{ "metadata": { "name": "", "signature": "sha256:0934d62e12c5c3ef3ee995caa90d8aff602063544df6faea0dc628036ed7ba51" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Set The Color Of A Matplotlib Plot\n", "\n", "- **Author:** [Chris Albon](http://www.chrisalbon.com/), [@ChrisAlbon](https://twitter.com/chrisalbon)\n", "- **Date:** -\n", "- **Repo:** [Python 3 code snippets for data science](https://github.com/chrisalbon/code_py)\n", "- **Note:**" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Import numpy and matplotlib.pyplot" ] }, { "cell_type": "code", "collapsed": false, "input": [ "%matplotlib inline\n", "import numpy as np\n", "import matplotlib.pyplot as plt" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 2 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Create some simulated data." ] }, { "cell_type": "code", "collapsed": false, "input": [ "n = 100\n", "r = 2 * np.random.rand(n)\n", "theta = 2 * np.pi * np.random.rand(n)\n", "area = 200 * r**2 * np.random.rand(n)\n", "colors = theta" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 3 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Create a scatterplot using the a colormap.\n", "Full list of colormaps: http://wiki.scipy.org/Cookbook/Matplotlib/Show_colormaps" ] }, { "cell_type": "code", "collapsed": false, "input": [ "c = plt.scatter(theta, r, c=colors, s=area, cmap=plt.cm.RdYlGn)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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4B2lw9Ohpbt66S4sWLYDMPe3z5//K8eOnWb/2KlUrjeO3+fu5dPExkZHxpKam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\nDB81mDl7OmJhq9gPmdeOJ3x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3N2Bx3fIMOvqIpS0rg0TC04hEtj4Nw9TKGu9LV3BzU3zX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\n96nTNTMyMsjsOTOJqroK4RjrEFV1JdK7Ty/y7NmzBoubadnZ2eT169c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"text": [ "" ] } ], "prompt_number": 6 }, { "cell_type": "code", "collapsed": false, "input": [ "c1 = plt.scatter(theta, r, c=colors, s=area, cmap=plt.cm.Blues)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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IjUxIViQSGfSM8Of3CLh0CFMDPbZvXIuPT+YROVs2rKNG7Xq82beAgi2GprtW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\nleSUVFJTkti1Y0eJtFL+hxAC9+YtEZXr4TZwIgnPH3N6/kScalXnfkQ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"text": [ "" ] } ], "prompt_number": 7 }, { "cell_type": "code", "collapsed": false, "input": [ "c2 = plt.scatter(theta, r, c=colors, s=area, cmap=plt.cm.BrBG)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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JiooiLS2N2JhYrl65wuply2nqVpdfZs9mw/r1eHp65irw/+C1cRNRz1+w/vsf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\ne4f01FR0TYxBIiE1Ng5dPT2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06Oyv1FZWVuzZs5devXri3rQRHTu0QhAEvI+c5NyFy/z5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\n", "text": [ "" ] } ], "prompt_number": 8 }, { "cell_type": "code", "collapsed": false, "input": [ "c3 = plt.scatter(theta, r, c=colors, s=area, cmap=plt.cm.Greens)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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DJO3y+Kg2mbFpRF8Iyfa61ErOy+ii3wj/jbe3NynhcXl+JoJaS+LOB0gcTZHaFD0HkEQi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"text": [ "" ] } ], "prompt_number": 9 }, { "cell_type": "code", "collapsed": false, "input": [ "c4 = plt.scatter(theta, r, c=colors, s=area, cmap=plt.cm.RdGy)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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CtrY2rVs6cOnRCzroFy2E8gNnUxPo1SfvDIqllTJl9IhPTFZaf/FJyZQto/jN\nTiKRYG9vn2st1/xo1qwZfn5+3Lp1i+3bt7Nw4UIePnxIcnIyWlpa1K1bF1tbWzw9PXFyclL4CatM\nmTKcPXuWHj16MHjwYObOnVuodBV37txh9uzZODg4sHHjRtTV1cnIyGDfvn2cOXOG2Nj3OYBSU1N5\n+fIl1aoV7ikqIyND4ZvD2LFjiYmJYc2aNXzzzTcKiVx6ejrnzp0jMDCQzp07KxztUqtWLXbv3l3k\n3cMSiYQmTZrg7++v9PQSUqkUW1vbj/qULYp8KWL8Tz/y4/fudKDoIp8ul3MqOY5r48cr0bKPQ4NG\n1twNDMLRpmjVlv7L3cAQGja2UUpfitCkSROlZnSE96mIT58+zerVq3F3d6d9+/b06dOHOnVyX7sQ\nBIHbt2+zZ88ebt26xZo1a+jZsyexsbEsX76cDRs2YGpqir29PTVr1iQjI4Pu3bvz66+/UrlyZTp3\n7pxvYe0PZGRk8OLFC2rVUjzU9ddff6VRo0YMHz4cMzMzrK2tqVSpUo6xpFIp9+7dw9fXlwoVKuDq\n6lqoxF4aGhqYmJhw+/ZtnJ2dFT7v34wfPz4rXbUyUVFRYfxH/m2KWShLETKZjBpVqjBJrSz1tIuW\nwOlswjtu1qjM+WtXlWxdybN161b2bVnPgSXTlNKf3eCpLFm5hrZt2yqlv09NVFQUGzZsYN26daip\nqVG/fn2qV6+Ouro6aWlpvHjxgocPH1K2bFnGjBnDoEGD0NfXJzg4mA4dOlCrVi169+6d69NAZmYm\nV69eZfPmzVhaWjJs2LB8QwgvXLhAQEAA58+fV9j++Ph4tm7dyrZt2wgPD89KymZkZETZsmWRyWS8\nffuWd+/eYWZmhqWlZZGjl/z8/Pj++++ZPHlykc6XyWSYmpoik8mUtuv1QyqHqKioQtfrzQtFdFMU\n+VKG19atzBw/gaXlq2KgVrgvQmh6GtPfhnHQ53ihF9JKA4mJiVQzq4r/tmVUqWBUrL5uPQpkwOyV\nPA8KLpF450+JXC7n2bNn+Pv7ExgYiFQqRUdHh/r162Nra0u1atWyZsevXr2iefPmuLq60qNHjwL7\nTkpKYubMmVSpUoURI0bkOqPPyMhg5syZLFy4UOHyhL6+vnTp0oVq1aphZWWFrq4uUVFRXLx4ES0t\nLWrXro2Kigr6+vqUL18+a0duUbl16xbffPMN8/PZEFcQR48epX///ujp6RU7f41cLic5ORkvLy+l\n1goQUw04u8Q6AAAgAElEQVR/hri5u/PsyRNmea5jjqEpRmqK+SGDpanMfRfB0lUen6XAw3sf9JAh\nQ5m9biebZo8rcj9yuZyZnv8wYdLkL07g4f0jf926damrQM4cd3d32rRpo5DAA+jp6bFgwQLGjh3L\n9evXszYefSAzM5M1a9ZQs2ZNundXbNNaWFgYnTt3pnPnztlsrlKlChKJhHv37il0LYVBEIRi71jt\n0qULXbp04cSJE0VONfzBFqlUSocOHUqkGExBiNE1pZD5Cxcy+MfJTIkO5Uj8W5LziayIy8xgd/wb\nZsaE8+dfngwaPPgjWqp85sydy7UHgRw8f73IfXju9SFZJmHs2LFKtOzz48Nsf8CAAYU6T09Pj8GD\nB2cr+i0IAnfv3mXevHloaGiwZ88ehW+gq1atwtLSMlchNzIyKlLETUGkpqZiYWFR7H4+uK9SU1OL\nFG3zoWhInTp1PlnSQHEmXwqRSCTMmDULh1atWL5oEYPPX6B1mXLYqmlRRlUNOQLxskyuZ6bhlxTH\ntz16cH7aNBo2bPipTS82enp67Ny9hy4u31BGR5t2za0Ldf7OExdZvP0Qly5fKfYj/+fO2rVr6dSp\nU5FmtC1btmT58uWsWrUKLS0t7t+/j5aWFuPHj2fEiBFZn21oaCienp4cO3aM+Ph4dHR0sLe3Z9y4\ncVkVm7Zu3Ur//v1zHadSpUq8e/cOmUymtKcuQRB48+aNUhbBtbS0OHPmDIMGDeLYsWNoamoq7KOX\nSqWkp6fTvn17tm/frvSqUIoi+uQ/AyIiIljn6cm1CxeIi41FVVWVcuUMad+1C0OGDs3KIvglceXK\nFXr2cGVo93bMHNIbjQIWqpJSUpmy/G/2n7mKipoaS/9cxtChQz+StaUTY2NjVqxYUeTCGuvXrycq\nKooePXrQuHFjHBwcslwWycnJDB06FB8fH+zs7GjcuDF6enpIpVIePnzI1atXqVGjBrt378bCwoJf\nfvklz5vuhg0bsLCwoGbNmkW+1n/z6tUrbt++TUhIiFJywX/gyJEjDB06lMzMTARBQFNTM8eNSSaT\nIZVKUVFRQSKRsHHjxhJ10XyUhdchQ4Zw7NgxTExMcs0RfeHCBbp3706NGjUA6NmzJ7NmzSqSsSJf\nF1FRUYwaMYKA27cY7tqeb51bYFGlYtYPVyaT8TgknB3HL+B17BydWtmxbPo4It/E0GXkNNb8tT4r\nGdfXRmZmJlpaWpw6darIQnf8+HGioqLYtm1btuPJyck4OTmho6ND3759c53ZymQyzp49y+XLl0lP\nT8fd3R0jo9wX0+/fv5+1H0AZ8eOXLl1i2LBhRY6syY/MzEyOHj3KypUruXXrVpbYw/+iZ2xtbZkw\nYQJdu3ZVWhRNXnwUkb98+TJ6enq4ubnlKfLLli3D29u72MaKfJ34+/uzds1qzpw+TXxCAlUqGCOX\nC4RFvUYigQFd2jPOrRd1a/xvM8+BUxdYues4V64V3bf/OZOWlkbZsmXzTdBWEKdPnyYwMJA9e/Zk\nOz5w4EBCQ0Nxc3MrUJTPnz/P6dOnqVevHh07dsy1TUZGBr///jv29vZ5xv8rSlhYGLdv3+bp06eU\nLeFd34IgEBYWRnR0NIIgYGxsjJmZ2Ufd6PRRomscHR0JCQnJt40o3oVDEAS8vb3xWPIHT54+pZyB\nAe4jhjNy1KhsVXa+Fmxtbfl702YA3r59y6tXr5BIJNy8eZNDO7eyZs6UHOd0beNAv0lzkMvlSn1k\n/1zQ0tJCRUWFlJSUIu/ajI+Px9Awe4WyiIgIjh49yoIFCxQSs9atW+Pr68vt27dzdckIgsDZs2ep\nW7cut2/fxsTEpMjux+TkZHx9fdm5c2eJCzz8L9Xxx0xRUBRK/NsvkUi4du0ajRo1wsXFhUePHpX0\nkJ81giAwZfx4JroNovGjl8xTMeT7OBlHfl9KyyZNiYuLK7GxZTIZiYmJJZKzQ1kYGRlhZWWFpaUl\nxsbGxMYn5touNiERLS3Nzy5JmzJxdHTk8uXLRT7/+vXrOXaM/vXXXzRt2lThRUSJRIKjoyOWlpYc\nOnSIw4cPExQUxOvXr7l79y5btmwhKSmJs2fPsmrVKk6dOqVQPpz/kpiYyMmTJ5k8eXJWbiGR95R4\n+IGNjQ1hYWHo6Ojg4+ODq6srz549y7XtnDlzsv7dunXrHHm2SwtJSUnMmzOXmOhofp41s1Bbuwvi\n0qVL7Nm6jaU6puj9f4WoCmhQX9DB8000M6ZOZe369UobLyEhAS8vLzxXruBpUDCa6upIMzKws7Vh\n3JQf6dGjR4lUyFEGzs7ODHJ342FgMJa1su/i9Nx5iD69eucp8oIgZCto/SUybtw4Zs6cmaebJD+C\ng4OJiIjIEV9/4sQJnJycCtVXkyZN2LFjBxEREWzevJmdO3eSmJhI9erVWbRoEd26dUNdXR03NzfU\n1dUZOXJk1o28oKcwQRB49uwZt2/fZs6cOSVa3Ls0cOHCBYWrcn1AKdE1ISEhdO3aVaHivObm5vj7\n++d4DPycfPID+/bD//ApymZAhJEGYVGRSnMJ9OvxLfrn/eiqk7OQd7QsnYlJ4bx5904pW603b9rE\n5IkTaFHZhL4WpjStZISKREK6TM65l1HsDooiJCmVXfv206pVq2KPVxJs3ryZX2fNZOnUUXRt05K4\nxCQ8dx7i7wM+XLl6LccWfrlczsyZM/Hw8CAzMxOXbzqxZasX+vrFr8hV2pDJZFSvXp2pU6fSoEGD\nQp27ZMkSmjRpwrx587Idr1OnDv3796dKlcLV3x01ahRJSUkKfW+DgoJwd3fn8ePH1KpVCzMzM/T1\n9bN+Y4IgkJCQQHh4OM+fP8fIyIh//vnniwghLiylYsfr69evMTExQSKRcOPGDQRByCHwnxsP7t2n\ntlSdimhy910Uqamp6OoWLdfMfwl6/pyearn/EIxVNVBDwrt376hUqVKxxlm5fDnLFsznn47NsSiX\n3X+poapCpxqV6VSjMlfD39Czaxe279lbpBlhSTN48GAqVKjAooUL6D95DtraWvTu1TtXgYf3uc3P\nnTrBc98z6Jcpw9gZ8xgyeBD7Dxz8BNaXLKqqqqxevZoRI0awfPlyhfPAHDx4kMDAwFw37+jq6ha6\nkMmHwiKKPBE+ffqU1atXExsbi4aGBoGBgTx+/BipVIqBgQESiYSEhAT09PRwcHDgt99+o1WrVl+1\nW64gii3y/fv35+LFi7x9+5aqVasyd+7crD/qDz/8wL59+/D09ERNTQ0dHR127dpVbKM/NZN/nsr4\nUaPRUEmjT9feShN4ANMqVQgPu4ulRs4+42SZSGWyIqVP/Tfnzp1j8fy5/NPJDlO9/BflWlYxYaWT\nNQP79sH/7r1Cp6P9GLi4uODi4oJcLkcikeT7gz96xJt5U8dT0cQYAI/fZmFUv9kXu0DbvXt3oqKi\nmDRpErNmzcp3Rp+ens7OnTs5d+4c58+fz3Uy5uDgwIMHDwoV037v3r0C0+vGxsYyYMAArl+/Tr16\n9bCyskJDQ4PU1FSCgoJ4+vQpzZs3Z/bs2VSpUkUpRTcyMzOz8v58yTcJcTNUEQkODiYuLg5ra2ul\nfkGOHTvG+IHfs0S7EpqS7KLjlfIWrW9a47VzZ7HG6NimNW2ERHrUVlywF918jEm7ziz+o+jFGEoD\nLt904rvuHenf430907CIKBq06UxcXPxn8UPPyMjgzZs3xMXFoaOjg7GxMXp6BdfEPXz4MGPHjsXA\nwIAuXbrQqlUrtLW1kcvlREVF4ePjw4kTJ7CxscHLy4uKFSvm2s/Tp0+xt7dnwYIFCseAe3h4MGPG\nDPr165fr+3Fxcdjb26Onp4ednV2um6akUikXLlygYsWKnDx5ssjx50+ePMHDw4MdO3aQmJiIqqoq\ncrmcunXrMmXKFPr27ZtrNJIgCNy/f583b96gqalJ7dq1qVChQpFsUCZiFsrPELlcznd9+vLgzHn6\nqpahvoYO0bIMjqUncEdbhev+t4qcfhXgxYsXNLdpzLmebdBUy7no+PRdPIeehfIqORUJULmMDt/W\nfp/V8LtTNwiLevXJtmcrg5MnT+Lu9j1Lf51GOX19flmykq6u3zJ37txPbVq+BAUF4enpyebNm1FT\nU6NMmTKkpaXx7t072rdvz9ixY3F2ds73aUQmk3H8+HE8PDy4fPkycrkcuVyOgYEBAwcOZMyYMdSu\nXbtAW9q3b4+2tjbdunUrsG1AQAAHDx4kJCQkT3dNjx49CAsLy7ajNjfkcjknTpyge/fuLFmypMCx\n/01gYCCDBg3i3r17GBkZYWRkhKbm++gruVxOXFwc8fHxJCQkMGHCBObOnYuKigqJiYls2rSJP//8\nk4SEBDQ1NREEgaSkJJydnZk6deonXa8SRf4zRSaTsX79elYtXUpgSAgGemX4zs2Nn2fNLPbsYfHi\nxTzYsYlZzbMX5ngcE8eCa/cIS0yhV31zapXXRxAEHkfHsf9xMHUM9UlEhSUbN9OpU6di2fCpOXXq\nFKtWriQtLY3uPXowZsyYUjuLj4mJYfDgwVy9epUePXrQt2/fbC6zpKQkjh49ys6dO8nMzGTDhg0K\nR6Wlpqairq5e6Bw/r1+/plmzZtja2vLNN9/k+dndvn2bXbt2cerUqTzzyISGhmJpaYmbm5tCPvv4\n+HgOHDhAVFQU2traCtnr5+dHp06dMDIywsTEJN8bYVpaGmFhYTRp0oTly5fToUOHrAVjLS2trGuV\ny+UkJSWRmprKDz/8wJIlSz7Jd0gUeZEcTJ4wATW/cwxt+L+wT/9Xbxl3+gY/tWyIa93qqKtm/xFI\nM2XsevCC5b4PmDrrF3755ZePbfZXSWhoKO3atcPJyYlx48bl+wQlCAIXL15kxowZrFmzhr59+5ao\nbVFRUXTt2pXo6GhatmxJkyZN0NPTIy0tjQcPHnD16lXi4uLw9vbG1tY2z36mT5/OmTNncHBwUHhs\nHx8ffv75Z4UqNz19+hQ7OztMTU0VDviQy+UEBQWRmJiIjo5OvpFXMpmM2NhYxo4dW6zc9UVFFHmR\nHPw4eTJcOcVw6/eP5W9S0uhx4BxLO9jhWC13P+wHjgeGMvfaQ56HvCz24q9I/sTGxtKiRQu6d+/O\nkCFDFD7vyZMnDB06lF27dpV4RSxBELh06RIeHh6cPn2apKQktLS0snK3dO/evUDfuaOjI0ZGRlSv\nXl3hce/cuYOFhQUbN24ssG2TJk1ISEgo9BOwTCYjICAAAwODAtc8MjMzef36NY8ePSrUdSgDRXTz\nywsnEMkXs+rVCU6RZv1/9+NgOtasUqDAA7jUMqO5qRFbtmwpQQtFAGbNmoW1tXWhBB6gbt26LF26\nlO+++y4ryq2kkEgkODk5sX//fhISEpDJZKSkpHD58mV69eql0OJocnJyoRdR1dXVFcpBf/fuXQID\nA4sUiaOqqoqZmRkJCQkFtlVTU0NPT481a9YUepyPgSjyXxl9+/blbEgkCdJ0MuRy9j4J4buGiofD\nuVlWZ+3KFV/kU9fZs2fp1rUrBgYGGBgY4Nq9e6FqmCqLxMREduzYwejRo4t0vr29PdWqVePQoUNK\ntix/iuKTNjQ0JCUlpVDnpKSk5JnR8t+sWLGC8uXLF9lXbmRkRHp6Ounp6QW21dbW5u+//y7SOCWN\nKPJfGRUqVKBTx04ceBbGi9hE9DTVqV1ecdeLbSUj4uNiCQsLK9S4Uqm0VN8YFi9ezNAhQ+ja0ZnA\nO74E3vHlm7atcHdzY9myZR/Vlu3bt2NnZ1esRfZ+/fqxevVqJVpVMvTu3ZugoCCF2wuCQHBwcIG1\nZeVyObt27cLY2LjItqmoqGBiYpJVcDw/1NXViY+PL/Gnp6IgivxXQGZmJpGRkQQHBxMfH8+MX39l\n4+MQ7r15h4Fm4fLSSCQSDHS0iY+PV6j9qVOnsGlohZ6eLsaG5fhl5gwyMzOLchklxs2bN/FYuZKr\np48yzP07jMqXx6h8eUYMduPq6aMs/eMP7ty589Hs2bRpE3369ClWH+3atePRo0cFZoj91AwcOJDw\n8HCF3CLwPgumhoYGbdq0ybddYmKiUuq86ujoIMun/OZ/KY1RWqLIlzIyMzOzvqDF5eXLl8yYNo3K\nJiZY16uLo60tphUqMGHUKIaNGs3S20+JTSv4UfTfCIJAQmqaQimP/fz8+L5/X6Y5N+DthpmcmeHG\n1WMHmDxhfFEvqURYs3o1E0YPx7RSznWJKpVNGTNiyEf1t4aFhRW7SpKGhgbm5uaFfuL62Ojp6TFl\nyhTOnDlToFskOTmZCxcuKJTmOCUlRSkFO1RUVBT6Laanp1OuXLlSWXJSFPlSwoMHD+jXsydldHQx\nKV8eY4NyTJ86ldjY2CL1t+6vv7C2tCT08H48G9fjZBs7vB1tWdWkAQQ9Y+vqVWioqROekMzNiDcK\n93vv9Tu0dHQVyqH955JFTOvSAhebOqioSLCoYMim4d3w8vIq8nWVBDdv3qRj27xnhh3btuHmjRsf\nzZ7k5GSFY8DzQ0dHRyFXw6dm9uzZtG3bFm9vbyIjI3OI6gcXzcGDB5k0aZJChcn19fVJS0sr9mRJ\nJpMplO4iLS2NESNGFGuskqL03Xa+Qi5duoSrS2e6qOixVt+cMiqqRGRKObp+C3Z79nL11k2FFpo+\n8JenJwtnzmCLnTVm/5+bxic8iu0vQknIyKBzNVMcqlRAJhd48C6eoYcv4VStEqOb1aeecf4FG3Y8\nCWXUuPEKffGfPnnCuL7ZdwOWL6NDFWNDwsLCSk1tWg0NDVJSUvN8PyU19aOkW05PT89aLPXy8qJP\nnz7FytGSlJT0WWTXlEgk/P3336xdu5YlS5Ygl8upXLkyGhoaSKVSQkJCMDIy4q+//qJnz54K9amt\nrZ3lTy9OAZEPidLyIzMzk6SkpCIvlJc0Ypz8JyYzMxOzipUYmqlDI82c8bheaTEYuDjjtXOHQv2F\nhITQ2MoqS+AFQeDPB8/wfRvDFOt6tPz/dML/Jikjg0NB4Wx4HMQfHZrTunruaRMuhkQx/cp9Hj59\nptBNZ2C/vlipxDG2k33WsVdxiTSbtZ6X4RElWr0nMTERX19fVFRUsLe3z7c60owZM0iOi2HF4t9y\nfX/MlGmYmJplq3eQH4IgEBAQwIsXL0hJScHAwICmTZvmm47i8uXL9OnTh1q1amFjY0NkZCQnT55k\n4MCBTJgwodC+3tTUVNq0acP9+/eLXMj7UyCXyzlz5gyXLl3Kqkzl4uJCs2bNCv0ZLFmyhNWrVxc5\nqZ5UKsXf359q1arlWXcgMzOT2NhYpk2bxvTp04s0TnEQN0N9Bhw8eJDZQ3/gV/XcowDi5ZlMSgrj\nZWSEQjPfn6f+RIT3QSbXfV843fPJC65Fx7CudVPKauTvo7z7NpYJV27zV1dHbCr9T8Rlcjnez0JZ\nfOMJh48dp0WLFgpd2507d2jv3Jr5vVrT1bYez1/FMHXnGZy79+L3xYXLPaIogiDw22/zWb5sOQ3r\n1SIzU8aTFyHMmDmTSZMm5SoUYWFh2NjYsHvLetq0yr7z8sz5iwwcNoo7d+4WmDMoOTmZf/75B09P\nT+Lj42nUqBHa2trExsbi5+dHmzZtGDNmDG3atMlmR3BwMM2aNWPVqlXZ8qDExMQwYMAAXF1d+f77\n7wv1Oezfv59Lly7h4+NTqPO+JGJiYjAzM6NBgwZF8s+Hh4cTFxeHqqoqGhoa2bJVymSyrLQGP/74\nI7Nnzy61aQ1Ed80nJiAggLrpQB7fQX0VNaro6GVtz86PjIwMNm3YyDqb+gCEJ6ewNziMgy6OBQo8\nQCOjcsywqc+kE9eZ09oGkPD4XQJ7noRSoXIVTp+/gLW1tcLXZm1tjfcxH2b9PJXJ25ZjWsGE0eMn\nMHFiyVXv+f33hXjv30PA0W1UNX2/kPo8JIweI6eira3FqFE5H6mrVq3Knj176NOnD+3btMK1iwuC\nIHDo6HHOXrzC/v0HChT4J0+e4OLiQv369Zk7d26OZGGJiYns2rWLMWPGYGVlxbZt27LSFKxatYo+\nffrkSHRVvnx5/vzzT9zd3enfv3+hFvV27drFwoULFW7/JVK+fHkGDBjA8ePHMTc3L5QIJyUlERMT\nw4ULF7hz5w5LliwhIiICLS0tBEEgJSWF7t27M2XKlDzz8pQWxJn8J2bhwoX4LlqJm3be7o8p0igO\nXzhXoMCGh4dja2nJiTbNAVj5MBBBFX5sXE9he+SCQMdjl6hWsxYG+vrUqFWLoT+MLPVfZHjvojCr\nWpXr+zdSwyx75aLbD57w7eifCQoOyVMsY2Nj2bx5M5cuXny/m7N1awYNGlRgCodnz57h5OTEnDlz\nCpxxS6VSRowYQXx8PMeOHUNdXR0rKyv+/PPPPHO9Ozo6snz5curWrZtv3x84ceIEK1asIDAw8Isu\nb6gIUqmU1q1bExERQdWqVRVaS0pOTubFixds2LAhK5RVEASCgoKIjo5GU1MTc3PzUpHaQ0xr8BnQ\ntWtXfOUpZObxh3qRkYpcQ12h8m1SqRTN/xewDLkc77AI+tQsXCV5FYmEgbWqUbdefU5euIjnho2f\nhcDDe/eQmWnFHAIPYGNVF3VVVZ4/f57n+eXKlWPy5MkcOnyYg4cOMXHixAJ/yBkZGXTp0oVffvlF\nIZeKpqYmf//9N6qqqsyYMQN4LyD5zTILU8zEz8+PefPmsW/fvq9e4OH953369Glq1qzJixcviI2N\nzVMUMzIyiIyMJDAwkHXr1mXbqyCRSLCwsMDOzo7GjRuXCoFXFFHkPzENGjSgcZMmbEt/h/w/X75E\nuYy/ZXFMnTlDoR+soaEh75KTyZDLeZsmRUNFFbMyha9a1cTIgHt3Agp93qdGXV2dNKk01/cEQSBN\nKlVK7PS/OXz4MCYmJgplRPyAmpoaq1at4u+//yYxMRFnZ2eOHz+ea9snT57w+vXrAkUlPT2dPXv2\nMHnyZPbs2YONjU1hLuOLRk9Pj1OnTrFgwQIyMzN59OgR4eHhREdHExMTw+vXr3n58iX379+nefPm\nXL16Nc8CJ58josiXAnYfOkhszarMTH+NT+o7/NIS2J32jp9Swuk62I2x4xXbPFSuXDlsrBtxPuoN\nqTIZWqpF+/Nqq6kWOp9IaaBx48Ykpabhd+dBjvdOXrpO+fLlqVGjhlLHXLNmDcOHDy/0eaampjg5\nObFt2zbGjx/P9u3bufGfWPz4+HimTp2KlZUV3bp146effsLf3x+5XA68v3FFRkbi4eFBu3btOHXq\nFGfPnsXZ2bnY1xUWFsbMmTOxsLDAyMiIunXr8vvvvxMdHV3svj8FampqDB06lMePH+Pj40PHjh2x\nsLCgQoUKNGjQgHHjxhEWFsaOHTu+uILgok++lPAhdGzb35uIfRtDrfp1GTF6NPXqKe5PB9i7dy9L\nJk1gfn0LBl66wXlX50Kv+gdEx+LxOpFb93OKZWlnx44dTPtpCht+n0m7ls0QBIGj564w+pfFbNy0\nmc6dOyttrNDQUGxtbQkMDCxSHP3Zs2eZP38+N27c4PTp0/Tv3x9bW1uaNGnCq1evOHz4MN9//z3L\nli0jLi6OrVu34unpyfPnz9HR0UEqlaKrq8vAgQMZPXo09evXV8p1HTlyBDc3NxwdHXFycsLQ0JDX\nr19z/vx5/P39OXz4MC1btlTKWCWNXC7n1KlTHDhwgNjYWIyNjenTpw9OTk6lMgVBYRFDKL9CMjIy\nsGlgRRs1OBQSxkL7RjQyKtymo+UPnlOunQt/Ll9RQlaWLAcOHGDur7OJiIxEJpNRu1Yt5v22gI4d\nOyp1nGvXrjFp0qQiZ6qMiIjIWhSE9wt+e/bs4eHDhxgaGtK/f3/Mzc1znCeTyUhMTERbWxtNTc1i\nXcN/CQgIoF27dvz888/UqlUrx/u3b99m7dq1WfHjn4o3b96wbt06zp07h4GBAUOGDKFz587Z1i9O\nnDjBsGHDyMjIwMDAAHV1dTIyMnj37h1lypRh69atODo6frJrUAaiyH+lhIeH49SiBYZpKVTQ0eR3\n+0YKn5uWKaPTiWvc+P/CDJ8rgiDw+vXrrEyCJcGFCxf45ZdfOHnyZJHOj46OxtbWlrdv3yrZsqLT\np08fypQpQ9euXfNss3XrViwsLFi69NMUdX/06BGtWrXCxMQEExMT0tLSCAkJoXXr1uzYsQMVFRUO\nHjyIu7s7tWvXxtDQMNusXRAEoqOjefHiBYcOHVKKe+tTIYr8V0x0dDSjhg/j6NGjbGtnT91yiu0u\n3fgkmGeGlfA5e66ELfz8uXv3Lv379+fWrVtFOv/Jkyf06dMn34ifj0lCQgKVK1fmr7/+Qlc37wX7\nqKgoZs6cSUxMzCdxedja2qKurp7tSSMzM5OLFy/i4eFBmzZtqF69OpaWlvmmdXj37h2BgYFERkai\no/N+d/jly5fZs2cPsbGx1KlThyFDhlClSs5ordKCGEL5FWNsbMy+Q4dZ/dc6Rl0J4Hl8wYmq9geF\nsy8yhg1bvT6ChZ8/9erVIzY2lsePHxfp/NI2i3z9+jX6+vr5CjxApUqVSEpKIi0t7SNZ9j+CgoJ4\n/vx5jqdMNTU1atSowbp16/j7778xNjYuMG+PoaEhZcuWZdeuXbx8+RIrKytcXV05ePAgly5dYt26\nddSuXZuxY8cWKt1waUPc8fqFM2zYMLQ0NRk+dgx9qpvybXVTKuj8ryC0IAjci4lj18tXPEzJ4Pzl\nK6V65lKa0NDQYOjQoWzcuJE///yzUOdmZmayadMmjh07phRboqOj8fPzIykpifLly+Po6Jhv4e/c\n0NXVJTk5Gblcnm9s/ofsjspeD1CEd+/eoaenl6t9Ojo6vH37lvXr1yuc0K98+fKsWrWK2bNno6Ki\ngpmZWbanE0NDQ3bv3o0gCKW2vF9BiO6ar4RHjx6xasVydu7YSQOT8phoqpMpQGBCEqkqqoweP4Fh\nw4eXmsyQnwthYWE0atQIPz+/QiUC8/LywsvLi2vXrhVr/Lt377J48WKOHTtGo0aN0NXV5c2bN4SG\nhqmwWvMAACAASURBVDJo0CCmTp2arTpSamoqFy5c4O3bt+jo6NC8efOsm7ogCFhbW9OtWzdsbW3z\nHPPUqVO8fPlSaTeowpCUlESlSpVo3759jieOe/fu0apVK7Zu3Yqtra1CEU/Jycncv38fHR0dKlbM\nvc5xZmYmQUFBPH36tNRNgESfvEgOEhMTOXv2LDExMairq1OtWjUcHR0LtauyMNy9e5dtXlt59zaa\nRjZNcHd3/6x2CyrCkiVL2LZtG8eOHVNoBnnx4kXc3d05ffo0jRopvij+X44cOcKgQYMYNGgQrq6u\n2dwTL1++5J9//sHX15ezZ89StmxZFi1axJYtW6hevTrGxsakpaVx584dnJycmDFjBs2bN2fr1q38\n/vvvzJ07N9eZekJCAjNmzGDLli20a9euyLYXh59++ondu3fTvHnzrFwy4eHh3Llzh9u3b9O0aVMs\nLS0VysmfkJCAv78/5ubm+WYqffPmDcOHD1c4E+nHQhR5kU+GIAhM/XEK/3ht5XuHBlQpV4bLgRFc\nfPySQ0eOYm9vX3AnnwmCIDBz5kz27t3L6tWrcXBwyHVBMiUlBS8vLxYtWsTu3bsLLGGXH/7+/nTs\n2BEPDw+srKzybLdr1y527NiBXC6nSZMm9O7dO9sTR0pKCqdPn2br1q14eHjQv39/3NzcCAgIwM3N\njVq1amX9Nu/fv8+WLVvo3bs3ixcvLrLtxUUmk/Hjjz+yYcMGjIyMSElJQVdXl23btuHg4ECXLl0I\nCgqiatWqBfYVEhJCYGAgDRs2zHcROSYm5n3CPW9vZV5KsRFFXuSTsXv3bub9PAWfqQMpp/u/GdXJ\nu4GM9TpJcGiYUqoflSa2b9+elflx6NChWFtbo62tTVxcHD4+PuzcuRM7OzsWLVqUrzD/m5CQEJ48\neUJGRgYVK1bE1tYWFRUVevToQd26denfv3++56ekpDBw4EDi4+NJSEhARUWF2rVr4+rqipOTU1aa\nh+DgYKZMmcLBgwdp2bIlHh4eLF++HFVV1azNULq6ukyfPh13d/fifVBKIjY2loCAAPT19bGxsckS\n6XPnztG3b18aN26cr3DL5XJu3ryJVCrFwsIi35QXr1+/JjY2ljt37lCnTh2lX0tRKXGRHzJkCMeO\nHcPExIT79+/n2mb8+PH4+Pigo6PDli1baNy4cZGNFfl8cLRvzqim1enaJOeO3d4e+xgwfipubm4f\n1abMzEx2796N59o13A64g4qKCq0cHRgzdhwuLi5KCQcUBIGLFy+yYcMGgoKCSElJQV9fnxYtWjBy\n5EiqV6+uUB/Hjx9n5cqV/F97dx7V1LX9AfwbIBDmSQkCCsqkqAwqiFoQFcQ6oZYqIs61otWK+rPW\nqk+rr4pDa+tQpzpgrRO1iiI4gEUpCFjA2ioFRJFZBWQeQpLz+8NnXnkkEIZwQzyftbJWITf37FDY\nnty7zz4pKSno378/2Gw2cnJyQAjBzJkzsXfvXkRGRjZbCZObm4slS5bA3Nwcvr6+sLe3h0AgQFJS\nEkJDQ8Hj8RAcHCy6zHPjxg0kJiYiKioKwJskmJycjNevX4PL5bY425UXhBC4ubmhoKAAVlZWYmMW\nCoXIyMiAvb09NDQ08Ntvv0lcT0EIQXp6OrS1taGjo4PMzEy5+TnIPMnHxsZCS0sLc+bMEZvkIyIi\nsH//fkRERCAxMRErVqxAQkJCm4NlWklJCW7cuIHXr19DS0sLo0aNkmqv03eRkaEB4jctAFev6W5X\nO8Pugm/jgu3bgzstnvr6ekybOhWvi19izdKF8HQfDj5fgLDrUdh54AeMHD0G33//PeN/vEKhECtW\nrEBkZCSWLFmCiRMniqpkCCFISUnBli1boK2t3Wy1R1VVFaZPn44ZM2aI3TKPEIJ9+/bh0aNH2Ldv\nH5SUlMDj8eDn54d79+6JXe3alZSVlcHLywsFBQXgcrno1q0bWCwWhEIhiouLUVRUhL59++LatWtI\nTU3FyJEjYWNjI/Y+xMuXL1FaWgorKysUFBQgNDRUbkpfZV4n7+bm1mw1xpUrV0Qf7YYOHYqysjK8\nePGiPUMy4unTp/Cf4Qdzs57YGhiEo2s2Y9eyNehv2xfjxnji/v37TIcod4y5RnhSVCL2uaziCpiY\ndO6WdGvXfgY1lhAxv/yIKe97QUtTE3q6Opg7YxoSIi4gOfGeXJTIffHFF7h37x5++eUX+Pr6NiqD\nZLFYGDx4MKZPnw4DA4NmzxMWFgYbGxuJe6KyWCwsW7YM9fX1osZoqqqqcHV1xe3bXX8hnJ6eHn77\n7Tds2bIFtbW1iI+PR3JyMuLj40EIwa5du3Dr1i1oaGigsLAQmpqayMzMxIsXL8Dn80Ubgzx//hyv\nXr2Cubk5lJSUwOFwcPToUabfXqvItE7+baP+t8zMzJCXlwculyvLYTtUamoqvEaNRp9KJXwgNIR6\n3X9b/g4FB5m3U+HpMQqnz51tdil4V/bHH3/g0aNHEAgEsLCwwIgRI1qsxpm/aDG++fEIXG16Qvkf\nx2YWFiMyNR17LzZ/LbkjlZeXIyQkBI/uRIi97qqtpYVvt67H3BXrsHTpUplVGrUkOzsbR48eRVRU\nVLMLeXR1dVFRUdHsuX7++WesXr262WOUlJTwwQcf4MqVK6Jdx97WyisCNTU1LFy4EAsWLEBhYSEq\nKiqgr6/fJP8UFRVBS0sLRkZGKC4uxuPHjyEUCsFms2FgYABra2vRRjOqqqrIy8tj4u20mcwXQ/3v\nR4nmPg7/szzJw8MDHh4eMopKOiUlJRjn6YVB5Wz0QdPyKjaUYAdtdKtRRYDfTMQlJkh9Q60rCA0N\nxa5tX6EgNwdDehpDmcXC45el4Kuo4pOglVi+fLnEPvdLly5FxNUrmPz1OXwyZjDMDHVx42Em9t1I\nhJ9/AGprazvtfdy6dQvDhwxCD67kHjaugx3BwpsKkvaUNbbHoUOHMHXq1BZn6e+99x7WrVuH0tJS\nsccKBAJkZ2dLtdGMo6MjTp367wrnsrIyhStxZbFYMDExkbiFo6amJggh0NDQEF1+lbSRi0AggLa2\ntkzjbU5MTAxiYmJa9RqZJnlTU1Pk5uaKvs7Ly2t2wYi81aD+8MMP6F4LsQn+n4ygBru6BgT/+yuc\nPne2k6L7r6qqKoSFheHFixcwNTXF5MmT2125su6zNQg9FYJ17w3E6LEOotk4IQTJ+a+we/8exETd\nQuily2Jnx2pqarh2/QZOnz6N748dRVZWFsrKKzC0bx8U/pkEhwH9MX78eBz+4ViLy+jbq7KyEt0M\nml/kxWKx0N3QAJWVLbd/kJUzZ87g2LFjLR6np6cHb29vXLhwAYGBgU2ef5ucpLnH9c9kVlVVhYSE\nBISEhLQy8q7N09MTn3zyCQwMDESTFkmTUR6PJ/ESWGf438nvl19+2eJrZPq5dPLkyaJZQkJCAvT0\n9LrMpRqhUIh93+yBTa10OwnZCNVxOSwMpaWlMo6sse/27IGZsTEOf7YWid9+h72rVsGUy8XRw4fb\nfM4jhw/j0k8/4qLfGHhZ92p0uYXFYmGImRFOTRuJ6qfpWLl8mcTzqKqqYsGCBZg0ZRoMNdWRvHsF\nrn4+G2c+/RB/712FhoInmOU3o81xSsvc3Bx//p3RbNKrq6tHRtYzRm+kFxUVST3+8uXLERoaKvb6\nuZKSEqytrZGcnNzieZKSkmBlZQUACA8Px9ixYyWu/JSkoaEBFy5cgIeHB3r16oV+/fph48aNohbK\n8q5nz55wc3PD69evmz2utrYW1dXVLZatypt2VdfMnDkTd+7cQXFxMbhcLr788ks0NDQAABYvXgwA\nWLZsGa5fvw5NTU2cOHFC4rZk8lZdU1hYCNs+lphZ1x0sSFdxcUu3BkcunsWYMWNkHN0b3x84gF0b\nN2KbuQXMOP+duWfX1uCL7Gf46rvvMKeVNc0CgQB9epnhgNcQ2PdofvVmeV093H64gvQnWRL/8a6v\nr0cvUxNc/2IObE0bXy5p4AtgF7QH12/HSHVpoa2EQiGsLC3x474dGO4s/vfv5LmLOBt+CzdvRcks\njpZoamri/v37Un+yefjwIfz9/eHt7Y2ZM2eKKmKEQiF27dqF9PR0fPfddxJnpXw+H3PnzsWKFSvQ\n0NCAnTt34u7du63aqKa8vBzjxo1DWVkZ3Nzc0KtXL1RXV+P+/ftISUnB+fPn4eXlJfX5mJKVlQVn\nZ2doaWlBT0+vyc+strYWRUVFOHToEPz9/RmKsilp8ma7LtecPdvypYn9+/e3ZwjG1NXVQVWZLXWC\nBwAVsDrtWnN9fT02b9iA3b0aJ3gAsFDXwIaevbD+s88wKyCgVRs6X79+HYaqKi0meADQ5ahhvK0F\nfjh6FOs3bBB7TEpKCkwMdJokeABgqyjDx8UOkZGRMk3ySkpK+GrbNsxauho3zh2HjWXjjTji76dg\n7b9343JYmMxikIatrS2Sk5Ph7u4u1fF9+/aFmpoaTExMsGzZMnA4HFHvGi6Xi7KyMpw8eRLz5s1r\nkrT4fD527NgBHR0dxMbGIjY2FmFhYa3eiSwgIAAcDgcrVqxodMO6d+/eGDRoEKZPn47k5GTRtosR\nERH45ptvoKSkhLVr13bahKgllpaWiIuLw/jx41FQUAAOhwM2mw2BQICGhgZUVVXh4MGDcpXgpUW7\nUEpgaGiI6oY68CGEihRXtQgIKoU8mW1Q8b+io6PRk6OO3hL6bdhpaUPrRRHi4+NbtftNfFwcPMyk\n6+AHAKPMjRB29w4A8UmeEAIlluSfn1InfYKbOXMmqqqq4DrhQ7w/eiQ83YaBLxDgcmQU7v/xJ06d\n+hHDhw+XeRzNWbx4MX766Sepk3xkZCTs7e2xd+9efP3113jy5AlqampgYGAACwsLFBYWYty4cUhJ\nSYGPjw/s7e0hFAqRkJCAs2fPorKyEmw2GxMmTMDevXtb1WANADIyMhAXF4etW7eKrUiysrKCq6sr\n9u3bhz179uDu3bsICAiAt7c3hEIhfH19cePGDbi4uLRqXFnp168fsrKyEB0djR9++AF5eXnQ1tbG\nhx9+CD8/P5nfO5IVmuQl0NHRwXDXYci6+xds0XRBz/96BR6UNDgYMmRIJ0T3pvKnezPLsAGAq8ZB\nSYn4WnVJ6mprwWFL/2vBUVFBXZ3kTb8HDRqE3OLXeFJYDKv/+XTAFwhw+f5jhP97b6tibKtFixbB\n19cXISEhuJOSDCUlJXw4aw4uXvWTixYLs2bNwvr165GcnNxsF0jgzU3S77//Htu3bwcAsNnsJrNw\nExMT0Z6sBw4cwMGDB6GsrAw7Ozt8/vnn8PDwgLW1dZv2pwWACxcuiDbwkMTV1RVHjhzBnj17cO7c\nObi6uoqql0pKSnDx4kW5SfLAm099Xl5eXeISk7Rokm/Gqs/WYFFKACyrCFSauWxDQPBInYflKz/r\ntBrr3r17I6umWnKpFyF4Ulkp1TL6f+phaoo/fpP+klNOWSW4PSQ3guJwOFj1f/+H+QeP4sJKP/T4\nzw5VtbwGrDx5DQ5Og+Ho6NiqGNtDX18fQUFBnTZea2hpaeHHH3/E3LlzcejQIYmJvry8HIGBgXBz\nc8OUKVOaPSebzYavry98fX07PN6ysrIWywl1dHREFUt6enooLy8XPVdZWQkdHel2LKPajjYoa4ZQ\nKMQ0nyl4HB0H91pNsZdtCAjus6shsDZGfFJip32kI4TAxsICH6trwlXMquPbJcW4rKKMlEePWrVU\nPycnB44D+iN+kQ80VJv/pEAIwaSzt7Dz8DGMGzeu2eM2bdyAffv2Yng/S2hx2Lj9RyY8Ro3C8ZBT\njNYdy6PIyEgEBATAxcUFs2fPxuDBg6GiooLc3FycP38eoaGhsLOzA4/HQ319Pezt7bF06VIMHTq0\nVePk5eVBX1+/zb+z+/fvx9mzZ5ttWJaZmYmrV6/i77//xsuXL+Hs7Ax9fX0IhULU1NQgKSmpxXUB\nlGS0C2UHqK+vxyy/mbh7KxrWNSqwIhrgQAl8EDxFDZ5oCdHDygKRUbdgaGjYqbFFR0djxpQpWGZs\ngpGGhlBhsdAgFCK6pBiHXhTh6o0bbbrOPHn8ONjVlWDp0OYXdt3OysOWhL/xJPt5k08whBDcu3cP\nDx68aQTm4uKC3r174+bNm6ivr8d7770nuhlHNVVZWYnTp0/j0KFD+Pvvv8Hn82FkZITRo0fj+vXr\nGD16NCZMmAAtLS0kJSXhp59+QkBAAIKDg6X6R720tBSGhoaYOHEirl692qYYS0pKYGFhgX/9618S\nV+geP34c06dPx6pVqwC8mf2Hh4dDSUkJEydOpDP5dqJJvoMQQpCQkIBvd3+Nq9fCUc/jQVlJGW4j\nRmD12s/g7e3dqgqWjhQbG4vPVqxAVuYT9NDSRH5VFezs7LBr795Wz+zeys7OxnAXZwQ594WfvZXY\nY+49L8SyiHu4eOVqkxuFN2/exP8FrUBdZTncbHtBSAhuP3oGrokJvjtwUKF6yXcWQggqKythY2OD\nTZs2NelF//r1a8yfPx/r16/H7NmzWzwfn8/H4sWL4e7u3q7WwW/76AcGBkJL67/3rgghiIqKwu+/\n/44HDx60uN8q1TY0yctIQ0MDVFRUGO9Y+E9ZWVkoKiqCiYkJevfu3fILWpCRkYGJ47yhAwEC+lvA\n2cwIykpKSHtZijOPn+NBYTHO/3yxSTe+y5cvY/HC+dg/exzG2v+3zatAKMTl39Ow9vxthF66jJEj\nR7Y7xnfNvn37EBkZiW+++Ubs87Gxsdi/fz8ePHjQab+bQqEQn3/+uegegqmpKWpqavD7779DX18f\nV69eVZhOrYQQlJaWgsViQV9fXy7+/mmSp9qFz+fj2rVr+P67b5GWlgaBUIBePXti0dJl8PPza7Jd\nWlVVFczNTHHx0w8xqLf4PiHRf2Xh07PReJaTJ2r6RElnwoQJ8Pb2xtixY8U+LxQKMWLECKSnp3da\nKe9bBQUFOHnyJDIyMqCtrQ1fX1+4u7vLRSLMzs7GgQMHcO3aNfB4PFhZWWH58uUYN26cVJ/ACSE4\nefIk/v3vf4tW8fbq1QsbN25EQEAAo+9R5ouhKMWmoqICHx8f+Pj4SHX8Tz/9hGE2vSQmeAAYM8AS\nproJCA8Pb7EyhGqsoaGh2XJHJSUlqKqqiladdyYTExN88cUXnT5uS3bu3IktW7aAy+XCwMAAOjo6\nyM3NxcKFC2FkZISoqKgW/0FctWoVTpw4AQ0NDVGTs8rKSixfvhx//fUXo1shSoOZnqqUQroVeQ1T\nncRfw/+nKY5WuBF5rRMiUiwuLi6Ij4+X+HxaWhrYbHare88oqqNHjyI4OBhOTk7o06cP9PT0oK2t\nDRMTEwwYMAC1tbUYNWoU6uvrJZ7jwYMH+OGHH6Cnpwd1dXWwWCywWCxoaGhAT08PBw4cwKNHjzrx\nXbUeTfIKrKKiAr6TJ8G0e3fMmDYNVVVVMh2vrrYWmmotL6zR4qiirqbzWg0risWLFyM8PBzPnj1r\n8pxAIMC+ffsQGBjIWBGAPGloaMC6detgY2PTaOOVt1gsFszNzVFWVoaLFy9KPM/+/fvB4XDE/kyV\nlZWhrq6OgwcPdmjsHY0meQX2xZo1qHv4B77vb42y5CRs2rBepuP1trLGw9yXLR73ML8Yva269vZy\nTOjZsyd2796NBQsWIDQ0FDU1NaItAZcsWQIWi4U1a9YwHaZcCA8Ph5qaWrNrMFgsFrp164Y9e/ZI\nPCYtLa3Ze0fKysp4/Phxu2KVNZrkFdiT9HS4G+jCVEMd7+npIis9Q6bjffTxYoTEPQSPL5B4TGVt\nPX5O/AvzFyyQaSxdwdtNtWNiYlBcXCzVaxYsWIDz588jKSkJQ4cOhYODAzZt2oSpU6ciMjJS7B6l\n76K0tDTRDF4oFKKwsBApKSlISEhAamoqioqKIBQKoauri8zMTInn4XK54PP5Ep/n8/lyf3mM3nhV\nYDPnzcOGlSuRXlmNyFel+GbdRpmO5+DgABfX4fj0x+vYP+d9qCg3nkPUNfDx0bFw+Pp+2GhbSHkj\nqVVERzp16hQ2btwITU1N6OnpIS0tDT4+Pti7d2+LC4Tc3d3h7u4OgUAAPp9PE7sYby+v1NfXIzU1\nFWw2G2ZmZlBXV0dNTQ3y8vKQk5ODfv36NduK5OOPP0ZMTIzY3wlCCAQCARYtWiTT99JetIRSwUVG\nRuLevXt47733JJbedaSqqip8MGUyXmRnYfFIR7j3s4CQENz6MwtH7zzAgMEu+Onc+TY3xZKVrKws\nbNu2DaGhoaiurobzkCFYtXo1pk+f3uFjHT9+HF9++SUOHz4s6k/z+vVrbN26FVlZWbhz506zTb+o\nlsXFxWHSpEkQCoXQ19eHpaVloyRNCEFGRgZev34NDw8Piat+hUIhRo4cibS0NGhpaYn+8RAIBKiq\nqoK9vT2io6MZK6OUKm8SOSFHocicUChkOgSZ4vP55Nq1a2SCtxcxM+aSXibGZNrkSSQ6Olou33ta\nWhrhco3Iv9auJvl//0HqXuaQsLOnSF8ba7J58+YOHau+vp4YGxuT6Oho8vLly0aPoqIi4uzsTEJD\nQzt0zHeRUCgkZmZmhMPhkDFjxhBPT88mj9GjRxMVFRVy7NixJq/duXMncXBwIH5+fiQvL4/Mnj2b\ncDgcYmRkRIyMjIi6ujqZN28eqampYegdviFN3qQz+U4WHh6O6R/4wtbaGrEJ9xotBaeYMXHCBHi6\nDcOKJY0/dr94+QoDho3E/fu/d8gqYgCIiorCF198gWvXxJeQnjt3DjExMc1WfMgzoVCIurq6Jgvl\nmBAQEIC4uDjR9obipKenIzAwsFGN//nz5xEYGAh9fX3U1NRgyJAhCA8PR3FxMe7duwcWi4Vhw4Z1\neq8qcaTJm/TGayc7fvAQvFjaeJWdI9UenJRsvXr1CnHx8Vg0d1aT57hG3THzg6n48ccfO2y8yspK\ndOsmeVMWIyMjVFRUdNh4nenAgQPQ0tKCvr4++vfv3+wNzc6gp6fX4mUvNpvdZDe35ORkUWWOrq4u\nUlNTAQDdunXDpEmTMHHiRLlI8NKiSb6TfbJqJe5pCGFlP0CuNkt4V5WUlKB7N0OJM88+FuZSV75I\nY8CAAUhOTm6yAOf169dv/sGJi4O9vX2HjddZrl+/jq1bt+Lzzz/Ht99+i4EDB2LcuHGMrL59y97e\nvtmFTsCbG7N2dnaNvjd27FjU1NSgpKQEpaWl8Pb2lmWYMkeTfCcbM2YMXpaWICY+Ti52I3rXmZmZ\n4VVxCQqLXoh9PuF+MmxtbTtsPGtrazg4OIj2Pi4pKUFAQACGDBmCYcOGISQkBBMmTOiw8aQlEAhQ\nXFyMurq6Nr3+2rVrGDFiBIyMjMBiseDh4YHa2lqxC7c6y8yZM1FaWipxEWBFRQWqq6sxbdq0Rt/3\n9PTEmTNn4O7ujqCgIBw6dKgzwpUZmuSpd5qWlhb8/Pyw/t/bIRQKGz0Xl5CE6Lu/ISAgoEPHPHHi\nBC5evIiFCxciICAA5ubm+PPPP/H48WN8+umnWLFiRafdn6qursa6devQo0cPWFlZwcDAAL6+vq1e\nqq+trS3aAQoAeDweqqurGd0XNScnBxwOB8nJySgpKRH9TAkhePXqFdLS0nD06FGxJagTJ07EmTNn\nsH79ermrBGsteuOVeudVVlbCe+xYqCgBi+YGoJuhASJv3cbZi5dw+vRPMvm4XlFRgb179yI4OBhp\naWmiREMIgZubG86cOSPz/YLf9m7R0NCAv78/evXqherqakRGRuKXX37BzZs3MWjQIKnO9fz5cwwZ\nMgTDhw+HsbEx4uPjMXDgQJw5c0am70GSsrIyWFtbo0ePHlBWVsaTJ08gEAigpqaG6upq9OzZEwcO\nHGh2R7OugHahpCgpaGtrI+bOHfzyyy84f+4cqqur4OwyFMnJKTLrha6jo4OAgADs27ev0c1BFosF\nTU3NJjcDZeH777+HsrIy1q5dK6rz1tTUhK+vL3R1dREYGIikpCSpzmVubo6EhARs2bIFOTk58Pf3\nZ7TFwvHjx6GlpQVTU1MAb1auVlZWgsfjoaSkBC4uLl0+wUuLzuQpiiGEEAwePBizZs0S7eYUHR2N\n1atX4/nz5zJfENW3b198/PHHGDCg6TaPAoEA8+fPx+3bt5vcmOwKvL298fLlS7EtB6qrq5GZmYnC\nwkIGIutYdCZPUXKMxWLh9OnTmDBhAn788Ueoqanh+fPn+PnnnztlxWteXp7E+n9lZWWYm5sjJyen\nSyZ5DocjseeMQCDo8tfZW4MmeYrqYL/99huePXuG4cOHw9LSstlj7ezskJmZibi4ODQ0NMDNza3T\netFwuVzk5+fDxsamyXNCoRD5+fno0aNHp8TS0WbOnInVq1fD1NS0ScuBFy9eyKRdhbyi1TUU1YG+\n/PJLzJ49G+Hh4XB1dcXdu3dbfI2KigpGjhwJT0/PFhM8IQTnzp2Dp6cnHBwcsGTJEjx58qRNsS5Y\nsACXLl0S+3E/Pj4eBgYGXbJmHwCmTZuGbt26ITMzEzweD8CbGXx2djYqKiqwatUqhiPsPPSaPEW1\nE/lPh8La2loYGBiI9lg9d+4cTp8+jaioqA4ba+XKlbhx4wYCAwNhamqKX3/9FRcuXEB0dDQGDhzY\nqnNVVFRg2LBhsLKygp+fHwwNDcHj8XDnzh0cO3YMYWFhcHNz67DYO1t5eTk++eQTXLp0CVpaWqiq\nqsKwYcNw5MgR9OnTp03nfPXqFZYvXw5ra2ts2bKF8T1sO6VBWWRkJLG1tSVWVlYkODi4yfO//vor\n0dHRIY6OjsTR0ZFs3bpV7Hk6IBTqHcPj8UhWVhaprq5mZPyioiLi7e1N2Gw2MTQ0JDt37iTq6urk\n1atXpLa2lvz888/E3d29w8bLyMgghoaG5P79+yQ9PV302LBhAxk7dmybzllSUkIWLVpEdHV1Sa9e\nvYiuri7x8PAg9+7d67C4mVZWVkb+/PNPUlRU1O5zbd68mWhraxMNDQ3y4MGDDoiufaTJm+3K2FmG\nNgAAE7lJREFUrHw+n1haWpJnz54RHo9HHBwcyOPHjxsd8+uvv5JJkya1HAhN8lQrZGZmEsveFqSn\niTEx0NcjN27c6NTxhUIhGT58OFm1ahWprKwkjx49IlZWVmT06NHE2dmZrF69mhgbG5OLFy922Jh7\n9+4lM2bMaJTg09PTSWpqKlFSUiI7duxo87krKyvJ33//3SGJUJHduXOHqKmpEXNzc1JeXs50OFLl\nzXZdk09KSoKVlRUsLCzAZrPh5+eHsLAwcZ8W2jMMRTWxcsVyLPLxxNOIEPy8ewMCZvl36u/Z2xWT\nwcHBUFdXh62tLTZs2IBu3bohKCgI+vr6uHjxYpMl8+2hpqYmtu1AXV0d2Gw2vvnmG/z+++9tOreW\nlhZsbW3B5XLbG6ZCc3d3R3l5OZ4+fdri5i7yol1JPj8/v9EOP2ZmZsjPz290DIvFQnx8PBwcHDB+\n/Hi53w+xIxBCUFRUxHQYCi0/Lx8jBr2p73a174fXZeWd2gyLzWajoaGhUQOsiooKqKmpwd/fH+vX\nr8fw4cM7dEwfHx/ExMQgJyen0fePHz+OcePGwcfHB5cvX+7QMamm1NTUmt1NSt60q4RSmpsOgwYN\nQm5uLjQ0NBAZGYkpU6YgI0P8XqObN28W/beHhwc8PDzaEx5jtn/1FdZv3Ijbt29j1KhRbTrHjRs3\n0KdPH1hb0w2vxfGZOg2rvz6KNXM/wC/R8fAaM7pTa5/19fUxefJkzJgxA+vWrUNOTg62bt2KS5cu\nyWxMLpeLnTt3wt/fHx988AF69eqF27dvIzMzEydPnsTBgwdbLNmkuraYmBjExMS07kXtuR507949\n4u3tLfp627ZtYm++/pOFhQUpKSlp8v12hiJXIiMjyVCnQeTJkydten1SUhIBQKx69urgyBSHQCAg\nu3btIpPGv09WBgWRioqKTo+hrq6OfPbZZ8TZ2ZmMGTOGREVFdcq4Dx8+JNOnTyf6+vpk9uzZ5O7d\nu2T79u3E0NCQ5Ofnd0oMlHyQJm+2K7M2NDSQPn36kGfPnpH6+nqxN16LiopEW74lJiYSc3PzNgf7\nrnj9+jXxch9Jvtz4L6ZDaeLE8ePEQFeXcLsZduhNRar1QkNDSb9+/QibzSYjRowgCQkJTIfUZufP\nnyejRo0i69atI3w+n+lwRIRCIUlMTCSHDx8mcXFxcrd9pcyTPCGEREREEBsbG2JpaUm2bdtGCCHk\n0KFD5NChQ4QQQvbv30/69+9PHBwcyLBhwySWZnWVJL9/3z4yaoQbOX36NNOhdLoXL14QXS1NErXE\nl1z5aArR0dRgfI9LquvLzMwkurq6ZOrUqcTCwoIcOXKE6ZAIIW+qB318fIiOjg4xNjYmenp6xMvL\ni9TX1zMdmog0ebPdbQ3ef/99vP/++42+t3jxYtF/f/LJJ/jkk0/aO4xcePDgATZ89jkG16ojMHkR\n3N3dG914VnTl5eVQV2XDspseGgQCEEJQW1vbJTY/iY2NxfHjx6CsrIzAwCUyb+NLSa+kpATq6uqw\nsrJCdna23DQOO3/+PGJjY2FsbAwlJSUQQpCSkoLjx48jMDCQ6fCk1nVuEcsBoVAIFosl+qGRd6w0\n1MrKCsOGj8CEk9cw/kQEpn/4IQwMDJgOq0W3b9+G7wfTMMjSFP1MDPH+uHG4f/8+02FR/+Hs7Ax3\nd3fs2bMH1dXV+Pjjj5kOCQBw6dIlqKqqiippWCwW1NTUZHpzXRZog7JWGDRoEDZu/RK/nA/FviWL\nZdZrvKOVl5dDW1u73WVfLBYLoZfDcPfuXbBYLOTl5SEzM1PuK4D2frsHwetWYu6HPgDevI+DB7+H\ns/MJhiNTfFeuXMGKFStQVlYGT09PHDt2rEl9uZKSEs6fP4/a2lpwOBzGWwW8ZWZm1mQiJxAIRD3q\nuwo6k2+llatWITbxHubNm8d0KFK5dOkSuhsaYnIH7W6krKyMUaNGISMjA8sWf4wpE8d3yHllSSAQ\ngKP23/JKDkcNggbxbWipjpOamop58+bh/fffx4oVK5Cbm9vs3426urrcJHgAWLp0KWpqalBeXg4+\nny/aEzYoKIjp0FqFzuQVXFZWFgw11PEkK6tDzzto0CCoa2pizBjPDj2vLMxf+BFWLF8GZWVl8HgN\n2PLtIZw5e47psDpcQUEBQkJCQAjBnDlzYGZmxmg8UVFRcHBwgJWVFYA3+6YGBwczGlNrWFtb4+bN\nm1i5ciX++usv9O3bF2fOnOlynTlpkldwQUFB6N27d4ffaBwyZAgKX77q0HPKyrRp00AIwbGjR6Cs\nrIKTIacwevRopsPqUAUFBXB2dsaIESPAYrHg7OyMxMRERi8p6unpobS0VNSls7i4uMu0AnjL1dUV\n9+7dYzqMdqGthilKAWzfvh2pqalYv349AGDHjh2wtbXFpk2bGIupuroarq6uUFFRgaGhIVJTU7Fv\n3z74+/szFpOiodv/UdQ7ghDS6Ma6srIy45MmTU1NJCQkICQkBKWlpdi6dSuGDRvGaEzvIjqTpygF\nkJubCxcXF4waNQrKysq4efMmEhMTYWFhwXRolAxJkzdpdQ1FKYCePXsiMTERNjY26NOnD03wlAid\nyVMURXVRdCZPUdQ7qbS0FL6+vnB1dcWvv/7KdDiMojN5iqIUzvz583Hnzh3o6ekhMzMTpaWlYLPZ\nTIfV4ehMnqKod1JZWRk4HA709PTA4/EgEAiYDokxNMlTEhUUFMB3ig9mzZiO0tJSpsOhKKlt374d\nNTU1SEhIwO7du8HhcJgOiTH0cg0l0Ufz5qL2j0RU8BowYKIvtu/YwXRIFEX9A71cQ7WLEZeLJ2VV\neF5RAyMul+lwKIpqAzqTpyTi8Xg4evQoOBwO5s2bB2VlZaZDosS4c+cO4uLiMGXKFNjZ2TEdjkIo\nKCjAw4cPMXbs2Ha36JYlafImTfIUBSA7Oxuz/P1RVVWFH44dg7Ozs9Svfft7y0Sb3MTEREyaNAne\n3t64fv06Hj9+jO7du3d6HIrG0tIShYWF2L17N5YuXcp0OBLRyzUUJaXg4GC4OA3ERwEz8Pnaz6R+\n3aVLl6Cjo4PevXsjIyNDhhGK9+DBAwwdOhRr1qyBvr4+nj592ukxKCJTU1M0NDSgR48eTIfSbnQm\nT1EAvvrqK4SHvdlgxcDIGCdDQqR63fDhw7FmzRrcuXMHHA6n0/ulFxUVwdXVFTweD3369MHt27eh\nqqra8gupZvH5fJSVlaFbt25Mh9IsermGoqTE5/Nx5MgRVFRUYNmyZdDS0pLqdatXr8bNmzdRUlKC\ngwcPwsfHR8aRNlVbW4vc3Fz06dMHKiq0sey7hCZ5ipIxoVCImzdvolu3bh2+MQslvaqqKqiqqr5z\nn2JokqcoSuHFx8fD09MT+vr6ePToEfT09JgOqdPQG68URSm85ORk6OrqoqKiAgUFBUyHI3dokqco\nqonNmzdDX18fcXFxTIfSooULF2Lu3LnYtWsXXScgBk3ylEwJBAJcu3YNlZWVTIdCtcJff/2FsrIy\nZGdnMx1KizQ0NBAcHIzAwECmQ5FLNMlTMhUVFYWJEyfiu+++YzqUdnn48CG+3LwZQqGQ6VA6RUhI\nCJKSkuim2/9RVVWF4cOHY0cX7N9E662odsnLy0NBQQFcXFzEPu/m5oadO3fCz8+vkyPreO9SYYCm\npmarVv0qusrKSiQkJMDY2JjpUFqt3dU1169fR1BQEAQCAT766COsXbu2yTGffvopIiMjoaGhgZMn\nT8LJyalpILS6Ru7FREdBz7AbHB0dRd/77bffkPc8G36zAhiMjKJkr7y8HJqamnK1FkHm1TUCgQDL\nli0T9cw4e/Ys0tLSGh0TERGBJ0+eIDMzE0eOHMGSJUvaMyTFIF0DQ2hrazf63nvvvUcTvBy7e/cu\nvR/SQXR1deUqwUurXUk+KSkJVlZWsLCwAJvNhp+fH8LCwhodc+XKFcydOxcAMHToUJSVleHFixft\nGZZiiJOTEywtLZkOg2qFv/76i5GeOpT8aFeSz8/PR8+ePUVfm5mZIT8/v8Vj8vLy2jMsRVFSWrp0\nKQYPHsx0GBSD2pXkpW2t+r/XjJhoyUpRFPUuatcFJlNTU+Tm5oq+zs3NhZmZWbPH5OXlwdTUVOz5\nNm/eLPpvDw8PeHh4tCc8iqIohRITE4OYmJhWvaZd1TV8Ph+2traIjo6GiYkJXFxccPbsWfTr1090\nTEREBPbv34+IiAgkJCQgKCgICQkJTQOh1TUURVGtIk3ebNdMXkVFBfv374e3tzcEAgEWLlyIfv36\n4fDhwwCAxYsXY/z48YiIiICVlRU0NTVx4sSJ9gxJURRFtQLtQklRFNVF0S6UFEVR7zia5CmKohQY\nTfIURVEKjCZ5iqIoBUaTPEVRlAKjSZ6iKEqB0SRPURSlwGiSpyiKUmA0yVMURSkwmuQpiqIUGE3y\nFEVRCowmeYqiKAVGkzxFUZQCo0meoihKgdEkT1EUpcBokqcoilJgNMlTFEUpMJrkKYqiFBhN8hRF\nUQqMJnmKoigFRpM8RVGUAqNJnqIoSoHRJE9RFKXAaJKnKIpSYDTJUxRFKTCa5CmKohQYTfIURVEK\njCZ5iqIoBabS1heWlpZixowZeP78OSwsLHDhwgXo6ek1Oc7CwgI6OjpQVlYGm81GUlJSuwKmKIqi\npNfmmXxwcDC8vLyQkZGBMWPGIDg4WOxxLBYLMTExSE1N7fIJPiYmhukQpELj7Fg0zo5F4+xcbU7y\nV65cwdy5cwEAc+fOxeXLlyUeSwhp6zBypav8T6dxdiwaZ8eicXauNif5Fy9egMvlAgC4XC5evHgh\n9jgWiwVPT08MGTIER48ebetwFEVRVBs0e03ey8sLRUVFTb7/1VdfNfqaxWKBxWKJPUdcXBx69OiB\nV69ewcvLC3379oWbm1s7QqYoiqKkRtrI1taWFBYWEkIIKSgoILa2ti2+ZvPmzWT37t1in7O0tCQA\n6IM+6IM+6EPKh6WlZYt5t83VNZMnT0ZISAjWrl2LkJAQTJkypckxNTU1EAgE0NbWRnV1NW7evIlN\nmzaJPd+TJ0/aGgpFURQlAYuQtt0VLS0txfTp05GTk9OohLKgoACLFi3CtWvX8PTpU0ybNg0AwOfz\nMWvWLKxbt65D3wBFURQlWZuTPEVRFCX/5GbFa2hoKPr37w9lZWWkpKQwHU4T169fR9++fWFtbY0d\nO3YwHY5YCxYsAJfLxcCBA5kOpVm5ubkYNWoU+vfvjwEDBmDv3r1MhyRWXV0dhg4dCkdHR9jZ2cn1\np1CBQAAnJydMmjSJ6VAksrCwgL29PZycnODi4sJ0OBKVlZXB19cX/fr1g52dHRISEpgOqYn09HQ4\nOTmJHrq6upL/jqS/1SpbaWlpJD09nXh4eJDk5GSmw2mEz+cTS0tL8uzZM8Lj8YiDgwN5/Pgx02E1\ncffuXZKSkkIGDBjAdCjNKiwsJKmpqYQQQiorK4mNjY1c/jwJIaS6upoQQkhDQwMZOnQoiY2NZTgi\n8b7++mvi7+9PJk2axHQoEllYWJCSkhKmw2jRnDlzyLFjxwghb/6/l5WVMRxR8wQCATE2NiY5OTli\nn5ebmXzfvn1hY2PDdBhiJSUlwcrKChYWFmCz2fDz80NYWBjTYTXh5uYGfX19psNokbGxMRwdHQEA\nWlpa6NevHwoKChiOSjwNDQ0AAI/Hg0AggIGBAcMRNZWXl4eIiAh89NFHcr/wUN7jKy8vR2xsLBYs\nWAAAUFFRga6uLsNRNS8qKgqWlpbo2bOn2OflJsnLs/z8/EY/QDMzM+Tn5zMYkeLIzs5Gamoqhg4d\nynQoYgmFQjg6OoLL5WLUqFGws7NjOqQmVq5ciV27dkFJSb7/nLvCwshnz56he/fumD9/PgYNGoRF\nixahpqaG6bCade7cOfj7+0t8vlN/K7y8vDBw4MAmj6tXr3ZmGK0maaEX1T5VVVXw9fXFd999By0t\nLabDEUtJSQkPHjxAXl4e7t69K3dL3cPDw2FkZAQnJye5nyXHxcUhNTUVkZGROHDgAGJjY5kOqQk+\nn4+UlBQsXboUKSkp0NTUlNiXSx7weDxcvXoVH374ocRj2lwn3xa3bt3qzOE6jKm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"text": [ "" ] } ], "prompt_number": 10 }, { "cell_type": "code", "collapsed": false, "input": [ "c5 = plt.scatter(theta, r, c=colors, s=area, cmap=plt.cm.YlOrRd)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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dns4Pw7Au58nuE6fwefmKQ3+epFmzZkgkEqKiorC1MMfKgHyMf+MiNyM8PDzN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\nYW5OmEkNF5FVwWp+mDXJ4PZfIrly5aJ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xFmoONsv7ImCiUkXLC2FMcbDgLYecwxZCCD4M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\n7dsVez3E0iCE4NGjl38ObkUWFRmJZ30LANrUtSQuIalcm2Hp6uqSpVR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"text": [ "" ] } ], "prompt_number": 26 }, { "cell_type": "code", "collapsed": false, "input": [ "c6 = plt.scatter(theta, r, c=colors, s=area, cmap=plt.cm.autumn)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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cpYA1sXqcGzFSi5Z9HipXr8Gte740yKBWqrrcitCjSvO62ulMDWrUqKHVjI6Q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\nFO4/kFfykpbcv3OH7oZJVNCHrgaJPLh7J1/PN2LsONY9NyA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"text": [ "" ] } ], "prompt_number": 12 }, { "cell_type": "code", "collapsed": false, "input": [ "c7 = plt.scatter(theta, r, c=colors, s=area, cmap=plt.cm.binary)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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cnNCtWzfcu3dPpnkEAgGuXLmC7du3w9PTEydPnsS5c+cQHByM6upqiY5/8OABfH194erq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\n1dWVOUSyO9i1axd0dXVhaGiI/v37Iy0tjdM8RkZGrbb+5vF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Os+hyDSFy+uqrr6Crq4sB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\nCqMiTwghKoyKPCGEqDAq8oQQosL+D84h1DXFhGa8AAAAAElFTkSuQmCC\n", "text": [ "" ] } ], "prompt_number": 13 }, { "cell_type": "code", "collapsed": false, "input": [ "c8 = plt.scatter(theta, r, c=colors, s=area, cmap=plt.cm.gist_earth)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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wCRH3YslMlaGQK8hKzybyYTy3jz1l3+xrhBx+zc4tu9m4flOBAg+wedM20hL0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\n", "text": [ "" ] } ], "prompt_number": 14 }, { "cell_type": "code", "collapsed": false, "input": [ "c9 = plt.scatter(theta, r, c=colors, s=area, cmap=plt.cm.gist_heat)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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U6uX+0AcLKSwoC1PuQehr/nmNAFKpce/5v9jZ2VG5Qln878ale06l1tJp2UPuR6Yyob3h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\n1p389eAh23/Zw7LvfmDiO+9oO1qxaGfZFqnCREZGYmFsrNG0t8XRrFk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"text": [ "" ] } ], "prompt_number": 15 }, { "cell_type": "code", "collapsed": false, "input": [ "c10 = plt.scatter(theta, r, c=colors, s=area, cmap=plt.cm.hot)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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jzM2ZMn06ffv1Y9HajbQKteD753LiNYifV6nhlzBo8jdMLwfDiqdtYyiDzZXhwUvweaqT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\nqFWLR8bGvP87TgQeKxRMmDxZox+sra0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UHh0dJ3r1mkDlyu9x4cJuKlfOqGP29u/x+PEj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\nwIhkYxc+m/KFumOWCF5eXtjbl8XJyS7bfbS0tPj007asWbM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m8Y51DXVwcKBxixZMNTFh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"text": [ "" ] } ], "prompt_number": 16 }, { "cell_type": "code", "collapsed": false, "input": [ "c11 = plt.scatter(theta, r, c=colors, s=area, cmap=plt.cm.spring)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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4xESkUimmhka0bdeWgwtOfrCFXiqV8sucuXh06crY4cP4/uxVBjnUoJFNOeqU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\nMHDICGbPnZer/jsxMTGYm5vTrVM7DngfyVfG6Oho7O1suLO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"text": [ "" ] } ], "prompt_number": 17 }, { "cell_type": "code", "collapsed": false, "input": [ "c12 = plt.scatter(theta, r, c=colors, s=area, cmap=plt.cm.summer)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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ZZ5OmNgY496rN9JkFM7cu/OF7tE2gdc9aZe7/3/SZ1JjYqFSuHXuR77iOoSqxb2LkMkaj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\nj4eEhEBeXh42NjawsbHB+vWC3ZaT+nJUVVXh3bt3KC1lZpWprKwsuHm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VxaVLl6CgoFBv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\nu5ipxgSsFlgAAAAASUVORK5CYII=\n", "text": [ "" ] } ], "prompt_number": 18 }, { "cell_type": "code", "collapsed": false, "input": [ "c12 = plt.scatter(theta, r, c=colors, s=area, cmap=plt.cm.winter)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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jaPYrhL6Gx/ptdSRWacm/x44RFBT07lpkZCQLFy9C0bGX4TyEjE2ga1/YvAEiIt5f12ox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\n8AHtBpZJMslnQo0aNfjpp7HUqbOS5csX5lqt8ZwWHh6ORqNJv2E6FAo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"text": [ "" ] } ], "prompt_number": 19 }, { "cell_type": "code", "collapsed": false, "input": [ "c13 = plt.scatter(theta, r, c=colors, s=area, cmap=plt.cm.bone)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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82rfnwJZ19BkxtkjEsyLkSaVs++NXqtnZsHDjemrUqIG19f8OtVNTU9E3MCiz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"text": [ "" ] } ], "prompt_number": 20 }, { "cell_type": "code", "collapsed": false, "input": [ "c14 = plt.scatter(theta, r, c=colors, s=area, cmap=plt.cm.cool)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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HNv1BfHwMUqkUQyNT2rZpw8LThzNtoZdKpcyZ+yudu7gzbOgYzl//EceqA7Et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"text": [ "" ] } ], "prompt_number": 21 }, { "cell_type": "code", "collapsed": false, "input": [ "c15 = plt.scatter(theta, r, c=colors, s=area, cmap=plt.cm.YlGn)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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izMR/UStUvFjpS63SVVm8bRHu7u44OTm9vp6QkICx3BhpIXLJGFqZEBsbm2+7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\nCDyAsZUpdae04Oo3J3DpUAVpXjlX/kP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b2IiaHeqg/deCF0IInj94QsCGqwhDHZrM6Jzn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"text": [ "" ] } ], "prompt_number": 22 }, { "cell_type": "code", "collapsed": false, "input": [ "c16 = plt.scatter(theta, r, c=colors, s=area, cmap=plt.cm.RdBu)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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IHPntt9844u3NJq+11HKwZ8HcP7h04Tzv3kWTlpZGbEwM169dZcWyJTSsU5NZ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\n8+YTRSVloqVnQBSUlEl/x4EkMjKy2XIzLS8vjzx//pxkZmY2+VibNm0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"text": [ "" ] } ], "prompt_number": 23 }, { "cell_type": "code", "collapsed": false, "input": [ "c17 = plt.scatter(theta, r, c=colors, s=area, cmap=plt.cm.PuOr)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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ITpw8xZ27d2nZMl0QlZSUWLBgAR4ep9i2bTOOjnYsXbqYGzeuExERTnJyMlFR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\niCbtMycnhyxa9A1RUVEl+noGRFlZldjbO5JHjx61WG6m5efnk+fPn5O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CAGhpaSE7O1vo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\n", "text": [ "" ] } ], "prompt_number": 24 }, { "cell_type": "code", "collapsed": false, "input": [ "c18 = plt.scatter(theta, r, c=colors, s=area, cmap=plt.cm.Oranges)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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RB9HQr3jWcqWvJdDGMollC+dne55/KFy4MNo6OsTmQTh7XKqIEoFixYppfvAM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\n61ZpDvlcEEIQExOj7RhVWlRkJB0b2wHQrqEt8YlJFdoMS09Pj2yVhkz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