{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Python: Static Data Visualization\n", "\n", "The foundational package for most graphics in Python is [`matplotlib`](http://matplotlib.org), and the [`seaborn`](http://stanford.edu/~mwaskom/software/seaborn/) package builds on this to provide more statistical graphing options. We will focus on these two packages, but there are many others if these don't meet your needs." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Resources\n", "----\n", "\n", "- [Matplotlib tutorial](http://www.scipy-lectures.org/intro/matplotlib/matplotlib.html)\n", "- [Matplotlib gallery](http://matplotlib.org/1.2.1/gallery.html)\n", "- [Seaborn gallery](http://stanford.edu/~mwaskom/software/seaborn/examples/index.html#example-gallery)" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "import warnings\n", "warnings.filterwarnings(\"ignore\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Matplotlib\n", "----\n", "\n", "Matplotlib has a \"functional\" interface similar to Matlab via the `pyplot` module for simple interactive use, as well as an object-oriented interface that is useful for more complex graphic creations." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Types of plots\n", "----" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.hist(np.random.randn(1000), bins=np.linspace(-4,4,11))\n", "pass" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.boxplot(np.random.random((6,10)))\n", "pass" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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r/8nY5mDQoMFkZmZx8uTJqmvl5eXEx29hxIixtT63evV3TJgwlmHDhlYbZNq3\nb09s7Cyysq5w8eJ5u+VISkpg3Lja27uT3r173RMhJZxFUVFRtQOatwgICCQ9PYsNG+JZv34zFRVm\n5s1bTIcOHeusz8fH165ovwaDAR8f+8LJCyoRysBOYmJ64enpz6pVP5CdnV3tnqIoHDhwgJUrVzNv\n3qImc217/PEnMRrN1Q6alZeXU1RUwuOPP9UkMjSUWbPmEhoaRWLiXvbs2c+JE2eYP39JrV5QZ8/K\naLXRdZ6iHjVqFCdOHLVbBkcHDje3tmVdLS8vJyvrWqM4PfTvP4BDhw7XuF5cXMrw4SOZOnUG06bN\npGfPGLvqGz16LIWFts2fJSVlIjqqg7Stt7qRiYnpRc+eMRw8uJ/9+5NRqVRIkoReb2DAgMH06zes\nSeXRaDS88MJfSE4+SGrqESwWhf79hzJx4uRWFfYgKqqL3QexTp8+yfTpk22W8/PztXufR5Ja1MHL\nJmXbtnhcXCQCAwM5eDCJQYOGERZm32lqe3B1daVTp0g2b45nwoTxlJeXk5CQyJAhjg3UZrOZhIQd\nlJeXEBERTllZKbm5uQQHB9fwmDMYDERERLVoT7qWiOgtB5EkqcXNOIYOHcbQoU2riJqLujyQ7qRH\nDy0XL56zSxlYLI4pA7PZhrtLK+HUqZNERYVXue4OGjSQ1avXOVUZAAwYMIiePXuxf38S7u4eLFiw\nxKE9NaPRyMqV3zBr1vRqKzidTseHH36Ip6dnVSj3iooK9HoTv/jFI079DvcCQhk4yLVrVzlz5hQu\nLq4MGDAQHx/f5hZJYAWLxYJKZd/rHRgYzLVrWYSG1m2vvlVvba6PeXl5ZGVdxdvbh8jIqBa/OsvI\nuMLs2dX3tzw8GifRvbu7OxMm2F7RWePHHzcxb15sjfzi7u7u/OY3v+Hll1/GxcUVHx9funfvSWzs\nvHvqTIezEMrATo4ePczevXswGHQEBgZgsVg4eDAJX19/YmPnExraqblFvCcwmcwoimJzoE1NPc7Y\nsVPsqnPw4KHExa3hvvtsR1Tds2dPDf91WT7N5csX6Ny5I9HRXSgoKGD79s24u3szZkzNQ3UthcDA\nIDIzr9K58+1312AwNqNENVEUBbPZVEMR3EKtVjNu3DjGjJni9Gi89xpCGdhBQsJOTpw4QkhI9Uxm\nt8JGf/31FyxevIzIyLrjrghqkpeXx48/xldt4s6cGYuHh0et5YcNG8nBg8kMH167WUxRFHQ6g11h\nvaHS9BfgmSRzAAAgAElEQVQd3YM9e/YwZsyYWsudP38Bnc5E+/a3TU/Hjx/D1ZVqgerCwsLo168f\nV69eJT5+Y4sNQzFo0BDWrl1Jz55aIiLCSUhIJDKyZfnll5QU23QljYyM5OrVTLp1695EUrVNxFrK\nBgUF+Rw8uLeGIriTyMgIVq1a0YRStX7S06/w6qt/5g9/eJq9exM4fHg/27Zt5re/fZK3336DiooK\nq8916NCRigojGRkZVu8risKGDRsZN672g0vW6NmzF76+7fnhhzVcvVo9p3NpaSmbNm3mypVMJky4\nvdowm83k5FxlzJjRVuvs1KkTQ4YM4MSJVIdkaSokSWLBgp/g7u7DsWNpTJw4nV69nJcFzxloNO61\nvgu3KC0tFQlunIAIYW2Dr7/+Ly4u2LRBFhQUMGTIKAYNGuKUdltDqOL6cvHied5663VUKuumHovF\ngkbjwWuv/QNPT0+rfbF7905u3Mhj6NAhBAQEoCgKhw4d5vr1HCZMmFrvnBGKonD4cDL5+TmoVBKK\nIuHm5sbo0eNruAwnJe1m3LiRVv3o72T58m+ZMcN6SGZHacvvRW2sX/8Ds2fPqPV+XNxm5s5d1IQS\ntTxECOsmoKAgjw4dbMfVDwgI4MSJY05TBm0VRVF4//13alUEUKl49foK3nvvbf7whz9ZLTNu3EQs\nFgsHDuzl2LHKQ2sDBw5hzJiGJTuRJIkhQ+zzzDIYdDYVAYCnZ+1mr3sVg8FAVtY1JEkiNLRTnW6g\n0dE9SEk5ysCBNU/Uy7JMaGh4Y4p6zyCUgQ3sTXAPjge0uxfZu3cPJSVFaDR1e62oVCouXDjHjRuF\nBAVZPxCmUqkYOfK2jb+srIxvv11OcXERFosZNzcNkydPa7S9HHtX1S3dq6gpyc6+zqeffsiRI4fI\nyclGkiQ6dAhlyJCh/PKX/w8/v5r7A7169ebIkUPExW1m+PChtG/fnqKiIg4ePIivbyCjRtl3elxQ\nN0IZ2MCRgytqtehOW+zdm1ilCMxmM+XllflyPT09a5jiXF1dWLduDc88U3d46tLSEr744lOuXs3A\n19en6m+mKAqffPIefn4BzJw5h759+zn1u7i6aiguLsbXt273Yls279bI0aNHOHr0MIqi0L17T0aP\nHmtT6V26dJFnnvkt2dlZSJJU9XfKzc1m06YNpKYe5d13P64RmhoqN7sHDBhEcvJ+UlKO4+3tw9Kl\nSyksbHt921yIDWQbBAWF2DXjz8vLEyYiO6ioqMBiseDm5sb48eN5//33efvttxk+fDgqlarabFul\nUlFWVneCm8LCAv72t79QXl5CQEC7aspbkiT8/f2RJAvff/8V+/btcep3GTlyDN99932dZc6dO0eH\nDm3H7dhisfDOO//gxx/jMBp1mEx6Dh7cw+uv/wWdTlfrc4qi8MorfyIn57pVpSFJEpmZGbzyyou1\n1qFSqRg+fBQzZsQyZsx4ccLYydjVm1qtVgW8BjwM+ABbgF/JspxTS/lOwLvAVKAC+AH4P1mWa39b\nWiizZ8/l/ff/RdeutZsaFEWhvFxHnz7OnXm2RdRqNT4+PrzzzjvVPEC6d+/OtWvXeP7556sFIqsr\nT4GiKPzrX2/i6+ttc1bq6+vLxo3rCA0NIzIyssHfAypXjVu2xBMa2pHZs2uGLM/MzGTbtp0sXvyA\nU9prCfzww3eoVAr+/rfNOT4+PpjNZr766gsef/xJq88lJSVy4cK5OuuWJIm0tBPI8mm02p51lm1M\nFEXBYrE4JUdGa8LelcFfgAeBZcAYoDOVA3wNtFqtG7Ad8AdGAIuB2cCbDRW2OfDx8WXixClcu5Zl\n9b6iKFy6dJllyx5tYslaJ56eXvzqV7+y6goYGhrKggUL0Ov1QOUqYujQ4bXWtXfvHsBit03e39+X\nuLi19ZK7NsrLdfzud7/j8ccfZ/v27eTl5XH69Gn++Mc/Mm/ePHr16uvU9pqbixfPW93vUavVXLuW\nYTXtJ8CuXdvtqt9sNrNp08YGydgQjh8/ypIl85k/fyYrVnzdbHI0BzZXBlqt1hX4NfCULMs7b15b\nAlzSarXDZVk+cNcjDwAhwDBZlotvlv8z8EunSt6EDBs2Ej8/f3bv3kVJSSHe3t6YzWZKS8sJDg7h\n5z9/isBA6xnHBNXp0aMHAwbUnmchNjaWVatWYTabCQwMZuDAwbWWPXBgr90Hy26RmZlORUVFnQfb\nHKFTpzBSU4+yceNGNmzYgLu7OwaDAYvFQkhIB7p0aVmHuBrKLUVtDYvFjE6ns3oSWKer/bmaZZtv\nH2D9+rUUFhYAsHXrZu6/f1mzydLU2GMm6g94A7tvXZBl+YpWq71M5SrhbmUwFdh2SxHcLP8/4H8N\nFbY56dEjhh49YiguLuLy5Uu4uLgSHd2tKkCWNYqKbpCfn4e7uwcdOnQU8VIAT0/rYQVuUZnFzIPC\nwhssWFC373hOTjaBgY6lF/X09GDv3j1MnjzVoedq44EHHiQpaTfFxUU3I9jeHvQmTpzsNKXTUqjr\n+6jVrrXe9/Ky71CYoih4ezdfHoKoqC4kJu5CURSCg2s/aNoWsUcZ3Eo8e/Wu69eAMCvluwM7tFrt\nK1SalRRgDfCiLMv2Tw9aKL6+fvTt27/OMgcP7qOoqIDg4CBCQztSXl7Czp2pmEwWRo4cU2cmp7aO\nXm+8GUTOumIsKysjP7+AZcserTM6rKIomEyOx9Fxc3Pjxo1Ch5+rjb59+/PCCy/x8ccfcOHCOSRJ\nws/Pn4kTp9R6RqI107t3P06fPoG3d/UVmV6vp0uX6FpNdnPnzmfbts21mpFuodG4s3jx/U6T11GW\nLXsEf/925OTksGzZw80mR3NgjzLwBCyyLN/tUqMHrE3zfIHHgM3AQqAT8AEQBDxSb0lbAZWhEFYz\ndeokOnfuXO3eoEGDMJvNrFz5AzEx/ejc2ZoebfsMHjycnTt3MXmy9XAR3333PW+99W/8/OpWmJIk\n1cuV12QyOX3mOXNmLNOmzSQhYSf5+XlMnjyVgIC2aTacOTOWvLwcLl26QHBwEJIkkZeXh79/IA88\nUPvg2bt3H3r37kdqakqtCkNRFAYPHmoz21ljM3v23GZtv7mwx25RAahuehTdiQYos1LeCOQDD8qy\nnCLL8kbgaeBBrVbr2Jq+lbFtWzzz5sXWUAS3UKvV3H//TzhxIoXy8vImlq5l0L59e0pL9Zw4cbLG\nvf379xMe3sWmIrhFu3YBDrdfUlLKsGG1b0rXF7VazaRJU1i8+P42qwhu8dBDP+PJJ5+mXbtg/PwC\nefDBx3jqqadtmkFfe+3vdO3azerqwGw206tXH15++bXGEltgA3umVrcignWkuqkolJqmI25eq5Bl\n+c7jmacACYgE6lyj13batKVTVlaGv783AQG2B6iFCxewY8cOYmPrjmbZWvvCFgsWzCYlJYU1a9ZU\n+YqbTCZ69erFqFHWXQqt9cXo0SNISEiweZr5TiIiwune3bnJW5qalvBeBAX5EBPzC4efWbPmBz77\n7DN27txJZmYmkiQRHh7O1KlTeeSRRxw+O9AS+qKtYE/PpwKlwDjgWwCtVhtJ5cCeaKX8HuAxrVar\nvsO01AcwAZdtNdZag3Bt376FefNq+ppbw93dnSNHUvjxx508+OAjVlM+tvWAZGFh3QgL61bjurXv\nXFtfjBo1ifj4rXYrg+LiYqZNm92q+7UtvBeLFz/E4sUPVR0wvGU2cvQ0cVvoC2fhDKVoUxnIsmzQ\narUfAm9ptdp8IJfKPYBdsiwn33Q9DQAKZFk2Ah8DTwFf3dxEDqPyjMH/ZFl23s5dC0OlwqEZanh4\nGJ9//hkJCdt54YWXmTTJOd4t9xJqtZqf/vQJvvjiE/z96w4JUVpaxpAhI+jff1ATSVeTS5cu3Azh\nYEaSwGIBlcqF0aPHWw3B0NZxZswmRVE4cuQQmZmXUavVVaYoDw9vxo2b6NBv817F3jXZizfLLgdc\ngXgqB3yAkcBOYAKQKMtyjlarHQv8CzhC5apiOfBHJ8rdAnHsxb71chYXF/POO28xduyEGiGSBbbp\n1q07TzzxFMuXf0lFRWmN/YaKigpMJjNjx05k6tTawyA3NkeOJFNQkMP48dWT5yiKQmLiLvr1G9Tm\nziQ0FefOyRw5cpD+/fsyceL4avfKy8uJj1+Pn1+7arkoBDWxSxncNPc8c/O/u+/tBtR3XTsDNN8v\nrxlwNF3gLXspwNWrmaxd+0OzutQ5ixMnUpHlU1R6FFfi4qJh/PiJ+Ps3jv9AZGQUf/rTK5w+ncaO\nHdsoLy/DYjGj0bgzYMAwJk+e2qxnPEpKirly5SLjx9eMrilJEuPGjSE+fitRUV1FhFMHqUw5eo6Z\nM6dbve/p6cnEieNJT89gy5Y4pk+3z5QLlQEQk5J2I0mVaVbNZjPe3n6MHDmmTYaqEJGenET37rXH\nXLdGUlJS1Q9fpVKRnX29McVrdIxGI999t5zu3aMZM6b6+QCTycSOHVvo0KEzo0bVnlayofTs2Yue\nPXs1Wv31ZffunYweXfuZCYAhQwZx4MBeRoywnjWtNWA2m0lM3EVR0Q0URaF3736NmorSaDRy7Ngh\nZsywrgjuJDw8DJ2uguPHj9k8JwRw8OB+SksLmTFjSrUVe0FBIevXr2Lo0JF07ty28iiII7FOokuX\naI4fP25XjPv4+HhOnDhR9VlRFCIiIhtRusZnxYqvGD9+DJGRNT11XFxcGD16JGZzBYcPH2wG6ZoX\ns9lo00umffv25OZajfvYKti/fy9ff/05Pj7u9OzZjZiY7pw7l8aXX35CQUF+o7S5detWRo8eZXf5\n7t27c+GCbLPciRPH8PHRMGPG9Bqm24CAdixZspjU1CMUFbWtLVChDJzIsGFjWbHi+zoVwqFDh3jl\nlVeqlYmIiGLWLOekRWwOjh49Qu/ePesMzQGg1Wq5cOGs3Ulh2gpt/esePXqE/Pwshg8fho/Pba+W\nrl27MGLEMH74YUWdMY3qS05OTrX27MHLy9OmckpPv0T//nWvHubMmc2+fUkOtd3SEcrAiQQHBzNw\n4HCWL/+GxMTEaoNeZmYmr7/+Br/85S+5fr3SJKQoCu3bB/P8839q1TbI8+dlOnWyL2Z/9+7RpKQc\nbmSJWhb2KD+DwdBqkyOlpaXSrVtNN2Go3BMZNmwIO3b86PR267O/0qtXDKdOpdV6/+LF80RHd7VZ\nT+XvtW1lNmydb18LJigoiFmz5pOdnc3336++mVQd/P0DeOyxXxEV1Y2dO7ej1+sJD4/gpz/9eaPF\nKqpMEn+A69evoVJJSJIKk8lEv36DnJwKsu54M3cSGhrKwYNH7qlEQL1790OWZbRaba1lDh06xIQJ\nrc/nIj39ik23Xnd3d27ccL6pyFacI2toNBoqKmo//X/+/DlmzrTP68jLywu9Xt9m3FaFMmgkQkJC\nmDKl5o97ypTpTJlie8OroZw8mcqZM2kMGjSA3r2rD0InTpzk4MEkpk2b3WgePnVxrznMdOum5dix\nIwQHB9OuXc3+vnIlHXd3b6s5Hlo6165lEhQUZLNcY5gG67MyKCwsrDNciCRJdstaV8DF1kjb+SaC\nKo4dS6GgIIeZM6cTElIzDG+fPr2ZPXsmmzevp6joRoPbc+R3XplFqo0b0a2wcOH9nDlzgV27Eigt\nrUzlmZuby44duygpqbA6cWiJFBTk8957/+TVV1/i888/xcfHj8JC2xupjeEyWx/T6smTafTvP7DW\n+3379iM5+ZBddZWVlbeps0FiZdAMmM1mli//knPnZIxGA4GBQcyYEeuUhO06nY6LF2WmT59WZzlJ\nkpg7N5bNmzexaFHD0jKq1a4oimLXD/7EiZMMHjysQe21RiRJYtasORiNRvbvT6K0tJTAwEAWLlza\nas4W/Pe/n/PZZx9z40Zh1Qy6Y8dQYmNjiYqq3exoNBrx8nJ+DKG+ffty8eJFunSpGc7FGhaLBUly\nqVOJhIR05NChu1O01ESn0+Hm1rZyVYiVQTPw5puvcfbsKVxcVHh4uFNeXsL//vcfjh8/2uC6d+/e\nyfjx4+wqK0kSQUHtyc7OblCbo0aNJSXFtuyKopCbm0+nTtajut4LuLq6MnbsBGbOjGXYsJGtRhEk\nJu7m/fffoajoRpXMkiRx/XoWmzbFkZGRUeuzycmHmDSp7slJfRgwYAAnT57GZDLZVX7Xrt2MGTPB\nZrnevfuxbduOWu+bzWZWrVrNuHET7Za1NSCUQRNz/HgqeXnZNZaX3t5eTsn9WlFRirt73dnE7mTw\n4EEkJ+9rUJsdOnREo/Hk8uXLtZZRFIUdO3YxeXLrMIe0dkwmE9evZ5GTk+MUe/2aNSvR63VVn4OC\ngliwYAGLFy9GkiS2bNnG4cNHqg3M+fn5JCYmMXnyzDr3Q4xGIzk5OWRnZ2M0OnaS/777lhAXt9mm\n6+ru3Yn06TPArvS0kZFd6Nw5klWrVpORkVl1vTL+UQorV65h9uwFNl2pWxvCTNTEpKQcrvWHkZeX\n2+D6Hd3QUqlUOGMPbNKkaSQlJZCQkEi/fn2qNkoVReHUqdNcv57N5Mkz78mAbE1JUdENPvnkAw4f\nPkReXg6SJBEa2pnhw0fy+ONP1tvGnZGRXvX/Go2GP/zhD/TrV2nWnDVrFh999DFz5ixkx44fMZmM\nKAqEhnbmsceerHX1c/aszIkTKVgsZvz8/JAkuHGjCFDRq1c/YmJsnyb38PDg/vsfZsuWjRgMOgYN\nGlgVRt5gMHDwYDJ6vZHhw0cTGmqf+zNA167d6NKl0g366NHjVeEoevfuy3331Z6XuzUjlIGTMRqN\n7NmTQEVFGVCZjWvs2AlVScI9PDwwm81W7ZatfTNq9OjxWCwW9u5NRJbPA5WbywMGDGbiRLEiaGxy\nc3N5+ulfkZV1FUmSqiYGWVlXWb36e9LSTvDOOx/Wa0Z7Z27jgICAKkUA0KlTJ/z92+Hj48u8eQvt\nqm/9+tX4+noxcqT1REPnzp1j1arjLFy4xKYpzdXVldjYBVgsFvbtS+LUqcqDjWq1mnHjptQ7s50k\nSfeUC7RQBk4kKWk3+fnZjBgxvGr2r9fr2bVrKy4ubkybNovZs+eyf/8e/Pyq+2abzWanRK101FNH\nURTy8vIa3O4tVCoVY8aMd1p9bYm74/c7mzfeeKVKEdyNSqXizJlTvPPOWzz7rOMBhAcOHMyxY5Up\nK4uKirh06VLVpnFhYaFD+0AbN64lMrJznavEbt260b59e9auXcWCBYvtqlelUjF6dM1ggAL7EMrA\nSSQl7cbHx52BAydXu67RaJgwYRzZ2dls2rSeWbPmMn/+ItauXYW3txdqtZqysjJ8fdvxyCOPNVgO\nV1c3jEaj3auMo0ePUlFRzrFjR+nf374gewLH2LlzB1u3xpGRkY5KJREeHsXcuQsYNmyE09rIyEgn\nLe1EnYpGpVKRnHwAg8Hg8OrgiSd+xYED+zh16iTl5eW88sorTJ06FVdXV9LSTvP++5/aVU92djYq\nlWKXubBdu3b4+npy5crlVh+7qzUgNpCdgNFoJD8/u9Yj+VB5CM3Dw428vDzGjZvIX//6JjEx/YiI\n6MLixcv4859fdcqG1LhxE9mzZ6/d5WVZZvToURw/fpjc3IbvWQiqs2bNKj7//COysq7i4qJGpVKR\nmXmF99//l1NDNMTHx9m1+Zqbm01y8n6H6/fy8uKzz/7HwoVLCA+PoLi4hISERHQ6E++997Hde1X7\n9u1mwADbUUNvERMTc08GN2wOxMrACSQm7mL4cNu+80OHDmHnzkTmzFmAt7cPS5c+6HRZvL19CAgI\n4syZM/To0aPOshs2bKBr18o4LP3792PXrm0sXrzU6TLdqxgMBjZuXIdaXXOglCRYvXolEydOcYrZ\nyGw221WPSqWqOvTmKL6+frz88l+B+p++NRoNDn1fSZIwGp0f5E5QE7EycAIVFWV2RU9UqVRWBwZn\nM3LkGJKTj7BhwwYqKmrmlb169SrffvstISEhtG/fvkq2srISzOa2FXyrOYmPj0Ovrz2vb0FBnl0H\nnOwhKqorZrPtWD2urm707t2nwe3VNwxDfdxc1Wq1eC+bALEycAIt8eBQQEAg0dGRxMXFoVarcXV1\nRZIkKioq8Pb2ZtiwYTXkDgxsx9WrmYSH18xJIHCcwsLCOvMYqNXqqgi2DWXq1OksX/4l2dlZdZaL\niendrElZVCrHfyuKYmmRv7G2hlAGTkCtdkWn09k87KUoSpPNcBTFgpubG4MG2Z8AXqPRUFZW1ohS\n3Vv07t2XLVvicHOzvplvsVjqjJPjCCqVikWLlvDRR+/V+o55eHiybNkjTmmvvtQj0GibCwjXUhE9\n7ATGjp3Avn22l/vHjqUycODQerWRnn6F5OQDdicJqc8MrLS0rOrAjqDhDB48hJCQDlbvKYpCZGQX\np67C5s27j8ceexI/P/9q4Z0tFgvBwR147rkXGTy4ef3mvb19HEp0YzKZcHdvfdFcWyNCGTgBT09P\nXF01dS75S0tLuXYtm86dwxyu/8CBJDIzLxAWFsLKlV/b9WPq1CmCvDzHYsiXlpbVOngJ6sfTTz+L\nu7tntTANJpMJHx8//u//nnd6e4sW/YQVK9bws589wYQJU5g0aRpPP/0sX3+9skX44E+YMIUDB5Lt\nLp+cnMz48W0rBlBLRWphKQiV3NyS5pah3mzatB53d1eGDRtataxVFIWjR49x/XouCxYstnu5GxTk\nw62+iItby9SpkwC4ceMG589fYeTIuhPLK4rCf//7KUOG2Gcm0uv1ZGXlMXv23Gp1JCUlsmHDOnJz\ns7FYLPj6+jJq1FgWLvxJk52YvrMvGopOp+PTTz8kLe0kPj6+LFmylMGD67dasxe9Xs+aNSs5f/4c\nkiTRq1cfYmPn2cyLbA1n9kVzkZy8n5KSAmJiYuosd+7cOdRqd0aNsq7E2kJfOIugIJ8Gb6oIZeBk\n8vPz2bt3d5XXkMlkYtCgYQ6vCO580des+Y5Zs2YgSRKpqccJDOxg12nlpKTdlJQUEBZWd9uKorBv\n3wEefvjnVfseaWkneeONVzh7Vq6RUcpisdCpU2ceeuinLFz4E4e+V31w1o/eYDDwwAOL2LcvqWpD\n0s/Pn1dffZ0FCxY1uP6moK0MgEeOJHP27CkGDx5UI1ZXeXk5hw4dJiIimhEjak9431b6whkIZdCG\nufNFLyq6wY4dW9BoNPj6BjBmjH0hqgG2bt2MXl9Gly7W482bzWYOHEhm/vzFBAdXJsI5ceI4zz77\nG5thKtzc3Hjiiad46KFH7ZanPjjrR//ZZ5/w0kt/rOGZ0rdvfzZt2tYqPFba0gBoNBpJSNjBjRv5\nN/tewWKpPM8wYcIUm+kk21JfNBRnKAPhTdQK8PPzZ8GCJfV6dtq0mRw/nsqxY0dRqSAqKgI3NzcK\nCgrIyLiKn187li37KV5eXkDlrP+VV/5kV7wig8HAf/7zEYMHDyEmpne95GtKTp8+aXXAv3DhHPn5\n+VVnLgRNg6ura5OkgBXYh1AG9wB9+/ajb99+FBTkc/p0GoWFpYSEhDF58uwag+PGjeu4dOmC3bNk\nna6CFSu+4dVXX28M0Z2Kv3+g1YxsAQGBdh0aFAjaMkIZ3EMEBATWuhl3i61b4x02lyQnH6C8vLwq\nTHdL5ZFHfsrGjWu5du1q1TVFUZgyZZpNk4RA0NYRrqWCatw5UNpLdnYWly9fbARpnEtYWDjvvPMB\nY8dOIDg4mK5du/GLXzzFSy/9tblFEwiaHbEyEFTD0bSDUBmOo77Bz5qakSNHM3LkaMxmMyqVqlVs\nGgsETYFQBoJqeHt7kZPj2DMuLq7VUgrq9Xq+//5bjhxJpqioCFdXF7p27caCBYvo3r3uSKpNhbVM\ncwLBvYxQBs2MwWBgx46teHpqMBrNtG8fTP/+9scTcjZ9+vTnwoXzDs2Ye/aMqTpHUVR0g+ef/z15\neTlVA65eD6mpKRw7lsKyZQ8ze/a8RpFdIBDUH6EMmpkff9zM0qWLqzYw9+8/wJkzp9m3L4uLF9OR\nJImwsHDGjBnfJCaNhx9+lC1bNqHX6+wqb7FYmDBhUtXnN954lYKCPKszb0mCb775Cq22J926aZ0m\ns0AgaDhCGTQz3t6eVYqgrKyMffv2cuDAQQIC2lVlPjt58hjx8XH06BHDAw88XK8wBvYSFhbB1Kkz\n2LBhjU3loygKPXrEsHTpQwBcunSRCxfO2TDBKKxevYo//OFFJ0otaEqMRiMuLi5iv6WNYdeootVq\nVcBrwMOAD7AF+JUsyzaty1qtNg7wlGVZRJuywq0T4Hl5ebz44ouo1Wo6dAipVsbDwwOA8+fP8Mor\nf+KFF15uVFfIF198mfLyMnbs2AZYP6GuKArdumn55z//XSXL1q2b7Yq9dPHiOWeKK2gCFEXhgw/e\nZfPmOK5ezcTf358xY8bzwgsvVb2fgtaNvVPMvwAPAsuAAuAj4AegTqd1rVb7BDATSKi/iG0dNZcu\nXeKtt96yOdtydXXFbDbzz3/+neef/7PTJDh8OJnU1BTKy8tutuPGuHET6devPzt2bOPkyROYTLe9\njKKiujBy5Bgef/zJqpPLUDljtGe2aDSabJYRtCxefvlFvvzyP1VxqvLz8zh//hwXL57n669XinwD\nbQCbykCr1boCvwaekmV5581rS4BLWq12uCzLVgP5a7XaaCpXE/ucKG+bY8KEybz33tsYDAabyXGg\n0gsmPz+H06fT6NmzV4PaVhSFr776HJVKoXPnjtXulZUVkZ2dxXvvfczly5c4evQIJpOJiIgoxo4d\nZ/XHHxraCZPJZNOM5e/v3yC5BU1LdvZ11q79oUbAQkmSSEpKZOPG9cydO7+ZpBM4C3tWBv0Bb2D3\nrQuyLF/RarWXgTFADWVw06z0P+ANQAt0dYKsbZbi4mK7FMEtfH19+fHH+AYrgw0b1uDpqcHX17fG\nPS8vL7p3j+arrz7jF7/4NTExttuaM2c+GzeurXPz2Ww2M3jwsAbJ3RgoisKOHVspLKwMmqYoMHjw\ncAhmI1kAACAASURBVKKiujS3aM3OunVryM/Ps7rqs1gs7Nu3RyiDNoA9a7vON/+9+2jqNaC22Mh/\nBCyyLL9VX8HuFQwGAzk5jufBzcq61qB2LRYLV65csqoIbqFWq1GpJNLTr9hVp6urKzNnxtaadlFR\nFNq3D2bRovoF3WssFEXh66+/JCQkkGHDhjB06GCGDRvM8eOHSU092tziNTu3wrHXhiQJE1FbwJ6/\noieVA/vdv3A9UGM6q9VqBwFPAw81XLy2T0lJSb1SVBqNhga1e/DgfkJCgmyWCw8PIylpt81yt1i8\neCkLFy5Bo3Gvyu5VmfvZQteu3fj73/9Z5SXVUjhyJJnu3aPx8/Ordn3AgP6cPHmsmaRqOSxc+BM6\ndOho9Z5arWby5ClNLJGgMbDHTFQBqLRarUqW5TuNhhqgWvZ0rVarAb4CXpRl+ZLzxGy7eHh4UJ+c\nEg11L83JuV5j8LOGJElYLNZn+rWxePFS5s9fxMaN68jKuoaLiyszZsxyar7f+lBaWsKlSxcJCAik\nU6fOVdfT0y8zePAAq88EBQWSmZlRr3SlbQV//3YsXfog77//brVJiKIoTJs2k0mTpjajdAJnYc+I\nknHz345UNxWFUtN0NAzoAfxdq9W+efOahkplUgzEyLKcWVdjQUH3WihhHwIDAx1+qmPHDg3qqy5d\nwjlz5kydZqJbeHt71KutJ574aX1Es0pDvmtRURGvvvoqx48fv7kSUxEdHc1DDz3EpEmTcHevPX2n\nm5sbZ86kkpi4DZ1Oh0qlwsvLi+nTp9OlS/PsJzTHb+SNN/5Kz57dWLFiBRkZGQQEBDB16lSef/75\nRj33Yot7b7xoPOz5K6YCpcA44FsArVYbCUQCiXeVPQh0u+va60A4sJTKfYY6uRczF3Xt2oOzZ9Ps\njpdTXl7BuHFTGtRXMTED2bVrt01lkJmZycSJM5r179KQjFY6nY7f/vZJCgoqN0Bv+cRnZGTwt7/9\njcLCUtzdfSkuLrbaFykpRwkJCSYo6LZJTVEUvvvuezw8vHnggYeb9PBVc2b3mjlzATNnLqj6rCgK\nmzdvo7i4ELPZQq9efYmIsJ5RrzEQmc5u4wylaFMZyLJs0Gq1HwJvabXafCAX+ADYJcty8k3X0wCg\nQJZlPVAtlvHNFUFFWzIb6fV6tm/fSnl5KYoCvXv3rcr0dSvqpyPJ4ufPX8if/3wIX1/7/qAqlZqx\nY8c7LPedqNVqOnUKo6ysrNpZgTuxWCzodIZW7VHz/fffVIuTdCeKorB69Ur+9a8P+PLLT5g0aUK1\ncufOncfNzbWaIoBK01lERDglJSWsXv09Cxe2rA3xpkBRFH744VsmTBhPSEild9j+/QfIyclhyJCW\n5y0msI2967sXb5ZdDrgC8cBTN++NBHYCE6i5UmhzXLp0ke3b4xkwoB/u7qEAXL58lnXrfqBHjx5o\nNK4oChgMJgIC2jN+/CQbNYKnpycPP/xzli//HG9v6wMzVP4AS0vL+d3vnnPKbHTBgsV89tnH6PV6\nAgICqt3T6/WcO3eRxx9/ssHtNCcnTqTWueJKT79MRkY699//MJs3r8doNCBJlaalsrJS+vTpU+uz\nPj4+yPK5VpHYx9kcO3aEkSNHEBISXHVtxIjhbNwYZzWbnKDlI9Vn87IRUVr6su+zzz5g+PDbMx9F\nUdi7dy8zZsyoYfvPzc3l6NHjLFjwE7vqPn/+HN999zWFhXn4+vpW/aAURaGoqIiQkI787Ge/dGqu\nXkVRSEpK5MyZNCoqKv0BXFxc6dw5nOnTZ7cIz5+GmAOeeupxcnOza72v0+l46aW/MnDgkGrXv/ji\nkxoH8axhNBoxGBTmz19YL/kcpaWYRrZsiWPWrGk1rh89eoz27UOrhTRvLFpKX7QEgoJ8Gqx9RaA6\nBzh2LIXIyOoeMWlpaUyZMsXqJnBQUBAxMVoOHTpo19I5OrobL774Fy5dukhS0g7y82+gUqnw9PTi\nyScXEBQUbLMOR5EkiTFjxjFmzDin190SCAgIrFMZaDTudO169zaX/a67rq6u3LhRWG/5WisqlQqj\n0VjDHFpYWEiXLj2bSSpBQxDKwAHS06/QpUt1F0O9Xk9ISEgtT0Dnzp3Ztm0nQ4YMo6Agn6SkRCwW\nM0FBwYz4/+2deXRU15Wvv1ul0ogmJCFGTUi6CIQQg5lBZjAgxDwYjMFz2jiO2/FynDj9/JJud7sT\nx3np97o7dpyYYBzjtjGY0Yh5EggESBhihgsGJIEGkITmsVRV74+ShIYq1YCqNJ1vLS8v3XvurV2H\nW2ffc87evz1pqklZh/DwCMaPHyXeejqAuXMTuXz5ksmIF6Pq6gh8fU3JY1j/otUbl0QmT57Gvn37\nWbhwQdOxuro6iotL6dOnTydaJrAX4QxsYODAQdy/f59+/R6+oVsjI1Ffr2XTpk9QqyWGDZNRq9WU\nlJTw6acfExERbdW+gsAyxn0OBTc3dyIjo5AkiSlTpvPddxc4cuRAC4eg1+vx9w/gjTfeMnkva+VB\nKioq6NfP/MtAT6VPH2+io0ewffsuvLw80Gq11NRoSUxc1NmmCexEOAMbGDv2MTZs+KiFM7C051Jb\nW8vly39nwYIFLTYy/fz8GD06ntzcXA4cSGbOnESH2d3TMYY47gL0xMTIVFeXs2vX1/TvP4gJE6bw\n6quvExcXz8GD+ygqKsTV1Y2RI+N46ql1ZuWXJ0+eTkrKYQYPbn/t++7dXF591bo9oZ5GZGQ0kZHR\naLXaBukSIUvRnRHOwAYkSSIhYTYnThxmzJh4NBoN1dXV7V5z+PBhEhMTzUa0DBw4kO++u0h1dbXQ\nhbeTnTu3MWXKhBYZ1VFRUVy9eq1pv8bWfZGoqGhSU0+0G3qbm5tHfPyYXl9P2ZYwakHXRbhyM+j1\nem7cuM7Vq1daDPhRUdGsWrWOrKxcrlxRqK6u49y582bvc/fuXYsROcOHx3DkyIEOs7038eBBEb6+\nXialNWJihpGbm233vZ955kVqaupRlBtNOktgrEh37dp1wsIimT5d1GwS9AzEzKAVBoOB3bu3U1xc\nRHBwEBqNhvT0M6hUahYuXIq3tw99+vRhyZLlTdecOXOSlJRTTJkyqWmqrNPpSEk5ibu75bd9V1dX\nKisrHPadejJnz54hIWGy2fN9+/rz4EERffvaLvkhSRJPPbWOiopy9u37lpqaUiRJIigomFdffbLX\nzwgEPQvhDJrRWOxl+HCZ6OiHWbeDBg1Cr9ezefOnrF37QptoiYkTp1JQUMCxYyd4GFiiYvLkBPLz\nv7Ly03tfRIolKisrOXRoH66uKrRaHZKkZu7cpFYzrfYTnNRqFXr9o+XS9Onj3SuzjAW9C+EMmnH+\nfBrh4SF4e7eVhVCpVEybNoV9+3azYsVTbc4HBQWxaNHyNsc1GstJW6Wlpb0yIsUcdXV1ZGdn8c03\nX7F27Zqmymi1tbVs2bKZtWufb2o7Zsx4zp491yIRsDn37xcyaZLtswKBoLchnEEzfvjhOqNHx5k9\nr1arqawstyndfvDgUIqLS/D3N1/qUVFu8MIL6ykoKMDLy6vXSRs0kpmZyaZNn3DmTCo5OXcxGAzs\n3Lmd+Ph4FixYQEJCAuPGjebixQxGjRoDQL9+/ThxotDkBvzt27fp169/r8wDEHQc1dXV3L9/D71e\nT1BQvx6bRyGcQQssLyd4eLhTUVGOt7dl6WeAmTOfaMgxUJlUxTx1KpX9+w+wb18yXl6euLhoCA8f\nys9//iYeHv42f4OuQGOh9JCQMIYNsy4b9cSJY7z77q8oLLyPJElN6/FVVVWkpqaSlpbGypUree21\n1zh+/FSTMwBYsmQle/bswMvLnbFjx1BdXU16ega+vgEkJIgNXoF9XLnyPbdu3cDT051BgwYhSRIZ\nGamUlVUycOAQRo8e26NeNIQ2UTO++GITY8aMarfNuXPnWbXqGZs0exrj4PPycujb1w93d3dycnI5\nfTqV7OxsJEmitraWgICAJoVMjUbDe+/9Hj+/7uUQ9u//lqiocOLi4rh69SqXLl0lKan9RKTr1xV+\n/OOXKCoqbLedSqXi2WefJT5+vEnV1vLyMr77LgM3N3fGjBnXqTr7jqIj9Xiqqqq4dy8fT0+vdrPo\nuyqO0iYyGAzs2bMDWY4kJmaYyTZZWdmcOXOWpUu7RiCB0CbqYNzc3NHpdO3+46pUapvF2yRJIilp\nMQaDgczM21RVVbJt2w7u3LnT9Gbh5uZGSUlJkzOoq6vjyy8/Z/361+z/Qk6mqKiIwEB/4uKMS20x\nMTGUl1eQk3O3RWWx1nz66ScWHQEYw323bt3K+vU/NXne29uHadMet8v23kRm5m3Onk1FpZIICgqg\nurqGBw+KCQwM5okn5vWot117+PbbnUyZMpGgIPOCkKGhIQQE9GX79i0m9xC7IyLPoBkzZz5BenqG\n2fNZWdlER9svwiVJEuHhEYwYMdKk3EHzH6EkWV+IvquQnZ1JVFRki2MxMcPIzLxl5gpjxFBa2hmr\nP6OsrIzdu3fabWNv5+rVy1y4kMbkyROYOHE8Q4cOJTZ2BNOnT2XAgEC+/PJzu8qw9hRyc+/Sv39Q\nu46gkT59+jB27Gi+//6SEyxzPMIZNMPfvy/jxk0iNfU0tbW1Tcf1ej0XL15CpXLlsccmdshnzZr1\nBDrdw9rCpmoKdDdiYkZw9mzLBLyUlJOMGmW6vjBARsb5dlVFWyNJEpcv/91uG3szer2ec+dO89hj\n40ye9/f3Z/jwaI4dO+xky7oOGRnnGD/+McsNG4iMHEpWlvmXne6EWCZqxfDhsYSHD+Xw4QNUVpYB\nEmq1CzNmzGuhSfSoLFu2kpqaGj7++L9RqVQEBQW1cAZ6vd6pJQTLy8tISzvdFDERHz/G5uUCd3d3\nAgOD2bbtG0JDQ7hz5y5+fkH06WO+gltVVaXNn9M8G1hgPampKcTHm4+WAwgICODatetOsqjr4eKi\nsvl5dHV1MSnn3d0QzsAEHh4eLFiw2OGfs2bNOu7fz+fSpQstNjsNBgMeHh489dRah9tQWVnJ4cP7\nCQz0IylpDhqNhuzsbA4c2IO/fxDjx9s2E4qPH4tOF09hYQGRkbEWN3EjIiJxcdGg1+vabdeIwWCw\nWLdZYJrCwvuEhZmfpTUiSUaH2xM34NvDYDDYJbYXENC3xX5fd6V3/Wt3QV5//Wd89tlfOXv2DKWl\nJWg0GoYOjeTtt3+Oi4tj45mrqqpITt7JunVPt9g0DwkJISQkhGvXrnHixBGb9XfUajXBwf2tahsV\nFU1s7EguXfrOqvaenl5OcZI9EWtfeNVqdac5A4PBQHr6WYqLHwAQHNyfuDjLDqwz0en0uLh0fkTR\noyKcQScjSRLPPvsizzzzAhUV5bi7e6DRaJxS0u/o0UOsXbvGbPTUsGHDyM7OprS0xEwBmI5h9uy5\nVjkDg8HA2LGPtRuZJDCPSmXdckZdXZ3V9Rw6kvPn0ygqus+UKZMYPNioMHvr1i327dvFgAGDW+SW\ntEav11NZWdH0+7EHSZLQam1fgiwqKmLMmLZCid0N4Qy6CJIkWZ3I1hHU19fj6qqy+PY3c+ZMtm/f\nTWLiQofZsnbts1y8eIFDh/abXa81GAyEhYXzzjv/3OZ4bm4OBQUF9O3blyFDQnp9aKQ5ZsyYzf79\ne5gwwfwGqV6vx83Nvgz4w4cPcfBgMjU1NURGRvHccy9Zna176lQKoaEDmT27pcx4REQEERERnDt3\nngsXzjN6dMvNb51Ox6ZNG7h160ZDqVIVAwYM4umnn7Vr2UaS1Dat/xsMBrRafZfINXhUhDPopdy5\nk010dNvav61xcXFBo3HsYyJJEr/73X/w29/+G4cO7efBg6IWA7qbmxujRo3m3Xd/07T8VFNTw1/+\n8hFHjhzi0qWL1NbW4OrqSkxMLBER4QQFBePp6cnSpSsYOjTS3Ef3Kvr08cbDw4v8/Hv07982ycxg\nMHDkyDGWLbO9WM9HH/1Xi7DU9PSznD59ij/9aYPFl5yKinJAS2zsCLNtHntsHF9/vbXNQP2HP7yP\nVluDn9/DN3Ottpr/+I/3+eUvf2XzC9bUqQkcOXKUuXPnWNX+7NlzxMebn7F0J0QGchfF0ctEN2/e\nwM1NYtgw0xmWzdmxYzezZzunEltFRTmbNv2V7OwsdDodfn7+rF//EoGBD5eGCgoKePnl5zl3Ls3k\nLMBgMKDX61GpVPj6+jJvXhLvv/+HHvH21hHPxb5931JaWsSYMaOb9JwURSEnJ5/58xcTGGg5xr45\nxcUPWL16GdXVVS2OGwwGli170mxp0Yf27GH58sUW38bLyso4evRkk8RIVpbChg0bTAYU6PV6+vUb\nyHPPvWTTdwE4c+YUfn59GDFieLvtMjOzuH79JrNmzbX5MzoakYEssJtBg4aQlpZi0RkYDAbq6rRO\nssr49vrqq6+3ONZ8AKyvr+fHP37JrCMAmrSNdDod5eXlfP31l/j6+vK///e7Dre/OzBvXhK1tbWc\nOHGkaQAfOTKeWbOS7LpfcvK3JkOEJUnixg3F4vUajdqqZRkfHx/q6+ua/k5JSTEbWaZSqcjLy7F4\nT1NMnDiFM2dS2bs3mVmzZuLm5tbifH19PcePn0CvV3UJR9BRCGfQw9BqtaSlnaaysoK4uHgGDBho\nsp27uzsVFVUWFVhPnz7DmDHWJ+E4mi1b/oczZ1Kt2hdQqVTodDpcXFzYvz+ZN998u9cqwrbGzc2N\nJ57omNmev39fs8+Rm5vljWh793gsrWro9Xq77gswceLkhrDrY9TX16HRaDAYDA2JoiqmTJmGr2/3\n0g2zhHAGPYg9e3aQn59DZORQfH09OX78AFVVNSxatMLk1H/8+Mls376DZcuWmrxfQUEB2dk5xMV1\nHWewd+9uqwcPSZLQ6/UYDAbu3MkmPf2cTXWQBdYxZ848Nm78C/n5uW3OTZ063eL1dXXWRfAYN2sf\nzlJlWeb27dsmHbzBYMDf/9Ey+r28vJg7177ZUndEyFH0EHbs2Iq7uwtjxozGx8cHV1dXoqOjGTVq\nJFu2/I3Kyso21wQFBREbO4bNm7/k6tWrTcdra2tJTt5HSsppkpIcn3xnLfX19Vy58r1N1zQ6DkmS\nxKzAQajVat5665f06xeMTqfDYDCg0bgyf/4ili1bafH6gQMH88MPP1hsd+7ceYYPf5hBnZiYSF1d\nvckZQklJCQsWLLHti/RyxAZyF8WWjcLKykq2bPmMUaNMy29rtVpyc++zdKn5H+a1a1fJyrqFWq3C\nYIDJk6fj5eVll+0dTWNflJeXMXHiGMrLy6y+tnEjOTZ2JHv2HLQrw7Qz0el0qFQPJRKckX9iL1qt\nlm+/3UVRURFz5sxjyJAQq6/dtu1Lnn/+GbP/Plqtls8//x+WLn2y6VhQkDdXr97mz3/+IxUVZfj4\neFNVVYUkqVi8eCVjxox95O/UXRAbyAIAjh07TEyMeTVVjUZDWVlJu/cYNizG6kI0nYWnp7EKnC3O\nAIzr46tXr+02juDKlctcufJ39Pp6XFzUDWvVery8fFi1allnm2cWjUbDkiVtS79aw5w589m4cRPL\nli3B37/lWnxBQQHbt+9k0aIVba4LDAzkn/7p12RlZfL995cYNGgQo0bZrqslEM6gR6DV1lmssdDF\nZoB2oVarGT16LPv2fWv1NZ6eXrzzzj/zzDPPW27cydTX17Nly2aGDg3j8centjlfU1PDpk2biI4e\nwciR8Z1goWkaZ1+Pgre3D4sXryQlJYXq6krc3FyRJInq6hq8vX1ZsWJNu58RGhpGaGjYI9nQ2xHO\noAcQHDyAoqIiAgLMF37vCTH2AEuWLOPAgWSrIkUMBgPvvPPrbuEIDAYDX3yxiZkzE8xKQbi7u5OQ\nkEBGxgXUaheGD491spUPOXhwH/v3J3Pz5g20Wi2+vr6MGjWadeueNxvBZgkXFxemT5/RwZYKrKV7\nzJsF7TJx4mRu3840e76goIDwcMvZxt2BxMQFzJ2baHGmYzAYmD79cdaseQaAwsJCtm3bQkbG+Xav\n6yyOHTvM5MkTrNIEGjNmNJcuZXTKbM9gMPDv//4v/P73v+Hy5UvU1FSj09Xz4EERR44c5LXX/oG0\ntNNOt0vw6Ahn0Ank5Nxl586t7NmznV27tnH06KEWhW5sRZIkJk9O4PLlq23OlZSUcP/+A6tC/LoD\nkiTxn//5J5KSFprVVVKpVMyYMZuPP96Ii4sLe/bs5L//+/9w/34Ohw7t5be//dcWIYpdgcLC+/j5\nWS8GOHz4MNLTzznQItP89a9/5vjxIyaXbCRJorKykg8++HcePChyum2CR0MsEzmZ9PRzFBffY9as\nx5s2ucrKyvjii09ZvfoZuxUXY2Pj6NPHm1OnjlNbWw0YRbeGDAll7drnOsr8LoGbmxsffbSBw4cP\n8M03W/nuuwyqqqrw8HAnNjaOJUuWM3/+QiRJoqKinPPnzzBggFHTyNfXF61Wy/btW3nyya5RuzY7\nO4vgYNskIAYOHMiJE6mMGzfeQVa1Ra/Xc+zYYYv7AxUV5fztb5/y+utvOskyQUdglTOQZVkFvAc8\nC3gD+4BXFUW5b6b9KuBtIArIBTYAHyiKYn9KYA+grq6OzMwfmDevpQiWj48PSUmJ7Nu3h4ULTSeA\nWUNYWDhhYc6rjtaZSJLE7NlzmT3bKAdgTn//u+8u4OPTstKaRqOhqKjAKXZaQ3Z2FkOGDLH5OmcH\nRx0+fIB79/It7j9JksSlSxecZJWgo7B2ZvAvwDpgLfAA+AjYCrRZe5BlORH4HPhHjE5jNPBJw2e9\n9+gmOw+9Xs++fd9y4cJ5ampqcXHRMGRICKtXP21XAtPJk8eYNm2KyXNubm4tdFcEtmFuySgqKprD\nh/e1yJnQ6/V4epovxSkwTU5OjtWBCOXlXTMXQmAei85AlmUNxoH9J4qiHGk4thq4LcvyREVRzrS6\n5GXga0VRPmr4+7Ysy8OB5+lGzmDLli/Yvz+ZoqLCFhLOly5lcOhQMvHx43jjjbdsWtapqalpN5HL\nxUVs4XQ0wcH9GTRoCMXFhQ1CZ/Xcv1/AG28819mmNREaGsbt29cYPrx9lczWPIL0jl14enpaHUZq\nKdRZ0PWwZvSJB/oAxxsPKIqSBWQC00y0/1egtTykAeg2qk4ffviffPXVZsrKStpo+atUqgYxuFO8\n9dZPbdqI9PT0aveNqb6+V6+iOYwXX1zPhAlT0WjcCQgI5q233sHPr+s8jkOGhHDvXqFN1+Tk5BAa\n6twlwaSkRXh5WVesJjq6aycwCtpijTNoFJJvrQebC7RZ6FQUJV1RlGuNf8uy7AOsB5LtNdKZ7N69\ng0OH9lt8+1GpVNy5k8n771s/2Zk6NYGTJ1NNnquqqsLNzcMmWwXWIUkS06fP4IUXXmb16rVWV99y\nJoGBQZSUtJ8l3pyDBw86vWiPl5cXo0ePtRjSKkkSK1bYXiBH0LlY4ww8Ab2iKK1jH2uBdoOiZVn2\nAHY0tPulXRY6mQMHklGrrVuuUalUXLyY0VS82xIuLi5ERw/n2LHjLZKmCgoK2L//UK9SSBS05PHH\nZ5OamkZNTY3FtikpKXh7e/PZZ391gmUtefPNtxkyJNSsQ5AkiZUr1zB8uPmqZYKuiUWhOlmWlwFf\nA5rm0UCyLJ8EzimK8oaZ6wKA3cAwYLaiKBlW2NOpmglpaWn87Gc/sylb12AwMH/+fH7xi19YfU1h\nYSGHDh1qqsg1aNAgEhIShJ5KL6e+vp4NGzYQHByMLMttztfU1JCcbMy+HjBgAHl5eaxcudJkW0dS\nXV3Ne++9R1paGvfv30etViNJErIss3z5cpYvt0+fSPBIOEWo7k7D/wfQcqloIG2XjgCQZTkMOAB4\nAdMURblsrUGdqci4f/9hm2UbJEni2rXrNtrt1qaqVGFhRYu/u7I6pbPpTX2xbNka3nvvV6SlpeHn\n54ebmxt6vZ7y8nIqKyuJiIhoCloYMGAAe/ceoG9f++QfHoXXX/8FdXV1pKamUFZWRnT0sCahQ2f9\nWznyuVCUa9y+/QMeHm4NdRTq8fDwYtKkqV1S2iUo6NGj46xxBheBCiAB+AKaBvsw4ETrxrIsBwFH\ngTpgkqIo2Y9spZOoq7MvtNOZZSEFPR9fXz9CQoxbdc1rOZuivr7znj1XV1cef3xWp32+I6iqqmLf\nvj1MmjSep59uue9RVFREcvIeoqJiiIyM7iQLHYdFZ6AoSp0syx8Cv5dluQgoAP4IHFUU5WxD6Glf\n4IGiKFrgw4a/ZwK1siwHN9zKYC5Jratgbzhc6xqpAsGj0Dx4wZpABkHHoNVqSU7eyQsvPGcybyUg\nIIC1a9ewd28yarUL4eERnWCl47A26eydhrZ/AzQYI4N+0nBuMnAEmCHL8llgKcb1q7PNrpeAeqBL\nBx9Pm/Y4Bw4k4+Ji/TRQr9cTETHUgVYJeht+fn2tiucvLi5m2LC4dtt0R4qLH7B//15qa2tRqSQm\nTJhMdPSwR7pnY8nM9l74Tpw4ytq1a8wmMDYyf34imzf/T+90Bg2RRG81/Nf63HGg+ejZbfWOYmNH\nEhYWzt271q9saTQa1qxZ50Crei719fWcOnWCmpqqhk1IqK3VMmRIKCNHmq7a1htITFzAxo0fExnZ\n/kvGgwcljB8/0UlWOYezZ89w5sxJoqMjUal8AEhJOcKFC+msWvW0Xfe8fl3h/PlUPDzcUalcWbzY\n9Aa3Xq+1WlkgIiKcnJy7DBo02HLjboKYY7YiMXGh1dLAOp2OceMm4O3t42Creh4ZGec5dGgvkyaN\nY/HiBSxYkEhSUiLLli0iIMCHb775knv37nW2mZ2Cv39f4uPHkZ9v/vvfupXJggVLelQEWnV1Namp\nxxk2LLrFrGjIkMHU19dy5swpu+57+fJF5s6dw/Tp03FxMQrptebevXxCQ60v0zlx4gQuX75klz1d\nFeEMWjFnzjySkpag17fvEHQ6HVFRw3jjjZ87ybKeQ3r6OdzcVCxZsggfn7aONCIinDVrVnP2WR63\nfAAAD41JREFU7EkKC23LzO0pzJz5BPHx47hzJ4e8vDz0ej06nY47d+6Qn3+fxYtXEBXl3JBSR3Pg\nwF6zs6GgoEAuX/67Xfc1GAzU19cDUFlZhatr2z2+0tJSAgPNF4dqjSRJPW6/ptsu6TiS559/iX79\n+rF3725yc3Na7CHU19fj7e3LhAmTeOWV13rcA2EKnU7H8eNHKC01ZsgGBAQydWqCXd+9pqaGgoI8\nlixZZLHtihXL2LJlGzExvUOJtTXjx09i/PhJ3LihcOXKZVxc1Kxfvx612ry+VXemqqqKgADTUVNA\n04BuK4mJi/j2252o1SpiYkaa3Dfw9fWlqKiQKCtrQBkMBgyGniUfI5yBGZKSFpGUtIjTp09x6lQK\ntbU1aDQaIiIiWbJkedMmU3l5GTt3fkNxcRE6nR6NRkNoaAS1tdWUlBRjMBjQaDTMmPEEISGhnfyt\nbEOv17N9+1ZKSx8QFTWU8HCj+khpaSkbN35MUFB/Fi60bakiJeUYc+bMtqqtJEkMHjyQ/Pz8HjsA\nWkNUlNw0C+jJORfu7h5otVqz4o+WNnbN4eHhwYoVq9ttExzcn0uX0pk4cUK77XQ6HXl5eaSnZzB0\naM+amVnMQHYyhu7yoGu1Wj755CPy8nIIDAxApVJhMBi4ceMGbm5uxMTEND3UBoOB/Px7aDRuPPXU\nOvr3H2Dx/p39o9fr9XzyyUfExsaY3VQrKyvj5s1MnnvuR1Y7hOTkXSxdanlW0IjBYODgwYNMnz7H\ncuNeQGc/F46ksrKSTz75IzExbSOHiouLGTgwjGnTEpqOdXRfHDq0n4UL55l83isrK9m2bRulpaX4\n+Pig1+spLS1Do3Fn1qy5BAUFdZgd9hAU5P3Im0c9f43DAWi1Wn73u3+jtraKfv2CmhzBlStXiI2N\nJS4ursXbjSRJDBjQn8BAfzZs+IjcXJOJ212Kbdu+YuTI4WYdQX5+Pjdv3sTVVc1f/vJHTp48brJd\na2x9u+tJG6SC9vHy8mLcuEncvHmzRRBHfv49tFp9C0fgCBISZvL551+0KUFbUlLChx9+SHh4OGPH\njiUqKgpZlhk//jHi42PZu3c72dlZDrXNGQhnYAcbN/4ZLy+PFgPb7du3GTVqFB4e7SuPhoQMYfPm\nTx1q36NSV1dHeXmp2e+Sm5uLwWDg6aefZuXKlTz33DOEhAxg796dFu9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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.scatter(*np.random.uniform(0.1, 0.9, (2,100)),\n", " s=np.random.randint(10, 200, 100), \n", " c=np.random.random(100))\n", "pass" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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XJM3MkJekghnyklQwQ16SCmbIS1LBDHlJKpghL0kFM+QlqWCGvCQVzJCXpIIZ8pJUMENe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\nDHlJKpghL0kFM+QlqWCGvCQV7P8D3yNxYPYS/G4AAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.stem(np.random.random(8))\n", "plt.margins(0.05)\n", "pass" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "x = np.linspace(0, 2*np.pi, 100)\n", "y = np.sin(x)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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EBg3puSQEhPAw63MzsVktvLm7kB6H0+xyxDBrautiy+EywoIDWXnP6CE/n4SA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\ntl1/fEef453AiDt8LSGEh4s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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(x, y)\n", "plt.axis([0, 2*np.pi, -1.05, 1.05,])\n", "pass" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Colors\n", "----" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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SYrs9017ExMSg1zed+aXX6xkxwjXlH9s7u3ZtJyvLsoyJQqHg1KkTFn8HtrJ7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\n1SoOHz6AXq/DZrNhsVgZPTrZ6VqFQOCIu/fVTSVt1bdvaGi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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.scatter(*np.random.uniform(0.1, 0.9, (2,100)),\n", " s=np.random.randint(10, 200, 100), \n", " c=np.random.random(100))\n", "pass" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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KE+31PtuILjJz76Q5DZIvEJhMFWzcvg6Xy8WQ/sOJiYl1W65Pz74krAqnOL62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\n7uWZHf/FEnXjSMAvr5znh/yIcSNGe1Weq4hEdYIWQavVMnn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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.scatter(*np.random.uniform(0.1, 0.9, (2,100)),\n", " s=np.random.randint(10, 200, 100), \n", " c=np.random.random(100), cmap='summer')\n", "pass" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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reeuFALp1aWU1fZISrnLgs3doeGA7D6cnogZ0NvZsCeyK58SZdByiPEGXJdiz\nKgo+aY5/VsnXREIiWDeayOf/xmulJ+7u7iXKVScMBgOrf5vClKANON9VT1eWjzDtrdOs2vsJOXkT\nivS5kQG6czIrVu7mH8+f4akn+1tZ68rBZDLx1oYf2eAdT4q3ijYRal6tN5i+gd0o9TmrkjDapGNX\nwhYBk61lCwoZjUbS09Nxd3fHZFS+R0FlULAjGrjum8j164n4+xdPhV2TqV1b6CzAjt0neP4jmcNx\nE4sYAgCj1IgDlyfy7LtZ7I06bRV9rl+N59iT45i6ZTH9MxKxkQrLCrYsyGPCse3Ue3cWexb9YRVd\nSuPcn8k0LsUQ3E3Q6VFs/VlZnv+qJmL5u8zovAFnh6LtHy8IZNmOP8jJCy2xnyRJ3EgP49PP2zFn\nzjYraFr5fLt1Ab+OySN+WAPyutTj0ARvXktbTVZWFg4DOxOvMRaR3+Jjot3EUfg6hpJ5regjRpbB\nOcdyRZV+3jmfvrufJiTpeQZsf5rYusrvr9y6CYrkZElGlmtXlTMQxqBMTCYTH393kcScHmXKxWf1\n5aNvz1mlpu6Bj15jwqUTpaZmbpebjub7j7mRlmpxXUri5IFT+ES1VySrRk3mVpXVahHfLwaDAee8\nTdjd8+IYl6Ti29Xvkm/yK/ccefpm/PizmsxMy5fZrGx2qi6Dq12RtovDfVi8fz2hj45h18t9WR6g\nYpdLLouCHJH/OwOfBg3oHTKKnDWTSD1f2DcnFc7/rxtjQl+3iJ7rD23mo/abOTNOIiPMiROPykS+\nquOKc3i5fQ1kkDhiu6JxvC7XpW7dehXUtvoh3ERlsGbDXo7F9yt9KnwXRy72YOvOw/Tr1cli+ly7\ncplmh8r3aQ68cZW5P37N7g527Hc8R77aSLtcP17QTqZ1k1bEX43nYuI16jg40qp5i0qN7onZf4Vm\neV0Vy9tf8iI7OwtnZ5dK06GyOX8umo4NzhZrn72iM8mZYxQXRYlPGMhXX/3KO+9MrmQNLYtUkq2W\nQXWzBkC/fz5F/qwZZGZmoHX3uL2eIEkSz436nsMnHuXsgT3Us/dj0shxFosmW5e2l7yAohY7p6sT\ncSPm0XjhoDL7Hu3yH3Ifu6JofaF7ak+cnUtOfliTUWQMtFqtCvgImAa4ABuB53Q63fVS5BsCs4GB\nQC6wDHhZp9NZvopIJbJ9byamkgqRlEC+1IRNO6LoZ8Hd6ifWrWBCdmq5xkktgW7PYuZ+FcStJ9V5\nYtj5+Yc46AWKAAAgAElEQVQ0dxzFseaB5DTQQk42rcMj6FNg4KU+vXCphAeyqcA8ecmkxmg0li9Y\nDdl5oq9ZwQOSZMuenRc4eWwrge37WlCzyqUXfuxKu4rsfifndLM1iTwS8sTtz7a2tnh4lBwdFtS2\nJ0Fte1pcT6Oq5Jsvr108W937YXMtAM9j7dBemInNzfzZMibO+n7KhXlzkGzL/1tqztkxzqf86KSa\niNKZwXvAFGAykAr8SOEDvthfWKvVaoAtQDzQDfAC/gAKgBcqrrL1yM5Tg2yifconDMnahr3JwA6H\nDmzz+QhUxd8MsvMs63WT8g2K30JzvQwUEf7LheRBH5Nc37+IXLR/ANEmE/uX/8nvfXrh41mxcE/v\n5nVIkxJxl5UZ0dy6ybi6dqjQmJYmoHlr9h9ogX/9orODlMwySliWgmxyI+Hcf2nTrk+NCTud1XcC\nqWt+Ya3rJdI8oPUVO15tNLbaRdP00bRndeIlCnzuim46n86lvrHQxQaIJSY3nOiff6bx4hA6ZQ+g\nZT8Tg/u34rWrniS0vFrm+aVUiYk7p9FrZB/LfpEqolxjoNVqbSl8iM/S6XRbb7aNB2K1Wm1XnU63\n754ukwAfIESn02XclH8beKZSNbcCTvYFdEr+gC0pc3C7+TpuMsQytiCZlY3+KkHesotKDr7+pMrg\nUcYzJK0AdufB9Wv5NPvyArHj6mM66QbtPwOfxiV3Uqk4OHYq/1g6l0WPVKzsYrfBIfzRfhOdj45T\nJO/Q01DtUwFrNBqyHAajN5wtsm6gVpn/91arjQQ3P4TuzDFatqreRvAWkiTxzpCneN1gIDs7C7eW\n7tXSkD3afTS68MvM89hFVnt7iL4O+ddh2F2POQcV2S9mcXZSBF1X2fHUQ/8FYHb0j7y58N+cfeg0\nkmPR7ybLMq5Rbow/PYm3R3xgza9kVZT8CjsAzsCOWw06ne4ScBEIK0F+ILD5liG4KT9Pp9MpdyRX\nE/qEujIic/1tQwCgQuIf2fuRDDFFZG3lSwzs5W1RfboOH02EX9sSj10ywtIbcDgFhmbC4sOZnHvl\nDH8H7WbcuzrqXLpS9sklicjOYUSeOFYhHVUqFZ4j1KSryq8YFV13ByEzSv4+1Y3+Y97htwPDyMy5\n09bY+4LZ52noE4OLo5G8XMstJO9fOJ+t/cPYNHwAp3eXv8akFI1Gg/tdawLVDUmSGBXQG5X9Rbh+\nBLpdg1JKIZi8Yf6w9fyxaz4Aoa3D2Bi2jffWfkLowp40WeFP/RUNabU0kMfmP8la2828M+zDavvd\nKwMlbqJbu2Xi72m/CpT0qtkCiNBqte9T6FaSgeXAWzqdTn+/ilYFwwaFsFyVVqzdV87DtiAZA3fi\njIP8I+nbc7hF9VGr1UgPTSD+uzM0NN3ZNh9tgCs3YNw9L6oSMColn1Ep0Sx9fBwvfjibqyNLf/PX\n+wewdO1BurdVFg1UGsNn9Wde7DJaLBhJHZNXiTLnvaKo954ev+ZNKjSWtbC1tWXU43+ycctcjLr1\naEwJNKx/BvlEHpKkoH4jACmM7h/BvujmdB4cYhE9c3JyMH36EY9eLfy5/vXf92i1bouivrIsExsb\nQ9KNDOp7eeLrW3oKh+rKvJiFZEwyAuXXkjbWh9X6DUylcEHfzs6Ox/s8xeM8ZWEtqydKjIEjYNLp\ndPeuzugpuYqpK/A4sB54GGgIfA94A4/dt6ZVgFqtJrtDAOw7VaT9f3bNMNjfiRpq6LyVN2YFWOWt\nodfjs9iYlkqbxT8RZMgi3QRn0mFMOR6LcdeuYvjPP5nZvCX6VqXHeSfZKtt4UxaSJDHty4dZ3yIC\n3Ro9/ke6421sjIzM2Tr7yQ6Npd1MP9r37FbhsayJjY0NvQc/TuHtDZ0fzWXfoHXEXByrqH+HFp/S\nq0syB+Ofwc7OrvwO94HRmI997p2awZq88mM28vPz+X7NFjalyBz1aIPRsSn25xIJ3ryeYfXtmDHE\nvIVyayPLMqcPH+byyROEN9pqVt+ooFMcPH2A4FblV12r7SgxBrmASqvVqnQ63d2PHDsguwT5fCAF\nmKLT6WTg8M1F5SVarfafOp2u+Kt2NWbwt5/x9ZSnGH3mMm7AbI0vv3q/DZIaGzmOjk12Wn0H8uBX\n3+bCkFHMX/gblzaH8+/r907aSmZSQhy/z/mOiC9+KlWmsrz3kiQx7On+yE/JHNxxiAu6vahsVQT3\naY2vv2VnUNbCwcGB996tyz9f2UNycsmbzm7hWWc+wwbs5VjyF/Qe+JjFdHJ1rcP1KY+x5Y/fybW3\nx276E2XK5+XlMf3X5UR0nAaN77zb5Xk1YjediMxM5eivS5k98+Fqt7aj1+vZ8u13sGkrwYdP4pmf\nT/JJOwofTcrI08ocOnRUGAOUGYNbzub6FHUVNaC464ibbbk3DcEtoin0WvgBZRoDb+/qFW/u7R1I\nYPRuDkRsY9GW/VzJbc4gQzZODisZ0d+HYUMmWOytqaxr4d2nOyG9Q1keGorNRWXGAOChnZuJyMkB\nR8fiB2WZ5vk5ZGUl4+LigqenZ6V8t6HjKh59Ud3ui1uMfzQMD/cjvPX2Eo4e74MsF103Uquu0ilo\nJ1981olu3SrHf1/etZg8+0vS3n0LjUZTbsTP9P9bQ0SnGWBTsltFdvFgcYtxBGyI4MPHqk8B+PS0\nNBYNn8T4LVHY3VzTOylJyDbm36+OzjbV9v6yJkqMwTEgC+gFLADQarV+FD7Yd5Ygvwt4XKvVqu9y\nLbUFjBQuOpdJdS3c4d++MzPbF397SE7Ossh4Sgp3ZGZm4K4rvhmqLEZdjOHl0yfI71TcZ63ZtZY9\nrs+zPyMLdZwDDa4E0lkawoTQJ3EsyXhYiepe0KVjxwDWrGrK6tV7WL8hk5QUWyQJvL0NjBzhweDB\nQ5EkqdzvkJKcxLnoA5gK8mkS0J6Gjf2KySi/FjYYjSZyckqXvZZ4nbXGBqUagts4urLkHDwTn4JG\nU3E3YkXJz89nzaQpPLn9UJFNYo1kFd5HjCRpleuoSpSpq25Qre8vJVSGMSvXGOh0OoNWq/0B+EKr\n1aYASRSuAWzT6XRRN0NPPYBUnU6XD/wEzAL+uLmI3Bj4DJhX01xE1Z28PD32+Qaz+tgBmswMimVt\nz0jDK+8jnCbduNmQSRJ7WavfS+TiVbzd7lf8GjarBK1rJyqVilGjejBqlPl9dSf2cmnvr9TL2UEP\n7+uoVRB90oXN6h54tJ1IpzDLJB78fedBkrWPKJI9px3Ikm0RTB5U9TH2exYsYOL2g0j3ODXdUNF7\nuYGlZuwJa7fdnwG9B1SyhjUTpU7At4C/gD+BCCAWuBVIHkphZFE3gJu7kntSaCAOAfOBpcCzlaa1\nAIA6deqQ7OZmVp9z9vZk+xV9qKt0+6m/axhNJ+wvJq+yg/Sph3g/egZp6VWT76g2c3DbUtS7pjCp\n7lL6+V3H3QlcHaBr40wmNthA07NPs2XJZxYZ+7pRjeJdjPZOXM6sHsGA+evCcSnl0TV5K9ieK71A\nTRHyTPTPD6t2ayFVhaIdyDfdPa/e/HfvsR2A+p62M8CQylBQUDoajYaMkFCIW6K4z86mAYRGH+bG\nmWNkZlxH77KcBp124fJYbpn9bow/wry/ZvPi4PcqqrbgJhdOH8E1+g26NSwxqwsALTyzkVK/4sA2\nPzr3UfYWrxSVme51G3M7WIBr1xLwizpa6vGRKRqemJbNj2uckT3LeLwZZfrO7cg/R/7DAlrWTIRJ\nrOH4PDqRCwr9uJlA08nTWDl0ENsH9yfUYxHaqZtwaVO2IQCQVHDEfgsFBWYmHxKUyvnIX+neMLFc\nueYeOaSfXFDp4we62kCusjUvTWIMXf3MT79R2SRdiaNRTtkzlO/2anh5SBZef+cW5sy+B6djNoz6\nvQe/D/0ZW9vy9yM8KIispTWcDr37smrCFDznzaEsh5EBmD9kGKOnF8bIJyUlcanxIQVbc+6Q2u0E\nUSci6dbB8knHqoITeyJJWLgM+wuXkAz5FDg5kNshkKAnZ+DTsHIrlWVnZ+OesaMwc5cC2tvv48yp\nQ3j37n1f412Mi2PBweOkSzaokWlsKzEhtAu/Lt3EuQ7lVx3rdC2KnsNL2c5rRWwd7TFQdspzCYnP\nD9jxj0cK+L/gdPZ3VxPnYYNHy3a0zgtgatMJtBtVsY2VtRFhDGoBIz79kuUaW1ovWUhIenqxpKYn\nHR3ZM3gYI2b/cDt9cHr6DYxemWYZAxsvuJauPIy1ppB45Qr7X/o3PfedpK++6O49ee8pdi1ZS9Tw\nvgz574fY2FTOT+Zq/BUCnC4rlm/llcNC3QEw0xgcOXuO2Yd1RLr7kx70yJ01AoOe3zdvxifpNHbX\nY9DXLb1ql9ulIzwVWD3y9zf2a0p0Ix+axaWUK9vIpOazKDVEwaJuben31DIraFhzEcagFqBSqRjx\n0WdcmfkU8+f8jMPhQ0jZ2eBgT26btvhNmc7ojkFF+jg5OaHOdKBwT6EyjJng5lC7itgnxsdxcsqT\nzIwuOXeThETPlBw6z1vNvBs3GP3zDzVmwXHb0eO8fEVPXPcJxQ9q7LjYdTgXOw+h0a8fkN2iN2kt\nexVdUC4ooMGpjbzRzIahXcveVGctnJycSO3ZFRasU9xHj4zcv7fllKolSNWsypRc0+N9KwtLx9bL\nsswT2/qR9uhBxX00q5ryW8e9ODg4lC9ciVjyWqydOI3pWw4pks1AZu1rTzDgpRcrPG52djanfg5h\nWFNls4PoJEdSu6+nR69eiq7Fxfh4xkVd5FLw4PJPLsuELv+K9j71OZxnR66swkUqoKuzkSf7h1a7\nGtW6Q4dweuQxOiqMbvrbvy6dtoZXu5TblYm3t0uFV/fFzOABRZIkOhkHstl4EEnhXdA2s6/VDYEl\nOXv0KMF7lGdpdUVCvTEC04svVHh24OTkRKprLwqjtcvnaG4IA1oHlS94k5/3HOZSSAkzgpKQJA6G\njuUF1UXeC7Zcpb7KQtupE1uefxzPL3/GV192YaT9ns64vPNGrTYElUXNmO8KLMLkbs/islRZCmm7\nDU2ZGPichTWyLrF/LqRtjnlV1vociyFqzZoKj52ZmUGq7E7E+fLLJ55LdcSt7STF59br9ewocCx1\nD4G9LpqgHxcQ+L+FSNevAWCo78fSC8oKwlcH+r/4D07991XWN/Ikv4QF5UxMLNY2JuPrj+k4dGgV\naFjzEDODBxgXF1feCPiFj5c+QebDJ0vdf2S30Z/nHWfXuh3I9pfizO5TV5bIPhkND93/ruDt67/D\nKeUHng2OY/9x2B0DPUpZvz2b4sRh15foZ8Yeg11HjnK+dffiB2SZ0E//x2dr69A9NwAZmcWL1/LO\n43U5O34kx0xKU3FXD4b88wViHhrL0v/NwWbXXmzS0pBUavT1vLEZ1J+wiRNF6KgZCGPwgKP1a8Pn\nLiuYN/9rjjlsJaPPGWzcoSATHHb40zajD+NbP0uzxi2qWtXKx6Bwp2pl9QOO7F9PW9VHtOxQmPC3\nRxCcugCLz4CjUUV3fxNqCU6nuhKj6oFH2wn0MzMdRWJ6OtQtHmjccM16lv3dhPqmwjUACYnxae1w\n/DmasaGx5CooBm9J9Ho9+xZuwXgxE1Qq7Ft70HV0n9sRcCXh4uLKgJf+CS/904qa1k6EMRBQ19OH\nVwd/gsFgYPferVzPSsDNwZOw9v1qta+1wNX87yYjY3K+/2uSdG4hA9sXzfzeplnhv7+2m/g2tjEt\nOrxJq7BQBpSQqE4J7k5OkJcNtkUNQtjuq9Q3FY+vH5HRio6rdpMSVDWZO2VZZsvnS3FYmcaQ861w\nonBzWwoZbP3hf9hMbkKPGSKhgaURxkBwG41GQ98QBdEntYSCLkEYNkWhMeONeF8de1qPU1bMpiTs\nTaUXXW/TGHoMusLOM2dp2HjifY/Rs0M7Gm3cQ1xIUV+5SynBNxISTnoJLzPCjCsLWZZZ9cocxs5v\niofsX+SYJ66MO9mJS+8ksTltGQNerlh9bkHZiAXkSiZqyyrCP5zMrldC2fFqTzZ+9QIxZ05UtVqC\nEgidOYPNvgq3AN8kpkcnGvr53feYekoP00zMAC8PsJP33ff5AZydXehpulGs/VBze0wUL4l3WZXC\nCa0zDzUwL+lhZbBn6RZGLPDFQy59VtJE703r72V0h09aUbMHD2EMKpH1379F4LqZTM5ZzRjNSR62\nPcqU5LkYfhrD4a2rqlo9wT04OTmRPn4k19XKZgZ7fFzxfXJ6hca08R7M9eLPaWQZ0ozg5AhqVcWz\ng05vr8UruqhROTx1BC+33oN8V/RNHnqe63Uaf/s0RvWw/say7FWXqFdQ/j6GDll+XPxT2X4Qwf0h\njEElEbV5JX0u/EQTh+L1BcIcE8ld8R+yssSGuupG/5dfYu2MUcRryv4pRPrUIeP9f9GyW8XqNvce\nPJMfI+py5q4NzynpMG8nDLnpFs8rKD01hFLaa1vwpl0abufvyvDp6sbs2dPoPuk0L3Y6zLMhR+j0\nbBxnRzTk//qHWH1ndVpaKg2jlHuq7aOs78Z6kBBrBpVE+v6l+NqXXmhmmNNFlv79CwOmvWxFrQTl\nIUkSIz76gN2tWpK7ch1BUadomVeYmdWEzHYvJ66GdcZ/5jQ6delSKeO1Cn2RZNs3WHWysBassztM\nmQZqNUSfd8Knyf2vF9zNpN49cN1/gB92LeZoyx4UeDdE9vBk70uPsRdwPXOA0MQzfNAvhCb161fK\nmOaQlpaKd6byxXjbTDCZTDUmHUhNQxiDSsI+9QKUEaZtqwKbZPNKVFYXTCYTOTnZODg43g7zOx5z\nkjnnl3PWPgFHo4buxlbM6j3D4mURU5OTifrlN+zPXgS9AdnBHmPH1oTOmFahyKcekyfB5ElER+3n\n8J59SPlGZEcHOjw8hrY+lZukrfeA51iz9ALdAxfQslnh264sQ+QhN+JzX6HPwH6VNtaIkM4M7yKz\naX8U6/bv5oZkgw1QHwPTOgXSYsB9lGarJJydXbnhmFdYVFcBRgeEIbAgwhhUEiZV6bHQt2Wk8mWq\nC7Iss3HzfpZtSObwaQdyDC7Y22bRoUUuLdrFsSR0NwmTbv0wc9il383h304zd9SXlZbZ827y8vLY\n/Po7NN4cxcTrOajvigDSr40i/I+VpI/sy8A3/1WhB0brLiG07lK8PvT9Issyh7duIi36OCpXN7qO\nm4SjoyMjH/ma6JOPcjhiEbaqDPQFdWnVfiZ9mjQv1v/Iib0kJl/ATuNE7+4DUUnl71q+G0mSGNQ1\nhEGV9q0qh7p163KsQy7ddyuTzwuys6xCDzjCGFQSefU7QErpUUNpBrBrXsKu0GqI0WjkxTf+5u89\ngylQ3ZXH3wgJx2BD/WnQ+54Hrp2aTZOSWLh5OVN6Vm5Frry8PNZNfYqZ289giwT3hILaoWLkpQzS\nv13OomuJjP7uKySl5RwtyGXdGY6/8yL9o6NojBG9DBv/+A7TtOfpMfVxWgd2pXVg1xL7ZmVlsj7y\nW1JsNlG361Hcw0wY9TDviDfy5TACfSbRpUPNr92rHuxD1u5cnCk751WsJhHvca2spNWDiZhzVRLN\nBs1kT453qcdXysF0G2pGpe4q5F/vrmTJnolFDcEtjNdgeCnVuVxt2WWs/DDaFbP+fZchKJ06qHhk\n2R62fDm70nUwF4PBwKl/Pcn06D00pjD/kZ0EDyXFov3uHY5uXl9q32uJV/h9xyjqjv+EwPGHqetn\nwlYDDi4Q0DOJ5pOXc6nRVJZt/tRaX8di9Jo5nPlDjmGg9F3daVIWEROu0bFvyYZTUDkIY1BJBAQG\nkT70E9ZkNMZ4Vyj3jXz4PS+YDrN+KnNbvbVZe/Qg/SJWM3jzSnafPnW7/YwuhlWR7UDlWHJHOR/s\nS097XlBCHHtpmEwmdq6KZMmr4SyetZklr4azc3UkJtOdc6QkJVFv3Z5yDcEt3GUJ27Vbq7w8557F\nfzL6Qsm1elvnZXL9779KPJadnc3Sg9Pp8NgB1GXM2+u1ysam+xes2/ljZahbZajVakb87ynmTzzN\nds/oImGvRgrY0OAYa567ysjPZlahlg8Gwk1UiQQPHEd6l/4s/vtnNGkXKECNbfPuDB42wSJ+9Iow\nOzWBE+MLyx1+s3A5PVq1AeD3xafILCgjmsWmEaz3ge4lrPrpCwgyKQuL3LYokgu/pdPseG+am3xu\nt6f9eY3f24XTbEYdeo8P5cD/fmfStWzudQ2VRf/oa2xbsoywCY8q7lPZmM4cRwV82qgOp7RumFQS\nDeOymHU6mcaAQ+yZEvtt2PM9gZOiFI3h2UTPyUO/otfPwM6uevrTZVmmoKCgzPtfo9Ew4puZJCZc\n468529AkFIBKIr+JLV2fHEewax0ravzgUr2eULWAOm7uDJz5WlWrUS4aY0GJ/386ppyHiiRBxGgY\n+jt0v+v2kWWC5zswY0D5YZHrf4pA/rQ1nbKLJ79zN9XD/egjJLyuY/2NCBzPxKIyM4GaOyryj54C\nhen8LcEaUwKvv9OV2JlasLs5I5Rlflt9iYd/PEWv1OLZNGVZJlnahI8ZiTYDBp1j09q5jOj7VCVp\nXnEMBgNL5u8kcoOBuPN2FOTb4OiST5sQPQ9N9icouHWJ/Xzq12PQW1X4RyuFvLw8kpOTcHR0xMOj\ndlX6uxthDB5Q3mqi5ZuFy7EpMPFWq4632w1GBQ/e9NHwD3vothqbwHM09XCla04L3uj5bLnFb05E\nncLwZROalGAI7qZ+tpaLX2ZT0CxV0fcphr70PR+W5odtf7L0dTcMzRoUPSBJJD/kx08DG3H8xRj6\nynKRhW7duVO4dzxs1lj2ThDPTqB6GANddCzvv3CMxONjUHMn1DfzOuy7AHtXnCb0kWX855PR1cpt\nWhIX48+z+uTXJNTZidQ4AdM1B1wPB9PJ5VEGhdSM9T9zEMbgAaWbthXdtMWjM+o4KfS1Zw+BLUPo\ncHYZ6+crD1o8/mcsrdOVvf35pQdxPPE+00U7Vk1u/qysTH512omhWRl7Hhxs2P9aQ77+/R0mDXsa\nH59Co3E95SJ1As0rtgNgUlWPne2XLyXw9tMXuHFmCqU95qXcVuye15j35SW898U4q+pnDmdijjL/\n+gw8Jp/nTliIAYhg/8XdJGy6wGMD36w6BS2AWEAWFCG0IyArfKuWZULaKX9YZ2VlUrDTwyx9rmb4\nYyihklWZfdQmXHpU3l4Bc/hl7yLiBpZfGrTA34nYhstJjuvBxvVvA+Bg70x+nvljqqTqUcDl588P\ncuPM6HLl1Dizd3EY+8woOWpNZFlm0ZnX8RhxvsTjzn56Yjp8y6GTCjdI1BCEMRAUYebkHvjW2aBI\n1tt+G09NVZ6i4XLsFbwTzCuS0yJzFusblBLZVAo72zcheEjlpeI2Go0s3LWZDyJWMH/nJvLzSzeA\nZ2yuFW43V8AZJ096hSbTq/P3RO1bTcuAIBIONzRbP3WOn9l9Kpu0tDSO7yw9tPpeJH1z1iy8Ur5g\nFRB1fDtSzwNlyri1ySHy6nwraWQdhDEQFMHZ2Zl/z7TH1bbstzYH1XlenJxJvXp1FZ+7IL8Aycxb\nzhFXrvbrQobCkNVdthLnHUNY//xm1r0YTvjPm8jLu4/X7ZskpiTz0Prf+Ee/+nw7PoiXBjZiePhc\n4hKvlShfUoro0jDdXBhv3CifjBvhuLi4oknpbZZ+Fw+40qPVE2b1sQTL5u9Df62vWX1O7bUvEkZc\nXYhO2omLf/mz41T7aCtoYz2EMRAUY9zoUD79xzVaei2DgoyiB005NHNfyXtPnOGJaeb9+Bv6NSDF\nI8asPikeMYz78j0WPNyN9DIetNeQ+Vbqxg1+Ydru9+i3ZCz9FjxMyH+GEtF7Dxu+CkeWzXM3AXwY\nFc6BGQOhzs18+y5OHJk+kA+PRJQo72NQXi2sQf6d8FxZLly+C27yGJcPKasrIMuQdbwX/n4tFY9p\nKTJvSEilrhSUTF6GW7XM5CsrNOjmGP6agFhAFpTI2JGhjBySz5LlO9h1UE92ngoHjYku7dRMGR92\nX3HtHh6emEL3wVrlfUzdE/H27svo775mnd832K7bxsDT16hz14PnGCY2OUxlfO7r3LuR1R4H+sU8\nRPLniaxIW8WYD8xLzHbQyVQYTnsPB5xMyPdEAwFM1Y5g8YHPyOhcTtK87HyG2xRWPTt52pl6jQqr\npwW2DOHyzte55vgB9VqVnsFNluHI3E5M7fmtWd/HUthqzE//IdnkYWdXNQv9ZeHn0pE9iSocfcp+\n2LvmVTzVeHVCGANBqdja2jLp0d5MqsS9W83GeXF980Xq6v3KlU3UxBIwrtAPrVKpGPCvlzC+9AJb\nFi/BePQ06PXIjvZcONaAKYdeKfNcXgU+tP29Bwd6HKDzoM6K9S1tLiFLUonGQOvXnEGrGrK0fQpo\nSn9T1v52jLBOWaxY1wJsZxLWq+ftY0N7PkPEPldOnvyRJn2P43JXaLssQ+w+N/RnejMt7Bvc6pi3\nIG8p2nT0YLXNFVTGxor71PPPqJab5Xp3Hsn2iI44Tiy9mE52nA09PapuU6MlEMZAYFVCh4Tw12Mr\nsfvViToFpS84pquTSJm+m8GDi77J29jY0HPSRJhU+Dn+UjwOA1ORFGxMa2zwJ3rpfsxJ39kpW0WM\nLBebHQRnSaVmR/1q8Otk//YOG0bfQPa5580310jHJTJfd/6FHNmWLmG+JT4Q+3WdRO+C8WzftYzY\nvE0UqNNRSRpcVc3p2/QxGg/3L9anKukzIJg/Om4g4YCyB6QJAyEDqj6ZYEmoVCqG1nuT9buexS2s\n+NqQPk3CZeNkeo4cWkLvmot0P35UCyInJVU/H2JV4O3tQm29FrIss/yzDWQvcqV1/ADUd72TGMnn\ndMMtOE3IZMyrg5Ekqcxrsfa/6+n39SOKjAHArrrhdNvXDmdnZWmgr15PZPr+VRx5JAycHSEnl3ZL\nd/NrxyH41S898sdkMrEmKpwVGXs475iCSTbRQO/KAFVbpoWOw97+/twj1fm++Ou37cz7TxBSfvkR\nUcTkUWUAACAASURBVK4tlvL7xu44OytfY7kXS1+Lw6d3sznuWzICduPcMhNDuoRxbzu0BSOZ1O+V\napEZ9xbe3i4VVkYYg2pKdf7RVxaZmRls+mU3uUfVmHIlVA4yDh0KGPhkD1xcXG/LlXUt1v97E31/\nH6t4zGjbo3jvs6VxY1/FfQwGAwv3biW2IBdflT2TuvWtMvdGdb8vPnl7FVvn9EXKb1CqjLNfOK9/\n605wSMVSUpt7LfLy8ti2bxG5xiRUsoau7cZSz6eEzLz3cDnuIucuH8fV0ZOgtl2r5c7pyjAGitxE\nWq1WBXwETANcgI3Aczqd7rqCvmsBR51OZ17oiQCA/Px8tszfQepWI2SqoW4+TUa60X1Yt2r1ZnI/\nuLi4Mvblik21JY15LzN62zzs7Mx7G9VoNEzrVXn7Fmozr73/EA0ab2PLshyuHuuF2lRYTlNGxsZ9\nD626X+bxl1vTqo31Fl8NBgNLt7xNrls4LYZfwMOhcO1ly+5vyD8SRp/Wb+DnW3pElm8jP3wb+VlN\n36pC6ZrBe8AUYDKQCvwILAN6ltVJq9U+BQwFtt+/ig8u2dnZ/DFtDZ13TsCXO26N5DXxzBv/N9O+\nGlvjDUJFqRPsTPIviXjJPuULA9e0l+jqXTRRmslkYu/yNeRt3oc6S4++gTtNp4yiebu2llC5xmIy\nmdDr9djb25d53019og9THpcJX7+P6MO7ydeDk6vMQ+Pb09i3nRU1LjQEP6+eQMeZm7G9qyKrJEHz\nsBQIW8mW1SfpXTCXAH/r6lbdKNdNpNVqbYFkYJZOp/vzZlsTIBYI1el0+0rpFwDsA84ABoUzA+Em\nuom3twtfT/mTdvMnoi4hfjtTSiXlg+0Me7LmV7sqj7LcASaT6f/bO++wqM6sgf9mgKGLCqhgQ0Wv\nYsMWxIIdS0xiSzS2qDE9a/pmkzVls8mXYrLZbJrpxppEUzQq0dg7RAXUqBcVEEVERUXKwDDDfH8M\nBEGmMjMM8P6eJ08e7j333uOZe9/zlnPOy7oxmxmTZL7OjRYtO577kfHPVYxGSkpKWDf/WabEnSWI\nirIOBxtpSX/2LoY8PKfG+tsTZ08TlZaWcuCXzRT8koTP0Ry8ihTk+0HRbS0IuXcQPQZZnoFubyyx\nxcq4F2kz9SM8zMzqHVrSn0fGbaqznSt7TBNZknQWCfgBO8sPyLJ8FkgHBld3Qdm00rfAW8CJmirZ\nEMnLy4MdgdU6AgB/fVMub6i9ypyuglKpJGiOP+k+p8zKbur5A0MervzKbn3rQ+bGna/kCAD63nCn\n3btrSUlyzfo5zqC4uJif57/BgEcOM/03LyZktmRMTihTzoYyc7WSVtM3svHVT21K5nMGGo2GfL/N\nZh0BQNjIgxw4vMnxSrkwljiD8hWWzCrHLwDGgopfBEplWX7XVsUaOn8myrQ+H2laKN3bJdP5nc2g\n6QM59/wxjjSuvp5MMcWsi1xG1OJe+PtXrBfodDq8thzG08hn0OeGO+nL1zlE57pA3BPvc/96H4L1\n1deGkooaM+aza2x9f5mTNbOMHQfWII1OsUg2sJWW1GsN97cGy9YMfDA07FVrGxcDt8THSZLUB3gK\n6Ftz9Rouvo28KVLmYyrjvdRDV2eHtfZm1CMjOTXwFJuWroK9njS62hiNezEFHa7jE+vO+Hmx+PhU\nbtRu3MilReYNwHjX0TPTxv0U6jgpiUcZEKfG49ZPvBLNdT54LE2i8OEpt9i3tikozibATCL4zZS6\nN+wpakucgRpQSpKklGX55qbJEyi4WVCSJE9gKbBQluU0+6nZ8OjWM4K4nj/QKtF4lU/PvhrhDG6i\nY4+OdHy3I3q9nvz8PFQqT5MhoN7ePuT6esANoyJofVXGT9Zj0pZuY6a6iUWy4y+E8NSLdxB512Tu\ninnIZUIv3RW+6HRgqTqKUtfLhnYmljiD8jqzIVSeKgrl1qmjKKAz8LYkSe+UHfPE4ExuABGyLJ83\n9bDgYNuTUOobEQ8Fc+mJszQrbnvLuTPNExj6dPcGY6/yf+eZ40c4vnMjTdtKDBxnvHZ+s2aNjJ6r\nwJ/4IRHwXfX7EV9HS9DEwS5nY2fo0+hsPmBZt9oLD9qq8skd9w8+Xh3PwumrnJaHYcoWd42ew5Kd\n7yENzzJ7H3U+tA0Y5nK/tTOxxBkkA/nAEGAlgCRJYUAYsKuKbDzQscqxN4E2wHQM6wwmEdFEBoKD\n/Yma1I8NWVs49G0y3dNjUeFFHlc50XULXZ4LpmWnLg3CXuVRIycP7aPki3nc4XmBjK2erEx+hlHz\na7bfdNuHp7M+/jXGp1XeYUxDKatGtWTimLEuZWNnRROVqK3bYU5RosTTD9xm/My/vpnJU5O+dpBm\nFZi3hYrS80OA78zeS47rzNwBd7vUb20N9nBiZp2BLMsaSZI+Ad6VJCkHuAx8DGyXZTmhLPS0KXBV\nluVioFKN4rIRgVpMGxlHp9NRUlJSbYmC2x8bSeHcQnZ8txHNVR0B7XyYPSHWZYbiziRzx3dM8zT0\nJ9qoivE8+itQM2cQFtEFvn6Z5R98S5MDKTTOLyGrVQCFw3pwx4tPNEg7A5QEWlcuIz8oHy/AXQUe\nI37l8NHd9O5ebbChUxnT+2XW/nCUyHv+NCpzLqkxXXyfQ6VqmFOC5ViadLawTHYZ4AHEAY+XnRsA\nbAOGcetIQWAEtVrNt8t3sWm7ltPpvuhKPWjcKJ+BfTXcN6Mzw4b2/kvWx8eHcfPqfz6BOUo8fLi5\nZlyxuxWrgyYI69qFsM/forCwkIKCAto3aYK7e8Ou4eg+qhN5m0/hb2JxvZx4/zSU8ytmf5uGFxN/\nYLlLOIMWzVtxu24F6795ihYD9xPSqWKjo4JcOLWpK138niamn+vux+wsRG2iWuBM6nkefeYQiSmT\nQXHrfrkB3gm8uOAyc2eZTPBuMJRPB+Rev8a212YScT2JTM8Qms9+h67RDavKidOmiUpK2BH7EtP/\nbGFSTo+e1+78nsZrK+/6lbamHf8c4tgcDWttkfznPo5nraHUPRdlqSdBHtEMi763Xjh+UaiuDnLt\n2nXuvm8vR1KnmZTz9kjlX08fZ86sIU7SzHW5+aPX6/Xk5OQQEBCAh4drbATvTJyZgXzywGHyH1nN\n2MzqS33o0fN+nziK1sfj26JyO5IeF8zT3f60uTqrJbh60T5n4rRCdQL78fHnezhyZirmKi6rS9rz\nzapEZt6rrRc9F3uhUCgICgqqbTXqBDqdjvUJcZwpyEAPtFQ1Z3L0nRY70c79e3PkYy0vv/d3RhyL\nIOZaRxQo0KLj15bJJI48hte7p/Gt5ufQl3g0+Dn4uoZoZZyITqdj+14VKCzbevpE+ki+X72LGfcO\ndaxiArui1+vZlJDAz5k5ZCs98C3VMdhbwZxhQxzaUy6npKSE97Z9wu+ehzg67DoElTX+eVo+3vQj\nwwp78nzM4/j6ml9z6R7dj7jHStnZdyUbfwjErcgdTUAxgXOvEmgiDcEzv63RzX8ErolwBk7kzJlU\njp3ualkREABlAH8kFTPjXoeqJbAjpaWlPLlqDav7jEbXqaJW/u9Fatau+YGvYwcT0sz4Dm81Ra1W\nM3fjM2ybmwWeSri55pK/O/KUYmRdPInfyiwZtIjAJoFG7wWGkViIZiTKsCQCXrhskQ7aYmiNKPld\n1xCu24lcu16AXm9dPHBRscgwriuUlpby6orv+G7wFHRVN03x8ubQuNk8u8WxAXcLNr3MtvnljsAI\nbgri517n4e0vWlRk7vbbHuVcnOV7G59bF874AQ9aLC9wDYQzcCIhLZri6ZFt1TV+PlVLQglckYTV\nq9h2+xB2n0oH/4DqhRQK9rbvzZEUy4qnWUtiShK/R6eAuwWftULB7ruy2JDwm1nRwKZBDHR/g+x4\n06MIgKzdLRgV+I5FU1AC10I4AxPo9XoSdyWy4eM40uyQM9emTRv6djNfarkcD8VZxo5qVuPnChzL\nsT27CH39eQafSOZMzO0mZQulHmw9lWpSxlaWpf1CYTfLZ35LW3jwU+42i2Rj+kwg6sYnZKyKpODy\nraPVvCwlGSv6Mkz3Jbd1H2mxDq7A6Yw0/hG3kmE7ltBnzxKG7FjCc5tWcTz1dG2r5lTEmoER9Ho9\nKxesodvPw4jSxHDs/XhSntzC6Mdr9qKPGe7O3uQCUJjvOfXuspfhQ8fX6HkCx3Phh+UMy7tuKNRl\nwbSLoyb+jnilW3+Nt+WdnAGRY+lfOprt+39CLvgVjccVFAoFKk0zugZMYvCo2+tc4cS1h/ay0DOL\n7Nn9Kh0/Aazf+ycvHchgev+GkcsinIERDu9MpNtPw2lZEgZAtxtR7P8yjrz7blTarN1a7p8znD0H\nVrBp/1xQGA/xCw3cw/NPtq9zH1dDRHXFMPUXqoAeO9aR0Nd45q3fiURiO4c7RA+1stj6azxL0Gg0\nFoeBKpVKRkRPYQRTrH6Wq3E09RQLfS+RPbhntedzBkbw2h8ptDueTHRE9TL1CTFNZISLRy795QjK\naXVBIiPtXPUXWIi7uztffDSRySOX4+eZdKtAaS4Rbb/j24/8GDSga42eJXAOxSGGxWKFAqbsWY/i\n6pXqBfV6BqUnE9HBMc7As9T6JDxPjVuDTN4DWHLqD7IHdzMpc7VfJ5aeO+okjWoX4QyMIA3vwEm/\nxErHTndMpGPnqkVZrcfLy4tPP5jCr8v03HfXSmJ6/Uz/7j8xbtAPvP/SLrasHc3I4WZ2ORO4DOGz\n57MryFC24dmMkzz45ARUpyuXZyA/j/7rv+G90UMdpkdEURurr+mqbtsgR596vZ69npaNpPY31lNU\nVGResI4jpomMEN6tIymPbyZ+yRVaX5SQOxyk7fNN7JpV2TUinEVvOKaXKHAeHXr24tg7n7Ly8w9p\ncuIoY69k0Gjxi5waOZHr3n74UsowPxX33jvBob3w6aG3s/b0EYrDLXxGjpY7vRtm/Su1Wk2uv2V7\nLlwPDiA3N9cpCYO1iXAGJhj3dCzX510j41QGd/aIqXbDjvz8fBJ+X41/YAh9B49ukL0sAXQbOoJu\nQ0egVqtxd3dnQC1MvQzoHs2Qn9uwuf0FUJp/D/v/EsSk2+90gmauh5eXF95qjUWyPtcL8G1W/0Nl\nxTSRGRo3bkKPfj2rdQR//rGDw/8eyMSUJ+i1fRo/vjKBwsLCWtBS4Cp4e3vX6hz8xyNep/9XjUFn\nIqpJr6fHch8+jnq1we7XoFQq6Vto2e/UJ0eLn5+fgzWqfYQzqAEXNv2HycFpqNwgxLeUB/y2s3fN\nR7WtlqABE9CoMd/FfsT9y/vQ/hd3UN+UtFhSSquNCqYv7cZ3t71P6+aWZxXXR6Y264jPSdMBIZ5n\nLzKp0a3bztZHxDRRDfDKy4CbphHdleCWKzZ0E9QuPj4+vDnunxQVFbH819Vk6i+h1+sJpgn3Rd2D\nX7+Gu8/vzYyIvI0FW37hA7fzqDu2uuW857lLPLQri4lj7qkF7ZyPcAY1oDAgnJt3+VSXQGnLzrWn\nkEBwE15eXswfNqu21XBpnh45gfYJu1mdsJ8DbXzJC2mC76VcbjubxyTfVkxtII4AxOY2NSL1RCKn\nlv2N4aojXC7xJt5vDOOf/dIuc8Zi444KhC0qqKktkuSD/HFuD1p0NHEPYkL/qXUiSmbT7gTWJF8h\nvUCFh7KUXk2KeWHGEPy8bU8Arcrly5e5cvUKTRs3pXnz6jf0cVXETmcugFar5cgfu2kc2Jz2nSLs\ndl/RAFYgbFGBrbb4Jf574m6sIqXnAehqCHIoVUPjze3pc304j0a/SFAT19w06N9LfuWzvGg0Ae0q\nDur1tLu0lUXDfYnpYzpxrCEgnEE9RjSAFQhbVGCLLf67+XXWDfgQfTt1tef1eghZFclb3ZbSNiTM\nDlrajw07D/Dw0U4UG1nEjcj4jt+fj22wWdTl2MMZiGgiO5Kdlc3378ax4uXfWPX6bxzclWj+IoHA\ngaza+xXrBn1g1BGAoYzGxelJLDz4AFqt1onamefH5ByjjgDgeLNxfL9pjxM1qr+IBWQ7cDEzm19e\nPYB+Txva5tyNoqwu5YnFqRzoE0evB4IZOL5vLWspaGjo9Xo2FK1A39aysgtnJ8fz05aV3BMz28Ga\nWU5aoSc0NiHg1YgTl60v0Ce4FTEyqCGZZ7NYNf0wbdfOJCwn5i9HABCkaU+H/fcgP9WUTct316KW\ngobI7wc3cC7G8tGpWwBsL17rQI2sx11hfhrbzQIZgXmEM6gha57bT+cTpsPPQnJ7kvp/fqSfyXCS\nVgIBJN7YjzLUup3y0n2OW7QVprOIbGK61+957TSju4U4SZv6jXAGNSA5/hiND/S3SLbtlcHs/PKI\ngzUSCCooUVg/faJVadBoLKvZ4wzuH9GVkIs7qz+p1zNIvZOBfUWFX3sgnEENSPwhg2ZFkkWyChRc\n3e3hUr0uQf3GW2d9cTUvtV+1dbhqi84d2rFosILws6tBU1H3S3U9jTFXlvLxQ6NqUbv6hVhArgHa\ny9aZT3klgMLCQrFZuMApxIZNZMORz9H3KLD4ms5q1wt0iI3uRUyvIpZuiOPUdT0eCh2xUS2Ycvts\nrlzJr2316g3CGdQApbt1ob16N22Dj4cWOI/uHSORfo/mZI8tFsnr01WMbzbdwVrZhpeXFw9Ojq10\nTJSLty9imqgGqNoUo8fyaR+3tnl23RxHIDDHrNAFeO83X1pBXwK9fhtPTGTD2PzdUrKzL5KdfbG2\n1XAKwhnUgBEP9OVs070WyWopoflIByskEFRhQNehLLjxLj5bQjG2XKXLgR5f3slb4z8Tve0ycq5f\nZea654jOfY6oG88yfd2zXDa2t3U9QUwT1YCQli1wG7OPkpX98MD0otvpzr8w/4GBTtJMYAkXL2Zz\n/GQ6zZs1IaJLx3rbEI7pfRedM3uwcvliDvpu5VLHM5R66/DODKBLZjTDvScwYdI0lErRNyznpb3/\nY/O8fFAYyn1viS5g4bf/47PbX6tlzRyHcAY1ZM474/nk2hLC4mbiSfULw2c6/cqYDzrg72+/CosC\n2zl1OoM3P0hmT3Ibrqsj8VBeok+nOO6fGsRd42+rbfUcQljLdrzY8m00Gg2ZmedR56pp1qw5QRGu\nWZyutkn0PweKmzp4CgWH/U1vhFPXEc6ghqhUKv729VTWLo7j1G9a/A9H0qgkBA1qLnWIp/HQQiY/\n2peQ1i1qW1UBcDYji7lPy6RcKlsodYMSgjhwKoLjbx9Bo9nP3ZOia1dJB6JSqWjXrn1tq+Ewrude\n47f4xVxx34ZWdQn0CjyKWxJCLGMHPoi3t7dF9/HV3TrS9yt1nZBbR2CRM5AkSQm8AdwH+AO/AY/J\nsnzJiPxU4B9AR+AC8BWwSJblUnso7Wq4ubkx6bHR6B/Vc/LPFLLT9+ET4MXEfgPqRK34hsR/F/9B\nyqUZ1Z67UdKDz1bJTJ5QKqZM6iC7D/3CYc1LhE89S+NKLVsqmqLdfPrLCka2/C89Og8we687Svtw\nPHs/2uaGgA+3yxpuL6mfo8ZyLB0Z/AuYBcwErgKfAmuAmKqCkiSNBZYDCzA4jV7Al2XPeqPmKrsu\nCoWCLt0kunSzLBFN4FxKS0vZl2S6Z3g0Yyi//X6AcaPNNxgC1yHhyGbkJk8jRVW/yKvygohpJ9m7\n+WG8UpfSqb3prOUFw+fhv9uHzdok9MBItx7MH+maYbf2wqwzkCTJA0PD/rgsy9vKjk0D0iRJ6i/L\n8oEqlzwErJZl+dOyv9MkSYoA5lLPnYHAtVGr1eTmm97/V68I5lxmrpM0EtgDvV5PfPZ7dBxhPtqn\nXWw625cvolP7FSblFAoF82LuZR732ktNl8eSkUEk4Af8VSBEluWzkiSlA4OBqs7g30DVlEc90MRm\nLQVWk5+fx873n8YvLwt9t1EMnf1EbatU6/j4+BDY6AamIgTd9BcIby8WVS0hJfEEZ1edQHVJiV6v\npyRYT+tpEp37dnWqHvFJWwkcdNDoeU0RnJMVuCmhdRc9dNjDucw0WrdsZ/SahoglzqBV2f8zqxy/\nALSuKizL8qGb/5YkqRHwMBBni4INCZ1Ox4/715FcfBpvHxUdtK24O/ou3N2tX+ff9ekrzM78HqUC\nTu/8g+TwHvQcMMwBWtcdFAoFA/sUceo3vWFHl2qIbLeb4UPG1ug5er2epB3byEk5SXDnCHrEDK1X\nYasZcjrHXt5Hn/gOTC+s/E4dX32auNtW0uW1/oR1cc5C9amrcQS3KbnleEkx/PBrEElebcju3gZ0\nelpvSKO3/hyN8ldxb8sXnaJfXcGSVsYHKJVluWot3GLA5OqoJEnewC9lci/YpGEDYXPSNt66uoJj\no9TQtKxkxfUEPtu8gWcDpjG+d6zpG1TBq+gayrL2p627mkOZ6fZVuI7yzKMDOXRsFUfP33uLQwj0\njudvc5vVqOFO//Mox//xLMMP/UFrrZazHh5s7BdF97f/Qxupc03Vr3XST6SSOS+J+85U7zAj1OFE\n7Azn17k70X9ZSrtu4Q7XqVR5a+0lnRY+XNmKpBmDQeX21/Fz7XtwLq8zF947wLRYfb1y0jXF7B7I\nkiRNAlYDHjdHA0mStAf4Q5blp4xcFwj8CnQGRsqyfNgCfRpkSc9tR/YwQ/0eF6OqfzGDD+r4VrmA\nsb1HWHzPw9s3kfPfeXQuucCWoBimLo7Dx8fHXirXac6fz2bh/+1i64EAzl9pi793DoN7ZbHg/vaM\nHtXL5vsWFxezNiqKe5KTbzm3qk8fpuzfX6drU+n1elYO/owZe8dZJL8yKo5p+x5weGTWp+sewu/O\nzysd2/abD0sG3gH+1dvbLTWfjTkLiO1Xb0bLNfZqlowMyjMtQqg8VRTKrVNHAEiSFAZsBnyBwbIs\n/2mpQg1x4/O3ji3l4nTjv+Xlvm68s2olfVtbHtrWutsAvN/czalzqYzqGklBgY6CgrppW1s2gTeF\np6cPi/41hvz8PLKyLhIQ0JxmzboDNXv/tn+5mPHVOAKA2w8dYt2Hi4mZNcfm+4P9bWEN8Rv2MHy/\n5VVNRybcxvqv4oiecEvQoV0ot0WArg83roJv04pziYUtjDoCAF17P74+8Bu9wlyvSqstBAebDoyw\nBEtcdjKQDwwpP1DW2IcBu6oKS5IUDGzH0MuPtsYRNEROnz3D/k7nzcrFd7vI0dPWmTIoOJjuvaPs\nVp8+9c8UNn+2hu3L11FQYHlZZFfFz8+fjh070qxZM7vcT38qBWNjr0aAVj5pl+fUFrk/ZxFSarmt\nmukDyV9XbSqSXRkefQ+ZW7tXOnbDw/wo+JKHKH99M2ZHBrIsayRJ+gR4V5KkHOAy8DGwXZblhLLQ\n06bAVVmWS4BPyv4eDhRLklReMlFvLEmtIXMk40/yx5gfoKkjVCT9cJTu4c6N1AC4eDaTgy/+SK/9\nfszIb4WGEn7/71dcndCE2BdniAStMkr8/NFT/XhdD2j9/JyskX3xPu9mXqgKXhmOn5N3c3NDUt3P\nldQXCGyvNjxXa363Nv+yLOMDqzZTsFJGlaOlsIs3Ec+PpnWnhhdpZGmYysIy2WWAB4bIoMfLzg0A\ntgHDJElKACZi+B4SbrpeAWgBUb+5CgFe/pCvAx8zP0WBlkZezm9M8vPzSL5/FXOP9PjrmAoPbs/o\nzPUPC1ir+ZZxr8216zPz8m/w6d4vSVAdRaPU0l3Rnqmhk+kR3sP8xbVI15n3sX/pNwzIvX7LuR1N\nA+k52752cjpa65f09NZtwVz9PfR69uxMZMsv2dzIccddpadDdx1PvVCxdjF6wDx+3HqNC3n/IbRn\nHl0U2ZwoKQUPIx2VqxpGefYiadM+wl/MpktBWaLoafg2Yw0hcU/ZFMVXlzG7gOxk9A1tzUCj0TD8\nwIOkTDb9O3RYC9t7f+b08hab313F1Hca4071vcItzVNovf1emgYF2uV52VcuMivhMZJmZoFbRa8y\neJ8Xb+Q+yYS+d9jlOY5i2wfv0f39RUQUVmzReNTPn5PPvcDQRx43caVl1Oaawda7VzNtp3V12H8Y\ntJVhP02x+Znnz13ktSf3kBY/DKUm7K/jpWhoFLaViQ+WMHN+xSJw8vF9HDq/lBzVDlbkBXBhXp+/\nzgUkZzHk9AnC3XMpvuDNbUFP47Ham3tXV46Qv0YBO7/wZ+BddafmfHCwv1MWkAUORKVSMbowkhT1\nQfA2Mgwv1jEqt2et1DlyP3ANd4w39MOyO/D9qq2M+ts9dnneawmLSJqddUvY5+UBRby95lPGFI1y\n6XpPw594hiO9+5K4ehWely9T3Kw5LafNYGh03S9frhvkiWanBpWFA/wSStAOsj166sqVqzw/9w+u\nHJl7y+KmEhX56WNZ/u/TwPa/HELPiAH0jBhAYWEhg04ks+iTFSQOyqe4sZancvZx+2R12R0KuHT+\nVeK/Hw9ULjPhjQeagiKb9a6riMleF+CFkY8zfkkLyNfeerJQy5hvglk4onYyiN0LTdcWdMMNpRkZ\nSykoKGBPcLLRhLAz466xcv/3dnmWI+kxeAix/1vMkFU/EvvBJ3iFNuU/v83gld09eX3bUNbs+Ki2\nVbSJAfcPZ1ObfRbL/95qP/0fsD108/P393L5iOlyEHp1OD99YSg1cjM+Pj5E94nmp7s/Ym3+s8xb\nnsu4YZVlmrXS4B5zgovulcuP/BqeQv+Jlodx1xfEyMAFcHd354uJb/PNxpXEaRM45XcJpZuCsBvB\njFH2Yf5dM2tt/rK4lQqMZ/pzWXEDn87BdnnW1as5XAnNw+hr6aMkW3fZLs9yFhqNhqXHH6Dl7CMY\nVnzSyDh/jPV7fBk/qG6tIfj5+aF93J+UV9PpVBhmUjbVK4PCR71s3sNDo9GQuMMbhQXh83lpsXy3\nZANzH6k+MbNHx26cPteq2j5G41YKtj2pw+fH4wRdUZHRpYTQvw8xWeparVazZN8XZCjTaFPajjkD\nHrC4NLYrI5xBDck8n8WmDUkoUTB2Qh+aN7etYXRzc2P+sFnMZxY6nY7gYH+uXi00f6GDaTKp8W5a\npwAAD/BJREFUM2c3nKdtSfX1en7vmcGIOybZ5VmBgUE0P9qI85FG/t35Olp61K19IbYcWE3QpCOV\njvm10nByzzrGU7ecAcCgOSPZqd1E5nuXGJrT75bGWo+eXU0Okv2kjmHzbS/rcTT5BFdO9bZoQkqJ\nF6eOmpbxVvREXbAC7yr7TynUEYz6+zQ0T2rIy8ujU9OmJrOSb+TlMnv7ZI7OTEDhCfpi2LR8HUuH\n/Ugj/wALtHVdhDOwEbVazSvPbCBpW0c0V+8GYNUHu+gbu4uX3x5fo9h+Nzc33NysD+NzBH3HxLB+\n7leM/vo6odrGlc5tbXWG0IVD7BZa6uPjw6DLkXyn31vtVFGnjUFMG2iftQlnUaDJxaOaTmOpW92d\nkx4yfzRZsZks/3I7Xrt0+F32QqFXkBespijGjR7zo4ho28r8jUxQWFCMwnS1m0poby1NVImRg+5n\nydKtRE/bhH8T0Gph/0+dGCg9CxjW7gIDzQdBLN73AUfnJqAoe+UVnnB0TgKLV/2Pv49+yWJ9XRHh\nDGzkH4+tI3n9HBS4/9U30lwZwp6V0bxUsoJ3PrY9gsLVGP/6/ezruZmCtWfwSi+m1EOBuo8fXR4Y\nTVup5sXITqYc4njaEhReqfRVaEh4X0PqYx7gWfbF6fW02O7DwiYLUKnqVnTyiD5T+d/m/xE69sJf\nx7QaCFL3q0WtKqPValm7dh/nzxfi7g5RUW3o2zfC5DUhbVoS8tpkAIqKitDr9XadKmnfsRXu/qmQ\n19y8MBAQaNobeHh4MHfCKnZuW8UpbTJKXTDjb3uQxgHWFVNOVZ3+yxGUo3CDM54pVt3HFRHOwAYS\nD53gyNYBKKoxnxIVhzZ155ScRkfJssSV/Px8vj7wFanKNLRoaaTzZ3bXaXQO7Wlv1W1mwN2xcLd9\n76nVavn+1wV0HPATQ2ZWTA2NUMMnq7zZc6MNgc0j6OUuMb3dVDq07mBfBZxA0yaBDCx9lb0/vUOj\nQacpPOuHV1Is94/9Z22rhkajYdE7m9myVUXKyZEoFIZpDk/Pk/Tpt5F7pzVl4qT+Zu/jiOiuli1D\n6RydiLzZ/Bakep+j3HlvR7Ny7u7ujIiZhWGfLtsILK5+GjioyD5Z7LWJyDOwgXdfi2PDR6anKyY+\n+wML/m56zrS4uJiXtrzE1uAdnBuVBaqKqRGvUyr6HYzkseaPMLx7/Yx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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.scatter(*np.random.uniform(0.1, 0.9, (2,100)),\n", " s=np.random.randint(10, 200, 100), \n", " c=np.random.random(100), cmap='hsv')\n", "pass" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Gettting a list of colors from a colormap\n", "\n", "Giving an argument of 0.0 < x < 1.0 to a `colormap` gives the appropriate interpolated color." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[ 0. , 0. , 1. , 1. ],\n", " [ 0. , 0.50196078, 0.74901961, 1. ],\n", " [ 0. , 1. , 0.5 , 1. ]])" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# find the bottom, middle and top colors of the winter colormap\n", "colors = plt.cm.winter(np.linspace(0, 1, 3))\n", "colors" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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TVvdv3YP+rXuQmpqCo6NTnU2vLZSBAIDBYT4cTMgDW9P2SfTxt8PFpeyqVoLq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\nq7r6cF+YiiWK29S/O6iKuRV3m9+a3DC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7+mfOZEVSGNUMomPwyU2nXctou/rVaDQUBlbS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\nXWSBJT74YB3z5wdz7dpwwAOVKp3PPlvFzJmtiI+XHNpXp4I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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.scatter(*np.random.uniform(0.1, 0.9, (2,100)),\n", " s=np.random.randint(10, 200, 100), \n", " c=colors)\n", "pass" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Styles" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "['seaborn-ticks',\n", " 'seaborn-white',\n", " 'seaborn-whitegrid',\n", " 'seaborn-colorblind',\n", " 'seaborn-pastel',\n", " 'seaborn-poster',\n", " 'seaborn-paper',\n", " 'ggplot',\n", " 'seaborn-deep',\n", " 'bmh',\n", " 'seaborn-talk',\n", " 'seaborn-dark',\n", " 'dark_background',\n", " 'seaborn-bright',\n", " 'fivethirtyeight',\n", " 'seaborn-notebook',\n", " 'classic',\n", " 'presentation',\n", " 'seaborn-muted',\n", " 'seaborn-dark-palette',\n", " 'grayscale',\n", " 'seaborn-darkgrid']" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "plt.style.available" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": 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GbQNdaWlp7uI+wcmrrAFGjhzJrl27yMnJIS4ujo0bN/Kvf/2LMmXKcOWVV9KzZ8/TPk6b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\nYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "with plt.style.context('classic'):\n", " plt.plot(x, y)\n", " plt.axis([0, 2*np.pi, -1.05, 1.05,])" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": 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xqs6FIAYqojCRqpPjNq+S9RtLzTA7wj9ZLUW2t0vNsHqM/uNVAiZndC4BOcBA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\npDFQERFRSGOgIiKikPb/ARSOejWNXBGiAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "with plt.style.context('fivethirtyeight'):\n", " plt.plot(x, y)\n", " plt.axis([0, 2*np.pi, -1.05, 1.05,])" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "image/png": 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ff58ePXpc9PJRebMXzYXCAqx7hqP8zecRV0/5+mH1ewBsG3vhWzLdtBCX4LSXxQYMGEBh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\nJiUghBBeTEpACCG8mJSAEEJ4sf8HGMhyf4w+Y18AAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "with plt.style.context('ggplot'):\n", " plt.plot(x, y)\n", " plt.axis([0, 2*np.pi, -1.05, 1.05,])" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "image/png": 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45RYpTYjey7KsnLjZXNtEm1p6hw4dyssvv0wqtb7Btrq6mrfeeovdd98973vi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\ng8EhD/af//wHfX19+PKXvzzgvWnTpuH06dMF2eD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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "with plt.xkcd():\n", " plt.plot(x, y)\n", " plt.axis([0, 2*np.pi, -1.05, 1.05,])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Creating your onw style" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Many, many options can be configured." ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "RcParams({'agg.path.chunksize': 0,\n", " 'animation.avconv_args': [],\n", " 'animation.avconv_path': 'avconv',\n", " 'animation.bitrate': -1,\n", " 'animation.codec': 'mpeg4',\n", " 'animation.convert_args': [],\n", " 'animation.convert_path': 'convert',\n", " 'animation.ffmpeg_args': [],\n", " 'animation.ffmpeg_path': 'ffmpeg',\n", " 'animation.frame_format': 'png',\n", " 'animation.html': 'none',\n", " 'animation.mencoder_args': [],\n", " 'animation.mencoder_path': 'mencoder',\n", " 'animation.writer': 'ffmpeg',\n", " 'axes.axisbelow': True,\n", " 'axes.edgecolor': 'white',\n", " 'axes.facecolor': '#EAEAF2',\n", " 'axes.formatter.limits': [-7, 7],\n", " 'axes.formatter.use_locale': False,\n", " 'axes.formatter.use_mathtext': False,\n", " 'axes.formatter.useoffset': True,\n", " 'axes.grid': True,\n", " 'axes.grid.axis': 'both',\n", " 'axes.grid.which': 'major',\n", " 'axes.hold': True,\n", " 'axes.labelcolor': '.15',\n", " 'axes.labelpad': 5.0,\n", " 'axes.labelsize': 16.5,\n", " 'axes.labelweight': 'normal',\n", " 'axes.linewidth': 0.0,\n", " 'axes.prop_cycle': cycler('color', [(0.2980392156862745, 0.4470588235294118, 0.6901960784313725), (0.3333333333333333, 0.6588235294117647, 0.40784313725490196), (0.7686274509803922, 0.3058823529411765, 0.3215686274509804), (0.5058823529411764, 0.4470588235294118, 0.6980392156862745), (0.8, 0.7254901960784313, 0.4549019607843137), (0.39215686274509803, 0.7098039215686275, 0.803921568627451)]),\n", " 'axes.spines.bottom': True,\n", " 'axes.spines.left': True,\n", " 'axes.spines.right': True,\n", " 'axes.spines.top': True,\n", " 'axes.titlesize': 18.0,\n", " 'axes.titleweight': 'normal',\n", " 'axes.unicode_minus': True,\n", " 'axes.xmargin': 0.0,\n", " 'axes.ymargin': 0.0,\n", " 'axes3d.grid': True,\n", " 'backend': 'module://ipykernel.pylab.backend_inline',\n", " 'backend.qt4': 'PyQt4',\n", " 'backend.qt5': 'PyQt5',\n", " 'backend_fallback': True,\n", " 'boxplot.bootstrap': None,\n", " 'boxplot.boxprops.color': 'b',\n", " 'boxplot.boxprops.linestyle': '-',\n", " 'boxplot.boxprops.linewidth': 1.0,\n", " 'boxplot.capprops.color': 'k',\n", " 'boxplot.capprops.linestyle': '-',\n", " 'boxplot.capprops.linewidth': 1.0,\n", " 'boxplot.flierprops.color': 'b',\n", " 'boxplot.flierprops.linestyle': 'none',\n", " 'boxplot.flierprops.linewidth': 1.0,\n", " 'boxplot.flierprops.marker': '+',\n", " 'boxplot.flierprops.markeredgecolor': 'k',\n", " 'boxplot.flierprops.markerfacecolor': 'b',\n", " 'boxplot.flierprops.markersize': 6.0,\n", " 'boxplot.meanline': False,\n", " 'boxplot.meanprops.color': 'r',\n", " 'boxplot.meanprops.linestyle': '-',\n", " 'boxplot.meanprops.linewidth': 1.0,\n", " 'boxplot.medianprops.color': 'r',\n", " 'boxplot.medianprops.linestyle': '-',\n", " 'boxplot.medianprops.linewidth': 1.0,\n", " 'boxplot.notch': False,\n", " 'boxplot.patchartist': False,\n", " 'boxplot.showbox': True,\n", " 'boxplot.showcaps': True,\n", " 'boxplot.showfliers': True,\n", " 'boxplot.showmeans': False,\n", " 'boxplot.vertical': True,\n", " 'boxplot.whiskerprops.color': 'b',\n", " 'boxplot.whiskerprops.linestyle': '--',\n", " 'boxplot.whiskerprops.linewidth': 1.0,\n", " 'boxplot.whiskers': 1.5,\n", " 'contour.corner_mask': True,\n", " 'contour.negative_linestyle': 'dashed',\n", " 'datapath': '/Users/cliburn/anaconda/envs/py35/lib/python3.5/site-packages/matplotlib/mpl-data',\n", " 'docstring.hardcopy': False,\n", " 'errorbar.capsize': 3.0,\n", " 'examples.directory': '',\n", " 'figure.autolayout': False,\n", " 'figure.dpi': 80.0,\n", " 'figure.edgecolor': (1, 1, 1, 0),\n", " 'figure.facecolor': (1, 1, 1, 0),\n", " 'figure.figsize': [6.0, 4.0],\n", " 'figure.frameon': True,\n", " 'figure.max_open_warning': 20,\n", " 'figure.subplot.bottom': 0.125,\n", " 'figure.subplot.hspace': 0.2,\n", " 'figure.subplot.left': 0.125,\n", " 'figure.subplot.right': 0.9,\n", " 'figure.subplot.top': 0.9,\n", " 'figure.subplot.wspace': 0.2,\n", " 'figure.titlesize': 'medium',\n", " 'figure.titleweight': 'normal',\n", " 'font.cursive': ['Apple Chancery',\n", " 'Textile',\n", " 'Zapf Chancery',\n", " 'Sand',\n", " 'Script MT',\n", " 'Felipa',\n", " 'cursive'],\n", " 'font.family': ['sans-serif'],\n", " 'font.fantasy': ['Comic Sans MS',\n", " 'Chicago',\n", " 'Charcoal',\n", " 'ImpactWestern',\n", " 'Humor Sans',\n", " 'fantasy'],\n", " 'font.monospace': ['Bitstream Vera Sans Mono',\n", " 'DejaVu Sans Mono',\n", " 'Andale Mono',\n", " 'Nimbus Mono L',\n", " 'Courier New',\n", " 'Courier',\n", " 'Fixed',\n", " 'Terminal',\n", " 'monospace'],\n", " 'font.sans-serif': ['Arial',\n", " 'Liberation Sans',\n", " 'Bitstream Vera Sans',\n", " 'sans-serif'],\n", " 'font.serif': ['Bitstream Vera Serif',\n", " 'DejaVu Serif',\n", " 'New Century Schoolbook',\n", " 'Century Schoolbook L',\n", " 'Utopia',\n", " 'ITC Bookman',\n", " 'Bookman',\n", " 'Nimbus Roman No9 L',\n", " 'Times New Roman',\n", " 'Times',\n", " 'Palatino',\n", " 'Charter',\n", " 'serif'],\n", " 'font.size': 10.0,\n", " 'font.stretch': 'normal',\n", " 'font.style': 'normal',\n", " 'font.variant': 'normal',\n", " 'font.weight': 'normal',\n", " 'grid.alpha': 1.0,\n", " 'grid.color': 'white',\n", " 'grid.linestyle': '-',\n", " 'grid.linewidth': 1.0,\n", " 'image.aspect': 'equal',\n", " 'image.cmap': 'Greys',\n", " 'image.composite_image': True,\n", " 'image.interpolation': 'bilinear',\n", " 'image.lut': 256,\n", " 'image.origin': 'upper',\n", " 'image.resample': False,\n", " 'interactive': True,\n", " 'keymap.all_axes': ['a'],\n", " 'keymap.back': ['left', 'c', 'backspace'],\n", " 'keymap.forward': ['right', 'v'],\n", " 'keymap.fullscreen': ['f', 'ctrl+f'],\n", " 'keymap.grid': ['g'],\n", " 'keymap.home': ['h', 'r', 'home'],\n", " 'keymap.pan': ['p'],\n", " 'keymap.quit': ['ctrl+w', 'cmd+w'],\n", " 'keymap.save': ['s', 'ctrl+s'],\n", " 'keymap.xscale': ['k', 'L'],\n", " 'keymap.yscale': ['l'],\n", " 'keymap.zoom': ['o'],\n", " 'legend.borderaxespad': 0.5,\n", " 'legend.borderpad': 0.4,\n", " 'legend.columnspacing': 2.0,\n", " 'legend.edgecolor': 'inherit',\n", " 'legend.facecolor': 'inherit',\n", " 'legend.fancybox': False,\n", " 'legend.fontsize': 15.0,\n", " 'legend.framealpha': None,\n", " 'legend.frameon': False,\n", " 'legend.handleheight': 0.7,\n", " 'legend.handlelength': 2.0,\n", " 'legend.handletextpad': 0.8,\n", " 'legend.isaxes': True,\n", " 'legend.labelspacing': 0.5,\n", " 'legend.loc': 'upper right',\n", " 'legend.markerscale': 1.0,\n", " 'legend.numpoints': 1,\n", " 'legend.scatterpoints': 1,\n", " 'legend.shadow': False,\n", " 'lines.antialiased': True,\n", " 'lines.color': 'b',\n", " 'lines.dash_capstyle': 'butt',\n", " 'lines.dash_joinstyle': 'round',\n", " 'lines.linestyle': '-',\n", " 'lines.linewidth': 1.75,\n", " 'lines.marker': 'None',\n", " 'lines.markeredgewidth': 0.0,\n", " 'lines.markersize': 7.0,\n", " 'lines.solid_capstyle': 'round',\n", " 'lines.solid_joinstyle': 'round',\n", " 'markers.fillstyle': 'full',\n", " 'mathtext.bf': 'serif:bold',\n", " 'mathtext.cal': 'cursive',\n", " 'mathtext.default': 'it',\n", " 'mathtext.fallback_to_cm': True,\n", " 'mathtext.fontset': 'cm',\n", " 'mathtext.it': 'serif:italic',\n", " 'mathtext.rm': 'serif',\n", " 'mathtext.sf': 'sans\\\\-serif',\n", " 'mathtext.tt': 'monospace',\n", " 'nbagg.transparent': True,\n", " 'patch.antialiased': True,\n", " 'patch.edgecolor': 'k',\n", " 'patch.facecolor': (0.2980392156862745,\n", " 0.4470588235294118,\n", " 0.6901960784313725),\n", " 'patch.linewidth': 0.3,\n", " 'path.effects': [],\n", " 'path.simplify': True,\n", " 'path.simplify_threshold': 0.1111111111111111,\n", " 'path.sketch': None,\n", " 'path.snap': True,\n", " 'pdf.compression': 6,\n", " 'pdf.fonttype': 3,\n", " 'pdf.inheritcolor': False,\n", " 'pdf.use14corefonts': False,\n", " 'pgf.debug': False,\n", " 'pgf.preamble': [],\n", " 'pgf.rcfonts': True,\n", " 'pgf.texsystem': 'xelatex',\n", " 'plugins.directory': '.matplotlib_plugins',\n", " 'polaraxes.grid': True,\n", " 'ps.distiller.res': 6000,\n", " 'ps.fonttype': 3,\n", " 'ps.papersize': 'letter',\n", " 'ps.useafm': False,\n", " 'ps.usedistiller': False,\n", " 'savefig.bbox': None,\n", " 'savefig.directory': '~',\n", " 'savefig.dpi': 72.0,\n", " 'savefig.edgecolor': 'w',\n", " 'savefig.facecolor': 'w',\n", " 'savefig.format': 'png',\n", " 'savefig.frameon': True,\n", " 'savefig.jpeg_quality': 95,\n", " 'savefig.orientation': 'portrait',\n", " 'savefig.pad_inches': 0.1,\n", " 'savefig.transparent': False,\n", " 'svg.fonttype': 'path',\n", " 'svg.image_inline': True,\n", " 'svg.image_noscale': False,\n", " 'text.antialiased': True,\n", " 'text.color': '.15',\n", " 'text.dvipnghack': None,\n", " 'text.hinting': 'auto',\n", " 'text.hinting_factor': 8,\n", " 'text.latex.preamble': [],\n", " 'text.latex.preview': False,\n", " 'text.latex.unicode': False,\n", " 'text.usetex': False,\n", " 'timezone': 'UTC',\n", " 'tk.window_focus': False,\n", " 'toolbar': 'toolbar2',\n", " 'verbose.fileo': 'sys.stdout',\n", " 'verbose.level': 'silent',\n", " 'webagg.open_in_browser': True,\n", " 'webagg.port': 8988,\n", " 'webagg.port_retries': 50,\n", " 'xtick.color': '.15',\n", " 'xtick.direction': 'out',\n", " 'xtick.labelsize': 15.0,\n", " 'xtick.major.pad': 7.0,\n", " 'xtick.major.size': 0.0,\n", " 'xtick.major.width': 1.0,\n", " 'xtick.minor.pad': 4.0,\n", " 'xtick.minor.size': 0.0,\n", " 'xtick.minor.visible': False,\n", " 'xtick.minor.width': 0.5,\n", " 'ytick.color': '.15',\n", " 'ytick.direction': 'out',\n", " 'ytick.labelsize': 15.0,\n", " 'ytick.major.pad': 7.0,\n", " 'ytick.major.size': 0.0,\n", " 'ytick.major.width': 1.0,\n", " 'ytick.minor.pad': 4.0,\n", " 'ytick.minor.size': 0.0,\n", " 'ytick.minor.visible': False,\n", " 'ytick.minor.width': 0.5})" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "plt.rcParams" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Overwriting foo.mplstyle\n" ] } ], "source": [ "%%file foo.mplstyle\n", "axes.grid: True\n", "axes.titlesize : 24\n", "axes.labelsize : 20\n", "lines.linewidth : 3\n", "lines.markersize : 10\n", "xtick.labelsize : 16\n", "ytick.labelsize : 16" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "image/png": 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UfaXU2oCEz9tzqoBrxcYMtD6RoSy6q/u9ApBkIISlUhL6MHNcsqe9dtclXC6X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\nAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "with plt.style.context('foo.mplstyle'):\n", " plt.plot(x, y)\n", " plt.axis([0, 2*np.pi, -1.05, 1.05,])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Customizing plots" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "image/png": 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cmYsjWzINH+5hzRon7dr5uPPO4lVOOjci5/JSZBoyJJ0aNQKMH+9hyZLwvA23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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.rcParams.update({'font.size': 22})\n", "\n", "fig = plt.figure(figsize=(8,6))\n", "ax = plt.subplot(1,1,1)\n", "plt.plot(x, y, color='red', linewidth=2, linestyle='dashed', label='sine curve')\n", "plt.plot(x, np.cos(x), 'b-', label='cosine curve')\n", "plt.legend(loc='best', fontsize=14)\n", "plt.axis([0, 2*np.pi, -1.05, 1.05,])\n", "plt.xlabel('x')\n", "plt.ylabel('sin(x)')\n", "plt.xticks([0,0.5*np.pi,np.pi,1.5*np.pi,2*np.pi], \n", " [0, r'$\\frac{\\pi}{2}$', r'$\\pi$', r'$\\frac{3\\pi}{2}$', r'$2\\pi$'])\n", "plt.title('Sine and Cosine Plots')\n", "plt.text(0.45, 0.9, 'Empty space', transform=ax.transAxes, ha='left', va='top')\n", "pass" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Plot layouts\n", "----" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "image/png": 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IRaSJn4YtJxv3xK8I1KpNQefoPIv1lJKS8AwZiv3Aflzz5qhOI0RYfL7xU4JGkBta3qI6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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(2,2,figsize=(8,8))\n", "axes[0,0].plot(x,y, 'r')\n", "axes[0,1].plot(x,y, 'g')\n", "axes[1,0].plot(x,y, 'b')\n", "axes[1,1].plot(x,y, 'k')\n", "for ax in axes.ravel():\n", " ax.margins(0.05)\n", "pass" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "image/png": 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y5coe0bevORsivvusXGnjxhurligx3KmKCswGOpbzmQe4j1JOzkII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\nMLiFcRwGg8FgcAvjOAwGg8HgFv8DbIbeqyG7/rkAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ax1 = plt.subplot2grid((3,3), (0,0), colspan=3)\n", "ax2 = plt.subplot2grid((3,3), (1,0), colspan=2)\n", "ax3 = plt.subplot2grid((3,3), (1,2), rowspan=2)\n", "ax4 = plt.subplot2grid((3,3), (2,0), colspan=2)\n", "axes = [ax1, ax2, ax3, ax4]\n", "colors = ['r', 'g', 'b', 'k']\n", "for ax, c in zip(axes, colors):\n", " ax.plot(x, y, c)\n", " ax.margins(0.05)\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Seaborn\n", "----" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [], "source": [ "sns.set_context(\"notebook\", font_scale=1.5, rc={\"lines.linewidth\": 2.5})" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [], "source": [ "import numpy.random as rng" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Density plots" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "image/png": 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It3iiSZd4muq1WtibKgtSZslHtKrL8tFXJmTSWeLNAHallF1rHbldWi7gW+Y5\naK3HgXHglFKqBvi8UurzWutVU11VVRVttM6rypQyQuUMn+gL///GPfXhpVQuV5DCgjEKCldfwjnj\nc2G351C0xLmLj6107lJqK67OQ/HOBZb82STy55UJZURLAnYaMgwjPIZdn2ITUqIhS7uS5or1bx3X\ndovXc303OUqpI8Ck1vpkxOHTQD5QDoyuVuDwsHe1UzakqqooI8qILOdM2whgbkc7Nz3H8LS5laXH\n42XKN0eQ1bME+nx+7PYAufnXnltUmId3ajaqc5czP79AQZ4T3+wC7d3j1/1sEv3zyoQyoiVd4mlo\n1DPLnN/s1UynJV0hNWWytCtJTgJTwB2hA0qpFqAFeHaJ8/8U+MtFx24BhrTWqwZrsT6dVn6FzXWp\n1x0eUl1qphiWLvHEkhZ2GuqNmHDWkEYzxEOqy65d2pXKH0yZRGvtV0o9CDyglBoFhoGvA09rrV+2\nln2VA2Na63nga8BjSqlPA48Ad2ImUflUUt5AFhj3zoU39GmpS52u2MWqS/PoGPBJwE4waWGnob6I\nJV31adjCvmZpl8wUT7TPAd8FHgKeBDqA91qP3YY5Y/xWAK3148B7MBOtnAI+A3xca/2PCa5z1uiM\n2B9gc23q3shWl5nj3VMz8+GMbCL+pIWdhnqsFnZZUS5F7vSaIQ5Xl3ZNTPmlSzzBrBnin7G+Fj92\nFHAsOvYIZutaJECHlb3QBjTXpnYLO2RgdJqtKZSNLZNJCzsNhZZ0NaXwBb0aWdolxPU6rSVdtRVu\n8nNTtz0VGbD7x5ZdYCBiTAJ2mgkGDfpGzCDXnMJdZqupKZddu4SIZBgGndYOfC0pfm1XFLvCGw7J\nOHbiSMBOM0MTMywEzCW0TSl+Ua8kNPEstLRLiGw3GLFDVypPOANwOuzhve1l167EkYCdZiJniDen\n+EW9ElnaJcS12nomwt+nw8qJWiufgly/iSMBO82Exq8BmmrSOWDLrl1CRLrUbQZsu81GY3XqJ0QK\nZTwbGp8mGFw16Z2IgdSd1SCWFGphVxTn4c7LweeNLjtRqqkqk6VdQhiGgddrTjS70GlmOKstz2Nu\nZoq5RZeF1+uBFIqLoRb2QsBgZHLmmvwKIj4kYKeZXmsNdjptqbmU3BwHZUW5jHvn6JdJKyJLeb0e\nHj/WRl6+m0vWlpq5OTaeP91/3bljI4O4C4pxF6ZGz1ptxN72faPTErATQLrE08hCIMigFdzSMSXp\nYqGkL5HsW0UhAAAgAElEQVSJYITINvnuAhbIZX7BbD7XlBfhLrj+Ky8/ta75yKRNcg0nhgTsNDIw\nNk3AGitK9xY2QH2F+R76R6++LyGy0ajn6tBWRUl0u2YlW5HbRYm1k1jv8NQqZ4tYkICdRiJniG+q\nTP1JKasJ3XSYPQdyhy6y18ikGbDtNhulRblJrk30Qtdwr7SwEyKqMWyllB34MvBBoAj4JfAxrfXQ\nMue/D/gzYBtmbuJ/Br6yaA9esUahGeI2G9RVpP94UaiFDdA94GVLTfrfhAixHqNWwC4vzsVhT5/9\n7TdVFnKuc5y+EXOmuD2N6p6Oom1hfwFzA4APAIeBBuDhpU5USt0DfAf4B2AvZuD+U+CzG61strsy\naAbs6jI3rhzHKmenvvrKqzcdVwbjv3+uEKkoaBiMecw9r9OlOzwkspdsaEJWe8TbqgHb2nLvE8Bn\ntdZPaa1PAPcBtyulDi3xlI8CP9Jaf0Nr3aG1/nfgfwO/H8uKZ6Mr1jhROqzRjIY7L4fSQnMMrHtA\nArbITp7phfAcjori9AzYIOPYiRBNC/sAUAgcDR3QWncBnZit7cW+BHxx0TEDKFtfFQWYKTxDd+GZ\nErDh6kzTbmlhiyw17vWHv69MsxZ25LBW5BwbER/RjGE3WP/2LjreBzQuPllr/Vrk/5VSxcB/AR5b\nTwWFqWfo6t1rpgXsc53j9Ax6CQSDOOwyD1Jkl3GvmT/c6bBTXJhe2+Xm5zqpKM5j1DNLj0w8i7to\nPh3dQNDaRzfSHLDi7aBSKh9zL908ZAx7Q65EBOymDArYjVXme/EvBBmUjGciC41PmQG7qiw/vANW\nOgnPFJcu8biLJmDPAHZrpnikXGDZWyqlVAXwJGaX+tu01lfWXUsRDtgFeU7K0mjZx2oi86F3D0m3\nuMguC4EgEz4zYFdHpOtNJ6GAPTg2w/yCLASKp2i6xEOBto5ru8Xrub6bHAClVAvwa6AAOKy1Phtt\nhaqq4p92LxFlxLqcfmuDjNZNpVRXX93JJx3fS6SSUjcOu41A0GDU64/7+0n3n5fILH0jMxhWzqB0\nTe3ZYOWECBoGA2PT1NeVJLlGmSuagH0SmALuAL4H4YDcAjy7+GSlVBXwNOAHbtVad6+lQsPD8W1l\nVVUVxb2MWJcTCAbp6jdfq6YsL/y66fhellJX4aZn2MeFzrG4lpMpP69QGSL9dUdM1DIDdvpl/Fs8\nU/xgEuuS6VYN2Fprv1LqQeABpdQoMAx8HXhaa/2yteyrHBjTWs8DD1r/vwuYU0rVWC9lLJdoRaxs\nYHSahYDZ1ZRJE85CGquL6Bn2yVpskXW6h8yeM5fTTkmhiynfXJJrtHZ1FW5sNjAMyXgWb9FOyf0c\n8F3gIcxx6Q7gvdZjt2HOGL9VKZUHvBtzGdjL1vE+oB/oiV21s8u1E84yr2XVZGU480zPMzmVfh9Y\nQqxX95C1XW5JHrY0nHAGkON0hPe3l6Vd8RVValJrhvhnrK/Fjx0FItNuyZadMRYK2Hab7ZrsYJki\nctZ71+AU+wozZ1KdEMuZmVtgcMxMSZpu668X21RVwMDYdDh9sogPWfSaBkIBu67CTY4z/VOSLtYY\nMVO8c8CTxJoIkTjdg97wiHW6pSRdLLTd7/DELDNzC0muTeaSgJ0GQgG7MUM3xyjMz6HOuuAv90nA\nFtnhcv/Vv/XKkvRc0hXSGDFUd7l3Mok1yWwSsFOcx+dn0memLszECWchqsnMXHu5z4NhpN9MWSHW\nqsO6Oc132XHnpfdIYkvt1YDd3jORxJpktvT+K8kCVzI0Jeli25vKeOZ4D1Mz8wxPzlJdmt4tjlQl\nW+Wmjg5rqWZZUXqlI11KeXEuhfk5TM3M09Yzwa07q5NdpYwkLewUFzmmm4kzxENU89W9YS73SZda\nHMlWuSlg0udn1GPtgV2Uk+TabJzNZgu3stt65PqNFwnYKa7TuguvKM6luCD978SXs7m+GKfDXNYi\n49jxIVvlpo6OiPHr8gxoYQM0WwG7d8jLnH/x1hMiFiRgp7jQxJSWuuJVzkxvOU5HOK94e68E7DiR\nrXJTRGj82gaUFaZ/Cxug2bp+g4bsCxAvErBT2MTUHONeM5FIa4YHbICtm8wcxF0DXlkaEh9r3ipX\na30h9H/ZKjd2OqyhruqyPHKcmfExHDnxrHNAAnY8ZMZfSoaK7DbL9BY2wA5rpnjQMGiXpSHxIFvl\npgDDMMIt7KbqglXOTh8VJXkUu83eAhnWig+ZJZ7CQrNIbVx795qptjeWYMPsc9VXJtjTWpHsKmWa\n8Fa5i2Z5R7NV7s+AHcCb17JVbqbsvhfTnfdGfPhmzR6kXa3l2IwFCgrN+6WiwuXvm2Z8Luz2nBXP\niebcxcfW8roAdvxUVhZRUnL9z2Tn5gqOnR2go9+Tdr+XZJYRLQnYKazTamHXVrjJz838X5U7L4fG\n6kK6h6bQ3bKWMw4SulUuZMbue7Eu47Vzg+HvK9wOuod8BJmlqDAP79Tsss/z+fzY7QFy85c/Z7Vz\nlypjLa8LMO2bY2TEi99/fQdtY1UBx4Ch8RkuXh6hrCh+aYbT8Xe/XBnRki7xFGUYRrhLfHMWdIeH\nbG8qBczhgLl5mWkaY5Fb5QJRb5VrYG6Vu6ZgLZbWZg33OB026iszK99AaB4KIMNacSABO0UNT8yE\nu82yKWCHxrEDQYNLV6SVHUtaaz/m9rcPKKXeppQ6CHyfiK1ylVI11vIvuLpV7vuxtsq1viQrxgaE\n1ilvrivG6cisj+CW2iIcdnN5ZrvkU4i5zPprySCReYazLWCHLvhTl0eTXJuMJFvlJtHM3EJ4ydO2\nhtIk1yb2XDkOWq1WtiRQib3MHxhNU6GEKQ67LaNTki7mznOyZVMJF69McObyWLKrk3Fkq9zkMnPl\nm99vbShZ+eQ0tXNzOZeuTNA5YCZQyXVl3g6DySIt7BQVGr9urC7MmHWa0drbWg7AwNg0wxMzSa6N\nELFzKWJjjMjx3kyyf2sVYA1ryUYgMZVdkSBNBIJBuqzEA9nUHR6yZ/PV5VxnpFtcZJBLVjfxpsoC\nCvMzI8PZYrtbK7CZo1qc7xpPbmUyjATsFNQz5MO/YC6TbalLnTWAidJYU0iJlTf9RJsEbJEZFgLB\n8ESsbRnaHQ5QkJ8TzhshATu2JGCnoIsR3UjbM3BiymrsNhsHtlUCcL5rjOlZSVMq0t+VoSn88+aN\neCZOOIu0w9p9r2vQi292Psm1yRwSsFPQRWs5U0mBi+qyzFqnGa0bt5vjYAsBg1OXR5JcGyE2LnKZ\nYqZOOAvZaQVsw4DzndLKjhUJ2CnGMIxwwN7eWIotNBiUZXY0l4Wzux2/KAFbpL/Q+HVpoYvKkujS\ngKYr1ViKK8cML6faZVgrViRgp5iBsWm802YX0vbGzO42W4nTYWf/FnPy2en2UdlfV6Q1wzC41Bsa\nv878G/Ecp4NdzeZqj1PtIwRDa9nEhkjATjE6ottMZXHABrh5p5lQa24+wPFLw0mujRDrNzQxg8fn\nBzJ7wlmkfVvNG27P9Hw4r4TYGAnYKSbUHV6Q56S+KnO23luPva0V4aUvL54ZSHJthFi/yNnSmT7h\nLGT/lsrw9yfbZFgrFiRgpxDDMMK7VG1rKMWe4d1mq3E67OFW9tnOMSan5pJcIyHW51yHmbWvMD+H\nxprsyFxYVpRLk/Vej1+UHrJYkICdQkYnZxn3mkFJNWXHXfhqbttdC5izTY9FbEsoRLoIBo1wC3tX\nS1lW3YjfvMO84e4d8dE7PJXk2qQ/CdgpJHL8OpsnnEVqrS8OL2174ax0i4v0Y65FNnMJ7GopT3Jt\nEisUsAFeuTCUxJpkBgnYKSQ0fp3rcoS7krKdzWbjVquV3T04JXfpIu2c7bi6ic3uLAvY1WVumq2s\nZy+fH8KQ2eIbIgE7hYRa2Ns2leCwy68m5NbdNeHvXzwr3eIivZzrNAN2Tbmbigxff72UN1jzUAbG\npukckNniGyFRIUUMT8wwNG7uTCXj19eqLnOzZZO5CcoLZ/oJBINJrpEQ0ZnzB8IJU3a3lCW5Nslx\naFdteDOQ5071J7cyaU4Cdoo4E9FtFrlblTAd3lcPwMSUn9OyT7ZIE/rKBIGg2Q2cbd3hIWVFuext\nNT/Tjp0bxD8vSZDWSwJ2ightI1lc4MqaZR9r8Yad1eS6HAA8d7IvybURIjqh7nC7zYZqys4WNsDt\ne+sAmJlb4FUtk8/WSwJ2ClgIBDlnLfvYs7k8q5Z9RCvP5eQWayzsZNsoE7ImW6SBs1bAbq0vxp3n\nTHJtkufAtkqK3GYSpCdf65HJZ+sU1V+QUsoOfBn4IFAE/BL4mNYr3yoppbYAJwCltZZm0TLaeibD\nubL3tGZnt1k0Du+v59mT/QQNg9+c7ucdt7Yku0pCLGvMM0vvsA8w119nCsMw8Ho9yz7ucgXxeLzh\nc8Fa7bGrkl+/2k9Hv5dTl/rYXHt9T2JRUXHG51nfiGhv+b4A3A98ABgDvgE8DBxZ7glKqe3AY4B7\ng3XMeKc7zO5wG9k7zhWN1rpiNlUV0Dvs47mT/dxzqFl6I0TKev3S1XScof3dM8HMtI+jx8coLV96\nrk1hwRhTPrMHbGxkELvdSWl5BTmOIDabmQTpx892cWjntZ91M9M+3nLLVoqLsyPX+nqs2iWulMoB\nPgF8Vmv9lNb6BHAfcLtS6tAyz/kk8ApmcBerOGNNomqpK6bI7UpybVKXzWbjiDX5bGhiJpzGVYhU\nFErHWVaUS3NNUZJrE1t5+W7cBUVLfhUUFoe/z8svCJ9bUVZKi7Umu3d0FsORd83z8t3ZvXdCNKIZ\nwz4AFAJHQwe01l1AJ3B4mef8NvAR4I83WL+MNzE1x5UhMxnIXukOX9Wte2pxOsw/W5l8JlKVb3Y+\nfEN5cFuVdPNadlo9iIaB3HCvQzQBu8H6t3fR8T6gcaknaK3frLX+0UYqli0isyDtaZXlXKspzM/h\nRlUFwKt6mKmZ+STXSIjrnWobDe8BfcP2zOkO36jKkjyqSs3kMRevTLAQkJwKaxFNwHYDQa314sVz\nc0D2pe2JsdPWcq6CPCeb6zKr2yxejuwzl4gsBIK8JPnFRQoK7d9ekOeUfQEW2dlsTsDzzwdp651M\ncm3SSzSTzmYAu1LKrrWOvB3KBXyxrlBVVfyDViLKiKYc/3wgHLBv3FFDbc3aJ1ukyntJZBkVFYU8\n9PhFBkaneeHsIPe9fWfUXY6Z9PMSqck/HwjPS9m3pTI8hCNMTTVFFOaPMDUzz7mOcbY3lGK3y5BB\nNKIJ2Fesf+u4tlu8nuu7yTdseDi+uWarqoriXka05bx+aZiZOWs5V0vZmuuVSu8l0WXctruWf3/2\nMp39Hl4+1UdrfXHMy1ivRP281kOWaMbfua5x5qxsXgelO/w6druN3ZvLOHZuiKmZeToHvFFdvyK6\nLvGTwBRwR+iAUqoFaAGejUutssRr2uw2cznt4dR9Ijpv3FsXzk/8rEw+W4vIJZqHMeeoPLzSE6wl\nmr9GlmiuyjAMXj5rtmNyHDaaKp14PJPLfnm9HsjCHCJbNpWQZ2UuPHN5VBKpRGnVFrbW2q+UehB4\nQCk1CgwDXwee1lq/bC37KgfGtNZLzQCSvo4lLASCnLDWae5trQin3RTRKSvKZf+WSk60jXDs/CD3\n3b2VPFf2ZpKKRsQSzY9rrZ+yjt0HdCilDmmtX1riOZ8EvghcxLxJFysYn5jgtYtmd3hliWvVPaDH\nRgZxFxTjLsyuIRSnw87O5jJevzTCxJSf3mEf5bKqa1XRDq58Dvgu8BDwJNABvNd67DbMGeO3LvNc\nuXVawvmucabnzE3tQ7Oexdoc2W+uyZ7zB3jlvOQnjoIs0Yyzc10e5gPmR96WhvJl1ypHrlPOVqqp\nlBynGYIiNz8Sy4uqSWLNEP+M9bX4saPAks3DlR7Ldq9ZQ4ZOh439W2Wcaz32bimnpNDF5JSfZ0/1\ncdgK4GJZ61qiCaCUumOpx8W1Xr1oTiJ1Omw0ySY+K3LlONjeWMrZjjGGxmcYmZQRl9XI9MUkCASD\nHL9odofvbiknP1e6ctfDYbeHdwFq7/XQOzyV5BqlPFmiGUe+2XnOdprLlJprimR2eBR2NpeFZ4jr\nHrl+VyN/UUlwsXsinPDjph3VSa5NejtsrckGeO5UfxJrkhbCSzQXHY/LEs1s88r5ofDe162bZNZz\nNNx5TrZaP6v+sTn6RmeSXKPUJk27JDhmjbc67LaM2hQgGarL3OxsLuN81zgvnBngd+/YEh4XE9dJ\n6BJNSK31+/Eu4xVr1Yc718HWpui2yZ3xubDbcygqNDs4Qv9Gc+5aXjfS4mNred1ozw89Fs25N++u\n49KVSQzg+XMjHH7DtqjqAanzu08UCdgJ5p8PhGeO7m2toCAvJ8k1Sn+H99dxvmucqZl5Xr80zBt2\n1iS7Sqkqconm9yD+SzRTbf1+vMoYmpjhvLX3dUNVPj5fdPu1+3x+7PYAufmzFBXm4Z2ajerctbxu\npKXKWMvrRnN+ZBnRvLYDaK4tonPAy0tnhjh3aYiq0vxV65Eqv/tYlBEtaYok2Im2EWas2eG37alN\ncm0yw43bqyjIM+89ZU328rTWfiC0RPNtSqmDwPeJWKKplKqxln8tRZZoLuPFM1dT5DZXrx5sxLX2\nWBsfBQ341cvdSa5N6pKAnWAvWBe2O9fJ/q2SLCUWcpwObrVufs51jjM8IeNgK5AlmjEWCAbDN4oN\nlfmUFEiv2VqVF+dRU5YLmHNRPD5/kmuUmqRLPIHGPLPh3OE376wmxykr3mLlyL56nni1BzAv+HuP\ntCa5RqlJlmjG3usXRxj3ml3gb9xTTSAgO8itx46GQgbH55hfCPLEa1e498iWZFcp5UgLO4GePdlH\nKAPfEVkzHFMN1YXhfMS/Od1PICjb9onEePI180axIM/JjdtkT/v1qixx0VxjJpJ56rXe8NChuEoC\ndoIEgsHwsqPm2iI218myj1gL3QSNe+fCuyUJEU89Q1PoKxMAHN5XjytHPlLXy2az8eaD5tDW9NwC\nz5yIy8KFtCZ/XQly4tJouNvszgPSuo6Hm3dUk5tj9trK5DORCE8dN1vXNuDOg5uSW5kMsLulhPpK\ns5X965evML+wOMdPdpOAnSC/fsWc+ejOdXLLLll2FA/5uU7esNNMRHOybZSJqeiW1gixHr7ZeV44\na04i3b+1kuooliKJldltNu65pQmASZ8/PElXmCRgJ8DlPg+XesyUhXfcUC+7SsXREav3ImgY/Oa0\nZD4T8fPsiT788+ZcibtulNZ1rNyyq4byYnPG+GPHugkGZXFCiATsBHjsWBdgZjZ7841L7rEgYqS1\nrphNVWaX2rMn++RiF3Hhnw+E1wvXVxawq0Umm8WK02HnbW8wW9lD4zO8dnE4yTVKHRKw46x70Mtr\nVsrCQ7tqKCvKTXKNMpvNZuPOA2ZrZ3hiltetPceFWC/DMPB4Jq/5+vWxy3imzeVbdx+oZsrrweOZ\nxOv1yGr1GDiyr57CfHM9+3+82IlhyA8VJGDH3aPPdwDm2Mw739iS3MpkiTfurcVt7YAmWZPERnk8\nHh4/1sbzp/t5/nQ/z5zo5RcvmzOYC/Mc+GZnw489/eplZmclcc9G5bocvPlGczfY7sEpznbKqg+Q\ngB1XF69MhFt4t+2tpaZM9ntNhDyXkzdZM3bbeidp651Mco1Eust3F+AuKMJdUETX8AKzfnPsev+2\nKgoLi8OP5eUXJLmmmeOuGxvCqz5+8WJXkmuTGiRgx0kgaPDdxy8CkOO08y5pXSfUXQcbcFj77Eor\nW8TKrH+BMx1ma6+00MXmesmnEC+F+TncYU0ivdA9QbvceEvAjpefPXeZK0PmhuzvONRMZYks+Uik\nsqJcDu02l88d18MMjU8nuUYiE7ymh5lfMFvXB7dXRbWFpli/t97ciNNh/ox/fLQ968eyJWDHQc/Q\nFN/+xTkAqkrzeLu1rlAk1ttuNn/uBvCrl6+sfLIQqxgcm6a91wPApqqC8GoEET/lxXm86QZzLPtC\n9wSnszyDoQTsGJuenecbj55hfiGIzQYfeecuXDmyZ0IyNFQXhrfte/ZkH4Nj0soW6zO/EOQ3p80k\nHg67jTfsrMYmreuEeOdtzeS5zM/Qh59py+qlmhKwY2h+IciDj5yhf9QMDO+8tYVtDaVJrlV2e/dh\nc9euQNDge7+6kOTaiHRkGAYn2ieZmjGXcR3YVkmR25XkWmWPIreLew41A9Az7OPFs9mb/UwCdozM\n+QP8/Y9Pca5zHIBDe2r5nds3J7lWYnNdMQe3VwHw9GtX6BrwJrlGIhUEg0ECgUBUX7986QpdQ+ZS\nrdpyN7taypJc+8xkGAZeaz374q9Dqphit7ku+9+PtjMyNs7k5GTWjWlLjswY6Bvx8Y1Hz9A77ANg\na0MJn37/jXg9sh4zFfzuHa2cbBshEDT4zq81n73/RpkslOWOHT/D6NTqW7D2jMzxctsUYCM/18nt\n++qkKzxOZqZ9HD0+Rml5xZKPb613c7xtkvEpP//y2CX2bXZz255GiotLElzT5JGAvQFjnll+/kIn\nz53qJ2CNq+zZXM7H3r2XvFwn0pZLDXUVBbz15kYeO9ZNe5+Ho6/38qaDDcmulkgih9NFYWnRiudc\nujLBK21jgA2H3cZdBzfhzpOPzHjKy3fjLlj697KrtZCuoVlGPXPonilUU/YE6hDpEl8Hj8/PD568\nxJ/9fy/xzIk+AkEDG+bkiE++dx+5Lplklmp++40tVFq7Kf3wqTb6RnxJrpFIVf6FAC+cGeDFs4MY\ngMMOt+0so6IkL9lVy2p2u41De2qx2cAw4NlTV5fYZQsJ2Gvgm53nx0fb+dNvvsivX7nCQsD8Y9m3\npYLPf+hm7j2yBYddfqSpKM/l5FP/+QZsgH8hyDcePcPM3EKyqyVSiH8+wPnOcR59rpM2a3e9PJeD\nwzvdVJfKHgCpoKI4jz2bzZUf414/P32xJ8k1Sizp34nC/EKQX7/SzS9e6r7mQ35HUyn3HtnC1obs\n65pJR/u2VnHPoWZ+8VIXvcM+HnzkDJ/43X3kOOUmK5t5fH7Od43T3jvJQuDqJKaasnxu31+HbW5E\n9vNIIfu3VtI/Os3I5CzPnR6mdVMvdxzIju1NJWCv4vTlUb73+EUGx69OIGutL+beI62ypV4auvdI\nK30jPk60jXC2Y4y///EpPv7uvTKMkWUMw6B3xMeFrnF6Fw2PFLlz2Lelgtb6Ymw2G9NzSaqkWJLd\nbuPI/np+8VIns/4gD/3qIoX5Lm5UVcmuWtxJwF6Gb3aeh36lefn8UPiY02Hjj969l/1bKvj8P7/M\nlz5yy7pe+y/+6dg1z/3DrzxNTZl7ydf7i386BsCXPnLLNd//4Veepr6qkP/5oZvDxyPPGxyfpqbM\nHf4wCqX3+4fPvOm61+wd8bGpsiB8DODDf/0UmyoLGByf5id/+65wHQcjUnwuBIzw64ZaJv/yZ3dd\n89zFG55EvsfIejucdgILweseD/1/8XsPvY+Vzl/q52m32/jou3bzv354grbeSc52jPGlb7/Kf3nX\nbhqqC5f8+a/39yxSTyAY5KWzg/z4+WEmfNcOidRVuNnZUsamygKZCZ7iCt053HVDDb9+dYCFgME3\nHjnDh+7Zwe376pJdtbiSgL2E813j/NPPzzHuNW+t83Md/KfbW/n+k5c4sLUS4Lq78rVY/NyFgLHs\n60Uej/x+IWDQba0pXvzc0P8Xn7/Say5V/uLnL3VO5OuuVoeVXn+1x5d6L8u979VeO9fl4NPvO8DX\nHznNmctj9I34+MK3XuFNBzfx9jc0UV6cF9XriPQRDBq8eHaAn/2mk6GJq71lToeN1voSdjSXUloo\n49TppKo0l/ffWcf3n+lnPmDwL784z/nOYd51awP5udf3mBUVFaf9jZgE7AgLgSA/efYyvzzWHR6z\nOrC1kg++XVFSmMv3n7yU1PqJ2Ml1Ofhv79nPz17o5Ke/6SAQNHji1R6eeq2Xg9sredMNm1DNkiAj\nE7T3TvKdxy9ekzTHnWtnZ0sF2xpKJHVwmpqenmJ8zMttu8t58dw4/oUgL54b4fVLY+xoKqKlJh+n\nw5yfMjPt4y23bE37NdsSsC39oz7+4afn6Bo0L2qX0859d2/jjgP1aX9XJpZmt9v4nds3c8O2Sn7w\n5CUudE8QNAxe1cO8qocpKzJbXF0DXppqCuXvIM1M+vw8/ExbOAc4mFtivuPWFvLx4nfI1pjpLi/f\nTX1lJZVlJTx/qp/B8Rlm54OcaJ/kbKd53W6uL6Y4z736i6WBqAK2UsoOfBn4IFAE/BL4mNZ6aJnz\nbwK+BtwA9AB/qbV+KCY1jrFg0OCJ13r496Pt+K01fU01hXz0Xbupq5DdeLJBU00Rf/L+g3T0e3jq\neA/Hzg2xEAiGh0S+8K1XqKtwc8uuGm7ZVXPduHw6yeRrOWQhEOSp13p49DcdzMwFAHA67Lz9libe\ncWszuTkOXj5xAX+S6ylipyA/h7e+oZGOfg8nLo0yNTPPfCBIe5+H9j4POQ4blwdmuXFHLXtbKygu\nSM9c8NG2sL8A3A98ABgDvgE8DBxZfKJSqhLzQ+A7wIeBtwL/rJTq11o/EYtKx0r/qI9/+cX58JZ5\nNuDttzTx7iOt4a4UkT021xXzf79jF++7axuv6iFeOjvIxSsTAPSPTvPIcx088lwHm+uKOWQF7zS8\n8DPyWgZrk45LIzx8tD28AQ+Yw1r33b2V6jS+0RKrs9nM+QgttcVcGZqio99Dz7CPYNBgPmBwon2c\nE+3j2ICWumL2b6lg39YKmmqK0iZV8aoBWymVA3wC+LjW+inr2H1Ah1LqkNb6pUVP+QNgQmv936z/\nX1RKHQT+GEiJi3zcO8fPXujkuZN94ZSiVaV5fPi3dqKaZNwy2xXm53DngU3ceWATH/7rp3jvm7Zw\n7Owg3UNTAHT0e+jo9/DDp9rYt6WCN+6tZd+WypRfz52J1zKYgfpc5zg//U0Hl6yEJwDVZfm8/83b\n2MWg/2oAAAsmSURBVLelMom1E4lmt9tori2iubYI/3yAnmEfXf0TjHj8zMwFMLh6DT/yfAclhS72\ntVZwYGslu1rKU3qJZzQt7ANAIXA0dEBr3aWU6gQOA4sv8tuBZxcdewb4+norGQuGYXC5z8OPnr3M\nEy93h1Pa2YC33NzIuw+3pvQvSiTPPbc0c88tzfSO+Dh2bpBj5wYYnpglaBicaBvhRNsIBXlODm6v\n4oZtVRwpTdmWXEZcyyHeaT+vvtjJo8+0XTOb353r5J23tXD3jQ0pfxMl4suV46C1vpjaEhu37q5l\n2Asn20c41T4a3qxpcsrPc6f6ee5UPzlOOzubyziwtZL9Wyupqlo533yiRROwQ7sk9C463gc0LnP+\n8SXOdSulyrXWY2ur4voEDYNxzxztfZO09UxyumOMwbHpa87Z21rBvUdaaa5NrV+KSE2bKgu490gr\n7z68mfZeD8+f7ueVC4PMzAXwzS6EL/pv/vQsrXVFbG0oYXNdMXUVBVSW5KXCMEtaXsshk1NzdA9N\n0TXg5czlUS71ThK5u6LLaedNBzfxjltbKMzPSWTVRBpw2G1sbyxhe2Mp771zKyOTM5xuH+Vk+yjn\nu8aZXwgyvxDkVPsop9pH4Vea+soCWmqLaK0vZlNlAbUVBRS7c5I2ATWagO0GglrrwKLjc8BS2fDd\nwOwS57LM+es2PTvPE6/1MDo5y9x8gFm/+TUxNceYZ3bJNcJ2G+zeXME7bm1me2NpLKsjsoTNZmNr\nQwlbG0p4/5u3cfzSMC+dHeRc5zgLgSD++QAXuie40D0Rfo7dZqO0yEVBXg6F+TkU5DnJz3XicNhx\n2G3sai7jhu1xz9SUstcywIWucY5fGsY/H8S/EMA/H2RmboGJqTnGvXPM+hdX21RenMvdBxs4vL9e\nArWIWmVJPm862MCbDjYw5w9wrmuMk20jnGgbxeMzpyT2jfjoG/HxwpmrKw1cTjtFbhdF7hyK3C4K\n8p04HXbzy26jqMDFHQfqKXbHfn5LNAF7BrArpexa68itUXKBpbJKzFiPsehcljl/3Z5+vZdHnutY\n9TynwxzTuElV81uHtxCYm49lNUQWc+U4OLSrlkO7apn1L3C2Y4z2gSnOtA3TO+wLr+cPGgZjnjnG\nPEvnuXzqeA9f/X9uj8tFHiFlr+WFQJCvPXwS/3x0uy/VlOVzYFsld97URGVhzto33TEWmPYsOTH+\n+rrNevEDNvvqrarZGR92u5NpX3Sb60aeb8fPtG/5PKhree3lzl2qjI3UeSmRZcSizsuePz3N7Gwg\nqvNnplf+c811ObhhmzmkFTQMOvu9nO0YpXvYx4XOMXyzV7Pi+ReCjHpmGfUsvpe9amp6nv/85m1R\nvY+1sBnGymntlVI3Y45tNWmteyOOXwYe1Fo/sOj8/wD6tNZ/EHHs94D/o7VO71XrQqQxuZaFSG/R\n3JaeBKaAO0IHlFItQAvXT0gBeJ7rl4jcBfxmXTUUQsSKXMtCpLFVW9gASqm/wky08PvAMOYs0Wmt\n9d3WUpFyYExrPa+UqgYuAD8E/g54C/AV4G1a66NLFiCESAi5loVIX9EO/HwO+C7wEPAk0AG813rs\nNsyZo7cCWBmT3o6ZGek48EfA/XKBC5ES5FoWIk1F1cIWQgghRHIlfWGoEEIIIVYnAVsIIYRIAym9\nvaZS6jPA32itY35joZR6I/DXmONz45jjen+htY7ZIm0r7/LfADcB08AvgD/RWo/HqoyIsnKBY8Df\naq2/F4PXW9OuTjEo75uAXWv9hzF+3WrMiVJvAfIxf0af1lqfjXE5mzB3tboL80b4l8D/q7Xuj2U5\nEeUdAp4D7tZaLzXDO+XE63pOxLVslZOW13Oir2WrTLme11ZeVNdzyrawlVL7gC8CMR9kV0o1AY9h\nrkndi/mHfD/wVzEsow54HGgHDgHvAd6AOeM2ppRShcBPMN9LrETu6nQYM03lwzF8/TCl1BeBmF7Y\n1uvagEeArcBvY06mmgSeVErFepeX/wBKMJdMHQHqgJ/GuAwAlFJuzEljKXv9Lhav6zkR17JVTjpf\nzwm7lkGu57Vay/Wckhe8tbzk28ALcSqiBfix1vozWusOa+eiHwJ3x7CM92Fmivqv2vQi8DHgbqVU\nw8pPjZ5S6s3ACSBmeS0jdnX6rNb6Ka31CeA+4HbrTjBW5WxWSj0FfBToitXrRtgP3AL8vtb6Na31\nBcwPrkLgHbEqRClVA5wDPqK1PqO1Pg38b+CgUioeCUa+CnTH4XXjIs7Xcwvxv5YhTa/nRF3LVlly\nPa9P1NdzqnaJfxnoAb4P3BnrF7e6HMLdDlZX138C/i2GxTwKvKK1jmxRhL4vw3x/sfBO4FuYXXXL\n5zVcm7Xu6rRet2H+od5HHFoq1mu/U2t9MeJYKPdlzO7ItdaDwPtD/7c+wD8KvKy1nlz2ieuglPot\n4B7r63QsXzuO4nY9J+hahvS9nhN1LYNcz2u21us55QK2UuoIZrfWPuDNCShvHCgGXsf8YIkJrXUH\n5hrXSH+KuVPSmRiWE9qrGKVUrF52rbs6rYvW+ruY442xrHvk649hdpdG+iTmxhW/jnmBgFLqJ8Dv\nAGPAm2L82pXAP/H/t3f2IFJdYRh+BCFgE7AwaCA2whfTKBbGJhAtFMKSgI0kFooiyoKlptgljSgW\n2ghqkHXBFCqYQCCEFBFsxZ9KUD5Bm8UNCy6EBFwJEi3Ouex1/Zk7s+eenTPzPjAMe+dy3929573f\n+fnOfMEff3c4vS/I6ee2vAxF+zmLl0F+7uHaXfs5a8A2s7WERv+SUIq6znPgI0Lv8rC7z/R60zvp\nuPuKeN4ywkNkJXCGkETyRUqN2vknga+Abxb00pNpJKTbqk5FYGZfAyeA0+7uLcmME4LFOHDdzDYm\nTFT5EfjV3f+MSTFLSg4/5/ByNzq180vx80B6GYbTz7lH2E+AT9/x2f8Eo91292o6q9eio510AIhG\nuwtgZnuAm2a2xd2bTBM10ogZmmeBA8Ahd/+9wbW70miBbqs69T1mthe4AFx29+/b0qmyVc3sW2CK\n0Hs+udjrxva5kTBShd69kZIcfs7h5cY6Bfp54LwMw+vnrAHb3V8AD9/1efwj5sysqpe2HFhmZv8A\nB939SiKd9cDH7n69drhaP2jU0+mkEXU+AK4B24Hd7t7Vuk4TjZaYiu+reX0qbQ1vTq31PWY2BhwD\nztSnHBNefxWwtX5/3X3OzB7RsD01YA9herMaqVYG/8PMLrn7aCKdxuTwcw4vN9GJWiX6eaC8DMPt\n537LEl9H2MqwIb7GCNNHG0ibUj8CXDGzevHhz6PW/RQCcYruZ8K6x0i35l5iuq3q1LeY2VHCdqLx\nNswdWUtoT5tquh8CBqTaH7ob+Ix5b+yIx/cDPyTSSE0OP7fuZSjazwPjZZCf+yrpzN0f1382s5l4\nfGGyx2L5CTgCTJrZMeAT4Dxw1d0fJNIYJWw12A/ci1sFKmZjb7svcff/zOwccMrMZpmv6nTD3W8t\n7W/XnLj39zgwCVxccA/+dfdniaTuEB5+E2Z2EHhBmDabIbS1RbNw3czMqgziaXd/mkIjNZn8nMPL\nUKifB8XLID9D/42wsxDT9rcBq4BbwCXgF2BvQpnvCL38CUJG5jTwV3zfnFCnTsovpXhfVac2aKMK\nzS5CG9/H/D2oXsl653H9dCdh/+xvwA3CN259mfAh8jaGvnJPJi9D2X7O7WWQn3uh4/9M1bqEEEKI\nAhjKEbYQQghRGgrYQgghRAEoYAshhBAFoIAthBBCFIACthBCCFEACthCCCFEAShgCyGEEAWggC2E\nEEIUgAK2EEIIUQCvAFCwhOZbKF8xAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "xs = rng.normal(0,1,100)\n", "\n", "fig, axes = plt.subplots(1, 2, figsize=(8,4))\n", "sns.distplot(xs, hist=False, rug=True, ax=axes[0]);\n", "sns.distplot(xs, hist=True, ax=axes[1])\n", "pass" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Kernel density estimate" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "data": { "image/png": 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O7n6PoxFRkheROHfkpNMqrpqTFzeb0kzk/HF5Fd+J9+L7L0ZEprX+wWHqm7sBqCmL7656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\nWmvfHPOUTwFnrLV/5n590Bi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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sns.kdeplot(np.r_[rng.normal(0,1,50), rng.normal(4,0.8,100)])\n", "pass" ] }, { "cell_type": "code", "execution_count": 28, "metadata": { "collapsed": true }, "outputs": [], "source": [ "iris = sns.load_dataset('iris')" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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sepal_lengthsepal_widthpetal_lengthpetal_widthspecies
05.13.51.40.2setosa
14.93.01.40.2setosa
24.73.21.30.2setosa
34.63.11.50.2setosa
45.03.61.40.2setosa
\n", "
" ], "text/plain": [ " sepal_length sepal_width petal_length petal_width species\n", "0 5.1 3.5 1.4 0.2 setosa\n", "1 4.9 3.0 1.4 0.2 setosa\n", "2 4.7 3.2 1.3 0.2 setosa\n", "3 4.6 3.1 1.5 0.2 setosa\n", "4 5.0 3.6 1.4 0.2 setosa" ] }, "execution_count": 29, "metadata": {}, "output_type": "execute_result" } ], "source": [ "iris.head()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Joint distribution plot" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "data": { "image/png": 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TNO0eB8e+C4RomnZ6i7vHA3XANt+VUgjHfBk8/p7N3nQ+V0LIG3OB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\nxhgTOQsfY4wxkftfAsQIHvnT8fsAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sns.jointplot(x='petal_length', y='petal_width', data=iris, kind='kdeplot')\n", "pass" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Box and violin plots" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "data": { "image/png": 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5fgu4iNyWxrZSnfzg48AUYLeIwIGkf1hE/mCM+UxfKzY26gBRA5k4cQrhcG7G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\n4BgmTZqs18xVRmkBV6rIDKc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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(1, 2, figsize=(8,4))\n", "\n", "sns.boxplot(x='species', y='petal_length', data=iris, ax=axes[0])\n", "sns.violinplot(x='species', y='petal_length', data=iris, ax=axes[1])\n", "pass" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Composite plots" ] }, { "cell_type": "code", "execution_count": 32, "metadata": { "collapsed": true }, "outputs": [], "source": [ "url = 'https://raw.githubusercontent.com/mwaskom/seaborn-data/master/titanic.csv'\n", "titanic = pd.read_csv(url)" ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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survivedpclasssexagesibspparchfareembarkedclasswhoadult_maledeckembark_townalivealone
003male22107.2500SThirdmanTrueNaNSouthamptonnoFalse
111female381071.2833CFirstwomanFalseCCherbourgyesFalse
213female26007.9250SThirdwomanFalseNaNSouthamptonyesTrue
311female351053.1000SFirstwomanFalseCSouthamptonyesFalse
403male35008.0500SThirdmanTrueNaNSouthamptonnoTrue
\n", "
" ], "text/plain": [ " survived pclass sex age sibsp parch fare embarked class \\\n", "0 0 3 male 22 1 0 7.2500 S Third \n", "1 1 1 female 38 1 0 71.2833 C First \n", "2 1 3 female 26 0 0 7.9250 S Third \n", "3 1 1 female 35 1 0 53.1000 S First \n", "4 0 3 male 35 0 0 8.0500 S Third \n", "\n", " who adult_male deck embark_town alive alone \n", "0 man True NaN Southampton no False \n", "1 woman False C Cherbourg yes False \n", "2 woman False NaN Southampton yes True \n", "3 woman False C Southampton yes False \n", "4 man True NaN Southampton no True " ] }, "execution_count": 33, "metadata": {}, "output_type": "execute_result" } ], "source": [ "titanic.head()" ] }, { "cell_type": "code", "execution_count": 34, "metadata": { "collapsed": true }, "outputs": [], "source": [ "sns.set_context('notebook', font_scale=1.5)" ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [ { "data": { "image/png": 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SdLbvG+SHj+7Hzs7ltWFVI799yzoqo75NXYQP+PncyIeBdwBvB64HVgD3zrSj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\n5b5pbM6i7oR+GniVCoAHgfOasVtExEfUk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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sns.lmplot(x='fare', y='survived', col='alone', row='sex', data=titanic, logistic=True)\n", "pass" ] }, { "cell_type": "code", "execution_count": 36, "metadata": {}, "outputs": [ { "data": { "image/png": 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FS1yT3M7ryTvUUM3OcSuOj/vRv/krtlSeOlswegI4KU3TR4BXgdnAPsAfgC2B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j5RYaU4+JagrvqckkkcBQ8yrOJIICXXNIyL59SKcukBdmDrHbofTmQim47lrUU6Nh926ka3fI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\niRyoz2uWf5I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reFt9G6QsMkptAguVp0RZ5Hvt5iFjHODLqFaCgg/Vj+RRCWsWTaUwunSG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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "g = sns.PairGrid(titanic,\n", " y_vars=['fare', 'age'],\n", " x_vars=['sex', 'class', 'embark_town' ],\n", " aspect=1, size=5.5)\n", "g.map(sns.stripplot, jitter=True, palette=\"bright\")\n", "pass" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Using `ggplot` as an alternative to `seaborn`.\n", "----\n", "\n", "The `ggplot` module is a port of R's `ggplot2` - usage is very similar except for the following minor differences:\n", "\n", "- Pass in a `pandas` dataframe\n", "- aethetics comes before data in the argument list ot ggplot\n", "- Give column names and other arugments (e.g.. function to call) as strings\n", "- You need to use the line continuation character `\\` to extend over multiple lines\n", "\n", "Only the most elementary examples are shown below. The `ggplot` module is extremely rich and sophisticated with a steep learning curve if you're not already familiar with it from R. Please see [documentation](http://ggplot.yhathq.com/docs/index.html) for details. " ] }, { "cell_type": "code", "execution_count": 37, "metadata": {}, "outputs": [], "source": [ "from ggplot import *" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "#### Interacting with R" ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [], "source": [ "%load_ext rpy2.ipython" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Note that we are exporting the R `mtcars` dataframe to Python (converts to `pandas` DataFrame)" ] }, { "cell_type": "code", "execution_count": 39, "metadata": {}, "outputs": [], "source": [ "%R -o mtcars" ] }, { "cell_type": "code", "execution_count": 40, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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mpgcyldisphpdratwtqsecvsamgearcarb
Mazda RX421.061601103.902.62016.460144
Mazda RX4 Wag21.061601103.902.87517.020144
Datsun 71022.84108933.852.32018.611141
Hornet 4 Drive21.462581103.083.21519.441031
Hornet Sportabout18.783601753.153.44017.020032
\n", "
" ], "text/plain": [ " mpg cyl disp hp drat wt qsec vs am gear \\\n", "Mazda RX4 21.0 6 160 110 3.90 2.620 16.46 0 1 4 \n", "Mazda RX4 Wag 21.0 6 160 110 3.90 2.875 17.02 0 1 4 \n", "Datsun 710 22.8 4 108 93 3.85 2.320 18.61 1 1 4 \n", "Hornet 4 Drive 21.4 6 258 110 3.08 3.215 19.44 1 0 3 \n", "Hornet Sportabout 18.7 8 360 175 3.15 3.440 17.02 0 0 3 \n", "\n", " carb \n", "Mazda RX4 4 \n", "Mazda RX4 Wag 4 \n", "Datsun 710 1 \n", "Hornet 4 Drive 1 \n", "Hornet Sportabout 2 " ] }, "execution_count": 40, "metadata": {}, "output_type": "execute_result" } ], "source": [ "mtcars.head()" ] }, { "cell_type": "code", "execution_count": 41, "metadata": {}, "outputs": [ { "data": { "image/png": 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xLV68WKOjoyoqKkp6vbCwUCMjI5kcEwAAABlgzE1S73fs2DG9+OKLuuOOO1RW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\nrkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "" ] }, "execution_count": 41, "metadata": {}, "output_type": "execute_result" } ], "source": [ "ggplot(aes(x='wt', y='mpg'), data=mtcars,) + geom_point()" ] }, { "cell_type": "code", "execution_count": 42, "metadata": {}, "outputs": [ { "data": { "image/png": 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49tprcdNNN+H+++/nOllSpEgkArfbjZaWlvhxth6PB+FwWOrSiEhhGGCJzmDg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\n/ZpYTgAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "" ] }, "execution_count": 42, "metadata": {}, "output_type": "execute_result" } ], "source": [ "ggplot(aes(x='wt', y='mpg'), data=mtcars) + geom_point() + geom_smooth(method='loess')" ] }, { "cell_type": "code", "execution_count": 43, "metadata": {}, "outputs": [ { "data": { "image/png": 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FhaGoqAj19fXo378/kpOTkZeXhz179qCurg5jx44FAFRWVsJkMjmcR6PRQKEQ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\noEDbt2/n8j4Aj+JtdAEA4MkyMjK0f/9+/fnPf5bNZmsJqL169VLXrl1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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "" ] }, "execution_count": 43, "metadata": {}, "output_type": "execute_result" } ], "source": [ "ggplot(aes(x='wt', y='mpg'), data=mtcars) + geom_point() + geom_line()" ] }, { "cell_type": "code", "execution_count": 44, "metadata": {}, "outputs": [ { "data": { "image/png": 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qlSp1Sqqkp6cnBgcH45JLLol77rknPvCBDyT//jdTy/bt2+O5556L66+/Ptrb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\nIgAASUIRAICk/wenFGEvmebfRgAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "" ] }, "execution_count": 44, "metadata": {}, "output_type": "execute_result" } ], "source": [ "ggplot(aes(x='mpg'), data=mtcars) + geom_histogram(binwidth=2)" ] }, { "cell_type": "code", "execution_count": 45, "metadata": {}, "outputs": [ { "data": { "image/png": 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YMYwaNaqLk5n//ETj/IzD+RmH82us1fNlCoUCo0ePRkJCAn799VcUFRVh165d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\n3XffqaamRv3799eUKVPqTz2y/ppnb36sv5YrLS3V66+/rtjY2PpbELX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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "" ] }, "execution_count": 45, "metadata": {}, "output_type": "execute_result" } ], "source": [ "ggplot(aes(x='mpg'), mtcars) + \\\n", "geom_line(stat=\"density\") + \\\n", "xlim(2.97, 41.33) + \\\n", "labs(title=\"Density plot\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Use `ggplot` in R directly with %R magic" ] }, { "cell_type": "code", "execution_count": 46, "metadata": {}, "outputs": [], "source": [ "cars = mtcars" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Note that we pass in Python variables with the `-i` optin and using the %%R cell magic" ] }, { "cell_type": "code", "execution_count": 52, "metadata": {}, "outputs": [ { "data": { "image/png": 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GAm4nUKucjLDcyM/So7FRhk17SDlava8x1AwfJvNvuk7qhgz2MxZflJ0G2BfV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}, "metadata": {}, "output_type": "display_data" } ], "source": [ "%%R -i cars\n", "library('ggplot2')\n", "ggplot(cars, aes(x=mpg, y=am)) +\n", "geom_point(position=position_jitter(width=.3, height=.08), shape=21, alpha=0.6, size=3) +\n", "stat_smooth(method=glm, method.args=list(family=\"binomial\"), color=\"red\")" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.1" } }, "nbformat": 4, "nbformat_minor": 1 }