpkYU\nbQxdEcCyEd8iU5C4bnuU/La3i/YXkY8rulsLFEu8o+MtWHUtE8cVdUFCsytgx4D3AUuAs4C/Bhbp\nXkyGgK0DltOXhuIzje9vaHwArgeWNo45G/h95lVNAulBnkhFB5YnYKI9MkHNtldBgvGWRNLuR4h3\nXR86xLzxT5SfgMW9OBRlDMumRoS2kioEruLv4ohvkSlIXD5316Q/zssyUNuuEsdl6oKsngL2KEJo\nAjgEbAKyUoInovhM+AGCOK796Z5KIN6QyxIpnwfsZARvNTIDxHRwJLlUDCYW6QB8iJ9Uly1jce+6\nahAwV5OyazUiB9e1cvku3EFxBGjMGEFAi0hB4vK5x7V9/nx4+OFiUpC4HG9leOHRbXucAqaylVT1\nFLAwZiLynt6rewF3BKy1VX6FT1wHUSFgXgHrQ9AGmcGVhwLWyMclnYIkAukUFEH5MRPLrENr2blT\nq3j43e/gmWc0T1ZA2dSIIvNxJbXd5WpAV8S36PLLRPqLzMflss/Ftb3IFCQmc02cAqaylVTJCNiK\nFStOWiyYgtHA94CrEEqYFtwRMJB/yKYuSB8D1ofjx2HatOIIWHRCV91KKgIjFyRAVxfte9fqK2Af\n/CDccYfmyQoomxoxZIi1raQy4VqBi7Z/xgyx+WjeuUvixgu4fe5F5eNy3XaXfS6u7ar5uEzL1217\nnAKmcn7JXJDd3d0yBGwI8H3gmySk3JJFNQiYd0HaQ28vLF8ul4/LhgvS8hu9kQuyUfaY7YKAacV0\nHz/ublIuKhjdtRKTg+taCUnxQHkbwxzGixLinvv48XDKKfmnIElru6v4u8WLi0lBUobnrjve4lZB\nAkycCE89JVd2texqC/BlRDL6z5perDoEzLsg7eD4cSFvQ3Y+rjxckGBMwIxckEuXMmjTBkYO65UK\nP+yH3l53akRR+bjS1AhXb+SB67qofFwuCGAZiW9R5Zeh7dHyi8rHVca2y8ZxxbkgQc0+V8uungO8\nCbEn9qrG53zdi7klYEuXCv9+1gPwLkh7CN5YZIxpkIhVV3Gx7Fao1QT36OyUPCGu35xyCrS3c+aE\nbXr5YItUwFxNymV8Iw/ycWm6rpXgKv4uabzMni3yr+Sdjyutz+VNvLPmimZWfV0SX4hvu2wcV5IL\nUsU+V8uu3o3gTacjAvDPAH6iezG3BGzsWNHxsoKavQvSHoI3FpnBHUx6uvEflg35o4/CuHEijEwK\nKZPqC0es1ctq0NsrAtHyzsflUoVKM0YWtpLKRBkIoAsCltTuolKQuIzDSmp7e7v4Pu8UJC7bnjTe\nliyRz8dlWr7uXDPwFDCrcEvAQO5Bxb0heBekHoI3FpmJJSBeuu1Omlg6O+HgQbmtpEJQcj9C8pvl\nsmV0sVZPAevtFQwwb2PokoQkTciWtpKSKt81AXORjyup3dD8ymdS24tKQeK67XHjbcwYmDIl/xQk\nJm03VcA8AXMMmQdlooDZckEOZAXMhIDFTSyamwxv364QgB+UnzCxzDuqScCOH4fTTnOrQrkyRkUZ\nQ9cr4pLycbW352sMk9oNbpXPIlKQZLXdFQE0TBwthaTxBuWPvzNVwKrngrSK6hAwEwXMuyD7ELyx\nLF4s4mnS8nGZKmBpE4vGxKYU/wWphnz6kwYK2PLl7uJCFiwQUqDMVlK6KKsSU5QxBDcEsAyGOK7d\nQT6uPFOQlLXtM2aIEJk883FljTdX8XcyKUiSVkF6BUwK1SBgJkH43gV5MoI3Fpl8XHm5IEFrUn3k\nkb4FnFJImtTnzmX0ob08+fBBpfIBQWDPOMPdW+nQofnn4yqrGtHYSirXfFxJxBfyN4Zp4yUwhnnG\n37kkQWUl/UWkIHE93pLaPn68iNNOW3XtXZBGqAYBc+2CrNebi4AFAyZrcOflgpQpOwY7d0JHh2L5\nCUHNz8xczMgHNeK4env7CFiextDlpFxWNULTda1ctksSkvTMi0hB4rLtacR30aL883G5brvr8aZb\nvndBGqE6BMylC7KZYsDCbyxZLp08XZCyKUhCeOQRDQKWMKnXlnQxYbfGxNbbK2KBRo8W+9TlhbKq\nEUXk48pqe7OqEWntLqJ8l21P63NBCpI883G5jL9La/vs2cL9mWcKkizVN+25myhg9bonYK4r4F2Q\nBSP8xpI1uPJ0QY4dC5MmwYMPSl/OmgsSGPK8Ljr2axgUlVWkJnD9Rp40IY8YYbSVlBRctz2p7Dlz\nYO/e/FKQpLUb3LY9710Y0ggQNLcKldb2IlKQuFLATD0sTYBqELAyuCCbUQFz6YKUKT+EI0eE3Zs4\nUbH8hIll5FldLHxuLc8+q3A9UFtFaoK0e7dsWb75uFwTgbIqMXkbQ9ckJK3tQQqSvPJxyah/rlSo\nvFOQVFn5NFXAoDnsqiaqQ8BcuyCHDNFPSFomhN9YOjsFq0nakydPFyQoTSy7dok9xNMu1w8pE0vr\naSIX2N5HFUlMUQpY2r2bMkX8zCsflwwRyNMYWnZdK8ElCcoaL3mvAk1re94pSFyT/jTVd8wYQUDz\nSkFShrYnlT9/vgi1SEpBYrIK0tS+NAGyzNlw4F5gNWLzyU8lHHctsAVYg0jNLw/vgiwW4TeW1tb0\noOY8XZCgNLEoux8hfWKZOJGjg0fzxCrFOK6AwBZhDJPqnrcxLMMbeVL5ja2k2LYtn7Jdtj1rvOSd\nj8ulClVm9S/v8svc9iAFyYYN8f83cUF6ApZJwI4iNp08Hehq/P7iyDEXAnOBecC7gC8q1cC7IItF\n9I0lbXCXyAWpvAIyKD9lUt05rotn71Oc2AICu3Bhvvm4XKpQrt/IXRokl21PU2Eg/xQkrtueVvaM\nGfmmICm78pmVj8sEJnONd0EaQcahE7xuDQUGAVF/1cXA1xu/3wuMA9qla1A1F2Te++DljegbS9rE\nkrcLcu5c4UY7mJ2PS3kFJGROLI9PWUbresVJNSCwQ4fCvHn5GUPXSkzahKy5lZQ0ytz2PIPRswgQ\nNK8Sk9X2vPNxue5zaWWPHy+U37xSkJi0PUkBa231CpgEZAhYK8IFuRf4NcIVGcY0YGfo70cAeVOZ\ntwsy+lapS8BaW8V1qh4HFn1jyZOAZU0sQUZ+iaBm6y5I4OCsLkZu0yBg4VWkzahCZU3IeefjKnPb\n88zHlUWAwC0JyTMFiWzbXZGgPEMOyt72tLK9AmYEGQJWQ7ggO4CXAN0xx0R7T+zrYU9Pz4nPihUr\nxJd5uyBtbUXU2qp3btkQfWNJC2o2HSBZLhWQntjycEH2Luliwi6FSa1eP/maLtUIma2kTMp2qcRk\n9Zu8jaGrtmcRoDzLhuy2B/m48khBUoa2p/W5OXNg37588nHJtt11/F2c6utjwIwQc+cScQD4MfB8\nYEXo+11AWJvoaHzXDz09Pf2/LMIFGT5XRhqNu0azELDoG8vYsdDWJvJxzZt38rF5K2AgPalqKWAZ\nE8vQroWMf3qHiOMaMSL7eoH7MbhmVxf87GeKlZJE1qQc3kpq6VK7Zcu+kf/hD3bLDZef5boO8nGd\ncor9smVVqIsvtl+2zHgJUpBk1VMVMtcMxuuyZXbLlm37jTfaLTdA1ngLpyA55xy7Zcu2/ZZb7JYb\nIKvt7e3i/3v2wNSpJ//Pr4I0QpYCNhER0wUwAjgPWBU55lbgLY3fzwKeQrgr5VCEC9JGDFhLS3MQ\nsLg3liRFwQYBsySta8WAZUwsk2cMZeewebBpk9z14ty3eeXjGuhKTFq/UXBdK8Nl22XGS5CPK48U\nJC77nEzb88zH5Xq8ldkFmbbq2rsgjZBFwKYAv0LEgN0L3Ab8Eri88QG4HXgQ2ArcAPyVUg28C9Ic\n27bBn/+53LFxbyxJg8uGCzJrUpPYZPjoUSF2tLUplp8xsUyeDOtaFCa2KHmdMkXUe6/8+4Y0XMaF\nyBijPPNxuXTJuDbEWWXnmYLEJRGQafuYMUKNySMfl8v4O5k+l2cKEpO5xrsgjZBFwNYBy+lLQ/GZ\nxvc3ND4BrkCkojgNWKlUA1mmbMsFaRKEX1YCtncv/PjHcnWLe2NJGlxFuCDb2oQ7befOxEN27RLK\nt1ISVsg0KJMnw33PdlFfo0DAwvcub2NYZjXilFPEVlJ55OMquxKzYEE+KUhk2g35tD14AbIUs6kM\nl22H8o+3IB9XHquuTdqepoBlLVjzBKxCmfC9CzIZvb3izUhmX8W4N5a8FDCZiSWt/Aa03I9B+SkT\ny4gRcP+wLo6vkpxUVcirKWQMUl7GUGZCBrcGyaUhzisfl6Xxol22zDPv7MwnH5dK212pUBJqvRbK\nMN5055qBtxfkVxAhVlY6YXUImMs8YGV3QR4/Ln7KDM44EhHk4zp06OTvTXcAsDSxaK2ABKlJ/bEp\nXbSslYzjUiGvppBxBwVbSdnOx6WiRuRhDGVd13nk43KtQsmUnQfxliVAeaUgKQMJyWp/XilIXKt/\nMm1fvBi2bOmfgsQkBqyaO8x8FTjf1sWqQcBsb0Wkmsur7C7IoE4yk2IciRg8GBYt6h/UbDpALE0s\nWisgQWpSb502hVqvZBxX3GTj0iWTtZWUSdmulJig/Ky2T5wIo0eLfepsQnZ1oUsVKo98XLIECPIh\n3q5JiEsC6Hq8ybQ9SEGyefPJ35uugixqh5ktW2D3bhtX+g3wpI0LQVUImHdBpsNUAYP4wW26BZOl\nicVIAcuYWCa1t/DkdMmJLY68LlmSTz4uly6ZKqgReZUvSwRcqlDhFCQ2y1YhYHmofzJtnzOnLwWJ\nTVRJ+SyT6mvqgixKAbv2WvjCF/IvRxHVIWDeBZmM3l6YPVufRED84CrKBblwIWzfLpY7xsAoBixj\nUm9rgz0TJY1pHHkdOVLsU2c7OaXrN3KZshW2klKC67bLkj/bKUhUVSibbZdtdx5lB+XLtD2cj8t2\n+WUn/UEKkj177JavovpGX/aq4oI8flzqRXXFihUnJYzPG9UgYLZdkM22CvL4cUFi9uzpH8cVRZJk\nnETATBUwmYklY1/FPF2QbW2wY4yCApZ075rJJSNrjPLKx1UFNWLKFPHTZj4uVRXKZp9TIX95pCBx\nTQCrEn+quUjOAAAgAElEQVTnkgDaVsAC+6IaEqSD3l6p+9bd3e0JWD+4dkEGbwhlJWC9vYLExMVx\nRZH0xhInb5tKxCqTasrElqsLchJsHmrgggS3JCgPY+hSiQH5tudlDGXanocxdElCVMjfKaeIfFw2\nU5CUoc/JlJ9HPq4yxN/pqn+miViLUsB6e0XqmDy2kjJAdQhYtIPIbilkwwVZdgUsIAYyE1MSiYjL\nx1WUCxIS6370qBgzkyZplC/pglxzXDKOSyV+zhSy9y68lZQtlCEeSNZ1bTsflyoJcqVCuSR/eZUv\n23aXKlQeKUiqMt5mzOifgsRUARs0SJSfx24iYQRx0uZq/U3APcB8YCfwNpOLVYOAlcEFWWYFLCAG\nMoMziUSACOyNErAiXJCQWPfduzWTsILUxDJpEux6shHH9cAD6dcrWgFzNSmr7DPosu0ZrmstuCZB\nsmV3dorYO1spSFTaDW4JYB7B6C5VKNfuV1XVN9x201WQRQkbvb1CYDC/d28ApgLDEHtgf9XkYtUg\nYGVwQVZBAZN5M0wiEdCfbBXpgkyYWLTdj0H5EjFgjz2WXP5JSCKvnZ1Cptu/X7OiMXBJgnTUCJvG\n0KUKVRXiazsfl0q7IZ+2y5Y/caL9fFyun7ts2XmkIDGZp01dkEXZ1ePH891PUxPVIWAuV0GW3QUZ\nVcDSjGGaAhZtX5EuyKlTRTmRfFzaKyBB2gW5bx9m7lvb+bhkt4UJ4FKNmDgRRo2ym4/LtQol2/bF\ni+2mIHFJglRdkLbdgGUggFV44QnycdlcdW0y3kxdkC0t8uFEJujtheXLPQHrh7xdkNGB1YwuyGAQ\ntLWJAZqyr2KiZAzxBKwoF2RCULP2CkiQmljGjxcphXqXSBKwpHtn2xiqGCPbxlDHHdVMKpRs2bbz\ncbmMw1J95nPn2s3HpdN2l33OZgqSKsffVUkBO+MMEQOWd7yZAqpBwExckAMlD1gwCLIGZ5oLMto+\nUxekylslxNY9bxfkoEFw6qmwv8Mwfs6lGjF3rkhBYisfl2s1QtUlYtsYumq7KgmySbxV2207BUmV\nYtCCfFy2UpBUqe1Ll4qYy8AmmCpgRcaAtbXls5WUAapDwOJckDL5QwZKHrAwAUt7MyzSBWnBmOXt\nggQxLh8dJhHHlUZebRpD1Ql58GC7xtD1G7lK+6dMEcfLbCUlA5dtVx0vNlOQqLYb7KpQrkm/Sp+z\nnYKkSm0PUpBs3Sr+Nk3EWpRnSSVTQIGoBgEzdUE2+1ZEYWJgUwGz4YI0NGZ5uyBBrIR87AmJOK40\n8rpsmV1jqLrs06YxrNIbuW1j6FqFUhkvY8eKzmsjH5dqu8Gt6rtggd0UJD7+Tv74cNtNtyIq0gUp\nmymgQMjc9enAr4ENwHrgyphjuoEDwKrG52rpGngXpDmiClhaB1NRwGy4IFUGdsy+inm7ICEUiJ81\nsaWR17FjRUC6jXxcumqEqzfyjK2klOGSAFbJBWmzfF3S76rttvNxVSn+rrOzfz4uE5jE31UpDUVF\nFbBjwPuAJcBZwF8Di2KOuxM4o/H5hHQNZJmyySrIqAuyVlOLGSm7CzJMDBYuFCQgyRiqKmBFuiBH\njhRyVyMf17PPwlNPaSZhDcqXmFgmTZJMRZFGXsGeClU1NcJ2Pq4qqRGdnSIQ3UY+LpfKp2q8JthN\nQVI1Augy/s52ChKTF56quCArrIA9Cqxu/H4I2IRIRBaF4uhtoOg8YC0t4qOy/1TZXZDhQTBsmAjK\n3rQp/lidVZC6e3XpKDmhiW33bhHik8Z5UiE5sUjnAksjr0icLwsdY2TTGFaNALqMv7OZgsSl8qnT\n5yZOhNGj7aQgqZrqazMflw75LUv8nQsX5E03qbc9qGceW0kZQDUGbCZC4bo38n0dOBtYA9wOLJa+\nYtF5wFTODVC0C7Jeh2eekT8+SqrSJiZVF6RJDJihITdyP4KeC3LDhmTCmUZewZ5B0JmQ47aS0kXV\n1IgY17U2XKtQLl2Qqn3OZvk6bXcZf2czBYnr8aba9jlz+lKQuFDAfvhD8VFBMHcPGSJImM3dMwyg\n8tRHA98DrkIoYWGsRMSKnQZ8HrhFvgYSSdhsbkWkcm74GkUSsA0b4Jxz5I+PvoWkDc4yuyDhpLob\nrYAEaSJzwgWZFccl44J0pUbYLr9KasTIxlZSNoyhrhrh6rnPnSvSIZimINEhQOA+Bs1WChJd8lt1\n5RPU2z5okHjpWb/eTRqK48fV2x6eu/PYS1QTsnd9CPB94JvEk6uDQKDp3dE4fnz0oJ6enhOfFStW\niC+LdkGqnBu+RpEuyEOHROeWDWqOEoOyKGCGE4vRCsigfBUXZKT8fshyQQb5uA5F308UUVU1wpYx\ndJkSwaUaodNuW/m4qkj6p0wRP23k43L53HXGm+0UJLptd5GItbdX/b6rZAooEDJ3vQX4MrAR+GzC\nMe30xYCd2fi9X0KlMAHr7u4WX5bdBRneFqYoAtbbKz5JcVxxx4eJQRrDL1IB05lYZs4UkfdPPmnH\nBSmZB2zfvsYfuuQVxH1dtMjcGFZRjZg6VZxnIx9X1Vxxtoyhy+euS/ptqQk6bbeZgqRq8XdBPi5b\nKUh02266ClLHrvb2wpYtanFcKpkCCoTMUz8HeBPwMvrSTFwAXN74AFwKrEME638WeL10DfLOA2bq\nggwPjqII2PHj4qdsJ4kSg2nTRDxMnDEscyJWOCmo2YoLUjYPmA0FLOt8WeiqEbaMoY4xCoxh1VUo\nHSIwdqxg8aYpSFyqULrkb+FCO/m4TFRfH39nXr5u/J0rF2StphbHFaeAlWBLIpm7fnfjuNPpSzNx\nB3BD4wNwPbC0cczZwO+la1B2F2T47aBIBQzkB1d0ECS9GQbB5UmDrQwuSDhR96JckOPHiyT4x45h\npoCRcb4sdO+brXxcZVDgqqRG2CrfpQql225bKUjK0OdUy+/sFLF3pilIytB23dXqaQpYVronExdk\nW5sa8Q7P3ba3kjJANTLhu3RBulDAgk6tQsCigyBucGYpOGVwQcKJuhflgmxthQkTGvNoWhxX1ipI\nsGMMde9bkILE1Bi6jgfSaX+nxFZSMnCpRug+dxspSHTbDXZUKNd9Tlf1tZGCxHXbdfrdxIliX8XW\n1vj7JpPuSdcFGWysrdL28Nxte/cMA5SDgGXlmXLtgixaATt+XKgZsgM7TpmJmxSzFJwyuCABurqo\nrVnL/v0izEEbChPLiUD8tDguFRekqTHUuW9B+aYGQScmJCjblRphKx+XKQkyge5zb2uDUaPM8nHp\nthvcqn+LF9tJQTKQ4+9MCKCKPUkqV0cBW75cnYDJZgooEOUgYGV3QbpQwDo7RZI/maDmOGJgQwFz\n5YJctgzWr2fq5Jp+EtagfAUCdiIQP2lik3FBtrXBiBFm+bhM1QhXRMBWPi6XKpTrOCxXz92U9LtS\n/2zl43L93HXKnju3Lx+XCUzGm4o9icLEBXnGGWqrrlUyBRSI6hCwgeSCPH68b98qmTf6OGKwZAls\n3twX0J90XBhlcUGOHctzp0zkzIkWgpolJxapQHwZBSw430SJqaoaEdlKShtVVCMC17VJPi6Xyqcp\n6TdNQVIGAli1+DtbKUhMxpupAqbrguzoUIvj8gpYAqqwCtJFEL7KxqFxxGDUKNFJw8Ywi0BEk+IG\nWxEV7YIEnpiyjBeOKO7NUioVhYwClna+LMpgjFwTQFduQN22Dx5sbgxdKp8mz3zKFHG+SQqSqqq+\nNlKQVDn+zoSAmShgqhtrR+dus62kzgc2A1uAv9W5QIBqELCyuCBlsvbbQBAwKNvBkohB9PysIPI4\nF6RpDJjmxPLwqV0sqxc3qU6cGFrMFExq0Td6FQXMlIDpTshTp4r+YGoMXRMwXTXChjF0pUK5JL4m\n7bYR1GzSdlsqlE6fGztWyOcm+bjK8MKjG3933XXJ/88rBkxnY+3o3D1ihMg5qe66HgRchyBhi4E3\nAItULxKgOgRsoLkgVTpYEjGInl8VFySweUgXsw8VN7FMnAiPP974o60Nhg8XqfjDkFkFCW6NkQ1j\n6FqNMHBdp24lJQOXbTchQaYpSEzaDV71NXX/VrHtgwbBm96U/v88XJCBvVMh3rKZArJxJrAV2AEc\nA74DXKJ6kQDVIGAmKlacb78qLsi4OK6k42UVMNU0FC6C8IGVx7tof6y4FW0n0lAEiBucsi7IhQsF\nCTAxhroTMjSHGjFQVShdEmSaj8uk3eC27Z2dIhDdJB+XSxJk0nZbKUhMnn0S8nJB6ihgcXO33lw1\nDQivsHqk8Z0WqkHATFQsG1sRuVLARo0SWe2zgpqTiEG0g6kqYKYuSINJ/Q8H5jHyyV36+yrW60qB\ntScpYKC3ijRAkI9LdiupKKqsRoS2ktJGVVcDmhpDlyTI1AibEm+TtttIQVLV+LuJE2H0aLMUJKbz\nTRLyTEMRxFzKxnFJZgpYsWLFSVsmxsBq+vzqEDATF6TLrYgOHoT77lM7J27bBNnjw5g1SxjCwBgW\nnYjVYFLf8chgeucvEjE9Ogjv4SkBKQImq4AlnS8LU0NsagxNJmRbxrCKakRbm1gJqpuCxKXyaUJ6\nwTwFiY226/Y5xbkitmxXpN9G+abzTRLydEEOGqSWgiQpV2bkvnV3d2cRsF1AeH+W6QgVTAvVIGCm\nLkjTGDATF+Tdd8Pll2cfF4bqxqFJxKC1VazSCSYmGQUsnBTXkQvyuedEQvPBy4sjMVIuSFkFLOl8\nWZhOyIHrWtcYVtkd5doYmT53ExJkQrxN+9zIkTBjhn4+Lpeqb0A+dcufO1ekQ9BNQWJKfl0TwCTk\n7YIEeeIdN3d3dgoPi5rr+g/APGAmMBR4HXCrygXCqAYBq7IL8vhxoeJkxXGFEY7pMlHAouerrIIM\n3goduCB37RLbdbWeVhyJ6aeAxcVxqShgpsbQZEIeNcosH1eV38jTtpKSgWsVyrRs3XxcNtxQpipU\nVYmvaT4u1+7fqrogQe651+vx91hvK6njwBXAT4GNwHcBzViTqhAwk0B62y7IrG2ToujtFZKOijGM\ndrCsDpJGDMLnq7ggg0ncJO5Nc2LZubOxCXeBLpWRI8Xhhw83voiL45JdBQluDXFQvq4xrHIMWtpW\nUrJlV1WFmjpVXEMnBYmtPueq7Sb5uMrQdpfjrWouSFUPUTBvx91jvXt3B7AAmAt8SvXkMKpBwFzm\nATN1QQbH6+7cPmuW8Mc99VR6GWkELOhgKkH4uvJwGJoTSz8CpvtGrzipTJgQUcGixlTFBTltmnAB\n6hhDGy4B1zFo69erv6wEcO2OqqoSE6Qg0SHervucadvHjhUxeDopSFy33bTPLVwIO3bAkSN651fN\nBakTIy1jHx2gOgTMVR4wGy5I0N84NBrHlXV8FGFjqKKABfdt2DD9ga05sZwgYEn5uGSgMaFnBuKr\nuCBNjKFpTAi4VSNM83G5JkGmxlA3H5dLJcaWC9K16uuq7S6VT9MUJC5dkC0tIszl2Wflrxuehzs7\nRexdWhxXlofIEzDNIPxaLVsdcb0KsrdX+LdUHrLqxqFpHWzcOBg/XhgFFQUsuG8LFoiAbh2YuiBB\nf2LTmNAzA/FVFLC482Xh+o3ctTF2GRNjSn4D17WOMXT53G0QoM5OOHBAKPaqqHrbTVKQVD3+LglZ\nO8cEz3zePPUQncCOycRxpc3bNraSMoDMXZ8O/BrYAKwHrkw47lrE3khrgDOka6DrggxWrWS5OVy7\nII8fh9NO01fAIHtiySIGwfmqMWDB4NilmY/L1AUZrrtO2YqTSqwCFh7YKgpYcL6rN/KZM09OQaKC\nZomJKch1HVu+rhvQFfG10W6TFCQ2VF9d4m2j7W1tYvGLTj6uMow3ly5I1bqr2se0efuUU6C93Wwr\nKQPI3PVjwPuAJcBZwF/Tf++jCxEBafOAdwFflK6BrgtS5dxo58pi5mGYuiB7ewWJyYrjip5jSwEL\nn6+yCjK4b0FQs04+LlMXZLjuqrDhgpw2TSygCOK4ilLAbEzIJsbQtQJn2v62NrHXm04+LpckyMZz\n183HZcsNVUXV12bbqzreXLogVesetXdZxFtWoHAAmaf+KLC68fshxJLLqZFjLga+3vj9XmAc0C5V\nA10XpOy5rl2Qx48LH3dWHFf0nGgHSwtqlu1gOi7I8PmqsOGCNImjMnVBRuO4VFZBgvxWUlHYeiMd\nqDExUGi/iS3bFQkZOVIvBYktN5TLPhekIFHNx9UMbTdNQeJqFWRrq1wcVxg2FTCZ83OE6l2fiXAv\n3hv5Pm5/pA6pK+qqWLLnmrogw28HugrY4MFmO7ePGwenniriuJKOl1XAVF2QYCbtK04shw8Lb2db\nW+OLRYuEPKwSpBmUbeqCBLVVpFGMGgUdHerG0LUaYcMgzZsHu3cX6ro+CQNdiVEt35YRLjBmsx+C\n7WlUU5C4fuGx0fYpU8R1dFddu1DAgna3tJgJFFlxXFn20cb+tZpQeeqjge8BVyGUsCiiT1COirtw\nQRYdhG9j49C087OIQRDHdeCAugsyq+w0aEwsjzwiOMuJxz1sGMyZo76vog0XJPRPZKvigoyeLwtb\nb+QFEud+0HVdm24LE8AlCZo6VYxJVWPoUomxZYSXLdMLarZJglSVT9cvPDbaruPKC+A6DxjI1z3Y\n4zdc37FjYdKk5DiuirsgAYYA3we+CdwS8//o/kgdje9OQniPpRUrVogvq+CCNA3CVyVgcR0m7fys\nDjZ4sFgev2aNWhqK8OBYt05d3taYWE5yPwYoiMT0c0FGy1ZVwKLny8KmGqGTj8slETDdFsak7KB8\nV8bQpQpl65nrpiBxSYJstV03BUkzEMA4ZCUu13nJT0qqmka8s+btuXPFy5LuVlIGkLnrLcCXEWn3\nP5twzK3AWxq/nwU8BfR7/QsTsO7ubvFlFVyQpgrY4MFCJpU1hrYVsOD8lSvVE7GCeLsYOlSoaCrQ\nmFisETBbLshwHJeOAqZjDG1NyOPGCVapYwyrrsTEbSUlW75r8umibJtGWEeFcq3+2ShbNx9XMyje\ncZB1QYJ8n0mydSYChelWUgaQeernAG8CXgasanwuAC5vfABuBx4EtgI3AH8lXQNXLkhZVcBGEP6g\nQSKGKy2OK4wkBSypg8oQg64uWL1aTwELzi/gzdIqAdNwQfZTwMJxXEUpYDZdAlVzydhqe9xWUjKw\n6YpzRQRmzhQrrlVSkNg0wmVQ/1TUepurAF22vcouSNl8XEm2zoZA4cANKXPX724cdzoiAP8MxF5I\nNzQ+Aa5ApKI4DVgpXYO8XZAm+0jCyZ1k8GD15d2q+zoG50Q7zPz5IkDqmWf6Hy/bwfbs0YsBC84v\nYGJx7YLsp4BB36SuugoSxFZSqvm4bKsRrkiQTj6uZmu7CmyRIJ0UJLZJv6u2t7WJlaAqKUhc9zlb\nbTdJQeIyDxjIbyWVhwKWdX6OqEYmfBMXpM2tiGbMkFOwwlDdODR6ToAgjisuqFmGGHR1iZ86LkiV\nuoeh8WYZS8Ci+bhkoDGpjBwpqnxiQ+4AsqtI49Da2ud+lkWzqBE6W0k1ixoRuK5VjKFLEuSahLhu\nu60+5zL+buRIYaPuv1/tPJdbEanamKQ5eO5cePTR+DguWfvoCVgCTF2QtvKA6QQ1hx++SqChiswq\nQwwmTRIZf4t0QdpSwGS2m4grW3FSaWnJCMTXcUGGz5dFs6gROuW7JgK22j5qlHo+Lpdtt/nMg3xc\nKilIXLbd9nhTzcfVLPF3Uai4IEHuuSXNwWlxXDLztslWUgaoBgEzdUHa2oooiOPasUPuXFDfuR3U\nZVZZYtDVpe+C1MnHZSsIHwqbVBNTUaxbp6eABee7IiE6W0l5NcJO+arG0CXxtdnuIAWJK9VX9bnb\nHG9Tp4rrqaj1zaL6RqHiggR5BUx1Y22ZeXviRBg9Wm8rKQNUg4CVxQUJZtsmpMVxhZGHAhacr5OI\nFfTycSlO6k8/LYofNy7mnwWRmFgCNmuW2Erq8ceLUcBsGiOdfFzNokZMmyZcgDm7rhPhsu2qar1t\nN5RrFcrVeIvuniFbfjOovlEU6YKEZOKtIlAU7IasBgFLekNobS3WBQnqDyncYdLiuMLIUsCiMqls\nB7vkEnjJS5L/n+aChNzfLAP1K3YuKEhNiHVBBnFcmzfrKWCqxtC2S6BKKpRNY6RrDJvB/aqaj6sM\nfc5W+ar5uMrQdpcKWFlckGlxXAHSbJ0NgcITsBi4zANmGgsV7TAmMuukSWJfyWg+LtkOdu658OY3\nJ/8/TQGTrXsYihNLovsRRFDzpk3y+yradEGCaLvOKkgQkt748fILOGy7BFyqEYsWCRIg67r2Soyd\nslXLt93ndIi3rbYHKUhk83E103jr7BQ7nuzfL39OWVyQgwZlu65lFDBdgcITsAS43IrI1AWpunFo\n3DlhxJ2vSwyiSIsBSyo7DYoTSyoBGz1auJS2bJG7mE0XJMitIk2Dyr2zGRMCblUoVdd1GdQIW+XP\nnKmWgsRl2/Mif7JBzXm0XVb5dE36bfY5nRQkZXFBQva9SyNTbW1i8Us0jkvWPjrYE7IaBMz1VkTh\nsmXjuAJEH77MQ1aVWXVX50WR5YLMObYhlYAF5edMYmJdkEHZoOeCDM53pUaoGsNmUmJ0XhpstV3V\nGLpUoWwToLY2GDFCPh+Xy+duu+2q+bhcE8CyuCAhu+4y+zpGx5ush2jhQrHA7siR7GPj8WfABqAX\nWC5zQjUImG0X5IgR8gQq2klk47gCJLkg04yhigJWr4s62iZgcfeto0PEVezbJ3c9my5IKMSQJypg\ny5aJn7r3WcUY2p6QJ00SSpRsPq5mUmLCW0nJlt8sbXdJfIPyZcmnbdXXZdtHjlRLQWJ7vLlUvMNQ\ndUFCdp/JUrNMBIpgKynV3TP6sA54DXCX7AnVIWA2XZCLFsnHB8R1EpUOHiVT7e3xcVxhZClg4Q7a\n2yvqZ2PyynJBqgY123RBQiHGLHY7IhBxXHPmCIlbEQ8/DJ+8rYs9P13Ll78sEYufxxupqkumWdSI\n8FZSMrBNglyqUPPmwe7dcilI8nBDVUX5HMhtB/vkN4COCzIrH1cWmUoK0ZH1XJjFgW0GFBL/VYWA\npbkgs6yZ6Wo+01iopI21s1h+UodZtAi2bu0LatbNTRWHLBck5DqxWHdBakxqidsRAaxaJVJSKOCh\nh+BFL4JDU+fTdmwX37zhGV79apHYPxF5qREDWYlxRYJkyw4Mjs37rpKCJC/S76rPTZ0q5l6ZFCTN\n1vZly+T2VQyXXxYXZNZWUjIuSJMQnYID8atBwGy7IOfPFw9Yxg0Z93ag8pCSNtbO8nMndZjhw2H2\nbOFWAXvxX5DtgoTcJpZ6XTySjo6Ug4J8XE89JVe2TRckwJgxSteq1eC1r4UPfAA+9ZnBDF6ykJ9/\ndgMtLfDOd2ac6PKN3LZBUtlKynXb84jDkklBklcgtGzbm434Bmq9q7a7VD5VU5C4CsLXsTFZ9i4u\nBYmCSLEC6LnlFnp6eujp6Yk75OcIV2P0c5FUARFUh4DZdEEOGSIfx5WmgMkENScpYLorPaLn21oB\nCdkuyGjZWVCYWPbvFy74VI7T2ipiemRcaTbzgGniO98R4/6972180dXF4I1ruekmuO8++Na3Ek4s\nwxt5HsZQ5rmVoe02jdG4caJTZRnDvAKhVUiIbSO8cKFot0w+LpcEsNlIf1B+TqEi0tBRwCD93mWR\nqSCOKxxipGAju9/0JnoOHqTnYx9LImDnActiPrdJFRBBOQhYrZZOZmyvggSzwRnEce3enX1+3MO3\nsdIjTMCKdEGq5ONSmFh27hT7yGZCxaWjMamMGiVuQb8NuRVRr0NPD3zqU6Hb2Kj7yJHwzW/C+96X\nQPbymJBVtpLKIyZkoKoRIGcM83ID5TxeUhHk45IJas6DBMk+9zzaPnOmUOplUpA0IwEEvRgwMFPA\n4s5X8RJNmSL6g8ruGfGQeqDuCVhLi/ikSfS2XZBg/kYu28HjCFI0jisKFQWsaBekSj4uhYllxw4x\nZ2UiZ0Pe0pISiK+Au+8WL2Pd3aEvQ3Vfvhxe9zq4+uqYk/OYkFXycTWbGjFrlnw+LldtzysQWlat\nb0YC6JL0q6QgaTbVN0AeLkgZNStKvFVEChXXdX+8BtgJnAX8GLgj6wT3BAzI3FLItgsSzAen7Plx\nBCkaxxVFWRSwpEkhhzdLJQKWowsS7Lghv/Y1uOyySBUixvDjH4f/+R/BxU9CM7qjXKoRra1iKymZ\nzaFdqRF5EaC2NjHfZKUgycsIyz73PNofpCDJyseVN/nNQrPF3wXQdUGmbSUlY+9MFLC48+VxMzAd\nGAFMBi7IOkHmrn8F2IsINItDN3AAWNX4xL3Tp0OXKZvsI6nyZmjiwlTdWBuyO0w4H1deCljahJzD\nxCJNwIK3yqygZoNJJTUQXwLPPgvf/z688Y2Rf0yaJGSxRgqS8ePhiivgE5+IHNeMaoRsPq5mbLss\nAcuDBMiW34ykf9Qosaw6S6133efyaPvcubBnj3wKkrLkAQMxRyZtJSXrglyzps+2q4oUBa6ElLnr\nXwXOzzjmTuCMxidqTrKh6yueMCHbV5t0bnu7eChZcVymLsisjbXjkCWztrT0EZG8FLC0CVnFmElO\nLNu3S2Z4OPVU8dmxI/04g0nFlIDdfbd4iZsyJeafkXv33vfCj34UsRHNqEbIuq6bcTXgvHmCdKcZ\nw7wIELhV4FwSX9nyXfe5PNoepCBxpfqCvl2H5HsnY++mThXXDrhBcQqYMmSe+m+ArOAJs6dnslpC\nJrjVRMlJ6iRZcVwBkjpMmjFUkVmLXgUZlC3rBrStgAXl5zipmrog77gDLrww4Z+Ruo8bB1deGVHB\nmlGNkC2/Gdsuk48rLwIEcsQ7r2c+bZpwAeq+KJvCZZ9TSUHSjORX165Dct1lyFR01bWqjVy8WG0r\nKQPYuOt14GxgDXA7sFj5CnkE62WdK3t+UicZPlxINklxXAGSHr6tlR4uXJCzZwuJ6MCB9OtJTur1\neoKUQ1gAACAASURBVA4EzKEL8vbb4YIk739M3a+6Cn7841AsWF4TckeHeGHI2krKtRrh0hi6anuz\nuiBlU5C4JP159TnZfFwuFe88EgAH0LXrkNxnZD0+JnHSI0eKJfn33y9/jiZs9LqViMCz04DPA7ck\nHRgkN+vp6WHFihV9/zBdrpoWx6Ujc4ZhSuCSCNL06WLTz8ce6/8/VQWsaBdkENScNalKTupBXtVx\n4yTrmfOkarIKcvdu8bL/vOclHBAzKY4dC+9+N3zmM40v8pqQVYyhSzUij7aPGyeC7rZvTz8uTwKY\n1vY8XZCLFgkSkKbW56nAlV35bFby67rtebkgZQQH00wBKnnUDGDjqR8EgqxJdwBDgPFxB4YJWHd4\nfX7WlkJJnUQmjiutg8lK8yYELIkgpRlDmQ6zdKlIKfDss8UrYGCVBAXql/Q8UIALUlcBu+ceOPvs\nlGYn5OO68kqxInL3bsoRD9RsaoRK+S7anme7ZVKQ5EV8we1znzkzOwVJGcZbngRMJ8emDZi4IJO2\nkpIlU6aZAv7yL0Ugb86wcefb6YsBO7Px+36lK5hKlbpvlosXZ8dxmcaQZW2srRtoOHq06KSbNxef\nhgKsGjMl9yOIraQeeSR9KylHLsjf/hbOOSflgIQUJG1t8OY3wzXX4J6E5DUpy2wl1exqRJIxzLPd\n4fKT4LrP5dV+mXxcruPv8iK/bW0wYkTyvoqQb9uHDk3fBSFtrCXl45IlU0uW9MVx6Shgf/IncMYZ\naudoQObO3wTcAyxAJBl7O3B54wNwKSJFxWrgs8DrlWthIlVmdfC0c2XiuHT81GGkdRgbMuvKlcUm\nYg2XbcmYKROwwYNhwYLcgppNXJCBApaKhHv3/vfDV74CzxxyTELympRlXNfNqkZMmiSUqEYKkn7I\ns93gNgZNJgWJy+fumvTnTX6zyGdebZ8/Pz2OSuclX5ZMjRwpwnweeMBumI5lyDz1NwBTgaGIWK+v\nADc0PgDXA0uB0xHB+L9XroWMAqarQpm60tI6yfTpYs+auDiuADoKmIrMumqVvc4VToibdd9k8nFJ\nTizbtysSMJBTPgt2QR45IuK8n//8jAMT6j5jBlx8Mdz56xyNkcxWUi4NUrOqEZDe9jzbnVU25EuA\nRo0SC0AeeCD5GJfPPc+2z5sn4grSUpC4HG9lJr4mClj4fJuZAiwjxxGvgMGD05d8msRhySg5um8I\nMkHNaQ9/6VKRbC5qDFVWeqxaZVcBq9XEPcu6bzL5uBRckFI5wMLI0ZDruiBXrxZhAyNHZhyYUvcP\nfhDuWlHjWG9OQ1MmH1eZJ2UTzJ8vFKg017UrV1wzuyBly29G0i+TgsT1eMur7KQ4rgA6XhYVd2Ie\nmQIsoxwEbNYsEZichLTBGcRxPfdc8rkmrjRTV1wamQriuKJ70agoYE88Ya9zBe2s1eQGpqU3S2UX\nJOQqrY8aJR7BkSNq561eLRk2kNJnFi2CObPrbNzUpMbYpRoxeLBgyFmuaxdEIG8X5LRpYo5MMoZ5\nE0CXzz0rBUkzk1+XxDdrX8WsdofjuAKoKGBBn6u4CzJ/mJCgrDiuPF2QMuerbKwdQLbDzJ4t5Bab\nnStwB8sMTAsTi3IOsGjZSUHNBhO67obcq1bB6adLHBjeSioGrzivxh9Xtya+UxjD5aQsYwyb1RXn\n0gWZpdaXIQYtr/LHjRNxBUkpSMrQ9rzG28KFIgVJUjB83m1PI95Z7R45sr/rWsWd6BUwSeRJgrI6\nWFYcV1ZMiIkClnS+bIcJgpptdq6AgMkMTAsTy5NPimKkc4AFyEpBYjih67ghpRWwDGPY2VFj3LgW\nvvUttfKl4VKNyHJdN7MakZCC5ES5ebYbyh+D5uq5l6HteaYgmTs3OQWJy/GmY2NUyNTMmWLF9WOP\neQUsFXkG0mcNrqw3w6zzk+K4AmR1mDhjqMry81LAZAaH4Yo2LfUrXH5OMTWq2xEdPy48W11dkidk\nTEzPP7OVf/mX7L3mtVDmeKBmViPS8nHl3W4wUyNMMWtWej4ul32uKBKSloJkII43WRsTPl/FnRik\nIFm92itgqVi8WAQFJ/lcTOKwTF1pWeePHi12XY7GcQVQVcCCIHjZQdHVZV8BC2LAsu7b/Pkix8zh\nw/H/lxhg27dDZ6dmXXOcWFQVsPvvF2E2Y8ZInpDR56Z3tnLKKXDzzfJ1kMbs2YJdJm0lNRDUiBxc\n10rlR5F3u9PKhvzbHaj1SZtDl12JMUFbmwiVeeSR+P+7jL/Lu98FKUjiFtnJ2ubwS77OxtobN3oF\nLBUycVx5uSDzPj9LzYruqxgcLzsgL7oI3vhGuWNloOKCHDIkPR+XxADbtk0o5FrI0ZCrxoBt2CDs\nizQyJsWW1hZ6euDqq3PYEzYrH1czqxGTJokEkUn5uPJue9JzL8IFmZaPq9kJoEvSn1W+67bn2e9G\njRJhPnGrrnVsq2pAfVeXT0MhhaROIrNZaFocl+lqPh2ZNIwsxj5okJgYgzdD1Q42cyb8xV/IH58F\nFRckGE8sW7aIVDlayNkFqaKAbdokQnykEWwlFWcMG/ftgguEqnbjjQrXlUUZXDJxKMIVV8a2F9Hu\ntBQkzR6DNm+eIN1x+bjyVnyhHKpvHFyON5k+F91KSkcBA0/AMpE2MWU9pJaW5O0mZB5yWhyXqQtT\nZWNtcL9iQ2UVJBhPLFu3GihgixYlbyVVsAtSmYAlpSCBE/etpQX+9V/hH/4Bnn5a4doycDkpp20l\nNVDViCIIUFr5zU580/JxFdHnXMbfTZsmZPS4FCQux5tM2UEcV2DbVdWsZcvET++CzIBpbITJxDJm\nTHIcl6xMmuTOkSFU4bq7zlmi4oIE40l1yxYDApbmui7YBalMwEDKGJ9xBrziFfDP/6x4bd2yg/Lz\nnJTT8nE1uxLT0SFeGKIpSIogQOA2Bi0tBUnZlZi8yob825620Mxl23VsjKp9HDtWBBl7BSwDprER\neRE4mfNnzxbuz7igZlUFzLW/WtcFGRfUnDHADh8WKtP06Qb1zWlSVXFB9vYKIrlwoWIhkhPTpz4l\n3JCrVytePw1pW0lVYVI2gUs1IskYFkGAwC0JGTcOxo+Pz8flUoUqos8tWiTycSWlIHFFPqtAfE09\nRMuXS2xPYgWfATYBa4AfAGOzTigPAZsxQ7gkolbPVImR9e+bvCFE47jCkOkwYWNYNRdkWj6ujIll\n2zYhYBk1N6eJRcUFuWOHiO0eNUqxEEnSP3UqfPrTcNllyQuFlZGWj8v1pFyEMUzKx+Wq7QPBBZlW\nvkvSX0SfS0tB0uxtj8ZxBShCAQP4+tfFJrv542fAEuA04AHgw1knlIeAmb4ZBkHN0cRJRbgw086X\n6TDjxwup9KGHqueChPQ3y5SJZetWgwD8AGnEuSACtmmThvoFSsborW8V3qt/+ieNcnTKd6lG5G2M\nhg8XqnUOrmspxN33ogjQrFmwf79IUBlGUQqcSxUqSa0fCOTXJfGNxnGFy5Zpd9h1rSNQjBlTlE39\nORC4FO4FOrJOKA8BA7M3wzFjYPLk/nFcrl2Ysi7FsmyboOqCBO17ZxT/JVO2wcSiQsC2bhVx5cqI\npiAJEDMht7TADTeIzy9+oVFWHMqgRsQZw4GoxBTV7qQUJEUQX3BL+idNEkpUNAVJGdS/vMtPSkFS\nVNvjiLfsWBs7VsSEPPige4FCHm8Hbs86qPwETDUpqe75SXFcJgROJalqcL7rDqbqggRt960VBSwp\nBYnhxDJqlLgNSTlmw9BeyZlkDBMm5GnT4KabRNq3jRs1yovC5Rt5e7vIIxd1XQ8ENWLJkv4pSIpq\nN7glgGVcBeq67UWQ31Gj+u+rCG7brmPbc46RXrFiBT09PSc+Mfg5sC7mc1HomI8AzwHfziqv/ATM\nVImRPT8pjku2k8QFNevs3F4WBcyU+ELmNYxSUATIKahZZUPurVtFeIcWFFXf7m74t3+DV75SZN83\nQtrClypMyrbLhmLaHpePq6h2g5kaYYr584UCFU1B4vK5uyb9LsdbVYhvQR6i7u7uLAJ2HrAs5nNb\n4/+XARcCUtnRZVr/FWAvguUl4VpgCyL6X2Y74ngE+bjCcVwqbwemHcykk4wfD6ecIuK4Aqh0lior\nYElbSUm4II0VMEg25IYTi6wb0ohIapCQN71J5Abr7oa77tIsF/rycUVlvqpMyrbLDsp30fai2h1X\nNhRHgJJSkAwE0j9tmpgjo/m4iupzccS7SBfkhg0nCxQ6ttm1fUzH+cDfAJcAR2VOkLnzX21cOAkX\nAnOBecC7gC/KFByLuDguUwXMVMkxIXAqnWXBAnj4YTh4sHoKWFI+rpR7d+SI8BoapaAIkJMhlyFg\nx46J7TC1NxRPUiMy6v62t8HXvgZ//ufwkY/E5zTNRNJWUgNBjejogKNH3eXjij73Il2Qcfm4XBPA\ngUD6k9R61+OtiLLjUpCo2uZ169x7iNLxeWA0wk25CvhC1gkyrf8NkLCFPQAXA19v/H4vMA5ol7hu\nPOLeDGUHZlwcl0oHM31DiNZdpbMExnDt2nIQMNWBqUh+raSgSCvbwoQuQ8AeekikiRg2TLOQOGMo\nqd698pWwapWY02bNgo9+ND6rRCrKpkIVZYzKlo+rSBdkXAoS1zFoRbU/LgVJ0eS3TOPN5XNXaXew\nldSBA2VWwOYBnQgv4BnAX2WdYKMl04Cdob8fQSy/jNn3QALBQ/qzPxN/qwzMQYOEO2z9ejjnHPGd\nSgcLx3EFZaoqcDff3Pe3asBgV5ewqFVzQUK8QYHEa1iJ/woQ3koquHcWJnQZAmbcjnAKklmzxHcK\nfW7KFPj2t0U9rrkGzjpLxNuefbZ4H5k+Xfw9YoQQKqOX7RzWxfDb1rI5tGD6/zxb465ftXDslP7l\nJeXbjUPWsa3PLeKVD2zlpzc/S+9gwWAn31ujY18rf7hN7bpp3yeha3QXz3xrLdsO/smJ787aU2f7\n71vY29v/+KArh7u07Hfh+tXrMPLxLs66dy2/uFV8N25TjaUHWrnrluS2tLT0v3b4Z9L/6vW+T/D3\nC9q7ePjGtex54WzqdTh9e539Q1rZ8YOTj41DtF1xbU/7u+1QF/N/dSu//WHf/y+u17n1thZaWrPP\njyLcruyfw/iTtjn84fpNPD37dAA6V9YZ/0gra2/rKyN6P1taxNgJfgaf8N9Jv7e2CgFo6lQY3NUF\nv/3tyQ0oigTNmiVycT31lKhQcFOKVj5f8xrxt0q7g62k1qyBN7whvzoWDFuWPnoXY4dvOKitu7ub\n7u7u/gd1dcF//Vff37pKTEDAVDrYhAl9cVxhY6jigvyHf+j7W2fn9ptvLocCpjowu7rguuv6/s64\nb9biv0AENQdbSQUJuQpyQT74oCA6Rgj6rE6fa2DuXLj+evEINmyA++4Tytg994gQryNHhMctaliX\nP9HF67f/iH8/0vfd2UfrfOE/WnlmaHxZcVVLqm76scNZMnQ2d1yzme2nnEZLC5y9p8ZLd7XwpS+p\nXzft+zict6uLhevu4Wv7+76bvrPGL37Vyh9jvLLhn6rfRUlRK7P57/1P8K0vHODI0LEs2l9j0r4W\nvvrVeAIXJVDRn0nfRUlE8PeRp7o49oO1fHf9q2lpgfdsqbF5fyu/3NP/2Lj7EPd32v/Cf499tovr\nH1jLl29sVLBe52LgP29skTo//HcaIU36OaHexdpvrmXFjNOp1+G8HTXmPdnKl74UT1bDn2Bhe62W\n/Hv0u95ewXv27oWLJ3fxmUNf5MfXwatfLTzhhZGg8Krrc88V3xXtev7v/+77W8fGfO1rZXZBKsMG\nAdsFhCN5Ohrf9UPCqoKTYRobYRrcGrglAmOo0kkWLBDk7fBhsfWBzs7tPT1ikLiCLRdkxn3bvBle\n8AKDeiaVHyZgFlyQcYmrw3j4YYP4rwBB3S+5RPxtMCG3tIjuI92F9nbB4rX89Cchaza2xvdvbpXY\nSMMC3tDF5y9cC28+Tfz9vTp8p5XbvldA2b9fBn/9H/zJLaHvzq/xvKta4IK8C2+Fs5by3avXwYtf\nDHfX4UOt/PCHeZfbwHe64Hvf443Bfb6sxstf2sIVbyui8EkweSi3fnGXYCC9NRjaym23ZZ9pBZ9a\nxkueWMt7/7Xx9w01+GMLr/xSvsUeOwZbVy9h+os3s/J/j/Oxjw1m4UK47Yka42gtJiVBMNcEBKyo\n/G9B2Vdf3fe3jo2BMrsglWHjmd8KvKXx+1nAU+i6H0Gs59+3D55+Wvytw5LDcR1FErggjitI0qSj\ngD3zTDkUMNX7Fs3HlXHfNmywzDNziKlpa5OLAZsxw6gYtyvi4raSqkpciCmC3TPC+bhcuGSg2HZH\ny4Zi2x0tv8j+Fi0bCmv7kCGw6AWjGTxjGl/58Bb27IEPfAD27q7xute38LOf5V4Ft+MtiOM6dKiv\nbFXbDE2lgMnc+ZuAe4AFiFivtwOXNz4gsr0+CGwFbkAi8CwV0Xxcqh0kiOMKa8imSo4ugVNVwNrb\nhdUvAwFTvW8tLSdvN5EyuOp1wVGXLLFQ3wBxxLsAF+TDD+dEwAaAQQLcrgYcPVoE5uiuujaFSxIS\npCAJls8WTQDDz90l+QNn5HfoUBEOtXBhnSvf18o73ylWN0d3icqj7BMost8FcVzBqmsd2xxcp0kg\n0/o3AFOBoQhX41cQROuG0DFXIFJRnAasNK6VycQ0YYJIZxHk4zJ1pZmcr6qABSuzyhKErzophdue\nMrh27hS279RTDeuaVDYUtgrSCgGbP1/clCAf10AySGVSYsCd+ld0u6P5uFyS/qIJUEeHWAUZpCBx\n/MLTUqtx7ktaWb9erKZ+0Yv676hnDdFV166VT5Wy29qESDHAFLDiYToxmRC4cByXzvlRAqbaWbq6\nyqGA6UxKYRUqZXBt2GBZ/YL+KUgKWAV57JgIrJ061aiY/vm4yuCOKsogTZ/elxQOytH2ItW/YNV1\n0e0GtwTQpfoXTUFSEtI/Zgz8x3/Ae98rwgJ/85scyo7m43KpfOo890svFQltmwTlJ2A5KjGxiMZx\n6bow63W9pHHLlpWDgOVIfNevz4GAmbquYzBhgiBgSUvyd+/u29LQGC4NUpwbsKhJOWoMXbtfi2x7\nOB9XkaQ3QNQYFmmIw/m4iiZAUOr4u8svh298A1772v4ZK6yX73K86Tz3665zu0jNMspJwMJxXLpK\njC0Cp3p+e7uo7549etsm/Omfwsc/rnaOTQwaJIijzn0LbyWVMrhyUcDA+sQyfDgMHdoXMxqFFfdj\nAJdqxOLFwucRbCVVtUnZVtngru2uFbCi2z18uFCtN2923/aiye+sWbB/f1+wV0z7zzsPvvlNESP2\nv/9ruXzX8Xcmtr3JUE4CFo7jMlVidAaXycQUvNHrbhw6diy88IVq59hER4dgFjqDI7yVVNEuSMjF\nkE+c2Ocdi8IqAXOpRkS3knLtjiqy7Nmzhcxp0XWthOC5uzBGYbXepQrlsu1QfJ8L5+MKyo9p/yte\nAV/+sshOE95i2Bgu2z5pknir3bXLTZ8rGcrbepM3w3Acl875pm8I1dg4NB7hSVlncITPj5lUajWx\n8n/xYgt1TSo7KMgSAUuKA8tFAXP1ZlgWl0zRbY8zhi7a7sIYBf7z3bvdqlAu2r5kSV8KEhfjTdLG\nXHQR/O3fwsUXa+73GgeX4y1cvos+VzKUt/Umb0dDhoiVZRs3mrkwA2OoS8DKvXFoPEwHR8b5Dz0k\n4kCDnTCsIhrUbGFiySJgnZ3GRQgEq3v27HEfE1O0Sya8lZTrtg8kF2S0/IFkiEePFsHcW7aUo8+l\nlH/VVbB8OVx2mfp2W7GYP18oUM88M/CUz5KhvAQseEOwocSonj95cl8cl8lqQJ1VkK4RGMNjx/QG\nR8bgsp6ANYzx4/u2krLogixEAQu7rl2rEUF9ikI4H5dr9a9ogxTk4zp0yI0xcqlCuTbEZRhvkNn+\nlhaxOnLbNk5s0WWEcAoS13ONV8BKipyVmFSEV2bpdJLFi+GBB8Ty+qq5IIM4ri1bciG+ucV/Rcuv\nmgsSBq4aES7fxaTsMv4uWHW9fr17Bazo8js6xAale/e6abvL+LtwPi6JPj9sGHz722Inn6zt0aQw\nkOeaEqG8rQ/HcekqMYE7ylTJUe0kI0aIDQI3bKieAgai7atX6w2O2bNFgsMnn3RPwApwQeZCwFyQ\nkGArqX37Bp4aETaGrgyS7nizUXZKzGauCF5016xx3/aiyw+nIJHs8wsXwic/CW94Q9+CZW24bHuQ\nguTIEe+CdF2BRAwdKuR53TfDYGDbUNB0CdyqVdVTwEDUff16vXYH+bjWro09f80aYe9yg4lyGYMk\nAvbUU6KIsTY3rHZJQlwbQ5dqxPjx4kFadF0rISBgLozRokXC9XvkiLvn7qrtrpUYDfL7zneKd6V/\n+RdLZbto+7BhYs/nzZu9Aua6AqkwmZiCOK6nny4+hiw4f+XKaipgy5aJBIm6gyPBkB89KjybuROw\nAlyQgfpl1W4sXixu0LPPujNIZVBiBporrqtLxIG5aHeQj2vjRnd9zhXpnz0bnnhCqPUVIYAtLfCF\nL8DnPmfoiixD/N3hw56Aua5AKkwGZ/BGryutB3FcR4/qE7BNm6qrgIH+wEx4buvWCVFz+HDD+qUh\ncF0/80yuLkjr7kfoy8e1caM7EuJKjQjycSW4rnOHS1dcMN5cGaOuLrHgyGWfc1F2kIJk7Vr3pF+h\nz02fDj098K539W3pqIwgH9fOne6UT/AuSNcVSIXp4DSZ2II4rk2b9F2QVVwFCUIeHjHC7L7HGPKV\nK8Vy6lxhOai5UAIG4t5t3uxmYlq2zJ0akeG6zh0uFbD2dmEQXRmjwBi6eO5Ll7qLO4TKqr7vfrfI\n2mK0KtJ126HZFLB/BNYAq4FfAtOzTih367u6RLCNiRIDZkRC9+1oxgyREqGKBGzQIDEx6t63Zcti\nXSqFEDCwquQ4IWC9ve6Moe7qVxsoQ0C2S5eMy/sObto9erR44XPZ9scfd9P2cAoSxfYPGgQ33ggf\n/ahI6aWF4IXLVX+HZiNgnwZOA04HbgE+lnVCuVs/ebKwgKYKmAmB040ha2kRHbyKLkgQbde9bxMm\niCSHkfv2xz8WSMAsuVQmTBBesajUv2uXaKJ1uFQjxowRmWVdqhGuCOD8+cId88wz7lwyrgmYy/Jd\n9jlw0/YgH9eBA1rtX7JEbNz9//6fZvkuX3g6OkQ27uZyQR4M/T4aSFg/34dyE7Agjku3gyxeLFxp\nuiqUqZ+6q6uaChjAFVeIjcF1EZlUjxwR3twzzrBQN5mywcrEMniw4CXBvrkB9uwRuUOtw6UaEZTv\n0hC7iMGCPtf1jh1u2v+iF4m0BC4wfbpYBeryubsq2+ULj4Xy/+7vxGbdv/iFxsldXdrkzxgtLfDP\n/yzUz+bCJ4GHgbcC/5x1sOxTPx/YDGwB/jbm/93AAWBV43O15HWzYfJ2NGIEbN8ugg11ywb9wfm8\n58GoUXrnusbpp/e1XweRSXXlyj4+nDssk5g4N+SePTBlipXLn4zAde2NYfFwSX4vvRSuv774ckG0\n97zzhNzrAi773KmnCgJaUQVu5EixIvKKK8TiaSUsWiQEAlf3/vLLxVxXLfwcWBfzuajx/48AM4Cv\nAddkXUzGPzYIuA54ObALuA+4FYgugr0TuFjiempYtgzuvVf//PZ2/XM7O4X8oTs43/pWkTVvIKKr\nC26++cSfv/89nHVWQWW3t5u5riMICNj8+X3f5UbATFVfU7h0B40fL1wTrgmYi/Jdu2L+53/clX3m\nmWYve6ZwPd7A6PlfdJEIxr/mGvjQhxROHD5cqL7NFYdlhBUrVrBixYq0Q86TvNS3gduzDpIhYGcC\nW4Edjb+/A1xCfwKWzwzyspeJtAIuYGoMBw+ubgyYKV7wAmhrO/Hn738Pr351QWVbJjFRBezIEREq\nNH68lcv3x3/+pyAiLnDaaW77rEsC6FqBG6jo6IAf/MBd+RdddNJcVSgskP6WFrj2WsFj/+IvFBcH\ndXWJVEseAHR3d9Pd3X3i749//OMqp89DeAlBcKRVWSfIPPVpwM7Q3480vgujDpyNWIJ5O7BY4rpy\nmDUL1G6CXbzjHcIoeahh3jy4+25AhPX87ncFKmAgiPvkyVYuFSVgjz7al+c3FyxcKFaHucDcuXDX\nXW7KBuH61g0ZMIXr+DsPN7j8crN4VxO0t8Ob32wcqjJ7NrznPfC+9yme6FL9az58CuGOXI0Iy3p/\n1gkyr7p1iWNWInJeHAYuQCzBnB89qKen58TvUaZZWlx2mesaVB4PPihI2OzZBRZ6tb0wxIkT4bHH\n+v7Ozf1YFixY4K7sD33IILukIdrbxcqKXDMFe3hE8F//ZeUyH/ygyCTzk5/A+edLnnTBBZb3UxvQ\nuFT1BBkCtouTE4pNR6hgYYSXX94BfAEYD+wPHxQmYB4DBytWQHd3dYWFAUfAXGLMGHdlt7SIBL6u\nViN6eBhgxAjhinzPe8SuI1LvEaefLj4eTiCjPf4B4ducCQwFXocIwg+jnb4YsDMbv+/HwwO48054\n6Utd10IfURekJ2BNDE++PCqM//t/RX6wf/1X1zXxkIEMATsOXAH8FNgIfBcRgH954wNCegt8n58F\nXm+9ph6VRL0uFDBPwDw8PDzyx2c/Kz47driuiUcWZJc73dH4hHFD6PfrGx8Pj5PwwAMipGd+v4jA\n6iCOgJ19trv6eHh4eCRh5kwRjH/VVfDDH7qujUca/PIHj1xxxx0izrOq8V/gFTAPD49q4QMfEDuP\n/OhHrmvikQZPwDxyhdKKnJIijoDlsg2Rh4eHhwUMGwaf/zxceaXIW+hRThSpS9TrdZmMFh7NgsOH\nxcr+Rx6p9krnWk2kpjpyRGwZOGkSrF1rLc2Yh4eHRy649FKRmsInINBDi3Dd5MaTvALmkRt+8hOR\nfLXK5AtEnsLx4+GJJ+DYMXjySXeJsz08PDxkcc01cN11sG2b65p4xMETMI/c8L3viTewZsCkF1Ay\nJwAABuNJREFUSSIX2N69gnwNGuS6Rh4eHh7pmD4d/uZvRG4w74AqHzwB88gFR4/C7bcXuP9jzmhr\ng337fAC+h4dHtfC+94ntlG+6yXVNPKLwBMwjF9x6Kzz/+SIGrBkQKGCegHl4eFQJQ4fCN74B730v\nPPyw69p4hOEJmEcu+PKX4e1vd10Le/AKmIeHR1WxfLlQwt76VndbrXr0hydgHtbx8MPwhz/Aa17j\nuib24BUwDw+PKuODH4TeXvjkJ13XxCOAJ2Ae1vH5z8Nb3iI2h20WTJrkFTAPD4/qYtAg+M534IYb\nRIJsD/fwBMzDKg4cgK98RcQbNBPa2oQCtnu3J2AeHh7VxNSp8N3vwmWXwdatrmvj4QmYh1Vcey1c\neCF0drquiV0ECtj998OcOa5r4+Hh4aGHc86Bf/xHsUXco4+6rs3Ahuxm3B4emdi7Fz73ObjvPtc1\nsY+2NtiyRWTDX7zYdW08PDw89PGud4n5+hWvgDvvhFNPdV2jgQmvgHlYw/vfD297G8ya5bom9hEo\nYM97nk/C6uHhUX1cfTW8/OVw3nmCjHkUD0/APKzg+9+He++Fj3/cdU3ywbhxgni98IWua+Lh4eFh\njpYW+Ld/g1e9Cl70IhFe4VEsZAjY+cBmYAvwtwnHXNv4/xrgDDtV86gK1q6Fv/xL+Na3YORI17XJ\nB62twg3pCZiHh0ezoKVFbNT90Y/CueeKhK1+yyJjvB+oAeOzDswiYIOA6xAkbDHwBmBR5JgLgbnA\nPOBdwBcVK+tRAaxYsSL2+9Wr4fzzxYavZ55ZbJ2KxpVXQne361qoI+nZeVQD/vlVF1V5dm97G/zs\nZ/DpT8NrX+s37zbAdOA84CGZg7MI2JnAVmAHcAz4DnBJ5JiLga83fr8XGAc0yQY0HgGiE0lvL3zx\niyJ+4Npr4XWvc1OvIvHhD1czWLUqRsAjHv75VRdVenanny4WUJ1+ulD63/lO8YLtFTEl/DvwQdmD\nswjYNGBn6O9HGt9lHdMhWwGP6qC3V7gb//3fYelSsbnrXXfBpZe6rpmHh4eHhymGD4e//3t44AGR\nM+zVr4Zly+BDH4LbboNdu/xWRim4BMF/1sqekJWGQpb7tsicd955klfLKixaWgmu1cx1OnoU1q+H\na64Rm2ufe65Qv176Urvt9vDw8PBwj/HjxYKqj30M7rkHfvEL4elYuxYOHoRp02DMGBg1SsT9trb2\nKWVhxSxv9SwP+9PSItrz7nfH/vvnwOSY7z8CfBh4RfhSmWVl/P8soAcRA0ajgBrwL6Fj/gNYgXBP\nggjYfykQXdi6FfApLD08PDw8PDyqgG2IGPcsLAV+CRxu/N0B7EKEce3TLXxwowIzgaHAauKD8G9v\n/H4W8Hvdwjw8PDw8PDw8Ko7tSKyClMEFwP0IBevDje8ub3wCXNf4/xpguY1CPTw8PDw8PDwqiAex\nRMA8PDw8PDw8PDxKDp+4tbrIenYLgd8BRxHJ5jzKhazn90bEmFsL/BboKq5qHhLIen6XIJ7fKuCP\nwP8prmoeGZCxewAvAI4Df1pEpTykkfX8uoEDiLG3Cri6sJopYBDCFTkTGEJ2zNgL8TFjZYHMs2sD\nng98Ak/AygaZ5/ciYGzj9/PxY69MkHl+o0K/L2sc7+EeMs8uOO5XwI+A1xZVOY9MyDy/buBW2wXb\n3gvSJ26tLmSe3WPAHxr/9ygXZJ7f7xBvcSDGns/XVx7IPL9nQr+PBh4vpGYeWZB5dgDvAb6HmEc9\nygPZ52c96YVtAuYTt1YXMs/Oo7xQfX7/H31KtId7yD6/VwObgDuAKwuol0c2ZO3eJfRt1efzy5cH\nMs+vDpyNCAG4HbE1ozGyErGqwmriVo9C4Z9BtaHy/F4GvB04J6e6eKhD9vnd0vicC3wDWJBbjTxk\nIfPsPgt8qHFsCzmoKR7akHl+KxH7PB5GZIa4BZhvWrBtArYLUckA0xFsMu2YIGGZh1vIPDuP8kL2\n+XUB/4mIAXuygHp5yEF1/P0GMX9PAJ7IsV4e2ZB5ds+jL1n5RIQRP0YOcUUeypB5fgdDv98BfAGR\nZmJ/vlVTg0/cWl3IPLsAPfgg/LJB5vnNQMQ6nFVozTxkIPP85tCnnCxvHO/hHipzJ8BX8asgywSZ\n59dO39g7ExEvVkr4xK3VRdazm4zwlR9AqCcPI4KBPcqBrOd3I0ItCZZS/2/RFfRIRdbz+yCwHvHs\nfoNIaeBRDsjYvQCegJUPWc/vrxFjbzVwD/4l1sPDw8PDw8PDw8PDw8PDw8PDw8PDw8PDw8PDw8PD\nw8PDw8PDw8PDw8PDw8PDw8PDw8PDw8PDw8PDw8PDw8PDw8PDw8PDw8PDw8PDw8PDw8PDw8PDQw7/\nP69mkjx2oporAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from scipy.signal import remez\n", " \n", "freqs = [0, 0.1, 0.2, 0.4, 0.45, 0.5]\n", "gains = [0, 1, 0]\n", "\n", "taps = remez(72, freqs, gains, type='bandpass')\n", "\n", "frq, resp = freqz(taps)\n", "plot(frq/(2*pi), abs(resp))\n", "twinx()\n", "plot(frq/(2*pi), angle(resp), 'r')" ] }, { "cell_type": "code", "execution_count": 218, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 218, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAmAAAAEGCAYAAADCLikKAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\ngg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from scipy.signal import remez\n", " \n", "freqs = [0, 0.1, 0.3, 0.4, 0.45, 0.5]\n", "gains = [0, 1, 0]\n", "\n", "taps = remez(100, freqs, gains, type='bandpass')\n", "\n", "frq, resp = freqz(taps)\n", "plot(frq/(2*pi), abs(resp))\n", "twinx()\n", "plot(frq/(2*pi), angle(resp), 'r')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# All-pass filters" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Many ways of doing them. One is:\n", "\n", "$$y(n) = -gx(n) + x(n-D) + gy(y-D)$$" ] }, { "cell_type": "code", "execution_count": 219, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 219, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAlYAAAEGCAYAAACnw9t1AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from scipy.signal import freqz\n", "g = 0.9\n", "b = [-g, 0,0, 1]\n", "a = [1, 0,0,-g]\n", "frq, resp = freqz(b,a)\n", "plot(frq, abs(resp))" ] }, { "cell_type": "code", "execution_count": 220, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 220, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAmMAAAEPCAYAAAAOFsPBAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nJEmSJEmSJEmSJEmSJEmSJEmSJElSov1/qlrQI/+00NsAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot(frq, angle(resp))\n", "xlabel('freq')\n", "ylabel('angle')" ] }, { "cell_type": "code", "execution_count": 221, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 221, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAmIAAAEACAYAAAAQghoqAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJztvXmUXVd15/95NUkqlVSaVZpsyZIHCYyxIbaZTCUBx4Ys\nCB2GkGZlIAMkP1Z3Ok0gISRI6U6akNX5hSmB/gUCIQkmDAbTxgQIKeNgYmw8YCyXbEkeNEuluUoq\nlarq/f7YdXmvXt3hnHvPHd/+rFVL9V69+97V+969z9777HsOKIqiKIqiKIqiKIqiKIqiKIqiKIqi\nKIqiKIqiKIqiKIqiKIqiKIqiKIqiKIqiKIqiKEpubAD+DXgM+BHwXwJe9yHgSeAR4NpsTk1RFEVR\nFKXaDADPn/m9D9gFbG15zauAr838fgPwH9mcmqIoiqIoSnvxZeCnW577GPCmpsfDwOrMzkhRFEVR\nFKWgdDh8r43ItON9Lc+vA/Y1Pd4PrHf4uYqiKIqiKKXEVSDWB3wB+K/AqM/fay2P644+V1EURVEU\npbR0OXiPbuCLwD8gU5OtHECa+j3Wzzw3i82bN9f37Nnj4HQURVEURVFSZw+wJembJK2I1YBPADuB\nvwp4zR3AL838fiNwCjjS+qI9e/ZQr9ed/7zznXWuucb9++pP4+d973tfKu87OloH6tx+e/7/xyr/\npKXfHXeIfhcu5P9/rPJPGvpNT9d5wQvq/M7v5P//q/JPWra3e7fY3p49+f8fq/wDbE4YQwHJA7GX\nAG8BfhJ4aObnVuBtMz8gd0zuBXYDHwd+O+FnGjM1BR/8IDzyCDz5ZFafqrjiS1+Sfz/0oXzPQ4nH\nBz4g/95+e77nodjz+OPwgx/AJz4Bk5N5n41iy4c/LP/+zd/kex6KGUmnJv8ds2DuHQk/JxbDw3Dp\npXDddfD978Pll+dxFkpcHngA3vMeCcSmp6HD5a0lSqpMTcHDD4t+990Hb3pT9DFKcXjgAdHsgQdg\n92646qq8z0ix4YEH4A//EL7znbzPRDGh0kPbgw/CC14Az30uPPpo3mdTXQYHB1N53x/8AH76p2HJ\nEnjmmVQ+QiEd/XbtgoEBeOlL1fbSJg39fvAD9Z1ZkIZ2U1MyC/RLvwQ/+hHU9da4wlPpQGx4GLZt\ng6uvVmeSJmkFYsPD8Jzn6GCQNmno59meapc+aen3nOeo70ybNLTbvx/6++GKK6CrCw4edP4RimMq\nHYg9+6xMTW7ZAk89lffZKDaMjcnPqlWi3969eZ+RYoNne+vXw6lTcO5c3mek2KC+s7x42oH6zrJQ\n6UDsmWfkgtywQbIEpTzs2weXXAK1mupXRjzbq9UkGDswZ8EapajU6zKYX3KJ2l4Z8WwPVL+yUOlA\nzHMmixeLczl9Ou8zUkzxtAMZyNWZlItW/fbtC3+9UhxOnIB582DRItWujKjvLB+VDcSmpmRufN26\nRlauF2R5ePZZyeZAs7oy0qyf2l65aNZu3TrRThu+y4PaXvmobCB2/Lg0LM6bJ481sysXhw/D2rXy\nu2pXPlS/8tKs3cKF0NsLIyP5npNijtpe+ahsIHb0qDR6e6xZIxeoUg6OHoWVK+V3TzvNystBve6v\nn1IOmrUD1a9sNI99ql05aJtAbOVKOHYsv/NR7GjWb/586OmBs2fzPSfFjDNnpBK9YIE8VtsrF+o7\ny02zfqpdOWibQGzVKr0gy4QOBuVFba/cqO2Vm2b91PbKQWUDsWPH5jqTo0fzOx/FDr/BXPUrB2p7\n5aZVP7W98jA+DhcuyEoBILuSjI3Jc0pxqWwg5jorv+02+LVf0w1ws8JlVl6vw3/+z/CFL7g5NyUc\n17b34IPw2tdqMJAVritif/In8Kd/mvy8lGi8ILpWk8e1mugX92aLkyfhVa8SG1TSo7KB2LFjsGJF\n43FSZ/KXfwmf/KRspqqky/S0rGW0fHnjuST6PfYY/NM/wY4dbs5PCafV9laskLuYp6fjvd/f/R3c\ncQd8/vNuzk8Jx6XvvHAB3vc+eO97pTKjpEurdpBMvzvugLvugo98JPm5KcFUNhA7eRKWLm08TjI9\ncuoUPP44vP3tcPfdbs5PCebsWbllvqur8VwS/e66C37zN2XF6ePH3ZyjEkyr7XV3Q1+fPB+Hr38d\n3vlOtb2scOk7v/tduPFGePGL4Xvfc3N+SjCt2kFy36m2lz6VDcROnZL5cY9ly+IPBMPDcNVVcNNN\ncP/9bs5PCebkydnaQTL9du6EF74QrrtOS+xZ0Gp7EF+/8XFZB+lXf1VtLyv8fOepU/Hea+dOuOYa\nCcZ0NiF9XNoeiH6/8AtSUTtxIvn5Kf5UOhBrzgwWL4bRUVlx35Zdu+DKK2HzZt0ANwtatQNxLnEH\nA08/3cA4G1zqt3s3bNok2h08CBcvujlHxR9vK7jmwXzJkvgDudpetri0velpsT8d+9Kn0oFYszPp\n6JBgLM5+k8PDcjFedpnuZJ8Fflnd0qXJBwPVLxtc6ufZXk8PDAzoKuFpMzYma8B1dzeeW7o0eRKk\ntpcNLm3v2WelmtbXp/qlTWUDMb/prbiZwVNPSUawfLlU1OIGBIoZfs4krnZnzkjD8KpVUllRZ5I+\nadge6GCQBUHaxfV5nn5qe9ng0vb27m3YnuqXLpUMxOp1t5nBgQONzcM3boSnn3ZxlkoQfg2nLrTb\ntEm1y4I0bA/U9rLAb2qrv18SGtu7Xuv1hn6XXirVzLh3zipmpGV76jvTxUUg9kngCPBowN8HgdPA\nQzM/73XwmaGcPy933HkbfnvEzQyaL8iBAThyJPk5KsG4rIipdtnjsk9F9csWP9vr6pLNv8+csX8v\n747ZefNg0SK9azltXNrewYNqe1nhIhD7O+CWiNfcDVw78/M/HXxmKH7lWYhXYq/X5YL0drMfGNBN\nVNPGZVbXrN3q1bp5eBa4nN5S28uWIN8Zp0+sWTtQ/bLATz8XFTHPdyrp4CIQuweIkrnm4HOM8RvI\nIZ4zOXFCNi/u7ZXHq1drZpA2flOT/f1yo4VtENXsTBYskA3E4zYeK2YEBdJJK2Jqe+njV1GBeIF0\ns3ag+mWBziaUkyx6xOrAi4FHgK8B29L+QJfO5NAhzeqyxs+ZdHdLIHX2rN17teqng0G6jI/LvwsW\nzH4+bjX60CFYs0Yeq+2lj8skVn1n9viNfXErYs36aUUsXbIIxB4ENgDXAB8Gvpz2B7osr4+MzN4y\nQgfy9AkaDOJkdn76qUNJD5e2NzraCMBBbS8Lwto61HcWH5d3TTbr19cnidHoaPJzVObSFf2SxDTX\nMO4C/hpYBsxZp3f79u0//n1wcJDBwcFYHxg2kB88aPdeIyOz9zxUZ5I+QRVNL7O75BLz91L9siXM\n9myzctUue06d8revOFUV1S97wqYm6/XGZuAmNOtXqzX06+tzd75lY2hoiKGhIefvm0Ugtho4ikxR\nXo/0i/lultAciCXBZXn9+PHZziTJdhGKGS6zctUvW9K0vSVLGrtjdHYmO0/Fn1On4HnPm/t8XNu7\n9NLG42XLYM+eZOenBHPhguw84fUze/T0yM/YmHkQNTUld8k2J8TqO+cWiHbs2OHkfV0EYp8FXg6s\nAPYB7wO8dZk/Drwe+C1gEjgH/IKDzwzFr9kb4mXlx4/PLq8nWeFdMSNsMFf9io1r22sOxDo6ZAmE\n06dlUFDcEza1rLZXbLyZBL+ql/fdmwZiJ0/KTjTNCY/qlx4uArE3R/z9ozM/mXHqVKPBt5m4WXnz\neyXZ81AxI+xmCxdVFdUvPaL6+2ymR1oH8ub30UAsHcJs78kn7d5LbS9bgmwPGt/9hg1m7xVme4p7\nKrmyvss+lVZn0t8vd+7pCtHpMDkpd975ZW62GdmFC/KzaFH891DsCLK9+fMluz53zvy9Wm0PVL+0\ncV2NbtZPtUuXsEDM9rtX28uWSgZiru+abL4gOzslSIizebgSzalTUhL3q5rYZmTHj0vlpPm91Jmk\nS5Dtgb39tdqe9x6qX3q4vmtSA7HsCLM9W/3U9rKlkoHYmTMymLfiokcs7vsoZgRpB/Gyulbt4i4s\nqpgRpp+t3fhl5Wp76RKkn63t1ev+U5OqXXq49p0aiGVHJQOxs2dnT0d5eOsReYtOmhB0Qepgng5B\n2oE4cptKpA7k2ZO2fmp76VGvB+tnq93oqNypN3/+7PeIs3m4YkYWvlNtLx3aKhADyRhsNq/VzCBb\nVLtyo/qVl/Fx2eC7u3vu31xo57V12G4erpihtlde2i4Q8/YsNGFqSl7rt5u9XpDp4Eo7CO5z0Kwu\nPVzrp20B2ZG27YHqlyZp254GYunRdoGYTWZw8qRcwK2LR+oFmR6uszq/gfz0aZ0eSQvNystLmHZ9\nfTLdaGo3frYHql+aqO2Vl8IGYkeOSEXKlrA+B7DLDPwuRtCqShTeZs1xcJnV+enX1RVv8/B24tQp\nu2UmmklbP7W9aNKwvc5OWLjQfK9B9Z3xmJiQalQc0rY97RFLj0IGYpOTMDAAv/7r9seePy89Dn59\nDmCXGQQ5Ey2vh3PnnbB2LTzwgP2xaWd1oINBFIODsHGjBNS2uNJvfFwGpdb3UtsLZ98+sb1Pfcr+\n2DDtQPRLmsSqfuH88R/DypXxgjGtiJWXQgZi//qvMhDcfrv9FFKUM7HJDE6c8F/BWy/IcD75Sdi0\nCT73OftjXWZ1qp89R47AM89INXr3bvvjXennbZXUup6cahfOZz4jvvPv/97+WBPfaTqYq+3F47Of\nFf2+9S37Y9P2nc27YyhuKWQg9oMfwOtfLxH544/bHWuS1Zk6E5cbGLcTDz4Iv//78L3v2R8bpt+8\neRKYX7hg9l5B27XoYBDMww/DtdfCK17hXj9b2wvSTm0vmB/8AN71Lrj/fplZsMFlRUx9pz0jI/L9\nvv3t+doe+Ntfd7e0dZhOTyvmFDIQ27kTnvMcuP56++mt0VF3FTGX2320C6OjcPQovPGNEpC5rGjW\nanZZ+alT8vpWtNchmCS2V6+H25+t7flpp7YXzs6d8NKXyv64u3bZHeuyIqa+056dO2HbNrjhhnht\nHa5sb2JCfnp75/5Np5bToZCB2GOPyWCwZQvs3Wt3rMuK2OnT7vasbBcefxyuvFK+o0WL4PBhu+Oz\n0E8Hg2CS2N7587KIZ1eX/99d2Z5Oj/gzMQFPPQVXXJGe7zQdzNV32uMlQXG0A3cVMU87v23m1Hem\nQyEDsb17YfNmuOwycSw2uOwR06zcHk87UP3KiKffpk3F1K6nR350emQuzz4rlbB588T2XAdiLqrR\nanvBeLa3dq18R7Z3Lofpt2iR/N1khiJIO1D90qJwgdjoqGR2S5fKYFDErM67qJW5HDgA69fL73nq\nNz0NY2P+e6+pfsEcOADr1jUCMZvKUxa2B6pfEJ52kE4grb4zXTz9Ojrg0kvh6aftjo9afqS31yyB\nUdvLnsIFYt7FWKull5UnzeoWL9aLMYi0BwNT/c6ckXWPOnyucHUm/tTrDf0WLZLv78gR8+OzsD1Q\n+wuiKLYH6jvjkEQ/rz+zry/4Nab6hdme+s50KGwgBlJmP3rUbmHXLLK6hQulH0ZXZ59Ls37r1sHB\ng3bHR91sYaqfZnX2eE7aqyKuXWunn1bE8qUotgdaEYtDEv3OnZMp6aD+TFDfWWQKHYj19MgFYbO4\nXRZZXUeHeZm33di/f3YgHadZ31VWF+RMNCv3p7kaDfb6RdneggWSVJksPxKmnw4G/rQmsbYr7Luy\nvXo92Heqdv7U68l8Z5R2oL6zyBQuEDt0SDJxD1uHksVaOKAOJYhm/QYG4g0GLvTT8ro9adterWZ+\n95bqZ0+zfqtXy2yCTdXele2NjUl1xm93E9XOn9On5fvygilb3xmlHdhVxNT2ssVFIPZJ4AjwaMhr\nPgQ8CTwCXBv2ZiMjssWDx8CA26zcpiIWdUHaLJDXLjTrZ5vVuexziCqvq3ZzSdv2QPVLk2b95s2T\n7+n4cfPjXflOHcjtabU919VocFMRU9tLBxeB2N8Bt4T8/VXAFuBy4DeBvwl7s5ERWLGi8dh1Vm57\nG69WxMyZmJBeBc8JewO56Z13LvsctKJiT9q2B6pfmrTq57qqYqNdkN9cuFD2EbXp+20H0tYOtCJW\nZFwEYvcAYSuLvAb49Mzv9wFLgNVBL/a7IF1mBl1d0qsyNhb+PuPjEqzNn+//d70g5+JtFOv1GM2f\nL9+16bozWVZUVLu5pG17oPqlSdr6uaiI1WoSjGl/7WyKZHtagMieLHrE1gH7mh7vB9YHvbj1glyx\nwm15Hcwyg7DVhUEvSD9atQM7/bSiki9FsT1Q/Wyp19PXz0VFDHR6y48i2Z5WxLInZBLIKa3hjO9k\n1fbt29m1C267DS5eHGRwcJDly2XrB1NcZQZhFyPoBemHXyC2fLk4lMsvjz7edUVlYMD/b6qdPyMj\n8OIXNx572ply9qxszxKGq4rYs8+an1c7MDoqd5k3V/Bt9KvXZZbAVX+m+k47Wn3n4sWyRNLEhOga\nhanvNFkkVitiwQwNDTE0NOT8fbMIxA4AG5oer595bg7bt2/ngx+EHTtg2TJ5btmyfDKDqKxOb+Od\ny7FjcwMxG/1cV1Suusr/b729soTC5GR4P1q70apfXrY3OSn9gkFBgdreXJLa3tiYBHGdncGvWbAA\nLl6UH787Ij3Ud9rTql+tJrvLnDgRnFA247oipoGYP4ODUiDy2LFjh5P3zWJq8g7gl2Z+vxE4hdxl\nOYepKRG5+SKIk5W7WE9Fszp7jh9vBNAeNvq5roiF9an09WmfSiut+nnamd5s4cr2zpyRQcNvVwRQ\n2/MjyPZOnDA73sT2vOVHTNo61HfaUSTfqW0B2eMiEPsscC9wJdIL9lbgbTM/AF8D9gK7gY8Dvx30\nRmfOiCNvdsBxArEsKmJ6Qc7l9GnJ4ppx7Uxc9qmofrNpzYR7e2XwNd18WG0vP7KwPTBbB071s6dI\nvlMrYtnjYmLmzQaveYfJG/kZsE1WNz0dPqXhYZIZhGUFIBekzYr/7YBfJuw6K/emNer14BspwEw/\ndSizCbO/hQujj4/aIgdEk6j+LtXOHr/vLI1ArL/fLJC+5JLgv6t+cwnSz9R3mtpe1LhXrzcq0n6o\ndulQqJX1/QbyZctk+QOT6ZFz56L7HMDurskg9M6fuWQxGHR1yVpjUcuPmEyPqH4NghxwHlm52p49\nQUlQHhUxE/10MJ9NFvqZ2N7oqIyhQb2zzX2CijsKH4h1d4v4JiVVm6xOe8Tck9VgYKqfDgbmBG1L\n4/pmC7W9dMjS9rRHzD1Z6OfCb3r9taqfWwofiIH5BWmT1ZmU19WZ2OFnxGll5aqfW5LaHrjtEVPt\n7AiyPZdtAWDeI6b62ZGF73Rhe6D6pUGhArGgJk/XgZhWVNKhKBWx8XH5N2hXBFD9Wklqey77M9X2\n7PEbQJcske9pcjL6eNcVMdXPjizaOnp7ZV2ysGnFqGomqH5pUKhArEgVMS2v25NVw3CUflF3bXnv\nofo1SGp7Y2PSQhC05ISHC9ubP1+WupmYiD6vdsHvO+voEDsw2WLMdY+Y+k5zLlyQ63nBgtnPu/ad\n3vIjYfqp78yHtgzEXNw1qRfjXIJutrBxJlEVFYjWT7M6e8pke96Aovo1CNLP1P5sbC/p9JZqNxtP\nu9a7wNV3tg+lCMRsnInLipiW1+3w+876+qQU7k0XhuFKP3Um9mRpe2fOhN8FHWV7oPq1EvSdpTGb\nEDaQT07K1jxhQYFqN5uk2oH6zrJTqEAsKJMybTrVuybzY2pKpqdav/9aLXv9TMrrqt9ssrK97m7Z\nOy9skVgdDOzJ0neGDeRRuyKAatdKUu1M+zNBfWdRKVQglmVWl7S83tMjWX2cPpWnn5bApUp4pXE/\nB5y1fiYDedwtjs6fh4MH7Y8rOlnZHpj1+KWl36FD5jsFlIks+2ujBnIT7eIM5FNTZptWl40o7aLW\n0BwdlUb8qP5MyNd3njhh1q/YjhQuEPO7CJYuddtwGpUV1OvyXlF9KnEyg+Fh2LQJ/sf/sDuu6IRl\nUlnrl2ZF5b3vhXXrqjcgZGV7YKZfGln5xYuwdi38p/9kd1wZCPrO0rC9qIHcRLs4A/nnPie+86tf\ntT+2yAR9Z/PmycKqUYmDa9tLy3feequ0OlStCOGCQgViQdmUa2eycKH0LAXdxhu1urBHnMzgjjvg\n6qvl3yoRZsCu9XNx12Qc7ep1+MpXRL+vf93u2KKTle1Bfln5PffAVVfBd79brapYvZ5dIB1VETPV\nLs5A7tle1XxnWBXRRD/X1eg0fOfx440ixEMP2R3bDhQqEMvKmUTddWVSXod4mcG//zv84R/CE09U\na5uWpIHY1JRM+5nsaZhXVnf4sFwbv/u78J3v2B1bdKJsL2p6xGVWntaikvfcA697nQzm3/++3bFF\n5tw56b1r3RUBsq+ImWoXpyJ2zz3wZ3/WPrYH7gOxvHzn974HN9wAr3413H233bHtQOECsaDy+qlT\n0ce7ygxMyusQLzMYHpaBYPNm2L3b7tgiE+VMovQbHZUgrMh9Drt2SUVl61Z48km7Y4tO0DXv7d16\n/nz48a4rYmlk5cPDot1VV1VLv6yr0UmnlefNk7srbfYrPHNG3vsVr4BnnjFbpLYsJPWdZahG79pV\nTdtzReECMb+LwPWihBCeGZhcjGCfGUxMwLPPShC2ZUv1ArEgB2yi3+io24pKGj1Gw8PiSLZsEWdi\nshF9WQi75k30c2V7JrsiQDz9vEC63WzPJIk1tT9vIA+69k18p9dfazOY79oFV1wh18XAgPjRqpDU\nd7quRqftO6tke64oVCA2MSF3f7RiOj1iM5iHZQYmFyPYZwZ798KGDZIRVu2CLFKfQ1pZ3RNPwJVX\nSsNprWa+j18ZSKpf0W2vXhf9rrgCLr9cba8VU/vr6ZEp0KAKqY1+NoO5Z3ugvrMVV7YH6fvOqtme\nKwoViPmtLgyy9UOt5nZ6JI+K2DPPwMaN8vtll0lgVhWK1OeQVo+Rp1+tpvq1UnTbO35cgoj+ftWu\nlakpqUSa9GdCeJ+YjX42g7n6zmDK5DsvuUSW/7GZlm4HChWILV4c/LcsqyqmzsQ2MzhwQJY+AFiz\nRtY0qgpnzwbrl0dFLCorX7BAKrA2vSYHDsD69fK76jf3eLW9fEiqndef6ZcE++FKP5vBXPULP96F\n7ZnsigD2tjc9LXqtXSsrESxfDkePmh/fDhQqEAu7mFw3LYZlBqblddvMYP/+2QP54cPmxxadsO/e\npE/FRru+PnEYQevRmPap2DqU/furORh46+YFOeCq2d6qVVIhq8p6RlG253IgB3f62dpelZOgrHxn\nmHYmuyKAve0dOybv6/V9Vm3sc0GhArGwSNy1Q9Gs3C2jo+EDuUvtvGbfsMHAtX6Tk5LFrVkjjwcG\nquNMLlyQOyN7evz/XjXb6+qSPr+qZOVhtrdggQTaYXu92gZiRaiIVcX2IFvfGdWfmYbtNQfRIL6z\nSmOfC1wEYrcAw8CTwLt9/j4InAYemvl5b9AbhQViURfk5KQMKH7N/n7k0afSXFFZtUoyhapk5Umd\niZeNmRKkn8muCB42+h05IiV1b62mKgXSYdqBe/3ytj2o1mAepl+tFq2fK9uD9HrEmvWr2kCepe+M\n0i6NanRzEA3Vsj1XJA3EOoGPIMHYNuDNwFaf190NXDvz8z+D3izJYOBlBS76HNK6c+vw4UZFpadH\nPsNkH7gykHUgFqSf6a4IYKdfs3ZQrYpY1oFY3rYHql8zrmwP0rlrcmoKRkZg9Wp5XLWBPEvfGbb8\niGkQ3dsrRQ/TIsKhQ9W1PVckDcSuB3YDTwMXgduA1/q8zig8StIj5rLPIa2s/NgxqYR5rFollZYq\nEDU94t2ZFYQr/UzL62CnX6t2q1dXS7ui9Geq7dkTFYhFTS3n5TtNA+kTJ+T/4CVXnnZVWccvzP5c\n94j19Mj36OeLTX1nrSY3d5jqV2Xf6Yqkgdg6YF/T4/0zzzVTB14MPAJ8Damc+VKUrC6NPpV6XXpS\nVq5sPLdsWXV2ow9zBt70SJhDcaWfaXkd7PQ7enS2MzFdn6kMFKkillaPWKt+7WJ7UFzfaRpIt2rn\nVbyrsF/oxITcVRjUn5nlbIL6zvwwmMAJxSQneRDYAJwDbgW+DFzh98KHH97O9u3y++DgIIODgz/+\n25Il4aspu+xzSOPOrbNnpb+ouYetShek6WA+MOD/d1f6mQ4EYKdfaxBdJe3C7piE6IrKhQuSaMyb\nZ/Z5edw1WeXBwMT2XCZB/f3+PVrj43IdRO2KAKLf/v1mn9eqHTT0M137rKh42gW11KTZX9vqi9P0\nnTfe2HhcZtsbGhpiaGjI+fsmDcQOIEGWxwakKtZMs1x3AX8NLAPmrEt+yy3b+aM/8v+gpUvhkUeC\nT+TMmXzu/ImbFUC5L8hWXPSpuNDPZmrSRVZXr5v3JRaVrHuM+vqkmjE1JXdrNmPTp+ItYdL6Hn74\n6VeVPe+S6hfnrsnh4bnPe9qZ2EOSihg0/k/Nd+OVkSjtensbN6IFJTpl9Z1lpLVAtGPHDifvm3Rq\n8gHgcmAj0AO8Cbij5TWrafSIXT/zu+/mMEmyurBF8fzI+u6R1nlykP9TVbbJSZqVu9LPpryeRL8q\nTY9krV1HR/BAbKpfR4dUQ8bGol974YJUa5oHmXazvSzumrS1vbg9RlAd/aK0M2nrKJvvXLasGtq5\nJGkgNgm8A/gXYCfwOeBx4G0zPwCvBx4FHgb+CviFoDcrQp+D6erCYJ8VNE9tQbkzg2ampmSwW7Ag\n+DVR01uu9Eszq/PTrwoOxaRZ32U1E7LV79gxWLFidqWmKrYHyZv187K9uG0BUB39TPaJDNOvXi9H\nRayqbR2uSDo1CTLdeFfLcx9v+v2jMz+RZOlMvKygdWrJu6hNyus2WcGJE5IJNLNsGezaZX7ORSWq\nzwHSycr97ryx7XMwXY/ITz/v/7Rhg/8xZSFqIF+4UJqKJyb8m4pttYNse/yCbK8qg4FJs/6PfhR+\nfB79mTZ3TXobfntURb8o24Nw33nunExZeusbmpCl7dXrc+2vSm0drijNyvqu+xzmzZOLoPU23uPH\nZeFOExa99WPtAAAgAElEQVQuFEOYno5+7cmT8n9opiqZQVJnAu5W97bRzyara2f9arXwRMh2IIds\n9auydlCc/kxb7UyT2Crrl9R32vpNyNb2xsYkSGzub5s3rzptHa6oTCDmKisfGZFpDBM6OqSZ0qRP\nJciZVGVqK2kg5qpP5fhxc/1sKpp++lUlK4+6axLC9YszNemn38SEJEam14GpflW2PXDTrO/C9mx8\np01FrMr6ubA9V9XoNHynn3agfWKtlCYQ6+trTI/4EeeC9MsMbLIC77zaPSs3CcTCFiacnpbsyKQv\nzyMoqxsZcZ/V1euqX1jDsEvbW7bMfLrChe2VfVHQ6WnpaQ3b2i2rHjGtiNmT1He6sj1Ix3cGBWJV\n0c8VhQrEwrJqb3ok6IKMU6L1ywxsA7GkWXkVLsakFbHRURlIOiyuxrCszlQ/U+3OnZNSeuvt41XS\nL8p2oqZHXGTlWdqe11djUs0uMufOyU0yYbbjempy0aLG8iPN2NqetgW4sT0X4169no7v1EDMjEIF\nYiaZgcsSrV9mYFNeh2SZgU5tCa6zOlP9TLU7cSLYmVShvG6albucmszb9qAa9mdqe66XH1m4cO5A\nbKOft/SISUXSz/6qoB0kT2Jd+c7RUUk2w+58b0YrYm4pVSCWxVx5Wlm5nzOpyvRI0qzOdZ9DVlmd\nDgZCGW0PqjEYmNjeokUyfXnxov/f89Cvs1PW4otq2Na2gPLbXusdy1Ad3+mKQgViUdtVhGV2cUq0\nfhWNNLPy1guyp0d+bPbMS4uzZ+G66+Azn7E/NmmfQxztvApNcxA7NSWZnt+g60cS7aBYg8Gdd8Km\nTcGLFIeRtKpSRtsLOoe8eOMb4b//d/vjTGyvVpPB10+/yUnpuzWthHi40i9qMB8bEx/p1xZQFO2G\nh8X2HnrI/lgT23PtO/2+O5tGfXBTESuKfn/+59C0WH4uFCoQ64pY1cx1ZrBihVyAzcRp1q/CXPm3\nviWO5GMfsz82j6yup0f6ypoDj5Mn5X2iriOPKvU5fPjD8PTT8JWv2B+bh35qew2efRY+/3n46Edl\nYWQbTLSD4P+rN5DbrufkSr+owbzo2oEkr08/DZ/+tP2xRbE9m0Z9qI7vrNfhL/4C7r4bdu7M7zwK\nFYhFkcYFOTIy+7k4F2SUM6nXJaMp8gU5NAR/8icSjNk2MJs4E6/Bd3Jy7t/iaAdz9Ys7EERNDRfd\nmVy8CPfeC+9/P3zzm/bH5zG1nJXtQfH1GxqCN7wBrr4a7r/f7tikgZgr24N0BvMw7U6dKkZbx9AQ\nfOAD5ba9LFcLgOLY3s6dUi1+29vi6eeKUgVirhuGgy7INMrr3d3+q5IXpUT70EPwkpfAli32q/2b\nlNc7OoKnR+JoB/6BmI12XV2iyfnz4a8renl9925YvRpe/nJ4/HH74/No1s/K9qD4+j30EPzET8Bz\nn2uvn4ntQfDUsivbu3BBpjht3itJRcxr6zBdAiMt6nV4+GH45V+GvXuD+/CCcFERi3PX5NjY7HO1\ntT0XFbEi2d7VV8fzna4oVSAWdEF65fyg3emDWL48eXndJCsPuhghfPPxLNmzR4KwbdvsS7Supkds\nWb589mBgm5FDssGgaNpt3SrOxGSnB496Xf7/Jv2ZLm+hd5GVJ62IFU2/stles+/0tLOZ4kxSEYNi\n6HfkiNjOqlWwbp1oaUMeK+vXatIz2ayfre9MWhErgnYw23fq1KQhQVldmLGG0ToY2K6lAmZZedj5\n2azunhbnz0t2sm6dXJDDw3bHm5TXIbjp1JV+tlkdmH3/QXfdFUE7kEz8ssvEuS1eDPv3mx87MSHV\nSr9qbTNhzfpx9POC6OappTSavcPaAoqi3549sHlz+rbnN5i7sj1b7cBsMA+yPSiGfnv2iO1BIxGy\nIWlbR16+06Yi5nejTBG0g2S255LSBWJpOpOzZ6WqZlNZS1oRW7w4/wvyqafg0kvllvJLL5XmYRuS\nZuUuB4MsK2ILF8qWPK0LW2aN50wANm600880ow7LyuPot2CBTNc3f/dpVMTC2gKKYHv1utjfZZeJ\n7T3zjN3xRbE9W+0geUWsCPrt3Rvf9sDM/jo6gtdNzMt3Ju2vLYJ20NBvYEAqdHntf9nWgdjKlXD0\naONx3KwubkUFxAjzLtE+84wMAgAbNthVVMCuTyVIP7+sKYpW/dKqiAVdX7Wa3VYtadGs3/r1dvol\nHcjHxyVTj5ra9COp/VXB9o4dk7t/+/rKbXtpVcSKPpuQxPbATSCdh+/s7pYe2/Hx8NeFzSbkbXvQ\n0K9WkxmhAwfyOY9SBWJB5fWgReOiWLZMImCvWfvYsXgDuYkzCTq/IjiTw4dhzRr5PQ9nEjZYhrFm\nDRw61HgcRz/TwaAs+tkO5qbaLV4sr22t/nkDpe3yBzBbv4kJqV4tWWJ+fNVsr79f+vtsBigb2/Ob\nWs7T9kyToDD98h7Mk9geVNt3Fr0tYHpaevwGBuRxHP1cUapAzHWPWK02+4I8cECiYhuS9ogVoUR7\n6FDjYvQCMZvbwk2diesesVZnEke/pNMjRXAohw/P1m/fPvNjTbULmh6Jqx3M1u/QIbnz02a/0SrY\nXrN2tVp6FU3XPWJr1sDBg43HcX1n2ds6Wn2nje1NTEgwENWfCeX0naOjjbtbbY/NgpMn5Rr0WpHi\nFCFcUbpAzKUzgeSBWNIesSJckM2DwcKFcmHa3Fps2jDsury+dm1yZ1L2waBen63funXpDOTgr19c\n7WC2fklsLyxpKJPtQbxAOg/bW7589mxCOydBXkXM1vbGxsT2TKrJfvqNj0sg19tr/pkezbY3Pi4J\n1sqVdu8R5TvDtFuwQJbPsF3uwyWttrdunZ3tuaRUgVh/v//0SNypSUg+GLi4a7II5fXmC3L1ailV\nm5JXw7CLrDzKmQftddd8fJ76nT4tgbPnjONoZ3r7e1AgliQJ8vSLo11PjwxiYavRF1k7yN/24k5t\n1Wpy3ocPy+O0kqCi3zXZrF9ethe3LcCzvYMH5bFNNRqiv/8w26vV8tcvqe25pFSBWEeHiOd6eiTJ\nYFCFuyaby+sgvQI2F2TShuG4g8Hy5ZJVjo9LZn7+vPu7JsPK65C/M2nVbuXKdLQDf/3iagfJq9EQ\nbX9qe0JaswlJfWfSqeU8A+l6fbZ+CxdKhcr0zrsi2d769fbvYVIRCyuQFM132tqeS1wEYrcAw8CT\nwLsDXvOhmb8/Alyb5MP85sqTXJAbN8rt4yBl5ayntvK+GEEuvuay9MqVcxfbDMJm02A/7bypDdtN\nh0GyqksukX3e9u+X6qZtdphkIPeOz1O/Vu38FkoNw2Zq0k+/JFOTSW0Pkk2P5K0dJLM9SN6fmWQ2\nwdOvXm9P33nunPzfve+/VrOzvzxt79JLxW/G1Q6q5zttbc8lSQOxTuAjSDC2DXgzsLXlNa8CtgCX\nA78J/E2SD3Q9PbJli2wRA/DEE3D55XbHu+hzSJLVTUzEP9aj1aBtnMnYmGSCcfsckpTXQfR78sl4\n2kH01HLUtZUkK5+a8l+k0YZW7ZYtk+dM1zZz0SOWl+1BsumRefOkgmG70bZH3rYHdoHYmTNzd11w\nod+RI/Jd2r6PSVtA0F13JseHUa8n188vEEorEHNte/390s5w6FA5fefFi8n3GU1qey5JGohdD+wG\nngYuArcBr215zWsAb1/6+4AlwOq4H+i6Yfjyy8WZnDkjRr9hg93xPT3RRh1WsUsyPfLEE+IAP/GJ\neMeDfw+UTYk2qTNJUs2Ehn7Dw3DVVfbH55nVvfvdsh5P0EKpJrR+f11dck2Zvmee+q1bJzY3NhZf\nv6iqStj51Wrx7W9iQmzvt3/b/tjW82sdDNLoEevslNc1t3VE9T9GkdT2krYFJPGd//zPop/tJuvN\n+F1b6jvNzy+J77zxRkkEktB6fmWemlwHNN9nsH/muajXxJiRFlxfkJddJiXaxx6DK66wb1g0aTpM\nay2jL31JpuM+97l4x4MMgl1dMH9+4znbrC5pw2ncIBoam5Tv2hXfmcTVzuT4IOp1+OIXRb9//Vf7\n48POz6bEnqd+HR1if489JiuSeyuU25CXfnffLdp9/vN2e3v6nV/rYGBbEYur3/nz4r/itAWADOSe\n7V15pf3xLrSLW1H5/OdFvy99Kd7xUG7bg2x8ZxqB2NGjEkCOjDRaG+JQpIpYV8LjTYuDrRNPvsdt\n3779x78PDg4yODg45zWtm5VCsqxuwQLZZ+qDH4RrY3aveZmdX6O4SXn9zBl5ne303NAQ/Pmfw9vf\nLqXa7m7rU/f97lauhEceMTv+7FnzVdW96ZGpKcnQgz7fhhe9CD7+cRnU3/pW++OT9BiB6BdnNeZ9\n++Qmg3e+E779bXj96+3fI+j8bByKjX7LlsmWIFGfb8OLXgR/+ZeSBNlsLebhQr84g/ndd8Ov/zrc\ndhs8+ihcc439e/idn81A7jWGmy5f4PlOb2/EpNo9//lSTfnGN+Cnfsr+eBfaxU1i774bPvQh+Ku/\ninc8ZG97Lsc9ENu7804Jara2NhQZYKLftm3Bf49re9/9LrzsZVIR/bd/g02b7N/DO7/m76+vT8am\nMJsaGhpiaGgo3geGkDQQOwA0T+ZtQCpeYa9ZP/PcHJoDsSBWrZpdPqzXk5dob75ZApovfzne8WEO\nYXRUBpigIKmnR4KS8XH7zHR4WEq0K1fKVg1xSrUu+hxMs7rOTtHp+HHREZI1CwNcdx3s3CmB2PXX\n2x8f5cyjrq240yPDw+L8rr5anGFcTpyYm82mpV+r7Xmfn0S/m2+GN74R3vveeMfnlZUPD8Mb3iD6\nDQ/HC8T8fJdtf2Zvr3kVv1W/pNr19sINN0hVKU5Ak9T24mo3MiJTyzffLElsnCQ46Pyytr04vV0e\nr3wl/NZvyfdgOkXazKJF0h8YRFTFLonv3LZNvnvbTdabadXPu9ni+PHgQKy1QLRjx474J9BE0kDs\nAaQJfyNwEHgT0rDfzB3AO5D+sRuBU0CIfOGsWiXN2R7nzskAH7e8DvCud8kdQLfcEu/4sMzAJGvx\nLkib/8O5c2IEGzc2mmbjBGJZ9jmA6Hf0aCMQS5rVdXbCvfdKZmU7rQz5ZeVeX4bXpxGXoOmRNPTz\ntGv9/CT6ve518Ld/C7feGu/4pPolGQyuuqpxs0gcxsYkEWuuBC5bJjY5PR19Pce1PY+k2gF87GPw\nH/9h31sL8v+empKgyK8PLC3tvKm45cvFf4yM2C9m6p2fn+2ZzibY6OftDdkcNCbVb/NmuP12GUPi\nkKfvfPnLRf9//Ef745vPz68IcexYvOs5CUl7xCaRIOtfgJ3A54DHgbfN/AB8DdiLNPV/HEjU3pqG\nM1m2TDKjOFMjEH5BmZxfnAvyySdliqGrSwbzuINB0vJ6EQaDF70IfuZn4h2bV0XF66vZsEG+D28Z\nD1uy1C+NQKyrC37t16RfJw5h339UW0DU8UFMTcGePWJ3rm2vu1vOyeRmiyLY3pYt8Ja3xDvW66+N\nm8TGndpq7mkri+9csEDGp+b/rwv9fu7nZIo5Dnn7ziRJUND55dUn5mIdsbuAK5ElKv7XzHMfn/nx\neMfM368BHkzyYa3O5Phx+0U8XZO0IhbHoTzzTCOT2bxZBoY4ZNlwCsXTz0VFJc5g4OnX1SVr+sRt\nOnUxPRI3EPOm1pJMbyUlTL+otgCIZ3uHDzdu/09ie0Hfnan9ld32IJnvNNniyg9XvjNL24Pi6Ze3\n79yyRbSLs4xF0B3Dea0lVqqV9WHuxdi6TUEeJK2IxSmxHzzYWIRv/frZW/3Y4Hd+fX0yXTA+Hn28\nzerQIPo19xXkrV9eWV3zSuTr1iXTL8nU5Nmz5oP54sWy5pZXvTtxYvamuXlQNdsD89aApAN53rYH\nyfTr6pIpTdtqchltD9R3gtyUdvy4bEfU1yf6+y1UHIWXpLVOiee1hEUpA7EiXYwQnhmYVAziXJDN\nzqR1z0Ub/M7PZoXoOINBkfSbP1+MO2hh1bSWP2jeVqR5uxFbspweqdVm69e6RUgeFMH2Dh2Kl5UH\nXVum+pU9CYLoiliRfWcebR2efvW66Lc69oqcyQnTzmSNujjaHT4swW7XTHd7XN8ZlgRpRcyAFStE\nPK9ac/iwiJEnLnrEbEu0foNBHLLOylsz0LwHg1otejB33ady4YJkcd4NC2vXxhsMgpxdmjdbNOun\ntifLD3R3x8vKg66tdrE9CNfP5G74pPqtXRvfd/qd3/LljZstokii36lTUtExXbokDcK0O3tWklzX\nbQGte5rG9Z1Jbc81pQvEOjrky/fWbiqCM3HRI5ZnVu53ft5WOVHYOpMNG2RvM2hkdWXWz+tTsVnU\n06skeXfFxQ2kvTttW52dqXb1upy76VpGIFU8T7+yawfJbQ/iD+Z52N6+pqW1Vb/kSWxrxa67W2zS\n5Jxs9Sub7aVdzYRkFTG/8zO1PdeULhCD4l2QLrLyqM1vWzl6tFGW7uuTUm3z9iWmBE3fLF0qf4vC\ntmG4WbvRUQlG4qxh45Ig/UzuuuvslMzPpk+lWTtwX1431W5iQr7/oC1k/FDbc6tflra3dKlo7n1f\nValo2ug3OSk2vWKFPHY9NQl2+iUJxNpNOyiO73RNKQOx5qrKvn3xdo53SdKsLuruE5P3Xb06fHE9\n0/fx8NtSww/bPhXPmdTrol3cZQtcEvT9m5TXw44PwpV2QeX1JUskKI+q0tk2C8Ns29u/X20P3Otn\nanu2A3mtJvZ34IDY34ED+Q/mWet36pTc8epVo+NqNz0t77Vkydy/2fhOG/trtb28feeCBdJmMTU1\n929ltT2tiFmwfr3sTQey5Yq3ZUde5LGOWKsT8HoTbElaorUdDBYtkirSyZPF0M47J7/v33SdHlv9\n0tauq0s0ieq/sNUOZtvenj3566e2Z/eZnn6HD8uUtG0g7pqs9WvVzrsTeGLC/D1APrO31z9JS0u/\nVtuLszerS8L6a8tqe6ZB9Pnz8WaggihlIHb55fDEE7K6/MmT7ZeVT0/L6/v7G895K3LbcvJksqwu\nzmBwxRWiXxGcCSRzJmHHB9E63elaOzDTL452nu1BMfTLoyKWtn5pVaOhPLZn0hYQdnwQre9Zq8Wb\njkpqe2Bvf5deKtNw588XXz8b27PpbS6K7X35y7IIvCtKGYht3Sp7TO3dKwu7xdnaxiVhd3+Y3vlj\nkxmcPi0XcfP/O+4FeeaMZIWtpBmIbd0q+0MWxZkE6ZdWRazVCSTRrjkYbyatQOyqq2Q164sX4emn\ni1ERy9L2wK1+edje448X3/ZM2wKS2h7E0y+p7U1MSEJt05/Z3S2aPfFEsWYT/PQzsb0468Cl7TvT\nbOsIo9SB2I9+1NiqIk+WLAm+fd3k7pE4WZ0LZ3LhgmSEfgty2gwGthfktm3l0M901fik+vX2iuHb\nLkwZ5gzSCsR6e6Wv6FvfkmkBmzsu02DhQgkK/aaW0rA9mKtf3MHg7NnkgVgc29u5U22vmTjTW0lt\nb2xMzt12s/Ft2+Cxx8R/Flk/E9uD5PrFnZoM0q+rS3xKGm0dYZQyEFu+XO56+eAHZfPPvAkyPK+8\nHlTC9ujrs+9z8Fu/5vhx8/cAudiSOBOINz3ywhfCN74B998PL3mJ3bFpEPR/TbNHrHV6JG5WnkS/\nONqB6LdjB9x0k/2xrqnVxL7i6mdre9PTc7PpOLYHwfqlWRG79lp46CG4665i+06btoCkvrNstveh\nD8kahHku5uqRt+9ctsyt7YG5fm1fEQN4/evhP/4Dbr457zMJFi5onadWbG/jdVVeT5rVQbzBYHAQ\nfvhD6VcJKu9niYvBIC/9/CoqYF4Ri+NM3vhGuO8+uOUW+2PTIIl+tn0qXpO2t7I3JKuI+X3/ptMj\ncWxvxQqZUXjsMbjhBrtj08DFQN5OtveGN1TH9iC57/T6+2zX0HShn8uKWFf0S4rJH/wB/MqviFPJ\nG29vxgsXZk/zmcyTe8cnaTiFfJzJ5KT8vxcssPvcri6ZGtmwwe64tFi2DB59dO7zaernajC45BL/\nv6XpTF73Ovj+9yU7LwJBd6mZ6NfTI3fxXrggPUlRuLK9et1seiSsmh63qvLP/yz9pXnuEeqRRDvI\nryKWR1sASF/Y/ffDNdfYH5sGQTc6ZDX2eX2E3lSvKUn1O3vWbY9laStiS5YUIwiDxp03reKNjMi+\nWFHk2XCatM9h4UL7PgeA5zwnOAjMmqD/a5r6BW2NYkNeg0FnJ/zET8TTPQ38BoPJSakqmfSp2Ojn\nyvbOn5cBJKhanqZ+Gzbkf6e5R9BAbmN7SSticaaW87I9kAQoapYlK4IC6TR8p9fq0zqLEsd3Jh37\ntEesoAQFYt4KzmHkWVEJuhi9Jsyw6ZG45fWiERaIFVm/oLvuwOyWfNfOJC/89PMG3M7O6ONt9PPT\nzvt8m22uonpMTPUru/2p7ZWbLPUbHfW/k9b1bJDJ+2mPWEFxUREznecOKq/HyeqCLkaTu0fiTo0U\njawrYkGDQdZZeZX1M9UO7PTzs73ubukbs9nAOMz2IJ+sPA+8u14vXJj9fJq2V4SpySrbHqSjX9C6\ncnn4Tq2IFRS/Eq1pVtDTI9M8pqs7B5XXXZZnIXqF6CoMBBDsiNPI6ur1bG62MFndu0r6xbU9sNMv\naCFIW/tLanvecie9veafWUS8O4azmk1Q23OLX/Xv3Dn51+TadGF7tvrV6+HfvwZiJcZPvGPH0hkM\n/Coq/f3iHPz2/QrCZHqkHQKxpOV1mz6Vc+ekgtLaKB03kM7jzq2ikbftgf1gkNT2zp2Tm2TyXsza\nBUnbOpJWo13b3pIl8vd2beuwSYJsfGeQ7dnqNzYmU5xdAbcq6vIVJcbFBWnTMNxaou3sFMcQtLCs\nHxqICb290tzdPD0yNWW3KGES7aBcd24VjbxtD7IPxKoytQXJ9IvTrJ/21GRnZ3Rbh9qekIfvTGp7\nUKyK2DLgm8ATwDeAoButnwZ+CDwEfD/B5xUavxJtWtMjYVm5zVx5WFYHZoFYFbI6v7teT52S7yYo\na2omD+1AAzEPtb1yk0Q/m4E8aIFt17YH7ZPEZtkW4NL2kgZiRaqI/T4SiF0B/OvMYz/qwCBwLXB9\ngs8rNFlm5a6aFjUrb9A6GNhMbdlq58KZTE/L9FTQ928yPVIV/drR9qoykEOyqeV58+QaN+mvHR+X\npKt13cPFi6Xf7uJF83NOGkhXyfZag+g0facr20uiXVSPWRySBGKvAT498/ungZ8LeW1BVhxKj6DM\nwPTOLRdNi97ga4oOBg1a9UtTOz9nYqvd6KhMqQb1CLXT9IjaXrlp1e/cOWkNMPn/1WryurGx6NcG\naVerycCs+tnT2ytajY83nqu67V24IP7V5VpuSQKx1cCRmd+PzDz2ow58C3gA+I0En1doXDQMJ62q\n2DoTF9MjVXAmMPf/mmZFJUi706fN3gPMSuPtop/aXrlp/b8ePy7amS4YbKpf2L6/ru2vXfTza+so\nuu8s4moBUR0w3wQGfJ7/w5bH9ZkfP14CHAJWzrzfMHCP3wu3b9/+498HBwcZHByMOL3i0HoxTk9L\nydak2RvMm04vXJDGcr9bg/v73TuTZ58N/vvoqNk2FmUgiTNx0eeweHFjLTmTASiqvA6N/9OmTf5/\nr0qfkYupyZERs9cGTY/094fbSitnz4Zv8dUuAznI//WZZxqPbbQDc98ZpB2IflmuA1cV24PG/3XN\nGnk8MgLPe57Zsba+8/nPn/u8a+2a2zpaZxyGhoa4/fYhJiehKVxJTFQg9sqQvx1BgrTDwBrgaMDr\nDs38ewy4HekTiwzEykbrXPmpU2JopuVL0wvSG8j9Bus0yuthd6OE7XVYNlr/rzaDwYIF0qMyORnd\n3B80NdnVJf0u587JlGIUUVkdhOvn7XVo8llFx7vrdXy8sV9k1uuI5WF7VRrIH3qo8dg2EDOtiAVp\nB3b6edda2DpZJvpVKZCO6ztt7nrNyva8to7Tp+f66sHBQZYvH+Tb35ZAbMeOHeYfHEKSqck7gF+e\n+f2XgS/7vKYX8P7LC4GbAZ/tlcvPihWzs+o4WZ1peT0oq9Ppkfgk0c/rU7EJpP2w0S/p1KTX59DT\nY/Z5RaZWS6afi4Zhtb34uPCdSStiNvp5331Y5Vr1MzvWti3Ale0l8Z1pJEFJArH3IxWzJ4CfmnkM\nsBa4c+b3AaT69TBwH/B/kaUuKsfKlZIVTE7K46NHzRsWwXwgd5XVQfQF1S4r6wMMDMDhw43HtvqZ\nDgZBFTGwD8SipibD9KuSdjBbP+8OOFNnaWp7Fy9KJcSviuja9qLueq2SfkltL+uKWFLbA9XPI6+K\nmGlbhx959IiFcQJ4hc/zB4FXz/y+F/CZ1a0eXV2ywu+xYzJXfuAArFtnfvyiRbP7JIIIq6j098Pj\nj5t/pjacNlizZrYzsdUv64bhpFldlbSD2fodOABr15o3e9tUo4PaAuL0qYTp19Ul+vhNj0C19Etq\nezYVsSLYHqh+Hi5ulFm4UBIkk9YQkM+LqthFVcRca6cr6ztkYAAOzXTExRnIXZTXTZ3JxYvy07qm\nTjPt5Exas7r9+2H9evPjXUxN2gzmSacmq9QsDDIYlMX2IHpqEtonkF61ShJYb3u2PPTL0vagWvbX\nHIiNjkq/bJCPa6W3V9okTLbmC9KvVrNrL3CRxBZpalJpoTkQS2sgd1leX7QovGoQNT1SpYbhZu3q\n9fSy8iynJrPO6vKkTLYHyQfzKtled7d8r16fURz9ijY1GabdxIT41Cr0Z8LcAsT69ebV6FpNKlpR\n68BNToYvYJ2lfmkkQRqIOSRJVp51s76JI49aFLRKg/nq1dLbMD0tlY2OjmhjbcbV1KSpfi4aTqui\nHRTH9upBi/i04CIQU/2ErJv1XdmeabBSdJq127/fTjsw852nT0vVMmgB6yxvdDLR3xYNxByyYUNj\nLSHbCzLrrNz0Ygq7ID3jqALz5kmD7aFD8ZyJTUXMRZ9KUmdSJe0gf9ubN08G1uaN48NIOphXVb/p\n6XacFf8AABx0SURBVPT6M9X20iGJ7YGZ7wzTDtz3+IXdbJGGfhqIOeTyy2H3bvn9iSfgiivMj7Vt\nGPbDts/BpOIT5FC8daiq5FC2bBH9bLUDs8FgakocTtB3lmV5/fRp8z6OMuBpB/b6LVwo0x5h+3JC\nuO2Buf15wdq8eeGva0f99u+XQdBmfTtXzfoubS+sraNq2q1ZI//Xs2fT851Rtpe179RArMB4zuT4\ncWmEXx206ZMPWTcMm/aYBF2Qo6OyeKbJXSplwdNveBiuvNLuWJPBwMvEgsrrWTYMVy0rv+wyuet4\naspev44OaRqO6lMJsz0wtz+T/kxoL/2abe+qq+yOtWkLyKpZP6yto2radXTA5s2wZ096vjPK9rL2\nna4DaQ3EHNI6kNv0ALgor3ub30Zl9mA3Nem3QnTVnAmIfk8+Cbt22TsTE/3CGvUhnT6VoNW9T52q\nln7z58vdd7t2yR1cGzfaHW+qn4usPKntQfX0S2p7RW3raCffuXt3ur7TVUWsiL5TAzGHrFghWdA/\n/ANcc43dsS7K652dktmbvE/SqcmqDQQAL3gBfO97cN999vqZDAZZl9ejpkeqpt9118GHPwzbttlX\nak2zchf6JbU9qJ5+110HDzwA994bz3dGDeTT06JNVm0B0F6+87rr4Otfl6p0GoG0K9vzWmqKNpug\ngZhDajW4+Wb42MfgZ3/W7ljTPpWoqoppiTbp1GTV+hwAbroJvvMd6VO57jq7Y7NuODWdHvEWBW2l\nivrFtT0wGwyKYnvj4zKgePtqVoHVq2XZg9tug1e/Ovr1zZhod+aM+NigAD3Lto6q2t4nPiE+NGxt\nSj9MfaeLtoDxcbkGopYOyToQq1CHTzF497vFqbwybLt0Hzo7xbGGrZUC7jID0/J60N0jVcvIQRz1\nZz4jhhrUxxWEacNpllOT0NCv9XOrmJX/4i/KHXdvfav9sSZVlaLZXlWWP/D48IelKmazhhhkW80E\n9Z1+vPCF8P73w0tfan+sq2b9p56K/iwXqwWk4Ts1EHPMFVfAn/1ZvGO9zC4oEKvXo7Mpm4bh5cuj\nX7d0KTz99Nznq+hMAN7ylnjHuRgMsrzrtYr6LVkCf/qn8Y41nR5x1ayv2s1lcFB+bHGRBC1YIIuG\nTkxEV0tc6GdzI1cZ6OyUIkQcTH1nWIBuU4020a65raM1Kddm/YoTlZWPjsot793dwa+x6VNJkhlU\nsaKShCwbTut189Wd220wj4tJRcyVfi6mtlS7Bi7aAmo10c/khin1nW7J0neaatfZKa9rTaympqJn\nreKggViBiMrKoyoqoD1ieeHiFmzTisr585K1mzSkq35muGgYVtvLh4ULRbuwXQ1MfKft8iNRqH5m\nuJpadqkd+OsXtQRRXDQQKxAmgVjYQA6aleeFi4F80SKzbXKSOhPvXFS/BlH61etu75o00S/orlfV\nbjZe8/X588GvUd9ZXFy1BbjUDvz1S8v2NBArEFHTI1HlWUhnLSN1JtG4WEesu1umns+dC38fm73O\n/PSr18Nv5W9Homzv3DkZ8MNWw09jesTvrle1vbmo7ywvRZyaBH/90qpmaiBWIFxVxLIor5uU+tsJ\nF+V1MJveSupMxsaiew3bjSxtL2kgrVNbc3Ghn4nt1etiP0n6M9V3zibLlfVd2J5WxCpOllmdzfTI\n6dNzp0c0q5uNl9WFTSua6hc1mNsGYq0rRKt2cymi7YHqZ0rUYO7K9sbGZJmhzs7oc2qnlfWTEFUR\nq9fdrcFYVNvTQKxAFLFZX6dHzOjulqkrb0NnP1z1qRS1z6HMFNH2QPUzJWowN23WT9v2QH1nK1FB\n9Pi43NUatoDxwoXyusnJ8M8qqu1pIFYgTJxJ1g2nkG2JtsyUZTBQ7eaitldusrrRKal2ExMSLNiu\nPl9lXNherWa2BE1RbS9JIPYG4DFgCgjbEOYWYBh4Eoi55Ft74Kq8HuVMpqfN+xzAf4Vo7VOZS1b6\n2TgT1c6MrLQD1S8NsppattFuyRJ5fXNbh6dd1XZFSIIL24PsktiiNes/CrwO+E7IazqBjyDB2Dbg\nzcDWBJ9ZabLK6sbGJCMz6XMAnR4xJUy/8XFZDLC3N/w9smjWV+3mUsSlY0D1MyWrZn0b7fzaOlS7\nubjQDtzr55cEFXFqchh4IuI11wO7gaeBi8BtwGsTfGalcZHV9fe7bfaGuYPBxYuyZo/Ne7QDYSV2\nb1oyKhNOo1m/1ZlELaPRjriwvXnzRN/x8fDXqX7ucVURS9t3qnZz8baUCuqvtamIldV3pt0jtg7Y\n1/R4/8xzig8uGoazcCYnTki24Hp14bITVmI3zepc69ffP3d6ZGQEVq40O75dcGF7kM1goPrNpSy+\nU7XzJ8p3Vt32ojZJ+SYw4PP8e4CvGrx/xBrhs9m+ffuPfx8cHGQwzg6wJSYqqzOdHnHZsAj+zmTF\nCvPj2wWTilgUixfDsWPhrzl7VjaXN6F5esS7dkZGYPNms+PbBRPbe+5zo9/Hs7+gTZ2np+32qmu1\nvXpd9Fu+3Oz4diFsIJ+YkGpL1HeuvjM/PN/pd13bJLFpN+vv2TPEHXcM8fDDZu9hSlQg9sqE738A\n2ND0eANSFfOlORBrR6KyOpMSreeQ/HaN9zDdgd6jdT2VY8fUmfgRNhiYltf7+2H37vDXxBkMTpyY\nHYjdcIP58e2AC9uD6NaA0VG51d60mtxqe6OjskyK3nU3m74+OHTI/2+mbQFptXWo74zGle800c90\n7PNbR+zixUHe9a5BrrpKHu/YscPszSJwNbkUdIk/AFwObAR6gDcBdzj6zMrhorze0dHYBDcIW2ey\ncuXsKo1mdf6E6WeT1blsOAXVz4R58+RmiokJ/7/bVDTD9FPt0iHK9vK46w5UP1OKqN+SJVK9bvYJ\naemXJBB7HdL/dSNwJ3DXzPNrZx4DTALvAP4F2Al8Dng8wWdWmrDpkclJuShMLqKouXJbZ7Jmzexs\nU52JP2H6mTqTNLLyNWvg8OHGY9VvLt46RGn3+Kl26RBle6Z33aVhe+o7oymifh0dsGoVHDkijycn\nZ7d4uCRJIHY7MtW4AOkju3Xm+YPAq5tedxdwJbAF+F8JPq/yhGUFp0+LkzeZ0oi6jdfWmQwMzB4M\ntLzuT5h+ea2FA6Jf82Cg+vnjQj/XtrdypXz2xYvyWLXzp8i2p74zmiz0m5qSO5oXLjQ/r2bfeeKE\nnIfpsk826H1vBcJFVgDpV8SOHJFMQZmNC/3SuHOruapSr8tgoPrNJQv9bLXr7JSB++hReay2548L\n7ebPl8E6bJsy9Z3pkIXtef2ZNovpNvvONLXTQKxAzJ8vma+X/TZjmhWA+6x81So4fryxj9eBA7BO\nFyGZQxYVFUhWERsZEWekzd5zCdJvasq8yde17cHswVxtzx8XtlerpTOb0ByIqX7+FLEaDbP1O3AA\n1q+3O94UDcQKRK0WfEGa9hhBdGZw5ozdBdnVJeuGeVm5OhN/opavcNWsb6ufDuRmBOnnfd8mbQGu\nK2Kg+pngotkbou0vie1NT0t1Ze1a8+PbBVdL/5Q1CdJArGAENQzbTE2mkRlceik884z8roOBP64W\nJWxdgLWZyUmZOrHpc1DtzFDbKy+u2jqiGr7jTE2eOCG9SUePyvvPm2d+fLvg4kYZ19pBdrangVjB\nCMoMbKYm08jKL7sM9u6VQODoUXEwymzCsjpT/To7ZdpwbMz/73H6HDZtEu3qdR3Iwyiq7Xn6geoX\nhAvbA/dVlc5OuOQSGcxVu2CC9JueFj1M9ndMoyLmjXsA+/drINY2BEX1ts36ri/ITZvgqafg4EG5\nk6u72+74diAsI3OVlcfRzsvCR0bg2Wdhw4boY9qRotseqH5B9PZKkui3DlyeFTFoBNKqXTBB3/vZ\ns5J4mtypmJZ2WdieBmIFw29bBbBv1k+jIrZnD+zcCVu32h3bLgRpB+6y8jjagepnQtFt79gxuZFn\nwG/TuTanVhONkuqXZlVFbS8YF7aXhnbr18vdkhcuwOOPp6efBmIFY+lSyeBacdlwGueCfM5z4Ic/\nhMcek9+VuQQ5k3pdBmcXg3ncQEz1i6aotnfllRKIPfigaGczLd1OuNAvzPa8iltvr915qe1FE+Q7\nbbRbsCC4KgrxbK+rS/b1/d73ZEZh40a7403RQKxghF2QeTYMX3cdDA/LBanOxJ++PsmcWpcfGR2V\npUlMp3PTqIjdeCN885tSXr/8cvvj24Gi2t7ChRKMfepTanthuNAvyvb6+uwD4RtvhHvvhUceUf2C\nWLIkOIg21a5WS893/p//IzaYxmKuoIFY4Qgqrzdv2hxFGg3D8+eLE/niF+Fnf9bu2HbBW4eo1aHY\naAfhg3lcZ3LTTfCFL8CLXww9PfbHtwNFtT2AwUG47TZ47Wvtj20XXOiXhu09//nwox/J1OS119of\n3w4EBdFF8J2Dg/DZz6Zre13pvbUSh6VLG3tbNXP8OCxfbvYeaWTlIBfjN76hd/6E4TmUlSsbz9lo\nB+GDuenCoq1s2waf+QxcfbX9se1C0NTW8eNwzTVm7+EtP1Kv+1dO4trejh2ylt8tt9gf2y746Tc9\nLc8tW2b2HosXN5YraCWu7XV3w913y3mkVVEpO0GBmGvfGWd7qTe/WW5S+5VfsT/WFA3ECsbSpTIF\n2MrIiPkFGXYxXrwo8+hxVlbfvBl+67fsj2sn/ByKrTNJI6sDeMtb4h3XLgQNBja219Uld6iOjck0\nVitx9Vu0CN77Xvvj2gk//U6dEh26DEe6tGzvppviHdcu9PXB+fMyPjW3cNjYHqSjX0cH/N7v2R9n\n9Rnpvr1iS1hmYBrNp9HnoJjhl5WPjNhlYlFZXdzBQAnHhe1BOn0qSjR++qntlYOODv8bJeLYXhn1\n00CsYPj1OUxMSLZgWhaPuusuTnldMcNPvzjldR3IsyeoxyhORVPtL3vU9sqNi9mEKP2KansaiBUM\nv4rKiRPS42BaxertleDNb/NwdSbp4mpqsoxZXdlZvBjOnWtsbu+hg3k58POdanvlwUUgXVb9NBAr\nGEHldZuLMew23iJfjFUgi6xO9UuHjo65Uxv1erw+Fb/B4OJFmJrSvQbTQm2v3LgY+8qqnwZiBSMo\nK7C920MDsXzwWw/HVr+yZnVVoNX+xsak0dvm5pYo29P+zHRw4TvV9vIjqKLZDvppIFYw+vtlAdCp\nqcZztlmd9z5B++aZrlSs2JN2Vqf6pUvrYKC2Vx6CbpSJY3v1+ty/qX7pknaPX5H1SxKIvQF4DJgC\nrgt53dPAD4GHgO8n+Ly2wG96JM5gEHRB2uzdpdiT9vIVql+6tOqntlceXNhed7cseHz+/Ny/qX7p\n0qrf1JTdyvoQ7Dunp6vbrP8o8DrgOxGvqwODwLXA9Qk+r21ovSBtszoIvo3X9sJW7HDVpxJUXlf9\n0kVtr7y4sD1Q/fKiVb9Tp2Qq0XQNOAjW7swZWbapqAvqJgnEhoEnDF+rXREWtPYZxekRC8oMilye\nrQKuesTKWF6vAmp75cXb1WB6uvGc6lce2tn2sugRqwPfAh4AfiODzys9rqZHtE8le1q1s10DDmST\n5/Hxucso1OuiaX+/m3NV5pKm7enUVrp0dkoFxUVbh/rO7Gln24sq+n0TGPB5/j3AVw0/4yXAIWDl\nzPsNA/eYnmA7snIlHDvWeBy3YTioT0XL6+nhp53NGnAgr120SLL7Zq3OnpW795q3AFHcsnLl7L1e\nXdqeTm2lj2d/3vccZ2pZfWc+pDnuFT2IjgrEXungMw7N/HsMuB3pE/MNxLZv3/7j3wcHBxkcHHTw\n8eVj9Wo4fLjx2HWfSpEvyLKzaJFUssbGpLIVx5lAQ79mx6/apc/q1fDII43HIyOwZYvde6jt5Yfn\nO6+4QirIWhErD6tXz06CitifOTQ0xNDQUPI3asHVpt9B+X4v0AmcBRYCNwM7gt6kORBrZ1ovyCNH\n5Dkb+vvhwIG5z6szSZdaraHfZZfF0w78l0BQ7dLHz/Ze8hK79whavuLkSdi6Ndn5KeE063f6tCye\na7MGHPjrV6+r/aXNwMDsAkTccc9bfqR5FsLV1GRrgWjHjsBwxookPWKvA/YBNwJ3AnfNPL925jHI\ntOY9wMPAfcD/Bb6R4DPbguYLsl6Hgwdh3Tq791i2TLZGakXL6+kzMNAYDA4csNcO/PVT7dKndTCI\no1+Q7enUZPo06+fS9sbGZFmLnp7k56j4s3SpfM8XLsjjOPp1d8P8+dLG0UzRg+gkFbHbZ35aOQi8\neub3vcDzE3xGW9Kc1Z04IRdWb6/deyxfLmX5Vop+QVaB5qnluIOBn36qXfq0VsTi6Ke2lx/N+qnt\nlYuODli1SvS75BLR72Uvs38fT7/mG6SKrp+urF9AmrO6gwdh7Vr79/BzJlpezwYXFbHly6VHohnV\nLn1WrpTK48WLYi+HDsGaNXbvsXSpTI+03vVa9Du3qoAr36m2lw/NvtOlfkWfTdBArICsXw/79snv\ncQfyFSvmXozj45J1zJ+f/ByVYFzp55eVF9mZVIHOTqmqHDwo9tPXZ99j1NkpvSqti4uqfumjtldu\n0tSvyIG0BmIFZNUqWXvqzBl49lnYsMH+PfwqYpqRZ8Nll8HevfK76lc+PP3iagc6vZUXanvlxtPv\n4kU4etS+Gg3ltD0NxApIrQabNsFTT8GuXXDllfbv0dcnF/P4eOO5ol+MVWHTJnEm9To88YTcSm+L\nTo/khzcY7NoVTzvQwTwvNm6UisrUVHzfqbaXH57v3LtXqmHz5tm/h05NKs7wBoPh4XjOpFabW6LV\n8no2eNodPChricVx4Do9kh/NtnfVVfHeo1W/8XHZesd2mlOxY/58GYgPHIjvO9X28iMN24PiB9Ia\niBWUrVvhhz9MdkG2ZgaakWfD6tWSkQ8NxRsIQCsqedJse0n0a7Y9byCw2WFBicfWrXDPPbIUQtwb\nZU6ckIq2h9peNmzdCo8+mtz2yuY7NRArKC9/OXzqU7Ieiu3K3h6tF2TRs4KqUKvBTTfBH/8xvPjF\n8d5Dp0fy42Uvg7vvhm9/O5l+anv58PKXwx/9Edx4Y7zAt6dHpsSat8pR/bJh0ybR7OMfby/fqYFY\nQXnpS+Hpp+HVr5a7sOLQWqL19j1U0ue1r5US+8//fLzj/crrql82DAzIDTO9vTIwxEFtLz9e9Srp\nr3396+O/h+qXD7UavOY1ot+tt8Z7D7+2gIsXpW+6qLja4khxjLdnVtwgDOZmBkePxttuR7HnV39V\nHMnAQLzjlyyRaujkJHTNWKnqlx07d85dnduG5cthz57G42PHVLuseMELxFaS9HR5Fc3LLpPHanvZ\n8dGPwvveJ/21cWitRh87JolVkdsCtCJWYBYvjn8xwtwL8uhRuSCVbIgbhIGs97ZkSWOrlakp6XOI\ns4G4Yk9PT7LvWm0vX1aubCQwcfBLYlW/bPD2641LGbXTQKzC6GBQbpr1O35cArMkg4uSHWp75Ub1\nKy9l1E4DsQrTOld+9Khkiko5aNZPtSsXanvlplm/el31KxMLF8pSMefOyWMNxJRcWbFCLkKPMlyQ\nSoNm/VS7cqG2V26a9TtzRqaqdQ24cuCtoXnsmDwug+1pIFZh1q+XRUU9ynBBKg2a9VPtysWqVTKA\nX7ggj48cUf3KhNpeuWnWrwy2p4FYhWneQPX0aSmx9/fne06KOc367dsXf99DJXs6OmSfvAMH5PH+\n/apfmVDbKzfN+pXB9jQQqzDLlklGPjoqG+Beckmxb+FVZrN+vTgRaOinlAdPv+lpHczLhtpeuSmb\nfhqIVZhaTS7IAwfKcTEqsymbM1Fms2GD6HfsmCxFoz1G5cHTrl5X2ysjZfOdGohVnEsukRX6n3kG\nLr0077NRbPC0A9WvjDTbXtEHAmU2ixZBd7fcOam2Vz4825uYkB6/NWvyPqNwNBCrONu2wWOPwe7d\n8bdrUfJh40apppw5I9slbdyY9xkpNqjtlZtt22SHBdWvfHjaPfWUVMeKvv5ikkDsL4DHgUeALwFB\nbeC3AMPAk8C7E3yeEoPnPld2s3/wQbj22rzPRrGhsxO2boWvfEX6/XSvu3Khtldunvtc+OEP4eGH\nVb+yccUVUsm8995yaJckEPsG8BzgGuAJ4A98XtMJfAQJxrYBbwa2JvhMxZKrr4b774eHHoLrrkvn\nM4aGhtJ5Y4XnPQ8+9jHZPy8tVL902LpVqil33636lZGrr4bbbpM9K9PaWky1S4eeHrj8cvjbv03X\n9lyRJBD7JjA98/t9wHqf11wP7AaeBi4CtwGvTfCZiiXXXy/TI4sXyyJ3aaDOJD1+8Rclq3ttilaj\n+qVDb6/Y3wMPwI03pvc5ql86/PzPw3e/C696VXqfodqlxxvfKL7z1a/O+0yicTVz+lbgsz7PrwP2\nNT3eD9zg6DMVAzo7ZWqk6AvaKf684hVw551w6615n4kSh3/4B2n41vX7yseaNfDtb0swrZSP//bf\n4KUvhWuuyftMookKxL4JDPg8/x7gqzO//yEwAfyTz+vq8U9NcUUZ5sgVf2q1dDNyJV3Wr5cfpZz8\n5E/mfQZKXBYuhMHBvM/CjKTLe/4K8BvATwPjPn+/EdiO9IiB9JFNA3/u89rdwOaE56MoiqIoipIF\ne4AteZ7ALcBjQFjnURdyohuBHuBhtFlfURRFURQlMU8CzwAPzfz89czza4E7m153K7ALqXj53Vmp\nKIqiKIqiKIqiKIqiKO2FLvhafDYA/4ZMRf8I+C8zzy9Dbuh4AllXbknTMX+AaDoM3JzZmSpBdCKV\na+8mG9WuPCwBvoAsoL0TufNc9SsHf4D4zUeRG9rmodoVmU8CRxC9POLo9YKZ93gS+GCK5+uETmTK\nciPQjfaQFZUB4Pkzv/chU81bgQ8A75p5/t3A+2d+34Zo2Y1ouxvdTitvfhf4R+COmceqXXn4NLJE\nEEjfbT+qXxnYCOxFgi+AzwG/jGpXZF4GXMvsQMxGL+8GyO8j66gCfI3GDYuF5EXA15se//7Mj1Js\nvgy8AskCVs88NzDzGCRLaK5ufh25g1bJh/XAt4CfpFERU+3KQT8ymLei+hWfZUjSuhQJoL8KvBLV\nruhsZHYgZqvXGqR67fELwMfCPjDvaNtvwdd1OZ2LYsZGJGO4D7k4j8w8f4TGxboW0dJDdc2X/xf4\nPRo7YYBqVxY2AceAvwMeBP4/YCGqXxk4Afxv4FngIHAKmeJS7cqFrV6tzx8gQse8AzFd8LVc9AFf\nBP4rcLblb3XC9VSt8+FngaNIf1jQuoGqXXHpAq5D7kq/Dhhj7qyB6ldMNgO/gySvaxH/+ZaW16h2\n5SJKr1jkHYgdQBrBPTYwO5JUikM3EoR9BpmaBMkOvJ0X1iADPszVdf3Mc0r2vBh4DfAUsg3ZTyEa\nqnblYP/Mz/0zj7+ABGSHUf2KzguBe4HjwCTwJaQdR7UrFza+cv/M8+tbni+0jrrgazmoAX+PTHE1\n8wEac+S/z9wmxh5kamUPyXdxUJLzcho9YqpdefgOcMXM79sR7VS/4nMNcpf5AkSDTwP/D6pd0dnI\n3GZ9W73uQ+5urlGCZn3QBV/LwEuR/qKHaSzgewvSjPot/G/rfQ+i6TDwM1merBLIy2ncNanalYdr\nkIrYI0hVpR/Vryy8i8byFZ9GZhZUu+LyWaSfbwLpX/9V4unlLV+xG/hQ6metKIqiKIqiKIqiKIqi\nKIqiKIqiKIqiKIqiKIqiKIqiKIqiKIqiKIqiKIqiKIqiKIqiKIqiKIqiKIqiKIqiKIrSLvz/1vRh\n1wML4FoAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sig = sin(linspace(0, 2*pi*5, 1000, endpoint=False)) + sin(linspace(0, 2*pi*30, 1000, endpoint=False))\n", "plot(sig)" ] }, { "cell_type": "code", "execution_count": 222, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "(0, 80)" ] }, "execution_count": 222, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAlgAAAEACAYAAABvUwjbAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\niIiIiEg+/X/MOokc8uasqgAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from scipy.signal import lfilter\n", "f = lfilter(b, a, sig)\n", "plot(abs(rfft(f)))\n", "plot(abs(rfft(sig)))\n", "xlim((0,80))" ] }, { "cell_type": "code", "execution_count": 223, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 223, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAlYAAAEACAYAAABxmjhoAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzsvXm8JVV5LvzsXXs45+wz9kR3Mw+iDJ0A5ppoHJr4xWCc\nuKKICtHEL3wYjd7cxB9cEhECUS8OGLxKMAiIXIhgVMIgUZCDgNhgAGloaBp6pM/Q3WfcY+2avj/2\nftdZVXtV1araw9m7ez2/X/+6+5waVk1rvet5nvddgIKCgoKCgoKCgoKCgoKCgoKCgoKCgoKCgoKC\ngoKCgoKCgoKCgoKCgoKCgoKCgoKCgoKCgoKCgoKCgoKCgoKCgoJCDGgAngZw93I3REFBQUFBQUFh\nuZBs0XE+C2ALAKdFx1NQUFBQUFBQ6Dm0IrA6AsCfArgBQKIFx1NQUFBQUFBQ6Em0IrC6BsDnANgt\nOJaCgoKCgoKCQs+i2cDq3QD2oeavUmyVgoKCgoKCwiGNZoOhLwK4AIAJoA/AMIB/B/BntMHxxx/v\nvPLKK02eRkFBQUFBQUGhI3gFwAlxd24ly/Q2AH8H4D2enzuOozztvYrLL78cl19++XI3QyEG1LPr\nbajn19tQz693kUgkgCbio1ZlBRJUBKWgoKCgoKBwyCLVwmM9XP+joKCgoKCgoHBIotWMlcJBho0b\nNy53ExRiQj273oZ6fr0N9fwOXXQik095rBQUFBQUFBR6As16rFopBSooKCgoKCi0CCtWrMDc3Nxy\nN+OgxdjYGGZnZ1t+XMVYKSgoKCgodCESiQTU+Nk++N3fbssKVFBQUFBQUFA4ZKECKwUFBQUFBQWF\nFkEFVgoKCgoKCgoKLYIKrBQUFBQUFBTahk9+8pO46qqrWr5tEHbu3IlkMgnbtps+VlQo87qCgoKC\ngkIXQpnX42Pnzp047rjjYJomkkkxh6TM6woKCgoKCgo9heVgjJYbKrBSUFBQUFBQiIQXXngBGzdu\nxNjYGE499VTcfffdAICPf/zj+OQnP4k//dM/xeDgIB566CF8/OMfx+c//3m279VXX43169fjiCOO\nwA033IBkMont27ez/Wnb8fFxHHHEEfj617+Oww47DOvXr8fNN9/MjnPvvffi9NNPx8jICI466ihc\nccUVnbsBAVCBlYKCgoKCgoI0DMPAe97zHpx11lnYv38/vvnNb+KjH/0oXnrpJQDA7bffjs9//vMo\nFAp485vfjEQiQfIa7r//flxzzTV48MEHsW3bNoyPj7uOzW8LANPT01hcXMTExAS++93v4lOf+hQW\nFhYAAIODg7j11luxsLCAe++9F9dddx3uuuuuztyEAKjASkFBQUFBoQeRSLTmT1T8+te/RrFYxCWX\nXIJUKoUzzzwT7373u3H77bcjkUjg7LPPxhvf+EYAQDabde17xx134C/+4i9w0kknob+/X8gy8b6n\ndDqNyy67DJqm4Z3vfCcGBwexdetWAMDb3vY2nHLKKQCADRs24LzzzsPDDz8c/YJaDBVYKSgoKCgo\n9CAcpzV/omJiYgJHHnmk62dHH3009u7dCwA44ogjfPednJx07Ru0LQCsXLnSZT4fGBhAoVAAAGza\ntAlnnnkm1qxZg9HRUVx//fWYmZmJfD2thgqsFBQUFBQUFKSxfv167Nmzx8Us7dq1C4cffjgAuKQ8\nL9atW4c9e/aw//P/JgTtz+MjH/kIzj77bLz66quYn5/HRRdd1BVmeRVYKSgoKCgoKEjjD/7gDzAw\nMICrr74ahmFgfHwc99xzDz784Q8Lyxc4jsN+fu655+Kmm27Ciy++iFKphCuvvNJ32zAUCgWMjY0h\nk8ngiSeewG233SYdlLUTKrBSUFBQUFBQkEY6ncbdd9+Nn/70p1i9ejU+/elP4/vf/z5OPPHEBvM5\n4Dakn3XWWfjMZz6DM888EyeeeGKDF8u7f1Cg9O1vfxuXXXYZhoeHceWVV+JDH/pQw3mXA6pAqIKC\ngoKCQhfiUCgQ+sILL2DDhg2oVqu+hTzbBVUgVEFBQUFBQaHn8eMf/xi6rmNubg4XX3wx3vve93Y8\nqGonmr2SPgCbADwDYAuAL4k20k0dF959YZOnUlBQOJigm/pyN0FBQWEZ8J3vfAeHHXYYTjjhBKTT\naVx33XXL3aSWohVS4ACAEoAUgEcB/F39b4Kzr7APx/zzMSheWmzB6RQUFA4GHPfPx+Gp/+8pjPaN\ndvS8T+x9AqevPR1pLd3R8yooRMWhIAUuJ7pZCizV/84A0ADMejcwbAMVs6JeEAUFBYaZ8gwWKgsd\nP+9f3ftXeGbqmY6fV0FB4dBAKwKrJGpS4DSAh1CTBF0wbRO2Y8O0zRacTkFB4WCAaZsoGp1nsak/\nUlBQUGgHWhFY2QBOA3AEgLcC2OjdwLAMAEDFrLTgdAoKCgcDLNtCsdqewGrrga14Yf8L4vM6lgqs\nugR3Pn8nbn7m5uVuhoJCS5Fq4bEWANwL4PcAjPO/uObL1wBPAP+o/yPe9Y53YePGjS08rYKCQi/C\ncqy2MVb/9ty/wbANXPVHVzWe164FVrqpQ0tqSCVb2Q0qAMC1m65FRsvgot+7KHC7Z6aegWEbHWqV\ngoIY4+PjDYtBN4Nme5RVAEwA8wD6AfwxgIYVFS/6u4vwreu+hb/+H3+No0aOavKUCgoKzeKF/S/g\nrq134ZI3X+K7zebpzdi8bzM+suEjbWlDOxmrIFaKfnf5+OU4cuRI/NV/+6u2tOFQxmR+EtlUNnS7\nfDWPjJbpQIsUFPyxceNGF+EjWhg6CpqVAtcB+AVqHqtNAO4G8KB3I/JWKSlQQUEOV/3yqrYau1+e\nfRnjO8cDt3lq8inc/dLdbTm/7dhw4KBklMI3jnl8v8CKflc0ipivzLfl/Ic6TNuEZVuh2+Wreant\nFHoHN998M97ylrew/yeTSWzfvn0ZW9R5NBtYbQZwBmoeq98B8BXRRs16rLbNbMNTk0/Fa6GCQg/i\n+89+H3vze9t2/KDAg2A5VtsSTmgwbZcUSHJf0O9sx1aTvTbBtE1YjkRgpeeltlNQ6CV0pNRps4zV\nD7f8EN//7fdb2SSFNuJA6QCu+mWjt0VBHrZjt3UmLxVY2RabFLUaNJi2SwoMuj6SAm3HRtkot+X8\nhzpkGatFfVElEigcdOhIYEXmxLiBVb6a77mPb/vc9p5rc6uwa34X7txy53I3o6chE/g0A8uxQpmC\nXmKsJvIT7uMHeawUY9V2SDNWSgrsWXz5y1/GCSecgOHhYZxyyin4yU9+EvkY4+PjOOKII/ClL30J\nq1evxrHHHovbbruN/f7ee+/F6aefjpGRERx11FEu71OlUsH555+PVatWYWxsDG94wxuwb98+ADU5\n8vjjj8fw8DCOO+441zE7gZ5grHpxVnPunedi8/Tm5W7GskClszcPx3Haeg+lGauYGVtb9m8JLAjc\nasbq1G+f6vJrBTF+PGOlAqv2wHIsOY+V3nuTZoUaTjjhBDz66KNYXFzEF77wBZx//vmYmpqKfJzp\n6WnMzMxgYmIC3/ve93DhhRfipZdeAgAMDg7i1ltvxcLCAu69915cd911uOuuuwAA3/ve97C4uIhX\nX30Vs7OzuP7669Hf349isYjPfvazuP/++7G4uIjHH38cp512WkuvPQwdyTNu1mO1qC9iKDPUyia1\nHVWriqpVXe5mLAvazbYcCrAdW2rG//4fvB9f+eOv4PgVx0c6vmWHD3zNMFbvuf09uP+j9+M1K1/j\ne36gdYxVoVpwtVV5rJYXkRgr5bGKjcQVrViVDnC+EH1VlA984APs3+eeey6+9KUv4YknnqDlYCLh\nyiuvRDqdxlvf+la8613vwh133IF/+Id/wNve9ja2zYYNG3Deeefh4Ycfxvve9z5kMhnMzMxg27Zt\n2LBhA04//XQAQLFYRDKZxObNm3HEEUfgsMMOw2GHHRa5Tc2gI4FVs4xVvppHLp1rZZPajkM5uGi3\nP+hQgOz7s31uO2bKMzge0QKrdnus8no+MCij3xHLdN+2+7Amtwa/t/73Ip/LcRwYtuG6HpmswIM5\nsNoxtwPHjh27bOeXzgr0Yaxe/53X42fn/wwrB1a2o3kHDeIERK3CLbfcgmuuuQY7d+4EABQKBRw4\ncACapgm33717N0455RQAtbX4FhcXAQBjY2Po7+9n2x199NGYmKhJ+5s2bcIll1yC559/HtVqFbqu\n49xzzwUAXHDBBdizZw/OO+88zM/P4/zzz8c//dM/IZfL4Qc/+AG++tWv4hOf+AT+8A//EF/72tfw\n2te+tl23ogFKCmwTDmU57FAOKlsF2XsoK7nEOX4zjFXJKAUyEUwKrDNW97x0T2j5Bz/QdfDSo0wd\nq4M5sHr7LW/HnoU9y3Z+GcbKcRws6ovC7V6ZfQX5ar5dzVNoErt27cKFF16Ib33rW5idncXc3BxO\nPfXUQPn/qKOOQj6fRz6fZ0EVAMzNzaFUWpLxd+3ahcMPPxwA8JGPfARnn302Xn31VczPz+Oiiy6C\nbde+61QqhcsuuwzPP/88fvWrX+Gee+7BLbfcAgB4xzvegZ/97GeYmprC6173OvzlX/5lO26DLzpq\nXo+bgdOLOryslHMwwrLDjdEKwZBl/eKueydlXo/psXKcWn2qoPYzKbDusWqmWCgFf7KMVbdKgf/8\n639GoVpoybF0S19WK4IMY1UxK74BcNEoKta7i1EsFpFIJLBq1SrYto2bbroJzz33HAAEBld++MIX\nvgDDMPDII4/g3nvvxQc/+EEANRZsbGwMmUwGTzzxBG677TYmNY6Pj2Pz5s2wLAtDQ0NIp9PQNA37\n9u3DXXfdhWKxiHQ6jVwu58uitQuKsWoTgjweBzsUY9U8pBmrmEFsOxmrslmGg2DzvZexMm0zdlBB\nwR9/vkCPFV9uweyecgtfffyrLWOZlrv/kWHsiZHyBlCGZUh7tBSWByeffDL+9m//Fm984xuxdu1a\nPPfcc3jzm9+MRCLB/hDCPFdr167F2NgY1q9fjwsuuADXX389TjzxRADAt7/9bVx22WUYHh7GlVde\niQ996ENsv6mpKXzwgx/EyMgITj75ZGzcuBEXXHABbNvGNddcg8MPPxwrV67EI488guuuu649N8IH\nPWFez1fzsNFbA/WhHFwoj1XzCAtMCHElZ5mBN67HirFQQVKgl7FyrNiBlR9jFXRuYpS7ibFa1Bdb\nVt5iuQMTmfPn9Vpg5X1WFGyrPqS7cdVVV+Gqq8T1Cj/2sY+xf1tW+HO89NJLcemllzb8/JxzzsE5\n55wj3Oe8887Deeed1/DztWvXtnTdvzjoCGOlWzqAQ4yxOoQ9Vr1y7X/0vT9q67IxzUBWSpbJ7vM9\nfpuyAr0D478992+44/k7XNvQcdm2joWC0brAKkjq7EaPleM4La1CvtzfoFRgRYyVZzuZwFxBoZvR\nEcaKvFVxOjHbsVGoFnpioOZxKLM2veIve27fcyhUCxjpG1nupjRAlvGM67FqZx0rGhjp+M/tew6p\npLurofeDsgIt24otyxGrFpWx6qbAqmgU4cBpGWO13FKgjMdqUa8ZmBVjdWgjTnmGbkdnAiszfmBF\n8kCvBVbL3bEtJ3pFBl3uWX0QImUFxghi21l5nWehAPG1WLaFXDrHgjDTNps2rztwZwUm0NhhO47D\nZNZuWtKGgoxWBROy5Q7ahShSoLedirE6dLBx40bs3r17uZvRcnRECiwbZaSSqViBlZ8O3+3oleCi\nHeiVa+/m4FeW8Yx7De2sY8Vn+vm10XIsDGeH3VJgC83rftdHP+s2xooCq5YxVt0gBYa8v/lqHn2p\nvkiMleM42L0QbyB+evLprpX+FQ4udCawMssYygyhYkXvxPzo4k7gyb1P4vO/+HysfeMyCb2ET937\nKeFgGNf302ks9+AThChSYJx7LWVej8lYMXmv/v6L7rNl1wMrLghrpXnd7/q8LFq3BVaiPqNslHHz\nMzdHOt5ym9dlslXzeh6jfaORPFbPTD2D9//g/bHadMXDV+DBHQ/G2ldBIQo6xlgNZgbjMVbV5WOs\ndi3swrP7no21b6+wNs3gzi13YqY00/DzXrn2bm5nFCkwLmMVal6P67Ey3B4r0bWYtolcJgfDNmDZ\nVlPlFqLUsaJr5gOrOHV3ouDM752JufJc4DbEzIsC2ZdmXsIXH/mi9PloncluZ6wW9UWM9o1GYqwW\n9cXY61e2c1FxBQUeHfFYVcwKhrJDvoGV7dhYqCxgrH+s4XfLyVjFNQYD3T1otwpU4M+LXjGvd7MU\n6DiOfFZgl9WxEkqByUYpMJVMYSA9UCsG2YwUKDCvW47l8lzxP6dtbceGAwdVq4psKhvr3DLYsn8L\nCtWCsH8jBHms8tVoBZL5gHa5IJsVONo3GsljVTJKsa+LAvhewtjY2EFp7u4WjI35f5PNoGNS4GBm\nsMEoOr5zHA9ufxCP7n4UH/73Dwv3zet5JJDoucCqV+SwZqBbuvAau1li49HN7Ww3YyVdeT2Ox0rS\nvK4lNAykB1iV9rgLMkeSAu3GNrVbDpTpR4I8VlGzoukYy25eD/NY1aXAKIxV0SjG75N7kLGanZ2t\nJVy0+M+ZN5+J/3jxP9py7Lh/Rr88ip1zOzt6ztnZ2bY8t856rDwd2L0v3Yv7X74fs+VZ5svwYlFf\nxHB2eFkGQMMyFGPlA9uxUbWqvgbhXggqu3npna4ot9AkY0XHF3qsHAtaUmOZgZZjhS6D4weWFchJ\ner5SoCDY66bASvQ+epf0Ov9H5wcauPlrXC7IMFYlo4TBzGAkj5WXsbr5mZulMzt7pV/qBLrRA1wx\nKz0X+PqhYx4rkRQ4U55BoVpAoVrwfchEF/ccY9XFbEgroJu1oq9+UmC3Xzufdt+NiJIV2Dbzej3w\njOpB8jIOQYxVLpND0SiyDtVvghUE4ZI2Pt+fyPfV7mVtZPoR8pLSfdg1vwu75ncBaGSsnpx4EvuL\n+32Pxd/3MHz1V19tS6aczOLghm1IZQVeMX4FrnuytiSJN7D6x4f/ETvnd8q1qQelwHah24JMx3F8\nrSW9iFYEVkcCeAjA8wCeA/AZ7wYkBXoDq9nyLApGoTZj9XnIi/oiRvpGei6w6oXgohlQNX3Rc+sF\nj1U3zOqDIPP+NBMcSpnX6/co6mDkZRxEQZxpm9CSGjJaBoZlsLbE8Vk1Y14HWsdYHSgdwHRhuuHn\nMsy312N17aZrcdMzNwFoDKzCfEZMCpT4Bm946gbpwCQKZBgr0zaR1bKhHqupwhTmK/Psd/y1l82y\n9PtvO7YKrOrotiCTFgzvpjY1g1YEVgaAvwFwCoA/APApACfxG5QNsRQ4U55BsVoMZqx8dPhOoGmP\nVZcHF82AnqXoGrvZFE6IMqtfDsgETHw5g6iQlQKBGIGVRFYgmddTyZRrEI7jsxKa1yXLLQCtC6z+\n9b/+Fd/49Tcafh7HY7V7cTfbx2te9wYXXkSZNJi2yQa1VkLGY2XYBrJaNpSxKhhL44M3qCwbZWGS\nggi96LFqF7pt8svGky5i0ZpBKwKrKQDP1P9dAPACgPX8Bn6M1UyJkwKDGKusYqy6DfQsg+SWdqex\nN4NuZqzovsnM+IF41yAjVdM3GTW9nV+mxu9cJAVSYEXX0krGSphYIWhTqwIr3dIb7hVlHkb1WO1Z\n2MP28TJWYQZuPhszDG0NrGQYq1S20WPlSX7gxwdvYFUxK4qxigEZqbaToG/wYHk+rfZYHQPgdACb\n+B/6MVaz5VkUqoXAjqIXPVbd7t9pBZjHykcKBLp7SYpuZqx4picI3gF0Ij+BV2ZfkT6HzJI2QDzG\nKpVMBRcIrZvXGWNlW+hL9TUVWHmXtAljrCi4CzI/X/LAJbhv231S7TAso+FeeYO++7bdh0d3P9qw\n76K+iKHM0BJjtcAxVpx5nQIhGSlQ5t22HGv5GCvLh7HylOvgFQ1+rLAdG7qlS3/DB7uKEAXddi8O\ntsCqlXWsBgH8EMBnUWOuGCbvmcSjTz+K+V3zGP+9cWzcuBGO42CmPIM1uTWBUuCivogjh4/E3vze\nFjZVDs1kXAEHD60pQqAU2MVsEKGb2ygdWHmu4bbNt2EiP4Gv/8nXQ88ha14HELnkQrFadGXyBpnX\neSlwtG80VmAVZUkbr8dqID0QyFjtXtgt9E35tcM7MHhlyge2P4C1g2vx5qPe7NouX81jRf8KWHYt\n0JkqTLmkMNqf2MBulwJlBm7GWHk9VkYR/an+UMYqiDUXtklJgQzdxt4FjSedwPj4OMbHx1t2vFYF\nVmkA/w7gVgA/8f6y7//pwwf/6IN4+L6HsXHjRgC1joSqLQdJga1grBYXgeHh6PvFDay6edBuFYI0\ncVdgqXW0WdLoBcZKpjI64GaWZIP5tprXjSKGMkOBawWSeZ1nrEayIy2TAilw88LrsQoLrHiZMgwy\njJVfn7KoL2KsfwymbWLv4l4X480zVlKBlee9CEJXeqzqgbmIseIDK2IalRQYHUoKdGPjxo0sNgGA\nK664oqnjtUIKTAD4LoAtABqdm6h9ALl0DlWryvwjs+VZRv2HMVbNZgW+/e3A1q3R92uWserGQbtV\noKzAII9VN19/N7dRtm3eQTsKvS9lXo/psWIDY1CBUI953bRN19qBURAlK9DLouUyucDAKkq9H1EQ\nJnpGvoFVXy2w2rO4x7UP77Hy1gjza0fYNgRiyFqNZj1W/PvDT7x5KZDKZESRAlVgVUO3mtcPlufT\nisDqDwGcD+BMAE/X/5zFb1A2y8hoGWS0DLuBM6UZHDVyFPNY+TJWLcgKLBSAYoyizrEZqwgzxl5F\nEHXbEx6rLmYVo0qB/PsmOwuVMq83wVjxUqCMed1yLIz0xWOs/Ja0kZECc+lcYB2rKIOxSAr0+r/8\n2kWMleVY2LMQEFgZ4YGV970IwrIyVgEeq6HsUChjFVUKVIzVErotyDzYsgJbIQU+ipAAzbRNpJIp\npLU0e5gz5RkcMXwEXp59GQuVhWDGqsmsQMuq/YkKw45Xeb2b2ZBWIehD6GaZjdDNbZQNTL3XIMMS\n8OeQPX4cj9VxY8cFFwitm9e1hMYG4bgeq0h1rGJIgbKdfTNSYF7PYzQ7CtM2sXthtyvg4MstRJEC\nl928HvJ+Gbbh67E6bPAwX48VqR5RpcBuk7+WEzJWgE5CMVYxkdbSSCaS7GOZLc9i1cAq5NI57Cvu\na6vHKm5gpaRAf4RVXgeizz52ze/qWImGbmasiN2QlQKDCnH6Qcq8LmCsqBp4ELxSjuhcQsYqpseK\npEr+3fGTRaOa16MYnoXmdY+x3o+x0i0duUwOlm1hz+IeHDVyVEekwLaZ1yUYUSoQGuSxMm3TVZGb\nr+EVVQrsJGP1yXs+GUvW7hS6bUmb5TavtxodC6xSyRS0hMY+gpnSDFb0rUAuk6tlwPgM0CWjhKHs\nUE8FVt08aLcKMnWsol7/OXecg99O/7b5xkmgFxgr2cCHH7SjMFZh5xB5rN5y01swVZgKPHbJKGEo\nM+Q6h9C87qljFRbk+KFZxiqo3EIU31qQFBjEWFFbslqWJfTwk0mReT2oKGaUwrHtCKzoeqSkwBCP\nlbf0QjPm9TD5603ffZN0BmgY7thyB2bKMy05VjugGKv2onOMVbLOWNUf5kx5BisHVmIwM4iyWW54\nyE/ufRJz5Tnk0jmkkinfj+eV2VdCpYrlYqy66cVtNQKlwJiBZdEotmX2LEI3B7+y74+3jlWUdQOl\nAisBY6VbeuAzsh0bhmVgID0QXCCUM6+TRJPRMrGehzArUNJj1cqswLjmdcMykE6m2b0giSy2x0py\n0uA4tcxDep4zpZnANQhlIesxFS1pYzs2KmYFg+lBWLbFGMxWeKzC2MfdC7txoHRA6lhh0E29q4OE\nTnmsZBfIVoFVTKSSKSQTSfYRzJZnsbK/FlgBjR/hx+/6OO5/+X4MZYdc+3lx/o/Px8+3/zzw3KbZ\nYcaqi9mQVoGtFdhC83rFrAQGBlsPxEjt9EE3P6NOMFYygaXIY+XHBBF0U0c2lYWW0IKzAm1PgVAn\nfmAlMq/LMla5TIh5PYIvR8ZjJQr4DNtAWkuze8Gbuk3bdK2HF0UKlC2nQYHVv/zmX3DtpmulrjUI\nsuf3BpBAY5DJAqsWZAWG+QpN24y1pJIIFbMi7U28dtO12L2wuyXnlUUnpMBitYgTvnmC1LYHm3m9\ns1JgckkKzOt5DGYGlwIrzw2dyE9g68xWDGeHXUyXFxP5CZfvYzI/iR9u+aFrG8uqBVdRoTxW/pCp\nYxX1+nXTv4qy4zjYcN2Gls1oeoGxiuOxispYBW1vORaSiaTrnocFVhWzgr5Un+tbF3qsnMYlbdLJ\ndOsYKx8PmVeezCQzge9UpDpWEgVCRX0KBRNaUoNluxmrYrWIXDrXIAXKMI2y7w8FVrrVGpbF+14G\nbZfV3FIgBZl0L4IYq1ZLgYZtsPvbDGiiIHsvf7jlh3jxwItNnzcK2iUF3r31bnzxkS8CqPUFk/lJ\nKd8sTdSjvn/3vnSv9MoIncSymddJChAxVmWjjPnKPF488CKGMv6MleM4mCpMYdfCUmD1yO5H8L8e\n/F+u7ZbLY3WwGPFEkPFYRf1wdUv3vWckkbQssOoBxipqVmA7GKu+VJ/LYxVmei+b5VpgldCCpUAv\nY2VbSGvxAitmXud8R76MlUcKDDtnJI+VDGMlkgI9jBVv6s5X8xjODsOBA8dxWioF0nYUWEXJKg08\nrmS5B/JYeRmrjJZhjCcfWJEfrBnGKiyIbkVgRYk9svXfqla14xJYu6TAbbPbsGlvbUU70zbhwJHy\nTcY1rz+6+1H8Yscvoje0zVg28zqlWw9mBmvLF3Af4WRhEgBcjJXo45ktz6JqVV006r7iPrw8+zLz\nChSqBZUV2AYELmkTM2gJWlBVVl6QRTczVjTDk5UC2+mxIkM1v1/QOYix4idRoiDHa14nKTDOwO7n\nsQrz/9mOXZOcQli7VtSxkmGsmMeqHlzYsFGoFjCUHUICCThwpBirKIwR4AmsWvB9RTl/X6rPdc6q\nVXWxd7wUWDJKLr8tMVaymcRhz7JlgVWdfZGVAg3biFzSpFmEyaI8onjPitUiJvITAJbeA5l7Gtdj\nVTErmC0qiuMDAAAgAElEQVTPRtqnE1g28zrVthrMDLpSs4GanAcA22a2BXqsKADjGSsKqH796q9x\noHQA67+2HmYyrzxWLUY7FmHWTd23Y6cP7lBirGQZhziMlcwzYoxVBI9VxaygP9XPBkY6jkgK5Cuv\nt9y87sOsNTBWyXSo70Y22JAyrwd4rKimFy8FFqoFDGYGWR8o47GKKwW2irEybbMWJMt4rDzlFvh7\nYTkWY+gspxZYDWYG2fatLhBqWEZLSiREDRKWhbGK4B388qNfxo1P3yi1bdFYCqxYiQwJ31rcwEq3\n9K4MrFq5CHPwiTweK6pjM5gexEjfiOvmTOQnMNY3hrnKXCBjNZmfxPFjxzcwVqsHVuPXr/4aLxx4\nAflqHn0JHZY1FLnNKivQHzKV16PcO5Jc/Pahwb1VHVA3s4qy70+zdaz4cwm3cSxkU42MlZTHimOn\nRfuQFOjAadpj1Yx5Pa2lgxmriFJgw8+8dax8sgIzWoaxZ2ReL5tl5kWlPjDSWoERzeuGZSCRSMhc\naiBE3inf7TzlFrx+MwosibEaygwhr+cBxFvSJiyIXi4pMOqyUc0iLMjkMVueZZadMJSMEltAnI4v\nE6zGNa8rxqrusRJJgSPZETdjVZjE69e/HgACPVZThSm8fv3rMV2YZp3a/tJ+vOfE9+DOLXfi2k3X\nIoEETNvqaOX1bpaZWgWZcgtRPpKgLEOgDYxVFz8jacZKlBXYSvO6yGMVwoqJpEC/cgtagqu87sT3\nWMUtt0CsWZisZtomts1sw8M7Hw5sR1wpkJe/GGNVZ3KqVpXdT9uxpTxWovsRtF07pEApxkqwpE3V\nqjZ4rGh8KFaLLsYqTuV1v/7DdmyX1NoMeoKxijBhmKvMRZICbcfG/tL+pcBKkrGqjdUHB2PV8XIL\n/KCrJWqBFRUAJa18Ij+B16+rBVaBjFVhEkcOH4m1g2uxN78XQI2xOveUc3Hh6y/EZW+7DGsH19ai\nZ5UV2FLolu77XOJcfxitT4N7qxICDiYpkDeJt9S87uOxkmKsOCkwiLFKJVOoWlUkkGAeo6gQBRLS\njFWIFEjB6gPbH8Ctz94a2I4g8zr1bWHlFshjRVKg7dhIJpKuwCqM2YssBdotNq/blrDwp+j83iVt\nRFmBI30jjLEazAwyI38rzes0MV8Wj5W1TB4rySB6rhwhsKoHURP5icgeq4H0gPJYRUU6mRaa13OZ\nXAMrNVmYxGtXvhYD6YFAxmoyP4l1g+tw9OjRrOTC/tJ+HDlyJP7uTX+HC19/YV1uiMdYKY+VP+hD\naJUUGOTZAg5NxkrWfMyzTy01r8f0WHmlQJH8xZvXK2aFrRsYSwr0WdImLOi3HTvUME+Shkxf0Kx5\nndg7PiuQSl7wUiDP2oggax5vyAp0WsdYeQt/iiD0WHH3gmes6NpzmRwz8rey3EIUdiUMNEns6qzA\nCJOwSIyVUUQykXQFVrJS4GBmMJYvd7Y827Gl0GTRecbKdjNWw9lhDGWHXAUFJ/ITWD+0HusG14Uy\nVuuG1uHokaOxY34HgBpjtSa3hm2jJTQgaS5P5fUeK7cQ5eNmgVWLzOs0y+uUx6qbg1/ZtQK9ZT1a\nbl73eKyoUrdMYBWWFcib16tWFVpCCywEHIRIjFXEcgvE4hi2EXpvW1FuwVvHynZs170pVouhS3zJ\nvtsiKbAV34PIO+WF4zhLkqGnjlVGy7gYK7a8jVHEQHqA3YuK1TrzehR2JQw0SYwiBXbaYxWl3EIU\nxqpklHDUyFGYyE+4irqGoWJWkMvkYjFWuqUHFvldDnTUY+Uyr9cZqw+c/AFcdeZVLulgMj+J9UPr\nsX5ofWhW4NrBtTh59cl4ft/zMG0Ti/oiVvSvYNskExqQ7Cxj1YtS4I65HXjTd98kvb1u6cilcy0r\ntxBWx+RQZKxkpcA4jJWUed3jsaKAL+gcZaPcIAWG1bHSTR1aMn5g5TWI0zmF72bMcgsyfYEoK9Br\nrBdKgZxh23Tclde9UqAMYyXrcWxnVmA6mQbg/36Rx87rcataVVdWIC8FVq0qslqW3Ys4Hiu/e0Lv\nUCs9VrLy3nIwVsSGhsFxHMxX5iN5rF6z4jWxpEBKUogCmpB3mxy47B6r4ewwjh492sVY7S/tx+rc\napz9urPxO4f9jm+HO12YxtrBtdiwZgOe2/8cDpQOYEX/CiQTS5eVSqSARIelwC4etP2woC9EejmJ\nsQqSWyKZ1yWlwJbVsepixkr2/nkH0CgDo8w5vB4rUcBXrBYxV55j/2flFsKyArmBVbf0hiWvoqAp\nxkqm3EI9uAplrDgp0LAM3PXiXXJSoHdJG46xsmyrwWM1lBkKlD5kzet0PRQAGFY4KycDKqXDF4n1\n28a7qoY3K5Cul54B/56UzXKkEh0dY6wiVhGPU/j4/pfvx9/c/zeR2wbUgiUHjlRfWqgWkNEyWNQX\npdpYNIo4YcUJsaXAOIwVcAgHVl6PFX0kBH6Gq5s6+lJ9+J9v/J84be1pvh0udeIbDtuAzdObsb+4\nH6sHVru2IcZqOczrvVRuwbSjrXIvIwVG8liFSYF2i6XALg5+Ze+fqEaSNGMlY173eKxEweiNT9+I\nq355Ffu/MCtQVMeKY6wqZoXJXXG+GWFWoF8dK0G5hbB7YNo1FinUY8VJgZv2bsKn7vuUnBTI+4q4\ncgtMCkx2TgpsRZ9FMq+W1HwDNcMyWKY4mdGBxjpWVavKCkg3BFZG2XdyJ2xXRI8VPYuoiOKxomAv\n6nl2L+zGRGEictvonIBcXzpXmcPKgZUY6x+TCl6K1VpgNVmYjJwVmEtHlwJ1U8dIdkSqbfe/fD8+\nfd+nIx0/LpZtEWaSAgk8Y6VbOrJadqmRAdlnWlLD0SNHY1FfxNaZrS5/VW3fznusupkN8YNhGa6O\n4Bu//gbmK/O+2+umHmpejzL77bgU2MXPKKoUGKeOlcw5vB4r0XMtGkXXkhWirECR/MWb13WrJgXy\nVoEooMAkzpI2MlIgDcgyZmy6V0/ufdK19p6IsSobZdy37T7xkjYpsXm9bJZdawf6tZn/2w/t9FiF\nMVaGbSCVTCGRSCCBBDsvW9ImuRRk9qf7GWPFB5k0GMu0mViaKFmBtz57Ky5+4OKol79Ux0oiWIrr\nHc3r+djPSvb9AGr+qrG+MawaWCUlB5aMElYNrIJuLr37kaRAiTZtPbCVBeK6pWP90HqpwGqqMIWp\nwlTodq1AxwIr6hy85nUC3xFTLRN+X7/AKplIIpFI4JQ1p+DB7Q9idc7NWGkJreNSYC96rLyM1Q1P\n3YAdczt8tyezYVAdq0iMldlh83oPMFahWV2iOlatNK/bFvq0vgYPE3/PdNO9vqN0gVDOvK6bzUuB\nXknIt45VxHILFOhIZQVyjNVvJn8D3dQbC4Ry7Xpu33O45IFL3MFE3ShP1+P1WFl2eIV6aSnQmxXY\nQo9VGGPF+7D4gJrV9Eos3Qta9kYkBeYycoFVGEsjCgJmy7NY1BflL7yOKFIgK84a0bxeqBZis4tR\nFJW5yhzG+muB1WR+kq1s4oeiUcRIdsQ1yWi1FPju29+NbbPb2H7rhtZJBVadTBLoSGCVTqaRSCSE\n5nUCfUiWbSGBhOt3fh0uzeYAYMOaDbjh6RvwjuPe4dpGS6Q6bl6PMiPoFhi24QqsREZcHkGzxVge\nK6vD5RYOUsaqpeZ1D2MlCkZ5VgbwMFaSUqBu6U1nBXqDDT/GigIVXgoMK5JKA7yMtBaFsTJtE7pV\nC75orUCShVxSIHdvZIqaRpECB9IDbSkQSuUzfBkry2BWEJKNHcdpqGNlWPXAqj42pBLxpMCwPlkU\nWNGziYooUmBci0OhWojPWNny49NceQ6jfaNYNbAKlz98OT5z/2d8t3WcWoHV4eywK0hvtRRYqBbY\nRFw35RkrnkVrN1oRWN0IYBrAZr8NvB8Q4M9Y6ZbuYqtoP/4lIrMsdToA8Lk3fQ5P/uWT+MQZn3Dv\ni/hSoIyvQoSDgbEKm73qVrgUGOX6O10gtJufkewizEKPVUTGSsZjFWRe92OseHbaj7Hy1rHi+4co\n4M3ewFJZCCGbaluswCZJgWHBJQVMsub1+co8JvITqFpV9k2JPFaGbUA3dXcmHFdugQJlL2MV6guL\nkBXYn+pvnxQYxlhpdcYqoeGpyafwzv/7zoY6VqGMVTrnkoD9EMZYEUvIsysVsxJrII4iBfLLCUVB\nvpqP3RdG8VjNV+ZrUmD/Kjy6+1GX7O9FxawgnUwzX2ZUj5VsVmDJKLHxoGJWsG4wAmPVoUKsrQis\nbgJwVtAG/AcUxlh5ZUDAHVjtK+7DGd85A8DS7BMAXrPyNTht7WkN504ugxTYzWyIH6j6L28iDWOs\n/MzrcRg7lhWoyi1IM36WY7n8KZEYK4nBl7ICG0oGcPvolnvh7IpZQX+6nhWIRvmLPzb5qnRTZ8vb\nxGWs+GrkQXXALGcpMJGVAmlQD2obHc+0TWzZvwWnrDkFWS3bsLYffy9M20TFrLBgwo+x4gMr27GR\nSoQvw+N3/d57wTNWMrW6ZGDZlpTHiqTAZCKJA6UDOFA64K5j5bgZK5F5XVYK5DNnRTBtEyPZETdj\nFZPhiLKkDR/URkFTjJVk4A3UpcC6xypsHyrgmtbSLvZW1mMlW8eqbJRZn6RbunRg5WXX24lWBFaP\nAJgL2sDFWIV4rKpWFdlU1rU/H1gVqgU2q6DZXBASWL6swG4ctP1g2mYtBddZ6oBkpMBWMVZhWYGH\npBSIcCmQX5OtVYzVzc/cjF/u+mUDYyW6Z17Gqmw21rESMlZ268otkEfJG/jxDNb2ue3sdzxjJSMF\nMsYqYDvDMthaZ8VqEcPZYWRTWdZXyUqBNBPngz+vFCiTyQjImdf70/1tkQKJsQr6nmlcoOC6YlaY\nx4ovlurHWAWVfOHxwTs/iEK1wM7r157h7HCDFBiLsbLkF2FuxmMVt+/ig/wwzJVrHquTVp+EM9ad\nEbgPFXCl95gk+lZWXjdtk9lWHMeBbuoYzg5LZbQflB4rwG1S5D8sYImx0s1gKVA3ddegwLNeImjL\nWMeq1zxWgFzqNb3QYXWs4kiBQZ4MahePVxdfxW+nfit9HkIvMFYyjIM3oJAdGIM610d2PYLfTv2W\neayCzOtV213cULbcAn3/XikwLmOVTWUbJFT6e/vcdvzJrX/CrtfLWPmd03ZsNtkIswUY9lL2GtkZ\nslqWDeh8cVUmBVrGEmNV9xVVzIorePBmBcrKlzL3UuixanUdq5ByC0Ctf9ctvRZkWu5yC0GMlWxg\n9bNXfoa5Sm3uH9S/eAOruFJgxawgo2Xayljlq/nYQXAYe8djrlLzWP3Z7/4Z/umP/qnhnH/7n3/L\nDP7FahG5dA7pZJpJgcPZ4VAp0HEcaY8VFYU17FoWu5bUXD7QIHTSY5UK36R5lH5ewuWFy7H92e14\nOvk0/vj4P26UAomxQrAUqFu6K3AJY6ya8VgdaowVUPvQaTHMoNldMpFEWkuzF52HrJTFIywr0Mua\nEH7y4k/w7PSz+M57viN9Lv443fiMZO8fzQj570H2eoKu37ANJvGJPFb8YKmbjVIgeSz478BPCqQl\nbfpT/U3VsXIFmJ7AQrd0V+Du9Vj5Df78AGQ6wUEHyZFaQkPJKCGrZZFNZVEwCuwe0HYuxsp0M1Zl\no8zqO4mkQL79svfDD5ZtNQRWLfdYBSSjMMYqUQsoK2alYUkbP8aKXxInrM3EhNF5/dozmBmsyaH1\nxArd1GN5cnRTrx0rRrmF5/c9jz2Le3DWCYHuGhSqBQxlhiK3DYgnBQJga1nyuGPLHfjkf/skC0pz\nmRyTtC3bapBXRaDSGzLBKC1dQ5OSvlQfO18YgjxW4+PjGB8fDz2GLDoSWK3805W4/LOXY9P/3YRT\n33AqAIEUSFmBluWqYQUEM1ZygZXyWIWBXkz+Qw8yevKzSi/iXD/LCvSb4fpkz1TMSqzB+KBgrGwB\nYxVBCvQboMlU7cBBRss0eKxcUmD9uRGos6MgAPDxWPFSoKljKDMUv46VbaA/1e9qXzqZdsnHNLBS\nVh39LqiOFT8AhfUFxLSkkikUq0VktAz6Un0NUqDXY+WglklF3xMZgPnAihn7bQsOnND75JWI/SAy\nr7csK7DumQv6nnmPFUmBDeb1AMZKxm/mOI4riSAosEpraQykB1AyShjKDsWWAknWiiMF/nDLD7Fz\nYadUYJVL5yK3DYgmBeb1PIaytQBOlIzAL8dDUmBaSzMpcKRvJFQK5AOksDZRkEZ9VFbLSgdWQc9z\n48aN2LhxI/v/FVdcEXq8IHRECuRnJvxDFTJWIeZ13ixL/oMgJLB8daxa0Ul1CjR4ysgC1Pn5MQxR\nPlxCmBTo57GqmJVY8kU3B79RFmHmPUKUki4D7748DMtA2SzXWEkuQBGWWzDF5RZkFmF2lVtoUgr0\nBphpbcmUToZwaguZa5OJZKgPiN8/TAok1qloFJFNZV1SIN82JgXWB1NaNiSVTKFsuhkrPiuQ2hx2\nnywnnNWi62qnFBjEQDZ4rCzdnSHpw1jx74mM34wC/7CFkYk1ocAKaCIr0KpNFOJIgVtntkoxXXk9\nflZgFClQt2qroAAQJiNUrSr7GUmBfKHbkexIqBTIl2iRlQKrVjUeY9VDHqvbAfwKwIkA9gD4c+8G\n/MzE17wumRXIM1Yy5vVkk3WsAASuyyVCr0uB9P9QxspnUIpz/XELhMbVzXuBsZIxcraLsSoZJWgJ\njc0++XZ5GauGrEDPWoG+dawSjUvaxGKsvOb1OisF1L5dmrDReSlYZEWLQ6RAYkvCzOvkGeOlQBpU\n/KRAoDZI0vp4IsaKD6xk7pNXIvaD5VjoT/fDsA0mrbViMkj3X2ZJG8DDWNlyjBUdN8xvRv0KjSuB\njFUy7QqsmmasYpRb2DqzVWrwb4l5XeJZEysEiBkrPnmlaBRrWYEej1WYFOhirELaxBgrq2ZXyKZa\nw1i1Gq2QAj8ctgFl+QUWCKU6VqYemBXIe6yIJg9C0ql5rOJmBbLzhDBjPLp50PaDyLzuG1h56Hov\nyOMSyWNl6YGDnJc1IRyMjFVUKZD3WEUxr/OsDg/DMlA2yoxRavBY8eUW6lXTCVGWtOErr7eCseKZ\nPp7ZoUwiagsxVkyukmBJQ6VAu1EKFDJWjtu8DgAFo4DDtcNZkDnaN+qWAuvBlGEb7LqCajd5JeKg\n+5ZKpmoDoW3Ertvnd1yZRZiB2qSasiPJnxTmsTIsQ4q9IyacEgqC+pdUMoVcOseCYb5yfhToli5d\nRZy3ODiOg5dmXsJRI0eF7tdM5fUoyVUVs7I0focwViWj1MBYDWeHI0mB0h6r+rvSKo9Vq9ERKfDH\nH/px7WRBBUJDGCtaqLNiViJ5rOJKgY5TywaKU1uH2tVLWYHMY1WvMM17ZLzwGky9IFNwlPsWluET\nJAUerIyVjBTID6BRpByqNeTLWJl1xiq5xFiJglHeYwEslVuIIgWSDBP3mxExdzyzQx4rYq94xiqI\nVeH7qrAaT8R4MClQy6Iv1dcQWJGviv4NcIxVIjgr0CuF+cH7XgS1mUzD9BxbmhUYxFgJPFZALWDw\nywokJoyCTBn2jqTAMMaKGMdWMVa5TC6yx2qyMIlCtRA6+FPA1xHGipMCvQEMMeTMY1Vt9FgRYxWk\n+lDwJjLHe8EzVhWzEs1j1WOV10NxzOgxANweK37GAgRXXgeWgivKQqJFNRNIBJ47rnmdzWiTmlRl\nXx5Bg1a3gvdYhWnw5IPwGwhJZorSSbNFnQOCOVGbYpvXDxLGKp3kPFYRyy34SoEhjFWYFEhrBfLt\nCpICATRVIJRfW4/a52WsgKXAk/dYBQ3MrqzACOb1klGqeazqdaz4Yp/UPjouUEudp32pjpNICpRl\naZgUGPIuWHZtiRhXYNVq83oEjxVQvxdJf48VBVayQSZjrOqSVph5vT/d37zHirICJQMrCvS3HtgK\nILymlTdYF+FA6QDmK/MNP7/onotC/WY8gqRA72oYRcNdbsFyLCaJE9MkQhTzOu+xoqDvYPVYyZ+M\n+wgapECOsfJmBfL76pbOasvQAsyB50QqVrkFbwZKFAQNWt0K3mPlJ7sReCnQz2MVZir1gpbIicpY\nxZ1VttsHd+PTN+Lrj3891r6yM8oGpsaR91gFmte9HqugrEC/RZiT4Ysw03pyAFpSx8rbt3gDK0ql\ndzFWElIgzcr5tnnlDa95naRA+jfPADMpkDOvUzABoKHcAl2LLEtD5v2wArMUnHSSsfrZKz+rrQko\n8FgBS0FmmMeKgkx+5QERonisUskUslqWsUjNVF6PYl7PZXIwLANbZ7bi2NFjQxkrCqyCntVXHvsK\n/uU3/+L6mWVbuP6/rpfan0A+JqBRCuR9i0DdvJ5xS4GpZAoj2REsVBZ8zxFFCuSzAonp6kaPVccD\nK1/zekBWIO1rO7Yr2g6TAetHjiUFNhNYyWSrdBuok+fXeJIxr/Mf2o9e+BG+/vjXpWrteMGWyAkI\n5kRt6lYpcNf8LkzkJ2LtK7tWIEk+vGQlez1Bcq1h1QOrpCbMCnTVsfJhrPiFdR04UoyV7Ldm2ibr\nB+j//Pvmx1hVraqr3IKsFGjataxAfgA58f+c2HDPeI8VLwVSYOVl/lxSYH1fAC7GKm5WoGy5Ba8U\n2IrvgRh7UdB6zh3nYK4y1+CxImYpr+eZzYC8cVkt2+ixkgwy6bg0rtiOLZSlSI7OprJLC/w2UXk9\nSh2r/lQ/TNvEnoU9OH7F8aGsSr6aBxDcPxSNIvJ63vUzKuRJKx3IsJP0PQONjJU3o7FklNCf6mdS\noGHVCniuGliFmfJM6DmksgK5OlZ8uQVZdvCg8lgRAs3rXOV1r3kdcDNWANiMJQw183pnAysmhfVQ\nuQURYxXVvL5jbge2zWxbMkZHNK/LMFbeY3areb1slmM/fxk2jcyrDYxVK6RAu1ZugQKfwKxAn3IL\nNKj6XQtvXgcQmp7P45bf3oJLH7x0qb2CJW1o0OU9IGTOdpVbCJAfqY3eOla6pbOF4Pl7xmcFZrQM\nqwjNGCtPME/tYoxVYomxona5zOv1gUpWCpQJzBs8Vi2SAv0YK5LuGzxWXikwUSvQSYWIecYqkUi4\npMAg/w4rt1Av6eGXcEPBeVbLsn2orlZUUFagLGNFBZkrZkVqeZZCtcDkZT/ops6YKcKCvsB+J1sZ\n3iUF+jFW9ftJ64QSk1i1qkglU1g1sAoHSgd8zxElK5CvvB613MJB57FiJwsyr/OMVVKOsZLJ1Eug\ntqRN1KzAphirHvdYec3KDdvWGSuvx4qf9UZlrJrxWHUjYxW3XcASm+QXMOqmjmO+cUxjHasI5Ra8\ntZ548IwVDbrULv5vwJ2lS8klvBTod5958zoAtiCzzPPI63nXoGHaJrKae0kbPmhyMVaicgs+75xl\nW8yXw8tk5B/h0WBer9exAuDLWNE3x3usAPh6rKQZq4CswLnyHK5+7GrWZi2x9IzjLMLsOA4e3vlw\nw70QMVZ0D4gBFHqs6uwdX3qCjiOSAkPN65wUSJ5Z0XfJpECesYo5EEf1WJHRXbdq697JSIEjfSOB\nQUjFqqBoFPHs9LP434/+bwBgchyxd1GlQG8A45UCy2YZ/al+ALXJASVirBxYKRVYRTGvk8cqm8q6\nWPUgHLQeq8ACoQFZgYCAsbLlGKuEE29Jm6YZqx6TAmMxVp6BsGpV2dIfMkZEHnGzAr1SlCwosG8b\nY2WUY/tVwgJT3dIxU55ha5K1hbEyaowVnyXFB3AEb7IDDV4UdPsxVs1IgV4vmde87uexIinQWyA0\nSArMprINHisRsyOSAvnAijIS+XvBM1YkfwFw9Tt8VqC0x8ojEfPYOb8Tt/z2FnZ+YqwoiIj6PUwW\nJnHuD891/YzYJO+9pYCF7qcoKzBfrUuBVIWeLAdej1VEKZBKevixG7zHime54nqsotSx4hmrocyQ\ncPD/r4n/cknHw9nh0OsuGkU8t+85PLyrFvgyxopKTzRZx0rEWPEZhGWzXGOs+iMwVmHm9SaWtDkk\nPVb0Oz5C9u7LM1ayUmCiiazApjxWEbPilhvMY2XLeayo8/MOsrzcEse8HlbHqpWMVTuD32alwCDG\nk9U/qg/IPAtMZUnCEGRer1pVxljlMrmGLCQ/KdDlx6i/G36Sq5exivKtEXtBx/W+b7x8JmNeDwrm\nibGifenn3veUN6+TFEj3IkwKpMwwxlj5mNdlGSuv58x17xzLxUhTYBW28oEfeO8Zf34RY8Wfg6RT\nYKmOFSAulsozVvRcZe8FX24hmUj6DsI0WcxqS4xVM5XXo9SxGkgPsEBhKDMkDMg+9pOP4fE9jwOo\nM1bZkcDxRTd1FKvFWvmG+vMmxoqkwLDxyXZs1tcD/lIgXWfZLKM/XWeskkuMlUgK3LJ/C+58/k4A\n9X5Dkzev59K5WEvaVK0q+6bajWVhrGyntmo8HxhRNByFsQorDgrUGauY5nW+g4uCsIGxGyFirAKz\nArmZJMErBUbyWIVJgVbdxCrybMT0WLUzc7NsNsdYBfkNqKOk2T3P1PB/y5zDz7xOHqvBzGDDenf8\n37x8RDWsgCU/pTRjFSErkGeseKM077EKMq97yy0ESYE0s/cyVoB7RQYXY0VSYCpECuSYCfJVAf5S\noKzHKsi8zreDmKWMllliJSO+syL5kBjrBsbK8jBWIVmBgYyV5L3gzev0vgUxVhkt41oGR0Y6emz3\nY/jGr7/hOmcUKZBnrPz2KxpF7JjfAWBJCpRhrPJ6ngVAXsYqLBihwIUy730ZK7uRsUpradaHrBpY\nhZmS27z++J7H8aMXf8TOE2VJm5G+kXiMFWcjchwHF//84sirqshiWcotUKfKl0qgaJiiab99IzNW\nTrwlbZr1WPWaFMh7rMIYK77WjncGwwKriNdfMSsYSAVLgX2pvkYpsIklbdoZ/JaNctMeK7+2UYdG\ns3uvRCcT0IZJgYyx4ipRexmXBo+FsTRjJSnQz2PlNa+HLdrLg2esiPlIJBKuIE5YbsESMFYxpEBv\n/Wiod2kAACAASURBVB6+HSIpkEpB+EmBAHwZK1FWYFiJgSDzOn/v+GDCK/eGYbY8y+QpWcaKSYG2\n5euxIraNGKuMlmH9PF9IVrpAqNnIWImu0euxIr+izDe8ed9mbNq7yXVOGSnwK499pVZMtM7AVMwK\nhrJixqpklLBzfieAWvAZJgXqVo2xylfz7HgNHivBfbBsC39z/9+wY/Dqke/zdLjvv+6xSiVTbo9V\n2c1YVcwK6z+iLmkzkh1Z8lhFZKyAWj+Qr+Zx9a+ubps0uCzmda+/CnAzVn51rEgqBMA+rDAkHA3J\nVHSPFf8Rx/JYHcxZgVRuIdHosSLJJKrHKkwKNGwD/el+oRQY12PVzuA3LpMG1BZhlpECRYxVAgnp\n4CTIvE7r9+UyuQbGivbxFhqkdGsguhQYhbHiB3MaiL018ng2ystYucothNSxYlIgZ1hnjC63H29e\n95MC/czrAALN6/ySNpHqWPlIgTwjTYGVd03DMPz4hR/jqkeu8jXyixgrJgUKPFb0O7pfjLGqb0NZ\ngnyBUBkpkF/ShrIChVIglVuo17HiA70wFKtF17MleS9oX8dxcPEDF2NfcR/blhZvFmUFFqtLjNVs\neRar+lcFm9c5xopJgVxWoJ9VpWJW8M0nvsm248fiMPO6i7EKkQL5jMso5vWyWa4Z/CMsaTNVmMKi\nvuh6ptSesAzMuFiWcgtefxWw1BHLSoH0YYXC0aClO5sV2IvmdcOu1VPh61gFyXKsOnILswL70/2R\nGaumPFbtlgKb9FgFBZnAUs0fXhaTSbOncwQxVgCYTOTAYf4E2hdwSztA7ZoH0gNsX+Z/EpzHKwVG\n8lh5SijQvvxagWSi90qB1B5+3T2/c1p2nbHykQJdjBUnBZbNslAKFHms+IFIZF6PLQUmxR4aL2Ol\nJTTX0juyk4Ed8ztYXyFirESV19n7IvJYcXXJSP6jCRywxGpFlQJ5Wc/rsZoqTOHLj36ZtTmtpWuM\nlaWzxcRl+pZCtdDgM8xomUAp0HJqfsipwpTLY0VBAw/HcVAyStgxVwusZkozWJNbExpQFqqFQMbK\nL8C0HMuV4UsIq2PFe6x4xkoUWJXNMrvOqOZ1XgqUKRD6xUe+iJufuZmRNoZtMGnSG1g9M/UM7tt2\nX2AbZLAs5vUgxipoSZt4UqAGLdV583oveqwG0gORGSuXFGg3KQWGlFugpS28+8X2WLXTvN5sVmBA\n24IYK9lsH5a5KdiWjk+TH/JZNQRWnLQD+EuBom+B+gDqByJlBXJlJfjSH2EeKxo0ZLMCecbKy5Lx\n183awcl5VHmd/u0nBebSOQAejxUvBTriAqFB3pAgKdDrsUolU+hP97NikrKTge1z22tFIAUeKz/G\nqiErUHPXsaL+3FXTK4Cx8ntnHMdxBTqA2GP1yuwr+PcX/t3VZjKvk5wnG1jRN1M2apOLsMGe7gUF\nVuSxEkmBFbMCBw6TAmfKM1idWy1lXs9XBYxVQFYgX4g5TAoMygpMa2mUjXIkxkrWvD6SHWHlKWT2\n081a3Tnd1JHL5AIZq4d2PIRbn701sA0yWBbzehhjJVUgVNq8noKWXp4Cob0UWBm2gVwmF7ncgncG\nQ9KAbGVfQtksYzAzGN1j1cSSNt7BJ6/nA9OCo6BsdtZjRdvKSrBBwRvPWAFgPiuvh6tqVdGf6mfn\nE0mBfuchudhbbkE2KKTt6F3kv1M/j5WojlWQFEiBqpex80p6fDvoemiNNPq3n3l9MDMIoBZAJBIJ\nJBPJRikwxpI2vh4aXgqsP4O+VB8L0qMyVqKsQD6hwDcr0OuxMnUWZPKlJ3jGigpO0r3wYxwf3f0o\n3v+D9wNYCmBICuQHYRHzSYyVbtUYdMdpXDXAi6KxJAWy6uPJdEOAxIO+4anCFHLp3FJgJSi3UDJK\nGMoMYbIwCcMyaoHVwOrY5nXyrgltAFy9QK8UGGZe93qsWLkFgXm9bDQyVrLmdSqiKrsIs2mbmKvM\nwXZs9KX6YFiGb2BVMkqYLEwGtkEGXemxaiVjVZMCO1vHKsi/0q0QMVZBUpR3MAPiS4GO4yxlBQZk\nInqpeaKrY3msBFLgjU/fiC8+8sXIxxKhbLRACgzJCuSXS6HJimxw4veMaDAHlhgrKrkgkgJ5L4lI\nCqRBVmRe92YFyhYIJQaJ7kVaS7sM3TzL02Be5xirsHNa9pIPrGJWGrxRfuZ1oGZYlym3QIEV9Xmp\nZKolS9rwwexMaYbJQA1SYFJDf6rGWIVV8+axY24HK83iLfHBM1b88Xgbh9djRSUKgMYMSWCpJIOM\nFLh9bjvmKrXK+DxjxczrnHTO34t0Ms1qekVhUfiSBiSH0bIufuADq4H0ADOvi0zvJaOEkb4RrB1c\niz2Le6SlwJJRwqK+yI5HS9oESYH8d9UgBYaUW6DK68CSx0pLahjKDKFiVlxyrx9jJWtej+KxMuxa\nIMUXE6UldkSBVdylyHh0nceKnP5eiBgrqcDKji8FioIHGfQkY2UZ7AOXYaz86ljxUqBsYMlr5VEY\nK++HHQUiKbBsltmSCc2iGfN6GGNFHRKj9Oszb1FRRj94g/+XZl5yHRvwMFY+UiAv34qkQF+PVZN1\nrKjdNEg0MFaCOla+ldcDpEDyCvEV5n3N61qwFEh9iiiwYsxMfeFr/v5F9Vh5pcCv/uqrbEFenqWh\nAIg8VuQnC0PJKGG6OF1jrHwyJEXLx/BSoMhjNZQdqt0Lz4LUwBKr5ZUC+WxQwlRhamkhZa6Olbfy\nuuVYLumLLxAapUYS77EqGSU5KZArQuott0DPnVA0ihhID+DY0WOxc34nDpQOYE1uTeCzouPvL+13\n1bGiwJHuvffeBUmBvuZ1QbkVXgpMJBJYObDStV6gy2NlyQexzLxeLwkj47EybRP7S/uR0TIs4A1k\nrPI9yFhRB0MPliBdeZ1jrGSyAuFoSC6Dx6rXzOuxPFYiKdA2AgPL5/c9j+f2Pef6GS2FEJRuLwqs\nvObpKBAxVq1c8qAZ87rjhGQFcm3k2RCRYdgP/DMqVAs49dun1ma39UVvAY/Hyig2MC7eTE5hVqDP\nt8AzbAkkIlde51komgARaxKljlWYFMizUF4psMG87iMF0n32Jhd4pUCgkbHig0Rpxsp2V17PV/OM\nubEd28W4pZKpGmNVzQvrxIlAXh9+EsbfQyri6F2knZcCRR4rGcaKl0X97sV0cdqVyk/r1nnN66Ky\nHbwUKDNoA7XAh/dYRZECATDzOiXwePel+3nM6DHYMbcDs+VZrM6FS4G5dA5Thakl87q+gJX9K2tB\nZlLcVzQjBZLhH3Cb1wFgrG8Ms+VZV/viZAUSe0frmebSObnAqrjfFSj7mddLRoktct0Musu8LlPH\nKvKSNikkU2bnswJ7rNwCpQi7pECf9lMdKz/GipVbEOx/+3O347bNt7l+VjZqM50gGYuZ1wXp27EY\nK8GAz8/Am0Ur6lj5DXJ8Z0DV05mvxYexGt85zjK/HMdxlXR4fM/jbDV6wzJYJ8cYq4ybseLLLYRJ\ngXQtlLFH4PsAancQe+TalyvjIDSvkzE+obmDsHrQT509mdeDWFLeYO81r7veHdtwMVYiKZCCiUDG\nqs7iiczrUZa04ScNJaPk+qYdOKw9fFagLGO1Y24H1g6uhWmbQlk0X81jKDvUyFhxEyGvx6pqVV2y\naKjHimPvvO+Wi7GqG5bDPFb0bKjcAg32aS04QALcjBVJgbLmdQAuxoqd03YHVsRYPTv9LDJaJnD5\nL7JWrOhfgfnKvIuxWjmwsnYvEmJ2m5+weBkrGm/pvDxjRefkJxN8YOWVHmNnBRplVseK7gs/CRHB\nxVjVg1aqq9UQWJmlwPPLorvM646EeT2qx6oJKbAZj1WvZgXy5RYCzethizD7MHZlo8yKEbKf1Tuj\nsEHOy1iReTF2HSsRYxVjNXsvyMvTVFZggJTMt9HFWNWDCdF+n3/o8/jVnl+x4xNLZNkWfrnrlwBq\n95gCBJJ6gZoU6OexymVyQvMq81MK7jOw9I0AYKyQ7NqNLo+Vj3ndl7Gqt4famEDCdxkgr8GeZ5ro\n9wQvY8VLgdlUFg6choDHFVjxjJUmsQgzwqVAal/JKDVIdnQPWVZgVd5jtXN+J05YcYJvaZZCtYDB\nzGBggVCvxwoAhjKcFCiRFejHWE0Vplym9Vw65yq3wCdheGVRKhAaVQqk+0uDvazHCgBjfctmGVkt\n28BYFat1KXDsWPxm8jdYObAycBJC7Ntwdth1rgV9AasGVrEMTNG18VKg12MFuH1WvBWDbAn0LHnz\nOoAGY7qoQKjIvJ7X83h+3/Ps/4yxqi8UP5AeQCKRCPWk7i/udzGQQVJgK9CKwOosAC8C2Abg4sCT\nhZnXJetYJZBgs8lQOBoS2jJkBfaYFGhYBnLpnCu4CDOvixZhZmsFBhSg8768RCEHdhYC83rFrLD0\n2agQlQGoWtWWFIyjhUKbNa/LSoEUwLBZqOC8pm0y86rtuLPmfrmbC6xozbRU1s1YcVmB/Iy1ISsw\n3ZgVSMfxGpxp8KSgKooUGFZuQbhWIGdeB+qBVT0TT1jziZNX6f/Udv7/1A6XeV0T1LHySoGWIfZY\n+WQFUp8nKwX6MVZ0DfQN9KX6aub1lJwUmK/msWpgFSu34L0XeT2PocxQYIFQr8cKgFsK9DBWJBfK\nlFvgGSvqI0TlFqgdgLtAaGQpkCsQGkcKpEkMBcQixiqXyeHY0WPxzNQzWNm/MvAdIM9qLlPLsqQ+\nuVAtYKxvjC1IHVUKBNxyIC8FkupASGtpVmQYQEPgUzbKUub1+1++H5f+4tKl/bgCoRRY0fH9nhMf\n+NG9nSnNYEX/CmFgRdmpzaDZwEoD8H9QC65OBvBhACf5bhxmXnfk6liRyVqGsXJiMlZEVYctHyEC\nzUx7MivQliy3IKhjRcvLiPxLhLIpYKzqpuewBXEbPFb1FO1YHiuBeb1VHit+AIkDJgX6zcBCGCth\nkGBbLLDi5aWKWcFvJn6D0b5RNtB4GavBtLuOFbUrTApkkyjBAOgnBUb1WNFEzLukjSxjBTRmOxEo\nkPFOsJoyr3ukQFbHyoex4p+VtMfKaQys6J3hz03XRx4r2sdxHOT1PK4Yv0J4fH7JFj/Gaig71CDt\n8wVCvR4rAC72roGx8pjXySAfFlgRYxXmsSIGjc8KjMRYkcdKVgq0dHZtNOD3pfqQSCSEHquB9ACO\nGT0GJaOEVQOrAr2BFKjk0jm2XE5ezyOXziGbyrJ7IZIC6bxUJ8qrHvHXxUu7fEYgbcf/7fVPVcyK\nUAr03rNCtcCeJX2/tFB1lMAKgOt5HigdwLrBdcLA6vgVxwuPEwXNBlZvAPAygJ0ADAD/BuB9vifj\nOosgxiosK7A/3S9vXrdTSGidLbcQJuV0IyKb10Mqr/sxLsLAqm5ej+Oxaoax8j4j8hnFBS39QpmF\nzXisghhPl8cqueSxisRY1bedq8yhL9WH0b5RN2OluRkrPymQOlPbsV1SIC/7i4IBfnIVmbGyg+tY\nUf/iTZbhzevA0oDuDcD481DQx8tkUuZ1n3ILvuZ1zksUuAizxH1iUiDHJHrb7JUCqXQHTSR3zO/A\nd576jvD4uqVjMD3o+l68HismBcowVkk3YyX0WNWPFSYF6qaOucocG/RdjJVnSRv+mbukwHpWYJRy\nC7RNyShhICUnBa4dXMuukZhD+j//jReNInLpHNYPrUc6mWZSoPcdYNnCdaYpl8lhODsMLaEhX82z\nbEXyWImujb8fuqmjTwuXAi3bcmUEAu6JAtBofC+bjYyVyLxeNIrsPBSw0/2RDazoPFRugepYrRvy\nCazGlj+wOhzAHu7/r9Z/JgS/fpgvYyWxCHMUxgq2hqTW2SVtetFjReZ1moUGZei5PFYe8zrLCtTE\n5n2RFMgYqxgeq1w65xuMBcGPsWpGCjzze2fihf0vNC0FOnAC2TvfrMAAA7jlcIwVF+yUjTKbyVn2\nEmOVTWVdHithVmC9A6fvmpcC6d3wyo7Aknme92PQtyZzz7yGdHoX+SVtvIwV9RlCxiqp4dnpZ/H7\nN/y+6zz0HaSSKZdnKcy8TtciKhDq57Hi61jx/Q4FwXwmnKjEgOv+eN5tl8eKlwJttxRIQaTt2Fio\nLLBkBy94xkrkNytUC0tSoI/HigJR/jkEZgV6lvvxCzKni9MY7Rt1mdcHM4PCYMKbXcqkQHNJCqTl\nj/xgO7br/lJfRufxq5CvmzrWDa0DAGaq5gNxkXldS2o4evRorOxfKewrT/rWSZguTLsYKwpESOpN\nJVPMbxYkBfJLxvDwSoEU5PIZgcBSQMwzV94MUVGBUDLCE4pVd2A1mBlk94cPrKiECuGM689g/R39\nPKNlkEqmMFeZQzaVZYVGAUDXgYkJYC5fQqbQfGCVCt8kEP7rKnC4/PLLAQCP7X4MK05aAWvDknGV\nEMVjtSa1JlKB0LgeK693Qxa96LEiWYJYJ1GVc4JhL9Wx8gYmNKv0vuiEslFmgQf7mcllBQaUW/Au\nwkzm6biMVV+yr6VS4P7SfsxX5lkH2bQUGBDYDmWGXPINY6x8JAJeCqTAQ0torBYMzRZ5BohnrCbz\nk0LGipgtMt8yxoqTAr3MAsmDiUSCbRu1QCjzWIkYK9tdLNVyLMbGihgrLaFhpjyDpyafwnRhGocN\nHsbaSWxaNpVl94+xNJ5JBTFW1H+JlrRpkALrPhgKJPg6Vl7GT9pjJZACvcEgkwITNTauUC2wa6Ug\nvFgtwnEc9pwIuqVj9cBqd7kFjgnjM0tFWYE8W8Zf+2BmkF0rTfl58zrABVY+UuB0YRpHjRyFLfu3\nAKgN2uSlYeZ1Z8m8zpu1+bUCZc3rZaMMB0tL6PDsO/VnqUTjMFu1qjgsdxgSSLABn183UmReB4Bj\nR49lHiv+3i7qi3hl7hUs6AuoWtWlwCozhHQyXcv61LJIJVJL7F2AFEi+pAaPlYexYsZ7j8cqTAoU\neawomYQmE0CNsaKAnLx7dH+8jJVhG3AcoFAAXjywFQ9tmkFfeRhT+2vn3bsrC8tI40uP74M5NoaH\nfp7BL6+r4mNPApXKOPr6xlH+3b2Yr6/J2AyaZaz2AjiS+/+RqLFWLlx88eW4/PLLcdb/exYO/53D\nhcbzKFmBNPuUMa87dhPm9cQhVG7BcpdbCAysQhZhpgFE1rxOElIgS1PvrIWMlWeWIwNR8NtsVmCh\nWoBu6SxQbMa8HrhWoG1gpG8EANh9Zh4rn3ILfub1klFaYqw4jxUxUcBSHSs+MALA0qtp8HF5rBJL\n5Ra8zIL3+48jBYoYKz7w4wM10zbRn+pny9Lw5RaAWmBHMtX4znHXeUgypaVt+HXovPLXcHaYsR4A\nwqXAunmdlrOhe+ErBUosHE33l2fY+NR2kRRIEjvPGi7oC8zz6gWVMKDyHHSvgCVWIZFI+NexqjNF\n3ucwlBliQSn9jJdI6f4ESYFThSkcMXwEY0upPhYZtoPKLfCMlWzl9UK1gAQS7D54WRS//qRqVdGf\n7sdo3yjzWNF7IzSv1714r1v1Ohw+fDgSqL0v1O9tm9nG7jExTYOZwdr7pdUCK7oePivQ20d5pcAw\nxqo/1c+kQN5jJWIavbKwl7Gi7V6ZewUlowTLAg4sFJEvVfHYY8B9DxZQWRzEzTemMT1TRVEv4YIP\n9+NtbwMO7EvhtDNMZLPA+vVAuVrFJV9YxNe+BszO1a5JQwZDuRROOGUBq0dyeNPvZ3DJ31cxOQkY\nxkYUCpdj1X/P4vknvuX7vGXRbGD1GwCvAXAMgAyADwH4j4aNflP7O9C8TnWsAszrJDNltIz8Isx2\nColkh5e0cZa/QOidz9+JazddK72912MVVNPGdxFmLiswsscq7fZYbdm/BU/sfcLVPm+wQobJWAkG\ngjIAfJZTHBSqBdaxDWWGmvJYBUnJVauKkWwtsJJmrByxeZ0xVkk3Y8X7XPzKLRC7HCQFijxW3u/f\nK3+FgbIg+TaELWlDMrdICkwmkmxW/NDOh9h5ePN6Orm0bI7IsL1QWcBI3wjz6QBoyAr0kwIpeADq\nHistICuwHoAGTSS877YoK5Bf05OeGS8F0rtCvkEeFKyIGKu8nmeSnm/ldY95nfdY0bOh/b2MFZNF\nfaTA/aX9WJNbg4yWYfWocumcsMQAX9OLLxBataqMrQkLrIpGEcPZ4SXGilt9IGhfGudOW3saVvSv\nEDJWJaOEo79xNKu8DgBfe8fX8InTP8GyWenat826A6u+VB9ymZoUmNEyrE4ZSYHUV3jbx2dJ0iLH\nPPhgjIJDkgKDGKuEo2F6v4lnnwUeegjIV2qM1VVXOVgsVfDXf9WHd78bsIwUTvv7T2HNm+9GNgvc\neGsR23dV8bnPAT+6u4DywiBm9qVhJgrQEilc8NEUrrgCWLMqhbvuNpHPAwuLNpA0cf3NC/jZz4Aj\nj6kVPT71pCxOPD6N405axOqxAaxbk8HwWBVDQwCRsnxg3AyalQJNAJ8G8J+oZQh+F8AL3o0eewx4\ny1tCCoQmNOi2HmheLxtLg4Csx8q2lqncwjKb11+efTnSmkfMY1XvLIMYK5I9vHQ00e1BjF1QuQVe\nCrrrxbswXZzGGw5/A2ufiLHiC8tpaGQw//7Bv8fvrv1dnHvKua6fi8zrzXisqHOhtQtzmXjZioBc\nViAxVsRM8IyV6L3zM68TY0Wzd54BYh4rn3ILDVKg0SgFijxWXrmfBnS+ppRXfuLhYqz8FmH2lFvo\nT/cHSoEVs4LDhw53M1acFEht5FkO/vku6AsYyY40SIGfe9PnXBNKnrFigRUXTLAgLpFgZWVc5vUI\nUiBvXveazJkUmNRcbAEFQ7S2YKFawMqBla7js8BK4LEigzGwNFm27Nq7yWeRiRgrvyCT/k1tTCaS\nMB2xLFqsFjGYHmSBFbFrfkva8PeCkjaYFJjKhhYILVQLGO0bZcu18HK4l3kitpPM15lkBr/42C9q\n23IeK/r9QmUBuxd2Y+f8Tpy8+mT2OwL1vxo0F2NF7D4vBVKdsrSWDiwQ6q1jRRM49kwSGuYWTegH\ngInpKhx9AJuftzDzTBl7Cv341KeAmRng0dE0sA541ztTWNwGlM/WsGm7hcMLwMqVgL6xAifhoFCy\nYGUrePvbslizCnjotxrWvXYv/sf5ZXzyjcDH/6OIx/dU8auvAz95MY+bnhnCle/O4KZrFjCYGcQ5\n59TaNbA5hZWra4xV2ai9Z7zHauXAyhrr7DhY0BeQS+fYO8I/H35y2AxaUcfqpwBeC+AEAF8SbfDY\nY7W/AwuESnisqIAaRdpyWYHxAquqVY3tsQqSwjqFilmJxJiQ34MxVlo20GNFtWZ4QzKTAgMYO75A\n6FRhCu+9/b0uKZDJTJbueulFwR5lrYgKyxF2LuzE3sW9DT/3LbcQUwoko2/FrKBslmtrfjUjBQYV\nCLWNYMYqrNyC17yeWjKg+zFWfuUWeH+WSAoUlVvwyv00oHtn4X5weay4BcHJvO5lyUgKDDKvV8wK\njl9xPKYKU657RkEVP8miwZJvp4uxqk8ME4kErv7jq11MF//OGbaBVQOrcOqaU133gg/8+MDKT/7K\n63lsnt7suj/0XtiO7eoLvB6rVDK1FAgklxJS6F0RGdjJjuHAca3/ByxlBAK1d+CBHQ/g3B/WJjXe\nJW1EHqswxoo3r4vuBTEOXsbKr9wCAJawQ0Gxbi7J+TJSIGXU8uen+8n3Jz99+af487v+nN1D7zfg\nYqxsg937Lfu3CFkU/tpfmn2J3WMqFTGUHcJwdrjBvM7KLSQ07D9g4cUXa2P0XXcBDzxUa++//KuB\nn/5cx/dvzuKtbwVOOQVYuxbYs1vD7/+Bhbe/HfjVpirmD/Tj5e0W9kxWkEIfTjoJeN/7gDNOqz3b\nW25OYXoaOPu9Kdxwo4XNm4EHfmEimXSQ0TK49AslaMkkPvHnKbznPUAmncJMdRLpPh2aVrufXvM6\nLUnF3xP+OdH2fGC1on8FCywX9AXXO0Lga501i+aPIIHHHgNsO6TcgkRWIA0C/IcVBsdOIZGMnhXI\nmxDjMFbLnRUYNbASeawCswI9S9rwAx1lG4V5rCbyE3j81cfxhsPf0CAFeldD9ysQGrYqeqFaQNFo\nlDOIjXBJgU0saUOdoG7qMBI170zcKr7EuAT5zaiqMtVLc3ms6v6Sh3c+jDOPPRNA7XoX9AV2fF4K\nHMoMscGOgma+ltBgZtC33MJgZpDdf68U6DVf8/uJGCt+PxH7SOClQD5D1eux8kqBQeUWdEvHaN8o\nCtUCY8xosCU5kJ6JUAoUMFYEvt/zSoFjfWN49C8eZdvyHbtX/jNsQ9gn3f3S3fjojz6KK8+8Ev/w\n1n9wTRqo9EdYViD/HPh3RfTtEFOZTqYbMmApIxCoBaxb9m/BhjUb2H5UUFbEWI32jbrYgiDGigZB\nrw3AG1jxCS50b719FkngfLmFufIcjh45Wjqw8taxorby+04XpjFXmQPQyNpSHSsAzOpCfcorc68I\nAyu+/926fxtGMmN4YVsFc4sGZqb7UJ0/H0OzRcwZ4/jX7xWwO5XFiw+kML1Ox43jGqrrU3jXN00c\nhhqLtGoVMHu0CawC+nMmVqR1nHxiFh85v/b7lSuBN9+h4f7fWnjNSuADd1QxWejHf1tv4Yx1Zfx8\nez8+/d9rbdt0fxqYBo4+MoXBQXfldeq3E4kE8nq+QUI8UDrAgnA+K5A3rwPwDayIGeUDq7WDa1k2\n4Vx5ThhYtUoGBDoUWK1eDWzezGUKhTBWfuZ1xljVpUCpyuuWBsTwWJFWHttjtcxSoG7pMJ1ojJW0\neV2wCDNlolBAF1Yg1HEcFKoFzJXnUDbKLJ2Y9qmYFZdxVtQmMmmKvAKEQrUgDHBEHqtmGKu8nmdt\nSiQSGMoMRZJiedAizL6BrW1gtG8UANgASgMHTVB2L+zGOXecg9mLawufiszrWkJjBQcp6HBVXvdK\ngY7lGsio1o9ICuSlLJEUyMv9xAgBkPreGszrgjpWDYwVSYEcY8X7dnSzNuiTuZcmFhRU2ZrN2jaG\nawAAIABJREFUAn+hFCjwWBGITRNJgd7ZMUmBtB9vWPdjrArVAk5ZfQp+8uJPaoEVSYH1YBeAvxSY\n0Nweq4TbY+XHWJFMRoGbn8dqX3Hf0oBXZ7r8GKvjVxyPB//sQXaeIMbK716UjBLW5Na4lqZh7Ulq\nSNmNjBWTAuuFcatWFQfKB7ByYGW4x6paZMV1HcdxfQNeKdBb7NL7DWRTWZgm4Fhp7NhtYFup1qfY\njo3/vCeHp2+ryWz0R39jEq89ycbsJFD+623IzG/A135ZweCwicL6PmwrrcCqVSuQ7UvjyBMKSCOL\nk85I4cevVvHBP0ti0/9P3pvHy1GV6eNPbV293nv77rk3CwkJCRAgIoGwxwURQTZFBhlxmfnJjKKM\nGyCyjuO4jCLLjAuDjA6OoIKOihpF2UEQISABwpKQkOXuS+9dXdv3j+r39KmqU919b0Jm/M37+eST\n5N5eqk5VnfOe53ne5x1V8L0rbawZbJzPvz9p4pG7gbPfZeGuF6o4ZmkcJ65p/F5VwuJ1prFSon2s\n+ISWKggd10Gh5k+s6DrT3F8yS+zfPGIFhBOr2eosbnr8Jpx1oJfd8VW8PYkeNt55I4+FHQv/8hOr\nE08EHngASB7XHLGiqh0RxTd/xEoBpLlTgWWzjAXxBfPXWEX4OO2r4LuHtxNBHytd1dmuIfRau2G3\nEBQRU2VnMyrQcR3U7BqKtSJs18ZEeQIre1b6NFvkJUMhQtFoAWyWhEQmVgK6ck80VjwVKEnSnlOB\nLQxCiQokUTWfwNiOjdnqLGars0zf4qMC3bCPVVku+xCrKCqQP66gsR9PBQKNxrkhxMoSIFaSH7Fq\nFoTQ0VhQj7KgxoqSTMuxvP5iTrilDR1n1apCUzSGzlESH9RYiRArWiAysYyPCqTgEzwfFcg1IubH\nLIoKjNJYlc0yBtIDjMbkqUC696OSCSFi5XCIVYR4vSlixWms+O8ms84oxEqTNSzLLhOOBY9o0ljQ\nxpdvwswjVoZtMCqQ3husCgyOhSzJ0GQNo8VR9CRaJ1Z0vvQM0PfbNiC7Gl7eYuHGV26EVhvA1pkC\ntuYNXHUV8JuqgWIlhqe/CkxPA8+v0/DcVBzxvwbk8zW8sMNER6oIHOF9z/RYEsMdwEEHechSTw/w\n2B8V/HqDg4X9JnpvmMV71i3GScu8je1Dr+n4dt2qe8PNMSzfr4h4IY79elVYOw2kEmIz4aB4XeS8\nHrJbcGyfaJ9eB/g3L/x9QBsdEWJFrwHEPlZRiNWLky/i+sevxztWvAMAmE7Qciz0JHrY+pQzclip\nrfzLT6xOOAH46U+BU4+XQw8VBRPSqrpQuBrUWM1FvA557onVnlCB/xsQq3lprAI+VqJJFRCjBLTA\nmY7JxO1RVGBKS6FslhnKs7uwG2sG1/jor6odoAKbiNebaazmjFjtIRVIE0I6lt5j8XozKjCbygIA\nW2h5cS6Jj114Qs3uRDcsx0KhVoDruj7xOlUF0oTpc16vT4pUKcVE9W6jjJ+nYoPCT0Jc2tJYyY0J\nODhuR3/naPz8r36OvlQfAIF4XdF8pplRGquZ6gw7Bzo++rtqVaHJjcSqN9nr01iRoalIvF4wCgxx\nbUUFBhErXoxMY8EjVnzCHGW3UKqV0JPowat1/x1CxmyXQ6wCujDSqfEaK2a3UK8g7U/1t0Ss6PN5\njRWjAiV/YmXYEYgVR/PxoUgKG0u6DqTDMx0TaSkdTjItr69eTImhbJYhS7LvMxw5nBhTNTB9v67q\nGCmMeNV6kobpnImXX/YSoOlpDy2ivx8oF7HLSsHt0HD0sRaee2MFZ385gcqLgPtRFX/7fROVNc+j\nU56GnqyhlKlB0YCunhoWp+L4m1OB7m7g755QsbI3jv/6PnDOnRrOW23CcQ1c8FOPmvzsp1I4fIH/\nOmhPyRheaEOVveKfhJpg834QPSLxOlUFBpNMCvq/5UT0CuQSJKLPbdcOVQUGDUJ5doPmDdd12XGx\nz6/fCyyx4pzXC7UChjPD7HkIJlZUlS2iAt+89M1IaAn8fuvvkas2NFb8/f0Xl1ideCLwiU8Ap6F5\nr8CckWOwbTBEiFVb4nVbnR8VaM2fCnw9NVZbprfAdm0c0HNA09fticaKtByRVKAtpgJplwhAeP6E\noHXGO1E2y+ym3l3YHWppY1hh8XrIINQykEwk562xCqJCe9LShmmsbAOO6+wxYtW0KtBpaKwoQSL0\ng1DEWXMWADBdmUZ3optV6JXNsi/xoKpAmjAJbeQRK5qAg8lo0DGZp0Ho2EQiY6HGqglitX12O2aq\nMyyxomOhsWinKjCpJTFeGheL1yWF9W6jxArgqgID+q9g3z3SV9G5iKhAhljJfvF6MJm4dv21OHTg\nUPY+fvx4vVUQsepN9vp8oiIRK0FVICVU/P2Tq+YwlBlqqbFiiVXAxwoII1bU25NHiPjrEEwyFZmj\nAmVOe4bmVCAtmrPVWSS1JOT6MlfIyyhXVTw3ZeLH24FHd3jH/IUvWRhTLHzyHzSY40D1CB3bKrvx\npnU9yB2j4t6XLQzOeChRd7f3h/7d1VdCMpbGroKKr3zNxMeerOCmjyVw4gpgzc0a/utyE199tIze\nZL6OJBm4+kLgM7810JfqwNuP9Y47/ZyKjmQcsuwlQiS8X9W7Cs+MPdNUvE5rFUkxbMcOJTmFWgFp\nLc2E8a0MQk1bbLcQ8rHSOB8rNbpXoCo15jOqAid5ggjpok01Nbh2XMd3b2myFkqsCrUCqla1IV6v\nNRKrk5efjO5ENx7Y9kCkeP0vLrFatMi7EXfuaGK3ICvIG/mmiVXVqrIJnx6sVuHsARWY1JLzQ6wE\nFWd7K7779HdhORa++FZhASaLKBpPFHSccTXu97FqovEJitcpsaKJUESF0kKc1JLhxCrQ0iaosRIZ\nhPI+SnsLsZovFVioNTRWtmMjHUvPKbHlo2VVYH0sSG/IECtusiQqZ7riaaxsx2temjfyfvE619KG\nqEBqIEzPlyqrvlZF/DWi5tmkswiKj0UO2UF9SVCwHUrIHdOHXvKokY8Sqns7RflYRdotCKhAoEE/\nq7LXjD1KvE76KhqrSMRKoLHiq+AA4LjFx/neF6QChYiV6SFWRMvxCRyh/EEjTz65kSQJCTXBTH9J\nY7Wyd2VrjZUV1lgFESv6XdWqojPeyYxog3SRCLGyTQ2jo4BRUSC7Kh5+GNi1S8JIyURFUvDr7TI2\nFx18+tPAzAzwYGcZL9yRxJYhHef+1wyKRyVx/nkq8B7grjsV6LqKjFLDWBHYvtgGuoBE0oLiWjj5\nrSqW9wNPPRPDpGHg6T904zMPq3jb/lMomzfg4nUXh8bimvuLANJ47HENaw63YG8sY0FPEorS2JCU\nzBK0qgYHTqTGSiReLxgFrO5fHZlY0f1I8yqfWPHJPTmvE7VJ95bI846QTXqeQwahgTk/oSZQMksh\nawZRr0B6bkhjVbWqXmIlSMh4xAoAE/MTzawpgsTKKPiKnpjGirvXNEXzIVb8fB+UMuxJ7A27hbbi\nbW8Dnt/UGrEiPjwYfGLFw+KtwrUVuNI8qgLNPasKjKLC9jQKtYLQDTkYvLNtqyC0g6i8VuJ1QjVE\niBW7gQWJAe2sgonVeGm8gVhxdgv0gLiuC9u1Pb8lbiKgBK+ZxqpUK81JY7U3qMCKVWGO8POJVohn\nzamxiYW0RES50WRL+gJKrCzHQjaRZYkViddJR0HXUmS3QAtEkArkEatSrcSeTYqoZECosZKjESvL\nsXz3PG3OgCaIVaAqkJzXIxErS4BYcRYWjCYTiNdDiFWExkpUFdistDuIUokKAQBvE9iT7PHaq7gN\nkTzRs7yBpah6FwBLIJmPlZHDUHqopcYqiFjlq0XY1TSefRbYusW7ppPTFr79bWBk3MDu7Un8989t\njI5ZuOwSFWef7SU8cGWsOUzG/vsDAwNAKgXs2qHgs5dqWLMGePIJBdWKgksvBTY9K2NswsTYiIKd\nr8mwLAf9/cC6dUDvUBkXnJfEqhUxfPLyGSxZkMJdP/bO8cIPy/jwh3R84EMG7roLOPMs75g//HcW\n9ISJd5+t4pRTgHRCR0yJYcmCFDRFxabxTfjaH74mvEbFWhEpLeVtPmzTVxVIC3fZLCNfy3udGepz\nmsjLjZIY3m5hcediLEgvCPlJ0f3B9E1qA7ES0XKspQ2XzLbysRJSgYE5v5XGyide5+aNhJZATImF\nECtFUtCd6G6I12slhuDxVh4xJTYnKpBP9GzX/v8HYgV4idVl35ex+oAI8bqsIFfNsWqnYMiSzOB6\ntpC0URXo2h5i5TiA6zYcVlvFnlCBolL+vRVBsV9UGLaBGMK2FcGgXS092DxH35QKjNBYiR4kCoKA\ng4mVC5chHyLEihYX8i+hYIhVhMaK4GzR4iBChQita2VQKYpirYiYEmNQ9NKupfOmAl24TNcjOhYa\n/x+f82MMpgfDiJUjQKxcG92JbjaRUbIDIIRYUVUgTbLU9zF4X/Maq2KtGDLWo4KUdn2sgMZiwQft\nnimI1iTvtKB4XaSxYk2Ym9gtqLIaQqyoYpGStVaIVXeiG73JXt/xz0W8Hnwfr6syHRMy5JDFQMks\nscWIzoO+hxIrkcaKnisArHEwjX/eyGMoM9QUsVJllVUFfukrNj72CLBpaQHJ2Qx+MgEYhypQViSQ\nL1h4ahtgDBpQpSRSaRuKbeGEYzXslwW0KRkjoxpuuw1Ipxt/DrlFwVXv1/CBNcDptyt4dIeKRx4B\n/u5uGU+OWDikX8a7DpTxjT85uOS93rHd+p0yjjsqid/eF4OWmUU6nkRMbSQTZADKjwXvYwV4z0NP\nogeSJEGVvaa9o8VR4bNYqpWQzja8lXg6nIo+ePqdFvIgHR40CCWEpkPvwKsXv9q0zRtPBZItCr+O\nxpQYZioz7FkFGtRqlMaqXfE62WdEaax47SRDrOrzhqZoQsRqcediVnzluA469A4YthGmAtUwFei4\nDko1zw2fT6z4DT8ApsOrOa9PYrXPEKv164FXXpFhmBF2C5JHBVJT0mCEEKt2qwJtFY5kQZI8L612\nY0+oQF4gO9cedq2iUCu0RVe1q7H6z2f+Exf96iJoisZ29TRxNtP4BFvaMCqw7ikkGjeCgPnEit8x\n84sqD+nyCxx/TnQcUZU7BCNHUoFBjRW3W2s3bMfGtfdfywTPhmWETAPnGjxVJ7r36LzfsuwtrCcb\naQ4JcZitNjRWJFjPxjnEqp7sAAiL16lXoACxEmqsJAWFWsE3QQINKrCVxuojaz+CoxYexd4j0ubx\nVCCPvjDxeqClDduR1xEmRgU2MQglKpCKKnhvMLqvReJ1HrE6feXp+NZp3/Idv4gKpGNttjkMUoHN\nEKt0LA1d0TFdmUYqlmLHGkKsBFQgwCFW9SIiAOhJ9ogTqzpi5Zgannnee+2SpTZuvhl413lFfOvG\nNDZtAj71SQUrB5aif4GHWCU7qlh7WArHHW8jkbJw7jkeYrV8mQJNUXHYYfAhVpEaKym6pQ01LKZk\nIqWlfGgo2TCIxoKSAV3V0Z3oBuAtxDPVGc//qO5BxUfRLDIvN9PxNwamJL1UKyFv5MN2Cy0MQgmh\nESVVNCZ8UsMjVj6akcTrqu4bw1ZUINmp+L6TS5CCGitfYiWgAoMaK03WhBqrxZ2LYdiG1yMxlmLF\nMzzNLKQC63KMnJFDX7LPK+Cpu90HCyR4xGrDKxuw6l9X4T+f+c+/vMQqnQZWHaBg90gTxKqFeN2w\nDEZBtV0VaClwYUNVMSed1Z5SgTQZ7m06kBr9top27Ra2zW7DlpktTGuR0lKYNWbn3ISZR6xkSRaW\n8hIEzBIrs4jhzDAAhFra8OJ1mvSCWiqR7UNwrICIxEqAKvKTnuu6eGznYy3Hr1Ar4JoHrsFIYQR9\nyT5U7SpKZolpSeYTLROr+nlT8IgVJae5ag79qX5MV6aZ5qgz3om8kWe7Z3oGefE6IVYnLDkB6/db\nDwCM5hBqrOrXjSrj+GALYAuN1TtWvANDmSH2nnaoQPp5FBUYRKwSWgIVs4LZ6ixr0cJTgcGqQPoe\n3nmdENUg+pOr5oRUDT8OdBw0sbdCq+h9vqrAKI1VrYSUlkJcjWOqPMUoYkKsOuOdQh8regYAMA8v\nRVIwU51Bh97hIS4i8bpl4Okn43h1i4aOHg+xOvMsG0ceCZTtxuK3ZnANzj343HBVoMBuIShcp+vC\nkI+ADi+qQpISG13VMVP1jCD5xZ1HrHwGoXxVoKKze0SVVYb6kp3Fzzb/jCGoxVoRqViKuazzVGBG\nzzCNJyVW9N0hxEoJt7ThERpRMMTqdaACTdsMJWg0hkEqkIpemvUKJAbjhsduwO2bbvchVj4fK1nB\noo5FqFrePMq3nuHHI4oKBLznsTfZ6811nN6SxgLwJ1ZX3XcVVvSswIZXNvzlJVYAcPQ6Gbt2R9gt\n1M0Km2qs7AZixcPYzcJxFDiwoShzTKzqQrb5itdJw7K36cC5aKzaQUzGS+PYld/FdhjpWBqz1RaJ\nlRPtY0WTsxCxssKI1eLOxQDAqECeh6fzpEkvSC+SrUMUYlWsFZm4MhhR4nVqfbKrsAun3356y/Gj\n3e+z48+iJ9mDqlVlEH47VODNT96Mm5+82fczPjEo1AqhBJnOm8KnseLE60u7lnqJVT1BEInXgQZi\nZTkWQ4DetPRNePvytwNoTIrMUZ/bebaiAoWIVUR3BSCcWJG+LiheB7xryPc25FvaiJzXt85sRX+q\nnyFrQSpQJF6n+1mosXI4xCoenViRFQQlMhIkRtk1i2AyxeutRN5NCS2BqcoUUlqKnXsrxIqSa1ro\nZEnGTGUGnXqnbyz4MCwD575Lx7L9NKgJv8aqVCsx1mHdwnX44JoPsu+uWtVIuwXRWDRDrJqhdwyx\nqs4gFUv5kolmiBVLrDjESpVVzFQ8pIoSq4s3XIzNk5vZ+RJiRfYO9DlpLY1CrYCSWULOyPnYBpFB\naLAJMy/WFoVIvF6xKiEKj8TrQcQqigok6l9EBYrE67ZrCxNFej39bTkW/jz2Z9z1/F1IaBxixSHd\nHz/y4zh+8fFeYlW/l/jEionXRVWBdaQ5b+TRl+pD3siHCkREiFXOyOGitRcx7dXeiH2bWB2lYGzc\nQbUmdl4H0BqxIo1Vu1RgHbGaa2JFnjx7iljt9cTKKPgWmaiYS2I1UhxpTAb1xIoa84pC1EYkhFgJ\n/IhoZyVMrIJ2C5x4nR4OERVIGivRsRZrRQykB9oSr9PCRyapuWquLcqVkr9N45tYyTslVi7cptf/\n8Z2P46O/+iieGnnK93O6fxRJwSd+8wncvul23+8pmaDwaaykhsZqadZLrGgRSqgJVKyKT7wOwNdI\nmRAgPiRJYnopPhklapeoQFFptoiyCS4qfASfGR7toPAhVhFNmEOIVT3BXpZdxlzhQ1SgwG6BFnT+\nO0JUYJuIFSW4dL1EKE3wfSGNVROUJq7GMVmeZBtCEq936p2RGiuGWNU1VorsIVad8U7muM/Hf3zP\nguMAd/9cRV93w3mdT56CyAW7hnW7BSFiJc8RsYqgAn2JVZ0K5N8nQqyoYCeosaLjJwpwrDgG13Ux\nXhpn5827geeNvG9hpnvJh1hFiNdjSsxfFVgXr7dCrJjVAWe3QM8l/9kFo9GEGYBvruDDdExma9OO\neJ2oQFGiqEgK06TRhsxyPaQ0rsSZDQSfWL3vsPdhMD0IwzIYYqUreki83ooK7Ip3wbANVMyKL2ln\nGisOCctVczh04FCs7Fn5lydeB4DurAw9bmN0TKyxAponVlWriu5EN4Pj2xOvq7BdC4qCOVUG7gkV\nSBoPkRB3T6NdjZVhGW0lVmOlMZ++IKNn2kKs+Ma3vIiYfi4aN0YFqklmELpmwOuXkNA8czuReJ1o\nk2BiRYtTM8SqP9Xva6xLEUSsiF6jSY12O62CrgXx+lPlKdYvjSYuWRFvAO7YdAeWdC4JIVJ8YjBR\nmmB6KQpKJih8Giu5obE6YsEReGbsmYYRZJ0OC8LjuqpDlRqIlai7uyqrDNXxUYF1mwxCB/mgZCCI\nLAR3t3wEE3JKCISIldto2s5/Pv/88YgVAOyf3Z8dG08FGlZDvD5SGAHAIVb1RYgXr/OLUs7IYbhj\nWHg+9F08JUmJFT/hOw5QKAC5HJDPe3/XDBlly8RP7lTwWF5GwbLwh0cVjN4jY0vCwXvfC5TLwIur\nSvjwB1MYPSSBj186jdklKaw5TIHxbgf/cn0ZdqwDhSUWVq0CZo+ygWXAV6+zUFxs4+orFSxfBOSt\nBMZSKiRXwWx1FplYxo/eWcCXvwx861YD8Q/qWLcO0F7UWOELjzQHF1hK4hzXga7qqJgVP2IlzQ+x\napZkxmQPsRrKDPmQMd5rj0de6VgBLxGhxEpTNB9iVTJLqFgVPxVYT96CSQKvsapYFZi2yZDfYBPm\nq0+82vedpm36Eolm91WQCjQsg/ncAY1+oiGNVQQVSKi90MdKgFgRrRwU4/PrMxUY0VwXV+ONqsBu\n/7xB50F6OTqnZj5WRHcC3kYnrsTRoXdgpjrju7d4xIooTEKcz1x1JgZSA5HjPZfYp4mVIimQFQem\nbUNRxYhVMyqwbJeZsK9dxMqx549Y7Yl4nW7c1wWx2ot2C+OlcQCNGy4dS2N3YXdrjVXd7Zp0ZD4q\nUADRA2IqcFHnIgBolMPzVGB9MeUpp7lqrEhQTvQQRRCxIjSG9A15I9/W+PELPo9YpWIpNnFpECMT\nVHkV/J4gFUi7Y3beTrTGirdbWJZdhvu23ccSAR9ixYvXCbGqU2sdcgeCQeMSXETpupRqpciqwOAC\nGNUPlM6lFWJFP2MaqzabMANePzr6Hp4KJPG6ruh4ufYygEaCpkqNe5pQPb69Us7IoUPvRLHYcOXm\nHbofn5TxYs3F2DM2UFZh98p451kGcmtVLF7sJVHFoifY7uz0/nR0AIX1MizNwoubZZS7ZNiaiURc\nwZIeGcmKg9NOA5JJ4JEXyvjsp5O48rkETl43hT9OJPHtv5ex5i4bZ7y7DF3pxH+9bOInPwH+8Qkb\nP9wGHH+ihedeMzDYp+OVV4BRNY47HlYx1qfg5V+XoO0XxzefSWFrdwlXXul1zujvB371GwMn3NWw\nBaBOCjzSLEKsKJEgSmhvaKwUWfE57jMdYL2qdbY6G0aseCrQbZia8sccpAIN28BgehCjxVE2X5J/\nV8kssTYrQSF2Rvf6hVatKjKxDKscJr88/hnmW/mQjUUrxIrWl6B4PW/kfVWBNIa+qkCpNWIl8rEK\nIpCkmRNZqPAJDW2YLMfCmsE1WJBZgFdnX0WumgttyOJq3KvmNj0q0HEd5Iycr+o8pLGSGlSg9zx2\noFPvxFR5yndv8RormqsJ0f7iW74452rwqNiniZUsyYDswLRsKNrcECsSmFJVTbvidduau8bKdd09\ns1sIaDz2ZhRq86MCt85s9T28FGPFMXTqnUKNVRTaxmt86OFsW7xepwIrVsVLrDq8xIovFQb84nW6\nFkFbhXY0VplYhn0ff28FESs6fjLnyxm5tsT//IJPiRXpLqISPopCrYDuRHeoUavrup4hZV0UTpP4\nrvwu3L/t/hCNFPSx4qnAqcoU00YxxCooXhdorIKhyipDdURVgSWzJKQCRXYLc9FY8ZM4BY0p34JH\n1NKGn8xpwaNnwIdYyQ3n9VQsjdlyEa+9BkxM2thcUbB9XIFpqJiuKPjKvzj4k2ShFtPxT19w8KVN\nwJaj8vjhEx34+1f9rtz0p9IrQ4076OmzMJhSsHlaxic/XcMnn9Hw0ENeIpXJAEoAgF92g4zdBQvX\nXC3jrhdkbHzYxLq1Mv5qtYz77vYQKwD40IslvOnYFLp3xKF2TKHfSuHgg2Q4dzpIZCpY3NkH52XL\n6zO3zQa2AQeursF6rYbLL9EhScDkXQkce56KHzwr4+COMjbtjmOpmcY9eQ8FuOkmr7J7tNigh/gF\nm/nPBZAYdl/VNwOUmAc1VkIqUPY3YW5FBZIuVpIkRgWSkJ8+w0cFcrowHmWLq3GfeB0Alncvx2hp\nFBOlCe+7AlSgKqtCKnCiPIG4GvclOqLEig/ebqElFeg2XM8psZqtzvoTq/oY8uL1ZhqrhJqAaZvC\nY6TNYs2uQZIktk4EN0vEJFCosoqa6fkEXnnClTj7wLNxzo/PCSWjAJjtDxVlGJaBqfKUbyxaUYG9\nyV5k9AymKlORiFWxVsREaQKdeudeS6jY9+zVT2sRsiRDkm0PsRJUBQJoabdAO+d2W9o4tpdYzaUq\nkJI2ShL+t2isaBfRCrFyXdeXWL04+SJO/O6JGP20nxIzLK+kdc3gGl+PO1owm1KBnBeQ4zpztluY\nqc74ECuR3QLB5oQeEhpDfjLByToYNDERQuZLrAKIFX0WIaJ5Iw8XbgjpCgbpEAzb8CFW6Vg6UvtF\nUagVsCC9gPmt5Ko5rP7mapy96mwfYkXX5l8e/Rc8tvOxEBXoQ6xIvF7lxOt1rVBCTSBXzYXF6/UJ\nN0pjBdQnRk5jRUknIZSixCoovp6Pxoq+x6exqhttNkOsNDkG25IxMemgWrPwzJ+8SfiZ+/fH1p8D\ntiXj0UdknPEfwMYlCsrxKi69S0N5Ig2sKeLRTwOFky1sL6ioDqhI6BrcpIxsj40u10LRjuGss228\n7yrgwkdLuOLSNE5ZJb7O974qY/xBB6v7bSzLqvjZvTIOeYOBxGYVS5aI38PGj6NSWwm2E6onXiek\nHQCrUOU1VhIkhtLQgkJohioriCXLWDys4yMnpfD97xTx+U82jokXNNN9wm/CyIqBwpew1+khogV5\nxFBEBV581MVY3b8aQHtUIG91IBKvRyFWJbPkSwo+e9xnWZUqvXdF9wrsKuxiiFWoKlDgyZSOpTFW\nHEMqlvKKWeoJCfmNRT0DzBCTsxcQRZTzelDzx9tI8JsJIRVYR6xKZtjwl77TdmyW9PCJVpAK9CFW\ncgOpZN05BOJ1oI5YWQ3EqlgrYroy7RuLdCztSx75DV/eyENXdJY8CTVWsRRi1RgmyhMetu2RAAAg\nAElEQVQYTA9GjvF8Y99SgbICSfaoQG2eGquYEkNVrrIHq1W4lgrHtaDNAbHiH9A90ViJBNx7Eqwf\nXQvEynRMuHBZYvTkyJPC6p7x0jj6Un0YTA9iV2EXAK+SBUBkYkW+ILz2IUgFRonXecRqV2EXirUi\nlnQuwZmrzmR+TOTxYzkWS1hIQ0Aiatu1oUqqzwE+CrHiEys+ohArngoE4KucEkXNrmF593I8N/Ec\nepO9XqNjuGwsmum0CkYBq/tWY6oyBcCb4GcqM34q0PCowIJRwK0bb8VQZoj5KlHwyBAhu6ZjYmHH\nQsxUZtgmhJA7nioD4KNomiJWdY0VJfi001QkRbi75pG0oMYqivIPIp2m7Y3f2JSBp5/26LVK1Ybs\nxnDTv9l4oWLi+kc1FPISnutxcfCXge3LbVTzMtAt45c5B/kjLfz7N5LAOmDXs/tjKAvICRmDAwo+\ncAwwskPBlnIVV16tYeVgGl/9YxG//z5wzo9tvOcgBQ9uVxBTVNy7TcEFpzvY9DsLhSkd+6+wsXo1\n4DxeQVcqWvTKU5I07u2K1/l7QZRMEFpAC+tkeRKDqUH2/ryR98TrXEsbXdVD9NfHj/w4+lP9+OFz\nP0TZ8vpHpmPpkHidFzTzC3Y7iBVZphDySUkdT/nx8d5D3tu4L+oaNzovfizJKzCYWBEFHLRbICSc\n72/IjwX1aqTjB7zE6smRJ31UICU19B0ixGqsNIaklmTJLXlZtUSs5iJeN/3i9SBiRd+jKzqrJqW5\nIojKk8aK7BmCQfN9ySyxzS5VEDajAtnGzfa3lwnaLdBx8ohVTIlhquJHrG5/1+0+HRn/XblqDrqq\nI67GUTAKkYiVruqsuGNvx/8AFWjDtGw880cVt+4GPvQh73ftaKyoKpCvkGkVzjyoQN49d28gVnds\nugNT5Sl89MiPzulzgkEccivxOu2m6KHZOLIRZbMccg4eL42jP9WP/lQ/xkpjABqJbVSvQILw+Ukx\nSAU2s1tIaAmkYinMVmdRsSrojHfip+f+FEAD2qbJWVe83SXvDUMTtSqrTGPFWwDwwSdWQfd1ocZK\n0VipM99nSod4Zwl4ScKCzAKGPk2WJxtNaNulAuvXiVrq8FWBOSOHilXB3S/djVW9q7A9tx2deqdY\nY1Uf9+nKtEfv1pEcEhgnNE9jReJ1virQtwAKECtN1phFgGEZvuov0lj1JvyO4ySqp2S7VHbw2mvA\nzpEakk437hwPa5J29cv46wscVF+r/8w2gY8C377FwG+3edRa9XgLsqQjV7GhJE0ctjqGdMZGacrB\n938IfOsVBwNdCnYUZBwx5OCSeyzc/ZM0bnz8alx9YhaSBHzjizIOXCnjrHcCN/+XjJfKBvp7NHSn\n/T5WtEAwu4U6jcUb6FIFcVTQs8CL6oPi9aj30d+80F6E0kiShISWwK78LizrWsZemzfybAGiY6Aq\nMX5Be8OCN7D3lM0yOmIdTHzNzxs8YkXHzyNWQfE6L1omxCpoNRGFWPERMggVJOx8YkXHwGusmN2C\nHdZYNUOPAGBFzwqMFEZ8iFXZLLMCJ5HGKh1LY7w0jq54Fzr0DuYtyJswi4I6OAR7bwaDidfrLbQo\nkQjKHhgVqOpsoydLMg7sPRAf+/XHYNgGPrL2IwAaze6DKB67DjxiVUcDRVWBlETz7+MTbDouwzZC\n50gaK5q/ddUzvuXPKdihha6xKqtMjxVX4yjUCr75jKevaQ7lE7S9FftcvA7JgWlbmJ1RcOlNwLvf\n7Qk154JYUabdNhXo2nOqCuQX8r2hsXp56mXsLuye02eIolAr+DQCUcHbFADAU6NPwYUbEpaOl8Yx\nkBpAf6rfp7ECwLRswWQs5KEUQKwo8Y3SWMXVOFb1rsKXH/kym5TYZ9WhbYLJaRLkJ0wenaJjCRqH\nUpADeiqWCiFWJHIVaqwck/Xaa6Wzoh38tou3YaI8gbJZZsLXVlRg3sj7NFZEcfNVezTBTlWmcOjA\noXh69GnmWsyPGxlxKrLiJVZ1XyVN8QTGzG7BFIjXVb94PQqxovE2bQdbX6tCceK4915gdLeCyWoR\neTuOzzzYSJJeXS5j5+MmakUdlW4Zb/uSg74aUHmTgawTw0SloUfq6wNWrQJ+PynjtA9twh9yV+Oe\nd9yJaVg45N+Bv7/IwJdP8o4l80Ub6VgCn3y/haf/u4az3q6hZru4514Hq1cDid02dM1vtxBTYrhm\n/TXsfILJSlRLGxpTXhZATbDp2rZqhcESq3qiRpvEdhMr/lqJ6C+STxAVSP8nxIrsAOje0hVdWMVJ\n7ymbZfQn+5lAmMrXgQBixWl3GGIVmGPoeAnt5MeaIkpjxUdQY9UOFQjAh1jJksw2awBHBdbESQTg\n11hZjoVNE5ugSAoqZsWHKKmyJ57mxzQTy2CiNIHhzDA69U5UzApKtRLTj0YiVrLmCe/rDvqRY8KJ\n13sSPYircYyXxkOaIYYsKjokSOy9lx53KVy4eC33Gnut6ZiMQhMlm7QBI8/JKCowJF6XG10QeAE6\nACEVyCNvhFg18/Siz6TuErqiM91uELGidYe+v5kH3XxjTxKrcwBcA2AVgLUAnmr6ajQ0VpZte82R\nXeCf/gn4ylfa01jRwzlXxIrsFvYVFcgjVrbjmafla3n2+2a7FT5c18Xym5bj6QufRkbPoGAUWJVb\nsyDKzXK8vndPjTwFVfYM7PhJb6w0xhArvioQAEtYiHYDgKdGnsL5Pzk/5KHEa6xo4YjSWCW1JNYM\nrsGW6S3oS/X5fk8PHyVgVEHDI4g8OtWOxmo4MxxJBfK8PKFftADxiFWzINEmCTn5MWyJWBlhxIoo\nXH7hr1jehJyNZ9mOTORjRWjheGWcwdtUueVDrOribrPmPXOvbdWxY7uKWtXC1oIJ8zkNz34/gCQd\nqWL3swZqxQykjIPTr6tg9h1xfP7zwM41CirJInqlBPr6gJUrvYTp+a0KVh5kYqBTxrPTMq6/0sHR\ni4ALf1HD4Qt0XHhEeExu/JaM7kWj2DXxAoaGgPyk2MeKFnNCQqgiDIAvceSNOfkIitd5HytfS5v6\ngk5JAU9TixZ0UbAEzw1Qga2SCY764o+Vf7aIkgHgc16n91FiRQsiWR4UzWKIgqHPL5tlNj/1p/oZ\n6kLXIUpj5bpuqCsA4D2zFbPSQKysMGLVihYNIlbByk9AnFhRdS59hg+xcjiNVQRiRd/ZoXdg7fBa\nbHhlA4Y7htkzSeuVpmjI18JUIHnjdegdoarASJRM0UKaIlEQgspTgYVaAUu7lvo/j7tONFZ0P8WU\nmG89MW0TmViG9RYMBk8FpmIpNscFC1KCGiueCuQ1VgCE4nXDMjBTncHKnpWIKbEQYhUM+q6ueBe2\nzW5jVKBIYxW8R14PKnBPDEKfBXAWgAfbfYMie4iV5dhwbAVXXQV873vAE0/MEbGS2zcItU11zuL1\nPaUC+V5ljuvAsAw2WY8Vx7D6m6vb+pxirYitM1uxM78TgIdY9SR7miJWn/v953DP1nuQiqVgORa2\nzW5DSkthIBU2yiQqcCA1wCY2fgcW1AhNlCaweXJzCC0JUYGyWF/G2y2s7l8dutY01lTmSw89Vb3Q\ncfkQqzY1VkGtiIgKJMStZtdYItwSseK0BTQREZ3dUmNVv548YkWfSagf4N2PhExkE1nMVmfZNXBd\nQIKC2YKJmSkFu3YqeP7VKZSmO/GlLwG1qoZrvlDB6G4FV342gd8/UMH573Nwz28UvO+vvefn2qt0\nPPyggj9vsjE5baJa1tDXBxx9NHDBBcDnPw8sGtJw+JEG3n2WiiPX2bjn3ipWLkvgvvuAE45T0T1Y\nwtvfGscllwB/+7fAWWcBnR0Kkh01dKYVqEp7Plb0nAcRw6CPFdEaIvE6j/hRItQssaK/o5zXs/Es\nsvEs2ygRAkYLM20YooL6GPKI1VyoQF4P1wylSagJr1dg/f5T5Eb/VSrKoKQ0qCuiICqQFn1KrCia\naazoeQxWWKmyiopViUasInysgsfFJ1atxoIlViKDUA6xiimxyLGgYwc89OnIoSMxXZnGks4lviIV\nep1IvA54yV2n3omMnmGJXbNnQJM1jBRHmiYSdD6O66BqN8TrQBiB4a8TT4sCCDEgJF4np/ZgBMXr\nNMeJeh8Gr3HQZoOOS+R/p8oqJsoTHmIlxzBVnmqaaDLEKpFlG+4ojRUlw69nYrUniNXmub5BluQ6\nFWjDdRQMDwM33ACcfz7wjZ/PXWPVjkGobXkL/Jw0VntIBQY1VoZtsFLQ2eosduR2tPU5I0XPqHB3\nYTcO7DuQIVZbZ7ZGvufZ8WcxW51l/P5ocRSLOhdhsjwZSqxmKjPoTnTjiKEjmIkmwa2ixIrK/oPC\naZF4XTRuvGZg7dBa/GnkT77fUzJGzT9JME07MjouOqZ2NVYpLUwFisTr5GNFVYFA64bMQWpEgtRA\nrJpQgYZlwHEdpGNpmLYJ1wXyJS+xGps08GJFQrXsLSCbX6lg7PkSpOIACvEuILEbbzohhtlRD1Gq\nfUjGlnwNSaSRiinI902jUxrGjAuoSQ0HHFTFpqKK/+8DCXx3RwUff5+DH22VcdFVMk79AfDzn+j4\nyQsqSqaBTeMmPvgGDWcEKtxSL6iQ1BriMc1XiUTnWarNsSowqrFsXXyfM3K+8a/aVfYaPrGJcl7n\nnaXJxyt4bDzVRtcv1CuwTpkAwJ0v3NlArDgNYtuIldNoSdNuSxvRsfLWErTAAd7O34XrQ6yo/yo9\nN5SUBjVW/HfyiFVfss+fWDVBrKIq3dpCrNpA74KJVVONVf0YfeL1gMbKcR2WZEbdj7xx8pHDRwIA\nFncuDlGBTGPVHU6sCLFKV9ORPlbB73xl+hVceuylzcekjqDyBqFAWH/Ei9crcsU3hnyVJNCwW4gS\nztMczRCrqKpAgd1CUGoQhVjRcY0WR31U4JrYmsix4KlAOte4EkfRLIZ8rEKI1f8yKnDOIUueeN22\nbbh2DKoKvOtdwEMPAddcrQAHzU1j1RYVyGms9iUVyBsK8ohV2SyHkoWooGSH9FmFWmsqsGbXsCO/\nA5mYZ05Hk11SS4aMJstmGQPpAazoWYFPHP0JAH7EKqiTqpgVrOhe4fsMHrFKqAmGHojMUQu1AlsE\njhg6Apun/Lk5IQK8PxJZQjCNldS+xopokiAV6LouXLg+KjDkY0WISTtUYH0xkSQJuqojoaSxYwdg\nmwoeftTGU5UGrUZ/ds8WgFUZvPevNGxfYyKRANzFNeB84LE/Gdiek1FaJgO6l5Cq8RKW9aZQMLPY\nXAb+4zsaFvZ7+qTjb1OwosfEUFpBQlNwx6YZHLf4YHz5TOCO6zWsf2sF992v4OgjEvjeWBld3Ta0\n1zjxen0n20pjxftY+RKrelWgyKV5rs7rlHSQcV/Qed11vTZBVPVFu1NZ8vcKpGSERM5BFCVIrwHe\npBtTYnDhdRIIIl30PDODUMcWCndF58TE63OsCgweK/1bVAnHENP6jlyRFOTNgMaKQ6xECwpRgfRZ\n/al+5t1E1yHKx0pkKEnHwSNWRE3z3zkfxKpdKjASsXJsxNV4SypQlVXoio61w2sBeInVTGWGtVyh\n14mqAgEPLDh04FD0JnuxZWYLDMto6uWmyRpSWgqfOvpTTceE5ksCAugcgggML17nKyQBAWJVrwos\nmSX0Jv3FKPQ+n90CUYGBZ3q/rv1wwWEX+N5nuWLESpTgx9W4L7GaCxVI5xpX45guTocSvH1BBbZK\nrO4BIDJ5uBzAL9r9kmuuuQYAMFIYgTmSgzVkw7EUaPV55etfB9af513omBSNWLlwfRqrtsTr89BY\n7TEVyBkUBhErQn2mK9MY1qLbYABgrTUosSrWiuiOd4d8YPio2TWMlcaQjqUZREsi1CBqw1NsFM2o\nwIpVwXGLj8PXT/46+xntWApGAcOZYR9iFUSRxopjGEh7LQPOWHVGaGJn1Gk9GSQbgSAVyPf4aqax\nIkQrWBXIquK45E/kYwUA23eYKGz3J0V8JdsTioEpN4aHL/P+X31/HPf8KoVjLgcmzlXxr/fZWBRv\nGEf29gIHHACY6QKe2taBL39Rw+VP1vD0DPDwbgNv+z5w9PFVnLdaxj8/pODlaaB/uIIV/SW8eWkS\n+Rey2PwSsOYQDXr96aWFmlAaqgoEGhorZrcgEq/Xx5pB+oJFRpM1lMwSQ/n4fmTNDELn0yuQFj6+\nrRCPMkiQWJsOSlBCiFWL6jsRFUjVrvSsBJ+PoMaKmTNqiaYGg3RsPLo2JyqQu1YijRUvXgfg2xQC\n8FE2pLGaqcywZ5EPRVJ8hpkhKlCAWOmK3mjTEoFYUTIVVRU4V40V/d0qsQrZLQSqAnVVR6lWivQy\nUmUVmVgGkiRhMD2IL7z5C+hL9mF3YbcYseLuF13VmabnjFVnAAB+9uLPWLPmKMZl3cJ1uOs9d4U0\nqKIx4Tc5VAQQRKx48XpwDGk8JkoTuG/bfS2pQLqPKKlUZIX1WuRRx654Fy477jLf+3iEmcYMCFOB\nQCOxyiayrCqwLSqwjlgRFRjUWK3sWYkLDvUSPkVSIEFCZ7wT999/P+6///7Iz59rtEqsTtobX0KJ\n1TOjz+BHN/6BUYGUWMViwHVfU3D094Bzz07hrh8B2az/M3ixHS0C7WqsiApstypwryBW3GJi2H7E\nCqgnVk36iwEeYqVISgOxMgrI6BkGJ4sy/Zpdw47cDqwZXMMWQKIthImV1n5iReXFfEJE5zhrzCKb\nyHrtP6RGaxU+xkpjbAIbTA/ir1b/le/3hAjQREHoRcWsIJvwbgjymaJzbaaxMh0TqqxBc1PYOV7G\nU095SdHuSQOKq+Mb/yZjynTwgQ8AL9g1vNypwS5ruOemGvJH5oFYF86/wMSgFHbTTvdPwVn6Jxyu\nGTBUHVf8g/fzw38Qx6lHp/Gd24GDv6Hg1kssrO4PX9s/jxXQ95MMVq/S4G70ECumsbIMtmjIkmeX\nQFU4NHEE6Vi+V+BsddZXFUiNSIPidX5ypWsdtZOmqkCaIHlal1AsEWIlamnTynmdFr5cNRfSWJEQ\nPVjGH6Wxaiex4qlAwEtESrWST5xM7+GpQMd1WtKA/Pt4PdhcqgJFiJUomQhq/AihYTYiTqMqUNQ0\nGxCL11+eepn9vhliJeotB/ipQB75ZN8pzb0qkH62RxorDr1rVhXIV6NdfvzluGPTHSGNlaZoXlWg\nYD7l7w9d9ca+WfFST7IHJy8/uel40Pkw8Xo9OQm6vAMRiBWvsbIMPDXyFK5/7HofFSj0sSIqkLNb\nqJgVxJRY080F3wWB7htWFSiiAhWdteYhdLodxIrWCaoKLBj+sR5ID+DidRcDAHPo79Q7sf6N67F+\n/Xr2umuvvTbyu9qJvUUFtuUH3xCvW3AsFSr37emk1yBzzSEajj4auO02YO3axu+ZwJQ0Vu2K1636\nhKQ4sO3mr//Ehk/g4nUX+3aq80KsAuJZwzIYAkJ0HHVMbxYjxREc3H8wdhcbVGAmlmGibtEkZjom\npipTjR5udQddAKHESrQo+KjAgABdRF8SFDxTmUE2nvU5rwdRpLHiWNMmlwzhq1dNSpAYFbggM4TZ\nWUBx4njyGQNbTaBmmfjOzRqenVSx41EbD1zvR5W2rDdx0rUalJVJJPQyfr3DS35SfWUoByRRrcmQ\ndQcnnggMyjXoxRiyKQ1veb+JKx7Noz/Vjx9tsHD4gvCx/uLFR3HdY9fhrUvfirKpY3W9HiGhxduq\nCiRXZdJ0AWHxuizJ6E50e2Z5dWSiK97lW2gBP2JFyG4IsQraLcgNw0XWb1GglaCgxIoE/0GNFRCG\n9IPH1ZbGql6hB3h6xCBiRbqnIHXJ6454FKutxIqjAgEwxCr4fBAKy2u8WgnX6X0u3BBi1SqZiNJY\n+RCrgMaKjp/OixJDprFyxD5W/HdWrIoPsXpkxyPs97yOSohYRaAczcTrvcleLEgLHjIuCI3lx6UZ\nFUjHGGxpQ3YqRM2SWWozKjCIlFDPTX7sRVQgAKbxpKCxj9pYzCXo3PlNTlyNh6lADrFivRflhgyA\nWAFq9p7UkgzZDAZRgeSdRTRvq/NhGyHHbxAKRCNWAFhiBaAtu4UgFdjKZDWmxP7XaazOAnAjgF4A\nvwSwEcApzd4gSzIgeboEngoEvJs+HUvjuuu8hOr00z2Pq2uv9RZDH2LFaTdahW3XXWY1u2li5bgO\nbn36Vpy+8nRfArHHGqs6/1wyS8zMDfAQq1YxWhzFGxe8ES9OvQjAW4x7s73sYRAF/TyuxlkzT4KA\nQ4iVGU0Fkvjwj7v+iGXZZTh04FAhdUhUIHmORInXbcfGVGUKut2H7duBmRnRHwmIAf/4pTJeTMZh\nmsAHbzUw3VdB7dUkrn4JqL5fxzW/qGKh4sA51sbzz6lwehV0ZS0ct6qC66dPxs3rHkR3N3DefSb+\n7TINf54YwmO7HsP3zvSO5bVcBcfemsBlfyPjv29x8MEPAndsquHVzTFkYjHoKS+RySaykVWBhCIF\ntQXkWM2PTcEo4Ip7r8ANp9zAXleoFdChdzCrAP7a8YhVb7LX03PUJ/FsPBvu3yX5ewUCCPlY8YgV\nX1xBxxxV3UNBSANRgUGNFRCeILviXdg8uTmMWLVRFQh4Pb+YAz/nzUbnGYVY0QZk3ohV3feM19DQ\n9QxSgYTiNgshYjUH8fpcqgLp+Om1/PPMfKzUaB8rQhl5jVWoKlCNRqzaFa/zSOApK07BKSuaLh2Q\nJTmEWMmSzCouaSwoCRJprBRZYShFza4xjdV0ZbqpQWhwQY+rcaF43YUrnE99iFUdiWmmyWs3mHjd\natDyIsSKr9YOUYF1jRUVjCS1pC9JE30n3fedeidDOFtZQ9BGKNjSBogWryuSwpzXgWj9NX0+0JoK\nDEZMib0uBqF7YrfwUwCLACTg6bCaPxloGIRatme34EusZIVNYuedBzz3nEfdLV8OfOpTQLHQKIkO\naiOahW17gy6rVlON1daZrcgbebZg7lFLG8ev4aFFoVgr+qjAVjFSHMHhCw5nVOBMdQZd8a6mJqF8\nYqXKKjO/S6iJeVGBX330qzjqlqPw2y2/retqEsjlgG3bgI0bgWpZwYbf2Hh1dAY/vT2Lxx5VMbpb\nwSf+QcGu3TaOPBJYsQLoWzIJq5DFkkUqjj8eeP/7vaT5ttuARx4BRkaARAKQoeCwI8pYuX8cbzhU\nx6WXGzj1zApuvdn73sMP0/Gd7xq4+1fegvrNb0g4Zp2K9W+2ccZ7Cni++BCOXGfiwAMByCaSuoaT\nl5+MDa9sCC1G/LVlPlayxkrWdUWPFK+XzTIz++MTkbga96EEtmNjd2E3btl4i+/9eSOPjB6NWFET\n5p5Ej7c7rgvxs4lsCOkgBJdHoWhy1WQNFasCRWogVjyiCjTodd42Ixia0nBeJ21RXGk4r9O58zGY\nHsTuwu65a6x4KtAxkYqlYNgGLv/95fjd1t81ECvX9iUrJOgmylxUgcZ/T3Ae4RGrklkSI1Z1Lx4S\nr8+JCuSSQMMy5iVeb4bS0PjzhR78ws80VvXWJlFUIAAfFegTr3PJE40rudBHiddbIVbtxHypQJIU\n8O+jRJ1oUVFFK4WmaKGFN6ElhHYL9Ds+0rG0L4mMKTGfL9ieBG3c+Q1yQkuE7RZkLXTNaDNB7AcZ\ncpJ4HYCYCuTF63Ufq2YVjux93EaoXcQqm8iyRBhonVh5TdRT7NjbTaz+t9ktzDlkSYYrObBcD7Hi\nqcClXUtx4yk3sv93dwPf/CZw+eXAddcBP/iBDLwBuGdDDPp+fki4Wdg2IEsKZMVumlhtHNkIwENx\n9pQKFGmsALC+b4BndRCMP+3+E3bldzGh42hxlCVWrutiV2EXhjPDoRJZPkKJlVlCTI6xnYXjAPk8\nkMsBk7kyXnouidIm7/+5HDA+6928l1+mYiKrYGR0F7TiMXjP536FahWojQ/gy5s8DVw2C0y+TcYv\nnnaQWz6L4mwX4hkNCUXG206S8cQuBzfd5L1ulz2Kj983iGcLzcfuHz8v4w1ry5jd5k3+vQM1uNMV\nZPTGLqpqVX0PMz20dO6T5UksyCxglNCy7DJ0J7rx5O4nsXZ4LaNvgos92S1MVabQGe+EKquRiBUh\nGsEkIa76qUASepbNsm8iZlRgG4gVOTanYilGt/KhyAqqtaofsdL9iJUiK0yrwPcVJG2EKquwXGtO\nVCDrFRhBBQ6mB5EzcnPXWNXv7ZyR88rUY2mmA+lOdPs0VnS8ewOxoteRxiqYNInE6/PWWNnG3qEC\nzTAVyGus+IWf+VjVk58oRAJoLKohuwUrQrzuNhevN7NbaCeEdgstqgL5ZtQkbQAagm2+b2IUNf3m\npW/G/tn9fT+Lq3G22SHNKJ+U85HRMyHEaqw0xrRAexI8FdgMsdIULdSGiCWZagOxYgUbWnRiFRSv\n0+e1SqyCGyGgYU8jeq+u6Ow8GBXYQrzOe3mxXoG1QtN77bzV52Fx5+Kmxz6f2Pd2C3Uq0A5QgZqi\n4cxVZ4bes2iRVzWIX8u4/o/A889q+OMGGVgH/PxnCgY2A4cdBhxyCJASFBQyKlC1m4rXnxrxjOMr\nVsUnliZq4mO/+hhuPOXGpgI99p0cIkATDuBN+M0Qqwe2PYDNk5tZYjVSGMGy7DIktSSmytPYmduF\npD0M2dHx5+cNjEpeMjQ7yyVG1RogAQ/eF0cppeKbt5RQtnWY1Rhq0xV8/AFvnDo7gYl3V/DtXyUw\npHj/7+wEOjqTkBISDl2t4r68inHzNZx6wDsgqUUk4wqOWpLAR45sHPNh31LwtU/aWHfLDL5+ZRb/\n9KCK0hYZZ52h4F9utXHUUd7rtm0Zw2AmWl9FwZd7U1Ia1E4YluF7QAkZCiZWfN+7U1ecil++/Eus\nHV7r6/ElMgidqkx5NB2HJgWDTDuDtJYvsZIbQk/AS5SpNQYt/q00VtlElr0+pXkaKxFixaoC5QAV\nKDfE69RPrlQrsc/nd7J8ohKMVnYLdO58kJ5uLhorngqcrc4ioSaQ0jzEaqbqUcYhvFUAACAASURB\nVKKEXpDbejDZIMRKlmTUnDlorOTG4jhdmWaJAP8eojN4bcrrjVi1amnTk+gBEEasIqnA+jWPamkD\nNBCrnmQPZqozTNvm01jVk0T6bL5ikI/XC7GisSCbDd6FXld1H41LEgXAj1iRvUYUgprUkjiw70Df\nzxKqh1gVjAKWdy9nn0+/4yNIBcaUGLbObt0riBXNL3wyJNRYiRAr2S9ep2duqjzVQKyiDEIDPlZR\nrw0da6CljaZoiKtx4ZrKJ4h07M0QK03RkNAS7NiJCiyb5abP2ddO/lrT455v7NtegbICF54DcZAK\nbBWa6j0U11wZwx92Krj0d8CCQRmPPQZ8+9vA5s1ev7ElSxp/Fi8GKhVAlRVIqo3JSS/5SKXgQ8sA\nYOPoRgykBjx0wCxhYcdCAN7DO1GawL8+8a9410Hvwvr91gMAHn7tYfQl+7CydyX7DMcBqlXAsh2M\njymwagpefMnBdL4KVdKw4b48npyqICl34dGNM/j6n4FiESgUvL8f1vKYgYG33gjkiiYmTp7B2oP7\nkD99IQZX7oD9/p1454kLUTwnhs/cWUOfDXR1NZKizk7ASdWgS2ksX6Jjqqzh6BPKSMRj6EolkUqU\n8fl7gB2FbVjYsRAH/lsFP7wigQN6+JGQ8Y0vpvC3H1Jx23dV7B6v4dhVy/HYrsfgKDGk9bB4vVQr\nMWohSmPVSrjOfx7pwigpDU4chu3vtUXoBSWwE2WPujDtRvL1hsE34O6X7wYAthj6qMC63UJMiWGk\nMILuRDejT0TRlArUGj5CRJHQGCzvXo63f//tqNk1nLjkRCFiVbWqHpVc1xhQqxJyXhdprHgUChAg\nVvWfUx8wqiCkY4/yo6GgqjKhxqoJYgWEk4FmGiu6/oBHBfYl+5COpTFZnsS0M42SWWJCZmpDI0nS\nHiFWIipwojwRaq/Fa6xiSowl1/sUsQraLdRKbMcd1Fjx8gpevE4LVTPEim+w3al3Yroyjb5UHwzL\naFToyhrzkau61ciCmr2BWB3QcwC7Z9qlAvnrQign4Ees4noD4Wg3EppHqU9WJpnXU5Re6KoTrsLS\nbKPFTEyJYaw4hoP6Dmr/5COCR6zo2v/zm/8Z6xau872uXcQK8ECBphorWUHNrPl8rOi8mkVQEwl4\nYxbl5cgnVu2K13mTVKIC+XPel/E/QAWKxevtvBegrtnev487Rsall3i/N01gxw5g+/bGn8cfB844\nA/itrGLVQRY+/Wng7/4OKJUATfMSrGQSkGNV7Dz3CSRH34wrHiqjli0jNZ3ErTuAkYNkmGoVWAa8\n89qb0ffAelgWMLH+RpjZZ5H+wZOwq0nUat4x6DpgXGTjnafJmH27jCvvdLDrSAOy1osf3FlArqcC\nrWsI24vT2G4AmYznbbTffsBWI4+MVMVl7wSKyggu/GM/Hn5QwUcfXIHT3vcnfOb3EqZHOnDULTpu\nvMTAUQvD4/Sdr9QwnBzGGw6M47lnVXT1l9CX7ENGT2K2OgtFAT74sw/iiuOviBTe/v6C36M70c18\nPpZml+Kerfd4wkaBeH2qMoVs3OPDaVcaNAgdLY5GesUErzMhVpZjNcxUuV0UdYmnB5RgZh6xAuBD\nrEgXAdRtI7QIxErR8Orsqzh8weEom+W2xOv8bve0A07DYYOH+Y6L2unwhq8vTL6A0w44TYxYcVRg\nSkshoXmtSpJaUkgFylKjE4EIseINGcn8rxliFUUBAN7zR7oOWmCjNFbkkzQfjRU1/7UcC6lYCrsK\nu2AYHnpJ6EXVqrKx4EXMPsSqSWLFesgJ7BYmShOhhIlPkHzi9RZGv1SxGEKs5pFYhRArixOvawlI\nkNjY+hCremLMV3s11Vhx14dvYl61qj7EihKWls7rVoUlYXxlWLtx6gGnRo6LKLFall2GL7z5C43z\nCvi28RqrqLGICqICJ0oT6Ev2sXMEwlTgG4fe6Pu/rnpU4DGLjmn7+6KCNkO8p9xblr0l9DpCb/jj\n5Cnfml1jcyOA5hqrAGI1Vyow2IQ5qvCDt4ZoV2NF/RKjznlfxr5FrEi87lqwTTWEGjWLoNAWgA+m\n1zRg2TLvTzAGv6rgyittfOMr3v9dFzAMDyUql4G7Xr4LP9lyBFYdtgxprYIXZkp402AKJy0A/u0F\nGeNGBX8YH0Bl+c/xy8sNpHQd522YxM6igfd9/3pccvTl0DQgHgckCRj8qoOnN8o48w4ZX7/Exnl3\nGejQe3H5BQU8sK2M5ycXwnWncf37/Mf55M/ymKwYeOtbgYe2b8f+W5dgyRLgkAUr8eCOezGc8Xyv\nmonXTdvEcMewT2M1rHiNiEkEnzfymK3ORpaKU+sGVVbRm+xFNp5FsVZkVFLwukyWJ9nugkeseKuB\nsVKbiBVHBZqOyewWfIhVoDt8UGNFYlsesSLhNoDmGitZw7bZbTj9gNOxdXZrU/G6Cxc5I+ebVC46\n8iLfuViOxajAsdIYALCy5kwsw3Q7vBaP935KxVJIqN6CmVATOLj/YNx21m2ha/DK9CtY3b+atTti\n4nWlLl6vPysJLeH1GqwjJwyximhNQUGTE08F0qTIqgID90YkYtWGxqo32euJaR0TKS3FxLUMsZIV\ntljT+xzXgeu6c9dYCewWJsoTofZaRO2zljYkXlfnh1i10wsudKxN7BaoDydRK0GNFWtp0wZixSM4\nZC8AeHQbn6zRRqqZ8zolwQk1wcZ6Txa7djRWcTWO8w8933cMURorQJxERAVRgRPlCWbi2UyIzQeJ\n16l6bU+CaHMejRNFT6KHMTBCxMoyfF05mMaqid0CQ6zkNhGrutce3xCd6DtRUFU7/9mtEqugxor5\n7En7PrHak6rAuX+ZJMPFHiJW8tyqAoHGokEhSV4SpKZncc3GD+HWl76ETxx/IYYHEujIVqAlyzhw\neRKHHw4MD8lIZKpY0NmHVCyJnqEcFi8GCvYkLlz7t3h09Hfo6PAq2ogqpibM9NAbtrdQFIwCKlYF\nw5lhoY9VvpZndNb23HYs6VoCAFjZuxL3vnovMxQVidev+8N1rAfVwo6FLOMXVQWWzTKrgGy221Zl\nFYPpQWT0DAq1gtCeIRvP4pXpV3zohSzJbFdHMRfEqmR6x0y7KV7Hoit1xEqgsaLERIRYkeidzj9K\nY0Wl2As7FvpoumDQWM5UZpr2vbOdMGI1W53FuoXr0J3o9lC++veImjATFUgLpizJod2uIis4bOAw\nnLTsJCZIpwmGd14HvIn/pamXsKhjkU8P1kpjxcP37VKB89VY0fNCiFU6lsZMZQaO66BUK7GKVTIm\npPe5cFlFJZVrz4kK5OwWJsphxEqRGq20yPl93lWBTehQ/n0SJHbd+eOOslvg6UtfVSDX0qaZMSOP\n6lDwzw7v9B5CrFo4r/P94/ZKYtWEChQdQ1BXxCeZc6ECyW5hojTBqMCoqsBg6IpnLLu3qgJFHQ+C\nsX/3/rjnffew9/BoLW+3QMGbjQbDJ16PpXzIV7NQZa/vqyI12ktpshaNWAXE6xKkps9ZMyqwlZbx\n9Yh9mlgxjZUbFq+3Ch6x4h+str5XEjtz/+LFX2Dj6EasG16Hdx7wTq/lR8D4TYLEehR26B2sh9xE\neQJnrDwDT+x+wucpZTs28kYeHXqHz26hN9nrJSf1xEokXi8YBZYcbJvdhiWd9cSqZyXGSmMMsYop\nMTz02kM48w5P7O+6Lj537+cwUhhBza7hM8d8BucefC5rQxJsaVOqlZAzcpGaCDZusoKB9ADSsTRL\nCoM396reVXhs52MhxCoTy8C0Tfad/O6uWZDGJq7G2c7SRwXWJwKRxoohVgKNFXk4AS3sFuqvX9ix\nEJoSrbHi/ciiJhVK6CmRGyuOwbAMWI6FDedvwNkHng0AjA7k7yNaTMlXJqj34WNF9wpcu/5aSJJn\n0cCLVwmx4if+zZObsaRrCVb2rMSvz/81G3daeEWLHr8g2q6Nql0NQe3BeymhJdChd8xNY1U3CO1N\n9jLn9ZSW8gmUSUtGgmigkbwUjAIrjyf0a65VgUktiYlSWGNFCREt0tTZYL7O6+1QgcHkT5GVkHcT\nHefizsW4+bSbfe8XIlZtUIH87/jEKujdRPReMx8rHl0M0q7ziXaSzGD4xOu8xoqrpms3aDxmq7Os\ncIAvfGgWdN/vLfF6qVZqmcwFg0fveLsFimZVgbyP1ZwQK9JEBhoit6Ox0lUdqViqKZDyf5oK9DRW\nDhzXhm0q86ICCXrmf9YqCNEIxi9e+gUuWnsR/ubwvwEAhurwuzJZajgRd8Y7kTfycF0XU+UpLO9e\njmXZZdg4shFHLfTK33bmd6I/1Q9d1YWIVdksY7hDnFjljTxbQLbPbmf8PAnkCc7VFR3PTzzPEJBi\nrcjcuWVJxur+1ey8SQjuS6zMEsZL4+wYm43bYHoQmVgGxVrRo6UCD8KBvQfilqduwekrTwcAJlCl\n3lpjxTEszS71UUfNgjRW9FDnqjkhFThXjRXtMoFGj8QgitIZ72SvH+4YZroUitHiKDr0Dt9YzlRn\nIicVuu9KtRKWZZdhtDTKjFR5r5kgYkXjwFOBzSbsr77tq+zfiqSEPrtqVdkklVAT2JHfgf269oMk\nSRjKDLFjLZvlyNYUPHwv6hVIYxyMwfSgD1kg8XfUwkr0Rl+yDy9NvQTLsXznXqo1qEASr9P7HNfx\naMC6yHW+VGBK8xAret7Y2MoNBIyo7nY0VlGIVTtVgXRswWRCVAmnyAqrKKb/0wbRp7GaKxWoNWh0\nftMpRKyiqgLNCms/RT+bb0j1Rh/NqEDRMQTbuPBjMRcqkKwfaPPMn0+rOY7GZ2/ZLfANs9sNUZJZ\ntavo1DtZP1D+WPkI+lgRqtoOFRhsvj2UGYoU8V905EW+Cr9WBqTHLz4eg+nBkN0Cne++jv8ZKnAv\nIVbzoQL/8YF/xHl3nYeyWcZvt/zWJ4qkCSRoEMojVnkjj7yRZ4jK8YuPx4V3X4iP/vKjADyj0WXZ\nZey9VNnWm+z16DezgsH0IApGIZTs5Y0AFVhHrLoT3ehN9jY0VqqOHfkdbJdBPjN5I++brIkKJMSK\nR2zGimMtJwFVVjGQGmhKBa7qXeW5lMf9VCDgiZdJVxQ16QZDkRXkjBwyeoahUz4qsC5ej9JYJdSE\nGLFS/eL1IGJFAnwfYhWgAi/73WX40XM/AtBoTTRdmW5KBRJsviy7DGPFMZZY8SFCrGSpURWY0BIh\nvU+z8fMhVgHxOo0j3VsUfGIlCp52FflYUWPkYAykBnwLIF23KNsSQnP6kn2MCiSKFmggVqrUWKyB\nhkCc/MHos+biY8VXTk6WJ4XidULA+J37fBArPils9r4QYjUH+kuIWLXwsWpFBQZNMXmNVdNegQHE\nal9Tgbx7PUOsOPRuLlQg4K0VPALPI+PNYq8iVlwF9VyCp0XpOhRrRQymB1k/R6C1eJ1P6FuNH6OD\nuXv+oL6D8B9n/Ifw9cu7lzPpS0yJtdQjpmIprBlc46tM5+UQ+zr2LRUoNewWbHP+GiuReL3V99qO\nja0zW3HD4zdgojSB4euGccTQET7dj6gHlCzJTMvRoXcgZ+QwUW5w6+etPg8LMgvw7PizAIBXZ1/F\n0q6l7HvJa6c70c18rDKxDDJ6Bjkj5zvOvJFnVCCvsQK8m3BR5yIA3g2/I7eDJUqUvOSNvG9h1BSN\n6ZUIZaHy/7HSWMtJQJEUDKYHvaSsbkMRfM+q3lUAEKICAQ+tIFStHXdeGu9cNYdMLANd1VExKzBt\n07fLNmyxj5VhGRjuGMZkeRK2Y8OF6xNW03hRyyJ+Ut6R34HFnYtZ4j6YHvS8kjjEqlAroFgrAmho\nrJpVuPE+VsuyyzBaHBUnVhGIVUbPoD/V73NzbxWKpPg+n5ow8+OgyRoWZPy92YiuaYa+0bEGNVYk\nHBUlS4PpQR9l02y86LwN2/CeF6PAKsjoPWWz3FS8Ph/EijRTdPyUWAWTWfJgojloLomV67rz8rEK\nJlZB+oufq0Tvn6uPlciXKFJjRVSg3LAVaWoQupcQq/lSgSGNFUcFzjU5SagJVhFIn89XZEYF/X5v\nidfb6dMXDH6OpmPKVXNszoui9oGGCJ2nwEnX2SxEVGC7wYvvW0U6lsb5h3hFC//nECsHNqx5UoHz\nRaxOuu0kHHDTAbj8uMux4a834OkLn8Zv/vo3vtfR4stn47S71FWdIVaT5Um2Wzl28bG45sRrWEIU\nRKwqVgW6qiMTyzCNVUJLIBvPhtzXC7UCqlYVjutg++x2H6pw+7tuxynLva5BuqJjtDgqRKz4GzyI\nWFFjWcCjtVotCIRYESU1WZ4MTcb9qX5k49mGtw1H1Q6kBjBW9JK+dhMrRVIwW51liFXOyPkWbSZe\nr2uiAL/GaigzhInSBKMB6X1B8XoQsXot9xoWdS7yko70ArYb5xErQjPpM/i+VFHnQnTR/tn9MVYa\nY22J+OARKz5R+PE5P8Zxi49jJpntREbPMJsDQCxeX9y5OPTstEKsgnYLQYPQqCT9ihOuwKkrTm3Q\n4k0qAumzqlYVHXoHKlaFlWfrqo5sPOsTr5fNMksAKHkJIlZTlSmh/02QCuQn/FQsBcd1hIgVJWqs\n1H0uBqHz8LEKyh7mQn+JWtrM1Xkd8FcF+jRWRAUSYtWqCfPeRqy4sXBdV9gknj8GIWI1D7sFer0P\nsap7MrUykN6biBVt+ueKtvG0KOCNR97Ie4iVojWaNkdcy6JZ9LUKoq4Orb5zPv5lQL146/33tvVa\nTdHw3TO/C+D/UGJF4nXTrQJWHEp7gBOAPdNYXXPiNfjhu3+I8ufK+NQxn4Iqq1jStSSEeBEywwtC\n+V1Bp97JEitCrIAGPQUIEiuzwiocZiozLNPvTnT7dFau6zIqcLw0joye8aEUQ5khdsOTWzDRUZRY\nBbumk92Crnilp3xiNVZqTQW+5+D34NjFxwLwdgI1uxaaxCVJwqreVS0RqyhhazBkSfYSqzpiNVOd\n8U2WVBHJJyG8xmooM4TJ8iRrv0Lhs1sIaKxc18WO3A4s6lgETdHY7ihoEEqu/PRvmlijJjY6rpJZ\nQm+yFwk1ga0zYddlHrGiRUuWvKazZHHRavGmeMeKd+DW029tfHZQvK4mfEgohSIpvio70bnQ38HG\nr4qsRC5Mhw4cioH0gB+xarIQ0Os69A7mI6YpnnP0UGbIJ16fqc74hOoixGpnficO7jtY+D08pcRP\nvjTWIrsFWhzo+17vXoEtESsOQRK9P9jSpqXGqq4f4udGH2LFa6zIbkFuLl5/vRArqjAjBLWZZlSk\nsfLZLcyHCgwgVu1oSPemxkqRFFRtMUrYLPjKegBsAzuQGmiLCswbed89xyPKkcca0ETui/g/k1h5\niJUDA3kodgZtdIfxvReYX1XgOQefg2MXH9syqybxukhjpSs6qwrky2yBhqAaCFCBdU8mXdVZkkEV\nYtlE1pdYlc0yE7qPFEaYqFgU9HDOB7Gi0v+xYmsq8ANrPsCSREIBRO/58Bs/jKMXHs2+k2msUg2N\nVduIldxArFb2rMQTu574f+2deZAk9XXnv3lVZlZXV/d0T09PTx/TMzAwwwDDIQ2HBtRjhhEYATZG\nsMbeMIZwOBwKedeSvBbwx0Jg+ZAwxkgmHOsIWbEOyVaEwfbaK3ktK3asCIfE4jCSYHdZjphDGmAa\n6GO6e/ru2j+yXtYvs/L45VFX9/tETExXd1ZlVmVW5svv+773PBcuMRXo91gtry+jXCijoBUwvTjt\n+RIHKVYKFFRQwdTilGOQNLsxUh5xOxf7R9r4FSs6BqJSgWJp8ljPGH747g9DFSuxt5F44kuSClQV\n1XORcBUroY/VeM943fP8CpCfoHYLYh+ruDt+FbVCjqjjgN53t9ntjkkhxWqoe8g1r+uqjqnFqfrA\nSlCs6D1fseOKwPX4U4EEBQ5B7RbEqkCx4jPyvSuqexyRyiKjWPlH2Yi/oxuCqMDuqp1XYbx3HICg\nWFXi2y34j+cwj9WOrh3Y07un1rW/yYqVGGTGBbjXDF3jKrnk3fS0W0gYnFi65QmsDM2Quvmhz94/\n2DkNok0lCf7A2dRNzCzNYLA06Cj1Meb1yYVJtxoSkE8FpmkMmwWxkW2zaXqD0I3KOlaVOejr0S5/\nP0EeK1nFShbbsDG9NO3JM/s9VtOLThWY+KUSG3YGpgI156Lwzvw72KhswDZs9Nl9nl5W55fPo2gU\n3eq+KLMeHTCux2o+xGNV7bUjeqyoWeXqxqq0CgI4FzoxqBV58KoHPet0A6vSIL5z8jsAEpjXqxev\n7kI3xnvH0Wv1et4TpQJFRcrfg8k2bMytzNWV9gKOoZ3SsYqiQIGC07OnXf/akbEjODJ2xH1dTypw\nbdHj06LASiYVWDSK2N27Gz+a/BFuHrvZs5yoWFEARZVPANwGoWmgkTZ0PA8UBwL9CnQTIJUKrKwH\neqyiEFOBcR4roFYuPb8yj23WNuc7VBpymp1WO/tPLU55Rk+5ipWQCgSAKwajAyt/KtBVrILaLYjm\n9Q15j5WoUCVRrPznOqq4BeDu17CL1XN3POf+TMeyTCrQ/z0ltXdtYw2rG6vu8/b178ML97+Ar7/y\n9XjzeiMUKyEVGLcfRJM0tRjIpFjpXvM6lfvHQRVueQQYotUkCUEeq3Pz59xUYFhfOsA5Ps6eP+t6\nawH5VCDQ3CBHURzP25ZQrDawgVV1DsZGsohdTI2IX6w8sXXbmckmpAD8ilVUKpB6m5AhXlM0d3L6\nUGkI786/i4UVx7/VZ3lTgeeXz2OgOOB2Go86SdAXaW1jDWsba5i8MAlDNQIVKwCedgvi0FYZ6Zoo\nFUpSy9+y9xY8efRJAOnN64ATyCmKgnsO3OM5YbmKlc9jRalAaiw6vzJfpwjQWBu/Inl65jRGy6N1\n2+Jvt+BXrCi4jmwQWql1KR4rj+GVc69EeqyCFKskHqug9yCa1x+96VF85obP1C1HqSLZVKC/Qahs\nYCWm6sKWo+22DRvnl8/XFKvSkLs+XdUxvTiNcsE5j1BvJxpnQ6+lq7rnIiCuR1SBPIpVIUSxqrZb\nENNfMoGVAsWjUCXxWAWlAun/+ZV56Zsj6skW23k9YF+SYkXHsd9HJM7EjBppI6bj8lSs4pQ7P3l4\nrGzD9lwDoppdetatmbmkAYFqwUkKxarX6vW0LyhoBSyvL2P/9v24de+t7uca1pNscmHSU/Qlmwqk\nZZsJVQk2m5akAte08yhUkitWdCJK6rGSxTZspxqo4A2sRI+VvyoQqKUC/SeeXqsX5+bPuR4nW3cU\nsaBU4NzKHPqL/VjbWIs9YRa0ArqMLnfUx+TCJEZ7RkMDK5rJRJV9VBGWpLFcd6FbavmyWXZn5aVN\nBdL6AOAXr/xFty8X4G23IHqsRMXK1E3MLc/V3R1RN3ixbYSqqI5iFRRYafUeqySpQKpWpFTg7t7d\nWFhdiPRYidWoRBKPVdB7WF5fdj9XRVEi+1TJtlvw97GSDaxml2Y97SD8uA0kNedCNbcy5/pXxJ5b\nmqIFpwJ9itX+7fsD31NdKjBIsQrwWC2tL9WaYlbN6zJ9rOg90eM4E3/QNoqfDwVWsgG3x2MVp1gF\npAKpqCcoJe3xWAWlAhXd7V0mBuhpCUqLJgqsgjxWCVOBH9/3cVw7VJsDqKu61PopW5EHYkYkCd97\n+HsenyV9BsPdw/gvdzoNZg3VCE3rVlDxBFYyqUCxqriZtCqwauoaKfWyoS5CryS7A1cVtW66ee6B\nlW7XpcjEShJSrOZX5r2KlVZTrMSTbL/dj7NzZ90DdKh7CLPLs+6X6525d9xlzy+fR4/Z4/qDok6Y\npmZiR9cOty/Wuflz2N2zG+dXznsOXFex0k33TpQk31cnX02cCkyicAHpzevil/qaoWvwtXu+5v6d\nTop+jxV5PMQUUp1ipQcrVqdmTrmpQBF/H6vF1UW3Um29sh5fFSjMCuwyHI8VUF8RJCpW9Dfx2L5j\n3x2egdZJEIPPKOKm1Ae1W3BncUkYd+kCSFMJopaj9ZBiZWgG/uTjf+LpN0UqiBhYVeBUBZKvqGyW\ncXjX4dD1eFKBkh6rueU5tzFiks7r9J7osXSDUN9NpPj/3MqcvGKl1kbaRLVb8Hv0AOfiNLs8GxrI\n0fdvbWMtdoB3q1KBIqZuOq1nUo60AYDfuOE3PI8vG7gMv3Tol2Kfd83QNXjhvhcSrSuMuIKTMPzH\nXZBqF5bep+PRE1hJpALzUCrTIM4cbCZNVawAQIEKda0LBSPZqsW7Sv9U+rwIulMVPR8UWJ2ZPeM2\n6wRq0jJVmxF9dh/ennvbPXCHSkMwNadypc/uw9SSNxVYNsswdRNTi1OxqcDB0qCb2ppcmMRYz1hg\nHyvadgDYXtyOM7Nn0Gf3SUvXRMkoJVZNSoWS26VXnGoehaZokakiSgVGKlaUCgxSrAIawJ6ZPROo\nWPn7WJFiRRdTunuP9FgJ6SJqn5FUsbph9Aa3OjMp7ncm5rsSVQkk/p06r6dNBc4uz3o6wwctB9RU\nVkoFXjl4pXtcUB8rAJGK1c8d+Dn86V1/GroeUfkIrAoM8FiRmkwqjVgdGfee6jxWKUfa+LdFBvqO\niE0xg47boH1J55mFlWDvZ6xiJQTlrTKvi1CGIe1ImyCGuofwqx/61djlVEXFnm17Mq1LfK00His/\nQQomVeL6oePPr1jFbYN/ukGz2BKpQKBaIrvanag5KNAkxap6Bx6oWFFV4PIs3px6E5f0X+IuQ83h\n5pbnvIpVsd8JrATFiv7u72PlBlaa02IgMrDSTAx2DbrKzMzSDIa7hwPbLdDyADDQNYDTs6dRNIoo\nm+VEgVW3KZcKFFEUZ3DmzNJMZLdtEVVRI8cXUCpQ9FiJ7RZMzXRSgStzgR4rMqDTe1EVFe9feB/9\nxf66dYl9rKhPDqlWNGYm6n254x+EqkAgWrEK8lhlQVqxipn55U/Di695aPAQ7r3s3sjX9yhWBQnF\nqlplNbdc249i6pHWHdVuQfRjBq3HVcB85vWg8wA9h1QiNxUYMI0g9D0J6ge/zgAAHqRJREFUipXY\n4DbqeVEeK1LPZKBjjBSrsIauoanA1UV3rFXQc+KGMNM25N5uoVrZK/YejINuzjyd1xOm09oBVakW\nVqnJFCs/QYoVDX73E6RY6aounQpkj5UcXwTwfwH8EMALAMJvRasoigospwusGu2xMjUTCpQ6jxXg\nXHB6rB688cEbKBVKdXfdVLIqHpz9dj/emX/Ho1jRwervY3V++Ty6C92wdAtTi1ORqcCPjH0ED139\nEGzdxuTCJLoKXegqdNV7rBSvb2agOIBTM6fQZXS5M+9kkTWv+6F0juyJS1MlFCvqYyUomNRuIUqx\nCksFzi7PBgZzonl9ZX0FFVQ87Ti6jK7IEwqpBDSwdLA0iIJWkFKsZIJQGfwqb9S2AvGpQLrYi0H2\nvv59nsrQIDweqwjFyr2z9ZnXgdoFQDRBU2BF/YxkfUd1HishCFcVNbBgQFOdVKCoWInKXdS6AK9i\nRe8x7nl1VYFKNsVqo7KBHqvHne0ZtM6gVODSeni1ctxnIe7TvBuEkr2EioJkIDM+BZkKlJZcfLNC\nvaHyUKz88/6+//D3PVWP4jqB9KnAreKxyhqZ/COAgwAOAXgdwCNxT9AUDZXlcqKu60CwYpV3VaCi\nKE7PoIBUIHmsFtcWPWoVYekWZpZm6lKB4pDModKQ+/c68/rynHQqcP/2/bjr0rtg6RYmFyZRNsuw\ndCu8KlCvKVZiYNUI87of8mfI+gBiFSvqvC54rMh3RalAUvL866Q7b795fXZpNtD3I5rXxTmLNHi3\nq9AVGTBqiuYONSU/yKcOf6rOz+X2sVpb9jSmzYO8PVaaqkmZ1f0k9lgJ5nUKSMTUY1gqUGzuG7c9\nYrDiD8KLRlFOsUpiXld9gVUGxUqBksi87nqsKusoGkV8495vBC6nqfWKFd2QxHmsYlOBDRhpQ//P\nr8yjqCcMrKqKlambud3INBOxsCoLQQpmUBNhoLbf6lKBMTfOrWi3AFQ9Vi3oY5X17P1tAOSqfRFA\n7EAfBSoqSykVK9/dd96KFVBfgSUqVnTBDwqsTM1RrPypQACeVKCoWE0vTeOx7zyGk9MnMbM0I50K\nFLd1cmHSVbpiPVb29mypwBSKlaVbmF2alb6rivNYkZ9N9FiVCiUsrC7U2i1QVaBkuwVqSOpH9FiJ\nHdddj5XRFfm+NLW+S/FTx5+qu+sP67yeB0k9VrKKVdrAanY5uirQb16fX5mv27awVGCSsvso8zrg\nHO/+/UTtU4q6Mw5pZX0F6xvrUsoTkE6xystj5bZb2FiPPBaCgma6IYn1WMWlAhswhJkeh6Upg6DA\naqOyAUu3MvurWgWlArOmMelmVAaqxBT7OEopVtxuITUPAfhm7AqV9IFVoz1WANwLprheAG4Zv6mZ\n2Ne3r+55NH7FnwoEaimM0fKoewHvs/swuTCJ3/+X38dLb7+En8z9BCPlkVoqUOIkYekW3rvwXrxi\nJXis6I4+qWI13D3s9hFKgq3biRQrTdUiFStKBdKoE8AJrOZX5mNTgaRkrW2seXpgURrWj1gVSL4q\nMRVIHqvQ96LUUkdRNMNjJZsKDDtJi0FBlsBKVrEi87q4bdTwj1QzIFixShpYqYpad/L9+5//e1zc\nd3Hdc0TzOimXcWoH/T2NYhVXFSirWFGvovXKeuSxoKn1RmQKROIUqzAjfyOrAulxkgpJMRVo6VZH\n+quAWjfzzKnAqmIltU5Vw0BxwHMMyXisWpUKPLb3WKAQ0mhkju5vA9gZ8PtHAfxd9efHAKwA+HrQ\nCzz++OPuz5WzG8BKd6pUoN9jlXdVIADXlCyuF6hdcHqsHulUoKtYVZ97ZOwInr/veXc9qqJiZWMF\nZ2bP4MzsGYz1jMHUTbw997acYlX1WHWbjmLlN8T67/TpLqPL6EKP1ZOo6eSdl96JOy+9U3p5ghSr\nRKnAKMVK6LxOXh0KrDypwNXgdguUZqWLnao4ZfpB6xRH2iyuLqLP7sP55fOesURRQaCu6phdno39\nnOOqArMg9p+KIs687qYCq13Pk6qXHsUqymPl62MFeE/Glm5FmtdlAysaIEzr9Ac5B3cEzxekeZmk\nXsl+DqLinkmxSumxokHKG5WNyPMmjb/yPJeqAmM8VvMr86HKL/2fd1Ug/T+/Mi89JobOIeuVdYz1\njIWmRdsd8SYkC6YuH1gVtILbB5GQqQqkQpJmq0efvfGzUsudOHECJ06cyG29Mu/y1pi/PwjgpwHc\nEraAGFg9+3t/jIV32lexIu+MuF6gdvCOlEcCR2SYmonZpVmPCmTrtlulBjgHF+WmFUVBv92Pq3Ze\nhdMzp2uBlWZielEuFUgeK0oFAvBUiJD0ThdNMiMWjSJ+++hv59aoLgrbcBQrafO6IqFYVWcFiqlA\nMbCidGqQeX1qccqzj0gVCLpAikOYF9cW0V/sd+c9Fo0iLum/BCcePBH+XgJSgUGQSV4caZO7YtUm\nqcAkfazoOyCejE3d9Mw6c83rVB0mDAmO4unjT7vfh6BUYBC0TlKsFlYXpD8H8cZQ9oIYVxWYKLAy\nnAbB6xvrkcfWPQfuwbG9xzy/owahcVWB4pxGETEVSOvOMxWoKI7fTPT9RGHpFi6sXoAC52L/0fGP\npt6WVkLHY1bFLYlide3QtXWBqEwqEAi+gWkXJiYmMDEx4T5+4oknMr1e1rP3bQB+E8DdAJZknqAp\nGrCSj8cqb/M6UD8+RDSvA8BLv/JSXYoAcL6s00vTsLTaAaooCvqL/aEH/rd+4Vt4+OqHcXLmJN6d\nfxfD5WHX7C1zcfCb1wHUpQLFx9TUtKvQhT3b9kQqB3kRlKKMIta8LnRep9cUAyu33UKAx4rSrGIQ\nRQpZWDdyNxW4uojugrMczXUEEBmcaoqGDxY/iL2TprYOLVWsYszrYlCQyWMV03ndY16vBsDiyVhU\nrFRFdfcD7T/ZsvvRnlH3PdBkBJn3AMCrWEmm0xUo9YpVylmB9DhJuwUKjuJSgUWjWBegiCNtwhSr\nxbVFVFAJPH7EVKCiKHV9w5KSNci0dAsLqwsNuTFvJq1QrDRVq8vYyKQCablOrL5MQ9Yj60sASnDS\nhS8DeC568erBkFNVYLPN61HrpHYL/hNtv90fKpMe2nkI473jePHsi9he3O76uID6HjqB26rbeO/C\ne17FyhdYieumVGDa8ShpsHU7USowrt2CoRpuzxy6MFGqgroQu53X/YqVYePkzEl3yj0QHch5UoHV\n6q+iUcT7F96XSgFpqoaT0yfdxqBR72l5fdkd0A0g9dDloNembYmi3RSrII8VUA2sqh6rsln2BMS0\njqQXmjsuuQNfvv3LsctR8Fk0HPP6wko2xSrzrMDVZKlAGseU9LwpUxU4uzTr3nj48Y8zoVmPaclq\n5Ld0CwsrCw25MW8m/pv+tCRRrIJ48uiTODwcPOFARFYZ3gxkDR/rXdwxaKrm9LFKNirQMyi1UX2s\nAHg6aovriJNb3apA3wW3z+6LfO5Yzxjev/A+rh+53rOeRKlAMzywEh9T6iPtQN80kAIn++WPU6wU\nRXEbgIrBbtEoYnpp2mteD1CsXv/gdezrrx22qqIG3oUDPvN6tUWDrds4NXMKO7p2xL4XXdUxvTQd\nH1hpBhZWFlDQCrEBfFJkqwLdtELIfvK3W0jaekPWYyUGHeLIHMLUTFfx8AdoFPAlLZ0vaIXAnj1h\n20apwAoq2TxWKdotiOe+uWV587pt2E4wkcKX6lYFRnisqKo5CH+pfV6KlfhZJG0QurCa7rNoJ+JU\nZlmSKFZBTIxPSC3HilUjV6iomVOB/i9WnnQXuj0nCFm51TWv+xWrYrhiBTjpOVu33a7ctKyMxG8b\ntjuINiiw8o8l6LV6oSmadPogDxJXBca0WwCci+u78+96ArBSoYSpxalau4WV+iHMtm7jjak3MFYe\nc3+nKmroBSFMsXpr+q06A2fYewHgzq4Lw1ANLKw6gZVf1ciK2J0+ClVR65oEerYxh6rA1Y1VXFi9\nEBrIAt6y7FDzerWPVVBg1Ug11uOxqu7bRitW/pvItCqNrTutK9IcV5QKnF6aDgyKNaVaWRvyvW2U\nYpUpFbiZFKscPFZpehQmRRRHNjtNDx81xem8njQVeHTPUTf4aGQq8Eu3fykwsIpTXII6rwNO76io\nk6+iKBjrGXMv9uTRklWsAEinAlVFRX+xv6mpQKoKjLqYiuzr24e92/bGvubL777sqdwqFUr48eyP\nI4cw0wWCjiMgWiGjbtVATbEqGkW8OfUmdnXvin0vdOIOa7ZHGJqBqcUpJ7DS8g2sZFOBQLRXIo9U\nIB0HUe+NKocURQlWrKrm9TDFqpHHNm13V6HL/TxlL0h5KVbi/3Mr8h4r6gmWJpigVPvJ6ZOBNwmk\n3oV9xxumWGVJBa4uRCrjnUBcJa8sSfpYZSFrQN1JND+wUtOZ17cXt7vm60Y2CPWnBGQVq7BU4CM3\nPRIr1+/u3V2nWMl6rAB4UoH+dgv+7X72tmcDzfeNgsaSyFYg/sHH/iB2GQpixfdRKpTq+1gFNAgF\nUB9YhdxpB/Wxsg0br3/wulRPrzSKVaNSgVIDsCOqe/ztFsQiDRlURcXMcni6SFyO9purWAWY1wta\noc4Er0BpSmDVTMUqKhWYRrFKo/KbmtOU99TMKezprR8gTK8ZdYMCNMBjlfKzsHTLaTuxWRSrHEba\nNCOw0lW9basC86YFgZWaalagiP+OpZHIyq2WbmFuZa7uDjbuogoAn/zwJ3Fg+wHPemSrAgFEVgX6\nt/v+y++Pfd08STrSRvY1Lxu4zHNyps+LqgI3KhuBqUCgPrCSSgWu1lKBqxurUqlAGs49Uo4eSCB6\nrPJOBcq2WwCSKVZpPFbTi9ORFYG0HG1DULsFSgUe23sMBwcO1j23oalAn3kdQMM9Vv6bSH/6K5HH\nanUhVdqIGrN2FboCb0JoG5utWGVJBdJ2dDJ5pQKvG74u9nuZB1n3eyfR9Hdp6iawtC1TYNVI87qf\nJIoVIH8HKyIORKXny1y4aJmwVKChGrkGNGlIOtJGBlMzcfmOyz2/o5O6KGsHpQKBAMUqrCowQLGi\nk7eUYqVq2NW9K3YfkGJl6mb+qUDJIcxA9MyvPNotRBmcxW0Qqz3FdQM187qlW9izzaueNCsVSOZ1\ncRtlnks95jIpVhk8VtTcNA2WbgWqVYCgWIUov/6u262uCqRWHZ2uWOVlXj+08xAO7TyUxyZFoqv6\nlvFYNd28/s0HvgW8dyCxx0qkkR6rsHXFBQZuQJRinp4IybIy7831WEVUBeYZ0KTBNa+r+QV4pm7i\nih3eJq1iYEXBQVC7BX8FWCKPleFUBfZavVIXVE3RpBTLIMUqr6GwskOYaRmZIcxpA6tzC+fcaQRR\ny/lTgX7FKuy9tMS8LpkS9StWCpTYC3uUx4qaYiZpEAqkV2lsw64LZAlXsTKiFSsxnZx3KnBpbUn6\ns1AUxU0pdzJ5pQKbhaa2b4PQvGl6YDXWOwJFUbIpVtQgtAlfDGnFqnpwZ62uMDVTXt6vXnhoeDMQ\n3W6hFVi65WnmmQdls4yrh672/M4TWFX3RZBiNVoe9QStkR4rf1VgVbGSMa4Djnfu6PjR2OUM1cDp\n2dMYKA60rN0CIOexokq1NIHVqZlTuHhbtL9PDEBC2y2EBCTtrliJqp9sp+q6qkDfY1nzOhn+06o0\nWRSrulRgxn5GYcFmkn1PKeVORvba1C5wKrDRK9WRi8eqqYqVRB8rILtiZelWYq9Ad6HbPVlFtVto\nBXThyfOu6vn7nq/zBFBgJRox/XdH473juO3i2zy/i/RY+ftYVT1WssOob959M27efXPscoZm4NTM\nKdx74N6GVQVmVaz87RbSzgoUe4iFLSdjXg97brM8VnRcJDKvC5+hzJ17XFUgbYssNJ80DZZuhVbr\nSnushGMx71QgkCKw6nDFKq+RNs1iK6UCWxJYGQYypQLdIcxNNK/L9LES/0+LqZuJ5X0KDCzd8mxn\nd6G7KWNroghKUWal1+qt+x2d1A21Fkz6v8T7t+/Hl3/a22E70mMVoFjZui1lXE8Cbec1Q9fkb15P\n4LFqdLsFwGmnEYWomgUpVlFKg6IoKOqNVawUOEbupOZ1RVE8+1bmAhNkXvc/TtLs1zbs9KlA3Y5X\nrCJS6pqiuentRpjXk/ZIkrVbtDMdp1hxu4UGr7QDFaumpgITzP8CaukAS7c8J5fb992OW/aGzsZu\nCnThafSXv1Qoua0A3FSgpCoQlcLwmNerilXengbazmt3Xdu4PlYyqcCIKfV17RbSBlYyilX1M6Ab\nDPGY/tkDPxu67makAotG0Zl3p6Zot5CzYqVASbQfbN1GBRXp5UWevf1ZfHjXhwP/JqNYie836wVW\nDNCAWpuNJL5ES7dc/2SnQu+/UzxW3G6h0SvNGFg1so+VHzqBxZ0I8koFJlGsLN3yNFz0K1ZplIW8\nEQfdNpJSoeSeYMKqAoOIqwr0Nwh96OqHcj/uDNVAd6EbF/dd7K4vb8Uqcyowh6rAglbAaHk0drko\n8/qRsSORz220eZ1eny5qaT1WssdmXVWg4LFKE0ysrK9ILy8S9bnLeKzE99uIBqFJ9zuN6elkOk6x\nYo9VY8maCvSfZBoJXRDiTmB5pQKTeKxs3fb4g/yBVTtAF55mKFa0jrCqwCBuHLkRF/VdFPi3oJE2\ncYpLGopGER/a9SHPBTevIcxJ0uay5nVVSdfH6qJtF0lVwkWZ1+Oe2wzFCqh9nmn7WMkqVn6zuvh/\n0vdqG3ZDVJqkitWDVz0oVS0bhlsZWf2OpPksTM1MHWS2C7L+33aBhzA3eqVZFasm97GSkVrzSgVO\njE9gZ2mn1LLjveN49Mij7uN2DKxcxarBcrUnsAqpCgzij27/o9C/kWJVqVTwxgdvxA5TTsvxi467\n0+EVRYGmaLkd2+TtkQlOjo4fxXD3cODfqNmpoiipFSuZoFQMLk3NxF2X3tU2gZWm1CtWaTuvp1as\nMqg0tm7jwuqFRM+RQcZjJb7fz9742Uzro8+FbnbTKlaN+CyaSdzg9HZjKw1h7sjAqtkeK5lgJa8+\nVr1WL64fuV5qWduw8cnDn3QfX7vr2tyN1VlppseK1hFWFZgUCnLOzp3F7PJsQ9QqwNlOsbfWYGkw\nVy+CoRlS6u5zdzwX+reCVsCnb/g0AKRqt3Bs7zHs374/djkaVwM4n//f/ru/lV6HAqWhA8bFC7hr\nXk85KzCtx0pUaZK+V9uwoS3lr/InVayyIip59DhNYMXtFpqL2Px3s9ORqUC3j1WTqgJlpNYsndfz\n4s/u/rOWrTuMRlQFBlEqlNx9EFYVmIZL+i/Bcy89h8PDh5tWRfTWr7+V63FkqEbm74qiKHjq+FMA\ngHsO3BNb3ednz7Y9oQ0mRWSDjrDnNs1jlca8nrEqMKtKY+t2Q86ZST1WWREDTnqcKrDq8HYLqqK6\nXeQ7ga2kWLVkj2xGxcrUzVwuYJuNZprX61KBOdwdPXDFA3j6e0/j8K7DmV9LlryDc0OTSwXK8rkj\nn2uYMiobdIQ9t5GBVXeh2+0c75rXG+yx8rcUEP+WpNUC4ChWjThn0mtGKVZ5Hn9iwEmPt6JiJaq7\nncBW8lh1ZGDlGnKbZF6XyWFbupXZX7UZaZZ5/fIdl+N3bvkdAMmqAuN44IoHsLy+jOtGrsv8Wq3C\nUOVSge1AOytWN+++Gd+49xsAHAUvSbsDf2GCzPfBH1hlVWlsPX0fqyjIdxcWWI2UR/DAFQ/ktr7A\nIDNhWnSzKFadYlwHgAPbD2C4HOzh3Gx0ZCqwLRUrzczsr9qMNCsVaOkWfmb/z3jWlYditXfbXnz+\npz4v1UG9XTG0zlFSR3tGcXDgYKrnNjqwUhRvQKSpWnqPlWwqUFDGnr/vec/fEnusGpQKBIBnPvZM\nqHl9m70Nj088ntu6cksFdsh3IoyoKt525Jnbnmn1JjSNLIHVkwDuAlAB8AGABwH8WGqlHdTH6uCO\ng3jq1qdilxNHqTA1mlUVKEIXrrxk50dvejR+oTbmq3d/NXQcSbshOwYoiEYHVkHrk+68Dl/ndYmg\nn4Z+A05Qd8cld3jWnabdQqNUmk9d96mGvG4QpmZ6Jkqoipq44/6mUaw6pCJwq5ElMvkCgEMArgLw\nNwD+s+wT8/JYNeOOw9It3HrRrbHLjZZH8YnLPtHw7ek0SPFr9p2VqZtbpgIljqN7jnaMwTULg6VB\nDBQH4hfMiSTVkWkUq/sP3o8vHv9i4N8UKMk9VhlmBbYTPVYPXv21V93HW1Wxks2mMM0ni2I1J/xc\nAvC+9Eo7qI+VLNvsbaEnwa2OrdtN9wL4x/swm59/fvCfm7q+xKnAhIqVoRmhy6VWrDo8mCDECsSt\nWhWoKVpHeay2Elk9Vp8H8O8BXAAg13wJneWxYrLTisalpsaKFdNYHr764cCB4EGkUaziXq9dzOut\nJm1g1enXD1as2pe4I+vbAF4J+Hdn9e+PARgD8FUAfyi70oEBoL8/6abWoIqczXiS2IzYht2aVCAr\nVkwDeea2Z6SP6zSKVdzrtUu7hVazVVOBhmZwJXqbEqcbxZuLHL4O4Jthf3z88cfdnycmJvCXfzkh\n+bLh7Czt7PgvxlbhE5d9AiPlkaauc7h7GNvsbU1dJ8OEIc4AbZVitRmCiSAURdmSqcDDw4fxlbu+\n0urN2BScOHECJ06cyO31sqQC9wF4o/rz3QBeDltQDKzy4vR/PL1lurh2Ol+49QtNX+d3f/m7TV8n\nw4TxV/f9lWuszyuwStVuocODiSC2apCpqzou3X5pqzdjUzAxMYGJiQn38RNPPJHp9bJEJr8L4FIA\n6wDeAvBrmbYkIeyfYRimU9jRtcP9OQ9vzFY3r4uk+SxGy6PY0xs/Yolh0pAlsLo3t61gGIbZIvRY\nPZnT1McvOo4rB69M9Jybxm5C2SxnWm870mV0oc/uS/Sco3uO4uieow3aImarozRhHZVKpdKE1TAM\nw7Q/dD6kgcpMNhZXF2HpFn+eTG5Uj6XUBxQHVgzDMAzDMFWyBlabr/aWYRiGYRimRXBgxTAMwzAM\nkxMcWDEMwzAMw+QEB1YMwzAMwzA5wYEVwzAMwzBMTnBgxTAMwzAMkxMcWDEMwzAMw+QEB1YMwzAM\nwzA5wYEVwzAMwzBMTnBgxTAMwzAMkxMcWDEMwzAMw+QEB1YMwzAMwzA5wYEVwzAMwzBMTnBgxTAM\nwzAMkxMcWDEMwzAMw+QEB1YMwzAMwzA5wYEVwzAMwzBMTuQRWH0GwAaAvhxei2EYhmEYpmPJGliN\nArgVwOkctoVpQ06cONHqTWBSwvuus+H919nw/tu6ZA2sngbwn/LYEKY94ZND58L7rrPh/dfZ8P7b\numQJrO4G8BMAP8ppWxiGYRiGYToaPebv3wawM+D3jwF4BMBx4XdKXhvFMAzDMAzTiaQNhi4H8B0A\nF6qPRwCcBXAYwKRv2TcBXJRyPQzDMAzDMM3kLQAXt3ojToKrAhmGYRiG2eLk1ceqktPrMAzDMAzD\nMAzDMAzDMExjuQ3AawDeAPBbLd4Wpp6vADgH4BXhd31wihZeB/CPAHqFvz0CZ1++Bm/hAtMaRgH8\nTwD/G8CrAH69+nveh+2PBeBFAD8A8H8A/G7197zvOgsNwMsA/q76mPdfZ3AKTkeDlwH8r+rvOmLf\naXCM6+MADDgnkAOt3CCmjpsAXA1vYPUF1HqT/RaA36v+fBmcfWjA2advgkcitZqdAK6q/lwC8P/g\nfMd4H3YGxer/OoDvAzgC3nedxqcBfA3Af6s+5v3XGQT5wjti390A4B+Ex5+r/mPai3F4A6vXAAxW\nf95ZfQw4EbuoOv4DgOsbvXFMIv4GwDHwPuw0igBeAnAQvO86iREA/wTgKGqKFe+/zuAkgH7f73Lb\nd42MuoYB/Fh4/JPq75j2ZhBOehDV/+lA2wVnHxK8P9uLcTjq44vgfdgpqHDuhM+hltLlfdc5/CGA\n34QzK5fg/dcZVOAExf8K4Feqv8tt38U1CM0CVwp2PhVE70fex+1BCcDzAP4DgDnf33gfti8bcFK5\nPQD+BxzlQ4T3XfvycTg9G18GMBGyDO+/9uUjAN4BMADHV/Wa7++Z9l0jFauzcMy1xCi8UR/TnpxD\nrdv+EGoNX/37k5rCMq3FgBNU/TmcVCDA+7DTmAXw3wFcC953ncKNAO6Ck1L6CwA/Bec7yPuvM3in\n+v97AP4aTnPzjth3OpzupeMACmDzersyjnrzOuWTP4d6A18BwB44+5bHGLUWBcB/hZOSEOF92P5s\nR63qyAbwXQC3gPddJ/JR1DxWvP/anyKA7urPXQD+BU6lX8fsu9vhVCq9CccAxrQXfwHgbQArcPxw\nvwynUuKfEFxy+iicffkagI81dUuZII7ASSf9AE5K4mU4LU54H7Y/VwD4Nzj77kdwvDoA77tO5KOo\nVQXy/mt/9sD53v0ATpsaik143zEMwzAMwzAMwzAMwzAMwzAMwzAMwzAMwzAMwzAMwzAMwzAMwzAM\nwzAMwzAMwzAMwzAMwzAMwzAMwzAMwzDMZuD/AwJrBE0oxQEJAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot(angle(rfft(f)))\n", "plot(angle(rfft(sig)))\n", "\n", "legend(['original', 'all-pass'])" ] }, { "cell_type": "code", "execution_count": 224, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "(0, 50)" ] }, "execution_count": 224, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAlIAAAEACAYAAAB4cZgSAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "stem(angle(rfft(f)),linefmt='b:')\n", "stem(angle(rfft(sig)), 'g.-.')\n", "\n", "legend(['original', 'all-pass'])\n", "xlim(0,50)" ] }, { "cell_type": "code", "execution_count": 225, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "(-1.4376450639128875, -2.7742892239674024)" ] }, "execution_count": 225, "metadata": {}, "output_type": "execute_result" } ], "source": [ "angle(resp)[5], angle(resp)[30]" ] }, { "cell_type": "code", "execution_count": 226, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "-1.4165245589590689" ] }, "execution_count": 226, "metadata": {}, "output_type": "execute_result" } ], "source": [ "angle(rfft(f))[5] - angle(rfft(sig))[5]" ] }, { "cell_type": "code", "execution_count": 227, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "3.5012099242089638" ] }, "execution_count": 227, "metadata": {}, "output_type": "execute_result" } ], "source": [ "angle(rfft(f))[30] - angle(rfft(sig))[30]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "hmmm...." ] }, { "cell_type": "code", "execution_count": 228, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "-2.7819753829706224" ] }, "execution_count": 228, "metadata": {}, "output_type": "execute_result" } ], "source": [ "angle(rfft(f))[30] - angle(rfft(sig))[30] - (2 * pi)" ] }, { "cell_type": "code", "execution_count": 229, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAl8AAAEACAYAAACNjxOiAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nt94XBk0AAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot(f)\n", "plot(sig)\n", "xlim((0, 200))\n", "grid()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "By: Andrés Cabrera mantaraya36@gmail.com\n", "For MAT course MAT 201A at UCSB\n", "\n", "This ipython notebook is licensed under the CC-BY-NC-SA license: http://creativecommons.org/licenses/by-nc-sa/4.0/\n", "\n", "![http://i.creativecommons.org/l/by-nc-sa/3.0/88x31.png](http://i.creativecommons.org/l/by-nc-sa/3.0/88x31.png)" ] } ], "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": "2.7.6" } }, "nbformat": 4, "nbformat_minor": 0 }