{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "\"AeroPython\"" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Clase 3b: Perfil de Yukovski" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "_Aunque no te lo creas, __con lo que hemos visto hasta ahora eres capaz de hacer grandes cosas__. Vale sí, un perfil de Yukovski no es gran cosa aerodinámicamente, pero si lo hacemos en Python... Echa un vistazo a la figura ¿no está mal, no? algo así intentaremos conseguir al final de esta clase._\n", "\n", "![](../static/perfil_yukovski.png)\n", "\n", "_Como no se trata de aprender (o reaprender) aerodinámica, te daremos las funciones matemáticas y los pasos a seguir así como la estructura del programa. Tú sólo tienes que preocuparte de programar cada bloque. Puedes leer en detalle todo lo relativo a la aerodinámica en el libro Aerodinámica básica de Meseguer Ruiz, J., Sanz Andrés, A. (Editorial Garceta)._\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 1. Importamos paquetes." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Lo primero es lo primero, importemos los paquetes:" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# Recuerda, utilizaremos arrays y pintaremos gráficas.\n", "import numpy as np\n", "%matplotlib inline\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 2. Parámetros del problema" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "###### ![](../static/transf_yukovski.png)
__Fuente:__ _Aerodinámica básica, Meseguer Ruiz, J., Sanz Andrés, A._
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "La transformación de Yukovski es: $$\\tau=t+\\frac{a^{2}}{t}$$\n", "\n", "Los parámetros del problema son los del siguiente bloque, puedes cambiarlos más adelante:" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# Datos para el perfil de Yukovski\n", "\n", "# Parámetro de la transformación de Yukovski\n", "a = 1\n", "\n", "# Centro de la circunferencia\n", "landa = 0.2 # coordenada x (en valor absoluto)\n", "delta = 0.3 # coordenada y\n", "\n", "t0 = a * (-landa + delta * 1j) # centro: plano complejo\n", "\n", "# Valor del radio de la circunferencia\n", "R = a * np.sqrt((1 + landa)**2 + delta**2)\n", "\n", "# Ángulo de ataque corriente incidente\n", "alfa_grados = 0\n", "alfa = np.deg2rad(alfa_grados)\n", "\n", "#Velocidad de la corriente incidente\n", "U = 1" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 3. Perfil de Yukoski a partir de una circunferencia." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Función transformación de Yukovski" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "__Se trata de definir una función que realice la transformación de Yukovski.__ Esta función recibirá el parámetro de la transformación, $a$ y el punto del plano complejo $t$. Devolverá el valor $\\tau$, punto del plano complejo en el que se transforma $t$." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [], "source": [ "def transf_yukovski(a, t):\n", " \"\"\"Dado el punto t (complejo) y el parámetro a\n", " a de la transformación proporciona el punto\n", " tau (complejo) en el que se transforma t.\"\"\"\n", " tau = t + a ** 2 / t\n", " return tau" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [], "source": [ "#comprobamos que la función está bien programada\n", "#puntos del eje real siguen siendo del eje real\n", "err_message = \"La transformación de Yukovski no devuelve un resultado correcto\"\n", "np.testing.assert_equal(transf_yukovski(1, 1+0j), 2+0j, err_message)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Circunferencia" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Ahora queremos transformar la circunferencia de radio $R$ con centro en $t_0$ usando la función anterior:\n", "\n", "1. __Creamos `N` puntos de la circunferencia__ de modo que __en `Xc` estén las coordenadas $x$ y en `Yc` estén las coordenadas $y$__ de los puntos que la forman. Controla el número de puntos mediante un parámetro que se llame `N_perfil`.\n", " $$X_c = real(t_0) + R·cos(\\theta)$$\n", " $$Y_c = imag(t_0) + R·sin(\\theta)$$\n", "2. Una vez hayas obtenido los dos arrays `Xc` e `Yc`, __píntalos mediante un `scatter`__ para comprobar que todo ha ido bien.\n", "3. Pinta también el __centro de la circunferencia__.\n", "\n", "Deberías obtener algo así:\n", "\n", "![](../static/circunferencia.png)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Número de puntos de la circunferencia que \n", "# vamos a transformar para obtener el perfil\n", "N_perfil = 100\n", "\n", "#se barre un ángulo de 0 a 2 pi\n", "theta = np.linspace(0, 2*np.pi, N_perfil)\n", "\n", "#se crean las coordenadas del los puntos\n", "#de la circunferencia\n", "Xc = np.real(t0) + R * np.cos(theta)\n", "Yc = np.imag(t0) + R * np.sin(theta)\n", "\n", "#lo visualizamos\n", "plt.figure(\"circunferencia\", figsize=(5,5))\n", "plt.title('Circunferencia', {'fontsize':20})\n", "plt.scatter(Xc, Yc)\n", "plt.scatter(np.real(t0), np.imag(t0), color='orange', marker='x', s=100)\n", "plt.grid()" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Lo visualizamos más bonito\n", "plt.figure(\"circunferencia\", figsize=(5,5))\n", "plt.title('Circunferencia', {'fontsize':20})\n", "# Esto no tienes por qué entenderlo ahora \n", "p = plt.Polygon(list(zip(Xc, Yc)), color=\"#cccccc\", zorder=3)\n", "plt.gca().add_patch(p)\n", "\n", "plt.ylim(-1.5, 2)\n", "plt.xlim(-2, 1.5)\n", "plt.grid()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Transformación de cirunferencia a perfil" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Ahora estamos en condiciones de __transformar estos puntos de la circunferencia (`Xc`, `Yc`) en los del perfil (`Xp`, `Yp`)__. Para esto vamos a usar nuestra función `transf_yukovski`. Recuerda que esta función recibe y da números complejos. ¿Saldrá un perfil?" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "Puntos_perfil = transf_yukovski(a, Xc+Yc*1j)\n", "Xp, Yp = np.real(Puntos_perfil) , np.imag(Puntos_perfil)\n", "\n", "#lo visualizamos\n", "plt.figure(\"perfil yukovski\", figsize=(10,10))\n", "plt.title('Perfil', {'fontsize':20})\n", "plt.scatter(Xp, Yp)\n", "plt.grid()\n", "plt.gca().set_aspect(1)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#lo visualizamos más bonito\n", "plt.figure('perfil yukovski', figsize=(10,10))\n", "plt.title('Perfil', {'fontsize':20})\n", "\n", "p = plt.Polygon(list(zip(Xp, Yp)), color=\"#cccccc\", zorder=3)\n", "plt.gca().add_patch(p)\n", "plt.gca().set_aspect(1)\n", "\n", "plt.xlim(-3, 3)\n", "plt.ylim(-0.4,1)\n", "plt.grid()\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 4. Flujo alrededor del cilindro" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Para visualizar ahora el flujo alrededor del cilindro recurrimos al __potencial complejo__ de una _corriente uniforme_ que forme un ángulo $\\alpha$ con el eje $x$ _en presencia de un cilindro_ (aplicando el teorema del círculo) y se añade un torbellino con la intensidad adecuada para que se cumpla la hipótesis de Kutta en el perfil:\n", "\n", "\\begin{equation}\n", "f(t)=U_{\\infty}\\text{·}\\left((t-t_{0})\\text{·}e^{-i\\alpha}+\\frac{R^{2}}{t-t_{0}}\\text{·}e^{i\\alpha}\\right)+\\frac{i\\Gamma}{2\\pi}\\text{·}ln(t-t_{0})=\\Phi+i\\Psi\n", "\\end{equation}\n", "\n", "donde $\\Phi$ es el potencial de velocidades y $\\Psi$ es la función de corriente.\n", "\n", "$$\\Gamma = 4 \\pi a U (\\delta + (1+\\lambda) \\alpha)$$\n", "\n", "$\\Gamma$ es la circulación que hay que añadir al cilindro para que al transformarlo en el perfil se cumpla la condición de Kutta.\n", "\n", "Recordando que la función de corriente toma un valor constante en las líneas de corriente, sabemos que: dibujando $\\Psi=cte$ se puede visualizar el flujo.\n", "\n", "__Pintaremos estas lineas de potencial constante utilizando la función `contour()`, pero antes tendremos que crear una malla circular. Esto será lo primero que hagamos:__\n", "\n", "1. Crea un parámetro `N_R` cuyo valor sea el número de puntos que va a tener la malla en dirección radial. Desde otro punto de vista, esta parámetro es el número de círculos concéntricos que forman la malla.\n", "2. Crea dos parámetros `R_min` y `R_max` que representen el radio mínimo y máximo entre los que se extiende la malla. El radio mínimo debe de ser el radio del círculo, porque estamos calculando el aire en el exterior del perfil.\n", "4. La dirección tangencial necesita un sólo parámetro `N_T`, que representa el número de puntos que la malla tendrá en esta dirección. Dicho de otro modo, cuántos puntos forman los círculos concéntricos de la malla.\n", "3. Crea un array `R_` que vaya desde `R_min` hasta `R_max` y que tenga `N_R` elementos. De manera análoga, crea el array `T_`, que al representar los ángulos de los puntos que forman las circunferencias, debe ir de 0 a 2$\\pi$, y tener `N_T` elementos.\n", "4. Para trabajar con la malla, deberemos usar coordenadas cartesianas. Crea la malla: `XX, YY` van a ser dos matrices de `N_T · N_R` elementos. Cada elemento de estas matrices se corresponde con un punto de la malla: la matriz `XX` contiene las coordenadas X de cada punto y la matriz `YY`, las coordenadas y. \n", "\n", "La manera de generar estas matrices tiene un poco de truco, porque depende de ambos vectores.\n", "Para cada elemento, $x = real(t_0) + R · cos (T) $ , $y = imag(t_0) + R · sin(T)$. \n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "__Recuerda que:__\n", "\n", "* Los puntos sobre la circunferencia se transforman en el perfil.\n", "* Los puntos interiores a la circunferencia se transforman en puntos interiores al perfil.\n", "* Los puntos exteriores a la circunferencia se transforman en puntos exteriores al perfil. __Los puntos que nos interesan__." ] }, { "cell_type": "code", "execution_count": 37, "metadata": { "collapsed": false }, "outputs": [], "source": [ "#se crea la malla donde se va pintar la función de corriente\n", "\n", "# Dirección radial\n", "N_R = 50 # Número de puntos en la dirección radial\n", "R_min = R\n", "R_max = 10\n", "\n", "# Dirección tangencial\n", "N_T = 180 # Número de puntos en la dirección tangencial\n", "\n", "R_ = np.linspace(R_min, R_max, N_R)\n", "\n", "T_ = np.linspace(0, 2*np.pi , N_T)\n", "\n", "# Crear la malla:\n", "XX = R_ * np.cos(T_).reshape((-1, 1)) + np.real(t0)\n", "YY = R_ * np.sin(T_).reshape((-1, 1)) + np.imag(t0)" ] }, { "cell_type": "code", "execution_count": 38, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 38, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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vxCJFCDj5+iZkEaRLej969EiqKT6taiWLNNeJQhcvlUk4CeQqT5o3MM9yOrJP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\nAwAALMh77yzHJzNZBrdO6px7maTvee9fdM79pKTXSfrW9AXWC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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#pintamos la malla para verla\n", "plt.figure(figsize=(10,10))\n", "plt.scatter(XX.flatten(), YY.flatten(), marker='.')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "__NOTA__: En versiones anteriores se utilizaba una malla rectangular. Esto generaba algunos problemas con los puntos interiores a la hora de pintar las líneas de corriente y los campos de velocidades y presiones. La idea de usar una malla circular está tomada de [este ejercicio](http://nbviewer.ipython.org/github/barbagroup/AeroPython/blob/master/lessons/06_Lesson06_Assignment.ipynb) del curso Aerodynamics-Hydrodynamics with Python de la [Prof. Lorena Barba](http://lorenabarba.com/)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Probando a transformar la malla" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Bueno, lo que queríamos era hacer cosas alrededor de nuestro perfil, ¿no?\n", "\n", "Esto lo conseguiremos pintando la función $\\Psi$ en los puntos `XX_tau, YY_tau` transformados de los `XX, YY` a través de la función `transf_yukovski`, recuerda que la transformación que tenemos recibe y da números complejos. Como antes, debes separar parte real e imaginaria. En la siguiente celda calcula y transforma `tt` (donde debe estar almacenada la malla en forma compleja) para obtener `XX_tau, YY_tau`.\n", "\n", "Probemos a visualizar como se transforman los puntos de la malla primero." ] }, { "cell_type": "code", "execution_count": 39, "metadata": { "collapsed": false }, "outputs": [], "source": [ "tt = XX + YY * 1j\n", "tautau = transf_yukovski(a, tt)\n", "XX_tau, YY_tau = np.real(tautau) , np.imag(tautau)" ] }, { "cell_type": "code", "execution_count": 40, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 40, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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cqlYnT57A88+fKs3KUoWD/LPgmwJfZoyXK0jiPK6p7T6+JZOwaXIpnapRDybv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Exdxfj4ECYnD+LUqdNdxepyNz5ja/dcKsl2kxH+9u0HEUXpWJWKJZOqycm9yedcXlZHt41fu+Uw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\nSUxqVdkdhL7EzESYykx9N/moQkp/pFYRCOsTRLIIB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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Comprobamos que los puntos exteriores a la circunferencia se transforman en los puntos exteriores del perfil\n", "#pintamos la malla para verla\n", "plt.figure(figsize=(10,10))\n", "plt.scatter(XX_tau.flatten(), YY_tau.flatten(), marker='.')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Obteniendo el flujo" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "1. Crea una variable `T` que tenga el valor correspondiente a la circulación $\\Gamma$.\n", "2. Utilizando el array `tt`, el valor `T` y los parámetros definidos al principio (`t0, alfa, U...`) crea `f` según la fórmula de arriba (no hace falta que crees una función).\n", "3. Guarda la parte imaginaria de esa función (función de corriente) en una variable `psi`." ] }, { "cell_type": "code", "execution_count": 41, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# Circulación que hay que añadir al cilindro para\n", "# que se cumpla la hipótesis de Kutta en el perfil\n", "T = 4 * np.pi * a * U * (delta + (1+landa) * alfa)\n", "\n", "# Malla compleja\n", "tt = XX + YY * 1j\n", "\n", "# Potencial complejo\n", "f = U * ( (tt - t0) * np.exp(-alfa *1j) + R**2 / (tt - t0) * np.exp(alfa * 1j) )\n", "f += 1j * T / (2* np.pi) * np.log(tt - t0)\n", " \n", "# Función de corriente\n", "psi = np.imag(f)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Como la función de corriente toma un valor constante en cada línea de corriente, podemos visualizar el flujo alrededor del cilindro pintando las lineas en las que `psi` toma un valor constante. Para ello utilizaremos la función `contour()` en la malla `XX, YY`. Si no se ve nada prueba a cambiar el número de líneas y los valores máximo y mínimo de la función que se representan." ] }, { "cell_type": "code", "execution_count": 42, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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3eiSGcjn4Dg8XJlDvwQE8+/uPJoiErkNvt6E3GjBaLejNJlmnA6Pdpvb6mkzm\nBhndLkS/D6PfJyGjxIvMbdJ8PhIx0uB2U16TrcAlZE6TvbglhCAhNZ8Duo7/WC7jN0MhYDol8TWZ\nQIzHMMZjEmYyl0kMBhC6DsfWFhw7O3Bsb1O7twfH3h6coRC1kQgc4TCckQhZNApnLAbHI67WjfGY\noodKJN8SztNSCa5IhPzi8NBqj47glb7y0IJlIRqrorAXF2bu3qhchjceX9jyM+83mWP12MVB1dii\nUgJMU2OcffFXqcDp9S5U37f3g+rYolTq0WtZrYo+m1nz163F/aDRoB0B289GrRadUymFlj8SQSAS\ngV9awN6Gw/R6OAx/OPxW5mb9yoqm2WiEUbv9pTbudKzrVsvszycT8ws3HUM6gukc0egbjrKpUaDb\n6JMJHc1Qrd5tUgwNq1U4PZ6F88vuGiwCqdSDnmH2db4idB3janUxAfZWwrUxny8O0LYVcODwEL5H\n2P4Q8zkmhQIJIimMzP7lJebtNrzZLE10R0fmhKcmwIfOfRFCwGi3Ma9UMC+XoVcqmFer0KtVams1\n6PU6WacDx+4unLGYJSSUuAiH4QiFSHTs7pLt7FjCZGuLokEPxCpji5jNYPR6ZN0u2c0NdCX4pADU\nWy3qN5vQGw0Si4MB/d3xOFyJBJzxOJzJJFzJJJyplNXu78PxwDknQtcpWqWE1OWlJbwvLjAtleBJ\nJsmv7ILq6Ai+42N40ukH939jPse4VDLvy4FctJgPROTzcAWDFJVSieoy709de+PxtX6OK/mKPDNw\nYfFo6w9s4yYAS0Spw5dtBzGrw5j98fhbIyrm4/HdgQNbgEHNo+a1CibY51G7qddCIfM1n+w/5ZmE\nGymavgntszM0PvsM4+trEjydDsbSRlIA2fsATEGjvgh/KPTGl+cLhRYU8tsYhlQn2y8cAKpOs5d9\ndcr9rN+nU+2TSQRTKatNJOgmV20q9eThaJXAaj5erZ4Oko9aD/N5jMtluMPhxQH21tNB7kfIWRBC\nYN5qYXx+jvH5uTlhjc/PMTk/x6RYhDuRgE8JInt7eEgT1wNFHoUQMFotzPJ5zAsFsnwes2IReqmE\nebGIeakEze+HK52GM52GK5WCK5WCM5GAM5EgYZBIkFCKRh9U+LwNiOmURFS9jnm9TqJSCsx5pUKi\ns1LBvFQChIArnYYrkyHLZuHKZuHOZuE6OIArm4XjAeuVifkck3x+UVAp4X5+jnmnQxHM42PLbD7q\neoRyBUJjBc2qAAAgAElEQVQITBoNMzHdHhlW9/2836cnSlVZBflkqXnfZ7NwbW09+Hv9Oqa93sLi\n866F6ahWowOZ9/bMg7QD9gO1Ewl6XbZvk8BSCMPApNt9Q0gtBDDkTs2o3V74mcPlMudsXyhkCiuf\n7doXCsG3t4fU97+P7XR6be/7WyOa/uZf/Au8+OM/fuNDM9tbH/BTT/j3QRgGxu02nYQubdxoYNRo\nUJSoVjNPSR/V65gPh+aNFrh9s926Ib2h0MYkAc56Pav2jBJGtutRoQAAphDy2wdJW+t8pFXJwhaa\nFEfj83PzWnO5zInGd3xMK3o5CXlzuQfLOxGGAb1SwezyErPLS8xVm89jdnWFeT4PzeuliTqXMydt\nVzZLk/j+PkVE3uJ7ZpMxej3MlTgtFjErFKifz2N+dYVZoQBN0+j7yOXoOzo8tNqjIzjXHGWxow+H\nJKbOzzE+O3sjGupwu+FVYurkZEH4ew8OHi1XaT4cWpEp2xhhX0w5fD4Esln47EVAMxlTVPn29+Ha\nED83dB3jVgujapUWtpWKtdiV47u6HjebcG9vW4IqHl8QVP5YjFppnicqGrwOhBCYDQZmYMRspbC6\nHTT5jT/4Azz72397bb9/I0XTJuc0PQT6bIZJu41Ro2GKn3GzuXA9qtfN60m7bd4gvlgMgUQCvlgM\nftk3bxR54zxVhd0vQwiBabOJUalER3qUSlZxPpsJw6Dq1UoM2Qs2yv5//MlP8MMf/vBx3rfc5ri9\nElc2b7fhPThYWIX7Tk7MlbkrFHqw96Z3Opidn5NdXGB+cYHZxQVm5+eY5/NwhEJwHx7SJHt4aE2+\nBwdwHxzA8Uh5FkIIYDQCOm2IThvi+hq4uYa4uQZubiD6PaDfg+j1gNEQGAwgRkNgOAQmY4jJBBiP\ngemEClzKhHAYhsxhki1AuU0A4HACLhfgdOLH0zl+O7QLuD2A1wvN5wN8fsDvh+bzA1tbQHALWjAI\nbO9A294Bdnag7ewCu3vQ9kLQQiEgFIb2SAUWhRAwbm4skXt1Ra1NBBuDAX2vR0dwn5zAfXRkmuvo\nCM6dnQd7b/Nm07oX7KLq/BzTctna+lMLBHVvHB3BnUw+2tikisQuFP+8vRArleAKBuHb38fnfj/+\n6w8/pDEok6Hq+bJQrHvTxlTDoO3B24LKvqiW/WGtBn08hi8ahT8WM+cOe//2a95QaKNzbB8TFk1r\nxtB1TDodjFstjJtNq1XWapmiaCyT6ma9HrzhsOWk0ajlvNGotVKQDuyLRjc2FDsfDunIB3m+2UKr\nRFK5DGcwSFWq5ZEeZuVqm7mXWA2t01eEEJjV61aStT2vSG2hRSKUPHt4uCCIzNyPh9pCMwyKQrx+\njdnZmWVSKEHX4To+hvv4mCbLw0PqHx/DdXgIxwNO8GI+B+o1iFoVolqBaNQh6jWIeg1o1CGaDdPQ\nblGydihMAmQvBOztkSjZ2YW2vQ1sbUPb2iYB4w9ACwQAfwCQyeDweAGZDA5Z4BKOOxLBAWp1HTB0\niPkcn/z4x/j4Bz8g0SWTwDEeATIJHMMBMOhD9Psk3rpdoNeVou4aotOBuO4AnTb97kgUiEShRWPQ\nYnFosTgQjUGLJ6AlkqYhGnvQOkZGr0eRRCWUZTuT4tkRCJB/nJzAfXwMz+kp3KencJ+cwPmAwsWY\nzTCVuXr2qKu6r/R+n7b+7tiS9sqFxqMfsi2F1V/8u3+H74dCtLgrFq3FXakEMZtZY5c6C/BW60un\nHy3KvSr6ZEKLcfvCXPbVgt3+s+nNDbx7e+b8449GaZ6KRuGLRBZb2fd+S0sXbKRo2gSEECQAWi1M\n2m0SP9Imqt9uW31p05sbeHZ3yYHsTiQdzRuJWGIoFiPn2qAtsS9j3u9b52DZbCQPflVnYxmTCXyp\nlCWI0unFVg4oTxECF0Jg1mjQE2fqCSNbQuzk8hKOQIAG7lxucSvt6Ai+XA6OB6ynJKZTmuSkMJra\nBNL88hKOcNic6DwnJzQBSnM8UCkGMR5DlIoQhTxEqQBRLNB1pQRRJkOnTcLBJhK0WByIJ0hIRGPQ\nojESDpHoo0VoHhIhBNDvQ7RbQKtJorBRh2jUSSgqEVmvQVTKQPcGiMWhpdJk6Qy0/Qy0TBbafhZa\n9gBaep+eBnyA96rXaiSi7IL79WvMXr+GMRyS0D45Mf3LbHO5B81P0/t98z40hZVtwQIh3kxQl0/8\n+Q4PH7Wyup1Zr7ewCLyzrVbh3t42BZQ639GfTsOXTJpnPfpSKTg3/J4w5nNMOh1rwa92QuR8OJIH\nUavXxq0WBQNCIUtQSfPa++Ew9cNhej0cftIjcpbhWy+ahGFgenNDAqfTIWu3ret227q2tZN2G5rD\nYX6Rqr39pd92hLcpjCl0nQ4FrVbN09XH1SoJItlOZCt0feEmV6evmyewy+unDFsLXce0Unnj0Wv7\nU0OOQGCxno3tSTTv4SFcD7xNZQyHi5OWEkevX0Mvlymv6PbEJbdbHiKnSIxGEFeXEPlLq81fwZAt\nOm2azPezNMFnsjThp/dNQyz+K5/4/XWI6ZQib5Uyic5SEaIs22KeRGm9RhGqg0NoBzmrzR1Cyx2R\nsHqA/CC928VcRixNoa58slqlrVy7L56ewnN6CtfR0YPXf5pfX78Z9b26Mhc+EILuZfUkqb3URi5H\nT5U+1XhkGBS1KpfNQ5cXWmXVKpw+nzmuepNJS1Qlk9Z1MglPJLLxC2yFMZ9j3G6bOyy3Awz2gIQ5\nD7daNO+GwySoZGvvm6+FQmbrC4fh3t5+lO96I0XTKlsuL//1v0b75z+3BNEtm3a7cG9tLXy4b3zg\nShjZv5RQaOMV710Y8zkmjQYm9TomtRqJoVqN+rJVr0/bbXjCYXgTCfgSiQVB5FU3rXzdtQGl+PXB\nwCzWOMnnMSkU8OO/+it8OJks1KPxHhxYBf4ODkxB5M3lHlwUAYB+c2Nto52fmxPQ9NUrGO02repv\nC6PTU1rVrznSIIQAGg0YF2cQ568hzs8gLs8hLs9hXJyTKMoe0KRsn6SzOThyh0Ai+biH0c5mwKAH\n9LpAv0vbZaMBteMRMBmTTSf0b2dTYD5bKG4JqDHFKm4JpwtwufDJWR4ff/d9wOOhbT5/gHKafAEg\nuCWNtgixtUP/7SMhZjOK3uWvTPFqitmrC4hKmUTV4TG0o2NoRyfQjk7gOD6BdnxKuVZrxhiPLR++\nFaWaFwpwJpPku1JILUQ/H6Gukimq1JN/V1eY5vMkrK6uYPT7Zv0y78HBm5bNfmn0+LHSRIQQmHU6\nC4tVcxGrhFWthkm1ilm3C28sRuNzIkFjdzJpjuFeZfE4vJHIkx0k/U1ROzwqxcUMcihh1em8GeCQ\n/0Yfj+HZ3bXm91AI3r09eGQ/+Zu/icPf+717v8e3XjR98Yd/iEGlYn5IPvsHFg7Ds7v71kR+7kI9\nVj+p10kMKUF022o1TOp1zG5uSAjF4+bNdPuGMl+PxR71aIOvwphMqOJxoUDVj2Vr7xvDITxyoFOD\n4F8PBvhvf+d36PorBsB1Ym53KFFkW5nPzs5gjEYLk4fn9BTuZ8/gPj2FK5NZ+0pRCAFUKzBev5LC\n6DWMM2rFxRkVgjw+hUNOstrxCbTDYziOjoHUA9bgmc+BVh2oV6lt1YFmHWg3gE4L6DSpvemQda9J\nEG3tANs7JF6CW4A/CASCJG68PjKPl5K53W7ARQUuod2R02QYgKFTXtN8hk9enuPjTIJE13Qi85mG\nljgb9Em09bvUDwSB7V1gLwzshqkNRYBwFAjHyGIJIBIHogl6/YHuKTGf0/boBYlecXEGcXEOQ37n\ncLtJRB1JEXX6jL73k2dANLr2RY+YzzHP5yk69erVQvR0dn4Ox94e3QPPni0KquPjB9tOvo0+GNA4\nYquOr2yaz2NSLMK1t2dWyfdms9Q/OMBfNRr47/7O34EnldqYSKoxnWJ814JY9s2FcaOB2fW1ORd4\n43FLTNnMF4/DE4vBG4/D9RaW07Gjz2aYXl8v7ip1OpjKdu+993Dy9//+vX/PRoqmbzPGfI5pu41p\ns4lps2kJoUbDvJ7axVGzCVcgQI4tnfsNi8VMYeQJhzdudaEPhwtnnJnHQdjOQJtfX9P5ZpmMuQI0\nBzBprgcY+L8MMZ1ils+/mQeiJgS/30ys9dijRaenD/L4txACaLVIEL1+CfHqJcTrl9Q/fw34A3Cc\nPoN2QhMlTZanJJIe4qm97g1QKQDlArWVIlArA9USUC8D9QoJoVDUEhXKwlEgEqOfhSLAbgjY2aM2\nELSeentqDAPo94DeDf0t122yThNoNUj8tRpSDNbI1N8cT5El94FUBkhmqE0fAOks/Z1rRAgB1OsU\nUbw4g5Ci2Th/DXH2CjAMaCfP4Dh9Dk2a6S+7u2t9L4B8cKFctkSUbVExOzsDNG1hYWEXVK5M5lEP\n/53Vam8u1mQkW53J6I7FrGOHpKm+Olz5obcqV8WYzzFtNklI3bXQVottOd+I+RzeWMyaa6Spa080\nar0WjcLzFuTiPgQsmu6B0HVMOx1MWy0SPK2W2Z82m5jcbhsNzLtduEMheKNR0wkXnDEWgzcaNQWR\nJxrd2CcwhK5jVq9TteFSaeGgUdWfFIsQ4zE8cmBR5s1madCRrTuReNQb0CzoqJ4wUo/rS9PLZTjT\nafMJtNuDu/MBJhoAdHzH2SsYUhSZwuj1S2viO3kG7dk7Dzvx9XtA4YIsf05WvARKV2SGAaSyJABS\nWSkM9oHEPpBIk2AIRx91e2sjmM9JPNUrJCJrZRKU1aIlMMsFEk37OSBzaNnBMVn2kKJqa0S0WuRX\ndsF99ooEVSAoxdQz8qln75B/HZ/Q04prxn7v2R92mJ2fY35+Dr3RoFIYtqf93MfHVE7h6AjORyim\nufB+53NMq1VzkafElH0ROK1U4NzZMQWURx16rcY7ee3a4Jyk+XBoLdjVQl71m02zr+a0ebcLTzhM\nAioapTktEnmj74lE4IlE4I1GKed1Q//+ZdlI0fTYJQeEEJj3ehQBUsKn3TavZ7I1RZG0ebcL187O\nGw6iBNEbjhSLkTrf8InELobUCezmKezlsmmzeh2ucJgiRLdFkRo0Mhm4HjAU/1W+YvR6JIhUQUdb\n7aLZxQU0t9uqZ3N8vPBItvvg4EGeZAJk7srVJcSrF1IQvSKBdPYKotmg6NCzd+B49twSR+veYhGC\ntsouXwNXr61WCaThAMgeyUn8yLL9HJDJUVToKSJCug5MZZkAlc80m9IWnKFb9ZoAen8OB+UzSfvk\nr/4aH//wh7JsgZ9+/tgIQRGq0hUJUSVOlUAt54GdEH32h6dA7gQ4OKH+0TPaIlzbW5Fbu7dF+qsX\nEPkretLPjEw9h/ZMRqoy2Qcbx4zxmO5XtYhR2+Dy/tVcLrO0hkveu25b/bF1PTCx0jEqhoFZo7Gw\naJyovu01vd+HJ5mksTGdhjuVovEzlaLXUim4Uym4o9GNFxfGbIZpu20KqWmrZQYIzGCBfc5sNjHv\n9+He2zOFlDk3RiJwh8N0fUfrDAQ2ZuvwWyWajNkM004HM2nTdtu8ViJoJl8z+9KcPt/il3b7i1Nm\nu3bv7W1MTtDXIYSA3uthVqthWq1iVq1abaVittNKBfNWyxRDCze1Ekfqhk8mH+0Q2LvQu138xb/5\nN/itWIwK/tnF0eUlxHhsFfzL5Sxx9AgrViEEUClbk5F9lZ+/pMno2Tu2LRMZMTrIrXcy6veAi1fA\n+QtpL4ELaS43TcK508XJ+eCYttQeYpAyDOCmDbTrQKcBXDfJbtpAt01t7xro35ANezIRvE+tPpc5\nTTKvySXzmpwuymlyOhcP7DVzmuaU01Tv4+OgAGYyp8ntoSRwfxAIbFMeVWAb2N4j4bK9B+yEgb0o\nsBcBQjEgHKd2e+/hPqNaGbg6syx/Rt/j5Svrezt6Dhy/I+05fYf+9T1hKWYziMsLEvOvXy4IK9Fu\nWeJe+a70ZTzgE2tmlMpeh+r83Lr/r64ol8p235vV02VB12UT1B9i8W6Mx9ZCVEXmq1VakNpe17td\nuONxuJNJc+w1+4kE3Mkk3IkEPMkknI98kPF9UHP09FYAwgxU2NtWy5y7xXxO87M0dyhkzdPhMP0s\nFLJeD4Xotb29tYv7jRRNy/DTf/yP0f30U0sUdTowJhNSseoDUx9iKEQix/ZBu+Vr6gN+rFL/60QI\nAf3mBtNaDbN6HbNajURRrYZZtWr1pcHhgCeZpJtP3XS3bkh3Mgl3LPakYgiQR3/U6zQYquMk8nnr\naImrK4jp9M1BURZ2dB0d0RloD3kQqswzUtscC3lGZ6+Are0FQWRuexwdUyXqdaHrFLE4ewGcfWEJ\npLMXlNB89Aw4fEaT68k7NNmuOWIBIUjsVAtArQjUCkC9BDTKQLNCbasGXDdIlCjhEYqRINmNUKL1\nthQq27tAcIf+bWCLzB8kkbPOaNtkDIyHJMqGPUoCH3Tpb+ldA90OcNMiu26R0FM2HgKRBBBJAtEk\nEEsDsX0gLi15ACSzJMTWhYpSXbwkAay+64tXFKWKxGxC6h3g9F3g9D3aOl3jvWBuI798sbgoeP0S\n0HUrMmXPnzo+hfbAW2vCMKBXq2ZUaqF6ujwyyLG9vVAR35XLwX1wQFuCuRwckciTRzWMycRc4Jqi\nSi1w5fiuFr1wuUwh5Ukk4Jamxnh3PG62zrc02Vsfj2muV4LKHviQIkzpgGm7bQZOZjc3cAaDC1og\n8bu/i+f/5J984/fy1oqmxiefAID5QbhDobc++x8A9NGIBFCjgXmjYfZn9bppUyWQ6nU4vF7zJnHH\n44s3jX1FkkjAuQGHVQK2YyGKRetwWPthsfLsLcfOjjWoqSM/5Nlo7sPDRxnchBBAuw1xcUZJtXIr\nzcwHAUgQHZ/SBKFW3qfPoa376IrR0BJGyl5/ThNmNA6cvGtNlifv0HUivb4tqEEPKJ4BxXOgdAGU\nL6itXJFpGgmFRAaIZyzxEE1JS5JYcr99C5Q7mYwpYtasWMKwUSaxqIRjNQ+4vUD6cNH2j4HMCbB/\ntL78JV2nLb+zFySqzr4AXks/GfaliHqP7ORdstwJVVdfI6LVMgWUePUC4uy1db/4/AuRKVNQHZ2s\n/365673JxZg6e9F+/qLqi/GYzvmTRwypvnmIciYDxwaNpXqvRyLq9mK5WqX5wraohhAkouymhFUs\nZrXSNi25fVWEYWDW7ZqCatbpwL23h9APfvCN/58bKZre5mNU7KhI0KzZJBHUbJp9UxTdMjGfv+m8\nt53cZptWSVYIAaPTMQ8fnReL1mGkUgwtHECqTnVXg5IapDKZpXIT1uErC08enb+2njw6o0f4zQTs\noxO5cn5mJmTjIYTbTQd49Tnw6jOy158DZ58DjRptwagJ7/gd4Nl71AbXNIj3u8DVSyD/Cii8prZ4\nRjboLk72+0dA+ghI5YB0jiJEG86jjy1CUISqcgWUL8lKUnQWz+j1vSiQPaXPNXsKHDyTdkrRtXVw\nc22J7HOb8C5e0hN9djH17H3qb623ppkQAqhVqTSGFFH2MhkIbtETn8eWOY6pTAYeqUQBABj9PuaF\nAv7iT/8UvxUOv7moKxaheTzW+HVwQK063Fr2H+q8v/ugDwbmglstxk1RZV+gy/nK4feb85BLzUfR\nqPVaNGpeu6JROB+pwORTwqJpSYRhkABqtTBvtTBrNt9sm036uRRH81YLjkBg0bmiUerb1LzpkBse\nPjUmE+iVCublMgmhUgm6ra9M83pp8NjftwYW1ZfX63r6bFlfEbMZVV2+PKcCjxdnMGQrLs8Brw/a\n0TEJo5Nn0E7UoH36IDVuYBj0FJWayJSdfUERDDWJqQns9D16wmodOXSGQZP1xRfAxefA5RfA5Qvg\n6gVFkw6eAbnnNIGbdkLbTw/hm+MhcNMEui2yXhvoXwODa2qHXWAkt88mQ2AyonY2AeYyGXw+o9yl\n2wf2ag5Zx0kmgjdm+DgXpZwoXwDwBckCO0Bwl9qtPblNGAZ2o8BOFNiJUA7VutF1ikgVzkikKqGa\nf0Xiai8K5N4Bjt612uP31/ddTKf0EIDdB199RpGq3dBiVEr5YTy5dj9YEFSyTIJx9lrWoqISBVYN\nKlmHShX53H+YEgVfNrYIIWC025gXCpipxaBaGKpFYqEAzeGAM522xsJb5kyn4UokHuyBk/sihIB+\nfU1C6ksW+/NWy/p5s0kpE2qOU20k8mYbidDPw2E4N6Bw8ipspGh6SFQ4c95uL9is1aK+bJU4Un39\n+hqOYHDxC7/tBFKF2197G3KljPEYerWKeaViiSJ7X5ro9eBMJuFKp98cDGzXTxG6VpWvxdUFjMsL\nqqB8eW4VAqyUoSVTMAdaVexRrmQfolYNAGAyoeTd118srvBff05FHNVEZNq79Lj+OgaR2Ywm4fPP\nSBwpu3xBSc2H7wJH7wGH71A/95y209Y1gI36QD0PNIpAswQ0i0CzDHSqQLtK7XWDkrT3YiRSdiJk\nWyESL0rI+LfIfEF66s3jJ+Hj9lAyuNN2aK/mkMJJJoLrc2kzWUl8LJ/AG5BgG/WBUY/E2eCGhFpP\nJqZ3W0CvRaLO4wNCCWAvAYSTQCQNhFNANA3EskAsQ613jdtt1bwlaC++IIF7/hm9/8N3yY7fp+/x\n+H2K/q1DQBgGUMpbvnr2hRX11HWbiLIJquzRgxT2NGuUXZzJaPCZVdjz8hxoNqiq/eEx1P3tyB1B\nOzyCljsCHvnQX/WejW7XWlzeWliqMVVvNOAMh2lMTaXgkuZMp6mvXk8kHuQInXVjjMcLgYNZs0ki\n63awQf6bebsNYzSCKxwmi0TMudMVDi/0zWvZdzzRE3VvrWgyxmPMO51Fa7ff7CthZHvN4fdbX1I4\nDFcoRF+W/NLML09dRyJwhUJPnhy9CsIwaDVUrZIgUm2l8kZrDAZwJZPWTXvrBnbt78O5vw/nE9YY\nMXOL5LESRuHKOl5CiiT4fHQcSO4IjtyhPGZCHjeRfbgSAgCAdlMmYcvkXLVqrxQoQmTfUlOTzO6a\ntrPmcxJHrz8Fzn8p288oUpHIWpOqEkjH768nOXk6AaoXQPkMqJxTv3IO1C5JLE3HUkxkgeg+iYpw\niiySkgIkTmJo01eaQpCg6tTI2lWgXQFaZRKEjSLQKFA/uAMkDoFEDkgeAaljy5KHJPDuy01biuAv\nLFF8/hnQqVNE6uQD+p5PvgOcfofyqNZ177YalpCy59jVyvTkpfLvk3cpt+74Harw/kCI8ZjGArlI\nMi7PzTFBXF0AgDkuaIdHcBwcyvP86LigB1swLfPedZ0eeJERe71SwVyafdGqNxpw7u3RojWVWmyT\nSTgTCbPveAKReB+M6dQMWNiDFzMVxFDBC1tQY95uQ+i6NX8rURUOwxkK0WvK1L/Z2zNfu0+u1kaK\npq/acnnxD/4B2n/yJ/SB3fXB3NXeeu1tiP7chZjPoTeb0Gs1zGs16PU6mbquVq1+o0FPidhvLHlz\nmauZVMq6yZ64JogwDArP56/ozK3Cmy1cLnk+Gp2R5jjI4S+7A/zw936PBsSHziGYTOgJJZVka39a\nzZCrb/UYuIoc5U7onLN1oOuUhH32KXD2S7LzX9JWTnzfmiCPP6BJM/ecHs+/7++sXQHFF0DxJVB6\nRW3xJYmG+AGQOgHSJyQQkkckDBI5ihht2OD94Fv/hgFc14HqJYnH6iWJyuo5te0qfWb7p0DmHSDz\n3LJY5v6f17BPAursM0tAn31KIktFpU6/Q75y8gGQOljfdzQe0UMJasGgnuC8eEkiXT2cYD6w8Jzq\nfj1g2RYhBNDpmIsr49bB1OLqAvB4SDwd5KBlDmhsyebwl/UGfvh3/8cHLaGw9N+h6zT231741mpv\nLIzFaARnPG4JqUSC+okE9dXP4vEnXQjfF300wrzTgS6fqlsIkNwVPLm+hi5f1zweJP/RP8LRP/tn\nK//et040zdptOLzeJwvNrRNhGDA6HeiNBvRGA/N6nfr21m7X13CGQuYN4IzHrZvg9s0Rj29MOFcI\nAVxfQ5QK8lT3AuUXqdPdSwWIcgnYC5kDlpY9sAYydeL7HSvCtU+ChkEVnFVtI/Vo98VLquqcPqDH\n99UqWk0A0fh6H4WvFaUw+pQmvte/oMkwFKfJTomj0+/QZHjf+jyzKVB4AVx9BuQ/A64+B/KfA+XX\nwG4MyL5Dlj6lCX7/GYkj15qjd4YBDDpAv0U5TUNpox4w7gHjPuUzTYfAdATMVV7TlPKZDP1WcUsn\n4HABTjfg8uCTsxY+/t4J4PYDvi3AGwT820BgF/DvAMEQEAwDW2F6bd1jzHRM0bjiq1si9AXlbGXf\nAbLvArn3LUuf3D861buRYuqXll+d/ZJ+5/EHwLPvAqffJd86+YCeclzX324YdLyOElFqoXHxEmhU\ngcwRCahjWQ7j+DndYw+QO3Ubc+svf0ljUeEKRiEPkb/CX376Kf7WTRsYDihvKnNA45Jq9zPQ9rNU\n6PMRDgJfFmM8hl6r3b2YlotsvV7HvFaD0e3CGYnQHCLNFYtZ16ofi8EZi8Gxu/v2z7tCQO/3AcOA\n6xtEGTdSNL2tGOMxjFaLVgSNxpvtbWu34djeXnBKe98URMo28NRqcyVXLpIgUlYpkTgqFiBKBcDh\nsAaY/QwJokyW2uwBtPT+emsXfRX24oEXL62igarWzW7oVvHA59Q/OKZCiuukXZei6FNLIJ3/kvJi\nTj6giMCz70mRtIZtNV0HKmfA5S+Bi1+QXX5KEZHkIXAgJ+qD98gyz9fzBNd8CrRLQKsAtItAp2xZ\ntwbc1ICbOgkk3zawHZECJgT4d0nY+LYtoeOReU0uWeDS5SZxpA7tVcUthW7lNM0nlDw+GwOTAdm4\nTza6AYbS+m0SbdMhsBUBduLAbgLYSwK7SSCUBsIZILwPRLJ07VjDfdm/JuGal4L16jOyVpm+h8Pv\nAEffBY6+Q/1E7v6i4qZN4un1L4BXv7Cil5rDEucqgnn6nfU/ITke0X2oIlIXL6l/9ZpKbBw+s9UZ\nk0o4T4cAACAASURBVGIqd7LeRcrXIAYDcxwjYUXiyhrvCnRYsjm+ZWk828+QpTPQ0vvABiY8i9mM\n5qd6nRbtcpfijcW7bI3xGM5o1JqvYjHrOhp9sx+JbMzifV2waLoDIQREvw+91TLNaLep32yaraF+\n3mxCbzaB2QwO6ShvOJO9tTnVpj45AQBiMoGoVigKVClDVMokhkpFiHKJ+uUShbf3s4uDhOqr1x87\nb2A2o5o1+XN5RMiZdVxI4YKKJ+ZOrAFZiaTD07UfpgqADnc9/6VtW+0zMn1OK/zT71gi6eQDStS+\nL506cP4z4PznlkAqfEGJzIcfLE7CmXfu93SYEEC3DlReAfUzoHYGNC6A+gXQvCRBtJcEIgeW4Ail\ngb0UCZLdBImTrfB6cn7WwXwK9Jr03rt14LpC1qlI4VcCmnkSWHspIHYIxI+B2BG1yWdkW/c8MHk8\nJBGlvsOLT4GrX1Lieu4D+R1+Fzj+HrU79yxaKgQVIrULeRWZ2tqV+VIqZ0pGprYeYGv85pru2fOX\n1qLm8hXdy9MJ3b9mNXtV0f6YzkF8xMWluXAsqUWiFFP2hWS5CACmgDItpdo0kEpDSyQ3ek4wxmOa\n+2SCt95owJDznxkgsPdbLTj8fpoXbUJKteZ8Kc0RicApk7w3lY0UTevachFCQAwG0Ntt2gZrt6mv\n2laLXrOLItmHy7X4Rdq/2FtftBJB2gaXC7AjRiOIWhWiWgGqFRJG1TK1FatFv0c3cXofSKbp6A95\ng5s3e3of2lMUehMCuOngk//7/8LHybB1Zpo6dqJeBuJpGkRzJ9bAenhKr62rrtFt2g0rKff8M2vS\nmU2tCUZNNscfALE1PCmnttYufg6c/Qw4+ykJpfkUOP5wcVI9/IASr7/x75oAlZdA5QVZ6XO6rr6k\naEvyGRA/AZKnUjwcURtKb4QYepCcptmERFTjkoRi7ZyEY/U1UHsFOD1A+h0gJS39Lln8+H7bm70O\nRQnPf0HfvRJVwV3g5CP67k8+pO89fXp/IaFKVZi+LRcAF5/TkTNK8Ksn+Y7fe7jaXTfXdLTMpVwI\nXb6yxoBOk7bRD47pWKDcyeI5iksmpa/TV4QQQLdL42tZLjqVVeWCtFwCGnUgFKYxNpmSJvvyNSRT\nNC6/BREcVchYiSnjVuBBb7Ws4IOaf1stQNNorg2HF1pnOEx9++vSHOEwHI9Qt/CtEU16p4N5qUTi\np9P58rbdXmg1txvOUAiOUOjND1++dteX8hgf/joRug40GxD1GlmtahqkQBLVCkS9CoxG0BJJIJF8\n44a02n0q3PiUSYL9HhXfK14ChUvb4abn1GoaPvFH8fH3P7QGRbXa3M+tLwH7NkJQ5Wf15JLd9Lmc\nMOQTa0ooretR/pumJYzOfkaRpOJL2qo5+i5w+n1rsoze43fOpySGCp8CxU+pLX0GtPJA9FBO/O8A\n6fekGHhOW2rrQgjaHhu2gWGHts/GXbLpQOY0DWVO0wTQ5aG94lZOk+akfCanG3B58clnJXz8gw/k\nFt8Wbfn5dwHfLhAIAcEI4F7jNrGKwJVfAOUvSGiWvyDrlEhgZj6wLPtdEpzfdLvPMOgpRuUbZzLS\neF2jqJTyjZOPSEwF1xAhUmLKHkVV5S0C29b9YJZGeI+Oz3moBeZ4BOTlOHF1RkLKfiCyz28dQJ05\nJFP97KFZof0p6gUKXQcadSmmKpZVyhA11VZJXG3vkHhSIkqN6YkktHgCWpzaJx/HV0QIATEcLgY2\nbgc5Oh0SWep1OecDMIWUIxSiuV8+UWde32pd2exKZXI2UjTdReef/3N0/+W/hOOuP159KPYPR35o\nb3MZeDGZWEKoUTdbKGFkM3TalEgdT5g30OJNZN1cT1G35M0/TgDXbaB4RdtoytR18ZKKPKpBzRzc\nDuUK8phyjx6S2ZSKDl69AM5VjSNZK8cXsOrkqOjR8ft0VMg6PltdpyTh859bW2yvf0KJuycf2qII\nH9L22n1qA3WbwNVPyfI/A/I/J8EUzdEknv0OTej779OE7rqHGBWChFD7CrguAp0itb0q0JXWb5Bp\nDkrK9ocsYePbBrxbgCdAydwun6zT5JFJ385bdZp0qs+kz0hYzcbAbETCa9InG90Ao2sSZ8MW5UZt\nxYCtOLCTALaTwG6aLJSVdkDv6T5MR/Q5F38p7VMg/wvK8Uq/B+Q+BA4+BHIfUT9wj9836FIU6vzn\nluC+/JTKPig/Ov4etcnD9ZQnMAx6oMEembqUBVUBWQLjXSrYqUpipA8fdmtNnd2nBJRalKkFWTkP\n7OzRostuGVt/5+lKFCiEYQDNJgmpasVaKNdrtEhW1qgB3S4QjUkhZRlUPxY3W0Q2O2Xk6zBGI2sn\nSQZS7DtN9iCL6kf+6T/F9u///tK/460RTd8GxHQKtJoQzQZEs0kCqNmg60YdotkAmnXqN+rAcEjO\nHotbjh1PALa++Vo0Bu0BH91dmfGInkIrF6hWUSlPA1I5b/XdHmD/4O7BKXNIh48+tLgTgpKxVQHB\nyxdWhexageocHb5jDepH79Egv7NGwTboLk5m5z+jnJVQ0prIjr9HUaTk4Tf/TAwDqL0mcXRpE0mT\ngZyYP6JJ+uB7QOZ9SrT+Rr9HBzoFoP4SaLwCmmfSzoH2JYmacI6Ex14G2NsHdlLSElKwxEgYPTZC\nkKDqNYBejaxbBW7KwE1JCr080M5T9CpyBIQPgdiptGdA/DkJrG/6PY16FNkr/Jy+JyVkd2LWd5T7\nCDj6NUpE/6a/R9fp6cjXP7VFpX5Gwvzou1ZE6uRDyn/zren7EIIOPFYV6e1FV9s1Oqrn8B2qN2Vv\nd9d4wPSXYRhAvWIt3sp5KapsCzunk7b/0nLsSmeBVJbadBZIZh4uyv0NENMpzTNSVC0sttVivF6j\n+afdooT1KM055vwTjUGLxmjukX0tGqMo1ibNO4/ARoqmTTxG5TZCCODmBqLVJCFkMzQb1G82bCKp\nAQwGQDgCLRIlp7vLKZXyj8WBvb2njwjdxXBAjxBXivQYfqVo9ZVIGvaBxP7igLKfkwONHHDWcLbV\n0r7Su7aOp7h6aVn+JYm3g+eLA/Thu0DmeL1HZyxEj1QOys+pKvah2jqRk9TRd++3dWLotAV0/jfA\n5X8hu/opRW4Ov2+JpNxHQPQb1uqZT0kUVT8DKp8Btc+B6uf0WjBC4iH2jMRE5BiIHpPACDzdGXVr\nG1uEAAYtoHVB1jwDGq/pb6+/oGhW7DmQfB9Ivgck3gVSHwDRk2+29WbolFx/9TMpen8CXP2EvoPc\n94HjHwCHvwYc/YBype4TKbppLebHnf2MSiJEM1LESzv63vqiUorRUN6jLxYXMvmXlBN38Jzqj6mj\nfnLP6cy+dRRrvcWdviIE0L22Fn6lPAmpSpHGvUqBRNduiMa9VJYS01MZElOpDJDcp7HxsZ4WXgGh\n65TUrsRUs0HzmVzUi0adhJaa3647wO4utIgSUXJui0ata2lq7sNbfj4diyZIJd5pQ7TbEO0W0G5B\nSEOnLcWQfL3VNF9HIEBOoBwjHCFHicYsR1GqPBIlEbTJe8vzOdCs0eP4dquWgJoUSbUSFXlMpK1V\nVTprE0gZGijC0fUOpl+C6StCUAKoOlxWHTirbDalwTX3jjXYqoNR172CFYKqRqsnnVSCbv4zK3p0\n9F0rgpQ6vt+WxHxG+UYXfwNc/BeaTPM/p8fjj34g7ddILG19g79VCOC6BJR+CpR+BpR/QdY8o4hR\n8n2bOHgPSLxDW2jrYDYGRm2y8TUwuQEmMq9pNiRxosu8JmN+K6fJIbfsVE6TD5/8vIiP/6sPAe//\nz957Bsl1ZXeev8yqyjLpM8s7FDwJEADhCIK26LqpZhu17x6pR6ZHbnd2Ymfn037aLxsxsbGxOzGh\nGUkzUqulljTt1FKzLT2LFgAJAgRBEB4olM1K732+tx/OffVeFgrlUAASs3MiTtz7HgpVme/de87/\nmHuOW+U0eaHNr0KAwZsLPVopn4S5cwIoDTAZ+kS8Vj3boX+38MBuGNgD7u61/Z1kSN75+Al5/+Mn\npGzCyF4BUSP75N33bbu5sgjVigB+I0fqykcCrHIp86DBxl3micybPcG3kAzvlNFM2mr0TF0R0DS8\ntb5f4uBm6Zm4Rq/wmvVQrSb1p2YmRXbOG5aTpnEZnpXPbACoXgt394t87R24bXJ0raTXatKpQTkK\n5p0EBqiKRkxdajgVymVJdjdAlOFICAZlrphAEJv6Ofz+hvFoNSRoWivpxaKAnEQCPRGXeVLNYzHz\nXiJuAqJ4DAoFeYn+wOIvzvpyA0FsnZ3y8w3kgl2SymUBQ5GQbFaD52bqx0RUjrp391k2cN/1m9oX\nuDOVnitlmJ2AmasiKKcuS87R1GVpGdLULIJycLMpQIdV1/hblXiaTUkozah7NK5AkqZZlMl95rzj\nJi1iAyBdOS5K8spxmD4j+UdWJbnhfnCuwaOj6wKGJj6AqRMweQKmTgoAGdwrSr5/N/TvEu/JWpOm\ntRqkpyF1DVITkJyAzAxkpiEzC7kw5OYkD6k9CO0BaPMJyHG4weGEFqfkNTW1Sr0me7MkftvsgG4W\nu9RUTlO1CFWVz1TOQjkDxRQUE1BICDBr6QBnN7h6hd394B0CzyD4NoBvBJw9a1dkpax45WZPw/RH\nAkKnT0kocnCv8NB+GN4vocu1rNl0RDxR4ycEUF39QJLRN9wvAHrTAdh4QAGpm1TI6biE9K5+bK79\n8Y/lhObILtik1v2GnVL3az1qfi0kTYPoLExcMo2liYumAdXcYpELWyT8N7BRxp7bW56g7jPHo8oo\nnVLgato0VMPKWM2mIdit5HC/jN19Aqzm573yMw0CKpajeT0dEyeE1Rkx77QwnBNxpbdTKXC5FIBS\ngMsfMPV2QM19/vlx/t466+mGB016IkHthV+IyzApjDEa9xJxcRNqWv0D8/nlIdYhVnnANn9g/n4j\nFh1bljQNEjEBQtE5iChQZOXwrIzGxuvqlU3W1WtuQOtG7Oq9sxtP0+RU2sw4TF+VcWZcANH0VRGM\nXf0SNuvfKKMhDG/ColwR5dJSK2f8jCiF8TMClnIpUQZ1dY92SUPXm11T1bLktoyfMMNsUx8LQNq4\nXxTfxv0wcr8UfVwt6brkGU0ch8njApAmT0CbB4b2ifIe2ieK3LOG76PrkJqE6FmInofYRYhfhPhl\nAUodnQJCvMMmMHH3g7tPgImzWzxCt2tvapp4snJhyIYEvGVmID0l3yM1Aclx8XT5N4J/MwS2QOd2\nxfcI0FrLc4pfE3A6eQImPxDWdRg+oN7Dfpn71ngiMpswvVFXjgtnowKkDLC9ab+cirzZQp26Lr0H\nr56Wcgjjqq7U5HnpOziyU9WXuk/Goe3rly+12GdJREzjauqyGFzTV0WuJCLQO2QCqb4RGftHhIM9\nd7YVUKlUb+waBq6VI7OiC/xBkeGLcWePcFfPnTN6b4J0TZOuEom4AKlkQoEq5QSx3CeZkKiRgQsc\nDsEC86BK4QKFDwR8+Wn68tdXVDy6IUGT1S2qTU1S/T/+d/mCXt/8F65DlH6Z095+94EfK5VKUucn\nOgfRMMTCi88jIfEKuTzmhujqkZo/3ZZNYoCkRnHxVsoQnpbjyTPXZJzncTlp4/ELIOofUUJsgwi0\nwU2SlL3gZMe6hnJ1XY70G9WYrWM2KcJ9w04TII3slD5i6/Fsy0WYPG0CpKsfwMxZyU8xQmwj++QU\nVfsavVXpEFx7T/H7MPG+eGyGDwgP7hOQ5OlZ3e/VdQEXc6eFI2cgfAai5wT0dN4roCK4DYJbBWz4\nRtb3aP8KaV3WSzkHiSsC/mIXhKPnBRzqmnzfrh3QfR/03Ac9u8HZtbq/YYREDQA1cVzY3gTDB2HD\nQdjwgHDHGo2FbFw8UkZY9+oHUrxzeHd9WLf/3vVpl1OrSgsZq+ExfkaS0QO9qhr9vZbxXnDd4vy3\ncknkz+RlZaSZxtrYx+cZba9A77DIob4NIpesY2ffnfFULaRqVXREeLbegI7Oyb3onGlcF3JiRBtA\nqlPN5+91m/NA5/p3QbiNpOs65HLzAEpPJMwIlMXxQipJy3f+fkXpMw0Pmu5qKhYF3MQiAoauG8My\nj4XlupCHQJdasN0yNwCRdVF39ci/NVJ40LDoQpNy6swYZycgNCGCKRERIdO3iBDq2yDCqW11J7bW\ntFaqFRHeE+ekQvbkeXPUNbONiHXsGlo/4JlPq2TeEyqMchJCFyVcMrLX9CJt2AOta7TAy3nxWlx7\nD8aPwfhRqXFkKNoND4ji9fSu7vdqNQEJMx/A7EkIfShsbxJw0L0LuncKaOjaAe03qfSqRShEoRiF\nYhxKSeFKBipZqORUTlMR9Kp8PjTAJmxvVjlNrdDcztipWUYP74EWN7R6oTUAbQFoC0J7l+Q+3Qxl\nwwKewgo4hk/D3EcS9uvZA317oW+fsH/j6ix+XZeTe9feN8Hv5AdyUm/DIdh4WN5p/+6152blU7Ie\njfDv+EmpzTWwQ3mk9gqQGt699tOVC6lWhdmrCwyVT2Q/tjmlF9/wPVK1fvgeue4evuVgZWxsjNEH\nDigjb9w08GaUkReahGRUZFrvsMi13mEJ+fUMiQerZ0hyJhvJmC+VROcYoCoaNkFVdM7USbGweLBc\nHjnJbOgm6zzQabnuAn9nY+mlW0ANCZoakioVqSuUiAkQikchGZMxFjHvJSzX5VL9Ylq48KwLsLNH\n6n800uYyqFaTY/nhaeG5SfEKhadknJuU+x0uERI9Q6bg6LcAos6+2xf+0zTp2TXfEPWCCOGpCxI6\n6BwwhfHQPWajVN865j7puvRWM2ogGSefEtNS/8hQQiP7pA6SY635QZqc2Bo/KgDp2jGYOy+ntTY8\nIAp15JCcZFsN8NN1SF6D6fcUvw+zJ8Rr0rdfKf+90Hu/1DJa9eeuQmYCUlcgPQ6ZcchOQWYScjOQ\nDwkoau+C9k4FcPzgUHlNLS5o7oBmlddkbwZbc31Ok15ThS/Lks9UyQmX01BW+UzFmOKogClnP7gG\nwDUI7mFhzybwbpL7tlWCZ12X0F7oQwGasydh9gNJZO8/IDx4CAYOrf45ajVJML96VN7/xPuSk9a/\ny3zvGw7JycW1rutiVg4WGHlS4yflZGb3JrP8wYg6ielZpUdtKdJ1iE6bRs3EOTnFN3FWPML9m1Xz\n6G0yDm2XRtLruYeXo3nvucU4tBqNoUkx0gx52DMo3D0ooKp7ALoGJJe0EaIBC0nTRO9Fw6bBH1s4\nj8p1PCL6scMp+i7QJaAqoOb+oLrfaRmDctKwEbx1K6T//4EmXZdK08m4gJ55IBRb/NoAR7msxIJ9\nQXMhGHNfUIEf60LpkiP1jQiCDNJ1yGVk00dmTDbAUUSNsTkJm3UPyGY3Nn7XgLKmlBBov811dTRN\nhOrMZQFHM5cUSLooTWk7PCJMB7erUXHfOpcSAGmlMXNOlMvEKbMOkt1eXwNpwx7JG7mZliKZiCjH\ncaUor70nR/xHHjQV5cCe1Ye/ShkBRlNHBSRNHZP7g4dg4AEYOChgqWOVJ6NKKYifhfgnkDhncmYC\nOnrAuxk8I+DeIADFNSjAxdkHrf7bt4d0DQoxyM9Cdgayk/IZM9cgfRVSlwVkeTeDfxv474XADgjc\nI/OWVa7/TAhmjssznz4mz7zVI+BpUHHfPkl2Xw2VspLIf+2Y6WWsVWR9jDwo62P4wM0V56yU5ECC\nUUfKMAxanfUFOYd3S2ud9W6hU8zLfjcMIcMomr4onquBLdI6ZmCrOe/fvD65hqulbNo0LOem6g3O\n8JTcz2clX7N7wARS3f0ydvWb/3a7ZexqSdMgk1LRFANMRU1AlYjKaDgYEjH5eZfH1KV+xYa+nb9W\n94zr9o47ol8bEjStKORSrUq9jGQcUokFY7z+2uCUuudolYfvDZgvx3gp1hfkD5po2O1tTEtgMdJ1\nAXqxkCRPR2Yt8xm5jqrRbq/flMbcuoE7+9YfZKyUSgVpCzF7RVz4M5cEJM1ehtA4Y4UORvfsEME4\nsLVeUN7sSbXFSNelz9jkxwogfSRFCEOXpM/a8B7lRVK1kHw3KaTLBUkQHj+mQjLHpKL20AHxIm08\nLIrQvYacmcQVmHgHJt8Vjl8Wz9HAIRh8AAYflCTtlX5+XRNgET4J0Q8h+pFwKQ5+BSwCin3bxXPT\nfHvzmm469F/JQfISJM5D4qyAwcRZSF4E5wAE74POPdB1P3TtFRC44uenS+hz6pjw9DGInJVw5+Bh\nGH4Ihh4G7+DqP3diSsDT1SOyjqZOQmAYhh8QEDVySLxTNxOe1HWIXjMNhkm1PxIzkhc1vNvkoV3g\nXWOZheUoHTcNqXm+JDKjlIfeTQpIbYa+zWJE9W2SVkQtZmjptqaJFAsWg3VKzS2GbEQZti0OkcdW\n7lrk2tWgUYvFqFYTvWx1ViQsDgvDkbHQ0aHVTCBlsDcgnqv5a//1o9t7U56txgZNP/ouvP+2PNBU\nQkBSWgGhQl7K3Xv9lgey4OF4/SYoMgCS1393xlx1XSyWWEg8P/E5iIbM0bgfC0kord0JwV5zQwV7\n1YYyQJG6fwuKwq2KqhWITAkwCl0VYBS+JmPoigjAng0i1Ho3iqAzrMa+TYwdfe/WCbZ0pL73mjE6\n2mHwPtOSHt4tSmGt4TWDtJrU9pk4rvJWjknopeceS6jlAejevnoAX6tIeOja2zChuKlFlPDQQzB0\nWMJsK82F0XXxwoSOQfh9mDsOkRPiGeraK6Chcw907hYv0mpDWiDhu2IYCrMyFsNQjkM5AWWV11TN\nQq0orJVVnSZNKQybhOuaHGBvhWYnYx+lGD20HVpUPlNrp3BbD7T3QmvXGotPVgVMRU8JRz6U56FV\noXs/9ByEngeEnasIwZXz4o2aPKLA7TtSX2roYdjwKAw/Irljq14PVZj92Mx5u3YMYuMweL+stQ0H\nJeH8ZsJ6BhWz0ibm2ik57DBxSvaRvUm16LnPHAd3rq1UxkoplzaNrulLInNmLssYnZI6akrWjCV0\nRkefgL6N0DMCwf47G0bSdSlxElHGb9Q6Wgzj6KzI1WCvnP4L9ir53wuBHnWvx5x3uO4egGWlYsF0\njCQsYCqVMHGC1XFi4IhcRhq2ewP1GMLrh8efhc98eck/25CgaZ5e+5UUU/T467+YLyChr7vF83Mj\nqlQkkTAehkRYxnmekzE2Z163OMyFHugxN0HnIpuitUGqzZYKkkMUnoC5a4rHzXkiJIKqd0RAUe9G\nmRsgKdh/a9+zrkNqTkINU5+o8YyMtWq9UB+6DwZ2gqdzff5u/JoorYn3BSRNnZB+Z8MHJXyy8UE5\n0baWhNtiGqaOCEiafEdCQL4NsOExGH5YlO1qvEjVkoCA2Xdg9l2YPQLo0HMIeh+A7oMCDtpX0bRX\n16E4B+kLkLkE2cuQuQy5a5CbEJDU2ilgpq0H2rqgNQgOPzh80OyGZqfkNdlbwa76z2GsF01Ai1ZR\nwCqvksfTUEkJ+CpFoRiRz1GYlX9r74OOIXBtFHZvUbwV2lb57rMzEP5AgGXoPZh7TxLQex+Evoeg\n7xEBlisFaoY36trbMPEWXHtL6ksNHVZA6hHoP7i2FjSFtAr7HlOn9d4X0DZ84OYOD9zoeyRD1xsk\nU2ekx97ADuFBY9y5tsKsq6FaFcKT4tWeGxfDbW5cGXTj0qOxc1CMuJ4RGXtHoHuDJKZ3DdZ5qu4o\nFXKiO6wGdXRW9EhszjS8Y3Py84Fu0Rv+bhNU+bvlvpW9wbsq/2hRqtXEAWEFUumkjBu3weHRJf97\nY4Omu41KRQFBiUg9G/fi4fr7+YwswkB3/QL1d1nAkWUxN1o8u1aD+CxEJkXYRBQbICk8IZZd95Cc\nPjMEjcHdG26foKlVIXwFps+qLvPGeF4UltGQdnCnCOr+e28+tGaQcepp4gPzCPnkB3Kqyzg6bgAl\n5xoVQ2ZWFOi1t8SLFL8oCcZDDwtIGjosVa9XSqUkzLwDM28LSIp8AL5t0PewUvaHJQdppc+nMAeJ\nU5A8DcmPIfUJpM8J2PFsA/dmcG0G1yZwjYBzGNr7Jbn7dlKtBIUZyF6D3Dhkr0D6ogC69AX5PJ57\nwLsTfPeBbxf494iHbSWka5C4AKGjAkBn3oHctIDP/keg/2EBVC2rKAKZnRMvlAGQ507LSUbDEzX8\nyOrz0AxKh8zTehNqdHSYtaOMQpzrAaRAHeCYFKNlns8KmGpplX3Zf089dw7ffG2plVC5KHLOMPpC\n4+IVD42L3IvNgLcTuoYFRPUMC8jqHhb51z0Evu7GM/bzWYuBvsBYTyww5DNJcPtFR/m7TH3l6zTv\n1V13Ng6QXCdqSNDUECUHSkXpwZSMmWMyquZRBYSilnlETlL41MkAf5ec4vAvYGOR+bvEPdhoG8ig\nSlmEQHTa5MikhNKiUzImQuAJikAwhELXkAJESnDcYiFRt1YMr9HsBZg9Xz9Gx8HXDwP3CvffA33b\nRQivh+fIIKNg5NRJVazQAEjN9UpmaL8UKlwLaZoca594x8xJKsSUgnxUlGXfvtUdO89HYOZNmH5D\nOHVFQkn9jwj3HJIk5ZVQYQ5i7ys+DomT4unx7wHfbgEb3h3gvVdCZOtFui7hOaPkgM0O2OuA3U3J\nFl0X71fqLKTOKACo2BGAwD4I7IfgQeh8QLxhK6FCVDx3s28LSI18CMFdMPAYDDwuz791FUnb5Zwk\nlRsAeuooeDco8PyQrJPVljuwPoPYVVU7ymIAGEBqcB8Mqcrma61ofqO/mwwpQ8di9EyfhWwMejZD\n7zbZ031q7N0K7uCaP8Oq14phRFqNxoXGZD4NwQExFjsHZTTmnQPC/p71qYt1K6halZQJwwGw0BFg\ndRoYurKtwwRRvs4FHJTRq/KIvYobuDbUf/+gqVqV+GZaJYIbYypmjgYwsoKjasV8icZL9XdaXrCR\n6W9ZCM4GPy0HKukuArFZAUVWNsBRbFqKOfp7zM08v8mHzOtg/+23IgzhOXcJQpcYe+0VRoMVnwJ6\n1gAAIABJREFUqXM0d0lOjPUtEJ5926B7883nHC2kallykAyANHUSpj6UitpGS4ybBUgg/ddmjpu5\nSJPvytH74YdNT9Jq81qKcQFHU68LZybFyzHwOPQ/JqG2lSQFazVIfQzhtyHyDkSOQCUpwCF4EAIH\nBEw4V9kUuJqFwjiUpqA4DeVZKM1BJQKVOFQSUE1DLQO1HNQKoFcQkKSeg16T0e4Aezs0ORn7yM7o\nA/3Q7ANHJ7R0gqMHWvugbQDahqFtCJpW4dXVNQkrxj8QkBh7H+InoGMQug5D18PCnu0rewbVguSK\nTSsQO/eeJNIPPgGDTwqIcqyiAnytAqFTCmAroK1rCmSrUG3v/Ws/4WYFUkbbnamTsjaMfTC4V/Kl\num7FSbqc7P/QBfEcW0dsAp56t6hxK/RsEV4GUN0S471UUAaoxficH5XsTUbEY2XI3mC/sHUe7BOD\ntdH1jZGHlYiaoMoAU1anw7wzIiY6ut0petYTqAdTPss9j8pVNka377aEDhsSNF1HxtH4dAIyKskr\nFTevjXk6fj1AKuTkYbr9lodvedCLvQxv8O4AQFYql6RJbHwW4qEF46wJklIRqbIb6FuwCfvNe50D\n4iG6U7HrSklO4YSvSkgtfEUA0dxlCF+WY83dmxcXhrcqiTQTNvuETZ+SvmGRCxAYgYH7Tet6cC+4\nbtJzlZ6RfKSJd2Wc+0iqTM8ruYel1chqqJQUJTw1Joo4eVFA0uATwl17VxYK06oQPwlzY8KRdyTn\nqOsR6HpI2LNtZYnfWhXyFyB7BnJnZZ6/JFzLQ/sGATCtAwJqHD3g6IKWADT7JZm7yQ1NTmhqB5vj\n+j2r1yRBXCsIuKpmoZoS0FWJQjkC5TkozUJpGooTUJyU39+xCTq2gXM7OO8F105o3yj97Vby3ZIf\nQ/QIRN6F8FtQzUPPY9D9OPQ+Id62lTynagnmjsm7m3oNwsclyX5gVN5d30OrK3dg1N8yQPjEO9ID\nsP+AnNIbUtyxivy0xf5GehYmT0qjZ8OgSM1Ic+eBPRbevfaq5st9hkxMASoLG7JE18RD1b1Z5Ej3\nJpODQ+sP7lZKtarI7nkj1mLUGvP4rIBFf6/I7WCfOfp7pbSCce3rblzP1WKkaQK0DABldWqkFnN+\nqPu5NDg99frdE1A50QHBAF51bZ17/OINW6G+b0zQlEnCHz9jAqRsClrbzS/rsXDdlw/Uz31BeYiN\nGgJbjiplSIYFDF3HIdlYxryQlc0R6DM3jHU0gJG/587HmLWaHEMOX4XIOEQsY/iKhNgCg9C1UQRY\nzyaLYNss9ZduFZWyMHsGZk7L6SJjrJbrhfzAHujdefNVkWsVAUXzp6PelXpJQ4fNU239B6F1lb3l\nKjkJ9Uy9BpOvSV2k3kOmou05KKfKliOtBokPIfSaAklvS5J07xOi/Hseg7YVHB2vFSDzIaSPQ/ok\nZE5C7jy0DQoYcd4LHdvBuRXaN4Oj+84ZLboGpRnIXxYglzsvoC57RoCWcyd47gfPfvAcANcuyU9b\njnITMPemCTgrSeh+DHqegN6nJFy5ku9cyUPoiPISjkl5h6594oUaelJCqc2rLBFSSEgYz1iH0+9J\nH8BByzrsuvfmc4eKGdlTM5ZmxTOnpWZU3y4pe9B3n4y9997aVjvZuJQKCV9WBtkVkw0Z1L0JukZE\nFnWNmPP1yne8GSoVTMM4NqPmixjMqagYyvNgqlf0gK9HRiv7uu4cWLxZqtUEOxigqs6BYnGqpOIm\ntjAcL9WqOFc8fulS8Wcv3vDPNCRoGnv1VUa7XSYocvsaOsa5YtI0eUHJsHh8kmFxxSbDJifmzLGQ\nlUXs6zEXeh0bG6BXnlOjgMNKSWoZRa9B5JqMVo5PgSsodY06R2Q0hNIqrbw1u9BLWQidFYAU+sTk\ndEiO+FuFd/8uaVVxs0JyvsL2MbMWT+hD6cM29JCqw/OQ9Ghb7d+qliSMM/UaTL4qJ93Wqkgzl2H2\nZeG518WT1POkAkqPySm25ag4BYm3IPmucO6sACPvAQEb7r0CllYTBgNplVKNCdeSUEuBlhVPklYC\nqiosp3KabC3igbI7we5i7N1LjD7xFDR3QlNg9aUQKinIfqQA4AeQOg7FcXDfD94Hwf8I+B4Wj9hy\nlJtSAOp1CL0qHrHep6DvGeh9BjpW6E2sA8ivSg2pvodg6KnVeRGtpNUg/LGAqIl3BFDl5gTAG4U3\n11LBfNG/pclJUquRMnMaopfAPyyeqd4dUuG+d4fsz1vdt7BSYuxnP2J0S5cy6MbrjbtCRhLQOzcI\nd42Y8+Aw+Psbx7tTq0E6Zhra8dkbGOJzkImD06sAVLfJ/u76a1+XjM67qB7UUlQumSCqmIcd+2/4\no40JmhohEXwlVCkLik9HBfykogKGUmqejJjXyYgsyA43eLuEDWRvLETjnrFgGwkIGaTVJKcoNikc\nnzLnsQnhbBz8AwJ+5oXKBgFInRvk/jrlFy25VnQdMnOSdzR3TkDS3DmYOysd3nu2i7fIEMa9OyC4\ncf0srVzUrPg8c1zAEjZT4QwekpBI2xo8Z7WyAknK2zB3TIpHDo7C0NOS97LSE1iVrHiSZl+AmZeg\nmoO+p5Xyfho6+pf/HcUpiL8G8dch8QZUMyaA8B4WoNS0gneulaB0CYoXoHQZylegPAHlKajMQDUh\nobPmIDT5oMkLdpfkLNlaFUiy5DTpFdBLoOWhlmXsyCSj+2sKdKUFPDkGoGUQWkfAsRHatkDrVmjd\nJHWelqNqRjxoyXcg8Q6kjkBrP/hHIfCEsGOZkK2uy0m90KsCVkOvQscA9H0a+p+F7kelVcxKqJiA\n6TEBUFNj0pqm/xFZG4NPQOf9a/MY5WNmpXijarxRwXzgoKzlvn1rW8+LUbUMkYtizMx+AiFl4EQv\ng3dAwFPvvTL2qHGtp08XoSVlSzEnsi4ybhqDkXElAydFRnq7BUAFh0XmLWTPHfSm3ogMgLXQiLca\n94k5U6eVC5J/Zegvb6eMvi45YGMdvZ2Sh3W3erIUNSRouiNULspiSccUEIotch0156moVJf1dsqi\n8HbWL5iFC8i4bhTrYzGqlCRsFp+W/mjxaQFFVk6GpF6KsfEDFiHQuUGsL2/P7TkCbFA5D+GLkmM0\nd176sIUvyGhrUoLVEK6KgyPr+xkLCekpZgVJhTj07xfrfOCAKBfv0NoEZa0i3iMjr2X2XfBtNXOS\n+h9d+QkrXYPERzD7Isy+BNH35LRX37PQ/yk54bbcZ6wkBSDFXxGwVI4IOPA/AYFR8Sot9zvK05D/\nAPInofARFD6G8jVwbIC2bdC6BVo3yrVjCFr6oblrZTlFK3oOFaiEoTIN5Un526UrJmirzMpnaN8F\nHXugYy907BfAtuTvrUHmFMTH5Nkk34L2TRB4GoJPg//R5T1sWk0SymdfgpkXJNm++zEBUX2fUnlj\nK1xH+bBK+h8TkJ0Pycm8wSckXNu5a23FR3UdYhdVC5jjsubnToFnUNZ8/wFZ9z17Vh9eXopqFYhc\nFuPHahCFz0mF+e5tUgDWOnZulpIFt4tqVZGl0QkTSM2Pal7MKuNyUEKBgUG5DgyYo6+vsXVGuWQC\nKKuDwDrO69CohMg63KIL3UFTb3qCokc9Qcu1he90SomF/vsDTeWivJiMhY3rdMxyL2aOaVWS3ROU\nF7nYi7OCI+Oey9d4lsJiVK1IjD45K5yYqeekAkr5lMTqrRs3OGRu6OCgbOLbKXwMKuUgdgUil8T6\nnB8vQi4GwU2mgOxRY9e21bcXWQll56Rx7cwJGUMnIReB3j1KUSiFEVhlg1wrVYviSTJOUIWOStuR\ngccl5DbwGLStwqouRsWDMfNrUcQtXuj/tHiTekalUe1SpGsSjoq+ALEXIPMR+A5D4BkIPinhtqUU\nr1YWgJR9B3LvQu4Y6GUBIR17oX2PgJPWrXLarRFIy0PxPBROQ/4U5E8INwfB+SC4DoPrUfncSwE5\nrQKp9yD+KsRekXwu74PQ+Wno/MzKAGYpDqFXxBM4+6J4wPqflXfY+9Ty789KuZDyRL0ma6sQEU+U\nUeJgLeE8g2pViHxSbzxEPpFCqn17VZNn1eh5NXXDVkK6LuH1eaNJGU5z56VOmqcPurdC5xY5xWfM\ngxvvkEzLKyPVYpTGpkyDNTkDqbAYqf4BCfkF1OjvlxIq/j6RyZ41VrK/3WSkqGSU3k1GFnFUROvv\nZeISmTD0rjtgjm4j2dty7fab81sAthoSNI298jKj+3fLw80m5Ph7JiEPL5sw7xv3MnFzPg9+Ajd+\nqJ4guPz1oGgV2fMNQboulkpqTrw/qZACRQvGxAzk4gIefH1qk/WbG8/fL/cDA+IuvlPhQF2XE2qx\nqwKOopfFmoxeltyGQlJOqnUpgde5Bbq3MnY+xujnvnprBEatCrHzclw7dEqs6NApKYDYu1e8SIYS\nCGy5uWdXzggwmnlLgFL4uDSD7X9MlFn/I6sDSbomx96nfwUzv5LaQj2jStE+K5Wul6NqBqIvQvSX\nEP0VtASh8zcg+GnlLVkiCV6vQu44ZF6FzOsCklq3gOsRcD0koMMxsvye0zWozUB1HKoTUJ2W61oE\ntBhoSdDSoOdBL8jfRZUawK5O1LWBzQV2D2NHNUYf3QZNPdDUC02D0DwELZvAvoJwia5B6QJkjwj4\ny7wF1ZCAJ/cT4H5agaglfk81LV666K+FsQl46vqceOuWC2PqurzPmRcEBEePQvAA9P8GDHxGCm+u\nRpblQiY4n35DGhX3HlblJx6WQwPNN3HgoVaB6Ll6Q2PulJTN6N0j5Q6M0bfx1sigWkXypsIXTWMr\nclHkS2JCcrM6N1t4E2MXE4x+9qtysu9O6YZaVWR8naE7bTF4lYzPpwQ4+RSI8vWCt1fkvbdX7nl7\n5H5rgxVJXo50XQpBW6M/2YTF8RE37y10lLS0Cohy+RcAKnXP5bf8u2Xu8t3Qw9d4oOmd5xn7X7/E\n6Iag+aVcvvovVjcqUOQOyPXdBn6spOvSyiAVlo2SDgsYSs0twiH5P95eczP4+syNMj/vl9h6I1gh\n+STEx6XHVeyqml81uaVNPEadm8T669wsIKlzs+QwLCJM1yX/TdchMyOJr3OnzTF6Tk4QzQt1Jdg9\n61C0LzOlKkK/LWPygiRu9z1sKivHKvsC5mfFizT7oniV2rqg/zOiTLsfXdlpueIUhH8GkecheQR8\nD0HXZ6HzOehYBmiVrkH6BUi/DJnXoGUAPE+D+0kBFc1LlIPQdQFG5Q+h/BFUzkD5LFQvg90LzRuh\neRiaBqC5TwBOUxDsfrB7wNahwJGDujYqelmBqRxoacbG3mT04X6ozUFtFqpTCoxdAb0ILduh5R5w\n3AeO3eDYC83L5HRVwpAZk++ceQVqWfnenk8JtyyRLK3rkPsEIr+EyM8lyTzwJHR9QZ77crlQIDlo\nodcFHE//SsKDfZ9SXqinV19AtBA1wfvM2xD/RFq99D0s4L3vYei4SQ+upknDaMMQCZ2SQxHFBHTt\nhJ5d0H2fGneBcx0L0C6kWlWAU1QZaZFLELvK2HsfMeoNy14PKpkUGJHQfmBEroMj6xt6XCtVywpc\nqWhCKqQM55AZYTD0RrPD1BvengVzxZ5uGdtWUZm+0UjX5TCV1amSiZtOmIUOmKx1noS/OAGbdl/3\naxsPNGmq2ebdCnwWUikvjV/TYRkzEQFFGXUvFVb/pripxVy0nm5lMVgXc495r62BGi1qmiRdJyaE\n49cEHCWuyTx+Taz0ecFjEUCGQGq/haUEQCmoMITPCEc+gcgZAUm2JlNA9yju2rk+ArFWhshJ8SSF\njkr150rWVED9jwhgWu0x8VpJikrOvggzL0J+UkI1/c9K2M05vPzv0HXJv4n8TLhwVQBS1+clfNS8\nBHDTq5B9F1K/EK5GwfNpAQrup8CxBNjQMlA8AqV3oXQUSu+DrR0c9yuwch+03AstWyXR+3ZQLQmV\n81A5C+WPBbyVT0hyeeshaH0Q2h4Gx0GwL+ENKl0R4Jh+STxtrVvA+xx4Pwcd+5YOY5Zj4tkLPy/5\nYu77xQPV9Xlwblv+O+i6tHsxwHP4TakHZSSUBw+uPvRWyUnfvNm3pe1L6Ch09MgJvd4HhYM716fl\nTSFhGi1zpyGsxpYO6N4pe7Jrh5rvWHt7mJWSrkM+Id5vw9gzDD7DAHR0QGAD+DfIaLB/WNjV2Thy\n2jDMjejEfKTCYpCnw+bcbjd1kadbvFnXzbuE3V3rX0D4TpGBSxZ5b40HmhqZalU5GZaNQSYqnI6Y\n80xkwb2IChd2y4IyFpe3R113ixfI3SWjp7sxXae6Dvk4JCYhOSVjYhKSljE5Be0+ERK+IWWNLRAk\nt8vNrdUgNQGRs+Itmh8/kX83BG7XTujeIRatq2d9/rauQ3oc5t43QVL0lPRt6z1kKhn/CqtDL/zd\nqTMw+4rkt8wrRJXbslKFqFUg8SaEfyoeJVsLdH9BFLPv4aVrDml5SL0IyZ9C6pfQugG8nxVQ0HHg\nxoBAK0DpbSi8BsXXBZQ49gkIaX0QWh8QD9Kyj6AK+izoIXQtDHoM9CSQQ9fzQAWoAjagCWjFZmsH\nmxtsPrAFsdm6wdYHtm5syyWV6zpUr0HpPSgdgeLbAqpaD0LbE9D+pAAq2w2emV4xgWXy5wIWvZ8H\n/5fAPXrj/wdS2yr+mgK0P4dmr3igun8TvA+sLHm7Dli/APkpAda9T8sJSffm5X/HQtJqEPvYXN+h\no5Cdhp4D5vruOQjOVRZgvRHpOqQmlYGjDJ3IJ8ItTqkf1XmPFIDtUqNn4PbIGl2HbEQZhuOmgRi/\nJnIxPiF1tXxD4B8yx4XzNk/jACuDdF1ySVNz9YZ+2mLwZyL1TgFHm+gzd6cCUp3mtcHGfVcQnA14\nQnwZakjQdFtKDpSLAn6yMQsQUmDIuJ+J1t8rpKUD98JFsHAxGADJ3dlY3qDFqFaV5MnUNCSnF4xT\nJje3qY0+aI7zm35Yrm+20ONqKR9n7Bc/YHSbE6IXpPt77DzEL0FHpxKkC4Spq2d930cuJAAp/L6M\nc8clDNatFEjfYZmvpu1F3XecNkHS7CuSW9L7jCi83qdWHnqp5iD2IoT/WUJBHVtE+XZ/AZw7ln4m\ntawApMSPxYPiPAi+3wTfF+RU22Kk61C5AIVfQv4FARyO3QIy2p4UoGRffL3ouq5A0WmonUHXzoF2\nAV27IoDJ1gm2fmy2LrAHAR/Y3AKOcCBgCQQ8lQVM6RnQk4y9cYHHHzWAVwpsg9jsm8C+FVvTDrDv\nxNa0G5ttieeqZaD4loC/wmtQuQTto9D+G9DxnORI3YiKFwRwJv9Z5r7Pge8r4HlGmhffiIxE/PDz\nAnYrMXl33V+S04orTZ7Pz6iSBtb1pABUz5PQtsYwWDEu3qjQEWkBE35fct56DprcfUDymNaLDDAV\nPVdvHEXPQTkr9c46t9ePwW3QurKw97rpoVJOGZrXFjc6E5Oy/3yDFh6QlARvvzl3N0iaxY1I1yW3\nat5xsNCJEF3gYIhJsVOnXwCUW52ocyl2B01w5QpKQrxxfzV9NdeZ7m7QZCRDZ+OQSyiOKxAUV/OE\nAB7r/aw6LWe8AGeg/mUZ9+dfpGKnr7EXrZVqVQmXpWchNWsZZ6SVgcG5mOQLWDenb+D6DXwn4va6\nLsf245cFCMUuQvyiOdcqjEX7GH3owCKCcZ0/r65DbgbCH0D4hBz/D59QrTEMpaBG1wrqGt2IihGY\ne0MVPXxNmt/2PqkU2zPg3rTy31Wak1BP5OfisfA8YAKltsGl/69WgNSvIf59CTO5HgL/V8H3ealt\ntBjpmoCj/E8h91PJJer4jICJ9iclN2mx/6an0WtHoHYUvXYMvXYCqGKz71Ig5l6wb8Nm3wy2IWxL\neWeWIats0fUiaBPo2mUFyj5B1z6G2mmw+bA1HcDW9AC2psPQdBCb7QZe4FoECi9D/ldQeEFAU8cX\noOOLAhRvBEjLU5D8JwGjhTMCQv3fAM+TS3ugAHIXBQCHfwr58xB8VsJ4nb8hJyNXQroOqU9MABV+\nE9xbBDz1jEoenGONIXNdh/RVZUgojpyA9m7o3ifh6O590uOw/RbkKxWSYkBFz4sxZYzxi1JbKrBV\nDm8EtwoHtoB/c12NqdtWL1DXoZiuN1ITUyKrk9NKVk9LmNDdDZ5+kddW9vSBt09GV9fd470xojcG\nmJp3WMQWnxs6vKVVQJQzYAFUxrV17pfR6Zd7jvabNpobCzQZXaznAVCyHgzNzy3c7DAfitNvgqD5\nB+c3H6oBjpx+6V/WyB6gxcjYXJk58Q6lQzJPzUImVD/mYhJL9/SZG2p+c1k2m7t7ZY1ZbxXVqpCe\nhMRVSQxNXBGQlFBASdchsFmEWsAi4IJbwXmLisNpVamqHD0lHeeNEV2EvCHwu/aBZ+TmPkMpZgFJ\nr0NuErofEaXVMwr+vSsH6roOuXMSzgk/LwnGwU9J2K3rM9KzbcnvXRSglPgRpH8t5QD835BQ0o1q\nE+ma5CVlfwD5fxLPj/NLAhocexd9NrpeQK+9iV59Bb36GmjnoWk/tqaHFEg5IB6gZZ6rTh6NGBoJ\ndLLoFNBRVcFVeM5GGzY6sOHGjh87QWwsnTum6xroV9BrxwXEVd8F7Qw07cXW9AT25meg6cHFwZte\nFeCYe16eB3ZwfhWcX5N8rRsCqGkBT/HvS1FP/xfB/zU5kbdcgc3iNER+IeA48SZ4D0H35+W9t29Y\n+v9aqVaG2DEIjUF4TOp3ee+VNi89o7IuV1PaYCFpNel5aBgc4Q8k18/hga77pZ+eMXo3ra121LKf\nQZNDH/GLELukxotK3lwGh1PAU2CzGjfJiT7/JjkUcifBSLWsogIz13PaMIxnREe4u+VEoMfgPhnd\nPZZ7vY2RxL5a0nWpyL7QQZKJmVghE1twT93XdRMXLMUdPhmHdgnwslBjgaZ3vw+v/PniH/5GX/RO\n1NdYT9Jq6uWHIT0nYyYsYGieLddNLbLwjQ3h7lEWhmVjeHrB1d0YlVc1DbKzkBwXToxD8qqaX4X0\nlITM/BbhFLAIrY5b2Mlb1yE/B7HTkqMROw3RjyB+FlwD9UK88365d7OfJTcpzVsjb8uYm4Cuh6Hn\ncVFOgX2rS6jVa5A8KrlJ4Z9KHoyhMAOjS4d8QHJu0q9A/AeQ+pnUTPJ/HXxfgpYlTkiVTkHuHyD7\nfbD7wPl1AQeO7Yv/GW0KvfpzxW9B0x7szc9ga3pKeXEW/5w1IlT5hCrnqHGJKuNoTFJjBp0Sdjqx\n48WGBxvt2HAAxvOrolNGJ4dOBo0EGjFsuGiijyaGaWIjzWyjme00swM7i5/w0/Uceu1d9Oqr6NWX\nQLuKrflpbM2fFbYvAip1HconIfdjyP1AKpY7/wW4fgtalsglKl2D5D9C/IdScNP/ZfB/E1wPLw8k\nqlmIvSzrIfJL8Sh2fV68i+7FQewNqVYU4GQA+tj74LlHwFP3o9Kkuf0mcwF1DVJXxDCxGinFOAR3\nyam94C4pwBm8b3VlN1b9WXSpwRa/JCAqdklklWHQFRPg3QD+jdL6yDdSP79VRtxqyQBX6ZAY0cY8\nPSs6xnrPZlP6RLGnp/7a3S26xNMjOauN8P1uhsqFBZGpxdjirPna/wk7Rut+RWOBJkV3TRuVxUjT\nJGk6G6nnTHiReVgAU5tHFqWrWxaqq2vxxevuEQ9ZI1GlIMAnNSGcvCacUmN6SorY+SzCxTcC/hEB\nSN7h1Z8as9CK10ohKkenDY59DNHTgCZC2SqYg7vXnoNkJa0qiduRI5KMG3kLqgVT6XQ/Cv49K2v2\naqVyTApMRn4peUptQxbFuG9ltYZy70L8v4l3o3ULBL4p4beWJZJ3a3OQ/XvIfk9OmrkUAHDcd4M/\ncw298iO06k9Au4it+TPYmj+HrflT2GzXgxOdAhU+oMwxKhynwofo5GlmJ83cQzNbaGKjAjsD2PBi\nY3VC/PWx13h8dA81pqgxQY2rVLlIlXNUOYudAM3sxcFBWniQFvZg4/r3o2tz6NVfKxD4ioTyWr6C\nrfnL2OyLNDDWdSgdU0Dzh3Iq0PU74Pr6DcOWgJzEi/9APFC1FAS+AYF/IcVAl3vPWlVauoSfF+9j\nLSv1oDqfk8rkS52MXIxqRYgdl7Ucfgui70Jrl1rLj0DnYVWpfB28McWEgCfDoImq0eFW+3Wn1DEz\neKXV8FdB18mWcl4Zf1eV8Wflq1DOiTzzbRBw5VPsHQbPkJQquYO5ONeRrksPTsMgT88tYqwrgz0b\nlu/v6jLZ3V1/vfB+m/fuCROugv4HaFqKjHBYNirhrpwas1E1j5rzbETm+QS0uRdfTPMLqtuy4Drv\nbHhsKaoUxZWdnlLAaFLNJ02gVEqLMDAEgyE0DMHhHb6lzTXr1oquSZ+t+DlInIXEOfEaxc/KKaKF\ngja4S074rJf1VIxKocHoEQFK8ePQPgCdD4pS6Xpkde0vDDLKAkR/JTlK2Y+lXUnXc6IE2wZW9jsK\nH0roLf59OcYf+C1Rwq1L1F/SilD4OWS+J6ffOn5TlH3bY4sqR12PC1Cq/B1o57E1fxFby9ewNY1e\nF87S0anyESVeoczrVDhJM/fQwiEcPEAze2lieElgpFOlRhKNNBp5dEroSMNeG03YaMWOiyY82PHy\nxtibN5QtOho1LlPhBBXep8y71JikhQdp5Qla+RTNbFnkOxfQqy+iV36EXv0VtqZD2Fp+G1vLl7DZ\nFjFy9IrkPmX+FoqvSM6X63eg/ZmlK4sXTsu7i/83aUAc+IZ4BdtWUIoAJA8q+ksB26mjEsbrek7V\n4Nq6+nWp1cQoCL8FkXdkzVdSst47H4SuhyD4wNrzohaSrkNmQoBU/BOInZExcRYcPtnf/ntMDtwr\npRHWuL9XrYdKWWU8XrMYjxMiL1MTIkvbgyITvQpEeYYs80Fw9zWwPiiZxr5h/FudAfN6UHEpB86g\n6DhD/zk75Xp+DMrc+DlH46fNNCRouiVUKYkHKB9XAEjxwuuF7Gg3X6ozqF58sP6lWxc078aHAAAg\nAElEQVSE8y5oSKjrUg8lMw3paQWMps1rAySVUhLHdw+oja02t7HJvcPikr7d1kQpJcUgE+fVeEHG\n5AUR0P57ldA0hOcOcPav72as5qTidvR9CVvE3oNSVJRE12GxujsPrb6w4Px3DEP8ZYi+JKO9w1Rw\ngceXD7sZVPhYwjyJHwioDHxNFO1Sngpdl/pEmb+G3A/BsQdc/1JylezXeyd0vYZeewW9/B306kvY\nmj+NreVbyqNUb1nrVCnzDkV+RolfY6OdVp7GwZM4eAg71/9+jQIlzlPiAmUuU2acClNUCVEjRRNu\n7Hiw04GNVmwqPKdTQaeERo4aaTRyNOGnhX5aGMTBCA620Mo2WtmqQnsL/3acMm9R4lVKvIyNDtp4\njlY+Twv7rwN0up4T71Pl79Cr72Jr+RL2lm9D0+HFc7RqMQndZf4WatPg+ha4fu+GYc7595N7V73X\nH0vxzMDX5b0uBYCtVM1IW5eIqvZub5X8t+CnpbjmSpPJF1IhJOApekQMiPgJqRcWPCh7I3hQvKsr\nbT68EtI1SF9TAOqcyfGz4m3zb5eSH/5t4Nuuxq0rb2i9XqTVIDNrMTonlSGqxsy01JHr6BSZ6xmU\n0gnuAUn+dg+IPPYMSDJ7g4MLqmXlZFAOhWzE4nyILrin7ms1U9daucOYB9R1wPJv/tsKNO8u0KRp\n4vnJJ0Tp5xMKCKkkr4IajXtWkFSrqAcdsLyA4CLXC7iR3KnLkaZBISYbMxuSXKKMwTPCWTVvblOb\ncaB+M3rUZnUP3BlAZFAxAanLkLokyaNJNaYuyYk1nxJ8hkD0bZP5LXDTU8lC4pQogPgJiH8Amcvg\nu08pg4PS8Nazfe2hiVoRku9C7CXhwhVpqRF4RopMdqyink7xvFKoP4RaxlSoHfuXKS0QV+G378ix\netfvigekZfFkYl0LoVf+Cq38V2DrxO74V9havnFd6E1Hp8JxivyIIv+MnUHa+AJtfJZmtl73eyvM\nkOcIeY5T5CRlxnGwmVa208pmWhihhSFa6KWJIDZWliivU6FKlCozlJmiwjglLlLiHBWmaGUbbeyl\ngwfo4BDNdC74/zpVTlHkFxR5Hp0i7XyZNr5OC/fe4Pl8D63yHaAZe8sfYnP8zqKhSQDKZyD7t5D9\nO2jeDO5vSwK5fQnlrtcg+5a87+RPwLFRve+vgWOZE5Lzv0OH7Bm19l6UdejebYIoz4G1F67UKpA8\nI0ZFTBkY6QtSXyywX3L4AvvAv2v59jFroULUNKzmjazzIlvaAuDdInLEp0bvZuHVVuNfL6pVITdn\nGq7pGQFTCw1bvaYMWgu7+sRT5e4z5213WR5SubDAqbHQkRFX9+Km0yOfEOdGR0Cx36LrLdd1o5q3\nrr4kUOOAponjcO4VKCQY++ATRkfaFfCxAKRCSqqv3ugBGNfWh2WAn7vA7bco6TqUMgKCcnMKDM0p\nVsAoG1L/HpbNbt008xvJusH6oOU211RaSFoVMpOQvgKpq2q8bLJWkxM0vq3XC7aO3vl3ue6h3MKc\nAKTEhyZQyl0TgOTfC0El6H27V9aW5EakVSD9vpQCiL8uDV1dO01F5X1gdblOxXOQ+Akk/hEqIclP\nCnxDerwtBeR0HYpjkPlLKPwK2j8L7t+HttEbhN809Npr6OW/QK++iq3la9gdf4Stad91P1sjQpHv\nk+fvAI12vk4bX6WZem+IToU8x8jyCjnepEaSDg7TzgHa2Ucr92C/wYk3HZ0aWaokqZFHo2gJzzVj\np5UmXDTjoQknb4y9seh60ShQ5GMKfECe9ynwHi0M4WIUF0/Rxl5s2Ov+bpUzFPkxBX6MnR46+BZt\nfAU79eEoXdeh9iZa+S/Qqy9ga/kidsefYGs6eIN3UpHyBdnvSDFN59fA/QfQun/xn5//f1Vp5RL/\nodSCat8Bvi/L6UfHCqrDG1QrQPJt8XLGXoLiOPgeUSD+CalSvlxR0KWomof4SYsRcgIyF8C9TQGo\nPeC/X8bWdW7qa5BWg9z09QZZ8pLIohYXY1OdjD60T0CUZ6OwdyM4B+586ZlSxjSGs7MKUM2a+sCY\nV4vg6r2enT1yAMfVa46OBsuXXSkZaTQGoMpbHCrXOVEWjNWyHDZr95tYot2nRnUQ7f6vSGsvRY0D\nms6/CudegnYfY+cjjD70gOWDW75Mo4e+VkK1KuSjAnLmOaJGBYjmx7Bs0PmFrha5s0eBIrUJ3H3i\nGbqJpOp1Ja0qVYIz16RCdnrcMr8q/+bsVYJokxo3m9y2slNzawZNtaI0PU1+DMnTCiidAq2shLbi\nwH45dr3aZO2FpJUhfRwSbwlISr4r3qPAk8L+R6F5Fbkf8zlK/yQehlpaTrz5vyR93pZTatVpSejO\nfFdOdbn/AFy/DU2LhxN1PYle/hu0yp8BbaL0W34Lm20BQECnwjHy/CUlXqGNz9LOt2jhUF0oS6dG\nnndI83MyvIyDDbh4GhdP0MqOOoACUCFOjvPkuUiBqxSZpMQMFaLYaZ0HRXba5j1PGhU0SgpUpdGp\n8dGYnYdHd9HGEO1sooOtOLmH5gVhQZ0KBU6R43UyvIxGEhe/gYfP086+675LmdfJ8z3KvEEbX6SD\nP6CFndc/R20OvfI3aOX/ArYAdsf/hK3lm6ow5w3eU+a7kP0rKefg/n1wfvOG72metDJkXlbr43kJ\n2/m/LGtkpTlQBpUjEH8DEq/L2i3Ngv9xAVD+R8G1++ZbqNSKkDgtACqp9mLyNLT4zL3o2yXGi2fb\nze/HpUjXITfL2As/YXSnRxlyV0Vupa/IyT7XkJJbI+AekdEzAu4NItduRbmEtVA5bzG2Q5YoxNwC\nIzwkn9nQLcbo7BZ2dZtzZze0B+48cFwPqpYXcc4k68cHfw/6zL3cOKDpbqZqSUBQPirgJx9RIMgy\nz0dMcFRKSUKgs6t+YTq71AK1LtzuxrQASmnITkhiZmZSjdcUT0BuVgrZWYWJMXo3yngznpqVUq0s\nVmzqE0h+AqmPBSjlroFrsymIDcHcsQ7NeEFyRpJHIPmWAKX0cejYJkrGPyp5ScvVTVpIehWyRyD1\nvChDbOo4+peh4+DyglovQf7nkqtUOgrOr4Dr91UbkMW/s147i1b+U/TK97E1P4vd8a+h6aHr8nN0\nihT4CXn+KzpZOvhXtPPN647wl7lKkh+S5p9ophcPn8fNc7RQf2qvyDQpjpLhBBk+pEoGJ/fQwVba\n2UgbQ7TSj4PuG3qhFlKNAmXmKDFNkUkKXCHPRXKcx0EPbvbg4SBeHsBBfbmFEpfJ8EvSPI9ODS9f\nwctXaaFnwd8IUeB75PkuzWymgz+ilc9cF0LUdQ29+gJ65T+j197D1vJt7I7/GZv9RhXWNSmgmf2u\nJJG3Pyu5T+1PLw+Q9Spk3hBwnfypNDr2f0nauXSs4LTlQirNQnwMEmOytkvT4H1Q1rbvUfGSNq2D\nJ1vXIHvVNGgMAyc/Ce6tau/ulFCfdwe4Nq1P/7vlqFqQHKr0VWUMjpuGYXocSklwDYJnA7iHRda5\nhwVouYfBPXT786mWI12XKupWgz07Z9Fbio17xZQ4NAzd1dEl+quj05w7u2Te0SkpMI2a4L5K+h+g\naSFVS+LiK8QUEIotuF6Eq0W1MDoXLJoFi2kepfsbF6XrOpTTcgotO63GKchOypiZlLleA5cSAIZA\n8GxQAmKDCI3buUnKaUifh/Q54dQ5AUrZq+AaEW+RVwlY3y7JP1ov0KbrkL8oICl1RMb8JfDsVyDp\nUfAeXltybS0lvd5Sv4DUryRPxfd5Cbu0L1Ft2kqlU6Jss/8Ajl2ibJ1fluTyRb+Ojl57Cb30H9C1\nD7G1/BF2xx9js19fjkAjSo6/pMBf08wenPwhDp5eEMqqkOFlkvwDJc7h5ct4+RqtlpNoOhpZThPn\nVRK8SY0sXg7h4QBu7qeNDdeFxyqkKTBHiRhlUlTJUqOEropb2mmhiVaaceHASxudtNFDC/XlJHSq\n5LlMhg9J8x4pjtNKP34eJ8CTdLB13rOko1PkFCl+SJpf0sGD+PltOnh0gfepQpGfkee/oBGigz+m\nnW8tmuiua5fQyv8Jvfw9bM1PY3f8b9iaH7zx+6wlIPd9yHwHamFw/66805YVVIvXNcgdlUrkyZ+B\nlpNGwr7PgfvJG7a2WZLKUUi+IwAq8Zac7nTdB74HZd37DkPb8PqlR1QLygg6LaPBhVkBU94dst89\n26WulGcbNN/Gnp7VgjIkr1mMSWVYZidl3tIhMtM1KDLUNWheuwYkBLgeZU9uFRnREqszYKGTYN6J\nEJXODg6XRUcGzXl70HIdrL/XgECrIUHTuuSpVMuSTFyI13M+LgCoELeAIXVdiAloWvji5ufqqKT1\nZTu77o6TDKAAYUjageRmBBTlpiE7o0Z1jV02rmvAspHV5nYOCEhqvQMJhlpFQFD6gnDmAmNvHWV0\nYxgqacmJ8N6jBOV2sULdW9f3pA7Iybb0+5B6X41HocklysGrFIXn/pWfcLOSrkPpPKRegNTPIfee\nhNu8z0lj3NYVVniuReXkW+avpc2H+3eWVay6XkSv/D1a+T8Azdgd/1Yldl+foFtlnBx/SpGf0MZv\n4uRPaKb+xFeNFEm+T4K/pYVB/Pw2Lp6t8wwVGCfCz4jya5roIMDT+HkcJ/fMgyQdjRwTJDhDmvNk\nuEKWa4BOO720EsSBl2ZcNNGGXZ2e0yhTo0iFLGVSlIhydOwM+0YHcLIBD5vxcg8+dtBOvwUYVcnw\nEQleJ8YrNNFOJ8/RyWdptXiWNHKkeZ4E30Ongp/fw8tXsFP/vMocJ89/osSbdPC7dPDHNHF9LSdd\nT6OXv4tW/o9g78Hu+HdSsmEpT1IdIL5PPIfOL0pJiZVQ8bw0Ek79HPInpYmw93PgffbGfQWXo1oe\nUsfFgEgdFSPCZpe94TkI3oOSXN5yg4T4tVI1L4ZT8ky9AZW5BG09CkRtEznhUdwxfEMD9paVvtF1\nSVC/zhg1rpUctjtMAOUakBPA1rGjT0oqNCCwuI40DYpJBaAsDohcdMG9mHldiAu4NPTw/Bion8/f\nU9x2a9udNTZo0jQJZRUSCgCpMR83rwtxCziygKRqQZpDWh9qm998+O0qWbzuBQSlmePdAICsVM4q\nMDQrbMzn783IWE7JJrNuPueA9Epz9gswcqrjrHeKakUBRpnLIuysnJ+S8Jkh8NzbGPs4z+izX4eO\ngVuTR1COQuYkpE+aQKmaFKHvPaiUwIPQdhP95mopSL8K6ReF9ZooLe/nwP0UNK3Qla8VJPyW+3so\nvgntn5ETcO1PLRnC0bUZSVKu/FdsTfuwOf4dtqYnFz0iX+UcWf5fSrxCB79HB390HQCoMEeCvyLJ\nj3HxBAG+TRtmAUyNCnFeZY4fUWRCAZLncGLm2pRJEeEIEY4R4yTNOPGzEw/b8bAFFyO04FlDccvX\nOTy6myzjZLhEirMkOANAJwfo4hCdPEAz4pkQD9hHRPgFcV7BxR56+Co+HrKAOp08R4nzVxQ5hZ/f\nxc+3aKLes1hlnDz/iQL/SDtfxcm/oYnrgYmu19Crz6OV/x/QZrA7/jU2x+9jsy2RFD0fev0bqafV\n/pzkqLU/s3wblvkPGIf0C5D8heRDNXeB59Pg+RS4H7+hZ3JZ0nUojAuAMvZQ5iS0DpgAyr1XEszX\nWupgKdJqkKs3tmS8KAc/XCPSc8+9RYws9xZwb2bs/XFGn3x6/T/PSkjXoZQwvf2GoWsYu9lpyM8K\n+Gr1K/ndL0DK2atG67xXmjPfTaRpkgZSsER75p0dFqfHvN5X94sp0eOGzp8HVH517b/+2hhX4ABp\nDNA0fRze+veCRIsJGQsJKGfEpdfmF/RofNmFX9SKMo1rh/vurkZayUE+LG0+8nOyuXMh8zo/q65D\ngC4nypx95gZx9ql7/Wrz9EtjzDudoKhrUsslexVy4yZAyl6B7GUpEOkclvwEjxJgLiXQXCPr7zWa\n/1w6FK9JEcnMhwKSMicFILnvF6FugKSOLTf3HLUy5I7JSaf0y1A4Ba6HlIJ6FtruXTlw12ty+i37\n99Io17Ffav3coKZS3X+tHkMr/0d1ouubopybrj86D1DhDDn+b8q8Qwd/Qgffxr4AFFQIEePPSfNT\nvHyRAH9ICyaYrJIlzD8S4vu0MkQvX8fPKHZVcbtKnhBjzPIqKc4TZB9dPEiQA7RbgJlGjQwzpJki\nS4g8MYokKZOlShGNKjZs2GmmiVZacdOGHyeduOjFwxAuehaAnimiHCfCERKcIche+nmaLh6iSdVv\nqlEgxouE+CEaRfr4bbr4bJ3nrMRFYvw5OV7Hx7cI8O3rwFONOfL8GXm+RxtfwMm/pZkblHWoHkOr\n/Cl65ZfYWr6B3fFvbviOzD8QgdyPZE1UroDrG6py+8FVrCsN8idMIJ8/KScxPU9LGK9j78rB2GKk\nVSF3VkBU+gNIn4DsaWjtk6r2HgWi3HvA0XvrDNlqQeRO5rKAqMwlNV6Bwgy094N7s8gj1yZwbTS5\ntfPOG9hazdQH2RmLXlAG9Pw8JGVmDL3Q0WMZF3B7t/zs3UpaTYDTdZGmRL0DpmBxvhjYo5KXsjUG\n3mjzCT/976XfKY0CmlJTMHXU8iGN0du4uT+rJa0qVkEhDIWIAKKF8/ycms/Jz88v4h5lMVivDSui\nF1pWX2vilpFWg2JIEq2z1wQY5a5Bdtyct3jAOWIRQJuUYNosnqRb/c6rach+IkI685EApexH4tFx\n7ZbQmiG429ehcahehfwHkHkd0q9B7gi0bRfl434K3I+tLpdE1ySRO/djUY5N3QoofQOal/Z46XoZ\nvfoTCQFpYYsXY/FQSYVPyPJ/UeEITv4X2vl97NR7vqrEiPFnpPgJPr5KgD+k2ZJIXSXDLP/AHD/E\ny2H6+Zc4uWf+39NcYoKfEuINAuyhn2fo4hBNKsxVpUSEM8zxMVHOkuAq7QTwMoiLXjroog0fDtw0\n06rCc1Lfu0qBEhmKJMn9f+y9d3ycV5X//36mjyTb6sWyLNlyr3ESpyd2OpBOCBDKi7YEfguEBfa7\nlCWEsMDSd2kLYQnJbpZASEKAhABxEstxHMexHfduS7J6HdWpT7m/P+6dmWdGI1nVkoHzep3Xuc8z\n7Znnuffczzn33HPoZJAW+mgixiD5VFPECkpYQyFLE8t6OoO08wotPM8AtZRzA/O5jSxk5nWBoJ/d\ntPIIQY4zl/dRwp0py3IxGujmRwyyiTw+RD4fGHLfLLoJ8l+E+AU+biOHT+Mkc2oAYbUqb+CDaI61\naJ570VxvRjtT39RPwOBjEkChyfQF2XeBZ5TxcHEy+xXIf0n2Y71RLhvPukYWFfavmYRxYkLwmARQ\n/bvVuNwHOGXeqFlrJeesguzlkxNsPhKZMQg1JI26gVrpsRqsl8aeFVV6rMomK1W7UpaYmSl6WQgZ\noB5qSwKphAFu43CHnINcPgmeskogq1i1lfQXg79IHRfJnc5/LfO0aSgAlebAWXitXI1ipoCmNJox\nZVSGIyGkJyjSJUFPuEty4jh+rjPJ+oDMDm3vbHFUHz+Od1J/sfSUzZQBZ6dYv1QkwUa5iyXYKI8H\nT0sZagZPnlQediUSP86pAtfk7RwZsa8YgxA8Ki3awUMSJA0elEtuOcul8s2JK+M14BmhQO1YyArJ\nWKTBrTCwVQbeehfIyWXW1ZBzFbjGmH9GmBB9FYJPQvApVST3LjUBrjjzx61OhP4zrNh/oTmWonk+\nKQvNDrNsZ3CcQb5FjC0KLH0ow6QfIsBD9PALZnELhXwcl80jZBKmjcdo5f/I4yrK+RA+BQoEgm52\nUcuvCNLIfG5jHm/Bi9xRqBOmmR008irtHCSXKkpZSxHLyWcxbvzqeyxC9BOklwhBYoSxMAFw4sKD\nHx855JCHj5xEnqYo/XRzgk4O0cZ+grRTyjrmczllnI9Teb9CNNPIszTxJ/JZwwLuJteWyDLIEZr4\nGUEOU849FHNbIiM5yN2CnXyPMDso4BPk8s4htewsAgT5ESEexs+dZPMpnGQujSNEFKH/WoJeBnF4\nPoHmfj+adoZkjEJAbJcE2cEnAbfcPZl9F3jOG7uu0TtgoEYCqIGXwOiEnMslkMq5QiZSHU9MX6br\njrYkDZuB/XIMh07Imos5qxSIWiHHdNbSSUuSecZ5KNafBFF2w3CwXupCIwhZFUoHzlftitT2JOrC\nSSMhZChHAkh1Jlc9wp1JGe6UICvWJ8vY+ItsXJja9hXazheee0uFNvo7aIp3kHA3RDJwuCu1HQdH\nmkOh7LTOkHLO1nl8+dO/NDYSCQHRbgg3S+ATapYxROkszOSAz1KcUykDKnMq5fFULaFloJrNm9l4\n2XIFjo4lQVLwiMwvk71EKdQVSrmuhKyFE0vOZychQG+SwGjwNQhuk6VL/Gvk5JFzpZxMXOMopyKi\nEK6B0O8h9LT0KGW9Te58Gw1QEgLMrSqp4nNo7jtxeD6J5lwz7Gd0DhPkO8R4WS3DfQTHkN1mFn08\nSRffxc96ivgXPDYPicCii2dp5L/IYTUVfAw/Veo1QTe7OcEvMAixkHdRxtWJJboAJznBn2niNYpY\nRgVXUM6FeMjBwqKbRlo5SQf1dNFIL+148JFNHj6y8eDDiVslvTSIESbCAIP0YGHSUhPhqo1XUsIC\nylhMHmVoaIQJ0MzrnGYrfTRSxUYWcSOzFXgxCNPMn6njcXKoZDEfZI4t8H2QQzTwfWJ0UcmnyOWK\nlHirCAfp4BsYtFDEF8jh2iHxWBZdDPJ9wjyKj7eSwz8N73kSAsxtWLH/RBgvobnfIXc4OteesV9I\nnbdbAfAn5LnsOyHrVvBeOr6xobfB4CvSUBh8RQaYZ10g+372JZLdGQoZj5csXQKnhDF0GIKHZSZ9\n7zw53rOXQ/ZSyF4mwZSnYEw/MeF5yAhCsCGVQ3Zjs1F6y7LmKa6QMnuerFmZpdg9Z2Ya0HGyDDU/\npjsLVDvSZTuvpMOVBFO+AtUuUO2CZNvOM8SRMCNB07jIMiX4iQRkAF0kkORoIPU40i3Phbsh1iu3\noyYeTn7qA/SpXXK+wtTz7rO4hXWipA9AqEVuyQ23SA61KIBkky5/6mCND2I7e6YpLb/RL5Vk8ISU\noeMQPA6ho6B5lHJcKpVjXGH6qyYPHMXJHJCxHsGdEigFt8sMztmXQPalkHMpZF80/qBZswtCf5RB\nvZEXwL1STmbZbwX30JIjmUiIHkTsUSz9QUDgcH8UzfPeEQOJdQ4xyLfQ2U4WH1MxS0N3YIXYSTsP\n4MBDMV/ET2om8EEOUcc30NCo5DPMIjmJD1DLUX5CmDYW8wFK2YiGA4FFMzs5yu8I0c0ibmQB1+An\nDwOdBg5wit00cAg/OZSxhBIWUEgFuZTiYXSehSghemilkwbaqaWF41hYVLKaai5gHstw4GSQdk6x\niVpeIJ9FLOcOilWiSosYTfyJUzxKHmtYyj34KZX3HUEvr3Ca7+FlLlX8C35brJJAEKSGDr6Gi1JK\n+BJeW/B7nGQahx8T4pEzxjyBDORPlLNxzJXlWtzvyFwseMiHBcT2Qegp2eeMZsh6C2TdDP4bwTHO\nTSFmv8wpFtyuxskOmZAzRwGorPWQdR44Jjl2xtIhfEqBqCPKkDqWqieylkDWYsnZS2SMonMa9Hnc\nUE0xTBuVbE5KYSV1sn+u5Cy7LJM8E71Wmci+UpPijMjkrAgkz5kRuVoTn6d9aW1vvu18/DhP1iOd\nRIfFzAJNCeDTI4FPVAVtxXqHnosGUs/F+uXN8eZJTrmx+bZz6efzz40tm+lkmRDtlEHVkXYFiNqk\njCgZZyFsg2vuMIOv/OzmMkknIUDvglAthE9C6JTkeNsYgOzFSWWXtUQpvLFbkKMmMyiDtEO7JUgK\n7YLYaelFyrpQKv+cS8CzcPxAUljS6g8/D6HnIHZQ7nbLulVOXs7RWecJz4P+M4T+BzTXTTg894Dz\nqsyFYhXpHFBg6XWy+XjGmCX5vjY6+TohdlLM55jFrSmeEoMBGvkhATZTwSco4uZEoLXOICd4iDa2\nUM17qeAWHLgQCFrYxQEeQ8PBct7KPC7BgZMuGjlIDSfZRSEVLOICKlnLLMZZADnTPUPQRzt17OMk\nOxkgwDIuYxUbmE0RJjHqqeEIT+OngLW8h0IVi2UQpp7fcJrfUslbWcDdiYBxC502fkULD1PC2ynn\ngynB4gKdHn5JNz9kNrdQyKeGBIvL7wko8PQLfNxMNp/BpTx2Gf+PMBHGnxD6TxHmdjTX3Tg894zo\nWRxC+mkIP6tA+zbwXgJZb5IAyr1yYv08cswGonbJ0j++ZZB9oRxPWReAf9XkLOsN+X0BsXYFoOIG\n13FpgIXrwF0gwVPWIvBXq3a1jGmc7NQIY6VYv83ATTN67Xre4VZ6vQx8pUrf26SvVEpvwcxe9RiO\njKjNAdKtYo4UoLI7SuIOkfg5QwV3x0FUAiPY2unH8bZn1pB7Nf2gKdQJv75ABqnpg+CZTU2dj41r\ny2x/KDfDH7LdAF8+eP4KgsYtHSIdituljIOi+LlwuwRF0YC6ByWS49ZGfJAkBk0ZuGeGWxMjKHeo\nhesU10urMFQr3eqaWy6dpSgtJb1zM/6HSVvK1TsVQNojPUmhPRBrAP8KBZCUYvevlNc5ETKaJUgK\nPw/hF8BZJCcl/5vAt2FM1rew6hH6o1j6/yKLwv4Dmvt9aI7CET+ns1+BpZ1k8wmy+CAaQ0GzRZgA\nDxLgEfJ4NwV8DEfa+wK8SB3fJI+rmM+9uGy119rYwhF+SBGXsoQP41Gv9VDHGzxEjH5W827KuQiA\nZo6xmz/SQysruIrlXDGpQGmk/tJDG4fYwjG2U85SLuAmipiPhUk9mznI4+SziPN4PzkqX1OYdo7y\nYwaoZxWfId/mWYvSTj3fIswpFnIfs0mtHWcQoIvvMMDzFHIvubwrJR4qThY9Cjw9hI+3kM0/D6nf\nl07CasCK/QKhPySLKbvfJ8u1OEpG/FzqDw9CeBOE/yJZxMB/g+LrwTlyHzvz91LFDUAAACAASURB\nVIchvD9pkAR3QfSULPOStQ7866TMWgvOKUhFECdhQqRRGWmnZGLa0ElqXtnLxuWdNr0U5yrwL1Bc\nOTUgb6wkhHQuxAFUwnC2GdCRdnlsDMggdZ/aVOSzceK4WEpv4bk/r5q6xBfpjpa48yXaazuOs3LU\nGEHpjJlVCe/aC8wE0GQaMlOqzY024wPBR0uWCbFuBXg6pWcoojjaYQNInVLq/bKT+m2dNqUzx8+V\ngq/o7JQMGC0JAUYfRBogfFqBI7usl0tsvkqb0qlSAGmhPHaPvTjnmPuKFZEWbviAVNjh/RDaDyKi\nPEjrkgrbv3ziAAlk1uZwDUQ2SzY7wX9dcvJxjaGYKqoOnP4Elv4oWIfRXO/A4XkfONaP6FWSWbS3\nE+T76OxTYOkDGcGS3CH2Bzr5Jn7Op4jP4knLKaQToI5vEOIEC/kSs1mXeC1GH4f5DwaoZRX/jzxW\nq8+EOcBjnGYrq3knC7keB046qOdVnmSQHi7gLSzhYpwZAMREaTT9JUaEI2zlDf5MGYu4hLeSSwkG\nUY7xB47xDEu5leXcnthx184rHOb7lHAlS7knsfMPIMBm6vh38rmG+XwSJ6lBsBGO0MFXMeighPvI\n5qqM12XRq3bb/Rwv15HNvbht+a8ykRAmwqxB6I8i9N+juS5Hc78XzXXr8PXuMn8RGCcV0P8LhLeA\newH4rpbFnX1XgXMSiutaYRkTGNoL4T3SeAkflDGB/jU2Xg2+xZMzPoehmpoaNm7YYPOA10lQZTf6\nIk3gKZS6zFcpQZSv0taeD64ZltnbjKl5p00Z4TYOt8u5KawM9ViP3NjjK5Zzjq9YsrdIHqfIYmnI\nn4terOHIMmSuSH1AlgFjJoCmmVZGZTgSAvQ+uQYd7UrKSJc67kqComiXlHqf6nC2zpXocMUZ2jO4\nw5lhqSAijZKjjcl2uEGCJZBKwl+ZqkD888FXBd6zWMjSikDkOEQOQ/gQRA5JGWsA78Kk4s1aK9vu\nSao5B2A0QeQViGyVOZTMZvBeCf6r5STjWTvm+yDEIMJ4FqE/gTBeRHNdpya/N6NpI5eDEZhEeY4g\nP8CiWy3D3Y1G5kkzzH46eACLKCXcTxbr075PEGAT9XyLQm6mgo+mbLfvYhcH+CZlXM1iPoRTLU21\nc4DX+RFFrGQd78fLbCIM8ipPcpoDXMRtLOdyHMwMy1YnygFeYg9/YQVXciE348bLIB3s5kHCBLiE\nT5Krlsxi9HOEH9DPcdbwRebY4pUM+qnnWwywn4Xcx5wM93SQTXTwNbwspph/xTOMN8milxCPEOKn\nuFhFNvfiSSvjkomECCL030oAZe5Ec9+G5roLzXX9GfvQ0C/TIbpbGgHhzRDdDu4l0lPquxJ8l496\nafnMv2VBrE4aN3FDJ3wAYo3grZZLev6V4Fspc5z5Fk0pmEq9NhMizQpAZTIWG6Xn2D9f6kZfhWTv\nvGTbVz4zvFWZyDKS81m002bopzkC4jJ9zvMWqnZhkn22trdAgsqZsBIySvrbBE1mDGIBBXwUpxx3\n2c7HzwVkzI+3QMbQ2DuCrzD1XFx6zoFK0EKAHpDbeqPNUgFEFUeaJEeb5PZ9X7ltoKuBH7emfPPB\ndZZ3eQghtzpHjsnSI5FjEDkC4SOgN0tw5FuuFKpSrN7FsjzBpF2DIeOQoq/KGJDoNlnPy3eFnDh8\nG8GzblwB6UL0I4w/JoGS8zI0911o7jtGzg4d/zwhwvyKID/GQS7ZfBIvNw8pHhsngw46+TaD1FDE\nPzOHu1LqvQHE6KaerxOmjoXcnxLobaFznIdo5UXW8DkK1HKUia68Sy+znn9krjp/it28zGMs4kIu\n4ja8GTxeM4GC9LKN39BOHdfyAeayBIGgjs3s439YwZ0s4ZYEaGnhRY7wQxbyLqp4W8o97OFl6vi6\nWsr8JM4haRyi9PAwAR5kDm+ngI/jzFCvDuJFkn9DkB+ikU029+Lj1oxLfEM+a7Ug9CexjCfAPITm\nvhnNdSea64axeaASXxiD6E5pJES2yfHgKFbj4ArwXiZB1WQaTVZYjvnwQWUUHZRe5FijTPHhW6ZA\n1DLwLQXvkrGn+pgoCQF6tzQqIw3KwGyUOjVhgLZKL7t3ntSx3nngmyczpvvKZWiCtxxc50C5Lsuw\nORQUmMrkXLDPs5Yu59XE3KrmU6+NPflpx3nTttIyI0HTqJZchJATeTQgXYixHgV8lBzSDiSBkRWT\nNz3+kLwF0svjUTKOgBOsANBkFXg9GyQEGD1yQKZwSxq3SkvIWw4+NTi9c9WgtQ1izzRmEzf7IHIC\noicgelK2I8cgepyaXQYbr1illOJSuaTmWy4B02Rbm0JIr1F0h0wuGdkBsT3gmie3avsuB+/l4F46\nbuUmrFbpUTL+gDC2oLmuRHO9TXoFtNHF9pi0EOJhwjyMmwvVMs6lw3oiBDECPEyAnzKHt1HAJ3Da\n4pLi1M0m6vkmRdzKPD6SEtwcooW9fAUfBaziX/CowOYgXbzKt/Eym4v5BF5moxNlK7+iheNcx4co\npXocd2p8NJGl/zr2UsOjLOcKLuLWxE67V/kufnK5mE/iUSAoRCv7+CpuZrGGzyfuB8ig+dN8h352\nU82Xmc2FQ35LAthvEeRlCvln5qSBLzsJLKL8iSA/wqSJbO7Bz3twMDqAIKwWhPE0Qn8KYb6B5roR\nzXWL9GI6xrnJQpigH5IAKrJVjherR2Yl910MXsXOScqNZicrInVF+Ig0oqLHlUF1TCaR9S6RcVPe\nxXKJz7sYvIuGlCs6a2EiwoRYh81IbVZgqiXViEVTAKpMyXjbxp6ycwNc2cmMDHVWpDg0lNPCfhzr\nlbsFPWoz1xCZJ9uePNuxajuzJnR/ph80RXvlzYr1StZ7qXn5NTaeX2IDQ73JdgIk9UqPgf0GedWN\niYMf+w1MoNX8c84dmEJmWO4CibZDrA2ibUNltFW2Hb7kQIoPNN9cdWwbfNO9VVVYMs9LrFYGgqaz\nFZFKza7gfEvAt5SaVw5OXVFNs0UuQcR2Q3SXlMJKKnzfxXIScI5/d40QFlhvYOnPIoxnwaqVk5b7\nFjTXW4bN1D3ke7CI8TIhHiLGVnzcSTYfwZVhS3vyM4IBnqOT7+BhASV8EQ9DC/oa9FHHNwhyhGq+\nwixSd2N18CoH+TYLeTeV3JkAZx0c5lW+w1JuZhl3oKHRRwd/4scUUMEG3jPqdAGTRROdCEP08QIP\nYWFxIx/BzyxMdPbyCK3s4Uo+zxwV+2VhcIKf08pmzuN+cknNrdXDy9TyVQq4gfl8fEihX4Aw+2jn\ny4BBEZ8nm8tGvL4YuwnxIFH+go+b8PMh3Jw/6hp9wupAGM8o4P4SONfgcN2C5roZHMtHjJk7I5nt\nEH1dGhvR16RnypknS/94L0jKiQaYD0dCgNGmAFTcCDuh2rXSC+VdKJf8vNXU7Iyy8dpb5O5Y1wwo\nmWL0Jw3daAtE1OpA3CCOKSksG4gqlWER3tJk21OSlJPpdT+bJCwZZ2RfJUrgA5uTZAhuCEiQGgdR\nGTk3ra3YWwTunBkAmrbeDZ3b0y42Xaa3FZ9Lnp/hSAhZ3yzWMZSj7RIgxdrVuXaVq6JEDgBPiWwn\nBkeZbVCUTU/ukUwkBJgBiNZDrF5u24/WSUUVq5Nt52zpUvdWS1CkFBfeanCVTK3CEibox2W+mtje\nJAtTKfMLpfReAM6KCV+LsJoRxgsIcxPC2ARaPprrZhyum8F5GdoYPGQW3YR5jBAPo+Eniw/i4+04\nhlnSiVOQbXTyTQQmxXx22ODjXrZTywPkcy0VfDwliFlgcZL/oZk/sZb7yVO5jADq2MxeHuES/oky\nFSDewnH+zE9Zz82s4uoxF9udKWRhsYOnOckubuIT5Kv6erW8yD7+l0v5FKWcl3h/O69wiO+ymA9S\nwS0p36XTSx1fJ8xJqvkqOWnACuR9HuBZOvkuHuZTxGdTCiBnvsYuQvySML9AYw5ZfAAfbztjv0j5\nXRFRQeQSRAEy/sl1A5rz2vF7oRI/YMng8uhum3HyBjjmgPc8mak8zq6qqfV0C0su6Wcy2qK1MobL\nuwA8CySw8lSBtyopp3J331jJGMhgTLeqdntSxjrAmaPmk2I5b8TnFE/xUHbOkF3YEyUzolah7NzL\nEAeNrnbV6epc1d2w7hszADSdK4HgoyVhgd4jd1zEOiXrncl24jgOjrpkVlhPekctSnZie0d2TVNy\nyZFIGKC3yiDr2Gkpo6dtx6dlcU9PFXgqbcpmYVIBOc/CDhMhwGyD2AHQD0gZOwj6EXCWyQBtzzql\nsNeCc3KCw4XoQRhbEeaLEiSJdjTnNckJyFE1tu8jRpQXCPNrYtTg5Say+CBuLjwjEAmzj06+g04j\nRXyGWdyUcdnHJEwD36eHLVTzZeZwccrrBkH283V0BjmP+xPlTwSCwzzJKTaxgfsSXpda3qCGR7mO\nf2C+DVydy3SUbbzKk7yFjyeWGDs4xDa+zXm8nwVsTLw3SCNvcB/5rGE5n0hkQId4lvQ/U8+3KeVu\nyvlAxrgkQYxeHqebH6pM7J/J6BlM/YxFjM2EeFh5IG/CxztU4PjoQYgQAqyjCGOTAvsvg2Ox6sNX\ny3g7bRLGsLDAqE81XqJ7weoFzyrwrJbsXi2PnVOUoy2dzD5l6NUpj3i9NACj9dLw09xSt8XZWwme\n+eq4Qhl+M2yTj7BkPGvcIE8x0u1zlHpdGHIOchfZ5ijFbnu7UMqzHeN6lmhGgqYZk3JAWHIbvd4t\nwY3ebWt3ZZZGj0TknsJk5xnSsezgqHDm7pwA5YVpl6VCYk0yyFJXMs5GG7iKpHJIKIo4q2PX1CSI\ny9hX4ktr+mGIHU6VkKZ414BnJThGb4GfiYTVhTBfRphbEMYWsE6hOS9Fc21Ec10PjvOHrfk27Hci\n0NlJhCeI8DROFuPnnfi4DQdnvrdRjtHJ94iwj0LuVUHemT1agxzkJP9KDquo4nO40rwTIVp4g38l\nj9UpAEAg2MMv6OAgG7gPvwJSx9nBNn7DzdxL0QiZrc8GTbZuOc0BXuQX3MhHKVdlVfpoZAv/xlJu\nYanNs2QQZB9fxyDIOh5IiXMCiNJOLfdjEqKaf0vJJm4nWfPvYXp4iByuo5B7cTPvjNdq0k6EJwjz\nOBYB/NyFj7fjzuDdOhMJEQPzNSzjBYRZA+Yb4FyF5twg2XUFmjbObOIZLz4w1NiJHZCZ990r5Bh2\nr1DtFeCY+HLaqPuKEGB2K0MxzViMNUgdafaCu1zpSMXueeCZp2SFWgKcYcDKTmbIZvzHwVTcCdCV\n2tY75fvdBcl50F1gmxeVdKu44nj7HIjH+tsATUKAOShRdQp3Z5Aq0Ezvlstmzmzbgy9Q7QIborY/\nfNUxZlL+pJHIHAC9BWLNUuot0kUda1bAqBmMdhV3YBvkiYE+X7J77vSsjVshal78FRsvywX9KMSO\nSqkfBUc2uJelKlTPCrmjZxIHpYxJOoowX00wVqu0vF0b0JxXgfPCsW/pRoIQg31EeIYIvwVc+Hk7\nPu4aMTO0nSIcoJufEOJ18vkIebw3Y+wMyJ1bTfw3nTxNFZ+lgBuGvCfAfvbxAAt5D5XcYbtWi538\nlD4a2MB9iYDok+xiK7/iVj5NwTBFaM8mTYVB1sRRnudB3sw/UoYsdROkkxrup4prWMnbEu8VmBzn\n57TzMufzdXLSgJHAop3HaeJnlPNhSnnHsLsdTfoI8HN6eJRZ3EgBHzmj5ylOOoeJ8BvCPIGDXHzc\ngY9bR4yBG4mECCPMHWBuQRg1CHMnOBbJceC8DM11GWgLJhYTNfRH5caM2CGbYXRIeo7R1PiP81K5\ne8+9ELTRGamT2lesiDI6G0BvVO2mVGPUGpC61F0OnnKlY9Wxe65kz9zxl2g622TF1HzamcHZ0Jmc\nZ+2vWRFw5yfn2QSoKrCdzx/advjPGtiakaBpWDIj0pOjKzZ6FNiJH8fbNhl/j8OberNdeWkPI+1B\nuQvkNlDHOVZiRQhp1eitI3CLlFhDB6R7rhqs5cnXpjNY0AqDUQv6SRn/oJ8E/YSMQbI6wbVAKcM0\nBTkZifYykLBaEeZOhPk6xKWWj+a6DM15OZrzMnCsHLMnKfH9mOjsUEDpWTTc+LgVH7fjYu2o4oAE\nghCv0M1PiVFLPh8il7szlkeJUz+7qOWr+KlmAZ/Dw9BdTc08zzF+wmo+T5HK4C1/z2InP2GAFq7i\ni7hV3FMDh3iBn3Mrn6YwLTHmXxs1cJAXeIjb+AwFyusTJsBmvkQlG1jJXSnvb+JPHOdnrOGLFKZl\nCpefPU0tX0Ggs5D7yGL4uoMmPQR4hF4eJYtLyOce/LaYqpFIYKHzKhF+T4RncTAHLzfj4xZcrBl3\n3JkQMbD2Ioy4MbENMNGcF6E5LwLnejTn+lHvCB3jj0vdEDsK+rGkIWWcBOM0OMuVzlgMrkXgVuyq\nkvXppoussM2IbbIZs80Qixu1LXKDj3suuMtsMp1Lpfd8hntthlACaNkAVYpjI1O7W37WlWeby1U7\ncS5Psv3YlTeuOX76QVPbU9Kjo/cqgDOc7JFLRfY/m/7n3Xkyc6z9psXlTF4COxMJIa0QvV16fvR2\nudvM3tbb5DKZ3q4GVRm4SlMHUQIYqcE2EwZVXMHpdQocnZIy3rY6wVUJrsVKsVUrhbdEZtKe7IK8\n9kuz2hDmG2C9gTDfkNYzITTHelDKX3OuH1tpigxk0UuUzcTYRJRNOCjBxy14uQUXy0e/84kY/fyR\nAP+NwKCAjzCbW9AYfiLQ6aWB79PHdqr4LPlcneF7BSd5hBY2cQFfJ8fm5RIIdvMgfTSygftwKS9W\nF438ge/xJv6RuSNM+H9NdJwdbOcp3sYXyFZLpmECvMSXWMi1LLd55gAC7GUvX1EB4jcP+T6BRQdP\n08iPKeYO5vHhYb2EABZBevk1AX6Bm3LyuYccrhl17JIEULuI8AeiPIvAxMeNeLgeL1dmzBw/WhJC\ngGhEmK8nGPMN0IrlGHKuA+f5aI51Ew8wH/FCdBkzpR9XbDPGjCZwlSsdsxBcC5PStQAceTNDX5o9\nScNXb5GAymhTx3HZCgg1B5Qo/V8qY6vcJUqq11zFZyemdCrJDKU6TIwAKc6TFCeLDVMYvRIbuPLA\nnTuCzJWy4E1oLv80g6Y9t6sLypPSNYeanW1svOoy20XHEeHZc8FNOVkxmZjR6ASjA/SOVGl0KJCk\nzmnOZIe3d353iQ0gqUHgGEdyuqkiIcDqkhaecVoqLKNegaQ62dZ8ymNUrRSUXVmNDIwmw4UuhAHW\ncYS1H2HuB2ufBEvoaA6lzJ3r0JzrQVs44SUGgYXBAaK8SJRNGBzEw6Vqcrp+1EtvcdJpopff0Mev\n8VBNPveQzYYRJ0uBoItnaOAHFHA98/gYLoYqTpMYB/kWIVo4n68mAr7j37GP/6GDw1zNAwkPU5gB\nnuBrXMIdLEkLIJ9umup4yV08Sx17uYPP4lKxXiG6eJEvsozbWcybUt4fpJHdfJ4SrmQJH874zGJ0\ncZpvM8ghqvgseVw54jUIDAZ4jgD/jUk/ubyLObwNF6MHI3Jp+AhRNhHleQz24+ZivFyHl2twsnjC\nux+FMNXS9m6EtUeOOXOP9Nw614FjLZpzDZpzrVram+J4HxGz6aZT1GzewsZLdGXA1cn3uKukrnIt\nkJ4pV5Uy6qomlHpkSsgcVIZ1mw1M2QzvxGsdcl51FdsAVbE8dhXb2kWqXSg39vw1UCJ0RwGoBLiK\nA6s+23EvrH4UzT1n5i3PzZhA8NFS3BNkdNlYBcUZncnjOOudIMKy87mK0jqm2p2Q6LhKztR1bCsC\nZhMYjYobwGyQ0miQQEnz2pSLUjCuBeBWiscx/oDRsfSVpLV7CKyDCOsQwjwA1hFwlKMpJS2V9TrQ\nKiYlBkMgMKklxhaibCHGVhzk4+VqvNyIh8uHLWky/HfqDPIivfyaMHuZzW3k8S68Khh5JApynHq+\ngUWUBXyBnGF2s0XoZi/346WQNXw+UQ4lTod5itO8zDV8Fa8KFreweIb/oJhKLrXF8swUmmrdIhD8\nhQfx4udq3pc4P0gbL/JFzuN9VKaBnhh97OE+POSyms/hGsaj08t26vl3slhMJZ/Bq1IdjHQtEfbQ\ny2MM8Bey2Ugud5PFJWPaOQfSGyr77yai1AAWHq7EywY8bMA5SfFqMkbwlAJRcQNmH4geGWjuWI3m\nWKnaq6SnaooM6ZS+IoRMzmnUK2OvTuo2vT5pCOJQ+m1+GlfIVCWu8rNX3mUsJISsYmC0K6O9fRgj\nvkPNYQG52clVpIBUUbLtKrLNa4VJdg4fGnCu0fQvz820lAPCkjFBRkDuiDDi3JXaNuPn1HnNY+sk\nReAqyNCpbCDJeQ5sx7RCMtDSaFbASLEdJFl9yqVdAU6bkkgoj4oJgaLxkBAmiHqEeQSsIwjrMMI6\nAuYR0LKksnWuQnOsTLYnY7t0/PexMDiGznZibCfGq4DAw1VqkrlqXJOMQBDlMP38nn5+h5tKcnkn\ns3gLjlGArihtNPETetjKPD5KCXcOG2Tcw0H28gAV3Ew17x0yydbyAod4guv498QuOYCdPEMzR7mV\nT8+YGnJnm2JEeIKvciE3sZRLE+d7Oc1m7udS/ikljxOARYzD/JAeDrCOr5BD5iLOFlFaeIQ2fkUR\nt1POB3Cl7cLLRCZ99PFb+ngcixBzuJPZ3I5nHLsZMxsBeXi4FDeX4uFSnCyY1DxcQvSAeUAZOgcR\n1kGwDgIOmXRTMU4lJ8ngGcMFKlDVkGY4nk7qSrNdJu60gyjnPFlRwDVPtp1lMrxiJpOw5G5G3eYI\nsDsG9E6GOBDANj8WDJXOAnVsY8fM3En31wuahKnAT498wEYgKVPa3WntXrm+O+Qh2h9uhoc/0zu6\nnURMDmCjRW7NN1vAaJUAyWxRIKkZRAScc9WALk8O7ARIqgDn9OQfkV6jLrBOIKzjCOuYWmI7BtYp\naYE6loNzRVKhOpZPSbyExSA6b6CzG50dxNiBgzmJCcTDZTipHvckEuM0/fyBfn6PIMJsbmM2d+Bl\n0ag+r9NDC4/Qye8p5k7m8v4haQTiJBA08DSneJRV/AvFtkk/Ti3s4nV+zDV8ldk28NfGKZ7jx7yD\nLyViev5WqZMG/sD3uIt/ZbYtqL6Dw2zjm2zgS+RnKB/TyB85wc9ZwacoHSbhKECMDpr4GQFepIz3\nUMq7UhKPDkfS+7SPPp5mgGdxM4/Z3MIsbsZN6bj+qzQSDhNjOzqvEWM7YCoQtR43F+FmDRqTG1cq\ndUA7wjosjaOEkXQERJ/MI+VYCo6laM6laI4l8twos+xPOgkDzFYbiLIbpM3qXJuMNXWVS53rLAfX\nXKWHlXSWyWLI59ISmRm0ORrSHA5DnBFqLrbCMjzHVQDOfBmvbG8nztnazjzlkJi6OWlGgqaEW1SY\nMqmYqdYZzV5b2y4DUibOBeR2eudseRNdBUrabmwcDDnVg3DlK0CUd251xjgJAWJADjqjTQ5OM00a\nrVJavXLQpQzEeLtcDdi54MifVqQfV4rSXX8SYZ0C6yTCOgHWCUBjy7ZiNm5crxTiUqUkF6NpU+MO\nFugYHEVnjwJJuzCpw8Uq3FyIm/V4uAQnZRP4DUGMEwywiUH+jE4rs3gzs7kd/xhKYhgM0MqjtPMb\nCriBcv4BD8NXnjcIcpDvEqSRdXyZrAzesG6O8zJf40q+QKFtKVAnyuM8wKXcSXWG3WAzhc7m0v8e\n/kI9+7idf07x1DWynTf4OdfydXIYuomgj2Ps5csUcwVLuSclEWY6hTlNIz9mgD3M5f2UcOeIweJ2\nEhiEeJV+nmGA5/GylFm8iRyuxzOB3Y7SE3VaeVp3ofM6JqdwsVyNkfNxsw4ni8a8TDjqaxD9CSNK\nmMfAOoawjku9ofkVoFqM5lgkUyM4qkGrlvFUSudNS5iIsFQMaLMNVLUqY7YladRaATlfJUBUGThL\nwaWks1SdK5HpV85FEnqaY6Pb5vDoVnN9d3LOj5+zgnLuT4AotVnMqXbTJY7T27nyc2cAXNMPmho+\nqTxCvQlQVPNaGxvXRcAaVMAnN/XPufLSzuWn3YR8hTbP8eUBISTAMTvA6pDeoYzcJhmXHCSJAVSa\nbMcHlqtMJX6bGfdGiCBY9QirDkQdwqoFKy5rlYKrRtOqpXQsQnMsBsdi0ArYsmXLlCk2QVQBpAMY\n7ENnDwaHcVCBm7W4OR8PF+Fi1Yg71Eb3WwZhdjHIiwzwPAKdHK5nFjeQxcWjqlwfpyjttPErOvkd\neWygnHvwnWE5sJ+T7OUB8jmP5Xx8SPySfE8zL3Ef6/n/KGd9ymuv8Dgh+riBe0Z9ndNBZ3MitLB4\nmm+yhItZzTUprx3nOU7wHNfyNXwZltdi9HOAbxCjh7V8iawzgPAgx2jiQQY5QCnvpJg7cY/B22cR\nJcjLDPI8g7yEiyJyuI4crsfH6gmDG4sgBnuJsQuDPejswSKAi9W4WafG0xoFpKbOaJWGWJvyUJ9A\nWCeVUXZKeqhB6ZkF1Lzi5OqNG8GxAE1bAI5KNG2GrCgIQ+n+VptB3DbUUDbbkfNCqZobMnFxUmoz\nYEf1REkYaatMac6V+HHiPfHXezNgjlzVVpx7O9rsDdOdcuB7yQtKXODoUd85RQlvUKdkS0mzIymt\n+LFiza86dNEwHd42GBwzb9uoEL1gNSCs0yCUtOoRVj2Ienk/HPPRtIVSOTnicoECS1Nf00mozd0G\nhzE4hM5BDA5gcAoXC5QX6TzcnIeLNWOq3zUSxWgkyMsE2UqIV3FTQQ7XMYvr8bJyzMt5gxyijcfo\n4RWKuIVS3oXvjMHCFqf5Laf4P5bzceZy3TDf3cFL/CureCcLuTbltQ7qeZYfcDcP4J+ke/PXQgFa\neJpv8Q7uJ4fU3GH7eYwWdnIN/4Ynw85F+WyeopbHWM4nKEsDXpkoyHHa+CUBNlPAjZTxbvxj3I0p\nMAmzh0E2McgmTPrJ5kqyuYpsLsc1grdyLGQRQGcfOnvR2YvBAUxacbEM162U0AAAIABJREFUN6vV\nuFuBi5U40u7dVJAEVAEQp6QRZ9mNuDoQjaAVgKMKTauS0lGpwNR8JWeYV0cIEP0qHKMNrHSDu8Mm\nOwBDJgB2Fqs5p0i2HUWp5xxKatnnPsiykzDA7LeBqz7lzFEAK+dytFmXzbzluXOGrAhY3WB22WSX\nTXaqdmfyHO6hHS/eGVM6Zok8nsGxUkKEQTQjrEawmhQoapA71KwGsBoBSyoTRyVo89Ec85XlVgWO\nKrX75ewBY4seDI5icAyDIxgcRucwYOJipVLSq3GzBhfL0Ea51DEaMugkxA5CvEaQbVgMqMnoSrK5\nYlyTkUWEAC/Rxq+J0aW8DLfj4szB94PUc4jvIbBYwxfIGgZgxbfML+UWlnBT2u9bPMXXWcXVLOfy\nMV//3wLt4Hf00saNfDTlvCw78zBdHOVqvox7mF1zfRxjP18jhyqWcy8+Cs/4mzG6aOc3dPAU2Syn\nhLvI5fJxeXGGgvu5ZHMlWVyCnwtxjiIQfbRkMaCMlwPKeDmMwRE0cnCxQvEyxUsmzYAZDckNJq02\no69O6bnTCNEAVgNoWTII3TE/KR0VaFoFOOaBNndc1QHOGlkh28qG3YDPYORbKsDbUajmrEI1h6lj\nR4E6V2iTBTNzB+EYaPqX52ZCygFhyV1gVrdcI7UCtrZaT005ViBJ6LITOApsnUZ1jHhHSulQhTMr\nh9IwJJ9JL1gtCNEMVjOIJoTVrEBSE4gmacFo5UopzJMeI0eFAkcV4JgP5E7pLpZMfUVgYdGMwQkM\nTmByAoPjGBxDEMLFUsXLEorYQemk7vYB0GklzM4EUDLoxM96sriYbC7Hy/JxLXsIBIPsp5Nn6GYT\nOayghLvIY8Owu+HsZBKhlsdo4A8s4n3M59ZhPxeim83cx0KuH5KcEeAQL3OUbbyVz036/ZsKmo44\nFZ0ov+J+ruZ9VLA85bV4ctBeTrOBLyVyXaWTSYxa/o8Gfk8172U+d4xqd6JFhC7+Qge/JUoLhdxE\nMbfiH2W5lXQSGETYR5BthNhBhL24WUAWF5PFxfi5YEz5oEb3mwKTBgWgDiuD5xgmJ9DIV2N5MS6W\n4GQxLhbjoGTC/XGsfUV6qjqV0dgoPewiLpukESnaQMtXgKoctHI0xzylR8vRtHJwzJ3cun1TSVYw\n1TGQAFfdGRwIam7VsmxzZHz+jMt8Ke1tZz5oM2cn3V8XaBJR6VazehTwUWuVViDJ9uMEQOqTbsaU\nB5gv2VmY9lBtD1vLmTEPcjQk73UfWK0I0aqsphbZTshmEC2AWw3iueAoB22ebZCXg1YBWtFZ9RKl\n/BdVG/7Fmt9wxcZcDE5hcgqDk5jUoTEbF4twsgQXi3CxBBdLcVA+JZO7IEaEw4R5I8GCKH7OVxPK\nJQokjT+WLMxpAmyik2cAB0XcTCE34R3lrieBoJ2tHOW/yGUZy/gYvgzlUuIUoovNfIkFXMsK7hzy\nepQQv+SL3MI/UTTMFvmZRtOVA+4Uu3md3/MO7h8CdgQWu3gwUbdvOI8TwCANHOY/0RlgOZ8gnzWj\nvoYwtXTwDF08i4diCrmJAq4bcXPAmUgQI8w+QrxOmB2E2YOTAvycr/gCvCyZUL8f/rctBaaOKsMo\nzscBHSfVauxXJ9pOFoyqwDVMTV+R3qo2sBoTBqkQ0hiV7Rapg9EUeCoHrUy1bVIrA0cZmnaOLYcL\nYXNQxFdo0pwR9rk5/pqIyozsTjUvO9TmrsQ8nS9fd8Rl/L25k+7ZmlmgSQgQQRn8nGAVsGX12LjX\nBohsLGLqZqXfvALbDVUR9Y6C1Jt9Lu6YUySXyeR6tRDtcseZaENYbVKKNrBa5Xtwg6MMtFJl1ZQp\nYFSmXMfxc9MfHyUwsWjBoB4zwbUY1GJSBzhxsUApxGqcLFKKcSGOUSxPTeS6YtQSYR9h9hNhH1GO\n4aHKNllciJvKCQE0gSBMLQFeIMCL6PSQzzUUchM5rB7Td/dymBM8RJRulnMvBZw/4vsHaWcz97OY\nN7GM2zO+Zyu/xiCaksTx75SZBILf810Wso41aTFh8nWL3fw3AU6ygfvwjtB/BYI2NnOMB8llBYv4\nwLB5nTJ/3qSP1+nij/SwlSyqyec68rka7wR2fcb/R4wThNlNiN2EeQOTDrysxM9afKzBxxrczJ9S\nz6RFQBlSJ4cYVODBxUKcLMRJldIhVTipUh6q6Y2jlXPigM3T3wKiVQGqFiXbpNGLBlqp0tlloJWg\nOUrlOa1UlnjSJM/oZcEzkYipFR+7w8PuHAmktW1YQfPbcIGdc9PO5ybPxdva0Cok0w+ami6wAaQ+\niQrtfyh+8c68DOfzUv/0Oeb5GY6Sy2MdIDoQokPlI+lQgKgjCY6sdiCqBkZ8kMQHjJJaiQ0ozZxA\nRRmA3YlJg+LTNnkakyYcFOCkUim3KgWQFiqLceqDQy2ixDhOhENEOESUQ0Q5hpMCfKy1TQQrRyyI\nO/rf0xlgH71so4ctWITJ51ryuZZZrBmzxd7LYU7yvwxSx0LezTzeguMMcS29nGYL/8YK7mQxb874\nnk4aeIb/4G6+8vfg71FSPCj8nTxAdoY4IFmW5n9pZTcbuJ+sMyxzGYQ5zVPU8yQFXEA172EWC8Z0\nTRYx+thBgBfpYQteyshjA7lcTjYrJgVAmPQR4YDNyNiPRRAfK/CyEp9iD9VTunMO7DpHGl4SUMX1\nTT0W/TipxEUlTuYr3ZOUGnkzZhk6Ca7aFKhqA0sZyYl23IjuBLLBUariSBWQchSruaMYTSuWQeBa\nMTDr7CYHnSoSltp8leZgyeiQSXPWWD3y8wkwlQu+S9EKfzDNoCnyuu2i5oDmOffKqJyBhLBA9Kj1\n7k6Ekogu2bY6bOc7QHQBWYkOrGmqI9s6uaaOcZQAc2ZkBxfEMGnBpBGLJkyaMGm0cRMaWSlKKV1Z\nnam8yGT1FVlrq4Uox4lyhAhHiHIUnQbcVOJjlU3Jr5jU4NcorfSxnR620c/r+Kggl8vJYwPZ49hF\nJxcud1HLY4RoZSHvVGDpzJZmK3t5jf/kfD40pNxH8vstfss3WcZlrGTDmK5tumm6dct2nmSQHq7n\nwxlfFwiO8jtO8Ceu4LMZE2Cmk0GIBn5PPU+QxyoW8m7mjKKcztDfNuhnD71spZdt6PSQy2Xkcjlz\nuBi3LfP7RMmgK2GESIPkMAateKjGyzJ8LMfLUrwsxUnRWQMqFkHl0T7N5poXuHyjN8WgA1Pppwoc\nVOCkAifzFJfjoGzKgd94SM5BAWl8KyMcqyMFVAnRkTDUQQetSIVgqN1zWhGaOifbhbLtKELOQX9F\nO93jZEVAqB10Vi9oLjTfhTNoeU7RdCu2kSgJgLpBdCNEtwQ5ohshulS7K6WN6AFtDqhOluhs9k7o\nKE7rkJObPXeySRDDok2BohYsmjEVWwkZwEGpUigVOClXsiKhdCbqnRlzsCaWAkcniXFSgaTjxDiJ\nhh8vS5XCXoaXZXhYhGOSMxnH6KKfXfSzkz52YjLAHC4ilyuYw2V4xhlIqzNIKy/QyDMITBbwLsq4\n5oyeJQALk0M8QS2buJRPUzxMPTqQwd9HeIU7+dy0L2WMlaZbt8ig8C+poPAVw76vgW3s5mes5m6q\nuXFUoMEgTBN/pJ4n8FHMfG6lhA04x5lDLEoLvWyjl230sxsPJcxhPbNZz2wuGFX5lrGQRUiNx6NE\nOUqEI8Q4jkDgZTFeFuNhiZKLcFE8pWAqU1+x6LMZfQ2YNNkMwiYsunBQrHRdOQ4lncxV7blqCXBm\n5MkbjoQIqbmrA2HFjfwOZdh3JY18Sx0TVAHuhaAVqrmsQLULbW0VG6wVcK4CrelfnpumlAPyd/sV\n+g4glJRgKKDAUMAGjOLcB8xOPHhNUx1AK1LtwmTn0IrUcT7aORIzJQOsezBpVaCoFYtWJVswacOi\nBYsepRzm4qAsoSSczMPBXKUwSqdNOVgEiVFHjFolTymgVIeT2XioxqMUsZcleFmCcwpKf8iyFQ0M\nsJcB9jDAPnS6mc35zOYi5rAeP9XjBh8CQS+HaeJZ2tlKIRcyj5sp4PxRf2eQDrbzHzjxcgn3ptSS\nG/reXh7nAW7l0xROIGv03zLVs49XeJx3cD/uEQB5P828yneYRRkX8tER45zsZGHQwas08gwDnGQu\n1zOPt5AzxnxNdhIYBDlKHzvpZycD7MPHPGaxjlmsZRbrRr0hYWy/KzDpIsoJZdwcV+P4FIIYHhbi\nYRFeFqoxvQA3laPOij751xtTurJZGZTNClTFjctWLLpxUISTMqU702Wp0p1zZsxS4JlICF3Nj2r1\nRHQroGVzJlj2ubQLCIGWp8CWfS4tQNPyE+fl/FmgjvOB7GldWTmnQZP8bEh5fiSLlHbA9loAQbKN\n6AWyEg9Nsz2g9IeWfJj5oOWdMwDITjKouguLdizaFfhJbcvB3oGGTw3gEjWI5yqPUZkCRHNxUDzt\n1pJFmBj16JxWwEhKnXpM+vBQhYcFihcppboQ5xTG4BgMEOQwgxxkkAMMsB8HXmZxXoKzWDThezdI\nA21sppXNCEwquIm53Ih3DHFeAsEpNnGAX7KM21nGbSMCLYHgT/yYfOZyCW+d0PX/rdPz/Iws5nAF\n7xjxfSYx9vMYDWzlQj46JBP7mShIM808RzN/wUcRpVxNGVePuGtyNGShE+SIMgYkO/CQw1pyWEkO\nq8lm2ajq4Y2XTHqIcooYJ5VxVKvGfyNOihSgqsRDFW6qlKyYdM/xWEmg2wzRtgSYSh5LfSzQcVKi\ndG+p0seliXMOSnBSgkb+OefxhTjQSndUDHVaSOAVn7cDQCwxF8u5Oy8JvshLOU6280DLRdMm3h+n\nHTRZVlR6b0Qv0IsQvdTUvMLGq8pByGNEbxII0WsDQr2A03ZT8lJvEnk28BNv5ykAlIt2jifZkkCo\nG4sOLDqV7FCBjh224w61VJanBl6xGnClKVICpJIzxhGdLZJLae3oNKHTiE4DMRqUPI1FP7trcrhq\n47qEhSmV5EJclE25IjEJEuQYQY4qoHSYGG1ks4wcVpHNSmaxdtIs8CCNtFFDKzXo9FPKBkrZSO44\n4p56qGUPD2MQ4SI+Tu4oqt0f5hX2s4m7+CLOEeqhzWSa7uW5OIUZ4HEe4Dr+gXksO+P7OzjEDn5I\nPtWs5b3kjLFPWZgEeINWXqKDbeRQRQkbKOWqCQMoSHpUB9nPIIcY5CBhTuFjvhoLy8hiGdksnnIv\nkMBApylhSOnUK4OqHoNmnBTgZj4e5uOmEjcVeKjATQVOChNjabr7isUgFm0KSLWrdtzI7VDtdgQD\nOChUer0Yp5JJLkycl4Hs5x7AspMQUQWglDPEBqgSThN6Uo8T5x1pICqOFXIVRsgFLdf2ujpmDmhz\n0DTX9IMmvc+lLlJemKblUbM1xsYNS9RFJv+gBEHpf2rmZsweK8mlsX7lEepSQCi9HZcdWPTiIBcH\nRYqLbTI+eIoUICqacQGKAhODTgWKmtFpwqBJKbwmDJpxMNum1OYrZVeJm/m4KGFLzctTrthkAd0O\nQhxPcJBjxGgni8Vks0zxSrImcQeQhU4P++lkBx28hkmIEq6ilI3ksWpcym+AFg7wKzo4xEruopob\nRpUkMb7z63b+HwVnqGM3k2m6J0I7NXCQl/gf7uKLGXfTpZNBlGP8gWM8QxUbWM5b8Y9jB6lFjC52\n08YWOtmOjyKKuIQiLiF3grnE0n8nxHEGOagMi6OEqcdHBdksJYslZLOELJZMapD5SCQw0WlBp0F5\nqBuUQSbZIoKbebiZx84agw0br8BNuTpXngKqZgrJ+FJpHKcay+3KgO5MGNWCIA4KFJAqSuMCJQsT\nrJE94/7veEnimXDS4SJ6lFMmDqj6bMfx15VDR/QC/eBYinvW4en2NFkzcufXZJB0wwaUN6gbQcAG\ngroVpx5r+Gyd1t6J7Z27MNHJZxoQipPc2tuPTisGrei0JKROMwbNGHTgYE6KUoorLDcVuCnHcZa9\nXgZ9hDhJiFOEqVXtEzhwk8XiBGezHD9Vk3r/BYIgp+lmD928QYA9ZDNfTWgXM5sl41Zgg7RzmCdp\nYgdLuZWl3IxrlBZ/hEGe5N+5kLew7O+lUiaVdvA7mjnGbXx61N67CL0c5inqqWEBV7Oct+IbZzye\nhUkfh+nkNTp5jQhdFHIhBVxAPueTNclxShYxwpwiyFFlfJxIGV9+qsmiGj+LyGIhzklI4zEWMhlU\nACppyOnKgNNpwiKEi7m4mav01Vx1XIaLMtzMxTFCctLpJgmw0o1vu3HeZQNZ3YCwzUUFI7QL1HyU\nN+1hG1NF8XAghyPn3I1pOpskCCkAFMCiB4uAAkEBGzDqUee61eshtSQmO1MqGMq3dbzk+cmsdTZV\nJIMzAxi0quWzNgzaFShqU+dl4jWpSEptiqVcKZtyXJROS3yBQKDTSZi6IWwRwc9CpbirlRJfPO4d\nbWe6jhBN9LCfbvYQYA8abgo4nwLWUch6PBMITpcZwA9wkufo4BCLeDNLuQXvGGK6dKL8kR9QyPwz\nxt/8ncZOFhZ/4Sc48XAdH8IxBu9hmABH+C111DCPi1nEjeSzeEKegTAddLGTAG/QzR6c+ClgHfmc\nRx6r8VMy7u8ejuye3LihEuYUYepwkYufhfhZoLgKPwtwTVO+JIuQMgBbFKhqsRmEUu9peJWuK7Xp\nv1JclOCiFDelOM6RIG+LIBZdiISBH5eBDO0Agl40ZtnmuHy0xFyXrzhPnbMfz/x5L07Tvjx3NlMO\nCFW1S9CrgE+Paveqdo/tfI8NIPUAKACUZ+sIyYcuAY+9YxSgMfucWj+Oe4ckAOpQ3G47TrY1smzK\noFS1y1RbSucUZuWO00h9xaCfCI1EaCDMaSLUJ9pOfPiUArYrZc8k1KwajkxiDHCSHg7SwwF6OYgD\nD3msIl8BJT9lE/79KP3UsZlaNqHhZDFvppINw9Y1G47CDPAcP2IOxVzDB8Y0oc9UmknLc3HSifIc\nP8KFhxu4Z8QddZkoQh91vMQpnseFj0XcOK7nnU5SW9Yrr+feRH/NZRV5rCKP1eSwYFTLu+P7fZMo\nLWmGTS1h6gENP5X4mI+fKnxU4qMCHxX/P3vvGSTJkd15/lJrVZWVVdVdXd3VAt0NNMQ0ZiCGIFAE\nRpFDzu5ySaM+Rd7a3tmZnVizE1/27sOd2e23tbvdtT0j70guacu7odold2aIEZzCYDAEMEBj0BCt\ndenKSi0iVeR9cA8Pj8yq7uruEpkFvDGf5+4R6IqMcH/v/54/f75t3qkHGSvCoMzTZpk2yxJILUtQ\ntaL6u7QkiBrHS0arj+NlTPZlcBMbCnBlUZeO1Km6M8ECVL1Oh7y6z4VPOhYs/ZrS9G0KF0ncJB39\nLpK4CO/6+xk60CSAT1l+mCImBVW3AFBX9uugyOIu/PLFJx0fo/dDuWSfjYQH1+V6L+rSpE2WNmu0\n5Rp3W5VV2V6lzRou/HLS6pO5d1KP73gw59Z+V5fvzv0Vz80exmAeg3kazGNwG4M7mDQJMk2QQ1LA\nihLiCN4dzmLdpUOVeYpcpMhFClygwk0iHCLFGaV4tstyb1Jlgbe5wxuscYGDPMNRvsgYpx9IqKxy\nk2/xr3iE53iOvz9U4P9uNIigCaBDmzn+DU0afJ5fIvEAwdldTFY4z1VeZYXzzPAyGR5jgs/g3QaP\nrvCMLijAn+dDDFYZ4zmCjJHgFAlObQvwv9dztMlLQ+iW4gZ3aDCPhyhhHsFPmgBTBJkiyCECTOG9\nDw/PTo4Vk6r0yvcapytKFrdZAbpS/o7hZwYXYdW2iocxvIzgGtLNGV0ZmGCDqEKP0yKnOToKjjq0\nHXrcy+MyMD6hAS1LxydxkVB9DxqvteegqdF9QwKekuTFTXhB3eciKF9EQnsJCe3F6DylIdQkrgdM\n9DZoZFKjTZYOWcnXNb7muCbW4UflBEvjJa0sGY+yasakZTMYO+csalOmwaJWFjBYoMECDRZxE9AE\n4xQBaW0GmcbHyK5YIWL79W2KXKHEZUpcocw1/CSVIklymjgn8Gwj2GxQYpFzzPMjVvmIDGc4xE9x\nkM89sJehi8l5vsc7fINZfotjPL1tz/sp3Z26dPmA7/Nj/ooX+BVO8vwD/1sGReZ5i9u8Tp7rTPI0\nh3ieCZ56aA+UTi0qlLhCgY+VgdDBIM4J4jwi+QkiHNyVWBdx9t2aBFC3e4ypOwAEOCBlhuCifYAA\nk3gGzDjuUKEjQVRL7oq2jV3dEM7jIa7J9zQeRiUfw8uovCb4IBi920FdjB4gVaXLmnSa2M4SwUsO\nx0qXxgb4wcIUOo+rupskPtfpvQVN2e6XtQeM94Ah8cD2j7J+wHAi6s2oK224Njk6sgjQY7XXabOu\n9YsAPY+aHNZE0SfGmLrmITmQnoIuJi1yNFiiybLkSzRUWaSLqQRagAMEOagJuoN42b2Dhbt0aZCl\nwk3KXKfMNcpco8oCIcZ7FMVxfNvszepikucGi7zLEu9SYp4MZ5jiOQ7yDP6HXJZY4zav8ydAl5f5\nT0nuQPzKp3RvWuM23+F3STHBc/xDUg8ZjG1Q4A5vMs+brHOJUR5hkrNMcpY4U9tuWDTIUeKqMiBK\nXKFJnihHiHGUKEeJcYwYRx4qZu9+SSydlTSjSzfAhMzxENLkzSR+yQNM4GcCL8mBXC7r0tH0Q1bq\ni6wEVOt9hrULHx5GJbAalfURWR/R+lN4GN03IEunLk3prLGAVK/jxgJatgMHPKRdfzNcy3PDQCYG\nHQoS8OS1klO8rdqigFsO2hE1aO22PrjT0hW7+2u590OWC73JKk1WaLBCU5YGy7K+iocIASb6BFSA\nA/iZvKc7fSfGig2OblPlFhVuSqB0AzdeJfyF4D9GlCN4diCgXSxEL7LKB6zyESt8QIAokzzNJGcZ\n49FtyZe0wg3e5ZuscJ3P8fM8ykv7In5pIxoW2dKmyU/4Du/zHY7wBJ/jF4hvQz6lFnVWOM8S51ji\nHAAZzpDhccY5Q4TMQ/+NjahNlTI3pKEhDI4KNxEJMY9oZZoIh/HvATgRG0Ryyqs9N/d9np5NSkNO\nGHVdWvgZx8+4lFnjsmQIyLpnwOOQROxqWeohAa4EoBIGuui360I/efGQ0oDUSB/3kpJ1Ufabc8Oi\nuy3PDeZe9l0kgd5FfJQAQUUNAFl9+Z6+POJQx6QcUE7u4xBBnlIDywJFg7YsdjcyadAkS5NVWqzR\nZE2BILus4SaoBIklWBI8g58JKXT2NjaqQ4Ma81SZp8odWW5T4TYeAkSYJsphoswwwc8Q5ch9Zdy+\nXxLbv2+R5SJrXGSVD3HjJcMZJvgMT/BbRLdJqXXpssAlzvFN8izxFF/mi/zOfQchf0o7Q178fJav\n8jg/w/t8h6/zv3KYx3mSLzDG4QdWyj5CTPEsUzwrQfkCq3zIEud4n3+DlyAZHiPNKdKcIs7BbfFS\ne4nI4PEzqs8yTsrcoMJNSlxikW9T5TbgIsI0EQ45SpgDuHdIGbtw4WcUP6PEeJw0AWaYddzToSa9\n4isSTK1Q4bwyDpus0KWDn4ySeX7GJM/gYww/Y/hI79jv2MrvFEt5cfxbOFpHgKyqZuTnJcgSvMW8\n7C84dKGboAaiko66W7WTjiIC34fXYHtoT5PL5foK8M8BD/B73W73n/Vc3/GUA2Lpy5CAR8RF2fWS\nBoYKEhwVFSAyqeAmJj9uQvvwSVUXwWcpVRd8OBOCdahLEJSlRVZyvb1GiywdavhIS2FgCYGMJiiE\nkNjJIxS2/psa1FmixgJVFqgxr+pNcoQ4QIQpKZSniHCYCNP4d2HnX50c61whx1WyXCLHVcKkSXOS\nNKfISMt/O8dSiTUu8xYX+TvceHiKL3KS5/F8aiMNNDWo8RGv8SFz+Ahykuc5yXNEtnF5S6TWvcMq\nH5PlIlku0qLKKI8wyklGOc4Ix7d8Bt7DPEeTvPT03qbKHWrcoco8dVYJMUaYg4SZIsxBIpKHGN8z\nIKJTmwothwFpFUuGrtIih4eYAlB+DUz5GMVPWgKs4Vwas3Zi9wKpXoeD7ZCwdG4NjwzJsXWuBaji\nsi5CdTzqHhHas1vvaccCwV0ulwe4BHwBWAB+DPxat9u9oN2zJdAkjgupSK9PiQ4lR10AoZICRKa8\nbtXBJV+s/pIT2kdJbPCRrBir4U7UZdKgxTotcrRYp8m6bOslS5N1aSGl5SROq8ns5Gm5rj8Y1oCw\nVnPUWaTOMjWWJEhapMYiLYoEmSDCASVkhaA9SJCJHdsu3fuMdXIUuEGeG+S4So6rdGgxynFSHJdA\n6ST+HYjRKrPOTc5zhbfJs8QJPscjPM84M0MJ7j/J1MVkiatc5Edc5xwZZjjBMxzhCUI7sCO0Tp51\nLilQn+c6fqKMSACVYoYUR3ccSFlk0qImjSDdAKqxgEGWACOEOaBKiAlCTBLmAD7iAzPeRWbyvGaM\nWh77rCaT12ixjpuABqZGZX0EH6M9ZWQgQOPDUJeW1O+9ToyNnB7FHj3vVnrb1vFxrS+uXYs7rrmJ\nblmn7SRoeh74n7vd7ldk+38E6Ha7/7t2Tzfb/b/k+moJkzImJX44d5VnZ4N0ZNukipuo9qP7f7zz\nBSX2BIHuBonz2Iq0ZFyUmHg5VdqqLoCSSVNOsP5J5leTT0xID9GBESoWdTFpkMNglTrL1FmRXJQ3\n5y7w9OxBQkxK4ThBSBOaQdK7Cnw7tCizQIGbFLgtgdJ1AJLMkGJGKZzt9iJZJLae3+Am57nJeark\nmeYMx/ks05z5RHuVhiWmaSvUosENfsI13mWeC4xwgMM8wQxPMsLBHRtbZRYl8L9GnusUuImXEClm\nSDJDksMkOUyUyV0xSiwyaWOwogwmy4ASRtQSXTpSTkwQYryP+3riJwdhrFjB67bBa3n9c5rRm6NF\nljYF3ISkfE9psj6ldICXEdlOydirwTB+H5a60jTt9DhObGBV0vpKWtvCGDXcRPowhlhpsrmXgyRc\nP7djMU0HQe7xFDQPPNt7U5tV6aY8oh4uyVUmmdUefOsocNjIpCWBObqnAAAgAElEQVTBT6GH5/va\nLXJ0KOMhglcOfH0yhDneB5AGEQjp1KZGnRUM1jBYleDI4qLfR5QQ4wQZJ8Q4UY4wxnOEmKDJZV7m\ny7v+3CYdKixT5DYl5ilymyK3qLBChAwJqThO8HOkmCHE6I59hy5dCiyzwEXmucgClwgRZ4YneIlf\nZ5xj+zaw+5NMPgI8wrM8wrN0aLHAZW7yPt/g/8Skw0FOMcUpDnKa+DZltHfhJs4UcaY4IuN9RJad\nFfLcoMBNbvE65/lj6uSIM0WCaRIcIs4hEkwTYWxH5Lkbr/Ikb0QtKg6Dq84Kec5LObNKhwYhMlLO\nZFhgnXnqBMnI/jG2M2XIVsiFCy8JvCQIcfSu9wqDukSbnAJVlhFd5ZJmWOelQW3gJYmPlNQnSaVX\nnFz0e4kPrCfLhQsXYdyE8TF53/+9vZqlr1yVlDNHANcFTCp3/XceFjRtyU31P/wnVzly5AiQJ5lM\n8tRTT/GV2f8SEEgfUGh/0Nvfm3uVDlV+avYx2hSZm3uNDhWemZ2iTYE35s7TpszZ2ShtCrw1dwuT\nJs/OTuMlyXtzdTxEeWH2CbykeG/OwEOa2dlfwkeKN+Y+xkOEl2e/cI/neXrP34dIPPkNmhR5ZvYY\nBllem3udJgUen43TYI235i7RpcOzs6cJkuGDuRJ+UszO/jRBxvnx3HX8JHl59kvq3y/2/D1919pO\n/J42Dc7OHqfEPN+b+w411jg+G6TCMlfm6kTIMDv7IpM8zfrcJCOM8crsF9V/v0aV2dn0tj7fi7M/\nTZY7/NXcn5NjgbFZF248ZOdgjEP8yuw/JcoIc3NzXGKBydkTO/Z+hrFt0aA8z3a0Pfi4PrcGHOC3\nZn+NIqv85dyf8B5/QXq2i48gq3MdRjjA12Z/mREmeW3uB9v296NM8M7cRWCS2dlfA+C7c69SZZXj\ns5OUuMOrc39NhVVOzcaJcYCrcwZh0rwy+yXiHOTduct48O/Y+3pj7p0Nrj+mye+/oUKBU7Mz1FnB\n5HVenfsLHp+NYrDKW3OXcBPgudlTBBnj/FwRP0lemv1pgozx9txV/CR5ZfYruHDt+njQv2eIo/K6\n/T167//bue/SocznZx+lRZ7X5l6jTZlnZmPUuCz1VYWzsyGpr+ZxE+DZ2SP4SHJuriL11ZN4SfLW\nnEgsOjv7Ej4SvDH3IR6ivKzJw918H/fTduHh9bn3NrgeBDLMzc1x8+ZN7kUPuzz3HPC/aMtz/xNg\n6sHgg3r2nIkhEXuJNkWt9Lbt0qIImNIqSOIlIRF6UqL5hLyWkm3RP+ieoF4S7uIaBus0WKdBlgbr\nsm3VszTI4sZPkDGCjBEgTZC0bGcU9w5A0HybBlVWKLNEhSVKLFKWpUWVGAeIM0WMg8Q5KOsHtiXL\n8r1IHGWRZ5UbrHKTFW6wyg1ijDLBcSY5xiQniDO25+/xUxpM6tIlxyJLXGWZqyxxlQZVxjnKODNk\nmCHDEcK7FJfUpEqZBUqylJmnxDwVVgmSJMYBYkxKfoAoE0TIbEt6jYchkZKgKL3ilmc8i8EaDckN\nskCXAGkCjBIkLWXfKIGe4h2AjTL3Q11MOpTl6ocool7U2kXa5B260YVPect6i0+G0XiJyz6buxnM\nRNQ7GdPkRQSCvwIsAm+zxUDwuW1YSzZp0pZuNQsAdShr4Kcs+0o9AKmMSF0f1z6gVWKbfnwvSdwE\nh1ZxmXRokqchXbuNvrKuroFLCoURKRgsQWAJhzECjOyKUNjKWBG7cSpUWJbgSPAKy5RZokGJKBmi\nTBLVhHWMA4QZ2bWlYbEFPEeW26xxmyy3WOEm0CXDETLMMM4M4xwluMunv+8X2g7Zsh+oRpFlrrHC\nTQXI/YQYZ4Y004wxTZppIiR27ZlMOlRZpcyiNF4WqLBChSVqrBNihCgTxJggwjhRJmQZx7cDmbwf\ndKy0qSoj0jIgG8rIzCmD04VHys2UBqZGCJDCz4isj+AnMbQbkoSRXd3E2VCQelh3SFg6uYgLrwJQ\nHqWP40oPe1Rdvx7DQ2xHlxF3LE9Tt9ttu1yu/wp4FZFy4P/WAdO9yKSFSCFfluBH53a/DYYsgFSW\nwKcjX2bMwa3iJ0OYE44+G+Huj8DxDk2aFGiSl4DIyS2Q1CBPmwo+4trEHcEvd6KkeFzrH0wLqUWN\nKqtUWZN8hYrkVVYBlICNMMEIJ5jmBWJMEmJ0VwNWQSQvzLHIuoycyHKHLHfw4CXNIdJMc5LP89P8\nBrFdOg5mM+rQpkieEkUaGDRo4MVLlBhxkiT26MT5YaIuXbKsUJUxEdb7cuEmQoQEI3h3MUA/TIKj\nnOUoZ+XzmRRZZYWbZLnNT/g2a9zWxuMUI0yRZookEzuymcCNR3qY+mNSTNpUWaPMojJ4slykwjIV\nVvDgk0AqQ4RxWcaIkCFCZle8whZ5iRAlQpTpTe8RyX+rDoO0wTpNclS4QUPJ5nVNNltgyuJJ/KTw\nk5J9SfwkByruSMRkReXJDRvHmm1EImVBfUMwZQGtBssaJig59L8bvwRQNpDyyuLEBDGNRyWP4HrA\n8b0rGcEvd/97CYIqDkBk0sJLFI/6MXHV9mp9vS/Aqg+z12czMmlJEFSUxQJExR5eoEmBDg38JOWE\nSmn1EVkf0a4NrjVj0qFBkRpZqqxRY40qWckFSOrSIayEpOBRJTwz+PdoGbRDiwIr5Fh0lDLrJMkw\nypQqu23Z62RiUiBHlhWyrJJjjTzr5FmnSpkYSeIkCBLCT4A2LSqUKbBOlDgv8iVO8Oi+m3MPS11M\nzvEWb/M6bVokZHLUrgz5FGkDK5QoECVOijQjjJJmnDTjjDFOdI+2youl4Rxr3CbHAlnmyTFPSY7d\nEQ6SYpIRDjDCQRKM7brxYT1ngyIVaSBVWVX1GmvUyOIlSISMlBFpyccIM0aYUQL3cZDvbpNJW8n6\nhloNyCtZL4zgnNIJ4igYW67386QqPhJ78s12kgTgqvWsMNkOl/4+y+Fi4ZAqboI9QEpgjySfJ+P6\nhb09RmWt+82eB4tKb09oYAfxdpDI01GhKeOhbF5y9DXlOnGTIh0M/DJWqnfw68WaMIMQL3Qv6mJi\nUKTOOjWy1FiXJauKQR4/UcJK2KWlsEsrgOTf46MLDCoUWCHPEnmWybNMgSXK5Igz2qNgDuyYtX4v\nEoqwzCpLrLGseJYVwkSlss4wwhgpRkkxSoLkpoK1S5fLfMT3+SaTHOKr/PKuekwGmQzq/Dl/RJMG\nr/DzHOLIpmNUnD2QJ886OdbIskqWFdZYxsQkzTgZJhiTJcMk4T1aom3TJM9SnyFQpUCCMVJMkmSC\nFBOyPo5/D73TlowRICrbZ3TVyNLGIMyolDFpwowSklzURwkMUJ6nzUic51nRQJXToG5Ig7pFgSYl\nWpTwEsZHQuqUhKwntXrccV3olf27G7crF4ptJ44obcoEOEDCdfbTs+celjoYtChLsFPqqZfU4LTr\nRdpU8BLFR9wxOO16ogcgJfAOWdB4izp1chsUAYzq5DAo4COsCSohuEJKgAm+WRDobo6VJgZFVimy\nSoEViqxQkMWkQ5JxqSwmlcJIkNmzvEh1aqyxLMHRsqq7cCnFK7hQxIGHWJZu0uDf8yeYmPwS/zGe\nAbVed2u8NDD4Y/41BznMl/jaQ1nzVSoK2K6ypL6lD58CUdZ3TDP+UN/xYUj4Q3TDQfAiK/gJqfmR\nIEOScRJkSDCGdwACfts0HIZajXV+OPd3nJ4dVQZdmwYhRggxImXVyIZlN5cCH5YEyCr3GOqWsd5r\nwIt6BwMfMXzEpf6Ky3pCq/dei+MZgO+8HfTp2XOSRI6LGi3KqrQpS5Bj9ZV6uKhDFx8JOThijoES\nYIQoR3rAUQIf0YFdDrsbiR0kVerkqZPHkKWuSg6DHHXydDEJ9QgXcUzIKdkeJURqz3fFWCTSo5Up\nsUaRNclXKbFGgVVaGMQZI0mGBBkmOc5pXiDJOKE9tEIN6tIrsaKA0RorNGkwxrgCSKd4nDHGieyA\nV85PgF/kN/k6v8+3+Xf8LP9wW//9YSITk7/gj5ngIF/m7z/0uxYRMsc5wnHVJ448KbImPYV3uME5\n/o41VogQVd9deKgmGWUM/w4rcy9+Gf90yNEvliALysAosMwSl+XcyhIiRoIMccYkT6v2bm148BKQ\nO2PtuJssGV7Szp5r09CMPtv4W+cKddaV/PPgI8QIQVJSzqUIkZJtm3sHYDXFhVsZ5Vslk7bmBCj2\nOAaKVJnX9KTtLHDjlWArpnRlP+8vngE/nF6nPfM0PSiZtGlTpSVdaYJX5AesOMCQ1RbXxX0eQniJ\n4pfxU/0fM46PqAQ+9rXdTni23SSCEusYFGQpSp6X9Tx1da0ghYKY/EIAJJUgsMBRkBS+ARzsDWqU\nWadEVvESa5Jn8eBRAlsIcatkiOzh8TFdutSoyGWbVRl7JIqBQZqMjIGxPQ6JPXjeBga/z//BM7zI\nWZ7b1b89KPS3fINF7vDr/Oe7Hi8iYtPWNQAteI41IsQYk7FS1jJsmnGCe7h0ZmJSYV16cLOUWKWo\nGS0uXMRJy/mYJk6aGGlijBInzaAdMG3t1BXGY16CrLwmQ20js4spZWhSydAgSYIkZD0h20m8+0DH\niBWZUg+g0h0SlZ4+UUyaeIkoPWzr5pjUx3pfVNZFyI+PyLY7J3Ys5cAW/7gDNHVoykAtC/hUJaip\n9vRbfTowqmDSUJH6PvXi9Je50Uu2P8R+Cojr0KJJGYMiDYoOLuoFrV7EhZuANklDJAmoujWZxUQe\nVPez2G9RpkyOMutUJNdLh44UvqPEGCVGmgRjxKRADuzA1uX7oQ5t8qyzzhrrrCqelTsAdWVn8b0A\nR3ejdVb5Q/4lv8pvc+AuO4j2I13kA77Nv+d3+G/3LOZoI9ID/dck2LbGlQ8/aTKMkmGUMVkyJEix\nl5nkRYB3lRJZiqxRloaNmMtZSqzjJyjn8ShRRlRdtFMEBzikoeUwVAsSXBX6ilM+i2LL6oTqt7if\n2L7SZSatHidH2eHw6G3r/W1qeAj24IGoxAkRrS/iwA72tUjfbsQ9B02vdX9TgaMuXbxE+HCuyudm\nj6qHtlCmt+fH9CLLYXLj3S+1MWhQUsWQLk+DEg2K2rUiBiXaGASIq9I7wSwrxmoPuiUjBGiNCjkq\n5GXJ8cbcjzg2O06Zdark8REkxghRJTydgnQQhKg4/7tIjiw51siRZZ01cqxRpECcJGnGGJFFgKMM\n4QF49q3SRT7gO/wV/xn/NZEdOIT4QWknY5qGESyK3GAlCaBWJEgXQL1GhRSjchymHTy6xxsvrGev\nUXIYRRVVz1EhR4c2UUaIkpJ8hJisR0gRY2TTIPVBia0VKwGGAlACTJW0dlHqAFFvUsVHmCBxAiQ0\nPZAgQEzK/LhDP+yXeKNessJuegGVzW1HTL9TRvS58Cjc8Rj/hFHXU3sb03SW/01DdH5cuPAwx+e1\nteT9RNYEaFKmQVlxu16S7ZLWLgE4BrkoYgJEOK4mhTVR/EO0w8GkQ40iFQpUyVOVXLQLVMhTJY8b\njxR0tgAcZZqneZmotCwHxV1v0qFIQW7bz8pdUVlyZCmwTogwKdKMSkU0zVFGSJMivS92n53icRa5\nw1/wR/w6/2hgA8O3iwzqfJ0/YJafHRrABMjlrwRxEsxwwnGtRVMB+3Wy3OEG7/NjcqzRoiXH66hj\np2WKUeIkdkX2uHARIUGEBBObnMvWxJAe55w0uHIscY0KP1bGlwuIkiJCSvIkEVIscpVVjhAhSYj4\nnnndXLjwEcJHaMMcVr0kEhVXlAGtG9UVlljnssMAb8h4Iz8xaVjH8BMjQFxxuy+m6oO64qCTC7fy\nMj3IIrS1rCgcO1WCpO/+94Ytpmk3SbzMJk3KcoBWZL2/3VB9oi0ywdqDUB+M9kBNqHaA+FAM0F4y\n6VCnLEFQgRpFWS9Sk31VihhUCBJVwipKUqunlEDzD5g3zKBOnnUKrFMgR54cBZnbqESRCFGpSNLS\nQk8rxbLTQbmDQCYmX+f/IU6Kn+UX99wzsVNk0uH/4/dJkvrEBMBbYz9Hlrw0Bqy5UKdGghQpRknK\n8Z5kRPFBGvsiBqmuDLOKNNoqmvFWpUCDGiHiEqQJ+RSW9bDqSxAiNjTGqkWWId8LpGyDvrSBcV/G\nhUvTYVFHXe8T/VHZjg69V2vPl+f2GjR1aNGiSpOKLFWNl7V2fwHk4IiowSEGjD5Y+gfRMAIgi6xl\nsjolahSpUZKlqEqVEjUpaAIy33GvcAkrYJQkTHwg1+AbGBTIUSRPkTwFco7SpasUga4URG6j3c3w\nPKjUwOAP+Zc8zlme52f2+nG2nbp0+RZ/Tp4cv8pv73uP2lZIpODNSRCVU2AqT44iOXz4STJCgpSa\nO1Y9QQrfACrVDm3N6HMafrox2KQuDcAE4b4Sl0XUfUOcgFk4DRoaiKo4Vk9sJ0FFta0iduxZ+tDS\nnTqPasVu+4gMhJ4YSNB0P2vJJh3a1GlSleBnc24BoJZWN2nLD2N/NF/Px9qsDDP40cnExKBCnTI1\nStRlqVGWvKR4jRJefIR6BIBdTyiBEdqFgMQHjTvoYlKhQok8RQrymJCCAkhF8nToSGGe0oT6iBL0\noSGJoWtJO7JJU/6/4G06uBz/Ay9ewoSIEiFCaFuWJEoU+AP+BS/yJZ7imYf/QQ9B2x2nMsffcJUL\n/Bb/xbbkRzIxKVOhTBWDBm06tGljYuLChRs3Xjz48eHDR4AAQQKECQ4FYOvSpUrFYXyI+ZajQJ4S\nefwESMg5ZxXruJ44ScK7lLT3QcaK0EYlCaqKmxiWog1dJUdteRonREy2Y6o/QHjoPFgbkR2esrEj\notd5oTs0WtTwEFC62af0tl6PqHov364UD3uep6mNQYuaBDc1WtRY4QOu0dT6qjQlt+6xwFAbAy/B\nTV+UjwgRxkn1vFwLGHmHGO1vRiYmDarUKatiUKYugZEARRXJyzSo4SfkmKghYoSJE+do36QehGR0\ndyORb6lGiYJWio52mSJBQg5hnGSEwxxTgnqQQVGLFkXKlKlQksWqV6hSoUaFKlVqmJgECBDAr4of\nv/SEddX/TLq0aVOTi6oGDUZIyDD0NIc5yFGmidznDsM4SX6Df8Qf869x4+EJnt6Zl7LL9Drf5QLn\n+Y8eEDAVKXGVW9xhkRXWWKdAkTJhQsSIECSAFy8+vGocdqSZ2KRFizYNGtQwMDAIECBCiAhhIoSJ\nEiZGlDgx4kRlPUqC2J4BLBcu+SQxpjjcd91pzAiDJkeWG1xRc7dFS8ZhpSRPymLXA3sk1z14Vbzl\nvaiJ0WeU1imTZ5lFLqt2nRItGgSJSkAVU8AqpPUFVX90YEGWHp8VYey+/luRiLPXQeIEWGWW+4CW\ndX+HJj7C+IjgIyxxQLinrmOHsKP4idxzaXFXPE1/1v11PAR6Hs5+eLsddgAhUQ/jJTQQLrudIpFM\n0pCeoAqGLAIIWX1lB7dBkD2JghIEBYlKLvqtvmF5hyYdKpQpU6RMibIEQ2VKCgyVKeLF1ydIY7Ke\nkMLWOyBJNXupRYsCZQoUNbgnfmmRMgVKNGgS30AhxogQI0qUsPQWhfHjeyAF0qbNOgV1oMcN5rnJ\nHTKkOcNJnuQ06S0oB4vWWObf8ru8wBd4mufv+3kGhbp0+T7f4jIf8pv8Y6LEt/zfLrHKe3zIBa5S\npMwxDjPNQQ6QYZQUCeL4HsBeNeliYFClRoWa5FXKVCWoLiteoUqYkAz/jsliz5AUCRLE8Q6oTGjS\nkF7hjY2iMkW6dOWvS2q/Mq790jgRogMJLDaiDm0MKhqQ6jV+LfkvSpumhNBRCahsHnT0RVWfV27E\n2q9k0lGOF6dDpr/PdtTUVF+UCb7IPxvM5bn9Sh3aNKhiqFLR2hWtVB3cg1cO7Ig28GNqwPdPisFY\n+70fMjGpUVGAyOa6uC9So0aYCDHiSvjF+kR/fKCCTXUyMSlRkeJdLAoW1SKhEPsGDSXu+21ooQIi\ne+QF69DhOrf5gIu8zwUyjPIcn+FJHt1SDFeOLP+W3+UMn+ElvjQ0SsuiNm2+yZ+RZYVf5Xe2lIvJ\noMG7fMBbvEeNOk/xGI9zkkMc2JMdWWIJsCrNCxuI677YEmXChNWYS5HQxqMwOyJEcA+okm1gKDBV\n7itCltSpEyGqyZC4ND3ijnp4QL02dyMLZFkGttO4dvY3pPENKP3h5Fbd2Q7Ispe5vPaCBhI0DUp+\njI1IrMk2aVCjQVU6x6sK/Fj9dl8FgxoGFYn+w32DMNA3OHWAFBmYY0YehFo05cJRmapaQCpri0mi\nXaNCUB6oIPwmlhCLOazESI9XbJDGilgWNBz2r2UPW6BIV0ZORSSUUZI40QFWRjq16XCBK/wd51hi\nlZd4juc5S+AeLuwqZf6UPyRKjF/gV3b1rLSHGS9livw5f0SEKH+PX7snMK9S4zXe5E3e4xiHeZ6z\nHGdmKL7tRuC+17fToOEA8zbASqp6cECNFxDAQhhntlFm10u8O/ceB2bTNGkqcOX05wr/rl2PDaz3\neivUonFPA96qW7qtiYGfoNRhuj4Lqz4BrsIOoBUkPLR6bc9jmvaCxJJXgyY1CXJqPSDIrjcVKLLv\n6YIaAEFtEFjtCAdlf1gbRBH8BIfOYtmImjSoKud/RQGijfpMOlKoOIXNJFOOhaXIHsZZbJUMGtIq\nL26wKCCKG7dSJFb46kmOOpTLftlV58XD45zicU6xyArf5Ye8xpu8wk/xHJ/Z9HdGiPGb/GO+zb/j\n9/jn/AN+gwM955UNGl3jIn/N13ma53mBV+46jw0a/IC3+CE/5nFO8d/w24yQ3MWnfXhy41bjFaY2\nvKdJS41/yyi4wyIfcFH2lfBo/06/1zRBkhi+PVKeHrwqfnEjOsgcs8zSprWhobfMAhUuUpXAq0YF\nLz6HnIsQQ5wd2M/36ndvRj4C+AgQu48ldxNT6Uh79cR2HJTIYnBL06+2c8GNh4DUmwGlP8Oq7iek\n9GhAhulYbc8DhhzsNA3s8pwT9NQVt0BOQ/X39tVkuy4/WIQAIcdH6f14fgdCFvVBD4S+X+rQliHD\nVgixXre55RHqYh0iagkBIQiimkCwBMZeBWTeD3XpYtDQnPk2t8FRmQ4mSRUl4VQCltdokC3r3aAF\nlvkW32eVdb7CLE/x2F09Kx/xE17lLznL87zAFwYOUBrU+R7f4BoX+Rq/6jg0t5fadHiTc3yPH3KC\nGb7MS4xuopA/CaR7XvMUNzQ4ipTx49cij+zYKmuJOk5sKOaVkCN16VEvb2BMWnXRFnmmbTkqQvcj\nqi+suAjtH7aQi7uRpcN1MLWxw6Jff1uOC6G7LVAVUvrbr3R6SNPpdr+f0EPFb+358lylWyDLHZoS\nzFhgp6lAT10DR3V5n4EHn/ZSQo4XooMh63qgB8F6Bkw4bxeJZG0NCXyq1KlSpUJdtu1SUUCpRVPb\nbyMmaXSDSWyBo0GNF9qI2nQoU9EiGcp99SJl3LgcgtuKkkqSUMI7NAQAcFDoKjf5Bn+LicnP8won\nmNn03hJFXuUvWWOZL/I1jnN6z99zF5PzvMsc3+I4j/IKX930YNsuXd7nAt/i+6RJ8VVe4QDju/zE\nw0kiBUFNGSY6mLINFzE/9XBuC0zZC/dRokTxDIknX+S7M6QxahmnZWpSXlt1y2g1qBMgqMlpnTvr\nISnBBzHf1XZRm1afQ8RykjgBV73PudKkjkkHv8QNAjM4sURvv58gGWYIEtl70HSr+wHv8x186gFD\nfDB3lednn9Ee2PmjfAT3LejRyZ5YVerUqEtec/Cq43qNKm482mQSm5AjRNVm5EjPZAtuU/6K3aSO\nBEOvzn2bx2af6NkhZNfr1IkS6RGwzjIsluxWSVhxHZmJyey77saFT+b62cn4GgEmPpZgYoSf42UO\nMrHp/Ve5wHf4ayJEeYkvM83RbR+X94pp6mJymY/5Ad/Gi48v8rUNt8bbz2yDw6/yMo9scpzHdlFb\n+64dTEyEjHbLTFse3Pjw4MOzbwJ0LU+w0wtcVnPcateoESGshXFvHNod3WLw8iDFS5qYUuZbKwHV\nnnp/nwuXQweECBMmrPSA3Sd4iDB+AkOnCx6ERNqOuga26spxs5Hzpkmd5/klxpje+5imac4wzRlH\nX4s5ntxHZ89Z3p86NQzqEuDYxdCAkF2qGNRlIkl9YNvWRIYJNfBtUBQe2mBEARKbWri47ejuzUVk\nYBAhwirzVDFVdNQ0Bxx7YSKEh055iINIGyrDlpVYQt9eUO/xzRo0adCmRZs2Hak8vRtuGxfjUdzr\nx0sQPxG5HzNBmFFijJEgQ5xJUsQfcKeeCxdP8RhnOMWbnOP3+H85xjRf4kUyG5zhdJzTHOURzvMu\n/4E/JUyYz/ICp3l8x8d0A4MPOcfb/BAfPl7kSzzCY5v+7lss8CpzrJPny1tYhrwXdemSp8ISBVYo\nyCNnyxSoUtUWKdp0ZIYtD26Z7NKFSDlg0qWDSZsOLdp4cOPHRxAfQYf97FdBCL17pKx9uaEB2n7u\nwkWIICGCTNwlt09H5njq3XN7m0XVLlOhRp0w4b5UHXFijmikFu1d/JV3Jzdu5fHfCgnDqbmpgZ1l\nVbZtY7xOlQ6mBFZhgj2AyuoLbVC8AxpjtBl58KqUPNtJAxvTtFfUpkWdutwNV1cgSK/bfTV1b506\nHjzawBMwxx6AoQ0HaIjw0HvULCBkh4hXVQJGe7XfTsooDhC19qJstFclOpRgSGzzNtQhMyIvsJ5n\n3c6+UsHAj1dLXWfvtbQi68IbOJNFluitexlEEKfIp29tQi5QY50yqxRZo8gSeQCmGGWGcY4xwQkm\niTzAjrcGTd7gx7zGWzzCDK/wwqZK0MTkCh/zDm+wzIIMN3+CwxzbtrinJg1ucIWPeZ+rXGCGEzzN\n5znC8U0VwE3u8F1+yDJrvMJP8QxPPdAGhiI1rrDIFZa4ySrzrBPExwQpxkmQJs6o2i9qR1gGtqic\nxC7fDg2Zf9kC1pbdbIfk9u+TqmDQpI2dQlFPbyu4dQ5AQiw5lNgAACAASURBVEqyYdgRaFGHDhvl\nsLKNtColypSp4sHdF6lpR3La7SiRe+4aHQZq0XIY8gZ1yZ2Gfq8DoEtX6bEgIaXne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vjY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\nNqI0CYIqKAgjYXlzvR+gkXh5PzV5E9iR2MCP+tT4TCZ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hVaStCOsiM02CIAiCIAgrID5N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\nCYIgCIIgrMD/D+Opl5UJxOt2AAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#lo visualizamos\n", "plt.figure('lineas de corriente', figsize=(10,10))\n", "\n", "plt.contour(XX, YY, psi, np.linspace(-5,5,50))\n", "plt.grid()\n", "plt.gca().set_aspect(1)\n", "#plt.xlim(-8, 8)\n", "#plt.ylim(-3, 3)" ] }, { "cell_type": "code", "execution_count": 43, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 43, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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N2brVmAcftBvF0qXlNR4SCRg73MBcDRRDMoOD2Iyl7mnlSmN27rSb87JlGAsWqMalEKZP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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#ponemos el cilindro encima\n", "plt.figure('flujo cilindro', figsize=(10,10))\n", "\n", "plt.contour(XX, YY, psi, np.linspace(-5,5,50), colors=['blue', 'blue'])\n", "plt.grid()\n", "plt.gca().set_aspect(1)\n", "\n", "p = plt.Polygon(list(zip(Xc, Yc)), color=\"#cccccc\", zorder=3)\n", "plt.gca().add_patch(p)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 5. Flujo alrededor del perfil" ] }, { "cell_type": "code", "execution_count": 44, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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0gXc8QGce3OhZ8uRGzxhzs4dyGkjcJk3eJU3coUVmgUUJuSroOgz0OxgjeCts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\n7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WKjsGN8fncj0ksfE6GjjkoYkTSaJbLpeobUCp0zM5trEtWiwMl11yIqt91obTYSZsRc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\nvHQuXdX9+l7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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(\"flujo perfil\", figsize=(12,12))\n", "\n", "plt.contour(XX_tau, YY_tau, psi, np.linspace(-5,5,50))\n", "\n", "plt.xlim(-8,8)\n", "plt.ylim(-3,3)\n", "plt.grid()\n", "plt.gca().set_aspect(1)" ] }, { "cell_type": "code", "execution_count": 45, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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jN3oE18mRHI8H93D9ukq5kHnFlZW4Bzv+4lWrUn3187dgUBWE2bE+SLozrxdFYXwMBKzO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\n+//6rwZ1dBAtWuSmK1cgZNPZiUXF5s1uKigwqLKS6JlnIHjR3W1QXp4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+ASKD3m98A7mK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2cTNTWZBPzmFshIC4WwOMmcv0bcgH6/dqApip22brVdfW5pQUQ805L9FQUTDtPkMIfkqVPYVS5Y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\nRJZ9kWW5PjOjRX6tQD5ffQY55EZr7c41e3cSlEsbuiLtoVJxI6R6tIFlM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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#Ahora ponemos el perfil encima\n", "plt.figure(\"flujo perfil\", figsize=(12,12))\n", "\n", "plt.contour(XX_tau, YY_tau, psi, np.linspace(-5, 5, 50), colors=['blue', 'blue'])\n", "\n", "p = plt.Polygon(list(zip(Xp, Yp)), color=\"#cccccc\", zorder=10)\n", "plt.gca().add_patch(p)\n", "\n", "plt.xlim(-8,8)\n", "plt.ylim(-3,3)\n", "plt.grid()\n", "plt.gca().set_aspect(1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 6. Interact" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "__Ahora es un buen momento para jugar con todos los parámetros del problema. \n", "~~¡Prueba a cambiarlos y ejecuta el notebook entero!~~__ \n", "\n", "__Vamos a usar un `interact`, ¿no?__\n", "\n", "Tenemos que crear una función que haga todas las tareas: reciba los argumentos y pinte para llamar a interact con ella. No tenemos más que cortar y pegar." ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": false }, "outputs": [], "source": [ "def transformacion_geometrica(a, landa, delta, N_perfil=100):\n", " #punto del plano complejo\n", " t0 = a * (-landa + delta * 1j)\n", " #valor del radio de la circunferencia\n", " R = a * np.sqrt((1 + landa)**2 + delta**2)\n", " #se barre un ángulo de 0 a 2 pi\n", " theta = np.linspace(0, 2*np.pi, N_perfil)\n", " #se crean las coordenadas del los puntos\n", " #de la circunferencia\n", " Xc = - a * landa + R * np.cos(theta)\n", " Yc = a * delta + R * np.sin(theta)\n", " #se crean las coordenadas del los puntos\n", " #del perfil\n", " Puntos_perfil = transf_yukovski(a, Xc+Yc*1j)\n", " Xp, Yp = np.real(Puntos_perfil) , np.imag(Puntos_perfil)\n", " \n", " #Se pintan la cirunferencia y el perfil\n", " fig, ax = plt.subplots(1,2)\n", " fig.set_size_inches(15,15)\n", " p_c = plt.Polygon(list(zip(Xc, Yc)), color=\"#cccccc\", zorder=1)\n", " ax[0].add_patch(p_c)\n", " ax[0].plot(Xc,Yc)\n", " ax[0].set_aspect(1)\n", " ax[0].set_xlim(-3, 3)\n", " ax[0].set_ylim(-2,2)\n", " ax[0].grid()\n", " \n", " p_p = plt.Polygon(list(zip(Xp, Yp)), color=\"#cccccc\", zorder=1)\n", " ax[1].add_patch(p_p)\n", " ax[1].plot(Xp,Yp)\n", " ax[1].set_aspect(1)\n", "\n", " ax[1].set_xlim(-3, 3)\n", " ax[1].set_ylim(-2,2)\n", " ax[1].grid()" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ ":0: FutureWarning: IPython widgets are experimental and may change in the future.\n" ] } ], "source": [ "from IPython.html.widgets import interact" ] }, { "cell_type": "code", "execution_count": 47, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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V6ybe6dIlxrHHbuCOO5by1FMfMnr0Rm6+Gfr3j3H66bXMmxcmGlX9lPapB04S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\nL1Zx8MGbvA4r5cJhQ1VViOX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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "w = interact(transformacion_geometrica, landa=(-1.,1, 0.01), delta=(-1.,1,0.01), \n", " a=(0,2.,0.1), N_perfil=(4, 200) )" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": false }, "outputs": [], "source": [ "def flujo_perfil_circunferencia(landa, delta, alfa, U=1, N_malla = 100):\n", " N_perfil=100\n", " a=1\n", " #punto del plano complejo\n", " t0 = a * (-landa + delta * 1j)\n", " #valor del radio de la circunferencia\n", " R = a * np.sqrt((1 + landa)**2 + delta**2)\n", "\n", " #se barre un ángulo de 0 a 2 pi\n", " theta = np.linspace(0, 2*np.pi, N_perfil)\n", " #se crean las coordenadas del los puntos\n", " #de la circunferencia\n", " Xc = - a * landa + R * np.cos(theta)\n", " Yc = a * delta + R * np.sin(theta)\n", " \n", " #se crean las coordenadas del los puntos\n", " #del perfil\n", " Puntos_perfil = transf_yukovski(a, Xc+Yc*1j)\n", " Xp, Yp = np.real(Puntos_perfil) , np.imag(Puntos_perfil)\n", " \n", " #se crea la malla donde se va pintar la función de corriente\n", "\n", " # Dirección radial\n", " N_R = 50 # Número de puntos en la dirección radial\n", " R_min = R\n", " R_max = 10\n", "\n", " # Dirección tangencial\n", " N_T = 180 # Número de puntos en la dirección tangencial\n", "\n", " R_ = np.linspace(R_min, R_max, N_R)\n", " T_ = np.linspace(0, 2*np.pi , N_T)\n", "\n", " # El menos en la XX es para que el borde de ataque del perfil esté en la izquierda\n", " XX = - (R_ * np.cos(T_).reshape((-1, 1)) - np.real(t0))\n", " YY = R_ * np.sin(T_).reshape((-1, 1)) + np.imag(t0)\n", " \n", " tt = XX + YY * 1j\n", " \n", " alfa = np.deg2rad(alfa)\n", " # Circulación que hay que añadir al cilindro para\n", " # que se cumpla la hipótesis de Kutta en el perfil\n", " T = 4 * np.pi * a * U * (delta + (1+landa) * alfa)\n", " #Potencial complejo\n", " f = U * ( (tt - t0) * np.exp(-alfa *1j) + R**2 / (tt - t0) * np.exp(alfa * 1j) )\n", " f += 1j * T / (2* np.pi) * np.log(tt - t0)\n", " #Función de corriente\n", " psi = np.imag(f) \n", "\n", " Puntos_plano_tau = transf_yukovski(a, tt)\n", " XX_tau, YY_tau = np.real(Puntos_plano_tau) , np.imag(Puntos_plano_tau)\n", " \n", " #Se pinta\n", " fig, ax = plt.subplots(1,2)\n", " #lineas de corriente\n", " fig.set_size_inches(15,15)\n", " \n", " ax[0].contour(XX, YY, psi, np.linspace(-10,10,50), colors = ['blue', 'blue'])\n", " ax[0].grid()\n", " ax[0].set_aspect(1)\n", " p = plt.Polygon(list(zip(Xc, Yc)), color=\"#cccccc\", zorder=10)\n", " ax[0].add_patch(p)\n", " ax[0].set_xlim(-5, 5)\n", " ax[0].set_ylim(-2,2)\n", " \n", " ax[1].contour(XX_tau, YY_tau, psi, np.linspace(-10,10,50), colors = ['blue', 'blue'])\n", " ax[1].grid()\n", " ax[1].set_aspect(1)\n", " p = plt.Polygon(list(zip(Xp, Yp)), color=\"#cccccc\", zorder=10)\n", " ax[1].add_patch(p)\n", " ax[1].set_xlim(-5, 5)\n", " ax[1].set_ylim(-2,2)" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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at+fRrh3HR4MGxWMboIJAgZE2SZJWA3gFQKwQ4qEeVpIkaQDsBhB67792CCFm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\nR9dey945r71GD5rmP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p07E6apa9ZkFknMj/YKI42NzJ9XW8sE7Nu2cSft1lsZ7bSqKn3k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\nIUKMlDYhhBBCCCGECDH/B1Yhk95vxvGYAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "p = interact(flujo_perfil_circunferencia, landa=(0.,1), delta=(0.,1), alfa=(0, 30), U=(0,10))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 7. Pintemos un poco más" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Con los datos que ya hemos manejado, sin mucho más esfuerzo, podemos fácilmente pintar la velocidad y la presión del aire alrededor del perfil." ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "collapsed": true }, "outputs": [], "source": [ "#Velocidad conjugada\n", "dfdt = U * ( 1 * np.exp(-alfa * 1j) - R**2 / (tt - t0)**2 * np.exp(alfa * 1j) )\n", "dfdt += 1j * T / (2*np.pi) * 1 / (tt - t0)\n", "#coeficiente de presion\n", "cp = 1 - np.abs(dfdt)**2 / U**2" ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "collapsed": true }, "outputs": [], "source": [ "cmap = plt.cm.RdBu" ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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S4IxhzQ/61eUlS4Af/rDRZ+BUKz2BTouqwlgEP5xGuCs2OmYtUjUqpqvRbose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\nA+N2F+Wj2WJNPayxhxSdL1fH2EP228i9SvUZj4G27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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#Se pinta\n", "fig, ax = plt.subplots(1,3)\n", "#lineas de corriente\n", "fig.set_size_inches(15,15)\n", "ax[0].contour(XX, YY, psi, np.linspace(-10,10,50), colors = ['blue', 'blue'])\n", "ax[0].grid()\n", "ax[0].set_aspect(1)\n", "p = plt.Polygon(list(zip(Xc, Yc)), color=\"#cccccc\", zorder=10)\n", "ax[0].add_patch(p)\n", "#Campo de velocidades\n", "ax[1].contourf(XX, YY, np.abs(dfdt), 200, cmap=cmap)\n", "p = plt.Polygon(list(zip(Xc, Yc)), color=\"#cccccc\", zorder=10)\n", "ax[1].set_title('campo de velocidades')\n", "ax[1].add_patch(p)\n", "ax[1].set_aspect(1)\n", "ax[1].grid()\n", "#campo de presiones\n", "ax[2].contourf(XX, YY, cp, 200, cmap=cmap)\n", "p = plt.Polygon(list(zip(Xc, Yc)), color=\"#cccccc\", zorder=10)\n", "ax[2].set_title('coeficiente de presión')\n", "ax[2].add_patch(p)\n", "ax[2].set_aspect(1)\n", "ax[2].grid()" ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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mfbCY+84DyIBiQZnpn9JTFpaxtICs12BsYCD8fhqN/KxXaUBZUYEMKBaUFQrI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\npKLGtyhiqOfaUFgz1lweuePWYEQZIWVQlxgbR7Qpi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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#Se pinta\n", "fig, ax = plt.subplots(1,3)\n", "#lineas de corriente\n", "fig.set_size_inches(15,15)\n", "ax[0].contour(XX_tau, YY_tau, psi, np.linspace(-10,10,50), colors = ['blue', 'blue'])\n", "ax[0].grid()\n", "ax[0].set_aspect(1)\n", "p = plt.Polygon(list(zip(Xp, Yp)), color=\"#cccccc\", zorder=10)\n", "ax[0].add_patch(p)\n", "#Campo de velocidades\n", "ax[1].contourf(XX_tau, YY_tau, np.abs(dfdt), 200, cmap=cmap)\n", "p = plt.Polygon(list(zip(Xp, Yp)), color=\"#cccccc\", zorder=10)\n", "ax[1].set_title('campo de velocidades')\n", "ax[1].add_patch(p)\n", "ax[1].set_aspect(1)\n", "ax[1].grid()\n", "#campo de presiones\n", "ax[2].contourf(XX_tau, YY_tau, cp, 200, cmap=cmap)\n", "p = plt.Polygon(list(zip(Xp, Yp)), color=\"#cccccc\", zorder=10)\n", "ax[2].set_title('coeficiente de presión')\n", "ax[2].add_patch(p)\n", "ax[2].set_aspect(1)\n", "ax[2].grid()" ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def cp_perfil_circunferencia(landa, delta, alfa, U=1, N_malla = 100):\n", " N_perfil=100\n", " a=1\n", " #punto del plano complejo\n", " t0 = a * (-landa + delta * 1j)\n", " #valor del radio de la circunferencia\n", " R = a * np.sqrt((1 + landa)**2 + delta**2)\n", "\n", " #se barre un ángulo de 0 a 2 pi\n", " theta = np.linspace(0, 2*np.pi, N_perfil)\n", " #se crean las coordenadas del los puntos\n", " #de la circunferencia\n", " Xc = - a * landa + R * np.cos(theta)\n", " Yc = a * delta + R * np.sin(theta)\n", " \n", " #se crean las coordenadas del los puntos\n", " #del perfil\n", " Puntos_perfil = transf_yukovski(a, Xc+Yc*1j)\n", " Xp, Yp = np.real(Puntos_perfil) , np.imag(Puntos_perfil)\n", " \n", " #se crea la malla donde se va pintar la función de corriente\n", "\n", " # Dirección radial\n", " N_R = 50 # Número de puntos en la dirección radial\n", " R_min = R\n", " R_max = 10\n", "\n", " # Dirección tangencial\n", " N_T = 180 # Número de puntos en la dirección tangencial\n", "\n", " R_ = np.linspace(R_min, R_max, N_R)\n", " T_ = np.linspace(0, 2*np.pi, N_T)\n", "\n", " # El menos en la XX es para que el borde de ataque del perfil esté en la izquierda\n", " XX = - (R_ * np.cos(T_).reshape((-1, 1)) - np.real(t0))\n", " YY = R_ * np.sin(T_).reshape((-1, 1)) + np.imag(t0)\n", " \n", " tt = XX + YY * 1j\n", " \n", " alfa = np.deg2rad(alfa)\n", " # Circulación que hay que añadir al cilindro para\n", " # que se cumpla la hipótesis de Kutta en el perfil\n", " T = 4 * np.pi * a * U * (delta + (1+landa) * alfa)\n", " \n", " #Velocidad conjugada\n", " dfdt = U * ( 1 * np.exp(-alfa * 1j) - R**2 / (tt - t0)**2 * np.exp(alfa * 1j) )\n", " dfdt = dfdt + 1j * T / (2*np.pi) * 1 / (tt - t0)\n", " #coeficiente de presion\n", " cp = 1 - np.abs(dfdt)**2 / U**2\n", "\n", " Puntos_plano_tau = transf_yukovski(a, tt)\n", " XX_tau, YY_tau = np.real(Puntos_plano_tau) , np.imag(Puntos_plano_tau)\n", " \n", " #Se pinta\n", " fig, ax = plt.subplots(1,2)\n", " \n", " #coeficiente de presión\n", " fig.set_size_inches(15,15)\n", " \n", " ax[0].contourf(XX, YY, cp, 200, cmap=cmap)\n", " ax[0].grid()\n", " ax[0].set_aspect(1)\n", " p = plt.Polygon(list(zip(Xc, Yc)), color=\"#cccccc\", zorder=10)\n", " ax[0].add_patch(p)\n", " ax[0].set_xlim(-5, 5)\n", " ax[0].set_ylim(-3,3)\n", " \n", " ax[1].contourf(XX_tau, YY_tau, cp, 200, cmap=cmap)\n", " ax[1].grid()\n", " ax[1].set_aspect(1)\n", " p = plt.Polygon(list(zip(Xp, Yp)), color=\"#cccccc\", zorder=10)\n", " ax[1].add_patch(p)\n", " ax[1].set_xlim(-5, 5)\n", " ax[1].set_ylim(-3,3)" ] }, { "cell_type": "code", "execution_count": 28, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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p3mSuHxJ9tExQwafsM+j6HpSpY4zxwvdx3chYHzliVbj2+cUhF2wN0CRGLjKf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\n1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N8+tYOf/MIG3r7Fxf+H0ZQwk8Eb26yXbOqaZSotzu5Hb5LJvO1V9zG69vbcCqg6cDlk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\nomh704ZCtM+8JOmy4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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "interact(cp_perfil_circunferencia, landa=(0.,1), delta=(0.,1), alfa=(0, 30), U=(0,10))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "---" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "_En esta clase hemos reafirmado nuestros conocimientos de NumPy, matplotlib y Python, general (funciones, bucles, condicionales...) aplicándolos a un ejemplo muy aeronáutico_" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Si te ha gustado esta clase:\n", "\n", "Tweet\n", "\n", "\n", "---" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "####

¡Síguenos en Twitter!" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "###### Follow @AeroPython " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\"Licencia
Curso AeroPython por Juan Luis Cano Rodriguez y Alejandro Sáez Mollejo se distribuye bajo una Licencia Creative Commons Atribución 4.0 Internacional." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "---\n", "_Las siguientes celdas contienen configuración del Notebook_\n", "\n", "_Para visualizar y utlizar los enlaces a Twitter el notebook debe ejecutarse como [seguro](http://ipython.org/ipython-doc/dev/notebook/security.html)_\n", "\n", " File > Trusted Notebook" ] }, { "cell_type": "code", "execution_count": 29, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "Follow @AeroPython\n", "" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%%html\n", "Follow @AeroPython\n", "" ] }, { "cell_type": "code", "execution_count": 30, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "/* This template is inspired in the one used by Lorena Barba\n", "in the numerical-mooc repository: https://github.com/numerical-mooc/numerical-mooc\n", "We thank her work and hope you also enjoy the look of the notobooks with this style */\n", "\n", "\n", "\n", "El estilo se ha aplicado =)\n", "\n", "\n", "\n" ], "text/plain": [ "" ] }, "execution_count": 30, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Esta celda da el estilo al notebook\n", "from IPython.core.display import HTML\n", "css_file = '../static/styles/style.css'\n", "HTML(open(css_file, \"r\").read())" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.4.3" } }, "nbformat": 4, "nbformat_minor": 0 }