{ "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": [ "Los dos \u00faltimos pasos de este m\u00f3dulo interactivo ense\u00f1ando los principios de [CFD con Python](https://bitbucket.org/franktoffel/cfd-python-class-es) ser\u00e1n resolver las ecuaciones de Navier-Stokes en dos dimensiones, pero con diferentes condiciones de contorno.\n", "\n", "La ecuaci\u00f3n de momento en forma de vector de un campo de velocidad $\\vec{v}$ es:\n", "\n", "$$\\frac{\\partial \\vec{v}}{\\partial t}+(\\vec{v}\\cdot\\nabla)\\vec{v}=-\\frac{1}{\\rho}\\nabla p + \\nu \\nabla^2\\vec{v}$$\n", "\n", "Esto representa tres ecuaciones escalares, una para cada componente de la velocidad $(u,v,w)$. Pero lo resolveremos en dos dimensiones, por lo que habr\u00e1 dos ecuaciones escalares.\n", "\n", "\u00bfRecuerdas la ecuaci\u00f3n de continuidad? \u00a1Aqu\u00ed es donde la [Ecuaci\u00f3n de Poisson](http://nbviewer.ipython.org/urls/bitbucket.org/franktoffel/cfd-python-class-es/raw/master/lecciones/13%2520-%2520Paso%252010.ipynb) para presiones entra en juego!" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Paso 11: Flujo en una cavidad con Navier-Stokes\n", "----\n", "***" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Aqu\u00ed est\u00e1 el sistema de ecuaciones diferenciales: dos ecuaciones para las componentes $u,v$ de la velocidad y una ecuaci\u00f3n para la presi\u00f3n:" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$$\\frac{\\partial u}{\\partial t}+u\\frac{\\partial u}{\\partial x}+v\\frac{\\partial u}{\\partial y} = -\\frac{1}{\\rho}\\frac{\\partial p}{\\partial x}+\\nu \\left(\\frac{\\partial^2 u}{\\partial x^2}+\\frac{\\partial^2 u}{\\partial y^2} \\right) $$\n", "\n", "\n", "$$\\frac{\\partial v}{\\partial t}+u\\frac{\\partial v}{\\partial x}+v\\frac{\\partial v}{\\partial y} = -\\frac{1}{\\rho}\\frac{\\partial p}{\\partial y}+\\nu\\left(\\frac{\\partial^2 v}{\\partial x^2}+\\frac{\\partial^2 v}{\\partial y^2}\\right) $$\n", "\n", "$$\\frac{\\partial^2 p}{\\partial x^2}+\\frac{\\partial^2 p}{\\partial y^2} = -\\rho\\left(\\frac{\\partial u}{\\partial x}\\frac{\\partial u}{\\partial x}+2\\frac{\\partial u}{\\partial y}\\frac{\\partial v}{\\partial x}+\\frac{\\partial v}{\\partial y}\\frac{\\partial v}{\\partial y} \\right)$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A partir de los pasos anteriores, ya sabemos c\u00f3mo discretizar todos estos t\u00e9rminos. S\u00f3lo la \u00faltima ecuaci\u00f3n es un poco extra\u00f1a. Pero con un poco de paciencia, \u00a1no ser\u00e1 duro!" ] }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Ecuaciones discretizadas" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "En primer lugar, vamos a discretizar la ecuacion del momento-$u$, de la siguiente manera:" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\\begin{eqnarray}\n", "&&\\frac{u_{i,j}^{n+1}-u_{i,j}^{n}}{\\Delta t}+u_{i,j}^{n}\\frac{u_{i,j}^{n}-u_{i-1,j}^{n}}{\\Delta x}+v_{i,j}^{n}\\frac{u_{i,j}^{n}-u_{i,j-1}^{n}}{\\Delta y}\\\\\\ \n", "&&=-\\frac{1}{\\rho}\\frac{p_{i+1,j}^{n}-p_{i-1,j}^{n}}{2\\Delta x}+\\nu\\left(\\frac{u_{i+1,j}^{n}-2u_{i,j}^{n}+u_{i-1,j}^{n}}{\\Delta x^2}+\\frac{u_{i,j+1}^{n}-2u_{i,j}^{n}+u_{i,j-1}^{n}}{\\Delta y^2}\\right)\\end{eqnarray}" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "De forma similar para la ecuaci\u00f3n del momento-$v$:" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\\begin{eqnarray}\n", "&&\\frac{v_{i,j}^{n+1}-v_{i,j}^{n}}{\\Delta t}+u_{i,j}^{n}\\frac{v_{i,j}^{n}-v_{i-1,j}^{n}}{\\Delta x}+v_{i,j}^{n}\\frac{v_{i,j}^{n}-v_{i,j-1}^{n}}{\\Delta y}\\\\\\\n", "&&=-\\frac{1}{\\rho}\\frac{p_{i,j+1}^{n}-p_{i,j-1}^{n}}{2\\Delta y}\n", "+\\nu\\left(\\frac{v_{i+1,j}^{n}-2v_{i,j}^{n}+v_{i-1,j}^{n}}{\\Delta x^2}+\\frac{v_{i,j+1}^{n}-2v_{i,j}^{n}+v_{i,j-1}^{n}}{\\Delta y^2}\\right)\\end{eqnarray}" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Por \u00faltimo, la ecuaci\u00f3n de la presi\u00f3n de Poisson-discretizado se puede escribir as\u00ed:" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$$ \\frac{p_{i+1,j}^{n}-2p_{i,j}^{n}+p_{i-1,j}^{n}}{\\Delta x^2}+\\frac{p_{i,j+1}^{n}-2*p_{i,j}^{n}+p_{i,j-1}^{n}}{\\Delta y^2} \n", "=\\rho\\left[\\frac{1}{\\Delta t}\\left(\\frac{u_{i+1,j}-u_{i-1,j}}{2\\Delta x}+\\frac{v_{i,j+1}-v_{i,j-1}}{2\\Delta y}\\right)\\right.$$\n", "\n", "$$-\\frac{u_{i+1,j}-u_{i-1,j}}{2\\Delta x}\\frac{u_{i+1,j}-u_{i-1,j}}{2\\Delta x}\n", "- \\ 2\\frac{u_{i,j+1}-u_{i,j-1}}{2\\Delta y}\\frac{v_{i+1,j}-v_{i-1,j}}{2\\Delta x}\n", "-\\left.\\frac{v_{i,j+1}-v_{i,j-1}}{2\\Delta y}\\frac{v_{i,j+1}-v_{i,j-1}}{2\\Delta y}\\right]\n", "$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Deber\u00edas escribir estas ecuaciones en tus notas, a mano, siguiendo cada t\u00e9rmino mentalmente mientras lo escribes.\n", "\n", "Al igual que antes, reorganicemos las ecuaciones en la forma en que las iteraciones tienen que proceder en el c\u00f3digo. En primer lugar, las ecuaciones de movimiento para la velocidad en el pr\u00f3ximo paso de tiempo." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "La ecuaci\u00f3n del momento en la direcci\u00f3n $u$:\n", "\n", "$$\n", "u_{i,j}^{n+1} = u_{i,j}^{n} - u_{i,j}^{n}\\frac{\\Delta t}{\\Delta x}(u_{i,j}^{n}-u_{i-1,j}^{n})\n", "- v_{i,j}^{n}\\frac{\\Delta t}{\\Delta y}(u_{i,j}^{n}-u_{i,j-1}^{n})$$\n", "$$-\\frac{\\Delta t}{\\rho 2\\Delta x}(p_{i+1,j}^{n}-p_{i-1,j}^{n})\n", "+\\nu\\left(\\frac{\\Delta t}{\\Delta x^2}(u_{i+1,j}^{n}-2u_{i,j}^{n}+u_{i-1,j}^{n})\\right.\n", "+\\left.\\frac{\\Delta t}{\\Delta y^2}(u_{i,j+1}^{n}-2u_{i,j}^{n}+u_{i,j-1}^{n})\\right)\n", "$$\n", "\n", "la ecuaci\u00f3n del momento en la direcci\u00f3n $u$:\n", "\n", "$$v_{i,j}^{n+1} = v_{i,j}^{n}-u_{i,j}^{n}\\frac{\\Delta t}{\\Delta x}(v_{i,j}^{n}-v_{i-1,j}^{n})\n", "- v_{i,j}^{n}\\frac{\\Delta t}{\\Delta y}(v_{i,j}^{n}-v_{i,j-1}^{n})$$\n", "$$\n", "-\\frac{\\Delta t}{\\rho 2\\Delta y}(p_{i,j+1}^{n}-p_{i,j-1}^{n})\n", "+\\nu\\left(\\frac{\\Delta t}{\\Delta x^2}(v_{i+1,j}^{n}-2v_{i,j}^{n}+v_{i-1,j}^{n})\\right.\n", "+\\left.\\frac{\\Delta t}{\\Delta y^2}(v_{i,j+1}^{n}-2v_{i,j}^{n}+v_{i,j-1}^{n})\\right)$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\u00a1Ya estamos casi! Ahora, reorganizamos la ecuaci\u00f3n de presi\u00f3n-Poisson.\n", "\n", "$$\n", "p_{i,j}^{n}=\\frac{(p_{i+1,j}^{n}+p_{i-1,j}^{n})\\Delta y^2+(p_{i,j+1}^{n}+p_{i,j-1}^{n})\\Delta x^2}{2(\\Delta x^2+\\Delta y^2)}-\\frac{\\rho\\Delta x^2\\Delta y^2}{2(\\Delta x^2+\\Delta y^2)} \\times$$\n", "\n", "$$\\left[\\frac{1}{\\Delta t}\\left(\\frac{u_{i+1,j}-u_{i-1,j}}{2\\Delta x}+\\frac{v_{i,j+1}-v_{i,j-1}}{2\\Delta y}\\right)-\\frac{u_{i+1,j}-u_{i-1,j}}{2\\Delta x}\\frac{u_{i+1,j}-u_{i-1,j}}{2\\Delta x}\\right. $$\n", "\n", "$$ -2\\frac{u_{i,j+1}-u_{i,j-1}}{2\\Delta y}\\frac{v_{i+1,j}-v_{i-1,j}}{2\\Delta x}-\\left.\\frac{v_{i,j+1}-v_{i,j-1}}{2\\Delta y}\\frac{v_{i,j+1}-v_{i,j-1}}{2\\Delta y}\\right]$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "La condici\u00f3n incial es $u, v, p = 0$ en todos los puntos, y las condiciones de contorno son:\n", "\n", "$u=1$ en $y=2$ (la \"tapa\" en movimiento);\n", "\n", "$u, v=0$ en las otras fronteras;\n", "\n", "$\\frac{\\partial p}{\\partial y}=0$ en $y=0$;\n", "\n", "$p=0$ en $y=2$\n", "\n", "$\\frac{\\partial p}{\\partial x}=0$ en $x=0,2$\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Implementando el flujo en una cavidad\n", "----\n" ] }, { "cell_type": "code", "collapsed": false, "input": [ "%pylab inline\n", "from mpl_toolkits.mplot3d import Axes3D\n", "from matplotlib import cm\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "\n", "nx = 41\n", "ny = 41\n", "nt = 500\n", "nit=50\n", "c = 1\n", "dx = 2.0/(nx-1)\n", "dy = 2.0/(ny-1)\n", "x = np.linspace(0,2,nx)\n", "y = np.linspace(0,2,ny)\n", "Y,X = np.meshgrid(y,x)\n", "\n", "rho = 1\n", "nu = .1\n", "dt = .001\n", "\n", "u = np.zeros((ny, nx))\n", "v = np.zeros((ny, nx))\n", "p = np.zeros((ny, nx)) \n", "b = np.zeros((ny, nx))" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Populating the interactive namespace from numpy and matplotlib\n" ] } ], "prompt_number": 1 }, { "cell_type": "markdown", "metadata": {}, "source": [ "La ecuaci\u00f3n de presi\u00f3n de Poisson que est\u00e1 escrita arriba puede ser dif\u00edcil de escribir sin errores tipogr\u00e1ficos. La funci\u00f3n `buildUpB` escrita a continuaci\u00f3n representa el contenido de los corchetes, por lo que la totalidad de la PPE se hace ligeramente m\u00e1s manejable." ] }, { "cell_type": "code", "collapsed": false, "input": [ "def buildUpB(b, rho, dt, u, v, dx, dy):\n", " \n", " b[1:-1,1:-1]=rho*(1/dt*((u[2:,1:-1]-u[0:-2,1:-1])/(2*dx)+(v[1:-1,2:]-v[1:-1,0:-2])/(2*dy))-\\\n", "\t\t((u[2:,1:-1]-u[0:-2,1:-1])/(2*dx))**2-\\\n", "\t\t2*((u[1:-1,2:]-u[1:-1,0:-2])/(2*dy)*(v[2:,1:-1]-v[0:-2,1:-1])/(2*dx))-\\\n", "\t\t((v[1:-1,2:]-v[1:-1,0:-2])/(2*dy))**2)\n", "\t\n", " return b" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 7 }, { "cell_type": "markdown", "metadata": {}, "source": [ "La funci\u00f3n `presPoisson` se define tambi\u00e9n para ayudar a separar los diferentes ciclos de c\u00e1lculos. Ten en cuenta la presencia de la variable de pseudo-tiempo `nit`. Esta sub-iteraci\u00f3n en el c\u00e1lculo Poisson ayuda a asegurar un campo libre de divergencia." ] }, { "cell_type": "code", "collapsed": false, "input": [ "def presPoisson(p, dx, dy, b):\n", " pn = np.empty_like(p)\n", " pn[:] = p[:]\n", " \n", " for q in range(nit):\n", "\t pn[:] = p[:]\n", "\t p[1:-1,1:-1] = ((pn[2:,1:-1]+pn[0:-2,1:-1])*dy**2+(pn[1:-1,2:]+pn[1:-1,0:-2])*dx**2)/\\\n", "\t\t\t(2*(dx**2+dy**2)) -\\\n", "\t\t\tdx**2*dy**2/(2*(dx**2+dy**2))*b[1:-1,1:-1]\n", "\t\t\n", "\t p[-1,:] =p[-2,:]\t\t##dp/dy = 0 en y = 2\n", "\t p[0,:] = p[1,:]\t \t##dp/dy = 0 en y = 0\n", "\t p[:,0]=p[:,1]\t\t ##dp/dx = 0 en x = 0\n", "\t p[:,-1]=0\t\t ##p = 0 en x = 2\n", " \n", " return p" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 4 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Finalmente, el resto de las ecuaciones de flujo de la cavidad se envuelven dentro de la funci\u00f3n `cavityFlow`, lo que nos permite representar f\u00e1cilmente los resultados del programa de soluci\u00f3n de flujo en una cavidad durante diferentes per\u00edodos de tiempo." ] }, { "cell_type": "code", "collapsed": false, "input": [ "def cavityFlow(nt, u, v, dt, dx, dy, p, rho, nu):\n", " un = np.empty_like(u)\n", " vn = np.empty_like(v)\n", " b = np.zeros((ny, nx))\n", " \n", " for n in range(nt):\n", " un[:] = u[:]\n", " vn[:] = v[:]\n", " \n", " b = buildUpB(b, rho, dt, u, v, dx, dy)\n", " p = presPoisson(p, dx, dy, b)\n", " \n", " u[1:-1,1:-1] = un[1:-1,1:-1]-\\\n", " un[1:-1,1:-1]*dt/dx*(un[1:-1,1:-1]-un[0:-2,1:-1])-\\\n", " vn[1:-1,1:-1]*dt/dy*(un[1:-1,1:-1]-un[1:-1,0:-2])-\\\n", " dt/(2*rho*dx)*(p[2:,1:-1]-p[0:-2,1:-1])+\\\n", " nu*(dt/dx**2*(un[2:,1:-1]-2*un[1:-1,1:-1]+un[0:-2,1:-1])+\\\n", " dt/dy**2*(un[1:-1,2:]-2*un[1:-1,1:-1]+un[1:-1,0:-2]))\n", "\t\n", " v[1:-1,1:-1] = vn[1:-1,1:-1]-\\\n", " un[1:-1,1:-1]*dt/dx*(vn[1:-1,1:-1]-vn[0:-2,1:-1])-\\\n", " vn[1:-1,1:-1]*dt/dy*(vn[1:-1,1:-1]-vn[1:-1,0:-2])-\\\n", " dt/(2*rho*dy)*(p[1:-1,2:]-p[1:-1,0:-2])+\\\n", " nu*(dt/dx**2*(vn[2:,1:-1]-2*vn[1:-1,1:-1]+vn[0:-2,1:-1])+\\\n", " (dt/dy**2*(vn[1:-1,2:]-2*vn[1:-1,1:-1]+vn[1:-1,0:-2])))\n", "\n", " u[0,:] = 0\n", " u[:,0] = 0\n", " u[:,-1] = 1\n", " v[0,:] = 0\n", " v[-1,:]=0\n", " v[:,0] = 0\n", " v[:,-1] = 0\n", " u[-1,:] = 0\n", " \n", " return u, v, p" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 5 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Empecemos con `nt = 200` y veamos que soluci\u00f3n nos da:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "u = np.zeros((ny, nx))\n", "v = np.zeros((ny, nx))\n", "p = np.zeros((ny, nx))\n", "b = np.zeros((ny, nx))\n", "nt = 200\n", "u, v, p = cavityFlow(nt, u, v, dt, dx, dy, p, rho, nu)\n", "fig = plt.figure(figsize=(11,7), dpi=100)\n", "plt.contourf(X,Y,p,alpha=0.5) ###plnttong the pressure field as a contour\n", "plt.colorbar()\n", "plt.contour(X,Y,p) ###plotting the pressure field outlines\n", "plt.quiver(X[::2,::2],Y[::2,::2],u[::2,::2],v[::2,::2]) ##plotting velocity\n", "plt.xlabel('X')\n", "plt.ylabel('Y')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 8, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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cEof3FhCXEOGWH5UOh0vzQHx3I0nqj43mYt9kWcZW46Cmyk5NVe0J7+pydZUd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\n20PCiWSjbaSnmekz/s7lchvNP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xxy8zrHxcWdOcvasmULlmVRrly5gthdMUjHc+GhY/rq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\n", "text": [ "" ] } ], "prompt_number": 8 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Se puede ver que dos zonas de presi\u00f3n diferentes se est\u00e1n formando y que la forma de espiral que se espera se est\u00e1 empezando a formar en este problema de flujo en una cavidad con tapa en movimiento. Experimenta con diferentes valores de `nt` para ver el tiempo que el sistema tarda en estabilizarse." ] }, { "cell_type": "code", "collapsed": false, "input": [ "u = np.zeros((ny, nx))\n", "v = np.zeros((ny, nx))\n", "p = np.zeros((ny, nx))\n", "b = np.zeros((ny, nx))\n", "nt = 700\n", "u, v, p = cavityFlow(nt, u, v, dt, dx, dy, p, rho, nu)\n", "fig = plt.figure(figsize=(11,7), dpi=100)\n", "plt.contourf(X,Y,p,alpha=0.5)\n", "plt.colorbar()\n", "plt.contour(X,Y,p)\n", "plt.quiver(X[::2,::2],Y[::2,::2],u[::2,::2],v[::2,::2])\n", "plt.xlabel('X')\n", "plt.ylabel('Y')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 9, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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RpPYKxc+sY9+BUlavz+aDz7bzwuvrUCoF+iVHkDGkM+mDYugWH8TgSe/y4qOj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3akXPXCisS4dekx21ac4vt1fRQzyCtnHyRXHlva9hbTSPt9khI1zBq0mT7jmuJa3Pnvf+FfcnTH\nFcwsTPC+4ceoud+iSU5RZPLCkNbLOXPIS5oyQXyVpkwiEY3SmQG9Ticsk6hJSv7glxBNYhKmFubp\n1n0ZFMaVnce4tPUwbWYMplK7hkDqc6NJTCIx9jXmWa3e1Bb+EyL8gji1Yjvn1v9KUtyfO1NNLcxx\ndHUhh0tucubLjV0+J3Lmc8IunxP5yxUjmkdo8aYJ+f7VYwjyi2Ry73UkJWpo2a06pw7c5OaFR+h0\nekpWLED9NuVp3L5ShkfxJCdp3nxAxr1KYOOS42xZ5oFKraL3mCb0HtMEqyzpfy0+xPOn4Qxr+xP+\nj8OYuboXbXrWFKoPqVm+Pg0W4v8ojG0Xp1CoWMY3w7xPUqKG1mWmki27JTs9p2NkJP7L3IvwV9R1\nGU3/Sc0VGyZ/4fhd+jf9gUN351CklPg+bNP7b+TXDb9jZKQmT0F7Np+ZqEh/uZQULSVN+0hTJgg5\nZkkiEYDSSzUil3Y/lhXOiCEDsHV2pNm4PjQb1+edWjWVSoWZpUW6xmtZWmehfJv6OBbOR9A9X4Lu\nPyHoni+mluZMu7QNi6wf7iulxftftcMwGAzsWXeehaN3kBCfuhP2gVcAlWoXZfKP3ajXqpywflmJ\nCckMbf0jKw+NZLv7KdYt+I2E+GS6DqlH/0ktFGmZcO7IbcZ3X4O1rRW7rkxXpLg9JUXLyPYreHT3\nORtPT1DEkAG4zzxAsF8kK25/r4ghA9jufhq1WkXXIfUV0Qf4/be75MpjS+GSef7+zukgbyEH9HoD\ner2OCrWKKtbw18RE2giRyGdTIpEIxyq7mKW3LLbZKVqzPEVrln/n+lcRUW/6AX6IZHSU4Z/1qgsL\nesnU7zZw6YT3O9ePnt9e+AzEhPhkBjZfyvXzPjQsNI4XYTG07V2LITNakytPDmFxdDo9wf6ROOXL\nyYoZ+1k99zC1m5Vh4dYBijRI1ev1TOmzHs9T91l1eCRlqypT7uB94xkblxxj6Mw2iiz5QeprtHPV\nGdr1qaVYTzGDwcD5o3f4plkZxb7QubimZnPVahV9xykzy1MiHmnKJBJJpsPa/q8NzD9th6HT6blz\n5QlNOlSiWecqGBsboTZSY2ysxtjEGK1WJ6wgPj4ukQHNlnLzYupu3aSEZA7c/l6RpasNi48RHvwS\n/0dheJ6+z/DZbRk4paUidZsGg4HF43ZxeJsni7cNpFaT0sJjAGg0Wqb03YBrCWf6KVDTl8b+jReI\njYmn1+h/vunl3+DvG0aKRktwwAtqN1du3JKLqyOAkOV2yadDmjKJRPJFoUODHj2W/+D0ZmSkpnH7\nSoof0+vYRPo1WcJtT18AzC1MKeCWm3s3/YSbsns3/fhp2j60Wh3WNlasPTaGmo3F7jyG1KararWK\nix7ebFrqwaRlXWnRtZrwOGmsnX+Epw+C2X1thmJLZlqtjk1Lj9OwXUXFOvyvmXeEx96BmJgaY+dg\nTVRErCKbOvIUyIlKpVLUwErEI02ZRCL5otAQixnGqPhvtGTQJKeweu5hSlUqQKeBdSlePh/5i+RS\npB4qIT6ZsV1/RqtN3e1qbmlKUqK4+btvs2beEQJ8w/G5E0D/SS3oObKRInGu//4QaxtLVs85TN/x\nzShRPr8icbwuPyY08CXB/i9YvmeoIjEgtcby/i1/AMZ1W83BO98rEsfC0oz2/WrL5riZDGnKJBLJ\nF8V/bRC5qZkJYxcq06vwfRaM3oH/4zCMjY2o06IM335XmxqNSgqP8+xhCCd+vYHBYCBnruxUrVcM\nvV4vfHk0Niaeoa2XkytvDvIWsmfI9FZC9dMwGAwMbrWcrNaWVKrtRsmK6R8o/XeklZCpVCrmbuir\nSJuKNEbPb6+YtkQZvsqO/hKJ5MtFy53/lCn7VJw+eIsbvz9k3KKOnA9azor9I/imaWlFMnLrFhx9\n0zrAzNyEpESNIvVql054ExuTwKM/ArFzsMbz1H3hMSB1KHlM1GsCn0Vw78Yz5gzfqlhrhLTC/m7D\nGijWxy2N7LZim6JLlEdmyiRA6u4plUolu3BLMj3/Zufll0SBork45rNA8b/hYP9IDm/zxMzchH4T\nm/Pd+GaYWyiT7Tl/9M6bn62yWVCpdlFF4gQ+/XNGbslKBRi/pLNiz6NKBU757Bg591tF9CWZG5kp\ny2Tc2H9KkW9wBr2efTPc0ev1wrUT4+LRapSpa5FI3udrHUReoGjuT/Klav2iY9RqWpqj9+czdEYb\nxQyZTqfnwvE/AOgztinuB0ZglVWZ7v3Pn4QD4FrciRX7h2Nqqly+QqVW8/26PsKbA0u+DKQpU4DE\n2NeKaT84e43fFm8UrmtkbEzAbR9Wdh5LSrJYA2ViZsLSlkN5dsP77+8skWQAA3pS0JEV8WPHJKkN\nYhu0Lc/Ph0cptjsxjT+uPeX1q0TmrO/L+MWdFGsUC/D8aQT2uW1Yc2ws2bKL7+P2Nu361KJa/RKK\nxpBkXqQpUwCvw+d47HlbEW3bPI7snrgUr8NnhWsXr1eFa3s8WNxkAAmv4oTpGpuaUrhGOWZU6czO\n8UvQJCYJ09brdOyZvAzvk5c/+3gMyecnhXiMUWMkT22KYGJi/MkMxe0rT9h4ajzf9v1G8VhR4a9Y\n89tocucV18D3Y5SuLH4Gr+TLQZ65FECTmMTGATPR/kXH8fRi6+yAwWBgVdfxBHo/FqpdvF4VAB6c\nu8acb3oSHRopTLvugA4Ymxjz2+KNTC7dhocXbwnRVRsZUfHbRixuOpBJJVvx+8b9aJKShWhD6jzH\npPgEYXoSZUlth/H1Ffl/iXQZXI9Ktd0+SayBU1vJ1hGS/wRfrSlTonYqjZRkDUH3fPFYJmZI6tvk\nyJMLgKTXCfzQYjCvIqKEaTuXcCXb/zqlB99/wro+U4UtxWbLaUvVLs0ACPMNYEnTAVzfd1KIdv5y\nxWgyuidB95+wru9URrrUZ/+slcRGvsywtom5GTOrdOb7Wt3ZP2slDy/ekvVx/2FSiMNUmrIvAqVq\n1T7Ep8iQSST/hK/WlF3ddUyxDIj2fzVZ+2euJNI/WKi2rfOf4zKy2tlwdddxYdoqlYridSuT1c4G\nVCq6LZuARTZxW6objej+5ufC1ctRvlVdYdptZw7BvkDqYN/YiCjio2MxMcv4ST2rnQ1jjqwi3DeA\n/TNXMqdWdwbYVGVZm2FCTJ/P7zfw3HGUe6evEOj9mFcRUeh1ugzrfq3ouCczZRKJJNPy1Zqyx5dv\nc2HTAUW0tZrUZUtNYhJbhs4RWutk4+RAkZrlca1aBhNzMxoN7yZMG6Ditw2ZdX03tk72bB4i9thd\nShelbIs6DNuzFO9TnmwbtVCYtpmlBX3XzgRSs3KXfjmMv9cDIdo58zkxzmPtG4OanJBIrsL5yJIj\ne4a1C1YqyR8nLrOgQV8mlWrNEIea9DQtzfRKHYVmQd/GYDCQFJ9AckKiIvqfkyR0FMXmcx+GRCKR\npIuv1pSFPPTj+NIt6LRa4dra5JQ3W9Mts2fF/7aPMG0TM1PGHFlF41E9eHzZS6g2QKV2DbHP70yP\nFVN4cPYqV3YdE6o/aOsCKrdvTI+fJnPKfTsn3bcL0y5eryoNhnZlvvdB8pYqzIKG/bj4yyEh2i6l\nizLq4AqMTU3I7VaQo4s2MKtqZ/wyaPxMLcwZsHkePVZMwcg4dRu+Qa/HzMqCgNs+GV5mf3zZi1Vd\nx7Og4XdMKduW4Xnq0seyHBOLt0STIG7DxfvEhEUSFRiqmP7HSG2HYfbJ40okEokIvlpTFvrwGZF+\nQdzYf1q4tkOhvIw88BMAtfu2I3+5YkL1La2zUr51PWycHDi5YptQ7TTKNq9N+VZ12TF6odCdmJbW\nWQFoMKQLDYZ2ZeuI+dz1uChMv9uyCVg72DHh5Dqqdm7Kmp6T2DfDXUjGr1idygzatpCuP4xjyrnN\nJMYlML1iB7YMm0t8TGy6dVUqFQ2HdmXS2U1YO9hh4+RAbEQUixr3Z0zBRhyau4bokIi/F/oAhauX\no9GIbqQkJRNw5yEvg8JISUom6XUCGwfM5OiiDfj8fiPDS/lxL6K5/usJNg/5nvHFWjDWtQlGCg2N\nBkh6HU/wgyfvXJc2iNxK9sSWSCSZFJXhP9xHQKVSsc0gZgnqbRJjXzO7RjcSYuJoNr4PDYd2FR5D\nr9cz1LEWLSb1o8monsL1AQ7OWc2Z1btZ9uwExqbii2JfBIQw3q053X+cRJ1+4meo6bRafmg+mPCn\nz1nkc/RNpkgUBoOBg9//zL4Z7gzesZhqnZsJ0U2b8afVaPBYvpUDs1bhUCgvc+/sz3DzzpfB4Rye\nt5ae7lPx9bzN2bV7ubbHA12KllEHV1C2ee106RoMBrwOn2XXhKWEPvKjYtsGxEZE4XfrAZrEJNRG\nRpRoUI3xx9f8K93okAh2jFn0wYyqeVYrzK0sMLOyxMzKAjMrC9rOGkrJBtXS9RggdTfsSfcdnF2z\nh/6b5uJQMA+RfkFE+AWToI8gX1tL+rtUTLf+2zx/Gk7egqk1nAaDgWcPQzl98BYVahahfA1lxuO8\nCH/Fbzuv0mNEQ8UawT71CSExPpkSFZQZ7A1w/bwP5WsWUay3WFKihmD/FxR0y62IPqROLrB3ssFE\nwS8XEaEx2OfKeBnEh4iPS8TE1BhUKkWb4W5zP8WcYcqNpfo7VCoVDw1iNtUVVfX47K2VvkpTpk1J\nQW1kpPhYoaTX8ZhnUa4RYWJcPGojNWaWynS5BojwC8I+v7Ni+gmv4oiPjiVnPifFYvicv06RWhUU\nmc0H8OJ5CBFPAylWp7IQvfcHO8dHv+LS1iPU6N4CKxvrDGlrU1I4v34fltmzUq1zM7QpKQR6+/L0\n2h/otVoaDvv3NYoGg4FA78dc2XmMq7uOEekfTHZHOxqN7EFyfOL//iWQHJ9I/cGdca1a5l/H8PN6\nwPGlm7m22+ODJQdGJiZUHVGNIs1dGPdN/X+t/zZxrxKYP2oHJqZGtO5ZgzMHvTh98Bb+j8MwMzdh\n3KJOdBvWIEMxAOJfJ2FpZYZKpSLm5Ws2Lj7G1p9OojZSc+juXJzzix8VdXTnFab320iZqoXYeGqC\ncH2AI9s9GddtNQu29Kd1jxqKxFg8fhe7Vp/lbMAyrG3En2MNBgNtyk6jYLHc/LBjsHB9gCC/SOoX\nGMOa38bwTdPSwvXvXH3ChO5rSEzQ0HNkQ/qOE/Ol9H0ObL7IpN7rpCkTxFdpyiQSiTIYDAaeXL3L\n1V3HaDauD7bOjhnW89xxlNMrdxJ0/8k7LVqqdm5GvYEdyZnfCZvc9rwyOghAA9Lfb+rSSW+m9t1A\nWNBL1GoVer2B7DmyUKd5Geq1Lk+1BiWwtMp4zdrr2ET6N13CqsOj2O5+mk0/HEeboqPbsAb0HdcU\nG7usGY4Bqc+fSqVCk5zC/FE72PnzGZp2rJw65keBkUXnjtxmaJsfad6lKvM391Pki9Cdq0/oUv17\nhs9ux8ApLYXrQ+r74LtGi1nvMY4ajUoK14+NiefwNk8WjNqBZ6S7IlMEoqPiqGo3BIAlOwbRvHNV\n4THS+Jxm5kszZbL4QiKRCEOlUuFatUy6smEf06vetQXVu7bAYDAQHRJB8IOnBD94SmxEFK7VyrxZ\n9k5GT3Fs0xUnPi6RReN2sXvNuTfX6fUGFm8bSJOOlTE2Ftdm41V0PP0aL+aP689oVGgcCfHJdBxQ\nh/6TWghdyoqPS2Sb+2madarCyA7uPLr7nGnuPegyuJ4iKwTXf3/IyA7ufNOsNHM29FXEkCUnaZjc\nex1uZVzoO76pcP00Niw6RtHSeaneUJnpBf2b/IBer6dcjcIYmxj/v+y4CLLbZiFbdkusbbPQuH0l\nodoS5ZCmTCKRZApUKhW2Tg7YOjl8sC5Ng46s6RhEnpiQzMYlx9EkpdCuTy2MjNSojdQYGamJe5Ug\n1JBFv4ijT4NF+NwJAFKN38E7cxSpjZozbCuXTnizYdFvZMlmwfZLUylVSeyIH51Oz4HNF3Er68Kg\nFkspXaUQy3YPEV6HlRCfjKWVGe4zDxD4NIJfb85SpNbr0R/PSUnRceXMfZZsH9JkN1wAACAASURB\nVKRYeYvfo1BeRcdjbmHKhO6r+WnfcOExVCoVLq6OtOtTS+h7WKIs0pRJJJJMjwEDyejIko5B5BaW\nZgyb1VaBo3qXF+Gv6F1vAb73UxtK53S0xq2sC943ngk3ZUd3XOHAlksAWNtYseXcJEUGiB/fc42l\nk/ZgMEC+wo6sOjQSM3Pxm46WTtpDyYoF2LD4GENntqFIqbzCYwCM7boacwtTnFzsaNRezIaRD6FS\np5o9E1Njprn3UMz8VahVhDa9lKnrkyiDNGUSiSTToyd1isZ/tZu/JjmFXT+fpUW36hQr60KR0nnI\n6ajMrrvAZxHMGLjpzeWs2S05f/QO3YY1EPrhr9fr+fn7Q7yMTG2Z029CM3Q68ePrDAYDJ/fdZNuK\nU+TOm4MO/eu8qZUTiVarw+9hKFqtjuy2WZg5cDOz1/ZRZAdp2rFPXNoZ+9zKNTseNLWlIiZZohzS\nlEkkkkxP2iByFcrtps4IpmYmDJ3ZRvE4KSlaxnRehV6np03PGrTpXYsKNQsrUt91ct9NnvqEAGBp\nZYZWq8fCUrwBuO/lT0RINAAhz6NYM+8IE37oLHxJLvR5FFpt6oizbDaWjJ7fQbGWHioVVG9Qgra9\naymin4YSGwgkyiJNmUQiyfRo5CByAC6fvEengXVp9G1FRXZXpqHX61n1feq0jOZdqjJuUUccnNK3\nyeLvOHf4NgDGxkZMW9mDjv3rKBIn4Ek4ADZ2WVnnMY4c9tkUiQOQJZsFs9f2VrQlkyRzIk2ZRCLJ\n9Oi5g9nXO6DkDbWbidn1+necOeSFkZGa7RenKtZIN41zR26T3TYLP+0bRqXaborFCfANx9zClNVH\nR+NSyEGxOABjFnbEKZ/4PnSSzI80ZRKJJNOjQYdbOtthSP49do7W/HpzlmLLe2mEBkaRotGy98ZM\nRTYqvE2QXyTLdg+hdGWxO1Q/RKN2ym0ikGRupCmTSCSZHk06d15K0kfZqq6fJE58XBI7PaeTJZty\nS7FpdOhXm/xFcikeRyL5K2S+P5NhMBh48TxEEe2k1/H4nL+uiLYmKRmtRqOItkQiTdmXSaFiTp/E\nkAHSkEn+E0hTphAfms8nApVKxcb+M98ZNyMK8yxW7Bi7mMvbjwjXNjY1YWXncTy+7CVcG1LngEq+\nTvRo0WHAQib+JRJJJkeaMoU4vnSLYtoJr+Jw7zRGEePnVrsiP3ebwKF5a4XOAFOr1ZRsVJ3ZNbqx\nceBM4mNihWkDnF65g/XfTSPgjo9QXcl/nxTiMfkPt8OQSCSSf4o0ZQpxaO4aAr0fK6KdI28u7h6/\nyI6xi4Vrl2yU2v1575TlbBw4S6jxq9G9Jdly2nJ2zR4muDXn2l4PYcavyeiePLtxjyll2/F9zW5c\n3eOBNiVFiPbLoDB+GT6XC5sPEP70+WcfWCt5lxReYypPZRKJ5Avgqz2TvQp/gV4vvvt0GsnxiWwc\nMFORGHYuqSNZTvy4ldM/7xKqXaRGOUzMzQA4t3YPy1oNJem1mKVBUwtzGgztAkBM2AtW95jEiZ+2\nCdE2NjWl/+Z5qI2MeHTJC/eOoxmVvyEPL9zMsLatsyNlW9Rh44CZjCnUmOHOdXDvNIbTq3byIiDj\n9X1hTwLwu3WfCL8gEl7FSdP3L0k1ZbJHmUQiyfwoYsr69OmDg4MDJUuW/Oh9hg8fjqurK6VLl+b2\n7dtKHMZfcv/sNe4eu6CItl6vR6/T4XvlDufW7hWunyPvnwWpO8YswvuUpzBtUwtzitaqAICZlSVd\nl03E1FJcoW39wZ3fmL6c+Z2p2aOlMO18Zd1oObn/m8supYtQqEopIdolG1RjyM4lqNRqokMiuLr7\nOLePnsfK1jrD2tb2OTi6cD2jCzSkf/bK9DQpxWD7Gkwu05Zgn6cCjv5ddFot0SER+Hk9INI/WLj+\np0bPPZkpk0gkiuDh4UHRokVxdXVl4cKFH7yPSD+jyJmsd+/eeHh4fPT2Y8eO8eTJE3x9fVm7di2D\nBg1S4jD+ktCHfvy2eKMi2rqUP5f8dk9cSnRopFB9O5fcOLq6ANBr1TSK160sVL90k5qM3P8TKrWK\n3xZvFDqiJaudDbV6t2H43mXEhEayvM1wUpLF7cpsPXUAeUoWpmyLOnif9GRhw37EvYgWol2xbQP6\nbfj+zeU/Tlxm1/glGda3yJaFobuX0v3HyRgZG6PX6YiNfIlKBRHPgjK8hBzs85TlbYczqVRrBtvX\noJdpaYY51WZpi8GYWYnf2WYwGAh+8ISTK7Zx1+OicP230ev1aNBRCGXmSEokkq8XnU7H0KFD8fDw\n4MGDB+zcuRMfn3frlkX7mY9+2jZp0gQ/P790idasWRMbm48PWT18+DA9e/YEoHLlysTExBAeHp6u\nWOkl9JEfDy/c5On1P4RrazV/1jJZO9pxaoWYJbo0nEu4MvH0Bko2rI7H8q2oBM+1qzeoExXa1KfD\nvJGcX/8rDy/eEqrfYd5IKn3biFEHV/DY8w7r+k4VtmSXtozZbdkEJp5aT6D3Y6ZX6kjQ/SdC9Gv1\nakO35ZNoMKQLnRaO4fL2o4wt3JSTK7Zl6DGoVCoaDe/G1Au/YOvsiJGJCVpNCj80H8SIvPXYNeGH\ndLdCcXIrSO/VMyhWpxLxMX8uj0aHRDCtQnuWtx3OoXlruX/2arqP/2VQGBe3HGR1j4kMc6rNhOIt\n+WX4PKKeh+J15Bz3Tl/h8WUvYQY57kU0B2avYv8M9zftMJKTNIQ8jxKin0bMy9fvvK5arY7EhGSh\nMd4nJUWZndtvI5fIJaJ4HZv4uQ9BMa5fv06hQoXIly8fJiYmdOrUiUOHDr1zH9F+5qN7yPv06UOj\nRo3o2bMn48ePx8REXA+g4OBg8uTJ8+ays7MzQUFBODgoO9ribap0akqxOpXInkv8qAutJoXmE77D\n1NyMEg2rUbhaWaH69vmdAWg+oS+PL99Gl5KCsam4QcAmZqla9Qd1wv/WA8wszYVpA1hlT50p5/ZN\nRQZsnsuTq3cx6PWojMTUBeUvVwwAh4J5mX1jDys7jxW6YaHxiO68CAjBziU31bs1Z8/k5dw/e42G\nw7plWNu1ahnmeP3K6h6TGHNkJf5eD7iw6QBn1+yhTPPa2OXNnS5da/scdP9xMo1G9mD/DHcubztC\npfaNsHV2xO/mPY7MX0uuogX4/saef62dGPuaq7uPc22PB0+ve79z28YBM9+5PGTnEqp2apquxwAQ\n5hvA8WVbuLj5IJrEJFyrlqHIuHp0qTGTAO9Q7HPbcCH4x3Trv825I7dZOfsgv5yfzOWT3pw56MX5\no3cYMKUFvUc3ERJDp9MTFhiFU76cxLx8zcYlxzn0yyUOe8/D2kb8MOnkJA3zR+3AwtKUCT90Ea4P\nEBsTz+hOqxg1rz3Fy+VTJIb3jWfsXXeeicu6YmllpkiMjT8cJ3feHDRuX0m49r2bftjnzs66hb/R\nZUg98hdWpkfagc0XQQXV6hdXbDbp+O6rFdH9N/zBC0V0P+RVrl279rf3yYif+agpa9++PU2aNGH2\n7NlUqFCB7t27vxmeqlKpGD16dLoCpvH+N7WPDWbdP3Plm5/dalfErbaYP5AKresJ0fkQWWyt6bQg\nY8/PP6F43SoUr1tFMX21kRH9N81VTB+gWpfmVOvSXDF9+wJ5mHl1l/DBv2mbLbI75qT/xrlCTV+2\nnLaMPboKgIKVSlGwUim6Lp3wphYvI9jnd2bgLwtoOrY3z27co3bfdkDqMmB6s1gW2bLQdExvmo7p\nTYRfENf3nuDaHg+e333E3Dv7scyelZSkZDSJydg6p+9E9eTqXY4sXI/XobPvnDtevYjEyMyYRs3K\n4zzMnrwFMz6KJzYmnvkjt3NgyyXMzE2oajeY5KQUChTNRYf+taneoESGY0Bq1m1Sr3W4lclLQnwy\nm5d6kKLR0mVIfUS+XR/c9qdwyTwE+79gVAd3fO8HM3GpMoYsMSGZgc2X4nsvWOhjeJvkJA2Teq3D\nxNQYYxPxGzxSUrS8jk1kxfR99BzVWBFT9tQnhH5NlhD9Ig5rWyuqNyyhyJSEHavOpBrY6zOFmrLr\n5324fv4hkNrg9+zhT18X/jYaGqfr93zOX8fn/I2P3v5PPzf+qZ/5J/xlt0UTExOyZMlCUlIScXFx\nwmqLnJycCAwMfHM5KCgIJyenD9637cwhQmJ+SkQbAEnG+BSvh5Gx2Mal6veyhqYWYrOVeUsVIW+p\nIn/GU6uxts+RYV37/M40H9+X5uP7Ev70OXqtDlunjGfA85Vzo8O8kdTo3pIQn2cE+zwlxOcZFg4m\nmBsbM3p+hwzHALh0wpspfdcTHpxqUJOTUmjZrRoDp7SkQNH0ZSk/hEajZWyXnzm57wZHtntiYmpM\nxwF16D+pBfa5xNXHvY5NZGR7d9r0qsmGxcfIniMLOz2nUaJ8fmExAPasO0+TDpUY1XElPrcD2HBy\nPMXK5hMaI8gvElMzY7b+dJIA3zD23piFqan4hsEzBmzGziEbOp2BbsMaCNcHUKkg+kUcANvdT9Nl\nsDJJAhdXB7Jks6BkxQJCdSvVdntnOPzaBUeF6n8q3GpXeifRs3/Wynduf9+rBAYG4uzs/Jf3+Ss/\n80/46Dvaw8OD0aNH06JFC27fvo2lpWW6g7xPy5YtcXd3p1OnTly9epXs2bN/0qVLiUSiPA4F8wrT\nMjY1xcmtIE5u7w6LjtMHE0PGNxMYDAYObb3Mvg2/4+LqSIGiuVEbqVCr1RgZqXHMk3HDmkZykobh\n7Vbw+7G7b64b8X07vhvfTFgMSH1MswZv4fnTCH6cto8Gbcozd+N3ZMsudlk0IT6Z5VP2snHJMYL9\nX/DzkVGUq15YaAyAk/tvcvaQF16XHzN0ZhuKlhb3/kpDr9dzbNdVkhI1FC+XD89T92jeparQzU7w\n7hfFqSu6Y5szm1D9NPK5OtKuTy1FtL8GKlSogK+vL/7+/uTOnZvdu3ezc+fOd+4j2s981JTNnTuX\nvXv3Urx48X8t2rlzZ37//XdevHhBnjx5mDVrFin/a+Q5YMAAmjZtyrFjxyhUqBBWVlZs2rQp3Q9A\nIpF8vejUiZgJ6FGmUqlo3aMGrXvUEHBUHychPpkhrZZz5cx9rLKaU6RUHtzKuJDNxor410lYZRGX\nET34yyWObP+zXU5k6CsS45OFm7JdP5/hZWQcLyPjqFTbDRu7rEL10zh7yIubFx+hVqtI0eiIiogl\nh71YMxMREkNSYupucJ87AWTNbinckMGfpqxOi7I07Sh29/zbNGpfkULF0p+1+doxNjbG3d2dRo0a\nodPp6Nu3L25ubqxZswZQxs981JRduHAh3cs+7zvJD+Hu7p4ubYlEIknDwB+YZKIeZbc9fek8uB6z\n1/bGKZ+dIh/4AH6PQpk9OHXUW/Fy+WjdswbNOlcRnpFJiE9m/aLf3lzObmtFtuziVlXSiH4Rh9fl\n1AkpRkZqnPPbCTdkAAG+YW9+nrm6N3Wai92klYZKrSJLNgtm/txT0fIK1+LOf38nyV/SpEkTmjR5\nd2PPgAED3rks0s981JTJuiiJRPJfJwUdhfl4+53/GqI2CfwVqTsst9N5cH1a96xB4RLKfTCnZclc\nSzgzeXlXqtb79ysr/4TzR++g1xuwzZmVFftHUL6G+OVRAH/f1FYGQ6a3pkO/2orEgNSasgk/dFZs\nR6Qk8yK+SlIikUg+ESnosZSnsXfQ6QysOjwKY2NlR08lxCezb+MFpq/sQYf+dRSNd+aQF0VL52XV\n4VHkziuuvu99AnzDadenFkNntlEsBkDpKoUUfRySzIs8m0kkkkxLqikT10PxS0Cpvl3vEx0Zy/ZL\nU8lum0XROIkJyWTJZsGOy9MUf2wurg607f2t4itFTi52iupLMi/SlEkkkkyJAQMp6LCSp7HPglM+\n8Y23P4RarWLepu8Uq797mw79asvSHclnRZ7NJBJJpkRPCqDCRMDuS8l/FzNzcdNK/g5pyCSfm8yz\nbUkikUjeQktiptp5KZFIJH+HPKNJJJJMiZYEjOUpTCKRfEHIM1omJC4qRjHtCL8gXjwPUURbk5RM\nYly8ItqSrw8tidKUSSSSLwp5RlMITVKyYtq+nrc5t26vItrZHe2YV6c3z254C9c2MTNldfcJXNl1\n7P8NcBXBY8/b0vR9RehIxARZAySRSL4cpClTiOM/bFbMIOTM78ymQbP548Ql4dqmFubkdivAnG96\ncmP/KaHaKpWKmj1bs7LzWBY06EvIw2dC9S2yWjEqfwM29J/Bs5v3hGonxSfg8/sNkl5L0/dfwYAP\neVBmpI9EIpF8Dr5aU6bX6xXVj3gWyK9Tf1REO2d+J/Q6HT+1H8XzPx4J1y/T7Bs0iUn82G4ERxau\nF5rVKteqLrndCnL/zFUmlWrD7knLSIpPEKKdp2RhWk7qx7l1e5lesQNTy3/L2TW7hZhjcytLgu75\n0j97FaaUbcumQbO4+MshQh/7C3l+kl7H8/plDDqtNsNaXwsp6LGQG8glEskXxFdryoLvP+HxZS/F\n9HVaHSdXbOfJtT+Ea5tbWZLNPgdJcfEsaTaI6JAIofplmtZ68/PuiUtZ/900tBqNEG21Wk3LSf0A\n0KWk8PuGfZxZtUuY8Ws8qidu31QEwN/rAYfmrcX75GUh2g2GdKHTojEE3HnImdW7WdNzEtMqtOfW\nwTMZF1ep2DFmMT1NStHHshxDHGsxtnATplVoz7W9HhnXfwutRsOLgBAeX/bi6h4P7npcFKr/Pkot\n5WsxSFMmkUi+KL5aUxb6yI/fFm9UTF+v1WEwGNjQbzralBTh+vYFUufZvQwKY0mzgUKXSu1ccuNc\nvBAA2XLa0mbGYNTG4j78qnRqgp1LboxNTdAkJlGsbmVh/YHUajUDtszHPKsVALHhUSQJfG6aju5F\nh3kj/4xnZESkf3CGTau5lSX9N81l4C8LUKnVvAp/QZhvAOFPA9FpdSQnJGZIPz4mlk2DZzPYoSa9\nzMowMl99ZtfohnvH0ajVaqHZUL1ej9+t+xyev5a5dXqxffRCYdpvk4IO4vXsWHUajUbZDGNignI1\nohKJRJLGV2vKogLDeHrdW3iWKQ2DXk8WW2tcyroR+shfuH7O/M5kd7Qjm30OJp7agJGJ2IxBuZZ1\nGLx9EfExcXif9BTaTdvYxITm4/sy6pA7uYoWYGWXceh1OmH6di656ek+laZje1OlU1PW9p7C9X0n\nhem3nNSftjOGYOPkQMW29dkxZhHf1+ohxNjU6N6SObf2krd0UQCsbLKxqss4hjjUzFDGzyp7Nnqt\nnMZ362e/0U5jYaN+DMxRjZVdxqVbX6/Xc3WPBys7j2WwfQ2mVWjPnsnL8Tl/Hd/Lt1nYqB8/tBzC\nwws30x3jbaJDI0lMTqF9sans/PksJ3+9warvD7JsitgNMLEx8UzqtZZr53wIC3rJjlWn+eP6U6Ex\nAC6dTN1Y8yo6nn0bfxeuD6BJTv1yGOQXyeN7QYrESMP7xjNFNvOkodFoCQ54oZh+VEQsL8JfKVrm\nEvI8iqREMSsQH0On0yv6OgAc2Kxspv1rQ2VQ+hXLACqVim2GB4poa1NSwGDA2FSZbtERfkFY2WTD\n0jqrIl2ibx89T/4KxTExM8XKxlq4fnJCImaWFgTcfUjeUkWEP4aUZA3GpibERr4kNuIleUq4CtU3\nGAzEhEaSPVdObuw7SfnW9TASmO0zGAxc2XWMap2bEXD3IVEBIZRrWVeYviYpmR1jFlG6SU0cXV24\nvP0oDYZ0xtoh4zPz9Ho9N/adZN90d0zMTWkzYwjP7zxEbWxE66kD062bnJCI94nLXP/1JF5Hzr3J\nULp9UxFLm2zoNCk0G9/3zfJyegj2ecqxJZu4tu84o8KGMd9i0ZvbrG2sKFIqD7+cn5xu/be56PEH\nU7/bQHhwNC6FHAh4Eo6RkZoxCzvSZ0wTITEA1sw7zIHNl2jetSpblp0gOSmF4w8XCB1j5H3jGZ6n\n75PP1YGp322kVKUCbDg5Xpg+QGhgFCEBUUSERDOm8yrmb+5Pq+7VhcaIiojF914QV88+YMfK05z2\n+4Fs2a2Exoh/nUTPOvMxGAwULuHM/M39heqn0aLEJEKeRzFoaiuadqqiyIDyH6ft4/iea+y4NBXb\nnNmE6wNscz/FnGFbFTd/H0OkT+imKvbZHkcaX60pk0gyA5rEJEwtzBXR1ut0XP/1JJXaNxI+V1CT\nlMy9U55c//Ukdi65+Xb2sAxrvgp/we8b9xPi84yY6FDq/VyZH/O4Y2JixK83Z1GkVF4BRw6vYxNZ\nOGYHe9f/mbHKlceWEXO+5ZtmpbHJIWbHp8FgYNnkvaxdcBQAE1NjOg6oQ/+JzbHPbSMkBqRm+9qW\nm05cTAKvouOp37o8czd+h7WNWDMzfcAm7t/y49HdQBq0rcCSHYMwMhL7vtq7/jyr5x4m9H9mZtis\ntkL1AR7c9qdtuekAlKlSiG+/+4Zv+34jPE4Nx2G8CH9F6coF2XF5mvDnCmDzMg+8Lvvy068Z//v7\nK4qqxKwUpIcvzZTJKlmJ5D+MUoYMUuvhqnQUl/F5G1NzM8q1qEO5FnWELQFZO9jRclJq1iKJKMIN\nJ/k9aDnPHoaSnCSmbtPvcShzhm0lPCga1xLOGBmpUatVqI3U5C1oL8yQ6fV65o7Yxnb302+uc86f\nk04D6wo1ZAaDganfbSTILxKAQsWcmLm6l3BDFvgsgv0bL6DV6sieIwt9xjZBrRa/QnD6wC2C/VOX\nLX3vBxP4LII8BeyFxvB/HPbm5/i4RBq0rSBUPw2VKtWIz934nSKGDMDF1YHyNQoroi1RBmnKJBKJ\noojOwgFoScJYpcbByRYHJ1thuvkL52LDCbHLeu+j1eqY1m8jx3dfo2TFAhQplYfCJZ0pUioPORzE\nLjHtWHWGk/tuAGBuYUrRMnl55hOCnYPYkodV3x9Cq02tCzU2NuLh3ecUK5cPIyNxxux1bCKep+8D\nYGllRrPOVYQbMgC/R6mmzNHZlnUe44Qb2LcZOqM1hYo5KaZfrX7xTzrQXZJxpCmTSCSZDh3JmXbE\n0quX8QyY3II56/sqliEBuO/lz+Jxu6jeoAQtulWjQZvyWGW1EB7H3zeMQ79cwtTMhF6jGzNgUnNF\n4lw4fpcUjRanfHasOjRS2HL1+/g/DsPaxor1J8bh6CzO8L9P8fL56TOuqWL6gDRkmRBpyiQSSaZD\nRxLGmXTEUg77bOSwV6boOg2DwUBY4EtOPlksdDn0Q6yafZDG7SsxZkEHoZsT3uf0gVtUqVuMZbuH\nYGOn3CSHsMAoVh0epWgGC2D6qp6YCN41L8n8yHeERCLJhPhglEkzZZ8ClUpFvVblFI+TlKih69AG\nlK5cUNE4muQU8hV2ZNG2gRgbGykaa+jMNp+kDkuJ3ZaSzI80ZRKJJNOhRU9hlM0ASf4ecwtTxQ0Z\ngLGJEcNnt1M8DkDlOsU+SRyJ5EPIr5oSiSTTocWAGcpmTCT/HZTYLCKR/BeR73SJRJLp0KHHXJoy\niUTyhSFNmUQiyXRo0ctMmUQi+eKQpkwikWQ6dBgwlaZMIpF8YUhTJpFIMhUGDNKUSSSSLxJpyiQS\nSabCgBY1oM6kfcokEonkY0hTlkmJ9A9WTNv7lCfx0a8U0Y6LiiH0kZ8i2pKvAx0a2aNMIpF8kcgz\nm0JE+gcLG8T8IXaMWaSYMTOzsmB6pY4E+zwVrp3F1pqNA2aybdQCRYzf5e1HOLJwPS+Dw4Vr6/V6\nDAaDcF3Jv0NHMkYySyaRSL5ApClTCL9b9znz8y7F9M2zWrGwUT/iXkQL1y5UpTTJrxOYUbkTXkfO\nCdVWqVS0njYQj+W/MMa1CadW7kCn1QrTr9yhMV6HzjIibz0WNurH5e1HSE5IFCNuMLBz3GLm1+/D\nzvFL8Nz5G6GP/ISZb2n4/hl6mSmTSCRfKF/tmS0x9jXPbngrGmPXhKWKZbMcC+cj7LE/S5oPIik+\nQai2Wq2mXKu6JMXFs6zVUA7NXSPUMBSrW4WitSrwOiqGLUPnMLl0G7xPXhaibWxiwuAdi7HIlgXv\nk5f5udsEhjjWwuPHrRl+DGojIzotGot9gTz8tngjq7qMY1zRZvS3rsTxZVsyfOyaxCS2jphHP+tK\nDHGsxaj8DRhfrAVTy3/LoXlrM6yfRlJ8AsE+T7nrcZGza/ewZ8py9s9aqZgpjA6J4OIvh9AkJgnR\nS12+fDdTlpSoITIsRoj+R+PqlMt8SyQSCXzFpizMN4AjCzcoF8BgIDk+gQ39pivyYZersAsAz+8+\n4tAcsaYJoEKb+kBq9ubhhZv4ez0Qpq1SqWg3a+iby1pNClnsbIQ9hpz5nPhu/ew3l82tLCjfqi4q\nVcaXvNRqNb1Xz6DeoE7vXG+T2z7Dx29maUH3HyczaNtC9Dodkf7BhPg8JeC2D2ojNa8iojKkr9Nq\nObZ0M0MdazGhWAsWNxnAxgEzOTxvLfHRsfjf9smQfhopyRrun73KzvFLmFy6DcOcanNxyyEi/YNJ\njH2dYf23TVn0izhWzj5IvXyjSUrQEPMy4/of4swhL36c+isGgwGNRlxm923OHb1NyPMoRcse7lx9\nAiiXlTUYDDz1CVFEO42XkbGKG3ClXuMvkZQU+VyJRGX4D6+ZqFQqthnEmYG3Cbr/hD88LtJoRHeM\njMWPAL1/9ireJz2p1K4BecsUxdjERKj+8z8esW+GO7mLFqDj/FFCtQG0Gg2j8jckf4UStJrSn4KV\nSgmPMa9ub+KjX5GnZGH6b5qL2khsi4NNg2fz4Ow19FodQ3YupkDFksK0DQYDW0fM4+SK7RStVQFT\nC3PGe4jLZsWERbK21xT+OHGJHHlyERMayfgTaylet0qGteNeRHN86WZOrthO0us/s6z5yroxx2tf\nhrR9r9zhl+Hz8Lt574O3D96xmGqdm2Uoxkse8Drai3tTr7F/00WSEjVA6hzG7DmycD5weYb03yb6\nRRxzhm/lt51XKeiWm/i4JPqOa0r34Q2FxQA4vO0yk3qto32/2lw984B9J6UH8QAAIABJREFUt2Zh\nldVCaIwrZ+4zc+Bm6rYsi4WVmSKzJM//doft7qexsDRl1Pz25C+cS3iM3WvOcvbwbQq45WbU3G8x\nNRN7bgVYM/8IKclaytcsTNV6xYXrA5w6cJPI0BhadquOVVZzIV8a3+fZwxAeewfRsF0FxUZVDWm9\nnDOHvD5b+YVIn9BNVeyzl5F8taYss6PVaEClEm723sbP6wH5yyk3nPfRpVtYO9jhUCivIickTWIS\nV3cfp3q3FooYb4PBwI6xi2k/Zzh6vR5zK0uh+nq9nlPuO4h7EU3jkd2xtM4q1LimmbPTP+9m3p39\n6LRaHArmFaId7POUmwfOcGPfSfy9HlCqcU1aTPyO3EXzY+1gl25dbUoKN2/8hM/5p5yZcv6d2zoN\nrEv1hiVo0KZCBo8+lRP7bjB78BaiImKB1PNR50F1adOrJiUrFhASA2DrTyeZO2IbACYmRnz7XW2G\nf98WmxxZhcUID35Jm7LTeBkZh7GxEaMXdKDPmCbC9CH1/dq6zDQeewdiYmrML+cnUbaqq9AYAL3r\nL+TKmfuYmBgx+cdutOhajSzZxBrYEe1XcOLXG+RzdWTUvG9p9G0lofoAi8btYuOSYzTvUpXF2wYq\ncg48d/Q2BzZd5Kd9w4VrpxEVEUt1h6HSlAlC/CeV5JNgbGqqeAwlDRlAkRrlFdU3tTCnVq82iumr\nVCq6LBn35mfRqNVqGg3vRnJCImaWYj90ALLa2dBh3iiajO6FTqvFziW3MG0nt4I4uRWk1eT+RPoH\n84fHJQpXL5thc2xsYkKhai7Uq1qCGb3a8OxhKM8ehvDUJwSbHFmFGLL410ksnbSH47uvAZDDPhuQ\n+ho7ONsKM2QGgwH3mQdYOfvgm+t0Oj15CuQUashSUrSM7LCSl5Fxb6579fI1er1eaPbkt51Xeewd\nmBpTo2Xj4mMs2jYQC0szYTGiImK5du7PD2CVSoVVVnNh+mk8+98SbJ6C9tRpWU64PoBBr8faxorx\nSzorcv4AcCnkQP9JLRTRTiPt70MiBmnKJJIMoNTJ9G2UMGRvk9XORlH9nPmcqDewozA9PQZMVEbY\n586OfW4bqtQV++XBKos501b0YNqKHkJ130av17Nkwh48T92jeZeqFCrmRKHiThQslps8BeyFxloy\nfje3PX2xzGJOvVblaNqpMtUblhRqyDQaLT9OS136dinkwOj57WnYrqLwv49T+2+i1xtwcLLhp33D\nKV25oFB9AK1Wh//jMMpULcSPvw7D1FSZj0mDAaau6I59ruyK6APkL5Lrk5yjJOKQpkwikWQqdBgw\nyeR7lPR6A2MWdGD84k5/f+cMcO7IbUIDX/Lj3qHUalpaaNbqbfasPUfC6ySmufegQ//amJgo89Hi\nsfc6lWq7sWz3EMUyNIFPI8hX2JHVR0djaaXM8wVQp0UZKtV2U0wfPs2XRolYpCmTSCSZCv0XYMqM\njT/N3M4ajUtSp0VZRWNotTpUKhUnnywRXtv1NlERsZSsmJ8Rc75V9PlLiE9m/YlxZLfNolgMgMp1\nlC0PkWROpCmTSCSZii/BlH0qlMpYvY2xsRFdh9RXPI61rRVjFohbBv8YxcvlUzyGRPIx5JlNIpFk\nKr6E5UvJv+dTZRclkn/Cy5cvadCgAYULF6Zhw4bExHy4d978+fMpXrw4JUuWpEuXLiQnJ/+lrjyz\nSSSSTIUeA8bID2iJRPL5WLBgAQ0aNODx48fUq1ePBQsW/L/7+Pv7s27dOry8vPD29kan07Fr11+P\nX5SmTCKRZCpkpkwikXxuDh8+TM+ePQHo2bMnBw8e/H/3yZYtGyYmJiQkJKDVaklISMDJyekvdWVN\nmUQiyTQYMPwvUyZNmUQiSeV8OqduhV66TuilG+n63fDwcBwcHABwcHAgPDz8/93H1taWMWPGkDdv\nXiwsLGjUqBH16/91/aU0ZRKJJBOROhfy/YHkEonk68XpVfpaiziVdIOSPd9c9lq48p3bGzRoQFhY\n2P/7vblz575zWaVSfbD9yNOnT1m+fDn+/v5YW1vTvn17tm/fTteuXT96TNKUSSSSTIMeHWppyCQS\nySfg1KlTH73NwcGBsLAwHB0dCQ0Nxd7+/zd9vnnzJtWqVSNHjhwAtG3bFk9Pz780ZXINQCKRZBoM\naKUpk0gkn52WLVuyZcsWALZs2ULr1q3/332KFi3K1atXSUxMxGAwcPr0aYoV++v+dNKUSSSSTIMe\nrTxpSSSSz87EiRM5deoUhQsX5uzZs0ycOBGAkJAQmjVrBkDp0qXp0aMHFSpUoFSpUgD079//L3VV\nhs89Ev0vEDn9XfLP0etT63ZEzsaTSESQRDTheNAO1899KBKJ5H8UVfXgc1kJlUrFDH8xsWflU322\nx5GG/NRViDRjoxT3z1whMS5eEW2VSsXOsYuJi0rnlpa/4bHnbU7/vAutRqOI/qNLt0iKT1BEW/J5\nMaBFJZcvJRLJF4o0ZQrxKuwF1/Z6KKavSdLwQ/NBJCckCtdWqVRYWGdhSpm2PPa8LVzftWoZLm89\nzLiizbn4yyH0Op1QfZVKxXCnOvzYbgRXdh0Tal61Gg37Z67k12k/4bnjKAF3fNAkJgnT/9LJ6LdQ\nvawpk0gkXzBf7fKlXq8n4M5D8pdTZihsbORLxrs1Z773IWxy5RSuHxUYyoi89SjVuCajDq7AxMxU\nqH7YkwDGujbByNiYjgtG0WR0rw9u+U0vvlfuMKtaFwCcihWkx0+TKV6vqjD906t2snnI9wCYmJny\nTd92dFs+EWMTkwxrx0e/Yknzwfj+z7CqVCrylCzM8F+X4+jqkiHtlGQNB2at5OyaPajUatRGRqiN\n1KjUatrNGso3fdpmSN9gMBAbEUX400AingYS8Sz1//Cngdg62TNk5xLURuK65et1Op7duMfd4xd5\neOEmw/YsJVtO23TrvSaQWK7QkgLvXB8ZFsN299O4lclLo28rZfSwP0hESDT7N11k4JSWiugD3Ln6\nhNwudtjnyq5YjCC/SJzziz8npaHRaDE1lRv7vybk8qU4vtpMWUxoJIfnrlFM38jEmPiXrzi3Zo8i\n+rbOjmSxtSboni8Bt32E6zsWcqFgpZLotFqSE5KEZ4Ncq5ahcvtGQOofVZGa5YXq1xvUiZo9U3fD\npCRrKNeyjhBDBmBlY82Ek+so3aQmkGp0sua0ybAhg1QD2WHeKIbuXoqphTmvwl8QHRJBbEQUjoUz\nrg/w7OZ9doxZxOoeE9k/cyWXth7G1/M2BgNCDNmriCgubT3Myv9r777jqqofN4A/h71RypGIoaIy\nVMSR2SJXrlxppQ1LG5aZmqWZlaMUV2WkOXOkljvDFDEXbiQHiICKArIRZV/GXef3B1/9ZSIinI/c\ne3nerxevDM59PudyOec+93POPfe1SRjT4FnM6DIcO75ZUlYCryZXK7vskhj/7/KFFEwd9Qu6PT4R\ny2bvROSp+OqtfHlj6vXYvOIQ+npNwd5t/yA24priYwDAwZ1n8Xa3udi/47SQfAD4c90xzJ+0Cdeu\n3H2hS6Us/GILov6JF/rktmvjSRTkiTtFoUhVivTkm0LvQ2mJWngBeBgFY+/2ql18lcpXa0uZU30X\nfLD+7s+qUoq1vS1+iP8bg6Z9KCRfkiRM3PkzZoRthMeTvkLG6PbBq/jqyHoMnPo+rO1sFc9/de5E\ndH6lN95fGwALK2Vn+iRJwsil0+De3hv9Jo2Cp38nRfNt7O3wSdBiPPXai6jbqD783xmiaH7rHl0w\nJ+rP2zNjbm1b4ZEmj1U7V5Ik+PXzx/QTv+OLA6vh3e3J2z9zadyg2vm3xtBptSgpLEJp4f8/cZYW\nFVf7ULIMHSRZwrG/o/BOr/kY0GYq/lhzBBq1FgBwdE9ktfL/K+FSOt7qOgfTR69BYX4xYiOu4fjf\nFxQdAwA2Lj2AsYMDUVKsxtyJG5GRkq34GJGnrmLa+2vw9/Z/8N3kij9/r6riL6Zh/U/78PITM4T8\nngDgSkwqvnhrBQa2/RJFqoo/3LmqLkclo5/3F5j+wVrcyMwTMkbkqXj4N56A0N0RQvIBIC46FbPG\nrReWDwCJl+++uCpVXa2dY7awtFRs5uRe+fXcK/6Mq+pq+XR7ofnPvT1Y0UOW/1W/mRveXfkNbJ0c\nhORb2dpgwh8/wdbJHlY21ornW1ha4oP1cxH6yzY8Nbyf4vl2zo54b9UsdBryAjLiruHRJo0Uy5Yk\nCT7dnoRPtydxJSwSQbOXo8PAbopkO9Vzgf/Il+A/8iWUFKpwPuQYTv95AEkRF+H5XMdqZcvQQQLQ\nsnVjvDOpL7q+6IcrMam4GpOKuOhUePg0VuQ+aDRarJofjCXfBkFdqrnjZzqtcudAyrKMhVO3YsXc\nXbe/Z2Ym4dyJOPR5pbNi42SmZmPs4MDb9+XC6QRcOp+EVm2bKDYGAMz/bBO0//v9rPlhD9p18YCD\nk7Iv6HauPw6NRocbmfn467cTePX9rormA8DFiCQUFZYgJysfzi72iucDgLpUA51Whzadmt1/4Spq\n4FoXvYYq+4L0v0Z/0R8Lp24VOkZtUmvPKSMyJrIsCy3IQNlhXqXPTfw3rVoNvV6uVkHOwUXocAG9\n4V7uz7Oz8uHs4gBz8+ofBNDr9dBq9dDr9NBpddDp9NBp9dDrZbjUc6z246HX6/HL/GBEnIzD4x4N\n8HiLhmjiUR+PezRAQ7dHFLkPAFBSrMab/gG4Ep2CZ/v4oseg9niury/quCj7YujY3ii823sBmnk+\nhrEzBqP3y08oflkdnU6P7u4TYWNnhYWbP4JXO2UO6f/X9A/WIDMlBz/9MU7Y+XGHdp0DZKBrfz8h\n+Q8TzylTTq2dKSMyJqILGQChhQyAIoeo9dBVeEkMl3pO1R7jFjMzM1hZiTvDw8zMDO9PeVFY/i1n\nj1/GmGkD0aW7D2xsxTzGWq0Om5cfxHe/fYg+r3ZWrFD+V3hoLDp39cK0JW/B3sFGyBhA2d/R1B9f\nF/qGhSf8PWHvqPxpIWTcOFNGREYjB39AhowXIGaGhKqmpFgNC0tzWFgo987d8lxPy0H9RnWFjgGU\nlUzR98WUcKZMOZwpIyKjIUPGYxBzjg9VnagZuP96GIUMAAsZ1Zha++5LIjI+MmSY8+KxRGSiWMqI\nyGjoAZYyIjJZLGVEZDRkyDDjbouITBT3bkRkNGRwpoyITBdLGREZjbKZMpYyIjJNLGVEZDRkcKdF\nRKaL+zciMhoyUOHFY4mIjBlLGREZDR6+JCJTxlJGREaj7PAlSxkRmSaWMiIyIpwpIyLTxVJmpIoL\nVNBqNMLyU6KvQF1SKiw/8VyssM8Y02o00Ov1QrKpZvFEfyIyZdy/CRR3MkJYtiQBS1+fDE2pWki+\nuYU5pnV8GfGnLwjJT425gi/aDsLRX/+EVq3sfZAkCb+8+zUWD/sUh9f8geyUDEXzVbn52DV/FQ6v\n+QPRB8OQeTVJ8ftwi16ng7qkFMUFKpQUqoSMAQCyLCMv84bQD+PVqtXVvg/3O9G/pFjM43ALyz4R\niVSrS1nC2Rih+evGBSAn7bqQbBsHe2ReTcbCQR+jtKhY8fzHWjVFncfqYcaTwxH8w1rF85967UXU\neawelr89FV+1H4obSWmKZZtbWGDEoi+ReTUZK0d9hXFu3bDv598Vy7ev4wTvrk9g69QfMaf7KHzq\n0RvfPPMmVLn5iuQXF6jw69hZeNO8NUZYtMEoWz+MrvskEs9dVCRfr9Ph7M6DCJq9HMtGTMH0zq9i\ndN0nsW3aYkiSsocGc9KuI3TVdgQOGY9PW/SBTqOtVl55J/rLsox/jlzEuCE/Yduqw9XKr8iF0wmY\nOGyJsHwAOPZ3FMIPK/M438vxfWJeaN2i0Whx87oy20JFYxCZolpbyvQ6HVKiLgsdw8u/I3LTs4Tl\ndxjUHS26+ArL7zFmOBr7eKDj4B6KZ0uShJFLp8HBxRme/p3waJNGiubb2Nvhs11LUK9pY1jb26Hl\nM+0VzW/WqQ1mhm9GE19PAICDizPs6zgpkm3raI+3Fn+FqQdWo2FLdwBlf68ahQ4nm5mb43E/LxRm\n5+H0jv24Gh6ForwCxIefVyQfAJKjLiOg20h87Po8fnn3a/zzxz7cTErH+b3Hq5X77xP91aUa7Pj1\nKIZ0mIY3/QPw9x+nsT7wbwXW/k55OSrMHPMrXn5iBkJ3RWDLylDFx5BlGb/+uBfv9/kOsz5ej9IS\nMTN+W1aG4tPhS/Dbz/uF5APA6gXBmPzGMmSkZAsbY8GkTdi8/KCwfABYPucvXL6QIixflmVsWRmK\n4iJxp4mUFKsReeqqsHwAGDfkJ6H5tY0kizxeUU2SJGGDLHY2y5jp9XqYmYnr1TqtFiWFRYqVjfJc\nDT+P5k+0FZaffikB1+OT4dvnOSH5xQUqLBsxBWM3fQ9LayvF89UlpdgZsAI3ElPx7qpvYWFpqWi+\nKicPB5Ztxt7ADXh94ed4ang/xbK1Gg0uHTmNM0EHcebPgyhVFWFezF9wbvBolTMTsBEvoAkc9ZbY\n9ftJnNwfjcsXUnAlOhWlJRr0GNQBi3eMV2T9ZVlG0PrjmP/ZRmRnFdz+/rx1ozHwzacVGQMoK5cz\nx/yK7auPAADsHW2w8/xsuLrXU2wMADi06xw+Gvgj9HoZHZ9thWW7JsLByVbRMRIup2Ng26+gLtXg\nw68GYtw3Lyk++5qdlQ//xhNgY2uFXw9Ngbefu6L5AFCYX4wn6n6APq92xvz1H8DcXPn9bJGqFN2a\nfIIdEd/iMbdHFM8HymYUQ3dFoOfgjkLyASD12g10d58o9NSHikiShOmJyow9012qsftxC0sZUTXp\ndTpIZmaKP/n8myonD/Z1nYXlq0tKkZuehfpNGwvJl2UZ1yIuwqVxAzjVc6lyTgJ+Ry+4wwl3FmCd\nTo/k+OtIuJSO5/r4KvIkqlZrkZ50EyVFpSgp1qC0WI3iIjXsHKzR6TnPaucDZU+ay2btREpCFhq4\n1kWDxi5o4FoXnr5N0LipcqUsIuwK3u/zHTzbPY6nevigSw8f+HRwh4WFuWJjyLKMt7rNRXrSTbz1\nSS+8NPI52NlbK5Z/y/I5f+HPX49hztr30O5JD8XzgbLDyBuXHMDCzR/BylrZF0K3XE/PRfTpBHTt\n7yck/xZZloXumwDAUxrBUqYQljIiMhrx+B194Q4HKD8racounElAM89GQkrSLRcjk5B09Tq6D2wv\nZGYJKCsYv/28H0Pf8YeNrbi/gdiIa/DwcYWlpYWwMR5GWXpYWMqUI+4vjohIAH7M0oNr3aGp8DE8\nfZvA07eJ0DEkScIbY3sKHQMAvNo9LnwMUylkpKxae6I/ERmfsktiEBGZJpYyIjIiMmfKiMhksZQR\nkdHgTBkRmTKWMiIyGve7oj8RkTFjKSMio8KdFhGZKu7fiMhoyDynjIhMGEsZERkVVjIiMlUsZURk\nZFjLiMg0sZQRkdHguy+JyJSxlBGRUWEpIyJTxVJGREZBRtln0vFEfyIyVSxlRGQkavaDgomIRBNS\nykJCQuDp6YkWLVpg3rx5d/08NDQUzs7O8PPzg5+fH2bNmiViNUyeyE+z16rV0Ov14vI1GmHZZKpY\nyojIMGzduhU+Pj4wNzfH2bNn77lcbm4uhg4dCi8vL3h7eyMsLKzCXAulV1Sn02Hs2LHYv38/XF1d\n0alTJwwYMABeXl53LOfv74+dO3cqPbxByUpMRT13V2H5wd+tQc+xr8HK1kbxbMnMDMtGTEH3D15F\nq2c6KJ6vysnHqvemo3XPLugyvB8cH6mjaH5q7FXsmrcKbm1aoFmnNnBv7wUbB3vF8lOiryA2NBz2\ndZ1g7+IM+7rOcG/vBQtLS0XytRoNivMKUZxfiKL//fcRt4ao38xNkfx/0+v1yEpIQXZyBryef0Lx\nfKDsBURy1GU4N3gEzg0erVoGKj6fTKfT41pcBpp5NqpSfmXk56pgY2cNKyvFd523qdVaofmyLEOS\neAiYqDratGmDHTt2YPTo0RUuN378ePTt2xfbtm2DVquFSqWqcHnFZ8rCw8Ph4eEBd3d3WFpaYtiw\nYQgKCrprOZGzPJVRnF+IQyu3Ch1j+/TFuHEtTVh+cYEKi4d9Br1Op3i2uYUF2vXzx7fPvolzu0IV\nz3eu/wh6jXsd68cFYN4L70JdXKJovqtXczw5rA+2fhmIWf4jEHPwlLL53s0hSRJWjPwSC/qMxvZp\nixQrZABQkJWD3ybOw8TmvfBV+yEI6DYSxfmFiuWXFhVj+/TF+LrTK3jPsRM+9eiNQyu3KZYPACWq\nIpzdeRCrRs/A+CbdMa3TKyjKLahGYvn7jOysfCyf8xd6NvsUaxfurUb+vWm1Ovy+ZD8Gt/saNzLy\nhIwhyzLWBe7F4hk7hOTfGmPhl9uQl1PxE0N1qNVaHA6OFJYPAJmp2SgtUQsdo7ioVGg+IP55MDsr\nH3+uOyZ0jKMh54XmGypPT0+0bNmywmXy8vJw9OhRjBo1CgBgYWEBZ2fnCm+j+Mux1NRUuLn9/6v5\nxo0b49SpO58QJUnCiRMn4OvrC1dXV3z33Xfw9vYuN++PGT/f/rfX850UeyVfcCMHEcFH8Py7Q4W9\nahz6zcdwadxASDYAPDdyMMwtzGFmbi4k/8lXeqOkQIU2vZ4Wku/TvQtemvER2vXzFzLb59v7WUz4\ncxH+/mkDvLt1VjRbkiT0GDMczZ5og0Uvf4InXu6laH7dRvXxwbq56DFmONaNC0BBVjbs6jgplm9t\nZ4uBX42Gq48H9v64DnEnI2DtYKdYPgCkxVzFxaNnEHvoFLJTMmBpbYWCGzl4rFXTKibe+QSmVmux\n5vs9WPptEEqKy56go88kVHOt73Y05DzmfboRV2JSAQDH/47Cy+8+r+gYeTkqfDnqF+z/8wzsHW3w\nwZcDYGdvregYsixj1sfr8dvP+5Gfo8KMpW8rmn9L4FfbsGpBMDae+Bp+XVoIGWPJt0G48E8C1hz4\nHE51lJsB/7fPR6yA31MeGDmxj5B8ABg/dBHmrH0P9o62QvJvZObj6J7zGDTiGUVzw0NjER56EQBw\n8mC0otlVERpRtdvlXghF7oVQRdfl3xISElCvXj2MHDkSkZGR6NChAwIDA2Fnd+99rSQrXNW3b9+O\nkJAQrFy5EgCwYcMGnDp1CosWLbq9TEFBAczNzWFnZ4c9e/Zg/PjxuHz58t0rJ0nYIMcouXpkYB7G\noZQSVRFs7JUtHP+myimbObGvW/EroKrS6/WIOXgKrXt0EZIPAFfDz6OksAg+3Z5UPFuWZaRdjMfZ\noIN45q1BqPtYvSrl6KBGPLZiOFrd8f0iVSkuRyXjYkQS8rIL8f4X/RX7m8rNLkTYgRjk5aiQn6NC\nXrYKfk+1QPeB7RXJB4CcmwVYOHUb8nNUcHS2hYOzHd74uCdcH6/aYd7y6PV6zB6/ASf3R8OnQ1P4\nPeWBV97vCgsLZV/QHdkTiS/eXol+w5/EkFHPoVXbJormA0BqYhZG9ZyPCbOHovfLTwjZfxQXleLT\n4Usw99f3hZU+ADi06xy6vugnLP9h8ZRG1NjRL0mSMH2tMmPPfFu643707NkTGRkZdy0XEBCA/v37\nAwC6du2K77//Hu3b371POH36NLp06YITJ06gU6dOmDBhApycnPDNN9/ccx0UL2VhYWGYMWMGQkJC\nAABz5syBmZkZPv/883vepmnTpjhz5gxcXFzuXDmWMiL6n3uVMrq/0hI1tBqdsBmZWyJPXYV3+8dh\naSnunLirsWlwdX8UNrZWwsZQFRTD2tZK8dJqqky1lFVGRaUsIyMDXbp0QUJC2Qz+sWPHMHfuXOza\nteueeYqfU9axY0fExcUhMTERarUamzdvxoABA+5YJjMz8/YdDw8PhyzLdxUyIqI7ybxCWRVZ21gJ\nL2QA4Nu5udBCBgDNvRoJLWQAYO9oy0JGlXavItewYUO4ubndPhK4f/9++Pj4VJileCmzsLDA4sWL\n0atXL3h7e+PVV1+Fl5cXli9fjuXLlwMAtm3bhjZt2qBdu3aYMGECNm3apPRqEJGJkXlJDCIyEDt2\n7ICbmxvCwsLQr18/9OlTdu5hWloa+vXrd3u5RYsW4fXXX4evry/Onz+PqVOnVpir+OFLJfHwJRHd\nokUJErEdw3j4ksig1ObDl0rjFf2JyEjw8CURmTaWMiIyEve7fCwRkXFjKSMio8BzyojI1LGUEZHR\n4DwZEZkyljIiMhKcKSMi08ZSRkRGgYcvicjUsZQRkZHguy+JyLSxlBGRUZD57ksiMnEsZURkJDhT\nRkSmjaWMiIiIyACwlBGRUZA5U0ZEJo6ljIiMBN99SUSmzaKmV4Cq7vzeY2jasTUcH6kjJP/4b3/B\n3NISnV7qAXML5f9UDq3ciuyUTPj06IJWz7SHJCk3DyLLMkJXbUdm3DU86u6Ktr2fQf2mjRXNPxN0\nEJlXkiCZSXCq54Kn3+iv6H3IvJqErIRU5KZnITc9C52G9ESD5k0UywcAvU6H9MuJSDwbA51Gi+fe\nHqxo/i03rqUhYvdhtB/YDS6uDaqYUnEpu3YlE/Gxaeja36+K+fd34XQC3JrXh3NdeyH5siwjOf46\nmjSv6u/o/tRqLWS9HtY2VsLG0Ov1MDPja36iB1Vrt5rU2Kv41KO30E+EX/vRtwj+Ya2wfMd6Ltj/\n8+/C8tsP6IZdc1ciKzFVSP6zbw/C1VPncWpLiKJlBgAkScKzbw2EKicf68fPEZLf5oWnkJ2SgY2f\nLUDknqOKj2FpbYVTW0KwYuSX2PT59yjKK1Q0Pzs1E0vfnIIprQdi6Ruf4+TGYEXz9Xo9Dq/5A1Pa\nDMQE9x74dewspMXGVzmv7PDlnb9jdakGwZvDMLLHPPRqMQlLZwVVd7XLdel8Ej4a9COGdpqO8NBY\nIWNcT8/F2MGB+GhQILRanZAx8nJUeK/3AgRvPiUkHwBybhZgwis/Izdb2b/Xf0uOv46tv4QKyweA\nqH/ikZ58U+gYb3efi8PBkcLyzx6/jCEdpwnLB4DJby4Tml/b1Np9gxabAAAUkklEQVSZsgbN3fDh\nhnmKP5H+W+8JI2Btbyssv2l7b7j7eQnLt3W0x/STG2FpLeYVtYWlJcZtWwhZL6YYW1haYtTyGXj2\n7UGo5+6qeL61nS3e/PELdHqpJ2ydlJ85cWncEO+smIl+k0bh4PLNaNK2pbL5rg3w0e8L8OqcT3Bo\n5VY4N3hE0XwzMzP4j3wJLZ/yw9mdh3BuVygedW9UjcS7zylTl2rh7OKAJ7t5wd7RBuYWZpBlWdHt\n+mpsGrasCIUsy/Bp747SYo1i2bdEn03EgkmbkJetgqOzLQrzi1HHxUHRMa5dycTEYT+jtFiDzJQc\nRbNvKSlWY8LLiyHrZdzIyFP8PgBls4nfT9mC5l6NoNPpYW4uZm4hePMpDH7rGTzmpux28W+Tvxsm\ndFa0dadm+HrxCGH5APD+F/2xc8MJoWPUJpIscqqomiRJwgY5pqZXg4gUUp3CVITruImDGAwPhdeq\ndigpVsPaxlLoC9GcmwWwtrGCnb21sDFKitXQaXWwdxT3gleWZWi1Olha1tp5iwfiKY0QetSpIpIk\nYfpaZcae+bZUY/fjFv7FEdFDU71CoL/r8CVVno2tuHPIbqn7iKPwMR7G/ZAkiYWMakStPaeMiIwL\nP/uSiEwdSxkRGQlep4yITBtLGREZBRl6ljIiMmksZURkFPiB5ERk6ljKiMhI8PAlEZk2ljIiMgr8\n7EsiMnUsZURkJPQ1vQJEREKxlBGRUZB5nTIiMnEsZURkFPjuSyIydSxlRGQUOFNGRKaOpYyIjARP\n9Cci08ZSRkRGgYcvicjUsZQRkVHg4UsiMnUsZURkFGReEoOITBxLGREZBTPE4THY1/RqEBEJU2tL\nmbqkFGFbQoSOcTX8PNIuxgvL12m1OLFxN/R6MTMI2amZCApYgeIClZD8vMwbWD9hDsK37RWSX3Az\nF79NnIdV709HTtp1xfNLVEUICliBFaO+xO4FqxXP1+v1OLU1BJum/IDAIeOREXdN8TFuJqfjxMbd\nWD8+AFu/ClQ8HwBUOXk4sXE3lrwxGamxV6uVda/Dl6qCYmxffRhLvv2zWvkVURUUY80PexB/MU3Y\nGPm5KuzaeFJYPgBcT8tB6rUbYsdIzxWaDwClJWqh+dfTc3Fsb5TQMY7tjcKNzDxh+Xk5KhzceVZY\nPgCcPnpJaH5tU2tL2c2kdBxctllYoQGAc3+F4tLRM8Lyi/IKsW/Rb1AXFQvJd3FtgKYdvGFpYyUk\n37nBo3hu5GCYmZsLyXd8pA76ThoFrVoDKzsbxfNt7O3Q/YNXYOvkIKS4mpmZoXWPLrB1ckD8Pxdg\nbmmh+BgW1lbIy7iB6ANhyLicqHi+urgEx9b/hUPLtyBs0x4U3qz6k7UMGebllLKES+mY8tYKBEz4\nDfv+ELO9HdkTiSEdp2Pepxtx9nic4vmyLCNo/XH0ajEZX7+7ChqNVvExAGDv9n8woM2XWP1dsJB8\nADj2dxRe8vsayfHKvxC65cieSCyYvFlYPgBcPp+M3ZvChI6x49ejuBqTKiw/7doNbFp2UFg+APy9\n/R+h+bWNJMuyXNMrcS+SJGGDHFPTq0F0X3qdTli5BMrKjYWVpbAxZFlGXuYN1GlYT0g+UDZzaWYm\nwb6uc5Vun4VtaAZntELdcn+u0+mRdCUTTVs9Vp3VrFBejgrqUg3qNawjJF+j0SI/pwhOde1gqXAJ\nl2UZeTkqWNtYwsraEubmYl6TX0/LwaMNnWFmJu41f36uCk51eCjbUHhKI1BTVUKSJExfq8zYM9+W\naux+3KL8S2+iWkhkIQMAK1vlZ/r+TZIkoYUMKJu5rI57zZTdYm5uJrSQAYBzXbFFwNLSAo/UdxKS\nLUkS6rg4CMn+t/qNyi/NSmIhI1NVaw9fEpFx0QMVljIiImPHUkZERqFspoy7LCIyXdzDEZFRkCHD\njDNlRGTCWMqIyCjw8CURmTqWMiIyCvc70Z+I6GGZNGkSvLy84Ovri5deegl5efe+3pxOp4Ofnx/6\n9+9/31yWMiIyCjI4U0ZEhuGFF15AdHQ0IiMj0bJlS8yZM+eeywYGBsLb2xuSdP/9Fy+JQURGQc+Z\nMiIqR2iouE9FuJeePXve/nfnzp2xffv2cpdLSUlBcHAwvvzyS/zwww/3zWUpIyKjwHdfElF5nn+8\naqUsMfEkEhOr/6kNq1evxvDhw8v92SeffIIFCxYgPz+/UlksZURkFHiiPxEpyd29C9zdu9z+/8OH\nf7zj5z179kRGRsZdtwsICLh9ftjs2bNhZWWF11577a7ldu3ahfr168PPzw+hoaGVWieWMiIyCnrO\nlBHRQ7Rv374Kf7527VoEBwfjwIED5f78xIkT2LlzJ4KDg1FSUoL8/HyMGDEC69atu2cm93BEZBT4\n7ksiMhQhISFYsGABgoKCYGNT/sfgBQQEIDk5GQkJCdi0aRO6detWYSEDWMqIyAjIkPnuSyIyGB9/\n/DEKCwvRs2dP+Pn5YcyYMQCAtLQ09OvXr9zb8N2XRGQSZOggAZBYyojIAMTFxZX7/UaNGmH37t13\nfd/f3x/+/v73zeVMGREZvLJSxkJGRKaNpYyIDJ4eOn7uJRGZPJYyIiMhy7LQfL1eLzQfAPQ6XZVu\nJ0NXqZ3Vw7gPoh8HIqq9am0pS7sYj687vix0J/77pAXYv2SjsPz8rGxM9R2M4vxCYWME/7AW26cv\nFpZ/bvdhHFyxRVh+wtkYzOv1HnLSs4TkZ6dmYsnrk7Fu3Gwh+ZpSNYJmL8enHr1xLeKikDEuHjmN\nOT1GYeGgj4XkFxeosH36Ykz27o/oA1W7UKMMbYWHL2MjrmHa6DUY2WNeVVez4vFlGSf2X8C4oYsQ\nvPmUsDEOB0di/MuLhO2XZFnG3m3hCN5c/QtmVjTG1l9CUVxUKmwMABjW5RtcjkoWln/rsRBp7OBA\nHPs7Slh+1D/xGPF8gLB8AJg2eo3Q/NpGkg34ZZ8kSdggxwjJ1qrViD4QBt8+zwnJB4Ck85dg42iP\n+k0bC8nX63SI3HMUvn2fg5mZmH6dceUaNCVquLVuISQfKCseltZWwvILbuTA4ZE6lXrnS1Vo1Wrc\nTM5Ag+ZNhOTLsowrYZF43M8LVjbWQsa4mZyO6/Ep8PLvJCS/RFWE6P0n0axTG9RtVP+Bb1+MLNzA\nAQyGR7k/1+v1uHQ+GUlXr6PXEDH34XpaDqLPJKKJRwM092qkeL5arcXlqGSkJ91E94HthWzTqoJi\nxJy7hrqPOsLD21XxfADIz1Uh4VIGWrV1g42tuO362N9RaP90S9jZi9kmsrPyEX8xHR2fbSUkHwDC\nQ2Ph2a4JnOrYC8lXFZbg/Kmr6NLdR0g+AFw4nYChnabX2AyyJEmYPv2aIlkzZz5e4zPhtbaUEZHx\nUCENuTiKgWhe06tCRP/hKY1gKVNIrT18SUTGQwcNT/QnIpPHUkZEBk8PDS8cS0Qmj6WMiAyenjNl\nRFQLsJQRkcGTEMuZMiIyeSxlRGTw9NCjMRxrejWIiIRiKSMig6eDDEvurojIxHEvR0QGT89SRkS1\nAPdyRGTwdJBhwd0VEZk47uWIyODpWcqIqBbgXo6IDF5ZKeO7L4nItLGUEZHBkwHOlBGRyeNejogM\nnh4yzLm7IiITx70cERk8Hr4kotqApYyIDB5P9Cei2oB7OSIyaDL0kAF+zBIRmTyWMiIyaDJ0kABI\nLGVEZOJqbSlTF5fgwv6TQse4FnkRWYmpwvL1ej3O7T4MWZaFjZFx5RpSY68KyweA83uPQavRCMvP\nSbuOhDPRwvIBIObQKZQUqoTla9VqaErVwvIBoCivQGi+VqNBiarogW+nhxZmlSxkqoLiB85/ELIs\no6RY7OOQcDkdCZfThY4RujsCer1eWH568k1cjEwSlg8Ax/ddgLpU3H4jOysf507GCcsHgNNHLyEv\nR9x+o6RYjRP7LwjLB4Dos4lC82ubWlvKbial4/fPFggtNMfW7URk8BFh+QU3crB5yg8oKRC3UZ/Z\ncQAnftslLF+r0eD3zxYgNy1L2BgX9p/EgWWbheUDwLavFyEtNl5Itk6rxeHVO5CbLu53lHwhDodX\n/yEsX6vR4ODyLUi/mPDAt9VDU6lDl8nx17Hm+5CqrF6lyLKMgzvPIeLkFWFjAEDIlnCEbAkXll9S\nrMb3n29GVnqusDGO7Y3C1pWhwvIBYNG0P3AlRtyL3qh/ErB6QbCwfAD4Zf5uRJ958G2isi5GJmHZ\nrJ3C8gFg09IDQvNrG0kW2UqqSZIkbJBjano1iKgGFSETN3EIg+FR06tCROXwlEYIneCoiCRJmD79\nmiJZM2c+XmP345ZaO1NGRMZBi2K+85KIagXu6YjIoOlQAkvuqoioFuCejogMmoxozpQRUa3APR0R\nGTQN9GgKp5peDSIi4VjKiMigaaGHLSxqejWIiIRjKSMig6aFHjYsZURUC7CUEZFB03CmjIhqCZYy\nIjJYMvTQQYY1zGt6VYiIhGMpIyKDdesjlir7MUtERMaMpYyIiIjIALCUERERERkAljIiIiIiA8BS\nRkRERGQAWMqIiIiIDABLGRmE2NDwml4Fegj4ONce4aGxNb0KREZHSCkLCQmBp6cnWrRogXnz5pW7\nzLhx49CiRQv4+vri3LlzIlaDjEhs6D81vQr0EPBxrj3CQy/W9CoQCfP111/D19cX7dq1Q/fu3ZGc\nnHzXMsnJyejatSt8fHzQunVr/PTTT/fNVbyU6XQ6jB07FiEhIYiJicHGjRsRG3vnK6bg4GBcuXIF\ncXFxWLFiBT788EOlV4OIiIhIiMmTJyMyMhIREREYNGgQZs6cedcylpaWWLhwIaKjoxEWFoaff/75\nrj70X4qXsvDwcHh4eMDd3R2WlpYYNmwYgoKC7lhm586deOuttwAAnTt3Rm5uLjIzM5VelQplXLmG\ngG4jodfrhY2xffpiHPplm7D8gpu5mPn06yguUAkbY9/Pv2PnnBXC8rVqNWb5j0BRfoGwMcK2hGDD\nJ3OF5QPA9/3HIOFsjLD8mEOnsOSNycLyAWDlO18hMuSosPyU6Cs4tmHnA91GggTbB7ia//dTNiNo\n/fEHXbVKy8rIxWvPfIuSYrWwMdb8sAerv98jLL+kWI3Xn52FrIxcYWMErT+OE/svCMsHgHd6zUdc\ndIqw/GN7ozB11C/C8gFg0hvLcOqQuP1G9NlEfND/B2H5ADB34u9C8w2Vo6Pj7X8XFhbi0UcfvWuZ\nhg0bol27dgAABwcHeHl5IS0treJgWWFbt26V33333dv/v379enns2LF3LPPiiy/Kx48fv/3/3bt3\nl0+fPn1XFgB+8Ytf/OIXv/hl4F81Rcn74ODg8EBjT506VXZzc5NbtWol5+TkVLhsQkKC3KRJE7mg\noKDC5RT/lF9JqtzHoZT9Liu+3X+XISIiIrpFZE/o2bMnMjIy7vp+QEAA+vfvj9mzZ2P27NmYO3cu\nPvnkE6xZs6bcnMLCQgwdOhSBgYFwcHCocEzFS5mrq+sdJ7wlJyejcePGFS6TkpICV1dXpVeFiIiI\nqEr27dtXqeVee+019O3bt9yfaTQaDBkyBG+88QYGDRp03yzFzynr2LEj4uLikJiYCLVajc2bN2PA\ngAF3LDNgwACsW7cOABAWFoY6deqgQYMGSq8KERERkeLi4uJu/zsoKAh+fn53LSPLMt555x14e3tj\nwoQJlcpVfKbMwsICixcvRq9evaDT6fDOO+/Ay8sLy5cvBwCMHj0affv2RXBwMDw8PGBvb3/PKT8i\nIiIiQ/PFF1/g0qVLMDc3R/PmzbF06VIAQFpaGt577z3s3r0bx48fx4YNG9C2bdvbpW3OnDno3bv3\nvYMf6Kw2Qfbs2SO3atVK9vDwkOfOnVvuMh9//LHs4eEht23bVj579uxDXkNSwv0e50OHDslOTk5y\nu3bt5Hbt2snffvttDawlVdfIkSPl+vXry61bt77nMtyeTcP9Hmtu06YjKSlJfv7552Vvb2/Zx8dH\nDgwMLHc5btvVU+OlTKvVys2bN5cTEhJktVot+/r6yjExMXcss3v3brlPnz6yLMtyWFiY3Llz55pY\nVaqGyjzOhw4dkvv3719Da0hKOXLkiHz27Nl7PlFzezYd93usuU2bjvT0dPncuXOyLMtyQUGB3LJl\nSz5XC1DjH7NkLNc1o+qpzOMM8B23puDZZ59F3bp17/lzbs+m436PNcBt2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"text": [ "" ] } ], "prompt_number": 9 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Aprender m\u00e1s" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "El m\u00f3dulo interactivo **12 pasos para Navier-Stokes** es uno de los varios componentes de la clase de *Computational Fluid Dynamics* impartida por la Prof. Lorena A. Barba en la Universidad de Boston entre 2009 y 2013.\n", "\n", "Para una muestra de otros materiales de esta clase, se puede explorar la secci\u00f3n de **Resources** en la parte de *Spring 2013* de [course's Piazza site](https://piazza.com/bu/spring2013/me702/resources).\n", "\n", "***" ] }, { "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", "" ], "output_type": "pyout", "prompt_number": 1, "text": [ "" ] } ], "prompt_number": 1 }, { "cell_type": "markdown", "metadata": {}, "source": [ "> (La celda de arriba establece el formato de este notebook)" ] } ], "metadata": {} } ] }