{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Función transferencia pasabanda de segundo orden\n", " \n", "\n", "#### Por Mariano Llamedo Soria" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Resumen \n", "En este documento se presenta un ejemplo de **análisis numérico y circuital** para un filtro pasabajo simple de segundo orden.\n", "\n", "Se usarán algunas funciones de PyTC2 para realizar los cálculos y presentar los resultados.\n", "\n", "* Análisis de la respuesta en frecuencia: [analyze_sys](https://pytc2.readthedocs.io/en/latest/autoapi/pytc2/sistemas_lineales/index.html#pytc2.sistemas_lineales.analyze_sys), [bodePlot](https://pytc2.readthedocs.io/en/latest/autoapi/pytc2/sistemas_lineales/index.html#pytc2.sistemas_lineales.bodePlot), [pzmap](https://pytc2.readthedocs.io/en/latest/autoapi/pytc2/sistemas_lineales/index.html#pytc2.sistemas_lineales.pzmap), [pretty_print_bicuad_omegayq](https://pytc2.readthedocs.io/en/latest/autoapi/pytc2/sistemas_lineales/index.html#pytc2.sistemas_lineales.pretty_print_bicuad_omegayq)\n", "* De presentación algebraica: [print_latex](https://pytc2.readthedocs.io/en/latest/autoapi/pytc2/general/index.html#pytc2.general.print_latex), [a_equal_b_latex_s](https://pytc2.readthedocs.io/en/latest/autoapi/pytc2/general/index.html#pytc2.general.a_equal_b_latex_s)\n", "* Dibujo de redes: [dibujar_elemento_derivacion](https://pytc2.readthedocs.io/en/latest/autoapi/pytc2/dibujar/index.html#pytc2.dibujar.dibujar_elemento_derivacion), [dibujar_puerto_entrada](https://pytc2.readthedocs.io/en/latest/autoapi/pytc2/dibujar/index.html#pytc2.dibujar.dibujar_puerto_entrada), [dibujar_espacio_derivacion](https://pytc2.readthedocs.io/en/latest/autoapi/pytc2/dibujar/index.html#pytc2.dibujar.dibujar_espacio_derivacion), [dibujar_elemento_serie](https://pytc2.readthedocs.io/en/latest/autoapi/pytc2/dibujar/index.html#pytc2.dibujar.dibujar_elemento_serie), [dibujar_puerto_salida](https://pytc2.readthedocs.io/en/latest/autoapi/pytc2/dibujar/index.html#pytc2.dibujar.dibujar_puerto_salida)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Introducción\n", "\n", "La función transferencia de un resonador, o filtro pasabanda de 2do orden como seguramente habrás visto en TC1 es:" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\"Circuito\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$$ H(s) = \\frac{\\frac{1}{R}}{\\frac{1}{R} + sC + \\frac{1}{sL} } = \\frac{s\\frac{1}{RC}}{s^2 + s\\frac{1}{RC} + \\frac{1}{LC}} $$\n", "\n", "Buscaremos ahora una forma útil de parametrizar los polinomios de 2do orden, y en consecuencia las funciones transferencia. Será necesario que dichos parámetros guarden relación con aspectos concretos de la transferencia, como ser el ancho de banda y la frecuencia central del filtro. Se propone entonces la siguiente parametrización:\n", "\n", "$$ T(s) = \\frac{s \\cdot \\omega_0 / Q}{s^2 + s \\cdot \\omega_0 / Q + \\omega_0^2} $$\n", "\n", "Siendo $\\omega_0$ la pulsación natural de resonancia de la red. También nos referiremos a dicha pulsación como *frecuencia de resonancia, o de corte*. Si bien **no** es una frecuencia, en la jerga se usa de forma indistinta dado que solo media el factor de proporcionalidad $ 2 \\pi $ entre ambas ($\\omega_0 = 2\\pi*f_0$).\n", "Respecto al parámetro Q, veremos que está relacionado con el ancho de banda del filtro $ Q = \\omega_0/B$. Para ello primero calcularemos el módulo de la respuesta en frecuencia del filtro.\n", "\n", "Primero substituimos $ s = j\\omega $:\n", "\n", "$$ T(j\\omega) = \\frac{j\\omega \\cdot \\omega_0 / Q}{(j\\omega)^2 + j\\omega \\cdot \\omega_0 / Q + \\omega_0^2} $$\n", "\n", "$$ T(j\\omega) = \\frac{j\\omega \\cdot \\omega_0 / Q}{\\omega_0^2 - \\omega^2 + j\\omega \\cdot \\omega_0 / Q} $$\n", "\n", "y calculamos el módulo:\n", "\n", "$$ |T(j\\omega)| = \\frac{\\omega \\cdot \\omega_0 / Q}{\\sqrt{(\\omega_0^2 - \\omega^2 )^2 + \\left(\\frac{\\omega \\cdot \\omega_0}{Q}\\right)^2}} $$\n", "\n", "Esta función la podemos observar fácilmente en LTspice cuando analizamos la respuesta en frecuencia:" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "\"Circuito\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Como se puede ver en la respuesta de módulo, las pulsaciones $\\omega_{1}$ y $\\omega_{2}$ delimitan la banda de paso. Como es un pasabanda que en $\\omega_0 = 2\\pi.1\\ \\mathrm{Hz}$ tiene 0 dB, o $ |T(j\\omega_0)| = 1 $, los límites de la banda de paso tendrán una ganancia de $ |T(j\\omega_{1})| = |T(j\\omega_{2})| = \\sqrt{2}/2 $:\n", "\n", "$$ |T(j\\omega)| = \\frac{\\omega \\cdot \\omega_0 / Q}{\\sqrt{(-\\omega^2 + \\omega_0^2)^2 + \\left(\\frac{\\omega \\cdot \\omega_0}{Q}\\right)^2}} = \\frac{\\sqrt{2}}{2} $$\n", "\n", "Entonces despejamos los posibles valores de $ \\omega $\n", "\n", "\n", "\n", "$$ \\left( \\frac{\\omega \\cdot \\omega_0 / Q}{\\sqrt{(-\\omega^2 + \\omega_0^2)^2 + \\left(\\frac{\\omega \\cdot \\omega_0}{Q}\\right)^2}} \\right)^2 = \\left( \\frac{\\sqrt{2}}{2} \\right)^2 $$\n", "\n", "$$ \\frac{(w \\cdot \\omega_0 / Q)^2}{(-w^2 + \\omega_0^2)^2 + \\left(\\frac{w \\cdot \\omega_0}{Q}\\right)^2} = \\frac{1}{2} $$\n", "\n", "Llegando a una ecuación cuadrática en $ \\omega^2 $\n", "\n", "$$ 0 = \\omega^4 - \\left(2\\omega_0^2 + \\frac{\\omega_0^2}{Q^2}\\right) \\omega^2 + \\omega_0^4 $$\n", "\n", "Si $ x = \\omega^2 $, entonces la ecuación cuadrática resulta:\n", "\n", "$$ 0 = x^2 - \\left(2\\omega_0^2 + \\frac{\\omega_0^2}{Q^2}\\right)x + \\omega_0^4 $$\n", "\n", "La solución para $\\omega$ es:\n", "\n", "$$ \\omega_{1,2} = \\frac{\\omega_0(\\sqrt{1 + 4Q^2} \\pm 1)}{2Q} $$\n", "\n", "Dichas frecuencias definen la banda de paso del filtro y cumplen con las siguientes restricciones:\n", "\n", "$$ \\omega_0^2 = \\omega_1^2 . \\omega_2^2 $$\n", "\n", "$$ \\omega_0/Q = B = \\omega_2 - \\omega_1 $$\n", "\n", "Para el caso de nuestra simulación tendremos:\n", "\n", "$$ \\omega_{1,2} = \\frac{2\\pi\\sqrt{5} \\pm 1}{2} = 2\\pi(1.118 \\pm 0.5) = 2\\pi.(0.618; 1.618)$$\n", "\n", "$$ f_{1,2} = (0.618; 1.618) $$\n", "\n", "Como se puede ver, ambas frecuencias **no** están equidistantes de $f_0 = 1$ Hz de forma euclídea, lo que equivaldría a que 1 Hz sea la media aritmética. En su lugar, $f_0$ es la media *geométrica*, que sería equivalente a la media aritmética, **solo** si el eje de frecuencias está *logaritmado*. Esto se suele prestar a confusión, dado que esa es la forma habitual de representar los ejes de frecuencia, como en la gráfica producida en LTspice.\n", "\n", "Por último, diremos que el análisis en LTspice de la respuesta en frecuencia será considerado de ahora en adelante como **simulación circuital**, un paso importante en la simulación computacional de cualquier red eléctrica que analicemos." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Simulación numérica de la transferencia\n", "\n", "La simulación numérica consiste en simular el comportamiento de las expresiones matemáticas que modelan el comportamiento de un circuito, utilizando las capacidades de cálculo que brindan los módulos **Numpy** y **SciPy**. En el caso de este ejemplo, nos centraremos en analizar el comportamiento de la función *módulo*, *fase* y *retardo* de $T(s)$:\n", "\n", "$$ T(s) = \\frac{P(s)}{Q(s)} = \\frac{s \\cdot \\omega_0 / Q}{s^2 + s \\cdot \\omega_0 / Q + \\omega_0^2} $$\n", "\n", "Todas las simulaciones comienzan con la inicialización y configuración de módulos numéricos y gráficos." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "# Módulos externos\n", "\n", "import numpy as np\n", "import matplotlib as mpl\n", "from matplotlib import pyplot as plt\n", "\n", "# módulo de SciPy\n", "from scipy import signal as sig\n", "\n", "# Esta parte de código la agregamos SOLO en los notebooks para fijar el estilo de los gráficos.\n", "fig_sz_x = 13\n", "fig_sz_y = 7\n", "fig_dpi = 80 # dpi\n", "fig_font_size = 13\n", "\n", "mpl.rcParams['figure.figsize'] = (fig_sz_x, fig_sz_y)\n", "mpl.rcParams['figure.dpi'] = fig_dpi\n", "plt.rcParams.update({'font.size':fig_font_size})" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Ahora importamos las funciones de **PyTC2**" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "\n", "from pytc2.sistemas_lineales import analyze_sys, bodePlot, pzmap, pretty_print_bicuad_omegayq\n", "from pytc2.general import print_latex, a_equal_b_latex_s\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Luego se procede a la simulación propiamente dicha" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "scrolled": true }, "outputs": [ { "data": { "text/plain": [ "TransferFunctionContinuous(\n", "array([1.41421356, 0. ]),\n", "array([1. , 1.41421356, 1. ]),\n", "dt: None\n", ")" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Comienzo de la simulación\n", "\n", "# Utilizaremos un Q diferente para facilitar la explicación que prosigue,\n", "# luego adoptaremos Q unitario.\n", "Q = np.sqrt(2)/2\n", "# Prestar atención a que no es 1 Hz sino 1 rad/s\n", "w0 = 1\n", "\n", "# Cargamos la funcion transferencia T(s) como vectores de los coeficientes\n", "# numerador y denominador P(s) (num) y Q(s) (den)\n", "num = np.array([ w0 / Q, 0 ])\n", "den = np.array([ 1., w0 / Q, w0**2 ])\n", "\n", "H1 = sig.TransferFunction( num, den )\n", "\n", "# mostramos la transferencia construida\n", "display(H1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Como se puede observar, luego de cargar el objeto *TransferFunction*, no es fácil volver a identificar los parámetros $\\omega_0 = 1$ y $Q = \\sqrt{2}/2$ que lo originaron. Para ello se utilizará una función creada para tal fin de poder manifestar dicha parametrización:\n", "\n", "$$ T(s) = \\frac{s \\cdot \\omega_0 / Q}{s^2 + s \\cdot \\omega_0 / Q + \\omega_0^2} = \\frac{s \\cdot B}{s^2 + s \\cdot B + \\omega_0^2} $$\n" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/latex": [ "$\\displaystyle \\frac{s\\, 1\\,\\cdot \\frac{ 1}{0.7071}}{s^2 + s \\frac{ 1}{0.7071} + 1^2}$" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/latex": [ "$\\displaystyle H_d(s)=\\frac{s\\, 1\\,\\cdot \\frac{ 1}{0.7071}}{s^2 + s \\frac{ 1}{0.7071} + 1^2}$" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pretty_print_bicuad_omegayq(num,den)\n", "\n", "# o un poco mejor, presentarlo como una ecuación:\n", "print_latex(a_equal_b_latex_s('H_d(s)', pretty_print_bicuad_omegayq(num, den, displaystr=False)))\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "De esta manera la comparación visual de la expresión se ve facilitada. Veremos que esta función nos será de gran utilidad a lo largo del curso. \n", "\n", "Continuando con el análisis realizamos la simulación numérica de $T(s)$, ya con $Q=1$ como se analizó al comienzo." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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", 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MjIzg4+OD9evXV1jm8OHDaNu2LeRyORwdHTF16lSUlJRU92EQEREREemM4OBgDBkyRLL9JycnQxAExMTESJahJtFogduzZw+GDRuGvXv34vDhw2jVqhW6d++O/fv3V7ne9u3bMXz4cIwcORLHjx/HyJEjMXToUPz666/KZa5du4bOnTvDy8sLcXFx+Oqrr7B69Wq8//776j4sIiIiIiLSAFEUsXr1arRo0QKmpqYwNTVFixYtsHr16ud+2Pu2bdvQtWtXODg4QBAErFu3TuV1Fy5cCFdXVxgZGaFJkyYqn6R6FhotcL///jveeustNGnSBD4+Pvj888/h7e2NrVu3VrnewoUL0bdvX0yaNAm+vr6YNGkS+vTpgwULFiiXWbFiBUxNTbFmzRo0bNgQPXv2xEcffYQvv/wSd+/eVfehERERERGRmg0ZMgQTJ07Em2++iYSEBCQkJGDgwIGYOHEihg4d+lzbzs3NRcuWLfHVV1891XpLlizBhx9+iLlz5yIhIQFdunTBK6+8gmPHjj1XnseR9DNwpaWluHv3LkxNTR+7TFFREY4cOYLQ0NBy46GhoYiNjUVxcTEAYP/+/ejcuXO5ZziEhoaioKAAR48eVc8BEBERERFVYsiQIQgODsayZcvg4uICY2NjdO3aFdeuXVMuc/nyZbz66qtwcnKCsbEx/Pz8sHTp0nJnklJSUtC3b1/Y2tpCLpejQYMG+Oyzz5TzN27ciDZt2sDKygrW1tbo2LFjpe99RVHEjBkzYGdnBzMzM/Tv3x/Z2dnK+fHx8QgLC4O9vT1MTU0RGBiIjRs3ltvG7Nmz4ebmhl9++QW+vr4wNTVFcHAwzp8/X265n376CZ6enpDL5Wjbti1OnDhRIc+MGTMQEBAAU1NTODk5YeDAgUhPT6/yNd26dSvWr1+PNWvWYMKECfDy8oKXlxfeffddfPPNN/j222+feGKoKoMGDcKcOXPQq1cvldcRRRGfffYZ3nnnHYSHh8PPzw8LFy5EYGAgPv/882fOUhVJH+Q9b9483L17FyNHjnzsMhkZGSgpKYGDg0O5cQcHBxQXFyMjIwOOjo5ITU1Fq1atKiwDAKmpqZVuOzIyEpGRkcrp7OxsREdHP+vhVKsrWQVY+uPvcDETYGLAW+gSERFR7VK3bl3k5ORAT++/8w3vbD6Na9kFGs/iYiXH0n7+T7VOUVER4uPjoa+vjx9++AEFBQWYNGkSevbsiT179kAQBOX713fffRcWFhb4999/8d5778HAwAADBgwAALz11lvIz8/Htm3bYGlpiatXryI9PR137twBANy+fRvvvvsufHx8kJ+fj6VLl6JLly44evSo8kHRJSUl2LZtG8LCwrBjxw6kp6dj/PjxCA8PV95X4saNG+jWrRtmzpwJuVyOnTt3YuDAgbCwsMALL7wAACgoKMDNmzexbNkyrFy5EjKZDGPGjEF4eDh+//13AMDx48fRv39/jBs3DoMGDcKZM2cwfvx4AGVnuB7kflB8nJ2dcf36dcyYMQP9+vUr9xGpR61Zswbu7u4ICQlRbueB0NBQuLu7Y+3atXj55ZcBAK+++ioOHjxY5Z/T4sWL0a9fvwrbA4C8vLxKxx+WnJyMGzdu4IUXXii3bHBwMDZt2lTp+gqFAvn5+di9e3eV234cyQrc8uXLsXDhQuzYsQPOzs6SZIiIiEBERIRy2tnZGSEhIZJkedTA/0Xh31QF6lnK8ds77WFjaih1JCIiIiKNKC0txblz52BhYVHu6ioDA33I9DR/AZmBgT4sLS2fah1DQ0OUlJRg06ZNqFOnDgDghx9+QKNGjRAfH4+OHTuibdu2aNu2rXKdwMBAJCYmYtu2bRg9ejSAsmLVu3dvtG/fHgDQuHHjcvsZO3ZsuelWrVrB2toaBw4cUJZAfX19WFhY4LvvvoOBgQEAQCaToUePHsjIyICHhwe6d+9ebjtBQUE4cOAAfvnlF3Tr1g1A2QOoCwoK8P3338Pe3h4AMHXqVAwaNAhGRkaQy+VYtWoVmjdvjv/9738AgObNm+POnTsYP348zMzMlK/jxx9/rNxX48aNUadOHbRq1Qr37t1DvXr1Kn1NL126hEaNGj32z6Jhw4a4ePGicv66deuQn59f6bIP2NvbQ6FQVLpNExOTJ/6537t3DwDg6elZblk3Nzekp6dXun5paSmMjY3RqVOncr/fqpKkwC1atAizZ8/Gr7/+io4dO1a5rK2tLfT19ZGWllZuPD09HQYGBrC1tQUAODo6VrrMg3m6pqW9ACcnZ2yKu4aJmxKwdkgL6OnxTBwRERHVXl+Ht5A6wlPx8fFRljegrGBYWlri1KlT6NixI/Lz8zFv3jzs2LEDN27cQGFhIYqKiuDm5qZcZ8KECRg1ahSioqLw0ksvoVu3bnjxxReV80+cOIG5c+ciPj4eGRkZUCgUyMvLQ3JycrksLVq0UJY3AMqzaomJifDw8EBmZiZmz56N3bt3Iy0tDcXFxSgsLMRLL71UbjuOjo7K8gYA9erVgyiKuHnzJurXr4/Tp0+jQ4cO5dZ5sK+H/fLLL1i8eDHOnz+PnJwcKBQKAGVntB5X4FTx8DE6OTmptM6TzrJpG43/E8aDD/j9/vvvTyxvQNm/XrRo0aLCpY27du1Cy5YtlX9I7dq1w+7du5V/+A+WkcvlaNasWfUehAb4WOthwauN8VpzZ/x97ha+3HtB6khEREREVI3ee+89rFmzBtOmTcNff/2FhIQEDB06FEVFRcplhg4diitXrmD06NFITU1F165d8eabbwIou8Svc+fOKCoqwtdff41Dhw4hISEBNjY25bahivDwcOzevRuffPIJ/v77b+XNOB7dzsMFCQAEoewEw8PvwZ/k8OHD6NOnD1q3bo0tW7YgLi5O+dm1qnL7+PggMTHxsfNPnz4Nb29v5XTXrl1hZmZW5df333+vcu7KPDhRVNmJJHWdRNLoGbgJEyZg5cqV2LhxI7y8vJQHamhoCBsbGwBAbGwsBg8ejPXr16Nly5YAgClTpqBv375YvHgxwsLCEBUVhS1btmD79u3KbY8ePRpffPEFhg8fjsmTJ+PixYuYOXMmxo4dC3Nzc00eZrWa27MhTqTcweLd59DU1RrtPG2ljkREREREKkhKSsLt27eV73MTExNx584dBAQEAAD+/vtvDBgwQHmpIwCcO3euwnYcHR0xdOhQDB06FGFhYejfvz+++OILXLp0CTdv3sTHH3+MRo0aASg7g5WZmVlhG3FxcSguLlYWsAeP8Xo4yyeffILevXsD+O8yVlXPYj3g7++PAwcOlBt79JFh//77L6ysrDB//nzl2KFDh5647UGDBqFv377YtGkTXn/99XLzNm3ahIsXL2Lp0qXKsa+//lrlSyiflZubG+rVq4fo6OhyJ6d27dpV6ZnHaiFqEIBKvzp06KBcZu/evSIAce/eveXWXbt2rejl5SUaGBiIXl5e4rffflth+wcPHhTbtGkjGhkZifb29uKUKVPE4uJilfM5OTk966FVu127dil/vnQrVwz4cJfYdO4fYmp2voSpiIiIiNSvpKREPH36tFhSUiJ1lGcWHh4umpubi127dhUTEhLEgwcPik2bNhWbNm0qKhQKURRF8dVXXxW9vLzEgwcPimfOnBEnT54sWlhYiK6ursrtjB07Vty5c6d44cIF8dSpU2K/fv3EevXqiQqFQszIyBDlcrk4cuRI8cKFC+K+ffvE1q1bi8bGxuKsWbOU2+jQoYNobm4uhoeHi4mJieLu3btFd3d3sXfv3splmjdvLrZp00ZMSEgQT5w4IQ4cOFC0sLAo9z591qxZ5bKJ4n/v3S9fviyKoijGxcWJgiCIU6dOFc+ePStu27ZNdHd3L/f+/rfffhMBiCtXrhQvXbok/vTTT6Knp2elHeBRgwcPFk1NTcUlS5aI58+fF8+fPy8uWbJENDMzE99+++2n/WMSRVEUs7OzRVEUxczMTPHYsWPisWPHRADinDlzxGPHjonnz59XLrt161bRx8dHTElJUY4tXrxYlMvl4rfffiueOXNGnDp1qmhgYCAePXq00v2p8vtdVS/RaIHTdtpa4ERRFKNO3BBdp/4mvrHyoFhSqpAoFREREZH61ZQC16FDB3HJkiVivXr1RCMjI7FLly5icnKycpmUlBSxa9euoqmpqWhrayu+88474rRp08qVpDFjxoheXl6iXC4Xra2txdDQUPH48ePK+Vu3bhW9vb1FQ0ND0c/PT9y+fbvo6upaocANHjxYfP/990VbW1vRxMREfO2118TMzEzlMqdOnRLbtWsnGhsbi/Xq1RPnzp2rPIYHVClwoiiKGzduFBs0aCAaGhqKLVu2FLdv316hnM2aNUt0cHAQ5XK52KFDB3Hnzp0qFTiFQiGuXLlSbN68uWhsbKw8IbRixYoq16vKgwK3du3aJ55serDMw8criqI4f/580cXFRTQ0NBQbN24sRkVFPXZ/z1vgBFF8zkeW1yDOzs5ISUmROgYAIDo6usIdMadvO4nvD1/F1FBfjA72kCgZERERkXo9uHzP29v7me7Spw2GDBmC5ORkxMTESB2lRsvIyECXLl0AALt371Zervo07ty589R3GX0eqvx+V9VLJH2QNz2dGd384Wlnhs//SMKJlGyp4xARERERScrW1hZ79uxB79698ffff0sdRyNY4HSIsaEM/3ujCfQEAe/+mIB7hSVSRyIiIiIikpSVlRVmzpypvAFLTccCp2MC6lliSqgPLmfcw9xfT0sdh4iIiIgqsW7dOl4+SWrBAqeDhrVzR3svW2yKu4aok6lSxyEiIiIiIg1hgdNBenoCPu8XCBtTQ0zbehI3cwqkjkRERERUbR48HJr32qOa6MHv9YPf86fFAqej7Czk+KR3I9zJL8YH207yf3BERERUY+jp6UEmk6GggP9ITTVPQUEBZDIZ9PSerYrpV3Me0qDQhg7o2aQefkm4ga3x19G3mbPUkYiIiIiqRd26dXH9+nU4OTlBLpc/89kKoidRKBQoLS1V+35EUURBQQGuX78OOzu7Z94OC5yOm90jAPsvZGL2r4lo52kLB0u51JGIiIiInpu1tTUA4MaNGxp5c021V35+PoyNjTWyL5lMBjs7O+Xv97NggdNx1qaG+KR3Q4z87iimbT2BNUNa8F+oiIiIqEawtraGtbU1FAoFPy5CarN792506tRJ7fsRBOGZL5t8GAtcDdAlwAF9gpyw9dh1bD6agteau0gdiYiIiKjaVMebXqKqyGQyqSOojP811BCzegTAztwIH/16Gjey86WOQ0REREREasACV0NYmhhgft9GuFtYgg9/OcXLDIiIiIiIaiAWuBqko689egTWw+4zN/H7qTSp4xARERERUTVjgathPuzuD0tjA8zakYg7ecVSxyEiIiIiomrEAlfD1DU3wvQwP9y6W4j5u85KHYeIiIiIiKoRC1wN1K+5M9o0qIONsVdx+FKm1HGIiIiIiKiasMDVQIIg4JM+jWCor4dp206ioJgPvyQiIiIiqglY4Good1tTvPuyFy7duoflMReljkNERERERNWABa4GG/liA/jYm+OrmItIzrgndRwiIiIiInpOLHA1mIFMDx/1aoiiUgVm7Ujks+GIiIiIiHQcC1wN19LdBn2CnPD3uVuITkyXOg4RERERET0HFrhaYFqYH8yN9DH310TkFZVIHYeIiIiIiJ4RC1wtUNfcCJO6eOPGnQJ8seeC1HGIiIiIiOgZscDVEgNbu8Lf0QKr/7mECzdzpY5DRERERETPgAWultC/f0OT4lIRs3lDEyIiIiIincQCV4s0c7XGa82d8e+FDOw8mSp1HCIiIiIiekoscLXM1FBfWBobYN5vZ3hDEyIiIiIiHcMCV8vUMSu7oUlaTgG++vuS1HGIiIiIiOgpsMDVQgNa1oe3vRlW/n0RKVl5UschIiIiIiIVscDVQvoyPczs7o/CEgXm/35W6jhERERERKQiFrhaqr1XXXTys8dvJ1IRe/m21HGIiIiIiEgFLHC12PRufjCQCZj7WyIUCj5WgIiIiIhI27HA1WLutqYY1s4dp67n4OejKVLHISIiIiKiJ2CBq+XGdfSErZkhFkafxd2CYqnjEBERERFRFVjgajlzuQHeC/FBRm4Rvth7Qeo4RERERERUBRY4wqvNXBBQzwJr/r2Mq5l8rAARERERkbZigSPI9ARM7+aH4lIRC6P5WAEiIiIiIm3FAkcAgLYetnjZ1w6/nUjFsatZUschIiIiIqJKaLzA7du3Dz179oSrqysEQcDs2bOfuI6bmxsEQajwFRAQoFxm3bp1lS4TExOjvoOpYaaF+UKmJ+CTqDMQRT5WgIiIiIhI2+hreoe5ubnw9/fHgAEDMGHCBJXWOXLkCEpLS8tto3HjxnjjjTcqLJuamlpu2sbG5rny1iaeduZ4vYULfjh8FX+cTkdIgIPUkYiIiIiI6CEaL3BhYWEICwsDAEydOlWlderWrVtuevXq1SguLsaIESMqLOvgwNLxPCZ08sIvx65j/u9n0dHXDgYyXmVLRERERKQtdPLd+cqVK9GjRw84OjpWmNegQQM4OjoiODgYv/32mwTpdJuduRyjOnjgcsY9bIy9KnUcIiIiIiJ6iMbPwD2vuLg4HD16FB9//HG5cR8fH6xZswaBgYEoLCzEpk2b0KNHD3z99dcYPnx4pduKjIxEZGSkcjo7OxvR0dFqza+qgoICybK4lYqwMgQWRiXC4vZZGOsLkuQgIiIiIlI3Kd93PwtBlPBuFW5ubhgyZIhKNzJ54K233sJff/2FixcvQhCqLhZvvvkmjhw5gnPnzqm0bWdnZ6SkpKicRZ2io6MREhIi2f5/OnINU7acwJhgD0wJ9ZUsBxERERGROkn9vrsyVfUSnbqEMicnBxs3bsTIkSOfWN4AoG3btkhOTlZ/sBqobzNn+DqY45t/L+NGdr7UcYiIiIiICDpW4DZs2ICioiIMHTpUpeXj4+Ph4uKi5lQ1k0xPwLQwPxSWKLDojySp4xARERERESQocLm5uUhISEBCQgKKioqQlpaGhIQEnD59GgAQGxsLX19fxMbGVlh35cqV6NWrF+zt7SvMmz17NqKionDhwgUkJibiww8/xNq1axEREaH2Y6qpOnjXRXsvW2w7dh1n03KkjkNEREREVOtpvMDFxcUhKCgIQUFBSE1NxcqVKxEUFKR8tEBeXh6SkpKQl5dXbr1Dhw7hxIkTGDVqVKXbzcnJwdixY9GoUSO0b98eu3fvxubNmzF27Fi1H1NNNiXEF6IIfLaLZ+GIiIiIiKSm8btQBgcHo6r7pjxufuvWratc79E7SlL1aORsiW6NHbHzRCqOJN9GCzc+GJ2IiIiISCo69Rk4ksbkLj6Q6QlY8PvZKks0ERERERGpFwscPZG7rSleb+GCuCtZ2Jt0U+o4RERERES1FgscqeTdl71gpK+HhbuSUKrgWTgiIiIiIimwwJFK7C3kGNrOHWfT7mLH8etSxyEiIiIiqpVY4Ehlozt4wEKuj8//OIeiEoXUcYiIiIiIah0WOFKZpYkBRgd7IiUrHxtjr0odh4iIiIio1mGBo6cypK0b7MyNsGzPedwrLJE6DhERERFRrcICR0/F2FCGdzt5ISO3CN/8e1nqOEREREREtQoLHD2115q7wN3WFKv2XcLte0VSxyEiIiIiqjVY4OipGcj0MKmLN3ILS7B87wWp4xARERER1RoscPRMwho6oqGTBdYfvILr2flSxyEiIiIiqhVY4OiZ6OkJeC/EF0WlCnyx57zUcYiIiIiIagUWOHpmL3rZoqWbDX6KS0Fyxj2p4xARERER1XgscPTMBEHApC7eKFWIWPoXz8IREREREakbCxw9l1YN6qC9ly22JVzH+fS7UschIiIiIqrRWODouUV09oYoAkt28ywcEREREZE6scDRcwuqb41OfnbYeTIViTfuSB2HiIiIiKjGYoGjajGxszcAYPGf5yROQkRERERUc7HAUbUIqGeJbo0csfvMTRy7miV1HCIiIiKiGokFjqrNxM5e0BOASJ6FIyIiIiJSCxY4qjaeduboFeSEf85n4NClTKnjEBERERHVOCxwVK3efdkL+noCPv8jCaIoSh2HiIiIiKhGYYGjauVaxxT9mrvgSHIW9p3PkDoOEREREVGNwgJH1W58R08YyvR4Fo6IiIiIqJqxwFG1q2dljAGt6uNEyh38eTpd6jhERERERDUGCxypxZiXPCA30EPkn+egUPAsHBERERFRdWCBI7WwM5cjvK0bzqbdxc6TqVLHISIiIiKqEVjgSG3eftEDZkb6WPznOZSUKqSOQ0RERESk81jgSG2sTQ0x7AV3XMq4h+0JN6SOQ0RERESk81jgSK2Gv+AOC7k+lv51HsU8C0dERERE9FxY4EitLI0NMPLFBrh6Ow9bjqZIHYeIiIiISKexwJHaDWnnDmsTAyzbcwGFJaVSxyEiIiIi0lkscKR2Zkb6eLuDB65n5+OnI9ekjkNEREREpLNY4EgjBrdxg62ZEb7YewEFxTwLR0RERET0LFjgSCOMDWUYHeyB9JxCfH/4qtRxiIiIiIh0EgscacybrerD3sIIK2IuIK+oROo4REREREQ6hwWONEZuIMO4lzyRkVuE9QevSB2HiIiIiEjnsMCRRr3WwgVOVsZY+fdF5BbyLBwRERER0dPQeIHbt28fevbsCVdXVwiCgNmzZz9xnSFDhkAQhApfj4qKikKTJk1gZGQENzc3LFq0SA1HQM/DSF+G8R09kZVXjLX/XpY6DhERERGRTtF4gcvNzYW/vz8WLlwIBwcHlddr06YNUlNTy309LC4uDj179kRISAgSEhIwZ84czJgxA1988UV1HwI9p77NnFHfxgSr/7mEO/nFUschIiIiItIZGi9wYWFh+PTTT/H666/DyMhI5fUMDQ3h4OBQ7uthkZGRCAoKwoIFC+Dn54fw8HCMHz8eCxYsgCiK1X0Y9BwMZHp492Uv5BSU4Jt/Lkkdh4iIiIhIZ+jMZ+Di4+Ph4OAAd3d39O3bF4mJieXm79+/H6GhoeXGQkNDkZKSgitXeMMMbdMryAkN6ppizf5kZN0rkjoOEREREZFO0Jc6gCpCQkLQs2dPeHp6Ij09HQsXLkSLFi0QGxuLhg0bAgBSU1MrnJV7MJ2amgo3N7cK242MjERkZKRyOjs7G9HR0eo7kKdQUFCgNVnUpWNdBb6+pcC0b3ejt4dM6jhEREREVAvp2vtunShw/fv3V/7cqFEjtG/fHn5+fli6dClWrVr1zNuNiIhARESEctrZ2RkhISHPlbW6REdHa00WdemsELHvf/vwd2o+5g0Ohq2Z6pfUEhERERFVB117360zl1A+zMjICM2aNUNycrJyzNHREWlpaeWWS09PV84j7aOnJ2BiJ2/kF5fiq5iLUschIiIiItJ6OlngSkpKcOLECbi4uCjH2rVrV+HU565du+Ds7AxXV1dNRyQVhQQ4wN/RAt8duoL0nAKp4xARERERaTVJHiOQkJCAhIQEFBUVIS0tDQkJCTh9+jQAIDY2Fr6+voiNjVUuHxERgf379yM5ORmHDx/G66+/jitXrmDs2LHK7U6cOBHx8fGYNm0azp49i/Xr12PZsmWYOnVqpc+MI+2gpycgorM3CksUWL73gtRxiIiIiIi0msYLXFxcHIKCghAUFITU1FSsXLkSQUFBCAsLAwDk5eUhKSkJeXl5AACZTIbTp0+jb9++8Pb2Rp8+fVBcXIwDBw6gadOmyu22aNEC27dvR1RUFAIDAzFz5kzMnTsX48aN0/Qh0lN62c8OgS5W2Bh7Ddez86WOQ0RERESktQSRD0lTcnZ2RkpKitQxAOjehymf19/nbiF8TSz6t6yPT/s0kjoOEREREdUS2vi+u6peopOfgaOa50UvWzR3tcbmuGu4mpkndRwiIiIiIq3EAkdaQRAERHTxRolCxNI956WOQ0RERESklVjgSGu09bBFmwZ1sDU+BZcz7kkdh4iIiIhI67DAkVaJ6OINhQj8b/c5qaMQEREREWkdFjjSKi3cbNDeyxa/HL+B8+l3pY5DRERERKRVWOBI60zq4gNRBJbs5mfhiIiIiIgexgJHWqeJixVe9rXDzpOpOH0jR+o4RERERERagwWOtNLEzt4AgMX8LBwRERERkRILHGmlhk6WCA1wwJ+n03EiJVvqOEREREREWoEFjrTWxM7eEAQg8k+ehSMiIiIiAgD9qmYOGzbsqTe4cOFC2NraPnMgogd8HMzRvXE9/Hr8Bo5eyUIzV2upIxERERERSarKArdu3Tq0adMGhoaGKm3s33//xYwZM1jgqNpM6OSFnSduIPLPJHw/orXUcYiIiIiIJFVlgQOAbdu2wc7OTqWNmZubP3cgood51DVDryAnbI2/jkOXMtG6QR2pIxERERERSabKz8AtXrwYFhYWKm9s4cKFqFu37nOHInrYuy97QaYnIPLPcxBFUeo4RERERESSqbLAvfvuu5DL5SpvbPTo0TwLR9XOtY4pXm3qjNjLt7H/QqbUcYiIiIiIJMO7UJJOGP+yJwxkAj7/M4ln4YiIiIio1nriZ+AeeOmllyAIQoVxQRAgl8vh7e2NoUOHonHjxtUakAgAnK1N8HoLF2w4dBUxSbfwkq9qn8skIiIiIqpJVD4D5+rqivj4eFy4cAFWVlawsrLCxYsXcezYMZiammLnzp1o3rw59u/fr868VIuNe8kLhvp6/CwcEREREdVaKhe4+vXro0+fPrh06RK2bt2KrVu34tKlS+jTpw/8/f1x9uxZ9O/fH9OmTVNnXqrFHCzleLNVfZy8fgd/nE6XOg4RERERkcapXOBWr16NKVOmQF//v6suZTIZJk+ejK+++gp6enqYOHEiTp06pZagRAAwOtgDcgM9LP7zHBQKnoUjIiIiotpF5QJ39+5dpKdXPOuRlpaG3NxcAICFhQVKS0urLx3RI+zM5Qhv44azaXcRdSpV6jhERERERBqlcoHr2rUr3nrrLezevRt3795Fbm4u/vzzT4waNQphYWEAgPj4eHh4eKgtLBEAjOrgAVNDGZbsPo9SnoUjIiIiolpE5QK3cuVK+Pr6okuXLrCysoKlpSVCQ0Ph6+uLlStXAgAcHR2xZMkSdWUlAgDYmBpiaDt3XLiZix3Hr0sdh4iIiIhIY1R+jICNjQ127NiB8+fP48yZMwAAf39/eHp6Kpdp165d9SckqsRb7Rvg2wPJ+N/u8+jRuB70ZXykIRERERHVfCoXuAe8vLxgYWGBunXrQk+Pb5pJGpYmBhje3h1Ldp/H1mPX8VpzF6kjERERERGpncoNrKSkBNOnT4eFhQWcnJyQnJwMAJgyZQpWrFihrnxEjzXsBXdYGhtg6V/nUVSikDoOEREREZHaqVzg5s+fj++//x5ffvklDA0NlePNmzfH+vXr1RKOqCoWcgOMfLEBUrLysfnoNanjEBERERGpncoF7rvvvsPKlSsxaNAgyGQy5XjDhg1x7tw5tYQjepIhbd1Qx9QQX+y5gIJiPsKCiIiIiGo2lQvc1atX4evrW2FcX18f+fn51RqKSFWmRvp4u4MHUu8U4MfYq1LHISIiIiJSK5ULnJubG44fP15h/I8//qi02BFpysDWrqhrboQvYy4iv4hn4YiIiIio5lK5wI0ZMwbvvvsudu3aBQA4e/Ysli5diunTp2P8+PFqC0j0JMaGMowN9sCtu4XYcOiK1HGIiIiIiNRG5ccIjB8/HpmZmejbty/y8/PRvXt3yOVyfPDBBxg6dKg6MxI90Rst62PlvktY8fdFDGhVH6ZGT/2EDCIiIiIirfdUD3KbPXs2MjIyEBsbi0OHDuHWrVuYMWOGurIRqUxuIMO4jp64fa8I6w4kSx2HiIiIiEgtnvpJ3MbGxmjevDmaN2+OCxcuIDs7Ww2xiJ5ev2YucLY2xqp9l5BTUCx1HCIiIiKiaqdygZs8eTK++eYbAIAoiujUqROCgoLg4uKC/fv3qy0gkaoM9fXwTkcv3Mkvxpp/L0sdh4iIiIio2qlc4DZv3oyAgAAAQHR0NE6cOIGDBw9iyJAhmD59utoCEj2NPk2d4FbHBN/8cxl38ngWjoiIiIhqFpULXHp6OpydnQEAu3btQr9+/dCqVSu88847lT5egEgK+jI9vNvJC3cLS7D6n0tSxyEiIiIiqlYqFzhra2ukpaUBAPbs2YPg4GAAZZdTlpby2VukPV4JdIKnnRnW7r+M2/eKpI5DRERERFRtVC5woaGheOuttzBs2DBcvnwZISEhAIDExES4ubmpKx/RU5PpCZjQyQv3ikqx8u+LUschIiIiIqo2Khe4pUuXon379rh9+za2bNkCKysrAMDRo0fx2muvqbzDffv2oWfPnnB1dYUgCJg9e3aVy5eUlOCDDz5AUFAQzM3NYWtri5CQEBw+fLjccuvWrYMgCBW+YmJiVM5GNUdYQ0f4Opjj24PJuHm3QOo4RERERETVQuWnHZubm2Pp0qUVxufNm/dUO8zNzYW/vz8GDBiACRMmPHH5wsJCHDx4EJMmTUJQUBBEUcT8+fPRqVMnJCQkwMPDo9zyqamp5aZtbGyeKh/VDHp6AiZ29sao745iRcxFzOoRIHUkIiIiIqLnpnKBqy5hYWEICwsDAEydOvWJy5uammLv3r3lxtatWwcbGxtERUVh/Pjx5eY5ODhUX1jSaV387dHIyRLfH76KkS82gKOlsdSRiIiIiIieS5UFzsLCApcuXYKtra1KG6tXrx4OHDig9s/E5eXlobi4GKamphXmNWjQAPn5+fDx8cHkyZPRvXv3x24nMjISkZGRyuns7GxER0erJfPTKigo0JosuqxDHQVOXlfg/W/3YoCPTOo4RERERKRldO19d5UFLjc3F/v374e1tbVKG7tz5w4UCkW1BKvKhAkTYG9vX+6zdz4+PlizZg0CAwNRWFiITZs2oUePHvj6668xfPjwSrcTERGBiIgI5bSzs7Py5ixSi46O1posuqyLKGJ/9gEcuH4HHw9qD2drE6kjEREREZEW0bX33U+8hLJPnz4QRVGljQmC8NyBnuT999/Hjh07sGfPHpiZmSnH27RpgzZt2pSbvnXrFhYsWPDYAkc1nyAIiOjsjUHfxGLZXxew4NXGUkciIiIiInpmVRa4y5cvP/UGHzzsu7qJooh3330XmzZtwt69e9GoUaMnrtO2bVts3rxZLXlId7zgaYtW7jbYfPQa3nqxATztzJ68EhERERGRFqqywLm6umoqR5VKS0sxYsQIREdHIyYmBn5+fiqtFx8fDxcXFzWnI20nCAKmdvVFn+UH8Fn0Wawc1FzqSEREREREz0Tjd6HMzc3FhQsXAABFRUVIS0tDQkICDA0N4e/vj9jYWAwePBjr169Hy5YtUVJSgv79+2PPnj3Yvn07rK2tkZaWBgAwNjaGpaUlAGD27Nlo2bIlvL29lZ+BW7t2LZYtW6bpQyQt1LS+NUIC7BGdmI74q1loWl+1z3USEREREWkTjRe4uLg4vPTSS8rplStXYuXKlXB1dUVycjLy8vKQlJSEvLw8AEBKSgp+/vlnAMCLL75Yblvh4eFYt24dACAnJwdjx45FWloajI2N4evri82bN6Nv376aOTDSeu+F+OLP0+mY//tZbBrZWiOf2SQiIiIiqk4aL3DBwcFV3hTl0flubm4q3UTl0UcCED3K084MrzV3wY9HriEm6RZe8rWTOhIRERER0VPRkzoAkSZN6OQNI309LNh1FqUK1e6uSkRERESkLZ66wBUWFiIxMRGJiYkoLCxURyYitXGwlGNoO3ecTbuLXxKuSx2HiIiIiOipqFzgFAoFpk+fDmtrazRu3BiNGjWCtbU1ZsyYoZGHdxNVl9EdPGBpbIDP/ziHwpJSqeMQEREREalM5QL34YcfYsWKFZg/fz7i4+Nx7NgxfPrpp1ixYgVmzZqlzoxE1crSxABjX/LA9ex8bDh0Veo4REREREQqU/kmJt9++y1WrVqFV199VTkWGBgIR0dHTJo0CR999JFaAhKpw+A2bli7Pxlf7DmPfs2dYSE3kDoSEREREdETqXwG7ubNm2jSpEmF8aCgINy6das6MxGpndxAhomdvZGVV4zV+y5JHYeIiIiISCUqFzhPT09s3bq1wvjWrVvh4eFRraGINKFvU2d42Znh638u42ZOgdRxiIiIiIieSOVLKKdMmYLhw4cjLi4O7du3BwD8888/2LZtG9asWaO2gETqItMTMCXUF2+tj8PSPecxr1cjqSMREREREVVJ5QIXHh4OW1tbLFiwALNnzwYABAQEYMeOHejatau68hGpVSc/OzR3tcbG2GsY/kIDuNuaSh2JiIiIiOixnuo5cN26dcO+ffuQmZmJzMxM7Nu3j+WNdJogCJja1RelChGLopOkjkNEREREVCWVz8A9EBMTg1OnTgEAGjZsiODg4OrORKRRLdxs0MnPHjtPpmLYlSw0c7WWOhIRERERUaVULnApKSno27cvjhw5AktLSwDAnTt30Lx5c2zZsgUuLi5qC0mkbu939cXepJv4eOdpbBndFoIgSB2JiIiIiKgClS+hHDlyJIqLi3Hy5ElkZWUhKysLJ0+ehEKhwKhRo9SZkUjtPO3M8Gar+oi/mo3fT6VJHYeIiIiIqFIqF7iYmBisWLECAQEByrGAgAB88cUXiImJUUc2Io1692UvmBnpY/7vZ1FYUip1HCIiIiKiClQucLa2tjAxMakwbmJiAhsbm2oNRSSFOmZGGPOSB67ezsN3B69IHYeIiIiIqAKVC9yUKVMwdepUZGdnK8eys7PxwQcfYOrUqerIRqRxw9q5w8nKGMv2XEB2XpHUcYiIiIiIylH5JiZbtmxBfHw8nJ2d4ePjAwBISkqCvr4+8vLysG3bNuWye/bsqf6kRBogN5DhvRAfTNiUgGV7LmBmd3+pIxERERERKalc4Nzc3ODm5lZurHHjxtWdh0hyrwTWw5r9l7H+YDIGtXaFGx/uTURERERaQuUCt3btWnXmINIaenoCpof54fVVh7Aw+iyWv9lM6khERERERACe4jNwRLVJqwZ10MXfHlEn0xCXfFvqOEREREREAJ7iDNywYcOqnL9mzZrnDkOkTd7v6os9Z29i3s4z2DaGD/cmIiIiIumpXOAuX75cbrq4uBhnz55FSUkJmjZtWu3BiKTWoK4ZBrZ2xboDyfjtRCp6BNaTOhIRERER1XIqF7i9e/dWGMvPz8fQoUPRqVOnag1FpC3eedkLW+JTsGDXWXT2t4fcQCZ1JCIiIiKqxZ7rM3DGxsaYMWMG5s2bV115iLSKjakhxr3kiZSsfKzdnyx1HCIiIiKq5Z77JiZ3795FVlZWdWQh0kpD2rnBtY4JvthzHjdzCqSOQ0RERES1mMqXUK5fv77ctCiKuHHjBlatWoXg4ODqzkWkNYz0ZZjRzR9vrY/DwugkLOoXKHUkIiIiIqqlVC5wQ4YMKTctCALs7OzQqVMnLFq0qLpzEWmVTn52aO9li5+PpmBQa1cEulhJHYmIiIiIaiGVL6FUKBTlvkpLS5GamorvvvsO9vb26sxIJDlBEDCzuz9kegLm/JoIURSljkREREREtZBKBa64uBg9e/bE+fPn1Z2HSGt525tjYKv6iL+ajR3Hb0gdh4iIiIhqIZUKnIGBAfbt2weZjLdQp9ptYmdvWJkY4NOos8grKpE6DhERERHVMipfQtm9e3f8+uuv6sxCpPWsTAwR0dkbaTkF+CrmotRxiIiIiKiWUfkmJs2aNcPcuXORkJCAli1bwtTUtNz8wYMHV3s4Im00oGV9bDh0BSv3XcJrLVzgbG0idSQiIiIiqiUEUcW7MejpPf5knSAIKC0trbZQUnF2dkZKSorUMQAA0dHRCAkJkToGPca/5zMw8JvD6NbYEV8OaCp1HCIiIiJ6Rtr4vruqXvLMd6F89I6URLXJC1626Oxvj50nUnH4UqbUcYiIiIiollC5wBFRedPD/GAo08PsX0+jpFQhdRwiIiIiqgVU/gzcvn37Kh0XBAFyuRyenp6wtrautmBE2s7N1hQj2rtjecxFfH/4KsLbukkdiYiIiIhqOJULXHBwMARBAADlQ4wfntbT00Pfvn2xbt06GBsbqyEqkfYZ19ET249dx6I/khDWyBF1zY2kjkRERERENZjKl1D++uuv8PDwwPLly5GQkICEhAQsX74cnp6e+Omnn7BmzRr8888/+PDDD9WZl0irmBjq48Me/rhbUIL5v5+VOg4RERER1XAqF7hPP/0Un3/+OUaNGoXGjRujcePGGDVqFD777DMsXrwYgwcPxpIlS7B9+/Yqt7Nv3z707NkTrq6uEAQBs2fPVmn/69atg4+PD4yMjODj44P169dXWObw4cNo27Yt5HI5HB0dMXXqVJSU8GHLpF4hAQ5o72WLLfEpiEu+LXUcIiIiIqrBVC5wR48eha+vb4VxPz8/xMfHAwBatmz5xNvw5+bmwt/fHwsXLoSDg4NK+96+fTuGDx+OkSNH4vjx4xg5ciSGDh1a7sHi165dQ+fOneHl5YW4uDh89dVXWL16Nd5//31VD5HomQiCgDmvBMBAJmDmL4m8oQkRERERqY3KBc7JyQnffvtthfFvv/0Wzs7OAIDMzEzY2NhUuZ2wsDB8+umneP3112FkpNrnhRYuXIi+ffti0qRJ8PX1xaRJk9CnTx8sWLBAucyKFStgamqKNWvWoGHDhujZsyc++ugjfPnll7h7966qh0n0TBrUNcPIFxvgTGoONhy6InUcIiIiIqqhVC5wH330ET799FO0bdsWkyZNwuTJk9GuXTvMnz8f8+bNA1B2eWRoaGi1BiwqKsKRI0cqbDc0NBSxsbEoLi4GAOzfvx+dO3eGTCYrt0xBQQGOHj1arZmIKjP2JU84WRnj8z/O4dbdQqnjEBEREVENpPJdKPv37w9vb28sXrwYe/fuBQD4+/tj2bJlaNq0KQBg4sSJ1R4wIyMDJSUlFS63dHBwQHFxMTIyMuDo6IjU1FS0atWqwjIAkJqaWum2IyMjERkZqZzOzs5GdHR0NR/BsykoKNCaLKS67s4KrDylwDvf/IUhfrInr0BEREREktK1990qFzgAaNasGTZs2KCuLBoXERGBiIgI5bSzszNCQkIkTPSf6OhorclCqusiijiz9gj2nbuFiF4t0MKt6kuKiYiIiEhauva+W+VLKKVia2sLfX19pKWllRtPT0+HgYEBbG1tAQCOjo6VLvNgHpEmPLihiaFMDzO3n+INTYiIiIioWml9gTM0NESLFi0qnNbctWsXWrZsCQMDAwBAu3btsHv3bigUinLLyOVyNGvWTKOZqXZztzXFWy+642zaXXx7kDc0ISIiIqLqo/ECl5ubq3wQeFFREdLS0pCQkIDTp08DAGJjY+Hr64vY2FjlOlOmTMHPP/+MxYsXIykpCYsXL8aWLVswdepU5TKjR49Gbm4uhg8fjsTEROzYsQMzZ87E2LFjYW5urunDpFpu3EtecLY2RuQfSbiRnS91HCIiIiKqITRe4OLi4hAUFISgoCCkpqZi5cqVCAoKQlhYGAAgLy8PSUlJyMvLU67Tq1cvfPPNN1ixYgUaNWqEFStWYO3atejRo4dyGRcXF/zxxx9ISkpCs2bNMHLkSIwYMQLz58/X9CESwdhQhnm9GuJeUSlm7UiUOg4RERER1RCCKIqi1CG0hbOz8xMfRK4puvZhSqrc+I3H8OvxG/hqYDOENlTtwfVEREREpDna+L67ql7yVGfgVq9ejUaNGsHExASXLl0CAHz66afYvHnz86ckqoFmdveDuVwfs3ck4m5BsdRxiIiIiEjHqVzgvvrqK0ydOhWvvfYaHj5p5+joiOXLl6slHJGuszOX4/2uvkjLKcDnf5yTOg4RERER6TiVC9wXX3yBVatWYebMmdDX/+/xcU2bNkViIj/jQ/Q4/VvURzNXa3x7MBnHr2VLHYeIiIiIdJjKBe7ixYto0aJFhXFTU1Pk5ORUayiimkRPT8AnvRtBJgiYtvUknw1HRERERM9M5QLn6OiICxcuVBg/cOAAGjRoUK2hiGoaHwdzjOrQAKdTc7DuQLLUcYiIiIhIR6lc4AYPHoxJkybh7NmzEAQBd+/exY4dOzBlyhQMGzZMnRmJaoTxHb3gWscEn/9xDilZeU9egYiIiIjoESoXuBkzZqBJkyYICAhAbm4umjZtit69e6Nbt26YNGmSOjMS1Qhyg7Jnw+UXl+LDXxLBJ3gQERER0dPSf/Ii9xfU18e6deswa9YsHD16FAqFAs2aNYOHh4c68xHVKO296qJXk3rYnnADO47fQM8mTlJHIiIiIiIdonKBe8Dd3R3u7u7qyEJUK3zYIwD/nM/AnF9P4wVPW9QxM5I6EhERERHpiCoL3Ny5c1Xe0IcffvjcYYhqAxtTQ8zpGYBxPxzDrB2J+GJAU6kjEREREZGOqLLArV27ttz0rVu3kJeXB0tLSwDAnTt3YGJiAjs7OxY4oqfQrZEjdvjfwG8nUtEjMA0hAQ5SRyIiIiIiHVDlTUwuX76s/Fq4cCH8/f1x8uRJZGVlISsrCydPnkTDhg0xf/58TeUlqhEEQcC8Xg1hIdfHjO2ncCevWOpIRERERKQDnuoulMuWLUNAQIByLCAgAEuWLMH06dPVEo6oJrOzkGNmd3/culuIeTtPSx2HiIiIiHSAygXuypUrMDExqTBuYmKClJSUag1FVFu82swZL3rXxeajKfj73C2p4xARERGRllO5wDVt2hRTp05Fdna2ciw7OxvTpk1D06a8CQPRsxAEAZ/2aQRTQxk+2HoSuYUlUkciIiIiIi2mcoFbsWIFTpw4AWdnZzRr1gzNmjWDs7Mzjh07huXLl6szI1GN5mRljPfD/HA9Ox/zfz8jdRwiIiIi0mIqPwcuMDAQFy5cwIYNG3DmTNmbzDFjxmDAgAEwNjZWW0Ci2uDNlvXx2/Eb2HDoKro2dEQ7T1upIxERERGRFnqqB3nL5XKMGDFCXVmIai09PQGL+gUiZMk+vLf5OHZNfBEWcgOpYxERERGRllH5EkoiUi8XGxPM6OaPG3cKMGcH70pJRERERBWxwBFpkf4tXRDsUxdb4lPwR2Ka1HGIiIiISMuwwBFpEUEQsKBvY1gaG+CDbSeRmVsodSQiIiIi0iIscERaxt5Cjrk9A5CRW4Tp205BFEWpIxERERGRlnjqAldYWIjExEQkJiaisJBnB4jU4ZXAeujWyBG7EtPwS8INqeMQERERkZZQucApFApMnz4d1tbWaNy4MRo1agRra2vMmDEDCoVCnRmJah1BEPBRr4awNTPCh7+cQtqdAqkjEREREZEWULnAffjhh1ixYgXmz5+P+Ph4HDt2DJ9++ilWrFiBWbNmqTMjUa1kY2qI+X0aIaegBO/9fBwKBS+lJCIiIqrtVH4O3LfffotVq1bh1VdfVY4FBgbC0dERkyZNwkcffaSWgES1WSd/e7zRwgU/HrmGNfsvY0T7BlJHIiIiIiIJqXwG7ubNm2jSpEmF8aCgINy6das6MxHRQ2Z294e7rSkW7kpC4o07UschIiIiIgmpXOA8PT2xdevWCuNbt26Fh4dHtYYiov+YGunjf280gUIU8e6PCcgvKpU6EhERERFJROVLKKdMmYLhw4cjLi4O7du3BwD8888/2LZtG9asWaO2gEQENHa2QkQXbyzclYSPo05jXq9GUkciIiIiIgmoXODCw8Nha2uLBQsWYPbs2QCAgIAA7NixA127dlVXPiK6b9SLHth37hY2HLqKYG87dPK3lzoSEREREWmYygUOALp164Zu3bqpKwsRVUGmJyDytSbo+r9/MGXLCexybg87C7nUsYiIiIhIg576Qd5EJJ16Vsb4tE8j3L5XhEmb+WgBIiIiotqmyjNw7u7uEARBpQ1dunSpWgIRUdXCGjnitebO+CkuhY8WICIiIqplqixw4eHhygJXWFiIL7/8Et7e3njhhRcAAPv370dSUhLGjRun/qREpDSrRwDikrOwYNdZNHezQRMXK6kjEREREZEGVFngHtysBADGjBmDkSNH4rPPPiu3zNSpU5GZmamWcERUOVMjfXwxoCl6Ld+PcT/EY+f49rA0MZA6FhERERGpmcqfgdu0aRNGjhxZYXz48OHYtGlTtYYioifzr2eBWT38kZKVj/d+Pg5R5OfhiIiIiGo6lQtcaWkpzpw5U2G8sjEi0owBLeuje2NH/HE6HesOJEsdh4iIiIjUTOUC179/f4wYMQKrVq3CyZMncfLkSaxcuRKjRo3CG2+8oc6MRPQYgiDg0z6N4FbHBJ9EncGJlGypIxERERGRGqn8HLglS5ZALpfj3XffRVFREURRhKGhId5++23Mnz9fnRmJqArmcgN8MaAp+qw4gLE/xOO38e1haczPwxERERHVRCqdgSstLUViYiLmzJmDzMxMJCQk4Pjx47h9+7ay2D2NqKgoNGnSBEZGRnBzc8OiRYueuI6bmxsEQajwFRAQoFxm3bp1lS4TExPzVPmIdE1DJ0vM7O6Pa7fz8f6WE/w8HBEREVENpdIZOD09PbRu3RpnzpyBh4cHGjVq9Mw7jIuLQ8+ePREREYGNGzciNjYWo0aNglwur/JxBEeOHEFpaalyOjc3F40bN6708s3U1NRy0zY2Ns+cl0hXDGxVH4cuZWLniVSsO5CMoe3cpY5ERERERNVMpQInCAK8vLyQkZEBDw+P59phZGQkgoKCsGDBAgCAn58fTp06hQULFmDs2LGPfXB43bp1y02vXr0axcXFGDFiRIVlHRwcnisjkS4SBAHz+zTC6Rs5+HjnGTR0skQLN/7jBREREVFNovJn4ObOnYvJkyfju+++g5ub2zPvcP/+/QgPDy83FhoaikWLFuHKlSsqb3vlypXo0aMHHB0dK8xr0KAB8vPz4ePjg8mTJ6N79+6VbiMyMhKRkZHK6ezsbERHR6t+MGpUUFCgNVlItwxyFzH/tojhaw5iRnMZLI0q/0cRIiIiItK9990qF7jJkycjPT0dHh4esLW1hampabn5ly5dUmk7qampFc6QPZhOTU1VqcDFxcXh6NGj+Pjjj8uN+/j4YM2aNQgMDERhYSE2bdqEHj164Ouvv8bw4cMrbCciIgIRERHKaWdnZ4SEhKh0HOoWHR2tNVlI99h63sA7G49h8w0L/PBWaxjIVL7hLBEREVGtomvvu1UucEOGDFFjjKezcuVKuLu7o0uXLuXG27RpgzZt2pSbvnXrFhYsWFBpgSOqqV4JrIeEq9lYs/8yPt55BrNfCXjySkRERESk9VQucLNmzaqWHTo6OiItLa3cWHp6unLek+Tk5GDjxo2YMWPGYz8v97C2bdti8+bNzxaWSIdNC/PFqRt3sO5AMoLqW6FnEyepIxERERHRc9L4dVXt2rWrcI3prl274OzsDFdX1yeuv2HDBhQVFWHo0KEq7S8+Ph4uLi7PlJVIlxnI9PDFgCDYWxjh/S0ncTYtR+pIRERERPScVD4DBwD//PMPvv/+eyQnJ6OoqKjcvD179qi0jYkTJ6Jt27aYNm0awsPDERsbi2XLluGzzz5TnlGLjY3F4MGDsX79erRs2bLc+itXrkSvXr1gb29fYduzZ89Gy5Yt4e3trfwM3Nq1a7Fs2bKnOUyiGsPOXI7lbzbFG6sOYdR3R7Fj3At8yDcRERGRDlP5DNyPP/6Ijh074tq1a9i7dy9MTEyQkpKC+Pj4p7orZYsWLbB9+3ZERUUhMDAQM2fOxNy5c8s9Ay4vLw9JSUnIy8srt+6hQ4dw4sQJjBo1qtJt5+TkYOzYsWjUqBHat2+P3bt3Y/PmzRg7dqzK+YhqmmauNpjZ3R9XMvMwfuMxlJQqpI5ERERERM9IEEVRVGXBJk2aIDw8HBMnToS5uTmOHz8ONzc3DBkyBD4+Ppg+fbq6s6qds7MzUlJSpI4BQPfuhkPaTRRFvL/lJDbFXcPwF9wxs7u/1JGIiIiItII2vu+uqpeofAbuwoUL6NmzJwDAwMAAeXl50NPTw3vvvYevvvqqepISkVoIgoCPejVECzdrfPPvZfx05JrUkYiIiIjoGahc4MzMzFBYWAig7LltD577JooisrKy1JOOiKqNob4eVgxsBicrY0zffhJxybeljkRERERET0nlAtesWTPExsYCAF5++WVMmzYNX375JcaMGYOmTZuqLSARVR9bMyOsHtwcBjI9vL3hKK5n50sdiYiIiIiegsoFbt68ecqblcyZMwfu7u6YNm0aioqKeAklkQ7xr2eByNeaICO3CCO+jUNeUYnUkYiIiIhIRSo/RiAoKEj5s42NDX777Te1BCIi9Qtt6ICIzt6I/PMcJv10HF8OaAo9PUHqWERERET0BCqfgevYsSOys7MrjOfk5KBjx47VmYmINGB8R090a+yI30+l4fM/k6SOQ0REREQqULnAxcTEVHh4NwAUFRVh37591RqKiNRPEAQsejUQgS5W+HLvRfwYe1XqSERERET0BCoXOKDsDd/DRFHE33//DTs7u2oNRUSaYWwow9eDm8PFxhjTt5/CvnO3pI5ERERERFV4YoHT09ODTCaDIAhwcHCATCZTfunr6+O1117DwIEDNZGViNSgrrkR1g5pCVNDGcZ8H48zqTlSRyIiIiKix3jiTUzWrl0LURQxbNgwLFmyBJaWlsp5hoaG8PDwQMuWLdUakojUy9PODKsGN8egbw5j2Loj2DamHRws5VLHIiIiIqJHPLHAhYeHAwDc3d3Rtm1bGBgYqD0UEWle6wZ18NmrgZiwKQHD1h3BT2+3gZmRyjeqJSIiIiINUPkzcB06dEB2djYiIyMxevRoZGRkAAD279+Py5cvqy0gEWlOryAnTOrsjdOpORj3QzyKSxVSRyIiIiKih6hc4E6cOAFfX18sX74cX3/9NXJyyj4nEx0djQ8//FBtAYlIs8Z19ES/Zs6ISbqF97echCiKUkciIiIiovtULnCTJk3CwIEDcf78ecjl/302JiQkBP/++69awhGR5gmCgE/6NEJHXztsiU/B/N/PSh2JiIiIiO5TucDFxcVh3LhxFR4l4OzsjLS0tGoPRkTSMZDp4csBTdHM1Ror913Cqn0XpY5ERERERHiKAicIQqUP8r527Vq5O1MSUc1gbCjDN+HN4W1vhk+izmLL0RSpIxERERHVeioXuI4dO2LFihXKaUEQUFBQgI8++ghdunRRSzgikpaViSHWD2sFJytjTNlyAnvOpksdiYiIiKhWU7nALViwAFu2bEHr1q1RWFiIt99+G15eXkhMTMTHH3+szoxEJCEHSznWD28JS2MDjPk+HnHJt6WORERERFRrqVzgPDw8cPz4cXTt2hVdunSBTCbD0KFDER8fDxcXF3VmJCKJedQ1w9ohLaAnCBi27ggSb9yROhIRERFRrfRUT+m1s7PDrFmzyo2Jooi1a9di6NCh1RqMiLRLoIsVVg1qjmHfHsGgb2KxaWRreNmbSx2LiIiIqFZR6QxcaWkpEhMTcf78+XLj27ZtQ0BAAN5++221hCMi7fKCly1WvNkUOfnFGPD1YVzOuCd1JCIiIqJa5YkF7ty5c/Dx8UHjxo3h6+uL119/HVlZWejSpQsGDRqETp064dy5c5rISkRa4GU/eyztH4TM3EK8ufoQUrLypI5EREREVGs8scB98MEHcHJywvbt29GnTx/8/PPPeOGFF9CwYUNcuXIFS5cuhaurqyayEpGWCGvkiM9fC0RqTgEGrD6MtDsFUkciIiIiqhWeWOAOHjyIzz77DD169MCKFSsgiiKGDRuGyMhI1KlTRxMZiUgL9Q5yxse9GuHq7Ty8+fUhZOQWSh2JiIiIqMZ7YoFLT09H/fr1AQC2trYwNjZGWFiY2oMRkfYb0Ko+Puzuj4u37mHg14eRyRJHREREpFZPLHAKhQIymey/FfT0IJfL1RqKiHTHsBfc8X5XX5xNu4v+qw/h1l2WOCIiIiJ1UekxAr1794ahoSEAID8/HwMGDICxsXG5Zfbs2VP96YhIJ7zdwQN6AvBJ1Fn0X30IP7zVCnbm/IceIiIiour2xAIXHh5ebnrQoEFqC0NEumvkix7QEwTM23kGb6w6hI1vtYa9BUscERERUXV6YoFbu3atJnIQUQ0won0DyPQEzPn1tLLEOViyxBERERFVF5Ue5E1EpKqh7dwxt2cALmfcwxurDiL1Tr7UkYiIiIhqDBY4Iqp2g9u44ePeDZGcmYd+Xx1EcsY9qSMRERER1QgscESkFm+2csXCVxvjRnY++q08iLNpOVJHIiIiItJ5LHBEpDavNXfBlwOaIjuvCK+vPIRjV7OkjkRERESk01jgiEitujZyxDfhLVBUosCbXx/G/gsZUkciIiIi0lkscESkdi9618WGES2hrydg6NojiE5MkzoSERERkU5igSMijWjmaoMfR7aBhbE+xnwfj81x16SORERERKRzWOCISGP861lg89tt4WAhx3s/n8AXe85DFEWpYxERERHpDBY4ItIod1tTbB3TFn6OFlj0xzlM334KJaUKqWMRERER6QRJClxUVBSaNGkCIyMjuLm5YdGiRU9cZ8iQIRAEocJXdWybiDTL3kKOn0a1RnsvW/xw+Cre3nAU+UWlUsciIiIi0noaL3BxcXHo2bMnQkJCkJCQgDlz5mDGjBn44osvnrhumzZtkJqaWu6rurZNRJplLjfAN+Et0KepE3afuYn+qw8hM7dQ6lhEREREWk1f0zuMjIxEUFAQFixYAADw8/PDqVOnsGDBAowdO7bSs2oPGBoawsHBQS3bJiLNM9TXw+f9AuFoKceXey+i74oDWDe0JdxsTaWORkRERKSVNH4Gbv/+/QgNDS03FhoaipSUFFy5cqXKdePj4+Hg4AB3d3f07dsXiYmJ1bZtIpKGIAh4L8QXH/VqiKu389Br+X4cupQpdSwiIiIiraTxM3CpqakVzqI9mE5NTYWbm1ul64WEhKBnz57w9PREeno6Fi5ciBYtWiA2NhYNGzZ8pm1HRkYiMjJSOZ2dnY3o6OjnObxqU1BQoDVZiDTBDsCYRnr4OrEYb64+hDd99NDOkfdZIiIiIvXStffdGi9wz6p///7Knxs1aoT27dvDz88PS5cuxapVq55pmxEREYiIiFBOOzs7IyQk5LmzVofo6GityUKkKSEAeqTdxbB1R7D+bD7kdm6YGuoLmR4vfyYiIiL10LX33Rr/521HR0ekpaWVG0tPT1fOU5WRkRGaNWuG5OTkat82EUnHx8Ecv4xrh2au1li17xJGfReH3MISqWMRERERaQWNF7h27dpVOEW5a9cuODs7w9XVVeXtlJSU4MSJE3Bxcan2bRORtGzNjPD9iFboHVR2h8pXVxzAtdt5UsciIiIikpzGC9zEiRMRHx+PadOm4ezZs1i/fj2WLVuGqVOnKu8SGRsbC19fX8TGxgIAcnNzERERgf379yM5ORmHDx/G66+/jitXrmDs2LFPtW0i0g1yAxkiXwvEeyE+OJt2F6988S/+PZ8hdSwiIiIiSWm8wLVo0QLbt29HVFQUAgMDMXPmTMydOxfjxo1TLpOXl4ekpCTk5ZX9i7tMJsPp06fRt29feHt7o0+fPiguLsaBAwfQtGnTp9o2EekOQRAw9iVPrB7cHCWlIgavOYxV+y5CFEWpoxERERFJQhD5TkjJ2dkZKSkpUscAoHsfpiRSt4u3cjHqu6O4cDMX3Rs7YuGrjWFiqDP3YSIiIiItpY3vu6vqJbxHNxHpBI+6Ztg+th1CAxzw24lU9Fl+AFcy70kdi4iIiEijWOCISGeYGeljxcCmeC/EB0npd9Fj2b/483S61LGIiIiINIYFjoh0yoPPxa0d0gJ6egLeWh+Hj3eeRnGpQupoRERERGrHAkdEOinYxw5R77RH0/pWWP3PZby28iBSsvioASIiIqrZWOCISGfVszLGplFtMOrFBjh2NRvdlv6L3bykkoiIiGowFjgi0mkGMj1MC/PDN+HNIQjAiPVx+CTqDC+pJCIiohqJBY6IaoSX/eyx8/4llav2XUK/rw4iOYN3qSQiIqKahQWOiGoMpweXVHZogOMp2Qhb+g9+OnKND/4mIiKiGoMFjohqFAOZHqZ19cP3w1vB0tgAU7acwOgN8ci6VyR1NCIiIqLnxgJHRDVSW09b7Hr3RXRr7IhdiWkIWbIP+87dkjoWERER0XNhgSOiGsvSxABf9A9C5GuByCsqxeA1sZjzayIKikuljkZERET0TFjgiKhGEwQBfZo64/d326OFmzXW7k9Gt6X/4OiVLKmjERERET01FjgiqhVcbEzw48g2mBrqi2tZ+Xj1qwP4eOdpno0jIiIincICR0S1hkxPwOhgD0S98wICna2w+p/LCPvfP4hLvi11NCIiIiKVsMARUa3jaWeOLaPb4oMwX1zPzke/lQcx99fTyC/i2TgiIiLSbixwRFQryfQEjHzRA1HvtkfT+tZYs/8yQv+3D/+c550qiYiISHuxwBFRreZR1ww/jWqDGd38cDOnEIO+icWEH48hI7dQ6mhEREREFbDAEVGtJ9MTMKJ9A/wZ8SI6+tphe8INdFwUg42xV6FQiFLHIyIiIlJigSMius/Z2gTfhDfHijebwthQhmlbT+K1lQdxLv2u1NGIiIiIALDAERGVIwgCujZyxO6IDhjS1g1Hr2Yh7H//4NPfzyC3sETqeERERFTLscAREVXCXG6A2a8EYPuYdvBxMMfKvy+h46IYbDuWAlHkZZVEREQkDRY4IqIqBLpYYce4F/Bx74YoLlVg4qbjePWrgzh1/Y7U0YiIiKgWYoEjInoCmZ6AN1u5Yu/kYIS3ccWxq1no8cW/mLb1JDJ5t0oiIiLSIBY4IiIVWZkYYk7Phtj5Tnu0crfBxtireGlRDFbtu4iCYj4EnIiIiNSPBY6I6Cn5OVpg41ut8eWApjCXG+CTqLN4+fO/8UvCdT52gIiIiNSKBY6I6BkIgoBujR3x16QO+CDMF3cLivHujwno+eV+HLiYIXU8IiIiqqFY4IiInoPcQIaRL3pg35SXMOIFdySl3cWA1YcxdG0snx9HRERE1Y4FjoioGliZGGJGd3/8NakDXgmsh71JtxC6ZB8mbz6Oa7fzpI5HRERENQQLHBFRNXKxMcHS/kHYMa4dWrnXwc9HU/DSohh8sO0kbmTnSx2PiIiIdBwLHBGRGjR2tsLGka3xw4hWCHSxwg+HryL4sxjM3pGIm3cLpI5HREREOkpf6gBERDVZW09btPGog7/P3ULkn+ew7kAyfjxyFYPbuGHUiw1Qx8xI6ohERESkQ1jgiIjUTBAEBPvYoYN3Xfx5Oh2Rf57Dqn2XsOHQFbzZqj5GtG8Aewu51DGJiIhIB7DAERFpiCAI6BLggE5+9og6lYov9lzA6n8u49sDV9CvuTPe7uABFxsTqWMSERGRFmOBIyLSMD09Ad0b10NYQ0fsOXsTX+y9gO8PX8WPR66hZ2A9jA72gJe9udQxiYiISAuxwBERSURPT0Anf3u87GeHAxcz8eXeC9h67Dq2JVxHiL8DRnZogKb1raWOSURERFqEBY6ISGKCIKCdpy3aedoi/moWlu+9gF2JadiVmIZmrtZ4q707Ovs7QKYnSB2ViIiIJMYCR0SkRZrWt8bX4S1wLv0uvv7nErYfu4G3N8TDtY4JhrVzx6vNnGFqxP91ExER1VZ8DhwRkRbytjfHwlcD8e/7L+Gdjp7IyS/GrB2JaDt/DxbsOovUO3woOBERUW0kSYGLiopCkyZNYGRkBDc3NyxatKjK5UtKSvDBBx8gKCgI5ubmsLW1RUhICA4fPlxuuXXr1kEQhApfMTExajwaIiL1sTOXI6KLDw68/zLm9WqIOqaGWBFzES8s2Iu3vzuKAxcyIIqi1DGJiIhIQzR+HU5cXBx69uyJiIgIbNy4EbGxsRg1ahTkcjnGjRtX6TqFhYU4ePAgJk2ahKCgIIiiiPnz56NTp05ISEiAh4dHueVTU1PLTdvY2KjteIiINMHYUIaBrV0xoGV97Dl7E+sPXVF+Ts7TzgyDWruiT1MnmMsNpI5KREREaqTxAhcZGYmgoCAsWLAAAODn54dTp05hwYIFGDt2LASh4of0TU1NsXfv3nJj69atg42NDaKiojB+/Phy8xwcHNR3AEREEnpw58pO/va4nHEPGw5dwea4a5i1IxELd51F76ZOGNzGDd58DAEREVGNpPFLKPfv34/Q0NByY6GhoUhJScGVK1dU3k5eXh6Ki4thampaYV6DBg3g6OiI4OBg/Pbbb8+dmYhIG7nbmmJmd38c/qAT5vdpBNc6pthw6Cq6LN6Hfl8dwM9HU5BXVCJ1TCIiIqpGGj8Dl5qaWuEM2YPp1NRUuLm5qbSdCRMmwN7eHq+99ppyzMfHB2vWrEFgYCAKCwuxadMm9OjRA19//TWGDx9eYRuRkZGIjIxUTmdnZyM6OvoZjqr6FRQUaE0WItJ+1gDe8RFxyVGGmOsKxF/NwpHkLMzYehwt7AW84KgHV3NUepUDERFRbaZr77sFUcOffjc0NMSSJUswZswY5VhiYiIaNmyIAwcOoE2bNk/cxvvvv4+vv/4ae/bsQePGjatc9s0338SRI0dw7ty5J27X2dkZKSkpTz4IDYiOjkZISIjUMYhIR93JK8Yvx6/jx9hrOJ2aAwDwdTDHa81d0DvICdamhhInJCIi0g7a+L67ql6i8UsoHR0dkZaWVm4sPT1dOa8qoijinXfewdq1a7F3794nljcAaNu2LZKTk585LxGRLrI0McDgNm6Ierc9fhv/Aga1dsX17HzM/e00Wn3yF8Z+H48/T6ejqEQhdVQiIiJ6Chq/hLJdu3aIjo7G3LlzlWO7du2Cs7MzXF1dH7teaWkpRowYgejoaMTExMDPz0+l/cXHx8PFxeW5cxMR6aqGTpZo6GSJ6d388PupVGw6cg07T6Zi58lUWJsYoHvjeugV5ISm9a14iSUREZGW03iBmzhxItq2bYtp06YhPDwcsbGxWLZsGT777DPlG4fY2FgMHjwY69evR8uWLVFSUoL+/ftjz5492L59O6ytrZVn8YyNjWFpaQkAmD17Nlq2bAlvb2/lZ+DWrl2LZcuWafowiYi0jtxAht5Bzugd5Izr2fn4JeE6tsVfx3eHruC7Q1dQ38YEvYKc0KtJPTSoayZ1XCIiIqqExgtcixYtsH37dnzwwQeIjIyEg4MD5s6dW+4ZcHl5eUhKSkJeXh4AICUlBT///DMA4MUXXyy3vfDwcKxbtw4AkJOTg7FjxyItLQ3Gxsbw9fXF5s2b0bdvX80cHBGRjnCyMsaYYE+M7uCB06k52H7sOn5JuIGlf53H0r/OI9DFCj0aOyKskSPqWRlLHZeIiIju0/hNTLQZb2JCRLVZqULEwYuZ2HbsOnadSsW9olIAQFB9K3Rr5IiujRzhxDJHREQ1jDa+766ql2j8DBwREWknmZ6AF7xs8YKXLT7u3RAxSbcQdTIVf51Jx7Gr2Zi38wyauDwocw5wtjaROjIREVGtwwJHREQVyA1kCG3ogNCGDigoLsXf525h54myMvfxtWx8HHUGgS5W6OJvjy7+9vC0M+MNUIiIiDSABY6IiKokN5AhJMABIQH/lbmyM3M38dm1bHwWnQTXOibo7GePTv72aO5qDX2Zxp9SQ0REVCuwwBERkcoeLnOFJaU4dOk2dp9Ox+4z6fj638v4+t/LsDIxQEcfO3Tyt8eL3nVhZsS/aoiIiKoL/1YlIqJnYqQvQwfvuujgXRdzewYg8UYO/rxf5rYeu46tx67DUKaH1h51lMt51DXlpZZERETPgQWOiIiemyAIygeGT+zsjevZ+fjrTDr+PJ2OQxczse/cLXyEsscXdPApK3NtPerAXG4gdXQiIiKdwgJHRETVzsnKGIPbuGFwGzfkFZXg4MVM/H3uFmKSbuGHw1fxw+Gr0NcT0MzVWlno/BwsoKfHs3NERERVYYEjIiK1MjHUx8t+9njZzx4AkJxxD3+fu4W/z93CwYuZOHz5NhbuSkIdU0O09qiDth510NbDFm51THi5JRER0SNY4IiISKPcbE3hZmuK8LZuKCguRVxyFv4+dxMHLmYi6mQqdp5IBQDUs5SjjYdtWaHzrANHSz5EnIiIiAWOiIgkIzeQKR8eDgBZ94pw+HImDlws+9oSn4It8SkAAHdbU7TxqIPWDeqgpZsNHCzlUkYnIiKSBAscERFpDWtTQ4Q2dERoQ0cAQHpOAQ5ezMSBixnYfyFT+fk5AHCxMUYLVxu0cLdBCzdreNTlw8SJiKjmY4EjIiKtZW8hR68gJ/QKcgIAXM3MQ2zybRy5fBtHrtxWPq4AAKxNDNDczQYt3WzQ3M0aDZ0sYcAHihMRUQ3DAkdERDqjfh0T1K9jglebOQMAMnILEZechSPJtxGXfBt7zt7En6fTAQBG+npo5GSJoPpWaOJijSb1rVDPUs6zdEREpNNY4IiISGfZmhkhtKEDQhs6AADuFZYg4Vo2Yi/fRvzVLCRcy0bclSwAlwEAduZGaOJihSb1rdDExQqNna1gZsS/ComISHfwby0iIqoxTI300c7TFu08y26KolCIuJSRi2NXs5FwLRvHrmbjr7M38cf9s3R6AuBtb45AZys0dLZEw3oW8HO0gNxAJuVhEBERPRYLHBER1Vh6egI87czhaWeOfs1dAAB5RSU4dT0Hx+6foUu4lo1NcdewKe4aAECmJ8DLzgwB9SzR0MkCjZws4edoAVOeqSMiIi3Av42IiKhWMTHUR0t3G7R0t1GO3cwpQOKNHJy8fgenrt9B4o2c+48wKJsvCEADW1M0dLJEw3qWCKhnAR8Hc9QxM5LoKIiIqLZigSMiolrPzkIOOws5XvK1U47dvleEU9fv4NSNO0i8noNTN+7gl4Qb+CXhhnKZuuZG8HUwh6+DOXwcLODrYA5POzNegklERGrDAkdERFQJG1NDvOhdFy9611WO3ckvRuL1OziTdhdJaTk4m3YXR5Jv45/zGcplZHoC3OqYwNfRAr725mXfHczhZGUMPT3eAZOIiJ4PCxwREZGKLI0N0NbTFm3v3yQFAEoVIq5k3kNS2t1yxS7qZCp2nkhVLic30EMDWzN42pX/cqtjCkN9Pq+OiIhUwwJHRET0HGR6AhrUNUODumbo2shROX6vsATn0u8iKe0uzqbdxcVbubhwMxc7jt+osL6rjQk8HpS6umbKn/mIAyIiehT/ZiAiIlIDUyN9BNW3RlB963LjuYUluHS/zCm/buWWewj5A3XNjeBexxRutiZwrWMKd1tTuNUxhWsdE94Vk4ioluL//YmIiDTIzEgfjZ3LHiL+sKISBa5k3itX6pIz85CUfhexybcrbMfO3AhutqZwq2MCN1tTuNcxhev9smdiyL/eiYhqKv4fnoiISAsY6uvBy94cXvbmFeZl3StCcuY9JGfew+WMPFzJvIfkjHs4m5qD2MsVy52tmRFcbIzhbG0CF2tjuNiYwNnaGC7WJqhnZczP3BER6TAWOCIiIi1nbWoIa1PDCpdjiqKI7LxiXL5f6JIz85CccQ/XsvJw7XY+jl3NrrAtPQFwsJDD2doEzjZlpc75oZJnbyGHgYwFj4hIW7HAERER6ShBEJTlrukj5Q4A8otKcT27rMxdy8pDSlY+rt3Ow7WsPJy7WfmlmXoCYGcuh6OVHPUsjeFoKYejlTHqPfTd1syIj0QgIpIICxwREVENZWwog6edOTztKl6WCQA5BcVIeajcpWTlITW7AKl38pGSVfkZPAAwkAmwt7hf8KzkcLQ0Rj0rORzuPxDd3sIItmZGPJNHRKQGLHBERES1lIXcAP71DOBfz6LS+YUlpUi/U4gbd/KReicfN+6Xu9TsAty4U/DYs3gAIAhAHVMj2Jkbwd7CCPYWctiZG90veGUlz85cDlszQ+iz6BERqYwFjoiIiCplpC9D/TomqF/H5LHL5BWVKItdek4hbt4twM2cQqTnFODm3bLvF27moqhUUen6glB205WyoldW6GzNjFDHzOihn8u+W5sYQsZLN4molmOBIyIiomdmYqhf9gByO7PHLiOKIu7kFyP9kWJ386Gf03MKcT798UUPKPt8no2pIeqYGsHW/P73+wWv7kNFr45Z2TxjQ5k6DpmISFIscERERKRWgiDAysQQViaG8HGo/PN4QFnRyykoQUZuITJzi5CZW4iM3EJk5BYpxzJyC5F5rwgnUu7gbkFJlfuVG+jB2sSw7MvU4KGfDWFtYgAb07JMNg/NNzGUQRB4lo+ItBcLHBEREWkFQRBgaWwAS2MDeNR98vIFxaW4fe+/cnfroZKXda8It/OKkJVXjKx7RbiWlffEwgeUPY/P2uS/sldW8gxgZVKWy0JuoMxo8dB3cyN93pmTiDSCBY6IiIh0ktxAhnpWxqhnZazS8sWlCmTnFSMrrwhZ94rKvucV4/a9ImTnFeH2vfvz7s8/nZqDO/nFKm1bEABzI31YmjxU8B4pew8KX9k8/bLiJ9eHuZEB5AZ6PPNHRCphgSMiIqJawUCmh7rmRqhrbqTyOiWlCtzJL0Z2fjFy8otx5/5XTn4xcgpKyqbz7o8VlH3PzivGlUzVzvg9oK8nwEyuDzOjsi9zuT7M5QZl03J9mN8fK5suG7eQ6/+3jlwfFnIDGOmzCBLVdCxwRERERI+hL9NDnft3xXxapQoRuQ9KXn75kvegBN4rLMHdghLcLSxBbkEJ7hYWI/f+5wBzCkpQVPL4m7pUmveRImhiKIPpg++G+jAxuv/dUB+mRrLy3w1lMDF65LuhPgz1+ZgHIm3CAkdERESkBjI9oeySShODZ95GYUkp7hWWIregBDkFxch9pOjdvV8AcwtKkPugDN5fLq+o7DOCeUWluFdUAlF8tgwGMqFiwbtf/IwN9WFsoAdjAxnkhjIYG9z/MpRBbvDftNxABmNDvf/GDP8b51lDoqfDAkdERESkpYz0ZTDSl8HG1PC5tiOKIgqKFbhXVIK8wrJCl1dUgnuFpeW/F5Uir/D+98fMv3W3EPeK8nCvsAQlimdshQ8RBDxS9GSQPyiFlRS+B6XPyEDv/uujd3+67GflfP378w0q/mwoY2kk3cUCR0RERFTDCYJQVoIMZcDjH9n31IpKFCgoKUVBUSnyi+9/3f+5sFhRbrrgoZ8rTitQ8NBYdl4x0ooLlPOroSdW8HDxkz9aBh8tfg8VRkN9PRjI9GAoE/77+f53o/vf/xsTKowZPrS8wf1tsFDS02CBIyIiIqJnYqhfVkYs5M9+meiTiKKIolIFCorKCmFhSSkKS8oKX2GJAoXFCuVYYUnp/elKfq6wbMVlcgtLkJlbVkofLKuO8lgZA5lQrgwaPlQCDR8qgUYPzde/v46+ngD9+4VQX+/+93I/ly1j8GAdvbLv+jI9GNxf9+HxB9t5ePsP1q1smzI+QkOjNF7goqKi8MEHH+DMmTNwdHTEuHHjMHny5Ceut27dOnz66adITk6Gm5sbpk+fjsGDB5db5vDhw5g4cSLi4+NhbW2NwYMH4+OPP4a+PnsqERERkS4SBEF5Kakl1FcUKyOKIkoU4v3yV1b8iksVKCpRoOj+9+JS8f73h8f++174yDL/jSkeWa+sqBY/sq2iUgXy84uV+youUaDw/jxtIQj4rxQ+Uvb0ZQJkggCZXtmXvkyATK+s/D0YLxsrW1dPeGSZB+P3v8uU3/UeM15xmQf70BOEctMyPT3IBAHJORpq6dVEo80mLi4OPXv2REREBDZu3IjY2FiMGjUKcrkc48aNe+x627dvx/Dhw7Fw4UJ069YNO3fuxNChQ2FtbY0ePXoAAK5du4bOnTujd+/eWLVqFS5evIihQ4eitLQUixYt0tQhEhEREVENIQiC8syYmZF2nRAQRRGlirKCWVyqQEmpiGJF2feHfy4uVaBEIaKktKwAljwy/mDdEsX9+crx++soHh6ruKxyfqn4yM9l30sVD3IqUFIi4l6RAqWlZbkV9wvyg+lShYjS+8elSa7mwCiN7vH5CKL4rPckenoDBgzAhQsXEBsbqxx777338OOPP+Lq1auPvfa3bdu2cHZ2xk8//aQc69evH1JTU/Hvv/8CAD744AOsXbsWKSkpkMlkAIAvv/wSkydPxs2bN2Fubv7EfM7OzkhJSXmeQ6w20dHRCAkJkToGEREREZFGPVxOlaXuoZJXolBAoQBKFIryyynKL1Na6bgIhXK6rJheOXcaHwzqKvVhl1NVL9HoPyXs378f4eHh5cZCQ0OxaNEiXLlyBW5ubhXWKSoqwpEjRzBixIgK640ePRrFxcUwMDDA/v370blzZ2V5e7DMuHHjcPToUQQHB6vjkIiIiIiIqBoJ9y+j1Jc9ednqEJ19VjM7qiYaLXCpqalwcHAoN/ZgOjU1tdICl5GRgZKSkkrXKy4uRkZGBhwdHZGamopWrVo9dtuViYyMRGRkpHI6Ozsb0dHRT31c6lBQUKA1WYiIiIiIaipde9+tXRfzalhERAQiIiKU087Ozlpz2SIvoSQiIiIiUj9de9+tp8mdOTo6Ii0trdxYenq6cl5lbG1toa+vX+l6BgYGsLW1feZtExERERER6RKNFrh27dpVOD25a9cuODs7w9XVtdJ1DA0N0aJFi0rXa9myJQwMDJTb3r17NxQKRbll5HI5mjVrVs1HQkREREREpHkaLXAPntE2bdo0nD17FuvXr8eyZcswdepU5R0oY2Nj4evrW+5OlVOmTMHPP/+MxYsXIykpCYsXL8aWLVswdepU5TKjR49Gbm4uhg8fjsTEROzYsQMzZ87E2LFjVboDJRERERERkbbTaIFr0aIFtm/fjqioKAQGBmLmzJmYO3duuWfA5eXlISkpCXl5ecqxXr164ZtvvsGKFSvQqFEjrFixAmvXrlU+Aw4AXFxc8McffyApKQnNmjXDyJEjMWLECMyfP1+Th0hERERERKQ2Gn0OnLbjc+CIiIiIiGoXbXzfXVUv0egZOCIiIiIiInp2LHBEREREREQ6ggWOiIiIiIhIR7DAERERERER6QgWOCIiIiIiIh3BAkdERERERKQjWOCIiIiIiIh0BAscERERERGRjmCBIyIiIiIi0hEscERERERERDpCEEVRlDqEtjAyMkLdunWRn58PY2NjSbPk5ubCzMxM0gxEtYk2/HdP0uLvgGbx9X682vLa1ITj1KVj0Mas2pJJG99337p1C4WFhZXOY4GrxGuvvYaffvpJ0gzOzs5ISUmRNANRbaIN/92TtPg7oFl8vR+vtrw2NeE4dekYtDGrtmTStffdvISyEv369ZM6AhFpGP+7J/4OaBZf78erLa9NTThOXToGbcyqjZl0Ac/AaSld+5cAIiIiIiJdpGvvu3kGTktFRERIHYGIiIiIqMbTtffdPANHRERERESkI3gGjoiIiIiISEewwBEREREREekIFjgiIiIiIiIdwQJHRERERESkI1jgdNDu3bvh5+cHT09PTJ8+Xeo4REREREQ1Unh4OOzs7NCwYUOpoyixwOmY0tJSjBkzBr/99huSkpIQExODAwcOSB2LiIiIiKjGGTZsGHbt2iV1jHJY4HTMkSNH4O7uDg8PD8hkMgwePBhbt26VOhYRERERUY3ToUMH2NjYSB2jHBY4Ddq3bx969uwJV1dXCIKA2bNnV7pcVFQUmjRpAiMjI7i5uWHRokXKeSkpKXBxcVFO169fH9evX1d3dCIiIiIinVEd77u1FQucBuXm5sLf3x8LFy6Eg4NDpcvExcWhZ8+eCAkJQUJCAubMmYMZM2bgiy++0HBaIiIiIiLdVJPfd+tLHaA2CQsLQ1hYGABg6tSplS4TGRmJoKAgLFiwAADg5+eHU6dOYcGCBRg7diycnZ1x7do15fJXr16Fk5OT+sMTEREREemI6njfLQiCxvI+DZ6B0zL79+9HaGhoubHQ0FCkpKTgypUraNGiBS5duoSLFy+itLQU69evR69evaQJS0RERESko570vltbscBpmdTU1AqneR9Mp6amQiaT4csvv0S3bt3g7e2NF198ES+88IIUUYmIiIiIdNaT3ncDQL9+/dCmTRskJSXB2dkZy5cv13jOR/ESSh3UpUsXnD17VuoYREREREQ12ubNm6WOUAHPwGkZR0dHpKWllRtLT09XziMiIiIiouenq++7WeC0TLt27RAdHV1ubNeuXXB2doarq6tEqYiIiIiIahZdfd/NSyg1KDc3FxcuXAAAFBUVIS0tDQkJCTA0NIS/vz8AYOLEiWjbti2mTZuG8PBwxMbGYtmyZfjss8+09k44RERERETapCa/7xZEURSlDlFbxMTE4KWXXqow7urqiuTkZOX0zp078cEHH+Ds2bNwcHDAuHHj8N5772kwKRERERGR7qrJ77tZ4IiIiIiIiHQEPwNHRERERESkI1jgiIiIiIiIdAQLHBERERERkY5ggSMiIiIiItIRLHBEREREREQ6ggWOiIiIiIhIR7DAERERERER6QgWOCIiIiIiIh3BAkdERDpnyJAhCA4OljpGtUtOToYgCIiJiVHL9tetWwdBECAIArp3766WfQBATEwMBEFAcnKy2vahqiVLliiPeciQIVLHISJ6bixwREQ6ZsiQIco3pA9/ff3111JH05j//e9/2Lp1q9QxdFZqaio2bNig8f0WFhbCwsICBw4c0Ng+R44cidTUVLRp00Zj+yQiUid9qQMQEdHTa9OmTYUCY2lpWemyxcXFMDAw0EQsjXncsVKZoqIiGBoaPna+g4NDlesrFAooFAro61fv24Q///wTZmZmGi1TJiYmMDExqfL1ICLSJTwDR0SkgwwNDeHg4FDuy9jYWHmJ3N9//41mzZrB0NAQv/zyCwBg2bJl8PX1hVwuh5eXFz766CMUFxcrt1lSUoI5c+bAw8MDRkZGcHJywvjx45XzBUHAunXryuUIDg6ucFnak/bzYJ158+bBwcEBNjY2GDx4MHJzc8ttZ9OmTWjWrBnkcjnq1KmDrl27IisrC0DFSyjj4+MRFhYGe3t7mJqaIjAwEBs3bnzi67h06VIEBQXB3NwcdnZ2eOWVV3DhwoVyy7i5uWH69OmYMGECbGxsYG9vj4kTJ6KkpES5TH5+PkaOHAlLS0tYW1tjzJgxmDZtGtzc3JTLzJ49u9w0oNqlhjNmzEBAQABMTU3h5OSEgQMHIj09vdwygiBg8eLFGDhwIKysrNC3b98nHvvDHmT7+eef4e/vD0NDQyQkJODy5ct49dVX4eTkBGNjY/j5+WHp0qUQRbHc+suWLYOzszNMTEwQEhKCq1evVrqfrVu3olevXhAEATk5ORg6dCgcHBxgZGQEFxcXREREVNhuVb9LmZmZ6NevH0xNTWFvb4+ZM2ciPDy8Rl5eS0T0AAscEVENFBERgQULFuDs2bNo3749Zs+ejUWLFuHTTz/FmTNnsHTpUqxevRoffvihcp3hw4fjyy+/xOzZs3H69Gls2bIFDRo0eKr9qrIfANi2bRsyMzMRExODH374ATt27MCCBQuU89euXYuBAweiV69eiI+Px969exEaGorS0tJK95uTk4N+/frhr7/+wvHjxzF48GAMHDgQf//9d5V5FQoFFi5ciOPHjyMqKgrFxcXo3r17uZIAAF9++SUcHBxw+PBhLF26FMuWLcO3336rnD916lRs374d69evx6FDh2BpaYnly5c/1Wv3OEZGRlixYgUSExPx448/4ty5c+jfv3+F5ebOnYtmzZohLi4OixYteur9pKenY/Hixfjmm29w5swZeHl5ITc3F8HBwdi5cycSExMxZcoUvP/++1i/fr1yvV9++QUTJkzAhAkTkJCQgNdffx3vvfdehe2XlpZix44d6NOnD4CyYhofH49ffvkF58+fx6ZNm+Dn56dcXpXfpaFDh+LYsWP49ddfsXfvXqSkpGD79u1PfexERDpFJCIinRIeHi7q6emJpqamyi8nJydRFEVx7dq1IgDxr7/+Ui5/79490djYWNy5c2e57Xz77beimZmZqFAoxPPnz4sAxE2bNj12vwDEtWvXlhvr0KGDGB4ervJ+HqwTEBBQbpkRI0aIrVu3Vk67uLiIo0ePrvI16NChw2Pni6Iodu3aVXzrrbeqXOZR6enpIgBx//79yjFXV1cxLCys3HKdOnUS33jjDVEURTE3N1c0NDQUv/rqq3LLtGrVSnR1dVVOz5o1q9y0KIri3r17RQDi5cuXRVEUxcuXL4sAxL179z424+HDh0UA4vXr15VjAMRBgwY98fge/H48atasWSIA8cKFC0/cxujRo8XOnTsrp9u1aye+9tpr5ZaZNGlSueMSRVH866+/RBsbG7G4uFgURVF85ZVXlL87j1Lld+ncuXMiAHHXrl3K+UVFRaKzs3OlvxsP/64SEekyfgaOiEgHNW/eHN9//71yWiaTlZvfqlUr5c+JiYnIz89Hv379IAiCcry0tBQFBQVIS0tDfHw8AKBz587PnEmV/Tg6OgIAAgMDy61br149/PXXXwCAmzdv4tq1a0+VJTMzE7Nnz8bu3buRlpaG4uJiFBYW4qWXXqpyvX3/b+9eQ5ps/ziAfzcpzBMqOjKDAqfOeUxFWphlnpURq6w0wQaFVIJBGGQeXiTD0nmgg2CIikVFZQdfiBSYD5qJGnRQyxSlwCjBUClxqT0vxJvuR+3Z7C898//9vNqu/a7D7t0v9uM63H/9hYKCAnR3d2N0dFRYGjg0NIRt27YJcQEBAQvG++HDBwBAf38/DAYDtm7dKopRqVS4d++e0d9hKQ8ePEBJSQnevXuH8fFxzM7OCmPcsGGDEPfzb74cTk5OcHNzE5VNTk4iPz8fDx8+xPDwMKampmAwGERLQXt6epCYmCiqFxoaCr1eLyqrq6uDWq0W9tUdP34ce/fuRWdnJyIiIhAbG4uYmBhIpVKj7qWenh4AEF33NWvWIDg4WFhqS0S0GjGBIyIyQ+vWrYNcLl/yc2tra+H1/B/+mzdvipaozXN2djaqT4lEsmDv089LDU3p55+HqkgkEqH+cqSmpmJgYAA6nQ5ubm6wsrJCRkYGvn79umSd9+/fIy4uDgcOHMCZM2fg7OyMmZkZ+Pj4wGAwiGKNGe/PicZipFLpL6/fYtrb27Fnzx5kZmaioKAADg4OGBoaQmxs7IIx/vybL8di9TMzM3H37l3o9XoolUrY2NigsLAQjY2NJrX948cP3L9/X7SsdH6vXGNjI548eYKUlBT4+vri8ePHJt1L/3bdiYhWGyZwRESrnLe3NywtLTEwMAC1Wr1oTGBgIIC5UwL379+/aIxMJsPw8LDwfnJyEm/evIG7u7vR/RhDJpNh48aNePToETQajVF1mpubodPphPiZmRn09fXB1dV1yTodHR349u0bysrKYGtrK7RjKrlcjrVr16KtrQ1+fn5C+bNnz0RxMpkMIyMjmJ6eFmah5mc+l9LS0gJ7e3sUFBQs2e5Kam5uRnJyMpKTk4Wyvr4+UYxSqcTTp0+RkZEhlLW2topi2tvbMTY2hujoaFG5o6MjkpKSkJSUBK1WC5VKhVevXhl1LymVSgBAW1sbYmJiAMwdxNPV1WXy3k0iInPCBI6IaJWzsbFBVlYWcnJyYGFhgejoaExPT+P169fo7OxEYWEh5HI5Dh06hPT0dBgMBqhUKoyOjor+mEdGRqKiogLh4eGws7PDuXPnRCcxGtOPsfLy8nDs2DG4uLhg3759mJ2dRVNTEw4ePAgnJ6cF8QqFAjdu3EBYWBikUikuXLiAz58//zKB8/DwgEQigV6vR2pqKt6+fYusrCwTruwca2trpKWlITc3Fy4uLlAoFKipqUFvby8cHByEuPDwcExNTSE7OxtHjx5FV1cXysvLf9m2QqHA6OgoKioqEBUVhc7OTuTn55s8xuVSKBSor69HYmIi7O3tUVlZiefPn4u+16lTp5CYmIji4mKo1Wq0traitrZW1E5dXR3i4uJgaWkplJ09exZBQUHw9vaGVCrF9evXYWVlhU2bNhl1L7m7u0OtViM9PR0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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "Q = 1\n", "w0 = 1\n", "num = np.array([ w0 / Q, 0 ])\n", "den = np.array([ 1., w0 / Q, w0**2 ])\n", "\n", "H1 = sig.TransferFunction( num, den )\n", "\n", "_ = analyze_sys([H1], sys_name='pasabanda Q={:3.1f}'.format(Q))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "ciertamente *analyze_sys* extiende el análisis de la respuesta en frecuencia al calcular el *retardo de grupo*; como también incorpora información al *diagrama de polos y ceros*, acerca del $\\omega_0$ y $Q$ asociado a cada par de singularidades complejas conjugadas. Esto se puede justificar matemáticamente de manera muy sencilla mediante la factorización del polinomio:\n", "\n", "$$ P(s) = s^2 + s \\cdot \\omega_0 / Q + \\omega_0^2 = (s - \\alpha + j \\beta) \\cdot (s - \\alpha - j \\beta)$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\"Circuito\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "siendo $\\alpha$ y $\\beta$ las coordenadas real e imaginarias en el plano complejo de sendas singularidades.\n", "\n", "$$ = s^2 + s (2\\alpha) + ( \\alpha^2 + \\beta^2) $$\n", "\n", "Igualando los coeficientes se obtiene\n", "\n", "$$ \\omega_0^2 = \\alpha^2 + \\beta^2 $$\n", "\n", "$$ 2\\alpha = \\frac{\\omega_0}{Q} $$\n", "\n", "por lo que se desprende que el radio de las singularidades será $\\omega_0$, y el ángulo $\\psi$ que subtiende será\n", "\n", "$$ \\cos(\\psi) = \\frac{\\omega_0}{\\alpha} $$\n", "\n", "por lo tanto\n", "\n", "$$ Q = \\frac{1}{2\\cos(\\psi)} $$\n", "\n", "De esto se desprende la utilidad de la parametrización propuesta, ya que el $\\omega_0$ se relaciona con el radio de las singularidades y el $Q$ con la cercanía al $j\\omega$. \n", "\n", "Por todo lo antedicho, se sugiere el uso de *analyze_sys* y será la **función de referencia de ahora en adelante**." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Resumen y conclusiones\n", "\n", "Habiendo realizado un análisis introductorio de la transferencia pasabanda de segundo orden, y la red pasiva que la implementa, dejamos algunas conclusiones:\n", "\n", "- La parametrización de los polinomios de segundo orden en término de $\\omega_0$ y $Q$ resultan útiles. En el diagrama de polos y ceros, se puede decir que el radio de las raíces será $\\omega_0$, y la cercanía al eje $j\\omega$ es inversamente proporcional al $Q$.\n", "- En lo que respecta a la respuesta de módulo, $\\omega_0$ será el centro de la banda de paso, mientras que el ancho de banda es inversamente proporcional al $Q$.\n", "- Respecto a la respuesta de fase, $\\omega_0$ es el punto medio en lo que respecta a la variación total de fase del sistema.\n", "\n", "Por estas razones resulta indispensable comenzar a pensar cualquier transferencia de segundo orden en función de $\\omega_0$ y $Q$." ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "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": "3.10.16" } }, "nbformat": 4, "nbformat_minor": 4 }