{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# XKCD Plots have Landed in Matplotlib!" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "*This notebook was originally a post by Jake Vanderplas on*\n", "[*Pythonic Perambulations*](http://jakevdp.github.io)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "One of the most consistently popular posts on this blog has been my\n", "[XKCDify](http://jakevdp.github.io/blog/2012/10/07/xkcd-style-plots-in-matplotlib/) post,\n", "where I followed in the footsteps of others to write a little hack for xkcd-style plotting\n", "in matplotlib. In it, I mentioned the [Sketch Path Filter](https://github.com/matplotlib/matplotlib/pull/1329)\n", "pull request that would eventually supersede my ugly little hack.\n", "\n", "Well, \"eventually\" has finally come. Observe:" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "Welcome to pylab, a matplotlib-based Python environment [backend: module://IPython.kernel.zmq.pylab.backend_inline].\n", "For more information, type 'help(pylab)'.\n" ] } ], "source": [ "%pylab inline" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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j9EqlhgJLE71oUfS7UIeiOyVjAIqLiyGXy8M6AiCEVgMC6Nx/PZcbqFdYj2b1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\n75SVlcHhcMBkMqGgoAB2ux1OpxM2mw0mkwkWiwU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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.xkcd() # Yes...\n", "plt.plot(sin(linspace(0, 10)))\n", "plt.title('Whoo Hoo!!!')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The ``plt.xkcd()`` function enables some rcParam settings which can automatically convert\n", "**any** matplotlib plot into XKCD style. You can peruse the matplotlib xkcd gallery\n", "[here](http://matplotlib.org/xkcd/gallery.html) for inspiration, or read on where I'll\n", "show off some of my favorite of the possibilities.\n", "\n", "\n", "\n", "*By the way, this new functionality requires matplotlib version 1.3, which can currently\n", "be downloaded and installed from [github](http://github.com/matplotlib/matplotlib).\n", "Also, if you want to have the font match above, be sure to download and install the\n", "[Humor Sans](http://xkcdsucks.blogspot.com/2009/03/xkcdsucks-is-proud-to-present-humor.html)\n", "font on your system. For matplotlib to recognize it, you may have to remove the font cache,\n", "found on your system at*\n", "\n", " $HOME/.matplotlib/fontList.cache" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Even simple plots can be made much more interesting:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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dd9/lnXfe4cc//jFLB3HiUTweV1pnKAwp6uvr2bPHUvAaKilDCSCRSKATUug0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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = np.linspace(0, 10)\n", "y1 = x * np.sin(x)\n", "y2 = x * np.cos(x)\n", "\n", "plt.fill(x, y1, 'red', alpha=0.4)\n", "plt.fill(x, y2, 'blue', alpha=0.4)\n", "plt.xlabel('x axis yo!')\n", "plt.ylabel(\"I don't even know\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "3D plots work as well:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/vanderplas/PythonEnv/pydev/local/lib/python2.7/site-packages/matplotlib-1.3.x-py2.7-linux-x86_64.egg/matplotlib/axis.py:695: MatplotlibDeprecationWarning: This function has been made private and movedto `_set_scale`. This wrapper function will be removed in 1.4\n", " \"removed in 1.4\", mplDeprecation)\n" ] }, { "data": { "text/plain": [ "(0, 1)" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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tmui2TSaTafv3ZsEcKZd0d+PxeEP5ZrFYxHItUukUMzMzPPvMM8vuf35+Htcd\nRkpJqTKDEo2AAY5TQdMUEokI5883CgL94AdPMzf3E97+9q289JJXtHDs2AgDAzf0dMyKMtg1N7lU\nKqEo8Ybzr+v9FIuSQqHQ0z5S6YvE+lqDY0ZCJblQYudOwTe+8Rj791NvydOMJdJV6s0pbdteUWXW\nCy88z/XXW/T16ctauul0GimH0LSh1xzp+vBJN5lMdixWesMb3sDhw4f5m7/5G/7pn/6Jd7zjHeze\nvZvPfe5zAPzbf/tvectb3gJQ9/F+5CMf4cyZM5w8eRJVVfnN3/zNNZvzpiRdWN8KreYx/Tzb4EOg\nKgq3KApTExNtl1gnjh1DuXiRbDa7pjmNjmUxrCgtpNuu+GI53d1isYie0JnPzHPhwgWe/MpXlp3r\n7GwaIYax7RI2FVRdBUNi2965GRpKMDp6of79sbExvv3tv+dd79pBsWjz5P/7BrZtk0pliUZ7q+iD\nwa7R41KpxJLuggcvaLaznm5mmmZXPYZMLk2svw3p9inMZUrs2OEyO/sSd9yxpc3W7SAwjKXmlM0Z\nFO2yKFzX5Sc/+SZveEMfhuEdVzerOJlMIsQuoO+SGoJuZvik203W8e1vfzv//b//d/7sz/6MBx54\ngA984AN85Stfqftpf+7nfo6HH34YgKuu8nLG0+k06XSar371qwB1gl4LbErSXW9L14dPtsFsBEVR\nMHQdVVXZG40y2kH85th3vsNW113z6jHHttmhKGTm51vm2U6drB3Z+v8vFAoY/QamY5JOpcifP1/P\nyCiVSm1dGBMTC/XMBaIKQpFIQ2LbnptlaKifVCpV18H44hf/B/fdF2FoKApCkimnGB8fb7FMu8F1\nh7qSbqPYzRKk3FXPrz116hRf+MLn294vxWKRilUmEm8jXNOnks5UuPrqBLt25dm+ffnyZh+63ton\nzc+gUBSFYrHIhQsj9QyKiYkJbHuaa6/tb9i2k1U8N5fCcXbjuonXrKXbi46uEII/+ZM/YWxsjNHR\nUT74wQ82/P3f/bt/xzve8Q4APvShD/GHf/iHPPzww+zYsYNPfepTPPLII7z3ve9duzmv2UgbiPUm\n3XalsIZhkEgkGi7uvoEBRk+dasn1m5ubIz86ypv7+8mtoaULnnthezTK4vR0w0thNZVuxWIRaUiU\nmEJyYoLBUokThw8D8Pzzz/PEE/+3ZZuZmTTR6DCVygJuzPX0EgyJZXuWlmHEMAyX48eP88gjD7N3\nb4qbb/Y5st9HAAAgAElEQVQqt4oVG0eUOXPmDEL0Tl62PcCT3/xWx797LoR23X93MzXlWbrpdJqZ\nmRNtxWvS6TRCOGjR1sdBNQRVx2b37gT339+bO8SH34a9E86cOcODD365ZqkLnn/+B7zxjRqKohKN\nKti23bX0eXR0Dl3fiePEyefzGyqpeLkDaUGf7tzcHDt27Fh2m6GhoWVbqquqykMPPcTMzAyjo6NM\nTU2tKeHCJiVdWB/3gj9WUKS5W3VWv64zaJrMzs42fH786FHeBGzVNHIBi7RXOI7D5/7qcy1kLoTA\nsW2GIxFSk5Nt9RFWUulWLBaRukTEBPPT07xt+3ZOPP10Tcsgx8WLFxq+L6UkmaxVo1VTuDEbRYCi\nK1iOV5qtaVEMQ/Av//K/mZ9/hgMHlgRhimULVzi8+OILQO+kqyhRTh452nI+fCyJ3TQiFttZb90z\nPz9FIlHkyJHnW76XTqdxcVAj7dvVq3FBPm929OV2gq67Xf2y+Xyec+ck3/729ygWi5w4sdT2R9O8\nrifd9ArGx+drKXcJ8nlvpbEeKl5XMlRVZXJysqcOwCvBrl27uO6669i1q3tK42qwKUl3rd+uvmUb\nXAr2Kp6zz3VbxG+Of/e7vLmvjyHDIJdMrvgmr1arHDt9rKVDhZQS27LYYhgs1HyVnfQRusH/Xj6f\nxzEc3IhLdm6OW4aG0FIppqamyOcXmJtrrHTyrCkDTYtSqk4joyAUgdBVqk4ekAihEI/3MTw8zTvf\nuQNVXTp3xbKFMASnTx9HiHaWaXtoWgQrX+q4hC4Wi7hu63jR6M566575+Sne8pZdHDr0VAt5z87O\noOgOitb+/MkYLC6uvMhB1xVMs72vVUrJ9HSKrVvv5bHHjvDDH/6A66+3iMe9LhSG0bmE2F/pTU2l\niMV2out95HKVrlZxMxlfye13VgJFUZidna37YjcDNiXpwtpYuu1EXsC7kO3Itt2+btA0Rk6erP8/\nmUySHxnhhoEBBiMRcqvoYGCaJplKhlfOvQIs6SO4rlu3dEu5HPF4vKM+Qi/I5DJoEQ0n4rA4P8+A\nrvMmKTl++DDFYpZsdqHBUkun0yiKly5WNCcRhoaigNA1TDtXy1MFRYnzr/7VNQwORhqqtkpVCxEH\n08xSLvdWjAGgKDFkqdyxk0Q2W0JRWi3daHSY+XmvJ146nWTfviGi0UUuXGi04KemLmDE27c0B490\nc7mVFzl4zSnbk+709DTffPJJEonXYdtv46tf/QpveENfYNvuVnI2m8U0DTQtjqYlyGbLXa3iS2lM\neSUiKGA+Pz/P8PDwZZ5R79iUpBt8k6/mpuikqLUaTYd9AwOMBsRvjh85wpsARQi2GAbZdHrFc7Qs\nC8uxOHjyYF2c3fcN2pZFwjAYUBQKhQIjIyP88Ec/XPG8ATL5DFpUQ0/oLGYWPNIdHOTk975HoZBB\nynJDxN9LUfJu7lJ1BqlrKMKzdC13KTVLiDjlst1QKOC9OGzULQKhlikUoNfToqoRZLnSMf0rk2ks\nAV6ah4Ki7ODixYtks2kGBw1uvVXl0KGfNHxvdnaMSKLLSyAumV9YefFBN9JNp9MsFBbR9X5isbdw\n9myZvj49sK2gWu28z2QyiaJ4rhuPdNvvp5My20qExtsRcVAL+nLBN4rS6TRbt3ZWfLvSsClJF1Zn\n6XYiW9+N4KefdC0Dbvr/9mgUK52up3Adf+op3tzfD8CgrlNYXFyxxWBZFlpM49iZY3Vrx7daHNtG\nVxSGhCCTyfDC4Rf4xyf/seexYencZfIZ9JiOaqjY5SIRVWVPXx/W9DRzc0kGB5UGda1UypN0tG2b\nYuUiUlcQikDRVWy3HCgMSFAu2y0VW6WyRXy7holJPm8jpYvr+oLW1H9a56uiWlbHDIZMplgXu2nF\nLkZGRojHQVUV9u/fysmTP2oIcCWTM+iJzo+C0acym155doCuKx1JN5vNkq/k0fU+0ulFBgZ+gW99\na+lce3q8nXOMk8kkrrurtp84uVzvKWOXqm3brSnlRlrG/vwWFhau+LbrQbwmSLcd2faqqNXLPG5Q\nFEZGRkgmkxTHxrhhYADwcnkTQvTcYNEv2c1kMmgxDTtqMzs7WxejEULUCzO24unRnnjlBCPTI6TT\n6RXPPZvPokd1FFXBsK36w/hGKRkfGeeqq1Tm5pL1uY2OXkRRhqhWM0jdBr8YQNOw7CAp+aSr1B5g\ngaIIylWbxLBBoepSqdh118OSboFbI+JGMnZdk4hLR4nHXK7c1tIFcN2dXLgwytCQd40HBgyGhyuc\nOXMGgEqlQqGQQ413ttiMhMr84srzYL2WPe2t1dRCirJZRogY8/PTXH/9z/D88xFmZjyiXY50JyZS\nKIpHul5vuktPGbsUbdt2msW+hOZ65dL7z+3CwkJo6a432r2F28FxnBat2G5NKnstA27GPtflwpkz\nDa4FH0NCkMvlut54zfoIlmUhVIHYLpiYnGgQo3FqpLvFcZhPpbgwfgHjKoOXX+7eKrwd8oU8WkxD\nKIJIwPJ7Y38/udEprr46TjI5Vi8nHh9PEYlswzQzKHENV0rPp6spONLEdb1MCtftp1wOCrAIQFCp\nOsS3aeRLFrqu1lKl/GvZTHpLZGzbFXQXLk5Pt7WqcrnOlm4kspOzZ6cZGFgKnt1yi8bhw55LJp1O\nE426SKPzeTL6FOYzq3EvKB37pM3MzWBZJplMhb4+F8OIoGm/xBNPzNfm3b2x5eioF0QD0PU+CoXy\nUpm66zK1RprLnazi4N9X0/FhLaxi//ldXFxsaOl0pWNTki50z9UNku1KOgIHsZIbYt/AAGPHjnmu\nhaY8wC1CdFwWd9JHUFUVzdBI7E5w+NThhuNSase+VVG48NJLyLgk8roIh08ebruPbsgX8ugRHddx\nSTh23U+3t78fPZsnElGZmrpQLydOJjMkEjux7SyylqNLbT5CEziORzCu20ep1Kh65Tgulu2iGgLH\nEEQiJtlsFiH8B9d/eJUmIha4bhUDhczsbFurKpcrout+9kLjdYvFdjM2NsfAwNLn+/dv5eWXD1Iq\nlZifn8cwHKTe+XprUYVi2cI0V6aj0c2nO5WcQqKQSk2ybZtXCbdt2x2cODHI6Gi2tm1n63ViIlmv\n6FMUHcdR6tkO4+PjPPK/H1nRXFcK/9nr1MljpVbxagJ3/viLi4sM1FaXmwGbmnR9BN/wl0K2vVjP\n7XBNIsHc2BjF0VH2NV38LY7TYukGybadPoKUElQYuGqAU6+cqlvpjuOgKwpIyVbDYOLsWdwhl8HX\nDXLo1KGOeaztUKlUkKpEURXsis2QspSi5FgWbxKQvFhgbm4GRVHQdZ1crlwrjPBydBueKUPUq9JU\nNU4u1/jAmaaDonsvSjsqMQyLxcXWHGYhaCJigetUGRJeJkjzw+w4DsViGVWN1c9t0D0RiewgmUwz\nMLBknUWjGtdea3PixAnm5+dR9CpKmxzdpTkJlLggm11Z2lg3SzeZSoJQKBYz9TQxIVQikV/mn/85\nja53tnRLpRL5vI1hLPUDC7ZJyuVyFLq4JtYC7YojuvmKu6Wztevk0YtV7D/PlUplTaUX1xublnRh\n6YL7ZBuM8q/Usm0esyPaXHxNUbgOWlwLAENANpOp3zidxGiCJbuWZeEqLlpEw47Z9Xxd27bxHQ1D\nkQhTo+fRh3UiiQhltczk5GTPx1ksFlEMBYnEKpoMKlCperqslWqVOyIqUydSuK5XLZXP5xFiCCEU\nCuYkRL10sTp06voLmhahufq5UnEQNd6zYhJNq1AoZHp7UThlhpQo2fmFloe5Wq2iKAm8LhNByNr5\n1ahWozUSXnqAb701yqFDT5NKTdbO9TIv5Lggm21NG/Nvh3a3ja6rmGYr6bquy0JmAaEbSFlFC+QH\nb9lyMxcuxKlWHSqV9i6NZDKJqu5sIrwl0s3n8xS7WMkbjV4Cd71axT4Zey9Ur5/dX/zFX1zWLIqV\nYlO2YIdGcgxqifpdGlYbHBNCrMrf9M7+foaMVsfgkK4zcfEijuNQqVR6artumiZCrZUkb3U4e/Ys\ne/fuxXVdNCGQwBbDIDk7zet2eJU4clhy5swZRkZGueGGfctW6JRKJaj1YJSLZWIqlEsl4vE4tmVx\nfULnh2M54ndcxfz8fE3Jq5ajW51ERAyEMBHUFvQGOI5v6cbI5xvPX7XqIPSaOygqqJImEpHk8wUG\nB7svDaVVYEiLM55u1IIQwtORVdU+qM2k0T/sBeJMczuWNV4jSG9ee/cO8q1vnSKbzeLguT2QgU2b\n4EblKixdFdNs3SabzeJoDq6ioet2w049crqWTGa8I+nOzc3hun6ln6htt6S/sJhdpGxtrL7uatBO\nF9t/7vxnMPgsNv9WFIV3vvOdqKrKfffdx7333svNN9/ckYAXFxexbXvZnN5SqcTf/d3fsX37dt73\nvvdd0jG2w6a0dF3XrVUhLVlJq7Vsm7FcMK3T+3TfwADb2ixxhmoFEr6uai/6CJZlIRVv//FdcQ6d\n9vo92baNXvt+TAiqxQKRfo8541fFee7Ec/zkJ6d57rnl/bvFYhF0b3nuZIrENKiaJqqigBBEdYXX\nA6VSllQqVW+7DlAyZxGGTkNVbEBpTNMiFAqtpIsGSJCGoGzP09cnyeW66wJ7B15kSItTyLaKmXtE\nE6xGEw0uCikltr2bbNapP+RCgKYp3HijZG5uBkdK1KhAEnjIpQz2p8SNSRZWGEzzUsaqLXNeXFzE\n0R1coaBprdoMrns9yaTZMfNhenquni62hCWlsVQmhWV31ny4ktGrVawo3rl98skneeyxx3jggQfY\nv38/1113Hb/3e7/HxUAfQcdx+PjHP86ePXu45ppr+Mu//MuO+89ms9xzzz380R/90bKa1avFpiRd\nfwnuwy9suBSyXWt4D7vNQEB/oVd9BNu2kar3oA7sHuD0udP1ZZXmDU6xUGDIULCKVv17L114iXQ6\nx7PPnl12boVCAWlIpCuRhSoJQ8WyPRlCx7ZRNckboiqV6Xnm5pIkk2lcdztSulSteYhoBFf00nAD\nPt0YhUKj26BadZCaxHElSkyjbKbo69PIZJav2BNOkT4tjluptpTGekTTWcSkWq0SjW5nfLxZ71bh\njjv6kTKFZbvoTe6FWjJbnYiNhMLFhWLA8ureH80/5rNnxlrmvLi4iKXZuKhtSTca3cXIiKBarbR9\n+V+4MFfPXPDhuvG6pTu/OI9trV/7nstRpdaczqaqKolEgvPnz/PQQw/x3ve+l+HhYSYmJvjqV79K\nfy1XHuDjH/84n/jEJyiVSvz7f//v+fSnP81/+k//qe1+HnroIY4cOcI//MM/8Id/+Ifrciyb0r0g\nhKCvr49KpeKlV62hP6ebpdvLzSal9AIAte8OGga5hQUikUjdB7UcLMvCFR5paRENJ+4wNjbmve1r\n38nlcwzokmqxSnQwiqqruEMusxPTFIs6i4uLDA0NNYzr+5T99DTX8CxvWbToj2qUa5aVbduoiuSW\ngQj2hUXGx89SrW4hErmeajUDhkRCo6WrCyzHC95oWpRisZl0bdDAsV0UXUfqDoZRoVj0ItfderRJ\nq0RUiRKpOuTz+YbzWCwWkdKzdE1zkWJxikJxlEz5JKXSNHt3/ymJxDDj460kdO21A7z//Xv4yy8e\nYTDa9CKUS/+QgJFQSI6VAkvcpjnWXBfeEN44k5N5xGKeQqHQMOdMJkNVtUA10LRWn3Y8vpPxcZNd\nuyJYllXvtedjYiLV0lvOdZd8uunFNLazMT3TLpcv1bIsSqUSe/bswbIsvva1r+G6LidOnOCll14i\nkfDuiWq1ype+9CUeffRRfuVXfoX+/n4+8IEPcNddd/HzP//z/OIv/mJ9TNu2+cpXvsLu3bu5//77\n1+3YrhzTcIXQdf2ydATuWJ8P2I6DZdt1wlUVhbiug2n21O/KR6VagQAHOVsdzr5y1steqH2WXkyz\nw1Cp5gM+w+0wMzeFEDfU2+L4x2JZVkO2RDafRRjCs2yLJn1RjXItWm5ZJqoGuiJ4g6by4ovHmJz0\n267PQ1zBdZ0GS1cxNMya0piqRiiXvQwCH9Wqg9TBdiSgQZ/ANBeIxyGX6148Iu0ShqITp7FCDjzS\nLRRKPHPig/zk5Q9wPP8Jzg18kcWbXqLUf5FCYYZYrJ/FRYVKpZGIhBBcfXUfVcvLrGj8o//jWceR\nfo2FxUqg6q5pjk0lz1K6TFzI0G/ZzDc1Ep1bmMPWXFxFommtaWi6HqdaHcR17RY9XsuymJ/PEYk0\n+iUVJUEm41m6C9mFDSPdywn/WfzHf/QqMhVF4U1vehPvf//769958sknsW2bd73rXQwMDCCE4JZb\nbuGaa65pEbX/27/9W06fPs0f/dEfrYpwe+38vGlJd701dXsds062llX3MfspVqqqogjBoKKsyD9U\nMSuo2hLrJnYlOHTqkOdeqPkpF3OL7NSUBtIdeN0Ac7lJotGf5vBhr1giKHAezJZYLCyiRTVsy0a1\nXaK65pE9YNkmmubdGm/t1xk/coKLF9NEo9uoVNIQl7iu05CpITQV083XzqGCEFHPuq2hWnVwVYlj\nuwg0ZL9LuZIhkZDkcp0FygFcp4QhVAbRG3x1APl8iWq1TGVXitg7riL+U7tJ3PA6Itu3IuIKpdIC\nkYhAUXa1bVVeLtsoxvKNTvW4Qq5o4jiyodKufvyiMYNBSpg6NU9EuszPzzdE3mfmZnAUkApoWqf7\nbA+VSrXlZZ1KpRBiGEVpXBnoeh+Li54oUj6fR7qyt8yQTQwhxLIC5s888wz33HNPg67K6dOnGR8f\nb7Bywe//B7/1W7/VEPRuhxMnTrB371727NlT/9m+fTv33nvvsvPe1KR7OSHxHPTtyFZT1aWAmxBe\n2liXzgfNKFfLKNrSpenf3c+Z82eoVCpoQKlcxlVchnQVmVkikuhglIooE4vt4oUXzlIoFFoEzv3U\ntMX8InpUxypZ9CsCVVcxTRMJWGYVrZY98fqtUXZnFpmenkbT+ihXU8i4l1cpAqSjGGrdveCdizjl\n8pK/slS2EDo4jkSiIxIKpeossZhKqdS9u4Z0KhiKygBai3WysFBC4iKirfeEjEjK5TSRiIrrvq4t\n6ZZKdtccXR9CERBtVhtrzlFdKnm2LJeFiTx7I1pdl8NPg7o4fxFbuEhFIITNkn84+HMdxaLd4g/2\njn83zdC0ONlsaSlAKp01bYp6JSGYI1ytVnt224GXTvf7v//7fPjDH2bHjh0Ua521pZQ8/vjjAFx7\n7bXEYjFuu+02HnvssbbjDA8Pc+DAAQ4cOMA111zDxMQE+Xye22+/fdk5bGrSvRyWrpQSx3WxLAvH\nJ1sh0DWtkWwDGJJyRaRbqVbqKWMAmqHh9rlMTk6iAYV8HiLQr6vIhSUicRwHsV2lUJwhm43W83vb\nBfAyOU9hzCyb9FOz0hSwTBPbNlFrpC8UwS9GFKzpEUBSNCdQYoZn6QYtPU3DcoospTDFG6rSCmUL\nVRfYjgtoKLEIuco40ahGqdTdveDaJXShMiBVUk2ku7hYwsUEvc2tHJGUKnMYhooQVzEx0Rq0qlRs\n0Fs3bYfeCiQ8v8T0dIE9AnYoXo5zMPqezqSxhEf2UtoNYj/+Tyy2k4UFpb5C8e/H2dkkjrMT3+ns\nv2c0LUEu58lfZitZJqfHunatuBS0K4y4HBBCUCqVuqoD7t+/n+985zv88z//M0888QQ/93M/x623\n3lrv+vubv/mb3H///Tz77LMcO3aMN7/5zRw8eJCPfOQjzM/P8+u//uscD6gI+rj66qv5u7/7O770\npS9x4MABAN7znvd0zYzwsSkDaT42knT9KjK/ZBE8slXVzjqs4D2CWxxnxe4FRW0kEWerw/kL54kB\nmdwiRAQDuoLrpzFJqJpV2KoxP3eQweitjIyMsn///rbzy+Vz6FGdSrbCdv9DTZDL57GsJfcCwN6o\n4PqFIvOpwxSrU6jRKK5dbHAvKLqK7Swl5EuZoFJZqjgrVSwUXWDbLlLqICULs0eI3KBimqWuy0Tp\nVDD0ARIYzF1sJN1stogjKihGK3Mquk7FTmEYKrHYdkZHW++TUskCo0dXUqz3XN2JkSw3upI0ksV0\num4kWJZFvpjHGQJFF0jLanFLAMRiOxgbky1az+fPXyQSubMlkKdpntJYJpNhLjuNdNzXhHuhXC4T\nj3fuQvLbv/3bHDt2jN/4jd9gy5YtfPazn+V3fud36n+/6667OHDgQL2MeMuWLdx5553ceeedGIbB\nJz7xia6k/sgjj/Dnf/7nvOc97+GRRx5p6LbdCaGl2wHBRGy/ZNc0TZASRYh6aWMvb/tBTSPXQSGr\nHapmtcGnC55f99S5U2hSkskuoMd0+nQVO1uuuzlM00TfmiBdOEx//60cPjzScX75Qh4tqmGVLQb9\n06fCkcMvMj6eIZ2u4Ni+ReNyr+gje+6LlKozqLFI3WXhQ+gqllMOXItG/YVCxUI1FEwLQENaNhGr\ngONUMAxBudw+0CilC66FiiChxliYbSTdXK6IQwWhtzFXdQ1HZNE0QSw2zNSU2XKvlEo2bo+WrhuV\nZBZ7C4hOn55nX0yjXxcUAsG/xcVFXMMFqdXcLSaBqF3dN6zrUWBriw97bCxFNLoD39L1g3de6XWB\nZ575CUq8gkujBONKMTo62lB0dCUhaGn7feQ6Qdd1/vqv/5oLFy4wNjbWQLgA/+W//Bfe+ta3cscd\nd/D2t7+dI0eO8OCDD/K+972PT3/60/zxH/8xN998c9uxk8kkH/rQh/jZn/3ZngkXQtJtO64/ZrM+\ngqhZtpqmtZT7dsOQYZBdAelWzEqDTxe8PNzRqVGwLErVEnpUIyIEomph1XynruuiRuM4sQqaFuf0\n6cm2EVXbtimbZU9Ht2gy6GtXKA6m6eI4+xkd3coLL+QZHSlgmrBb9LO3MEE+N4ow9JbAkVAUUCWO\n4+3PcfoasgXKFRvVEFiWpzEgKyZxbCqVBaJRKJfb6ww4ThWjJoCTUGNk5xYa/p7LlXFkCUVvveGl\nqoKSBwSaFsWyBlra7pRKFm4XsZsgtD6F5MLyEo+W5ZIcybInoTOgKRQCspvZbBZXd3FdBVVXcGTz\n9VkiYEXZw+zsbL04QAjBxYsLbVrXe6Sbzxf54Y+eYOvVOq5068EgX7/gy19+pO5f7oZCocDf/u1n\nWzpsXGmQUqJpWk8vlz179tTTyDrh7//+77n22mv5j//xP3L+/Hk+//nP8+CDD3b8/kc/+lF0Xedr\nX/taz4QLm5h0YX3cCz78st1gxH9VBRhCeLm6K2jbU61WG3y6AKquImOS3MICGKK2dJQMCQWzZHoX\nXQJoyB2SbO4cUu7h/PnzLeP7ugtCCGS2QqLmm3WFxJUCISIk4tehG29kevoqMpk4Uuoc0GIM5Ka9\ndLFWJUaELuqlwFL2USwuBXJKZRtVF1gmKIqGnq+gKg7l8jyRiKznmDbDcSpEan7ihBqjsLjkG5dS\nUiyWsZ1SW/cCqoIUwY4WV5FMNu4nX7JQeozDGAmVuR5Id2amwFWuJKoqDBiCYoDovMIIC8fxEv1t\n2dlyFmIPo6OztX8Lz0p2+9H1YIsmP4CnksmUMKIZYoMqilbrgVdzh+VyOZ56yuu7t5yi11NPfYtc\n7tyK0hxfDdi7dy9Hjx5lbm6OgwcP8sEPfrDjSvH48eM8/PDD/Omf/inXXHMN1WqVhx56iPvvv5+F\nhYW22/h4VZAuXDrx+hVkQcuwOeK/2sDBUK1tT69o514AsOIW+UwGWfdBCrYpAqfiIBTh5WZKDW1b\nnLn8s0h5KydPtursFgoFlFq7cZmrEPeDZirY0hsL4ZFjLL6Lgf7XAxF2KTp3OFXKU0kUpbEeSyK9\nAgnLLwWOsri4lL9arnqBNMvyUq6MQhlNSPKlaaLRzhkMnqyjd9779ASlgCC8F2QysJw8oo2l6yoK\nkmJAhe5aksnGJXO2WFlW7MaH0aeQ6qEUeGIsy421fQ5ogmJA/SeTyWDpFo5v6bqdfcSx2A5GRpb8\n4l6LnsaiCH/FYdsOmUyOrTs0jLiKonn+Tv+ePX/+PMmkYGFhoauiVzqd5tlnH+fmm/s75p1e7kDa\npWQvLAdVVdm+ffuyxtX09DQAX/3qV7n33nvp7+/ngQce4Gtf+1pLQ9lmbFrS7VXIvBfYtk2pVKqn\nV8FS1dtKWpq3gwAGdJ1iNttzCo9pmg3uBf+FYAwa2FYJLaoianmiW6WkWvAeDsuykVJDHxokUzpN\nInE9zz3XWhJcKBSWIvb5Kgl/Xwo4baxYoQiQEssq8faYRuL0OYR0QUqW6J8W0ZtcbknLoFS2UXSB\nZUsUoaIWK0RVQaE60TWDwXFM/IyuhBrHrlTqaVRe2WsUR1YQbSraJC5Cd+suD8PYwchIY3ApVzDR\noj2SbkJlMVsJFH20v+emT6e5Ieq9BPoMQaWYr1/7i+mLuIbEdTQUQ8WRnRtexmLbmZ3N1JfPyeQc\ntt2aLgYwPT1JIhGhULHQYgqqLrwUw5p2wZkzo1SrwySTma6i49/85v/ljjssYjHpaURcwQ0q/cCk\n3s6fv8745V/+ZX73d3+XF198keeee44DBw7w+OOPc/LkSd74xjd23XbTkq6PSyFET4u1SKlU8tKt\nhGgouWw79kpvPiFQhKBPeB0keoFpeaTrk61t2UhXEhmIIB0TPabXU9O2SbBynnVpVm2EoqFoKgx5\nAjRTU4UWP16xWITaYTqFat3S9UlXaXPYqgqmlWV7VOcNpTJ2Mt1IOUKAseTT1bQo+bzvd5dUqzXS\ntbwdKWWTrYZOsTJb75LgOG49ZcpH0L2gCkFMaMzOztaPQ0oDYbTPILEdCyWiYtueSyAW287ERKP/\nL1c0UXvI0wVQVIHUoVBoR5Q1VTjHZfZchusTHhFoqkq8pnUBcHH+Iha166SoOG7nJbymGdj2lnow\nbXw8ha57lu7SORJUqybJ5Bhbt24lk6ugxxQUtdFlc+jQeXbufAszM9mOouPJZJJTp57iZ35mB0eP\nZletA2gAACAASURBVDhz5nRbq7hZCexywhc12mgoisIXvvAFXnnlFSYnJ/n2t7/Nr/3ar7F///7l\nt92A+a0bVhtMC/ZM8y0QP5fVX6qs9YUcWkFVWqVaQSLrZAugqAqaqjG0q6+xcEJT6rm6pmmjKLVl\n9g5IZ48ixP6WVj6FQgFX9yw+u1AlUUtPkwrt/bWAokDVyiI0lbsjOtvOTYMjG/KSpSEDojdRCgUv\nw8FxwBWgaoqXEWFK+oEBVaFiZZDSwTC8YFpznzTHqRCpWdQS6BdGnYRKpRK2rXfMs3UcGzW2JK4e\njW4hlQLLWlpxFEpWz+4FACUhWoJxQVy8WGLYdusvMlUR9Emn/sJNppOY0kFVNYQqulq6qipwnGvq\nOsljY6kWoRuAqalxtmxxUdUBcrmqR7qaqBN9Op1mbs5iy5Y7mJlZ8jc2K3r9v//3dX7mZzRiMY2Z\nGW/10U56MUi6zT3RNpKIpZREo9HL5ntWFIUbb7yRHTt2rGy7dZrPhmElpBvsLNHcDTgSibS9wS55\nfrXfvRRISCmpVCqUyqX6hsGSYmynXinmYyBIupaDEB7pRnZsY2bxKRTlFg4daiTdfD6PjEgcy0Gz\nXXQ/kOZI744QATdIzfJUVInlFBCaylZN42bLwV5s6k5guFg1q1LTYnXRm0rF0zaQrvQIuGqzTQj6\nEaC7mOYi0aifNtZA49h2lUhN6SuXy9GHzmytbU+hUMC2VTDarUhq7Y2iom7p+i3Z5+aW/LLFktWz\newFARmVbMXMfE+NZbnKW7htFFfQ7S6SbzqQxXQdV0UBRcLuQrqIoSHk1585NIaVkYiLZQrrlcpn5\n+Ul27oxh21EqtneuFU3WU75eeeUccAvR6DBzcwtt7+uRkRFGR5/lzW/eQTZrsrgYoVwutu3+0HJO\nZKvgeLvuD2uF4FjLlQFfidhcs21Cr5Zut84Szd2Au7krLuXGGXLdjpaulEuNKU3TxLIsVENF0zUv\noOZPyXZRm+bXr6s4tdxR07RRaqSrxqNY8TyKonH48LmGRPmF3AJqVMUqW/QFzqHtuKAqIK16Naqs\nsa6iSBy3gqJ5orjbANdsEpDRVUzXIxdVjdRJ1zSdegmwECpuxWJYQr90kRGHSiVDNCqpVMooimCp\nT5qC61aJ1gR7yuUCCUdhbm4Ox/EUx0xT1IobAtdGUssjlsio54teOtdL5cCuKynXKuV6hRuTZDKd\nLavpM2n2RZeISVFgwPVIt1qtUq6WqTgmqqYiVAXH7W7patowp09P1VIXVXS9v+E7k5OjDA97+sCW\npSF17x5WtSX3wrFj5zCM/ahqFNPU6xKQS+dE8o1vPMJb3xpB1xUmJwtUKokG90TQKvbvF0VRVtT9\nYT2aU8bj8Y6ZL1cqNjXpQndL13XdWovtlbXx6Tbmaj3IW4DFpgyGYC6wL3YthCemrRttsiUspy3p\n2jkvtc22PF9hHVcJFvIvUiwONHSHTWfTS7oLgeEcxwUVJFZdR9bvpiCwQJNQ86FtkRK3ajWcEUXT\nsAJKY9WqN6Zv6dqOBKEhSyY7pCSOQGg25co8kchSBoMfkRfCa78eR2JbFkiHfldhbs6r8Mrni9i2\n0tBU0tfAtR3be39E3Fp7eH9J/Dqmpjz3QLlsgy4aNCSWg5oQpDLtH3IpJdMvZ9jXt+TvUBSFftsm\nn8uRyWRQ4l4DSU0zliVdRRGo6lYmJ+eZmppCiMbMBdt2WFiYZceOpYopu3ZLC81310iOHr3AwMBN\n3vzV4bqwi4/Tp0+TzZ7ijjs85bKRkTJSbqNU6r5s70VwvFvQ7lKbU/ote3pV97pSsKlJt5Ol6y/T\n61VkgKZpJBKJFTWoXMsl0aCuk60FgHypxXa90nRdR9FarQagraWrK4Ko62JXbCwr4NMFIru2Mbv4\nNI5zM2fOLLkYfN0Fq2wRbJTjuA5SZcnSFXjShgjAqgurSynpUwVaqfFmF4aKWRO98a5NlErFoVq1\nPQFz29NdMPJlBlSFqCKIKJKCOV0TvmnNYHCdKlFcTLOCpkGfC3OzC2iaRj5f9eYYaS13dRzHaw9v\nKFTtbC1AJ4nFtjEyUktjK/eeo+vD6FNJLrTvPzY3V2KgYtOvL1m6qiJIAPlUynMvxcAyLa/YQVFw\nZWd9BFUVuK5AiF0cP34cKVtdC5EIAQ0MiVXbtaIJisUcMzMzlEr9RCJei3IphxsCq67r8sQTX+We\nexL1cV5+2aG//9plSbcTmgXHl+sU7BNxL1ax/0z67kDfUNlM2NSkG4R/QYLLdFgi23g83lUou9OY\nawGBJ2aeTSbr6Wnlcrmt+pdt2y2FEfVxbBe1zRUbEoJqvoplL7kXANRoBKu/iOtGefbZJdJdzNUU\nxsoWA34Oq5S4dUvXrpOtqBVIubLqWZTSRSKJKyp6udFKE1qj0pgQccplu96qxxe7MQpl+lQFQ1HQ\nJZSsWSIRjUrl/2fvzWMsu67638/e+0x3qHnodnuI7bQhiQPO7zkDTgII+PFDEYSEkABR4BE98p4C\nRIgZgRIEjhTggSEiQICIWSB+QAKB8AgIZKQkQF7yDM7koe222z1UdVXXdOsOZ9p7vz/2OeeeO1R1\nt11t0v6x7Orqrjp3n32m71l7re/6rv7EObd5Fx9JmqU0Gh6hVextOE9tZ2eAEQkiUFRCO8V/Rhuk\nAuV7pGYYS4+iZc6eTYuYcOZYHKVHfwWXO2ipA7m6T53p8CVjg0gpaOBAtyqMMAKlpPN09eGertY5\nWt/CAw98hnF1MSf2UjtXVpMVL0bhCQaDfR599BTGvKDaRusltmorrk9/+tMIcZo77nCC92mqOXvW\nMDNzE4PBwXO7WrvSNjx1m+YVl4nvmZkZPve5z9Fut3nXu951ZPN8Nuy6B93yQmmtR5bpSimazebT\nAtsDhcqfLggLwXwQsL2+PkJPm6b+lWXZRAlwtf8p4QWARQHxfoy1Asa64ooTkv3kDF/4wrAkuLPf\nwW/4ZL2U+SL+abQGhKviIqnAtrRM9xG+dBxVa2kqgTf2UErfI9e9iv0gRKsCXatcTBc8VC+hXXi6\nvrX0k41Cb4AJDQaR9VAGpLAEgSQwku6W89R2d53ughznaYqCuSAFMvBJ870qXBEELeK4Sa+XEcc5\nIijxdtiax5a8tSlAHLQl2zvT2+ice2ibk/7ovSaloCEM+1tbbO9sE8sYQVFGLkuVsen3lWMvaDzv\nVjY2srEkmqXf36felk+blLzQ51Ue9HpdPvWpUzQaQ+0A31/m3Lmhp/upT/0jL395q7r/LlzoIsRN\n+H5EHE/3wseLI56Jc3IQEB/mFSul2NnZ4aUvfSmrq6u85z3v4Td+4zcOLFt+9NFHefe7381nP/vZ\npz3Po7TrGnQdHcm9+cq2zFLKCmyvph56fFw4Gk/XFuPMBQG7W1tYaw9kTDz66KPs7+8ffFVyQ+kE\n12e2aKDf6VfMhbqFx5bZ2P84xiyztrbmWAD7HVSooFMrATbWlaRJgWGKXoPpV9xhay0NTyLjMU/X\nV2S6Hu8cerrGwymMaQ+ZpLSUJJQClWmsr0nTTqHBMOpF2ryL0BbPd/HktorYL85jp9NHM0AEk8et\ndYZSAlF1tKhrGpxgY2PAYJC7xFP1X22/TAKxtRblCXJp6HbTET6xtZZzD21xe3v0BSCVoIEr33Y6\nujlSuW2EEKAExkwHN+fpalqtW7h0SU606On19mg0hsee0ccWN4irSOvy2c+eYXb2jmqbMFzi/Pkh\nbWxt7SmOHx9qEpw928WYk3ie78JCl3kGtre3ue++//vQba7WpnnF5ZeUkjAMeeqpp7jjjjvY3d3l\nQx/6EN///d/PyZMnueeee6pxrLW8613v4kUvehE//dM/zd13383v//7vT+zvx3/8x3nf+95X/fsn\nf/Inr0ii8enadQ26+/v7I2IXjUaDVqt1xepfB9lRgW6p/gUQKYVf9AKLomjq/P76f/5Px6k9wDG3\n2qCmJH0WrSXd7jFNqVOFAXouYX9fcP78eZdULOOInZiGEk6sBougAN1xGpOFXA+QvqpYEC1H3B3Z\nRiiJIcMYd02sbRegm2N9S55bTCyYLwpGQikRaQ5tSZJsE4Z2Uvgm70Oe43vuuGcCjzyO6ff7dDo9\nctuf9HSBXOdIJZG+R5aPUtu0voWLF/sMBrkTu6nwWFQP/DQgLg6z0tWt3x9bWwOibsZCMHrxlBRE\nWLq7u6xdWkNLjRS1+SpRna9xc8ADYXgMz7ubMFwczsNCv98dAd2cProW093cvITWN+B5Q+nDMFxi\nbc2Bbr/fJ453mZ0dFgQ99JAmim5GKR+t7WU1ec+fP8/m5uFlr0dhonZtsizjRS96EQ8//DCPPfYY\nH/jAB3jTm97EwsICt912W/WZf//3f+cXfuEXeMtb3sI73/lO/uZv/obv+77v42/+5m9Gxn700UdH\nvOD77rtvItl4lHZd6+mGoWvcV3q4z0o54BUAsS6W6+NbLnge+/v7tNvTu9f219ZYu3DhwJguucGb\nAtYzvsRc6iEWJ1vAA3BCsv2Fdb7whdOcOHECUfBabTeh7TnhdWMMFjkVdI3NscIglV+ERlwCL9CG\nONeIUrtBSIQvyfMY329jTJvBIKM7yJE+xBnY1FJCRygFxDmmnTOId4ii4/R6o1V7Nu8jco1fLNtn\nfR/dzdnb26Pb7aPNYBJ0LYXIuge+Ijdx8W83hu8f44knNCvHTFWZN2Fi+Jfqr+UFbcDubsKJE8Pr\neObJPU7WKVCi+EOALwSe1qxdXCNtpwhZq3o8xNMFRzmzFk6e/D9Gfp6mCUJoPG+YCUx1F5QLAQlP\ncOnSDgsLoxVSYbjI+noHYwwbGxssLqoRJ+PUqYxW6wbS1K0OkiSZaIxZt/X1NQaDrcs2Fz1Ky7KM\nTqeDlJLbb7+dj3zkI/zZn/0ZWusRLvyv/dqv8drXvpY/+IM/qH72nve8h5/4iZ/gta99bfWz8eKG\n7/zO7+QTn/jENZv/de3phmF4qMDw07Wn6+masqNEAbil7m4pAzkPh0rr9XZ32XzyyYM93VwzDY9n\nPIXdHmAPeIeGK4vsZY/y+c8/RbfbxWs4/q/ppjQKwDTGgJVYITBobI3Xq/ME/JLCZSpAaguBHePq\n4g8rwKxt0+1qeoMU5UvSFGxiWClOqycEgbWISDBIL07VYMjTDh6WsiVYw/cQueH8+fMY47zYcbEb\nbQrmAoV3FAznBK4c+MwZQ6eXXFVhROkRmwi63dEu1Oce2eGkV7s4Lq5UcJyhZQzrG+skdoAQQbkB\nSA4F3TKuO279/mAknguQ5R1k4JPnFqEEG5sZMzMvGNnGsVtm2dnZ4eLFiywu1vjb2zFxPIfvt4vt\nxGS4Z+yZWFs7jTHpf5r2rhCiaqmjlGJx0b3S4zjmwx/+MO94xztGtp+bm2N5ebSp52c+85mRf7/y\nla+8IgnMp2vXNeiWPEA4WnrXoTzdKZ6mMYYsz8kLsBVC4NV1d4vPzBlzYFVanufEvR7bZ88eCLrk\ndphIq01tphAzn1i4WNdAUvgeYlnx0EOPuAqeyCUn8m5alQA7ZoF0BWlj3pc2CXjlsQ9Lf2cFmHQM\nMAKnlwBOf6HTEfTiDBUI8gzkIGeldl4jXCfhbnqBKPKI497IYiId7NPwhuwEz5M0rMdDDz0ENDAi\nRYx32dCjrYQIhlVpAFG0yMWLmp1OjHeFugt1E03L1k48Ui59/qFtnt8OhjTG6svFZlta00/6xGmK\nUv4wR+eV59rWvoYmJQeAbo8oqtMkDZnuIUIfrQ1CWXo9S6t128RnpVxme3ub9fVzLC4Oxzh7dh9r\nby+28Svq5YHnQQguXDgN5M9agcI0hbNpz2mv12N7e5tbb721+lmaprz73e/mu77ru0a2PXPmDC97\n2ctGxrt48eJEP76jsusadP+z+qSVZsra8yKJJ3ACJ34R8B+3eWPYO6Aqrd/v41vL1oULGDG9zYrV\n0z3dti8x3QRrCrQueY+2UExD4N3UYLOzxYULFzC+KUqAdVUC7Di00mGbGvW+cj0A35YYUoHNrJ2s\nSiOg8iod6Fr6cSl2Y4l6GTM1kGwJgfA9BulFpBR4HiMPehrv0RjpfyaYlQEPPvgZjPER/qTYjdYa\nJWvXbgx0nRe3zMalPuoqdBeq4VqKjd1+9XLY20tgN2YlHL4th2k7gVTQSBKssiRxhufVY7ou6VcR\nJmx537mvg0C31+vQaAz3l+cDRCAQwkfnljjVCLkyNRpmjKONra2dZnl5uFJ87LEYIW6rzlFJwTzI\nXIjiHKurX3xVYeU9UTo5aZryHd/xHdx666287W1vw1rL+973PpIkYWZmhlOnTvHAAw9w33338Zu/\n+Zusr6/zghe84Jq0PLquQXfcrrXQxjShD1OArVLKFTZMAdsSEhY878AOEr1ej+UgIEhT8mx6YsXm\nFlVRwobHqoSgZS06AVuBrXUPvJAIKQlXl9lJtnj88ccxviHrZ7SlqABUl5QxAXijoJvpPqLU960d\n3ry1U0DXkOcONJWK2N+H3sB5ulluCXop7RolrukOgER3nIxjONpFIks6NMfCBwvK49SpJ9Dam6q7\noLVmpEN5aEZKgd02X8LaRv+qxG5K81uSSzWu7tpal1un8ExLU1LQShJym5HlGs/zh0k6ZbE2nxAZ\nKgFYSnevlQJAlVRmvzPKXMh6xbnwybWh3zcgj5Pnk4Bt7TKbm9usr59hZWUIug8/bGi3TwClpzvJ\nJqnb5uYmrRa02+qLrrXPwsICX//1X88b3vAGvvd7v5cXv/jFHD9+nL/+679GCMH999/PD/3QD/HU\nU0/xxje+kV/8xV/k7rvv5kd/9Ed54IEHAPiDP/iDa6LrcF2Dbj28cJR2kKdrjMEWoQRT/E6VgjRX\nMI8532dvrOdVad1ul7YQrApBEh8gHp3rqYk0gBlrMbF2Wgk1sC2fZul7mMWAj3/iExDgCiNqY2lt\nKJNGVll03dM1gwp0JUNPdx5gjDZmA+s8Y0p5R0Oc5Chfkmeg+hntWsKlDZBrRFOSJHtE0VCoJcty\njB4U4YWhLXqK9fWL5LlXJQXrlmfpyPWwoR3xdAEajS/hwlqKF119eCFoKbZ3hyCzsx1zTB/sEUkJ\nUZ6TJj0Xxq2ofaJYVeRQxp/rkQkxHl5wgOtKq/tElcaDJcu6iAjAJ88NnX2L589O9ZKDYIknn9yg\n07nE/LwLDA8GOevrgkZjpZizh7XmUE93fX2d5WVRsE6eHdC9UgF1IQR/9md/xnd+53fy6U9/mne/\n+938+q//epXE/sqv/Eo++clPcscdd/DDP/zDvO997+NDH/oQu7u7/Oqv/iq333473/RN33RNjuG6\nZi+UVpYDHlVJ4DjolsussooMqDiEV7S3MqYbBOwd0Lan1+vRthY/z4kHB/R80hY5Fl8oj3teG8hM\nIRQzfVb+jW0ef+IMt33FTWT9jMXa73QR0xW4mK4uHzbrhG6Ucllyz5OV696UEn+kFNi67hFFVVop\n74gsW/Vo/BSatdY6bWsxmYY2JMkOUdSm13PJtE5nB19q5FjBx5JS9LodskxgG6MvRq01aRbTatWA\nOoR0b5Q21m7fzO7jmqnxmsuY35Bs92Ly3KCUYHetx5dNKxUsTEoItMbGceG91h47NZ5IG52PUgJr\n3XV15mh1QVDe9+6nWdbHhBaMT7+fkWSShh8W+reMeNJRtMxjj11geVlWse/z57sIcUu1HyEUIKeK\n47jfCy5eXGdpKSdJ5H9KeOFyz/r8/Dz33nsv995778TvfN/n7rvvBmB5eXkk4dZsNnnqqafY2dmp\nEnNHade1p1vateqVZox70zs1q7Tal+95eFcKuAwfo7kgYO8A/l+326VlLavWYrrTvQajh9oLtqgk\nK4952VhIDn/pNG64kUtpIXYTZ8ya4fly3RBceEEoSV6Ia2udgqIShRFD55mGElUpsC19bE+RaEf7\n8rwG/b5mEOcudhnDvBQjc5yxYNMc29bE8VbBYHCf39vbpKEmXyKzKkAZ18nXBqMeZq/fJQpHz4P0\nPRIzmo221oBqHiBIfrgJKRCRcGXEwO757kg8d9ykBE9nyCQtXNiaF+7ZA3m6AEo5z3bo/QrieMhc\nKH+e5d1Cg8JjZydFiBmQmixLqesTu+KcRc6d26COJ0891cOY54/t26s0eafZhQuPsbwcEUXmPy2m\ney2oaq9//eu5//77rwngwnMAdK9VMq0cr1xeKaVoNBrOu32a3vSM79PvdKZ2L+11u7S1Zsn3kTvT\nBVXIDV4Vyy35oK5yZwaLf0DZZml+2MTe6hEuhEUJcKG7YEwBBLYCXWPLrr7JgeuhSErUlFLgUmlM\nCJ84hjjJMcJiY8nS2BgNASrNkE2fXrZGFHkMBo7BsLd3cdjVomYtFRBaQZzEI2I3xhjiQY+oMTph\nGXik+Sj/N88HCH+Wra2n16ZcNooEGrC70WfpUNC1yDzFDhKU9EdLLiY83cnPjocIer1eTXPBpevS\nfA8RKqRUxAOBVDMIkY991oGu582wvb3PzEyGE423fOELmkbjxrF9B3S7B2tAX7hwmpWVBlEk6fUO\n14q+FibE5VuwPx1bWlri1a9+9ZGOWbf/At2alepf9ex5vaz4mcaPJTAr5VTaWHdnh7ZSLCqF3Z+k\n6Vhj0bkeuWBSyooD3BSCsHc5VShB4+ZVcpFj9wYVXcwYg0C6ZSiMSA5qncBYi/KSgtqUElkAvWM1\nCGTgkZluMT/XWVhjMdpiEkboYgChlPhxhmoG9NI1lBIoVYrNb9GYsmxvSJ8AjzjrjHB0+/0+QWir\nc1IddeCR6lHQ1TrGb7a4tGWupN5lwmwE+/spWaaJ91Lmg8PCCxY/zzBxVpUAV+MoMxI/n/ysQOvR\n3/d6u7V4rrNY7yBDDyE9ktTHC1oIkReiSqU+ccGnEJIsCwlDF57Q2vD44ynN5g0jzAmlAvb3d6c+\nV3mec+nSGktLjWJ18uyA7nhM979EzP+T7ChAd1z9q7SjKCuu2/wBoNvf2aHtebSVQA1ydNFSpmRK\nZFmGzU2tf9nofJoSvP7ll8rWttm7tEf68AaLhXemjYvnutihKDoauEq/3AygIP2XYFs62Q0pEKnb\nzlL80pNV9wj3QmwgPIExoPqwPDafUApUkiIbIf1kA2MMUeQy456X4PJco9e1IT2UCUjy/aoazVrD\nYDBaFluaKwUeK7rIY0TkobUTv7laM5FldzdhZydhSTIB9CP7l0CWovIcYUdB13GiD05WKSWngO7+\nxHEm+S4y8JDSQ+dtlApAOIZNPTQhpftKkhZeISF66dKAPF/C85z7PGRO+Ozv70y05AF3fWZmwPcl\nUeRNVBI+W3bU3YCfDftfHnTLfmnj6l/TrFKfuvoJVn89qG1Pb3eXpudhjGFZCQa7A3Suqz5p1lin\nmlXGr8ae8YYAeSVSfDZi7cMP8w2dmJubrrzTaFcCbAtXVwhcObDJyIyjizlQHR2qlC2kfEEwVBoD\nFyfOcx8tDHluiLqaGU9VIICASApUkiN9hVYJeT4gDC0bGxeJooyw2u/QA2sKxUxzBY2uWBWDwQDf\nny596cILvZH7I88HruOEXWRn5+rjurIp2NobsL0ds3qZF7KxFistLQxko2AppCS3B69QpBQj4ags\nyzEmJQjUSHIsLarRPK9Je+YkSAFCk+eTLxRjLGk6j7VulXjuXA9rT04wJ5SK6PfdtSxlFstzuLGx\nwcKC62cXRYpeb++aUzbrVq5wB4PBNalKvZZ23YPu5SpTDrLL9Uu7kv1d8RzL+QHzWk9t29Pd2aHt\n+2idcwOwf2l/lCkhFb6UkzoAhUUCvDTFHkJdssYgPnOOV57v8MqF4Y1qjAZbit4UVnB185KjW9+f\nGL5HZoRA16rSZKF1AKYYO8RIS54b/J6hLWXlSWEhEBKZ5a6lfFuRZXs0Goos6xNFhupK1Aq2GsID\nnYDqkeOue7/XoRFNj6sKJbFSjxZ85ANsYPD8OTY3r54AH7Qkmzt9trcGHNOH33fWWAyaGQEmHZPe\nVNJV/B1grgx4CLr9fp9oCs0tzfcRgYdAuLhxBbqTL5Q4HuB5S2xtuZflqVMpSt1KvaQDBFIGxHF/\nRGaxtLW18ywvu9CMA93Os9obrTruND1UG+KL0a570IWrA8J6V4lp/dLKsa5Vcm5eCHanMBh6e3s0\nlSLLMm6wlni7j5Ci6pNmzUHKClRxu1khh1SvMbPWknz2Ee65sM1XRaOMAJ0bEKqI6RY/V5DnCdpm\nQwGeGtiWoDmLazRZVl8JKYtwQoaUsgJdrQ2qb2iPuaKRFNhCQtC2DIOBYzAY4zzeBrW4fVESpwoP\nW4h9jHAavEoZlFd/vY2W1YpQugKCwnLdB9/ieQ0GfeWE1q/C/JZicydmb73P0mVoZ1pbtNCO15xN\nAV17OdAdviwc6I7T5NLJcmhxsKc7GMQ0m7MUjUx4+OGcVuuGie2kjBgMutRlFkvgXVs7zcqKe15c\n148hy+HZ6I1W3hOHCUh9sdp1D7pXmkgrmQh1+pfneQf2SztS0K0h1UIQVG17SsvznM7uLpEQaKNZ\n9hVysz8SSzamHs8dNWMtCMm8ADOY/gAnp57kzlNP8k0zLYTwRpasuS4TaS68YK0rkMiyLsIrky/V\nIYx4vXNYbKorQARGRG+0DtDSkgwsQW6JVG07XExXZA50TcswSDaJIsXKikKInMiWqrbVyUQgaAmB\npUuGdl5uo9DgmPLlXGqKAgn301R3Ks/Qsnhoh99pFrQkO3sDdi8cThcDt5w3wjBvwWYTMZpD27CX\nmrql9fudCU83y3qIcJRVc5in2+/3aDZn2NjQ9HoZW1seUTTOKwEpwyq8MG7r60+ysuLEz5vNoPCe\nL9+SZ1pvtKcDxOVz3+12mZmZufwHvojsOQ+6480fwdG/yhY+V5P5PAoAngsC9gohjTKe3Ol0SPt9\nGsrp1S6GPmZjlB9p9binWxM7MQaBYMnaqZ7u4Nwat37mYd7YbuJLiataGoKu44HKkTFRkGX7GvKv\nhQAAIABJREFU4OOAeHSXlS1YO1X0piwFNsYjE5ZBx7BQu1blKlZK4UIIucVrRnQzx2C48ca2KwvG\nDjN4xZfF0rYWZE6WpQiZ4xf6DJXHzWhYh8CBUzlMajpIX+Gy9PNc2rw6T9eLJP0kZ3uty/JlQDfL\nDdazzFmQ6ehJFEocGl4oW/aU1u3uTSTRsqwH4xGxQzzdfr9Du73A5mbOuXP7CPG8qatFIYKpKmN5\nnrO9fZGlJUcW9jyJtVmRtJsuPn61QHxYeKKkiF2vnu5zpiINRkGxvDmSJBmJjUZRdEW8vqP0dEdi\nukHA7uYmg8GgCm/0+31mPI8gCDDWsBB5ZFu9kQo7o83B4QVrsUiWLZhauxtrDPEjp7n5C6d4c7NB\ns0zCWY80ywmCECh5oKMPnVQKbdOiL9rBBzUjJGqsFLguegOSzFqyPcPzxfQXXFMIdvMc1QwYpOsF\nvcliTEqj4A5XJ7D4PmM10rNYqYkib8QTrn+vjiqy5OkAUXjyad6FIkHo+212di06t7UQxeEmhMCG\n0L0YM3/z4Q99mmuEgqYVRGPVho4TfXgb9hJ0nRZClygaRdg878OY9yukxKJHALu0fn+fxcUmnU7E\n5z+/h7X3TGwDLryQJPFEpefGxgazs0V1IhTJZ1eVNjc3NzqPsXCdOw5bfR9vOHmQx1v/fFm0IIRg\ncXGRG2+8cWL7L2Z7Tnq605o/1rtKXOm49TGPymaUYntjowpxlMLrs8W8jDGESjKjLUl36AFZbQ/U\nXbAF5WtGSvyuo2vpQYz++Ke55/On+D9bLeZrfFYpfdKklBOs6S4U7qEQuI4GZJVA+YjVptGQgmCs\nKzD+UN4RYckFpPuGYwecyyZgco1qhgyyLVcthkDqhEDIYReHWmp9xuRuyT4fENQ4srb2Xz3AYEJD\nlver+yUzXVTgqgpdmfEsnf1kEgjqUx6bvhaGWW0nypTHLc01QloaEvx4DHTl5RJpsgovxLGLXXtj\nL4Ys62LHOyILAD1RiGMthW6Dh1KL/Pu/92k0Tkzdt7XupTyuv7CxscHy8ugcGg15xfoL09rxXEmT\nyrLV1QMPPMCNN97I93zP9/DII49cViPhC1/4Ak8++eSh26Rpyv3338/FAwSpjtKue9CFUaL0OP0r\niiLa7Ta+719Vwu1A0H2GIKyEwNeaNE2rlvCDwYB2sT+tNULCqhQMakpWxhjUVJeziOkiaCmJ3+2R\nbFwi/MdP8KatHV4/2yYaS15J6ZEWIQFXTmypboUCZ4SSGJkP1cWAkTV7YQ0lJxpU2prSmJUajcDu\n5iweAE4twGbaJYJCSFPH+RR5H3/qLWqZtRohdBFKHm2vM5lOswhfkuYl0d8WrAwn1O3eMovsbLt7\npt6mZ6RHGqNNK1OtWdSG6UuBoaWZAWWJhMAbB91aIco0c50jHEvgQOZC1oVwLGxReLrG6JFbNo5d\nK3spBdausLPjT02igQNdpSZBd339AktLo+GYMOQZlwJfCRCHYViB4+/93u/xlre8hePHj/Pyl798\nov/Z1tYW3/zN38ydd97JyZMnee973ztVqvHs2bO84Q1v4Gu/9mt53eted82pb9c96LoM+fBElm/2\naZ12j8KudiRjLVnN2xBCsOT7pGla1YyXYjfgChWEENxgLIOakpWL6R7i6VpJ21NwaYcbP/Yp/i8h\neEm7NXns1gGsMaLS3BWiTMJIksSQJobcgCYrmP0HH3hDTjaoJLBkecHVJccA3p4eURerWxuwpZxl\nSxDHhU5CHhPIUS+2BLzIgk82TOBVXw5Ex/ucqcAj1nvVSybLewhfVWMGwQybl3R1jepVXPWx3Dzc\nXBKtWUxN8aKyNb969HTnuUF60FISmYzFWC8Duo66Vcb/exPMBYDYbCHHm3NKgbWug0bd23XA7f5u\nzApCnHCFFFPNR4hJecdSc6FuYWivif5CHYhLYasf/uEf5jOf+Qw///M/zzd8wzcQBAGf+tSnuHDh\nwshn3/rWt/Kxj32M48eP81u/9Vu85z3v4Wd/9mdHtjl9+jSvetWr+NznPscb3/hGPvnJTx75MYzb\ndR/TjYsmhaX5vk8Yhs+4NPCZhhecBJ+uJCBL85RiQQh2d3erWFQpdgOOM+sJj2MC8loyzWiDf4BH\npQtPdc7zeO0g5svaLaKJ4y+XyuUYjsHgmlJKhIAoihymGePmvSzJtcDmBuHapyGFcIIvBcg1lUCM\naT4I3yM1zls15GhAdjWz/gGgawulMXDCN4Nt5uZuAx3jl/59/TwKaAiBf0j5bLld+RcR+OSmgxCO\nzmalRipZAaWUAWkS0etmNFseyZ4mnFMMVbfGB7V4qWE2t9XprXElqk2zzCA8mJsPSDctcuCKXYYC\nQq767zArGQy93h7t9uQ5TPM9ZDhWdCEExuiq3Y9fhJfi2FHxAMLwBGl6MARI6QNypCzeWsva2pO8\n4hWjBQmNxuHau0dl3W6Xfr/P7bffzk/8xE/wpje9iWPHjvHP//zP3HnnndV2p0+f5qMf/SgPPvgg\nd9xxB77v84pXvIK77rqLb/mWb+ElL3kJAH/7t3/L7Owsn/zkJ/nYxz7GBz/4wWt+DNe9pzvejDKK\noiOpxX66oGuBXOtRzd0xRbIFGKlKK8VuoBCfkYLFQGHWhqWVh3m6pmAfKCF42ezMGOAOs/5F4KD4\n8snzsqxzuL0QIJXE8xRho0kUNWhETQK/gZQhxiqyDOcRpwaZW0SSkye6Qhvpq6LtORgycmuRvYM9\n3VlrK09XtCT91MXVbDZwcezyGhSerEAQYvD0lZfvuqq0fYQQaB0jAjXhEVuW2N5JsdZy+sNb9C+V\ngjBuRVDXJQAIepqmLeYka/oGFb8O0lQjPLAGpFA0BZhs2J5HKDCHerpDTV3XLWISJJN8DxmMNeeU\nAotGKUaSab3ePlHRF25h4Us4duxgYZeyT1oddLMsY3d3g8XFcU/XPGuauu4auufl3nvvZXNzk2/8\nxm/k1ltvrbb5kz/5E1796lfzwhe+sMKIF7/4xfi+PxIuecc73sEDDzyA7/u8//3v521ve9uRroyn\n2XXv6fq+z8zMDN1ut4q9XauTdjkA1loXOgbOlJTIAnBtyUUE5vOc3Vrju+7ODqtqqIMghGAx9Mgv\nDTmSRh8S063HZEcnzOiCd5h0FMInSQZERVih/H3tw8PPFh6u66brVWObgvLTQrO2k4NvUR6QWzrd\nHQaDHG1jMIKGFoQHaM6GUuIV3rJqhvSy8w7sdEJQthAa1eYiEAaVG660lkwGnuuWS6kwVhut+GsY\nLnHhwgVW5iztzZzBtqa17JpIliGF+ukUPUOjvCeKuDpCuLNZnOc8t+CBLa7RrBBcTDJkWGhGCIHB\n4LpHjL+U3BhKQZ5npOmAMGwybmneQY1VZbnrbJHSjHSP6Pc7zM9f2WPvPF1GQGpjY4P5eYkau5Zh\naOj1DpaBPAqri92U9/H29jbz8/MT2z7wwAPcc889I1jwF3/xFywuLvLyl7+8+pkQgiAI+PM//3M+\n9rGPcebMmWt6DPAc8HSBkWznUQXBDxpvGqBXXYBLappwmrsHiZzP+/5IgURve5u259VeGtD2JLKb\nkCcFXchYfDtKh6r2r83ovEY822L7wguzxTEJoUjTvObpjsVGx0pCJ9JTBcfW8xQLvs9Ca46VlRuY\nmVnBjxaJU8OZM5LNS136XZgDTG6xU/JOoRR4RaxTNUJ6yYY7BB0Xpc9i4jxGViMPKXkeN+ErcjPA\nWuOYFVPCmEqF5NkMG2f6zHQ1+XpWxXflmDi8yS0yMQS5cdxha92LooiTm+JnSaKxqiyKlsxRJA3L\npF8RrtE6r1ORC+e+8IYF7O93CUMxcf9VDSnHY7oAUiDlkMHgKGc9ouhKQdcr2A5DT/fixYssLU0+\nY43Gs6c05ubmoGtvb2+CplZavajk4Ycf5h3veAfvf//7EUJw5syZqhx/a2uLe++9l7e+9a3PSqHF\nde/pwuULJJ7umJcbzxiDrhG4pXCCNIcpTmHtSIEEQH93l5bvO3pbGesTghUpGOwNmFmduWxMt/Rs\nRuO2ovi/fizFXKVHnjtiOiKYTJRNOwQ79YfMYdFpiifA9z3k7Ay2nfPf7rqHzn/M0fFnWCbBWIXJ\n3HK9ihFLQYDAizPXby7ySPQlt+TWKeGE9+dM2RzPGjJtJroBTzMhBMJ3DSrzPMYG08+lVMe4eGqT\n/80XfPZ8UhwhlEUZ5alZe7LPYlH+q43j01bnv7gGFhgkTsDdaIu1knkLJskKR1gisAUtT1fXcMR5\nxnm6nU6nSKINfw+Q572iIeXktXHPxZCrmySJK5e+wm4ZUnoYMwRday3r6+dZWpp82UWRx+bmswO6\n9ee9/Pe4vexlL+O+++7jBS94AVtbW/z2b/82P/MzP8PrXvc6AO6++26+4zu+g1/7tV/jj//4j1lb\nW+OXfumXnpX5PydAF46eV3u5Krd6kkzAhCDIYbYw1ranu7tLy/OK0MJwu+PAEzsOdK2xeAccW+Wt\n2sPAFkbAGEB4JEmKYDQ+d6AdAMTz1nUFLvcnfY8438UYjdZ9pFacEKooxhhyLl03A40ymnQvodfJ\n8RRo37K/v43RCb4/vfDAkNOSkl6aoxpXKHgSCLJs4Ao3prAAAIJgDn1O88KW5MGNrBB4r50CIeh0\nUh79fMJrcoNQijwzBf+7WC3UXnxxmiM9QaotQkgWrMEkxQumvB5FR+AgKEM9tnaenB7v/v4ey8uj\n+URrIU37RUPK8eMRWAlK6crjGwwGUylnB5mUHlqPJsguXHiMkycbjN8M9Y4f19pKRsNhpcM/8iM/\nwubmJt///d/PXXfdxZ/8yZ/w0pe+tPr9D/7gD/K2t72Nxx57jB/5kR/BGMPXfd3XIaXkJS95Cffd\nd981m/9zAnSvhac7zcqSxToFTCl1RU0pq1IoYD4MR9r29Dod2oWnW7+XT1jLw1uOmWFyM0ykjTm1\nTsh5GHqozsU0z5faX62H1tmUWOJVmIB5lzGqvHQlfKzMsTbFkhP0DfO1MmOXaypjxIpZKWkhkO0V\n8jwnjXqcPr1LuNunHzbRvsHzJJ4nkcpBuzE5bSlYzyZBN7m4i7/QnqBRidB5ulneO9DTBQj2PBZn\ncpYM9LczmktFt4fivD7+eELebbOU9MBzybKRbhVVeAaSRKPmBCZxoNuSVMUk1Qwk5HlateUpB3Hn\nyFV+aZ3SbAYFv3bo7WZZD6KpkOtWE1KTZXkRWuhXzIUrMSl9skwwGAzBdG3tDPfcMyml6MIL+xM/\nP0qrP9tSSra3t1lamtSMAKcY+Mu//Mu8853vZGFhYcIbfuc73wm4GPVXf/VXs7q6ypd/+Zfz4IMP\njoRTroU9J0C3btfC0603pizHVwV38IrHK+cHtD2PpFA5833fge78vMtq1/B70VeYdXfDW2OH4YXy\nWxFDtsYiar3EhhSr0STayEQAhI+xgyt7aRxiLSnx+rXMtQAZSNJ0C+GrSkd3MlHnLJISkhQ/8PED\nH3Oswc3NJXS8yHywQpbn5FlCf5BijPOG8zyljSCPM/yZ4dDJkxdZ+fTjbNz9fKLbjo3M0wauK3Cm\nuwh/+jGbNGc+kxBbbvEFX9jOaS2H1cw3Nvr0unPMaslMbrGBJU0Pji3HqUZ6Et13LZEaCvxBihWi\nzt7D2mGxSnl+hveyxhhLoxHV4r0OeLTuQ1SuaobCQBYKdoYhzxOsNfR6pVjOlPtiirnwgiCOXUI3\nSRI6nUssLEwWUzh5x2sLuqWVnu7a2honTkyvpivtcn3OVldX+cd//MejnN5l7TmRSBuP8RzVmOC8\nyG63O9qY0vefUTM8IUTVtifPc/LBgKgQu6nHFxYDhb5YUK+0qXXNGT40ThlszNMfyVYVSbB6Lqww\nKXyMBnGZMtbLWUNJ/P4YXciXJMkWwgOvlzGj6u/30YfeaeoOK6dky6czOEVYnOtmo8Hs7ALLy8dY\nWb6BdnsBIX1mjaS3k7O9ndHZy+k8coHbHjjN6wKf5lOT8pk2tGRZn1SXYjfjG0De6XOTVFhCbsgN\n+cW8Om15bjh9OicMbybaz5iRCi0saTZdLCfLDJnWSM8xTASCppKosmy6vCZFx9+yq0NVkFHsWCmq\nWOyovoghTbvYUBfECeHyCuX9IF1oohS96ff3CUNvLGFXp8GNvqil9LFWEseOlbCxscHioqytqobW\naHgMBteWvVC3EnSPHz/+rO3zqOw5AbpwtDHdUiyn/m+lFGEYoupC4lc3wXIwwLXt2d3dpdfr0Syq\nbcbDCwuBR77ddyLYuUEZM1J9J4SjpEkFWXaJLN0lz/u17rLTwbY0l50e90Cv3hpSogZjSzIf4vgS\n1hP4iWQuaDP6UA9fBkIKIikQOkcKid9q0UueIBCyNjeHEkIUIBQolpTHTKPN8soJ/O2UL/38Bd4S\nNXmeFxBt7rO7MaDXy0gSjdYWAkua75Oa7khvtYLSgcWi9wfcZixSNJgxYM8N6VLnzvfJ82MoL0J1\nB8yqEINlcEBD0K2tPjQprq27Xm0lEb0xrQWvbE7pzskQdB3AKSWqKrK6WQtJvgOBi2+WjIkSR4US\neJ4DZ993guSNhlcW7Y2MMw2IpVRoTRU2WFtbY3HRMs2/cTHd3pE8f9NsGovo/Pnz153YDTyHwgtH\nBbpaa+I4HqGbRFFUebdH5VGXbXuazWalu2C0HsE/Twrmgd5uD52kwzdkER+21oAVHDu2TJ5lZFlO\nmiakad9xM4UHNkAIDyl9hPDGwguCMFp5xsfSVAo5SBjx90JLHG9hbMYMAk+OcYHHTmMT2M1yZBDg\ntRr0knOEQrkYJsMXlgWMzUEK2sIi44TkqfPc8ZmH+d9nWrQL4aCXZoaPDkDNLbjQRD8lSwTn1jfI\n5TbWCpS2KDn6GmhsdTnmK6QMmNGSbC3FGkucas6dgyg6gdUGb5DSboTkJmYwTQDdwoWNHv58CYiO\nq9CQEGY5Sa6Rpa6FslM7Apfg12z6KKWrWHgZ1LcWEr2LCv36bod/CgtokiRmMOgjRI7vRxOAO2RE\njDMnPLS29Pv7ZFnGhQtnq24RQtiRi+h5EikNSZIQTXtDHKGVFNHz58+PJMeuF3tOgO5RJNKMMcRx\nXHm4ZZ03cNViOVPnWHwvZzevNXt7e8zMzAxB11oQteUjrnvu5lYfkRk8KVDKdXgwVldbiWKOvu/T\nbDYqUHaq/TlJmpAmXfLcgPDB+gjhF0Csnqmj6zr29gYjhSnWtwz2NtEiYUnW3O0D9tUUAlNUpcnA\nRzMgtI3Rj4iCH2EdDauhFObCBs/f6/BdzSZtb5ise6Hv8fELm4jbbwGaCGBgPFobLfZ6PjlNOh2L\nNRrlgec54Ght77PouXMSyCbteJ94L+fJ9Ri4BSEVeS9mXgg85ZOmEE+RT+z1M/p5RqPhYSyIoshD\nIFz3kEGKnCkSUgrMSHVdzWMF2m2fdntcQ8SFHxLjSoCr39VDULKM6ab0en2CQFQrpdGE3fAZqseU\nlQowxiXgwDEXXvACV5zhCnJGC5GiSBYMiWsPugDnzp3j9a9//TXd17Ww/+VBt0ySlTFbcJnPMAwn\nqtyOZOlUjLEgBJsbGywuLlZiN/XwQnlTn9CGs50YZQV+AbhO+vDy+ygFpBuNCITAGhffcx7xgCTZ\nL4A4AOs9bSD2hCA0TthHeL7z7PyMOLmECVJWy/N2yJhOaawGXpHA251eHmtMDhJmPcWLt3Z449yM\nS9TVLs+NUUjr0jbdNEMGLgWpQh+henhBTnNpCel5GGPReU6WZ6T9PnP7KWEjILMGCFjpWx59rMul\nuEWz6XoZ637KKuDoAR79bgajjh8bm31Eqwgt6NFS62Xg8TjFq0DXVi+c0rutTtmIdztpadYZLQGu\ngWkZ0zXGrd6iyFYkmtGEnfteB2IoPUpFlqU0m002Np7i1a9u1Ik4I89EEMD+/j6zs7Mj9MkjFZwq\nkmjAf4UX/jPt6YBu2VEiTdMRj3aaWM61iFPNBwGPr6/TvemmSuxGa13xV0tb9RVyK8bieJ3G1Jey\nowmX4XNUtkSv/bSIh457xNaYgh2QkSQDkrSDzqk8YlkAMZdhOMwIwV6cQcstmYXvEScboBJWxwBp\nmrVtqUlQTDfM8Q+oODM2A2U5Fga8NaitQuqhGSF4MfCxzR0aNx3HYpFBQJxuoW2MKBKhUgpkwZrw\nBhm3RRGNRqOqLLvZ+Pz9A330rV9CnmuUZ8n3+hwzjo4nRESm3cvLKxgRxljWt3oEJ9zj5UqAh4m7\nY9Zi+sMXilXGifAUEo5QeqKHJ4ittaR5hzCYXpElJChlyXNNHPeIolIfwo6ArhuLiZ+58+Ozv99h\nb2+PTucS8/MnAIFSsgbgzjFpNAS9Xq/gX9dzD2KqRu7VgHH9GSw/t7u7O7UE+IvdnhOgW7fLAWSZ\nJIvjeEj/UoooiiYYCUfm3brBRv45FwTsXrxYid1orcnStIjD4brjCsFS6JNf2IWlJpKxG69cbpc/\nq+2rpIqOx0PH2fVCCALfJ/B9mk33WWNMFSNOkh5pmmEyOQRi6WLElKwHCzOATmJUK0IgUIGPFSlh\n2md2mhD6mM1YU3l7ALaR4+uDPN20unMPe3BfpCSfPLcGNx13RQa+xyC7hIxUwRG25f+AJevsc2vB\nlRVKIpEcb8yz0AN17A7yzHnEprPBnHaiPwKPQWq5dKnP4mKDIFDs7sRo3xAWDIlxbYxFIVC9WuJR\nQa7TGuCKCnQPs1ItbUTzuG7SHZcxOd3uHqur5XaidjuKYp/TgVhKp9Fx/vx5FhdVwVywVXOA+lez\nWSqa+bXiF1MVE9Xt6QJx3dO9Xu05AbpXShkr2/eUN4CUkjAMRxpAjo8L18bTXSgKJHY3N1m1Fl16\nB4IC/B2NaM4XpBv7+DMhqjzOMbA9zCaBWIx4wdOAWAonAhIEAa2WYxiYoo9VmmZFOCbDWtdvDXxm\nTI6OE+dJUcRlRUKYJsxcAb2uDYhkCLLC9/HMztRttUku63kD3ByGNNY26Wcp0vMQnofwKZo4Fmen\nIHhgBY2dPY6P8IktK1GDRi8lhYpH3EoNy80WURhgjCGVe+zstNnezjAmZrfbIZ0zqETjebIA3eE5\naCtJuD+olvUogTaDK/Ju65ZlXQgP2VYCOHlHx9E9rHJvEohdyCFAypgzZ85UmgvDpNuoExAEhl6v\nV4FpxciBCnwPA2IY1VEZ/w5OJ1sp5Vg/zUnxn+vBnnOgO01pbFqSLAzDyybIpoLu0wTg8UTajO+z\nc+ECexsb3OZ5hYqXdBqvBTPBWktTCvw4Jx+keFM8g6c9l/IBh8sAsXMFpZQVELfbztvJtSbPMtIs\nZznuk/Y/h+hfAGbIc4nIFe04YWbu8o0DQylR8ZBKJTyPwEwXxdY2rqrfplox9UAKvtRaPnlph8YN\nqwgEIpDgT/msAH97l6XAr10sQSgVC8aw1otR7SZgkftd5jxZ0Nck0g+YmV3kS+64g263yyf+v08Q\nzbbJspR+LyVJNXlOxcWdlRKvOyAtJyolmvTQ2O00y7L+VOGe6jQIdx85eUdT9TS7vA0TeUL4eJ7k\n/PkzrK46yc96SKGMCbtWOppOp1Opkkkpq69yFVmuHuul4OPfx60s+S27SZSNK9/+9rdf8bn6YrLr\n20+v2TQwstYSxzHdbrcCXAcaT7+jxDMFvTK8IYwhNIbNtTXmimaZcZJgGHoCbn+SVSnp78QH9kg7\nChMMkzblC2CqRqw7CsAJskdRxOxMm5vn2rz4tlv4intO8mVf3ubm2xJk8ARetotvtsmzPcch1tnU\nF5eTdxx6uspT+CaeSqXSJj1Y5GZsifxlUuCf3yiOAQgkBJMPtslzgm6f+SntiZ6HIO/1XOGCBS9O\naCuv2sB6Hjvbuxhr2d7ZRs16tFot5uYWWV49TrM5i+dFSBlgtCIwknw3prOX0e/naANpNrjq97kr\nAT7knlAu6SilmKpQNs2GgFicAhESBIInnniIlRWnuVAu8ZVSKOXheQqlFI2GIEkG1X6MMcXqKCWO\nY+I4JkkS8jyvuO9lHiWKIqIoIgiCCXpm+TyEYcjv/M7vsLKywnd/93dz7tw5PvvZz04F6izL+OAH\nP8i//uu/Hnq8xhj+4R/+gb/7u7+bOs61sOeEp1tfzpRvyzKUUNrT6ShxrcILpVDOou9z9vx5djY3\nuf+hz5CKhGBl6LqUYHcCeCTNuUJxqCMzMfrHZCiiZk1PYHcHRGFEFEbMNefITyQctz2OHWs5jzjN\nSJI+WVZyiEvqmkckBKp2vVSm8SJBr3+emfatI/syNik6XtRsIgnk5vy8RkTjwjqZvrPqwTZNdyHf\n73O8eOGM2/OwfHynAzesogcx84iRqizlR2zvdZBCcHb9HMFSeQ3dKsEYi5QeSnngQUDAQm5JgzmM\nkvRNwsXNmLzfp9EQNBqGZtOj2fTx/YNXN3newzYOAYrC0/U8CA7RmijnOgq27hwKEaCUZXd3g9XV\n6Qm7MjTRagUkSdclImuhhHpIYTzJ5vYlKsGo8quaVe15jqKIhx9+mF6vx1/91V/xV3/1V4Ar9f3A\nBz7AG97wBgAefPBBvvVbv5XHH38cgJ/6qZ/iXe961wSVbX19nW/5lm/h3/7t3wD49m//dt7//vez\nsLBwmXP1zOw54+nWrd/vV4CrlKoaQF5tAP7ICi4KhkBpSkryLOPS6VP8v5/+F9Z2n4Bj0LypiRd6\nLv5avkiAG6x1RP5r6OkeZJbC+zGG+hMpiodDFF8tT8F+Up0zFSoG8YAVIYYe8WybldVFTpxYZnWl\nzeKiotlMEXIPZbfRvTV63dMMBhuIpEfYCtiPHx9jbLgEUgW6lhpLYxRwERApye3akG65+LANDXaK\np5t39rn1gOu87Hs0LrnP60HMythlUF5AnCRs7+wQm5igEVSrBIQopDdH771FKVDa0Gw2mZ2b54YT\nN/CSl7yam276b0TRl7K3t8CpU5rPf77P44/3WVvrsbsbk6a6uh+TrDPRkHJ0YuD6pBkcQL6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kl0xdl6wnywkt3dJEESzj6zdmcvBs+jKElgHBp03tkZrbaBs5DjpiAt//evdHQzh5MitRSsuFnE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\n/lwl06GzlXSet759M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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from mpl_toolkits.mplot3d import Axes3D\n", "from matplotlib.collections import PolyCollection\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "\n", "fig = plt.figure()\n", "ax = fig.gca(projection='3d')\n", "\n", "x = np.linspace(0, 10, 30)\n", "colors = ['r', 'g', 'b', 'y']\n", "y = np.random.random((len(colors), len(x)))\n", "y[:, 0] = y[:, -1] = 0\n", "\n", "edges = [list(zip(x, yi)) for yi in y]\n", "\n", "poly = PolyCollection(edges, facecolors=colors, alpha=0.6)\n", "ax.add_collection3d(poly, zs=range(4), zdir='y')\n", "\n", "ax.set_xlabel('X')\n", "ax.set_xlim3d(0, 10)\n", "ax.set_ylabel('Y')\n", "ax.set_ylim3d(-1, 4)\n", "ax.set_zlabel('Z')\n", "ax.set_zlim3d(0, 1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can use the new package to quickly reproduce a [recent XKCD comic](http://xkcd.com/1235/):" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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mJoYXL160OO7s2bMcOnQou3TpQk9PT7OF7wB46tQpkmRycjKXLVvGrl27MioqilFRUVy6\ndCnz8/NLvX9MTAwjIyPp6OhoEexl//797NmzJzt16kSlUml2Tw8PD6anp9NoNJYaaGHQoEGsUqUK\ns7KyKlw3R48epbu7OwEwICCABQUFZvvv3bvH559/XpRHLpfT19eXSqWS8+bNq9AzVITDhw+zT58+\njIqK4pQpU3j69GmLY2JjY9moUSNxn8aNG3Pw4MFMSEiocD2UhS3BWoqKirhy5UpGRUWxRYsWFm2n\nXbt2f+r+1t59UVERt27dKtrgm2++ybS0NJuuaes3IZGbm8vZs2czKiqK0dHRXLduHXNzcy2uaTAY\nuHv3bq5cuZILFixgTEwMb968WWZZCgoKuG3bNot6fuuttwiAr7/+epnnX7p0iT4+PgRArVbL5OTk\ncp7eOllZWfzyyy+Zmppqtj0vL49z5sxhVFQUn3vuOa5Zs4bZ2dlmx5T1fUZFRdHf37/U/sHOP4+E\nBLJXL9Ikrsk6dci1a8kS3a9Ncu+pEtTnzp0jAK5fv75C550/f54NGza06DhlMhlfeOEF8cHdv39f\nCKwWLVpw4MCB/Oqrr7hp0yZu2rSJBw8eJGkS0g0aNLC4HgD6+Phw8+bNZvc3Go2cPHkyAVCtVjM6\nOpoeHh78+eefSZoEkoODAwGwc+fOHDlyJDdu3CjuKwmo1atXU6lU8pdffrF4Rl9fX+r1emZnZ3Pq\n1Kns1atXmb9du3aRJG/fvk13d3e2a9eOU6ZMIQBOmjRJXDcxMZFBQUEEwL59+/Ls2bNW69jWZ7CV\nX3/9lQqFgi4uLoyOjqZaraaLi4t4ByRpMBjo7e1NAOzatSsPHjxIo9Fo8z1sraezZ88yLCzM6jWS\nkpJ469YtkuQHH3wgovT16NGDb775pnj+TZs2MT4+3qZy3blzx2LbM888Q41Gw5SUFLPj/Pz8CICe\nnp6inmJiYsq9h63fRHEGDRpEAGzQoAGbNGlCAOzSpYuZsO7SpYvV78LLy4ubNm0qtTzx8fEEwM8+\n+8xse5s2bQjA4psqTk5ODn18fNiwYUPOnj2bCoWCffv2Ffu3b99e7nueMWMGSXLp0qUEwGnTppnd\nY8SIEQTAsLAwNm3alADYvn17s3pasGABVSoVz507Z1FGjUZDX19fGgyGUp/Dzj8Do5HcuJGsVMkk\noF1dyY8/JksbC9gi954qQX379m0C4CeffFKh8xYtWkQAfO+997hhwwZmZ2fzxo0b/OCDD6hQKMQH\nl52dTS8vL3bp0qXMEdTEiRMJgKNGjeL9+/dZUFDA9PR0zpo1iyEhIXRwcODGjRvF8VOnThUdnDTS\nu3HjhrjHtWvXCIBTpkwp8zlWrFhBAAwMDOS9e/fM9vn6+jIoKEg8r4uLC6tWrcrg4GCLTtPV1ZU7\nduwgSc6ePZtyuZxXr14laQpX5+joyLt375Ik3377bVF3ZWHrM9hCYWGhUA6WLFlCkkxISGCDBg3o\n4uLCw4cPkyQzMzMJgA0bNnyokYqt9XTy5ElRtyXZtm0bn3vuOZLkmjVrCIA//PDDQz45uXfvXspk\nMv74449m21etWkUA/Pzzz8W2sWPHEgCHDBkiQvXaGqbV1m+i+HMCoK+vL+/cuUOj0cgvvviCDg4O\n7NKli7DCSO+tTZs2XLduHWNiYsSouHLlyszLy2NaWhpHjRrFCxcuiOsbDAYGBgaydu3aZs/g5ORE\nAKI9WuPLL78kAKH4vvHGGwTA33//naRpRBIQEEClUslWrVpZVSTGjh1Lkty6dSsBcPLkyeL6u3bt\nokwmo4+Pj7AMbNq0SdST1Pbef/99IcyLK1SkSVD/61//sund2Pn7cv8+2aPHg1F069bk9etln2OL\n3HuqBLXUMb///vsVOm/RokV0dHS0ahJcuXIlAQgTbnh4uJk2bo3Zs2ezUqVKVrXjnJwcAmCVKlWY\nn5/Pw4cPUy6XMywsrExznC3CUBLUAPjaa6+Z7fP19WWrVq3E33l5eSwoKGBKSooQoBkZGczMzGRe\nXp44rnPnzqxRo4b4e/fu3QTAxYsXkySHDh1qcwdjyzPYgvROjhw5YrY9OTmZYWFhbNKkCckH7SE6\nOvqh72VLPe3evbtMQd2xY0eSJtO/tXJXhJ07dxKAGKVLpKamUqVSiZH90aNHqVAoOGjQoIe6T0W+\niYKCAtatW5ft2rWzMHWvX7+eAIRiGhQURB8fHwuFQRppp6enc+/evVa/44MHDxIA165dK7Y5OTmx\nVq1aZY5EX3nlFQIQ1pQzZ87QwcHB7BspLCwUZW/VqhUbNmzI5ORkZmZmmikkn3zyiZmgLioqYv36\n9dmyZUsLK8OWLVsok8mE8iQJagBihC6h0WiEQmfnn4fRSMbEkDqdSUC7uZErVpQ+ii6OLXLvqXIm\nc3V1hVKpRHp6eoXOk8lkMBgMVjMZ3b59G0qlEj169BDbNm7cKFLJSSkqr1+/Lvb36tULSUlJ2LRp\nEwoKCnD48GG88847+Pe//41XX30VgMkBQC6XY9y4cSgqKsLChQvLzVw1depUkcNVr9ejXr16Zg5i\nCQkJAAAfHx8sX74cx44dA2DKbpWRkYHWrVuLY6VUfCqVCgAQFhYmUudJucLz8/Nx4sQJNGrUSJzX\nqVMntGnTBvv37wcA6HQ6s9SIS5cuFeXr27cvVqxYUaFnKI/CwkK8//77mDRpEpo1a2a2T6vVYuHC\nhTh+/DiuXbsm6mP37t0YOXIk/v3vf+Pdd9+F0Wi0+X621NOBAwcqlEEnMjJSPL8UC7+iSGsnJTw8\nPNCgQQNcvXoVAHDlyhUUFhaiQ4cOyM7OxkcffYTffvvN5utX5JvYunWrcNQqWa7+/fujU6dO2LRp\nk9gWHR1tlo3o3r17+Omnn9C7d2+4u7vju+++AwA0btzY7FrNmzeHv78/XnnlFfzxxx84c+YM8vPz\nUaNGjVJzcJPEsWPH0LBhQ+HlHxISgqFDh4o2DJhSSUplV6lUCAwMhFarFZmWJK5duwYAovzffvst\nzp8/jzVr1pgdBwA9e/ZE9+7dxbMnJCTAwcEB3t7emDt3Ls6ePQsAIkNU8e/Tzj+Hq1eBTp2AIUOA\n5GSgfXvg7Flg1CjAlnTnNsm9R6dTPBr0ej1HjRpVoXMuXrxIAPT39+f27dt58+ZNZmdn86OPPqJS\nqeR//vMfkmRKSgrd3d3ZpEkTzpw5k02aNGF0dLSZGVsiPDycbdu2Zc+ePYUWXaNGDUZERPC1114T\npmmNRsNWrVqVOXd64sQJMTKcMGECIyIiOGzYMB44cMDsuMjISPbq1YuZmZkMDQ1lcHAw7927J5wN\npk+fbnHt3NzcUuc3Tp48SQBs2bIljx07xhkzZrBGjRp0cHDgM888Q9Jkotfr9ZwzZw5J07zo/Pnz\nOXfuXD7zzDMEwPPnz9v8DOWxefNmajSaUh3Pbt26RQBcvXo1t2zZYmHCdHZ2tjA72kJZ9TR58mS+\n9dZbFtszMjL40ksvMTg4mCS5cOFCAuCECRM4ZMgQRkREcPLkyWJawRakEXViYqLFvmbNmgnrx7lz\n5+ju7k5XV1fhV4H/nzO+fPlyufex9ZsgyaZNm5r5LZRk3Lhx1Ov1LCgoYFBQEGvWrClM1bGxsQwJ\nCaFGoxEOWk2aNGG9evWsfhMTJkwQ70Eyt7du3brUe6emphIAa9euzSNHjnDJkiUMCAigo6Mja9as\nadW5q2PHjuzXr5/V60m+JIcOHSJJtm7dWpjFSzteo9EwLy+P4eHhHDFiBFNSUujn58eIiAimpKQI\nK9WiRYtKvY6dvycffUQ6OZlG0VotuWaNaXRdUcqTe0+doA4ICGD//v0rdI7kqAKYvI+VSiV1Oh0V\nCgXHjx8vzHQXLlyweY5x9uzZFgIiJyfH4jgPDw926NChzGtJ5sP79++XeVxkZCSHDh1K0uRspdFo\nGBQUxH79+pXaEdgiqIv/goKChMe2ZCpct24dFQoF9+3bZ3b+lStXCIDbt2+3+RnKo1+/flYVDokv\nvviCjo6OjIuLo9FoFN7VS5cu5aVLlyzm7m2lPEFdrVo1Tpkyha+99hoDAwPp7+8vVgU8++yzJMmX\nX36ZwcHBFXJoK0lpgjoxMZFyudzsHd+9e5cffPABZ8+ezT/++IOHDx+mi4sLGzZsWO59bP0mbty4\nQTc3t1LrNTc3l02bNuWQIUNIPpijVqlU9PPzo1wup7u7O48ePSrOKWu+tlevXgTAs2fPcubMmQQg\nlERrSIK6+M/Pz48uLi4EYDYPLlGWoB45ciQB8OTJk4yPj6darebt27etHpuXl8dWrVqxT58+JE3K\n+7hx40iSBw4coFqtZlhYGKOjoy1M+nb+3hQVkZMmPZiLHjzYND/9sJQn954q0zcAuLi4PPR65uee\new7Xrl3Dm2++iVGjRmHv3r1YuHChMHNJpgVbwpP27t1bXLNWrVooKCjAzp07LY7r2bMnDhw4gJ9/\n/tliX1JSEgwGQ4XuK9G4cWPs3bsXV65cwddffw2ZTIaePXvafH5xIiMjMXv2bMTGxiI2Nhbjx48H\nAJw/fx4AMHToUHTs2BGjRo3CxYsXAZjMfNHR0fD09ETbtm0f6hlKkp+fj2+++QYhISEW+4xGI774\n4gsMGzYM8+fPR/Xq1SGTyeDh4QEAGDVqFAIDA+Hl5fXQ9y+L27dv49SpU3BxcUHfvn2xfPlyHDx4\nEJGRkcLkmp6eDjc3t0cSaIUl4gzt378fRUVFaN68udjm7e2NyZMnY+rUqQgPD0eTJk3g5uaGunXr\n2nyf8r6Jbdu2QavVWq3XxMREREdHIzExEe+9957ZPi8vL/Tt2xdvvPEGfvrpJzRt2rTcsty7dw/f\nffcd/vOf/6BevXqi/V24cKHcDEb169fH9OnTceLECVy5cgXz5s0D8KAN28oPP/wg/r99+3a4ubnB\nx8fH4rjk5GT06dMHN2/exNy5cy32R0ZGYufOnTh9+jS2b98OhUKB7t27V6gsdv43MRiA5583RRdT\nKIDPPgNiYkwBTB6WcuXew+sAj4dWrVoxMjKyQudIowdpNFoaM2bMIACGhobypZdeYkREhPg988wz\nFma0gIAATp48mTdu3GCtWrUIgB9++KHZMVevXqVGo2GdOnV47do1sf23335jzZo1+eOPPwqNu0OH\nDuzbt6/ZfV944QVxTvERtcS7775LABw2bJjVZ7JlRH38+HGz7Tt27LAYAWRnZ7N9+/aUy+Xs0aMH\nq1SpYjZSsvUZyiI3N5dKpZKvv/46DQYDCwsLeevWLe7YsYMRERF0dnbm0qVLzc6JiooiAIu13xWl\nvBH1mDFjrJ7Xr18/4Uzm4eFBhULBYcOGsW3btmZ1ULLcpSGNqFetWiW2ZWZm0svLy8zSkJaWZjbK\nTU9PZ9++fQmAV65cKfc+tn4Tc+bMoYuLixiZpqWl8erVq5w4cSLd3NwYEhLCuLg4cXxQUBB1Op2F\n01lxvL29GRISYmZ5MBqNfPbZZ6nRaISD27Bhw8QoOTg42Kw+IyIieOzYMTGi3rJli9k9Tp06Vep0\nUGkjasmiBoCXLl3ikiVL6OTkxDNnzpA01fG1a9c4ZcoUuru7s06dOrxezGW3+Iha4vXXXycAjh8/\nvtT6sPP3ISWFbNPmwbKr779/NNctT+49VbG+AcDd3R137tx5LNeWnIdu3bqFu3fvAgBatmyJatWq\noWvXrpDL5eLY9PR0JCUlITAwEL6+vti/fz/atGmDsWPHAoBwKvPz88PevXvRtWtXBAUFoW3btvD3\n98fatWtRr149tGnTBitXrgQAHD9+HDKZDDKZDJ07d4ZGo8HIkSPLLPObb76JLl26WB2FAsClS5dK\nPffSpUuoUqWKxblRUVGiLiTUajV27tyJRYsWYeHChahfvz4++eQT+Pn5mdXdwzyDhLOzMyZOnIj3\n3nsPW7ZsgVKpxKVLl6DX6zFp0iQMGjQIVatWtelaFaWsegIAvV5vdXtx5yonJydkZ2fjm2++AWBy\nAuncuTNcXFwwePBgm8rRsmVL1KlTB++++y569eoFjUaDSZMmIS8vD8OHDwdgsi7Uq1cPd+7cQePG\njeHo6IjY2FgkJyfjk08+gb+/v033soVhw4Zh6dKlqFevHpo0aYIzZ86gqKgIdevWxY4dOxAZGWnm\nOAYA3btP9Ni8AAAgAElEQVR3t3A6K07v3r2xdOlS7N+/H23btgVJTJkyBXv27MHGjRtFJKa5c+fi\n+PHjOH36NC5cuAAXFxd4eXmhY8eO4huVyWRwcHBAmzZtzO4RFhaGwMBAi3sXFRXh6tWrVp0D09LS\nAAABAQEIDAyEXq/HokWLEBYWhiZNmuDcuXMoKChAnTp1sHXrVkRGRkKhKLuLnDt3Lvr3748GDRqU\neZyd/31u3AC6dAEuXACqVAF27QIe1WsvV+49Gn3g0dG/f38GBgZW6JysrCx6e3vz5ZdfLvO4nJwc\nq8FErBEfH88JEyaYjRxu3LjBwMBAq3NjWVlZXLhwIUeMGMERI0bwvffeEyOHxMTEUgOJFMfaiLo8\nDh06xMqVK1sNtvH222+Xuuxo5syZYr2yLdj6DLZw8uRJjho1ih9//DFPnjxZ5rHffvvtI1kSVlY9\nTZ48udR587Nnz/LEiRMkTdGxrAUrqSj79++nSqVizZo12bBhQ2o0Gv76669mx9y/f5+rVq1ix44d\n6efnx8mTJ4t1w7Zg6zdBmuZiP/roI44ZM4a7d+8u01kvKCjIbA2yNVJSUqjValmtWjW2a9dOBE+Z\nPHmyxfx+amoq9+7dy3379pktK5RYs2YNnZycrN5n9erV/Prrr8225efnMzAw0GpQGMkpMzw83Oz4\njz/+mKNHj+auXbusOvlJWBtR2/ln8NtvpJeXaSRdrx5ZTiC+ClOe3HvqBPWLL75Ib2/vCp8XFxfH\npKSkx1AicwoLCzlz5kyLdbCPguHDh/Oll156ZNfLyMgwc/KxY52ffvrJzMT5V3D69Gm+9NJLHDNm\nDC9duvRY7vE4vonu3btz9erV5R73888/s1OnTpTL5QwJCeHXX3/9UE54+fn53L9//0OU1JKbN29y\nyJAhFlNBttKzZ09OnDjxkZTFzv8OmzaRKpVJSLdtS5aIPvtIKE/uPVXZswBg0qRJWLJkCfLy8v5x\n2ZGkRBelmWHt2LHz5MjNzUVhYeGfcqi087+D0Qi88w4wc6bp72HDgI8/Bh5Hdtvy5N5TN0et1Wph\nMBiQm5trEYDg746zs3OZc3927Nh5ckhBc+z8/SkoAAYMALZsMQUtmTMHmDABeFxjx/Lk3kML6pMn\nT+Ls2bNo2rSphVNHbm4uli1bhosXL+I///kPgoODbb6utBwnNTX1Twnqu3fvwsXFRTiuFOf27dv4\n6KOPEBQUhGHDhj30PZ4Ely9fFlHVJG7evIm7d+/i22+/RVxcHA4dOoThw4dj2rRpFo5AtnDr1i14\nenrC1dXVYt+1a9fwySefIDw8HAMHDiz3Wt988w3q1KmD2rVrm20nibNnz5qlBtRoNAgICKhweQEg\nLi4Oy5cvR3BwcLmRwk6cOIGvv/4aOp0OkyZNqtB94uPjhSOiRGhoKBwrqGanpqaKKFkStWvX/p8a\nrV27dg2pqanib6VSidDQ0Ie2hBkMBpw5c8Zsm4+PD6pUqfKnyvlniYuLQ2JiovjbwcEB4eHhD/Vt\nWUN67rNnz+Ls2bPYt28fPD09hVOnnb8WEhgzxiSkNRpgwwZT5LHHSblyr6K29OzsbI4ZM0Ysc3Bw\ncOCXX34p9t+8eVMsZXJ1daVWq+W3335r8/WloPkPO4/0yy+/sF27dnRycqJOp7NIHXbr1i36+/uL\n8m/bts1sv5Tqr2HDhgwMDGRgYCC7du3KY8eOWdzr1KlTHDlypDiudu3anDp1qoVDSkxMTLkpINeu\nXSsipN29e9dqYJGkpCS6ubmJmMJFRUWcP3++SGzg7+/PkJAQtm/fnq1atbKaIaksDh06xMjISCqV\nSlauXJk//fST2f6rV6+yevXqou727t0r9mVkZDAmJsZsHnL79u2UyWRi3t1oNHLRokWsU6cOa9as\naRHIoniawL1797Jfv36ibuvWrcsPP/zQaprP4m0OAHfu3Gn1+fLz8zl48GDKZDK2a9fOZucsqU0F\nBgZSpVJZlPv7MtZo3L9/X7SdK1eusEePHgwMDDSLNib9pKV/trbB48ePl+mDkJGRYbZksCxu3bpl\n0xK4bdu2sVGjRgwICBDZ1KSfWq0W9zt37hxHjRolyh8YGMiJEydatOvMzEyOGTOGgYGB9PLysqiT\ngQMH2lR+W7l7965Vp7WS7Nmzh82bN2dAQAAVCoVZmZRKJU+ePMnLly//qQQtpKmepAiA7u7uDA4O\nZocOHVivXj2uW7fO6vFRUVEMDAxk48aNOWfOHHvGrkfM9Omm+WhnZ/KvcvEpT+5VSFDn5uaKtHRD\nhw7luXPn2KBBA7q5uYm1nePHj2dERARnz57N48ePc/Xq1fT09BSes+Vx7NgxAuA333xTkaKRNAka\nV1dXKhQK9u/fn0OHDhVRpUiTYGvUqBFDQ0O5fft21qlTh1qtlhkZGeL5OnXqRAB0cXGhn58fa9Wq\nRZlMRgDs3bu3iE524sQJEbmqSpUq9PPzY+XKlcUHJzncGI1G+vn5sXnz5haJDO7du8eioiImJCRQ\noVDQw8ODJNmpUyezcklI66JHjhxJ8kGWr4iICO7Zs+dPRczau3cvnZ2dqVQqOXjwYA4YMIA9e/YU\n+wsKCsRa1x07drBWrVr09vYWXvGbN28m8CC7VkJCAqtVq0YAIvyklAXJ1dWVr7/+OpcuXcpTp07x\n9OnTPH36tPA23rZtm+gca9SoQT8/P3p4eBAAvb29zRSIwsJC1q9fn+Hh4dy+fTtr165NvV5vIdDz\n8/MZERFBV1dXfvTRRzZ3bgUFBXR1dSUAkdryyJEjosxSu9+4caPVUJijRo1i06ZNSVKkTm3VqhWn\nTJnCPXv2iOucP3+eRqOxQm1w5syZVKvVFh93VlYW09PTuWrVKqrV6lIF05gxY0To0Pr161tVRklT\nJ2I0Gnn+/HlRjpEjR3LWrFk8efKkeAbJI/7MmTPU6/UETOkv/fz8hBB2dXXl8uXLxbWlhBsBAQF8\n4403uH79enG906dP2yRU9+7dy5CQkDJ/7du3J0m2b9++1IGDlC87Pj5etL/nn3+e06dP5++//y7K\nJGXYWr16NeVyuYWilpeXZ1O+7OvXr1Ov11Mul/Ott94q1/EvNzeXVatWJQCOGDFCJELp0aOHXVg/\nIj780CSkHRzIEmO4x0p5cq9CgnrdunUEwNmzZwuh8NFHHxEAFyxYwOzsbLq7u1sEJ+jWrZvwliwv\nTd/169cJwCbP0uKcOHGCrq6udHZ2NguFWbzDjo2NJQDRUUjZfGbNmkWS/P777wmA/fr1E+kqSdPI\nZfTo0VQoFOzYsSONRiP79+9PhULBtWvXikAp+fn5XLdunVBmJEvD6tWrCYB//PGHuObp06epUCh4\n+fJlFhYWMiAggBqNhqQpYANgioFcvL4kQT158mQmJCRQqVSyefPmFgK9ohw5coTOzs50dXXlf//7\nX5ImBaN43f3+++8EHqRh3LVrF4EHYU03bdokRhxxcXGcOnUqg4KCOGvWLALg4cOHef78eQLgmjVr\nyixPSEgItVqt2Yg9PT2dixYtYlhYGFUqlRAqZ8+eJQCuXLmSpMmDGzDPRJOfn88ePXpQJpOZvQNb\nad68OVu0aFGmIiSllfztt9/MtkdGRrJt27YkTV793t7eZQqfirTBlJQUurm5mWWRKioqYtOmTTlt\n2jTeuXOHALh161aL+0jBP6RALeHh4aWOzjUaDe/fv8/c3FxqtVqOHj261PKT5AsvvEC5XM6VK1eK\nUXpBQQFjYmLYoUMHszYgZfL6M57vCQkJ7NevH6tVq8aRI0fSzc2NgCl0qre3N729vUU873bt2pVq\ncfH39+e5c+dYUFDAWrVqlZtlLy8vj76+vuzdu7fZ9l69etkUBGj8+PGUy+UWS8xK4+WXXxaDJKlf\nWLNmDWUyWakhU+3YzqpVD0KCVlD8/GnKk3sVEtTffPMNAVMu2vnz53POnDn08vKit7c3L1++zB07\ndrBatWoWJrSOHTvy448/5pkzZ+jt7c0XX3yR2dnZjI+P5yuvvGJ2rJSOcOHChSJof8lfyTWv+fn5\nbNSokYU5tiSSUiF1SJKAlKIoXbhwgTKZTOS9LUn79u0JgD/99BOnTp1Kf39/q0kBpPyiUoKFwsJC\nOjk5iZjBRUVF7Nq1q0hpmJiYSCcnJwtBjRIRmSRB/emnn4oXW1wpSUtLY1JSUoVM3tnZ2QwNDaVc\nLhdC2hoffPABAYgoTrm5uaxRo4aI6SxF3ALAatWqUaFQcMuWLbx8+TIBUxKExMREAuA777zDpKQk\n8StZ3ueee47dunWzWg5JkHXp0oUkuXjxYjMBWVBQQD8/P9avX18I1rVr1xIAX3zxRZvrpTjdu3dn\nvXr1eOfOHVHmkiMm6dsoGaFMo9Fw/vz5JE3rtT09PXn58mWz5y+ujFWkDZKmZR0uLi7CpCwpTCdO\nnGBRURGDg4OtRrX7/PPPCYDXr19nZmYmK1WqVKagltaf+/r6slevXkxISBDlLzmt884777BGjRpW\nR3lJSUkETLmryQd5sH/44QezOnmY/OMSo0aNYq1atSyuIQngsgS11L4jIiLYtm1b3r9/X5Qp1cq6\nnBkzZlAul/PcuXMkTUqvrRbBoUOHsmXLluJvg8Eg7lVSKbx+/TrlcrnVuOhS6s6HnS60Q27eTMpk\nJiG9cOHjucf06dOtyrPo6GgzuWeNCs9RF8/JKv2kEItr1qxhSEiI2fE7duygl5cX7969y2nTprF3\n794MDw/nrVu32KhRI4t5UCnU4+zZs0WnXJ6g/uqrrwiA3bt3L7PsgwcPpqenpxAMBoOBy5YtI/Ag\nQUV4eDijo6NpNBq5efNmTpgwgR06dGD79u3p4uJCtVrN+Ph4kU1q+/btvHfvHj/99FP27t2bHTp0\n4L/+9S8CMDMdSx9TfHy8GPVJI25J6FauXJmFhYUiQ5Gvry91Op0InCKZl0+ePMm0tDS6u7tzxYoV\n4h7Ozs4EQDc3Nz777LM2fbjSiKa8vMfR0dFmo0GDwcA5c+ZQLpeTNCkjMpmM4eHhlMlkHDBgAElT\njmlXV1ceOnSICQkJVt9nnTp1zDqmmJgYOjg48OLFi4yNjeWyZcvYuXNnMXcHgG+//TZJU6AAnU4n\nzMEGg4FLliwh8CDsaGxsLENDQ4WAr2hikeeee85quaUMTNLzBwUFsXr16kJASSbUHTt2kCQnTZpk\n9Tqffvqp2f1sbYOkaTTp5ubG999/XygpxZPEREZG8vnnnydJfvnll9yzZw9JsmvXrqxXrx5Jk3JQ\n/Lsoibu7u8iWVaNGDYvyq1Qqs3Cn586dIwBu2LCBiYmJXLVqFfv27csOHTqwWbNmZoqWNDdX8jdi\nxIgKvaPijBkzhhERERbbExMTqVAoSjVL+/n58fTp0yTJhg0bWpRJLpdbZC7Lysqir68vx4wZw6Ki\nIrZo0YL16tWzqsCXZPr06fTz8xOWK0kZBsD69eubZTgbOXIk//Wvf1n1I5Da3htvvFHuPe1Y8uOP\nDzJgvfPO47tPaYK6Y8eOZnLPGhUW1FLGmy5dunDt2rVs2bKlMCfHxMSwSpUqwhR76NAhenh4cNOm\nTSRNncq4ceN46NAhNm/enGPHjuV3331n1qiLioqEMN6/f79NgloyO5Y3Dx4UFESFQsElS5Zw5syZ\n1Gq14poXL14kaYqt7eLiwoEDB4p9gYGBHDBgAKdMmWLWyQcEBPCZZ55hnTp1xLHPPvssBwwYwJiY\nGLORkvQxeXh40NHRUXRU5ANBPWLECBHbeNOmTYyLi6OTkxM7dOjAnJwc0dFL0bwWL15MtVot5gZP\nnDjBb775hp988glr1KjBqKioct+nZJqWnr80fHx86OTkxGXLlnHatGlmzlBS8Be5XM5PP/2U8+bN\nM4tuFRISwkOHDom0lW+++SaXLl3KAQMGcOHChWLOTyIpKYkuLi7s2bMndTodAZPTYs+ePTlo0CAz\nK4K/vz+VSiU//PBDTp8+XfgNALBIP3nw4EHWqVOHarWaP/74Y7l1Q5pGYXq9no0bN+aWLVs4bNgw\n/vvf/+bBgwctjpU+RMnUPGXKFAIQc4/NmjWjj48Pt23bxjFjxnDYsGH87rvvLKaDKtIGyQeZ3ipX\nrkwnJyez+hw8eDD9/f2Zl5dHBwcHarVa5uXlsXLlysIp8cKFC/T29hbKUlFREQsLC5mbmyu+rWPH\njvHq1auUy+Xs27cvY2JiOHDgQE6bNo2nTp2yqIuQkBA2bdpUKEgA2K5dOw4YMIBr164Vzzx+/HgC\nYExMDN9++20OHDiQMTExf2o6pyxB7eTkJPobo9HIwsJC5ufnc/Xq1VQoFPz222+ZmJhIlUrFTp06\nccOGDRw8eDAnTpxoMa0h8dlnnxGAmIe3dWSblJREf39/MXWRmZnJnTt3cseOHXzhhReEpUh6d5KS\nZY1WrVqVmS7UjnV++YV0cTEJ6dGjHy5Fpa2UJqilKU5rsk2iwoJa+vCkjmrDhg0EwLFjxwrt0s/P\nj02bNmXVqlUtwlRmZ2dz7NixfOONN1ilShU2bNiQH330kdkxKpWKEyZMsLlMS5cuJVC29y35IEWf\n9GvatClDQkIIPEhQIZkeix9XmhlS6oilX61atcqcx/z111/FscU7emmu/OWXXxaCWvJG37x5M+Vy\nOcPCwujr60tHR0eRlq+goICtWrVicHCwmbJjNBr53HPPWe2sSiJZSMoye5MmQV38WVu2bMng4GCh\nVJAPBHVxbty4IUafS5cuNesoy6Jbt25m9yvNFF7cgx8AmzVrJkbd1sJIpqamcvTo0dTpdDY5/Eia\n7meffVbusZJZV5qTHjp0KFu1aiX2+/r6Cme7sqhIGyRN71tqx8OHDzfbt2LFCjo4OAinLUmRkMlk\non6k+eo2bdqwd+/ewimy+C8+Pl6E4LQmmEsiKfTSr2rVqla/jX79+rFNmzblXq8ilCWoAbB58+bs\n06eP2QoG6XfmzBkxXWOrMkc+mK4q7rxqC99//z1lMhm/+uors+3Hjx8nYFrBsH79ejZs2LDUvuXM\nmTPUaDSiD7tz545FSFo7lvz+O+nhYRLSgwaZUlc+ScqSexVeCDhlyhQAwLRp0zBhwgSMHDkSAwcO\nxMKFC+Hi4oITJ05g0KBBiIyMxKlTp8zS9gHAzJkzUVhYiJdffhkymQyurq5o2LCh2TEuLi7Izs62\nuUz9+/eHi4sLJk2aBKPRaLYvJycHv//+u/g7KCgI69atQ1xcHI4ePYodO3YAAH755RcAQJ06dRAW\nFoagoCCRDnL+/PkioH9x+vTpAwAYN24c6tSpg/j4eCxfvrzUcjZu3BhBQUGoXr06mjRpIrZbS5Ep\n0atXLyxbtgynT5/GzZs30aJFC5GWT6FQYMWKFbh37x5GjBiBxMREkMSECRPwzTffYPTo0WXWGwAM\nHjxYJMtgiSB1mZmZOHnypPg7LCwMn332Ge7evYtDhw5hw4YNAB7UnTUKCgrE/+/cuSOSLJRH3759\nAQCzZ8+GTqfDL7/8IpJhlCQ4OBjr1q3D7du3ceTIEWzdurXUcnl4eGD+/PlwdHTEO++8U245pED5\ntpRZp9OJtI+bN2/GrVu3RGrSrKwspKen23SdirRBAJDJZBg0aBCAB21SokqVKjAajVixYgX8/f0h\nk8nw4osvgiQiIyPNjjUajYiKisL8+fOxf/9+5OfnY+PGjQ9VF1Ka2NGjRyM0NBSJiYlYvHixRRu7\nc+fOI1uPbCsFBQXo2LEjZs+ejR9++AF5eXn46aefzMoE2PacElJSlpL1Xx4dO3bEyy+/jFdffRW7\nd+8GScTGxiIqKgq1atVCp06dsHXrVpH2tSR79uxBmzZtEB0djSFDhgAAvvzySzRr1gyHDx+uUFn+\nSZw4AbRvD6SlAT16AGvXmgKbPEnKlHsPI/l37drFfv36sU+fPpw8ebJNIySJ3NxcoRnm5uZanRfz\n8fGxGBmUx9y5c8WoVBoppaWlsUePHkLLDQoK4tSpUy3O1ev1Yp6dJMeOHcvw8HAajUZhmmvUqJFV\nZxJ3d3cuWrSI8fHxwgT+7rvvllrO7t27CwcsCWlO++2337YYUZMms/mgQYPo7OxsdeQrLRVTqVSs\nXbs2AfCtt96yebnW22+/TQB87bXXzBKJdOnSRcyz+/j4WCTHyM/Pp7u7O3v16kWSVCqVFiPq4s5k\nLVq0IADWrVuXwcHBdHV1Fb+SyUji4uIImJwD//jjD+p0Osrlcm7evNnsOH9/fzFfLVFUVEStVluq\n6f/cuXN0c3Mz8yEoDckRTaVSsUOHDmZl1uv1Zp7ZpGntsrSUDMXM4NJoVC6Xs2PHjnR3dze7Vsk1\n3RVpg+QDp6ySyWIkJxUHBwdeuXJFxEBo0KCBaB8XLlxglSpVrK7I2L17txhRjxs3Tph4mzdvblZ+\nyTGyOJUrV+b777/PhIQEYYkr2S6leoqMjKSXl5fZNT/++ONy3481yjN9W3Ny++2338SIWpoO8vDw\nYOvWrc3K5OvrW+b5ZTmzlkZRURGHDx8uvg2lUskaNWqIqZsXX3yR1apVE1N7R48e5caNG9msWTMq\nFAq+9tprZn3wiBEjCIDnz5+vcFn+Cfz2G6nRmEbS0dHkn/BbfKSUJfceKjJZ586d0blz54c51SxE\nZmnhMp2cnJCXl1eh606cOBFGoxHvvPMOPv/8c7Rp0wa//vorsrKy8OOPPyIhIQG3bt1Cly5dLM7t\n06ePWZSoEydOoFGjRpDJZFiwYAEAYNGiRejQoQP27dsnop1dunQJmZmZaNSoEapUqSJSYUoRwSTr\nQ3EOHDiAOnXqmG2TnrV169ZWn00ulyMmJgYrVqywGrmqQYMGuHLlCl599VXExcXh448/RuvWrW2O\nEDVjxgzIZDLMmTMHK1euRNu2bfHf//4XhYWFOHjwIOLi4pCQkGBRd46OjujevbtIeN61a1eLUYib\nmxueffZZBAUFQa/Xw8PDQ9SfTqdD165d4eLiYhHl7MSJE3B2dka9evXg7e2NH3/8Ee3atUO/fv2w\nceNG9OzZE/Hx8bhz545FuRwcHNCrVy/cvXsXV65cwYcffoiGDRvi0qVLyMjIwKZNm1C7dm0sXLiw\n3LqRIsDVrVsXWVlZCA0NRYMGDRAUFISIiAhUqlTJ4nnHjx+P6dOnAwDatm0LAPD09ISDgwOCgoKQ\nkZGBevXqwd/fH40bN4afn59FWkZb26DEgQMHrJbf2dkZbm5ueP/99+Hv74/hw4fjyy+/xOjRo83a\nh5OTk9URpE6nE3Wq1+uhVCpRs2ZNkERoaCjatGkDLy8vdCoRuunGjRtISUlBo0aNUKlSJfH+Zs2a\nBZlMhpn/H0BZp9NBrVbDYDDAz88Pnp6e6NChAzQaDZ5//vnSX0wZHD9+vNTRsEKhgFKptNju4eEh\nrD16vR4ODg6oXbs28vPzERoaiubNm6NGjRpo3bq11fNLq39bcHBwwKpVq9ClSxcsXLgQL730EubM\nmSMiA06cOBE///wzGjZsCK1Wi5SUFISEhKBTp0747rvv4OnpKa5FEjdv3sSHH35YoYiQ/xRu3DBF\nGUtPN42kN2x4PLG7H4Yy5d5fqjLYSJ06dSzWJtrKvXv3uHDhQs6ZM4fz5s0TjjVXr16lg4OD1XW0\nly9f5rJly8Tfq1atMnPYMRqNnDp1Kh0dHcWaa9K0DOuzzz4zGyHEx8ezWbNmlMvlVjMyaTQaEQBD\nIjw8nIBpnbW1EfVfxe3bt8Wyu/nz5wsntdOnTxOACO5RnDNnzoi1f2lpaWWuEc7NzS03QpvEH3/8\nYRFV7o8//mBAQAC9vLyYm5vLixcvUiaTWU2/GRsbyxUrVvDatWts2rQpGzRowHbt2vGDDz7gt99+\nW+56/uJU1Es8MzOTPXv2tLCsJCQk2GzlsLUNSkij3djYWIt9JYO/ZGVlmZXjwoULrFmzZqll+e23\n34Tjla3ZuO7du8c1a9aY3SchIYGtWrWiTCYTzovltZmH4cUXX+SqVassticmJtLV1bXU837//XcW\nFRXRaDSWme7SGvPmzSNgvlzyUWIwGLhhwwauXbuWcXFxfyq40T8Vg4Fs0sQ0ku7UyfT300RZcu+p\nFNShoaHlLrV6GG7fvl0hM31Jjhw5YlPADKPRyHXr1oklQ8UZPHiwhQBau3Ytt2/fTtL0QYaGhj6y\n1H6Pilu3blVIuD0ucnJyuG7dOtFR3b59+6ko119FaW3w66+/5ujRox+qLtLT08WypMeN0Wjk559/\nbjUU7OMmPz/f5nz0FWX//v0cMGCAWf56O08X48aZhHT16qQNfqR/OWXJvacuzSVgMuVWq1YNO3fu\nfNJFeSLk5eXZs2jZsWPHziNixw4gOhpQKoGDB4GmTZ90iSwpS+49YT836ygUChQWFj7pYjwx/i5C\n2mAwWHjh23n85OTkYP369di9e/eTLoodO0+cW7eA4cNN///gg6dTSANly72nLh81YHKeKioqqvB5\nknHgyJEjiIuLE9tlMhmioqJsTiEoXUdKO1ec1q1bw9vb2+LY4vd60nz88cfYvXs3hg8fju7du5vt\nI/lIyhgXF4dTp06hW7duYlt8fDwOHDiA48eP4+LFi/jxxx9RrVo1rFu3zmKZnq3s3bsXV69exahR\noyz2Fa97W5/p6tWrWLlyJT744ANxTkXed0kMBgO2bduGTp06WU2p+qiQyljac5LEwYMH8dVXX2HV\nqlUwGo3QaDSIj49/InmUpfKeOnUKFy5cMNvXtm1beHl5lXsu8HDfk9FoxJo1a2AwGGxaomgrUrnu\n3r2LgwcPmu0LCwtDvXr1LI4/cOCAWLL51VdfWXVEs/P4KCoChgwBUlKAzp2B11570iUqnTLl3mM3\nvD8ELVq0qHAQhM8++8xqmjzAFFJTiuZljePHj4vYvHv37mVgYKDV68jlchEO8vbt2xw4cKBIMQmA\nISEh3Lx5s5mjx6ZNm0qNLWwLhw8ftuogVBoLFiwQ5XF0dBRRw0hTcBMvLy+LJTwl7zdo0CDevn2b\nKfWGrdIAACAASURBVCkp3LFjh9W4y/379zdbArJ161aRLatevXqMjo7mq6++yh49epQbTIU0LVGZ\nOnWqCFVJmhJuODk50cfHx8LhKDY2lk2bNhXvpVevXhaJHVasWGEWvzo3N1cEuZAc42x93999950I\nNFOcL774ggA4b968cp/xYYiLi2Pbtm0JgDKZjN26dbNoy3l5eWZhThs1asS1a9faVO8VITY21iKK\nnDV27dpFPz8/q3WqVCpFYKKjR49y0KBBjIuLI2l6F9KzSr/u3btXOJHKgQMHCJhizpfmk5KXl8fB\ngwcL3xBr3Lx5UyQPuXTpEps3b271mQBT/Pri5Ofns3fv3gRMURytOWLaefy8845pXtrLiyyxkvKp\noyy591QK6meeeYaRkZE2Hy95SstkMk6fPp1ffPGF8CbNy8sT8XHnzp3LunXrWpzfr18/sY66SpUq\nBMBXXnmF69atE/lr8/LyzGI4BwQEEABr167NTp068dlnn6WjoyMBU8Qzab3r9OnTqVAoLCIFXbly\nRXRQZdGlSxexTrkkly5dol6vFx7i0lrdadOm8dixY9RoNCJKFvlgfaUU+L1nz56sVq2a2Vp2qXOJ\niYkRiTashbVr0aIFnZycWFBQwIMHD1Iul1Ov13Pr1q0P5dAkvcPatWvz/v37NBqNjIiIEB1hcee6\n/Px8hoWFifc0a9YsVqpUiVWrVjUT1kFBQXRzcxN1P3r0aHE9KbuWLe+bNK33tRZrWYrs9v333/OL\nL76go6Njmb/Q0FCb66SwsJCRkZEEwCFDhnDOnDn08fGhVqs1C5crxZH38fHhuXPnKuQRfPHiRTo5\nOZVZZpVKxaSkJI4bN84sK1lx1qxZI7zUpXXkY8eO5WeffcZ79+5ZrVNJ2Vu7di337dsnlN7mzZuz\nU6dOIi44/n+Nv63PJa2DLivLlxQ3Pyoqivv27aNKpbKIVDdv3jzqdDqSptjoANipUyeuXbuW586d\nE89UUok0GAxs3LgxK1WqxLVr19o9tJ8Qhw+b0lUC5J9MG/6XUJbceyoFdatWrSokqEmycePG5aal\nk2KtltTQ/fz8OGTIEJLkkCFDGBYWVubHtX79egLge++9Z6ax37lzh/PmzaOTk5NIi5ienk6NRsPx\n48eL47Kzs+nt7W2Wl7c0FixYQJVKxczMTIt9EyZMYJUqVUQHM2PGDKrVarGERgpkIo0qJUF96dIl\nEbY0NDTUTLAuX77cQlDLZDKLHL4tWrSgi4sLSVNaP61W+6c8hyVBDYCLFy/mV199RbVazcOHD9PV\n1dVMWZgxYwZlMhlHjBghRvuXL1+mj48Pq1atKpQkKWRs//79eenSJTo4OHDLli2sX7++UMxsed/k\ng8AcJTt/SVDv37+fGRkZfOONN9ihQwcuWLCAlSpVEiPc1q1bs3Xr1iIdpy1I2d769u0rvKTv3LnD\nwMBAarVaYS2RQuhu3LjR5mtLFBUVcdmyZWzTpg1nzZolklHUrl1blHnSpEk0GAxlCuru3btz/fr1\nJMk+ffqwSZMm5d5bSgizdu1aDh06lGq1mgcOHDA75pdffuHIkSOtjlpLQ2rnCxYsKPUYKRBMVFSU\naOcll3T17duXwcHBJMklS5ZQJpOV69VdWFjInj17lpkBzc7jJyWFrFHDJKT/P8PyU09Zcu9vI6gj\nIyMZHBzMgwcP8siRIzxy5Ah/+eUXM0G6Y8cOArCILQ48yI/78ssvU6vVcs+ePeI6R44cMVtqJcVG\nLs20KKXclPYPHz6cTk5OIuPRzJkzqVAoxDrlspDuZS3iUdOmTc0iqjVu3JjVq1cXf58/f57u7u4i\nC4/Uga1fv17EZC9uGidNnWxJQQ2AYWFhZqPJFi1a8JlnniFJRkVFmUX5un37No8cOcKjR4/anNA+\nJyeHarVaKAYODg5iHbKvr68Q1KmpqdRqtWaZhSQuX75MlUrFxYsXk6TZiEypVLJr164kzS0otrxv\n8oGglsvlZqP2999/n05OTmbZoySef/55NmrU6KFGVPn5+axWrZrIfFWcO3fuUKfTcdq0aSQfCOry\n8nzbwvLlyymXy60KpJYtW1pNs0iaC+qhQ4fSy8uL+/btM6vTktccMGCAENSLFi1i5cqVrS7bkmKo\nl7UGujhSQouypoykBDFRUVG8fv06FQqFRQ7piIgIoZh9+umnBEwZ74o/U8n11pIC3KJFizKXoFUk\nFa2dimE0kv36mYR048ZPT+Sx8vifE9QtW7ascCaYZ555xmLeyNnZWeSXJU2jh4CAAPr4+IhOQwp+\nL5kSX3rpJatzUCXnmUNCQtirVy9mZ2dz5syZ7NixI2vUqMHq1atTJpMxJCREmMTS0tKo0Wj49ttv\n8/bt23Rzc+O4ceNseq5bt24RMOXrTU5O5uDBg3n27Fleu3aNcrmcc+fOJWnqzNzc3PjSSy+RNK1X\nPX36NJs3by5CaUqCWvpZSxARFRVFAPz22285a9YsOjs7izqZMWMGSVMnU6lSJZGKcOrUqQwICBAZ\ns6ZNmybuodfrhbWiPJ599lnWrl2bQUFBjIiIEIpB165dhaCeOXOm1VzDEi+88AJbtGhB0mRRUKvV\nbNeuHStVqiTmV999910hqG1531Ie8IEDB1Kv17NJkybCCtGvXz96eXlZLcvQoUMrrHBKLFu2jDqd\nrtTO/vXXX2dQUBDJB+9VCj1Zo0YNzpw586Huu2LFCjo5OVnd5+XlVarVpFu3biJt65AhQyzq8//Y\nO/OwJo43jn8TCJAEEiAcoiKi4km1KlVbj9YDD+qNt5Z61vvniVZbK2rVatV6tt7YQ61H1bbetSpq\nW7XeFetVsV6AHAGSEBJC3t8f212IIAQEE3U+z7MPYXezeWdmd77zzs7MKxKJ8kV/6tKlCwFcqNi7\nd+8KQV1u3LhBU6ZMoXr16lGlSpWEICFjx461Kg38WJUnG6F5+fbbbwkADRgwgIg479nR0VEIY6lW\nq8nDw0PoAeFfLzy5PZnPmZmZNGTIEPLx8SFfX1/au3evRUPt/v37FBQURFKpVBj/wChdoqM5kXZ1\nJXqRhgYUpnt2KdRNmjShNm3aWH2+Wq0miURCffr0ocuXL9Onn35Kq1evFjzYvPAhAfmH5L333iO5\nXC54fv7+/tS4cWOKjY2lxYsX06JFiwpcYWzWrFnk4uIieM8AF1c0KiqKtmzZks+TXLJkieCR+fr6\nFtiVXRA6nY58fX1p0qRJQldo//796dChQwSADhw4QETcCmEAqFy5cvTRRx9Ro0aNBLuqVKlCJpMp\nn1C7ubnRpk2bLH6PF2qj0Uj9+/cX3nFPmDCBxGIxbd26lf79918CcmMGq9Vqql69Oo0ePZrMZjMZ\njUa6fv06Xbt2jSZPnkwArOoWb9euHfXu3ZvOnz9PsbGxwv7hw4fTzJkzyWQyUZUqVfKtJ56XsWPH\nko+PD2VnZ9PMmTMpICCA4uPjLVaMio6OFoTamvLmX3VkZmbSkSNHCAANGjSIcnJy6LXXXit1oTab\nzRQSEvLUbmYi7v6TyWSk0Who0qRJFg2jmjVr5luX3VqKEmr+tVF6ejpdu3aNYmNjaenSpSSVSgVv\n29vbm5o3b06xsbH0+eef05IlS+ju3bv5rscLNd978eabb1K1atWEcQP8q4aoqKh8UfiehtlsJqlU\nSo6OjoWuosYL9TfffENEJDxPM2bMICISYprzkcK6detG7u7udPnyZdq4cSPNnj2bLl269NTxGElJ\nSdS/f38CYBFf4OHDh+Tl5UVA2Q1AfJW5dSs3bOV/wcReGArTPbsU6pCQEGrfvr3V58fHxxOAfCt+\nFcSjR49ILBYLFWiXLl2of//+wnGlUlnouy2e2NjYfK3rvOLyJGazWRgA9WQQiaJo2rQpBQcHU+XK\nlQngYhOPHz+efHx8hC40Xqj5rVq1ajRp0iQKCAggAJSRkSEI9WeffSY0HEQikRAez2QyCWEjs7Oz\nqX///tS6dWsi4kbJhoWFkVgspsDAQAJAixYtEmzkY4fzFR8PXyEWNuqehxfqJ6lcuTLNnDmTzp49\nSyqV6qne9PXr16lcuXLCEpu8UD9Jnz59BKG2prx5oeZ7YfgYzYGBgSQWi5/aCi6pUN+5c4ckEslT\nG3P37t2jKlWqCL0yiYmJBHDhNZ91xa+ihFqlUlHdunWFWO7+/v6CsPJd33zc8sLIyckRAsg8ma/8\nlvc1jrWcOnWKAC7caWHwIWrzhkL19/cXGtFz5swReiyISIilXRzMZrMQLCXvu/fExES6fPlyvoGJ\njGcj7xKhvXuXbWzpsqAw3bPLBU+MRiOcirFS+vXr1wEAarUaJpMJ8fHxwpaYmGgxL9PPzw9RUVGI\niYnBsmXLcOPGDSGow4MHD6DVaqFWq0FESEhIsLhW3sU7ateujeDgYDRv3hzz588HAAwZMgTx8fEF\n2igSiYTQjcUNhRcUFISrV6/i7t27aNu2LW7duoUvv/wSr7/+OmQymcW506ZNw+XLl3Hr1i0sWrQI\nU6dOBQD8+uuvCAoKAgBIJBJMmDABa9euBRFh8ODBuHjxIpKSkvDPP/8UaIOzszN27dqFqlWrIi4u\nDg4ODujWrZtw/J133kFkZCRGjRqF9evXIysrC9u2bcOgQYMQFhaG119/vVhpzgtffvv374dcLs93\nb+Tk5OCHH35Ay5Yt8fbbb+PDDz+06nrFKe+8jB8/HqNGjUJcXBzMZrNQrqXF/v37IZFIhKAMPGaz\nGfv378c777yDoKAgfPbZZwBywzH6+flBLpeXqi1PEhwcjIULF2L//v24cuUK7t27h9u3bwvH79y5\nA6PRCLVaDbPZbJGfefM0NTUVN2/etLh2165d4ejoiBkzZqBdu3Z48OABRo4cWazFj9RqNQDg4sWL\n2LdvX77f5wPI/P777/m+u2bNGiQmJiIyMhIXLlwQ6oXs7Gz8888/yMjIQE5ODpKTky2uaTAYCrRF\nJBKha9euCA0NxUcffSTs9/HxQd26deHoaJfLWLywfPopcPYs4O8PrF4N2MGSFsWiUN17bs2FYlCl\nShXq16+f1efzLXGRSCR4nfzm5+eXz8vIyMgglUolnPPnn38SUW5IP/zXXZz3OjKZTHh/xRMRESF4\nTPzo3xo1aljMBc7L8uXLCUCBXfKFwQ8W6ty5M5lMJmFq2Jo1a4Rz+MAZTwao4N/Br1u3jtLT06lZ\ns2YWI495z2L69Om0YcMGAkCVK1emnJwcC4+a5+rVq1SlSpUCA0OYzWaaMmUKiUQiUigUBIDatm1r\ntZfXpUuXAj1qfjDZ119/TWKxmJYsWUJJSUm0e/duWrp0KdWpU4cUCgVNnTrVwkuZP39+gR41P5jM\n2vJ+0qMm4gJbtG/fnkJDQwtc053I8v4oDvv27RPGBCQmJtL+/ftpxYoVFBISQnK5nEaNGmVhS1JS\nkvBK5Fn58ssvC/WoC5oPrNfrBY+a9yALylM3NzdhnMDXX38teM15B3zyoTH1ej21a9dOGBtgrfd5\n9epVcnFxKfB9MgBq3bo16XQ64f+88+yJyGKu9FdffUVEufnLPxtPXpNfg6EgYmNjycvLSwhtazab\n6fjx4wUOPmSUnPPnualYIhGRnYVJsJrCdM8um3R6vT6fp1gYQUFB8PT0RFhYmNBKbdSoEQIDAxEc\nHJzPy3Bzc8P48eMxY8YMODk5ISQkBABQqVIleHh4oHXr1nB1dUWLFi1Qs2ZN1KtXD4GBgahWrZrF\ndWJiYjB8+HAAELy4adOmoWXLlvjtt9+EEIE858+fL15G/Ee1atUQEhKC9evXw8HBAVOnTsXixYst\nQkPGxMQgICAg3+pIDRo0QJUqVQAACoUCJ0+etDj+ySefwGQyoUOHDkLPRMOGDZ8aJrBOnTpP9br5\nUJnvvvsuoqOj0axZMwwZMsTqdPbq1QvHjh3Lt3/AgAHo0aMHgoKCEBMTg8jISEycOBESiQQtWrRA\njx49MGPGDDg4OFh8Lzw8HN9//32+67Vt2xbe3t7FLu+8yOXyIpfojImJQY0aNaxMfS7t27fHuHHj\nMHfuXERFRcHR0RFNmjQRwo86OztbnM/f80/uLwkxMTGFXufJPAa4Hho/Pz/IZDL4+/sLoSplMhla\ntGiBOnXqIDg4GFWrVkWlSpUAQPCsGzRoIFzz2rVrSEpKQtu2beHi4oI9e/aga9eu2LJlCxwcHPDN\nN98UaX+dOnXw008/oVevXtDr9XjttdcQHByMNm3awMXFBURk0VPCP/s8M2bMEEL4Nm3aFABX1pUr\nV0ZQUBAqVKgAAPD19cXbb78NlUqFRo0aAQCSkpIQERGBatWqISMjAwkJCTh37hzq16+P9evXA+BC\nBB86dAiNGjXCmTNnikwPo2jMZmD0aO7vhAnAU6IF2z2F6t7zbTNYh4eHB40ePbpMf8NgMNCECRMK\nbQ0XxZEjR/K9L121ahW5u7sXOI3l/fffJwBWhwosDhs2bKDg4OACjx06dKjAAXFPwk9BmTp1KhFR\ngR61PfDPP//QwYMHn1vUrII8amuIioqio0ePlvh379+/T3v37rXKm/z999/pcSksvfTdd99Z9NTk\nxc/Pr8DV2Yio2L8dHR1NAGjSpEnCvvT09HxTHvV6PQ0dOtRiYNezotFoLHqO8mI2m2nJkiXCFL/i\nkJWVRSNHjqTevXvT+++/Tzt27BB663j49/lsjnXpsW4d9166XDkiK6Po2iWF6Z7dCbXZbCZHR0f6\n8MMPbW1Kiblx40aBFdfevXsLHbFsa+7fv08//PCD0BW5a9cuGjFihI2tsj3//vsvNWnS5JUf/PO0\nVzol4eHDh7Rz506r8/SPP/54phC1eTGbzbR9+/anNjrKEv41BqN0SEkhUqk4of5vLOMLSVG6Z3dh\nLnU6HVxdXbFgwQJMmTLF1uYwGAwGw04ZPRr48kuuu/vo0RdvABlPUbpnd6O++VGbHh4eNraEwWAw\nGPbKlSvc6G4HB2DFihdXpIGide+ZhPrIkSMYNGgQEhIS8h1LSUnJFzLQGtLT0wGgTEMGMhgMBuPF\nhQgYN44bQDZqFBAcbGuLno2idK/EQr18+XKEhobizz//hJeXl7CfiDB//nxUrlwZr732Gvr27fvU\neYYFkZKSAoB51AwGg8EomB9+AI4fB1QqICrK1tY8O0XpXomEWqfTYfr06XjzzTdx8eJFi4n7GzZs\nwIwZMyCTyTB+/Hjcu3cPoaGhyM7OturaqampAGAh/gwGg8FgAEBWFhAZyX2eMwfw9LStPaVBUbpX\nIqHesmULdDodRowYAYlEIuw3m81Ys2YN5syZg/j4eCxcuBAHDx5EcnIyFi9ebNW1k5OTAQCeL0Pu\nMxgMBqNUWbYMuHuX6+4eNszW1pQOReleiYR60qRJKF++fL6lMP/66y/ExsZi4MCBEIvFkEgkcHNz\nQ61ataDT6WAymfDZZ58J765zcnLw22+/WVwjKSkJALfMHoPBYDAYPI8fA3Pncp8XLwZellVYi9K9\nYgu1Xq+HTqdDu3btkJycjMTEROHYuXPnEBQUBD8/P2HfgwcPcOrUKXTu3Bnz5s3D4cOH0bhxY6Sm\npmLRokXYtm2bxfVTUlIglUohlUrRuHFjiESifFvUy/BSgsFgMBjFYtYsQKMBOnQA2ra1tTXFIyoq\nqkA9O3funIXuFUSxhfqnn36C2WxGdHQ0KlWqhHLlyqFHjx64d+8eAFgsz5eVlYVhw4YhLCwMb7zx\nBpo0aYI7d+5g8uTJ+Prrr/Hrr79i4cKFFtePj4+Hr68vAODx48fFNY/BYDAYLyG3bgFr1gBiMbBo\nka2tKT3Kly9voXsFUWyhXrlyJQDghx9+wOHDhxEREYEffvgBo0aNQv369REbG4vPPvsM27ZtQ6tW\nreDp6YlVq1YB4NZY/uuvvxAWFoatW7fCZDKhbt26FutPx8fHo3z58gCAR48eFdc8BoPBYLyEfPwx\nkJMDDBwI1K5ta2tKB5FIBF9fXwvdK4hiC3XlypUBcIvSh4aGYsmSJZDJZPDx8UGDBg2wbt06LF26\nFGPGjEFERAQ2b95ssdD4iRMnMHbsWMydOxdnzpxBq1atLMLdpaWlCS/UDQYDiFvm1GJjXd8MBoPx\n6nDxIrB9O+DiwnV/v4hERUXl0zKz2QwHBwcL3SuIYi8h+vvvv6Np06Zo27YtqlWrhj179sDZ2Rkx\nMTHw9/cHwE3fMpvNcHNzy/f9Xbt2oU6dOqhevTo2bNgAjUaDsWPHClO8/P390bp1a2zatKk4ZjEY\nDAbjJSUsDDhwAJg4kRtE9rJRlO4Ve8zcW2+9hS+//BLTpk3D+fPnMXr0aAwbNgwVK1YUzikseH33\n7t2Fz0OHDs13PCUlhc2hZjAYDAYA4MQJTqRdXYH/ogm/dBSleyUa3D5y5EiMHDmyxEY9DbPZDL1e\nD1dX11K/NoPBYDBePGbO5P5Ongx4e9vWlrLAGt2zq6Ac/OosbPlQBoPBYJw4wS0V6u4OjB9va2vK\nBmt0z66Emg/uUa5cORtbwmAwGAxbw48bHj8eeFnjNFmje3Yl1GydbwaDwWAAwMmTwLFjgELBRcp6\nWbFG9+xKqHU6HYDCB6MxGAwG4+WHXwtr/Hiu6/tlxRrdsyuh1mg0AFDgtC4Gg8FgvBpcvgzs3cvN\nmx4zxtbWlC3W6B4TagaDwWDYFbNnc3+HD385R3rn5YUTaq1WCwBsehaDwWC8oty+DezeDTg5AVOn\n2tqassca3bMroU5PTwcAKBQKG1vCYDAYDFuwYAFABPTvD+QJxPjSYo3u2ZVQa7VaODs7C8uJMhgM\nBuPVIT4e+OYbQCR6eVchexJrdM+uhFqv11sE8GAwGAzGq8OKFYDRCHTtClSvbmtrng/W6J5dCXVG\nRgYbSMZgMBivIFot8NVX3OfISNva8jyxRvfsSqg1Gg0TagaDwXgFWbMGSEsDmjYF3nzT1tY8P6zR\nPbsSaoPBAGdnZ1ubwWAwGIzniMGQG75y2jTb2vK8sUb37Eqoc3Jy2EAyBoPBeMXYsYMbSFa3Lhd7\n+lXCGt2zO6F2cHCwtRkMBoPBeE4QAZ9/zn0eM4Yb8f0qYY3u2ZVQm0wmJtQMBoPxCrFvH3DlCjdn\n+r33bG3N88ca3bMroSYiiMV2ZRKDwWAwyggiboETAJg0iVvb+1XDGt2zO1UUvWr9HgwGg/GKcugQ\ncOoU4OkJDBtma2tsR1G6Z3dCbTabbW0Cg8FgMMoYImDGDO7zhx9ycadfVYrSvWILdVxcHIhI+P/B\ngwcwGo0W5zx8+BBjxoxBmzZtEBMTY/W1xWIxE2oGg8F4BTh4EDh3DvDxAUaPtrU1tsMa3SuWUBsM\nBoSEhODgwYMAgNTUVNSuXRtnzpwRzvnrr79Qt25drFq1Cjdv3kTnzp0RHR1dagYzGAwG48XGbAY+\n/pj7HBkJvMorR1uje8WatOzk5ARnZ2fodDoAQGxsLDQaDbKysoRzVq5ciTfeeAMRERFo3Lgxbt26\nhd69eyMgIACtWrUq3BhHR5hMpuKYxGAwGIwXjD17gAsXgPLlgVGjbG2NbbFG94rlUYtEIouJ2c2a\nNUPLli3x66+/AuDCdX399deYOHEi+vXrh6pVq6J9+/Zo3bo1Dh06BABISUl56vWlUin0en1xTGIw\nGAzGCwQRMGcO93natFfbmwas071iCfXt27dx//59Yc6XSCSCl5eX4LYfOHAAFStWRGhoqPAds9mM\npKQkBAcHIyYmBpUqVUJoaCg0Gg1u3LiB8PBw4Vw3NzchiHblypUhEokK3KKioopjNoPBYDDshJ9/\nBi5d4uZNDx1qa2ueH1FRUfm07P79+xa69zSKJdS86rdp00bYl5WVhUOHDuHq1avIzMyETCazGGq+\nYcMGJCQkoFOnTjh16hTeffddZGdnIz4+Ht27d8fcuXOFc2UymdCtzsJdMhgMxstFTk7uSO8pU17N\nedN50el0Frr3NIr1jrpcuXKQSqWIjIyEh4cHjh49irNnzwIAFi1ahLCwMDx69AgJCQnw8fHB5s2b\nERkZiR9//BHu7u4YN24c1q9fj5YtW6Jz587o0KEDjh49ivLly0OhUEAikSA7OxsAIJFISph0BoPB\nYNgjmzdzq5D5+wMjRtjaGttjNBotdO+pUDHp1KkTASAXFxdq3bo1KZVKatiwIeXk5FBWVhbVr1+f\nFAoF+fn5UZ06dSguLs7i+4mJidS7d2/64osvyNPTk1q1akXLly8nIqLJkyeTi4tLcU1iMBgMhp2j\n1xP5+xMBRF9/bWtr7AdrdK/Yoap27NiBhIQElC9fHhKJBD179oREIoFYLIazszPOnj2Lb775BtnZ\n2Rg8eHA+z3jp0qWoV68e+vbti02bNkEkEqF169YAAGdnZxgMhuKaxGAwGAw7Z80a4P59LkJW//62\ntsZ+sEb3ii3Uzs7OCAgIEP5XKBQWI9YcHR0xePDgp35/3rx5wudLly5ZHHNycgIRwWQysXCXDAaD\n8ZKg1QJ81T9nDsBiL+Vije49sxquXLmy1ETV5b+RBQaDgQk1g8FgvCQsWQI8fgw0agR06mRra+wL\na3Tvmdf6lkqlpTbwS6lUAgDS0tJK5XoMBoPBsC2JibnxphcufPXiTReFNbpnV0E5VCoVAG5pUgaD\nwWC8+HzyCdf13akT8PbbtrbG/rBG9+xKqF1dXQGgyMnfDAaDwbB/YmOB9eu5d9ILF9raGvvEGt2z\nK6GWSqUAwJYRZTAYjBccsxkYO5b7O3w4ULOmrS2yT6zRPbsSarlcDgBFrtLCYDAYDPtm7Vrg2DHA\n2xtgqz4/HWt0z66E2tvbGwCQmJhoY0sYDAaDUVLu3uXCVwLAqlWcWDMKxhrdsyuh5l+qq9VqG1vC\nYDAYjJJgNgNDhnADyHr0AHr2tLVF9o01umdXQi2TySCRSAoNhclgMBgM+2XVKuDoUc6LXrXK1tbY\nP9bonl0JtVgsRvny5fHo0SNbm8JgMBiMYnLjBjB1Kvd5zRrAx8e29rwIWKN7diXUANcNwOZR91/+\nDAAAIABJREFUMxgMxouF0QgMGADo9cB77wHdutnaoheHonTP7oTa1dUVGo3G1mYwGAwGoxjMnAmc\nOwcEBAArVtjamheLonTP7oRapVIhOTnZ1mYwGAwGw0pOngQWLADEYi7m9H+rYjKspCjdszuh9vHx\nYULNYDAYLwipqVzYSiLgww+Bpk1tbdGLR1G6Z3dC7eHhgdTUVJjNZlubwmAwGIxCIAIGDuTiTDdu\nzBY2KSlF6Z7dCbW3tzdMJhN7T81gMBh2zurVwM8/A+7uwLZtQCkFUnzlKEr37E6oPT09AYDNpWYw\nGAw7JjYWmDiR+7xmDTeIjFEyitI9uxNqd3d3ACwmNYPBYNgrGRncqmNZWcDgwUCvXra26MWmKN2z\nO6FmHjWDwWDYL3o90LUrcP06UKcOsGyZrS168XnhPGp+gXIm1AwGg2Ff6HRAWBgXFcvPj3s//V84\nZcYzUJTuPZNQP3r0CFu2bEFSUlK+Yzdu3MC+fftgMpmKdU0+iDYbTMZgMBj2g04HdOwIHD/OifSv\nvwKBgba26uWgKN0rsVDHxMSgefPm6N+/P8aOHSvsz87OxvDhw1GrVi107NgR77zzDhISEqy+rkKh\nAABkZGSU1DQGg8FglCIGA9C9e65IHzsG1Kpla6teHorSvRIJ9f79+xEaGoqaNWuic+fOuHLlinBs\nxYoV2Lp1K0JCQrBo0SL4+vqiXbt2VnvI1gTRZjAYDMbzwWQC+vYFDh/mgmwcOwbUqGFrq14uitK9\nEgn18ePHMWDAAOzduxdNmjSBk5MTAMBkMmHNmjWYN28ezp49i0mTJuH777+HRCLBokWLrLq2o6Mj\nJBIJMjMzS2Iag8FgMEqJ7GygTx9g925urvThw0yky4KidK9EQr1w4UJs3LgR8fHx+OabbzDxv8l0\nf/75JxITEzFgwADhXIlEgoCAAEgkEuh0OowYMQL79u0DEcFgMGDHjh35ru/m5gaNRoPY2FiIRKJ8\nWxRb/obBYDDKFJOJWxr0hx+4tbsPHgTq1bO1VS8uUVFRBepZ3bp1AeTqXkE802Cy5cuXw93dHRER\nEQCAa9euISAgQJgTBgA3b97E0aNH0a1bN8yZMwePHz/GgAEDoFarMXnyZFy/fj3fdeVyOXQ6ndAd\nwGAwGIznh9kMDBoE7NgBKBTAkSPcEqGM0ker1QLI1b2CKLFQX7hwAWvXrsWkSZMs9huNRuGzWq1G\nv3798MEHH6BOnToIDw/H5cuXMW/ePMydOxdqtRqRkZH5ru3k5ASj0Sh0qTMYDAbj+WA2AyNGAN99\nB8jlwKFDQEiIra16eeE1k9e9ghARERX3wkSEfv36ISEhAceOHRP237x5E7Vr18aQIUMQGBiIjRs3\nolevXpg1axYcHByE837++WcsX74c8fHxePz4MTZt2oSwsDDh+GuvvYZq1aph9+7dxTWNwWAwGCUk\nJ4cT6fXrARcXYN8+oFUrW1v1alCY7jmW5IK7d+8WBonVrl0bIpEIvXr1wsyZM7Fv3z5MmTIFv/32\nG7744gu8++67Ft/dtGkTNmzYgIULFyI0NBTdunXLNyTd2dkZBoOhJKYxGAwGowSkpHDvpA8dAqRS\n4McfmUg/TwrTvRIJdZ06ddCjRw/Url0bgYGB+O2331CxYkUAQLt27RAaGgoisvCieapVq4adO3fC\n19cXe/bsgVarRZcuXSzOEYvFLMwlg8FgPCdOneJE+t49wMuLG+XdrJmtrXq1KEz3StT1Xda8+eab\ncHV1xS+//GJrUxgMBuOlxWwGFiwAPv6Y+9y4MbB9O1Cpkq0te/UoTPfsbq1vgHnUDAaDUdakpADd\nugHTp3MiPXUqcPIkE2lbUZjulajru6xhQs1gMBhlx+nTQM+ewIMH3EIm330HPDGciPGcKUz37Naj\ntsMeeQaDwXjh2bgRePttTqSbNAEuXmQibQ8Upnt2KdQikcjWJjAYDMZLRXY2MGYMMGQIYDRyn0+c\nACpXtrVlDKBw3bPLrm8iYmLNYDAYpcSFC5ww//EH4OQEfPUVMHiwra1i5KUw3bNLoTabzXB0tEvT\nGAwG44UhPh746CNg0yaAiAtRuXs3Ww7UHilM9+yy65t51AwGg1FysrKA+fOB6tWB6GjA0RGYPBm4\ndo2JtL3ywnnUJpMJMpnM1mYwGAzGCwURF+0qMhK4e5fb17kzsHgxUK2aTU1jFEFhumeXQp2dnQ2J\nRGJrMxgMBuOF4coV4H//A2JiuP+Dg4EvvgDatLGtXQzrKEz37LLrOysrC1Kp1NZmMBgMht0TFweM\nHQvUr8+JtErFDRa7eJGJ9ItEYbpnlx61RqOBq6urrc1gMBgMu4QIOHwYWLmSi3BFBDg4cII9axbg\n4WFrCxnFpTDds0uh1mq1TKgZDAbjCbKygK1buXfOsbHcPicnbpWxyEigXj3b2scoOYXpnl0KNev6\nZjAYjFzu3+e6s9etA5KTuX3lywOjRwNDhwI+Pra1j/HsvFBd32azGXq9HnK53NamMBgMhs1ITweO\nHOGiWf3wA5CTw+1v0AAYNw7o04fzphkvPkXpnt0JtU6nAwDW9c1gMF45UlI4Ud62jRsYxouzoyPQ\nuzf3DvqttwC2zMTLRVG6Z3dCrdVqATChZjAYrwYPHwJ79gC7dlmKs4MD0KIF0L49MGAA4O9vWzsZ\nZUdRumd3Qs23LFjXN4PBeBlJSQHOnAHOnQOOHePEmQ+a5OgItGsH9O3LLVTCRm+/GhSle3Yn1Onp\n6QAAhUJhY0tKRlRUVIGfX2ZetTSz9L78lGaaExK4KFW//QYcPQpcvWp53NkZCAsDunSxnTi/amVs\nb+ktSvdEZGeBn48ePYrWrVvj2LFjeOedd2xtTrHJu1arnWVtmfGqpZml9+WnJGkm4kZnx8YC168D\nly8DZ88Cf/9teZ6LC/DGG7lbhw6AUlma1hefV62M7S29Reme3XnUmZmZAPDSrPVtMAA6HTf/0Wjk\n3j+ZzbnHRSJALObeR4nFXNeXVAq4unKfGdaTnQ1otbl5bTbnbk8+i3yeSyRcPjs6ciNoXV25Y4yC\nMZtz81ev5+7tzEwu7/mNv8cLyntHx9w8d3DILQMXF0Au5+59mYz7314HTJnNnJd84wZw8yZw6xYn\nyhcvct3aTyKVAs2acVuLFtxgMDZam5GXonSvTKTg4sWL+Pjjj3Hjxg3Mnj0b/fr1s/q7qampAABP\nT8+yMM0qdDrg8WOuAtJouM+PHgEZGdzn1FSukuIrKrWam0px65bldRwdcweGlAQXF67ScnXlWtxy\nOfdZLuf2e3gA5coBXl7cfnd3wNcXUCi4Y97e9i06OTlc/mm1XP5lZHAioNVyeZyRkfs3LY37m5LC\nnZOZyf3NyuL2Z2RwIlEaSCRcHspkgKcn91ep5P7+8IPluatXA25uXL57e3P5rlRy++wx73NyuLzW\naLi8TE7m7m2djtufksId4/P84EHL7zs4PD9b5XIuLxUK7v7mRVwi4f56eXHH+EaukxO3n39mnJy4\nazg5cceJchtlALePbzzzjQmjkeuGzsvw4UBSEifOjx5xoSONxoJtVqmAunWBmjWB2rU5j/n117nu\nbQbjaRSle6Uu1KdOnUKbNm1gMBjQsGFDjB07Fv/88w9mzJhh1ffj4+MBAH5+fjh7lquIZTLuYeMf\nSLE4t7VNxG15W/E5OZwny7f8dTqu8tHpcoUhM5OriJKSuAoqOZkTheTkpz+ExSUnh6sUXF25B9XJ\nifs/r/15beb/ZmbmeoZZWZxdJcHRkRMaLy9OSJRKbmEEXsjd3Lh9vH1yObdJJLleT9585u3LyQFM\nJm57MmTezp25gsv3JqSmcpVbcjK38YKQkVHyvC0IBwcuLS4uuZVz3o2HTwufBt4LNBq5fM/O5uxL\nSeG6Mgtj5MiC94vFXMOJ3+TyXBGXybhyUCpzy4EXIKk0134+/4k4Ow2G3HuX92IzM3MbipmZXJ7y\nQpuRkbufv+/1+mfPZ2dnbuO9YP755G3O+5zy93redGRnc3/5e8lo5O4XvudJp8t9bnU6ThyfJ0/2\nvqxdm/8clYoLIVm9OhAUBNSpw81v9ve3354Ahv2SV/cKotSFevXq1ejevTvGjh2LwMBAPHr0CG3a\ntEGtWrXQo0ePIr+fmJgIuVwOuVyOMWOAP/8sbQuLxtmZEzbeg/Xy4lYB4oVOpeIqJ76LWqnkBBEA\nmjVrBnd3d3h5eWH9ektRLg5E+b/HdyPyDRODgat4MzO5v2lpuRsvimlpuSL54AE3kCUxkau0S+PV\nzJPX6NmzeN/n81ip5Dbea/L05ASM95p4YePLhe8edXHJFTcHh9KpJPk05W2c8N26ALBv3z6kpaVB\no9EgICC3B+bePS5vk5Jyhf7BA+DOnWe3qTThPX6VitvKl8+9zwMCuH3u7rmDmiZOnAiFQgEfHx+M\nGPF8hChv44TvQeHvdb4XhW9cZ2Tknss3YnS63IZidnZumfKNMoAr27wNUpGI+/9Jvvwyt7FboQLg\n58fdfy8TP/30E1JTU6HRaGxtynPB29sb7u7u8LCTYfUdO3bE/Pnznzrqu1QHkyUnJ8PX1xcnT57E\nW2+9Jezv2bMnAgMDsXDhQly9ehW1atWCw399aE8Gyx44cCCOHTuGf//996m/89FHuQ8tv+V9ULOz\nc9998d1hrq65f93cuMre3Z3rrnR35x5Ed3euknJ2LnllZDabkZmZiZSUFCQlJUGn00Gv10Or1SIl\nJQXp6enIysqC0WiEwWBAVlYWsrOzkZmZCY1GA71eD5PJBLPZDHOel9kikQiOjo5wcHCAg4MDnJ2d\n4ebmBoVCAalUCldXVyiVSri6usLNzQ1ubm6Qy+Xw9PREuXLl4OnpCXEet9Jszu3+zMjgvDJeXFJT\nOU8sNZU7R6PhPByjkctj3iyRCDh9mrNNJBJBLBYjPNwkeI1Saa4g+PpyeaxSccKrUHBlUNLuYZ1O\nh7S0NKSnpyMjIwOpqalIT09HZmYmMjMzkZWVBa1Wi/T0dOh0Omi1WmRmZsJgMAj5S0T5BpLw+SyR\nSCCRSODo6AipVAqZTAa5XA5XV1coFAoolUrhr7OzM9zd3eHj4wOFQgGZTAbHPAMMeO+db1jp9Vz+\n8r0NajXXoEpJyS2HjAzuXjYYct+3i8W5Xix/P/ONGE/P3NcffHcxfx7vAef10ovCaDQiJSUFGRkZ\n0Ol0SE9PR1JSEtRqNTIzM5GRkQGNRgODwQCj0YisrCzo9XoYDAZkZ2cjOzsbOTk5Fvcwn79isRiO\njo5wcnKCs7MznJ2dIZFI4OLiArlcDjc3N4v7mM9blUoFhUIBhUJR5mFwJRKJ8AyW5WAjIkJGRgbS\n09Oh0WiQnp6OlJQUpKSkQKvVIisrS7if+TrDYDAgMzNTOM7ndV74POY3BwcHIc9dXFyEfOf/VyqV\nUKlUkMvlUCgU8PT0hKenJ1xdXeHu7g6nl/ilelZWFtRqNTQaDdRqtVBHp6enC3WKXq8X6hGj0Sjs\nMxqNMBqNyMnJyVef8HW1WCwW6hMnJyfIZDK4ublBKpUKZSGRSLBy5Urc5YOIP0GpetQHDhxAUFCQ\nhUgbDAbcuXMHffr0we7duzFo0CCUK1cOf/zxB65fv45PPvkEv/zyi3B+RkYGVCoVAGD69OlQKpXw\n8/ODp6cnZDIZlEolBg1SCpWmXC63EKDSwmQyQafTISMjA1qtFklJSUhNTUVaWhpSU1OFSuvx48fC\nQ5WSkoJHjx4h24qXpSKRCM7OznBxcYFEIhHSI5VK4ejoCLFYLGxEhJycHBgMBuTk5MBkMsFgMECj\n0UCj0QgCVBRSqRQqlUpoTfr5+cHPz0/Y5+XlhVq1PKFSqaBUKuHh4QGZTGbRkCqI4lZkZrMZRqMR\n6el6pKenIzExEY8ePUJiYqKQv2q1GlqtFlqtVqjI8oqzNXkMQKj0XV1dIZPJ4OTkJOQvLxp8+vh8\n5iu/7OxsmEwm6PV6ZGZmCg+qNTg5OcHLywsVKlSAl5cXlEolPD094e7uDnd3d6FR5eHhgapVuZY9\nf96ziBBf8Wu1Wuh0Ojx6pBHuE77i0Wg00Ol0guCmp6cL+Z6QkICUlBRkZWUV+VtSqdSisuf/5ysl\nvpLiG3K86JnNZphMJgvhyc7ORlZWlmCXNfmbtyGqVCqFxpS7u7sgNEqlUshzmUwGqVQq5L9UKn1q\n3WHt/cXnOV9HJCYmCo1GPp9TUlKQnJyMtLQ0JCUlITk52aIBZM1vOTg4WDRsZDIZXF1dhfqDz2te\nLEwmEzIzM2EymWAymYR6g29U5f1rtOJdn4eHBzw9PYWGkru7O1QqFby8vITni9/n7e0NlUoFd3d3\nuLm5wcXFpcg6pCTkfV7zNtb551StViMtLU3YNBoNkpOTkZSUBI1GI3xHb+X7IL4h6ezsDKlUCqlU\nCicnJzg5OcHBwcGiPjGbzRaNVb4uMRqNFo5D3rJ//fXXn/rbpSrUJpMpXyWzaNEiEBHCwsKwdu1a\nNGnSBC4uLrh9+zYGDRqEX3/91eL8LVu2oFWrVnjnnXdw7tw5YSJ4YfAtE74Vzt+8jo6OFpnHVxL8\nxmeiwWAQWkc6nQ4ajabIh8fR0RGenp7w8vKCl5cX/Pz8UKdOHZQvXx4qlQoeHh7w9fWFXC4XPF6+\nonZ2drbwuEoDk8kkVNB8xazT6ZCcnIyEhARB+JKTk5GSkoLU1FT8/vvvSExMLPRGdXR0FPKUTwcv\ndrzgAbCogPlKIScnB9nZ2RYVMt/DUBhOTk5QqVRCBaBQKBAQEACZTGYhdE9WHJ6enoL36+LiAplM\nJvTclBZ8pcx78unp6TAYDFCr1UIFwIv648eP8fDhQyQlJeH27dtCQ+9J7+dJ+EYbXynz9zdfIfMV\nsdFoFFr6fGNNp9MVeX2AayhKpVIh75RKJXx8fBAcHAxfX1/Bq1IoFJDL5VAqlfDy8oJKpRJEorTv\nYR5eZPj7mM9b3sPn7/PMzEzh/k5ISBDyIi0tDRlWDIAQiUSQyWT5xI9/PvmGMgDh3s7r4fI9ZUXd\nzw4ODkIjzMvLC1WrVhUakPw+XtT4BjIvgPx9XFZ5zactPT1dqCM0Gg1SUlKE/1NSUvD48WOo1Woh\n/+Pi4nD27FmkpqZa5SRIJBLBk+TvZb7hwTcy8oocL2682JlMJovGnE6ns6qBAXC9C3zDWKVSwdfX\nF/7+/kJe8406vvdGqVTCxcXFokEnlUpLvS4BINSROp0OK1eufOp5pdr1vW/fPvTt2xenT59GlSpV\n8Pnnn2PVqlU4cuQIgoODYTKZsG/fPlSvXh3t2rVD586dIZVKMW7cOFSsWLHAa2q1WiQkJCA1NRWZ\nmZlCBcm3SnjPgX9o+AeHb8E82R3BC7dYLBZuEL4y5Fvpbm5uQutcoVDAzc0NKpVKaCWqVCq4ubmV\niSdvC/R6PR4/fozU1FQkJycL3T9qtVroEsrb3WY0GoWWet685bvb+G42BwcH4YF0cXER8pcXe6lU\nCqVSCW9vb1SoUAG+vr7w8PCAVCotkxa4PcALPS82/OuQ1NRUpKSkCD0GfLcm34jku5j5/OY9LP4+\n5b1ZvkHIv/rgu495EeArrJc5jwFO7FNTU5GRkSF4VPxrET6P+TqEz9u8/+d9PQLkvhLhhZP/y+e9\nQqGAt7c3fH19hR4pvh5xc3Mrk0reXuCFRq1WC6LOe7cZGRnCfcw3vvgeK74BzztMfF3N19F5e2b4\n11G8Q8b3jkkkEiH/+R4UPs/5Rr291NULFizA0qVLBQeEb4A7OTlBLBajUaNGT118pVSFOicnB+Hh\n4fjxxx8BAO3atcOOHTvg5uYmnHPnzh2MGDECERERGDlyJNq3b4/mzZvjf//7X2mZwWAwGAzGS0OZ\nrEx27NgxGI1GtGvXLt+xzz77DH5+fujWrRsGDBgAJycnfPHFF/B/wVac5z0iT09PuLi42NqcMket\nVkOv18PHx6dMu+HsCd7r8vLyyjeYJicnB4mJiXB2dhbGVLzopKSkwGAwwNfXN58HaDQakZycLLx+\nYDAYzxFiFMrKlSupRYsWdObMGWHf+fPnycPDgwDQa6+9RmfPns33PbPZTJcuXaLr168XeN3ExERa\nsGABHTlypMxsLwnTp0+n9u3b082bN4V9+/fvJycnJwJALVq0sDjGYzKZ6Ny5cxQXF1fkb9y/f58e\nPHhQmmY/EwsWLKBWrVrRpUuXhH0nT54kV1dXAkAhISF0+fJl4ZjRaKTw8HACQA4ODjR37lwym80W\n1zQajfTtt9/SmjVrSKfTPbe0WMP//vc/6tixI/3777/Cvh07dpCDgwMBoNDQUItjGRkZ9NZbbxEA\nksvltGHDhkKvr9Pp6MqVK2Vmf0lITU2l2bNn0/79+/Md++uvv2j27NlPfVYPHz5MCxcupMTExHzH\nsrOz6dtvv6XVq1fbVTnfvXuXoqKi6I8//sh37NSpUzR37twCn8GcnBzasWMHrVixgtLT0wv9DXss\nZyKinTt30rx58/KVh06no9WrV9N3331H2dnZwv4PPviAunTpQo8ePbI4X6vV0pdffklbtmwhk8n0\nXGx/Gkyoi2DMmDEEgAIDAykzM5MePHhAHh4e1LVrV/rrr7+oV69etHz5covv3Lx5k1q2bEkACAC9\n9957FjfG5s2bSSaTCcenT59OBoPheSetQN59910CQG+99RaZzWY6f/48OTk50ZgxY+j06dPUpUsX\n2rZtm8V3zp8/T8HBwQSAxGIxffjhh4Jw3bx5kz744AMaNmwYDR06lGrWrEkSiYSUSiVt2rTJFknM\nR0REBAGg2rVrU3Z2Nt26dYtcXV1pwIABdPHiRerevTutW7dOOP+DDz4gNzc3iomJoYULF1KnTp0s\nKoW4uDiqWbOmUL7NmjWju3fv2iJpBdK8eXMCQO3atSMiohMnTpCDgwN9+OGHdOLECerUqRP9/PPP\nRMQ1OENDQ6lixYp08eJFmjp1KvXr10+4lslkomnTptGwYcNo2LBh1KpVK1IoFASA3n//fcrKyrJJ\nGvNy+vRpql27NgEgDw8P0mq1RMSlbcKECSQWiwkAubi40Pfffy98T6vVUocOHYRy9Pf3t2iw3717\n16KcmzZtalVDtazZt28f+fv7EwCqUaOGsN9gMFDv3r0Fe728vOjo0aPC8cTERGrYsKFwvF69ekLj\nJScn56nlHBERYRflbDAYaOzYsYL9eevl8+fPk5+fn3Cse/fu9PjxYyIiIc3dunUTzj9z5gz5+voK\n5/fq1YuSk5Ofe5p4mFAXwfXr14XC2r59Oy1cuJAkEgndu3ePiLiKatmyZRQWFkY6nY7OnTtH7u7u\nJJFIaPny5RQZGUkA6LPPPiMiIr1eTxKJhLp160ZDhw6lK1eukJ+fH82ZM8eWyRQ4cOCAkN4///yT\nRo4cST4+PqTRaIiIeximTJlC77//PpnNZtq3bx85OTmRQqGgTZs2CaLHi/nKlSsJAEmlUvL19aWe\nPXsKD3t0dLQNU5rL2bNnhTQfPHiQPv74Y5LL5ZSUlEREnNc0d+5c6t69O2k0GhKJRDRt2jTh+7du\n3aLmzZvTvn37iIioZ8+eVLduXerevTtdvHiRunXrRo0bN6aMjAybpO9Jtm3bJqT3xo0b1L9/fwoI\nCBAqW71eT6NHj6bRo0fTjRs3CACtXbtW+P7Zs2epSZMm9Oeff1JycjIBIJFIRD4+PvTWW28J5Ttx\n4kSbV+CXLl0iNzc3atOmjXAv8p7T8ePHycXFhQYOHEiffvop7d69m6RSKf3yyy9ERPT555+Tn58f\nRURE0Pfff0+zZs0iX19fun37NhER9erVK185N2rUyKblfPDgQXJ0dKS+ffvSzJkzydnZWTgWHR1N\nnp6eNHDgQFq7di2tWLGC3N3dhd6iUaNGUfXq1al3794UExNDgwcPplq1alFSUhKlpKQ8tZwnTJhA\ner3eVkkWCA8PJ5VKRdHR0RQUFEQTJ04kIq5BFhISQs2aNaPu3bvTzZs3qUmTJtS1a1cyGo0UHR0t\nPA/37t0js9lM9erVoxYtWlB4eDjdvHmTQkJCqGfPnhYO1/OECXURmM1mqlu3LgGgb7/9llauXEmV\nKlWi1NRUunjxIrVp04YAkEKhoLS0NAoODiYPDw/h5jcYDKRSqcjDw4OIiJYtW0ZVqlSx+I1jx44R\nAJtXakREWVlZpFKpCACdOnWKJk2aRI0aNaKsrCw6fvw4NWjQgABQlSpVSKvVkpeXF1WrVk3wJPiK\nu0GDBkRE1Lt3b/Ly8srXrWRPmEwmqlKlCgGgH3/8kebNm0c1a9YkjUZDZ86coWbNmhEA8vHxoYyM\nDJJKpbRx40bKyMgQGm4AaOnSpXT//n1ydHS0eB1iMBjI39+fvv76axumMhetVktSqZQA0JUrV2jY\nsGHUsmVLys7OpkOHDlGdOnUEj+ru3bskEono2LFjlJSURFOmTBEqtR9//JF2794tPBv2yMmTJ6lH\njx5kMpno119/JYlEQqmpqURE1KNHD3r//fctzp89ezY1atSIcnJyqHLlyrRy5UqL4506daLRo0fT\n/fv3SSKRWHjYRqOR/P39bdpTtH37dho9ejSZzWZav349+fj4CMcaNmxIUVFRFucPGjSIevfuTamp\nqaRQKITGJhHnRdetW5cWLVpEe/bsIQD0zTffPLe0FJcePXpQTEwMERHVr1+fZs2aRURcj4qDg4NF\nHZSWlkYSiYROnDhBaWlpwmuf27dv04kTJ8jR0VFoqBNxr05EIhGdPn36+SbqP2w/Zt3OEYlE6N69\nOwBukFz//v3h4uKCgIAAtGjRAj4+PvD19YWfnx+USiXS0tJgMplw48YN7N+/HwsWLEBKSgratm0L\nANi+fTvGjBlj8Rv8fD57mMLh7OyMjh07AuDSO2bMGNy9exe+vr4IDw9HcHAwZDIZqlevLszjNRqN\nuHLlCvbv34+ZM2cCgJBeJycnqNVqTJs2DQsWLLDLJQodHBzQtWtXAFyahwwZAr1ejwqHIGb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RKioqKKtK8gzp49i8aNG6Nq1aq4fft2gec8ePAA1apVQ926dXHw4EGr65FVq1YhISGh0N+PiIhA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\nIJVKMX/+fHY9vzDjSQ4AsPSHiu0LvBfUK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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(8, 6))\n", "ax = fig.add_subplot(211)\n", "\n", "years = np.linspace(1975, 2013)\n", "pct = 2 + 98. / (1 + np.exp(0.6 * (2008 - years)))\n", "ax.plot(years, pct)\n", "\n", "ax.set_xlim(1976, 2013)\n", "ax.set_ylim(0, 100)\n", "ax.yaxis.set_major_formatter(plt.FormatStrFormatter('%i%%'))\n", "\n", "ax.text(1977, 67,\n", " (\"Percentage of the US Population\\n\"\n", " \"carrying cameras everywhere they go,\\n\"\n", " \"every waking moment of their lives:\"),\n", " size=16)\n", "\n", "ax.set_xlabel((\"In the last few years, with very little fanfare,\\n\"\n", " \"We've conclusively settled the questions of\\n\"\n", " \"flying saucers, lake monsters, ghosts, and bigfoot.\"),\n", " size=16)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And as my favorite example, we can recreate any of the animations I've\n", "shown in this blog, making them xkcd-style with a simple ``plt.xkcd()``\n", "annotation. Below you can see the double-pendulum animation from\n", "[this post](http://jakevdp.github.io/blog/2012/08/18/matplotlib-animation-tutorial/),\n", "rendered using the XKCD sketch path:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "