Created
January 10, 2020 14:11
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Created on Cognitive Class Labs
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| { | |
| "cells": [ | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "## Understanding The importance of plot legends and various ways to Customize plot legends" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 5, | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "import matplotlib.pyplot as plt\n", | |
| "plt.style.use('classic')\n", | |
| "%matplotlib inline\n", | |
| "import numpy as np\n", | |
| "import pandas as pd\n" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 6, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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\n", | |
| "text/plain": [ | |
| "<Figure size 432x288 with 1 Axes>" | |
| ] | |
| }, | |
| "metadata": { | |
| "needs_background": "light" | |
| }, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "x = np.linspace(0,10,1000)\n", | |
| "fig,ax = plt.subplots() #in this case we are creating subplots\n", | |
| "ax.plot(x,np.sin(x),'-b',label = 'Sine')\n", | |
| "ax.plot(x,np.cos(x),'--r',label = 'Cosine')\n", | |
| "ax.axis('equal')\n", | |
| "leg = ax.legend()" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 14, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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\n", | |
| "text/plain": [ | |
| "<Figure size 432x288 with 1 Axes>" | |
| ] | |
| }, | |
| "execution_count": 14, | |
| "metadata": {}, | |
| "output_type": "execute_result" | |
| } | |
| ], | |
| "source": [ | |
| "ax.legend(loc = 'upper left')\n", | |
| "fig" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 19, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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\n", | |
| "text/plain": [ | |
| "<Figure size 432x288 with 1 Axes>" | |
| ] | |
| }, | |
| "execution_count": 19, | |
| "metadata": {}, | |
| "output_type": "execute_result" | |
| } | |
| ], | |
| "source": [ | |
| "ax.legend(frameon = False,loc = 'lower center')\n", | |
| "fig" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 20, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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\n", | |
| "text/plain": [ | |
| "<Figure size 432x288 with 1 Axes>" | |
| ] | |
| }, | |
| "execution_count": 20, | |
| "metadata": {}, | |
| "output_type": "execute_result" | |
| } | |
| ], | |
| "source": [ | |
| "ax.legend(frameon = False,loc = 'lower center',ncol=2)\n", | |
| "fig" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 22, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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\n", | |
| "text/plain": [ | |
| "<Figure size 432x288 with 1 Axes>" | |
| ] | |
| }, | |
| "execution_count": 22, | |
| "metadata": {}, | |
| "output_type": "execute_result" | |
| } | |
| ], | |
| "source": [ | |
| "ax.legend(fancybox = True,framealpha = 1,shadow = True,borderpad = 1)\n", | |
| "fig" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 46, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "text/plain": [ | |
| "<matplotlib.legend.Legend at 0x7fefc440c240>" | |
| ] | |
| }, | |
| "execution_count": 46, | |
| "metadata": {}, | |
| "output_type": "execute_result" | |
| }, | |
| { | |
| "data": { | |
| "image/png": 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\n", | |
| "text/plain": [ | |
| "<Figure size 432x288 with 1 Axes>" | |
| ] | |
| }, | |
| "metadata": { | |
| "needs_background": "light" | |
| }, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "y = np.sin(x[:,np.newaxis]) + np.pi * np.arange(0,2,0.5)\n", | |
| "lines = plt.plot(x,y)\n", | |
| "plt.legend(lines[:2],['first','second'])" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 54, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "text/plain": [ | |
| "<matplotlib.legend.Legend at 0x7fefc4302b38>" | |
| ] | |
| }, | |
| "execution_count": 54, | |
| "metadata": {}, | |
| "output_type": "execute_result" | |
| }, | |
| { | |
| "data": { | |
| "image/png": 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\n", | |
| "text/plain": [ | |
| "<Figure size 432x288 with 1 Axes>" | |
| ] | |
| }, | |
| "metadata": { | |
| "needs_background": "light" | |
| }, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "x = np.linspace(0,10,1000)\n", | |
| "y = np.sin(x[:,np.newaxis]) + np.pi * np.arange(0,2,0.5)\n", | |
| "line = plt.plot(x,y)\n", | |
| "plt.legend(line,['First Column','Second Column','Third Column','Fourth Column'])" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 51, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "text/plain": [ | |
| "[<matplotlib.lines.Line2D at 0x7fefc43e4a20>,\n", | |
| " <matplotlib.lines.Line2D at 0x7fefc43e4b70>,\n", | |
| " <matplotlib.lines.Line2D at 0x7fefc43e4cc0>,\n", | |
| " <matplotlib.lines.Line2D at 0x7fefc43e4e10>]" | |
| ] | |
| }, | |
| "execution_count": 51, | |
| "metadata": {}, | |
| "output_type": "execute_result" | |
| } | |
| ], | |
| "source": [ | |
| "lines" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 94, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "name": "stderr", | |
| "output_type": "stream", | |
| "text": [ | |
| "/home/jupyterlab/conda/envs/python/lib/python3.6/site-packages/sklearn/utils/deprecation.py:58: DeprecationWarning: Class Imputer is deprecated; Imputer was deprecated in version 0.20 and will be removed in 0.22. Import impute.SimpleImputer from sklearn instead.\n", | |
| " warnings.warn(msg, category=DeprecationWarning)\n" | |
| ] | |
| }, | |
| { | |
| "data": { | |
| "text/plain": [ | |
| "Text(0.5, 1.0, 'California Cities:Area Population')" | |
| ] | |
| }, | |
| "execution_count": 94, | |
| "metadata": {}, | |
| "output_type": "execute_result" | |
| }, | |
| { | |
| "data": { | |
| "image/png": 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\n", | |
| "text/plain": [ | |
| "<Figure size 432x288 with 2 Axes>" | |
| ] | |
| }, | |
| "metadata": { | |
| "needs_background": "light" | |
| }, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "import pandas as pd\n", | |
| "cities = pd.read_csv('https://raw.githubusercontent.com/awantik/data-science/master/data-science-ml-foundation/california_cities.csv')\n", | |
| "from sklearn.preprocessing import Imputer\n", | |
| "imputer = Imputer(missing_values = 'NaN', strategy = 'mean', axis = 0)\n", | |
| "imputer = imputer.fit(cities.iloc[:,4:14])\n", | |
| "cities.iloc[:,4:14] = imputer.transform(cities.iloc[:,4:14])\n", | |
| "lat,lon = cities['latd'],cities['longd'] #we are selecting latitude and longitude\n", | |
| "population,area = cities['population_total'],cities['area_total_km2'] #we are seleccting population and area of each city('area is in km^2')\n", | |
| "#scatter the points using points color but no label\n", | |
| "plt.scatter(lon,lat,label = None,c = np.log10(population),cmap='viridis',s=area,linewidth=0,alpha=0.5)\n", | |
| "plt.axis(aspect = 'equal')\n", | |
| "plt.xlabel('longitude')\n", | |
| "plt.ylabel('latitude')\n", | |
| "plt.colorbar(label = 'log$_{10}$(population)')\n", | |
| "plt.clim(3,7)\n", | |
| "#here we create legend\n", | |
| "#we'll plot empty lists with the desired size and label\n", | |
| "for area in [100,300,500]:\n", | |
| " plt.scatter([],[],c='k',alpha = 0.3,s=area,label=str(area) + 'km$^2$')\n", | |
| "plt.legend(scatterpoints = 1,frameon = False,labelspacing = 1,title = 'City Area')\n", | |
| "plt.title('California Cities:Area Population')" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "# Multiple Legends\n" | |
| ] | |
| }, | |
| { | |
| "cell_type": "raw", | |
| "metadata": {}, | |
| "source": [ | |
| "plt.legend([list-of-titles])\n", | |
| "The argument is list of legends \n", | |
| "Pass a list with single element to have single legend" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 112, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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\n", | |
| "text/plain": [ | |
| "<Figure size 432x288 with 1 Axes>" | |
| ] | |
| }, | |
| "metadata": { | |
| "needs_background": "light" | |
| }, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "x = np.linspace(0,100,50)\n", | |
| "y = np.random.normal(size = 50)\n", | |
| "plt.plot(x,y)\n", | |
| "plt.legend(['line plot 1'])\n", | |
| "plt.show()" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "## Add legend to multiple plots in the same axis" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 116, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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\n", | |
| "text/plain": [ | |
| "<Figure size 432x288 with 1 Axes>" | |
| ] | |
| }, | |
| "metadata": { | |
| "needs_background": "light" | |
| }, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "x = np.linspace(0.0,100,20)\n", | |
| "y1 = np.random.normal(scale=0.2,size=20)\n", | |
| "y2 = np.random.normal(scale=0.5,size=20)\n", | |
| "y3 = np.random.normal(scale=0.8,size=20)\n", | |
| "plt.plot(x,y1,label = 'plot1')\n", | |
| "plt.plot(x,y2,label = 'plot2')\n", | |
| "plt.plot(x,y3,label = 'plot3')\n", | |
| "# calling legend with no parameters\n", | |
| "plt.legend()\n", | |
| "plt.show()" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 118, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "text/plain": [ | |
| "[<matplotlib.lines.Line2D at 0x7fefc0fb0fd0>]" | |
| ] | |
| }, | |
| "execution_count": 118, | |
| "metadata": {}, | |
| "output_type": "execute_result" | |
| }, | |
| { | |
| "data": { | |
| "image/png": 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\n", | |
| "text/plain": [ | |
| "<Figure size 432x288 with 4 Axes>" | |
| ] | |
| }, | |
| "metadata": { | |
| "needs_background": "light" | |
| }, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "fig,ax = plt.subplots(2,2)\n", | |
| "x = np.linspace(0.0,100,20)\n", | |
| "y1 = np.random.normal(scale=0.2,size=20)\n", | |
| "y2 = np.random.normal(scale=0.5,size=20)\n", | |
| "y3 = np.random.normal(scale=0.8,size=20)\n", | |
| "ax[0][0].scatter(x,y1)\n", | |
| "ax[0][1].bar(x,y1)\n", | |
| "ax[1][0].scatter(x,y2)\n", | |
| "ax[1][1].plot(x,y3)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 127, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "text/plain": [ | |
| "<matplotlib.legend.Legend at 0x7fefc0629908>" | |
| ] | |
| }, | |
| "execution_count": 127, | |
| "metadata": {}, | |
| "output_type": "execute_result" | |
| }, | |
| { | |
| "data": { | |
| "image/png": 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\n", | |
| "text/plain": [ | |
| "<Figure size 432x288 with 4 Axes>" | |
| ] | |
| }, | |
| "metadata": { | |
| "needs_background": "light" | |
| }, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "fig,ax = plt.subplots(2,2)\n", | |
| "x = np.linspace(0.0,100,20)\n", | |
| "y1 = np.random.normal(scale=0.2,size=20)\n", | |
| "y2 = np.random.normal(scale=0.5,size=20)\n", | |
| "y3 = np.random.normal(scale=0.8,size=20)\n", | |
| "ax[0][0].scatter(x,y1)\n", | |
| "ax[0][1].bar(x,y1)\n", | |
| "ax[1][0].scatter(x,y1)\n", | |
| "ax[1][1].plot(x,y1)\n", | |
| "\n", | |
| "ax[0][0].legend(['dotsy'])\n", | |
| "ax[0][1].legend(['liney'])\n", | |
| "ax[1][0].legend(['dotam'])\n", | |
| "ax[1][1].legend(['lina'])" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "# Legend Location" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 137, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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\n", | |
| "text/plain": [ | |
| "<Figure size 432x288 with 1 Axes>" | |
| ] | |
| }, | |
| "metadata": { | |
| "needs_background": "light" | |
| }, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "x = np.linspace(0.0,100,50)\n", | |
| "y = np.random.uniform(low=0,high=10,size=50)\n", | |
| "plt.plot(x,y)\n", | |
| "plt.legend(['line'],loc = 'best')\n", | |
| "plt.show()" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "# Disabling legend" | |
| ] | |
| }, | |
| { | |
| "cell_type": "raw", | |
| "metadata": {}, | |
| "source": [ | |
| "ax.legend_.remove()" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 147, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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\n", | |
| "text/plain": [ | |
| "<Figure size 432x288 with 1 Axes>" | |
| ] | |
| }, | |
| "metadata": { | |
| "needs_background": "light" | |
| }, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "x = np.linspace(0.0,100,50)\n", | |
| "y = x*2\n", | |
| "\n", | |
| "df = pd.DataFrame({\n", | |
| " 'x':x,\n", | |
| " 'y':y\n", | |
| "})\n", | |
| "df.plot(kind = 'line')\n", | |
| "plt.gca().legend_.remove() #this gets current axis and removes the legend" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "# Change number of columns in a legend" | |
| ] | |
| }, | |
| { | |
| "cell_type": "raw", | |
| "metadata": {}, | |
| "source": [ | |
| "change the value of ncol" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "# Legend outside the plot axis" | |
| ] | |
| }, | |
| { | |
| "cell_type": "raw", | |
| "metadata": {}, | |
| "source": [ | |
| "we can use argument bbox_to_anchor to reposition the legend outside the box" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 156, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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\n", | |
| "text/plain": [ | |
| "<Figure size 432x288 with 1 Axes>" | |
| ] | |
| }, | |
| "metadata": { | |
| "needs_background": "light" | |
| }, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "x = np.linspace(0.0,100,50)\n", | |
| "y2 = x*2\n", | |
| "y3 = x*3\n", | |
| "y4 = x*4\n", | |
| "y5 = x*5\n", | |
| "#plot five lines in the axis\n", | |
| "plt.plot(x,y2,label='y=2x')\n", | |
| "plt.plot(x,y3,label='y=3x')\n", | |
| "plt.plot(x,y4,label='y=4x')\n", | |
| "plt.plot(x,y5,label='y=5x')\n", | |
| "plt.gca().legend(loc='center left',bbox_to_anchor=(1,0.5))\n", | |
| "plt.show()" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "# Multiple Legends" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": null, | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "fig,ax = plt.subplots()\n", | |
| "lines = []\n", | |
| "styles = ['-','--','-.',':']\n", | |
| "x = np.linspace(0,10,1000)\n", | |
| "for i in range(4):\n", | |
| " lines +=ax.plot(x,np.sin(x - i * np.pi / 2),styles[i],color='red')\n", | |
| "ax.axis('equal')\n", | |
| "#specify the lines and lables of first legend\n", | |
| "ax.legend(lines[:2],['Line A','Line B'],loc='upper right',frameon=False)\n", | |
| "#Create the second legend and add the artist manually\n", | |
| "from matplotlib.legend import Legend\n", | |
| "leg = Legend(ax,lines[2:],['Line C','Line D'],loc='lower right',frameon=False)\n", | |
| "ax.add_artist(leg)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 177, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "text/plain": [ | |
| "<matplotlib.legend.Legend at 0x7fefbdf712e8>" | |
| ] | |
| }, | |
| "execution_count": 177, | |
| "metadata": {}, | |
| "output_type": "execute_result" | |
| }, | |
| { | |
| "data": { | |
| "image/png": 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gjTd4gc3kyTxdcvp0nsoWrCleRvK2qCgUnT8PdO7MU3Xj4oCkJO/z50NF0YVRKSnA8OG8TiAmhp9nqCHiqZejRgEDBgATJwKXXmp2q/xn2nRHX24wqMfukZ9P9MgjRJdeSrRsmaG7CppZs4guuYR78MeOmd0afXz2Gc+k+Plns1uiD08v9tAhot27zW2LXpYvJ6penc8agznTxShJSUT9+hG1a2f9IVlvEECP3Ra5Yg4fBm69lZde793LvfVQRsQrEEeNAiZM4N7S3XcDu3aZ3TLtqlcH3n4bePpp4PnneTVoqFq3rnDVZ8uW3tMyhJL8fODll4EnnuBe+rffBrZAz0r27uXvzkMPAc89xytYv/ySv2O25u+RINAbDOqx//QTz3j5+OPiF4LOnyd64QVjFs0YLTubexie+dtuNy9watBAv/n8ZktL44vFnToRJSaa3ZrAREYSbd1a/G8ZGUQffBAaF06LSkoi6tKF6L77il/bIeLZML/+ak67tPjuO/7OfPVVYWzYu5cv1A8aZM2ZSt6gIl08dbn4i9W0KdHGjRf/f04O0YwZuu7SdH/8wcMYo0eHzgGrrJkkbjfRe+/xbItQ+ZKVNyMkJYWoe3eiu+/mqayhYN06nmgwfrz357dkCdEvvwS/XYEqKCB6+WUewvz994v/Pzubh5nat+epqFZXYQJ7ejrRvffydKWTJ317jFHpAoItLY2Dxh13WPuqfkEBrxj+73/Lv6+v76HZXC5eZVl0ib43+flEzz1n/RlZbjfRp59yKoAlS3x7TMnFglb06qtEPXsWrtz0xrMC+MoriVasCF7bAlEhAvuhQ7yMeORI3y/s5Oby0dmqCxD8nRfsdPIc3fDwwFdDGikzk1cl9upVfKWjHZw4YXYL9JGfzyktbrjBv6mZsbG8ctvK0tN9nz67ejXnb/r4Y0ObpIntA/vGjfwmTJni/2OtOE/a5eJVp6++GtjjZ83i6wvLl+vbLq2cTqIvvrDmax6IlSutme4gUOnpfNC9++7CZeu+cjrtd7BOSCBq25ZTjljl2kh+PqflcLsDC+whMytm7lxOp/r11zyjwl+e+blEwIcfFi+WYYacHJ5bu2kT8O9/B7aNQYN4nu7QocBXX+nbPi0qV+a1BN5SkPpqxQqeQ202p5M/c2fOaNsOEfDdd4DbrU+7AnXsGKfHbtmS0+DWru3f4ytXBi67jH8+dYo/v6Huqqs4JfXu3UC/fpxH3UwZGZw6fN68wGeNWT6wE3G+6hdf5ET3WgsIuN18M3OBTEoK8I9/ANWq8XPSUm2pW7fCnN6vvWZ+4NDL4cOcx3vLFnPbUaUKMHNm6cVIfJWdzdMjzZzeuW0bv6aPP86FPLQceAHOv75+vT5tCwQRFxYpWmgkUHXrcj2GevV4SuSpU9q3GahPPy088FavHuBG/O3iB3pDAEMxLhfPALnxRv3zl3sE+xT7+HFOnTp2rL77Tkkh6tqV6NFHg39xa8YMTturt4ULebpasHPnFBQQDR9+8bS/ULZqFQ/bWf2Crq+cTr5G8Le/6XvtzO0meustohYtfEskZgSXq3hsgJ3G2AsKiIYO5VkIRk0bKyjg7QdzVsb58xfnttFLVhaPm953X3CzJG7dSrRvnzHbXr+eZ20EO+3t4sX2uUawYAEH9dWrjdvHihVE775r3PaLys0levBBoh49/L9G4KupU3kKqJn52T0CCeyWzBWTmws8/DCfYs2bB9SoYVy7jhwBrr7auO0HW34+F9JNTuZTuTp1zG6Rdn/8ATz4II+DGlmAOi+Ph8eCZft2HgJo0cK4fXz7LTBmDJfe69TJuP2cOQMcP87lJI2Umcnj4LVrc2FvI9+v77/n1arz5/PKdqOkppZdOjCQXDGWG2PPyOAlwDVqcNFhI4M6UDyonzxp7L6C4ZJLuH7r9dcD3btrv+hnBe3acUFtI4O6283XKxITjdtHSb//zvUz4+ON2f6HHwJRUcDq1cYGdYDfG09Qd7n4orMRoqK4/uh33xl/EB4wAJg2DXjgAU4uaITcXL7elp6u84b97eIHeoMPQzEpKbzE/Omngz/tKDOTC0P4W1GmPGZNk3O7uULTddfpm0AsP59rxer9OlmBGStFp03jqXZ6Dvu43XwNp1Urc9I1TJrE6bSNkJMT/O/Uxo08HGjUEGp518QQykMxp0/zkatvX2D8eED5l6RSF3qnk50zh6urmzkV8cMPOfXvqlXaK9UXFPAUy+xsPj0NxRSoJR05wtPdzJwldf68/9MOS0PEibxWrwaWLzf2LKc0eXn8WalVK/j7NsquXUDv3kB0NDBsWHD3HbJpe5OTOSH+W2/5cnwzntOpfZbHjBlEjRubX4iZiIv+hodrL/6wcCGnctCzWLUWW7Zor+bzyCPecw2FIrebZ5F16mROQXNvTpww7gJnsMXHc26qr77Sth1/RyMQirNiTpzg4YIJE/x7skZKSeGpVIGeHsfG8hV1K+V+njqVKCxM++wVq5RFc7t5VsRjj2kbtrPiitJA2uR2c5qNzp2tlXwsMpKrMAXi+PHSS9uZ5cABombNAlv9TsRZWvv39+8xIRfYjx8nuuYaookT/XuiVvbNN3xUj483uyUX++Yb6x1wtMjMJPrHP4gGD/bvILx1Ky8jt6p+/TiTp69cLqIRIzjtrtWW+wd64DxyhOv/Lliga3N0cfgwt83f/DIxMYF1rkIqsCcmEl19NdH77/v3JIMtIYGzwPnC5eK590bN6dbD9Omcb8eX5GGhMI87O5sTjg0Y4PvCrC++sHaVrQMHfD8zcrn47PKWW7jWr5UtW+bbENGhQzx0OHmy8W0KVEICx6/33vP9Md98E1jh7JAJ7EeP8souK2dU8zh1imcu2MmcOZyu1Fuu6qKefjo0Virm5PDY/9ChZrckuFwuoiee4PTVoTCOHRVVfvlAz1DHF18Ep01aeFaRGz2MbFpgB9AbwH4AhwC8Wsp9iKjwNMbKR+OK4IcfeArXli2l3yc1NTR67UScwrms4Yu1a4O/etVITifRsGGcl98uU0+PHuWhCq0XJ4MpKYknfkRFGbcPUwI7gMoADgO4GsAlAHYCaOvlfnTwIJ9iff65cS+CkX76iSg62uxW6GfhQl5qvmmT2S0x3q5dnH43FM2dyzcPp5MrAHXvXlhMO5S4XESvv35xLp6cnODnBdLDqVNE11/P60aKXlNYt06fi/NmBfauAJYX+f01AK95uR+FhRF9+aX2J2qW1FSumegxb571rtr7a/FiDu4bNpjdElGa7dv5usicOXwGNWgQVwgKlXKCJXlq+AYzn5HRTp/mZIWvvcbPLyeH6IEH9JmhFEhg17xASSn1IIDeRDT8wu+PAriZiJ4tcT/6+mvCE09o2p1lvPsuVztftw5o0sTs1mizbBkwZAjQvj0we7b2FLVWsWUL50r5/HOzW6LdH38AL7zAKZ4zMjjdRsApXYUhUlOBnj2BXr04Pui1yDKQBUoaMzLzfr38zevRYteuKERF8c8RERGIiIjQYffB9+67nP/8lVdCP6gDQJcuvEJx40bOyWKXwJ6VxYm2srKAmjXNbo02bdpwwrCsLGDhQnus+gWAc+eAgQN5JXOoH6gaNOAV3nfeyat/338/sODucDjgcDi0NcbfLn7JG/wYirn6anNyV+hp/HheUBUfH/rDMB7r1nFV97g4zn8eqmPRHp5auE4n0eOPE3XrFhqzRkqTl0fUt6+1Vv1qtW0bDym53byuINS53YXFs9PSOE/8qFGhPcZeBcARAC1QePH0ei/3o+nTQ7t4waxZfAU8Obn430+etM6KTK0cDg7uVq/cXppjx/hL5Xk/XC4umnHrrdaf5+1Nbi7n1+/T5+KgHqpj7L/9xjOy5s27+P9C8cDldvPF4LvuKvzbn3/yKuBnntEeG0wJ7Lxf3APgAHh2zNhS7qPt2VlATg6nGyhp0CAOiHaxdi1fUA3FGQpEhT0nDyuvzCxLTg7RPffwRTjPWYiH283z1624wrksmzdzUP/xx4v/Lz6en5MV0zyUJTKSL5yWjA3p6VzV7F//0hbcAwnslsnuGMr0zgpptNRULkhctWrp99m4kTNt/u9/2uvMBkNiImdpLA0R8OqrnJ2yQ4fgtStQubmcB7xWLS4o4e290jMrZDBs2sQF6b/5hos1e5OWpq0GsBk2bgSuu857sYzz5/n707o1MHUqUCmAChiBXDw1NbAfOMBfuFatgtKEoFizhqvAWznQP/88V4R56KGy77d5M3DffcDXX/O/VpWdDUREcIrkUAp0pcnJAfr0AerXB6ZP11502iqeeooPVr50FAoKuOh706bGt8tomZnAP//JRX1iYvyPDSEX2GfN4so1Q4YEpQl+IeIyc/5UaXG7uSxddDQQFmZY0zTz5wxj61buXX3xBX8prcrtDqw3ZDXZ2XwQbdyYz5bsEtT9tWwZsGAB93LtICuL39ewMJ6C609wD7nAblVEwEsvca/h00/Nbo35fv+de1mffca1R61i6VKgRw8uB2gHWVl8EA0P5+EKf3t2H3zA0+tefNGY9gWbFQ/WLhevi3jqKf9L82Vn85lYw4ZAbKzvB21b1Dw1m9sNjBrFC4/GjQt8O/n5/EUrKNCvbYHSWn+yUyeuxvPss1xr0gqIgEWLuPKWFvPmad+GHjxjsS1aBBbUAa7ROWUK8N57+rfPDJ6gfugQsH+/uW3xcLuBP/8M7DtVowYXmE9NBR55xNjYYKnATsSVzs3idAJPPsmLWn75BahXL/BtEfEbZ/ZJysGDwI03AqdOadtOhw7AihU8Pj9rlj5t00IpDmLNmmnbzp49XPRb6+ujxdmzfObRunVgY7AezZrxNZ5jx7hnaabVq/lgpYetW/nCqxVUrQq88UbgC96qV+cFZufP84V8w4K7v9NoAr3Bh+mOO3fyVKj16/2ZDKSP3FyubNKrV2gmVvLmjz+4sEZMjH7b3LWLS/6Zlcr4gw+I9u/Xd5vjxnHh56Qkfbfri+RkohtuIPrPf0Jvml9pZs7ktND+FAupaHJzecGZt6msJSFU8rGXZflynkNdXq5wveXnE737rjELJJKS+KChpYRbIA4e9L4IRKu9e7lKVKDlwbSYN4+z6ektOpqoZUtOKx0sR47wPqOj7RPUp0zhz4ZRtX5jY4nWrDFm296cO2dcRzMvjwN7r15lp162RWAn4g+Fr9VwQoHLZZ+CyR6HD3NQiooyPigFK+hNmULUrl1wVhHv3cu5x4NRl+D338vvFerhnXe4gI7WoullWb1a/zO20qSkEN10E9GLLxq3j4ICoief5FWqpa3Kt01gt7tQzltS1KlTRB068LJpI89Gnn6aaMkS47ZfVDBWpv72G6fhDdZw1lNPcepfI333HVGbNlycPliMPgD37s2pAoLRcXnlFU5X4i2XViCBXaY7Btn+/XyBdt06/dJ6esyYAdx1F2dqDJZz53iFasOGwLRp/k8B88Xx40CjRmWvlA0VS5cCw4YBX33FU9/soqCALwgGc9XoM8/w9FCjVkanp3NGzWD54ANg0iSew9+mTeHfbTvdcf16Xg6ul40bgX79zJmx0qoVzy7RO6gDPI0qM1P/7Zblsss4WDmd/CXLyNBnu8eO8QpMgGd72CGox8QATzzBsyLsFNQBfn+CnQrg9dc5/7lRghnUAV478/bbPEvr1181bszfLn6gN2gYisnI4DSfepg/n7MXBuvUviw5OUQLFpjdCn04nTwkc/31XLtSq9GjubqTFaxape203+3msmktWwZWpV5vOTn6fZ+sYv9+7bPZrJIt8+efOUZ9/z3/DhljL53bTfTRRzz977ffTG3KXxITOQ+6XWZEuN1EH3/M0yF//VX7tqygoIALRj/wQGCBIzeXaOhQvjh2+rTuzQvI1q3FA4e/du4kOntW3zZp9cor2jprW7YQ3X23fu3Ravt2vrg+cWIFC+z+fPHz87ngQrt2+vQmjeLPc9q927rV3Bct4sAxe7Z/j/vsMw4aVuMJzp06+TfXPTmZUwX372+9tRGewOFvkYu5c/m9jYszpl1mstqkhuPHiTp2DCywh8QYuzcDB/LSa19UrsyrLzdsAJo3N7RZAUtK4gufvqwYnDePsxlaNUfKvfcCcXHAf1uf3fwAABGBSURBVP4DvPmm76sgr7qKx+ytplo1TsjVrx+XEdyypfzHbN0KdO7MF/bmzrVeab4OHbiOaqdOvt3f7eb38qWXOL1Ejx7Gtk+LKVOAJUv8f5zVMoOGhfn2WfPK3yNBoDfo3GPfu5dXC44caZ3Tdi3cbqI9e8q/n8tF9Mgj1hlOKsvJkzyMcdddFxe/8EhJCa33b8ECnuJZ1jqL6dN5kZ23YhKh6Nw5ruB0663GLA7T244dRAkJZd8nlAqUoCINxRDxB27uXN03awnLltmj3F5BAdG//0101VU8jllSjx7GrVI0Smlz9rOzec74tdeG3nPy8DYU9s47XAUoGIuc9JaWVvzahstF9N57nPIgmHPutQgksNtuHvuff/KUP63JocyUk8NpQb/4givo2MH8+cCIEXw6P3Jk4XTPggJ7TGWMj+fsiu3a8ftmtdN6X5w5w1kHf/65+HtCZMz03GCYNYsL+kRF8e8ffQR8/z0we7Z1h2VLqvD52NeuBYYO5fSyL79s6K6CZuJE4KabgF69zG6JdgcP8rWR5GRem9Cypdkt0o6Ir/W88grwzjvA8OGhGwTtquiBKSuLr02FUmfCtguUypOdzelkBw3i2+HDZrdIPxER3MvYuNHslmh37bWcfrVnT6BrV+CHH8xukTYnThQWIHnmGc5Vn5Rkdqu0SU01uwX68wT1ffuA/v0rSFUqf8duAr3BoHns69YRXXcd0eDBfIHO7bbOQgO9ZGSE1gXGkg4cIPrhh+J/+/VXHot+8MHQGev0cLuJvv6ap/299RZfSC0oIBo/nv82eXLwM3lqlZJCNGgQX/MoKiGBL4BbcRpqedatKz7l1u0ObvZOvaAiTXf0OHCAT4FnzuTiv0pxpZKSgjTipMmKFd57fLVrF/Y65s/npdShxFN1pqguXYCdOzknRvv2wCefmF8cwhfbt3Ox8ilTeErnm2/yaX2VKsDYsYDDwT33rl2BbdvMbm35nE5g8mSgbVugSROu8FNUeDjXJO7Rg/PbhJJ69YrnTVKKC0oDHA+efho4etScthnO3yNBoDeYuPJ0zRrudQQ7x7uv9u3jVW/XXON95khR2dnF06JatSc/YwbPSPBFfDxRRAQXnFi82JrPKSWFs0xeeSUvDCtrxpLLRfTNN0SPPRa89gXi11+JbryRqHt3XvBWlqQknmJsJytWhEZ6cNh5umNeXuDT/woKiKZO5VSp336rqRmGWL2a6MMP/Z9O5nQSdetmzbnF77/vX15ut5vnfbdpQ3T77dbJX3/2LNFrrxFdfjnRqFG+H6xCQVwcp9vVciC1wkE4O5to0iRtaSxWreLaAlYU9MAO4CEAewC4AfytnPsG9KTS07kc2lVXEf3yS0Cb+Mu5c6Unsw9V+/YV/pyXZ17g2bqV6NNPtW+noIDHr8PDOcAvWmTOfP6EBM7jU78+z033lic7UHY5OMTHXzwmH2zLlnGHrU+f8s86ypKWVjwxmpkpIJ57rvhiRTMCexsArQA49AzsbjfR5s28qrRePb6os3mzvy+Pb1wuXikYrODx4IPGrXpbtYpowABjtu1N0dWkx4/zqa1e8vO5dmaHDrzCeOJE4y+y5udzIql+/biH/uKLXL5OT1lZHIj69uUzFKOHAk6dIvrkE6I//9R/22430bFj+m/XHwkJvNJUb3378vcpGDIzOa+Qx8aNxfPWmDYUo3dg/+knHm+OjOSAYaTUVKLnnzfmlNLbNvfsMfbLXHSfU6dymmI9t+3ZflYW0dVXG1MjtuQ+163j8mF16xLdeSefGeg1uyEri2jpUh4/b9CAk3Z99lnZNSi1ysjgAuO33cbF20eM0DepVkIC0Zdf8mtVty7Ro4+Wv8ReT1Om8Ayh3bv1+17l5vIMpGAN/RQUFM5scruJ/u//9O3FFxQU/vz559xxKU3IBPasLO61Ohzen4jTaf7Y3caN/GX/6iv/qq1v2cJjsR07Er39tnHt80V8fPFx7vffL55jpuiHy5vExOJTR//+dy6Q7RHsIZKsLE41+9hjfBHz2ms5aH3yCV+nSEgofZqh282n2zt3Es2axWkOuncnqlWLr1NER5szFe7gQV7i/uGH3v/f3+/C2LGcp2bQIH6tzJj6u2kTDyeEh3tPpVvW5yY7my/SluwwuN38OuXk6NtWXxQU8GfG8z6cP0/00kvF21bWe5STU3zIdM0a/1IEGxLYAcQB2O3l1of8DOxhYdyDuPRS/lL26WN+AC9NYiKP7Q8bxh+okmbP5uIJJa1ZQ/Tuu0QbNhjfm/XXypXFhzN69Ch+cB08uPisnIceKj7u6FknYAUuFwfpr77iPCa33krUtCnRJZdwz7t5c6K2bfnMr2lTopo1ierU4b/17889yiVLrJeqtaQPPuC2N27M35k2bfi5ldZpyMiwTo4ht9t7Wzp18l6DtXNnomrV+D0r2oGwmvR0Hib02LuXZ3R5HDhQPHDv28dDsB75+f6dtQcS2HVJKaCUcgB4mYh+K+M+9PzzkahaFaheHejePQIRERGa922W9HQgN5drcYYqz1vvmSN/7BjQoIH3dQChIi+P67BmZvKK5GrV+PNWpw7fQg0R1xLNzOR/nU5+PvXrWzPFsS/cbv63UolVNDk5wKWXhmZKBqezcEVrXh5w8mTguWgcDgccDsdfv7/11lsgM3LF+BrY9diXEEJUJEHPFaOUekApdQJAVwA/K6WWa9meEEII7WyV3VEIIeymwmZ3FEIIUUgCuxBC2IwEdiGEsBkJ7EIIYTMS2IUQwmYksAshhM1IYBdCCJuRwC6EEDYjgV0IIWxGArsQQtiMBHYhhLAZCexCCGEzEtiFEMJmJLALIYTNSGAXQgibkcAuhBA2I4FdCCFsRgK7EELYjAR2IYSwGQnsQghhMxLYhRDCZiSwCyGEzUhgF0IIm5HALoQQNiOBXQghbEZTYFdKvaeU2qeU+kMptUApVVevhgkhhAiM1h77LwBuIKJ2AA4AeE17k4QQQmihKbAT0Qoicl74dROAMO1NEkIIoYWeY+xPAFiq4/aEEEIEoEp5d1BKxQFo5OW/xhLRwgv3GQvACWBmWduKior66+eIiAhERET40VQhhLA/h8MBh8OhaRuKiLRtQKlhAEYA6EFE2WXcj7TuSwghKhqlFIhI+fOYcnvs5eywN4BXANxRVlAXQggRPFrH2CcDqA3gF6XUDqXUFzq0yTKaN2+OuLg4AEB0dDSGDx9ucouEEKJ8mnrsRHSNXg2xujFjxhi27YyMDLz55puYP38+0tLS0KhRI9x77714/fXX0aBBA8P2K4SwJ1l5arL8/Hz06NEDe/bswbJly5CRkYGNGzeifv362LJli9nNE0KEIAnsPoqKisKQIUMAAAkJCVBKITY2FuHh4WjQoAEmTJjw133dbjcmTpyIli1bon79+hgwYADS0tK8bnfatGk4duwYFixYgLZt26JSpUpo2LAh3njjDdxzzz1BeW5CCHuRwK7B+vXrsX//fqxcuRLjxo1DfHw8AGDSpEn48ccfsWbNGiQnJ6NevXoYOXKk123ExcWhd+/eqFWrVjCbLoSwMesHdqX0uRkgMjIS1atXR/v27dG+fXvs3LkTADB16lRMmDABYWFhqFatGqKiojBv3jw4nc6LtnH27Fk0btzYkPYJISomTRdPg8LCc98bNSpct1WjRg1kZmYCABITE/HAAw+gUqXC42blypVx+vRpNG3atNg26tevj5MnTwanwUKICsH6PfYQ1KxZMyxduhTp6el/3XJzcy8K6gDQs2dPLF++HFlZWSa0VAhhRxLYDTBixAiMHTsWiYmJAIAzZ85g4cKFXu/76KOPolmzZujfvz/27dsHt9uNs2fPIjo6GkuWLAlms4UQNiGB3QCjR4/G/fffj169eqF27dro0qULNm/e7PW+1apVQ1xcHFq3bo0777wTderUQefOnZGamoqbb745yC0XQtiB5lwxPu9IcsUIIYTfAskVIz12IYSwGQnsQghhMxLYhRDCZiSwCyGEzUhgF0IIm5HALoQQNiOBXQghbEYCuxBC2IwE9jJIaTwhRCiSwO6jMWPGICYmRvftOhwOVKpUCbVq1UKtWrUQFhaGAQMGYOvWrbrvSwhRMUhgt4AmTZogMzMT58+fx6ZNm9C6dWt069YNK1euNLtpQogQJIHdR0aVxitKKYWwsDCMGzcOw4cPxyuvvGLY8xFC2JcEdg30KI1Xmn79+mHbtm2Sp10I4TfLV1BSDocu26GICF22U5S30nht2rTB1KlTMXnyZISFhQHg3n54eDimT5+OKlV8e8mbNGkCIkJ6ejpq1qype9uFEPZl+cBuREDWix6l8UqTlJQEpRTq1q2rb6OFELanaShGKfW2UuoPpdQOpdQKpVQTvRoWyvwpjVeaBQsW4KabbpLeuhDCb1rH2N8jonZE1AHAYgBv6tCmkOdPabyiiAhJSUl46623EBMTg+joaKObKoSwIU1DMUSUUeTXmgCkRBK4NB4RoVevXkhOTkbDhg3x8MMPo0+fPl7vn5ycjFq1aoGIcNlll+GWW26Bw+FAly5dgtxyIYQdaC6Np5SaAGAogHMAuhPRmVLuJ6XxhBDCT4GUxis3sCul4gA08vJfY4loYZH7vQbgUiKKLGU7EtiFEMJPgQT2codiiKinj9uaBeBnAF4DO8DT/jwiIiIQYeEZL0IIYQaHwwGHxmnemoZilFLXEtHBCz8/B+AOInqwlPtKj10IIfxkSI+9HBOVUq0AuAEkAhihcXtCCCE00nzx1OcdSY9dCCH8FkiPXXLFCCGEzUhgF0IIm5HALoQQNiOB3QRapzLZibwWheS1KCSvhTYS2E0gH9pC8loUkteikLwW2khgF0IIm5HALoQQNhPUeexB2ZEQQtiM7knAhBBChBYZihFCCJuRwC6EEDZjeGBXSvVWSu1XSh1SSr1q9P6sSinVTCm1WikVr5Tao5QabXabzKaUqqyU2q6UWmx2W8yklKqrlJqnlNp34fPR1ew2mUUp9cKF78dupdRspdSlZrcpmJRS3yilUpRSu4v87XKl1C9KqYMX/q1X3nYMDexKqcoAPgNwN4C2AAYppdoauU8LcwJ4iYjaAOgCYGQFfi08RgOIN7sRFvAJgGVE1BpAe1TQ10Qp1RTAKAB/I6IbAFQGMNDcVgXd/wD0LvG3VwGsJKJrAay88HuZjO6xdwZwiIiOEFE+gDkAvBf+tDkiOklE2y78fB785W1qbqvMo5QKA/BPADFmt8VMSqk6AG4H8DUAEFE+EaWb2ypTVQFQXSlVBUANAMkmtyeoiGgtgLQSf+4DIPbCz7EA+pa3HaMDe1MAx4v8fgIVOJh5KKWaA+gIYLO5LTHVxwD+A87lX5FdDeAMgG8vDEvFKKVqmt0oMxBREoD3ARwDcBLAOSJaYW6rLOFKIjoJcAcRQMPyHmB0YPc297JCz69UStUC8AOA54kow+z2mEEpdS+AFCL63ey2WEAVADcB+JyIOgLIgg+n2nZ0Yey4D4AWAJoAqKmUGmJuq0KT0YH9BIBmRX4PQwU7tSpKKVUVHNRnEtF8s9tjolsB3K+USgAPz/1DKTXD3CaZ5gSAE0TkOXubBw70FVFPAEeJ6AwRFQCYD+AWk9tkBaeVUo0B4MK/KeU9wOjAvhXAtUqpFkqpS8AXQn4yeJ+WpJRS4HHUeCL60Oz2mImIXiOiMCJqDv5MrCKiCtkzI6JTAI5fKDEJAD0A7DWxSWY6BqCLUqrGhe9LD1TQC8kl/ARg2IWfhwFYWN4DtNY8LRMROZVSzwJYDr7C/Q0R7TFynxZ2K4BHAexSSu248LcxRLTExDYJa3gOwMwLnZ8jAB43uT2mIKLNSql5ALaBZ5FtB/Clua0KLqXUbAARABoopU4AiAQwEcD3SqknwQe/h8rdjqQUEEIIe5GVp0IIYTMS2IUQwmYksAshhM1IYBdCCJuRwC6EEDYjgV0IIWxGArsQQtiMBHYhhLCZ/wcxUOFNK+lFQwAAAABJRU5ErkJggg==\n", | |
| "text/plain": [ | |
| "<Figure size 432x288 with 1 Axes>" | |
| ] | |
| }, | |
| "metadata": { | |
| "needs_background": "light" | |
| }, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "fig,ax = plt.subplots()\n", | |
| "x = np.linspace(0,10,1000)\n", | |
| "lines = []\n", | |
| "styles = ['-','--','-.',':']\n", | |
| "for i in range(4):\n", | |
| " lines += ax.plot(x,np.sin(x - i * np.pi / 2),styles[i],color='blue')\n", | |
| "ax.axis('equal')\n", | |
| "ax.legend(lines[:2],['line A','line B'],loc='upper left',frameon=False)\n", | |
| "from matplotlib.legend import Legend\n", | |
| "leg = Legend(ax,line[2:],['line C','line D'],loc='lower left',frameon=False)\n", | |
| "ax.add_artist(leg)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": null, | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [] | |
| } | |
| ], | |
| "metadata": { | |
| "kernelspec": { | |
| "display_name": "Python", | |
| "language": "python", | |
| "name": "conda-env-python-py" | |
| }, | |
| "language_info": { | |
| "codemirror_mode": { | |
| "name": "ipython", | |
| "version": 3 | |
| }, | |
| "file_extension": ".py", | |
| "mimetype": "text/x-python", | |
| "name": "python", | |
| "nbconvert_exporter": "python", | |
| "pygments_lexer": "ipython3", | |
| "version": "3.6.7" | |
| } | |
| }, | |
| "nbformat": 4, | |
| "nbformat_minor": 4 | |
| } |
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