{ "metadata": { "name": "" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "raw", "metadata": {}, "source": [ "Texto y c\u00f3digo sujeto bajo Creative Commons Attribution license, CC-BY-SA. (c) Original por Lorena A. Barba y Gilbert Forsyth en 2013, traducido por F.J. Navarro-Brull para CAChemE.org" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "[@LorenaABarba](https://twitter.com/LorenaABarba) - \n", "[@CAChemEorg](https://twitter.com/cachemeorg)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "12 pasos para Navier-Stokes\n", "=====\n", "***" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Hasta ahora, todo nuestro trabajo ha sido en una dimensi\u00f3n espacial \"*x*\" (Pasos [1](http://nbviewer.ipython.org/urls/bitbucket.org/franktoffel/cfd-python-class-es/raw/master/lecciones/01%2520-%2520Paso%25201.ipynb) al [4](http://nbviewer.ipython.org/urls/bitbucket.org/franktoffel/cfd-python-class-es/raw/master/lecciones/05%2520-%2520Paso%25204.ipynb)). Podemos aprender mucho con s\u00f3lo 1D, pero vamos a crecer hasta [flatland](http://es.wikipedia.org/wiki/Flatland,_romance_of_many_dimensions): el mundo de las dos dimensiones.\n", "\n", "En los siguientes ejercicios, se extienden los primeros pasos descritos (del 1 al 4) a 2D. Para ampliar las f\u00f3rmulas de diferencias finitas de derivadas parciales de 1D a 2D o 3D, s\u00f3lo se aplica la definici\u00f3n: una derivada parcial con respecto a $x$ es la variaci\u00f3n en la direcci\u00f3n $x$ *manteniendo constante* $y$.\n", "\n", "En el espacio 2D, una malla rectangular (uniforme) se define por los puntos con coordenadas:\n", "\n", "$$x_i = x_0 +i \\Delta x$$\n", "\n", "$$y_i = y_0 +i \\Delta y$$\n", "\n", "Ahora, define $u_{i,j} = u(x_i,y_j)$ y aplica las f\u00f3rmulas de diferencias finitas en cada variable $x,y$ *actuando de forma separada* en los indices $i$ y $j$. Todas las derivadas est\u00e1n basadas en la expansi\u00f3n de Taylor EN 2D de un punto de la malla con el valor aproximado de $u_{i,j}$.\n", "\n", "Por lo tanto, para una derivada parcial de primer orden en la direcci\u00f3n $x$, la f\u00f3rmula de diferencias finitas es:\n", "\n", "$$ \\frac{\\partial u}{\\partial x}\\biggr\\rvert_{i,j} = \\frac{u_{i+1,j}-u_{i,j}}{\\Delta x}+\\mathcal{O}(\\Delta x)$$\n", "\n", "y de forma similar en la direcci\u00f3n $y$. As\u00ed, podemos escribir la forma diferencial con diferencias finitas hacia atr\u00e1s, hacia delante o centradas para los siguientes pasos. \u00a1Vamos a ello!" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Paso 5: Convecci\u00f3n lineal en 2D.\n", "----\n", "***" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "La ecuaci\u00f3n diferencial parcial (EDP) que gobierna la convecci\u00f3n en 2D es:\n", "\n", "$$\\frac{\\partial u}{\\partial t}+c\\frac{\\partial u}{\\partial x} + c\\frac{\\partial u}{\\partial y} = 0$$\n", "\n", "Esta es ex\u00e1ctamente la misma f\u00f3rmula que con la de Convecci\u00f3n lineal en 1D, salvo por el hecho de que ahora tenemos dos dimensiones espaciales ($x$ e $y$) a tener en cuenta a la hora de avanzar en nuestra soluci\u00f3n en el tiempo.\n", "\n", "Una vez m\u00e1s, el paso de tiempo se puede discretizar como una diferencia hacia adelante y los incrementos espaciales se pueden discretizar como diferencias hacia atr\u00e1s.\n", "\n", "Con las implementaciones en 1D, utilizamos sub\u00edndices $i$ para denotar movimiento en el espacio (por ejemplo, $u_{i}^n-u_{i-1}^n$). Ahora que tenemos dos dimensiones para tener en cuenta, hay que a\u00f1adir un segundo sub\u00edndice, $j$, para contabilizar toda la informaci\u00f3n en el espacio.\n", "\n", "Aqu\u00ed, vamos a volver a utilizar $i$ como el \u00edndice de nuestros valores $x$, y vamos a a\u00f1adir los sub\u00edndices $j$ para nuestros valores de $y$." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Con esto en mente, nuestra discretizaci\u00f3n de la EDP ser\u00e1 obtenida de forma directa. \n", "\n", "$$\\frac{u_{i,j}^{n+1}-u_{i,j}^n}{\\Delta t} + c\\frac{u_{i, j}^n-u_{i-1,j}^n}{\\Delta x} + c\\frac{u_{i,j}^n-u_{i,j-1}^n}{\\Delta y}=0$$\n", "\n", "Como antes, despejando para la \u00fanica inc\u00f3gnita:\n", "\n", "$$u_{i,j}^{n+1} = u_{i,j}^n-c \\frac{\\Delta t}{\\Delta x}(u_{i,j}^n-u_{i-1,j}^n)-c \\frac{\\Delta t}{\\Delta y}(u_{i,j}^n-u_{i,j-1}^n)$$\n", "\n", "Resolveremos esta ecuaci\u00f3n con las siguientes condiciones iniciales\n", "\n", "$$u(x) = \\begin{cases}\n", "\\begin{matrix}\n", "2\\ \\text{para} & 0.5 \\leq x \\leq 1 \\cr\n", "1\\ \\text{para} & \\text{cualquier otro sitio}\\end{matrix}\\end{cases}$$\n", "\n", "y condiciones de contorno:\n", "\n", "$$u = 1\\ \\text{para } \\begin{cases}\n", "\\begin{matrix}\n", "x = 0,\\ 2 \\cr\n", "y = 0,\\ 2 \\end{matrix}\\end{cases}$$" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#Representa las figuras en este mismo notebook:\n", "%pylab inline\n", "\n", "import matplotlib.pyplot as plt\n", "from mpl_toolkits.mplot3d import Axes3D ## Nueva librer\u00eda requerida para proyecciones en 3D\n", "\n", "import numpy as np\n", "\n", "### Declaraci\u00f3n de variables\n", "nx = 81\n", "ny = 81\n", "nt = 100\n", "c = 1\n", "dx = 2.0/(nx-1)\n", "dy = 2.0/(ny-1)\n", "sigma = .2\n", "dt = sigma*dx\n", "\n", "x = np.linspace(0,2,nx)\n", "y = np.linspace(0,2,ny)\n", "\n", "u = np.ones((ny,nx)) ## crea un vector 1xn de unos\n", "un = np.ones((ny,nx)) ##\n", "\n", "### Asignaci\u00f3n de las condiciones iniciales\n", "# Sse establece una funci\u00f3n de sombrero como tal\n", "# u(.5<=x<=1 && .5<=y<=1 ) is 2\n", "\n", "u[.5/dy:1/dy+1,.5/dx:1/dx+1]=2\n", "\n", "### Representar condiciones iniciales\n", "fig = plt.figure(figsize=(11,7), dpi=100)\n", "##Los parametros figsize pueden se usados para cambiar el tam\u00f1o y resoluci\u00f3n\n", "\n", "ax = fig.gca(projection='3d') \n", "X, Y = np.meshgrid(x,y) \n", "surf = ax.plot_surface(X,Y,u[:])" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Populating the interactive namespace from numpy and matplotlib\n" ] }, { "metadata": {}, "output_type": "display_data", "png": 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5esSAo+Ye57meL2JZz7B//x7uv38X99//ODfccAswTiIxwtKlh7B+/UpOP/10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qoORNLYcOGmskYQiZ1oPQtjvkXkRkRG4Z17kdMjWgYWY8nJAh/J8xuBBhBfkud3gF4A/JvohN9G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\nyBtvvMGQIUNkKicItSCCTmg0K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"text": [ "" ] } ], "prompt_number": 1 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Notas de representaci\u00f3n de gr\u00e1ficos en 3D" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Para representar un resultado en 3D, aseg\u00farate de que has agregado 'Axes3D' proveniente de la librer\u00eda `matplotlib`." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ " from mpl_toolkits.mplot3d import Axes3D" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Los comandos para representar 3D son un poco m\u00e1s complicados que con 2d." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ " fig = plt.figure(figsize=(11,7), dpi=100)\n", " ax = fig.gca(projection='3d')\n", " surf2 = ax.plot_surface(X,Y,u[:])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Con la primera l\u00ednea se est\u00e1 creando una ventana con la figura. Los **figsize** y **dpi** son comandos opcionales y simplemente especifican el tama\u00f1o y la resoluci\u00f3n de la figura que se reproduce. Se puede omitir, pero todav\u00eda se necesita el\n", " \n", " fig = plt.figure()\n", "\n", "La siguiente l\u00ednea asigna a la figura la etiqueta ejes 'ax' y tambi\u00e9n le especifica que ser\u00e1 una gr\u00e1fica de proyecci\u00f3n en 3D. La \u00faltima l\u00ednea utiliza el comando\n", " \n", " plot_surface()\n", "\n", "que es equivalente al comando normal de representar figuras, pero se necesita una malla de valores de `X` e `Y` para las posiciones de los puntos de datos." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#####Nota\n", "\n", "\n", "Los valores de `X` e `Y` que representas con `plot_surface` no son vectores de `x` e `y` en 1D. Para usar las funciones 3D de matplotlib, necesitas crear una malla de valores `x, y` que corresponden con cada punto de la base. Las coordenadas de esta malla se generan usando la funci\u00f3n de numpy `meshgrid`.\n", "\n", " X, Y = np.meshgrid(x,y)\n", "\n", " " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "###Iterando en dos dimensiones" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Para evaluar la onda en dos dimensiones se necesita el uso de varios bucles `for` anidados para cubrir todos los indices `i` y `j`. Dado que Python no es un lenguaje compilado, puede haber notables ralentizamientos en la ejecuci\u00f3n de c\u00f3digo con m\u00faltiples bucles for. Primero, trata de evaluar el c\u00f3digo de convecci\u00f3n en 2D y observa qu\u00e9 resultados produce." ] }, { "cell_type": "code", "collapsed": false, "input": [ "u = np.ones((ny,nx))\n", "u[.5/dy:1/dy+1,.5/dx:1/dx+1]=2\n", "\n", "for n in range(nt+1): ## Bucle para los incrementos de tiempo\n", " un[:] = u[:]\n", " for i in range(1, len(u)):\n", " for j in range(1, len(u)):\n", " u[i,j] = un[i, j] - (c*dt/dx*(un[i,j] - un[i-1,j]))-(c*dt/dy*(un[i,j]-un[i,j-1]))\n", " u[0,:] = 1\n", " u[-1,:] = 1\n", " u[:,0] = 1\n", " u[:,-1] = 1\n", "\n", "fig = plt.figure(figsize=(11,7), dpi=100)\n", "ax = fig.gca(projection='3d')\n", "surf2 = ax.plot_surface(X,Y,u[:]) " ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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LFvD4449zyimnsGjRIlc+pxt03pNZcA0nFatWIeKmR6kTUOuXzWaB8RW/XiLtADannAfB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wAAAg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\najNdXLx40dV0kZiYWKfpQlEUjylefaYLY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"text": [ "" ] } ], "prompt_number": 2 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Operaciones vectorizadas (*Array Operations*)\n", "----------------\n", "\n", "Aqu\u00ed el mismo c\u00f3digo de convecci\u00f3n en 2D se ha implementado, pero en lugar de usar bucles for anidados, los mismos c\u00e1lculos fueron evaluados usando operaciones vectorizadas. " ] }, { "cell_type": "code", "collapsed": false, "input": [ "u = np.ones((ny,nx))\n", "u[.5/dy:1/dy+1,.5/dx:1/dx+1]=2\n", "\n", "for n in range(nt+1): ## Bucle para los incrementos de tiempo\n", " un[:] = u[:]\n", " u[1:,1:]=un[1:,1:]-(c*dt/dx*(un[1:,1:]-un[0:-1,1:]))-(c*dt/dy*(un[1:,1:]-un[1:,0:-1]))\n", " u[0,:] = 1\n", " u[-1,:] = 1\n", " u[:,0] = 1\n", " u[:,-1] = 1\n", "\n", "fig = plt.figure(figsize=(11,7), dpi=100)\n", "ax = fig.gca(projection='3d')\n", "surf2 = ax.plot_surface(X,Y,u[:])\n", "plt.show()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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B8EWok8nktGu7V70KjaiXcdtJ67PPf/4U4KO4E3MAt2CVKwmaucCunHnmmZxz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D435zgOO3bsoFWr+LRePP8gr5Sek5NTRbn6yCOjuPfeR3GcImz0zJkkN6khVpQCw4HPCQSOxXGu\nITnt0TLgR6z6dCEi8xFZg1J5aL0rjrM3FSSvpkprCLgb+BStj8WY6/BvOkU0wsB9wEdofUyMa/e8\nBguAxW403BLssHlrRNoh0gM4Cjic+Izx3g58CXyEf/Izt2HbrZ9gxSl+gsG2zB/FBsqnChux56U/\nAicnaZs70PoljJkLnAv8ByhFqXcQmYDWmW683mX4/3v7NTk5D/DHP57AI4+MoE2bNpViuzybEcdx\nGDFiBOPHj6d7d6toDgQCjBgxgiOOOMKX6UVpxIY0oUsgIgmdMYZt27bRpk2bRr+vZ0ECVIoT85Sr\nkZmrxcWno9RKtJ7jpjaUucPungGtl9TgBxhgLEq9ilJ7Y8zNpH5tIWAFNu1iPsbMR+RnlGrukrx9\nsO2aY4E3UWoiSu2OMbdi58uaCt5CqdFAO0SGYd3144lNwBLsflzgHouFaN0K2BVj9scSvGOAqsq1\nmmDTB+YDb1C7T2GycT1a/1KuIvYX5qDUAES+T/VCgBlYw+XbSexNmwBfAS+h9R4Y81+qErYQMINA\n4B0cZy5ad8CYI7HEzw+iKg/byM5+lF12WciECaM54YQTKsV2ZWRkVJqdBntteOWVV3jjjTfo0qUL\nRUVF/PDDD/z00090796d8847j0GDkuFHmEYikSZ0CYTjOITDYcB+obZu3Urr1q1jLm97w601KVdn\nzJjBtdfewtq1QTdz9bCodxDsXfEidw5qjls9UW6LbHfsMPmJxCcqpyHwBA8ZruDhKFIXG1UXgsAy\nPJLnOF9iq1sayMASE4/k+d1CJR+th2HMNuyM36kkr4K7HViKZ7tgTD4iG1CqBUq1xpjfUeGUv3fU\na4vR+p+IbHVFG36qghmU6o3IGPyYVKLUCOAHRF5J9VIA0PpuYCrG3Edijr1f0fppRH5B5Ebql+26\nDfgErT/BmAVo3dIdw+iPnYNNhcJbgI/JyXmMCy88h3vvvYO8vLxKsV2RnRoP69evZ9CgQbRv3577\n77+/0tjPzp07mT9/Po7jcPTRqazWphEPpAldAhFJ6AC2bt1Ky5YtG6wiMsZQXFxcPtwaGc/iZa7e\neOMwvvtuYQzKVS9KKt/1JvOipDKjrD9OIjF30Ivc/M/N2PbHX2k6bjrr0PoWjPnRnTU7CCggEJjn\nVvI2otQuKOVVoI5y//lhlq7QnfGbi9bnYcxA/EE+g9i2dwFaLwYWuXFImkCgFcbshkg7YBZK9UBk\nHLHNOCYSj6PUa4h8hh9vSpQ6EpFrgbNSvRQXQZT6G0qF3Mp2vEidg1L/h8g7KHUYIvcRm+ihFCtu\n+hqRWYisjYgqPBjbLo6+4Yg3NpCb+xC77baBZ58dx6GHHlo+dlNTbJcxhhdeeIGJEycycuRIjjnm\nmPSs3G8caUKXQBhjKCsrK/9527ZttGjRot5mjcYYSktLa1Surl27lqFD7+Lddz+Is3LVAD9RoQqd\nE6EKbYPj7EWFKjTWFvJGl1AsRutzMeZSGtJqSy1KgDuBL9H6ZIy5CusJVd3zvDbjPIxZiMgm1/hz\nV4zpiiV4R5A8dZ0BHgcmR2TGJsvgNVZYrzxbzXsAWz1pCWxGqRbuMdkFW807xv1v6uZEte6HMTcA\nf0vZGmrGImwL8Xv8deO0DaXOBrLcCn1jsQqlnnJJ4j3E18ZmJ7AApeah9fdulyNAINDWPQ4PxXY5\n4jGDZ1DqbbKzx3P11Vdwyy03kZmZWSm2K1II52HVqlXccMMN9OrVi+HDh5OT44ebyDQSjTShSyCi\nCd327dvJy8urUhKPRqRyNTMzk5ycnEpEbuvWrYwc+V+eeurpJCpXPVXoogjrj2jBwJHYlIHaiFkp\nVjQw3R28vwbokOC1xwsGGI9SL6HUPhhzC7BfA9+jiAqSNxdjFiGyxZ0l2w1jumHbOtERPvHANLR+\nAJFsRIZStSXvZ3yH1rchkovI/dhEk1LsMbkMpZagVD7GrMCLRIK2GLMfFebSXWp89/jhSeAp7LyW\nP9S2kdB6MCI/I/JsqpdSDTaj1FlAa0RuiPE9Qmj9FsZ8ih0fuIXEk3ubv2rHF6JtkbwuxyHYc2ND\nuhyryc29n732Ukya9CTdu3evVJWrLrbLcRzGjx/P5MmTeeSRRzjssKb0HU+jsUgTugQimtAVFhZW\n6wfkIVq5mpubW8mCpCJzdSRlZYdTWno5qR3WDQHLqRAMzENkvdtmbIsxB1DRZszCkqGXUWpPV/DQ\nlEQD09F6JCIKkSFYdWC82hc7sKpQW8lznEXANlcVupubtemRvFiqKqvc1vBalLoKkbNifJ9UYCdK\n3YzIXJS6DJELsXOKtWEr9rhcTiCwGJHFGLMayHBnRTtgvfKOwv4d49Vq3uK+52PYi7ffsBNLbl/B\nfn4/4leU+ivWgPt6GkbGlqLUOJTKwZgHSb5hciS8G+AC1+B8Psb85JK8yHnl46g6/xkmEHiJzMyX\nuOOOIfz731cSCAQqxXZF3uR7KCgo4MYbb+S4445jyJAh5SrXNP53kCZ0CYRH0Dzs2LGjfNYhGvVV\nru7c2ZmioqvwR+ZqdSihQjAwF2MWILIR21IMYStal2HbjE2BVKxC61vdauQViJxD3YQiHiikguTN\ndUnejgiS1wPbXjyEmvdjCXAH8BVan+a2hlOdS9kQPINSk1Cqlztb1RjhgwF+xh6bywgEFmFMASJb\nXRFGW4zZG0t4Tgb2avAWtP4rtpU+thHrTCReROtxGPNZqhdSB35BqYEotd0dCahunCESQbR+HWO+\nxKY8XJ34JcaEMHaUpQCt87EkbyUVNxodge7k5Mykd++OPP30GPbcc8/yjk1NsV1lZWWMGjWKzz77\njDFjxtCjR7wV6mk0FaQJXQIRTeiKiorK41c8hMNhiouLMcaUE7lIwcP06dO5/vqhrFlTWoNy1c9Y\nhNZ3YMxG4J+AuBWoBVjLikhfsmOx5MQvHnnFwFBsWsIZGHMlqSdD24DFWH+3OThOPlCE1m3c/dgT\nux/7As+7Fip7u2QoldWKhmIeWt+GMaXAMCxxTRRKsNW8Ze5F1hNhNHMH33enIgGjHzUfn49gTXqn\n4U//MkGpE9zq7BWpXkw9EETruxF5D5GLqPm8twx4Aq1bYMwoktNWjycMsAaYD4xC6yAPPHAfV1xx\nRaXYrpqqcnPnzmXw4MGcddZZXHPNNfWez07jt4k0oUswgsFg+f8XFxejlCInJ6d8qDUxytVUY6Ob\n8JBfi+BhO5acLHLJyWKsFUVrNxDeSxhIthGyAcYAr6N1D4wZTCzVmuRhK3Y/LnTJ8g9AALvPcrDH\nzfE0DUPpQpQagsg8tL4IYwaQmjk0g1V+L3UTMBa4g+8l7k1IB0QOxLbLjgHewxLPFwC/xgx97VaY\nv6VpVMY9vAMMQ6m9EbmcilnhMrR+0602nouNBGyq+IHc3BH079+XJ554mPbt25eP2NQU21VSUsL9\n99/PggULGDNmDPvs4ycPxjRShTShSzBCoVB5DIvnFaSUKh9qzcnJqUTkEqdcTQZKsXmI09H6KIy5\nlobN+G3C2qcsRusfXJLnuPYpnhHySSSu2vR/aP2wKxoYgvWTayrY6M6aLXVNY/dHqXy0nutW8soi\n5sf6YMlyD/xB8gxWTPCqq7wdAvgxV3ILVtBS4PrmLXKzQAMotb8733cgdhzCT99Zg1J/QOQI4LZU\nLyYGrEXrezDma2yl7liUehKlFMY8ir9vuGrDTrKyxpCb+xVjxz7K6afb2DEv97tZs2aVrg9grxHf\nfPMNQ4cO5bLLLuPSSy9tsA1WGr9dpAldguEROhFh586dlJWVlRO51CtX4wVP/fkySu3hXpDjIXgQ\nYAOW5C1CqTkYswTrSdYmYrD4BBpnhLzUNdfdgL3Tb0peeGFgBJaM9seY66m+5bcRm1+50CV5BVSQ\nZY/knUDykzm+cVtrGpHbsNFqTQWPAq9iK0Sr0fonRDYjUoRSXdC6L45zEJbkdSV1qtf3Uep2RL6h\n6RzX1eE7YAD2JiQXeBGIT5Ri8vEFOTkP8pe/nMJDD91Hq1atym2qwuEwubm5VdwQduzYwZ133smG\nDRt4/PHH6dzZT2baafgBaUKXYIRCIUpLSykpKUEphdaaFi0sURMRjDG8//4HXHrpFQSD7QiH76dp\nzYF8jNb/RSTg+kfFU/1ZHQRYiyUnC1wj5OXYweK2rkXAYVgfqLosAra7reG5aH0WxlxG0yHRUBHX\ntZtrQ9KzAa+NJMv5ESQPt+3dCVsRPZHEVEQ3odRgt6L4L0QuIDlik3igGK3/jTE/Ydvz3aN+vxX4\nFJhNIPAjxmxBZAdK7R5F8rqReJIXwn4nB7r/mipWovXFiOQgMgCt38aYhW5ldCBNp5q+hZycR2jZ\ncinPPDOGY445pl6xXdOmTePuu+/mxhtv5Nxzz00bBKdRLdKELsHYvHlzeSSLNxfhETrHcRARZs2a\nxbhxk5g9+wfWrfuR3Nx9CQa7EQx2x14s9sLORfkJ+a7gYQNK/QeRM0ndBdkzQvZ8oOZizEqUykWp\nNq568ffYWbLW7vMfAt5D64MwZhBNi0Tnu6KBLdi4rtOIT+vUM/BdHJEaspSKimgnKiqisba5DPAg\ndt8fjTE34k8RQU2YhlL3oFQ3jLmX+qdUbAc+A2a6JG+zS/I6o/VBLsnrSbwreTZW6yOMmR6390w+\nXgAeQOu/uL6V3nlmNVq/gjFTUEoD+7kq9P74Y5QgEgJ8SHb241x66YUMHz6M3NzcOmO7tmzZwi23\n3ALAww8/zG67NaXvShrJRprQJRjBYBARKVcsFRUVkZeXV/4Y/9/emYdHVd7t/3POZJshIIskSEAg\nglnYk4BVrErB16UqiK3Cz1esYOtSFRpFRaiKKLIVXiWIuKG+rUutbystS1sXIhSSyUwSEhIwgAQS\nVtkJWWfO8/vjnDPMZCckmRl5PtfVqxfJEJ8MkLnn+3zv+wafHbrTp0/jcDjIzc1l8+ZccnJyOH78\nCFZrPBUVCdTUmCKvF/6pFTpqTLW2oap3G5VRgTjV8g5CzkMP+yxFj09xo+/73QM8QvA0VHjXdd2D\npj1I29d11a6G22pUw5nJ+DHo7uSxNC2Kv0RRFgKRCPEC+jVvsFCGoqQiRIHx/xO48H9/p9FF3pZa\nIq83ipKMpiUBQ9B38lryZmkDep3e32j7aqq2wGVMb7PRd3Mb6hrV0J3R/0LT/gVUY7H0wO1OASbg\n/+/9IDbbQqKjT/DhhytJSkrymcrVV9slhOCLL75g6dKlvPDCC/z85z+XUzlJk0hB18a4XC7PJM7l\ncnHmzBlUVcVisfj8z3ynJoQgIiKCkJAQzz/gEydOkJ2djcPh5NtvHeTmOqmoqCQsLJGzZxPRNFPk\nteW7t2r0H6pfo6rXGLta/gw1Pl8KUNVZaNopYCIWS6nRt3rIyCHrbvSt/hQ9HLa9qriag3dd1zAj\nm8ufE0UzamE7qlqAXg23m3P9v704V3/UE73z9mkjy+8JQwwF2sS5MT5EUd4x8vCeB6La8L91Cj36\nZAuqugchjiPEWVRVz8jTtOHoDvB+ND6FKkWf3E4H7m/D87YV36Mo9wFdEeIPNL9hQaBP6zOwWNJx\nu7eiKGEoShSaNhB9utxY/ExroqGqnxEW9h6pqY/z9NOphIaGNlnbdejQIWbMmEH37t1ZsGABl1zi\nn7ikKVOmsGbNGqKiosjPz6/z+Q0bNjBu3DhiY3XBfNdddzF79uz2PqbECyno2piamhpqamrQNM3z\nMSEEbrcbt9uNy+XyfM5isRAaGkpISAiqqjb6juzgwYNkZ2djtzv49lsH27ZlA+FYLAMpK0sw2gUS\ngU6t8F28g6L8CehluD+DKbjSnCgWoKqTjAgV76lWBXpHaIHRt5qPEMfqqeK6Gv8slH9tNFSEG3ty\nV/nhDM3Bu/93G/pEdBe6cLMYn/8VMI7zqz/yJ0Wo6jNo2ml0d+gNfjrHD8C/gUwsln243ccAF6qa\niBBXIcQw9H1H8w3dIWA8ijIcIdL8dOYL4U/AAlR1ghGGfSGrHG5gN5CDxWLH7RgjfvcAACAASURB\nVN6KvgPZtdaeaGtP8fbQocOrXHFFOO+/v4K4uLgma7s0TeNPf/oT7777LgsWLOCGG27w61Ru48aN\nREZGMnny5AYF3ZIlS1i9erUfTiepDyno2pj777+fI0eOkJSURHJyMsnJyVx66aUcO3aMBQsWcOed\ndzJ8+HBCQkLQNM0j9DRNqzPFa0zkCSEoLi7G6XSSkeFg0yYH332XR1jYpQiRyNmzCegCLx49n6w5\nfGkYHhSEeBo9cytYxv7e7s+rjbL05k4Uz6DHUxR4BSGfQVU7I0S0V4BvEm33Tn+vUddVYuwo/oLg\ncij+DUVZBkQjxC9Q1SL03cZiFCXCaGbogy5QxwKX+vW0vlQCzwObjLWCh2j+v5n2Yg/wL8CBxXLQ\nEHkdUNUENC0fvV3hL/g/DPt8cHll5b2M/kaqLTgK6OsDunO+iHMrBD3RVwh+Rsum4DWEhHxIWNhn\nvPTSbB566NeoquozlbPZbHWiRvbu3UtqaiqDBg1izpw52GxtvUrRPIqLi7n99tsbFHR/+MMf+Pvf\n/+6Hk0nqQwq6NkYIwdGjR8nKysJut2O32ykoKODUqVNcd9113HfffVx33XVERkbW2aEwJ3imyAPq\nFXkN4Xa7+e6773A6nWze7GDLFgd79uzAau2Dy5VIRYUp8vrj+y54B6r6PJp2CEV51EiXDxYHIsCf\nUZSV6O7P59D3kC6Uk0AhvlVcVYYjNBr9GmwsunPxQkReJXpd1yajruu3BFc0wy5DiP6Abti4Dd83\nAeZu43YvA8s+w8DSDU3ri25gGQN0beezA/wfirIMRbkcTXsB/+9fNRcNmA/8HUW5GihGiFJUtRPQ\nw7iq/TmB1cbizfeo6mSE6IQQS2jfdQ7vFYJt6H8nd6M7500zUBL638nLG/k6hdhsr5Cc3Je3315G\n7969m6ztcrvdvPPOO3z22WcsXbqUkSNHBtSuXGOCLj09nQkTJtCrVy9iYmJYvHgxiYm1Hd+S9kQK\nunZC0zQ++ugjZs2axfDhw3n88cc5fvw4WVlZZGdnc/bsWfr37++Z5A0ePLjekbwp7hoSed67d/VR\nVVXFtm3bcDqdbNyYhd3u5PDhfVitA6isTKCmZidC5KOqv0TTfkNgGh4awomqvoSmlQFPATfRti9e\nerbbubYLPdtNv865DP1F4HxiPz5EUd5DUfoZdV0D2ubYbUIF+rXkFlT1TjTtYZpvNqkBvkd375rX\ntSUoSgevjlVzktdWE6diVPUpNO0o8Ax6w0bgvLA2jgY8C2xGn0pfa3y8Ev3vZz4WiwO3Ow+9YaG7\n8ZzeANyO/98wvAcsNa5YHycw3jxqwD7O7YluNUReiFfvajJ6W0gPwsLeIjz8X7z22gLuvvvuZtV2\nfffddzz55JNcf/31zJw5k7CwQAqj1mlM0J05cwaLxYLNZmPdunVMmzaNoqIiP5xSYiIFXTuRnZ3N\nb3/7WxYtWsS1115b5/Nut5uioiIyMzPJysoiPz8fTdMYOHAgw4cPJyUlhbi4OJ8FWjOw2HuK53a7\n6zVdNCbyysrKyM3NJSsri/ff/5Tjx09QVnaSiIhEysvjcbkS0ffmLiMwX+QOG5VRRajq/Wjaffjn\nikyg7y95ByF7x37EcM4s4H2dY0dV56JpVegvzKMJzOe5If5omAauQNNm0zrJ/TXoHav6JE+IXIQ4\ngKJEoqrdcLv7A9egrwFcyJ5oNfAiervJHcZENJjexOxAVacjxCUIsZDGJ0jm3888VDUHcKJp+7ym\neMnoRopk2meKV46iTEWIHcA89D/PQObcJE9RCo1Ynx2Ayu23j2PZssV07969Tm1X7TfZNTU1vPba\na3z99dekpaUxaNAgf31DTdKYoKtNv379cDqddO3qj8m6BKSga1e8o0qa89jq6mry8vI817VFRUVE\nREQwdOhQzyTv8ssv93nnZ4YV157keYu85pgujh075nHWpqdnsXVrNtXVLkJDB3L2bLzhrB2Ivqvj\nL6qBl4BvsFhuwO2eTuBlmplByOb0KccwC4Qb17Vn0Hf2zD5Kf7UJtIR8o2GjHJhJ2wvRanSRV+hl\nYDlouJQvRdNMkTea5sW5/ANF0a/39BiVK9vu6K2OBsxBD/b+byPCpiWTLXOKl+c1xXNhsXTH7b4C\nXTD/nNa//t6EokxHUQYYeX7+/DnSEk4TEfE6Nlsmixe/zD333AP41nZFRETUmcpt3bqVGTNmMGHC\nBJ544ok6uXOBRmOC7vDhw0RFRaEoCna7nbvvvpvi4uL2P6TEgxR0QYRZH+Z0OsnKyiIrK4uSkhI6\nd+7smeKZpov69vG8/9cS08WBAwfIzs4mIyOLjRsdFBbmoig2VHUgZWXx6AIvgfaZcHyAoryPovRG\n02bSOlVj7UU1MAPIAgahKKcQothrj6wfuqt2NM0Prm1PzDy8HBTlvxHiAfxnGqgEdqKLvDwjiuYI\nitLJeC7jgFHoC/bmGUtQ1Rlo2gH0q/nbCa6JaAaq+jxCdESIebSuEDXDpc0pXrax49gRRemBpg1F\nv46+hpZN8TT03cp/oyiPIcREguu5B/gaq3Uxv/zl7SxYMJdOnTr51HZZrVZCQ33FdWVlJfPnz2fr\n1q0sX76c/v3bqo+69Zg0aRLp6ekcPXqU6Oho5syZQ01NDQAPPfQQy5cvZ8WKFYSEhGCz2ViyZAk/\n+UkwVff9+JCCLsgRQnDs2DHPFC8rK4ujR48SExPjmeINHz68QdOFd3yKEMIzwfO+qm1M5O3evdvH\nWbtr1zbCwqLRtETKyxPQRd6VtF6u2xZU9RU0rQZ91ynYridN92c3o7vUrOvy3iPLxwxCVpRIQ5j0\nR9+NuoG2DxNujDeBj1DVIUZnby8/nqUhzCga70neURSlE/pPu1Po+4mvE1ju2qYoM+rScg036CTa\nx/lcBewAtmGxOI3ojwpjV7QX+puP22jaQJKDqv7WEKILaJ2r+fbkKFbrIjp33s2bb/4Po0aNwmKx\neK5Yw8LC6q3tysjIYNasWUyZMoUHH3ywUSObRHIhSEH3I0QIQUlJiWcfzzRdXHHFFSQlJZGSktJi\n00VTzlqXy8X27dvJzs5m06YsMjKc7NtXhNXaj5qaBCorTZEXy/ldEe033JPfoyi/Nl7MAm+JuGF2\nGNeTx4BU9Guspn6wV6FfMZoZefr0Sd95utSYPl1L+wQh21HVOQihIcRs9KlXMPEFsASIRlX7IERB\nrbzBePRQ6WsIzL9XH6Eob6IoA9G03+P/UO8fgAL0PmWnsSsaisVyKW53P/SJ6C3oglkDngbWo6oP\noGm/IrgieASK8nfCw9P4zW9+xfPPzyQ0NBSXy0V1dTXmS6jFYqGgoIC8vDySkpLo27cvr776KgcP\nHmTZsmX06hWIb34kPyakoLtIME0XZnTK+ZguasenKIriM8VrynRRWVlJXl6ex1mbleXkyJH92Gxx\nVFYmUF1t7uP1pq7IqUCP8fgPqnqzsbQeTEu3p41g4xwj0+xBoMMFfL0K9Iw8PT5F07bVEiaJ6C+m\nP6F1XjSPoygzEOI7FGUKQvw3gSl4GuKg4V4tQW9NGM+5v2Nl6JOn7YZg3oYQJwMoVBr0Uvqn0LQT\nwCwCdyJtBksXoKpbMeNo9GtuF/qbk6nAfxM8VXsA+7HZ5hETU84HH7zJ0KFD663tAv1n7JYtW3jv\nvffIzc1lz549xMTEMHbsWFJSUkhKSmLw4MFERARSC43kx4QUdBcptU0XWVlZFBUVER4ezpAhQzwh\nyC0xXTRH5J0+fZqcnBycTt10kZOTzZkzp4iIGMjZswm43YnobrI/G4vTz9L8+I9AQAOWA5+1Q13X\nGfTF9u1GfEoBehByFyMIeRC6EBhO8/eeNPSJ1hdGMPNTtG3lVWtj5rKtRVXHomnTaV48h/lcFhqh\n0gXAaSNUOsp4Ln8KjKRtRZ4LmItuehhnvJG5kDcC7U01+lQuC5iAxXISTduKEIeNCXM3o2qv9n5j\noOBGVT8hPHwVzzyTyu9+94Qn/L28vByov7brxIkTzJw5E7fbzSuvvOJp9HE6nTidTk6dOiWNA5I2\nQwo6iQchBGfPnvWYLux2u4/pwhR53bt3r7MnommazxTvfE0XAEeOHPE4a7/5JhOHYzNudzWRkaM4\nezbB6GJMJDCNAt58jaouRIhQo67LH4vC3kHIObjdhUClEZ/SAxiGHpQaT12RZ9aN2Yw9v6R2PfmF\n8zWKMh/oZLhXBzf1G5rgJPokz1vklRmCOcpoDrme1gvt/RpFmYfeYzoH/c8omPgSRXkVvSpwLr5R\nKuaEebvXGsExVPUSfNcIRuG/PuVddOjwCnFxHVm16g369+/fZG2XEILVq1ezZMkSnn/+eW677bZ6\nf9a5XK6Ad7ZKghcp6CSNUtt04XA4+OGHH+jZs6dnH2/YsGF07NjxvJ21Zj5TY6aL0tJSo+kik40b\n9TqzkJBLUBS9s1a/qo0nMKYXJUb3Z6DWdf2Ar8jbgV4g3sXotYwDMoEDAXr+pvjBuJ783nBQ/gK9\nR7YtOMG5SV6uIZh1o4Au8oagT0WH0nyRdxxVTUXTdqEoTyDEBNru/G3BKRQlFSGK0PdEx9O86+Gz\nnDOx5KJpBbVEXjy6yLuGthV51YSEvEd4+OfMm/ciU6Y8UKe2q76p3KFDh5gxYwbdunVj4cKFdO7s\n76BmycWKFHSS88Y0XZj7eDk5OZSVlXlMF2bTRXh4+AWbLrzjACIiIrBYLB5n7ZYtDv7zHwfff19I\neHhP3G7TWZuI7qxtr12vSvRMsG+DrK7LDJrNBxahv7DCuV7LXpwLQo7xzxGbhXk9/DdU9Xo07Un8\ns2d5DH1NoABVzcXt3g5UG80CPdDF3Q3oE8PaIm858DGqeo1xPR9M7lvQW07eQVFGGDFCF3r+2vuN\nBQhx3Nhv7GaIvFG03iQvD5vtZUaOHMDbby+jZ8+eTdZ2aZrGxx9/zNtvv838+fMZPXp0QNV2SS4+\npKCTtArepousrCzy8vIQQpCQkOCZ5F155ZV1rhtqizyXy4WiKJ44ALfbXW8cgDc1NTUUFhZ6OWsd\nlJbuxma7gurqRMNZm4gek9DaE6cPUZRVKErfIKzrAr378zXgUoR4Hj3PzwxCzkcPQt6NokSgql1x\nu/ug13CNITBCnDehqnMRwmpcrw7394Fq4T0VNUWey+vquxf6VFSgvym4yn9HbRFmZdpJ4Hn0fbi2\n4gy+17WtIfLKCQt7g4iIr0hLW8yECROaVdu1b98+UlNTSUhIYO7cudhs/owSkkh0pKCTtAnmzkl+\nfr5P04VpujBFXm3ThcvlYvfu3fTo0cPzcU3Tztt0UV5e7nHWfvttFg5HNseOHcJqjaOiIoGaGtNZ\n24uWuQadqOqLQVzXtce4Hj6Cfj12Gw1fDbqBYnQHo9m1agYhX+oVhPwz2q5rtTbe7ttHEOIeguN6\nWABHgK3ovatV6NeqmlcH8HB0wRzIzRUa+vnXGqaNx/BPPmJDIs/7urYhkbcFm+1VbrrpOl57bQHd\nunXzqe2qbyrndrt59913+fOf/8ySJUu46qqr5FROEjBIQSdpN2qbLrKysti3bx+XXHIJw4cPp0uX\nLvzxj38kJiaGTz/91DPNq+2sdblcHpHnHZ/SlOni5MmT5OTkeOrMcnOdlJeXEx6u15npztqBNO7m\nPIqiPIMQO1CUXyHEZIKrrqsSPQZmk/FC/Agta/Ywg5ALanWtdvTqWh1F6wcha8Ay4C+G+3YGgTEp\nPB/+iqK8jqL0Q9NeRHc/H8K8rtU7Qr8DFOO6tid6v+rPgCv8d2wPdqOpwoYQL6NPvwOJpkReHOHh\nlXTsWMg776Rx4403AvqbyfLy8gZru4qKikhNTeW6665j5syZnrgSiSRQkIJO4leEEGRnZzNt2jQK\nCgq48cYb2bt3b52mi5aYLpoj8g4dOkR2djZ2u4Nvv3WwbVs2mhZKSIheZyaE6aztACwA1qGq16Jp\nqQRXjAfAJyjKSuN6eDatLw6qOFfDVTsIuXsrOBjtqOqLCGExrldTWu/o7cJ+VPVJNO0QesvJzTQ8\n1RXAAaDQKILPQdN2AqpxXRuDLvLGAH3b4ewAFcabGSeK8huEuJfgmIqCvpP3HbACyGXs2Jv4058+\nIDIyEiEEFRUVDdZ21dTU8Prrr/Pll1+SlpbG4MEX6pqWSNoGKegkfmXRokXMnz+f1NRUUlNTsVqt\nPqYLs+mirKyM2NhYT3RKfaaL+kKQ4fyaLoQQ7N2716fO7Lvv8qipcaNpFegGgYnoztpAy85qiEJU\ndRaadhr9engs7Xc9XI5vEHI+Qpww9p6ijCDkG9DNFw2Jg1PG9WqBIST+Hy0rovcXGvqbgX8Y4djT\nadlUVKDvN25HUbYZk7xdQIgh8trSxPI3FOU1IxPyhTb4+m3NEazWBVx66UE++GAFV12l7yrW1NRQ\nUVFBaGhovXu6eXl5PPXUU9x5551MmzZNRo5IAhop6CR+ZdOmTcTGxtKzZ89GH6dpWp2mC7fbTWJi\n4nmZLuoTeWZ8SkO43W7sdju7du1iyxYnmzc7KS7eTkREb1yuBCoqzPiUAQSW0CgzWiqcqOo9aNqv\nCQwRaob3FhhGAe9ct2gj1+0G9F2yN9HdnylGuHS0307dMv6Dqr6EEB2MTLnWnu5oQAm6aC9Ab2jY\nBYQbIu9y9EnejbSsLuwwqvo7NO0ATU8VAxGBovyV8PAVPPbYb3juuacJDw9H0zQqKirQNA2r1Vrn\n50ZlZSULFiwgJyeH5cuXM2BAsJmdJBcjUtC1kPXr1zN9+nTcbjcPPvggzzzzTJ3HPPHEE6xbtw6b\nzcb777/P8OGB5sALbqqqqti2bZtnkvfdd98RFhbm03TRp0+fOk0XQgifKV5Lmi6qq6spKCgw6szs\nZGY6OXiwGJttAFVVCVRVmft4ffBPltg7KMqHRvfnc7RdS0VrcQLdDWqKvFx0k4aKPs26BX3yFCwh\nu6dRlKcQohBFeRghJtJ+15NuYB+w3XAq56Jpe7ycypejN12MoXGBnAZ8gqqONppC2svw0lqUYLO9\nwuWXu/jggzcZNGhQvbVdtaf8mZmZPPfcczzwwAP8+te/bnSiL5EEElLQtQC3201cXBxffvklMTEx\njBgxgo8//piEhATPY9auXUtaWhpr164lMzOTadOmkZGR4cdT//gxTRfZ2dkeZ6236cIUeVFRUfU2\nXTRUZ2YaL5raxysrK2Pr1q0eZ63Tmc2JE0exWhMoL4/H5TJFXk/absrhMNy3LvTuz5+20X+nrSgz\n9rRyUZQHEGJArVw3YUyeTKPAWPQ4mkBiFbAKVU0yMtkCYaroQncqmyLvnFNZF3l9ORdHcxhVfQYh\n3AjxEsG3q+jCYvkTYWH/y+zZz/D4449isVh8pnI2m61OQHBZWRlz5sxh//79pKWl0atXLz+dXyJp\nGVLQtYAtW7YwZ84c1q9fD8D8+fMBePbZZz2Pefjhhxk9ejT33HMPAPHx8aSnpxMdHQg/3C8ehBAc\nP368TtNFjx49PAKvLU0Xx48fJycnh6wsB+npWWzdmkNVVTWhoYmcPRvvVWd2oUGsJwwhVGAIofsI\nLvctwLvGVHGocb1a+xreDEIuMHbITKOA9w7ZSHSR1/gVftuwA1WdiaadBX5P4ItpF7AHM3NQiByE\n2Ms5V3IKuoHlZwR+3Z7Jd9hsLzNoUHfee285/fr1a1Zt1zfffMOcOXOYPn06kyZNklM5SVAiNzxb\nwP79++nd+9wVVq9evcjMzGzyMaWlpVLQtTOKotCtWzduvvlmbr75ZuBcpZjdbmfDhg0sXbqUM2fO\nEBsb63HWDhkyhPDwcJ/dGm+R53K5qKysRAjhM8Uzr2rNF4yuXbsyZswYxowZg6n3Dx48iNPpNJy1\nq9m27UUUxYrFUttZ25zFeQ14HfgcRbkKIT5HiB6t+RS2A/mGaaMKIV5GiIaEkIK+B3YZQoxFfyuq\nAaW43WZG3no07Q0UJdyIT+mD3qU7hrZrX6hGD9XdCNwDBMquYlOEoO99DkDTIlGUDShKHEI8BhxE\nVbchxEcIsRBF6WA8n1egP5+jCawr2CpCQ98lLOxvLFr0MpMn34eiKD61XR06dKgzlTtx4gSzZs2i\nurqaNWvWEBUVbM51ieQcUtC1gOYGSdYefsoAysBAURR69+5N7969ueuuuwDdPLFz504yMzP5/PPP\neeGFF3C73SQkJHgmeXFxcYSEhPiIPO+r2urq6mY5ay+77DJuu+02brvtNkD/e7Jnzx4cDofhrP2A\nnTu3ERYWhRD6JE8XeHH4CoV0VHUeQkQgxFI0LdiuxspRlGcRwgncB/yK848zUdHL3y9H024xPuZG\niD243WbbxV/QtCUoSgcUpRuaFsu5IOROF/g9rEVRFgMxCPG/xtcOJk6hKE8ixA5gutEfawZ6TzAe\nU40Qu3G7C7FY8tC0DxDiVRQl0ng++6M/n6OBSD98DznYbK9w7bWDeeONTC677DJPQHB1dXWDU7l/\n/OMfLF68mNmzZ3PHHXf47efzlClTPGIyPz+/3sfIfWxJc5CCrgXExMRQUlLi+XVJSUmdfYvajykt\nLSUmJtis/hcPqqoSFxdHXFwckydPBnTjg2m6WLFihY/pwnTW9unTh9DQUE92lWm6MKd4VVVVuN1u\nFEXxmeJ5my4URSE2NpbY2FjuvvtuQA853bFjB06nk82bHWzZ8jp7936H1dqX6up4amqK0LQihPit\nEeMRbP+UP0RR3kVREhDiEzStNU0bFqA/0B9Nu8P4WA1C7EaI2qKkoyFKBqBn5F1P86Zrh41MuRKE\nSAXuILjcnwAfoptnUhDirwjRUEBzGHolXAJu913Gx6oQYqfxfOajae8gxMvG83mpIfKuofWDpb05\nS3j4cqzWdN54Ywnjxo0D8KntioyMrHN9evjwYWbMmEGXLl3497//TefO/u1dfuCBB3j88cc9P3dq\ns3btWnbt2uV5w/nII4/IfWxJvcgduhbgcrmIi4vjq6++omfPnowcObJRU0RGRgbTp0+X/wiDnNqm\ni6ysLPbu3UunTp0YPnw4KSkpLTJdNNdZW1lZ6RGY77//CcePn+KHH/Zjs11JZWUC1dWJ6JO8PjRc\n4+VvdqCqzxp7Zs+hv+D7SwhVAUXojQK5RhDyD15ByPHo3aTXoIsa0K94lwJ/NdyfTwL+FQTnT1v1\nr1YAu/ANljafz0uNYOlR6ML5Qq+kN2K1LuD228ewZMl8unTp0mRtl6ZpfPLJJ7z11lu8+uqr/Oxn\nPwuYW5Pi4mJuv/32eid0ch9b0lyC7W19QBASEkJaWho33XQTbrebqVOnkpCQwMqVKwF46KGHuPXW\nW1m7di39+/enQ4cOrFq1ys+nllwoiqIQGRnJddddx3XX6S+CpunC4XCQmZnJhx9+6DFdeDdddOrU\nyWd/xxR5ZnxKdXV1k6aLiIgIUlJSSElJ4dFHHwXg9OnTHrPHli0OcnPf5vTpE0REDKzlrO2BfydI\nFeiu20wCZ88sHD0XbjBu993Gx8qN2q0CQ+TNR4iTqGpnNC0SvYdVBf4nCK+4z/WvwjigtftXrZx7\nPu8xPlZhPJ9msPRShJhdq2v1WnTR3Jzr9hNYrUvo1KmAd999m9GjRwPnpnIWi6XeqVxJSQmpqanE\nxcXxzTff0KFDh1b6ntseuY8taS5yQieRtDLepguz6eLMmTP069fPs49nmi7Ox1lrXtmav8fM0woN\nDSU8PNzzIvbDDz+QnZ1tdNY6yMvLpqbGTWjoQMrKEhDCFHld2+kZ+QRFeRNFuQJN+z3tV1XVWhwC\nHgEOoyiDEWI3ehByV4SIQogh6PtjQwncyagdVf29EXA8F/3P31+cBXZwrmt1m9G12hld5CWgO4Sv\n5txkVADrsFpf4/77JzF37vPYbDafqVx9tV1ut5tVq1bxySefsGTJEq666qqAmcp509iE7vbbb+fZ\nZ59l1KhRAIwdO5aFCxeSlJTU3seUBDhS0Ekk7YBpuvBuunC5XCQkJHgmefHx8c1qujD/ySqKQnh4\nOKGhoU3Wme3fvx+n00lmpoONGx0UFuZisXREURIpK0tAv6pNoHWX2nehqs8YV3vtXTnWWnxk9N8m\nGmLUjEM5jm8Q8nagGlXtiqb1QG+5GIP/g5ArUJSnESI7wPtXz3CuIm4rbnc+cMpoD+lOeHgYPXpU\n8+GHb5KcnAw0XdtVVFTEk08+yahRo5g1axbh4YEb49PUlesNN9zAxIkTAXnlKmkYKegkEj/hbbrI\nyspix44dhIWFMXjwYM8kr2/fvh6xduTIETZs2MBNN91EWJg+uTCvbRVFqTc+pSE0TWP37t2Gs9bJ\nf/7jYPfuAsLCeqBpiZSXm/t4V3L+eXaV6LtZ/0FV70LTHqbtFuPbij2o6gw07QT6VfFomhajR4BC\nIwg5B7d7B4BXEHIKuqjt23bH9uGvKMrrQdy/ehJ4BUX5lgkTJvDOOysJCwtD0zQqKytxu9311nbV\n1NSQlpbGP//5T9LS0hgyZIh/jn8eNCbo5D62pLlIQSeRBAhCCMrLy8nOzvaIvL179xIZGUlkZCQb\nN27kF7/4BYsXL65TZ9YapguXy0VhYSHZ2dls2pRFRoaT0tJdWK39qK5OpLLS7KztR8NTnv9DUZah\nKH3QtOeBYIvxcAEvAV+hquPRtEeBlu5bCeAAusjLR1HMnlUzCLk3MILWD0I2+1f3o09Gg61/FWAP\nNts8YmMtvP/+ChISEnxquxqayuXn5/PUU09xxx138Lvf/a6O2AtEJk2aRHp6OkePHiU6Opo5c+ZQ\nU1MD6PvYAI899hjr16/37GPL61ZJfUhBJ5EEMBs3buTRR/XqoltuuYXCwkKOHDlCdHS0T9NFp06d\nGnTWmsYLTdNQVdVnitdU00VFRQX5+fk4nU7S0+04HE6OHj2I1RpvOGtNkedGVZ9G034gOEvcAb5C\nUV4FLkWIOei5f62Nht6zWmgEIed49ax6ByGPpWU7jmb/6s8MB24ghf82GzsA8AAAF2ZJREFUhxpC\nQv6X0NCPeP75Z/ntbx9pVm1XZWUlCxcuJDs7m+XLlzNgwAA/nV8i8R9S0EkkAcqCBQtIS0vjD3/4\nA7/85S89wsvciTP38bxNF95NF7UnGK1VZ3bq1ClycnIMkZdFTk42x48fRhd1v0TTRqCLvCiCQ9Qd\nNzLldqEo03zCddsHs4LL7FnNQdNK6mlnaCwIudDoX9WM/tXk9jl6q7Idm20uQ4fG8MYbf6Bnz56e\nDEchBCEhIR7zjzmhFkJgt9t57rnnuP/++/nNb34ja7skFy1S0ElalfXr1zN9+nTcbjcPPvggzzzz\njM/nN2zYwLhx44iN1a/i7rrrLmbPnu2PowY8JSUldOnShcjIpo0K3qaLrKwstm7ditvtJj4+3jPJ\nq8904R2CbIo8aLzpoj4OHjzI1q1bjTozB3l5TjTNQkhI7TqzQMtsewP4GFW9Bk17Gujm7wMZ1KBn\nuplO0K0IcdArCPlK9Ey3UcArwEYU5f8hxIMEX4dvBaGhbxMevoalS19l0qRJntqu8vJyAEJDQz0T\n58mTJ3PgwAGGDBnCyZMnOXPmDKtWreKKK67w8/chkfgXKegkrYbb7SYuLo4vv/ySmJgYRowYUSdw\necOGDSxZsoTVq1f78aQXBzU1NWzbto3MzEyP6SI0NNSn6cLbdGFS3z4e0GB8Sn0IIdi3b5+Ps3bH\njq2EhHRGUXSRB4PQXaD+MExsRVVnI4QbIV4ERvrhDOdLJbATM9PN7d5kfFxBF8oj0EOCveM+Ap0s\nbLZ53HBDCsuX/4GoqCiEEFRVVTVY23X27Fk+++wz1qxZQ3l5OceOHWPXrl0MHDiQlJQUbrrpJsaP\nH+/H70ki8Q+BvzEqCRrsdjv9+/enb9++AEycOJEvvvjCR9BB3Y5bSdsQGhrK8OHDGT58OA8//LCP\n6SIrK4tXXnmF4uJiT9OFOcmLjo6ut87MnOKZDsPGTBeKotCnTx/69OnDhAl6J6imaRQVFeF0Otmy\nxcHmzW/y/feFRET0wuVKoKLC3McbQNsJkgr0hgo7cB9CTGnD/1ZrE4Ee3Hs5mvYvAOOKOJZzwb3z\njCDkLkZG3kD0OrORBFZG3hnCw1/HZsvgrbde49ZbbwXwTOUaqu06efIks2bNoqKiglWrVhEVFQXo\nIm/r1q04HA5++OGHdv9uJJJAQE7oJK3GX/7yF/75z3/y9ttvA/DHP/6RzMxMli1b5nlMeno6EyZM\noFevXsTExLB48WISExP9deSLHiEEJ06c8DRdOBwOj+nC3MdLSkpq1HRRn7PWnOI1tY9XXV1NQUEB\n2dnZbNyYhd3uZP/+77HZ+lNVlUBVlRmf0g+9o/VC+BxFSUNRYo0Yj8sv8Ov5A71/VVVHoGnPAvX1\nr54GtqOLvBzc7gKg3BB5PbyCkAfjH5G3Aat1IXfd9XMWLnyZSy65xGcqV19tlxCCNWvWsGjRIp57\n7jnGjx8fkAHBEok/kYJO0mp8/vnnrF+/vlFBd+bMGSwWCzabjXXr1jFt2jSKior8dWRJPXibLrKy\nsnA6nZw5c4a+ffv6NF20lemivLzcM2359tssnM5sjh8/gtUaT3l5glFnlgj0onmmixKju/QwMBP4\nr2b+vkBij/E9nKJl/avH0ONTCo2MvO1AjRGfchl6EPLPaNsg5GNYrYvp3HkXq1a9wU9/+lPAt7Yr\nIiKizlTuyJEjPP3003Tq1IlFixbRpUuXNjyjRBK8SEEnaTUyMjJ48cUXWb9+PQCvvvoqqqrWMUZ4\n069fP5xOJ127tlcNlaQlaJrGrl27PPt4eXl51NTUeJouUlJSGjVdeBsvhBD1hiA3JvJOnDjhqTP7\n9lsHublOKioqCQ/Xmy40zTRdeE+szO7SdajqLWjaE0DH1n9y2hQNmIf+PYxD01qrf1VwLgh5G4qS\ng6bpb6wslm5GEHIyrROELIB/YLUuY+rUybz44iysVmuTtV2apvHpp5+ycuVK5s2bx5gxY+RUTiJp\nBCnoJK2Gy+UiLi6Or776ip49ezJy5Mg6pojDhw8TFRWFoijY7XbuvvtuiouL/XdoSYsxTRfmJG/7\n9u0+povk5GT69et33qaL83HW6iHMurN227ZsIBxVHUhZWS9UdS1CRCDEPPzbXdpSzP7VSIR4Gb2a\nrS0xg5ALDJHnHYTczQhCHoleaXZZM7/mAWy2V7nsstN88MGbDB8+HDhX2xUSEoLVaq0j1EpLS0lN\nTWXAgAHMnTu3WU5vieRiRwo6Sauybt06T2zJ1KlTmTlzJitXrgT01PPly5ezYsUKQkJCsNlsLFmy\nhJ/85Cd+PrWkNTBNFzk5OR6RZ5ouhg0bRnJyMikpKURHR9e5qq0vPuV8my6EEBQXF+N0Ovnii3+Q\nkbGVo0f3ExZ2KUIkcvas2VkbD1jb/PloOYHUv+odhJwP5BpByFZUtStud1/0jLwx+AYhu1HVTwkP\nf48ZM6aRmjrdEz3SWG2X2+1m1apVfPLJJ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EFEaGgoS5cuZdiwYZSVlZGcnMyNN95IQkKC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\nPN6WgZTVAAAAAElFTkSuQmCC\n", "text": [ "" ] } ], "prompt_number": 16 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Aprende m\u00e1s" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "El siguiente video te ense\u00f1ar\u00e1 un desarrollo detallado de este Paso 5 (en direcci\u00f3n hasta el Paso 8). **Video Lesson 6** de YouTube:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from IPython.display import YouTubeVideo\n", "YouTubeVideo('tUg_dE3NXoY')" ], "language": "python", "metadata": {}, "outputs": [ { "html": [ "\n", " \n", " " ], "output_type": "pyout", "prompt_number": 1, "text": [ "" ] } ], "prompt_number": 1 }, { "cell_type": "code", "collapsed": false, "input": [ "from IPython.core.display import HTML\n", "def css_styling():\n", " styles = open(\"../styles/custom.css\", \"r\").read()\n", " return HTML(styles)\n", "css_styling()" ], "language": "python", "metadata": {}, "outputs": [ { "html": [ "\n", "" ], "metadata": {}, "output_type": "pyout", "prompt_number": 3, "text": [ "" ] } ], "prompt_number": 3 }, { "cell_type": "markdown", "metadata": {}, "source": [ "> (La celda de arriba establece el formato de este notebook)" ] } ], "metadata": {} } ] }