{ "metadata": { "name": "" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# A Gallery of Statistical Graphs in Matplotlib\n", "\n", "Companion notebook to [Lecture 3](https://drive.google.com/folderview?id=0BxYkKyLxfsNVd0xicUVDS1dIS0k&usp=sharing) of Harvard [CS109: Data Science](http://cs109.org). Prepared by [Chris Beaumont](http://github.com/ChrisBeaumont)\n", "\n", "Inspiration taken from http://nbviewer.ipython.org/5357268\n", "\n", "Also see these same examples with [Matplotlib defaults](http://nbviewer.ipython.org/urls/raw.github.com/cs109/content/master/lec_03_statistical_graphs_mpl_default.ipynb)" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#brewer2mpl makes it easier to use color tables from colorbrewer2.org in matplotlib\n", "!pip install brewer2mpl" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Requirement already satisfied (use --upgrade to upgrade): brewer2mpl in /Users/beaumont/anaconda/lib/python2.7/site-packages\r\n", "Cleaning up...\r\n" ] } ], "prompt_number": 78 }, { "cell_type": "code", "collapsed": false, "input": [ "%matplotlib inline\n", "from urllib import urlopen\n", "\n", "import brewer2mpl\n", "import pandas as pd\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import pandas as pd" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 79 }, { "cell_type": "code", "collapsed": false, "input": [ "# Set up some better defaults for matplotlib\n", "from matplotlib import rcParams\n", "\n", "#colorbrewer2 Dark2 qualitative color table\n", "dark2_colors = brewer2mpl.get_map('Dark2', 'Qualitative', 7).mpl_colors\n", "\n", "rcParams['figure.figsize'] = (10, 6)\n", "rcParams['figure.dpi'] = 150\n", "rcParams['axes.color_cycle'] = dark2_colors\n", "rcParams['lines.linewidth'] = 2\n", "rcParams['axes.facecolor'] = 'white'\n", "rcParams['font.size'] = 14\n", "rcParams['patch.edgecolor'] = 'white'\n", "rcParams['patch.facecolor'] = dark2_colors[0]\n", "rcParams['font.family'] = 'StixGeneral'\n", "\n", "\n", "def remove_border(axes=None, top=False, right=False, left=True, bottom=True):\n", " \"\"\"\n", " Minimize chartjunk by stripping out unnecesasry plot borders and axis ticks\n", " \n", " The top/right/left/bottom keywords toggle whether the corresponding plot border is drawn\n", " \"\"\"\n", " ax = axes or plt.gca()\n", " ax.spines['top'].set_visible(top)\n", " ax.spines['right'].set_visible(right)\n", " ax.spines['left'].set_visible(left)\n", " ax.spines['bottom'].set_visible(bottom)\n", " \n", " #turn off all ticks\n", " ax.yaxis.set_ticks_position('none')\n", " ax.xaxis.set_ticks_position('none')\n", " \n", " #now re-enable visibles\n", " if top:\n", " ax.xaxis.tick_top()\n", " if bottom:\n", " ax.xaxis.tick_bottom()\n", " if left:\n", " ax.yaxis.tick_left()\n", " if right:\n", " ax.yaxis.tick_right()" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 80 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Example Data" ] }, { "cell_type": "code", "collapsed": false, "input": [ "file = urlopen('https://raw.github.com/cpcloud/pydatasets/master/datasets/ggplot2/diamonds.csv')\n", "diamonds = pd.read_csv(file)\n", "\n", "file = urlopen('http://www.columbia.edu/~cjd11/charles_dimaggio/DIRE/resources/R/titanic.csv')\n", "titanic = pd.read_csv(file)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 81 }, { "cell_type": "code", "collapsed": false, "input": [ "change = [23.2, 22.7, 19.7, 13.9, 13.1, 12.8, 12.7,\n", " 12.6, 12.0, 11.5, 10.8, 10.4, 10.4, 9.8, 9.2,\n", " 9.2, 8.8, 7.7, 6.9, 6.9, 6.4, 5.6, 5.3, 5.3, 5.2, 4.9,\n", " 4.8, 4.6, 3.6, 3.1, 0.7, -.3, -.7, -1.2, -1.5, -1.7, \n", " -1.7, -1.8, -2, -2.3, -2.4, -3.6, -3.7,\n", " -4.9, -6.5, -6.6, -11.6, -14.8, -17.6, -23.1]\n", "city = ['Philadelphia', 'Tucson', 'Kansas City, MO',\n", " 'El Paso', 'Portland, Ore.', 'New York', 'Dallas',\n", " 'Columbus', 'Mesa', 'Austin', 'Atlanta', 'Fort Worth',\n", " 'Miami', 'Houston', 'Chicago', 'Oakland', 'Virginia Beach',\n", " 'Baltimore', 'Denver', 'Detroit', 'San Antonio', 'Phoenix',\n", " 'Oklahoma City', 'Indianapolis', 'Milwaukee', 'Sacramento',\n", " 'Washington, D.C.', 'Colorado Springs', 'Honolulu', 'Nashville',\n", " 'Jacksonville', 'Louisville', 'Seattle', \n", " 'Memphis', 'Fresno', 'Boston', 'Mineappolis',\n", " 'San Jose', 'Tulsa', 'Charlotte', 'San Diego', 'Los Angeles',\n", " 'Long Beach', 'Cleveland', 'San Francisco', 'Albuquerque',\n", " 'Arlington, TX', 'Omaha', 'Wichita', 'Las Vegas']\n", "\n", "grad = pd.DataFrame({'change' : change, 'city': city})" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 82 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Bar Chart" ] }, { "cell_type": "code", "collapsed": false, "input": [ "plt.figure(figsize=(3, 8))\n", "\n", "change = grad.change[grad.change > 0]\n", "city = grad.city[grad.change > 0]\n", "pos = np.arange(len(change))\n", "\n", "plt.title('1995-2005 Change in HS graduation rate')\n", "plt.barh(pos, change)\n", "\n", "#add the numbers to the side of each bar\n", "for p, c, ch in zip(pos, city, change):\n", " plt.annotate(str(ch), xy=(ch + 1, p + .5), va='center')\n", "\n", "#cutomize ticks\n", "ticks = plt.yticks(pos + .5, city)\n", "xt = plt.xticks()[0]\n", "plt.xticks(xt, [' '] * len(xt))\n", "\n", "#minimize chartjunk\n", "remove_border(left=False, bottom=False)\n", "plt.grid(axis = 'x', color ='white', linestyle='-')\n", "\n", "#set plot limits\n", "plt.ylim(pos.max(), pos.min() - 1)\n", "plt.xlim(0, 30)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 83, "text": [ "(0, 30)" ] }, { "metadata": {}, "output_type": "display_data", "png": 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ixQuhaZKSkpCamlrn/fMoKyuDtbU1zMzMICMj0+AZ3ZpfxokTJ2L16tXYtWsXdu7cCVNT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\n3l0EmwhlSqm+zO/QoQPW1tbUr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"text": [ "" ] } ], "prompt_number": 83 }, { "cell_type": "code", "collapsed": false, "input": [ "change = grad.change[grad.change < 0].values\n", "city = grad.city[grad.change < 0].values\n", "\n", "pos = np.arange(len(change))\n", "red = (0.78, 0.22, 0.18) # RGB triplet\n", "\n", "plt.figure(figsize=(3, 6), dpi=200)\n", "plt.barh(pos, change, color=red)\n", "plt.yticks(pos + .5, city)\n", "\n", "#add the numbers to the side of each bar\n", "for p, c, ch in zip(pos, city, change):\n", " plt.annotate(str(ch), xy=(ch - 1, p + .5), va='center', ha='right')\n", "\n", "#cutomize ticks\n", "plt.gca().yaxis.tick_right()\n", "ticks = plt.yticks(pos + .5, city)\n", "xt = plt.xticks()[0]\n", "plt.xticks(xt, [' '] * len(xt))\n", "\n", "#Remove chartjunk\n", "remove_border(left=False, bottom=False)\n", "plt.grid(axis = 'x', color ='white', linestyle='-')\n", "\n", "plt.ylim(pos.max() + 1, pos.min()- .5)\n", "plt.xlim(-30, 0)\n", "plt.title('1995-2005 Change in HS graduation rate')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 84, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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BcO3aNdRqNb17985WbG/q0aMH1tbW7Nq1i/v372e6jp+fH48fP87y86d79eoV9vb29O3b\nl1KlSmX7jt/rvzydOnViypQpeHh4sHjxYnr16qWcalaqVAm1Ws2KFSs0tj9y5Ai3b9/O1r7ymq6u\nLnPnzs3wC1S3bl0AypYtm+W2w4YNw9bWlpkzZ7J48WKmTJlC1apV37q/xYsXc+XKFeWP9+vHPL3H\nnH7an5n0Y//6dq/fHd++fTsbN25k3LhxGdZL3z6zn3N6u8bGxlSqVEm5wZAuODgYfX19atSo8dbP\n9z6yE+vrf6w+//xzDh48qHGam5yczKJFi3ItptyU7eSX3mXO6jGH2NhYBgwYwBdffMHSpUszXWfD\nhg2sXbuWw4cPK720f//9lx49eijXUZKTkxk/fjxeXl7vjGnZsmU8evSIoKAgvL298fb2ZsmSJWzY\nsAFIexvh8uXLyl+jZ8+esX//fuWH2bhxY5o1a8bq1auVNletWoW9vT1ly5b9oNi0tLTYs2cPZcqU\noX379ly6dElZJoRg9+7dzJw5E3NzcyDtMY7Xf7GTkpKAtOP88uVLYmJiuHbtGklJSWzevBm1Wk1w\ncDCRkZHKdcXXv5SJiYkaPyNPT0+CgoLo1KkTZcuWJSwsTLl7aWhoSP/+/Vm4cCFTpkzh/PnzLF26\nlL179yrJ5U1JSUlKjOnH5M0YEhIS3vo4THoPKj4+PsOy9N7o63eLk5KSsLe3V5ZB2vU8S0tLOnfu\nnOV+xo4di4GBAa1ataJs2bI8ePBA45pVampqhmuzwcHBvHz5kjt37vD06VNOnz7N8+fPiYyMpGbN\nmnz55ZcsWLCAK1euACg9zwsXLhAVFUWFChUA2LZtGzExMaxatYqEhAQeP36MEILg4GAg7RGwFy9e\ncPjwYQACAwOJjY2ldOnS/PvvvyQlJSmPgr35Hfn555/5448/uHDhApD2vdq6dStTpkxBV1dX2ebN\n78Xb/nimL3v95/a+sQ4ZMoT4+HjatWvHgQMHlEe+0s+GCpzs3BXZtWuXqF27tlCr1WLw4MHi0qVL\nyrKoqCixbt060bFjR7FixYoM26ampoozZ86IwYMHC2dnZ+XNj3ShoaHim2++EUWLFhXffvutmDBh\ngrh58+Y7Yzp06JDQ1tYWarVaqFQq5Z9arRanTp1S1jtz5ozo06ePmDdvnhgwYIDYu3evRjvPnz8X\njo6OYurUqcLV1VWMHj1aJCYm5ig2IdLu6rm5uYmqVauKatWqiXbt2olevXqJVatWKeusWrVKaGlp\niZo1a4orV66IO3fuiObNmwu1Wi1mzZolhEh7u6R48eKiTp064ty5c6J79+6ifPny4tixY2LOnDlC\npVKJTp06iQcPHoizZ88KU1NTYWRkJI4fPy6EEGLr1q3C0tJSmJmZCV1dXeUYbd26VQiRdoeuf//+\nokSJEqJs2bLihx9+EPHx8Zl+pjNnzojatWsLLS0tsWzZMhEVFSVGjRol1Gq1cHR0FMHBwWLv3r2i\nePHiolKlSuLq1asZ2jh//rzo1auXUKlUwtjYWCxZskQ53t7e3qJOnTpCrVaL6tWri23btgkhhLK+\nqamp6Natm2jdurXo1auX8PPze+vPYO7cucLKykqYmJgIHR0doVKphK6urjh79qw4e/asqFGjhtDS\n0hKenp7K9/LWrVuicuXKwsDAQPzwww/i9OnTwtDQUPTr108kJiaKJ0+eiK5duwoDAwNRq1YtsWrV\nKvHVV1+JpUuXKg+u//TTT8LAwEBUr15dnDhxQvTo0UOMHz9e3L17VwQHB4vatWsLPT09YWdnJ65f\nvy5MTExE27ZtxYsXL8SNGzeEqampqFOnjvjzzz/FgQMHhIWFhShZsqTGQ/1btmwRjRo1Eq6ursLF\nxUXjDZANGzYILS0t0aBBA/HXX3+JGzduiC+++ELo6Ogox/R1vr6+yvdu2rRpylsb7xurEGm5okqV\nKqJYsWKiQYMGufrmS27L9qMuWbl06ZLy6lpmgoKCxPnz55W3LqT8k5KSIgYPHizCw8M15t27d08M\nHTr0I0aW9+Li4oS9vb3G9y4pKUlcvXpVuLm5fcTIpIIix7f4GjRo8Nbl5ubmyimelL+2b99OeHi4\ncjEc0h7FqFy5svL4wn/VokWLKFWqlHIaCGk3q6pWrUrlypU/YmRSQVFgS1pJOZecnMypU6fYtWsX\nMTExvHz5ksuXLzNu3DjlbYb/quTkZHbu3MnJkyeJi4sjOjqa06dPM2PGDBwcHD52eFIBoBJCDl35\nXzZnzhxWrFhBcHAw5cqVo3fv3sqDsP9lSUlJTJgwga1btxIZGYmVlRW2traMHTs20wfYpcJHJj9J\nkgoledorSVKhJJOfJEmFkkx+kiQVSjL5SZJUKMnkJ0lSoSSTnyRJhZJMfpIkFUoy+UmSVCjJ5CdJ\nBURqNoc+kHKHfMNDkqRCSfb8JEnKFUFBQRpj7dy/f79Aj+srk58kvae9e/cyfvx45s2bx8iRIzUq\nW7/Oz8+PNm3aULp0ab7++ussx0N+m/3791O+fHn09fVZvXp1tkcFfBdvb29lZLcP9eWXX7Jjxw4A\ndu3ahbW1NWfOnAFg+fLlWFtbv3P87Y/qYxYTlKRPzbVr10SlSpVESkqKEEKIcePGicmTJ2e67sSJ\nE0VkZKRITEwUPXv2FP379/+gfdra2opvvvnmg2POjJ+fX4axkd/X+vXrlarPQgjRrFkzjTYrVKhQ\noCs5y56fJL0Hd3d3mjdvrozP2717d2U86te9fPmSMWPGYGRkhI6ODm3atFFGXntfWlpaH7xtViwt\nLRk4cGCO2hg4cKAyZglkPUZ2QSWTnyS9hwsXLmiMFPj5558TGRnJzZs3NdbT09PDyMgISBtg6ObN\nm8yYMSPX44mPj2fq1KmsWLGCQYMGMXnyZFJSUggICKBmzZpMnz4dgGPHjlGsWDFlcPqbN2/i5uam\njL62d+9ePD09mT9/vjLg0Jo1a1Cr1cyfPx+AJ0+eUKtWLXx9fYmLi2PTpk0ZhhXNSlJSEjNnzmTc\nuHE0aNAg29vlJZn8JOk9hISEYGBgoEwbGhoCWQ9Sf/78eZo1a8aOHTv4888/cz2eMWPGYGlpibOz\nM6tWreL48ePMnTuXChUq8OWXXyq9r3bt2mFqagpAREQEmzdvZv78+Urymz59Ora2tri6uio9wu++\n+44mTZoovdqyZcvSpUsXateuzfXr15k0aRJ//fVXtuJ0d3enZcuWzJs3T9lH+ih+H4tMfpL0HrS1\ntTUGBk8f8lFk8cRYkyZN2LlzJwMHDsTR0ZHo6OhciyU1NZV169ZpjKPj4ODAqlWrlJgyi8vY2JgO\nHTpozLO0tKR3794EBwfTv39/Zb6zszMbN24E0nqPHTt2VD5XVmNXZ2bt2rX4+Pgwd+5cbt68ScOG\nDbP8g5FfZPKTpLfw8PBAX18ffX19SpUqhZmZGS9evFCWp///2wbpKlu2LO7u7hgbG/PgwYNciy0i\nIoJXr15pjGdcoUIFZbzd9+Hl5UVsbCzW1tbs3LlTmd+rVy9CQ0O5fPkyV65coVGjRh8Ua2BgIGPG\njMHNzY0ZM2bw+++/a1w++Bhk8pOkt/j++++JiYkhJiaG58+f06JFCx4+fKgsv3fvHgYGBtl6bMTY\n2JjPPvvsg+LI7OZBTEwMxYsX5/79+8q8hIQEKlWqlGkbWfVOIe2a3IULF5g4cSK2trbK83rFihWj\nb9++LF26VON0/32VLl2a06dPa8Ry69atD24vN8jkJ0nvwcnJiaNHjyqnu4cPH8bW1hYdHR2CgoIY\nMWIEAK9evcLb25uUlBQAHjx4gI2NDWZmZu+9z6SkJGV/6ZKTkxk/fjzOzs6sXr1amX/69GlGjhwJ\npCVbX19fAK5evUpUVJRynS29vfT4li5dilqtxtXVFWtra43epJOTE5s2baJnz54aMaSkpCjbp0+/\nnmBTU1OV6a5duzJixAguXbrEkydPGDduHKVLl37vY5GbcjxuryQVJl999RU//fQTY8aMoVy5ckRF\nReHu7g6k3fQ4evQoCQkJhIeH4+rqyqxZs7Czs0NPTw8vL6/33t+BAwfw8fHhxYsXODg4UKxYMeLi\n4jh//jzm5uZs3ryZcePGMXLkSD777DNMTEwYOnQoAMOGDaNz585UrlyZcePG0bx5c27fvo2NjQ27\nd+9GpVKxcuVKhg8fzvbt21GpVJibm9O9e3eNU9J69eoxevRoLC0tlXknT57kn3/+ISUlhQcPHuDn\n58ft27c5duwYrVq14uzZswQHB7N3715sbGyYPXs2oaGhtGvXjgoVKuDh4fHBveDcIt/tlaQCIjU5\nGbW27I/kF5n8JEkqlOQ1P0mSCiWZ/CRJKpRk8pOkj0gWMP145DU/SfrILjWspfz/1xdvfMRIChfZ\n85MkSREREaHx0PR/mUx+kpRN2SliGhcXh4GBAWq1WuPfsWPHPni/d+/epXXr1vTv35+aNWuiVqvZ\nvXt3Tj5Kpk6fPk3t2rXZunVrrrddEMnkJ0nZ8OeffzJ27Fhmz57NuHHjKF68eKYlqg4ePMjq1avx\n9/fH398fPz8/qlatSosWLT5434MGDaJv375s2bKFGzdu4OTkRGho6Ae19eTJEw4ePKhM+/r6cvny\nZQBatGhB69atC3wdvtwik58kZUN2i5g2bdqU3r17Y2FhgYWFBS9fvqRatWoUKVLkg/ft6+ur9DJV\nKhULFy4kJibmvdtJTEzEzs6OyMhIIK0og62tLa9evVLWUalUb30H+L9EPk4uSdlw4cIF5b1d0Cxi\nWq9ePWV+es28dHv37qVbt2452nfdunUZP3485ubmdO3alRIlSuDg4ADAwoULCQ8Px8fHB1tbW4YN\nGwbAtGnTMDExITAwECMjI9zc3Lh58yb+/v4cOHCA1NRULCwsCA4OZuPGjURGRmZ4dxfSCpr++++/\nXLhwgcaNG/Pzzz/n6LMUKPleOF+SPkFFixYVK1asUKaTkpKESqUSe/bseet2DRs2FOHh4W9d5+LX\nNZV/mXn06JH44osvhEqlEj179hShoaFCCCG2bdsmNm/eLIQQ4urVq0KtVotHjx6Je/fuieLFiwsh\nhIiPjxdaWloiKipKCCFE8+bNNcbZsLS01Bhnw8HBQUyfPl0IIcSlS5fErFmzhBBChIaGCrVaLU6d\nOvXWz/IpkT0/ScqG9y1iChAcHIyWlhbGxsY52reVlRV//fUX7u7uzJgxgzp16nD27FnWrl1LzZo1\nefz4MSkpKbRq1YrHjx/TtGlTLl68iBCCM2fOkJqaSlRUFCVLlnxnzK9bu3YtKSkpzJ07F4AOHToQ\nFhaWo89SkMjkJ0mZ8PDwYNKkSUBa4vuQIqb79u2jS5cuOYojNTUVtVpNkSJFGD9+PG3btqVVq1aM\nHTuWwMBAPDw8qFKlCgATJ05UtgsKCmL37t3KafDrCS+7NzQCAwMZNWoUbdu2BcDNzS1Hn6WgkTc8\nJCkTuVHEdN++fXTt2jVHcezfv58bN/7/g89169bF3t6ef//9N0OBUIAbN27w559/Mnr0aKZNm0bZ\nsmU/eN9Ztf9fIZOfJGVDdouYpouOjiYoKCjHpdorVqyIk5OTxmA//v7+tGvXjq5duzJlyhSOHTtG\naGgos2fPJjk5mTNnzpCUlERycjJXr14F4Pnz5yQnJ6Onp0dYWBjPnj3TmE4/nX29IGnXrl3x8PBg\n27ZthIWF4eXl9dHH3chVH/WKoyR9QjZs2CBGjRolfv31VzF06FARFxcnhBDi4sWLwsrKSrx69UpZ\nd9u2bWLMmDHZavdtNzyio6OFSqUS5ubmYvDgwcLW1lYMHz5cvHr1SiQkJAhnZ2dRqlQpUalSJbFj\nxw4hhBB37twRFhYWonr16mLDhg2iSZMmonXr1iImJkasX79elC1bVsyZM0cIIcTMmTOFhYWFWL16\ntbh8+bKwsrISLVu2FA8ePBBCCDFp0iRRpkwZYW5uLjw9PXN0/Aoa+W6vJH1EsoDpxyOTnyRJhZK8\n5idJUqEkk58kSYWSTH6S9BHIIqYfn7zmJ0kfyetFTNPJYqb5R/b8JCkbQkJCPnYIBUJERAT37t37\n2GHkCpn8JOktwsPDcXFxoXHjxm9d79atWzRq1Ah9fX0aNWrE7du3c2X/hw8fxsbGBrVazd27dzMs\nj4+Px8hV8LdhAAAgAElEQVTIiBIlSrBu3bpc2WdW7t69y9dff8327dszXe7u7p7jN1ryk0x+kvQW\n8fHxWFpaZqjb97qEhAR++eUXPD09OXz4MPHx8ZmWh/oQHTt2pHv37mhra+Pp6Zlh+fbt29HR0aFO\nnTpKmau8Ur16db755pss3w1u1aoVTk5OeRpDbpLJT5LewsLC4p1VWc6dO8fMmTOpW7cu33zzDQsX\nLuThw4e5VgFFR0eHHj16sHHjxgxFTA8fPky7du3QzscHpbO6TVCrVq0c1y7MTzL5SVIOtW7dmooV\nKyrTZcuWRU9PDyMjo1zbx/Dhw4mLi9M4tfX19aVGjRpoaWkp8548ecKECRNwcXGhYcOG3Lt3j5SU\nFObMmUOtWrXYvXs3nTp1wsLCgmvXrjFv3jwaNGhAw4YNiY2Nxc/Pj2HDhjFixAiGDx+OkZERrVu3\nJjw8XNlHbGws9vb2WFpaavT0Ll68qFHaf8WKFaxdu5ZJkybx3Xff5dqxyC0y+UlSLrt+/TpOTk65\n2huztLSkU6dO/Pbbb8q8NWvWMGjQIIQQyqmoq6srU6ZMwdPTk3r16jFkyBC0tLTo0qULt2/fxtTU\nlEOHDjFgwAAcHBwYPHgwly9fRgjBgQMHqFixIrq6uly6dInZs2fzzz//EBAQwLhx44C0Xt+tW7dY\nvnw5f/75J5s3byYgIIDAwEC8vLxYuXKlEt+cOXNwdHRk1qxZtGzZMteORW6RyU+SclFqaioHDx7M\nk3LvLi4u3L9/n99//52YmBhiY2MxMzNTloeGhnLx4kWWLFmiFCDV19cHoESJEgghaNSoEZBWht/E\nxIRSpUoBULVqVQICAgAwNDSkVq1aGBoaYmJiwogRIzhy5Iiyn0aNGlGsWDFKly5N2bJlCQoKwsLC\ngubNm2vEa2hoSL9+/YiKimLAgAG5fjxySr5RLUn/5/UCpjo6Ojx79uy92/D09GT69OlK0sktKpWK\nNm3aULVqVTw9PfHz88POzk5ZLoQgICAAU1PTbBUdTR+I6fXp12/qvH5dr3LlysTHx2e6TK1Wk5KS\nkuk+tm/fTteuXfniiy/YvHlzhuT4scmenyT9n9cLmH5I4tu9ezdff/21Ulk5s3F9P1R6whk+fDiH\nDx9m3759GsNhqlQqSpcuze3btzViDw8P5+nTpznad2xsLF988YWyn+xWgtbT08PX15c+ffrQtWtX\nEhISchRHbpPJT5LeIb2A6eveLGB67NgxHj9+TMmSJbl37x6XL1/Gy8srV/YfGxurFDN1cHCgePHi\ntGvXTlmemJhIYmIilSpVwtLSEjs7Ox49esSdO3eYMWMGZmZmmd6hfX1eamqqxvTLly+V/z906BCj\nRo0C0oqdvt7TS01NVY7P6/8PsHTpUooWLYq7uzu6urokF7BX+uRpryS9xfXr19myZQthYWFs2rSJ\nbt26oa+vT1BQEEePHiUhIYG7d+/Su3dvjYShUqk4duxYjve/b98+tm3bRkhICNOmTaNSpUoMHTpU\neaZv165d+Pj4EB0dzfr169m2bRvfffcdtWvXplGjRqxatYqkpCS2bt2KSqXC29ub5s2bc+bMGe7e\nvcvFixcxMjLi6tWrBAcHExgYCMCjR4/46aefiIqKomrVqvTp04d//vmHq1ev4ufnx3fffcft27d5\n+vQpu3fvply5chw5coTw8HD27dtHt27dWLx4MSVLlkRLS4uff/4ZPT29HB+P3CTf7ZWkj6Sgvts7\nffp0AgICWLNmzccOJU/Jnp8kfQSpyckFItFlRgiR6an+f4285idJH0FBLV3/6NEjTp06xZUrV/Dx\n8fnY4eQpedorSVKhJHt+kpSPZBHTgkP2/CQpn2V2oyNdQb0O+F8ke36S9A7vW8g0Pj6eyMjIPIpG\nyi0y+UlSFrJbyBTA1tYWtVqNWq3G3Nw8155p27dvH+XLl8fIyAgXFxdGjhyJs7Mz9evXZ/To0bmy\nj8KqYN5ykqQCIDuFTAGePn1K6dKluXbtGgBlypShaNGiuRJDt27d8Pb25smTJxrFTJOTk3F3d8+V\nfRRWMvlJUhayU8gU0l7j0tXVRUtLi1q1sr6e96G0tLQyvJ6mra2t8Xqd9P7kaa8k5VBgYCA7duyg\nTp06tG7dmhcvXuTp/oQQTJ8+nc2bN1O3bl2OHDlCmTJlOHz4cKbFTAHu37/PTz/9xLp16yhfvjwA\nV69epU2bNnh6etKvXz9MTU1ZsWKFsp9bt24xceJEFi9eTNeuXTl9+nSefq78Jnt+kpRD69evB+DI\nkSM4OjoyePBgdu7cmav7uHfvHo6Ojggh8PX1pWLFinTr1o2hQ4dStGhRNm/eTJUqVRg3bhwrV66k\nePHijBw5kiFDhuDj48PSpUtp1qwZPXr0QEdHB4D69evz8uVLbt++zZYtWzh06BDDhw/H2dmZ6Oho\nevbsyfXr19HX16dVq1Y0aNCA27dva1St/pTJ5CdJuaRDhw5s2rSJdu3a8erVq1y77gdpgwetXbsW\nSLveN3HiRKUQaXppq5CQEC5cuMCSJUuU7dLrClasWJEff/yRzz77jP79+yvLdXV1adSoESqVCmtr\na548eQLAwYMHMTAwULa3sbHBxsaGjRs3MnXq1Fz7XB+TTH6SRO4UMoW0Ecz09PSIjo7O1eT3+jU/\nbW1t+vbtm+E64NuKmbq4uHDr1i0aN27M2LFj+eWXXzKso1KplDaDgoKIi4vTWG5paZnj2oAFibzm\nJ0nkvJBputTUVAwMDDAxMcnF6MhQQLRu3boZ1nlbMdOQkBBWrVrFwYMHWblyJZs2bXrr/iwtLQkM\nDNS40/3q1SusrKxy+EkKDpn8JOkt3lXI9MGDB3h4ePDq1SsAVq1axQ8//JDtasfZkZSUlOnjNm/2\n/CpXrpxlMdNVq1aRkpJC+/btGThwoFIcNSUlRWnn9SKlXbp0oXTp0mzbtg1IG5v477//zvOxgfOT\nTH6SlIU3C5mmj5n7eiHT58+f4+7uTsOGDZkzZw7FihVj7NixuRbDgQMHOHv2LDdv3mTDhg1KMk5I\nSGDNmjWoVCqWLl2qFFLdtm0bERER1K5dm9GjRyujrvn7+zNgwADWrVtHQkICDg4O+Pr6cu/ePX7/\n/XciIyNZu3YtKpWK7du3U6xYMY4dO4a3tzezZ8/Gzc2NtWvX5nqP9mOS7/ZKUj6T7/YWDDL5SVI+\nSk1OLrC1/AobmfwkSSqU5DU/SZIKJZn8JCmfyEKmBYs87ZWkfPS2mx0gb3jkJ9nzk6QsvG8RU+nT\nIpOfJL0hO0VM4+LiMDAwUAqYpv/LjYHKX3f27FmaN2+OWq1m6NChDBs2jNatWzN27NgMr59J70cm\nP0l6Q3aKmB48eJDVq1fj7++Pv78/fn5+VK1aVSkykFuaNm2Kra0tAMuXL2fZsmUcOXIEHx8fXFxc\nPrjdZcuW5VaInyyZ/CTpDdkpYtq0aVN69+6NhYUFFhYWvHz5kmrVqlGkSJFcj0f7jecCdXR0aNas\nmVI5+n0dO3aMBQsW5EZonzT5tKUkfQBTU1ON6b1799KtW7d82Xd4eDhHjx6lR48eADx79oz58+dT\noUIFzp07R4MGDfj+++8BWLFiBTo6Ojx8+JCnT5+yZs0aDh06xLNnz5g9ezZ9+vTB0tKSefPmUapU\nKe7evUtiYiLu7u68evWKmTNnEhISQo0aNVi7di0VK1bk0KFDaGlp5ctnzVNCkqQM1q5dK8qVK5ft\n9Rs2bCjCw8Pfud7Fr2u+9V9WsahUKtG3b1/RrVs3oa+vLxwcHERSUpIQQogOHTqIkydPCiGESEhI\nEOXLlxebN28WQghhaWmptLNp0yYhhBCnT5/WmD937lwxZcoUZfrbb78VgwcPFkIIsXz5cmFlZSUC\nAwNFQkKCMDc3V/b1qZOnvZKUQ8HBwWhpaWVrvI+c2Lp1K3v37uX+/fv4+vrSoUMHgoODOXr0KA0a\nNACgSJEi9OvXj1WrVgFgaGhIv379iIqK0ihi+rrVq1cr2wM4Ojqyfv16UlJS0NXVxcLCgvLly1Ok\nSBEqV65McHBwnn7O/CKTn1SoeXh4oK+vj76+PkZGRh/Uxr59++jSpUsuR5Y1U1NTxo0bx8mTJ5W6\nfK/f+a1QoYKSoLZv385ff/3FF198gY+PT6btvVm4tEKFCiQlJREREZFhXZVKlWmZr0+RTH5SoZYb\nRUz37dtH165dczmyt0sfFzj92uP9+/eVZQkJCVSqVElZz9fXlz59+tC1a1cSEhIytGVpaZlh++LF\ni1O2bNm8/AgfnUx+kpSJdxUxTRcdHU1QUBDVqlXLs1iSkpI0YhJCsHHjRkxMTOjcuTO9evVi9erV\nyvpnzpxh5MiRQNqwmkWLFsXd3R1dXV2Sk5PR09Pj+fPnpKamEhYWxvDhw1m/fr3S/unTp5XHaN48\nDsnJyRmKqH6q5N1eSXrDm0VMu3Xrhr6+vkYRU11dXSBtxLb27dvnWSznz59n48aNqFQq+vXrh7Gx\nMQ8fPkStVvP7779jZGTE6tWrcXFxYfz48ejq6tK+fXslpsWLF1OyZEm0tLT4+eef0dPTo3bt2lSo\nUEEZtnLEiBE8f/6cQYMGUa1aNSIiIpg1axbR0dEcOXKEBw8ecP36dVJSUvj777+VO80lS5bMs8+d\nH+S7vZKUj+S7vQWHTH6SlE9kIdOCRSY/SZIKJXnDQ5KkQkkmP0nKJ7KYacEiT3slKR/JGx4Fh+z5\nSVIWZDHTvCeE4MKFCx9l3zL5SdIbClIx08OHD2NjY4Narebu3bsZlsfHx2NkZESJEiVYt24d3t7e\n1KlTJ1djyCtRUVG4uLjQpEkTZV5+xi+TnyS9oSAVM+3YsSPdu3dHW1sbT0/PDMu3b9+Ojo4OderU\nwcHBgXr16jF69OhcjSGvGBgY4OrqqjEvP+OXDx1J0huyW8z09Zp+d+7cybNipjo6OvTo0YONGzfy\nyy+/oK+vryw7fPgw7dq14/Hjx0Dae7qWlpa5HkN+yc/4Zc9Pkj5AfhczHT58OHFxcaxbt06Z5+vr\nS40aNTQKi968eRM3NzeEEDx58gQnJydGjx6Nq6srlpaWODo6Kus+efKECRMm4OLiQsOGDbl37x6Q\nVqJr+PDhrF27lv/973/4+voihMDd3R0bGxt27txJ1apVqVChAgcPHiQuLo4ZM2bQsmVLfvvtN8qX\nL0/16tW5cuUKACkpKcyZM4fly5fzww8/MGzYMOLj4zP9nK/HD2nH1dPTk/nz59OuXbtcPaYy+UlS\nLjh48CCdO3fOs/YtLS3p1KkTv/32mzJvzZo1DBo0SEkUERERbN68mfnz5yOEwNzcnLJly/LHH38w\nadIkrl+/ztatW/Hz8wPA1dWVKVOm4OnpSb169RgyZAgAS5YsQa1W4+joSMuWLfn5559RqVS0aNGC\nO3fuUKZMGe7du0evXr2ws7MjKSmJGjVq8Oeff9KsWTP8/PywsbFhwIABpKamsmDBAuLj4xk6dCiL\nFy8mMjKSH374IcNnfDN+gOnTp2Nra4urqysDBw7M1WMqk58k5VB+FTN1cXHh/v37/P7778TExBAb\nG4uZmRmQVmfP2NiYDh06aGyjq6uLtbU1hoaGGBkZYWpqypMnTwgJCeHixYssWbKEuXPnAiin06NG\njWLSpElERERw8+ZNnj9/DkCpUqUAaNasGSqVismTJxMdHc2lS5coVaoURkZG2NjYoK2tzaRJk3j0\n6BH379/PsljqmxVjMovf0tKS3r17ExwcnGUx1g8lr/lJhZqHhweTJk0C0q6tfUhNv/woZqpSqWjT\npg1Vq1bF09MTPz8/7OzslOVZPa775vz0YqQBAQGYmpri5uaWYZvSpUsza9YsqlSpwpdffpnpXWYA\nIyMjjIyMiI+PV6rcpKtcuTKQdvMoq2Kp4eHh7/zcXl5edO3aFWtra7y8vPjf//73zm2yS/b8pELt\nUylmmp7Ehg8fzuHDh9m3b5/GnWWVSpXpdlnNL126NLdv39b4zOHh4Tx9+pRx48YB0K9fv7cOVCSE\n4OXLl1SvXj3DstjYWLS1talcuXKOiqUmJSVx4cIFJk6ciK2tLYGBge/cJrtk8pOkTBSkYqaxsbHE\nxsYC4ODgQPHixTUu/icmJiqP5aTHnZKSovHfdCkpKQghlKRkZ2fHo0ePuHPnDjNmzMDMzIwTJ06Q\nlJSEEII///yTqKgojXbSe3EnT56kWbNmVK1aFUjr5aUn6YMHD+Lk5IS+vv57FUt9M/6lS5eiVqtx\ndXXF2to6Vwdql6e9kvSGglTMdN++fWzbto2QkBCmTZtGpUqVGDp0KA4ODgDs2rULHx8foqOj+eWX\nXwgKCkKlUrFy5Up69uzJmTNniI6O5v79+/z77788ffqUPXv20KhRI7Zt28Z3331H7dq1adSokTLo\nkb29PdOmTcPX15dBgwaxefNmlixZQvfu3QGUa4T+/v6sX79eiTU5OZkpU6YAEBYWxqJFiwCyLJYa\nGxuLl5cXKpWKdevW0bZtW3bv3q3EP3z4cLZv345KpcLc3Jzu3bvn6h8Z+W6vJOWjT/ndXn9/f6ys\nrDLtFZ85cwZHR0flTvKnQPb8JCmfpCYnF+jkllOfWj9KXvOTpHzyKVdxTkxMZN26dahUKpYvX050\ndLSyLCoqih07dhASEsL27duVAZcKOnnaK0lSoSR7fpIkFUoy+UlSPpBVnAseedorSfnkXXd6oWDf\n7f2vkT0/ScqCrOT83yaTnyS9ITuVnCGtht/EiRPx8PDA3t6eixcv5kk8d+/epXXr1vTv35+aNWui\nVqvZvXt3rrV/+/Zt+vTpg1qtZsSIEQQEBORa2wXZp3vvXZLySHYqOQP079+fU6dOYWRkREBAAK1b\nt+bBgwe5Hs+gQYNwdHRUylc5OzsTGhqaa+3b2Njg7OzMzp07GTNmDBUqVMi1tgsy2fOTpDdkp5Iz\nwMOHD5XCAIaGhkrpp9zm6+urPDunUqlYuHAhMTExubqP9AIG2p/ws4jvSyY/SfpAPXr0wN7enoiI\nCObPn6+885rb6taty/jx49m/fz8AJUqUUN7tjY6OxsXFhdWrVzNw4ECOHz8OwNGjR2nYsCEbN26k\nS5cumJqacujQoWzv823Vly9evMgvv/zCsmXLNAYb2rt3L5MnT6ZTp044Oztn+hpcQSKTnyR9oGXL\nlqGlpYWlpSV6eno4OTnlyX7Wr19PuXLl6N69O7169SIsLIwyZcoAsHXrVvz9/XFycqJ///6MHz8e\ngPbt2xMQEEBgYCAHDhxg8uTJ75Wc31Z9ed68ebRr145hw4YxduxYAAIDAzl58iQzZ85kz5497Nq1\nS6PoQUEkk58kfaDIyEiqVauGg4MDkydPZuHChXmyHysrK/766y9mz57NkSNHqFOnDo8ePQLSau55\neHgQExPDlStXNE69dXV1+eabbwCwtrbmyZMn2d5nVtWXU1JSsLS0xMnJiX/++UeprrxlyxaePn3K\n3LlzWbhwIS1atMj1U/PcJpOfVKh5eHigr6+Pvr4+RkZG2d5OCEGXLl0YMmQInp6eeHl54erqysOH\nD3M1vvRTxyJFijB+/HjOnz9PXFyc0uMqWbIke/fuZevWrXz11VdZFhdIr+CcXVlVX04vR/XZZ59R\nu3ZtPDw8gLSeX9u2bXFzc8PNzQ1vb2++//77D/3Y+UImP6lQ+9BKzuHh4dy+fRtra2sg7Y5s1apV\nuXEjdx9S3r9/v0abdevWZeDAgUrpKA8PD27evImzszNFixbN8f5KliwJ8Nbqy8+fP+fgwYN4eXkp\nCbl06dKcPn1ao63cPha5TSY/ScrEuyo5m5iYYG5uzs2bN4G0nmBqaiq1ar37LY73UbFiRZycnJRK\nzgABAQG0bdsWgOPHj5P8f6/OXbt2jZiYGOXOcGpqqtITfLOiczpvb2/c3NxISUnBwsICQ0NDgLdW\nX166dCkAAwcOpH379sTGxtK1a1d27tzJb7/9RmhoKLt27eLatWu5eixyW+G5ry1J2ZTdSs779+9n\n7ty51KtXj4iICKZPn64M3JNbrKysuH79OtWqVaNjx47Ex8djbm7Ozz//DMCAAQMYMmQIzZo1w83N\nDS0tLSZMmEDnzp0JCQlh//791KhRg61btxIaGsrZs2dp2rSp0r62tjZr164lKCiIlStXKvOzqr4M\ncOHCBUaMGEHdunWxtLRUKlkvWrSIOXPmMH36dJydnZk5c2auHovcJt/tlaR8kJqc/EnX8/svkslP\nkqRCSV7zkySpUJLJT5KkQkkmP0nKY7KQacEkr/lJUj7ITiFTkMVM85Ps+UnSf5QQggsXLnzsMAos\nmfwk6f9MmTIFMzMzTE1NmTJlSpbrRUVF8f3337Ns2TIGDRrE2bNn8yym5s2bU716dfr27UvNmjXR\n19fHzs6ONm3aoKOjk+VbFFFRUbi4uNCkSZM8i+1TJ5OfJAGrVq3C3NycU6dO8eOPPzJr1iw2b96c\n6bqOjo7UrFmTYcOGMW/ePPr27fter8a9jypVqvD333+zbds2evXqhYmJCRs3buT48ePMnTsXlUqV\n6XYGBga4urrmSUz/FTL5SRJpr38NHTqU6tWrM27cOJo2bcr58+czrPfgwQP27t2rvNVgZGREjRo1\nWLt2bZ7ENXjwYNTqtF9TIYRG4YJ+/fplq+iqlDmZ/CQJGDJkiMa0qalppuXc//jjD4oVK0a5cuWU\neVWqVOHUqVN5Elf9+vWzXKatrY29vT2Ojo5AWpFRc3PzLOvo7d27F09PT+bPn0+7du0ASEpKYsyY\nMaxcuZJhw4axadOm3P8QBZR830aSMvHPP//g7u6eYX5ISAgGBgYa8wwMDAgKCsqv0BQmJiY0adIE\nf39/ABo2bEiVKlWyPBWePn06p0+fxtDQkM8++wyAU6dOcezYMRYsWMC9e/do3Lgxtra2+fURPirZ\n85OkN+zfvx9nZ2clQbxOW1sbHR0djXmvV0/Jb++zX0tLS3r37k1wcLBShLRFixbs3LmTxMREzp8/\nn2fjkBREMvlJhVJWRUyfPHnCrVu3GDZsWKbbmZmZERUVpTHvxYsXGqfB+SmrXl5mvLy8iI2Nxdra\nmp07dwJpRVKvXLnCkiVL+Oqrr/IqzAJJJj+pUMqsiGlMTAzr169n0qRJynrptfHSNW/enJiYGCIj\nI5V59+7do3nz5vkS95ve7Pm9rSeYlJTEhQsXmDhxIra2tgQEBLBv3z7Wrl3LmDFjlEKmhYVMfpIE\nJCYmMn78eDp16sS9e/e4e/cuv/32G4GBgRpFTM3NzWnfvr0yktrz58+5efOmchqZl5KSkpTCpemM\njY25ffs2ycnJPHz4EH9/f6Xw6ZsFWZcuXYparcbV1RVra2vi4uI4ceKEst7Vq1cB8uyxnYJGJj9J\nAr777jtlKMYvvvgCa2trtm7dSqVKlTSKmAJs2LCBc+fOsWTJEtzc3Ni8eXOen/aePHmSgwcPEhIS\nwrJly5Rrc/3790etVlOxYkW2bNlC+/btCQ4OJigoCC8vL1QqFevWrSM1NZXt27czefJkli1bRvfu\n3alevTq9e/fm7t271KtXj6JFi1KxYkVGjBjx0a5h5if5bq8k5QP5bm/BI5OfJOUxWcW5YJLJT5Kk\nQkle85MkqVCSyU+S8pAsZFpwydNeScpj2b3ZAfKGR36SPT9J+sQFBQUREBCQ43YiIiK4f/9+LkT0\naZDJT5LIfiFTPz8/2rRpQ+nSpfn666959OhRvsR39uxZ2rdvT8+ePbGzs6NChQqo1Wo6dOhA7dq1\nOXPmTI7aP336NLVr12br1q25E/AnQCY/qdB7n0Kmq1atYvv27YSEhGBubs7UqVPzPD5vb2+6du3K\n1KlT2b17Nxs3buT+/fv06tWLatWqUaNGjfd6xzczLVq0oHXr1tluZ9myZRrTy5cvz9H+PwaZ/KRC\nL7uFTF++fMmYMWMwMjJCR0eHNm3aoKWllaexPX/+HCcnJ4YNG0ajRo2U+bq6uqxevRp9fX3g/aq7\nZEWlUmWrnfQSWOlWrlzJ9u3bc7z//CafvJQKvewWMtXT00NPTw9ISzY3b95kxowZeRrbjh07iImJ\nybTGXsmSJbGzs+PcuXOEhITQq1cvLl++zKBBg5g2bRqQ1kOLjo4mNTWVp0+f4uHhQUBAAB4eHggh\niImJ4fjx45mevu/atYv79+8jhODKlSssWrQIS0tLDh06xLNnz5g9ezbdunXjxIkTBAQEMHv2bJyd\nnSlSpAjz5s0jLi6Oc+fOsWjRIho3bpynx+lDyOQnSW/IqpBpuvPnzzNx4kTu3LlDq1atsLS0zLNY\nbt26BUDFihUzXf75558DaTHv3LmTv//+m3r16jFp0iSSk5NxcXEhNDQUY2NjzMzMcHZ2xtrampSU\nFHx8fDh8+DBNmzbN0IO9fPkyHh4e+Pj4AGlFETp37syNGzfo2bMnBw4cYOLEiQB07NiRsLAwZXrE\niBFMmDCBcuXK8euvvzJgwACl4GpBIk97Jek1bytkmq5Jkybs3LmTgQMH4ujoSHR0dJ7Fk17F5V2n\n182bN0etVmNtbU1SUhJhYWEUK1aMP//8E2NjY3x8fEhJSeH58+eoVCpKlSpF7dq1MTMzw87OTmkn\n/Zrf6tWrNer72dvbc/fuXf74448M+379VFkIwZ49e9i8eTNz584lNDSUKlWq8OLFixwdh7wgk59U\n6HxoIdPXlS1bFnd3d4yNjXnw4EGexVqlShWAd+4jPQGlD3aUkpICQEJCAm5ublhYWKCnp6es965r\ne0FBQbx8+VKZ1tPTw9jYmKdPn751u7CwMIQQuLm54ebmxvz58/n9998xNDR863Yfg0x+UqHzoYVM\nM2NsbPzWXmJOffvtt+jo6LBjx45Ml6cnsczu0gYFBdGtWzemT5+e4bT5XXd1K1asmCHhJiQkYGVl\n9dbtSpUqRUREBPfu3VPmxcfHF8jnB2Xykwq97BYyffXqFd7e3kqv6sGDB9jY2GBmZpZnsZUvX55f\nfwdpj9QAACAASURBVP2VX3/9lUOHDmksO3XqFCtWrCA1NVWJKb0waWpqKpcvXyY2NpbExET8/f2J\niIjgxYsXpKSkZDruSEpKijJvyJAhnD17VrlWd/36dapXr079+vXR09Pj+fPnpKamEhYWRokSJYiI\niADS7k63bduWgQMHcvv2bfz8/HB1dcXCwiLPjtGHkq+3SYWera0tW7Zs0ZjXqFEjzp8/z6VLlxgw\nYAB37twhLCyMpk2bYmhoiJ2dHXp6enz33XcZBjR6U2683nbw4EHmzp1LamoqFStWpESJEjRt2pSq\nVavSoUMHmjRpgpeXF3v27GHYsGHMmjULJycnmjdvzsuXL3FxccHX11e5mTNhwgQiIiJYtWoVTZo0\n4fLly/Tv3x9LS0uWL1/O559/zv79+1m3bh0NGjTg8ePHTJgwAXNzc5KSkqhXrx7GxsZ4enpSunRp\n6tevz5dffslvv/1GSkoKjo6OXLp0iRo1auDl5UWNGjWyfQzyi0x+kpTH5Lu9BZNMfpKUh2Qh04JL\nJj9JkgolecNDkqRCSSY/ScojspBpwSZPeyUpD73PzQ6QNzzyk+z5SZJUKMnkJxV62S1k+rqBAwey\nfv36PI4szd27d2ndujX9+/enZs2aqNVqdu/enSttP3v2jOnTp6NWq6lZsyYjR45k4MCBtGvXjmXL\nlikPTwMEBARQvnz5Almk4EPI5CcVau9TyDTd9u3bOXPmTI4LiGbXoEGD6Nu3L1u2bOHGjRs4OTkR\nGhqaK20bGRkxefJkAMaMGcOSJUvYsGED69atY/369bRo0YL4+HggrdTXmDFj8vSNlvwkk59UqGW3\nkGm6+/fvEx8fT6VKlfItRl9fX+U9Y5VKxcKFC4mJicm19tMrxryezM3MzDhw4AA3b95UkqOuri6j\nRo1CV1c31/b9McnkJxVq2S1kCmkv9m/evBkHB4d8iOz/q1u3LuPHj2f//v0AlChRQokhOjoaFxcX\nVq9ezcCBAzl+/DgAR48epWHDhmzcuJEuXbpgamqa4d3gdzExMaFv375s2LABgODgYBYsWMDt27eB\ntMIPM2fOZNy4cTRo0IA9e/Yo254/f56pU6cyaNAg1Go1zZs35/Lly0BayXsPDw8mTZpE//79iYyM\nzNHx+VAy+UnSa/755x8GDhyY6bJFixbxww8/5HNEsH79esqVK0f37t3p1asXYWFhlClTBoCtW7fi\n7++Pk5MT/fv3Z/z48QC0b9+egIAAAgMDOXDgAJMnT2bu3Lnvve8aNWoQGRlJeHg4p0+fxtXVlbCw\nMADc3d1p2bIl8+bNw9XVlYEDBxIbG4sQgr59++Lm9v/au/O4mtP//+OPc0KKbIVIxKBGZI80DB/G\nEjExxiQxtiyTIctk/ygTmhBpENHMIPsWn5EJ2XfZK2uK0mJrp+38/ujX+9vRIqPSct1vN7eZc97b\ndU68ut7L9bzs8fT0pEOHDrRv355OnTqxa9cuzp07x88//4yTkxMNGjRg+PDhhfdlfQRR/ATh/8sv\nyPTQoUN06tRJKf+vuJ4Sa9KkCdevX2fJkiUcOXKEtm3bSrHzlpaWuLm5ER8fz+XLl3n9+rW0naqq\nKl27dgXA0NCQ8PDwjz52Vj5ghQoVsLKyUlrm5eXFqVOncHZ25tatW5iYmPDs2TOio6OJiIiQbpZk\nT4r29PSkc+fO0j5Gjx6Nn58fT58+/ei2fSpR/IRy5d8Gmf7111/069cPNTU11NTUOH36NOPHj8fE\nxKRI25sVUVWpUiVmz57N2bNnSUpKYubMmUDmPB4HDhxg+/btGBsb51mQZTKZtK+P8fDhQ+rWrUvN\nmjVzLAsLC2PGjBnY29vj6OjIP//8g4GBAbVr10ZfX186DY6Pj2fw4MFA5veclJQk7SPrEkNERMRH\nt+1TieInlCv/Nsh09+7dJCcnS3+6deuGp6cnFy5cKNL2+vj4cPPm/z343K5dO0aOHElISAiQWcxv\n3bqFjY0NlStXLtRjZ+UX5nWNU1NTE39/f+m1QqHg9u3byOVydu3axcGDB9m0aRPDhg2Tent6enpK\nwabv3r0D+GBIalEQxU8o1woaZJqb4jjtbdy4MWPHjiUhIUF6LzQ0lN69ewPg5+cnzfNx9epV4uPj\npcKdPbA0+/N678taP/vniYuLw8rKiqZNm/Lf//5X2l/2/w4cOJCffvqJixcvEh4ezi+//IKmpiYK\nhQIHBwcWLlxIp06dqF+/PikpKQBMnjyZ3bt3S3er/f39+f7776ldu/YnflMfT2TtCOXamDFj8Pb2\nVpqEu0uXLtI/al9fX969e5fr4x3F8ZxfkyZNCAgIwMDAADMzM5KTk9HR0WHx4sUAWFlZMWHCBL7+\n+mvs7e1RUVFhzpw5DBgwgMjISHx8fGjVqhXbt28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EAijMO7r5EUnOxUf0/AShlHv79u0H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"text": [ "" ] } ], "prompt_number": 84 }, { "cell_type": "code", "collapsed": false, "input": [ "years = np.arange(2004, 2009)\n", "heights = np.random.random(years.shape) * 7000 + 3000\n", "\n", "box_colors = brewer2mpl.get_map('Set1', 'qualitative', 5).mpl_colors \n", "\n", "plt.bar(years - .4, heights, color=box_colors)\n", "plt.grid(axis='y', color='white', linestyle='-', lw=1)\n", "plt.yticks([2000, 4000, 6000, 8000])\n", "\n", "fmt = plt.ScalarFormatter(useOffset=False)\n", "plt.gca().xaxis.set_major_formatter(fmt)\n", "plt.xlim(2003.5, 2008.5)\n", "remove_border(left=False)\n", "\n", "for x, y in zip(years, heights):\n", " plt.annotate(\"%i\" % y, (x, y + 200), ha='center')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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DmzMds7Ne/C+j5x/uTMZsbvkiY+eG+Zj93eISo+cf7ozG7GabuXPjuiAEbb+P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\nAgAAMIjYAgAAMIjYAgAAMOj/AcNObkwWIZTqAAAAAElFTkSuQmCC\n", "text": [ "" ] } ], "prompt_number": 85 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Dot Plots" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Scatterplots" ] }, { "cell_type": "code", "collapsed": false, "input": [ "plt.figure(tight_layout=True, figsize=(6, 4))\n", "plt.subplot(121)\n", "plt.scatter(diamonds.carat, diamonds.price, color='k')\n", "plt.ylim(0, diamonds.price.max())\n", "plt.xlim(0, 5)\n", "plt.xlabel(\"Carat\")\n", "plt.ylabel(\"Price\")\n", "remove_border()\n", "\n", "plt.subplot(122)\n", "plt.scatter(diamonds.carat, diamonds.price, color='k', alpha=.01)\n", "plt.ylim(0, diamonds.price.max())\n", "plt.xlim(0, 5)\n", "\n", "plt.xlabel(\"Carat\")\n", "plt.ylabel(\"Price\")\n", "remove_border()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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NGsdut7PaEJBdnZOLi2fcuHEaQ8dgMIgpU6Z0+HnyHYV4/QD7onRKUZH0mhwS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\nCKi0tBSzZ8/G2rVrMXz4cPTr1w/33nsvAGDjxo2YN28eioqKsG/fPmz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"text": [ "" ] } ], "prompt_number": 86 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Trend Lines" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# the raw data\n", "x = diamonds.carat[diamonds.carat < 2]\n", "y = diamonds.price[diamonds.carat < 2]\n", "plt.plot(x, y, 'o', mec='none', alpha=.05)\n", "\n", "#fit and overplot a 2nd order polynomial\n", "params = np.polyfit(x, y, 2)\n", "xp = np.linspace(x.min(), 2, 20)\n", "yp = np.polyval(params, xp)\n", "plt.plot(xp, yp, 'k')\n", "\n", "#overplot an error band\n", "sig = np.std(y - np.polyval(params, x))\n", "plt.fill_between(xp, yp - sig, yp + sig, \n", " color='k', alpha=0.2)\n", "\n", "plt.xlabel(\"Carat\")\n", "plt.ylabel(\"Price\")\n", "plt.xlim(0, 2)\n", "remove_border()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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ABx98ECEEb3zTm/j7d/0D2q3WxIQfePHn8Xg8E6e5LNoKwoFQ2qw11biIxHGJ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FyoZ7gycHW9JMTA0vY8KM/hYsT6cMsYPr+ujsG5fJ8Yh+tdwujx/R+90XdS2gR32q28/banP+b2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w+tB7Kf7bDyDM3S99EahJUXTRRJpo8SR1Nf0EILDR00fwfUoQrvT9nfYtgBzNDIcGtrIJCkHn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\nWAKBgOrr66219EzTVExMjBITE5WRkSGv1yuXy6W4uDi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"text": [ "" ] } ], "prompt_number": 87 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Bubble Charts" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Pie Charts" ] }, { "cell_type": "code", "collapsed": false, "input": [ "t = titanic.groupby(['pclass']).size()\n", "print t\n", "\n", "plt.subplot(aspect=True)\n", "plt.pie(t, labels=t.index.values, colors = dark2_colors[0:3], autopct='%i%%')\n", "plt.title(\"Passenger Class on the Titanic\")" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "pclass\n", "1st 323\n", "2nd 277\n", "3rd 709\n", "dtype: int64\n" ] }, { "metadata": {}, "output_type": "pyout", "prompt_number": 88, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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earPLiV02nRrp0w0LQylunzOFGbvWS/CeAAnd42CEggQr9pD7+BAMT7nZ5cQu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\n", "text": [ "" ] } ], "prompt_number": 88 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Donut Charts" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##Stacked Bar Chart" ] }, { "cell_type": "code", "collapsed": false, "input": [ "tclass = titanic.groupby(['pclass', 'survived']).size().unstack()\n", "print tclass\n", "\n", "red, blue = '#B2182B', '#2166AC'\n", "\n", "plt.subplot(121)\n", "plt.bar([0, 1, 2], tclass[0], color=red, label='Died')\n", "plt.bar([0, 1, 2], tclass[1], bottom=tclass[0], color=blue, label='Survived')\n", "plt.xticks([0.5, 1.5, 2.5], ['1st Class', '2nd Class', '3rd Class'], rotation='horizontal')\n", "plt.ylabel(\"Number\")\n", "plt.xlabel(\"\")\n", "plt.legend(loc='upper left')\n", "remove_border()\n", "\n", "#normalize each row by transposing, normalizing each column, and un-transposing\n", "tclass = (1. * tclass.T / tclass.T.sum()).T\n", "\n", "plt.subplot(122)\n", "plt.bar([0, 1, 2], tclass[0], color=red, label='Died')\n", "plt.bar([0, 1, 2], tclass[1], bottom=tclass[0], color=blue, label='Survived')\n", "plt.xticks([0.5, 1.5, 2.5], ['1st Class', '2nd Class', '3rd Class'], rotation='horizontal')\n", "plt.ylabel(\"Fraction\")\n", "plt.xlabel(\"\")\n", "remove_border()\n", "\n", "plt.show()" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "survived 0 1\n", "pclass \n", "1st 123 200\n", "2nd 158 119\n", "3rd 528 181\n" ] }, { "metadata": {}, "output_type": "display_data", "png": 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dutUD1QCAs2qHs99++02NGjXSb7/95miz2+3at2+fK+oCAJd5/PHH9fPPP6tb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\n/vjjxu23324YhmFkZmZW+e8Bc+D4df4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"text": [ "" ] } ], "prompt_number": 89 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Small Multiples" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Waterfall Chart" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##Stacked Area Chart" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Histogram" ] }, { "cell_type": "code", "collapsed": false, "input": [ "plt.hist(diamonds.depth, bins=np.linspace(50, 70, 200))\n", "plt.xlabel(\"Depth\")\n", "remove_border()\n", "plt.xlim(55, 70)\n", "plt.show()\n", "\n", "\n", "plt.hist(diamonds.depth, bins=np.linspace(50, 70, 40))\n", "plt.xlabel(\"Depth\")\n", "remove_border()\n", "plt.xlim(55, 70)\n", "plt.show()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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79u1z39/S0qLy8nKtWbNGpaWlOnTo0KDbAAAAokm/QeyLL75QXl6eHA6HbDabpPPhrKio\nSD/5yU903333aeHChSosLJTL5QqozelkegQAAESffqcmU1JSet23Y8cONTY2KicnR5KUnZ2tuLg4\nbdy4UUlJSQNu27Rpk2699dagvSgAAIBwENBi/d27dysjI0Oxsd/kuMzMTNXV1WnPnj1KT08fcBsA\nAEC0CWhn/dbW1l6L9keOHCmHwyGXy6Xk5GS/25KTk+VwOALpBgAAQFgLqCIWGxuruLg4j/surAEL\npA0AACAaBVQRGzNmjF5//XWP+9rb2zVhwgSlpqZq165dA2qbOHGiz/+rsrLS/e+cnBz3+jIAAIBw\nF1AQy8nJ0bJlnvsNNTU1qbS0VOPHjx9QW3Nzs8rKynz+X92DGAAAQCTxa2rywvShZVmSpBkzZigt\nLU319fWSzgetjo4OFRYWavr06QNq6+zsVGFhYdBfGAAAQKjrtyL2+eefa+3atbLZbNqwYYPGjh2r\nSZMmafPmzVqyZIkaGxu1d+9e1dbWKiEhQZIG1LZlyxZ3GwAAQDTxax+xiooKVVRUeNyfkZGh6upq\nSVJ5eXlQ2gAAAKIJF/0GAAAwhCAGAABgCEEMAADAEIIYAACAIQQxAAAAQwhiQJTpcjlNdwEA8H8I\nYkCUiYuxa9z6hRq3fqHprgBA1COIAQAAGEIQAwAAMIQgBgAAYAhBDAAAwBCCGAAAgCEEMSDCsV0F\nAISuWNMdADC0LmxXcYFj/jKDvQEAdEdFDAAC0LPSSOURQCCoiAFAAKg0AggGKmIAAACGEMQAAAAM\nIYgBQBB0XyPGejEA/mKNGAAEQfc1Y6wXA+AvKmIAAACGEMSACMO0GACED6YmgQjDtgoAED6oiAEA\nABhCEAMAADCEIAYAAGAIQQwAAMAQghgAAIAhBDEAAABDCGIAAACGEMQAAAAMIYgBAAAYQhADAAAw\nhCAGAABgCEEMAADAEIIYAAyxLpezz2MA0SvWdAcAINLFxdg1bv1C97Fj/jKDvQEQSqiIAWGO6goA\nhC8qYkCYo9oCAOGLihgAAIAhBDEACDKmiwH4i6lJAAgyposB+IuKGAAAgCEEMQAAAEMIYgAAAIYQ\nxIAwxGJwAIgMBDEgDF1YDN59QTgAIPwQxIAQxLUJASA6sH0FEILY/iCydbmcioux9/o3gOhDEAOA\nYdY9aBOygejG1CQQBpiaBIDIREUMCANMVQJAZKIiBgAAYAhBDAAAwBCCGAAAgCFBDWJtbW3q7OwM\n5o8EogKL8QEgOg06iM2aNUsxMTGKiYnRzJkzNWLECLW0tKi8vFxr1qxRaWmpDh065H58X21AtOq+\nUz675QNA9BjUtyb379+v/Px8Pf3005KkcePGybIsFRUVafny5crLy9MNN9yggoICHTlyRDabzWvb\n4cOHZbezoSEAAIgug6qIrVq1SvHx8UpMTNSUKVM0atQo7dixQ42NjcrJyZEkZWdnKy4uThs3bvTZ\ntmnTpsG+DgAIS1zOCohuAQcxp9OptrY2rVixQllZWSouLlZXV5d2796tjIwMxcZ+U2zLzMxUXV2d\n9uzZo/T0dK9tABCNek5Lc7kjILoEPDVpt9tVW1sry7L0wgsvaMGCBaqoqNDp06eVlJTk8diRI0fK\n4XDI5XIpOTnZoy05OVkOhyPQbgAAAIStQS/Wt9lsKikp0cqVK1VTU6PY2FjFxcV5PMblcsmyLJ9t\nQDRiCgoAELTtK+bMmaP29nalpqbq5MmTHm3t7e0aO3Zsn22+VFZWum8NDQ3B6i5gXPcpKQBAdAra\ntSadTqeysrKUm5urZcs8r4PX1NSk0tJSjR8/vldbc3OzysrKfP7cysrKYHURAAAgpARcEdu3b5/W\nrVvnnlqsqqrSokWLNGPGDKWlpam+vl7S+RDW0dGhwsJCTZ8+vVdbZ2enCgsLg/BSAAAAwkvAFbHW\n1lYtXrxYNTU1ys/P1/XXX6+ioiJJ0ubNm7VkyRI1NjZq7969qq2tVUJCgte2LVu2uNsAAACiScBB\nrLCwUMePH/falpGRoerqaklSeXm5320AEO26XE6PLSx6HgOILEFbIwYAGLwLX+K4wDF/WR+PBhDu\ngnrRbwC+sV0FAsHO+0BkoyIGDBMqHQgE7xsgslERA4Aw0r0iRnUMCH9UxAAgjHSvkFEdA8IfFTEA\nAABDCGIAAACGEMSAIcL6HQBAf1gjBgwRvu0GAOgPFTEAAABDCGIAAACGEMSAQWBPJwDAYLBGDBgE\n9nQCAAwGFTEgSKiIAQAGiooYECR8SxIAMFBUxAAAAAwhiAEAABhCEAMAADCEIAYMAAvyAQDBxGJ9\nYABYkA8ACCYqYgAAAIYQxIA+MBUJABhKTE0CfWAqEgAwlKiIAd1QAUM46fl+5f0LhB8qYkA3VMAQ\nTni/AuGPihiiHlUEAIApBDFEvQtVhe6VBQAAhgNBDAAAwBCCGAAAgCEEMQAAAEMIYog6LM4HAIQK\ntq9A1OEr/wCAUEFFDAAAwBCCGABECHbaB8IPU5MAECGYdgfCDxUxRAQqAQCAcERFDBGBSgAAIBxR\nEQMAADCEIIaI1H1qkmlKAECoYmoSEan7VKVj/jKmLRGVulxOxcXYfR4DMI8gBgARirWTQOhjahIA\nogRT9kDooSIGAFGi55Q9APOoiCFk9fXXO3/NA4PDZwoIDVTEELL6+uudtS/A4PAZAkIDFTEAAABD\nCGIIGX1NjTBtAgCIRExNYtj0t6dRX1MlTKMAACIRQQzDpmeY+n+ljxvsDYCB6P6HExvDAsFDEMOQ\n6uuETZULCF19Vaz5rALBQxBDUHHyBsLTQJYKAAgeghiCipM3EJ6C+dnlGpeA/whiGBROsED0GcwX\nbwB4IohhUDjhAtFnMF+8oVoGeCKIAQAGpb8/yLqHrYE8tucxIQ6RiCCGfvG1dQCD0deXdthPENHO\nSBBraWnR448/rmuvvVZvvPGGHnnkEV199dUmugINbL2HY/4yToQAgmagFTJ/UT1DuBj2IGZZloqK\nirR8+XLl5eXphhtuUEFBgQ4fPiy7nQ/JcOjvL1A2WgUQKgZSTRvIFCgQKob9WpM7duxQY2OjcnJy\nJEnZ2dmKi4vTpk2bhrsrAWloaDDdBb/0vDZj9+MLJ6gLt576a/fH100fB/S8aMRY+Ydx8k80jVPP\nc1X34568nRO7n8+7t3NtW0/h8nsvFAQyVsMexHbv3q2MjAzFxn5TjMvMzFRdXd1wdyUgJt+QfZ0o\neh4HI0wNRjT9Mhgsxso/jJN/GCfvvIW2opW/9Rriek5h9ne+HUiIG8xzTSGI+S+QsRr2qcnW1lYl\nJSV53JecnCyHwzHcXRkS/a1LGMw3gvpbq9VXGZ4d7gHAPwNdvtG9vWebP19G8Pe5ffVzII/15/EY\nPsMexGJjYxUXF+dxn8vl8uu5Aw05gT53MGFqIB/Ynu19fUAvHAMAhlZ/68sG+s1Of8/j/f3+6CvU\nDTQAdn98f7/jnJbL78cO1e9WU0FyWP5fa5g9/vjj1uTJkz3umz17trVgwYJej508ebIliRs3bty4\ncePGLeRvpaWlA85Fw14Ry83N1bJlnn8RNDc3q6ysrNdj33333WHqFQAAwPAb9sX606dPV1pamurr\n6yVJTU1N6uzsVGFh4XB3BQAAwKhhr4jZbDZt3rxZS5YsUWNjo/bu3astW7YoISFhuLsCAABglM2y\nLMt0J8JBW1ub4uPjNWLECEnSRx99pJdfflmjRo1SQUGBUlJSDPcwdPQcK3jiveMfxsl/jJV/fI0T\n49cbYzKMAltyHx1+8IMfWDabzbLZbFZWVpb7/pdeesmaMWOGdfToUYO9Cy3exmrXrl3W4sWLrZUr\nV1pz5861mpqaDPfSPG/vHYfDYS1YsMD605/+ZM2bN896//33DfYwNHgbp4aGBuvaa6+1EhMTrRtv\nvNH6+OOPDfYwdPR1PnI6nVZOTo7V0NBgoGehxdc4cT7vzduYcD7/xscff2zFxMS4f+dduDU1NQV0\nPieI+fDWW29ZS5Yssfbv32/t37/f+uyzzyzLsqz6+norJSXFamlpMdzD0OFtrM6dO2ddccUVltPp\ntCzr/C/RvLw8wz01y9t7x+VyWVOmTLG2b99uWZZlffDBB1Z6erp17tw5U900zts4ffbZZ9a8efOs\ngwcPWtu2bbPS0tKi/v1kWf2fj1avXm19+9vftnbu3DnMPQstvsaJ83lv3saE87mn1atXWzt27LCO\nHTtmHTt2zGpubrauueYay7KsgM7nBDEfSkpKrCeeeML68MMP3fe5XC5r0qRJ1tKlSw32LPR4G6sT\nJ05YCQkJ1v/+9z/Lsizr3XfftaZOnWqqi8b5eu/885//tBISEqyuri73fZmZmdarr7463F0MCb7G\n6W9/+5t16tQp9/H69eut+Pj44e5eSOnvfLRr1y6rtrbWmjhxYlQHMV/jxPm8N19jwvnc0/Hjxz2O\na2trrV/96lcBn8+H/VuT4cDpdKqtrU0rVqxQVlaWiouL1dXVpTfeeEPNzc366KOPdNtttyk7O1vP\nPPOM6e4a5WusUlJSNHXqVM2bN0+nTp1SVVWVli5darq7xvh67+zevVvp6elhe8mvYPM1TsXFxUpM\nTHQ/bvTo0UpLSzPYU/P6Oh99+eWX2rNnj26++WbDvTTP1zhxPu/N15hwPvd0+eWXexxv3rxZRUVF\ngZ/PhyQuRgiXy2X99a9/tb71rW9Zv/71r62nn37aSkpKsj7//HPLsixr//79lt1ut/79738b7ql5\nPcfKss7/1ZCdnW1dcskl1oYNGwz30Cxf752bbrrJmjFjhsdj586daxUVFZnopnH+fsb+8Ic/WCtX\nrjTRxZDR11j99re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"text": [ "" ] } ], "prompt_number": 90 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Density Plots" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#KernelDensity objects estimate the (log of the) density of points\n", "#see http://scikit-learn.org/stable/modules/density.html\n", "from sklearn.neighbors.kde import KernelDensity\n", "\n", "\n", "age = titanic.age.dropna().values # drop missing values, turn to normal numpy array\n", "age = age.reshape(-1, 1) # scikit-learn expects data matrices of shape [ndata, ndim]\n", "\n", "kde = KernelDensity(bandwidth=2).fit(age)\n", "x = np.linspace(age.min(), age.max(), 100).reshape(-1, 1)\n", "density = np.exp(kde.score_samples(x))\n", "\n", "plt.plot(x, density)\n", "plt.plot(age, age * 0, 'ok', alpha=.03)\n", "plt.ylim(-.001, .035)\n", "\n", "plt.xlabel(\"Age\")\n", "plt.ylabel(\"Density\")\n", "remove_border()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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9aby/7XuzI4mIuDUVPKn2zkzRNtcKWo/WwL82r193IwAvrf/a+Wg6ERE5lwqe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\nAHg8Hqqqqti7dy9ut5uQkBAyMzMJDw+vt96kSZOIiYnR5qg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"text": [ "" ] } ], "prompt_number": 91 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Box and Whisker Plots" ] }, { "cell_type": "code", "collapsed": false, "input": [ "male_age = titanic.age[titanic.sex == 'male']\n", "female_age = titanic.age[titanic.sex == 'female']\n", " \n", "plt.boxplot([male_age, female_age])\n", "plt.ylabel(\"Titanic Passanger Age\")\n", "plt.xticks([1, 2], [\"Male\", \"Female\"])\n", "plt.ylim(0, 85)\n", "remove_border()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 92 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Heat Maps (2D Density Plots)" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from sklearn.datasets import make_blobs\n", "from matplotlib.colors import LogNorm\n", "\n", "X, _ = make_blobs(n_samples=20000, centers=3, random_state=42, cluster_std=2)\n", "\n", "plt.scatter(X[:, 0], X[:, 1], 2, color='k')\n", "plt.title(\"Points\")\n", "plt.xlim(-15, 15)\n", "plt.ylim(-15, 15)\n", "plt.gca().set_position([.125, .125, .62, .775])\n", "plt.show()\n", "\n", "plt.hist2d(X[:, 0], X[:, 1], bins=40, cmap='Greens', norm=LogNorm())\n", "ax = plt.gca()\n", "plt.title(\"Heatmap\")\n", "plt.colorbar()\n", "plt.xlim(-15, 15)\n", "plt.ylim(-15, 15)\n", "plt.show()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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99atXr0IQBIiiiLNnz2LFihX0BYHjOEiSBFdX13yv+zGRmJgIMzMzaDSat+75wGDkBRNt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\nDw+vsVoayJkzZ8iKFSvIpUuXiKOjI3F0dCQ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j9WZN0HSywyyu3qApXINZ4zg1tzmGdPQze59U1B4yihs4ZrBRnIlDjc5N+frHmTWO21K1\nwyjuG1+Z4Rhj+j4xec9Fg+m8aGqHCxHtoiMcrq2wZGRkaOTIkV2eKy4uVmlpqfLy8iRJEydOVFxc\nnN544w23hgUAAIYsK7xHNEV00+2GDRuUnZ2t2Ng/L+Tk5ORo7dq1kRwWAAD0MRG9rbmqquqszbep\nqakqL3f+3BkAAOAuP18SimjBEhsbq7i4uC7PdXSce69AUVFR55/z8vI6LyUBAOB3JSUlKikpieoc\nKFjOYcSIEVq/fn2X5+rq6jRmzJhu408vWAAA6EvO/EV80aJFvT4Hy8cf1xzRPSx5eXk6cOBAl+d2\n797NygkAAOgRVwuWU5d7bPuLj0e66qqrNHr0aK1bt06StGvXLjU1NWnmzJluDgsAAAzQh0VSdXW1\nli5dKsuytHLlSmVmZmrChAl688039eCDD6q0tFRbtmzR6tWrlZho1psBAAC4x8dbWGTZp5ZDosyy\nLHlkKr7nZkOsl/e8aBTX1NbsnGv7RqNcyUlmBe2evc53m5VXVRvl6vikwShOJww++ivk4neEtH5m\ncclxzjGS0ZrqFV+ZaJSqo8P5/Xrjl680yjUoIc0o7js533OMqW6uNMqVlTTWKA6IlN7+uWdZltIW\nTg0rR93Dm6P2s5oPPwQAAJ4X0buEAACAd0R7H0o4KFgAAAgIChYAAOB5Pq5X2MMCAAC8jxUWAAAC\ngktCAADA8yhYAACA51GwoM/qH2fWxG1b1W7HGNOGcHX1x4ziTpxodYzpaDv3p4N3kWj4VkiNd46p\nMmzcN8Cw2ZsJgyZukpQyKMUxpqqq1ijX5EuyHWMaThw3ymXaOG7T5+85xoxNGWeUy01lx/YbxWUk\nDneMSYjp7+qYNMjD6fxcsLDpFgAAeB4rLAAABISPF1goWAAACAo/XxKiYAEAICD8XLCwhwUAAHge\nKywAAAREyMcrLBQsAAAEhI/rFQoWAACCgj0sAAAAEcQKC85r+rDpRnEDYk26c75vlGvjkXqjuIED\nnbu2mvr85BGzwBiD306GmnUqVbzB7wuxZr9TpGWYHYvU5AHOudKSjHINSnTuXFzbbNa1+LZLv24U\nV9NSbRRn4o81mxxjJqZPMspl0sHWlGkHW1Mt7Yadlw2YduGFd1ny7woLBQsAAAHh50tCFCwAAASE\nnwsW9rAAAADPY4UFAICA8PECCwULAABB4edLQhQsAAAEBAULAADwPD8XLGy6BQAAnscKC84rK2ms\nUdzy0pWOMd+86KtGuSqPmTUbq6prcIyJjzc7xRuPNxvFtbW3O8aEBiQY5Wpv73CMSUyIN8o1dHC6\nUVxMbIxjzMUjhxnlSksw+/808eu9r7qWq+HEcaO4fjHOx3Z79YfhTqeL/nHOzfbMmjBKWUlZRnEm\nzfamDJ5mlAv+5+MFFgoWAACCws+XhChYAAAICD8XLOxhAQAAnscKCwAAAeHnFRYKFgAAAsLH9QoF\nCwAAQeHnFRb2sAAAAM9jhQUAgIDw8woLBUsflBBj1njKTTdP/D+OMfsb9hnl+vbE6UZxbx/Y6hiz\n53PnplmS9NWplxjFHThwyDGmqfmEUa60tCTHmPY250Z1kpQx1KxxXGp/58Zlqf36GeXKTB7sGPNf\nB/ca5Tpp0JBPkqqbmhxjDhk0FJSkUMjkG3epUa7Lhg01ihuY6Pxv3thq1sQwM3m/UdzXs/IcY8qO\nmeUyaSTpZi64j4IFAAB4no/rFfawAAAA72OFBQCAgOCSEAAA8D4KFgAA4HWssAAAAM/zcb3CplsA\nAOB9UVlhqa2tVUJCgvr37/1+IQAABBWXhAxMnz5d77//viQpJydHu3bt6q2h0QsyEoc7xpg2iio5\n9I5R3CUZIx1j4kLuLiL2y3F+y1wyOMMo17o9zo30Rg8ZZJTrKyMuMopLjHVuCvdBpVnjr0EJaY4x\nwwYMMMr1/p4DRnFNx1scY9rbO4xyJac4/8KUkGDWRK/kT3uM4uLjnc+f+Pg4o1yTslqN4k60/Ydj\nzD/k/tgol0lTONP3eUu7cxNAKTqNMPsyChYH27Zt03XXXacnn3xSkjRypPMPGgAA4C4/Fyy9sofl\n8ccfV0JCgpKTk5Wbm6shQ4b0xrAAAKCPiHjB0t7ertraWj322GMaP368brrpJp08eTLSwwIAgDNY\nVniPaIp4wRITE6M1a9aosrJSL774otasWaOFCxdGelgAAHAGy7LCekRTr226tSxLc+bMUUtLi+6/\n/3794he/OCumqKio8895eXnKy8vrrekBABBRJSUlKikpieocol10hKPXb2ueNWuW7rjjjm5fO71g\nAQCgLznzF/FFixZFbzI+1OsFS3t7u8aPH9/bwwIAEHh+XmGJ+B6WrVu3atmyZero+KI3wlNPPaX7\n7rsv0sMCAIAzsIflPKqqqnT//fdrxYoVuu666zR16lQVFhZGelj0MpPmTqaNosamjDOKS41PdYy5\ncmi9Ua6G1gajuA0V2xxjvnVRvlGuQf2dG69dOXSKUS7TY/brva86xpg05JOkjRX/7Rizo+yQUS5T\nFVVHHGPi4sy+rVXXOp8bJ1rN7mgc0D/BKC42JsYxJj01ySjXDpkd2wHx8Y4xL+950SjX2FSzBoUm\n3GwwFxfqpxjL+dgi+nf6hCPiBcvMmTNVWVkZ6WEAAEAfxqc1AwAQENG+rBMOChYAAAKCggUAAHge\nBQsAAPA8H9crvfPhhwAAAOFghQUAgIDgkhAAAPA+ChbAPaYNpdxk0oROkn44Odcxpqal2ijXX1/8\nvx1j/liz3SjXG5/8zijOREVjjVHc7mrnuJMn24xyHap0bggnSU31Bs0Hj5s1e1PI4Bu3bZaqNbHF\nLNAgn0lzuZ44WG/SPHGfUS6TxnEZicONcpk2kjRpSglzfl5hYQ8LAADwPFZYAAAICJOFRa+iYAEA\nICD8fEmIggUAgIAI+bhgYQ8LAADwPFZYAAAICC4JAQAAz/PzZRUKFgAAAsLPe1goWNBr3G4A5WaD\nOTdzmTbOMjke+xvMGnqNTh5pFFfd7Nyg7b8O7jXKdazRufHXgU8rjXI1NZ8wilNDq1mcieMGTe1O\ndpjlsuPN4vo7f8ttPG7WUK2l1exYlFcPcIwZnpRklOvjI/9tFGcib8R1ruVCMFCwAAAQEOxhAQAA\nnsclIQAA4HmssAAAAM/z811Cfp47AAAICFZYAAAICPawAAAAz2MPCwAA8DxWWACPcrMhnNvKju13\nLdfxNrNmY6v3bXOMGTbAudGYJFXIuQmdqbYmw4Zw/WKcYw43hzeZ03XYZnF1hvM/0e4Y0pqcYJQq\nJcmsEePx4y2OMWPShhrlGpw40DFmbMo4o1wt7WbnrIm4UD/FWAbnBnyNggUAgIDw7/oKBQsAAIHB\nJSEAAOB5fi5Y6MMCAAA8jxUWAAACgtuaAQCA5/n5khAFCwAAAeHfcoU9LAAAwAdYYQEAICC4JASg\nxzISh7uWy7S7aFljpWNMRWONUa6Jo0Y4xhw92miUy7bNOso21h5zDhpu1gFW9QbdadsNO90O7GcW\nZyA2xqxja0ZGmlHc8CHO3Wn/6+Beo1x/leM8Zk1LtVEuL3eh7ssoWAAAgOdxlxAAAPA8P6+wsOkW\nAAB4HissAAAEhH/XVyhYAAAIDD9fEqJgAQAgIPxcsLCHBQAAeB4rLAAABAS3NZ9HRUWFHnroIU2a\nNEkbN27UPffco0suuSTSw8KDWtqbXM2XEGPYIKyXRWNe+xv2GcVNSHdu1nWkqc4o177Kw44xKSkD\njHIdrTdoCCdJsQaLwjGG35BT451jOswax8WmJBjFjRg6yDGmf3+zJnSpaclGcQmxzt/mL8kYZpQr\nN+Nyx5iJ6ZOMciE6/HxZJaIFi23bKiws1KOPPqqCggJdc801mjFjhvbu3asYw26OAADAHX5eYYlo\nsVVcXKzS0lLl5eVJkiZOnKi4uDi98cYbkRwWAAD0MREtWDZs2KDs7GzFnrYkmZOTo7Vr10ZyWAAA\n0I2QZYX1iKaIXhKqqqpSSkpKl+dSU1NVXl4eyWEBAEA3ol10hCOiBUtsbKzi4uK6PNfR0RHJIQEA\nwDn4eQ9LRAuWESNGaP369V2eq6ur05gxY7qNLyoq6vxzXl5e594XAAD8rqSkRCUlJdGehm9FtGDJ\nz8/XI4880uW53bt36+abb+42/vSCBQCAvuTMX8QXLVrU63MI+fjThCK66XbatGkaPXq01q1bJ0na\ntWuXmpqaNHPmzEgOCwAAumFZVliPaIroCotlWXrzzTf14IMPqrS0VFu2bNHq1auVmJgYyWHhIjeb\nvVU3V7qWS5IyEoe7lsurTehMjU0Z51qu6uYjRnEtY9scYz6srDLK1b+/WeO16sNHHWOON7UY5Woz\n2E+X2M+guZykY03NRnEJ/eIcY9pOOh9XSYqPNetllTPQuVldwajpRrngf2y6PY/s7GwtX75ckjR/\n/vxIDwcAAM7B8uAloY8++kiTJ092jPNzl14AAOBjmzdv1tVXX20Uy4cfAgAQENHeh3KmqVOnKiMj\nwyiWggUAgIBgDwsAAPA8y8c7Qfw7cwAA4CktLS1qaGiISG4KFgAAAiJSH35o27aWL1+unJwcbd26\ntctrFRUVmj9/vpYsWaK5c+dq586dFzb3C/pbAADAdyLVOK6mpkYFBQUqLy/vEmfbtgoLC3XDDTfo\n9ttv14IFCzRz5ky1t7dLkrZv366amhq9++67jnNnD0sf9MeaTUZxZcfKXBszKynLtfGmDM41iis9\nusMxZmL6JKNcpg3yTBrMuZkrK2msUS5TJnPLzbjctfGS482aRO4+ctgorsmgKVx29gizXC2tjjGj\nB6Ub5So7WmcUl5vpPLdx6ZlGuUz1j3X+N2hoNVvCzxtxXbjT6eTm+wTmItWH5Vx3+hQXF6u0tLTz\nIwkmTpyouLg4vfHGG5o9e7Zyc3PV2NhoNAYrLAAAICI2bNig7Oxsxcb+eX0kJydHa9eu7XEuVlgA\nAAiInt7W/Mm2T/TJtk8ueLyqqiqlpKR0eS41NVXl5eU9zkXBAgBAQPS0cVz2FdnKviK78+t1S0t6\n9PdjY2MVF9f1M7Q6DD7HqztcEgIAICBCYf7XUyNGjFB9fX2X5+rq6pSZ2fO9WhQsAAAgIvLz83Xg\nwIEuz+3evbtzE25PULAAABAQkbqtWfrzpR7btjufmzZtmkaPHq1169ZJknbt2qWmpibNnDmzx3Nn\nDwsAAAERqQ8/rK6u1tKlS2VZllauXKnMzExNmDBBlmXpzTff1IMPPqjS0lJt2bJFq1evVmKiWcuD\n01GwAAAQEKEI9mFZuHChFi5ceNZr2dnZWr58uSRp/vz5FzwGBUs3otFEzKQJmmnjNZMmbpKUEp/i\nGPNexRajXJ81Ot+i1tx2wihXdfMRo7hDx6odY+pb6x1jemJsyjjXcrnZFC4aTbhunXi7Y8yzpUuM\ncg0dMNAobvygIY4xtc3HjHLFxcQ4xgxOTDXKlZXs/F4yNTp5pFGc6fvkOznfM8hVaZTL5Dyj0Zu3\nRWqFpTewhwUAAHgeKywAAARETxvHeQkFCwAAARGpzxLqDRQsAAAERMjy704Q/84cAAAEBissAAAE\nhJ/vEqJgAQAgINjDAgAAPI+7hPoY08ZHJk2UXv/kVaNc+44edIw51nrcKNeR5veM4uINGmdVN5k1\nJCurOeoYk54ywChXUny8UVybwUeUb69yPq6SdEnGMKO4vGnXOcaUHHrHKJdJ47iyY/tdy2VqyuBp\nRnEm579JczlJ+mPNJqM4E4MTMgzH3O4Yc7zN7Pwf3t/s/GlobXCMmTI41yiXm9w8f0zRYA49RcEC\nAEBAcEkIAAB4HpeEAACA51n0YQEAAIgcVlgAAAgI9rAAAADPYw8LAADwPDrdAgAAzwtxSSiYSo/u\ncIxpOtlslGtEknOzq1W7DhjluigtzSjuP7bvdIxJ7J9glKus4rBjTIJhQ7ikAWZjmhg2YrBR3La2\ncqO47xff6RhzVeaXjHKNTXFuCud2Qy+TZm/RaOhl2qzOpJFeRuJwo1yFY/63Y4zJ8ZKk6uZKoziT\nubl9/E3/HwCvo2ABACAguCQEAAA8z899WChYAAAICD/vYfFvqQUAAAKDFRYAAAKCPSwAAMDz6HQL\nAAA8z89yYSBTAAASZElEQVQrLOxhAQAAnheoFRaTplOSeeOp9ZUbHWP2Ha0wymXi8JF6o7h9B8zG\n/LTcudlbbGyMUa6W5hPOQbZRKg1IMmscFxfnfPoOSEo0ynWytc0obtKQoY4xR1rqjHKtr1rvGDMh\nrdool2njNTebkpnkMm1aZjovNxuvudlQze0Gf26KRiNAeBd3CfVQeblZV1EAAOAeywqF9YimXhl9\n7969CoVCnY+XXnqpN4YFAACnscL8L5p65ZLQ0qVLtX79eiUkJMiyLF122WW9MSwAAOgjIr7CUl9f\nr7Vr1+rQoUPKycnRlClTFBsbqK0zAAB4gmVZYT2iKeIFy/bt2xUXF6c5c+ZoxIgRevnllyM9JAAA\n6IafLwlFvGDJz8/Xxo0bVVFRodmzZ+uWW27RRx99FOlhAQDAGVhhMTBo0CA999xzmjZtmn7zm9/0\n1rAAAOB/hGSF9YimsDaTlJWVKTc395yvz5o1S8uWLev82rIsFRYWav/+7vuhFBUVdf45Ly9PeXl5\n4UwPAADPKCkpUUlJSbSn4VuWbduG7bzc8cgjjygxMVE/+tGPuk7EsnShU2m323Wyw6BxmaHSozuM\n4upbnRu5rfjvNUa59h6pdYypNWwc96cP9xnFKd6gKVyH4b9Js0HjtXbDXHFmC3+h5HjHmKT+Zo3j\nRmc5N4STpEGDUx1jrh2TY5RrXPoox5idNWb/lrdderNRnAnTxok0JAPCE87PvQsd7/VPwrvC8VcX\n3dSrcz5dxC8JLV26VJs3b5YkHTt2TO+8847mzp0b6WEBAMAZwrsgFN3GcRG/v3jTpk266667NG/e\nPGVkZOiFF15QWlpapIcFAABniPbG2XBEvGB59tln9eyzz0Z6GAAA0IfRwQ0AgICIdi+VcFCwAAAQ\nECEuCQEAAK/z8wpLdLf8AgAAGGCFBQCAgOAuIQAA4HnR7qUSjj5RsBw72aADDbsd4yamT3J13Pcq\ntjjGfFZv1p22prrOMaajo8MoV8rgFKO4hiqDuX3eZJRLKc5dZ1XfapYrOc4orMOkC69hp9uWZrNO\nyQPinf8/1366xyiXiZ985f+6lksy607b0m74bw7Ad/y8wuLfUgsAAARGn1hhAQAAzqL9icvhoGAB\nACAg/HxJiIIFAICA8HMfFgoWAAACws8rLGy6BQAAnscKCwAAAUEfFgAA4Hl8+GGUJcWlGDWFq26u\nNMq3vfpDo7h+sc4NznKHDTfK1dTi3FTts0/N5t9skEuS1GbQiK7doDmbJDW1OcecNGt8pxjD3wBa\n2h1DbNts/k2GjeNq6hodYy7NHGaUKy0hyTHG9Jw1lZU01tV8APzFz5tu/bs2BAAAAqNPrLAAAABn\nfr5LiIIFAICA8PMlIQoWAAACws8rLOxhAQAAnscKCwAAARHy8ToFBQsAAAHh50tCFCwAAAQEm277\nmG9kfd0obn3VeseYhhPHjXKFQs4nUXyc2T9XclKiUVytSYM5w75xRhINT7dW54ZwkqQRAxxDTBvH\npacnG8WZNIW7KvNLRrnclJFo1qDQREJMf9dyAYBbKFgAAAgILgkBAADP45IQAADwPAoWAADgfT6+\nJOTfG7IBAEBgsMICAEBAcEkIAAB4HncJAQAAz2OFJcpirBjFGDS7qmmpNso3ZfA0o7jh/fc5xrzX\n/KFRrqSEfo4xKanOjdIkqan5hFHcgGTnBnPH280ar8X2j3eMaWsyaFQnyUqIMYqzDeY2ZFCaUa6U\n1CSjuCPNzc4xLXVGuQYlOM8tK2msUa6W9ibX4mgcB8CL+kTBAgAAnLHCAgAAPI89LAAAwPP8vMJC\nHxYAAOB5rLAAABAQfl5hoWABACAg2MMCAAA8z88rLOxhAQAAntcnVlja7Xad7HBulmbaEK7s2H6j\nuNT4VMeYr2VdbpSr7sRm56AhA41yJRg0oZOk2iP1jjHNqclGuRqOOTck62fYnC0txaxBXsuJk44x\nGUPSjXKNSEsxiusfF+cYkxhrdvxzM8zODRM0ewNggktCAADA87gk9D+qqqrcTAcAAFxkhflfNLmy\nwlJdXa1FixbpD3/4g/bv73o55Y033tCmTZs0cOBAlZWVafHixYozWFYHAADu8vMlIVdWWJqbmzVm\nzBi1tnb9cLtt27bp7rvv1sMPP6x77rlH/fv314MPPujGkAAAIEBcKVhGjRqlwYMHn/X84sWLlZeX\np1Doi2Guv/56LVmy5KzCBgAARJ6fLwlF9Lbm999/XxMmTOj8+uKLL9aRI0e0Y8eOSA4LAAC6QcFy\nDlVVVUpN/fOtv2lpaZKk8vLySA4LAAC6YVlWWI9oimjBEhsb22WDbUdHhyTJtu1IDgsAAPqY894l\nVFZWptzc3HO+PmvWLC1btuycrw8fPlz19X9uTlZXVydJyszM7Da+qKio8895eXnKy8s73/Q6xVgx\ninGxcVZW0lijuIzE4Y4xE9MnGeUaEOs8/+Ntzs3ZJOn3+wya0EkanObcFK68qsYo16UTxzjGtP1P\nweqkxqChnSRlZg1xjBmebNb47m8mzTKKq2xyvnX/r8fNNcoFIFhKSkpUUlIS5Vn49y6h8xYsWVlZ\nqq6uvuDk+fn52rt3b+fXu3btUmpqqqZMmdJt/OkFCwAAfcmZv4gvWrSo1+cQ7cs64XDtklBHN789\n33rrrXr77bc7X3vrrbc0Z84c+rAAABAFft5060rjuO3bt2vlypU6fPiwVqxYoVmzZik5OVlXXnml\nfvrTn+rHP/6xRo4cqfr6ei1evNiNIQEAQIC4UrDk5uaquLi429e++93v6rvf/a4bwwAAgDBEe5Uk\nHHz4IQAAAeHnPSwULAAABISfV1gi2ocFAADADaywAAAQEH5eYaFgCUOCq83qshxj/qOsxCjXo9N/\nbBS3vHSlY8xf5XzFKNd/lf3JMeaSjJFGuZRtFjYoIc0x5khLnVGu1PhU5yBJY1PGOca0tJs1+DPh\n5jkGAOxhAQAAnscKCwAA8Dw/r7Cw6RYAAHgeKywAAAQEl4QAAIAPULAAAACP82+5wh4WAADgA6yw\nAAAQEH6+S4iCJcJMm4hNGTzNtTFrWqqN4salj3KMmZA23ijX2NSLHGMaWhuMcqXEpxjFmeTLzbjc\nKJepjMThjjE0ewPgXRQsAADA4/xbrrCHBQAA+AArLAAABIZ/11goWAAACAg/b7rlkhAAAPA8ChYA\nAOB5XBICACAg+CwhAADgeX4uWLgkBAAAPM+ybduO9iSkL3Yue2QqrjLtdGvSHdXNXD3JZ6L06A7H\nmInpk1wbz5SXu86aHH8vzx9AeHr7555lWappqQorx+CEYVH7Wc0KCwAA8DwKFgAA4HlsugUAICD8\nvOmWggUAgMDwb8HCJSEAAOB5rLAAABAQ/l1foWABACAw/PzhhxQsAAAEhn8LFhrHodeYNqqrbq40\nistKGhvOdLpwuykfADiJRuO4oydqwsqR3m9w1H5Ws8ICAEBA+Hd9hYIFAIAA8W/JQsECAEBA+HnT\nLX1YAACA51GwAAAAz+OSEAAAAcFnCQEAAB+gYAEAAB7n33KFxnEAAERFNBrHNbbWhZUjOT6NxnEA\nACCyvHRbc2trqx566CHl5ub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