{ "metadata": { "name": "", "signature": "sha256:b51398be09fd711f3778a0a38b9a9fff8b74ec79d5c8ee6a99118761a3c0312d" }, "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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kUCjIw8OD9u7dq9LOisjkrWtwdOlCdO6c1FYw2kKTz5GsFvf17Al8+qnIvfLi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\n8SLQvLnU1jD1AWtPMQyjMf/5D/Deexw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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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Dr7wiNY/78ktg5Ejpy/6KFdL9tqpbpay6HV9+fsBrrwEJCVKl+vBhoEEDYPx4\nqY9aZVW38jI1lheZkpqPL7VmYy55mEse5pJHrbkMsfiKGVWNgwelJnBdukj3zjp6FNizR2qy6Oio\ndDqSS6MBOncGvv9eGoLfz08azfGRR6Qmj3l5SickIiIiMi9sykgmo9VKA0Z88AFw44Z0pWXsWFbE\nqqsHD6TmqZ99Bpw9C0yYAEyaBHh4KJ2MSsPPTnXg+0BEZDnYx4yqVHY2sGYNsHgx4O4OTJsmjfDH\nmxdbjlOngI8+ku499+KLwKuvAp6eSqeih/GzUx34PhARWQ72MTPAHNufKslQed25A7z7rtTnaNs2\n4KuvpD5ITz9tuZUySz2+mjcHvv4aOHYMuHkTCAoCZs0CUlMNr2ep5VVRLC8yJTUfX2rNxlzyMJc8\nzCWPWnMZYvEVM6q83Fxg2TLpy/e5c8C+fcDWrUDXrtVvMA+Sp0EDaZCX48eB27eBJk2AGTOkIfiJ\niIiI6F9sykgVptUC69YBb78tXSFZsABo1UrpVKRmV64ACxdKA4Q8+ywwfTrg7a10KsvFz0514PtA\nRGQ52JSRjEoIYPt2IDRUGuZ+zRqp6SIrZVSWevWA5culofVzcqQK/UcfcRRHIiIiIouvmJlj+1Ml\nffZZDLp1k650vPOONAz+I48onUq9eHyVzM8P+PRT4LffpNsmtGwJ7NjB8pKL5UWmpObjS63ZmEse\n5pKHueRRay5DbJQOQOYhOVkaWW//fmDRIuCZZyx3QA8ynqZNpQrZjh3S7RRcXaUrsE2bKp2MiIiI\nqGqxjxkZpNVKzRXnzQPGjQPefBNwcFA6FVVHeXnSPdAWLABGjgTmzAHc3JROVb3xs1Md+D4QEVkO\n9jGjCjl+HAgPB374AThwAHjvPVbKyHTs7KSrsqdPS/fCa9pUGtGxoEDpZERERESmZ/EVM3Nsf2pq\nd+9KX5D79JFuDnzgABAcLM1jecnD8pInJiYGtWoBn38OREcDq1YBjz8OXLqkdDJ14vFFpqTm40ut\n2ZhLHuaSh7nkUWsuQ9jHjHSEADZvBiZPBh57DDh1CvDyUjoVWaqQEGlwmSVLgHbtpOa0L74IWFn8\nz0lERGRKQkiPwn8X/VvR7Rlj3fx84MGDqt1neeTlSfe0VUMZFZWTA9y/X7X7rCz2MSMA0g1/x40D\nzp6VrlZ066Z0IqJ/nT0r3ffMzk66itawodKJqgd+dqoD34d/CSE1Zb5/X/qil5cnfRHNyyv+b0Pz\n8vOlPtIqi2BaAAAgAElEQVQlPQoKSp9X1vyCgn8fhV/ehSh7ujzLmGKdouVa9G9p/y5rvqmWVcN+\nDdFo9P9WhBLrWso+K7OuEvu8d6/0z3xeMSPs3g2MHSsNuLB+PVCjhtKJiPQ1bSoNrb90KdC+PTB3\nLvDSS7x6RqQmOTlAWhqQmio9Cv9d+DcjQ6pw3btX/G/hv7OzpXOQo6P0187u34etbcn/Lmmera30\n+WBtXfxhZ1f6PGtrw/OsraUvY1ZW0t+H/13SdHmWMdU6Rb84llS5qMh8Uy2rtv0SmYqh48zir5jF\nxMQgIiLCuIHMRE4OMHs2sHEj8M03wKOPlr2OJZdXRbC85ClPeZ07J/2QYGsrXT1r1KhqsqlRZY8v\nXqlRB7W+DyUdXwUFwN9/A/HxwIkTwD//SH1AExOlipeXF+DpWfyvp6c0yqqTk/RwdNT/W/hvR8fy\n/eCi1s9W5pKHueRhLnnUmsvQZz6vmFmoU6eAESOAwEAgIUE6aRKZgyZNpKtny5YBHTtKf0eMUDoV\nUfWVmQn8/DOwcyfwyy/S/QbDwoDWrYEBA4CAAKBBA6B2bV7FJiKqDIu/YmZphJDuFTVvnnSj6LFj\neemezFdCAjB4sDRy45IlgL290onMCz871UGt78O1a9J9Bb//HoiIkCphvXsDdeoonYyIyHzxPmYE\nALh5E3jiCanZ4qFD0mAKrJSROQsJAY4dkwav6dxZalZFRJUjhPRDR0gIULOm1MLi55+lH/JYKSMi\nMh2Lr5iZ4z0OKuLYMaBtW6BVK6lS1rhxxbZjKeVlLCwveSpSXjVrSv0kn3lGatq4ebPxc6kVjy8y\nttxcYOhQ6SrZxx/H4P33gbp1lU5VnFqPfeaSh7nkYS551JrLEIuvmFmC776Tbha9bBnw/vvSoAlE\n1YlGI91/b8sW6e/rr5f/Xi9EJMnPl/prarXAr7+qs0JGRFSdsY9ZNabVAjNnAps2SVcRWrZUOhGR\n6aWlAaNGSQMWbNgA+PkpnUi9+NmpDmp5H6ZOBf78E9i2jbdNISIyFfYxs0C3bwN9+0qDIxw9ykoZ\nWQ5PT+mLZd++UtPG48eVTkSWLjo6Gk2bNkXjxo2xaNEipeOU6JdfpCbBGzawUkZEpBSLr5iZY/vT\nspw+Ld2ENzhYGt7Yw8N4266O5WVKLC95jFVeVlbAG29IN6Tu1QvYvt0om1UdHl/qp9VqMXHiRERH\nR+P06dP4/vvvcebMGaVj6cnLAyZOBD7/XP98oebjS63ZmEse5pKHueRRay5DLL5iVt1s3SoNa/zG\nG9KoWja8Ux1ZsKeflv5PPP88sGKF0mnIEsXFxSEwMBABAQGwtbXFsGHDEBUVpXQsPZ9/Lt2ovW9f\npZMQEVk29jGrRlasAN59V+pT1qGD0mmI1OPiRelL54AB0v37eBNcCT87Te/HH3/Erl27sHLlSgDA\nd999hyNHjuCTTz7RLaPRaHB65GlAA8BKmoYGgAbQWJX87xLnWQG27rawrW0LhwYOcA51hq2H4dGe\n8vKkStnPP0sj9xIRkWkZOvfyeko1IIRUIfvmG+C334CGDZVORKQujRpJt4kYNAgYMgT49lvAwUHp\nVGQJNOW8WeTcS3Ph7+UPAQFXe1e08G+B8CbhQAFw6OwhCAh0atxJmj5/CBBAeKNwCCEQeyEWEEDH\nBh2Rn56PAwcPIPdaLpomNoVzmDMSuybCLcIN3R/tDuDf5j0RERFYvx7w9o5BVhYARBSbz2lOc5rT\nnK7cdEJCAjIyMgAAiYmJMEhUA5V5Gfv37zdeEAVotUK88ooQrVsLcf266fdn7uVV1Vhe8pi6vHJy\nhBg+XIiOHYW4edOku6oSlS2vanIKULXY2FjRq1cv3fSCBQvEwoUL9ZYx1fuQn50vbv50Uxxre0wc\n73Zc5CTlFFumc2chNm8ueX01f36pNRtzycNc5VO/fn2RlpZmMNeZM2dE69atRVhYmPjnn3+qLpyQ\nV16//vqrCA4OFqGhoSI7O1tvnpOTk950ZGSkmDhxYqVzzZ49W/j7+wtnZ+dSl7106ZKwt7cXISEh\nIiQkRLz44ou6eceOHRMtWrQQgYGB4pVXXqlwnkKGPvPZoMeMPXgAjB4tjToXEwP4+CidiEjdatSQ\n7uv32GNAp07AlStKJ6Lqrm3btrhw4QISExORl5eHDRs2YMCAAVWyb2t7a9R6qhbCDofBvbs74rvE\nI+dyjm7+mTPAP/+wbxmR2pXnyvvmzZsxePBg/PHHH2jQoIHR9q3Vao22LQBYu3YtZs+ejePHj8Pe\n3l5v3sOvs7wtDsoycOBAxMXFlblcYGAg4uPjER8fj+XLl+uef/HFF/H111/jwoULuHDhAqKjo42S\nqyTsY2amsrOlJllCAD/8ADg6Kp2IyLwsWQJ88gmwbx8QEKB0GmVY4menEnbu3IkpU6ZAq9Xiueee\nw6xZs/TmV9X7cOXDK7jx7Q2EHQqDtZM15s4F7t4FFi82+a6JqBIaNGiAP/74A3fu3EGfPn3wyCOP\n4NChQ/D19UVUVBT27duH5557DtbW1ggKCsK+ffv01nd2dsaUKVOwbds2ODg4ICoqCt7e3khMTMSz\nzz6LtLQ01KpVC5GRkfD398eYMWNgb2+PhIQEdO7cGenp6brpmzdv4uuvv0ZkZCSOHj2KDh06IDIy\nsljmvXv3Ytq0acjPz0e7du2wYsUKrFmzBjNmzEDNmjXRqVMnfPfdd3rruLi44O7du7rp1atX448/\n/tDrk1sZD2+/qMTERPTv3x8nT57Ue/769et49NFHdaPprl+/HjExMfj8888rnIP3MatmMjKkIcBr\n1pQ6bLNSRiTfq69Kj4gI6aoBkan06dMH586dw99//12sUlaV/Kf6w6mlEy7OuAhAOn8MGqRYHCKq\ngL///hsTJ07EX3/9BTc3N/z000/o27cvJkyYgNdee61YpQwA7t+/j/DwcCQkJKBr1666wYgmTZqE\nsWPH4sSJE/jvf/+LV155RbdOcnIyYmNjsfj/f7nJzMxEbGwslixZggEDBmD69Ok4deoUTp48iRMn\nTujtLycnB2PHjsUPP/yAP//8E/n5+VixYgWef/55DBgwAB9++GGxShkAZGdnIzQ0VPeYM2dOiVfN\nYmJi9JYrfHTp0qVSZXvp0iWEhoYiIiICv//+OwAgKSkJfn5+umV8fX2RlJRUqf0YYvEVs8JOeuYi\nNRXo3h0ICQHWrAFsDQ+4ZXTmVl5KY3nJU9XlNWkSMH269H/q77+rdNdGweOL5NBoNGj8SWOk/pyK\nMz9lIiUFCA8vfXk1H19qzcZc8jCXPIcPH0aDBg3QqlUrAECbNm30BpMo7SqMnZ0d+vXrV2ydw4cP\nY8SIEQCAkSNH6iojGo0GgwcP1qsU9e/fHwDQokUL+Pj4oHnz5tBoNGjevDm2bt2qt79z586hQYMG\nCAwMBACMHj0av/76a5k5HRwcdE0J4+PjMX/+/BKXjYiI0Fuu8FGYv5Cc97Fu3bq4evUq4uPj8dFH\nH2HEiBGlXl0zJY7KaEYyMoCePYHevYEFCwAjNb0lsmgvvSTd7+/RR4E9e4CgIKUTEZmOrbstGrzT\nAMem/4MB/UNgbc0TCZE5qVGjhu7f1tbWyM7O1k1rNBoUFBQgLCwMGo0GAwcOxNy5c2Fb5Fd8Kysr\n5Ofn66ZLqyQ5PtQcy87OTrd+0QxWVlbF+qE9fJWrok21S1tv//79eO2110rMfPDgwQrty87OTvca\nw8LC0KhRI1y4cAG+vr64du2abrlr167B19e3QvsoD4uvmBUOZ6l2WVlSB+1HHlG2UmYu5aUWLC95\nlCqvceP0K2dNmyoSQzYeX1QRtZ+pjZyJV/FUg9sAPEpdTs3Hl1qzMZc8zCVPx44dS50nhIAQAlZW\nVkhISCjX9jp16oT169dj5MiRWLt2Lbp27VqhXC1atNCbDgoKQmJiIi5evIhGjRrh22+/NWqZdu/e\nHfHx8WUuJ2efqampcHd3h7W1Nf755x9cuHABDRs2hJubG1xdXXHkyBG0b98e3377rV6TT2Oz+KaM\n5iA7W7oxbnCwNGABr5QRGd+zz0o/ejz2GHD6tNJpiEwnJ88K32v94PPbtbIXJiLFFb0CVdrIhRqN\nptRRDB9ev3D6k08+QWRkJFq3bo21a9di2bJlZe6nrHkAYG9vj8jISAwePBitWrWCjY0NJkyYUOry\nhrZrjJEZp0+fDn9/f2RnZ8Pf3x/z588HAGzduhVz5swBABw4cACtW7dGaGgoBg8ejC+++AJubm4A\ngOXLl+P5559H48aNERgYiN69e1c6U2ksflTGmJgY1f4yAgB5ecBTTwEuLtIw39bWyuZRe3mpDctL\nHjWU19q1Ur+z338HjDjisElUtrw4KqM6VPX7sG8fMHeWFu9fOozQg6FwbFzyCFJq+P9YGrVmYy55\nmEse5pJHrbkMfeZbfFNGNcvPB0aOlCpja9YoXykjsgT//a/Un7N3b+DgQcDLS+lERMYVEwN0ecwa\ndazqIOmTJDT+uLHSkYiICLxiploFBVLTquRkYMsW4KF78BGRic2eLV1Z2LsXcHJSOo1pVMfPTnNU\n1e9D167Am28CXZvk4FibY+iU3AlWduzZQERUFXgfMzMjBDB5snRvpc2bWSkjUsJ770mDgAwbJl29\nJqoOsrOB48eBTp0A+/r2cGruhLQdaUrHIiKZsrOz0a9fPzRr1gwtWrRQ9B6Jcvz2229o3rw5wsLC\nkJOTozfP2dlZb3r16tWYNGlSpff5xhtvoF69enBxcSlz2StXrsDZ2Vl3/za561eWxVfM1Hivio8/\nlpqabN2qvptHq7G81IzlJY+aykujAVauBB48ACZMkH4wURs1lReZh6NHgRYtgMLvP7VH1caNNTdK\nXFbNx5daszGXPMwlz8O5pk+fjjNnziA+Ph4HDx5EdHS00ff58FD45cllyNq1azF79mwcP34c9g9d\neShrUBG5CnMNHDgQcXFx5Vrntdde093zrZCc9SuLfcxUZudOYNEi4NAhoGZNpdMQWTZbW+DHH4GI\nCGDuXGDePKUTEVXO0aNA+/b/TnsP9sbFqRfxIP0BbD1sS1+RiFTFwcEB3bp1AwDY2toiLCwMSUlJ\nJS7r7OyMKVOmYNu2bXBwcEBUVBS8vb2RmJiIZ599FmlpaahVqxYiIyPh7++PMWPGwN7eHgkJCejc\nuTPS09N10zdv3sTXX3+NyMhIHD16FB06dMDo0aOL7XPv3r2YNm0a8vPz0a5dO6xYsQJr1qzBxo0b\nsXv3buzcuRPfffedwddorCbe7Yt+6BmwefNmNGzYEE4P9V8o7/rGwD5mKvLXX9J9lDZvlpqZEJE6\n3LgBdO4MTJsGjB+vdBrjqS6fneauKt+HYcOAfv2AUaP+fe7kkydR66la8HnGp0oyEJFxZWRkoE2b\nNti7dy8CAgKKzbeyssLWrVvRr18/zJgxA66urnjjjTfQv39/DBkyBKNGjUJkZCS2bNmCn3/+GWPG\njEF6ejqioqKg0WgwduxY5ObmYt26ddiyZQtGjhyJ2NhYBAcHo127dvj666/RunVr3f5ycnIQFBSE\nffv2ITAwEKNHj0ZYWBgmT56MsWPHon///njqqaeK5bSxsUHLli110+np6Rg4cCA+/vhjveViYmLw\n6quvFlvfyckJv//+e6nl5OLigrt375Y4LysrCz179sSePXvwwQcfwNnZGVOnTi33+nKwj5kZuHkT\n6N8f+OgjVsqI1KZ2bSA6WrpqtmuX0mmIKu7oUaBtW/3nag2qhdSfU5UJRESVkp+fj+HDh2Py5Mkl\nVsoAwM7OTtc8r02bNkhMTAQAHD58GCNGjAAAjBw5Ulep0Wg0GDx4sF5Twv79+wOQbibt4+OD5s2b\nQ6PRoHnz5rrtFTp37hwaNGiAwMBAAMDo0aPx66+/6uaXVilxcHBAfHy87jF//vwSl42IiNBbrvBh\nqFJWlrlz5+LVV1+Fo6Ojoj9YWnzFTA3tiHNzpXuVjRghDY+vZmooL3PC8pJHzeUVGAhs2AA88wxw\n6ZLSaSRqLi9Sn/R0IDUVaNJE/3nP/p64ve82tPf1+5Ko+fhSazbmkoe55Ckp17hx49CkSRO88sor\nAKQ+YaGhoQgNDcXcuXMBSE0dC1lZWSG/yIhWpVVCHB8a5MDOzk63fo0aNfS2l5CQoLfsw33DKlrR\nKW29/fv3615j0Ufnzp31lpPzPsbFxWH69Olo0KABli1bhgULFmD58uUVyl0Z7GOmMCGAceMAHx/g\nnXeUTkNEhnTtCsyaJf2QcugQ4OCgdCKi8jt2DAgLA6we+knW1sMWLu1ckL4rHbUG1VImHBHJ9uab\nb+LOnTv4+uuvdc9ZW1sjPj6+XOt36tQJ69evx8iRI7F27Vp07drVKLmCgoKQmJiIixcvolGjRvj2\n22+NeqPn7t27l/s1llfRK3rz5s2Di4sLXnrpJaPuozws/oqZ0ncEX7RI6lv2zTfFT5ZqpHR5mRuW\nlzzmUF6TJwPNmqljpEZzKC9Sj5KaMRaqNagWUjfpN2dU8/Gl1mzMJQ9zyVM017Vr17BgwQKcOXMG\nYWFhCA0NxapVq0pcr+gVLI1Go5v+5JNPEBkZidatW2Pt2rVYtmxZieuUtI2iivYLAwB7e3tERkZi\n8ODBaNWqFWxsbDBhwoRS1ze0z8qMzFhYXtOnT4e/vz+ys7Ph7++P+fPnAwC2bt2KOXPmlLmd0tY3\nBQ7+oaBffgHGjAHi4gBfX6XTEFF53bsHhIdLlTMFflAzGnP97Kxuqup9+M9/gMGDpQFAHpablIuj\nLY+i041OsLI1g18JiYjMFAf/MECpdsQ3bgCjRwNr1phXpUyt7a7ViuUlj7mUl5MTsGmTNBhIbKxy\nOcylvEgd/vwTaNWq5Hk1fGvAvqE97hy6o3tOzceXWrMxlzzMJQ9zyaPWXIZYfMVMCQUF0lDFzz0H\nPPaY0mmIqCICA4FVq4AhQ4CUFKXTEBl27x6QlAQ0blz6Mp59PZG2M63qQhERkR42ZVTAwoXA9u3A\n/v2ADYdfITJrc+dK/5f37JFuSG1OzO2zs7qqivfh6FHghReAhwZP05MZm4nz48+j3Z/tTJqFiMiS\nsSmjisTGAkuWAOvWsVJGVB28/bY0OuOCBUonISrdX38BD/XPL8a1vStyk3ORczWnakIREZEei6+Y\nVWX709u3geHDgZUrAX//KtutUZlje10lsbzkMcfysrKSmjQuXy4NR16VzLG8SBknT5ZdMdNYa+DR\nywPp0ekA1H18qTUbc8nDXPIwlzxqzWWIxVfMqooQwPPPAwMHAgMGKJ2GiIypbl3g44+lvqPZ2Uqn\nISru5EmgRYuyl/Po44H0HemmD0RERMWwj1kVWbFCulIWGwsUuWE6EVUjw4dLN4tfskTpJOVjDp+d\nlqAq3gcfH6mfWVmtNfJu5eFI4BF0vtUZVnb87ZaIyNjYx0xhly4Bb70FfP89K2VE1dlnnwEbN0qD\ngRCpRWoqkJMD+PmVvaxdLTs4NnNE5u+Zpg9GRER6LL5iZur2p0IA48cD06YBTZqYdFdVwhzb6yqJ\n5SWPuZeXhwfw1VfSjeMzq+B7rbmXF1WNc+eApk0BjaZ8y3v28UTajjRVH19qzcZc8jCXPMwlj1pz\nGWLxFTNTW7NG+rVy6lSlkxBRVejdG+jXD5g8WekkRJJz54CgoPIv79GX/cyIiJTAPmYmdOMG0KoV\nsHMnEBamdBoiqir37gEhIcD//gcMGqR0mtKp9bPT3GzcuBFz587F2bNncfToUYQV+cB///33sWrV\nKlhbW+Pjjz9Gz549i61v6vdh5kzAxQV4443yLS8KBA75HEKbo21gX9/eZLmIiCwR+5gpZPJkqUkT\nK2VElsXJCYiMBCZNAu7eVToNmVrLli3x888/o2vXrnrPnz59Ghs2bMDp06cRHR2Nl156CQUFBVWe\n7/x5eVfMNFbSsPlpO9NMF4qIiIqx+IqZqdqfbt0q3dNozhyTbF4x5theV0ksL3mqU3l16QL06AHM\nn2+6fVSn8jJnTZs2RVAJNZ+oqCgMHz4ctra2CAgIQGBgIOLi4qo8n9ymjIA0bP6ub3eZJpARqPXY\nZy55mEse5pJHrbkMUbRiFh0djaZNm6Jx48ZYtGhRsfkxMTGoWbMmQkNDERoainfffVeBlPLduQO8\n/LI0PL6jo9JpiEgpixYBq1cDp08rnYSUkJycDL8iQyH6+fkhKSmpSjNotcA//wCNG8tbz72nO7IS\nslCQW/VX+IiILJWNUjvWarWYOHEi9uzZA19fX7Rr1w4DBgxAs2bN9Jbr1q0btmzZYrIcERERRt/m\nzJlAz55A9+5G37TiTFFe1RnLS57qVl7e3sDbb0tNGvfsKf+oeOVV3cpLzXr06IGUlJRizy9YsAD9\n+/cv93Y0pRwEY8aMQUBAAADAzc0NISEhuve38Fffikxfvgy4uMQgLk7++p1bdkbm75k4YX2iwvs3\n5XQhteSJiIhARESEqvIUnS6kljwsL/nTLC/zLK+EhARkZGQAABITE2GIYoN/xMbGYt68eYiOjgYA\nLFy4EAAwc+ZM3TIxMTFYvHgxtm7danBbaurAHh8P9OkDnDkDuLsrnYaIlJafD7RtC8yaBQwdqnQa\nfWr67KwOunfvjsWLF+sG/3j4vNa7d2/MmzcPHTp00FvPlO9DdDTw4YfSDwNyJc5LRP7dfAR+GGj8\nYEREFkqVg38kJSXB399fN11SEw+NRoNDhw6hdevW6Nu3L06boD3QwzX9yhACeP11qV9Zda2UGbO8\nLAHLS57qWF42NtKNp19/HcjKMu62q2N5mbuiJ9sBAwZg/fr1yMvLw6VLl3DhwgW0b9++SvOcP1/x\ne2ie8j6F9J3qHDZfrcc+c8nDXPIwlzxqzWWIYk0ZS2vOUVRYWBiuXr0KR0dH7Ny5E08++STOnz9f\n4rKmagYiZ/revQgkJwNBQTGIiVHHZVxOc5rT6ph+9NEIvPMO0KePcnliYmKwevVqANB9XlLl/fzz\nz3jllVeQmpqKfv36ITQ0FDt37kRwcDCGDBmC4OBg2NjYYPny5eU69xlTRQb+KOQY5IgHNx8g50oO\n7Otx2HwiIlNTrCnj4cOHMXfuXF1Txvfffx9WVlaYMWNGqes0aNAAf/zxBzw8PPSeV0NznPx86Z5l\n//sf8MQTikYhIhW6cQNo0QL49Vfgoa60ilHDZyeZ9n3o0QN47TWpiX1FnP7vabh1dUPd8XWNG4yI\nyEKpsilj27ZtceHCBSQmJiIvLw8bNmzAgAED9Ja5ceOGLnhcXByEEMUqZWrx1VeAjw/Qr5/SSYhI\njWrXlm7w+/rrSichS1KZpoyANGx+erQ6mzMSEVU3ilXMbGxs8Omnn6JXr14IDg7G0KFD0axZM3zx\nxRf44osvAAA//vgjWrZsiZCQEEyZMgXr1683eo7CZj6VcecOMG8esHix8UddUxtjlJclYXnJU93L\n68UXgb/+AmJjjbO96l5eVDk5OdKV2vr1K7Z+TEwMPHp54Pb+2yjIU9ew+Wo99plLHuaSh7nkUWsu\nQxTrYwYAffr0QZ+H2leMHz9e9++XX34ZL7/8clXHkm3RIml4/NBQpZMQkZrVqCENn//mm8DevUqn\noeouMRHw9wesrSu+DbtadnAMckTmwUy4d6+mo1oREamEYn3MjEnJfhJXrwIhIcCJE0CR+4gSEZXo\nwQMgOBj44gvg0UeVzcI+Zupgqvdh505gyRJg9+7KbefSnEsoyC5Ao/81Mk4wIiILpso+ZtXFnDnA\nhAmslBFR+djaAnPnAm+9Jd1ig8hULl0CGjSo/HY8+niodth8IqLqxOIrZpVpf5qYCERFWVZnfnNs\nr6sklpc8llJew4YBGRnSzX8rw1LKiyqmshWzwuPLtZ0rcq/nIudqjnGCGYFaj33mkoe55GEuedSa\nyxCLr5hVxocfAi+8UH1vJk1EpmFtDcyfL/U141UzMhVjXTHTWGvg0ZOjMxIRmRr7mFVQSorUT+TM\nGWkYbCIiOQoKgLZtpSaNgwYpk4F9zNTBVO9DmzbAihVA+/aV31bKtylI/TkVLTa1qPzGiIgsGPuY\nmcDSpcCIEayUEVHFWFkB77wjVcwK1DUSOVUTxrpiBkAaNn+f+obNJyKqTiy+YlaR9qcZGcDKlcC0\nacbPo3bm2F5XSSwveSytvPr2lYbQr2hfM0srLyq/zEwgLw/w8qr4NooeX3bednBs7IjMQ5mVD2cE\naj32mUse5pKHueRRay5DLL5iVhGffQY88UTFb9pJRARIN6SfMkW6Ak9kTIVXyzQa422TozMSEZkW\n+5jJdO8e0LAhEBMDNGtWJbskomosN1f6Av3LL0Dz5lW7b/YxUwdTvA8//wxERgJbthhvm5mxmTg/\n/jza/dnOeBslIrIw7GNmRF99BXTpwkoZERlHjRrAiy8Cy5YpnYSqk8REICDAuNt0be+K3KRc5FxT\nz7D5RETVicVXzOS0P9VqgSVLgJkzTZdH7cyxva6SWF7yWGp5jR8PbNwIpKbKW89Sy4vKZoyBPx4+\nvtQ0bL5aj33mkoe55GEuedSayxCLr5jJsWsXUKsW0I6tOIjIiLy9gaeeAr78UukkVF0Yc0TGojz6\neCB9u/IVMyKi6oh9zGR48kmgXz/pptJERMb0559Anz7SF2o7u6rZJ/uYqYMp3ocWLYC1a4HWrY26\nWeSl5uFIoyPodKMTrO2tjbtxIiILwD5mRpCUBBw4AAwfrnQSIqqOWrUCmjYFfvxR6SRk7oQwTR8z\nALDzsoNza2dk7M0w/saJiCycxVfMytv+dNUqYOhQwNnZtHnUzhzb6yqJ5SWPpZeX3KHzLb28qGSZ\nmYC1NVCzZuW2U9rx5TXQC6lRMjtEGplaj33mkoe55GEuedSayxCLr5iVh1Yr3VB6/HilkxBRdda3\nL5CcDJw6pXQSMmdXrwJ+fqbbvudAT6RtTYMoYDNYIiJjYh+zctixA5gzBzh61GS7ICICAMyYId0U\neO+5d1QAACAASURBVOFC0++LfczUwdjvw86d0pXXXbuMtsli4prHoemqpnDt4Gq6nRARVUPsY1ZJ\nX3zBq2VEVDVGjZIGbdBqlU5C5uraNcDf37T78BqgfHNGIqLqxuIrZmW1P01KAn77DRg2rGryqJ05\nttdVEstLHpaXNJqelxdQnqJgeVFJjNWU0dDx5TnQU9GKmVqPfeaSh7nkYS551JrLEIuvmJXlu++A\np5/moB9EVHWeeQb49lulU5C5qoorZq7tXZGfno/7f9837Y6IiCwI+5iVoW1b4H//Ax591CSbJyIq\nJiUFaNZMumLv6Gi6/bCPmToY+33o0QN4/XWgVy+jbbJE58adg2NTR/i/ZuJaIBFRNcI+ZhV06RJw\n5QrQtavSSYjIkvj4AB07Aps3K52EzNG1a6YdlbGQ5wBlmzMSEVU3Fl8xM9T+9KefgCefBGxsqi6P\n2plje10lsbzkYXn9a9QoYM0aw8uwvOhhQkh9zIzRlLGs48v9MXdkJWQhLzWv8juTSa3HPnPJw1zy\nMJc8as1liMVXzAz58UepfxkRUVV78kngyBGpWSOp27Rp09CsWTO0bt0aTz31FDIzM3Xz3n//fTRu\n3BhNmzbF7t27TZ4lMxOwsgJcq2AUe2sHa7g/5o707emm3xkRkQVgH7NSXLkChIZKX4psbY26aSKi\nchk2DHjsMeCFF0yzffYxM45ffvkFjz32GKysrDBz5kwAwMKFC3H69GmMGDECR48eRVJSEh5//HGc\nP38eVlb6v4ka83346y9g6NCqu0l5ypoU3Np0Cy03t6yaHRIRmTn2MauATZuAgQNZKSMi5TzxBLB9\nu9IpqCw9evTQVbY6dOiAa9euAQCioqIwfPhw2NraIiAgAIGBgYiLizNpFmMNlV9env09kbEvA/l3\n86tup0RE1ZTFV8xKa3/KZowlM8f2ukpiecnD8tLXuzewfz+Qm1vyfJaX+qxatQp9+/YFACQnJ8Ov\nSC3Jz88PSUlJJt2/MYfKL8/xZetui5qdayJ9R9U2Z1Trsc9c8jCXPMwlj1pzGcJhLUqQlAScPi01\nISIiUoqXF9C8OXDgANCzp9JpLFuPHj2QUkKHvwULFqB///4AgPfeew92dnYYMWJEqdvRaDQlPj9m\nzBgEBAQAANzc3BASEoKIiAgA/365KM/0tWtAfn4MYmLKt7yh6UJlLX+hxQX8sfwPjB06tlL7kzOd\nkJBg0u1Xt2mWF8uL5aXcdEJCAjIyMgAAiYmJMIR9zEqwYgVw6BBv8EpEyluwALhxA1i2zPjbZh8z\n41m9ejVWrlyJvXv3wt7eHoDUzwyArt9Z7969MW/ePHTo0EFvXWO+D88+C3TqBDz/vFE2Vy55qXk4\n0ugIOl3vBGtH66rbMRGRGWIfM5n27DH9jTmJiMqjXz+pnxnrT+oVHR2NDz74AFFRUbpKGQAMGDAA\n69evR15eHi5duoQLFy6gffv2Js1izKaM5WXnZQeXti5Ij+bojERElWHxFbPCS46FCgqAmBige3dF\n4qjew+VFhrG85GF5FdeqldTH7Pz54vNYXuowadIkZGVloUePHggNDcVLL70EAAgODsaQIUMQHByM\nPn36YPny5aU2ZTSWa9cAX1/jbEvO8VXr6Vq49dMt4+y4HNR67DOXPMwlD3PJo9ZchrCP2UMSEoBa\ntYx3YiMiqgyNBujbV7pq1qSJ0mmoJBcuXCh13uzZszF79uwqy5KcrMz5y2uQFy7NvgRtthbWDmzO\nSERUEexj9pAPPwQuXQI++8womyMiqrStW4GlS4G9e427XfYxUwdjvQ/Z2YC7u/TXxBfmSpTwWAJ8\nX/JFrf/UqvqdExGZCfYxk2HvXuDRR5VOQUT0r0cfBQ4fBnJylE5CapaSAvj4KFMpAwDvYd64uf6m\nMjsnIqoGLL5iVrT9aV4ecPAg8P8jXFIJzLG9rpJYXvKwvErm5AQ0awYcP67/PMuLirp+XaqYGYvc\n46vWf2ohfXc68u+Y/mbTaj32mUse5pKHueRRay5DLL5iVtTRo0BgIODpqXQSIqrOtm8H/v+WJjoZ\nGdLzpenUSbqNB1Fprl8H6tRRbv+2HrZw6+qG1C2pyoUgIjJj7GNWxPz5wN27wAcfGCEUEVEpMjKA\nN94A3nsPcHMrPl2S9euBH34ANm0yXg72MVMHY70Pn30GnDoFLF9uhFAVdGPtDdxYdwOttrdSLgQR\nkYqxj1k57dvH/mVEZHpublIl7I03gMTEsitlwL9XzFiPotIYuyljRXgO9ETm75l4kPZA2SBERGbI\n4itmhe1PtVrgjz+A8HBl86idObbXVRLLSx5LKi83N2DaNKBBA+mvoUoZIN002NpaGjW2kCWVF5XN\n2E0ZK3J82TjbwKOXh8nvaabWY5+55GEueZhLHrXmMsTiK2aFLlyQ7l9W1pcjIiJjyMiQmk1fuiT9\nfbjP2cM0GvYzI8NSUpTtY1bIe7g3bn7P0RmJiORiH7P/9/33wI8/Aj/9ZKRQRESlqEgfMwBYskT6\nEclYfYjYx0wdjPU+hIUBX34JtG1rhFCVoM3RIrZOLNqdaocadWsoG4aISGXYx6wc4uOlkxoRkakd\nPKhfCSvsc3bwoOH1wsOB2FjT5yPzpPSojIWs7a3hOdATN3/gVTMiIjksvmJW2P40Ph4IDVU2izkw\nx/a6SmJ5yWMp5dWvX/ErY25u0vOGhIYC588D9+5J05ZSXlQ2rRZITQW8vY23zcocX7WH18bNtaar\nmKn12GcueZhLHuaSR625DLH4ihkgjXJ2/DgrZkSkbjVqAI0aAWfPKp2E1ObWLcDdHbC1VTqJxP1x\nd+Qm5eLemXtKRyEiMhvsYwbgyhWgfXup4/T/sXfncVHV+x/HX8Mm7uOKCwooKOIGrvkzja7ikmnW\n7eZSN81re5otmmaLVkq23G6b3TJzqZvaZqYWqSktluICauICCi4oLgGKiiIwvz++ggsIHJiZc2bO\n5/l4+BjOMMvb7xwGPvPdhBDCyIYNg8GD4Z57Kv9YMsfMGOzxOsTHw+jRsG2bfTLZw75J+8ADWr7a\nUu8oQghhGDLHrAwyv0wI4SratIFdu/ROIYwmPV3/Pcyu1WhUI459egxbvhT/QghRHqYvzGJjY2UY\nowauOF5XT9Je2kh7le3KwkzaSxQ6fty+88ug8udX9bbVqdKkCplrMu0T6ApGPfcllzaSSxvJpY1R\nc5XG9IUZwJ9/QocOeqcQQoiySY+ZKMmJE/YvzOzBb5Qf6QtknoAQQpSHzDFD9ZbNmaP/3i9CCFGW\n8+fVCo7Z2ZVf6EHmmBmDPV6HSZOgbl2YPNlOoezk4l8X2dByAz0O9MCrtpfecYQQQncyx6wMqakQ\nFKR3CiGEKJuvL/j7Q3Ky3kmEkRi1x8y7njd1/laH41/KnmZCCFEW0xdmK1bEkpenPmkUZXPF8bp6\nkvbSxtXaa+VKyMq6+rqsLHW9IxUOZ3S19hKOc/w4NGhg38e01/nVaFQjji04ZpfHKmTUc19yaSO5\ntJFc2hg1V2lMX5gdPap6yywWvZMIIVxNz54wderl4iwrSx337OnY55V5ZuJaRu0xA6g7sC7n9pwj\nZ1+O3lGEEMLQTD/HbOlSmD8fli2zbyYhhDkUFmMTJ8Lrr8OMGWoOmCN99BFs3Ahz51bucWSOmTHY\n43UIDIS1a6FFC/tksrekCUl41fIi6CWZNyCEMDeZY1aKlBT1C00IISrCalVFWVCQunR0UQbQuLHa\nt0qIQkbuMQNoPKYx6fPSKcgr0DuKEEIYlukLs19/jZWFPzRwxfG6epL20sYV2ysrS/WUpaSoy2vn\nnDlCo0aqMHPF9hL2d/YsFBRA9er2fVx7nl81OtTAp6kPGTEZdnk8o577kksbyaWN5NLGqLlKY/rC\nLD1dVmQUQlRM4TDGGTNUz/uMGVfPOXOUxMQN7Nx5mgkT5tO//3OsXPmLY59QGFphb5nR50o3eaAJ\nR+cc1TuGEEIYlunnmLVrB//7H3TsaOdQQgi3t3KlWujjyuGLWVmwfj0MGuSo5/yF8ePXsH//S0XX\ntWw5lbff7s+gQb01PZbMMTOGyr4OmzbBww/D5s12DOUA+Wfz+aPZH3Td0ZUqTavoHUcIIXQhc8xK\nceyYmq8hhBBaDRpUfE6Z1eq4ogzgnXdWXVWUAezbN4N3313tuCcVhuaIpfIdwbO6Jw2HNeToJ9Jr\nJoQQJTF1YWazQUZGLLVr653EdbjieF09SXtpI+1VtgsXvK44ii366vx5T6dnEcrzzz9Px44dCQ8P\np0+fPhw6dKjoe9HR0YSEhBAaGsqqVasc8vyOWvjDET+PjR9ozNGPj2LLr1xPrVHfKySXNpJLG8ml\njVFzlcbUhdm5c+DlBVVkRIUQwkVUqZJX4vW+vvlOTiIKTZo0iW3btpGQkMDQoUOZPn06AImJiSxZ\nsoTExERiYmJ45JFHKCiw/6qErtJjBlAzoiY+DX3IWG2fRUCEEMKdmHqOWVoadOumLoUQwhWsXPkL\nY8cuID39MeAAsJlGjY7w8cejZY6ZAURHR3Pq1CleffVVoqOj8fDw4JlnngFgwIABTJs2jRtuuOGq\n+1T2dZg4URVmkyZVKrrTHPnoCBkxGbT7pp3eUYQQwulKe8/3KvHaK2RkFP9Uq2bNmnh7e1c+mc4y\nM52z55AQQthXbSDi0r+hwJP6xhFMnTqVTz/9lKpVqxIXFwfAkSNHrirC/P39SXPAJ4HHj0NYmN0f\n1mEajmjI/mf2c+HoBao0liErQghRqMyhjJ06daJ+/fqEhIQQEhJC/fr1CQgIoFOnTmzZssUZGR0m\nKwsslli9Y7gUVxyvqydpL22kvcr2zjurSE//96WjWADS0/8ti3+UYsGCBeX6t3Dhwus+RlRUFO3b\nty/2b/ny5QDMmDGDgwcPct999zFhwoTrPo7FAWvanzjhmKGMjvp59KrpRYN/NODo3IovAmLU9wrJ\npY3k0kZyaWPUXKUps8csKiqKO++8k/79+wOwatUqvvrqK+677z4efvjhok8GXVFWFtSooXcKIYQo\nv6sX/7hMFv+4vpSUlEoXRKtXl6/wHTlyJLfccgsATZs2vWohkMOHD9O0adMS7zd69GgCAwMBsFqt\nhIeHExkZCVz+4+J6xykpsRw8CFC+25f3uJC9Hu/K45xuOdSeVpvmzzTnl/W/aL5/QkKCXfO4+7G0\nl7SXtJd+xwkJCWRd2uA0NTWV0pQ5x6xdu3b8+eefV13Xvn17duzYQXh4OAkJCaU+gTNUdHz+Z59B\nTIy6FEIIV9C//3OsWvVKCdc/T0zMy5oeS+aY2UdSUhIhISEAvPvuu8TFxfHpp5+SmJjIyJEjiYuL\nIy0tjb59+5KcnFysSKzs6xASovbUa9WqUv8Np4vvHU/TcU1p+A8HLCkphBAGVak5Zo0bN2bWrFkM\nHz4cm83GF198gZ+fH/n5+Xh4uPaijllZMsdMCOFaxo/vx759U9m3b0bRdS1bPsu4cQN0TOUaTp06\nxe+//05qaioeHh4EBATQo0cPaldyz5QpU6awZ88ePD09admyJR988AEAYWFh3HXXXYSFheHl5cXs\n2bMdMpQxIwPq1rX7wzpc08eakvZemhRmQghxSZmV1eeff86hQ4cYOnQot99+OwcPHmTRokXk5+fz\nxRdfOCOjw5w6BZmZsXrHcCmFXbSifKS9tJH2KtugQb15++3+tG//FVbrXPr3f5633x6geUVGM/n1\n118ZMmQIvXr1YvHixRw8eJCUlBQWLVpEr169GDJkCL/99luFH/+rr75ix44dJCQk8PXXX9Pwik3F\nnn32WZKTk9m9e3fRlAB7KihQv8sc8SGjo38e699en5zkHM5sP6P5vkZ9r5Bc2kgubSSXNkbNVZoy\ne8waNGjAe++9V+L3goODK/XkMTExTJgwgfz8fMaOHVu0pPCVxo8fzw8//EC1atWYP38+ERERlXrO\nKxUUgIt3+gkhTGjQoN7k5MC778YSE/MvveMY3tKlS3nzzTeLhhtea+/evfz3v//lxhtvdHKyyjt1\nSs2V9irzt7nxeHh70OShJqS9m0brOa31jiOEELorc47Z8ePHee2110hMTCQnJ0fdyWJh7dq1lXri\n/Px8WrduzZo1a2jatCldu3Zl0aJFtGnTpug233//Pe+99x7ff/89Gzdu5PHHH2fDhg3F/xMVHJ//\n8suQm6suhRCiNCtXQs+eV/dMZGXB+vUwaJCzs/zC888f4MCB7nTpspDx4/tVqMfMLHPM/vOf/zBh\nwgTWr19Pz5499Y5TTGVeh337ICoK9u+3cygnyT2WS1xoHN33dce7rutvwyOEEGUp7T2/zP6iu+++\nm9DQUPbv38+0adMIDAykS5culQ4VFxdHcHAwgYGBeHt7M3z4cJYtW3bVbb777jtGjRoFQPfu3cnK\nyuLYsWOVfm4hhNCqZ0+YOlUVY6Aup05V1zvTypW/8PjjPxIf/08yMlqxatUrPP74j6xc+Ytzg7iQ\nefPmAfDYY4/pnMT+MjKgXj29U1Scj58P9W6tx9FPKr50vhBCuIsyC7O//vqLsWPH4uPjw0033cS8\nefMq3VsGkJaWRrNmzYqOS9p4s6TbHD58uNLPfaXU1Fi7Pp67c8XxunqS9tLGyO1ltcKMGaoYS01V\nlzNmOH8BoXfeWXXFwh+xAOzbN0P2MStFWFgYISEh7Nmzp9g+ZB06dNA7XqU4cuEPZ/08Nn2sKUfe\nP4Itv/y9hkZ9r5Bc2kgubSSXNkbNVZoyR6X7+PgA0KhRI1asWEGTJk3IzMys9BOXd2Wqa7v6rne/\niuwBY+89X+RYjuXYvY+tVujVK5agIEhJUcfOznPs2GFUQaaOC4uzwn3MSrt/bGws8+fPByh6vzSD\nRYsWkZ6eTr9+/Vi+fLlbDd901RUZr1Srey28G3jz14q/qH9bfb3jCCGEbsqcY7Z8+XJ69erFoUOH\nGDduHKdPn2batGkMGTKkUk+8YcMGpk2bRkxMDADR0dF4eHhctQDIQw89RGRkJMOHDwcgNDSUn3/+\nGT8/v6v/EzLHTAjhBIXDFydOhNdf16fHTPYxcz+VeR3efx8SE9WlKzu2+BhHZh8h4hf7LfAlhBBG\nVKk5ZoMHD8ZqtdK+fXtiY2PZunVrpYsygC5dupCUlERqaiq5ubksWbKk2OMOGTKEhQsXAqqQs1qt\nxYoyIYRwhsKibMYMCAy8PKyxcM6Zs4wf34+WLadedZ3axyzKuUFcyKBBg/jyyy85d+5cse+dPXuW\nJUuWcMstt+iQrPLcoccMoMGdDTh/4Dyn407rHUUIIXRTZmG2f/9+nnjiCW6//XYGDx7M4MGD7VKY\neXl58d5779G/f3/CwsIYNmwYbdq04cMPP+TDDz8E4JZbbqFFixYEBwfz4IMPMnv27Eo/77Vkjpk2\nhcOiRPlIe2lj5PZav/7qHrLCOWfr1zs3R+E+ZhER/6NmzYWyj1k5zJs3jx07dtClSxfat29Pv379\niIqKon379nTp0oVdu3axYMECvWNWiDvMMQPw8PLAf4I/h948VK7bG/W9QnJpI7m0kVzaGDVXacqc\nYzZ06FDGjh3L4MGD8fBQdVx554eVZeDAgQwcOPCq6x588MGrjq+3h5oQQjhTSUviW63OXypfZenN\n2bPw/vuxxMTc6/wALqZhw4a89NJLvPTSS6Snp3PgwAEAAgICaNSokc7pKicjA8LD9U5hH43/1ZgD\nrxwgJzWHqoFV9Y4jhBBOV+Ycs27duhEXF+esPBVS0fH50dFqc85XX3VAKCGEcJCVK39h8uTjHD8e\nQnj4l7KPmYurzOsweDA88IC6dAf7Ju2jILeAkP+UvBm4EEK4utLe88vsMRs3bhzTpk2jf//+VKlS\npej6Tp062S+hTqxWuPTBqRBCuITCfcwKl8xftaoj+/apOWcynLFkNWrUKBrpce0vRIvFwunTrjuv\nyV3mmBVqOr4pmztsJvDFQLzryIbTQghzKXOO2c6dO5kzZw6TJ0/mqaeeKvrnDqxW2Ls3Vu8YLsUV\nx+vqSdpLG2mvssk+ZtqdOXOG7OxssrOzadmyZdHX2dnZLl2UgfvMMSvk6+9LvUH1OPpR6RtOG/W9\nQnJpI7m0kVzaGDVXacrsMfvyyy9JSUkp2s/MnVitcOaM3imEEKL8Llwo+W27cB8zYS7u1mMG4P+U\nPzsG7cD/CX88fMr8/FgIIdxGmXPMhg4dyocffmjoZeorOj7/jz/giSdgwwYHhBJCCAeQfcwqJyIi\ngvj4eL1jXKWir4PNBj4+cPasunQn2/pto+HwhjQe01jvKEIIYVeVmmOWmZlJaGgoXbt2LZpjZrFY\n+O677+ybUgd16kBmpt4phBCi/MaP78e+fVOvGM5YuI/ZAB1TGdvXX39d9Ivw1KlTfPPNN0W/FC0W\nC3fccYfOCSvmzBnw9XW/ogyg+bPN2fvAXhqNaoTF0z4rQQshhNGVOUZg+vTpLF26lGeffbZoftmT\nTz7pjGwOZ7XC8eOxesdwKa44XldP0l7aSHuVbdCg3txzT1N8fNbj4/Mk9eoN4557/GXhj1IsX76c\n5cuXs2LFCnr37l309YoVK1i+fLne8SrM0cMY9fx5tN5kxbuBNye+OlHi9436XiG5tJFc2kgubYya\nqzRl9phFRkY6IYY+CueY2Wxgp63ZhBDCoVau/IXPPksjN/cR4CJ//RXJZ59NpWvXX6Q4u47p06eX\n+v2DBw8Wfd28eXNHx7GbjAw18sMdWSwWAp4NYP+z+2lwVwO77Z8qhBBGdt05ZlcuL1zsTgZbXrgy\n8yR8fdVwxqqyl6UQwgXIHDPtbr755nLfdt26dQ5MUrKKvg6xsfDii/Dzz/bPZAQ2m43NEZsJeiWI\n+rfW1zuOEELYRYXmmJ0xyXKFhfPMpDATQrgCWZVROz2KLWc4dQpq19Y7heMU9podnHGQeoPqSa+Z\nEMLtmX4d2ho1YklL0zuF63DF8bp6kvbSRtqrbFWq5F1xFFv0la9vvtOzCH05ujAzws9jg7834GLG\nRbJis6663gjZSiK5tJFc2kgubYyaqzSmL8waN4aUFL1TCCFc0cqVkHX134tkZanrHWX8+H40b/7G\nVdepVRmjHPekwpDcvccMwOJpofnk5hyYcUDvKEII4XBl7mPmCiozT+Lpp6FBA3jmGTuHEkK4vaws\nmDoVZsxQiwlde+wob7wRzyuv1Cc8fC6+vvmMGxdVoYU/zDLHzOgq+jq88grk5KjzzZ0V5BawsdVG\nwv4XRu2ebl6JCiHcXqX2MXN3gYGwc6feKYQQrshqVX8UT50KEyfC6687vigDaNEigshI+PbbaY59\nImFop06pDxbdnYePBwHPBZDyYgrha8L1jiOEEA5j+qGM2dmxMpRRA1ccr6snaS9tXLG9rFZVlAUF\nqUtHF2UAR46oYdiu2F7Cfswwx6xQo1GNOL//PFm/qLHDRsp2JcmljeTSRnJpY9RcpTF9YSZzzIQQ\nlZGVpXrKUlLU5bVzzhxh714ICXH88whjM8Mcs0Ie3h4EvBBA6oupekcRQgiHMf0cs7NnoX59delh\n+jJVCKGFXnPMoqLgySdh4MDKPY7MMTOGir4OAwbA449X/jxwFQV5BWxqs4lWH7Wizs1uurO2EMLt\nlfaeb/pSpHp1qFUL0tP1TiKEcDXr119dhBXOOVu/3rHPu2sXtGnj2OcQxmemHjMAD6/LvWbygYIQ\nwh2ZvjCLjY0lKEiGM5aXK47X1ZO0lzau1l6DBhXvGbNa1fWOcvo0ZGZC8+au117u7s0338TDw4OM\njIyi66KjowkJCSE0NJRVq1bZ9fnMNMesUMMRDck9nsvyfy/XO0qJjNhmILm0klzaSC77MX1hBtCi\nBSQn651CCCHKtns3tG4tQ6+N5tChQ6xevZqAgICi6xITE1myZAmJiYnExMTwyCOPUFBQYLfnNFuP\nGahes8AXAkmfmy69ZkIIt2P6OWYAs2apoYxvvWXHUEII4QALFsCPP8Lnn1f+sWSOmf384x//4Pnn\nn+e2225jy5Yt1K1bl+joaDw8PHjm0kaZAwYMYNq0adxwww1X3beir0ONGnD0KNSsaZf/gsuw5dvY\nHLGZoFeCqD+kvt5xhBBCE5ljVoZOnSA+Xu8UQghRNplfZjzLli3D39+fDh06XHX9kSNH8Pf3Lzr2\n9/cnLS3NLs+Zlwfnz6vizGwsnhZaRLdg/7P7seXLBwtCCPdh+g2mY2NjiYiIJCEBCgpkeFBZYmNj\niYyM1DuGy5D20kbaq2y7dsE//6m+lvZynqioKNJLWCVqxowZREdHXzV/rLTeL4vFUuL1o0ePJjAw\nEACr1Up4eHjRa1s4T+LK49OnoWbNSCyWkr9vj+PC6xz1+JU5jt8bT2SdSI59dozdAbt1z1N4fG3b\n6Z2n8DghIYEJEyYYJk/hsbSXtJcZ2ishIYGsS3vppKamUiqbG6jMf2PdunU2m81m8/e32ZKT7RTI\njRW2lygfaS9tpL3KFhJis/35p/q6su3lJr8CdLVjxw5bw4YNbYGBgbbAwECbl5eXLSAgwJaenm6L\njo62RUdHF922f//+tg0bNhR7jIq8DikpNltAQCWCl4ORfx7XrVtny/oty/Z7899teTl5escpYtQ2\nk1zaSC5tJJc2pb3nyxyzS4YMgXvvhTvvtFMoIYSws+xsaNRIrcro41P5x5M5ZvYXFBRUNMcsMTGR\nkSNHEhcXR1paGn379iU5OblYr1lFXocdO2DkSHVpZjuG7MB6s5VmTzTTO4oQQpSLzDErB5lnJoQw\nurg4iIiwT1EmHOPKoissLIy77rqLsLAwBg4cyOzZs687lFGrM2fMOb/sWkEzgzj46kHyTufpHUUI\nISrN9IVZ4VjQiAjYulXfLK7gyvG6omzSXtqYpb1WroRLw82LZGWp60vz++/wf/93+dgs7eVK9u/f\nT926dYuOn332WZKTk9m9ezf9+/e32/NkZzt+NUYjn1+F2Wq0q0HdAXU59PohfQNdYtQ2k1za/irh\n7AAAIABJREFUSC5tJJf9mL4wKxQRIT1mQgjn6NkTpk69XJxlZanjnj1Lv9+1hZkwL+kxuyzo5SDS\nZqdxIe2C3lGEEKJSZI7ZJTYbNGgA27dDkyZ2CiaEENdRWIxNnAivvw4zZoDVev3bFxRAvXpqg2k/\nP/tkkDlmxlCR12HhQlizRl0K2D91PxfSLtBmvuwlIYQwNpljVg4WC/ToAb/9pncSIYQZWK2qKAsK\nUpelFWWgCrJ69exXlAnXJj1mV2s+uTmZP2aSvSVb7yhCCFFhpi/Mrhx/+re/wU8/6ZfFFbjieF09\nSXtpY6b2yspSPWUpKery2jln1yppGKOZ2ktcLTvb8YWZkc+va7N51fQicHogyU8l69oLbNQ2k1za\nSC5tJJf9mL4wu1KfPrB2rd4phBDurnAY44wZEBioLq+cc1aSP/5QvfpCgOoxc/TiH66m0ZhG5P2V\nx8llJ/WOIoQQFSJzzK5QUKCGCW3ZAs2b2yGYEEKUYOVKtdDHlcMXs7Jg/XoYNKjk+7RpA4sXQ8eO\n9sshc8yMoSKvwxNPqN9TTzzhoFAuKmNVBkmPJtF1Z1c8fOSzZyGE8cgcs3Ly8FDDGaXXTAjhSIMG\nFZ9TZrVevyg7eRKOHIF27RyfTbgGmWNWsrr96lI1pCpp76fpHUUIITQzfWF27fhTKcxK54rjdfUk\n7aWNtFfJYmLUUGtPz6uvl/YyL5ljFnvd77X8d0sOzjxI7rFc5wW6xKhtJrm0kVzaSC77MX1hdq0+\nfdQCIDK6RwhhFCtWXL83TZiT9JhdX/XQ6viN8mP/lP16RxFCCE1kjtk1bDYICIDVq6F1a7s8pBBC\nVFheHjRsCDt3QuPG9n1smWNmDBV5HSIjYdo0dSmKyzudR1xoHO2WtqNW91p6xxFCiCIyx0wDi+Vy\nr5kQQujt99/VXmf2LsqEa5Mes9J51fKixastSBqXhK1APnwQQrgG0xdmJY0/jYqCH35wfhZX4Irj\ndfUk7aWNtFdxK1defxijtJd5yRyz2DJv43ePHxYvC+nz0h0f6BKjtpnk0kZyaSO57Mf0hVlJBg2C\nn3+GU6f0TiKEMDuZXyZKIj1mZbN4WAh5L4T9U/dzMfOi3nGEEKJMMsfsOgYPhuHD4e677fqwQghR\nbqmp0K0bpKer7TzsTeaYGUNFXofateHAgeLbLoji9jy0B4unhVbvt9I7ihBCyByzirjzTvjqK71T\nCCHMbOVKGDjQMUWZcF02m/SYadEiugUnvznJ6bjTekcRQohSmf7X/fXGnw4ZohYAyc52bh6jc8Xx\nunqS9tJG2utqZQ1jlPYyp5wc8PEBLy/HPo+Rzy8t2bzreNPi9RbsfXAvBXkFjguFcdtMcmkjubSR\nXPZj+sLseurUgZ494fvv9U4ihDCjEyfUiowDB+qdRBjNmTNQvbreKVyL391+eNX1Iu29NL2jCCHE\ndckcs1LMnQsxMfDll3Z/aCGEKNW778KGDfC//znuOWSOmTFofR1SU+Gmm9QcM1F+5/acY2vPrXRJ\n6IKvv6/ecYQQJiVzzCrotttg1So4e1bvJEIIs/n0U/jnP/VOIYwoJweqVtU7heup1roaTR9rSvLj\nyXpHEUKIEpm+MCtt/Gn9+mpFtJgY5+UxOlccr6snaS9tpL2UPXvg0CHo27f020l7mZOzCjMjn18V\nzdZ8cnPO7jjLyWUn7RvoEqO2meTSRnJpI7nsx/SFWVn+8Q/4/HO9UwghzOTTT2HkSMcv7iBck/SY\nVZynryet57Rm76N7uZgle5sJIYxF5piV4dQpCAiA3buhUSOHPIUQQhQpKIAWLeDbbyE83LHPJXPM\njEHr67BmDcycCWvXOjCUm9v78F5s+TZaf9Ra7yhCCJOROWaVULu22tNs3jy9kwghzOC336BmTejY\nUe8kwqikx6zyWsxqQcYPGWSuzdQ7ihBCFDF9YVae8acPPABz5qhPss3OFcfr6knaSxtpLzWM8d57\nwWIp+7bSXuYkc8wqn82rlhchs0PYc/8e8s/l2ycUxm0zyaWN5NJGctmP6Quz8ujaVfWcrVmjdxIh\nhDvLyYFvvlHzy4S4nvPnpcfMHuoPrk+t7rVIeSFF7yhCCAHIHLNy++AD+Okn+Oorhz6NEMLE5s6F\npUthxQrnPJ/MMTMGra/Dhx/Cli3w0UcODGUSuSdy2dR+E+2WtqN2j9p6xxFCmIDMMbODu+9WhVl6\nut5JhBDuyGaD//wHJkzQO4nQatq0afj7+xMREUFERAQ//PBD0feio6MJCQkhNDSUVatW2eX5ZI6Z\n/fg08CHkvRB2j9pt1yGNQghREaYvzMo7/rRWLVkEBFxzvK6epL20MXN7rV2rirM+fcp/HzO3l5FY\nLBaefPJJ4uPjiY+PZ+DAgQAkJiayZMkSEhMTiYmJ4ZFHHqHADpOVZY6ZfbM1vLMhNbvUZP+z+yv9\nWEZtM8mljeTSRnLZj+kLMy1kERAhhKMU9paVZ9EPYTwlDUtZtmwZI0aMwNvbm8DAQIKDg4mLi6v0\nc0mPmf2FvBfCiS9PkBkrqzQKIfQjc8w0sNmgSxeYPh1uvdXhTyeEMImkJOjZEw4ccO4f3DLHzD6m\nT5/OvHnzqF27Nl26dOHNN9/EarUybtw4brjhBu6++24Axo4dy8CBA/n73/9+1f21vg4TJ0KDBjBp\nkl3/G6Z3csVJkscl02V7F7xqyu7uQgjHKO09X955NLBY1C/CmTNh0CD5ZFsIYR/vvKN65KUXxLii\noqJIL2GS8YwZM3j44Yd54YUXAHj++ed56qmnmDt3bomPY7nOL47Ro0cTGBgIgNVqJTw8nMjISODy\ncJzC4+TkWC5cACj5+3JcweNbIzm59CSfj/yc5k811z+PHMuxHLvFcUJCAllZWQCkpqZSKpsbqMx/\nY926dZpun5dnswUH22yxsRV+Spemtb3MTtpLGzO2V2amzVanjs2Wlqb9vpVtLzf5FWAoKSkptnbt\n2tlsNpstOjraFh0dXfS9/v372zZs2FDsPlpfhzFjbLY5cyqXszyM/PPoqGwXsy7a/gj8w3Zi+YkK\n3d+obSa5tJFc2kgubUp7z5c5Zhp5esLkyarXTAghKmvuXLjlFmjSRO8koqKOHj1a9PXSpUtp3749\nAEOGDGHx4sXk5uaSkpJCUlIS3bp1q/Tz5eSAr2+lH0aUwKu2F6ELQ9l7/15yj+XqHUcIYTIyx6wC\ncnOhZUu131CXLk57WiGEm7l4EUJC1P6IeryXyBwz+7j33ntJSEjAYrEQFBTEhx9+iJ+fHwAzZ87k\nk08+wcvLi7fffpv+/fsXu7/W1+H22+Gee+CaqWrCjvY/t58z8Wdov6L9dYefCiFERZT2ni+FWQW9\n/Tb88gt8/bVTn1YI4UbmzIElS2DNGn2eXwozY9D6OgwYAOPHq55W4RgFFwuI7xlPo1GNaPpoU73j\nCCHciGwwXYrCSXpajR0Lv/0Gu3bZN4/RVbS9zEraSxsztdf58/DyyzBjRsUfw0ztJS47f172MXN0\nNg9vD9p81obUaamcTTxb7vsZtc0klzaSSxvJZT+mL8wqqnp1GDcOZs3SO4kQwhXNmQPh4dC9u95J\nhKuRfcyco1qragRFB5E4IpH88/l6xxFCmIAMZayEzEwIDoYtW+DSKsdCCFGmc+fUe8f336viTC8y\nlNEYtL4OHTrAp59Cx44ODCUAtXF44rBEvBt40+r9VnrHEUK4ARnK6CB16sDDD8O0aXonEUK4kvff\nhxtv1LcoE65Lesycx2Kx0HpOazJ+yODE1yf0jiOEcHOmL8wqO/500iT48UeIj7dPHqNzxfG6epL2\n0sYM7XX6NLzxBkyfXvnHMkN7ieKcVZgZ+fxyZjav2l6ELQ5j78N7yUnNKfW2Rm0zyaWN5NJGctmP\nLoVZRkYGUVFRtGrVin79+hXthn2twMBAOnToQEREhF32fnGEWrXgxRfhqadARgQJIcry9tvQvz+0\naaN3EuGqpMfM+Wp1q0WzSc3YNWIXBRcL9I4jhHBTuswxmzRpEvXr12fSpEnMmjWLzMxMXn311WK3\nCwoKYsuWLdStW7fUx9N7nkRenhrz/9prcOutusUQQhhcRga0agUbN6q9EPWm93unULS+DtWqwYkT\nahEq4Ty2Ahs7bt1B9XbVafmaAX6AhRAuyXBzzL777jtGjRoFwKhRo/j222+ve1tX+KPBywtefx0m\nTlRFmhBClGTGDLUpsBGKMuGabDa1XL6vr95JzMfiYSF0YSjHlxzn5LKTescRQrghXQqzY8eO4efn\nB4Cfnx/Hjh0r8XYWi4W+ffvSpUsX5syZ45As9hp/esst0KSJWgLbnbnieF09SXtp487ttXOnWknv\nlVfs95ju3F6iZBcuqA8DPT0d/1xGPr/0yuZT34e2X7Rlz/17yNlXfL6ZUdtMcmkjubSRXPbj5agH\njoqKIj09vdj1M67ZTdVisWCxWEp8jPXr19O4cWNOnDhBVFQUoaGh9OrVq8Tbjh49msBLa9ZbrVbC\nw8OJjIwELr8wjj5+881IBgyA5s1jqV7d8c8nx3Isx65xbLPBSy9F8uKLsHOnfnliY2OZP38+QNH7\npXAtztpcWlxfre61CHghgJ137iTi9wg8qzqhShZCmIIuc8xCQ0OJjY2lUaNGHD16lJtvvpndu3eX\nep/p06dTo0YNnnrqqWLfM9I8idGjoWlTNWRJCCEAFi1Sw503bXJOT0d5Gem908y0vA7Hj0O7dupS\n6Mdms7Fr5C48qnsQ+nGo3nGEEC7EcHPMhgwZwoIFCwBYsGABQ4cOLXabc+fOkZ2dDcDZs2dZtWoV\n7du3d2rOinjlFfjwQ9i3T+8kQggjyM5W80/ff99YRZlwTbm54OOjdwphsVhoNacVp38/zdG5R/WO\nI4RwE7oUZpMnT2b16tW0atWKtWvXMnnyZACOHDnCoEGDAEhPT6dXr16Eh4fTvXt3br31Vvr162f3\nLIXDfOzF3x8mT4YHH3TP5fPt3V7uTtpLG3dsr5degqgo6NHD/o/tju0lSufMwszI55cRsnnV8KLt\nN23ZP2U/pzeeBoyRqySSSxvJpY3ksh+HzTErTd26dVmzZk2x65s0acLKlSsBaNGiBQkJCc6OZhcT\nJsDixTB/Ptx3n95phBB6SUxU7wM7d+qdRLgL6TEzluqh1Wn9cWt23rmTTps66R1HCOHidJljZm9G\nnCeRkAD9+sH27dCokd5phBDOZrNBnz5wxx3w2GN6pymZEd87zUjL67B9O9xzj7oUxpEyLYXMNZmE\nrw3Hw0eXwUhCCBdhuDlmZhAeDv/6F4wfr3cSIYQePv9cbSj90EN6JxHuRHrMjCnwhUC863qT/ESy\n3lGEEC7M9IWZI8efvvCC6jlbtsxhT+F0rjheV0/SXtq4S3ulpcETT8DcuWrPKUdxl/YS5SdzzBSj\nZbN4WGjzaRvWLF/DkQ+P6B2nGKO1VyHJpY3k0saouUpj+sLMkapWVRtOP/YYnDqldxohhDPYbDBm\nDIwbB507651GuBvpMTMur9petJjZgpQXUshYk6F3HCGEC5I5Zk7w4IPg4QEffKB3EiGEo82eDQsW\nwPr1ju0tswejv3eahZbXYdUqeOMNdSmMKevnLHb+YyfhP4dTvU11veMIIQxG5pjpbNYsWL4c1q7V\nO4kQwpGSkuDFF2HhQuMXZcI1SY+Z8VlvstLitRbsuHUHuSdz9Y4jhHAhpi/MnDH+1GqFTz6Be++F\nEycc/nQO5YrjdfUk7aWNK7dXXp76GX/xRWjd2jnP6crtJSpG5pgpRs1WmKvx6MY0HNaQnbfvpOBC\ngb6hMH57GY3k0kZy2Y/pCzNn6dcP/vlPGDUKCvR/jxZC2NmsWVCjBjzyiN5JhDuTHjPXEfRKED6N\nfNgzdo8MGRZClIvMMXOiixfhppvUvkZPP613GiGEvcTHQ//+sGULNGumd5ryc5X3Tnen5XVYuBDW\nrFGXwvjyz+WTEJlAvSH1CHwuUO84QggDkDlmBuHtrfY2eu01iIvTO40Qwh7OnIG774Z//9u1ijLh\nmqTHzLV4VvOk3bJ2HJ1zlONfHNc7jhDC4ExfmDl7/GlgoFqdcfhw11xC3xXH6+pJ2ksbV2svm01t\nJN+jhyrOnM3V2ktUnswxU4yaraRcVRpXof137Ul6LInTG087PxSu1V5GILm0kVz2Y/rCTA9//zsM\nGAD336/+sBNCuKa33oJ9++D998Fi0TuNMAPpMXNNNTrWoPUnrfnz9j85l3xO7zhCCIOSOWY6OX8e\nuneHRx+FBx7QO40QQqvYWNXzvXEjBATonaZiXPG906jeffddZs+ejaenJ4MGDWLWrFkAREdH88kn\nn+Dp6ck777xDv379it1Xy+vw2mtw8qS6FK7nyEdHODjrIBG/RVClcRW94wghdFDae77stKMTX19Y\nsgR69YKICOjaVe9EQojyOnwYRoyATz913aJM2M+6dev47rvv2L59O97e3py4tC9KYmIiS5YsITEx\nkbS0NPr27cvevXvx8Kj4YBXpMXNtTR5oQu7xXLYP3E54bDjeVm+9IwkhDMT0Qxn1HH8aGgpz5sDt\nt6s/9FyBK47X1ZO0lzau0F4XLqjhyI8/DlFR+mZxhfYygw8++IApU6bg7a3+yG7QoAEAy5YtY8SI\nEXh7exMYGEhwcDBxlVz5SeaYKUbNVp5cAVMDsPa28udtf5Kfk+/4ULh2e+lBcmkjuezH9IWZ3oYO\nhXHjYMgQOHtW7zRCiLI8/jg0bQrPPKN3EmEUSUlJ/PLLL9xwww1ERkayefNmAI4cOYK/v3/R7fz9\n/UlLS6vUc+XmqhV+heuyWCwE/yeYKk2rkDgikYI82dxUCKGYfihjZGSk3hGYNAl27YJ77oGvv4ZK\njHJxOCO0lyuR9tLG6O31ySdqbllcnDEW+zB6e7mTqKgo0tPTi10/Y8YM8vLyyMzMZMOGDWzatIm7\n7rqL/fv3l/g4luucOKNHjyYwMBAAq9VKeHh40etb+KlvZGQkFy/CwYOxxMZS4vfNdFzIKHkiIyOJ\njIws9+17z+/NjsE7+GzIZzSb2Iybb77ZofkKuWp7yfkl7aX12CjtlZCQQFZWFgCpqamURhb/MIgL\nF9SwqJ49ITpa7zRCiGv99JOaVxYbC2FheqexD3d47zSCgQMHMnnyZG666SYAgoOD2bBhAx9//DEA\nkydPBmDAgAFMnz6d7t27X3V/La/DhAlqXuMTT9jxPyB0k3cmj219tlGnTx1azGyhdxwhhBPIBtOl\nuLbS10uVKvDNN/DFF7Bggd5prs8o7eUqpL20MWp7JSSoFRi/+MJYRZlR28tshg4dytq1awHYu3cv\nubm51K9fnyFDhrB48WJyc3NJSUkhKSmJbt26Veq58vPBy0ljXYx8fhk1m9ZcXjW8aL+yPSeXnuTQ\nW4ccEwr3aS9nkVzaSC77Mf1QRiOpXx+WL4fISGjZEm68Ue9EQojUVBg0SO1VJiMHRUnGjBnDmDFj\naN++PT4+PixcuBCAsLAw7rrrLsLCwvDy8mL27NnXHcpYXnl54Olpj9TCKHzq+9Dhxw7E3xiPdz1v\nGt3bSO9IQgidyFBGA4qJgfvug19/heBgvdMIYV5//aWGFz/yCIwfr3ca+3O3905XpeV1eOAB6NwZ\nHnzQwaGE053ddZZtfbbR8t8t8Rvup3ccIYSDyFBGFzNgALz8MvTtCwcP6p1GCHM6dw5uvRVuu809\nizLhmpw5lFE4V/U21enwYweSJyRz/KvjescRQujA9IWZUcefjh2rJnn36QNHj+qd5jKjtpdRSXtp\nY5T2ystTC30EBxt7MR6jtJdwHmcOZTTy+WXUbJXNVaN9DTrEdCDpsSROLjtpn1C4b3s5iuTSRnLZ\nj3zuZmATJsCZM2q1xp9/hnr19E4khPuz2eDRR+H8efjyS2NvXyHMJz9f5pi5u5rhNemwsgPbb9kO\nnlD/1vp6RxJCOInMMTM4mw2mTIE1a9Ry3bVr651ICPdls6l9BdeuVcvi16ypdyLHcuf3Tlei5XUY\nMQKGDFGXwr2djjvNjlt3ELowlHoD5JNZIdyFzDFzYRaLGkp1ww1qZbizZ/VOJIR7stngySdh3TpY\nvdr9izLhmmRVRvOo1a0W7Za1Y/e9u8lYnaF3HCGEE5i+MHOF8acWC7zzDoSEwNChaoiVXlyhvYxE\n2ksbvdrLZlMLfPz+u+qdrltXlxiayfllDjk56vfAyZPOHcpo5PPLqNnsnat2j9q0/aYtu+7eReba\nzAo/jlnay14klzaSy35MX5i5Cg8P+Phj9QfjP/6hb3EmhDspKFDL4W/eDKtWgdWqdyIhrrZ6tbrc\nvFlWZTQj641W2n7ZlsRhiWSuq3hxJoQwPplj5mIuXoR77oETJ+Dbb6FWLb0TCeG6CgrUflC7dsH3\n35vv58lM751GVtbr8Mor8Pzz6vKPP+Chh9RWDsJcMmMzSbwrkdB5odQbJHPOhHBVMsfMjXh7w+ef\nQ6tW8Le/qQJNCKFdfj7861+wd6/a1N1sRZlwHWlp6j0/PV3mmJlZncg6tF/ent1jdnP8S9nnTAh3\nZPrCzBXHn3p6wgcfqI2oe/Vy7ibUrtheepL20sZZ7ZWXB/fdBwcOqJ6yGjWc8rR2J+eXORw5Am3a\nwOnTzh3KaOTzy6jZHJ2rVvdadFzVkeTHkzk6v/ybnJq1vSpKcmkjuezH9IWZq7JY1LCWBx9Uxdnu\n3XonEsI1nDkDt90Gx4/DihVQvbreiYS47K+/VPF1pWsLM+kxM7caHWsQvi6c1BdSSXs/Te84Qgg7\nkjlmbmDhQnjmGfjuO+jaVe80QhjXkSNqbk7nzjB7thoabGZmf+80isLXITcXqlRRG5y/997l7/v7\nqw/iPv1UzTN++WW46abyPfbBgwcZO3Yshw8fxmKx8P333xMQEADA1KlT+eqrr/D09OThhx9m3Lhx\nxe4fGBjI1q1bqVu3Lp6ennTo0AGbzYanpyfvvfcePXr0sEcTiArISclhW99tNL6/MQGTA/SOI4Qo\np9J+98raTm7g3nvVSnKDBsGiRdCnj96JhDCeHTtUUfbQQzB5sup1FsJI1q9Xcx1XrLi6MMvMhIAA\n1WPm46NtKOO9997L888/T58+fTh37hyWSyf+vHnzSEtLY8+ePQCcuM6EZcsVPyjVqlUjPj4egFWr\nVjFlyhSXHCrkLqoGVSXi1wi29d1GfnY+Qa8EXfV6CSFcj+mHMrrLL5UhQ+DLL2HECJg713HP4y7t\n5SzSXto4qr1WrVIfWMyaBVOmuE9RJueXe0lIgLvvVsMZMy+tin7xIly4AI0bax/KmJiYSH5+Pn0u\nfVpXrVo1qlatCsB///tfXnjhhaLbNmjQAIC//vqLfv360a5dO2699dbrfqp76tQp6uq44Z9Rz31n\n56rSpArhP4eT8UMGyY8nYyso+fWS9tJGcmkjuezH9IWZO7npJvj1V3jtNRg3Tv1CF8Ls5s5Vvcpf\nfw3Dh+udRoiSWSwWnnzSwgcfWDhzxkLduhYsFgs+Phby8y20aWNh714LGzda6NHDUq6ekb1792K1\nWvn73/9Op06dmDRpEgUFBQDs27ePxYsX07VrV2655RaSk5MBmD59Or179+bPP//kxhtv5OAVq0vl\n5OQQERFBmzZtuP/++3nuuecc0xhCE58GPnRc25Ez8WfYdfcuCi4U6B1JCFFBMsfMDWVlqU9dz51T\nvWj16+udSAjns9nU3k+LF6uVF1u10juR8ch7pzFUdPhZWa/dV199xdixY0lISKBZs2YMGzaMW265\nhTFjxlCzZk1eeuklnnjiCZYuXcpbb73FL7/8QkREBEuXLiUwMBCAevXqkZSURN26dalZsybZ2dkA\nbNiwgbFjx/Lnn39WKLuwv/zz+ey6Zxd5f+XRdmlbvK0mn0QrhEHJPmYmY7WqhUBuuEEtBrJtm96J\nhHCuU6fgzjth7Vq1Ia8UZcIM4uLiiIiIICIiguXLl9OsWTPCw8MJDAzE09OToUOHsnXrVgD8/f25\n4447ABg6dCjbt28vepzyFOs33HADJ0+e5OTJk475zwjNPH09abukLdU7VCehVwLnD53XO5IQQiPT\nF2auOP60PDw9IToaZs6Evn3hq6/s87ju2l6OIu2ljT3aKz5erbrYuDGsWweXps64JTm/3EdBgQ1f\nXxvZ2TZefdXG00/bsNlsrFtno3dv9bWvr42gIBs7d9pKLJ66detGfHw88fHxDB48mC5dupCVlVVU\nPP3000+0bdsWUMXY2rVrAfj5559p3bo1AL179+bzzz8HYNasWWQWTna7xu7du8nPz6devXp2b4vy\nMOq5r3cui6eF4P8E4zfKj/ie8ZzZccYQua5HcmkjubQxaq7SyKqMbm7ECGjdGm6/XfWcTZ8OHqYv\nx4U7stlgzhyYOlWtaDdsmN6JhCi/zEy1VH6NGupDhR071PWnTkHt2uprLy+1EEh5F//w9PTkjTfe\noE+fPthsNrp06cL9998PwOTJk7n77rt56623qFmzJh9//DEAL774IiNGjGDRokUEBgYWLa0Pl+eY\ngepVW7hwoawCaEAWi4XmTzenSpMqbOuzjbAlYSAvkxAuQeaYmcTx42poV9WqMH+++sUvhLs4e1Yt\ng5+QoHqHL334L8og753GYLFY2LnTxh13wO7dsHq1WkF0zRq1d9mPP8Jnn0GdOqoo27ABgoP1Ti1c\nQebaTBKHJxL8TjB+w/30jiOEQOaYCaBhQ/jpJzXvLCJCzUETwh3s2gXduqnehI0bpSgTrikjAwpH\nBVqtahEngJwc9YEaqHP8/Hlt+5gJc6vztzp0XNOR/RP3c/D1g/JBjBAGZ/rCzBXHn1aUt7cayvj1\n1/D44/Dww2rlRi3M1F72IO2ljdb2+vxz6N0bnnoK5s2DatUck8uo5PxyH5mZqkcM1CbTp0+rr3Nz\n1abSoH0oY2UZ+fwyajYj5qrRoQbZb2Zz7H/H2POvPYZaTt+I7QWSSyvJZT+mL8zMqGcxdh/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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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bt1ZfwyxxtQ5ZhtJInCOCr6+bKyvbfV055WpmiAXvEKtSK3CZSIlrTi4dosSl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\n+npRWVkphBDiiy++UL73S5YsUTIqLi4WoaG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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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35o8//sizfWBgIFu3bqVt27asW7dOd1VSo9HQqVMnjh49SmpqKlZWVgbP5+Dg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\nZpTHjBmD6OhoNGzYEGfPngUAPHjwAOHh4bh69SqUSiU2bNgAV1fXShV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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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OmjzkIVugZS+QGY516lMaRXUxuqA5OHgCqam6+chOTkcICppdY22kpKQQFRXF+PHjsbe3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\nh/q0jEO5NAbl0TiUS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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", " 0.09997095054583373,\n", " 0.01466285859058992,\n", " 0.09997095054583373,\n", " 0.1372003032093099),\n", " ('#2', 0.17009081285557417, 0.0179748787995287, 0.0, 0.19054691044524588),\n", " ('#3', 0.21259333422502125, '', 0.0, 0.38391557210298377),\n", " ('#4', 0.36291461845822504, '', 0.0, 0.44002379100020844),\n", " ('#5', 0.36463499303147273, '', 0.0, 1.5301045683123762),\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
Python2.7.5+ (default, Sep 17 2013, 17:31:54) [GCC 4.8.1]
IPython2.0.0
OSposix [linux2]
numpy1.8.0
scipy0.13.0
matplotlib1.3.1
deltasigma0.1-2
Sat May 03 11:17:13 2014 CEST
" ], "json": [ "{\"Software versions\": [{\"version\": \"2.7.5+ (default, Sep 17 2013, 17:31:54) [GCC 4.8.1]\", \"module\": \"Python\"}, {\"version\": \"2.0.0\", \"module\": \"IPython\"}, {\"version\": \"posix [linux2]\", \"module\": \"OS\"}, {\"version\": \"1.8.0\", \"module\": \"numpy\"}, {\"version\": \"0.13.0\", \"module\": \"scipy\"}, {\"version\": \"1.3.1\", \"module\": \"matplotlib\"}, {\"version\": \"0.1-2\", \"module\": \"deltasigma\"}]}" ], "latex": [ "\\begin{tabular}{|l|l|}\\hline\n", "{\\bf Software} & {\\bf Version} \\\\ \\hline\\hline\n", "Python & 2.7.5+ (default, Sep 17 2013, 17:31:54) [GCC 4.8.1] \\\\ \\hline\n", "IPython & 2.0.0 \\\\ \\hline\n", "OS & posix [linux2] \\\\ \\hline\n", "numpy & 1.8.0 \\\\ \\hline\n", "scipy & 0.13.0 \\\\ \\hline\n", "matplotlib & 1.3.1 \\\\ \\hline\n", "deltasigma & 0.1-2 \\\\ \\hline\n", "\\hline \\multicolumn{2}{|l|}{Sat May 03 11:17:13 2014 CEST} \\\\ \\hline\n", "\\end{tabular}\n" ], "metadata": {}, "output_type": "pyout", "prompt_number": 20, "text": [ "Software versions\n", "Python 2.7.5+ (default, Sep 17 2013, 17:31:54) [GCC 4.8.1]\n", "IPython 2.0.0\n", "OS posix [linux2]\n", "numpy 1.8.0\n", "scipy 0.13.0\n", "matplotlib 1.3.1\n", "deltasigma 0.1-2\n", "Sat May 03 11:17:13 2014 CEST" ] } ], "prompt_number": 20 } ], "metadata": {} } ] }