{ "metadata": { "name": "", "signature": "sha256:30e1e380266f556a0980dbf3ecb3a84bfe1c10f2c86f4312e7fd08a34482f7d1" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "code", "collapsed": false, "input": [ "%pylab inline" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Populating the interactive namespace from numpy and matplotlib\n" ] } ], "prompt_number": 1 }, { "cell_type": "code", "collapsed": false, "input": [ "from __future__ import division\n", "from IPython.core.display import Image\n", "from deltasigma import *\n", "import warnings\n", "warnings.filterwarnings('ignore')" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 2 }, { "cell_type": "code", "collapsed": false, "input": [ "# skip this, this is just to display nice tables.\n", "from itertools import izip_longest\n", "class Table(list):\n", " def _repr_html_(self):\n", " html = [\"\"]\n", " for row in self:\n", " html.append(\"\")\n", " for col in row:\n", " try:\n", " float(col)\n", " html.append(\"\" % col)\n", " except(ValueError):\n", " html.append(\"\" % col)\n", " html.append(\"\")\n", " html.append(\"
%.3f%s
\")\n", " return ''.join(html)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 3 }, { "cell_type": "code", "collapsed": false, "input": [ "np.set_printoptions(suppress=True, precision=3)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 4 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Delta Sigma modulator synthesis - example #1\n", "============================================\n", "\n", "Demonstration of the synthesis of an example delta sigma modulator, as done in the `MATLAB Delta Sigma Toolbox`, employing its Python port `deltasigma`.\n", "\n", " * The **Noise Transfer Function** (NTF) is synthesized for a **5th-order**, **low-pass** modulator, having the following characteristics:\n", "\n", " * A relatively low Over Sampling Ratio (OSR), equal to `32`, \n", " * A 1-bit quantizer. \n", " * Maximum NTF gain equal to 1.5.\n", "\n", " * For this example modulator, we select to implement the CRFB topology -- see below, for order being odd -- with a single feed-in, ie $b_n = 0\\ \\forall n > 1$ ." ] }, { "cell_type": "code", "collapsed": false, "input": [ "Image(url='http://python-deltasigma.readthedocs.org/en/latest/_images/CRFB.png', retina=True)" ], "language": "python", "metadata": {}, "outputs": [ { "html": [ "" ], "metadata": {}, "output_type": "pyout", "prompt_number": 5, "text": [ "" ] } ], "prompt_number": 5 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Set up the parameters" ] }, { "cell_type": "code", "collapsed": false, "input": [ "order = 5\n", "osr = 32\n", "nlev = 2\n", "f0 = 0.\n", "Hinf = 1.5\n", "form = 'CRFB'" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 6 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Synthesize the NTF" ] }, { "cell_type": "code", "collapsed": false, "input": [ "ntf = synthesizeNTF(order, osr, 2, Hinf, f0) # Optimized zero placement\n", "print \"Synthesized a %d-order NTF, with roots:\\n\" % order\n", "print \" Zeros:\\t\\t\\t Poles:\"\n", "for z, p in zip(ntf[0], ntf[1]):\n", " print \"(%f, %fj)\\t(%f, %fj)\" % (np.real(z), np.imag(z), np.real(p), np.imag(p))\n", "print \"\"\n", "print \"The NTF transfer function has the following expression:\\n\"\n", "print pretty_lti(ntf)\n", "print \"\"" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Synthesized a 5-order NTF, with roots:\n", "\n", " Zeros:\t\t\t Poles:\n", "(0.996045, -0.088847j)\t(0.806557, -0.119823j)\n", "(0.996045, 0.088847j)\t(0.806557, 0.119823j)\n", "(0.998603, -0.052839j)\t(0.898071, -0.219819j)\n", "(0.998603, 0.052839j)\t(0.898071, 0.219819j)\n", "(1.000000, 0.000000j)\t(0.777767, 0.000000j)\n", "\n", "The NTF transfer function has the following expression:\n", "\n", " (z^2 - 1.992z + 0.9999) (z^2 - 1.997z + 1) (z - 1) \n", "-------------------------------------------------------------\n", " (z^2 - 1.613z + 0.665) (z^2 - 1.796z + 0.8549) (z - 0.7778) \n", "\n" ] } ], "prompt_number": 7 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Graphical inspection of the synthesized singularities" ] }, { "cell_type": "code", "collapsed": false, "input": [ "plotPZ(ntf, showlist=True)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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Y2FhatmyJnZ0djzzyCACjR4/W3+iePHmyPrZu3bqxfv16YmNj9d1HFy5coF27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\nXo30JeZsKi/9fIxRXYpqJ8nSKtp34VoW76w/QVM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"text": [ "" ] } ], "prompt_number": 8 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Realize the NTF with the CRFB topology and create the ABCD representation" ] }, { "cell_type": "code", "collapsed": false, "input": [ "a, g, b, c = realizeNTF(ntf, form)\n", "b = np.hstack(( # Use a single feed-in for the input\n", " np.atleast_1d(b[0]),\n", " np.zeros((b.shape[0] - 1, ))\n", " ))\n", "ABCD = stuffABCD(a, g, b, c, form)\n", "print \"ABCD Matrix:\"\n", "print ABCD" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "ABCD Matrix:\n", "[[ 1. 0. 0. 0. 0. 0.001 -0.001]\n", " [ 1. 1. -0.003 0. 0. 0. -0.008]\n", " [ 1. 1. 0.997 0. 0. 0. -0.063]\n", " [ 0. 0. 1. 1. -0.008 0. -0.244]\n", " [ 0. 0. 1. 1. 0.992 0. -0.802]\n", " [ 0. 0. 0. 0. 1. 0. 0. ]]\n" ] } ], "prompt_number": 9 }, { "cell_type": "code", "collapsed": false, "input": [ "DocumentNTF(ABCD, osr, f0)\n", "f = gcf()\n", "f.set_size_inches((15, 6))" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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uO68v/TXBg3jI7oNHefijdeQXFvObi/rTq01SpCM1CBqz5g2qwxzFxXDkCBQU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\nF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"text": [ "" ] } ], "prompt_number": 10 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Typical spectral characteristics" ] }, { "cell_type": "code", "collapsed": false, "input": [ "figure(figsize=(15,8))\n", "PlotExampleSpectrum(ntf, M=1, osr=osr, f0=f0)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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SR1rm2n0F83RsZkCRjbDMaYh3YUw038vevXD0aOC+FSsCtxOsx3b4ZXE4VMu2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zzH7W0tfLjZ6233vfk02r3mZ0ENfrkdKjJcX1fDqyor+XJPD4cSCYx1F9nj9422Fj5inuf6Awf4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\nPwa80XGcS4F3AZ/zXfY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"text": [ "" ] } ], "prompt_number": 11 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Signal to Noise Ratio analysis" ] }, { "cell_type": "code", "collapsed": false, "input": [ "snr, amp = simulateSNR(ntf, osr, None, f0, nlev)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 12 }, { "cell_type": "code", "collapsed": false, "input": [ "figure(figsize=(15,8))\n", "if nlev == 2:\n", " snr_pred, amp_pred, k0, k1, se = predictSNR(ntf, osr)\n", " plot(amp_pred, snr_pred, '-', label='predicted')\n", " hold(True)\n", "plot(amp, snr,'o-.g', label='simulated')\n", "xlabel('Input Level (dBFS)')\n", "ylabel('SQNR (dB)')\n", "peak_snr, peak_amp = peakSNR(snr, amp)\n", "msg = 'peak SQNR = %4.1fdB \\n@ amp = %4.1fdB ' % (peak_snr, peak_amp)\n", "text(peak_amp-10,peak_snr,msg, horizontalalignment='right', verticalalignment='center');\n", "msg = 'OSR = %d ' % osr\n", "text(-2, 5, msg, horizontalalignment='right');\n", "hold(False)\n", "figureMagic([-100, 0], 10, None, [0, 100], 10, None, [12, 6], 'Time-Domain Simulations')\n", "legend(loc=2);" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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78ccfadeuHWFhYdx2222888471KxZE4DRo0dnTjs3duxYTp48Se/evbNNaffA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\nurJYsmQJxxxzDF27dqVLly6cf/75VFR4y8Ft2LCBE088kV69etGzZ08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"text": [ "" ] } ], "prompt_number": 13 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Dynamic range scaling\n", "\n", "Keep the integrator outputs within their working range -- to avoid waveform clipping and instabilities.\n", "\n", "The ABCD matrix is scaled opportunely, then the effectiveness of the dynamic range scaling is verified and the state maxima are plotted for different amplitudes." ] }, { "cell_type": "code", "collapsed": false, "input": [ "print 'Doing dynamic range scaling... ',\n", "ABCD0 = ABCD.copy()\n", "ABCD, umax, S = scaleABCD(ABCD0, nlev, f0)\n", "print 'Done.'\n", "print \"Maximum input magnitude: %.3f\" % umax" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Doing dynamic range scaling... " ] }, { "output_type": "stream", "stream": "stdout", "text": [ "Done.\n", "Maximum input magnitude: 0.583\n" ] } ], "prompt_number": 14 }, { "cell_type": "code", "collapsed": false, "input": [ "print 'Verifying dynamic range scaling... ',\n", "u = np.linspace(0, 0.95*umax, 30)\n", "N = 1e4\n", "N0 = 50\n", "test_tone = np.cos(2*np.pi*f0*np.arange(N))\n", "test_tone[:N0] = test_tone[:N0]*(0.5 - 0.5*np.cos(2*np.pi/N0*np.arange(N0)))\n", "maxima = np.zeros((order, u.shape[0]))\n", "for i in np.arange(u.shape[0]):\n", " ui = u[i]\n", " v, xn, xmax, y = simulateDSM(ui*test_tone, ABCD, nlev)\n", " maxima[:, i] = xmax[:, 0]\n", " if (xmax > 1e2).any(): \n", " print 'Warning, umax from scaleABCD was too high.'\n", " umax = ui\n", " u = u[:i]\n", " maxima = maxima[:, :i]\n", " break\n", "print 'Done.'\n", "print \"Maximum DC input level: %.3f\" % umax" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Verifying dynamic range scaling... " ] }, { "output_type": "stream", "stream": "stdout", "text": [ "Done.\n", "Maximum DC input level: 0.583\n" ] } ], "prompt_number": 15 }, { "cell_type": "code", "collapsed": false, "input": [ "colors = get_cmap('jet')(np.linspace(0, 1.0, order))\n", "hold(True)\n", "for i in range(order):\n", " plot(u,maxima[i,:], 'o-', color=colors[i], label='State %d' % (i+1))\n", "grid(True)\n", "#text(umax/2, 0.05, 'DC input', horizontalalignment='center', verticalalignment='center')\n", "figureMagic([0, umax], None, None, [0, 1] , 0.1, 2, [12, 6], 'State Maxima')\n", "xlabel('DC input')\n", "ylabel('Maxima')\n", "legend(loc='best');" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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4wEpQVZX1CxeWC6IBBqWmErVsWaMblbaOf3nilpaQkHDb31luLaQvrYP0o/W4\nlfoyaWs0sbql2KqF6BUH/LShxhQMQyGkbjIG0BePQu8nIOgXaN6toZtc6wy2lteh66LpSrcEj2r3\nZUFBCUX53Tm9u2u58mHeKtOnD+bHDPjbRhjZGQ48C81rtuhylaklJWT+/DNHNm3iyKZNnD11ijss\n7FdSYDnXuyFJIC2EEEKIBpW0NZqYiFnl5mUOW3kUjtyDV7Nt0Ko/9HseugWCxvJqercyFZUjHCZD\nn0FXzFcjtjXcfI5nSwoK9GzceIBff80CzNMz7ZvYMS8e1u2DFQEwvle1TlMthuJi0hISOLJpE8lf\nfknT1q3pNWECwV98wb5//ANizedSs3F0rL8GVpIE0qLB3SqjJeLmpC+tg/Sj9bhV+tLiwin3nyQ8\n0QaviB3g2rOBWlb3TnOK7/iWK1xhqt/j/C/sv+VzpOcdYOaYUEZ5jap0nTk5V1mx4hc++OAXBg1q\nx7x5U1gW8TFniluDnSMUF9DKVSH1gVU4noP9z4Cb5fTqWlV89SqpsbEc3bSJlM2badmzJ70nTGBq\nUhKtev7Zx5NCQ1memlouvWOPhwczZja+2VYkkBZCCCFElVSYhnEjhXlwOd30SCv33PbUPhhgfojG\npYvVBtH55BNPHEc5wgP4cBf3oPHS4I47UeGRGDQGNAYNM8eEms3aUZETJy7y7rs/s2HDAQIDexEX\n91fuvLMt0XFJ8EM/GPlu6b458fOY5LyP94O9sLA0Ra0pyMvjWHQ0RzZt4nhcHO3vvpveEybwwMKF\nNK9glrBredBRy5ZRUlCAjaMjM2bObHT50SCBtGgEbqUcPnFj0pfWQfrRetRFX1pMw4hIhaJLeN1z\nh3mgfCkN8tPBUAzOXaB5V+NX5y7GGwadu6Df8jKQaHYug9L4PsqvKT16fuJHdrCNgQwilNk0oUnp\n675evhYD5xv15S+/ZLF48U/Exx/nqafu4uDB6XTo0Lz09aWRsZwpE0QDqD5vkrIrHOXZmk3za2ma\nuvsGDyb56685smkTJ7dvp6u3N70mTGDsypU0bd26UvX6BgQ0ysD5ehJICyGEEKLSYj+zkIbhnUr4\n8r/h9bc7/wySnbuCu/efwbNDSyoa+vQL+T/CIjLL1Tsv0YMxTze+j/Kr61oedAxbaEtbnuIZWlO5\noNKSkhKVb789xuLFP3LiRC4vvDCUNWvG0aSZA0fPw/cHYN8Z2HsGktJtwcK9mQUl1cu9vsbSNHWL\nkpLoYWOOv6Z9AAAgAElEQVSD39ixDJgyhb/85z84NG9+g1pubRJIiwYnI1/WQ/rSOkg/Wo9a7cu8\n45D8CbZnzEeOATTuwyE4oVpVX0sLuZUWTqmKP/Og/2AcgfSgR4X7RsclsTQqlsISWxxs9ISG+BHg\n61Xal9duIHznnZ+wa+LAo8+PolXf7hw4Z4PPZ3DoHHRwhkHtjI+X7gN1q54EC+dytLE8S0hlRS5d\najZNnXdBAWm+vvzls89qVPetQgJpIYQQQlhWdMm48MnRjyH3KPSYiL7lIOBns11rmobhNTrAagLn\na8rmQd+PD3dzDxoqHgWOjkviqX9/US4N48C/Z7MG6N13MAvXHePz7Tk49eyC/ePTyC624wu9wqCz\nxqD5r/1hgBs4Xzd9nf6vfmQsDyP1roWlZR6/zmPmjDE1uj61sNByeVFRjeq9ldg0dANuJ9u3b+e+\n++7D1dWVVq1aMWLECHbv3g3A+vXrGTlyZKXrSktLw8bGhpKSkmq15cKFCwwfPpzWrVvj4uLCoEGD\n+PLLL6tVV00lJCQ0yHlF7ZO+tA7Sj9ajWn1ZYoCTMRD7GHzcGdKjYeCLMCUTvJbi99f5hCV6lDtk\nXqIHvlrrScOoKT16trOND3gfexwIZTZDGHrDIBogfGmkWS7zmZHv8vBr3+LxoQ2br3Rg7OQhvPFE\nN76YbE/uSwp7n4Z1D8PMITCis3kQDRDg68X7z/vjnxaO9/EF+KeF8/6MMQT41iw/+tLZsxbLG+M0\ndXVFRqTryaVLlxg7diyrVq1Cq9VSWFjItm3bcHCo2azn1V3i3cnJiXXr1tGzZ09sbGz46quvCAoK\nIicnByenepgDRwghROOSc9g48pyyAZq5g+cUGPk+NCmfx2vtaRg1UTYPug1tqpQHfewCHD1nOYfc\n9uJJPumfQLDWv9ptC/D1qnHgXNb+Tz6h/blz7O7cmXtOniwtb6zT1NUVCaTLiEuKIzJ2IyW2Jdjo\nbZjk91ilp5y5mZSUFBRFITg4GABHR0d8fY11HzlyhOnTp1NcXIyzszN2dnbk5OQQHR3N/PnzOX78\nOC4uLjz55JO88sorAHh5Gb8ZXF1dAdi6dStDhw5l3bp1LF68mDNnzjBkyBAiIiLo3Nl8cncHBwc8\nPT0BKCkpwcbGhtatW2NvX/8T3Us+pvWQvrQO0o/W46Z9efU8HIsyBtBXTsMdk+HhOGjZ54aHWWMa\nRlVdHzOM8XuQK175/EE+43iYHtx42r5iA+zIgM0psPkY5FwpoaiClOVm/FGjILq2HfniC7a+9BIL\nkpLYd+LELTFNXV2RQNokLimOZTFLy02CvixsKUCtBNOenp5oNBqmTp3KxIkTGTp0KC1atACgd+/e\nrFy5kjVr1rBt27bSY5ycnNiwYQN9+/bl4MGD+Pr6MnDgQAIDA9m2bRvdunUjLy8PGxtjhs5XX33F\nokWL2Lx5Mz179mTRokWEhISwY8eOCtvVv39/kpOTcXJy4ttvv22QQFoIIUTdsDjf8/2+kP6tMXjO\n+gG6BMC9b0JHH7Cp2SwOtwtLMcPysGVoCWa614wKUzhyrsKW3+GbFPjuWAktKMA1+ySXt+2Fk1k4\ncZQ83XTQrvjzIN2zdHVuPP2SGhfH5meeYfKWLbTp0wffPn1uq8D5epIjbRIZu7HcNwTAwIX9iYqL\nrJX6nZ2d2b59O4qiMG3aNNq2bUtgYCDZ2dmA5RQNb29v+vbtC0C/fv2YOHEiiYmJFe6/cuVK5s6d\ni6enJzY2NsydO5d9+/aRkZFRYbsOHDjA5cuXWbBgAY8++ij5+fm1cblVIvmY1kP60jpIP1qHpK3R\nfPn+07wxIJYFAxN5Y0AsMUsnkTS3Nex/F7qOgyknwW8jdPaTILoSVFQukcfq2AizmGHUQm/2xO0p\nF0SrKhw9D2//CPeu0tNhsYGXN54mLmIrmlWrGLwnmmk9LhP38WjOnpnDxnXzaJf/O6wKgXVTYVUI\n7fJ/5/X50xvF9+XJHTvYNGkSwZs20f6uuxq6OY3CbTEi/U/CbrrPcdtUOtHBrDxV83uljn+NhTfd\np1evXnz00UcAJCcnM3nyZF544QUiIy0H6zt37uTll1/m0KFDFBUVUVhYiFarrbD+9PR0Zs2axZw5\nc8qVZ2Vl0alTpwqPs7e3Z+bMmXz44YfEx8cTGBh402sRQghRe6q1UuD1DEVQeBEKLkBBDrHr57Nk\nzKlyuyz0v0T4ryPxGm95CjvxJxWVPHI5ZfpzmlOcIguAPNs8i8cYNAaKDLAtHSL3FLI5Bf4oKMEm\n9RhKyjEe6g4+3p0Z9bcB9O7tg3LdvNoBAb6sAZYti6KgoARHxybMnPkSAQG+DR5In967l8/Gj2f8\nhg10HjGiQdvSmNwWgXRlgtzH9VMtlnsYelTq+Kry9PRkypQpREREAJh9MwFMmjSJ0NBQYmJisLe3\nZ/bs2Zw/f77C/Tt37kx4eDghISHVapNer6dZs2bVOrYmJB/TekhfWgfpx/plcaXAVSmQn4nXvQNM\ngfEFKMwpDZLLb5vKDFfBoQU4tgKHltheOWnxfBrN7fVhdGXuf1JRuUhOuaD5NKfQoKE97rjjzj0M\nxp1HaE5zNqfEWTxX0t5zOL9WhJKTg+b3Y9zX+iqBQ125P7grffr0s/iz+3oBAb4EBJinlDbk9+X5\no0eJfOghAlasoId/48nVbgxui0C6Mib5PcaysPL5TvvmHWDmmNBaqT85OZno6GiCg4Pp0KEDGRkZ\nREVFMWzYMADc3NzIzMykuLgYOzs7APLz82nRogX29vbs2rWLyMhI/E3/gNu0aYONjQ2pqan07Gm8\noeHZZ58lPDycAQMG0KdPH/Ly8oiNjSUoKMisPTt37qS4uJghQ4ZgMBhYunQpBQUF3HvvvbVyvUII\nISon9j9LzFcKHJVG+NrZeBX3MwbGji1LA2Ra9DYvc2wF9s3LrRyoj/EHYs3OZ43Lblekovuf8sjj\nDq+eplFmY9BsjwPuuNMed+5lGO6444zlFfmOHNCTM/0Aj674s97/PnuAM6klLBj9Gw9rO9Knz4hK\nBc6NXW5aGp/6+eHzr3/R59FHG7o5jY4E0ibXfjuNCo/EoDGgMWiYOSa01mbtcHZ2ZufOnSxZsoTc\n3FxcXV0ZN24cb7/9NgA+Pj707duXdu3aodFoyM7O5sMPP2TOnDnMmDEDb29vgoODyc3NBaBp06aE\nhYUxfPhwiouLiYmJ4ZFHHiE/P5+JEyeSnp6Oi4sLfn5+FgPpwsJCQkNDOX78OA4ODgwZMoQtW7Y0\nyNR3CQkJMgJmJaQvrYP0Yz25cBAOLq94pcB2QyAoodrV+2lDefH938qld1jbsts3syH2U4v3P30Y\n/gFPez1Ne9wZwUja444Tlfv5d+oyXHYawGU1kDUhkdg5GCgu1HDBJZQmtmuZO7Nucocb4vvy8unT\nfDJ6NPf93/8xcMqUej33rUIC6TJ8vXxrLXC+nru7O5/dYLlMOzs7Nm/eXK7s0Ucf5dEb/Pb36quv\n8uqrr5Yrmzx5MpMnT75pe7y8vNi3b99N9xNCCFGLDMVwfBP89iHk/Q59n0HvNgIwD6ZrY6XAAwdn\nEL4/0ernezZg4ALnOWv6k216pNum0QXze4Q6aTozkUlVOscvWbDkxxK+OmKgqKAI3H057V4+ZnBW\nl9foOhqTKxcu8KmvLwMff5yht9G80FUlgbRocDLyZT2kL62D9GMdyM+CQxFweDW08IR+M6FbIGjs\n8Mu7m7CIzHLpHbU1cjxj9lxgbo3rqQ+VyWUuoYRccskuEzCf5Sw5XMAFV9xwoy1uDGAgbXFjn/6A\nxXNpDJWboURfApuOwPs7VVLOFFO842dGO12g6+hurPjiCfTj15Xua/vF48wIHlXt67+Z+vy+LLx0\niY0PPkjPhx5i5Lx59XbeW5EE0kIIIaxOrcyCUVOqCqcS4eByyIyHniHGxU5a9S23m6wUaDmXeWnY\n+5zmFD28epQGzOfIpglNaGsKmHtyByMYSWvaYIedWb2P+U2u1v1POVdh9R5Y/gu0VArIj99GlzPp\nvPuOLyNHGhdEa/nme3zw2SPoFUds1QJmBI9iwbwXaukdaTjFV68SNW4c7e++m9FvvWUVed51Sanu\nEtNVpdVqxwDvARpgjU6ne+u611sDG4B2GAP8xTqdbn1F9cXHx6s+Pj5m5cePH6d79+612HIBdfu+\nSj6m9ZC+tA712Y91EfBanAUj0QP/p9+vn+C06DIkf2pM31BLoN/z4PlX482A9exW+Z58fP5UOr1h\nPgXtz+G7mPV6aGng7IYbjlQt5SUuKY6ouD/vfwrxnVRhGufhc7B0F3x2CO5vX8il2CRSEn9j0SIf\nQkL6YWPTcEFlffSloaiIz8aPx9HVlfGffopic3vN8HIj8fHx+Pj4mP0DqJcRaa1WqwE+AEYDWcAv\nWq32a51Od6TMbjOAvTqdbq4pqE7WarUbdDqdvj7aKIQQon5ZDHgjjM+9fB6CkiLQXwV9ARhMD/1V\n09eKt2NXrzSfBcM7lfD/LDHWW1cjbDmHjcFzSiR0fABGLoMOo+rufFYim2zO2Z6zuJZDe017AhhX\no/pvdv9TiQoxv8N7O2H/WZjaV8/Ec9vRvbWLF1+8l69XzaBpU/PRbmtTYjDwxV//io2tLYHr10sQ\nXUn1ldoxBPhdp9OlAWi12v8AgUDZQPo0cO2zl+bABQmibw+3wmiJqBzpS+tQX/0Yq1tqOeB9Zxxe\nyYCNHdg6gqaJ6avpYWthW+NYWmZLocXzaU4nwmoXaN4Nmnc3fS3z3Lkr2DW9YZvNRtCDnsere7Ex\nfePiEegzDSYeAKeOtfQu1Uxj/Z7Uo+cIh/mFXZznHDZ6y0FbZXOZbyQ6LomlUbEUltjiYKMnNMSP\nAF8v8ovg4/3GEehmdvD83SWMufgr/5qSyMMP38GhQ8/Rrl39z2RVkbrsS1VV2fzMM1y5cIFJmzej\nsbP+XxxqS30F0h2AsutUZwJDr9tnNfC9Vqs9BTgDFS/hJ4QQ4tZ25idsz+2y+JKmw3B4LhGU6o2I\n6T85RPkfOUaGDqPhb1Fw+QRcOgF5x43Bb/q3cOk4XE43LmjSvBs4dzMLuJN2HiBm9YvlR9CXxMMw\nT7xCwqH7BNDYV6vNt4uLXGQ3v7CXX2lDW4YwlF70ZpDfD3WylkN0XBKzlseQetefC6slLwtj7V5I\nUrzw7gIRASqXDh7j/x6LpVMnF+Li/kr//m41Ou+tRFVVYufM4dyhQ/w1Lg5bx9tnnvHaUF+BdGUS\nsecB+3Q63SitVusBxGm12gE6ne5yHbdNNLBbJYdP3Jz0pXWo0348sxN+eQUuHkXv6A7kmu1isGlW\n7SAajPMnh0WkWp4Fw7GF8dHGwly/agn8cdoYZF86bvx6OgmOrofLJ4j9TxYLx5b/cbZwrIHw/Z3w\n6jmx2u2tS43he7KEElJI5hd2kUUmAxjI4zxFG9qU7lNXazksjYotF0QDpN+zEGVHOLs/9iI37Qxz\nnozl1KnLLFniz4MP9mi0N9fVVV8mvvYaJ+LjmZKQgH0DrCVxq6uvQDoLyk3k2AnjqHRZ94FxLW6d\nTpeq1WpPAJ7A7ooqLfuP6toa9J07d66lJouycnNzLb7fsi3bZbevaSztke3qbV+bY74263e+coS7\nDd9Azm8kO/+FMx3n4PdkEWHX5UjPS/TAfZg3CTX4/6bEthnthz1ZOn/yuYtX6D18fOmNhjc83qkD\nCbuPAZ0ZNepvf77eEmw7/BPYxvUuXzxTo/Za6/bdo+7mV3azo2A7DkX2+DT3JZgQfkz4kUMcMtvf\nd5Qxl7m0Pq+qnc/bexSnLsNn8fvIuNoUtdUd/HLaFrpipqk+j9fnfEV09DEmTmzP3Lm9GT26Z6N6\n/67fvqY26//p3XfZtXYtA997jyYtWjSq621s2xWpl1k7tFqtLZAM+ACngF1ASNmbDbVa7RIgT6fT\nvarVat2AX4H+Op0ux1KdMmtH/ZL3VQhRLWd/gV8WGFfxu3se9H4cNA6lLydtjSauzLRvvtrGO+3b\n/Kf9eWOA+ZLb4fv9eT1iSwO0qPFRUTnBcX5hF6n8Tl/uZDBDcLdwI+H1Ksplvl5+EaRcgOQLkHze\n+DUlx1jWzA48W4Fna+PXD18L5fiwpWZ12KwZz99DnmPevJG4uNyeqQx71q4l6fXXeTwpCRcZhLyp\nBp21Q6fT6bVa7QwgBuP0d2t1Ot0RrVb7jOn1VcCbwEdarXY/YAP8o6Ig+la1fft2/vGPf3D48GE0\nGg29e/fmvffe45577mH9+vWsXbuWbdvMRzssSUtLo3v37uj1emxsbGrUrk8++YSpU6eyevVqnnzy\nyRrVJYQQAGT/agygz++Du+bCg5vKBdDXeI0OaLSB8/VumDJym7l+8ZRH/f5CS68W7GYXNtgwmCEE\nMr7SU9VZymU+ujSMJ06Dq6dXuaA55yr0aGkKmFvBQz1hdiu4oxW4Xne6jRczQDcdtCv+LNQ9S+/W\nBt56q25WMm6s4qKjiVy6FLWwkD8uXqRNZiav//yzBNE1VG8Lsuh0uu+A764rW1Xm+Xmo4Rw3jdil\nS5cYO3Ysq1atQqvVUlhYyLZt23BwMP/BUhU1/UTh4sWLvPnmm9x5550NlhdW9iNRcWuTvrQONerH\nc3tg1wLj17teBv/PjbNpWIFbceGUuvietLR4ylth/+IB7udxryfpQhcUqvbzZPGn5rnMJwcvZFlU\nOBNDvejdGgLvMI40d3aBG03nrNeXcPDgWXbuzOJUWjFcLIFVIWDnAMWFcL45rYe1rFL7GoOa9GVc\ndDTLZ81iUOqfvwT+0qkTe1JS8O3Zs5ZaeHuSlQ3LqMuVsFJSUlAUheDgYAAcHR3x9TX+NnzkyBGm\nT59OcXExzs7O2NnZkZOTQ3R0NPPnz+f48eO4uLjw5JNP8sorrwDg5WX8uMvV1RWArVu3MnToUNat\nW8fixYs5c+YMQ4YMISIi4oZ543PnzmXWrFnodLpauU4hxG3q3D7jCHT2LzDoJfDXWU0AXdatNIJe\n21RU8shlVezKckE0wP0LvckIz6SrV9dK1XXhCiSmww9pxsfRTFvoYb7fnW4aPnjwBm1SVTIzL7Fz\nZxY7d2by889Z7N17ms6dXRg6tCOtWjlw9qw7nHIvd5yjY3ql2tkQyo4cKw4OTAoNxTegav/mDMXF\n5J8+zaWsLC6fOsWK+fPLBdEAgzMyiFq2rMp1i/IkkDa54cIAtfCfpqenJxqNhqlTpzJx4kSGDh1K\nC1Nif+/evVm5ciVr1qwpl9rh5OTEhg0b6Nu3LwcPHsTX15eBAwcSGBjItm3b6NatG3l5eaWpHV99\n9RWLFi1i8+bN9OzZk0WLFhESEsKOHTsstmnXrl3s2bOHFStWNGggLSOY1kP60jpUqR/P74dfXoUz\nP8NdL4FflHFeZ1El16dKTPJ7rMYzVkDNvieLKOIUWWSQQabpUUIJ+bb5Fvc3aAwV1pVbAEllAufj\nF2F4J7i/K6x7GObv0hNn4ThHm/J15ucXsXv3KX7+ObM0eNbrS7j33o4MHdqBV17xZvBg99K85+jo\npsyatZzU1EGldXh47GHmzBlVezPqiaWR4+Wm574BAaiqytWcHC6bAuRLWVmlzy9nZZVuX714kWZt\n2+Ls7k7zDh0ovnTJ4vlKCgrq5bqsmQTSJhUuDKBbViuBtLOzM9u3b+ett95i2rRpnDlzhoceeojV\nq1fTtm1biyka3t7epc/79evHxIkTSUxMJDAw0OL+K1euZO7cuXh6egLG0eY333yTjIwMOnXqVG5f\ng8HA888/z/LlyxvtVD9CiMbD7BO7MePwavIDnPkRBv0DfDdKAF1NllIlloUZb5CrjWC6MlRUcsgh\nkwwyOEkGGZznHG1xoxOd6MudjOEhXHHlqD7FYh1lF0+5XAjbTv4ZOCdfgHs7GAPnFQ/BPe5gV2at\nlft6tuaHz59AP35daZntF4/Tzasna9bsYedOY+CcmnqRAQPcGDq0A8HBfVmyxI+uXV0r/DkWEGB8\n/5Yti6KgoARHRxtmzpxRWt7YRC5dajZyPCg1lcWTJ3OkZUsunzqFraMjzh06lAbJzh064Na/Pz0e\nfNC47e5OMzc3bDR/vsFb/P3h1Cmz89nInNE1dnsE0stvHijaZgIDzMs1mTGVOp7nb56r3KtXLz76\n6CMAkpOTmTx5Mi+88AKRkZEW99+5cycvv/wyhw4doqioiMLCQrTaitepSU9PZ9asWcyZM6dceVZW\nllkg/eGHH9K/f3+GDBlSWlYfM7hYInm11kP60jpc34+WP7GLhwlT8Xo89aarAYobi4zdaJYqMXBh\nfzaGb6xxIP3OB+/w25mDZiPdBRSQRRaZpqA5kwxssaMTnehIJ/ozgPa4Y4f5Cnc9Ww/gsyf+S+C6\nUaVlXz2ewN2d/8LceGPg/Fs2DHY3Bs7v+sGQDuBwg4jjp8T96A/bQ/afucz68835JOV78if0ZujQ\nDjzzzD307++GvX3VVjsMCPBttIHzNaqqcnb/fnKOHLE0Wx8tunShx9//zujx47Fv1qzK9U8KDWV5\namq5IH2PhwczZt5+N8rWttsjkK5EkKvf7w+YT2tk6OgPz9f+tEaenp5MmTKFiIgIAIu/TU+aNInQ\n0FBiYmKwt7dn9uzZnD9/vsL9O3fuTHh4OCEhITc9//fff09iYiLffvstADk5Oezdu5f9+/ezdKn5\nVEFCiFtDte/10BfA1XNQcI4W+bsgOcO4ffUcsSs+ZeEDWeV2XzjOQPjuTLyeliC6pvS2eovlJzTH\neY1XcMQRB9PfDjjShCamZ46m7WuvO5Yr/TFpB1uOf8ewJX8uJPyvsEVs5mtae7WiPe50pBODuItx\nBOKCS6Xam3jgAkftF3AuJBI7BwPFhRouuCzg5M9JzBwFix6AYZ3AsZIRxuXLhZw4cQmK+pvlMg8e\nVsinn46vXEW3GFVVOXvgAId0Og5//jklej2qxvIvCU3btaNpx47VCqKB0jzoqGXLKCkowMbRkRkz\nZ0p+dC24PQLpSqjraY2Sk5OJjo4mODiYDh06kJGRQVRUFMOGDQPAzc2NzMxMiouLsTOtcZ+fn0+L\nFi2wt7dn165dREZG4u/vD0CbNm2wsbEhNTWVnqY7bp999lnCw8MZMGAAffr0IS8vj9jYWIKCgsza\ns379egoLCwHjN/OECRMICgpqkOnvZATTekhfNiyLI8crDkP2U3jd3d0UGGeXBsjlnhsKoEkbcGzD\ngKZtIb2NcbtJW2wdLAfLGlXyK2sqjTQy9Zl0o4vZa90NHrxMGIUUUGD6u/wz458LXCgtv1r6eiFf\nxX6N95KR5eocvnAYv4cf5x2vd7GtZgiQU2hLUVdfTruXH+UdVrCD1+6vXB2qqvLTT5msXbuHTZuO\nYm9/xeJ+jo41m961sVFVleyDB0uDZ0NREX2Cgng0MpL2d99Nn2+/NcuRvjZyXNP/X30DAiRwrgMS\nSJvU9bRGzs7O7Ny5kyVLlpCbm4urqyvjxo3j7bffBsDHx4e+ffvSrl07NBoN2dnZfPjhh8yZM4cZ\nM2bg7e1NcHAwubnG5XSbNm1KWFgYw4cPp7i4mJiYGB555BHy8/OZOHEi6enpuLi44OfnZzGQdnEp\nP/Jgb29P8+bNcXZ2rpXrFULUv9iNi8zv9Xgg03ivR2t/aNoWHNtAcw9o0tYUKBuDZeybQwV5pnqn\nROCYWblBkfzK6iqmmK3E8RsH+KvfZL4M+6pcese+eQeYOSYUe9Of6vzPvN/2gMVyO41dtYLovAJ4\nNRH2n9Ib1x2+zvU3BlqSnf0Hn366n7Vr92IwqDz11CCOHn2e3bvvuqVuCqwKVVXJ/u230uBZX1BA\nn6Agxm/YgPs995T7hFlGjm899bKyYV2QlQ3rV12+r5JXaz2kLxvA5ZNw7D9wLIoFnx5iwYPFZrss\n2OfNgtUJla6yMjnSxk/s3r9tp4KriQwy+IL/0o72BDCOZjQjLimOqLhIDBoDGoOGEN9JNc6Pfnz+\nVDq9Yb6iYGb4Kda9/lGl6ylRYf0+CPsBxvaEUSTxytryi6d4/DqP92eMsbgSocFQQlzccdas2UN8\n/AkCAz156qm7GD68U7kgMjo67rqbAkMadW7zjaapU1WVc4cOlQbPxVeu0CcoiL5aLe6DB1frJn/5\n/7VhNejKhkIIIWrRlbOQ+l84FgUXj0L3CTB8Cfqti8DCJGI1HTm+FRciaYz06PmBePayh4cYy530\nK33N18u31mfomOT3GG+/+G/uXfLnTeXXRrora2cmzNwCGgW+DobBHQC8cHWEZVHhFJRocLQxMNNC\nEJ2WlstHH+3lo4/20a6dE08+OYi1ax+ucEnuuropsDbmZbZUp6Vp6vLS02mdnc0hnY6i/Hz6BAUR\nuH49HYYMkRmyrJSMSItKkfdViAZWmAvHvzAGz2d3QZcAuCMEOvmBxh6QkePG7BRZbOJ/tKIl43gE\nJ5zq5bzVHek+mw8vx0NMKvzLByb3v/FqgtcUFur58sujrF27lz17TvPYY/148sm76N/frRaupuos\nBbx7PTx4/v33qx1Mq6rKE/7+dI0z/6U1ycGBfzz3HH21WmPwbGNdOd63MxmRFkKIW03xFUjbbAye\ns76HDg9A76fgwS8tTjknI8eNjwEDiSTwCzsZw0P0Z0CVl8+uiaqOdBcZ4INdsGgHPD4Ajj4PzR3M\n94uOjmPp0kgKC1UcHBQefjiA3393YsOGgwwY4MZTT93F11+H4FjZqTvqyIZ33rE4L/N7Tz1FzrBh\nGIqKMBQVUVJcXPrcUPb59a+ZXj+hqhanqes4dCj+S5bUy7WJxkECadHgJO/LekhfVl6F09QZiiAj\nFlKiID0a3IZAzxDw+QgcXG9ab20sYS39WDvOcoZN/BcnnJnO8zSv5PRytakqfRmbCrNioIsLbJ8K\nnq0t7xcdHWd2Y2B8/DL+8pdx7Nz5FN27t6h5w6vIUFzMheRkzh44YHzs38/ZAwfIOHMGS5+lNm3R\ngvYPqhAAACAASURBVP6TJ6Oxt0djb4+NnV3pc02Z55bKbezsSHvoIYg1nzJX06TuFiWS78vGSQJp\nIYSoZxanqfvwNzjQDy+X3dCilzF4HrEEmjbMR+Ki+gwY2MF2fmQ7vvhzF3fX6yh0VR2/CC/GwsFs\neM8Pxt5R4QQuACxdGlkuiAYwGB4gN/dwjYLoyuYy/5GdzRlToJxtCpzPJyfj0rkzbv374zZgAPc8\n9xxu/ftz8OmnLQa8zp0703vChGq3VRY4EddIIC0anPyGbT2kLysnVrfUfJo6n1OEb3PCK+JXaG4+\np3B9kn6svnOcYxP/xQEHnuU5XKn/0dmybtSXfxTBv3bAit0wZxj859GbL6KSknKBn38+BRYSGwoK\nSqrdTku5zB/8/jsXjx/H09W1dIT57IEDGIqKaDdgAG3/n70zj4uq3P/4G4ZNFkFZBBRcEHHf92W0\nFDCx0rIxlxa93bJy6/a7dQu52S2y1RLzVm7lrTSnxUopBS1Ec19wX1hkUUA2QRBZZvn9MYDAnFG2\ngQGeN6/jnPOc5zznO+fxnPnMM9/n++3fH2+5nOGLFuHauzeWtvruTsYSvE0Rpk7cl6aJENICgUDQ\nmOTGYZF3SXKXzMGjyUW0oG5o0HCQA+xjL/czkaEMxxzTnGim1YLyPPwzEsZ6Q8xz0Knt3Y9RqTSs\nXHmQ99//C09PO27e1K9T1+QpJbdu8VVoqJ4v8+CEBNa99hoLHnqIDv37M3LpUjr0749Dx441joBh\nTMErEpwIQAhpgQkg/L5aDqIvDVB4HWK3wuVvIT8RlVpi9hamk+BE9GPtyCabbfyIGWY8ywLa41zr\nNsIjownbEkGxxgJrcxWLZwVIxmSuLSs++pSoc+kV7T74QAA/FMrJLYJvp8O4GnxvO3Uqnfnzf6V9\n+zYcPfp3zp8fxIvPhFCanoUlKkqxwNLdmUWL3jbYhkatJjcxkezLl8m+dKnKa2F2NhlmZvSQOK7j\n0KE8unlz3S8ALUfwivvSNBFCWiAQCIxBSQFc+VknntMPQpcHYfib4DWJAO9dBEuGqRP+laZOZHQk\nmyO+RWOhwUxlztCAwRTI85EzgZGMqtModHhkNEvWVE1wEr8mGKBeYjo8MppPIxJIHXMnisTuNcE8\np4DVC+TI7mFqcbGKt9+O5osvjvPuu5OYN28gZmZmxJ0vwZdkxpJWUXc/hVhqi7mVkUH25ctklYnk\nnLL13CtXsOvQAecePXD288OlVy96TpuGc48eOHp7E/fAA5K+zOY2pvHlUiAwhBDSjcj+/ft55ZVX\nOH/+PDKZjF69evHJJ58wdOhQvvrqKzZs2MC+fftq1FZiYiLdunVDpVJhXsc4lebm5tja2lb8RDZr\n1izWrl1bp7bqg/iG3XJo9X2pLoWUSLj8DST9Bh5jwO8JmPwDWNpVVDP1MHWtvh8NEBkdyepdYVVS\nef8Q/CMLWcRo+Zg6txu2JaKKiAaIHxzKf74Mwc5Xjkarc8fQSC1gcP+KtRFkuUzE83+BWKqKKbWw\nJmvEYhKORSIzv7tAP3gwhb/97Vf8/FyIiVmAp6cuSXlpYSGb3n2XselpVeqPTU9jxfTpTHZwwMXP\nr0Iw95szB2c/P9p3747lXSJaiMl790bcl6aJENKNxM2bN5k6dSpffPEFCoWC4uJi9u3bh7W19E+8\nNaW+CXXOnDlD165d69WGQNCq0Wrh+mGdeI5TgmN36DEHxq2CNq4GD2uIMHWCxuXriP9VEdEA8tCx\n/BYSzgz5jDq3e1st/VF8MUfG8r1ghi4ZSm0WMzO4npiAb/x3PHbjjjj9PieezEHDq5xHq9VSkp9P\nfloamQnJbAzbw+m/zvPCBGc8bEuInPsFBWlp5KeloSoqIh3wlbC30/DhvLJ/f50y+DXF5D2BoCEQ\nQroSxkgjWs7ly5cxMzNj5syZANjY2ODvrwuSf+HCBZ5//nlKS0txcHDA0tKSnJwcwsPDWbZsGQkJ\nCTg6OvK3v/2NN954AwC5XDea4OSkiyu7e/duRowYwcaNG/nwww9JT09n+PDhrF27Fm9vb4N2aTR1\nn2XdUAi/r5ZDU/alwbjMxmr3xiWd28blzWBuoRPPjx4ER58GeDdNS2u/JwsoIJMMMsmo+Mskg2SL\nZLqg/zxVy9R1PteFTIhJU4HEf5tRnmp2PlXnpum/6BCP3rhSpeyxG/H8fjiLH2bOJD8trUIgo9Ui\nc3IlKVuGnbsHz88egGu3zth7eODg4VHxatOuHfGTJ0u6YVg6ONQrDXZL8WU2Fq39vjRVhJAuQyr0\nzpqy9Ya4sf38/JDJZDz99NM8/vjjjBgxgnbtdGGRevXqxeeff8769euruHbY29vzzTff0KdPH86c\nOYO/vz8DBw7k4YcfZt++fXTt2pW8vLwK145ffvmFFStWsGPHDnx9fVmxYgWzZs3ir7/+MmiXXC5H\no9EwevRoVq5cSefOImKAoPkhGZd5rW69PmJast1Pj8M+J+RdCsH3cQjcCq6D7x54V9DovP/eW3z/\nxefINCrU5hY89twCXnk1pGK/Fm2FYM6oJJozyUCDBjc64IorrrjRk9644coF1WXJc8nUslrbp9XC\np0fhzb3wxPQAdu0KruLe4XP8dRYtnFzrdotyc7l6+DBXDx7E9WamZB1HB1v8pk2rEMjqNu14ffkB\ndu9J5PNtQTzwgNR48x2EG4ZAcAchpMvYHBYmmUZ0y+rVDSKkHRwc2L9/P++99x5///vfSU9PZ8qU\nKaxbtw43NzdJF43x48dXrPfr14/HH3+cvXv38vDDD0vW//zzz3nttdfw8/MD4LXXXuOdd94hJSUF\nLy8vvfrR0dGMHDmSW7dusWzZMqZOnUpMTAwyWe0/FOqD+IbdcmiqvpSMyzw+npCNryB3TwaNGrQa\nQKN7rb4YKI9Yu4XQ8YlV2/XPJuRIV+RvXALzxr1XGovG7MfKk/fMVebMDphTq5TWUrz/3lv8+O67\nTM0trCj74d0VXOUqk159oEIwA7jRATfccMWN3vTFDVfscZBMoDInYA6rg6v6SMe8fppFkxfXyr7U\nfJj3C+QWwYH50MNZTnh3WL0lhCKNDBtzNYsWTr7nREOtRkPWxYukHDzI1bIlNykJz6FD6TRqFC7d\nu0NMjN5xHQf0p9+sWQD8/PNFXnzxG6ZP78nZs8/j4HBvd0PhhtE0iM9K06RVCOk3azBSdAWp8PKQ\nsGtXjY5/owa+yj179uTLL78E4NKlS8ydO5elS5ey2UBon8OHD/Ovf/2Lc+fOUVJSQnFxMQqFwmD7\nSUlJLFmyhJdffrlK+bVr1ySF9NixYwFwdHRk1apVODo6cvHiRfr06XPP9yIQmAR5CZASiUX2Ccnd\nspIcyDoNZubVFtmddartM7eoKLcwl773ZVZ2LVZENyZSk/dWB4dRxG3GycdRWvZXUulf3VqJxJ6y\nfzXFbFn9IdMqiWiAoNzb7Fi5han3j2B054F4ufbC3sy+VhkH/eX+nDx4iB98PsdcrUIjs2DGswtq\nJfx/OA8v/g4vDIXXx4Jl2X8jq5J8PK4dqXAttCoZqXdsUV4e1w4frhDO1w4fxqZdO7xGjaLTqFEM\nff55OvTvj8zSEgDt2LF6v7SWjxxfv17AokW/c+rUdb777lHG1SQOXuVrIdwwBAKglQjpmojcxMBA\nSZ+vboGBvLFzZ4Pb5Ofnx1NPPVURJUPKr2z27NksXryYXbt2YWVlxUsvvURWVpbB+t7e3oSEhDCr\nbKShNpSPcNd38mJdEH5fLQej92VxLlz7E5IjdNExSgvAyx+VtTuQpVdd3X4ATPiszqdTtd2L7mt2\ntXZNJN6zsWise3JzxLd6k/cGhvbno5APuSy/iCVWWFb6s6r0b+UtEnK5vSeG3D3HyfrjGA45BZLn\ns8kv5spznxKTnEzprVs4envrls6dq7w6de5M206dkFlZVTk+MjycA+s2EZSQWlF2YN0mIvsOvqeo\nzCuCxTvh4FX4dSaM6FS1Xb2sfvHx5CUn42NtXSGccxMT8Rg8WCeaFyxg2qZN2HcwnELePyiI06dP\nc27v3oqR4xcXLiQ9pxNz+3/OvHkD2bRpGm3aWN7VdoFpID4rTZNWIaRrgrF9vi5dukR4eDgzZ86k\nY8eOpKSksGXLFkaNGgVAhw4duHr1KqWlpViWjSYUFBTQrl07rKysOHLkCJs3byYwMBAAV1dXzM3N\niY+Px9dX58+2YMECQkJCGDBgAL179yYvL4+IiAgee+wxPXvOnz9PSUkJ/fr14/bt2wQHB9OpUyd6\n9erVIO9XIGgQ1KW6iBgpkXA1ErLPgPto8PKHvs+Dcz8wMyPALNwocZkDFIsJXhsv4j0bAS1a8ixy\n8aKj3r7Osi68zCsGj72VkcGVP/4gYc8ezu/ZQ2lhId0mTmRI4ON0e38dP04YBVdS9Y4r9nDhuRO6\nXy9KCgrIS0khLymJvORkcpOSuLJ7N7ll2/mpqdi5ulYR2J9t3y7pArjpnXfo7+WFVqPRLVotWo0G\nyl5Ppmp4O1rLcA8Nvw7VYhOn4crlO/U2vPGGfla/+Hg++8c/eGH6dJ1wfu45OgwYUDHaXFNKsOKa\n1oNitGgK1by+/AAqlTe//TabIUM8a9WWQCDQp9GEtEKhmAx8AsiA9Uql8r1q+/8PmFPJrl6Ai1Kp\nzG0M+4zt8+Xg4MDhw4dZuXIlubm5ODk58eCDD/LBBx8AMHHiRPr06YO7uzsymYyMjAz++9//8vLL\nL7Nw4ULGjx/PzJkzyc3VXQ5bW1uCg4MZM2YMpaWl7Nq1i2nTplFQUMDjjz9OUlISjo6OBAQESArp\n69ev8/zzz3P16lXs7OwYM2YMO3bsaHT/aBB+Xy2JmvTlXaNraLWQF6sTzskRkLoX2nYFrwAY/h/w\nGAsW+qPBxorLbOrxno2Fse/JfPL5mZ+4qZLIM43+5L3i/HySoqO5smcPCbt3k5ecTGe5nK4TJzJy\n6VJce/eu8ivdY88t4Md332VKJfeOcCdbZjy7oGLbyt4e1169cDUweKBRqchPSyMvOblCbJfm5UnW\nvR4Tw09z52Jmbo6ZmRlm5ua6yadm5lwtMCPrtjmPtTenva0ZB8Pv1Cmvl1tNRJfjNWJEvbL6hYdH\nsmHDPuLjB1WUtW9/gI0b5UJEN0PEZ6VpYtYYP+UrFAoZcAmYBFwDjgKzlErlBQP1pwJLlUrlJENt\n7tmzRztx4kS98oSEBLp169YgdgvuIK6roCGQjIIR1YXABxXIvXJ04lmr1o04ewVAp4lg69aEFgsa\nmvOcYwe/MoRhlEarCP00BPKyMS9WobG2gLbOLFvwJj0t7UnYs4cre/aQHhNDx2HD6DpxIt0mTcJz\n6FDMLe4+DvT+e2/xw9qqvsyVo3bUhXmBgXSRcAFMCgxkYzUXwHMZMGcbdHaEdQ+Cm53eYXVqtyZo\ntVpSU/OZOvUZYmL057wEBiaxc+fGWrcrELRm9uzZw8SJE/X8ahtrRHo4EKdUKhMBFArFd8DDgKSQ\nBmYDWxrHNEFTI/y+Wg736kvJ6BoTEgnZthH58mUw4CVo10uEkmtipPqxvnH2iyjid8JJIpHHmYM3\n3kTmh9Pmr2uMSb2TJe9P61R+2PEow/r0oevEiYz/97/xHjsWS1vbWr2HV14Nqbdwrk5NXAA1Wgg7\nDKH74d2JMH/gvf8719e18Pr1Ao4dSy1b0jh2LBWVSoNanS9Zv6io6fMHCGqP+Kw0TRpLSHcEUipt\nXwVGSFVUKBS2QCDwQiPYJRAIGgOtFrJisMiV/u4sc+kDA5Y0slGCmlKXOPslt25RmJnJrYwMEjLO\ncCAzgvYZ1vTIaM/xzGVEZ2Sw6cABxuZXFXv3FRdz5f77eXbPHuO9oTpyLxfAqzfh6V+gsBQOzQef\n9jVv9+jRE3z36eeYq9RoLGQ8PvcpyWubnV3I8eNpHD16rUI0FxSUMHSoJ0OHejBv3kDWrJmCl1db\nJk8+LzWHHhsb8zpfA4FAUJXGEtK18R95ENhfE9/oyt/OoqKiAO6axU9Qd3JzcyWvd0NsT5gwoUHb\nE9smtN3PBeK2Unj6K8y0KlRIR7vIvFFotP9frW07MjycNcuXQ2kp7Tp0YPbixVja2dWqvfKy8u1P\nly9nsMQku8/+8Q+Ijib+9GlKc3OxUaspzMzkZno6aDTYu7ujdrXmlosWJ+uOdO4xDDt3N1IsbWjT\nuzcumZlwQj90YW52tsn+f/APCpK8nn9kuPJFSh8WDYNR6r2knNbiU8P2V6z4iDXr9pOa/WzFNche\ntx+fXuG4uvZm69Z9XLpUQHJyKdnZt+nWzQY/Pwcef3wEH37oT3LyKczMzKq0n5AAixfPJj5+TRUf\naR+fE4wfLzfZ6yu2xbapbhuisXykRwLLlUrl5LLt1wBN9QmHZfu2AVuVSuV3d2tT+Eg3LuK61h9j\npbA2OW5cgritELsVSm+CjwJ8Z4LbMKL3/KbnI62LgrGqZV6Lu1BfVwlDbVYfOT7p48OLq1bhHxSE\nuqSE2zduUHTjBrdzcrhd/pqTU1FWfV/RjRvsyMjgPonzHe/YkVcWLsTW1RU7Nzfsyl/d3MixK+An\ns+9xwomHmI499nrHN7RvcFOQWwQv/gbH0+Cb6TC0DnP4AgPnERHRRa/c3PxPRo9+iqFDPcpGnD3x\n9XXG3EB8cynCwyNZvXoLRUUabGzMWbRoFkFB9Ut4IxC0RpraR/oY4KtQKLoAqcBMQC/YsUKhcATk\n6HykBa2EyiMjLRVjpbA2GfISIG4rBTEbsDe/Bd0VcN86cB9ZltxER2uNglGd2rhKaLVaVEVFlOTn\nU1JQQHHZa0lBgV7Zp+vWMfhK1bjXg+LjeffRRzlqYYG6uBibdu1o064dbdq31623b1+x3s7Hhzbt\n2hF37Rpj5fKKfefmzoXdu/Xeh0vfvoz917+qlGnQcIiDRBOFP4EMZojBpCfNMdV0eGQ0YVsiKNZY\ncKtIRZJrAIopck48C7Z1DMeck1MsWT52bGf27p1XD2vBzs5STCxsIbSGz8rmSKMIaaVSqVIoFAuB\nXejC321QKpUXFArFc2X7vyirOg3YpVQqb9f1XFqtFq1WK5mwRFA3NGVxUQV1x2AKa+Xq5isi85Mh\nTqkbfc5Pgm6PEue+kIEPLLpr1j/5pKDm+54biM1hYZLxiD964gkSfXzuiOWyV3NLS6wdHLCyt8eq\n/NXevqLMsmzdzMB96jFwIC9HRGDl4FCjZ+ONqCi8x4yp2J69dClrrly5p+DNI5ef+BEVKp5lAe1x\nvut5mluq6fDIaJas2UX84NCKMo/DwTxgAbaWd0/nLUVaWj5vvBHFqVNpgJ/e/jZtRPZMgcDUaRTX\nDmNgyLUjNzeXwsJCPD1FjMyGQKPREBsbS+fOnbGxadnZ3IzJ8mfGs3xQtH754f4s33SyyqitqSDp\nijJqEMR9rxPPuZeh23Td6HPH+3SptQV3JevSJS5u28Z/QkMZU6Cffe98//6sXLeuQixbOzhgaWdX\n4yQcxnSViAwPryJ4Z1UTvKc5xe+EM5LRjEOOOU37f7ryyLG1uYrFswII8q+52C1WQcpNSMqFpDzd\nsv6DZaSOeFuvbmBiCDs3vlXjtgsKSvjwwwOsXn2E+fMHMnRoKcHB6/R8mVetWijcMAQCE6GpXTsa\nDScnJwoLC4mPjxej0g2AVqsVIrq+ZBxHlXFKcpf6RgJ80x16Pq1bHExjsqykK8rH0bBLhnzyDBga\nAp0mgcx0Ugsbw+e4vmi1WtJjYrjw009c/Oknbt+4Qc/p02nv5wfHj+vVt/PwoOPw4XU+nzFdJfyD\ngiSvZyGFhLOddNJ4gqfwlMhU2NhIjRzHrwkGqBDTBSV3RHJiJbFcXpZ9GzwddHGgyxf7NtIfmUWa\nmo0cq1QaNmw4wZtv7uW++7py/PizdOniBIC9vVU1X2YhogWC5kCLE9KAGI1uZrRYv6/C63AoGJLC\nCZj2JME7f9OfZLf4ExjoCRc2wtZB4DYEes2HrtMkM/g1CupSIv73pr4rypQiQk75I5/4lcFDm6ov\n6xKezVho1GquHjyoE8/btmFmbk6vRx/loQ0b6Dh8OGbm5lhJ2NsQgrehXCVq2o/xxLGNn+hNbxbw\nIpaYxhersC0RVUQ0QPzgUOZ/HELHK3KS8uB2KXiXi2Qn6OIID/a4I5o9HUBWbVD98NcqLkucz8Zc\nfVd7tFotO3Zc5tVXd+Pubs/27bP0MgsGBfkbRTi32OdrK0T0pWnSIoW0QNCkqEvg9Go4sQL8noLZ\nF5FbO4J3oOFJdq6DYfSHcOVnnaiOXgi+j+tEtcsg4yYo0WohLw5SInSpua9FYZGnkqwq05YYz446\noFGpyE1KYsO//y3pc7wpNBS5XI61g4NR7VCXlJAYFaUTzz//jJ2bG70eeYTHf/kFt3799H4dM6pv\nsIMV2qHuaC00aFXm4GBV/zaByOhINkd8i8ZCAyozegb0wFJuyTQeoTvdG+QcDUFyHsTesIAu+vtc\n7GR8EaQTzq62tb+tFs8KIH5NcBWR7nP8dRYtnGzwmKNHr/HPf0aSmVnIBx/4M2WKr/i1VCBoQQgh\nLWhyWtQ37KTfYf9L0LYrPLIf2vWs2HXPSXYWNjrx7Ps43EyCS5vg90fBylEnqP3mgM3dJ2/VmKIb\ncHWPTjinRICmRJeSu/tMmLAW1dEnAH1fW7XZ3UfJa9KXtXXB0KhU5CYmkhMXR3ZsLDlxcdwoW89L\nTsbe3Z3cvDzJY6+fOsVH7u5YOTjQvnt3ycXGyalO9pYWFhK3axcXt23j8o4duPj50fORR5i/fz/t\nu99bWBpylagPkdGRrN4VxsDQ/hVlq4PDdOeT13y0s3o/SrUbGbybf/APusubXkRn3oIfLsDmM3A+\nC9qUSn8R9HJQM6weniflbiGrt4RQpJFhY65m0cLJkr7XV67c4PXX/yA6Ook335zA008PxMKi8f3G\nW9TztZUj+tI0aXGTDQWCJiE3Viegcy/B2I+hc1DDjCJrNXAtSjdKnbhDJ3Z7zQcv/4rIGDWKT60u\nheuH7ow655wHj7HgHaBrs1pa7ujd4axb/gwW2eloVWBmAaXO7jy7fH29Im4YinO84KOPGNa7Nzlx\nceSUieXy9byUFBw8PHTC19f3jgj29aVd165Y2NjcdZLdht9+Iz8t7U6bZUK8fF1mbW1QZO8/dIj/\nLl1axd5Dbm4M8/HB9tw5PIcNo+f06fScNo22HZveN/jpZU/h/XYnvfJTIWdY8tZiNGjv8ie9V4OG\ndcs2MOztwXrtXg1JZeNbXzbGW9Mjvxh+vgRbzsJfKTClO8zuC4HdIfIPfR9pn+Ovs8qA6G1IcnJu\nExoazVdfnWLJkhG8/PIo7Owa5lcBgUDQdLSayYaC5kez9vsquQnH3tYJ3UGvwAM/gsxasmqdJsOZ\nmUOn+3VLcS7EfgdH/g1/PgM9nyI6vQu7Nr+nH59aq0U+rAcklwnn1Chw7K4TzSNXgMdog3YCFBdD\nRgKMTrtTdsBDV343yvtSo1ZTkp9PUW6ubsnLoyg3ly+WLZN0wVgxfTqPdOlSRSx38/fH2dcXp65d\nsbA2bCvcfZKdmbk5bTt2pG3HjnQZP77KcVqtllsZGVVEdmx4eMXo986CAu5TV/V/HZmRwVk3NzYl\nJGDr3EC/ENSBYopJI410UkkjjTRSuWJxBW/0hbRWpsUMMywwxwwzzCpe7/xVLom9FIefn1/Ftq1F\nG0kb1LK7+wY3NMUq+D1OJ553xoPcG+b2A+UMsK+kVWszctxQFBWp+PTTI7z33l/MmNGLc+dewN1d\nPwlNY9Osn6+CKoi+NE2EkBYI6oJWAxc36SYTegfC42fBzt1g9QaZDGftBH0X6Jbss3DhSyLWvkho\nUGmVaqHj4wlZ9Rjyx1ygkz/0mAX3r4c2rjV+e5vDwhidll6lbHRaOl+88gq2589TlJtLcZk4Ln8t\nyssj7/p1DhUVUVJQgJW9PTZOTlg7OmLj5ISNoyO3MzIkz9dl7FiWROuHB6wpdfU5NjMzw75DB+w7\ndKgSNxl0Ivvc2LFw4IDecXbOzvUW0ZV9js1V5swOmGPQ/aKAggqxnF72epObuNEBDzzohBfDGM5h\n1THJ413ULtxHzX/BK0wrYqjfsIrttqq2kvVkauPHOVZrICoRNp+FbRehfweY1Rf+OwWcbQ0fF+Qv\nN4pwDg+PJCxsM8XFWqytzVi4cBb5+R4EB/9B//4diI5+ml69an6vCQSC5o0Q0oImp9l9w04/BPsW\n60aLp/wMHe4drsxQAo4tq1fXzU/WuS+M/QgLz6PAPr3dMpe+8OSROrmXFKSnczMxUXJfUU4Ot65f\nx8bJCXt39wqBXF0wWzk4YC7TF1kRgYEg4YIhs72LIqohDe1zbGZmhoW99IiieT3DQRryZdaiZZh8\naIVoLn8tpRQPPPHAAz96MoH7cMYFGVWv8dyAuawOrtpuzOunWTR5ca3sq35Pzg6Y0yDtSiEV73nK\nJDlHU3Xiees5XQSN2X3hzQnQSVrTNwrh4ZEsWbKmSrznqKgVdO48hE2bFiGXd2464wzQ7J6vAoOI\nvjRNhJAWCGrKrVQ4+C/dJL2RK8Bvbo0SqZQWFpKflCS57/qJE5xYv55ukybh1KVLrU1SmRv4yd3K\nucYiWqvVcv3UKS5t387l7dvJiY3ltgFXCrcBAwj48MNa21lOc0sJbSx7N0d8W0WUAgwM7c87IW8T\nJJ9SIZoHMwQPpuJEO4NptitTPqK9JWQzapkamVrGosmLazXRsDHblYr3fPTDYKy3Q1s/ObP6QNST\n4OdSr9M0GGFhm6uIaICSkgl065ZkkiJaIBAYHyGkBU2Oqfl96U3ee3QBcpdLEPMh9H4GZl8Eq7uH\nU9NqtVw7coSTGzdy/vvvKTCXFty2bm5c+eMP/ggOxsrBgW6TJtFt0iS63HdfjVwHAhSLCV4brx+f\n+tm7C73S27dJ/PNPLm3fTuyOHcisrenx4INMevddvMeOZXBkZJ3iHN+rL5tbSuiGtreUUhJJJ31H\nsgAAIABJREFUJNMiEy+JxCWdZF78k3/Vz2a5f70FrlQ/NkS71ZGK93xjTCijLoXw1wtyo0Z9rA0a\njZajR69x4UIOUnH1ioo0jW5TTTG156ug7oi+NE2EkBYIKiGZ0e+TP0A+GPnzh8Dp7qG+bmVkcOrr\nr4nZuBFVcTGD5s/n+dOnGXzqlLQwfe89/IOC0Gq1ZJw9S8Lu3cR8+SW/zJ+Ps68vXcuEtffYsVi2\n0R99Lo+gYTA+dSXy09K4vGMHsTt2kBgVhfvAgfhOncoTkZE4+/lViW1rTMFrjLBvxqS+9maTRSyX\niSWWZJLogDsylbRvsZW69UR30GohJV/6I8jKUtbkIrqkRE1UVCI//3yRX365hKOjNRYGPjFtbJo2\nHbpAIGg6hJAWNDmm9A07Qhmmn9FvqoqQU+2QGxDRGpWKuJ07OblhA1f+/JOe06YR9NlneI8bVyFO\n/TvpIikYEqZmZmZ06NePDv36Meqll1CXlHD18GESdu9m7/LlpJ86RacRIyqEtcfgwRU+yMXFcDVJ\ni7YYzKy1FZE1tFot6SdPVow658TH0z0wkN4KBQ9/+SVt2re/67Woi4A0pb5sKkoo4QoJxHKZOGIp\npRRfejCYIcxAQRva0Dmgq9F8jhsCY/fjviT4v0i4aiDxz70yBRqLgoISdu6MY9u2i/z+eyx+fi5M\nm+bHH388iZ+fC+HhPfR8pH18TrBo0cImsbcmiHuy5SD60jQRQlogqIRFSY5kuUxbpFeWdekSMV9+\nyan//Q+nLl0YNH8+0zZtwrqt9Gyo2ghTmZUVnceNo/O4cdz35psU37xJUnQ0Cbt388u8eeSnptJl\nwgSy3d35PTycocnJFcd+fPo0hwcMwPbMGSzt7Ojx4IP4f/ABXmPGILM0jRTOzYl7RdfQoiWLTC6X\nCecUkvGkI7704HHm0IEOev7NxvI5NnUuZsGru+HUdXjnfnDwDuCl/9YuU2BDk5Fxi+3bL/Hzz5fY\nuzeR0aO9mDatJx984I+nZ1UXrvIU3qtXb6GoSIONjTmLFi00SmpvgUDQPBBCWtDkmITfV24cHF2O\nKuMUkWdhcxQViUhmT7iT0a84P5/z33/PyY0byYmLY8CTT/Lknj249uplVPOs27alx9Sp9Jg6FYD8\n1FSu/PEHr736KsNTU6vUHZGezom2bVn355849+hhVLuqYxJ92YAYiq5RQgnd5F0rRp21aPGlB8MZ\nwUxmYcO9o3oYw+e4oWjofkwvgOV74acL8OoY2DoDbCyAfnLMzYwT77l6mLrFi2dXCN4rV26wbdtF\nfv75IqdPXycgwIfZs/vy9dfTcXK6e98FBfk3K+Hc0u7J1ozoS9NECGlB6yY/WZdQJeEn6L8Y5xEv\n8Z8PVjLp1p2fnN9MsSBwlge/zJ/PxW3b6Dx+PGNeeYXuDzzQZCO8Dp6e9J87F9f166GakAZo6+HR\n6CK6JWIousb7Ie8yTz4PX3owktG44lqjqBqtjYIS+OggrD4C8wbCxRehfTVXf2PEe5YKU3f+/CrG\njTvNuXN2pKcX8NBDPXj11TFMnNgNGxvxUSgQCOqGeHoImpz6fMOuU7ZAgFvpcGIFXPoa+jwHcy6D\nTXtOLwusIqIB/G+p2LvleyYuX87Ed97B3t1w4pXGxsxAmLr6xjmuK819tESLlgLyuU4GGVwnwyJD\nMrqGt6wLTzO/CSxsHOrbjyoNbDgJb+6F+7vCsb9DF6eGsa0mSIWpu3p1GAcO7OWbbz5l1KhOyGSt\nY4Jgc78nBXcQfWmaCCEtaLbUNFugRq3mdk4Ot7OzKUxN4PaxDRRe2MntNoMptJ1D4eEsbmc/w+3s\nbK4eOyYR3Ao6DhnC6P/7PyO/o9rT3OIyG5PaZAoEKKSQ61wnk+tcL5POGVzHDDPc6IAbblirpL+o\nWKrFo1MKrRa2X4ZX94CnPWx/HIZ4Nq4NmZm3iIvLldzXpUt7xo71blyDBAJBi0Z8GgiqUOcR3npQ\nF78vjVrN/957TzJb4MqnnybJx0cnnLOyKM7Px8axLW3szLC1vEkbN09suz5Am/adsW3vjJOvLt1z\nG2dnIoOD4eBBvfPJJELPmQKmFpe5qXz4DPkyA4yTj6sQyXder1NKaYVg7kAH+tAXNzpgh12Fm4Z1\nQBuTjq5hLOrSj0euwT8jIacIVvrD5O51SqxZJzQaLZGR8axff5LIyHjs7Eok67XGMHXCr7blIPrS\nNBFCWlBBTUd469p2bQW6Rq3m5tWr5MTGkh0bS05cHDllr7lXrpCq0SAVkM6hQwcCV67E1sWFNm1t\nsEnZjPmZleA9GYa9AY4+Bs/5dHBwnRKRNCXNLS6zMTCcKTCU++UTcC0Ty6644YsvbnSgLW3v6dfc\nWqNr1Ib4HHj9D/grBf4zAZ4aAI3lNZGSkseXX8awceNJnJ1teeaZQaxf/yD79w9pdmHqBAJB80QI\naQEA6tJSgyO8m955h6G9emHl4IC1gwMya+sqyTvuxd0E+sTJkxnYtSsJu3dLiuU2zs60796d9r6+\nOPv64j1mDO19fWnXrRtxjzwCERF657Pv1AmvEUPg3Fr4awV4jIFpUdC+9z1tNbUR3uZGU4yWaNBw\ny+KW5D4PmSfB/Btz6q7sTDm6hrGQ6sfwyGjCtkRQrLHA2lzFU48EcMRSzjen4aWR8OXDYNsIc29L\nS9Xs2HGZdetOcOjQVWbN6stPP81k8GCPijoiTN0dxAhmy0H0pWkihHQzpTYjvFqtlsLMTPJSUshL\nTuZm5dey9VsZGaSamUmO8F6PiWHT/fdTkp9PSUEBWo0GK3v7CmFdZV1i+4t16yQF+nszZ3JEra4i\nltt3715FLFvZ2Rm8BrMXL+bDM6cZnZZeUfaXhzv/fKgHfNMDnPvB1HBwHWSwDSnECG/z4Ba3iOEk\nxzhCtipbso6N2rpeIlqgIzwymiVrdlWJ97z7g2AmT4bzi+W4Gb5NG4zLl7PZsOEEmzadokcPZ555\nZjA//KDA1oB6b25h6gQCQfNECOlmiNQI76oLF0h95hn6enhUFcrJydy8ehVLW1scvb1p6+VV8eox\nZAiOXl609fLCwdOThKlTJUd4vcaNY+nOnRXb6pISivPzK4R1+Xpx2XbFen4+tzIyKMrKknwfbj17\n8s+9ezlw9GidvmlbW4NbN0hyAk0pmFtChzYZWGfvhUe+A/dRtW5TUD+M7cOnRUsySRzlCJe5RE96\nMZ0Z9Aroy6fBq1udL7OxqN6PYZsjqohoAM3EUNSxIbjZNWzousrcvl3Kjz9eYP36E1y4kMVTTw1g\n796n8fNzMdo5WxrCr7blIPrSNBFCuoymmGRXG9SlpdyIjyfz/HnWvPqq3gjvsJQUtoSF8fzDD+Po\n5UVnufyOaO7U6a4ju+XUNAKEzMoKW2fdBL2aoLx0SVKg27i41MguQ0Rs/YSvZ6VXK9UQcsoDuRDR\nLYoiijjFSY5yBA0ahjKcKUzFFlsAvOXemGEmfJkbkKs3Yc8V2J0AfyZbQFf9OkUaWb3PI5U4pVOn\nfqxff4ItW84ybFhHFi0azoMP+mFlVf/zCQQCQUMihDSmNclOVVxM9uXLZJ4/T+b582SdP0/mhQvc\niI+nbadOuPbujba4WPJY9759eXjDhjrbaiz/YIMuGGUC3eA3bHUpFCTDzUTIvwI3r1RZt0i9DgP1\nD5NK5y1oHBpytESLllSucZQjnOcc3fEliAfpQlfJSYKt0Ze5IckrgqgknXDefWUCGUdhYleY1BUS\nPVXslzjGxlxdr3NKJU7Zu/cdHBx6s3DhY5w48Rze3o71OkdrR4xgthxEX5omjSakFQrFZOATQAas\nVyqV70nUmQB8DFgCWUqlckJj2LY5LEzSh3fL6tX1EpF3E+jjJ0wg6+JFnVi+cKFCOOclJ9OuWzdc\ne/fGtXdvej7yCON698a5Rw8sy0Kw7QoMhJQUvfM1RBIOY/gHS7pgtAdrKzXkp5QJ40SdUK68XpgO\ndh7g0AXadtUtnSdXbKsO/A3QH+kuT+ctaJ4UU8wZTnOUI9zmNkMZxmJewh77pjatRVGsgkNXYXfZ\nqPPZTBjVSSecv50OA93BvOz7SscnA1iyJriKe4fP8ddZtHByvWyQSpxSXDyB8eOTeOONCfVqWyAQ\nCBqDRhHSCoVCBnwKTAKuAUcVCsWvSqXyQqU6TsAaIFCpVF5VKBSN5gRnaIT3SkQEH7i6YtGmDZa2\ntrql0np5uaH9aw0I9HdnzOCImRnOvr649u6NS+/e9H/iCVx79aJ99+7IrKzuam9zS8IR8d1KCReM\ndEJWTkOucCdP2x7HTgN0QtljHPg9qRPL9l4gMxwGIGDmYoLXxhM6/s51eH2vD5OfNc3r0BqoiQ+f\nocQp6aRzjCOc4TRd6MIkAvDBR0wWrCXVo2ssnhVAkL8cjRbOXL8jnP9KgZ4uOuEcej+M9oLyTNlR\nUVGYe0yoaLM8hffqLSEUaWTYmKtZtHBynVN7q9Uatm+/zOHDaSCRAqm4WFOndgX6CL/aloPoS9Ok\nsUakhwNxSqUyEUChUHwHPAxcqFRnNvCjUqm8CqBUKqVnqBkBQ2mWO0+cyAubN1NaWIjq9m1KCwt1\nS9m6VNntGzfIT02ltLCQwvTq4lGHe//+vHbgAOayuvn7mXSIttJbkHkSMo/B9aOQcRSLtHiQCJwh\n6zgG5u3jZB0fDvJJuvcbolyNTFuE2syGyc8uqigXmB5SiVM+DP6QXfyOu7wDQxjKCyzCEfFzfl2Q\niq5xcmUwvf6CC/ZynGxgUjf4+2D49hFoX4s8Q0H+8joL53Jyc4vYuPEkn356hA4d7PH2duDMGf16\nrTFxikAgaJ40lpDuCFT2RbgKjKhWxxewVCgUfwIOwCqlUvl1YxjX18WFcGtrxlcamT7h48PCpUux\nc3Wtc7vbAgMlJ9lZt2tXZxFdjkmEaFOXQPYZyDh6Z8mLg/Z9wG0YeE2CIa+h2vsPIFL/cHPdRMP6\nfMOWTwoSwtmEuFdfSiVOGRE6lIshl3lP/gEyxGSyulKihre/1I+ukTkqFLczIRxdJ6ezU83aauhR\nr0uXsggLO8yWLWd54AFfvvtuBsOHdyQ83FskTjEyYgSz5SD60jRpLCGtrUEdS2AwMBGwBQ4qFIpD\nSqUy1piGnfv+e2T797N03Tp+/vbbBp9k15xcMACid4cToQzDQluMysyaAMVinVDVqOHGxaqiOecc\ntO2mE80dhkHf53Wxm2VVR/gDZi4heG2CcMEQoLGQ/sm+jayNENG1QKWB85lwLBWOpsKxNDiXAWZZ\n0o90FztZjUV0Q6HRaImIiGfVqsOcOJHGs88O5uzZF/D0dKioIxKnCASC5k5jCelrgFelbS90o9KV\nSUE3wfA2cFuhUEQDAwCDQrqyv1BUVBRArbbzL1/mYnAwcyMiuJSXx5P/+leV/fVt39LOjhdXrWLL\n6tXkpKeDlRUL33gD/6CgOrVn7O2zJw+SdnBDFcEbHHYYDnZitMsVSizaYdtZDm7DOFnQk3zn7sjv\nf+BOe1kFTJhgrde+fFIQp8+c5sU/t+Hazha1mQ2eo8ajsbCrUrep37/Yrv92eZnUfo2ZhmxVNp2r\nPAp05GXm1ft+a27bB4+fJepcOsUaC27lZvDIuN689vJCvfoaLXzz+xEu5TtQ4NiLY6lwIlWNq3Ux\n47vbMtQT+qhO0L1rAR/HqSSm30Jhbmatru8nn3zCwIED6/T+CgpKWLbse3766Rrt27dlyZIRvPSS\nB1ZW5hUiunL9oCB/7OwsjX69W+t29Xuzqe0R28Z5vortxrn+UphptTUZLK4fCoXCAriEbrQ5FTgC\nzKo22bAnugmJgYA1cBiYqVQqz0u1uWfPHu3EiRPrbFN+WhrrR4wgcOVKes+YUed2WgRaDeScZ9mL\nj/H2uIt6u0OODOWtLyLApp1RTh9V6QNe0Lwx1JeZZPI9W0mNTuXUrtMMCh1Qsa88cUprCl0n5cvs\ncyKYT14IpPcw+Z2R5lQ4kQ7ObWCoJwzzhKEeMNgDHCWC00i2e/x1VtVyYmBd7skrV26wZs1Rvvoq\nBrm8M0uWjEAu74yZmX6oQkHjIZ6vLQfRl03Lnj17mDhxot4DrVFGpJVKpUqhUCwEdqELf7dBqVRe\nUCgUz5Xt/0KpVF5UKBQ7gdOABlhnSETXF1VREVunT2fwM8+0ThFdJpy5FgWpUXBtL1g7YaEqkKwu\ns7IzmogGxIOhBVG9L7VoOcExIolgIv4MlQ9jN7tbfeKUsC36vszxg0OZ/m4IHR6UV4jmf42BIZ7g\nYluzdhsquobUPSmVOGXKlEns3ZvEqlWH2bcviXnzBnLs2LN06dLIfiQCg4jna8tB9KVp0igj0sag\nriPSWq2Wn598EnVJCY9+913rGC0xIJzpOAE8J0DH8WDfiWXPBvL2AP0fhkNOBfLW2p165QLB3Sik\nkF/5mWyyeYyZuOHW1CY1ORotnEiDGS8sJ2nwcr39I2OXc/Br/fKmRipxiqvrQezsemFj053Fi4fz\nxBMDsLe3akIrBQKBwHg06Yi0KfHX+++Tef488/bta9Yi2uCkQLi7cO46HcZ+Avad9NoMUDRNXGbx\nc1XLobwvE7nCj3xPL/rwKI9hieF44C2d3CKIiIff4uD3uLKQcxqVZF1Hy/plCmwoqt+TUolTMjNH\n4e19gSNHVmJu3nyfpS0d8XxtOYi+NE1alZC+tH07R8LCeObwYSxta/hbqQkSvTucXWuXVJ0U+NkF\nuDIFuVdWjYVzdURcZkF90Zhp2EMkxznGNB6hB35NbVKjo9XC2QydcP4tFk6mwzhvmOIL/5ZDt3YQ\n7mucTIHGIiurSLLc3t5GiGiBQNCqaTWuHRlnz7Lp/vuZtX07nUZUD2F9jxFeE2PZM5N4e9AevfKQ\nPzvyVui74DkeHPQjIwgExuQGOfzA91hhxSPMwAGHex/UQigogT1XdML5tziwMIcgXwjqDhO6QBuJ\nAfnwyGhWb4m848s8y7/eCU8aEpVKwy+/XOTjjw9x/Pg3FBWN16sTGJjEzp0bm8A6gUAgaFxatWvH\nrcxMtjz0EIEff2xQROuN8K7VrTe5mFaXQPZpyDhWFr/5GBZpZ6QzBbbrDn5zG99GQavnNKf4nXDG\nImcUo2lJab2lUm5PmSTncvadUedD12BER5jSHV4aCX7OcC/PsYbIFGgM8vKKWL/+BKtXH6FTp7Ys\nXToSK6uO/OMfn4nEKQKBQFCNFi+k1SUlfD9jBn1mzqT/nDmSdSKUYVVENEDo+HhClKsbV0hrVHDj\ngi61duaxSklPfHRJT9yGQp8FqPa8DuzWO1xtJhEPqxkg/L6aL8UUE852UkjhCZ7iclQs5hNaloiu\nHk7u0AfBtNkOFl3lTPGFF4fBTwpwsL5LQ82AuLgcwsIO8803pxk8uC1K5WMMH96xbG9vZDJzkTil\nGSKery0H0ZemSYsW0lqtlvAXX8Ta0ZGJoaEG61loiyXLZenR8PP9YOd5Z7Ete7XvCLYeYHF38WrQ\nZUSrgdzYilFmMo9BZoyu3XLR7DsbXAeBpV2VNgNmLiV47RWRKVDQpFzjKt+zlS505XlexAorLhvO\nn9TsKCiBNzboh6m7OTaUvpdD2L9Kfs9RZ1NHq9USFZXIxx8f4uDBq/z974M5c+Z5YmNPVBLROoKC\n/IVwFggEgmq0aCF9ZPVqrh06xPwDBzAzNzxKpjKTHkpSOw+GIa/DrVTdkpcAafvvbN9KA0v7qkK7\n0hJ9PIFdW1cTel9SRZvBYUfgoBdy9ySwbq8TzG7DoOt/wHUIWDve8321tEmB4ht280KDhr/YzwH2\nE8SD9KVfxb7m3Jdp+fBXCuxPgf3JcCELLHKlH5GWFrJmLaKLilRs2XKGTz45TGmpmqVLR/LddzOw\ntdU5c3fsOKFpDRQ0GM35nhRURfSladJihXR8RAT7V6xg/oEDWDvcfdJTgGIxwZ+eINQ/q6JMN8L7\nGnhNMnygVgNFOZWEdSoUpurcMVIiifj6T0IDb1Y5JDQwl5DDPsj/Lw7auNb5/cknBTVb4Sxovtwk\njx/5ATVqnuMFnGieiTe0WriYVVU459yGMV665ZNAXSbBh2OlU27bmJtGmLracv16AZ99dozPPz/G\noEEevP/+JAICfJp1KFCBQCBoSmospBUKhTswHHAGKp66SqXS5KZsZ126xE9z56L44Qfade16z/ry\nSUHwlwshhzsjs7av+QivmTm0cdEtLv31dltsmwDs1SuXWdvXS0S3NFqL31dkdCSbI75FY6HBXGXO\n7IA5Jp3Rr7q94wLGkiXPZBgjkDMeGTK9Y5qyL6UmBZZP5itW6RKhlIvmv1J0Ps1jvWCsN/xzFPRy\nheqR3BbPCiC+GYWpA+kMhB079mPVqsP88stFZs7sw59/PkWvXoafQa3lnmwNiL5sOYi+NE1qJKQV\nCsU04BsgFugLnC173Q+YlJC+feMG3z30EBNXrKCzvIYz4vMSkHtlI192GmQNlzjCoMtIM50UKKg7\nkdGRrN4VxsDQO1+4VgeHAdRbTBtDoEvZ+1XwJp5jAffJ769X28ZAalLg6U+CGXsKMlzkHE+DHs46\n0TynH/x3CnRse+92GyrldmMhlYEwOnoFtrY9+ec/ZxMbuwhn5+YbQ18gEAhMjRrFkVYoFOeAN5VK\npVKhUNxQKpXtFArFPKCvUql82ehWSiAVR1qjUvHtlCm49unD5I8/rnljx96BW9dg/JoGtVEqrJ7O\nZWSVcMtoZcxb9jReb3fUK08MSebTt9Zgjjlmd/mrvr8cKcEbE3yaBYHPc5/8PlSUokKFCnW1dRUq\nSlFXWq9cvnLZxwx8W/9XlqshqWx860vjXKR6EDh/GRFd3tYr9zkRwmcfvcWITtC2mUfVqAmBgfOI\niOiiVx4QkMiuXabXbwKBQNBcqG8caS+lUqks31AoFGbA/4B0oEmEtBS7Xn4ZM3NzAj74oOYHabVw\n+Vu4b22D29PSJgUK6o7aQtqn9qoshc9Zg1biT4NGshyoENZ7Iv5gQmjVRBkDQ/vzbsgKYuTHsaj2\nJ9Mrkd5vZiHtM6uWmZ5vcG4RXMqxgC76+zo5yfD3aXSTGh21WsPu3QmcOHEdqQtRXNw8E28JBAKB\nqVNTIZ2hUCjclUplOpAIjAKywHSyLhxfu5b4Xbt45tAhzC1qMYcy+wyoboH7KKPYJSYF3puW7PdV\nQAHHOEKyKpkueOvt76Luyiu8VuP2qovqeIsrkvW6yrryOiF1tvtb1beS5TK1vl90ZRqzLzNvwSeH\n4fPjYFOqkqzTXCcF1pSkpFy+/DKGjRtP4uZmh6trG7Ky9OvZ2NTuUd2S78nWhujLloPoS9Okpk/X\n9cDYsvWPgT+AU8BnxjCqtiTu3cufISHM+vVXbJxqGUUgdjP4ztJNHBQIGohUrvETPxDGx+SRxwsB\nLxATfLpKnZjXTzPLf3at2i1385CVjR3LVNLC9l6C917MDpjTIPYag7R8eDkC/NboIm0cewbWLg3A\n50RwlXo+x19n0SzTncxZV4qLVXz//TkCA79hyJC1ZGcX8uuvszh27Fk++GABPj4nq9TXZSCc1UTW\nCgQCQcumRj7S1VEoFJ0BO6VSeb7hTaoZ5T7SNxIS2DB6NNO//hof/1p+aGo18L+uMHUHOPe7d32B\n4C6oUXOecxziIDe5yXBGMISh2KKb3BUZHcmWyM2oZWpkahmz/GcbZVJgzOunWTR5cYO03dD21ofk\nPHj/AGw+A08O0EXaqDxhMDwymtVbIu9MCpzlb7KTAuvCuXMZbNhwkm++OU2/fh34298GMX16T9q0\nqTpBOjw8sloGwlkikYpAIBDUE0M+0nUS0qbAnj17tGOHDWPD6NEMXbCA4QsX1r6R1H2w9wWYdabh\nDRS0Gm5xi2Mc4ShHaI8zIxmFHz0lw8MZA1MTvA1NXA68+xdsuwh/HwQvjYQO9k1tVeOQn1/M1q3n\n2LDhJMnJecybN5B58wbi49O+qU0TCASCVkW9JhsqFIqBwEpgEFD5I0yrVCqtGsbE2jPNx4exQ4cy\n7MUX69bA5c3Qo+l/qm7tNFe/rzRSOcRBLnCe3vRhLk/ijkej2+Ev9zcZ4dyQfXkhE97ZD7/HwYvD\nIHYhtG/TIE2bBFLxnoOC/NFqtRw6dJX160/w008XmTChC8HB45g8uTsWFo3jgtZc70mBPqIvWw6i\nL02Tms7K2wL8ACwBbhvPnNoxMiuLI7Gx7P7tN/yDajmhT10C8T/AY0eMY5ygRaJGzUUucJAD5JLL\ncEawhH9gh11Tm9ZiiEmH0H0QnQxLR8CnD4BjCwu9LhXv+fLl1WzbdpEDB8xRqTQ888xgLlx4EXf3\nVjL8LhAIBM2QmsaRvgG0VyqVJuMHsmfPHu3+Sbr03UmBgWzcubN2DSSGw/F34NG/jGCdoDkjleBk\ntHw0xznGUQ7jRDtGMoqe9Go0942WhKEMhIevQuh+OJ4G/zcKnh0Mdk32e5dxMRTv2dPzKN99t4ax\nY71F2m6BQCAwIeobR/p/wBx02Q1NDk1RUe0PurwZesxpeGMEzRqpyXvvBq+gK10Ikgcxm7l44NmE\nFjZvpDIQnv0kGLc/IaeDnFdHg3IG2NQigmVz5ObNUslyX18Xxo3r3MjWCAQCgaCu1NThbgXwtkKh\nOKdQKP6stPxhTONqirlNLX/3Lb0FSeHQ/THjGCSoFVFRUU1tQgXfRHxdRUQDjAkdRWmkiuk8KkT0\nPbhXX4ZtiagiogFSR4RSGhtJ7EJ4YVjLFdEajZZdu+J45JGtHDt2VbJObeM9GwtTuicF9UP0ZctB\n9KVpUtOPrO+BeGAbUHn4t8ldPU74+LBw0aLaHXTlV3AfDW1cjWOUoNlwi1skk0QySbo/i0Q646Vf\nUXhwNAi31dKPHBc7GVYt9Bpfv17Axo0nWbfuBE5ONjz33BBmzXqF115bW8VHWhfvuQ7RhwQCgUDQ\nZNRUSA8EXJRKZbExjaktSYGBLFy0qPYTDWNFtA5TorFmIWvRcoMbZaI5kSSSyOcmXnjtsGoDAAAg\nAElEQVTjTWf8CeQv1QHJY+ub4KS1YKgv0wvgs2NwOEUFEim7W1oGQo1Gyx9/XOGLL46ze3cCjz7a\ni61bZzB0qGeF77OtrWW1eM8LTSbes4gM0HIQfdlyEH1pmtRUSO8DegMn71WxMan1BEOAomxd/Gj/\nzQ1vkKDRkZoYWB4KToOG66SXjTUnkkwSAJ3pgjedGc4IOuCOeSUPp7kBT7A6WDrBiaD2nEjTpfHe\nfhlm9YVVLwTw4TfBVdw7fI6/zqKFk5vQyoYjM/MWX34Zw7p1J7C1teS554awfv2DOEqEHQkK8jcZ\n4SwQCASCulFTIZ0IRCgUip+AjErlWqVS+e8Gt8qYxP0A3pPByqGpLWlV3E3w1jU2ptTEwI+DP+I0\np3GRt+cqKbSlLd50xo+eBBCIE+0ww3A0hHKbtoTcSXDSEFkCWwtRUVGMlU/gl0uw6jAk5sKi4bAq\nENq1AZDj5Qirt4TcyUC4cHKzzkCo1WqJikrkiy+Os3NnHNOn9+Lrr6czYkTHZht5Q8SrbTmIvmw5\niL40TWoqpG2BcMAK6FRWZkYtfKQVCsVk4BN03qbrlUrle9X2TwB+ARLKin5UKpVv17T9GhO7GQa+\n3ODNCgwjJXhXB4cB3FOgqlFTTDFFFJX9W1S2Xsx/I9boTQwcGjqEvSFRvCd/jxko6hTf2ZQSnDQn\ncotAebUTT6+GTm1hyQiY3hOq5xAJ8pc3K+FsKHFKVlYhmzbFsHbtCSwtzXnuuSF8/vlUnJxaWNBr\ngUAgEBikRkJaqVQ+XZ+TKBQKGfApMAm4BhxVKBS/KpXKC9Wq7lUqlQ/V51x3JT8Fss/qRqQFjcbm\niG/1BO/A0P6sCVmNWq6ieEIRW9lSIZAri2Y1aqyxxhobbCpedX+lFtIhxNrJ2tGL3o3x1gTA5WwI\nOwKbz8AU3+58fx8M69jUVjUMUolTzp79BF/fA8TEWPPQQ35s3PgQo0d7NdvRZynEqFfLQfRly0H0\npWliUEgrFIouSqUysWy9m6F6SqUywdC+SgwH4iq19x3wMFBdSBv3kyj2O/B5FGQtNMuDiVJoUShZ\nrpFpscceF5wrBPIdoawTzVZYGXTF2KEKlywXEwONj1YLuxN0/s9HU+G5IXD2efBsYR5TYWGbq4ho\ngNTU4Tg4nCIh4Vvat6Sc5QKBQCCoNXcLWnqm0nqcgSW2hufpCKRU2r5aVlYZLTBaoVCcUigUvykU\nioYfUhTROhqVRBL5kg1kqjIk97uoXRjLOAqiCulHf3zpgTfeuOFGWxyxxvqu/syzA+YQE3y6SlnM\n66eZ5S/6uCEIj4wmcP4yJjy9nMD5ywiPjKawFNYeh76fw8uR8EgvSFoCb92nE9EtKc5pTs5tEhNv\nSu5zd2/bokV0S+rH1o7oy5aD6EvTxOCItFKpdKi0Xt8sATXxpT4BeCmVykKFQvEA8DPQ424HVHa8\nL/8PZmj7yM6vGJB7FWuPcTWqL7brvp1MEj/m/MDtNreZ3OYBPAI6svIfHzFy5XDKOfjSYSb7PFCx\nXZfzWWLJosDFbAnZTHZ+NmalZiyaqZsYaErXozlur/joUz6NSCB1zErKObDiFcx+ggnj5fzNPYZB\nTrncN6jq8eU0tf113R40aCQ//3yRzz7bx9mzedjZSf+aUliYW6vnT3PbjomJMSl7xLbYFtt3MBV7\nWtu2Icy02ntrXIVC4axUKrMlyn2USmV8DY4fCSxXKpWTy7ZfAzTVJxxWO+YK8P/t3Xd81FX2//EX\nCU2kqNjoSGii0hQQhIBGIFasV8HVRV3FQnDdXV0VWf2KrOWr358CLljQVVbRqyLoIhg2GNqi1NCJ\nEHoVkI4kJJnfH5NgIJNkMsm0m/dzH1nymbnzmRMOkZMP53PupdbaX3w9n5KS4klISCgx9hN+HAbZ\nv8IVr/n/GimVLWzhe1LYw2560ov2dCQ2byeT6bOmM2H6b5Mw+vceoBv6Iljf+54luWnhe317rBvG\nrI+GhyGi4Dl4MJNvvknns89WMnPmJq68sil33HER11/fklmzZhXqkY6LW8ybb0bOzGcREQm+lJQU\nEhISCv0zub9TO1YYY+631n6b/4Ax5mHgRaCuH69fCLQwxjQFtgN3AP0LLjDGnAf8bK31GGM6A5WK\nKqJLzeOBnz6BxM/L5XRysm1sZQYp/Mwu4ulFBzpS+ZQ/WpqEEfmO58APWyF5PczbVhmaFl4TE+NG\n//nhw1n8+98/Ye1KUlI2EB/fBGPaMH78zSfNfM4vliN14xQREQkvfwvp+4D3jDFfA68Do/D2OF/p\nz4uttdnGmMHAd3jH342z1q42xgzKe/5t4DbgYWNMNnAUuLNUX0lxdv0IMVXg7A4lrxW/7WA7M0hh\nB9uJpyf9uatQAe2P1AL/RC6h4/FA+l6Yvt77MXMTND8Lel8Arc7MZqGP15S0A2Ek5/Lo0eN8++1a\nPvtsJcnJGXTr1ghj2jBu3I2ceWbR/c4VceOUSM6jlI5y6Q7lMjL5O/5uqjGmLfA9MAj4BOhnrc3y\n942stVOBqac89naBz98C3vL3fKXy0yfemwwdGk8VTjvZwfeksJWt9CAew51UoUq4w4p4U6bPYuSE\nZDJzK1MtJpsh/fuEfJ7ynqPeaRv5xbMH6NMMBlwM426Ac/LGbk/x9OGxt6JrB0Jf854TEq5k6tS1\nWLuKqVPX0qlTA+644yLGjr2OunVrhDtkERGJcv72SNcCRgJXAV8A9wJPFyyEQ83vHuncbPhnA7hl\nLpzRPPiBOWwXu0hlBpvYSHfi6URnFdB+mjJ9Fo+99d3Jheniobz5aN8yF9PFFeiZ2TB3i7doTl4P\n636B+MbQJw56N4NWdYv++XLK9FmMmjD9tx0I+/eO2I1UfM17rllzNrm5cXTp0g1jLuKWWy7k3HNL\nv0GPiIhIWXuklwL/Bdpaaw8YY8YD/zLG3Gitva48Ay13W2dAraYqov3kayvv9vHt+J4ZbGA9V9CD\nm7mVqlQNd6hRZeSE5JOKaICMjiMYNWFYmYpTXwX66pFD6bMGtp0Vz9wt0OYcb9H8Rh/o0hCq+tnm\nHE07EPqa93z4cA969VrPjBm/D1NUIiLiOn8L6aettZ/lH1hr04wxlwEvBSescqTZ0X7ztZX3y0P/\nTnPi+F38PfTjZqpRrdzftyL0fWXm+v5WS94QS62XoUqMt8CtElvE5zHe41M/n/V+Mju6nFygb+k0\ngu+Sh/HGq/F8cgsU0/5b7kKdy19/Pc7nn69i3rzt+Lo70uNRO1cgKsL3ZEWhXLpDuYxM/vZIf+bj\nsWPA4+UeUXnK/hU2TIbLI7/ejwS+tvK+YkQ3Ng/bSo/46LgyGWk8Hu9NfCt2ZUOzws9f3TSHLx+H\n47mQleOdnJGV4z0u9vO8X9NOq8wOH+8bVzeWWy8M+pcXNj/9tJexYxfy0UdL6dSpAXFxZ5A3+vgk\n1avHhD44ERGpMPwesWCM6Qf0xDvuLoa8TVastfcEJ7RysHEKnHMZnF4v3JFErBxy2MkONrOZnZV3\n0qjQhpPgifVnP53AufgTdq4HJqfDy3NgfyYM6NeHKVOHsv7Sk2/ee2xwIrXKcJH/g9rZpPt4vKTp\nGsESzFxmZeUwefIaxo5dxIoVP3Pffe2ZP/8BmjU7kylTzvU57zkpaXDQ4nGZi9+TFZVy6Q7lMjL5\nVUgbY54DHgY+BQwwFhgA2OCFVg7U1lHIMY6xlS1sZhOb2MR2tlGHM2hCE07P9n0jVmyOG7ODQyEz\nGz5eDq/+F2pXg6eugH6tIDYmnr5xMGrCsN9u3hucWOYe5CH9+5ARZdM1SmvTpv28++5ixo1bQqtW\ndXnoocu4+ebWVKv223++NO9ZRETCwd8r0vcDva21y40xA621jxtjJgDDghhb2WTuh60pcNUH4Y4k\nKHzdFOhrw5MDHGAzm04Uzr+wl3rUpzFNuILuNKIxp+Ftoq3epwajhp7cI532zDKSEocE9Wtxoe/r\nUCa8sxj+3w9w0Tkw5lro1fTkiRjBuHkv/3zlXaAHqrxymZOTy7Rp6xgzZiHz5m3l7rvbMmPGPVx4\n4TlFvqYiznsOFhe+J8VLuXSHchmZ/C2k61hrl+d9nmWMqWqtnW+M6RmswMosYyI0vBqq1Ql3JOXO\n102Bo4aOJJdc2sW3YzMb2ZxXOh8niyY0oRFNuIF21KN+kZum5BfiE4b9tpV3UuIQ7UhYjJ+PwMgf\nYewiuLoZfHMndAhxJ1E0Tdcoyc6dhxk3bjHvvLOY88+vyUMPXYq1t1OjhsYsiohI5PF3jvQS4HfW\n2pXGmO+BScA+4AVrbdPghuhbiXOkJ18NFz8McbeGLqgQuffZgTR6sXAv88xhs7ll+M00pjFNaEJj\nmlCXs6mEJheUtw374LV5MGEF3HER/KUrxJ0V7qiiw6kbpyQl9adGjRaMHbuQ6dPXc/vtbRg06FIu\nvbR+uEMVEREByj5H+lng7LzPn8K7s2FN4JHyCa+cHdkBuxdBk2vDHUlQHK+c7fPxRrGNeCzCB6lE\nu6U74ZX/QnIGPNgRVj8C59UMd1TRw9fGKd9//3fq1+/Ak08O4N13b6BOnephjFBERMR/xRbSxpjG\neZ8uL3C8A+8Oh5A3uSPirPsMLrgJKodwgG4IHOEI85jLluzNNKNJoeer5kTnJimR1vd16k6BSXf2\noVbLeF6eC0t3weOXw9jrvDcTyslKyuVrr/2r0MYpx49fSevWm3jkkU5Bjk78FWnfkxI45dIdymVk\nKumK9Ea8xXJRvQEeIPJGOvz0CVw+ouR1UeIwh5nLHBazkIu4mD/2eZwPhr4f8psCKwJfOwXOfHko\nZ10MLwyMZ9IdUM3voZECsH79PiZPXsOkSenMmbMFXwO1jx3LDX1gIiIiZVRSSbAUOA34CPgXsI2i\ni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"text": [ "" ] } ], "prompt_number": 16 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Conclusions\n", "###Scaled coefficients" ] }, { "cell_type": "code", "collapsed": false, "input": [ "a, g, b, c = mapABCD(ABCD, form)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 17 }, { "cell_type": "code", "collapsed": false, "input": [ "adc = {\n", " 'order':order,\n", " 'osr':osr,\n", " 'nlev':nlev,\n", " 'f0':f0,\n", " 'ntf':ntf,\n", " 'ABCD':ABCD,\n", " 'umax':umax,\n", " 'peak_snr':peak_snr,\n", " 'form':form,\n", " 'coefficients':{\n", " 'a':a,\n", " 'g':g,\n", " 'b':b,\n", " 'c':c\n", " }\n", " }" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 18 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Final ADC coefficients" ] }, { "cell_type": "code", "collapsed": false, "input": [ "t = Table()\n", "ilabels = ['#1', '#2', '#3', '#4', '#5', '#6']\n", "t.append(['Coefficients', 'DAC feedback', 'Resonator feedback', \n", " 'Feed-in', 'Interstage'])\n", "t.append(['', 'a(n)', 'g(n)', ' b(n)', ' c(n)'])\n", "[t.append(x) for x in izip_longest(ilabels, \n", " adc['coefficients']['a'].tolist(), \n", " adc['coefficients']['g'].tolist(), \n", " adc['coefficients']['b'].tolist(), \n", " adc['coefficients']['c'].tolist(), fillvalue=\"\")]\n", "t" ], "language": "python", "metadata": {}, "outputs": [ { "html": [ "
CoefficientsDAC feedbackResonator feedbackFeed-inInterstage
a(n)g(n) b(n) c(n)
#10.1000.0150.1000.137
#20.1700.0180.0000.191
#30.2130.0000.384
#40.3630.0000.440
#50.3650.0001.530
#60.000
" ], "metadata": {}, "output_type": "pyout", "prompt_number": 19, "text": [ "[['Coefficients',\n", " 'DAC feedback',\n", " 'Resonator feedback',\n", " 'Feed-in',\n", " 'Interstage'],\n", " ['', 'a(n)', 'g(n)', ' b(n)', ' c(n)'],\n", " ('#1',\n", " 0.0999709505457732,\n", " 0.014662858590682186,\n", " 0.0999709505457732,\n", " 0.13720030320940452),\n", " ('#2', 0.1700908128555918, 0.01797487880053184, 0.0, 0.19054691044404687),\n", " ('#3', 0.21259333422368693, '', 0.0, 0.38391557210535393),\n", " ('#4', 0.36291461845822437, '', 0.0, 0.4400237909756517),\n", " ('#5', 0.36463499301110897, '', 0.0, 1.5301045683978285),\n", " ('#6', '', '', 0.0, '')]" ] } ], "prompt_number": 19 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### System version information" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#%install_ext http://raw.github.com/jrjohansson/version_information/master/version_information.py\n", "%load_ext version_information\n", "%reload_ext version_information\n", "\n", "%version_information numpy, scipy, matplotlib, deltasigma" ], "language": "python", "metadata": {}, "outputs": [ { "html": [ "
SoftwareVersion
Python2.7.8 |Anaconda 2.1.0 (x86_64)| (default, Aug 21 2014, 15:21:46) [GCC 4.2.1 (Apple Inc. build 5577)]
IPython2.2.0
OSposix [darwin]
numpy1.9.1
scipy0.14.0
matplotlib1.4.2
deltasigma0.1-9
Tue Nov 11 11:45:12 2014 CET
" ], "json": [ "{\"Software versions\": [{\"version\": \"2.7.8 |Anaconda 2.1.0 (x86_64)| (default, Aug 21 2014, 15:21:46) [GCC 4.2.1 (Apple Inc. build 5577)]\", \"module\": \"Python\"}, {\"version\": \"2.2.0\", \"module\": \"IPython\"}, {\"version\": \"posix [darwin]\", \"module\": \"OS\"}, {\"version\": \"1.9.1\", \"module\": \"numpy\"}, {\"version\": \"0.14.0\", \"module\": \"scipy\"}, {\"version\": \"1.4.2\", \"module\": \"matplotlib\"}, {\"version\": \"0.1-9\", \"module\": \"deltasigma\"}]}" ], "latex": [ "\\begin{tabular}{|l|l|}\\hline\n", "{\\bf Software} & {\\bf Version} \\\\ \\hline\\hline\n", "Python & 2.7.8 |Anaconda 2.1.0 (x86\\letterunderscore{}64)| (default, Aug 21 2014, 15:21:46) [GCC 4.2.1 (Apple Inc. build 5577)] \\\\ \\hline\n", "IPython & 2.2.0 \\\\ \\hline\n", "OS & posix [darwin] \\\\ \\hline\n", "numpy & 1.9.1 \\\\ \\hline\n", "scipy & 0.14.0 \\\\ \\hline\n", "matplotlib & 1.4.2 \\\\ \\hline\n", "deltasigma & 0.1-9 \\\\ \\hline\n", "\\hline \\multicolumn{2}{|l|}{Tue Nov 11 11:45:12 2014 CET} \\\\ \\hline\n", "\\end{tabular}\n" ], "metadata": {}, "output_type": "pyout", "prompt_number": 20, "text": [ "Software versions\n", "Python 2.7.8 |Anaconda 2.1.0 (x86_64)| (default, Aug 21 2014, 15:21:46) [GCC 4.2.1 (Apple Inc. build 5577)]\n", "IPython 2.2.0\n", "OS posix [darwin]\n", "numpy 1.9.1\n", "scipy 0.14.0\n", "matplotlib 1.4.2\n", "deltasigma 0.1-9\n", "Tue Nov 11 11:45:12 2014 CET" ] } ], "prompt_number": 20 } ], "metadata": {} } ] }