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  {
   "cells": [
    {
     "cell_type": "heading",
     "level": 1,
     "metadata": {},
     "source": [
      "Nonnegative Matrix Factorization\n"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Nonnegative matrix factorization (NMF) is an algorithm that factorizes a matrix, $X$, into a product of two matrices, $W$ and $H$. It is an unsupervised iterative algorithm that minimizes a distance between $X$ and the product $WH$:\n",
      "\n",
      "$$ \\min_{W, H} d(X, WH) $$"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "If $X$ has dimensions $M$ by $N$, then $W$ will have dimensions $M$ by $R$, and $H$ will have dimensions $R$ by $N$, where inner dimension $R$ is the *rank* or *number of components* of the decomposition."
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "When applied to a musical signal, we find that NMF can decompose the signal into separate note events. Therefore, NMF is quite useful and popular for tasks such as transcription and source separation.\n",
      "\n",
      "The input, $X$, is often a magnitude spectrogram. In such a case, we find that the columns of $W$ represent spectra of note events, and the rows of $H$ represent temporal envelopes of the same note events."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "from sklearn.decomposition import NMF\n",
      "from IPython.display import Audio\n",
      "import essentia.standard as ess\n",
      "import librosa"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 1
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Let's load a signal:"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "x = ess.MonoLoader(filename='simpleLoop.wav')()\n",
      "print x.shape\n",
      "fs = 44100\n",
      "Audio(x, rate=fs)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "(132300,)\n"
       ]
      },
      {
       "html": [
        "\n",
        "                <audio controls=\"controls\" >\n",
        "                    <source src=\"data:audio/wav;base64,[encoded data, 352860 characters]\" type=\"audio/wav\" />\n",
        "                    Your browser does not support the audio element.\n",
        "                </audio>\n",
        "              "
       ],
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 2,
       "text": [
        "<IPython.lib.display.Audio at 0x10fa41c10>"
       ]
      }
     ],
     "prompt_number": 2
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Compute the spectrogram:"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "S = librosa.stft(x)\n",
      "print S.shape\n",
      "X = absolute(S)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "(1025, 255)\n"
       ]
      }
     ],
     "prompt_number": 3
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Display the spectrogram:"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "logX = librosa.logamplitude(X)\n",
      "librosa.display.specshow(logX, sr=fs, y_axis='linear')"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 4,
       "text": [
        "<matplotlib.image.AxesImage at 0x10fada890>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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BEPLeD9Q+b15c4vhw6lBU5wvkS2kxRq16D8s2Bc5dWZvDTlkUSlkxvMeHLcrVnDhgx1Ge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\nHOTBvckeyil4IiudGibgA+h0WcChaxFSpgBFZt/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NJ7G32aLzCcNoMrmsG4yl9CqLTk+c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\n5IwSjp+dw+Ztdi8XV9lU+vknjhGKauy4KFWylFn2Wha6nSHtO5fY5WW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bgMSuRWrfhJBZ\nQKgyxE4kKBD9PhISe9kjRcdwLCOXY+dZ3xviYG9AEbLr+Oj3RuRAAVa+82O9BoDRphcrGYIVq/Ew\nGc8e3DHT3D4V07VougpVl6lsAzBnJKsSZWNX37pHpJN871gEy65r90ETqqqgEO9H4IcYWi7s4Zgy\nx+ZBD5XZ3BTZom6qhGh67StX8coPXyFiSlWTkcknpsSj3v/OXUIamSkNo8GYlTLNCdLqqAb56Lso\nW757CaKAcjVLaKW9B13kzs8hXRQhcnZcOQX54HWaFBc6t4BEBaFZoz0EgKTCnH1CVTHyJvocQRDi\ngzc2MbLGmItZeW9+tM340sQJBYljezSnoekqkhmdAp9iJYPaQoHg5KPBmMpY7H4HiESRkH4AQ6A9\n/5mzlKFt3q1j3ZiH7zNn/7hU9XCtRybj+NVfYBTSgiRgeb2K+bgWy3l4OPJF1WTki2nkismpmq7n\nBmQQ7t/eR76Ypgwk8EM4jksDgKouM83quCavx8Zy826duJOW16rQDIWi037PQjqTIMPHSBL3iDBv\nb7uFleNVMuJXXljD6fk+pN7NiVpcOE1jHSVq8FOrRLPuhEl4foikyYx6f+BDEAW8/TpD7OiGgmRG\nJ4PODeKw51AEz8st/N4MOjYZGH4vojAiMALAYKjqd5Wj+p0RGeC3X7+JJ54/QRGxIApThiyMIoyP\nSPlyx7N5lznRE2fnEYYR6jttKq/Mr5ShKBI5wV7bgq6rpIIHgPaC77uZ0pAvMUNnj3zcvrpH+1Gs\npLFxax+qpuB6TP536soy+l2L9shM6CxTOWC9gW57iIXlCpWmAj+Ef6QBny8nce6EDLXzASJv0sw+\nupdRogYvd5HkgFtDtg/5WDf+oOkhkZBx/cND+lPbclm5MEaU5ctJ9NojKtey+1Mi9tzRcAwzqU1x\ngz24e0CNfA5S4KirMIxw8+MtzNTylG1lc0ncvbVLKMBsKQFFkUhl0HcDfOMPPnyccXwfrccZB4Az\nTzA1s7u3djGyxhRtJdMGuveHONhhzdv5Y2WMLAeV2SxlCa7j42Bvov/Ny1TcwIZhhMP9DlFoCDGy\nhtd/tVgJbnahRENugiggiiJqpKqagpHloB0TK+5vtdDZ6sM9x76jXM1i816d+IQKZROemYM4bkCw\nWBYDuwUYBbizbMrbhwKj/yHdg4SoINQrGDrMINy51cLaegHHzzG4bRRFaB1YBCTQTQWeGyCVM9Cq\ns/PKl5NTZY/7t+rw/YAoSDixH4e5dtusH8HLUNc+2IQgCjh1bpGOcenp40hmdHIMzsjFaDCe0H/E\nzspIMkdj9R1IskQGu9uyEIYhdEPF/MqE+qzfsakUyDTdTZp4v/HhA0Z2GQ/zObKEUi0NJZ4cDzRG\ng3LnGuNzOv/kMRw7WUMipVEk73lsNodniWZCZ87Hn0TiibROtByyLKG2UCBEWqmSwBgaZCUDgTuO\nURPQs/Cqn2DXLqRgDG4QPLcsKQjVPAZOLDzmh3DdkGZxRFHA3Y8PcPbJRSqLuo5PiC8AWD4R63LE\n2ZXvB+i2htTv6bQGmKnl6X57LkOg8XLll//R1/Hqzz2DzXt17L7DHNZznz+H808co6HNwA+RSGnE\n4uvzCa3H66FYj0zG8X/8xncAMJQPZwMFQEI8BzEHlOv6yOaSaB72CGklSgKyuSTxSDUPe8gXU0Qt\nUapmcP92neC5fPEXlRtRRZWJ9oEP2R1tSLabAzJk/GfurJJxXZmvV790FgktgDTagej14qsMGMU6\nHwDUcgj1CiKZRdGCPwKigJrptlCA64XwY4PRbNjYe9Ch7CKR1OB5AWzLJaPC0UU8ah7Ehvj2DTYL\nwnsynPivUJnwSwHM6HO+LZ4dnDi7gMBnEGeANbsvP79GGUevNcLhXpciaFWTp3RDfD9AKmsg8ENq\nmJeqGXhugLs3GNVJbb4ATVeJyp3X9fk0dCJloDiToghZFAU09vrkaAAWNav6RO3QcwNEYUQDfyPL\nQbmam9KW992AInndZOJdN66yDO9LP/MkCukI8ugBBC+edREVCM6Evi1S0tN7GDgMvhvvoSMW4DgB\ngrgU1Go52LrThCgKlF1Jksie8zjDGNseAj+k8qKuM30a/rzfvrGNYnlSfjx5fgGqJuPt1xnrwZmL\ny/DcgBiGAeC979zGlWcn4I1Wo4+l4xVyaI/Zcb//1uOMA8yQAMAb8aASlyW1BmN4rk9Mt+mcCUkW\nMbdSpIj4+gcPYCZ0pDPs5Z1bKk5F3bbl4uPX7qH4JfYdhUoKsiqRsW3dZtod3faQHMPNj7ewslYl\nvY2R5WDj2i76cywb4JoTBGvVVbiuR6UqQQDU9rvAcBfbCTZoOG//ewh6Dr7J+iYQFfjmPCR7j+5D\nJOkkJSsBUCIBXty/dcc+ijMp+s4oZFh+M6XRtTb2e/C9gBBOVMqJo38ulsSH3HqtETbv1SkbU3UF\nCysVNA961FCv77ax86CBS08z6DEnnuTLSDD9Dg5j9dwA7VafSoNurDJoJFXaZ0kSoWUUXH5+jY4z\n7Dl48/9l0OUnnj+BbmtIzujNb17HS587T9mAmdLQ79jkREeDMelqc26uUI7wzT/4ABeeZd/BhZv4\nUjUZ7Uaf5H6Xjs0gmTFoJgYAlP4NCL17CMpPsfPufARIKoLEEvuApCEw56gHgtADRIX2UATrbzjj\nCc9nqZaeQnMNOjY5LwB4+/VbeOL5dcyvsGMEQYh+zyKHeOHJVfheQI7d6ju4cf8Q+cKkp6SoEva2\nWgRYeO6VM1PAAFlmz/9jrqqHcz0yjoPXd688uw7dUEi+M5Ux0e9ZBB/lhmPYc9CLh+3CMEK72Sfj\nuHnnAMOBTUygYRhh9co80W4MBzZUVSa8v2O76PcsnDizQP2A8kwOzcMeobl8P8ClF9ZpYM2xXdTm\ni1PytAd7HSRSE+6pSDYhRAHmO0xrBMkaIm80geXqBcjDe9RQ9TMnsNc1kY2njlVVgq4CrhszreYN\nNOtDKmEc7vaQyhoMrRT3O9JZE8mMTkR/hUoKqiajiljIyQumoLYHux0cW6/BjbMuHqEWKxkq+TAE\nmkiO4Y9/80185kefxNZdFnm7roeZ2TxlC/bQxcxsfkLG6A5x/cNNmAkdtXmW9bljH6Vqhpw3h/fy\n2YUHdw+gajKRIM7HiKHyLDOOggAMj/CPaYaCXmsEWZVgORP52RMXF2kmiOuPn70c08roMkrVLGbm\nJmJS/c6IMtczl6qIBA0CAGn3G+yLEgy0IfG5DjUDydqiPpWfXEbdyiIZ76EoALoKODH1mqpJeHCr\nx/pswoS4c39zkkm+/PnzDPARU6wEfojaQmEK/qyoEr0TibSO46fnCPHX61goVTNIZ03SVPG9AP3O\niAKGfs/CaqpK5/CYq+rhWo+M4+CR8fbmIcozOULkRGGEMIig6swoBX6I+7f3kc0lqWFeLGegajLe\n+jqLVkVJwLOfPkuGKwxDnDy/gE6TvYhcC4JHcLXFPJyRB98L8NG7jEXFTDCN7GPrLBK3Bja+/N9/\nFZ/4uSt0DFmWKIKt77WxfnqeeiBBECFUspCMwqQpriQBtwe47DOClp6iIBHGHdSyQMuO1Q7HIURh\nIqQkSwJK1STRRCTTOvYedLB5t44T8XS0JIvY2WhiLo5WXceH7bvkcPk9aTX4VHKI99+6M1XC6vcs\nHD89R2Wl9799B0+/fJqi0pd/6BKsoYPV02wK2bZc3L9dp9Igz3Z4eWz99ALK1SxkRaKG92t//CGe\nfeUMNfGdkYvDI9TsxUoGh/tdOlahkkZ5LkPsuK4XkjbL5O87WFip0LNyuN9B87CHhWVm7MN4OJBn\nJM39PhRVJqBAeTYzJUAFgDEXJ6rAkPVSIBtA6NIeQlLhVl6GNGK/F7whZhJA14tpTfwQzlik3oym\nSjhxkd23biumr9nqwkiqk3mSwyEkWaQsZBxDcYd99vmRNYaZ0Eg9EQA6/SEFToIooHXQx95OC+un\n2XMhazISaZ3oZZaPVyGIAoJYRvcxqurhWo+M41g5wV4m3w2wtXFIdCDt1oD+H2ADbsdO1OLmHqv5\nNurMwDz/uXPsGD4rlfCIzEhqkCSRyiS25WJ3s4WZuUkU/o3few9XXjqBMxdZNCrJInptC60GyzjM\nhI7nf/oiNcs5FJfj5MMwRLczeXkPDkboaEWsanuAE1OM6D1AScIvMD4muX0VavttjEsvsO8c7SCU\nUzANtu2d7hiJhAI3LkNFEcP+c7TNB9/ZwJUX14j2HGCN6uJMhmr/gR+iUe/SfETjoItkyqCyHpvp\nmMCduzFr7YfvbKA2z5zPC589B9fxcT+GGvPP8WxrOLCRjjNDdkwB2UIS66dZyUfVZUiSiHZjgNvX\nY2dyboEACOz+RZhdKJKx7LUspDPm5LpGLoY9B7oxeSVkVSJH+NrvX8XZ545hNHRw/UM2Y/Hg7X2c\n/uQK/vhfvgkAeO5L7PngJbRcKYmx7ZFDtAZj2MMxXdedG00Ip2ooahbEFgtKIKmAUUZQZAJJkrUJ\nrfEaxsVn2c/2PkI1DzkmUwgjliV7cWYVRRHGToDtey1qyp++vEh7BQC+EqB50CdutfpeG/lCioIS\n7uR55tlusF4bzxC5oqXjuOQUkxkdqigjCtk70djvIldM0CT+4wHAh2s9KrsZ/ckfscYeR5rwpq4g\nClP1V81QcO/GHvLFNPa2WaQ+M5tnqXhcYlhcrWA88og3ihvFo1w+m3frNAVuDR1k8gmIokBZia6r\n6PcsaiJv3NlDvpBGNs9evOHAnkLs/NE/fQOnP7+Kxl328y/94y8hDCMsFQaTaLS/CVgHVO4I86cQ\nCeqEu0pUEOgVRFIMI5az6PVdjGOWXFES0KhbaOyxbGFxvQRFEeHYPt0vx/bwrT/5mGReFMPWAAAg\nAElEQVRHm4c9zC2WoMVRuJnSSN8bAD569z7WT8+TwRZFAcOeQ9KiQKxX3baIK2l3q4FkyqASz9Ha\nOcB4x/q9EXIFli2ouswg0SOXgoAwjFCqZij6ty0XDzYOyKiXZrJI5wxyHKPBGAd7HTzxEutXuGMf\nf/jlt3DuEkPj+X6ATD6B1sGk79RtD1FbKE5NS8uyRHsmiiLcsYe1uKQJsH4Nd0azK3kkEjJmzDbt\nkdi7Cwz3ADWmKSmeRySZjD6f76FRI8GnUMmi1/do+l9VRfQ6Yxzs9FBbytH967VGVD4E2PPP3wV7\nOEaulKT5krdeu4mzl1Zo9skd+3Adb0psSxRFtJt9lKvsO2RZgqLKhITTTAWiIBCt+uPm+Pffetwc\nB6aG9Tw3ICRMNp/EG3/88UTOU5Nx8uICxiOPpp+37jN2Vv7icDJDLgc77NtIZSfMqrblIl9Mk1FK\nJHXcv81U7ziXjySz2QZuROYWSgjDiKJqWZYwshwa2vrZf/DXMHY8hJcnTdCFWRNS6xoErtWgmIiq\nT9HvxfZ1wCyTo+B060I89+G6ARRFpNLUYOihsden8+42LLQPhzBTGpUaBFHAy1+4QI6k3ewjW5hw\nbtW3O6wZHpfgTp1fxLA/KfkM+za+9Qcf4ot/61kqnVh9B4apUfbVPOyxUmFc9kimDZRq6aka/Mga\nkyZ8ZZZRh8iyhG/9OwY/PvnkEoAJ1bisSlhcqeD9txjjZ7GcwbDnUJlOMxTUFgr0c8rQ8ezLp7F5\nh2VBtQWmSuj7AfWuANY/OHtlCQCL/I9micm0gWHfpvKNmWAKhRySrWsSygUNcvMBwW2hmIgqV2jP\nxN4dCHoOgVakvYtEhfbcdUNIkkBZpO34qG934To+du/HSEHHR3kuMzWLoxkKmvWYHTeXwP5Wm8AK\nF55cZezLR6ht+70R7t9hDfqT5xah6yp8P8BH77DS69rpOfhegCim37cGYxRnUo9p1R/S9cg4Dr4G\nXRuiKFBpxfcCLJ2aIQoS1/Vw/cMHMTkd64Nwmmyeuvc6Fr76v7+FF/7GBfqbVNbEb/7DrwEAfupX\nP4NM3qSom0ezswtFcmCqLjPJ1Liu7DguZFki1BQ3QLwcZg0duONJ1Ndr25iryBBGdRahAoBRhOBt\n0kBglF4GRIUI8wK9wiLXmL7CUCxADBGZ7GUfjwOsna2QAJAfhAxJ5PhTWhXDnoObHzFI6dxiCcOe\nA7cRD5NZY6ys1agP8NbrN7G6PgvH5hPaCl74gfNwRh6pMnJEWxjXw89fWYWRUCmST2dN1Le6FCED\n0ygdI6FCkkQc7nXxyg9fib9HppIbv5+d1gBPvXgSAMuEVtaqCPwJYSFDlPEJbHYuHKIa+CEWVkvo\nd2yiIzcTbPaE91GiKGK6FPG+f/z+fdTmivj4bWZcn/zESSiyTA5w804LuWwVWjhG1GVDhVBTELwR\nBC7slJxDqCRJATCIZYA5jYyu2NC1AFGC/b7RjrBysgRJFOB6MdCjz/abI+MGHRvOyEU6Znt2Ri5S\nGZMyqXfeuIXAC3A6LquGAZuReeHTZ2n/JVnE3FKR6FNGwzE0XSFFxTCM0O/aKFaTtF+PkVUPz3pk\nHAdlA6PxlPZ386CH5bUqRcTNgx5OnVskmCYA1Hc6EEUBt2+wkpCqyvjszz5F8wi1+SJ6bQuf+2kW\n7ftugFZrQIgp3VBRmslSfwIAPnp3A8VyhhyDLEvQDZXqywCbsibnYznod0f0ci8uZyDZu6yJGnzX\ndFVMOSI4rNQmx3MeHIV1q87OY21BQsc2oMcRciajotV24HNhovoA967vo1zNEvqotsQU5rie9drJ\nOQiiQGixuzd3cfrCMkXVF66sMkbcCvvO0XCMq2/fxZMvnMRsTIE+6I2g6yqV6XRTgW4qlNEFfggj\nqU4hc7KFJLG3Xn//AcozOeRLqalp/4O9zhRtfTaXJLJG3VCRzBiEFJpbKkIzFGqO+2JEdXyAzXmE\nYYRcMTFVwmnsd8mZz9TyGFljcjZLx2ag6SpR4t/8eAvdgwG0eLDu5/+LT8GMGojG/YmKo8q4qfgs\nDtweBLcHWWEZsqecheANse+wcmQ5CwzHGhA7hYQpw3UD2E5Azn7QsTEajkkD3ExpcEYuzbCUa1nW\nx4gzwKdePInWQX/qPRl0J30uWZXQ71gIw4j2GWDzSnevx2SNoojjZ2fJWTzucTxc65FxHDzt5jVw\n/sBncknYozFNxTK0TQe+F0zoMXoW5pfK9BLU5ouo77XpRTJMDemccYQkrgd37NMU8+6DJlaOV+GM\nXEr3V9dnIckSQUxVXcHeVpOib01X0GkNcOc6c1brZxam2F3r9RHSsyYjxxvHCBzhAEjVgEGcgSQq\nEMwi3QM+z3G8GpMiyjUYeohub+J4ZEmEj5j9VWJRpSAKWFqvxPfPRxhGePWHGT38sOegvtMhdNKV\n59YRRRHBMB3HRTqToGGydrOPy8+so9XoUw/p1LklyKpEpcFeO4RmKJhdjqejvYBlNUe00Ddu7U1N\n6r/7xm2cv3KMSmqj4ZgRCsa0Gcm0AUEUaE+svgPbcsnI9zsjzCxkqVTlBwG2NxpUKozCCLblwo7v\nC8DoanKFFB1j814d5Zkc9nbYdfleQPoUAMvOdj4+xMppdt5Xv7OD8v/H3nvGWJam52HPyeeec3Ou\nW7m6qqvDdE/3TE/Y2QkbZsNwl6TINVc2DJKyRVOwadiAYcFBgCGAkGEDhgVBEGQbkCxQMklblGmK\nlJbLsIG7O5ydndAzPT2du6srV92czz3RP97zvbcuJS73BwmI3f39manqW/eee8L3pif82CrZxgoU\nFQDk1oFuXIFEOcCeY3tLZbSLSFIwl4hJiPIiNDVEtz+9hlFEGb7gKiVs0qIS7cTW8QCyLPN8zbA0\nlOezbD87Hkyw/eBomhgtFDAaThh2nM5asGwTzXqXkYeWbaDV6OOZF2lGZKUM6KbKbdAnqKpHaz02\ngUMM/g73W0hnbN6EPNcnSYz45257iFIli0zB4iwplbXw8O4RE9RuXtvG5vlFDhyBH+Brv/59XHnt\nDACqHnYf1nloLnrHmYIN+aHEv+u0BzxAP4hNfsR7Huw24bo+twvEMP04Zp4fPGxjfbkCd+NnCecP\nkMpqfx8wabMM8+cQGiUerEqBg8AooTGhYJLSI3h+CMOICX8R/dw4pgxa0xUYlgbfDTgoahqpqn74\n9gP+Hq7rTf3YG/0Z5vRo6OCD79/F5U/QhrJ6eg5RGMGdeFyBtZo9yLLMSKzdh3Xousatlf3tJpbW\ny9wGGXQdrJ+dn1qbWho+8elzGA9dbgVquopiOcMIpuODDspzWUgn5hP97og3x3I1i61bdSyeorak\n4GCIuYDvBqzZJVpmikqMbNHCfOqZVbgTnwOJosrIl5MoL9D37LfHePWnL+HuTWKzv/yFc5D8Pvz5\n1xEtUgKhHX2XgkbMFI/Sq/AKz/E1lr0OIjWF4wndN0k1hB9E0OMgEYYRoJNEPic2NkFxb31An5st\nJLm9ChAvxvcCBnuoqoILz6zx/W+nDHSbI77GdiqBOzd2EYYhX8O5xQIuvXiKz8Xta7tY25xDMj1V\nEn6yHp312AQOMUuwbBOJpM4ZsW6qcEYewwqrC7m4FB/jD3/jHQDA5ddOI5tPMpzxwrOrUBSZh7u+\nKyFbSXF2SplujiuUU2dqxOR1A5x/ZgUAZc3vfvMmZ8TrZ2twxh7bkKqqgoPtJm9C4tiFj8i5S1XI\nbhPq4XcAP0YcGSnAriBK02dI/ghq948RZsj8qZ94CqYWIBcHtCDmsAg9oSiScOdGg+U80rkE9h+2\noOsqb8C+HyBfSrNki/CaFgEtmUqw9AZAg+6XPvsUZ7u3ru1gYbmEdNbGjRjWunF2AflSiltPy6eq\n5B8eo9SqC3kc7kwF+oTUhahygiDE0S5piQlfkGF/jFwhNQNYcB2fq0hNV+E0pj7mW/cOUVsq8HfP\nqBYURUbzYOrJ0mkP0G4qnBAYpk6GSPEGLKpWsXRTxbA/Yc0nw9LgewFn5aomA1IE9eCb06rRzALJ\nGpCgyijU89D3vobIpiqlrZ9H0vCRjtFhkgRGxQGApsk4PhziaK87Y3sbhRFXdLIsIZ2zZyRdbn60\nzefm3NPLM5yY99+6i1Ob8zOKAueeXiaEWJxQOCMPH72zxc+A7wcxCXF6zZ6sR2c9NoFDKNlW5rNw\nJz737BOWMeNNcLjbxqA/RhiGePqVqVyFeULnKAwjjAcOt432dxuoLRT54VhYKc18Rq6URBhGeOd7\nt7iPv7hSxgufP8/ZuaLK0HQFS2vUEtrdqmNuqcCbVK9D0F1h92kY61CcI+qFxxUGejs0XI2H3wjG\nCLLnoI6p3WWrKUSSxd8pUPOQlekD7fshitUU0rHIYRCEOPfsIpqHfdy7QS222lIB+XISjVj0MGHr\nSOcSsNN0fj03wOFuazoTif1NBJGRXPpGcCcePvXG0/zdD3faLKXuOtSKEkF20HVgJ01Gwi2dKmMy\n9liHyvcCDPpjPP/KGb6Oe9t1pDIWD9jDIMLtD7bxqR+/DIA29epCHqU4cMuyhLmVHJLJeEYyCXjW\nAhBKqNXoo7Kc46Rjd6uO6sJUITYISFJdVErX3n2AYjnDgIfNC4tYPl3mBCSRUKGMd6ndKK7hYB9Q\nDEQp4l4o/XsIsuehDqnCyyhbCMMijDAmgholyIrEFpmeR8dQW87NJACNwz7SWQpspqljf7vB92J1\nMYdXFy5wEJiMPfyT/+Ff46/+N68DIASapivQTbp36gcdHN5oIZlK8P2qqDJqS0WMBrGCsa6Rppn0\nZMbxKK7HJnAIJz0rZeDdN2/j+VeordQ46qHXGfJD5boeVFWBZVso16amPuOhy+V2vzOCLMu86WTz\nSbgTD25ctXzvDz/C/FKRN/2D7RaK1Qyef+UMZ9FCAkVk2ZV5qlDEg+dOPMiKjHe+dRMAsLBRRq87\n4tbA3u4A3fQmVtIBpO49+pKKQYNyhwa+kpGG7HXYjyMwK4CkMO9DkxTc2wVyBdr0h0M6/pMscGfs\nYdif4OwlGvBef+/hv2HkJDytAdqAT1+Y55bRneu7MzwGM6HDdf0Z8h38ENXFHLcLAz/EmYtLnBEH\nfojD3RZWN0nV1fcC7G03GEgw6I9RWyzCnfjw+rRpO2MSZiyUpoCEbD7JUuxhGCFfmApKbt07xPJm\niWdhURSh1x7PiCAurpVmfClGwwkUVWb01ng0gaoqSGYo8G6cXUDgB4w8UhTiU4igOr+SxTC5Aatk\nUpsRoBaVP4LUp2oMmgXZOWLP8SB1CmEkQRvRvytSE91eAmrcgms2RlxlSScG0wc7TZy7TNVquzHE\n6QsLON6je+/2tT3ohor5mOBnJDT89f/xy1xxZApUXb73JkGZT23Oo7ZUgDP22Op49XQVnhug16a/\nMUwCMzyB4z6a67EJHKKfWz/o4vS5Rd7YEpaBdNbijTBfSqFV7yNXTPIG2mkOcf/OPm9UlfkcwjDi\nIaluqgg7IbdrVjfmkCuk2L/AMHUe6AoOQLWWh2FqvHlORh5c14MRtyDOXFzC/nYTK+emw9XmcRfd\nOHv98lcvIim1IO3fAwSUU7MQ1V6CNCD2tJc5D2X4EGEM5XQDFQnnPvtXS5GLM2sKnJA+c9D3oGoy\nZ9B3ru3jzKUF2EmDyWNnnl4k+ZQ4SNoFg7wxblOLLZtLoheOWZtq+VQVvhsw58JM6OxhITam+gEp\nEQtk1kfvPcAzn9jgDdCwNBzutjgj7raI9Z2PlXerSzkEQYi9B02WsldVhStCgOC5QmgSoCw6lZlW\nX5/49DkoqsyQ4Cii3r4IHEf7LZSrORTn0hzgDvdbGA8mfN3Xz9agqDIe3KbgVJ3Pw3On7TFZltA4\n6nJCYVsaEuExlOO3gC7NMCCrCFe+QERAAH7mHA3EY2OniRvBch8gimG5oZbFfMnDJIiRXl4A348Q\nhRHfv1EY4dzlJUZZCaCCaPXlSymEYcQBsNcZzUC/awtF+H7ApM+ErePmtR2EQcgAhW5zBN1UWabE\ncwP4XsD395Ph+KO1HpvA8e6bJBpn2Qbq+x288BpZXOqmisbRVELddX3YSRPtxgCHe0Jq3cPps4u8\nsXlugMZRl9svYmMQooe99gjpXAKAQOyM6eG9tDzTc9++f8wVRzKdQLmaZWlxyyYGthgYtxp9JGyD\nNbcAQHK7pHNkx8FleAAv/yy0mFWsbn8NMFKQY1RlQtYw1FdhubG1bGIO/WEAWY6JirYGZxIgmaJj\nfO5TpzAe+di+00AlHvAqqjzDfj7a7SBXSuL0BdpAojBCuzHEfvw9AGBlvcptqDCM8N53b8OyTeZ6\nJFMJHO63mPxoJijQimDVOh4gV0jxZ+aKSSRsnTNqobXUaQ0wv0RZ8/rZeexvNzkI7j4kNvrCMs0O\nhNihgO9KsoSHt+qYW6bj1HQFw/7UUXBuoYDhwMH9m4c8JK4tFGFY2oxEh6orXOV0mgN2HgQocFTm\nc3xMURRRW9GeI84NAKn3AJFiwy89T9fw4NsEr45nHJa8Bc9eg+rG0utRgOMOYFt0DQ1DgSSRKm0t\nljQfDj3sPWihVCPEXnkhQwixASU2pqWxEZY4/5X5HFZiBYJ2fTijQ7X94Ai6oSGUJVx9mwLc+Uur\nM+KXt6/v4uJzq09aVY/oemwChxC3K1dzyBfTjJZxJ/6MF4EzdpHOWijNZXjYqWkKgiDkB03VFcwt\n5hnVA2CGaVucSyMKI/arbhx3ISsSLNvkjDedsdDrjLiNYZo6nLHLfWffC5DKWAjijStfSiPwQ3wQ\ne3cPhh7SqgN0t6ZQTrsCfetfIMqcop81C1F6jSsMZbgNW/MQ2NQ/9wJAUyX04xaV54dIJBS4buzP\ncThA87CPZr0340+tmyr38RNJMrQ66Y/huT4WYo6G6PmLWcPSWhkXXzgV8yhMPr+ZgsWInEFvjFa9\nxygqM6GhVe9zhtxpDvFHv/shnn2JUG6yLCOZMXH+2WWWJrnxwTaWVsssKji/UsTeVoMD2HjgYuJ4\n2Nsm6Gyr0cNnvnwJyTRt8r4fIWHrkJvCe8OH71Hb6aP3YwfAp1egGyrDXj+++hC1xSLPoW5f3cFT\nL6zxLGbzwiLqcaIAkClWcUEGhgeQnHj4nyhCqf+AAQ6QFET2PIIUXVN5fABtcJd/dr0IthWx3lir\nPkYmZyKMInTbdE3CiPgnf+8//w0AwL/3X30G5YUMn99+e4xhf8JEV1VX0DiYKgiMRxM0612WVV8/\nm4RuqNBNlZ8BAVgQIIiNcxTopsjDqeLBk/WXfz02gePp50lzyPMCWCdaL7IsYfX0HFcCiSTJa7Tr\nA251zC0UkMyYvNE5sRGOGIaPBhP02kNuQ+VLKWi6MnUMXCnCTJAvuRiGC19u0a5xHBeFUgbD/lTK\nw/cD5p3IsoxOe8AOgKauIFTzkM0sIMckLG+EsHKFyWOS2weCCdQuzUm87Hm4cgZS3DXQJA+hpPJD\nHYYRFFmCGg/MkxkT3dYIy+tlzsx1U8V46OL+TRqWL62VMexP+NwEfkiqqPF7Huw2YdkmB0SA4KCj\nwYR5A67roVBJT0mYseSICALivF19m2Y5m+cXcfbpZeYQhGEI100iW0iyh/i5SxQcxc/JNM0oxEbm\n+wHe/d4tzK9SgKstEgFQEa6PIVngCgKhLMtkAlbv48Kza/xdus0h3ydrmzXsbtW56lnZqKLTHHCF\ncv39LWRzSVRqFLzyxQQiaUSKuELB3e0jmHuFZdQV72NIXg/KgIJVaFYwVGpA7L9h6kAYgkUOFVWG\nqsnwvXBGl62+38Nf/ztf5uu8deuIW3X97gj7u02sxZyT2x/vYmG5hK/94z8GAPz4L77MOl0AEHZD\nzK8USVEgrkJUVcH2g2PmrXiuj2zR5mfkCarq0VqPTeBoN2iTatV7KFYy3C6gvnOPX+e7ASaxoJu4\n2e/c2MXG2QUWcBNiemIYLqoVkWkWK2nsbTV5uK7pCva2CForHuYwJNtYUYHUFotQVJllIFIZi4et\n4r3L1Sz2Y50sP4ggow80b009x+0K5L0/QlQmdVzoKUj1D4E8ZeaKcwQTDYQJGnZGsgldl5GKW1PD\nkYexE2DQpQ3bnfiIwoh8yOM2Uac+5MoAoPaM5/o8f3hw+wDnLi9zBZJMJeC6PlvHmqaO0ZA4BiKw\ndloDuJPpLCBfTCNhTT2wXcfHZOxhKfbMCMMIc0t5DrqeG3BVM79cnDm261e3AACfeoM8KP753/0G\nAOCNn3sRz35ykwNDwjIwHrrIZOkzNU2GO/EZ3kseIy5c1+NqS9UV5CspRpTVD7pYPV3lds1k7MFK\nmixRUq5moaoKHsaQ66euzJOjX3drCsfNrkDZ/QOgSPIeSNWAzhbkPEGqI99CMrgL36bWFiJA13Uk\nTyCBRyMf7fqQk6EwirCwXmApmeFggsrCFHXlOC7WNuamjoxPLWHQH+PHf/Fluo1MqqrE/TzqTzAZ\ne2gcdZlE2Dim2Y14Zgb9MZqHfU4onvA4Hq312AQO8fACtNGITUpRZeSKSb6xMwULzsiDnTYxiTeA\ncjUHRZU5wDhjl8hkQi6750DVplDarTtHsb0pVQ+5UhLVhRwhuA4pgM0tFLB2Zo6z7sZxd8Y9rtcd\nMnEQINZxGEacvRqGglApItz8D6F2P6YXte8SW3wStz2CCaLKszwcD1KnMHJCILbvaLUnWKgAmkq3\ngeeF8E5kql7Mnn94e2plKssSEkmD2xY3rj3EU5dXGQG1sl5Fpz5k21LdmFqtArSZpnK5mdZFGIYc\nKAGSdBE6VuIanVzvv30Hz754mt9D1RWEIYkciqx4ZbMC3VRZmyoMI6iyhJ/+T18FQEHFSho8KL51\nfQdr7hyKsZqrFPuUsA5VGMF1PSRTCW7HqJqC1lGfZzW+H6B51OPK0/fIXlUkFKc252eSAwDw7DUE\nZ38RRpOsjaPmTSBRnCYDwyOgcBaBSQHRt5bRd1QosfnWH339Lr74k6fZj8NxAhi6POOiqGkKrr55\nn4fy2UISmYKFWo4qn/m1PAZdh4UrhwMH2UKS24uizStAAMVyBooqozKfY4CILEvw/YCvYTpjIZO3\noOuxvwmerEdpPTaBQ/RvJ2MP49GEs7HmUR9W0uBAMug6GPTGSFgGE7f2HjbQOJ5mV6J9JAbXpqXj\n9vUdnBamNhoZMAky1PX3H2JhqYRkOsFkMYCMfsSmAgD/5G/9Jl79a6R3tbBUwqA3PoHIkdFp9/jh\nVxUJWucaieMJiRF/BHS2ppyARBHS6ADjcqz8G0yQ9h6yI6BdzCOSE3Ad2qTSKR2+H6LdpodfVBtC\nyReg2YBpacjk6XuouoJOc4BOPAsvVGh+JDZ1MWQW51tRZbIlHXmcjW48NY9OfciIqGQmgXKY4x68\nLEv46N0tZtk/++JpNOs9ng+pmoJ0LoF8JcWb380PdqCqCg/BJVnCqD/BnVhvTATik8ii/e0mixsG\nfoiDnRZLt/e7ZIGbTCW4Slk5VUWmYOP73yYvjQvPrKFZ76EQi2MCNHwXumeten8GPSYrEozW25Ba\nNxEJoUq3T9cwllWHXQGcJoIcCWpKoYNs1AJiAcM3vkRyJGIulY1nNJ4fwhnFFbFp4uylRQxiKLGi\nyDO+8aKCEkEyU7Bi3sr03lw/W8P8Cj1DYRShvkeJmEi4Bv3xDIrt4pW1OKA/mXE8iuuxCRwsl51L\n4GC3yQ6AVtKA5wacIUdhBEWV4Yw8hlW6Ew+j4YSd3u7e3INuTAfqZkLD089P5RbMhI7v/c6HuPAy\nDTB1XSW9q7USw4Bdx4PvB8zLSCQN/Nwv/yS73Lmuh2w+yZ7knfZgZgYiSUCoJiHZFVa7haMAlcvA\nJB7Ahj6g6Eh4e3weIvmE9ayWQYSpauk3/tUtfOIzp5AV7RpdRuNgADtlcKsvmTGhadMNQbTvRMXh\njD2MXZfPJwDkijaz7AM/JOMh18ed63RccwsF2CmDN67DXZKFaRzQxpXKJqDrU+VVzw0wHhnMyVBV\nBYtrRKwTzoP5QhphGPIm3++MsPuwjo2zU7vfhK1zctBtjrBxvnZC5BAolNI8PF89XcXSegnOiPxI\n6PyoONptoxX7l0zOeTP8FMF+F5tmvpSaQYNpqowISdITExWGpADZVUCLEwynDSgGuzhCkqcCiCAH\nwQjTudT9u10UyzZ0TUEUX4L6QR+BH3J7FqBgIe5X3w34vgSAQXeMdM5i8IHnBtjdanC1q6oKBv0x\nVk5XOLHJlWzMrxQ5cG/fP8b6uRoEsvDJjOPRWo9N4BAP72TsYWGlxCqp6YwFRVU46wLIj9pMTNVa\nR0MH2XySb/5kKgF34jF8tHHcRbma5R6xnUrg9a8+x0KK2/ePY5n0iH21y/MZdJsjPq76QQeZXJIz\nc3WiwBm7M7yEKIy44gCA0ChBad8C0kTsgmIAbh9hkbJTuXMLCFxIsTqun1yH7PdZu0oeH+BhO4NS\nTAB86bPrGI482HFGbJoqsiUbh9sdJiy6TgoHu01uX7z9jRt45ceexvE+Bas3f+caPvcfPM+cgFa9\nj9JcBt3W9FwVyxkkLAMLKzSYFm1EwdIWlV1tJVbHDUKomoLjOMslA6UCc3OiMEL9oENyKHELjQbm\nPld4zojEFsXMY/3MPMmSxBWHLEuwUgbLqocRJRDiGtN7RvC9AP06tbf63RHMhM7OkIoqY2+7wdeo\nPJfF5ERlBQD/9Zf+Fv7n3/pl/jmwFug6iSpRUgBvBG+eWNva8ZtAFLDRk59cRyRrU+0q5whNtwg9\nvtcWltIYjX3oqgwpBk3kijZuvr/H928iaSDwQ55xSLKEKIzYgCqdtTHoOtyyFFwW0To9PiQR0Hwp\nzfd4vzOGYWr8N8lU4gkE9xFej8uVjb71B8R6bdcH0PRpvHzzDz/C5sUlbmUBtFHphsoP2njoQjdU\nHgALaKiQ5M4XU3DGLm94VsqYYVML05xBf8zqt3aaMnfxcPXbY/g+Ib4ACnQTZ8R/dH0AACAASURB\nVBqcBr0xZEVmGfaXXt/AQmIb8qQFdMnvAcNjkucWm1DlGfipdUg+bXShkeP/5xOjmLi3Rw/70lIS\nrhty26Pbc3G028Wg6yBXpJZPtzXCxx88xO0/po3rp/6zV6EbKrpNOk4lDnDiuHOFFKyUwTamQoqC\nVHZDfo3n+rj5Eb1nsZzBykaVq8QojDDsT1A/0WP/t0FBH9w54AF6MkNqxSJQF+cIziyybN1Qsb/d\nxNoZYqN7boBSLc1AAdcL8J2v3WAElCRLjJwTCYIsS9ANbcZ6OH+iTeWMXOzvNPi+CMMQ+WKa76sL\nLyxiKd2EPD6A1ItJnP19uoZG3KrKb8KtfR6yc8TXSwo99uOArCGSNRz16DPyOQOuG2IyCVj1uNsc\nkaRNXB10WyM0j/r8HERhBEmWeD5hmlSJsXy84+N4v8NghupCHqalYTx0OSHodUZwXQ+rp6cWzVbK\nYBdCzw3wrd/5EP/Hf/v38GT95VhPHAABLtN1k1RXRZ/5U1+6hKO9Nj6+ShIO1fk8ZFmCYU4fHEHk\nEuqh6YyFQW/MEt0A9XjFvzsObRiCbPbgzgGS6QQqtTxnaDv3j1Gp5acPpzuL5KL/l3lgfjJoADQc\njxQLqJ8QyDNSFDTCuHoaHUKRFLgFIpPpzbcBxWBjp75cg6kqWFyk1kqrPWEnOQBQVQnFaopsWeMK\nolBN4YK6issvEspHSG6I9owcRkjlEqw6qxsaxqMJH7vvB9jfIYSZ2JSb9R5qSwWWgQmCELo5tSH1\nYnVeEWhUXYEzcnkDT+ds1PfbqC0W+BrsPqxj+VSVA3GnPsRb37iOtXPEfg5jlFTriF4/GjoEjDiB\nels6VebZzv2bB5hbLMBMTNn+3eYw9uig7+aMPJ6PAZQcLCyXeIP2XH8maVEVGZGkQGrdBMbxkEjR\nAbs85eb4I2itdxEaMS8mDiDiGjoqbdR5OpXo9TxomgxJknhgrpsqdu82uRooVlMoz2cY/RVFEXRD\n5cpIfK+bH5ACQaWWx9xSHs0jOiZ34uNwt4Xdh3WcPkdzvWI5g9HQwd5WbLe8kIedMlhAMwxnAQ5P\n1l/u9dgEjg/epqy80xrAsk3uzaYzFoqVDA9RsyUbx3ud+CGn1/h+gOPDDg/DwzBC47jL84hULoF0\nxuYH004ZmF8tzPS23YlPGk9CpsTQsLdd588dDR04Y5dRPtl8Epatc+BIphLQ9FmEUqRakApnCIkD\nUACRx9PB6vAISC7C2P86Hbc9T9lqIFwIZaiTQyixhLeuJdBsTaDE/XKBiFk8lYczpmrr6pv3oRsa\ne3eruoLAD5GNiXZhGMGd+Lj7IQ2hP/vTz0JRZNZnev+P72DzIsE9h7Eul6oqaNX7KMZzJ9fxce/m\nPi48R5BT3w3Q64xQi/kRAi3EsvUDB+mshe0HxwzRXTs9h4njYhhrVx0fdvDyFy9yoA78EKP+hBVj\nR8MJfDeYGebe/HCbeQkC5uuMPYwHdP467QFKlSxXPlEY4fd/5W2U1mkXX1gvY2V9Wjl5ro/xaML3\njaxIgKwB2VPTGYfTocpRVI2jJiSrCiXm4kRWlYKNH2/iUoiU0mEPclVJoNtz4Yx9rp6SaQPrF6o8\nx3hw84hBAQBJuKiqwugw3dTw/lt3cO7iCgAiAH7r/3sPpbh6WFqtQJZlXDzhf9Ks96DrKicDvfaQ\n1QbEOmm5+2T95V6PTavq9/4VIV8e3D6Eqip8gysqIUxEC6N+1GFfcFGF6IZGirex/lKnPcCgN+YW\nxPFhOxbZo38vljNIJI0ZvL+QaxBQTE1XIEkSQ3adsYtiNcOkN8PSMOw53PLZfVjHmaeWOJt9/tVl\nZLEHhB6UbQoMcPuEwolXf+Xnkdr5Nf6dn78MtXsTYaxzNE6eh6aQ/pFYQRhhGKNxxmMfvhfiaLfL\n2X8YRrh7fR/VhTyfv/pBd0ZSfOf+MdY2acNt1cmf42TA0w0Vqj6dKzWP+tjfaWBtk6oBgeYSyK12\nYxjzKOj8Hh+0MbdY4OxWoNhUTUGvQ+crm0/C9wLm2oRhiHs39lkOHgDWNueY7b/3sIEXPrOJhEmB\neuKGaB0N0OvQ9fn271zFxRdOwbJNbtkIYAVDULMWbl/fnfmee1sNXBYy6irBhkVL7ud+6TWUtAOE\nRg7a/X9BfzRqACfMt4KF16Ecf5+TgUntC1w5AoCXvYgwkuDFKKsgnqWNxj7qh9P5TODTdQSoxdbv\njpgAGPghfD/ge82yTW5XifPbb4/552HPweF+C0f7bUaQrW3WZobvURQhmTZRno910twQ3/ztD/G/\n/c2/iyfrL8d60qrCFDZo2QYG/TFXB6JHK4bQpUoWnkd4/Isx21xRyZdBZGSlShaFUobbSkJaWwyE\nj/bbcHabnM0uLJUwGk5w96NdthFNpggpJMhj6ZyFXnuEj65Sr3vlVJUkHOLsVJCyBGGw1a4in+xA\n2v7GFI6rJQiNoxKSJXX4W9S2iltXkWwiNHKIJNoATGcboZ6BrlN2O3YC9HouS637XojD7Q4K1RR/\nV88LsLQ+3Xy1eNMW/fMgCDG3UOBW4PxKAYOeg9/91e8DAJ777FlYtoled8jvkyslkcomWNdInHM7\nLdj8Otr1IV+z996qozyX4+BFaKouUhmLmfl+LLIn2lmqquD5V8/OaIHdv3WA5XUKqktrZZiGwrLq\n2iRAW5Y4YL7+U89CkqUZfoQTk+BOeqb0ukNceWkTAN1zmxcW+dw5Yw+TkYdylZKW/sBDKQdot/4p\nSeID1KpK1YjLAUBpvDOtRgAokzpCowgpihUFxgeQFQOSTjO60ThAt+dCVWSenx1stbG0UUR1aUrg\nk2RpCneWJLgTH5VF+vfJiFqP4rh1U0WplmY47wfv3MOVlzaxffsIF96gqtCd+Ni+d8ztxNFwgk9+\n7hyerEdzPTaBQ2xslfkcFo2p9EQmb6N+0OHAoagyvvt71/Dcy2dw9S2SuBAKoELy/GRfGyBcfMLW\nuR8ehhEmjstWm6mMhUIlzTINANCsd2GaAVpNgnL6XoDaUhHPvUx9/nFsfRqGU6OhhaUSzBxtpvM1\nC1KjC+ROAWkKRrDKwOG71CMHEBafhnzwFtuQanoa8IdwK58GAEw8CbomM2LHMlKIUjr6faHqq2Bu\nhRjG6Rheu/eghfJChr9HvzNGrpRk4IDvBlB1hXW6MgULruPjc18lq1krZeDDt+/j/DMr/B5RRFly\nPZbotmwTdiqH0WDKwO40hvz69c15JGydW4nOyIPclNHvjlid1ddjD+54U++2BxiPJowGK82R0F8/\nbg06YxeZggVZpsrJ80O0jgdMglter+Ctb32MT372Kc68dVOdgaDev32AM08tsThmoUREOSFfni0k\nqcUZZ+aZtE52vulFvoZheg3yzjf43oqyG5A6dziwqFoSUuTBy5yn+0QqQNdlyD7dR7ZpQ5IMDIYe\nt+XWLxCbXQTBydjD/Gqeq9sHt45QqKThxt9D+Kdk4up4f7uJQX/MrcGXPnMezsjDa1++xNcdAFY3\nqwyS2H1YhzP2EIaUGEVhhDB4wuV4VNZjEzhO4tRvfLA9NUjqDrG2UWOo4aA/xvOvnsXedp0ROrev\n76Bay/MmtLN1jE5rwBvA7Q928OqPPT0jCpfOWkwIPNxtoVLLzQx8NZ2qlJP8Bk1XeGDZavRh2Qbz\nOJKpBGRF5gpFkSX4qXWo/rXpYHV4RBmrRxuAfPAWYGbhLbxBn9n5EA37NRQbxFJWzSJG0gY6PQEX\n9ZAwVfR7FDgyOQOqIqNTD3D9BzvxcauMMgMASZLQrg9YgtuyDcjOFMZ6fNDGoDfddO5e28WllzZw\nsN1iYpydopaPQCRFYYT6fg/LmzQQNhIaMfdjglk6a+HaOw+weYHOb/2gA8s2YJg6HtyKJc0X8hgN\nHT5/lm3CnXjQ9SlvI5HUWcY+mU7gcLvDwUk3CVUnKhLX8XH+0gpuX9/lQX8mR/De6jwFq9pCAa7r\nszquLEv4+P2HvLmqqoL5lanhl5VQECg1KOM6zTYAyIPv0jWMq0SpeR3QUwjmiPEujw8wzL4Eu03X\n0NbrcNSzaPRiORzHQTZjwHECnlEpsoRu08P2HWrtTRwX46HLEOt0xobvBlxJpTMWdFNjcUZn7OLs\nxWU+7oMdCozZXHLqY17v8z0AkGzMEyn1R3c9NoFjfo0e7m5zhIXlEqN+hCS2GBaOBmTOc/r8Aj8U\n+UoK3eaI7WXzhRRGwwkPtp//1FnohsrBiQyZJiynXSxn0O+O4DcDnovIsgRn5DK7vNcdwvcDvPN1\nGoKaGQMvv3GB++mCKCgUej0vhOqPAH+EqBSziutXEZWfwcAinSN7/DFCowit9S4AwM+eR/Hoa4Ac\nb/paEmbYRDlP52DiSUQsFK0YJ4AkxVWD2Px0BUc7HWYVn76wgGzBRqFyYtjaHPFm+pv/4Ns4/6lT\nPFvYOE8mT74bcPDx3ABRFHFFZ5g6drfrfM3CkFA/l16i1mG/PcY7376JU/FMRDc0ZPI2xoNpm811\nPNRWCrx57W01kcpYM0g5DMABrrZUQGk1jYQdS4xEEaO56LxPSL04l+QgaKUMXPnkaZaiEfeUgKQK\nAU0hXaObKqIwYkFCP4ioDRUFCKovAQCUg+8gKl7AOPssACDR+xBBoga1H/tz2MuwD7/G51pSTOh+\nC6Usnf/hhPTHPn5nF2efJbLj2PWRyk15Fd3mCKalcaAWFrDi3zOxhL245/IlglQLkqfn+kgkjRnQ\ng5nQkS0kmfPR645gpYwZ4t+T4fijsx6bwHEcDwYHvTHypRTSOervXn37LtY35/l1dtpE86iH/d0G\nPzi6riEMQ5bkbjcC1JYK0wexNYQz9pjAJjwrRNkehhFypRSaRz1GSRmWBlmWuK/f6w5RqmTxlV96\nDQBxR+7e2GMCm6oq6HWnHIyDoxrWsjL88iegxu5xUekSpOZHSB3HbnJ2hdjhSixf3rmGSFYBI/bG\nUGwERgnxfBiu5+P2jQbOPkWZ/nDkYzDwoKjyDIntzOV5AHTOtu800OuMGBF1vN9BuZbl4POFn38R\n2YI9dRWc+LBTZP4kAAm3r5MPuZjf7G038Kk3nmbkGxCjnN6nwXMylUBtrcQs8Xs391CqZlFbLHJg\nbjX6aBx3mWSYydmQZInbW5m8DUmSWEhx2J9gTldgW/RI+AH1+EUFcnzYwfJ6BcmMOVX1nfhQFJlb\nU5sXFqFpyoxirO8HnIknUwk4Y3cq4e8ESKlAULwCdUBt0bBwHlJvC1bjGn1xMwvHvoAkKHCow4dE\nEtRjoqOaQqjnEUYC9urj4cM+Xvn8OnuR9wekNOCf4L2ksgnky1Q5tRvD2JOdAtydj/ZQqmRRXYgl\n6IcuRv0JBw7T0nHjg4fIF9NTd0NVRr8z5qq8WM1AliQWVnxCBny01mMTOIQERrZoYzL2MGxP3c32\nd5sM4wzDENl8EuVq7oQmlU2onJs0hF5cKc9UGJV5gmSKjVBUJmLGsboxB9fx45lF7Cr4YIBsPsmb\niKg86gcU4BKWgdWNOX6vVDaBTC459efIGZC9PqT9bzPmX3L7QGoRaMaih81bULwR3KWfAADorXcB\nTUYQcwKO/UUUECGKgRNJW8VTF8uUCYP0sFRVgjPyZ2Q06vs9Zt7LsozqQo4z+cpCDs2j3rRCib1M\nxL97bsBucSIYPf38Kdy5vsdy5HMLBVgpA+kMbep+EGL3XpPnF1EY4fT5Bd6MltfLkGQJiipz335/\np4Hzl1em8OeMim5zxFwEw9SQsHWuFnRdhabJzH2IIuKu5CuinbaCva0mXMefQVEdH3W4ZQYAb37z\nOl/TMIxw/vIKM9wf3D7AqTM1DoieF0JSPMjH7yEaUxtJ0lNAZg1oXKc37GwhOflnCOZpLiVPGpC0\nEKFB5+Juu4rVabGHRELB4kISrjedJ0gS4E6m3CVBUD142ObjzJenMvaKqkA3Va64B10HgR9i+y5d\n80zexsUra5zcAFQR+36AxgO6f2/80QP87H//BSTja/hkPVrrsQkcosUTBOSjIYa9dspAaW467O22\nh5hfKTCCByCUSac5nHIq4g3v4T3qp69uzEHVFS7LfT/AaOCw1/Zk5EGSJZw+v8APp8hEhYie36VW\n2Nt/SLDh17/yLMIwQj9m/3ZaA6iawkP8TneCbMqGEkxotgEQuiqxDZRocAq3D4wb0O/9Ov1sVxCZ\nBR6GVxQHoVOEFPM4AiVNcuJePPgeeJAkak9p/rRi6LXHzLR3J9QGEd9r534dvhcw4kkINQqug2DI\n796us9nPeOCiWssz78V1PfTbUzJkJp/AwqkC9h5QZt846jJrGwCCdALOyIWmq3hwh3xC0hmbEXMA\ncLjXguO4OPf0Cv2NH+J4v8Ptk057QBu5NOWwZPIWmofC8yNCMp2A5wYMiT7ca6E8l+PPkGUJK6eq\nPC9rHHfhOlM+kAga4nuFYUTaYd6IuBsACRz2diDNvwgAiEIf6O1A2fsm/buZRWRVWQFgI7OFcJyH\nFHuSh7JF7TqPmP/iuMR3BghFFfghV1uCUS8CRa89gutIMx4s7711hyV4BDhEN1XUFinYF+fS8E+0\n9n7ib7wCK2Wwv0nwpOJ4pNZjEzjExiadeGgBemhcx2PGcXU+T14ZXYd706Ohg057wJmksIIVaCvP\nDdDvjDizTFgGhv0xByMrZSCKyNNZ+FKI+Yh4mIuVDAI/xJVPEZRzd6se+xvQxlZbKsBzA3z7t68C\nAM5fWUKUT2Kv8h9hXvqn9CWbt0jgULjJeWOg9DQQxRh/awGQZExMCmhRBOjRCK4Uaz75IcIwwtER\nbUqFggnHCXDz/T3eVMyEhnwlyW0PHSr67TH+4DdpjvKJ15+KzxFt2o7jottUUVnI8vcdD12cOlPj\nquXhvUOcv7zKQXE0nLAIJQA4Y3LfE8CCdK6KxkFvhiW+tjEH3VQ5+/fdAN32kLP7pdUKdv+EVLtu\nTOHQuq7izgcHSH6SdL9kiTZckSSIatIZudwyXFojZrm4hgQa0Ljl9syLG2jV+9Mqs0UKBIJU2GqM\nMJ8x4K38BLStf0kH1vgYcDqIhAe5P0JUfQFyrDfm5p+D7LYwUunekxUJGibwJREEIgRhhEbTQSaG\nM48dH+9/9yHzNvLlJAxLQ39/qn7brPdYCaE4l4aiyAzcSGZMvPqFC2jHLbq97TrPBIW+1eF+C+mM\nxa1Vz/X/DUXcJ0KHj856bAKH2AA+vvoQ2XySM30joaHXHjITOvBJzVTTFCgp2rQH/TFW1qvM6u62\nB8TdEFLjQxfJjMmbi6bTPEIMUUUbTNUVOE2BWEpi9XR1Rtq61x5xQMsX0/D9gIfQZoKsZV/9Ekmk\n1+aTUIa3ML/1j4C4zYHsKiFyRPaaXUFgVqCOaBNShg8RaSkkYqXVIDEHKfRgKLGWlZ4HQg/Ly3Ru\n2p0Jum0HCVtnFvBJ8TuAgmixmsJXfuEV/vnh3SMMetQKLM/lZuG6XgBNV3Dv5j5qC1S1lKpZ6KbK\nXhqd1gDFSob1sXRDYT9vOhcaSvMZlu8wTQqwwlURAPSUiuHAOZHdhyiWMxzQAPKXF1WkaekoVFOs\nMhuGERqHfdbYqs7nY7tUDdnYxP3Dd+4jnbGZO2InTaiqwrMxIfAoqq3aEvFbRN+/VLUhu/chb30d\n6MWBIr1EfByhcJwowE+uQmt/SPdW611EegZJcQ1NQn3pMXNcXMPFBRvduFr1/QjlWpYrDDmWmBcb\n+/FhG7WlIt+/gU8KBe36IP77AItrRW7b3bu1B98LkC3aHKj77TH2dxtsNLa0WoY78eEHU3fJJ+vR\nWY9N4ChUaTN8+fPn4Yw9dFu0WU7GHvfOAaoeBt0xFFXBxJnKpN+9sceD13TWwva9Y86uhO6RGBS6\njo90xuKNbTSY4PiwjXI1xwN2zw3Qa485+ExGHjIFG8kMbUL3bx1gbqHAGxtJpRh46xvU+/7k62sI\nE3OQV78AqUuDVYwaBOMUFcdhG4rTQVAhDoU83AMUE+Mc/azIEiaTAAmFNtMHO2OkUxpkmaqiwCf5\nEFmWeONvN4akNJubemWEUcQB0E4ZqM7n0dKpxWMnTUjyVLr9o/cf4MKza8jmknx+RJtPZLGD/hjp\nXAKlSux3YqqwLZV9QtyJDzOh8TUFgInjAQ44cLgTH/lSioP2aDBBJm8zkqtdH8x4ZAsFAaEyK0lA\nbSXHVY5uqAijCJ36EIcxkqhay8OyTR5+j0cT0heLj+H+7QM4Yxf7u7TJr2/OY3+3ifOXV+hns4BQ\nzkKuvQgUY7Jc9wEgqYBzzNdUc/sIa+TGJ48PIfkj9FKkP2YaMlodD4UkIdKaHR9BCCiyy2KV23ca\nyBan373fGdNcIw4E+UoyHo77fE0DfypJr+sqS+YAU0Oq+zcOuerbvnWIlz53ASvrU3iudqItBzwJ\nHI/SemwCx4MbR/z/+RPQUaG11GtTIJFlGbqp4XC3xVDNjbMLWD5V5cF0OmchYRloN2lznF8pIvBD\nlps4c2ERhqVxBl2ayyCVTcB1fMbAL6wUIckSZ3WH+y1sJOc5M8vmk2jWu9yqOj5sY+VUlZnnhiED\nDiBtf5PhtQh9RJ0tSKV4E1IMIFmDl6H2kR56kCZNmMPbAIBIsaBICkKN+tSVsgJdlxllpWkybCtL\n8hVHMZLI8ZAt2Cz/kS8n2SQJIAOl0xcW+HscH7ShqDL/fHi/hedfPYOFtSLLetcPOti6d4inLq3y\nd3dGHpwYFeR5IQ73+qgL3wvHRRhGjOQyYj/3kxLoruvNkNPCkP5d/E68tjSX4ffIZA0+ztHIx/e+\nfgOl6tT+dzSYxN7adC+du7gC3w/4PYSHvAA4nL24jISt4/QFaiu1jgY4c2FpOrDXZDhSFcnD36A5\nB0CM8eMPp6ROuwIYKfgx4U+VNcjDHSQdmoWFURFFI0Qo0zVM2iokiVpYTmzQ9fSVGkZjHwc7dP48\nN2BfFABsvCW0wyYxukqoFgz6YxTn0hx4SMa+i0IlzUnX+cvLUHVl6ppZy8IZe1xdPWlTPVrrsQkc\ni+v0YDUO+8Tyjh+CIAjhOj5LfVx+fgMJW59hwSqqjMlgwjf/7lYDxUqGM03fI06CaFG8/Z2beOG1\ns1g+TdyFg4ctGCb5MYsM+HC3Dcs2uMce7oS4dW2H21u1pSLSWQujWFAvX0yR/WmczY7HAXRZQbDx\nVSj1H9CX1FOQNAvIxf7URg5S7wGMe/8X/XtMDESCpMTDRAZ914Ie0EZmmRJcb6pVpaoyun0Xnhuy\nnEplgSRZGrFO1McfbOHCs2s880imEui3pwKG1fk8UrkEZ7Of+5krCPwQ7foARizhUlsqwEzo2H5A\nWbZuqKjMZ3mwqqgyciWbORn1/R6SGXNa5dj6jEuh+BsADJXtdUdYWi3z/OHsBdrUxet4ZhOjqpSU\nhpe/eBb1A0oOmgd9ZAvkU3HxChl0BX4Iw9TQbgz4PjgpPwIAb337YzYAU1UFyVSCP2syCZCTdhAu\nvU6eHABgVUmEMlXjawpvBP3B/xNfwxEQBpAMavNFagrtkQ5LFVbIEsIgQrfrcvU0HPnodSesu5Ww\ndYyHLsNrBadGtGuTGRMJW+fAAlDQE6isMAxRrmUx6I4xjGVIfJ/kXUSFnC0kYacMBPE1e9KqerTW\nYxM4Tt64ncYQ/fgh0nQVpqXhk5+lrNz3AnSbQ+zvNrGwVOK/LVRS/B65UhLt+oAZxJIkwXMD7nVf\nvHIKB9stHhyePr8I3VBxvN/h15imDitl8IYsKzKSqQTPXnRDhe8FTADsdYbs5QEAw6GHAu4CO98h\ny1iA2h2BC+x+j44rvQRYhWk2axUAswDZo80wchpIqxYkl4JTKOUwGJrIZWPV2TF5Zg/7E2TjeYM7\n8dHbH2NhhQLx8nqZILaD2DckDqYC8STJEnw3YEHCdMaG6/iw01N72WTGRDJjMrhAliV0myNIG7Q5\nCtMhsXHt7zYwL5eYN9PqT+C5PhRVYahswjKw/eCYCZ6rG3OQZInRYJ0maV+JyslOGZAkIkDSfRAi\niqZKvJmChQe3D1GeyzFRsbqYw7A/YfmZ+kEXv/erb+OZ1wngMLeUx6tfuIjtu8d83U56rvhBBMU/\nAna+zcxxZFeoUjyOeRyJAlUf4hqaWQousR+H7Bwhl8jzNQ2Rws0HwMZGlis2WZbQbY1YNFJRZdgp\ng7+7LEnACdTs//sP/wh/5W+8MnUI9AMUYhIsQM9Dq95HrzNk3S1NVzEaOlA1une27h4iX17n8/mk\n4ni01mMTOO5dJ5hmoZJGGEb88AIkoSBUPoU8tBBDFH8zHro88L1/+wDnL60gEb9H47CL2kqB2yDH\nB23MLxexsBZXOQc9aLqChbUi7l4nLsi1d+5jbqmA5TXKRtdOz6HXGbEIX7maxf07B+zpkS+msb/T\nwL2rhJt//cubCCdFyPl1YP8d+iKNj4H85hSeCwCqBUj96c/eAJEZq69GIUKzMjV6Um3YVsg8jqOj\nEbJZA8WyjXEsq+46PqqLWZ4RsUxFvOlX5rMzQVqO+RXzcaDZuV8n+RRZ4mF3fb+HiePxzGPYH6Nc\ny/JgVdNkGAkNH79LsiebFxYR+CHPH9ruEIpK/XSRNV977z6evnKKKwrdUHmYTeczhXa9j3KNWlGe\nG6DTdlgdN4yIYX1SDWB5vTIjGzPoOrj69l1c+eQm3yfPv3EOd04o5A76Y7ZczRfTyJWSnOkbhoIo\n1CAVzwH7JAKJzhakU19EFOuLASSlLrknrqHbA8yp8VioZcmbBQBkDfMLAXw/RCueCSVMBXNLGfTa\nFPACP8Rw6DKRUTdVmuHE1+0rv/Qajnbb05lezsKg6zDAJAhCNI96WF6vcMWRydlIZkxOhNyJ9yRY\nPMLrRwkcrwB4E0Bw4nfPAHjvL+SI/oLW2WeoZxwEISYjb+r9PfFh2Qa3PeYWiU/guQG3PnRDxZ3r\ne8xCXlmvYmfrmLMtWZEx6DrcgtjfaaI8l2NOgO8HcEYe+p0p/6FYzqBxr1VYGQAAIABJREFU3OWW\njq6rSKYTrOZqWjoG/THsJD2sw4ED1/Xxma88y99JCiaxR/UK/UIxgME+UCbJESSKCJOLUFTauO4F\nz2Mt+g4kobaqGLh7v4/1tenMxw8ifPAWBSfdVNFrj6HpUx6GpivQdIURT4J1/Pu/9jYA4Cd+4WXo\npsqtqdHYIyOoGGjgTjw4Kinqik1dkiV0WgPmCaRzNkq1NFvaSjLJhl94YZmOMeYLtI5jpeB6D7Is\nw0zoTNpc25jDnRu7HHh9L8DZp5f5uDzXx/JGmYPXeOhiZSUNU6I5QKhlkS/bM1yG8dBFtzniYKkb\nKj7z5UsMW52MPMwt5hnWKvTHREJx61osVBi3c9bPFBBqWSjY5/YiJAXR4fuUAADk1QEQKRCAlz0P\nrfE2Xfv49e2Oi2wmthSOqAL+1u/eQzlGwrWOByjV0lMehywhk7c4AB7tdtGq95l/cuvDbTz3yhl+\nJg53W3AnPnNzdEPlijJxwrFSiFUChBoc9ifIl6c+LU/Wo7N+lMDxdQA/APBVACKV/UcALv8Zf/eP\nAXwJwDGAeCfDzwD42wDOAHgOs8HnvwPwH4MC1H8B4Pfi3/8dAD8LIAfgBEeW11cA/HMAV/BDgpmY\nLQiGN7udtUYwTJ2zwPu3DmKinQbQjBOtRg/JdIKVUhdWSsgVkyxIaKdN3Lm+izMXiQPwzIsbaBx1\nUYpRVnbSxHg0YagiQBVFMp3g1hVAm/LcIj2cBzstrJ1gjsuyhHI1y5tWQhlCGuxQCyP2ZkDjOpCs\nAYdX+T1lVUdk0HGs5duIkossQYJggs3SMULBMpZNDAbAhWeJZ+C6ATRVhh9EqB+P+DjC2MoVAL77\n+x/h9Z+4jP/kb3+Jz+fVt+4xV0HMN4SibCZv497NfbQavSnj2g+RzloMPV7bpLaS59N3laQIUTTl\nUkxGHhqHfQ7smVySNmjH59ZeOmuh1x3x+b15bZvRb9PzPWVHu46PySSAkaLN1vNCtI6HHNzciY+H\nt4+RyducZQ/6Y5LHj2c1yYwJQ9X4GomqSgSnK6+cBgAmFdqWCuXg3tTtDwCO3qdr2IjZ/8fXIKk6\nEF9Drb+NKHcGkRRDoqMAJXUXoR+z6hULgS/hE59ZxTgOkiunctReasXzCDdAEIR8DUcDB0vrJWb3\nr5yuYH+ryefSnZBuVSuWeFFVBY7jIpWd3rvCFEv4zXiuj4StQ3pSdDyS60cJHLcA/C8AvgXgFwB8\n70d87/8TwN8H8CsnfncNwE8B+N//xGvPAfir8X/nAfwBgA0Qhu+34ve582/5jBSA/xLAWz/iMeF4\ntwsrZWB/i4amsizBPeH2t7BSwkfvP4CqKtwfXz5FLm7729Sn92NUivAzCPwQqxtzvLE9uHOA2uLU\nAdBKGciWbBQqaSa9OY4LXde4X95pDYhnEJPLGsfk8yCG5c7YhZnQOQsc+jas2uehX/+H8A+pHy7J\nChStM/2ydpm4HTZt4mhcgwQgzFEcl0IHkZriNkdnIAEIuDfe77lQVBmeG8z4rwPTQPzqFy7A8wJ4\n8czone/exlPPrLJeU6Gagm6ouH+DWPapjIVqLY+te4ec/Q8HDlqNHs9w3vzmdXz+rzyL/XgDNhIq\nTFNhNJIkS6guZRllFfgBhv0xrr55B0YcoD7x6fNY25zjAe9Tz6zi5ofbXNUkUwnUDzvY2aL5w0uf\nOY+xMy2qewMPlVoKR/v0PYZ9cu7buV/ntlwylUCmMDWw6rfHMy034fB4/w61J5958TR67SGbSzmT\nAPvSK1hzfwXB3rv8Poren9r/WgUgt44oRUmJVP8QUu8+wjzxeaTIQyRpiNRUfNwh+kMPpqFg0Pfi\n8+VjMvKmsv9RBE1TOFAsrZfgTvwZFFplITczg9JNFXv36R5oN/solMh69qQ+W6GS5mt0/9Y+aiv5\nJ6iqR3T9qDOO3wZwE8D/DQoIP8r6DoCVP/G7m3/Ka38SwK8B8ABsAbgL4AVQQHj7h3zGLwP4nwD8\nTfwZboaiwljeLCEIppv+oOvMoGvGQ5K/OD7scPYkvB80neYRYRhBUWQeFiYzJlRdYUvR9bPzsSTG\nVOsnLVN2JlpVAHFIBPTRTOjQTQ1z6dhPwgvQOO7yzCOVsRCGIdrHtJF97o0l6Hu/B/T3oej03lLp\nHAWKeqxzZBWJHCgCR2YVYWoFUewAKI/6iEIPPmINo0QE05AxGtOmVa1a+PjDYxSqKd7kAaoqROvq\nw3fu4dzFFZ4HiRmCgMpOxh6+9uvfx5XXyGfEtIh5biUNJlS2Gj0kUwkcx34cV17ahOcFmMvTNVMV\nCX4QwYpNlkRGX6rRZ3SbI+QrKaydrXLbqNscodcecVvIdT0sLJe4tfLw7hHMhI7FFUK+Pbh9iPJ8\nBnKRzmU6qSEII64WkhkTmYKFwlwK9z6medniWmnG2dBIaNjbbrCD5LnLyxj1J1haf5pf44xcXHuH\nbIx/5ucuYy36DsmMxEspnAIql6cVh5YAnA7k2BUwyq4gtGoIY+KfOrgLKEDcCYRlq5BkCd2ei2qV\n7vHtrR6kuFIECCGlm1MbYvEMCF8R4Y3ejcmS46FFyEJnKmGSzJhwJz5X3Uf7AmZObbrlU1UEQYgw\netKiehTXjxI4xIZ8B8CroBbUxT/n46hhtmrYhZBf/dPXM/Fr/jUocPzQO1Rkp4oiI1uymUMgvKfF\n6rVHyOSSqC0VOFs92m3DTOhcDRRKadSbHW57yDIFg+PD2LAnn4SdNDF0p4PV8dCd6fNGYQTPnbZW\nzISOj957wHLkD+8dwk4lZqTDVVWBdTluS8kaDU0Lm5DEMDxwCco5TxLdOL4aI3JoFhAZOci9e5B1\nqpya1gvIYg+GQ8PcSDExQh4P7tImUJpLYf1MEb2+O5ON9jtjlOcp+Lzw2tmZ6qtdH5Dqb5xhqrqC\nN/79FzjQDLpj/OC7t/DMixuoLcc+Fst5DPsTJkeqmoIojFjd1Uzr8IMAnWYMf47nT7c+2I2PM4u3\nvnkD5y+t8GZHemQ2a5KpmoLJ2MP198kOeDR0kEwleB4x6DqkahwPx1VFQqfrnvA31yDJErZv17Fy\nusKf4bkBD4R7nRGW1ys862oc9JArTVuaURTBMDV86kskg+8HEXQjB6mwCUXf5/OLSQfh8ufoM3a+\nASSnVrKRnoXiHEN26Bq65VcgO0ewwvge8A0EWg4PbtYRbNDfVWtJDEcedu9TYE5mTIz6Ew4cmqbg\ncKeNyjy1w4axEq6oODRdgZHQuELpt8eYjD2MBhNuL6azNkxTZwDJ3Zt7eO2Lf97bxJP178r6UQLH\npRP/PwDNOpb+Yg5nZv2wQCAD+F8B/PyJ3/3QiuOf/eo/oBfJEp5//iWcWqEssNcewTA1HoJWFrII\nAtJTEmV3sZpBq97Hcmx12muPoarKDDzWc31ubfl+AM+dKspm43bG8X6HzYhWN+Zgp030YkLg3GIe\nL376LAc0XVdhJnTO5AUcV2Tpw3GIXBRQRiqG3cOj2X556NPP2dX4u8eqrDm6pPnuewjNCnuQNwcm\n+gMH5Rq1PTIpao2lkhrSKdo0XC9AKpfgltXBVhulWnpGNls31KmMuuOj2xxygHzvu7fx2pcvQZYl\n9OIMN/BDzmABCtSnzs8hHVcYglshqsbJiKTeixU67vpBB+cvrXC7RLynqIYAkrG3UwYuv0jD5vff\nuodyLcufGfgB8nmTZdWDMIJhKNjfos12/UIVk5HH9wdAVc14NMG3fuN9AMBnvvosjvbaM0rLdtrk\nNs29m/vIF9MwEnR++30PlqyR3a9YTgdo3YXcIhl1RAEw6SOKr7FsA9GkB3f+iwAArfkDhEaRK5Du\nWMdwNMHppyowDLreskTItI1zJf5u/Z47RYxJ0oyjZTqXgKLIHFicGOAg2lLZko1OfYgwDLmV2mkN\nkC+mGFJ95ZObUFSZW1VPmOP/7q8Bmhii+We/ED88cPz9E/8fYXZjjkAD7D+vtQdg8cTPC/Hv/rSV\nAnAeNHcBgCqAfwngx/GnDMj/2s/T4cqyhN37TW4zabo6I4nROh7Ac33c/ngXZy8SiqfbHsD3A/6b\n48M2FlZK3L4JwwimpfPw3LJNJFMJNI5p0/H9AKapI52zORBMHHoYhbBf86iH2kqBh/Tf///Ze88Y\nSdM7P+z35lA5dg7TM9OTN8zGWy6XSy95QTydQOoOsGDphPPZEGBAMATDsAULNmx/smBDguD7JNiy\nJPtkiNTpfFG0eQzHJblcLndndzizE3t6Ond1V643J3/4P++/uk82bRn+cJyZByCWNd1d9db7VD3/\n9AvfeYyZhTpWzxFZz5342Ns+ZjJZlmWIy+tQ+/cJWQXQAdS+Nm19JAEw9/I0mPTpMNIM0j2Ki2cA\nSYEkOAH1SgHVis4zjgd3e2jNFtE7djG/SIedJJFHRZ6N1ttF4Y0ufEYsDYEXcSAJvAjf/OqP8Rd/\n8zMAgM//yotI4hSKpkAy6Hf+1b98H9ffWmcByOW1tpAyocsOoxRRlDIreTTwEIcJfJeCV7lSIJn2\nsskkN91Qce36GreadEPF3uMe25fm9zXXomrPViFJgHTigFNkCUMhqdHZGdJ1qzIHPM8NUCia+OV/\nlyq8KEy4ggGAYdeBNwl4DnJmfQ5Zmk3NofwYcXMd2uAeIII69BJQPzeVjfEHSM99GXKfWldZ7wGQ\nxdCFi2NUfwnIIkgpJRzlgoZi0aL5yR5VX6al4sN3H+G1tyloSjK1ZAfH9PMkTsmDXPA8fI+gtEVz\nKvCYyVNAxK2PNrF2fg52ccq90YR8/kfv0WesWi/iuVfP8L2QpKl1wLP153MV0UAR01Z65/9yrEzr\npwWOH2MaMP5LAP85psHj/4/04WQg+j0Avw2qIhZAg/GfNtsYAmidePwtAP8RfgqqKm9ZvPv125id\nr7NOz7DrYmvjkJVux0MXg/4E65cXsSvUVM9enEfox/jGV4kv8drPk6RHLhrnOSFUTcH88rSlYFoa\nFJU2IYfc3nj/wVRWo0VEuDs/IXG7S8+tYDL0cecmPX7jnauMYALIFW80dFkqo6QHUAf3iBCWr9hF\ncu+PpjOPi19BtvveFHWlWYBZQ6pREMgUE1LiIxSSI4Gfoqg5KIhPxXPP1RFnMgxDYfkK01TQbFmI\nBBJrPArhexFXIFZBR7lm8eG6ee8Qv/jXXmdochjEuHNzC8tn2hxEX//iZciyzA56cZRg7cIcKnXR\nZlIkmH+mJ29aGutlbW10sFxp4/hgzCCHB/d2qWITrZPZhTp5bpzwlj/ZolRUBZ1DF45LGXS7aUJR\nZVx7dRUAkUaLFRNbD46wsNoQf1NBGMSsGsuy+qLiyFUBcvLjw7t7OH9pkV9zpm1B670HqTCDLCf4\naTbSR9/i6lBaeQvyoz+a7rFeAswaMiGFn0kK5HiMUMzfhsMQjUoIWwfDrKMEeOsX1hkZV62baM0W\nUG3Q/R10PRxsDXCwPQVW5K09gD6/lm1wO/K1ty+idzhB6EdozlGFF4UJDrf6uHqdPt+FkgFFlZ+h\nqp7Q9dMCx/904v//hwD+8b/hc/8zAJ8D0ASwDeC/ANADVTJNAH8I4CMAvwTgNoB/Lv4bA/gPMA1O\nfxfAXwFgief5hwD+q3/Da2GW7JWXVhC4EWfMiiqjdzzmLLBQslAoWUjihLNSgJAkn/tL1OJpzhGJ\nMO9lK6qMjbv7OLNOv68oMo4PR0xG29s+xtkLC3jpjXV+vtCPMeq7LIyYxAn+0d/+PfyNv/cVAIAz\n8qGqCmfhnYMBls+0ec4SZBZQuQTt8EOSUwcQTLrI0oQPHXnvR6R1VKQ5iaQaSNXilDkeDpFpRegx\nHdhDvwjARE8QxaLQRbttIU5SHB1Q5j3sudANlSuKPLjls4D9oz4CP2Lb3I++fQ9f+LWX+RD6/p/8\nBI3ZCkYDl0X0LNtAsWJySy+vAPNWlarJcNwpb6PSsLH7qIvlc5Q7nLs8jyROUZ8p8nWcu7QAdxww\nuz8MSVYmby8WSxaaMxW+Bs8NUG9azJoHAHc81buyCjr6xw5KVRsTAce1SwZUTeGkpHs4xv5OF3OL\n06zNsDTmP5QrBQz6E5SFvPlwGEKrPgdt45+TPhWAcNJDlsZQdcHyHm4RyKEmPjuJh9SehyTmVoq7\ng9Sag5ZQC1RTC5j4EjodD8MuVS1n1+tIkpSrrx995xHmV+t8P303xOJag4EF+4+Jt5GDOyzbgFXQ\nOdAOuhMUStYpzTdZlmBaOqME3YmP5UKLJUeezcifrPX/Nh/4CP/PvI0/zyu7dZtaEv1j55RBTxSS\nzHee2RdKBpxxcIopG3gRJiOPdY+q9SKaM1O57HxomGfduqlCUWTOQAl9EqJzMMBPvktKtm99+QWk\naYYHd6gjd/3185BkCWMxwzBMnZ8XoPnIZOzxofTZL5yBnR1Bil2WTc86n5BERS5f4XWpXdWmIWVW\nOQtkKYK6UFY9/AYyo4GgSlvrBwlsAyxnkSkmfvTeHs6sN3hQnaZkqXosAkmWZpiMfA7Ekiyd6o/v\nbh7juDPkFluhbMKbBNjb6XJgDv2IZMzF/Me0dDz36iqWV+mQ1zQZSZyiK5jQH31vE+euzOFY7GEc\nJdjb6jI7nf5Gwc7mMQ/c87ZiLlR5+5PHeOXNC6eQb699bgVFQ4AAFAOun2JTONppmoLJ0Mfdmzs4\nd3lePFfKbR4A+ON/9kOce26RK6nx0MXSapv1xXwvxNqFOb43L74yh2L4gJj74p5LR5+I1xd7P9qm\nPcz1x5rXgCyhFhUAvfNdZKqNsP4yAGA4ikjhOAuRyfQct2910Zot8B7KskRtuAHdz+/80U1cfmEF\nmTjdtzeOcPbSHL+vXII9t+qdW6pDUWTsbB6z9le9SUGEZeotHfOrdbTnROCOUnz7D36C//5v/bd4\ntn421k38IfB/EyOemsBx/6Gw5pQo+3HGdMjvPOyeGvaWqxZGA++Uc5thaYijhIPLsOegUDRxuEcZ\nXS5uePuTTQBkGlSpFVg3qdqgL8/G3X3+3ULZxHjg8s9yhvHJucnhXo8PndZMFUmc8pD5nS+tozj5\nEFI4AHa+T38z2oOsWxwooNk0IM/FDc0q0vplRuRISJEYTSQFai90JxqqFR2ukBcxDAVBkMD1Ymw/\nomA0v1RBkmbcgkjTDIGfnIKlek7I84hhz0WpNhX2S9MMxYp5yi0uFWqr+WrOlKHqCsNtCwUVxYKG\nseAlOA7NUPJ71esQvDQOE1YblmUZvh+yW9946ML3Qj7gFHHA3b1FQVfXNfzlv/4qAyKyLIOqytjd\npuBUqtLz9I5cng3sb/ewuj7DQfNwp49CyZr6tEwCobZMj303RBwnvOcv/9wCisFdKH6HWooAsuE2\nEf7yPSzMUOBwxdDSKCGrXeSKQ8oipHqN5lUggEO5rMHzEphmDkVO4XoxPvmhUG9+cQ5ZdprNHUfp\nlOzox+gfO1y9qbqC/cc9nFyuE8AuGDBEVa2bKrxJwGTIOEyg6grWn6PkIEkyfOcPnwWOn6X10wLH\nT2tVTTBtF1kATsB1kAEo/2t/8ed45YEiScikKRc5rDRs6IbK1YFuqqg1Czg+GOP4kA4zu2DC90I8\nuEvVwUuvr+Ph3T20heT2ZOxhdrHGmkWToYfdrWPGtOeSHbqhMttW1RT4Xojv/clPANCMo94qTf0h\nFBmr52cxGdJ1DvuETMpbW4Yu0Yxi/wN+j/LlXwXGe4gXvwAAVI14O0iFragUjSElAftVZ2oJcnAE\n2adqrGmYyGIbUURtEsMg/adiQcP6JcrmR+MQSTIdlI77HtqLFT5khl33VJujNV8+xQEhEUkXcZRw\nUCQJkyIHj97RGNdeW0GrOeVxjCcRRkN6Td+LUCgZ3Dph9ncQo3dMH9PWbJWMlUTwr6pFTEYe8zh0\ng4yjciHLxbUmCrYKS/HFvbGxf+jzcydJBs+J0NkZciW6uj5Dnxtx4OYtTtOiPY5DSjbye5EH0B98\niwbdr312CVlcIIkRAWAI3/4tGPf/Cfxzv073xtmA4u4gKy7xnmaSwlyc1GhC8fY5GWiaNrLEhC9N\n23aSRHpVr761wns4GviM4POcEAtn6kjDKVO8UDK4ovacEPVWiStgSZYwYF8Wi/9N0xT2cP/0k8cs\nHPpsPXnrpwWO4k/52c/cWloWJkFOhJ98sMfZVY6Uyb/cqpZgMvShGyqX4c2ZCkZDhwNFEqck0S0Q\nN9VaETubx9yiWFxunWpJHO4OoOsqZhfq7MeRpinKlQJeeZOIce7Ex51PttinXFFInn1NSHfklUaO\nJJKDY8hDgXpIxcE83oNUWYZ6V8ioe11ksy9CypVinENIeglSzkouzSMtLkPKRGsKJjK1hI37BAq4\neKWFMEygqjIch35nPAigmyof2qquoLMz5EBCLnkqK9nmKKK8ErCKBpKY2oP5oTw4cvCjd+/gxdfP\n836lacYifZWyjnJZhyl+fzKJ8OmNfd4zZ0zXlKUZo5pKVQthELMy7exiHa25ynRwXTKQxEWuNFVN\nQZxk2BsICHYTaDZNbu8MhiEOtgfQTZWD0eH2AM25Mj+HLEtIAOxuUnXQmCnDtDR870+IkPnKmxdw\nuEu+KgCgSRGUwS2cXMat30K28CbMW/+A9xTNy5ByEMRoG7JeYgi2bDWQVs5N9zBLkakl7DwcYWmF\ncjvHjWCZKlwhlz/s+6xTBRCQI/AiPLxN7P5cH+2kbe6dm1vs2Lj58ACBH+Ha9TUOPmmawXNJdgQA\nrrywilqrAE3NK7iTUnfP1s/6emrUcdljQpFx9soMo37KNUsYOdHjMIhh2hr6Rw5WxBc8ChOsXZw7\n5VuuKDL7R7Rmqqg1SuzFEMeJEI2jL5Esy0gT8vPOf8cuGozKot+RUBxb3CoZdB3UmyXu+wP05cyV\nVlO9jrR6Aahe4GwTwQBZPEUKkUS3DuRVSeUMtT3ywKHoSArLrI6bmLNw3BhFgQY6PCR12NmF6RC0\nUNbhuzHmlinjVWQJkiRxYNm8ewR3HJwSAjy5rIKO0I/hjgPOaF3HRxIm2Num96FqCs6Hc1iYo8pH\n1yQEYQZHtL80Tcb5azPo7IrqQrS0oihh3kAUJZh0fJapl2UJujmtLI8PxtjZPOKZ0c7GMS5ebmC+\nLu5fFsGJC+yiV7BVLJ1t/Gvil7Isod4WffwgxrjvcRssER7ub36RMm9FlVGpFXFLeL/40WUo1SuQ\nisuQPTq04Q8gOSeQ6KV5ZI3LkB59nR7nASRHYRXnkVjzDKlOjSZcnwbhGw+olTrsujh3eTqortRM\njAcBBw9VpZmH9QrRs979+m2sXZg7ARgxcOHKFC3/3MtnRTWVMv/JtDVYrs5B59Obj3Hm4gzPTZ4N\nx5+s9dQEjsmEvli5gU3elz7YGuDRvQNG3wz6E7Rmqnj88IDVQkl3KsHGfZKauPz8CmRNYiE/zyVb\n0vxQeu/bt/GZL1xlK9R8PpKlGT56n6qEzwi4bZ6xPfh0F1eur3L2ahcNrF9ZxO0bxHS++NwyD9kB\nwPGBahJAcvenh0j/AXE6ckdAfwC0nqeAIVbWvo6oIaxkg2PI/jFSIbOuhF0U7TrOnxcWuGECab6A\nwXAqDBjHGRRVxmQ0nRHNrdamPw8T2CXjxDzIPTX/cMcBvwerQEFU0xV84csvobM3EK9LPfZmSwRi\nAQc+3KOqRdNIODCvanJVAN+LuJ0SR8kpmW9nHJxi7x8dDKAbKj7+gHgHz10/C89PYJYFVFlSMO77\n3B6bDH00ZotCXl+0s9KMOC2CG+K7ETw3YGHFJE4x7DoMy/34Rw9x+flVXLtOSredYx9rJYdQbvke\nOoekAKBZvIeS3yVuBwAEY6CyysPxfB8Tiz6LctiDaTSwulpCEAjk4HoNjhsjE0HQ82IYtgZvQvtw\ntD9CtTk1yjqzTtps+WcTIL4Oe5InKY4Ph0jT6cwNXRKwzO//pWsrnBjwdT7Tq3pi1lMTOPLhrKYp\n+Mbv3sC1l+kw3d44wpWXVvjnpq1D1RQsn5nhg0nTFIz6Lpfqo4GLOz/ZwsWrlKFV6gVSjBVQxEqj\ngChMGJUyGlBPf265jtc/RxwQdxzAcwNmgq9dmMdX/8G38NZXCPJbKFlI04yDU5KkzEkAgIIJSEeb\nQO8BkmOyglWsKh04y2/RL+18H9h5d8os10uQnF1ogtcxNK/CtkpMHpOCPpRwCFiEGgpDBUGUQtdl\nzrzLJQ2OOx3ir1xoYXDs8HttzJWw/eCIhfzmluoYDzzmn7TNGlxnKlUBgKuqvBrbeXyE518/w6TC\nIEiQpBmTI8MgRm9nwn+fiGpOliXsb/X4uXYfH/P9XT7TRoKpDPjSWgvjgYerLwgzLlmCZSqsOjsc\nRZBkTJn8popHd47QPxqzXaqqK9jb6jJyi+YC03kOQNXnzR9ThXH1xTNkeiVanHOza5APt4HeXaQd\nmnvIRglQdSRrv0l7+uBfMFQXAAEe/C5pVAE4yC6iWZqiyaRwCC0cIjVnMA5FuzAjf5FcN6paNTAc\nTWVkFs7UMRn6HFRLVQubdw9RE4lP/3jCLV1AGJu1yuh3x/jwXfrsff5XXsThbp+vwy6YpxwZn/E5\nnqz11ASOopDMKBY1/NpvvMZZ9GToY9h1uQ2VE/Nml6vM/XDHAWaXazxQ990Ir711iYPN4W4f5YqN\nSp14CK8sXEAYxOw57joBwjDCD//hLfzSX30dAPFCRkMXZy/SIS3LEr70G29wRbJ8Zgb3b+3g0vM0\n0LQLBnRd5blKlMrQk5BQNqL1lAZjZN4A0u2v0XNWlki36pjUc7PZ1yANHyIxxBwgfoxUqUNK6HB0\n9DOwpQFRiwGUShriQYg4yTAQ3I5yxYAsS9h7TIdEa76M3uEEa1dm+F6tXpjhQ8YdB2jMlDC3fLoq\n6R2PsCcEHOcXG9h61OFg88qbF0jLS5AMK2Xau1QYTFmmjfnFEvpiBnJ8MIZuqNjZOOYMWBLGS3kW\nnSQEndXEQD6/5znp8OzFebhewgGyWswQZQawSi0521IxO19ErztxAoUuAAAgAElEQVR9H0mcoliy\neJ/nVxuoNgrYvE8zpTRNMbfYwM99/hL/zcNP91ER1W0Sp+TeqE9bgYk3gKzqkN7/u/QPtVVi/ws1\ngHT+Dci920gV+qy1pV2kmIEcUJtvrK6goDrIFBOVMr3XwTBElmX83rIshqbJuHeTWmJnL83h5geb\nePMXKKmJwgTrzy/wvYvDBO4kYMLl7uaR8D6J8dxrxEb33QimpXO1laYZIesap610n60nYz01gSOH\nJm5tDjHqe2jO0pc11yDq/RnZ8Fx2HSDo5sanB5wRU5kfnMqUfS/kgw/1AsERxSHVbJM/+V/6zTe5\nrWFaOlRVmR5saYaPP3iI196iQ8YZ+bj0/Aoqtals97DvsPqsJqfEOO49gPoiZae4+zXE7hDKWUJV\nYfAIcPb5YJKObgCSAvXw++KmUEsqR+gU4j1ksgYpoSx9MJFQr2qIU/CQM4wS6LKM518lpn2/H+DC\ni/M43KF7IYv5z0mCpaLI7BhoWBrCMMK5Swvo7FNrynUCXHp+Kn+mGyoKZR3VovC1CI+Q6nUWINze\nGqF/5KDWontRrlpQdQVzK3V2tcu1r3IwgixLaM1VMerTdRTKJkxbZ5e77Y0jfObtFWgOKdfCUwB7\nyvL+4XceQ9UVzCxUuBJN4hTNuSlqbG+ze4rdPztfh10ysL9FQfa4M2RZd0A4AJZWIXV+H/Ka2LPD\njxAP96HOn5CI87qAIWY1Rx8BaQKlL6xl9ZJwcqSqo5gcAQnJyPQ9+ptaVUeSZryHkdibt36JgBmj\nYYg3vniJ38cn72+iPVflz69uEuEz/24cd4Z4/tWzpEkmnuv4YIj2/NT9MU/Ens02nsz11ASOXPKi\n2aY+rCqE8wIvRppluPE+EfOWz7RhmDrCMGYdKU1XsLLe5kN+68ERVE1hTsZk7KFSK57qr5M9LR1K\nvaMRdEPDxt191uuZXya/jrz9VKrauHh1Gbc+2gQAtGdrKFWm4neHe33MLzc4k1fHd5Ft/SnC44dQ\n+vQ3SnkOamHmtHaVrAAdYpZDVmlYnme4ZhVyPAZEtpoaTUgAy1lYpoKJmyCKUj5sPC+Bocs8M+p1\nJiiUDMwIt7k0zdA9GCONpmZGUZSgIQK1pimoNGwMjhwe9FcbRSiqfMpsK44zvPunNDB+8bUFpG7G\nw93Z+SJCP2bUz2Tow+kF2H/c47lSzvPIX8OyDcRhgpZQ9Y3DBCPXY6HEOEzQHwQoFVcB0EB+7CSw\nRLvlzKU2VE2GOw5PGUrd+Xibg0F7vopSxcZcSi3N7c0Oil2HA4mqKigUTT5cVecxpM2vIzx+CLlH\ne6hWF6G2L5GqMUAzD0UHjoTMehLQ/uX6Y40LkLIQ6phaV6leB2QNqV5BUTDvc/5Lvof9ro9K1UAg\nKpA4TNDrTLB4llpwP/eFdTijEIe7lAzc+mgTV15cZaDD53/5eZZsyVt5zdkKPCfkdu2gN2FZH+BZ\nAHnS1lMTOBSFAsf2o/4p5zJFlXH34128/CZJOoR+jJ3NI6xdnOPB6lQSfDosVFWF20atGcHnGOZI\nLRtpmuFgh7LdmfkadFNFuWoz+3wy8pCmGauShn4Mu2gwVHPQn2A8dBmZ1Z6tMUoHoANCrqxC9/vA\n+pfpona/D/f5/wT2j/6OeHMG0H4BWCSBQQQDwKgiFZyATNKx6y1gvkwHRKaYkLKETYFCJ4GiSFBV\nmQNvmmSQJAmGyP5Xz9chSRLDVh/eOsTscpUFIYMoQejH6OxSdZFzVRRV5sCqqLKA7NJh2JytwDQU\nfPbNXIfLh5eYkIWUysaDPrcUaW9pkNuYKfOMwy4YqM+UOCN2Jj5GA4f9T1RVgV0yuM9/79Nt/PyX\nVqB4ZO+aaMso2Cqz1UM/hiRrsIo674HnhFi/tsifi2LFZD0rgCrNWqvIIoc//v498mMR15RpRaB6\nBrpzSO0oABjvITn3l6Hc+Z/pcRIAzWvAipC/GW8BVgOpPc972M1WULep7ZepNpClyGSTW3kFWyNY\ntUDsVaoGohOfpUrNRL1lIRGOi71jF6E/nWNde+kMnJHPEiN3P96h+1cwmfQ6Onbw6tuX+PM8v1I/\n5QD4bMbxZK2nJnBoKn1y6+0iJFmCKSSnozjFynr7lO4UQKX2yWE0AGw+oAy4PVuF6/isRZVj2E/a\nwNbbRc7QBt0Jhn0HpYrNB9W3v/4RLv7cCrvJNWZLnHEDNEQmO1Q6dG5+uIHLz61OEUqSguD8r8PY\n/wDOd/87ei/+BNrGD4AL79DvBGPg/u8DS8KfwzkEIheSRfLwmV7AMn6EJD3Dz4k0guwResyy5jAc\nhojjDI0GZe62pWA4jjDqiIG6LCGJUw6yC2fqLFEBELv64vOLp/zFZUmC7011oDwnhO+G3PqL4wTr\n19p8L6R4DNMw2ayo1rQxGQYo5LOPFJhfIXvUXIhvcORg3PdYi0oWM4+Ttq9xnDD3xi6YQJYyUEAZ\nPwQKy9we870IlZqJNMswHkwFHXVDZVjrwdYAqq5w1eM54Sn47oUry1BUGYMuJRypsoBk5g0oBx/B\nvfkvaA+9CdSH76Jw9k16s6oF3PtdYFa0rvwBEIwhGUIPSwHa4QdIJJpb5cKVUuyi1aDg0h+EmDgR\n5oSxU5aqcD2qsOhehBgNPGb7txcrUBSZW4FpmqE1V+b9Ondlnv1Jcl/zMIhx7+YOQ9TnlxpoL1TR\naJ2QjH+2npj11ASO4WhaPcRRAkX4bmcZwSrz9oOiyujsD7B2cY7tT89cmEGSpKytZFoa9ra63AN+\neHcXaZrhshhkb94/xOxinVtbxbKFkuCLdI/ocPylX3+dBBbFa+QHcCgyYqto4PGDQ56bLK60kKYp\nQvHllsMe1L1vAqV5FHKo5uARYNamWlWqRa2q3NtBNYA0QVS5AgDQj99DYi+in9D7kjISF8zbUEWk\nKBU1+H6CvjgsfT/GqO8z30Q3qc+dQy13Hnah6gq2N+gAWVprY/Neh4NqjoyShAkSQPffdXy052jw\nHEcJ0iSDn1L2amg6olRGl7k25BufH8h5/30y9Hn+MBn6sEsGy74srDZOwXEbM2VYBZ0NqXw3Qpjq\ngE17KMdjuKHCvt2dnSHKNQuGqbAY4MHW4BQ35Ju/82O89PmLaM3Rc1ZbhVNB1bQ16IbKkiNKcASl\n80NAL8G++Bdoj7p3afaUiCip2YCqk2YVwG3GHH6rju4hsRcxUui6Ez+FJBfhBwlMQQwt2CpUReJA\n4XkJjg/GvIeFkoFi2eRW64fvPsTc0pSs2mjRHCfnZHz03gNceWEVVkHHltjntYtzWFxt4cb79Fm7\ndWMTK+ukifZsPXnrqQkcofiy66ZK7mVCgiTnGeQIqjhM8Plffh6ToY/2PLVKHt09RGuuwhXH4nIL\nrhOg3iLi2dXrZxAGMTbuUaY+v9jA5oMDrAsWeOBF+OG372BxpYWVc1P3uMPdAWYX6bCMImJT5+qi\nuqHi7KV5Zlz7Hh16uf9BhqkYH4Z0qMTuEHCHUBuEdMFkjwJJrns0fAQU2tB3/xU9hz2LpHgGVVFh\n+OosbO8OKiLLTrQ5hFIJqiYzuECRJaiKzNBOz41hFTRGrU2GPurtIhbO1Plx7vMA0Exk1Hcwt1zn\nGYU7DlCpTSUy7JYBSZJgJXS/pcBFXDjL8NzJKGTuBgB8emMbM/M1KKqMD9/LeTJXcPfmDtYuzvE+\nG5aG7/0RQVt/5TeofZdLopdrFgxpAnVI8NJMtQG9zkGUfOr7pxR4CyUDBzt9lln/8r//WfSPnKnc\n/iTEg093ea61sNyEM/KZD/TOG6LSM0rAiDSz0mCM1OlCbQk1XOeQgkWTEE8YbQN2A+rR+7yHqVFH\nKaH2WFychTZ5AElLkBj03kOpBEWVUWV3wxiYnSK5fDeCXdQ4AJ69PAdNU9ASkul5pZH/98XXz8Gb\nhJBkiW1yh10X25sdnvstrbWhaQpk0SKWEumZH8cTtJ6WzmP2/g/pixkGMRZXqvyBzjPoHBWkqKRq\n+9F7D055C5yUDrcK+qlWSyb0iKQTyCxNVzDs0aH04M4urggfjpOaWM7IZ5l0u2AQw1y0VuyiSRBT\nYQ7V2R/g5c9MZdnfvrwDHPyIiGP5IFVWqerIH/sD4nDkw3K9RJmsLdocYggOVUAojTp68gUeqsqp\nj86AeuQ5NDYIklP98Y3bHcyt1NgdTpKA/ccDlISGUR5IcjXi7Y0j2AUTo6HD1rvFkoXW3NRXJHf4\ne+kzgidT1uD5CR49pEpq2HVx5kKT72UQJhgPfPQ6E+w+PubnLFVt3rOcyZ9XcMedIeqNEr8Pu2Dg\n+pvnsLRMh2WpoGDsJDg8zNWKFWiqjCwDkwJ3HnbhTHy+DtcJpvpVmBok5fOdOEoQhtOB/ZffiSDt\nvkuDblFJZAtvQnr4B4yiQmGGgke+CjO05wVKQFhFVyjhpkYdrn2ZtKMkCnr9MbHt8z2M4hRhmHIF\nsbPRR7FicsstFTIxeavVc0IUSsbUflmVcbw/QqVR4Pbq/du7KFds6IZwbdTVU+q4UZziu3/8Kf7+\n3/xv8Gz9bKz/ryKHT9S6eo3giq5Haq9hOJWYLlVNLtv7xw48J8SLr5/jzDGJU8gAfBEoNm9sY2mt\nxfj9Sq2Ag6M+f9Eq9QIMS+Ne92V9FZquwHdDbAvuQrVWxIO7u6x/BRBE98b3KWO+/uY6ekchcxfW\nLy+KnrlQlNVKkBUdGG4jExVHMOlC1W3IAmWVpQmUhZemKCrNpmAh2h5SPeckiDlANEbN3Eaa0KF0\nOFTQapgIw6lTYRSnUFKJRSMvPDcLz4vxg2/cAQAsrrZOWYZqmoLBscNaVr4XolIrojVTZc2nxw8O\neTCerxffXEPNpteQwhGSpIILl6iK8f0KHCdmlJCiSChWCK2Ut1vufLwNu2ii1izwHo6GUyTX6tlZ\nJu7Rc8hYv1CD4QmJ+rAITa1iZUVonE0iPmxtEVgXzzYQeBEOtigw2EUT927uMMqqWLbgTqYSMLVW\nCWNBBgWAVC1BUQzA3yZNKgDBo+9CkhVoJr1uGt+AOnsNqIkqMkuQlc9M5dfLSxz48z20/A2k1hx6\nE7rOYlFDmmRswTtxYkRSCt+j61g930AYpbj3MVVCM4uVU7YCYRCjszPke/vNP/gIP/+Vl5HEKYMR\nLl5bouRKBKOcAJuDKqRn0/Enaj01geOwI1RmBwGqNZMPNseJsPNw6rP7wffv4rW3LsGwNEbL9I/G\nCMOYD5o4JqXbk9DPhdUGf4n2t3voHPQxv0jBKofVmrbOvuTHnSFefPU8S7d39gcoli289RfIC33Q\nneDGuw/w6juX+DXDMObXzBSNgkBpHpLoZZvnv4Tk03+JYELvxyg2KGjkVrJ2A9nMy5ASgbGHjKR4\nBlJE1ZYUu8j0CkKJrnem4iJDhkcbQywsid56nKLf81AXxC5FlTHa87hlIckS5ldrXMFpmgLdUDG7\nTAGy1ixg2HMhyRKOBI9DN1TYBRNVMYzVNIU8wz+l67x2tYay7ON4SB/XvZ0x6i0bisjsozjFwdYA\n+1tTGfrF1RaiMGErWcPScGZ9jgmAOertJ+8Tb2P10hyuXp/DBDRQrqsDmDpw/yElB6quoFBQIUOC\n06eAdtIxD4AQWWwzMCBNMxTKJtvTVuoFWLbBP89Um5j+pXlAaIyZZ38R6d3f4z3U7Sow9yqw9W16\nkdI8suoFSCW6TmhFxMUzTOKUwx4yrQg/tVArijmJAjzadVET0vBhmGA8CFCpUWDQdRl+kDCwoH/s\nYPVCiz//wz0X46HL1/3GO1fRO5y2UAHg3q0dNNtTEckwjFlD7Nl68tZTEzjy7NS0NXQOJpxNZcIf\nIm9ZXH5uFYe7fcwu1lEWsN1K3SaJEDFA7x2PMOp7nP27jg/XCbB2gXrK7jhAc6bCQYGgnCQ7naOL\n7KKBrY0OVxw5GXDQp/bWwV4Pr75ziZFbAB3K732H8Pxvv7gIxC6y3gN4AzGj+Ph/g6LbKLbEgNco\nAQc3SOwwf479H079rcMxFAHRBYDUmkGqFLjFEcKGlkY4s1bBRIgYJmmGZttmMpmmyTi7Xkcs7m8Y\nphj0fValXT7XRn2myHDotEwWpFGY8P092hvBKuqnkG2lso61ZSECmUboORpcMYcqVkzsbg54dpLv\ny9krc9PWVGdCwoaiCqR/n3pjhH4MWZbx87/6Cr9mtayyxHxizOLg0OP9ytIMu5uUdectyvZiBe44\nwP/xrR8DoAPVKuhTAy8/RppmXIEc7vZRb5WnCLNoQq3Dk3t48w8hqzrvoVJoAA9+f9p+VHTIu3/K\n+wm9BDUcAiyzXkOq12EgRhDTZ8eQUyzM2RgIfTFJklBrWNBEBaLrMpq6gmpF5z10nIjnP8WKibUr\nM1DVqetjkmRwx1NZ9ShMEHgRv7fcMTCboWQge0bkeKLWUxM4DGM63JUki3HloZ9BFe0UAGjMlBDv\nJti4u48F4SEehTFqrSK2N+kwbLYreHh3l6uHNM2wsDztuR93hpiZr3F5ruoK4jBhVjVAA8mVczOn\n5K09J0Taz1VlNfSOR8xWn1moQdUUPP8yIahk5yEJ4NkNSCO6LrPShqJbUNpikBq5SPqbkCMKNlLr\nMrK514BMuPWNtwBZRVyezk6kLISUCBRQ7BKhDOo0UKgyVE1m3sb9T7tozhXx8BZdQ7VZgG6quP4m\ntVZ6nQmcccBM4hzZlJ1oK/k+IaRyrSPd0FCp21BkCu7ViolSKTtFIlPVCkb9qdjgSWtTgLwvAjc6\nJTlytD9k+O3KuRnMLtYYFFEoGdg/9NFsUptOQ4Zm02Sv9UgYHckyEB5R4JgMfYz7Ht784jXxWYox\n9F0mvuUorxxl9ejuAXY2j7hdpvgOtajq5yDnVWKpTntYW6U3ouhIew8hBQJ9Vz+HbOltrjAQjoAk\nYCMnKIaAFCuwYyF9IteRZRZMfQpBNwwFseBtPH5EHiP5DEPVFCRJioU1+nwfbA1wsDXg+7u/08Xi\naov2SHwuHn66jzCM2NxsYbmJF984e2o4/mw9OeupCRz5eni3i4XVKgJ/ypko16xT9q/nrs4hcCOW\nikhT6uXmiJFqo4hBd8IokWqjiOPDITyXnuPclXm444Dx+sUyPX8OuQWA5mwJvhcxWWw0dFBvlrmt\nJcsSCiWLg1GaZgi8CEcH1B7JjBrSC/8OlLv/C6wWHdJZMEYw6cK5/216Dk2HVV9k21HUzkE6/IA9\nyNPGNcjdm1A7PwAAJM2XkUo6JAiJbr0CKRrCkl1oReIJuF6Mh/f7LLW+frkJ14sZGNCaK2Jno8/S\nHwtrdfQOJ9xCasyWMBn62NvsYm5FmBOJ+5J7c9+7tQNZXuYMWElGgDJtezx+2EelYXMQTrMMFUG+\nc04EjzhM+H57kxB2weBAnHu659cNAI26ASOiwzZLTaRZGUORpTvjEMWyjqP9CWfZ1aaNervIcNs0\nzTDuezgSjGurSLpeeYXiOj7e+9pP8JW/9Ta9hhJDWn4b2PkujJqoKNIE4bgDd/vH4t4osKpzQINM\nwqTWFeDoBlkEA0irFyAP7kI9+iHtYf15pIUVyNGANcnkaABL9qGXGmIPE3SOPOYyLa9WEEUpeuJ+\n1tsF7DzsMaBhdrmKwI24DXX20jwUVcbR3oiD5NJaC7qh4torFMB6hxMYlnZixoFn6wlaT03gyFmx\nF6+08MM/fcyIHc+Pcf/mIWaXqF2Tfzm2N44xv0IHmTMOcLjbhy8YaMWyhUq9wIdS72gM3wvZb3ky\n9DHqO1PEVNGEosroHo454w2DCO3ZGqOo2rM1+N50+G0XTAz7E4b8epMAhbKJlmhtScFDKHe+CtgN\nhENqc7jdHai6xQeEbldoID6hwSsUg1ojMV2DPLgLaDYyoXMkJS6kLETPp9es2SGGaRujYYgkoUBQ\nsFWsrlUZpnrr3iFqzQKWzjbEvXB5npGvw50B1p+f+nTrhopL15dgFWh4q6h0+OZM5Zwvk6OAZL2E\nOErZ0vbM+Tq2Hg2wJAQIfd/E9iMK8j/58SYA4MXXzyJNM+7Tj4YOesdjPP/qGu+p74asIrC72cWl\na23oIkBCkhE6CQo2fUUsU0EUpVg9W8NYyJF//IPHWFlvT2cBXQflms2yJgAhxHzBJXn5s+t48Y1z\nPF+Tki6R+zQLqUcJwWj//qk91MwizUDEHmaaTagqTSQYo4eAYiAzxKA/SyElDg4nRbQq9JkfZy3s\n7zgwTNpDXVPQqBnwRPKU2+Pm1cPg2EVjtsRIOYAqxxyeCxAq0CroPDMyhFXBSaRhHCbPWlRP6Hpq\nAsdEoIDqNQNvfXENIcNLJSyfb3KfPJdaqLdK3OPVdAUzCzUOFOqJAStAGkVJkvLBJ8sSZhZrLL+t\nGyp8L4Lr+Oz7QdDQ6NQ1VhtFfo2jgwFXKvk1HO72mZn7pRdBRLFwzFIcAJDEU+8MlJcQdz6FWl+l\nx3YDSEoM4ZSMMuLCGVbDlYNjqJNHaAjJkTSro2AXeH4BTGGdudbX7FIF7jjklk/ezonC6d8sr7fY\nKCvwIuxv9U4J4iVJypDm/H4RIgfiOiS4XgxfBI5a1cD6xTp84TeRZhnKVQuSLOH6G1RdTYY+NF1h\nNnprtorV9Rn4gkBpWhqKFZPbL8WSBUWVWVY9CBJ4fswtuZmWhSyjikvEepy/Nk/9/njKTj/cHSAM\nphWIXTBYWqV7MCaRR3G4YimhPXG7kP7MHqZiWC41X0JycBNKSYAPqmeQucfTPdRsxNYiixyqzmPI\nk0eY1UtIM2q72ZaJZtOCLz6flqnwzA8A7JKOOErZZ8QuGdBNlQmacZig2irwHk+GPkxbI9JkXk1N\nfEzGHld0uq6dklV/Fj+erPXUBI5qXQjiOREMQ2EbzeOOc2qIWm0VsPOgi1LNwiNB1Hr1cxeQJClL\nMkyGPrYeHbJDYKKmeO/bt/HGvyUY2YaKUd/DD75BfuIvvHEeo4GDmfk6BwKChk6H8tVGAUmSMvP2\n8nM0HM0hv625Ciq1IsrCzhaaBCy/DWx9G4ouWieXv4hg/yb0WeH1PNmDrOrc5sDRbQo2wo8DZg2R\nvQJ9RNeZqTZiewWS8O/IFJLYqJUVDMbT4Xd+mAJ0WNZbFhyH7ue478F3Y/Q6dJ2Vug1ZkrCzQfyK\n2aUa5lcb2Nk45nv+4bv3cPWVtWng0DWEfszDWykj7khZtK4cN4KpK/BEIBl0Pc54c0DCwU4Psixj\n+SwduFZRx7jvsYyMYeqIwpgrwJmFGjRVguJRZm9pReyNJVQFEsn1EqgqBbA8Qcjtak8S5ApFk1ny\ne1vHSNOUSZu6QeRTHtgrJqTGBUB6gFR4qlSv/CKCvRsw2mLPnEMKKnV6nO2+R0g5UXFkmo3jdBkt\nnzw/UqWA1JqjAChTxRAnGaolGRNV4z2M4wyxUGqWJKBY0mBZVCnuPh6wdzxASDi7ZHD70SrSPEnV\nFGSe4MEUTTRmyhyIv/HVD7B47osolqb8nnze8Wz97K+nJnDkLQeSzwhY8K1cs3C0N+Ivc6FkoD5T\nxGTos9lTkqTo7o9PeYxfub6Ksciihz0H5y8t8iFvWjo0XcXVV6gt4nshZFmGVdBZCHF+uQHfi9Cq\nUVsj8CKomoJzF0mufOP+PtI0ZVSVZRswbQ1rFwQMc/Au3Fu/i8iboDxHXt3HP/4dmJU2jBOtKUkO\nkT0mFI7UugzoJSQLnwdAFYY2eYDUpMxUSnxAkiHF1LpwYhO2kSKMpekhLr77nQM6RAxbg6pIPItR\nVBm9zoQPnZyZv7Le5vcZeBEPjAHg8kurqDaK6OwLj48ZA1ZBg+IL5ng0QauyiLGviv3IMJpEPLCv\nNix0dseoNGxuf62uz+Cbf3iDWd26ocKdBGjMULtFN1XEYQLTpvsryxIMyYMS0Mwpi8eYnT3HkN9e\nP2Bp8nwuQn+vMldk+2GXCH/ifdgFE/VWifWxlJqNyciDIfZUcnbh3fhtBOMeqmuE7up+9Dswig0Y\nuSOgrECSFWS7NMOQKkuA3UTSfl3s4RGa8haSk3sIQE4c+Cm1r3QNiBKZfb9NU4EsS7j/odCVWq1B\nVWSuQqrNAvYf91ke5mhvhNZ8mS1y04xMtUI/PlVV5BBdAPjCr70MzwmRpc+0qp7E9dQEjvzgkyXC\nsefZj5JKMCwN5QplluOxEKY74TWgKDJUXcHSGvW/97d6qDRsJrAN9iZoz1ahCZJcsWIiChNUZfqi\nxSHZmEqyBN3M+/oyKg2b7TsPdnvYejSVbOgeDHH+6iIP4J2Jj/0dB+1Z0ctWDeh2FcG4h/7jjwEA\nhfYKzM/8xwh/9Fv0uv54OlwFiPhXXoJy/AHfF9WsIRaZKSQZirePTDw2TQVxlsGQxtB1nX/HMnWU\ny/Q7rhPD80lqHQAOhj6sgs6tv9KsRYe2yEStgg67ZCBwIz50KnUbnhNiWYgvdvYG0DUZ44zud5Q1\nYCUKNJWyW02VcNSJIAkiXppmSJIUlqVyFSLJEn75336Nr2My9HHcGfJMY9h1UGtN5UMkSUKQWTiI\nKLOfKQHjXoSZJr2GZamI4hSyNHWTLJR1qMpUrqbSsJHEKWpNkpqxSwbGA4+lauI4QbFssXUuVBtG\nsQF/eITune8AIO5N8cyrSEeCECjQVmZZiD76A8A5hNL7mPdQ0aZ8kkwrEpdD1qCbQh0hSGGqETRr\nKpBpGhpe+ywN5B0nhu/HHIi37ndRbRbw6A4BBc5enmWkVb6HAM2rHJE8TYYefC9kc67Z+Tpa8+W8\nCwqcdpF9tn7G11MTODzRmuoPQ5RLGo6P6ANv2iras0Ue4sVhAkWVcbDdZ4noo70RZFniNsjyuRY6\nu0N2RLtwbRFhELNDYG6zmQvsTcYeVKFDlWebnhOitznmeUm9UcbaxTk+YOuNEnRDgyECTS4HvrNF\nGXHy9ktQS8uofPKPMdwl1nboDBH+738HkUMHSaG9AmtmHf4ReY2Y5Ta1qcQBjdEmYNaguDsAAKf+\nBoxwH6kQ0PP9BEGQwDAKKChUhWSKDceNcfsTka2uVBEGCeuNA50AACAASURBVPoCzqzqJFeeS454\nTkhtDXHvZEmCMwm43QOQTtf+Vo/BBzn7vKSIA1FOMYymLO+DfQczMzZLngduhPZCGXGScqD49KMt\nNNsVlhiJowQr52YYiaXpKjwn5ORAN1UY0gQLBt2LNG5B0yrojwS3RCgqHx66rMqrqTKCMOXK8/hw\nBNPUsfWIDtwXXj8Lq6DzQD4MYoRBDNMSbPbqZSjXiqjpX8Pg8Sfi8+dh8uj9UwGjsPoqgkOCVOsA\npJrN3Bu4HUCzuVIK7UXI0QCp0YLrTz3GPVlGvSDgy0oBjhtjcyOXurfhufE0uBd1mJaGq68QgCQK\nE4RBfEo5OvTJxyavNGstqtKLAhAyu1hDsWJyxZY8g1U9UeupCRxlmw6AipUgVQtso6mqEiZOjK37\nQuOobGJw5GBprTkl65USxGHCh10YxGgvVLhlkaUZUi/jtkdnv4+5pQbqBRoyzy4RB6M5W+Ih8e0b\nj7F+ZZEDByDkT3KNpxHJfm99SodQuVLA3GIDQ0EQzLQicPe3kcYhoacAGKUGnO4OyovENjeu/way\nzW/CFHBdnPkFcgSc0OEIq4ms9wAoUCC5d6eH584kTIKzzFkosoQsy7DTpfc2N6Mjy2KcvUAtoDBM\nT0l9JHEK01KRCKmUwI3Q60zQ71LgWV2fgW6oUBSZYaz9owkG/Qm78QVehCROeVAtpRE0VULOhSyv\nqshUFUE09UH3/AQH20Me6K6enyXezAmf7JPQWN1UoQpWO0Ay7Jkyg0yaVla1qg45dsTuJAiyIopF\njavVYT/A7qOpU+T/+l9/HX/j730Fz4lAkaYZdjemAVGWJbQXqhzcYnsVyqf/BLE7JPQUAK1QhT/s\noCAIgObVXwU6n8CoiBbl8mdJf8yh+ZtUmEE2eDR1c2yaQEQMctvMvcgF475LSUizKUOWU7Rni3yd\nJ5csSTAsFbG4v8OeeyrIZmkGw9JYkw0AOpsDDHoTzC4QICQMYnhOyDOO9Nl0/IlaT03gyH0WMsXG\nUdfnweBH39/G5ZcXsX6VesSdgwlWLrROSXBrmsL9XoAUVUd9j/9t4+4+Vs7NIBCHVo4syVsYvaMx\nBZv5KUz10vPLUDWF5SjIEtbmGYiu03OvX6F2wqA7gSRL3KNPtSrZwNoVRuQEky5if4zYpwNB794h\ndVyhvIo7XyMGshisIhgja78gSH7AC/ZDpGkTmXisjh9AKp2F42WM+T869qFpMrc1dF1BmmUceGeX\nq4ii9JQgZBTGcB3KZjfvHZKo4UKFg41VqMMqTomQiiIjSTM4CQXeUjJEIXuMVKGDMJNNHPVCHtLf\nvbGPc9dmsXSmhu4xZby5VH5uKCXJEmpN0hADqBLKnRoBoDFXwmCcoq4LyfPJI0j6EKlB9yJSKhgK\nafkjMd9pzRZQrszhcI+C4n/6T/8aNu91GERh2Boac1MV2u7+GFsPOlNf9GQWMEpQ7QoDHPI9VFQR\nwPQSUF4mZWMAePwt4uGYVIFlfh9oPc8kTr37PlK9jqh4DtqE5FRsexFOoDASrtv1ISsSk2JliRQB\nHt+lqqW9WEEYTDkwOcP/eJ9meGEQIQp1bD48wCVhJbC01sL8coMr9/7xBI3Z0jONqid0PTWBI1GF\nrEaWQVUiFg+89hqJs/niEKo1bYwGProHY9buAYDESfmLdOeTLSyutDjbunJ9BYo69dnOCW35kDQM\nYqycm0GWZZwRuxMfg94E84KdXq5ZcMYBDvYogz13aQFZlrHaa71RxmTk8XN+8doWwqN7FCgCCjZp\nHMJuLE774U6HxPFyqGcckIKu0DlKqxeg+B3IMQ01E6OJTK9ADkUWLcmQoiE0tQyIeUSWZQjDlLNu\nz0+QZcCF5wlhFoYES875ML4XQdPVE+TJAgxbgzsOGBq7u3UEXdeYUR3HCa5en0M5IoRZBgUH0RIa\n4uc0pI75fl99eQFRnJLektBfGnQ9DLsujg6pHVMsWdB0hQPF4weHOH9lgSuScd9DQz2AMqIDOrHm\nERfX2K42y4Bux0WtYaEqdLo8jxwSG0JWY9j3SY9KBMSdjWMkcYqNuzSvuPzCCuySwc6Q6uQBkoOb\nCCZdpBEFpSQOYVba0z3c/lNyB4zFsDxNgDRm9dx47nNQR/egDciDPNVryIwa1OCAVZGl1IemFtmU\nKssU+EHCMjB+kMD3YqyLPQz8BO44YL0x3SSzqpynNLdcg1XQsbDW4PbWx+9v4MK1JW5d1VslFEoG\ncn6l/CyAPFHrqQkc3gmmeBgmuPVj+jJffXkBsi6hd0yHb95GAHAKPeOMA9a3euH1s/DdiJnh3cMR\nCiWLWd3FsoVas8jCfxt39/H4wSHOXZqHYuWSI+EpQbytB0dozVVw9iId6vnBm6OqdJO4DXkrILUU\naGYRsT+GatBBlqk6Im+CLKW/tTWbBA7zQ6c4T+Sx3CQoS5FBxrhKbnNF9yaQRtwi8o0F6EqMo44P\nVxD+kjiFXdJhpfTRmUwiaJrMKLVu34FuqKjU6ZrUsYLAjbB2hSq6o70RsjSDXTI4cKyem4VhTf0g\nwiBGkqRILQo2Uhqhauun9nA8CfmaKlUDui5jNAzRO/T4ORRVxtxSg/+mWDZ5f4slC54TntJWylQT\nmSYqBMVAloFbmqNRiErNhONEqAhYcKJlePjpMX8u4jAhDwrxPtrzVRRKBi5blJXnVWxODE31VahW\nFZhMeRyqbiGNQp5xWFaVzJ1yj3HB+odAXclhD5AUhFXyXFG8PZaU8U2aUWhyivEgwkh4j3cPxqg2\nC0iFh4rrxdB0havIAAlGfQ/nrlEgyaG5+WPPCdE/dk7Z/b7w+lnIssTfmdCnVlUpd2nMsmd+HE/Q\nemoCR77SNINpqnjlzZw5nvAwG6A+9M5GF6qqcJZUrJjwvYh9FaqNItxxgPYCVTEH21QFzMxT+yCX\nF8krknqzjD/+H3+A2fk6Q3pzQmF+yLTmyK4zd7AL/Vggf+ggyz1BOruiXz56CKg67PmrmDz+kK7z\n6i/TISMCR+INkDldqBUadmdHtyG1LiNtkLaSPN4EAJQHBNdNrDlkaonhuGbSQSDPQFVSLC/TdURx\nCs9P0NkXfuuzlG0f7tHjheUykjTjiq5cMYQFLs0WZhYr/P/zzNy0tFMVW16V+QoFXtWQgT/Thy8W\nNFTEweeHCaKI7mU+hA+DmIhsRg7hJYJbjmJrzVUwHngMcPC9CJlcZWe9TC0hzTIe7tqWgGvbKgew\nOEnRmi9PFQQ6E9SaBXYIVFQZSZKiIUyTwiDG7kYXa+v0GjkowT7/Dia3/5je19rPIRvvcfBPnC6S\n4T50sYfo3gXKS8ja12kP/WMgmkAb3AIgRA61CuRoCCOmajXUmnDcGPPCOrbZMBFFKR7coZ8vnalB\nkoA7HxP66/L1ORQvt7jaas4WEQYJy7mYlkbWyKbKigHAtNLO36umKc8qjid0PTWBo6ALy9V4DFet\nIxISJLatsh4RQEFi6Vzz1EG2u9FDmqbMAL594zHas1X26yiWLcRhgq4YADdAh0lOLiuWLHz2116A\nVdRRbVHmTX7YGaMUkzjF9mYHC8sEQVVUGbqp8QykWi9i88EBy3Gk5bOQlwMk9/4IcUiv4z/8NszW\nWTg7ROgzK20KGpaQFAEA5xDy9rfoRRWD2OVFGp4r7g6QJTQ/AZhApusyHtyn4Fhv2tB1GctC7iNn\nlefaVf0+CRrm8516uwjPCTlI5FLnu4+6zOUYgpA6OTz3+9+8hb/5n/0CLJ969JlegazXGU4qhz0E\nxTpGYt90TWE71Dz7V3UF4/5U3bZctVAoGlxxPL7fQblW4J8XKybk4JjbdE6xDR0RNIkye9MEug69\nd11AjzdvdVFvF7k6tAo6Rn2P30fOFcnJkEmcoj5T4teMK1egzT8Ctr/HjH9v9waspZfgPSaHP92u\nQi+1WZsKig7EHhlAATSvshqIKxfpx5NH0EafCql1IZ+fAeWSjkcb1HoybA2WqeDcxXx4Ti3Ii6JV\n1TvycLA9NeOyCjoGRw63bvPvRfdgzDOkKIxh2jq7YOq6ije+eAnP1pO5nprAMXBy9FIVw5EPy6LH\nxx0XtboFSxAE8/6uqiucnVZbhVPqq+3ZKgoli1tVx50hFpZbWLs4LeW3N45YTjuOyef8cLfPfWLf\nD1GuFGCLoXB+mAz7UxIVAJxZp+fMM+fRgAaz8vEjxPe/jsgfo3rhc/TLZhXJwU0U5sUXtnkZ2P9g\n6gBYmKH/ucfTFwjH7MeRGC1AMXDgUjusXaP2j2EoaLSEp4ip4mBvArs0Jc5pqswzolypNg+qgXBK\nzBFUSUyzovVr8/jwewQTvvTCEjRd4Yz2nb/4Inw/gVaigKZnY0CS0R8KWRO5jP7Q5YF9v+/BtFQs\nr9VYEWDc99CYLTHnIg8qEsNHKdDd+nATAPDiG+eo2hDEA12TECUaklQExEGIydhDpWbwUH71fINm\nK+K9ybKE1nwZHSFyaJcMvg8ABcdP3t/AC6/T+9I67yJ5+A0Eky4qy+TDgsoS0s5t2E1qb2Hl88DW\nd6etqnwPvRN7mIRQHAJAJNY8pMTHP/1Hd/BX/72XAADeJIYsAW1RHQLAcBSekh3RVBmxqBJ1U8Xi\n2QYDHJxxAMPW2LBKkiWYloZKw2aUYKVRQOBFeP41QpTlAIG8UHyGqnqy1lMTOMoCFjiZRJBlsMT0\n8koZUZTyl0hVZPg1C6alsYBbFCWnsuaV8234J7wHmqADM29ZtReqTBYESNuqUDbhjHwefh/u0n/f\neOcq/87SapszZoCIhvdv79L1V2yYlo7FVfG87o/gdHcQjKcmVG53B0axAev1vw0AUG79DzQYz01/\nkpCChmAQw6wCkQs5okMpsSvIJAVzOrVQbt6tY/1CDa4Tc6tm7ERIkhRlEThy17eiKnwuNEJE5QKF\nkizBKujY3xQVS7uISE7w4fce4tILhBhLEgom+WGzv91FFCZ4/U0i0imjHUhphFqF7tVgnMLQZSZ1\ntlsWophkNHL4Z9SkaiKz6MD69MY2Ll9fnrYPhaptrg6QpRncUEFFVBzK5BFUswnHpEy+UtEx7Puw\nTJU/O36YQNdl1Jq5AZILu6gxyRCghCBH32magje+eJmDGbxjON0deP19Ho6HD34ARbdR+tLfBwDI\n974GZPHUKjYJyUo238PiPMnrC8a4lCXI9Ar++l8Bjob0O+Wyhskk5rboeBLi0x/v4PXP0yGfZRmS\nNIOee6akJGGftwyJw/R/svemMZal93nf7+zn3HvP3Wuv6qqurl6me4azc6jhMhIpUqK1QZFsSZDk\nyEngAEHswMgHIw6EKAkQOAiSD0aAwHBWw3ES2YoiR9RCyaQk0sMhOeRw9unpnl6qq2u/+3b2kw/v\ne97bpYj2R9rdfYBGd3Xde8+9573n/S/P838eS1UchqHz9ut32NxZUvdEwVArkqvbHx6eMXJ63Kp6\nuI5HJnA4AzFpa1l1SsvnGEmgMIwzsnRueZlmOY2mx3gUqRbD4nqN2SRSKqimbVCpuWdupCROVfY1\nHgTkWa5mFza2FwRwaptsbosNYHG5LkQNJS24dzImCmM16JckKWXfUx7Op8cDbMeac+6tEuXWOppu\nqE2nvLApZjb2xRQyplRSDeQgnVsX1M5AbOJEI9H6GIiWkJFMyJ2W2pQ+thqQz0bolU3V12/UHeo1\nR1nvmoZGksJIAtWaJiRBik09sQzckon7hMQriv+Xg5YgMto0zRRNdXNniWtPL6mhtrQkAog5ug5A\nS3dJF89z0p23GNMsF62/ZI6tRHHGm9+4A8CTL2xyejhSWlXNBR+vMjfJqlRdyuZEUZN3g4tsavcE\nYQBRjS0ut88IPhq6RpLkmHLDXVyuMJnE7N8RwWfryiKj3kxl6sUmq5ID3aTcEp+tAMfLC5s41UXo\niPOSJeRJhFasYaklgojEQJgcC4ZVsYbRkNxbhDxl0ZQU9KmL7m8zkdVYs+HymR/bUX4caSqwnG5H\nPN7xhGqCI1lYSWTi189WT6/8xJOc7A/Pytb7jlLUff5TO2hyBujx8fAdj0zg+HAo2gOryyUcLVPU\nxFmQMo1SdROBkE/wyjaL66IH/60/uc6FK6tqBsCyDKIwYXoqsqv33xT03GLKu5CeKDb53smYKEqI\nwljNeFSqotVVAOzVukf3eKz0gKIw4frbe0wn4ma+dG2DPMv5pnQA/PHNlDQJ0XUD0xPPmZzcZbh/\ng1JDAKlubZEsS9GnonVillswOSZ58q+Ln4+/odg5AKl/Ufg4yI16prWwLJ0kyahY4n2cjkziOFOB\npFa1yfOcRm3O0Dk4HM7ZNWHC6uZ8fiWcJYo1VQTivTsnVHzvjFhgkubkhhTyM0t0+zGdU6HjtbJa\nppJnVKXkyHSWYOgaR8djZYw1GYWUfUdNP99+/xjTNhSuMurNON7vq7kYL0zQsgwtFddjveXTjy9w\neCJ+3tlyaVkxk2QuTDkYCpZUMauQphm2Y7B1RQTJvZsdaq2Samk22ktouqZwAXyDJJJzJob4Pk47\n9+nvvosn1QBKjRWyLIVAiCDa/iKM9sl3flo8zzoWCYAubuXM31I41VQXSYptG8yCFN+VopATIRBZ\nKERXyiZJktNqi+9mFKV0DseKaNA5HFHyFxV9N01zgmksyBzynoijlDs3DpUkjmHqnLvYVkytPJsT\nQR4f/+Yfj0zgKFpVlqUzHMdq4wvlTVJkv7ZjMh4EKpMCeP5TF+kej89Ym456MwUenr8oNurC/SzL\ncix7bhP72lff5RM/co2FlRr374jetGULz/JCriJNMvyGx6A738gvP7WuqhjbMfEqNi988or8QBbO\n5ss4kyNFr01mY5o7l0gmon2l6QbTk7s4vhzoa26RXfp5zL4Az0kj8Ue2QYRS7ghjcheAir5PZvro\n3iphJj6rX4EwylRFcevDDgurVU6l6U+54tBeqSh3vuU1n3LZUv4d9273aLTLLK7VVLVV8kVQLBhl\n01GIpqGwF2Nym7a3RNIQeEPJM5kEqbKSnU4TBp0pXtlWFc2Nt/fZfmJZ9elrrRLjQaDIBps7S/R7\n4zP+4JnpK6aTOblLpf4xts/LdkseEeYeR8dTxQq7/uZ9nnl5i5EMgCBaXoUawMpWg5P9oRJ4DGYx\ng85E6ZVRWsRZfQYnmUEBZKfv0Nh+kWgkJF3MUo3+3bewyyLg2e0LsPoSWkGxjqdiPkdOjqfeOvrs\nACM8wUdUbFlSx3DajEIRVMtl8f5cV1yb/b0Rft3l9Hii3me54iiZ9fULLfyKpdq5f/BP3+Tjr1zC\nKVlKMbexUCZNF1ndFIFjNolkxSGvy+PK46E6HpnAseiIGzHI1knSnEgyYSpli5nvKGbMoDul1iwR\nx6nKgL2yTXOxciaYCAE3kUGVfeEfvrYlWCq2Y5LEKRXZmvjhn3iGUX/GwW5XtWMMU4jjjSSnv96q\noOsaXcmL754OWd1oKxmT7skIszeXJ0E3yI7eJpr2ySQjJw7G9O98F7cmcJBgcEJ15SL6kqDfkkbo\nt740nxy3ffLWNbRMbMDeyZ+Q2Q1G5WcBIccdRRmtPMBNRaskMBbFwJjcPJuLFTzPYEFOSM8mMWEw\nb9v1TiZ0T0bq+u7dPeHFT18mChMGXbHprG42SZNMBc29Oyesb9WZeYIYoFdWsLMBK57YCGM2CMNU\nBaN6zSbLPMlgEq+5uFoXVaHsuS+sVjEtQ/XthRbTpgosp4cjwqRNUhXzENNJQmOyiy4l6D86rtBq\naFR9i0xWOlef32DUD1QF4pVtjvcGKmEojgIrq9Y98T2SATO3BtC/QzA8VvTbOBjTu/VtvIb47L3b\nb1Be2JxL5VslOHrjzBrSvKLOZXe/TWbVCOvPquQoy3J806AqrWQjbYk4OSuPr2mo6iGYxWi6pj5X\n53DEH/zT17n69BYA25dX2L/bw3ZMhRlFQUKl5vL7/0QIaF57ZouVrcbjgPGQHo9M4MhskbFZhJiG\nQTCdi+y5JYtv/LFg+LzyxatiluNuX1UDtmOeAa07hyO+++pNNZzXbPusbbZVphmFCScHfYKZ2NBd\nz2Y4mFJvVGi2RAYbTCPaK1XVcy9sT9e3RfBpLvhzFVWgvVQlmMVzYDVL0SuL6NGMVE6OO34Tr7Ul\nwFTAbW0RDQ4wDr4HgHH5p+Y9cSDe+CLm4APSsmjn5LpF5i6hRRInMLpkvk+QVrBdKUeep1Qr8woi\nChK6QXJmDibPctVyS9OM9rKvWFhXRxt0j8dUaq4KxIPOlF5nRKMl3tfKeouSZ1IOb4jXDLtkTpOk\nJJhGehbgOJba9MeTGF3XCGaxsnVdWKnQOZqo9shYqvYWPtr9kwmTUah+X/YdvPQQU0p7lDSdxN8h\nk6ZW5zcsOv2EXi/ElUQByzb48v/9XX7mVz4OCCHNNM0UlmHaBvV2WQXNo70B733vLs22eM1nvjCC\n2gb6tE84EriIXa4JRpUmzuHWV4jGXaJDUSXa135OYFYSE8kWX0APu6q9mGsGmbvELEipmFKYUneZ\nBhq2LSpLU4eab3EczmnEk2GkAlqtWSKcxeralGoun/zcNWUTO+zNmE0ixZQDuP72Hrc/POCHfkR4\n0vz54Pn4eLiORyZw6IFoEeWGi24sqoG2MBQg7Se/ILK2IBR03HLFURo9MJ+7ALj1wSHVWknZukZB\nzGwcqQokTVJsx1LAtlcScg1JkipA1naEOmutKSiS40HAO2/c5qnnBdMllmC6opMOZ5imoTAPxvsE\nxx+i6QbldZGNRr09MG2Ck3vqfafhDKMm5SsOXhdtqYFoqVnBPwazhOELDSLMMmkypVTIrKchuqZj\nWS77h6IaaNQd0cuXswyGYeN5pgLLXccgSXLV9hgPAhzPUmKAzcUKlZrL4W6fcxflfImkse7dEi22\nctWl6pvkIxmIm4JWakjxxVwz0LQlVlfk8F6YYZoapqkprGrQC5RSL4iAVij1gsBAvLKtNvmS76An\nR8rXIixfwA4PlLFT5rZx3TKrq6Zqv2RZzk/+0otK0FHXNdbON9W1j6OUUX+mJuTzPGfniTVOj0QL\njqBDcF8E9aqk40aDAygvMZOe44ZdIp70scr1s2uoJse/KtYwkmtoV0mTKb5VQQulbpddw3VaHEtF\n6ErFIktzhT9kWU7F9xQTzrYNMt/mYE/K44xCKlWXN74uAPh6q0IwjWgsVFSVcvmpdbavrLB7U1T2\njZavAvvj4+E7HpnA0ddEVm1oGrapKWBwFqTESUxPgqC7N0/YubaC7ZpKq8cr27z21ff55OdFNvXk\ni5tMR6ECOT94Z5ftS6uqwmi0fJo1T2VwtmNiuya9k5ECUr/z6g0qvsei9BCvtcpcfXqLUX/uU27Z\nD7RWsMmyjJq0nqWyitvaYnr0Ib0P/4V4TG2B8e6bCiy3S3X0+gqsf1I8Jw1hcoy2KkyD8iwhWv6c\nmgHQsoDd8TJrS3KzDY7IdYvJNKHVkDpSac7JyUwxbmxLZzpNlB/H6cmMWt1hcaWirp2ma6piGw8C\nojDhynOryhQqSXLCWczKuTmwqkddzJnEG2Z7xNUrDJDT07nImou5gyhOCUMY9UMmYxEYDEOnsVDm\n/i0RsPyGx7vfucvlp0RmvrReE0Oaso/fXKoIL5KRoD+X/T2i5ovcH4r31PZcbFt4VxTrOpkmHN+f\nm4AVpIhCYj7Pcm6+t8/FJ9fUz++/eZMt6RyJt4i7cIHg5CP6t74NCI/x+NY3KA6vvoLlVtAu/Jj4\nD90U0+PrQiaGaEi0/CNqcFGPBwyMLVzbwNZksqRb9AcRdUlgSNKc7762x+WPLas1HPRCJQ8yHseY\npsbKuqyOQ0G1vfS0+BzCRz2i3i6fqejSJFM09CIoF79/LHb4cB2PTODwS+KLOw3FDV8AfZou+vIF\nhXLz0iJpmjHszRTGUWuVeOFTl1SgSOJUGTEBvPDJy0xHIVVpEVrMNhRBIMtykjhVDB6Aj72wTb8z\nprEgWzpJRr8znns2y4qkoPRWayXKVVdlr6QhWMIIqNQUm2Ek2VNuQ8xHTE8+Qjdt3Lp0BCwvQTQi\nR2zyaXkLq/8WSIwjt3zOlffR+7LFYZbIdAuYiz3alk65bCmDniBI6Z1MaCyIysmyDb73jV0uXJOb\nkvSu7kjwfNCZsrheo3865b03RMCybYv17bbCAo72BmjbCLlwAMPGMCv4VfE+RlGJKJozu0xTYxom\nQlBRvoZh6ty5fsIbr4l212d/8hl2rq7y9ut3ADFYWWuW1MyFpkE+2AXpnpgDplnBdQXmkWc5nW6I\nIysqgOP7Q26+t89LnxXmT5NRyFvfvM1TL24BAjN49uULKvPuHo+5dG19jpWlogIw7RL1LSEhEo2O\nSYKRMt8q8A/vVLDpsu2fRD94HUJRNSat5zDHN+dT4maJWn4ffdgnN0SwzqwajlNWgdY0NK4+t6Jk\nYaJYMADDB3zij/dHqhorAuPJvqhqDENnY6dNmmbMpGVwHAuzsqJFdbw3wPHm9PH8sVbVQ3U8MoFD\njwW4W3LquI5Nry9utOksob3g0XpFDIINhhGGobF7o6Nu+FFvRppkZ6ieD/Zwkzhlf++US9ckjXUS\ncXS/p6TEXc+mvSQyXOU3neX8/v/0Gn/5bwkbV69si6AlN5X+yYQois/gJHtv35v7dyx9j8GNr+PW\nFubA6qSP4XiM998HoPL0z5Hvvw5doTLL4J5g38hJcuPwVXDr5BURaPT+ddL6VYV5JFYLI+mjaTCU\nmIZrG/i+pa5fvWpTKVtKpj4IYGOnjSsn8U8PxrRXKqxvi8y91izxzut3qTUqSrDRKwvjoELjqdrw\nwMjmQ2+GTVpaVyB+pWSQ5ZraCLvdgGbTpbJdpyNnEQxTxx0EfPrHBDGgdzrB9Sy2L4sNeTwQrceC\nIdVYKItrUwzW+RtkzgJNRwZVHRYWXE5O5pL8Fy63OHehoUDmPMu5+uw5NbdRXyija3PhvyzLeeeN\n2+xcFpk7p+8xuPVtTNsT3vBANOpg+y0mJ5LZ9sQX42GlsQAAIABJREFUxPpNRJtOf+d/UxgVgHn4\nddANkoWXxM+nr5PVdkhL64SGuL52PkJLULNLrmtSKVucymvlVyzKJVO1quIkw/UsFTgKmnhhPZCk\nGXeun2IYuqJUB4Fouxat1ThKyLO50dNjv/GH63hkAkf+gD1qFKZnNPOOj6bU6lIiYxpT8m22LrcZ\n9sVN8dpXPmD93AK7t0T/9tz2ohryEy+psbG1qHjvZmxw4709BRRGQaIYKL0Twel3Sza/8ne+oG68\nNAn46Po+65ui1Nd1jVqzTKUqVWYtg+aCryS5MWxM2yOZjckdaWV65QsCOC02v+O30DZeht5H8w9r\n2DATnyNvXVVKqiAc6TAcNQSXpjmZUaNzNGVztfAjyUnQldxHpxfiuQa2/OxV38B1DTWI5zc89m71\naEuhP9s1efKFTWzXVNloIYinFdIdmkZumvMZk2iEVh6TFc6FeUYczzciw9Q5PBhTrc8JDEmUsnyu\nrthdo/6UKJi3Tors9/YNoa20dXkBPHMu7TE9Jvd35j4uZokkzBj0Anz5XekPIqHKK6nHtaZHnucq\nqTg9HJE/EJwAnnp+W3mQoxmYtkeepURTqay8+RxYJeyGfB/dm7DxyXnwL9ZQvs+8eh4tDRQ9N6vt\nkNlNMqtOFovrG5s+tz/qcu2qxEnylDjX8SU7rNMJqFSsOSVdKuUWgblccQShoSqur2UbtJZ9ob31\nAAliNon47X/wNQA++289T7lqP25RPaTHIxM4MlMC2ZEYRDo5En1ov+aQZzkjKZhX8m3CWSJUdCXw\n99zLO4wHAYvrIjPPs5w4TlX1kMRCYbdQz+2ejvjU559SNqWGqROFCTffv69EDAvl1oJxMxkGLC7X\nFf3WMHW8sq0qkIPdLvVWhaU1aaHq1nH8FmkSksxEMBq/9/uUWuvo0hQIt0F048vYDVEJ0dgB2ydt\nPq2uix6eKrmK3FtBS6aYIzFsNrV2+NbXdvnkZ7cYy7aQuH6J2hCmo5Byuayy7ijOcB2D8UhcT9M2\nWN1qYJpyw5YZeP6APMWgO1XXEmRrJIsfoJzWiCs7Sq212BCLaXXT1LAsgzTNFfYyHcec7A9V1lxr\nlvHrnqoa41iQIK4+I5haaZJJnws5D9F+jkwC5QA5UuOq5dHrSBZbyWI2TfBlwDrZFx4u6nsRpZy7\n2FaV1GwS0TkYKW/6Yg2TaKoo1YOPXqPcWseUro74q4Tv/zMxTV6soVsnWf60uJ5RF3RLYRypfwGy\nGGN8G70khl7fefOEK1dbSCdjJlPhSTO/3gZplqPJQFH4jhTKCZWaS8m3FSaV58BsTjMGkRwZhs4v\n/s3PquuZJPm8VTXPTx4fD8HxyASOInvSNOj2QprSjCdOMhotj77MGjuHY+7dOmVju62UVJuLwk/5\nw7cFcHrt+XN4ZZv33hDthHPbQrOn1hQbXaniMuhOVJupvVRD1zWmk5Cv/Z6QPqkultm6sMzyusju\nq40S/d4YPxOvcXCvQ7NVJYrmXuPDwVRROVmGNAlJoxmznsiasywlHHcwXfGY2oVPCCe5QuQw6IPt\nM7HEZlmJboKmE9fmcwC5WUKLxYZRNgNe+fx59GRIrAsMo+QZpBlMJNayeb7GdJYwmcxFDCejUAXd\nk30BHt98V2AHq+daKigqCRfLONP+i8IELUlhJLGZ9DaObjFrvKje53gS82Ay61dtOidTRSYovDaK\nza/kO7zz+h1lnNVcrDDoTBUrqNHyoN+HnsjsjbBPvvNXlLQ7ZOzdn1Ct2YoZp+uwe6OrgpFh6Bzu\n9s94fNy/3VWBxG94tFZ89bkxHNIkJEsitYZpHBFP+pieWMP6zicw7dI8iOYpGA6BKTAkLw3QsgFp\nRbRaM7upZPHtTGBeT1xr4+ozZqkIcJ4rPEOKVlW9ajOZJooJV/IdojhVGN7hbp/O0UiRF7yyTRKl\nfOn/+qbSWuscDUmSVClCb24vUfYdHhccD+fxyAQOJxUZWWQ20TSNWlVsGAdHMyplXWnsVGsOFy41\nCaKUiQT+DEPjnd+7zdMfFxncoDPl9GjIk89vAYKJ1VxcVoEmmEZ4JYfd26IlVCq7WLbJlafOqf52\nFMU4rq248JqusbjSUK2U5bWm8PKWm1R7VKNaK7N7W/S6uSpYU2GWYjjiBjd1g2jSJwnFebPrf0Zt\n7QrhqWhVOU/+PHl5jXIsAp4WDUDTH/ByaJJUdhSWoCUjNMNlkpQV5bTsTMkdn4nsItmWjq5b2IUg\nZJJx64NT/JqjrlV72ee8VA6ejkKaixWckqUm74/3BiysVs9QZXPLR2vuAJCjo6dT7FBsrpGzQhxn\nLLbFRtjrR9i2QbNdUmy5ze06cZLRk5tjqWLRPWqqzTCJU5qLFUWAyPNciEEWG7RVwhp+QNaWHtqp\nyeqqCJ7DgVjnVsulUnM5J/Eby9SZzRKlFDybRIx6s7nr4yg8U1mRhliuT56lcyMnxyMJZ0q8svPe\nV2hsPk3YuSPWsHYeDJvySHiwkGdoeaom3vWoS+xfxshiNNmydMyESeSqqrBZjskNV0mI2LaOadmU\nJS4VRClvf+s+V54VeFBdCkYWKsCF0u1P//IPqcDrehbmA74r33n1QzkAOP+4jyVHHp7jkQkcw0SU\n/lmYEEYpUSRu1ErFIghSJaEe6BrjkRA0LGS+kzjl6Y9f4PrbYj5i54k11s7PZad3rq2QJhnfeVW0\neJ56fpuj+z2FV1i2qew3C8ntJE7RdaFfBfD6n1znR3/u+TPveTycKYxjZaPF7Q8PWN2QHgrTDtPO\nHm5tEX1B9tx338Eu16l/5j8CIP/oD9EqSzhXBHDK4DZaPMXwBCMnLy2jTQ/JXeH1MHUv4k3ukMth\nychewkoGVPSUzBYZ8DgsMx1GCsPo9SNMU1NtpO+9eo8nnl9VzKNKTbjuFRRWr2xzeK/PeDhTulGO\nZ9E9HqtN1XZM0HTyTGIDaURSv8Ywl9l/kPL2t+/zgjTjMkyNMEwJHvDJ7g9yRr2Zqjgcz2I2DUkT\nERgsS3ilF5uhYeoQMcc4DJtw4dMEcgYzilKCKMUy9TkeFqZUqq6aoh9Fgo1XJAP373S4+NTqHDCO\nhReJavHMxBoajkdz54cAOH73KxiWTesLvy7W6MaX0Bwf5+rPi+d0rgs/jomoxtLGk5jT3blrY/kS\nzvQemeUTItqzTjajoo8o+cUaukSTuT5bfxChaXNBwuODMeefWCSU7cn7t7tqsBKEoGESpxzc7arv\np9/wmI0jhj2RUTzz8R1sx5zTcR8Tqh6q4wcZOO4AQyAFYuDjwG8A/x5IkR34O8Dvy3//J8C/Ix//\nN4EvAz7wZw+85jrwj4C/9edPVtUFpz2wFlmvlNXks2XqGLqm2gvDvhA4bC1XVEZ8cLfHxoUma+dF\nZnnrvWMVaAD273ZpLviqmkiTjEbLZ/lcXf186/1D7t+JVOtp7dwC1YanAPX2ck2aN82XJArmUthe\n2ebClVV6p9KvI5kSB2PlUQ2wePUz9G6/weDr/734zCsXme59j5KkatK+OpflBrTxPtg+WiiB2SwW\nfg4SaLXTUPk7FCCx4/gYusnRiRQ9PByxsOKrbHVtu0mS5BzLGZjVrYbSkQKRhZuWQa1ZVtnqqD8j\nChLV3hpPIjJjkdyVEvJpiB51qTnSs4QVfuSLFxRLyDJ1TEPgK8eS9us3PGqtkjrv7o1Trj6/oaa+\nT/ZHQqFX4lBZmpO7CxQ5saab2J1vgRw+dB0LM5C7n5Lq0OkcjpjKc9QXyrSXK0xGhX94Rq3pMZNt\nvCgUTKOiAiEJSaIZcTDGsEVAa20/x/jkLoM/E7LqtY1rTI8+pFQQBXZ+QnhxyABnHHyd3HTQZOAo\npQFpeRMtmeJqYo0yZ4Fct1QladsWpqERyMBw870TVrcaSpLeMHUMU1fEgrXzTcJZrIYpi+9lmszd\nDUNpM1B8X9/57m1Wt557LDnykB4/yMCRAz8MdP/c//138s+Dx1XgF+Tfa8AfA5eAEfDsA497Hfit\nv+hkBVMoDnOybC7pTZIxCRJqcsCtveAJX+jRHDxsLlaI40yV9mvnm7z52u25NpVtkuc5y7IHnKYZ\nN965TyjTVb9eolR26PfGLK9KxlKScuPd+0pN1KsIILx7JAKDYQob2YN7omUxHs7YvrzK2vnCCc4n\nS0KCgeD9A5iDY/IsoUjUR0e3BMZR0Fp7HwnK6ZLYDDOngZZM5zMAknlWTE/nus1pN6RasXEsS62Q\nYepsrok20dpqicOjmdow1jaqpGlG1BZtnYL7PwdJhQBkMIuVztHiWk0o4soNdW27SYwD0n/DmNwF\n3VJrmM1ykjjDlGuYpjmTaUypZHL5yUV1vuksURVFEaCLlpvf8JiOQnon4uvX68xYuvQEhpQYyS0f\nLR6RID53FudCLt48K9x39ZllZY+apDndbqDansVRkYN1aWoRhcnc195tkGcpweCYVE55W+U6aTRF\nk2q344Mb8rGSEXX0BhgO2rL42qfeClo0UEEh1y3IUxJ3U+ELg2GMaeqUS9LISdoIrCyJNVxaPMfR\n8UxNkm+cqxInGVkmfj+bROzePFFijUksAm6tVVJVt2HoaK6mcL0nnt4kChI0TbzGY3bVw3X8oFtV\nf9G36S/6v58B/g9EZXIHuImoUF574DGXgEXg63/RiXSptFoxLTKrrrwJ9vZGNJqe8pY+PREub4PO\nlOaiuNGSKOVwt69u+NXNBk++sMnhPZGpr223GPVm7N4UhZJtm6xttlU2G8cp1UaJ9kqV0wOxkXoV\nhwutVfX+CqvaYjPdu3OC69msbUpZDk1jPJhx+wPhC/1Dn9qhef45pt09goHANNJohltbVAOB6Aaz\n7h6T6/8cQDgDVjdgT1Am9eqGmEQ2RWWVtl9Aj/tKWvy4l1EuWbj6jDyT2kiZzXSWKnXcKIpVRi1+\nnxPOEryy2DzDWUxjocSt98W1aS/7BLOYyTBQoPJsEuF4ltIG8xsedj7Cuvn/iBeNRrD0nNIbq7kT\ncqtGJqk6w1HEbBJj2zr374nru7hS4fRwrDANXdfoHo8V8215Q3i+Fx7wpr2CffDHcPiGOKfjE1/5\nNexEBJZcM7DLNYajhFsfimC+udNkNI4w5ToHYYrjGmqTXD5XZzqK+PBt0VbaeXKFKEhY3pBBoHmJ\nxvlnmXX3FDieBCPc6iKelMbXHZ9wsM/kniBVlFrraJufIb8vvvp6eWkeVICs/QJaOsWMTrjXKwgN\nJhUnhUyKK2Ym01mqCCNxnHFyOKYhXR6TJKd/MmFR2gEf3Jnw1Eubczl4pL7VOFStwFsfHhCFscIB\nqw3vjN/J4+PhOn7QFccfI1pPfx/4B/L//wbwVxHVw38M9IFVzgaJPUTl8eDxi8D/+f1Oltii7TEY\nRphmwp1bYgNpL5bJ8pxTqePTPR7TPR6zsFpVmWXhUFfIZgSzmMPdnmKQHN7v0lqocXosgtOla+uc\nHg7OiB42F3wBHkYiYAUnEd3OSFUg5arLV3/nu7z8eTGwtrLeIo4S1RKLopjD+11lO8r4z0iCMfFs\nTHlBsKSc6iKTo1v07r4FCFl1y61QXr4knuPWYXhPBA8QrCW3QV4VjBw0HfJMAa0rrg+5Tp66xJYI\nYG56hOvOs3+AhcWSwjA0TcPzTPyy+GotL3qEUcb5KwvyWqQs+w7r241iHxNUTlOnIauUQrJDq0nx\nRc3i3f5VLrbE77uDFMtKOTwQj3M8k1LFYjiIVBto73ZfDODJhMC0BJOoEJG0XZP+yQTbFgHu9vvH\nXH3ehvqWeFO1bTKzSiSnqQ1DI5xldHoha9JfJAgSkiTngzcE26697NNarqhMP46EwvKFq4IYEE5j\nZpOIQUe8749d/lAIGE4GKlB4zXWmp3cZykpD0w0M06ayclG8aGVV4BzFGk5PhYpAW3xvcrOElk7R\ngyPOVWtqjfLEJdBFtepmHZyyRW6J309mGhtbNaWmUC7peK6BL4Up259YI04yisHvJMkJpzGNdlkx\nCdfONxXNGsR9VLQiQU6OG4+Bjofl+EEGjk8CB8AC8EfAB8D/APwX8vf/JfDfAv/u93n+n2+e/gLw\nK9/vZH/31/+GeJLh8ukf/iyf+JTQ/hlPRL/Wk9jCoDtlNhEb0IMeHV7F5uCu1D2ql3BLNnt3RRa9\nfXlVYRAAx/t9kiRV7ZmFlRqD7oRKzVWKusPBhFLZUaV9vVXmi7/40tzhD0gTSwGtNhaLK4151qf3\nmXT2iCdzWXW7VMcq19UmFAcjwf9vymAz7YDpkWwJEyDz5Juk9WuqNWWNrpM6C2pD0bIA8oxctzBz\n0c4as8BknGDoRb9cMImKTefmO0dYUhUWxFCcY8/5/soxbpIoL4eCnltUdIPOFPISuS4qklwzuNq+\nQz4Ur7Ng+WR2Dfe8eJ/9QYSha7iOocQU00So1BaYURQmREHC3i2BdZV9D8s2VCBxPQt0W7GqtCzE\nOf0GtillZKw6ltPAWCqrKfpKxWE6TRSO0judCE8Q+XmTOKV3OuHoviAjXH9rl6de2Ka9LDf0aMSs\nd0A86at2o+X6OJUWTkVs8nmWipmOugzuQR8Mm3xRSJRok/tk/paaOdGDI3KjTFrZUbRcLYvJDQdb\nF0nLNGvS60bouljTctlkPIlVIL/59n0cz1LXrtEuU/FtBaYX8zGmbSgmXO90QnvZV99fTYpKZs35\nUObj41/vY0yHCZ1/9QP5wQaOA/n3CfDbiNbT1x74/f8I/L/y3/eBjQd+ty7/rzieRnyWN77fyf7T\n3/i7AGRmmck0YTyZT/PevzdkYVlsdMsbNfY+6pJnueLbG4aOZRmc2ymy5oQ0yZRf9YOZFgj1UMs2\n6ByJtsn9u6c0W1UhOSJvxv7tMYsrDUxzrq10sNtldaulXuef/L2v8omfFH3+aq1ErVlW7S+8FrXt\nF0lHxyo7HR3dorrzKXI5/2DaJdJgjNG/I54j2xrmrd+Wb3QLPTxBf8CidZQvUGGi3kNmN0nyeaYY\nhjFJnDGWAHE4jVlaKRONxK7z4qfOYRiawhL6g1BIWMjBvDwX2f2tDw+UREulbGM7pspQNV0T7n+j\nQnwxIV3+FKknRQ51i2kw9yjXNej3Q0olU1U2nUPRQnmwvTIeBGxdng/1RWGifOKvPr8BYV9NaOfl\nJaYXfhUrFVVkatYloSJTramTkxl+1Vbe2g96ugAc3O2yttVSWXl7qUbZd+ZzHLZPbeMaeRLRvyco\n0eOTu9Q//m8LLANIg7FYw4FUPC61wK2jHQpRRKoboBkYY6HrlTkL9LJVqnmq6LiZ0yaMcmyZCA2G\nAZqGkk65/VGftY0qY9lyfO7lDen8KNawoBgXrpnLGzW+/gfvs7G9oKrqsu8QR6m6DwpChGJVZY8x\njn/djwotKsz3n2NufN/H/qACRwkwEOB2GfgC8J8Dy8ChfMzPAtJ4mX8G/GMEaL4GXAS+9cDr/ZL8\n/fc/crnJxH18W2ciB9qOjmec26qpL/zJ4YT1C80zWfJkImRIis2wAMmnkj0zGYckUao2sm5nyPlL\nyyoIjHozKjUX0zZIB+JmbbarShQRxCa2cq6p3kcUJixdbrGyIVpCjmexe/OY1XNyYa0SXPhJxn/0\nn6nXqJ5/kaTzkZKvKLU3SYMxePI50Uj82fq8+Ll3A83qE69/AQAtHlPN9pikYkMvx3fRdAsL4ekA\ngr7sOAZOMUkuN5OmJBdMpwlJmikJEtsyyLJcMXhOD0e0ln3OP7GoWjppKnrqRYsK5ER0gfJnKXrU\nJXPk1HwWUDbB0IXcxc0bPVbXfembLbLs9koF1zUpBBrH45haqzQHphFU4aJamJ94fks4k48UNdkM\n9ql5Fe4cGkqqY2mpRBimCpeq1hwcx2A6k0QLyTgqPmdrqUzwQIWCYaNd+hmGX/2vyRKRuTfPP0d2\n71WFeZRa60KL7AEcg9E+2eW/It7u6Zvo0Yhk6WXxO02nkd/j/ukKa6WBPL+Bq1vkmXjfzaYj7H9n\n4vq2F8vkeU69Orf/HY3jM/eAYWhKBDGYxjzz8jbVuquwwSBMOdkf8vrXBSX92rNb1FveA3azj+c4\nHqbjBxU4lhBVRvEe/ncEvfYfAs8g2lC3gX9fPuY94Dfl3wnwH3C2VfWXgS/+y05Y+Ffr8YDUWeBo\nX2SkK0seQZipSehmuyQHx2a887oYlFtYETdtERiiKBZGS7PCzCjGqzhkstavNyqcHAzwZWCwXZP3\n39xl54k1tWlUai5RmPDuG3cAuPLUOTr9uRyFZRtsXlhSVYvtCKXRog1C0Icbv0NlYZPBfSFq2H3/\nKxh2CX9JeHpgOBjnXxA9cSCfdtCsEgyErwKOD0EfcyQGBMP6s+h5hFv06O1tZkGKoYMpG9yWnjEK\n0jObwMH+WA38WabObJowle0cr2wRzBKljgtihuL2+8f80W+KrPknfvWHMG1DYRyzSTS3RgVII7Sw\nQ17/mFzDPplV58P3RVvqwsUGUZTRG0Q0mgLoD8KUzvGU3RuiNeU/MIdQXN93v7NLe0kEhrXzTdBm\nZzzYtSwg12Sw0nRmaZmFNooY0OkEaNrcKS/Nco4PJ2pALpzGahYI4L3v3eWpF87P1XHtKfmHv4O/\ntE3vrgC/e3ffRDcdSi0RvDWrJPTGCtB+NgLDQT8Vj8dtwORI4VLT+otYVsiyB7EuvgfjcYzrGkqq\nxbUzJlE2r17JGI7i+UCgJWi1o1EhsCk8SAqGXByl2K7JwZ2ecrDc2FnAdkxe+eJT6vMmSf7Yk+Mh\nPX5QgeM2IkD8+eOv/kue81/JP3/RceFfdcJiDkGLBmh2k80Nka3GsTAlSlOxIZ8cTVlaKeN5Jp/4\n3CX1/O7xRG0C53bWyLKcG2+LeYhqo8Txfp/FVRFgSrId8eDm2myLdkaxyXz45i6uZ7N9cc6sGg4m\nikVlGDrnLy2robjJKKTemquPovc4fvuPCIcnlBfkIJw0/QmGgmXl6QbxjS+rQTqn0hLT0YWUh9sA\ny1NAt54FGOEJmSUFCYMjTLtJbjjkiIojjE0lOwJwehqzujbvbeu6Rr1mq9+HYSqmvNfnQC2IiurX\n/rbAmYb9GUf3+qxuiffRXKygZQfz95mn5IvPoKWT+RrqLk9cE5VUmuRYlhDt6/eLvr1FyTMp+fPr\nOx6G3PlAXJsnP77BwmqVb/+JKMfLvgPVIzXjQnVDUFyLKfp4jOMvo5ETSofEinRCLHCodluw84ph\nyMAxMW1DbZ5/6ReeZ9CdPSCrHtG58RrTzn3siiRJtNYJBseKKQdg3vxDVUU6lRaa155fGykjU6yh\nnQlqbq5bWNKEqm77ZLqPVNNnPDPxXEOxqmYzqPqWYoNpGvi2QS79O8IwZTxJFG6lS1tZXdM4/4Sg\n6MZRyne+dvOMH8eZKfnHx0N1PDIrW2RkmbOgFHJBTD5r2pxnXqk57O+NaLZLqjU1GYVE4XxA7YM3\nDqjUXNWiOD0asnKuqdogmq5x58Yht6+LdsOFJ9bYurjEbBIpjGN5tcnp8UA5+p0ehyRJqpRTp5OQ\nUtnBq0jK6jjk+LBPe1FuwJ/6Mcr33iTPUiWrrukGbm2RLBbvIxx3MO0SZlMK+V39NYzBB8JFDmA8\nI73615QCndV/i8xdIrNEANSyWAggarpqVTlmwjjQlax6o+GolgeIKe40zVR/3DQ1alWb6azwbcg4\n2R8ym0Tqei1v1HE9S8mPG6Y8XyH/YThM/OcoTT8Qa2g3ycwyiVzD/iAiz8W5iwD2xqt3efLjG6pN\n9MEbB0xGMy4+JQLJ3kdd0Q6UopEl3xH+3YVkeXkJ8lTRuFN3iTyHaZApjaeqb5HnKLbd/XtD6i2P\nQVew7QxD52R/qKauv/XVmyyvN9R3IL/0CqVbXyMJZ0py5MGBToAsCcl0A7e1JX5+8q+hDT+C47fk\nGu6T7/wMuQTxzdFNMqtO4G7j2oXNcIyejMgk6aHiaUyCnK7UZ3NdkyjKlFyLroMVpopVaJgalbLJ\nUF7b2SQSqr9hwp98SXSTL15d48ITK2pI0JL6Y+mC+OyPC4+H63hkAkfmSDpu0sC3YnTZy27UbYIw\nY/e2yOg0XaPe8kiznHs3BcPg3MUWaZIplpXf8KjWPfXzbBwRhYmyBG0v1djYXmRJUm3DIGIyCin7\nDn1JxSxXXVbdNu+9eQcQEg1pminzp1qjjGkbKmtzPYv2SnXeo7/1e8x6BximjVUSG3313NP0br6G\nIdVxddMhy4opZzFlnK58ClNuyHkSogdH6MlY/WzEQ1WdZU4bLRmR6xZxLqeKdQ3fnuAuF9hBwsKC\nzWwmzvOnf/Ahr/z4JeJYym7sjjBtQ7U5ljfqql1X/P3u67usb7fVZ+0cjri85s77+rMOlZM/IpGq\nvt2oRd2dez3UazZRlHF8MlMV2eVn18jznI/eFZn7hWtLDHszFZxqrRKTUaiA6yRORbAoMvnJEVr9\nAtOaGJa0DNDTANt2WF4U13c8idn9qKsCR6GVVbSATNug1iopC+Jao0zJdxSIrt35MpPju2i6geOL\n6qmysMno6JZaM1sqIBdrph9+8/+3hmg6pgTHiccYUZ9SFpD4omI2xzdFsNXE9Y7jjLId4a3IIc3T\ngFbTUTjUW9854MnnVpSUyv7uENez5s6HUnMrTTJe+mFhYhXMYqGIK6//V3/3TX7ql19SGEiWPTZy\nepiORyZwFLLTvt8mx+TVfy5utOdf3sA0NTXsZ9vCRlPTNTXAdOOtQxZWq6riSKKU7vGY70p3uXqj\nQhQlbGzNp5Zty+BoX5xzfWuBKEiIwkQ5zkVBwvtv31UyJV/6h9/gpS9cVVTNJBZg+92bonWyuFyn\nueQr/wOGQtwwmvQZSEbO0c230HWNSkO0u6orF4mmA7QtIXWdn7yL8d7/Su7Kvv3iU4SNF/BO/kRe\nJIOstMrUFTMDXnyfiXuFWZBSzHIlSUZ/YmHLbDZNM3r9SE1Pf+YLFxmPYyX0t7BcwbR0taEc3hNe\n42XfUYyn1a0WuzfFwCNAY6EiKMGxyNwJRzD+Gsj1AAAgAElEQVQ5Qq+I69ko+aS5xeHx3Add0zW8\nkokrQfogFFpMK5vis57sDxn2ZqxuiZ8no5D+yUQF4nMX2wKMj+ZYDJMDPFtc22npKrblEExSLCkR\n7zgGy+fqVOTMSq8XYtmGes3u7TGblxdUgDNMnb1bpxzeF5/j5U9GGE6JdNJneP8DuYbifH5DfA/q\nG9dE63FJdnbH+xgf/CNyObTJwjUSfwdr8P58Db1l4tqTyi898q8yGEaU9GLWBk4GGpY5H9zs9SOl\nJ/XkcytMpjEzOSTbXq7guQa3b8xFHqoNj2rDU3MzySAgy3KlwzWTGu6FgZP+mFX1UB2PymrmwVDK\nX+Uxw6iirGSTXGcwiNSgl+saOI7BbJbw9uuyR9wus7TqK9AzTcV0tCN1jzQNwiBVNMuT/SFxlNBa\nkliBYxLHqZgjuCPex8pGa45XAPfuHHP+0opqVR0f9tjamWMcUZicmfH48ZXfYfj+l4lGHayyyMzz\nLEU3bXR9zoYBqKw+If5RaokeviE2V8pLsDgHMzXdZNT4DF4kqZ95KtpYD5g7hbmHbmgUii3jaUoY\npqqvXylb6BoE4Xyq+/r3DoRREiILL/rrRSswChJ6pxM1OV5rlbjy5AK1XDCujZEI0ElTyGzkukWk\n+fNsNs8ZjxPBcJLAteMYxHHGnY8E3dayDeqtOUBeeEUUgLBjG6x6+xgzyRKfHUNpmaghzqknIwK9\nhW0kqvoq2nVlKTFiGhqDUcTNd8Uab+w0BVlAZvLF3EoxzX4l/m3G3/tNpr0DLG/u6qfpxlwtVxo9\nVQrCQ3VD2Ntq5nxNl55V0/8A0eKn0WcHio5bzOIU8zmRVkLTUNdvOhM41EgOmzbqDpqmKUfA0Tii\ndzL3TNF0jWrNIUkzRYIoAmahb5VnOesXmjTqhf9JxmtfvcVv/PKv8/j4N+N4my/B94kRj07FEYjM\nPTdL1IyAzlBshJWKrrJjEEBgFGUEoTDhgfnQWqEW2j0eU/IdBZbv3jwhmEVs7oiKo9Yq0T0aqcwz\nTTKCWYyua6pNUTyu8PhoL9awLAPHlXLv9zosLjeUTHW/N2Zje0HhKpQXSYIR4birvBvsstgYYmns\nVFnYxGhdmLd8GjvkVlX1w/VbvysCidSyyrOE0vQ9MjkvoYenZKYvNxwp0a2NyXGZBuJ9jEYxzYaj\nZgBOOwGua6iBykbd4cK1JdUiKpdNhoOI3RunPPGMOI9t2XSPx0oU8u6HJzz9/DJ5JHWiSqsk/mWF\nU2E4OPmYmSEmsjVNVHlRPB+6jOOMySRWm3TBiCuwl9PDEZWqq9ZoYUVWckXaXVomqV7CnApmXa67\nuHrMzfs+Gxviff3Z73/AE89uYEppjmGYkuU5K7KqKY7i3E7JIs9yPnxTJCRXnvVJk4ho3MWwRLVV\naq0Tz8Yq+BuOh3vuJbBkYGhdBc1QumLavT8VgaQhiRzpDHPwLnHtSayRYNNlVo3cLCkFXTufkusu\nUzlO0uuHtJsOuQyIB/sTag1HzavUfJtgmqjWbLlsEcUpb3/zHk//kCRm6BqDzlRV5cN+gfMUdFzt\nMR33IToemcBRHHo8IHWX1JxBFGVEUUZNctjzPOfenQFl3znjK/7Gq3dVBQFiwKkIAqZpsHVpac6W\nyUQ2e3wgcBNd11jbamO7JtuO2CyDWcxv/r2v8pmffUa9RhQmim771PPbuCWb3/xvhM7Ux3/2Gq5n\n4RQCesdvE466Z8Bxr75C7+6bisppLF4lO71OOO7I37+Hdu4z5A1h3JTu/DxGcASRwGawa+hhF13+\nnNSuQBqKQCOFEKPMxtJ1AingWC6ZpFmuBPJaTVds4rKa6nYCbNfE88Tn+vDtYzYvtdB1TYHq+3d6\n5HnO/VuiFXJ82MPOp3znPfGc559cwBjfRpPBS8sCMrupMnnL0hlPBOW0eB/9QUSaZHM7X9vgt/6X\nb/CZHxcV1rvfuUup7HBOBnvT0MntGpmc99HSAGM0n+PQ4z6T8lOc39KVztlLn71IveYopeVed0al\n6igWVe9EyLp/7Q8FkP0zv/oyR3sDltZlIO/fYdY7OOPH4S1cYPLuV9T0v7twAUb7zKQfh3v0Ntrq\nC+Qrcm5j6wuQxWjSDhi7hh6PcE7+hVg/kGvoK4pzb2pTqxpKqblcMs+A16trFaIoPePpbtoGti2u\n7d7dPu1lH8s2zyRT40Gg8B4Qw55K3PKxSu5DdTw6gUNmaPrwFnpwSqUhNuz9jo5pamqjGw0jmotl\nZpOYklsI++lcfGqF62+K6uD8FZGhFz36UsUR2ZTctL76pe/xwsuXVaCJwoRRb8byuTqGLwH1ScTn\nf+njqoJwPCEvUrSqCg2lX/zbP6p+P+zPCCXI/Mx6XWlUqbkNBCBeWMlS34LNz+Pd/SPx8+wUOtfR\nixZGZR3SmXIITEvrmJPbJCXxuonVItEy3Gje27Yti8ksVderM4yo1hzC4vr1A5rtkpoUrzUc0iRX\n5kfhLObNb9xl59qKqtiW1msEs1htMpeurWNM7/JS+VVx0jd3heXtRTH0Zk5uo8+OaNaFp/v9Xok8\nF7TcD98+VK85m0TUXMk2cg1+6pdfUmt2+al1vLKtjJzKZRPz7pfg9D1xzngKrctoC7KVNzmgEo8Z\nVj/BrRui/VXyHQ6nEyXoWID9JSkxb5glTNvgk1J/rHAlzBRdyaaysEkSzahf+3EAgr3v4NYWSaWM\nDKsvQTLDW5YYR+c6DO+ha9+Ua3wBLY8V5TpqvYh9+hqpt8oMUfnkeo6XjBR7rl4tMQ1SBtIueTwI\naC+WlWzMrRtdFld9OUApKgxAuTye3B/QP5nQXKqccVi0HVNVcK5noeuPVXEf1uORCRyFsirlLTK3\nzTiWgoXhjFrVVhlRUTXU6o66kQD27/aELAWcqURAcNjLvqM2oc/91LP0TiYq2y0qickoVIHCb3jM\nJpECE0e9Gd/++gc88bTYtHVdo1Wpqs2oyOZUub/xCtVoRDo6VhVH7+6bNDafRm9sAZDf+mM0/hgq\nc5kN8nmrjOEd8DdIK7JCGd0gs+ukZdF+sEY3sQyH3HDJJS7SG6Y4jkFFTk+XPJNKxVIYh65ruK6h\nZOlnY7FZfvtPBU7x4isXufdRh5ODodpUumlGnuWqh37r+gGvPKmrKofqObLVl8kc0TpMgNyqMM5E\n5t497bO67pPnKPBb0zUWqxVFMU2SnLvXT8SgHyhJ8GKjs0xdAOOGZAG0LpOu/6hqCeneEqm3QhLl\nLK+LhMBzTeI4U7Mjwls+JZHnLCQ4LlwT1z/LcqIgUfpO+cpLVCZHRN27QnwSmJzcpbywqei37L1K\nNuujl+X0f5aKNTQdtYZ5bZusKpIH+/Q10C3SynlKU4lVaTq5VlKfZThKMC2dVlO8Rq1qUy6birps\n6JrA+WSb9GB3QK1ZUt/vC9eWGfZnShEBYO9mh9IDVfp4ECj/msfHw3c8MoHDHAophKR6iTCv4Dhy\nbqNiEYYpvjSxWT/nMwtSyiVTAebDUcRkGCgVVMe1cDyLte3CWyPj/u05LdO0DL70P7/Kz/2HrwAi\nG8uznGAaq0nwStU7MyA1Hs34kZ94RnH8DUMnjlMC2R/vd8akSTYHyD/6XTrvfYUknBEMRSsqSXPi\n2RjHFwyd2toVomkft5hNsH2Jacg5gTQSEhslKcNuloWYX1+0VnLdIildEJRcQ7DOGjWdaZBRksSA\nwTBSLSMQ1NhON1RZd6NmEyeZGgwzbYOl9RqVmnsGSH0Q/L/y9AZa8JYYbgPwV9GDU+UbkpbWmeZ1\npZ20uu4zGsfUqzYLcm5gMompVCyFaQxHEbZj8v4bAidptCvSsMtX145ZZ87k8loYnTfIy2Lu43Z4\nlQ03EjMQUhklilI8z6QhmVyGrmHb81ZWrxeye+NUfS+iMGF1s0Fb4ina7lfpvv8VosmAcCw+axRn\nhKMuzonAVhqbT59dQ7dOPtpHKwYV5ZGtfQ4APR6RequYo+uqkkzK58VQoMS2fF8jijIFjud5pqi4\nANWqzdHRFF+2by890SZOMu7dES1M2zFxPYtGu6wwuPFA+JAUP69tN4njTCVkjztVD9fxyASOYqjN\n6r2NaZYYeEK+ot10CMOUk07hcGeQJjlhOAdaw1nChWvLyva11hSaR8VswnQU0j0Zqeogz3I++4vP\nnynTNV34aRS4yNf+8C1ayzUWl8X7KgbRbkm/jc2dRYJZzInESZIkZUOKLAJEp3vkaSql08WG4LkV\n8iwlmojnDA9uYJdrRAPBFLJXlwQrpyskRrA88Fposq8ftT+BMd0jrAiv74OjKWuVGC2ZqgHA7kAw\nqIayzREnGeUc1bqqVCwW2nN/68k0YTyKlPhgmuY02yXGo+iMblT/ZKJAZV3X0EyHvKiOJkeka59V\nU9zm6Ca+bjE1xYxFvSb8sk86gQLl81wA96ZkWSVxxspWQ23is0mEYejcvS59Qlqimsyl5Ig2uEO6\n+ZcwpADkdv41sukaPfMKS22RZNw/kriPTDCSNMOvzFVkLdtgbbvJzXfE9d/YbjPoThnIzt/29I4a\n/jNtEXzcqlQ0kO3G/r138BorRCOBYdilFtrCVVWhYNhgllQrNmp/AmN8m6l3RWlLubmBkw7IDenR\nPkjRNCGZAqIVZdtzkkjVt1leLqk1HE1iBr2ApVXZeo0zShWL8TDiznXpb5/l+A1PzXpEQYJfc9Q9\noOva4zmOh+h4ZAKHkhzJY/IspmzKie2eieeZrK9KnaQgJQhEO6YIHFmWY5i6yk6noxDHs2gsiOdE\nQULJd1Sbq7Hs43iWakmkifDzaK9UVV//cz/9HPWFsnL827tzwvaVFVoLVfUc2zFpyp9dz+Kj9w5U\n4HlmYcrodB+nVMbxReVjuj5eY4VpR2TVeZZil+ropgxo3ZsChG2KwBA98dexO99Ci6Wkd/8ttNFd\nTEcEloXWZ9DSITN9ES8WVU251CKKM/yalM/OUwFWV8W1uX5zTKPlKkzDsg2aLVdNjhckBMMUlE6A\nN1+7x/pOS9GZTw+GPLvkqIyZeIrR+S5Z46pcS3ENnVTswHcOXepVm5WlkgpgmiZA8yLTHWQ5STBn\nBs0mAjwvWleHBxNaD1BamZ5KoUU565CGaGlApWbSk59tccHDNDRVYSRJjm3r6ntz50aH5XN15dpo\nuyamNZcgyYYRo84RpqFRW7uk1qyx+TEGcq5DuAEamHKoMx/cE2so/TiSy7+MObqJOZCPd5cwRh9R\n0W9hL3xKrtGUcd6kIrGqktcky+HCtvhu6ckEiMllUL29F1CpWOzeElhOte6xslpRn7NSNrFMHds2\naH56CxD+J6ZtzP1jwoRhL1B03MfHw3U8MoHDCIXYXa5ZaGmALvn6C16F1F1WN0WeC7G6wSDive8K\n2uT6hZZw6JuIwOB4FmmSqSCQRClpknGwK27MKEwIpzHNJZE9RkHCeBAQRbECvSNdtGY+eEtIh19+\nagNd1zjYExv0xvYiaZIpemP3ZMT2lWXVuvK8S7RmYwzTxnCksN/ghOHe+2pa3PJ8MXW8LAFewxZa\nVbIFZN/5LZK1zylZDS0ekSx9UrFvTFMnx8dNhhRCR44R4eqpqkAyzRXzApLGevGikB/3lubKv91e\nOPfhkAFE01AZ8cWnV85M5q9vt9CyQ/IHh/H6d9D/P/be7EeyLL/v+9xz17ixL5mRe1XW1lXV3TM9\n3bP0zHBGJIcSF4mkRZqALdKCHmzYgAWI9osNGJYfDMGw9GLDNmDYAgwQ9IMtUpK5WvSQPZwhhz3T\nPUt3T+9d+5J7ZuwRdzvHD+fcE1WS/QdMVV2g0RWZkRH33l/E+Z3f7/ddSm+MsI0wZkUA57sdZNRn\nNM4s7DfLdfvlwR19rZ7v0mhXbMwq1UDPHEzffnW9BqdjinRurn2soa7GopUixVmc4A9/RNdwWhZy\njVkqLd8hLxQH+1OrXbW209IzHgNrPT2c0F2rW/6O29qmf+klY2WsE+pidMjBe9+0cyu/UkPmKaJh\nNLeCum41FnqB9u5/nfTSr+NNtBy8yAYULZ1gywoDQqqMQerziHxMQjTWu24V4SiUgexvb/nMpjmX\nn9MJz/UEo1HKwsTOFY5tT5atqE6/xmK2tAMOQo9OL36k6n7Wq3qSjqcmcaQGReWfvAlelaKmvTTO\nRgX1QCEN9HA4Tul2IoQDL3xWs7pHwwTXdVjpmwojk8yn2WP+C3c+OaDRMlXLJKHWrNgeftkeKe1K\nQe94J8M55y5qLsLRnnYM3Njp2XP2A9f+7eBkiue7BJH5Anox+WLMfD6h/9lfAUDJd2hd+Bxsaahm\n/v6/1EmklNHwAtTa53BKBdh0jHfjdy3PQ/Y+jXJcPMOXEIsDitouc9pEjm7LOSrVScO0kXIpODhM\nqBnkTZppQmD52BVaq6rchZcEveEo5cwQ4qr1kLDisbGtAQyFVKjFmV4kATqXkN0XyRp6QYwOv4Fy\nfAqD/to7FbSFQioYD42GVksj3dyLuv01nxdEoWsRQlkvZjpOGRgp90uX26AKPDOEVtf/DkXUx5vq\nWQPqBIIGefN5RmO9gMahw8GDqZ1xNOtaWLEkBhaFotYMqZnKqr1SZTpOlnOqqEW2mLAYHrJy5VV9\nv8KKHoyXnuI3vq4RVolJoslYJ/+SxLkYELz3P9t7JVdfBiURyRGBSaxF9RzDvE0jNG24YqGTikFZ\nSSU4PFpYiLpSihsfnrB7Rd8LX0Gl4hGGBtpsuBnTWc6N9/WGTAiHtZ0W5y51zGv8mzLqzjMexxNz\nPDWJwzVforx5XVcc5nFcWSNJpB2OC9fh6HhheQegB7p5JgnMohf4gkkhLbRzeDrlM1+6aE1tjh6O\naHZjmySGpzPieviYLLozd6jUQksOGw2nzKYJ500imYznbF9YWe6IN5ucHk6WbPMNbH98sa8hpIvh\nEel0SG2qqxZv4yUY3NILDWj9pbt/tlyQAbnzM4hEV0oiOUW5sVXHVX6T00WDdjzBMTtg6dVJc+cR\nQTyJ72lIM8B0Jm0bA3TLTTjgmns3mWTkRgSxvLa2sXidGBnvD996wIWXZtaQyikShBsQmLZRXruo\nuQumUup210mSgkbdt+dx8+Mz1rbq5drIfJIyPMktIdBxtKxLGUPXc1DzgeW8RPe+gVfpokpL1s7z\nIHxEcszBga4Ozu822NmpMTStq8PjBUEg7NA5TQo8z33sXpwt8uVspxeTzXVCyIwD4GJ4xPxsn/hM\nzzDC/nXc+bFmiINGfp1+siR1qgK1/uqS1JmcUrixJvyZqvBg2mClmS89x/06aabI8hJJmBMErk0I\n42nO5vkl+EAWikIq+/tFWlhtsrJKLN3/jg50Ir7x7h6v/vQlSuX24lnOeKKOpyZxlPao3uQWRXWH\nk7mZV8wXpg+ud3CyUKZPG1gdnvHZnN56zRK9knmmoYfmWxFEHtNxYofjs3FCo11ZuqGdTllZb5Iu\nclvKRxX/Ma+G3SvrVKqBdaTbOt8jTXLrT72Yp/TWmrZ1hWknBdWWJY9FzRWmh3cYmEWoKQu85jqM\ndDuMxo7mJ8yNPWTUQjz4Fo6ZeWStF3Uv38yDkBmNus80EbZS8GVCXvgWVSWVotsNbcW23o+ZTDIe\nhe9nueSu8Xgfns54/pUNZrOccxf17lRKxWScWrbxp149B9zW3iEARYqqbnLi6oqjm/yIorLO8UL/\n/Xvfucf553oohb3nQagZ6o/ONLzAtVWOEA7NbsylF3WiVgqcSguxMByY+TFy9xe0OjB6l57VrzCY\nOLQ6egH++KMzzu82LXlOt3I827qaDBd4fsz+Ax0PJRXNbmyRc8sYNgnipVHT9PAOw/t6ZlHPUyqd\nraXcu2H528dxD+fobRzjlZ6ufhVh2rJl1ux1QiazHM/Vn/lISWZzScNslhYJxFVBYmRi1vuxhVOD\nrhTyTPLw/tjey+3dNnkhOX956Rh3djpn77b+/L78lQsI11lKtYtnzPEn6XhqEkepHpq1X0Ikx3Zo\nurEWMximVCt6gckKwdWrLaZzadVB19erjMcpe4d6h3v+cgdZqKWURMVnpV+1u63Ln14nXeS21/3c\npzfZvzdgPklodnU7q9GuED/C/ShyXcGUroBxPeTt795i67xGI7339h36j0hyI42Eep7iGkx/Mj5F\n+AFuoF/DDSoQtpZtDQA/prjwy/r3k5uQzay3tzf8ABm2UZ6pSIrEynmEmV6oHJkRR30rX+HnQyOB\nbvzBgbjqWS6D5ws8X3DtBcPBKBRZJqlVPcv9QEKtHlCrG+/u0znFzvO4a3oRYjFAFDN6iZaDnzS/\nQKTO7N9/+Sd3dAxjzw7HrzzXZr4orBnR6vUe43HKydHM3P8IzxXM86XwHxtfICirMT9GDD60/Iii\ncQmUpNUIkcrIp8QeUegSmRZOuxUwHme2wuh1I46O5par012NGQ6SZfIfJJrsl87tTENmKY7rEhgZ\nGT+qQ/vSUnzRcTWEev2zy5hmM3D1nCs4/R7Kiymivp1dgZbSaVR1UnTmM1q1PiVLqeotUMrFregK\nRSmo1ZYxlEpf6+5F09KUOoa+EnbGkaaSRiviumnvToYJgR/ZGD0zdHqyjqcmcZQS06VKbqdhfiFT\ngsDlbGiGzpHLeFywvzdZkgE72gKzfPz+D/d59we3+dLX9A7YD1z27o1sBZEm2h609NCeT1OtqHs8\ntpDEZJ6xstGg1tBf1uHpjCj2Lbfjj//Zd/mJv/4iH7+nuSOvfOkKZ0eT5a5tHfLFGJml1vSn8dnf\ngHTM/GMtU3L00eu4/vfpXvycudZcuwJ+8Nv6cfc5VOuK3VXLoIn0W+SRbm35k0/wR+8R169zNNCz\nAt8TJANJvVqilxocHS4IQ71Az+c5YeAuVVEdjTYqF/AilwyOp2zuthkNFjY+MyPVDXqnLlaXYoxq\n7XPk1R2LsgqdCShY6QQ2hpXI5eQsoWr4I6Nxxq2PT5dV4CzHD4SN0fH+mHSRWwDD+XN1mB5CTV97\nsflTOPnYyvGL9BQZdFBFgjDQ19OzhE47tK2pwTBlPE5tjOLYw/UEr7+mq4fdK+u4rrDtMoRHvhiT\nzSdWSr39pf+A6tkNkkOtM3V6+y24/Ra9SzqGdkh+37DqG9vItS/gZEYa34tRXh0Zrljeiz/8Ed3W\nNU5GZYuyzvgso7+i79W8iEw1reNRepGX1xUELmlaMDjVv1/MMy19/9I6dz82cjbVgCDy+PM/1v4c\nX/jJq4SxT7tlhCjdZ9XGk3Q8NYnDG5Wy0z5K+Eizq767XxAG2ioWoN2t4AjdSirhoaeHUz559yG7\nV3VbY3O3zXMv9m3VcrSvRQ9Le9JknlkkFehhoyMczl9eiv2lSW4XL9BM5mYn5s/+4IcAfPbLV3Ec\nh4tX9UIxPJ3S7FQ5OzI7z9YujfUrTE/uMzP+1OKd3yWIW5YD0Np5geDcF/WCCLovHtThTCNwmB3j\nhC2rrCqyMcqr4y30bKGoX2S2kARK0W3rBVgqhxrYdkyWSzzXsdXZZJQQ9pbznQK98DSMm9x8XtBd\nq/P1f/kWX/35F/TPDKeivDf1dgVn+gB1+zUAHC/Ae+7fRvlGiFBJ7UpoFvC7hy6eW5Dl0rbMPM+h\nt16zw/Iil4zO5rZ1tXt1hcAXy6oH4PBt5gN9LyunH8L2VxEL0/ZxXJxixq3xFqEp4OKKx+nZEhig\nlCKZZzYBHh1MUVLxua/qTUuzo+G7ljBZbNDcvMbk6I5N/qM3f5uouUoyPl3GcPvzy/ZiUNczq9LI\nKR0jJvceU8dVXh2RHFEYYucsAS/XzoygwQf1uk+RL69dqeV8olINaDQDplMd07KCWjFIudE4o9aM\nOHo4thD1opAks4wv/tQ1+5plJaZfn2fHE3Q8NYmj3DkWlXWcYobIdM/9XL9O4UaW1LVIddl9upiz\nsmYYvg70N56zr+X5gv0HS8Lf8f6Yay+t253aZLjAD1zL42h2Y+qtCkHk2fZWEHkc3Buwutm0fzM8\nmVmL2WY3ti0OwJoBVY3DGtMDhg/eZ3RwjzA2aK6zPfJkTmNX706L0R7Fg+9Z3aOgvqr1q8wgldWX\nYHQbp67bC9KNENmAeUOTI8PxDRoqReWRJZiVZ+SZx1EQ49SrdnC62quQF8oORctFsiTJxbFH2Az4\npX/3Fdvm8HxBpeLZGVIUujBLcQxElWr/sWRf1HZxsqHdUe+shkzziDgSVs49TSUPbw+s4q7nOcQ1\n355HGLgMzhZ25lTqR5VtPtqXwKuQrH4VAH/8IcqNOdcZU0RGlVcVdFq+tZJNkoIsLWyludKvMpvl\nFskF8PG7h/acyGcMH7zP+OAOrqe/ikG1xfxsj+b5l/VTxofIg3fIDUw4qHU0cTNcKh4/6iGiwg4i\nPWXWeIkwMdbG6SnKraJyE0NH6PmHiaHyQ9xm1crIlFLwrXV9/09OE6LI5ewssTGMopBOZylomGWS\nvJBWKr88SqFEJdUzVNUTdDw1iaPcrQb7ehebtzVaxpELhONyYNi8QSC4f3fE5nbDavVgVD7L3Wu3\nF9NbrXL3hv6j51/eYJEsETrzacp4UNg2yGS4wPUEP3z9Bi+8ch7QvIIoDuzfnByNuHB1jZ7ZwU3H\nCUoqm5yyrODd793h+me0jhSyoHvxc/hxC8/wOEYPP2YxPCIz/tRxd4uosYpb8jgWA4q9H1qHQO5+\nQ0NCjVyFd/ePodKlYtBLytctD+XGOLlenGTUx53etYnYycfUxSnjQg+qXaF397EZvIahy2CYWiKY\nK+D+gynr61VbtVRjj1rVXyYSV0C+RH4xfogzukVx/hUTwz8FWVDUtdW8qqxS9RbcuC1pmfcZDBJ2\nLnaW6C9HD2fv39dzk93nugSRZyu++bwg9mNkbqqz/R9A5yrh8V+Zc7gLYYtk42dxF5rdn/h9RqPU\nVi2e53DuQstygpJUVzmhQSdFoWaSl1LjTAZ0dl8mrHVJZ8aiNpkxPbpDMtYVRm31HHFni2DdiBwm\nY+TeDy0gwsnnugpZ/7y+zuO3wI+JwTL1f2MAACAASURBVCKtZNBB+i2EiWHq9wgX95Gu3rQo4RPL\nAROhk1Ehla4kPR3D/mqF2Ty3iSIKBSdnCQ0zkwKYL3K67ZDxdGkjHPrCKuouNQKeHU/C8dQkjtLL\noWhcRoYdcIzXg1fl9Cyh2y1l1eH5F3pItZQGPzqYcnh/yMtf0mxd3xcMhilv/IXuQ2fpJXYud63f\n8tHDEbvXVvHNlyYIPT546z7XPr1jZxqjwZyVjYZt6Uip+OHrN7j+0jlzHorpOOHP/uAHAPz03/oM\nz79yzj4/Pf2Igx/pJOjHegGIu1vMz/boXtacgPL3FYOaKgb3cCstKJVW69swO8S7/QeYFyBb+yre\n+JPH7p2Y7zGP9JC4MruP8msII8Xh5DOK6jniUhepUIhCcXi07JevdCOrheQGgosXGhyfJo+0MgT7\nh/NH3rFgtb6DaJgkuTiDZIw//JH+bf2yRsmZGUhWwGiUsrMT2JZIva69LwZGGuWjdw4pCsmLr2zY\nGBZG+BCg1Y7ots4TlRwXN4Szjyk2tN5Y0nmVG58M2V4UxAahl84l7VZoE4fjaIVe602yP6azWqP+\nSMVR5JKx2bkzvMX9N39fw2FjnSjr/Qvk6ZzVn/oHAOz/P/9EV5EmhvL0BiKoQE8rAzudS1om5Uxr\nsVHpUnQ+rStqw7VRXow7f2i5S8HiQCcVIzXjzo8pKusEhhColG7DHR3rGI6GCdvbNYuQygvFxlrM\neJzZa6/GPg/3ZraqEMJh7mBVksufPTuejOOpSRzOTO8S77tX2GKPoqoXaDc9odPuWq2qptlFFbm0\ni9D2uSbb55p2p/jhe8esbTX4pV//AgDD0zmnh1M79Kw1I9JFzumh0b+q+Lz6tSvMp5ltX7metlMt\nv2j9rSa9tTp7d0vHOg8lFc9/ZtdeQzLLyAzpMIibuEFFO/6Zls7s5L724jDWsNXuFkUyZ3bzWwDE\nKxdh92dgaPyph7c1JHRFe3lLv443+sjuVHWlMWMa7BJLvQNehFt4rmNtSefheWSqODNQ2ihyWRiR\nSIBCCvYO5oQmiRbSpZCaRDYyA3PhOMSxZ1nlw9M5ql3HMSS4tP0S/uG3bQyTtU8Rzu9aiHUgF3Tb\nTQ6OEsvH8X1BXiyJnS+8vI5SCs/MOD754IS1rQaXX9SvcXw4Zbu9C4a3wei2jpPZcATC5/r6DOkJ\nHONj4YoWw1FqZVSkUuSFtg0GuPxcF+E6VvPp+GhOoxkuF9BFHeEFOMK1Jlzjg5taLn+i729j4zIy\nS5l98g0dw84WXPnbcKhnYWr8QAszdvVsQfk1DQBxhNVnE8kZD+cbrAe6Qk78PrJQVApdXWXxOeaL\ngpGV9BdW6BOg26vwcG9GYBJ9GLoopRNIWZW7wqHZDKy0zOBkztZOw4IkyJ8NOZ6k46lJHJjSfju+\ni5MMddUBSLeKI1NWu3r3Op4WZDNJmhbceF/vRp/7VF9rEpkyfOdCG1c4dmfp+y5tw0QGjVmXSllC\nYBB6JPOc8WC5q271qnr3aX6WpQWuJ+zMI0sL0iS3hklZWhBEHisbRstq7Tep7X1spSoA0tmQ2cl9\nGps6+dTWL+uWjumP030O7rwGFY29zy79O/iDd2Gur1MoSdZ+0RLHRHqK8mIqTHFSvahUFu8iw561\nko1SvZhHPf34cCAppLItCs8XNBvBY7tyAN9zbE9dySUZDSDoV3HyfdSJRiP5D17XiKqunjMFyR5i\ncWDbj0pEOPmM/kpsWd2LhRZj/JN/oYfIP/9rL+khvlnEz11sI8RyqL+xVYe9e8ukmqcQd5GrGvbq\nTW6h3BBZWbX3J3IhDAMGhgCYF4rFImdqqhx/rWrkaPS1rfZjpFSMhvocki/8I1p775Mnc9tu9OOW\nllbvar2weP0aJGPykl/SfQ5u/Ss7p5LnfhYnn+HM9FDfQRtwSbdqW1PSb9KPgMwgB5OPkH4TWXKb\nkiPqTkG1pxPN2cShKJZJNvAFjYZvN1LlvCLwhfVbBx6Lobda5d7tIRevlEzyZzOOJ+l4ahKHI0r+\nQwZuaF3uZChAYRE6jTBBVqvcuj3m5Vf10FgZ9ddy0FutOoCzdL1bjfE9YUlx1XrA8HRu5xOuJ2g0\nA1qdyCJXSqHE8jm1hmAyWvDmX+iWw85un956w+Lfk3lGMs+4f1OjfJ5/4U8Jqk2i9Rcpzm7r9105\nx3ywx+COXiwb65etwxxALXgbwrodpvp7r4EbWulwhI87vWvhucqNUHms/29aUSrokPh9u1jGlT6V\nyEUY0uBqWzCa6qoCYDHJCQJh1XRPT+ac7I+5dH3VJhGl4O6NU5qd2N4vp7NYyqrLAmf7VZRppbjJ\nEcqLcUwMVbQc0jZig1hyQ7712l1+9e8u+Q5pWnB6rJNoqx0hXMcOb91Caf+P0kCpvgGrL1oPcuk3\nQWaIdGiZ9U4BOC6dqv6bhazhuQ4rXaPjpWA8lhY0IY1WVGwSZnjjf2fhBTT6V8iN+m1Y6xLWO0yM\nrHpVFmQGsgtQD97DibuWPCgGH4LwkLUdc04LRHKMm9+1n2nl1fW/zWPpN8nDNU5ODVzXa1GtevjC\niHTWCzxvyf2ZznLC0LXghcHZguHpjM3zrUek2eHg4XgpkXM8ZWWjQRgu1YmftaqenOOpSRzl4agC\n6dXZW+jd1po/RXp1Ss+mJIuIPdjZqXE20AtCverhecIybV1XaF6HWdSPDqbMpylrW7oa8D1Bpxfb\n30upmE5zTg8nFh0lHIfB8ZRbH+kd+9pmB9cTXLisF/FKLbC+B+Xheo9wAKqrCC/k8Hv/nMwMVqsr\n5wiqTTs4FV6AkoW1IS0VVVnVqCnSMWRnEGlynrM4wnEr1nLUG36AEjMcVdj2VRGu4LuwYtRx9eqp\nNawAUC61WtXOhwazjLgS0TWLabXq47oCYcyCyvtz/nLXVimO40DhLmU1kjFqeBenqRdHpSQq6HBW\naHRTU01RbkwuITE+5UEAX/7Jc48kOC390WobzxRPJ/5y4fNcR1elpbe3zDWxLtQxVcYcSbmx3ckX\nfossk2R5aWolUMplZuQ4qrFHEIilxpPn6BaP3Zn3CGtdTj74c+Zn+nNQaa9Raa/bStIRLjJLrQKy\n07mkz7OnOUQUKSzOcMoYFgucIiFvXsUd37A/06ExCS3oIBzFSvuRr78DTr7k1VTjqq3ORuOcuOLS\nMcZPcexpmXRnGUOAtc26bU11u5HWq3rmAPhEHk9N4rA+CyIEt0q/YYa3Xhe3mCKVgUMG4t9gIc9d\nh0rkcjYwuHZfcHQwpd3Ti+n2ToM8l7aXDXooXJb2p4dTgsij1ojscLu03Ny9ohe/sOKTJjl1k1hc\nT6Ck4nhfL1K3P9nn+c+cW5b7lR5BfZWgukRV5fMxre3nrSQ3YR1HuLile9zonhbPK3kc/Zfh7GOc\nkWnPyBynvmlNr4p4S1dowiep6EXbE5rLcWRQaN2uj+fAcK7PQSp4643bdggNWsOpXD/SVHs5zOY5\nJ8c6JlHF5+jhyGo4eb7LX3uljmtmNTR3UVEXFicmhgsoEpoV0+YTTTyVgPOIAN80pxK5NoZpWlge\nQ3ken7x/bF3qOu1Qo5PK9+xdR1VWwXh5O772JZF+a9nKy0eMJyF1U0HM5gWe61hL1ijSyerjD/R5\nd/tVlNJQYACCBk6tj/BC4q6BRGcpYa1rKw63sQ7DQ8Kmvp/q9BPtx1HGsLYBwsMZG1mZIrExLGdA\nJXFy7GpeRxwJpHIYjY1fRyiIQhglBmyQSd774V2ufVr/ve/rOVWpA5alkrCimf9lYlZSMTyZcXBf\nV4mNdsyl55f+MY7jPLORfYKOpyWSqvj4d/Q/oh6yss5xpr8Us3nOej+2rZZF7lvzn1LILQy0r8PI\nlOpKKZSEmx/qtlGjXcHzXZoGClpIRTX2Kdf4JJPkmWSRFBb+WbagHrWXLZMK6LlJmuSWTCaVth0t\nJUp+wvunjG78FVFzlcP3vgno3akX1Vi9+mUAssWEoNYhNxVJns7wozqusZal2l+SAgGChibXlUQ7\n4xpXwjkBckczpUWu1XJLglw5Myq8FsenCxpmMZUK9vdnrK2ZgbuC99855MKVrl3kC6mQUtnBKsB2\n3yU4+HP9YHoArYtgW1N6xrKf6QrKc/W8xBeSJDOoHtfBcZYxDHyB42ChsiXK6+E9/Zq7lzqsuHdx\n975lAhDr+1K26KIuWetTTBZLM6JaxQFnyR2JQkGaKSsXHwbCzD2WG4rxJLN6WZ+P/jmjt/8vGhe/\nyP1v/m82hm5Qobmlqz4/quPFzcdi6AUxXqeM4SpU+zgm4Uk3xikWyLCDU8KqvVjPNMxcKlMGQOCY\nIf/iAGT2WAzPBon1HHcFj8FvhXC4fXPA6nrNxlBKrU5cJupkUVBvBPRMlZKmku+9/oDf/Ln/lGfH\nj8fxDn8I/z854qmpOIqGMcrxYpRfoyuM9Ei1zsHpskSfTuf0VyukqbSe48OR5iFYNrRUuMKhs6oX\nWCEcothjbHaarieYz3KrZDufagG/Ipc0DLt8/94Zm+e7TPb0e88nKTc/fsjGtm45VGsRd24e0FvV\nw/I8K+j2GzbxcP05Go1tBm/8tm1NVVfOEdY77BsYbtRcxQsqlrfhnf8Kqvs8HBnWcT7TKhMmcWTN\na3pYboh1MuhQVHeQTmChmf1uxndfP+bKdb2bjMJzuJ6w6CUfDc0siXaDUUq/H/Pe23rn/uJLfS4+\n1yVJCpRJ0KNxhus6FsVzdpZoafdH2NEUKXLjS8vzitboGz6FciNGixqns5ypASxsrMfkhWJmEsVp\nUtBph3YR93xBkhRUa3phC0MX9/bXUQdaMsPxY9j8Aun239LvKSK89IiGKOwCfG8vI8+V5ahIpRNS\nOdPIMkEULb279f1yl571tQ0an/97DL79vyx/31yhuXmNo49e1+dV79DafsEi56K1F3HWPqPRVKAZ\n5dMD6wk/6/414sEbujoy51nEW+ROyIGBPG/2Xe7vJ7Y1WKtu4IfLGLpKUY09y8nIM0m96ttKqtcJ\nNc9pniOMD8uDuyNqzYimqepmk4xK5OLI8juxbLk+O378j6cncRj5BUelOEViWcfDooeSOf0VMww0\n6CqN8y9ZyAU3PjqlvWI8m2vaR/v972vp6xc+fw4psc93hEOeFrb1EtdD1rb0F620m11Zb5ImuU0E\n9XaFl7902RICvcDl8vVNy/uYjhPyrFjOOMIW3PtLhBdoCC5aZVXJwiaK9rlPkUxO7HA8GtzS132k\nZdi1r0NglVa98CNQBY6RKHGTM3BDgulddgzmv5is8sUXqyB1K0W667aHDnDvoMLmigDTFQrDCsNx\nap0Oh+M2ccXDcRxrMzoZLrj3yTHPf05XENWqNtsiNt4kzR3SnV+2ZlGOXCDyqd1RD4seo3HKej+m\na+InHAcnW8rlK6X4/uv3rYVtFLlIT/CeiWGzfZm24+E0zRyo/xmKxmU7zyh1RpQbcTLUC+xKNyIK\nH7dD9X1hk9PpWcL+3oSuaWkGgeBgb/rIk2PYe5Og2qS+fln/qFKjyBP8SG9KGutXyNM5Rao/F5Xw\nIarShT0t+Ei1ryXXTQyrp9/W92l+hGvlUgR+esqu0K8hRx12Wh1r2CW9VVDgYCT+F01qsUvkG3mc\nImQyza0ulXe1R2z8OUoSp+sJPvjBAy4+r1uv1XrA/v6MC7t6RiRz+QxV9QQdT03iWDqkja31KECz\nEdJs+pi1lVQGZLkiDMXSa6ATaRtS00mSUvMDXv6KJsXNpxmH94ecM8Y3QeBS5NLKWIAW/wtCl9Ut\nXUG8/737tFdqPLirv9wvvXoBL3CtpMjobM5fvfYeFy7rwXZ7pU4QepwelFpV98ANmZ3cZ3Ryat+n\ns75JbIbhZ3fepv3Cz9mKIr33XQJVQEtzQ4rdX8S99fvWTc6RGXn9Em7p7ZBPcI/1AqViI7NRJLp1\nVTUonnxsbVUBduoTVOpbqGek5jiNCn/jF410ewHzWU6z4WvnQKBXr/Cpa9sWBZTjk8td/MHH5uYd\nE5x81yZ/kRzrIbDRd21VJY1eG4opUuhzn81zgkesYxuNgPPPrTxGSPM8hy9+TS/YaSY1mc7MlBje\nQnU+jXf2ln0+sgC/Rq35RQAqnCFVi5n5OHmug+8L+x69bkSl4j6GPKq3wuVw3OhPTQ7vMDjQ1ZNU\nilava1tV44ObtC+9atVw84/+CO/4PWv/q9Zfxdl7fRlDlZG2XsLzYit86A4/0MP+imH7lyZc9Usm\npgtEPraJpOnMUHPXxjAQKfV6yKtf0Um1kIrT04Rudynw2O/A81erFrmVSV3RPRtrPJnHU5M4yi8F\n+ZS8eh5Z0YurIxfcPamwua539pX5TSpKotw2c3TfOPRyVrshs4VeqEajlChaOqL1uhEbmzXu3dXV\nxMZm3ZrggBYClBIe3hkwNq6AWxe0x/YXv6YXiCDymAwXtmpptCtc/9Q5On3joVDxNQTyghl0N7bJ\n734b4QU0V/SCUF+7QNRYRfSN+dDRexrSaoABweW/AZUeHOuKw937ltauKrPm4gQRNHHMEFoVCbJ5\nmSLesoQ/p0gek+tWniYJWtKgmY+UWmDSqzMZ5bYtEkWulSEph6VK+QyGKUFQtnRytlszqBo0mBvg\nIHFM1eNkI2R1m7ymFz6RnvLWuwmXnutQl5qwF8oMpZpII6MRBXBuK7YxPDldUK8FBKYycj0HpULL\nFWFxhrs4WMK4gaz9aZx8Rhjo8z4Z1ukyoJEZW+LcpxAblN4u1SCjEkV2rjJf5I/NvqR8HvHgdYRw\nbQxrK+eotNcRRmIk3NNEvzJm3uWfxan2UUfv6ntx+gE0zy/jkYzwpncQ6ZkFhKjqJlnjGu5UD9BF\nPtaVlImpDHs42diirnQMXSszo7w6k1H2GCu/2fAZjZa+K47jMhylCFFaykKrEdhWlecFz+C4T9Dx\n9CSOsp1SpIh8jFS6DSKSY3Y6Hd7/SH/At3fOaWOhQUbboEGlE3BymliextpKgMS1ZjflIlS2JMYT\ns/sz36owdJlOc9Z3mmyc0y+aJgWtXszRnv5yVmshjnBsK6uzWmP7Us+2u4pcUm9VbOKheBsvqhHW\nu7YVpYqCsztv4dzT0hxhrUvUXLX9cSd9U7c22nrBZTHAidp2gQHtzS5DnTCL2i7u/CEiW8qLIzPG\n9BkYe9TtzpyifpE79/VrrPR0dTYuvUpCF99XvPtD3Upp9ap0ehWUUty7NbDvO5+kbF/SSfH2h0fs\nfNFdymj4MbJ+bqlUKwucbCns52RjXrpa58EgpajpZCNch5OjBT2TZ3MlODtLCc1cZWujSiEVM9PH\nF1LBdGRNr/ILv4p38n2UWG4AQMNyS5hru3mR40Gdaqzv1+lZQl14VGPjlJf4DIZzej29INdjhyRz\nrLVs7/R18GP8agvHmG95lRpnd95CGGRcEDeJZIEbmBgtzlCVHs62BkCo008g6oKpLigSnTQcn3Tz\n5/XtG7yNO99DBbralW7IzNvku3+p23Rf/QktG3PzjonhSoUocm3CE47E9wVf/z2tMP38Z3eoG7Z8\nyUs6vD/k6GDAS6/qKvzbf/o+f/s3PmvBBfDMOvZJOp6WSKrirvao+Nd3yNJvUVR3rJUswmemWswX\nhe1VV2MP75He9f7ehHozZDZZuqTd/fiY3WurgF7kH5WWSLMCKfXi+PXf09pTL3xml7XtlkVJBaGn\nLWrNQH0yWuAIx/I+9u8NSBe5lbF+5eS/4PiTNwiqLYrE9L/b6wg/sJLcwgvwKzUqa0bqOmrrXniJ\nogrresZhPChUdQOEjzM1g1fHhaChyX8leSzs6Z2pmTdo1vbYoq6UGyHyEQupK48SolxyWkp5jjQt\nbGIVxuukJA2maUGnusC/+bv6B9MDnfA6V03M6o9XOW5MUdu1XisAc4yRk0ni1dgnDJfw3If3x9Rb\nETPD9pdK8VLzDXj4neWnpncdapv2ulAFCN/CXKXfwk2O7BB6XkTMF4VdcEv4b0mcm0wygtAlNffk\n+sP/isP3vokXVmzy96I6QbX5WAy9sKIZ5KBjNXm4NOeqdPW/q6s2hsqvI6b37GUov6HjZ2Img44G\niZSIMcNNKWHGmYjxVEIqzflPc7xHyJL1uo8rnMdiWBp+lc9JU4njQLsm7f174/WH/P2f/gc8O348\njmeoKtB8BPSOUcZbNlEoN8TJxwwLg2YKPSK5II7GqKpemA5HEqm0wxtAq9khTQsKQyYbjVK2L3at\nlk/NqIiW6Brf074PcT3gr/9bL9tTKgpphRHHZ3MmewsrUzIZLuit1W3rqrtWR0m1RHYZhvNo74ZN\nUI7rWoQV6EWnSOYkx3qHHNa6egE2HuTTi3+PyvR97eeAnnEwXS5KqrIKjrAtDP3GCbiRlThfZC6z\nhU/HXPtwlNGoNxDOcpHJMmkhqmeDhIP9KUUu7Qyp24uZTrPHjLC6z0vbYqNI9SBZLeHKRXVnyeoO\ndPJ6cBbb3X3oZESVGe1YJ7yTCYzHqSUiXrnaIUkKet1lDFnMLKIMx9VJNdHyLapxEYWrDZ1MkkT4\nTN0Nyq5khSlxJaPd1Inke28ecO2FFdZWzYLc1TyecnGVt7Xz3/jgjr2uSmuVfDFeqt8KlzyZMz/Q\n1Vc0H+DUN2wMH/T+DmvRIe7ow2XcRzfADVCRrhLLxK+MsGcZw9LpMck9jk4qbK3rTcpklFOthmWe\nodEw3h0m4Y3HGYNBwvBkZrXT1rabjAcLC/ZYzDOufaq/3GCoZyKHT9Lx9CQOc4jFMSrI7A565qxQ\nm39Cw8w8lNK76bnTxax9FHnC/VsDVjf1F20+y6nEHompQEpdqXIhzDNpW0ygyX3JPOO3/vGf8O//\nl78A6JnGO9+5Q62hv6yzSUKrWyU3X8TeWh2plCUKSql4ePeErfO9x66n2lmnvqEHvJODmyhZ2EWn\nsXlVVxdbuq1BOob7f2mlPKrB7+LEPTIjMe+d/hDckGxFize6iwPNCTA7agCRHCHd0PqSx2pGpVbn\neKBvVq+ekymPYwPf1a0qwYN7uhWzulalWg8Znc1tEpxO9U78k3f0Ir15oYPyI01QBHj4OsyOoaaH\n426yRAuBroLc2X02W3VyURoauUyLuuUZOE7Oh+8ccPG63pnPpxn1RmDhun4gSLf+JsHgtv7z+bEe\nXhuPbzG9hwpausox7+uN3serPw8GbCG9BklS4JqRUVTxORsknJYke0fvxMuqsnQZjxpduhf0tQ4f\nvI8jXFuB1PsXELVV5LVf168xugF3v2mRcZvu70B9G1nVg2t3vocC8uZ1O9cTxRTpNpGmVVU+p0zE\nFXXC9krMwwMds/Weg3J99g90W7RS8XBdh8Mj/bjZCvEDQa0Z2WSfZ5J6K+KP/g8NpvjS164jHCzy\nTXj+s1bVE3Q8LZFU6aHu+7vzPdLOKwQn313+0out5LT0WyxSiLwMUej+rQw6SOUgSlkNxyXNHduS\nkFIRRZ5dCH/w3Qd85vOb9vWPTxbWk+HwgV5AK9WAMPbtzGIxz2j3qtY1sCgklWrAb/3jPwHg1/7j\nn9TMc1PFXL3xH3H/nW/juQ67P/Fr+o2iNsnhh9aD3Ft7kcXd7xC1zJC5tgFeuDQBmp9A++LysfBx\nZIJK9JylaF1HZAPtwWFUYpUbkbVfwjUe7mB8O0xyEckRyqtz19harHQjjk+XLnmVSNvKnp4mj8lV\nTGfLtp/vC9aD+7gPvmHeIMfpXiVrailxb/QRs+6XiE++/XgM4y1S33ibZ5IoFLZ9Jf0Wae4QeOUq\nrsl6EzPj8FyH3uH/qdn1AJUeqv+KrVRBJyhvdtfu3JVfI2l+2pJHP76V8NzOkrORuB18l+VrOC5J\n5li29eY7v8mt72hJ+4tf/hX9nGqf5OC9ZQw3XyG5822CWMfI6b+o1XBL+ZjJQz0cj7r2ulASFicU\nLS1LIvIxRdS3AAccl7x+0aKunGLxeAyzAUpEvP2+/mxevtJmOssfm9n5nsNglFq9Nlc4liALWLhu\nzdffIeVW+cH3j/kPv/L3eXb8eBzPWlVg2xoAwcl3kUbbR6TaSc62roRP5AXaCU/o3akrNXs2k3rB\nmE5yfF9Y9dBFUjCb5/ZL5Psu42nGxBCmhHA4OVjQ7Ma0Voxb3zTlzodHVu02mWcUubQ8jdHZnKOH\nI77yS1ryfDHLqFQDW8lUrvwsveERSuZW1FDJgiBuMp3o1keczogaq0ijjismD6GxgzIy6s7+G7AY\nkGz/kj6nRUHsZwRneg7jLg6QUQ/lxex72kRp1b2Ff/ZDC43FaH+VkNTJtEUUuPieXkDH05z5NLM7\n/7OBBhnM5rlthQS+SxS6VkRyMs6Qmz1c4znBwfdR0wNc13BYHEF8/C0bQyefGXG/I3xTSYqghUiO\nbCKRuUK4DpnU5zGZZLjCsec1nma0+1/ELRFm8xNENkRJkwhEgDu7j/Sbdifv5DP86U0r0f/c1gCU\ny6jQw/LYdwDFIjPqAKluz1WNoqzY+gK9g5sU6czKxMj8bYK4yWym50zB+IRq/wKFUcd1j97TbSoz\neyGbwfyE/frPAdBpuiAz/OGPcI1nShGugBsyrmqZ+mp+H29yy85qVNBEulUmc51Up9MqlcilZvTI\nxtOcw70JHQP+GAwSqlWfJC1QBpUWBIJK9EgMp5luTXnSfk6eVRxPzvHUJA4Gus9PPoP2JcSJZghT\n39GLo1j28d3FAUll5xGbVMilsuqhQSAYjzOkGfjmhbSIK4CXPr+h7WePTKtAOKyu1/B9YQlTQRBR\nqQYc3tfQ1ko1wBGOlTtpr1QpCml5Hx+99QDXE9YhsLj9HbL5mHRyatsajc2reJWaJQQ6zW2YnSDC\nR9z01l6xO0tXuJDPCB/8EQBhZiCwZidatK5rKO74Bn10xSFFS39q7C5aIPIxsZGrqIkpSvgIs8hH\nkfuYE9zaaplsfTsMdwV4vkeW6Z37ykYVkd6Ds5LHcQKThzh5YmPodK8uY1hd1zF0qyjzvv7sDkV1\nh8LYugZG/qOMYRi6TKaZlTwfBIJfSgAAGRpJREFUDxLc8V9YHww1vKcNpErtKjeAqIUjC5QZ0qug\nqQfRZoEGGBVtarH+5GSFQghpK6ssVwyGiW1xdo7eI1+MWQyPyFN9bfX+OcJ6V3tygOZv7L2J29PK\nByQDnM1XKYxCrxAuZClr06/r349zCFs4SArTfpWVdUR6Si3Tmyfl1fWM6pGZkSimVGNdtdT9CUpE\nRFFsQuwQhU07o+ivVhCOIkmVBT8IVwse3r2pS83nnu9p5nhawnOfqeM+ScfTkziM0qpsfpYi3sIr\nWy1FghKRhaCiJEXUZ/9gbvWW6nWf2TSzyp+Hh3M6ncgaEQW+Hn4vEr2YLhb6eSt9XV1kueTWRyf4\ngWtRUUI4jM/mjEyrqtGuUBSSyUgvICf7Y+L6Uuakt6YTyMM7xvp0ckI2G+JFNTzDFC8tR0sCIEd3\nkLIgaurKyY9qOB//Pq4ZrGotJm/pWS1zmB8iW5rLIIMm7vgGKmyj5gbOLDONyjELdIn1PxvpBWI2\nr7CxFtPINaGN3Mertexu9u6DGdXYY5EUnBgoZ3slJgxde3+H45RK7JOf+5sAeB/8FswT3WYDZP+z\nWuE1WjXnMNMxDJo4hU7WRWWdo9PlnKnbDkmSgoXpVI3GKVHokpnFs94KQZy3nAhn/DugCordX9Tx\nygYUtV0tAFnOVry6BleYJCqDDoe3J3jr+t54vuBkkBOG+k1f/8ZtPveVc9aXO5+ekIxPEV5ArakH\n2cn4lNPkLRszcXCTIk8JR0vZdT7+Q4RBUdnE9ojvOKqgaF62FYVIjnUszb1BFbbKAJ00kJlt2x0c\nCHa2AyJj3oUS+NUO07m+V99/Y4+t8y2yXNoYNtoVanWfzfPGkGqckWeSVmDUFJ5VHE/U8fQkDkPk\nEuPbiORsyUKWR3jTW+SGTVvEW4jkmHP1xRKCmjeJq3Wr5bOyUsFxYG3VKMJKhfuIRHeWSY5PF9z5\nSH/xVreabO62mU8zOxjNsgIpFRefNzakCz1cD03lUoocliiVcrZRVhyZGZpns6GVVe/sfgbhLxVg\nKysXSYfLFh2g2xyldLhwcVq7S6JY1EMFTQvldLIJ7509x/XebdueKeKmFvaT+jXi4hhHLmg3dMXR\nrkmcbGDvnRI+h6cZq21DAFyPuXVzRG+lgrfxSCUEnJrh6+paFeXF+GdvL8/5ETFGMbmH8JcxdIoE\nd3YfR2WPkQLXwtlykS86xJWl3HujHlAUil5n6RjIEZaNrtY+A7LANUrBFAmuuZ7yXvjjj0g7L9tq\n1Z3e5XI3QyljMCXr1KoVXKMq++lXt4hCQRAY1F06Q8kCmadMZnrhb21fI6x3KBJ9L6r9C+SzIUW+\nVDt4LIZuAO3L1oxLVTeQQUffD3Oe9+Wn2Cxu2pmGivoo4Vu4bSQHONmEupmj1C409NwDg8JyBHsH\nC9b7+rxf/tw6r/3fN3j5S9uEO6bVmmho7t49PR/b3GloCLb5XqGyZxXHE3Q8PYmj7FVPD0HdRazq\nL4UjM4polaKid+Hu9C5FbRcnH5MKvXuaTDJqNSyMslQ9PShRJvUAmUj2H+ov5sGDIWvbLdtmardD\n0lSiYp/YCPnN5zn7w4Ul/KVJTljxreRIidQqDyEcGu2KRbFU2usc336P0SizrZDpu2/QXl21/hvi\n7B75fIJfNYPVziWNFooMAXB2jPJjOxx3ZEYRdLQ5EHoqdnXtBGc2JG/peYOY7zHzNrl9W5/39U1A\nZjgGSKCEQaUp403iCnodSE3lJFw4v9vAcbDku9k8ZzYtaBp484N7I7rXAm1tC7pVJdwl/6RIYHgL\n1wDMlBuigiaT4BLV0ls+3sIRvo3heJxRr2sFVwDXdRDC4e5dvWC7nuBqMEeVGlCgk1VZiT58HWd2\nQn7uF2y1mjWuIQxcF/TwHArGqanGMocwdKzgY7sV6p242QS0GqvkacJgmFlb4vnHP6LV69p2YzI6\nRObpksS5/SXNIm9r5BtnxnPDeJVQJCTxLvHoY8vaXm+eIiZn5PWLOgbZEOk1ePObeoPwE5/3ceTC\nIuVwQxxVkKBj6DgOKytYFWDXE/zE13ZxHCzMWhpByc6qrmLOzhL6/dhuIHAEjli2xp4dP97H05M4\nyp2PX4GgviS5AXnvVdypwdILH3dyi6J+Ec8ACrqVMaQJgSGcZW6TyBN2GF6JNaKqZfgbWzt1hHDI\ns6XooeM4uJ5jmctp6tDfatpWFcDGuZaVcBie6WG6HYZXA6KKb1tXQa1DGPrUaoq4qneflfYaXlQn\nmxm5j1wbAJWtrPThDwlqHSuIpy8+wakaOfioh3fwF0sJkiLFzX6Eqp9boqoclyAQXN8yZkaxJk+W\njopKaM+KUpZjtiiIgwJl/E5koW1iPdexAoSV2GM+yzk4mJn718A/fG2ZOKKWRhGZ+09SaIRY6c+h\nCrL1n6K6uGUlT7zJJ+T1K7jKxLC2wMlObQwLVy+Kzba+9rX6FN55c+k6uPaSbgOVcxbT3vMevmbb\nQ06uK5qyPebkY4pojZowoIj0FGeR4VvGdoNWM7BoPOIeQVynVoyIKoZ/UuvQ2LrG5ODGYzEsUVX5\njT/Fi2pWggQ31K0n445YRH3ivT9e8lHQMGtV3bQIM0dmZJnkK8YcsYj6KDdaDv0NBDswFcJkVui5\njf3sLr1mSkXjSkV7ze891BuIbq9CvSJxTDWMX8d1nynkPinH05M4SlmO7gs4+UwjTdA2pMGdf2F1\nkUqcvprvWVSKclxk0OF4ohfgTtvBTY5YN14D9w6VdpMreRy5QqmlLPtouCSeDc1cpFb1+eCdQ3aN\nMGLSrrCY57acd13Byf6Y1U3jMV4oPvzBAy69qM/z8Hvf5Ohohu8LLn7xZwDY/9FrOONTGkZpNax3\nWQwPUcZONWhv6ftQEuuqfZzmjoXfisWZ/l1mkpnKobGjWxwm8TqAP/7QViXu6ENkdXvZyqru4M4f\nWm+HGguc2Yyq2c3Oq9eosw8FzBLdpovlAUEUI81uNa64cPAQOXq4PC8vhkifg+y+iEjOlvyT8Q38\nvddQ1U0U5jyLBWK+h/cIm1yGPX70oZ5HXL4iCZ05q22zmOXA9ICFmSVEwtU6Xg0j5ujHFGFPiyuO\nbutrP/k+qrZtX1/IDJENrRyK8mLy6gUeHOnPwebKAjcfU6noUmnw4Z9zuHeKEA4Xf/2f6Bj+wT/k\n5JM37HC83r/A7OQ+mUFVBb2LOkZG1BA/Rq2+jDM2xk9SOwIii+VzqqtaiqSUJVEFFf+eFj80MSxq\nF5bOhvGWRtSZAXzDK3BmMzyTIL36FURyDDJjNNezloY4JvB80l7dxjBTAs/oiymZIcSyjfrs+PE+\nnp7EcaAhpurm13Fqq7g7X9U/L53USofA+gYy3gBHWPSREj5p0Kfn6+dM5h41PwazSLWaAUotd1/T\nWY6SEBjWsiwUYajF/T56Ry9MG+fbXHl+xSqlep6DlIL9u3rHGxk/8lLLyvddbn68R57r9/xiuqxU\nTm9+X5+nLIi7WxZlVeQJtY1rSwtWVZAPb+sdK0D3OdTseHkP2pdYXPh1or1/pf++eRV3ekfLtAxM\nr7/SRSSnVi23qO7gyAwxN9Lso4+WUF00gicN+viF3nn6ToaM+oj01LbYJos+Vca0Y31Nk6wK1T6i\no1sr5HPtzWGuw7n9GlRa+BtmeLsYaKRVkeJUdCKW1W0cmVmFV2RGGvR54Tl9P0eJJAyx1QIyg8Y2\nkVEOZnQXTj7U/wFFOtfns/EFi7wiqOMkY20yBSB8JuF1YnHPXHvMNPXZNKdwcJyx3ljaqebz5UD7\n+E/+G30aeUrUXNFoKbQZV7V/YTkED+rI0UNEmfwb2zizfXue1DdIz/8q4cnrpB1NKvTP3kEFTZwS\nhRa1EIsDlGnDycq6nt0s/r9jKN0qC9WiEiwBEnmwgpedUDNGZMNpj4Y3o1vTiWKauwTCQZXYREc8\nG44/QcfTkziMz7Z4+CZycogo2zXZXPfOS6SRLEBJze0wFYfIJzjxzMIXG24IKZaJW6s45EpYPabb\nNwds7TQITd96reeSFg7CdXj1q3qHKhyH+aKw8FyROxztTSyvww80t6F0GWz3qvzyb3ze6mOpBwWT\naQEUFIUW5mvUPcL52PbHJwc3mBzcxDdtDi+skCfzpZ/16X3CWtc6Aqr6DtH3/5GtLty9N6FzCSf5\nSFcfAImRUTe31Qs+0Ggnw+omn+Ke/AC3bA16MW51E+Xre+XM7mt9KwpLSHPjLZQTURiUT8VFz6TK\nBbq1q2GpZXI/+RA1fohTkvWEq+P2CJQYmaGCjm3PiMWxRl+ZmLU4Q6omGDKfkx1rs6hT3SIS6y9R\n7Pw87tEb+vVufh0mD/VuPDPEw+b5ZQsUXZnG+YNl2xOo1y8hJjpBrDd7j/l6g9aBynOFlDqGtZqH\nF9XsnGp+tsd47yMbQ79So0jmS1/5wR5B3FrGsHOd4J3/AVWk+A+0GRSNbcTgxrICScfWjwbADepG\n78qg8VSBe/YObjkXdEO82raVWnGzAcoJtM+HaWE24y2kqKNMVeEpiZfsL73oZYZfWuY+O37sj6cn\ncZQ7stZ5nTTKPr5rymcrQb2BSE6RYCuOvHENkRwvS/mwzZ3jiHMd/Vh6DYpMkpokcPV6FyWV7QMf\nnEhaTUMAM7uu03FCFLh2oN5djVnbXKKM8kKRpAV9M2D/7f/+T/n3/pOfYXiqz/PylVeJmje49f7H\ndmjfXD/P+OAOyWTZnlm5+mW7e03GJ/iVmoZ0AqLahf5ntAwJ4Nz4A51ESylxvwJ5glr5FM6JlvFm\n/FDPG8oqpkhR9Z2lJlHQhIr2PQGs90nJNFd+HeU3UTJDla5wSjJKQhqBrraUG8PwNrNjvQBn994l\nqDaXYo2tXe0pUQr9FYnWssrnWl8L47tiyIkAi96X8ZJ9S/SUYY+5rBMrvTlwVEp69BFT4/Xt7H1M\n5da3cDe0vLnoXIR0jHvvT5ZD+sVAt/tMO8ZNjsn9JrlxmwQNhS1RV0r4FPE2ntmQ1Dcucz2Muf3e\n+3YD0b/0Emd33iY3rSmZp3QvfZaoYaRSBnt4lZqdeYhKC3XlV+CDf6bP+6PfsaKV1girSFErL+EM\nDZfp7BP9nPL32QzVOL9UsnUEsnpuyTRXEpS0oADl11BehHIj7LhbSU6Gil5dtz1Dx8XJJrgLXWHL\nIEOIpXTNs+PH+3hSasefA/47wAX+KfDf/mu/V8U3/3P9r2ymd6hGJFAmY0RQWS4GrV2dTOYnS0x/\n2NAtnVh/efPmNdzpHZyp+WKFLWa9rxDOjd9BcoSM+kxd/QWOQi0DIXFxi5E5I8k4q9nkoqTSRCsj\nTeIKh0VS2AF76ctd+kBP/qddProx0Wiruv7ZYlEQV1zbAioKheMsxeV83yHwBUGsrzWsd5BZaiG8\ncXcL4YUEsU5WevCa60XZ9OWZH8PWlynMfME9fhO8GMdwLNTg1vJeAnn/S7pfXirIBttUJ29pkuDc\nWL/6Zo5jXRoL3B/9r8z3tYx3Oh1S7W7hrb24PIdHgzsf4HiBft+y1RS1dJIrH/s1mB3aXXXa/Rz+\n8F0cI/BYtK5T/OV/TTrW7S8pC5o/9Z+hbv+Z/vsi1a8/PUCaz44IKrqFtKUtbcuWn9zUbVBx8g44\nLqqlZ05F1McffWBnSgd/+A/54Ef3kApaDR3D2bwgilyqhkSY5wohHIRh2fu+IPCFbTdGzVVkniDM\n/a+017QneVTT6segN0nCXcqUjB/CyvPka18BwDt7Z3mPAEa3dezNhkO2ntOIOzMXVH4Nb3IL6bfw\npjqZSE//bYlOLI9Hk83d5Aq/vPt3eXb8eBxPuuSIC/yPwM8AD4A3gN8D3n/0Safvas2nSnsdP6r/\nv+2dTYgcWR3Af1X1uj66qz+mpzvzlZnJZDMxSzYIWTeuuGiQVRH04MdBRAQPe1w8C4LgSRQ8KawX\nFz148yAeFBGExYsaoglmYzabNbubj/nOzPT0Z3VVefi/V91hYdGDGxPeD4ahqqu6Xvd7/f7v/T9R\nFb3qri3KhGC25elQ/mZOwb4OEmyfJW2d5/5QfhRLR1fBcRm3LwDaOJt1itWskw5Iy8eJdMGjPA15\nZyPlRHtA6stze32Z5E3eoriicD2nSA5ojOn3danRxaWY/mAsWVyBMG7Sao7oD9Ii+rk9G1CpRoUa\nI89S6ktniFdF1z3YeoPwqYvikgySOHDazbXcElWUrjbHuCeTTJ7KeYCFj5CXF/B2xWZEOCsOBVqI\nOo01MhUXQXHq4HVwfQhE8PgqF+cDN2Q4L0Z9N9kX47qJ/XCCiVoFUc+MRz0O//arh/uwqgMAy7Ni\nxO7vTHaS3U1on4Nd7X1UX2M8/wJ7I/n+W50bYvdYklQd/sYfScZDMn1/UG2y+9vvFBNyWG/jlxu4\nlVnctp6Au1sioIyHUzQLSR/37msylJY/g5MnpJEu7bv3V8bRcZxA+lgFEc0Zn34/JUkmfViu+IVg\nSEd9qgvr1NaeA2C4c4vg2IcmO+Xe7kS4gwiHwb6khDfnjA3LeIy1z5K2nysEhqMC0vAYbue2HFeX\nRBBo1aw32CLHxTG7NzWP55YgS+i2Pil9lPUm9iJkd3U0rjKD/g1lSZEVwfL48yTsOD4GfBfZdQDo\nrQXfn7om3/mpTPKeHxG3V+lsviXHyideWKe/J7raaPlZ8oN3SUd91NpFufvgtggT4w4aNsQmoieZ\nzuKXqO2/Rm7sJo4H8VJhA3GSI1GbTCWSy8I5RmOnqPFRj/q4/S0GZTG0BqP75KrM0Vh+rLHqMMhr\nhVpq84fL/OVaj72uQ1nPIYv1nOXFkJUzkhJj+7aosUq6dnS5EtFYPosXiHfYsLNHffksR/fF5VRF\nMcovvyc1u1Oenejykx5ELbL1L8rrvXsycRYqv75cYyatUiRCQH93TvMUSeMcqT9L6VAmXMlYXCep\nSsR6af8qzr9+x9blXwPQ399C+UHhaaT8iMpUHwLUTpxnsH2L8JhWE406jHsHqBW9G+huymcw7fSr\nsjgwlSEH+wzf/APb/xT7RZ6lqHCSvkX5ESqK6T/YKM65rkc6HhJckMR9o0uvSHR+S1cR7OmdkVGp\nVebk+dqedueXL/GnSw/YOnIw6v/5Ws7qYsDKaSmItL/xLkkihZQAwiikurBORbehu3uH2vFn6G68\noR8VUQqrOO4kxb7jejJmjQpy2IGwQf7U5+X1cQ+2r0gWAZCxnvQm14eNh/rUaayRVE8zChaKXbbX\nu0NeinngS7zPzOia2AqNesyvslP9FC/OfQ3L48H77TieBMHxFeCzwEv6+OvAR4GXp67JL31LJuBG\nvcTe/iSL57FWQNSYZ6T9zVUYEx9bJWosTFwg55+RScfU6r4leYE8451kdMrHX5D/21dkBWwER56I\nqsuvkhn3zTwTrx+TN6pzk7xUI5kRnbrXuyPZavWuZVx7GnV4vfAS2n3102zd3cRxoL0o52ZPnid7\n8RX8Gz+T586eIe/cnaSjcJSeQPQslfTIG+s6cA3G8UlKB/8oqiVm4RyZ38RJDjjIdKGgLGfGvVfk\nqur6a4Qq4bAn7zkYpbSaYVGPg3TI5p5UBgRwnZyt3SF5RlFe9+3bB3jKZWVVVFZ5Drs/WuX1N3V2\n4hzmmoqajvto1Evs7A4LFVxzxieotQsVEkD9+Bk8v1zYd9TSsyLAFp+X97z6c2mPjnGhtsLvf/w9\n9o6k3XEAp09WCrsVSLCb68jzASrNOZLewSSvFNA49TxZV9Rd7tw5GTd6QTF6cAdP+XiR2Cf2b1/m\n3s3rZFlOa176oHnyPKULL+O8rXNPRS3ZUThTk7hfJdfZcJ3uPQgaU9mdq0WBKRN7Q56KZ5yJHPfr\ndIN1ymOJZcodj743T671ppHbIVfVIqgzUzWcPC0SWZZKkqstzXJCrRY97IyIQsVRV8ZFo+bTGl6C\nzcv6pjL7K9/gYvOrWB4PnnTB8WVkt/G+guPVL8hKc5zC4cBB6bmzEeWUfcj0/KA8qJZd3KnMqYHv\nUio5UzEWYiswqSSU56D8oIjudZWPX2kwjedHhUeMQUUxpVAEWp6luMrHjXUOIh3YVRgsx72Jrhok\n/fY7f8ZTAeORrJrDxoIILLOqdj0RambF29+RHYHxqAkbUDsx8UTKU5xSmczkocpTERCOR26KO3kh\nTpYUx9NFjeS4Ds7D9aqTzCXXHmeOK9X+spxiFZ0kGVmWF99vluVs/GCFS9flc+115XyjrF2XXdjr\nOShTaCjMiQMRMOZcJRJbgLENSB+6D/VhqTTpY6Vcrlw75K1dXbVxDL6C+ao8c6frMEig7ENTt8N4\nl4baxh+F8v5+yfmPn+n5ESqMJwIuejgNi/Ij3JLPWI8b1/VQUVy87rgefrmBExu34/Fkp2BcdrMU\nlD8ZS8axwIwTM67MLtFcZ8aaUf+ZY3OvqyZqTs8XleSUgZ3tK/RvSuXNIJ7l6OM/4RMzVnA8Ljzp\nNo67wPLU8TLoVK4TrnzzN6MPf3BNslgs7+UXj7oBlv+OK4+6Af9LFHALOAH4wN+Bpx9lgywWi8Xy\n/8/ngBvAm8C3H3FbLBaLxWKxWCwWi8VisVgsFovFYrFYLBaLxWKxWCwWi8VisVgsFovFYrFYLBaL\nxWKxWCwWi+WD5d/PFELY9KCoFQAAAABJRU5ErkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x1084c2810>"
       ]
      }
     ],
     "prompt_number": 4
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "`sklearn.decomposition.NMF`"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "We use `sklearn.decomposition.NMF` in a manner similar to `KMeans` and `KNearestNeighbor`. \n",
      "\n",
      "First, the `fit` method trains a model. "
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "model = NMF(n_components=2)\n",
      "model.fit(X)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 5,
       "text": [
        "NMF(beta=1, eta=0.1, init=None, max_iter=200, n_components=2,\n",
        "  nls_max_iter=2000, random_state=None, sparseness=None, tol=0.0001)"
       ]
      }
     ],
     "prompt_number": 5
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "To extract the matrix $W$, use `transform`:"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "W = model.transform(X)\n",
      "print W.shape"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "(1025, 2)\n"
       ]
      }
     ],
     "prompt_number": 6
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Let's display the two spectra:"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "logW = log1p(W)\n",
      "f = arange(W.shape[0])\n",
      "plot(f, logW[:,0], f, logW[:,1])\n",
      "xlabel('Frequency')\n",
      "ylabel('log(1 + Amplitude)')"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 7,
       "text": [
        "<matplotlib.text.Text at 0x10faebfd0>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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zwl4XauNnz/6MYDjoTnDoiB1XkTgKPDZQOAGls9Opi4jEKphAsaVVT04vJGeZ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\ny2KhRkEeBQAAAABJRU5ErkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x10fa5ac50>"
       ]
      }
     ],
     "prompt_number": 7
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Let's display the temporal activations:"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "H = model.components_\n",
      "print H.shape\n",
      "t = arange(H.shape[1])\n",
      "plot(t, H[0], t, H[1])\n",
      "legend(('Kick Drum', 'Snare Drum'))"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "(2, 255)\n"
       ]
      },
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 8,
       "text": [
        "<matplotlib.legend.Legend at 0x10e3c3ad0>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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Gmpoa09rTK+oTgDNQ7ZccoBB4DLiw52ZVXHUVnHii+sru9ot2oNSJnnq0qLe1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\npwAAAABJRU5ErkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x10e7b1bd0>"
       ]
      }
     ],
     "prompt_number": 8
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "Y0 = scipy.outer(W[:,0], H[0])*exp(1j*angle(S))\n",
      "Y1 = scipy.outer(W[:,1], H[1])*exp(1j*angle(S))\n",
      "y0 = librosa.istft(Y0)\n",
      "y1 = librosa.istft(Y1)\n",
      "y0.shape, y1.shape"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 9,
       "text": [
        "((132096,), (132096,))"
       ]
      }
     ],
     "prompt_number": 9
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "t = arange(len(y0))\n",
      "plot(t, y0, t, y1)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 10,
       "text": [
        "[<matplotlib.lines.Line2D at 0x10e363f10>,\n",
        " <matplotlib.lines.Line2D at 0x10e3661d0>]"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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kNgBBdxVYC9hbsb0C7F9DGeK4U08N/+heLQkRdzh/XKaWhNu++U14/PFw9xmU\nJIJaFyISPX3lxFlB3U11IV7cXpdLESnP+SSRhZZEViqjJO4nYdkkYe8zIiLxUJIQ53SVJMJsSYhI\neU4niRNOgAN1OcAep6vxh6jGJF659JVodiySck4fl82dm3QEkoSgloRtUUbV5TVpp0nR7Fgk5Zxu\nSUjPFJQk2tvDLyfLZ8KLhEVJIgaqjKrj7VoaODC5OER6MiUJcU5QS6J/f01iEEmCkoQ4RxfzE3GH\nkkQMxuw4JukQQhH3eRI6u1okefoaRuwXx/2CPYbvkXQYoYiruyeulkRWTnIUiZKShFQs7jEBdTeJ\nJE9JImJzl2XnZI8opqEGUXeTiDv0NYzYqo2rkg4hNFnrbhKR8pQkpGJKEiI9j5JExPbZeZ+kQwhN\n1rqbdJKjSHlKEhH77KTPJh1CaNSSEOl5lCQiliM7NZ1mN4n0PEoSEcvSXPysdTeJSHn6GkrF1N0k\n0vMoSURM3U3dpyQh4g4lCalY1rqbpu8zPdoCRDJASUIqlrWB6/1G7cfdn7+bI3c9MtqCRFLM6duX\nZsHhkw5POoTQZLG76bSPnMZpHzkt+oJEUkpJIiIPnPkAB447kBEDRiQdSmji6m6yNCYhkjyXvoZ5\nnQHrNltpR/02vfgi7Luv7kQnUomc+WJGVpdrTEKco+Qg4g4lCXGOkoSIO5QkpGKjRiUdgYjETQPX\nUrG//x22bo2+HLUkRNyhJCEVmzw56QhEJG7qbhIRkZKUJMQ56m4ScYeShDhHSULEHUoSIiJSkpKE\nOEctCRF3KEmIiEhJShIiIlKSkoQ4R91NIu5QkhDnbNuWdAQiYilJiHPGj086AhGxdD8JEZEU0/0k\nREQkMUoSIiJSkpKEiIiUVEuS+ALwErAd+GgX2x0DLAWWA1fVUJ6IiMSsliTxAnAK8LcutukN/ByT\nKKYAZwB711CmsxobG5MOoWppjh0Uf9IUf7bVkiSWAsvKbHMgsAJYBbQBdwEn1VCms9L8QUtz7KD4\nk6b4sy3qMYlxwGrP4zcKz4mISAqUu33pI8DogOevAeZWsH+d+CAikmJhnIDxGHA58M+A3x0EzMCM\nSQBcDbQDNwRsuwLYLYR4RER6kpXA7kkH0ZXHgGklfleH+Qfqgb7Ac2R04FpERDo6BTPe8D7wFjC/\n8PxY4AHPdscCL2NaClfHGaCIiIiIiGSYKyfbTcB0nb0EvAhcWnh+GGYAfxnwMDDU8zdXY+JeChzl\neX4a5jzyidhmAAADw0lEQVSS5cBPPM/vANxdeP4pYGLY/wTm3JRnKU4sSFP8Q4F7gSXAv4BPpCz+\nqzGfnxeAPxTKczn+24GmQllWXPGeWyhjGXBOSLHfhPnsLAbuA4Y4Gnup+K3LMWO3wxyOPza9Md1Q\n9UAfkh2zGA3sX1gfhOki2xu4Ebiy8PxVwPWF9SmYePtg4l9BcSLAQsw5IgDzKA7cfxW4pbA+HXPe\nSNguA34P3F94nKb4ZwMXFNbrMF/ytMRfD7yC+XKC+YKe63j8hwAH0LGiiiPeYZixyqGFH7tea+xH\nUpzWf73DsZeKH8zB6oPAqxSThIvxx+aTmBfE+nbhxwVzgCMwmXtU4bnRhcdgMru35fMgZjbXGMzR\njHU6cKtnm08U1uuAd0KOeTzwF+Awii2JtMQ/BFPJ+qUl/mGYA4udCvuei6m0XI+/no4VVRzxngH8\n0vM3txb+rtbYvU4BfldYdzF2CI7/f4D96JgkEo0/6Qv8uXqyXT0myy/AfGGaCs83UfwCjcXEa9nY\n/c+vofg/ef/fbcAmOjYpa/V/gCswTVUrLfFPwnyQf42ZTv0rYGCK4t8A3Ay8DqwFNmK6bdISvxV1\nvMO72FeYLsAcWdNFea7FflJhf8/7nk80/qSThIsn2w0C/h/wDWCz73d53IwZ4ATgbcx4RKnzX1yO\nvw5zochbCsstdG5Vuhz/bsA3MQcYYzGfo7N927gcf5C0xWt9B2jFjAulxQDMScrXep5z4qZwSSeJ\nNZg+OGsCHbNc3PpgEsQdmO4mMEdT9qzzMZiKGDrHPh4T+5rCuv95+ze7FNZtn/uGkGI/GPgcppl6\nJ3B44f9IS/xvFH4WFR7fi0kWb6Uk/o8BTwDrMUdu92G6U9MSvxX152V9wL7C/N6fBxwHnOV5Lg2x\n74Y5wFiM+Q6PB57BtOTSEH9kXDrZLgf8FtNl43Ujxf7Ab9N5MKwvpqtkJcXMvwDTH5ij82CS7Q88\nnWgGrgEOpTgmkab4/wbsUVifUYg9LfFPxcyK618odzbwtRTEX0/ngeuo4x2GGX8aihnDseu1xn4M\nZnbZCN92LsYeFL9X0MC1a/HHxpWT7T6N6ct/DtNl8yzmBR+GGQwOmhJ4DSbupcDRnufttLQVwE89\nz+8A3ENxWlp9+P8GYJKEnd2UpvinYloS3imMaYr/SopTYGdjWqYux38nZvykFdN/fX6M8Z5feH45\nZhZYrbFfUNjXaxS/v7d4tncpdm/8LRRfe69X6Dje5Fr8IiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIi\nIiIi2fH/AW3/XeIGiK1jAAAAAElFTkSuQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0x10facb250>"
       ]
      }
     ],
     "prompt_number": 10
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "Audio(y0, rate=fs)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "html": [
        "\n",
        "                <audio controls=\"controls\" >\n",
        "                    <source src=\"data:audio/wav;base64,[encoded data, 352316 characters]\" type=\"audio/wav\" />\n",
        "                    Your browser does not support the audio element.\n",
        "                </audio>\n",
        "              "
       ],
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 11,
       "text": [
        "<IPython.lib.display.Audio at 0x10e437390>"
       ]
      }
     ],
     "prompt_number": 11
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "Audio(y1, rate=fs)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "html": [
        "\n",
        "                <audio controls=\"controls\" >\n",
        "                    <source src=\"data:audio/wav;base64,[encoded data, 352316 characters]\" type=\"audio/wav\" />\n",
        "                    Your browser does not support the audio element.\n",
        "                </audio>\n",
        "              "
       ],
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 12,
       "text": [
        "<IPython.lib.display.Audio at 0x1084c27d0>"
       ]
      }
     ],
     "prompt_number": 12
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 12
    }
   ],
   "metadata": {}
  }
 ]
}