{ "metadata": { "name": "Tutorial de matplotlib.pyplot" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "Esto pretende ser un tutorial del m\u00f3dulo pyplot de la librer\u00eda matplotlib. El tutorial lo dividiremos de la siguiente forma (que podr\u00e1 ir cambiando a medida que vayamos avanzando).\n", "\n", "1. Primeros pasos\n", "\n", "2. Creando ventanas, manejando ventanas y configurando la sesi\u00f3n\n", "\n", "3. Configuraci\u00f3n del gr\u00e1fico\n", "\n", "4. Tipos de gr\u00e1fico I\n", "\n", "5. Tipos de gr\u00e1fico II\n", "\n", "6. Tipos de gr\u00e1fico III\n", "\n", "7. Tipos de gr\u00e1fico IV\n", "\n", "8. Texto y anotaciones (arrow, annotate, table, text\u2026)\n", "\n", "9. Herramientas estad\u00edsticas (acorr, cohere, csd, psd, specgram, spy, xcorr, \u2026)\n", "\n", "10. Eventos e interactividad (connect, disconnect, ginput, waitforbuttonpress\u2026)\n", "\n", "11. Miscel\u00e1nea\n", "\n", "[Para este tutorial se ha usado python 2.7.1, ipython 0.13, numpy 1.6.1 y matplotlib 1.2.0]\n", "\n", "En todo momento supondremos que se ha iniciado la sesi\u00f3n y se ha hecho\n", "\n", "**[Por defecto, aparecen todos los outputs de forma expl\u00edcita, si los quieres ocultar pulsa sobre el siguiente enlace (volver a pulsar para volver a mostrar)]:**\n", "\n", "Ocultar/Mostrar output" ] }, { "cell_type": "code", "collapsed": false, "input": [ "import matplotlib.pyplot as plt\n", "\n", "import numpy as np" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 1 }, { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "Primeros pasos" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Para empezar diremos que hay tres formas de usar la librer\u00eda Matplotlib:\n", "\n", "* La podemos usar desde python usando el m\u00f3dulo `pylab`. El m\u00f3dulo `pylab` pretende mostrar un entorno de trabajo parecido al de [matlab](http://guillemborrell.es/blog/carta-abierta-a-mathworks/) mezclando las librer\u00edas numpy y matplotlib. \n", "\n", "Es la forma menos pyth\u00f3nica de usar matplotlib y se obtiene usando" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from pylab import *" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 2 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Normalmente solo se recomienda para hacer pruebas r\u00e1pidas desde la l\u00ednea de comandos.\n", "\n", "* Una segunda forma, que es la que veremos en este tutorial, es usando el m\u00f3dulo `pyplot`." ] }, { "cell_type": "code", "collapsed": false, "input": [ "import matplotlib.pyplot as plt" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 3 }, { "cell_type": "markdown", "metadata": {}, "source": [ "* Por \u00faltimo, la forma m\u00e1s recomendable y pyth\u00f3nica, pero m\u00e1s compleja, ser\u00eda usar `matplotlib` mediante la interfaz orientada a objetos. Cuando se programa con `matplotlib`, no mientras se trabaja interactivamente, esta es la forma que permite tener m\u00e1s control sobre el c\u00f3digo. Quiz\u00e1 veamos esto en el futuro si alguno nos animamos/os anim\u00e1is a escribir sobre ello.\n", "\n", "Absolutamente todo lo que vamos a usar en este tutorial y que est\u00e1 relacionado con `matplotlib.pyplot` lo podr\u00e9is encontrar documentado y detallado [aqu\u00ed](http://matplotlib.sourceforge.net/api/pyplot_api.html#module-matplotlib.pyplot). Como he comentado, todo lo que vamos a ver est\u00e1 en el anterior enlace, pero no todo lo que est\u00e1 en el anterior enlace lo vamos a ver. Por ejemplo, en el \u00edndice ver\u00e9is que he tachado los puntos 9 y 10, las funciones estad\u00edsticas y las funciones que permiten meter algo de interactividad en los gr\u00e1ficos dentro de pyplot. Las funciones estad\u00edsticas incluidas son pocas, algunas son complejas y muy espec\u00edficas y las veo poco coherentes como grupo dentro de `pyplot`, para ello ya tenemos `scipy` y estas funciones estar\u00edan mejor ah\u00ed para separar lo que es \u2018gr\u00e1ficar\u2019 ([en espa\u00f1ol de Sud\u00e1merica existe la palabra](http://buscon.rae.es/draeI/SrvltGUIBusUsual?TIPO_HTML=2&TIPO_BUS=3&LEMA=graficar)) de lo que es analizar datos. Para interactividad con los gr\u00e1ficos tenemos el m\u00f3dulo [`matplotlib.widgets`](http://matplotlib.sourceforge.net/api/widgets_api.html#module-matplotlib.widgets), much\u00edsimo m\u00e1s completo.\n", "\n", "Para que quede claro desde un principio, las dos zonas principales donde se dibujaran cosas o sobre las que se interactuar\u00e1 ser\u00e1n:\n", "\n", "* `figure`, que es una instancia de [`matplotlib.figure.Figure`](http://matplotlib.sourceforge.net/api/figure_api.html#matplotlib.figure.Figure). Y es la ventana donde ir\u00e1 el o los gr\u00e1ficos en s\u00ed:\n", "\n", "![](https://pybonacci.files.wordpress.com/2012/04/pantallazo-del-2012-04-23-213736.png?w=700)\n", "\n", "* axes, que es una instancia de [`matplotlib.axes.Axes`](http://matplotlib.sourceforge.net/api/axes_api.html#matplotlib.axes.Axes), que es el gr\u00e1fico en s\u00ed donde se dibujar\u00e1 todo lo que le digamos y est\u00e1 localizada dentro de una figure.\n", "\n", "![](https://pybonacci.files.wordpress.com/2012/04/pantallazo-del-2012-04-23-213814.png)\n", "\n", "Para lo primero (`figure`) usaremos la palabra \u2018ventana\u2019 mientras que para lo segundo (`axes`) usaremos la palabra \u2018gr\u00e1fico\u2019." ] }, { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "Creando y manejando ventanas y configurando la sesi\u00f3n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "[DISCLAIMER: Muchos de los gr\u00e1ficos que vamos a representar no tienen ning\u00fan sentido f\u00edsico y los resultados solo pretenden mostrar el uso de la librer\u00eda].\n", "\n", "Como ya comentamos anteriormente, el m\u00f3dulo `pyplot` de `matplotlib` se suele usar para hacer pruebas r\u00e1pidas desde la l\u00ednea de comandos, programitas cortos o programas donde los gr\u00e1ficos ser\u00e1n, en general, sencillos.\n", "\n", "Normalmente, cuando iniciamos la sesi\u00f3n, esta no est\u00e1 puesta en modo interactivo. En modo interactivo, cada vez que metemos c\u00f3digo nuevo relacionado con el gr\u00e1fico o la ventana (recordad, una instancia de [`matplotlib.axes.Axes`](http://matplotlib.sourceforge.net/api/axes_api.html#matplotlib.axes.Axes) o de [`matplotlib.figure.Figure`](http://matplotlib.sourceforge.net/api/figure_api.html#matplotlib.figure.Figure), respectivamente), este se actualizar\u00e1. Cuando no estamos en modo interactivo, el gr\u00e1fico no se actualiza hasta que llamemos a `show()` (si no hay una ventana abierta) o `draw()` (normalmente no lo usar\u00e9is para nada) expl\u00edcitamente. Veamos como es esto:\n", "\n", "Si acabamos de iniciar sesi\u00f3n deber\u00edamos estar en modo interactivo (si hab\u00e9is arrancado IPython con `ipython notebook --pylab inline`). Para comprobarlo hacemos lo siguiente:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "plt.isinteractive()" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 4, "text": [ "True" ] } ], "prompt_number": 4 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Si el resultado fuera *False* significa que estamos en modo no interactivo. Esto significar\u00eda que si hacemos lo siguiente:\n", "\n", "`plt.plot([1,2,3,4,5])`\n", "\n", "Deber\u00edamos llamar explicitamente a `show()` para poder visualizarlo.\n", "\n", "`plt.show()`" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Podemos conmutar a modo interactivo o no usando `plt.ion()` y `plt.ioff()`, que lo que hacen es poner el modo interactivo en \u2018on\u2019 o en \u2018off\u2019, respectivamente. Como est\u00e1 en on (recordad que `plt.isinteractive()` nos ha dado *True*, lo que significa que est\u00e1 en \u2018on\u2019), si ahora hacemos lo siguiente veremos como el gr\u00e1fico salta de forma inmediata:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "plt.plot([1,2,3,4])" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 5, "text": [ "[]" ] }, { "output_type": "display_data", "png": 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} ], "prompt_number": 5 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Vemos que directamente se abre una ventana nueva sin necesidad de llamar a `plt.show()`. Yo suelo usar IPython as\u00ed para ir probando cosas y cuando ya acierto con como quiero que me salgan los gr\u00e1ficos voy a `spyder`, donde tengo el programa que est\u00e9 haciendo, y ya escribo el c\u00f3digo que necesito con la interfaz orientada a objetos.\n", "\n", "Jugad un poco con `plt.isinteractive()`, `plt.ion()`, `plt.ioff()`, `plt.show()` y `plt.draw()` para estar m\u00e1s familiarizados con el funcionamiento.\n", "\n", "Lo siguiente que veremos es `plt.hold()` y `plt.ishold()`. `plt.hold` es un conmutador para decir si queremos que los gr\u00e1ficos se sobreescriban, que en el mismo gr\u00e1fico tengamos diferentes gr\u00e1ficas representadas, o para que el gr\u00e1fico se limpie y se dibuje la nueva gr\u00e1fica cada vez. Si usamos `plt.ishold()` nos \u2018responder\u00e1\u2019 *True* o *False*. Si acab\u00e1is de iniciar sesi\u00f3n, normalmente estar\u00e1 en *True*." ] }, { "cell_type": "code", "collapsed": false, "input": [ "plt.ishold()" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 6, "text": [ "True" ] }, { "output_type": "display_data", "png": 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} ], "prompt_number": 6 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Como est\u00e1 en *True*, si hacemos lo siguiente obtendremos dos l\u00edneas sobre el mismo gr\u00e1fico:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "plt.plot(np.random.rand(10))\n", "plt.plot(np.random.rand(10))" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 7, "text": [ "[]" ] }, { "output_type": "display_data", "png": 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YJ9g+fXSjfMB1WUWGllfY0bpErkqvcVV5W3hDX6KPq/d1aGmBHGn30lDXUIcg2yBW1+vC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\n" } ], "prompt_number": 7 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Si el modo `hold` estuviera en *False*, solo se habr\u00eda conservado el \u00faltimo plot y solo ver\u00edamos una l\u00ednea de las dos (probadlo usando `plt.hold()` y `plt.ishold()`).\n", "\n", "Si estamos en modo interactivo (`plt.ion()`) y queremos borrar todos los gr\u00e1ficos ([matplotlib.axes.Axes](http://matplotlib.sourceforge.net/api/axes_api.html#matplotlib.axes.Axes)), t\u00edtulos, \u2026, de la ventana ([matplotlib.figure.Figure](http://matplotlib.sourceforge.net/api/axes_api.html#matplotlib.figure.Figure)) podemos usar `plt.clf()` y nos volver\u00e1 a dejar el \u2018lienzo\u2019 limpio.\n", "\n", "Si seguimos en modo interactivo (`plt.ion()`) y queremos cerrar la ventana podemos usar `plt.close()`.\n", "\n", "Imaginaos que ahora quer\u00e9is trabajar con varias ventanas de gr\u00e1ficos simult\u00e1neamente donde en una dibuj\u00e1is unos datos y en la otra otro tipo de datos y los quer\u00e9is ver simult\u00e1neamente. Podemos hacer esto d\u00e1ndole nombre (o n\u00famero) a las ventanas con las que vamos a trabajar. Veamos un ejemplo:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "plt.figure('scatter') # Crea una ventana titulada 'scatter'\n", "plt.figure('plot') # Crea una ventana titulada 'plot'\n", "a = np.random.rand(100) # Generamos un vector de valores aleatorios\n", "b = np.random.rand(100) # Generamos otro vector de valores aleatorios\n", "plt.figure('scatter') # Le decimos que la ventana activa en la que vamos a dibujar es la ventana 'scatter'\n", "plt.scatter(a,b) # Dibujamos un scatterplot en la ventana 'scatter'\n", "plt.figure('plot') # Ahora cambiamos a la ventana 'plot'\n", "plt.plot(a,b)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 8, "text": [ "[]" ] }, { "output_type": "display_data", "png": 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B9uvXr2O3V+SfOf0rkZx8C4fDgdGYt6b8ur0K4FtALFAS+JEHHiiXpSHWgk7d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\nPT2NNWvWICRkwXtHAmb79u2IiIiY9/1g3ruA735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Lsf37YebzTrxoEfzmKbUA9NevsA7khIibGzTANWvEe5cGPdevh+ZfuTIEmzFQ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I92jLt379afeOIJfenSpcl6guZzYXEHgpo1WdTXrrFZfPW6SCpiY1VBjSd27GAjJ7ZKdeRI1QjN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\n0+cr7wxfWMjMlc2baY0FBSkunLFjTTc62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} ], "prompt_number": 8 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Es decir, podemos ir dibujando en varias ventanas a la vez. Pod\u00e9is probar a cerrar una de las dos ventanas, limpiar la otra, crear una nueva,\u2026 Haciendo una llamada a `plt.figure()` tambi\u00e9n podemos definir la resoluci\u00f3n del gr\u00e1fico, el tama\u00f1o de la figura,\u2026\n", "\n", "Pero yo no quiero dibujar los gr\u00e1ficos en dos ventanas, yo quiero tener varios gr\u00e1ficos en la misma. Perfecto, tambi\u00e9n podemos hacer eso sin problemas con la ayuda de `plt.subplot()`. Con `plt.subplot()` podemos indicar el n\u00famero de filas y columnas que corresponder\u00e1n a como dividimos la ventana. En el siguiente ejemplo se puede ver dos \u00e1reas de gr\u00e1fico en la misma ventana:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "plt.ion() # Nos ponemos en modo interactivo\n", "plt.subplot(1,2,1) # Dividimos la ventana en una fila y dos columnas y dibujamos el primer gr\u00e1fico\n", "plt.plot((1,2,3,4,5))\n", "plt.subplot(1,2,2) # Dividimos la ventana en una fila y dos columnas y dibujamos el segundo gr\u00e1fico\n", "plt.plot((5,4,3,2,1))" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 9, "text": [ "[]" ] }, { "output_type": "display_data", "png": 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cU4jMgTP3IFRRAfz0p/IpVJUHXWuFM3dtlJQAc+fK9sy996qOhgDO3MkDzc1yhcSGDeYo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\nBGbOnIny8nKv4+ppLHfjKi0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} ], "prompt_number": 9 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Os dejo como ejercicio ver como pod\u00e9is conseguir la siguiente gr\u00e1fica (si no sab\u00e9is como dejad un comentario) y con ello creo que habr\u00e9is entendido perfectamente el uso de `plt.subplot()`:\n", "\n", "![](https://pybonacci.files.wordpress.com/2012/05/subplot22.png?w=700)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Por \u00faltimo, vamos a ver como configurar la sesi\u00f3n para ahorrarnos escribir c\u00f3digo de m\u00e1s. Por ejemplo, imaginaos que quer\u00e9is que todas las l\u00edneas sean m\u00e1s gruesas por defecto porque os gustan m\u00e1s as\u00ed, que quer\u00e9is usar otro tipo de fuente sin escribirlo expl\u00edcitamente cada vez que hac\u00e9is un gr\u00e1fico, que los gr\u00e1ficos se guarden siempre con una resoluci\u00f3n superior a la que viene por defecto,\u2026 Para ello pod\u00e9is usar `plt.rc()`, `plt.rcParams`, `plt.rcdefaults()`. En este caso vamos a usar `plt.rc()`, podr\u00e9is encontrar m\u00e1s informaci\u00f3n sobre como configurar matplotlib en [este enlace](http://matplotlib.sourceforge.net/users/customizing.html). Veamos un ejemplo para ver como funciona todo esto:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "plt.ion() # Nos ponemos en modo interactivo\n", "plt.figure('valores por defecto') # Creamos una ventana donde dibujamos el gr\u00e1fico con la configuraci\u00f3n por defecto\n", "plt.rc('lines', linewidth = 1) # A partir de aqu\u00ed todas las l\u00edneas que dibujemos ir\u00e1n con ancho doble\n", "plt.rc('font', size = 10) # A partir de aqu\u00ed las fuentes que aparezcan en cualquier gr\u00e1fico en la misma sesi\u00f3n tendr\u00e1n este tama\u00f1o\n", "plt.suptitle('Titulo valores por defecto') # Esto sirve para poner t\u00edtulo dentro de la ventana\n", "plt.plot((1,2,3,4,5), label = 'por defecto') # Hacemos el plot\n", "plt.legend(loc = 2) # Colocamos la leyenda en la esquina superior izquierda\n", "\n", "plt.rc('lines', linewidth = 2) # A partir de aqu\u00ed todas las l\u00edneas que dibujemos ir\u00e1n con ancho doble\n", "plt.rc('font', size = 18) # A partir de aqu\u00ed las fuentes que aparezcan en cualquier gr\u00e1fico en la misma sesi\u00f3n tendr\u00e1n mayor tama\u00f1o\n", "plt.figure('valores modificados') # Creamos una ventana donde dibujamos el gr\u00e1fico con la configuraci\u00f3n por defecto\n", "plt.suptitle('Titulo valores modificados') # Esto sirve para poner t\u00edtulo dentro de la ventana\n", "plt.plot((1,2,3,4,5), label = u'linea m\u00e1s ancha y letra m\u00e1s grande') # Hacemos el plot\n", "plt.legend(loc = 2) # Colocamos la leyenda en la esquina superior izquierda" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 10, "text": [ "" ] }, { "output_type": "display_data", "png": 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9peGamr5w1v5F5AaiZbL2/ZIZpv4Ipa1brb8T2hT7odZRTDU1NYiPj8eoUaPg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\n7ZuNjZPIMvV56tQpsrGxoeTkZBIEgeb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vr8+GDRvG/Pz8mKmpKbO3t2fDhw9nHMexLVu2SM07depUxnEc09bWZh4eHszf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\nAAAASUVORK5CYII=\n" } ], "prompt_number": 10 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Despu\u00e9s de usar `plt.rc()` para modificar un par\u00e1metro esa modificaci\u00f3n ser\u00e1 para toda la sesi\u00f3n a no ser que lo volvamos a modificar expl\u00edcitamente o a no ser que usemos `plt.rcdefaults()`, que devolver\u00e1 todos los par\u00e1metros a los valores por defecto." ] }, { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "Configuraci\u00f3n del gr\u00e1fico" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Hasta ahora hemos visto como podemos configurar la ventana y la sesi\u00f3n, en esta ocasi\u00f3n nos vamos a centrar en configurar el \u00e1rea del gr\u00e1fico. Para ello vamos a empezar con `plt.axes()`, que sirve para 'llamar' y/o configurar a un \u00e1rea de gr\u00e1fico. Podemos definir la posici\u00f3n, el tama\u00f1o, el color del \u00e1rea del fondo,\u2026:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "plt.axes() # Coloca un \u00e1rea de gr\u00e1fico con los valores por defecto\n", "plt.plot(np.exp(np.linspace(0,10,100))) # Dibuja una exponencial de 0 a 10\n", "plt.axes([0.2,0.55,0.3,0.3], axisbg = 'gray') # Dibuja una nueva \u00e1rea de gr\u00e1fica colocada y con ancho y largo definido por [0.2,0.55,0.3,0.3] y con gris como color de fondo\n", "plt.plot(np.sin(np.linspace(0,10,100)), 'b-o', linewidth = 2)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 11, "text": [ "[]" ] }, { "output_type": "display_data", "png": 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jOEGSWHthiUl9W0r02pTG5p0IsZR794BLl/hEr/37W7o3PBrW0/Lll1+iqqoK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\nsqCgoAbrGvp7t+Y8a5fBSalUsk2bNrHQ0FAmkUi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} ], "prompt_number": 11 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Como pod\u00e9is imaginar, podemos usar `plt.axes()` como sustituto de `plt.subplot()` si queremos dibujar gr\u00e1ficos que no tengan que tener una forma 'regular' dentro de la ventana. Si ahora queremos borrar el \u00e1rea del gr\u00e1fico podemos usar `plt.delaxes()`, si queremos borrar el contenido que hay en el \u00e1rea del gr\u00e1fico podemos usar `plt.cla()` y si queremos que no aparezca la \u2018caja\u2019 donde se dibuja el gr\u00e1fico podemos usar `plt.box()` (si no hay 'caja' y queremos que aparezca podemos llamar a `plt.box()` y volver\u00e1 a aparecer la 'caja').\n", "\n", "![](https://pybonacci.files.wordpress.com/2012/05/concaja.png) ![](https://pybonacci.files.wordpress.com/2012/05/sincaja.png)\n", "\n", "El \u00e1rea del gr\u00e1fico puede ser un \u00e1rea rectangular o un \u00e1rea para [un gr\u00e1fico polar (ver ejemplo)](http://pybonacci.wordpress.com/2012/03/24/dibujando-una-rosa-de-frecuencias/).\n", "\n", "Podemos colocar una rejilla que nos ayude a identificar mejor las \u00e1reas del gr\u00e1fico mediante `plt.grid()` (en un gr\u00e1fico polar deberemos usar `plt.rgrid()` y `plt.thetagrids()`).\n", "\n", "Si os hab\u00e9is fijado, `matplotlib` dibuja los ejes de forma que se ajusten al gr\u00e1fico pero quiz\u00e1 eso no es lo que nos interese en algunos momentos, para ello podemos hacer uso de `plt.axis()`. Nos permite definir la longitud de los ejes, si queremos que aparezcan los mismos, si queremos que estos est\u00e9n escalados,\u2026 Si solo nos interesa configurar uno de los ejes y dejar que el otro lo maneje `matplotlib` podemos usar `plt.xlim()`, `plt.xscale()`, `plt.ylim()` y `plt.yscale()`. Si queremos dejar el eje x o el eje y con escala logar\u00edtmica podemos usar, respectivamente, `plt.semilogx()` o `plt.semilogy()`. Podemos dibujar un segundo eje x o un segundo eje y usando `plt.twinx()` o `plt.twiny`, respectivamente. Tambi\u00e9n podemos establecer unos m\u00e1rgenes alrededor de los l\u00edmites de los ejes usando `plt.margins()`. Por \u00faltimo, podemos etiquetar nuestros ejes con `plt.xlabel()` y `plt.ylabel()`. Veamos un ejemplo de algunas de estas cosas:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "plt.plot(np.arange(100), 'b') # Dibujamos una l\u00ednea recta azul\n", "plt.xlabel('Valores de x') # Ponemos etiqueta al eje x\n", "plt.ylabel(u'L\u00ednea azul') # Ponemos etiqueta al eje y\n", "plt.twinx() # Creamos un segundo eje y\n", "plt.plot(np.exp(np.linspace(0,5,100)), 'g') # Dibuja una exponencial de 0 a 5 con la y representada en el segundo eje y\n", "plt.ylabel(u'L\u00ednea verde') # Ponemos etiqueta al segundo eje y\n", "plt.xlim(-10,110) # Limitamos los valores del eje x para que vayan desde -10 a 110" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 12, "text": [ "(-10, 110)" ] }, { "output_type": "display_data", "png": 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IiorCJ59I+u0fP34MQHI+WXmlZY8ePaqDaAkh6kgTxiPL+zWFxifVjVomyuLiYgwbNgyn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\n" } ], "prompt_number": 12 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Ahora vamos a ver `plt.axvline()`, `plt.axvspan()`, `plt.axhline()`, `plt.axhspan()`. \u00bfY para qu\u00e9 sirven estas 'cosas'? Pensad que, por ejemplo, quer\u00e9is resaltar una zona de vuestro gr\u00e1fico para focalizar la atenci\u00f3n en esa \u00e1rea. Eso lo podr\u00edamos hacer usando lo anterior. `plt.axvline()` y `plt.axhline()` dibujan l\u00edneas verticales y horizontales en la x o en la y que le digamos mientras que `plt.axvspan` y `plt.axhspan` dibujan recuadros entre las coordenadas x o y que queramos, respectivamente." ] }, { "cell_type": "code", "collapsed": false, "input": [ "plt.scatter(np.random.randn(1000), np.random.randn(1000)) # Dibujamos un scatterplot de valores aleatorios\n", "plt.axvline(-0.5, color = 'g') # Dibujamos una l\u00ednea vertical verde centrada en x = -0.5\n", "plt.axvline(-0.5, color = 'g') # Dibujamos una l\u00ednea vertical verde centrada en x = 0.5\n", "plt.axhline(-0.5, color = 'g') # Dibujamos una l\u00ednea horizontal verde centrada en x = -0.5\n", "plt.axhline(-0.5, color = 'g') # Dibujamos una l\u00ednea horizontal verde centrada en x = 0.5\n", "plt.axvspan(-0.5,0.5, alpha = 0.25) # Dibujamos un recuadro azul vertical entre x[-0.5,0.5] con transparencia 0.25\n", "plt.axhspan(-0.5,0.5, alpha = 0.25) # Dibujamos un recuadro azul horizontal entre x[-0.5,0.5] con transparencia 0.25" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 13, "text": [ "" ] }, { "output_type": "display_data", "png": 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4desWPvroU5w6dRalSvlgwYLpKFCgQJaiXhQKJQoUKIDPPvv0qc9OnjyPpKQm\nAFJDRlsDmAxgD4BGINvg119/wm+/hSApiVCpckOjicXMmV+mze2j1Woxbdok9OgRBotlilRXEoBD\nKF5c9Je3bt0CDRvWw6NHD+Hq6obbt/fiyJEjuHHjBiZN+hY3btxAjRpVMWbMYISEdMHFi2eQkmLB\nv/3xJPH++yGYNesTmM0zAdyCXj8LISE/IiUlBTVrNsbFi2WRlDQYp0+H448/gnD06L4MyyWazWZU\nq9YAkZEEkA+C0B8REdtQvnz5557HNm2CsWZNdyQkjAHQG0BF3L79K3799Vc0aNDgucfKvEHwDeFN\nMeXYsWP85JP+7NNnAE+cOGH39kqXrkpB+I4ACcTRaKzIVatWZbue+fMX0mBwpyCMpk4XwmLF/Bgb\nG/ufbLtz5w5dXApSqRxMYBkNhlIcPXpCpmXbtetKpXKY9D1Itbo/AR2B5LR9QHcC5QlUJLDSZv8i\nFi5cllarNdO6ExMT6eVVmirVEAJ/UakczsKFfZmQkPBUWYwGMRrcs4eZ/u3cmZJhOzh4OpXKGQSs\nBEilci6LFu0t2b+PQEsCSwhMItCOwAMCG1ikSJ+0OnbtsnD48J308wujStWRwA0CF6jVduKwYb8+\nZcOaNbfp7OxHk6kkAQOB+QTOUqPpRqMxH4EAAqEEShFoSGAbVaohzJ+/KGNiYpiSksKhQ0ezUKHS\nLFmyCrds2UKSPH78OE2mYmnfBbDQaPTiqVOnMpyjqVO/pk7X0qbcUvr51aTZbGZ8fPxz74lq1eoR\nGGtz7VazcuUGzz1Gxr5kVzvfDKVlzon+48ePOXbseH78cR+uXbs2W8ceOnSIBoMLgXEExtBodOGf\nf/6ZI3Y9izNnztDFpSAdHSvSYCjA0NCutFgsL1XXrl27OGTIME6bNo1Pnjz5z7bNnj2bOl1Hmx/4\nZZpMLpmWrVSpAYGfbcqG02AoQIViqrQdSSA/gXkETATySsK/nFptXv7yyy/PtOOvv/6iyVTcRqSs\n1Gq9uXXr1qfK2or+7t1WbtkSy127LJwz5yydnTsQqMM8eTpx3rwL3LOH/PHHR3Rz60K9vg/1+n7M\nk6cTBw78iXr9IAIfEvjT5jt9SWAFgfvU6ZqltVGnziTqdD0ILKRS2ZlKZRM6OISwZ8+1mT54KlQY\nRkHoQ2ANgeY29ScTUBNoJbXTmIAbCxYsxXbtujIqKuq51+vkyZM0Gr0IpKTVZzB48OzZsxnKffrp\nQAKTbdq3cEpYAAAgAElEQVQ9T40mNxUKDZVKLTt27Mbk5ORM22jbtiuBOTbH/sIyZWo+1y4Z+/JO\ni35cXBy9vctSq32fwDc0GHye2TPNjMaN20iilHpDz2SLFh3/s10v4smTJzx48CDPnDnzzN7u62DG\njBnUaj+yOR83qdfnyrTsF1+MpF4fTMBM4AkNhnoMC/uchQv7UqFwlHr9cwgkU6MJoLt7Ubq4eLNc\nudrcvn07r1+/zvr1W9DDoxSbN+/AO3fukCQtFgsnTpxIpTIPgQTJjgQCrjQaczM8PJwdO37E9u27\ncf/+/Wmiv3DhZebO3YFKZSPqdM2o1TYhsJeAhcAuOji04bZtZg4fvov+/iPp5/cZw8I28eefzdyy\n5QmdnUOlXv51m++/ROqVh1MQglmgwMccNuwXarVtbGx7Qo2mKdeuvZOp4C9efIUqVQsC/gRqE8hH\noDqBaQSiCagIxNt8TyfOmjUrS9crJSWFlSrVoU4XSmAtdbq2rFq1/lOdiPXr19No9CFwS3rQtCPw\nHoHKBP6hwVCX48ZNyrSN7du3U6/PLz3g99Fo9OXMmbOzdkPJ2IV3WvRXr15Nk6m+TY/wH2o0hiz3\nnGvUCCawzuZHvor167f6z3a9rVy7do0ODnkoCN8S2EWDoTZ79eqfocytW7e4b98+RkZGMiioDRUK\nLRUKLUNCOjE5OZlWq5Xnz59niRIVaDIVo9FYmNWrN6DZbE6rIy4ujgUKeFOpHEfgONXqAfTxqciU\nlBR26dKTen0lii6hGgRmEWgg9YZ7UBBMkmDOoE7nkib6uXK1I7BDuo6npF7znbRrazB0YWjofGo0\nbQn8QGA59foWXLkyinv2kOHhd1igQDcKQj9J+P8kECS124zACQIR1GiCqdd3t7lnSL3+fS5ZcuUp\nwQ8Pv0ODoSWBDdLDo6Ek/LspunLyUnwbSnfPKBQuvHDhQpavWUxMDMuVq0YgFwEd27X7gElJSU+V\nGzFiLAVBTfGtSyf9+RPoRWA9AwKaPbONNWvW0tu7PD08SvKrr6a9UR2Vd5F3WvQXL15Mo7G9zQ8w\nnkqlJtObPjOWL19Bg6EogT2SyHly9eo1/9mut5mTJ0+yfv0WLFu2FkeMGJfhtX/16rXU653p5FSV\nGo0TDQYXGo1NaDTWo4dHCd69ezetbHJyMv/66y+eOnUq7SFstVq5Y8cOhoWF0WAoZ3PdrDQaPXjo\n0CFqNE4EYqQe6XQCeQiEEUgiUIfAtzbHLU0Tfa22dQYhFsVsl/T/h1SpgqlUNiXQmkAbAgMpCNPZ\nufOSNJH+5ZckNm8+m7lytaeb24fs23c9BaEexbcZsV6dbjj1+hYENhG4T0FYTbW6KZXKRnRyasfx\n4w+k1Tdo0FbqdKn+8D0EnhDQUHTHHJV6/cUIfEJgDwXhfVaoUCtb7r5p02ZQp/MjcIHAY+r1DTlk\nyKhMy7q4FCHQQ2o/mkBxAr5Uqz9j1669Mj3GYrGwffsPqdfnpYNDcRYq5MPr169n2T6ZnOedFv2/\n//6bJlMeAosJnKBWG8qgoDbZquO77+bT27siixf35+LFS/6zTf+vPHr0iHp9LgJ/SSIWTGBimhiq\n1b3Zt+/A59bRo8enNBpLUKNpKfVwUwd946jT5ebBgwdpMNj2fEmgLIFlBM5LIrlE6sF/TSA0TfRV\nqkCKA6qiy0WpbEmNpg212i+p1bZj8eJ9CYyUBC+FwGgCfdix48JnDgLv2pVCpbIhgdtpPXG9vif7\n9/+RXl69qdc3o17fhkrleEnQT1Cjac5FiyK5Zw85bNgv1OsH24h+FMWBXAuBXwg4EHCR/s3DwoVL\n89GjR1m+Jvfv36eDQwECuQk4Uhw4387y5etkWl6vz0Pgks25nURBcGb+/EV569atTI9ZsmQJDYYq\nBGIpDnyPZa1aQVm2USbnya52/l8lZxUsWBB7925HxYor4O4eitDQXFi7dmm26ujR42NcvPgHzp8/\ngq5du9jFzv8Hbty4AZXKFUDqsoCPIWagiiQnV8L168/OZD137hyWL1+LuLjfkZS0DmLGaiMA38Jg\nCETTpsGoXLkyChcuAJXqMwBnoVBMhcFwEwZDf4hTAjsACANQBsBfAPKl1d+iRVMolR9BqewKjeYD\nNG3aAF9+OQy9exfHl18OhVKpg5g8pZT+6kIQ/kb9+pmv/HTgwAGMHfsVvL19oNH0AbAEWu0X8PDQ\nIigoECNGfIYZM6YiIeEhLJaBEBO0ygCohb/+Ehd3qVatOhwcbkKh+ArATgC1pO+xAOL8PNUA/CB9\nJzMmTPgi0wSuPXv2IDg4FEFB7fDrr7+m7e/RYwDi4oIB3AFwA8ApAPPg7u72VB3Lli1HUpIFQGpG\nrRXALrRv3xjnzh2Fm9vTxwDAiRNnYDY3h5hnAVgs7XH27JlMy8q8mfzfxemXL18ef/yx+8UFZf4T\nHh4esFrvQUxEqgqgOIDxEKdVuAqtdjUaNuz7zONv374NjcYL8fGO0p6t0GgKIijIFQ0ahKJVq5ao\nVSsQ584dg1J5GblyrUPp0r5o23YkBg0aD6AAgFsQxaocgOVSPd8AACIifoMgVEdKSkEoFJtRokQR\nlC3rh7JlxcVXPD3dcfHib0hJqQIxT2AvatWqhMKFCz9l69atP2PWrOVITHwfguAKjeYqWrZ8Ak/P\nGqhbtx4GDBiKS5euQxC0EGP0zwCoAIBQKP6Go6M4P73BYECnTu0wffp8iElpTaFQrIav7xKcOhUH\n4EeI6wDUBxCBAwcOoEOHjNM1pwp+fPwEAEpERHTCxo3L0KhRIxw5cgxW6wqIifYOAFpDrR6HyZMz\nrsq1e/dufPLJUFgsMyE+YFZCqYxGnjyJuHwZ6N69P6ZOHZvp4jG+vsVhMCyH2dwfgA4KxUYUL17i\nmdf50aNHOH36NFxdXbM1x4+MHbHTG0e2eYNMkckiW7dupdGYmw4OJanRONLRsQCBkgQ+oUqVj1Om\nfP3MY+/fv09HR1cCGyW3ziLmyVMoLfa+Zs1AqlSfUoxg+ZN6vSunT59Ok8mdgLPkSjpPYIS0nSi6\nKCT3jkYz0sZtcY5OTm0zuGp++ukJCxfuSb2+M/X6TvTy+oRbtsRm6tZxcGhHcTBYrE+hmMUuXZZy\nzx4yKOhrAgOl72CVxh2CqVR+Sa12AL29+/KXX5LS6qpadSyB7dIYwLcEurNkycoUo3ZibGyuxHHj\nxj113oKC2hFYYFNuBevUaU6SrFOnKRWKKWn7AR0VCgfq9Y7csGFDWh1hYZ8TGC+Vu0VgBtVqR+r1\nDQhsoVI5nK6unnz48OFT7aekpLB58/Y0GNzp6OjHfPmKMDIyMtNrfPjwYTo6utLJqTL1elf27Tvo\nxTdVNomLi2PXrp/Q3b0kK1QI4B9//JHjbbzpZFc77aq0EydOZJs2bejp6UlBEFi4cOFnGyKL/lvJ\n48ePeeLECW7ZsoUmk0+6+OJvqtWG5yb7HDx4kPnzF6UgKOjlVZqnT59O+0yp1FCMlKlKoD+VyvpU\nq10JDJV8+YWlB8z30njAKgJX00RfqbQd4L1PrbbpU2L+66/JnDv3HOfMOcPvvjvP+fMvPpW81a3b\nSmm84rJNfQvYoYPo+1erWxDYxtQBaGAMgQZUKoOZJ08nhoff4fTpx1m9+nhWqzaOFSoMIfAdAV8C\nHQl8RKXSgVWq1KEYobSKQHeaTG6Z5loEBralOGaVHmGWGmkTGRnJvHkL02SqKI0VuFMMx+xCwMCj\nR4+SJCdOnESN5gObOtZLD53YtH0ODoEMDw/P9LpZrVaeOXOG+/fvZ+/eYSxevBIDAppmuH4kmT9/\nUYqRSuLgudHozZ07d2b53soKzZqFUqdrQzGaailNpjy8du1ajrbxpvNGib4gCHRxcWHDhg3p7OxM\nT0/PZxvyjon+gwcP2L59N3p7V2STJu1448aN123Sf2LDhg10dGxiIyRWarXv8datWxwzZiK9vMqx\ndOnqaQlVVquV9+7dY3Jy8lPRKQ8fPpRCMcdTzIptSzGO/CcCPSmGFp6TPitAhcKBuXMXpJNTvjTR\nBwIJ1CPQnSrVZ6xbd0oGMZ8+/S+GhMymm1sXiiGgwdRo2rBIkd5pPf7du63UaAIpJjJ9QOAYxTDQ\nxuzTJ5w7d6YQqEtgsNTT3yEJbAwBC5XKWSxZMoxabWp0z2aq1U2pUAQS6GpzruayVq1gDh8+mhUr\n1mHbtp0yRD7ZsmPHDhoMblJPfhXV6veo1ztTpdIxKKgN//nnH44ZM4YqVRGKUU6pbcxm1aoNSYr3\nXsGCxanXt6VKNYB6vZiYZfum4eDQkOvWrXvuNW/XrouUm3GAgvAtHR3zpt3HKSkpFAQF0xPFSL3+\nY86ZM+e/3GYZSElJkToH6Q8rg6ETFyxYkGNtvA28UaJ/9erVtP/7+vrKoi9hsVjo51edGk0PAoeo\nVI5gwYLFGRcX97pNe2lu3LghRU5tJvCYgjCGhQqV5IgRY2kwVCJwiMAm6vV5+cMPP9DDowQ1Gidq\ntQ5ctmxFhro2btxIvb6ujWAlEtBKvcbSzJglO5Wenr5pseLpov8bxSSnVdTpWnDhwkv86acnUujk\nz1LEUDsCcwk8IrCfQHOqVKPZrNm33LDhAefPv0ilsgHFyKBBBPpI/66kp2cfNmgwlUCIVE8z6W+1\njW3XqFI1I7DFZt82Ojq2pxg5lLovgkWLVuSkSZM4depU3rx5M8P52Lt3LydOnMilS5cyKSmJ27Zt\nY506zVm2bDVqtW5SLzeGghDKPHmKcNOmTVQochNYZNPGXvr4VE2r8+HDh/z22285efJknjhxgu+/\n/xENhjoE1lGl+oz58xfl48ePn3m9LRYLVSotgcc2gtuBCxcuTCtTqFBJAsulz6NpMBTmvn37cuBu\nE7FardRqTQSupXU0jMZG/P7773OsjbeBN0r0bZFFP50rV65IoYiWtB+Mo6N/jv4gXgfLli2jIDhQ\njD0vQoPBmW5uxf8l0hPo4OBKQZgtbZ+hXp83w/wwW7ZsoYNDdaaHaj6mQqGlTleYYhLTBpv6PmGb\nNu34448/cs2aNTaibxujL/biVarGdHP7kGJ8f7DUw7cNBx1O4Du6uXWjShUoCXZjAh0IrLUp9xfz\n5u1Kna4DxZh9i/RQq0OlcqBN73YddbrWFH34qcf+Sg+P7tRoylOMpY+iTleLarUTVap+VKvfp8mU\nm6tXr2ZycjJnzpxNg6EglcpBNBoDWL16g7RciREjRlIQhtvU/TcBZzo5ubFhw2ACXhSnv7hNjSaA\nX3wx8pnXbtOmTfT1rUxX16Js2TL0mSGbqVitVmo0Rophp2L7RmNTLl++PK3MX3/9RReXgnRwKEGt\nNhdHjHh6jOK/MmHCFBoMxQhMo0bTmV5epf7znFNvG7LovwXcuHGDOl1upif5pNBkKsHDhw+/btP+\nEyEhH1AQvrQRoZk0GgswPTOWVCrDKAgaSWxvEviZen0gly1bllaP2Wymt7cfNZoPCSyhwVCDXbr0\n5IwZMynGsDtS9O13J2Cii0sBOjjUosnUzEb0U6dFuCOJu1nqpU+lmNh1RRL+fWnXAOhGpbI/BaGx\nJPYtCDRiqvtHLHucWm1XNmw4mQbDMEnwZ1B06zSmTtdCekh8Kh3fgGIm73YCu6nVtub48QfYrl0Y\nHR1daTC8Rzc3b4p+/vMUk88qEShClcqZgqCVhFu0Uasty02bNpEkZ86cKSWGpT64fiZQmkZjWy5Z\nsoSffPIptVonajQmduvW+5lJiitXrqLB4E5gHgVhPE2mPDx//vwLr/eQISNpMJQhsIAqVS8KgoFK\npTO12rysXLkuN23aRLPZzJMnT77wIfJfWLduHT/+uA/HjBmXrbyG/xdk0X8LsFqtbNGiPQ2GegQW\nUKdrzUqVAp45yVVOsmPHDk6ePJnh4eEvPbHbs6hXryUzujd+ZPHi5Wgw5CPwNRWKz+nk5Ea93oni\ndAouBOoTcGGTJiEZ0vkfPnzIgQO/YIsW73PGjFm0WCy0Wq0MCmpDtboqxUzachQTkVqnC1+a6Den\n6P9vQ3HitNQEskc29s2S9s0m0J2C0IRqdWrvfrdU5h8CzajRNKHJ1I5ubt3Yrt08Tpt2jBpNE4rz\n89ST2pkkifxWAocp+sgnUaHoyty5O7F06cEcP/4A58w5w/r1u7Bfv4E8d+4cS5WqTjFZqyLF6J8E\nAjsJ+BFQUByfKCi1U4dFi5ak1WplbGwsS5SoQHF6ih7S+dxBkymIK1euzPJ1K17cn2JymHheBGEo\nP/30sxceZ7VauWTJUgYFhVChMBDwoOjOmUjgPep0blyzZi2jo6NZt24zOjm5sWTJymkDyjI5Q3a1\n842K0x89enTa/wMCAt6aNV+ziyAICA9fjhkzZuHw4QPw9fXD4MEDoVLZ93IMHz4W06evQGJic2i1\n4VizZjPWrl2W7XVan0XHjs1x6NAYmM3FAChgMIzAp5/2RokSxfDDDxtgMhnQr98hHDt2HK1bdwSw\nDUBtADHYs6ci9u3bh9q1awMQl/r78ssJiI6OhpOTU9oi5Rs3rkSpUpVx6dI/EOPZb0PMExAARNpY\nMxnAQgCxAFIXCHECcBmpMfTAOeh0QO3aMXB2roD1628iKSkEYoJUHekYdwClkZR0AUlJDRAbuw6b\nNu3Hxo3bICZ1BQEIhZgINVnaPg5gmNTGPVit1SEIe1CpUilcu3YN48Z9hcRET+zaZcDixbXQuXN7\nXLkyHGbz3wCqQFz71woxjUYPoCSA2QA2AhiJy5ctOHr0KEqVKoXBg/vgq6++waVLW5Cc3B9q9WY4\nOV1CpUqVEB0dDVdX12deX7PZjMTERNy9GwVgGYAUAIEgTUhOvvPC6y0IArp0+QCkFT//vAvAGsl+\nALiPhIQoTJ48B+PGfY3z52shJWU2Hj/egzp1gnDp0knkzZv3mXXHxsaiW7e++PXXnXjvvdyYN28q\n6tev/0Kb3gUiIiIQERHx8hXY6eHzFHJP3z4cP36c8+bN408//fTcnvuDBw+o0TgwfQqBeBqNni89\ndfS9e/e4f/9+XrlyJW2f1Wrl1Knf0M2tKF1di3DChCmZTsZlNpupUKhp6083Gjtx8eLFaWWuXLlC\nT89S1OnyUKMxcsqUaWmf1a3bwuaNYjHFqRnuEZj2L5/+Q+lNoiFVql5SDz6YwBQCfSkILTl+/H7u\n2UN++ukGajSTJTdPUwJnmDqeILppBklumy8oDizfoThhmu2YwBdS/QEUB3cHEehGoBcVii5UKOZS\nENpRHDvYI/WqJ7BTp+7s338wBcGJQAWKkUKp9Q4m8L5NG2UJvMfly5fT17cSdbraVCiaUBA0LFu2\nKvv0GcD69ZtRq81FrfY91qvXNMPkdqn3QrVqDaSIHSMVipYEJkg99Q9oMOTh77//nuV7ISiopfTG\nddTGziEE2rFUqerUanNlOE+OjoH88ccfM60rNjaW27ZtY5UqdanVtqfohttCg8GFZ86cybJN7xLZ\n1U5Z9N9ili1bQb3elQbDhzSZyrFJk7bPFH5x8Njd5kdJOjnVee489plx7do1Dh8+nDrde3Ryqkyd\nzoWjRk1gbGwsz5w5k2lCz79JSUmhVpub6fHmV6hW5+GxY8fSypQpU01KNEogcIh6fcG0ge5Vq36g\nweBFcXbMDhQERwqCioDyX6J/nWJEzRWq1c2p1zcjsFQS3dYEgvn++wvp5/cFTaYQSdSPE/hREv4e\nkoiHUIypX0bgc4r+ejNFV0601FYyxYVPVkr/DycQRKWyD0VXU+oYwyOK7ppN0vY8tm7dmSR59OhR\niqGpK2yu0x6KuQrig1qMvVfR378GBaGIZEseiqGjDqxWLUAKo0wgkEidrjX79x+c4fw3bRoqRY4t\n+deD6wIVCn22Y+mdnT2kh5MvxUileRTdO/m5aNEiqtV6pnc2kmkylebu3bufqic6OpoeHiXo4FCD\nYjDAw7TzoNV+wm+++SZbdr0ryKL/jmCxWKjTORA4zdSwRpOpNHfs2JFp+eTkZHp4lKBC8ZUkPGuo\n073HixcvZrnNX3/9lXp9borT8abOWBlNrdaFBkNumkze1OmcuHTpcsbExHDXrl08dOgQU1JS0uq4\nffs258+fT52uKMUEK1cCTgQcqde7slChUly2bLkUf72d6dMNG9mtW7e0eqZM+YoKhUkSvS+p1+dj\n//79bUR/gyTCYylOYxxEcRrjxgQ6EbhI4CTFXvxESYSDKfroWxAIoq9vX7Zt+50kqHel72uh2Hvf\nQaCJJOgzKI4bBFOcs99K8W0gWDrWNiafUv3jKb4B5GHNmg3TsloHDRpClaoWgTjp4dGWQAGpvJh0\npVY7UVzoZwjFJKx/mPrwFKdI/sqmrZ9ZqZK4stWjR4949OhR5sqVXyo7l+njHSQQS6VSk62xHrPZ\nTBcXT4qD3HMIVCHgynz5vNNmqB06dDSNxhIERtFgqMfatQMz3BOpdOrUnSrVQMmW1FBUMRTTYAji\nokWLsmzXu4Qs+u8IsbGxVCq1tH1tNpnaZwiZ+zeRkZH09i5PcXWm/NRoGtPVtTCjo6Oz1KarqyfF\n7E1HG6GIlx4CO6Xts9TpcjN37gJ0dKxOk6kEa9ZsxMTERE6aNJVarZMk+I5SrzAvxciVkxTdGNWp\nVjtTqXQioKe4wEh3ApvTkr1IctiwEVQqP7WxYwcdHNxtMnKbSALfn2IETi+KPexgZgwh3UwxZj6Y\n4kCshaKLZxiVyhbs1m0lBaEBbZOMxN5+femYPRSToJpTjOfvRmCA1FagzUNkO8X8hdU0mdpQr/eh\nIJQmsJ4KxVg6ObnxyJEjvHfvHps3D5XE20RxeckFBLpQofCgj09FqR1SzEXw+9cDpQgFoaR0X1ip\nVg9gp07duX37dhqNLtRqi0vntQfFLGMXiuGoF6hWt2OJEhW4devWLM2Rf+fOHXp6lqJWW5Sie+dL\nqlS9mSePx1P31KZNmzh06DDOnz//mVFEVao0YnpOwyKKmdcjqdOF0Nu77DsXiplV3ijRX758OceN\nG8dx48Yxb968fO+999K2V6zImJAji/6LMZvN/PrraezTZwC/++47urp6UBBCKK7bKi71+KIFN/z9\n69LWfaBS9eWgQUNe2LbVaqVSqabYA81PMTuWFJOaXDIIj1JZlYKQuuJWMnW6xuzWrZvkXkqd7ngt\nRVeG7XKBSRRf64tRjMzxo+gmGUbAgw4Olblnzx6SqUv+jbc59hiBAmmiX6DAxxR74+0o9r5DKL6d\nDKJtCKkoLmEE2hP43Wb/HgKfUadrSh+fAdKD4UvJlqZUKj+QxP8BxbeIVFfEZelhkxpm+QtFV9LH\nBOrTw6M7v//+BtVqT6b30C8SyE2l0olKpYYffvgx3d29CfSVzm0rAr708akozb2T6ha7J53D1LDT\nXwk40cnJlQ4OFengUJmenr68fv06jcbcNuUuEjBSqaxLvd6XOp0rdbo8VCrdqFL1ptHow759Xxy9\n07VrL6rV/aQHzK9UKCqwbFn/lw7PHDRoGPX6VFeYmRpNZVavXpvTpk1jTEzMS9X5LvBGiX5AQAAF\nQaAgCFQoFFQoFGnbdepknONbFv1nk5SUxIsXL9LPrzp1uuaS+HhRqSxNhaIuAQMdHPKkxW8/Dy+v\ncv8St1ns3LkHSfHt4ciRI7x06RJJ0cc6depUjh8/gWfPnqWfXw1pdavfKPbQPahSOVCtNjG99/wP\n03vxqW1MoyDoqVTaLmxipRiOWJbpbyu3CSgpTqCmoe1KV0ArqtWmNDfIb7/9Rr0+L8We+h8Up2Zw\nSBN9MX69KcVErA8l4SVFl0EzAgspumUaUHTTtKLo5knt6Q8nMIRKZUP26PGDVC51IDiQCkUvCkIz\nim8hLWzsjGDG6Q8o2fELgbrUaJpQoahHwJNiyGg9ij55f4rx+QMIuLF161Dmz1+UWm0uqlRa9uv3\nKRMTE7l582aqVK4UY/J3UXSP6aWHgzO1WiceOHCAu3bt4s6dO2k2mxkZGUmdzv1fNtUgoKRSqWGj\nRs2p0+VlenbtA+p0uXnx4sXn9virVQuUzn96iG6NGsEvfZ/Hx8czMLA1NRrxnmrWLJSJiYkvXd+7\nwhsl+tlBFv3M+fPPP5k7t7s08OnD9Cze2xRdAPFUq3txwIDPs1RfWNgQaTbFGwRO0WAowo0bN/L0\n6dN0cfGgo6Mf9XpXtm/flc7OBajRfEilMowGgws3bNjA4sXLU602Ua3Wc+jQ4bx9+zbXr99AgyE3\nnZxqUq93oY9PBarVAyQxj6G49moL6UFxT7J/GwE9ixUrR7U6hMA3FFdu0kkPJR2B+xmEs3Xrthm+\ny/r16ymOB3hLD4pTNj79xhTn57FQnJTNdlGVvyTxbkNxls9h0nYHigO27Sm6aUJYteoYKVkrNTLl\nkPSQSE3gGiYdt47iW9AK6aHyRCp/SXpgNGLqoLLo7w+VbF9H8eFXjOmDvVEE1BQEJX19K3LKlCkc\nNWoUS5euxkKFStPNzVO6FypTdI19RKXSmWXL1sh0YN5sNlOnc5JsT/X9O0jX4AE1mtpUq0vanOur\nVCicKQgqmky5uX79hqfqJMnPPx9u0zNPoF7fjEOGPDvrN6vcv3+fDx48+M/1vCvIov9/hMVioYtL\nQQJrJHEItvlhphAwUhyUXcA2bT7IUp1JSUn86KM+NBpz8733CnD6dHHR7ZIlK1EQ5kt1x1CtLkGF\nwtb1soK+vpXp61uFjo6uDAhokuE1/ubNm9y9ezcjIyN5584d+vpWoiA4M301KB+Kg3OOFAck8xBo\nTqXSmeIYg5GenkUksSfFeW5qU0x0GktHR1fevn2by5evYPHi/ixatAJnzZrDtm0/oFpdhKKrhTai\nP8TGdivFAdXGFN007Sj2sltJAniLCkUTii6nSxRdM/vo6NiBX3/9JwXhA0nEp1McI2jJ9F7/YYrT\nH/RiavatIARSowmhXv+FJPYNKQ5yfmdj0ybp3JCi79p2riErRbdNfopvPgaK/v31BI5SEIpK4wEP\nCQttT8oAACAASURBVCRRp+vArl0/ee51X7NmrVRPGald27eu36UJ7pZQfEh7UQzhtBA4QoNBzNC1\nWq1cteoHdujwEQcNGsJ//vmHjRu3olabixqNEwMDW6dNjX3mzBn+/PPP8lKKrwBZ9P+PuH37NrVa\nZ6b37N0oLuv3NUWXQQCBmzQYynLRosUvrvA56HSOtO1ZC0IYxZ5pqjBskaJllhC4TpVqMEuW9H/m\n67/FYmG1avUpTn88gWLv2lmqc5/UVjLFKX2jKI4R6Onk5Ca1kSwJ7Hv096/NyMhIbtiwkQaDB0Xf\n9T4ajSU4Z853rFixEgWhliiWaaIfyvRpnq9QqWxMhaINxR5/T8mOJdLnB6lSpfbetxDYSY2mDQcN\n+pmenj2ZPhA8haIraYpU9n2KkTJW6W8SgYZs2HASP/54JZ2dQ6QHS1up3kFMd2XNlK5nKwIlJEFe\nLwn5WIpvAQsohoaWI/CZzbW4KH2upkKhY926TTKdhtmWixcvMiAgmEaju7TucAeb+lbT29uP3t7l\nqPofe+cdXlWV/f3PueeW9EBIgCQQQ5EmSFFBQERAimBBQBCRpsIIKiBKsSGgICIoKAgiCCKCCoqV\nIiIKKr1L772XhJDklnPW+8c6KQzMjDrDOzq/rOfhIbn3nL332ffmu9b6rrLdYaJK+NIEgffff19e\nfnmERERUEHhbPJ4ekpRUVs6dOycnTpyQkydP5s71/PNDJTy8uMTG3i7h4UVkzpxPf/f3cf/+/VKn\nThOJjS0u1avXk23btv3uMf6vSAHo/w9JMBiUiIhCAqucP8ABopZyMzGMogLh4vGES//+z/9T7tWy\nLPniiy/knXfekU2bNl3xmsqVbxbDeNuZ57x4veXF6y0qSmvsEZ/vOvF660t+azQsrEhulsaZM2dk\n+/btkpWVJenp6TJw4ECJj09ywGmt5Fnb10seRbVT1ILNAZiWkpJSWtQSLewogWK5rn6LFvfnA2rN\nvImLKysREdVErdMa+UC/nQNsLwo0l0qVHhfTHC4ac/jOAezeom2Tm4nHc78o/TFI4GFJSXlYbrzx\nWTHNZ0Wpp3vyrdsWDQzf7iiRLs6/dgJ3imneLW73Pc7vLUQt/Z9EvZcnRAPQ14jGLUaLBpqrOM/s\nE1WORZ157hDNf++S77mXi1JayyQ+PvVffo+OHj0qhQoliss1QrTQqa5ERRWTiIh7JCysu0RGxsvP\nP/+c+11RA2CTM1e2REVVlgULFuQ7E/mggCURES0vS6PctGmThIcnSl5e/joJDy+U6wH8FgkEAnLN\nNRXFNIcJHBLDeFvi40sWBHP/gRSA/v+YzJ37uURExEtMTEMHEHZITrAtIiJJNmzY8E/vtyxLmja9\nVyIja0hExENOa+OPLrvus88+E6WLrhUoJKYZK337PiUJCalSqFCStGrVTqKirhO1wOeIFgwVlrFj\n35LRo8eKzxcjUVFlpHDhJClePNUBq6cFCokGOy2B02IYRcQ0bxGXq58DbsMkj66q7OSgbxBtxpYt\n4eFtZfz48SIiUrfu7aJZMCsdQHxPXK540X7qfoGX8oF+V1FrvL/ATPF6HxaXq7lolk+65BykbhiN\npV69QaKFVzmgetRJ+bzXWXsb0ZhEKN9a24lmLj0iqswaOophlbO+eyQvZXSVM1ZOj/8xolZ+m3xz\npguYUr58DalatY7zWS8WzdE/LFot29NZd0nRIrM9UrhwsohowdvevXuvmH47ceJECQ/vkG+u4+L1\nRsr48eOlZ8+eMmXKlEvSIT/8cKaEhxeVyMjOEhV1vdxzT3uxLEsMI8L5jhQTqCphYW0v64//xRdf\nSExM83xziYSHF5eDBw/+5u/89u3bJSqq9CVjxMTU+st3ob1aUgD6/4Ny8OBBmTJlioSHJ1/yhxAb\ne7vMnz9fRER27NghCxYsuIxD/eqrryQqqrpoOqQIrJfIyLjLPIO2bbuI0hPrBPYJTJZGjVrmvh8K\nhaRBgxbi81UVtUK/ElgkYWEpjkeQ09P8Y1GLNcd6n+uAeyHxegtJ27adZfLkyTJs2DC55557Rfn+\nrgLXi2kWcgKOxyTHona56klERFEJC1PLX/PWU0QpjwgxzSKSZ4G3zAf6K0St7F3OewvEMJqJad6R\nC9Be750yZswG6d9/nni9j4nSTAFRS/xRyaOHZjsA/YwDxINEvYSQaBCzgShdtD3f5zNTlIL7MZ+i\n+NZZ03rnGfKD43ExDI907fqodOjwiDRq1ETU4ynuPN8x0dz6SFGPb4VERNSXxx9/Sk6cOCEVK94o\nERFJ4vXGSpcuj8qePXukUaN7pGTJ66RatZpOi+dZollLK8Tni5bSpStLdPTNEh1dV1JSKlyiMDZt\n2iSTJ0+WefPmOS2e3xTTTBXNqLIFnheXq9AlZ2aIiOzevVvCw+Mlr2jwCylcOOmKzQR/+ukn6dbt\ncenV66ncjDER9Ux8vsKS1xwvSyIjr/mXBs7/VSkA/f9RCQQCTlA3p+eM5uUfPnxYhg17TcLDi0ps\nbCOJiIiXmTPzLPnJkydLZGTnfOBiicvlviwVTo/hy2/tfiE339z0sjVUq3aLaIVrznVPOr1b8qcD\n+kQt18MO8BUWiJJhw4bl9k+xbVu+/PJLSU6+VgyjiLjdpSQxsaw0bnynhIXd4SifnqJVu5tFc/Zz\n8tP9oj1qOoj2179bNCuo0N+1YRgnmrkz3wHtj0RbKzcTpVxaSP/+82TUqDVimjmB2abidjeTvMM/\n1PLPK7a6X9TKz2mLfVg0gHuXwC/57nlTNBYwJt9rb4vSNM1F2ylECTwmarVXEJcrUgxjiMAY8fni\nxOe7VjQA3lU0jtFdihVLlRo1bpMyZWrIgAEvSCAQkObN73MqWW2BZWIYiWKaseJyvSywwakpiBJN\n02wvECkJCSXE5eouOcrZ7X5KHnyw22XfO7/fLw0atBCPp5BoO+u8PQkPj7vid3X69BkSFhYjkZEl\npVChRFm+fPll18ybN89JuR0phvGsREcXvaTGpHv3XhIZWU3gRYmMrCP33NP+NxWM/V+U34udhnPT\nf10Mw2DWrCX/7WX8qWXfvn0MHz6arKyLmKZJ7949SUxMZMCAwQSDI4DCwEE8nsFMmvQ2YWFhHD58\nmGefHUowOAAohWF8RokSGxk58qVLxl6xYiUTJswgEHgUMPF6J9Gp0100atTgkuveeusdfvklCbjL\neWUO8B0wCogCtgCvAv2A94CaaOfFpcByPB6brl07sHHjVtau3UQolAC8AHiAjzGM74EgkZFRXLyY\nhcgNQGW0C+RrQCFn3k8AF1AWGOP8LDB4v749eAnwEdp98xjQBu2YCfC5s1cRwHcYhguRtkApYD+m\nOQvDiCcU6gj4gB+ADUAM2onyrDNvcbSjZhYQD5wG6gCZuN2biYmJ5uzZs857LgzjNIUKFSI7209W\n1m7nWXL+/CIBP/Ci8/sSYBow2Pl5H4ZxhFGjXiYpKYlt27YyduxE0tJOYxgRiDwBJDj31wV2AsOd\nsb4CtgNPO/vxCzAF6A7Ucq5ZT9my8xk0qB9bt24lGAxQoUJFvv9+CXPmbCUYrAn8iHYP9QBLSUpa\nyOjRw7iSZGdnk56eTuHChfF4PJe9P3DgUA4cuAO4KffzbNw4i5tvvon16zcSHR1BTEwsx4+fICmp\nOLfcUi+302qBXCrt2zfg98D4n6q1cvHit/23l/Cnld27dzN+/AwyM5MwDLj//o40b96R1atX4/W2\nIBi8N/dat3s+bndlihcvQfHi8NxzJXn11dfJysqgVKmKvPLKp5e1tW3Z8jbCwqoyY8ZcbNuidesX\naNWqZW5b3oMHDzJ8+GucOCG4XNux7UpAND7fEa69tjm//joRBdVD+HxV8XiWkJFRAXjHmaEL0IFg\n8AmmTBmMx1OUUKg7UBJo7FyTikgG8DyZmb3R73EV4BxwHXAKuAdIRwGxCTAD6AVc68y1HwCX6xCR\nkSVISkpk585diDRDwRfnfh/QFMhCxAV0zbd/pylZMobdu793rgtgmpWwLIC/oUpkLqoAygAW4MHl\nSiI5OZrU1Mo0aNCfwoUL4/f72b59G6ZpEhdXhLFj3yYQuNd5pl+ce1/E5eqPbUcCtzmriCEubg8Z\nGZ/j8VxDMBhHnz7PU6NGU06fPs3IkW+QnT0JKI7IfGAx0Ajog7aFHoG2aDaBX4Ea5LWLLgusBI6j\nSgpMcyHXX38vL744l+PHBcOIxu1eRaVKlQgGewAtUAU0DYglMvI4gwdPo3jxa/l7sW2L9PQLpKTE\n/EOgFvnE+fyqOq+c5tix5YwcuQS//y7c7sPExW3nvffeJjIy6opjFMgfkz8V6BfIlWX9+vU8/fQL\n2HZ9FNjO8/HHT3LttaUoV64cweAetE98WWA1hpF9CajXr1+fW2+9lb1793D27DlM07ziPM2aNaNZ\ns2aXvX706FG6dHkUkYqoNfwrUVELqVPnZu66aygjRrwFPAokA6mEQlNp2tTFt9+uJDs7hH7NgkA2\ncA2G4UGkBGrZfooqi5tRi/oaoDy27QOeREFQgEGodf+VM05pFPBLo1b4GdRj+AYAn28HlSpdT3R0\nJEePHufChQ+B1s51vwDRwHJnLFDrPQ44h2WdJSPDBBqiYBmNZY1Be/Nnov379wE7UGW0G7Cx7ds5\nfPgsZ89upHHjRs46fFStWg2AFSuWO3t4g7PmAUBzwsJ6UaRINqdO7SUQ+AkAt/sNKleuQrt2bfH7\n/ZQoUYJChQrx888/s2nTJiAV+BrYBniddX2F9vMvDxQDnkc9reW4XEFsuyFQBD1nwHKeuyUguFxu\nli8/zvHjJREZAhgYxhwOHlyAz3cRv78ZMBiXaxgVKpxj+PCpxMbGXvZdWbVqFYMHDyMUsgkLC2PE\niCFUqlTpkmtEhHr1bmL27DcJBJ4EMvD5ZrF3r43fPxyoSCgE588PZtGiRbRsee9l8xTIH5cC0P8L\nyCuvjMG2w4AHUMutCH5/EzZv3sItt9zCwIF9GDGiDy5XFC6Xn+HDB+P1ei8ZY+LEKXz++Xw8nmuw\nrD0MGfIcNWvW/E3zjx37NiJ3Aj2dV6aRmfkZDz3UgWLFipGVlYmCXykALCuBrKwjVKyYypYtzxII\n1EGpgarAWkQM/P71qJK4BRiJglAU8AzQDQigSgyUkqhA0aL7OXXqJCJxwFFnPXeiFnc/FEhVsrIs\nVq7c5tx7N7ACPYjERqmgtii9MgulZUYA4ZhmkObNm7JgwSIU3HOArTR6SMt0lBLZilId4ajCGAHU\nRiScrKwQq1atolGjSw/98Hq9GEYaqsTSgL76dMZRevR4ii1btjB79ihCIT+WdSMrVkSwevVzjBs3\nmpiYGHr0eJKjR8GyIgkEtjr7+RH6ZzyKiIjVZGYuRD2aJsA44ABwkrvvvoevv34I2w7i9caQnX0z\nqhTSgOUEg+M4diwOVXLq3YlUwbLmU7VqJBs2tMc0wyhSJILnnhtCeno6Pp+PsLAwAH79dTOjR09g\n//59zudZhWDwJwYMeIE5c2bi8/kACIVCDBo0nDVr1mLbgts9iMTEonTr1ofhw0cBecaKZRVly5at\n7Nx5gPj4Qtx3X2uio6MpkH9PCkD/LyBpaWeAFBRokgEb09xM0aIK2g0aNKB27Zs5e/YsCQkJeDyX\nAv62bVv58svvCASmEgjEAJsZPPh5vv567m/iSc+dy0BBPUcqYNvkegz169flm2/GEQj0Qa3omSxe\nLNx7b0tq1izMihXL+fVXBWDTXI9llUOpmokoP9wOVWgW8Kzz+yFgKgrmZ4DPaN26LRMmTEV54KXk\n8cFuoDrqNeRIG2A2qhhSgGqoJfwzelpXDi1hOc/WCPgBy1rN/PkLMQwTBfjyqFewHgXEU8Aq1CsI\nd8aIQxVWBhCObUcRCIQu28fKlauwYMH3nD37Ppb1I3ArMIqsrE08//yLuN0+QqGqQCIiPQgEAOYy\nbtwU6tSpzqFDhRxqaKgzZyNn/wCa4fFswO2OJBT6HOX3e6AU1jQCgXS+/XYetm2zcOFCRo+ej20L\nqtQWobSQ39mj251nm0ORIoUYMWIwR48eJRgMsHv3Xrp27Y5pxgCZDBv2IvHxRejX73mys+9GjZIq\nzppuwbImcOLECVJSUgCYPftTVq8+Tyg0mxxlVbp0iHr16lG37gqWLXvDiSsdBuaxdKk+s9u9h2+/\nfZz33ptARETEZXtbIL9dCiIjfwGpUKEyLlcy8DZqnT1MYuJZ7rrrrtxrwsLCSUpKvgzwAY4ePYZh\nVEADkaBWWJCLFy9ecp1t28yb9w0jR45h1qyPWL16NX36PMu5c2eBmeTRGzNJTi5KfLxy5D17dqNJ\nk1TgEdRy7oBt1+PTT7/k+uurMGbMq3z77Tw+/3w2UVHRWNYtQCJ5gFXE+bkfCsIPoDx9CGiBYXSl\nXbumDsdfB3gKPULwS/Ks5oVc+nW+AbVY7XyvifP7Oef3LJSfv895ro1Ad4LBgQQCqSj1swkNVrdH\nvYNHUIA/idI7giqBTOffJjyeFVSunF9Jqni9Xvr2fYKGDYs5196HeiwVgesIhWqjMYRUFIA3ADZn\nz57nxInTBAIV0ODsINTD+dnZL8HlWkZ6+jls+6SzHy2AZs4exJGd7ccwDEzT5Pbbb8fnOwYMRKme\n3c51zdGgeSvn5/14vT4MwyA5OZnIyChee+1NAoGxZGXNJCtrEM89N4Rly34iFGqAeheHgfPOEx8l\nFDpP4cKFc/dgzZpNhEK3o5SUC2jO8uVrAejXrxcNGxYhNrYfSUlKQQUCo4DWhEL9SUtLYtmyZZft\na4H8Pimw9P8CMnhwfwYMGMzu3RkYxkqaN7+DXr2euGJWxJWkdOnSWNZ4FGCSgCVERcUQFXVpgGz0\n6LdYvHg7fv/tuN1rsawZiDwGRONyjcK27wGgbNkKjBs3Pvc+t9vNgw/ex9dfz0OzeHJomQF8990i\nypUrx+HDhwkLCyMqKpKzZwXNLvkRtdDnAGEooFkoECeh9EknIJW5c7/E7Q533n8H6I16BV84r7VE\nKZjPnblXolbnh8AdwHk8npW43WFkZf2KxgNiUcWSgQL4TWhgFhSQX0KVRzFnjQnOeLFo9k8ON+4G\nbFyuSRQtGk/Llh0pUaIEZ86cQUQoUqRIbkA8LCyMJk1uZ9GiKejZurEoSLudMW9EFeyH5HgPZ84E\nWL9+E0pDpaEeRxXn+e/H7Q4jFDoDvIpIFTTIPB71cDLx+WbQpMnTuZ+X1+vlxhurs2xZkDxPK4f6\nKotmEvUFjhIbuzf3voMHD+LxlCIQyNmjGkAEgUAAl+scGpS/F1WMqfh8e3n00UeJjo4mGAwgAm63\njXqDTZ3PZzmBQCYigs/nY8CAJwE1QJo0aUaeoQK2HUsg4KdA/j0pAP2/gBQuHMekSW+SnZ2N1+vB\n5bpyIPYfSalSpejZsyvjxz+Cacbg9Vq8+urLlxyYnZ6ezsKFC7CsOUAkoVBLNKMlCaiKbUdQsuQk\n3ntv3BUPcC9SJB4FwPh8rxZl3bpN3HvvA4RCHmz7IgkJOWBZFhiNWtNulMopioJtLzQAuQ2ojMhd\nBAKDCAQGol7BG2gGTqQzZ3c0/XJcvrlno6ASiWnOpWzZVPbtA7+/AnAE2IjL5cK2izr3JXCpV3AK\npTjud35fgB78HY9mIhmoJf4RLldJbrqpCG3b3ofLZRIMBhg37h0OHjwCGJQsmcijjz7Eli3b+OKL\n+QQC2c7ahqLAuR8NhP/iPF8I9WgeB4SMjJfIyMhAU0SXo15NM9Tj6UZcnIuzZ2sRCuXQKi2BcRQr\nNgqPx0OXLj2oVSsnNVOlfft7WbXqGfz+KoAXtztAsWKfcPToCURuwDB+JSxsIZ07v5F7T2JicYLB\n/c7eJAB7sax0mjdvzjff9OXcuVFYVgpeLzRsWJR27R6jZMkUhg8fxeLF3wJw7bXlMYwjiHR19jeD\nyMjwyw5vd7lc1K5dn1WrXiEQ6ATswTRXULNmFwrk35OrBvq2bTN27FjeeecdDhw4QEJCAm3btmXo\n0KEFnNzvkFBIuWG3250bNPsjcs89d3H77Q1JSztPQkLRy7yEQMCPaXqxrBye2kS57BzLKohhuMjI\nyCA2NvayP1K3202NGjewbt0IlEc/CHzHgQPFUI64G+Dn+PG+zph7URffQCmS2WjufzQK+CvQIO/D\nwCSUo7/Bma03qhhaoFz9NDQDKJhvRT6gA/A9N9xQhlDIJhCoj1IQAPOx7WVAfzSlcQ9K00xELftV\nzvw5UhTNLrqOnECnxlcEl8tDmTKlc5Xx/PmLOHjQRyg0GIBDh2Ywc+bHbN26m2CwExpAHoaCfA2U\nzimBgv8XqPVd25nDQPPul6HekI3SfFOAi0B1Tp48iCrIbOearYSHRzNr1pTcz2nt2rXMnv01YNC2\nbQtq1LiBDh3a8MEHHxAMhgiFAhw7doDU1DKUKxeOx5PFffe9mcvFAyQlJdO164NMndoNjyeVYHAf\nAwb0pWjRokyePJ7PPpvL2bPHqV27L3XqaCrohx9+xNKlR7DtzwEX+/a9QFxcFBcuuLHteFyu4/Tv\n/xRXkueff5q33prEmjWvUKhQIZ588lWKFSt+xWsL5LfLVQP9J598krfeeotWrVrRr58WfLz55pus\nX7+e77777jLQKJBLxbIsXnttLIsWzQegUaOmDBjw5D9Mt/wtEhkZSWRk5BXfK1IknpSUFPbtewvL\nuhPDWIPIXpT2OIXL9Q6HD/tp06YDycklGDbsBUqUKHHJGMOHD+b118ezYkV/0tMzUI5+Kgq0G4Fd\nWFYUCsgdUVrhPKoQNgALKVIklszMbwkGixAK/Yxyy0HgRL6ZTqOA28P5/UtgF5rNMt95rTVqEbdm\nx44ZeDymc99qZ7xE1KIOAtejYL4VBfelaJB1B5pKagPz0DjCjyiNUQpND/Xi8RymQoX2uavbv/+I\nw8/rZxUK3cjevXMJBuuQR321QJXZ4yiddQSNGXRDFdqXqEKznLkvoHx5KVQp/uA870aUivkJ9ZI0\nblG/fl5R3Zo1a3juueEEAg8DsGHDMO6++3Zmz57n7EEpIBrbNti3bxv79u3H54tl69Y9jB376iU0\n4P33t+HWW2tz7NhxUlJSSEhIACA2NpauXbvw97J27a/4/S1RTwwCgdYkJMzm8cfv4vz581x//cOU\nLl36svtA012ffvqJK75XIH9crgrob9myhbfeeovWrVsze/bs3NdLlSpFr169+Oijj2jfvv0/GaFA\nZs36hB9+OOhYSAZLl75AcvIsOnd+8KrMFwoFGT16GKNGjWP79pdISkrkvvueZ/Hinzh4cDkHDxYn\nGHwdCOfgwdfo3LkHb7wxjOuvv965P4TL5eKZZ/oSDAZp2rQ5IrXRzJCJqBVbBwU4QcEc1Oq9FaU1\nKhMRMYF3332LDRs2sHTpL6xa9QSZmVkogLrQrJXZaA4/aL58AKU+rs/3RCkoBbSGtLSz5HHndwAV\ngJlERkaRnT0ey7oRBfg4tKDpF/RPoxiafih4vV4CgQuoAvjQmRNKlkymU6cHLkklTEpK4MCB1dj2\nZtT6ziQy0kdm5jmnwAtU2WWiXtEBlC75CaWqngMewuttjW2HCIUE9QbCgDdRD6ktqtiqoF7BMbQa\neghgs2TJEKpUWUjz5s346KMvCQS6o5QQ+P0uZs9+G1UWNVFF+bGz1ruA/fj9aRw4cA3jxk1i4MC+\nl3xXkpKSSUpK5rdI8eLxmOZWLKs+AC7XFooVS6BixYpEREQUpGD+F+SqZO/MmjULgD59+lzyerdu\n3YiIiGDGjBlXY9r/KVm1ahN+fxuUt47A72/N6tWb/+PzbN68mZYt29KkyR107dqDxo3rMXnym4wZ\n8wp169Zl0KABlC1blmDwDjSwaAJtsO1IBg58nnnzvuHVV1+nWbPmNGvWnMGDh/Pkk89gGNHAy2i1\n7VrgLdSCnYxyuXOdFWQDa1DLPQ2fz0fhwoVp0KABTz3Vm+LFE505DRTEA6iVPg7D6Ida+4nO/wvy\nPdm3qEeRA+A1UEBbiFIhdXG53Nx99414vYtQS7o8yu+bKN2zE3BhmjkZUSGUh38JzdUvzenTZ4mP\nT7hkT2vXroltb0e9hmrAaU6cOIXbvQ1tJ/GN8/wWqmzCUa8oG61TeAqv18Nzzz1J48YNnVF3Oc8/\nydmD79E/XwvNQlqMVgtfA5TC7+/E998vB3BK9PP/qbucfw2dz/Q+1ON5zhljOBCOZcWxa9d+/h3p\n1q0ThQv/THh4P8LDBxAd/S07dmync+eetGrVlrfffvd3tRAokH9froqlv3r1akzTvKz4R6sTq7J6\n9eqrMe3/lBQvHs/Wrduc9EZwubZRrFiRK167Z89uxo17j/Pn06lb90a6du34m2ig9PR0BgwYRFZW\nB+AwZ88uZtCgN/B4/HTt2oX27e8DoESJ4pjmWizrHhQs1gMXycq6lddfn41l+YDPAJOffnoBkRPY\n9gwUoF5HLdQcYPShVvknaIbNYZTHP4LXO5tHHhkIKFA9+OBDpKVdRK1rNwrgicAF6tevwbFjR9m5\nsxBqkddG4wgznXk2oyDtRVMi16F0SDPU+3CTnR0gKSkJ0zRQeuUE2qqgEnlB4XuxrGuwrGmoVZwT\nC7kBmENWVjrHjx/js8/mkZ5+gUqVrsXtNlCvJqc4Kx6Rd/H7A866olGgvR2NKZRFPYp0Z9wuBAIf\nMnjw64iEnNcGoUqhL0oBxaH02DfA3ZhmBJZ1NPezNYyjeL0G48ZNwO22UKWbQ6lORBXFNyjNdN75\nPYdmMYAkDGMzZcqkYNs2c+Z8xsqVG0lIKMwjj3S8TNH9vZw+fYrp0z/i7Nl0HnywLYUKaZHbJ598\nyfbt12HbXYF0vvqqD1WqVKBevXr/dLwC+c/JVQH9o0ePEh8ff8WUwuTkZJYvX04oFLpiFkiBqHTv\n3ok1a3qRnb0XMJz0t7cuu+748eM88cTTZGU9BKRw7Nj7nD+fztNP97rs2kOHDrFu3ToiIyO4Kx01\nwwAAIABJREFU9db67N+/H9uORukKA7XEGxMMnuT99x+jWrXKVKxYkTZtWrFw4RIOH+6CgvdWNJja\nDMt6ES12Ut7XstqhgBmBguSvqGU6G62MXYPHc5BCheKAdOrXb4ptGxw6tJnk5NtyldWRI0dIS0tD\nreqaaGD1ReACpnmR666rSGpqCjt3pqNW7ufkFWtBTmaIWtCFUVAbjiqHssAD2Pa7TJz4LpbVCeX0\ntzl7UR/DSEAkmryA6o1o3KEmqvi2OP97eOON8QQCTYAkzpz5jvj4TPJSP0GVTwi1oo+ifP0HKBB7\nUeqrNBrMbePc8wIiLZx9vR/9U41CKawVaGqsiXovbSlcOJILF6YTDB7BMGy83h9Yv95m+fK7nGdb\ng3o5YWj7h7XO57QPjWG4cbmmYtvd0SD7dxQrVpTHHx/K2LFvs3Dhdvz+NpjmTlaufILp09/9h9RM\nWloajzzyOBcuNMS2b2DNmo+5//6GdOnSkZEjx2LbA9HvWyzZ2fXZuXNnAej/f5SrgrqZmZm5Zdd/\nLzkZKJmZmcTExFzy3rRpg3N/rlbtNqpVu+1qLO8vIfHxCUyf/i6rVq1CRKhZ85kr/pH9/PPPhEK3\noIAKfn9JFi3qfBnor1+/nmeeGYzILbhcx5kx41NeeKEffv8ZFEyfIc8yLYph1GDfvr1UrFiRsLAw\npk6dwJgxb7JgwQIsy0azTGahILIJpQrAMLZiGBew7TS0CCoFzcAZhubXe3j11eFUr14dUIv+lVdG\ns3nzKdatS2b+/DdITIzm0KF9aHpkjrdYE7VuT2NZrZk4cQG2fQilv7qhXkVOB05QwPegwBqL5o/H\noVkwDwMmllUJl+soedXGFVEFcRyRdPIyiwwU9L9DOXOPM340kOB0Cr0VgFAomZMnX8DtPkMopGOp\nwgpHgb6bM0eqs/b9aApkOhpzyGkTcdL5Pyc1tJKzlh0obZTjyRUGvJw+fRHTDCGyAMOA2NgEjh+/\nEa1zeBL9U++GUliggeAUNJbyNBER73PNNSfZv78rYWFRdOrUnTvvvAuXy8U333yJZc0GYrGs28jO\nPsjy5ctp0iQnE+pS+fHHH8nKqoxt/w0Av/96Pv64B126dKRYsUT27VuDxlaChIWtJynp8n5P/01Z\nv34906Z9QiAQ5O67b+eOO/5c69uw4Qc2bPjhD99/VUA/IiKC06dPX/G97OxsDMO4Ytpmly6Dr8Zy\n/rISFRVFw4YN/+k1brcbw8jK90r2FamdUaPG4/cPQGkH4dixF9i4cSNut0EodA0KiGtQazkD+JXk\n5Dsumefpp/vSvHkzHnusDwpYpVHL9Vu83sOYphfT3Mktt9Rl0aJ2gNtREPcCY3C5plO69EbKlCmD\nbVu4XCb79u1j6dJV+P3vozzyg+zffz/ay+ZZNOMmp23xGXIsf9vuDHRGOfM3UIv5UL4nDkct+mZo\noHQief18ygB+3O71WFY2CraxKPCeQoOaHmfOqc5z/kxebKEpmvESB0zDtvPvvx8w6NXrUT788BNO\nnDjtPEccaqG/jyrDC2gW0Fa0urYs2vahG0q5TEWVcBk0DrICyMTrPeUUKC1CwX8eSm9dxLI+AbxY\n1liOH/8VjWsUdp6tCarYu6BU1g/OvlUEAtj2GHr3fpHy5VUpBAIBRo4cy7JlS7EsizwlA5YFIvlr\nGi4VTTPOn14chm1rBPu55/rSp88AbPtbRE5TuXLqP1Qe/w3ZsmULzzwzBL+/JxDJvn1vY1kWd97Z\n4r+9tFz5e4P4/feH/K77rwroJyUlsX37doLB4GUUz5EjR4iPjy+gdv6AiAifffY5ixf/QnR0BA8/\n3IHbbruNqVNnYlkTsKxUfL6Pad++3WX3pqefJ49yMAgEynD+/HluvbU+S5eOIxR6HAXUong8Z2ne\nvElud8j8MmXKNBRsbkXL90/idhvccUdJvv56Hh5PYZYu/YlXXnmJsmXLsnXrFl59dSgZGWdJSSnP\nqVNnaNXqflwuoVOnB6lUqQJudzH8/nAUfLei1FBh1Ep9GLVOt6GWb47l70Oppgao9f4USjPlfK8u\nkNegLgFVaC5njucBi6JFEzl6FLT/fyqqHK515qiAy/UciYlpnD+/lIsX01DFYqKWe1nn+t3OfHPR\nQrYfADclS5bkttvq8NlnewkG45xraqGxjJw1lkX59MfQnPscJfOeM5cHTRm9BdPsyMCBT1Gv3q38\n8MMSRozIOUPAg3L9DZ09AVVSC1HPYDqqFNY4732AKreGaKC9EWFh66levTzlypXL/ZzHjp3Ajz+e\ncfrgTEFjCu2AnQSDa6hZ88q59QB169Zh8uQPnD1Jxed7n8aNFdjLlCnDhx++x44d24mMjKJChQp/\nqj75X3/9LX5/e3LqOfz+MObMee9PBfr/rlyV3a5ZsyaWZbFy5cpLXs/OzmbDhg3ceOONV2Pa/3mZ\nPn0mkyd/w7ZtrVi1qjq9e/cjPT2NyZPH06KFxS23rKdv3w48+ODl6bDVqlXH45mKAsQBfL4FVKtW\njTZt7qRMmfN4vSOJjY2gY8e6TJr0Ok888ehlY4gIGzZsRIOzd6NBxZKYpov587/HsiaRnf0RmZnP\nMGTIK0RFRVG37i18+eVsFi36lvPnz5KWdjeWFUkwWJ4pU77inXemI3IE7Rb5MMr9h6MHo7TGNKtS\ntux52rRpSlxcYQxjFgqU81EvI4SW6jckvzWqkpGzcpTT34cC1zXUq1eTU6dOo15Izvs+lF6pBAQR\nsSlVqhTBYMAZOxwNQhcDxpIHzlVQD2An6impFRwXVwTD2O+MDZqB4yY8PNz5HHIs4gwU+LejVFOY\nsxdRaB5/FmAQFRWFy+XixIkzeDyV0eD5p2j76fVoJk8GSnW9hGYzvYwqk8GoEjXRDJ/OmOZZ2rTJ\npk+fO3n55ecvqZ355ZeVDuDjXG+j3tJeIEhUlNZ7HDhwgK+//pply5Y5HgEUK1acceNGU6PGWkqV\neo/77qtOnz6P5Y4dExPDTTfVpFKlSn8qwAcwTReXFvkF/nRr/Hflqpjb7dq1Y/jw4YwZM4Zbbsmr\nanz33XfJysqiQ4cOV2Pa/3n5/PNvyM5+mZwsC7//GN9/v4TOnTvz5JOP/9N7Bw7szeDBr7Ju3Z14\nPOH06NGdU6dO8frrE3G5amGaWVSqlEKXLp3/ycEXOQ3L8vfs8VKxYll27fIQCFzjvFaTUMhk0aJF\nfPDBp2RlXeSGG6qTmelHi6M6okrDYt++frRp04zZsz8mFOqCHpJiAwMwzR4UKpTN6NFvExMTS6tW\nrRky5FX27p1BMCgoxTQEBbLz5Of0ixdP5vjx19G8+wPOqzcA23G7j+PxJOJypaL0yN9QS99CT+ea\njcdzhMTEVFau3E8w2BcF6DdRL6Aamn2zDbWkN6J58wnAXEqVSiUUClKkSBGio03OnMnpinmSm2+u\nyXXXVWTKlGFoodce1PIug54H0AENOOdY3eeBvyESz9Chk0lImEZiYhLBYAPyd9j0eldhWQ84dQCF\n0BgEznqj0JYXt6Ee1BG83p48/HA32rZtdcXPOjIyivPnjzhr24nWBBwB1lKmTAU8Hi+//PILQ4eO\nBG7G5TpA2bJf8cYbr2CaJqVLl2b06JcJBoNcuHCBv0ot5r33tmDx4qfIzvYCUfh8U+nYsee/vO+v\nJFcF9CtXrsxjjz3GuHHjaN26NXfccQfbtm3jrbfe4rbbbuOBBx64GtP+z4vLZZB3+AUYhoVh/DYr\nRDskvoRt2xiGwciRb7BgwXzUeisDBNmw4W+sXbuGm25SCiUtLY2NGzcSFhZG9erV8Xg81KvXkOXL\nX3L6oezC691Ax46DeeaZl9EskJ+Bi4RC6Ywd+y6BwLNAEj/9NI5g0I8CR047BZNg8AaCwXSioyM4\nd656zpMCN1ClyhpeemkwUVFR7N69m5Ejx3HmzGnq1KnHmTNn2Lo1GdvuhXocD6FUiEp0dDjHjx9D\ni5bKoFk4E4DDiESzdOlyp7WwH+XWdT0uVwolS57g5ptv4aefVhMMNkMBG1QxbEAzaAzUuo5CgXGO\ns89egsEE+vUbSF4MwI3SSlGsWLGedevWoSC6AgXo7ajHAXnWf474gBRseyJZWXD06GgyMtZimgEs\nqzFaR/ATtWvfSLt2dzN69Fj27DlIXizkJBpDmOo8pwV0pUePVrRs2fKS74iIsGDBQn75ZS0pKYmc\nOjWCQMBA00krAmAYz3Hbbfrzyy+Pwu9/CfV0LHbt6sPSpT/SoIHGoZYuXcqwYSMBk/BwHyNHvkS5\ncuU5ceIEW7ZsISYmhho1avxDI8O2LY4cOYLX66Vo0WL/X6r4y5Qpy9ixrzFr1mf4/SHuuqsvtWvX\n/tc3/oXkqhHrY8aMITU1lUmTJvHNN9+QkJBAr169GDp06NWa8n9e7r+/FVOmvITf3wk4gc+3mMaN\n3/5dY7hcLubNm8eCBTkHjuTkZnsQKe2c6Qr79+/niSeexrLKAmkkJr7P+PGjefbZp5gwYQqrV79B\n4cKF6NPnDcqUKUPDhnVYsGAEWlFqY9ursay8M1ADgd74fH8jEMhGZC5KZ2RgGAv58UchMjKK9PS5\nWNYTwAXCwr7jzjvbExUVxZkzZ+jduz+Zmd2ASvz888eIbMe2+6AK4nWgJx7P0lzHfNeuoygvuxSl\nZSaidFBXLOs64CAu13iUnlmABnyPY5rbaNWqG263ide7AQXNCs6oCSif/4rzewYa0M3CNItjWYfI\nzEzl4sXSqCLICdZ2R8H/Q+AigcAJ9NzbnDqCAWgKZi3UGh/q7M8x9HSsR8nJsQ+Fbubs2Y1o0Po+\nTDMctzuLuLhGXHNNKu+88zYPPdSTgwe7oGCc0/45p4LWxDCucSimS2Xq1Ol88smP+P33YZp7iYz0\nYVkZWFbewSYuVzIul4tt27aSlZVG3rkEJn5/au7358SJ4wwfPppA4HWgHIHAD/Tr9zyDBg3k+eeH\nYhjVgMNUqlSckSOHXtZE8Pz58/TuPYCTJ9Ow7Wxq1bqJwYMHcu7cedatW4fP56NWrVr/MEvw35Fy\n5crx4osD/+Pj/lnkqoG+y+Wib9++9O3b919fXCC/Sdq0aUVMTDTff/8TUVERdO48lsTERESEkydP\nYhgGCQkJ/9IiWr58HdqJcSGadnk/2hdnNRUrdgLgtdfGk5HRgRzO+/DhwXz66Wd06PAAvXv3uGzM\n48fPowdxaABMZCNaLDUUzdWPIizMx2uvvcBLL73GuXOLCIWyEKnGqVPt8XonER29kosXF2HbQe68\ns1Vu5tKGDRsQqYym+UEo9BRKjWwgp+kZRJKYWJyDuSvKOVilEkqhnMM0Ix3AB01XDKdNm8b88MMv\nnD69GI/HR4sWzZgyZTrZ2SaWle7cewy1kLejCuQ0asVbKPg+h2XtApYg0gUF6Oooj16LvD+zWmjW\nTQ+0zuFh1PsY7hx+0hu320XJkimcPPkqFy960eD0BjTDB1RB1Uc7oPbEskJYVge+/no9GzY8zaRJ\nbzJt2kSmTJnCzJlfIjIYeBfNAOoIbMPlWk/lypfGbESEjz/+hEDgPaAYlgV+/0muvTaNvXvzDjZx\nu7+lVq1R/PDDUmfv30dbKR9AZAmVK48GYM+evZhmefRUsWVADfx+m2HDRpGd/ayzFxZbtvTm+++X\ncPvtl54yNmrUOI4cuR7L6gkEWLVqAJMnT+GLLxY47aPTiI//gIkTxxY0cPydUpBC8xcSwzBo2rQJ\nTZvmpbhlZ2fRr98gdu7cA9hUqXIdw4e/eNlxifmlRImiaHHOEBSYpgAmjzzycG5XxVOnTpLXy8Yg\nEKjCkSOHmT37U1au3EjRonE8/HBHihTRKmEN4uWfs5oz7m1o0HMrWVljSEhIYOrUt5k5cxYffZSO\nbWsWSCAwCNPsyZtvjmLPnj1kZmaya9cuypUrx65dO8nKWoMqlES0iCmbiIgp+P3fYVlngAgOHmzg\nzAlafTsHVW4JuN2LELHQqttiwH5sO4t5877l2Wf74fOFYZomY8a8TXp6HTQwnI1a4Dl70QLtj3PB\nmWMlppnodCYNoFSP4fycY0lvRhWAgWYmxZOXZXMAGI3X25uRIwdQtmyZ3EPAu3Z9nIsXc/LqX0Tp\nIAvNnHoBpYuOoIFcH8FgM44f78aWLVvYsGETs2Z9hYgPTdOMQOsqPsY0wxkyZCDJyZf3ztG0yjxq\nSSScypUTOHDgR6A7Xm8YAwb0pkyZsqxatRrTLINlbXM+l3CiosJzUz5jY2PJzNyKekNRwBgsK9Np\nxFfZmcEkGKx4xfTu3bv3YlnPOPvmw++vz7x5n5CZ+RCqAIXjx4czZ86ndOrU8bL7C+QfSwHo/8Vl\n0qRp7NwZQyAwG7DZvHkI06fP5JFHuvzDezp37sjXX3cmI+NZcop7qlSpzH33tc295rrrKvLzz585\nQcwMfL6FnDhRhO+/34Xf3xrT3MXKlY8zbdokoqOjad26GTt3vo3f7wYsvN4PnIMznkSt4kREFtOh\nw4OIGHg8PkTq5FtVNllZ2fTo8TSG4cXlqoNpzqJjx1bMnbsIDbBOdNZbB9PMokIFH+vWrUIzVGo6\n8+Q0pEtAs17G43IJVatWJCYmliVLRjnvpQGdCIVWsnXrVm66qabDIR9E89rHoTn7FmqtJqL9blag\nnkVZoC6WtQrtcW+jnsAraD0BKLhvc9bncq65Fz3ApRSa7tkEr1fbk+SXUqVKcujQMizremAYHs+z\n1KwZxs8/b3TGPEleewoAF4bhY968hXz33a/Y9pNoi4vPgFpUrHic/v17kZJyzRU5dMMwaNSoCT/8\n8BJ+f0dgL6a5gq++svH79aQyy/qYjz/+ggYNGtCiRXPmzPmKtLTrsKwH8Hq/oV+/vGSCH35YimHc\nhMggFLhnkZy8lIiICHbs+Ajbfgg4gWn+SKVKz1+2npSUEpw+/TOWdS0QwutdSSjkJ49qMwgGy3P8\n+OHL7i2Qfy7/W7lI/wdl48ZtBAI5pxB5CAQas3Xr7n96T1hYOJ9+OoN27WpSp044PXs+xJgxIy6h\nhZ5++nHKlTuBad6Jad5H8+Y12LhxHX7/cKAhlvU3srJKs2LFCgDq16/PgAGPUqLE+8TFvcNtt92E\nYstZZ0SbYPAYtt0UkSIEAp0RWYHSG/PQo/s6AV8gUhvLMggERjB9+odYVkMUOC6gnkkzLGsEmzdv\ndQCsMuq5dM5df8mSG4iK2ovXayCSyNq1MSxbtgYFypZowdR15FXcwowZHzv8dbozyhNogDgc5fJX\nkNNdUy3/Nmix0+co914UpZNGAgMwDJPOndtTtWqqM28AtcxzgrtHcbmeolq1Spc1Hevd+1ESEzcS\nHt6FsLCOlCtn06BBfTyeKDSL6C1UeY1Es4cm4vWe46efVmDbw1AP60FyivG2b9/LkSNH/2n64dNP\n96JVq0qkpr5LjRpr6dixHS5XdZROSsCyerJ79zb279/H008/z7lzaVjWElyu2XTo0JJbb9VOmjt2\n7GDu3HmI5Hg4ANUIBi2GDn2GlJQ1GEYzoAOBwHkmTJhKenra363lceLiFhMR0Z2wsM5UrCjcfHNt\nPJ6P0JTKs/h833DDDVUokN8nBZb+f0gOHz7Mq6++ydGjxyhf/lr69+9FoUKF/vWNf1BEhNGj32L/\n/n1oxowGTN3ulaSm/uu2t16vl0cfvTwXP0ciI6MYN24UGRkZeDwePB43X3yhTdXy1uDOrbQEOHPm\nHKdOZeD3t+CHH3YTFVWY7Own8fubYJqbsawAGlgciNI/twJDCA//nqysWug5tKA0ylgghWAwG7d7\nJZof7yPPTjExDDcNGzZmyZJuWFZOVa2K359FMJhNIBCLti92EQrdDLyG2z2PUKgehnEcj+cwlSq1\nIy3tPJs2/YpSKaNQsI93/jVAAb8sSrOcQZVVURR4hfDwMLKyTqF59S4gAZHqnDt3lgoVyrFx4xY0\nDbMaWii1C6iGbVdk9erPmTr1A3w+LzNmzCQUCtKgQSMmTXqTQ4cOsXv3Li5cyGDDhg0YxvVoP6HG\nqMcwDXgXw7hI69bN+eijuVxqyxnAOkRu5/XXJ1C3bl1A6bjly5eTnp5OlSpVKFmyJG63m+7dH6J7\n94cAWLFiORo7yWkNcRoQ+vd/kVOnAqiSbott7+HDD/tx6623kpqayvDhb2BZt6K1FA2BMExzDtdf\nX5H4+Hi6devIkCHjCATeAOLZtWscw4e/wYgRg3NXXbRoUT74YDK7du3C6/VStmxZ/H4/588PY/36\n5hiGQZs2D/zLivUCuVwKQP8/IBcvZvD440+RlnYfcCOrVn1N377PMnnyuKtW2PHLLz+zePEGbHsS\nOYelG4af5ORoHn541O8e7/DhwyxYsBDLsmnS5HZKlSoFcMkBGo0aNWXp0hfx+9thGDvxeLZSq5b2\ntRcRJk16l2CwNDCXQCAVwyhKy5aVMAw/p07FsmxZkEAgnTzuvxhQk+Tklezbd8Fp2eBCu28WA3pg\nGKmEQlXR7pkh9NSoW/B4FpKaWoJg0HKUiaDW98cAnDx5Ck21LE4eCBYBLEKhQ8AsIiMLUaNGNcaP\nfw+324VheJy1hZNH6YCCfBrKJXucMWugHP1RoAh+vx9ViAdQCsLC7T7IokUbyMoKOWN2ca6phgY3\nHwBS8PvrMHNmR0wzgUBgAhDFokUv8uOP7ahSpQKbN+/Htm/F5dpBMHgUPYsgAaWHegMBfL6eREZG\nUaRIApmZfRBpiCrBBahHU4uLFxcB2iahV6/+7Nlz2nmWd3j55edyU3Vz5KabapKaOpu9ewfg91fA\n51vMXXfdy9df/+TsT1tUqZQFqrNjx3ZSU1M5deoEWhz2MXrIukFsbDzJyXewYMEC9u7dRyDQzPmM\ntUnfli16WMqqVauYP38JERE+7r77DooXL05cXBwul4vw8HBGjXqZYDCAaZq/+9jQAlEpAP3/gGzb\ntp1gsDg5HRIt6zGOHGnNmTNnck8W+k/LwYMHCQZvQoFpArAel2sQ77477TcfmJ4j+/fvo2fPJ8nO\nboaIm88/78Prr4+gYsWKl1zXv38fihefyapVH5OQEEePHmNzvZns7GynYKoBasF/j98/i7NnixMe\nHsWmTXuw7fMYhoXIcLSj51lMczZ791rY9n7yDgo/DGQ7nS5noEDcAcPoQNWqhzh37h0qVChD7dqt\nGDFiKuoB1CInl1xFnPHeRcG5BGp5+tCWAl4uXvyAZcs2INIebYyW0+e+FmpF10apnr1oMPQIGli1\n0UZpB1BAfRLbNp1x3wPK4XafA9LIyvKjXoMeF6hikMfxA0RiWUEsqzV5qZWVCAS2sXbtEfSwlepo\nMLULpvk8WVmZwIu43UUwzRDXXZfKu+++T1ZWTpHYJLS1Q0lnzJdzTzr79NNP2bZtB1q/cAJI5pln\nXuarrz6+JJXTNE3Gjn2VBQsWcOrUaapU6UNKyjV88cUC5zPZjaZsBjCMPRQpogfjlCtXgV9/nYtl\nPQa0wu1+nPT0C7z//hlMcxORkUfwepMIBGxnL+ZgmjBx4gTmzl1MINARWMq8eY/j8URQvHgxXn99\nOPHxev6yx/OPkxQK5F+LIX+SEwwMw1C6tkAKpEAKpEB+uwzmspjQP5OCQG6BFEiBFMj/JZE/ifyJ\nlvKHJDs7W954Y4w8+mgvmTZtmti2fdXmCoVCMn/+fJkxY4b8+OOPsnbtWrl48eIfHm/mzFkSEVFG\n4BeB1RIRUVnGjZsgIiIffjhTIiISxTCekbCwe+Xaa6tKRkbGZWPYti1t23aWyMhaAoMFKgp0ExDn\n30MCEwXeEtNMlDffHC8DBgwQuD/fNWkC4QJFxeNJkHfeeUdKlCgvbneYVKt2i8TFpQo8JmAJnBEo\nJx5PpHPPCIFYYTD6jwwxjDslKqqNhIXdLdBCXK6nBFoItBY478z5nUBbgZ4CzQRWCpwUGCJe790y\nYcI2GTp0qXPfHQIPO9dvFrhd4G6BhgKtBBpL3bpD5PvvbVmyRKRnz0/F671X4D6BBuLx3C1jx26U\nJUtEZs1aIiIiX3zxhURFVRW4IOAWGC9ws0C0wA5njasEwiQp6VqZPHmyREdXErCd9yyJjEwVny9K\nIM7Z468FyjpjzBXIFAgTaJpvr/cJRDn7cL3Ag1KtWj0REUlPT5datRpKeHiihIcXlcaN75Hs7Ow/\n9N3y+/0SGVnc+S4sFOiknxPfiNvtk5iYG/KtSQRSnGvqCgSc196XSpVq/aH5/y/I78XOPw3S/tVB\n//+XhEIhadToLomKqibR0e0kIiJeFi1a9G+P+/bbEyUl5TpJTq4gI0aMylVa8fEpDhCKgC0REXfJ\npEmTrjiGZVkyffp0uf/+B8QwYgSGOAC9yQGkRwTiBcbIjTc2kjVr1ojbHS+wyxn/RoGWAr8KfCBR\nUQmyf//+3PE9niIC2/MBxEiBKlK3biOJiUkSSM4H+iLh4Y9KyZIPi9d7tyQkdJJ27SZIw4ZDxe0e\nmW+MoMBtUrhwR4H3BLoI3CvQVypUeEpmzz4pbvedAl0F2gg84ADmvc7P0wQeFWgu8J34fPfJ5Mm7\nZckSkS+/TJfy5XuLy9VYwsNbyqBBi2XJErkE9G3blvbtH5LIyFQxzRICDwqUErjOUWbXCRQSw0iW\nl156Rfx+v5QvX0M8nsed+R6RSpVukoiIkgLLBco7ex3rjBMh4HXG6pTvuS8ImAI+cbuvk8jIeFm1\napWIiHTv3kt8vo4CIQG/hIffKYMGvfSHvlerVq2SqKiKlygpSBZYKl5vpBQpUlIMY5LAaTGMNyU6\nuphUqlRbYmJKSFjYtRIb21hi/x97Vx0d1fV195s3+mZixAkOwd0pTpHgUpzyoxQJToumUKy4SykF\nipVixa20pJRAkeLu7lKChEAmmczM/v64k0nShCAlLf2YvVbWSt679iTn3XvuPvt4BPDIkSNv1P/7\nAJfR/3+O5cuX02gs5zBWJPAr/f1zpFt/er07gQdOY6HRfMYJEyakWefw4cM0GDIRKE0YKJg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c24fv2sU9EzODgXVKqfHOWtEK6EzBA5bXNA5KstDZUqBABhtV6GxXIRwDcQ7gaBP/74A1qtBuIV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\n3MUhz3ATQ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69llSrDqdM1oEo11+H7r0WhnR/i+FmbxN/eg+XLD3Yoea4kcI6y/DXz5+/D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\nhBCiQ6joE0KIDqGiTwghOoSKPiGE6BAq+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} ], "prompt_number": 13 }, { "cell_type": "markdown", "metadata": {}, "source": [ "\u00bfY como podemos controlar el texto b\u00e1sico sobre el gr\u00e1fico? Hay muchas formas de meter texto y controlar las etiquetas de forma b\u00e1sica y sencilla. En algunos momentos hemos visto `plt.legend()`, tambi\u00e9n existe `plt.figlegend()`. Yo siempre uso `plt.legend()` el 100% de las veces. Para usos avanzados pod\u00e9is mirar [este enlace](http://stackoverflow.com/a/4701285) y este [otro enlace](http://matplotlib.sourceforge.net/users/legend_guide.html). Si queremos poner un t\u00edtulo al gr\u00e1fico podemos usar `plt.title()` y `plt.suptitle()`. Si queremos poner t\u00edtulo a los ejes podemos usar `plt.xlabel()` y `plt.ylabel()` para los ejes x e y, respectivamente. Por \u00faltimo, para controlar los valores de las etiquetas que se ponen sobre los ejes dispones de `plt.locator_params()`, `plt.minorticks_on()`, `plt.minorticks_off()`, `plt.tick_params()`, `plt.tick_label_format()`, `plt.xticks()` y `plt.yticks()`. Vamos a manejar la mayor parte de estas funciones mediante un ejemplo para que se vea m\u00e1s claro su uso. Imaginemos que queremos representar el valor medio diario de una variable durante un a\u00f1o, en el eje x queremos que aparezca solo los meses en el d\u00eda del a\u00f1o en que empieza el mes." ] }, { "cell_type": "code", "collapsed": false, "input": [ "import calendar\n", "dias = [np.array(calendar.mdays)[0:i].sum() + 1 for i in np.arange(12)+1] # Para generar el lugar del primer d\u00edas de cada mes en un a\u00f1o\n", "meses = calendar.month_name[1:13] # Creamos una lista con los nombres de los meses\n", "plt.axes([0.1,0.2,0.8,0.65])\n", "plt.plot(np.arange(1,366), np.random.rand(365), label = 'valores al azar') # Creamos un plot con 365 valores\n", "plt.xlim(-5,370) # Los valores del eje y variar\u00e1n entre -5 y 370\n", "plt.ylim(0,1.2) # Los valores del eje y variar\u00e1n entre 0 y 1.2\n", "plt.legend() # Creamos la caja con la leyenda\n", "plt.title(u'Ejemplo de t\u00edtulo') # Ponemos un t\u00edtulo\n", "plt.suptitle(u'Ejemplo de t\u00edtulo superior') # Ponemos un t\u00edtulo superior\n", "plt.minorticks_on() # Pedimos que se vean subrrayas de divisi\u00f3n en los ejes\n", "plt.xticks(dias, meses, size = 'small', color = 'b', rotation = 45) # Colocamos las etiquetas, meses, en las posiciones, dias, con color azul y rotadas 45\u00ba\n", "plt.xlabel(u't (d\u00edas)')\n", "plt.ylabel('Media diaria')" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 14, "text": [ "" ] }, { "output_type": "display_data", "png": 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LbFJSEhkMBpv+TZ48mapUqWLJv2zZMsv1zZs3U+PGjcnb25siIyNp6tSpdPz4cVUuzERm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Py9BQu8XXv3MpYrF2OFCkFdI/9+o7F6NfpZkSKM/d//4ZhRn7GC77/Hu/V4tEzp6en+lekEq1cz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\nOG8sWYLfD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PfcA1VPICQZjtdfR7+qVUszcvN38dNPWIy1aWO8xS8//9w5LA48Hm0HT8a8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\notRUjPe33iLavh3n2qk/NZVo1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} ], "prompt_number": 14 }, { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "Tipos de gr\u00e1fico (I)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Hasta ahora hemos visto como configurar las ventanas, manejo de las mismas, definir \u00e1reas de gr\u00e1fico,\u2026 Ahora vamos a ir viendo los diferentes tipos de gr\u00e1ficos que existen.\n", "\n", "Como hab\u00e9is podido comprobar, en los ejemplos anteriores hemos estado viendo mucho `plt.plot()` que es lo que se suele usar para dibujar un gr\u00e1fico simple de l\u00edneas representando los valores (x, f(x)). Ahora vamos a ver un ejemplo explicado para que ve\u00e1is todas las posibilidades de `plt.plot()`." ] }, { "cell_type": "code", "collapsed": false, "input": [ "x = np.arange(100) # Valores de x\n", "y = np.random.rand(100) # Valores de y\n", "plt.plot(x,y, color = 'black', label = '(x, f(x)') # Dibujamos la evoluci\u00f3n de f(x), frente a x\n", "plt.plot(x[y > 0.9], y[y > 0.9], 'bo', label = 'f(x) > 0.9') # Destacamos los valores por encima de 0.9 coloc\u00e1ndoles un marcador circular azul\n", "plt.axhspan(0.9, 1, alpha = 0.1) # Colocamos una banda de color para los valores f(x) > 0.9\n", "plt.ylim(0,1.2) # Limitamos el eje x\n", "plt.legend() # Colocamos la leyenda\n", "plt.title(u'Representaci\u00f3n de (x, f(x))') # Colocamos el t\u00edtulo del gr\u00e1fico\n", "plt.xlabel('valores x') # Colocamos la etiqueta en el eje x\n", "plt.ylabel('valores f(x)') # Colocamos la etiqueta en el eje y" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 15, "text": [ "" ] }, { "output_type": "display_data", "png": 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D3r174/Xr13apJx96ffXqVZ3npKamIi4uDkSEJUuWYM2aNahatSp+++03LFu2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} ], "prompt_number": 15 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Este es el tipo de gr\u00e1fico que suelo usar un 75% de las veces. Tipos de gr\u00e1fico an\u00e1logos a este son `plt.plot_date()`, que es similar a `plt.plot()` considerando uno o ambos ejes como fechas, y `plt.plotfile()`, que dibuja directamente desde los datos de un fichero.\n", "\n", "Otro tipo de gr\u00e1fico ser\u00eda el que podemos obtener con `plt.stem()`. Dibuja l\u00edneas verticales desde una l\u00ednea base. Imaginaros, por ejemplo, que ten\u00e9is una serie temporal, la normalizamos (rest\u00e1ndole su media y dividiendo por su desviaci\u00f3n est\u00e1ndar) de forma que nos queda una serie de media 0 y desviaci\u00f3n est\u00e1ndar 1. Esta nueva serie la podemos representar con `plt.stem()` donde la l\u00ednea horizontal ser\u00eda el valor medio (en este caso la media ser\u00eda 0, recuerda que la hemos normalizado la serie) y las l\u00edneas verticales ser\u00eda lo que se desv\u00eda el valor individual respecto de la media de la serie. Vamos a ver un ejemplo con los valores por encima de la media en verde y los valores por debajo de la media en rojo." ] }, { "cell_type": "code", "collapsed": false, "input": [ "x = np.arange(25) + 1 # Valores de x\n", "y = np.random.rand(25) * 10. # Valores de y\n", "y_norm = (y - y.mean()) / y.std() # Valores de y normalizados. Esta nueva serie tiene media 0 y desvicaci\u00f3n est\u00e1ndar 1 (comprobadlo como ejercicio)\n", "plt.xlim(np.min(x) - 1, np.max(x) + 1) # Colocamos los l\u00edmites del eje x\n", "plt.ylim(np.min(y_norm)-1, np.max(y_norm)+1) # Colocamos los l\u00edmites del eje y\n", "plt.stem(x[y_norm > 0],y_norm[y_norm > 0], linefmt='k-.', markerfmt='go', basefmt='b-') # Dibujamos los valores por encima de la media\n", "plt.stem(x[y_norm < 0],y_norm[y_norm < 0], linefmt='k-.', markerfmt='ro', basefmt='b-') # Dibujamos los valores por debajo de la media\n", "plt.title(u'Representaci\u00f3n de (x, f(x))') # Colocamos el t\u00edtulo del gr\u00e1fico\n", "plt.xlabel('valores x') # Colocamos la etiqueta en el eje x\n", "plt.ylabel('valores f(x)') # Colocamos la etiqueta en el eje y" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 16, "text": [ "" ] }, { "output_type": "display_data", "png": 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ZWQgMDMTXX39dqopzQ+AnDcYY053enjQUQkNDUbNmTWRlZQEAevToYXYJgzHG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\nvsKMGTNw9uxZlUcYxc9cEc4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iHj16qExfsGABCSFo7dq1JorMeO7evatx+sSJE0kIQZ9+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\n" } ], "prompt_number": 16 }, { "cell_type": "markdown", "metadata": {}, "source": [ "En algunos casos, nos interesa ver cuando una serie est\u00e1 por encima o por debajo de la otra. Eso, con un gr\u00e1fico tipo `plt.plot()` lo podemos hacer sin problemas, pero nos gustar\u00eda resaltarlo visualmente de forma sencilla. Para ello podemos usar `plt.fill_between()`. Imaginemos un ejemplo donde tenemos dos series temporales y queremos localizar f\u00e1cilmente cuando la primera est\u00e1 por encima de la segunda y cuando est\u00e1 por debajo." ] }, { "cell_type": "code", "collapsed": false, "input": [ "x = np.arange(25) + 1 # Valores de x\n", "y1 = np.random.rand(25) * 10. # Valores de y1\n", "y2 = np.random.rand(25) * 10. # Valores de y2\n", "plt.xlim(np.min(x) - 1, np.max(x) + 1) # Colocamos los l\u00edmites del eje x\n", "plt.ylim(np.min([y1, y2])-1, np.max([y1, y2])+1) # Colocamos los l\u00edmites del eje y\n", "plt.plot(x, y1, 'k-', linewidth = 2, label = 'Serie 1') # Dibujamos los valores de (x,y1) con una l\u00ednea cont\u00ednua\n", "plt.plot(x, y2, 'k-.', linewidth = 2, label = 'Serie 2') # Dibujamos los valores de (x,y2) con una l\u00ednea de punto y raya\n", "plt.fill_between(x, y1, y2, where = (y1 < y2), color = 'g', interpolate = True) # Pinta pol\u00edgonos color verde entre las l\u00edneas cuando y1 < y2 \n", "plt.fill_between(x, y1, y2, where = (y1 > y2), color = 'r', interpolate = True) # Pinta pol\u00edgonos color rojo entre las l\u00edneas cuando y1 > y2\n", "plt.legend()\n", "plt.title('Ejemplo de plt.fill_between()') # Colocamos el t\u00edtulo del gr\u00e1fico\n", "plt.xlabel('valores x') # Colocamos la etiqueta en el eje x\n", "plt.ylabel('valores y') # Colocamos la etiqueta en el eje y" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 17, "text": [ "" ] }, { "output_type": "display_data", "png": 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a8Hfs2IFz584BkBvjY2JizI5wNwVeWZiB6jIUAAyDQlns3YtVP/1UZVkhlaSl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\ni4sFY4yxsrhYMMYYK4uLBWOMsbL+A/WxpazjwLN3AAAAAElFTkSuQmCC\n" } ], "prompt_number": 17 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Recordad que usamos valores aleatorios para y1 e y2 por lo que si us\u00e1is ese c\u00f3digo no os tiene porque dar lo mismo. Como veis, cuando los valores de y2 son mayores que los de y1 dibuja pol\u00edgonos verdes, en caso contrario dibuja pol\u00edgonos rojos. Algo parecido pero para el eje y en lugar de para el eje x lo podemos hacer usando `plt.fill_betweenx()`. Tambi\u00e9n podemos dibujar el pol\u00edgono que queramos sobre el gr\u00e1fico usando `plt.fill()`. Veamos una \u2018ki-cutrez\u2019 usando `plt.fill()`:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "s1x = [0.3,0.3,0.7,0.7,0.5,0.5,1,1,0.7,0.7]\n", "s1y = [0.5,1.4,1.4,1.5,1.5,1.9,1.9,1.1,1.1,0.5]\n", "o1x = [0.6,0.6,0.7,0.7]\n", "o1y = [1.7,1.8,1.8,1.7]\n", "s2x = [0.8,0.8,1.1,1.1,1.5,1.5,1.1,1.1,1.3,1.3]\n", "s2y = [0.2,1,1,1.6,1.6,0.7,0.7,0.6,0.6,0.2]\n", "o2x = [1.1,1.1,1.2,1.2]\n", "o2y = [0.3,0.4,0.4,0.3]\n", "plt.fill(s1x, s1y, color = 'b')\n", "plt.fill(o1x,o1y, color = 'w')\n", "plt.fill(s2x, s2y, color = 'g')\n", "plt.fill(o2x,o2y, color = 'w')\n", "plt.title(u'S\u00edmbolo de python cutre')\n", "plt.ylim(0.1,2)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 18, "text": [ "(0.1, 2)" ] }, { "output_type": "display_data", "png": 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} ], "prompt_number": 18 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Y ya, lo \u00faltimo que vamos a ver hoy es un diagrama de caja-bigote (*box plot* o *box-whisker diagram*). Este es un diagrama donde se puede ver un resumen de una serie de forma r\u00e1pida y sencilla. En \u00e9l se representa el primer cuartil y el tercer cuartil, que son los extremos de la caja, el valor de la mediana (o segundo cuartil), que se representa mediante una l\u00ednea dentro de la caja, y los extremos de la serie que no se consideran an\u00f3malos, los llamados 'bigotes', que son los valores extremos que est\u00e1n dentro del rango de 1.5 veces el rango intercuart\u00edlico (IQR por sus siglas en ingl\u00e9s, *Inter Quartil Range*). Los valores que quedan fuera de este rango que definamos, que como hemos comentado suele ser 1.5xIQR, se consideran valores an\u00f3malos u 'outliers' y se representan como puntos fuera de los bigotes. Por tanto, imaginemos que estamos representando la altura de las mujeres que viven en Espa\u00f1a, las mujeres que viven en Alemania y las mujeres que viven en Tailandia. Con un diagrama de caja-bigote podemos ver r\u00e1pidamente como se distribuyen cada uno de estos conjuntos de datos y podemos compararlos visualmente entre ellos." ] }, { "cell_type": "code", "collapsed": false, "input": [ "alt_esp = np.random.randn(100)+165 + np.random.randn(100) * 10 # Creamos unos valores para la altura de 100 espa\u00f1olas\n", "alt_ale = np.random.randn(100)+172 + np.random.randn(100) * 12 # Creamos unos valores para la altura de 100 alemanas\n", "alt_tai = np.random.randn(100)+159 + np.random.randn(100) * 9 # Creamos unos valores para la altura de 100 tailandesas\n", "plt.boxplot([alt_esp, alt_ale, alt_tai], sym = 'ko', whis = 1.5) # El valor por defecto para los bigotes es 1.5*IQR pero lo escribimos expl\u00edcitamente\n", "plt.xticks([1,2,3], ['Esp', 'Ale', 'Tai'], size = 'small', color = 'k') # Colocamos las etiquetas para cada distribuci\u00f3n\n", "plt.ylabel(u'Altura (cm)')" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 19, "text": [ "" ] }, { "output_type": "display_data", "png": 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} ], "prompt_number": 19 }, { "cell_type": "markdown", "metadata": {}, "source": [ "[TODO ESTE COMENTARIO ES PARA COMENTAR EL GR\u00c1FICO, CUALQUIER PARECIDO CON LA REALIDAD SER\u00cdA MUY RARUNO Y HABR\u00cdA QUE LLAMAR A [FRIKER JIM\u00c9NEZ](http://www.frikipedia.es/friki/Iker_Jim%C3%A9nez)] \n", "\n", "Vemos como las alemanas presentan alturas superiores y las tailandesas son las que, en general, mostrar\u00edan alturas inferiores. En las alemanas hay algunas mujeres que quedan por encima de lo que hemos considerado como valores normales llegando a alturas por encima de los 200 cm. Las espa\u00f1olas se encontrar\u00edan entre unas alturas de unos 140 cm y unos 190 cm." ] }, { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "Tipos de gr\u00e1fico (II)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Hasta ahora hemos visto como configurar las ventanas, manejo de las mismas, definir \u00e1reas de gr\u00e1fico, algunos tipos de gr\u00e1ficos\u2026 Ahora vamos a continuar viendo tipos de gr\u00e1ficos disponibles desde `matplotlib.pyplot`. En este caso nos vamos a centrar en los gr\u00e1ficos de barras.\n", "\n", "Para dibujar un [histograma](http://es.wikipedia.org/wiki/Histograma) podemos hacer uso de `plt.hist`. Un histograma suele ser un gr\u00e1fico de barras donde se representa la ocurrencia de datos (frecuencia) en intervalos definidos. Lo que hace `plt.hist` es dibujar el histograma de un vector en funci\u00f3n del n\u00famero de intervalos (*bins*) que definamos. Como siempre, vamos a ver esto con un ejemplo de c\u00f3digo a continuaci\u00f3n. El resultado ser\u00eda el siguiente, donde se representa el c\u00e1lculo que har\u00eda la funci\u00f3n [`np.histogram`](http://docs.scipy.org/doc/numpy/reference/generated/numpy.histogram.html) gr\u00e1ficamente y en un solo paso:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "x = np.random.randn(10000) # Definimos un vector de n\u00fameros aleatorios de una distribuci\u00f3n normal\n", "plt.hist(x, bins = 20) # Dibuja un histograma dividiendo el vector x en 20 intervalos del mismo ancho" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 20, "text": [ "(array([ 3, 11, 28, 73, 161, 343, 563, 948, 1276, 1468, 1488,\n", " 1302, 988, 659, 364, 185, 83, 39, 15, 3]),\n", " array([-3.7780182 , -3.40330057, -3.02858294, -2.6538653 , -2.27914767,\n", " -1.90443004, -1.52971241, -1.15499478, -0.78027715, -0.40555952,\n", " -0.03084188, 0.34387575, 0.71859338, 1.09331101, 1.46802864,\n", " 1.84274627, 2.2174639 , 2.59218154, 2.96689917, 3.3416168 ,\n", " 3.71633443]),\n", " )" ] }, { "output_type": "display_data", "png": 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q2biZmZkoLCxEamoqkpKSUF9fD5PJhPj4eBw6dMhpLZIkwU2bRW6m0wWjre37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\nLm655Rbxz//8z2Lv3r3CbDa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} ], "prompt_number": 20 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Pod\u00e9is jugar tambi\u00e9n con [`np.histogram2d`](http://docs.scipy.org/doc/numpy/reference/generated/numpy.histogram2d.html#numpy.histogram2d), [`np.histogramdd`](http://docs.scipy.org/doc/numpy/reference/generated/numpy.histogramdd.html#numpy.histogramdd) y [`np.bincount`](http://docs.scipy.org/doc/numpy/reference/generated/numpy.bincount.html#numpy.bincount)\n", "\n", "Si en lugar de dibujar histogramas queremos dibujar gr\u00e1ficos de barras para representar, que se yo, la evoluci\u00f3n de la prima de riesgo en los \u00faltimos d\u00edas podemos usar `plt.bar`." ] }, { "cell_type": "code", "collapsed": false, "input": [ "import datetime as dt # Importamos el m\u00f3dulo datetime\n", "prima = 600 + np.random.randn(5) * 10 # Valores inventados para la prima de riesgo\n", "fechas = (dt.date.today() - dt.timedelta(5)) + dt.timedelta(1) * np.arange(5) # generamos las fechas de los \u00faltimos cinco d\u00edas\n", "plt.axes((0.1, 0.3, 0.8, 0.6)) # Definimos la posici\u00f3n de los ejes\n", "plt.bar(np.arange(5), prima) # Dibujamos el gr\u00e1fico de barras\n", "plt.ylim(550,650) # Limitamos los valores del eje y al range definido [450, 550]\n", "plt.title('prima de riesgo') # Colocamos el t\u00edtulo\n", "plt.xticks(np.arange(5), fechas, rotation = 45) # Colocamos las etiquetas del eje x, en este caso, las fechas" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 21, "text": [ "([,\n", " ,\n", " ,\n", " ,\n", " ],\n", " )" ] }, { "output_type": "display_data", "png": 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EMcaYIlxAGGOMKcIFhDHGmCJcQBhjjCnCBYQxxpgiXEAYY4wpwgWEMcaYIlxA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\nXEAYY4wp8v9uTc6LuFSs0wAAAABJRU5ErkJggg==\n" } ], "prompt_number": 21 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Si las barras las quer\u00e9is dibujar en direcci\u00f3n horizontal en lugar de vertical pod\u00e9is echarle un ojo a `matplotlib.pyplot.barh`. Siguiendo con los gr\u00e1ficos de barras vamos a ver un caso un poco m\u00e1s especial haciendo uso de `matplotlib.pyplot.broken_barh`. Queremos representar el tipo de nubosidad que ha habido en un d\u00eda concreto para saber cuando juanlu ha podido mirar las estrellas con su telescopio. El tipo de nubosidad lo vamos a desglosar en nubes bajas, medias y altas. Adem\u00e1s de poder ver que juanlu no ha podido usar su telescopio m\u00e1s que para mirar a la piscina de los vecinos porque el cielo estaba tapado, obtendr\u00edamos un resultado como este:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "plt.axes((0.2,0.1,0.7,0.8)) # Creamos los ejes en la posici\u00f3n que queremos\n", "plt.title(u'Evoluci\u00f3n para hoy de los tipos de nubosidad') # Ponemos un t\u00edtulo al gr\u00e1fico\n", "plt.broken_barh([(0,1),(3,3), (10,5), (21,3)], (9500, 1000)) # Dibujamos los momentos en que ha habido nubes altas\n", "plt.broken_barh([(0,24)], (4500, 1000)) # Dibujamos los momentos en que ha habido nubes medias\n", "plt.broken_barh([(0,9), (12,5), (20,2)], (1500, 1000)) # Dibujamos los momentos en que ha habido nubes bajas\n", "plt.xlim(-1,25) # Limitamos el rango de valores del eje x\n", "plt.yticks([2000, 5000, 10000], ['nubes bajas', 'nubes medias','nubes altas']) # Colocamos etiquetas en el eje y\n", "plt.xlabel('t(h)') # Y finalmente ponemos un t\u00edtulo al eje x, el eje de tiempos" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 22, "text": [ "" ] }, { "output_type": "display_data", "png": 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REVnFZIMeGqVUsRmsrKSbO3cuHB0dERAQgNdee00b6p2IqDhinw2yiokBEZVU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\nXFxcJDY2Vis7efKkKKVk/PjxZssZN26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} ], "prompt_number": 22 }, { "cell_type": "markdown", "metadata": {}, "source": [ "En `plt.broken_barh` se define primero los valores de x donde ir\u00e1 una barra y la longitud de esta barra y luego se pone el rango de valores de y para todas las barras definidas en x (adem\u00e1s de poder cambiar colores y dem\u00e1s de las barras):\n", "\n", "`plt.broken_barh([(x0+longitud para la barra que empieza en x0), (x1+ longitud para la barra que empieza en x1), ..., (tantos x como queramos)], (valor m\u00ednimo del rango para y, longitud del rango de y desde el y m\u00ednimo), dem\u00e1s etiquetas que queramos incluir)`\n", "\n", "Por \u00faltimo para hoy y siguiendo con los gr\u00e1ficos de barras vamos a ver `plt.step`. Esta funci\u00f3n nos permite dibujar un gr\u00e1fico de \u2018escaleras\u2019. Viendo esto en acci\u00f3n entender\u00e9is mejor a lo que me refiero:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "x = np.arange(10) + 1\n", "y = np.random.rand(10)\n", "plt.step(x, y, where = 'mid', color = 'r', linewidth = 3)\n", "plt.title(u\"Gr\u00e1fico ejemplo de \\'escaleras\\'\")\n", "plt.xlim(0,11)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 23, "text": [ "(0, 11)" ] }, { "output_type": "display_data", "png": 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bXI+/vz8plUq6du1arSYGsLtUHqdiK2xxn605eY4nsDUZUrnT7L1xUlJS8N57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\nO+9gw4YNOH/+PHJycjB37lz8/PPPSE5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} ], "prompt_number": 23 }, { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "Tipos de gr\u00e1fico (III)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Hasta ahora hemos visto como configurar las ventanas, manejo de las mismas, definir \u00e1reas de gr\u00e1fico, algunos tipos de gr\u00e1ficos\u2026 Ahora vamos a continuar viendo tipos de gr\u00e1ficos disponibles desde `matplotlib.pyplot`. En este caso nos vamos a centrar en otros gr\u00e1ficos que, quiz\u00e1, sean menos usados que los vistos hasta ahora. Algunos ya los hemos visto en otras entradas, como [gr\u00e1ficos polares](http://pybonacci.wordpress.com/2012/03/24/dibujando-una-rosa-de-frecuencias/), gr\u00e1ficos de contornos [[1]](http://pybonacci.wordpress.com/2012/04/13/dibujando-lineas-de-nivel-en-python-con-matplotlib/) [[2]](http://pybonacci.wordpress.com/2012/04/14/ejemplo-de-uso-de-basemap-y-netcdf4/),\u2026\n", "\n", "Vamos a empezar por ver un gr\u00e1fico tipo tarta de quesitos o tipo tarta o como lo quer\u00e1is traducir (en ingl\u00e9s se llama *pie chart*). Estos sos los t\u00edpicos gr\u00e1ficos que ponen en los peri\u00f3dicos con los resultados de elecciones o cosas as\u00ed. En este caso vamos a ver un ejemplo real a partir de los datos de las visitas por pa\u00edses al blog [pybonacci](http://pybonaccci.wordpress.com). El resultado se puede ver en el gr\u00e1fico siguiente (despu\u00e9s de la pieza de c\u00f3digo). Como habr\u00e9is adivinado, explode sirve para separar quesitos del centro de la tarta. En este caso hemos separado los quesitos de USA e Islandia para destacar los pa\u00edses no hispanohablantes:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "visitas = [43.97, 9.70, 7.42, 6.68, 3.91, 3.85, 3.62, 3.43, 3.16, 3.04] # Definimos un vector con el % de visitas del top ten de pa\u00edses\n", "visitas = np.append(visitas, 100. - np.sum(visitas)) # Introducimos un \u00faltimo elemento que recoge el % de visitas de otros pa\u00edses fuera del top ten\n", "paises = [u'Espa\u00f1a', u'M\u00e9xico', 'Chile', 'Argentina', 'Colombia', 'Ecuador', u'Per\u00fa', 'USA', 'Islandia', 'Venezuela', 'Otros'] # Etiquetas para los quesitos\n", "explode = [0, 0, 0, 0, 0, 0, 0, 0.2, 0.2, 0, 0] # Esto nos ayudar\u00e1 a destacar algunos quesitos\n", "plt.pie(visitas, labels = paises, explode = explode) # Dibuja un gr\u00e1fico de quesitos\n", "plt.title(u'Porcentaje de visitas por pa\u00eds')" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 24, "text": [ "" ] }, { "output_type": "display_data", "png": 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dLUkPQyYeKUfdvn2bdevWsXjxz/zyy1qgMHFxbUhMbIOzVSNP8eQ+V4FNmM2r\n0bRVBAeXpX//LnTt2pny5cvrHZz0GJKJR3rkLl++zI8/LmLOnOUcPLgHL68GxMS0AdoAwTpHJz2Y\nRJytoWWo6nKKFi1Mnz6d6datM9WqVZNl2FKmyMQjPRLR0dEsX76cL7+cz759uzEY2mOzdQMa4xxs\nKT3+NGAnHh5L8fRcho+PgYiIzvTs2YXQ0FCZhKR0ycQjZRuHw8G6deuYPv17fv11LR4e4cTG9gLa\nIcub8zoB7MdgWIbJ9COFCnnw6qsvMGBAvweaLFTKH2TikbLs2LFjzJz5HbNmzcXheJKYmIFAd6Cg\n3qFJuhDAViyWr3E4VtGiRWtGjhxMWFiYbAVJgEw80kNyOBysXLmSf//7c44fP0lSUh8SEwcAlfUO\nTcpVbqEo8/D2nomvbxyvvPICgwYNSHNlUyl/kYlHeiAxMTF8++13TJw4BZutOLGxrwEdkdVoUsYE\nsAuT6WuEWEZYWGNef/1FmjVrJltB+ZBMPFKmnDt3jk8//YJvvpmFojTBan0N58wBkvSgooGF+PhM\np3hxAxMmjKFz586uy11LeZ9MPFKGdu/ezbhxn7Fu3To0bQAJCcORJdBS9hDAz/j4jMfP7yYfffQ2\nffr0lvPG5QMy8UhpCCFYt24do0eP48SJ89jtIxBiEOCnd2hSniSAzfj4TMDL6yj/+tdbDB48CItF\nlt3nVTLxSKns3LmT4cPf4ciRS1itHwJdkJdtknLObry9J2IwbOett0YwfPgwChQooHdQUjaTiUcC\n4MiRI4wYMYZt2/7EZvsA6I9MOJJ+DmE2f4yqrmb06Dd4663XMJlMegclZRNV7wAkfZ0/f56IiOep\nXbsRv/1WH5vtODAImXQkfVXGbp+D1bqTSZP+JCioEosWLZKX5M4jZIsnn7px4wYffjiRb775jqSk\nF0lMHAX46x2WJKVjE97er1G+vDdffz2Fp59+Wu+ApCyQLZ58JikpicmTP6dUqYrMnGnFbj9IYuIE\nZNKRcrcwrNY/2b9/IA0btqd79/5ERUXpHZT0kGSLJx/Zt28fvXoN5vx5P6zW/wIV9Q5Jkh5CDB4e\nEzEav+Ktt0YyevQbsgLuMSNbPPmAzWZj5MhR1K/fkmPHXsZq/Q2ZdKTHly+JiROw2/cwefJBSpV6\nirVr1+odlPQAZIsnj1u3bh39+7/EnTt1sdunAEX1DkmSstmvWCyD6NKlBdOnf4qvr6/eAUn3IVs8\nedS1a9f37JjuAAAgAElEQVTo2rUvnTq9yOXL07DbFyCTjpQ3NcVm+5vFizXKlavGxo0b9Q5Iug+Z\nePKgBQsWUq5cVVatKobNdhBopXdIkvSI+REX9w1Xr06jbdu+vPjiq9hsNr2DktIhT7XlITabjcGD\nh7Ny5Xas1nlAbb1DkiQd3MRsfpWAgF0sXjybZ599Vu+ApHvIFk8ecezYMapUqcuyZfFYrbuRSUfK\nvwpit8/j4sVPaNq0CyNHjiI+Pl7voKQUZOLJA+bPX0CtWg2IjHyVuLi5gI/eIUlSLtAJu/0AM2ce\n4+mnG3HhwgW9A5LukqfaHmN2u52hQ0eyZMlGbLbFQHW9Q5KkXEhgNH6Ct/cUli9fQHh4uN4B5Xuy\nxfOYOnHiBNWq1WPx4jvYbH8ik44kpUchKWk0d+7MpU2bCCZNmiznfNOZbPE8hlatWkVExPPY7f9G\n04YC8tLBkpQ557BYOtG6dWXmzp0pZ7zWiWzxPGZmzvyGHj2GYLX+hKa9hEw6kvQggrDZtvLzz3GE\nhoZz5coVvQPKl2TieUwIIXj//Y947bUJ2O2bgbp6hyRJjykLdvuPHD3akipVQvnrr7/0Dijfkafa\nHgMOh4PBg1/hxx93YrOtAYrrHZIk5RGL8PEZzvr1K3nmmWf0DibfkIknl7Pb7XTq1IutW2Ow2ZYB\nfnqHJEl5zGq8vQewevUSGjZsqHcw+YI81ZaL3bx5k/r1m7FlixmbbTUy6UjSo9Aaq3UhrVp15ddf\nf9U7mHxBJp5c6vLly9Su/RyHDoVit88DPPUOSZLysCbYbEvp0KEXP/30k97B5Hky8eRCt2/fpkGD\nFly40J2EhM+QL5Mk5YTnsNlW0b37IJYuXaZ3MHmaUe8ApNRsNhvh4W25cCGcpKT39Q5HkvKZutjt\na+nbtxVxcXH07t1L74DyJFlckIskJibSvHlHdu4sRFzc98iWjiTp5SBmc3PmzZtG586d9Q4mz5GJ\nJ5fQNI2uXfvyyy8x2GxLAQ+9Q5KkfG4PFktLNm1aTZ06dfQOJk+RP6lzASEEQ4eO4JdfzmOz/YhM\nOpKUG9TGZvuGFi06cu7cOb2DyVNk4skF3nvvQ+bP/x2bbRVg1jscSZJcOhAd/Qbh4W2Jjo7WO5g8\nQyYenc2ePYcpU+Zjs60FCugdjiRJ93A4XiMq6lnat+9JUlKS3uHkCbKPR0eHDh0iNDQMm20jUEXv\ncCRJSlciFktbIiLK8/XXX6AocnLerJAtHp3ExsbSunU37PZPkElHknI7D2y2RSxcuInPP5+qdzCP\nPdni0YEQgu7d+/PTT+rdsmlJkh4PkZjNddm0aRWhoaF6B/PYki0eHXzzzSxWr95DXNx0vUORJOmB\nBGO3f0GXLv2w2Wx6B/PYki2eHHbgwAGeeaYxdvsWIETvcCRJeghmc2/69i3EV1/J024PQyaeHBQT\nE0NIyNNERb2HEH31DkeSpId2C7O5GitXzqJZs2Z6B/PYkYknB/Xv/yKLFiURF/et3qFIkpRl6ylU\naBAnTvxFQECA3sE8VmTiySHbtm2jWbPu2O2HkeN1JClv8PIaTps2t1i6dJ7eoTxWZHFBDkhMTKRv\n36HY7VOQSUeS8o74+I9Zu3Y3ixcv1juUx4pMPDngxReHce7cTaCG3qFIkpStLNhssxkyZARWq1Xv\nYB4bMvE8YlFRUSxYNBeCroKxAqrZhGKoA3wM3NQ7PEmSsuwZEhIaMnnyFL0DeWzIPp5HrFtEN1Ze\nWklieCI4gChQTikox1W0qw5UL180+zMgegMRyEtcS9Lj6CQWyzOcPXuUwoUL6x1MricTzyO0a9cu\nwluFYx9qBy83K8QDZ0E9pSKOgYjVMHgUxWFvDDwPNEE2SiXp8eDl9QrPP+/BjBmf6x1KricTzyNU\nP7w+2323Q+1MbhADnAHDSQOOExo4FAxKMI741sCLyDndJCk3u4LJFMLhw39SunRpvYPJ1WTieUT2\n7t1Lg2YNsA+zg/EhdiCAG8BpMJww4ohMQjF4QFJlRFInYAhQPFtjliQpa4zGD2jf/hRLl87VO5Rc\nTSaeR6Rd53astq1Gq6dlzw414CIopxWUYyraZQeqlzdaXB3QegJ9AUv2PJYkSQ8pBrO5PNu3r6VG\nDVnFmh6ZeB6BkydPUrV2VeJejnPft5MdEoBzoJ6+2z90W8PgVQiHrREwAGiD7B+SpJynKFNp3nwz\na9cu1TuUXEsmnkdgwAsDmH9qPklhOXi1Qiup+4cSQDUEosW1wHla7umci0WS8rUYvLyCOHPmMCVK\nlNA7mFxJJp5sdunSJcpULEPc0Djw1ikIAdzibv+QAcdpB4rBiOKoiJbYAWehQpBOwUlS3mcyDeHd\nd0vz3nvv6B1KriQTTzYbPWY0/7fp/4hvEa93KP8QwGVn/5B6TMUR5UD1NKPF1wStOzAQ8NM5SEnK\nS/6kaNHuXLp0ElWVp7zvJRNPNhJCUPTJolxvfz13F5wlAefvDmQ9pqDd1DB4+eOwNcBZpNCZhyvF\nkyTJSeDrW4ulSz+Rl01wQyaebLRjxw6ad21O7OBYUPSO5gHYgUhQTxoQxzWEHQweJXDYmwGDgfr6\nxidJj6X/0qrVBlavlhOI3ksmnmw09JWhfHPkGxwNHXqHkjW3cRYqnDDgOOVAwYAiyqIltAeGAmV1\nDlCSHgd38PIqxdmzxyhWrJjeweQqMvFkE4fDQaHihbgTcQcK6R1NNhLAVZyFCscMOM47UD29EAnV\nEY6uOFtE/vrGKEm5lMk0iLFjK/L226P0DiVXkYknm2zYsIGOgzoSMyBG71AeLQdwIcVA1mvJE53W\nuzvRaU/kRKeSlGwt1atPZP/+zXoHkqvIxJNN+gzsw4KLCxDP5rPDGY+zf+iUAXFcpJjotAkwCAhH\nDmSV8i8rHh7FuHXrCt7eeo2vyH1k4skGQgj8i/gT3Sca8vul12NwnpY7acBx0gEO9e5Ep21wjh+q\nrG98kpTD/PwasmjRu7Ro0ULvUHIN+VM0G5w+fZokkmRXB4AvUB0cXRwwChis4Wh8GkO5/4KxCorJ\nC8VYCxiHs/NIkvK22NimrFnzq95h5Co5mnhmzZrF5MmTSUrKwalkcsD27dtRg9THq4Q6JyhAEaAu\nOPokwRgQvROgwX7Ukh+AoRiq2QeUcGAmEKdruJL0KGhaE3766Te9w8hVcizxzJo1i5dffpmaNWti\nND7c4MTvv/8eVVXZvDl3ddRt2LKB2GKxeoeR+6lAIIgwgTbEAaNB62JFfWYLSsGXwGDGYC4MdAV+\nwjkltyQ97kI5f/4UN27c0DuQXCPDxLNp0yZUVUVVVYYPH+52natXr+Lp6YmqqoSHh7tdZ9u2bYwc\nOZKlS5fSpEmThw5WURTXLTfZtHUTBOodxWPIEygHWgsN8aoGr4OjzQ0MNVaApT14GFFNpXCOHdqr\nc7CS9LA88PJ6jo0bN+odSK6RqRaPyWRiwYIFJCQkpFk2d67zgkdGozHdhPD333+zbNkyWrdunYVQ\noW/fvtjtdp577rks7Sc73blzh6izUbl7ipzHhTdQBRwdHfCWgJcEWtNzGCp+Ax61UUweqB5VgX8B\nF3QOVpIyLyamEb/9tlXvMHKNTCWeTp06cevWLVauXJlm2XfffUfr1q3x8kr/wjNDhw6ladOmDx/l\nXaqq4unpmataPLt27cISZAGD3pHkMQpQEHgaHBEOeAdEvyREo0OogRPBEIhqtoDSEPgCkKc6pdys\nAgcPntI7iFwjU4mnVq1aVKtWje+++y7V/X/88QeHDx9m4MCBbrf7888/6dSpE4ULF8ZkMlGxYkXG\njRuXqrhg1KhRqKrKvHnzUm174MABzGYzTZo0IbniO7mPZ8uWLanWTUhI4JNPPqFGjRp4e3vj7+9P\nnTp1mD59eqr1IiMj6du3L8WKFcNkMlGuXDneffdd7HZ7Zg6DWwcPHsRe+OG3lzJJBUqCaCDQBjng\nbdC62VGe3YZaeCQYfFEtBYH2wBKcI10lKbcoQ2TkGb2DyDUy1cuvKArPP/88r7/+OhcvXqRkyZKA\ns2CgWLFitG3blnuHA/3888907tyZcuXK8eabb1KoUCG2b9/OBx98wL59+1i61Hl1vgkTJrB161aG\nDRvGM888Q7ly5bDZbPTo0QNfX1/mzZuXYQsnISGBFi1asHnzZlq0aEG/fv0wmUwcOHCA5cuX8/LL\nLwNw9uxZQkNDiYmJYdiwYZQvX56NGzcyceJEtm3bxm+//YbB8ODNliMnjpDgl/YUpPSIeQBlQJTR\nEM0AO2hnbqGeWo04/pNzolNjSRxxzXBeCK+evvFK+Vxprlw5gxAiV52x0Uumy8v69OnDqFGjmD17\nNu+88w52u50ffviBIUOGpPnCjouLY9CgQYSGhrJp0ybX8sGDB1OtWjXeeOMNNm7cSHh4OEajkYUL\nF1KzZk169uzJjh07GD58OMeOHWPVqlX3vYLflClT2Lx5M2PGjGHcuHGplqVMhmPGjOH69eusXr2a\nli1bAs5TgKVKlWLy5MnMnj2b559/PrOHw+XIiSNQ9IE3k7KbGQgBLeRuS+c2OE5HYTgxD8ep71EU\nA4ooj5bQDngJKK1jsFL+44PB4M2VK1coXlx2CGe6nLpgwYK0b9+e77//HoBly5YRHR3t9st6/fr1\nXL16lWHDhpGYmEhcXJzr1q1bN9c6yYKDg5k5cyZ79+4lPDyc7777jhEjRtCmTZv7xjV//nwKFizI\n+++/n2ZZ8i8LTdP43//+R61atVxJJ9k777yDqqqsWLEis4cilXNnz8mBo7mRP1ALHD2SnP1DAx1o\nYUcxBH8GhjKoZjOKoS4wGed03JL0aHl5leH06dN6h5ErPNA4noEDB3LixAm2bdvGrFmzqFu3LpUq\nVUqz3pEjRwDo3bs3Fosl1S0oKAhFUbh27Vqqbbp160bv3r3Zvn07VatW5ZNPPslUTCdOnKBSpUp4\neqY/MeW1a9ewWq1Urpx2upaAgACKFy/+0G+IG1dvgM9DbSrlFAVn1eGz4BjgLFTQesRB/d2oxd4G\nQwCqpQDQEpgHyFOnUvbTtNKcOSP7eeABLzPZvHlznnjiCT744AM2bdrEl19+6Xa95FNc06ZN4+mn\nn3a7TpEiRVL9ffv2bbZudZYbRkVFceXKFZ588skHCS/HJSQkEGeLA4vekUgPxAgEgwgWiMYOiAMt\nMhr11HrE8fUIa18MHsVSTHQahpxdSsoqm60Mp07JFg88YOIxGAz069ePiRMnYrFYiIiIcLte+fLl\nXf8PDQ3N1L4HDRrExYsXmTZtGm+++SZ9+vRhw4YN971eecWKFTly5AgJCQnptnqKFCmCr68vhw4d\nSrPs1q1bXLp0iVq1amUqzpSuXr2Kyc+ETbE98LZSLmICKoFWSYM2QDQ4zlzBcGIRjpMLQFMxKKXv\nTnQ6FHhK33ilx5LDUZzz50/oHUau8MA/44YOHcrYsWP58ssv8fFxf46pZcuWFC1alEmTJrmdJsJq\ntRIT8891a7788kuWL1/Oe++9x7Bhw5g8eTJbtmxJUyzgTu/evbl165bbdZNbXqqq0q5dO/bu3csv\nv/ySap1JkyYhhKBTp073fax7JSQkoHrIX8J5jh/OiU67JsFo7k50egpD2elgDLk70WltYDxwLeN9\nSZKLJ/HxiXoHkSs88KRpgYGBjB07NsN1LBYLc+bMoWPHjlSqVInnn3+esmXLcuvWLQ4fPsyKFStY\ntWoVDRs25ODBg7z++us0atSIf/3rXwAMGzaM9evX89FHH9GkSRPq16+f7mONGDGCVatWMW7cOHbv\n3k2zZs0wmUwcOnSI48ePu4oYJkyYwPr16+nYsSPDhg2jbNmybNmyhUWLFtGoUSP69+//oIfCSV5U\nIm9Lnui0CDjqOsAB4mICyql9qMf/QrvyHqqXD5o9FEQvoDfOJpQk3cuT+HjZfwgPkXjSc29tevPm\nzdm9ezeTJk1i/vz5XLt2jYCAAMqVK8eoUaOoVq0acXFx9OzZE29vb+bPn59qH7NmzaJ69er06dOH\n/fv3U6BAAbeP4+Hhwbp16/j0009ZsGAB7777LiaTiQoVKqQa2BoUFMSuXbt4//33mTdvHrdv3yYw\nMJAxY8bw3nvv3feUXnrPWV7OKJ8x4JzoNFAgwhyQANrZWNRTm9AObgDbC6B54MxYjZBTlkv/uMjF\nixkPD8kv5IXgsiAyMpIqoVWwvmzVOxQpp2jAReCM81/LdRVTDMTHa1gFYDSiJCVhBmxAHSBcDhiU\ngINCkPDMM6zfsUPvUHSXbS2e/EiOQM7D4nAml7OgXIECNw1g1bAmCbyB8gaV6gKqahpPAJ8YDPxh\nNKJqCp6mJGxxUDKwJIfOX6SAqjDNoVFR32ck6WwWsDVQTmMPMvFknWwvPt6u40wwF8DzqoLPHZXE\nOAd2DUooCk+pKjU1jRDhoBJQESgA4NBIAkYAr5lMKNWrQ4UKMHc+cXf7j4sULELr1q2Z9dU31ACe\nN6h85NAoqMsTlfSWAHhmMJlyfiITTxYYDAaEJjNPrpcEnAPOApfA94YBjxiBLUFDAcqoKtUUheoO\nB0/hTDClAQ8hwOF+stFpwFsWCwlFiqCNHAnFi2Pq/TwlKIVnxUiOHRMcP36chQsXUqtGLV5+5WW+\nM2rMdcBHisIwIfDIoacv5Q6JgIdMPIBMPFlStGhR4mPinef9ZVW1/mKBU8B5UK9AgdsGNJuG1SEI\nUKCiaqCGEFTRnMmlEs5p9hQt81c6XQ/0sVi45uGBeOUVaNwYAEv3vjSlGbt8N9C+peDYMUhMTOSL\nL75gxowZVKpYiQ5dOxBTIYZ/nVT4NA7+KwStkeUH+cVVVaXQ3QmW8ztZXJBFAUUDuN33tnPsh/To\nacAlIBK4COZrKuZoZ+d+goAgVaGKqlLdoREiBJWA8mR9comTQGcvL/5WFNTevdG6dYO7v16V8RN4\n4rejTBDjGeTRj2XLoF0753be3t5cv34dk8nEyZMnadyyMZeLXibRIxGf3xVqoPBfTaNKFuOTcr/e\nPj60mD6dfv366R2K7mSLJ4tKPFGC27dl4sl28TiTy1lQLoPfTQNKrMCWpGHC2blfDYVqjn9aL0GA\nqgnQsu9aPNFAb1XlJw8PDE2bwqBBaAEB/6ywdStev25lPF+xlKVUq2rAx+efx1cUhSVLltCnTx/K\nlSvHgT8P0L5Le/Zc3EPsaza2rxaEHoEIVWWipsmJzvOw0wYDZcqU0TuMXEG2eLKodcfWrDGugap6\nR/KYugmcBi6Ax1UF3zsqSXYNmyYopig8ZVCp4dCofLf1UhEIyHiP2UID3gSmms0QEoLjlVcgODj1\nSrdvY+7Wl+FJw2hFK/p4d6HXsJu0bu08A5f8yapRowb79u1zbZaUlMQrI15h7vK52LraQAHzIhX1\nssa/FIWRQiB7AvKeYmYz+06edF3PLD+TLZ4sqlC2AmsOrNE7jNwtCbiAswVzCXyuG/CMEdgTNARQ\nWlWperdzP+Ru534ZwFMISMr5K4l+DYy0WIgrWBDttdcgnXn8TMPfJFTUpiUtiSaaqwk3efZZ5zJV\nVXA4nJnn2LFjHD58mJCQEACMRiNfTv+S6lWr88Y7b2DvYMc+VIMTMH6FwhSbYJqAzsj+n7wiFohO\nTJTX4rlLJp4sKhtcFq8dXsQTr3co+ovFWZp8/p+xL+Ju576/AhVUA9URVE1xeqw4D9a5/yhtAXpa\nLFwyGOCll6B5c0jvqrTTp+MddYe3xP+hoLCIRZQtY8Df35koUyaexMREpk2bxowZM1Lt4qWhL7mK\nDqz1rWi1NWLe0ojZBgM2KHwsnP0/tR/lk5ZyxBmgdLFiDzVDSl4kE08WlSlTBq/b+SjxaMBVnKfH\nLoLpmorljkJCvIM4AYGKQmWDSo2kf1ovFQBvQbqlyXo7C3T29GSvoqB26wY9eoDZnP4GBw7gteQn\nxjMFb7wB2GbZQNtm/zw/oxES747nSUpKYu7cuXz66aeY79lveHg4e3ftpXHLxly9cZX4pvFQH2Lr\nCv78n6DhAehoMPAfhwN5gubxdRooU1pe9TaZTDxZVLduXeLOxuW9kuoEnKfGzgGXnJ37hliBNVHD\nCyh7t3O/eorWSynAoNPpsYdhA/oqCss9PVHDwmDwYLRChTLeKC4Oy6ix9FMGUFE45yJIIIGLSZdo\n0OCf1Tw8FOz2f/5WFIWlS5fSp0+fNLtMVXSwaA+2jjYwgegMtqaw9EeNFVHwlqoyStPk5Z8eQ6eA\n0k/Jy2kkk4kniwoXLkyR4kWIuhIFj+P8f7dxde4br4DfbYOrc7/I3ZH7NTSNyilG7hcCcOSO02MP\nQwPeAz4xm6F8ecSrr+IoWzZT23q9PoqKiWXoJrq57lvOcooXVylW7J9jcu+loWJiYpg8ebLbxAPg\n7+/Phl82OIsOZt8tOigE+EH8YAGR8NkymBENU4AIZP/P4+R3Hx+6NGqkdxi5hkw82SDsuTDmn5uf\nexOPxj+d+xfB+7qKVwzExWs4gOAUnfvJI/fLAV4ZjNx/XM0Fhnl7Y/XzQ4wcCXXqQGbn3Fu4EK8j\nZ/kX36OmaN5uMK2ladPUxaEmN1dGOH78eKoig3u5ig6qVeeNt51FBySfnQmGmNc1YnbB0PUKkzT4\nShPUy1zkko4cwMbERGY0aaJ3KLmGTDzZoFl4M1ZOXUkssfoGYsPZejl/z8SWDoEvUMFgoLoQVNU0\n1+mxkuSezv1HaRfQzWzmvMEAQ4ZA69bpFw64c/o0Xl/PYSzjCUhR0O3AwXnO0rBh6sRjNqc9pukV\nGaS0adMmmjdtzs/Lfk5VdOBSF2LqCP7+CZrugxaqyucOjVKZfyZSDvsTCCxeXFa0pSATTzZo0KAB\n2huac8LQR33+Q+OfiS2jwOuqguXuxJZxAp5QFELunh4LEQ6ewtm57wt5rvWSGVFAFw8PdqkqaqdO\n0Ls3WB6wlyQpCfPIt+mkdKaWSF1avZ71+PpCqXu++S2WtMPjkpKSmDNnjtsig2SHDh2mQ4fOrFix\nNG3RQXIjSwXag60x/LxYsPYsjFBV3tU03F8TWNLTr6pK07Zt9Q4jV5GJJxuUKVMGI0a4A/hn004T\ncZZb3Z3Y0u+Gs3Pflqhh5N7OfefpsWDAmAdPjz2MOGCgovCjpydq/fowdChakSIPtS/je2N50hrA\n89rzaZb97PE/Grs5g2KxOC+5rt3TmkxZZPDVV1/h7+9Pjx49XMuHDXuJNWs20rRpc6ZNm+a26MDF\nBxIGCoiCLxbDV7fhP8AAnNerk3KH9T4+jG7TRu8wchU5c0E26di9IyttK51X/noQt3FNy2+8Ar53\nJ7aM1QSF705sWVMIqqQ4PVY426PPOzTgI2C82YwjONg5c3SFCg+/w9WrMf9nOrP4luKkPlUiELS3\nNOM/nzqoVCn1ZuPHw8aNBhxufgRUr16d/fv3s3jxYvr168fOnTupXr26a3l0dDSVK4dy4cIxXnzx\nVaZM+ZiRb4z8Z6aD9Arv9oHvGoUSifCVEIQ9/LOWsokVKObhweWbN/Hxke3RZLLFk036R/Rnwzsb\niKkTk3ahhvOcTyT/XLUyGuISNJIElFIVqijO02NP3a0eKw+YcvHYl9xoETDE25toiwUxYgQ8+2zm\nCwfcuXIF06fTeZvRaZIOwA52oBo1Krq5wpuPT/oPnVxk0KFDB/z8/OjSpQt//vkn/v7O5rKfnx9r\n1y6lZs1QvvlmEYcPH+N///vBfdFBSjUhprogZh203QUNVZUvHBqZq9eTHoUtQO2QEJl07pGXRp7o\nqmXLliRcSIB9wFpQZoP/5wb8xyl4/Bv8v4XQTSqDj6lMuqbxQ7zGUQF24LgmWOZw8L4QdMM57Zub\noigpHXuBMmYzPSwWop9/HrFgAdSvn7Wko2mYX3mDJjSmIQ3drrJcXUpYmOL2YXx909918uUSPD09\nGThwIKdOnaJ///6pTstVrlyZ7777Gk9PE7t2FadatXo0a9KMn5f9jO8qX9Q96Xx0VaAlWEfD+mBB\nVeA1VeVO5p+5lI1+9vSkeefOeoeR68hTbdmoWtXKnDt4mLpGAzVTTMtfCTl59aNwFejq4cFWVUXt\n0AGtb19nUyMbKJM+puS6v/lWfItXOlN2dvJpwfv/TqBmzbTLliyBL79UcaQz3snb25tr164RFRXF\n008/TenSpenZsyejR49Otd7gwcOZP/8c8fGt8fYey8qVCwkMDHQWHRS9Snyz+Ix/Pl4B70Uqhhsa\nExWFIULI0xw5xAYEmkzsO3aMoKAgvcPJVWSLJxt9/MlkKvn68kuSg0lC0A8IRSad7JYADASKe3mx\n/Zln4Pvv0V56KduSDtu34/XLJsaJcekmnUMcIt6RQLVq7nfh5wcZ/aZLvlxCuXLlqFOnDr169eLz\nzz9n48aNqdabPv1Typa9gqLcJiZmIW3aRLB+/W8c+PMAoeZQLIsszkqK9BQD63CN6K7wtqdCBUXh\nl/s9fylb/Ag8+8wzMum4IRNPNmrWrBlnVZWjegeSh30M+FoszClfHvHZZzj+/W/IzvER0dGYP5jE\ny8rLBBOc7mo/8gP16xvSHQrk7//PZRHciY2N5dNPPwVgyJAhrFmzhrlz59K7d2+ioqJc63l6erJ6\n9WK8vT8HBHb777z55hRGj36fdT+vo2+TvlhmW+DGfZ5XFYgZrXGmvqCrqtBYVTlyn02krPnS15eh\nb76pdxi5kkw82choNDJw8GBmyOuqZ7uVQEGLhXcKFSJh9Gi0r76CdGYAyArT8Dd4WqtBG5Fx+esR\n3z2EhaVf+FGwYMYtHoATJ05w6NAhOnTowOHDhylVqhTDhg2je/fuJCbPMAoEBgaydOk8zObegBmb\nbQfz5h2nWbMOTBo3icljJ2Oea3ZWR2ZEBZpC7NuCLeWds14PVdX75izpwe0FLnt60rJlS71DyZVk\n4slmr7z2GvMUhVt6B5JHHAQqmEx0NJu5PWAAYuFCaNgwa4UD6fnySyznbzLKMQolg5HAZzlLdLyd\np5vLyx4AACAASURBVJ9Of1cBmbhaXUJCAtOmTcPT05MBAwbw9ddfM2bMGAICAhg1alSqdZs2bcqo\nUa9gsXQDLNhsP7F791OZLzpIyRMcEWB/BeYWdo7/+lRRSLj/llImfWUyMXj4cAwPMjtGPiKLCx6B\nfl27Unn5ckbng6loHpWbQHejkd9UFUPbtjj693d2nDwqf/+N16tv8RmfEULGLamP+ZjoeusZPyH9\nFk9SEjRrdv+HTVlk8Oyzz3L+/HlsNhu1a9dm0qRJdO/e3bWupmk0a9aBbdvKEh8/BQBVnYm39/us\nWLGAoKCgzBcdpHQM/Faq+NoFM4SgHXIC0qyIBkp5eXH4zBlKlMitEzjqS7Z4HoHX33uPL7y85C/I\nh5AEDAWKmExsqlMHZs3CMXz4o006CQnOSx2o/e6bdAD2+24nvHHG46uMmSwdS1lkUL16dZYvX05A\nQABLlizh5Zdf5siRf3piVFVlyZI5BASswtl1DZo2hJiYhbRt2+vBig5SqgjRozSiwgW9DQr1VZW/\nMrmplNZ8oEl4uEw6GZCJ5xGoUaMGFatUufvVIGXW/wE+Fgtfly6N9v/snXdYFFcXh99ZpOxSRBSM\n2EAUOxYUG0FsqLGLxoIKWDCaWKJiL9gbdsWGgoANRdRojL0k+WxoYgk27MZekSIIO98fZFeWusAu\nYsL7PPuY3LltB5gz997fOWfBApLnzIHSpbU+rt6osVRKLEdPec9s677kJa8+RNOwYfb9qrMbGBMT\ng6+vL5AiMli7di0AdevWZd68ebi6uhIT8yn4bLFixfj5551IpT+AUh7QLJ3ooF/LfuqJDlLjBDET\nRM5UldMI8NCR8CwHzQtJUVwulMkYPmHC555KgabQ8GiJiXPnMl0mK1z1qMEvgLlMxo+mpiSMGoXc\n3x9q1syfwbdvR++vO0yVT1VJdZAZ29hGtWo6aim3JRL1NqxSiwyuXbvGzZs3ARgwYACNGjVi4MCB\nKkKFOnXqsHz5fGSyroAiUkZFFdHB3Jlz1RcdpKYIiN0hfiSEWoANMEcQ1F48/dfxFwQq1amDk1PG\nTseZER0dzcyZM6lbty4mJiYYGhpSvXp1xo4dy/Pnz9PVv3fvHj4+Ply69GWuTQsNj5Zo0aIFFevW\nZZ02DsH/JdwAahgY0NbAgFdubojbt0OLFpBfeenv3UN/bSDTmIoZZmo1OWt4khYt1AtjpK7hSR3J\nwMPDg3Xr1imvrVy5khs3brBixQqVNgMH9qdLlyZIpYNICYsOYKoiOmjZvGXORAepMYX4wXJi+8E8\nQ4HyAuxINVIh6YkDZhkYMGfZshy1u3nzJrVq1cLHx4eKFSsyf/58li1bRsOGDVm2bBnVq1fnzJkz\nKm3u3bvHjBkzvljDUygu0CKXLl2idaNG3IyPL3QiTcVboLdEwoEiRZC0bo28f/8Ux5f8JCkJmWtv\nOsQ05zv5d2o1iSGGrrod2LYtRS6dHd98IyE+Xj2BiUJk8PjxYxo1asTDhw/R/0eWf+fOHRo2bMju\n3btp3Lixsk18fDy1azchKsoDuXy4Sn8pooMp7N69lXLlytGiTQueWTzLmeggNafB+KhAJbnAGrk8\nx7Fw/wvM09HhQuvW7Ni/X+02cXFx1KlTh/v37xMeHk7btm1Vrl+4cIGWLVuip6fHlStXsLCwAFLy\nNjVv3pyAgADc3d2zHUcUReLi4jA0NMzZl9IShSseLVKrVi1c2rXDV92T5n85cmAEUNzAgEP29rB+\nPfJRo/Lf6AA6U30oFWPCQPlAtdvsZCdWVjpqGR0AXV31V7sKkYGNjQ21atVi165dymsVKlRgw4YN\n9OjRQ2XbRSqVcuDATgwNZwP/U+kvRXSwTSk6uBRx6ZPoIF7taX2iEbwfL/KHnRxnAXpKJDzKRTf/\nVp4Cvnp6zFm6NEftNmzYwK1btxg5cmQ6owNgb2/PnDlzePHiBQsXLgQgMDCQ5s2bA+Dp6YlEIkEi\nkdCsWTMgxShJJBI2bdrEqlWrqFatGlKpVHmWmJSUxPz585XlJUqUoGvXrly9ejXd+EFBQTg4OFCs\nWDGMjIywsbGhT58+vHz5MkffMy2FKx4tc//+fepWrcrl+Hi0f0xecFkDjJLJSChRIiVVQUYBzvKL\nQ4eQzl3KBjZQKgf5yvtL+9DG429SKZyzpHt3HV6+VD+6uJ2dHZcuXWLnzp2sWrUqXficSZMmcfr0\naQ4dOkSRVC8z+/bt49tvhxAfHwGUTNNrFDJZB/r0acWyZQv40ftHgnYGEdc9i/QK2REN+qECkkci\nYyQSxsnlFIz36M/HAAMDzLy8WJjDbbamTZvy22+/cevWLSpUqJBhnfj4eIoWLUrZsmW5ffs2d+/e\nZcOGDcyZM4fBgwfz9ddfA1CyZElatGihXA3VqlWLV69e4eXlxVdffUXZsmVp3bo1PXr0YMeOHbi4\nuNChQweePHnCqlWrSEpK4tdff6V27doABAcH4+7ujpOTE926dUMqlfLgwQMOHDjApk2bqFq1aq7v\nV6HhyQemTpjAleXL2RUX95/zjzgGuMlkPCtSBHHo0BTnlvw6w8mIFy8w6OnBWPkYmtFM7WaJJNJR\nrzUBgaCuSrZvXx0ePVLf8MhkMs6dO0elSpUoV64cJ0+epHKqnAvJycm0bt0aBwcH5syZo9J23LjJ\nrFz5P+LiDpE+28k7ZLIe1K0r8tNP29m6fWvW6RXU5QEY7ZSgHy1nMdCH/+YWygWgfdGiXL9/n6JF\ni+aobfHixUlOTubt27dZ1rOzs+Ovv/7i/fv3yGQypXEJDAykX79+KnUV18zMzLh+/TolSnzK4HX4\n8GGl8dm6dauy/PLly9jb29OoUSNOnToFQNeuXTl27BivX79GouG/2f/i70m+M8nHh+vFixP2uSeS\nj9wF6ujr08LAgOc9e6YIB1q3/rxG559UB82EpjkyOgD72Ie5uURtowMglebMgTgxMVFFZLB+/XqV\n6zo6OmzZsoWQkBD27t2rcm3OnOnUqqWDru6UDHoumkp00FApOjD5ySTnooPUlIOYUXJetYdhugI1\nJQK/5763L5KPwBBDQ2b5+ubY6ECKmk2ddib/+LG9e6d+got+/fqpGB2A8PBwIGX1nBo7Ozs6dOjA\nb7/9xqtXKRp8U1NTYmNj2bdvX7bhn3JKoeHJB/T19fHfupXhUum/PpRODNBJIsFGX58rzZvD5s0p\n6QoMPn+GIWHRYkxfJDM8eXj2ldNwSP9nWrTM2R+fTJaz+klJSYSEhBAfH8+gQYMICgoiISFBpY6F\nhQWhoaEMHDiQ27dvK8t1dHTYs2cLJiabSYlsl5YiJCQs5e+/R2Fv74goilw4e4EykWXQP6ifcgCX\nW+pB9ASRyLoirQXorKPDvTx09yUxU1eX4nXr0n/AgFy1NzExITo6Ott6ijo5MW62GWTevXv3Ljo6\nOhluk1X7J/bh3bsp+vuJEydSvnx5OnfujIWFBd26dWPDhg0qfmW5pdDw5BNNmjShq5sbYwrAA1gb\nyIGxgKlUyn47O8TVq0keO1Y9+Vd+cOYM+j8fZbY4C4McptmTI+eh5C5OTjk1POR4i0IQBHbs2JGh\nyEBBw4YNmTp1Kq6ursTHf1IKmJubs29f6D8S66iMv0sa0cHlC5fzJjpQIAHaQ6w3/FxWTjXAWyIh\n+0fql8vvwHqplIDQUIRcuk3UqFGDd+/eqbxEpCUuLo7r169jZWWFTCZTu++c1M2IihUrEhkZyf79\n+3F3d+f+/fsMGjSIKlWqcOfOnTz1/a8zPFZWVkp1R3YEBgYikUg4efKksiy1IkTTzF28mCNGRvyi\n8Z4/L4GAiUyGr6UlydOnk7xkCVjn5fBAw8TEIJ06hyHCEKxzcahxjGNIpWKOv5KhITl+IKVOlzB4\n8GAVn57UfP/991SrVo2hQ4eqbIM0bNiQefOmIZO5kuJZkhGfIh2MHTsl95EOMkIGHz1E4gfDmqIC\n5YB1wL8tgXs00FcmY21wMF/lIS2Hq6srAP7+/pnWCQoKIikpia6pMpnm1tBVqFCB5ORkIiMj012L\njIxEEASsU/2i6+np0bZtW3x9fTl//jz79+/n8ePHLF68OFfjK/giDE9cXBxLly7l66+/pnjx4ujp\n6fHVV1/Rrl07Nm3aRHLyp19rQRDU/qEo6mZUP7c/2KwwNjZm044deEqlPNF47/nP70BZqRRPIyNi\nhw5FDAqC+gXPw8Ng2GjqJNvRQeyQq/b7dPbQomXGKa6zwsgod0G0o6Ki+Ouvv+jYsSPXrl3jxo0b\n6eoIgsC6des4d+4cGzZsULk2bNhQWreugYHBUDJ3+axIXNwZ1UgHPrmIdJAZpSBmRDLvusAYfYEq\ngsAxDXRbUBhmYECrbt3o2LFjnvoZOHAgFStWZPHixRw8mD5F38WLF5kwYQIWFhZ4e3sry43+CZ2h\nOI9Rly5dugAwd+5clfKrV6+yd+9eHB0dKV48Re6YkWS6zj9q1Ddv8nZoUOAdTKKiomjXrh23bt2i\nVatWTJw4kRIlSvD8+XMOHz6Mp6cnkZGRzJ8/H8g+B0pq+vbtS69evdDV1dXW9NPh7OyM18iR9F22\njINxcXyJQdMfAK56ekQIAkK3btCrF0iln3taGePvj/T+CyaIi7JMdZAVdw2uM8gp54cguU2IqhAZ\nrFmzBk9PT9avX6/0wVDt34iwsDC+/vpr6tSpg729PZBilIKD11GjRgPu3/dHFAdlMpJCdDAGO7uG\nHD36E/t37adzt87ENIlBbq+B6Oq14H1NkfdHoNMZaCxIWJksp1Lee/5shAJnSpTgop9fnvuSyWTs\n3buXNm3a0K5dO1xdXWnatClFihTh3LlzBAcHY2Jiwu7du5XOowDVq1fH2NgYPz8/ZDIZRYsWpWTJ\nktnu9rRs2ZJvv/2Wbdu28ebNG9q1a8fTp09ZtWoVMpmM5cuXK+u6uLhQrFgxHB0dKVu2LG/fvlXu\nEvXt2zdP37tAy6nj4+OpU6cOd+/eZfv27XTu3DldnYiICCIiIvjuuxTvcysrKypUqMCxY7l7v8pK\npqgpkpKSaNmoEc6XLuGTKuFXQScO8BAEdurpIfn6a5K9vMDc/HNPK3MiI9H/fjSL8KU61XPVxTnO\nMdNoHHv25FyQt3MnrFkjITk55w/wtJEMHjx4gEEm54M7duxg7NixXLhwAbNUZ2o3btzA3t6R2NgD\nQBbJg0ifXiHPkQ4y4gMUCRPQvSUyQCJhhlyOGmmLChQPgXpSKftPnaJeVgmZckh0dDTLli1j165d\nREVFkZycjJWVFe3bt2fMmDEqRkfBgQMHmDx5MpGRkSQkJODs7MyxY8c4ceIELVq0ICAgIMNnWHJy\nMosWLSIwMJA7d+5gZGSEk5MTM2fOpHr1T38n/v7+hIaGcuXKFV6/fk3x4sWpW7cu3t7eNG3aNE/f\nt0AbnhUrVjBixAjGjx+fzm8hMxSGx8/Pj9GjR/Prr78ikUho1aoVK1eupGTJTw52gYGB9O/fnxMn\nTiiD+mVmeERRZM2aNfj7+3P9+nUkEgn169dn6tSpODs75/i7PX36FPtq1dj45g2tc9w6f5ED04B5\nUilyGxvkI0ZAxYqfe1pZk5iIrHNPeiV0pY+8T667GS+Mxfybi4wek/NTikOHYP58Abk8539iRkZG\nrFq1in79+uHi4oKnpye9evXKtP6oUaO4fv06+/btUxE07Ny5E3d3b+LiLkC28ehOIJX2xNfXBze3\nXnTo2oELjy8Q1ykONLmgfQ6yUAk6L+XMFgS+E0Xyb88h9yQALWUy2o4bx8SpUz/3dL5oCvQZz86d\nOxEEAS8vrxy1e/ToEc2aNcPKygpfX1969+7Nrl278rSC6du3L8OGDcPW1paFCxcyffp03r17R6tW\nrfjpp59y3N9XX33F1t276SeVcj3Xs9I+WwFTmYzZJUuSNHUq8uXLC77RAXTHjMcmoQy95b3z1M9N\nw8s0zSLFdVaYmkJuX+syS5eQGfPnzyc6OprZs2erlHfr1g1Pz67IZH3IXjPtTHz8b3h7L8Pbe7Jm\nRQepsYC4H+S8/xYmGQhUFAQOaLB7bSAHPKRSSjo7M37y5M89nS+eAn3Gc/XqVUxMTLCysspRu6io\nKEJDQ+nWrZuyTCKR4Ofnx82bNzPUt2dFeHg4W7ZsYf369QxIpdcfMWIEDRs2ZMSIEXTokPODaycn\nJ+avXEm7YcM4HRdH+sX05yMC6CaVcl8igUGDoH17+FLS+O7cid6VW0wjUK1UB5lxgxvEf0zgnwgi\nOaZYsZydOaYlKiqKq1ev0qlTJ3744Qdu3LihEskgNbq6uoSGhlKvXj0aNGiAi4uL8tqSJfP43/+a\nc+XKLJKSsntTTxEdbN7cg2vXOvHTT9uxq2GnmUgHaakG76vIeX8Svv1VoC4CfnJ5LjdFtctEPT0e\n2NpyZOdOjXvx/xcp0HcwOjoaY2PjHLcrXbq0itEBlIduUVEZ+zdkRUhICMbGxnTs2JGXL18qP2/e\nvKF9+/bcu3cvV/0CePTvT+9hw+hkaJgnNwpN8QRooqtLfX19HnbuDNu3Q6dOX47RefgQA7+NTGUK\nxXMdjCyFbWyjUSMdtbOJpqVYHg8wFOkSdHV18fT0zFRarcDS0pItW7bQr18/Hjx4oCzX1dVl//5Q\njIzWAumVU+nJItJBhIYfGRKgGcSMF/mtckrU60ESCS80O0qeWC2REG5hwZ4jR5AWVBHNF0aBNjwm\nJia8f/8++4ppyCjYnkIimFP5IcC1a9d4//49JUuWxMLCQuUzffp0BEHg2bPc52qcMXcuFVxc6CuV\n5smBPC8kAH0FgdL6+pxt3Bg2bULu5ZXijPKlIJcjG+ZNB6E9Djjkubu/jM9nm+I6K/IadFsRySAu\nLo6BAwcSFBTEhw9Zp2RzdnZm9OjRdO/eXSXqQalSpdizZytSqTtwX43RM4l0cE0DkQ4yQg/kPSB+\nOGy2SFlYLRAEErJtqF1+AmYYG/PziRPpws8UknsKtOFRePUqQjioi04Wb+e52foQRRFzc3OOHDmS\n4efw4cMqapCcIggCG7du5XnVqozW08v3ZFuzAWOZjC22tohLl5Ls4wMl00Y5LvhIpk2n5HsZg+SZ\nyYfV52/+5l1CbJ7ckjSRDUMikSjTJdSpUyfDSAZpGTNmDJaWlowaNUql3MnJialTxyCTdQc1H+kp\nkQ620759bw4dOqK5SAeZYQbx38mJdYNZUgFrAcL5PAnozgP9ZTJ2HzyIjY3NZ5jBv5cCbXgU22VZ\nefXmB5UqVeLVq1c0aNCA5s2bZ/gxzePrrb6+PrsPH+ZE+fJMyCfjswsoJpMxxdycjxMmIF+9GqpU\nyYeRtcCRI+j9dp5Z8lnoakAjtZWt1K6tk+cQc3n1Q04rMshuuy1lTIHAwEAOHTpESEiIyrVx40bj\n5FQWff0fczCLfBIdpKYSvB8r50lL6Kcj0FAi4Q8tDZURd4BOUin+W7bQoEGDfBz5v0GBNjwDBw6k\ncuXK+Pr6povGq+DChQusXr1aq/Nwd3dHLpczYcKEDK/nZZstNWZmZhw5fZqfy5ZlqhadWi8DFaVS\nXKVS3vXvj7h5Mzg65v0p+bl4+RKDeUsZw2gssdRIlxeNflc7xXVWqJv+OitSiwyuX7/O9evZ6yCL\nFi1KWFgYP/74I1euXFGWC4LAtm0bKVHiCIIQnINZKEQHt2jZMk2kg7yF7cqaJhAzQeR8dTmOQB8d\nHa1H/bgDtJLJmDRvHp06ddLyaP9NCrThkUql7Nu3D2trazp37kybNm3w9fUlICCABQsW0LZtWxwc\nHFQOUrWBq6srnp6erFy5EkdHR+bOncv69euZNm0aLi4uKumI80rx4sU5evo04WXKMEPDxucl4Fyk\nCLX09Ljbvj1s347o6gr5GLlBG0iHjeFrmtCCFhrp7w1veJnwlkaN8t6XJgRQikgGCpFB2nQJmWFn\nZ8fixYtxdXVViYBctGhRDhwIQyodBVzJvIN0pIgOIiLSiA72a0F0kJoiILpC3EgIKylSEZghkWhl\np+8vwEkqZfT8+Xw/POdRzAtRjwJteABsbGz4448/WLx4MbGxscqse4pAioGBgcyaNUtZP6sYa+rG\nZMuobMOGDQQFBSGRSJg3bx7Dhw9XhrOYN29ebr5appibm3P09Gm2lirFbA0cFCQBAwALfX1+a9gQ\nAgKQDx0KuVAMFjQE30WYPEvgx+SRGutzO9upbKujkdtTpEjeVzzJyclKkYEiXUJ2IgMFffv2pUWL\nFnh6eqqcb9asWZM1a5b8E0xU/Rwvn0QHoz+JDs5oUXSQGlP44CUnzgN8DaE8KX5mmtqWjgBaSKXM\nW7uWoT/8oKFeC8mIAh254L/OkydPaNm4MW0eP2ZhYmKu3hIWARNlMpIsLVNSTudBBFHgOH8e/bFT\nWcVKbNDc4a+7rAddBj0ngwhNOaZTJx2io/O+ZWdkZMTKlStxd3fHxcUFDw8PevdWzzk2ISEBR0dH\nevTowZgxY1Su9e8/lG3bnhIfHwY5jmWXT5EOMuMsGB8WsJYLrJXLaZiHrk4B3WQy1m/ZUri9lg8U\nGp4CzuvXr+nUsiVlr10j8MMH9NRstx9wNzTktb4+4rBh0LTpl3uGkxExMUhd3fD66ElnUQMW4h/i\niKOLXjs2bwZNqGe7d9fh5UvNJAWoWbMmly9fJiwsjOXLl6uk88iO+/fv4+DgQGhoqEqcrYSEBOrW\n/ZobN74lOXlMFj1kRhQyWQfc3FqyfPlCfvT+kaCdQcR1jyOPblTqIQd+Atmf0Faiw5LkZMrmsIuf\nAXeZjG1799KihWa2awvJmgK/1fZfx8zMjEO//068kxPtZLJsE2tFAlX19WkvlfK6b1/ErVvB2fnf\nZXQA/ZHe1EqqRidRs2+n4YRTpoxEI0YHNJt4VSEy6NixIzdv3lRLZKCgfPnybNq0id69e/Pkyafj\neX19fQ4c2ImhoS+gviH7hEJ0EEXLlh2ZM2MOi3wWaV90oEACdIK40fBTaTmVgYkSCermyNwOeBob\ns/fIkUKjk48UGp4vAKlUys6ff8ame3ecZTKeZlDnDeCio0N1fX1utW0LW7ci9ugBeuqukb4gNm5E\neucpE+QTcp3qIDNOSA/SMocprrPCwEBzhx65FRkoaNOmDV5eXnz77bd8TBUVvVy5cuzYEYRU2gt4\nnIuZFSUu7iciIqpjZ9eQFs1b8HP4z9oXHaTGCBL7i8QPhBUmUA4IIOsjJz+JhB9NTTn822800oSS\npBC1KTQ8Xwg6OjqsDgigy+jRNJDJuPhPeRLwPVDCwIBj9erB+vUkjxgBOcjN/kVx4wb6ITuYIc7A\nBBONdp1EEo/kj/j6a80ZHkNDzfWVWmSgbiSDtEyZMgVjY+N0rgEuLi6MGTMEmawHkJtUHUVISFjC\n48djsLd3RC6X55/oIDVlIGaknDedYKSuhOqCwKk0VRKBwfr6rCpbllPnz2NnZ5dPkytEQaHh+YIQ\nBIEpM2awKDCQ1jIZQ0iJOLDGygr5vHkkz5sHZXO6w/0FkZiIbNREegk9qUlNjXf/Mz9TrJhAmTKa\n61MmQ6NBJSUSCTt27KBChQpqRzJI2z44OJiwsDB27typcs3HZxL16xujpzc+1/OTywdlHOlgu5Yi\nHWRGHYieIOe6g8g3ArSTSLgNPAWayWQ8c3LizJUrVPwCIq3/Gyk0PF8g3bp358j//keIqSmJZcsi\nX7sWatX63NPSOrpjJ2L9oVSe8utkxUHdfbTQ4DYbpIS602Qa9dSRDAYPHpxtuoSMKF68ODt27GDI\nkCEqabUlEgm7doVgaroL2Jl5B9miiHSw/FOkg1ZajnSQERKgLcR6wyFrkZpADV1dXH78kV2//JKr\nAMSFaIZCw/OFUqtWLR7cuYNzhQoYjhkDLwpSPF8tEB6O3qXr+Mh90NFCwnA5cu4XuY2TkzYMj0a7\n5M6dO1y5ciVXIgMF9erVY/bs2bi6uhIbG6ssNzMz4+efdyKVDgFuZN5BtlQkLu705xMdpEYKclsB\noaiMaYsWMW3WrMLUBp+Zwrv/BVOsWDEO79vHuJ49kX7/PVy48LmnpB0ePcJgxXomM5kSaCdC8ClO\noacvajzHnTZeqhMSEnKULiEzBg0aRL169fDy8lJxLrW3t2fJkjnIZF1BbX1YRhQA0cEHkIZLqfx3\nZa7+cZVhw4blz7iFZEmh4fnCkUgkTJk4kf3bt2O6cCFFAgLgY24Ohwso/6Q6+EZoS8M8uQhmzV6d\ncJo1FzS+OilaNG/J4DIiOTmZzZs3K0UGwcHBORYZQMoWoJ+fH1evXk0X79DLayAdOjgglXqRt9gA\nKaKDv//+DKKDxyALkNG7UW/+OPcH1taazGJXSF4oNDz/Epo1a8ZfFy/S9OVLDIcMgcjIzz0ljSCZ\nMRPzaAMGywdrdZw7Btdo2lTzT0ETE80bHlAVGdStW5ewsLBc9SOTyQgLC8PHx4ezZ88qywVBYOPG\nVZQuHYlE4pfn+YriJ9HBwYOHtSs6SAbdE7oY7zRm47KN+K/xR19fX8ODFJIXCg3PvwhLS0sO79vH\nhtmzKTp9OvqrV0N8QchrmkuOHUPv5Blmy2ehp3bMhpzzJ3+SJH7USjQhU1PQRmyQ3KRLyIyKFSuy\nfv16unfvzotUZ4UymYwDB3Yik00HzuR1yihEB2PHrmDMmEnaER08AcMAQ5pKm3Lj6g169OihoY4L\n0SSFhudfhiAI9OjRg9uRkXTQ1UU2aBBERHzuaeWcN2+QzlnMKEZRmtJaHSpUCOVrJx2tZPdOMTza\niUqVVmRw7dq1XPfVqVMnevfuTe/evUlO/hTip2LFioSErEcq/RY0kpA6RXSwZcttpehg8fTFeRcd\nJIHuSV2Mdxizes5qDu0/RKlSpTQw30K0QaHh+ZdSvHhxdoSEEObvj/ny5RgsWADR2QXcKThIfxhF\nYxrSilZaH+um0R84O2smnlpazMy00i2QXmSQ00gGaZk1axbJycn4+PiolHfq1IkhQ9yQyXoBY/hQ\nhgAAIABJREFUmrhPqqKD5s2a5010cA8MNxjiLHXm+pXr9O3bV6MS9v86zs7OGj8fKzQ8/3LatGnD\nnchI3G1skA4cCCdOaGfvR5MsXYrxkzhGJ4/W+lC3uU1M4gfq1NFO/3lMTJslqUUGgwYNyrXIQEGR\nIkXYunUrgYGB7N+/X+Xa/PkzqVlTRFd3Wl6nrRhNRXSQnJycc9FBHBjsN8DsgBkhfiEc2n8IS8us\nEwF2794diUTCpUuXMq0jiiLW1tYUK1aMhAT1UoT/29G0IS80PP8BjIyMWLNiBUf37KHctm3IfHwK\nrt/PhQvo7/mF2eJspPkQW38b22jgoKO1kHYaSKeUJRKJhNDQUKytrfMkMlBQsmRJtm3bRv/+/bl7\n966yvEiRIuzduxVj403AvjzO+hMK0UGHDm7qiw5E4E+QrpPi0cCDe7fu0VnNHBYDBw4EICAgINM6\nx48f5/79+/Tq1atQlKAlCg3Pf4hGjRpx89IlRjRtioGXF0UCAyEu7nNP6xNxccgmzmSQMIiK5E8o\nkyvGZ2jWXDvbbAq0uesTExOjTIro5eWVq0gGaWnSpAkTJ07E1dVVZQVlYWHBTz9tRyrtj2a9QJ2J\nj/+dsWNXMHp0NqKD22C40ZCaD2ty6vApVq9YnaMIBC4uLpQtW5bNmzerBEpNjcIoDRgwILdfqJBs\nKDQ8/zH09fWZM2MG1/74g85JSUjd3RF27y4Qvj/6I72pnlSZrmLXfBnvGc94/SGGBg20O462zxtS\niwxu3bqVJ5GBguHDh1OpUqV0DpeNGzdm9uzJyGTd0KwO2oa4uNNs3ZqJ6OAZGG43pNSpUmxasolL\n5y9Rr169HI8iCAIeHh68evWKvXv3prseHR1NWFgYNWvWxN7enoSEBObMmUP16tWRSqUUK1aMjh07\n8ueff6q0O3HiBBKJhE2bNhEQEED16tUxMDDAysqKhQsXZjiXiIgIunTpgrm5OQYGBlSpUoU5c+ao\niDsCAwORSCSZfk6dSgmB6uPjg0Qi4cGDB+nGsbKyolmzZunKjxw5gouLC8WKFUMqlVKrVi21X1zO\nnTuHh4cHtra2GBoaYmJigqOjI7t371arfaHhKSBk9suhzfF2hIRw+sgRHCMjkfXvD8eOgTy/wgin\nISgIg6i/mSSfqPFUB5mxla3Y1dRBquUdPW2o5VKjqUgGqREEAX9/f3777Tc2btyocm3kyGG0bGmL\ngYGmowCoig6aOTfj5/CfMd5njPF2Y2Z/N5t7N+/h6uqaJ2Pu6emJIAgZbrdt27aNDx8+MGDAAJKS\nkmjTpg0zZsygSZMmLF26lPHjxxMZGUmTJk24kEGkkDVr1jBz5kzc3NxYvHgxpUqVYty4cWzdulWl\n3v79+2nSpAlRUVGMGTOGFStW0KhRI6ZOnUqvXr2U9Zo2bUpISIjKJygoiDJlyqCjo0MJNRJHCYKQ\n7n6tW7cOFxcX4uLimDx5MkuWLMHGxoYhQ4YwduzYbPvcvXs3N2/epGfPnixfvpxJkybx+vVrunbt\nmu67ZjinLyED6Zs3b7C0tCQhIYGgoCD69NFOkEht4+PjQ506dTJMrWttbY21tTXHjh37DDODY8eO\n8YO3Nw9jYohxcwNHR8iveFa3bqE/eDjzxXnUIv+CnfYxcsVt6GvattXuON98IyE+XrsGXSaT8eLF\nC549e0b9+vV59OgRBhrIQhcZGUnTpk05dOgQdVIpMGJiYqhe3YGHD0cjiprfkhKE9RgZTSY8fAt1\n6tShSJEimJhoLg1Gy5YtOXnyJA8fPuSrr75Sljdq1Ig///yTv//+m02bNjF69GgOHjxIq1af1JXv\n37+nRo0aVKhQgePHjwMpK57mzZtjaWnJtWvXlNt/8fHxlC9fnooVK/K///0PgA8fPmBlZUWVKlU4\nduyYSty4pUuXMmrUKI4fP66SKTY1Y8eOxdfXl6VLlzJ8+HAg5dkyY8YM7t27R7ly5VTqW1lZUaFC\nBeWz5cmTJ1hbW9OtWzdCQkJU6o4cOZKVK1dy69YtpZLN2dmZBw8ecOfOp+3VuLg4ZDKZStv4+Hjq\n1KmDjo4Of/31V5b3/4tY8WzevJmEhAQMDQ3TvX19ScyYMYM9e/ZkeO3mzZscOnQon2f0iebNm/NX\nRARbfH2x3bULoyFD4LfftK+AS0xE9uMEegjf5qvRiSaa5wmvadxY+2Pp6mp/BZdaZGBvb59nkYGC\natWqsWLFCrp168abN2+U5UZGRvzySxhS6XjgD42MlZrUooOtW7dr1OhAyvlNcnIyQUFByrLr169z\n9uxZOnbsiJmZGSEhIVStWpW6devy8uVL5SchIYGWLVvy22+/pVO9eXp6qpw5SaVSGjRowK1bt5Rl\nhw8f5vnz53h4ePD69WuVvtv+8xaU2bPA398fX19fhg4dqjQ6OWXnzp0kJibSv39/lbFfvnxJ+/bt\nkcvlHDlyJMs+UhuduLg4Xr16RWxsLM2aNePatWvExGQd4++LMDwbNmygZs2ajBw5kpMnT6qobbLi\n/fv3Wp6Z5tDV1aWItiVQ2SAIAh06dOD6H3+weeFCKu3YkRJ+59dfIVk7B/BFJkymXLwF/eT9tNJ/\nZoQSSkUbnXzJl5cfSWA1kS4hM3r27En79u1xd3dHnmortmrVqmzYsBKZzJWUHLia5pPoYODAH0hK\nStJYz127dsXU1FRlu03xUtu/f38Arl27xrVr1zA3N8fCwkLlExAQgFwu5+XLlyr9VqhQId1YxYsX\n59WrTyoJxRlc//790/VbtWpVBEHg+fPn6fo5cuQIQ4YMoXXr1ixfvjzX310xfsuWLdON7+Likun4\nqXn+/DleXl6ULFkSIyMj5T1au3YtgiDw9u3bLNsXeMNz8eJFLl26xIABA5Qqk4xWPRKJBE9PT44e\nPYqjoyPGxsZ07NhReX316tVUrlwZAwMDbG1t8fPzUx7cKQ7oFLx7945x48ZRsWJFDAwMsLCwoHfv\n3ukMnqL98ePH8fX1xcbGBgMDAypXrqzyJnXv3j3lcjrtYaGCjM54FGXXr1+nXbt2mJiYYGpqSvfu\n3Xn27JlK3cePHzN69Ghq166NmZkZUqmU6tWrs2DBApWHhToIgkDHjh258eefhMybR7W9e5H17Ytk\nyxbI5hcqR+zdi/7FSGbIp2sl1UFW/CY7SstW2lWzKcgvRe7du3e5fPkyHTp00JjIQMHChQt5+fIl\n8+bNUynv2bMH/fp1RCbri3Yifn4SHTRt2lZl1ZUX9PX16d27Nzdu3OD06dMkJycTHBxM2bJlad26\nNZDiz2NnZ8eRI0cy/Bw+fDjdGYuOGgd6itMNX1/fTPsdPVrVh+3atWt069aNqlWrsmPHjnRpHbI6\n80prsBXjBwcHZzp+7969s5y/i4sLQUFBeHp6EhoaysGDBzly5Ai9e/dGFMVsnzmf9xVbDTZs2IC+\nvj59+/alWLFiNG/enE2bNjFjxox0NzsiIoKwsDC8vLzw9PRUls+fP58JEyZgb2/PvHnziI2NZcGC\nBZibm6cb7927dzRu3JiHDx8yYMAAqlevzuPHj/Hz86NBgwZERESk20OdOHEiHz58YMiQIejp6bF6\n9Wo8PDyoWLEijRs3xsLCguDgYPr27YuTkxNeXl7pxs3oAFAQBP7++2+aNWtG165d6dSpE3/++Sdr\n164lOjqagwcPKutevnyZ8PBwunbtio2NDR8/fuTAgQOMHz+eO3fusGbNmhzfe0EQ6Ny5M507d+bC\nhQssWrmScHd3hEaNiO/YEapWzb1W+MkTDJatYSKTMSf9z0GbJJLIk6SnODrmz3hSaf4INhISEli+\nfDn+/v7079+fdevWsWTJEo30raenR2hoKPXr18fBwYGWLVsqry1btoDTp5vx119zSUqapJHxVEkR\nHVy44I2dXUOOHv0JW1vbPPc6YMAA/Pz8CAgI4NWrVzx79ozJkycrr9va2vL8+XOaNWumUWWiYu4y\nmYzmzZtnW//58+e0a9cOqVTKvn37MDIySlfH7J8QGa9fv1Z5Pn348IEnT56o3C/FfxcvXlyt8dNy\n+fJlLl++zLRp05g2TdWhWF1hS4E2PB8+fGDLli107tyZYsWKASkOYL169eLgwYO0adNGpX5kZCSH\nDx9WuZmvX7/Gx8cHOzs7fv/9d/T+2fcYOHAglStXTvcLNXXqVO7du8eZM2eoWfNTemUPDw9q1qzJ\ntGnT0qlhEhMTOX/+vHKrrFu3blSoUIGVK1fSuHFjZDIZbm5u9O3blwoVKmT4NpGRxkMURaKioggN\nDaVbt27KcolEgp+fHzdv3lT+Ejk7O6sc/kGKJLZfv374+/vj4+OjcoiaU+zt7dkSEMDrRYvYsHEj\nixYsIFYqJaZDB2jeHHJykC2XI/thNC5CaxqTD4csaQgnnFJfSbCwyB+DYGiYP/qd5ORktm7dyvLl\nyxk4cCD169dn7ty5GhEZAJQpU4bNmzfj5ubG+fPnKfNPjnA9PT327w+lRo36vH3rAFoJc6SIdFCd\nevW+Jjx8Cy1atMhTj3Xq1KF27dps376dhw8fIgiCcpsNoF+/fnh7e7N48eJ0KxCAZ8+eUbJkSbXG\nSv2cad26NRYWFsybN48ePXoon20K4uPjSU5OxsjIiA8fPtCpUyeePXvG8ePH0730KqhcuTKQcn5U\nu3ZtZfmSJUvSPVu+/fZbJk6cyLRp03B2dk73+/Hu3TukUqnyWZkWxaou7arm6tWrhIeHq2WkC/RW\n265du3j37p2KI1eXLl0oXrx4httttWrVSmfBDx8+TEJCgnI1oqBkyZK4ubmp/FBEUWTz5s04OTlh\naWmpcugmk8lo0KBBhod+Q4cOVTmfsbS0xNbWlqioqDx9f4DSpUurGB1AuSWXuv/UvzyJiYnKQ0sX\nF5eUHCgaShJnZmaG95gxPL5zh9DFi2l65QoGvXujt2YN/P23Wn1IZs+lxBtdhiQP0ciccspRg180\nnuI6K2Qy8i3jZWqRQb169di5My8prNPTvHlzRowYQffu3UlMTFSWly5dml27NiOV9gUeanTM1Iji\nQKXoYOXKvKdrGDBgAO/fv+fgwYM4OztjZWWlvDZixAhcXFzw9vamXbt2+Pr6sm7dOiZPnkyjRo1U\nZM/Zz/vT75tMJiMoKIjnz59TuXJlxo8fz/r161m4cCEDBgygdOnSXLx4EYBp06Zx9uxZvvnmG27e\nvJlOWq04i2nZsiWVK1dm6tSpjB8/njVr1tCnTx82btxIiRIlVMYvXbo0q1ev5sKFC1StWpWpU6fi\n7+/P3Llz6d27N5aWljx9+jTT+VerVk25je/t7c369evx9vamSZMm2NnZqRUUt0CveDZs2ECJEiUo\nX768ykPWxcWFsLAwXr16RfHixZXlGS2/FecyijeC1KSt/+LFC16/fs3Bgwcz3IaDjPdwMzpQNDMz\n4+HDvP8BZnZYCagcWCYlJTFv3jyCgoK4fft2uh++pvbGFUgkEtq2bUvbtm25e/cuy1evxn/ECLC1\nJeabb8DBIeNT9ZMn0Tv2G7NYp9VUB5mRRBKPuE/TpvlneFLSX+ePb5JCZODh4YGXlxdLly7VuPvB\n2LFjOX36NGPGjFE55G7WrBmTJv3InDndiYs7BVr7+aaIDsaN68Cff0ayZs3SXAtz3Nzc8Pb2JiEh\nQWW1Aylhgvbv34+fnx/BwcHK4KmlS5fGwcEBd3d3lfqZ/Ywz2kZ3cXHh/PnzzJs3j5CQEF68eEGx\nYsWoWLEio0ePxs7ODkjZZhMEgbCwsHRKRUEQOH78OBYWFkgkEvbu3cvw4cNZsWIFenp6tG7dmpMn\nT9KkSZN04yucP319fVm7di1v376lRIkSVKlShVmzZqms5NLOXyKRsH//fsaMGcOmTZuIjY2lZs2a\nBAUF8eeffyqNZlYUWMNz9+5dpUY+I6MBEBISwogRI5T/n1ZXnlMUD+tWrVoxbtw4tdtldqCoCRep\nrA4rU/c/atQoVq5cSc+ePZkyZQoWFhbo6upy4cIFxo0bl2OBQU6wtrZmyYIFzJ0xg+3bt7PM359I\nX18kjRsT7+QE9vagq5uS6mDmQkYwkrKU1dp8suIwhzE2gUx2LLRCiuHJv/FSiwx++OEHIiMjqVat\nmsb6V3jo16tXL92b/8SJYzl58jSnTo0mIWGFxsZMj0J00JNr19qyb19oui0rdTA1NSUui7BROjo6\nDBs2LNuU2c7OzioRB1ITEBCQobNq9erVCQ4OzrLfzNpmRKVKlThw4EC68sxUwI0bN2bXrl3Z9qt4\nDqemXLlyhIaGpivv1KlTunOfjCiwhkdxs/39/TFNE+JXFEUmT57Mxo0bVQxPRiicoK5fv46zs7PK\ntRs3bqj8v7m5Oaamprx79y5Xh26fk+DgYJo2bcqWLVtUym/evJlvczAwMMDd3R13d3ceP35MaGgo\n/lu3cnv+/BSH1HOXaIgDrWmdb3NKy8+6P5HHo4Eck4NQYhohMTFRKTJQpEvQlMhAgampKTt37qRV\nq1bY2dlR/Z8seoIgEBoaSLVq9XjyZAuQuToq72hHdFCI9imQZzxyuZzAwEDs7Ozo378/Xbt2Vfm4\nurrSq1cvrly5ku3ZRatWrdDX12f16tUqzl5Pnz5l8+bN6ZaQbm5unDt3LlMHvOz07VlhZGSksj2m\nSYoUKZJuVRMbG6vxB466WFpaMnLkSK6ePcuNS5fw+fprzORyLhS5wBzZHI5znFhi83VOcuTc072Z\nr9tsoL3015mRlJTE1q1biYuLY+DAgQQHBxOvhUy0tWvXZuHChbi6uqr4zJmamnLgQBgy2Qggaw/2\nvKMQHXhTr97X2To+FlIwKJCG59ChQzx69AhXV9dM6yiu+fv7Z9mXmZkZ06ZN48qVKzRp0oQlS5Yw\ne/ZsGjZsiK2tLaIoqhif2bNnU7t2bb799lt69erF0qVL8fPzY9y4cdSsWTNHW3BpHzYNGzbkyJEj\nLFiwgK1bt7Jt2za1+8qObt268euvv9KzZ0/Wr1/PrFmzsLOzo2h+eEhmQ7ly5Rg3dix/v3jEtTvX\ncF3sypkmZ+ih14MJxhPYzW5eaCS7Zdac5jQ6unLy+6W4aNH8NTyQ8hK1fft2pchAU5EM0uLh4YGT\nkxMDBgxQ+Y61atVi1SpfZLKugPYTECpEBx079tGI6KAQ7VIgDc+GDRsQBIGuXTOPUly9enVsbW3Z\nvn17tsmvxo8fz8qVK3n//j0TJkxQxmBSHA5KU0WJNDEx4ffff2f69On89ddfTJw4kfHjx7Nv3z4a\nN27M0KFDVfrOyYGin58fjo6OzJ49Gzc3N9zc3LLsJ6sD6bTXFi9ezJgxYzhz5gzDhw8nODiYwYMH\np3P4+9xYWloyePBgDv52kCcvnzBqwyiedX6Gl8yLQcaDWKG3ghOc4DWvNT52uGQXzs6SfD1vAYXh\nyd8xtZEuITOWL1/O7du3WbZsmUq5h4c73bo5I5UOICWJjrZRiA5WajzSQSGa5YsIEqothg0bxqpV\nq3j69CkWFhafezr/aZKSkrh48SInTpzg+L7j/C/if5jpmGGXZEfNDzWpRa08O5p2MXJh6oyPWss2\nmhk3b8Lgwfk7JqSIbU6fPk3VqlUpV64cR48e1ajIIDV3796lYcOGhIWF4ZjKM/fDhw/UqePIrVtu\nJCf/qJWx0/MOmawXtWp9ZP/+3IkOCtEu/wnDk5CQkC6T4JMnT6hSpQpWVlZZpsEt5POQnJzM5cuX\nOXHiBCd+PsGvp3/FAAOqSKpg+96WqlTFFlu1s5Re4QrjpMP56SftpylIy8uX0L17/o4JKed+7u7u\n+Pv7M2nSJGJjY1m6dKnWxvv555/x8vLiwoULKnLce/fuYWfXgPfvdwJfa218VT6io+NE1apJXLly\nPp/GLERd/hOG55dffsHb2xtXV1dKly7NvXv3WL9+PW/evGHv3r3KiLCFFFxEUeT27ducPXuW06dO\nc/rkaa7duUY5aTkqJ1am8ofKlKc85SiHMellZFOZgkHL00yclD/x2VKTlASttOHMrwZSqZQXL17w\n/Plz6tevz8OHD1W2ljXNtGnTOHXqFIcPH1bxrfnll1/o2nUA8fEXgNxH0MgeEdiDkdFUypWTsnLl\nvHzNc1WIevwnDM/t27cZM2YM586d49WrVxgYGFC/fn0mTJjwxcmmnZ2duX//vtoRurWBIvdIQEBA\nOie6jPDw8CAoKEjjvkQJCQlcunSJs2fPcvbkWSKvRHLr/i30BD2s9K0ok1iG0vGlKUc5fI2m8+P4\nDzRpotEpqE1+PfskEglGRkaIokh8fDylS5fmxIkTWFlZ0aZNG2XoJm2RnJzMN998Q+3atZk/f77K\ntUmTfFi69DhxcUfRvCeHCBzCyGgyJUt+ZOnSWbRr1y7fHHcLyRkF1o9Hk9jY2BAeHp6vY8bFxbFu\n3TrCwsKIjIzk/fv3mJmZYW9vz7fffkufPn3UimSbEQXlj0ndeWQktNAE+vr6ODg44ODgoHTwE0WR\np0+fcv36da5fv07k5UgO/3GYpGswfboO5uYGlCpVhJIlk7CwiOOrr0S++gpKlkwRARgYaMfZUxA0\nJzDQ09PDwMAAQRBITEzk48ePWFpaUr16derXr0+NGjWoVq0alSpVUgkTNXjwYBYvXqxVw6Ojo8Pm\nzZuxt7enYcOGdOnSRXltxowp/PrrGc6cmcjHjws0NOJHYAdGRoswM4vH13c6rq6u+RaiqJDc8Z9Y\n8eQ3UVFRtGvXjlu3btGqVStcXFwoUaIEz58/5/Dhwxw5cgRvb+90b4TqkFE2wPxGseIJDAykX7/s\n8+gkJSUhl8szDTqYX3z8+JFHjx5x9+5d7t27x927t4mK+ou7d2/z8OHfvH4dg1wup2hRPYoW1cXE\nRMDYWMTYOAkjo0QMDJKQSlOMU+p/pdJPqQ9EMSV7uOJfxX+PHJl1VnEdHR309fXR1dUFUlYOCrVm\n0aJFsbCwoHz58lSqVAlra2vKli1L2bJlKVOmDF999ZVaLzEfP36kfPnyHD58WOnwqS3OnTtH+/bt\n+f3336lUqZKy/OXLl1SrVo8XLxYDmatWs+cdEsl6DAyWU7WqDdOmjaJdu3aFBucL4T+x4slP4uPj\nad++Pffu3WPXrl107txZ5bq3tzcRERFERER8phnmP587wZ0CXV1dZYrxzIiPj+f169e8fv2aV69e\nqfwbGxtDdPQboqPf8fjxO2Ji3hMTE0NsbAxxcSkOmqlzLUkkEnR0Uv796qsXWFhYYmJigqGhofJj\nZGSEsbExxsbG6ZJyWVhYYGhoqLHVoq6uLv3792f9+vVaFRkAODg4MH16yurjzJkzynBWJUqUYP/+\nHTRt2o74+BpATp2qbqGn54dEEkSbNm2YPDkce3t7jc+/EC0jFqJRli9fLgqCIE6YMCFH7cLDw8XG\njRuLhoaGopGRkdikSRNxz5496eo1bdpUtLa2Tld+8uRJsWXLlmLRokVFqVQq1q1bV9ywYUOG7a2s\nrMT79++LXbt2FU1NTUVTU1OxX79+YnR0tJiUlCTOmjVLtLKyEg0MDMS6deuKv//+u0ofx48fFwVB\nEAMDA8Xly5eLlSpVEg0MDERbW1txxYoV6cZ0d3cXBUFQKbt27Zo4ZMgQsVq1aqKxsbEok8lEe3t7\n0d/fP0f3rZCccefOHbF48eJiXFxcrtofPHhQnD59uvjy5cts68rlcrFPnz5i3759RblcrnJt1arV\nokxWQ4QYMWVNmNUnSYQ9opGRi2hsbC6OGjVOfPDgQa7mX0jBoNDwaBgnJydRIpGId+/eVbvNqlWr\nREEQxGrVqokLFiwQ58+fL1atWlUUBEFct26dSt2MDM/evXtFHR0dsWzZsuLMmTPFpUuXig0aNBAF\nQRAnTZqkUtfZ2Vk0NzcXK1SoIPbv319cu3atOGDAAFEQBNHV1VX08vIS69WrJy5ZskScP3++aG5u\nLpqZmYnv379X9qEwPPb29mLp0qWVYzo4OIiCIIjTp09XGdPd3V2USCQqZWvWrBFr1Kghjh8/Xly7\ndq24ePFisWHDhqIgCOLcuXPVvndp5xQYGJjjtv81WrduLQYFBeW43fnz50WZTCYuW7ZM7TYxMTFi\njRo1xDVr1qiUy+VysVu3vqKBQR8R5JkYnCeiRDJHlMnKidWqNRCDgoLE+Pj4HM9bHTJ6OfocZDSP\ngjI3TVJoeDSMmZmZaGpqqnb9169fi4aGhmKlSpVUHu7R0dGijY2NaGxsLL59+1ZZntbwJCUlieXK\nlROLFSsmPnnyRFmemJgoNmnSRNTR0RFv3bql0l4QBNHX11dZdvz4cZEUWZAIiIIgqHwAce3atSr1\nBUEQTUxMxL///ltlTAcHB1FXV1d89OiRsjyjP5zY2Nh090Iul4vOzs5i0aJFxY8fP6p9D1PPadOm\nTTlq9yWh+I6pP0ZGRqK9vb24bNkyMTk5Wa1+du3aJTo6OuZo7CdPnohlypQRZ8+eneN537hxQyxR\nooR47tw5lfLY2FixQoWaokSyOpWxeS9CkGhs3Fo0MCgq9uzpKUZERKg9luIepf79VoeMXo4+BxnN\nw8PDo0DMTZMUnsRpmOjoaIxzEI748OHDxMXFMXz4cJWUtsbGxgwfPpyYmJgsAx9euHCBhw8f0r9/\nf5UMo7q6uowdOxa5XM6ePXtU2hQpUiRdmHfFOcKgQYNUEk0pQq1klNTOzc0NS0tLlTF//PFHkpKS\n+Omnn7L83qlTWHz48IFXr17x6tUrWrVqRXR0dLrI4YV8onfv3oSEhBAcHMyUKVOIi4tj5MiRDBmi\nXmK99u3bc/v2bf76S/0AnhEREcycOZOJEyfmeL62trasXbuW7t27qwTJlclk/PJLGFLpVGANMpkb\n+vplcHLazrp1Hrx69ZitWzfm6gwnN+diYgHRWaWdx/r167US5PVzUjBOff9FmJiYqETqzQ6FP05G\nKiNFeJOsfHZy075UqVKZKsx69eqVzuFu8ODBGUbVrlq1aqZl2fkZxcTE4OPjQ2hoKI/G0mp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} ], "prompt_number": 24 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Como ya hemos comentado anteriormente, ejemplos de gr\u00e1ficos de contornos ya hemos visto varios. Esos gr\u00e1ficos de contornos se hacen a partir de datos de mallas regulares. Pero, \u00bfqu\u00e9 sucede si tenemos datos que est\u00e1n repartidos de forma irregular? En este caso podemos hacer uso de `plt.tricontour` y de `plt.tricontourf`. Existen unas pocas diferencias de uso con respecto a `plt.contour` y `plt.contourf`. En este caso, el valor de Z no tiene que ser 2D. Para ver su funcionamiento pensemos en un caso real. Imaginad que ten\u00e9is una red de medidas (por ejemplo, temperaturas) repartidas geogr\u00e1ficamente en una zona (AVISO, como siempre, los datos que vamos a representar no tienen ning\u00fan sentido f\u00edsico ni pretender representar una situaci\u00f3n real y solo se usan para ver el funcionamiento de `tricontour` y `tricontourf`, en este caso). Se ha usado `plt.scatter` para representar la posici\u00f3n de las estaciones de medida:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "x = np.random.rand(20) # posiciones X de nuestra red de medidas\n", "y = np.random.rand(20) # posiciones Y de nuestra red de medidas\n", "t = np.random.rand(20)*3000 # valores de Temperatura (\u00baK) en las posiciones (X, Y)\n", "plt.tricontourf(x, y, t) # Pintamos las triangulaciones con contornos de color\n", "plt.tricontour(x, y, t, colors = 'k') # Pintamos las l\u00edneas de contorno en color negro\n", "plt.scatter(x, y) # Pintamos la posici\u00f3n de las estaciones de medida." ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 25, "text": [ "" ] }, { "output_type": "display_data", "png": 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NCl4aBbHb5NlHAT4QmwXPHIbgX+HrC1BQRQ6zEoHoYfj4zOVWtLxfRdgYd/yG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} ], "prompt_number": 25 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Por defecto usa una [triangulaci\u00f3n de Delaunay](http://es.wikipedia.org/wiki/Triangulaci%C3%B3n_de_Delaunay) pero se puede definir la triangulaci\u00f3n que queramos haciendo uso de `matplotlib.tri.triangulation`.\n", "\n", "Todo esto est\u00e1 metido dentro del paquete `matplotlib.tri`, donde tambi\u00e9n podr\u00e9is encontrar `tripcolor` y `triplot`. Probad con todo ello y mandadnos ejemplos para saber como lo us\u00e1is y aprender.\n", "\n", "Tambi\u00e9n podemos dibujar cuadros de valores que correspondan a una matriz en lugar de interpolar los valores mediante contornos. Puede suceder que, en muchos casos, el n\u00famero de datos que tengamos en una malla regular sea bajo y una interpolaci\u00f3n (usando `contour`, por ejemplo) d\u00e9 resultados que pueden quedar feos y no representan fielmente lo que queremos representar. En esos casos podemos usar `plt.matshow`, que lo que hace es dibujar una matriz con cuadros de colores en funci\u00f3n del valor de cada uno de los elementos de la matriz. Vamos a hacer otro ejemplo para que se entienda mejor. El resultado lo podemos ver en el siguiente ejemplo. En la imagen de la izquierda vemos que las l\u00edneas de contorno, en este caso, quedan mal en los bordes y la representaci\u00f3n solo usando `matshow` (imagen de la derecha) ser\u00eda m\u00e1s adecuada (repito, todos los ejemplos no tienen m\u00e1s sentido que el de explicar el uso de `matplotlib.pyplot`)." ] }, { "cell_type": "code", "collapsed": false, "input": [ "x = np.sort(np.random.randn(25)) # Valores de x que vamos a usar posteriormente para crear la matriz\n", "y = np.sort(np.random.randn(25)) # Valores de y que vamos a usar posteriormente para crear la matriz\n", "mat1, mat2 = np.meshgrid(x, y) # Creamos dos matrices cuadradas que vamos a cruzar\n", "mat = np.sqrt( mat1**2 + mat2 **2) # Creamos una matriz final a partir de las dos anteriores\n", "plt.matshow(mat) # Representamos la \u00faltima matriz con matshow\n", "plt.contour(np.arange(25), np.arange(25), mat, 10, colors = 'k') # Colocamos l\u00edneas de contorno para la matriz mat\n", "plt.matshow(mat) # Representamos la \u00faltima matriz con matshow" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 26, "text": [ "" ] }, { "output_type": "display_data", "png": 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BHfvhwqeh91gxdbr+eXjrJlg0DB7qA/+6HL54HA6uFzMhXQ2rFeb+Uqw//JvQ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} ], "prompt_number": 26 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Pod\u00e9is echarle un ojo a `plt.pcolor`, `plt.pcolomesh` y `plt.tripcolor` que permiten hacer cosas similares a estas.\n", "\n", "`plt.hexbin` hace algo parecido a lo anterior pero teniendo en cuenta la ocurrencia en los intervalos que determinemos (esto mismo lo podemos hacer, por ejemplo, con `plt.matshow` aunque tendremos que calcular previamente las frecuencias para cada recuadro). Vamos a representar el n\u00famero de veces que los valores de dos series (x e y) se encuentran en determinado intervalo de datos. Para ello vamos a recurrir, como siempre, a `np.random.randn`:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "x = np.random.randn(10000) # Creamos un vector de 10000 elementos distribuidos de forma normal\n", "y = np.random.randn(10000) # Creamos un vector de 10000 elementos distribuidos de forma normal\n", "plt.hexbin(x,y, gridsize = 20) # Representamos como est\u00e1n distribuidos bidimensionalmente con ayuda de hexbin, en este caso definimos un tama\u00f1o del grid de 20 (esto se puede elegir como se prefiera)\n", "plt.colorbar() # Colocamos una barra de colores para saber a qu\u00e9 valor corresponden los colores" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 27, "text": [ "" ] }, { "output_type": "display_data", "png": 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IdB36mMOdZfsClAYxogmdHA0HDyGFRuUqjIuEgFQSPXY08tBb6M5utF2+A42v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} ], "prompt_number": 27 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Por \u00faltimo por hoy vamos a dibujar gr\u00e1ficos de flechas. Esto se suele usar para dibujar viento, el movimiento de un fluido, movimiento de part\u00edculas, \u2026 En este caso vamos usar plt.quiver (echadle un ojo tambi\u00e9n a plt.quiverkey y a plt.barbs). Vamos a dibujar flechas de un viento un poco loco en las latitudes y longitudes de la Pen\u00ednsula Ib\u00e9rica (no voy a usar un mapa por debajo, si quer\u00e9is completar el ejemplo usando un mapa pod\u00e9is echarle un ojo a [este ejemplo](http://pybonacci.wordpress.com/2012/04/14/ejemplo-de-uso-de-basemap-y-netcdf4/)):" ] }, { "cell_type": "code", "collapsed": false, "input": [ "lon = np.arange(15) - 10. # Creamos un vector de longitudes\n", "lat = np.arange(15) + 30. # Creamos un vector de latitudes\n", "lon, lat = np.meshgrid(lon, lat) # Creamos un array 2D para las longitudes y latitudes\n", "u = np.random.randn(15 * 15) # Componente x del vector viento que partir\u00e1 desde una lon y una lat determinada\n", "v = np.random.randn(15 * 15) # Componente y del vector viento que partir\u00e1 desde una lon y una lat determinada\n", "colores = ['k','r','b','g','c','y','gray'] # Definimos una serie de colores para las flechas\n", "plt.title('Flechas de un viento un poco loco') # Colocamos un t\u00edtulo\n", "plt.xlabel('longitud') # Colocamos la etiqueta para el efe x\n", "plt.ylabel('latitud') # Colocamos la etiqueta para el eje y\n", "plt.quiver(lon, lat, u, v, color = colores) # Dibujamos las flechas 'locas'" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 28, "text": [ "" ] }, { "output_type": "display_data", "png": 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amQnqK3XrV6hFMO7fB958k/977VrgyJG61aeBEZ8dD7/tfvi/i/+H7/t/jz/G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\nFKVCHQ2FQqFQlAp1NBQKhUJRKv8PyyehBWDOAbMAAAAASUVORK5CYII=\n" } ], "prompt_number": 28 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Los colores los hemos colocado de forma aleatoria solo definiendo ocho colores." ] }, { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "Tipos de gr\u00e1fico (IV)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Para este cap\u00edtulo necesitaremos tener instalados [netCDF4-python](http://code.google.com/p/netcdf4-python/) y [basemap](http://matplotlib.org/basemap/). Los importamos de la siguiente forma:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "import netCDF4 as nc\n", "from mpl_toolkits.basemap import Basemap as Bm" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 29 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Hasta ahora hemos visto como configurar las ventanas, manejo de las mismas, definir \u00e1reas de gr\u00e1fico, algunos tipos de gr\u00e1ficos\u2026 Ahora vamos a ver un \u00faltimo cap\u00edtulo sobre tipos de gr\u00e1ficos. En esta \u00faltima entrada sobre los tipos de gr\u00e1fico hemos metido gr\u00e1ficos que quiz\u00e1 no est\u00e9n muy relacionados entre s\u00ed por lo que quiz\u00e1 este cap\u00edtulo puede parecer un poco caj\u00f3n desastre.\n", "\n", "[Anteriormente](https://pybonacci.wordpress.com/2012/04/14/ejemplo-de-uso-de-basemap-y-netcdf4/) ya hemos usado `Basemap`, un toolkit que da capacidades de generar mapas a `matplotlib`. En este momento vamos a volver a recurrir a esta librer\u00eda para mostrar datos sobre mapas. En el primer caso vamos a dibujar gr\u00e1ficos de barbas de viento ([*wind barbs*](http://en.wikipedia.org/wiki/Station_model#Plotted_winds)) sobre un mapa. Tambi\u00e9n vamos a usar la librer\u00eda `netcdf4-python`, que permite leer, modificar y crear ficheros [*netcdf*](http://www.unidata.ucar.edu/software/netcdf/) as\u00ed como descargarlos desde diferentes *TDS* (servidores de datos [THREDDS](http://www.unidata.ucar.edu/projects/THREDDS/)) de forma muy sencilla. Los datos que usaremos ser\u00e1n datos de viento obtenidos del rean\u00e1lisis [*CFSR*](http://journals.ametsoc.org/doi/pdf/10.1175/2010BAMS3001.1) de la atm\u00f3sfera pero pod\u00e9is usar cualquier otro tipo de datos que se os ocurra:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "url = 'http://nomads.ncdc.noaa.gov/thredds/dodsC/cfsr1hr/200912/wnd10m.l.gdas.200912.grb2' # Ruta al fichero que usaremos\n", "datos = nc.Dataset(url) # Accedemos a los datos" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 30 }, { "cell_type": "markdown", "metadata": {}, "source": [ "El fichero al que hemos accedido no es un fichero *netcdf*, sino que tiene formato [*grib2*](http://www.wmo.int/pages/prog/www/WMOCodes/Guides/GRIB/GRIB2_062006.pdf), pero *netcdf4-python* es \u2018todoterreno\u2019 y nos permite tambi\u00e9n acceder a este tipo de ficheros. Los datos le\u00eddos son datos de viento que corresponden a diciembre de 2009 con pasos temporales de 6 horas. Usaremos solo el campo de vientos que corresponde a las 00:00 UTC del 01/12/2009. Si pon\u00e9is en el prompt `datos.variables` ver\u00e9is un diccionario con las variables disponibles. Vamos a usar *U-component_of_wind*, *V-component_of_wind*, *lon* y *lat*." ] }, { "cell_type": "code", "collapsed": false, "input": [ "u = datos.variables['U-component_of_wind'][0,:,:,:] # Guardamos en memoria el valor u del vector de viento para las 00:00 UTC del 01/12/2009\n", "v = datos.variables['V-component_of_wind'][0,:,:,:] # Guardamos en memoria el valor v del vector de viento para las 00:00 UTC del 01/12/2009\n", "lon = datos.variables['lon'][:] # Guardamos los valores de longitud\n", "lat = datos.variables['lat'][:] # Guardamos los valores de latitud\n", "lons, lats = np.meshgrid(lon, lat) # Hacemos una malla regular 2D para las latitudes y las longitudes" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 31 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Una vez que disponemos de todas las variables pasamos a hacer el gr\u00e1fico representando las barbas de viento. Como en diciembre hace mucho fr\u00edo por Europa vamos a ver los vientos veraniegos que tuvimos en Am\u00e9rica Central y en Am\u00e9rica del sur durante en esa fecha." ] }, { "cell_type": "code", "collapsed": false, "input": [ "m = Bm(llcrnrlon = 260, llcrnrlat = -30, urcrnrlon = 320, urcrnrlat = 30, projection = 'mill') # Definimos el \u00e1rea del gr\u00e1fico y la proyecci\u00f3n\n", "m.drawparallels(np.arange(-180,180,10),labels=[1,1,0,0]) # Dibujamos los paralelos\n", "m.drawmeridians(np.arange(0,360,10),labels=[0,0,0,1]) # Dibujamos los meridianos\n", "m.bluemarble() # Ponemos un mapa 'bonito' de fondo\n", "x, y = m(lons, lats)\n", "m.barbs(x, y, u[0,:,:], v[0,:,:],length=5,barbcolor='w',flagcolor='w',linewidth=0.5) # Y dibujamos los valores del vector viento" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 32, "text": [ "(,\n", " )" ] }, { "output_type": "display_data", "png": 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crFu7ho4d3iMzM4tBQ0YSGxuPwWDg4b2LRESE0/uTQf+Q/OBN0oM/vMDly5Wm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qa+7JU3PpVAfj+xGvSW/HbDTqpn2IgbRQ+1EN3Kk2HnjjyprNP5j0jOgFuk0dCH5d1ZK+r3l1WU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Mh+BdK9MEOmjusjH76/QB588CFJiNFlwphyefDOqbJmzY9y6PAB2bx1k4iIxKXpkpDlkYSz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\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} ], "prompt_number": 32 }, { "cell_type": "markdown", "metadata": {}, "source": [ "En realidad no hemos usado `matplotlib.pyplot.barbs` sino que hemos hecho uso de `barbs` dentro de `basemap` pero su uso es similar. Si no quer\u00e9is dibujar barbas y quer\u00e9is dibujar flechas echadle un ojo a `matplotlib.pyplot.quiver` y a `matplotlib.pyplot.quiverkey` ([aqu\u00ed ten\u00e9is ejemplos que os pueden ayudar](http://matplotlib.github.com/basemap/users/examples.html)).\n", "\n", "Pod\u00e9is encontrar muchos ejemplos de como usar `matplotlib.pyplot` ([en algunos casos usando pylab](http://matplotlib.sourceforge.net/examples/pylab_examples/index.html))." ] }, { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "Texto y anotaciones" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Hasta ahora hemos visto como configurar las ventanas, manejo de las mismas, definir \u00e1reas de gr\u00e1fico, algunos tipos de gr\u00e1ficos\u2026 En esta ocasi\u00f3n nos interesa ver como podemos meter anotaciones, tablas,\u2026, en nuestros gr\u00e1ficos.\n", "\n", "A lo largo de las anteriores entregas del tutorial hemos podido ver algunas formas de tener anotaciones t\u00edpicas para el t\u00edtulo, los ejes, leyenda,\u2026 (`title`, `suptitle`, `xlabel`, `ylabel`, `figtext`, `legend`,\u2026). En este caso vamos a revisar las posibilidades de escribir texto personalizado mediante el uso de [`plt.text`](http://matplotlib.sourceforge.net/api/pyplot_api.html#matplotlib.pyplot.text), [`plt.arrow`](http://matplotlib.sourceforge.net/api/pyplot_api.html#matplotlib.pyplot.arrow), [`plt.annotate`](http://matplotlib.sourceforge.net/api/pyplot_api.html#matplotlib.pyplot.annotate) y [`plt.table`](http://matplotlib.sourceforge.net/api/pyplot_api.html#matplotlib.pyplot.table).\n", "\n", "Como caso sencillo para anotar texto en nuestro gr\u00e1fico podemos usar `plt.text`. En el siguiente ejemplo vamos a resaltar donde est\u00e1 el valor m\u00e1ximo y el valor m\u00ednimo de una serie de datos:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "a = np.random.rand(10) # Creamos una serie de 10 valores pseudo-aleatorios entre 0 y 1\n", "plt.plot(a) # Los dibujamos\n", "plt.ylim(-0.2, 1.2) # Definimos el rango de valores para el eje y\n", "plt.text(np.argmin(a), np.min(a) - 0.1, u'M\u00ednimo', \n", " fontsize = 10, horizontalalignment='center', verticalalignment='center') # Colocamos texto cerca del valor donde se encuentra el m\u00ednimo\n", "plt.text(np.argmax(a), np.max(a) + 0.1, u'M\u00e1ximo', \n", " fontsize = 10, horizontalalignment='center', verticalalignment='center') # Colocamos texto cerca del valor donde se encuentra el m\u00e1ximo" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 33, "text": [ "" ] }, { "output_type": "display_data", "png": 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KyhKiRg16Hw8fVjoaeVhU4sjKyhJffvmlqF+/vrCzsxM1a9YUU6ZMEY8fP9Z7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\nBuzs7PSep9FoAOC5vaqedeLECfTo0QM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} ], "prompt_number": 33 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Lo que hemos hecho en `plt.text` es definir la posici\u00f3n del texto con un valor para la *x* y un valor para la *y* (en el sistema de referencia de los datos), la cadena de texto a mostrar, como queremos que sea la fuente, donde queremos que vaya colocado, si la queremos rotar, si la queremos en negrita,\u2026\n", "\n", "Al anterior ejemplo le podemos incluir una flecha que una el texto con la representaci\u00f3n del valor m\u00e1ximo y del valor m\u00ednimo. Para ello podemos usar `plt.arrow` modificando ligeramente el anterior c\u00f3digo:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "plt.plot(a)\n", "plt.ylim(-0.5, 1.5) # Extendemos un poco el rango del eje y\n", "plt.text(np.argmax(a), np.max(a) + 0.4, u'M\u00e1ximo', fontsize = 10, horizontalalignment='center', verticalalignment='center') # Recolocamos el texto del m\u00e1ximo\n", "plt.text(np.argmin(a), np.min(a) - 0.4, u'M\u00ednimo', fontsize = 10, horizontalalignment='center', verticalalignment='center') # Recolocamos el texto del m\u00ednimo\n", "plt.arrow(np.argmax(a), np.max(a) + 0.3, 0, -0.3, length_includes_head = \"True\", shape = \"full\", width=0.07, head_width=0.1) # Unimos el texto al valor representado\n", "plt.arrow(np.argmin(a), np.min(a) - 0.3, 0, 0.3, length_includes_head = \"True\", shape = \"full\", width=0.07, head_width=0.1) # Unimos el texto al valor representado" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 34, "text": [ "" ] }, { "output_type": "display_data", "png": 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} ], "prompt_number": 34 }, { "cell_type": "markdown", "metadata": {}, "source": [ "En `plt.arrow` hemos de definir el origen de la flecha, la distancia desde ese origen hasta el otro extremo de la flecha, si queremos que tenga cabecera, si queremos que la cabecera est\u00e9 en el origen, el color de la flecha,\u2026\n", "\n", "Lo que hemos hecho con `plt.text` y con `plt.arrow` lo podemos hacer de forma m\u00e1s compacta y elegante con `plt.annotate`. Como anteriormente, hacemos uso de un ejemplo y vamos viendo las partes a modificar de `plt.annotate`:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "plt.plot(a)\n", "plt.ylim(-0.5, 1.5) # Extendemos un poco el rango del eje y\n", "plt.annotate(u'M\u00e1ximo', xy = (np.argmax(a), np.max(a)), \n", " xycoords = 'data', xytext = (np.argmax(a) - 1.5, \n", " np.max(a) + 0.4), textcoords = 'data', arrowprops = dict(arrowstyle = \"->\"))\n", "plt.annotate(u'M\u00ednimo', xy = (np.argmin(a), np.min(a)), \n", " xycoords = 'data', xytext = (np.argmin(a) + 1, \n", " np.min(a) + 1.2), textcoords = 'data', arrowprops = dict(arrowstyle = \"->\"))" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 35, "text": [ "" ] }, { "output_type": "display_data", "png": 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DZ2VFdPVq0V4zbJj4mg8+MO8v6Pnz58nNzY3S0tIK3VahIJo+3fiTFBpaZqZm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\n" } ], "prompt_number": 35 }, { "cell_type": "markdown", "metadata": {}, "source": [ "En `plt.annotate` introducimos la cadena de caracteres a mostrar, indicamos hacia donde apuntar\u00e1 esa cadena de caracteres (*xy*, en este caso estamos usando el sistema de referencia de los datos, 'data', pero podemos usar p\u00edxeles, puntos,\u2026), la posici\u00f3n del texto (*xytext*), y como se representar\u00e1 la flecha. Con `plt.annotate` podemos tener anotaciones elegantes de forma sencilla como puedes ver en estos enlaces [[1]](http://matplotlib.sourceforge.net/mpl_examples/pylab_examples/annotation_demo2_00.png), [[2]](http://matplotlib.sourceforge.net/mpl_examples/pylab_examples/annotation_demo2_01.png).\n", "\n", "Por \u00faltimo, vamos a ver como podemos dibujar una tabla de forma sencilla. Con `plt.table` podemos meter r\u00e1pidamente una tabla pero por defecto la mete debajo del eje *x*. Vamos a ver un [ejemplo que he encontrado en SO](http://stackoverflow.com/questions/8524401/how-can-i-place-a-table-on-a-plot-in-matplotlib) donde metemos la tabla dentro de los ejes." ] }, { "cell_type": "code", "collapsed": false, "input": [ "valores = [[np.argmax(a), np.argmin(a)], [np.max(a), np.min(a)]]\n", "etiquetas_fil = ('x', 'y')\n", "etiquetas_col = (u'M\u00e1ximo', u'M\u00ednimo')\n", "plt.plot(a)\n", "plt.table(cellText=valores, rowLabels=etiquetas_fil, colLabels = etiquetas_col, colWidths = [0.3]*len(a), loc='upper center')" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 36, "text": [ "" ] }, { "output_type": "display_data", "png": 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oww8/pF69elHfvn1pxIh1BBA1bkz04otTlNEj9erVox07dhAR0b/+9S9q2rQpTZkyRdln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\nvwET9yI+K2bn1AAAAABJRU5ErkJggg==\n" } ], "prompt_number": 36 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Donde hemos definido los valores de las celdas internas (cellText), Las etiquetas de filas y columnas (rowLabels y colLabels), el ancho de las celdas y la localizaci\u00f3n de la tabla." ] }, { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "Miscel\u00e1nea" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Despu\u00e9s de dar un repaso por toda la librer\u00eda, obviando algunas funciones estad\u00edsticas y eventos, vamos a acabar este tutorial viendo algunas funciones que sirven para leer y guardar im\u00e1genes." ] }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Leyendo im\u00e1genes externas, guardando gr\u00e1ficos,..." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Imaginad que quer\u00e9is usar una imagen de fondo, por ejemplo vuestro nombre, o las siglas de creative commons o una foto,\u2026, en vuestros gr\u00e1ficos. Para el ejemplo que vamos a ver a continuaci\u00f3n vamos a usar la imagen que est\u00e1 en [el siguiente enlace](http://images3.wikia.nocookie.net/__cb57524/es/images/1/13/Cc.large.png) como fondo (gu\u00e1rdala en local para poder leerla)." ] }, { "cell_type": "code", "collapsed": false, "input": [ "background = plt.imread('imgs/Cc.large.png') # Leemos la imagen que queremos usar de fondo, lo que escrib\u00e1is entre comillas es la ruta a la imagen\n", "x = np.arange(background.shape[1]) # Definimos valores de x\n", "y = np.random.rand(background.shape[0]) * background.shape[0] # Definimos valores de y\n", "plt.plot(x, y) # Dibujamos la serie\n", "plt.imshow(background, alpha = 0.25) # Creamos el fondo con una transparencia del 0.10 (1 es opaco y 0 es transparente)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 37, "text": [ "" ] }, { "output_type": "display_data", "png": 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oqYl+dxInQoL1xqpP4NQptuGroKAAxcXFrvRalmFVw7PPqv/N0bpAx7CJxFOd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\nfwU0hRdCRQzAAAAAAElFTkSuQmCC\n" } ], "prompt_number": 37 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Con [`plt.imread`](http://matplotlib.sourceforge.net/api/pyplot_api.html#matplotlib.pyplot.imread) lo que hacemos es leer una imagen y convertirla en un *numpy array* que m\u00e1s tarde podemos utilizar como queramos (en este caso, como fondo para la imagen). Con [`plt.imshow`](http://matplotlib.sourceforge.net/api/pyplot_api.html#matplotlib.pyplot.imshow) lo que hemos hecho es mostrar la imagen en pantalla. Por \u00faltimo, que sep\u00e1is que tambi\u00e9n existe [`plt.imsave`](http://matplotlib.sourceforge.net/api/pyplot_api.html#matplotlib.pyplot.imsave), que permite guardar un *numpy array* como una imagen.\n", "\n", "Por \u00faltimo, pero no por ello menos importante, quedar\u00eda el uso [`plt.savefig`](http://matplotlib.sourceforge.net/api/pyplot_api.html#matplotlib.pyplot.savefig), que nos permite guardar cualquiera de las figuras que hemos ido creando a lo largo de todo el tutorial. Para el anterior caso, solo tenemos que a\u00f1adir lo siguiente al c\u00f3digo de m\u00e1s arriba:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "plt.savefig('imgs/imagen_con_fondo_cc.png')" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 38 }, { "cell_type": "markdown", "metadata": {}, "source": [ "La funci\u00f3n [`plt.savefig`] permite definir la resoluci\u00f3n de la imagen, el formato de salida (por defecto, `matplotlib` solo permite los formatos *png*, *eps*, *ps*, *png* y *svg*, si queremos usar otros formatos har\u00eda falta instalar otras librer\u00edas (o bibliotecas) como [PIL](http://www.pythonware.com/products/pil/)), la orientaci\u00f3n de la figura,\u2026" ] }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Creando animaciones" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Para esta parte se usa [**ffmpeg**](http://ffmpeg.org/) como librer\u00eda externa que usar\u00e1 `matplotlib` para crear el video de la animaci\u00f3n (aunque tambi\u00e9n puede usar [**mencoder**](http://www.mplayerhq.hu/design7/news.html)). Puede que los usuarios de windows tengan problemas al guardar el video si **ffmpeg** no est\u00e1 instalado y/o correctamente configurado para que [`matplotlib` pueda trabajar con **ffmpeg**](https://github.com/matplotlib/matplotlib/issues/760).\n", "\n", "Hay varias formas de hacer una animaci\u00f3n usando [`FuncAnimation`](http://matplotlib.org/api/animation_api.html#matplotlib.animation.FuncAnimation), [`ArtistAnimation`](http://matplotlib.org/api/animation_api.html#matplotlib.animation.ArtistAnimation) y/o [`TimedAnimation`](http://matplotlib.org/api/animation_api.html#matplotlib.animation.TimedAnimation). Las dos primeras formas son clases que heredan de la tercera mientras que la tercera hereda de la clase base [`Animation`](http://matplotlib.org/api/animation_api.html#matplotlib.animation.Animation).\n", "\n", "Para este ejemplo de como hacer una animaci\u00f3n con `matplotlib` y **ffmpeg** vamos a usar `FuncAnimation` y vamos a representar la evoluci\u00f3n de un *atractor de Lorenz en 3D*.\n", "\n", "Como siempre, primero importamos todo lo necesario:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "import matplotlib.pyplot as plt\n", "from matplotlib import animation\n", "from mpl_toolkits.mplot3d.axes3d import Axes3D\n", "import numpy as np\n", "from scipy.integrate import odeint" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 39 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Ahora inicializamos la figura que se usar\u00e1 en la animaci\u00f3n." ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig = plt.figure()\n", "ax = fig.add_subplot(111, projection='3d')\n", "#ax = Axes3D(fig)\n", "ax.azim = 45\n", "ax.elev = 45\n", "ax.set_xlabel('Eje X')\n", "ax.set_ylabel('Eje Y')\n", "ax.set_zlabel('Eje Z')\n", "ax.set_xticklabels('')\n", "ax.set_yticklabels('')\n", "ax.set_zticklabels('')\n", "linea, = ax.plot([], [], [], label = 'Lorenz', lw = 0.5)\n", "ax.legend()\n", "ax.set_xlim(-20,20)\n", "ax.set_ylim(-30,30)\n", "ax.set_zlim(0,50)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 40, "text": [ "(0, 50)" ] }, { "output_type": "display_data", "png": 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waFqFM70LhBq/r5XuhXzsGEHQRLpkwZDlF4lEUF9fj5qaGvTq1cvSlURqxTJK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\nk65GfPvtt3jzzTcxZMgQnHnmmQAgWEJ+vx/nnHMO5s2bh2u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} ], "prompt_number": 40 }, { "cell_type": "markdown", "metadata": {}, "source": [ "El c\u00e1lculo de los par\u00e1metros del *atractor de Lorenz* los realiza la funci\u00f3n `integra` que pod\u00e9is ver a continuaci\u00f3n:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "def integra(ccii, t):\n", "\n", " x = ccii[0] ## Posici\u00f3n inicial\n", " y = ccii[1] ## Posici\u00f3n inicial\n", " z = ccii[2] ## Posici\u00f3n inicial\n", "\n", " sigma = 10 ## Par\u00e1metros que se pueden ver en:\n", " rho = 28 ## http://en.wikipedia.org/wiki/Lorenz_system\n", " beta = 8.0/3 ##\n", "\n", " dx = sigma * (y - x) ## Sistema de ecuaciones\n", " dy = x * (rho -z) - y ## diferenciales de\n", " dz = x * y - beta* z ## Lorenz\n", "\n", " return [dx, dy, dz]" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 41 }, { "cell_type": "markdown", "metadata": {}, "source": [ "`FuncAnimation` puede usar una funci\u00f3n inicializadora, que es la que crear\u00eda el *frame* o fotograma inicial. En el presente caso no usaremos una funci\u00f3n inicializadora puesto que normalmente no he visto que sea muy necesario (puede que est\u00e9 equivocado).\n", "\n", "Adem\u00e1s de la funci\u00f3n inicializadora, `FuncAnimation` necesitar\u00e1 otra funci\u00f3n que es la que realiza la animaci\u00f3n en s\u00ed y que llamaremos, en este caso, `anima`." ] }, { "cell_type": "code", "collapsed": false, "input": [ "def anima(i, x0, y0, z0):\n", "\n", " t = np.arange(0, (i + 1) / 10., 0.01) ## Paso temporal\n", " ccii = [x0, y0, z0] ## Posici\u00f3n inicial\n", "\n", " ## Integraci\u00f3n de las\n", " ## ecs. de Lorenz mediante\n", " ## scipy.integrate.odeint\n", " ## http://docs.scipy.org/doc/scipy/reference/generated/scipy.integrate.odeint.html\n", " ## odeint usa la funci\u00f3n integra\n", " ## que hemos creado anteriormente\n", " ## con las condiciones iniciales (ccii)\n", " ## y los pasos temporales (t)\n", " soluc = odeint(integra, ccii, t)\n", "\n", " x = soluc[:,0] ## Posici\u00f3n x\n", " y = soluc[:,1] ## Posici\u00f3n y\n", " z = soluc[:,2] ## Posici\u00f3n z\n", "\n", " ax.elev = 45 + i / 2. ## Vamos rotando el\n", " ax.azim = 45 + i / 2. ## punto de vista\n", "\n", " linea.set_data(x, y) ## Asignamos datos para ir\n", " linea.set_3d_properties(z) ## dibujando la trayectoria\n", "\n", " return linea, " ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 42 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Por \u00faltimo, nos faltar\u00eda crear la animaci\u00f3n en s\u00ed. Eso lo conseguiremos usando el c\u00f3digo de m\u00e1s abajo. A la clase `FuncAnimation` le pasaremos una serie de par\u00e1metros. El primero ser\u00e1 *fig*, que hemos creado anteriormente. Despu\u00e9s hemos puesto la funci\u00f3n que realiza la animaci\u00f3n, en nuestro caso se llama `anima` y ha sido definida en la anterior pieza de c\u00f3digo. Despu\u00e9s se le pasa el n\u00famero de frames que se va a usar. Este n\u00famero de frames es el par\u00e1metro *i* que recibe la funci\u00f3n `anima`. El siguiente par\u00e1metro se llama *fargs*. que son los argumentos restantes que le pasamos a la funci\u00f3n `anima`, en este caso (0, 1, 1.05) son los valores para *x0*, *y0*, *z0* en la funci\u00f3n `anima`. Lo siguiente que aparece es el par\u00e1metro *interval* que indica el intervalo entre frames en milisegundos y por \u00faltimo hemos puesto *blit = True* que indica que la imagen no se recalcula entera sino que simplemente se actualizan las partes nuevas obtenidas en cada nuevo frame. Esto \u00faltimo permite que sea m\u00e1s r\u00e1pido." ] }, { "cell_type": "code", "collapsed": false, "input": [ "anim = animation.FuncAnimation(fig, anima, frames = 500, fargs = (0, 1, 1.05),\n", " interval = 5, blit = True)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 43 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Por \u00faltimo nos quedar\u00eda guardar el resultado. El siguiente c\u00f3digo creara una serie de im\u00e1genes temporales que despu\u00e9s usar\u00e1 **ffmpeg** para crear el video y que se eliminar\u00e1n posteriormente. Aparecer\u00e1n tantas im\u00e1genes como *frames* o fotogramas hayamos puesto en el c\u00f3digo anterior. Tened esto en cuenta si ten\u00e9is poco espacio en disco. En nuestro caso, el v\u00eddeo se llama **Atractor_de_Lorenz(pybonacci).mp4**." ] }, { "cell_type": "code", "collapsed": false, "input": [ "anim.save('imgs/Atractor_de_Lorenz(pybonacci).mp4', fps = 10)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 44 }, { "cell_type": "markdown", "metadata": {}, "source": [ "La salida del anterior c\u00f3digo mostrar\u00e1:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from IPython.display import YouTubeVideo\n", "\n", "YouTubeVideo(\"bFfCG-N8R8E\")" ], "language": "python", "metadata": {}, "outputs": [ { "html": [ "\n", " \n", " " ], "output_type": "pyout", "prompt_number": 2, "text": [ "" ] } ], "prompt_number": 2 } ], "metadata": {} } ] }