{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Números complejos con Python" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "*Esta notebook fue creada originalmente como un blog post por [Raúl E. López Briega](http://relopezbriega.com.ar/) en [Mi blog sobre Python](http://relopezbriega.github.io). El contenido esta bajo la licencia BSD.*" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\"Números" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Introducción\n", "\n", "Si bien el conjunto de los [números reales](https://es.wikipedia.org/wiki/N%C3%BAmero_real) $\\mathbb{R}$, parece contener todos los números que podríamos llegar a necesitar. Existe todavía una dificultad, el hecho de que sólo se pueden tomar raíces cuadradas de los números positivos (o cero) y no de los negativos. Desde el punto de vista matemático resultaría conveniente poder extraer raíces cuadradas de números negativos tanto como de números positivos. Por tal motivo, que tal si \"inventamos\" una raíz cuadrada para el número -1 y la expresamos con el símbolo \"$i$\", de modo que tenemos \n", "\n", "$$i^2 = -1$$\n", "\n", "La cantidad $i$ no puede ser, por supuesto, un número real puesto que el producto de un número real por sí mismo es siempre positivo (o cero, si el propio número es el cero). Por esta razón se ha aplicado convencionalmente el término \"imaginario\" a los números cuyos cuadrados son negativos. Sin embargo, es importante resaltar el hecho de que estos [números imaginarios](https://es.wikipedia.org/wiki/N%C3%BAmero_imaginario) no son menos reales que los [números reales](https://es.wikipedia.org/wiki/N%C3%BAmero_real) a los que estamos acostumbrados.\n", "\n", "Cuando estos [números imaginarios](https://es.wikipedia.org/wiki/N%C3%BAmero_imaginario) se combinan con los [números reales](https://es.wikipedia.org/wiki/N%C3%BAmero_real) obtenemos lo que se conoce como [números complejos](https://es.wikipedia.org/wiki/N%C3%BAmero_complejo); de esta forma, los [números complejos](https://es.wikipedia.org/wiki/N%C3%BAmero_complejo) vienen a completar a los [números reales](https://es.wikipedia.org/wiki/N%C3%BAmero_real) y nos permiten realizar todo tipo de operaciones algebraicas. \n", "\n", "## ¿Qué es un número complejo?\n", "\n", "Los [números complejos](https://es.wikipedia.org/wiki/N%C3%BAmero_complejo) incluyen todas las raíces de los [polinomios](https://es.wikipedia.org/wiki/Polinomio), a diferencia de lo que pasaba cuando solo teníamos a los [números reales](https://es.wikipedia.org/wiki/N%C3%BAmero_real). Todo [número complejo](https://es.wikipedia.org/wiki/N%C3%BAmero_complejo) puede representarse como la suma de un [número real](https://es.wikipedia.org/wiki/N%C3%BAmero_real) y un [número imaginario](https://es.wikipedia.org/wiki/N%C3%BAmero_imaginario), el cual es un múltiplo real de la unidad imaginaria, que se indica con la letra $i$. O sea, que los [números complejos](https://es.wikipedia.org/wiki/N%C3%BAmero_complejo) tienen la forma\n", "\n", "$$a + bi$$\n", "\n", "donde a y b son números reales llamados *parte real* y *parte imaginaria* , respectivamente, del [número complejo](https://es.wikipedia.org/wiki/N%C3%BAmero_complejo). Las reglas para sumar y multiplicar tales números se siguen de las reglas ordinarias del álgebra, con la regla añadida de que $ i^2 = -1$. Veamos las distintas operaciones matemáticas que podemos hacer con estos números.\n", "\n", "## Operaciones con números complejos\n", "\n", "Las operaciones que podemos realizar con los [números complejos](https://es.wikipedia.org/wiki/N%C3%BAmero_complejo) son las siguientes:\n", "\n", "### Suma\n", "Para sumar dos [números complejos](https://es.wikipedia.org/wiki/N%C3%BAmero_complejo) simplemente sumamos cada elemento en forma separada. Es decir que:\n", "\n", "$$(a+bi) + (c+di) = (a+c) + (b+d)i$$\n", "\n", "Así, por ejemplo $(2 + 2i) + (1 + 5i) = 3 + 7i$.\n", "\n", "### Producto por escalar\n", "Para calcular el producto escalar de un [número complejo](https://es.wikipedia.org/wiki/N%C3%BAmero_complejo), multiplicamos al escalar por cada una de sus partes, la real y la imaginaria. Es decir que:\n", "\n", "$$r(a+bi) = (ra) + (rb)i$$\n", "\n", "Así, por ejemplo $ 3(2 + 3i) = 6 + 9i$.\n", "\n", "### Multiplicación\n", "Para multiplicar dos [números complejos](https://es.wikipedia.org/wiki/N%C3%BAmero_complejo), debemos realizar su multiplicación [binomial](https://es.wikipedia.org/wiki/Binomio). Es decir que:\n", "\n", "$$(a+bi)(c+di) = ac + adi + bci + bdi^2$$\n", "\n", "En este punto, debemos recordad que $i^2$ es igual a -1; lo que nos facilita la solución del cálculo de la multiplicación. También existe una formula más simple para obtener el resultado de la multiplicación de dos [números complejos](https://es.wikipedia.org/wiki/N%C3%BAmero_complejo), que es:\n", "\n", "$$(a+bi)(c+di) = (ac-bd) + (ad+bc)i$$\n", "\n", "Así, por ejemplo $ (3 + 2i)(2 + 6i) = (3\\times2 - 2\\times6) + (3\\times6 + 2\\times2)i = -6 + 22i$.\n", "\n", "### Igualdad\n", "Dos [números complejos](https://es.wikipedia.org/wiki/N%C3%BAmero_complejo) van a ser iguales si y solo si sus partes *reales* e *imaginarias* son iguales. Es decir que:\n", "\n", "$$(a + bi) = (c + di) \\iff a = c \\wedge b = d$$\n", "\n", "Así, por ejemplo $ (3 + 2i) = (3 + 2i)$, ya que 3 = 3 y 2 = 2.\n", "\n", "### Resta\n", "La resta de dos [números complejos](https://es.wikipedia.org/wiki/N%C3%BAmero_complejo), funciona de forma similar a la suma.\n", "\n", "$$(a+bi) - (c+di) = (a-c) + (b-d)i$$\n", "\n", "Así, por ejemplo $(2 + 2i) - (1 + 5i) = 1 -3i$.\n", "\n", "### Conjugado\n", "El conjugado de un [número complejo](https://es.wikipedia.org/wiki/N%C3%BAmero_complejo) se obtiene cambiando el signo de su componente imaginario. Por lo tanto, el conjugado de un [número complejo](https://es.wikipedia.org/wiki/N%C3%BAmero_complejo)\n", "\n", "$z = a + bi$, es $\\overline{z} = a - bi$. \n", "\n", "Para expresar que estamos buscando el conjugado, escribimos una línea sobre el [número complejo](https://es.wikipedia.org/wiki/N%C3%BAmero_complejo). Así, por ejemplo\n", "\n", "$$ \\overline{ 2 + 3i} = 2 - 3i$$\n", "\n", "### División\n", "Para dividir dos [números complejos](https://es.wikipedia.org/wiki/N%C3%BAmero_complejo), debemos utilizar el conjugado; ya que para realizar la división debemos multiplicar tanto el *divisor* como el *dividendo* por el conjugado del *divisor*.\n", "Así, por ejemplo si quisiéramos dividir: \n", "\n", "$$\\frac{2 + 3i}{4 - 5i}$$\n", "\n", "Debemos realizar el siguiente cálculo:\n", "\n", "$$\\frac{2 + 3i}{4 - 5i}\\times\\frac{4 + 5i}{4 + 5i}$$\n", "\n", "y teniendo en cuenta que la multiplicación de un [número complejo](https://es.wikipedia.org/wiki/N%C3%BAmero_complejo) por su conjugado, responde a la formula:\n", "\n", "$$(a + bi)(a - bi) = a^2 + b^2$$\n", "\n", "Podemos resolver la división de la siguiente forma:\n", "\n", "$$\\frac{2 + 3i}{4 - 5i}\\times\\frac{4 + 5i}{4 + 5i} = \\frac{8 + 10i + 12i + 15i^2}{16 + 25} = \\frac{-7 + 22i}{41}$$\n", "\n", "Lo que nos lleva al resultado final:\n", "\n", "$$ = \\frac{-7}{41} + \\frac{22}{41}i$$\n", "\n", "Para simplificar el procedimiento, y no tener que realizar tantos cálculos, podríamos utilizar la siguiente formula:\n", "\n", "$$\\frac{(a + bi)}{(c + di)} = {(ac+bd) + (bc-ad)i \\over c^2+d^2} = \\left({ac + bd \\over c^2 + d^2} + {(bc - ad)i \\over c^2 + d^2}\\right)$$\n", "\n", "### Valor absoluto o módulo de un número complejo\n", "El [valor absoluto](https://es.wikipedia.org/wiki/Valor_absoluto), módulo o *magnitud* de un [número complejo](https://es.wikipedia.org/wiki/N%C3%BAmero_complejo) viene dado por la siguiente expresión:\n", "\n", "$$ |a + bi| = \\sqrt{a^2 + b^2} $$\n", "\n", "Así, por ejemplo $|4 + 3i| = \\sqrt{16 + 9} = 5$.\n", "\n", "\n", "## Plano de los números complejos o Diagrama de Argand\n", "\n", "El [plano de Argand](https://es.wikipedia.org/wiki/Plano_complejo) es un plano euclídeo ordinario con coordenadas cartesianas estándar $x$ e $y$ , donde $x$ indica la distancia horizontal (positiva hacia la derecha y negativa hacia la izquierda) y donde $y$ indica la distancia vertical (positiva hacia arriba y negativa hacia abajo). El número complejo $z = x + yi$ viene representado entonces por el punto del plano de Argand cuyas coordenadas son $( x , y )$.\n", "\n", "\"Plano\n", "\n", "Nótese que 0 (considerado como un número complejo) viene representado por el origen de coordenadas, y 1 viene representado por un punto en el eje x. El [plano de Argand](https://es.wikipedia.org/wiki/Plano_complejo) proporciona simplemente un modo de organizar nuestra familia de [números complejos](https://es.wikipedia.org/wiki/N%C3%BAmero_complejo) en una imagen geométricamente útil.\n", "Las operaciones algebraicas básicas de la suma y multiplicación de [números complejos](https://es.wikipedia.org/wiki/N%C3%BAmero_complejo) encuentran ahora una forma geométrica clara. Consideremos por ejemplo la suma. Supongamos que $u$ y $v$ son dos [números complejos](https://es.wikipedia.org/wiki/N%C3%BAmero_complejo) representados en el plano de Argand de acuerdo con el esquema anterior. Entonces su suma $u + v$ viene representada como la suma vectorial de los dos puntos; es decir, el punto $u + v$ está en el lugar que completa el paralelogramo formado por $u, v$ y el origen 0.\n", "\n", "\"Suma\n", "\n", "## Números complejos en Python\n", "\n", "[Python](http://python.org/) trae soporte por defecto para los [números complejos](https://es.wikipedia.org/wiki/N%C3%BAmero_complejo), dónde la parte *imaginaria* va a estar representada por la letra `j` en lugar de utilizar la `i` como en la notación matemática. Veamos algunos ejemplos de las cosas que podemos hacer con ellos." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "(4+3j)" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Creando un número complejo\n", "c1 = 4 + 3j\n", "c1" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "complex" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Verificando el tipo de dato\n", "type(c1)" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "(2-3j)" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Creando un número complejo con complex\n", "c2 = complex(2, -3)\n", "c2" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "(3+7j)" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# sumando dos números complejos\n", "c1 = 2 + 2j\n", "c2 = 1 + 5j\n", "c1 + c2" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "(1-3j)" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Restando dos números complejos\n", "c1 - c2" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "(6+9j)" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Producto escalar\n", "c1 = 2 + 3j\n", "3 * c1" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "(-6+22j)" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Multiplicando dos números complejos\n", "c1 = 3 + 2j\n", "c2 = 2 + 6j\n", "c1 * c2" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "True" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Igualdad ente números complejos\n", "c2 = 3 + 2j\n", "c1 == c2" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "(2-3j)" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Conjugado de un número complejo\n", "c1 = 2 + 3j\n", "c1.conjugate()" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "(-0-1j)" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# División de números complejos\n", "c1 = 1 + 1j\n", "c2 = -1 + 1j\n", "c1 / c2" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "5.0" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Valor absoluto o magnitud\n", "c1 = 4 + 3j\n", "abs(c1)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "4.0" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Parte real\n", "c1.real" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "3.0" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Parte imaginaria\n", "c1.imag" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# Grafico en plano de argand\n", "# Graficos embebidos\n", "%matplotlib inline\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def move_spines():\n", " \"\"\"Crea la figura de pyplot y los ejes. Mueve las lineas de la izquierda y de abajo\n", " para que se intersecten con el origen. Elimina las lineas de la derecha y la de arriba.\n", " Devuelve los ejes.\"\"\"\n", " fix, ax = plt.subplots()\n", " for spine in [\"left\", \"bottom\"]:\n", " ax.spines[spine].set_position(\"zero\")\n", " \n", " for spine in [\"right\", \"top\"]:\n", " ax.spines[spine].set_color(\"none\")\n", " \n", " return ax\n", "\n", "ax = move_spines()\n", "ax.set_xlim(-5, 5)\n", "ax.set_ylim(-5, 5)\n", "ax.grid()\n", "ax.scatter(c1.real, c1.imag)\n", "plt.title(\"Plano de Argand\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Aplicaciones de los números complejos\n", "\n", "Dado que los [números complejos](https://es.wikipedia.org/wiki/N%C3%BAmero_complejo) proporcionan un sistema para encontrar las raíces de [polinomios](https://es.wikipedia.org/wiki/Polinomio) y los [polinomios](https://es.wikipedia.org/wiki/Polinomio) se utilizan como modelos teóricos en diversos campos, los [números complejos](https://es.wikipedia.org/wiki/N%C3%BAmero_complejo) gozan de un gran importancia en varias áreas especializadas. Entre estas áreas especializadas se encuentran la ingeniería, la ingeniería eléctrica y la [mecánica cuántica](https://es.wikipedia.org/wiki/Mec%C3%A1nica_cu%C3%A1ntica). Algunos temas en los que se utilizan [números complejos](https://es.wikipedia.org/wiki/N%C3%BAmero_complejo) incluyen la investigación de la corriente eléctrica, longitud de onda, el flujo de líquido en relación a los obstáculos, el análisis de la tensión en las vigas, el movimiento de los amortiguadores en automóviles, el estudio de resonancia de las estructuras, el diseño de dinamos y motores eléctricos, y la manipulación de grandes matrices utilizadas en el modelado. Por ejemplo, en ingeniería electrica para el análisis de circuitos de corriente alterna, es necesario representar cantidades multidimensionales. Con el fin de realizar esta tarea, los números escalares fueron abandonados y los [números complejos](https://es.wikipedia.org/wiki/N%C3%BAmero_complejo) se utilizan para expresar las dos dimensiones de frecuencia y desplazamiento de fase. \n", "\n", "Así, por ejemplo si sabemos que el voltaje en un circuito es 45 + 10j voltios y la impedancia es de 3 + 4j ohms. Si queremos saber cual es la corriente, simplemente deberíamos resolver la ecuación $E = I \\dot Z$ donde E es la tensión, I es la corriente, y Z es la impedancia. Reemplazando los términos en la formula, obtenemos que:\n", "\n", "$$ I = \\frac{45 + 10j}{3 + 4j}$$" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "(7-6j)" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Calculando I\n", "I = (45 + 10j) / (3 + 4j)\n", "I" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Por tanto, la corriente es de 7 - 6j amps.\n", "\n", "Además de todas estas aplicaciones, los [números complejos](https://es.wikipedia.org/wiki/N%C3%BAmero_complejo) nos permiten también realizar uno de los gráficos más hermosos de las matemáticas como es el [fractal](https://es.wikipedia.org/wiki/Fractal) de [Julia](https://es.wikipedia.org/wiki/Gaston_Julia)!!." ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# importando librerías necesarias\n", "import numpy as np\n", "import numba" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# Graficando el fractal de Julia\n", "def py_julia_fractal(z_re, z_im, j):\n", " '''Crea el grafico del fractal de Julia.'''\n", " for m in range(len(z_re)):\n", " for n in range(len(z_im)):\n", " z = z_re[m] + 1j * z_im[n]\n", " for t in range(256):\n", " z = z ** 2 - 0.05 + 0.68j\n", " if np.abs(z) > 2.0:\n", " j[m, n] = t\n", " break\n", " \n", "jit_julia_fractal = numba.jit(nopython=True)(py_julia_fractal)" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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bW20VztHZ+TTvtrC5sxGEqqGYzAhNc74U1VXbQeX3917BmIz1RCSlOSeTUrQG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M70ObxpvWulb27dvL1IlDWTg1g8BNy4hM606/RR8TK1pZt3gYWcdM7DGr2ev0Y9FlY7EpRPx0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oK42DWSoJ4CN6HrnDpljUWGjRvI3dOSiaGRd7Phy683YG5tRdRqcQ8I5ZGMLxH+8gCJX73O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\nczG+Lg52VRhJt4tERQZxx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uA3vB/LF2/i2dlbmDwqmgLJhelztxPhUr9nQL3fjY2edi4O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\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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "N = 1024\n", "j = np.zeros((N, N), np.int64)\n", "z_real = np.linspace(-1.5, 1.5, N)\n", "z_imag = np.linspace(-1.5, 1.5, N)\n", "jit_julia_fractal(z_real, z_imag, j)\n", "\n", "fig, ax = plt.subplots(figsize=(8, 8))\n", "ax.imshow(j, cmap=plt.cm.RdBu_r, extent=[-1.5, 1.5, -1.5, 1.5])\n", "ax.set_xlabel(\"$\\mathrm{Re}(z)$\", fontsize=18)\n", "ax.set_ylabel(\"$\\mathrm{Im}(z)$\", fontsize=18)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "O el también famoso [conjunto de Mandelbrot](https://es.wikipedia.org/wiki/Conjunto_de_Mandelbrot)." ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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JSBL5RPB6eXKc55ZWGUJAJo60o4uU4rplPgyJ2BVFiYXbpnh/Xl9TC0zKhc2U\nYsZInbZ+vGOfTY83ZyFTwy01lxBYx6Gi+MlaD4elzCkMlCIMEnIN3Sc4itiRRBYR3sPc04uwP1y7\nxcBIhp4LvUzj6MTIJs7pf5fx+2vFxm7QVwIbvRuir6n6FD7+/nF0aF6+thHfADuGWzePGeF5f5CX\nAp090NrhoxNGabdeH53PX0wlmOvp0kL3mgi+yEtsiNDPOUbvmZjPwD9iXoloSDgSLgx5PNs594bH\nWRVXy4O5sHc28D588bKXY/QxM4phx3F57CPH8Q49LmYzOQkSHKASbMIK/E9ctI+t9XD5DQZvnFLQ\nvSJcvmASzykgYt3seSmQ4ea6n2V9XO+H8fhoghAT1U06LUxkC9sfnselJ4l67M/uhKZnQfGkOLuf\nuDQazrkL8rsaMGIihTaK2U46LXT1anXf19nUfx9uOTkJUWBmOFIR73MgQ0DyUtwvIOSU0Ag+G5ng\naIN0uXvMpGAPQOJ3jsY/yhVkUuMhPtq9Y/wdNe3O+Z2JWrFQ6uKc7eSzl2h6qMlaygqbSjJ/DbES\n4U19MLEW4p6HmRlmzI+bmfrNCeTsbuZvef/r+CAd4KwJ2lRcc61b4gg2AF1uDtoTclPgUCcc8fYD\ncCdKMtgUIorjBA4p6B6RDKQHexASvxKBVrknrU79LeQp+G5unCnKs+iUfrJoIj3pPjLbwUjoZjI3\n9cOhe+BhG1FVlC9I6Cx2ftA0hlaNs8Wd9XJL1P8O/F9CLyVO3LzOWQ+H3HQQ3r16nM++fI90uXvE\nMHmhkgggAsU8L8U9MS8iMFa5u2LuzDovHBwsdd6Sv3KUCluBU34P15/swfgCwGoGi3nVtZD00hi+\njj2O2KhhTOfSEU48w82BFGNdTilw81h38XuFuVDiqJF38SFS0N1GrptHNhEm5qnx7l1AExEXdR+k\njDnF0zz14XKqcwcL+lenXEht+/kYf6jQsVAh9UYPXi8IVD0KjRfNo9u2Pu50B8Iez/AldPV4PiEr\nwPoZVeLD9W8bvBb1cPqdBk4zpKC7hRTzyCWN8LpIjIAlwtidtfJKoNxvI/I+Mt6ZF7qyc+BuuUE0\nZTFjZDOl1L5yFZ8nzqP6lLFU/d3/xqen5CBaqOYAZf/zKodsw/ijnVTMMTJy4RhnRWfcwVKD31L5\nL98H5wQfiHo41f4YyaXiG+QaukQSacFv7l4oy/BvrJEvXPfOXO02Ym5PNWWUY+IAGeTpG8AIZ8fB\n35wfEjTQflwNAAAgAElEQVSagc6XYG58KYt051GPwbUDixFLtOudPF+IsLAbfDFKhGfAoN1s6QPW\neHA+r9qxTsB3/5i/SQvIq0hBdxlpnUcm04gYMffE4vH1Onk2ogqyr8hA9P4e8jp9MG5w/pnFOrel\nnjEUsZPEPtFtLdTIAn5zK3T+ARYlLqCaSZgxomp+7tSEVg4eSRMTF/ue6BZ0iAmPs0C5MdrNn4Vl\nnLn4dwJNIxyblwL726G3b4QdHXE08F8PjgsG/m/iIgXdJaSYRyYR4mL3RMgzce7CHotw5Y6U0+xv\npuJ4rjWMVW7PIVKoZRwz9GsoTYPqVp+NzifsB/7yIFx5Mw5LgRek7xGCDjCrc6ABjUMqEO3kdjh5\nfgaeWdHeMA7rBK8JIfCOyEr00FIPt8m4f0XdqzV0RVFqFUVZryjKGkVRVmrbMhRFWaIoSo2iKB8r\nipJms/9CRVG2KIqyWVGUU70dfGCYGewBSPxCBIh5XornVrmtmKcwOAgqh+CKeTFCnOyv1ZWdTsXc\nkXVuS97GJqpbhcEfahzsgzcqoIlsailyvqPCyJOZVMR75+hr4U2gnC/IZviASI+bAoXbb9l/BqK3\nFroKzFNV9YDNtluBJaqq/klRlFu0x7cqimIEfogI5TAAnyiKMklV1cAl6XmEmwU4JGFAuF0A7MhJ\nFjnl7qIwtO2AOxf4SbjWe+IIUOPGeUH8zJy1Wp3WBTFOAsMYXsxTEFZf85gEqt4DzFD3BPzDmaUY\nBErTYVrtBEyk06G9wRPZylat0025wTS4hWplJ+yOgoZhLt+WWveO3PCViM9o+DmQ7zBi/d5YXrcS\nsfa/2m7frCRobAPV+ectcY4vXO72V5azgRO0+88DSxGifg7wsqqqPUCtoihbgdmE9AKIdLVHFml4\n36A7iHgTFTyBwbWQXBHyZO04W1L6SavYx6q/juXRP9zD4/XXQIcCm2xM+gS873iZ0g+Thq8qplP6\nKS3YPGS70UapDOwGoDptKj1nJjJltpnCOuAxL8fnA2bGwdkPQL8RXtINfsNiGPy/56XtHejzDsCY\nXnEDqImBQ04sW8tp7YU9AfEdWIMIaPM1tt+vAjj5p++y7MBxpGztZF+CFp2+StuvGmiz2T832QP3\ne7gUm7HgH9e7Lyz0TxRF6QP+T1XVp4FcVVUbtecbsSZOFDBYvHczNFYyhJBiHllMxDc5PEHA2/Qe\ne/GehXDJutCxbBBTuiBO5dj0r0i5MY7JbKTCsIYj/QnUxJc6D9pyh0ndQsxH2i2/Gr1uqBKlcnDg\nfhlmAIrYSadWvHxPWh5Fs0MjMlqvQM8C2GCw5goWsYNabT3EiAmTVsQqPbGFaH0Pdc0OIgSHm/gc\n0gnBrwC6GWqVWwrQ+CJgLgfHAYzGPuqjDKzdPp2m1ASOqzCLCYalol0p0MngDnheRb+HC74XdW8F\nfa6qqnsVRckGliiKMmi6rKqqqijKcL4TB88ttblfpN0CjXSzRxZh6GJXFGGpeIu9mFcCFZBS3Exb\nVgKqqlBhWMMLm85nevoW+lXdUHduQj8YhWhUGNbw+IkXkr0A2q9+gSeazEx4chXn376ErznWM1G3\nOX9CzBHGZdd69K/aWublNvdjbYqVH9HHQxHkJ8JxXfBaELtxnnkLdNpkMxnYQ71dprwRE9uYQBex\nJMUdJj9tD3tbh8+mj4vuZHzONp74nzm88NFjfDD2DBpa88Rn4yxwzvZ74o64JzB84cwKYL8ec72R\nFR2z2Xd0LjFZh+gmhQEnxCpEs5hZwHc2x7ot6uFkpa/Xbg340kXilaCrqrpX+9ukKMqbCBd6o6Io\neaqqNiiKkg/s03avR2RFWhijbbNjnjdD8hEyEC5yCDMxj9ZDppsd0JzhSMxToaUjlh33dHP/a8/x\nu9/+hJY/zaGvLIn5+jf4qu149o3JgTG9GDJ2owDJ8daL6gS20fbZRHZP2konMPfPq9g/BqbsWc7+\n/CyqK8vggB62jzApjldhslVoCzPrmB+3GAWVg6RRj2Fg/fuuh27nrptup5co2knkCAk0kT1w7Bh2\nD+xrsLkPUGq3mD++YwdqDPzyAeAt4BMX30sfMkMH5/wCOBna9NZJWxKHATEZOUQK9YwBxHsOYMJI\nWmIraYmtHOpIof7AmEHnzUreT3bKPu0cZlLeL+WMrKu49ckUvn/Wd9RXjoE1cdbAuVag1sEA7b83\nB+weuxpZaFdL5T8nnskU5acsUGfw5aknUBG/lvffPQ9WacsFCsJna6sK2UnQdNjFFwQR+eePNQRf\nM027gbDSv/DJWT0WdEVREgC9qqptiqIkAqcCdwLvAJcDD2h/39IOeQd4SVGUhxEfWwmw0oux+wnp\nao8cwkjMk2LFzRc4Cn6z/NKLIb3yIAt+tIi/d/6Spx+Cn36xguoVlaRykMzk/WQm70dB5WSW8Pvf\nL2RFciYv3fogPURTjok+9Iy5AYoXQs0tRXyadgL7KUZHPzqln/4MIMP1i2q5wYQREw999Hv+eFo/\nv6iZRH+myrqMaVxwx3vcd1cXR938U1rVhZgxkkg72TbJzdH0MJEtg84ZTQ/jbcxQIyaiVGGOKxbL\n8ChI/hTaAhx/dc7ZDDRFSe5rGxifCSOl1FDNJFI4RIqNlyGaHsows5lytlBCSvwhUpwEA45lF+WY\nmPxrE+82w+6fHOKYI8vZZJiMGSOsjYVeRYSUVCDc8MOFK3iaGhCv/c0S34UdFHOSeinXXPJzXn/x\nIk545L+8Xzl/cDOZfAYbrXodxEZBl6uulKMJHyvdgu80xxsLPRd4U1EUy3leVFX1Y0VRVgGvKYpy\nBWL+dyGAqqomRVFeQ3x9eoErVTXUQhkzgz0AiU/IwL81TH1IZqKwyn1FLoP9YBZsY65WxWEyGFkT\nV8GN133DY3+Fyxau4uL7YojnCA3kU0A9J/AlK++FGTt0HOR9EmnnWNMKlp3Qwlf7RXWzlDNqqf3m\n8oFTlxZsHhyRPQK2EepPX6StnZ9ew5vboCJ/C7GniE3XvAuvOgmdP+3mv6G7fxxH9AnE/ctM52Xl\ntJPIIVLIZy/ptFDYWUdy32Gia20OPAA3HgUbvoPFATLqboxncChHPxjbzZgSyzFiokWLXGwljUZy\nyGUfabRS+sx7/OcXXcxTryCfvezV6q+22HV9TKeFckyUUkPLE+nwTAu/2QhRLEVFId+wl884SfRY\n79HimS0f13Ad3NzF9vtW1EO5wUQhdeyikJSL4MenvcwPP3wJ6nsYkp84g8Fu//SEUbCe7huUUNJU\nsd5+RxBHIK3z8CcMrHJfrY/bk4HjQLdoYLp2X7vQpp+wl8Yfj+Xld+fTm/k6ew6IWfZ1bXH0fhrN\nx+ecTDlm3lY287ufQf9jsO4y+OAN62n/UAVr75jMy/yInRTRRSzbtLB4V0TdIuYKKhWs5XQ+4NJH\nFlN1/eD9soGLU6B+Aaz95wK2UIIKTGILBezhS2U5ALMVWKlC1ZfQaVk164W49YgUKZ12W4voA14H\n6j74cJW/63cJioH5sZByGqIM+VRgGnRWiHHFrYVXjoX/ORLPjviigeMm7zXz7Rz4pA7+8DP404vQ\n2XkrJruMjXJMGLLuo6EZMmPh6j9D1W/g+wZYWg9n95cybmY11y5/ghear3Ae72B5vzzFPsOhspNy\ng4m5LONn/c9x9B/WcODyNL466hDX7TSx8zHNN28r4vsZuhzglqiHm5V+Bqqqet0GRwr6AFLMw58Q\nF3NfutXtcWaZw+A10QmIdDTtIjuG3cxiFaccdzfrv4ZWFS4vgcL/QFQNVJ0JPx4LEy6H7YvgX2a4\nIgVyp0F0Fbx4krVcKUAbydRpA3Em6tkp+8hK3j/w2IiJckxc2LeIxVFbHB5j4Ue9RezSF7KPHHLY\nx/HtX/HVRPjaLnC96n0gFV4/BzZpfb6rfgJqI3y+HpRGmJ0EX7YKl2EbgWEOgB5Or4S+drh7I1Rd\nDZTCq9eAWRPSqk+hU7skRf8G7n7Oeo75emjvncFHnEq/TW2wUmq44JXF3HeR89e/6UxY+N4DfMrJ\n4vMZLoixEdjrxj9XitXNbqGyk8LMOq6M+yuzz3uUL9+E6eppvM4FrKUC88apsFiLt7APxnMUnOey\nqK8EekbcK3TwjaDL0q+SCCGExTw3xT8tKC3MwvXzH0YI+q5oIcIGkfOc9tXV/Lzzn0Tnt/PwFqAE\nbtCu9S/sAt3dVqNtTT6cfT80zRJehkIt19uMkWTaBtaDLRa45TrlKOGlHDPlmPh57H38q190j/7W\nydBvPwV6m2sZlyiqwvQ9oHL/3U52fhbuWwS2jUfvfG5wWs0XQSgDuwKgD1bYuASqHocKBcw2g7vr\nJLj9WqAEqp4bfI43+2BG3BoWdBxmnTKdLmKJQ1SQU06Cqpuh6sGhr60AygmWexrD1YjPxbo8oALr\nHOwTj/NGYlpVuzFxdbSTgCEXqv4K/yaRbmLYvKccttkET9qupYNoDzt8KYJhmE34WeneI9unAtI6\nD2eiCUkxj4+2lmb1p5jPZPjz29drbxy6y3bGc5gkPog7jZjdMP/nYvvDNlVGLWJeoYezr7ZuN2Ii\ngSPk0Ui5ZmkfzxdcwosYMZFJM4qiDhHzTJoxYiKPBkpK7uPZbujrdS7mAM8tg65bILpJJX6tSke1\n832ftRNzcJgjGzKstRtcP/DwY9D9sOP913TBtCVbmMwmxrETIybO7niXGBOw23FdHxVIrITprGMq\nGxiTWSeeqOyEohGsWQVxUvubvZjn9g4q0VtuMPHr/qe46Z77ePlvUHUVTJy5mNP6PxiY6DHF5njb\nyiTTGIrXLVcjG2mhDwkHloQPpYh+VSFEVpKH9ag9YAYjT8ldiPMs1wqwHCGB7fHFTJ+3g6nfwV12\njTzGAOdWIkpClQ+O0AaYsn4LG6eVYLjQzFOvQ7m6EIBcR7MIjQyaGbtlDtuVkVexd3XAn5+DqkTx\n+tnxQ406CyFU2dVjDqlw73bHz52mB2rAOFd8ds0T4P1DsK1DxEI446MzobHnRS5uaGJD5lTrE1l9\n4taHSG1zlXhVFLZx0LO93GBiAtuY//dFJB1j3V72eDx/09m0vrNVoXwcJjMPIi4aOl1xp4dTXrpv\nkIIu34IwJYSscl/mjruKO252RyQKmzuaHhTNds2mifTf7KDnE/ijg6Xs3YD5O8jbBdGL4cUWuGK5\nGTUWopdC1WVwca6Zpxrh9ovhfb7FwB6+Y9aQaOxUWilgD3r62M0Ybtu4Av1SUJ+DO0cobPL1UzB7\nAizf4d+OoKFMcSqwHuKWAd3QHwXVHcMfkwgs1/bZcaOJ8c9tB4NdrIMet7rZOSIuupPiHDETiaWL\nB361kFJquO36xfS+CzHtHZyw832+MhzP9swyaNYLa38XIufddpY2HrCf1KTFQ0M4rY8HjlGuZtLV\nHp6EiJgH0hq3pQLXxNw+QMmWTJGndcsFZ3D2E21syi2n7Kb1/OWp4U/5ai+DAqXWz4GZdzHQjOUl\nzRi/6yWoOvIJX22AGVvX8B5n0k0MOlSibIKVJrKNMjbTUwT6ySOLOcCSflgyfOxcxPPUAeBpmP0q\nnDEDvh7JqgVuPgu4Fnanwd9nXTqw7l5asJnqPWXDHjs+dxuTomrYadfsXlUVuvtiAIjS9Q4qx5tJ\n86B9e+4WBeEeOR30fXmigl9xj/AMVMeIsrFjEVkI+YjvWQZDBR1EXEqjKwFyo8tKH8WCnhrsAUjc\nJgSaq8RGibzYYJGB67/aEd6qcoOJ9Nem8bhuKQsXr+cBbb32JAVm5UBCERzZDn9qcn6Odw7ApN+D\n4mBeU6WVlCpJX09pSwkN5HLQ5ndXxE4yOIDOskLv3DMvccLKQ9D4hWtLDB9+DSe+AEtTF6BqM0Ij\nJkyKCGDs6YumoTWPw53JJMW1UWhZYwfeOel79Md08fVe2Lf2Gg6TyC0n3cdjn17H6qhZ7GQc7TYN\n3ZNpG7LUErURHvgL3LwGHiSRErZYPQSaV6AgvZ5LT3+BP91XNXyEvT/jUsKYUSzow89IJaHGLMAH\nzT88JSMRYnxYAMYT8oAxI+7lMiezhJOrlrICqFpg3V50EiScK+4nvAAFTbBnmPM8dNDxdgW47gKI\n/Qes10z4PJuLfCnVTOjcTtrmI+jagaGN0yQu4Gq8wH8PwIk2jydRTY1NVFu0vmeQiFswYuLFT6/h\n9ucf5ND/QuUPH6P/Mvh3NZT98DFOedVIA3k8z+VDjrU0yDFQj/IQdADt7wIVMJEtRNMzEAinoHI0\ny8nuaRJeqHUMn3nmcq33qYjCA5HPKBX0KSPvIgkhguRiD8bauDPS8amYA9z/6yoO/jaNmHtbufVb\nYAvo6qDzl9DVA7Gb4JXfDC/mw6EAqUnAOog6tndQ85SZi8ysuAl26uGx7XDDfEhph2tj4VH78HSJ\nTzhKmw+PZRcAuygcaGJTSzFHHKzRWD6zXqJ45HZISYGlr8Hh18Tz33+nn/eVjdz6fjU7ziiiiWxa\nSaeVVIqoJZ4OxlLHzI7VoBc+ts8fhVNuW4IJI+fwDjP2r+eDmsns+V4lV/3l71x77Z/FyafjoyCJ\n0RMZP0oFPUQu0pIRUIDvBf5l0xOEaz1U8MQyn+hku03Z0cqnvmYa6zmr5Ke8VLGA+ooCDOwZuIhP\nzzJzwU/h7mc9GbRIvap6FngWfr/TzKGcRBL72sWTG+EDG9Py4TfFnKXFs5eSuMBRcyF2I8yYsZak\nhMPM6v+OqFX7+Nfsawf2aUPUFki2KbVjYDel1GDcWc7MpWa4E6qWiuc+0+LneubBdNYPFBWyxYiJ\n2P5u9JdB66uQkA0zvzYz82MzxMCjf4AWVqOPWs0nXfNYp5suKsVZSACOOPmnXLbSMxjaZSbyCKGr\nVqCQgXDhQYCt8iidCHILNTy1zNOcbM+33jXXi8IyLaa3SKaNckxUMwkQF+GeMfCoh2JuT9QjkLlA\nE/PNUHXn0H2kmPuP2UBODLAWkj/s4asHzVx1OtzzFvyo7zVe051PPzq2MYFurNUMyzERQzd6+ojp\n74Zmq5iDkMlrfgnqxh7mTF7JMUdWcm8OVN0LzIKuWaDGgdIFrINiHWyphmXHQixw1FT45YuxPHLx\nr/iauTzfa2Tbu5PRahX5kHJGQ3DcKBR0SegTQDHPThIdnUIRH6+ZO6KlPR0ShYCbMQ7qIw5wyxOi\nHri37H8LsosQaVEmuDQa/i0zjwLGSmDlB3DLWvioEVr6hZgDvK7fxjnqO7zJuQOtWi2MYydndH9I\n7tcH0O+Ew/cNPu8BoOMd+Ox5OPMpYDOM10HV78Tzd1wOdQrU/BfmHoTd/WJZ/CfRUPQ5vDf3JP7I\nbP7LMXxSfwrsdSBJRoZ3vWcmQnO7R+9LpDHKBF1a56FNCgN9Jf1JsCPVXUHBczF3Zp07KB/W0JpP\nemILJowYMbGD8ZRSQ8kuM3F1QDcsHAv37fJwLBpJncBL0NEMj2917kGV+JcHnESOJ51upvSDwbX3\njZh4RzHzdxfP+e1P4eoYOGLT2OXO52EcInBvmbbtWAWe64HM82Bu4x56iaLeEhlX74EkudytMPJT\n2EaRoPuhu5XEhwTAKg+nspHeFDB0tn7uBHO9te56J3EUPLuEP/9MPHeeHnb5oGbqc3th7j54I0Bt\nSiXuMemXcBgTzVppwUyaMR428yXgTsn7xx3UXrePwj/5Dmj6G1Q3gJpjpnSfTVvc1H44qHnM1rvz\nH0hgVNVyd71HsySQKPhdzC011cOFypF3cRvDyLu0k0gcnSg/NfJzbRn1jT5Y5U0rTY1GpJiHKtfH\nArvBeNhMFvvJpJm87kZQ4brbffc6JXqo+gg6b4JztypUXQfLm+Dc9rc5lq8wGjahlHRZhdydxiwu\n/75DpCiVnxhFFrok9PDjjyucBNwWb8XcUUMLEE3FXaCY7SioPCNTx0YNf+mCrKuh4wa4+YPN9BaD\n7hDovoaqu3z3OpecD90VYEosZxsTyHl4H+WLVhJ1eScP/Xkhe5/r4LIblrJSPcF3LzrKGCWCLtfO\nQ4ts0KKpfU64Cjn4xjKPcbDNUestJ8TSxbwHV7DUB0ORhA/7AXpgw69hqpbF5otgSFuqXoXffgmm\nPUZqKEFVFE7ZprJNf4jdhmqWN/yOlavmirZw+zx4geQ4aHOlDv1MYLUHLxD6jAJBd8HXKAkgfrDK\nMxPdCIwJUXwh5uMcbHMzE++omx/mhafh2lx4VJZiHXUc2g6W2dxFUfDycK3b3KSsANbVzaCaSZgx\n0kI6i2POJ5+9JDa082792dagOE+CMBNjXBT04ZochDejYA3dz3k/EjfwsZhb1salmAscudXdDJBb\n9uBColvPIV6zzmRz4dHFkj64cxF8vth3Yn51jsg5P6U6ka90czFjZA8F7CWffQdz+az+JN5ddR6s\nihstFVr9RoQLugvNoCUBYC4+E/O46PALcnNGBr4T8+kOtjlztdu1x7REuCfSzg7Gswkjhy9LYkwW\nnPUEzC/w0RglYYEKfOGDzAYLu3rglvWwMWkyvZpTuA8xCW8+nClKClosc2eBk66u0Olc7doSmcFx\nES7obponEh8zHZ/9cLKThIinRYi7LBfR69kXpAHRdttcTOefmDu4D2mn1gDnw7H/w5x9E+m8HKZf\n4f0QJaOXhhzoGSPKyebRSL7WHaCrV0ulWK0VmV+rHbDGwUlcnb/njO705AheQw9iZ65RTwIwwzen\nigRL3J50cFDy2nPs563ZgLNVCBvrvCS/hiid8KsmMrTS1j4lh56kaGacZWbsH2GXD9LXJKOP08cD\nL8HMIjMZDWbUKxQm7zbxa+VvsMN+JopzK93npAJOWgWGKREs6I58kBL/4wOLXKdE7kx7OkOtaW+w\nX+Q24DxFzUbMLW52C+McNOHcSz7ptNBlhJ89Bv1vQf0X8A9ZslXiBss/gnUfQAMiRvOy716i+jaj\ncLU3azPPtcOcwG9MIdIqx0WooPvyiilxDR8IeVx05LjUHeHrgjGFiLo8FvQ4FvOEfjCKKh32Qg4M\namsah1X089lLQt8RovYCFaDbAIYmGL8OtvvkH5CMBj6y8ezc9DbUteZzU/6TUK9tdHW9PgVwpbFa\najwc7HBvkBFChAr6zGAPYBRRCmR5d4qMBIiJ0K+iBX9Uf8u1e+xo3VyzyifkbiUmamjpLaNdM5Zi\ntlOKKMVZ3LuDgq69RDUC64BD8N0GKeYSz6k6B9rUK0Wb1i1a0YR1Lh48Cdf6o8dHuyHoM3C8aB+e\nRPhVVOI/CoGx3p0iEtfH7YnG96s/eoaGKNhGtMeoME2UehuTsZuTYz4msb2V5pR8dPTTj44eOy+W\ngkoZZtH3GhNT6sx8MR7GPwjo4K7roV+uoUvcRAHOy4UPGqHsTCipjuZGjKJ178FQiMkO8SZNbhKB\ngi6rwvmXdLyuiz8aLHKAEkTcjS/R4VzM41WYbK3ZWm4wUcAeTlc/JK7sXTIOwCddcGFHMS/H/WjI\nqUupYf5ji0nMhbd/A2t64fBNcHoeqFLMJW6SAPx2Eew4O48Tz2zg0LHJ3Pbekyw7cFywh2aHngBG\n4vmVUXBVlfgGPXC0d6cYDRY5CLPEHxVZHFnmU7S/NgFvOqWf0oLNAKTTwjnN73Kf1uJyYTHEfreD\n0rk1bNHC40vYCgj3e9s/4EGbLlfr+mBdPRKJ2xwB6i6GZV3HUvNxCSYmY6acto4RAl6H01cjMDQM\nxEuOJlKC4yJM0KV17nvG4nWO1WgRcoB8/FNteCyQY7ctEfEL1sQ8O2UfWcn7yWEfKRziJD5hPDsg\nGmbqYXUf1I+Dgoqha+cG6hnXuYvHZctKiZdUnQxVn8D3ToavlsxnPVPZwXjMlFPbVDTyCWbgfK3c\nVQ95lA56R59bKcIEXeI7yvC60l5uyuAo7EjHH4Fvw523BJjWRbnBhBET0/Q/pmDZidQecwxjqKdB\neZ6z7oa7q6BPs3jGHwed/WBsN0MiqCgoqCT2tZO+pZ3bzoe7F/np/5BELMcpcOJRoLsUes+AcyaU\nsYnJVDOJHYxnGxMA6OgO0Jp1VhI0uBISb2E8kRDuGUGC7qfuXaOOWXhdlCcSmqW4wyRcr2TlLs7E\nXFs3T08/wEO/mMXKZyBXgcsmfM7+7nX8PfYAAFW32R23DuL+BWTCxxeZuXUZdFaA0i1aZu77yk//\nhySiOWk2cCZwFOwZm00zmRwgnS3adbmLWPdOOBbnDVrSgRbPx+qYfKSghxTpwR5AmPM9vDan0+JF\nLrkzhiuqYilW4moKSygwBsjz07krcP7rtATB5faSldLE50/fxZ923c6dH8O9uQAHHB6mAG1LgM/g\nz4fFtnuOF9Hrtz8B7IKciZDR6OwMEolj7l0BvysGvg853U18FT048C2WLrqIJT6mg45uF2pN5OBc\n0CfgWvraKERRVR9W4fcSRVFUuMODI6ORueeekIPw23pJfLQo5mCPL1zQrcA2XC8+EQjKEevX/iAT\nKB7m+SysDQS1tfNZhlWczn+Yz1vMvNvMI7eLt80dbkqFOAM8Z4Ld7o9aIiEbuOoeIAdW/6KcZcyl\niWzMWlaMCSP727JoOqQFg6zSPIG9wEYnJ3Um3K4Iulsud8tJu0bcyz+cgaqqXi9QRoiFLsXcPWbj\ns2p6jgLefLmWnMbgiPEOYJMPz+8OM/FfO6MMXGvW4qAb8BESMGPkttUPQYf7Yg7w8EGIPSjeXonE\nE5qAB/4gvkNVZWZMxxlpIptyTJgxUkgdJGMVdAvDqVAhUOdg+yTQ6h/5kErCPdo9QgRdMjJ+6EVu\nTyWiepltUPxWPFMYZ8QzeMLg6/Pb40+3OogJi6tNAZ21QwUmsI17Z4l1iyiE0eMO/Ugxl3iP5TtU\ndTycrZpQUGknkQlsZ9rSJfzvvLcdH1iB43ruuTgW9FGUOOMOESDoXhY5iWiKAR83s85OAr0DM7US\nuKkX0lSojgaztt0iVt/hH7e5vRgeRpgKzR6erwzRQcLfuPs6w4g5QN4lT9MP3PgC8AVUPeP50CQS\nb5v+saEAACAASURBVCnQwdSdZopyrU1/nj7xCGevf4YjUxNEpbjinsHd1pyJeiWerZknx0Kbuy70\n4aLxQp8IEPQI7crlMcnANN+fNlovotftKdBulUBrFGs3T+PDS77PrbMfgEWxDHTlnIWItPJ3IGmS\ndhtuHTpYuOpWt8eRmM/qHPRw2YsPYHxxE5/yBd/9+JuB7UmIOY5EEkgujIboNyBj/RGqnoMrosV8\nPmuqQhG11OhK6ctkaPvUCkRgrP3k35Goj2H4gI8oTzJtCglnQQ+FYroSnzBXu/lBzPNSHIt5EYMd\nAG1Q8YOVnP/vtyFahXO6xA/UcsvAf7naocpExP9ciWdi7qI7fhdjMWNkBbO58imxrepHcFW+B68p\nkXjJI11QdQM8+px4/I8e6AQmXvQcCRxhUn61eMI4tGEQ03HseLW/dvhzKSxMCXNBH82V4eKxiriP\n18ct5KU4r/JWgLXJmiXFdBskxx8ifmYnCwyLKC/ZRMzRB63HHK2KKlCVeJ3qHpLEYRVvyy3Ni/PF\n4NwtbxcP266F3a9mFht+VcH1R2JQbxrculIiCTT26eKbPoZx1AIwPnebaO1b4cAtHoPVELDthzDZ\njReP9dQB7a8UFv8TAS730UQJQ+t/+gG9TqyVD4etZT7BevdIVyLXzH6Qp/5yLVnHHaAlIZXTz3mb\nNpIpPlLLKQkfc33mXxEFm4ENBC9TxFOyEb95L7vGjoiH4SGfM49t8RM4ftqXnHtPE2t/4dthSSSe\notcqFsbRaVWfKFWkYK5yMsu3LJ+1IVJYE7Eu5fml+2kF4RrtHsaCHsZDd4vpBCZKS8OVuuvDuM37\nViayuPJ8tlxfwlyW8fO+f/Jkx1W8FX82Vd/exw9PeAGKeqBCL8Tcvoe3bVCMu6HaFtz9aowQcBYU\nXBxTSf7Q3J0ORE2AxuhcChubfDkqicQrpn5UxE5gPNsxYaTcYBIBcjCowZAt43O2sb5uBieP/4j/\nvn2i2GhZTx9FBSldIYxV0R/trEKFIvzT4WMYEmNFVOhIOBJzk932rTFs1E2lJz+aZn0WLz/9E6Yu\n2sS2fxZjsjU7p2rH2i6jhaK4BpqR3gODdaYTpRs86ymxSc5tI5n+8+CEKljdKwwciSQYXD8LUn4L\nb84pJ4EjAJRSTTWlg0XdjrjoTmKju3h8/JX8evz3qVmzmwMYRDc2n1vm4U8YC3qk4ad1cFdwtRua\nq3WMWnX094nwjD703Ln/e5z7xQGeUX4+dF8jwn22xcVze4OCcHhY7ttG0jqKrA0Grkxo8oWIZyZZ\nc/MmsA2AKHpJ0LKB02ilZyyc+Amc+DIcfA7+Em7LG5KwJxtIrYTOM6zbLMVmjJgGLHVgkLBbto3X\nUmN27IC81AYOZOSB3sY0zwf2+nrUkwleBSvPCVNBzw72AHzENIKaducsFc0Z7jhFvoujJT0dEqHk\nrnzejfoGeoXgDCER5zmovqAIa3DatC7Kizdx//PzOefkamjRw7Zoq9AfBq09eOBxRcxtrmM5qY0D\n92PpohwTmRygjM3ksI+8bu35JmALLJJiLgkCTUDV/0HZcpi0rpYjJLCfLI5lGfM+Xsbrp55LNWXs\nI2dAxC2MYTdTWU8p1cyvgsvWnc7/FVzFA9whMkC2IpyZPhd0b6JZg0eYCron+T+hwtGExMJPAHqU\nN7TmsyBhMRdd+BZVfXAMy9lPFhucpdb5WtRt655biFH5qngurSsy+UHOu3wZfzyHtuVan0/SxtGH\nWOMPFK4uNcwQ64xlBvPAJiMmbuEBUvsO8kpMHU1TYZ4W0xO3DvgQqj7z7XAlEnfZvB7ObTfTnyi8\nd/H9nRRdv40Y8yYe7szhbzH/Sw2lg44pZTNJqX/kf2LhpSbYdV8TWzZo+4Sn5vqVME9bCxfysKaX\nBVnMFTwTc3fzx/UwLquWA0oGXXtEbH5C2WJUi99e78S/bclX95YKhop5ZScTcrfy2x0PYV5Qzxs3\nXMjcjGWkHt849Hi9dg5/O1CKcV3MS63BBgoq6bRgxEQ5JlrHb+SlqDr6++GHHRD3HsR9CrwLVf/w\nx8AlEvcoiYO4tTClfRNT2jcxefk2ttaCqsKi2H386uZ7mMFqyrXv9DEsJ1r5IzFtEDMVxvdNJzsr\nmf9n77zD26rOP/6RZFnyHnE84myvSNk7YUPYI0ACBVoouwVKgdI2QAtEQGkYpQVKWT9IKaOMkoQQ\n9kogkD2cJXnGSRzHI473kG1Z9/fH0bKGLTkeknM/z6PH1r1H9x45ir7nfc87VpZfOUAzDr0Vgyzo\n/cZwnCKe0cPYAWJ4NKT0k2XuHmw93UykpoUfOYVvw+C0zgwO592CFaVwq03vxv87Gs/od3/R410g\ns9vJSisgPKydEZQRs34Oz/wDPltyBZckfOwzwpYMH9frC9xzbLsjXIIYkVSuSzeix0ga5egwspA1\nnPNnl6EJwFrgG+D7vp2yjExvmRIJvA8rouH5WHhuAWwV8XE0AMv/Btd2/JccCsihgDNZi+ENaJTg\nue/gNeUtPF6ySbzAPYbuuPuUeSOQpPfgIARd7sFeTGYQg9u643hc7IFY52ESTGtDly4EJ5t8zn0G\n9ijUHHWJfUiMrqFmls0U95Z/areQ64ESP+7rzb1uZ0wHWdl5pCvLuOK7Zxh1lpIxz2xhH1DbKqLB\ndekiSId9Gmj18u1gF/W+2BLozQJhilgAxUXWMYpS5rCZ2d9+Q9wCBW1qEwaX0ATDZmCzqFoQaANJ\nGZn+4osaiHrZFv9qhZa2roVnkoAxP1RSs2AfEgpyWgqgFhIVkJoBW4lGpbBCRoeIfXFlJnKPdEJS\n0IORAc4VD4QwJSQNwNxGY7Nm28hOyyeHfB61PMzwjmp+eAROWZ7HSpdYxpS4CtSqDirrU7paxy1K\nMIY7n8fhFMAWunoCsoHIHuY100x8VB2b981n/f0WFqrbqTDAy+vhD8fUrEm8iAKyneMn2jwHvopc\nTEOk2Rm9n+6WCQReIU8rwSSnN2NEwhEue/B+Kh/PQ6mFXRY46CNffyASB2Rk/KUZeLPD93kz8MMl\ncNrzeUhTQZEHht+Jc2flZ7CdA+wOm0JmShFFTBqIKYccISbowVaYOkitcTvDokQk+0BgE6rV+07j\n6LX7OPPdeIYfqyfqq2Ze/gROioQcCih0Ec/E6GN0dKqpaXLZNI+0erq/i8LBrAAU/lm3sVbIdu43\npyUc4YmEJSxZ+TTLR7dz00nwp0p4O/EKShjryIedkG4ir0wnXmSfQ0E4NLjtTNnLUtopxnuSdwzH\nt9uibxd/Dxu6dCNKrBz5y+UYfvYEW06SOOhjp0BGJtRoAr5rhe9uhTtPhSTbRz9VCdlVxZz21kvE\n/7GOc+q/ZfbkbZDrR92M42YqIqc1NAgxQR892BOwEeRCDn0XxR5I17IY+PmMz1n61iM8nTqOpNSj\nTJiYz0NnrOSxaLj4lyvIeHk/SyKe5BjDAGGpJ8UcpaA8x+dlR88rIlVTTlR7M2uPnuU84Sq0sd6L\nlrumwaibOmmuhi8rYXiyznFcRScxNNJIDHGRddS3uATDuCwMaFAKgXenP0Ik3BY16jBh2kwgj2Iy\nyZ2i48vm3rgJZGSCnxfWO8NLmqzw1zSAKsYueY6IycBHAzWTIPW8+kAOivObSPq1EUpfoVT0bUra\nsMCGN9dHs0TxFN9zOiu4gtVcysbrIVkJs06CgxGjOYO16DEylgNoMaNSdqJLN6JVO0UsTGVBl25E\nl24kStPEz3if39U/gy7dSGyEreFLrNX58IKrmM+r3czfh5tpluC8v4FSshJOO8M4hoY2RlGKFjMj\nEo74fnOxNu/BLDNMbRPxAn1JpMv13chMcTrQ2wlnRGs5hgf69vYyMsGEva1TE2C4E86XpvKx9A5z\nv6uGPX5a5+FBkCI8gISYhT5YBLmIu5I8CIVqXCNO92pA146pTFR/MqJn7+7ruan5P7wwEk76dQH7\n0DsqRY13aZB+TvJXHCGdepfQ71gaWMjHaKL/x8SDqWRRCImQ0llJYYXL3ne30zNSnxDLgwXwl2zg\nW5gSnU/2mEK2xM9mGDV8ywLnXNKhvHYEdS3dpK2opa5dompUsF/te7wvEjpFkE83uBfbAHgx4jbO\n+utaLnlvE2v8CRqUkQkxzg2DryxwcRgYXoDLnmhHilLQfCgW9gPVAzWTGEKlcHIICfqcAb6fhpBq\n3h2tEY++JMLPce6BaaZwmNpGbXMCqVEVlJNK43BIa4cZT5mIvruZ9zQ/Ywq7GE8JhxjNaA5x3v+t\nYPOtC3ibX2BBiKMOI5e0fsLRS2DrsDloMYtykSq9zxrQqfEVJETVAKBGiGUx42kPg7Qw+MYAPy4F\nsHLd/M1s3bOZcxs7KSIDJVZOG3U9a0o/oizBdz19NR1MIA8lVnYxVUTIJ3b6+QfzH29ibqeMdOL2\n61i62YTiDXj8Zeh+aSAjExpogZOehf13wvfhcEHHFHYn7WZm9XY+Kr1GpG8cGKjZTCFUuq+FkKD3\nS6KhD0LIIgeRW94ffx5/0jBdxbwRZyGWXRoqZqVxctRPXP2vV2muT+WyHyv49lxYoD/ExRd/ypja\nUuLXNKEqBes5UPM6nDf1WyLmtLKF2cTQRDx1lESMJbzJxKUlH1M6biSbmI8eI8VkoEs3UtucQEVd\nGqnx5SREORNhxnLA0QgC4Otx53LtoXW0/6qdszVQsQZe3ijO/fy9VZQvSuAVTS1z/g6H2UEc9dSS\nQLlbMGYmRYylhFn6+0k1nspz3A3pYO7QUlLVd1UME6NrvB6PdrMWLCNAPQkuSIaPq/rs9jIyA84p\nSjj7Wai5NZLisHiK7jzCQ+vgZm5jS/VcTD9MBVOPlzlhUUhSMHSkECgUCgmW+jg7EPnnISbk0L8l\nXP1xULiOycCjslrOwlwmKfaSY7Nmly5/mvdus6DtgMxZMG04rPwSdtu2wQ3Pg+EueLAEdo/VoUBC\n15jHtiT4ph3uMMfyT81vyGeC4x5WlOQxAStKlFiZQF6XOcRTRxpHyKEAPUb0zSa0ucBmePH3UAWM\nAW58HgqfhJUVkG5ZzEdc5vF2p7OD3334D8LiIPwoPHEjTG08ld+HP+sY46tzVCDEaBsZOazU47i9\nMhzASWzktJb1RG3vhA/F+3lmc6g4B2VkvPPrcChv07GKy5jJDsbsOcDCrDUc3pAB5UpnrwX3vHNv\neeg1zdDeF56z/rbQL0SSpOM2y0LEQve3nFZvSQJ8R1kHLQNQjz0givFIK8s/MgFluhWjrbNSdXIc\nSe2TmNho5GhMEvst9RxMOILhXjA8KsQcIGw5TPmlCcUr8P078EM7pAAFyyHn9gLGU4ISK+c3fcXm\n6NlsYq5HHWg7aRwhwVbCosPmyjdPA+1bYA+nO4jz3n++CYpf+ZTmX0WRqxBdW5JsG3bz2YT6VXj8\na+f1S8PHOrpGAd22g/SH4bFVJMV4bhC6xhskcYycF9bx7O+gwwIPjIa6ClnMZUKf19oh/YtYfjz/\nVFZwBYXDs7F8aYs2t4u53GjIKyES5d6fYntyP1+/nwgGMfczxKC6MQkAI3puu/gFfuIkXo25hW84\nmw1h8zm9UYd5Sdcte8Nj0DQZVOvhB1snpUvCYf7pDcyw7mAqu1CN+YC82DomWoyo6HRYrq5k2cqr\nJHMUcAq6ugQ6NnqPq3l8ORQ/b+YkNnAyG0injEhayKGA7YqNPP41GE4Fw4+wUNJRykgUSOhd7t/d\n3nd3TEg3eRVzAC1mdBhJ4hinsp7yt4WYA3x2CF5q9/oyGZmgZA7ClAIwLBUJOg/fBErLvbxz/kNU\nkoKpTI9ls03Mi11ePJCNk4DAWk0OHiFioffHBnEGomlKiKEJg4SeyqP1AT3tnwcwhaMNyQ6RKiDb\n0UJ1JKWEYUFNB5mKIu57rgPD3c7XPWsGNjufj5wOfALZkSWElcDHh+Da5bAjLJYcCjjAGA9Rj6ee\nFJzNVyJpIewoqA6Bag5csg/WePHIjYuD8Y1F7IqdylgOoqaDLAqJU8H2TijaCpmbIGFOLTlqUb7O\n3t/5EKNpIhpdupGapkQq63v+nCVGHyMlzkuTGBv2xUIiNZzc+RMzNplEiVcboVP6QkZGcFocXPg8\ntCxW8mPUdBIM01nCaA4wjgMd49hfNV5kj9gZVPdToCUeB4cQ2UPv6/3zkxjYILs+YqDKuELP1rev\n8+6V3Fxyqu1Wazx1jEDke6vo5BLWEHXhCorXwewOOH0mvLwZKrxcPkcJ19wGNMFjb8KwcLipBj6M\nWtxlXBaFKOj62Q7DQkyaiayrAAsc/Tf8qwWvRCmEO/6uRgWmKLFfr282Uf8XeOkJ57joWDitfjJG\n9HzCxV2uYXTJ5+u0qrwWz8kZkYdS4T2P3o4Ok4glwEhc1DKafMxZRibUMHwMOy7RYURPPtmYRJSL\nc8vKtQSzax8Fb/vl/bqHDv27j37C7KH3ZWGAYeASTBVShIdB4gBY5v7Qy/am9tz0OuIdgt6Jinyy\n+c2qOC5/sV44TWrg5lZ4ZbenSzzfCkWvwts2V7OlA8pPgl+8toKds53V32Z8YsJwCdzfgGNjSV0G\n29vhiedE3ejuaJbg4emgzJXQTxNhtZo8SBkJhvPg8y+F86CpAea8vofPbtnDQslKIZkihQ2nVW1E\n7yieEyj2a6jpIIVKrqyJ5SWt3HJFZohQJBbKlVEpSCgw+7KE5XxMvwiBPfS+ygWfTciK+fDogRXz\nnpwA3WVmubdRdcNiFWtI+162nW80Z7PjdzrMC4FMUI8WzRy88bZLM5IaCf6zGxQm8cWgbzYxpcjE\n05fC4jTQvi+EWJMHqnUw58qexdzOxzuBz0H7nujjrNjiPDfTpQLsk7eIn6d3fE8OBY5+zjqMXMhn\nXMwa9BgZhWfUui8yKO6yJ59piwX4UXMKvznT78vIyAQ1j90LjeMhYcE68tBxyFd5717UbOp7knoe\nMsiEgIXeF4RgOpqdpGhQDfC6q7t1T0/rqx68W4Xl2ejSjTQR7Yg8t9NMlPhFC999Dq09TlSQBRQ8\nBdnDgVjgAIyKhxXlsOJWYfT/ejaQCewXGzibfV+u63yfgnc6wHCNuLZUAY3r4EWXADT7PGvurkL/\nopEYGpnQmY/00kEO/AsW/RjJM8Puduyx25FQcNil56svwXeNC2hDQ8waMLwBXy2BDbL7XSaE6QT+\nVQUP3QETMHXZpgJEOeSWYLE74xjA8nS94gQQ9BAX87Bg+TDjX9iBn+kk5aSRQC2plDuOVZBKWCWw\nN7CWCIXAoX3wwJvAKUANXJ0FyzaL6VQAj2yFmK2iA6u/O2q5QK7N1ffcu3CjBv7ezfvb9SZc/bSJ\nSQ0m/jrCebxkagsRh1sd5W7tKJB6tNrHuaSqxVPPBPKoVicxclo1Z44EUwFuyyIZmdBjj+1rIJkq\nqkgmNb6ciro00XHQVytjV7b37/wEqXQNtQ8+hrCgh1jpVneGD4JlDt1b532UuVFeO4I0WxOUBGqJ\nt7Vh0FuN/DsDKgEfLb590gaYf4KWVWCVYFu759rieIJka+lezAEuTADtG+ASVI/hWqh7VcMnlJJP\ntoeod8c4StB62SAY3lxN/gJ4V87FlRkCXDICyu88AwUSSVRTRTIJUbUkRNWK4LhZ5p5FPXhiuweV\nIDL/vBFI705XwghpMR8WNThiDr5N48l9fyu7K3k0h9BjJKN1P7feH7iY23mlFJ5vgxfaYVPfTdNv\n9pcDq8GywnnM8DZEl7URQyM5tgADb/ny7oylBK3LpoPK5lcYbS5Fs0IWc5mhwUgFzFgFKVQygiPE\nUY8eo2M7bmb6Ni5KXwMjLB5VKGU8CXILPbkXrwlHBMCFKMkxosLCYOAroUCNcHgEyhjvoalpCUfI\noJjTrT9QMvYnFm4BwqH5SXjlqV7cx8Zgu56/6IQjX3v2tDk8EXSPfcXOJQvJoYASxqLDiISCPHRd\nxvoS+0yKmSLthhuaMLzfT29ARmaAiQYUTTDjOxMTx+dROTaFNrJIo5w0ytFh5IGP/kFu4VROzt4k\n9sGC2+s9qAS5oAdKiIv5sKjBE3OA6T6OTw3gGq7B+MN971ZraEOt6GC+Dp4bAb8/HZ5fF8B9gpTd\nXo690Q63fQMX3/kp+ZHZjjKxdhd8T+RQgIpOJhwt5K+ymMsMIY5JYPy5ML5fr5S4aPnz5N94EfmI\n1sjT2MVbvzOzr2QRrLUy+E7leQyO/88/Bvuv04eEEdJinhoL6r7Mue8jAt256KFFuS7dSDx1AHyj\nWMDEaAVLHoHXN4DhNvhZGpwSgjV/euL/voao5Z3knG3isMLEVS+vYCJGh1h7YzSlDjd9DvlYo+DB\nUwZy1jIy/ctR4INKeN0Wd/LpTWamSbu4nI+4r+Fv7FF8xqJaSB/2gO+LlA3IVG0E4Xe0C0FsoQfi\n49USKrV2vdLXfcx7gzfhPp4whFmewVz2wir2ojIA76xYhB4jN95sgkLQTwL9W/Cjv3llIUIGsOke\n4ZYHSF4L2bcVYERPZg8+xExHRwoIexweuA6WHerHycrIDBJxwKQPiuAI/OVe8c2+IQ5KDj4Dq33Y\nn+XeD5+IBLGgu9cQ7Y4QFnOlYvAF3Vu9hMxeXMeHZe1aIS3bS+UZCQV1idHEzGpCewTqcj2GhDwF\nQIGLIT7vNDA3myAKz9xbF/TuLnlJFnOZoUs9YH4aNCoRHJt9Jfzvg/9jfdupzkGDHSwTxASxoPtL\nCOeZD1SjlZ4Y6/Y8HIjvxXXse+0263zs8BIiwp2R2qM55GjM4ooJHQqthL7ZBPHwY2/D3EMIw53w\n4IWgT/Yt6q5irpY60OaC9a2BnKWMzMDzhEtO+ZUXQxWb2B1QIM+JS4gLegiLuUoZHGLuza0+pRfX\nsb8mUjQaca9bnkN+l73iDIrJcnEljzKXomgDSuDiG+C0t3vO+w51wv4GYQtgxgiTiLXphqyWIj5Z\nDNt8N2STkRlyPHI9hN/yOvWNf4QSLwP6qu9KQKQzwBv3fhPCgj5nsCdwfAwfoK5p3ZHh5Vhv9s0n\n4givVE1qZW6aiAKtJYEEaklz2+RKoJZhVKNEiL8eI8O/ahINGCRgL3x2AjRjMLwIvCh+fzjXRHsm\nlGtSqQ1LcIzRN4vGMNpcuPi3sO3BQZiojMwAkgxUATolXLxJy6mzv+XQpkxs9ae6snOAJwcEc6fO\nEBb0oKjW3ztSYwd7BqJQjPvWfW/E3DXUYZaZG9L+zW2rlmC+XE96biXLp13n8ZIFlrUkqY7Srggn\nq6WI6L0dGC6FJUlQVA+rOk6swk9LZ4tcXIC0tgrS2ro2jlUftv3SBndr4Lkh7rmQOXExvAfLroeH\nfgLFQfhN2l/ZWTYD9gdTdPkY4HCPowaDIBX0rB7Oh7CrPRjEPIPjF3Mvfc/HJxdTRzw/XH49YYqX\nOWU1XB/7DivHL2SEi5WuL8lHeXctiX+CznGgKAXDOWD4uhfvZQjwyFYwbAStFcwzup7T2gMErUCV\nLOYyQ4s/Z4H6UejshNLZI3kq+zIqrkrnAvTkTZxAafkY2K3B1mxQNGaQ8UmQCnp3nDTYE+g9wSDm\neroWfwH/xDzby+scrxdBcBp1G0b06DAyKgsMl4Lhp0OcPf5bR5/j6c25RBRKvLAOmj6H+89EeAtO\n8Bbfq5dATSLc+DKQ5mXAbnjy1YGelYxM/2I6ApP3w//+dCl7mUgeOozoKarIoqNTLcT8oMsLXA1j\nOV3NgyAV9EQfxzUE8/5FtwSDmLsLdyzOQjBR9OwYcSfaChPaPQ6rsbB4dxTD7mzGcDLc84yJ+NFg\nMkDEFHjvXWcTQsNaYG3IdqrvM3ZKEHMM2IjoNx+JEHZ7ivoeuHsEPBGcsTgyMr1iZTPkXBbGEdLI\nQ8cRRJvCjk61syGLrzQ1+f+CB0Eq6L4I0YYrgy3m2Qjx9nYsg941PZjUBlrnTneUptnx+26m8Kz2\nLq6/+p8YFjRR/Cg8lw+SBOzzfrm8XkxhqNEIsAUcLdLtYi7i4mgP7lbMMjK9Yp8+i1pEIGg4ngZC\ncKIgGCN9QkjQQ9TVPphiHglea5bMQnQQmS6izGkJoALw6A5I9swVGZ100OPYf87+LZfzEdmXFrI0\n10LzRfB0nf+3OhEx/AgPtYHKbS+d3KGfxidzYhEB3Pcw7LO2kaMUBadKGE+Va1Mu1yJT2wZ0eiFJ\nCAl6CLraUwap3990vJccTkIUkZkAE67ayW28zD1lz4lzuzTQ0c3feHwHJPac9Onev9uIHiJBP9VE\n1M9xpGnJ+KZqF6QpEa2o1EAtNAzB6nkyJzatwLJH4YHS/dQvjwPgl51vMea7w2j0rd2/eNAXtycB\nPw32JDwIQkH3JiohGNUerQHFAC1Cwum5GIx9t0IrHnllOmasfIMHfzuMVSxCld7JvvKJdBZGQLPN\nYp8S+P+a8ewHwGQLjgMh6jO2mjC8GKyOquDilXa4NxdibZkEspjLDFXaAMO/wXDDTmZO3olmDTQt\nVEOJm0VyzO2FewZqhqFFEAp6EFRPO15itBAV3j/XHoYIYPO3Vby72LtEnz322/+xZtflZOeu4rIt\nxdz4r+UY0/SYynzXFveGvSrcGDzd7nbMs8HwN2AFvLkRm+zL+OKFNrhgG2TY/od+P+gWiYxM/9F8\nqdiOSwBuvKUD7oAubQy8VYmT8SAIBX2S2/MQs86jNX0j5ip89yf3F/cYQrfc8cOM5P2pi/nlG/9j\n+7/0jKRUpJ3ZBDr/yASsUvf763GRYlM8hkaiaPY6xlGTfDxwDRzYGOgbOfFoB8o7oaJTpKBv7+kF\nMjIhzNN1oFWAznoq83gWVqtxxMdZB3VqIUUQCnoIE6OBqF50TkvHe+5xb/HnehIM4xiFZJL7A4xo\nKydG08gIjjhSR3JGiNjzqoZkjjV6tmTLSctDqbSSSA2pbhUfUqlgDAfRY2Ss2Wa57wS+EV3rh1h3\n1H5hy2BPQEZmADFLcEi1nrxSXdcTOwZnPqFIkAt6CEW2B+pm768MPF/Xda/stl3L35VLaMrKRjqJ\nkAAAIABJREFUJbId0l6s5cGrn+C74afzfNhdHGSMY2hybBXJsVVeL+vR3tNGAjXcvOa/NN0KMSuA\n3WB+G56QXWcyMic8N6jhDVu/hkgFJElwCPhH5zak1RHOQhXekPfrfBLkgh4ike3+uNlTgFH9OIdA\nFwgzzSwd8RDTm3dwXuXXZC/fgma5ROufI5jFVg/3eSMxtBBJCqLd1ynWH6lVxmPFu0t+EvtoydHw\nTGUbN90BLUZ47wRoiyojI9Mzm9JhYYmOrcxmN1P4HD3GJj1V62xfkvaKcN5S1cxejskA+Pg2Dgq0\ngz0B/4jVCkH3xSzbo7/EPIXeWfsKOMBY1rCQLSmzkc4F1sPlWz4HcESo24mhkRQqSaQGHUYu7VzN\nkiN/87hsJsXkUEAWhTSMiWTpZxB1TBZzGRkZQaoCrn4R2tBwmHTKSGdvwySq6lOg3g9Jaun/OYYq\nQSzoMwd7Aj2TGguRXizzYTiFvD/xd6Hg7m6PdEaZWAhjN1NYO3M+3ArHPoGL+IwcCjxEXYeRFCqI\npZFdIyvgF51czkfkUOB4uPY8T7DUooiFYQ+EjK9FRkamn6mQwFwg+jpcetMyCsimunG4s9SrPU1z\n96BNMWQJcpd7EOOtAtxERPmj/mYSx+fA0Hctr1hEJms5A+lyJTM//4l57+0i9oJmMuKKubn933wX\nfqZjbDjt6DFySIKSn2BCSz5E2grI2JhAHpmtxV3u8dBUeHTXccxZRkZmyJD/J5j6GXzzLXS+poIK\nmxS55psHfRXYcQRbPl2QCnrOYE/AN+EqSIzqemwY4t+2v+lNKptHZzXPDSgtZmpJYJNyDtbXFJz1\nhx8Jf6aI+Yvg2E6Y9kGuQ7DDaSe6s4nL3oePzoJJG6zo55vQY6JUK9wFo8ylzovXgvVbKPUeOycj\nI3MCsqoFPl0LygvTKSjPgcM2KbJ/dfgS856LVQ4gwVciK0gF3TNFKihwt8onIMpzDgS9vVd2z0MS\nqaGCNBKopZIUVCdD6avw9p/AcBdENZsYqxKpZ2prB2qpA4zCM5ZzDejeBzSQVVbKrntB+77twlXA\nF/Doql7MW0ZGZkhj7YBtHz8JB2wbcq4VEX252+UCS90SxHvofhKmBLVKPFJjnQ/7MVUfvEX7Ne1E\nI/avB0rM++JeSjys88r6lC7PDzMKDW2YF8BuWynlohdB+wYkvtTCv6J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Tpuzk8KyRzu+t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twDgVaEsAd4qluP5NkI+Br3do8d3syT3MNJbGIlH3I+n7LwP1DRA79sgXGth9nIKejQUEImBlR0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\nG2hWWcCIeSCum5cT7GIOsqAHGBWIO804f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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Graficando el conjunto de Mandelbrot \n", "def mandelbrot( h,w, maxit=20 ):\n", " '''Crea el grafico del fractal de Mandelbrot del tamaño (h,w).'''\n", " y,x = np.ogrid[ -1.4:1.4:h*1j, -2:0.8:w*1j ]\n", " c = x+y*1j\n", " z = c\n", " divtime = maxit + np.zeros(z.shape, dtype=int)\n", " \n", " for i in range(maxit):\n", " z = z**2 + c\n", " diverge = z*np.conj(z) > 2**2 \n", " div_now = diverge & (divtime==maxit) \n", " divtime[div_now] = i \n", " z[diverge] = 2 \n", " \n", " return divtime\n", "\n", "plt.figure(figsize=(8,8))\n", "plt.imshow(mandelbrot(2000,2000))\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Con esto termino este artículo, espero que les haya gustado y les sea de utilidad.\n", "\n", "Saludos!\n", "\n", "*Este post fue escrito utilizando IPython notebook. Pueden descargar este [notebook](https://github.com/relopezbriega/relopezbriega.github.io/blob/master/downloads/ComplexPy.ipynb) o ver su version estática en [nbviewer](http://nbviewer.ipython.org/github/relopezbriega/relopezbriega.github.io/blob/master/downloads/ComplexPy.ipynb).*" ] } ], "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 }