{ "metadata": { "name": "", "signature": "sha256:17ad8b7461e87e121a2c9ac21039a682c52a3a279ac81b765ee208013b4ebf75" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Matplotlib - gr\u00e1ficos 2D y 3D en Python\n", "\n", "Versi\u00f3n original en ingl\u00e9s de J.R. Johansson (robert@riken.jp) http://dml.riken.jp/~rob/\n", "\n", "Traducido/Adaptado por [G.F. Rubilar](http://google.com/+GuillermoRubilar).\n", "\n", "La \u00faltima versi\u00f3n de estos [notebooks de IPython](http://ipython.org/notebook.html) est\u00e1 disponible en [http://github.com/gfrubi/clases-python-cientifico](http://github.com/gfrubi/clases-python-cientifico).\n", "\n", "La \u00faltima versi\u00f3n del original (en ingl\u00e9s) de estos [notebooks de IPython](http://ipython.org/notebook.html) est\u00e1 disponible en [http://github.com/jrjohansson/scientific-python-lectures](http://github.com/jrjohansson/scientific-python-lectures).\n", "\n", "Los otros notebooks de esta serie est\u00e1n listados en [http://jrjohansson.github.com](http://jrjohansson.github.com)." ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Esta l\u00ednea configura matplotlib para que muestre figuras en el cuaderno IPython, \n", "# en lugar de en una ventana nueva. M\u00e1s detalles abajo. \n", "%matplotlib inline" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 1 }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Introducci\u00f3n\n", "\n", "Matplotlib es una excelente librer\u00eda gr\u00e1fica 2D y 3D. Algunas de las muchas ventajas de esta librer\u00eda son:\n", "\n", "* Es f\u00e1cil comenzar a crear gr\u00e1ficos.\n", "* Incluye soporte para $\\LaTeX$ en leyendas y textos.\n", "* Mucho control de cada elemento de la figura, incluyendo el tama\u00f1o y la densidad de puntos (DPI). \n", "* Formatos de salida de alta calidad, incluyendo PNG, PDF, SVG, EPS.\n", "* GUI para la exploraci\u00f3n interactiva de figuras *y* soporte para la generaci\u00f3n \"headless\" de archivos de figuras.\n", "\n", "Una de las caracter\u00edsticas claves de Matplotlib y que hace a Matplotlib altamente adecuado para generar figuras para publicaciones cient\u00edficas es que todos los aspectos de la figura pueden ser controlados en *programando*. Esto es imporante para la reproducibilidad y conveniente cuando se necesita regenerar la figura con datos actualizados o cambios en su apariencia.\n", "\n", "M\u00e1s informaci\u00f3n en la p\u00e1gina de Matplotlib: http://matplotlib.org/" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# API tipo MATLAB\n", "\n", "Una forma sencilla para comenzar a graficar usando Matplotlib es usando la API tipo MATLAB que Matplotlib suministra, a trav\u00e9s del m\u00f3dulo 'matplotlib.pyplot'.\n", "\n", "Esta API est\u00e1 dise\u00f1ada para que sea compatible con las funciones para graficar de MATLAB, de modo que resulta f\u00e1cil para aquellos acostumbrados a usar MATLAB.\n", "\n", "Importamos entonces el m\u00f3dulo `pyplot`: " ] }, { "cell_type": "code", "collapsed": false, "input": [ "from matplotlib.pyplot import *" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 2 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Ejemplo\n", "\n", "Una figura simple usando la API tipo MATLAB:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from numpy import *\n", "x = linspace(0,5,50)\n", "y = x**2" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 3 }, { "cell_type": "code", "collapsed": false, "input": [ "plot(x,y,'r')\n", "xlabel('x')\n", "ylabel('y')\n", "title(u'T\u00edtulo') # el caracter `u` es necesario para incluir acentos en el texto\n", "show() # muestra el gr\u00e1fico en una ventana, si no se ha usado %matplotlib inline" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 4 }, { "cell_type": "markdown", "metadata": {}, "source": [ "La mayor\u00eda de las funciones gr\u00e1ficas de MATLAB est\u00e1n includas en el m\u00f3dulo `pyplot`. Por ejemplo, las funciones subplot y color/symbol:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "subplot(1,2,1)\n", "plot(x, y, 'r--')\n", "subplot(1,2,2)\n", "plot(y, x, 'g*-');" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 5 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Lo positivo de la API tipo MATLAB Pyplot es que es f\u00e1cil comenzar si ya se sabe usar MATLAB, y que requiere un m\u00ednimo de c\u00f3digo para producir gr\u00e1ficos simples. \n", "\n", "Sin embargo, esta API no es la m\u00e1s adecuada cuando se requiere producir gr\u00e1ficos complejos y/o se requiere controlar cada aspecto del gr\u00e1fico. En este caso, es recomendable aprender y usar la API gr\u00e1fica orientada al objeto de Matplotlib. Es muy poderosa y agradable de usar en caso de requerir figuras avanzadas, con sub-gr\u00e1ficos, objetos insertados y otros componentes." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# La API orientada al objeto de Matplotlib\n", "\n", "La idea principal de la programaci\u00f3n orientada al objeto is que se tienen objetos sobre los cuales se pueden aplicar funciones y acciones, y que ning\u00fan estado de un objeto o programa debe ser global (tal como en la API tipo MATLAB). La ventaja de esta forma de trabajo se manifiesta cuando se requiere crear m\u00e1s de una figura, o cuando una figura contiene sub-figuras. \n", "\n", "Para usar la API orientada al objeto comenzamos similarmente al ejemplo anterior, pero en lugar de crear una instancia de figura global almacenamos una referencia a la figura reci\u00e9n creada en la variable `fig`, y a partir de ella creamos nuevos ejes `axes` usando el m\u00e9todo `add_axes` en la instancia `fig` de la clase `Figure`." ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig = figure()\n", "\n", "ejes = fig.add_axes([0.1, 0.1, 0.8, 0.8]) # izquierda, abajo, ancho, altura (rango 0 a 1)\n", "\n", "ejes.plot(x,y,'r')\n", "\n", "ejes.set_xlabel('x')\n", "ejes.set_ylabel('y')\n", "ejes.set_title(u'T\u00edtulo');" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 6 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Aunque se requiere algo m\u00e1s de c\u00f3digo, la ventaja es que ahora tenemos control completo sobre d\u00f3nde se ubican los ejes, y adem\u00e1s podemos agregar f\u00e1cilmente m\u00e1s de un eje a la figura." ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig = figure()\n", "\n", "axes1 = fig.add_axes([0.1, 0.1, 0.8, 0.8]) # ejes principales\n", "axes2 = fig.add_axes([0.2, 0.5, 0.4, 0.3]) # ejes del gr\u00e1fico insertado\n", "\n", "# figura principal\n", "axes1.plot(x,y,'r')\n", "axes1.set_xlabel('x')\n", "axes1.set_ylabel('y')\n", "axes1.set_title(u'T\u00edtulo principal')\n", "\n", "# figura insertada\n", "axes2.plot(y,x,'g')\n", "axes2.set_xlabel('y')\n", "axes2.set_ylabel('x')\n", "axes2.set_title(u'T\u00edtulo secundario');" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 7 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Si no nos importa ser expl\u00edcitos sobre d\u00f3nde estar\u00e1n ubicados los ejes en el marco de nuestra figura, podemos usar uno de los muchos administradores de la distribuci\u00f3n de los ejes que tiene Matplotlib. Un favorito es `subplots`, que puede ser usado de la forma siguiente:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig, axes = subplots() # crea una nueva figura y un set de ejes\n", "\n", "axes.plot(x,y,'r')\n", "axes.set_xlabel('x')\n", "axes.set_ylabel('y')\n", "axes.set_title(u'T\u00edtulo');" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 8 }, { "cell_type": "code", "collapsed": false, "input": [ " # crea una figura, con dos set de ejes, almacenados en el array axes\n", "fig, axes = subplots(nrows=1, ncols=2)\n", "\n", "for ax in axes:\n", " ax.plot(x, y, 'r')\n", " ax.set_xlabel('x')\n", " ax.set_ylabel('y')\n", " ax.set_title(u'T\u00edtulo');" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 9 }, { "cell_type": "markdown", "metadata": {}, "source": [ "F\u00e1cil, pero no tan bonito debido a la superposici\u00f3n de los ejes y etiquetas en la parte central, cierto?\n", "\n", "Podemos mejorar esto usando el m\u00e9todo `fig.tight_layout`, que ajusta autom\u00e1ticamente la posici\u00f3n de los ejes en el marco de la figura de modo que no exista contenido que se superponga:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig, axes = subplots(nrows=1, ncols=2)\n", "\n", "for ax in axes:\n", " ax.plot(x, y, 'r')\n", " ax.set_xlabel('x')\n", " ax.set_ylabel('y')\n", " ax.set_title(u'T\u00edtulo')\n", " \n", "fig.tight_layout()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 10 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Tama\u00f1o de la figura, proporci\u00f3n de los ejes y DPI\n", "\n", "Matplotlib permite especificar la proporci\u00f3n de los ejes, la densidad de puntos (DPI) y el tama\u00f1o de la figura cuando el objeto `Figure` es creado, usando los argumentos `figsize` y `dpi`. `figsize` es una tupla con el ancho y la altura de la figura en pulgadas, y `dpi` es el n\u00famero de puntos (pixels) por pulgada. Para crear una figura de 800 por 400 pixels podemos usar:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig = figure(figsize=(8,4), dpi=100)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "text": [ "" ] } ], "prompt_number": 11 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Los mismos argumentos pueden ser usados en los administradores de distribuci\u00f3n de ejes, como `subplots`." ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig, axes = subplots(figsize=(12,3))\n", "\n", "axes.plot(x, y, 'r')\n", "axes.set_xlabel('x')\n", "axes.set_ylabel('y')\n", "axes.set_title(u'T\u00edtulo');" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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Goh3jvZ1/qopQhligXUz8UFVvNk5bYM4QK8u1tUuiEEkFoz0wheg7W59wLUqP\n64GuxA9TtmQUt+8CTxNtni6+qK7TgT5EC3Av4LL6Piltgbkhh5pIUlYJsTIwHbgp4VqUPtuIjaFH\nJV2IEtUbuIDY0PUo0A94PMmClCpVNY+VwDQK5KRpDzXRjvTGnc3aXkfgYeCHSReiVOkKnFZz3xa4\nhwhLEsBB+GeJckrIbRLOfr84L7FqGslDTVTXz4mRchuJXsTjki1HKVEKbCY3CmgR8IskC1IqdAVm\nEYsvrwO/TbYcpUxvnJKhnPbE3zZkx8pdiW07kiRJkiRJkiRJkiRJkiRJkiRJkiRJkiRJkiRJkiRJ\nkiRJkiRJkiRJLceXgWeB1jXXU8BJiVYkSS2Ix/9JUstwE3EU9FagC/CTZMuRJEmS0qUzsBSYQ6wy\nS5KayB5JFyBJajIbieDcJulCJKklsSVDklqGm4FHgYFACXBZsuVIkiRJ6fFV4N6a+xLgFeDk5MqR\nJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJBWC/w/oM+nhGf0+hQAAAABJRU5ErkJg\ngg==\n", "text": [ "" ] } ], "prompt_number": 12 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Guardando figuras\n", "\n", "Para guardar una figura en un archivo podemos usar el m\u00e9todo `savefig` en la clase `Figure`. " ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig.savefig(\"archivo.png\")" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 13 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Podemos, en forma opcional, especificar los DPI, adem\u00e1s de elegir entre varios formatos." ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig.savefig(\"archivo.png\", dpi=200)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 14 }, { "cell_type": "code", "collapsed": false, "input": [ "fig.savefig(\"archivo.svg\")" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 15 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### \u00bfQu\u00e9 formatos est\u00e1n disponibles y cu\u00e1les deber\u00edan ser usados para objener la mejor calidad?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Matplotlib puede crear gr\u00e1ficos de alta calidad en varios formatos, incluyendo PNG, JPG, EPS, SVG y PDF. Para publicaciones cient\u00edficas, se recomienda usar PDF donde sea posible (y compilar documentos LaTeX con `pdflatex`, que puede incluir las figuras en PDF usando el comando `includegraphics`." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Leyendas, etiquetas y t\u00edtulos\n", "\n", "Ahora que hemos cubierto lo b\u00e1sico de c\u00f3mo generar un marco de figura y agregar ejes al marco, veamos c\u00f3mo decorar una figura con t\u00edtulos, etiquetas de ejes y leyendas:" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**T\u00edtulos de figura**\n", "\n", "Se puede agregar un t\u00edtulo a cada instancia de ejes de una figura. Para definir el t\u00edtulo usamos el m\u00e9todo `set_title` en la instancia de ejes:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "ax.set_title(u\"T\u00edtulo\")" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 16, "text": [ "" ] } ], "prompt_number": 16 }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Etiquetas de ejes**\n", "\n", "Similarmente, usandos los m\u00e9todos `set_xlabel` y `set_ylabel` podemos definir las etiquetas de los ejes X e Y:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "ax.set_xlabel(\"x\")\n", "ax.set_ylabel(\"y\")" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 17, "text": [ "" ] } ], "prompt_number": 17 }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Leyendas**\n", "\n", "Las leyendas de las curvas (o puntos, etc.) de una figura pueden ser agregados de dos maneras. Podemos usar el m\u00e9todo `legend` de un eje y pasarle una lista/tupla de textos de lygendas para las curvas que ya han sido creadas previamente:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "ax.legend([\"curva1\", \"curva2\", \"curva3\"]);" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 18 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Este m\u00e9todo sigue la API de MATLAB. Tiende a inducir a error y es poco flexible si se agregan o eliminan curvas de una figura (y como resultado se obtienen leyendas erroneamente asociadas a las curvas).\n", "\n", "Es mejor usar los argumentos `label=\"texto\"` cuando se agregan gr\u00e1ficos u otros objetos a la figura, y luego usar el m\u00e9todo `legend` sin argumentos para agregar las leyendas:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "ax.plot(x, x**2, label=\"curva1\")\n", "ax.plot(x, x**3, label=\"curva2\")\n", "ax.legend();" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 19 }, { "cell_type": "markdown", "metadata": {}, "source": [ "La ventaja de este m\u00e9todo es que si se agregan o eliminan curvas a una figura, las leyendas se actualizan autom\u00e1ticamente.\n", "\n", "La funci\u00f3n `legend` acepta el argumento adicional `loc` que puede ser usado para especificar d\u00f3nde se ubicar\u00e1 la leyenda en la figura. Los valores permitidos para `loc` son n\u00fameros que codifican los distintos lugares donde puede ser ubicada la leyenda. Ver [http://matplotlib.org/users/legend_guide.html#legend-location](http://matplotlib.org/users/legend_guide.html#legend-location) para m\u00e1s detalles. Las alternativas m\u00e1s comunes son:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "ax.legend(loc=0) # deja que Matplotlib decida la ubicaci\u00f3n \u00f3ptima\n", "ax.legend(loc=1) # esquina superior derecha\n", "ax.legend(loc=2) # esquina superior izquierda\n", "ax.legend(loc=3) # esquina inferior izquierda\n", "ax.legend(loc=4) # esquina inferior derecha\n", "# .. muchas otras opciones disponiles" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 20, "text": [ "" ] } ], "prompt_number": 20 }, { "cell_type": "markdown", "metadata": {}, "source": [ "La siguiente figura muestra c\u00f3mo usar los t\u00edtulos, etiquetas de ejes y leyendas descritas anteriormente:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig, ax = subplots()\n", "\n", "ax.plot(x, x**2, label=\"y = x**2\")\n", "ax.plot(x, x**3, label=\"y = x**3\")\n", "ax.set_xlabel('x')\n", "ax.set_ylabel('y')\n", "ax.set_title(u'T\u00edtulo')\n", "ax.legend(loc=2); # esquina superior izquierda" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 21, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 21 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Formateando texto: LaTeX, tama\u00f1o de letras, familia del tipo de letra\n", "\n", "La figura anterior es funcional, pero (a\u00fan) no satisface los criterior para una figura usada en una publicaci\u00f3n. Primero, necesitamos tener texto formateado en LaTeX, y adem\u00e1s necesitamos poder ajustar el tama\u00f1o de las letras que aparecen en la publicaci\u00f3n.\n", "\n", "Matplotlib tiene un muy buen soporte de LaTeX. Lo \u00fanico que se requiere hacer es usar el signo $ para encapsular cualquier texto (leyenda, t\u00edtulo, etiqueta, etc.). Por ejemplo `\"$y=x^3$\"`.\n", "\n", "Aqu\u00ed, sin embargo, podemos encontrarnos con un sutil problema con el c\u00f3digo LaTeX y las cadenas de texto de Python. En LaTeX frecuentemente usamos el backslash \\ en los comandos, por ejemplo `\\alpha` para producir el s\u00edmbolo $\\alpha$. Pero \\ ya tiene un significado en las cadenas Python (el caracter de escape). Para evitar que Python malinterprete nuestro c\u00f3digo LaTeX necesitamos usar cadenas de textos \"crudas\" (\"raw\"). Las cadenas de texto crudas son precedidas por 'r', por ejemplo `r\"\\alpha\"` o `r'\\alpha'` en lugar de `\"\\alpha\"` y `'\\alpha'`.\n", "\n" ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig, ax = subplots()\n", "\n", "ax.plot(x, x**2, label=r\"$y = \\alpha^2$\")\n", "ax.plot(x, x**3, label=r\"$y = \\alpha^3$\")\n", "ax.set_xlabel(r'$\\alpha$', fontsize=18)\n", "ax.set_ylabel(r'$y$', fontsize=18)\n", "ax.set_title(u'T\u00edtulo')\n", "ax.legend(loc=2); # esquina superior izquierda" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 22, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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UlsSj8x/lg/s/oG7lulaXUyg6g1tExEWeXvI0qfZUPh/4udWlXENncIuIuIlFUYtYfXy1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\nAABJRU5ErkJggg==\n", "text": [ "" ] } ], "prompt_number": 22 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Podemos tambi\u00e9n cambiar el tama\u00f1o y el tipo de letra globalmente, de modo que se aplique a todos los textos de una figura (etiquedas num\u00e9ricas, etiquetas de ejes, t\u00edtulos, leyendas, etc.):" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Actualiza los par\u00e1metros de configuraci\u00f3n de Matplotlib:\n", "matplotlib.rcParams.update({'font.size': 18, 'font.family': 'serif'})" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 23 }, { "cell_type": "code", "collapsed": false, "input": [ "fig, ax = subplots()\n", "\n", "ax.plot(x, x**2, label=r\"$y = \\alpha^2$\")\n", "ax.plot(x, x**3, label=r\"$y = \\alpha^3$\")\n", "ax.set_xlabel(r'$\\alpha$')\n", "ax.set_ylabel(r'$y$')\n", "ax.set_title(u'T\u00edtulo')\n", "ax.legend(loc=2); # esquina superior izquierda" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 24, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 24 }, { "cell_type": "code", "collapsed": false, "input": [ "# vuelve a la configuraci\u00f3n original\n", "matplotlib.rcParams.update({'font.size': 12, 'font.family': 'sans'})" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 25 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Definiendo colores, anchos y tipos de l\u00ednea\n", "\n", "### Colores\n", "\n", "En Matplotlib podemos definir los colores de las l\u00edneas y otrs elementos gr\u00e1ficos de distintas maneras. Primero, podemos usar la sintaxis tipo MATLAB donde `'b'` signifuca azul (blue) `'g'` significa verde (green), etc. La API MATLAB para para seleccionar tipos de l\u00ednea tambi\u00e9n est\u00e1 disponible: por ejemplo 'b.-' significa l\u00ednas con puntso azules." ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Selecci\u00f3n de color y estilo de l\u00ednea tipo MATLAB\n", "ax.plot(x, x**2, 'b.-') # l\u00ednea con puntos azul\n", "ax.plot(x, x**3, 'g--') # l\u00ednea a trazos verde" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 26, "text": [ "[]" ] } ], "prompt_number": 26 }, { "cell_type": "markdown", "metadata": {}, "source": [ "En Matplotlib tambi\u00e9n podemos definir colores por su nombre o sus c\u00f3digos RGB, y opcionalmente suministrar un valor alfa, usando los argumentos `color` y `alpha` :" ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig, ax = subplots()\n", "\n", "ax.plot(x, x+1, color=\"red\", alpha=0.5) # rojo semi-transparente\n", "ax.plot(x, x+2, color=\"#1155dd\") # c\u00f3digo RGB para un color azulado\n", "ax.plot(x, x+3, color=\"#15cc55\") # c\u00f3digo RGB para un color verdoso" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 27, "text": [ "[]" ] }, { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 27 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Estilos de l\u00ednea y marcadores\n", "\n", "Para cambiar el ancho de una l\u00ednea podemos usar el argumento `linewidth` o `lw`, y el estilo de l\u00ednea puede ser seleccioando usando los argumentos `linestyle` o `ls`:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig, ax = subplots(figsize=(12,6))\n", "\n", "ax.plot(x, x+1, color=\"blue\", linewidth=0.25)\n", "ax.plot(x, x+2, color=\"blue\", linewidth=0.50)\n", "ax.plot(x, x+3, color=\"blue\", linewidth=1.00)\n", "ax.plot(x, x+4, color=\"blue\", linewidth=2.00)\n", "\n", "# posibles opciones de linestype: \u2018-\u2018, \u2018\u2013\u2019, \u2018-.\u2019, \u2018:\u2019, \u2018steps\u2019\n", "ax.plot(x, x+5, color=\"red\", lw=2, linestyle='-')\n", "ax.plot(x, x+6, color=\"red\", lw=2, ls='-.')\n", "ax.plot(x, x+7, color=\"red\", lw=2, ls=':')\n", "\n", "# l\u00ednea a trazos personalizada\n", "line, = ax.plot(x, x+8, color=\"black\", lw=1.50)\n", "line.set_dashes([5, 10, 15, 10]) # formato: longitud de l\u00ednea, longitud de espacio, ...\n", "\n", "# posibles s\u00edmbolos de marcadores: '+', 'o', '*', 's', ',', '.', '1', '2', '3', '4', ...\n", "ax.plot(x, x+ 9, color=\"green\", lw=2, ls='*', marker='+')\n", "ax.plot(x, x+10, color=\"green\", lw=2, ls='*', marker='o')\n", "ax.plot(x, x+11, color=\"green\", lw=2, ls='*', marker='s')\n", "ax.plot(x, x+12, color=\"green\", lw=2, ls='*', marker='1')\n", "\n", "# Tama\u00f1o y color del marcador\n", "ax.plot(x, x+13, color=\"purple\", lw=1, ls='-', marker='o', markersize=2)\n", "ax.plot(x, x+14, color=\"purple\", lw=1, ls='-', marker='o', markersize=4)\n", "ax.plot(x, x+15, color=\"purple\", lw=1, ls='-', marker='o', markersize=8, markerfacecolor=\"red\")\n", "ax.plot(x, x+16, color=\"purple\", lw=1, ls='-', marker='s', markersize=8, \n", " markerfacecolor=\"yellow\", markeredgewidth=2, markeredgecolor=\"blue\");" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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WCp0HWurKUMg2HZJJQuG2Qjxx/ROQ6iU8+vSjaFbXzO66sM2xrUyoBACERYQh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\nVG3Nf/eCsNWKz+4brX1X5anJEIX+2saPCXXy8vLw73//2+y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"text": [ "" ] } ], "prompt_number": 28 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Controlando la apariencia de los ejes\n", "\n", "La apariencia de los ejes es un aspecto importante de una figura que com\u00fanmente se requiere modificar para confeccionar un gr\u00e1fico con calidad de publicaci\u00f3ns. Necesitamos ser capaces de controlar d\u00f3nde est\u00e1n ubicados los ticks y las etiquetas, modificar el tama\u00f1o de letra y posiblemente las etiquetas usadas en los ejes. En esta secci\u00f3n veremos c\u00f3mo controlar estas propiedades en una figura de matplotlib.\n", "\n", "### Rango de los ejes\n", "\n", "Lo primero que quisieramos configurar es el rango de los ejes. Podemos hacer esto usando los m\u00e9todos `set_ylim` y `set_xlim` en un objeto ejes, o `axis('tight')` para obtener autom\u00e1ticamente rangos de ejes \"apretados\"." ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig, axes = subplots(1, 3, figsize=(12, 4))\n", "\n", "axes[0].plot(x, x**2, x, x**3)\n", "axes[0].set_title(\"rango de ejes por defecto\")\n", "\n", "axes[1].plot(x, x**2, x, x**3)\n", "axes[1].axis('tight')\n", "axes[1].set_title(\"ejes apretados\")\n", "\n", "axes[2].plot(x, x**2, x, x**3)\n", "axes[2].set_ylim([0, 60])\n", "axes[2].set_xlim([2, 5])\n", "axes[2].set_title(\"rango de ejes personalizado\");" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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retuhSBgaFzuOSjdWokLBCrZDkaugpFnEx3Yc3cHOYzupXbK27VBExDE2dizN\n72huOwwJQ263m0+Xf6rJTIKQkmYRHxuzYQzPVXiOrBFZbYciIsD+k/tZvX+1JpMQK2b/NpvMmTJT\nq0Qt26HIVVLSLOJDLrfLNM2opKYZIoFi/MbxNCjbgJxZc9oORcJQr5978eb9b5Ipk/dw+hLolDSL\n+NCyP5aRO2tu7ix0p+1QRMShphliy9I9S9l/cj9NymskpWCkpFnEh76JMWMzq0ZBJDBsObyFg6cO\nElks0nYoEoZ6/dyL1+97nSyZNU1GMNK3JuIjZ+PPMmXLFDZ03GA7FBFxjI0dyzPlnyEic4TtUCTM\nrDuwjphDMUx7eprtUCSNUlPTnBcYAIzxWt4I2AmcBZYD5T3WZQUGA8edxxCUoEuYmb51OtUKV+OW\nvLfYDkVEMKMWjIsdR/OKapoh/vfxso959Z5XyZ4lu+1QJI1SSprrAUeBjoDbY3kRYCTQGSgA/ABM\n9ljfFagMlMMk05WBbhkTskhwGLF+BG3vbGs7DBFxLN+7nBxZclC5UGXboUiY2X50Owt3L6R91fa2\nQ5F0SClpnoGpNX4f8GyUWR+YC8wBTgO9gELAHc76xsAHwH5gH9AbaJphUYsEuN+P/87aA2tpULaB\n7VBExDF2w1ia3dFMfQzE73ov603n6p25Jvs1tkORdEhtkwnvM0xpYI/HcxewzVkem8T6Lc4ykbAw\nev1onq3wLDmy5LAdiogAcRfimLh5IqvarbIdioSZvSf2MnXLVHa8tMN2KJJOaR09IydwzmtZHJDH\n+X8uTFtnz3W50vheIkHF5XYxKmaUmmaIBJBZO2ZRoWAFil9b3HYoEmb6/dKPNpXbaMr2EJDWznln\ngGxey7JjmmoktT47iZPoRKKiov79f2RkJJGRkWkMS8S+6N+jyZs9b6rGZo6OjiY6Otr3QYmEuVHr\nR9GqUivbYUiYOXLmCKNjRhPbMdZ2KJIBUtuwqwdQCkiY1uxF4DGgrvM8AjgCRAIxwGpMO+cpzvr/\nA97FdAj05na73UksFglOzac2p3rh6vz3nv9e9WudtpaB3OBS5VWCzqFThygzoAx7X91Lnmx5Un7B\nVQjwMqvyatl7i97j4KmDDKs7zHYoQvrLa2qbZ3i/wQxMglwH0yTjNeAQJmEGM5LGa0Bh59EdmJjW\nIEWCxfFzx/lh+w80q9jMdigi4hgXO476ZetneMIskpyTcScZvHowr933mu1QJIOklDQ/DhzGJL2N\nnf+3Af7ffDp8AAAgAElEQVQA2gIDMTXM9Zz1CfphEujNziMGM4KGSEibsHECj5Z8lAK5CtgORUQc\no2JG0bpSa9thSJgZsnoItUrUotR1pWyHIhkkEG4p6faRhIy7h99Nj4d68MRtT6Tp9QF+qxdUXiXI\nrD+4ngbjG7Drv7vInCmtfd+vLMDLrMqrJWfjz1Lyi5LMbjabSoUq2Q5HHP5qniEiKdj410b2nthL\n7ZK1bYciIo5R60fRslJLnyTMIlcyZPUQ7rnlHiXMIUZnEZEMMmzNMJ6/83myZNaM8SKB4PzF84yL\nHUfLSi1th5IeOYBoYKnHskbATsyoVMsxM+9KgDgTf4bev/Smx0M9bIciGUxJs0gGOBN/hrGxY3n+\nzudthyIijtk7ZlOmQJlgblMaAYzHDNua0M6iCDAS6AwUAH7AdL6XADH418Hce+u9qmUOQUqaRTLA\npE2TuPvmuymav6jtUETEMTpmdLCPzTwMM6PuEC61w6wPzAXmYOZG6AUUAiraCFASO33+NH1+6aNa\n5hClpFkkAwxbO4wOVTvYDkNEHIdOHWLh7oU0Ld/Udihp9QmmdvlNEndcKg3s8XjuArY5y8WyQb8O\n4oGiD1DxRv2GCUVqfCmSThv/2sjvx3/nydJP2g5FRBzfxHxDo9sbkTd7XtuhpEVbTBL8f0msywX8\n47UsDsjt66AkeafOn6Lv8r4saLnAdijiI0qaRdLpqzVf0bZyW3UAFAkQbreb4euGM7L+SNuhpFU5\nzORhp53nEc7jLPAdkM1r++we2yYSFRX17/8jIyOJjIzM2EjlXwNXDSSyWCQVClawHYo4oqOjiY6O\nzrD9BcLYkhpHUoLW2fiz3Nr/Vta0X5Mh7Zl9POZrUeBL4AHgPDAT6AKcwfTG74OZwXM90A7YlMQ+\nVF4l4C3ds5QOP3RgU6dNCWXKZ/w0TnMr4HngQeBF4DGgrrMuAjPJWCSXZuVNoPLqJ6fOn6LkFyVZ\n2HIh5QtqMJNApXGaRSyatHkSd918V7B0AByPuagWAioDJYD/od74EmKGrxtOuyrtfJ4w+1EmLl3o\nZ2IS5DpAHuA14BCXJ8ziRwNWDeDhYg8rYQ5xSppF0mHYmmG0r9redhipVQGYj2n/eAD4CSgO1EO9\n8SVEHD93nO+3fk+Lii1sh5KR3Fwacm4Pps3zQEwNcz2gsaW4BDgZd5JPl3/Kew+9ZzsU8TElzSJp\ntPGvjew6tosnbwuaDoB9Me0h2wNlMBfavpgOR394bKfe+BK0vov9jtola3ND7htsh5KRRmOaZiSY\nBJTETHxSA9hoIygxvlz1JbVK1KLcDeVshyI+pqRZJI0GrhpI+6rtyRqR1XYoqTUPU8NcA1iFqaWK\nxfTGP+u1rXrjS1D6au1XtKvSznYYEiZOxJ2g/4r+qmUOE+ruL5IG/5z7h/GbxrOpU1J95QJSfkxb\nyCqY27tdgFHAV8BfqDe+hIC1B9by99m/qVWils/eI6N740tw+3zF5zxW8jHKFihrOxTxg0DoJaHe\nvRJ0vlz5JUv/WMrEJhMzdL8+7IlfDdOeOb/HsvqY9suDUG98CQGdZnWiUJ5Cfq3189PoGWml8upD\nR84coeyAsqxotyKYp2oPKxo9Q8TP3G43g1YPonP1zrZDuRqbgHNAFKY5RiFM2+bZwAzUG1+C3Onz\npxm/cTxtKrexHYqEiV5Le9G0fFMlzGFEzTNErtLC3QuJyBTBg0UfTHnjwHEWeBzoB7wKnATGAW9j\nxmxO6I1/M7AO9caXIDMudhwPFH2AW/PdajsUCQN//PMHo2JGsbGj+mCGEyXNIldp4K8D6Vy9czCO\nAbsOqHmFdZOch0jQcbvdDF49mI8e+ch2KBImekT34D9V/8NN19xkOxTxIyXNIldh74m9RP8ezegG\no22HIiKOVftW8U/cP9QuWdt2KBIGNv21iVnbZ7HjpR22QxE/U5tmkaswdPVQmt3RjGuyX2M7FBFx\nDF49mA5VO5A5ky5p4ntvLXyL1+97nXw58tkORfxMZxiRVDp/8TzD1w2nU/VOtkMREcffZ/9m+tbp\n6gAofrHsj2WsO7COzncFVUdwySBKmkVSaeKmiZS/oTy333C77VBExDFq/SieKv1UqM0AKAHI7Xbz\nxoI36BnZkxxZctgORyxQ0iySCm63m/4r+vPKPa/YDkVEHC63iyGrh9CxWkfboUgY+HHHj/x99m9a\nVmppOxSxJL1Jc1HMGK/HMOO6DseMAQvQCNiJGepqOVA+ne8lYs2yP5dxMu4kj9/2uO1QRMSxcPdC\ncmTJwb233ms7FAlxF10XeXPBm3xU8yMiMkfYDkcsSW/SPB4zAUIhoDJQAvgfUAQYCXQGCgA/AJPT\n+V4i1ny24jP+e/d/1dFIJIAMXj2YjtU6BuPwjxJkxsWO45rs11CvTD3boYhF6c0AKmCm5o0DDgA/\nAcWBesBcYA5wGjNVbyGgYjrfT8Tvfj/+O9G/R9OqcivboYiI449//mDR7kU0r9jcdigS4uIuxPFe\n9Ht8/MjH+oEW5tKbNPcFvsNMx1sGM4tYX6A08IfHdi5gm7NcJKgMWDWANpXbkCdbHtuhiIhj8K+D\naVmppYZ/FJ8bsGoAFQpW4IGiD9gORSxLb9I8D1PDXANYBRwBYjHtms96bRsH5E7n+4n41cm4k4xc\nP5IX73rRdigi4jgbf5bh64arXIrPHT59mI+XfUyfR/vYDkUCQHpmBMwPzASqAHuALsAo4CvgLyCb\n1/bZMU01LhMVFfXv/yMjI4mMjExHWCIZZ3TMaGoWr0nR/EV9sv/o6Giio6N9sm+RUDU2diz33HIP\npa4rZTsUCXE9onvQ7I5mlC1Q1nYoEgDS0zinGqY9c36PZfUx7ZcHAY8BdZ3lEZha6EhMx0FPbrfb\nnY4wRHzD5XZRZkAZRtUfxX1F7vPLezrt5QK50ZzKq1jldrupNKQS/Wr349GSj9oOJ9DLrMprOmz8\nayM1R9dk64tbuS7ndbbDkQyQ3vKanuYZm4BzQBSmOUYhTNvm2Zhh6CKBOkAe4DXMkHTeCbNIwJq5\nbSb5c+TXcFYiAWTxnsVccF2gVolatkOREOZ2u3n1p1d598F3lTDLv9KTNJ8FHgceBA4Ca4DNwJuY\nToBtgYGYGuZ6mE6CIkGj9y+96X5vd/WWFgkgX6z8gi53d1G5FJ/6cceP/HniT/5T7T+2Q5EAEghn\nHd0+koCz7I9ltJjWgu0vbSdL5vQ0/b86AX6rF1RexaLfj/9OtWHV2PPyHnJnC4x+5QFeZlVe0yD+\nYjwVBlfgs8c+04RWIcZm8wyRkNXnlz50rdHVrwmziCRv4KqBtK7cOmASZglNg34dRPH8xZUwy2WU\nEYh42XpkK7/8+Qvj/m+c7VBExJEw/OOvL/xqOxQJYUfPHOXDpR+yqNUi26FIAFJNs4iXfr/0o1P1\nTuTKmst2KCLiGLFuBDWL16T4tcVthyIhrOfinjQt35TyBcvbDkUCkGqaRTwcOHmAyVsms/3F7bZD\nERHHBdcFPlv5GeP/b7ztUCSEbTm8he82fseWzltshyIBSjXNIh6+XPUlz1V4jhty32A7FBFxTN0y\nlVvy3sLdt9xtOxQJYV3nduWt+9+iQK4CtkORAKWaZhHHybiTDFszjJXtVtoORUQcbrebvr/05e0H\n3rYdioSwGdtmsOvYLjrf1dl2KBLAVNMs4hiyegi1StSi5HUlbYciIo6lfyzl+Lnj1C1TN+WNQ0s3\nzCRip4HDwAjMRGIJGgE7MXMmLAfUCDeNzsSfocvsLgx6chDZIrLZDkcCmJJmEeBs/Fk+XfEpbz3w\nlu1QRMRD31/60rVGVzJnCrvL1R7MpGB5gTuAOzGThgEUAUYCnYECwA/AZAsxhoQPl3xIjVtrULN4\nTduhSIALu7OQSFK+Xvc1d918FxVvrGg7FBFxbD2ylZX7VtKyUkvbodgwCdgCuIBrgezAemddfWAu\nMAdTE90LKAToBHaVth7ZytA1Q+lXu5/tUCQIqE2zhL3zF8/Te1lvJjdVRY1IIPl0+ad0qtaJnFlz\n2g7FpjOYCq6XgZ+dZaUxNdEJXMA2Z/kGv0YXxNxuN51/7Mw7D75D4WsK2w5HgoBqmiXsjYkZQ5kC\nZbjr5rtsh+IPDwELgH+AU0A+Z7naR0pAOXDyAJM3T6ZT9U62Q7EtJ6Y8dgKe8Vh2zmu7OEBTJV6F\nCZsmcOTMEV6860XboUiQUE2zhLULrgt8vOxjhtcdbjsUf3gEGI5pB7kQ06noFJfaRz4NLMXUaE0G\nbrcTpgj0X9GfFhVbaPhH4zdgFNAcGI+pffbusZYd01QjkaioqH//HxkZSWRkpI9CDC4n4k7QdW5X\nJjWZRJbMSoVCVXR0NNHR0Rm2v0wZtqe0c7vdbtsxSJgaFzuOQb8OYmmbpWTKZL84ODH4KpB1QFdM\nwuzpJeBBoInzPDNwFFMr7X2rV+VVfO7vs39z25e3sb7Dem7Nd6vtcJLl4zLrqSdQHGgJvAg8BiQM\nKRIBHAEigRiP16i8XsErc17hRNwJvq7/te1QxI/SW17VPEPClsvt4qOlH/HOg+8ERMLsY4WBCsAL\nwEHMBXYo5nZuaeAPj20920eK+N2AVQNoUKZBwCfMPjYBU2azAPcC7TG1zAAzMQlyHSAP8BpwiMQJ\ns1xBzMEYxsaO5eNaH9sORYKM7klI2Jq2ZRo5suTgsZKP2Q7FH4pibt0OAFoABTG98z8BcmDaOHtS\n+0ix4tT5UwxYNYCf2/6c8sahLR4zlFxBYDfwBvCjs24PZvi5gcDNmLtIjS3EGHRcbhedfuzE/x7+\nn5r+yFVT0ixhyeV2EbU4il6P9AqHWmYANyYRXuY83w/0wwxV9ROpbB8p4mvD1gzj4eIPU/r6sL/R\n0TyF9ZOch1yFUetHccF1gXZV2tkORYKQkmYJS5M3TyZnlpw8eduTtkPxl53A9c7jqLMsq/P/7Zj2\nkQkigDLAjqR2pI5F4itxF+Lot7wfs56bZTuUK8rojkXiP4dOHeKN+W8wp/kcIjJH2A5HglAgVLGp\no4L41UXXRe4YfAefPvYpdUrVsR1OIj7uVDQDM6RcB8wsY1Mwo2b8gJmutwlmHNiXgFZA2ST2ofIq\nPjNszTC+3/Z9QCfN3vzYETAtVF49NJ3UlBLXllBb5jCW3vKqmmYJOxM2TSB/jvzh0pbZUytMm+Zd\nmKHmBgKDnHVqHylWXXBd4JNlnzC6wWjboUgImrZlGusPrtfxJemipFnCygXXBXou7snAJwaGS1tm\nT8eAZldYp/aRYtWYmDEUzVeU+4vcbzsUCTHHzh7jxdkvMv7/xof77JKSTkqaJax8F/sdBXMX5JHi\nj9gORUQc8Rfj+WDpB4ysP9J2KBKCus3tRoMyDXig6AO2Q5Egp6RZwkZCLfNXdb8Kx1pmkYA1ZsMY\niuUvxoNFH7QdioSY+bvmM3/3fGI7xtoORUJARkxu8hCwADPO6ykgn7O8EabH/llgOVA+A95LJM1G\nrR/Frflu5eHiD9sORUQc8Rfj+WDJB0Q9FGU7FAkxp8+fpv3M9gx+cjB5s+e1HY6EgPQmzY8AozDj\nvd4IFMEkzkUwvfI7AwUwvfMnp/O9RNLsbPxZei7uSa9HetkORUQ8fBPzDSWuLaFb55Lh3ln4DvcV\nuY8nbnvCdigSItLbPKMv8Dyw0Hl+zvm3PjAXmOM87wV0AyoCG9L5niJXbcCqAVQvXJ17brnHdigi\n4khoyzym4RjboUiIWf7ncsZvGs/GjhtthyIhJD01zYWBCsALwEHgCDAUM/VuaeAPj21dwDZnuYhf\nHT93nN6/9ObDmh/aDkVEPIyOGU2p60ppxAzJUHEX4nh+xvN8Xudzrs91ve1wJISkJ2kuiplmdwBw\nC6YWuQLwCZAT05bZUxwmoRbxq97LelOvdD1uv+F226GIiOP8xfN8uPRDtWWWDNdzcU9KX1+aJuWa\n2A5FQkx6mme4MYnwMuf5fkzb5l7AT0A2r+2zY5Lsy2haXvGVAycPMHTNUNZ3WG87lCRpSl4JV8PW\nDOP2ArdzX5H7bIciIeTnP35m5PqRrO+wXqMkSYZLzxF1A3AA0wHwqLPsaeC/wDjgMaCuszwC03wj\nEojx2o+m+RSf6fhDR3Jny03f2n1th5IqAT4lL6i8SgY4df4Ut315G7ObzaZyocq2w0mXAC+zYVVe\nT8adpNKQSvR/rD/1y9a3HY4EoPSW1/Q0zzgM/IiZhjc/ZsSMbsC3wAxMglwHyAO8Bhzi8oRZxGd2\nHN3BpM2TePP+N22HIiIePlvxGQ8XezjoE2YJLK/89Ao1i9dUwiyXiY+HL79M/37SO3pGK0yb5l2Y\noeYGYpJogLbO85uBdUDjdL6XyFV5ff7rdLu3mzqCiASQo2eO8tmKz1jRboXtUCSEfL/1exb9vihg\nm+KJHW43zJwJ3btD0aLp318g3FIKq9tH4h+Lf19M6+9bs6XzFnJkyWE7nFQL8Fu9oPIq6dR9bndO\nnT/F4KcG2w4lQwR4mQ2L8nro1CEqD63M5CaT1UZe/rVuHXTtCocOQd++UKcOZM6cvvKqabQl5Ljc\nLl6d+yofP/JxUCXMIqFu74m9jFg/QlMaS4Zxu928MPMF2lRuo4RZANi/H955B378EaKioF07yJJB\n2W5GTKMtElC+3fAt2SKy0bR8U9uhiIiH9xe/zwtVXqDwNYVthyIh4ut1X/PniT+JioyyHYpYdvIk\n9OgBd9wBBQvCtm3wn/9kXMIMqmmWEHP6/GneXvg2k5pM0nBDIgFk8+HNTN86nW0vbrMdioSInX/v\n5M0FbxLdKppsEd6j3Eq4iI+Hr7+Gnj2hVi1YuzZj2i8nRUmzhJR+y/txf5H7NV22SIDpPq87b97/\nJtfmvNZ2KBICLrgu0HJ6S95+4G3KFyxvOxyxwO2GGTPg9dfh5pth1iyoUsW376mkWULG/pP7+WLl\nF6xuv9p2KCLiYd7OeWw/up1pT0+zHYqEiB6LepA7a2663N3FdihiwcqVZkSMY8egf3/Tyc8fN5eV\nNEvIeG3ea7Sv2p5i+YvZDkVEHBddF+k6tyuf1PpEt9AlQ8zdOZdRMaNY234tmTOpa1Y42bYN3n4b\nVqyA99+HVq0gIsJ/76+jTULCkj1LWLJnCW8/8LbtUETEw6j1o8ifIz8Nyza0HYqEgP0n99Nqeiu+\nbfgtN+a50XY44if790OHDnD//VC9OmzfDm3b+jdhBiXNEgIuuC7w0uyX6Fe7H7mz5bYdjog4Tp0/\nxbuL3qVf7X7qmCvpdtF1kWZTm9GxWkceLv6w7XDED/75x9Qs33EH5Mtnappffx1y5bITj5JmCXpD\nVg+hQK4CNC6nSSdFAknvZb2pWbwm1W+ubjsUCQHvL36fzJky645iGDh7Fvr1g9tug4MHYf166N0b\nrrvOblxq0yxB7a/Tf/H+4veJbh2tmiyRAPLHP38w6NdBrO2w1nYoEgIW7FrAV2u/Ym2HtURk9vM9\nefGb+HgYORL+9z+oVg0WLYLyATQ4ipJmCWpvLXiLFhVbUO6GcrZDEREPXed2pcvdXSiSr4jtUCTI\nHTx1kBbTWjCm4RgK5SlkOxzxAZcLJk6Ed981YyxPmQJ33WU7qsupeYYErRV7V/Djjh/pEdnDdigi\n4mH+rvms2b+G7vd2tx1KMHsL2AycBnYDXb3WNwJ2AmeB5UAA1cdlnIR2zC9UeYFHSjxiOxzJYG73\npfGV+/eHIUNg/vzATJhBNc0SpOIvxtPhhw70rd2XvNnz2g5HRBznL57npdkv8Vmdz8iZNaftcIKZ\nC2gDrANKA/OATcAcoAgwEngaWAq8DEwGbrcSqQ99uPRDXG4X7z30nu1QJIMtXAjvvGM6+33wATRo\n4J+xltNDNc0SlPqv6E+hPIV4tsKztkMREQ9frPyCYvmLUbd0XduhBLuPgZXAeWAjsASo5KyrD8zF\nJNCngV5AIaCi/8P0nVnbZzFszTDGNhqrdswhZNkyqFnTDCH34ouwYQM0bBj4CTMoaZYgtPvYbnov\n683gJwer81/a5ACiMTVUCcLiVq/41v6T+/n454/5vM7nKpsZKwKoimmuAabmeY/HehewzVkeErYd\n2Uab79swqckkCl9T2HY4kgFWr4bHH4dmzaB5c9iyBZ57zv9jLaeHkmYJKm63m04/dqLbvd0ocW0J\n2+EEowhgPJAdcDvLEm71dgYKAD9gbvWKXJXX5r3GC1VeoPT1IZO7BYpPgL8wZRMgJ3DOa5s4ICQG\nqj8Rd4IGExrw0SMfUePWGrbDkXSKiTE1yfXrQ926Zqzltm0hSxA2EA7CkCWcTdg0gb0n9tK1hnef\nGEmlYcAWYBrQzlnmeasXzK3ebphbvRv8HaAEp4W7F7JkzxI2d96c8sZyNd4AngIe5NIP3TOA95zk\n2TFNNRKJior69/+RkZFERkb6IsYM43K7aDGtBQ8Xe5h2Vdql/AIJWBs2QM+e8Msv8NprMG4c5PRz\nN4fo6Giio6MzbH+BcP/M7Xa7U95Kwt6xs8coP6g8U5pOCdnaB+eWtq/K5SfA9ZhkuTXwPPAA8CWm\nlqqbx7YrgL5cXuOs8iqXOXfhHBUHV6Rv7b7UK1PPdjh+5cMymwlTZms7j7881r0IPAYkNByPAI4A\nkUCMx3ZBV16joqNYsHsBC1ouIFuE9+8CCQaxsSZZXrYMuneH//zH3gx+3tJbXtU8Q4JG17ldaVi2\nYcgmzD7WFtPesX0S63IRwrd6xfc+XPIhd9x4R9glzD42FtOO+SESJ8wAMzAJch0gD/AacIjECXPQ\nmb51OiPWjWByk8lKmIPQxo3QtCk8+ijccw/89hu8+mrgJMwZQc0zJCjM3jGbRb8vIrZjrO1QglU5\nzAU24fZthPM4C3xHKm/1QvDd7hXf2nx4M0PWDGF9h/W2Q/GLjL7dm4xngAuYGuQEuzE/fv/A/BAe\nCNyMGZausT+C8pXNhzfTfmZ7Zj03ixvz3Gg7HLkK69ebIeN+/hm6djUz+uUO0SoXNc+QgPfPuX+4\nY/AdjGowiprFa9oOx6d83DzDUytM84wHSf2tXlB5FQ8ut4sHRz7IsxWepfNdnW2HY4Ufy2xaBEV5\nPX7uOHd9dRfvPPgOLSu1tB2OpNLq1Wa6619/Nc0w2rcP/GRZzTMk5HWd25Unb3sy5BNmP8vEpRPH\nTELwVq/43vC1w7ngusB/qv3HdigSpM5fPE/jiY154rYnlDAHiRUr4MknzWQktWrBzp3wyiuBnzBn\nhIxqnpED0/M+AtOxCMy4r32AwsB6TOejTRn0fhImfvrtJxbsXsCG/2gQhwzm5lJP/D2E2K1e8b39\nJ/fz9sK3WdBygSaekDRxu910+KEDubLmol/tfrbDkWS43bB4MXz4IWzfDm++CVOnQvbstiPzr4y4\npRQBTAFuBOIxt3uLALEknuKzOUlP8RkUt4/E//459w8Vh1RkRL0RPFLiEdvh+EWA3+oFlVfBJDt1\nv6tL1Zuq0vPhnrbDsSrAy2xAl9f/Lf4fM7bPILpVNLmzhUE1ZRByu2H2bJMsHz5skuVmzSBbkPbT\nTG95zYiaZo37Kj7RZU4XHi/1eNgkzCLB4puYb9h7Yi9Tn55qOxQJUmNixjBi/QiWP79cCXMAunjR\n1CR/9BG4XPDWW9C4cXDN3ucL6U2aP8Hc4n0TM+5rguSm+FTSLCmauGkiy/9czroO62yHIiIe9p3Y\nR/d53ZnbYq6GBZM0WbR7Ed3mdWNRq0UUylPIdjji4fx5GDsWeveGfPng/ffhqacgU6DeS/Gz9CTN\nCeO+/l8S63IB/3gt07ivkip7T+zlpdkv8cOzP6gGQiSAuN1u2v/Qnk7VO1G5UGXb4UgQ2nx4M89M\neYbx/zeecjeUsx2OOE6dgq++gk8/hdtvhwEDoGZNJcve0pM0a9xXyXAut4vW01vT5a4uVL+5uu1w\nfM6PY76KpNs3Md+w78Q+pj09zXYoEoQOnjrIk+OepO+jfXm4+MO2wxFMO+Uvv4TBg+Hhh2H6dKha\n1XZUgSsjf0No3FdJt0+Xf8rULVNZ3HpxWPbID/BORaDyGrb+/OdPqg6rytwWc1XL7CHAy2zAlNdT\n50/x8OiHqVu6Lu899J7tcMLe7t2mVnnsWNNWuXt3uO0221H5XiCN06xxXyVdYg7G0OvnXoxpOCYs\nE2aRQHXRdZEW01rwao1XlTDLVTt34RwNxjeg0o2VePfBd22HE9ZWr4ann4Zq1cy4yhs3wrBh4ZEw\nZ4SMnEZb475Kmp2MO0nTyU357LHPKH5tcdvhiIiHPr/0IVOmTHS/t7vtUCTIxF+M55nJz3BdzusY\n+tTQhJo+8aOEYeP69DETkbz8MgwfDtdcYzuy4BMIR2/A3D4SO9xuN82nNSdXllx8Ve8r2+FYFeC3\nekHlNez8uu9XnvruKVa/sJpb891qO5yAE+Bl1mp5dbldtJreiqNnjjL9mekabcXP4uJg3Djo1w+y\nZDFNMJo2haxZbUdmTyCM0yySLl+v+5oNhzawst1K26GIiIdT50/RbGozBjw+QAmzXBW3281LP77E\nnuN7mNN8jhJmPzp8GIYMgUGDoHJl6N/fTHetSv70U9IsVm04tIE3F7zJ0jZLyZU1l+1wRMTDK3Ne\n4b4i99GkfBPboUiQeXvh26zct5KFrRbq3O4nW7bAZ5/BxImmc9/8+VC+vO2oQouSZrHm1PlTNJnU\nhE9rf0rZAmVthyMiHr6L/Y5Fvy/SBENy1T75+ROmb53OkjZLyJs9r+1wQprbDfPmweefw5o10LEj\nbNsGBQvajiw0KWkWK9xuN22/b8v9t95Pi0otbIcjIh62HtlKlzldmNdiHtdkV28hSb3Bvw5m6Jqh\nLG2zlAK5CtgOJ2SdPg1jxsAXX5j2yv/9L0yZAjly2I4stClpFiv6/NKH3cd3s7TNUtuhiIiHM/Fn\naDKpCR/V/EjDy8lVGfzrYHr93ItFrRZxc96bbYcTkvbsgYEDYcQIuP9+8//ISLVX9hclzeJ3c3fO\npbweFZoAACAASURBVP+K/qxqt4ocWfSzWCSQdP6xM5ULVaZdlXa2Q5Eg8vmKz+m/oj/RraMpcW0J\n2+GEFLcbliwxM/ctXAitW8OqVVBCH7PfKWkWv9p1bBctprVgYuOJ6o0vEmBGrhvJyr0rWfXCKo2n\nK6nW95e+DF49mMWtF1M0f1Hb4YSMU6fMjH0DBsCFC9C5M4wcqfGVbVLSLH5z+vxpGk5oyNsPvM1D\nxR6yHY6IeFh3YB2vzX+Nxa0XkydbHtvhSJD4aOlHjFo/isWtF3NL3ltshxMSduwww8V98w08+KAZ\nEaNmTTXBCARKmsUvXG4Xrb9vTeVClXnprpdshyMiHv46/RcNJzRk0BODKHdDOdvhSBBwu928v/h9\nxm8aT3TraApfU9h2SEHtwgWYNQsGD4a1a+H5582/RVVxH1CUNItfvLPwHQ6eOsj8FvN121ckgJy/\neJ7GExvTvGJzjccsqeJ2u3l30btM3zqd6FbR3JjnRtshBa0DB8yU1sOGwS23mCHjpk/XKBiBSkmz\n+Nyo9aOYuGkiK9qtIHuW7LbDEREPL895mfw58vP+w+/bDkWCgMvtotvcbizcvZBFrRZxQ+4bbIcU\ndNxuWLTI1CrPn2+mtp4508zeJ4FNSbP4VPTv0bw+/3UWt16sMTtFAsywNcNY9PsiVrZbSeZMmW2H\nIwEu7kIcbb5vw58n/mRhq4Vcl/M62yEFlcOHYfRoU6ucLZupVR4+HPLlsx2ZpJaSZvGZ7Ue38/Tk\npxnXaJxm/BMJMIt2L+LdRe+ytM1SzdomKToRd4JGExqRN3te5jafS86sOW2HFBQSapWHDYM5c6BB\nAxg1CmrUUMe+YKSkWXxi/8n91Pm2Dr0e6cUjJR6xHY6IeNh8eDPPTHmG7/7vO0pfX9p2OEHJ7Ybo\naNtR+MeBkwd4YtwT1LilBl8+/iURmSNshxTwDh0ytcpffWXaJ3foYJpjXHut7cgkPZQ0S4Y7fu44\ndb6tQ7sq7Wh7Z1vb4YiIh4OnDvLkuCfp82gfahavaTucoBMfDxMmwKefwtmztqPxve1Ht1Pn2zo8\nf+fzvPXAW+rInYwLF0xt8tdfmx9UDRuaqa7vvlu1yqEiEL5Gt9vtth2DZJCz8Wd57NvHuLPQnXxW\n5zOdYK+S83kF8oem8hrETp8/TeToSOqWrst7D71nO5ygcuyYqTX84gsoUwa6doU6dSAiIqDLbLrK\n68q9K6k/vj4fPfKRKkCS8dtvZlrr0aOhSBEzXNzTT2sSkkCU3musen5IhrngusBzU5/j5rw3079O\nfyXMIgHkousiz019jgoFK/Dug+/aDidobNsGnTqZKYtjY80oBwsWwBNPQGbfX0HzAgOAMV7LGwE7\ngbPAcqB8Rr/xtC3TeOq7p/i63tdKmJNw6pRpmxwZCffeC+fOwdy5sHw5tGunhDlUqXmGZAiX28UL\nM1/g9PnTTGg8QT3xRQKI2+2m/cz2nI0/y9AmQ/WDNgVuN8ybB59/Dr/+atqjbt4MN93k1zDqAVMw\nlVtjPZYXAUYCTwNLgZeBycDtGfGmLreLD5Z8wFdrv2J2s9lUK1wtI3YbElwuWLrUJMvTp8MDD0CX\nLvDkk5Bdo6mGBSXNkm5ut5uOP3Rk5987md1sNtkistkOKei43bB6tU/f4i2gOVAU+AtTe9XPY30j\noA9QGFgPtAM2+TQi8Qu32023ud3YfGQz81rMU/lMxqlTZuriL780Q4J16QKTJ0NOOwNFzACyAj2A\nUh7L6wNzgTnO815AN6AisCE9b3j6/GlaTW/FvpP7WNVuFTdd499fCYFq927TNnnUKMiVC9q0gY8/\nhhs1p0vYUdIs6eJ2u+kyuwuxf8XyU/OfyJ0tt+2QgsqJEzB2rBmO6MQJn76VC2gDrANKA/MwSfEc\nfFxzJXZ9uPRD5u2ax+LWi8mTLY/tcALS9u0waJBJjCIjYehQU4sYIBXy3lGUBvZ4PHcB25zlaU6a\n9xzfQ/3x9bnzpjuJbhQd9hNRHTsGkyaZY2LrVtNGedIkqFIlYI4LsUD30CXN3G433ed1Z8W+Fcxu\nNptrsqsRV2q43abd2/PPQ9Gipn1k796wY4dP3/ZjYCVwHtgILAEqOes8a65OY2quCmFqriSIDVg1\ngFHrRzG3xVyuzamxrjxdvAgzZsBjj5kEOVcuWLcOpkyBBx8M6MQoJ3DOa1kckOYaiyV7lnDP1/fQ\nunJrRtQbEbYJ8/nz5pho0gSKFTNNdLp3h337YMAAqFo1oI8L8QPVNEuauN1uXp//Ogt2L2Bhy4Xk\ny6EpjVJy5Ah8+62ZAer8edNZZMsWKFTI76FEAFWBb53nPqm5EruGrx3OJ8s+YUnrJRTK4/+DLFAd\nOmSGBBs61JS9F1+E7783Y+kGiTOAdxub7JgfvFfF7XYzbM0w3ot+jzENx1C7ZO0MCTCYuFzwyy8w\nbpypSS5bFlq0MHf/NKayeEtP0qw2kmHK5XbRZXYXVu5byYKWC1SDlYyLF01txddfm3+fesrUWDz0\nkNUai08wZfYH53lO4B+vbdJVcyV2fbXmK95f8j4L/7+9M4+Ousry+Ick7BCIYQ97BAlbZAkioCCb\nrIrIJoq73drS6ox9TqPdY8ceW7r7iDOKtMgZlUEbBBFslgZGCAiBIBAWgSAkkDYgEMhKVpJU/eaP\nS0xYAqmkqn6vKvdzzjtk/dXl5X3r3Xffffc9HkOnkE52m2M7pReRfPQRbNoEU6bA6tWy1e4DXFsz\n7gRwf7nPA4E7gBvuVUVHR//88bBhwxg2bBgAOZdzeGH9Cxw8f5DYp2LpEtrFjSabz+HD4igvWwaN\nGsGjj8KePdBJ5eJXbNu2jW1uvIWoOk6z5kjWQBxOB8+ufZakjCQ2z9qsEeYKOHFCanYuWSIn7p9+\nWmq8Nm1qt2XMASYA91I2GbsUuapoElbMYFH8It7a/hZbn9jK7bfdfutf8GPS0kSHixZB7dpSBWPh\nwurp0N2TcCW4dnm9BkmhGgPEAr8GUoFDN/rl8not5dD5Q0xbOY172t/Dnuf20KB2A7cabCqnTsnF\nNMuWQVYWzJwp6Ri9emnahb9y7Rz15ptv2mfMNSwHfnvl418DX5b7XgCQyY1zJC3FNygqKbKmfTnN\nGrlkpJV7Odduc4wjK8uyFi2yrEGDLKtlS8t69VXL+v57157B9VEld1EL+Cuy69Pimu/NBtaW+zwQ\n0Wsk1+OZzlPcwsK9C61277azEtMT7TbFNhwOy9qyxbJmzLCsJk0sa9Ysy4qNtSyn0zOvh+c0Oxa4\niCxeC658/NSV701F6jQXInWae1bwjKtsdTqd1od7P7Sa/bWZ9fmhzz3TIYaRkmJZ77xjWVFRltWi\nhWW98IJlbd8u40SpeVRXr+7KadYcST8ntyiXqV9OJSggiLWPrKVekO8kAHqSkhIpaL9kCWzYACNH\nwpw5clNY7dp2W3cVfwdaAkO5PhXDpciVYib/vfu/+a/d/8XWJ7YSflu43eZ4nbNnJar88cfQsCE8\n95xUxPDhvNQNQPMKvvclVwembkl2YTa/WPcLjqcdZ+fTO+ka2rXaBprKuXNSKnD5cjk38tBD8Pbb\nUhklSE9yKdXAXcNHcyT9mNTcVMYvHU9ky0gWTlhI7UCzvEFvY1mwf78c6lu2THLgHn8cFiyA0FC7\nrauQGUAJkFbua8nIQjYFeBpYAIQhKVdTvG2gUjUsy+I/tv4HKxNWsuOpHbRv0t5uk7xGURGsWydX\nGO/aJbnKS5dCVJRut5dn39l9zFg5g9Hho9n97G6/DHqcOQOrVslhviNH5PzIa6/BqFFSc1tR3IE7\nnGbNkfRjTqSfYOzfx/J478d5Y+gbNfomseRkmZA//1wm68ceg+3boWs1AjZezI+8VXlJlyNXiv04\nnA5e/OeLxJ+LZ8dTO2jesKLApH9x8KBcNLF0KURESPnG5cslwqxczR+2/oEP933IB+M+YFqPaXab\n41ZSUqRE4MqVElF+4AH47W/FUdYb+hRPUB0PqBYSYR59pV0o973ZyOneiVc+D0QiXMO4fsv3SpqJ\nYhpxp+OYvGIyb933Fs/0fcZuc2whNRVWrJDJ+eRJiWTNmgUDB3omknVlUWLyykT1agiXSy4za/Us\n0gvS+Xr6135fJz01VXZ2Fi+WiyeeeEJ2eG63+ayj4Zq1xv99PIsmLqJN4zZ22+IWfvhBKp+sWiUH\n+yZNkvflESM0oqzcmurqtTpCX4rkSE7m+lSM9kgljamU5Ug+AXS7wXN0EjaQJYeW8Jv/+w2LJy1m\nXJdxdpvjVTIz5Q35iy9g716YOFFOWY8c6fk8ZcMnYFC9GkFafhoPLX+I1o1a89lDn/ntZRQFBVLd\nYMkS2LkTHnwQnnxSSjYGGHI1l+GatZxOp0/vEJamw61aJc7ypUviKD/0kFxCY9jZEcVw7HSanUiO\nZPlnlOZIgjjMf6YsR/I55Caya9FJ2CAcTgdzNs9h9Q+rWfPIGro37263SV4hO1sm5xUrJOVi1CiY\nMQPGjZObwryF4RMwqF5t54e0H5iwdALTe0znP4f/JwG1DPEe3YTDITWVP/8cvv5a8pMff1ycJBPT\nLwzXrE/qtagIvv1WLp1Zs0Yunpk8WcZAVJQ5CybF97DTaXYXPilqfyS7MJtHvnqEy47LrJiygtAG\n5p5qcwfZ2bB2rRwc2bZNTlZPnSp5ccHB9thk+AQMqldb2XJqCzNXzeQvI//Ck3c+abc5bsOyID5e\n0i+++EJu6nv0UVm4tjE8q8BwzfqMXjMzpQLRP/4hFYkiIuS9+IEH5GMfDpYrBqFOs+IWDp4/yNQv\npzImfAzv3v+u31bIyMiQN+WvvpKI8tChMG2avDE3MeCeFsMnYFC92oJlWSzYu4C3tr/F8inLGdpx\nqN0muYVjx8RRXrZMHOcZM8RZjvCha7AM16yxerUsOH4c1q+XCijx8RK4ePBBGD9eFk6K4m7UaVaq\nhWVZ/M/+/+H1mNd5b8x7zOw1026T3M7Zs7LNu3q1XJM6ciQ8/LCUJLIrolwRhk/AoHr1OnlFefxy\n3S85cuEIq6avonNIZ7tNqhYnTkga1IoVkJ4O06fDI49A//6+GU00XLNG6fXyZQlWrFsnznJhobwP\njx8Pw4ebmX6j+BfV1auW+a7B5BXl8cL6F9h/bj87ntpBt2Y3Oqfpmxw/LhHl1avl43Hj4IUXxHnW\nN2bFV0jKSGLy8sn0ad2HXc/s8tnrjo8fl7JgK1fC+fNS7eBvf4NBgzQ/1d/58UdJu9i4EbZuhR49\nxEn+6ivo3ds3F0pKzcWE4WrUSrimsOenPcxaPYu7297NgnELaFjHtz1JhwO++04OjfzjH5CTIykX\nkybJlp+vlCIyPGoFqlevsTJhJb9a/yveHPYmz/d/3qcqIFiWXDCxapU4yunpsrvz8MNwzz0QGGi3\nhe7DcM16Xa+FhRJN3rhRnOX0dLj/fhg7Vg5YN68ZpcQVQ9H0DMUlSpwlvL3jbRbsXcD8sfN9uth9\nTg588404yv/8J7RuLeXhJk2Cfv18M4Jh+AQMqlePk1uUy8sbXmZ7ynaWTl5KVFiU3SZVCqdTSjSu\nWiWtuFiqHUyZAnff7b8RZcM163G9WhYcPSqH9775RkoD9uoFY8aIo9y3r//+7RXfQ51mpdIkpicy\na/UsgusG8+mDnxIWHGa3SS5z4oTkwq1fL5HlQYPEUZ44ETp0sNu66mP4BAyqV4+y7+w+Zn41kyHt\nh/D+2PdpVKeR3SbdlMJCiImR3Z21a6FpUykNNnky9OnjmwtXVzFcsx7R6/nzsGVLmaNcrx6MHi2R\n5OHDISTE7S+pKG5BnWbllhQ7ipkXN493dr3DG0PfYPaA2T5T2zU/X8rBbdggraBA8pPHj5cDfY3M\n9ilcxvAJGFSvHqHIUcSfY//MB3s+YP7Y+UzvOd1ukyrk4kVZtK5dK45Tr15S8eDBB6FLF7ut8z6G\na9Ytes3KkrrJW7bIIumnnyTtbfRoaeHh1TdUUbyBHgRUbkr82XieXfssLRq2YO9ze+kU0sluk25K\n6Vbfpk0SxYiLk+29MWP04Ijin8SfjefpNU/TNrgt8b+Ip12TdnabdBWWBYcOle3wHD0qC9aJE+HD\nD6FFC7stVNxNbq6kWWzdKk7ysWOSYjNiBHz6qbwn+1NeuqJUFhPcD41ceYDswmyit0Wz9MhS3hn1\nDo/1fszYg0SpqbB5s7RvvpFDe/ffLxGM4cPNqJ/sLQyPWoHq1W0UFBfwx2//yCcHP2He6Hk82utR\nYzSanS1RxQ0b5LxA/fqyuzN+vNQ2r+uft3ZXCcM1Wym95uSIk7xtm0SUDx8Wx3joUHGU775b/+aK\nf6DpGcpVOC0nnx74lN9v/T0Tukzg7RFv07yhWceVc3LkdHVMjDjKKSmy1TdqlLTbb6+50WTDJ2BQ\nvVYby7JYc3wNr2x6hf5t+jN/7HxaNbL3JgenEw4ckN2djRth/34YPFgWr+PHQ9eutppnNIZr9oZ6\nTU+H2FhpO3ZIpZP+/cVJHjYMBg6UhZKi+BvqNCs/szNlJ69seoXaAbWZP3Y+/dr0s9skQPKS4+Ik\nihETI1u9UVESwRgxQj4O0kQhwPgJGFSv1SIxPZGXN75MclYy7495n1Hho2yzJSWlbHdn82YpBTZq\nlFQ8uPdeaOCbJaG9juGatZxOix9/LHOQY2PhzBmJHg8ZIiUA77pLDvMpir+jTrPC4dTD/C7mdxxK\nPcSfhv/J9m3evDxxkrdvF0d5/36IjJQIxn33SQRLoxg3xvAJGFSvVSI9P525sXNZfHAxc4bM4aW7\nXqJOoHeLh6enix43b5bUi8xMSX+6/35xltuZlUrtMxiuWat1awvLEge51Enu3VsDFUrNRJ3mGsyp\nzFNEb4tm08lNvDbkNZ7v/zz1grwfLkhPl3y42FhxlI8ckXJT994rbfBg/6ty4SkMn4BB9eoS+cX5\nvP/d+8yLm8eUiCm8MfQNWjdu7ZXXzsyUyOLWrdKSk0WLI0bIQb5evbR+rjswXLNWcrJFhw41N+VN\nUcqjTnMN5NjFY8yNncv6xPXMjprNq4NeJbhusFde27IgMRF27ZJ27VbfkCGaD1cdDJ+AQfVaKQqK\nC/jkwCfMjZ3LoHaDeGv4W3QN9Wxi8IULosdvv5V28qRo8b77JKLcrx/Uru1RE2okhmtW9aoo5VCn\nuQYRfzaeubFz2ZGyg5cGvMSLA16kab2mHn3NnBy55Wv3bmlxcZLrOGhQWYuM1K0+d2H4BAyq15uS\nW5TLR/s+Yl7cPKLCovj9Pb/3yI1+lgVJSbLDU5qnmpoqehw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"text": [ "" ] } ], "prompt_number": 29 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Posicionamiento de ticks y etiquetas de ticks personalizadas\n", "\n", "Podemos determinar expl\u00edcitamente d\u00f3nde queremos que aparezcan los ticks de los ejes usando `set_xticks` y `set_yticks`, donde ambos m\u00e9todos toman una lista de valores que determinan d\u00f3nde se localizar\u00e1n los ticks sobre el eje. Podemos tambi\u00e9n usar las funciones `set_xticklabels` y `set_yticklabels` para ingresar una lista de etiquetas personalizadas para cada tick:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig, ax = subplots(figsize=(10, 4))\n", "\n", "ax.plot(x, x**2, x, x**3, lw=2)\n", "\n", "ax.set_xticks([1, 2, 3, 4, 5])\n", "ax.set_xticklabels([r'$\\alpha$', r'$\\beta$', r'$\\gamma$', r'$\\delta$', r'$\\epsilon$'], fontsize=18)\n", "\n", "yticks = [0, 50, 100, 150]\n", "ax.set_yticks(yticks)\n", "ax.set_yticklabels([\"$%.1f$\" % y for y in yticks], fontsize=18); # usa etiquetas con formato LaTeX" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 30, "text": [ "[,\n", " ,\n", " ,\n", " ]" ] }, { "metadata": {}, "output_type": "display_data", "png": 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SxMsTdZu0EeifsIiIiNTJvK3zmLxsMrkluXSI6MDccXNJiE+wuqxmQ+FNREREaiWnOIe/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\n+wcEQJcuZhirqrV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"text": [ "" ] } ], "prompt_number": 30 }, { "cell_type": "markdown", "metadata": {}, "source": [ "En Matplotlib existen muchos m\u00e9todos m\u00e1s avanzados para controlar la ubicaci\u00f3n de los ticks mayores y menores, como por ejemplo la ubicaci\u00f3n autom\u00e1tica de acuerdo a distintos criterios. Ver [http://matplotlib.org/api/ticker_api.html]([http://matplotlib.org/api/ticker_api.htm) para m\u00e1s detalles." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Mallas de ejes\n", "\n", "Usando el m\u00e9todo `grid` en un eje podemos activar y desactivar las l\u00edneas de malla (grid). Tambi\u00e9n podemos personalizar la apariencia de las l\u00edneas de malla, usando los mismos argumentos que usamos previamente con la funci\u00f3n `plot`." ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig, axes = subplots(1, 2, figsize=(10,3))\n", "\n", "# apariencia por defecto de la malla\n", "axes[0].plot(x, x**2, x, x**3, lw=2)\n", "axes[0].grid(True)\n", "\n", "# apariencia personalizada de la malla\n", "axes[1].plot(x, x**2, x, x**3, lw=2)\n", "axes[1].grid(color='b', alpha=0.5, linestyle='dashed', linewidth=0.5)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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rsIQoUlHnXvNERskDtM9lw8kNDPxpIFeyrjC49WAWDF6An49fmZ5L61zKmx7m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\ni4lR90LlX2Jjr16vZk21afO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"text": [ "" ] } ], "prompt_number": 31 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### \"Espinas\" de los ejes\n", "\n", "Tambi\u00e9n podemos cambiar las propiedades de las l\u00edneas de los ejes (las \"espinas\", spines):" ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig, ax = subplots(figsize=(6,2))\n", "\n", "ax.spines['bottom'].set_color('blue')\n", "ax.spines['top'].set_color('blue')\n", "\n", "ax.spines['left'].set_color('red')\n", "ax.spines['left'].set_linewidth(2)\n", "\n", "# desactiva la espina del eje derecho\n", "ax.spines['right'].set_color(\"none\")\n", "ax.yaxis.tick_left() # s\u00f3lo ticks a la izquierda" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 32 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Ejes gemelos\n", "\n", "Algunas veces es \u00fatil tener ejes x o y duales en una figura, por ejemplo cuando se grafican juntas curvas con diferentes unidades. Matplotlib incorpora esta opci\u00f3n usando las funciones `twinx` y `twiny`:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig, ax1 = subplots()\n", "\n", "ax1.plot(x, x**2, lw=2, color=\"blue\")\n", "ax1.set_ylabel(u\"\u00e1rea $(m^2)$\", fontsize=18, color=\"blue\")\n", "for label in ax1.get_yticklabels():\n", " label.set_color(\"blue\")\n", " \n", "ax2 = ax1.twinx()\n", "ax2.plot(x, x**3, lw=2, color=\"red\")\n", "ax2.set_ylabel(r\"volumen $(m^3)$\", fontsize=18, color=\"red\")\n", "for label in ax2.get_yticklabels():\n", " label.set_color(\"red\")" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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hFnybw/mVSK/RFg2GSqmo69tXeoI+H/zvf/Dhh7JI0zVmzICnnpLnQ4ZA3brO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\nOtlbagBNgUP+iacEIMFIdrI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"text": [ "" ] } ], "prompt_number": 33 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Ejes donde x e y pasan por cero" ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig, ax = subplots()\n", "\n", "ax.spines['right'].set_color('none')\n", "ax.spines['top'].set_color('none')\n", "\n", "ax.xaxis.set_ticks_position('bottom')\n", "ax.spines['bottom'].set_position(('data',0)) # define posici\u00f3n de la espina de x en x=0\n", "\n", "ax.yaxis.set_ticks_position('left')\n", "ax.spines['left'].set_position(('data',0)) # define posici\u00f3n de la espina de y en y=0\n", "\n", "xx = np.linspace(-0.75, 1., 100)\n", "ax.plot(xx, xx**3);" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 34 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Otros estilos de gr\u00e1ficos 2D\n", "\n", "Adem\u00e1s de la funci\u00f3n `plot`, existen varias otras funciones para generar distintos tipos de gr\u00e1ficos. Ver la galer\u00eda de Matplotlib para una lista completa de los tipos disponibles: [http://matplotlib.org/gallery.html](http://matplotlib.org/gallery.html). Algunos de los m\u00e1s \u00fatiles se muestra a continuaci\u00f3n:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "n = array([0,1,2,3,4,5])" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 35 }, { "cell_type": "code", "collapsed": false, "input": [ "fig, axes = subplots(1, 4, figsize=(12,3))\n", "\n", "axes[0].scatter(xx, xx + 0.25*random.randn(len(xx)))\n", "\n", "axes[1].step(n, n**2, lw=2)\n", "\n", "axes[2].bar(n, n**2, align=\"center\", width=0.5, alpha=0.5)\n", "\n", "axes[3].fill_between(x, x**2, x**3, color=\"green\", alpha=0.5);" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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WiZeXFwB79uwjMXE0qkGhGEbjy/z77z569Ojh1OfLTGhoKKGhobl6TyGEEPcls5wg9XEP\n7m18Syb5grBn1aysO7OOUoZSaR4POxBG2IEwAIwJmU+EkMTZiXNmo8jOAMVRgwCibPtqAemulmH/\ngyAy17JlE/bu/QGTqRWgw2D4nlatmjt8vr+/P99+OxGAPn36M39+MEbjc3h7/01g4CNcutQKk6kX\nHh47qFzZTOvWrQGoUqUKERHr0LQagBkvr4089FCbHHjCjKX+ZTl69Ohcj0EIIUSaUucIJ4Fn7D7r\ngYdQA2SSjtdCddHA9vUp0iH5grB3+sZpbsXdonKxtLtpBD0aRNCjQYDq0rFnwR6HruvsrhpptYVv\n4O6Uc7dsnz9FTU3TAOgGLHZyHEXW0KGf0KFDJfT6kuj1JXn++QoMGzbwvq41ffo3zJ49lBEjdEyf\n/j7Hju1mxoyBvPnmKUaMqMvOnRvx8PAAYM6c7yhRYiJ+fsH4+NSlfn0r77zzDpqmER4eTkREhEOz\ncwghhCi0UucIK4BgoA2qe8ZAIBw4aDu+xLavvG37BPgtNwIVBd8/F/7BTe/m9Os6q8W5LfALqu+R\nC+qHYCBqmpmqQEm7sr1t+8OBG0AIsN1JcRR5bm5uzJ8/i59++gEAT8/7XyVHp9PRpUsXunTpwo4d\nO5g2bRpVqlRh5szv7ukv9NBDD3H69CF27dqFt7c3jRs3JjExkbZtXyQ0dBMAwcFP8ccfC5KTbSGE\nEEVCRjlCL9SgmkBgP2omjSRfonKIY7bPi1AzawiRIVOiiR0Xd1DWp6zTr+2sxPkvVMfXtFRJ9fkS\n8LST7ivSYZ8wR0dHs2zZMmJjY2nTpg1BQUEZnpuQkIC7+91uZV9++Q0jR07Cam2HXj+Ntm0XcOPG\nbUJDt6JpZsqUKcfcuVN4+umnk7tuAAwZMootW6zEx4cDGlu2vMSoUZ8zfvynzn5cIYQQ+VdGOcJi\n0n/rnAj0sW1COOzgtYMkWhOdNnezPVlyu5C7efMmjzzSiL59l/DRRzt55JGG7NmTdj+eDRs2UKJE\nIJ6eBqpWfYTjx48TExPD0KHDMZm2ERc3DaNxJ8uW/cWmTaewWtuhaUcJD/+W55/vxrFjx1Jcb9u2\nfcTGvoka2+FBbOwb/PPP3px/aCGEEEIUSZqmsfbMWop5FsuR60viXMh9/fW3XL3aBKPxT2JjZxMT\nM5H33ht0T7krV67QocPL3Lz5C5qWQFhYP1q2fI6IiAhcXX1RCzwBeGC13kLTzgNTbPvbYjZ3Yv36\n9Smu+dBDQbi7r0ONB9Fwc1tPjRqpX0AIIYQQQjjH5ejLhN0Kw9/DP0euL4lzIXf5cgQJCXXs9tQh\nIiLynnL79+/H1bU+0BJwQdPe5vbtWHQ6HcWL+6DTfY+akm4dqoePDxBmO1tDrw/Dz88vxTUnTPiU\nChU24evbBF/fxlSsuJkvvpBZLoQQQgiRM/658A96nd6pczfbk8S5kGvb9ikMhqnAOSAaT8/PeOaZ\np+4pV65cORIT/wNibHvCMJvvULp0aTZuXMmDD85Gp/OgTJl36dr1BVxc4lFd1Yej0z1HpUqRdO2a\nciXUUqVKceTILpYtG8Pvv4/lyJGdlCxZEiGEEEIIZ4s3xxMaFpojgwKTSOJcyHXu3Jlhw97E0/NR\nXF1L066dD5Mnj7+nXL169eja9Vm8vR/DYOiFwfAEEyaMx8fHh+rVq3PixF7M5kSGDRvAypXbsVqf\nR693w89vGv37V+O1115k7ty5xMTEpLiul5cXrVq1omXLlsmLpQghhBBCONvh8MPEmeNw16deV8d5\ncqYd23k0mfvXOTRNQ9M0XFzS/1tJ0zTWr1/PuXPn+L//+z8ee+yxFMetViteXn4kJBxCzRBkxdOz\nFlZrJFZrT9zczhIYeI79+7fh45M/VlG3varJ7Xou9bYQSXrbl9v/pFJ3RXa8/noIQUEhDpcPCwth\nzhzHy6cnj+otSN0VwNitY7kWc40SXiWydF6kMZIp7aeAA3U3t5fcFnlEp9Nl2t9Hp9Px9NPpzxSY\nmJiI2ZzA3YGCLsTH30TTFgMtMJvh8uXOzJkzh379+jktdiGEEEKIjFyLucbJ6yep7J/2SoHOIl01\nhMM8PDxo2LA5bm4fAteAP9G0GKB6cpn4+Opcv34jr0IUhVy7dqoFODc3IYQQ+d/W81tzdFBgEmlx\nFlmycuVCunV7ix07HqF48VJERfkSG/s+MB04i4fHbFq3XgaoFurDhw/j4uLCI488gl6vz9PYRcG3\nenXe3PfZZ/PmvqLwGjz4C65di3W4fLlyXowff+9UokIIiDPHsf7s+hwdFJhEEudCQtM0IiIicHNz\no0SJrPXtyYqSJUvy998qMW7cuBWXL78AXAQeAix8+GF/mjRpwo0bN3jyyTZcuBCNppmpWTOQ0NBV\neHt751hsTuYHjAX8gR52+8OACqjJqZN0AZbnWmQi1/sbFyBSbwuIa9dis9wHWQiRtoPXDhJvic/R\nQYFJpKtGIXDnzh2eeKI1lSvXIiAgiFdf7Y3FYsnwnOvXrzN8+CjefLMvv//++33d98CBXVitnwBz\ngZu4ur6Nj49KjD/+eDinT9cnJuYYRuN/HDlSnlGjPr+v++SB54HrwLukTDSwfW4NuNltknyI/EDq\nrRCiyNE0jdWnVufYSoGpSeJcCPTvP4h9+yoQHx9BQsIVli8/yfffT72n3J9//km1av9HmTJVqFy5\nFhMmXOGnn6rTvftAJk2anKJsTEwMH3wwkGbNnuODDwbeM80cQEBAZSDU9ikBD49tVK6sOuUfPnyC\nhIQXUANU9cTFdeTgwRNOfe4ctAKVWHxK2iNspeeryI+k3gohipzzt89z/vb5HFspMDVJnAuB7dv3\nEB//NqAHfDCZXmPbtr188833lClTlRIlKtK9+xu89FJvzpz5gsjIXhiN9UlMnAl8gMm0ipCQMcnX\ns1gsPPVUe6ZPv8rWrb2ZPv0qwcHt7mnFnj9/Bj4+b+Pn1x4fn0d58skAXnrpJQDq1auNh8ciwAqY\n8fRcTP36tXPrW+Is6SUaq4E7wC7UKjBC5CdSb4UQRUZoWChuLm45PigwifRxLgQeeCCIs2c3YLE0\nBjQ8PTeSmJjA0KHfYjItBW6wcGF3LJY+qLe1J4DydlcoRULC3UEq27ZtY//+01gsG1FTzrXnv/8e\n5Pjx4zz88MPJ5Zo0acLJkwfZuXMnJUqU4IknnmDSpMn89NMi3N3dCAyMITz8ATTNQr16NRk1akiu\nfD9y2JPAVcADeAVYAtQGLuVlUEJkQuqtEKLQiY6P5p8L/1DOp1yu3dOZiXMg8BPqF/QNYBzwQzpl\nQ4CRgH0T5krgBSfGU2RMnTqRxo1bEBu7Dqv1DlWqeGCxVMFkGoAaJ7QViyUOOG8741lgFBAM1MbL\naxQdOqiW4oSEBLp3fwuLxf5lhA5NU/2IUgsICKBjx44AjB07kc8/X4DJ9A0Qhafn28yY8SUNGzbk\nwQcfzHDxlQIkKdEwAT8C/VB1foF9oZCQkOSvg4ODCQ4Ozp3oRIEVGhpKaGhoTl3eoXoLUndF1jip\n3lYGvkPVyQTgT6A/qr52AiaiWnsOAL2Bo9m9oSgcdl7eicVqwdUl99qBnXmnWcAp1EjtGqjXgnuB\nf9MoqwG/Aq858f5FVlBQEIcO/cvu3bsxGAw88cQTvPfeR6hGJVAJ822gFjpdLzStCh4eOgIDv8Rs\nNvPss60YO3YkkyZ9yfbtu4iI0KF+j/UCGgGfYjJF0KbNiyxePIfHH388zThmzZqPyTQFaAJAXNwp\ntm3bQ48ePdIsXwA4MneDDxCZeqd98iGEI1InqaNHj77fS913vQWpuyJrnFRvFwLrUflDCWAe8Bnw\nDTAbeAnYCvwP9T+2mtmJWRQOZquZlSdXUspQKlfv66wmQH+gBTCEu33o5gNd0ymvQwaqOEVMTAyt\nW79A+fKV6NjxRVav3oCbmxvDhw/AzW0f6veQB1AG+JVixdby8cdG1q//gzNn9nP+/GEmTvyM4OB2\njBixld9/DyQ+PgY1zsgfGIZ6ORDLlSsTadPmBaKiotKMxcPDE7iV/Fmnu4mXl0fOfgNyVuo6+igw\nADWtlxcwENWx/J9cjkuIjEi9FQXNw6jEOR7VpWgtUAU1U8zfwBrAiHqTXQ6okzdhivzkaMRRbsXd\nwts9d6e5dVbiXA2Itm1JjmG/pFxKGvAyEItqDi0w85TlN/36fcKWLQYsljuYzReZMmUl8+bNIy4u\njkcfrY6Ly1LADGi4um7hySebM2nSeJo2bYqmaQwYMBB//1IcOnSduLhlqDdiVYGeqP/PeqBmt3IH\nOuDiUoNDhw6lGcuYMZ9gMLwJfINONwIfn5/o27dPbnwbnK0tqjXuE6Cz7es3UM32bVCvC6+i/lhs\nA8TlTZhCpCD1VhRUk1DdhvqgFgXobNtXHbhgV86KGqSTXm4highN01h1ahW+7r65fm9nddUwoJJg\newmo14FpmQJ8ieq/VBfVOh0JTE6nfJF1/fp1/vvvPypUqJA81Zu9zZu3Ex8/G5XYlsZk6s3ixSt4\n550PMRrfQHUVq4jBUJIyZTSmTVsPgNVqpWXLdoSG/gt8ZSuX9HfUKlxcAmjeXGPLljtYLFeBACCG\nxMSzlC5dOs1YO3XqhL+/P3PnLsHHx4v//W8b1apVc/J3JFf8BaT9kNAqNwMRIguk3oqCah2qdbkJ\nqvVmO3AY1V/wWqqy8UCBWUlL5IyLdy5y8vpJKvvfmxflNGclziZU5mbPA/VqJS32fev2o9Zrbksa\niXNRHqiyfv16Onbshl5flYSEMwwbNpDhwwemKBMYWJ7z53eiafUADTe3v/jnnyMYjQNRDU/jgVHU\nqrWFrVvX4unpCcCqVavYseMo6ndVV1Sj/xQgGHf3b6lb9zE2bFjBZ599wRdfPI7V2ha9fgsdO7ZJ\nMbNGai1btqRly5Y58e1wSA4PsBJCCOFcxVAtN/VQb6D7A3OAmUAEWcgtinK+UNRsPLcx21PQhR0I\nI+xAGADGhPTS1Xs5K3E+AxQHSgFJHWBrAScdPN8XGaiSgsVioVOnVzAaF6Nmv7jKuHH1ee65Z6hb\nt25yuenTJ/HEE62wWNZhsYQRF3eKGzceRHUDA9WK3Ai9fldy0gxw6dIlNO0RVHd0L9Qf/L3Q6YbS\nrt1z/PjjUnQ6HSNHDiY4+HH+/vtvZswwsmjRryxfvoz582fz/PPP5843IwucOMBKCCFEzquG6nOf\nNO1TNPALqj/zFOAZu7J6VFeOU2ldqKjmC0XN7bjbbL2wlQCfgGxdJ+jRIIIeDQIg0hjJngV7HDrP\nWX2cbwEbUCtW+QENgG7AYtvxDUBfu/ITgPqovxwbAu+gRtEKm+vXr5OQYEElzQAB6PWNOHky5d8i\ntWvX5sSJA8yY0YUHHzSgaV+hxmiOQg1C/heDYRCvv945xXkNGzZEr9+HGjdUF/gQne4oK1fOZ9my\nuZQoUSK5bNOmTZkz5zciIwdjNpswGv+iW7c3CQsLy5mHF0IIUVQcRfW3D0F1+yyH6uv8F2qUejCq\nT74PamBrOHAwD+IU+cTWC1uxWq25OgWdPWdOrNsbeBBVqf9A/RBstx2rCpS0K+sKLAVuol7JDEf9\nkAibkiVL4uXljhpMDHAes3kHNWveOwtP2bJl6datGwaDD1AWNZPGMOANPD1f4NNP+/D2271TnFO/\nfn0mTx6Dm9sKXFwu4ea2lzJlAli48A+io6NTlI2KiiIq6jrwNmrAfkNcXR9n3759zn5sIYQQRUss\nqqtmM1R/5r2oyQWGoAYG9kKtCRGF6lvYOe3LiKIgzhzH6lOrKetTNs9icGa6fon0l3GtkurzR7ZN\npEOv17NixW+0a9cZna40CQmXGTv2swz7F/fq1YVDhwZhMpUCqmEwWJk9+1u6du2SZvk+fd6kffu2\n1KpVnzt3hhMe/gS//fYVly69wsaNfyaXK1asGGqs53+oKbqNWCxHKF++fJrXFUIIIbJgP2q2l7Qs\n5u7ba1HE7bmyB1OiiTLeZfIsBllyOx978sknuXz5NGfPniUgIIAyZVRFWbhwEUuX/kWZMsUZMuRj\nKlSoAED37q9w9OgxfvvtTby8vBgyZHi6SXOSf/75B6u1IZqmetLEx89i61Z/YmJi8PFRk6K4u7sz\nbdoP9O0zoNQEAAAgAElEQVQbjItLSzRtD126PEOjRo1y8OmFEEIIIRSL1cKK/1ZQ0qtk5oVzkCTO\n+VRsbCyenp74+vqmGAw4ceLXhIRMw2T6BL3+BIsWNeHYsb1omkaTJq2IinJD01wICPChW7eXMr2P\nl5cXmnYdNbW2DjXlqxV395QDmV9//TUaNKjHvn37qFTpLZo3b56t0axCCCGEEI46FnmMcGM4VYqn\n7sSQu5zZx1k4wb59+wgMfBAfH39Kl67E1q1bUxwfO3YSJtMyoDcWy0SMxhYsXLiQ/v0Hc+lSG6Kj\n9xITc5hjxyrw2Wfjk887e/Ysfft+SPfufVizZk3y/qeffpqKFePx8HgV+B6D4Wn69fvfPYkzwMMP\nP8xrr71GcHCwJM1CCCGEyBWaprHixAr8PPzyOhRJnPOT2NhYnn76ea5cGYPVGs/16zN59tkXuXHj\nRnIZszkRNXufYrH4kpCQwLFjp0lMbIdqNXYhLu5Zjhw5DUBYWBj/93+PM22agXnz6vDii28xb958\nADw9Pdm5cyNDh9aiZ8+jTJnyIV99NS4Xn1oIIYQQIn1nb57l1I1TlPAqkXnhHCZdNfKRs2fPkpjo\nAyR1sWiDXl+No0eP8uSTTwLQs2cPZs/ugcn0GXASd/dFdOy4g2PHznHq1Fzi45sBiXh5LaBRo6YA\nzJgxC6PxVaxWtbK5yVSbkSM/4tVXXwHA19eXkSOH5+7DCiGEEEI4YOXJlXi6euaLt93S4pyPlC5d\nmoSEa8Bl254bJCScoVy5csllJk/+gg8/bEnNmoNo2nQZoaF/Ua1aNb7+eiwPP3wag6ESXl6VaN7c\nk0GDPgYgLi4ei8Xf7k7FiI+Pz7XnEkIIIYS4HxdvX2T/tf15OpOGPWlxzkfKlCnDqFHDGTOmMTpd\nCzRtK+++25sHH3wwuYyrqytjxoxkzJiRKc719/dn165NhIWF4erqSsWKFZP/Mnvlla5Mn/4sJlMN\nIACD4SN69341Nx9NCCGEECLL/jr9F+4u7rjo8kdbryTOuUzTNDZv3kx4eDgNGzakSpWUo0OHDBlA\ny5bNOHLkCNWrv0XTpk3TvZbZbGbIkBDmz1+Cl5eBiRNH8MILL9xTrkGDBqxYsYBBgz4nJsZIjx5d\nGDJkgNOfTQghhBDCWcJjwtlxcQcV/CrkdSjJJHHORZqm8eKLPVi3bh86XS0sln4sWfILbdu2TVGu\nYcOGNGzYMMNrbd26lQEDhrF/fyKJib8B1+jevSdr1pRK7g9tr2XLluzZ09KZjyOEEEIIkWPWnlmL\n3kWP3kWf16Ekyx/t3oXE999PpUKFmgQEVGfMmC/QNC3F8dWrV7Nu3RFiYvYRHb0Ek2kZr77aO52r\npW/hwkW0afMSu3adJTFxKlAHaI3J1J/Fi5dnev7GjRupWbMh5co9SO/e7xMXF5flGIQQQgghcsp1\n03VCw0Ip51Mu88K5SFqcnWT+/IUMGvQVJtM8wJ1x417H19eHZs0eZ+jQsdy8eYfKlUtgsTQAPG1n\nNeHWrXAsFgt6veN/TX388UhMpkWoVcuvAo8CoNdfxc+vWIbnHj16lOeeewmTaSbwEPPmDSY2th/z\n5v2Y9YcWQgghhMgBf5/5Gx06XF3yV6qav6IpwObNW47JNBJQXSxMpnH8+ONnDBsWgtEYAlTmwIH/\nYbHcAgYCD+Li8jUPPVQvS0mzunYMUBEYAbwBvI+Ly2X8/Vfw7rs7Mzx39erVJCa+AnQEIC5uBsuX\n1wQkcRZCCCFE3rsRe4N1Z9dR3rd8XodyD+mq4STFivmg012y23MRo/EWsbE9gb7AMeLjr2A2m4BH\ncHPzp0qVX1m1alGW79WxYwc8Pd9BJbs3gc9o3PgIhw7tJDAwMMNzfXx8cHW9YrfnCl5ePlmOQQgh\nhBAiJ6w9vTZftjaDJM5OM2LEAHx8JqPXfwgMxmAYSqtWT6LTWYANwDTgNGDExWUYDz9cl1OnDuDt\n7U2PHn1o2PBp/ve/QZhMpkzvNW3a1wQGXgP0QCSwlwMHznPs2LFMz23WrBkuLltwcekBjMdg6MD4\n8SH3/+BCCCGEEE5yI/YG68+uJ8A3IK9DSZMzE+dAYC1gAi6hmlmdUTbfM5vNfPbZJGJibmKxTAW+\nIj4+hr17D2K1zgQmorpGlAd0WK3vc+zYQeLi4mjUqAWLFvmwe/fHTJ9+jvbtX0oxqDA+Pp6BA0fw\n6KPNKV++BgZDcUqVeoCLFy/arusH1MZkeot16zZmGOfVq1dp1uwZYmNfxmqNxtV1Em+80ZHevXvl\n1LdGCCGEcERzVCvTbSAGSFq1qxNwBogFdgC18yQ6kWvWnl4LkC9bm8G5ifMs4BRQDlXRRwONnVA2\n3xs7diLLl4ehaV8DNYEwLJal7Nt3Gk2bCtwC1gMJtjM2Ua5cJXbs2MH16z4kJn4JtCEubh7bt28n\nPDw8+drdur3J99/v5+BBjatXfYiNLUNMzHASEgzAEVspDQ+PI5QtWyrDOOfNm0dMTFus1m+A5ZjN\nf/Pbbyud+80QQgghsqYlMAf4EigLVEIlz5WA2ajGtVLASmBJ3oQocsN10/V83doMzhsc6A+0ALoA\n0cAuYD7QFfg3G2ULhA0bdmAy9QWWAR+gWpa/Rs160QN4FWiPTlcNX9+H0bS9LFiw3DYNnMXuShbA\nmrziX1xcHCtWLMFiuQ4UR7Uu7wAeBGoAz+Pm1hV396sEBFymT5+ZGcYZH5+AxeJnt8cfszkh3fJC\nCCFELpgEvAkkvTZNmiO1A/A3sMb2eRwwADUH66HcDFDkjlUnV6HT5c++zUmc1eJcDZUER9vtOwZU\nz2bZAiEoqDyurv8CZYADtr3+wFnb1y5AXwIDDfz667ucPHmQJk2a8PjjjxMQYMHd/R1gCV5enWnZ\nshVly5YFSE6gwQz4oH6XJE03F4yra2s6dLjN99934cCBbfj6+mYYZ6dOL+Dp+QvwC/APBsPrvPaa\nLL0thBAiz5QHHgbeAq4BUcB0wBuVF1ywK2sFTlCA8wWRvqvRV9kUtokAn/zb2gzOa3E2oPof2UtA\nZXvZKVsgjB8/ivXrm3H7diAm0yE07Rient7Ex6/H1TURs7kCnp4zmTHj5xSrBHp4ePDvvxsYPvwz\njh//laZNGzF8+KAUx197rReLFj2HydQJ1aL9MvA5cAQPj8188cVOqlat6lCcNWvWZP36P/noo1Hc\nvHmbzp3bERIy1KnfCyGEECILKgNG4HvUK9oywGLgC9SiB7dTlY9HJdWikPnjxB+46d3y1SqBaXFW\n4mwC3FPt80D9MGSnLCEhIclfBwcHExwcfL8x5piAgACOH9/LunXriImJwWQy4e7uTqNGn7FmzRru\n3ImhQ4e/qF+//j3nFi9enB9++AqA/fv38/vvv1OzZk3q1KkDwMyZ31Gz5resX78dvb4Z165FcPFi\nd6pWrcKUKWscTpqTNG7cmO3b12b/ofOp0NBQQkNDnXEpP2As6tVBD7v9nVCjMsujXi/0Bo4644ZC\nOIHUW1HQaKhkeJvt8xVUX+dxqEkEClW+INJ24fYFdlzaQWX/yrl2z7ADYYQdCAPAmJBmlUqTsxLn\nM6hOuKVQr1kAagEns1k2xQ9Cfubn58eLL754z/6HH37YofNHjx7HhAk/oNc3xmLZzmefDeajj/qj\n1+v55JMPeeGF59i9ezflypUjODjYrhuHsJf6l+Xo0aPv5zLPA0tRfWzm2e1PGqjyErAV+B9qoErN\n+4tWCKeSeisKojNASdt23bbPzfb1SeAZu7J64CHU5AL3KCj5gkhJ0zSWHluKl6sXLrrcmyU56NEg\ngh4NAiDSGMmeBXscOs9ZEd5CTSPzKarFowHQDfW6Bduxvg6WLXLCwsIYP/4rTKY9REcvwWTaybBh\no4iIiABgxYoV1K3bhLff/p3nnnuPLl16ppiyTjjdCtQv7k8B+79Q7AeqGFEtIuVQA1WEyGtSb0VB\nFAmsBqagBvFUQg0A/BVVp4OBNqjunAOBcOBgXgQqcsbJ6yfZf20/Zb3L5nUoDnFmat8bNd1DOPAH\nEAJstx2rivpr0pGyRc7ly5fx8HgA1QBfH6hOfLwLW7duRdM0und/E5PpT6Kjf8No3M/atftZu7bw\ndrfIR1I361cHztt9loEqIj+SeisKmp6oUfBngX9Qb0SmoAYG9gJ+QP0P8nmgcx7FKHKAxWph3uF5\n+Hv4F5g36c5MnC8BTwNeqAVOvrc7VgXVCuJI2QJv8eIl1KjRkCpV6jJmzBeZtg6XKFGCmJijqG/J\ne0AkmjaRPn0+4MaNGxiNt4CGttKeaFp9Ll++nLMPIdLixd1pkpLIQBWR30m9FfndTdS8rSVQLc5f\n2B1bDDyAGijYhLsLGIhCYM+VPZy/dZ4SXiXyOhSH5d+J8gqo9evX8/rrH2Ay/QQUZ9y4d3F1dWXw\n4I/TLB8XF8ezz3ZB05qgum29aTvSC7P5e86ePUu1ao9w6tRkNO1D4DhW6xoaNPgwdx5I2HN4YKsM\nUhFZ5cSBrakVugHZIv/IwXorCrl4czwLjiygtHfpAtPaDJI437eIiAg2bdqEp6cnrVu3xsvLC4C5\nc5dgMg0iaTyDyTSZOXMGpJs479mzh+vXPbBap6NalW+hunndJjHxMiVLlmT16sW0bv0CFy+OxMVF\nx9SpU6hbt25uPGZRl/pVgcMDVWSQisgqJw1shWzUW5C6K7LGifVWFDGbwjZxK+4WQcWC8jqULJHE\nOR3x8fEMHDiSdeu2EBhYju++G0eNGjUA2LdvHy1btsdiaYim3SAw8FN27dqEn58fPj5e6HQR3O2d\nEYHB4JXufVxdXdG0ONRUlj2Bx4GnMBg28cIL7Tly5AhBQUGcPn2Q27dv4+vri16fv+c4LERS/wm8\nAjWwqg2qH977yEAVkf9IvRVC5Gu34m7x+/Hf8/1iJ2nJvXk/CphXX32LmTOPcfz4BDZsaE7jxk9x\n4sQJmjVrS/36wdy6NYTo6OXExGwmLKwWX345GYCPPuqHj89MXFwGAeMwGN5j3Lgh91z/5s2bfPzx\nYMaO/ZZixSx4enYH6uLubuChh7by3nvPsWzZCnr0mE6TJm0ZOnQ0xYoVk6Q5d7RFjfT+BDUQJRJ4\nAxmoIvI3qbdCiALh9+O/Y7aa8XD1yOtQskxanNNgNptZvnwRFst1wAdNexKzeQevvNKbI0dqoCYJ\nedxWWkd8fGPOnTsEwAMPPMD+/duZNu1HYmMjefXV5TRp0iTF9U0mEw0aNOfSpcYkJDyDl9dZqlc/\nS8WKq2ncuDMffNCXMmUqEhe3hdjYOkAU335bl27dOiUvjCJy1F9A6XSOLaYIT50o8jWpt0KIfO/c\nzXOEhoVSyb9SXodyX4pk4nznzh3Cw8OpWLEiJpOJfv0GcvDgMR55pAbffz+BEiVKoNO5oMbUqJXA\ndbpoTp06Q0LCbOAr2zYbuIO39yxatvxf8vUfeOABJk4cl+79169fT2RkcRISpgM6YmM7cvRoWXbu\nDMXT05OLFy+iBsInJcmlcHOrw4ULFyRxFkIIIUSBZNWszD00Fx93n3y/tHZ6ilxXjZ9++pkyZSpS\nr94zlCtXhQYNmrF0qSfHjn3BsmV+PPFEa2bOnInV6gY8BfyEi8vbFC9+looVKwG7gAlADOCDi0sg\nffq05rXXemR0WzRNIzExEVCJe0KCG3e7Inqi0+mwWCwAhIZuIS7uDrDMdvwQiYl7HF6FUIic1q4d\n6HS5vwkhhCi4dl3exZkbZyhlKJXXody3ItXifOrUKfr1+4T4+J3Ex9cAPuX27anAd4COxMSmnD9f\nkXfe+QAIBY4C63FxWc93382kfPnytGjRDrVmy3WCgv6PbdvW4efnl+F9f/hhGgMGDCQhIZZGjYK5\ndu0K8fFXgLFAU/T6r2jV6lm8vb2Jjo6mT5++wCygP2pe51uMGTOeoKCgHPrOCJE1q1fn3b2ffTbv\n7i2KjsGDv+DatViHy5cr58X48YNyMCIhCjZjgpF5h+ZRxrtMgZp+LrUilTgfPXoUN7dGxMbWAGJR\nXS001IJFbkA88fFRqJbgRkBj4E3c3F7i9u3bdOjQgePH9xEaGoqPjw9t27bFwyPjju2hoaEMHDiW\nuLi9QBC7dj0H+AJ7gSHAH1itR/jtt2sAXLt2DVfXEsDLqPE7V/Hz60Ht2rWc/w0RIptk5XdRWF27\nFktQUIjD5cPCHC8rRFG0/L/lGBONlDSUzLxwPlakEueqVatiNu8DIoAwwADUBl60bXNRU5xWBH4E\n3gL+w2LZSL16IwCoUKEC3bt3d/iemzdvITa2O2qFcbBY2qPG8FQFFgEJuLj44u6u1ieoWLEiLi5G\nYC1q6tUbJCYeoWbNmtl6diGEEEKIvHDu5jn+PvN3gR0QaK9I9XGuU6cOAwa8h5dXHXx8+qES6AWo\nluW/0Ot3U7JkSdTMTROAkkBdRo36+L77FwcElMPLaz9gte3xQ6fbjErMD+Hh0YsWLZ5Nbrn29PTk\nzz8X4+fXE2/vynh5BTN79lQqVqyYnUcXQgghhMh1ZquZn/b/hK+Hb4EdEGivSCXOAKNHD2PfvlCW\nLh1DcHBDDIYXAC8Mhqt06PAc69b9QenSU/D0vIO7ezw//jiNoUMHZ/k+J0+e5J13PmDjxn8pX/4q\nPj7N8PbuicHwMTNmTKZhw4VUqNCNrl29WbZsbopzmzVrRkTEeQ4d2kRU1GVeeqmLk55eCCGEECL3\nbA7bzIXbFwr0gEB7RaqrRpIaNWpQo0YNWrRowdSp0zh8+AT16nWjcuXK/P3333z33Rc8/vjjlC5d\nGk9PTwAOHz7Mxo0bKV68OF27dk3en5bTp0/ToMGTxMS8g6Y9iKfnGt57ryW1atUiOHgkDzzwAL17\n984wRg8PD6pWrerU5xZCCCGEyC2RxkgWHl1IgG/BWyEwPYU6cY6MjOSrr74lPPw6HTo8Q4cOHVIc\nd3V15f33+wEwfPinfPzxlyQkdMDDYzFt29bmt9/mALBy5UpeeqkXFksXXF1PMWHCD+zeHYqXlxea\nbXSU/QjRqVNnEhPTC00bDUBc3IOsWjWSHj168MYb/QkPj6R9+1aMGxeS3LdZCCGEEKKwsGpWfjn4\nCy644OmafmNjQeOMrhq1gR2oaSpOo0bZZWQOYAES7bavnRAHAFarlb1797Jq1Srq1GnMpElRzJ5d\ng1de+ZjJk79L85ybN28yceIkTKZtmM2TMBq38tdfW9i3bx8Ab7/9ESbTIuLjf8BoXMu5c6WYPXs2\n3bu/hbu7AS8vf0aO/Cw5iY6NjUfT/O3u4I/RGM2TT7Zm69YOnDw5malT99G79/vOemwhhBCioPNE\nzQW71W5fJ+AMKsfYgco5RAGw4+IODoYfpJxPubwOxamymzjrgCXACqAU8D5qjreMhk1qwOeo+d+S\ntg+zGQeglspu2/ZFmjd/ic6d+3HtWm3M5qlAf0ymFYSEjE3zvFu3buHq6g+Use3xwtU1iBs3btiO\nR3H3Z1VHfHxt5s9fyrJllzCbrxAff4Qvv1zML7/8CsBrr72MwfA1aoXbUAyGd6lXrwZmc3ugD/A4\nsbHzWbjw1+RkWwghhCjC9MBCwAOVJ4DKJWYDfVE5xkpUziHyuRuxN5h7aC7lfMoV6Dmb05LdxPlh\n1NQT4wAjap61UKBjJuflyHfxxx9/5J9/7mA0HiMurj9g36emFAkJaU9mX7FiRUqW9MbFZRJwG1iE\nph2nXr16AAQHt8LdfQgQDezDw+NXLl2KIjZ2GFAcqITJ1J9VqzYC0LhxY37/fS4NGkyjVq2hhIS8\nRvv2bXFxuWN319u4uOhp1KgV5cpV4/nnu3H9+nVnf0uEEEKIgmAGcByYxt0coQPwN7AGlWOMA8oB\ndfIiQOEYTdP49dCvWKwWDG6GvA7H6bKbOFcHLqbad8y2PyODABNwCvggmzEkO378NCZTa8AdaA8s\nBeYBe/Hyep127Z7j1Vd707jxMwwaNILp06czcOAQFi9ezKZNq6hT5w/c3QOpWnUsGzastE1NB/Pn\nz+Spp27h5laWYsXaM23aRIKCKqHTHU6+t5vbIcqXL538uXXr1uzevYGjR7fzyScf0rlzZ/z89uPq\n2h+YiZdXG3Q6N/bs6Up4+CrWrClF69YvSAu0EEKIouYLVCvzEFI2rFUHztt9tgInyDzHEHlo+8Xt\n7Lm8h/K+5fM6lByR3cGBBlS/I3vxqL8I0zMEeBe1XF8T1GuX88DybMZC/fp1MBi+x2R6D6iGXv8c\nBsMQSpYsTuvWzVmxYhVRUS9hNr/A7t190enKYbG0x9t7Et26Pc7+/VvTvK6/vz9r1ixVDxcfz1tv\n9Wfnzi1o2kbc3P7B3T0WP79DDB26Pd3YihcvzsGDOxg3bhJXruwgMLAds2YdIy7ubQASE7/h6NGS\nREVFUbp06XSvI4QQQhQivVCJcFrjowyo18D24gHvnA5K3J8IYwQ/H/yZAN+AQtdFI0lmifNyoHk6\nx8ajWoxTTwvhiXqlkp5rdl9vRa1A0pZ0EueQkJDkr4ODgwkODk73wj169CA09F/mz6+Mq6sfAQHF\n2Lz5X8qXL8/y5ctZsOA4ZvNYYD9WqwuwGfDAaOzP3LmV+fTToQQEpJwyZdWqVUya9C2XL1+nQYO6\nuLjoWLbsGnFxJ4CDwCs8//wzuLm1YMSIMbz33pvUrVs3zfjKlCnD119PAGDjxo3MnLkJ9Qe0C3AT\nqzUBLy+vDL51IjOhoaGEhobmdRhCCCEcUwtow928QW/bYlH5Qeocw4N0coys5AvC+SxWC7P2zcJF\n54KXW/7PZcIOhBF2IAwAY0JGaWtKmSXOmfVVfgS1lrQLd5fGqwWsdzgC8AWupnfQ/gchMzqdjp9+\nmsLnn4/AaDQSFBSEq6tr8rG7IUajBgJ6JIfg6lqMmJiYFNebPPk7PvnkU8zmcsAwTp06jE43BU3b\njGpUL0di4sssXjwPs3kwYOHXX1uxefNfNGjQIMNYmzVrRq1axTl8uAOxsU/i7T2f3r374ePj4/Dz\ninul/mU5evTovAtGCCFEZgbYtiQ9gTeBZkA/4Bm7Y3rgIVSj3T2yki8I51t3dh3Ho45TpViVvA7F\nIUGPBhH0aBCg5pves2CPQ+dlt4/zYVQL8hDAB1XBm5Oy9fg/UibgU1DJtTvQGvV6ZlE240ghICCA\natWqJSfNAC1btqRYscu4un4EnASOAt8AYbi4hODtbWXevHksWLAAq9WKpmkMHToSs9kK/Am8DHyO\npvnYzld0uo2YzV8Cg4FhmEwjGDv2m0xjdHV1ZfPm1Ywb14p+/cKZOXMQX3893onfBSGEEKLA0XG3\nn/OfQDCqRdoHGAiEo173inzk3M1zLDqyiAp+FQptF40kzlgApQswCxgBXEL1V7LvzF8d8LP7XAJY\nBxRDdfJ/FZWA5ygfHx/27NnCoEGjWLx4JHFxTbFYZgGjcHd3JyamDJ9+mojBMJlly9awaNFsEhJM\nqC5WbsnX0etrode/haZtwdU1HLP5JomJxVM8nskU71BMnp6efPCB08ZGCiGEEAWdxt3p6M6jcoof\ngEBgP9A5j+IS6TAmGPlh9w/4evjiri/8i7o5I3E+AjTK4HjqVu2XnXDP+1KmTBneeKMbS5fuwGJZ\nhQrtDHFxj6By+OIYjcNZvfohjh49Stu2HVm9+hhWaxdgJHAYL6/9rFixjH379mEw1ARaMGDAQEwm\nf8CCwTCMt95y2nouQgghRFHys21Lsti2iXxI0zR+OfgLN2JvUMk/oyU8Co9CueS21Wpl165d3Llz\nh8cee4zixe+2CCcmJqLTGbibz8cC/qj5mAG8cHML5NatWyxc+BO9e/fnzz9XYjb3IjCwOCVK1OHb\nb2cxZswQatdWi6K4urry1VfD0Ol0DBkylhdf7JSLTyuEEEIIkfu2XNjCjos7CCoelNeh5JpClzib\nzWaefbYz27cfR68PRK8/webNa3jkkUcAtTiJr28URuNILJbWuLvPQNPisVgmYLX2RKf7E73+EnXr\n1sXb25sFC2YB8PnnExg79lfOnn2XvXvDWL/+KQ4e/JeqVavy1ltv8tZbb+blYwshhBBC5JqwW2H8\nfOBnyvuVx0WX3SFzBUehe9Kff/6ZbdtuYTQe4c6djdy8+Sndu7+bfNzb25udOzfRvv0ZatQYwCuv\n+LB79ybq11+Dt3dtateexebNf+Hn55fiut98Mw2TaR7wIpr2MXFx3ViwYGEuP50QQgghRN66E3+H\nb3d+i4+7D56unnkdTq4qdC3Op0+fxWRqwd0Bfa05f35EijKBgYEsXz4vxb5duzZmeN3UK/pp2r37\nhBBCCCEKM4vVwoy9M7gTf4cKfhXyOpxcV+hanBs0qIe392LUxB1tgafw9y+G2WwmJiaG8+fPYzab\ns3zdDz54B4PhVWAZOt1XeHkt4JVXujk5elEAhKAmBE+0237Py4CEcEAIUm+FEE7wx4k/OBR+iEDf\nwLwOJU8UuhbnTp068eef/9/evUdHVd0LHP9OhknI5J0AISQkASLy0lZBHlItUK4o+ABfy0u5Vbu0\nrbfaC60oUnsJbb1Iuyj1UQutFtpCuVAuVWpFWiupWhFBoLYQFJGEZ4Q8CEkmyWTmnPvHTnCICTkz\nnEdm8vusdRbJyZn9mPxms7PPPntv5de/vgW1gk06x4/Po3//ImprK4mPTyc52cNrr20+N+/ZiO9+\n9xGysjJYt24VmZmpPPHENgYPHmxZPUS3pQNrgK84XRAhwiBxK4S4aDuO7eAPpX+gIL0g5tdr7kzM\ndZxdLhfDhw+hV6/7CARuAcYQDE6kquovwPsEAoPx+X7N9Om3c/ToB2Gl+8ADX+OBB75mWdlFVAhd\nnF+IaCFxK4S4KIeqD7HyvZUMSBlAr7iY6z4aFnNTNQDi4+OJi6tH3Ym8ErVB4XVA2wjxVzh5spyG\nBuN7kwvRSketRd6IWpz/CWeLI4QhErdCiIhV+ipZ/s5yUhNSSfQkOl0cR8Vkx3n27NmkpPwFl2s9\nkMkldqUAABSESURBVAAMAnYAZ1uveIukpFS8Xq9jZRRR6znUot9JqK3kbwXmOloiIbomcSuEiEiD\nv4Gn3nmKoBYkvXe608VxXEyOtWdnZ7N373Yef3wxa9duIBAYB4wGivB4hhEfX8qGDWt67PwccVFO\nh3y9B1iJegr1p6EXFRcXn/t60qRJTJo0yYaiiWhWUlJCSUmJVckbiluQ2BXhsThuhcP8QT/Pvvss\nJ+tP9sgVNDoSkx1ngLy8PFav/iXz589l7tzHqag4zejRM7n11hsZM2YMAwYMcLqIIjakcH6nBDi/\n8yGEEe07qYsXL7Yyuw7jFiR2RXhsjltho6AW5IXdL1BaWUpBWoHTxek2YnKqRqiRI0eybNli0tJS\nePPNXWzZsu28LbhDlZWVMXr0F4mP95KfP4K33367y/R1Xae8vJzjx4/Lus49w49Qty8SgLHAN4C1\nF3yFEM6TuBVCGKbrOuv3rWf70e0UpPXcFTQ6EvMd5+PHj3PNNdfx97/P5OOPV7J6dTmzZ9/3mes0\nTWPKlJvYu/d6WloqOHr0f5g2bSYVFRWdpl1XV8eECVMZPnwcRUWf48Yb78Tv91tZHeG8XsD/ATXA\nauBxYIuTBRLCAIlbIYQhuq6zqXQTrx58tUcsO6fpGnX+OsPXx3zHeevWrQSDU4CvA1fR1PRb/vjH\njZ/ZBKWiooKTJz9B0xYAqcBM4uJGs3Pnzk7TnjdvIXv35tHYeJympmNs29bA0qU/sbI6wnnfBgoB\nLzACWOVoaYQwRuJWCNElXdd5+cOXefHAi+Sn5+OOcztdJMv4WnwcOXOEo7VHGZs71vDrzOo49wE2\nAT8wcO1IYDtqWaSPgNtMKkOHevfujRpkaVOL290Lt/v8YEhNTUXTfMCJ1jPNBIOHyMrK6jTtnTv/\nQXPzPYAb6E1j45d55529ppZfCCGEiGELgf1AA3AY+E67n98KHEL1Gbaj+hDCArqus/XQVjbs20B+\nWn5MrtWs6Rqf1H9C+Zly/EE/t4+8nWXTlvHg2AcNp2FGx/kh4CRwC2qt0AtxARuBzajO9kOokY98\nE8rB4cOHmTfvEe6770G2bdsGwM0330yfPuXEx98P/Byvdxrz5z/ymVsPycnJLFq0CK/3C3g880hK\nuoapU8cwYcKETvMbNmwIHs8WVLU1EhJeZcSIIWZURQjDZswAl8veQwghTKIB96KWS7wJeBi4vvVn\n+ag+wjdRfYaXUX0IYTJd13nl4CusfX8tA9MG4nF7nC6Sqer99ZSfKedo7VGG9x3O/InzWXbdMqZf\nMp3MxMyw0jLjz4lnWo9VdL0z1SggC1jS+v0WoAS1rujTF1OIsrIyrrjiaurq7kbTBrNu3ZdZs+Zn\nzJo1i9273+LHP17OkSO7uf76R5kz58sdprFw4XwmTBjDe++9R0HBfG677bYLzu15+ukneffdKVRV\nbQOaGTQomUWLfn4x1RAibK+84ky+06c7k68QCxYspaKiMazX9O+fyJNPPmpRicRFeDLk638BbwCf\nA15FDcj9ufVrUH2Hh4HLgfdtLGNM03WdzR9s5vf7f09BWkHMdJoDWoBT9afwa376ePsw+7LZjBkw\nhozEjheIMMrucfihwNF25/a3nr8ozz33C+rq5qBp6jPo841g4cJFzJo1i8zMTJYsMTKLBCZPnszk\nyZMNXZudnc3+/bvYuXMnbrebsWPH4vHERsCJ6COLuoieoqKikcLC4rBeU1YW3vXCEW7U6i9rWr8f\nitrpso0GfNB6XjrOJtB0jU2lm3jpwEsUphdG/fQMXdepaarhbPNZPHEerh54NdcUXMPgjMHEucyZ\nnWz3O+RFzVMK1Qz0v9iEGxoa0bTskDNZNDaGNyIRicTERK699lrL8xFCCCFi3FLgFGpKBkAiUNvu\nmmbUDpjiIrUEW/jNP35DSXkJBekFUd1prvfXU91Yja7rDM0aypzL5nBZ9mWWbA/e1bv0IvDFTn62\nBLU2aDh8QHy7c71RDwV0yOguVrNn387q1bfh840A+uH1fot7770rzOKJaCe7WAkhRFRaANwIXMun\nz0t11GdIoJM+g+x6aVxjSyMrdq1gb8VeBqUPMm001k7NgWZO+04T1IJkebO4c8SdjB4wmr5JfQ29\nPtL+Qlcd55lhptfVzeIPgUtQDyVqredGAK919gKju1hNnDiRDRte4LHHltDQ4OPuu+/g8cdlPltP\nI7tYCSFEVHGhRpqvQ3WaT4X87ENgWsj3buBS4GBHCcmul8ZUN1bzzI5nKK8tpzC9MKrWaW4JtlDp\nq8Qf9OP1eJk6eCrjcsdFVI9I+wtmjsu76PjhwAOovyRfRE38rwAeA54CJqJGtI2vA3IBM2bMYMaM\nGWYkJYQQQgjrrQWyUX2B9tMyNqPubl8PvIVaies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"text": [ "" ] } ], "prompt_number": 36 }, { "cell_type": "code", "collapsed": false, "input": [ "# Gr\u00e1fico polar usando add_axes y proyecci\u00f3n polar\n", "fig = figure()\n", "ax = fig.add_axes([0.0, 0.0, .6, .6], polar=True)\n", "t = linspace(0, 2 * pi, 100)\n", "ax.plot(t, t, color='blue', lw=3);" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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g3bpnUVXFbnfuDPzyCyCTcb61W7p06YK7777b7bF///vfSEhIaLJ/+PDhAACF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\nxwLJrResuSQRu8ZZVlYWtOs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"text": [ "" ] } ], "prompt_number": 37 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Notas de texto\n", "\n", "Se pueden incluir notas de texto en figuras de Matplotlib usando la funci\u00f3n `text`. Tal como los textos en las etiquetas, leyendas t\u00edtulos, incluye soporte para texto en formato LaTeX:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig, ax = subplots()\n", "\n", "ax.plot(xx, xx**2, xx, xx**3)\n", "\n", "ax.text(0.15, 0.2, r\"$y=x^2$\", fontsize=20, color=\"blue\")\n", "ax.text(0.65, 0.1, r\"$y=x^3$\", fontsize=20, color=\"green\");" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 38 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Figuras con m\u00faltiples subplots e Figures with multiple subplots and insets\n", "\n", "Se pueden agregar ejes a un marce de figura de Matplotlib usando `make_axes` o bien un administrador de distribuci\u00f3n de sub-figuras tal como `subplots`, `subplot2grid` o `gridspec`:" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### subplots" ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig, ax = subplots(2, 3)\n", "fig.tight_layout()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 39 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### subplot2grid" ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig = figure()\n", "ax1 = subplot2grid((3,3), (0,0), colspan=3)\n", "ax2 = subplot2grid((3,3), (1,0), colspan=2)\n", "ax3 = subplot2grid((3,3), (1,2), rowspan=2)\n", "ax4 = subplot2grid((3,3), (2,0))\n", "ax5 = subplot2grid((3,3), (2,1))\n", "fig.tight_layout()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 40 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### gridspec" ] }, { "cell_type": "code", "collapsed": false, "input": [ "import matplotlib.gridspec as gridspec" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 41 }, { "cell_type": "code", "collapsed": false, "input": [ "fig = figure()\n", "\n", "gs = gridspec.GridSpec(2, 3, height_ratios=[2,1], width_ratios=[1,2,1])\n", "for g in gs:\n", " ax = fig.add_subplot(g)\n", " \n", "fig.tight_layout()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 42 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### add_axes\n", "\n", "El agregar ejes manualmente con `add_axes` es \u00fatil para incluir figuras en el interior de otras:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig, ax = subplots()\n", "\n", "ax.plot(xx, xx**2, xx, xx**3)\n", "fig.tight_layout()\n", "\n", "# figura interna\n", "inset_ax = fig.add_axes([0.2, 0.55, 0.35, 0.35]) # X, Y, ancho, alto\n", "\n", "inset_ax.plot(xx, xx**2, xx, xx**3)\n", "inset_ax.set_title('zoom cerca del origen')\n", "\n", "# define el rango de los ejes\n", "inset_ax.set_xlim(-.2, .2)\n", "inset_ax.set_ylim(-.005, .01)\n", "\n", "# define la posici\u00f3n de los tick de los ejes\n", "inset_ax.set_yticks([0, 0.005, 0.01])\n", "inset_ax.set_xticks([-0.1,0,.1]);" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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Qs6Z0cTx4IJLjgQPAG29U3nWJCD9f+BlLzi3BziE7K60Dgz7cW6xiUlKArl2B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\ni+dNT56InnnjxwM1akgdGZNKfDywYoV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"text": [ "" ] } ], "prompt_number": 43 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Mapas de colores y l\u00edneas de contorno\n", "\n", "Los mapas de colores y las l\u00edneas de contorno son \u00fatles para graficar funciones de dos variables. En la mayor\u00eda de los casos usaremos un mapa de colores para codificar una dimensi\u00f3n de los datosa. Existen varios mapas de colores predefinidos, y adem\u00e1s definir mapas de colores personalizados es relativamente directo. Para ver una lista de los mapas de colores predefinidos, ver: \n", "[http://www.scipy.org/Cookbook/Matplotlib/Show_colormaps](http://www.scipy.org/Cookbook/Matplotlib/Show_colormaps)." ] }, { "cell_type": "code", "collapsed": false, "input": [ "alpha = 0.7\n", "phi_ext = 2 * pi * 0.5\n", "\n", "def flux_qubit_potential(phi_m, phi_p):\n", " return 2 + alpha - 2 * cos(phi_p)*cos(phi_m) - alpha * cos(phi_ext - 2*phi_p)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 44 }, { "cell_type": "code", "collapsed": false, "input": [ "phi_m = linspace(0, 2*pi, 100)\n", "phi_p = linspace(0, 2*pi, 100)\n", "X,Y = meshgrid(phi_p, phi_m)\n", "Z = flux_qubit_potential(X, Y).T" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 45 }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### pcolor" ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig, ax = subplots()\n", "\n", "p = ax.pcolor(X/(2*pi), Y/(2*pi), Z, cmap=cm.RdBu, vmin=abs(Z).min(), vmax=abs(Z).max())\n", "cb = fig.colorbar(p)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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mZx8OjaplbTkNjBEbDAbDhmETscFgMGwYNhEncM+RXFRroglOQMlJIcezmLbs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\nb2DEI46qxco6v+tUKOvQQiEUdG33dyA6/AyIEU9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"text": [ "" ] } ], "prompt_number": 46 }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### imshow" ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig, ax = subplots()\n", "\n", "im = imshow(Z, cmap=cm.RdBu, vmin=abs(Z).min(), vmax=abs(Z).max(), extent=[0, 1, 0, 1])\n", "im.set_interpolation('bilinear')\n", "\n", "cb = fig.colorbar(im)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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wUymG4Y8XQVzXFKowb0JPi4Ef5tvGhNNwcDtswgweAp4MHgqeCh4EFYaOYWxNt+XAdU4D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\nDI6HjiuGyVNK2Zme0nTm1B+7V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"text": [ "" ] } ], "prompt_number": 47 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### contour" ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig, ax = subplots()\n", "\n", "cnt = contour(Z, cmap=cm.RdBu, vmin=abs(Z).min(), vmax=abs(Z).max(), extent=[0, 1, 0, 1])" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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TVJmZkh0up2ksKhGDWxwYJLX/AMkX95HYs5fUgYMEZs2kdtU11K5ZRXTFskntCnr2ze9m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\nKRnEgj7n1kw5D16/vfV0gTXSR2DpGldjrkRi9Uoy+/ZfV4J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"text": [ "" ] } ], "prompt_number": 48 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Figuras 3D\n", "\n", "Para producir gr\u00e1ficos 3D con Matplotlib, primero debemos crear una instancia de ejes de la clase `Axes3D`. Ejes 3D pueden ser agregados al marco de una figura de Matplotlib de la misma forma que para ejes 2D axes. Sin embargo, una forma conveniente para crear una instancia de eje 3D es usar el argumento `projection='3d'`en las funciones `add_axes` o `add_subplot." ] }, { "cell_type": "code", "collapsed": false, "input": [ "from mpl_toolkits.mplot3d.axes3d import Axes3D" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 49 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Gr\u00e1ficos de superficies" ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig = figure(figsize=(14,6))\n", "\n", "# `ax` es una instancia de ejes 3D, ya que se us\u00f3 el argumento projection='3d' en add_subplot\n", "ax = fig.add_subplot(1, 2, 1, projection='3d')\n", "\n", "p = ax.plot_surface(X, Y, Z, rstride=4, cstride=4, linewidth=0)\n", "\n", "# Gr\u00e1fico de superficie con gradaci\u00f3n de color y barra de color\n", "ax = fig.add_subplot(1, 2, 2, projection='3d')\n", "p = ax.plot_surface(X, Y, Z, rstride=1, cstride=1, cmap=cm.coolwarm, linewidth=0, antialiased=False)\n", "cb = fig.colorbar(p, shrink=0.5)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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apdKwcwCGxUggJTzI7UfRae0GKZxwSJquZ7ggkBcvczijQbjDULP0nrh00maQQQB4EeyZ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Dg6cbAsi4aGBhw9ehS5ubm4e/cupk2bhoCAAEyYMAE2Nja/6Icgl8shk8mg0Wjg4OBgmBCU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\nQgghhBBCCCGEEEIIIcSy/R9m0FG2S5KhegAAAABJRU5ErkJggg==\n", "text": [ "" ] } ], "prompt_number": 50 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Gr\u00e1ficos de mallas (Wire-frame)" ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig = figure(figsize=(8,6))\n", "\n", "ax = fig.add_subplot(1, 1, 1, projection='3d')\n", "\n", "p = ax.plot_wireframe(X, Y, Z, rstride=4, cstride=4)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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ebrstGjcchYURZs8OxsO5F1wAr78eQNdT6+ceSEa0thD6uU7yf+A8NScb19rp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\nvPLKKzRs2JDKlStz6dIlmjdvbhNTqFGjhtv0cO8Ef6+lWjezWNV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"text": [ "" ] } ], "prompt_number": 51 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Gr\u00e1ficos de contorno con proyecciones" ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig = figure(figsize=(8,6))\n", "\n", "ax = fig.add_subplot(1,1,1, projection='3d')\n", "\n", "ax.plot_surface(X, Y, Z, rstride=4, cstride=4, alpha=0.25)\n", "cset = ax.contour(X, Y, Z, zdir='z', offset=-pi, cmap=cm.coolwarm)\n", "cset = ax.contour(X, Y, Z, zdir='x', offset=-pi, cmap=cm.coolwarm)\n", "cset = ax.contour(X, Y, Z, zdir='y', offset=3*pi, cmap=cm.coolwarm)\n", "\n", "ax.set_xlim3d(-pi, 2*pi);\n", "ax.set_ylim3d(0, 3*pi);\n", "ax.set_zlim3d(-pi, 2*pi);" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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3ei+p664KqPd4wSQftw82HTSRZdfSq4WTVnUcxPiy0Rzfi+af7WgO7wBHTshj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oHRaESr1WIymXBwcMDW1rbAQ7dmzTquXDnHkSO7Cpzf8eNbkMlsqVr1/fWXBw9upFSpAJ49u8Ga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8882cdtpp+/2x6Wz86gOmjtgyoNPp7JJyTVMBszMFCNqLWKJER2SVbUVTD4qmbLVimbitPbTV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\neXsVL795lJ+lRnH3tK5t2qc8U1xunc++LGXp8uNcOjK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"text": [ "" ] } ], "prompt_number": 52 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Cambiando el \u00e1ngulo de visi\u00f3n:\n", "\n", "Podemos cambiar la perspectiva en un gr\u00e1fico 3D usando la funci\u00f3n `view_init`, que toma dos argumentos: la elevaci\u00f3n y el \u00e1ngulo azimutal (en grado):" ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig = figure(figsize=(12,6))\n", "\n", "ax = fig.add_subplot(1,2,1, projection='3d')\n", "ax.plot_surface(X, Y, Z, rstride=4, cstride=4, alpha=0.25)\n", "ax.view_init(30, 45)\n", "\n", "ax = fig.add_subplot(1,2,2, projection='3d')\n", "ax.plot_surface(X, Y, Z, rstride=4, cstride=4, alpha=0.25)\n", "ax.view_init(70, 30)\n", "\n", "fig.tight_layout()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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/XLY+2TJSUyA7YHFxMRwOB0KhUJogqW7WrFmDDh06YubM59Go0akA7OjX71LM\nm/cVzj33Ssya9R906dIN69atq/Q+ZTug2+0WdkBKOwQO2Amt7IA0CDMMU7uh6hLZ6+gxGdmyZyZT\nPyo5oS+T1S+TfZDG0mxBEVbXHxJEfr8f8Xi8ysLK7/enrLPKx1JIggMAysrKhEUuG/F4HPff/1f0\n6HEWvvjiG7jdRbj99sfg9/vh8/mg6zr+9a9bUa/eiTjttK5pr3/yySmoX78FWrZsa7n/Rx+9CQ0a\ntEC3br0AQKz/stnsGDbsSsyY8Rb+/e+X0LbtKdi9e3dO55lMJllYMXnBguoIgxZdBoNBBINB0TjV\nXGWi51EyHEWw5lvFuf/+v2LZspV44IHXMWDAOAwffiUWLfoWwHEYO3YcHn/88Wo8ywOQIIxEImIQ\n8/l8h3WdV22AEp2Ki4vFAmKzICHyHUQMw8App5yCc84ZgFGjbsWddz6H1157Fj17jsSttz4Av78Q\nZ5zRH1OnvoDzz78KAwcOxptvvpnTe8jef2oSWVZWJjz78vNIWMlBLDxIMkzthqrPZNs2i5Vs6Xw0\nDlr1jgIgrMXmbdma+8pCK5NwqmiyTVEUIYjIXZKPICKbO61BDQQCea0RktdqZVvzlUwmsW7dOpxx\nRjcsW/Y5HnnkfezevQOXXjpFTGza7Xa43W589tn7GDp0IkKh0H6HQvm+DMPAp5++hwsvvMbyWFRV\nxZo1yzF+/C0ADlTT7Ha7WCfdsGET7NlThkgkhm7deuCLL77I+TwNw0hZe0wWTp6MYzLBselHCNSU\nVlXVrE14KWo6kUhUW/PaL774As8+OxuPP74Mfn+xuCF3uRT8978rMWxYP9xxxxQUFRVh3LhxVXov\nwrzOiyLCj0ZLX1UgOyDFlZOwsoorz4VEIoGCgkIAbtx++zPo2fNc3HbbBfD7j8EddzyUdgz9+l2I\ncDiIESMuwuOPP4orr7wy53ORmx5TkhNQPgCbmwUDqWvsOB2QYWof5Eog4WMOkwDKf/9WvRTp9VaB\nEsCBiSSrbfF4PGNz32xCy2rNciasmtTKzXgrC9kVac1qVSLSyeHg8XgQjUZRWloq1molEgncf//9\nePrpZzFx4gPo1WsEZs68FYpSiIsuSr2eL1r0BGw2BRdddDkMI4l4PLa/EujC0qXzkEzaMHToJZbH\n8NJLD8Hl8qNfv8EADjgR5Hj0BQueQyDwK+bPX4svvliBgQMH47nnZuPcc8+t9HnSBB25H6jZsKqq\n4rPJ5fMGRzEHAAAgAElEQVRkjnxYUNViSCCRdzyZTGa8yMvhDHQxyGWRaiY0TcPll1+BceP+D8XF\n9dJm/BVFwXPPLcRllw3HpEmT0aZNG3Tu3Dmv96KgAbJ3VJcgZMqRBQnNipLQyHVG7sQTmwPw4Omn\nl6Np02bYvn0TvvzyY/z97wstmzJ+/PHbeOKJu3DqqT3xl7/cjfbt2+f9PaGbBbvdLhZW02J0uXIp\n33xRs2C68eKBkmFqNmT1owlEGves0vnMQT1AZqsfbdN13XKSjiYlrYJ0zEKLjsUwDBGaQTfmlb2m\nWvWMyifavLr2AxwQHCRov//+e5xxRle0bt0JDz74Hho3bg4AeOedlzBs2I1pf8PFi2ejc+fBsNns\ncDgAn88PXS+3ZL/yyhNo1653xuvv22+/gJ49L0g7N/q3x+PB/PmPoVevwQDs6NLlbNSt2xBXXHEl\n/vGPBzBmzJi8zzMWi8Hj8UDXdbGsQJ6sY45uWFDVQqhnBEVDA9mb8NIMPCW7VSYAoLIsWrQIW7Zs\nxsyZd6OoqD5OP71P2nPq16+PM8/siZUrf8GAAQOxfv3XaNSoUaXfg254aSCT03hqAyR8DcM4KOmH\n1Q35yb1er/Cmk8iqTPrU7bffjt279+DWW59H06bNAAAPPHANmjQ5Baed1iXt+fv27cLf/nYNzj13\nHG64YSpWrXoXo0aNxuef/w9169bN+zzI5ldYWJhSfaP+I/JND9340G+L1htyXxKGqZnE43GoqgpN\n01Ia6sq/5Wx2PupvZ5USSsLIyiKY6TqYSWjJVSta70lhTbk09jVXYYLBoKg8ZVsnbK7YWe0nlyQ/\nGafTiQ8++AAjR44EoOCOO+aioKA8DXbJkrnQNA2XXjop5TWbN3+LX3/dgoKC4zB2bBcEAruhqhEY\nBgUkGdixYysuuqg9GjVqjjZtTsegQRejadMW2Lr1O+zbtxuXX3692J+59cbSpW8gHN6DyZP/Co/H\ni3hcRdOmrXHvvc/jttuugKZpGD9+fM7nSeMIRfO7XC4xrtvt9oy9OZmjB45Nr0Xoui4GkWQyadnf\ngm7eKdGMmtfKz4vH42K2qiokk0n07NkbAwdegU8+WYkPP1yASy65CRdccLUQDpFIANdc0x979uyE\nzVYEwwgC0DB37lwMHTo06/5JEFLlADjgv65ODmZsOs1O0s09VdYMw6i2GHJCtnJUJ/F4XPTvooXd\nZLE0s3fvXhx3XGM0a3Ymnnpq4f7HdmL06FPxyCNvom3b9inPj8ViuP76QYjHDTz33Hvi8aeemgpd\n34t5817MW9BQvHpBQYF4jOyA8XhcfJfIKiRDN2TAgWbBPAt58OHYdKYyUANZsvPK1jUa3+h5VpNv\nFFAjCzGCJiEVRUmrbtF6GvNYkSmSnSpTNElFY66maQgGg+LxfNYuVzbanCpRmca3qkSkT5lyJ+bN\newU7d+7AxRf/BWPGXCucMNdc0wMnnNAJ9933DH78cQNefPExrFv3PsLh3QCcaNWqHVq2PBXNm7dF\n48bNUbduQyxe/DzeeecV3Hjj37Bp0wZs3LgOW7f+gNLS3+HxFMHt9kJRfHjhhRXiOILBYEoLkssu\n64fGjRvh/vufF4+VL4mI4+eff8R9912JBx74W06VKjNlZWVCyNHknDwJx8LqyCXbGMUVqhqOvBiS\nLlRW1ajK9lyqTj7++GPs3VuKbt3Oxplnnoc2bU7DzJlTYLc7MGrUZKhqDBMm9ILN5sH8+euwZMm7\nWL58NX744RWMHTsWr732Gvr0Sa9okSBMJBJwOp3CviUPlNVJdafxmYUgrUVSFAW6rosZrnA4XO0p\nhAfr85Y95fF4XNgB5cEEAFq2bAnAgccee1G8dtase1C3buM0MQUA69d/ip9+2ohnnlmW8vjll9+G\n664bjFdffRUjRoyotvMgwenxeETUciQSgcfjYTsgw9QC5Aa+VnHmFDyTSCQsBRNVjKyEFlWoSXzI\n40I2+2CmSHZ6vbmiRQLQ6/WKZNpcQ6EojMHtdguLNoVL5XJDn89+du/ejdGjL4GqutCxY38sW/Ya\nLrvsBlGlCwR247fftqJ9+4EYNao9Sku34dhjT8DQoWPx+uv/Rp8+ozFp0p1p+/388w/QqVM/9O49\nFL17DwWQhKYlEAyW4a23/oO5cx8GAFx+eT9MmnQfOnbslvL32rbtJ/z660bcd98TKfsttzb60LLl\nybjrrmdw882XwWaz4eKLL87rWk5/MwBira7X6xUT2iysjk74066h0Ew69Y6iH6nZhmDVc6miC3N1\nCYinn56FwYPHCUEwaNAI/PGPd2Hu3OlYtept/O1vV0HTknj66bfh8xXg3HPPxY4dP6NNm6EAbBgx\n4iL8+uuvAA7Y+iilh9J2cmlAezihC6ncx8vpdKZZSmQRQv09KI2xNky0OxwOEVeuKIqI5Y/H41i0\naBEikRgGDboKLld5FdEwDKxc+RaGDPmj5f4effQ2tGvXE02aNE953OXy4Npr/4qbb74VwWAwr2M1\nW0Fk5N5chYWFMAzDsjeXPIEhW21ry+fFMEca9PujarnVb5wsWblY/czb5HEym32QhFam+HQAlu9F\nEzRFRUXwer2IRCJiLMgFcy+lykabZ9sPkDki/csvv0S3bj3QpEln3H33fCxdOh8XXnhDygTUlCmj\nABhYtmw2OnTohNmzV+PZZz9G//4jEQqVYcyYP6W9fyQSwo4dWzFqlLytfHK4bt16OPnkzrDZ7Hjk\nkUWoX78OpkwZiSuvPBfbtm0Rz37mmelo1KgJmjRpYXmODocDJ510Knr0GI4rrrgSS5cuzSs9kWx+\nNIZ4PB5EIhGRmkwTjzxOHF3U/DvVowxd1xEKhbB3714x80HpY3I6WbaeS4di9rysrAzvv/8+evYc\nlPL40KEXo2/f0fj73yfis8+W4o47/gWfzw8A8Pv96NatG3buVOF0+pFIJDB69Bioqipiz10ul7BG\n1IYqgNzHKxaLiRSkitYa0QxXSUnJ/kaFkZSI1poOWR2Ki4vh9XqxZcsWjB49GoANLVuejD/+sS8G\nDmyMAQMaQlUjePnlGbj33uuwZ89OsY8NGz7Hzp2/4Oab/2b5Hqec0gWnntodf/vb3w/quVDvNbk3\nl7n/C1Ws6GYqkUggGAyK9WW14TNjmNoOTVplijMHIASAVYJdtt5RVtvod52puW82oZVIJFJ64pmv\nESRAaHKnuLgYbrcb4XAYwWAw56brJIisos1zuT5li0h/8MEHcd55AzF+/L247LK78dprT8IwbLjk\nkklIJpOYO/cxjBnTBr/88h1OOaUvXn99M26//Qk0aHA8otEYXnzxYdSrdwLq1m2Q9r5vvPE8PJ5C\ntG7dzuKobHj11Vlo3Lg1WrZsg7vuegpPPrkEXi9www0DMW3arTAMA2vWvIehQ7Ovj1LVOJYseQGd\nO/fE5ZdfgW+//TbnWHpacgGktu5wu92IRCIIhUJCaFOsP48RRz4sqGoANPNNvaOo14E5xpmeVxN6\nLi1evBjt23dFUVGdtG3XXHM7ADvcbj86dDgjZduQIedj796tSCSOAQCsXbsWS5cuhcfjgc/nqzUh\nAPJnQYN7PkKQLsZFRUXw+XxQVRWlpaV5zTAeDmw2GxYtWoQOHTruf0THY49NRoMGdTFlyr/QokVb\ntGzZCaNGXYGNG1fh0ks7Y9asBwEAzzxzH5o1a49jjkkfXInx42/B7Nn/xi+//JLzsWWrUFkh9+by\ner2Ix+OWnwUJK5qBpHWN3NOKYQ4ecgNfwFowkdXPar1jtkhzq23yOqxMzX0rEloVrcu1CosoLi6G\noigIBoPixjwXaFKvqKhIHHs+1yZ5P4lEAmPGXII777wLN9/8b5Gyt2DBozjrrIvx2WfLceGFbbBw\n4QPo0eMcAHbce++s/fcl5VWmggI/1qz5CJ069bPsd7hs2SK0bdst4/F89dWn6N9/BFwuNwoKCnDc\ncU0xbdpLuOmmf2DVqlcxfPgp0PU4hgy5LOt5zZz5ABTFialTn8HIkVdj7NjxYoK6MhVCEqjm74L8\n+blcLoRCIeEcYmF1dMCC6jAix1PTD4/6R5m922ZbX74LWauLF154Cb16DbHc9s03n8MwEtC0OBYs\nOOBlTiaTaNasGVq1aou2bfsD8ABw4LrrbqjWdUQHE7Jimj+LqgpBWvdWWFiYMjNotqDVNFauXInx\n4y8DUA8AcPzxzTF//lpMnfosTjmlG7Zs+R4jR16F0aOvxQsvrMKkSVOxaNHjmDx5BDZsWItLLrk2\n69+tXr1GOO+80bjzzr8cmhNCuh1Q/izMA6JsByRxxYMmw1Q/1GdR07SsoihTb6VM65wybaP9Z6pA\nUey61bFQSqCVddC8fzNU/S8pKYHD4RD3B/kIq4KCApFGZ666V5ZEIoFJk67DokX/xYkndkfr1qdD\n0zR8993n2LdvJ37++Tvcc88ItG/fES+99DVCoTI0btwWPl9Byn7KyvZi375dGDPmKjgcdkQiYSGs\nDMPA1q3fY8gQ66CIH3/8GrFYBMOHj6a/ElwuNzweD7p1OxuzZ3+AZLK8B+cbb8zPeC6apuLdd1/A\nmDHXwG634/zzx6NFi1Nx9dXXorCwUFQIA4FAxnGXxFRlPj+n04lgMCgm5VhYHdmwoDrEyGuFAoEA\nYrGYmOGysvXJa4pkW19VqOoaqt9//x1ffrkOnTunB0oAwDPP/BWtW5+BMWNuwJw5DyMYLNufqlR+\nITnnnH6w2XT07HkNAB07d+7A+++/X6n3PhwXIav1UdX1WVhBM4NkQQsGgzlbEqqTTJWeQCCAwYOH\nAigCsAeAB7Nnf4TCwjpwudxYufJ12O0KOnXqhlAoDFWNY9Cg0Xj66SXYtOlzAA506tQ963uHQmVY\nvfpdzJs3D5s3b875uKuKbAd0Op0pa8ay2QFjsZhoss0DJ8NUDUrLo7VKVtdduUmv2eZG9iurhNhs\n2wizSKNkvExWP13X0/ZnPqaKxmGyhdPaKHniNRcozdTv9yMej+ckrPbs2YNzzx2AZctWwGazY9q0\nufB6PdA0FdOnXwMgiUBgK554Yinuuus5eDw+rF//Kc4+e2TavhYunImCgvo49tjGcLnc8PsLYLeX\nC6sPPvgvbDYHunbtZXkcr7zyNBo0aAa3Oz0QxOFwoLi4LjRNRbduffHkk1MwbdqtlvuZO/cJOJ12\njBgxAQD2pxHeix9//AkPP/xwWoXJynpZWeeDbOuncZysk5Qyya6GIwsWVIcIsoiFQiGEQiHRvd28\n5olmugGISFiyktWUcIZ33nkHHTp0F8EDMnv2/Iaff/4R1157B0aNuhzFxQ0xbdq1wpvudrvRs2dP\nbN68HmedNQZu9zEA7Bg7tuK+EIe6GmdeH0U314fKYkkWtJKSEtG/pKysTMSxH24uu+xyxGIqgCBs\nNjsGDhybsv3NN19AmzZdUFBQCK/XC103EA6Hccwxx6KwsBjJpI6777424/4Nw8DEiechGIxi0KDR\nePjhR3I+xur6zlBao2wHpIXHVnZAm80mtvPAyTD5Q6l+uq4LwWRGrhZZtRLJ1Dsq2zZ5LZZV7Dpt\nM+/PyjpI4798/a7sxGZlwyIqghwQfr9fOGOyTdL98MMPOPPMnmjWrAs0TUP37qNQUlIP0WgEt9wy\nEtu3b0SXLkPw1FMrccIJrQAk8f33XyAWi2L48LFp+/v447dx6qlnif8ni5zfX4D33puPxo1b7z+e\n9PNau3Ylunc/N+3x8mO34Z13FsHhcOCuu2binnuewvLlC3HddaNgGKlVvTffnIuzz74g5Tvicrlx\n++2P4+GH/4nVq1enrA+2sl7m0juMztMsjKkyR64GHh+ODGrGHfoRjGzro4uglZCSbX30wzrctr5M\nvPXW2+jUyXom6T//+Sfq1DkOxx/fDPF4DNdffz++/HIVtm/fBLvdIQI0OnU6Hd98sxrnnXczACAc\nDmLBggWH8jQyIq+PohnRw/lZyOus/H4/NE077OusNm3ahLfeehOAhtatuyKZNHDJJVelPGfLlu8x\nePDFACi21gu/34/ff9+J0tLfceedj+Obb1ZgzpwnLN4B+PvfJ6OsrAyzZr2JceNuwIIFC/Dbb78d\n7FPLimwHtNvtGe2A5vYGFNFO/eEYhqkc1A4kk9UPSE/uk8WKPHlpJlvcObXpsLL6ZVqLlck6SFUw\nun6XlZUJgVhZ5LAISiWlikdFyNclRVFEsmCmdUMrV65Enz79MHz4DWjV6gyUlf2OG274Oz75ZBlG\nj26Ln3/+HE6nD/fcMwtutxvxeByRSBSvvPIvNGr0h7RKkmEY2L79J5x/frqlz2az4fvvv8SZZw5E\nMlneN0tV4wDKj7msbC/Kyn7HiBHjLM4LsNmAt956GW3bdoDdbkfXrn0wc+Yb2Lr1K1x55SCEwyEA\nSXzyyYcIh/fiiivSq1cNGhyP66//Oy69dCz27t0rjiuT9TKf+wCzMCaHEgurIwcWVAcBKumSPYhs\nfVZpfZqmpUWFV3fjWjNVsfypqooPPvggze6XTAKJhI7Vq5firLMG75/R96Jz52448cRT8cgjN6c8\nv2fPM7Fhwyp07XohXK5iAAr++McJh/VmM1MEfU0JyqhonVWuIQxVgSqKilIHxx9/HOrVa4pjjmko\ntn/++UdIJg306nWO6RzseOWVp1GnzrHo2rUPrrjiZsyf/09s2LAONIACwObNG7B8+ZuYOnUWCguL\nUVJyDHr3HoInnphZ6WM8FH8PipCvjB3QZrMJqwdVuHjwZJjMGIYhUv0URclo9TMMIyWdj8Y42c5n\nvhZkizuXr6fyb1RO9TMfSybrII3zLpcrpUpE55arlZvWRlFYRGlpaVbXgtU1UJ4YMq8buuuuu3DR\nRRfjxhufxnnnjcesWXeiffsBeOqpv+Kee0agZ88BaNCgMTp06Cei3/3+8gnHr75ajW7dBqSt91q+\n/HXY7U507JgeOrFz5zaEwwEMGzZ6/5pkP3TdEE6e1177N/z+umjQ4FiLsyu3UW7Z8hWGDbtMPNq0\naUv8+99LUVq6HRMnDsG+ffswZ86jaNOmfdraLqJr1/4444z+uPbayWnWTLnCRBOZ+d6rmFMU5TGD\nhVXthgVVNUIXW/LeappmWY0ie0JFCXE18Qe1evVqNGnSHHXqlKf0GQZdBGJYv/5zRCIhXHjhWCiK\nE3QqN954PzZv/g4//rhe7KdTp47YvPlzTJvWH4lEBIABwIbrrrvukJ4PDbq0RsocQV9TsVpnRb1Z\nqvt7Y97frl27sHZt+RqoiRMfwNq1y9G9+3kpz3njjTk4/vhWsNnSLzGrVr2LHj0GQFEUDBw4Bu3a\ndcLdd1+1f2CJwTB0TJt2Hf7wh07o2LGreN3554/Ds8/ORiwWq9bzqyrmCHk5qVG+sZCFFV0DePBk\nGGso1c9KMMnPsWrSS7+xTIES2eLOzfZB+bcpr9PKtL9MAkauWimKIgRWNBpFIBDIuf+Uw+FAYWEh\nCgsLRdUr19AJc7LgmDFjMH36g7j55ufQqVNf/PzzRuzYsRlbt36NDz98HlOnzsXkyQ9i+/ZNuOSS\nyfKesG/fLoTDZRgy5BJEoxFEoweuf++88yKaNj3F8hhef/05FBU1FInBZHX3en3Q9QRWrHgTrVqd\nDnnCjUgmk1ixYilsNhu6du2Xsq1u3fp47rlliET24MYbL8bmzV/goouuhqaplvsCyhvKf/nl15gx\nY0baNnkdO5C/9ZIwpzHKn5+maSLtmceG2gMLqmpAtvWRN9aqCS/Z+uhHmCkhriZUQzLxwQcfoH37\nHtINYfnMmMvlxmuvPYvGjVvB70+dATrxxJZo2fK0lCrVjBlTkUj8AL+/CP37T9r/qI45c+bgp59+\nOujnIa+PopjdwxVBXxXkdVZ2u10MrNW9zkr+Tg4ZUp7uWFTUAd27d8W+fbtxwQWpnvmvv/4MPXqk\ne95LS/egtPR3jBp1hXjs7rufQjS6Fy+++DQA4NNPl+Hnn3/ELbdMgzzwNWnSAi1atMErr7xSqWM+\n2BUq8/5p1leuIFo1biZhRd8ztgMyTDpyaqZZMBGZmvRSNdgq0pz2nWkbtSSxSujLNT6dKhlWLge6\nDlBj2IrS5TLhdDpF1Ssej+cVYKSqKiZOvAavv/4GWrY8C61bd0Q0GsVDD10LIAmv144XXvgKXbqc\ni4ULZ8LjKUHbth1S9rFw4RMoKjoW9erVR0FBARwOx35hFcXGjV+iR4/zLN/7f/9birZtz0h73OFw\nwO32YPv2n9Cv3xCEQmFLMbRkyXy0aNHactwuKirBrFlLsGvXFgA2dOnSG6qq7m/Aq6Xty+32oKDg\nONx5513Ytm2b5fGW3++4LPt05QNVHAsLC5FIJFBWViYCjSjZksONage1586xhmG29VF1o7K2vppe\nAbEimUxi2bIP0apVJ6iqCput3NZXPstnw/r1a9Cz50DLH/6f/zwVP/20Edu2bcLjj/8VK1e+gpEj\nb0RJySno0+cq/OEP/QGUD0a9e1unB1bXOZjXR9EsZU0WshVB3z2Px3NQ11lFo1GsW7cONlsBxoy5\nAm+99Tx8vjo47rgTxHP27t2FUKgUQ4em++UXLfo3CgrqoUGDRuIxn8+PCRP+D6+99iSi0TDmzHkI\nf/jDGahXrwHC4dRBdNCgcXj8ces1V4eabAMczT6WlJRAUZQU+6/ZTsJ2QIZJhexwiUTCUjAB2Zv0\nAhBJe1ZhE5mEUbbmvpnEW6b9UeCFuZckIYdWVCZdriLITkhroypb9dq9ezfOOec8vP/+B7DZHPj7\n3+fA7/fj+ecfwXfffYZ27XrimWdWo7i4vDXG0qUv47TT+qXt55NP3kX79r32n5dN9IsqK9uDcLgM\n/fsPtbymbd/+E/r3H2Z5bOvWfQzDSKJfvwHwej1pYiiZTOKHH75A//7DM55f3br1UVh4DJJJHffd\nd6NYVkHtT3T9wN9506aN+Prr5eje/WxMnHiN5fEmk0nhPJIrTKWlpVUSViSMqeJIwpgqreYAJKbm\nwYIqR+giWVpaKhaik4/YbOsrX6iZGmyQa+PXg0Gua6hIhOzcuRMbN36Hdu06we32pNj6tm/fgkgk\niCFDLrbcx4kntsTxx7fCtGmTsGTJbNx22yO44IJLsXnzN0gkVAwefBMAHUAx9u79HS+//HKVj1um\npq+Pqi4Odj+rbt26A3DA622HAQMG4KOPFqNdu9To87feegEFBfVQt+4xaa//+OMlOOWUrmmPDx06\nDvXq1cc990zG5s3fYeLEW1FQUD7wJRIJhEIhxOMxnH56T/z662/46quvqnwu1UFF3x3ZDujz+VKE\nbiY7IP3eyhdnH56ofIY5nMRisUpZ/TIl9+m6nlIFlrdlijvPlNAHZBZvFcWnA8joeDCPZ/K1gvoX\n5drYV14bRVUvmqCxYv369eje/Uy0aNEDqqqhd++x8HoLcOONF2LRogegKH7cf/+LiEajiMdjiMcj\n2L59C0aNSg0gSiQS2LlzGwYONI//NrzzzovweIrx+ecrMXv2P/Hoo/fi0UfvxcyZ0zBjxl3Q9QTa\ntz/d8viWLJmHRo2aw2azw+Fwpomh77/fAFWNYMCA9Jh24vffd2Hfvh24/faH8emnb2HWrEfgdCrw\n+/1wuVyIRmOIRMrDJh566A40b94Gt932ELZt+xVz5sxJ25/ZmWCuMFW0pq0i5IqjqqpCGJPbgYVV\nzSW93s1YQh3Hydeqqip8Pl/ajBQlttDMWr6VKLrYHs6bfZp5o3NZu3Yt2rTpAK/Xl/bcRYtmo27d\n41FQUIhYLGq5vwkTbsU99/wRbdp0wJlnDgAANG16IjZt+hqtWnVCnTrNUVq6F8kkMGHCBIwaNapK\nx08DK1mpKILeaoA7Em9aaQaNYr5DoZCI/84nsXDDhg347rvvoChNMXjwILhcLvzyy2b88Y+pTXc/\n+eR9tGzZIe31lPQ0ceLd4jH5O37zzQ/gttvGoqTkOJx88mkAAKdTgdOpwDDKf3OxWAy9ew/FM888\ni0cfTfe5yxzM30+u3xcSuoqiiDj1QCAgrhEk7OUbuWAwKL7DNDNem+yoDJMPsgU2U6pftia9JGSs\nXkcVG6vodWrGmymhL1NFy2p/NKFa3i7CutqcaYKQQhA8Ho9YSuByueD1eiv9+6eql8vlEhMzwWBQ\nTCICwOuvv46rrroGf/rTNGiainA4hIsvvhaXXNIBiUQQJSX10a5dP3i9XiSTBuJxFQsXPgm3uxCt\nW5+a8n4ffbQIDocbbdt2wL59e/Huuwvx2WcfYNu2bxGJ/A7AhlmzpsDt9kJR3LDZyv9G+/btAQBc\ndNGpcDg8qF//BHTocCYuuGAsmjZtia+//h+6dx8sn9n+McEJTdOwePE81K/fCA6HdTNnAHjhhadR\nUlIPvXsPhmEYmD79FvzhD23Ru/d5UJTydWyqqmHjxm+wadM6PPbYq3A6FVx//d9wxx1/xIABA9Cg\nQYOUz9bqcyAhJPcP9Xq9eU+iK8qB84xGo+J7pOu6WFZC/UuZmgF/Elkgux6V4OW0PvlmzdyvqLbb\n+hKJBKLRaFpIw8svz0e9ek0sX/fZZx9ljFInyspKAQCNGh2wh3Xpcjp++GENAKBbt7EAgigqKrf8\n3XLLLXmfA30e5IfP1svrSKpQWUHrrIqLi/PqZ0Xf9dGjL0H5JaMQQ4cOxdq1H6Hcl94z5flbt/6A\nnj3T108tX/4GbDYnOnVKT3oCgA4dugOww+XyW5yDAx5Peez62WePwPz587Fr166cF2FXN/l8dxwO\nh0gHVBQFkUgk4+fBdkDmaELuOZVJMGVrxEtCJluvKqv1WBRMZN4nhVtYHQu9l3l/2ZIAcw2MkNPl\n8glBoHVdFIBBTeK7deuOq66ahKlTX0HfvqPw3HP3oXnzTrjmmrNQr14xHn98KUpL9+Cyy27av5/y\nibgVK/6L1q27iQQ+smIvWfICXC4fxo/vgXHjTsOiRY/B4zEwevRVsNsV3HTTY3jttW8xf/5avPDC\nai4r+30AACAASURBVMyZ8zGeffZD1KvXAH37XozFi7/FlCkz0LZtW3z22dv405/6YsSITti7dyf6\n9x9qdWZQFBe+/no1Onbssf9+JWJZiVu16l10794fANC37xAMGzYODzxwPbZt2yz25XK58Mwz/8AJ\nJ7TAccediGg0iubN26Bfv+G46abUhOKKJuqcTqdocZLvmjb586OKIwBRmaOKKa0x5IpVzYAFlQV0\nQQwGg+LLK9v66Md0MG19VbG35bNveW2RLELkkIY1a9bivfcWYNKkkYhEIuK1qqpiz56dGDw4c9kd\nAJ5//hEcc8yxWLXqXXEBOOOMzti48TMkk0l07z4KgA2BwGY4nR489dRTOZ2X1efh9XprZC+vw4Hs\n1ff7/cKeYLafWfHRRx9h48ZvATjhchXgmGOOwbvvvoyGDVukJPlt374FqhpD//6D0/axdOkiNGli\nnfwHAGvXrgAA7Nq1Cdu2/ZThHOxo0qQFWrY8GcuWLUM8HheLgs2DysGuUFXHb9zj8aT1F6NeJ/Qe\nVnZAGkhZWDFHErRuykrcABU36ZWFTKa481wa/1IYgFUUeqb9mZMA6XdrGIboZWQYRqXHeLl/Ub4h\nCHStMQwD3bv3wBdfrMPVVz+Bk046DWvXfoC9e3/Fjz9+grPPvhAzZy7H/PkzUFJyPJo0OTHlb7F1\n6/cYPvxykcD3/vtv4Morz8FXX62CYcTRtetZeOaZ5Xj11W8wffoCdO7cD4aho0+fAWnn5Ha7sWfP\nb+jTZyBUNYHOnfvgttsewYsvrsaCBV+gefMWAIAbbhiOKVMmorT095R9xGIR7Nu3HcOGXYaCAj8c\nDqcIwaCxYO/e37Fv3w5cfPFE8bqJE6egVauTccMNo/evzwWCwTJs2LAaf/rT7SJQIxKJ4MIL/4SP\nP/4E77//fsrfoTJVIas1bVW1cFPMfSQSEXZQmmzj8eDww4JKQtd1MVsciUSQTCbT0vqo5ApAiIry\niM/auR6HRAjdxNHaIrMICYfD2L17J5588g3s2/cLxo3rjR07fgEArFz5FpxOF1q2bCWeb/5d/+9/\nK7Fv33Y8/PBLSCR0vPdeeRPfZs1OhK4nsHv3djgcDjRvfhaAXejefQoA4P7776/wHOT0xGQyWas/\nj6qQy8VUURTRywQobzJIawKtuPTSsQBsAOrg3nunAgC+/vp/6NgxtTr15ptzUVzcKK2xIwB8992X\nOP10cxUzKdbhzZv3JJo3PxVNmjTHww//Je31Mr17D8O8efNRVFSEgoICETtL3+PahHndm81mQyAQ\nEPZhOR2QxBVQfuMmpwPyYMrUZsiWXJHVjyY3zchCxixWMsWd0z4zNfel9D4rq1+m+HRzQAVVuWit\nFVWbKHCgssj9iygEIZe1Ov/73//QpUs3/PjjJpx88tno2rUXysoCmDp1LAAHbrxxBm644Z8AgI8/\nfgu9el2Y8vpVq96EzWZHly69sWjRHIwd2xUPPjgBHo8BIInZs5dj4sT70LBhY/Gat976D+rUOd7y\n7/7ZZ8tgsznQuXN3eL0+JBLa/iQ/DUVF5evIWrQ4DXfc8U9s3foVLr64C6ZN+z8hgpYs+S9cLg+a\nNTsJVGUqF0N2RCJhxGIxvPzysygqqoOGDY9Pee/p0+cgmYzj//7vSgDA008/hKKiEnTuXD4+uVyu\n/S4jH8aPvxmTJ1+XV+CEXGHyer2IRCKWjZQrgkQcCVEKMAmHw2LMk8cDHgsOD0e9oKILYCgUEjMI\ndME2p/OQjSwejwNArYzZBsrPhXp8kCj0+Xzwer1pUe/EF198gRNPbIUmTVrg+ec/xLHHHotJk4Zi\n9+7f8NFHi9G48UkAgEz65T//+Rdat26PevUaoGPHvpg//ynx/I4dT8OPP64DAJxzzjUAYti06VsA\nNkyfPj3jOZA10WyzrG2fR3WSq4CU7WfUnNbcz+TFF19EKBQEADRocBLatTsZqqpi795dGDhwRMr+\n1qxZgVatTkt7n0gkhEBgHwYNGpG2DSgfML75Zi2GDBmDyZPvxrffrkqbkZTp3v0crFy5Anv27IHT\n6URBQYGwxgQCASFIDhYHq/olfx4ARAWuMumA3LeEqa3QeFQVq58sZEhQUWUoU6pftua+dC+Qyc1h\ntb9MSYC0D7fbDZ/PJwKDqP9hLr9ZOQShMv2nDMPAI488gmHDLkCbNmfBZnPgrrueRDgcwMSJPRGL\nlWHy5MfRp89FAIBt235AILAXY8Zck7KfN998Hj5fCUaMaIt///sv6NatFxYu3IDOnfugoKA+PJ7y\nqpVh6CAr4Nq1yy0j0YFyx0KjRifuD5xwwOfzw+v17F/PFcEPP6xH58690LPnQPznPytx663/wKef\nvokRI07Hhx8uwUcfvbVfTMmUpwv6/X7YbMDKlUvQoUPXtL+Ny+XBgw++iG++WYWFC+dixYrXMWhQ\naqAGOTp69RqIhg2bYdq0BxCJRCwFdkWQsCLbfa4R+eaqmBxgoigKQqGQsIOysDp8HLV3nnLvKFL4\nVr2j5AqObOsDDu7am4Nh+SNRSI1Ryzuc+yslCj/99FO0bt1BvG7GjIVo2LAhJk8ege+++0rM7FgR\niUSxefNXuPTS8kaAl18+Gb/9tg27d+8AUC6otmz5EgBwwgmnwuksxI4dH2L8+PKkvzfffDPtHMzW\nxJqQnlibkS/QFGJB1pJJkybtf44LF19cXqn68MP/QlE8aNmybcp+duzYih49zk7b/3vvLYTb7cdx\nx1mvwVu16l0kk0mcd95QtG/fFXXq1MfMmQ9kPF6/vxAnn9wZjz32mHiMrDElJSVwu90wDAPhcLja\ne3IdCui7TGlPZM80V+DYDsgcCVCDawBZU/0yrYOVe0cBqWOzeVtl9plNaGUSTdli3M22QYfDIUIm\n8qk2Aen9p6jqJe9j8+bNGDTofLz22vuYMWM5PvlkCfr0GY9Nm77FuHHtEQhsR0lJUwwceBF0XUco\nFMILL/wD9es3R0lJXbGflSvfw9q1yxEO/44+fQZh0aLvcdNNj8DvL8Inn7yHVq1Oh9/vh91uF6EM\nup7Ar79uQ58+Ay2Pf8OGNTjllNT1tA5H+Xiu63EEg6Xo3XvA/ljzJPr2HYqFC79A797nYNq0a/Dt\nt6vRrVt/y0ncclt5Env2bMPw4ZcjHA6lic4TTzwJl112PWbNmopYLITRo69J3xHKv0tXX30Xnnrq\nafzyyy9C/Oe7JkquMAWDwUpF5GeyGdK4XVJSAofDgWAwyMLqMHJUCSqaEYpEIqInDABRjZJtfVT9\nMFdw5HVUteVLarW2CEBOa4s+/viTlMqD3W7HjBmvwDBiCIVKMWDABRlfO2/es/B6fejQofzi2bRp\nc9Stezyee+5BAED79u3x449f75/ZAk4+eQCSyT3weOoCaIhLLrlUXCDkWcrasj6KLIlkZ6nJ3xvZ\nolBQUICHHnoIAFBS0gRACfr2LQ8MWbFiMY4/vlXKa3ft2g5VjaFXr3PS9rtixVto1qxt2uNU6Xnj\njRfRtOnJYn3VqFETsHLl4pQeITKPP/43fPrph3j99cWW50CTBB6PJ21tUnVwsBM4ZZsf2TPNFTj5\n5imTHZCbQjI1nQM34Jl/m9ka8WYSMjabDZqmZRQ5mfZpJbTo95MtPt0qxp0mOQBYNh8GkFO1yQqy\nC/v9frFWJxqNYvjw4ejQoSNOPvlc3HPPInzyyduIRMKoW7chpkwZgrPOGgin04UhQyaI4CKv14vP\nPluGrl0HQ1VVbNu2GRMm9Md9940GoOM//1mD6657IOX8t23bhN69zwdgg81mh8vlhqIo+Prrz6Hr\nCXTpkj7ZahgG9uzZibPPPt/ijGxYtuw1uN0FaNz4hP2x5uUCzW6348Ybp2PKlH8hmdQxf/5sbNr0\nveXf5Y03XoHb7UHbth3g8/mRTCYRDoegqnFQBe3ii6+G2+2D3e6EoqRXPolGjZpg0KAxmDr1Xjgc\njrxFsDhDSQhVJiK/onVbcoCJ3W5HMBgUoo8cDGRTZQ4eR4Wgkm19wWBQlPLNMcRmW18uFZyaSLa1\nRbmQTCbx+eefoU2bVCuXy+XB8OHjAdiwfPn71i8GsGzZorSqxXnnjcLq1eWvqVOnBPXrN8C2bT8A\nAM4++2oAGj74YD46dhwPwzCwY0d5NYsu/DV9fZQcoU+WRLLU0aLZmn5xczqdYg1bIPAbTjqpvFeI\nrifw/fdfoUOHHinPf++9BfD768LrTU/p27z5W3Tt2jfje3377Tr07XtgcB0yZCzsdhvmz38u7bkL\nFjyHN96Yjdtvfxjbt28X3w0rrNYmkYe9pv/9gdSZdnMFjtIazYEcctWKkqCo/UFtOGfm6IFm+ymk\nwWqiMptlj4SMVXIfgIypftn2KQsts30wU++rTOuwsllw5XOtTLUpGzTxUlRUhK+++gpdu/bA22+/\ngzPOGI1hwybB4XBg7txpcDrdePXVB3D99Q+hW7cB0LQ4Ro6cIPbz228/IxQqxahREzB9+s2YMKEr\nHA4V/ftfiJKS41GvXoOU9928eQM0TZVCJ5Kw28sT+FaufB116x4PVY2nJfCtWfMRbDY72rVLt4cD\n5Y6Fpk3bQFFcKCjwQ1EURKMxsZ/vvvsGhYV10Lx5C0yePBRLlvw3bR/Lli1GmzbtAUBMrvl8fui6\nIVIKyyv6EQA6ZszIvl575MirsGzZh1i8eHGaCK6KsPJ6vaLCJDumZCobhCEHmNB4F4vFxL0IC6uD\nS+1TCTlgtvXRl7Kytr5s1Y+DXaHKd/+yJa661hZt2bIFbrcb9eo1TNv27bfr4PcXYc6c6di589e0\nY6eUnVGjJqa8buTI8VBVFZ9+Wi6qOnZsL9ZR1a17LBSlDjZtegNDhlwJwI/Ro0fXimqULMqpuSRZ\nEslS53K5YBhGlS7Eh4J58+YBAAYMuAuGoWPChMlwOJwIBkMoLf0dffsOBs30AcDnn3+EZs1OTttP\nOBxEOBzEOecMsXyfzZu/QywWxeDBBxZB2+129OhxNl5/PbWx4qZNG/Hss/djwoTb0Lv3+ejatR/+\n+9/0wdSMOaqcPOz5xq4figpVtmuP2+22DOSQrSNmOyANqLVFTDJHPiT2KYjCvGZJTuCzGr+od1Sm\n9iRW22ifVla/bEIrm2iyWtslV7oqe62gCSCfzyeqTZUNMNi4cSNGj74El1wyHmVlEfj9DfDnP98P\nVVWxaNGTCAR2Q1HseOKJjzBgwDjMm/cI2rTplRIYsWDBDLjdhbjyyjOxZs1i3H77k3joocVYv/4z\ntGvXA/L1HgDefptCJ9IrgOvWfYzWrU8XqXlyAt8HH7yGBg2aZkx83bTpW3TuTIFHNiGsKMnv008/\nQJs2HXDvvbMwcuQE/POft2DmzNT11lu2rMd5512U8tiBSlz5eq+XXpoNl8uNW2+djiVL5mDDhswN\n40tLS1FWVorp0/8BwzCECC4oKICqqnlVFwlzRL58zwpUXlDJ5yknQ5KwkscBFlbVzxEnqKjEKdv6\naLYpV1tfbYKqcJFIBJqmVSrCvbI/prVr1+Kkk06x3LZp03fo128UjjuuCaZOvT5t+6uvzkVhYQmO\nPTZ17YyiKGjZsgMWLHj6/9k77+goqveNf7aXNAIJLRB6Cwm9BAgQEAHpRUW6YkGUrmIBBRVQpIqg\nVKXLF+kE6YReQ4cQOoFQDaTvZuv8/tjMZDe7oYPll+ecnAO7M3fvzM7ee9/7Pu/zAFCiRDBbt/7O\nvHkTMRqNVKr0MjbbXUBAqw3lxIlTj9TXvwvO918MykWevfP9F59FUUjBWbr8n+Yl8eabbwJw8eI+\nFApfwsLCUKvVnD69B4VCRfHiJUlPz8BsNiEIDknd7EkwG9HRa9BovAgIyBmQO56/lSt/JTCwuJth\n9LvvDuP+/QQuXTonvTZmzGDKlw+lc+e3AWjQ4BWWLVvusf+egpKctWJms/kfe/8fBvFZEumAItUj\njw6Yh38DREEGMRgRVcycf4cZGRnMmzePpk2bU6xYcYKDS+Hr68v69esfKK8uLhY9LUJzM+PNraZK\nFH553KBJZLkolUrpNyYIAlFRUXTu/BoHDhzw+Ntzpl1rtdoHChgIgsDGjRt5443uREa+RIECVRg7\ndh137lxn8OCp+Pj4sGrVb8yfPwpv78IsXhxLqVIhmM2ZXL58hh49hkhtpaWlsGXLMkymNCIiXuaP\nP87SuHE7dDodd+5c56WXOmIwGF1o2MeO7SYkpK5bvwBu3bpOo0YtEYUivL29kcsdCnynTh3OVazC\nYEgnPT2FFi065LwzkpLfzZsXadiwJYIg0Lv3EL744kfWrp3Dt986fLOOHz+M3W6lcePWHj/DUcOm\nJzp6LdWq1aVWrUiqVKnDyJHv5zoejh49hKCgEshkapYtWya97uw7JW7gP6k8unMgBEiK0+Lm7JO0\nJypDipu4YtBnsVjyhIyeMf4zAZUzrU+sl/CUjfIkavBvpvWJWThxN8OR1tY/MCh83GDxyJEjlC4d\n6vGzU1Lu0aTJK3z11XSuXTvNzp1bXI7Zu3cz1at7NnLt1Kk3586dxGy2UK9ePWQyuHr1MOPH96NO\nnTcAGzt3LueNN0YAMtasWfNY/X4RcM5uivf/UYNycTEsKj6lpKSQnp7+yMo/zxOXLl0C4OWXv+bq\n1UOUKlUNh2y6w6A3MDCYuXMn0afPS7RrV4GWLUuQkZHK//43jVGjBpGYeEdqa9++zZIKpCccPbrX\ng5w6FChQiOLFSzN7tqPWLjp6IzdvXmDEiGnSMTVqNCA29gy3bt16rOsTFy0iHfBx7//fmaHyBHHn\n9XHogAaDgeTk5Lzdyjy8cAiC4FI3JWZ9nNkNsbGxNGnyEn/8sZHXXx/BjBmHGTRoLlCArl27U6BA\nAWnDNGfbYuYqJ3Iz44UHS6vnJuWeWx2Wp1orQRBISkrigw/64+tbnh493qRly1bMnTuXxMREt8/M\nKWAglixYrVbi4+OZOnUqVatWp0OHTvj5hfLrryd5/fWPmDz5Q4oUqUytWg0ZMKAtCxd+AcDkyX9K\nmylLl05Bq/WjRg3H3Lx27RK6dAnBas1k9OilfPLJT9I17d+/AblcSf36jSXqnfjd3bx5zYWqLY5b\nV67EYbVaiIho5nxFaDQavLy8SUy8RXh4JCZTJoLgupG1fftqNBovChUq6nZPAOLiTmO3W2jcuHXW\nOJZBnTpNGDduIQcO/Mmnn75DVNT/KFKk2APXdAZDBrduXaJHj/7odFo+/XQSmZkpTJr0tduxly6d\n58KFo3z88XjeemsYw4ePwGg0uhwjUi6dfaeelA3gHAg5K1U+6RgtKkOKkvvOsv0i9TEvsHp6/Psi\nCA8QBIF+/fpJu8zijuyDaH25+S09Kv5Oyp9zds1oNEq7GlqtNlfqw9MgJuYo5cq5B1RHjuxCJlNQ\nvnxFgoJK0qRJG6ZN+0pawBkMRu7evSplE3IiIqIpCoWadevmo9PpKF26LN27f0ZAQCBz5gwB1Bw4\nMIsKFaoABenff8Azv7YngbPcrXN280nvv0KhwMvLCz8/P0mp51mYAD4NmjVrBnhTv/6rWCxp9OzZ\nT3rvyJHd3L59gR07lhEZ+TJTp65i8ODvUSg0tGvXjQsXDtGjR30mTfoKQbBz6VKsJEiSExaLmXv3\n7tKmzWse33/11bc5eXI3gmBnxoxvadiwBQULZk+0arWGWrUauyhBinjUoCTn/RctFJ6UvvEs8KQB\nm/Mi7GF0QGeINJC8CTUPLwIizc9isbgEN+K8l5ycTJcuXTl37hw3b17D17cAfn4B1KnTiPXrL9C3\n71QEQU2pUmVYt26dW9si1S8nfTA3Vb+H1WnJZDK3sT23c3LWWjmzYkaM+IoaNZrRrdsnzJkTQ5s2\nA/nf/zZSsWII9es3pHPnV5k9ezbR0dEcO3aMU6dOERMTw9q1a5k4cSKDBg0hNLQKdevWZ/v2k1y7\ndoPKlZvRrdvH6PU+xMef5cyZw0RGvkaXLhVITDxHqVIhBAdXJzi4VJacuIzNm5dQo0ZLkpLu0a9f\nK37+eTAlSpTGyyvQTbF38+b/ERRUEQf1ToW3txdKpZITJ/Zjt9uoW9edlbBlyzL8/Ap7DE7j4o4j\nCAIRES8hCI4spLNQxN69mx64Abdx4yoKFCiUtWnpCDwASpeuxMSJv3PmzD727FlLnTqRubYBsHz5\nQvR6b8qXD0OhUFKgQAEGDfqGLVuWEBt7yqWOaeLEEZQpU4mSJcsTFlab0qVD+Pnnn93a9JRdfBLf\nKREiVR14aiEMsT3n+i9xneEcWOWxFp4c/4mACuD06dOSyIRzEalz4AEP91v6J8OZVpZTMvx5Zdds\nNhunTp2kbFn32pjduzcQEJBN5Rsw4FssFgN//DEPgC1b1qDRuEpri8GISDkKDQ1ny5blqFQqqlQJ\nY+/epdy8uQmZLAGwYjReY/r0NyhatCEZGRmkp6c/l+t8FDg/T5mZmdJC/FllNz1lGR5nYf+sBkG7\n3c6tW3coXLgxGzb8iEymombNcEwmI/37dyI9PYkWLbqzYsVxPvjga8qXr8KRI7soWrQMffp8xG+/\nRTN48HdERy+jZ89mJCff4+WX3eunBEFgz54NWfLrFT32pXnzzshkAj/9NIaUlNsMGPCt2zF1677E\n6tVrn/q6xfvv5+eHVqt1kY7PSQd83hmqZ4HHpQOKY2Ye8vA8ISrtitT0nPQ6u93Ohx/2p1KlcObN\ni8HbuwgDBzbhxx8HYrfbsdvtNG/eieXLL6PRlKR795506tRJaluk5uXclHxQBio3KXRx194T0yW3\nOixPtVYymYyYmBiiotbTu/eIrHkkkxo1XuLzz39jyZKzFCkSyp9/bmLNmj0MHz6W3r3fo2vX3rz3\n3kB69+7DkiVR5M9fk2HDFjB//lmKFCmP2Wxm5Mg50ueMH98XuVzB77+PomnT9syZc5irV+Po3v1j\nqR9GYyp//XWDQoWK0b17GBkZN5k7dx9ms4kqVdyZAmfPHqFOHWdRKUfQsGfPOvz9i2EymbLGyOwA\n5PjxPZQrV83j9799+0r8/YuiUCg8CkVcuhRL9eoNPJ4LcPLkfipXrp41Bjsk0sV2SpaswNdfz0IQ\nbBLLIjds27aGmjXru1xXs2YdKFcuhO++GyptmN64cZ1Ll44xePAYadzv1etjJk6cRFJSkse2nTe2\nRN+pR5FH9wSxfsrHx+eZCGGAqwiK2WyWsmnOIkb/Ngr8PwH/mYAKsheUYoo0Z+DxLGl9L1I23Tm7\nZrPZnjq7Bo/e/wsXLpA/fwA+Pvnc3ouLO+lSW6VWq+nQoTerVs3BbDaze/dmSpd2SGvnLIpXKpVo\nNBpef70PCQmXMZszSU29yblzq4iMfJvRo09RqJBDovvu3ZOkpBwENLka/T4NHnYvcgayj1Kf9rT9\nEUUH9Ho9JpOJ5ORkjwt7T+c+LQYNctTC9e07ntOn/6RAgZIYDOn07t2E69dPIpMpGDLENbA5f/40\nFStWR5xsW7bszPz5O8nMvA+At7evG7UDYNeujQQHV8q1L3K5nCpV6rB+/W+EhNTA19f9OaxduzH7\n9+8jNTVVeu1pfps5peM9ZXme92//WQZsOQP1zMxMUlJSPO6a/tODxDz8uyGq+om7/zmDG7lczvr1\n6zl27BTvvPM1gYGFmDJlGR9/PJMdO9bQq1co8fHnUSqV6HQ6Vq6MISSkM1u37sDX15ejR49K47Lz\nuC6O4Z4yUFarFbvdnqsUuqfNV/G3k7P/uQlU2O12hg37jK5dh+Hj449G4xApAqTgcvPmpbRvP4RP\nPpnNd9+t56ef9jJ9+gEiIjojkymYNOlP2rZ9hzJlqiKXK1i8+HvatBmIQqHEZMpk1qyxXLhwDD+/\n/EydupUhQ35iwYKx6PWOzJ6IBQu+AwRWrZrEa6/1ZebMPXh5+XPjxhXatevh0u+MjFRSUu7Rtm0X\nt+/yxIm9hITUyfKfkkkMIUEQSEi4Qv36L7k/AMCJE/vdLFhEoQij0UBKyv0s1UDPY+zt21do0sSx\nQZdTBVWr1XLx4gVUKi2xsQf59tuPPbZjMhm5ffsyb7zR1+29b7+dRWLiNaKilqFUKpk69VsKFSpK\nmTIh2O2OcTk4uAz16r3MuHEPXo84B1Yqleqh8uie4CxI8SyFMCCbpijWf4nWLmJgJSoE5uHR8J8I\nqMQf1blz5zh+/Li0A/ssAo+/E55oZS86u3b06FGP2SmAv/66Rc2arjtJvXoNQqGQsWDBdC5fPkWD\nBi0k6XBBECS1O7HGqEqVmqjVXsycOZbt2xeiUBShSZN+yOVyBgyYCmgxm70RhDTAzOzZc5//RWfB\nUyD7sPq0R8GTSOH6+Pi4LOyflZ+SJ8yePQcohMViwmC4S61akbz7bnMUCgvNm7+Gn18hN3WmxMTb\nNGjgLIsuI3/+QKk26sMPO3Lv3j23AfrSpdhcJ14R7dv3BgTeeusTj+97efkQFlabzZs3u733tL+T\n3LI8z/P+w/MJ2HKqA4r1l/+Uur08/Pch0opyq0myWq18/fW3vPvuaBf7hcjIV1i8OIZ8+YIZOLAR\n0dEOUYB165Zw8+YhwPH8vvRSM0qVKkVycrKLYmBuGagHya6LQVNO5UGRHpXznNwEKgRBYNWqVaSl\nmWjevJu0OHZkVxyL2u+/fw+t1p933hnm0ofMTAO//Taa1177lHz5AqTXp08fikKh54MPRnDs2D56\n9qzJihXf4edXkqVL4yhf3hGwbN36P5o27Sadt3r1Qtavn49en4+5c/fx1lsjsrynNqFQqClfPkzy\nzQLYtOl3tFo/Chcu5vZd3rp1ncjIVshkcjQarUS9u3kzHpPJSGRkC7dzxPM8jfkKhYJjx3ahVGoo\nWrQ46ekZWCxmnAOiM2eOYbdbqVu3KY6vxH1837t3CxUrhjF27K/s2xfF9Onjs77L7HZWrVqKVqvz\nuLbJl68A3bv3Y8GCCWRmGjh5chc9ew7CaDQgCNl0uG7dBvDbb/MeaNshwtl3SpRHf9TAypPCO8+o\ntwAAIABJREFUn7MQhslkeuoSAef6L+c5QexnXsbq0fCvD6jsdjtRUVHcvn2bVq1acebMGSkT9TwD\nj+eVoRIzOWJR698tmnHy5ElKlXLPIKSk3MdsNhIR4eotJJfLadOmO+vXL8BkSqdx4zYAaDSaXKmJ\nVao0YOPG3wkLq01wcDUSEhx+VA5KXTBwj7CwdwEBu93K2bNnn/l1OsPZvwtcA9lnhcd9Lp0X9qKs\n6tNws3PDiRMnABkNG77NkSNbAQuHD29GEDKZOzeas2ePUaqU6yR048YVbDYLdeo0dGvv/PmTRES0\nAyx8+WU/ZDJHMbDRaCAx8S4GQxqtWnV+YJ/27NkOQEzMgVyPqVWrCVFR7nVUzwo5szziovB5yt4/\nz00TUX1MfK7T09PdiqzzkIdnCZE1IqqgehpPlyxZgr9/EWrUcKeeabV6xo9fQseOQ/jxx0F061aZ\nWbOGULNmOD/+uIWmTYcA+UhNTSc4OJgRI0ZINO3czH1zC7ScgybngOpBdVi5CVQkJiYyYsRXdO/+\nhbS5K5PJsdkcC9Tr188RE7ONjz76GZPJ7OLZNG7cO+j1BXjrrY+k9jIyUtm8eQkNGnSmV69wxozp\nQqlSpQE5Q4dOkRbAx4/vIiMjlV69BpKUlMj777fgl18GAwIzZuwgKKiU1Obmzb9TqlQ1dDodVqtV\nylTs2RNFqVJV3e7bxYsnsdms1K+fPf/LZI5yi71716PX+yMIMpfaKHiw+Ts4yggKFy6NXu+FTqfF\nbDZnMQMcAdHmzWspUKCQ9J14GiOvXDlNZGQbqlUL55NPfmDdurmsW7eM9HSRYSCwfftaQkNreOwD\nQI8eA/Dz8+O999qiVqt5+eVOUsDooPwbyZ8/kBYtXmXMmLG5tpMTzvLocrncTR7dEx6k8CfK7DsL\nYTxpYJWz/ksUHhHLNPIsNx6O57pCHzVqFHK5HJVKJf117NjxqY8VMX36dMqVK8fXX3+NVqvl1KlT\ndO/e3W1H6d8AMRsiTjhiUe3zyq49akB4/LjngGrPno1oND7o9dm7iOLk9frr7yEINnQ6b/z986NS\nqR4YDPr6+gPw2Wc/Ehpamfj4OOm9+vW7AFYOHvyTcuUcEqgjR4581Mt8ZOSsjxJVdv5p6o/O5q7O\nfkrPSsDi7bffAWS0aPEmBw4sAQRSU+8wffqfaLV6EhKuUKtWhMs50dFr8PYugELhbhh99+5NIiJe\n5qefVhIff5pff52Kt7c3SqWKTZuWo9X64uPjS270DoB9+zYSGFiY7dtz95uqW7cJmzdvlhYiz6vG\nSczyaDQaVCoVFotFUhV9llmrF1WjJQaKvr6+HuWn85CHZwFnVb/c6pjsdjs//jiNjh0/IOd44KDs\nWVCpVPTpM5hixcJISblN6dKVGDRoCsWKVWDgwI+oU6c7Pj4hgIxp06ZRu3btXM14cwu0cgZNznNl\nbnVYuQlU2O12pk79ibS0dL79thdjxvThzp0EiYKoVmsYO/YdypatT506jaQNDqPRwOXLsezfv4Gh\nQ6dJjID09FQGDGiK3W5h27a5BAcHsXDhKby8fAkIKE14eCQ6nQ6bzcavv35D6dK1iYr6nXfeqYPJ\nlEjjxu3Jl6+Ym4Le+fMniIzsIIkgiJYSDgZBc7fvY/PmZfj7B7mN+YLg8CMsUSLErTYKBLZtW4mX\nV340Gp3H5+TcuROEhTnk1BWK7M1kcW106tQBQkLE2ixHDZUz4uMvYTYbaNbMIbnetGk7evYcwKxZ\n33LpUhwmk4m0tHSuXYujQ4deHvsg4osvppCUdJPq1bPrrGQymSTsYTAYaNu2NytWrHhovVZO5DTg\nFeXRPQVWD/Ogcg6EdDodBoPhqTZbnZkMgKQiLdJZMzMz8wKrXOC+AnqGkMlk9OjRgwULFjzTY0Uo\nlUoWL15M3bp1adas2T9q4fuosNlsUkZKpVKh0+mQy+USj/XvhCAInDlzmg8+cA+ojhzZQ+HCJaXj\nrFZblj+FLGsg9CMjI+Ohi0Kr1cquXWuylIeWExZWmdWrtwCOrEVERGe2bBmHTmcgMdHR1saNG5/p\nNYp0J7PZjEql+lf4kIkUAo1G42IkLNYMPkn/rVYrp0+fRq0uzZQpn5GSEgvAV1/NJH/+QAyGdIzG\ndJo2beVy3vHj+wkOruDW3p07CVgsZho0aIJareGTT35g3LiPeemlNpQvH8KxY3sIDi6P1WrBZHIU\neKtUrnSZU6eOYDCkMG7ccvr370xy8n3y5cvv9lkFCxYlf/6CHDp0iHr1PCsKPms4vEx00u5damoq\nSqXShdL6T4Zz0CaqmP3T+5yHfydERT9RYdfTcxYdHY3NBmFh9d0Wa1arDZnM8ZubP38qN2+eYcSI\nOYwfP5S+feszadImfHz8+Pjjjxg8OAF//yCuXdvMjRs3KFGiJLdvu9oq5FTic/0sz0GTGAR5ovrl\nJlCRkJDA/PnzmT59O8eOHWL58um8+WYN8ucvRK1aTSlYsBg3b15l3ry1OOhrguSRNGFCX4KCqqJW\na5kyZThHjmzh7t1zgECtWq344ouZeHn5YjabOXBgIwMGTAeyzYzPnz+OXu/PwoUj6dJlEG+++Rld\nu4YSHu7q7xQfH0dmpoHWrV+XXlMoFGRkJJOZmUHjxq0wGIxoNGopgDp+fA8VK9bk/v27HD9+mEuX\nznL7dgJJSX8RG3sUH58A+vd/FY1Gh7e3HwUKFKJEibLs2bOR4GDPAkR2u53ExDtERrZ0elWGUumY\nky0WC7dvX6FHj75SYJ7zu1u/fjn+/gFotdmeht279+fixViGD3+b+fO3cuTIAeRyOZUr18Zms3rc\nCATQaBybxefPn5W+Z5BJFEfRa7JFizcYNepr5s+f99hrUGeFZtHqQqvVujxjj2rqKwZWKpVKyuyJ\nc1TOrOmjQBAcPm5+fn6YTCbS09MlVoPoyyYyHfLmDQeeawTyOKpRT6Iw1bdvX8LDw6Vdg4yMDODF\nCEY8zWc4e2H9k7MhCQkJKJVq/P0D3N67ciWO8uXDnGhP9qz6KA0yGWRkpGGzmdi69cE0rHnzpiOX\nQ7VqTdi+fTUhISFcvXpWEjBQq7XI5f4IQgrJyQkoFA451VWrVj3VtTkLTYgB1b+x3s55d0qhUEjS\nqk9iVDt58mRAjs2mITHxPGAmODhM2jHcvftPVCo9+fMHupx3/folwsJqubUXHb0OL698qNWOzEeT\nJm2pUqU2I0a8iyDYuXLlHDVrRqDT6dHrvbDbBTIy0l2K1hcvnkWJEmUpVy4UPz9/liyZnWv/a9du\nwp9/bgBerAqfuKubM2v4NMXCL6L//walwjz8+2G32zEajZIYkSeqn9Vq5YsvRnDnzl0OHtyZo2ZJ\nwGq1oFKpuXv3FsuXT+Kdd76gXr2XmDNnG+npBgYMiMRozMDLy4vhw7/g/n0rVav2BuSYzWby5y/A\nnTvZ3nielPjEvubMNIlzfW70wNyMgq1WKz/8MJ5GjToRHFyODh16sHDhPn7+eTdVqrTg8OE9LFo0\nHkGw8/774fToUZk+fWrSp09NunQpy6VLJ0hIOMbw4W05eHA5ISGVqVSpFvnzl2LMmN/x8nJkEBYu\nHI1a7cMrrzisJ2w2G0OHtkEQrBQpUpR58w7TuXN/EhKucv/+XTchhtWrZ5M/f7CbsfqGDYvw9g6k\nUKFCqFQq0tMz2LBhJaNG9Sc+/gIHDqyja9caTJo0iO3bl5CQcAqbLRVBsFC2bDkKFvRHrbZz//5V\nYmI28ttvo7l48TRxcQfp2bMpEyaM4Pz5WOnzzpyJAaBqVfe5BGRcuXIBu91KeHgzjEYDFou7d96R\nI7sJCanudvaXX06jYMGCDBz4Blu2rKZ06fKSp5YzxdIZ8+b9RJEiwSQl3WbVqiVZAUb2eOlQF9Tx\n2mvvsHXrNmJiYjAajU805jv7TolzuNjWowZU2f1yF8J4EoVBm80mbbKJ9V9KpZK0tDRpfZGXsXLF\nc129y2Qyli5dik6no0SJEgwfPvyZHOsJzgHVPxXOi3hRMjY3tbgXqSKYG06dOkWZMq7ZKfEHfu/e\nXcmwV9ytEX/0165dxWYzU7NmBIsXT3Nr1xkbN/5OmzZd6dSpB9evX5akQe/evS4dU7hwKJmZ96lT\npzk2m2Nx3rfv+090TZ6MeMXdoH/z4lLsv0jfEoTHNwqeMuUnwI5eXwiZzFFoO2zYBMTH8PDhaAoV\nKuFyjsPcOcljkfHRo3vc/ES++WYWRmMyU6eOJiMjjSZNHNkuUaHJy8sbhUKO0WjAYDBw5sxBWrZ8\nFYC6dSPZuzf37GTt2o2fax2VMzwFI+LE4+fnh16vx2w2P3FwmxdQ5eG/AFHVLzclPfGYpKQkrl+/\nRlhYDcaPf5ePPupCSkpy1uajGaVShVwu44cfPqJw4WK0a/cWgiDg5eXDzJmbsNkUvPtuOAZDOiVL\nlqRbt66cOBFHUFArHMscHeXKVeDkyZO5KvEBUobfOWgSpdw90QPF+cSTF1VsbCxr1qzl9dcHu7xX\nqFAQQ4eOoVWr11EqtYwbt5HevUfTpEkvqlZ9hapVX8FsNhMUVIWZM/ezfv0dFi06xTvvjCYu7ih9\n+ozEmYK3fv18WrR4C4DNm1fSqVM5Llw4TGjoy0yfvp2AgKLIZDLWrp2Fj08h/PzyuwQQMTE7qFGj\nidu9OHRoC8HBIfz883f06fMSXbpUZtq0oVy8eBCw8+WXM1i37gJRUef4/ffDzJy5mebNX0el0vPd\ndwsYNWo248YtZvr0KBYt2svy5UcAgQEDviEkJJRjx7YxYEAbOnSoztixn7B+/WLy5w9yEzwSsWXL\nWvz9A9Dr9Xh7eyOTyTCbzS7qt7duXaZZM/dSEblcztSpK0hLS+Tkyd00bdpO8tRSKJQYjQaMxuxx\nWhDsnDixh1dffZt27brz66/fYzabPY6XPj75aNOmB8OGffbUXlHOPlFWq5Xk5GTJW/Vx4SkQehyF\nwZy1W+L6QhTWSEtLk4I+q9WaZxDPcw6oPvjgA5KSksjIyGD16tWsXLmSKVOmPPWxnqDX6/+xGSpR\n5MB5Ef8s1OKeBo/S/5MnT1KyZLbsufijuXXrOjablXr1GmXVR7lew44dG/Dzy8+AASO5ezeeixfP\neWx/795oTKZ0evT4kBo16qJUati4cWlWlip756pOnbaAnKCg/KhUWqCki2jEo8CT0MTzMkL+u+HJ\nKFjkVOf2nV+6dIl79+4CekJDqyAIichkCsqVcwTUMhlcvHia8uVdC5TPnz8FQIUKITmb5OrVC4SF\n1XZ5TavV8/bbw/jzz/loNF4EBLhmuxwZNw3e3t6cPx+LxWIkMrIdZrOZ119/l8TE66SmJnu8hooV\nq3Hjxg1u3brl8f0XBVGd0cfH54mD2zzk4b8AZ6uM3Kh+JpOJrVu3EhJSg5EjZ/LTT2tJSblOz541\n2bRpFYIASqWC+PhLxMXtYciQ8UC2R5Svrx9z5mxGJtPSt299MjMNtGzZArlc4MaNuygUFQATkI+I\niEZs2LDB4ybmg8QrgFwNfFUqlds8YjKZGDPmOzp0eJ/8+Qu6fIZcLsdut7Ns2TQ6dBhMxYpVePnl\njvTsOYhBg76hbt16mM1Gvv/+f1lUasdnzpr1OX5+RYmIaCHVJe3atQqj0UDdui/Ru3d9Jk16L6vG\nVcbQodmS3jKZjH37/qROnZZZmRmj9PfXXwm0bdtdOjYjI43Zsydw8WIssbE72LHjdypXDmXy5NWs\nX3+Zpk074ONTkKpVG2Cz2Vw2iw4e3ErhwtliF87Yt28zSqWW1q278vnnU5g/fyeLFu2nbds3OHNm\nD9HRa0hPT+Xo0YMezz9x4oCTTYvDO0+j0aJQyDEYMjh8eB92u43w8KYez/f29qV//68BAUFQSe2o\n1Wq8vb1RKBRZgklGtm7dgCDYaNWqC337fo5SKeenn8bmul47eHA/Bw7sJz4+3sUr6klZCs4+UQBp\naWlP3FbOQOhRhDDAsVngaX3kLKwhCmSJQa34e///Glg914AqMDAQb29v5HI51atXp2/fvmzYsOGp\nj/WEf1qGypPIwb9tEX/s2AlKlqwo/UhsNhsqlYojR3ah1frkOvEcP36AMmUqEhhYhOLFSzN37mSP\nxy1e/AshIdVRqx1+HOXLV2fbtlWEhVXm2rXsgKpatcaADwcPLuGVV94EvAEZ3bp189SsBPE7+KdT\nK58Vcg5gzsp0arUag8GQKxVt8ODBgIyiRWty4MBM9Ho/ChUq6XLMX3/ddvEzAYdghJ9fQbddRbvd\nTmrqfRo2fJmc6NChF2q1Drncc2GyAzJWr15MUFCJLBqEFX//gnh7+7Js2TyPZygUSmrWbMDWrVuf\ne/blUdvPGdymp6c/0kT7d2So8rJVeXiWEKl+ziJLOWGz2bDZbKxbt5769R21M8HBZZg5czNt23Zn\n2rTBjB07EEEQ+OWXbylWrDQhIbWy6EYW1GpV1k68jlmzNmC3K3j//QjMZhOLFy9GpxMQhBTABtwH\nFHTr1o01a9a49ONB8umijLgn019PWTebzcbhw4eJiTlK+/bvudTCiHLxM2cOR6nU89ZbQ1Gr1eh0\njrHQaDQybdowatVqR0BAYcDxuzSZMtmzJ4pevYZLx9tsVubO/Rq5XMHnn7cmIMCPxYtPotHoKFCg\nJEFBwVKf0tNT+Ouvm3Tp0jcrM+MIIDZtWoJSqaN8+crs3r2Z999vTefOFYiK+gWwMXfubpYtO8Fn\nn02jUiWHKt7Ro7soU6Zqlv+UXJpfBUHg0qVYKld23UQTsW/fZqc5xVEbFRgYSK9eg5k5czMKhRp/\nfz+++KI7b77ZglOnjricf/PmRRo0cFYHdFDw1GoNXl5ebNsWRUBAISwWM548DwFOnTqOWq1hzpyx\n3Lhxzemd7I08uVzOypXzqFAhDJnMMY++//7nbN/+B8nJ993aPH78EBcuxNC69RuMHj3GJRgSzeGf\nNBgS1aqd23oaFT/nQEi0YMktsBIpfw/qmyisAZCamirZovx/Daxe6KoyLS2NwMDAhx/4mMeCI6DK\nmbF4nl9kbhmenCawoqlwbpLhj9v+i4LdbufMmTMUKVIC0T9Ko9GgUCg4efIAgYHFcz335s2L1K3r\n2CXq1u0DTp/emyWfmo309DTi48+4yME2b96Ry5fjCAkJ4dq1bKU/jUaHQpGfW7fiqFmzGY4dOz+2\nb4/2+PnONWovwoj3nwRP1+es2qPT6TwaBW/ZsgUAudyCINjw8vKhYsVsLvu9e3ewWs3Urx/p0vbp\n04cJDnal9QHExR0HZFSo4Nm0V63WYDQmEh9/OddrOXFiD02atEGhUEp1VtWqhbNzZ5RLnZUzqldv\nyMaNm3Jt8++CGNz6+fnl+h04I4/yl4d/OzIzMyWqnyd6nSjmIJPJ2LlzB7VrO2hnjrnPTq9eQ/nu\nu4WcORNN796NOH06ml69HPOFxWJBoVAgl2cv+PR6L2bM2EBGhpFhw9owcmQfjMajQDphYa8C+RD9\nqvr06cNPP/0knSsa+HoKmjyNM7kFYCLFcfDgIbRt+67kpeWczTIY0ti06Xd69x7p5EklR6PRcPDg\nnyQlJdKv3zcuC+fZs0eg0+XnlVccwhHHjh2gf/+W3L59laJFSzJx4gbGjVtDgQKF2b9/Iy+/7LrZ\nGBU1Fy+vApQoUUZ6Ta1Ws3v3alQqHR07hjB27Ft4eysYP34FrVv3wM+vKMWKlXa79uvXLxMe3lSa\nV8QsSkZGBvfv36FhQ8+S6HFxJwgJqZnjVRkqlRqjMRWbzcKECUuZNWsTAQH+fPJJFwYP7s79+4nc\nuBGPxZJJZGRrl3udXecmJzY2hipV6iAIAhkZGW6S7QBHj+4mMrINZctWZOjQnh4CL0fm68qV03Tu\n/BYZGRmYTJk0b96JwMBCjB//hdt1TZ78JVWq1OG9975g585dnDlzBsiWNBdNc59EjVesnxLb0uv1\nTy2PnjMQyk1h8EFy7TnbE+u/BEFw2bT9/xZYPdeAatiwYRw5cgSTycShQ4eYMWMG3bs7UssvvfQS\n06dPf6RjHwU5RSleNDzV5vyTRQ48BWzOWbXExETu3LlNyZLl3ILBq1cvUKaMO8ULIDk5CbPZQKNG\nrwDQqNEraDRaliyZ43Lc8uUL8PLypmLFbApZ06Ytsdvt3Lp1CaMxnbS0JOm9okVDsNvN3LoVS506\nr+CYHGUuO405pefF7yBPhcYBZwELZ6NgcWEhkylISDhIwYI1uH//rsvEuGvXenQ6Xze52+vXL7vR\n+sAhq+8pcwVk+ZykUKhQMaZO/dpjX2/cuIbBkELHjm9Jr8nlcrp2fZ+7d+OxWMyS6bUzja5mzYZs\n2rRJ8oR5XnjSYCS378DhtfJi6YB5Gao8PC+IYkW5GfhCtjDEoUOHKF68DPnyFch6RyaJVIWG1mbh\nwt2YzckIgp3AwOJZVD87SqW79LpWq2PSpJVcu3aeixf38fPP22nTZgh2ewBffnkItboo4Aiahg8f\nzkcffSQFTTmDPmf1vpzzZW4CFWazmS1btnD16jV++200Q4e24uzZw1JQplQqmTRpED4+hWnfvodb\n/2fPHkm9eq9SqFBhBMGO0WjAZMpky5altG37Pr/+Op6uXasyYkQ77t69QIECZZkxYxcVK1bHZDJx\n+HA0RmM6Xbq859Lu7t1rqVo1u07qypULfPJJD06fPojNlknbtt1Ytuw0o0YtpHz5asTE7HDZUBOR\nnJxIZmYGzZq1lV4Ta3WuXTuHIED58qEu5sAiEhNvExHhzlgA2LZtDXp9PgIDAylcOIhRo2YxYcJS\n7t9PoHv3Bvzww+f4+OST2CyO7wdEOqQg2Ll79xrNm3dCq9Wh1+udJNsdgZXJZCQxMYH27XsybtwC\njMZkvv/evVY/Kmo5KpWKiIgWeHl5IQiOYHHQoNGcPr2PS5eySxhiYvZy585lPvlkAlqtns6d32HM\nmO9c7o2zaa7RaHwsSXNnQYpnLY/uHAg5aqFTpJoo8e9xkgBiJk0U1nDOzFksFsxms0TT/a/iuQZU\nVquVzp074+/vz5tvvsno0aN55RXHQvvy5cvcu3fvkY59FHh7e7tkqF5Ehsc5APFUm/NvWaCID7zR\naJQmimvXrhEcXFpSaHPGvXt3qF69rse2du7cjFarR6/3ll6LiGjBli0rXI7bsSPKzc9ILpdTrFgF\noqIWUq5cBZcsVcWKdQBvDhxYQLt27wE+AHz++RfY7XapPkoQBHQ6neTn8W/5Dl40nI2CP//8cwAE\nwYpeX4D69Rtl1cg1yXpd4PjxvRQu7LpbabfbSUtLpkEDd0GK2NgjHjNXAEeO7EKhUDFy5DSuXDnF\nxYtxbsesWbMUf/8AvLy8XV4vW7YyGo2WLVvW4u3tjUqlkiRdb9y4zoABXUhPTycmJuaJ7suLhPN3\nIJfLSUtLk3Yen7QQ+VHhaTMl77eSh2cBZ88pT0p6gCQMoVar2bx5MzVqNHI7RqVSIpOBXu+DWu2F\nr28+PvqoIzt3bvLINhBVx2bOHINarcVuh7VrZ9O9e1fS0m5z8uROhg/fiVqdH9ACOmbPns3bb7/t\nMegzm83I5XJpQ87Zi8pTrZXNZsNgMPD116P54os5fPfdWkwmBUOHtqNr11CmT/+EmJjt7N+/kQ8+\n+N7terduXUpy8j2GDPkeuVyBRqPl3r07DBvWCYvFyNKlo/nzz58JD2/MkiVnsdttvP76AEAManQs\nX/4jxYtXBWRSEGexmLh9+yqdOvVh796t9OnTlPffj+D2bUcmZenSY7zzzgh8fPzw8vJGEARu3LiS\nRa8TcvRxOTpdvizvQFfs2LEWP7/CeHl5YbPZnPynHKrANpuN2rUbuJ0HjjmhRImKiNQ7Ly9vypUL\n5eef19Gz50Di4g6RmWni/v2/pHOcx6wjR/Yjk0GVKo51iVyuyFoH6LP6ksH69SvRaDSULevwyPry\ny6ns3LmKAwd2ufRl48blVK5cI+u+yrNq3r2oWLEKZcpU5LvvPpbuy88/j6VKlToEBhYBoHXrbuzY\nsYO4ONc5zTkY0mg0khLswzbRPCn8iW35+fk9Vlu5QRTCcFYYNBgMkgfbk7YnCmuINEVRQVP8938x\nsHquAdWkSZO4evUqBoOB2NhY3nore7f5ypUrfPXVV4907KPgRdZQCYIg8afFAORZ1+a8qIDQWTpc\npMapVCrOnj1LiRLl3M4xGNIxmzMJD3efAAGOHNlLkSKudMBevQaSnHxbEqdISUnir7/i6dLFXamv\nUaNXiI09RmhoJa5fz94JqlmzCeDFxYt7syZpFeBLQsJ1kpKSpN0W0dk+D4+G+/fvZw3E4j0rhsl0\nBx+fABQK56zkOYlDLyIu7hggo0wZdw+q69evULVqHY+fuWfPJgIDi1GiRDlKlSrPlCmj3I45dGgH\nVap45uJXqlSFbdvWAg5ahZeXFwqFnEGDXketltOy5Wvs2LHjH5mh8gTnWjeNRiNJTL8IKdq8ICoP\nzxpi3ZSnrA+4G+dGR++katVs7zir1bHjLma379y5xf37N5gy5Q9atXqdSZMGsGnTarc2HX5MOzh+\nfCvjxi1mxIiZbNr0Oxs3LmLw4EFs27aQ1NR7DB26Meu51wBlWLlyFQMHDnRpT/SHFAMtcT7Ozb9K\nfH3JkiX4+RWibt3mVK1al+nTo5g//zhNmvTixImjfPVVVwTBzpw5o/jooy6MH/8xM2eOZe7c8Uyb\nNgw/v6KMGvUOvXrVpW3bIN57rxbnzx+kcOEKfP/9ahYsOE3//pPYuvV3ZDIVbdp0zeqHDLvdxunT\nB+nQ4V2USmWW6ISBqKh5gJxvvnmLb7/tQWBgPubM2UO9eq+QL1+Qy+anTCbj5s3LWK0W6tVr6mLK\nC3Do0LZcfaROnTpEyZIhkveR6NGXnp7O1q0r8fUNzNXz6erV81StGu7SDwed0JtOnfqgVnuhVivp\n0SOS7dvF2vpsY9+tW6MoVKio29wvenrpdDp27txIiRJlsVgc11O7dmMiI1szduwQTCbfvMOoAAAg\nAElEQVQj4MisxsfH8uqrb7u04wgu5Hz22UQSEuLYtWs7sbEnuHHjPIMGjZaO0+m8aN++N2PHfocn\nOEuaq9Xqh0qaP0gy/XHbehhyBkLiRvWTzkFiLZmPjw9ms9lls9BkMkn//i/hP7PyfBEZKmdKmc1m\nQyaTSQHIv2lhIkrAig+0J2rc6dOnKV7cPaA6eHA7KpUOb28fj21fvhxLSIjrwjt//kCCgkqyYIFD\nQn358oV4e/tRokRZt/Pbtn0NozGdgAA/rl8/K73u5xeIXO5PevpfGI1phITUA/wBOb/88stT1Ue9\niOBV3JH9p6F58+aAHrBTsGBFChYsxtWrsRQrVp709AyJp33//l+Ehzd2OffAga34+rrXOdrtdtLT\nU2jYsJnHz4yNPUqFCg63+379vuTChWMuBcI2m43bty/TuvUbHs9v3borV6+edvnOPv30XcDCzJlR\n1K4dyebNWyXzweeB5/G8ONe6KRQK7HY7ycnJkkv9s0ReRioPzwPOvjS5Uf1EOq5SqeT+/ftcvXqF\ncuUc6m3iRqXjPMdv7I8/5pEvXwABAYV5661P6NbtA6ZPH8bKlQulNkUa4LRpn9OkSXvKlw+jXr3G\n9Oz5GfPmjcVovEv37t2YP/9bTCYbffv+AaQBmUBJFi1awpgxYwBX09+ci9nc/KssFgvJycmMHz+R\nt9/+Rrpuq9WKt7cv/fp9wejRvwEyevceSe3aEcjlGZw7t5s9e34nKuonTCYD3t4aZLIM6tSJ4LPP\nZtC//wTkchUzZ+6gSpX6qNVqzGYzq1fPJDy8g6SwK5PBjh0rEAQZzZt3RKGQY7NZmDbta2bPHgVA\neHhjVqw4x7hxKyhevCyHD28jLMyVJQKwceNi/P2D8PX1y8rwWElPz8BiMXP5chw1azb0+N3fvHmV\nmjWz23MOrE6ccJi/O4LlnKbNVlJTk2jWrI1bmzKZDIvFhNmczvTpa2nZsjM//DCI8eO/chnDzpw5\n7JF67tyXK1fO0LhxK8n01mq1MGzYD2i1Kr780hFQ//nnSlQqFbVquV+jIAgUK1aKmjUbMGPGaGbN\nGk+JEmUoWDDI5Zratu3Jli1buHjxYq79eVRJ80fxoHpaefScUCqVqNVq6Vl7GlENsT1fX1+8vLyk\nwMpisWCz2TCZTJhMpv9MYPWfCaj0ev1jyWg/DnJKbut0OrRaB5f337IocaYnGo1Gidubm+rgqVNn\nKFnSnbJ14sRB/P0Le/wMxwLQwZPO+ePr0KEXJ07sxm63s3//1lyzF97ePvj7F+Hs2b0kJFyWdisF\nAQICiiGTaYiJWUbt2s1wBAICc+b8+ng34wVB9OwSlR6dU/P/lHR3bGwccrmDuhIc3JTIyMYkJFym\nRo0IdDotNpuVO3cSsNmsbjTP2NgjFCvmHhQfP74XuVzpUgDtjNu3b1K/vkO0pHz5UIoVK8GPP34r\nvb9z52YUCoXLjqUzIiJaIAh29u3bAcDu3ds4f/4QkycvQ6v1olathpw5cxqDwUB6evpTFfA+CM/r\nt5/TU0yUpn2Y9P3jIC+gysOzhjPVT6TK5YS4kScGW3v37qVy5RqoVGoEwRGYOKw45Njtjuf88OFt\n1KwZIb3XrduHvPPOJ/z66yjWrFkiqYr98cdv2GyZDBqUnR3o1Kkndeq0YtSo3jRoUJfExJtMnvw+\n0dFbadp0BHALb+9CQFHGjRvPypUrpZoU5/7LZLJc/atEKtP48ROpV68VZcqESffDbM7OZn3/fV9K\nl67LG28MZMCAiYwfH8WcOQdZuPAUarWOxo17Mnv2AcaPj6J//wk0aNCG33+fSHh4J9RqjRSE3rhx\nnnv3btOz5xAyMzOlhfPKlb8QEtKI+PiLfPppL7p0qcjBgysBgaFDZ9C37xgUChWCYM+qVY6nVavX\n3b6jY8f2UKmSIzjJzvBoychIIy0ticjIVm7npKTcJzPTQESEO/1boVBw40Y8NWs2lOrMbTYrYhBy\n8OA2FAo1xYuX9Phcbd++Aa1WT5EixejffxRffDGV6Og/+PjjtzCZMhEEO3/9dZ3mzTt5PB/g+vV4\nTKZ0WrV6Q2ITmUwmjEYjX389g5Mnd7Njx2Y2bVrlUtftDEGwI5fLGDZsPElJNzh79gBvvz0Mi8Ui\nBWjg8EZr06YH48b94LEdZzxM0vxxTH2fVB7dE0RFZzEQelJRDWc4C2tkZmZKNiJiYPVfyFj9ZwKq\nZ52hclaK+zskt59V1sS5PspZdfBh9UXHjx9HqdS6vX7lylmKF3dfRAOcPXsSgAoV3Aekli1fQxDs\nbNkSxe3bl118L3KiatX6HDu2j0KFimTRD6yYzWZKlKiETObH6dN/UrZsVUAF+HD/fiLJyZ69if4O\niPdcnIDFey7yp0U619Ps+jwLLFiwAAdVJB2lMj/nz5+kfv16pKUl0aRJS0ld7+DBreh0fpjNZkkW\nFRy0vkqVqrm1e+BANPnyFfL4mXfu3JDUAh3XLqNPn485eXI3BoODsrtt2zqKF3dXlxIhl8spXrwU\nGzYsRxAEJk/+jMaNW0vnaLV6ypcP5fDhwxLP3Gg0kpKS8lQUBme8CFl2cCxG9Ho9+fLly1IIM0jy\ntP+WADEP/z8g+k09jOrnPIfu379fEj+wWMySTLQ4/xkMBhITr9OuXQ/pPYAOHd6kT5+PmD37S6Ki\n/odCIWf16hl06NBbCoTsdgGr1cJHH42hYMGSDB3amkWLFgB2zp3bxY4dG/Hzq0F6+mHCw3sDAbz5\n5lucOXPGo3y6SIv3RPU7e/YsK1euokePz6X3xGyWQqHg6NFo4uPP8dln08mJDRvmkZ6eysCB37q8\nHhOzjfv37zJgwDcur8+Z8xXFi1ejWLESKBSKLDntJC5fjuXq1ZN8+GEjkpOv8OWXv9Kv3xgUCjX1\n6kVK0uwZGRlER69CLldSo0Y9cuLmzas0buwaNCkUSo4ciUal0hEQUMhNRCc6eg1arQ8+Pn5u7WVm\nGjAY0mjWrDVeXl6o1WqMxsys4NvKnj0bKFgw2O08EQcP7qRYsZKAY+xv1Kgls2b9SWLiVXr0aMaW\nLeuRyWRUruwuoiFi3bql+PsXQK/3QpRsF/tSvHhZXnqpHRMnfsqVK6c8ioVkZ6Bk+PnlJyioLCCj\nbt2m6PV6KUATg8V27Xqzdu06rl69mmufnPEgSfPHXW8+rjy6Jzh/bk5RDTHD9KTS7c7CGkajUXqW\n/guB1X8moPIkm/4kcK4rslgsuUpu/92y5g+DuGvmXB/1qKqDiYmJZGRkMGLEm4wf/6XLw33nzo1c\nd3D27YvGz8/f4wAgl8sJCanOvHkTUCgUD0zPt2//Bnfv3qBMmZJcveqg/anVKqpXj8Ru13DrluO1\ngIDCKBSBgJwff/zxYbfkuSPnsyPKnYr3XKR0abValEolZrP5gdLZzxuDBg0GfAE7Vat2wt/fn5s3\nz2ftFmYHNGfOHKJw4VJ4eXkhk5FlfmggNfW+Gw0QHLVVwcHudFGA6Oh1eHnlcxE7adCgOd7ePsye\n7TDyPnfuOHXquLfrjIiIFsTGHmLJktmYzRl89JHrbmBYWLhURyXS6Ly8vCRqjriT/k9GzvFGq9Xi\n6+uLXq93uY4neXY8BYR5AVUenhQWi0Xacc7NIsRT5mf//oNUrFhNovqpVKLQg4Pyt3HjKrRaHcWK\nlXF6z4FOnfrQvXt/Zs0awdSpX2O1mujRY4j0vtVqyVLikzNhwhLS0tL58cfBfPfd9/j4+FKnTjNS\nUgTAhwMHJtCnzwLAj8aNI3O1YMmZdbNarVgsFrp374Wvb4BU0+NQDrRK49yECQOpWbMtxYu7m97+\n+utomjTp4VLLBDBr1nBCQ5s6qR+C2ZzJ6dMH6NFjKDIZ3Lp1nYkTP6Fbt1BAoFKlKsydu5dZs/ZQ\nr15L1q+fR6lS1aUAV6VSodPp2LZtGUFBFd2kxS9ePInVavXoH7hnzwaKFCkrbSyLrB2H71Y0QUHl\nPI4he/duQqXSUbBgEUSZdG9vryyD4UxiY49JFHBPuHjxpBtbISioBLNnb8THR8ekSR+RP38gdruN\nnHRCETExuwgNzRlwZfdlwIBvUChkCIJNsnxxht0uuCjWJibeAeysWLGQnAGa0ZiJUqmiRYvXmDBh\nYq7X5QnOkubiM/ek64NHlUf3hJweVM6BkFarJSMj46kUBnOKdIhsErHm7lmyMV4k/lMBlbMoxeMG\nPCKtz1n2XK/X/+2S24/7QDnTE+12u8RhznkdD7o/cXFxVK5clZEjf2Hv3jW89157MjMdRZvp6anU\nquVZqefs2eMEB3umeQG88cb7pKb+RcmSnhfbothHcHAZVCodgpDEnTsXpb6XKFEJ0GGxmLh16yyl\nSoWi0Tj4y7NmzfHY5ouAuEspTi7is5ObSo5M5vC6EAs2RYnRp13kP07WxGw2YzRmIpM5aAoqlS8N\nG0awb98mAgJcRUXi4y9QrlxYlleKFm9vbxISrmC3C5QsWV4q8hVx8+Y1QkNz+o04cPz4/qzdPVe0\na9eDbduWYzBkkJaWmGv9lIj27XuQkZHEsmW/0LLla26KW1Wq1GXXrj3S/0WKq4+Pj4tfhrgIfFz8\nXcbBnq4jJSXlsa8jj/KXh2cFMZPkXBuVE+IGn3Pmx2QyERt7mnLlqkh0PvGRFOenffu2ULJkOZf3\nsj8XOnZ8i/btexIdvYRKlapLny0GaA7xIhne3t6MGTOfmJhozp3bQ8eO7blx4zzvv/8tOl1hwMSv\nv7anXLkmgJqiRYtKQZVYc5xzPBdrqufOdXg8padb6No1lI8/bsuZM4clmt7Klb+QmprMp59Ocbsv\nK1ZMw2g00r+/axbq4sUTXL9+kQEDXMUNFi0ah0rlxenTMXTrVoO+fcO5dOkAarWKiIjXGT78V/Ll\nK5zFfrBz/vwJXnrpVRQKcf539P/cueOEh7fIocYnsGHDEgoUKOZRPOL8+ZOEhTlo36JCqSMoMnLx\n4hlCQz3T+Pfv3+JmEu8czCQm3qZmzQiPgYNjbrxLs2YdXV4XBFCrdcyZsxmFQsW9e39x9uwpNzqh\n41g7t25doUWLzh77B47NqqCgsgiCnf37d7n1xXm8PHBgF5mZabRs+RoLF05x8rJyDRZbtHiDZcuW\nkZCQkMvn5g65XC4JbOWUNH+StnKTR/cEUYHvQZ6WzgqDTyOEkVNYw+EfZpZKVMR6zH9LYPWfCqge\nN0PlXFck0vqcZc8ftY3ngcdZ7Hi6jqdRvIuLi6N48bLUrt2YefO2k5GRyLvvtiEu7gSCAGXLepbD\nvnHjstMukPt9qVYtHJCTP7/rgl3sv4MyYkWpVFCmTBjXr5/h2jWH0l9CwlmmTesKXADs/PLL6+j1\nCgyGVEBPWppjUfkiIargZGRkuMm1PyrEielZLPIfByNHjgRAENJRqfw4d+4IjRs3JC7uaBadMhtJ\nSYnUru1cpCsjJiYaLy9/dDpt1u60w0jRbreRnp5C/fpN8ISrV88TFlYr67ORFklvvNEPiyWTSZNG\nodHoKFQo6IH99/PLj17vg8mUwXvvfe72ftmyocTHx7tYM4gQ/TLEIt7nWWf1PCFeh5+fn3Qdj1pA\nnBdQ5eFZQaT6AR7FgXKq+onYv38/RmMmP/zwhWSsK0Iul2G3C1y5corw8GYuBr4iLBYHpa5Nm14A\nnDlzjISEeJdaLJksOzirVCmMbt0+Zv7876hdOxSj8SIzZrRBrU4lX74ygIkLF9YCDhP6woULk5aW\nRmZmpkeKvNls5vz580ye/COffz6XRYsOM2rUCtLSLHz6aQe6dw9j4sT+/PrrGDp2HIK3t6vUuN1u\nZ9Gi8bRs+S5arau/308/DaVUqdoUL14Ku93OwYM7GD16AH/8MQ2TKYVduxZTt24kCxYcZ+LE9WRm\nGujVa4jERAGHaJDVaqVVq9ecAlVISvqL9PRk2rZ9A7Vag1ary/IGzODYsd1UquRuiWK327l37w5N\nmrR2eV2lUqHX60lJuUfdupFS3bAzzp8/RaVKnjfYbty4itVqITKyOQqFHIMhw4XOfOjQbhQKBaVL\nuyoLiuOXTAZ2u41Spcry6ae9uHz5ggudEByS6iDkKqYh4vr1CxQpUoIpU4ZnbRKIfbEjCHbpHi5a\n9AsVKoTx4YcjsVqNLFw4I0dLjsCqWLFgIiPbMX78hCcSibDb7R4lzZ+U7v2obYmf+6D5wTkQUqlU\nksLgk24IOzMwRP83MSkgZoH/DfjPBFSPU0PlTM1yrivKjargCf+ExYhznVfO63ia/sXGniUoyEH5\nypevAHPnbsZuz2T48Lfx8srn8R45lN3u06DBy4i7YDlx584twE58/Hmn/jsCKbEIUqNRo1QqadSo\nJTduXCEjI42YmCh+/vlVZDILQUGRqFTB2Gwmdu2aACQSGBgKyJg6deoTX/PjwGazSd5jotLj08q1\nOy+OFQqFNEA9r92ZyZN/BBwTX2BgRXQ6LcHBwdy5c8MlA3nv3h2sVjN16riqQZ06dYgiRUqiVKrQ\n672yJHLtHDu2H5BRqpR7FtIhWnLPY+GyWq2mWrVw9uxZm2sG0709GTqdt4vZowilUknlytXZvXt3\nrueLg7ifnx9arZbMzExp9+5htIi/K0PlCeJupp+fHzqdDpPJ9FAqqadn6p8wpuXh3wVxLBQXUp6e\nIVGER6VyNeI9d+4coaG1OHfuAL16NSQqarnTuzLu3r1NZmYaLVpkBwTOnytmoBYt+oUCBQpToUII\ngwe/SlLSPZd6K5nMsXljtwt07NiDihXDGTiwJcnJsRQpEk6VKu8wZMhGSpVqg2MjsBxyuSMoCQoK\nIjU1FaVS6fKbsVqtpKWl8d57/ejd+yuCghzMjFq1Ipg8eQ2//36ORo16EB29CpvNxNq1P9KvXwST\nJn1IVNRczp07wuzZw7HbZfTr9yUAmZlGLl8+x4oVczl//jg2m5WuXavRpk1hvvmmC6dObQRg1qxD\nLF0ax6BBkwkMDGLhwu/w9y8m0QllMjlqtZqoqLkEBVXGahUtGBx9X7fuN7y9AwkIKCTdH5GKfvv2\nderXb+amxnf8+F5kMjmhodXdvt/jx/chkymoVq0WMplMqjsX75fD0Nd9zAfYtm013t4FslTlHDLp\nMpmMjIx0TCYTu3ZtljyeXOGQTD9x4giCIDB9+hrq1GnIp5/25MaNaxKd0Gg0sGHDKooUKf7A+Tku\n7hRms5Hp01dgtWby88/fSxT3jIwMKftqNpu4ePE4PXp8iFqtpn37HixfPtMpS+UMGW3adGfOnDkk\nJSVJIhGPGnQ41zE5S5pbLJanUt57WFs56X4PQk6FQXFD+EkDK3HeE4U10tLSnpvY3PPAfzag8gQx\nRe9M63vUuqK/A7kFhc7y7aLq0LO8jtjYsy6S5nq9N9Onr8FsNmK3e/6hnTx5FLlc7lEZUITIh79z\n5yr379+Tdn/Uag0ajcZlV6RFi3aYTEYKFNCyYsUwwsO70L//CmrUaI3NpkcQ7PTuPRu4idGYBsCE\nCROe+tpzg5hFEycLMQB61iIlzp5EYgo8NTX1mQpYZGZmIgZTCoUGna4gDRtGkJGRhslkICIiW+58\n//7NaDTebgbP169fkqSOHe04JHKPHduDr29AVp2V0WVgjYs7AcioVCkMT3jvvc8QBDvVqrkXSufE\n9etXyMxMxWBIz2Uyg8qV67B9e/RD23Lmc3t7e0sUzOchV/6oeJKAzfk6nKmkOQvInY/39O885OFR\n4KzqB57nK3Gu8iShfuTIURo0aMnChbtp164bM2aMoH//10lPd4znO3duxMvLB19fV6GDnBmoQ4e2\n0rRpO8aNW4iXl5ahQ7u6UNYc/XIoASqVSnQ6bwTBToUK1Zg4cSa7d69h5Mju1KzZFY2mKBCP3V4J\ncCzky5cvL5nGi9dtNBoZNGgIJUpU4f/YO+/4KKq3i3+3bza90SEQIEAABYRIlya9SW8qRUUQ608B\nC72JIKCgVBEMiKg06dKlBgIJLZACJBASCCGElE22v39MZrKbXXpR3g/nH2Vn5u6d2cm997nPec5p\n0+Z16XODwYBKpcLHx4+mTVthtVqYMGED77wzmxIlXuDUqZP89NM0PvqoLevXL8ZozKJjx+K0a+fP\na6+VZsSIxixZMhK5XI2Hh5LmzTvx7beb2bw5DT+/4lSv3pyyZR1p9QcPbqFFi94On1ksZmJijtGy\nZQ+0Wm1B4CusFw4f3ka1avWlZyPWq50/fxyr1UqTJq8WUeODvXvXExBQzuU4sX//Jvz9S0vHhEBE\nRm5uLvHxZ+5q6BsdfYigoEIfQ3v/KZvNxtmzkVSpUpOijBdxfNy1azOBgSWQy+WMHz+fl15qwCef\n9CYl5QoeHu4oFErOnDnKiy++XFBj5Rpr166gePHSuLt78vHHk9i58w+Sk6+g0Whxd3cvEDgxs3Ll\nErRaLfXqCTW+Q4Z8BlhYutT1Zu7Chd9isVhZtmy5JBJxv+p7rgQpRG8nd3f3AjGS2w/NrHDVlsFg\nwGw2P7QQxqMqDFosFqnEQxTWUCgUz4y36LPRy/uAqLIiQhzc7elwYsBlT+t7lIXE0xamsK+PsqeY\nPUyd1936HhcXS7lyjnUuPj7++PsXIy8vnbVrf3W6JiJiH97efnf8PpvNxtGj/1C1ai3c3T1Zu3Yl\nGo22ICvo3Het1g1f31IkJx/Bz688nTuPQSaD0NCGBT4lSoxGPRUrdiQn5zxgk8zoHieKqiSKFIdH\nzQLeC/YpdTHr8LhU6saPHw+Al1dJLBYjV64k07hxIw4c2IJa7Y6Xl490bnT0IQICyjrtEGdkpFOn\njrOs+blzUZQpU0ky2xX+7gRJ2f37t+DjU9yuuNcxaBB3IlNT0+55D4sWzaZkybIoFHJJPr0oXnjh\n5fsKqOxhT8G8k1y5+N8n9fs/jjFFvA9vb2/kcjnZ2dkOtMaiAduzRHV8jv8GjEajpFgqzqdF607E\nAMPVjveJEyeoVKk6CoWCIUNGsnjxdrKzrzFgQGMOH95HdPQhp3kIHNUAk5Iuoddn0qPHEBQKBTNn\n/kpW1jXGjh1ud4VAH7TZrOzcuYmoqJ18+OHXxMREcujQZubN+x7I488/v0GtDgVAoUhFp6sKlADk\nlC1bVqrRNhgMDBjwOocORTBs2Ezp70jctFAqlZjNZsaP70/duq8RFvYKHTr0Zty4BSxbdoh16y7S\noEFbPD1L8ccfifzyy2lWr77Axo3p/PTTCWQyOVOn/sW3327jnXcmU61aGNevXyYx8TxDh451eBZn\nz0aQk5NFv37D7J67lZiYY+Tn59G16wApgy2uka5cuUDLll0dxjGZTM7ff6/G378cCoUCrdbNTo0v\nlzNnjlK1qmva3pkzkVSuXMuhPSEocmfv3k14evoXBN3OY0xSUgK1azd0+lzMfKSnJ1O/fisng2Hh\nq2ScPh1BaGihoMWkSYupVq0mI0Z05/r1a4CNzMxrtGvXs2AzNM/lBlx09CEaNhSyaM2bd6RChRDG\njRtR0Bc5SqUClUrNzp3rqFOnsSTmIZfL6d59MOvW/SQFn4X3doHjx3fx8cdTmD9/Prm5uQ8kEnE3\nhT97CXJRee9hAyuxLVEe3X6OeFC4Uhh8EOGkotkxuVz+1JS1HweejV7eB+RyucMLYO8BJNLhnqbs\n+ePC466Puhdu3hQyR/7+zrLXWVmZ1KnThKVLp5GS4lhoef78ScqVc5a6tq+PSk6Oo2nTdoSFNWX/\n/i0uAyl7qNWCxGlOjidnz54ABCdylcoNna4UJ06spXnzQUBhADBx4kTXjT0g7GmhD6qS+Dhhn3Uo\nqlL3sMHjnDmCIqJQjK1GqVRRuXJlIiP3UqxYkMO5ly6dp3x5R/56VlYmZrPB5a5jcnIi1arVKqCd\naAoKdNUYDEZOnTpWYBbteqDeuXMzIOfYsV137b/NZuXEib306DGY0qWD+Pvv9S7OsVGhQlXS0q5z\n/fr1u7bnCkXlyp9EpvBeeBzvmX3G014+/lnhpD/HfxMWi8VBCVcUbChKi7PZbE6CMSDQqJKSEqlY\nsZr0npcsWZaff95N06ZtmDZtKPHxx6lTx3GMsVqtDmqAa9b8QkBACTw8vDCbzXh7+zFz5gpOndrL\n8uU/2l0nWFgsXDiOzp1fp3XrbvToMYIff/wKtVrGihUrKV26NNnZqUAQFss11GojQUGtAGEeqlix\nIhkZGbz77nDi45PJycmjb99qLFkyRqojEzNx48b1BtSMGTPf6d4vXjzDkSPb+PjjuXh4+BAYWBov\nLz+USiUzZw6lVKkaTj6NP/44iuLFQ6hcubrD57/8MpWgoFoOCoFGo5ENGxZRsmSI5JcJwph27lwE\nIFAT8/LyHDwRT506TNmyVThwYBcbNqwkPHw+y5d/z4IF00lJSSIjI425c6fw889zWb9+FUeO7OP6\n9RSuXbtC/fpCzWzRrPfZs0cpX74aFovVKSgyGo3k5NymWbO2Ts8I4NKlBCwWI02btnMwGBYW/IL5\nc1paEq+84mgI/M03KyhTphzDhnVhy5Z1qFQaQkJqOmTORP8qgMzMm9y+ncZrrw2U2pg4cQEpKQls\n3rwGEAK4jIwbpKdfYeDAjxzEPF5/fQQKhYwlSxxFR6ZPH0WFCiG0bduLF1+sz5IlgnDW/YpE3Esy\n3ZUE+cMq74liR+JGoslkkuTRHwZF1QrvN7Aym80OAdWT3rx83Hh2Iov7RHJyMhcuXMBkMmG1Wp/o\nQvhJZqjEdsUdg8dVH3UvxMbGEhRU0ek7hKAojxEjxlO+fCXGjHnX4XhqaiLVqws7WDKZsCMoeC3l\nYzabSU5OxGw20Lx5J3r3Hkp6+hVu376zd1Rq6lXS0hIAG0ZjNitWTGDhwomYzSYCAkqgUgVw+XI0\nwcE1gVJS1mPOnEero7oTLfTfVnuEwp0ke3W3B6WlCQOaDZBz/Xo8KpU/rVu/ikwmJz7+NCEhjoIU\nN26kOkncHzmyE7XaHTc3d6f2s7JuERbmKGChUqlwd9dx7doVqld/qWAicg5MDjxuzbkAACAASURB\nVB/eQ8WKVcjPz+Ho0YN3vIc9e7Zjs1lo374PDRq04OzZoy7PE+X571ZHdS/Y11nZZwqBx54NFfEk\n6rOKyseLnh/278+//X4/x7MBkfImvjdibZSoSCaeY2/gW/T6kydPUqZMBTQax/pHmUzG8OHjef/9\nSVgsRiIiDmE2WwquQ2IJiE2eOLGPsLBXJCU+pVJJcHA1RowYxx9/fMexYwexWCzIZDJ++GEKWq2G\nt94SRGzeeGM4JUuGMHbs6/j6+jBv3vd06NAJ0AIlyMw8wvXryYSG9gcECmH58uW5ft3ArFk7Wbs2\nkc6dP2Lz5lV07x7EtGkDSU5O4I8/5hIVtZ8pU9Y41Y0BTJzYn5CQJjRo4Cjck5R0npiYY3zyyWyH\nz/Pz9URG7qJ//88cPjebzZw9G0HPnsMdPrNYrERHH6RZM2dVu/Xrf8LDI4BFi6bz1VdDGDSoBd26\n1aB9+yBSU5OIivqbGTOGEx4+jW3blnLo0DqOHt2IzWbhxo0LHDmyka1bf2b58ilMmvQWb7xRH6Mx\nj3nzvmDQoNZMnvw/1qwJJyMjHYArV0STeDeHoMhkMhIRsfOuhr579mzB29uvQPpeNBh2w2w2YTQa\nOX/+LFarmfr1HWXO5XI5c+euRafTsnDhBGmjV1SpdXd3x2azSYHVunW/4eHhVSDrLiAwsAQdO/Zm\nwYLJBewEK6tWLcXX159y5SoW9EWH2WxCr8+je/dBbNy4TMpSJSSc48KFk4waNQuAnj3fZc6c7x1Y\nVPcSibhfD6qiEuTi5t/DCltZrVY8PT0lefRHaetBFQZd1W/dSS35v4j/NwFVREQEWVlZNGzYkIiI\nCIlm8F9YCD8I7Bf0YiHvkwgI7xQMxsbGUqaMs/R5bGw0crmC4sVLMnnyEm7cuMzKlUukPufk3OTl\nl5tLE5sovalWq9Fqtezdux1vb78CI70KeHh4s2bNijv275tvvqBUqSCUSg0eHgr69h3J9euxzJw5\nnGLFgjAYFOj1tzAYcvDyCiA4uHtBX8wP/ccv0imBB1Z7fJqwF7Cwp6XdT3BfWGcWgEoFGo0fjRsL\nghPp6dcc1Pzy8/UYDHnUq+coSHHy5CH8/Us5tZ2cfBGr1UKNGs6eImazhZycLFq2bFswsQoyygJN\nU1gwXbx4hrp1m1K5cigrVxZVTirE+vUrqFq1JnK5nE6dBpCdnU529m2Hc4RnIaN69TD27t13z+dy\nLxTNFAL/ep3Vw0DciVSr1dJiNysri7y8vH+7a8/xjMBoNEp0P/uASdhIEwIqg8EgLYSLwmQyERMT\nQ4UKVZ2OiX9Lbm7eyOUKrl49z5Ah7cnJycZsNjmITej1edy6lUrnzq9Lm47iArRNmx60aNGJyZPf\nJSPjBtnZt9m/fx3vvPOlxGYxGo1Mm/YTN25cZ9Gi8ajVaoYPf5dJkyYBAYCG/PxIYmJOA3UQl0sH\nD27Ew8MLhULB4MGfsXp1LEOHfk9y8jWGDm3A0qUTqFz5JQIDA53ub/nyyaSnpzF+/E9Ox77+ejDB\nwWGEhjoKPyxZMgY3N19efbWrw+fr1s1HodBKynvCPRm4ejUevT4Ld3d3pk8fybBhHenR4wXaty/L\n8eN7yM3N4OTJnahUZsLCGjBw4Ce8+eZIQM7GjfH89Vcsa9ac5rffjhMefpjmzbvg7V2Cn3/eyy+/\nHCA8/BDh4YdYs+YUgwePRqPxYsSIcbz4Yh1u3UokPPwb+vatR+fOL5CTk4lCocBiMdsFRYIy7L59\nWwgMLMedGAtRUYepUKGKw2cic0ChULJnzxZ8fPxd+k8plUoWLNhUsIh3VP+VyeRotW7odDqsVhv7\n9291aVA/fPgYVCoF06cLqn9HjuygadN2RfrijpubltdeG4RCIWfBgpmAjdmzx1GxYlWp/xUrhlK+\nfAgrVjiveVyJROTn5z+wqW9RCXJR2Oph7DQUCoVDW6I31MOure5HYVBklRXNUD1LjLIn3tPx48c7\nGJyqVCpee+01l+devXqVNm3aoNPpKFOmDD/84OwqXhSrV6+mfv369O3bF4vFwsmTJ+nXrx8KheKp\nUHMe13fY10cBko/Ro9Z5PSjOnz8vKfzZIyrqEO7uvoBQT9Wv33BWr55HTk42CQmCal+ZMsHSDoxc\nLi+gggh/HNHRR6hUqZrUXp06Ddi/f6vLPly/nkpc3HE+/fRrypYNQanMxWTK54svluHt7cXJk/vR\n62+jUnkSGfkH5cpV5vZtIyAoM02ZMuW+7lX0vRJEGgp3U54VWqiYVhdpaTabTaIh3Om9nDBhAgBl\nyjTGZMrFZnOjevVQMjPTMZkMDrumkZH7UCo1UuAmIiEhxokGCHD48E50Oh+XHianTh1BLldStmwF\nScBC3CTQ6/Xcvn2LrKx02rTpRs+ebxEXd8JloGKxWIiPj6Z798GAsJPo5ubO1q1rXd7vCy+E8c8/\nD5+hcgWxSLZoQPu4FBmfhqS5zWZzoDWKxp/P8Rx3g9VqlWjQRWujxEBFyJJYXFL9RD+q8+fPU65c\niNMxkUJ47NgBAgNLsnjxdsDA4MFtuXYttcBXSsCOHRvQaNwoUaKstAi0x8cfT6VYseJ8/vkgliyZ\njbe3Ly1adAGETI5MJsPfP4APPpjGX38tIyHhNBaLhdDQUDZu3Ejr1m8DeuAKYAHKIiyZ5HTpImQz\nxPtt374XffsOQyZTEBTUgGvXUhgwoDq9elXkyy+7s3nzUs6cOcTq1XN4663pDma9AEeP/k1SUiyj\nRzuuecxmMzt2rKJr1/ecnuVffy2hWrVGbNr0GzNmjGLEiC4MHNiQDz5oDcCKFVNISDhEyZKB9Or1\nNhMn/gLYWL78MMuWHWT69N95//2v6dJlMElJ5yhePBij0YjBYHDIvkdHHyyw0hDEK5RKhSTNfvTo\nHoKCqtG6dQ8++mgas2atYf3606xZE10wl8j45ZfpdOwYyvvv9+bAgV0oFALb5sKFM1SuXJPcXH3B\nQt1x7LxyJe4OBu8y5HIZZ88eo0qVmhgMRgeZdBHCWGzl1q1UZswY49SKXK5Aq9WQmnqRdu162VES\nxeNy/ve/qRw48BeRkYfJyrpBv37DndpRKJR4enrQs+cQtmxZwfnzMSQkRPHRR1MdzuvZ812++Wbm\nHYOSoiIRwEPNKUWV97Kzs+9bec+Voa/I0BDl0R9Fxe9OwaO4FnO13n0W1mIinnhPZTIZAwYMkIpX\nTSYT69atc3nukCFDqFy5MteuXWPt2rWMGzeOI0eO3LX9M2fOMHr0aBISEvD19ZUK/p4GHnXRU1Q5\nruiC/mmLXgCcPx9HmTLObu5xcacpVqzQP6pPn3fx9vZm8uTPOHx4D+7uXgXFrK7FPq5eTXBIzffs\n+RZpaUmSopM95s//huLFSxISUpOXX26OXn+L5OQ4lEoVw4Z9WzARW/D2Ls+ZM9uoXr0hGRnJhIQI\nku2zZs12atMeRevSxAHkv6r2eC+Igx4g1cncqd5HGAjVNGzYFJlMTePGryCXKzhwYAsajSdubjrp\n3MjIvfj6liQi4h9mzPiKkSMH89lng7hy5SJ+fs67r2fOHKN48XIu+3jkyG58fR3r8mQymSSecOTI\nPyiVanx8AmnYsBUKhZyNG/9wamfbtvUoFHIaNWotfVapUjUOHNjhcJ7ocRUcHMq1a6kPVUd1LxQN\naB9XndXTCqjsv+NZmrSe49+Bvaqfq9oocb66k6qfvR/V6dNnHbIPoviPmGWKiztFcHAV3N09WbRo\nG/7+vnzwQTdSUq5I1/zzz3YqVAiRgjtXNPWvv15OVlYqBw6soXv3IUChUa9Ix2vVqiPVqzdmzJg3\nJBENuVzOhx/+jy5dRiCTpQBGIBDwBhSYTAY6dPDlyJGtGAz5TJo0gDlzPqR37zEsWLCN1atjWLEi\ngbZtR5CZmc/CheP47LOO2Gywdu1M/ve/dnz77TBWrPiabdt+4euv36Jq1SYYDFkkJJzkzJnDRERs\nY9Kk1zGZzGRk3GDs2LcZMaITAwbUo3PncqSnJ3Py5N8sWzaGc+f24ePjRqdO/VGr3ejdezTr1sWz\nePEBxo79mV693ufMmcN4eBTD37+Y028rKOEJ1DyZTEZ+fr40jl29mkj9+i0k8QrRFkWlUnH5cgI1\na4YVGLIWLv49PLwBG6VKhbB583m++up7FAozU6YMpUuXWsydO4W0tFSaNHkVjUZTsJmcJwVFOTnZ\n5OXdpnnzznd4F+HatUs0adIWd3cdKpVakkkXF/vbt/+Fm5sHEyb8yK5df7B+/W9O7Rw8uBeZTEaD\nBi0K6IRmcnJypNqhRo1epXz5EKZP/4TAwBJOgXAhZPTrNxylUs6YMUMoUaIMZcoEOwQeNWrUw8vL\nn7VrXW/+iRCFr+Ry+SMJTjyM8p5oYO2qLTFIs2/rYQMr++DRaDRKgdWdvvtZwROfRe9XLeT27dvs\n3r2badOm4eXlRVhYGP369eP333+/63WTJk2ia9euKBQK1Gq1tMPwbwQj94uiPlhPSznufhAXF+sk\nywqC2IA4AYoBySeffM3p0/uJjPyHUqXK3jEguXHjOkajnmbNCk0Bg4OrotO5s2HDaodzjUYDx4/v\nZsCA9wHo0KEHRmMeSUmnpXOGDp2GXK4kIyOH1NTz1KjREKvVSFhYj4L+WUlPT3fqR1HfLrVaLT33\n/w+wp6XpdDonPyKR7le37tvExu5GofCiSROh6Dsq6gDFixcKUuTl6fnnn+3cuHGJb7/9mDNn9mMy\n3cZszsJiMbJly3I6darJ999PlibBxMR4KlWq7twxICbmhIM8Lthnd2UcOfIPJUuWQaPRYDQaqV69\nDhs3rqLoruXWrX9StapjnVfTpu1ITDzr8nsVCgU1arzEwYN3rsl6UBQNRlzVWd3LB+rfhqug7d8e\ne57jvw1xQ1S06rjT+yNS7YvC3o/q/PlzBAUV+s2JQZp4XVraZerUaVRA+VEwa9bvBAdXYsSIriQm\nXgAgMfEsYWHNHah+IsSgyc8vkFategE2vL1LSHNv0WsmTJhHfr6BH34Y7bBD/847nxIQEERQkAlf\nX28gCCGgcMdqhYkT+9KvX0UiIrYwceJfvPnmJ9K1/v6BDB78KXPnbqFYsZJ4eZXm00+XUbfuaygU\nvsTEnGXjxhV8//3H5OXlEBt7iA8+eJUPPniVUaNeY+LEwRw9uh2VSs3x439x69ZF/P29aNq0LcWL\nl6JYsWps3XqdNWsuMm/eXiZM+JWwsNYYjQZ69Rri9PwPHdpKjRrOQkJms5n09FTatHlNmkPEDNTV\nq0kYDHk0a1ZIdRMDK7PZTFZWBq1adUKr1WKzWaUMJNiIjT1J1aoCfbFRozbMmfMnGzacplu319m9\n+w/MZiM7dmwgK+t2gXhRoXfUnj3b0GjcXG7cCf26jMmUX0DBE2jMokx6Xp6evLw8DhzYQYUKIdSr\n9wpvvvkhCxZMICbmlEM7W7euoVy5YIkNpNMJdVpGo1Gymxg7di5mcz4VK9Zw2RcRcrmcnj0Hk5V1\ng8GD/4dSqSroi16q4+vRYyjTp8+459pUZBCIghN6vf6RBCfuV3mvKOXuXm09rDy6CFEIQxTcMpvN\nTiqDz9K89FQyVL/99htubm4EBQXx5ZdfujwvISEBT09PPD09pc9CQ0OJi4u77+/y8PCQpE2fBh40\naLOvj7JYLP+qD5arvuv1etLTb1C8eGmn8zMz06lW7YUCoQnBiPeFF8KoWLEqFy9GExJS6C1UtO1d\nu7bg7u7hoEQEULNmXf75Z4vDZ6tW/YxGo6ZFC2Fnys/PH53Om+vXz2AyGZDJhPYrVKiO1SrHaNST\nk5OGTudJcnIKIARH48aNk9osqtj3XxKaeBKwV+yx9yP66quvAA29eo0mKekENpsbtWoJ3PELF85S\nqZLwG27YsIru3WuRm3uLsLDW/PbbUZYv38vs2X8yZMgoZDIlW7acp0+ft9m1azXdu4cRGXmQmzfT\nqF37ZZd9Skm57KRcVdBbAOLjT1KjxkuSUfDrr48gOTmWGzduSDulNpuVixfP0KFDH4cWWrfuhsGQ\ny5UriS6/OzS07mOl/d3pb94+oC3qA/UgO3lPI0NVFP8f/w6e4/FBVMwVs0iuFl0ilcnVMXGhrdFo\nuHnzJmazBT8/IVMibtCJG4rChlcODRq8WnDMhEajZcaMlVSpUp2PPurB2bMnyc/PpnnzTk7Bm33Q\nJJPJOH78ID4+AXz33SjS0q65pAeq1Ro++mg6+/b9RUzMsYI+21i6dA45ObdISjrHrVu7gFMImzzZ\nCHVWMtRqN9Rqb8aPf40vv+xKQkK01K7RmM+wYfW5efMmP/ywh5Ytu/LBB1P45pvf+emnQ0yZImRN\nPv10OZs3p7Nly022bLnJ5s036NbtHdRqL9auvczy5SeZO3cPEyasYuDAcaSkJPLGG58Cooy8DIVC\nya+/zqR06WrodI6CQYIw1CU6dern9NscOrQVuVxNaGjhRpVYj7N//0Z0Ol/kcrlTliQycg8KhVoS\nsRKDVLPZRE5OLjdupNKggaNghFqt5c03P6F798GoVDouXTpJv34NmDDhE0wmoxQUHTq0i5Ily9xx\nob5r12Y8PX2KmLoL46+HhwcKhZxLl84SFtYMq9VK377DCAtryujRAx3qbc+di6Rx49YObdt7TBoM\nBrKyhBqskyePuZRct8etW8L6MybmnF1fFFKQV69eUwwGE9u3b79rO2L9lDineHt7S4ITD1vLdD/K\ne/dr6mvfFtxbAv5eELPCWq1WysqJweOzNDc98YBq+PDh3Lp1i9zcXNavX8/atWuZM2eO03l6vV7a\nFREhFsPdL3Q6nRRQ/ZcyVK7qo9zc3O5ZH/W07yE+Pp4yZco71cAYjSYMhjxq1KgjUT1EI95Ro74F\nwM/PWaRAxIkTh1xmvbp2fYOrV+Mddl127lzrpNpTqdKLKBT5pKRclD4LCamNUukBaAgP/5wSJYKI\njz9FuXKCIl14eLiTYp/o2/W069L+TYiUOmGQlKFQlCxQqrtGSEgtSX44Pf0aL73UiJEjBzF//hf0\n7DkYmUzGm29+7LCTGxm5D09Pf+RyOf37v8+aNSeoW7cBX375BiZTPi+/3NSpD2azmdzcbBo1annH\nft68mULTpu2lf9eoUQ83Nx3btq0vUGTK4cCBPdhsFl55pb3DtVqtDh8ffzZtsqcIFgYlNWqEsX//\ngYd4enfGvd4fex+oB62z+jcof8/xHHeCqOon+vy5yuiLdD5XlB3xmBiInTt3jgoVKkvvn8lkcjDv\njIw8hFKpxtvbryBrpUIulyGXy5k+/RcqVw5l9Oj+aLU6AgKKu6T6iUHTjRvXuX79IuPHL6REiVKM\nHj3QaQNTDMAaNWpBrVotmDjxLVJTk3n99Ub89dePtGzZiY4dh6JQqJgxYx2dOr1RcGUa4IbRmIdS\naeODDxaSlnaL999vRu/ewYwd24O+fStx61Y2CxceISCghEM/jUYjn3/eiZo129CyZReHY/n5etav\nX0CfPqNQKByfaXj4VNRqD1q27IzVarXLGEJ09AHatevv9Bvs3bsWhUJNnTrOpum7d6+hdOkQp88B\njh3bQ4UK1dFq3bDZrOTl6aUxbP/+LRQrFlSguCgrMIRVoNFouXkzBbPZxAsv1HVZHxUVdZDKlWuz\ncuUBvvjiO2JiDtGjR10WL/4OlUpJYuI5atSoh16fW1Bj47hQj44+THCwcx2vABk5OVnk52fTqtVr\nUhvjxv2Il5cXH37YH5vNSlpaKrm5mXTuPMBlK6LVzrp1K/DzK4bZnMfixd/d4TsF7Nq1huDgamze\n/EsBc0NWYB/iIfkydukymGnTpt+1naLUO3vBCbGWKTs7+6Eod3dT3rsT5e9+2hKDtLup+N0JoiCF\nqESr1WodzLSfFTzxgCowMBAPDw/kcjm1a9dm6NChbN3qLEag0+kcCgJBUAoSFbXuB+7u7lLQ8jRw\nt4DnXvVR/0XExcVRunRh/ZQYkJw6FYFcrqRUqTKS54gIUTp7xw5nLyARly/HUru2swnsCy+EoVKp\n+PvvjQCkpCSTkXGVN9/8yOG8pk3bYLHkkZwcL3324otNMZv1FCsWSkpKJL6+Jblx4xIvvtge8bU+\nfVqgCYqKff/V5/400KCBMJH27z+J9PSL2GwWWrfuhMViJivrJiZTPsuWfUts7BF+/HEjjRq1BWQE\nB4u0HGEBcu5cFCVLlpfaVSqVfPXVPNq37w04e3GAvSBFkNMxgPPnT2OzWahVy/EdqVOnAbt3b0Cr\n1eLu7sHmzX9Spkx58vPzMJtN2E/SVau+QFSU66CpUqXqXLp0kczMO8v0PwgeJBh5UnVWj4rnAdVz\n3C9EVkJRVT97GI1GiepXdJdaVH0VA7Fz585JSrLiMfssU1TUYfz8AqXFYtEd86+/Xo5a7YbBYCQz\n85bDMTHAEIOm339fhre3H2XLBjN58k9kZCQzf/43DtfYB2BjxszGYDDx9ttN8PLS8fPPB3nrrTEM\nH/4FgYHB/PDD5wwdOpE//ohHofAF8gEren02s2cPxGq9TY0aDcjKyuDYsR3o9VkoFCZ+/XUKV67E\nOfTzo49eQSbTMXlyuNPznDHjbXS6QPr2HeZ0bMuWZbRpMwibDanmSyaTERHxNyaTic6dnQOq7dtX\nUaHCi06fC79HFPXqNXd5LCkpnrCw5gUGq1q0WjcsFgt5eXrOn4+matU6gPg72lCrVYCNvXs34uHh\nLwks5OY6ikYIhr7CnNS0aTtWr45g0KCP2bBhET17NuLWrRRatuxa4B2Fk3dUcnI89es3c9ln4Rmt\nw8PDi8DA4ri7C8yYvDw9M2euJC0tiZkzx7Fhw+94efk6GNm7wvHj+2jUqDUDBrzH+vU/kZ5+w2Ug\n888/OzAYcpgz5zfkcvjpJ3sLFyGwcnd3p3HjNly5cpVdu3Y9sKlvUcGJrKyshxaJsFfeM5vNZGZm\nPrCyoH1bYmB1JxW/u0F8DmJWTqPR4Onp+cyVYzz1FWZ2drZLOdGKFSty69Yth9qXmJgYQkJc75y4\ngn1A9W9lqIrWR9nX6TzoAuZJ3oOrtmNjYylVKrggo2bAaDQilyuIjY3C3d3X6Q/NbDazb99mlEot\n165dJDra2Q/IbDaTnX3TKasgIiSkOjt2CCIl4eHzCQgoQWBgSYdzWrZsh9VqJiGhUKDE2zuggG5Q\nD5nMzKlThzAaswkJeQVxoT1s2LD/dAD7tGC1Wrlw4QKgoEaNZkRHrwO0NGhQn7y8fHbuFJ6/0ZhF\nePhBgoNDOXp0Nx4efk7PLjk50YHeaf8dHh6+bN++gnnzpjkci4jYi4+PcyG0KByxZ892fHz8nb6r\nT593SUm5QF6eHplMxvnzkbRo0VEyCs7N1RdkN200b96Rq1cT7NouDBhUKjWhobUeax3Vg+JB6qz+\njQzV8+DqOVxBpPqJhpuuaqMsFotDXVVRKWSDwYBWq5XesfPnYyldOliqaS2aMUpIOEvZssEFmybO\nEOpL1Gg0aoYPFzIQ4udiTbI4lhw+vIOXXxaCBS8vHz7+eDJbty7j9OkT0v3ZB2ByuQKFQo3NZmHY\nsMm4u3sWMBrkTJ26jKSkeNauXYRWq2Xx4u3IZArc3b0Q55yUlAucOXOA0NAmhIfHsXRpDPXr9+bY\nsf28805dunUrxciR7Xj77dpcuXKJuXN3OXlVxcVFcfjwFj75ZJ7TvW/d+gv5+fkMHPgxFosZmw1J\n+XDVqllUqhTm0vsqLu4kLVt2c/o8NzeLrKwMOnTo5XQsJ+c2en02rVp1kj4TaVkajZa0tFTq1WtS\nUPdikNY4MpmM6OhDlCtXFblcGPfUakE0Qq/XFxjQZtK8uaOhb8+e7/Dnn5GULl0am83GqlU/YTZb\n7LyjhMDq+vVrGAw5NG/epWiXJRw5soeKFQVVYXHs1enc8fb247PPvmHXrj/4++/fqVGjzh3bAGGT\nNzv7Jt27D6ZPn6F4enoxe/Z4icJnP3avXLmAmjXrotG4OflSiZDJ5Oh0HvTs+Q4zZ856JFNfsZZJ\nLpc/Ui2TQqGQBCKAR9rwu5uK390gesjZQ/h7fLbWbk+8tyNHjuT48eMYDAaOHj3KggUL6N9f2EFp\n2bKlJI3u4+NDy5YtGTt2LFlZWURGRrJq1Sp69ux539/l7u7uRBF80kGVvQlbUUNYnU73zNTp2Gw2\nzp49R4kSZTCZzKhUSjQaDSqVkvj4MwQElCIq6hDffTeWESN60LPny3TpUpMlS6ZjsVgpW7YCP/44\nzaE9gOPHD6NQKF1S/gDatOnJpUtnAEFVrij1AQR+u5dXMRITHRUffX0D0Ovl2GwWbLYcQEZc3Bl0\nOiEgO3PmzON4NM88BF8V0GoFysnZsztxdy+Or68fOp0b4eHzkMtVzJu3Ca1WUPmLiTlBiRLOao+Z\nmekus40JCWepWrUeX301l02bfmbt2pXSsfPnoylXrrLTNefORfH22x1Zv34xt25l0K5dddq2rUab\nNiF07FiDc+ei0Onc+fPPcFJSksnLy6Jz5zcko2CNRo3JZCQnJ4ewsOaYzYLZY1FEROzn5Mkoli5d\n+nAPsAgeJeApWmclUi7EAuhHbf85nuNxIj8/X6L6uZLWt1fuExdA9os6V35UsbFxlCkTjMnk6Csl\nIi3tCiEhNVEqVchkcge6l0A/zCc3N4MZM8JRqWS8914PzOZC/0GxvYyMm9y6lULPnm9hswkL1GbN\nOlKvXhMmTHhX8tOyF6iYMOED5HILVas2YPr09woyV8KxkiXL0K3bCJYvn0ZubjYlS5bj7benoNfn\n8uqrjrVJMTF7ef/9hpw6tYcPP5zCypXRrFlzlbZt3+XMmcOkpCRiNuv54IMmfP55F9aunUdGxnWs\nVitjx/akRo1WvPyys2R4ePhUGjXqIYn3aLUC1c9oNBIXd5K+fZ3l1U+fPoLJZKR9e+e11Pbtq9Bq\nvShZsozTsR07/kCr9cTPL8DpWHLyBSwWMw0bNncwqxWXW5cvXyjIQAlSHudSmAAAIABJREFU63K5\nTKpbPnRoOwqFmtKlnRkLWq2OChVexNPTm5iYw/TsWZ/o6GMI3lFCULRz5ybc3NwL6sRcr+8uXz5P\n06aOAZtcLsfNzY0mTdrQpk13srJu0KDBqy6vF/H778vw9Q3E11dQ9/v002kcP76LjIwbKBRyiU54\n69ZNEhPPMniwYL78+uvvI5NZ+eWX+S7bffnlluzZs5vTp09LGR37wOp+M0X2tUz3Epy4H4g0R9HA\n/mHUBcV2PD098fDwkFT87hak3al261mbB594QGU2m+nevTu+vr4MHDiQyZMn066doBhz8eJFbt68\nKZ27ZMkS4uPjKV68OF26dGH8+PE0bNjwvr+raIbqaUDcwXsWDGFdwT4QTEhIICioMlqtxqHO6PLl\nBG7eTGXu3CmoVCG0bTuBPn3m0b795yiVgdhsRi5fvsDVq7EkJMRi/+gPHdrjUqZVRLNmHbBYzGze\nvAa9PpNu3Qa6PK9GjTDy89PR6wWZdZsNSpeuRErKBdzdS1C5smAQGBV1gEqVGgPCLl1ERMTjeEyP\njPtVu3wSmDZtGiDnpZcE/7dbt65QvbpQa/bpp2+g16fTsGFH/P0Fmk1OTg5JSQlOin23b2dgNhup\nW9c5oLp27SrVq9eiUaPWDBnyGYsWTeT8eYFymZKSRPXqLzmcf/jwLj7/fCCpqXogFK02DKs1GJlM\n+N1MJiOLF8/Ax8ef3bs3smHDb/j4+Ev0DZBJAhZubjpkMjl+fgFs2fIHVqtFetb79+9k3LghhISE\ncv36jcf0RB8PxMlL3GXMzs4mKytLUjx7knieoXqOe8FkMpGfn39Pqp8oSACOzIc7+VHFx8dTunQF\nrFary2xKbu4tatVqiFKpQC53zHiZTCaioiJQKFQEB1flhx/Wk519g1Gj3nYQtgD466/f8PDwJiCg\nBDKZXPr8yy+/Ry63MGnSxwBS348fP0x09G7Gjv2RL76YRW5uDkuXTi2QCger1UK/fkPx9S3D2LHC\npvBrr71BSEhDIiN3MXjwTERqNEBmZhpz5gynXTtPRo5sx6hR7Vm//luCguqyenUSixadpE2b4eTk\nWFixYhb9+4fQoYM/t2+no9PJ2bBhIampSVJ7u3atJjMzgxEjJhRQLAsDwd9/n4Na7e7gIyhi3bqF\nlCpV1eWz3r9/MxUrOpvaAhw5soOgINeqrbt2rcfbu5iU2VOpVBiNRvLz88jLyyMn5zYtW7YvIrVu\nQ6GQc+zYXgIDy6LX57rM0J89e4wXXghj9eoIatcOY/To/syZI2wKyuVyoqIOUrZshYK5KldSFRRx\n7dpVDIZcyXOsKORyOfXrC0IU4eELHWTSiyIiYhdhYa9I7069ek2pUKEKU6Z8JlH4ZDJYvPg7vL19\nqVKlpvQdXbu+zrp1S1wKWUybNhqlUs38+QukjI5IuxMzOg9ay1RUcOJBa5lEhT+VSoWnpyc6ne6R\nZNtB+NsSVfzy8/Pv2JaYARfxrG4qPvGAatasWSQmJqLX64mJiWHQoEHSsUuXLjF27Fjp32XKlGHH\njh3k5eVx9epVRowY8UDf9bRqqESqgjhh2KvCPM4U5ZOk/FmtVkRfEQCtVktS0iUnD6pt237n+vWr\nZGWlYbF44OkZRLlytalcuRHu7uUwm23Yv0YfftiTMWOGcuNGKiBkJ0JCXA/KIAwEZcqU5+efZxIY\nWBIPDy+X57Vq1REwc/XqBSwWC0ajkSpV6nH7dirlytUhPT0OlUpDcvI5wsK6IxgxwoABrgtOnxbs\nKaDi7tGT+k1dtRsbGysepUmTAeTn52KxGOjTZxALF07n3LkDKBQqXnqpiWS4q9PpyMy8SWhoLfLy\n8qW2jh3bg1rtjkbjKB5jtVrJzc0iLKwxAD17vk2dOo0YPXog+fl6srNv07Bh4W5rTMwJxo8fDpSn\nTp3/AfXp3Hkanp65WK1GWrX6km++SeTzzw8ik3mSkpJARMRuatas6/K+xX5Xr16HU6eOSDt08fHn\nmTp1BF26DGDq1J85e/YMeXl5j/SM4fEP9uLOqWiwazQapcXsk3xXxHt41gp/n+PJw95z6m5Uv6LB\nljhniRt1RQOxnJwcMjMz8Pb2d6lum5h4AZvNStWqL0r0MfH1FOutIiMPEBAgbNJ5efkwe/Zq4uOP\nM2/eVIf599ChnVSvXltaKIrvuVKpZOzYH4mK2klExD9SH2bN+py6dZtSqVJNPD09eeedcWzc+Aup\nqYkFmTiBTjh58k/Ex59i164/AZg6dSm5uXkkJh6lb98xOC6rZICa06ePkJBwklatXueHH/7Gy8uH\nsmUrMHjwZ8ydu4W1axN5440xgIw6dbqRmprO8uUzGDy4Dh06FKN37xBmzXofX98y7Nixnvj4c6hU\nhb/Jli3hNGr0msvf8uTJwzRt6trP6dKlWJo0aefy2IUL56hb15WxriB+UaFCDSk7qVKpJMXigwe3\noVRqHNSC7QOr2NiTVKlSCzc3wWupUHhC+H1SUy/RsOGrKJVKxo2bzxdffMeOHasYNKg9WVm3uHQp\nhlq1GkjiXqKqoEj/3rJlDV5evk5Kh/bYvn0dJUuWIyMjmcWLZ2MymRxYAgCZmRlkZKTSvfsgh/f0\nq6/mkJR0lqNHDyKTCbVlR45sp0WLTgV+XIIWwMCBn2CzmQkPX+Dw3XFxZzl9ej+TJi1m3759xMfH\nSxkdT09P6fqHCWLsRSIetJbJPktkz6R4VNl2KJRHd3Nzc1DxE/t1J8rfsxZUPVsExXvA3d3dQTb9\ncQck9otjUZlI9L96Fn54e0NbMU0vBoIpKSl4efk4SJufPHmEn376FihGu3bj8fHx5rffhrFu3TfM\nmtWdP/98H7DRt+8ixo6NQq32BAT+9LvvdmDGjJFcv36ZevVcD8oiGjduTV7ebRo3vnP6vW5dIVN5\n9uzOAqVBFTVrNsBqNVCpUiMyMi7Tt+9ngIHr1zORyZSA6okYut4PRB8Uk8kkUUA9PT2lhYoYjD9u\nFH0Pe/USuPFyuRt+fqXYt28ZoCQ39zbr1v3ARx9Nw2Ix0ahR4c5mTk4WZrOBRo1aSNnGvLw8oqMP\n4+fnWN8GcPHieQAqViz0mZo4cRFqtYIPP+wHyKRjOTlZfPxxHyCQnj1X4O4egkym5PDhMdSt24Wu\nXSewa9c3pKdfxcMjgLfe+gVQkJqaUCB8cWe0bNmVtLQkPDw8sNlsjBs3jCpVqvP225+j1bpRoUJl\nIiMjH+h5Pk2IxbhqtRqlUonJZCIzM/ORKByu4GpMfBbGr+d4ehDrpiwWy12pfkU3EcVFkL1IhT2i\noqIwGk1s2LDKJYvj6NED6HQedtcJmQ37equ4uNNUrFio8FayZDm++GI2+/atZf36VYAw/qakJNC6\ndfcCIaXCtYDNZqNy5eq0atWV2bNHotfnsnnzGrKyrvPhh9MQ1FAVdOjQnaCgGowZ86ZUC6NUqggK\nqkTbtoP5/vvPyM/Xo9N5Mnr0AvbsWcOLL9ambt3OFC6tbICZPn0+pkWLt9i9+3d69CjDihVTHf6m\n162bR3j4FIYOncOUKT+zcOFu1q5NZNOmm3z99XbKlq1eQLuUs3LlREaObEuHDiXp2rUS/frV4dat\na5jNRjZt+o2LF2Olti9cOINen02PHm86PevExFgMhjzatOnqdCw3N5vc3CzatnU+BnDlykXq1m0C\nIKkCy2RCsBoZuY/AwHLk5+c5CEmI70daWmqB4qsNpVIhqTvn5uZw5UoiJlMejRu3ka5p2rQd4eH7\nsFj09O/fjJycDMnwt9A7SlvgHaXn6NF9d93EBcGEvkmTNowaNYPt23/l/Pkzkky6aHOxZs0KPD29\nKVaslMP4WLp0ecLCmjJr1hcAREcfQ6+/zRtvfIhOp5NYHmazmU6d+vPnn4sdnsE334ymSpWa1KnT\niI4dX2f69EKRFKVSiZubG3K5/K4ZnXvhYWqZXNEMH6dsu32QptVqpbbENZL9dz9ohu6/gmevx3eB\nh4fHE8lQ3ak+6lmR3xYno7y8PIkzLg5iYv/j4uIcslOXL19g2rRPaN16PBBK06ZvMmTIL7Rv/yVH\njy4iM/MCAwb8AtTkhRda4ObmzejR+xEyQ1qUytLs3bsZk0lP/fp3lssGwfQPoHFjR+EK+51Ok8mE\nl1dxLlz4B6VSUUAzUaPRuGMwKLFYzHh5uQFWNm5chJ9fZURPqh07djz6Q7xPWK1WB4l8lUolUUDF\nTKb47EWFnocZnO4XYoaqRIkXADh1ahM6nT+TJr1N8+ad0WrdUSq1eHv7StccPboLtdodd3cPaTGl\nUChISDhLqVIVnGRwjx7dg7u7r0SNAWFimDz5JxITz6DVejFt2icMHdqJ7t1fAmwEBb1IbOxyEhL2\n4uaWisGQRuvWn9Cw4ZsEBATx22/CZOXu7ktAQDNATo0arjNUIl5+uRlWq5kzZ06yfPmP5OSkM3Hi\nEgwGAzk5uVSp8niEKZ40HUGkUHl6ejrI0T7ud+VZGLue4+nDbDZLVL87bRaaTCYHqp89ZDKZJFJR\nFKmpqfj7F2PVqtn079+Cc+cKDdstFguxsafx9y9u11ahcIRYb5WWdplatYQNNuGYibCwVxg06GOW\nLJlCdPQxIiL2I5NBnTqNJeUwcS0psjPef38C7u5ujBv3HitXfkfTpu3QanVSICiTyZg0aT6pqVdY\ns2YRGk3hsxgx4is0Gm8mTxYMdBs0aMHLL3dhwoQ3+eqruQQGVsTT0x9hiWXjt99mcOVKJOHhZ2je\nfDC//z6X114rycKFoxg/vheLF3/FoEEz6drVMfBRKJRUrFiNuLgj9Ow5mvnzD7FqVRxbtqSzdOkJ\nhg+fgsWSh1rtQWzsQX76aSzvvdeCDh3K0rVrFT7+uCsKhZaff/6O3bs3k5VVqIr4119L8fcvi1br\nyDgAoX5Ko/EkIKC407GsrEzy8/U0bNhCkmu3R2zsSUJD60pUbHED12azcuXKRcxmE/Xrv2JHBUTK\ncO3evRV3d0/kcgX2c4yfXyDLlu2mbNkKgI2IiEMU0isFDy6xrjY5OZ4GDVo5CULY9z87O51OnfrT\ntGk7GjRoyYQJ72GxmHF3dy8Q0Mjjn3+2UqtWfZfj/ahR33L79g3WrfuVFSvmU6FCFXQ6d4lt4OYm\nqCH26jUUq9XAypVLAIiOPkpy8nlGjZoNQOfOb7Bx4yaSkgqpnaLqpauMzoPiQWqZ7uZB9Thl2+3b\n0mg0ku5B0baeB1T/MnQ6nUNA9SgZKlGT/271UU9aSfBR2y9qaCs6oLuiWsTHx1OqlBBQ6fU5TJo0\ngjZtRmM0atBoBKGCmzev8vffs/HxKYPJpCcm5jhuboUZLTc3L+rWHQoYqVVrIJUqfQao6NevyV37\nuWvXVkDGnj3bpH5bLBYMBqO006nRaHjhhZfJzk7B/pEEBJTk4sWzeHqWIjLyT7y8AgAjanUJQBiA\n3n777Yd+hvcLe68xmUx214BbLpejVCrx9vZGoVBIg9PDptPvhFWrVhX8n4Jatdpjs1lJT79IXl4a\nnp4efPbZbCIj9+Lv7+ghdvLkEYdMlLizdOPGNapVqyXJ4IoUi5iYExQv7lxgHBJSE09PX/LyMtm3\nbzOJibEIk6COGzfiiYv7i9TU79HrN9G9+xQUCoHj37v3t1y+fIDUVEG1z8MjGPBg27Y/73q/crkc\nf//ibN36J1u2LOett0bi5eVbEMRqCQmpxZ49+x57xudxw34CF4Nw+3flUTjtRdt/juewhz3VTxyn\nisLepLfoeyRugrkSY7LZbMTFxfHKKx347bfDBAWV47PPejFt2ijMZjMmk4mUlEuUKxcsXSOXy6X5\nQKVSodfnYjBk06iRwGYQay/kcgXduw+hcePWjB8/lC1b/qBEiTJ2dUOOmS61Wo1CoWDSpEWcO3eY\nrKzrDBo0Str4EvseEFCMrl2HEh4+i7y8XId+jR27kBMn9hEV9Q8AX331PXK5lsmTB/L99xvJzzdS\np05zQAPIiI8/Qb9+waSlXeHVV4egVOpYv/4HIiK28uKLTV2a7gJMnNgbd/fivPHGR1gsZqkmrWTJ\nIBo27EB29i2+/HIZy5YdZd26BLZuTWXp0iMMGzYei8WAj48PR45sYM6cD+nduyYdO1akb9/6/P33\nn2g0Hpw4ccRpMXvo0DbKl79T/dRatFpP/P0DXC56b9xILWA3yKQ1BwhZz1271uHh4S/9LoVUQAHR\n0UcICqokZXns66Pkcjl+fmXw9PRh+fKvmTlzbJFvlnH16mVMpnyaN+9IXl4+eXl6p3vbtGkNOp0H\nxYoJ896YMXPRaJR88cVwQAju1GoV168n0rFjP5c1re7uHnTs2Juff/6WmJgIevYc4nBcpKF7enrS\nunV3/vhjPgaDge+/H0+NGi9Jghyent60bduLmTO/la4tauprn9HJysp6qE21e9UyiX+39wpiHqds\nuxhYiWvqokHaszhH/b8KqDw8PBwofw8D+2xOfn6+VDj+LMlvu8qoiQo7riY5gNjYeEqXLg/A4sXT\nKV26Hi+91JMrVy7i6emHyWTghx96ERhYjs8+20eVKq9w4sQSvL0dFYC6dfsfoCEy8hv0ehk6XQ8s\nFhgyxFFxxx5Hj+5Bp3Pn6NG9mM3mgoxUodKg2O/OnXtjs5nIyCik8ZUvH8q1a5coW7Y2Fy4conTp\nSqhUbqSmpiEEVB5kZGQ8jsfqBHsK5cN4jdnXzth7FD3KYtkew4aJHiZW6tbtypUr8dhsemw2KzNm\nrEYulxMff5oKFao5XHfhwlnKlXO2KxDqpJoU7ARqMJkE7npSUgIVK4Y6nR8TE0V2trgjqgE8kcvd\nCA7uR16eNx06LAdqU7x4NSpUCJOuK1euNiVLVmHNmskApKWlAMEsW/YdJpOx6Nc4oHr12uzZ8yce\nHp52u73CDmadOg05ceI4FovlkTI+/0ZAUrTOKi8v774laYvCVf+fxcnrOR4/RDaASPVzNV/k5+c7\n+RGKEEUq7pTVSki4SKlS5dHpPJg69WcmTlxIZOQO+vd/hYsX47h5M4XKlR1tGWw2m53X0n5UKg0+\nPv4FNVUWSTYcYOTIGRQrVoITJ3ZRp05Du9quwrnd3kQ4OLgqHh7+2Gwglwvy6PZGumazhf79h+Lt\nXYyJE99y6FeNGnUIC+vI1KlDC+q0lIwf/zPHj+/l7NnDTJq0iqioffTv/xFqtSe+vsXRaLyJjFzL\n1q3zCAoK5r33ZtO//1Ti42Po3r0MU6e+QVZW4Xy1desyTp06xPjx4RiNzhnDBQs+x8urBGFhjpuW\nJUsGERRUFavVyuLFewkPP8pffyWwYUMC48cvoVmzdlgsBnJyrjFmTH86dqxIjx4v8dFH/Vi+fB7x\n8WclufmiOHx4J2XKhEim8PZITIzFYrFI9bTCs5ej0Whwc3MjOvow5cpVcZrjxMDq8uVz1K7dELVa\nU1AfZXaoj4qPP0mrVl356qu57N79J598MtCBTrdly7oC8SJPPDzcUSiUThLnBw78TUhIDekauVzO\n1KlLOXv2MNu2bQBg48Y/UKu11Kr1MjKZDIPB4CSgMXToF1itwn00a9bR5bNSKBS8++4XmM35zJkz\nkatX4wtopYX3/tprg/n9999JTRXqzosGNvYZHbVaTU5OzkPT7u5Uy2QfxN0PHqdsu6ggah+kGQyG\nZ3JOejYihPtEUVGKB8nwuMrm6HQ6l9mcotf9V2CfJYG7Kw4WvSfR1PfEiQNERh6kffuvAEhLSyUw\nsCSLFr2NTJbPu++uQS6XM2DAImw2PVZrapF25VSt2hcwc+3aL5QqVZvKlQdz7dpVfvnle4pC4Lpf\noE+fd7lxI0marDUatVOGp3r1FwE5R4+ukT6rWbMhOTk3ePHFtty8eYXQ0DCsVltB5kyDTCaIXPz9\n998P80hdomgtmlKpfGivMXD0KBIXy49q/ipSD0GFWu1T4BG1HIAuXQZLBs7Xr1+lZs0wh2uvX08h\nNLS2dK8gIykpDpsNqlSphqCwp5SKgm/dSqdKlZoOfHmr1cr//tcHkKHRhACVUSotVKnSi1df/Qh/\n/zJs3DgFOEfXrmOc+t+mzadcuXKQ3NxM9PpMAgIqY7VqOXx4113vu1Gj1lgsJt588xOnYz4+Afj4\n+JOUlOQyO/hf+Vu+W8AmTq7ibuPD1Fk9D6iewxVERoY4/7kKmMRFnCvFONGPSq1WO72LYlbr0qVL\n0sYdQJ06TVi5cj8VKlRk5Mg+5Obeonbthg5tQiH9Jzr6KH5+gQXBkRGVynHMFRfHAJcuFdKoxHOK\nmghnZNwkOzsdnc6DadM+RaUq3HS02cBoNKDRqBkzZh6nT0cQGbnH4b6++GIW+fkG+vevx4ABDZg0\n6S1sNguTJw/i8uWL9OnzOatWzWTUqAUFtOOavPfePAQ5eButW/ejf/9hrFx5mnfe+Y7Tp6Po0yeY\nL7/sQkTENubN+4QePUYTHFwVmaywXgmE4HXv3nX07fup028B8OuvsyhdOhQ3N530mVqtpW7d5pQu\nXQG12oPVq0+wefMFFi3aRffub6LRWNi0aTH5+bn8+usshg7tzKJF35KaeqXgmdi4dOkcdeo0caL6\ngaD+5+UV6NDPwt9ATnLyJV56qTE2m5W8PL3DuJufn0dOTgYtWhTWbYkZDKPRSFZWFpmZ12nV6jVq\n127E/PkbuHAhmiFDOmE0CjXhUVEHqFZNVC0UMjweHh4OEudJSeec7FkqVQqlW7c3mTt3DJmZGeza\ntZFq1V6U7tnd3b1AQEMvbWIJdLrAgrn2zmJHarWatm17sHv3b4SEVMfPrxh6fZ5ESfT1DaBFi67M\nmiXQAO9l6mtPu3uY7JCrzFdOTs5DzQGPQ7ZdpBqKQZqXl9cdVUX/6/h/F1A9aIZKXHjeTzanKJ70\nD34/AaG4uBf/0B80SyIiISGB4sVLM2/eRDp3noJW6wlAVlYGZvMNrl49zDvv/I5arQUoeD7luXFj\nH0aj42DSvfsHgBar9RYqVRLNmn2IQhHC6tWLSE+/Jp1ntdrYu/dv5HI5nTr1R6lUs3//jrvulHh6\nFuPcucKaKCFwus4ff4zCajWye/dMLJYMXnmlB+CBzZYJ+Nhla1zjfp+1yWRyMm2+V9B9v7BfLOt0\nOskL4mGyEOPHjy/4Pw3Fi1dn8uShxMdvABQMHy4cE96bbBo2bCFdV6jY57jjKWQRvR3oGQAGQx4m\nUz6NG7dANF7My8vjww+7FwyqL2AyeaFQKDCbDTRsKPikdOo0DqMxEZBTsWIDp/6HhrZCo9GxcuVU\nlEo1DRu2wmgMYNOm3+9635GRgrl0iRJlXP4moaF1OHz4sEPGR61WS9nB+wlin3SG6n7aF6WKH6bO\n6r8SOD7Hfwf2VL871UaJzAd7k17760XFN5GmZ39M3Ci7dOkipUoFORwDOVOmLKVPH2GMXrRoNmaz\nRRL2Ec4Tzr9wIYagoEoFHlYKp81Cq9XCiRPHkMuVxMQckfzw7BX+7Pu+bNkP+Pj4M3HiAs6dO8z+\n/TulY6I0uUKhoGrVGtSv35Hp0z+QFosxMdG8+eYrWCwGMjOvUrNmLTp16kebNn0BJT/++AGrV0/H\najXz9deDmTlzEzExJzh6dD3z5x/i6tVk+vWrwqVLZ9Fo1HTu3I9ly47x2WfhXLp0ifHje6FSaWne\nvK2dmmLhvS5a9DlqtQedOvV1+VtFRx+gY8fXXf7eu3f/SaVKhXLpZctWpG/fD5g+fTU9eryDVuvN\nJ59Mo2TJ4uzevYrBg1+hW7fajB49hJyc27z6aieX7Z48eZjgYNdUwfx8Pbm5WbRs2QGNRotW62YX\nxJs4cGA3KpWaUqXKFfxGAk1TJhNUiI//H3vnHR1V1Xbx352SzEwmhfSQEEJP6E269CJdQBEVFURp\nFgRRFDugYkERBBGRZuMFRJpApHeBEAKEACEhIRCSENIzyfT5/ri5k5nMoIDgK+/nXsu15JZzzpzJ\n3Hue8+xn7+O/I5fLCQ2NBKBmzXqsWLGDkpJcnnyyN6WlJWRmptC1a78qPQsVEudakpOTsFiMdOzY\nm6py5mPHvk5AQBCvvTaOtLQzTvMqvZtFmXQBnU5HQUE++flXUas1fPyx66agIwYNEr+Hxo3b4+Ul\nrhkcKYkPPfQsK1euJDc396ZMfSXanVwuv+3skGPmSyaTYbFYbjvz5U62/WYUjaX1q+Pv+EbPn3sB\n/3MB1c1kqBwzDOXl5faal3vJP6rq4l6pVN52lkSn01FYmM++fdswGKwUFhbbX2Tl5SWkpPxE167j\nCQmpa7/HbDZjs1XH01PNunWzndrz8tLi69sKMJKe/hMGQxFDh34JVOOFFx6271YaDHp27fqViIha\neHh4UKdOA3bt+vUPx1q/fjMKCjIAiIvbzNy5/RCEMmrU6IBK5Y/RmA9cJC7uPygUgYABpTKC3Nzb\np/1VzV5K9IW7ZdosLZZ9fHzQarW3lYX4+OOPK9oykZmZh8GQBRQTHFxpsHzq1O/IZAqqV680dRQV\n+wRq13Y24j1zJp7g4Bou/cTHH0ChUOHnVw2VSnS0P3QoluTkRLy9OwABqFQatFodEE529jUAPDzU\nyGSlgBGz2ZnGZzYb2bTpCywWGykpazCbd7Jx40QsllROnjxIenqy289ss1nZs2cDCoUHe/dudntN\ndHRLDhyoFKZwfKmo1Wp7EOvOH+Wfiqp1VqWlpX9KHb0Xd//+xd2DwWCwy/XfiOrnGDBVhaNIRVVz\nX6k2tKysDIPBQLVqlTRxR7GJgIBwFAoPLl5M4KmnenPtWnbFM1YUdgDIycmgUaOWWK0WlyyZ+Jw2\nceTIXsLDIxk9+iWWLp1NcvI5+yKx6th///03unTpR926jenV60E+/3waRqMBi8XiVK8E8NprH2I0\nmlm06C02bvyJqVOHEBVVi7VrT1G7dmuSkxMYOfJlXnppDvPnxyIIcvr0eYSaNaMxmfRMmtSTfv3G\nER+/n++/n8UPPyRQu3Y7nn++Cxs2LKp4Fnlgs1kpLs6mZs2GhITAbIaVAAAgAElEQVQ0YOLEzkye\n3JMzZyqN7fX6MrZt+56RI6chk7n+lvfuXY/FYmXgwBFuv++UlCR69hzq9tzhw79Rr15zunUbzLvv\nLmbVqmOsXZvAI488y5UrSQCMH/8AL774KDt3bsVqrXzGXLmSxn33dXbb7sGDv6FUqgkJCbN/FyqV\nqoI+bubAge2EhETYn1mOUutg4+DBHYSGhqNQKOz+n97e1VixYhdKJYwc2R2z2USnTu7LCwRBIDZ2\nPYGBocjlcnQ6HQaDHkf63UcfrSA9/QxgpUOHXlitVqffgmNgtWbNSjQaLyZPnsnvv28lJyfLtdMK\nLFr0KQqFJ7Gxa7HZxAyvIyXRy8uH++/vx9y5X9y0qa8j7e52s0NSO9IG41/JfIGzbLvVanUxLK4K\n6bNW/bz3SnlNVdybo74B/kzlz7E+ypGqdbv1UXdblMIdpF1CaXEvZdRuJ0sijT8lJYXQ0AhWrVqE\nTlfI5s2v8dZbMWzcOBe4hLd3AL17O9MK0tKSkMkU9Or1IomJP1dR1BGoV68HIEerDSU+/kt8fcMI\nDOxCcXERv/yyEsn5PCXlFG3aiLLqXbr0IzX11B+OeeDA4Vgseg4f/pmff36Vrl2foXbtARiN3tSp\n0wmNxo/AwI5cvx6Pj48CsKLR+ANWEhISbml+bqUW7W7BndqbJOt6I1TuMAVisxnx84vAak0HBFq1\nqsw8xcXtxs/PWcXp2LFdLop9ABkZF6hVqwFVkZBw2KmN7OxMPv54KuCFp2dT4Dpdu06kqOgiAQHd\n2LNnKwAlJVlYrSLN4LffFtvv37v3B956qzlHjiymYcOugI377pvK5MmbUamiUCi0bN68yu3nXr9+\nFVarifvu682ZM8fdXtOoUSsOHTrsctyRBqHVau11Vu7m+p+QoXIH6aXoSB11l+H8V5TiXzjiZql+\nUi1TVdxIpEIqdDcajahUKtLT0wkPj7RfI2WgpBqo8+cTCQgIYuXKPWg0HkyYMIjU1PP2+ier1UpZ\nWSEtWnR0ofpJYxQEgeTkkzRufB/Dhj1N06b38cYbYygvL7PT7CQkJyeh0xXw0EPPoFDImTRpFh4e\ncmbNmorBYMTDwzkj5OHhyYQJ77J58/d89dVrPPnkFD788Ac0Gi0zZiwiO/sKv/wiPsvq1o2hb99n\n2bFjDXPmbOKjjzYDNjZunIvFYmD//vVMntyb6dMX8MQTM/j66+mMHduOZ57pwqefPkW/fiNZuHA/\nn3++kTlzdqNWhzFt2iBGjWrO/v3r+eST8Wg0AQwd6iqHDrBmzZc0bNjR7QZxQsJBzGYzvXu7N75N\nT092ki0H0Gi8GThwFHXqNCQysjGvvPIJSqWFzz+fzODBjXn99bEcP36Y8nId3btXzRCJOHx4O6Gh\nUS7H5XI5KpWK1NTTxMQ0R6/XOz1zpcDq3Ll4mjS5z36PXC6v2BCX8803scjlIj29sPDGm6cJCQdp\n2bIDKpXot2i12irELwyAjbCwGoSFRVUEA/k3fFYKgsDevb/Stm0X2rTpTmhoOLNmveK2z/LyMk6c\n2MvUqR+i15fYs6bOlEQ5/fuPZMmSJeTl5d3S8/l2s0OOkHyg7kTmC5xl26saFlft92ZKUu4V/E8F\nVDfKUN1ufdR/G44Bm6Mct81ms0tz3gnp9pSUFMxmK/fd9xAzZpxm5swkBg9+j8OHvwSu8PjjC1zu\nuXAhCbXal3btnkQmg927VzqdLy4uAULIy7tCSspmCgrS6dbtRSCSZcs+w2IxotOVUlKSR//+or9Q\n795DMRh0pKWl3HCsTZu2AGRs3Pgm3bqNpXfvSdSt24zr1zNo2rQ3eXmXadSoGypVMwoLkwEbRUVn\nAS2jRo26qfmoOtf/hOylYxZCEAQXyXXHB5WoaigHlIAnjRo1xmQqRhDkdOhQKWF/9mw8ERHOmaik\npONOin1Ss3l512jcuJXLuC5cSCQiQlTlslqtvPjiMECga9f3uH79OFptFFeuxKJU+tGjx9PodPlc\nvHiBCxc2AkE0atSHI0e+w2w2Mn/+E2zZ8hZdu45mxoxTPPTQx4AnBkM2YWHRtGr1KApFM06fdh8s\nrVu3nLZtu9KtW1+yszOplNWtRI0adSgqKrIXALuDQqFAq9Xi4+Nzw7n+JwZUEv6ozkpSrKq66/pP\nfg7+i7sHaQEm+RLeSsAk3V9VpELa8RaVWiuzWhcvXiQsLNJ+n9FoqshoiW1mZKQQFibKeM+du5bG\njVswdeqjHD16AJvNxtmziQiCjIiI2m6ofqK0ukIhp6Agi27d+gPwzjsLkclsvPfeZBcvqp9+WkJo\naA18favZhSreeGMecXGxnDp1HIXC9Xlft240NpsNX19/Rox4zn48ICCIYcNeYOnSD9HpigF47rk3\n0WqDefvtkTRteh+TJy9AEGQMHjyWoKAapKae5NFH67By5RvYbBYuXz5LZuZpPvlkMxMnflIRzNmo\nV68hH374A4sWxRER0YIPPniWQ4c206GDe9pdUVEeaWlnGT36Zbfn169fQnh4A7d1TpmZaRgM5S6U\nPrPZhEwmcOFCIi1adKRLlwHMmbOajRuTeP75d8jPv8ybb44EYN26H+w1TY5ITj5No0b3uR2TzWYj\nL+8qPXs+iFKpwGDQo9fr7Yt5q9XK9etX6NFjcMX3rLAr6Yl0cjPe3sEoFHKeeaY/165lu/RhMpm4\nfj2TQYMeB0QREnEdJXlHiaa8+fnX0Gi8mDbtWW7kh5Sff53r1y/zxBMvolarmTbtU5KT44iPP+qi\n1vvtt/Pw8vKiW7eB9O49lB9++KJKayIlsVat+rRv34tFi76+rUzTrWaHHCGpeoL7zNftBlZVDYur\nyrZXpfs5ZifvRfxPBVQajaaiEF+ERO27WxmGu52hkoJBiZoo/WBUKtUdTYkmJCSQk3OVLl0qXxBt\n2z5aQZmDM2cOudyTmZmGv38wMpmMFi0Gc+jQt07nc3Iuo1Y3xmotJTq6J8ePf0Z6+mY0Gi02mwdz\n5rzBb79tRqXSEBQkUgBUKg0BAcFs2nTjOhmRXqDAw8OL3r0nAdCsWWcMhiLq1++A1WomLCwMvV7P\nyJFSIFiAp2cdLl5M/8N5cAykHGmg/6T0s+NulKOogrTYFwShQi69GlBEcHAMBw8uRKEIxGaz0KpV\nZb1SZuYlhwJeEZcupVK7trNin8ViRq8vc6mrAsjKukJ0tOhxNXv2ZIqL8/HwCCQ3twgw0qrVSFJS\nfqVWrT74+voSEVGL/ftjOXt2HRDCsGHvo9fnMmtWF3JzE5gyJZY+faYik8mIi/sdQQgiNXUPAJ06\n9UGvF7h+PYesrAynceTkZHHt2iXGjJlK+/ZdsFjMdsPhqvPXuHFLjhw58qdzLZlGSjt2EpVO8rH5\np8NdnVVxcbHTQgX+ran6/wyj0Wj/e3ZXGyVdIy1gq0JaPFYNxARBsAfv0rm0tDSCg0V6sdlsqRBZ\nqGzz2rUrREXVt8uaz5z5DQ88MJSPPprE1q2/cPz4QbRaH7dUP5NJDM7OnUsEICZGFNWRyeTMmvUN\nycnHWLfuR/sGkdVqJTHxdzp37utUr9GkSWtatbqfOXOmOlHZQFx0vv76KOrXb0JxcQG7d//idH7U\nqBfQagOZNevZir5lzJixnLNn49i5cw29ew+hU6dH2Lr1O778cievvbYCQVDw0EPPs2FDNj//fIka\nNZrx2msPcuTINnsNl+RlWL16DaZPX0i1ajXRav3YsWM5w4Y1ZOXK+U4ZnWXL3sfHJ5SGDZ2f7RJO\nnz7C/fe7V6XbtGkFfn5hTkIWjuqIhYV5TpktmUxGnz7D+frrrTRr1g6t1o/Nm79lyJDmvP3282Rl\nZdrnOy8vh65d+7j0CXDmTAJgo3Hj+1AolKjVou2IXi8q6MbHH0EQBOrUaexiGC0FVjk5l5gy5UOC\ngoIYO3Yg+fm5Tn3s2PErSqUHdes613iJ94sCS+fPn0GvL2XOnJ+4cuU8a9Y4bxRL+P77xfj5BdgF\nVmJimhMT04z582dUqN9WbsDt2PEz/foNB2DixDfR60v4+efvXNoUBIHhw8ezePFirl69etsUvpvN\nDkmQ1pnuaHfSWgO47fGAs2y7wWCwU9Kl4NgR9/IG3z9npXgHIBXDxsbGcvr0afsf9D8hw3ArkB5g\nUiT/V1XkbgQpINy6NZbIyA74+VX6ESUm7sFszsXPryP79n1OSkqc073Xr+cSFibW1PTtOx29/hrJ\nyUex2awVxY359Oo1DFCTk5PN5csHOHFiMXr9RUDPoUO/sXfvFmrVcs6QNG/ejvj4/Tcc808/LQGM\nTj/qatWCkckUXLiQiFYbRnr64QpjQF/CwhoBZjw9QwEb169fd2pPCrqlGoHbFfX4u+FOch0gOzsb\n8WfthyBY0OvzUSo9iIiohVYb6PQbKC4uoG3bLk7tFhTk0ry58y7i2bPxyGQKgoNDXcZRUlJIy5bt\niY8/yN692xAEJaGhXThzZjMQQkiIP2Vl12jZ8ilkMjnduw9Er09Hr9eh0YRhs8kQBA/0+uu89tp+\npzq9xMR4goPbodNdpbAwh4CAYFQqL/z8ojlwwNmsedmy+QQGhhAeHoVSqcDPL5jY2DVu565+/eZu\naX83guOOnaenp50idTtiITeDu5EBc8xwymQyzGbzHZXo/xf3HiwWiz1rCe7rFsxmMxaLxamWSIIj\nnc+damTVeqzU1DRCQyOxWm2YzSYX2l5paT716zexv/MAnnvuXR57bAJff/0uO3euJySkuss4pcBN\noVCwb992qlULqKjjEvupUyeGUaNe4vvvPyMj4yI2m42LF1MoKytiyJBRTqp+BoOB11+fg8mkY/78\nWU79zJ37HiZTGZ98soqePUcwb94bTgX8YoZrASdPHiQh4QAgZrT69RvLF19MRacr5rXX5uDrG87U\nqf3p0qUvL7wwj59/Xkhs7HdoNN4sXryDHj1G8957j7Nkydv2eZfq077+egYlJZl8+eVefvzxHL16\nDePnnz9jyJD6zJ//HuXl5ezZ8wsDB45y+52npiZSVlbKQw+5F6uIi9tD48aVm27SnCiVSg4dikWh\n8KB2bVdLDYD09Av07TuSdesSmDLlQy5fTuLpp7vx/POPsG2bWDvUpIkrywFg9+6t+PsHOWVJRLNf\nDTKZjJ07NxMQEILNZnOaE+m7O336BDabmc6dH+Dzz9fg7+/PmDEDKCqqNDLetWszUVF1XTuvgFwu\nZ8uWtQQHVyckJJxHHhnLypWfUVCQ53LtwYOxdOrU2+nY9Omfk5WVQnz8EVQqFQaDga1bN2Aw6Hji\niRcAUWVRzFLNcxHFANi0aS1Go5Fly5Y50fxvNtPkiD/LDklwVNlzh6qZr9sdD2Df4JNk281ms9MG\n5Y0ygvcK7t2RV0F5eTlLliwhLS2Nt99+m4KCApRKpZPnxN3CnVqQuKMmAneVmlhSUkJqairt2o1y\nOr5x40zk8mCiowcSHd2Fn356ySmI0elKqFVLfLCqVFqqV2/Ijh2LMBpNlJQUY7UaadmyA15eMWRl\nxdG163jq1OnOmDGHkMsbADJSUuLp0KGnU78DBjxGbu5ltya3ZWU61q9fQvv2D2A2lzuJGfj6+pOU\ndJwaNZqTmnoYH58AEhPjmDBhDSBQXHwK8GT06NGAq/S5+DlUdzxovduQFH98fER5+HHjxlWcUWOz\nGSguziAgoCU2W4kTvS8t7Rw2m42GDZvZj+n1ZRiN5U4eIiAqN3l7B7j0nZV1GavVQsOGTXnnnQmI\nqooWMjKSATMgcO7cD3h6BuLrK+5Mq9VatNpizGZvAgNDWbjwMRQKWYWfjKdT+1evXqRhw7ZoNNU4\ndEg09Y2MrENpqZqDB53l0w8f/o2+fR+2/7t27cacPOk+aIqJaXlLAZUEiUonGU3fjljIzeBuUgol\ns1ZJjtgxI/sv/v9AYj44ZjaqvsekTaabUfWrCqnY3HEDJy0tjdDQiIqMl9JJTMFkMmEylRMT09Ll\nGfzII+MZNWoK169nAM672SLVz4SHh/iOPHMmnjp1ou3vUqmfYcOepn79Rrz55jgMBgMbN/5EQEAI\nvr5+9rbMZvGdo1ZrmTRpBrGx33Pp0kVAtJLYufM/TJkyGw8PDyZNegtBUDJ3rnPdTOPGLWjV6gE+\n/HCC/ZkwceIbaLXBvPPOSGQyGZ9/vo6srEzmzZtK374PM2rUTL766jV27xbtQCZNep8XX1zEli0r\neOmlHhiNIusmNnYt27d/w/TpSwgOro5arebJJ99k1arzPProC+zd+yNDh9bBYDAwYIB7MYrVqxcQ\nElIHjcbb7XeWlXWZPn2G2I9ZLGasVhsKhZI9ezYRFuY+IBEX7Pn07DkIgB49HmTZsl3MnbsGQTAw\nf/50BEHOuXOn3d6fmHjUznRwhFTbeu5cPNHRTe3fa1UPqx07NhIYGGbfaPzqq434+GgZM2YABQX5\nSB5WNxKskBAfv5927brh5eXFyJHPExwcyrvvTnL6nVy9eoXCwhwee8xZOTg4uDrt2nVn/vx37P6l\na9Z8S+PGrTCbrfY6czFLVcratc5ZqtLSEjZs+JahQ59m6dJlFBQU2AMZi8Xyp5mmG+FG2SGpHUe6\n3x9Bynz91fFI36lWqwVAr9fbrUvg3hWkgP9CQKXX6+natSv33+9KH5Lw7rvvIpPJUCqV9v+GDBni\n9lqbzcaMGTOIiopiw4YNhIaGcujQITp37uwi33qncacWITcSP7gT9VF/hhUrVgB+1K7dwn7s7NkD\nlJRcwmptQM2adXjkkS8wGHLZuXMJQIUKkpH69WPs2bROnZ7lypVDyGQC588nIpOZWLt2FjJZGWDi\nwoVE0tN3UVJylcaNHwLqAUKFE3ol6tdvjFKpZNeurS5jXbjwYzQaL15+eRYg4+TJLfZzERF1uXLl\nPE2a9CQ//zI1atQjI+MsSqUSmcwbyAL82bt3n1vp83s5zQyVf4uxsb8BPnh6ivMaEBBFfn4ZRUXX\naNy40m/qyJGdFeITlZ85Pv4AcrknPj7VnNpOSUl0W0x89OhuVCpvZs58HqPRglwuw8+vKSCjWrVG\nQDaJiWuIiHAO0BSKLCCAoqLTFBZe4NVXd6NUerJv3yoMBj0WixmjUU95eTFt2nQhKqolSUminHGb\nNl0oKjKRlnYWna4EgISEYxgMpQwf/qy9jzZtOpOZeQl3aNCgKWfOJDrRg28V7iTL/0ws5J8CaRdQ\nEuHQaDR/ftO/+J+C0Wh0UvWrqswHYmZCKv6vij8SqZDOVcWlS+kEBYksiKr1ScnJZ5DJ5FSrFuiy\noLLZbPTv/xgymQcpKSf56ael9nOVRr1ie1lZabRo0cH+O3TsZ+bMrzEaS/j44zc5efIwrVt3cshO\n2Zykybt1G0jdujG8++5EAGbPnkb16pF07iwKLsjlCiZN+oBdu9aTmZnmNN7p0+dUbPDOBCqpf0lJ\nceze/TMBAcFMm7aYbdu+5/DhbQwf/ixDh77MJ59MIC5uJyaTiW7d+rN48WGys3N4/PEYVq9exBdf\nTGDEiJdo3/4BBAF7BkculzN48AR++CEJlcobhULBY4+15I03niEn56rT2I4f30fnzu5rrw4dikUQ\nZLRs2d4+J2LtnAeCAOfPJ9CyZSe39/7++3YUCk8iI2s5HW/QoBnz568nLCwKT08VL788nPHjh5KS\nct7puqysi3TseONg59q1DDp37odarQbEDXTHoOD06aM0btzKLqakUChYtGgTHh4yJkwYxvnzZykv\nL2bAgEdu2EdhYR6FhTk89NAYRK9FJe+99zUZGWdZt+4n+wbEjz9+Q0BAMAEBIS5tvPLKx5SUXGfd\nuh+5di2bzMzzTJjwBkqlh10mXS5X8sADw/jxx/lOWaqPPnodHx9fRo9+hfvv78enn84BnCl8JpPp\nhpmmP0PV7JCjqe+tsLfu1HikfiXmh06no6ys7N+A6mZhsVgYMWLEn7ogC4LAyJEjK3atxP9++eWX\nG14bEhLC3r172bx5MxqN5p75Qv7MiPdu12hZLBYWLPgKiyWc+Pij9uObNn1InTrtsdlEyoJKpaVb\nt+fYs2cuJpOB1FRR4U+hUFbI5cpo1mwgCoWSNWveZdOmyVitR8nOPkr16sEAZGTsw2AoZd26CURG\ntgI8AW+++24eeXnXnMYVFVWXPXu2OB3T68vZu3c9jz46AQ8PD5RKX44dq/ybaNCgNQUFmTRp0h2L\nxUh4eA3y80X+dnS0JMSgA0TX87stff7fwPnz5xGFGPzQasXdsGbNHiU6OpqionwnQYrExKOEhjq/\n/BISDrqo/oGNq1cvUbduQ6rizJk4fH0DOXJkNxpNM6zWYiAMrTYQmSycoKCuWK06jEZf+z1FRZcw\nm0sRxULiGDNmGT4+IdSp05YTJ9Yhl8sxmUwcPXoIhUJJQEAwbdqMIDf3LFarlSZNWgMQFFSPhAQx\ny7R69TIiI+vYPdJsNrj//u4YjQZycjJdxq1We1GzZh1OnDhxaxPsBu7EQv6qUfDfIXrhiP+Vv/9/\ncXMQ1fJEFoQji8MxoJKofp6enm7v/yORCoki5giTyUROTg5+foFuWQCnTp1Arda61FNITAKj0YDV\nauTpp6fyww+fsXr1igqqn9WuEijW25TQoUPvijosZ2aHSqVh2rQ5HD26jby8Kwwe/ERFH9hVfx3X\nDu+++xXXrqWzePFnnDt3hFde+dRpbF269CYqqinvvfes03G1WsOYMW+zYcO35OWJ4gh160bTp8/T\nzJ37MmVlpXTq1ItevUbzwQfPkJ+fwzPPvELPnqN5553HSEo6ioeHB+HhUXz//XEUCh+WLXudpk3b\n8eSTrzv1JQiicaxarebQoR0YDCWsWHGUt95aQlbWOUaNasdLLz3CxYvJnDt3Ap2uhBEjnnb5TgFi\nY/9DRESMPXPo6MNlNBopKLjOAw+439jet2+Ly/vEEdevZzNx4gwWL96Kh4eNF14YxNSpo8jLy+Xy\n5XTMZgMdO/Z2e+/p0/HYbBbateuOTCazv7ulLKvBYCAn5xK9ew+rmBNRFdDDQ8XXX/+K2azj1Vef\nxNvbD5BjMhlxlEqX8MsvP6HV+hASEm4/FhJSnaFDn2L58o8pLy+jvLycw4e307mz++DPy0tLv36P\nsHz5HL755nMCA0OoXTvGRSb9qadexmjU8Z//LAPEDOixY7E8//x7yGQCjzwykeXLlzuJJ0kUPinT\nVFRUdMuUbUc1W8nU93Y3Fv/qeCRlQUcRpXvV0FfC3xp5jB07lpiYGMaPH/+Hky4Vyd0sxo0bR3R0\ntMvxv0PW/Fb7cKSa/RUj3juBnTt34uHhg5dXdbZs+Y45c97k/Pk4CgrOcd99YxEEhT0t26PHiyiV\nCrZsmU9KShJqtWjWqlR6oFDIsdlseHpW4/Tp/yCXexMTM5EpU2IZNWoJQUFdAIGxY3/AZLrCpk1v\nA3JkshhA4J13JjqNq2PH3ly4cNLp2DffzEWt1tC373BsNhthYXXJyjprP9+4cQcsFjE49fIKoaTk\nIlarnry8XFq3lopoiwAbs2fP/p8KpCRMnz4d8UXhTV5eKkqlhuvXc4mJEZW1atSoZRckuHTpAvXq\nNXG6Pzn5NOHhdVzaLSzMp2lTV3WmtLRkcnIuAr40b94bQfCksPAqXbqMpbi4EE/Pq8jlXly+fJy8\nvMyKe3YSEtIMSAIiCAwUf7fdu79Abq5YUK5SqUhOTiQgIJjy8nLq1r0fsHL+/BEEQUZAQAhGoy9x\ncaKf1OnTh+nbd7jT2ETvK3+2b1/rdq6io1tw+PCt0/7AfcAjFfA61rTdrFFw1bb/DjjuzP+L/z+w\n2SoNfK1Wq51W7hhQSUHRjRY3UvDhbldbymoplUqn2ojLly8TGBiMSqVx8U0Sa5rOUq1agEt/UqYp\nMTEBuVzJsGFPM27c66xc+QkbNvzHKTj7/fd9KJUe+Pj4uQRHUltNmtxHdLRYxyNlyyRam1LpXCfm\n7x/E8OHP8MsvCwkPr0mDBs2oinfemceVKxddnjODBz9KaGhd3n13lP3YCy+8g1rtz4wZTwIwefL7\nBAXV5eWXB2C1Wpk8+QNatuzPW289zOXLKezatYnRoztSUnKVli0f4NSpQ3zyyXO4gyAILFnyDvfd\n1w0vLx+aNevE11/v5ZNPfsZgyOe553oybdqjBAXVckv3A7FWVpJLF324Kmvn9u3bjEKhumEN0rlz\nJ2natJ3bc1lZlzCZDHTu3JMaNWozb94vfPrpj1y/nsETT3Rm1qyX8PGp5rZOD2D79o34+wc7BdvS\nIlylUnHs2CEEARo2bOFCBdRotHz11SYMhlJAjkrlidFoRKfTVVA8K6/fv3+by3vOZrMxZsxU/Pyq\nMWPGZPLyrlFams+gQU+g15djtboyEsaPfwMws3//BgYNGulwppLqplaLtVQ//vglFouFjz56jerV\na9KyZScEQUZQUBg9egxl9uyPXNqXMk0ajcaeabqdwEryXwTxd3u7pr63O56qkun3sqGvhL9tBT9t\n2jQEQeDDDz/804kWBIFVq1ahVqupWbMmb7zxxk33o1AonOpv/ikLBolSIFHN7pbQxK3gm2+WUq9e\ndxo2bMFrr32G1Wpg+fIp+PvX4vr1QlQqr4qxi6pM7ds/RVzcSjIzL+HvH1pBSRSV9+bNG05ZWS5g\nw2KpQ716lXzoQYMmAxaKiopp1Kg3tWrVAcxYrUaUykDS0s6SnFzJre7bdzjl5cVORnl79qxn0KDH\n7P9u374LRmMpOl0RAJ6eapRKDSdPHiEiohmpqYdRqbQcP36AOnXuQ/xTVwA2FixYePcm9b8IMUBQ\n25W0hg37jOTkBPT6HHx8QvD29kYQBMrKysjPz6VFC+cXYFbWZerXdw6yyspKMJsNtG7dnqq4evUS\nIHD//W9y/vw6FIowtNogwsMbYzIZ0OlOERzckqCgWmzbNheAK1f2k5FxGkFQ4ePTil9++RGAqKhW\nKBSeHDu2CRC4cuUides2wtPTE5vNhr9/DX7/fV1F3VcLirjhUwMAACAASURBVIpsxMUd4Nixg5hM\nevr3r3S1lwKe2rUbcuzYPrdzFR3d4rbqqP4MUk1bVaPgW+Wa/92y7P9rmwv/wj0kxofkYSh974Ig\n2AMqMTMhd7u4kYrI3S1+HbNaVQP21NRUQkLC3UqRm0wmsrMz7CJHEqxWq13xLzExHm9vcfE3cODj\nPP748yxd+gH79u2wX3/s2EECA0OcRC0c26qk44rvgenTx7vQ2qpiyBAxm+Pp6eN6EjGD0avXYyxc\n+LbLYvSdd74iNfUM+/eLJuOnTx8nJqYtJ08eZMyYbjz//IOo1Vqys9MZObIFb745htLSIqxWG+PG\ntefTT8dQq1YUP/54hvffX8mMGWvZt28zzzzTntLSQqe+tm1bS2HhZV5++Qt7oGGxWKhduwnz58ey\ncOF2jEYdubkXGT26F4cP73W6PyvrMjpdMYMGjajI2Dn7cO3evZEaNVw3raW5zc/PoVcv975W27f/\ngrd3IB4eldnORo1asXz5LiZPfp/Ll89RUlLMzp2/utxrNptJTIwjJsY1mAVxI2D//t8IDQ3HYrFW\nCB1UsgMEQaBatUBsNoHS0gI+/PB1VCo1Hh4edj9Pi8WMxWLm6tVUBg9+sspnE5+VM2cu5ty5Y3z8\n8XSCgsIIC4uwv0v1+nIn6p5CoaBDhz7YbDYGDHgMV4gy6RMnvoXVauSzz97jzJnDTJkyu4KOLU76\n8OHjWbXqP6Snp7u24JBpUqvVlJWVOdUh3Syk36mPj89fMvW9nfFUlUyX2rmX30V/S0C1dOlSkpOT\nWbx48Z9fDEycOJGCggJ0Oh3r169n3bp1zJ0796bu9fLyorS0FPh7Fgl/lqGqKjQhpatvRWjibgSF\naWlpnDp1Co0mCn//UHx8qjFhwpvAVfLztSQmxuHjE4jZbKmoc7LRs+dLgIns7BNUry6+/KxWGwsW\njKSg4BzTpu3B09MXqzXHSY5bpIt5ERv7NZ06jSIv7xgQCVhQKmMAGbNnv2q/Xqv1wcenml0+fceO\nLRiN5QwfPs5+Tbt2HQEZs2YN5bff1gEQGBhKcnICMTFduX49naCgcC5eTKygRIQi0gzBYrlzAgL/\nFGzaJAYi4Ed+fhygQKn0oUGDBpw/n0BkZAP7rpTFYsJsNtKoUQunwvTi4gJat+7g1G58/AEUChVa\nrfOuplQMDoFER/clPz8Zo1FOx45Pce3a1Yr20qlX7wH69HmF0tLLpKYeIzv7JCZTLpGRw+ncuS/n\nzsXZd/nCwxty/PgGbDYrpaX5tGjRwU7xqFevI1euHEev19OmTVf0eivl5WX89NM3REXVdbvAa9Om\nMxkZqW7nKyamJUeOHL2t39bNUPIcXzBardYuX+uoqna7bf9VuPOh+hf/+7BaxQWnJDHuuJiR6o0t\nFov9PVUVNyNS4RhMSW2KGaiLhIREuM1ASQvyqChnxVdpnDKZjLS0ZIKDq9vvGTJkFEOGPMWnn04l\nIUGkq6eknCEqqr7LJqX0DpYyZ2lpZxg48HFSUhJYs+Y7O63NHb799gs0Gi1paac5fvx3t9e8+OIb\ngIJ5815zOh4ZWZsuXR7mo4+eZ9Cgerz++lAuXPgdH58grl49i7+/Gj8/FeHh9SgouEp6+hE8PIz0\n6DGUwMA6eHlpmTZtkb2mtXXrTixffgy93srIkc05d+64fT4WLXqd3r0fsV8rk8lQqVR4enpiNps5\nf/4cMpmCb7/dR1hYCDNnjubxx++3BzG//PINfn5h+Pj4YTIZkckEpzm5cOE0bdt2c/v54+L2IggK\noqMbuz1//Pg+atVypYwD9Oo1FKXSg3r1GjNnzstMmPCQ3UNK/N4MXLuWTvfug9zeD3DmzFGaN29v\nF5Uymcx2BTmbzcaxYweRyQQ++mgZhw79yrffzquYHzUKhZLycj2bN/+MQqGgefOqWTZpcy6a3r2H\nkJJygi5d+iIIMjw9VXh5iZvOOp0Og0GPlPFKTRU9MOfMefeG41YqPRg6dBQ7dvxAREQUUVHRTu8j\nP78ABg4cyXvvzbhhG9J7xrEO6VYyTdImivT38ldNfW92PNKzpqoH1b1SrnMj/C2jT0pKYtu2bXh5\neaFWqxk7diyHDh1Co9FQUlLicn1QUBBarbbC46gF48aNY+tWV5ECd9BoNE7mvv+tDJXkaST9UUpG\nvLdCNbubC53vvvuezp0fIisrh8BAsW5m27b5eHn506bNELKzL+HpKT4sPDyU9hdwy5ZDMBiS7S+/\nVave5Nq1eCZN+hUfnxCCgxsC19BotE79Va/emsLCc0RGNgcUyGR6vLz8KSsrQBA8ycnJ4Ny5Sppf\nw4bNiIsTswurVy+mefN2TovmunXrIQgaAgK07N37PR9/PInQ0Ciys1No0qQnZrOB8PBIrl0TVZrq\n178fMAEegJWdO51V4u51iGa+AF6Yzbn4+tYkKekwnTt34vLlizRt2tZ+7ZEjO/Dw8CIoKNjuNn/p\nUipWq4UmTVo6tXvy5BF8fYNc+luw4D0ABgyYz4ULG7DZZHh6BhMV1ZqMjFQUCh0Wi5F69frg5VWN\nsLAYDh6cj8ViRS6vQ4MGot+LTCZj9+5tALRuPYyrV+M4f/4MgiAQGVnb3l/r1g9RUnIZT08P/P0D\n8fBQo9FEcP58PD16VN0ZtSEI0KPHAMrKSiktLXYZf0hIODabjUuX3AtX3Ek4GgVLXlCOPiV/N/6O\noO1f/LMg1ZtIRehVNyAkyp9er78tqp+7rJbUpsFgICPjsj1z7jgmk8mEUqmktLSABg0qN+EcpdAB\nsrMvUbNmXad7xox5hS5d+vL222NJT08lN/cyzZu3dVmUmc0WQKyrKSzMR68v4fHHn2P48GdZseIT\n8vJyudEyYe/ejQwZMoo2bbry0UeT3S4w5XIFzz8/kx071pGVddl+PC7uEIcPb8FiMVGjRhQbN6by\n/fdH+emneLy9Q7Babbz//iq++WYfvXqNobi4kGnTFjFlyjyWLt2DShXIuHH321X+QDQQXrnyME2b\n9mLKlH78/PMCPvnkFWQyM88996GbsclRqVRs2LCU6Ojm+PkFMWPGCn78MY7o6Bg+++xFHnmkLbt2\nradly652g2RJnAOgtLSYkpJC+vYd5naOdu/e4GQGXxUZGam0a9fd7bm8vByMRj0ffLCMb7/9DYul\nlNGju7N8+QKMRiMpKeewWs20bev+fpPJRF7eVfr1e8ROGZMCK6PRiF6vZ+vWdYSHR9KkSRumTp3N\nunVfs3XresCGXC6qAu7atZlatRpQXu5I47M5PSsHDRoFQHp65TtDEMTATKPRYLXaKC0tJScnm4yM\nc4waNYVDh351YtpURb9+IrOiVq0mdsENnU5XYYxsY+jQZ4iN/Y3ExMQbtiGOo5LCdyuZJknhzzFT\nXdXU93ZUbP9sPJIKqDvvq3sZf8voP/30U7s5bXl5Od988w0dOnSgrKwMb2/3fF5HlJSUEBTkuqhz\nBy8vL3tA9XctGhw19CWPmvLycv6p5rAWi4Xvv/+B4OD6ZGSkExgYis0Gp0//QqtWD9O//+PIZAoy\nMpK4fj3HaR579HgJKEGlsnDkyEZOn/4Po0Ytwd9fzFh5ezcH8tHry5z6HDbsTcDAuXNHUanqIJen\n0aLFgwDYbIGAjEWLKl8IPXsOJTMzhby862RmXmDMmKlO7clkAv7+Eeh013j55a+Bck6c2Etp6XXU\nai/U6kBstgLKywswm820b/8wYMLbW9wpe+45Zy7632XSfDdgNpspKioC5CgURYBA3bodOXv2GG3b\ntqWkpJBOnSrl6RMSDhIYKC5uJE53QsIBPD21GAwGp6Ld1NQkwsJci403b/4BCCQ8vBlJSasBX9q2\nFRWUcnKuIJen4uUVYZdC79x5LOXlF1EqPbFYqtO0aUsEQaBZszYcOPAbAK1aPYzZXM6BA5vw83OW\naY+MbIZMJiMpSRSrqFGjFsXFMsxmIz16POjChwfw9w/A01PLrl0bXcYvCAKNGt2cwW9V3G5A4ihg\nIZkyV+Wb/xvs/Iu7AcnXsHKx7J7yWVXqXMIf+VHdKKslmftaLBYyMi4TEuIcUJnNZnvQZTbradRI\nrG2SgibHTFNRUS4NGjSz3yON8ZVXPiYmphlTpjyKwVDqImwgeVGJ2SkFv/22sYIB4cfw4c9SvXoN\n3nxzfEVGw+IUWB08uAeTqYzhw8cyffpnGAwlLFr0sdv57dGjHzVqNGTGjGcAWL/+B95+eyTt2nVh\n6tQFpKWdIyfncsUcC7z77hLi4/dx5MhvWCxmxo9/g5CQekyZ0h+r1YpS6cHXX8diMglMnNjVaUEr\nkwnMmLGY0aM/4NtvZ7J373dMnTrvhvUnhYX5pKcn8Mwzb9gDDU9PNdOnf8Xq1Qk0b94ana6Yw4e3\nsGrVUhd14S1bfkSt9nXrQwhw5sxxmjRxXz+Vn5+LXl9Gjx793Z7fvn0dXl7V8PLSEhZWk8WLY3n2\n2WmsXbuQZ54ZwMaNq/D3D77h+mnfvu0olUrq1KnMgEmBlcgEUpCUdIyWLTthtVrp1m0gjz/+HF9+\n+RanTh1HZHXYSE09RZ8+Q5HJKml8Fou1Yh7EufjPf5bi7V2N48d3cfKksy+nTCav2DTX8N13i/Dx\n8WPYsKcJC6vBBx84S+s74osvZqBSaTh0aBt6fbndZNhisVBaWopS6cnw4eN5/fWbK3uRKOdVM003\nCqxupPDnaOorqdjebmBVdTylpaV2dU5319/L+K+s8qsuLHv06MGCBQvs/3711Vc5fvw4BoOBo0eP\nsmjRIh5//PGbatvLy8tucuqurzsNaSFuMpnsQhNSfdSdEJq4Gwv9H3/8kezsqyxbNp1r19axePEj\nbN26AJOpmK5dn7cXFIeEhLFw4ayKVLaIrKwcwIvt2+exceM0unYdS506lTSxwkIDguDB4cPORbrV\nq0cCKn799Wt0OhVW61UiImIAOT4+MYBIKygsFE302rbtis1m5bPP3sbX15+oqEozQbGmy0yzZ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AUlJSqwiT2LBYzPZN8pMnD9C9+0AsFjOlpTo6d+5H3boxvPVWZQbTYjGTlHSUESPGOfUXEBBC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nv3Hxk1KhGVyhuojkzWieefv05k5CKgLRpNA9RqVyAWyESl8kWtDsHFJRg/vxAUigigJUZj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\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33htN1apNmD59AIGBtRk8eBxmsxmj0WSFAopEYn766TuCgmrh4OBIYaFtlCk5+R6tW5fo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\nrVr1JSZmiuglpdfrKV++Ih07+rF8+WRSUp5neI369d9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ePb/GxUXJ1as/c+PGBe7cuY2H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\nhepmvUaNGmzevBl/f39GjhxJYGAgjx8/NjvGVHhJUNBNP3+p1Wq7FqIAmDV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"text": [ "" ] } ], "prompt_number": 53 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Animaciones\n", "\n", "Matplotlib tambi\u00e9n incluye una API simple para generar animaciones a partir de secuencias de figuras. Usando la funci\u00f3n `FuncAnimation` podemos generar un archivo de video a partir de una secuencia de figuras. La funci\u00f3n usa los siguientes argumentos: `fig` un marco de figura, `func` es una funci\u00f3n que definimos y que actualiza la figura, `init_func` es una funci\u00f3n que definimos para configurar la figura, `frame` es el n\u00famero de cuadros a ser generados, `blit` le dice a la funci\u00f3n que s\u00f3lo actualize las partes del cuadro que han cambiado (lo que produce animaciones m\u00e1s suaves):\n", "\n", " def init():\n", " # define figura\n", "\n", " def update(frame_counter):\n", " # actualiza figura con nuevo cuadro\n", "\n", " anim = animation.FuncAnimation(fig, update, init_func=init, frames=200, blit=True)\n", "\n", " anim.save('animation.mp4', fps=30) # fps = cuadros por segundo (frames per second)\n", "\n", "Para usar estas opciones de animaci\u00f3n debemos importar primero el m\u00f3dulo `matplotlib.animation`:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from matplotlib import animation" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 54 }, { "cell_type": "code", "collapsed": false, "input": [ "# resuelve la EDO del p\u00e9ndulo doble\n", "\n", "from scipy.integrate import odeint\n", "\n", "g = 9.82; L = 0.5; m = 0.1\n", "\n", "def dx(x, t):\n", " x1, x2, x3, x4 = x[0], x[1], x[2], x[3]\n", " \n", " dx1 = 6.0/(m*L**2) * (2 * x3 - 3 * cos(x1-x2) * x4)/(16 - 9 * cos(x1-x2)**2)\n", " dx2 = 6.0/(m*L**2) * (8 * x4 - 3 * cos(x1-x2) * x3)/(16 - 9 * cos(x1-x2)**2)\n", " dx3 = -0.5 * m * L**2 * ( dx1 * dx2 * sin(x1-x2) + 3 * (g/L) * sin(x1))\n", " dx4 = -0.5 * m * L**2 * (-dx1 * dx2 * sin(x1-x2) + (g/L) * sin(x2))\n", " return [dx1, dx2, dx3, dx4]\n", "\n", "x0 = [pi/2, pi/2, 0, 0] # valores iniciales\n", "t = linspace(0, 10, 250) # tiempos\n", "x = odeint(dx, x0, t) # resuelve la EDO" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 55 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Genera una animaci\u00f3n que muestra las posiciones de los p\u00e9ndulos como funci\u00f3n del tiempo:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig, ax = subplots(figsize=(5,5))\n", "\n", "ax.set_ylim([-1.5, 0.5])\n", "ax.set_xlim([1, -1])\n", "\n", "pendulum1, = ax.plot([], [], color=\"red\", lw=2)\n", "pendulum2, = ax.plot([], [], color=\"blue\", lw=2)\n", "\n", "def init():\n", " pendulum1.set_data([], [])\n", " pendulum2.set_data([], [])\n", "\n", "def update(n): \n", " # n = contador de cuadros\n", " # calcula las posiciones de los p\u00e9ndulos\n", " x1 = + L * sin(x[n, 0])\n", " y1 = - L * cos(x[n, 0])\n", " x2 = x1 + L * sin(x[n, 1])\n", " y2 = y1 - L * cos(x[n, 1])\n", " \n", " # actualiza los dato\n", " pendulum1.set_data([0 ,x1], [0 ,y1])\n", " pendulum2.set_data([x1,x2], [y1,y2])\n", "\n", "anim = animation.FuncAnimation(fig, update, init_func=init, frames=len(t), blit=True)\n", "\n", "anim.save('animation.mp4', fps=20, extra_args=['-vcodec', 'libx264'])\n", "\n", "close(fig)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stderr", "text": [ "/usr/lib/pymodules/python2.7/matplotlib/animation.py:695: UserWarning: MovieWriter ffmpeg unavailable\n", " warnings.warn(\"MovieWriter %s unavailable\" % writer)\n" ] }, { "ename": "AttributeError", "evalue": "'str' object has no attribute 'saving'", "output_type": "pyerr", "traceback": [ "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m\n\u001b[1;31mAttributeError\u001b[0m Traceback (most recent call last)", "\u001b[1;32m\u001b[0m in \u001b[0;36m\u001b[1;34m()\u001b[0m\n\u001b[0;32m 25\u001b[0m \u001b[0manim\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0manimation\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mFuncAnimation\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mfig\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mupdate\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0minit_func\u001b[0m\u001b[1;33m=\u001b[0m\u001b[0minit\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mframes\u001b[0m\u001b[1;33m=\u001b[0m\u001b[0mlen\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mt\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mblit\u001b[0m\u001b[1;33m=\u001b[0m\u001b[0mTrue\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 26\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m---> 27\u001b[1;33m \u001b[0manim\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0msave\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;34m'animation.mp4'\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mfps\u001b[0m\u001b[1;33m=\u001b[0m\u001b[1;36m20\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mextra_args\u001b[0m\u001b[1;33m=\u001b[0m\u001b[1;33m[\u001b[0m\u001b[1;34m'-vcodec'\u001b[0m\u001b[1;33m,\u001b[0m \u001b[1;34m'libx264'\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m 28\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 29\u001b[0m \u001b[0mclose\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mfig\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n", "\u001b[1;32m/usr/lib/pymodules/python2.7/matplotlib/animation.pyc\u001b[0m in \u001b[0;36msave\u001b[1;34m(self, filename, writer, fps, dpi, codec, bitrate, extra_args, metadata, extra_anim, savefig_kwargs)\u001b[0m\n\u001b[0;32m 710\u001b[0m \u001b[1;31m# since GUI widgets are gone. Either need to remove extra code to\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 711\u001b[0m \u001b[1;31m# allow for this non-existant use case or find a way to make it work.\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m--> 712\u001b[1;33m \u001b[1;32mwith\u001b[0m \u001b[0mwriter\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0msaving\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mself\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0m_fig\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mfilename\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mdpi\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m 713\u001b[0m for data in itertools.izip(*[a.new_saved_frame_seq()\n\u001b[0;32m 714\u001b[0m for a in all_anim]):\n", "\u001b[1;31mAttributeError\u001b[0m: 'str' object has no attribute 'saving'" ] }, { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 56 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Nota: Para generar el archivo con la animaci\u00f3n se requiere tener instalado el programa `ffmpeg`. Puede instalarlo (Mint/Ubuntu/Debian) usando:\n", "\n", " $ sudo apt-get install ffmpeg\n", "\n", "o bien\n", "\n", " $ sudo port install ffmpeg" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from IPython.display import HTML\n", "video = open(\"animation.mp4\", \"rb\").read()\n", "video_encoded = video.encode(\"base64\")\n", "video_tag = '