{ "metadata": { "name": "Graphing with pylab" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "Basic graphing" ] }, { "cell_type": "code", "collapsed": false, "input": [ "linspace(0, 2*pi, 10)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 1, "text": [ "array([ 0. , 0.6981317 , 1.3962634 , 2.0943951 , 2.7925268 ,\n", " 3.4906585 , 4.1887902 , 4.88692191, 5.58505361, 6.28318531])" ] } ], "prompt_number": 1 }, { "cell_type": "code", "collapsed": false, "input": [ "x = linspace(0, 2 * pi, 100)\n", "y = sin(x)\n", "plot(x,y);" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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} ], "prompt_number": 3 }, { "cell_type": "code", "collapsed": false, "input": [ "x = linspace(0, 2 * pi, 100)\n", "y = sin(x)\n", "grid()\n", "plot(x,y);" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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O9st/443qhheTJjl3vN3yu0pH/mXL4PBh76xwMv38O0MKvRA+MHIkvP02FDFB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\nIYQIcP8PLKXaKVSXV+UAAAAASUVORK5CYII=\n" } ], "prompt_number": 5 }, { "cell_type": "code", "collapsed": false, "input": [ "x = linspace(0, 2 * pi, 100)\n", "y = sin(x)\n", "grid()\n", "xlabel('angle (rad)')\n", "ylabel('sin()')\n", "title('The Sine Function')\n", "plot(x,y);" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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LFy7ojpBjVs4Okv92AQHqqWLfPvUbf7lyakLb3r05v2ZCAowdq5YI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\nyJIUCSGEEFmSIiGEECJLUiSEEEJk6f8BVbVX8PvqRQAAAAAASUVORK5CYII=\n" } ], "prompt_number": 7 }, { "cell_type": "code", "collapsed": false, "input": [ "x = linspace(0, 2 * pi, 100)\n", "y = sin(x)\n", "grid()\n", "xlabel('angle (rad)', fontsize=20)\n", "ylabel('sin()', fontsize=20)\n", "title('The Sine Function', fontsize=24)\n", "plot(x,y);" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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RwXD6NMOgQQwuLgwffcRw+bL5s8vhh/JT/oKcXx+KLiKdOnXSLIZz7tw5uLi4aCaCsybG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\ngg==\n" } ], "prompt_number": 8 }, { "cell_type": "code", "collapsed": false, "input": [ "linspace(0, 2*pi, 5)\n", "#['0', '$\\pi/2$', '$\\pi$', '$3\\pi/2$', '$2\\pi$']" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 13, "text": [ "['0', '$\\\\pi/2$', '$\\\\pi$', '$3\\\\pi/2$', '$2\\\\pi$']" ] } ], "prompt_number": 13 }, { "cell_type": "code", "collapsed": false, "input": [ "x = linspace(0, 2 * pi, 100)\n", "y = sin(x)\n", "grid()\n", "xlabel('angle (rad)')\n", "ylabel('sin()')\n", "title('The Sine Function')\n", "xticks(linspace(0, 2*pi, 5), ['0', '$\\pi/2$', '$\\pi$', '$3\\pi/2$', '$2\\pi$'])\n", "plot(x,y);" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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sgSpVdEcjhPOSPg0Nbt2Cd96BSZNcI2G4Qs24eHF4/321oKHuP4lcoT2dibSnfpI0cunT\nT9VQz+ee0x2JuFv//nDmjBpNJYSwHSlP5UJCgtq3OiYGypVz+OVFFjZtgj594OefoUAB3dEI4Xyk\nPOVgQ4dC376SMJzVc8+pmeKTJumORAjXIUnDStHRahLZsGG6I7EtV6sZf/KJ+jl3Ts/1Xa09dZP2\n1E+ShhUMQw2tHTNGLZgnnFfFimrnxJEjdUcihGvQmjQiIiKoXLkyFSpUYNy4cff9e1RUFA8//DC1\na9emdu3afPjhhxqivN+yZWobV7PsxpcTwcHBukOwuREj1A5/Bw86/tqu2J46SXvqp22QaEpKCgMG\nDGDjxo34+fkRGBhIaGgoVe4ZWN+kSRNWrVqlKcr7/fWX6ssw47Ln7srXVyWOt9+GH36QdamEyA1t\nX3sxMTGUL18ef39/8uXLR6dOnVi5cuV9xznb4K4vvoCqVeHZZ3VHYh+uWjPu21ethPv99469rqu2\npy7Snvppe9JISEigdOnSaa9LlSrFzp070x1jsVjYsWMHtWrVws/PjwkTJlC1atUMz9ejRw/8/f0B\n8PHxISAgIO1R9s6NltvXNWoE89FHMGFCFFFRuT+fvHbs648/DmbwYMifP4o8efTHI6/ltaNfR0VF\nER4eDpD2fZlT2uZp/O9//yMiIoJZs2YB8O2337Jz506mTJmSdsy1a9fw8PDA09OT9evX8+abb3Ls\n2LH7zuWoeRpvvaXKU9Om2f1Swg4MA4KCoHdv6NFDdzRC6GeqeRp+fn7ExcWlvY6Li6NUqVLpjvHy\n8sLT0xOAli1bcvv2bS5duuTQOO/49VeYO1dt4yrMyWJRw29HjICbN3VHI4Q5aUsaderU4fjx45w6\ndYqkpCQWL15MaGhoumPOnTuXlgVjYmIwDIMiRYroCJeRI9VaRsWKabm8w9x5lHVVDRqoPU8cNeHP\n1dvT0aQ99dPWp5E3b16mTp1K8+bNSUlJoVevXlSpUoWZM2cC0LdvX5YtW8b06dPJmzcvnp6eLFq0\nSEus+/erUTdSlnINY8fC00+rMtWjj+qORghzkbWnsqFlS2jVCt54w26XEA7Wvz8ULAgTJuiORAh9\nZD8NO4iMhF694OhRyJ/fLpcQGpw5o/bc2L8f7hrEJ4RbMVVHuBkYhprI9+GH7pMw3KVmXLIkvPoq\njB5t3+u4S3s6irSnfpI0HuC779QQ206ddEci7GHwYPW/cWys7kiEMA8pT2UiJQVq1oTx4yEkxKan\nFk7k449h715YskR3JEI4npSnbGjhQvDxUR3gwnUNHAjbtsGePbojEcIcJGlk4PZt+OADtfS5uy1u\n5241Y09PNdnv/fftc353a097k/bUT5JGBr75Bp54AmQVZvfQq5fq19i2TXckQjg/6dO4x82bUKEC\nLF8Odeva5JTCBGbPhjlz1BBrd3u6FO5L+jRsYPp0qFNHEoa76dYNEhPhxx91RyKEc5OkcZc//1Sj\npcLCdEeij7vWjPPmVYtRjhih5ufYiru2p71Ie+onSeMuX3wBTZpAjRq6IxE6dOwIV6/C+vW6IxHC\neUmfxt+uXYPy5VVNO5N9noQbWL5cjZrbvVv6NoTrkz6NXJgyBZo2lYTh7l58EVJTwYm2pRfCqUjS\nAP74Az77TO2Z4e7cvWZssai+jVGjbNO34e7taWvSnvpJ0kBtyNOqFVSqpDsS4QxCQ1Xy+O473ZEI\n4Xzcvk/jyhXVlxEdrf4rBKjy1MiRal2qPPKnlXBR0qdhhUmToE0bSRgivTZt1DBcedoQIj23ThpX\nrsDUqfZbd8iMpGas3N23kZpq/XmkPW1L2lM/t04akyervgx5yhAZCQmBhx5Sw3CFEIrb9mn88YdK\nFjt2qLWmhMjImjXqSXTfPunbEK5H+jRyYPJkaNlSEoZ4sJAQ1bch8zaEUNwyaVy9qpLG8OG6I3E+\nUjNOz2JRo6hGj7Zu3oa0p21Je+rnlkljyhRo3hwqVtQdiTCD0FDVGb52re5IhNDP7fo0rl1TGyxt\n3gxVqtg5MOEyli9X+4nv3ClrUgnXIX0a2TB9OjzzjCQMkTNt26oNuiIidEcihF5ulTRu3IBPP5W+\njAeRmnHG8uRRe23ktG9D2tO2pD31c6uk8eWX0LCh7JchrNOunZoQKrv7CXfmNn0at26pvozVq+HJ\nJx0UmHA5334LX30F8gevcAXSp/EAX38NtWtLwhC506kTxMfD1q26IxFCD7dIGklJMG6cqkmLB5Oa\n8YPlzQvDhsGHH2bveGlP25L21M8tksa8eWqvjHr1dEciXEG3bnDkCMTE6I5ECMdz+T6N5GQ1vPar\nr6BJEwcHJlzWF1/A99/L8iLC3KRPIwNLlkCJEtC4se5IhCvp1Qv27IH9+3VHIoRjuXTSSE2FMWPU\nvAyZxZs9UjPOngIF4O23YezYBx8n7Wlb0p76uXTS+O478PSE55/XHYlwRX37qqG3R4/qjkQIx3HZ\nPg3DgDp11AqlL7ygKTDh8j78EE6cgPBw3ZEIkXPW9GnktVMs2kVEqKG2bdrojkS4sgED1KTRX3+F\nsmV1RyOE/blkecowVF/Ge+/Jbms5JTXjnPHxUWWq8eMz/ndpT9uS9tTPJb9St2yBc+egQwfdkQh3\n8NZbsHgxJCbqjkQI+3PJPo3nn4eOHdWwSCEc4a231FPtxIm6IxEi+6zp03C5pLFrl1qN9MQJyJ9f\nc2DCbSQkqNWTjx2DRx/VHY0Q2WOXyX1Xrlxh/fr1TJ8+nRkzZhAREcEff/xhdZD2NnYsvPuuJAxr\nSc3YOn5+8K9/qb3n7ybtaVvSnvplmjS2bt1KaGgojRs3ZtGiRZw+fZpTp06xcOFCgoKCCA0NZdu2\nbY6MNUuHDsH//R/07q07EuGOhgyBadPg6lXdkQhhP5mWp95++2369etHhQoVMnzjsWPHmDFjBp9+\n+qldA8yOO49YXbtC9eowdKjuiIS76tIFatZUCUQIZ+fWfRonTxrUrQu//ALe3rojEu7q0CFo1kzd\nhwUL6o5GiAezaZ9GeHg4ycnJmb4xKSmJ2bNn5+hi9jRuHPTrJwkjt6RmnDvVq6sl+L/+Wr2W9rQt\naU/9Mp0Rfv36dQIDA6lcuTKBgYGUKFECwzA4e/Ysu3fv5ujRo/Tp08eRsT7Q0qVq5IoQur33nuoU\nf/VV3ZEIYXsPLE8ZhsH27dvZtm0bp0+fBqBMmTI0atSIhg0bYsnl0rEREREMGjSIlJQUevfuzZAM\nCsEDBw5k/fr1eHp6Eh4eTu3ate//EBYLgwYZfPZZrsIRwmaaNYOXX4aePXVHIkTmTNWnkZKSQqVK\nldi4cSN+fn4EBgaycOFCqlSpknbMunXrmDp1KuvWrWPnzp28+eabREdH33cui8VCfLyBn58jP4EQ\nmYuMhNdeg59/Bg8P3dEIkTG7zNM4f/48Y8aMoU+fPvTs2ZOePXvy73//2+og74iJiaF8+fL4+/uT\nL18+OnXqxMqVK9Mds2rVKrp37w5AvXr1uHLlCufOncvwfJIwbENqxrYRHAxFikBYWJTuUFyK3J+2\ns3Gjde/LcpXbF154gcaNG9OsWTPy/L36X27LUgAJCQmULl067XWpUqXYuXNnlsfEx8dTvHjx+87X\no0cP/P39AfDx8SEgIIDg4GDgnxtNXstrR75+//1gBg2CJk2isFj0xyOv5XVUVBTh4eFcugRRUf5Y\nxchCrVq1sjrEKsuWLTN69+6d9nrevHnGgAED0h3TunVrY9u2bWmvn3vuOWPPnj33nSsbH0MIh0tN\nNYyaNQ1j7VrdkQiRXocOhjFhgnXfnVmWp1q3bs3atWuty0gP4OfnR1xcXNrruLg4SpUq9cBj4uPj\n8ZM6lDAJiwWGDVPL9Jt/NpRwFceOqT63vn2te3+WSePzzz+nTZs2FChQAC8vL7y8vPC2wWSIOnXq\ncPz4cU6dOkVSUhKLFy8mNDQ03TGhoaHMnTsXgOjoaHx8fDIsTQnbufMoK2yjWLEozp9Xy/WL3JP7\nM/c+/lhtHla4sHXvz7JP4/r169adOasL583L1KlTad68OSkpKfTq1YsqVaowc+ZMAPr27UurVq1Y\nt24d5cuXp1ChQk41mVCI7MiTRy1rM3YsNGmiOxrh7k6fhpUr4fhx68+R6ZDbI0eOUKVKFfbu3Zvh\nG5988knrr2pj1gwbE8JRkpLUlrDLl0NgoO5ohDsbOFAtbzNunHpt03kaffr0YdasWQQHB2c4Wioy\nMjLnEduJJA3h7CZPhqgolTiE0OHcOahSRc0dKlFC/c6m8zRmzZoFwOuvv87KlSuJjIzkmWeewcfH\nhwkTJlgfuXBqUjO2rTvt2bs37NgBhw/rjcfs5P603mefQefO/yQMa2XZER4WFoa3tzfbtm3jxx9/\npFevXrz++uu5u6oQbsbTE958U3VCCuFoly/DrFkweHDuz5XlMiIBAQHs37+foUOHUqNGDbp06ULt\n2rXZt29f7q9uI1KeEmbwxx+qbyMmBsqV0x2NcCdhYWq5/nvHEtll7amQkBD8/Pz44Ycf2LdvHwUK\nFKBevXocOHAgx4HbiyQNYRbDh8OFC/D3IEEh7O76dfVHytatUKlS+n+zy9pTS5YsoXnz5mzYsAEf\nHx8uX77MJ598kqOLCPOQmrFt3duegwapZfwTEvTEY3Zyf+bczJlqLbR7E4a1spynUahQIdq1a5f2\numTJkpQsWdI2VxfCzTz6KPToARMmIEv5C7u7dQsmToR162x3TpfZ7tUFPoZwE4mJaoe/2FgoWlR3\nNMKVTZ8Oa9fCmjUZ/7up9tOwJUkawmz69VNLp48ZozsS4apu34aKFWHBAmjQIONj7NKnIdyL1Ixt\nK7P2HDxY1ZqvXHFsPGYn92f2zZ+vOsAzSxjWkqQhhAZly0JICEydqjsS4YpSUuCjj9RoPVuT8pQQ\nmhw9Co0bq/Hz1q44KkRGFi+GSZNg+3a1RH9mpDwlhIlUrqyGQsqcDWFLqanw4YfqKcMGm6zeR5KG\nSEdqxraVVXsOH66GRN686Zh4zE7uz6ytXg358kHLlvY5vyQNITSqWVMtl/7117ojEa7AMNSIPHs9\nZYD0aQih3a5d8NJLcOIEPPSQ7miEmX3/Pbz9Nvz0k9oALCvSpyGECQUGQrVq8PfOxkJYxTBg9Gj1\nlJGdhGEtSRoiHakZ21Z223PECDVE8vZt+8ZjdnJ/Zi4yEi5ehA4d7HsdSRpCOIGnn4YyZdTsXSGs\nERYG770HHh72vY70aQjhJCIjoW9fOHLE/v/HF65l61a1EObRo2rkVHZJn4YQJhYcDMWLw6JFuiMR\nZhMWBsOG5SxhWEuShkhHasa2lZP2tFhg5Eg1MSslxX4xmZncn/eLjlYrJr/yimOuJ0lDCCfStCn4\n+MCyZbojEWYxejQMGQL58zvmetKnIYSTiYiAd9+FgwftO3RSmF9MDLRrZ/0cH+nTEMIFNG8Onp6w\nfLnuSISzGz0ahg517KRQSRoiHakZ25Y17Xmnb2P0aLX4nPiH3J//2LUL9u+HXr0ce11JGkI4oZAQ\n9dfjihW6IxHO6s5TRoECjr2u9GkI4aTWrlVfCgcOSN+GSG/3bmjbVvVl5CZpSJ+GEC6kVSsoWFD6\nNsT97oyYcvRTBkjSEPeQmrFt5aY9LRYYNQr++1/p27hD7k/1lLF3L/Tpo+f6kjSEcGItW6qRVP/7\nn+5IhLP44AO1xpSOpwyQPg0hnN769fCf/8i8DaFmf3foAMeP22aYrfRpCOGCWrSAwoVhyRLdkQjd\nPvhA7Zehc7MuSRoiHakZ25Yt2tNiUQvSjRoFycm5Pp2pufP9uW0bHDumVrPVSZKGECbQtKlaAXf+\nfN2RCF0++EBt1uWoNaYyI30aQpjEli3qr8zYWMcsgS2cR1QU9O6t9svIm9d255U+DSFcWOPGUL48\nzJ6tOxLhSIYB77+vypO2TBjWkqQh0nHnmrE92Lo9w8LUz61bNj2tabjj/bl+PfzxB3TurDsSRZKG\nECZSrx4EBMDMmbojEY6QmqqeMsLCnGcLYOnTEMJk9u9Xw3BPnFBDcYXrWroUxo9X+2ZYLLY/v/Rp\nCOEGAgLg2Wfh8891RyLsKTlZjZYaM8Y+CcNakjREOu5YM7Yne7Xn6NEqafz+u11O77Tc6f789ls1\nzLpZM92jieGwAAAS5klEQVSRpCdJQwgTKl8e2reHjz/WHYmwh1u31LyMsWOd6ykDpE9DCNNKTIQa\nNdSaVH5+uqMRtvTpp7B5M6xcad/rWPPdKUlDCBMbOhQuX5bRVK7kjz+gQgWIjIRq1ex7LekIF7nm\nTjVjR7B3ew4ZojZpio2162Wchjvcn+PHQ+vW9k8Y1pKkIYSJ+frC4MEwbJjuSIQtnDkDM2aojbec\nlZby1KVLl+jYsSO//fYb/v7+LFmyBB8fn/uO8/f3x9vbGw8PD/Lly0dMTEyG55PylHBnt25BpUqw\nYAE8/bTuaERuvPYaeHnBJ5845nqm6dMYPHgwjz76KIMHD2bcuHFcvnyZjzMYBlK2bFn27NlDkSJF\nHng+SRrC3c2bB9Onw/btzjfaRmTP0aMQFKRKjVl85dmMafo0Vq1aRffu3QHo3r073333XabHSjJw\nLHeoGTuSo9qzSxe4cQNWrHDI5bRx5ftzyBD146iEYS0tayaeO3eO4sWLA1C8eHHOnTuX4XEWi4Wm\nTZvi4eFB37596fOAndR79OiBv78/AD4+PgQEBBAcHAz8c6PJa3ntyq8/+SSY/v3B2zuKvHn1xyOv\ns/96/3746adgliyx7/WioqIIDw8HSPu+zCm7laeaNWvG2bNn7/v9mDFj6N69O5cvX077XZEiRbh0\n6dJ9x545c4aSJUty4cIFmjVrxpQpUwgKCrrvOClPCaE0bw5t2sCAAbojEdmVmgqBgWpAQ8eOjr22\nNd+ddnvS+OGHHzL9t+LFi3P27FlKlCjBmTNnKFasWIbHlSxZEoCiRYvy4osvEhMTk2HSEEIoEyao\nXf66dFEjq4Tzmz9fbarVoYPuSLJHS59GaGgoc+bMAWDOnDm0bdv2vmNu3LjBtWvXAPjzzz/ZsGED\nNWrUcGic7ujOo6ywDUe3Z40a0LatWkrbFbna/Xnzplr6fOJE8wxg0JI0hg4dyg8//EDFihX58ccf\nGTp0KACJiYmEhIQAcPbsWYKCgggICKBevXq0bt2a559/Xke4QphKWBjMnQvHjumORGTl00+hbl1z\nDZWWZUSEcEHjx6vht/Zeu0hYLz4eatWCXbugXDk9MZhmnoatSdIQIr2//oIqVeCrr9TeG8L5dO0K\nZcqo/TJ0Mc08DeG8XK1mrJuu9nzoITWreNAgtZmPq3CV+3PHDoiKMufyL5I0hHBRL70ERYuqmeLC\neaSmwsCBai8UM27XK+UpIVzYzz9DkyZw+DBkMrJdONg338CsWarPKY/mP9ulT0MIcZ933lF7NHz1\nle5IxJUrqq9p1So1oU836dMQueYqNWNn4Qzt+cEHsG4dZLJItKk4Q3vmxvDh8MILzpEwrKVl7Skh\nhON4e8O4cdC/P+zcqb8k4q727IFly1TJ0MykPCWEGzAMaNxYLS/y2mu6o3E/KSnQoAH06wc9e+qO\n5h/SpyGEyNThwxAcDAcPwt/LugkHmTlT7XmyZYtzPelJn4bINbPXjJ2NM7VntWrQpw+89ZbuSKzn\nTO2ZXRcuwIgRMG2acyUMa7nARxBCZNfw4WrZiogI3ZG4j7fegldegZo1dUdiG1KeEsLNRETA66/D\noUPg6ak7Gte2fr3a2+Snn5yzraVPQwiRLZ06qXWPxo3THYnrunYNqleHr79We5w4I+nTELlmxpqx\nM3PW9pw0CcLDVanKTJy1PTMyfLhaLNJZE4a1ZJ6GEG6oeHH47DM1/HPPHrXAobCd6GhYskSVAF2N\nlKeEcFOGoXb5q1nTdXf60+HmTXjySRg1yvF7fueU9GkIIXLkzBm1EdD330Pt2rqjcQ3vvKM2WFq8\nWHckWZM+DZFrZqoZm4Gzt2fJkmrfjR491MZNzs7Z23PLFli4EL74Qnck9iNJQwg398orULYsjByp\nOxJzu35dJd+ZM+HRR3VHYz9SnhJCcOGCKlMtWKCWGhE599prkJSk9sswC2u+O2X0lBCCokXVfIJX\nXoEDB8DXV3dE5rJypZo0eeCA7kjsT8pTIh1nrxmbjZnas2VLtddD//66I8mcM7ZnfDy8+qp6Snv4\nYd3R2J8kDSFEmvHjYf9+mDNHdyTmkJICXbuqPb8bNtQdjWNIn4YQIp2fflIzmaOi1Mq4InNhYRAZ\nCT/8AB4euqPJOZmnIYSwifBw9dQREwOFC+uOxjlt3Qrt26sZ9X5+uqOxjszTELnmjDVjMzNre/bo\nAfXqqRFBzvT3mLO0Z2KiWvQxPNy8CcNakjSEEBn64gs1GmjWLN2ROJekJPjXv9Ty8i1a6I7G8aQ8\nJYTIVGwsBAXB8uXQqJHuaJxD//6QkKDaxOw78Ul5SghhU5Uqwdy50KEDnD6tOxr9wsNh40Y1uszs\nCcNabvqxRWacpWbsKlyhPVu0gHffhdBQ+PNPvbHobM8tW2DwYFixwj3mY2RGkoYQIktvvaVWwe3e\nHVJTdUfjeLGxaqTU/PlQtaruaPSSPg0hRLb89Rc0awZPPQWffgoWi+6IHOPCBWjQAIYNg169dEdj\nW9KnIYSwm4ceUmssbdyollN3BzduqKVVOnRwvYRhLUkaIh1XqME7E1drT19ftTDftGmqU9jRHNme\nf/0F7dpBuXLw4YcOu6zTk1VuhRA54uenEkdwMBQpojrIXU1yMnTuDAULquToriOlMiJ9GkIIq+ze\nDSEh8OWXqoTjKlJS1BLxly7Bd9+pspyrkv00hBAOU6cOrFsHrVqpL9qXXtIdUe4lJ6u+i8RE9dlc\nOWFYSx66RDquVoPXzdXb86mnVKnq9ddh6VL7X8+e7Xnrlloe5Px5WLNGlabE/SRpCCFypXZt+P57\nePNNmDJFdzTWuXZNPTHdGSFWqJDuiJyX9GkIIWzi11/VF2/LljBhgnk6jxMSVJ/MU0+pUWFm3BfD\nWjJPQwihTdmysGMH7N2rZk/rXnIkO3bsgLp1VX/MjBnulTCsJUlDpOPqNXhHc7f29PVVpSpvbwgM\nhMOHbXt+W7bnV19B27Zq9Nd777nPDPfckqQhhLCphx6C2bPV4n7BwfDNN861kdOVK9CtG0ycqHbf\nCwnRHZG5SJ+GEMJufv5ZlaqqVYNJk6BkSb3xbNgAvXurPoyPP5YOb+nTEEI4lapVYdcuKF8eatWC\n6dP1rJJ77hz06aMSxjffqFFe7p4wrCVJQ6TjbjV4e5P2BE9PGDsWIiNhwQKoX1/9xW9NcSCn7Xnj\nhlo3qlo1tQfGwYPQtGnOryv+oSVpLF26lGrVquHh4cHevXszPS4iIoLKlStToUIFxo0b58AI3df+\n/ft1h+BSpD3/Ua0abN4MgwapOR0NG8L69TlLHtltz99/h3HjoGJFlShiYtQwYB8fK4MXabQkjRo1\narBixQoaN26c6TEpKSkMGDCAiIgIfv75ZxYuXMiRI0ccGKV7unLliu4QXIq0Z3p58sDLL8OhQyp5\nDB6stpQdPRp++SXr9z+oPZOTVcd2796qHHbkCKxaBUuWqJVqhW1oWXuqcuXKWR4TExND+fLl8ff3\nB6BTp06sXLmSKlWq2Dk6IYS9eXhAx45qn4pdu2DePFW2KlMGgoKgUSO18VGJEpkPhb15E44ehZ9+\nUuWuiAh4/HG1FEhsLBQr5tjP5C6cdsHChIQESpcunfa6VKlS7Ny5U2NE7uHUqVO6Q3Ap0p4PZrGo\nyXV166rdAHfsgO3b1RyKPn1Un0TJkvDYY1CgABw8eIrVq+HyZThzRj1RVKsGzzyjRkOVKqX7E7k+\nuyWNZs2acfbs2ft+P3bsWNq0aZPl+y05nGmT0+NF5ubMmaM7BJci7Zk7v/6qfu64cOGf9jx0SP0s\nXqwhMDdlt6Txww8/5Or9fn5+xMXFpb2Oi4ujVCZ/RsgcDSGEcAztQ24z+8KvU6cOx48f59SpUyQl\nJbF48WJCXXGLMCGEMBEtSWPFihWULl2a6OhoQkJCaNmyJQCJiYmE/D2nP2/evEydOpXmzZtTtWpV\nOnbsKJ3gQgihmamXEYmIiGDQoEGkpKTQu3dvhgwZojskIYRwaaZNGikpKVSqVImNGzfi5+dHYGAg\nCxculKcRIYSwI6cdcpsVmcdhP8nJyZw8eZJKlSrpDsWUEhIS+M9//sPx48fx8PDgkUceITQ0lL59\n++oOzaXIfZp9t2/f5ssvv+TWrVtcuXKFsLAwq89l2qQh8zjsJyoqijJlytj0RnMnv/32GwsWLGDB\nggVYLBY6d+6sOySnl5SUxPz58/H29mbt2rVMmTKFQlmsKCj3afYtW7aMzp07U6RIEdq3b8/OnTup\nV6+eVefSPnrKWjIvw35iY2OpUKFC2o32zjvvcPToUUnK2dSwYUNiY2N5+OGHuXDhgu5wTCEmJobI\nyEjatWvH1atX+fHHH7N8j9yn2RcbG8vivyezlCtXjvj4eKvPZdqkkZN5HCJn8vy9ubMtbzR3M3/+\nfBo2bMjJkydJTk7WHY7Ta9SoEVOmTAHg4sWL1K1bN8v3yH2afUOHDqV79+4AHDhwgPr165OQkMDL\nL79MYGAg9evXJyQkhJkzZ2Z5LtOWp+6ex/HYY4+xePFiFi5cqDssU3hQzT0mJobAwEBA3Wipf29+\ncODAAQYOHKgzbFOJi4vD19eXYsWKSd09m1JSUpg2bRqvvPIKxYsXl/vUhgoUKACokt6zzz6Ln58f\nO3bssK6MapjYunXrjIoVKxpPPPGEMXbsWN3hmMb27dsNwzCM+fPnGwsWLEj3b9OmTbvv+MjISGPc\nuHEOiU2If/3rX8aWLVvkPrWxixcvGh9++GG63x09etRYs2aNMWnSpGyfx7TlKYCWLVsSGxvLiRMn\nGDZsmO5wTONBNffUe7ZV+/3339m+fTuDBw92ZIjCjVWqVImFCxfKfWpDhmGwYMEChg0bRnJyMps2\nbQKsK6OaOmkI62V0s8TGxqYro2R2owlhax999BGjRo0C4OzZs2lD5+U+tY0ZM2YwYsQIihcvTvHi\nxSlRogRwfxk1OyRpuKmMbpaoqCiCg4PTjsnsRhPC1jp16kTFihWZPXs2np6eDBgwAJD71Fb69evH\nlStXuHDhAr///jvVqlUDYPbs2QC8//772e53M+2McGF7U6ZM4Y033tAdhhAPJPepXvKkIQC1WKSf\nn5/uMIR4ILlP9ZOkIQDYunUrzZs31x2GEA8k96l+Up4SQgiRbfKkIYQQItskaQghhMg2SRpCCCGy\nTZKGEEKIbJOkIYQQItskaQghhMg2SRpC5MKpU6eoUaNGjt7z119/0aRJE3Iz2j08PDxtVvTkyZOZ\nN2+e1ecSIickaQjhYPPnz6d169b37T5p7WZNPXv2TNvASAh7k6Qh3NKLL75InTp1qF69OrNmzUr7\nfeHChRk+fDgBAQE0aNCA8+fPA3Dy5Enq169PzZo1GT58OF5eXvedMyUlhf/85z/UrVuXWrVq8eWX\nX2Z47YULF/LCCy8AavG9oKAgXnjhBapXrw5A27ZtM4xt9uzZVKpUiXr16rFjx46033t5efHII49w\n+PDh3DeMEFmx1QYfQpjJpUuXDMMwjBs3bhjVq1dPe22xWIw1a9YYhmEYgwcPTtu0JiQkxFi0aJFh\nGIYxY8YMo3DhwoZhGMavv/5qVK9e3TAMw5g5c2ba8bdu3TLq1Klj/Prrr+mum5ycbJQoUSLtdWRk\npFGoUCHj1KlTD4wtMTHRePzxx42LFy8aSUlJxtNPP2288cYbae8ZOXJkhhsTCWFr8qQh3NKkSZPS\nnibi4uI4fvw4APnz5yckJASAp556ilOnTgEQHR1N+/btATLdFnPDhg3MnTuX2rVrU79+fS5dusSJ\nEyfSHXPx4sX7nlLq1q1LmTJlMowtPj6eY8eOsXPnToKDg3nkkUfIly8fHTt2TNcn8thjj6XFKoQ9\nmXaPcCGsFRUVxaZNm4iOjqZAgQI888wz3Lp1C4B8+fKlHZcnT54c9zNMnTqVZs2aPfAY454O8EKF\nCmUZ2739H/eewzCM+44Rwh7kSUO4natXr+Lr60uBAgU4evQo0dHRWb6nfv36LFu2DIBFixZleEzz\n5s2ZNm1aWqI5duwYN27cSHfMo48+yvXr13MUm8VioV69emzevJlLly5x+/Ztli5dmu59Z86cwd/f\nP8vPIURuSdIQbqdFixYkJydTtWpVhg0bRoMGDdL+7e6/1i0WS9rrzz//nE8//ZSAgABOnjzJww8/\nfN97evfuTdWqVXnyySepUaMG/fr1u+9JxcPDg+rVqxMbG3vfNR4UW4kSJRg1ahQNGjSgUaNGVKtW\nLd37YmJiCAoKslUTCZEpWRpdiGy4efMmBQsWBNSTxuLFi1mxYoVV5woPD+fcuXMMGTLEJrFdvXqV\n5557jl27dtnkfEI8iCQNIbJh27ZtDBgwAMMw8PX15ZtvvqFcuXJWnSspKYmmTZuyefNmm/RDTJ48\nmSJFitC1a9dcn0uIrEjSEEIIkW3SpyGEECLbJGkIIYTINkkaQgghsk2ShhBCiGyTpCGEECLbJGkI\nIYTItv8HAFd/3/XbcnYAAAAASUVORK5CYII=\n" } ], "prompt_number": 11 }, { "cell_type": "code", "collapsed": false, "input": [ "x = linspace(0, 2 * np.pi, 100)\n", "y = sin(x)\n", "xlabel('angle (rad)')\n", "ylabel('sin()')\n", "title('The Sine Function')\n", "plot(x,y)\n", "ax = gca() # gca stands for 'get current axis'\n", "ax.spines['right'].set_color('none')\n", "ax.spines['top'].set_color('none')\n", "ax.xaxis.set_ticks_position('bottom')\n", "ax.spines['bottom'].set_position(('data',0))\n", "ax.yaxis.set_ticks_position('left')\n", "ax.spines['left'].set_position(('data', 0))\n", "xticks(linspace(0, 2*np.pi, 5), ['', '$\\pi/2$', '$\\pi$', '$3\\pi/2$', '$2\\pi$']);" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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} ], "prompt_number": 14 }, { "cell_type": "code", "collapsed": false, "input": [ "t = 2 * np.pi / 3\n", "x = linspace(0, 2 * np.pi, 100)\n", "y = sin(x)\n", "plot(x,y)\n", "grid()\n", "\n", "plot([t, t], [0, sin(t)], color='green', linewidth=2.5, linestyle=\"--\")\n", "scatter([t, ], [sin(t), ], 50, color='green')\n", "annotate(r'$sin(\\frac{2\\pi}{3})=\\frac{\\sqrt{3}}{2}$',\n", " xy=(t, np.sin(t)), xycoords='data',\n", " xytext=(+10, +25), textcoords='offset points', fontsize=16,\n", " arrowprops=dict(arrowstyle=\"->\", connectionstyle=\"arc3,rad=.2\"));\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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07SwWC3v3wgMPaMskv/yy6JUuekhamcSNe1Khf3P4uRN8MwtytG5iac/S/PTbTzon1Jjh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\nEMLN/T+ysLU+Z3yt6wAAAABJRU5ErkJggg==\n" } ], "prompt_number": 21 }, { "cell_type": "code", "collapsed": false, "input": [ "x = linspace(0, 2 * np.pi, 100)\n", "y = sin(x)\n", "grid()\n", "xlabel('angle (rad)')\n", "ylabel('sin()')\n", "title('The Sine Function')\n", "xlim( (0.5, 2) )\n", "ylim((0, 1.1))\n", "plot(x,y);" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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1n1u0aMF9993HsmXLGDt2LMeOHaO4uNijkFXh4EF7rqP9++Gbb+CMi8KJiMg5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\n/NKNN95I586diYuL46233nJ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} ], "prompt_number": 23 }, { "cell_type": "code", "collapsed": false, "input": [ "plot(np.random.rand(20))" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 24, "text": [ "[]" ] }, { "output_type": "display_data", "png": 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aHYJj4NdSLPx6mktIUW9ra0NBQQGKi4tRUVGBoqIiVFZWdjpm/fr1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\nAAAAAElFTkSuQmCC\n" } ], "prompt_number": 24 }, { "cell_type": "code", "collapsed": false, "input": [ "plot(np.random.rand(20), 'o-.')" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 25, "text": [ "[]" ] }, { "output_type": "display_data", "png": 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GdHXqVvXWW+Idw003yY7EOBRF/jxHIHBVrREZ+QIWLNAnEe3fL4bK2rTR/FKm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\nExFZyP8DbSwSlzp4lBQAAAAASUVORK5CYII=\n" } ], "prompt_number": 25 }, { "cell_type": "code", "collapsed": false, "input": [ "plot(np.random.rand(20), 'kx-.')" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 27, "text": [ "[]" ] }, { "output_type": "display_data", "png": 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s+5+7LM7UpUzKe6b+61//wogRIxAWFsYtQ3Z2NsaOHYvc3FyT9nvw4EGsW7cO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\nsDCLntHBGIO7uztSU1Pv+zp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} ], "prompt_number": 27 }, { "cell_type": "code", "collapsed": false, "input": [ "plot(np.random.rand(20), 'o-', lw=8)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 30, "text": [ "[]" ] }, { "output_type": "display_data", "png": 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SV2u/JCXx10hIknjDGmeo8qUpJOp+ZMAA4JVXPHcVdMZuB+67j7/AAjDGT5cJ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\npoq6mjp3Qj3nz5/HmTNnAADnzp3Dhg0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} ], "prompt_number": 30 }, { "cell_type": "code", "collapsed": false, "input": [ "plot(np.random.rand(20), 'x-.', ms=30)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 32, "text": [ "[]" ] }, { "output_type": "display_data", "png": 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} ], "prompt_number": 32 }, { "cell_type": "code", "collapsed": false, "input": [ "plot(np.random.rand(20), 'o-.', ms=30, lw=8, alpha=0.7, mfc='white')" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 33, "text": [ "[]" ] }, { "output_type": "display_data", "png": 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7nRYAUvhuIpJR92PxYtpYGIYeqTs6yMh/6UuBA4VThdOnyVCxwl1CdFfOnPHt\nYepPa6two56osN2RuDLDLAoFrdqF5vdL+PKb31DVdk8PubdYgS82lVhqqBEYyaiHQSbz3kz+BRJT\nkdFR4Nw56uje2UkrpMJCr5G/6abgbezmzwc++oi+V6m8eersNlWKRdxumqBYX79SSSl37KZUTt/A\neiBeeIE+K646o05HRUehPqfVq4HqajLimZnSZ8oXyahL+HDNNbSx+Cs0sn7jQNx6K1BeTgZcaMrf\n2bPkvuGqM2q1JLsar8HMMAyv9EKFwpv9k5UVXR69x+OBZwovOT0ektsdGwNOnfJ9ja3EfeGFwKqX\nU7DcJS5IRl0iJBkZlB9eUhL+vfPm8Q8Q+qPRAOvWkYvr3Dngr38lNxBAxr2qKvaNEdRqNWw2GzQa\nTdj3iiXZwvd4yUp3d2AXFUBxl/PnxRFKk/AiGXUOf/sb8Mkn3opGjQaYO9dbHTkwQKtVrlIj9+v6\n9eIU4UxHVCpqUcZtU8Yw1DDBYuGfIhgNer0ezc3NcTWyJpMJFRUVcTtevJk7F/jtbyltkavOaLGQ\na0+rnd4NMGKBZNQ5zJtHhttqpQBNRwcFSefOpZvP6fT6jAPR3R2/c01W3G7+EgIyWfC2gbGgoKAA\nBoMh6v0wDMkJyGThV6FmszlgsdNUQS6nAqM5c6jGg4VhaDEUKEsqEC6Xt08pu4hiGGkRFQjJqHMI\nlDo3OuqtpmxtDW3Ue3pie36x5vPPScyLK94VaVGI2+39zLi56rW1pA+TiMhkMmg0Glit1gnCdaHw\neMiIDwzQNjhIfva5c0MbdYvFAp1ONy1TGmWy8KnAvb2kuWS30/f+RZU5OZJRD4Rk1MOQlkZBsauu\nIj8qm6MeSKkx2aWxP/mEWslxYRUaNRrS4whXVfrxx8Crr9LTTl4eBbuKi4ENG+hron9GVVVV2Ldv\nHzZv3hz2vcPDNFE5HJS+mJVFK9L58/m5i44dO4aNGzdGf9JTlIwMWmgEo7eX/PXxcM0lE5JRF4Be\nP7U7HAWqpuUqNM6eHd6o63TA44/TEw/fPO32dvpcuVkvOh2lUsZToRGgDkkKhQIOhyNss+rUVDrH\nrCzhqpQOhwMKhWJKy+4yDG2R+szT0kh3qb+fVvazZnkFvqRc9eBIRl1inOXLyV3ACnf5KzTyKbpi\nc/qFcOECZUGcP+/7e7mcXBg33ww8+KCwfUZDdXU1Dh06hE2bNoV8X0oKuQAi4eDBg1NecrenhyZ4\ntdo3P73401isAAAgAElEQVSoiLpJ8ZkIv/99mjRzcoQJpU1npI/pC06cABoafNUZtVrhXeOTmeXL\naWNxuajknTXypaWxOS6nD4sPHg8VQPENpolFXl4eVCoV2traUFxcLPr+W1tbkZWVNeVb2c2eDfz3\nf3uVGS0WaipuNlPQ8/rrgeefD72PGHz8Ux5JevcLXnsN+D//Z+LvZ8705lCH6J0wTrJ0+JksXC7y\nRXMny4EBb59K7tbdTZ/nY48Bd94Z3/P0eDx45ZVXUF1dHZFhd7tpMnI4yEXD3hNtbW1oaGhAfX09\n5NM4l8/pJCG0SLpGTTeE2k7JqH/Bv/4r8M47wV//x38kw97dTQbHP0ed9T0//ji1b5MgY81Vamxr\no9XaLbcA3/hG+L9nM49mzpwc4SaPxwODwYDBwUGsW7cupI/d5fJmvwwMUCUue7svXQq4XA4cPHgQ\nM2fORE1NzbQ26BLCkIx6hJjNlH7X0eG7sWXx3/seiXnt2UNlz/6ZL+z3KpW0Uj9zBnjppeApnsXF\nwH/8R3zPKRrsdjsaGhrgdrtRWVkJnZ+IzblzlIkRiM5OCz7/3AiNJgXV1dVT3uUSKxiGnnz8F1E5\nOcDatZN9drFFMuoi4vGQ789qpQYJU7mc+e9/B1pavPnpGg1lG0QyQXV2Al/7WvDX1WpqbJ1si1Wn\n0wmj0Qir1YqioiLo9Xqo1Wq0t8vHJzCPx4OeHhtOnzbh/HkzcnJ0ePDBSixePHWzXALh8ZCbLdox\n09IC/PjHZMDT0iYqNS5Y4BsHmopIRl0iIlpaKE+dDYqy4l2sQuOGDfxlcz0e4P77KYd43jxfpcar\nrqKnmWSGYRh0dXXBZDLBZrPBbJbh1CmKE6hUDBYuVGP1aj0WLCiYloVFALkp6+vJ8LI9SbkZMHwT\nEIaHaWGVlzd9uyOJbtQNBgO2bdsGt9uN+vp6PPfccz6v/+QnP8Hrr78OAHC5XDhz5gx6enqQ45fr\nJRn15MPh8Br4BQuEtZPr7qbVVLi0tf37gUOHaKD7KzQmS+bRyAi5ByT9dC/vv0/VoMFYsoSaUUuE\nR1Sj7na7UVpaisbGRmg0Glx//fXYvXs3yoIs2Q4ePIif/exnaGxsjPrEkhUh2iYSFGBkg88Wi29/\n0pQUYMuWiS3uJBKfxkbgl78MrtB4yy3As8/G95ySFVEbT584cQIlJSW46gvx6Lq6Ouzfvz+oUX/j\njTdw//338z/bBOG//5uCn9wcdVah0d/vyzDUHci/R+nly/S1vx/Yt08y7HxJSfF+3lzfKMNQ8DHZ\n/O4SxO23k75+V5dXnZH9arVKfUljSUij3tHR4RPp12q1OH78eMD3Dg0N4S9/+Qt++ctfBt3f9u3b\nx79ftWpVRE1+Y8HatUBFhbdl3fvv0/d9feRTfvxxeh2gwOH3v0+uiWBcuSL1LA3F8DBVkZaWBg/E\nsmXhyczQEGUCnT5NCwA+aZxTCYXCO2GvWOH9vccTfAUfipERb9YLV63x1ltjVxg3GTQ1NaGpqSni\nvw9p1IUEeQ4cOICbb755gi+dC9eoJxK5ubRxO/4AdBPZbFQZxyUvL7hRl8mSz6h/8AFpybNZL2o1\nTWbRBqYYhgYdq9TY3k7fX75MK7XvfW9qZRT19dET3+nT1OWno4OypioqgNtum+yzSxzkcmr5x5fX\nXgPeeit4ZbFWO7WMuv+C98VQwYkAhDTqGo0GFk4Nt8ViCSpJumfPnqR0vYRixozALbWuuYaMEldc\niE2xys1NPo2KM2eAI0cm/j4vj4x8bS35QIXyzDPAxYuU9TJ/PrByJcnuajS0inO7p04FLsPQ/6tW\nkxHfupW6RUkKguIQSirCbo/feSQDIQOlLpcLpaWlOHLkCNRqNW644YaAgdK+vj7Mnz8fVqsV6UFS\nAKZLoDQZ+bd/ozz1YGzdGlkrueHh0Bkhf/kLsGvXRHVGrZYEn5JtcpwqE1S09PdTOqzQPrXBOHyY\n6hpSUnwVGtl8db1+aq3U/RE1UJqSkoIdO3agpqYGbrcbjz76KMrKyrBz504AwNatWwEAf/rTn1BT\nUxPUoEskNnffTSlmbPpiRwdlpLAKjXzUGQMR7nawWsnvfO4cbVwUCmDzZuC++yI79mQQb4Puny/P\ndZcyDAO1Wg29Xo+Cgvjmy3/6KfDKK952dVx1Rp2O3JlCAuBVVfSUN3OmFDjnw7QvPnrzTeDYMd+s\nFzYLJtmLZKLB5SLXic1GK6FYfBbh9HaeegpYs0b84yY7TqcTTU1NsNlsPpWt/kbdZrPBZDLBbDZD\no9Ggqqoqrvrtg4NedUZub9KaGqCuLm6nkfRIFaUCeeklChIGIjubXA9C/MkMQwFW6aElOAxDE0Zb\nG1WYXrw4UaHx0iVyC5WXT/bZRkdPDwVPT52iAOpjj5GGUCRwNWiqqqoEtdyzWq0wGo1QKBSTrkHj\n8UgrbiGI6n6ZDgTq9sPS1xfYOI+OUq9Sf6VG9vuCAmDHjtidczIxOkorNH+1RjZ76Mc/Bq6+mjYu\nIyPJ51MHaDL6+GMy4KdPU542l1OnhBt1rlrkhg0bwnZkCoRWq8XmzZvhcDhw6NAhqFQq1NbWTopa\npGTQY0sSDhtx+eEPfVUZrVav/snoKLlh/BkboyAfG7C5+mpfkSFple7l+98P3ay7rY3cO/4kq87H\n0aMT+7xyaW4Wtr9odd39yczMxKZNm9DW1oZXXnklqXTdPR4qSOOqNLILqs2baTElIblfguLx0KpL\naFAn2fjTn2hFyc1RV6sjV2j0Z9cu4I9/nPh7lYpSHdeupXZ1U4XmZoArj6RU0qS1eDG5kkpLheVo\nHz58GOXl5eNV3WLS1taGM2fOYK2I2rWXL5Oh1WrFXdz84AdUFJiVNTEDJi8PuOGG5NEKEorkfhEJ\ntj/mVGfFCuo+09FB+eqNjd6nFLUaePjhyH3AAOWnq9W+So3z55NhS09PThdLKBYuJLmDsjIy5AsW\nRP4/2u12DA4OxsSgA0BxcTFOnDgBu90umo/9b3+jzBeAxo+/OqNOF5mxf+opICNj6t0vsUBaqUsE\nhFVozM+PTbn+b35DVYJz505UZ9Rqp1alaaTs2bMnYh86XxwOBw4cOIA6kdJRduwg12Qw6urIVSLB\nH2mlLoBYReGdTsrxzsgQf9/xIjOTVp2x4rHH6Cmgs9Oryvjxx8DBg/TzN785UbZhOuF0OuF2u2Nq\n0AHysbvdbjidTlHSHXNyaFLu7PTWOXDxaxolEQOm9Ur9u9+lQB03N53dwvnSbTbyn/r3Ke3poR6V\nGzcCDz0Uv/8lGeBbLDN3bgEA2ZSNZfT2kv83lJLn22+/jfLyckFpi5FisVhgMplQXV0t2j5dLnLp\n+eeoP/ssNU6R4I+0UhfACy9QMJTNeLFagePH6evgIOWwB9J+AWhV+fLLwfct6VF4CVQsU1m5Ck6n\nDEND5CfNzqZimebmZhgMhkkplokVFy96UxxPnyaj/tOfkmhaIBiGgdVqxZo4VV7pdDo0NDSAYRjR\nKk9TUsh4i2nAuX1KuZkvdjsd7/HHxTtWMjOtjTobDJ07F7juOt/XhodDizGFUmFMSaGVSqJz5Ajw\n9tvejBc2A6awUFiGRjDYYpnRUTeuv74KS5fWYGiIVCw7O6nnZEYGm2kjg0ajgeaLHFKr1Yp9+/Yl\nRLFMJBw/Tno6p0/TvVBRQdu6dWToQj2FdHV1YV6cl7NFRUXo6upCYbCZZpKx26kQkG0E709WlmTU\nWaa1UQ9FuAi9RgOsWuVNreJ+zc5OjjTI8+fJhRQodzo/nxQVI3ki9y+W8XgyYbFQQZFKRUY8I4OM\nerCFYSIVy0SC00l6OnV1NFkKWQCbTCboAyXvxxC9Xg+TyZSwRj07O7hBB8jlOTpK99R0RzLqEaLR\nAP/8z5N9FtERqpq2pyeyiSlYsQy33L+9nRpdp6RQkdGMGTSJsl+VSq8RTNZimcrKyP/WZrPFvYGM\nWq2G0WgU/HfcOMlHH9mgUMiQlcU+6YknKpaSQouB4eGJOersz5JCJjFtjfrwMN14SWAfYsZTT1H8\ngFVmZFUaWYXGQNW04TAYDFizZk3I3OrhYfrqcpGP1F8re/78ie6t4uJiVFdXw2AwiFosk4jIZDJe\nBlDMfrhyuVyQ0Q0UJyktXYW+Ptn49VUqGfT329DU1IyODgNKSzVYsybyOMnOnTTxS8Y7NNPWqP/q\nV+TzZP3I/tkv0yFPmm3u4V9cxDaD9u/4FA6+xTJyOW0eT+DXg7m+YlEsMxkwDE2iHk/kvTrdbpK4\nzcujezheRTn+omI1NTU+r6vV9P+5XMDwsAzDwxoUFmowPAykpEQXJ5HkN/gxbY261Uo+uPZ22vz5\nzneAZcsi2zerUaFUJufkwDaDFkpDQwM2bNgQ9n2lpTTwh4cpAHb5Ml2LrCz6XSjdl/Xr14taLBMP\nPB66x06d8io29vWRi+aZZyLbp0JBgVebjYx7QQEF/GPV8FyIqJhMRkkGqamkge5Fi4ULkzdOkixM\nW6Meqj0WwE8c6OxZwGSaqNR45QoFBP/xH4GbbhLnfBOdcMUyLhcZsuFhaowxNESGnCUjI7Cwlz9i\nF8vEEqsV+O1vyZAPDU18/fTpwN2SGIbhlV6YlkbSxQUFdKxPP6WV8uzZNJEMDHjjFOHweDzwBHl0\nkkTFkotpa9R37iTDzlVmZLeuLn5GnfU/5+dT9SUbtMnNnX69KY1GI6qqqoK+PjZG2TbBGB7mX+Fb\nWVmJY8eOiVosEwsyMkiEKhBZWXTPBNLeV6vVsNls4+md4Zgxg4x7dzdw4QJtLIWF/Ko4Qx2PT5wk\nEiKJk7hcE3PU2a2wEHjwQVFPMSmZtkYdoNV0aenE/oZ8jcutt9KWjPzmN8Ann9BA4KozRqLQyKdY\nZsaMiX50mYwMWmYmGUC+RXOxKJaJBbm59HnabPR9RQWJfFVUkKENdo/p9Xo0NzfzMup9fVSpGehJ\nAKDVOh9MJhMqKiom/J5vnKS3l/z8bBYT34W3kDjJqVPA//pfJEXgn0pcWkpxMYlpbtSDMR2eBL/y\nFWD1am/GS3Mz0NBA34+NkXysf0FWMPgUy8hk5BYYGiI/66xZZAAitcmJXizD8vTT9L8WFPD/XwsK\nCmAwGCb8nmGA1lYyarm5tD+5PLBBl8loopw5k19DbLPZjNWrV0/4Pd84SWen7wTCun3YLTs7eDCX\nb5ykvBzYt296jM9oCGvUDQYDtm3bBrfbjfr6ejzHFYv+gqamJnzjG9/A2NgY8vPz0dTUFItzlRCR\n9HRKHQwkgzA4KCybgm+xzLx5pLXT00OTR6Ac9fR0foM20YtlWCJpx8dW11qtVh/tl95er6uhs5NW\npmwzZo+Hnniysuh3KhX/a2ixWKDT6SY89QgRFWPTGFlGRmi7coV+rqgIfj584ySSMedHyI/J7Xbj\nySefhMFgQHNzM3bv3o0zZ874vKe3txdPPPEEDhw4gFOnTmHfvn0xPWEx6O4OXZ0WLQxD0rVmM3+X\nQiKhUgnrPGSz2aBWq3m9t7gYWLoUuPZa0hpnV5y9vWTw+corsH7nqUpVVdWEYiBua7yhIeDcOQrW\na7X0eVZUUIpkTo6wSfnYsWOoDFAtFS5OwsIw9BSWkxNcXiLc/cTGSSSiJ+SlP3HiBEpKSsb9aXV1\nddi/fz/KysrG3/PGG2/g3nvvHV9R5IcSRUkQfvUryhTIzvbNT2e/z8vjvyp4+20SbPJXa2RXLnv2\nJGdaoxD4FstwUSjIPRCpPLHQYplEw+OhAP2pUzTRcYYUAECpVEKhUMDhcIyvlBcupBV6d7c3NjEw\n4N10OuFtAB0OBxQKxYQVshBRMZnMNxjrdtMqfXiYNpcrfKplssRJkoGQRr2jowM6ztXSarU4fvy4\nz3taWlowNjaGW2+9FQMDA3j66afx1a9+NeD+tm/fPv79qlWr4l4KzfKd79CNd/GiN+PFbAbeeYe+\n//nPadXBhz17SOkxGHZ74hl1qZt7/HG7yR/OKjU2N9OEtngxGfVAVFdX49ChQ9i0aRMAWn3rdJSP\nbrPRfcc+CV65ElltwcGDBwNmEUUjKqZQ0D0v9L7nEyfxeCg4HEip0W4nyetoOnUlAk1NTVG5sEMa\ndT4z5tjYGD788EMcOXIEQ0NDuPHGG7FixQosDNBhgWvUJxuFgjI/CgsjLzICaFUfyKgrlRSZj6Wb\nJ1L27QMOHJiozsh+L4kiicvJk8BPfkIuiooK4JZbqIYhXEFlXl4eVCoV2trafPLD/fPTL1+me83/\nqcflohV8fz+5ufx7eLa2tiIrKytg1kmiior953/S03Ewli9PfqPuv+B98cUXBf19SKOu0WhgsVjG\nf7ZYLBNE+3U6HfLz85Geno709HRUVlbik08+CWjUpyK33UYdevyVGjMzE1ejwmYjH3Zvb2CFxq1b\ngfXr+e+Pb7GMmIQqlkk0yssphdS3upIftbW1QQt/ZswASkoofsPKPbOumP5+WlCoVGTM/SfqtrY2\nNDY2or6+PuBxE1VULDc39D56ekQ8oSQlpFFftmwZWlpa0N7eDrVajb1792L37t0+77nrrrvw5JNP\njkevjx8/jn/6p3+K6UknEnfcMdlnIJzu7tCvC5VVEVosIwbxPl40RON+O3xYDo2mHqdOGXDy5Ems\nW7duQjZKZiY9LV64QEZ85kzKNMrMnOhmczgcOHjwIGbOnBmykpNvnIRhaJGQmurNXopUh4ZPnCQv\nj/6/QCqNeXlSuzwgjFFPSUnBjh07UFNTA7fbjUcffRRlZWXYuXMnAGDr1q3Q6/Wora3F1VdfDblc\njsceewzlkeRxxQmLhW683Nzp61f+wQ/ICHR2+qozshWyPBNZxhFSLCMWwYplphp6PfDaa3J0da3F\nhg12/PnPB+DxuFFZWekT78rNDR3gt1gsMBqNSElJEbXpiExGLsyBAfJpsymM3Bz12bPFe2qtqQFq\na8XZl9jwbdcYrQxxOKZdj9JnnwXOnCGft3/Wi0ZDK5zpVuLPxeXyqijyhWEYvPrqq9iyZUvsTsyP\nXbt2YcuWLUmdKTE6Srryp0+TMdy6Nfh7P/kEeO01uj51dU709xvR0WEdl71Vq9U+q26PxwObzQaT\nyQSz2QydTofKykreejlvvPEGHnjgAcH/E5vOe+UKbXI5BYP5EulxJ5NAMsRqtXqCUedeDyHtGqUe\npWFgG0M4nZSN0Nrq+/ovfkFBqGhxuSiANTgYvM9pIhLJo3OwYplYEaxYJtEZHiYBODYD5uxZqt4F\nKHD/4IPBxbeWLqVg67vvAq+9psSsWWvw4IMMsrNpZWg0GgOuDCsqKrB69WrBn1WkcRKZjFxAKhW5\nQoS0dUymOAkQXoaYSzzbNU4roz466tV7DqSJIZMJdz2MjlImCavQyKZYDQxQeXhREZBAST8xo6qq\nCvv27cPmzZtjfqxjx45h48aNMT+OmHg8wCOPBFcHdbvJ4F9zTfB9yGTAypWU4fHXvwIdHTLo9YUh\ns0W6u6kX7Wef0bG//W1+5ytWnETIIiFZ4iRCZIiDEct2jdPKqKelAT/+MX3f3z9RoXFkRHg6n1xO\n+1KrqScl23giJydxfPZcX9+FCzakpsrGfZxi+foCFcvEgmDFMomOXE6iUx98QD8zDAOnsws5OSao\n1Tao1TJ8/DG5Bvv6GGRlqbF6deBrolAE7x176RIV1p06RV8vXvS+JpPRYsM/tTEQfOIkAwM0XsS6\nFHzjJKwOfyClxp4e4J/+KfLmI+FIBhniaedTn04E8vWNjqrR0yMb111RKhn09trQ2mpCV5cZxcUa\nrFoVWcsxu92OI0eOjBfLxIK9e/fi9ttvT8rOR//3/wJ//asTGRlNyM214ZprirBkyUT/67lzDM6d\ns8FmM2F01IxFi/j5Xz0eYPPm0L0CvvUtYMWK8OfKJ07y6ae0EMrIoKfSaEXa+MZJvvMdkkwIlP2S\nn09xsVjVWhw+fBjl5eWiyxADlGZ65syZCTLEkk9dIqyvr6jIK7jkdMqgUmmwaJEGRUVAWlrkvr5g\nxTJiEapYJtGx2+0YHW3AypV0TbTawP7XwUGgt1eGOXM0mDOHVsljY1a8/vo+ZGSEviZyORU3cYu+\nZ8ygPPmrr6YnyQUL+J1vuDjJ8DDdP4C36UlHB63aWQOvUvE38ELiJAJrcUSDrwxxpIjVrlFaqU8h\nuL6+QPnMfGBlWiP19Yn9eMrS1taGhoaGpOuSI/SajIx4q0S5yGRAVpYDH3xwCLNmBb8mb71FchdL\nlpAhLymJPG/c6XQGjZM4HHSe/f2BRetSUig+wNeov/7669i4cWNCu9X27NkTsQ+dLw6HY4IMsbRS\nD8GHH9IjWmFh7EvhPR664e12eiQVGoAVfjxxjCk7CCP19cnlctTX18NgCF4sIwS+xTKJSCTXhFsl\narHQPQSQ4ezvz8R1122CUhn8mtxxh3gFcaHiJJmZFCNg2xReuUJf3W56XUijlWSIkwiRIY4GMdo1\nJuxKPRaJ/C+9RPKu3d3eLuzcPPUlSyILbra0AH//+8TADZuutm4daX3Eksnw9YWD6wbyL5YJR6yK\nZeIJn2vi8ZDLhS3vVyhIjZGlv5+Mu8NBP+v1VFEZ6TURipA4CbuQ6e2lYii+sgjJECd5++23UV5e\nHreUXZPJNC60lvQr9UDBvVWrVgVM5G9ubobBYOCdyP/ss/TV7SbDzma/tLYC771Hj6uR0NEB/OEP\nwV+PtR4FX18fmzMs9HE8Ul9fXl4e6urq4HQ6YTQa0dDQIKhY5r777kvo1Vsogl0T1vCxRnxoiJ7k\nsrJIoEul8t3PzJnkE79yhf6ONZSRXhO2OMj/OMEQEieRyynri6/CKRBZnMTj8V08+WfAKJXAd7/L\n/xzCIUSGWAyilSFOmJW6f3BPyIxotVphNBpjksjPh1OngP/5Pyf+XqWiaPySJcDXvha74/P19Vks\nJA2Qmko3PpsBw92CPakE8vUJJVHKqONBsGvidlNzi6ws2thg4uAg/Szk3+Z7Tbq7fdMc1WqSiuBL\nosVJenqAUMXLmZkkiS0WnZ2daG5uDtjuL1Y0NjaioqIChYWFybdST/REfn7HB776VW+OOpteJbRh\nQSQI8fWx2QpjY7T5p77Nm0da3YEQxdcnk6GwMHSxzFQg1DVRKCY2xBgZAdrbabLV6fivooNdE5cL\nMBq9RnxsjBYWS5YAmzYJj+9w4yTvvnsSFRXroNFkCu6wxBJtnIStAQlWfOpwUHZOsOpcoSSqDHEw\nJnWlnmgrgGREiK+vpYX8ncGueGkpdYMKhr+vTyIwkfhfGYYKhzo6yKhrtfyMUqBr4vGQ3MXChWTI\ntVrxBLVsNjt27WrAyIgbK1ZUoqREh1mzQrey456rWHGSbdvIsAfKVWeTIcQa+q+//joeeOCBuEtL\n7969G5s3b06ulbrBYMCaNWtED+4VFxejuroaBoNhPJB0/DgNEo3G2xcz2RHq61u4kIzH6Kg3T527\nhXuykFqOhSdS/6tMBsyZQ8bJZqPK0pwcul9DGctA10QuB55+Opr/IjhqdR5eeIHiJA0NRvzpTw3I\nyyuCVquHVquGWi0fl26OZZzkZz+Lehe8ESJDfOUKTcrRZtdF065x0ox6vBP5f/lLb+4vm2LIVWdc\nsSL5Ov5E0nJMJiMjoVSGXpUHg0/LselMJNdkbMy31+jQELlo+vrIuC9ZErrH52RcE6VSifXr12Dd\nOoqTNDeb0NBgREqKDGyb4mhFxZINj4cCte3tdL3YuMnMmWRb4vXvT5pRb2howIYNG2J6jPXr1+PA\ngQO48846n2KO4WHg/HnaWN58U/zjO53eyPzcucH91ZGSbL6+6QDfa8J2nurv98Y6uAwN0aJDrQ7v\nRhB6TTweyvgqLIy+fy43ThLHOGJCwqajMgzZmIEBmpitVjLo8WriMSlGPd6J/AMDTtx2m3JcuMs/\nQJiXF31Q5f33KS2STbHq6SE3B+vvu+ce8Y26kJZjIyN000WrFc+n5dh0hu816evzFdvyZ3SUvvLx\nC4e7Jh4PrR4//ZTUGk+fpmDiM88AlZXh98/idod+YpiqCJUhlslIDycjg8Y8w9D4i5cM8aQYdaPR\niKqqqpgeg02fS0tLw86d/4aSkhLMnUuly8PDDFJT1UhL02N4uABpadE/FymVVAm4fLk3C0aI9kUk\n8PX1Ad4VAxtEitStGY2vbzrA95qoVN62gjIZrZi5aY5CskqCXZMPPgAMBsqCCSTy9dln/I26x0Np\nufPmkavyhhuE5aOLzegoxR4CqTTa7dTDQKyumtHKEMtkwheN0Rwv7kY91on8/sVLK1euxA033ICi\noqLxG9/bhaQZZrMBc+Zo4HRGpkzIwqaMJSpz51Lpdnc3DfJZs8i4i5X2JSGMmTMplpOVRQY9Fivg\nixfp6TEQeXn8UycBauhx8SJtJ0+SoSorIwO/YgXdS/Hk/HngP//TN/Nl0SLgxhu9iyqxSLZ2jXE3\n6pEEkvwZG5voRgilTHjp0iU4nU7M+CK9I55dSBKJtDTy6RUWknE/c4aMSmGhsAEuET2pqWTUYwm3\nQnrWLO/CY8kS8tULeeAymXx/ZhiguZm2XbvIsH/rW+KcNx/KyoAdO+JzrIKCAhgMhpDvYQPcWVnR\nyQ+zmM3miIudwhp1g8GAbdu2we12o76+Hs8995zP601NTbjrrrsw/4uebffeey9eeOGFoPuLNrg3\nOEiz9NVX0wfHp3hJpVJhcHBw3Kj7M9nFS5ESacuxlBQyKAUFlBt98SJ/o55sLcfiTaTXJBqCXRO1\nGnjqKTKA0eaq33MPrYLfe4+25mbfeoc4SKJMGnzaNfb00FgCaHyxrrSsLPKtC/nso23XGNKou91u\nPPnkk2hsbIRGo8H111+PO++8E2V+JXFVVVX485//zOuAQoJ7/jAMYDZ7Vxl8ipfoxpuBK1fsyMgI\nXQovdhcSt5vyVllf34oV4j5mR+vrUyjIsAshWVqOTRZitYETQrDjyWSAmF7OggLg7rtp6+0lN8x7\n76IRC/cAACAASURBVAEffcSv8UYyE65dI7c9psvlbbwN0DhbsIB/DCLado0hjfqJEydQUlIynkte\nV1eH/fv3TzDqQqqdhAT3/Ll8mQI2rL+MW7zkdpOxDrRrhpHB6QQ+/5zSDNPSyLinp9M2e7bv+wMV\nL/Hh97+nYCQbrLlyxbeU+Xe/i6+vz+mkKtKCAvI5irF4jMbXNx1INv9rpOTkUEu96mpK30tS3TXe\nhJIhZhgqHGPrDPyzXNxu/p+PGDLEIY16R0eHj1yqVqvFcW5bFZCRfuedd7B06VJoNBr85Cc/QXl5\necD9bd++HZ999hnOnTuHVatWCVqxezwkSDV/PhknbvGSx+OVLU1P980cYNOLcnLoEdHjIWPn7fwT\n+HiRqOAdPw5cuBD8dbtdXKMeztfX1UV+vtZWSuUsLKTjR+NVisbXNx3g438Vm0iuicdDbszPPgNW\nraIq60iZrGB7Tw9lwARTa/za14CbbhLveNXV1Th06NAEGWKZjBZOBQXeHHVWTpnVw+erA3Xw4EFk\nZGRgexTd6kMadT4r6muvvRYWiwUZGRl46623cPfdd+PcuXMB37t9+3a88cYbeOCBB0LuM1A+bFcX\nZQmw0qPc4qWREfowXS5vsCLYqcvl3hV6ONjiJb7KhHl5E436rFneCH20OeL+hPL1sdVtLE4n5Sp3\ndNDNN2eOcFdQtL6+6QAf/6uY8L0mgXLV8/OBxYtD50/39tI9XVEReQelWLF7N/D228FfF1vymo8M\nMTdHfc4cr13iM2RYGeK1a9fizjvvHP/9iwL794W8TBqNBhaLZfxni8Uy4UbN4rQmv+OOO/D1r38d\nly9fRm6QqT9cIKmvj1YQajV9KHI55aR2dZGuNOBbvORyeQs1AJoR/XcdqWaZUGXCu+4Cbr/dV1go\n1gMhmK9PLqdgcnc3bezAHRujJx6bjQJoGRn8jxWtr2+6EM7/KiZ8rsn+/SRFm5NDmS+33koBVD4+\n3kuXgP/6Lxp/119PdRjXXhsfBdJwhHvqjUUfg9raWkEihDIZv8VcW1sbGhsbUV9fH/U5hjQ5y5Yt\nQ0tLC9rb26FWq7F3717s3r3b5z3d3d2YM2cOZDIZTpw4AYZhghp0IHQgiWHI4LhcFBDt6iKXycgI\nXUD2RuIWL7GrdIAMaKAPcGhoJGjmSzgqKytx7NgxXsqE114b0SGiIpSvzz/LpbPT240pJUXYY3My\ntBxLFEJdEzHhe02WLwduuSUyF8vChcBPf0oG8r33gMOHgZ//nCaHFSto35x1XVzR6WihF0ilMT+f\nnpLFJhnaNYY06ikpKdixYwdqamrgdrvx6KOPoqysDDt37gQAbN26Ffv27cPLL7+MlJQUZGRkYE8Y\ndfpQgaTRUW+PQ/bn1lavuiIZb2/xEqsLzhIoP3RoCOjsHERmZhZGR8noC/EeJIMyYTBfHwub5TJn\nDrlkbDbhecoHDx6UJHcFEO6aiAHfayI0wykQ+fnA+vW0DQx4ZTFUqsnLfLn5ZtrijVwux9q1a2G3\n27Fz5wFcueLG3XdXoqxMxztHPZbtGuOup84wDF599VVsCdK6xOPx6kr7+/pI8awTJlMzbrttNQYG\nvJOAUjnRlcAw5BNsbTXD5SK/o0Lh2+mHj3HjdiFJVA4fPoyysjJej4TsFedr1FtbW2EymWLeD3Oq\nIeSaCEW6JolBby9w/LgTBoMR/f1WlJcX4frr9ViwQI3sbDkyM73p1/4yxJWVlbyefIXqqU9Kkww+\nTQTcbnIXdHV50wJnzQKs1qNYtGgR5szRjOtZyGQUQPV/cnE6gStXhtHWNgiFwi9vEeSC4OMysVqt\naGlpwa233srrf2Vh+0GyUfnBQSBWkjdszv5111VDpyuOOsuFZTo1HBGbRG8C43RSVfFnn9GiKIYP\nFdMChmFw5kwXjh414fPPbRgYkOGqqyhjL5p2jUlh1J1OJ+9A0tgYrdovXaJI/R/+4O1C4nJR+lBq\n6sTADcNQOpHVaoVSWQinU4GREV/3jkrlDb6GgtuFJBQuF3Wc4So1KhRef19BAfD1r4c/XqR4PB78\n7ncGWK2DqK5eh+LizIiyXABfX19NTY1k0COEW/Espv81kmsyOkrl/mwGzLlz3qfh2bOB3/7W+/Q2\nOko/33ADBdzFztyKB0KfSGN1DtEePyk6H/kHkjye4KvK1FTgqqsoYJqS4lu8lJISvLx9bAzweFzI\nyZFBoyGrxjD0ezZHna+x46tMqFDQAOAGbIRkl0SLXC7Ho4+Sr2/PngMwGNxYvrwSS5fqUFDALxMn\nlr6+6QjX/3rgwAG43W5UVlb61H+EQ4xr0tsLPPKIbwyKy6VLlCXF+t8/+oiCoocP0z183XXkO1+2\nLL73dDja2+mJPliu+ksv0Up5spiMCWXSepTa7XYcOXIEGzduwmefeVey4QwPnzx3dpXe29uBwsLZ\nSBOhpRGf4yYaTqcTf/yjEe+/b0VhYREqK/W47jq1zwovGl+fhHCcTieMRiOsViuKioqg1+uhVsfn\nmjz2GLkzucybR0/AV19NstRsRtTPfw40Nk7cR0oKsHQpcMcdlPky2bAdzfx7lebnU7ZPLAujxFiF\n8yEpVuqAN5H/woU26PXF6Oigx0JufnqkUO66AzNmpIhi0JMVpVKJuro1+Id/YNDc3IW//92Ec+eM\nPk8d063l2GSjVCqxZs2acb1/k8kEozE+12TJEjLKS5aQEV+8OHiuem0tJSa8+67vROBykU770qWi\nnFLUxNKdGY7t28mdu3gxbYsWJUZLzEmtEeMm8s+fX4yhIdJO6e6mFMZAeiV8VPDGxoYwNNSDoqIi\nUc4z0ZUJ2fz+YP+uTCZDRUUhKioSN3tnusFtAxcvnniCv8uxtJS2LVuoopRVZ2RbQE51Aa9wjI5S\nXGJsDPjkE/pdairl9S9ZQhW47CQabybN/cISKJBEAU7Keikp8Q2CHj1K2S+B8txdLhe6u7uRmpqK\n2bNni7bCiTT7BaCLz/X35eWJ30zjww+B73yH/J333ccv+CshEQkXL5Ixm+7yP2fOAM8+G/z1tDRg\n715xjHpSZL8EgtvkorKyElqtDr291PGe64rp7OxEc3Ozj4DR8PAw7HY7ZDIZZs8Wx4fORUie+qlT\nwB//6M1+YQV9WFatAv75n0U9PXzzmzTQWCoqyLhfe+3kRv4lko94+YnjhcsVu9VyTw+N99On6avV\n6n3t6quBH/xAnOMkjU99507yyy1fznbazkNdXd14IKmhoSFgIKmgoABvvfUWhoeHMTg4iOHhYaSn\np6OwsBCKGHXFFaKCNzQEnDgR/HWuyJYYjI7SxCeTeVO4Tp+mbcECYONGYOVKcXLWJaYWDMPgwoUu\nHDliwtmzNvT3y5CVRQHTaPKq44nTSQaV+zR8+bI3CyY7G3j55dgcOz+fFmms2Gxvr3fsieT5jYhJ\nWal/+qm39ZVeDzz8MK0uuXADSTabzeemOnPmDDZu3IjS0lIolcqY3nAWiwUmk4l3iXxrK/D0096f\nFQqKwrN9E+fPJ0MrhFCfBTv4srP1+NvfCnD0qMwnFx+gDAEBGXQSUxiXC/j4Yyf272+C3W7D/PlF\nuO46PUpK1MjOlqG/n4xiTg6DkREbzGYTLBYzNBoNqqqi6+MbCy5fBh56iMaB09kFj8eE9HQbMjNl\nkMtpMbN2bXJMUMFIaPfL66+/DoZh8Ne/qmE266FUej/gG24AHnyQUqzCIaR4KVpef/11bNy4kffN\nPDwMfPyxN7UqJyfyVbJ/E232qcXfqHPT31QqDS5erMLRo0o4nfHvHSmRuNjtduzf3wCTyY17762C\nXq+FSuUbPGWroHt7yWC63VTJ7XBY8eGHRqSmJlYf3+FhJzZsaMKcOTZ86UtFKC/XY/Zs7xiRyYBr\nrmHQ3e0dI4k6QQUjoY06m7ly4YINRqMJDQ1mdHZqoFRWQaFQQiajAMzmzeFlNffs2RO0J6lYOBwO\nQXrqYuHfRFuILrfVaoXRaMToqAIjI9W4/fY8LFwYw5OVSHiiqWodHiYDf+UKfV9U5MDRo5Pfx5c7\nRoqKqqDRaJGaSgFKdktNDSzgx46RSBvNX75M6Z7xqrJNeKPOxekETp604o03jGhtVYBhqpGWloef\n/ITSqULBFi/FUgVv7969uP322+O2KhEy+EJV4QJIuibaErFBTP2Z0VEKOsrlk6cJJLbsQiRj5Ne/\npsKshQvJbbx4MdmrWC38k8qoswwNAWfPOvD73x/C0JAKv/wlvw94KqngCR18FgsJhBUWegOlgZAE\nuaY3hw8fRnl5+XifYT7wlahua2vDmTNnEnaM8CWSMeJwUFojm/nS3g4UF5ORv+ceb4c2MUhKo87S\n3w90dLThb3/j9wEn0kUOhsdD3Zy4UfmSkolPIkIHH8NQdL+zkwafWk2+z0ADMd6DTyIx4Ps0OzZG\n7pWeHgqkjozQ6pOPxks8n2YjmaD4Eu0YGRkBzp4lI3/33eLq4yS0Ub94kUF+vrgrgERSwWMxGkkI\nqaeHBkt6ujf7JS+PutBwC5CicSWxmvE2GwW1CgvpGP6nHm9XksTkEyru1NdH901/P/nK/cnNpZTY\ncGM1XnGnSMcIw9DCik+2c6KOkYTOU+/p8baoy8kJfsMUFxfjxIkTsNvtYT/gRFHB41JSAnz1q15R\noXC1UNwm2kKRyWiFnpNDHWlsNnoi8H8SENpEWyK54fbxDcSVK1QdGozLl8ngz5pFW6B+BYDwPr6R\nEmqMjI3RuY6OerexMe9XdoIKx1QZI3E16no9rRAsFnIb6HTB+xsK/YD5Fi8BgVXw7rvvPtFuSo2G\nNj6EG3x8YRuFzJwZuDt8vAafRGLA7eMbiKwsr1HnFq5xcblIkvfSJfIXz57YZwaAsD6+kRBujIyO\n0iTFZr+oVL4ZMHwfuMONEY+HxMzKyoJLficCcTXqMhmtKLOzadV+/jz5nrTaiT6oSI3QZKrgRUK4\nwceF7QY1Z07o1X+wsuhYDz6JxIBhvH18gzFzJsVhsrIwnqvu8bCS1WQkudrrwdQcgdj38Q03RjIz\n6elYDEKNEasV+O53yY5ddRXFHSoqaAv1+cSbsEbdYDBg27ZtcLvdqK+vx3PPPRfwfSdPnsSNN96I\nN998E1/+8pdD7lMmo1k/L48UGQcHAwcWojFCk6GCJxQ+g4/LxYvkXunspM+vsFBYGlUyNNGWiJ6u\nri7MC1PFl5pKiykucjkZp5wcKgJ0OLzGPVxOdlFREbq6ukQfb0LHSLSEGiOnTrHnBLS10XbgAP1O\nqwVuvTUxWgKGfDBxu9148sknYTAY0NzcjN27d+PMmTMB3/fcc8+htrZWkENfLifDNGdO4Nd1Oh0s\nFougfSYiQ0OA2UzdZBoagD17KDjFZ/CxeDxeXWuGIQP/6ackSzA0xP9c2MEnMXUxmUzQ6/VR7UMm\noxW8Tsevc5Ber4fJZIrqmIEQMkbEItgYycig3PRA7hyrleIQiUDIlfqJEydQUlIynkJUV1eH/fv3\no6yszOd9v/jFL7Bx40acPHlS9BOM1Qog1vz0p0BLC6UdBsouWLkSOH+e/+BjH/lsNlpBAWTcWTXI\nWbNIRCjcyp0dfMn2eUrwx2azYRWrMhUho6MUeM/N5afaqFarYTQaozpmIKKdoBiG3JYyGX8t+WBj\nhBXvGh72zVFne70uXhzxaYpKSKPe0dHhk0Wi1Wpx/PjxCe/Zv38//vrXv+LkyZMhH+u/8Y3tyMqi\nmW7VqlW8brxkNUKdnb5SnP7Y7cIGHzfLpb+f9s+V9e3v5ycxGqvBJ5E4cPv4hsPjIeM9NER9C7Kz\nvT+zBpHPfcW3j69Q+I6RwUFa7HAzX9jN4wkd6PUn3BhJTydZ62uvpZ9HRylHXaxSmaamJjQ1NUX8\n9yEvF5+LtG3bNvzoRz/y0XYJxv33b4dCQb1I2Qa34UhWI8TVrklL8+2dyPZTFDL4WGQyGnjZ2XQj\n22wU2Jo7l99KJFaDTyI56e6mJ73hYXIvDA/TwqGgIDF01fmOkZ6e4CmaM2f6NtoJh9AxkpYmbuMb\n/wXviy++KOjvQxp1jUYDi8Uy/rPFYpkgLvXBBx+Mpx329PTgrbfeQmpqKu68886A+3S7gY4OWgnw\nEZpKViP0wAMUNMnPJ99kpP/CwABF9wP58VQq6os4NJQYvRElkg+Xy+seHBrCeEtJpZKeDLXa5NDi\nD3T/z5hBLslQMhpTkZBGfdmyZWhpaUF7ezvUajX27t2L3bt3+7yntbV1/PstW7Zgw4YNQQ16err3\nBuK7Uk9WxNAvZxgKjo6NUfFEMH+5mCXJEskPnz6+LAUFtFr3b8HrdJJbga9Bn+w+vtx6l5QUqhOZ\nPVu8CWn3bgoYl5cHr61JFEIa9ZSUFOzYsQM1NTVwu9149NFHUVZWhp07dwIAtm7dKuhgixfTY5LD\nkfgfTDwIN/hkMsq/7eqioExxMa2eomGyB59E7FGr1bDZbAH7+PqTmkpPe59/7lu0lp3Nr7cBC9/j\nCYXvBKVS0aIxO5vy76NpYec/RliZgUOHKAFi9myyZYsXk5HPzY38WLEgoQS9AuHxePDGG2/gK1/5\nSgzOanIJ1UTbn4EBKtbKzY3ukTiaJtoSyUGgPr7hcLnoHhsdpSc/oS5DIX18hSBkjISTowa8NTGh\n3hdqjLjdlEZ86hRtzc30FP3974c9vYhJaO2XSIjVCiCeuFxeFTy2j2JfH7BmjR7Nzc28/r+sLFoZ\ntLZSOlVJSWT6zSaTCRX+vQMlphQFBQUwGAyC/iYlJbqnQCF9fIWg1/MfI6EMtdPplasuLaVVfTBC\njRGFgmKBCxeSxK7Hkzj56SwJb9ST1Qh5PMCzz5JuRn8/PRZylRrz84G5cycOvqEhWi0FKjtOSaGb\nqauLqtkiSd+N1eCTSBxkMhk0Gg2sVqugrlmRYrFYoNPpYpLQEMkExcXlovTfS5coQ6y4OHyWmJAx\nIpeH79IWbxLeqCerEZLLga1bvSp3gW8k38HndpNvc2SEAliB3CwyGVXhRhJojuXgk0gsqqqq4tbH\n99ixY9gotJs6TyKdoNiqa5uNFkiLF/PLEJsKYyShk5WS/QNeuJBm8VArg6qqqvE8fKuVDDpAq3GT\niR4bAxHJR3Ls2DFUVlYK/0OJpEOpVEKhUMDBlh/HCIfDAYVCEVPlT+4Y4QPDUGLBlSsUBC4u5p/y\n6z9GPvwQ+PnPgSNHaEwmg2JJQq/UY7kCiBdctUibzRZQLdLhcGBwcBBqtQojI+RvB8j/d+oUpVJF\nm/USj8EnkVhUV1fj0KFDMe3je/DgwZirfnInKD4S1WzWmFIZevHjdvsuuAKNkfffp36kjY30c16e\nN/OlooKephNtzZmwRj3ZjZDT6URTUxNsNtu4rvuqVasmGHWbzYbe3l68/PLLeOihh1BSkoeLFxWw\nWr1l2i0t5A/U6SLPeonH4JNILPLy8qBSqdDW1hazPr5ZWVlx6RQkdIIKVUHq8VBuvs1GK3k2vTrQ\nGGGVGVnsdupsxj44PPEEUFvL97+IDwlr1JPVCNntdjQ0NMDtdqOqqgo1NTVgGArYsEFQVp9ixgzy\nF95zzz04fPgw7HY7RkdHIZPJsGDBbJjNaRgdpf2ygR4h5c4s8Rx8EolFbW1tzPr4NjY2or6+XrR9\nhkKMCYphKFPFYsH4uDKbKde8rS3wGHniCeCzz8id09w8URE1SjHMmJCQeeqtra0wmUxJ1Sg5UK/U\nvj7qMj46GtgXl5NDrpWUFN8m2jqdDhcvXoRMpkB//xz09ckwf35kUXYxm2hLJCeJ2Mc3EqJpND84\nSAZ8cND39zNmAEplG4zG8GPE7aasM1ad0WwGXn459jIKCd14ms+hktEIBbvZ+vsp2BkMmYwMenEx\nGXj/wSeTyXDp0iVkZxchJ0eY424yB59EYsJ9ipzsPr6RInSC8niotsM/l5zy8h04fvwgsrMjGyMM\nEx9/etIa9WQ2QocPH0Z5efm47jzLyAg1sgAoIMP2TWR7J9IqYWKlKHfwLVu2DDk5OZg7dy6vc0mU\nwSeRuLB9fK1Wq6A+vpWVlQkT4xIyQZ07R0qmABlht9sCk8mIGTOSY4wknVFPdiNkt9tx5MiRgAEc\nhiHDnpYWOq3R5aLVxNiYb6UoO/iOHTuGlStX4uqrr066wSeRuPDJzNLr9SgoKEjYtGI+E5TD4cHR\nozbYbCaMjZmxaFH4MRKvVTgfEt6oTzUjtGfPHmzYsCEqPyXgVWTs7Jwo3DU4OIjf//730Ov1STv4\nJCRiSbgJKj1djRtvDD5GGIbB+fNdsFjo7y9dkuGzz2gczpzJoLxcjZUr9SgsjP8YS2jtlzfeeGPc\nCFVUVGD16tVJbYScTifcbrcgg+5wkO5EsErRrCyqKvV4KCcWAFQqFWbOnImVK1cm7eQnIRFLIm00\n73Q6YTA04fhxG/Lzi3DvvfovGlTIMDJCImf9/QzOn7dh795mWCwGzJmjwf33V2HevMQci5Pufklm\n3n77bZSXl/MuXx4Zoah5RkZofXSXa2JPRYvFApPJlJRpnhISiYbdbsdf/tIAm82Nioqq/9/e3cU0\ndb9xAP8eaMcFlYX457UUcPLSwrDoIGzZRBNeo/sjTkOIhhgD05h4YdzVLpbNXRi4MmaaxUxJWHQb\ni2bgVBrrJpWYKEtWxzKougnpC9QljUZaMl7a3//i/MsoL21P6eG05fkkJtCe9jw5nj6c/s7z+z1Q\nq7OgVK4885Qxvort1Svg8WMrHj40QKmMX5Mh44i+Uo8ljDFYrVbU1tYGtf3cHJ/QPR6+rOq33/gT\nKCdn6WzR5daCVqlU0Ov1QTc/IIQs5fF40Neng83mhFb7X2zblgiViu8u5g/H8RdhKSlASkoW3nvv\nIFwuF27evAmFQoH6+vqIKe6IjCiikN1uR04QXQT+/ptfP8JoXNpdZmZm+a4zK8nOzobdbg8hWkKI\nx+PBl19ehFyuwdtvN6GgIBGFhYET+koSExPR1NQEjUaDixcvRkzzGRp+CVGwi/fPzfFf3WQy/q+9\nt9mFd0YbwJ9UwayPTg0uCAndrVu3oNEUISkpF8nJK08amp399/MarNHRUYyMjIgyYVJo7qQr9RCN\nj48jMzMz4HYyGV+T7j1BvM0uFq6X7nLxN0cD/b9525QRQoRxOBxwOp3YtCkXGzeunNAZ479V//IL\n34xmYoIfLg10Eb5p0yZMTk7C4XCEO3TBAiZ1nU4HtVqN/Px8dHR0LHm+t7cXWq0WW7duxVtvvYWf\nf/5ZlEAjDcdxIY9te5tdqFR8suc4IDc38JVBXFwcjacTEgK9Xo/du3f73cbp5Nd38Zqc5NeJGR7m\nh1BNJsBm8+3lutD7778PvV4fxqhD4/dGqdvtxvHjx3Hnzh0olUqUl5ejoaEBGo1mfpvq6mrs2bMH\nAPD7779j7969+PPPP8WNOgYsLGH855/Qx/UIIf4FKj32trrz15bO4+ErXyYnV25Qk5iYCLfbjenp\naUlLj/1eqQ8ODiIvLw+5ubmQy+Vobm5Gb2+vzzYLD5TT6cR/Iq23U4RTKCKvHRYhscRgMGDHjh1L\nHne7+WQ+NOSb0DmOHx5VqfjP5sIyx8RE/7PDKysrce/evTBGL5zfK3WbzeazpkJWVhYePny4ZLue\nnh58/PHHmJiYwO3bt8MfZQRijK15eaHH44mYO+yERAN/pceM8UtaL7yXlZzMJ/PFS1xPT/NX6YGq\nFiOh9NhvUg82qMbGRjQ2NmJgYAAtLS14/Pjxstt99tln8z/v3Lnz/zO3opP3pmUwXc7DZa33R0i0\n81d6LJPxi+iNjfFX4NnZ/zbMWCwhIXB1mpe39Fjo7Fav/v5+9Pf3h/RaIEBSVyqVsFgs879bLBa/\nsye3b9+Oubk5OByOZWdZLUzq0U6tVmN4eHhNk6zJZEJxcfGa7Y+QaGcymaD208kiJcW7DK//QgUh\nC3yp1WqYTKaQk/riC95Tp04Jer3fLxNlZWV4+vQpxsbGMDMzg+7ubjQ0NPhs89dff83XUP76668A\nEHUrLYYiPT0dZrN5TfdpNpuRvtJdGkLIEoFKjzmOX/aa4/jSYpeLvyk6NcWPs9vt/3YsC5bUpcd+\nr9RlMhnOnTuHuro6uN1utLa2QqPR4MKFCwCAo0eP4tq1a/j6668hl8uhUCjw3XffrUngUuM4vhWd\n1WoNeu2X1bBYLFCpVFTSSIgAQkqPvROOPB4+ictkQFISP44uZAUAqUuPaUbpKkxPT+Pq1as4ePCg\n6Pu6cuUK9u/fT6s0EiLAN998gwMHDgh6zdQU36ru1Sv+97g4vkotJ4dfYVWs/a6EFvRaQwkJCYiP\nj4fL5Vr1eur+uFwuxMfHU0InRESzs4DVylfELOQdjllpBcdIQ8sErFJNTQ1u3rwp6j5u3LhBS+4S\nEgJv6XEwOG5pY2qvzEz/9ekLSV16TEl9lTZu3AiFQoHR0VFR3v/Zs2fYsGHDurj5TEi4CblpKZMB\nhYX8xCPvkHh8PN+JLMgWwQCkLz2mpB4G9fX10Ov1YU/so6OjuHPnDurr68P6voSsF97ywmC99hpQ\nUABs3cr/27aNL3sUct8zUBml2Ciph0FcXBza2towMjKC77//Hi6Xa1Xv53K50N3dDZPJhLa2tohZ\nfJ+QaBNq6fHi1VWFkLr0mG6UhklcXBx27doFh8OBH3/8EW63G5WVlT7LLARisVhgMBggk8nWpE0W\nIbFuPZYeU0mjSKanp2EwGGC1WpGdnQ21Wo3MzEyfq26Px4Px8XGYTCaYzWaoVCpUVlZSlQshYRTt\npcdU0hghEhISUFtbC8YY7HY7TCYTDAaDz19wxhgyMzNRXFyMqqoqmlhEiAjWW+kxXakTQmKew+HA\nTz/9hKamJtH20d3djerq6rAPm1I7O0IIWWQ9lR5TUieErAvrpfSYhl8IIeuGx+OBTqeD0+nE7t27\nVzXG7nK5cOPGDSQlJaGurk600mOhuZOSOiFk3XE4HNDr9VFRekxJnRBCghQNpceU1AkhRKCFE6+b\n+wAABIRJREFUpcfj4+PLlh6r1Wqkp6eveekxJXVCCIkhVNJICCHrGCV1QgiJIZTUCSEkhgSV1HU6\nHdRqNfLz89HR0bHk+StXrkCr1WLLli149913MTQ0FPZAia/+/n6pQ4gZdCzDi46ntAImdbfbjePH\nj0On02F4eBjffvstRkZGfLZ54403cO/ePQwNDeGTTz7BkSNHRAuY8OiDEz50LMOLjqe0Aib1wcFB\n5OXlITc3F3K5HM3Nzejt7fXZ5p133sHrr78OAKioqIDVahUnWkIIIX4FTOo2m81ntlVWVhZsNtuK\n21+6dAm7du0KT3SEEEIECbieupBC+7t376KzsxP3799f9XuRwE6dOiV1CDGDjmV40fGUTsCkrlQq\nYbFY5n+3WCzLtoUaGhrChx9+CJ1Oh+Tk5CXP08QjQggRX8Dhl7KyMjx9+hRjY2OYmZlBd3c3Ghoa\nfLYxm8344IMPcPnyZeTl5YkWLCGEEP8CXqnLZDKcO3cOdXV1cLvdaG1thUajwYULFwAAR48exeef\nf44XL17g2LFjAAC5XI7BwUFxIyeEELIUE1lfXx8rLCxkeXl5rL29XezdxbycnBxWUlLCSktLWXl5\nudThRJ3Dhw+z1NRU9uabb84/5nA4WHV1NcvPz2c1NTXsxYsXEkYYXZY7np9++ilTKpWstLSUlZaW\nsr6+PgkjjB5ms5nt3LmTFRUVseLiYnb27FnGmPDzU9QZpcHUuBNhOI5Df38/jEYjfRsKweHDh6HT\n6Xwea29vR01NDZ48eYKqqiq0t7dLFF30We54chyHkydPwmg0wmg0RkxHoEgnl8tx5swZ/PHHH3jw\n4AHOnz+PkZERweenqEk9mBp3Ihyjm84h2759+5Ib+devX8ehQ4cAAIcOHUJPT48UoUWl5Y4nQOdo\nKNLT01FaWgoAUCgU0Gg0sNlsgs9PUZO60Bp3EhjHcaiurkZZWRm++uorqcOJCc+fP0daWhoAIC0t\nDc+fP5c4ouj3xRdfQKvVorW1FS9fvpQ6nKgzNjYGo9GIiooKweenqEmd6tLD7/79+zAajejr68P5\n8+cxMDAgdUgxheM4Om9X6dixYxgdHcWjR4+QkZGBjz76SOqQoorT6cS+fftw9uxZbNiwwee5YM5P\nUZN6sDXuJHgZGRkAgJSUFOzdu5fG1cMgLS0NdrsdADAxMYHU1FSJI4puqamp88mnra2NzlEBZmdn\nsW/fPrS0tKCxsRGA8PNT1KQeTI07Cd7U1BQmJycB8J3Mb9++jZKSEomjin4NDQ3o6uoCAHR1dc1/\nmEhoJiYm5n/+4Ycf6BwNEmMMra2tKCoqwokTJ+YfF3x+il2mc+vWLVZQUMA2b97MTp8+LfbuYtqz\nZ8+YVqtlWq2WFRcX0/EMQXNzM8vIyGByuZxlZWWxzs5O5nA4WFVVFZU0hmDx8bx06RJraWlhJSUl\nbMuWLWzPnj3MbrdLHWZUGBgYYBzHMa1W61MOKvT8XLMepYQQQsRHnY8IISSGUFInhJAYQkmdEEJi\nCCV1QgiJIZTUCSEkhlBSJ4SQGPI/uwxmlv6UZHAAAAAASUVORK5CYII=\n" } ], "prompt_number": 33 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Matplotlib gallery: http://matplotlib.org/gallery.html\n", "\n", "If you are not using inline graphs, the graph GUI will allow some configuration options" ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Logarithmic scale axes" ] }, { "cell_type": "code", "collapsed": false, "input": [ "x = linspace(1, 5, 50)\n", "data = x**2 + rand(x.size)\n", "plot(x, data);" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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} ], "prompt_number": 39 }, { "cell_type": "code", "collapsed": false, "input": [ "clf() # for interactive graphs, clears\n", "figure() # opens a new window" ], "language": "python", "metadata": {}, "outputs": [] }, { "cell_type": "code", "collapsed": false, "input": [ "loglog(x, data);\n", "loglog(x,x);\n", "loglog(x,x**2);\n", "loglog(x,x**3, color='black');" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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06NGW53NzcxEbGwuTyYTIyEgsX74cGo0GBoMB999/PxobG7u8dmZmJnSLFmHO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\n" } ], "prompt_number": 43 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Exporting" ] }, { "cell_type": "code", "collapsed": false, "input": [ "x = linspace(0, 2 * np.pi, 100)\n", "y = sin(x)\n", "grid()\n", "plot(x,y)\n", "xlabel('angle (rad)')\n", "ylabel('sin()')\n", "title('The Sine Function')\n", "xticks(linspace(0, 2*np.pi, 5), ['0', '$\\pi/2$', '$\\pi$', '$3\\pi/2$', '$2\\pi$'])\n", "savefig('output.pdf')" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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CeLbbb1fLXP/0E9SoAd26qT6IV19VfRIXLuT93vPnYft2eP991Xdx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\nCJHD/wNSUtHg4gzWkgAAAABJRU5ErkJggg==\n" } ], "prompt_number": 44 }, { "cell_type": "markdown", "metadata": {}, "source": [ "In the notebook, the *savefig* instruction must be within the same cell. In other interactive modes, it saves the currently active figure.\n", "\n", "You can save different formats, including pdf, svg, png and eps.\n", "\n", "Full call signature:\n", "\n", " savefig(fname, dpi=None, facecolor='w', edgecolor='w',\n", " orientation='portrait', papertype=None, format=None,\n", " transparent=False, bbox_inches=None, pad_inches=0.1,\n", " frameon=None)" ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Multiple plots in a figure" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You can create multiple plots within a figure with the *subplot* command. " ] }, { "cell_type": "code", "collapsed": false, "input": [ "x = linspace(0, 2 * np.pi, 100)\n", "y = sin(x)\n", "grid()\n", "subplot(1,2,1)\n", "plot(x,y)\n", "xlabel('angle (rad)')\n", "ylabel('sin()')\n", "title('The Sine Function')\n", "\n", "subplot(1,2,2)\n", "plot(x,cos(x))\n", "xlabel('angle (rad)')\n", "ylabel('cos()')\n", "title('The Cosine Function')\n", "suptitle('Trigonometric functions');" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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pqUB5uUlOR8CvXylsj1xvTCRlZWXM09OTXb58mZWUlDC1Ws1Onz5d5Zi9e/ey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\nAABJRU5ErkJggg==\n" } ], "prompt_number": 45 }, { "cell_type": "markdown", "metadata": {}, "source": [ "As you can see you might often need to ajust proprotions a locations of plots...\n", "\n", "You can do it from the GUI if you are using the external matplotlib window from an interactive shell, but in the notebook you have to do it programatically." ] }, { "cell_type": "code", "collapsed": false, "input": [ "x = linspace(0, 2 * np.pi, 100)\n", "y = sin(x)\n", "grid()\n", "subplot(1,2,1)\n", "plot(x,y)\n", "xlabel('angle (rad)')\n", "ylabel('sin()')\n", "title('The Sine Function')\n", "\n", "subplot(1,2,2)\n", "plot(x,cos(x))\n", "xlabel('angle (rad)')\n", "ylabel('cos()')\n", "title('The Cosine Function')\n", "suptitle('Trigonometric functions')\n", "\n", "gcf().set_figwidth(18)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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0aVJSpkxJ2bJlo3+G+22dmT17Nu+88w65c+cmRYoUDB06lLlz50avbIXY50gi3krHhYp4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\niY2NtR3BOl0DXYPLnHEdfHzMONEffjANirlzISjIFGt79hT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} ], "prompt_number": 46 }, { "cell_type": "markdown", "metadata": {}, "source": [ "As you can see, this is done to the \"current\" figure, which is returned with *gcf()* (Get Current Figure).\n", "\n", "Full (very full... ) documentation here: http://matplotlib.org/api/figure_api.html\n", "\n", "You can adjust subplots with:\n", "\n", " subplots_adjust(left=None, bottom=None, right=None, top=None,\n", " wspace=None, hspace=None)" ] }, { "cell_type": "code", "collapsed": false, "input": [ "x = linspace(0, 2 * np.pi, 100)\n", "y = sin(x)\n", "grid()\n", "subplot(1,2,1)\n", "plot(x,y)\n", "xlabel('angle (rad)')\n", "ylabel('sin()')\n", "title('The Sine Function')\n", "\n", "subplot(1,2,2)\n", "plot(x,cos(x))\n", "xlabel('angle (rad)')\n", "ylabel('cos()')\n", "title('The Cosine Function')\n", "suptitle('Trigonometric functions')\n", "subplots_adjust(wspace=2)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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Qdb0xnp6m3xAUo8EsJMmGyywsLPD1118jMTER1dXVmDRpEgICAvDdd98BAF55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\nYII=\n" } ], "prompt_number": 47 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here's another way:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "x = linspace(0, 2 * np.pi, 100)\n", "y = sin(x)\n", "grid()\n", "subplot(1,2,1)\n", "plot(x,y)\n", "xlabel('angle (rad)')\n", "ylabel('sin()')\n", "title('The Sine Function')\n", "\n", "subplot(1,2,2)\n", "plot(x,cos(x))\n", "xlabel('angle (rad)')\n", "ylabel('cos()')\n", "title('The Cosine Function')\n", "suptitle('Trigonometric functions')\n", "\n", "w, h = figaspect(0.3)\n", "gcf().set_figwidth(w)\n", "gcf().set_figheight(h)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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TsWNH0qRJQ/r06alUqVLs73CrqXBTpkzhvffeo2DBgqRLl44+ffowbdq02NkHkPB1TvyP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\n" } ], "prompt_number": 50 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Multiple curves in a plot" ] }, { "cell_type": "code", "collapsed": false, "input": [ "x = linspace(0, 2 * np.pi, 100)\n", "plot(x,sin(x))\n", "plot(x,cos(x));" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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m//X93H5yW3QUzWvVCh4+lEstdXXl4RXO3D1Dt8rdREfRvNhYOG5kH6ytM/Pi\n6Oho7O3tX31vZ2dH0H/+ZL3pmtu3b1PsDd2nJkyY8OrfPTw88PDwyEw8k5Mvez51qWXIYr5t/K3o\nOJpmZfV3V8t160Sn0b75p+bTv3p/uapLB8uXq22x69UTc//AwEAC03mAdqYKva4f8f77APFtr/tn\noZfezKeWDx+s/IBxH4yTfyjT0LcvTJoEd+/KpZbv8iThCevOr+P84POio2heSgosWAA//iguw38H\nwRMnTkzzNZmauilZsiRRUVGvvo+KisLOzu6d19y+fZuSJUtm5rZmTS611F3+/ODlJZdapkUuqdTd\nnj1QqBC4u4tOkj6ZKvQ1a9YkIiKCyMhIEhMT2bhxI23/c4p327ZtWb16NQAnT54kf/78b5y2kXQn\nl1rqzsdHLrV8F9mlMn2MtX16pgq9tbU18+fPp3nz5ri4uNC1a1cqVqyIv78//n8No1q1akXZsmUp\nV64cAwcOZOHChXoJbs7kUkvdyaWW7xZwLYB82fNRz17QhLMRCQuDixehc2fRSdJPUy0QNBLFKMwN\nmsuxqGNs7CSncNKycyd88w0EB8t9Gv/VYm0LvCp74V1NtotNy6efQtGioLVHibrUTlnojZTsSaK7\nlBQoX15dfVOnjug02nH54WUarmwoeyjpQMs9lIyu142ku3zZ89Gzak8WhSwSHUXzXna1lL3q/21+\n8HwG1Bggi7wOli+Hli21V+R1JUf0Ruzqo6s0WNFAjsh08HJEdukSvPee6DTiPX7xmDJ+Zbgw+AIl\n88lVcO+SkgJOTrB+vTZX28gRvYkrX6g8NUrUYP2F9aKjaF7+/NC9u3qurAQrzq6gmWMzWeR1sHs3\nFCmizSKvK1nojZyvuy9zg+fKT0M68PGBJUvkUsuU1BS5pDId/PxgmJH/UslCb+SaOTbjedJzjv5+\nVHQUzatYEVxdYaOZL1TaE7GHQjkLUcdOPplOy8WLEB4OnTqJTpI5stAbuVcHiAfJJ4268PVVR2jm\n/AFobvBc2aVSR/PmwaBBkC2b6CSZIwu9Cejt2ptDkYe4FXtLdBTNa9kSnj6FY8dEJxHj0oNLXHxw\nkc4uRrjrx8BiYuCnn2DgQNFJMk8WehOQN3tevF29WRgidx2nxdJSPYHKXJdazguex6Aag8hunV10\nFM1btgzatAFT6Ngil1eaiOsx13Ff5s7vI34nl00u0XE07elTcHCAs2fhHx20Td6fz/+k7NyyhA8J\np3ie4qKx6Ny3AAAdJUlEQVTjaFpyMjg6wtatUKOG6DTvJpdXmhHHgo7UL1WfNefWiI6ieXnzQq9e\nYG5tl5aeWcqH5T+URV4HP/8MpUppv8jrShZ6EzLMfZhcaqmjoUPVj+bx8aKTGEZyajILTi1guPtw\n0VGMwpw5xr+k8p9koTchjRwaYWVhxYEbB0RH0TxHR/WEoLVrRScxjJ8v/4x9PntqvGciQ9QsdPo0\nREVB+/aik+iPLPQmxMLCgmHuw5gTNEd0FKMwbJj5LLWcc3IOw+vI0bwu/PzUYyitM3X+nrbIQm9i\nulfpTsidEK4+uio6iuY1aqQ2PDtg4h+AQu6EEPUkivbOJjREzSL37sGuXdC/v+gk+iULvYnJaZOT\nT6p/IjdQ6cDCAoYPV+djTZlfkB9Dag3B2tKEhqhZZPFi6NoVChYUnUS/5PJKE3Tn6R0qL6zMjWE3\nyJ8jv+g4mvbiBZQuDUeOQIUKotPo392nd3FZ6MJ13+sUzGli1UvPXrxQl90GBoKzs+g0upPLK83U\ne3nfo5VTK5adWSY6iublyAEDBqhb3U3RwpCFdKvcTRZ5HaxfD9WrG1eR15Uc0ZuokDshfPTTR1z3\nvS4/sqfh7l2oVAmuX4cCBUSn0Z/nSc8pPac0R/scpUJhE/y4okeKoja8mzEDmjUTnSZ95IjejNV8\nryalbEuxNXyr6CiaV6IEtG6trqs3JesurKNWyVqyyOvg0CH1gBFPT9FJsoYs9CZsRJ0RzD45W3QM\nozBihNr/JilJdBL9UBSFOSfnMKLOCNFRjMLs2eqDeVNt6CkLvQlrV6Ed95/d5+Ttk6KjaF716uom\nqi1bRCfRj/039mNpYUmTMk1ER9G8iAgICoKePUUnyTqy0JswK0srfN195aheRyNGwKxZprGBavbJ\n2QyvM1z2nNfBnDnqA/mcOUUnyTryYayJe5LwhDJ+ZQgdGEop21Ki42haSoq64mLlSqhfX3SajAv/\nI5xGqxoROTxSHhqfhpgY9ZNceDgUN9Jeb/JhrES+7PnwdvWWG6h0YGWltkWYbeQfgGafnM2gmoNk\nkdfB4sVqTxtjLfK6kiN6M3Ar9hbVl1Tn5rCb5MueT3QcTXv2TN00ExwMZcuKTpN+D+IeUGF+Ba74\nXKFo7qKi42haQgKUKQP79kGVKqLTZJwc0UsAlM5fGs+ynvxw5gfRUTQvTx61z4mxtkVYeGohnV06\nyyKvgw0boHJl4y7yupIjejNxKvoUnTd15prvNbmBKg3R0eof/mvXjKvnyfOk5zj4OXD448M4FzbB\n7Z16pChQrRpMmwYtWohOkzlyRC+9UqtkLUrZlmJLmImsH8xCJUuqZ4X6+4tOkj5rzq+h1nu1ZJHX\nwa+/qscFNm8uOolhyEJvRkbVHcXMEzPlJycdjBql9r9JSBCdRDepSiqzTsxiVN1RoqMYhRkzYORI\n090g9V+y0JuRD8t/SOyLWH77/TfRUTSvalV1/nb9etFJdLMnYg+5bHLh4eAhOormnT+vfpnyBqn/\nkoXejFhZWjGy7kimH58uOopR+OwzmDnTODZQTT8+nc/rfS43SOlg5kz1zODs2UUnMRxZ6M2Mt6s3\nwdHBhP0RJjqK5nl6qh/tAwJEJ3m3oNtB3Iq9RedKnUVH0bzbt2HnThg0SHQSw5KF3szktMnJkFpD\nmHlipugommdhAZ9/DtM1/gFo+vHpjKw7Uq6m0oGfH3h7m1Y7al3I5ZVm6FH8I5zmOXHx04u8l/c9\n0XE0LSnp72ZntWqJTvO6iEcR1Ftej8hhkeTOllt0HE17/FjdBHfmjHqqmKmQyyulNyqUqxA9q/aU\nbRF0YGOjrs7Q6qh+1slZDKo5SBZ5HSxZoi6nNKUirys5ojdTkbGR1FhSQ7ZF0MGzZ+pW+RMnoFw5\n0Wn+Jtsd6C4hQR3N796tbpQyJXJEL72VQ34Hmjs2xz/EyHYFCZAnDwwcqLYw1pJ5wfPoWqmrLPI6\nWLNGXTJrakVeV3JEb8bO3TtHqx9bccP3BtmtzWitWQbcv6+2ML5yBYpqoK4+SXhCWb+yBPUPwrGg\no+g4mpaSAhUrwtKl0LCh6DT6J0f00ju5FnfFtZgrq86tEh1F84oVg27d1FUbWrDk9BI8HT1lkdfB\nzz+rPYs++EB0EnHkiN7MHb11lD7b+3DZ57JcnpeGGzegdm24fh1sbcXlSEhOoOzcsuzpvgfX4q7i\nghgBRVH/n335pdp33hTJEb2UpgalG1A8T3HZ7EwHZcuqnQ4XLRKbY9W5VbgWc5VFXgcHD6oP09u2\nFZ1ELDmil9h1dRfjDo4jdGCo3EKfhosXoWlTdXSfK5fh75+SmkKF+RVY0W4FDUo3MHwAI9OkCfTq\nBR9/LDpJ1pEjekknrZ1ak6qkEnBN43v9NaByZXB3h+XLxdx/c9hmiuUpxvul3hcTwIicOKFOs/Xo\nITqJeLLQS1hYWDC2wVi+Pfqt/FSlgzFj1A1USUmGvW+qksrko5P5ssGX8pOXDiZPhtGj1U1v5k4W\negmAzi6deRj/kMDIQNFRNK9OHXXj1Nq1hr3vzis7sbGyoWW5loa9sRE6exZCQ6FPH9FJtEEWeglQ\nWxiPfX8sk45MEh3FKIwfD1OmqKcUGYKiKEw6MolxDcbJ0bwOpkxRD4/JkUN0Em3IcKGPiYnB09OT\n8uXL06xZM2JjY994nYODA1WrVsXNzY3atWtnOKiU9bpX6U5kbCTHfj8mOormNWwIJUrAxo2Gud++\n6/tISEmgnXM7w9zQiIWHw+HD6m5mSZXhQv/dd9/h6enJ1atXadKkCd99990br7OwsCAwMJDQ0FCC\ng4MzHFTKejZWNnzx/hd8e/Rb0VE0z8JCHdV/+6268zIrvRzNf9ngSywt5IfwtEydCr6+kFv2eXsl\nw79rduzYgbe3NwDe3t78/PPPb71WPuAzHt6u3lx8cJGQOyGio2he06aQP7/awjgrBUYG8jD+IZ1d\n5MEiabl6FfbuBR8f0Um0JcPr6AsUKMCff/4JqIW8YMGCr77/p7Jly2Jra4uVlRUDBw7kk08+eXMQ\nCwu+/vrrV997eHjg4eGRkWhSJs0Pns++6/vY6bVTdBTN27NHXdlx7hxYZsFgW1EUPFZ50M+tH71d\ne+v/Biamd28oXx7GjROdJOsEBgYSGBj46vuJEyemOZh+Z6H39PTk3r17r/345MmT8fb2/ldhL1iw\nIDExMa9de/fuXUqUKMEff/yBp6cn8+bNo0GD1zd6yA1T2vEi+QVO85zY2mUrtUpq8LQNDVEU9UCS\nMWPgo4/0//6/3viVwbsHEzYkTLaoSMPVq1C/Ply7JrZFhaHpUjszPKJ3dnYmMDCQ4sWLc/fuXRo1\nasTly5ff+ZqJEyeSJ08eRo0alaGwkuEsPLWQ3RG72d19t+gomrd7N3zxhf5H9Yqi0GBFAwbVHETP\nqj3198YmyhxG82+SpTtj27Zty6pVatfDVatW0f4NHYPi4+N5+vQpAHFxcfzyyy9UqVIlo7eUDKif\nWz8u3L9A0O0g0VE0r1Ur9cHfpk36fd8DNw7wMP4hXpW99PvGJujl3PzQoaKTaFOGR/QxMTF06dKF\n33//HQcHB3766Sfy58/PnTt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} ], "prompt_number": 52 }, { "cell_type": "markdown", "metadata": {}, "source": [ "For publishing, you might want to have black lines with different strokes:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "x = linspace(0, 2 * np.pi, 100)\n", "plot(x,sin(x), 'k')\n", "plot(x,cos(x), 'k-.')\n", "plot(x,sin(2*x), 'k,')" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 60, "text": [ "[]" ] }, { "output_type": "display_data", "png": 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RBC0mJgYxMTHyPYlTQEREBDdhwoSy3w8cOMD5+fl9tM3bt2+5/Px8juM47tSpU5y5uXm5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\nQmCC\n" } ], "prompt_number": 60 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Markers: http://matplotlib.org/api/markers_api.html" ] }, { "cell_type": "code", "collapsed": false, "input": [ "x = linspace(0, 2 * np.pi, 100)\n", "plot(x,sin(x), 'k')\n", "plot(x,cos(x), 'k-.')\n", "plot(x,sin(2*x), 'k,')\n", "names = ['sin($\\omega$)', 'cos($\\omega$)', 'sin($2\\omega$)']\n", "legend(names);" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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ycuDg4ID79++jUaNGrGMRJXLs2DGsWrUKV69eZR1FJXAcR98ilYBSDq/cunUr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\nUaEnhBAV9/8ATTFK/gl4i0MAAAAASUVORK5CYII=\n" } ], "prompt_number": 62 }, { "cell_type": "code", "collapsed": false, "input": [ "x = linspace(0, 2 * np.pi, 100)\n", "plot(x,sin(x), 'ko')\n", "plot(x,cos(x), 'k^')\n", "plot(x,sin(2*x), 'kx')\n", "names = ['sin($\\omega$)', 'cos($\\omega$)', 'sin($2\\omega$)']\n", "legend(names)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 63, "text": [ "" ] }, { "output_type": "display_data", "png": 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eg8EgVlRUqBJqLfahJXovFG57oVdzUcrZD3fddVe3h6b69u2LXq83rjbyPHGmBVabmLX6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\nGTPG4FaxsWbNGjh79iz4/X6oqamBqVO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} ], "prompt_number": 63 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Other plot types" ] }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Histograms" ] }, { "cell_type": "code", "collapsed": false, "input": [ "samples = poisson(lam= 3.5, size= 500)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 64 }, { "cell_type": "code", "collapsed": false, "input": [ "hist(samples)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 65, "text": [ "(array([ 17, 51, 100, 112, 86, 65, 35, 26, 6, 2]),\n", " array([ 0., 1., 2., 3., 4., 5., 6., 7., 8., 9., 10.]),\n", " )" ] }, { "output_type": "display_data", "png": 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} ], "prompt_number": 65 }, { "cell_type": "code", "collapsed": false, "input": [ "hist(samples, 5)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 66, "text": [ "(array([ 68, 212, 151, 61, 8]),\n", " array([ 0., 2., 4., 6., 8., 10.]),\n", " )" ] }, { "output_type": "display_data", "png": 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} ], "prompt_number": 66 }, { "cell_type": "markdown", "metadata": {}, "source": [ "For publication, you might need to adjust:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "hist(samples, 5, histtype='step', align= 'left', color= 'k', normed=True, hatch='\\\\')\n", "xticks(arange(5)*2, ['A', 'B', 'C', 'D', 'E'])\n", "grid()" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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} ], "prompt_number": 67 }, { "cell_type": "code", "collapsed": false, "input": [ "hist(samples, 20, histtype='step', align= 'left', color= 'k', orientation='horizontal', normed=True, hatch='\\\\')\n", "yticks(arange(10), ['A', 'B', 'C', 'D', 'E', 'F', 'G', 'H', 'I', 'J']);" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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} ], "prompt_number": 68 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Bargraphs" ] }, { "cell_type": "code", "collapsed": false, "input": [ "bar(arange(12), random.random(12), 0.55)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 71, "text": [ "" ] }, { "output_type": "display_data", "png": 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} ], "prompt_number": 71 }, { "cell_type": "code", "collapsed": false, "input": [ "ind = arange(12)\n", "width = 0.9\n", "bar(ind, random.random(12), width)\n", "xticks(ind+width/2., ind );" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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} ], "prompt_number": 72 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Graphing 2D matrices" ] }, { "cell_type": "code", "collapsed": false, "input": [ "mat = rand(10,10)\n", "imshow(mat);" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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BQ4lzs2/L63XJKmqxX2lbFHsmuCATXGKb1U4pboDow/Qk9ie0n6dRZM+jrQZl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\nWxbFCaUMwMUWH8ScIFNCRtLx9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G7EnjMU9wVYGzMp+cyA1XIFes632PrLU6h12+DHRqPoaCOQJ1z/KlGiJhxvYx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\nGrIgqyjWVs9cFVCH5LFn4SD3euyqK4Yw2/8Mewi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} ], "prompt_number": 77 }, { "cell_type": "code", "collapsed": false, "input": [ "imshow(ma)\n", "colorbar();" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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0eA9yZOqxRaNq5lG0diz7T6batgM48awN2MoaVNEqQE3dh6QewmH+PkrD5GQ5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\ncQ0Wz9OARq2lncUz9oFiEdfD/2tgklFhsohHcVtlA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} ], "prompt_number": 79 }, { "cell_type": "code", "collapsed": false, "input": [ "imshow(mat, cmap=cm.gray)\n", "colorbar();" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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kkY1sDbq+vj5Tn+ZJGAGTogBkgZEHSBKA+Ijx3AYWQ7K+toBsyAIpC5hT/lT/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\naYPCWhFTYJOTjieMZD18RFCyVDi8rlNsSQMnvAeGcf2wLT2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} ], "prompt_number": 78 }, { "cell_type": "code", "collapsed": false, "input": [ "imshow(mat, cmap=cm.gray, interpolation='nearest')\n", "colorbar();" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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} ], "prompt_number": 80 }, { "cell_type": "code", "collapsed": false, "input": [ "subplot(1,4,1)\n", "imshow(mat, interpolation='nearest')\n", "grid(True)\n", "\n", "subplot(1,4,2)\n", "imshow(mat, interpolation='bilinear')\n", "\n", "subplot(1,4,3)\n", "imshow(mat, interpolation='bicubic')\n", "\n", "subplot(1,4,4)\n", "imshow(mat, interpolation='gaussian')\n", "\n", "gcf().set_figwidth(20)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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m9zDSCCNO15Lf00QgY6R5AAqBAXWAiiiE6aZ66TLDjFhzuZSW4EsowgxEeh4P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\nDl7kYQ14zY5VjAaokyxKtJh1dvbp4LkQ50sEg7GHUw3qbe/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bNrzxNC+1wla9VBa5BzfK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gnfLSSSgWALMpstqDsx5d8dKRAKbRL+pUnBDSpPpJ4z1VCAMCYCvwM/9Iwk/yZNQgTdHFNuFk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hSdMJHVSn8DQ9RUMAmZu4NABk4QjyrymOWaHOvzTSFLhy99EQdchfBFKuK8lEEBNmpe12XM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\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LqqYCRuz77QGaNAFPRmOBNoZECZIHQcpLCRP9EewrRxmgKJk5oonVF8WDnej9kOdAKIEq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\ny1YhPszZsc6jY4Dqr9yqWcy6F554NN8trdoF1v5AmVFxnQFLeBRipmI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} ], "prompt_number": 82 }, { "cell_type": "code", "collapsed": false, "input": [ "imshow(mat, interpolation='nearest')\n", "plot(mat[5] + 4.5, 'white', linewidth=5)\n", "colorbar();\n", "xlim((-0.5, 9.5))\n", "ylim((9.5, -0.5))" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 89, "text": [ "(9.5, -0.5)" ] }, { "output_type": "display_data", "png": 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wGE+mb0KIZlPTzSQiIoLVq1fz4Yfq9oOXKyUhAl7zH35T082ka9eupKamYrGo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\nBxYYsGVoeNdDAAAAAElFTkSuQmCC\n" } ], "prompt_number": 89 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Scatter Plots" ] }, { "cell_type": "code", "collapsed": false, "input": [ "N=100\n", "x = np.random.randn(N)\n", "y = np.random.randn(N)\n", "\n", "scatter(x,y)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 90, "text": [ "" ] }, { "output_type": "display_data", "png": 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9fvzxRwYPfpfY2IXcuvUL8+efYPhwebMoq5599lkef7wMBkMlAgPrUqTI5yxc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\nqVatGpcuncFqTSA6+jxhYWE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} ], "prompt_number": 90 }, { "cell_type": "code", "collapsed": false, "input": [ "N=100\n", "x = np.random.randn(N)\n", "y = np.random.randn(N)\n", "\n", "scatter(x,y,color='blue',s=5,edgecolor='none')" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 91, "text": [ "" ] }, { "output_type": "display_data", "png": 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PSExTty1btihhYWHKmTNnZEexiclkUnbv3i07xnUqKiqU2267TTl+/LhSVlam\n25uYiqIox48f1/1NzKqqKmXMmDHK1KlTZUep15kzZ5Tff/9dURRFuXTpktK/f3/lq6++kpyqbmaz\nWRk2bFi9P+PU9cD1/NF15syZiIiIQFRUFMxmMxYtWiQ7klVPPvkkSkpKEBcXh+joaEyaNEl2JKvW\nrVuHoKAgZGVlISEhAUOGDJEdqZq3tzfefPNNxMfHIywsDA899BBCQ0Nlx6pl9OjR6Nu3L3JzcxEU\nFCRtSK8h3333HT788EN88803iI6ORnR0NNLT02XHqqWwsBCDBg1CVFQUYmJikJiYiNjYWNmx6tVQ\nzVRlKj0RETkfd+QhIjIoFnAiIoNiASciMigWcCIig2IBJyIyKBZwIiKD+n9aPHEAT0mcYAAAAABJ\nRU5ErkJggg==\n" } ], "prompt_number": 91 }, { "cell_type": "code", "collapsed": false, "input": [ "N=100\n", "x = np.random.randn(N)\n", "y = np.random.randn(N)\n", "\n", "scatter(x,y,color='blue',s=40,edgecolor='none', marker=7)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 92, "text": [ "" ] }, { "output_type": "display_data", "png": 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} ], "prompt_number": 92 }, { "cell_type": "code", "collapsed": false, "input": [ "dict(alpha=0.5, edgecolors='none' )" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 93, "text": [ "{'alpha': 0.5, 'edgecolors': 'none'}" ] } ], "prompt_number": 93 }, { "cell_type": "code", "collapsed": false, "input": [ "d = {'alpha': 0.5, 'edgecolors': 'none'}\n", "print d\n", "d['alpha'] = 'hello'\n", "print d" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "{'alpha': 0.5, 'edgecolors': 'none'}\n", "{'alpha': 'hello', 'edgecolors': 'none'}\n" ] } ], "prompt_number": 95 }, { "cell_type": "code", "collapsed": false, "input": [ "props = dict(alpha=0.5, edgecolors='none', c='blue' )\n", "scatter(x, y, s=20, **props)\n", "props = dict(alpha=0.8, c='red' )\n", "scatter(y,x, s=20, **props)\n", "\n", "# scatter(x, y, c='red', s=20, alpha=0.5, edgecolors='none')" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 98, "text": [ "" ] }, { "output_type": "display_data", "png": 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VsbGomkZ4aio79HoaNmqU63Xx8XDkCERECIdsxaI9g7QHmxyP74WX12n2b2rNlsVNeKvX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\nD+5ZUiIiskmPCvjNwsPDUVBQAH9/f3tkIiIiK9ilD5zLJER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} ], "prompt_number": 98 }, { "cell_type": "code", "collapsed": false, "input": [ "N = 10\n", "props = dict(alpha=0.5, edgecolors='none' )\n", "\n", "handles = []\n", "colors = ['red', 'blue', 'brown', 'green']\n", "for color in colors:\n", " x = np.random.randn(N)\n", " y = np.random.randn(N)\n", " s = np.random.randint(10,300)\n", " handles.append(scatter(x, y, c=color, s=s, **props))\n", "\n", "ylim([-5,11])\n", "xlim([-5,11])\n", "\n", "legend(handles, colors)\n", "grid(True)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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GcPQovPOOGlqZn6+GwbedBTA6Wn1KxMS0rmv7+8NTT7l6mDicDmrttQRYAvCz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\na1bvxLdhA2zZwvSL66G5jQeYDvDmm9h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} ], "prompt_number": 103 }, { "cell_type": "code", "collapsed": false, "input": [ "\n", "# the text bounding box\n", "bbox = {'facecolor':'0.9', 'alpha':0.7, 'pad':40, 'color':'red'}\n", "props = {'ha':'center', 'va':'center', 'fontsize': 20, 'bbox':bbox}\n", "\n", "text(0.5, 0.5, 'text 0', props, rotation=0)\n", "text(1.5, 0.5, 'text 45', props, rotation=45)\n", "text(2.5, 0.5, 'text 135', props, rotation=135, family='Serif')\n", "text(3.5, 0.5, 'text 225', props, rotation=225)\n", "text(4.5, 0.5, 'text -45', props, rotation=-45, family='Serif')\n", "yticks([0,.5,1])\n", "xlim(0,5)\n", "xticks(arange(0, 5.1, 0.5), [])\n", "ylabel('center / center')\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 104, "text": [ "" ] }, { "output_type": "display_data", "png": 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K9evXWbRoESdOnGDatGkAVa6mXy5j5jQaDePHj+enn37Czc2NaF9fbNLTi43J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\nAAAAAElFTkSuQmCC\n" } ], "prompt_number": 104 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "3D Graphs" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from mpl_toolkits.mplot3d import Axes3D\n", "\n", "fig = figure()\n", "ax = Axes3D(fig)\n", "X = arange(-4, 4, 0.25)\n", "Y = arange(-4, 4, 0.25)\n", "X, Y = meshgrid(X, Y)\n", "R = sqrt(X ** 2 + Y ** 2)\n", "Z = sin(R)\n", "\n", "ax.plot_surface(X, Y, Z, rstride=1, cstride=1, cmap=cm.hot)\n", "ax.contourf(X, Y, Z, zdir='z', offset=-2, cmap=cm.hot)\n", "ax.set_zlim(-2, 2)\n", "\n", "grid(" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 105, "text": [ "(-2, 2)" ] }, { "output_type": "display_data", "png": 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HSzU1NZWIiAivvmO323nrrbeoWbMmAwcOdPuZdu3aMWvWLLp06cLevXuJiooKqpsTROHL\nV/ISPE/a8QTLUnEdpyDAObk0g5kH6LwPV+G1Wq2OPLAHHW9z31wnYue1FhHfyO2lJKeAGk+Dmh6k\niE5PSEtL8zqHb9euXfz666/UqVPHkaIwfvx4Ll++DMA777xD69atWb9+PZUrV0aj0TB37tyAj90V\nUfjyAWfBS0lJcZQPc45G9DTRO5gWnyeCJ3zfOT0g0OSWD+ir6D1I4uBpdKlwDbRabY4Jx4GgIFY6\nyYtAWOnC5wsKqampXldsadq0qUdzxaxZs3wdlk+IwhdEhDUp527nwu+dgzN8CRLxt+SY67Y8EbxA\nkZvwOq9tunsR8FX4H/SJ291ELISTq1SqbG66QEc2Pujnzxl/nx1vK9TodLqgF0W4Xy2++xVR+IKA\ncxAGkMWlCZk3kK/BGYF8i/dV8IKRh5dTME8g91FQESZVT2tnurrp7pfIxgfZsnQniEJnlNDQ0AJR\nFCEtLe2Br9EpIApfAHEneIJI6PV6DAYDdrsdjUZDaGioz/sRtunPQ2KxWEhNTfXZ4vQHYfz5IXi5\njaEgk1dkYzAro9zv5JfACla3Lz0Qvb0O+XFMKSkpQY+2zC9E4QsAOQmec76ZUFFEWI/xB3/y8Jyj\nRn3Nf/PX4hPWPNPT07Hb7V4JXiCtzYJsBeaEu+jQvCqjCH8XJmUx3cI/PA2oEfJAnc99Tmkv+SF8\n6enpXkd13q+IwucHOTV/tdls6PV6jEZjriW0fMWXPDznLgWhoaF+V8L3VTSEcmsWiwW1Wo1CoRAn\n0XtMXoEcRqMRwO36YSCblRa0FxFvxcifgBrh3LlWfAokBaUzA4jC5xOeCJ5CoXArePmRjiDgKnjC\nmqLJZHJMZr7gy0MluDRtNpsjh8ofd6+3OFstIp7hnIwvk8kc7nDBYg+Gu7Sg5LwFEk8Casxms2NJ\nxV1gUyDK5onBLYUU51JUkFXwdDodJpMJhUKRa7fz/EhAz0nwAjUGb77vXGNUpVKhUCj8SoD31doV\nJgTn6v/OeVkiueMaWZtXIWlnN939Ujczvwn2veUsiEL5NYVC4bgOgQ6oEYWvkCHcPOnp6SiVSsfb\nkxC1ZTKZCA0NzVXwBPIrD8+d4OUnzoKX322TIHsuoEqlAu4Gd0CmFercmV0sG+Y7/ua9BXIpoLDi\nXNAgGAE1oquzEOAcdShMlBaLJYtL02w2eyx4AsEQPmerxpM0iWBafM6NcVUqlVvBC+ZakHOkqEQi\ncUSsCq5p4bxYrVZkMhkymSyL605sShtY8nLTOVslkDXnLVjRpfkZ1Zlf90te+/ImoMZVEDdv3uyo\nNuVN9HevXr1Yt24dMTExnDhxItvf4+LieOmll3jooYcA6NixI59++qnH2/cHUfhccCd4zm//Wq3W\nYcWo1WqvIzQDtcbnnIfnbVueYKwzeiJ4zvi6/5y26W1qhPPbcW6WSl7uIsH6FwXRO1wF0TUZv7D2\nPsxvPLHUr1+/zubNmzl69ChFihShWrVqPPzww3Tu3Jk2bdrkuO0333yTDz74gO7du+f4maeeeorV\nq1cH7Hg8RRS+/xAutDDBwd2bQpjUhUjI8PBwnx84wWL0F2GSD1YfutxwFk6r1eqwfu+FSxOyBs6o\n1eqA5AJ64i6yWCy5rmOJeE9O6RaelgnLK4gjPyNHhfHl174C+dw53/99+vTh7bffplWrVmzcuJEz\nZ85w8uRJ1Gp1rtto1qwZCQkJeY77XlDohc9V8ASxcxY8odu53W73O/zeH2tLsPCEfnj3Kg9PGEtG\nRoZD8DQajcfnxR/xdx67xWJBp9Nhs9kcgTPBDibwZB1L6MEHONYYC3pSeDDxJKpRcGV7umZV0K5B\nfrhVJRIJ4eHhNGzYkIYNGwZke7t376Zu3brExsYyZcoUatasGYCR5k2hFb7cBM9sNmMwGLIFZgg1\nNwOxb28/7+zSDA0NdRtZ5yn+CJ9g4QFIpVKf3L3+YrfbSU9Pd7hVhfNxr3A3MQuRvnK5PJvb7kGL\ncsyPSdWXfTifd+dUi7zWrCDzpSnY570gRQybzeaAV3eqX78+iYmJqNVqNmzYQPv27YmPjw/oPnKi\n0AmfEMjgrtu5s0vTndsuUIEp3ozV3RqeIMr+4s2D6RrBCpkd4X15sH09j1arFZ1Oh91udwTx3K8T\nizAud2H/ubnt3K1jiXiOJ2u2nhTzftBc1cEWWV968eWFc0/NVq1a0a9fP+7cuUN0dHRA9+OOQiN8\n7gRPqHjgLHi5uczyIwdPGKsvQSvejMFThAhW15QNoexZfuAqumaz2ZGe4A2uk0Mw1xeE/bjuMye3\nXV41NMVUC/8Qzrvg0RHun5zc1P7mvAnbzq/o0WDjS0uivEhKSiImJgaJRML+/fux2+35InpQCIRP\nEDaDweBocSMInnNXb6VSmecaUbCFz26/264oN8EL5DhyOt6cBM/T73uy77xwNwbAr6ozzmO4n8it\nhmZuqRaAI3n5fjsmb8ivIAdPXkQ8zXkLRu9DfwjmGHzpzPDaa6+xfft2bt26RdmyZRkzZgxmsxnI\nbEC7bNky5syZg0wmQ61Ws3jx4mAM3S0FVvicLTyr1YpWq6VIkSLZBM/bAsn+RmS6m/Q9FbzcthEo\nhMLaQtk1b3IU82MM/gTFPGh44raDzBeBgpBqcb+MM7fz7knOp/AjXJNgkx+WZUpKitfJ64sWLcr1\n7++99x7vvfeeP8PymQIrfHB3kpRKpVmqmoBvLXACbfF5K3jBGgd4L3j+jCGn7zqfj/uh1un9inNO\nm8lkQq1We51q8aCtYd0PeBrV69yEVqii9KCv2xakXnxQgIVPmBycq8sbDAbUanW2rt7ebDNQgiP0\n5/N1DS9Q43AVvEB3kvAEZ8ELRjeLgorzPeDtpOzNGlZBik4MxrHk5C7VarUoFIo8S4T5a5nfrxbf\n/UyBFT4Ak8lEWlqaYzIICwvza0L1V/iECR4yI0j9ycPzF+ecQF/EJhAWnz9BPAVpMvaHvM6Bt2tY\n7sQwPyzsgnY9hWORSqVZ7mnncy8sxfhbzDs/zl16ejqlSpUK6j7ykwItfDKZzFGrMSUlxe/t+TrZ\nu1o0ABqNxmd3kz+iI4xFePB8ta78HYPNZnN0gPdG8AL1gBekSdZbvLEOheWCguKyyy9yejacz72r\nIN7PaS6iq/MBwjmxNb9SEZxxFTxhgk9OTvZrLL4ci+tYZDKZo9NEfuEcWGS32wkLCwt4Uqy34xG5\nS06pFhkZGcjlckdgx4OcapHflqWn+/I1zcXZIg/msRWkzgxQwIUvGMnnnmwjJ8FzN65gjkMYizt3\nYnp6er6OwbmAtFKpRK/X+yx63qZSCGkRQrUOIdhJFD7PcA6mEfA0wrGwdrUIlAjllubiLIg2mw2t\nVhu0qkCixfeAEkjhy+mm9jRII1CRibk9XHmtn+VXdKQgeHa73RFJKwTUBBvXqFmZTJYt6s65DU5+\nTtI6nY4zZ85w/vx5LBYLt27d4tatW9y+fZvjx49z/vx57HY7MTExlC1blpIlS1K6dGlUKhVpaWkk\nJCSQmJjIzZs3qV+/PjVr1qRo0aIUL16c4sWLU6pUKUqWLBm0t3RP3KXe1M/Mz2TvB12E3Z17u93u\nCKTJq5i3L/d5amoqRYoUCcbh3BNE4fNyG+7wNirR37HkdsM6p23ktn4WiDHk9n3njgmu1XCCLbrO\nLlXhHISEhGA2mx1jECp0CL36cmo95E2Sss1m4+LFi3z33XecPHkSuVyO0WgkJSWF5OQ7pKdnOLYj\nkWTWfjUajY6kXqlUilKpJDQ0lI4dO6JWq7l+/To3b97kxIkTrFq1Crlcjl6vR6PRAJkCun79euLi\n4tBoNNy8eROFQkFoaCgZGRlZCjPExMRQtWpVwsPDKVmyJAMHDvRoMvNGLJxddjnVzxTOs/OE7PyZ\ngpBqkZ8CK+wrJ3epczBNbi22cls/FC2+B4hAuzqdtyP815cw/EBan85vzM4dx+9V93XXzuvBKCCd\nWx6g2Wx2WHHO58Bd4ntuEY+5ufCkUikXL15k7dq1/PLLL1y+fNnRosV1PcZqtRIaGopKpaJ///68\n+uqrWCwWbty4wc2bN7l48SJTpkwBoGzZMpw/f4HQUAUHDx7g0Ucb8MYbb1C8eHH69HkbtVrNhAkT\n6Nq1KwkJCZw9e5YzZ85w9OhR1q1bR1pa6n9tmWRERxelR48eNGrUiAoVKnD8+HHGjx/P9u3bkUgk\nqFQqZs6c6cgBzMjIoEyZMtSoUYMhQ4bQuHHjgF6vvKxDoZSgTqfzakIWyRt/IntPnTpFREQEVqs1\noE1oAfr378+GDRtQq9XMmzePevXq+X2snlKghQ/uTpJCJYVAbE/IDfQ17yzQbldnwROiWIM9Btfv\nO/fly6sRbaAtPrvd7mhRBJkRs+5yNT15C3edpJOSkli2bBmrVq3i4MGDjk7hEomE0NBQQkND+eij\nj3j22WcxmUxotVq0Wi3ff/89x44dpU6dOtjtNo4cOca3385h/fr1tGjRgl69epGYmMi0adN44onH\nmTv3R0qVKoXJZOLYsePs33+Av/7aTrduXR0RgM888yw1a9YkLCyMhx9+mIcffhiTycRzz7VEpVKx\nevUKypYtw9Gjxzh8+Aj79u1l6dIl3L59B41Gg8FgoEqVKvTv358OHTqg0WiIj49n+/btjBo1ijt3\n7rB3715at26NSqXCaDRiNBp55JFH6N+/P+3btw94zVjnCVl4SchpQnZea/R1/aogulSF+c0bPI3s\nXbhwIatWreLOnTs0adKEOnXqULt2bZ599llq1KiR4/bzakK7fv16zp8/z7lz59i3bx/vvvsue/fu\n9eoY/EFiL+Ar/EKOjNDRQHAR+YLdbnekRcjlclQqlU9RkVqt1uHW8pXk5GSUSiVGo5GQkBDH+pmn\nCOtueTWTzAnhGATXm9CXz5OODXa7neTkZJ8L0qakpBAeHo5UKvW4J5/wgiD8TbDGXK+BzWZj6tSp\nfPnllyiVSkcSckREBBaLmYyMzACCFi1akJiYSHx8PHK5nGLFilK+fHnKl6/A1q1bsVgs/PDDt7Rp\n8yISSWZh5MOHjxAXt51169azZ89e1GoVpUuXZu3aVVSqVCnbmAcMGMS8eT+zbNlP3Lx5mxUr1rFp\nUxwhIRIqVKhIixbPsHDhAsqVK8uqVSsoWbJktm289NLL7N27lx9++IaEhEvs2bOPAwcOcflyIhpN\n5rVPS0snLCyMMWPG0L9/f7RaLUePHuXQoUOsW7eOLVu2OCrza7VarFYrderUYcmSJZQuXdqna+iK\n8JwKnT9ccZ2QhR9vw/2NRiMSiQSFQhGQceeExWLxuZi6twjLGsGKkLbb7Tz33HNMmjSJEydOcOLE\nCVq0aMGrr76a6/cSEhJo27atW4uvb9++PP3003Tu3BmA6tWrs337dkqUKBGUY3Cl0Fh8/lgZzhYe\ngFqtzvEB9WZMviC484SJPCfrJj8QgmfcFbHODX8DGiQSiUPwAuFSvXPnDoMHD2b58uWEh4djt9sd\n2yxZsgQSiYRr166TkZHB66+/zuTJkx3JvMK63tGjR/nwww8dVeYrVChHenq6Y0xyuZzGjRtRr94j\nLF68iAoVyjB58mf88stSHn64LmXKlOatt3ozePCHyGQyevXqzYoVK9mxYw116tQC4PXXO2Kz2Th2\n7G9++20FM2fOwWw2I5VKePvtvvTq1ZOXXmrn8G48/fSz/PPPPxw4sIty5coC0L9/Zm1EvV5PzZr1\niIgIp3nzJzlw4BBjxoxh2LBhREZGEhUVye3bd0hLS6NWrVqMHTuWiIgI4uLiWL9+PSdPnqRRo0bo\ndDpCQ0MZOnQoAwYMCNr6XG7rV4Jb2pNUC1+sI1+4F2t8wdy+TCbjySef5MknnwzINq9evUrZsmUd\n/y5TpgxXrlwRhS/Q+CI27lyawhpEfo/FNSXAFyvPdQy+uH6dS5xJpdJ8L2ItTHI6nc5tz0RPsNls\nzJkzh1mzZpGUlOR4iencuTOdO3d2rO1du3aNcePGkZGRQefOnTlz5gxLly5l164dtGjxLEOHDqVa\ntWrI5XKGDx+KRGJj164/iI0txXffzWXAgIEMHPghnTp15Msvx2Oz2Xj00UeJiSlKXNwfREZG0L59\nK+7cSeb69fIDAAAgAElEQVTXX39n5swfGDduPGFhGoxGI3v3bqRatcpZxh4SEkLdurXo0uUtnn++\nKXPnTmLbtr2sWrWFd955h27delCmTGlSU9ORSkM4dGhPtsnEYrHw2GPNiIyMZMeOLVn6ot2+fZtF\ni5YybNgnNGnSmBs3bnDu3AW6detKVFQUpUqVJiYmhurVq5OQkIBUKqVs2TKMGzeOKVOmkJ6eTvPm\nzVm+fHm+rDFLJNkbMue2Tgs4/r+gpFoEW/i0Wq3PnqHccJ0D8zW/sqC7OoWbXhANT5opugqes0tT\nSOb1x+Lzxs3oKniC2GVkZBAaGuqzy0aIJgwLC/Po8641PYWb1NcHIjk52SvRdG5RBJnreN4cu91u\nZ+HChbz3Xj8MBiNKpRKZTIZWq0UulzvctGq1mrAwDXfuJHP79m2ef/55vvrqKypWrOgY97p161iw\n4Ffi4rajUqnIyMiga9dOzJo1Jcv5sFgsrF37B5Mnz+DIkUx3T7NmjVi9en6O98+bbw5g6dI12GxW\nypePZfToj+ncuX2Wz7Rv341Tp85w9Oga1Oq7rjS73c65cwl07vwBCQlXsVqt2O12ihUrRu3atWnT\n5kU6dWpPixbPIZXK2LZtU7bnIS7uL9q168jw4YP5+ONhju1evpzIiRMn+eCDj7hx4wZFihRx/Ld8\n+XLUq/cI0dFFOX36NH/8sQmpVIpOp6Njx4789NNPeV6f/HBBCksewr0ruEuDEUyTl+s2kAhWd7CK\nUVy5coVRo0axZMkSr76Xl6uzefPmdOnSBch/V+eDHzecB96E0AuTa2pqqqOcl2t9z/xKhBcELy0t\nDb1ej0qlIiIiwiE6+ZWHZ7fbHefEZrMRERHhKLeWX/vX6XSkpqYCEBkZ6Sjq6wnnzp2jRIkSlChR\nnL5938FgMKJSqVCr1YwfPx6dTkdSUhIHDhxg6dKlVKpUiYsXEyhevBhFihRh584dfPLJJ/z7778A\nFClShK5du/L778upV68uNpuFqlUrsGbNBhYsWJpl3zKZjPbtX+S33+aiVofy0EOl2LVrP++997Ej\nSMaZjRu3sWTJKjZtmsaVKyvp1u1Z+vX7iNKlazB69CQsFguTJ88kLm4Xmzf/nEX0IPO+unnzNvHx\nCWzf/j2pqds5cmQhY8e+TfHiMqZM+ZLY2IpcvJhAcvItWrVqy5tv9mHmzG84evQYa9aso02bDowf\nP8YhesJ2ixaN5tNPR2GzWTl48CBXrlzhxo0bLFiwgHbtXuLkyVNMmjSZrVv/RCKRoNVqKVu2DJs2\n/UFsbGmKFi3Krl27vLr2gUa4Z4SqRWq1Go1Gk6VTi9C7U6vVotPpHA2QnVMw7jeCbfEFI5WhXbt2\nzJ8/H4C9e/cSFRWVb6IHhcDiE/rxWa1W0tPT3Sb05mbhuSK4Ov1ZtM7L2sotB07AX8vTZDJhNBqz\nuLmccU6Ad3dO/A0Wcg5QyWn/zqkizvtPS0vL0817+vRpmjZtislkxGKxotGosNslGI1G7HY7Go2G\n8HANGk0YxYoVJyQkhNOn/yY8PJyZM7/mxRdbY7fb2br1T776ajp//rmdKlUq8+mnn1GkSBG6dOlM\nnTpVWbRoJjExRVmwYCUDB35OdHQ0v/02l/r16wKQmHiFevWa0b59M3744WMOHDjFW2+N49q120ye\nPJo338x8471y5Rq1ajVj8uR36dPnroVnMplZunQbY8fO5erVW+j1RubPn8rrr7fNdswWi4XY2McZ\nNKgLw4f3yvb3RYs28s4741m9ejrXr98iPv4yx4+f4+zZS/zzz1VAQkiIBLVa5XAjFylSBI1Gw44d\nuwkLC2PKlCnUq1ePKlWqoFQqsdlsjBgxgjlz5tCoUSNGjx7NsWPHWLx4Mfv376dIkSgUCjnp6Rno\n9Zk1YidMmECfPn2yjC2/gk6E+zkvN6y7YBpvulrk1/FA5lygVquDtuSwe/duNm/e7Ei78QTnJrQl\nSpTI1oQW4P3332fjxo1oNBrmzp1L/fr1gzJ+dxR44XOuHuFafcAbwRPwNxoSchYdTwRPwN/I0Jxc\nv64J8CqVyu0k4a2r1JWchM81+dzd/tPT03N08+7bt49nnnkGpTIUs9lMuXKluXTpX6RSKe+//z4j\nR45EKpVy5coVEhMTWbRoEYsXL0ahyExkDwsLp3//9xky5KMsE8m///7LzJmzmTx5KiqVkldfbc2P\nP07Mcn0yMrSM/fwrZs3+lSebPcaUqeNp3rw17ds34/vvP87iYps/fz2DBn1FqVLF+fXXb+nQoQfP\nPFOfn3762O35stlslC7dlqJFw7hw4QaVK8cyePC7dO/ewTHODh3eISEhkYMHf8l2XnU6A7GxrZg+\n/UN69mybbdvly7ehY8fnee+9N7hx4w43btzmxo07JCRcYebMBdSsWQW73caNG3dITk5Bq80UEOEe\nDQvT8NRTzWnQoAFPPfUU9erVQ6fT8eGHHzJ//nzkchkgwWw2ERqaWWGkcuWq/PXXX8D9J3zucM19\nc/5xTbWwWCyOlJdgk5GRgUajCZrVt3HjRs6cOcPIkSODsv17QaERPiGEXujCLqxXeZuWEIi0CFfR\n8UbwBPy1PF3H4JoPmJdF5a/wpaamOiJShf07J5/ntn93wnfp0iVq1qzxX+pBOGXLluLSpSvo9SZC\nQkJQKpVERUUSGRlJTEwJlEol+/fvJzk5mU8+GcGAAR8AsGDBQsaPn0BKSirt2rVl2rQpREdH8/33\nPzB8+HBqVK/I8y80Y+LEH3n11Rf53/8mZXvT/uefy3TvPojDh09Sr141du78PodqGFpGj/6OOXNW\nIJNJuX59tSPFwJWBA2ewdm0cp09P5vbtDP73vzhmzdqE2Wzjueea8+yzT9C//xiOHVtMpUplsn2/\n1QvvoTcY2bbth2xj6f3W5/y14ygnTqwlNDSr8NSr147ixUuyceMilxeB69Sp8wwtWjxF166vc/bs\nOY4ePcbff5/i4sUEtFodYWFhZGRkUL16VebMmYnVamXSpGls2xZHSEgIOp0ejUZFkyZPsHDhwqCG\n5AsEYz0sJ+sQCHpnBbs9s+9fMIVvyZIlaLVa+vfvH5Tt3wsKVVQnZN74vvagE7YTqDU+f6qcBCoB\n3Tl4RiKR5FsCvDOC4EHOyec5kZiYSK1aNZFIQggL06DT6dHpdJw6dZ6iRaP59ddfKV68GElJN0hK\nSmL//gPMnfszEgkoFKFoNCoSE69gNpuJiIigd++3eOutXmzZspXx48dTunQ5lEoFEgl8880ounTJ\nzMvr0OE5OnR4j4cqNuWPTb9QrdrdPLw7d1I5efIMrVrVZdOmE3TrNor580dnE8iICA3lysUSGiql\nUqViVCj/Mj/N/ZS2bZtm+dylS9f48cfVbN48HLlcRsmSUXzySXtGjGjHli1/M3XqOgYM2IxaJWf4\n8Jm89VY7nnuuiWN/69fvYsfOY/z999Js53XPnuMsWryJPXt+yyZ6vd4czp07GcTF/ZBl7FevXqd+\n/Wdo1aol8+b9L8szdPHiRVq2bEN4uJHJkydz9OhRVq1aScuWL1KqVEmaNn2chQt/Zt++A3z99TfY\n7RK2bNlC2bKxjBkzln79+nl03e8n3KVaGAwGh9Dl1lnBm5J4eY0hWKSmplK8ePGgbf9eUCiCW4Tw\nd8ARoOFrU9pATPjCg5Ceno5cLicyMtKjxO9AY7PZsgTPhIeHe/zGHQjhtVgspKWlodVqUSqVRERE\nOIIM8vquVqulWLGiVKlSBZlMygcfdGXkyPeoWLEcer2RiIhw2rR5kS1btrJixSp27tzJtGnT+emn\nefTo0ZV//rnIjRs3+Oabbzly5AilSpXh8SaP8+efmcEZVquVa9euI5VKqFgxFmmIhFKlYhxjq127\nKn//vY4OHZ7h0UfbMm7cbAA2b97B00+/yuDBbVi27EMOHZrA7t1HqF27CykpaVmO4/Tpi3z66Wx+\n+60nBw58xJgxz/Paa5/RsmV/MjJ0js+91G4IXbo0okmTKlm+HxISwnPP1aZOnfKULh3GjK/bEiq/\nRdeuI4iMbErNmh14//2JdO/+KWPG9KV8+ayNRC0WCx07DmbEiLepU6dalr/NnbucJUs3sXHjYiIj\nIzCZTMTHX2DBguU8/PCTFC8eQ+PGjZkxYxYTJkxm9OgvaNmyNTVqPEKVKpU5deoUr732GhMnTuTM\nmbNcunSJ/v0H8PvvK+jR421mz/4OvV5PWJiKUqVikMnkfPzxCCIiIpg7d653N5MX5GflFqHijkKh\ncBtMA3c9L67BNEJErif7CfbxFLQ6nVAIXJ1Go5Hk5GQUCoXDNedPfpE3aRGuCBae4HotUqSIzzet\nPy5XwcISvu+Ja9XdNnw9D1arlbS0TBFQqVReJ5/37duXBQvmI5XKMRiMPPRQGe7cScVotFCyZAma\nNGmIXm/8by1Vz/btu5HJZISGhmKzWalZswZvvfU2PXv2dNwL586dY8aM6cyZ8x0qlRKr1crgwb0Y\nNKgHRYpEMmPGPD75ZAZ9+77G1KnDsoznzz/30rnzQMLDw7h2LYnp07vTt29Lx98zMgx07fo1O3fE\ns2r1VJ54oi4Wi4Xy5dvyWpe6TJnawfHZxMRkevT4haNH/mX6Vx9iNJoZNmwWFy9OJyoq+7U2GEyU\nKtmPhYteo1Wr6kDmZBgff4vNm8/x+eebSU42YLPZUSplaNQK1JpQVCoNt26lcedOOg0a1MJsNmEy\nmf+7rkZSUjKQyaT/rYObMRrNKBQypFIZRYpEEBERhlwuQy7P/N2JE2eRyWSUKVOaf/+9TkZGpvst\nIkKDSqXk5s07aLVannyyKR9+OACDwcDo0V+QkHCJVq2a8+STjzFy5GQMBiN6vQG1Ws3Vq1cDHqKv\n1WpRqVRBzz31di3RtUybp6kWQqHzYOTZCXz22Wd06NAhYMnr9wMFXviE/DOpVOpRNGBeWCwWtFqt\nV29AznUsBZdmSkqKzyW7wLc1NlfXqk6n83kM/p4HiUSCWq32Kphh69attGvXFqvVRkSEBoPBRPXq\nFYiOjmT//lN07tyRb7752hHws2DBIgYNGkLx4iX46aefaNSoEYcPH2bZsqUsXLiIW7duUaXyQzR5\nvCknThzl2LHjxMaW5IUXnuaHHxbStm1zFi6c6pgkDxw4Qbt271KqZDR/bvuVqKhM0bfZbIwePZMJ\nE35Ao5Fz+vQ0SpXK2vXAbrczefJqxoz5nVGj3uavvw6TmHiJgwcHI5dnD/BZsOAg/fotwWSyMX16\nV95991m35+TNN7/j5Ml/2L//g2wvDwaDiZiYL1i9ugdNm1bg5k0t//6bxrVr6Rw8eIWJE7czaFBL\nIiJUKJVyVCo5SqWc4cN/p2nTugwc+DLFikVStGgERYqE8eSTg7DZFOzYsTTLhP7ii704ePAkO3Zs\npWrVTKtUr9dz/vwFXn+9BxcuXOSFF55jx46dmM1matSoTt++venW7Q12797L6NFj2bNnH/Xq1aJ8\n+TKsWLERk8mMXB7Cp5+OCujaUn4JXyDWEt0F0wiWoHOfPqvVikql8ttdmhMDBw6kf//+1K1bN+Db\nvlcUeOETgjYg92hAT8ktLcLdZ93VsXQOtPH1Rs0rHcEZZ0tTsLAAv+pleiN8zsnnoaGhjhqY3lyL\nl19+mfXr1xMammlhzJgxlIcfrkT37iO5ePFfIiLCCQ8Pw2AwYjQaMBozQ6dDQ0OpXLkyjRs3plWr\nVrRs2RKFQsGVK1fo3bs3u3fvwmAwoFAo6N+/F+PHZ1pzZ89eoOPLb5Oamsr6DT9Qu3amKzAlJY1u\nXQeze/dRliz9iqpVK9K580Di4y+yeHEvfp2/h3Xr/+bAwfFUqBCT7Ti2bfubDh2motMZOHv2EypW\nLJbjMXfo8AN//RWPwWClY8fH+PHHt1Eo7gpOSoqWsmU+4I9Nb/H44xWyfb9v3+UcOHCFQ4eyC0ez\nJ2ZTvmIpfv01a1rB999vZ/iw5fxz8Veiou6+VA0Z8h3z5//JyZN/ULx4USDzuj7Z7BWuXL3JX39t\nRa1WkZSURFLSTTZv3sq33/5I5cqV+eWXX6hevTp2u51Dhw7x22+/sXjxIpKTk4mJiSE6uihJSddI\nS0tzWDtSaQhmsxWj0URUVBQJCQkBEatgR0AKBDOp3LWrhRBIE4xEfMjstDB16lTKlSsXiOHfFxQq\n4QtE1RV3aRGu5CR4zty5c8cv4fPE1ZjbOPwVX09eAJxz8RQKRZY3bU9fQqxWK0WLRgNWTCYbMpmU\npk3rcebMBW7eTKV48aK8/34vihYtQtGi0Zw79w8TJsykYYMGzJw1m4sXL3L40CF27d7JkSPHuH37\nNiqVCp1OR/16tfl05FCef74Fixb9zqBBH1OqZFEWLvqGRx6phdlsZuTIycycOY+BA7szbtwgx3GN\nHTubceO+A+DJJyuzZk0/lEoFdrudD95byMJFB9i1+wtq1IjNcjxXr96hTu0hSEIslC8bzZ59g7OI\nmcClS7epWXMce/Y8h8lk450++0lI0PHpyE4MGtQKgJfbTyNDm8qmzX2yfd9gMFGixBesXNmDp5/O\nWgD7+PFrPPbYbM6eHU/ZsndffHQ6I2ViB/PNnEF06fK04/dr1uyhS5dx/PnnQlJS0li5chN79xzi\nwj+JWK32/woyW5DJpCgUCvR6g6MpamhoKEWKFKFcuXI0aNCAli1bEh0dzejRo9mzZxdhYWFotTrs\ndjuffz6AZs0a0q/fSP7++zzNm9fhwIGzJCenYzJZWL16Nc2bN8/1fsmL/BK+/LIshWLYSqXS41QL\nb4NpOnXqxJIlSwrUOl+BFz7IdAtCYLoi5CYYVqvVsTgtuDRzuvG9LdnlSm7C5zqOnAJn/BHf3IQv\nr+R38OwlZPv27bRu3QqJxI7dHoJSKcdisfLEE9U5fDiBkiVLsH37CmJiimEymejd+yOWLl3L55+P\nYfDgIVmOa+XKlXz0UWa5rf4ffMDZ+HjWrVtHhQplGTlyKK+/3om0tDTGjP6SOd/O5enmj7Fo8Wwi\nIiLYtesAnTq9Q7HocCZNGca8eStYvXobpUpFcuNGCh9+2JLPP2+X5fg/+Xg5s7/5iz///IxHH30I\nAL3eRMMGIyhXFhYufopWL2wi6bqZg4eHER2ddf3usUaTqVFDxtyfH3dsc9myRD744AAqpZIvJ3aj\nV6/v2Lv3PWrXzhq0AvDuu8s5uD+R/Qf7Z7u+9R/5iqbNqvP1zK5Zft/mxa9IT7cTt306EomElJQM\nvvrqdyZO/A2VKhSdzkBEhJoGj1Zh954zlCsby6rV84mOjiIsTENCwmWaN+9EVFQUq1evpVy5cvzz\nzz8cP36cY0ePsmTpEi5duvzfeOxMnvw5/fr1Jj09nQkTpjJjxg/UrVudxYu/Ys2arQwbNpmGDasC\ncPDgWbRaA5UrV+Lw4SM53jO5kR+h/wL5JXw5dRkRCERXi1atWrF9+/aglUS7FxT4qE7wrmyZp9ty\nxmazodVqSUtLQyKREBkZmedNH6h0BE/GkdND7s8Y3H1XELzU1FTMZjPh4eE+R8++++67dOjQhsjI\nUBQKORUqxPDVV305e/ZHzp9PAqBGjSo8+2xHihevSXh4FX77bTV2u41hw4ahUCjQaNRERoYTERFB\n165d0ev1zJs3j7FffMGyZcu4dOkSr7/ejf79h1OyRBU+/ngso0YPZ/XqRRw/cY6SJR+lfv0X+OC9\nEWA3c+5CIq+8MoBLl85y6NBw/vlnLFu3fsj06Vv44ot1Wc7N+AkdGTLkOZ5uPoadO89gt9vp9sbX\nmIwZrF3/LFFRocRtb02dRyKoVm0sFy7cdHz/zz/jOXnqGhMm1suyzVdeKUdCQnt69y5P9+6zCQ2F\nlSv/JiPDkOXcmUwWFi08ypeTXsx27bdvv0D8+duM/OylLL/ftSuerX+e4ZVXm9Oh/WeUL/cKMTEv\nM3Hibzz9dF3mzx/GpUsLuX59Kalp2syXjr9WUr58GY4cOUmbNt2oWfMpLBYb7du/zIYNG1ixYgVJ\nSUlERUWxdt06EhMTGdC/H7t3/8WbPXswdOgoKleqx7Jlq5gwYQzx8QeoWPEhatZ8gbi4fezfvxyT\nKYSTJy/SosUjqFShnD9/gejoIg73ni/kV1Tn/bAfwdoTXjJVKhUajSZLUJsQICP0ktTr9RiNRg4c\nOEB8fLzDheopGzdupHr16lSpUoWJEydm+3tcXByRkZHUq1ePevXq8cUXX/h07P5QKCw+oWCskCTu\nT/I53LXWgGxrV57eIK4J3N7ibHG5FpD29E3TH6tTsHyjo6O9Sj4XyM36Ll26NHp9GjabHbtdQqVK\npdi0aTxjxvzK4sU7MBpNVKxYmgYNatKgwcNMnTqf8PAI/vprA8WLF3OsKU6ZMovJk2fSpUsXmjZt\nyh8b1rHlzzh0Oh2lSpWkYcNG1K5dm/j4eNauXYvZnBlGrtXqiI0tTpnYGM6dT0QqhZ9/fp9HH63E\nzK/XM+PrdWzePIDGjTMtud27L/D88zP49NPWDBv2QpZjmfn1VkZ8vJJ27Rqw6Y8jxJ9rT3T03WO2\n2ex8OHAf836+wPoN/Xj88YpUqvgZb75Zjk8/q+323N26ZaBcuRUMHVKClStSiD9npFLFIrzerSED\nBzblo4/WsW/vJQ4eGpBtUqxebTKvvtqYz8e+zPXrqaxYcZitW0+zadNJrFYbGo2CVq2q0q5ddX7/\n/W92777OqVM/oVZnjvmxxz7gwIGzPPJILZKSbnDrVjIWixW1WkWbNq1IS03jTnIq2ow0bt9J5tq1\nJMd1rlu3DhMmjKNp0yeAzDD5H3/8H5MmTcFqtfLaax1p0aIZ8+YtYu3aP1CrQ1GpQjGZTJjNFsLC\n1CQlJf8XDGRn27a/qFmzpseuO8Hi87Xogjfkl0s1kMWwnYNprFYro0aNYu3atVy/fp26detSu3Zt\n6tSpwwsvvEC1atXcbsNqtVKtWjW2bNlCbGwsDRs2ZNGiRVma1sbFxTFt2jRWr17t95h9pVAIn5A4\n6m+1EYHk5GTkcjlms9lrwRPwN8LUZrORkpKCSqVyrKEplUqvrKu86mXmhiB84eHhjhxJ52K/eeFO\n+AQrUaGQIpVKsNkgNFROtWplOHkyAbtdQpMmddi4cQ4KhRyDwcAjj3RGo4lg69Y1REVlvoxkZGTQ\n6oWXOXkynl8XLODFF1/Msu9Tp07RpUsXLl68iMFg+K8AeBgzZoynWLFo3u37Ebdv3WbaVx/SsmVj\nXmo3iMuX/yVu++dUqVKKyRNX8PkXy1i1qh8tWmSmEOzYcY5Wrb5m7NiXGDTobgSm3W6n/UvfsHnL\nKaZPb8g771R3ez6mTT3BZ6OO0qFDXf744ySXLr2ESuX+pej113Zy+9Yd/tic6Qa8fNnE0iXJzJt7\nm/P/GAgJkVKqZDilYyNRqRSoVHLUagU3b6azZcsFKlaIJDlFh1Zr4aGHNFgsNnS6EOLi3qZKlaJI\nJBL++OMcL7+8iD17ZlKuXAzDhn3PokV/YrHAo/Wq8+RTjYgpUYwvvviW2NKxrF7zu6PnH8C4cROZ\nNGka9eo9wrfffse1a9eYN3cuy1csR6NW80TTJxg58hPq1KnDL78sYNiwYaSlpRMSIqFkyaJ07dqK\n6OhIPv54NuXKRTNwYBumT1/DlSt3yMgwoFTKMZstzJnzHW3bts3SZign153wQuTvi29e5KdLNdil\n3uz/NaGdNm0ax48f5/jx47Ru3Zo2bdq4/fyePXsYM2YMGzduBODLL78EYPjw4Y7PxMXFMXXqVNas\nWROUMXtCoancAv67FwXLSngz8meNzp+xCEEjgKOLRH4n4wvdBYS1DG9zAV33feLECRo1akhYmJzy\n5SOwWOxcvpyO2Wzh4YeLo9NpsduVrF79NTKZlN9/38JbvUaTnqGjcuUK1KnzOHq9Hr3eAEgwGk2o\nVEp69eqJRqUkLCycsIhIrly5yo0bN6herSoLFizghRdeYPPmzXw94yu6dn2XihXLMXDQu2C38957\nn1OuTHEWLh7H99+voH79oXz7bR+GDOtAWLiKdu2+YdGit2jbti7NmlVh7dr3adNmFnJ5CO+/3wKD\nwUzP7j+xY8dZ3u5dkiFD9tOiRSmqVMkeJPDhR7UpVVpDjx47aN26VI6iZzJZWLfuKmvX3Q1YKVdO\nwUeDS/DR4BIMHJjIypUp9HlHiV5vQKfVkp5hIyPDxv796bRuHcMrr5Smfv1IatQIx26HkiU28+P/\n2lO1amaEaUaGgddfW8ornZ7knd6TOXriIjabhArlS7Nj50LOnbvEwAFfEH8uEYlEwu1bt2jSuClm\nixWTyYTNnnl9ixUrRu/eb1O5cmWqV6/O008/zY/m/7FlyxbmfDOL+vUbodGokUjgg/e70rVbB7Zv\n38dHH03gzJlLLFz4Bc899xjPP/8+M2asZ+vW0XTtOoPDh/+hfPlwzp27Q58+ffjwww/57LPPsoT8\nCy+7riIoPLv54Ya8H1yd/mKxWAgNDeXxxx/n8ccfz/Pz7hrM7tu3L8tnJBIJu3fvpm7dusTGxjJl\nyhRq1qwZ8LHnhih8HuDqShQsFX8Wrn0Zi3PQiOAizY+3SmesVis6nc4hfBEREX4v4E+bNo2PP/4Y\nlUrG++/X4+efT6LV2hg9ui1vv92UAQOWcP26ljffbEmzZj24cCERo9FKzZqV6NChJSVLFqNEiWIo\nlaG88cZgmjdvxv/+N5Nbt+5w48ZNkpJusnPnXr79di4PPfQQylAFp06foc/bvSlTpgxPNG3GZ6NG\no1KpGDpkCO+889F/lWTCuHDxX+rX70bzp+rz1Vcf8s47U4nbdoIffuxHWJiSLl1+4Pvv3+CNNxrT\nvHk1Vq7sR/uXviEtzcDiRfvRadM4G9+Q4sUVhEihSZM1xMd3yuLuFLhz20BkRAjbt1/l+ee3smHD\n09nO7aefnqBsOTlNm7q3WpYvS+bzL0rSs2fWNJVdu7Qs/z2dRYseJSLirpehZ8/DVHoomg4dMice\ni+h46dwAACAASURBVMXCwzW/xmS2sHzFDnr2eJxrN5JJTTVSqlRxatZ4Aa3OTEREOFOnTiQmprgj\nSnbIkI+5evVfRgwfzqMNGrBmzWo+HjGCPn36UK5MaZ56+hleffVVZs78mu3bt9O8eROaN3+ciRNn\ns2//cUZ8/C59+75B8+aP0aH9u5Qr14Y//pjFiROL6dx5BHXrDGbtuhHMmfMHK1fuo0uX2vz220mm\nTZvGypUrOXr0aJZjdg3sEO5ZwSUf6LB/5/3m5zMZ7JZE3hSp8GQs9evXJzExEbVazYYNG2jfvj3x\n8fH+DNNrCoWrU8h18Tbp2rl7g7MrMRD5gBkZGY6+YHnhWkBarVYjk8n8Tonwxt3qLjUiJSXFZ6tX\n6HIxdOhQ/ve/H1GpZDz0UBTnz99BIpESF/cR9euX5dlnv+Lw4USMRgs1qpfmlVebsHXLCS78c4fj\nx9cQGZmZx5iSkkatmi/SuHFDliz9Ocva6ezZPzJ06CgGDRrE559/TkhICFqtlkOHDrF7926+mT2b\nO8nJjuMMkUDXrp25dPkK27fv+m/CtBMaKkcuk5CWbqBC+eJs2Pgpx44l0LPnbKZP78RrrzViy5bT\njP18HSf/vkqN6iqOHG3oOD82m53Or5xk34EMzp/vlCWNISlJT+XKy5g/X07DhjKef16LUa9g997W\nxMQo//u+jVIllvHNt2Xp2DF7Os3WrWm0b/8PN27URKXKek0a1j9Hs6dKMW36w47fXb9uoHLlbWzb\n1pt69Ury8cdbmD17NyqVkq+/fp1q1UrSosUU7HYJdpsdk9mM3Z5ZGL1Jk0botDrS01L59/oNtFod\nEuD7H36gc+fOWe6JS5cusXz5ckaMGEFISOZa3M8/f02nTpnussuXr9Cj+wCOHjvB5MnD6d27MyaT\nieHDJvPd94sZPrwHn3zSi7Fjf2TypPl8OfENUlK0fPnlCtq2rcKqVWfQ6y1ERERw5cqVHO85IdpZ\npVK5jXR0J4a+3Nv55VIF/7pNeMLFixeZNGkSv/76q0ef37t3L6NHj3a4OidMmEBISAjDhg3L8TsV\nK1bk0KFDfhX08JZCJXyeJp/n1gsOApMP6ElqRV4dE/xNifBEwN0lnwv782f/er2efv368fvvi5BK\npdjtdhQKCRaLlKlTO5GYmMzs2VsxmWD69O507NiIYsUimDlzI598spSDB5dRtWpmV/SUlDRq1WhN\nqdKxjPxsCHfupHDr1m2Sk1NZsXwN8ecu0KtXL1577TUqV65MmTJlCAkJYefOnbzZsyc3b93ii7Fj\nafHMM/zxxx8sW/IbBw8fITq6COXLl0Wv13P6dDwymRS9PnN9KSYmnNu3teh0xv8CKzKPq0SMmkaN\nNdSqqebrmYkcO9aQihXvlpMymWw0f+owWm0IR46+5Dh3r7zyJ5cvX2XfvszJ0mCw06O7js2bbaxe\n04KmTWOYMyeesWOPkphYG6k0+8tOowanadpUzbSvsuYOXrxopGbNc5w//wyxsXe7eTR/ahdFo4tT\no1YJ5nyzB53eQkiIjK1bB9P/g4WcOn2dyMhwbt1KRqEIJSoqiqpVKlMipijFihfnwMGjnDhxkrJl\ny9K3b1/+itvGn9visFqtlIktTdMnn+LNN99k0aJFzJv3E40aPMIX4z/ll1+WMHfuIlq3eppfF3zj\nyEH77bdV9O07jEoPxbJm7Y+ULl2CuLh9vNzhXaKLRvDRR11Zt24nGzbs5tH6FalZqyyLF++kefPy\n/PXXJfR6C1KplOT/XmJcya28l7/99zzdT6AJtvAdO3aMRYsWMXv2bI8+b7FYqFatGlu3bqV06dI0\natQoW3BLUlISMTGZdW/379/Pq6++SkJCQlDGnxOFQvhy68nnTF6CJxCIfMDc2go5d0yAnING/AlO\ngdyFL7fk80Dsv2PHjvz55zoslhBkMnjjjVg2rL+F1SbHYjYRHiHj5k0zgz9qw6jRrwCwa9cZnn/u\nSyZ8OZikpFvExe3jcsJlbidrHc1m1Wol4RoVYWEqzsRfRhmqpGq1h0i+nczt5BRSUzMwm83I5ZnW\ntt1mp07dujRu3JhmzZrxzDPPEBYWxokTJ+jZsyfnzp1Dr9c7ErIzLYbM9bMK5aNJSdbx1ddNuH5d\nz5gxB1i2rA6tW2dWsn//vVOsWH6Di5ceR6G4e+5SUy00ePQAlSsXYcPG59m+/TptXtzEufNqSpa8\n+zm73c60qUZGjTLyxbj6zJh2isFDi/He+9krwty6ZaFc2RP8faoaFStmvZ4vPPcPRaLCWbSkoeN3\nBw7coUmTXYSHyShWTM77H1Rk5KfnaPJ4FTZt+tvxOYVCgclkokKF8lSq9BBGo5G0tDTOn7+AwWBk\n/PjxDBkyxHFv2O12zp49y7Zt25g6ZTJJN24A0LdvTyZPHu3Y7qlTZ3m790BOn45n1OghDBjQG4Db\nt+/w1lsfsnHjNh6uVZnEK0mkpWWg0YRiMBipUCGa8HA5Z8/ewGSyYbHYMZnMFCmiJCPDjMlk/W87\nt7N5MoRkb09beXlSMsy5y0J+1s8UCGaFGMjMpd29ezfjx4/3+DsbNmxg4MCBWK1W3nrrLUaMGMF3\n32UWe3jnnXeYPXs2c+bMQSaToVarmTZtGo899lhQxp8ThUr4cko+91TwBALRhT2nhraC4Nnt9jyj\nJP0VPneWqyfJ5/7uv3nz5hw5shebTUKxYgoWL25A//4nOX9eS7FiSiZPfpwffjhNaoqc3Xu+wGy2\n8PnnvzNr1h+ZKQ42O3XrlqdFi1ps/fNvrv2bzt+nVqDR3L0ekyfPY+zYHzl4cCNVq2atXPLKK28T\nF7eHX375iaSkG/x94iRHjxzl1Jl4ricloVZrHOfn2WefZdy4cURERLB+/XqWLFnC4cOHUSqVjkLb\nIRJYvuIF7tw20L//TnbsbMAjj0Rgsdho/uQBbFYbu/c1zDKGq1eN1Ku3n3btKrB187+82sXMxInu\n76etWy28/LIWvR4SE2tTokR213TPnglcuWRky7asx5qWZqF0qbPs2duM2rUjSEszMXToaRYsSKRo\n0VCmTKnFiy/GEBu7hZQUE3Y7jv6FZcqUod4jddCoNWg0avRGI4sW/YbNZqN7t26cPHGCA4cOER0V\nxcO1a9O9Rw9ee+01kpKSaNu2LefPn2PSpFH/dWkfS7mysSz+7Udq1bpbTPv339fQr99QIsPV9Hu/\nNwsWLOXUqXhqP1yeU6cTeeKJKqxd+xF2O7zaaQb79p/n+ImBZGSYaNx4Fk8/XYJu3SrTufNWTCY7\nNpsdqzVzSktJScnysuat8OWEOzF0LigNOHprBqt+pkCwE+XXrFnDlStXGDp0aFC2f68oVMIHWauV\nuAaL5NRt3JVAdGF37a5gsVjQ6XReNaP1NxfQ2XJ1dqvm1nnd3/23aNGCfft2I5NCqFLGjh1P8PLL\n+0hKsvDtt0/RpUtlfv75LAMH7mXu3HeZMWM9hw//g8lk48knqzNnTm8qVy75X8j9MV5+eTp79syn\nTp2qjn2sX7+DV14Zyrp1v9K8edZItFdeeZvt2/eyZ892KlV6KMvf/vprJ+3adeSltm14vtUL7N+7\njz2793Di1Gmk0hCioqIyo0btdnT/1T6NiookNTUNpVKJ2aznscbFOHz4Bn+feoLYWCW3b5t4uNZu\nOnUqzsxZWXOf/v4/eWcdFuXWvf/PDDAMjYiKiAq2ggoIKpiY2Mqxu47dwbHw6FGP7bG7OzgGFuqx\nwMYiFBQLRFBKcoDJ3x8jg+Pga5/3935d18Xl5Tyx97OfuPdae93rfpCFu/ttRCJITTX5jx+v3r0l\nHA+Qo1AKGPprUSZMKkGpUmrPTqlUUsw6nD17y+DtrV27tX//WJ49E7JyZXXGjg3jdshbDESgr2/A\ns2dNWbHiOTNnPgLQupcikQhLSwtMjYwQGxuT8Po1CfEJtG/blmUrVmBnpxa7lUgkBAUFcTIggKPH\nj5OYmIienh71PGqxd/8mihVTZ4qmpaUzffo8tm3bT9OmDdi3b4OGVrRv32GGDZtAXp4UJ6eyHDjw\nG+XLlyQ09BleXtPw9q7O3r0jkcsV9O61hgsXH3L//lhyc2XUqbOaVq1s+fXXKnh7B+LgoM+TJ3nk\n5akQCODt2wLw+17AV5i97x3K5XKNAvuH3uH7+nvfw3408O3evRuhUMjQoUN/yPn/W/ZTAJ9SqUQm\nUxctTktLw9TUFLlcrlFt+FzAy7fvocKezykUi8VfLUb7rVzA7Oxszcv4JeTzr23fy8uLGzeuIxaD\nQKDHgAGl2bUzBrlCj61bvejWrQJPn6bh5HQIsaEeMrmSXj2rUsrOjCWL7/A4ejk2Npbv2pZQtuwY\n5swZyahRPTRtPHr0Ane3Xvy1/A8GDeqp1f4vvwzm6pUQrt+4jIODvda2FSvWMG2aH3/OncOYcWN0\nIgIzZsxk+fKVNGnShJSUFCIiIpDL5VhbWWFdvBjGxibExcURExODQCDA1NQUhUJB+fJCatUyY9/e\nBFavqcTgwQXq6MuXxeI38xlyhZI9e4zw8Sl8rTUpSUmZMpncPgYpb2HiXAEPnkC7NhZM87Phxo1s\nZs9OIC6uKkJhQb9zchQUKxaFoaGCjAyoVAGUKoh6pJ1VbGxsTMmSJZk4cSLu7u5kZmaSnp5ORkYG\ngYGBBAQEYFfKluxsCenp6VR3cmL8xIn4+PhoPrhxcXG0bN6MlLeptGvbjL17j9CyhRe7967XmiA+\nevSEEcMmcftOKB06tub6tZu8SUxipl9vHJ3s6dZtDv36NWXVqmEAPH2aQIP6vlStVpJz59RcsIED\nNnLi5D3u3h1NXp6CunVX06lTaXx8HOjS5R9GjizG6tWJ5OQotcDvU+W9vpe9387nyA19ixjtjybK\nr127Fnt7e7p16/ZDzv/fsp8K+FQqFWlpaQBf5OF9aN+DCJ+bm6u1hvelmnTw7WoTmZmZyOVyLcD7\nkj58CfA1bNiQkJBbGBrmV5FX12sUi4XUqV2KEydbM3fuHRYuvEeZ0uZMm16XX36phEqlonSpjSxb\n3p9+/RppzufmMgXrErYsXDiW8+dvcetWOFGRz3j2PB49PQEGenrIFeqPjVyh1pTT19fDQF8fQ5EI\nQ5EBhoYiDMRi3r5NJzk5FS+vxvTu3Yu6detQuXIlhEIhubm5eLdoxf2wcHbv3q0h7qpUKuLj47l7\n9y7z5s0jPDwcfX19jaivUqnE0tISCwtzRCIRkZFR5ObmYmgowshIjFQqRyrNw9NNgVgMl67CosWG\nNGyoT82a2tmEM2fk8vfBPB6cVf9fLoczQTBrOYQ/BgFgbqGHlZUeaWkKUpIVyORqZQpDQxFZWdla\nJatUKpVmDcze3l4D1tZFimBbqhSubm7Ur1+fdWvXcvfePeb/OZcRI4cjFAoJDQ1l947d7Ni9B7lM\nRq1arlRzdGL7tq380qkVK9fMx8zMlMjIaIYMmkDEw0f4zZzMhAnDNdcjkUhwq9WUx9HPsLQ04dGj\n7RQtqs60Dg9/RpMmk/CoW5mjx/wQCoUkJKTSsOFvmJuKuBkyGz09PYYN28qhQze5eXMECoUKT8+1\ndOtWlkaNbBk8KIghQ4uyfn0iOTkFnl9+gtu/CXyF2YcVUj6sn/lhDc2PvZP/BlH+zz//pHHjxrRs\n2fKHnP+/ZT8N8GVlZWmtnX3Lw/8lkkAf2oeadBYWFl/90H4t8OWHVRUKBfr6+piamn5VHz63/fbt\n23P27FmMjaBoUUhJFVCpkj4+PmKWLMll/fpGTJ50hYTXuZiZGfLixRAsLdX3p0Xzg0ilRly89Dsy\nmYJNm86zaOEx0tIl5OXJMdDXo0J5a6o7leLqjWeYmpqxbt1oxGIRRkYixGIRjx/H4eMzl8DAtZQt\nW5K0tEzS0jJ5+zaD/fvPcOJEEIMGdiEq6ilPn70kPj4RmUyGiYnxuxT4PLp06UqHDh3w9vbW8JrS\n0tLw9vYmKiqKrVu34uPjw9u3bzUVLm7cuMGpU6c091ogEJCbm4urqyuurq6UKFGCuLg4goKCiI6O\nxtTUVFMFx9DQEAMDA1QqleZ+vb+unJeXh4mJCXp6QoRCPYRCASkpqRpgEwgEmgQLMzMziha1ws6u\nFC9exPLs2TO8vb1ZtGgRFStWRKVS8fLlS0JDQ7l37x779+4lNu4lKhXUru3Orl07sLPTzhRVKpVc\nu3adDu07kZaeRpnStty4eZoSJYpp9lGpVBw5cprhw3wxMzFmz/5NREc/Y+xoX2rUsGf5yhEMGbKC\n1wmp3Lm7DmtrtTf/8mUijRpNwNLCmBs3lyASiUhLy6JZs+lkpmVxL2weRkaGTJiwh+3bLnPlqto7\nrFdvHf36ladKFUt8J9+kZ68i7N6dgkSiRCgU8Pr1GwQCwXcp7/Wf7GvLiBUGhu97h4WB4Y8uwTZ1\n6lR69+79ryef/Gj7KYBPLpfz9u1bTXmvb+XgfY36+Ie0AAMDAyQSyTdJfXwpreJ98nm+VwJ89Vrl\n5wBf9+7dCQg4irkZ1HKGa7dg0iRTxo41xcEhCSOxPtkSGVOnWvPX0jSWLGtC//7qGpXHjz+hc+cA\n+vVrxJWgB7yISaZYMTHJKTJWrepOu3Y1KFZMPfm4ezeW+vUXc+vWSpyc7DXtK5VKSpfqzaCBPvwx\nb5RW32JjE3By/IXNm+fTtZt2WbO3b9OpVrUldeq44OJanTs37xEa8Yj4hERMTY0xMTEhMTEZSwsL\njgUE4OHhoXW8XC7Hx8eHCxcusGHDBmrVqkVoaCh3797l5s0bhIdHkJmZiZGRkYbz5efnx5gxY5DJ\nZO907d5w5swZli5dip6eHi1atCAqKpKnT58hk8mwsLCgSBFLhEI94uLiMDExYebMmfTv3x8jIyMy\nMjJ48eIFL1684MSJE+zZs4ciRSxJSkqmpI0Nrdu0YcqUKVo6a76+vqxZs5qFC2fj7u7CvHlLOXfu\nEtWqVWXFimXUr18fgNevX1Onjgfm5sbs3r2UuXPXEBgYxJQpo5k+fZzWWEgkEmb9voSVqzajVCrZ\nsmU8vXs3fQfOUnr1XMilS2FcDvoLR0f1vUtLy6Jly994/TqVe/dWYGVlTk5OHi2azyAqKo62bWoS\n8TCOO3diEImECASgVIJMpqBmTSsEAgFPnqTTpo05AQFpSKVKFApITEz6/xb4CrNPeYf50k/fm4Sf\nbyNHjmTatGlUqVJ4qb3/VfspgO97a/J9qQhrftWX93lwcrmcrKyszxK0/Zh9Lq3iY7p837pW+amx\nHDBgAPv37cPEBBo3gIvBAtassaBPHyPs7BJJS1PSqaMFy/4qyYTxCURFibh9py8CgYDVq+8yfVoQ\nuXkKnGsUpWfvSnToYM+IEcHk5Rpx/sIErbYc7KfRtYsXCxcP1vq9Z88FhN6P4X7oQa2QrFKppEK5\nNjRrWp+NW+br9L1li/4kJCQRcvuk1vXl5eVx8eI1OnceRpvWTXj+LIbwB48xMDCgmLU1VapWw9nZ\nmS2bN1OiRAmOHjuGg4ODzvmXLVuGn58fM2ao163On79ISMgd5HI5NjbFcXAoR1xcHLGxL5kwYQJT\npkzRmtknJyfz8OFDevXqRXZ2FkWLFiUuLo6SJW3x8vLSUsyeOXMmS5cuZfp0X6ZMmUxaWhoBASfZ\nsWMX16/fxNramiZNmhIaGsrr1/GcOHEAd3dXTVuxsS9ZunQNWzbvokQxazr4dGLrlq20a9uYzVsX\naMbnzJkg+vWdjIW5GQEndlG5cgUAIiOj8fLqRNmyVsTFpeDgYENQ0BItCsSU37awbt1JDvn/TsuW\nbu/GWkrPbnMJuhLBuPEdOHr0OuHhMVhYiJBIcvH1rUjTpiXYuOEZpwNf4+9fnsjIXMaNjcHEVI/M\nTCUCgQozMyHZ2e/W2hR6JKcUzvP7Xvaj62cCmkhAXl4e+vr6n/QOvxYQe/fuzYYNG7CxsfnOV/Df\ntZ8C+OD7avJ9DhH+U4oJX6Lk/jH7FK3iY6Cbb9+6VvmfgG/69OksW7oUsRiKWMKbJPD0FLF3bxHq\n1kkkLV3ApUvlcHMzJjIyF7daz7h6rSdHj0azfu0d3iRJqVzZgmvXfDTlvcLCUqhb9wihoX5UrFhC\n09bMmQFs3XKd6CfbMDIq6Mv58/do3342d+7so0oVbfDp1mUyYWFPuBd6ArFYu/9z565h6dItRESc\np1Qp7RdeKpVS3sETb+/GbNqyRDPOjx8/4/btMI4fP8eJE+eRyWRYWVpQoWJl2rZrx8CBAyleXM2/\n69WrF8ePH+fYsUN4eRWsW6pUKmJjX3L69FkmTfoNsdiQ7GwJdnZ2tG7dhgkTJlC2bFlA7XF5enpg\nbm7KqVPHsLW1JSEhgcDAcxw+fJgLF4IQi8Ua7+DUqWN4euqGqzIyMvD3P8Lo0eORy+XUrl2LY8f2\nFFpFIzMzk359h3Py1BnMzUy5d/84dnbaWoBZWdlM/W0RW7f/Tb9+XalVqybjxk5n2NAWzF/Yj7dv\ns2jSxI+8PDl3767G1LQg2rBxwynGT9jAkiVDGT68PenpWSxaeICFiw5gYCBg0KDKzJ1bC7FYHw+P\nY5gaQ/DVxshkSrwaBZGTl8edO45s25bEuLEx3LhpxKRJuQQFKcnKUiEWq9eVjY0seBHzUuf6vpf9\nG8AHunzBfO/ww1Dpl2jvfWjt27fn9OnTP3xd9N+2nwb48sMP34OD95+I8J/LCfwcJfdP2cdoFZ9D\nPodvB77CJhHqChwHGDigPwYiQKXmuQn0BMyda8bvfhkoVAJmzy7BpElqIKhS5TFpaULy8qRYWwuZ\nNq04Y8a85ujRVjRtWpAFWaXKflp7u7BseUGG2evX6VSsMJOjx36naVOXdyD0ilu3HjF61FqcnCrS\ntFmd9z4EKh4+fMapU8HMnTsRL686VK5cDktLddj6woXrtGs3hMDAXTRoUEfnmut7dkAmV3Dl6hGd\npB6lUkk5B08aNHBnw8Y/uX79Luf/ucrJUxeJinqKhYU5MpkcqVRGSMgVqlWrqnP+1NRUqlVzoWHD\nuuzbt5H4+NecPHmOgwePcO3abaytrShfviJ3796jXbvWbN26odCPklQqpVIlJ0BBUtJbbG1tmD9/\nLp07+2jtl5GRgWM1Z6o7lWfJsilMmriQoOA79OrVhTVrlmglf23duovRo33ZuNGX8+dC8P/7EouX\nTGPo0B58aCEhYbRuPYjMzCw2bhxO375N3ntucunQ/k8ePozlVsgq7OwK1gUDA2/TpctcnBztiXjw\nAtuSxqzf0IhN6yO4di2ex0+7IhLpk5SUQ82ah2nWrCg7d7rz9q0U55rnqVdPzN59FRk96gV//51M\neIQJHh7ZSDKVvM2AvDzQ14eKFZ24du2aTr+/h+Vni39ttvXn2ufSMwoDw89VZvf29iY4OPiHC+r+\n2/bTAd/34OAVRoT/EuL3x87xpfbhtXxpH74lSQd0PU6ZTMbdu3dp3LgRKhUYi8GtGjx4DoZGAtLT\nVLi7QPQLfZ49q4K+PrRpE0NQUBbVqoqZM9eGli1N6do1ljevjQgK7qRpa8eOKMaOvUFs7HzMzY1I\nTMxgx47rzJ9/GoVCiZmJIVnZeWRLpIhEeshkCooUMaFShWIgFCAUCNATqlP4Q+7E4eBQjOzsPN6+\nzSYzMxc9oQBDsQEgQCw2pEYNR5ydHalf3x0vL08sLMwZPXoGhw6eJDziH4oVK6ozHq28exMXl8Dt\nOwE6XrBEkkObNgOIinqKWCwiMTGVcuUc6NatK+PGjcLU1JS0tDQcHZ3x9HRj//4tOvcuOzub7dv3\n4+s7C6VSRfHixRg3bgxjx47U+jAplUrq1WtMenoK16//jUqlYu3a3SxevBkTIyMm+U5kzJiRZGRk\n4OTogrNzJY4cXaP5UF+9epdhw34n/lUi02dMZsKEkaxZswlf35kcPPgHbdqouZHHjgXTt+9cXFyq\nERi4TQuA/1q2Fb+Zf1GrVhkiH8YTcnspZcsWVJyRyxUMGbyao8du8c/5hbi6qsOiN25E4uMzh/T0\nLNq3L8u+fWp9Q6lUQdPGh8nKyuPOfTWN4tGjNNzdjzJtWiWmTKnMkydZ1Kp1genTbZg4sSRNmkSR\nmSHh8BFjnJ0zGdYHNu2G1DTQ04O2bTuwa9euL37uP2X/vwFfYVZYibZ871BPT4+DBw+iUqk4fPgw\np06d+uw2AgMDNVVbBg8eXGiNzjFjxnD69GmMjY3Zvn07Li4uhZzpx9pPA3z5MiW5ubnI5fJvzoTK\nJ8IDmkLWX8oJ/NYi0/lrdMbGxl9MPoevS9J53/KBz8DAgJycHN68eUP16k6oVGBiBB2bgEwGAUFQ\nygb8N0MjHyF795bB1FRAr+4xpGXC/Pk2jB6tJjrHxUmpXDmaa9d8qFlT/ZtSqaS49U6qVLNFmifl\n+YtE0tOlWFmJyMhQsHp1M8qUMaN0aXPs7EyRyZSUttvAuX9GUreuvVafR4w4SFDQC8LDF2hNWjIz\nc+n8ywrS0nMYObIVERGx3L/7nKhHr3j9Jg1DkQEIBFSqVIH+/bvQs2dHrK0LwoELFqxm4cJ1hIcH\n6oT/AI4f/4fu3cdw69Y+HB0rEB0dw+HD/7B793Gio2MpXbokb94k06RJffz9txd6/yQSCQ4OtejW\nrSXz5k1g166jLFq0hfT0LFq18mbZsoXY2NjQvHlrnj6N5tatw1p9zMvLY9euo8yevQqJJBepVEaj\nRm4cObJa5yOtUqk4dCiQMWPmIZWqs0pPnFhIs2baFWji45Pp1m0mkZGx+PuvplGjOsyYsYxVq3Zw\n+vR4PDzKM2rULvbuvcGlS/Nwdi6n1cbcPw6waPFRduycxLUrD1i34RRDh1alc+cKNG9+lA0bvOjd\nW51YkZ6eh1ut/VSpbM7xk60ACApKoFWrQHbvrkWnTqW4fDmJ1q2vcehQOTw9zahRI4JGjZQMGmRI\nmzbZzPsNps2HnFw1DWT6jBnfvSrJj66fmW8/gpeYD4B79uzh0qVLXL58maysLMqVK0fNmjUZdjWa\n8QAAIABJREFUMWKEJsHpQ/scEdpTp06xevVqTp06xc2bNxk7diw3btz4bv3/XPvpgO9bvZx8S01N\nxdjYmNzc3C8mfufbtxaZzs3NVeufvass/6V9+B7Alz+uALa2JTWgN7wrOJaHkfOhc1tYvxB6joCE\nt0YUsRQSFJRN1UqQkKjPi5iqGBioQahRw6fYlCjBgUMtiY/PYsaMW/gfikYqA1cXC1p6F6dx46LU\nrl2EOu7BNGtRiWXLvLT61aH9YXJy9Dl7boTW72lpEuzsZnH69GQaNNDOUnv+PBFHxyncvDmf6tXL\nam2TSmXY2Q3Fx6cOekIhFy9G8OTpaywsTChVypYKFcpx6tQFTp/eTqNGuuHR5ORUKlRoxNKlkxk0\n6Bed7QkJSdSr14u3bzOQSuW4ulZnwYJZ1KtXW2u/GjUaUKyYOWfPbtN4gyqViosXb7JgwUaCg+9g\nbGyEvr6Q+/dPULKkbk1PUH/c7O0b8uZNMiVLFiMgYB01ahSetefvH0jfvr4IBDBlSl/8/PoXer7l\nyw/h57eJ0qVtSUxMJihoMk5OpTV9nDMngMWLT3P06FSaNq2pdfzcuQf5448DWJobcvFyRxwd1d70\nkSNP6d37LKdPt6NhQ3XIOy4uCxeXffToUY6VK9VK7rt3RzN82BWCrzTA2bkImzc/Z8L4MO7crYZK\nBW5uD5g3T4RcDrNn5/LbCJi3AmRSkMrh77//pnnz5oVe/9fY/zLwvW8qlYo2bdrwzz//EBkZSWho\nKC4uLtSoUaPQ/T9HhHbYsGF4eXlpCPFVqlTh8uXLlChRQveEP9D+bwVuP8O+VYz2/QzRfC6Vubn5\nV4U1vqUvMplM473mc7W+tA/fok8okUg0YrhmZmaULFkSVCDSA3tbcCgFI/+EPp1hx0qIiYOT5+FB\nRA6StGxCL8OLlwIWLympAb2wsBxu3crBvpw5lSrtoly5XcQ8fw4CAf7+bly73oDff69Mo0bW3L2b\nxtPnEqZN0waauLgMzv0Ty7K/Oun0u0ePXdTzrKgDegCdO6+kW1dPHdADmDPHH2MjEatWDWLN2l95\nGLmC9PSdHDkyme7dXTlz5jxyuYzOvwzBq3E39uw5ppkMADRs2JVmzTwYONBH59wAp08Hk5KSRmTk\nTm7f3oCjow0tWvxC6dJOzJq1GKlUSrdug8nKyuTIkbVaIVCBQECTJnU5e3YrU6cOITc3h8zMLAYO\nnEJGRmah7fXv74uenopXr3bQtasnHh7dGDnyD60+Azx48ISBA6eyYcNAzpz5jeXL99G8+ThN+b98\nEwqFTJjQjc6dG/Py5SucnW01oJffx5kzO7B4cTc6dPiTffuCNNuCgx+yePFR3GpZIcmVkpUl02zr\n1Kk88+d50K7tCaKj1ZmYdnamnD/fiW3bolm1KgKA3r0rMnFCdZo2uUpiYi4DBtjTsZMtdetGkpIi\nZ/Vqe377LQ83Nz3atDFgw274pQ0YiUFsoC6Y/uBBQWHub7V/S4/vR7eTT/0yNDTE2dmZfv36fRT0\noHAR2levXn1yn/8kJfWj7KcBvvwH5Gs/9vmKCRkZGVq6eN8Sx/+avsjlcjIyMsjOztbMKr9U/fxr\n289fI01PT0elUiEWizUEeLEBiPVBTx+qlYcx89XrKPOnQUYG1G2r9gQ3LoNLJ2DnQbCw0Kd7d3VW\na2ysFK/GzxDqqfD3D2fYMCGxsTZ41BNRooQhbdpozwiHDAlj+HBnrK2112p79TpJuzaOODlphxsf\nP07k8uUnrFzVT+e6AgNDefQogUWL++hsy8rKYcWKU6zfMBQDg4IZvJGRIfXrV0UikVKkiCnp6Zs4\n5D8ap+oW+PrOxty8Go6OTXF1bUtGRibbts0t9B4lJ79l/PgFbN7si42NFVWrlmX9+okkJR1l9ux+\nHDq0nyKW5fD3D8DffyXm5oWH6GNjE1iyZDN79kwiLGw1CkUmpUvXw89vmRagbd16iCNHzhAYOBtr\nawsWLRrA5csLCAy8QLlyTbl/PxJQSz15efVi1Kjm9OlTn/r1KxMevoCUlGQqVOhGbOwbrfb/+usA\nx44Fcfp0H54+fY2X1wIdIB02zIvt239l8ODVrFhxnG3bzuPtPZspU6pw7XpbZs50wds7gJiYDM0x\nY8Y5M3BgNTw9/ElNVU+0atSw5siRNkyZEsKJEzFkZclwqmGFTK6ibNnTiERHOHw4HrlcRbNmkQwf\n9pycHBUtmmejVKpISoEXceBgD6bGYGwIHh4exMXFada5/hfsRwNfvt7m59rn9uXD8f03RXvz7acB\nvnz7GrCRyWRkZmaSnZ39Tpn721XHv7Qv+fSHzMxMRCIRFhYWPzxdOt/yk2bS09ORy9WCnyYm6qLK\nNiWKIzZ49yDpg74enLsCpiYw5zd4GA1laqnX+iKvQ49fQKGA1ZuFLF1mS3KyAm/vp1SqGEVOroLL\nl615+tSGCRPMsLYWsH59LvPnV9N6OYKDU3jxIoepU7XT8x88SCIk5A0LF7fXuYbu3XfQs6cnlSvr\nrr/9+utm/Pw6U6yY7kvevftfuLo64O2tuwCvBsWTrF8/ACMjEY0bV2XVqn68erWKu3fn0qpVFR4+\nfERq6luaNBnA4cPndM7RsuUQvLxc6NKlsdbvxsZiBg5szdWra9HTF+DqWpaGDXsycOBUjaf9vjVr\n1gcfH086dvSgQgVbzp6dw4EDv7Fz5yHKlKnPqVOXiIh4zNixs9mzZxKVKxdky7q5VeThw3X06FGf\nevW6M2TITNzcfPD0rMjcuZ01+9naFuHGjVk0b16N6tX7cPz4VQD27/+HmTM3cfJkLxo2dODWreHE\nxSVRv/48HfDr3NmN48fH8dtvOxg+fB0HDjRg6lR16HPyZEe6dStH3br+ZGVJNccsXdaA+g1scXbe\nh1Qqf3e9pRk5sjpdu57Hymo7Y8cG0batDDs7FW1bQla8gudhCkyMYPxAFXmPoLknnAiQq2kQN0Ck\nDxkSMBGrwa+mUzXNe56Tk6PJes6XIvpc+7c8vh9tGRkZX0S3KlWqFC9fFtBEXr58qSlm/rF94uLi\nKFVKuyrQv2E/DfB9jccnl8s1L4KhoSEWFhaamprfGjLNt0+dQ6FQkJ2dTUZGBvr6+lhaWmoI6N/a\nh08dnx/WzcjI0IR135chcnR0RCZXIARKW6hrSFoaQXcPMDNXZ8+16AIKJYweDDbvnLbJv4NlET22\nb0/Fwf4hIkU2ZUpB//4muLkVgPnixVmYmBjg46MNVkOHhjF6tCtFi2pnmvXpc5pePWthaWlEZOQb\nLl2K5tChe0yYcISwsHjc3By4dCmSqKh4MjLUpcEWLjyOQgHjxrXVuf4HD15y4UIEGzYUXpm+b9/V\nODuXpVWrmjrbKlUqSXDwI3r1qk14+HSaNSvNr7/OoHjxevTs6UtsbALLl+/i+fM4tmz5eHKFj880\nGjaoSEjILM6enURo6F1sbDyZOnWpBlRGjJhFXl4ea9cO1zrW27sWT55sYvz4dnTtOpLatTsybFhr\n2rfXXYc0NDRg/vx+BAUt5MiRQF6+fM26df11JngikT6bNg3ir7960b27H126zGDw4AVs396JevXs\nAShRwpQbN4aRnp6Fm9tsndDo+fORiMX6CIVKsrMLQpsCgYA1a2rj4mJFrVoHNdcnFArYv98bW1sz\n6tb15/btN3h5HWbd2nAqlFdStCjExMjZu1ePwEAhF4JhzwGwKgJH98FfW+HeA9i1XO3h9W0GZ5ZA\neCTIFZAmAUMDQAhlypTWqlubz5XLzs7WhPelUqlG5uy/af+Gx/cl6/9ubm5ER0fz4sULpFIpBw4c\noH177Ulo+/bt2blzJ6BWa7e0tPzX1/fgJ0pu+ZQm3/sml8vJeSc787EC0t+jAsx/Kvn1KfJ5/jV9\nCwk+fywKIyvn14f8mC5g69atuXDhAsYGMNAdtt2BijZwfBJUmwLmppAjgd86wx8H4GWYmsieng4l\nHUEgAE83WPI7mJmAoxc8flyC0qULwok2Jd6wZGl1evcuWBO4dCmZ1q1vcvBgB+7cecPt2wk8eZLM\nmzdZ5OZCXp66Ir9YLMTISIiJiR5JSTKsrETo6wvJzlYgkcjJzVVz+kxM9BGJ9Cha1IKSJYtStWpp\natcuT+PGjnTosBgvL0dWrhyoMz5PniRQs+ZEbt36A0dHO53twcFReHsv4unT2djYmL+7X0rOno1k\nzZpgzp17AAgZP74LCxYUDqyBgTfp3NmPqKgF2NlZae7Z6dNhjBmzh/T0HLp3b8+WLYe4enUxLi7l\nCz0PQJs2vxMUFI6BgT7+/tNp0kQXrAHu3XtK/fq+1KljQ0RECsHBvxfqJQP4+9+ie/dVVK9egnv3\nRutsT0/PxctrC1KpgLt3ZyMS6fP770dZufIM167VJTw8k0GD7nPhgjfu7gVcPolEjqfnKczNDQkK\nKkgGevYsncqVdyEQQKdO+mzapI+RkQB39xxsbVWcOqWekB04oGTwYBWRt8CuFMxdCCvWw8urEBYF\nXj3gzGI4dxtW+EMJc3ieCDK1hi0CAaSnZ2hdy6c0+N4niEskkh9aODrffjRt4ty5c4SFhTFr1qzP\nPuZTIrQAo0aNIjAwEBMTE7Zt24arq+t/OuUPsZ8O+ODjNIKPlfYqzL5HBZiPCcF+Dvkcvp0EX9gk\nIL+ep0Kh+Kgu4JQpU1i5fDliEYzyhHXXoFZ5OOULXVfChYdQwx6O+kGjKdC5K8ydBgePwoCRULwY\nHNgItd9FD5t1gWK2Ruw7UADAq1dnMW9eLi9fqrPt9u9/xfbtsdy8mUJeHpiZCalUSR8XF32cnUUs\nXZpJvXpFWbeuHIaGBeN1/34Wnp4PiItrjpWV9gRj9uxH7NwZz759nkRHZ/LoUQZhYRlERaXz7Fk6\n+vp6FC9uTs2a5fHxqUu3bp6IxepzuLn54uJSlk2bBhU6tpUqTaJ7d1f++KNNodtbtlxFbGwy8fGZ\nWFtbMn/+MLp2LchOVSqV2Np2YvJkbyZObKVzvFKpZO/eGwwbtg2xWMT168uoWLHwkFFwcATe3n7c\nvz+c06efMHXqOUaObMeiRdqAnpOTh6PjCFq0sGXt2pb4+l5i06Z7HD48nqZNnbT2zc2V4urqR6lS\nKkJDU/H2rsrOnZ350LKy8mjefDspKXn06FGXFSvOcOVKHZyc1GHlBQuesGjRE8LCOmJnV1A6Lykp\nFxeXALy87Ni1qwWBgTH06nWWMmWUREdLWbtWRN++6g9+bKwSJ6ccFi8WMHSo+t4P7K/g0iV4cl99\nvobegByu+MPCdbB4A7w4AC0mgEgBpYpAwD2QSNXSTaYmJsQnJBQ6nvn2qTqaX1Mp5UvsR2eP+vv7\nk56ezrhx4z698/+Y/TTA974m34c0AnUFfnUI41OAl2/fowLMh0KwX0I+z7+mb63+kj8JyE9c+dQY\nHDx4kMH9+iIUgpMNPE+BHCU8/QtO3ofRO2BUO5jfD87dgy6L4MFV6D0E7oaCQB/2rYO277LHk1Og\njDvcuVOcqlULZq42Nm+wszMhIz2PuFe5WBUBd1cI/Aeio22wsysYm+RkBWXKJBIaWpOKFbXvR8OG\nD6ha1YoNG6rrXEupUv8wf34N+vYtp7PN0fEULVrY4O5uxcWLSZw/n8CrVxKKFzfDysqSqKg4YmKW\nY2OjO/Y7dwYzduwuXr6ci6mpbkQgNjaVqlX/4PbtQZQpY8HatXf4888rWFqaMWfOr/Tu3YJhw5Zy\n8WIIDx7MQ1+/8Odg6tRDHDhwhTZtKrBtWxjjx/swZ452go5SqaRMmf6MGOHKtGkNAAgJeUW7dnsp\nU8aGCxf+1JQNGzVqPadP3yA6epDm3Vi37h6TJ59n2bI+DBlSUH3l11+3cP78PZ48acuzZ1nUrXua\ndu0c2bZNl66RkyPDxWU1L16kcu1afVxdCyIUKpWKwYPDOXMmkejoXzAyKviIP3mSgZvbceztzXn6\nNJ1Zs2DiRBH+/nIGDpQSHi6mbFl1P48fl9Ozp5S7d6FiRSE5OSqqV1dSpxbs2QRvEqGKG0wdBpOG\nQLOekJMFh+dCtd7wWyvYdBlevQW5Uh2er1GjBleuXCl07D9m+VJB+eXi3v97HwTf//tak0gkGBoa\nfvI78bW2detWzM3NGTBgwA85/3/TfkrgyxejFQqFWooJhYUTP2bfowJMvgSNnp7eF5PP4T+HKj/X\nUlNTMTQ0/KwxCA8Pp15td4SADDATgVQFUzuASglzj0L7unBomnr/Cr9CsZLwMBI8qkANBzh4E57d\nhPwmOg+GDKkhZ89aI5crWbgwi5XLM0nLAI/a0NUHWrVQZ+C17CiguI0Ju3ZpJ6H06pVKUpKYs2e1\nS4AlJkqxt79HWFhjKlTQLsS9Z89Lxo59SHx8R0Qi7Q/H3bsp1K//Dy9fdqRo0QLgSk3N4+rVJPr1\nu45SCQqFisqVSzFokBe//tpYUyy4VKnRzJrVmqFDCyf6Nmr0F3Z2RuzZ01HzW06OjI0b7/HHH0GI\nxUYkJ6cTHDyd2rV1QRnUQrx2duP4++8ONG9uT1DQS7p1O06RIkUIDJxDmTLq0OHw4Wu5cOEWEREj\nMDAouM7UVAndu//N/ftvOH78dzIzc+nYcS6hof0pX14bzE+dekq3bkcZNqw5ixf3YP/+6wwZsoWI\niNaUKaPOMn38OAMPj9P88ksNNm7sqHX82bPR+PjswdZWSOnS5pw//6GShZLmzW+SkiLn/v32mucv\nOTmXRo1O8+xZOlu2GNCzZ8HEaNgwOWfPynnyRKTZf9w4OUeOyHn+XA0yUVEq3NyUbF8LnTvCPxeh\nQ0+4+TeUKAZVmsKkrlCrMvjMgL1DoOd6qFIEIlNAIod+/fqxatWqQu9BYZYPfB8WyCisUopCodAK\nleZ7iZ9bVPpHA9/y5cupXr06HTt2/PTO/2P20wDf+/y79PR09PT0kMlknwwnfsy+Vdkg/wWRyWQa\nwPuaWP3XVn/J9zAlEolmDP7TCxQTE0PlypUxEqi9NlRgrg8qQ2hUBY7cAj0DCF8DFWxhz0UYtAKM\nRLB5LPxSD0r2hQUzoV9X9TklEihRU8CGDZbs3i3hSlAeNtaQmgHjxwiYPrng0ZRIoLiDgKtXi1Gz\nZsE4yeVKihVL4vDhynh5aQNily6PyM424NQpbSI4QKVKFxk8uAK+vrr1MuvV+4caNSxZt85NZ9v1\n60k0a3aBV69aER+fy8GD8ezcGUNiYh5VqpTC2tqcyMhXPH06q1BP7cGDBNzdF/Dw4XDs7XXXZnNz\n5Tg5reP58zSqVrUhIGAC5crpEtHbtl1GXl4G58510fyWlSVl3LhLHDgQiZ9fT9q3r0utWqO5dGkA\n7u66YVClUsmiRdeYM+cSIMTPry5Tpnjq7Adw9+5rmjffj4tLOa5fj2bjxtr06qUNylFR6Xh6nqZ7\ndxfWrlUnNTx6lIS7+1r+/NOazp0tqFkzms6d7VizRpsPlpkpx80tiAoVLDl5sjlPnmTg5RWIg30e\nHTvJmTdPwPPnYszN1e9pXp4KF5c8HB2FHDqkDj/LZCrc3PIoW1ZFQID6fdi5U8Xo0Uoe3VYnV/3m\nBzv3q9f7gkOg7SC4vgZ2BMK+s/DnLzBmD5Q1hUepau9v+YoVn+315MuPfc534f1Q6fvh0s8VpM3O\nzv6qb9fn2uzZs2nTpg1eXl6f3vl/zH6arE4o4KHlP2Dvp+V/qX0r+TwjI0MDel9DPv/afrxPTcgX\nSP0U6EkkEqpWroyxEHJVgAq6lIUcFaCEKxFQqSj4eKpB72AwDF0NzV3g6RY16O25CFIF9Hhv8thh\nACjkKgYNfIsFcs5tgOMrITsHhg7Qvqaps6BaNZEW6AHMn59FsWIGNG6snX0mlSo5ezad6dMr6FzP\n1aspvHqVw9ChuskgcXES7t1Lwde38EomY8feY/DgclhaiqhWzZxZs6rw7FlLbt/2om1bY4KDH5Ce\nnkHPntt5/TpD5/j+/XfSr59zoaAH8Pz5W+LjMwkNbUndukZUrz6VwYO3aNECHjx4xYULD1m9uqnW\nsaamIjZvbsHff3dg8eID1K49lj59nAsFPVATz6dMqU/r1pVQKOS8fFk44R3A1dWGkJB+XLr0EDMz\noQ7oAVSpYsGVK97s23ePsWNP8PZtDs2abcPHx4xRo6yxsTHg3DkHduyIZcOGF1rHmpnpc/68B7du\nJdK58wXc3Y/TqJGEoCA548eBh4cAL6+CDFBDQwHHj4sIDJSxc6f6dwMDAceOibh0Scnmzerx6ttX\nQLt2ejRqI+RBJDSopy5XVsMb4hLAwxWaToRZA6B4UTgYAu1dIE0K5iJQAWPHjuXmzZsfHZuvtXxv\nL5+La2RkhImJCSYmJhqNvfezSrOzs//VrNIvpTP8L9lPA3xKpZK0tDQUCoUmoeRbQgTfSj4Xi8Wa\n2dq/VeUhH3DfpyYIhcL/eB0KhYJiVlYYCqG4Phjrw4AKkKOAPDmUEIN/e3iWAfP6Qr+l0HMhoII9\nk8HqXWW4mXthymgQieDUP1DOTcCNEJjQB+LOwb6FCurUgHGLwae9HtbW2v3Y76/H1Km6s+iNG/OY\nPr2Uzhj6+cVib2+Cp6fuGty4cZEMGVIRCwvdbNoRI0Lw9i6Fg4MuUTwmJouIiLdMmqQLmFWqmGFm\npkexYiICAqohkcTi4DCd2rUXcOnSYwCuXn3Kw4cJzJrV4GPDzaBBJ+jd2x4nJws2b3bn8mUvrl29\nj23JkRw7dheAHj3WMWhQTSpXLjzE3aKFPfv3t0MuV+DvH0ZY2OuPthca+ppTpx5z+HAV9u8Pp0eP\nox/d9+DBRxQvLsbAQE7HjhcL3adaNUuCg1uyY8cdqlZdjo2Nku3bC4C3Rg0jDh4sw8SJEQQFJWsd\na2dnxIIFVTlx4iWNG0nZvUv9XAoEsHuXkoQEOZMm5Wn2L19eyLZthowaJSMmRg109vZCdu0yZPx4\nuHpVybp1SqIfw9NnStwaw4ixQkoVEfA8FibOhqgoyM0D67Zq7+5MBFSzBUNDqGwN+UuOzZs316lC\nUph9D4pBvmqCSCRCLBZjbKwWPhaLxejp6WneZVBPSr+Fc/ifLD09/ZuEsv9/tp8G+PT09LCwsNCs\n7X3rw/Gt5PP8Gd2/0Y/3+YhGRkZf5GGamphgIIAyIkhSwMCK0KscnHwFTcrAjR4w7hK0cYcW0yD4\nDthZwLDWYP5u+fNSGLxJg1o1wamhkG6/QhkzFWam8MdIKPpuUpmbC1fuwcQxCq0+7Nij/rd9e+0M\n2mPHcsjKUtK9+wcoCWzfnoKfX0Wdj9Dz59lERKQzcWJlnWMkEjkXL75hxoxqhY7F8OG3advWltKl\nC1/XXbHiGdOnl6ZhQ0tOnKhGVJQbDRpAu3arcXCYRpcumxk1yp0SJQqvvvLwYRL37yfg51cQfnVz\nsyI8oiUz/KrQq9daqlTx5fnz1/zxR+EhSVB/fP38rtKpkyUjR5agXr2N7N8fXuh+gwcH0LFjEVq3\nLkpIiDOXLz+lVasDOvtGR6cyZ04w+/cX5+pVB65fT2DAgKuFtu/kVIS+fcuTmZlDnz6619q6tTlz\n59rQvv0tYmMlmt/v3Utn/PgHtG6m5MIFAfHxBcdYWkLAMVi3Ts6lSwW8wM6d9enZU4SXl1TjFZcu\nLcDYGJp4qVi+QEBDOwUnZoBQBYdHKnnwp4qNg0EmFxDhC+G+YKAHRaVgXwT+OKp+dm/FQ6tyYGwA\n+kDVqlXJzPy4V/wjLR8M8yft+dnkH3IOc3NzdTiHXwuG/5c9vp9mjQ++rybf56iwfypbVCqVkpub\n+9VFokE9KzMxMSk0IeZ9esbH+IgZGRkfXV8Ui8XoASZ6ao5TcRP4uwk0PAlN7OFYR4hIhlq71eXK\n2lQQ4Ouhov4udYiz5DuHpMZoAbGJKmRSGNVSyJR2SurMFjKsh4oJfQsev9/+gjO3hdy/rl3to4qr\nHgMHmeLrW/ARVSpVVKuWjIuLOX36FCMlRUZKipzkZDlXr2Zy6VI6/fuXxdJSHxMTPYyNhRgZ6bFx\nYwxmZobs3FmXcuVMtRJbhg27RVhYOteu6RYszsiQYmt7lKtXG1Kzpu7H4PjxBPr0CeH167qIxdrz\nyexsBdOnv2DlyleUKCFm4cIW9O2ry6Pz9NyGk5MhGzfW0tkG8Pp1DtWqnUImU7FtWxs6dy48HHv2\n7Au6dj1GQoILRkZ6HDyYzIABTxg50oNFi1po9tu7N4wxY04SH++GSKTuc3x8HvXrh1GypBXBwb01\nkzMPj13Y2GRy9Kias/j4cR51676gX79K/PWXtmKDeh30HHPmyJk5E86cKU+9etreukqlYujQBE6e\nzOLp0ybExORSt24wg/vIWPwH9B8h5GoIPIpS8v5KxPIVAubOhWfPdNf7bG1BJBISFCSjlSvcfQLN\na8L6d7XKZ+4VsvUcxC5Xcz07/CUkKRWuT1Cy7QaM/xteDIHxF+DQI1AAKpU62eVRKghU6gzm5OTk\nj1ZN+hapoC+xjyXR5G/7cN3wa9TZW7duzcWLF394se3/hv2UwPc9MjL/E3n8c8jn8O3qCFA4cOUv\nsH8OPeNjJHoTY2OESiUC1LNd9GCmM/xxF1R6EDkAyppDqQ2QlgcrWggYVFNFk30CypYXsH28Erkc\nui+Ck7egZz0hczorsS0C91+A5x8Qfx4s37t02+ZCli5Q0qMgX4OwCKjdCAICihIToyAkRMHNm3lE\nRUkx0BdgYqqPkaEAIzEYixWYmSi4/xCcqkKpkpAtAUkO5OUJyMkTEvVIgbW1IZlZSrKy5FhZGVKu\nnBmOjhb4+8fg5+fE2LGV0dfXvl+DBt3g8eNMgoMLD1M6OZ3nl18smT1bt8g1QN2696lVS0iNGgZM\nnZpC0aJmbNjQjiZN1MrwDx4k4e6+icePW2FnV/hzefBgLEOHhrB4sTXjxiXRqVNlduxo/YEWnwpH\nx220aiVi2bIC1fk7d7Jo2TISV9fSBAb2QSKRUbbsX8ybV4phw2y12klJkdGoUTh6ekbman1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KAJt2/fJmdO95B7AKGhJt1Vjhw5aNu27X/UuOWpAr4USgGbvws4TzIZ7R+NoZRKTURrsVhcEtH+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\ndoUQn0AgEAjaFUJ8AoFAIGhX/H+XjPpUDlqntAAAAABJRU5ErkJggg==\n" } ], "prompt_number": 105 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Another simple tutorial for graphing with ipython: http://nbviewer.ipython.org/github/swcarpentry/notebooks/blob/master/matplotlib.ipynb\n", "\n", "Comprehensive tutorial: http://scipy-lectures.github.io/intro/matplotlib/matplotlib.html\n", "\n", "The Matplotlib gallery is a great place to find ideas: http://matplotlib.org/gallery.html" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "By Andr\u00e9s Cabrera mantaraya36@gmail.com\n", "\n", "For course MAT 240E at UCSB\n", "\n", "This ipython notebook is licensed under the CC-BY-NC-SA license: http://creativecommons.org/licenses/by-nc-sa/4.0/\n", "\n", "![http://i.creativecommons.org/l/by-nc-sa/3.0/88x31.png](http://i.creativecommons.org/l/by-nc-sa/3.0/88x31.png)" ] } ], "metadata": {} } ] }