{ "metadata": { "name": "development-distributions" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# QuTiP development notebook for testing distribution modules\n", "\n", "Copyright (C) 2011 and later, Paul D. Nation & Robert J. Johansson" ] }, { "cell_type": "code", "collapsed": false, "input": [ "%pylab inline" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 1 }, { "cell_type": "code", "collapsed": false, "input": [ "from qutip import *" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 2 }, { "cell_type": "code", "collapsed": false, "input": [ "from qutip.distributions import *" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 3 }, { "cell_type": "code", "collapsed": false, "input": [ "N = 20\n", "alpha = 2.0 + 2j\n", "rho = (coherent(N, alpha) + coherent(N, -alpha)).unit()" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 4 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Wigner distribution" ] }, { "cell_type": "code", "collapsed": false, "input": [ "w = WignerDistribution(rho, extent=[[-10, 10], [-10, 10]])" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 5 }, { "cell_type": "code", "collapsed": false, "input": [ "w.visualize();" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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tYmfYMhM5Z7t2ghG1s3HZ3Elgl8bGRvT09OiPe3p60NTUlPSY48ePo7GxEeFw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\nRURELOq/BaMr0nUKvvsAAAAASUVORK5CYII=\n" } ], "prompt_number": 6 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Husimi Q function" ] }, { "cell_type": "code", "collapsed": false, "input": [ "q = QDistribution(rho, extent=[[-10, 10], [-10, 10]])" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 7 }, { "cell_type": "code", "collapsed": false, "input": [ "q.visualize(style=\"surface\");" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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Um2mXTlTD3aSCFGzQKKezcC0NllUJWpVEEamJTSicPQXLsmK57lttAhfVOJCu\njTWi7nOapsW+IBxkSIwMKH6XQbFYjHs4delWgGojumGd4C4v27aRz+cDWQ5JgFtDuLXmmZfmKxOF\nVa75nl/Onq+7UqaU0vb45auvQ8xMeI8ZE+A6NqTMGBxLhqueBRMkiLIEUclCTqXx3LEXcfsHbo5x\n1Gu0E4dC4jWIf/+b6dhL1EYgMTKY+G8iSSiDXmscSY+34PjToVOpFPL5fMs32l6fg6hg34ULK2CO\nDkmRYDtypNn/5LvVQay1MjZqmfKjVsqjzquzZ8CUtSBVlzEwx4CUv6xyHs7PA4IEUaocX1lJ46W3\nzuL2D8Q14sZ0Eocy6tcGWUY6gwJYh4CkiBE/gxSg2g33US9vwNwaEtV4b7FQEXpibgNEVoKrr4Cl\nxwPvP32xOctZM7EGhmEMZM2LXjB7+hJcJe89diFAVNJrE7oowQEgSqvHUxSxcFGNZ7Ad0s61AVRS\n4bsdh5IEokQ/rztEtAe5aQaYpIkQnmKs67pnYehnefRWj0dU8bKk3TD91pBw471SqVSprrthK5ik\ngDEVbsT4l0vtl4VvNtYgXPPC7+JJ2jHtFq+dnIW8/hrvsSMwCPJaACOTFcByAXH19iTIOH+ptjtt\n0Kh3bViWFbCgjEIcCrlpOoPEyBCQFFHCV0eWZSU+QLVW8bKkwDN5TNNELpeLjF3596PHIYki0huu\nglm8WFmtiTJcywDzmTwNq+KC6pZ1qlGswahMQueWShAya8dASI3DLa94j0VBhOWaazdZOYOzFy/1\ne5h9hZ9bSZJgmqY3OfstKLZtD3wcSi3LCImR9iExMiTEKUb8AaqSJGFsbCyWG0ozoqxXxcu6KQh5\n7AqvG1NrfG/MXUIqXVmJi5kJMHsWkLJw9JWAGIGSxU9++nN89EO/3pXxReEXKH4R6p+Ehq0oV1kI\nusMESYE4eYX3mIkSYBUh5N8DAJDHN+P8uZ8F3jOsNWDC+xXlxqsVhzKoMUokRjqD6owMAXH+UP0B\nqul0OtE316QH0/rjbGpZQ/y8fbbgBX0JogSRCYjqjsOYgJdOncZHP9T9MTei1iTEXTyDvEpWLRnw\nlZVgAKTsWnaNqGQA5zzk3GUAAEHJQtP1Po8yubQTh5JkF2C5XEYul4t7GAMLWUaGgDjcNFEBqrqu\nwzTNvo4jirAgaqV4WVyE65o0c5OdP7sIV/H1OhFri6sT88lxD3Azvp9msjX4dkmZgHQneLzD45LX\nTQOn3wg8Zs+rAAAgAElEQVS87rjJEsBJo14cSiMXYD8FbNR1qOs6Nm7c2PPvHlaGJZtmJH/h/h9D\nv8QIr6BaKBQgCAImJiYSM7lH3YQMw8Dy8jIA9HSs7QpCx3FQLBahqiry+TxyuVzTN9MzZ89AWrfV\n+xyw1Ru4IMG1g0Grc+eWWx5bP+GTkKIoSKfTyGazyOVySKVSgT5MpVIJqqpC0zSvU3IcLsrzFxdh\n+tZAjmVU3DI+BEGAEHounr7Og43f/ZdKpZDJZJDL5ZDNZiHLMhhjsG0bmqYFrg8eWN2v64MCWDtD\nEFhTf1EcOnQI1157LXbs2IEHH3wwcpsHHngAO3bswK5du3D8+HHv+aWlJdx1113YuXMnrrvuOhw5\ncqSj/Rh5y0g/aJQCm5RAWqB1l0cccGtIu1lHugkIuYoOd7RlMFEGrIo1Aa5v2rN1vLmQbDEShX+V\nLEmSdy6TUAvlX469Cohr15RVuui5Y/zwGiMce0QsI/2wYNWLQwlbUcLXR6ep6BTA2n1YDaHRCNu2\ncf/99+Pw4cOYmprCrbfeipmZGezcudPb5uDBgzh58iROnDiBo0eP4r777vNEx5/+6Z/izjvvxD/9\n0z95iQ2dMPJipJciwJ8CG1dH4FboVe+bbuEXSp1UeVXNtXPulAsQlDRgqRBTOcDWYa++LEgiyo6C\nH/3rUfxPH76tG7sQG82mGmua1tNaKK+/W4LjMs8k65paMGh4FSm/PvDYFuTYSsKPAs0U8+tVKjrV\nGemMdo/7sWPHsH37dmzbtg0AsHfvXhw4cCAgRp588kncc889AIDbbrsNS0tLOHv2LNLpNP7jP/4D\n//AP/wAAXkHJTqBfdo/wB302SoGN2zJi2xVrgK7riUwtDld57VQolU0b3rsZgyDKAFTI6Sws3QHM\nimtDUlIQoeDw8bcGXoxEUS/VuFe1UE6dW4HL/IIoejsxJDSFsS34+fGXcdutu1v6PqJ9Wo1DaTfT\niywjnVHLBaMu/ALlhV/UfN/CwgK2bt3qPZ6ensbRo0cbbjM/Pw9RFLFx40Z87nOfw4svvoibb74Z\nDz30ELLZLNplNGyfIfgPpBcigMcylEolZLNZjI2NJa4WB4en6/LYkHw+33ch0ugc8OOpaRrGxsaQ\nzWY7t9hk/MFyAgRBhGtbkLLjgVgFUZLBUhm8cKK6a+ywwkWHLMuBOINMJuOtmE3TRLlcRqlU8tK9\n/ZNSPWbfWYCQWqu+WvNMulbgoZSdwM9fe3vt5QQF5I4SteJQeIB7rTgUHqfEXT9+mhUjSYpvSBKC\nJET+5a+6ERs/8GnvL0yzv5/wb5oxBsuy8Pzzz+OP//iP8fzzzyOXy+Eb3/hGR/uRrCVwn+mmGPGv\n3lvJ7Oj2OJolXLxsZWWl8Zv6SDd63kRx8eIiXCXrs4y4YKIE5lqQspOw1EtwXQ0Ag6SkwNLjOLf4\nZsffO8h0sxbKcmEJbPN27zNEMfqcsqqQVQGzFwazJHwrDKrIqpfpxa0olmV5AdWu6+LZZ5/1rptG\nYiRp8Q1JQmjzepmamsLc3Jz3eG5uDtPT03W3mZ+fx9TUFFzXxfT0NG699VYAwF133UViJAl0o0dL\nv+hXJ+BO4B2AHcfp+vH8/559HhDWXACMMQjpMTBWEYPK+q0oX3oeLhiUddNgcgrFuRe69v3DRDu1\nUExHDJhjxRpp1XI2A0cvrllRGMO5otOjPSF6QVQcij8m6c0338SBAwfwwgsv4Omnn8bNN9+Mm266\nCbt378YnP/nJgEU5afENSaLdANZbbrkFJ06cwOzsLK644go88cQTePzxxwPbzMzMYP/+/di7dy+O\nHDmCyclJbN68GQCwdetWvPHGG7jmmmtw+PBhXH/99R3tx0i6aTidWiT8bg5FUTA+Pt52s7h+WEZM\n00ShUIBt25iYmAj0lIk7boX7onn6M+8p021h97NX3gZT1gosuS4gymlI8moRNEGCKEkQGIOgZMCY\nAMhpvDk7V+sjCR98hcxTjbkJP5VK4d0zZ+FIwUDFWqs6JTsG1/BZQpiAJdWK3JYYHLiVTZZlfPGL\nX8SPfvQjfOADH8Dhw4dx3333IZ1O48CBA1UiNyp2YWFhoeE28/PzeOutt7z4hve///34whe+AFUd\nHisbE1hTf2EkScL+/ftxxx134LrrrsOnPvUp7Ny5Ew8//DAefvhhAMCdd96Jq6++Gtu3b8e+ffvw\nd3/3d977v/Od7+Duu+/Grl278NJLL+Ev/uIvOtqP5C7he0g3JuBWAlTjhnevTWLxMn4ueKZML6wh\nft45XwQT1wqesdVgSnl8w9pzogSBrbkJ5HQezx5/HVdvW7vREc3DV8j/9doCJCVojmdwEf4FurYJ\nOZuCWda856T0GC5cmO/DaOMlKSn+/UTXdVxzzTW48cYbMTMzE7lNN+Ib9u/fj1tvvRVf+tKX8I1v\nfANf/epXOx57EqgVwNoMe/bswZ49ewLP7du3L/B4//79ke/dtWsXfvazn0W+1g4jbRlpB+5CKBaL\nyGazyOfzHQuRXlolDMNAoVAA0Lh4WRw3Qv6dy8vLPbOG+Lmghkz9qzc5ZXJq7SlRChTiYoKIt84m\nK6ZmEHnjbAkCC91yIlKGba2I9PrL4S91xkQZqmHBsqyhn7CT5jbtJlExMaZpNkzT7yS+YXp6uiq+\n4fnnn+90VxIDE5r7SzoDMMTewX8Uzdzc/C4EAJicnOxas7he4K9Qyk3l9WpFxLEftm17gbNjY2PI\nZDI9H8eK1vhcC4IIwdfvwRVELFwYnoC3uJi7qFVZQezI0+Gslrh2Q9uKnkWS/x55t+tmMnmI5NLo\nd++PbzAMA0888USVFWVmZgaPPfYYAATiG7Zs2eLFNwDoSnxDkhBFoam/pDOSbppW6XWAaq+yepJa\nvIxPJOVyGel0GpZl9a35Xtl0g03aIo5NxSqydj5Ydj3enn+3D6Mbbs6tGFXXucMEVNsVedW54Llx\nmQzHcZDL5TwXqeu6PSvGRXSfWtlCjc6RP77Btm3ce++9XnwDUHEt3HnnnTh48CC2b9+OXC6HRx99\n1Hs/j28wDAPvfe97A68NOu0GsCaNkRcjXAhE/Rj8FVTT6XQg4LMXdJrW14lo6lcAKx8jAC/WRtO0\nBu/qDo7jQLfc4OQXcbyl3HoYF9/yHgtyCsWiUbUd0RqXSjYcVwiYY5lY220YFqhiKoefvfQ6PvTr\n7wcAr78KECzGxYu1RTWF4+XukypQBjW1t11aueckKb4hSZAYGWD8P/Zak7BpmlBVFYIg9DxAtdOb\nT9jS0GvR1A7+McaVUvz8S6/ADXsmI5ypcm4dzMVT3mMpM4GVM4PXoyZpLJc02BBCZyBilbxqGREk\nAYEIH0HAWxdK+FDEZ0dVkwXaq4VC9B869u3Tbp2RpDGSYqQejuOgXC57mSf+1VcSCRcvS2JWT5Q1\nxE+/rDIvvXW+6chzxde8jYkyTItqXHSC4zgoF5cBJVTfIeK08zMkCIAdsBQIeHdJb+l726mF4hcp\nSf7tDyJRlh86xp1BlpEhgU+EURVU+xXH4B9HKyls3Sxe1gtBkLRGgW9fUCGKQtT8F6ByHII1LWx3\nOH7wcfHL104BUnWAsht1PfACdBMboF8sQUzzwmcCzhU6d5fVqxZq23ag54rfcuKPQyGIpCBKyQ9O\nbQYSI6u9FFRVHYgKqkCwxkm/RVOzJNFis7Cog3lOgAoswk3jWhpEORTLIKXw5ptv4fLLt3iTEo8/\nIBrzwptnIEgynCb0Lj+k6fH1WDn3JoCKGHHBcKEULhPfHWo1hYsqZ8637YVA4RaaYSW84IrqVUO0\nxrAcv2TPuj3CH/TGi23FHWvRjGUiXLysmy6kbllG2rGG9MtNc3a5HBGwWu1+cYwy0tmxwHPC2OX4\n6c9/gU/97rQXIOkvbU0CpT6zFzSEfTKOZSEqZsTvShPctfPjuKyvVVijypn7BYrjONB1vUqg0HXQ\nPJqmIZVKNd6QqMkg1BBphpEUI8BagKrrushkMkin043fFCPchcT7KiRx9ZREawjHMAxcWjGqYhSi\nLCNgLoSQO0fK5PH2xVKgOBN37/H4AxIotTm9pMNxLDBx7fg55UUImcmqbf2nRGBrFVpdMKxo8RY9\nq2VBaeY6oFTjaprt2EvUppMKrEliJMUID6jMZDLQdT0RN4da1gFuubEsy7OG9Ip2b/J+a0g2m01U\nMTj/8SsZDtyQ+GA1RJ0kizAcG4wXP2MizpeDP5eoDA4SKNGcW9bhaCuQJtcCgx1DhZjfWLWtXwYy\nnxiBKKOk6r7XknH86l0H3MXDY1AARMagJGVfek3YTcMzAIn2oQDWAYbHWjDGYJpm3MPx8IuBfhcv\na/ezuTVEEITEWWz48ZNlGRMTEygbTsDaUZkcolJLgeymaajvnIbMs2oYw5kmgidJoERzSbXBHHu1\nsmoFVivWwmdQE4Q1R5qQHkf53Cu9HWiX8F8HPAatmVootm1DEISRqTfCazgR7TMI1VWbYSTFiH8l\nEne3Wo7/xtPriq/dwJ/N06k1pNvngMfWmKbpWZMsy4JpuYDr64FglQExwtLE3Mqk6fiCJRnDUrm9\n9F4SKMBKuTrWo5av2183wR9uzAQRDkScO38euWy262PsNc3UQuEVZQ3DGLpaKFG/cV53iGgfsowQ\nXcdxHGiaFkvxslYEQZKtITzTiFtD+PF7/hevgCl5ONqSt61VXoYyvrnqM5j379rxEKQMFgtnujbO\nURMoZVWtjh1mEYXgHQeivPY8E4LXpCincfzVt/DBm4ent4i/Fopt25BlGaIoDm0tFP94KWakc0QS\nI4ONv65HEiwjQGWV0I+Kr+3STWtItwlnGoW7E7/69uJqTQvfeC0DEKp/Amtb+MRIKgftYqHr4w58\n75AKlEpzSRPptBys3hIxXkcvIr15s2+TUIEsgWF+abhL8/PrYBRqoZCbpnNIjAwJcYsRPsFblgVF\nUZDL5RJ5I+EWh15k83R6DpoZ28KiCrt0CYLiW4XVCBzk7gNB8AdSMrhSGhcXF3HZ+vVtj7VVOhUo\nSeC5519Fet1G2GqwpH5kjRfbgMSLnAFwQ5sIgoDTS/3pZRQH9X4H7dZCSYpYjYqDITdN55AYITrG\nX7xMluVYS88zxrxofz9+a0iUxSFOWhnbmYIB11yBkFvve390DAj/bYdPhaDk8OwLb+B//vCvdTz2\nTmhVoAAIxCD0+xr75ex5KJkcNKMc3I+om2hobHJ+EuUlFWKqEiPCAFxYSU7Qedw0UwvFMAxPoETF\nocQJuWk6h8TIkFBrEu4lUcXLeM2TJNFLa0intBq3cmFFh+A6gVRescZ72Go5ckEIlyVhmL1QjnpL\n7NQSKLzXEg+MjMPF8+bCaci566EtX2y8cUggyuMb4Zx/e02MCAIWS1bsq/wk02wtFNu2+1oLJcoy\nQmKkc1JDUg5+OPaiA/rtpjEMA4VCAa7rYmJiIjFxF/7j4LouSqUSisUistks8vl8YoQIF3IrKytI\np9NNj+1SyQITww26orfl50MQg2ZzBwIWBihewS9OUqkUMpkMcrkcMpkMJEnyBEqpVEKpVPIaRFpW\ndwuLLWurWUm+j3TL5wGzGLF18HsFQQDzCRTGBBS0/lVh7Te9Sunl14Isy1XXgizL3rVQLpehqqpn\nceRun17dI8lN0zmiwJr6i+LQoUO49tprsWPHDjz44IOR2zzwwAPYsWMHdu3ahePHjwdes20bu3fv\nxsc+9rGO92NkLSP9FiGNipfFHbvCicMa0uy+d5LFs1I2IYRqitRqvc3dB+nJjVheLEJMVUrDu0zA\n/IWVpr8zicQRJLusWcA44LoAGGCrlzB9zeUwihksnrsIV1krhBZR9gWK5K4V7WcMJZ06KHeDdmuh\n+K+FToWTpmlYt25dN3ZnZGnXTWPbNu6//34cPnwYU1NTuPXWWzEzM4OdO3d62xw8eBAnT57EiRMn\ncPToUdx33304cuSI9/pDDz2E6667Disrnd8Xk7HcjZFeiwDXdaHrOgqFgjeJ9rKKaru4rutN9km0\nhpTL5ZatIX6Kuo3qVXf0tjyuUslPgpk+t4wg4UIhmW6aTqi3au6GBaVkrlrcVh8L1gpyGzZDTmcw\nsU6G63OTsqgidIE4XAFlI37RPqz4xYmiKN614O+FZds2yuUySqUSVFWFruue26fe9UBumt4gCkJT\nf2GOHTuG7du3Y9u2bZBlGXv37sWBAwcC2zz55JO45557AAC33XYblpaWcPbsWQDA/Pw8Dh48iM9/\n/vNdmUNH1jLC6aUY4d2AHcdpWLwsTssIN88CSFxsiG3bKBaL6LTfTXllCYrC4A99ZIyFW9V4z3ME\nfyM9xqBa8bvU+kE3LShl00EKqKgRbRFiJrf6HQI27rgWS0deAtIbVp+rPiOCpICXn3MhQLNIjPSb\nZlKN26mFous6iZEOqWUZOf3Kf+HMKz+v+b6FhQVs3brVezw9PY2jR4823GZhYQGbN2/Gl7/8ZXzz\nm9/E8nIwS65dRl6M9AJuDYmjeFkr+F1HqVTKK0Xdb6KEWDvdf2vhOA5cx4QyNg4z8DXVn+e6DkTJ\n97zrr8IqQO9NB/uBoF2BYthACoDjMCgp2wtS5duksyI0h39H1Peu/d8Bg2M5fQ867xeDVAa+Xqpx\nVC0Ujj9wttmYkUOHDuFLX/oSbNvG5z//efzZn/1Z1TYPPPAAfvzjHyObzeK73/0udu/eDQDYtm2b\nt5CRZRnHjh3rwt4nB6VGAOtVN/4qrrrxV73Hx3/wcOD1Zq+zqHvzU089hU2bNmH37t145plnWhtw\nDUZWjPSqHHy7nWv7ndVjGAZKpRIURcHExAQsy4JlJSMwkJfDB9CVAnBvnDwFITtZncob8WN0TQ3S\nep8P2/ceQUpDLy9iZWUFY2NjHY1pWGgkUObn5wElu/o8kMlKsAyTvxkAkMsrKBccMCZARETZeLam\nAEVHgwUZb749h12/cl0P94xoh3oChbtydF3HV7/6VTz99NO4/PLLoes6HMfB7t27I+NHOo1tYIzh\nmWeewfo+1gfqJ2Kb4nVqagpzc3Pe47m5OUxPT9fdZn5+HlNTU/jBD36AJ598EgcPHoSmaVheXsZn\nP/tZPPbYY+3tBChmpGv4szxSqRTGxsYSU3TKj+M4KBaLUFUV+Xw+UUXWuDVkeXkZiqJ07Rj+8s0z\nSI1NwHWC++lEaFDX1KDkfbVIfG4aIZWD61j4zxdf63hMw4w/BuXpf/9P5K54HwDALi9hYnorlEwl\nZooHCq+/egdc7RIAQJGjbklrWV6yZCOVkfDGO+d6vyNEV/ALFFEUkc1m8dWvfhXf/e53sWnTJiwu\nLuKv//qvceWVV+Lqq6+uCobsNLYBaL8j+SDQbjbNLbfcghMnTmB2dhaGYeCJJ57AzMxMYJuZmRlP\nYBw5cgSTk5PYsmULvva1r2Fubg5vvfUWvv/97+PDH/5wR0IEGGHLCKcblhF/8bJ2Yy76ETMStoaE\nRUicP1jbtrGysgLXdbteDv+12TOQMjnoxUXvOUcrwnXdiB9A0KQM34+YMQZJEDB7Xu3a2Iad0wUd\nglg5ygJ0KLlxTF61HcBaBVZBECDJDA6im+d5kT1aAeLYZRAdDadXkmHF6ybDPGECQReUoii48cYb\nkU6n8Vd/9Ve45pprYNs2Tp06VWV17DS2gTGGj3zkIxBFEfv27cMXvvCFHu5l/2k3m0aSJOzfvx93\n3HEHbNvGvffei507d+LhhyvunH379uHOO+/EwYMHsX37duRyOTz66KORn9WNBS2JkQ5EgL94WdJ6\ntfjxx4bk8/nIbJ64xs3N+ZZlIZPJ9CS+ZuHcBUjpa1BePc2OVgAsAymhDMuxwHz9acK/ayYFRRFj\nDO8OUK2RuCm4FReNYxmQV2NxRDkFABB8BzuVYijbQJSjkv86JaZDECcgpUTMLgyvZSSJ95BeoWka\nsqsdmEVRxDXXXFO1TbuxDZxnn30WV1xxBc6fP4+PfvSjuPbaa/Ebv/Eb7Q86YUgdVGDds2cP9uzZ\nE3hu3759gcf79++v+xm33347br/99rbHwBlZN02nP/hw8bJOAiz5eHqxMuLjTGJaMXcZ2bbtpZT2\n4kZc0CoxCu5qjqjslCBls9iw/RqITrD5XTibQ2ShmxxjOEvlyJumaFeEnrGyiNT42orX0lQI0lr5\n/nSmcm5YhEVMSGXhWDpEwYLjupDTaSwur/S0UBvRfWr1pmnUKK+T2AYAuOKKKwAAGzduxMc//vGh\nC2DtpOhZkhhZMcJpVQT4Yy5yuVyi6nH4cRwHKysrUFUVY2NjyGazdSf6fqYW+2uv8HoGvTyGy3rF\npM8EETCXIeUnIUoiGBOQH5cD+x0ehTJ5GRy95HuG4WJp+FwEvYLrNsfUse49a6tevXABUibrPZ6c\nmoarFyKb56UmNwOmCjktw9aWwQQG1XL7XkmW6D5+y0gt2o1t2Lx5sxfHBwClUglPP/00brjhht7s\nTEwoktDUX9IZeTcNp1FKneu6MAwDqqoilUpFxlx0QrfEQHic+Xw+UWZfx3FQKpUCtVd475ReUTYq\nxn8XQDoFKLkMDN2Ey4AN23eicOxlIF0JWhVClpH0+AYUz78JoNJJ1mUCCipZRppFtQDIgCSLSOUn\nvOctXfPcNQCg5MaRYkakGKnUqnAhpxU4pTIYY9BMp6rRW68ryfaaURROhmEglUrV3aaT2IYzZ87g\nE5/4BIBKpuPdd9+N3/7t3+7tTvWZQbB6NMPIi5FmbkqtFC+Lk6iJvln6GUDbb5GkGpXUUNcFlLQI\nMSVCtNe6mCqptWJoUUMSfQLFhYCiPnqTRrtoFgNkQHCDAi7qzIuOCil3eeTnMOZCkgBbEsAEhrJV\nXfAljlL33SYJY+gVvCBa+Llm9rnd2Iarr74aL7zwQhujHRxIjAwRfCKOyi7pV/GyTgNpk24NaRRA\n20s0y4UMwNZKGN/+PuiqDluyvWOUyYrwqr5HVABlcLwgShcMmklipFmM1XRqEeGg3wizsV2EPHZZ\n9fOoBB3nN98Ae/5tMIHBaPIcDINAGXboGHcGiZEBp1Faq2VZUNVKCme3U027SSfWkH7QKJ2Y00ur\njM0ykAEwW0VqfD1s8yxMkXlmkPErprD06mkISr4qmwYABLheOXLHZXCYgtNnzmDLatogEY3jOLBc\nBtF1qywjUShZBYIQff0yV0MqNw4lk4YAwHA7CxYngdJ/Bqm67CBBYmSI8P9AulmGvNUxtDIhd9tq\n0203TSvWkF4fX3ndFgCAKFb2LzU+CW3pLQCVKP702CRE9k7F+hFVjty3qndFGUxS8Nzx1/A7v5Gv\n6sFRrw/HqPHiK6/BhQhHXcL4+miLh5/8xilotuXVJfEjrVqsxqfeA3XxAuwuFytOgkAZtcl6FGNk\nesEgBKc2A4kRrE3EpmlCVVUIgpBoawgvl+66biKtITyzQZblrgf6tsprr78OV6wEyHExIsopZC7b\nAOYr9S7LQpUjgaOkU16Rcik9DrNwBufU9yCXy9VsFBaeqEZpkuH87OUTEFNjcMuLEFPh/iPVaiI9\nPoHy4iIwtqnqNTlfaa4niBIYXDAli9OnT+Pyy6NjTLpBEgTKKEDHqTPIMjJEcGuIaZqxFS9rxjLR\njxiWTlZnvAicaZpey/G4+cnR4xDTG+C6DjLr1ya5zOQG6IXz3uNUmsHQanyIT7QwUQJcE2cKRs0+\nHHyisizLEyj+SYpbT4b9Jjx/qQRB3gBmMjgug1/aR+27KDDIzIksfKb40oAFgSE3dQ0O/eu/43N3\nf6r7A68DCZT2ibq3jPLx6Bbt9qZJGiMrRviPwDAMOE6lC2i7pdz7gd8a0gurTac3BW4NkSQJ4+Pj\nLR3HXmXyuK6LM4XKpGAXLyJ32ZoYcRwnkDqTGcthuVRJ9w0TamkDAcD5YnQMRFSrdX598YnKcZxI\ngZLUa69dlq3KNZpSRITPbtRqjsGFIjqI0oTMXavtIippMBO4mJCsJhIo7UFumu4gDMn1M7JihBcv\nsywLoiginU7HOhnUmpD7mdHTDq7rolwuQ9d15HI5KIrS+E19wLIsFItFFMzVbA7HgCCNe687hgpR\nWrPcjE9tw5m5F4EIY44rSHAdu1I0DZWV+aJanVpaiyihwcUJb7Pub6s+LBMVL3iWloWqXrxClBhh\ngCKxSDEiuWvHW86NwV48g2UzueKtHYHCz/Wwxo6E72+6rifmfjHIiENyqYysGAHglUgvFotxD8XD\nfyPi1hCgPxk9tVKca8EnfEmSEmNV8gcgZ7NZaFi92TllSKm1stNWaQWpiWBLcUkSIguNpNZPofzu\nBbDMZEXEOAYKamdVWLlA4VaUehOV33IySAKlZAlw4SCTFlAIGZJYRKSwABdKjUtcci3v2mSCCAYX\nqp3MmK5aNBIolmV52XHDJkw5/n3gSQJEZ8hi/PfdbjCyYkQQBK8McT9LodciCRk9zeK3hmSz2YYV\nFBvRreNv2zaKxSIYY544KuqrLxoqBNknRrQiMpdtCbxflhmi+viKShoCW63iqq8gk5Ox3GUB28xK\nmrsU/QLFH4OSNMoWg6NfwqbrdmD55GzgtajuvAAgyxIQYXTK5jKwNBVyphLIygAUh6Aqv/+883OY\nTqdHwsVTLpdJjHQBctMMOP4fcRLECIdXewX6X9+kmeNgWRZKpZJnVUqKNYS7ssLijU9YguCA+cbK\ngMBjAJAUBtuK/mGLYmWOlAUDSiaP0lIhcrtuUkug+F08fDXtt5wkJcVYdxgkmJAkBW7IEsJY9XXN\n4GJ8w0bMv1OCmMp5z9tGGZuu3IZ3CyVPjAA2VHM4bsJhhjUGJWx11TStYZM8ojHkpiG6ChcBKysr\nibWG+N0fcWQcReEv+hYl3jQLcGFDkYPPRw1dSQnQI8qMA4AgAJZVRiabggsBjiDEsrLzZ/DwbKWw\nQOFBsv5YFdu2+y5QDAeQxWhxyyJiRgQGjG3YDPfkLwCfGHH1IiY2XY93C2+uvd/WoTvxC+FuUs9F\nOrmj65cAACAASURBVIwChSwj3SEq/moQGWkx4o+RiNMywq0NABJZNySJ1hBgrbprvcBe3QJsYwlj\nG7dUBVGGmZy+GhfePBn5GoMLwdEwfvlGlBaXkF63GT978VX85q+9vwt70hn1BIptV8SVpml9rYFS\nLpdhuQIyksUHGRpzxDXkVFxhYRe4hIqwCtSFEdnQiZFWGSSBEnV/1XWdLCNdgNw0RMeEY0PK5XKs\nK5iwKOtX7EqrYtBf3bWReNNtQGIWXBaM2hci3F9MYEgp0bVRGGwosoDseAZLZ89DyeUxe6GE32x6\n1P3FH1diGAZyuVxAoPiLtEUFyHZ6no+/+gbAJEjiaqxN+PRGfD5f4UmCGwgb4fE68CUIS6IAM5xz\nTSReoPg/X1VVsox0AXLTDBFxWEb81gbuXuCr1yTQ70yeZmm1uqvlMiiiU1XngqfpBrbVVCiSG2lB\nYah0jc1MrIdjvAY5uxW/OPk2gN9oe1/6TT+LtC0saZUuyQqr1HQJd2uNsIyw1ZLvssQCYoSXghd8\nvw1RFFCuEd8zqPQqpTepAoViRroDZdMMEYyt3jD7QDgTxR97Ebdflx8HTdMig0HjpN16JpYLZEXA\ncYPnN8rNapsGFFmMFiPMhbi6BFEyKbhGGUuWHrHlYFGvSFu9GiiNirRdLNuwyiWse++V0FaWICqh\nFXDUNeWsihFRCNQaEaI6KQsMdlQjIaIp+i1QooQWjz8jOmNY3DTDIakGBMuysLy8DNu2MTExUTXR\nxx27wid8wzAwPj7etwJrjfabHzdeJbdZIXLx4kW4LoMiMcBtbNlhjo1MpvZKTZIqx0JW5EpqqTEE\nuaUR8PonqVQKmUwGuVwOmUwGsiwHejiVSiXverEsK3AOzxV1OEYJYxs2Y2XxPKT02qTjWBYQkU0j\nrNqvFCl4LXARKPjtW0yA4zIUCr3PahoVuOiQZbnq3EuS5J37UqlU99w3C1lGuoPImvuL4tChQ7j2\n2muxY8cOPPjgg5HbPPDAA9ixYwd27dqF48ePAwDm5ubwW7/1W7j++uvxK7/yK/j2t7/d8X6MtGWk\nXwGs9awhSYCnxtq2jVQqhWw2m4jxdZrB8+LrbwJgkGQBJoINecNpvUBlspNFIMo04jAGUai8IEkM\nrsCgGv2xpsWNfxVdq0hbuAbKu2cvIrW66rUtJ+AWM4pLSKWDK2LHtiArlXo1aUWEW3a8IFfupglY\nowUBLnPxyxNv4QO33NSrXR95umVBqWUZoZiRzmnXMmLbNu6//34cPnwYU1NTuPXWWzEzM4OdO3d6\n2xw8eBAnT57EiRMncPToUdx33304cuQIZFnGt771Ldx0000oFou4+eab8dGPfjTw3pb3o+13DhG9\nFCOWZaFQKNS0hoTpt2WEl8XXdR2SJEGW5UQIEdu2sbKyAtM0MT4+3pa76NTCeUBUoKTk6piRqJgF\nAJNbLoetVq+2lcktEFcn4vzGzYBrQ7WTEd8TB+FVdDabRS6XQzqdhiiKuKRqSK8GA4ddZFZpEWJI\njFjlIvKrvYM2bt0Gy3cOeGBrwJYiynAsC2+dvdj9nYuJQSkD344FxTRNT8Rwmk3tbXf1zrFtG7t3\n78bHPvaxznY8oYgCa+ovzLFjx7B9+3Zs27YNsixj7969OHDgQGCbJ598Evfccw8A4LbbbsPS0hLO\nnj2LLVu24KabKouAfD6PnTt34t133+1oP0baMtJL2rGG9DvVzjAMqKrqpcbGWRaf36TqFTBrldkz\nF+Haaazbuh0rp95quL0AF5mxSQj2OwAmgi+aZWQ2rgMAZNdvglo4iQ4rwveFfopbf4Cs4UhejRGn\nSvgJ1ZYpy4SSzQMAJCUNwdeLRlq9kQoMXkdfJohgAsM7p8+DiJ9GFhTbtuG6LkqlEg4cOIAf/vCH\nWL9+Pa688kqcP38eGzdujPzcTlbvnIceegjXXXcdVlZWencAYkSuUWfkhaPP4YWjz9V838LCArZu\n3eo9np6extGjRxtuMz8/j82bN3vPzc7O4vjx47jtttva3QUAZBkB0H3LiGmaKBQKXoxDsxNqv2JG\nuDVE0zSMjY0hk8l4N5M4Ylb4sfFbacbGxjqOWVkxHIjMgSQpqDKNRI1jdapThGr3ixwKl5QEF2bz\nvfJiJY7Vtu4IUOTK7cUNtUKOintloRMk+oJWpVWHt/85MTsGGCoKxuhap5KO34IiSRJEUUQul8OH\nPvQhfPzjH8fKygqeeuop7NixA1dddRU+8YlP4PTp04HP6GT1DgDz8/M4ePAgPv/5zycmU7HbCIxF\n/r3/1z6IP/rTP/P+wjR7XwgfN//7isUi7rrrLjz00EPI5/Od7UdH7x5w/Fks3bhQufIvFovIZrPI\n5/OJKRDGMQwDhUIBoihifHw8MQXWXNft+rhUi0EQVi0uzbxhdbKTIk6ZKDieWAEqE2RqwzROnIwu\nkjbqmK4AZfVAOqGDL0SkVYdvi6K4ZimTVrsrZ7N52EYlg0mUUxBcA2UrWb8voj6MMUxNTeFTn/oU\nrrnmGnzrW9/C4uIiDh8+jN///d/H5ORkYPuolfnCwkLT23z5y1/GN7/5zcTdh7uJKDT3F2Zqagpz\nc3Pe47m5OUxPT9fdZn5+HlNTUwAqi+5PfvKT+MM//EP87u/+bsf7MbxnqM9wa4jrui1lfPjppWWC\nWx1UVcXY2FiiglRVVYXrusjn810dV9lmXiZG1VGN+A5xddKTIhJvROaG6lyISK2/HP925Hj1xiNO\noVBAubSCiU0VU27YzhQ1MbDQVtw1Y+tFTGyuNDSc2HwFjNJaLIkkClCt/sdZ9YpBiRlph6hzxLNp\nBEHAjh07sHfv3qoYknZX767r4qmnnsKmTZuwe/fuoblGoqhlGQn/hbnllltw4sQJzM7OwjAMPPHE\nE5iZmQlsMzMzg8ceewwAcOTIEUxOTmLz5s1wXRf33nsvrrvuOnzpS1/qyn4kY1kcM52IAD6Z8iqX\n7YiQXsPLpqdSqbqFwvrtpuFBbtwKwkuZdwvVBGTP5RIqRx7hZxVXj4scIUYkMeRKWC0EdtEYzsmj\nE1547RRc28DYhooYcd3g0Y+6MYZPhywCOgDX1JGbvKyyjSQBvmBYUWTQbAZVVSMbBRLJInzfaSaA\ntZPV+w9+8AM8+eSTOHjwIDRNw/LyMj772c96k+uwILYpYCVJwv79+3HHHXfAtm3ce++92LlzJx5+\n+GEAwL59+3DnnXfi4MGD2L59O3K5HB599FEAwHPPPYd//Md/xI033ojdu3cDAL7+9a/jd37nd9re\nDxIjq7QzCfsn0270bOm2GPCXTc/n812f7NslXMBMkiSYptn179FsQGbcTRP6wdY5zIoiwbWCq9RK\nrr7vTaIExzJQMGjSC3O6aED2BzJWdeytvnmGn6nUhqmOJfH3pxEFBt0VkMlkGhZpS2qzuFFG1/WG\nYsS/er/iiivwxBNP4PHHHw9sMzMzg/3792Pv3r3e6n3Lli342te+hq997WsAgJ/85Cf4m7/5m6ET\nIkBnRc/27NmDPXv2BJ7bt29f4PH+/fur3vfBD36w64VCR1qMtFv51HEcL12NZ8okjVbLpgP9sYxE\nNd3rVfVb0xagpLmbpvF+8XLkk1umMX/iPKTsWkaNwIJFt8RUFubZC1geJzES5oJqB3zUDkJpuZHX\nYvD8KCKDa7qRlXI5oijCdJlnCalVA8VfByOqzD3Re6JcUOVyuWEF1k5W72GG9VzLQ9KcZqTFCKeV\nSZinw7YyyfdiHLXgbiPTNJHL5RJlDalVwKxXIki3bYynU6uPQuepzuo8Mz4JZs/Bn94ripVcfZ5A\nI+cmwPQ5FJ1c+GNGnotlyytUBgBuOII1oox7WNKt27wZ86cuQQ694LeUMEmCrlXnVzdTqEvX9UCR\ntiQIlGGOGYmi2Qqs7a7e/dx+++24/fbbWx/kADAslwyJER/1bgZ+l0eSJnk/frfR+Ph4YvzmcTXd\nUwsXsW7X9dEvNtA+Egs215NFBoG5sFavESYIkEUMXbO2brCsO8jlfSLNDeVAR5g7WKj/TG7yMsA6\nC0EKpQX7zoqcyWH54jtNjamWQPH34bEsC47jRMafjJJI6AVUgbV3CEPSo4nECBqb73gAqKIoXbeG\nhMfRjsuiW0G03bZQRBVW69dN3TAMuI4DSeErr+D3uhETYmCiE10YvtdEUcDkhs1YWFqGkq9YTCSp\nEkBZLpcpeNLHiu5icssV3uPwOWcRN8+oq0KAU6VbAkeWCXCZ0HaPE3+RNr64CAsU0zRJoPQIEiPd\nYVguw5EWI1FN6vzPJTUA1E+3g2i7heM4KJVKcBwHY2NjTdUN6aaZ+uVX34DoO19u1cdGfI9v5pMZ\nPDHi2CayE1lkJ9bDPvcmuPtGFgVobqWoE49NoOBJoGjayKbXBDELN8WLyqaJMFWJggspdD0HxAlj\nEJU0fvnGKdx8Yw0LWIvUEyi8kqhhGHBdN/Icd3KeR81NA0SneROtUS+uapAYaTFSj35ZQ/y0YpkI\nZ6R0I4i2XctMGH8qcT6fj6UM/vxiCVKgYEgTAby+/8s+94CtFbHu8qsrD3znRxAEmDYCQqtRA7kk\nxCb0GlU3kM+trXjbtbVJq64xPwJbC0V2wSCIIs4uq21+Q3P4BQrHf479AsVvOemGQBkWuHgLP0fH\npnPaTe1NGiRGVuFCYBCsIVEZKUnAHzwb97FbLBuhsuPhH2yEq8AnNGRZ8GZR5tieu8dfnEtMZ+Cs\n2Hjp5Zdx4w03VF6n2AQYpg0p7TO/V+1TlJumWrJIwlrxM44orDVVdlE53pfK/a/Lzxirsvb5BYpl\nWVUChdx4RC8YglsGABIjAQzDgKZpDYuD9YpGlpF6GSlxE3YXxT2uxbLtdap0HKcZw0jgR53NZ+Fc\nMiBISsAM6hcsoiRDkh0898IrnhiJ/tzmTf9R1pO4j2UrnDl7FpYDpHJj3nNuRIfkMFGmZllc60vj\nbec7/o7L4LoOlo3epIa3SpRACcefjKobL6pCKtEdyE0zRPAbBm/QlpR+LX76YQ1pJ4C1W+6iqJid\ndjEMAxdXNEirxS4sTYUgBsdVVQQNQb0yecV7YL/7GoSxDRAFXzppoPCZCEliWNJbH3Mj0z8PnAQw\nUBPXCydmIcuy13/Gsgy44V40TY5flhjCJRQURYFmWxBECWI6C0crYllPhhiJolYNFL9A4TVQXNeF\nZVmeKE3yeW6HqkDmARPaSWVYjmDyZt0+o+s6VFUFYwzZbDZWIRIlBpJsDbFtG8ViMTHuIr+bqOww\npDOVgkrl5SWIqbVsC8cyEFnrggXjQXjFVf/h9gdaui6DKAoodKlZW3hlXW/iSmr8ybmSg7RxyXtc\nungeUjrYzbOq7AiiA1gVkVW5byY3T+HCwnmkx9dDTGUBx8aKXl1rJKn43XhhgcJ7NI1inBHRPp1U\nYE0SIy1GbNuGpmkYGxvzBEmS4JM9Y6wv9TmatYy4rgtd173eEqlUKvZjZ1kWisWiV2NlWTUwsbHS\nG0VXSxCy42vblksQ5cYWHHE1bMRvBhV9k6PtupBEhmKPOsfWm7jCxbuSEn+yWLaR8SVFl1eWIYxN\n13kH4FgmZCVV9fzkxk3QlhYDzynpDFyr0jqAMYb0xHosl7vfSqCf8PPMGIOiKBAEIRBnFHWeB02g\nhK2e5KbpHkNSgHW0xQifuPiNIO4fCB9DEid7TlwFzGoRthylUpVJ7eLiJay7+loAgOM6YD6rjaWu\nQNl4eeBzHNuCKAcnREkETMDr/AtUYhb4VSLIKTjqJahS/yxC9QJko1JP/RNbP8zipy8tI+WrBe+4\nTuA7o1xmllZCfsumqs9yHBupiHLh/j2QUmkUSuXOB54warnxhiUQ2jTNRLrDB5Gkn+tmGfmrodcl\nyVvFdV2srKwASMZkz+l1AbN2jr/jOCgWiwCqj5Wm65DT2dWxB9/nWjqYGMz0cQwN6fUTgedkYVWM\n+J4Tmetlc8i5CRQXTqKcX9fSuLtNvfgT265kmpTL5b5kdpw7865nkQIA2wpmuhjLF5G9bHPwTbYJ\nJRt05QCAa1vIhOvBV17x/icIAswE/G67QaOYqThroHRK+LfdTMdeojkogHUISJKi9PuKU6lUX6uV\ncmoJAp7ubNt2YgJ8eS2TWsLIZpL3XNUuRdyYHVNDOrcx8Jy8upt+w0cmN4YlXYOYSoMJApRMHiur\nlqIkweNPBEHwWhg0yuzohtnfKKtIZ3PgjhN/KjRQOc6CFLSMsBpiQoYDRap2p/njSAQmwE7Oz7jv\n1LOgJE2g+L+Lqq92jwRNYx0R/6ySEOK0jHDXB18ZJelHapomisUiFEXxXFpx4rouSqUSLMuqK4z8\nGRzhXIuofRAACKHPkkUGOEE3zeTl0zj35iwyqwGxSiYLtbDc3s70mUbdbbsRf+LYdlD8hX5SglA9\nAdb6ZEWRITK36vz5g10ZA+xwhdcRp1GmVr0aKP0SKO2W8CeqGZaqNSMvRvwppf0WI2HXh6IoWF6O\nb2LzH4N+FzBr5vjzINVGHZMdxwEEX1ZK+Lsi7ZrV350bz+HcBQP+EAdBEABflVrGAGdAk+uaKdDm\n783SzKqaMTeQLRM+1iyi5kgtT5HIAMlXlt/b3n+umAhXlGEYRleqEMdFr+899Wqg1Esl75YrL+yC\nIjdN94h7gdgtRl6MxEVU75ZulGLvBuHMlCSk7P7/7L1pcFz3eeb7O0vvDTTQjcYOEtwJkJRIbZQs\nyZIoUzJlXdqRp2wlmRlNxuNSucpxpVIVJ1M1n+aWZ+RZ7lSmNKlSpjKJUpnytW9SiTSRRvd6kSXL\n1r5QJMEF+7430Oi9z3Y/dJ+D06cbJHaAIJ4qltQH55w+W5//83/f531eU6S6HC+T0bHxUuW+YwCs\n3JStHDUNbegj15Cd70zbwCGIEoIsMz09TTQa5VbHWgzaDMNAdnvQbK3wzLJDQ9dxJ8fxGkmU1CwE\nIovfaVR+7iWhcsmvYO8CLAi4grV0Xe/l5PGO9bkIW4jNHFicRKNSKflGmbTlcrndyMg6YbeaZodh\nsyIj9miIs3fLVotozRdRIpEoqUzZStird5brZXJlYBSfuDhgGVrpYCdWcgSt1DdPFBFFo6z3g/2j\nIAhIHh8fdXVz7pFbn4xUQqWwv3NWrWkab//q19S3HkBFsES/5vPsTozzW4/fR9/VLtw+P++Pp8Ht\nt/Zf+XtBEsqt3t02ETEIiLKLsfkkJ9fpfG9XLKeUfDVeN5Xeael0ejcysk7YKQLWnZJuWjM2gwiY\n1R+ZTIaqqir8fn/FH/BWEBJN0yzTpVAotCVExHneuVyOhYUFXC4XVVVVy47QzKZV3IJ9uColI5XS\nNJV6owBIaLgcpbt2S3IEEW9ViKv9I8s6tp0Cc8Byu934fD4CgQBD8QzB6kBJmsZAQEsv8NCxvcUB\nC/bs20+jlFzc1xIvU0nAMp6zQ7YtM4rPRCx96xif3UowyYnL5cLj8Vj32ufzIUmSZUOQSqVIpVJk\ns1ny+TyappX9np0C1t3IyPrA7lNzo3+V8MYbb3D06FEOHTrED3/4w4rrfO973+PQoUPceeedfPrp\npyvadiW47cnIZoVF8/k88XgcSZIIhUIVhZdbkfszUyDmoO/UEGwW7OfuJG0+n29F1yaWVpCERQLi\nkm5+PpXSAQDkU1SH6x3r2qIugoDL7SKW2xnlpauFIAikDReyYKDbiqFFyUWNsUBDc8HXxSQeR/c2\nYuQKhGQpIigKUFMbJp8p7cprFxQb2RR6JsFsKreep7PpuJU62DoJit/vJxAI4PV6kSTJEkOnUinS\n6TS5XOHe2AnKcqtpVjtYZrNZTp8+zcmTJ+ns7ORf/+t/vU5nv/0gCsv754SmaXz3u9/ljTfeoKur\nix/96EdcuXKlZJ3XX3+dnp4euru7+fM//3O+853vLHvbFZ/HmrbeQdioyIg5sKbTaYLB4JLRkK2A\neWy5XI7q6uptMVNRFIWFhQUEQViStN0MXdeuU1Mbtj47S0dXcv0lNYO/JlyyzL61gYDL7WYudWu7\ngK4HpuYXiDa1oJc4bWoca6uzPptEN9rYTJgbl0RLAoQbmtGyiZLlsuzG0DW0fJajURfB3AwTs/F1\nPJNdrBRm2sblcuH1ei2CYjdszOVy/OM//iNf/OIX+du//VsuX77MpUuXLC8cJ9YyWHq9Xt58800+\n++wzPv/8c958803eeeedjb0IWwRhmf+c+OCDDzh48CDt7e24XC6effZZXnnllZJ1Xn31VZ577jkA\nTp8+zfz8PBMTE8vadqXY1YzYsN5kxPTCcLvdy+5ka6/u2UiYPXnsPh1bKaA1w72Koqyp4R5Acj5G\ndcN+WxXGzcnIUpERl0xZpMieOtARCFTVMNc/59z0tkMmm8fj9YHNUE7KzNN+8GHrs72PRjQgMaeC\neCMBqyiWpGUAqhpamR6Zwi2odNx/gthbvyItbD2R3kUpTIIiCAKqquL3+zlz5gy1tbW88sorfPLJ\nJzzzzDOMj49z8uRJXnrpJTo7O63t7QMeYA14HR2LQuVKg+Xk5CQNDQ34i+69ZtooHC6dVOwUSEvk\nOd9++21+9fbbS243OjpKW1ub9bm1tZX333//puuMjo4yNjZ2021Xil0yUsR6Dv5rLYvdSM2IaWB2\nM5+OzYQpjoPli1RvBAMd3aYTEWXn9a+kGamM2vqmsmWSgJWoEd1+MvEYirEbZDREkdnJMdyBxT5A\ndaFSO3f77+zwoQNc/aB3SdMmM31T1rnX60PUFUI+Aa8/QFV1NdOjQ+tzErtYd9jfZ4FAgIceeohr\n165x//338y/+xb9gfn6eTz75hObm5pLtVjtYjoyM0NDQgKZp3H333fT29vKd73ynhOjsJCxlGvjI\nww/zyMOLE4Ef/OAHpdstc8zbLA3j7hu0iPVK0yiKQjxeCBmHQqEVE5GNjIjcLAWy2dU8ZjTEPCav\n17s+ehVRKhFRSkUyYug6YmICI5dYYsNyuDxudK1UHOmSJAy9QEdkX4D8wixapQqd2wyGKJNNLzYh\nVLMpWpoaS9axP96+QBXV5JYWDxcjJpVKF0VDpdZbuOaSSwJDrSiavFVwK2lGVgPnuZm9pABqamo4\nc+YMNTU1N9xmKSwllJUkic8++4yRkRHefvttfvnLX67y6Lc5DH15/xxoaWlheHjY+jw8PExra+sN\n1xkZGaG1tXVZ264Ut/0bdL1eAKYzaCqVsvKlq9n3RhAC89iSySSBQGDVx7aeMPUqZtfk9fAuMOHx\nOyo6ikTBlxzlq2fu5tTBRsSFccdWla+57HKRnCvtHBtp3UsuMQ+YYj4JwVPe0O12ghnZUm35fzEV\noypUOsBIUikBrvUJFaNSmqrgKWqYKlbU6AqNdaHiPl1Q7MBtF02aRl63KkHZyVhONc1qB8uWlpaS\ndUKhEF/5ylf46KOP1uHItx8EQ1/WPyfuueceuru7GRgYIJ/P8+Mf/5jz58+XrHP+/Hn++q//GoD3\n3nuPmpoaGhoalrXtSnHbkxETayEBZjTEMAyqq6u3lROkqqrWsS03UrPRL28zQiNJEtXV1SWeBusB\nty+IZtO/GICRmOULdx1GFEV8/gB37Y+gZxfLS9Eri+hEQUBTS8WpstuLYYuWiKKIO7QzPUaWi6vd\nvfiqakqs4IOSXmavKjl+Gy31YfR8tmx/SipBXTFsL1cgikZyltb2/YV9SiKSiEW03W63pVPIZDKk\nUikymQy5XM7qdLuLzUOlqI89MrIU1jJYzszMMD9fmDBkMhl++tOfcurUqXU8q22EVUZGZFnmxRdf\n5Mknn6Szs5NvfvObdHR08NJLL/HSSy8B8NRTT7F//34OHjzI888/z5/92Z/dcNu1YOsFA9sEqyEj\nhmFYL7m1ii7XchxLHZvpWur3+60X9M2+eyNhv15OLc26anZECXRbRYduEBZT1EYKVR0GsG//Aa4P\n/JoFgsXvrzxAiRgVf8j2ZYIo4KoK7xgX1tXg2tA4Pr8PrWgwZxgGQbdQ1sXLeZ/b9h/kymhp5AkA\nNY+n2HW5UmTEZTNDk2QJuZgaupHt+UY2CNzFyrCc0l77gKdpGt/61reswRLg+eef56mnnuL111/n\n4MGDBAIB/vIv/xKA8fFxnnvuOeve/7N/9s94/PHHN/y8tgRrGC/OnTvHuXPnSpY9//zzJZ9ffPHF\nZW+7FuySkVXCtEw3fUO22jLdDrtraXV1dYlz5lZB0zSSySSiKG7o9eobGMTtD5AVFl1A86kEJ48t\nhnfNQWdPXYDPUyqiJCMtIWEVBAHBKDfUKtE5CCIufxWXeod57DYlIwMTM7j8EdJq4booCzO07msl\n73jFON1vDcNArnh9F8leJc1Ira0yQhRlwg0NVhWFE5vRIHCt2MmakUqTq0wmsywrgdUOlidOnOCT\nTz5Z4ZHemhD0nWH4t31G0C3CSq3YzUqZRCKBz+cjGAyu68C6lsiI3cDM7XZbWozN+v6bHZNpf7+R\nxO3jrm58fj+GjVyImRjNe/cvfi7e88PH78CXnysuW8qB1SAglqdw7C6sQnHQujI8Tj6fR1XV206n\nMBWbp7GtHb0o1vGiEo/N4A0Eb7idms+XWPebEG1kxCUJ6A4vCrfNyE6WRfYe7ODtD5Y3+Cxl2uXx\neJAkCU3Tyky7dvUna4OTaOVyuV07+PXCKtM02w27kZEilts1NpVKbfjsfjWwN97bLtGQlRzTepGg\nvrEpfKFmjMzi4BWQHXbwxRejKIrU+URGWbq0V0LB7/XgtDQrjZYUtp5dyGAYxqr6d9zqyKsa/mAV\nWvEW+gQVXRcRnffcERlJJeLsqQ8zphUiVCYkW+Spae9+hq8O469djDoJ2qKLjChKhGpq6L707qqP\nfy0NArfTe+BWwW7X3nXELUA0loNdMrIMrEZ/sVqsZlA2zdWcjfc26/s3+phWgomZGIePPUDP/AAA\nuqqwZ29byTr2Ywn7JUaSGuISdMQvi8giZWTEI2jW3N0o7m8+q1o9fcyBzBzMTOFkpe6nO4KgnnYW\n1gAAIABJREFUFImEaggIhkGVWyjrAZROJnA5eh7pqkLniTvo+80F/NHFVJrdhM7t9SLaQtGGriPZ\nyIjscqOqCsnc+rrgLrdB4Hp0td3JEZfVClh3sUzskpGdBfPH4vzhmFoHQRC2TcTBhN3AbDXmahuB\ntRq+rRUqAplEHMlbmHXpyVnC9aU6Avv9PdR5jCtvf14mtDThlkUkwSh7LiSwyIhuFJan84vRmJvN\ntFVVJZ8vDKjr3Z59K2CIhd+F6HKRW5jl8J2djAz0lqwzPzVOfVu7Y8vCQB50SyXtDJ1pM9kmHMkm\n5tjbtGhG53bJZNMZDGHjf5vOSIhTf5LP59F1fVVRsVvxvq8Wu43y1hE7pDrsticjN2p7bUZDfD5f\nSY+FjT6e5cySFEUhlUrhcrmWbTW/0TDTWGbJ7krC1+sVkdEQSczPIXsjAPglA9HRKM9+rURRpMYr\nkMssoRkRReqb25gdW8BTFbKWu91uK1piCCK6qqKIN66mutFM26z0uFXTO4KZYhFkPIaKu8JAo+QV\nq+rFhFGc1QVcInYrOmcFjb1xsmQo1ITrUHJZXB4vsiigqBr6JpARJ8zIlpOgLBUV2yqB7FZjNzKy\ncdgpAtbbnozYYQ6IptYBtk81iomNKCe2Y7Ulzrlcjkwms+FprJtCkFBVDdFTuGdB2cCpCHGmZEIe\ngZls5eMVBYOqmlqMoWlgkYwY6Bi6jiCKyIEQyelR/DchIxX3X6HS45ZM7xSJgGaY1xwEsfR3U5mc\nFgWvolZCRgS99BmUMCwLfpcADa17GB4bI9zQjC/gZ2JkBGOb/E5Xoz8xIyw7saqm0jnpur6t3qu3\nNHZIim+XjDiQzWYtpfdmRUPsuBEZ2I4CWtNJFbaeuBmGgSGIaMXZtq6p+AQF2aFTEB21otGaANPz\nSSrBXLU0iQDVDW3MT87jrq5FcrnJKzl07/r4zFQayMw0wHZM76RSKWR34Vh1wyBoZuacNt2VGnoV\nV6mtCjCRzltW8pLjHkniYj8gl1jwoNCUQmzKH6wmNT8PbN/BrVJUzHlfzRTndrmvG4mdSLq2DLua\nkZ0Fs6+FoihbPqg6sV0FtKZI1d75d6tg+r7oCBjFinU1EaO2JYroLy0vFR2DYmNrGwPT5f1qCpbk\nhVCy7Dg1jz+IzDQAejqORwJddKNp2ro/O04jL3MGbc60nTqFza7yeOeDjwlFCpUuuWyGutZ688Cd\nJ1K2remG2tq+n8sfdiHVFPQ9Tt4i2Z5Js4uv6YIrCAKiLJa5vW53OO+rruu43e4dkbazwzCMbTFx\n2qmoZPV+K+K2f0Kczdr8fv+WEhEnGdA0jUQiYZGkrYjWOGH2ukmn0wSDQXw+35qPabWaEZOoJRKJ\nwrWRJLSitbtP0smlkrjci5ERNZ9HcqQPsukUHqO8EkNJJwk3FBq9iRUsyeXiiNkip9nfEkUQ4K1f\n/XrF57BSmBoFWZZLfDK8Xm+ZT0Y2m7VI9kb5ZHz4yee07jtUmOGnFmhp21c4Tsd1rtj+Rytcd1EU\n8dpWd76Y7BoSt7mebhcMi3j8ASYmJ1d5FlsP5331+XwEAgF8Ph+SJFnvKvO3l81mrYqeW6ka51Y6\n1lsCuz4jOwNascFWVVUV6XR6qw/HgmEY5PN50un0tog8mDAjELIsb7lw1uljMjI2hjcQRC26gPpF\nA0MoFc+lFubxOoRzai5HlVcm49i/oCn4g1VAITLipCuyYJCOT3Py3iMMT83hn0twdXiWM+t9osvA\nUukdVVWtniwblt7x+JDdbuamJwn4bd4Rjv06hcRACaHwipAq/r8zTSOLi3oKqz7LNqiJooSvOkT3\nwCiNFVxYb1XcSCDr1J9sV11RJfKxXY5tR2BXwLoz4HK5qK6u3jY/DEEQrHJiXdepqqoq67Wx0d9f\n6eXhTBV5HDqMzYaiKCSTyRIfk77RSXz+ILni+OZ3iWVN0ZLxOUK1EcfeDGoCHtLO8l3bIyEJWhkZ\nkQSDKiGPP1iNND2PR9BJqNsn2GgSFEEQ8Pl8K0rvrOT34CqSu/npKcIhW0rMuY9Kg5ItXOKTDVJg\nCTvtCEfrmZxM4AlW45aKaRrbbE9yyYRqw1wf6Ofh03ct+9i3C1aioViO/mS7GbRtl/frTsROSdPc\n9mQEVm4Jv5EwXyRer3dTzcJuhM3odSMIwrK6qd6o2d7w+Cw14TATU7OouQz14SoSC/GS7TVFRXKQ\nO8OAQ4eP0vtJD/5wvbXc/t6ulKYRgOpibkGWBHw+L7MzM8s53S2BfZa9VPWOmc5ZySzbU10gd6qu\nEfDItu8rXa/ib8u2zCsV1lGyaWrCdSWr1dTVYwxfIZ8WiTYX75G9PRAGdU0tXPjk7eVejh2F3QaB\ntzF2iM/I9pnGbRNsFRkxdRiKoiDLMn6/f0teEk5CZuppXC7XqnrdrCc0TWNhYQFN0wiFQmWGatd6\nu4k0tRRErNkETXvayyo4Kl9So+DyqZW2srefqd/nQ1XyJX8XDYNgUcAgCQL+6hoW4hU60G5jmLNs\nl8uF1+u19CemSFpVVTKZDOl0mkwmU7H3juAppGaS83M0N9bb917yXZWKaez3Y/+BQ+QTc+i5FDXR\nCg3vdA09lyJS31jcuy1NA4iSRHmXm9sXS+lPZFneVP2JM+qjquq2KhC45WEYy/u3zXHbR0bsP5Kt\nmiGYBmayLOPz+VDVrc8BmuRIVdVNTxVVQi6XI51O37DkOptTC54NGHjFoteFYx2hkorSML0uHN4W\nto2b2vczdLEHObw4SCqZJE37DwAgSyKabmBot/5wuNLqHcTCui5RIFwkClCuVxUr3DOXzQTN7fXi\nQUFxaCRMSOilzqy23cmuYqRnd361JJZj0LaayNhKsdyOvbtYJnbTNDsPm52mqWRgZuZ6txKaphGP\nxzfd3XUprcpySZFWrN7QNAPvEi70lc7F1B4EXZAsWdcukBStklITbpdMfUuh740sFgy/JHnrLfnX\nGzdL7wiugn4oHIk4tnMQA+dnKHuRekTQlni3SugYJRRn8f/NKJm2jb1GboStKn/digaBpqv1LtYH\nu5qRHQQ7CdksIrAdDcxMEVw+nycYDK67u+uNUIkkmJU7yyZFxWuoCwK+oguo824alfKrxZVCPjeJ\noqsqlEZGCp9L9+b3+axZZLCqGuZyePx+VFXd8kjSRsMcxKanpxHMkLvhiAo5yEcl0zPD4bTqlSCn\nV/4NSoJRklj2+fwo+RwutwfZXZhpS5v4zO5ULKdtwUoaBDrTNJlMZssF8DsKO6SaZutHwG2EzYgA\nOH0xgsFgCRHZKhGt6Wei6zper3dTiYgTZsQokUhYue7l3BupOCBpmk7AdCkTbq4ZMSMjhzqOkZ2f\nWlzXQWWcxmdBn5vEfEEj4gsEEQ2dQHUNH372+U2Pdafg1x9+gigVZtSS7XLls1kk2WEH7yAnhmGg\nOwiMVzTKSKAJSQCXLZXW2LaP9MI8AG6vj2w2Xdb7Zhfrg5vpT0wDRNPbJp/PL6k/WW5fmjfeeIOj\nR49y6NAhfvjDH1Zc53vf+x6HDh3izjvv5NNPPwVgeHiYxx57jGPHjnH8+HH+63/9r2s7+e0OXVve\nv22OXTJiw0YTAXPAz+fzVFdXbwvvELvpm9vt3tq+Mizay9tN3pYLsZguSM5OcuDQkcrrOI24WJQe\nyLKMS7e1pndGRhzkxOeS0GyiVlkSqIk28snnl5Z9zLc6hiem8AYCpJNxfDaPkdj0BL5gqHRlx3Ol\n5HJ4g9UlywJe15KNvyQJXLZ9yLKMUdRXVdVGmB4eRLpFtQi3mj26GRVxuVwVjfd0XbcEsiZZSSQS\nXLp0yXJtvhE0TeO73/0ub7zxBl1dXfzoRz/iypUrJeu8/vrr9PT00N3dzZ//+Z/zne98Byik7P7L\nf/kvXL58mffee4//9t/+W9m2OwmGri/r30oQi8U4e/Yshw8f5oknnmB+fr7ieksRxj/6oz+io6OD\nO++8k2eeeYZ4PF5xezt2ycgmwD7g36wqZTMjI6ZpmGn6tpXkyPRXicfjSJK0qsod2VsYDEVdRTYj\nO45LKcuV9mnzurDNvJ1XwtnW3i2Vpn1kUcBXFWJsavuW9643Enkdrz9Iei6Gx7c4200nk7gcRFJw\npCKzqQXqoo0ly9oPHiYTm6ISXKKA7BAZm+JjSZbRNBV/dS3aDhAR34pYqjILCpGVwcFBfvd3f5en\nn36aN954g+9///v87d/+LUNDQ2XvvA8++ICDBw/S3t6Oy+Xi2Wef5ZVXXilZ59VXX+W5554D4PTp\n08zPzzM5OUljYyMnT54EIBgM0tHRwdjY2CZcgS3CBkRGXnjhBc6ePcv169d5/PHHeeGFF8rWuRFh\nfOKJJ7h8+TIXLlzg8OHD/Pt//+9v+p27ZISN9RkxZ/rmgL8e1unrAUVRLAv86urqLdU4mGRN0zSC\nweCqy5o9gYJbqtvWb945H3B27HUi5F+csTkPoUzAKpaSESOfQUdANbb+/m4WJF8hhablszfsDVPQ\n1jiIoKbhdsyQRVHEI1Z+cVaFwmgZRw8hu/GZKBIK1/HpZxdWdhK72HC4XC6OHz/OhQsX+O///b9z\n//33U1VVxV//9V9z77338vd///cl64+OjtLW1mZ9bm1tZXR09KbrjIyMlKwzMDDAp59+yunTpzfg\nrLYJNoCM2Inec889xz/8wz+UrXMjwnj27FlLfnD69Omy+1IJO1tlt0KsNxkx86h2l9DNPgYnKlXw\nbOb3O2G6zUIxTeJaXTWKqqoEa8MA+LyLM3JBKn3EK94Cu/GWbfVK/VHMcHo+tUDz3mZmYnPW3z0S\nhfJe4fb5Wcne4swXveT5Fh1RrcTcLO5AacPCys1qIFpfX3F5pLEJZWG6dA/2Z1XXEGUXfWMj3HP3\nMk9gF5uCkmdDFOns7OTf/Jt/AyxW7yy1/o3gfFfZt0smk/yTf/JP+NM//VOCQeezt3NgKOV9tQDe\n+uhz3vp4dfq1yclJGoptFRoaGpis0POpEhl8//33y9b7H//jf/Dbv/3bN/3O2+etuYkwW4ErilLm\nErqVMAf+7VLBY/cOEUWRbDZ7842WwMefXcBTHBh9rsWB0LUcQaPthdbU3Exffwx3IFSWlmne285U\n3xS+UAQjn6EmcoDpmVnr7x5JRNF1jIqpoJ0JoSgarvH7MGxRJ+cgkYjN0Hygso7HCWmJ/HZiboZI\nncMMzSaA1TSNYHUNQ12T5PP59eu9swm41TQja0Eulysp7bX8amxoaWlheHjY+jw8PExra+sN1xkZ\nGaGlpQUoRH6//vWv80//6T/la1/72kacxvbBElGPR+46xiN3HbM+/58v/c+Sv589e5aJiYmy7X7w\ngx+UfF7KY2Y5z+sPfvAD3G43v/M7v3PTdXfJiA3rERWwN5Krrq5e8YC/EZEJMw2SyWRuaBpmfv9y\nbNnXejxO7xBlCXa/XFzpGcB36H5URaG5ZZGtL6eaxj5DD4UjuHrGC+s66ve9/iCiXggVu8Ty/blk\nmYxuIEjbg3xuNDKZDKLLSz6bpTboJ67ZqsIcg4sgUPZbWOqXoeWdLQsLUJU8hqPZnr00WBAEPD4f\nOVW3RJNm6bXTH+N2Gfi3GpVI1nJ8Ru655x66u7sZGBigubmZH//4x/zoRz8qWef8+fO8+OKLPPvs\ns7z33nvU1NTQ0NCAYRh861vforOzkz/4gz9Y93PabjBWWSnz05/+dMm/NTQ0MDExQWNjI+Pj49RX\niFbejDD+1V/9Fa+//jo///nPl3U8u5oRG9ZCBMxoSCKRwO/3l5XsbhVMzUoul9sWFTyqqhKPxxEE\ngVAotG5albHpOURRZHZ8mIi9a2tZg5QKGzvuueXeKpSvbJadyqYaRVus/JBkCVU3CNaE6evvX/E5\n3Gq4dO06sttDYnaK9v37SxxWBYc2p9ITV9ENFxBUBb2CCFXQVDS11JK/REBcjEDKXn9JhYfH40GS\nJKtDt2mBbnYz1nV9y40GbyeYk6IbQZZlXnzxRZ588kk6Ozv55je/SUdHBy+99BIvvfQSAE899RT7\n9+/n4MGDPP/88/zZn/0ZAL/+9a/5m7/5G958801OnTrFqVOneOONNzb8vLYMur68fyvA+fPnefnl\nlwF4+eWXK0aX7IQxn8/z4x//mPPnzwOFKpv/+B//I6+88sqy3XZ3IyOs3V9kPdMf6xkZqdTZdqtg\n7/pbSauyVuSK1yybiOPbt3/J9ZwVHcWDK/nolQyyuo4klf88TBGrpZG1RU9kt5fk2DAH9x3irXc/\nYP++fSs8i1sLfcPjIEdw6TlmJifxBasW/+jwFJEqXPelZnQtzS0kYjOEHP1pgl4PerpUwKrZyKDL\nXdQKyYvP1lIOo2aHW9P+HFiWgdcuVoalfEYqzbSdOHfuHOfOnStZ9vzzz5d8fvHFF8u2e+ihhzY8\nurudsNrIyI3wJ3/yJ3zjG9/gL/7iL2hvb+cnP/kJAGNjY3z729/mtddeKyGMmqbxrW99i46ODgB+\n//d/n3w+z9mzZwF44IEHLLK4FHbJiA0rJQIrSX+sFGvJId+os+3NsJEVRbB019+1fq+pXdBy2dKu\nvI5r6Cw3LaA8MqJkU9Q01pWtKWGgAa4iKQkEq8hm0nh9foI1teTiF5DaW0nkCt2Xd3Jn1LlkGikS\nxSXoxGZnCLQdWvyj43wrkZGK/YUyaWojYRbm0hXWN/C4S19ZsiCgaxqiJFliZclz41n3Ur13TIKy\nFemdnawZWU2aZhcrwAaQkXA4zM9+9rOy5c3Nzbz22mvW50qEEaC7u3vF37lLRlYJc4A1DGPJAXY1\nWOsLabvZzNsrijayrFkskhHjJtbIlUzPnJERn0tCS6WoDreVrSqiowFmf9iG1j30Dw7h9flxe7wI\naEiSZOkWcrlc2cC23o3HtgqKISMKAjIG3OR8blbFZCKdWGBveytDsWtlfxNLJLIFNO3dz/R8jOpI\nFEQRXdeRXSszPltOAzmzP4v9Hq6lP8vtjOWkaXaxfCxVTXOrYZeM2LDc2blZBeL1ejdMg7HSmZI9\nSuP3+1ftpLpekREzOmP2udnoiiLBHIA0xw+z7BqUXxNnN9n2w0f5/P/7JaLYWbauJBgogLu4jSiK\nJZ16gz4/Lo+X6dlZyz32Ro3HbuW0wOzMJI3N+/AaKoJDWFoWGalE1is8Z7qmIcsygkMbAiAaRpnO\nxOv3o00VTNL81bXMTY4h+3xMT08TjUZXeEb2w795emcl/VluV6xWwLqLFeAWsHpfDnbJCMs3PdN1\nnXQ6vawOsutxPMuF6aSq6/q6RmlWC7uGZrkVRWslQaLbU8gTlwkfHdey8hS95JMsy3iMJSzJi14j\n7hKv+MXtq6qDpDNp8prB8MgIc7EY0WgUj8dDOBy21nPOum/Fqo9MOk0mleTeu07Q39tT+seyKqYK\nmpEb3G+3UJ7zFzGoq28inogTqFq0mjeKYmJvIMj0UB/+YBW9w6NrIiOVsB3TO7cistnsskWNu1gG\ndsnI7QVFUUilUsvvILtGLHdgXo2x2kbBLKc0vUPWU0NzI+i6jii7SMzNEqqpLVm+RC2vBU1Vywy6\nANxiZQFcXX0D4/0jtJ06sLjQsJORGjLJBRAkpqemuPe++xAEgUwmw8DgIPF4nPpoFMMwiEQiZdET\nZ1rAPuPeTrPuTCaD1+fH7/EUxMhOwul8fCsQUr3CS9Rc5nO70B2zasEwaGhqYup6XwkZsd8qlyyD\nKJHfBBfcG6V3KkXBnATFjp2sGXHC6TOyi7VhpX1ntit2yYgNlWbndgOzQCCwKQZmy3kpbZSx2moj\nFJW8QzYLV653I8puNCWPx7/otJhOLOAqEzOWXttcJkW4rlzZ73N2ySuipq4e5cJlgtV3LS60XS/J\nJRNtaKH/4ie079tHf18f+XyeiYkJ0pkMX/7yl62BaGBggFgsZpETl8tFJBIpSwuYbduz2ayVPrAP\nbFsxiF24dIWG5lbkonam7JFxDLaV7V0qvESLO9q3/yCfDY5TXTQ503XdqmByNiy0d/71eDzIHi9z\nyTm2Avb0jombpXe2OpK5kahEsnY1I+uM3cjIzoX5A1qrgdlqcTNCsFXHdbPj2ayokRMz8QSiy4WS\nTRGwaRfmY9N4oi0l6zonzLlMmkCkdB1Y2pIcQHa0vTdsnwVRwuV207hnH9e6u3n4wQe5fOkSnceO\nEQ6HGRkZIZfLFf6bzXLy1CkaGwvN4qampvj84kXLuMnQdWpqaqx2687oiemRsRWiyq7uXgL1bQim\n38rN/FwqPBPlclQwil2QvX4/Rn7RkTcdj3F8T7FU2pFCs88MBUGgOhLl2lvvwSP3L/NsNhY3S+/k\ncjkA0ul02X3cidGSbDZrPdO7WDsMdVfAumNg14xAqSeG3+9fURv7jcRmHNdKIiPr6R2yFs1IKqdj\nGODR8vira6zlSj6PX16MGKn5PIZTu2DoFaM4oq6hKnnkCnbyHoeewbB5XZgpn9r6Rn7z4bukk0nq\nIhHGx8epqalhz549XL50iRMnTlBXV8fc3Bx9vb0MDg1h6DrRaJTGxkZkWS78ra+PumgUjMW+OPX1\n9csWVW5Ur6F4Mkm0xYuoFgiD/Yqo+Tyi85o6uUqRbDkh2KMc9oaHqoLf7C/iiKhoyqLYVSgO4oa4\nfV1wnekdM6ro8XhumKa7Fat3loqM7GpG1hG7kZGdi0QiYTmEbsWPv9IAshyvjs3EdjkewzDoHRxG\nqttD0O91zMBLX4LJ+BwBR7O2pQbqcDRKYnaG2sbmsr/5vaUERbR9jTnbFwSJ6mgTTzzxhHU/+/r6\nGOjvpy4aZXR0lGQySXt7O6Ojo9x5552Ew2E0TWN8fJzu7m5cLhdVVQUjsda2NmZnZxkbG0OUJMs1\nVNd1/D4ftbW11vnYCYqqFoiSOeu2k5S1zLoFUWZuZpJTJ+8EQFUXX4jTE6P4Q6XiUcNh9pzLpKkO\nR8r2K9mOSbJRHHtqxvmLtBMYq3Tbc+sNdk5SvJz0zq0YPcnlcruRkfXELhnZWTBLY6HQ7nojPTFW\nClOkupGlxKs5no32DrkZzPRQIp3G7/LgVvKloX/njCwxT23EMUguIf4SYDEF4UA4UjqIen1+ctkM\nHq8Pnz9IbGoCBHD5q+jq6kJVVfx+PwLw+Je+ZG03NTXFL3/5S6J1dYyNjjI8PMyRI0eIzc5y8uRJ\ni2AsLCzw1ltv4fN68QcCTE9P09HRQTweZ2pyklAoxOTkpEVOMpkM+/btw+VyWRVgHo/HSu3k84VI\nwlpKUiWXCyWbIVRTrBCybZtLJQnUt6Lkc6ixCbwSpGdnCYSjVqQpl0rS0FpO9NyuxVeSaIuAiDYy\nYjgrpmy5t0wqgXthDtl965ERJ5aT3rkVq3dUVd02zUN3Asp+D7codskIi6Woul5og75ZVSBLwZxJ\n20WqmyUKvVFYfyO9Q1aaHrJ7qsTm5gkIAg1NjUzOxZf+DsMoq5xZ8ods6EhLiNRVJVfyuXnPPvoH\nh/A0teKrqmZmbJBwfTO5hMixY8founwZKAz+169fL5C5ZJK6ujoeffRRaz/JZJL333+fxsZGxsbG\nGB4aIhAIkEyluOOOO0qiH++++65FBoeGhqiuriYQCDA1OcnRjg6mJifRiiH/qclJ9u/fTygUsra3\nV31UKkm9WfREcntQVfsFKgkPkc9kcC2M8eA9d6PrOpPjY1ztu47QdhRJlhEwKkYd7V9XSkZsuhCH\nICXc2EQqEcdQFJoDMonpYWSvj9HRMVpaygnPrYr1rN7ZLFRK09xOlUObgt1qmp0Dcwbi9XpZWFjY\nFk2zNE0jnU4jy/KWiEIrHc9KvUM2ApU8VRKJBKKmEIk2MHEDMlLpmMWlmrVBwVm0AgwHGRFFsURE\nJgBVtWGGLn/M3/3d3/HAAw/Q3Lw4KF6+dInmlhYMw6Cnu5u8ojAxMUEkEuGRRx6x1kulUnR1dREJ\nh5mcnGR0ZARV08hmMnR0dFjkBODixYvE43G8Xi9Xr14ln89TV1fHQjzOPffeSzKZZHJyEl3XmZmZ\nIRKJUF9fvypjtnfffZ89B4/Qe+3K4jWxOduKokBmtIeHHn0YgLnYLIFAkMcefoi3PvgYX/OBJZvk\n2ctyGhub6F+I468Olazv9XpR8jmrF024rp6BgX5cep62vXvw+f385B/+F0MTtbcEGVnL4Lza6p3t\nHj3ZxfJhVDAIvBWxS0YouENul1Ize6g9GAyue0O5m8EZodgq75BKsFftmJ4qhmEQCFbZ9AWLx2Y4\nBjyx0mFXKi8FBGOxKZ4TIb+fZHyeYGhRLKvbu/eKhUHb7fbyzDO/xfT0NH19feSyWXp6e2lra6Ol\npcUiR5cvXeL48eMA9PX1oSgKk5OTKPl8SVonkUjQ09Nj6UcmJiZQVZXh4WEeeOCBEnLS29vLwsIC\n/kCArq6uQopGUZBdLu48eRJBEArfUSRCjQ0NNzRms5cWX77ezemnv0EyPm+th42M5NIJzn7xIevz\n9MQ4hzsL59ext4Wu6RmEJQn/4vJItJ5r4134q0OItvX37DvA5Z4BwjY9j5rL0hD0UFsXpfvKJdRM\ngpxxa4k91wvbKb1jWujbP+9ifbHrM7JDsVHVB8uBpmnWrN/n8206EXHCVPlrmrZpaaKlwrqVqnYM\nw+Dzzy8SrKnFVdzErhnR1dIS0Iov2iV+yIahUeX3kaxQUVMd9LMQnyshIyW8p/g9Lr+fvv5+Duzf\nX3DozOV4+umnyefzDA8Pk81m6e/rIxyJ0ChJVrTiSlcXR48epbq6mqGhIfL5PGNjYySTyRLSkUql\n6Onp4eGHH2ZmZoapyUkUVaW3p4dTp05x4Ngx65D6+vrQNA2XLNPT3Y2iKMTjhSjS/Q88gCiKpNNp\nJooRmObmZgzDoK6urix6ktchMT9PuK6gv5kYG7WqmFQlT5Wol1RLGCxGpeobGunqeRd81WXXXFPV\nMmt+qSjOs0ewRFEs0/OkY5Mcv/9c4W+iiEeWyO2Md/Sasd3SOzuhL9N2gqHtjAd9l4xpqZqFAAAg\nAElEQVQ4sFVkxN7vZjuEUO1RiOrq6g0/nqX2b6ZlnA0J84rC8NAQo5PTBKtDCGZkwl6N4WiK5xzo\ngCV1L5Ig0L7/AO919VDTsDgDz6SStNU3MrVQ2sre7jUiFys5vP4gn128zODAAKHqarxeL5cvX6az\nsxOPx0M6nebJL38ZQRCYmZmh+/p1BgYGCEciaFNT1NXVWaXAR48epb6+3oqyjI2Oks1maWxqIhAI\nUFVVRSaT4erVq3z53Dni8/P09PSQz+UYGBggEolw7333WYNLf38//kAAv99Pf38/+Xye+fl5piYn\n+crTT1vEc2pqiu5PP2XP3r1gGLjdbrKKwvTkKA3NewCYj81QtbdATNLTY7Q0NZZcG+e9PX7kAL/6\n+CJte9tLlifjc+xp3VN6H4qeIs5IiuiIaHmlxYFTkmSOnzhBT08PT953R9m93cVuemcnYZeM7GJd\nUMm5NJVKbfkxJRKJNXuHrBWmBb/b7baqdgzDIBaL8dmFC3R2dpJSNDxeL0Jx0LKXkBqO2XNFMrJE\ntEcsCiwFx6CXTyVo6DzIfLq3ZLmdwErFfQqiyPDELE+cedQq0VVVlXd+9SuqQyE8Hg8XL16kqakJ\nXdNQNY0vnT2LIAgoisLAwAB9fX1E6+qYmJhAEASi0SgzMzMcPnKE+vp6FEVheHiYsdFRcrkcteEw\nCwsL1Dc0UFNby+XLlznz+OMIgsDQ0BC5XI7+vj78fj/Hjh8nEonQ0NDA4OAgHo+Hu+66i9HivhKJ\nBIMDAzz40EM0NBScULPZLIYgkpifY9/hTuvcBUFAU1WCol42WIkOb5e6unp8Fez21XyOYFVpxEQy\nCiXMgjOC5TCe83tsz6kgcOzEnXRfv172HdsR20XQuRHpne1ybjsZu2maHYSS/hebGBlZqt/NVkVn\ntpN3yFJpmZGREbw+H4899hhzc3MMj45BbQsBr7egXbDB+RKs9FJ06kqg0DlWKhpuiY4afoukOL7L\n7o8hmBEZQSQQijA+NsaQohRSHIrCqbvussgJwMcffYTb48HjdtN1+TIGEI1GSafTPF4kEgAzMzP8\n4uc/p76hgempKaampujs7CSdTrP/wAGLMMzOzvLhhx8WyElNDT09PXR2dtLa2srFzz/nkUcfxefz\nMTMzQ29vL329vfh8Pmpqa3G5XOzdu5eRkREkUeTur3+dmZkZ+np7SaVS9A8M4Pb6MfTFQcacmCWn\nRnngjuNc77pcej0r6HLCQT+5TBqPb9Fvwm4eZ11XUSCTWmCPwxHXHinRNA3ZZkQniiIerxd9h5Q8\nbhU2Ir1jkpldrB92IyM7FJtBBMwS2Vwut+XRBxN27xBVVbfM7M2sIgJKTOey2Sw9PT1ouo4+OwtA\nJBIhncmiibO033+a2Mw0nkDA2p/PV/j/zMI87lySfDyGEm3G5V0UK1fSqKaSC7Q1FVIzzoqaxZY1\npQOdYM7gBQFBEAu9VFwu/NVhDh85wtzcHCPDw0SjUaYmJxkZGbFSI3c5yMn169eZnZnBV6yMURQF\nt9uNqig8duaMRQIUReHNX/yCpuZmZqanGR8fp6mpiXg8Tltbm2Uzr6oqFz//nFQqRW1tLd3d3TQ0\nNBCNRhkeGuLBhx7C7/ejqipDQ0N0d3cTKKZwJicnaWhoQFVVFFXl0JEjaOE006NDiydf/L14KTw3\nboczsJMkAtTW1DAXm8LT0m5bsZw81EfruTI6Rf19p0qvt+2+zE2NcfjwEeuzJBVea26Pm/n5eWpq\natjF+uBG6R1T6GxP75giaPO3kclkluUc/cYbb/AHf/AHaJrGv/pX/4o//uM/Llvne9/7Hv/7f/9v\n/H4/f/VXf8WpU4Vn5F/+y3/Ja6+9Rn19PRcvXly/k9+m0PK7dvA7CpsVjTBFqjdyeN3MyEilhnvZ\nbPbmG27QsSQSiRIzNTMtk0ql6LQJMoeHhvj8wgUEUUYuzsbmYjN4GtpL9pmKTdHmMThy6gT9vV4W\nMjMkjAju4oxcN8oHwHw6RbC1EGWQHKkey+3TMduvb93DwlyMqnCEQE0tk4O9+ILVZOIJfv7zn4Nh\n8NiZM9b9jsfjDA0O0tnRwczMDONjYyiKQm9vL1985JGSAbS3t7fQqDEYpPv6dRRFIZlK4ff5SvYJ\n8Ot33iFaX89CPM7szAwAbo+HumiUO0+etNbr7+/nvXffJVJXR39fHwBHOzqYm5vjgQceIFi0Xo/F\nYvziF78okBOfj7d+8x4nz/wfZBdsjegkkURshs72gt7D5SDXlSpndE3D41xeIYLS2NLKZ1euli0v\nER7nc3i9Yas1vTlQNtQ38PHFyzz+8IPl2+9i3WCmd8wUjz29k8vlLLH0M888w/Hjx8nlcly+fJmO\njo6K7z9N0/jud7/Lz372M1paWrj33ns5f/48HR0d1jqvv/46PT09dHd38/777/Od73yH9957D4Df\n+73f4/d///f55//8n2/OBdhi7KZpdig2ighspxJZE9vFO8SMFAElPXcMw2B4eJh8McVx9epVcrkc\nLlnG5Xbz2JkzfNz3NxjF66irpSHgvKIQ0jMcueM+oOB/cefxE/z6w4/BdwAATSlPDRi6Zu2nyu8h\nafO0MHUnoiGUhJyrQzVMTnZTFY7gcntQclka9h7g2vWLPPPME1RXVzM6Oko+l2OkqMk4deoU0WiU\nKIWy3f7+fs4+8QTT09PMzsyQVxR6enro6Ojg6NGj1vH19/fj8/uRZZmenh5UVSWRSJBKpXjkkUdK\nZq2ffPIJXq+XbDbLlStXUBSFfD5PfX09X3hwcZCOxWK8//771EejDA8PoyiKpU+55557qK4uaDmu\nDo4zNzuNz2arbyAg5RKEatqBCumxyjXV7G9roXtmmqqiK+4SldSIFXwU6qL1xBJxAlUhZEMlUhfl\n8qVLHDl2AkkqzMij0XpGBrsr73QbYafpKuzpHUVR8Hg8uN1u/tN/+k+8/fbbfPDBB3z1q19lenqa\ne+65h+9///s8+eST1vYffPABBw8epL29HYBnn32WV155pYSMvPrqqzz33HMAnD59mvn5+UKJemMj\nDz/8MAMDA5t5yluKjUjTxGIxvvnNbzI4OEh7ezs/+clPKkYYbxbB+s//+T/zR3/0R8zMzJTYBlTC\nLhlxYCPIiGnJvdwSWUEQKoa21ws3I0bmNdiMF6RdpwKL/TnS6TQfffQR9953X0lY98KFC7jdbkRR\n5Nq1ayBIlmRVkErJ1MLYAGd/65my77z3zhO8/fkVqpv2lphsmbCf9b4Dh/jwai+uaBOw2CNlz/4D\n9I1NUVvfsLido5usKIrIbg/dPT3ce889tLW1WU3ywuEws7Oz9Pf1MTQ8jKqqNBS9Pvbs2UMqlaK3\nt5cnn3ySZDJJf38/Sj5PX18foVCI0/ffbxGhwcFBvF4vhw8fZmhoCCWfJ5FMMjw0xJfPnSsps714\n8SLRujo0TeP69eso+TwTk5O0793LF77wBWu9TCbD5xcuEI1GmZiYYHhoCFXTiKcyBBtEDBvpk2Q3\nfpu8SHCQWleFZoOCAJFolN7xKWuZx1O5sslVgaXU1Tcw0d1HoCqERFFUWXxew5Eog309yC65vDHi\nLjYV5nvE5XJx+vRpIpEIg4ODvPzyy8zMzPDBBx/Q1tZWss3o6GjJstbWVt5///2brjM6OmqlJm8n\nbAQZeeGFFzh79izf//73+eEPf8gLL7zACy+8ULLOzSJYw8PD/PSnP2Xv3r3L+s5dMrLBsItUN6NE\n9mZYKTHaSDh77sTjcQzDYGZmhkwmw6m77mJ8fBxFUZifm2NwcJAnv/xlS18xMTFBKByxNCZ2XpHP\nZjmwp/QlZ157t9tNUMsUxHgV+s/YIwuiKOKyN2wr3j6v14uWL01nlbiwFgdkXzCIYgj09PQwMjxM\nXTHyIAgCkUiEifFxOjs7iUajqKrKyPBwQU+iKITDYeLxONFolGAwyOXLl3n0sceQZdnSnPT39+P1\neDh85Ai1tbXU1tYWmumJIifPn2dsbMy6zr29vdx9993s2bNYPtvV1cWJ48fJ5fP09vaSz+eZmppC\nlmUetEVOVFXlwoUL+IJBDFXFTtliE6N84dyXAYotFUoJgNdhKGgYBmKxn4zHpr1Z6pdRH62vuFws\n6nQ8xfslFcmo2+Mhm8lSVVWFoqo7LvJwKyOTyVgGk3V1dTz11FNl6yz3XjknjbfrPd6INM2rr77K\nW2+9BcBzzz3Ho48+WkZGbhbB+sM//EP+w3/4D3z1q19d1nfukpEi7NGA9YhKrEWkulGpouV6h2y0\nZuVGPW6uXr1KPB5nb3s7gUCAQCDA4OAg4UiEe+69l/HxcaanplhIJPi//5+/4/y3/5C+q12F/drO\nR5mfotkxSxJsZb/33Xsfv/q8i0qu5E6rcmmJvii6I30g2yIzZkWNYcDUfJL62hBnHn/c+vv4+Dhv\n/uIX1NfXMzk5yezsLIcPHyaVTnPw0CHqi9Ujs8XZo1kZ09fby9GODlpbW7lw4QIPPvggfr+fubk5\n+vv76e/rw+3xUFtTgyAItLW1WW6uX/va15ifn7d8RUwh69GjR60oy/Xr1zly5Ag+n68QjVEUZqan\nmZ6Z4dy5cwwkPkXQVQR58XmWjEXB89TEGFXVoZLr4iztzaRTVBVDvntaW+iejREIhZc0oMtn0xWX\nC4ZOcj7GiSMF8apkI9aCKNDQ3MKb/+9rpFKpMq+M7VTRsZPJkvPc7GRkKbS0tDA8PGx9Hh4eprW1\n9YbrjIyM0NLSsk5HfWtBy5enmgF+0z/Gu/1jq9qnKVwHaGhoYHJysmydG0WwXnnlFVpbW7njjuX7\n/OySkQ2AXYuxlEh1M7FUqexWwC7gtetUMpkMk1NTHDh4EI/HQzwep6+vj+vXr1MVDFJTU4NhGDQ3\nNzM4OEh1dTUHj3YwOtDLngMHS77DMAz8glZ23e3aBVEUCRgKFbs6GDcgI7YB03A4vBqqzfisSLBc\nbi8z8zFEoZWuri5LKKzk8zz62GPWizqTyfDmm2/S1NRUELSOj9Pe3s5sLMaePXus8LOiKFz8/HMS\nySThcJju7m5aW1upra1lYGCA+06fJhgMoqoqo6Oj9Pb24vF4Ck30pqasF8zoyAhf+cpX0HW9oGXJ\n5+np6SFUXU11dTWhUIhQKERfXx979uzh/gce4J13fk02o3Gks5PR2YKANZNOss9mXhafmyPS4OgH\n4xhnkwsLtBRfYrXhCIxMQShMRWYIuGWZZCJB0FZxVNitjqHkCBTFtnJJmk7A5XbjcskEAoGKZl7O\nctSdSgi2E7LZ7E3JyD333EN3dzcDAwM0Nzfz4x//mB/96Ecl65w/f54XX3yRZ599lvfee4+amhrr\n2b7dsFSa5oE9jTywZ3FC9n+9+VHJ38+ePcvExETZdj/4wQ9KPi/lmLvU7yWTyfDv/t2/46c//eni\nMS5jcrtLRhxYS1TA3k12LSLV9YxMbBfvEChPy5jnOTs7y0SReV+9epX29nZEUWR+fp7HHnvMKjce\nGRnh+rVrhEIhPF4veUUnPj9L+6GiuLN4rRNTY9zf2Wnt04QzfdASjZKdjpUdp/MKSYZub2C/uNx5\na+2fi5ER2e3B5wpz8NAhoBB5UFUVt9td0GwoCrlcDo/bzRlb2a6u6/zqV7+iqamJWCzG1NSUVSkS\nqasrq4y5euUKkbo6BgYGEEWRo0ePEovFOHXyJKFiFCIWi/HOO+/gdrkIBAJ0Xb5MR2cnNTU19Pf1\ncebMGVwulxU96e3tpaqqCr/PR2NTEwuZPLLkRZYkXEWX2ZnRUepswjShwqDu1JDoRqnQ2C1UrlAy\nEQqFSMzNlpERdA1BsBFAafF1ZvLOzjtO8nd//w88/dSiduZGZl7OpoC7BGX1qPQOy2QyJRqmSpBl\nmRdffJEnn3wSTdP41re+RUdHBy+99BIAzz//PE899RSvv/46Bw8eJBAI8Jd/+ZfW9r/927/NW2+9\nxezsLG1tbfzbf/tv+b3f+731PblthNWmaexkwYmGhgZLEDw+Pm5Fau1YKoLV29vLwMAAd955J1CI\nWt1999188MEHFfdjYpeMOLBaIlCpm+xWo9Lgvxysd5rGXj5s16kYhsHQ0BDBqio6Ozut9T/5+GN0\nwyAYCNDd3Y3P66WxGDF4+ItftAStP3v3EzzGIkM3+9J4dIVkIo7XFyg5DufZyy4ZWc3hhOEo9w0G\ngsRyWTRVpbXGNvA6ZvKGsRiWTs1OMZWJIwfDKPkcly5d4tq1azz66KNEIhFrm76+PrweDy6Xi96e\nHvLFMkhRFHnooYdKnqOPP/qI6lCIbCZjRVlcLhd+v58HH1psTBePx/n1O+/Q0NDA+MQEA4ODtLa2\nMj4+TkdHh/X9qqry0UcfWVb7V65coaGhgUgkQn9/Pw899FBBG6NpjI+PMzg6Tuuhowz09xE9UCCA\nhprHYxtcnNGo+bkYXq+/ZJmmlPoiRGtDTKRT6HrlZ07X8rgriFh1RcVlJyD2/y+SQY/XB4Eqsrkc\nV65eJVxbi9vtRpZl6urqFp8dm5mXqqrk83nrfHat0NcG+zXL5XLLakp67tw5zp07V7Ls+eefL/n8\n4osvVtzWGUXZ6dgIAev58+d5+eWX+eM//mNefvllvva1r5Wts1QEq6OjoySts2/fPj7++OPdaprl\nYi0vGUVRSCaTeDweq5vsWo9lLWSgknfIVqFS+bCpGRkfHwdBYGZ6mrGxMWuW2t7eTl1dnbWP69ev\nc/3aNaqqqgrGZ5pGW1sbim6UOJ8ahkEumyFS5WN6aoqWfYdKjsU5Qzd0Db9UntdWcqUEpa19H2Nd\n3WiaRsPxRXMtp/i3qX0fc/Mx8qkFztx/N7PTk/SMzZDPpTH0EF/96leZmpqir7eXvKLQ3d3N/v37\nOWbzTxkcHMTn9eLz++nv60NRVVKpFFNTUzz++OMllUWXL13C4/Gg6zrXrl0riKWTSSKRCA9/8YvW\neqqq8pvf/Ibm5mYrBWTqJtr37qXeFt7u6emhv7+f2tpaent6QBA4evQoMzMzePwBXKKIqimIokgy\nkSCXjFNTu/RLZnxkmCPHTpQsU9RSMtLS2kbXO++xv4LqPrmwQFNLG/F4ouxv4UiE4d5uuKNw/YJV\nVUxNjFPf2GRdJ1EUyeRV3n//fQ4dOsSBg4WUnqIoXL161XouDV0nFAoRKJrmLccKfb2iJztZM+LE\ncjQju1gZNoKM/Mmf/Anf+MY3+Iu/+AurtBdgbGyMb3/727z22mtLRrCcWO6zvUtGHFgJEdhOg76J\n9fAOWa/IiNn8z56yMgyD3t5eMtlsySCcSCS4fv060WiUeDzO9PR0oYpmfp5jx45x+PBha93h4WEG\nBwdpaT+Aaq9oEUWS02Pcd+8prl2+VBJVyOfzVrWFCcMwOHnyFO9f7SPctCiQEyucuwsdTS/VoUTr\nG4nF5wiGCl10/cFqJqemqZGhpqaWkcF+2qK1dA8kGRkd59jx4zQ3N1vddp988klyuRwDRaFoX38/\nfp+PB77whQLRaWxkbGwMlyzT0dFhVRZlMxmuXb/Ol770pZLa/6tXr9LYVChB7unuJq8oxGIxvF4v\nDz/8cEkKyJypLCQSzMzOoigKhmEQjUa5//77rX3GYjHef+896uvrMRDwumTmUgViMDs+TKSuruSa\nOAkfRrn9t1NrA5CZnSRyzz3ly5MLtB/cx/xcV9nfGppbmB7qsz6HamoYHBykvrGJQHWIudgsLo8H\nWXbzyCMPks1mC0Sw2AVZNwzO2EzjTI1NfX19oeJHFKmvr68YPXFaoTvTO7uoTLIymQx+v3+JLXax\nGmyEDUQ4HOZnP/tZ2fLm5mZee+0163OlCJYTfX19N/y7iV0y4sByB2K1OGPdCMOw1ZCB7WSqdqO0\njFkZo6kqfX19KIrC6MgIumHwpS99ydqHOWAfOXKEhYUFZmdmrOZx99x7L0eOHGEo08vc9Li1ja4b\neIs9Spw9Z2YmJqiti5QsMwy9IObNJkuWu9zlpFJCL6v2iESjjF/rtsgIwML0JCfvXlSQHzt2jL7h\nYYKRKKOjo4yMjKDk89TU1lpluz6fj4sXL/LFYgpqbGysQFIGBnC7XBwo5sUDgQDT09PMqCpf//rX\nGR8fJzY7Sy6fp6e7mwMHD5bU9Pf29tK+dy8ut9uKsszPzxObneWJJ58sIWuXLl0iEAiQy+WsKMv8\n/DxNTU184cEHudbdTTab5uDhI1y9VnBE1bIpDHdpYztnM0K5QrrSXeH61tWGKvYtMVNhuqaUDW4L\nczFaWksrKGS58H01tWGuXvyMmro6vD4viqJQV1dHXV0dXV1d3HHnndTU1DAyMkIul2NifJz4wgL3\n3nuvJYRUVZV3332Xffv2WZGSYCBgGcABlt25aYWezWZLLNNv1kjudkM2my1JU+5i7dB37eBvT9hF\nqn6/H7fbveUvGrt3yFbrVczIjCRJVvM/k5xcunQJ2eWisakJt9tNpK6Ozz77jDtPnrRKeJV8nrHx\ncRYWFjhz5ow1izIdRL/4yCPEYjFe/V//SLTzPsKRRUFUNptjX11B5Cg6rsH8fIwmh7kSRY2CR9BL\nBjpZKieWMrqtL43tfJXSepx8Yo460xejyIe8skxag2QyyYEDBywRVywW46OPPiKTTlNbW0t/Xx9H\nOzpobm7ms88+43SxMiYej9Pf38/gwACiJFFrqywybeWf+spXyGQyDAwMFKIsfX0EAgHuu+++AuFq\naGB4eBiXy8WJEycYKbqsptNprnd38/jjj1Nbu0iqrly5Qnt7O5qm0dPTQ+/gKJpSKOEVRIlUIkH7\nnj3MzsyWnL+TTMgViEelX0vb3r3MTo4TbXKUZxZJ+b4DhxiZniZs8xxRclm8jlSZu2iwZqZPGhqb\n6bl8kVwuR29vL9evXaOuaOQWDofZs2cPfX197D9wgJaWFubm5ujr7SUejzM2Pk5rayuNjY0Wof7w\nww+pj0aRJMmaMNTX15e4BtsJykobye10LFczsovlY9cOfofiRlGJzRKpriQyshGmaqtN0yyVlpmZ\nmSGfz3PvffdhGAbj4+NMTU0xOTlJNBpFURS8Xi979+7l8qVLHOvsJByJMDkxwcT4OKNjY6RTKTo6\nO6mqqir8C0dB10oiILHJYZ74wm8Vz6F8hr3UtbnjxB180jdCKFoog6vU7VU0dDzu8p+L4WjuVh20\niWaLXxfwuOnpH6Tt5BFLs3Ho0CFisRhNTU2WP4KiKFy+fJm5uTkikQi9vb3s2bOH2tpaBgcHOXnq\nFDU1NWiaxujoKIMDAxiGQaimhpmZGRoaGnC73XR1dfHoo4/idrsLUZZsttBt1+Vib3s7fr+fve3t\nTE5OohajLFOTk/T19pLL57l+/ToHDhwo8Xb4vHsAj2dxoI9Pj3PwjuPMxkqrkZxpmkqDbiWhqigI\nUElMrBdSOn6/Hy0/XvpHTUV3NCw0IyMAnmL1UThSx3sffMjetlYrIqSqKsPDw1wrVmd5PR5kWaah\noYFcLoem63zlrrss8W4mnaa7u5tofT2SLFvXpru7m+GREbxerxU98Xm91BY7IMNiI7mlSos1rbwM\nfSdgqTTNLhlZX+x27d1hsP9oKg3E9q626yFSXSu2k3eIYRikUilUVS1Ly/T195NMJgsVJuk0Bw8e\nJJfNUl1Vxclieerc3BxXuroYHx+nNhxmcmqK2nCYxqamQr+RI0eor68nkUgw0N/P2Pg4iWwel5JH\nsFmNi/YoxTLuj0kkvF4vYnEgNAcUJyKROrp7y3Ofoq3yxjAMJH3xGFxyYTBq27OHkXd/Y1UMGYbB\n22+9RWNjI/H5eWZmZqiqqio0T6yu5sSJRcHnyPAwFz77jGh9PSMjI0xNTXH48GESiQRHjh4lGo1a\n1/CjDz8km81SW1tr9bRpamris88+4/777ycQCLCwsMBAfz8DAwNIkkR1KFQQ5jY2WlGWp59+2koT\nmc37ensG6TxRKNUzBBFDKVwvv680/+8kgU7DM6jcnFDXNJT/n733io0sv/N7P5UzKyfm7mZm52an\nmY4z3RO1I2mNuytfY6V7tTYEA76GAQO7th/sJwNawG8reL0Phq3V4hrefVivViNpNTlopic1m6kZ\nihXIYiUWK5CV8304pw6rSPYoeEajnds/YDBdh6eqzvmfU+f/+/9+31A6LG7WRaJpdmNNZM3GoWSk\nk+GkFpMBrV7P6uoyk+NjrKysoFAoGB0dJZVKcU10LAZIpVK8+eabaLVaDHo9S4uLTE5NYTabSaVS\nPPf888jlcvb29ggEAvjX1+kxm9FqtQwODkrJXzqdplqr0RLdapvNJg6Ho6t60ul02/nfQebOF/2c\n+azjl9EZeRy/WjxORr6kcfDH/0WAVH9RZaJTO+TzEFX7VSojbVVXpVLZ1ZZpM0AGBwelClKxWORn\nP/sZbrcbpVLJ/Pw8ExMT5PN51Gq1pFDabjNsiviSWCyGRqPBbDYTjUY5fvw4G+kSKoVcUl1ttVoY\nOioXB6/jkWPUsYtKTEwqpSJWm+PQri6Pl/lPPjq0vbMykk3GmT65n0jo9EKVRKFQoJDLWVpcpFAs\notFoeOLJJ7vupY8/+giTiD1aWlqSWm71Wo1bt29L+xWLRV577TX6+vrY2dmRxiOVStHX14e3t1e6\nLsvLy6RTKewOB36/H6/Xi9PpZHNzU6qyNJtNgbYrVll6zGZiYnuiv7+fhYUFZmYu8f7sAtOnhWQk\nn8sz1CtUkQ4BVn8JzMhRt1a9VsXptFPI5zAY9/VEWp1y/YcqVk1oIU3iILTnJNaLmBRrdTrsbjfj\nolJrNpvlvffew+N2SwlXm/p8+vRpiYLYaDR48OAB5VIJs9ks+Po4nXg8Hnw+H9euX0en0wnVvmiU\nNZ8PjUYjmD1qtQwPD0sGiBqtlkw22zUAHo8HlUpFRWRvKcRjr4nGkPAPm1p8VGWk7az8OD67aD5O\nRr6c0TkRd060v2lX20clA7+udshnHQexM52rvm1Rrh2QhL16enrIpNNS+6C97/JKwyAAACAASURB\nVNtvv43DbkehVLKwsIDdbpd67p3y6fFYjE8++QSHw0EymaSBDJVcTq0tQx6N8MSNW9L+jQOMDc0R\nlaNWR7tgwONiYzdLrVrGeXzw0L4A7iMEe5RyhfTQldVrWG1uUjtJ7A4nFpuVneQ2ZqsVjVpFrlDA\nYbej1WgIBoPUazUq1SrZbJYrV650rRhXVlaoVioolUpWVlao1WrCd0CXOFp7DN1uN3u5HKnFRXRa\nLUpR2KyTsRSPxXjzzTdxOZ1EtraIRqNMTEywt7fXJUG/u7vL/fv3yefz2G02fvL3P2Nq6iRKpZJm\ns8luepvembPS93fGweTkULJyxLUBqFYqDE5Ns7Dq605GOvZtHnhfo1ph4uQpIrEYLhFr4nZ7Cfl9\nDI+OI5MrxEldhtZgYHFxkVKxiMVq5fr16/ufKwrM9fX1kUwmiUWjtBAqZm63u0tmPBqN8vZbb+Fy\nu1lfX4dWi8mpKTKZDGfOnJFwN/l8no8++ohqtYpZTPDGx8fRarXM3r/PiZEREtvbtFot6iJ2Z2ho\n6MjqyZdJmO1xZeSzj+YRzuP/EONxMvKIKJVKlMvlron2NxVHPVx+m2jE7crHQcBss9nkwYMHHDt+\nnBMdE3cwGKSQz2M2m9kIhahUq9LK7/Lly10rpY8+/BCD0YhSqWRpcZEWgqFWRlRjbY/NbOg1LBYT\n6ZLwQ8zuJJg4MfzIY1YcYQjYiTdxeTxsLK0glykenXQ2D7cXjp0YJZxO02Ozo2g1MFusbM0vYHc4\n6TFbWXzwMafOzaDXavnowSL/z3f+UHpvIpEgk04zdOYMcZG2W6lWCQYC3Lp9u4u10WYeadRqfD4f\ntWqVksjcuHr1alebbnZ2Fp1Oh0KhkKosFouFYrHIrVu3pP2q1Sqvv/YavWKVJRaLMTg4SCaTweV0\ncv78eQA+mV9CJ7YyggE/ZpNxfww7cpHUThK9fv9vcDgZqVWrqNSHf09Su6fRzQzopC3aHPuVk0ql\nhEGvR6lUdiU3aq2WstjusTtchNZ96A0GeswW9Ho9Wq0WlVIpUZ/z+TyNev2QwNz8/DzNZpNyqcTy\n8jK1Wg2lUolSqeyqVDWbTV599VX6+/uJRiJsbm5it9upVqv09fXRK1aq2kyyUDAoVacMej0nRkZY\nXFzE6/VSLJXI7u7SajbZy+WwWiyPFGb7h0otfpyMfPbRanx+PmK/yXicjIjR+YMHpNX8F8lMaa+4\nOxkqv4kKzae1aY4y22u1WuTzeRLb2xw7fpxMOi2Zs635fFy/fp1jx45Jn7GxsSEA2bRawuEw1WqV\nSqVCvVbj5KlTXToEK8vLpNNp1Gq1NCnkCwWKxQIGg4mSTJi8SrlM10O4cbCk/4gErzPUrQYljh7b\nVqtF5QhMg95opBaJAXaUIq1Y0QGibFdfevv7mYtFCAQCEniy1WpJKqdth97NjQ3uPvMM29vbbG9v\nU61WCQQCnD51iuPHj0ufG41GUeXz6PV6aQyr1So7OztcvXq1awx9Pp+Ad1KrpSpLGzh5+6mnuu7x\nd995B7vDQa1WY3FxEbVaTaFUpk/0f4lFtpicnNgf1g7V00Q0wuh0tzHWQQzJbibF0PETh8ax2U70\nOii89VoNdUfi4u3tY3k9iMFoYi+d5uSIIGrXaHSvDI2icJlKrabVqOPy9vIwHuH999f4J//k/9w/\n3kQCpUIh6ZPUajVqtRoboRC3bt+WBNBASAYrlQoqlYo1kfpcqVah1eLpp5/uGsOPPvwQvUiTTqVS\nEmakUqkcarm98rOf4fV6icViNJtNhoaGSKfTmEwmHE4n22L1pFqtUimX6evr67q2B5k7B4XZvkhq\n8aPaNI91Rj7beNym+RJGuwUCYDAYvrBEpDMx+iy8bj6L+LS2zMbGBoFgkCtXrqDVajGbzRId9fnn\nnyeZTOJfXxdW/cEgk5OTTEzsT2jRaJS9vT3MZjPxWIyq6NeSSqW4ePEipg5PEr/fz8ZWBKVCSWwr\njO34JPm9XXSq7ltZqeyuHB3Uv2gfe2eoZS2KjaM5+8V8HqNed+QDttWo0ajX0ajEClHH5Ng2zJPL\nFfSYLRw/fpzZ+/eZmZmhp6dHYGqUSkS2tqjWakxMTKDT6RgaGqJarbK0tMSdO3ck0GStVmNjYwOL\nxcKlS5ek78lkMkS2tjh37pyUCLaF1K5du9ZF241EIuzu7tLT0yOpwbY9ci7MzHStXD/88EOq1aqE\nfzHotLg9grDazvY2xg6H3majfmhsmgfGuNFoHFKubbVaEj1xdHQcfzSOzeUlm95hZKTbBFEmglhl\nHQJ0zfqjGTUKlQq5XI7eYCBWFKnP1SqRaJRarcbNmzelqlK5XGZleZlbt29LlaKqeM9OTU11qUsm\nk0mS29uYenoIhUJUxfFOp9PMzMxgNO5XiEKhEOlUCq1OJ1Wq9Ho92WyWmx1tS4D333tPWHAoFKyu\nrqJUKnG5XOxms0yfPElaTPRbrRaZTAabzYbL5eoCjT+qenJQOfaLiMdsms8+Wo+wUfiHFo+TETHa\ntFSTyUQul/utKHV+UV43Bysjj6I0N5tNQhsb2Gw2bg4OEo/HKZVKbG5sUKlUOHX6NFqtloGBAQqF\nAj5RzyKXy0kTaygUwmKxcPnyZen7kskk24kE586dEyYFceLwBwJcu3aNalOO2Wyk1mwik8ko57OY\nLeYDJ9H98uCkKJ5A18vxySl+8rOfwcT4oV2LhTwzV66yGYvh9HS70jZrVXZT21wWKwadlSuVONEo\nVCrsTievvfYaDhGUazab6e3tZXFxkYnJSVwuF3t7ewSDQRKJBHu7u/T19aFWq3G5XLhcLh48eMDV\nq1dRKpVshEJUazW2traoVqvcvHlTqrK0E5mnnnqK1M6OJI4WCoUYOXGiywsolUoRF82wYtGolJwk\n4nE2IlHGJ6fRG4TJtdaheBuNRhiZPrM/5Ad+M7vZDJoDbJvWEWZ42XSa3n5BA0ar1dKsCN/ROiJx\nqRSFxUKtXNof/wMsG2VHYtoG0LZaLSwOJ8PDwywvL3Pq5EkJHF0uldhOJkmnUkxNT0sCcwAPHjzg\n5s2bFItF6Z6Nx+O0mk1u3LwpXet6vc78/DzT09MkRXuDWrXKZjjMubNnGe6wUt/d3cW/vo7NZhMq\nZbUatXqdRqPB9MmTXe25jY0NQqEQJqORpcVF6o0GfX19hEIhTp48iUqlIpFI0Gw22UkmsdntmIzG\nrgS+k7nzmxRmOypxf6wz8tlH83Gb5ssVarVaYoN81kZxv2rURCMxmUz2mWmH/LrR2ZZpU5rbbRnf\n+roEauzp6cHr9TJ7/z6nTp/GbrdL1ZEtsY3g9nhQq9U4nU6sVivz8/Ncu3YNmUwmsRo2NzdptVrc\nunULpVKJVVQqDW9ucvfuXQEcWyxh0RmlBENer6GQdydrak03Yv8g+BEOt3Lkcjlq2dElz1azLpjG\n1Q9XTpRyGYoO2fPOCbS9TaPR0Ns/wMnhXqxWC5VKhWAwSMDvxy5OigZR3TMRjwtslitXBE2RrS0y\n2aygy+JwUC6XcTqdDA0Ps7S4KDFA4vE4pWKRWDzO3t4ek5OTXRPr7OwsN27cEGTRxYk1Go0ig672\nQbVa5eHDh5w7f55wYodkIsH0uRnSyWTXREmrOwHRHBjzaHiTiZPdbZujqDT5/B697o7WTVMY40bt\nsO6IWmRMqTsSDqPBQKlQQCeep0KupF6vo1QqyefzbPhWqNcb9FjtvPrKK1itVuKNBlabjd7eXoLB\nIH19fVy5coV8Pk8oFJKk49uCZ+1kcG1tjcnJScxmM2FROC6VShGPx7lx4wZWq1WiW8/Pz0uf6Rdl\n6JPJJCqlkqtPPLF/us0ms/fv43Q6SSQShMNhGvU6mWyWsbExCbsDwgJlfm4Ol9st2AjU69Iza3Bo\nCJvNRla8V9LpNDqdDq1We2T1pFM5thMc+3kKs1Wr1S9UhuDLGM3qYSzbP8R4nIyI0bky+KKSkU7t\nEJlMhk6n+0LbMm0Qb6eOSavVElZirZakE1IoFJifnyeZTOJwONja2sJsNmM2m9kKh5mYnJTEzcLh\nMLFolEKhgMvtptlsYjKZGBwcZG5ujosXL2I0GoUVa7ks4CEqFc6cPbvfvnj7Q3qMJipiCZpGTapA\ntOMXUU5brdaRSqA2i/WIrfsqh80jkpFmvQrlgvRa27Hy02j1NJtNtDo9OpWKP/svf84ffvv/Qi6X\nUywWeerpp6X7bTuR4P3338dut1OuVKjX6wwPDwNC2/Du3buAUMlYX18nEAhgt9tJJBJYrVa8Xi8+\nn49jx47R29sr6LKEQmSzWWLRKN7eXrRaLUajEYfDISUyRqNRwkxsJxKkUilu3LyJ2WxGZzBKSfpe\nJo1eb+g4z+7k4yDQW34E06NU6JbeB7rMDgH0ag3lUpFqR/WjHRarjUJuTxJDAxgYOsba+joDBgFT\n4/B4WVtZwWTqwaSWcfzYED/9+58wefo8DjVMTIxLwnFra2v0mExotFpUKhUej4dKpUKhUOD5F14A\nkKonfr8fs9ksJSdDQ0NEo1HkcjmXL18mmUwSCASoVqv4fD6GhoYwm81Si8zv9zNy4gQGo5Gg6EfU\n1s75nZde6pqkHz58yMjICOVymbXVVaq1GtlMBr1e35XIAHzyySdYLBZSqRSxaJR6vU6r1cJqtTI0\nPEyz2SQRj1NvNEhub+NwOjHo9ZjN5l9amO2zpBb/NlSdv0zxuDLyOD7TOKgdsre394UeT7ValXx3\nutoy4qqxKSYlo6OjxONxTCYTp8VSdLPZxO/3sxUWjNRiMUE50+l0UiwWGT52DI/HI9GAfT4f2UwG\nh9NJNpulp6eHvr4+FjtW/ZlMhmAgQDgcJrmd5IXfeYm5+XnSiRjT09MEg8Gu4z/4wDvY5qqUivR0\nmMy1QylvUSzk0BtM3X8Q2wu1IyZIp7uX+FZIem13OAmHggwMH8PhdLER8DN8YoTVhTmsbgGsKAN0\nOh0Pl5aQyeUMDg4STyS4ceOGNCnl83nefOMNLFYrKlGXpd1eKZVK3L17F5lMRrVaJRwO41tbw2q1\nUiwWMRgMEnbHZDRy9oUXJE2RYrGI3+/HYbcLDB2NhqGhIfx+P0PDwzzx5JNsb2/zdz/6EWqNFo1W\nwMrUqiXMHTbgckX34+PgmB/lQVMuHR6/g3ieE6OjLK6tozxiZe719rKyHqB1oKql6pDwVygUKGQt\n8pkEly5eYv7BLF996Wu898EHfLz2EGgxNjZGOp3m0qVLUksjk8lw7/33aQE9JhMPl5aYnJrC4/Hw\n4MEDrt+4gVarlaonoWAQlUqFqadHqlbp9XrWfT5efPFFGo2GVD3ZCIVQqdVMT09LiXoymaTZbPL1\n3/1dYrEYlXKZaq3G2toaE+PjXZTiSCSC0WhEp9Wyvr5OpVymVq+zEQrx3PPPdyWCPp8PGULlb2Vl\nRaCQVyq0Wi0uzMwgk8nI5XIkEgkikQher5dWq4XL5epadHS2d+r1+q9MLT4SX3XEtsfxvxePRc++\nxPGbrowcpR3yRVVn2kBGuVwuqYK2Wi1yuRzJnR2Gh4e7ALZvvPEGbpcLuUIh6YS0NTFuP/WU9LnJ\nZJLXX38dl9PJzs4O+XyekZER9vb2umikuVyOhw8fEo/FcDidxKJRLBYLVqtV0H+QKzGZDJJHCnVB\ni6OTtZHNpNFou/vSB1sIudwefQd9UACb1U4hkz6UjFTLAo5BfYQkvKe3j3hwTXqt0+spi9gGjVZL\npVREJpPRbLbQ6fUMDQ11AUo3NzdZXVnBbLGwvr5OrVZjeHgYv9/PxUuXpDZLs9nkww8/RK1WS+Z6\nDocDm80mVTPak8n29javv/46PT09aLVa/OvrnBgZQa/Xk0mnefbZZ5HJZGSzWYLBIOvr6/T09KDX\n6XC73bhcLpKpDMfGJlEoVcTCm5w9d5bQ5pZ03AfL+LV6jWjQR62YRyaTs5dJE1ercQ4MS8mguafb\nWA+gVCwc2iZv1NE+glK/E93iwrlzXdsOts+K+RxPXr0i3atqtZpKPofBZKavr4+333oLb2+vlCwM\nDw+TSqU4dvy4ZJTXaDTw+XxSe2xtbQ23243b7WYjFOLM2bNYrVZarRbxeJytrS2KxSI2m41QKMTx\n48cZGhpifm6Oy1euYDQa2dnZIRgIsBWJUK/XpZZOX1+f0K6Znd13cxbBtuFwGJlMxpPXrqFWq3GD\nhMF65tlniUajEoC2jSVpV9SgG2zrX18X9q3XSW5vc/WJJzAYDFLFMxKJYDGbUavVaDQabDZbV/Wk\n3dqp1+tUq1XpPvhlhNm+yNb3lzmOslf4hxiPk5EvMH7btEPaLaL2hNZOROLxOMVSiVarxdramvQQ\najabXL9+veu4P/zwQ0wmk6Q42gLsdjuZTKZLJ6RUKvHaq6/i9nioVqukRTXWdDqNRqORBM8ajYbA\n1hFbEvGdNAqlMAmqNRpkIr6AjokxthVmaHxf7AtAJj+wQjvCIVb8yyGtC9hfeTucLnLZLKaOqkoh\nn8Nm7a6yyDtW6u1ncKNRx2oTkrF4PC75Ch0/fpwLMzPS/plMhtXVVRx2uwRONRgMlIpFxsbGJIVQ\nEFbBkUgEc08PvrU1WsDU1BThzU2JsQMCjfS9995DqVBgMBpZWFhgbGwMo9FIIBDg+vXrAiam0SAe\nj7O6skKjJcfpsJHZLZJNJdjSgMm8/92dj8DMzja7iRi3O5yXF+ZmmZ4Y5YN7H+A9Poahx0zjCK2W\ng/4+AOVijuaRjTQo7GXpMXcnNY0Dwk/F3J6EkTCKlY+RkRFef/01fGtr3Lx1q2vSfPedd6TKXDKZ\nlNpZSoWCGzdudF2b1159FY/HQzQSIRqJMDk1RbVaxePxMCCaMRYKBfx+P8FAAIfTic/nY3JyEofD\nQTqdliwOarUakUiETCZDPB7H4/Gwt7eH0+mkp6eHpcVFzp0/j8Vi6QLb7mazjIvMqzZtfm5ujlu3\nblESW0qVcpntZJJ6vc5TTz21zz5qNrl//z5nzp4lkUhQrVap1+tEIhEmJycZHByU7pnNcJjdbBaH\nw0Gr1cLhcBxZPTkozCaXy2k2m5KhYGcL/BdVRn7605/yr/7Vv6LRaPBP/+k/5Y//+I8P7fMv/+W/\n5Cc/+Ql6vZ7//t//O+fE5PSXee+XLR7rjHyJ4zdRlajX6xQKhUdqh/wmKyMHW0TValV6wNy7d4+T\np07h9nik/dfX12k0GqjVakLBoKCBUK0ik8k4LTJo2rG0tCQlGG2dEIfDQSaT4dbt29KKudVq8dZb\nb+F0OJArFMzPz0uKoJVyWVIdXVgNYDYLE3+hUGDAa5fGqx2NZrfxWLlcRiY/TCc9Klq0ulQ/26EQ\nkwuXy83i8mp3MrKXRW/oZo3Uq/vgy3YepFSrsVicbEWi3Lxxnbm5OQYHBwXnXFG7Irmzw9DQUBdt\nt16v88nHH+NwOgVcQCxGo9FApVJhMZsZHR2V9m1LnbtFL5u21HkiHmd0dFRaibdaLZaWltjb28Nm\ns7EugpFHR0fZ3t7G29dHIJLA6XKTzW/gdrvZzezh9A5J31UsCroryegWerWMEwdouM26cB2uPnGV\n2dn7NBr91CpHJHrKw0n4+MQUfp/v0HaA/v4+adJrh1qtoVQsotPryef2cNpt0j4a9T69eqCvn3gy\nJVQIRGZJpVJh5uLFrvt2eXmZ1M4OGo2Ghw8fSuO4ubnJTRFcDUKy/O6772KxWFCpVMzPz+N2u9Fq\ntRSLRZ6+c0f6LSficR4+fIjVZqNSqZDb2+PEyAhqtRq9TsczzzwDCG7OwWCQdZ8Pm81GNBKRmFfh\ncJje3t4usG21WmVtdRWP14tSqcTpdOJ0OvH7/YyPj+NwOAiHw5TLZQHQGwpx7fp1ab/2+V64cIFy\nucy6WD3ZzWYpFArcEbFKIFTc1mZnGR4aotVqoVKpsNvtjxRma2u3/NEf/RF9fX0oFAqy2SyWI1qk\n7fH8F//iX/Dqq6/S19fHxYsXeemll7po1T/+8Y9ZX1/H5/PxwQcf8M//+T/n3r17v9R7v4zxWGfk\nSxadk9nnmQgc1OtQq9VfaA+1JqpQajSaLsDs3t4e8USC02fOkNzeljQXVldXuXHjBg7Hvn9LOByW\n9APaehnlcplCPs+58+e7xKP8fj/ZbBa9Ties3kSqXz6fl3RK2vHxRx+h1WpRq9UsLS2hVCpJpVJc\nun4TgGxqh6sz7XJ9xxgeoOwmtjbxDgx1bWu3XQ5Go15jaOgY0Z1trI4O+feOz1QcvFzNBvVa9yRr\n6HDvVYnnZDAYcXt6+Yv/9VdkM2lefPHFLtDi0uIiExMTVCoVaUJIp9No1GouXb7cdZ/Mz8+jVqsp\nlUqCdLy4ujX39HDt2rWOw27y7jvv4O3tlTQq5HI5alG07uTJk9K+yWSSe++/j9vj4bU338bd28/a\nyjK1BgxPjTM3O9t1jnqjiVg4hFmvRq/TH6JPWzsqOOfOnWd+Yb6rYtSOo35rtUoZve7oNo25x0Qy\nEcPd0WY7NjLC8vIKw6NjREJBzl+4wLpvjbHxCQymHnaS21isFs5fuMDLf/e3vPDcMxKF3Ov1Eo1E\nJEpzKpXq8qgBATQcDAaxWa34/X5qtRo6rZZCscjZs2e7WEYrKyvk83nBbG9pCRkwOTVFLB7nSocg\nXbFY5P3330epVKLX63nw4AFjY2P0iNolbQ2SdtVifX0dnU4n6fy43W5kMhm+tTVe/MpXACRGVTAU\nQqfV4vF6UalUDA0NkclkaDQa/O4/+kekUinp9xcIBHA6nYyPj0sJXjweR6NW4/Z4CAYC0tisrqxw\n6/Zt7HZhEVCpVJibm8NssQjOxc0mVqsVnU4nVUYUCgXPPfccH374IT6fj4GBAQYHB7ly5Qrf+MY3\nJGA2CJXVkZERqc30jW98g7/927/tSih++MMf8q1vfQsQFJyz2SzxeJxgMPgL3/tljGb1cTLyOH7F\neJRex1HxeVdG2myZSqXS1SJqtVqENjbYCod54skn0Wq1DA0Pk8lk2Nzc5Hd+53fY3t6WqIp+v5/R\n0VHJhAyEB1k6laJvfFwQ4BIfZLFYjJmZmUMCXNlsFrPZzObmJrVqlaaoODkxOdklHrX88CG53B4D\ngwJDQN7h2Nq5StYeUHisViuoD+APjmLFFAuCZH2PuQd/eKs7GekIOQeuS7NxiLGq7GhdqTVaQYXT\n5WJnO47V5uSrX/0qsWiUcqVCuVxmdXWVixcv4umoQPn9fo4dO4ZSqZQmhHw+T3J7m6fv3OlKZFZW\nVtDr9cgVCsEPqFqVTPmuXb/eNT4PHjxApVJRq9VYXl6m2WhIRntPXrtGs9nkf/3dj3nu/HkCgSBK\npbjq7Ti/VDJJvVbFbtLT3z/A4vwDpk6eoTMOVvs0KhW1auEQiLF5VJumVET+qOpVo0Gtcpj2qxHx\nPGaDDpVKxd6eYExntdpYmJvl1JlzLDyYxel08eOXX0ar1TI1PS2NedvOYHJigt3dXXZ2dqhVq8QT\nCY4fO8ZMRyutjd9xu1xsJxJSFUqpVGKxWLpE/UqlkuB909srsZbcbje7u7uMjIx0Vav8fj/xeByH\nw8Hq6ip6nY4TIyPs7e5yVsSogNAuun//PoV8HovVKoFtvV4vCwsLXL58GaPRSKFQIBQKEY1EqDca\nmM1misUidrsdu93O/fv3efrpp1GpVGyJ1ZNoNEq90eDkyZMYjUaMRqOEZ3npq19lZ2dHEjGMiFWb\ndnWuXC4TDAQYHR2VrrNcLuell17iK1/5CrOzs7z++ussLCxw7949ySSwHZFIRGp1AfT39/PBBx/8\nwn0ikQjRaPQXvvfLGI8rI1/CaCcAn0ci0MYHdOp1fFHxKNffRqNBMBSir6+P0dFRSR00GAzSbDY5\nffo0KpWKvr4+SqUSa2tr3Llzp0sQamNjA5PJxNWrVwEE9cjdXTY2Nrh48SLZbJadZJJqtcrG5iYX\nLlzoMnNLJpPEYjEcDgfxeFwC5pXLZQLBDcbGJ5DJZMSiW5hFLEAqtYNWt1+JODgJHuUcKzuYUAC5\n3V2GBoR+eatWlbZXKmXJm0UYpwNW9q0WAwP9ZDMZLOJkYXU4iYQ36BsYwunyEPKvc3x0jKBvFZvT\njVwup6+/X9Ko+PrXv04mkxHK7pUK/kAAh8PBhQsXhPNxu4nH48jlciYnJwVRrVpNqlbdunWrayW/\nsbGBVlTtDbZbaZUK8ViMW7dvd7fSFhcZHx+nVq8TCoX4+5+9gsPlxGK14l//Kf/o//h94Tw7cDcb\nQT9Oh50BEV+gkCkP3dOyA1WQZr3O2dOnWQsG6B0SdEVKxQIm8wHBOgRMj8XcQz63h9HUc+hvjXr1\n0HsatRqVcgmNRkjS7Nb98WjW2w/sFsdHRlh9uMT//a0/IJPJEAgESKfTxGOxQy3JlZUVTk5PU63V\n8Pv91Ot1dnd3KeTz3OrAQIHQ6lAqlVK1qlar0RTbaTdv3uw61nv37gkssXSa7UQCAJvdjgy6Kltt\nl2avx0MsFmNzc5ORkRHy+Tw2m00CfjcaDba2tlj3+XC5XAQCAVwuFx6Ph+3tbYZFunebQh7Z2iIQ\nDOLxeIhEIoyMjDA4NMTa2hpTU1O43G7S6TQBv5+9vT22IhEGBweRyWR4vYIC78OlJS5cuIBWqyUY\nDJLNZlGrVBw7dkyiF3c+RyuVCmq1GqVSyblz5yScR2f8ss/Fx2DY/fg8FFjT6TS///u/z8bGBsPD\nw/zVX/3Vka21T8Po/Omf/in/+T//ZxQKBS+++CJ/8id/8qnf+TgZOSI+y2SkExjaqdfxmzyGzjiK\nudNqtdjb28O3vo5KpWJ3dxeDwUBvby+ffPIJMzMzWCwWgV4bDEoKq8PDw9LnWCwW5ufmeOKJJ5DL\n5cI+1SqRrS0qlQpP37kjrRrb6qA3btwgk8lI/fvNzU0G+vslijAIuJD19XX6+/uZX1rBYhAmrnh4\ni5lLgmprIh5jaHT6yPOFfbxHZxy1GqdDuEyrVkrW9LupHSaOD0u72ex2yYfiGwAAIABJREFU8ru7\nGNuTaLOO3eEkEAxJyYjBYGQrFAIEoG1NVBVVKpX0Dgzwv/72h1jNAlbIZrPRarWw2WwYjUaWlpYk\nsG84HJaUPFutluQ7YzAYBHv6QICXXnqJ7e1tSdo9FArR29vbNY7JZJKdnR2evHaNeDxOs9GgWBLk\n0T0eD8lkEovVSjqdxmy2cmxsDACPyyWNidHQI45dk3J+j7En9/UuOiXYQXAI7jF1JxlKuRy1Wo1B\nraKQ28Ng6iGXzTDQP8DBaDYa9B0bZsW33pWM5Pd2sTsc7CSThyos9XqNbHKb8dET4rjv/9ZMZiFx\nVSiUHDt+nFd++mMWFhawWq3U63XcbjczMzPkcjk2RAG+NXFiHxsbk8YgkUigkMsZGxuT2C61Wo1A\nIMDNW7e62jVbW1vk83m0Wi0+n0/yDyqXy5wVdXPaEQgEJMn4NrbK6XQSi8W4fv16F2j0gw8+kJ4l\ni4uLaLVa+vv7Se3scOv2belYs9ksb7z+OlabDZVSSWpnh8mpKfQGA8lkkmeeeQaZTEapVGJjYwO/\n34/JZKJUKqERlXxbrRa1ep2vfOUrkjZLu/rRYzbTYzZjs9mwWq1CW8ft7qICt3VL2uaav8h0tK+v\nj3A4LL0Oh8P09/d/6j5bW1v09/dLOkaf9t4vY3weOiPf/e53uXv3Ln/0R3/En/zJn/Dd736X7373\nu137fBpG54033uCHP/wh8/PzqFQqksnkL/zOx8nI5xiNRkPyuumsQHwR0W7LVKvVQ22ZWCyGQqmU\nVlm7u7vMzs6SSaexixWKNr02EokwNT2N0+mkXC4TCoWIxWLsZrOSwqparWZQpDSePnNmnwlQLhOL\nRslks1wRqY7tEvD8/DxXr16VlEnb6qCA5DRbBwySY2xTAhHKZd10woPtryPXWkeqw++XOycmp3jo\n38DZ249c1l1t8Xi8LC2vYjSbqZRL6PXCpHJQQ6MTmFkXqylqrZaenh42fcvcuH4Nm80mPeRjsRj5\nXA67w0GpVBJEq4aGmJubY2ZmBpPJxHYiQTwWIxqNUiwWGRsfFxKc3l6pzXD9+nUajYag0FmrEd7a\notlocObsWUwmEyaTSag61Wq8+OKLIu24yccffcwrr76G0+ViZGyc1aVFjnWAUuViwrHhW2Vw4EAC\ncWCQUzvbeE4daNuISeGxY8eYn5/HYJqGZuvI30VDFDVrHCjj53N7jB0TqNGJRAxXhzT/sZExPnj3\nbcZHBfGzHrOVeCyGx+vFYrWxm80yfGKEeCTMiZFR3njjTW7euI7eYCCfzzMvMrocIvjzzp07tFot\nKSEMb23RqNd54skn0ev1WCwW6vU6C/PzPH3nDjs7O2xvb0sMGa/Hw3QHJqdcLrO8vMzQ0FCX7H46\nnWZqaqrLCDGXy7G8vIzT4ZCSHmGcZYcYVbFYjAcPHuCw21ldXZXE8sLhMBc6GFWNRoPFhQVKpRJm\ni0Wihvf29pLNZrl06ZLUFk0kEqwsL0utnbW1NcbGxhgcHOTB7Cw3bt5Ep9Oxt7fHhx98gMlkYmBg\nQGLaVatV9G1XZREM/4Mf/IB0On3oWnfGzMwMPp9PSqj/5//8n/yP//E/uvZ56aWX+N73vsc3vvEN\n7t27h8Viwe12Y7fbf+F7v4zxeeiM/PCHP+Stt94C4Fvf+ha3bt06lIx8Gr7nz/7sz/i3//bfSvNM\nuxX5afE4GTkiPouqxFEViN/0MbSjnRS15eU72zJ+v19yH00mk0xMTJBMJrFarVIZtVKpsLa2Rjgc\nxm63S31irVZLtVplaGiI3qtXhcQmGmU7mSSRSGC322k0BEZFX18fy8vLjI6N4Xa7Se3sEAgESKVS\nbG9vS8A9EG7cxcVFpqen0ev10sNYLldgswvA2Waro1VyYGgPOsXKZYcnu6MFufb1LuRyObKG8GCV\nHeGnohJRrHuZNFMnhEmkfkC+vMX++9rHoFZrcHt6qTebEs7A7XZTLpfp7++XLOeTySTLy8tEIhEc\nDgfJ7W16enpwezysrKxI49hmVKTFcn8bsNiWll9YWODs2bOSFkkoFCIYDNJjMmEwGllZWSGXy5HP\n5djc3GRsahKH3SGAhXe2GTwmnFt4c4Mes5VkPEqv100mneoeD9WBit8Rt3tnherYseNEo+EjvWpg\n/wGrViuF1ouoG9MWO9NqtYdAyFqtllYHFqjHbCYSDuPxerHZHSwvLjB58hT1Wp2xsQl+vp1AqVKh\nVqsljMP777+PQqHAaDRKdNyhoaEu2f1EPE48FiOTzRKNRjklOk23KbFLi4tSYh8U25epVIpUOs0L\nL7zQlXwtLS4yPjZGoVAgm80KoOVUCovV2sWoArh//75UoWxjsQCMRiNXrlzZHzuRmdbX10c8Hicc\nDqPRaNBoNFhtNs6IxwlC9eT1117D4/WyEQrRbDaZnJqiWCwyMDgo3Y/thYd/fR23x8Pa2hqDg4NU\nq1VGRkYwm82SMV9dZKMlk0n+/b//91y8eJG1tTXK5TLvvPPOkde7HUqlku9973s8++yzNBoN/vAP\n/5DJyUn+/M//HIDvfOc7vPDCC/z4xz9mZGQEg8HAf/tv/+1T3/tlj8YjAKxzhRxzxdyv9ZmJRELS\n23G73STEVmJnfBq+x+fz8fbbb/Pv/t2/Q6vV8p/+03/qwlwdFY+TkY7oxIw0m79ettmpHWIymQ4Z\nff2m41Ftmd3dXdKZDCdGRqREqVwu8+orr0gT2oMHD6TkRC6X87So/dFqtYhGo6wsL2Oz2ymXyygU\nCtxuNzWR0dGWik+nUvjW1lj3+7GLAkputxu7w8Hu3h5ul4uLFy9SLBYJhULC/4NBnC4XVqsVpVKJ\nwWDgL/7yLxkaPkarBemdHcwdLQC57EAlRCanVq2STcYpF/Ls7mZw9A10CaE1jyiN6LTdwmiS3sgR\n94KkjdFBIz7Yu1V2KJQaRKM5s9VGIhalx2Lj5MmT7O7u8tqrr+JwOqlUKuzt7TExMSGBIe+Iuh3t\n8fGJdM9qtYrZbMZoNJLJZLBYLJw/f16qdBXyeYKhEC6Xi3A4jFarxS7qlly4cEFK/ILBIOlUilwu\nz046w6kz59DoDaw+XMJhd0hYmdxuDp3JQqNcwDk0QC7XrRB8UMdFrTzcjuxMEk0mI5XAOiiPLtu3\n2UmjY+Os+vx4h46JY7yfhDaq3biRTGqH/n5v1zZNR6um/W+NTktvbx+xWIT/8mf/hW9+61sszC+g\nVCmZnpqScDD1ep3NzU2BYmu3SxRbj9dLNBrF3Gpx4cIFSXa/Vq2y5vPhdDoxGo2o1WpsNhtbW1uo\nNRpmLl4kEolQqVSoVqusrKxw+fJlPN79Y25jrlQqldR2ayvs3rlzp6vNEQwGqYsCg23QcqPRoFqr\n8eSTT3bp/zx8+JBKpYJGre6iKm9sbHS1dprNJu/9/OeYLRbJOdtqtUoeUW37AhCSo/6+PglU25aR\nNxqNyOVyQfH1wgVefvll5ubmqFQqbG5ucvXqVb75zW8yJrYCD8bzzz/P888/37XtO9/5Ttfr733v\ne7/0e7/s0XrEXHVaZ+B0B5buB8lo19/v3r1LPB4/9L7/+B//Y9frR2nDfNoCu16vC4rG9+7x0Ucf\n8Xu/93sEAoFPPY/HychnGL9IO+RXif/dysijkqL2ZFUslWiKctHt/nQikeDpO3e6tD/efust7A4H\nClH7w+0WwJfZTIbbHUJKmUyGV195BbvdjkqtZn19nZGREWr1OvVGg+eee07qT4eCQVZWVzGbzeh1\nOnr7+iSac6VS4YUXXxSky6PRfZprowmtFhqdjkJ+t4utUj8AKI3HotSLe5wVKzvrqysUElvkNDoc\nHqGHfFRp82ACau4xUSrmjxTlqpXKAk27sL/yMJt7KBYK6EUqs85opFgsotfr6bHZSSbiON0eIqEA\nDpeHH//07+nv9XK9QwK+Uqnw1ptvYrZYUKvVzM3NSav2vd1dbt++jVKplK7j8vKypLIaCoUYHh5G\no9GQyWQkufh2qyEYDNLf3y8pcgaDQQYGB2m2WiiVSk6dOYPOYECl06NWyimW9ys9LZpsBXxcvHgR\nAPmBVtjB1thRSbjqQDXq5KnTvPH664yOT3RtLxeLHe04usCqrXoHg0ohE5hSamGCLuZzuNweySQP\nunEjbUaV2SaI8A0ODXHpyhUCgQATExOcOnWSnZ0d1n0+ymJ7SCaTSVohzWaTSCRCIBBAqVRiMpnI\nZDISlXV+fp67d++iUqmIRqNUymXCW4Ji7YkTJ1CpVFIrY2lpia9+9atkRQBt2yTSYDBw5coV6XdV\nKpVYXVnh5s2bxGIxCbS8EQpx5swZSfAMhNZOwO/H7XYT3tykVq8L/jd7e4xPTHS1dnZ3d1lbW5Na\nG7VaDbVaTa1aZfrkyUMKwQsLC9htNh4+fEij0cBkMjExPo5Op5NwcfV6XUpEQPAqevfdd/nKV77C\nK6+8Qjqd5oMPPuDevXvkcr/eiv1xHI5fFzPyyiuvPPJvbhEw7xGB023Np874NHxPf38/v/u7vwvA\nxYsXkcvlpFIpiRJ+VDxORo6IXzUR+G3TDmk0GuTzeclbpv1waFNxBwYHu1Zja2trpFIpTEajsMKq\n1aSy/qXLl7uAdp988gkqlUoSMdNoNHi9XsLhMNdv3JBWbqVSiTfffFMyIVtYWGBqaop6vc7e3h5P\nPfUUarWaZrNJNBpldXUVnU6HTqcjmUwKPh8GA6l0mqfv3OH//eu/oVIu4HR5WF2Y7Zr8OuWQd+JR\nzHqllIiAkCROTp8kkUiwEw1j9/bTOAKBfnCF0T8wxOKqj9oRmiTHx8eJ7WzTiY0dPn6C1bU1Bo8L\nOAun28PKwgKj06cxW6ysLc7hdHtQqFQYTSYy2zFMRmOXBHwoFOL8hQuSX0qr1WJ+fp5qtYrJZGJ5\neRmz2czg4CCJREKicILgZfPez38uaMaIGhdyuRy73U6xWOxidHz88cf0mC3s7u6SyxfQGfTYHU5K\npRK5XI6zZ8+ytu6X9t/a3OCFFwUti3K5jEq1v0Lf29tDo+2mUx9FWz/orCyXy1ErFZSLxS46djqV\n5NjQsPRapZBTrZRRqTXUOlhOY+MTrAeC9A0K+zZqFTzeYzxcesi4yNByON0E1n0cHxnF5fbiW11h\ndHyCtcgWDoeT8xcu8mD2E7LZLAF/gEKxwMTEBCsrKxgNBmQyGcvLy9Trdaampshms5w+dUrSUEkm\nk8zNzZFOpXC6XBLbpa+vj+WHDzl16hQ2m429vT2pCpVKp/GK3kx2hwO7w8HS0hIXL17EYDBIqrup\nVIrk9jZPXrsm4asAFhcXuXb9OoVCQaqepFIpatVql/syCHo0g0NDElW5Xq+TSqXweDxSYtl5T1gt\nFlI7O1LiYzAI1gvtNlCr1RISHpdLSkRKpRLNZlPaF4T2zze/+U2+/e1v84//8T9GJpNht9t54YUX\neEE0IHwcn018HgqsL730Et///vf54z/+Y77//e/zta997dA+n4bv+drXvsbrr7/OzZs3JdXuT0tE\n4HEy8sj4ZZORX0U75FeJX7cyUqlUKBaL6ERaZ/tzstksmWwWU0+PJGBWq9XIZrOcOXMGcwe9MhwO\nk8lkMJlMbIXDVGs1tBoNuXye0dHRLsaAz+djdXUVk8nE+vq69NBeXl5mZmZGeoA2m00++ugjFAoF\nBoOBlZUVvF4vdrudZDLJlStXJHG0dCrF22+9JbRojEbm5uaoNxoYjGb2drMMDPSTy+3jOxTiKjib\nTiKrlRga2l8twv7qWED6R9hcX8PV28vBOKrcWSsWukr97dDr9bRq8UOeKI0O8bPOdl+1UmYnHsOo\n0xDdCnP77nMsfPyhpFqay+VYXFjA7XZLXiMmk4lyuYzH45H6tyDouLz77rs4nU42QiHqjQbT09Ns\nhEKMj49j7xCkW/f52NnZwSg6xTYbDTbDYU6cGMHr9fLyyz/iyWvXuffBBzw5OcUbb77J+TNnhOqC\nWH2KbG0y0SGIte7zMTo5JX1HOBRi8uSprnE4yGAKhzdw2rofRm158Xhkk+HR/epIs9Gtrjo6Ns6K\nz4/GYGTo2HDXZzTFqkmr1aJeqwmKq5r9CoxWp6PZBg9rNMhlLXG7HqfbzcrSNhOTk2RSKTY3N3C6\nXPjW1pDLZBiMRkmDpFKp8O477+ByuYhEo4S3tiSBOpPJxJkzAli3WCyyEQqxvr6OVWzR6PV6enp6\nyOfzWG02LszMSKaFbcVTm81GsVjEYrEwODjI1tYWbre7yw24VquxurrK8NAQPT090u8wHA6j1+ux\n2+1Cu0j0l1pZWeHOnTtdlMyNjQ0paWhrBVWrVZLJJNevX+9qA21sbEgt3tXVVanNMzIyIrVh2iq8\nBjFxAwFQ+wd/8Af8h//wH3j22Wd5HJ9vfB4A1n/zb/4Nv/d7v8d//a//VaL2AkSjUf7ZP/tnvPzy\ny5+K0fn2t7/Nt7/9bU6dOoVareYv/uIvfuF3Pk5GOqLTP+GXid8m7ZBPa8vMzc1hMBo5ceKEtH8q\nlSIcDjMxMSFpXdRqNeLxOGfOnOHUqVNd+25tbYkMhgThcJhmo0EL8Hq9XXLk29vbzN6/j81ul0zI\n+vr6iEajjIyMdGXHa2tr+P1+rFYrwWAQtVrN2NgYW5EIJ8UVJcDf/ehlTCYjcrmCwm6G8bERipVN\n6XOUShXFYp5COolSLpdAru3QdWBFenv7+OTjDxka7lZkBSgWD9vbtxo1yuWjf+yNahndAQO+g/ol\nCoWQDG76lhkdGWZiahqlHELrPpweD3/3ox9hMZvxejyHrOHv3buHw+Fgb3eXHdHh1WqzUSmXu7Qo\nGo0Gb775pkDvTKeJi+DGSqXCyIkTUnJSKpVYW11jevok8ViM5YdLPPf8C/z93/+U20/fJZNJ43G5\nMFutLCwscGJiinR6B0WzgaqjciGXK7qSBcUBc7Rms4nsQFKez+4xPNg95tlshr7+fvK5HHu7WXpE\nmf9W64i2WLmETC7H3Ovu2l6pCO2yZCLGhPggPEif75xgNRodkfAm5VKRe++9g81qx+12o5DLUSrk\n6HV6avU64+OCq69vbY3NcBiDwdBVdWi1Wrz33nsYDAY0Gg3z8/P09fVhNptJpdNS660tA7/m86HR\naCRA9vDwMG63m/n5eZ566ilUKpVkWri5uYlCLsdqtdJsNnE6nVjFa/LCCy9Ifk21Wo3w5iYt4Ny5\ncxgMBgwGA/V6nfn5eb7+9a+TSCRIp1JUxX2tViszHRWRarXKogi4bWvX1KpVtiIRzp45w9CQcM3a\nTLg2c6LZbFIsFpHL5V3KzWtra3znO9/hT//0Tw8BcB/H5xOfB7XXZrPx6quvHtre29vLyy+/LL1+\nFEZHpVLxgx/84Ff6zsfJyBHxi6oSv652yK96DL8siLbdllEoFJjNZunB0H4AjY6Nkc/nCQQC1Ot1\nQsEgRpOJJ8TJz+VySSJm58+fZ29vj2wmQ7VaJRqLMTExIa38QJjUlpeXsdls5Pb22NnZkfxs3G43\nly5f7tr3wewsTpeLHbH8q9NqqdXr9PT0dIHYdnZ2pBV/mwUwODhIYCPMxctXaMkUlAo5tjY3MXVo\nT6jUaiL+VS5fusTc/U+68Ar1ep3WgSSxv7eP9cVZTl58UtrWarWOvI5j4xOsrTw8ctwjmyGevvtM\n17ZqpRtUaTAaBazFzHk2QkEAJqameO2nP0FjNJNIxDh/7hz1ep11n09SWZUhlEE7z2V5eZlcLoda\nrZa0KDQaDeVymdsdIEQQVFb7+/spFovkQiHy+Ty5XA6v14tSqUChkHP67DkePlzixIkRlEol7779\nFl95SSjHylpQLBTIp1M0mw2OjewzMA5qiihV3a83N0K43Z6ubSrV4UdNIZ9jaGgYq83GwsLifjJy\nBEbHYjYRi2/Die6q1/j4JJFYhFpl3+DR6dpvzQDYHU7C4Q08Hi+ZVBKdTsvZM2dYW1lGq9WyMDeL\nxWajv7eXbCbDsWPHWH64TKVakQS6Wq0WvrU1AQMlskWmp6e7qg6hUIiVlRUcosNvO7nOZLOcPHlS\nSq7z+TxLi4tSO3J5eZmJiQksFgvRSERq7bQp3+lUiu1kUmChpVK43W6GhoZ4+PAhZ0Sm1Pb2NoFA\ngKxouDcyOopCoZDYMEuLi1yYmRH8pMTqSSqVIh6L8dzzz6MVdUVAUDq+cOGCZLiXzWZx2O1diUh7\nEdauvoLQwv3X//pf84Mf/KBLkflxfL7RqD9WYP3/Zfw2aYfAo9sy6XSa+fl5ToyMSFgMu93O7P37\nXBYBcqFgkHq9TjweJ5fP8+yzz0oiXG3tjwsXLkjCY9VqVaDsdig/gvBwmpubwyau2tug2HK5jNVq\n7Vrxt2W0HQ4HhUKBpaUl6vU6apUKrVbbteIvlUr8/N13qVWrTE5P895795ienmBrM8yIVwBKlctl\nNkMBromKrwdzyFAwwMCBFXmPycSJkVFS23FsLmHSzO/tdmlWtKNYyGPvAP51xtjYOOVSEZVqv8XV\nNzBAJpXCKlaAdAYj0eA6cvkkvX2C18vYxCSuXi/hzTB2pwuv1yvdRxsbG5JPUFs4rlarkUwmuXTp\nkoQlAaE8n8vlMPf0SOqghUKBRCLBM888I7EpUqkUtVpN8qGZnZ2lWCjQY7agVqkYGBxieXGBqanp\n/US2USe+tcmpU6dYXFzsSooUiu7HhvyACWHbsK57n8NVw06sj9vjIrOzg9XhoFk/nIwMDA6xsnw4\nKVSr1dTKpa4ERq/XU6/s43wMJhORcBj/qsBe8a2uAoLpYaVa5szZs6R2kiwtLtLr9fLzn79Lf38/\nVqtVuL82Njh95gx2u12qJFitVnaSSSKRCK1mE7PFQqNe58kn9xPccrksOPx6vVJyffz4can10a60\ntMHIK8vL2B0OIpEI+XyewcFBQSTOaOSuyE5rCw+ur69js1qJRaNYLBZcLpdkUndeNLxrV0/86+tY\nrFaJsmw0GiWq5uXLlwU/G1GDaH19nRPHj0veU7u7u+h1Oqld1X7+tanC7Xjttdf47ne/y9/8zd/Q\n17fvGfQ4Pv9ofEnUaB8nI0fEoyoj/7vaIZ/FMbSjrWhYr9cPtWW2trbQaLXcvHWL3d1dgsEgye1t\ntpNJSRMAwGQyCToH4qqs3VbZ2dkhHovxzLPPotfrpRXTkqj90QaxVUXBpkq5zI2bN7vwMkuLixIC\n2ycCmLK7uxgNBi5dutSVxM3Pz6PWaGiBhOyPRqMYjUaSqTQOt/A56Z1trNYn2AhtSO9dXpjH47BJ\nwmNG4wFfmkr5kOqjXCHDZrexsTGL1SmYjZUKeYaHjlACrdegcYRaK6BUyNnLZjD17CcjDqeTYCAI\nYjJSLRUwihOzRqOhKk6SRoORF154kZ/+5Cd8//s/4NqTV1n3+zEaDFx94gnpemYyGSKRCOfOnZMq\nSzVRSv/8uXNMTe1jN5LJJDKZjKmpKeLxOI1Gg6TY3rHb7QT8fnL5PHqdnrNnz9FsNtnc2kK2ucHg\n4CAVMQmIRiNkReAwgOoAM0ah+nTmjOoI3FQnzXR/bPdZUC6ni7m5ecEN+YjE5ajjaEelVDrE1DF2\nJG0AlUpJ6mfbHQ6S24Ij8drKMhOTk6R2kjx95w6z9+9z585dQsEAlUqF8fFxms0m4c1NQhsb5MWk\nvfOc19fXyeVyaDQaVlZWqFQqksPutQ4cRqvVYvb+feQKhVCRWVjAYDAwPDxMPB6XvKBAAAW//957\nqNRqdDodC/PzTE5NYTabCQaDXL9+Ha1WK5nobW5uQquFqadHqrgMDAwwOzvLzVu30Gq1bIsMqoio\nb9PX398l7z47O8udO3eE6mkoxPb2NkODg1IiUq/XKRaLknll+5z++q//mr/8y7/kRz/6URcL53H8\nZuJz6NJ8IfE4GemITsxIZyLw26YdUq/XyefzKJXKrrZMpVoVVBPFFojD4cBsNrO9vY3H6+XS5cvS\niimXyxHe3JT60UqlkqGhIfx+P/19fdKKKR6LkS8UCAaDnDt3bp/i5XYL+/b3d5ncFUVp6bt370ru\npCCYvvWbTCgVCklhdXd3l1QqxZ0O07fOigyALxBkZGSMpYVFXC4BL1Ap7yud1ioFTl/dF3ySHfSl\nkR+eGNuJ0JmzZ1ha8dE7PAKPEt9qNjH3mI70SGk2atA8YsXf6KCiVquYe/ZpqnLxeNQaDfV6HbvV\nQjCbpd5oSPLcUZHSvLm5SbVS4crVq5hF2e1OldW9vT0pKYzFYgDcvHkTuVyOXq8nGo3idrkYFPv+\nzWaTpaUlxsbH2dvd5Z133uHCzAwut5sHDx5w8vQZNkNBAn4/Tz19Z38MO9pXmXQanaGDdttooDiQ\naCiO+H0olIevw0FK9vETx7n/yYc8IVa5OiObzXDq5EnWlpcZOyBkZbVZyO9265709Q+wKu5bKZfR\n63SEAgFOnT6NzW5naWEep8uNy+NlY2OD4ydGePjwIWfPnWN29j5nzpylUqmwtLSEWq2mUCgwNTWF\nQ6xclEolqpUKkUiEmYsXu2izhUKBhfl5XG631BJp39/9AwNdNMl0Os0777yD1+uV3IAnJiaIx+Oc\nGBmR9m02m2xsbLARCuFyu1lbW5PUU8vlMqMjI7hEkHMb6xIKhXB7PKyvrwt+My4Xfr+fkdFRPB4P\npVKJzc1NSsUi634/Xq9XesYVCgVGTpzo0hBpswU7Fz7/H3tvFttYft/5frhJXERRIkVSC7Xva6mW\n7urdXW27u70mk2V858ETJAPMBJMYCHAB5y03mcEAngB3cDE3QTCPDgIE43kZZHHiuNvudlfvVaWN\nWihxESWS4iKS4r6T9+Hw/ItHKmeS3Njd9uj30mjqFJdDnvP//X/f7U/+5E947733+Mu//EuF6u66\nfnp1PRn536T+Ob1D/jH1pMnIZQlx544rnU6Tz+dZbeeRFItFAoEAHo8Hqxzp7XKh1+vRarXou7v5\nwhe/KFj9pVIJr9dLr9nM/MKC2DFFIhHq9Tq/8Au/II2I2+mxh4fxvWiTAAAgAElEQVSHjLpcQkJr\nsViIRqO0gNdff10QYqvVKoceD7fv3FG49QWDQbq7ulhbWyMWjVKr14nHYpRKJRwOB5FwmO+/8SY9\nlj5Wb6zzd3/zXT732uuAlA0DkIhGsFqUOzG1+u/3vwBQte1B1Wo11CvU6zWhuLhczWaDkdEpPF7f\n1Wak3qD5hBuBbNiVPk8wPDxELnMh/tZrkZ5jxDXKxoOPcAwO4vP7CQSD7ddrMjMzw/7+vjAnk3Nn\nku0wN1n6K0M2e7u7rK2u0mM2Ew6HqVWrRCIRVGo1fX19uN1uWq0WAb+f6elpvF4pJ2X91i2xgBmM\nJtzbW4yOjuIaHRUNbiqVpKfD8yMSiTC3JMlmk8lzDnbdDA4OcuL3Sv9GpSabzSjOR7VaVUiBxXm6\nBMeYe3qol4tP/B7yuSxTExMCIlU8T6UqJmNyabVadO204fBpkJWVFQHPADicgyQTCWx2O/GzCDqd\njqHhYfwBP+s3b3Gwv4fF0getFvV6HZPJRDQapaurC5fLJaDJp55+mlw2SyqVkqZ/FxfYbDaeudRQ\nPXr0iN7eXomMfH4u5PP5fF4huW61Wrzzox8xYLeTSqWIxWKYzWYsFgulYlFBos1kMvzgBz9gwGaj\nWqkQi8VYXllBo9FQqVT4XNtnplarEQ6FOGpf3/l8Hp1OJ5J7fRcXQm4bj8fZ3t5mZXlZqHUqlQqV\nSgWTySSup2azyX/8j/+RVCrFd77znU98g/a/c11PRn6OSyaPlsvlT413iAzLNBoNhYRYhmXSFxeo\ngHyhwFzbXjqbzfLqq6+iVqsFGc7j8QjvD9mQy2g0CpMsjUYjpIR+n49uvV40Ef39/ajVaoLBIK+/\n/jq1diib/F+dVssLL74opixyWu+XvvxlkY5ar9UIHB9jNBpZWlrCYDAwOjbG3u4uk1NTQsK6ubGB\npd9Kb58EgVit/aIRVKmlvIv8RQqT2aQ4T5ebRbXm6nem69jpr66t4d73oPkxTaYs1a1fykhpNpu0\nmk3sDodCCQJgNJkoFvKUchdMjSxQq1Yol8uSC+qAA7/Px9T0NP19/UxNzxD0+3jv/Q+Yn50l2zaj\nMhoMBINBHA4HTqeTXC6H0+kUycdyEu/R4SGTU1NCMTM6Oorf7xe7X7m2trZ49bXXBAyws7MjxvPf\n/e53mZqYYHV1FY1Gw0XmcTMRDodZXH6srLpIpzjxe6lWy7hGRhgZdLLYARUBeA6q+A7c6LoMDI64\n8Hu9LC4ppxm5bFYhJ5drcmKCoN/H5Mys4vF6223V7nAQCZ0y3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KnZbPLhhx/S3dWFoU2K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\nxeOPP35d7H0YuMejpqaG3/72tzzyyCN8r79f0v79+/n3v//N977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YsWPKPonjx49z4sQJ\n7rzzTqBv1uTreHl58fe//31oL2aYGI1Gurq6ADAYDHz22WdMmzbNzaMSQoihJcs0YsjU1dURGBjI\n3LlzARg/fjwnTpxg1qxZbN++ndzcXDZv3kxgYCDr1q1j3LhxREZGsnv3bhYsWMCMGTOAvlkTZ6Hy\nVRtfvby8CA0NpaWlhfDw8OG7wCHQ1NTE8uXLgb4ut/feey8LFy5086iEEGJoSTEirjmj0cixY8co\nLCwkOTkZgJaWFnx8fCgqKsJkMrF3717i4+PJz8/H09OTI0eOoNPpADh16hR//OMfldf7umPANpuN\nwMBAOjo6KCgo4I477hj6CxxCiYmJFBYWunsYQggxrGSZRlxzJpOJkydP8sUXX3D06FEaGxvx8/Pj\n7NmzBAUF4evri1arZfbs2SxevJjk5GTeeOMNVCoVZ86cwcfHh6CgIOX1jEYj//znP6mtraW7u9vl\nazn3mlRVVY36WREhhLheSTEirjmtVsujjz6KXq9n69atBAUF4e/vT1pamjJr4uXlxYULF4C+mY+4\nuDgAjh07xpQpU5TX+uCDD3jooYeIjo6mtLSULVu20Nvbi81mw2QyoVKpsFqtxMXF0dPT45brFSPX\n+++/z5QpU/Dw8KCgoMDlY8899xxJSUlMnjyZzz77zE0jFEKALNOIIeBwOLDb7Xh4eChLLwDr16/n\nwoULdHR0sGLFCj777DNeffVVQkNDlaOrZWVlpKWlAZCTk8O+fftYvHix8lhRURGbNm3iF7/4BVqt\nFl9fX7q6ulCr1WPuVI347qZNm0Z2djYPPvigy+OnT59m165dnD59mrq6OubPn49erx90vFwIMTyk\nGBHXnEqlwsPD4ys/FhwcTHBwMImJicyYMQODwYDVakWj0QB9fVm0Wi0APT09REVFsXjxYqCvyDl8\n+DA6nQ4/Pz/lc7q7u+nq6nLJMxECYPLkyV/5+L/+9S/uuecevLy8SEhIYMKECRw7dow5c+YM8wiF\nECDLNMINHA6HcjrG399fKSoA0tPTOXHiBAAZGRkYjUYKCwspLS3l1KlTlJWVsXHjRiIjI5XPqa6u\nxmKxMH78+OG9EDFq1dfXExsbq/w+NjaWuro6N45IiOubFCNi2KlUqsuejunq6lJmVfz9/dmwYQNJ\nSUn09vbS0NBASkoKer1eSXC12+18+eWXxMfHu9xcxMiyatUqdDqdS2ZKe3s7CxYsYOLEiSxcuFDZ\nQ3S1FixYwLRp0wb998knn1zV60i/JCHcR4oRMWLY7XZmzZpFdHQ0LS0tAKjVaqKiokhNTWXhwoVk\nZWUxZcoUPD37VhhLSkqoqKhg0aJFst4/gv3yl79k7969Lo89//zzLFiwAL1ez+23387zzz//rV57\n3759lJSUDPpv6dKll/2cmJgYamtrld+fP3+emJiYb/X1hRDfnfzrLUYMZzExfvx4vL29AdfutQ6H\nA29vb8LDw5V3scXFxUycOJGQkBDpdDuCZWZmEhIS4vLYxx9/zMqVKwFYuXIlH3300ZCOYeDPx7Jl\ny9i5cye9vb1UVlZy7tw5Zs+ePaRfXwhxebKBVYw4U6dOVX49cOp84K/tdjtZWVnExsaSmpo66ONi\n5GtqalJOW+l0uiE5DZWdnc3DDz9Ma2srP/jBD0hNTWXPnj2kpKRw9913k5KSgqenJ6+++qr8/Ajh\nRiqHvJ0UI8zXJa46NTU1cerUKW677Ta5iYwSVVVVLF26lJKSEgBCQkLo6OhQPh4aGkp7e7u7hieE\ncCOZGREjzpUUFzqdziXDRIw+Op2OxsZGIiMjaWhoICIiwt1DEkK4iewZEUK4xbJly9ixYwcAO3bs\n4Ic//KGbRySEcBdZphFCDLl77rmH3NxcWltb0el0bNy4kTvvvJO7776bmpoaEhIS2L17N8HBwe4e\nqhDCDaQYEUIIIYRbyTKNEEIIIdxKihEhhBBCuJUUI0IIIYRwKylGhBBCCOFWUowIIYQQwq2kGBFC\nCCGEW0kxIoQQQgi3kmJECCGEEG4lxYgQQggh3EqKESGEEEK4lRQjQgghhHArKUaEEEII4VZSjAgh\nhBDCraQYEUIIIYRbSTEihBBCCLf6P9jTNRacEm89AAAAAElFTkSuQmCC\n" } ], "prompt_number": 8 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Two-mode quadrature correlations" ] }, { "cell_type": "code", "collapsed": false, "input": [ "alpha = 1.0" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 9 }, { "cell_type": "code", "collapsed": false, "input": [ "psi = (tensor(coherent(N, alpha), basis(N, 0)) + tensor(basis(N, 0), coherent(N, -alpha))).unit() # superposition\n", "rho = (ket2dm(tensor(coherent(N, alpha), basis(N, 0))) + ket2dm(tensor(basis(N, 0), coherent(N, -alpha)))).unit() # mixture" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 10 }, { "cell_type": "code", "collapsed": false, "input": [ "p = TwoModeQuadratureCorrelation(psi)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 11 }, { "cell_type": "code", "collapsed": false, "input": [ "p.visualize();" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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Czp07C7kkIQWRj4TFL3uZUknYQCovCTuLsuQI2Ipy06nogUEdA4kkdCNli4JF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\nRBADAGAQQQwAgEH/Aqz8sXceY6aoAAAAAElFTkSuQmCC\n" } ], "prompt_number": 12 }, { "cell_type": "code", "collapsed": false, "input": [ "p = TwoModeQuadratureCorrelation(rho)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 13 }, { "cell_type": "code", "collapsed": false, "input": [ "p.visualize();" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stderr", "text": [ "/usr/local/lib/python2.7/dist-packages/numpy/ma/core.py:2641: ComplexWarning: Casting complex values to real discards the imaginary part\n", " _data = np.array(data, dtype=dtype, copy=copy, subok=True, ndmin=ndmin)\n" ] }, { "output_type": "display_data", "png": 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yySdTx8GImJA2pFoB13u9akRbq7vSgk91DHGRc5Zotpq0NaPjiYFlNTZudF0X69evx86d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\n" } ], "prompt_number": 14 }, { "cell_type": "code", "collapsed": false, "input": [ "fig, axes = subplots(1, 2, figsize=(12, 5))\n", "\n", "w0 = WignerDistribution(ptrace(rho, 0))\n", "w1 = WignerDistribution(ptrace(rho, 1))\n", "\n", "w0.visualize(fig=fig, ax=axes[0]);\n", "w1.visualize(fig=fig, ax=axes[1]);" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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boZWloA0DQEQrB4q2HzSc8zBQsMK0GVD6WzXGObyMuOV/hkW7opXyzFz1Wo7G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\nRK5CYII=\n" } ], "prompt_number": 15 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Marginal distribution" ] }, { "cell_type": "code", "collapsed": false, "input": [ "alpha = 2.0\n", "rho = (coherent(N, alpha) + coherent(N, -alpha)).unit()" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 16 }, { "cell_type": "code", "collapsed": false, "input": [ "w = WignerDistribution(rho)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 17 }, { "cell_type": "code", "collapsed": false, "input": [ "w.visualize();" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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Xv/hFIDGmamqCIAii6Zg7dy7279+Pvr4+DA8PY+PGjViyZIk0baVSsfyePn06du/ejePH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\nYII=\n" } ], "prompt_number": 18 }, { "cell_type": "code", "collapsed": false, "input": [ "wx = w.marginal(dim=0)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 19 }, { "cell_type": "code", "collapsed": false, "input": [ "fig, ax = wx.visualize();" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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3V/+1AwKAkBAgL0/91ybPYAAgKWQ1WwJsASDjkHkeARwHoHcMAKS6qioxCK9vXzmv362b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\n" } ], "prompt_number": 20 }, { "cell_type": "code", "collapsed": false, "input": [ "wy = w.marginal(dim=1)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 21 }, { "cell_type": "code", "collapsed": false, "input": [ "fig, ax = wy.visualize();" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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ERwN798p/PiK9kDRF8OWXX8bhw4fh7+8PABgzZgzi4uIwadIknDx5EuPGjcPE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\nEBEReaj/D2K8xZSsd7CMAAAAAElFTkSuQmCC\n" } ], "prompt_number": 22 }, { "cell_type": "code", "collapsed": false, "input": [ "wx = w.project(dim=1)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 23 }, { "cell_type": "code", "collapsed": false, "input": [ "fig, ax = wx.visualize();" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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4/XZYtgwqKqx5f5FwYOoc/R/+8AemTJlCcXExbrdbi+aIhIisLCNsIyOteX+n\n01hb3wYraYuELFPn6JvVsfuEw+HAbYOZNBq6F2mcPn3g5Zfhuuusq+H5541NbhYssK4GkWDUpGvd\nFxcX1/laXFycL3X5hYJexHdbthgz7XftsnYnueJiSEmBvXutG1kQCUZms8/UPys7hLmINK133oHb\nbrN+u9i4OOP26aeafS/iD6a/P2dnZ/Ppp59SWlrKmTNnvNvWLtKKFyJB6f33jUvr7OD22+HttxX0\nIv5g6rv8rFmzyMzM5MyZM/zjH/+gU6dOfPTRRzWWxBWR4LFrF7hcMHiw1ZUYbrsN3ntPi+eI+IOp\noH/11VdZsWIFf/rTn2jRogUvvPACy5Yto6ioyN/1iYgfZGfD6NH2OSceHw9du8LatVZXIhJ6TAX9\n0aNH6dOnDwDNmzenoqKCAQMG8Omnn/q1OBHxj/feg/R0q6uo6bbbjOF7EWlapoK+Z8+ebNmyBYDe\nvXvz8ssvs2jRIjp06ODX4kSk6ZWWwoYNMGyY1ZXUlJ5uLJ6jC2hEmpapgbsnn3ySQ4cOAfDUU09x\n1113ceLECV566SW/FiciTe/DD+HGG8GirSnq1Lu38efmzcb1/SLSNExdR293uo5exLwxY2DsWJgw\nwepKzvfgg3DJJfDYY1ZXImJ/TbJgzvfff9/gD+jevbtvlfmBgl7EnLIy6NLFWKTGjmfeVq6E//kf\nWLfO6kpE7K9JFsyJi4ur9wfZZQlcETFnxQpITrZnyANcfz189x3s22d8IRGRC1fvZLx+/fqRkJDA\nk08+SXFxMZWVlVRUVHhv5eXlgapTRJpATg6MGmV1FXVr3tzYLvef/7S6EpHQUW/Qf/XVV7z11lv8\n8MMPDB48mJEjR5KVlUVlZSWRkZFE2uUiXBFpkMdjBP3IkVZXUr+0NPjgA6urEAkdpifjud1uVqxY\nwRtvvMHy5cv55JNPuOqqq/xdnyk6Ry/SsE2bjEvYtm+HH1ewtqUffjDWvt+/335XBojYidnsM72d\nRWFhIatXr+azzz6jf//+Wv5WJMhU9+btHPJgzB+46ir4+GOrKxEJDfUGfWlpKfPmzWPAgAGkp6fT\npk0b1qxZw6pVq+jZs2egahSRJhAMw/bVRo82Fs8RkQtX79B9ixYt6NmzJ3fffTfXXHONccA53YGh\nQ4f6t0ITNHQvUr8jR6B79+AZDt+2DUaMMDbfsfsIhIhVmuQ6+urL6+pjh41tFPQi9XvrLVi4MHhm\ns3s80LPBkz22AAAZN0lEQVSn0au/4gqrqxGxpya5jr64uLip6hERC/3zn8EzbA9GL37kSON0g4Je\n5MKYnownIsHpzBlYvjy4gh7g5puNukXkwijoRULchg3QsSNceqnVlfjm5z+HL76Ao0etrkQkuCno\nRUJcMM22P1ubNjB4sLH+vYg0noJeJMQFa9DDT+fpRaTxtE2tSAg7eBASEuDAAWMd+WBTWAj/9V9Q\nUqLL7ETO1eQr412o3NxcEhMTSUhIYM6cOee9/u233zJo0CBatmzJc88959OxIlK7jz6CoUODM+TB\n+JLSpg18843VlYgEr4AEvdvtZurUqeTm5rJ161aWLl3Ktm3barTp2LEjc+fO5ZFHHvH5WBGpXbBd\nVlcbDd+LXJiABH1BQQHx8fHExcURFRXFuHHjyM7OrtEmOjqa5ORkoqKifD5WRM5XVQV5ecEf9LrM\nTuTCBGSf2ZKSEmJjY72PnU4n69evb9JjZ86c6b2fmppKampqo+sVCQXr1xvL3nbrZnUlF+a//gvu\nuAMOH4b27a2uRsQ6+fn55Ofn+3xcQIK+oWV0m+LYs4NeJJRs2GCsT5+U5NtxwTzb/mytWsH11xuj\nE//3/5o/zuOBzz6DmBhj21uRYHduJ3bWrFmmjgvI0H1MTAwul8v72OVy4XQ6/X6sSCi4+2647jrI\nyPDtuFAJevB9+L6qClJSjF3wZszwX10iwSAgQZ+cnExhYSHFxcVUVFSQlZVFWlparW3PvVTAl2NF\nQk1hobHz3I4dkJUFlZXmjispge+/h4ED/VtfoFQH/Zkz5tpv3gwnTxqz9XNyjOAXCVcBGbqPjIxk\n3rx5jBgxArfbTUZGBklJScyfPx+AzMxM9u3bR0pKCseOHaNZs2a8+OKLbN26lbZt29Z6rEg4yM42\neqXt2hlL2G7cCFdf3fBxubkwfDhEBuRfuP/17AkdOhinMZKTG26/fj1ccw3ExkKPHrB2rXGuXyQc\nacEcERu7/nr4/e/hllvgvvvgqqvggQcaPu622yA9HSZM8H+NgfK73xlfeB5/vOG2kybBgAHwq1/B\nrFnGevnPP+//GkUCyXYL5oiIbw4dMoaeb7jBeDxggNFTbUhFBXz8Mdx0k3/rC7SbbzZ/Pf369cbn\nBXDrrfDBB/6rS8TuFPQiNvXFF8YwfcuWxuOBA80F/b/+BYmJEB3t3/oCbcgQ2LrV+AJUn2PHYNcu\n6NPHeNyvn3FMaan/axSxIwW9iE1t2wa9e//0uHdvY5LdkSP1HxdKs+3P1qKFsXVtXl797T7/HK68\nEqrX3nI4jEsTtaCmhCsFvYhNbd1a89r5yEjjHP2XX9Z/XKgGPZgbvv/885+G7aslJRmfp0g4UtCL\n2NS2bXD55TWfu+wyKC6u+5iiImOI+qqr/FqaZW6+2diox+2uu01xMcTH13zu8ssV9BK+FPQiNuTx\nGMF0btDHxMDu3XUft3y5EYbNQvRfdvfu0KWLMX+hLrt3G5/T2S6/XEP3Er5C9L8DkeB24IBxbvnc\nCXVOp3Gevi45OcaleKGsoeH7khLjczqbhu4lnCnoRWyoetj+3K0e6uvRnzoFq1fDsGH+r89KDW1b\nu3v3+UHfowf88IMxI18k3CjoRWzo3Il41err0efnG7PN27Xza2mWGzwYtm+HffvOf+30aSPMzx0J\nadYMevWCb78NTI0idqKgF7Gh2ibiQf09+g8/NJbLDXVRUcaoRW2b3OzZA1271j5HQefpJVwp6EVs\n6D//gZ/97PznO3UyNms5darm8x6PEfShfn6+2qhRxu97rpKS8yfiVevVy/hcRcKNgl7Ehnbtqn0P\ndYcDunU7f/h+82aIiPB9z/pgdfPNsHIllJfXfL628/PVevQwPleRcKOgF7EZj8fYYrZHj9pfdzrP\nH77/8EOjl3vu5L1QFR1tDMWvWVPz+fp69Ap6CVcKehGbOXgQWreGNm1qfz0m5vwefXXQh5Pahu/V\noxc5n4JexGZ27aq7Nw/n9+gPHTKG7sNtv/VRo2DZMmMEpFp9PfqYGNi/HyorA1OfiF0o6EVspri4\n/qA/t0efmwtDhxqbvoSTvn2NLXm/++6n5+rr0UdFQefO9a8sKBKKFPQiNuNrjz4ch+3BmI9w7vB9\nbavinU3D9xKOFPQiNlPXjPtq3bsbm9eAMQz90Uehu1tdQ84O+tOnjaWDu3atu31cnIJewo+CXsRm\nGurR9+0LhYXGCnBr1xo7tdUXbqFs6FDYsAEOH4b166FfP2jevO726tFLOIq0ugARqamhoG/Z0thv\n/V//gk8+Cc9h+2qtWsH110NenrG8bWpq/e179IB16wJSmohtqEcvYjMNBT0YgZafH77n589WPXyf\nn28u6NWjl3Dj8HjOvjglODkcDkLg1xDh6FFjMtmxY/UvfrNmDYwbB2fOGBPQQnX/eTNcLmMzn/Jy\nY637//N/6m773XfGF4PCwsDVJ+IvZrNPQ/ciNvL998Zku4ZWuBswwNh2dfz48A55gNhY49aiRf0h\nD8Zn63IZ196HyyqCIgp6ERtp6PKwai1awPDhcPvt/q8pGPziF1BV1XC7Vq2MFQdLS40NgkTCgYJe\nxEbqW9ntXNnZ/q0lmDz2mPm21QsOKeglXIT5oJ+IvezZY+xOJ/7TrZvxOYuECwW9iI340qOXxqlt\nUyCRUKagF7GRkhL16P2tWzcFvYQXBb2IjezZox69v8XEaOhewouCXsRG1KP3P/XoJdwo6EVsorLS\nuDa+c2erKwlt6tFLuFHQi9jEvn0QHQ0REVZXEtrUo5dwo6AXsQmdnw+MSy4xdrurrLS6EpHAUNCL\n2ITOzwdGRIQR9nv3Wl2JSGAo6EVsQj36wNF5egknCnoRm1CPPnB0nl7CiYJexCbUow8c9eglnCjo\nRWxCPfrAUY9ewomCXsQm1KMPHPXoJZwELOhzc3NJTEwkISGBOXPm1Npm2rRpJCQk0K9fP7766ivv\n83FxcfTt25f+/fszYMCAQJUsElDq0QeOevQSTgKyH73b7Wbq1KmsXLmSmJgYUlJSSEtLIykpydsm\nJyeH7du3U1hYyPr165kyZQrr1q0DwOFwkJ+fT4cOHQJRrkjAnThhXNfdrp3VlYQH9eglnASkR19Q\nUEB8fDxxcXFERUUxbtw4srOza7T54IMPuOeeewAYOHAgR44cYf/+/d7XPR5PIEoVsUT1PvQOh9WV\nhAf16CWcBKRHX1JSQmxsrPex0+lk/fr1DbYpKSmhc+fOOBwObrzxRiIiIsjMzGTy5MnnvcfMmTO9\n91NTU0lNTW3y30PEX3R+PrAuvhjcbjh+HC66yOpqRMzJz88nPz/f5+MCEvQOk92Uunrt//rXv+jW\nrRsHDx5k2LBhJCYmMmTIkBptzg56kWCj8/OB5XAYn/eePdCrl9XViJhzbid21qxZpo4LyNB9TEwM\nLpfL+9jlcuF0Outts3v3bmJ+7OJ0+/F/wOjoaMaMGUNBQUEAqhYJHPXoA0/n6SVcBCTok5OTKSws\npLi4mIqKCrKyskhLS6vRJi0tjUWLFgGwbt062rVrR+fOnSkrK+P48eMAnDx5kry8PPr06ROIskUC\nRj36wNN5egkXARm6j4yMZN6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6F5EL1K5dOzp16sShQ4dMtX/zzTfJzMz0c1UiUk1BLyIX\n7MEHH+S9995rsJ3L5aJ9+/beGfwi4n8auhcREQlh6tGLiIiEMAW9iIhICFPQi4iIhDAFvYiISAhT\n0IuIiIQwBb2IiEgIU9CLiIiEMAW9iIhICPv/ovFiZFgBXHIAAAAASUVORK5CYII=\n" } ], "prompt_number": 24 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Harmonic oscillator wave function" ] }, { "cell_type": "code", "collapsed": false, "input": [ "M=8\n", "\n", "fig, ax = subplots(M, 1, figsize=(10, 12), sharex=True)\n", "\n", "for n in range(M):\n", " psi = fock(N, n)\n", " wf = HarmonicOscillatorWaveFunction(psi, 1.0, extent=[-10, 10])\n", " wf.visualize(fig=fig, ax=ax[M-n-1], show_ylabel=False, show_xlabel=(n == 0)) " ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stderr", "text": [ "/usr/local/lib/python2.7/dist-packages/numpy/core/numeric.py:331: ComplexWarning: Casting complex values to real discards the imaginary part\n", " return array(a, dtype, copy=False, order=order)\n" ] }, { "output_type": "display_data", "png": 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LIiLSm9WnFCtVqoQr/zXxys7ORuXKle9+bfLXX39h2LBh8PT0xIEDB/D0009j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\nLnD37t0A1K5d25bbioiT+Pvf4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} ], "prompt_number": 25 }, { "cell_type": "code", "collapsed": false, "input": [ "psi = coherent(50, 4.0)\n", "wf = HarmonicOscillatorWaveFunction(psi, 1.0, extent=[-15, 15])\n", "wf.visualize();" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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TVVVJ55xjOsXRUfxoZKv4r776al199dWtvm534R0AiFThNNVP8UOyWfy//vWv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\nGOmJJ6SMDGnyZOmTT0wngl3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} ], "prompt_number": 26 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Software versions" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from qutip.ipynbtools import version_table\n", "version_table()" ], "language": "python", "metadata": {}, "outputs": [ { "html": [ "
SoftwareVersion
Cython0.19-dev
SciPy0.13.0.dev-38ad5d2
QuTiP2.3.0.dev-2d32599
Python2.7.3 (default, Sep 26 2012, 21:51:14) \n", "[GCC 4.7.2]
IPython0.13
OSposix [linux2]
Numpy1.8.0.dev-bd7104c
matplotlib1.3.x
Wed Apr 24 16:22:56 2013 JST
" ], "output_type": "pyout", "prompt_number": 27, "text": [ "" ] } ], "prompt_number": 27 }, { "cell_type": "code", "collapsed": false, "input": [], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 27 } ], "metadata": {} } ] }