From 5aa90ecac5e16f38a0176cfd980d35b529efabb2 Mon Sep 17 00:00:00 2001
From: Christan Solis Calero <solisc@jupyterMiLAB>
Date: Thu, 18 Feb 2021 22:59:10 -0500
Subject: [PATCH] Actualizando tarea desde jupyterhub

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 Ejercicios-clase-05-datosF.ipynb | 1022 ++++++++++++++++++++++++++++++
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+{
+ "cells": [
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## Alumno: Christian Solis Calero.\n",
+    "### Universidad Nacional Mayor de San Marcos, Lima. Perú"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "### Ejercicio 05-01: Resolución espacial\n",
+    "En observaciones astronómicas e imágenes en general, llamamos resolución espacial a la distancia angular minima a la que pueden estar dos fuentes puntuales de luz y aun poder ser reconocidas como objetos individuales.\n",
+    "En el caso de la astronomía, este efecto tiene que ver con la dispersión de la luz al atravezar la atmósfera, la cual hace que una estrella, que debería en principio aparecer como una fuente puntual (pues las estrellas están muy lejos), aparezca en cambio como una mancha. Así, si dos estrellas están demasiado cerca sus manchas se superpondrán hasta el punto en que sea imposible distinguirlas como fuentes individuales (Ver imágenes en este link) Para modelar este efecto, típicamente consideramos la acción de la atmósfera como la convolución de la imagen \"perfecta\" (como se vería desde el espacio)\n",
+    "con un kernel gaussiano. El ancho de esa función gaussiana 2D caracteriza las condiciones de observación, varía con las condiciones climáticas y para cada sitio de la Tierra.\n",
+    "La resolución espacial normalmente se toma como el FWHM de la gaussiana caracteristica registrada durante una observación. Es decir, si dos estrellas están a una distancia aparente en el cielo menor que el FWHM del efecto atmosférico, la luz de ambas fuentes se mezclará después de la convolución hasta el punto de impedir reconocerlas de modo individual.\n",
+    "Además, la atmósfera puede interactuar de maneras distintas con la luz de distintas longitudes de onda, de manera que el ancho de la gaussiana puede ser distinto para observaciones con diferentes filtros.\n",
+    "El objetivo de esta tarea es medir de forma aproximada la resolución espacial en una noche de observación en Zapatoca, Santander (Colombia), a partir de una foto del cielo estrellado.\n",
+    "\n",
+    "### Ejercicio Pasos\n",
+    "1. Leer la imagen almacenada en la carpeta data como un array de numpy. Ese array estará compuesto de 3 matrices, una tras otra, correspondiente a los canales R,G,B\n",
+    "\n",
+    "2. Combinar los 3 array para generar una versión blanco y negro de la imagen, en la cual ella consiste de una sola matriz 2D. Puede usar su intuición y prueba y error para combinar las 3 imágenes, explicando el procedimiento elegido. Esto será más interesante que usar un comando desconocido de una biblioteca sofisticada que haga las cosas como una caja negra (queremos practicar numpy)\n",
+    "\n",
+    "3. Recorte un sector de la imagen conteniendo una estrella individual y ajuste una gaussiana 2D simétrica a la imagen de la estrella por mínimos cuadrados, incluyendo una constante aditiva (el cielo \"vacio\" brilla)\n",
+    "\n",
+    "4. Repita este procedimiento para varias estrellas y presente alguna estadística sobre las medidas de la FWHM de las distintas gaussianas: histograma, media, mediana, desviación estándar\n",
+    "\n",
+    "5. Repita el mismo ejercicio sobre cada una de las bandas R,G,B separadamente y comente si observa diferencias en los resultados"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "### 1. Manipulando la imagen"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 347,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "image/png": 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\n",
+      "text/plain": [
+       "<Figure size 432x288 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "import numpy as np\n",
+    "import matplotlib.pyplot as plt\n",
+    "from matplotlib import image as img\n",
+    "%matplotlib inline\n",
+    "\n",
+    "# load the image\n",
+    "imagen = img.imread('data/zapatocaImage.jpeg')\n",
+    "# convert image to numpy array\n",
+    "imagen_array = np.asarray(imagen)\n",
+    "plt.imshow(imagen_array)\n",
+    "plt.grid(None) \n",
+    "plt.show()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 348,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "image/png": 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\n",
+      "text/plain": [
+       "<Figure size 432x288 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "#In RGB (Red-Green-Blue) channels, the intensity of the color is presented on a 0–255 scale, at first we rescaled to the [0,1] range.\n",
+    "imagen_array = imagen_array/255\n",
+    "\n",
+    "#Creating a function for generate gray image, combinig channels, multiplying the red matrix by 0.2989,\n",
+    "#the green matrix by 0.587 and the blue matrix by 0.114\n",
+    "#and summing: 0.299 R + 0.587 G + 0.114 B to get each pixel of the grayscale image\n",
+    "\n",
+    "def gray_generator(rgb):\n",
+    "    '''\n",
+    "        Define function for generating gray image fromo RGB data.\n",
+    "    '''\n",
+    "    r, g, b = rgb[:,:,0], rgb[:,:,1], rgb[:,:,2]\n",
+    "    gray = 0.2989 * r + 0.5870 * g + 0.1140 * b\n",
+    "    return gray\n",
+    "\n",
+    "imagen_gris=gray_generator(imagen_array)\n",
+    "\n",
+    "plt.imshow(imagen_gris, cmap = 'gray')\n",
+    "plt.grid(None) \n",
+    "plt.show()"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "### 2. Procesando la información de la primera estrella seleccionada \n",
+    "Generación de arrays conteniendo las variables de posisción (x e y) y de la intensidad de pixeles (z)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 331,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 432x288 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "#Working with a FIRST STAR\n",
+    "#based in coordinates of gray image crop the stars\n",
+    "star01 = imagen_gris[540:565,650:675] \n",
+    "plt.imshow(star01, cmap ='gray')\n",
+    "plt.grid(None) \n",
+    "plt.show()\n"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 332,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 432x288 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "#convert its negative image:\n",
+    "y=np.shape(star01)\n",
+    "negative_star01=np.zeros(y)\n",
+    "#convert the image into its negative value.\n",
+    "negative_star01=1-star01\n",
+    "plt.xlabel(\"Value\")\n",
+    "plt.ylabel(\"pixels Frequency\")\n",
+    "plt.title(\"Negative image \")\n",
+    "plt.imshow(negative_star01,cmap=\"gray\")\n",
+    "plt.grid(None) \n",
+    "plt.show()"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "Usando la información de los arrays x, y, z visualizamos la data a través de plots en 3D"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 350,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "# Generate a 3D Plot\n",
+    "# get coordinates (y,x) --- alternately see below for (x,y)\n",
+    "yx_coords = np.column_stack(np.where(star01 >= 0))\n",
+    "\n",
+    "#Generating vectors of x and y coordinates from x,y array\n",
+    "y=[item[0] for item in yx_coords]\n",
+    "x=[item[1] for item in yx_coords]\n",
+    "\n",
+    "#Generating a vector from matrix of pixeles\n",
+    "zcoords = star01.flatten()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 334,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "image/png": 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CICBJEvv376e6uprS0tK8rWeiIZur6qhiYyqZmNHR0XEyMTPVITPGJRvMNYZBeQszU/mU4eFhkskkixcvHifLns91acx003urkW+ZmHx4ccY0S4NcMQzKWxTNK5mpQrDFYimIMZlYTWaQmXzIxOT7/GY7zTK9D8b4jN9eGAblLcZMQlwAoVCIvr4+amtr8Xg87N27t6BrnM/nH4rkKhMzF+doMqn+TOOSDSXltweGQXkLMZPRvNkqBOeL+RSHfCsxnUwMpLycWCw2rzIxmYaNpedgjM/zrYVhUN4CZNNbkglNIdjlck2pEJxv3o4eRqGZKBMzOjpKOBw+SCbG6XRitVrn1cDs27dPFx41PJi3FoZBOcTJtrdkIoFAgIGBAerr6/U4/VyQjyovwyBNj9lsxm63U1lZOU6OZWRkhHg8Pm8yMemJfmPY2FsPw6AcwsxkNO9MFILzidbjoigKfX19BIPBcXfP04VnjA0mOyZW0mkyMWVlZXqlVjHIxBjTLN9aGAblEERVVaLRKPF4PKdJg/F4nK6uLkpLS3NWCM4nyWSStrY2SkpKaG1tRZblcSq+83H3/FZkKiWEYpWJyWaapfafYWCKD8OgHGKk312GQqGs1X41heDGxkYcDkeBVzk58XicUChEc3MzDoeDRCJxkIqv9v4GBwfHbW7aezVCXtOTyzmab5mYqdZlTLM8tDAMyiGElnhXVTWrmSWQCnH19PSgquqMFYLzgRZqi0QiVFZW4nQ6M64/092ztrn19fWNK0mdaQe5wdRMlInRPgOti38+ZGK0dU03zTI9RGYYmLnHMCiHAJl6S7IxKLFYjK6uLioqKuZVITiRSNDV1UVJSQkVFRU5rWPi5jY0NIQgCMRisXEd5HM5B/5QIV+fd/pnUCiZmJmuazoDYwwbm1sMg1LkTNZbMpVqb7pCcFNT06wVgmeDVk2mDeMaGRmZtdqw1WrV+y+0DvJQKDRvc+CLkUKGBbORidE+g4k5vkKuK5OBMcYlzy2GQSlSJvaWZDsEK58KwbMRblRVlf7+fuLx+LhqstnK108kUwe51uDX398/L/0XxcJcvddcZGLmqskSsh+XnC50+Xa6PgqBYVCKkKlG82pk2pgjkQg9PT15UQiezRdLC3F5PB5aWloy9p4Ual3pDX7p/RfDw8PzVh47H8xn4cJ0MjHJZJLh4eE59yIzDRubaGAA7Ha74cHMEMOgFBnZ9pakGxRVVRkaGiIYDNLS0pIXUUft+Ll+oYLBIP39/ZM2TM7lFzRT/0U8HicSiRxUvTSXyeW5olg2w3SZGM2DtlgsukyMyWTKug8pn2QyMO3t7TQ2Nuq5SmNccm4YBqVISA9xZSPqKAgCiqIgSRJdXV3Y7XYWLFiQt6R0rqEpLcQVi8WmbZicL3HI9PLYyaqXtLi/0+k8pBP8xTpnRlVVTCbTOJkYzYscHR0lFovNW5hSMxia55o+Lln7Tk7UISvGczyfGAalCJjJ3BJBSA3Bamtr0xWCC7GubEjXBGttbS1op3s+v8CZqpfSk8va3zUjc6htHsW43kzX1MQ+pGKQiQFjXPJMMAzKPDMT+RRVVfVY9JIlSwqSC8jWQ9Fk7+vq6vSYeT6OOx9kSi5HIpFxEvHzEZqZCcV6jqfznIpZJgaMaZbTYRiUeWKmc0sSiQTd3d36l6lQX6jpNn5N9j4ajeasCXaozEMxmUzjJOK1O+eJEjGKohRliKnY1gO5h+KKWSYGjGmWEzEMyjwwkxAXHKwQHAwGC7bGqdaUS4grl+POxfNnw2QSMbIs097ePi7BP9eimxMpVg8FZvcZFrtMjEamaZZvBwNjGJQ5ZmKjVTZfrvlQCJ7MQ8k1xJWJYt7ssiX9zjkQCNDS0jJOIkaW5XH5l7daBdlMybcnl0+ZmHxel9MZGFVVx4XH3irjkg2DMkdk01uSiflUCE7/gml5m3A4PKvJjhPXP5P3U4wGaeLGli5PMl33eCEoxhAcFH5ds5GJ0TTyCrWuiQYm0zTLQ12q3zAoc8BMRvPC/CoEp3soWmmyw+HIy2THYjQI+WaiPEmm7vF0DbJDcfOYCXNt6HKRiZmPEmWNt4qBMQxKAZnpaN5iUAjWDEo4HKa3tzdvpcn5yKEcigZpPiRiinEDmm/PaSqZmMHBQSRJYmhoaM7FRrMxMFoVmdVqLVoDYxiUAjHT0byaQnBlZSVlZWXzetH4/X4SicSsQlyZOFSqvApJoSViivUcFdu60g19IpFgcHAQm802rlR8PsRGMxkYWZbp6OigqalJX3uxeTCGQSkAmlvd1dWVdRWUqqqMjIwwOjo67wrBkiTpw7vyEeJKpxgu+mIjF4mYXCqXivFcz7eHMhVaF396qXi6JznfMjFao6XJZBo3zVJVVXp7e1mxYsWcrGUqDIOSRyYm3rWcyXRo+kZmszlnheB8f0G1EJfD4SjYDJWJyf65LDs+FMiHREyxeQLpFOtnmOlaTPckYX5lYtL3E83AiKJIIpEYN8VyPjEMSp7I1FuSzZd6NgrB2mvk4yKeKDA527klk1Gsm0kxM1OJmGI818XsoWRzAzifMjGKomS8eZjs9/OBYVDygOaVTJRPma7TfLYKwflKUEuSRHd3N1arlYULF+ZkEGeCkUOZHdlIxCiKgs1mK7oKsmI2KDPxludSJmaysuZsIyFzgWFQZsFM5VPSFYK1DXwm5GPT1zykmpoa3a3Xjl0IMh03ly9ysXxxiolMEjF9fX0Eg0H8fv+8iStmotgNymzu9AstEzOZ4VAUpWgaZw2DMkNm2luidZrnoww3m7nyk6GqKsPDw3qX90QPqVAeSvpxVTU1qliLQxfLl+JQR9N4Kysrw2az6XfNmqDofErEFLJ5cLYUoos/nzIxk4W2iumcGgYlR2baW6KJKUYikbyV4c50008fcjTZDJVCh7w0BQCXy0UsFsPv9+u5AJfLNWWo5u0e8soW7UYn011zJBKZF4mYYv7sCh06mq1MzGSGQ5Zlw6Acisy0t0Qbiet2u/NahjuTTT8ajdLd3Z1VEUChPJRkMklnZydNTU26lyUIgp4L0EQwzWbz23Ye/GyZ7LObWEE21xIxxR7ymsu15SoTM5nBMzyUQ5CZzC2BgxWC80kuBiW9zyWbIoBCeCial6bNcTGZTLrUNxycC9BCNVqzn9a5XKwb0qHIXEvEFLtBmc+w63QyMZIk6UUA6cZ+JlVeX//613n88ceprKzk7rvvPujvXq9XAG4A3glEgIt8Pt/L0x3XMCjTMNPEu5Zj8fv9BVMIznbTn0mfS74NiuaVaOGsbL64mZr9/H6//iXT7qQP9XG9hWImG/dcSMQUs0EpprVNrOYbGhrS5ZCGhoaIRqM89NBDHH744axevTqnY7///e/nwgsv5PLLL5/sIWcBSw78twH45YH/nxLDoEzBTOeWaPkBURRpbGwsWOIzm00/lxBXrsfOFq0Qob6+HqvVSnd3d87H0EI1Ho8Hi8VCRUXFQb0Yb0exxcnI12eXb4mYYtu00ymm8tvJcDgcurFPJpPs3buXzZs38/vf/56qqio2bNjASSedxLJly6Y8zlFHHUVXV9dUD3kv8Eefz6cCz3m93jKv11vv8/l6p3qSYVAmQUu85xri8vv9DA8P09jYSH9/f0HXqHXjZ0KroPL7/TQ3N2Oz2XI+dj76RYaGhgiFQnohwmw7erXPYeLdW6Y7aZfLVRSlsvNBITbuqfouBgYGkCRp2qqlYjYoxbw2ODi0ZbFYeNe73sX69etxuVyYzWZeeOEFnn322WkNShY0Ap1pP3cd+J1hUHJhpiEuWZbp7e0dpxBcyEopmHzTl2WZnp4eRFHMWcplumNniyzLdHV1YbPZDipEKERj42R30sVQKvtWJVMF2WRJZS0sWcxVXsWU3M7EVGXDJpOJmpoa3vWud83Dyt7E+GalMdPeEi2sVFlZSXl5uf77qTyIfJBp09fUiquqqigrK5vV8Wf65dfOx8RmSZib+HmmO2lto9OM/lwOu5ov5vpuOxuJGFmWi7KDH4o/5DVVp3wBruFuoDnt56YDv5sSw6BwcG9JtsYkvXIqU1ip0HdkmZoEZxrimurYuTAyMjLtGmZzTmaaBJ640UUiET25OV8KsoWkGDyBTBIx3d3demiy2M77oRDymsNO+f8An/N6vbeRSsaPTZc/AcOgHBTiyvaCyqZyqtAhL81gaSEuQRBmHOKaSK5fLG0oGDDlGiYet9DnKBOiKGasZNIUZDWpEpfLldc5MHNNsW2O2vyOyspKrFarHpb0+/0FF1bMhkPBoOSrU/6yyy7jhRdewO/3c+KJJ/L5z38eSZK4+uqrP+3z+W4G7iVVMryXVNnwx7M57tvaoMw0xJWtQrAoigUPeSUSCdra2qioqBgXbsvHsbPd6LWqtvLy8mkl7/OV7M8nE/MvkyWaDyV5mGLwUDKRvmlPVO6db4mYYs+hTBXyyvW6vP766zP+/kMf+tDNAAequ/4n1zW+LQ2K5pUkk0lEUcxJPiUXheBC331rDWitra15H8iV7dq1xs1c5t7Pdcgr1+NPTDRreQAt0ZxenlzMG1Ax3m1P5gVkIxFTaMN+KORQJuuUL5YbnbedQdHuhNrb26mrq8s61zATheBCJeW18FI8HqeioqJg0x2nk9/v7+8nHo/n1LhZzF/YTKT3t8CbneTpUvGSJOkhm/T3F06GScpJSm2l8xK+KUayDStNJRHj9/uB/EvEFHvIazIMteF5Il0+JZeE+UwVgguRlE8PL7lcLmRZzuvxNabyUCRJ0rveW1pa3labpdZJPiQPccP2G+gL9bHStZKP2j+Kkjwwg8Rh5+c7fs4/fP9ARWVj40auO/U6nBbnvK27WJjppj0XEjGGQZk9bwuDkqm3JJv8hnYXHovFZqQQnO+Q1+joKENDQ/rM+bGxsYKN/pxs7dqI4Lq6Oj2p/VYnKSf5+cs/57599+GxevjU2k/x/We/TzARxGqysr1/O7jgymOvJJFIcPuO27lt5214LB5MoomnOp/iJy/8hG8c941xx1VUBYHsc3e5UKybY76+D4WSiCnGczYViqIUVe7nLW9QJpNPmc570BSCPR4Pra2tMy5XzUfIS1EUent7URRFb5rM5/EzMfH9qurU81PmikJtvn/Z+Rd+t+13KKrCh5d/mE+u/SSikPqS3vDSDfxh+x9wWVwMR4e59KFLsZqs1LpqU2uSBf7l+xdfP/br2Gw29oT3YDFbsNvsqcmJso2n256ms6UzNVjJbuHHW37Mf/b+B7No5tPrPs0lay455DazmVAoQ5dviZhiY7K9SjufhkGZA7TEOxzcWzKVhzI2Nsbg4CANDQ26iz0T8lHlNVUFVSGT/unHTi+Rnmx+ylySj/esqAqjsVHK7GXct+8+rnvhOpxmJ4Ig8Mutv6TMVsYFyy8A4K69d+G2urGarNiwMRobRVKkccdKqAn+tvNv1LpraS5pRuHNO8ckSRZWLeRPHX9i5+BORsIjvBF4g1JbqkLwhpduQFIknuh4gsHoIMc1Hcflx1yOyzI7depiNVBzUVgxW4mYYmOqCq9i+pyL/0zOgGx6SzLd3SuKQl9fH5Ik5UUheLYbvmbYJqugKnQVmdZhnq/O+3yQjy/Plr4tXPrQpQQTQTxWDwtLFyIKIjZzqkDDKlt5sO1B3aA4zA4iyQhWU8ors5vtOMwOhqPDmAQTQ9EhEOD7z30fAYFNzZtYWbWSXcO7EASBGmcN/ZF+nut5DofZwV7/XkyCiWp3dap0PZ7kB8/8gEp7JQ6Lg//s/g/hRJjrTr1u1u/VYHqJGG2wlSzLheo6nzWHwiwUeAsalGx7SyZ6D5onUFZWRn19fV42rpl6KOmGLT3ENZFCeyha2E/L2bwVCCaC/M8D/0NSSVVfhZNhnul+Bpf1TW8glAjxTPczbPzjRo6oO4L/XvvffPupbzMsDQPQ4Gng12f+mrv23kVPsIfbX7udalc1VtGKqqps7trMb876DaIgIikSTouTT933KaocVQiCgMviYjQ+SlJJYjPZSKpJTCYTZY4yFEXBbXLz4L4H6VvZh9vlNuT588xkEjHBYJCuri7978VUGj6ZoSumaY3wFjIoE+VTpjvJ6TmUdIXgbHspsmEmG34uhq1Q0i6KouihAW0QVjExm/fcGegkoST0cJLL4kJSJN3jkBSJgcgAZfYy9vr3smt4F/fsvYdvn/Bt/DE/JbYS3rvkvTjMDj628mOoqsqdvjuxCKm4vCAImAQTUSnKSS0nAfBK/yv0h/vpC/Xhsrqoc9URSAQIJULExBi1rlqiySiCIGA2m1EEBafgZEAawD/ixzXiGle+XIw6WIcyWoWY2WympaVFnxyaXho+3xIxk3kihodSALQkXC6jeQUhNYpWmwkwlScwU3JNmk8X4sp0/HwblPRxxTabreDGZK6/nNXOahRVIakksYgWkkoSAYE/vOsPbBvYxou9L3LX3rvwx/wggMVkIZAI8OtXfs1d599Fma2MHz3/I27ddisIsL5uPU2uJnpjvXhsHqLJKBaThRVVKwBIyAm+9eS3iEtx4kqcYCLIaGyU9y15H2cvORurycqG+g1cct8l7BrahdlkBjW1yX3sgY8hKzIXr7mYz637nCHPX0DSiwUmTg4tBomYqXS8DIOSR2Y6mleSJEZGRqitrc2rZEk62XoQ2Ya4JpJvgxIMBunv76ehoQGbzUY4HM7bsScj1y9jro9XVZW/+/7On3f8GbNo5jNHfIavbvgq//vc/5IQE8iKzOXHXM7SyqUsrVxKub2cu/bepdf2K6qCWTSjqArdwW6e6XqG32//PS6LC1EQebH3RY6tOpaG8gae7noaURA5s/lMtg1so8JRASrsH9tPS0kLo4lRYskYgiBwxbFXsKh8EQC/ePkX7BreRVxJGZ1qZzWRRIQSWwmyIvO7V3/HMQ3HcEzjMYY8f4GY6k5/okSMdu6Hhob00dSFPveTGQ7DoOSJmc4t0RSC/X4/Ho+nYMYEsvNQNI+gpKQk59xNvgyKqqoMDg4SDof1YgStvr3QFPo1/rX7X1z95NVYRAsKCl98+Iv85qzf8I/3/4OOQActJS1U2Ct4uutpSmwlnNB0AksrlrI5shlFVhAFkQZ3AyoqNc4a/un7J4qqYBJTRt9hdrAnsIcPr/4wu4Z3YRJM3LHrDv72+t+oclZR76pHVmQEs0CFvQLVphJKhvQCgO2D27lpy004zA7cVjeRZIS9I3tZUr4EAJNoQkVl3+g+jmk8BshOnl+SJMLh8Ftanj+f5NLBn2k0daElYuZYun7GHJIGZbLekumQJInu7m4sFgt1dXUFvwOfzkPRdLBmWp6cD4OiSco4HI68D8LKhkgkolfZZPs5ZrsuRVW4Y9cdmEUzDksqhDgWH+Nfvn/xv6f8L4vLF7N9cDun33Y6CTmBrMqcufBM/vKev3Dts9fyf6//H06LE7vFzpeP/jI1rhpaSlv0NQiCQEyKsbhsMX/d+VcqHZW0B9qRVAlVVVEVla5gF26rm0AigCiIKKrCiU0nAjAcHaZjrCOVdzlgoJyWVOlyKBmi1FaKoiqIiLSWtE76PjMlmdva2t7S8vz5Zqblt3MlEWOEvAqE5pXkGuLSOry1oU+RSKTgG+ZkG76qqvT19ZFIJGZVnjxbg6KpJk82CKvQJcmDg4OEQiHMZjMDAwPjYtOTNU5m83kHE0G+8cQ3eLLzSYaiQ1hFK06Lk7gcJybFUHnzfX3l0a8QlaK4LC5UVeW+/fdx1mFncc2ma/jckZ9jz8ge7tx7J7duv5XHOx7nK0d/hQfeeIDtg9sRBZFyezlfWPEFLn/5coBUch0BhDcT9CuqVnBU/VHsGt7FkvIlPNHxBKf+7VQUVeHklpNRFAVJkTCLZsLJMAtKF2Az2Qgnw8iqzIdWfIjjmo7L+tyKoqhP8IPikecvVn0xyF/DZaEkYqab1lgsHDIGZTYhLm3jSu/wLrS0PGQOeaWHuOrq6mZ1Ec90008fDDZZ13sh72JVVaWjowObzUZzc7NeTJFMJgmHwwwODurNZy6XC4fDkdOX5ttPfZvNnZspt6fCme2BdiLJCHE5jiiKbO7YzJa+LRxZdyRdwS4c5pT3on1ePaHUXJc6Vx1ff/zrPNP9DGbRzJ6RPbw68Cp3nXcXvhEfcSnO6prVjPWPccGyC/jLzr9gES3IioxZNGM32YlIEY6qP4pL118KwJce/hKvDb+G0+xEReWxjsd4x4J38FjHY0iihNvi5nfv/B0Lyxayf3Q/JbYStg1sY8MfNhBMBNnUsokfnfIjPNbsNeWKSZ6/WL2jQlVLTSURMzAwgNlszkoiZjLDoShKUeXMimclUzDTuSXJZJLu7m4cDsdBCsFzYVAmhrzSk96z6cDXmIn0iqIodHd3z2re/GyIxWIkEglqamooLS3VtcjSY9MTZeO18bHal2669/xM1zOU2koRBZEKRwWBeICoFKXOVUetuxZZkbnisSt48IMPsrJqJa8MvILH4kFWZUyiiaWVSwHwx/w82/0sLotLv3ZGoiPsHNo5zmPYEtjC4vLFfHDZB9kzsoct/Vvwx/zE5BibWjbx32v/W3/sK/2vYBFTlUECAoqqUGYvY/OFmxmJjtDkadLDcyurV7JtYBtfe+xrmEQTDouDR9sf5crHr+Rn7/jZjM5/pia/uZLnL1Z9MZi7taUbd0A37iMjI8Tj8UklYiYzHMUkDAlFblBy7S1JR9u8JxMxLKQOVvprqKo6Y6n3bI+fLVqPS76HcWWLVhatVc1MRXrfBTCuNyAajdLT0zNp2KbCUcFgZBC31Y2qqphFM+X2clpLWxkMD9IeaCepJPnMA5/hmhOv4XMPfY6OQAcqKpcddRkbGjYAYBbNqAf+J3DgsyR1PI2bX76ZHz/3YywWC6qq8vVjv85NZ9zEQGQAgBpnzbiNalH5IrqCXVhNqSZIURBZXL6YSkcllY7Kg87Di70vIsmSrlTssrh4suvJGZz97M/zRHl+7TznIrKYiWIOec2XhEm2EjHavydi9KFkyUx6S7TnaQrBU23ehZ73DqkvqyzL7N+/H4/Hk3ep91yOlWuPSz7RckbJZJKFCxeyf//+nO8Itd4Ah8NBX18flZWVRCIR+vv7SUpJ2mJtyCaZdY3r+Nbx3+JzD36O0dgoKiqrqlfRGehkODrM/rHUa1tFK4+0PYLL4uLeD9zLUGQIl9VFXIpz++u3IykSp7Sewvu97+dfvn/peZdllctYV7sOgO5gN9e/eD1m0YxVtCIpEtc+ey3vWvwuXThyIt854Ttc8O8L8Mf8KKrC0fVH8+EVH9b/npAT/PDZH3L//vsps5VxQvMJ+rUqCAIJJUG1o3oWn8b05zk9RKOVyE53B50NhocyNVNJxIRCIT0Xo51/LcqSq4eyefNmrrnmGhRF4fzzz+dTn/rUuL97vd5W4BagGhgBLvT5fF3ZHLsoDcpMe0tyUQiei5BXKBTSE+8u1+yE/mZKegFAIZo3p0ObneJ2u/WcUT6+uNoXr7SslC89/CUeb38cAQGzYOZHx/yIX5/0a/aE9lDuKufE5hO5/437ueyRy5BVGavJSo0zlbDe3LkZURCpcdXQF+rj3X9/d6qpEfjhcz/k7+f8nVVVq3ip7yUWli3k4jUX65peA5EBLKIFDlxGZtGMqqgMRYZ0byOajPLX1/5K21gbR9UfxbsXv5sHPvgAOwd3YjPbWFm1Uq/wAvje09/jr6/9FatoZTAyyL7RfbSWtOoelFk0870Tvzfr85ctmcb0hsNh+vv79RLZbPNcxbBpT0ax3enD+Oq9ZDJJaWkpiqIQiUTYunUrv/nNb1i+fDknnXQSmzZtykoBXJZlvvOd73DrrbdSW1vLeeedxymnnMLixYvTH/Zj4I8+n+8PXq/3FOD7wEezWXNRGRTtgh0bG6OkpCSnDzhXheBCVjGpqsrAwADRaBSr1TpvxkRTAkjfzOcSrYos02CyfG0uD+5/kMc6HqPMXoYgCAyEB/joYx/FZXGxrGwZV66+kqGBIU6sOZErNlzBtc9fi8fiQRAEIskIDZ4G/Vg3vXwTw9Fh3NbU3XkoEeJ/n/9ffvvO3/KRlR8BUlMYn+l6BpNoYlHpIkyiiUgygtls1qvFmkuaAZAUiY/c9RFeHXgVRVW47bXb2D64nW9s/AZHNxyd8f38Z+9/sJlsmEUzFiyEkiHOOfwcLKKFzV2baXQ3Umor5caXbmTH4A4Wly/ms0d8Vl9zIUm/g55YIqvludJLZCcTZS1GitnYwZu5EofDgcvlorq6mhUrVvDQQw/x6KOP8stf/pLy8nI++MEPcvrpp096nG3bttHa2kpzc+oaPfvss3nkkUcmGpTlwGUH/v0Y8O9s11k0BkUzJolEAr/fP22MXWOmXeaFQtvEXS4Xra2t7Nu3b17WoU2ZnK9BWFrzaKYqsvQv7mw75fvD/Xr8OyknGYwOoqgKde46do3t4urtV/PP9/yTSCTCieUn8jfX32gPt6e8GZOZS9Zcwv7R/SwoXcBQZGjc8c2imcHIIJC6Pn/+0s+59rlrScpJHBYHK6tWcuNpN/L5Bz5POBmmzF7Gb876jZ7veLH3RXYO7tRl8WVV5pZtt/Clo7406fRGh9lBTIphPvDVFBAIJUL8a/e/iMkxtvdv5887/4zT7MRpcfJM9zNs6dvCX97zl3G5nbkgU4lsugbWxAqmYt60i00GfiKZPKiKigqOPfZYzj//fEpLS+nr65u2t07LK2vU1taybdu2iQ97FXg/cAPwPsDj9XorfT7f8HTrLAqDoiXetdK4bENRhVAIng3zvYlD6sIbGhoiFArNaMrkbNGGgamqOmkVWT69w6WVSzGJJiRFIipFURQFp8WJKIh4rB72j+4nokaoqKigoqKCOxvu5L7d99Ex2sG9b9zL9c9eDwKc3HoyJ7eczMNtDyMpkl6BdcbCMwC4c8+d/PiFHxOX45gEE+FEmO2D23mx70X+847/UF5XToktVbnTE+zBbrYTlaKIgqhflyKpc5GQE5MalCuOvYKvPvpVAvFUI2S9u56B8ABxOU6Vo4qEnKA92I5JMFHjqkFVVXwjPnaP7GZ51XJg/pLfEzWwtASzNuTKYrEgyzKSJBVVqSsUXz/HRKaSXtHWnW4oZslXgJ97vd6LgM1AN5DVrPF5/VQz9ZaoqprVaN7R0dGCKATPBC3EFYlE5mUT15Blma6uLqxW60Fd73OBlsMqLS2loqJiytefzaaX/twNDRu4dP2l3PjSjcSlOGbRrOdHZFVGFMRxg6pcVhfnrTyPrz76VeJCHLPZTCgR4s7dd7LEuoSPez/On/f8GQWF/1r1X/z3ulTJ7xMdTyCpEiIiAgKiIJJQEuzz70OsEymzlzESHeHCuy5k1/AuVFTOWXIODrODscQYVtFKQkmwvm69PlgrE+9d8l5qnbU83vE4pbZSPrj8g3zv6e9hEt7c7LSKs6nO53zfXMHBFUzBYBC/369LlGjhsWKQ5y9m7wmm7pTPxRDW1tbS19en/9zf309t7fgCEp/P10PKQ8Hr9bqBc30+32g2x583gzJZb8l0H6osy/T09CAIAosWLZr3C1ELcTmdzkk38bm4WKPRKN3d3VRXV2cdLswnmndWX18/bc5ots2cE7l4zcV8ePmHCSfDfO+Z7/Hg/gdRpVRJ7tc3fh2L6WADv8+/j4HIAMPRYX264p19d3L7u27n02s+TSQSQZZlRoZHcDqdlNvKsZvsqU57VUVRFSyChaPqj9KPeeUTV/La0GvYTDZUVO7ccydf3fBVnux8ko5gB0fVHcXVJ1w97j0MhAf42Zaf0RPq4eSWk/nwig9zTOMxum4XpIzMEx1PEEwEQQW7yY7FZCGUCJFUkiyvXM7hFYfrjy/G8lxBELBYLNjtdmpra/UZJBP7jOZLnr/YQ16Q+drPtZhg1apVtLW10dnZSW1tLffccw/XXTd+kJvX660CRnw+nwJ8nVTFV1bMuUGZ2FuSS9WPtmnma3qgFnqZ6YWUTYhrLi5SLV/R3NyMzWbL67GnOz+q+uas+Vy8s3xveg6LA4fFwfWnXs9j7Y/RF+6j0lHJjS/dyDc3f5MaZw03nn6j3mPS4G7g8Y7HEQURk2BCVmW29G1hTBqjpqKGiooKElKCO3beQYe/g2pzNS2uFmJSjIgUQRRE3r343fzXqv+iu7MbgK39WzGLZr1pMakk6Q5189f3/jXjmsfiY7zn7++hP9yPIAg83vE4nYFOvr7x6+Med2LLifzg5B/w+22/R0XlimOvoC3QxraBbRxefjifPfKzBxnNYtwc068lURRxuVz6zUd6B/l8yPMXu4cyGbl6KGazmauuuopLLrkEWZY599xzWbJkCTfccAMrV67k1FNPBTgJ+L7X61VJhbz+J+vj57j+WTExxJVLb4kmFZLPTVNrbsw1dpquzjvdJjrT18gGzcsLh8MF6XrP1ls0mUw5zZqf7Rd3KmMkCiKnLkjpZJ3y11PoCHTgtrjxx/x8/J6P89iHH6PWVcv7l76fO3bdgazKqe5wixOH2UEgEaDGVYOsyFx0z0U81/McSTmJxWThk6s/yafdn2Y4NMyq0lUsrlxMJPSmJtzCsoX0h/tT5cOqilkwc1jZYZOu9fH2xxmJjejTImVF5nfbfsflx16OKIw/l6ctOI3TFpw26/Mzn0y1aU+Uh5lref5iLBueDk0RPNd1b9q0iU2bNo373Re+8AX93z6f7+/A32eypjk1KFqjXzbGRLv4NIVgq9Wa901zJs2NU6nz5us1siGRSNDZ2YkoijQ0NBTkyzCVBzfbrvuZnpNsjdFwdJjuULdeTms325EUiZ1DO6l11XJ0/dE0eBoYiY5gM9uQFIkKewUtJSk14Rd6X+D53ucxC+ZUMlmV+dWrv8L3KR82s22cbHkymaS9vZ3LV1/OJ4Y+QVgKo6gKRzUcxUdWfGTSNSoo44QqBSFVCPBWZTYS8RPl+fOh4DuTtRUT2pqLyRDOecgrmyoubRPWLqBMarj5INfmRk2xOFNfxWQUQuIlXfa+v7+/YHekk1Vjaa8/04KIufjieqweBARdxVdRFd1oALitbu445w4+/+DnaRtrY1X1Kn52+s/0psVAPIBJMKWUg3mzQisiRbCZUxLwmmx5MBikubmZykgl/zjzH7zS9wpOi5P1jetRJRVVzLxZndh8Im6Lm9HYaGruiarygaUf0L2TrmAXvaFemjxN1Lvrs37vxbw5zmRd6Q1+mjx/JBLJqzx/MedQJvt+F5t0PRRJ2fBEBEHQq6YmU8PN1+tks9lrpbjBYDDnKq58eijpDZOarEwhGzS115zq9fNx3EI81262c9VxV/Gdp7+jj/l99+J3s6Zmjf6YwysO54EPPpDx+UfUHYFJSDUtWkwWknKS5VXLKbOVZXy8KIq6ZMmixkV6yEYrmZ0Ysgknw/zy5V9Sbi8nLsepd9XzniXv4X+OTIWr/+X7Fz996aeIgqhrhJ2x6IzcT1YRkU+J+EwKvrOR5y9mI3yoTGuEIjQoyWSSWCyGzWY7SCE432Sz2Wsht5muJ18bviZhojVMplfFzYWHopUk2+32aWVtsjnuXHDhygtZVbOK14dep95dz4nNJ2b92tXOam4/53a++PAX6Q31cnT90dxw+g1ZP3+iZEk8Htc9XFVV+dnrP+PZ/mepdlVjM9lIKkne730/ZtHMQHiAn770U0qsJVhNVmJSjB889wOObTxW73VJZ0vfFv6848+oqHxkxUdYW7W2KDfHQm3a+ZDnL+YcylQGpdg+56IyKJpCsDb9rNAna7qQ11QDqLIlHyGvqSRMCilyqRmUWCxGV1dXXkOP2ppn2yk/HWtq1ozzSnJhdc1qHv3wozN6bjrp4bHKykpkWebFJ16k3FqOnJCxClZCyRCv9L5Ck6eJoegQoiDq4Te72U5YCuOP+Q8yKC/2vsjH7/k4spLqO3u47WF+fcavaRUnn/A4X8xFsUAmgcVs5PmL2UOZzNgZHgqT11KnKwQPDAwUXLgRJjco6aWwsw25zWbDz2YdhfZQAoEAY2Njea+umy2qquqDsxaULpi087wYMZlMlDpS430dFkeqWieuIkUk2tvbU6XHSkpyxW11E4gHcJgdesPmcHSYtrE2al21/H7b75EVGZvJRkyOEU6E+d223/Hddd+d53d5MPOxaaf3t8Cb8vyhUGicPL82l6cYmcwTKUavat49lEwKwXOhBAyZvYf0qrJcSmFzeY1skGWZ7u5uzGbzlOsolEHRPBNFUViwYEHey55nm0O59tlruWvPXYzERgglQngrvCwuX0xHoINSeylfPvrLes/JfNEf7uepzqdQUTmu6bhxifXLjr6Mbz35LcbiYwgIrK1fy9mrz8YiWojFYnxj/Tf43gvfoyfaQ4mthO8e+13sZjtPdz3Np+//NCoqkiLR4G4gLscZjA6CCoqq8Gz3syRWJ+bxnWemGDbAyeT5tZDybOT5C4WRQ8mSyRSC58qgTPQe8hHimu41skELMWXTwFkIg6J9uURRpLa2Nu/GZLZ3qc8OPMs/ff8kLsUZiY2gqiqvDr7KtsFtrKlZw1h8jCsev4LfvfN3LCpblKdVH4ysyDzR+QS7OnZxuud0llQs0f/WGejkcw9+jkA8AAL8cccf+elpP2Vzx2bue+M+Kh2VfPO4bxJIBPBYPZzYfKIe4nI4HJy69FROXHIiI5ERrIqVRCzBG21v8N8P/TeSKmE3p8I1+8f2p16DlCSLtsE8P/A8C5oXFOy9z5RiCytpuS5tHPZs5PkLhRHymgLtjn0qheC5NChac1C+QlwTyXXDHx0dZWhoiKampowT2mZ7/OnQjGpdXR2jo6N5O246s1lzV7CL77/yfboj3amSYMGM2WQmJsWwiBbG4mN6g+GOwR05GZRAPMDffX+nP9TPutp1nLHojEk3QFmRufjei3my60lkWeb6nddz0ztu0iuxbn/9dsLJMI2eRgD6I/188aEvsmNoR0q6BYXNnZt58IIHx0nop2MxWaj1HNBZKgVTxERSTWI32ZHlVM7ELtoRrAIKqbBInauOpJwkIkWyft9zRTHnKSA/8vyFIF86XnPBnBuUWCxGe3s75eXllJeXZzxRcxnySiaTdHZ2Thtams1rZPNeZirDny+Doqoqfr9/nOT82NjYrI871evNhC8/8mUiUiQll4JMUk2CAibBhIqa+n9VBZVxopDTEU1G+dLDX6It0IbNZOOhtofoDnVz8ZqLMz7+sY7HeLLzyVSvyoHP+LJHLmPnop0ABBNBrOKbNyZW0cqW/i04zU7MptTXLpQI8cD+B/j46o9ntcZyezkem4dQIoTD7CAux5EUiRPqT2Dr4FZKraUk5SQmTKyoWJH1e58rit2gTCRXef5CvbdDKeQ156tRFIXGxsYpq7jmyqBIksTIyAilpaUF6zbPJuSVSCRoa2vDarXS3Nyc011HPgyKoih0d3cTiURYuHCh7qEVKj+T/rlHIhH8fj+xWGzK14pJMfaO7GXH4A4qbZVUOiv1+R+qquK2ujGLZkRBpD/cz7KqZZzQfELWa9o2uI3OYCeN7kaqHFXUueq4/fXb9eqpiQxFhsa9F7NoJpAIICmp5O7JrScTlaOEk2HCyTARKYLDPL4JVDjwv2wxiSZ93spQZIj+cH9KAcAkcfphpyOaRaqd1XzryG9RIVTQ3d3N6OgoiURx5FOKVRImWzR5/traWlpbW6mpqUEQBIaHh2lvb6evr49AIJD3BL8R8poCl8ulC0NORqENiqYN5vf7KSkpKag673QeilYqnY1K72THn80XVSuKKCsrO8hjLGQFmaIoDA8PMzo6isfjwe/3E4/H9Z4Bl8ulG1bfsI/PP/R5QokQw9FhoqYozWXNlNvKGYoOccbCM1hZvZJ1devoCnThtrrZ1LxJz0lktZ4JkicCAiopVWETBxv4dbXrQCDVNKkKxOQYa2rW6EZuU/MmvnL0V/jb639DVVUuWnURbWNt3PjSjcSkGAoKHqsn52bFdbXruGbTNXzziW9S66rFZrLREeigtaSVJy58AoBufze3br2VuBjn6KqjOaL8CL0fYz7zAYeahzIdFouFsrIyXR5Gk+LJtzy/oigZm4iLcYbLvFd5ZaKQBiW9eqqurm7aCWezRRTFjHcs6QKTs+k6n02fi6aWPNnY5EIalOHhYcxmM62trUiSNO5LGQ6H6enp0TWbvvTol/SJiIvKFrF7ZDf+qB9RFPnIio9w1XFX6RvV0fWZR+tOx8rqlVQ5qugN9+IyuwgkArxr8bsySt8DeCu93HjajVz26GWEpBBratfw27N+q/9dEATOXnw2Zy8+W/+dqqpUOau4b18qKf/Fo76YlaRKTIqRkBN6D0p3oBu72Y7dnMqxlVhL2DWyC4DR2Cj/dd9/0RPswWK28J99/+HKY6/kA8s+MO9y8cVqUPJxjaf3Gmn5l3yd78k8kWKompvI28qgTJS/j0QiBXfDM23KmsCk3W6f9SCsmWz6mpRMNlMd831+kskkY2NjlJSUUF9fP+74mRoARwIj9AR7KLeUE4/HcZvdNLmauGTtJZy+8HQOrzh8yvMXiAcIJUJUO6snNQ6Q0v766Wk/5ffbf09fuI8j647kA0s/MOV7OXvx2bzzsHeyr20fixcunvKx2vv7yIqPTCkYmY6qqlz/wvX8cusvUVE5uv5obj7zZlpKW3TvSRREgomgPq3x0fZH6Y/0U2GvwGw2E5fi3LT1Ji5YfkHGfIAmFz8TuZJcKWaDku915VOef6qQ19veQ8nmg8u3QUlPOKc36M1FrmaiB6EZtXyVJudqUDQPzWKxTGvMClVB5nK58Hg8U6oZQypmXVVWRX1JPcF4ELfFTUJK5QOW2ZZRLpcTiUQmVZz9p++f3Lz1ZgRBoMpRxQ9O+gHNJc2Trq/GVcPXjvlaTu9JEAQsYmE24Pv338/Nr9yMzWxDROTF3hf51pPf4vpTr+e57ud4uO1hfUzwVzZ8BUiNF05HFEWS8sEh5vRxvZPJlWgbXj7vgt8uBmUis5HnNxobZ0k+N3ptZocoigfJ3xdCCXgiWlI+UxVVvo6f7XvQJOcrKyuzGlCWzy+ZlrNqaWnB7/dnbagEQeDHJ/+YSx+6lEAygKzIfHTJRzl5xclEo9FxirPaHaHFYmGPfw+/3PpLKu2VWE1WhqJDfPfp7/Lrs36dt/ckKzLP9zzPnp49HOs5dtzUxHzwUu9LSIqkJ/MtooUXe19EFES+edw3uWj1RcSkGK0lrdjMqZuk45uP1+e6OFQHMTk2rUc0Ua5EK5cNh8PjwjUul2vGar5Q3B7KXG7MucrzZzNPvlh4SxuU6RoEC6mDpaEZre7ubgRByPtMl2y9iJlIzuergkxLUmrvPddNZUX1Cv593r/pCnSl1HmH4weFFLRBY0NDQyQSCbaNbkORFd17qLRXsm90nx4mmi2KqnDtM9fydPfTxGIxbu+8ncuOuozTFmY3BCsbmj3NutqwIKQmQGp9LYIg6LNb0mnyNHHzaTfzkxd/QkSNcNqC0/jk2k/m9LoTy2Uzqfmmh2uypVgNynyLLE4nzy9JEmazGY/HM86gz8SgbN68mWuuuQZFUTj//PP51Kc+Ne7vXq+3BfgDUAaYgCt8Pt+92R7/LWlQ0r2BqRoE5yLklUwmCQQC1NXVzWgQ1XRMt+mnS87n0t+SzbGnQ+u493g8VFZWjvvS5npcj9XDsqplALQPtx/094kVN0OmISRFIhQOYTKZCEpB6l31OZXpTsX2we080/MMDe4GImIEk83Ez7b8jFMWnJIXgwXwweUf5K69d7FjaAciIiW2Eq458Zppn+ct93L98ddTXV2dl3VMpuardZNnW81UrAal2NY1UZ5f65PTDHp7ezudnZ0sXryYBQsWZH1cWZb5zne+w6233kptbS3nnXcep5xyCosXj8v//T/gDp/P90uv17scuBfI+kWKMocym1CUoij09PQATOsNFDrkNTY2xsDAAA6HoyDGBKbe9NOnS85Ucn6mBkXLFdXV1elfjPQ1T3yNfH6hBUHgyKYj+a/V/8XfXv8bJsWE3Wzns0s/S3t7OzabTb/Dnml1XSSZmiuvrdtmsjEijyApUk7lylNhN9u5/Zzbeb7neSLJCEfWHUmFoyKr5xZqg8wUHtOqmYaHh3XPMdOwq2LtQyk2gzIRVVUpLS3VIyp2u529e/dyyy23cOONN7Ju3To2btzICSecMGXrwbZt22htbaW5OZVHPPvss3nkkUcmGhQV0JK7pUBPLmudFw9lujvfmX64sViM7u7urMfSFlJYsa+vj0QiQVNTE4ODg3l/DY3J3kM+kv8zPT9+v5+RkZGsFZIL8WUWBIFPrPkEZy46k0AiQJOniYSc4NnuZyEOa8Q1jI2NjZMz3zq8lQfbHqTUVsrHVn6MKmfVpMdfUr4Em8nGaGwUQRHoDfeytnZt3oyJhlk0c1zTcTk9Zy437smqmbS+onSxxWLduIsxuZ1O+nkTBIG6ujouvvhiNm3axJIlS9i1axfPPPMMHo+H446b/Frp7++nrq5O/7m2tpZt27ZNfNjVwINer/fzgAvIKYZblCGvmeD3+xkeHs5aAwsKs5Elk0m6urpwu93U1dUhy3JBvaBMm/7o6CjDw8OzlpzP1aBohjSZTE6rUDzTeSi50uBpoIEG2sfaed8/30c4GQY19ft/vf9feCweotEod+y4g6tfvBpJkRAFkb/s/AsPfvBBKh2VGY9b5azi2k3Xcv0L19MR6WDjgo184agvFPS95MJ8bdyZwmOa2GI0GmV4eBi32523WfD5YL5zKNkwWZWXw+Fg/fr1rF+/Pl8v9SHg9z6f7zqv13ss8Cev17vS5/NltYkd8gZFC3GpqppzjiDfaBP50sM8hWwOnHh8VVXp7e1FkqS8SM7nsvb0iZJ1dXXTliNny/M9z/PD535IIB7gzEVncun6S7N+bjrfffq7+GN+3JbU59I+1s6vXvkVlx9zOW63m5t33YxJNGG32FEVlYHwAL979ndctPIivbt84ga4tHIpvzrzV3R0dNDaWjwDrYoltDRRbLGjowOn00kkEhk3C97lchVUC2s6itVzmgpN1DaXddfW1tLX16f/3N/fT21t7cSHXQycCeDz+Z71er12oAoYyOY1ijLkpTHdCdPKYKcSmpwLtEbBTDPnC52n0c6l5hl5PB7q6+vzci6y/Zy08FqmiZKTkc1xd4/s5jMPfAYBAYvJwh+2/4GkkuTDDR/O+PjH2h/j+heuJy7H+cDSD3Dxmov189Ad7D6oX6Qr0KX/OybFUjkRBARRSDVZelK9GOkboJYfmM8NMBuKdW1ut1u/RiRJ0kuTtfDYbHNbM6HYQ16Z0PbGXNa9atUq2tra6OzspLa2lnvuuYfrrrtu4sM6gFOB33u93mWAHcg6Zl+0HoqWgJrsi5GrzHuhSG8UzDRzfi48lEQiQXt7e8YE+GyPPd3atZk2uYTXst3snul6hoSc0MNOolXk3n33ZjQoL/S8wGce+EzqcYj86PkfIQoin1jzCQCOazqO3f7dxKQYMTmGoiqsrV2rP/99h7+PP2z/A6qsIqsyNrON0xaedlBpspZ8TiQSejPaZOcokoxw9967CSfDbGzciLfSm9X7ni3F4qFMZOK6zGYzpaWllJaWZtTC0nIvhQ6PFbOHMtlnORNhSLPZzFVXXcUll1yCLMuce+65LFmyhBtuuIGVK1dy6qmnAnwZ+I3X6/0SqQT9RT6fL+sLqqgNSqaTpigKvb29KIqSlxDXdN3aU6HdmVdXV08qMFnIC1VVVQKBANFolMMOOyyvc1zSX2Oy3/f39xOPx2f0OWSz6TksjnFlvkklicea2QO6e+/dJOWkrncVl+LcsesO3aB8dcNX2dK3hSc6n0BAoN5dzxMdT/B+7/spt5fzjY3fwGaycdfeuyixlfDNjd9kedVyIskI3aFu3BY39e76cRug1vynjUBIb/6LSBHe+/f3sn9sP4qiYDFZ+O1Zv+XElhNzOk8z5aX+l9i+Zzvl9nLOOfycrKvDCs1k34fJtLAmNq4Wwjss5hzKZHvTTJWGN23axKZNm8b97gtfeDP35/P5XgNyqwJJY95CXtORqUekECEuLSSV64aoVTLlc9Z6Lmi5I0VR9C9ZvpnMQ5Flmc7OThwOBy0tLTl/Dtl6bWcuOpNbt91KVzAVmjILZl1iZCJOi5P0FhNZlcfJxdvMNsrsZZy56ExcFheiINIZ6OSFnhc4Y9EZmEUzVxx7BVcce4X+nI5AB1dtvopAItWhf87h53DRqosQBEFvRrPb7UQiERoaGgiHw3qvwN3dd7PXvxeH2YFgEohLcb6x+Rs8eeGTk77focgQO4Z2YDPZWFe7Thd/TCcpJ1Mz56c45/e33c9PX/4pVosVSZH49+5/s6FhA/64nw31Gzh36bl565UpFJkaVzWhxXRV6nyEx4o55HUoSdfDIeChaGihlVw6vbN9nVxCBBM9pPn4UBOJBJ2dnZSXl+PxePS+m3yTadPS1Aem8sqyIZtzXmor5bb33sade+4kEA9wfPPxrKtdR3v7wY2NH17xYW5//XZ9HK7VZOXLR3953GMkRdJnpkBKon6ibH06N7x4A+FkmDpXHbIi86/d/+LIuiNZXbP6oMeaTKbxWk39SWRF1icrCqrASHRk0jvON0bf4IrHryCSTAmWHlZ+GD846QcpQwm0jbXxvae/R2ewkzpXHf9v4/8bN3I4nT++/kc8Vg8ljhIkReKF3hfYM7qHSnslmzs20xns5LKjL5v0fRcj2qje9PCYVgSjVTu5XC7sdnvO38liNihTTWssRq+q6A3KTCcZ5vo62aBt5GVlZVMOCCskEyXnJUkqWMx8oiehybfMNm813XlrG2vjt6/8Fn/cz+kLTudjKz827XNaSlr4z3n/4bbXbiMmx3jX4nelZpak8Z7F7+GW7bdQaislLsVxWV0HPSad9rF2PX9jElPXXX+4P6v3d2Lridy09SYUFMyimYSU4OTak+no6MBsNo8L3wD89pXfIskSDe7UOOA9I3t4pO0R3r3k3cSlOP9v8/8jGA/S4GpgLD7GNzZ/g1veeQtu68E5s6Sc1Nc7Fh9LhQKtJZTZy5AVmdtfv51L11+qz2451JioSq1JlYRCIQYHB3MOjxVzDuVQ0vGCIjco8Xic3t5eysrK8la5NJFsq7C0QViTzQ4pNOmS8+nzUwqd9NeELQcHB/WJjoUsR+4L9fGJez5BOBnGKlp5oecFAvEAH1v1sYPWNfF6aC5p5qvHfHXS1z136bnYzXae6nqKEmsJH1n5EercdZM+fnHFYnYP76bOXacr9mpaWtNxZN2R/PiUH/Ptp75NOBnmnYe9kx+d8iNcFpfemzE4OIgkSTgcDvqD/Tgsb3reZtHMSGwEgMHoIKOxUWqcNQCU2csYiAzQG+rN6KWcueBM7th9B6qgEogHUFGJS3FGoiOUWGevcF1sTJQq0XTd0osnNAOT6dot1rt9mHoWSjGuuWhzKIlEgrGxMZqbmwu6gU8X8krXwprNIKzZXABTSc4X0qBoxrajowObzTZj+ZZMTLbmJ7ueJJAIUOtM1cfbJBt/ee0vfGzVx3il7xUue/QyegO9HNVwFD97x88otWcfdhMFkXcveTfvXvLurB7/paO+xNVPXU1fqA8FhY+t+Jg+dyQbzjn8HM45/Bz9Z0VV8A37CCfDLCpbRGN5o67su6ZiDf/a+y/qnHWookpSTrKqehWQGqClqioJOYHVlMqLKKpCqe3N975nZA+3bruVYCLI+sr1XLT8Il4YegFVVWkPtNMZ7ERAwGFx8Jl1nzlkvZNsmKjrpin5jo6OjlNGcDgcsyrKmQsmC8fJsmx4KNmgKIpePVRdXV1wb2CqkFc+tLBgdpVk8Xiczs7OSRWTC2lQJEkiEAhQX1+fldx9tkzZ9Jg2Z11FJS7HsQk2uoPdnPPPc/RO93v330vvv3t56IMP5W1dE6l11fKz03/GYGQQp8U5bgPXyPbcK6rCj5//MU93PY1JNOEwO/juid9lUdkinE4nnz7m0wg2gbv33k0inuD9re+nIlZBX18fLpeLT67+JL/a9is973PRqouocaU8lq5gF19+9MsoqoLNZOOWvls4//Dz+cU7fsGGP25gQekCRmOjJOQEJtHEaQvyp4hc7ExU8pVlmWg0SjAYZHBwELPZrAtcFqNhOZRmoUCRGRRtvnlJSQkVFXNT5jhZyEsbBpVLs95kzFQmP5ucRaEMihbiczgceTUmGpOteVPLJm7eejN94T4GIgPE5Tj1rnquePwKPQymffG39m8lGA/isc3u85kKs2jOakzvdLzQ8wJPdj5Js6cZQRAYjg5z05abuO7UVGOZ1WRlaeVSfvHyLxAFkZ+/9nOcJU4+XPthIpEIRziP4Bsrv8GYOkZLeQsr61fqx36p9yWiySiNJY10BjrZ5d/Fd57/Dvd23EtciuNxePT3EEqGUkb5bYrJZBoXHkskEvT19elyRenKycXgARhVXlmQyeJqm6eWoxgdHc04iz3fTNzsVVVlZGSEsbGxvA3Cmokm1mx6PGZDeq6msbERv9+f99eY6i6w2lnNH971Bz5298cIxAN4y71UOarY2rcVRVX0c6mqat6k6OcCf8yvlxtDSo6/L/ymDEY0GeWLD38RSBkxAYFrn72WXUO7cFldnLXoLI71HqvPyXh93+vc3nY7r429RlyJE5WijMXG2Dm4M3UMwcz+0f0klASj8VFKrCVEpAhWk5WV1SsPWl+hKdZmS6vVitlspqqqCovFovcWpYfHtOqx+fBepkrKF6JVYLbMu4nT9Kf8fj8LFizQQ1xzMatk4uvIskxXVxfxeJwFCxbMy1RFSZJob29HFEVaWlrm1JgoikJXV5euBWY2mwu2EUw04uk0ehopt5eztnYtde46zCYz5Y5ybCYbMSlGQkmQUBIcXX80ZtHMzsGd7PHvQVbkGa0lLsUZi49N+15VVWU4OnzQmN1sWFC6AAGBuBxPFTlEB1ld/Wb58XBsGFmVdbViBYVgPMi2oW3sG93HD577AS/1vYTH46Guro5/9/+bLSNbcJqdKJJCd6Cb3cO7kVQJFZVyezkl1hJMgomj648mrsRp9DTy23f+lmpnfuak5EIxhpM0tLVp4bGqqiqam5tpbGzEZrMRCATo6Oigu7ub0dFREoncP/+ZYoS8ckALcWlfkvQTN1cGRQt5adL32Y7HzfU1ctHEyte8+VzQSqInSv8XwqBon7NWPTYyMoLVah0nFLigdAHbB7ZT7axGUVOTF6879Tpue+02OvwdbGzZyFc3fJXPP/R5BiODqKrK+vr1fP3Yr2MxZT9F8J699/DHHX9EURUWly/ma8d8jXL7waMPuoPdfPSuj9I21oYoiFx9/NVcuPLCrF9nWdUyPnvEZ/n1K79GUiRWVq/k00d8Wv97taMau9lONBnFbrYTSoSA1NRGl8WFgMB9b9zHhsYNKKrC873P01ySmujotrtRTAoV1gqe6HoCt8mNTbQRToSpcdbwu7N/l/U6C0WxG5RMm7PJZMLj8eDxeHS9PG0OvCRJ45orC3XjN1XIqxhCchOZt5CXFqOvr6/POBRmLj2UUCjEyMhIwXTBsilNns/O+4m9LRqFTPhr3pDJZGLBggXIsjxOJ+tjCz/Gd/3fZSAygKIqnLnoTC5YdgEfWv4hOjs7aWho4AfP/YDh6DD17npUVeW5nud4vONxTl94elZr2DW8i1u23UKdqw6LaGGffx+/2vqrcd3yGv99/3/zxugbOM1OZFXm2099m1U1q1hVtSrr93zGojM4dcGpJOREqoM+bYO1mW389qzfcsl9lxCX4kBKzdhlSX03ZFXWK7MEBFwWF3EpjsOSSiZbRAtfOuZLVO+o5oF9D5BUk4iiyBWrr6C9vV0vnXU4HNy17y4e3J+a+/LJtZ9kUdmirN/DbChmgzLd2gTh4Dnw2mAxvz8VztSMSz7DY1OVDRseygESiQQjIyNTluHOhUFRFIWxsTGSySSLFi0qmMWfKimfaeb6XKGqKsPDwwQCgYNUkqFwG4AsywQCAWpqaigvLyeRSBCQAvxt798YCA9wdP3RnNxwMtdvvJ69w3txWpwsrlpMMpEc16jWGezUtb0EQcAiWugJZa8a0BHoANDDTDXOGl4ffv2gx6mqyo7BHTjNTgRBwCyYictxdgzuGGdQJEXivn33sXNoJ/Xuet53+Pt0bTENs2geV7LbFexiODpMnauO9fXree5jz9Eb6iUux/nu09+lJ9SDiIiMzPsOf5/+Xj9zxGe47oXrCAfDjERHOKz8MBaULOD6U6/n0aZHiapRjmw+Uje2mi7Wb7f8llt8t2Az21BQeKrrKW57721Z99fMlGL2UGbSh5JuQAD9hmhsbIz+/v5xHvfE71U+1mZ4KGlYrdZp50cU2qBogn42mw273V7QD2eyO31tDSUlJQfNXC80mhaYIAgsWLAgoyErhIeizSJ3OBxUVFSgqirBRJD/eeB/6A33YjVZeazjMfpX9XPxmotprm/WZc4170VRFMLhMMsql/FQ20M4zA5kVSapJFlSnlmOJBMV9gpUVBRVQRRERuOjNJU0HfQ4QRCodlbjj/qxmW16QUCdq07/O8BvXvkND7Y9SImlhC19W9g2sI1rN12LzZzZ49TCbZps/ueP/DzHNh3LwrKFAPzgpB/wUNtDyIrMppZNHF5xuP7cE5pPYCg6xFce/QqSIhEcCPK+f76Pf537L9ZUrcFut4+byaNtfvf13UepoxSraEWWZYbCQ9y57U4uXHUhLperoKGbYjUoMPubp0zhsXA4zMDAgB4e0zzEXM6x4aFkwUzFIfOFFuKpr0/dvQWDwYK8jkamkFemYVxzhZa70iRkJiPfBkUrzaytrSUcfrN09eW+l+kP9+sbdFJJ8tfX/sonVn8i5RFMkDnv6OggFovxjop3sK9/H3tG92Aymbhg2QUc23hs1us5ou4ITm09lcc6HsMkmHBb3Hz2iM9mfOzPTv8ZH7/n48iqjKzKvGPhOzi59eSUwDepKq1H2x+lxdOCKIhUUEFHoIN9o/syNkMOhAf4044/UeusxWKyEJWi3LT1JtbWrtU75ptLmvnE6k9Muv4/7fgTVtGq53z6wn3c/vrtnN98/rQDzkwmEyaTCbNkxul0kkwm9UF1hahsKnaDkk/Sw2Pl5eV6jlYTt8wlPGbkUPJEIQyKlgQOh8N6iCcSiRS8pDE95JVelpwpzDQTcmmc1AzZZLmrieTj3Ghl0IlEggULFpBIJAiFQm/+/YCXoFfbMLkh0zbDiooKampquK7lOnr8PSRjScyKmYGBAV1mY7o7OFEQ+ewRn+Wsw84iJsVoLmmeVB7/mMZjePTDj7J9MCUJv75ufepG4YC4ZKZzP1VZ81h8LBWmO1BA4DA7GImNEEqGxkmwTMVobBSz6c2vsIqKPzZ1mfcnVn2CHz7/Q+JyHEmRKLOVceaSM6l0V+qNfxNDN9r5nM21Wqxlw3OBKIrjwmOSJGV9jqcKeRkeShrT3f1mq7GVLZIk0d3djc1mGydfMhe5Gu29KopCd3c3oihOGmaazfGnMygjIyOMjo5mbcjy4aFopdgOh4Pm5uZxFV6Qkmy/Zdst+Pw+do3sYkHJAqxmKxcsu2DK2RkaFouF1ppW/Zj9o/3cuu1WegI9eEu9vHPJOyn1lE4qEigIQtZJ6Xp3PS6Li5f7X+aR9kdYXb2aKkcVAHazndMWnMb9b9yPx+ohkoywsGwhh5UdlvFYNa4arCYrgXiAElsJw9FhKuwVlNnKsloLwFmLzuK3r/4Wk2BCVmTMgpmTW04+6BzFpTi/efU3PNn5JB6rh4tXX4xvxIfD7ODTaz89Ts9sYugmkUjoYcrZDL16O3ko02E2m8cpU088x+nNlVOFvAwPJQfyefFNVY6bb8OVCVEUSSQS7N+/n/Ly8ryrAEy38WuS+6qq5mTIZmtQtPk1VVVV46Tu0z/byx+9nF3Du1heuZzuYDd94T4uO/oyPrPuM1MeO9O64nKcH2z5AV2BLlwWF6/3vE5ACHBey3kkEolZd0H7Y36u2nwVA5HUeG2nxclVG6/CfOBrdPGai2nyNPHa8GvUu+o55/BzJs2flNpKufyYy7n+hevpCnZR7azmqxu+mlPJ8xeP+iJxOc6/9/wbl8XFV47+ChubNjIwMMAe/x7+9vzf8Mf9xJIxukJd1Dpr8cf8/HnHnzGbzFhECx2BDn548g9pKWk56PiC8OZMeC10k2nolZZ4ni50YxiUg8l0jrXmypGRERKJBKOjo/rgNu0cKoqSs67g5s2bueaaa1AUhfPPP59PfepT4/5+7bXX8oc//OGVAz86gRqfz1eW0/uZZsMomJ+aSCSm3az27t3L4sWLZ/waqqri9/vx+/00NTVlLMfVYsfTFQnMhp6eHgKBAC0tLQXRJmtra6OpqSnjBaYl/ktLS2ckuT/Tz0DLU2WaXxOLxVKzbZoaWfebdVTYKxAFEVmR2e3fjcfqobW0lf+38f9xTOMxBx1buzmY6GVtG9jGd5/+Lk2eVGJdVmR6w7385T1/wSK+2QUdiUQQBEHfDLOdAPj3XX/n77v+TnNJM5DKg6yqXsUFjRfQ3Nyc8zmClMZXOBnWh37lg+1t27l6y9VYTBYcZgePdjxKo7sRb6WXcCLMU11PsahsEU0lTQxHhqn31PPHd/0x59fREs+RSIRkMjll4lnTz6qpqcnLe8wXWk6ukN//2dDW1kZFRQWRSIRYLMb27duJRCK0tLRw6qmnZn1jJMsyZ5xxBrfeeiu1tbWcd955XH/99Zm+2wKA1+v9PLDO5/NNnsTLQNGGvGaLVsUETFmOW8iQV3rOpqKiomBCl9Ppkc1l4j89RzRZWbgebhREKp2VRBIRXBYX7YF2AvEAVpOV/aP7+cwDn+H/3vd/LC5fnPH5kx03HVmR+fUrv+bF3hdxW918YtUnOLLlyIMqx7TNULWo/J/v/3h9+HUa3A1cuOJCXYQxlAiN8yBsZhtjibEZnyvtHEyWt5kpPr+PhJzQQ1lui5uByEDKoBzQ8dKmQVY4KmgfaycmxTJOiJyKiaq+Wl9GeuJZu7MuVg+lWNelIQjCuPCYIAjcf//93H///dx8882sX7+e4447jo0bN04Zxt62bRutra36jc/ZZ5/NI488MtXN4oeAb+W63qINeWnM5ANPHxU8XXipUCEvLXdgs9morq4mmUzm/TU0MhlnrVEyX3pk2ZBLaE1b7/c2fY9LH7gUf9zPUHQIQRAIJ8IgpI73eMfjBxmUyVhSvoTmkmY6Ah04zU6CiSDl9nKe7nyaBk8DMSnG9S9ezzWbrmFB6YKD5sOHQiF+8vRP8I35qHHX8GroVToCHVy76VqcFidH1B3BfW/cRygRwiSa8Mf8vG/J+6Z8j4+0PcITnU9gN9s5z3se3kpvxvOQz03NarKipgUXFpYs5LWR1+gJ9hBKhrCZbPpclFAyRKmtlN5QLzaTjXr3zOYOTezL0BLPfr+feDyOyWRCFEUkSZr1yN58UuwGJR1BEGhtbeXiiy/m1FNPZdmyZbz00ks8/fTTNDY2ThlJ6O/vp67uzVxZbW0t27Zty/hYr9fbCiwEHs11jcXzyWZAq47K5QPXRCazHRVcCE9p4pjcQCBQ0DxN+nvQtNHmulFSkiQ6OzvxeDzT9tSkJ+aPbTqW28+5ndeHX+cz938mJWBoTikKR5QIOwZ3ZDxGps/MbrZz9fFXc+eeO+kP97OyaiX/9P0zpQcmmnFb3YzERtjn38eC0gXj1uNwOJBMEl3JLhZXL0aSJCxY6Bru4uU3XmZNwxpWVK7g0vWXcsfrd5CQE3xkxUc4bcFp9PX2HbQWgIf2P8St22+l0lFJUkny/We/z7dP+Datpa2oqspPXvwJv3nlNygofHDZB7nquKv0SYuzYXXFalpLWmkPtGMWzJhMJq7ddC12sx2H2cGekT38Y/c/MCVMqa57q4uP3f0xVFXl9AWn8/+O+3+zXsfExLPf7x83snfiTJL5olj7OaZC2xPtdjvHH388xx9/fL5f4oPA330+X87iePMa8poOLRyVzQc+U4XefF/MY2NjDA4OjpNxmal8fbZoBkXb1N1ud8EmXGZCM6DZSv1HkhGue+U6Xnr0JZwWJ58/4vOcediZbGzcyMPtDxOTYggIuC1u6l0HS8dP9b5KbCV8dOVH9Z8f7XiUsdhY6q5dVVFRdTmTiVjEVMhAFVRsNhtWqxW7bKeytJJ4PI7f76dFaOFbR35Lz71MdaPwWMdjVDur9TG9nYFOXhl4hdbSVm5//XZ+ufWXWEUrIiJ/3flXap21fPbIzH0wuWA32/ne8d/j+f7nCSQCrKpexbKqZfrfz1h0BmcvPpvR+Ci3v347mzs2U+2sRkXl/v33c0TdEVkPIcsGQRCwWCw4nc5xpcnBYJCBgYG8dZXPhGL2UKZS18jVCNbW1tLX9+aNT39/P7W1tZM9/IPA/+T0Agcoeg8lmzv7ZDJJV1cXbreblpaWeblApjJohc4XiaKoi1vmY35LLmgeYS4aZDe+dCNP9j5JpaeSvSN7ufjei1Ob3GFn0xnsBBUsJgtm0cxxTcexY3AH/eF+al21rKhakdP6PrH6E3z/2e/TFexCURVWVK3giLojMj7WbrbzvsPfxx277sBispCUk2xo2IC31qsnzLXcy8jICPF4HKvVSnugneG+YSRVYiAyQL27nnW167Cb7YzGR/XjK6qCTUydo0faHkmVfh7wBARF4JH2R/JiUFRVxWlxcuZhZ076GK0b/3+f+1/cVrfe/2MSTOwe2T3rNWRak/a9nKyrPL1sVkvuF9p7KObxv5N5T7Is53xeVq1aRVtbG52dndTW1nLPPfdw3XXXHfQ4r9e7FCgHnp3Jmg95gzKfHecammfgcrkyGrRClyZrjYKtra1zJiypFRzMZM78M93P4DF72D28G1lJfTl2DOzAJJj49LpPc8++exARuWDZBXQGOvnJiz9BFEQUVeH8peezqXxTVga6O9hNMBHkaxu+hj/mx262s6ZmDRaTBUmRkBTpoET0OYefw8KyhbSNtlHtrGZD44Zx1VfpXfuKovDXbX/lTt+dDEYH2Tm6E4/Vg0k08ZEVH+G8pefxv8/9L+FkGFmRqXRUsqFxAwC17tpx70FWZD35nw+y3SQPLz+chwMP4zA7UFGRVZnDyjP3zhRiTZm6yrXkfnppstPpzLoaLxeK2UPJp3S92Wzmqquu4pJLLkGWZc4991yWLFnCDTfcwMqVKzn11FO1h34QuM3n883oDviQNSjTCRvOFVqPy1SeQaFCXukd6HV1dXNmTDSlYIvFMqPRyJWOSl4LvIakSFjF1Iz0KmcVfZE+Tmw+kfOXnk9CThBOhvnsg5+lwdOAWTQjKRL/3P1P1qxbQwVTF1v8afufuPbZa3UP4Cen/oTjm49HVVUe2v8Qf9j+B3YN78JhdvDJtZ/koys/mrpLFwTW1q5lbe3aad9HR7CDhzofotpZzVMDT2ESTUSlKCXWEv647Y+cVHUSX1n3FXzBVBPhxqaNukzK54/8PA/tf0jvbC+xlfC1DV+b8vXG4mO83PeyLn8/2STJbK61UCJER6CD9yx5D3tH99IR6EBVVU5pPYV3LX7XtM/PlWw3blEU9XJuQJeM16rx8j1RsZhzKFMN15rJmjdt2sSmTZvG/e4LX/jCuJ99Pt/VOR84jUMihzIRWZbp7u7GYrGwcOHCvNxhzOROJdtKqkKEvLR5906nk5KSkjm7y5psbkoufOWYr3DJf1Iy7YqoUGYvo9JRiT/uZzQ2yiNtj5BQEsiKnOoAP6DOaxbNiILIjpEd3NV9FyaTiWMaj+HIuiOxmqxEpShOs5OuYBfXPnetHjZLyAkue+Qynv+v52kfa+eWbbfwbPezRKUoiqpw5RNXMhQd4rKjL8u43lf7X+WprqewiBbesegdekI/EA+k+mdkGVVVdaNnNpsRRZGIGGGlfSVlSlnq84lCXEyFyWpdtdx/wf082v4oiqpwUstJuC1ubnvtNvb499DkbuL9S9+vz7EfjY3y7ae+zWBkMNUMZ7Jx5cYrx3X5D0eH6Qp2EQvFqKysnPT8dwY6uerJqxiLj6GoCsc3Hc/Vx1+NzWzTRxTnm5l6AhaL5aBqvHA4PE4yfmLT31ysay6YSserWI3gIeehTKygyufrZHvHo5XHKoqSVSVVvkNe2jnQOv8HBgbmRCtJ62uZODclV1bXrObGjTdyW/dtPNf9HB6rh+HYMB9Y+gGe732eUmspVZYqBsKpmfL94X4qHZUMR4aJJCLctP0mHFYHr428xv8+n8oBLKtcRom1hFJbKRsbN2ISTLohspqsxKQYQ9Eh2sbaGIoMEZfjeqJeURV+88pv+NJRXzpoc3m572V+vuXneGweJEVi68BWvrHxGzR5mmhwN+ihOKclVaZsM9lIyklEQWR1w2qqPClpFq2MVsu9aH0v5yw+B5PJhKqq/PTFn/LqwKuU28vZP7af/WP7+eZx38RisrC5czND0SFaS1MNeIORQf6x6x989ZivArBjcAc/fv7HKKpCKBLinNg5fHTVRzNulr94+ReEk2HqXfUoqsITHU9wXNNxOQlr5ko+PAGtGk+r3pRlWR/XG4vFsNlsengs29LkYs6hHGo6XnCIGZRCDaHKJSQ1k87zfIa8MlWRFTrpr6oqo6OjeetrEQSBelc9N55xIy/3vUzXWBeN7kZqnDXcu+9eXRyxxlXDKS2nMBQdoj3QjkW0IAoiSTnJ7sHUuFuLaGEsNsZLvS+xomoFvaFefCM+YlIMeNOYWEWrnuyXVVnXgFBUBZNo0kUeJ/JI2yOU2kv1UFVXsIsXe16kydtElbOKS4+8lJ88+xOOqD2Cl/tfRiXlqdxw2g16xz68WUa7K7SL/7T/h3gyzsaajRxRegSiKJI0J3ml7xVaSlsQRZESWwmdgU66gl0sLFtIJBkZN0fFZrIRkSL65/Ozl36Gy+rCY/Uwxhj3vXEfxzUflzEf0h3sptSauhkTBRFBEBiKDM3qM52OQlyfJpNpXGlyPB4nEonopcnpyf3JvqfF7KEcajpecIiEvNI9ggULFuT9ZGZbTZarUq9GPjwUVVUZGBggFovNeRVZX18fyWRy1n0tiqrQG+pFVVT97uvI+iNZ4FmAJEsoqoKiKqmwkWgmkoxQ567ji0d/kUA8wB2v38HW/q34I36SSjIliqjKupcgqzIN7gaGokMc13gcT3c/TVyOYzfZefeSd3PX3rtIKkmWVS5j1/AuYlIMURBxiA7OXXpu6rETkvQH3Qyo46/dldUr+c7671BdV43NZCOYDCIiMpYY04UfNXYM7uDmV26mylGFaBb5T+d/qKmoYUPdBvpHU7mwscAYFosFi9mCoiq6EVlXu467991NIB7ALJoZjg7zniXvASAhJwglQzTZUwbMJKSaCMfimbv4l1Ut44WeF6h31evFCTuHdrJ/bD9ratZwYvOJh1zyW+vLsNvtVFRUoCiKXpo8ODiI2WwepzuWvq5ivds3Ql55RiuHbWtrm7EWVTZMt+HPtgBgth6K1nVvt9vntIpMlmUSiQQej2ecUvBMiCajXPXEVWzt2woCeJ1ermu9jhd7X+TlnpdTA6vcdayrXcfWga2IiJhEE+9Y+A5kRdY7v4+oO4Kd/TsREEgqSawmayqPoco4LU7iUhxZkekKdnF0w9GoqopVtNJa0kqls1L3RG56x038fdffCSaDNHmacFvc/ODZH3Bc43GctvA0/b2esfAMfvriT0kqSX3zbfI0jZMqEQVR96qGIkPc9PJNxKU4giBw4YoLdT2yrf1bcZgdel9Kmb2M53qeo9pZTVSJctJhJ/FU11NYJSuhcIjlJctRRhVGpBFaXa18aNmH+M7T3yEYD3JC8wmc0HwCkJKAWVi6kK5gF3XuOiLJCKJJnHQK46fXfRp/1M9u/24URSEux7lv3314bB7u2XsPWxZuwW6xYzVZeeeid9LgaZjx564x156AKIq43W7cbnfGgVdacl+W5aL2UCYLeRWT2kA6xbmqA8TjcUZHRwsmqqgx3Yje7u5uffb5TO8MZmpQ4vE4nZ2dU+aMCuGhaK9rNpupqqqa9Zfurzv/yku9L+mb3MuDL/Orrb/SJx8KCPSH+im3l/OBpR8gJsUYCA9w1967kBSJlpIWqp3VDEYHeUfzO3DZXGwf2o7H6iEmx7CJNiKJCLJZ1kNj3govIiIPtj3IypqVVDorEQURi2hhdc1q3ud9H092Pslde+7i6a6nUdSU1EtMjvHuJe9GVmSqHFVctOoidg3vYufgTixWCw+88QBPdz3NB5d/kCp7lf4eJUXi5q03YxEtVHmqiEkx/rjjjyypWEKloxK3xU1CSuiPjyVjbOvfxt6RvZhEE1bRyjmHn0NMitHgbmBj40ae736ebbu3oSQVbtl1C2EpjNVk5YnOJ/h/m/8fH1r+Ib1r/487/0jHWAeqrPLlDV+m1pW5ca3cXs4PT/4hw9FhrnziSu7ccydm0YzL4mJR6SKue/E6vBVeFFXhzt138qszfzVrozKfoaVMpclacj8YDOoRilyEQucCI+SVA9NJXQ8MDBAMBikpKSmoMYHJQ16aJthsKppg5t34WtNger5ksuPn00MJBoP09/fT1NSkx6NzJZwIc8drd9AeaGd1zWpeH3odt9VNUkkSSUZQVIXt/ds5su5IRFIhK4/VQ0+gh+MajiOWjPF/vv+jK9iFVbQyFhtjbc1a1tWsY6+8l/VN6+kMd7JvdB/eSi9H1h3JU51PEZWiPNn5JKW2UtrG2nBZXLgsLvpD/SwuX0xCThBMBBmMDCIKIntG9rBtcBultlJEQSQRSfDLrb9kWdUyHmt7jBd6X6Ar2KXrX21q3cT+0f081PYQD+x/gPcteR8nl6dmkISTYcLJsJ470TyYJ9qfYDg2DKS8ibaxNgQEYlIMk2CitTRVeu2P+dk9spuvH/t1AO7acxf/2fMfPDYPe0b2MBgfpNZZCyok5SR/2fEXekd7sVlt2Mw2vnz0l2nwNDDYO0hTbRPhZJjeUC9ui1sXiowkI7w29Bp2s52OQAdPdj6JSTBhES2EEiG2D25HEARqXbUICPSGerl73918au2nJn7EOVMsG3X6wCuTyYQgCIiieJBQaL5Kk2fKZIbDCHnlgFYO63A4qK+vZ2xsdmqu2ZBpQ9Y21Ww1wfJJetPgZIq96Wiie/l43eHhYYLBoP66M/F+knKSrzz8FXYM7sBhdvDwGw9jt9gZCA0gCiKSKjESGaEh2kAwHqTaVY1VsDIUG2Jx2WIEQeCZrmf40/Y/oZD6XBxmB6bVJr52zNeopZZ7uu/BYrGwtnYtA5EBOgIdfPbIz6a0zMK9PNv1LDXOGnqCKcXpBaULaB9rZ8fADkZiI/QEe6jz1NEV6GIwPIisygxFhhiJjaCqKp+49xNYBStWk5VGdyP7x/YzGBnEbXWzx78Hp9nJYGSQn2/5ObdZb2PtvrX0h/vZNbyLXk8va+vWIisy/eF+7n3jXmpdtakwmcnOWYvOwmlxEpNi3LX3Ln2jdVvcjERHgFS+6YH9D9BU0oRFtDDqHEVRFCRVwmayEVNiKCi0lrYiSRLDkWF+9+LvuHLjlQgIdAQ6+MlLPyEqRZEVmXctfhcbGjZw0T0XMRIdQVEVSmwlmIXUXBRJkRAFkUgyQnNJsz5tUhRE4lI8L9dWsRiUdFRVxWq14na7pyxNzmZcb76ZLLRVzHmfojIoWlmq1iQYi8UKPvwKDh7Rm8tmnm/Se2yybRrMR8hLk/vXFE21C3Ymx/YN+9g1vIs6Vx0jsRG6g92MxEYwC2aiUhSTYMJqsrKldwurKlfRE+whnAzjtDgpc5TRFmrjDt8dKKS8FhWVYDzIy70vI8syI7GR1ETEkpR8SKO7kf2j+0nKSSJShCpHFSurV+Ib8aUaB1XYObgTQRDoCHZQai2lM9BJR6CDnmAPgUSA/kg/Kio2kw2HxcF+/34QwGl2EpWixJIxeiO9+GN+LCYLCTmhd9q/Pvo6b4TeoMZVg9PixDfioyPYgcfqwSJa8FZ6iUkxBiODBBIBNjRuwGJKVacl5ASRZASH2UFPqIdjGsbPf9E29paSFuwWO6FEiKQpSUyOsahske65mm1m4sk48XjqvxtfvZE48VRHvqhy1967+IfvH/SHU2FFVVXpDnajqiotJS0MRYcIJoO0lLQwFh/j2e5ncVvdVDmqOKX1lFldW1C8BmViniJTaXL6uF6bzab3vhR6b5iqsdEIeU0g/UNMn6GRXpY6F+N5018nXXJ+Jh3gs0ULsVVWVlJWVpb182ZrUCRJoqOjI2PhQ67nQFVVkkpKqr8/0s9gZFDXs7Jb7MSVOAIClY5Kosko9+y9h3Naz+GpgacYiY/wj13/4OTWk+kIdOhNiYIgIIgpVdyuQBfxRDxVDSZJIMBofJRoMsoDbzzA3Xvv5tnuZ6lx1ejlwgklwWvDrxGVophFM60lrXQEOtgxuINSeymVjkp6w71Icuru326yEzOlPACTYKI3nFJvrnPWkVASDEQGsJlslNpKUz0niKioqKpKk7uJQDyARbCwsHQhW/q2cPfuu6l2VeO2uekN9nLd89dxXNNxmEUzZsHMcGQYBDii9gjOPuxsHmt/jJHoCEvKl7B9cDultlKiUpQPeD+ASTTREexgSfkSOsY6CCVScvS94V7OWnQWVVVVhMIhgkKQOnsdsVgstSlGI+wa24WiKiTlJBaTBZvJRqWjknAyjMfmobmkmYScIKkkCSfDjMZH2dCwgRXVuemnTXZdFKNBmW5dmUYih8Nh+vr69JHILpcLu92ed6/BMCgzQJZlenp6Mia9RTHVhVxoBEEgHo8zNDSU14bJXJhqwuF0zMagaNIxk2mh5XLsHQM7eOCNB4gkI6io9AR79Gosl8WVqrBSQVIlhqJDSIpERI7wUN9DlNnKcEgO4vE4z7U/RzAW1Etk3VY3JkyYBBO/eO4XNJU1cXj14bw2+Bpb+7bSE+4hmAimqr5EK3aLnf1j+/US34VlC7GIFnpCPVhNVnaP7CaQSHW5uywumkuaU137qkKtu5bh6DBOi1MvSw7EApTZylhSuYQVVSt4qO0h2kbbiEpRrCZrqrpMiad6ZNRk6veiFX/MT5OniZf7X0YRFF0GxipacVgcqWIEQeCImiOocFYgKzK/3PpLhqPDOMwOgokgK6tWYjfbqXJWsbRyKX/Y/geqHFUMR4dp8jQRlaKMxcc4fcHpnHP4OUSTUQKJAIvLF9Md7KbWXUswEWR3/27iUpyR+Aj+qB+X1UUgEaDR08iamjV8aPmHGEuM8Z2nvkOTp4n+SD8JKcHTXU8Tl+KTjjLOlrlovJ0JuRg6QXhzXG96aXIoFBpXmqzpjuVjbUZSPgemS3oXWvZdQxuu1NraOmXye7Zkungz5S1yZaYGZWxsjKGhoWkbRbMVYvy379/UumupclaxoWED0WSUvlAfAgIJOYGqpMQHRUQEUrpZiqowEBkgIkcot5fjdrjZNbSLGkcNLrOLgegA0WSUFk8Luwd3Y7VY2RPZw1plLZs7NtMf6kdB0TXBJEWixF6C2+ImKkURBIEKewWvDb1GUkmmQpqRQSLJCNXOaspsZYiIeGweymxlej7NarJyZO2RVDur2TqwlSpHFUfUHoHZZGZN9RrqnKlwXjwZp1fqxWlyoqgKPcEe7GY7TquTCkdKb6x0tBSbaKOlpIVaVy09wR5Go6MMRYYYjgyzf3Q/SyqWMBYbY2v/Vk5feDpltjIqHBV0hbr42IqPEUgE+NOOP2Ez26iz16GqKu1j7Xxq3adYVb0KgMfaH+Nfu/9FMBikpaoFl8XF/tH9dAY6KbeXc1LrSTzS/gj94X6GokMsL1/OUtdShoPDPL7/cY5vOR5Zkdnr34ukSAhCqnDg3H+ei9vqZnnVci5dfyll9rKcr7Vi9lBm6lmklyZDSpYoEokwODiIJEnjkvszeQ2jUz4HNGHDxsbGSTfxQqv0qqpKX18fsViMsrKyghqTTMPCJpYkz/QLl6tBSW+SnK5RNNtj94X6EEVRr2xaXLGYvSN7CSaClNnL6Ax0IiMjIGC32JEVmRJbScr7EFKvH0qEDrxoqrO8rqSOFXUr2Nm3k0AswALPAkYTo7w+8jrP9z5Pia0EkdQXayw+pg/miiajVDlSZbuKqrB7eDehRIgFpQuoclShotIf7mdj00bCyTDtY+0sqVjC9zd9H5vZRiAW4MH9D7JzOJV3+fbx3+bl/pfZN7oPVFhQtoArN17JruFd+IZ9iFGRmuqaVEWV1U00GeWPO//ISCyV/F5bs5ah6BAN7gaGo8Psk/fx+vDr2M12+sJ9lFpTcjE20YZJMPH60OuU2EpIyAm6gl2pxLHJytNdT7O8ajnl9nL9WnnojYf4+66/E0lG6Ap2saJqBeaEmYHIAE6zk1cHXyWUCKWkVtz1nLXwLF4beo22sTZOWXRKKm+UsLFzcCdllJGUkrqEjEqqh+fFvhepclTxcv/LvDb0Gn9971/HKTBne80Vq0HJ17q00uT0kcjaqANBEPTGymxLk42y4RzQkr9TbVaFvADTh1FVVVURi8UK9lpw8MasiSxmM6Y412NPhaYUbLVas5odk+1n4LK4kGSJnYM76Qx0YhJM+gbqtroRETGbzAxGBlOPVSQaPA1EkhGWVi7l1YFX8Vg9WE2pUEEwEcRutjMQHKAn3IPNYqMz1kkgFiAhJ1Jd9SaFJEm9sVDLDYSSIapcVZzQfALr69fzfM/zbOvfxvKq5ZTZywgnwiyvXE5LaUuqAbLuaM7xnqMLMZbaSvn4mo+zfWA7MTmGt9LLurp19IZ6UVSFBncDFpOF453Hc0z9MfT19dHU1DTufJhFM493PE65o5xSWylltjIaPY36v9sD7TjMDhrcDXQEOhiMDFLnqsNmtrFzaCeN7kZCyRCBeAC7yU5jSSOLyxfzSv8rxKU4o/FRhqPDhJNhVlWvYigypBvOQCSAYBZ4ffh1SqwlKVl6ReaB/Q/gtrpJyAnKbGXElTg20UZnqJOXBl7i5aGXUxVdKngsHlRFZTA+iKIqhJNhFFXhyc4nebH3RTY0bMjqupjJtTSXFErLK706DA6eo2O32/X8y2TGYapOecOgZKDQkiGTMbGaLBQKFXwd6QKUWr5ktiKLGtmex5koBWd77CUVS+gP9/Pw/oexmqzIqsyKqhW4LK5U8tlkJqkkOa7pOMbiY7w+9Dr+qJ/jm4+n2lGNw+ygtaSVJRVL2DW8i4fbHmYkPEJvpBdJkVAllUA8kIpjm1N38mazGRs2IskIYTnMyoqVtJS2cGzLsaxvWM/C0oW4rC6OazmOHz77QxJyAn/Mz1hijI8s/QhH1R8FoPciaEiKxKfu+xTPdD+DSTDhsrq4/b2360OpsuHClRdydMPRqaoqRznLK5ezfXA7HYEO7BY7G5s24rF68Mf87B/bz1h8DI/VQ7WjGotgSSXxLW72+vfSEeygsaSRtTVr2TG4g93+3ZTaShEQCCfDmEQTFY4KwskwA+EBqq3V+CU/CTlBXI5jES2oqHrIr85ZR0gK8VjbY1Q5q9jn34dFsOCypuSExuJjDEQHKLOVkVRSRQfa/+JqnO899T3KHeUsKlvE5478HFXOqmnORnF7KHMRPkqfo6PpjoXDYXp6elID0dKS+9p5MkJehwAjIyOpUa5zXE2mhe+Gh4cZGxvL6wyXbEKDmg5ZrkYsW4OiqAr7R/frc0RsJhuDkUE+uPyD3PfGfSTkBGtr13Jc83FIisTC0oXs9e/l77v+TlyO01LSwkh0hH/v+TfhRJjVpauRkpI+sCoqRZFVGbNgxm6201zSTNtYG+X2cpbXLOe8peextmItNtmGmlARIyIxMYbZbabCXsGXjv4Sj7Y9SlSKcmTdkaypWYOqqsiyrJ87TYbjH7v/wVNdT+Ewp0QF/VE/Vzx+Bbefc3tO581b6cVb6QXg+heu51ev/AoRkYSSYG3NWo5vOp6EkmBj40bqPfVYRAvvWfIefCM+WkpaSCpJesO9BBNBYlKMzmAnTZ4m3nnYOzGJJjZ3bqY70E1UilLjrMFpdqaKCBIBRJOISTDp4peqqiIKIqtqVmE1Wekc6yQshVntWp0S00zGiCtxzKIZFVVvuIzK0VTFV2IUQU1tbruHd1PrqGXnwE5e7XuVv7znLzhtU19TxWxQ5npd6bpj6SORtdJkq9WKy+XKuDbtWi3GcwmHiEHJx4euCUyqqnqQyOFclSf39fVhNptnJeGSiek2/ZGREUZHR2dsxLI1KCoqLqsrlXA/kHRfXr2cD634ED989oc8vP9hOgOpTbEr2MXOoZQmFyrsH93PUHSIVVWr6B7r5qHwQ5TaSjGLZiwmCwvLFtIV6MIkmlhSvoTh6DBratZw4aoLOb75+INkRpLJpF59k0gkcDqdvHfBew9KkGqhA61sXFFShlGSJQRzam1ad/tkTHdtdgQ6+NXWX2E1WTGJJkyKiVcHXuVc77lUO6s5su5IPYE/Fh+jO9RNZ7CTF3teZOfQTlxWF03uJtbXr8dhelM5d0XVCr2XxiJaOKrhKGxmG46kA9EpMhIbIZAIkJRTZdxOsxOrmMozjcRGaHA3sLx6Oe2Bdl7uexmLyaK/nxJrCVXOKlaLq3m259nULBpRJCpFicpRemO9AGzp38JftvyFM5vPnHI2SbFWeRWDfH2m0uRIJEIymaS9vV0PnTkcDt07yXX/2Lx5M9dccw2KonD++efzqU8drHxw77338qUvfek1Ulrcr/p8vg/n+l7mPeQ1HZmS2bmSSCTo6uqaVGCy0Ml/bepcWVkZtbW1eb+AJ6uG04oOJEmasRGbzFgpqsJTnU/xYs+LWEQLTrOTQDzArqFdNJc00xPqISkn+cWWX3Ba62nsHNpJS2kLMTnGlr4thJNh4lIck2jSz384EWbv8F4cFgcek4dAPECFo4JSWykJOUGFo4LVNatZVbOK5pJmTmg+4SB1YA2LxUJ5efm4sbKhUIiBgQEsFotenaMZ2PQv6Zq6NZhNZhRV0SVSNtRv0D2YXM/jUGQIs8mslw2bRTNWk5WjG45mcfnicY8ttZXy8dUf5/LHLufVwVdxmp0k5SSPdTzGZ4/8LNXOap7tfhab2UZcivPfa/8bb6UXi2ihwd3AHbvu4LWu13CoDo6qPwqnJfX8QDxAR7AjleRHxWKysKE+lQfZ1LIJ37CPpJxEURUWli5kMDLIjsEdSEpqRIA2NlkUREYTo9hkGwICFpOFRwYe4aKjLyIaieL3+4nH4/psEi1HUKweChTX3X56aXIgEKC5uVlP7t90003s3buX1atXU1ZWlnUhjyzLfOc73+HWW2+ltraW8847j1NOOYXFi9+89tra2vj1r38NcJzP5/N7vd4ZzaMueg9F8x5mekev5SumkpwvZHmylq9xOBwFm6yYadOXZVmfc19XV5f3CrLnu5/nkf2P0OhpZPvAdu7eczdNJU24rC62DWzDZXXR6Glka/9Wnux4ko3NG2nyNDEQHtC9ElEQkWQJWZWRVAlVUZGQqHfVIwgC9Z56xmJj1LvqCSVDXLD8Aj6w7AO6Wm+2TBwrm0gkCIVC9PamGhZdLhdut1ufm3H24rN5uf9l/rDtDwiCwNLKpXx/0/dTw7gOeDKQurPM5kZkUdkiTIKJmBTDZrIRlaKU2krHzUtJp9xentIXs5bqXsNYfIzH2h/jM0d8hoVlqQ2/xlmDt9I7ruLqk2s+ySvOV1jQsgCraOW5nucYi4+xtHIplfZKnu1+FgQYiY7w6uCruv7YSS0nYbfaqXZU0xXs4tX+V2nyNCGrMpFkhKgUpdxezlA0NTdFGzGgqioj0RH6I/3UuGrGzSZJzxFIkqQbmmLawIud9Gv3a1/7Gnv37uXhhx/mxz/+MZ2dnaxbt46vfvWrGXvINLZt20ZrayvNzc0AnH322TzyyCPjDModd9zBRz7yEc4//3w/gM/nG5jJeg8JgyLLcs79GblIzhcq5KWFmlpaWhgeHi6YFzRx09eUgrWJjrM9tkZMihFMBPFYPbw29BrVzmqsJis7B3YiKVJK68rixiyacZgdVDlSydqt4a1s6dlCuCqcqjhSZRaWLmTn8E5icqq6zmlypprnhNQ8j3p3PWtq17B/dD8XrriQwyoOm1SOPVesVisVFRV6c1o4HGZsbIy+vj5sNhtut5srj7mSS9dfqs9k0TZtbT6PZlgkSdL/PZn3UmYv45Z33sJnHvgMI7ER6lx1/Oas30zqXUEqPBWMB7HwZhjKYXYgCiLLq5ZP+jyTaKLKXkWlIzUC+PSFp4/7+/uXvh9IGYQH9z/I9sHtVDuqufTISxmODeMb9lHlqMJhdrC4fDGqqvL68OuoqEiKhAkTMqmxzFX2KqJSlN3+3Zz/7/MRBIEvHvlFPrD8AwflCNrb2w+arDhVhdPbnck8uoaGBs466yxWrlxJMplk586d0zZR9vf3U1dXp/9cW1vLtm3bxj2mra0NAK/X+zRgAq72+Xz357ruQybklQuaHla2+Yp8h7wURdGlGbTXL6QXlG5Q0pWC89FXox1778hebtt5mz6DxG1xE5fjmDGzx7+HkdhIqszVHCCajCIi0h/ux0QqMRyTY+wY3IE/5sckmCixlXB42eEpkUZXHce2HIsoiPQEe7CZU5IggXiALxz1hbxIf0yGKIrj4tfxeJxQKER3d0rnyuVyETfH9eqb9NBYLBZjcHCQysrKcd7LxMcBrK9fzwv/9QIxKabPTpmKy4+5nC8+8kXG4mMIpNR/33v4e/P2vs2imXce9k7eedg79d81eBpYVb2KjkAHP3ruR4STYewmO2W2MqyilRJ7CRbRgj/ux2P1IAgCESmCy+IiEA8gqzJXbr4Sl9XF2YvP1o9rMpkwmUzU1dUd5L0As54L/1Ykmwovi8XC2rVr8/J6mtEHTgKagM1er3eVz+cbzeU4h4SHkstmPxPJ+XyWL2v9LR6Ph8rKSv2iKHSJtKIoDA0NzarjPp2EnKAz0MlwYJgaVw1/9v2ZElsJHpuHfSP7eOiNhwCIS3GiyZRGliiIBOIBICWv0jHWgaRIVDurObHlRLb0bcEiWlhZvZJIMsLuod0cVn4YZyw+A1EQ6Qh08NHVH+XwisMJJoLUOGuocc0olDsj0qtvqqqqkGWZUCg0rnfA7XanjEw8rpd+a4Y7PbEvy7IeGhNFUTcy2RgTgDMWncGfHH/i0fZH8Vg9fGDZB3Svo9C0lLRwyZpL+D/f/zEaH+Xdi9/Nbv9u/DE/ZsGMWTTTVNJEKBEilAzhMDtwWVLhxGAiyN9e+xvvPOydGTfEySqcDO9lPFM1NeYa/q+traWvr0//ub+/n9ra2oMes2bNGm666aYksN/r9e4GlgAv5vJah4RByVbPS5sfkqseVr7uiqbSxSpkJZk2kS6RSMy4437/6H6GIkOU2ctodDdyy6u30BnsJBAKsG9sH6PJUSodlRxWfhjPdj1LVIpyRO0RPNn5JJKaKu+VFZkkSVRRxSJaiEipuSd2sx3fiA+ryUqZvYwqRxUem4c6Rx0tFS10h7pBTY2mPbH5xFnrRuULk8k0rncgPbEfiofYl9zHLmkXx7UcR6m9dJxXoijKpGXJ2VbprK9fz/r69QV9j5OxpnYNa2rXAKnra2v/VnYO7dTzOr/f9ntKrCX0hFJqzXE5nupZEUR9umY2TKxwmph70aRLCiEdX6yVZzC54ZBlOWeDsmrVKtra2ujs7KS2tpZ77rmH6667btxjTjvtNO655x7OPfdcvF5vFXA48Eau635LhLw0KZFoNDovkvMAfr+fkZGRcf0t6RTKQ0kmk3R2diKKIg0NM5uq92THk/xz1z8xCSYkVaLEUsJwbJilVUt5cvDJ1IwOE4iI/HvXv4nLKbHAR9sfJRAPoKKmZNXlJDIyJky6FHxSSSKpqTzDcHQYM2asSSuCS8CluPj0EZ8mKSdRUal2Vucs6aGRkBPsGt6FSTCxtHKpXlGVjqRImATTjDYmrfM5FosRJcoXXv4CPcHUpuexePj9ab/nsJrD9LJk7Us/sSxZMzLav9MHPBUrgiBwRN0RHFF3BIqq8JVHv8Ly6uWpGTWCifv330+IEIIgYBbMbB/YznF/Oo4KRwVXHHMFTSVN3LHvDlxDLo5tPJYj6o6Y9HWm6s8ohPdSrCG2yUJeM/FQzGYzV111FZdccgmyLHPuueeyZMkSbrjhBlauXMmpp57KCSecwNNPP43X630NkIGv+ny+4VzXLUyzyRXUhCuKQjKZnPIxQ0NDmEymScNX6fPWa2pqZnyB7N27d1zVQ7ZopbnJZJKmpqZJP+yRkdTgpsrK/IUt0j2ivr6+rNc/EB7gxZ4XUVSFZVXL+NXLv6LOVYfFZGH7wHYea3+MMlsZ9Z56RsIjuMwurDYrfYE+do3sQiAlJa9NXrSIFhJKIqWrJZDqlFdkEEjJhngaqXBUYMXKYtdikpYkJfYSPr7m4weVzU6GoirsHNyZkmqpWqrLpECqYunC/1xI22gbKiqra1bz+3f9Xg8vjURH+J8H/ofnup/DYXHwnRO+w3nLzsvpXGs3LbIs89t9v+XWbbfisXqAVJjnrAVn8a313yIcDmcsSx73XjJ4L9pGMZMeAw1Zkdnj30NXdxebVmzSK8TySVyK8+VHv0xLSQsAD7U9xPb+7TgsDkRExhJjJJVkKgSKiNPi5PjG4ykzlVFRWoE/5ueiVReN87xGoiP0h/txW900lzRnfN107yUSieTFe9GUzrXqp2JCUzGuqRkf8h0eHtZ76QrErCzsIRHymszoxWIxurq68lLNNBPS9cCmK83N11RFDU0peDKPaDIGwgP8+LkfE5dScuv37bsPSZFoLmlmMDLIruFdlNpSYY1wIsxobBTJKrGmYg3dY93YzDbcVndqOJSSQECgwlpBRIoA0Oxppj/Sjyyk7sBDiRBdgS46A50sK1vGtedeiyAIWE3Zz+6WFZlLH7qUx9sfxySYcFqc/Ok9f2JJxRIAfvTcj9g7slff4Lf2beXXW3/NF47+AgBffvjLPN/zPCXWEiRF4sonruSw8sNYV7cuq9fXho9ZrVbq6+vp3No5zpMyi2Z6o716XHq6suTJvJepci/TEUlGuPjei9k5tBNJkli6Zym3vuvWcYY3H9jMNrwVXnb7d9PgatBHDDSXNKOoCkODQ6ioqUZXIfX5bxvaxjkt51BuL0cURJ7selI3KLtHdvPLl3+JoirIqszpC07PWHxQCO+lmHtjppKuL2ZvtnhXdoDJcg+jo6N0d3fT3NycN2OSS0gqGo3S1tZGVVUV1dXVWYks5iPkpak0j46OsmDBgpznLjzX9RwJOUFzaTONJY04zU5GoiN0jHUwFhsjJsX4/+y9d3Rc5fX9/bnTu3rvlivuBVwwrpjeO8mXjoEQCARTE1oImJZAaCGUQAgQSigGbIxtXMG49yLZsq0ujaRRmV7vve8fN3ORrGLJBZzfm70WayFPuWVmnvOcc/bZO82SxtC0ocqPHBGjYMQbVPxGUswpmLRKE1pAwKAxKL0SSZGQH58znhRzCnqtHglJmdzWmskwZ9Aaa2VR+SKMur6xeb7e/zXLKpZh1Vsx6824w27uX36/+vielj3oNXoEQZnO1wgaSptLf7zmurVYdVYEQVAH9LY0bOnVseObBqvVqmbAE3MnAkrWFP9vUu4k9TVxWnJ+fj4FBQWYzWbcbjfl5eXU1tbS1tbWYXOh0WjQ6/UYjUYMBgN6vb6D6Vs0Gu2QzXSF17e+zrbGbVh1VsxaM6Utpfxlw196e4t7vgdSrMN399oR1zI8dThOvxNJlghLYUqaSzjQegAZGQFBUZCWQZRFoqJi2BWKhRBlEb1GyZxkWebt7W/jMDrIdeSSa89lScUSqjxVhzyneO8lMzOTgoICkpKSiEaj1NXVUVVVhcvlIhgM9vibO54X555YXsczWeG/oofSvinfvsR0KOn1vqAvE/m99RFpj6NBTY7ToY1GY6+UggH8ET9f7v2Scne5Uk6QUeXiA9EAG5wbFE/yYDOJpkQsegtjMsdg1BnZ3rAdWZBpDDfS1txGmiGNYnsx29q20SK0oNFpSDAmKL7vMtw1/i5agi3cOPJGZhTN4PZFtxMMBbEYLeh1ehr8DTT4G/p83bXeWtWfA8Cit3RYdEamj2Rn405M8n/YVkiMSB+hPp5qTqUx0IhZY1b6FoK2V4ypSCRCbW0taWlpHUgW1wy/hn2t+/hg1wcAnN3/bO448Y4u36M3tGSbzdaBlgwdhybjweTgocr2i+Ge5j1qf0gQBAyCYiTWV8iyTFgMY9KZcAVc3LfiPrY1bsNhcPDo5Ec5Je8UYlKMXw77JQv3L2STcxNFCUU0+BvwRX3oBJ2abcR/T4IgsLhmMYYGA/mOfCaOmshXZV+pmW5RklK+0Wq0aATNjzYGvURvsxeLxdKhv3o8ZyhHk+X1U+K/quTVlxLT4RznUBP58ewgHA73OZgd6RxKXCm4L/bAsizzxpY32NuylyRzEmtr1mI1WAmLYZoDzWyq30RbsI0p+VNIMidR763n/IHns6FuA/uc+2gJtQDKAt7kb8IZcNISa8GIkbAUxqpTJOuLk4oZkT6C28bdph47FAoxxDaE1cHVOLQOxSpX0DAsbViX5xqTYnxS+gm7XbsZlDyIy4ZcpvYABqcMRqfRIUoiGkGDP+Ln5LyT1dfOGT+H3a7dbGvcBrIiJXLDqBvUx5+Z8QzXL7ieYCwIwNissR3mL7pCMBikvr6erKysToxBrUbL3GlzeXjyw8iy3GsqcF9oye0DRnvmWPuyWPvS2LC0YaysXoksK1bEUTmqGm/1Ftsbt3PX0rtoCjSRY8/BprdR4a4gzZxGKBbinuX3MDBpIAfcBxAQSDQmYtQaybJlUZBQQJ23jjpfnRoURFkkyZSEXqMnHAuTZEhSjcJSzClEpAhNgSYMWgM5jhz8ET9aQdtJl62v6Io5FggEVC2/+NxL/DM5HtETy+t/GcoRIL7QxyVMurOqPVIcKoOIS5mYzeZeZwcHv//hBpTeKAXH37/9ebWEWtjbspf8BKWBatPb2O3azZnFZ9LgbyAkhhRhRVuGKhjoDXu58oQr+bb8W+q99Wg0GrxhLxEpgk6jU10AM22ZRKUoUTHK/tb93DvsXqqqqrDblT5GW1sbf5j5Bx76/iHW1a1DK2i5fdztHUpDcciyzN1L72ZJ+RIEBCQk1tSu4aXTXkIQBKbmT+Xm0Tfz2pbXEARBMcOa9qT6epvBxgcXfKCKR2bbsjvch4m5E1l0xSI2OTfhMDqYmj8Vnab7r77X68XlcpGbm9tjSbGnSffe4GBactw5NG7IFG/sxw2Z4g17nU6nNvbjAeaaodewtWEra2rXIIoi43LGcfu423t9Lu6wm1sX3aqWNRv9jWz0bGR0xmhlSl9vpsJTgT/qpzixGFEW2duyF6veqgpb6rQ6ZhXNosHfgDvsZmT6SObvm68SN5r8TUSlKEWJReTYcxRJFjGGXqenyl2FRW/hplE3HdV5m/ZBPDk5uUP2EgwqGwyPx9Mpe/m5IUlSl+fzvwylB/RmURYEgUAgQDAY7HMDui841s3/w51D6a1ScPuAEpOU+rxOUD5eUVacEjfWbaS0uRRREkm3pjMhewIRKYIsy2x1bmVH0w6iYpQ1tWvon9RfKVtIMr6oDw3K/WkONhMRI6oZlCRLBKIBhhcPJ8WQQmNjI4FAAL1ejxgQ+dOUPyHrZIw6Y7eLeI23hqUVS0kwJihzDLLMyqqVVLgrKEosUiQ9TrqT60dejz/qJ8Oa0YlerBE0auDsCvkJ+T0+Hkdraysej4f8/PyfdCcoCAJmsxmz2UxaWhrRaBS/399BLdlms3VJS9br9RgkA387/W+U1pXiD/oZWTgSQRZ6LWhZ6a4kIkawG5UNQYIpATzgDXtJNCsOhKFYSNVZ0wk6kkxJ6DSKaRpAljWLJ6c9qQaE93a+x7cV36IRFCl9LVrcETcOg0O9ZpPOxNXDrmZA0gCM2mM/Kd8+e/H7/Xg8HmKxWKfs5VjMvfQF/41ujXAcZCg97dwlSaKpqQlRFBkwYMAxjczdLfjxYckjlTLpa4Yiy7LKEuqtfIwoiXy25zMWH1gMwKlFpzIlfwrLKpbhiXjUctKA5AE0Bhqx6q1ISJQ1l7GraRdDU4dyQuoJxOQYB9oOcOHAC3lv13uEY2EEBGSURSUshjnQdoATs09UH0s0JtLS3IJWq2XgwIHIsozf71cnoA8u57RHRIyokvdxaAQNETHS4XkOowOH8diw+WRZpqmpiWg0Sl5e3s++C9Tr9SQmJqp2snEaaXdqyYIg4PF4SNImccKAE5TvQx+GKpPNyYpI539EH6NilFRLKjE5RktIobznO/JVy2VZVprvc06aQ649FxmZYWnD1Il5ALPOTJolDXfYTSgSIibEyLHl4A17MWvN+EU/dqOdAkdBt9meP+pXN0H9k/qr2dDRgCzL6PV6Vdett72XnwLdZSLHs7kWHAcBpTvEJeftdjuxWOyY38SDA0p8gQkEAhQVFR3xrqAvTfn2vaKsrKxeZ3LfV3/Pgn0LKHAUAPDN/m/45bBfctPom1i4byH+iJ+RmSNBUGTSfVEfc6fNZUPtBkKxkELDFcAT8rCraRdWvZXbx92Oy+/izW1vYjVYFeFGaxZt4Taq3FUkGBP4w+Q/4HK6sFgsqtyMIAgd6tjtyzkajaZDOacgoYDipGL2tuzFpDMRioXol9ivTw6JR4K4V45eryc7O/tn3Zl2BUEQelRLtlgsRCIRNBoNubm56vn3Zagy157L7FGzeWPrG2gEDZIs8dCkh5iUO4mS5hKSTElkWjO5bfFttARbVGbbuf3P7XbeZVrBND7b+5myMZAgwZzAOf3P4cuyL9ng3MCI9BH8YfIfKHeXI8kSA5MHdghI3oiX59c/rxA5BMVm+rcn/pYsW9ZRua8Hl4i78iWJl5t/6uzlfyyvo4j2FrkmkwmPx3PMj9l+wY8PSxqNRgoKCo7Kl6e3Tfl4eS1uT3woeMNeZQcohihtKcVhcKhT4pIs8fmez7lq+FVcNOQi9rXtIypF0Wv0lLpKMelM/HPbP5maP5VcRy5OvxO9Rs/SiqXYDXZkZFbXrOaiQRcxMGUgRq1RFW6s9lRz46gbOTXvVPzNfhKSlV5AV4iXc4wmIyFjCEESQFI0hWKxGBaLhZemv8QLW19gt2s3g1MG88CkB1R/+WOJ+Gdtt9tJTj56u9++IipGWVK+hNZQK+OyxqlOj12hvVpyvLcX/+7W1taqwTq+q+5OEmZX0y7e3P4m/oif8wacx+wRs5mcO5kabw1FCUXqORQkFKjH/tf5/2JP8x5MOhNDUoZ0qUgQR7IpmROzTqSitQK9Ro8kS8zbOw+9Ro/dYKespYzfLv0teq0eAYFUcyqPT31cLZmtqVlDQ6BBPb7T7+Tr/V9zw8gbuj1mX9BTP6K9L8nPkb38r+R1FCDLMi6XC5/Pp/YM4qyVY434gh8Xl0xNTe12gTwc9Kbk1dfy2vra9by+5XUkWSIWijEmd4w6YFjprmRN7RoyrZn8Zf1fOCn7JK484Ur+XfpvXAEXVZ4qhqYMZUXlCv6+7e9k2DJoCbbgCrjwRrzkJ+Rj1pnJtGWyqnoVFw++mK/KvsKoNdLobyTTmsnMnJls2reJV8tepTHYyNC0oTw+9fEud5DusJtbv7mV3a7dyLLMmcVn8vjUxxFQemRer5dfFf0K42BFPt5mPPrEi4MRjUbVz7o3wfuYnYcY5f++/D+2NmxVF7mXZr3ErH6zenydJEnU1tbicDhITk7uEy253FPOjYtuVE3ONjiVLPWigRcxKHFQt6xHu8Hea32xvS17+aHmB8ZmjSUajrLTvZOyljLSrGnoNDqaA804/U4uGHgBoNDD/7XrX5w74Fw0ggZ32I1B8+Omwqwzq+KjcbgCLpx+J3aDvUPg6w36Qhv+qbOX/5W8DhPxhTY+Y6HX6zsIHP5U5QeNRoPf7z8sccnevn93Ja/2gbS3WmQtwRZe3/I6SaYkzHoz9dF6djbtJNuRTaW7kh9qfiDVnMpJ2Sdh0BrYVL+JM4vP5NUzX+Xx7x4n1ZRKsjmZH2p/wBV0YTfYafA3EIwFMWgNVLRVIMpK3dqsM3PrmFtJM6ex0bmRdEs6FxddTK2zlmd2P4MgCKRb0yltLmXOt3N4//z3O31uz659lh2NO0gxpyAjs2DfAsZljePiwRerO+r2C2J1dXWXTKejhZ5owT81lpQvYWvDViw6C4KgOET+buXvegwosViMBdsW0CA20D+9P9OTpndJS/b7/bS2tnbqY32972sC0QCpFsWzJhAN8H7J+1x2wmUqPTm+4PZlYr89PBGPMluCRh04jckx9ToRlP5Z/DhGrZGPSz5m3t55iLLIwOSBgNJH0QpamoPNHfxddjbt5LUtryGhnO8Z/c7ok8T/4S7OP0X28r8M5QgQzwr6MmNxNBFvIIfDYfr163dMUtjuMpT4LlOr1fZJKbgl2IKEpM5A2Aw2WmIt/Grsr2gKNtEUaGJwymC1vq0RFD9wLVp0gg5BEIhKUZqDzZh1ZkJiCAEBi86iNGWlKPta9pFiSmH2hNnotXp+MewXXDn0SlwuF6FQCJfNRUyOkWJSShRpljQq3BW0hlo7NU/jPRlBUJrvGkHDzqadXDz44g73qP2CGIvFOvnCt2c6HS7i73koWvBPhdZQq2I3/J/P3qA14A65u31+NBrlqeVP8d7+95AFZVDz/IHn8+S0Jzv1BBwOh+qiGO9jNTc309bahiRKyJLcYfMW/+63pyXH/4v3MnurN5bvyFdnUvSyHoPGgElnwhdVBhfNOjNRMUqjvxEEKHGV4A67STGnoBE0rKxaSUFCAevq1mHQGrhhxA1MyZuinJ8s8db2t0g0JWLVWxElkUXlixibNVZ1wtzXuo+PSj7CE/YwNnMsFwy8oEMZ9WgNNh6L7KWrHkr8c/hfQOkB8ah+LLKC3kCSJGpqapAkieTk5GPG5ugqoMSVghMTE/tcv0+xpKBBQzAaxKw34414MRvMpFpSybJnMb1wOhvrNpJly6LeV09ZSxkvb3iZMRljmFEwg5c2vURUihIRIxh0BtIsaUrzU4ZhacPwRry0hlr549Q/KmWvqlVo0JBNNlajldzcXHzNPkRJRJIlNIJGMdzS6Lq06B2QPIADbQcw65VpdUmWDikMqdPpOjGdvF4vjY2NGAyGTr2C3qCtrQ23201eXt4xZe6sqlrFp6WfYtabuWHkDaruWFcYlzUOrUaxCDZoDfgiPk7JO6XL54ZCIUorSnnvwHsKSUKjGJh9sfcLrh1xLYNTBnf5uoNpyVfar2Re1Txcfpe6cF017ip1Z9yV3lh3Q5XdZS8Z1gzuGX8Pf1n3F5qCTZyYdSLFScVUuaswaA1o0NAabmVTwyZAEZ606C0qk68h0MC+1n2c0e8MAtEAy6qWce6Ac8mx5yhsw1iYdIsinnjwlH2jv5G/bPgLJp0Ji87CkvIliLLIlSdcqZ7fsZjp6E32Eg8wPX3/ugp28fXjfyWvHqDRaA5Z5ulqaO9oID59npycjEajIRKJHPpFRwnxQc2evO57QpIpiZtH38zrW1+nOdiMJEvcNuo2NSO5afRN2PQ2NtRvYE/zHnLsOeg1ekVyPurhgUkPsKJqBXaDXZXo0Gq06AU9oZhiy3v3+LuxG+xc/eXVtIZaiYQjFCYV8sa5byAIitf6uQPO5auyrwBF2+v+Sfd32Uy/Z8I9lDaXUuutRZIlTs49mUuHXNrr623PdIrvAg/uFdjt9m5d/+JlxXA43IkWHIqFeGHDC/xQ8wP5jnwemPQA2fbDswIAhV33m8W/QULZ5c/fN58vLvmC4qTiLp8/KGUQL5/2Mg+seAB3yM0peafw/KznOz0vEAjgdDqxp9rRarRqQ1wjaNBpdJ36Cz1hQOoAPr74Y/6+9e/4I35Ozz+dccnjqKysRKvVYrPZsNvtKi25p6FK6J6WPCpjFC/PeBmP30NSchIvbHyBElcJUSnKKXmnsL91vxo8vznwDXW+OjLlTHXuJcWUQp2vDp2gU6b1l91DY6CRbFs26ZZ0nH4nmdZMvBEvOo1OnbI/0HaAqBQly6T083LsOayrXdcpoPyUcy99zV66CijHczCBn1m+HpRa8KEMtA4cOEBBQcFRTfXaM8ksFgsej4dgMNjJyexoIi6R39bWRnNzM3l5eUdccvFFfLjDbvZW7+W7hu+QtBJT86cyrWAagiCw1bmVud/PVfzYBWWnWe4u5+XTX1YnykubS6l0V2LRWWgONuMKuhiWNozx2eN5ZNUjLK9cjkPjwGAw0BRq4vqR13P9yOsB5Uu+sX4jrqCLfon9emQnhWNh9rXuQ6/V0z+p/2F7nxyMuISJz+cjHA5jNpvVXkGcbFFfX49Wq+3S4uDX3/yaxeWL1fmLNGsai65YdNgzL+d8fA77Wvap5Uh3yM3sUbN54OQHDvsa20/va7QaZn0wixpvDXaDnUBUseH99hffkmhKPOxjxBEP1j6fT6Ulx0uN3VFZ41Tk9nL8cVpyIBAgFArx1z1/ZUXlCpLNyQSiAdxhN/0S+tE/WclU6731LK5YrJRGEWgONmPSmbAarMpMWqAJs95MijmFYCyIVW/lzOIzcQVcOAwOrh9xPVaDFX/UT4O/gX/u/CeFCYXK/Yt40Qpanpj6hHrejY2N6nV1hQNtB2jwN5BsSmZg8sCjHnzi2Ut8cLt99lJbW0tBQUeSQXyUYuTIkUf1PA7C/9vy9XDkOljtIcsyzc3NeDyeDpnRsfR8b39sp9OpOiv2NUDWemvZ4tyCTqPjpOyTSDYnK72TYAuv7ngVk8GE1Wjl1U2KHPi0/Glo0SIiIqOw5bY2bKXcXc5t39zGqMxR3DPhHganDO5UKllVtYor5l3B+tr1GAQDKekp6LQ69Bp9B4FHQRA4MftEQKlrr6hcQVOgiUEpgzoINIIifX4s/OG7claML8BarZZoNIrD4SAtLa3TawPRAN8c+AaHwaGUhXRm2kJtbKjfwMzCmYd1Pu2FLAFkZCLS4We/8TJd++n9d859hzuX3Mlu127yHfk8d+pzRyWYQEdasiRJ6kR5Q0NDl6XGQzlVxmIxYmKMlZUrybJloRE0KmNrb+teqj3VOEwO7Ho7d467k5AYIipFWVO9hgOeA0qgQiIiRcgyZGEz2LAZbDT6GylyFHFe//PItefyXfV3fFP+DRpBg16jJ9WcSkVbhVKWQ+DXY37d4Tp7ylC+rfiW93a9pyhEIHNW8VlcMuiSoxpUuste4muEy+XqkL0cDolg1apVPPHEE0iSxKWXXspNN93U4fHPPvuMZ555Rt1Il5aW3rhnz543D/eafvaA0hfF4SOtecd9LeJltvYfzrG06AVUGXJBEMjLy+vzF/NA2wGe+O4JIlIESZaYXzafR6c8SqollU31mxBlkRRTiqp+/HXZ10zKnsTA5IGMyRjDxvqNNAebOdB2gBHpI8ix57DZuZkPd3+oZhtxlDaX8vjqxzELZpINyVT5q6jyVJGfkE9EijA2c2yn85NlmQeWP8DSiqXIyGgEDfdNuK/PRlZHCkFQnBUtFgvRaJSqqirMZjPBYJDy8nK1NKbSaAWlBxCXXY9vKuKKzIeDa4Zfw8OrHlYNyEw6ExcOurDP7xPf/ASDwU5lujxHHp9e/Olhn2Nv0ZVast/v75VacnOwmadWP8XW2q30T+2vSN3Hwhi1yne0LdSGVtDiDrmp9lZTkFDA1cOvVgPj7YtvJz8hH3/UjyAIfL3/a3X/LMsygViAD0o+YFXNKnwRHxExwsj0kWg1WsXHR4oxe9RsgrEgRYlFqikYKFTtBRULKPWVkmRO4tIhl6o9PX/Uz4e7PyTbmq2axS3cv5ApeVOOWLiyO7TvvSQlJVFZWanO4DU0NLBw4UIcDgcnnHBCr99TFEUee+wx3n77bTIyMrjkkkuYMWNGJyO+s846i4cffjj+52EHEzgOAkpvcDQW+3i62F0D/GjIy3eHOItNq9Uedkntiz1foNFoKLAraXClu5KVlSu5eMjFGLQGJFk593AszMb6jfgjfqo8Vdww8gbmjJ/D2rq1/GvXvzDqjGoZINGYSElzSadjbW/YTigcItGSyAkZJyC5JJx+Jw6jUlZoT92MY1vjNpZVLiPVnIogCETECM+ue5bzB55/TJwDD4VQKKT2qOIlje5otFcMuYKPSj5ShSmLEoqYkDPhsI99xQlXoNPo+Gj3R5j1Zn4z7jedsrVDQZZ/dIhsP/3+c6IrmfjuaMkIcNeSuyhtLCXNnkZpaymiLOIKudCiJSbFCIkhJmRNwKBTyr5Ov5Oy1jJOzFIy3lPyTuGrfV+RbkknFAuR78inNdRKVIoSFhXJn+FpwzHrzFS6KylpLmFkulIOSjAmUO2tZlzWuC5Lq/PK5rGkZgkFSQU0Bhr507o/MTZzLBXuCsw6M4FoQO0FajVatIKWQDTwk9zneK+kPZ1+1qxZLFq0iBdeeIGXXnqJSZMmMX36dEaNGtXt+2zfvp2CggLVkfLss89m6dKlh+VM21v81wSUIylHxZtgPTXAj1XJK96rycnJoa6urveeKyE3X+/7GlfQxaiMUfgjfnVn54/6KWkqoaKtgs3OzVw57EoSjYlUe6qp9FbSGGhkUs4kHEYHf9vyN3IduZySdwptoTbe2PKGMiyKzC7XLva07GH217O5adRNnJh9opJJeaMgoLLu8h35jMsax9/O+Fu3k9G+iK+DX7teo0eURIKx4E8eUPx+v8ocbO9X0xWN1uv1cm3+taQJaexo20G/lH78+sRfH5GSsCAIXDrk0j6RDtpDlmXq6urQ6/W9lt7pDarcVWxv3E6SOYmJOROPuIdV4anghQ0v0BRo4pS8U/i/Qf9HOBimpaWFhkADexr3kO3IRq/TYzFYcAVc/GrMr/BH/CSaEnll0ys/CobKynVHY1F1Y3fRoIvQa/Ssq19HsjmZD877gO9rvme9cz0WnQWn34lZp3xHUywpSLKEN+Il0ZSI0++kOLG422tcU7OGDFMGZr0Zq8bKsoplVLgrGJQ8iHp/PQfaDmDUGcm15dIaasVmsHXITkRJ5ID7AJFYhIKEgi6ZjYeLg5vvgiDQv39/MjIyuOCCC8jNzWXNmjUsWrSIESNGdFsGa2hoIDMzU/07IyOD7du3d3re4sWL2bBhA0VFRSxatChvz5491Yd77j97QOlLyauvkGWZ1tbWXqn1HouSV3NzM263Wz12b9lq/oifP6z6A/W+esx6M99VfceozFG0BBVZ89XVq3GH3AxJG0KVp4qXN7zMb8f8lg3ODbyz5x0m5kwkzfpjv6CirYIhqUM4vd/pbG3YymbnZmo9tarMhzvk5tHvHuXZac9iDpiZ2X8mP7T+wJ6WPYoro9bAb8b9pkeZjUEpgzBoDXjCHqx6K82hZganDFZteX8qtLW10dbWRn5+/iGZg3EabXp6Orfm3ao2olvqWghbwx1se38qxGnsVquVlJSjJ+P+XfV33LboNpWyPa1gGi+e9uJhB5VGfyM3fn0jwWgQo87IW9vewhVwMTB5IPub95MkJSFoBMKRsKozFo6GGZ0xWm3C1/pq+XzP59j0NoKxIFm2LKJSlE9LPyXdoqhhn9f/PM4fcL66aA5IGcB1I6/DHXZzz7J78IQ9OIwOAtEAYzPG4o/68UV9ZNuyuXn0zd2ev1lvpjXQCii9v4ZAA+Ozx6v9mUAkgMPowBlwkmPP4caRN2LRK5luTIrx8qaX2dKwBa2gxW6wc//E+4+axlh3Ol5xLxSbzcasWbOYNatnJYXeYPr06ZxzzjkYDAY+/PBDFi1a9A4w43Df72cPKL3B4Sz2ccE/WZZ7rdZ7tAJKnFUkSVKHY/e2sVbSXEK9r16VW08wJrDHtYcbR93IvD3ziEpRJuVNUjn4Nd4atAYtp2adyvra9TSGG4kaomi1WmRZVmvSBq2B35/8e6o91cz5dg7FScVYDUrG1hZsY1nJMm4YfwNms5k/n/pn1tWtIxgLMjxtuMIS6wFpljReOf0VHln1CPX+ek7MOpE/Tv3jT7YYx2nBoVCI/Pz8Pjcv9Xo9SUlJJCUlqY1ot9uN0+lU2DdWC5JeIsmSdNTYaQcjFotRU1NDUlLSUZX9AXhg+QNoBS1mgzIHtKJqBSurVjK9YHqv3yMqRtnp2okoiVS7q/FH/OqkvVFr5PWtr5NlyUKQBQSdQFFyETWeGgCkmMTkzMlo2jRU+aqw2WxcP/R6sm3ZbHZuJsuWhYDAcxufQ5AFJFliVtEsbhl5C9CZlpxgTGDOSXN4edPLVHurybHlcPspt6sMMLvB3uPndOHAC7lj0R14Gj3oNArZJNGYCPxHhVir58aRN6omZf6on3l759EUaEKSJDbWb6QoQbFWaAg08P6u97l7/N2H89F0wtFya8zIyMDpdKp/NzQ0dCq5JyUlqf9/6aWX8sgjj3RukPYB/08GlPjAYEJCAsnJyb3Ogo5GySuuFGy321Xl3b4eQ5KlDuS9eG1/euF0xmWPY/b82SSZkpBRDIpEUSTRmkimLZN7rPfw0IqHqHJXEY1FGZM2hoHWgcRiMXQ6HRpBQ0FCAZm2TJw+5csWjUYJRULkZeSpZS6TzsTU/Kkdr02K8cKGF/hy75cYtAZ+NfZXXDToIvXx4enD+eySz47k9h0W4uw5QRCOSr/h4Eb0D5U/cOvHt+KJeLDr7fxl2l84ufDkoyoHE9cVO9hu+GhAkiWag80kmZTFI37OLcGWXr9HIBrg5oU3s9u1W517ifvugCJSGoqGSNIlYbFYEGWRKncVf5zyR+p8dWTbs5leMF2xJfgPLbmpsYlRhlFMGjwJUS9yy9JbyLZlo9MoNsLLq5ZzyZBLyLZlq6yx9kOV/RP78+TUJ/FFfaRb0tXFtjeiojuadmDWmsl0ZKqlsgp3BYmmRCJihEHJgxicrDAfI2KEp9Y8xYG2A5h0JsrbyhEQ6JfYDwCH3nFY1tbdobuA0leW1/Dhw6moqKC6upqMjAwWLFjAn//85w7PaWxsJD1d2ZguW7YMoHNTtQ/42QNKbxf73gaUw3V2PBoZyqGUgnvriTIkZQgp5hRqvDVYdBbawm1cMkShLDqMDi4fejn/2vkvQPmSnTfwPDJtSq20KKmIl898mfK2ckKxEIv2LeLWb28l05jJVQOvoiitCJvNxuxRs3lw5YNUtFQQFaMMTB/IzOKeabJ/3/p3Ptr9keKTIcV4es3TZFozu3RhPFJExAi13lrsBru6C24PSZaU8prOSn1dPVartdebh77AG/Hyq29/RUSKkGhOJBAJcMfKO/jE8Al6WY/FYsFut3c7o9EbtCcQHAu1CI2gYWzmWDY7N6sLpoDQrR1zV3hv53vsaNyhki4aA43EpBiN/kY0guLqmWxMVu+DFqU8elLOSZ3Knl3RksubygkFQ3gkD4JOwGayoRE0hMRQl7TkWCzG53s+54PSD5BlmYFJA5kzfg5t4TZEWaQooQijztjhuI3+Rsrd5Zh1Zr6v+Z5CWyHJiQpBp8pTxazCWdgNdpJNyUzOm6z2/spayih3l//IEpNhdc1qQrGQIpYabGRa/rQOx4qIERr8DZh0JvWe9RY9CUP2ZdRAp9Px8MMPc+ONNyKKIhdffDEDBgzghRdeYNiwYcycOZN3332XZcuWqdR74NpeH6CrYx7Ji38qaDQaotHoIZ/X2tpKS0vLYTk7HulCFFcKzsvL69AIPvgYXQWtUCzEv3b+i03OTaRZ0rhu5HU8OuVRPt/zOc2BZooSi7Ab7Czev5hx2eO4cNCFDEwaSJ23jnRreqeFIdGUyIj0Edy19C4q2ioUuflwNX/d91fmps6lsbERe9TO3YPvZp9vH0lJSexw7eDa+deSYc3g6mFXYzPYyLZnq7taUGZTHEYHOo0OnUaHN+Llh5ofDjugRMQIoiR28mSvcldx7fxrcQVciLLI7FGzufOkO9XHN9Vv4tZFt9IWasOqsfLizBeZnDL5sM7hUKhwVxATY+o5WgwWwrEwkl2iMLlQlYPpbkbjUIhPvx9MIDjaeO7U57hjyR2KCKXewjMznulxCPVgVLor0Wl06u/EqreSY8/h9H6nU9VcRbGlmE+rP8UVdGHRW/BGvEzKmYRN3/OmLp4NDrUOxbDRwCrnKsVpVIYxqWMwhowEg8FOtORdzbv4V+m/yLRmokVLaWspV311FQnGBARBIMuWxUOTHiLZogSMspYy/rz+z0Qlpelf5aki0/Bjw1qWZU5IPYGJORM7naOE1MH8LdWSSp4jj6ZgE7IsMzpjNJcPuVx93BVw8ey6Z2kKNCHKIqf3O50rh1x5RDpe8X/v67o2depUpk7tWGm444471P+fM2cOc+bMaf9waZ8OcBD+awJKT9lDe3fDoqKin1SeoC9GXN2VvF7b/BqrqlaRbklnf8t+Hl31KM/Neo7Zo2dT5a7id8t/p2oUJe9O5ompTygpecpgBEHAH1EakSnmFJU10xRooqKtQqlNCwIZugzqffV4NV6KsoqoqalhYNpABqYN5I/r/sj21u2kWdNYV7uOz0o/ozipGKPOyNypcxmfM145tjmZCk+F2pwUJbHL7OFQkGSJP637E+/ueBdZljmt32k8Oe1JdUc5Z+kcGvwNJBgTECWRN7a+wfjs8UzMnYg34mX217MJx8KYBTNhOcydK+9kRd4KlWmzp3kPT/7wJI2BRmYUzOCOE+84bKZZmiWNmBxDK2nVMo8oK9d9MLXzYDmY+GPdycHEhy/z8vJ6JIyAQgffUL8BURYZmzm2z6yidGs6H1zwARExgl6j7/MGamTGSBbsW6CIWCIQiAYYnz2eC3IvIJQaIjs7m9OGn8aLG16k2lPNGf3O4JYxt/T6OHtb9uIJe8iwZBCIBRAQsFltJFgTuqQlV7mrVMIIKOXYA+4DnNf/PEAZAn5nu0JQMelMfFD6ASatSRGeRENrqJWGYAOiWxn6HZQ8iDEZY9TzaQu18VHJR1R7qumX2I8kUxK13lqseitt4TYuH3I51464lqgY7bQhenvH27SEWsix56gzLMNSh/WaOn60eig/B/7rA0pPPYtjjbhSsE6n65URV1clL1ESWV29WlVmtegtVHuqKWsp46Tsk/h3yb+JSlEKEgtAVnbvC/cv5JoR1wCwYN8C3t72NjIyWbYsHjz5QTJtmaoIoyiL6ASlJi3JEhpJQ1VVFenp6dhsNsKxMKX+UvIS8vCFfNR56pTBRFmDTtDx4KoHWXDZAgxaA7efeDu3LLxFUYdFGa47nIG9z/d8zj93/JMEg7KbXHxgMTn2HOaMV3ZKe1r2qDtbrUYhFuxv28/E3Imq97keveKlLhgIxoLUeGsYnDKYel89V8y7An/Uj0Fj4LUtr9EaauWJaU/0dErdIsuWxb0T7uXZtc8Sk2JIssR9E+8jzdJx6r79YFpKSgqxWAy/309zc7MqBxMvjWk0mi6n37uDJ+zhynlXKrV7QSDZnMzHF358WKyiwzUtu3jQxZS4Spi3dx6AosWWfymRSIScnBw1K3hy+pOH9f413hr0Gr2qpCDLMrU+xSzMbDWj0+g6uH5GPUrfLypG0Wl1tARbsBvs6r3Ua/X8e++/2dK0BUmWKGspw6g14g670Wg0ZFgzuLToUvrl9MOqtzI2c6y6oYmIEZ744QlV2mZvy16Gpg5leOpwGgONnFl8JmcVn6Vm6gB13jrW169HK2gpbS5VTcK0Gi0CSomwt+gucBzv0vVwHASUI+mhBINBamtre+1ueDQRn8JOTk7uwJToCV1dh0bQYNAaiIgRTDqTKjMRnznxhD0YtUZkSVbZJ3H577KWMt7c+iYZ1gwMWgMNvgaeX/88T894mgRjAhcPvpiPSz5WA9nEzIk4651oHVre3/o+AOcPOB+dRocoiMg6GY1WgyArE+RaUZk4Lqspo196PwYkDeD9899nY/1G9Bo9k/Mm97hTbvA34PQ5yXXkqj8wgPV169GgUWnIJp2JtbVr1ccLEwo50HYAh8GhyrrnOZThLGPMSCQawWBSGuLxRT7+/t9Vf0cgGsBhUHS49Bo9n+75VDHzOszNxo2jbmRy3mQq3BUdnAx7gk6n6yAH094TXpZlWiOtuA1u3M1uhqcN7/HcXtvyGmUtZdiNdoVV5GvgmTXPdCkgebQgyzIL9y9kacVSUswpXDfyOh455RHuPOlOYmKMcFtYWZgzMo5oE+eL+AjFQmRYMpCQVE/71lAreo2eCz69gLAYZkL2BO6ZcA9paWmkpaWRnZNNia+EVdWrEGQBu9ZOoiGRmBhDq9Gyu3k3yaZkChILkGWZdXXriEpRsq3ZRMQIB1oPkFSUxIz8GZ3Ukis9ldR4a1Rmo91gp6SlhN+c+JsOJeA4KtwVPPb9Y4TFMLIsK6oSjnyKk4qJSTFk5D5N2B+tpvzPgZ89oMChm9VdLcTtBRaPZu25N3Mih6sU3NV1CoLANSOu4W+b/4ZWUCaIh6cP54RURWJhct5kNjs3oxf0SCjSFROylSnuWm9th7Q/zZpGWWuZeg1XD7+aoWlDqfZUs71uO0vLl7KoYhEVngoKEgowao0sr1zOBQMuYF7ZPKKiImefaEok2ZqsNFptyWQ6MmlpaVF32tOzph/Sk+TzPZ8zd/VcEJSg+fT0p5lWMA2AXHsuoiyq5xkWw+Q6ctXX/mnmn7j2q2vxR/2IksilQy7llNxTcLlcmGIm7p10L8+tfw6tRosoi9w/4X41Y2jv8AdKeU2vOfLByq70znqLuFKyxWKhsbGRTfWbuHfdvUTFKKIkckbhGTwz45luZ16q3FUIGuHHoVGtngp3RY/H3NawjUe/e5TGQCOTcyfz8OSHVYp4b/Duznf507o/oRW0iJLI4vLFfHLRJ6SYU9Shy7S0tMMOJrIs8/qW1/nX7n8hIDAkZQgXD7qYz/d8rmalYTFMqjmVZFMya2rX8MrGV7hv0n0AGPQGHpjyAFe0XaEYhelT+XjXxyypWAICJOoTGZikGHQJgoBOo8NusBOWwui0OnIsOejMuk6qyVqtYggWd4oVBIXCjMyPQ5gHYf6++UhI6qZHlEUCsQA13hpkWeb8AeczLLX3BAhJkrrswR3vXihwnASUQ6F9QJFlmYaGhsMWWDzUcQ4VUI608d9VpjWr3yyybFnsbdlLkimJk/NORq9V7I+n50/HH/azYP8CDBoDd5x4B2OzFKp4miUNCQlREtFqtLSGWsmz/6gTJggCYzPHEvPFeLHyRbITsyltKSUmxWgKNDE6YzRNgSZaw638+dQ/s7d5L5WeSr7e9zXNwWYsOgtPz3ialKQUSKLTTluv16t9gvY9gHpfPU+sfgKL3oJBq5Sk7lt+H8t+sQyrwcq1I69lacVSyt1KCSfFnNKBwz8weSCLr1zM/tb9OIwOChMKVT59bm4uN+bdyCn5p1DpqaQwoVB19gOYWTSTzPWZ1Ppq0aABAeacNOdnly5pP/0+d/tcRERsJpuyWFctZkbpDEYljlL7BDabTQ3Y43PGs7h8sdq/iErRHqVhar21XDv/WiJiBKPWyBdlX+CL+njl9Fd6fb5vbn0Tm96mZsrNwWaWVyxngn0CFovlsIcuw7EwkiyxybmJ93a+R7o1Ha2gZbdrNxm2DN47/z08YQ9bnFt4a/tbqmJBuiVd9U2JQxAE+iX1U//+zeTfcOP4GwmGg3y+63O+3P8lgUBAFTUtSCigKLEIr89LU7iJgvQCjEYjkiTR6Gvk9S2vK1loYhHFCcXsad2DSWciJIY4s9+ZHdhqTp+TpZVLCcfCVHuqO2xkLHoL0/KnceHACzHqjF1mNT2hp5LX/zKUo4B4QIkPflkslsMSWOztcbr7MOOB7HAb/z3NoQxLH8aw9B93MXHFVlmWOWfAOZw78NxOrzkh9QQuGnQR8/bMQ6vRYtFZuG7EdbQEWzDrzDT4G6ivr+ftvW9TG6pFF9CpZbNANNBBEHF0xmhGZ4wG4NYxt9ISbCHdmt5BgqS9J0koGmLu6rks2LcALVquHnA1Vwy9ArvdjtPnVEt5gKrg6wq6sBqs2A12PrzwQzbUbyAmxRiTOYYEY8dBPpvBxsiMkerkuNls7tAjG5QyqMvSk91g5/NLPuft7W/T6G9kav5Uziw+s4+f1NFF++n35ORkRRftPyU5rUaLoBGImJTvVTAYVF0V41PRlwy4hNLmUj7e/TEIMLNgJneceEe3x9tYv5GoGFUXQJ1Gx7KKZerGozcQZbEDswmgqbkJW5at1yXeLc4tfL73c3QaHZcMvoTFBxbzccnHSgnIkoGMrO76E02J7GjcQZYtiyxbFnW+ug5Zgi/i65DFHgxZlllSvoRFBxZh0pmYVTSLwP4AOxt2AjA1eyrekJeyhjIEjcDM4pmMyxoHQEyO8fiax2nwN5BkSmJb0zayrFn8csgvaQw2UpxQzJT8Kera0OBv4Hcrf9fBmlirUUgbsiwTjoU5OfdklcrfV/TE8vpfhtIL9KbkFYvFqKioID09HYfj8HwqenMeXWUQoiiqi9qRBLLezqHEefbQsztbvKx1auGptIZb+bTkU36/6vcEIgGag83YNDYqfZXYjDbcYTe7XLvIsiryFnqNnpZgC6Iscv6gjj7ccfkJgBpPDc3BZgoSCjrIo/9ty9+Yv38+KZYUYnKMt/a9Rf/0/gwLDSPmiSlNafxYjYo/hVFnVCf7QembdOdKGMfhTo4nm5PVBv/Pja6u4YTUEyhxleAwOtThwEEpgzooJYPSp/N6vTQ2NHJD/g3MHjAbs8VMWkLPpSaz3qzaFQiCgCiJikNiHyb8f3HCL3hty2sYtUYiUgQDBmYWz+x1MNlQt4HbF98OKGXHj3d/jE6jI9+RjyAIlLWWEZNiqiePJ+xhTOaPLKvJuZMZmjqUVdWr0Apa0q3pXDL4Et7Y+gaiJDKjcEaHzHRR+SL+sv4vJBgTiEkx5u2dR54jjzP7n0lMilHnqePq/leTkZCBRWchVZNKVWUVVquVZqkZp99Jjk3pmeTYc6jz1TGpYBKZ1kx1Yxcfqlx6YCneiFedSzFqjWg0GhKNiWg1Wm4YeUOfxUDb47/VTx6Ok4ByKHi9XiKRCP379z+mXP2uMohwOEx1dTVpaWlHLIcRz4C+q/qOf2z/B6FYiJmFM7lq+FVqiavR18g/d/yTGm8Nw9KGceUJV3aiJR6MbHs239d8zw+1P5Bjy+G75u/whDxobBpkQcYf8ZNjy6HB30Ctr5ZhqcMYkDyAJHMSw9OGs7xiORvqNnDBwAtIt/646L+59U3e3PomWo0Wg8bA87OeZ1TGKABWVq1UWDUaLVoU+9Wd7p2cMeQMsqVsHhMe4+HvHyYQUVRbn536bKf+Rk8Ih8Mq4eJwHC1/SmxxbuHeZffS4G/gxOwTeWbGM6SYU7qdfv/r6X/lmq+uocaryJL8/uTfq9lhe+j1+k4DgD6fj/KWcoxGI3a7HavV2mmRmZo3lUEpg9jdtBtJltBpdfx+0u/7tBH61dhf4TA6WHxgMQbRwB0n3cGg7N7Prfxzxz/RClp1E7KzaSd6jV7NkDJtmbhDbhoDymBksjmZu8bfpb6+xltDSXOJ6iXjj/p5bt1zquXAogOLmDttLkNShwAK2zHJmITdqGRl/ohfHeDUCTrC4TAYYcrAKeox4mrJoaYQPr8Pr+DFaFCCgyj/Jwh3MVQpCzIafizDawQNGZYM5k6b2+v70xOO1mDjz4HjOqDEJbxDoRAGg+GYBhPo3PxvrxR8NCaYBUGgpLmE57Y9R6o5lURjIl/s/QKzzswVQ68gEAnw0MqHaAw04jA6+LLsS+p99fxu0u/UxUCURKW/obeoWcTOpp28s/0dXAEXVo2VYDSI1WglKAbV1yWaEkm3ptMSbOHzSz7HbrSzvHI5v1/xe+V9ZZEv9n7BO+e+Q6ollRJXCW9ufZNEU6I6xHjfsvv45opvEASBNEsatd5aNdjFZzPi9/GcIecwrXgajf5GErQJSGGJqqoqtYxjs9m67UHFh/2ys7MxmQ5f9fenQL2vnqu/ulph6WlNrKxcyS0Lb+G9s9+jtra2y+n3XEcuS36xhKZAEw6D45AbBugsB9OeQisIQoeZF6POyPvnvc/nez/HFXAxLmtcn4dPNYKGKwZfwWTbZNLT0w8Z1CVZ4t8l/+bbim9JMafgDrs7BDCD1kBUiqpZUyga4twB53LFCVcQioXon9S/A2ng7W1vExbDqkfJ9sbtOHGSbE5GIyhaXp/v+VwNKAaNgZj8oxSMSWciGA0iyzIerwedXke/tB/7LfW+ep5b/xz7W/dTmFDI9OLpfF/9PVJQIipGOS3nNAhASBPCaDRS663lsz2f4Yv46J/cX+lZhlvRClrawm38csgviUajHZwqD7ff8b+S1zFAvMxkMpnIz89n//79x/yY8ZKXLMu0tLR0cnU8Gu+/u3k3WkGr/njSLemsqV3DZUMuY3/LfhoDjSpd0aa3scm5CW/Ei8PooNHfyGPfP0attxaAa4dfS35CPnctvYsmfxNN/iYafY3otDrCsTBpjjTCsTDBWJCIGCEUC/F/w/5P3cW9vuX1DoGp3lfP0oqlXH7C5dT76lXNJlB6E43+RoKxIBa9hTnj5zD769m4Ai4A+iX266DrBR1LZwBpaWlEo1E1UIui2MnwyuPxqOy9Qw37HQ/Y4txCTIph1Sufp91gZ1P9JvZX7ac4v7jbTZBG0By2WVN7peT4PfX7/TQ2NhKNRlXTqytP6P109sGI+wdlZmZ2a5HbHq9veV0tkcUDRxySLJFkSiLTlokr6EJAIMOWwa/G/KpDRtweraHWDjMzETGCO+wmIkYUai5VDEr+MWO68oQrefS7RwnHwsTkGINTB2PT2zjQdACtXstFQy5SS2oRMcLDqx6mNdRKmjmNak81baE27p14L66gizxHHiNTR+L3+3G5XNR56nh6x9NIgoTJYGJN7RrOH3g+jf5GwmKYGwpvYFKOErAPdqqMZzh9CS5dlbzi69L/mvK9wMFf+qNZZuoL4hlKXV0dAAUFBUflA5RlmZikfLnsensHUT1/zE+GNUOhCmp1HRqRoix2oCu+sOEF6r31ZNuzafI38dulv0WSJPRaPcX2YmJijLZIG4naRAxaA3aDHWOCkVxHLsmmZCblTuKyIZepxw7FQh2dCWUIi2Hl2hMKkGSJiBjBoDXQFmojy5al+k8MShnERxd+xKb6TRh0Bk7OOblXtNT2qr4HGzTFe0zHOpisrV3Lc+ueIxgLcumQS7lq2FWHvfDajXYkWVI/s6gYRSNr6Jff75hn1HHo9XoSExNJTExEkqROcjDx0lhvN0ZxbbG+ZIj/2vUvEowJahBwBVxcOOhCnD4nWo2Wq4dfzfC04exo2oEoiQxLG9bj92VG4Qw2N2xWZrD+QyHWaRRxUwQIRUMdMrtx2eN4esbTfF/9PSadiVMLTsXv8hMxR0hxpJBpzVQ/40Z/I66ASx0MTbOkUe+rJ8+Rxyn5P/b14vd0a9lWQnKILGMWsZgy9/RD5Q/87cy/dcqy4xlEnIp8sKClRqM5ZPbSVeCIf7/+F1D6iLgmVm5ubocvc2+9RI4UTqdTrVsfjWPtbd7L02ueptHfSLYlm2sGXkO/pH6Ut5WDrIgPFjoKeX/X+5xZfCYj0keoPyRf2MfQ9KGsqFzB2KyxlDaXkmpNJRQLsbVhqzIEJujwhrxUUMGIjBFUe6uZUTCDuyfcTVOgiURjYre7wAsGXsBfN/8VURaJilFMehMn554MQHFSMfdPvJ9n1j4DKCWzP5/65w73JMuWxTkDzjnsexM3vLLb7TidTqLRKEajkZqaGnQ6XZeU5CPFtoZtXDf/OqU0odHy+OrHkWSJa0dce1jvNylnEuOyxrGhboMSTNDw0CkPYTL+PKW6g+VgwuEwPp+PmhqlX3MoORif30djQ2OftcUEFBvlOGRkhqUN46HJD3V4XpxZdShcMPACfBEf/y79NzqNjtEZo/FFfHgiHtWS4UDbAS759BLsRju3jb2NsVljGZo2VFXPyM7IVntXETHCl3u/pKy1TOlviVF1iDImxQjFQry36z2aA80MSx/GL4f+8keGowA6rU4tXUohhb7d0NBALBbDYrFgs9k6CIQe3Htp/1/74NBVkOhqneuuDHa8QTgE6+joWxh2gVhMYQXFNbFyc3M77aYOHDhAQUHBMashBoNBKisrSUxM7OBy1lc0+hup8lQpC7klnVsWKnpGCcYEnF4nZsHM3877G9uc21hWsYwVVStIMCYQESNk2jJ5ctqTrKtbR1lLGQv3L1S/RHaDHYfRgTfiRZIlNjs3I8syqYZUaoO1SLLE0LShiLLIS6e91CslWUmW+HD3h3yz/xvsBjs3j7m5EzvFG/HiDrlJt6YftmxHj+fwn4zQaDSSmvqjKmskEsHr9eLz+Xqli9VbzF09l7e2vaU2i0OxEDn2HBZdueiw3zMqRvlw64fUu+uZMnAKE3IP3z74WCIuBxMnubRfCDc6N3LXkrto9DUyLGMYL572Yo803YPxj+3/4IUNL6DX6IlKUZJNyXx04UeHpfXWFZZXLucP3/0Bi06Rxq/11ZJoTKQwoZBQLEQgFuCV018h15pLTU1Nh76PLMvM/WEuq6pXYdVbCUQDWHQWImIEreZHO2K9Ro9Vb8UT9jAsbRgp5hTawm0MTxvOkvIlBGIBjBoj/pifO0+8kxmFM9SM0OfzEQgEVIFQq9Xa5UYoHlDaB5d4ANFqtWg0GiorKykoKOjwungJcuTIkUflfvaAI4pax0WGIkkS1dXVGAyGbjWx4uWoYxFQ3G43TU1NJCUl9XlYsT021W/ij9/9EVEWEWWRSbmTCEaDZDuyAYVeuKNxB29ueZMLBlzAjqYd5Dny1J1QtaeakuYSzup/lsquyrHnEI6FWVe/DlES0QgaUiwpykJozmFw2mDsfjuVnkqGpg7losEXERWjlLeVU5RY1OH8SlwlvLblNTxhD2cUn8Glgy/lF0N/wS+G/qLba7Ib7MfMdTFOqY2XFtrDYDCQkpKiepf7fD5cLpe6EB6uZLxRZ+ywk5Zk6YgCpSzLtLhamJk1k6wxR8+u91igOzmYXZW7mP39bGRJVtUWfvXNr/jy0i97fT3XDL+GVHMqSyuWkmpJ5fqR1/c5mMiyjC/qw6wzd5pKn14wHZ2g4+v9X2PSmVhTs4ZUSyoGrQGD1oA34mWbcxsYFWOp9n2fpkATP9T8QK49V2GUmZKp99XzmxN/g1bQ4o/4+duWv6lzI3qNnk9KP2Fk+kgcRge7Xbs5t/+5ihBr1M+k3EmqWkV3AqF1dXVIkqQ+drBacvvSWPuyWCwWUynK7Z8viuJxX+6C4ySgeDweHA5Hp0WlPY6FRe/BSsEej+ewjyHLMk//8LTa5BYlkeWVyxFkRW/KF/Gxpm4NoWiI+WXzWVG5grAYVhdrSZZoDbXyXfV3pJhT8IQ9qkLutsZt+CI+kk3J5Dny8Ia8nJFzBlXhKhqDjRi0Bl4/83UyrBncueROQmIIURK5bMhl3HHiHQiCQKW7klsW3qLMoGj1PLv2WULREFePuPqo3c++IBKJUFtb2ytDqbhXQ3whjO+y2/cIbDZbrzYblw6+lPd2vkdrqFXRKxO0/Gbcbw7rGo6V9zsoGm613loybZl9nrTuDdoPqW5q2YQkSzhMDkRRxCJY2N+yH2ebk8zEzF5dlyAInDPgnMMugTYFmrhv+X2UukrRa/TcM+GeTu91Sv4pao/juvnX4Q171c2AJEv42/xkjMjoRCKIbyAOHtQckDSAfkn9KG0u7TC30xJS5rPiWblBa+D7mu95//z3D3kP2guEHtwjNJlMKmEi/l2Nl8Z0Oh2iKOJ0OrHZbOo6FA8s/w06XnCcBJSkpCR1kK87HO2AEp9e1uv1alYUH6A8HIRiIXxRnzocFZ9cn5AzgXV169jfsp+oGGVI0hCStck0B5vJsGVQ66slwZCgBI2oj8UHFrOicgVn9z+bUCyEO+ymJdiCBg3p1nSsGit+2c/1J12PUWekNdRKv8R+FCcVc+EnFxKTY6SYUxAlkY9LPmZq/lRGZ47mu+rv8Mf8ZFqVXZhOo+Pj0o87BJQ1NWtYXbOaZHMyFw26qMMg49FEMBikvr7+sGjB7Smy7XsE1dXV6mN2u73bTDM/IZ95l8zj3R3v4o/6OX/g+V3KmHgjXjRoum0cHyvvd1B8Z25bdJtCygCemvZUl0oJcQSjQX6/8vcsOrAIs87MA5Me4OLBF/fqWG1tbWjCGjRa5T+dTmEI6mU9YV+Y8tZyzGazWsaJL2rusJuXN77MnuY9jEgfwa1jb1VtDQ4Hf1j1B/a49pBuSSciRnhyzZP0T+7frX7adcOv4+ZvbsYT9mDQGhibPJazhp7VJSMt3ZLOuKxxrKtbh91gxxfxcULqCarFdv+k/gxNHcr2xu3KbyrYSoo5RQ1Woiwelh5cvEfocDg6UL3j39V4cIn3quJyRnGNtHjmEt9ExRv7xzOOi4ByJIrDh4NIJEJ1dXUnpeDuJuW7gzvkZrdrNwatgWFpwyhKKKLGW0OGNYNANIAgCFw/6nouG3IZj3/3OPW+enIcSsDxerz0t/Un25TN8vrlSJLEhOwJWA1WQrEQ31Z8y50n3skHuz5AI2jIteeSqEkkGAlSF6zjpU0vcWa/M/nlsF+qlql1vjo1YGg1Chc+bk2q1+g7dMQkWepQVpi3Zx6Pr35cZZd9sfcL3jv/vaNe7uqLB8ihIAgCJpMJk8lEamqqSkmON0vjP9iDRRcLEgp4cPKDXb5nKBbirm/vYkn5EgAuGnQRc6fN7SBZciy93/0RP7ctug1JljDrzETECPevuJ+Tck7qlmb8+OrHWbBvATa9jZgU48GVD5Jrz1V9bLpDS0sLfr+fWcNncZ77PL4q+0p97I9T/0hhXiGyLKtyMC6XC61Wi9Fi5LaVt7G3dS8mrYltDdsobS7l9bNe79M0fntsbdxKqkXpoRl1RggratrdBZRP936KTW/DoXfgj/jxyl4EfdfriCAIPDDpAT7e/TF7WvZQlFjElSdcqX7/dRodT0x7gnl75lHlqaIosYgF+xYoGl3/UQK/88Q7D+u62p9De6p3LBbrUMaVZRmj0Uh6enqnxr7b7cbj8VBcXHxE5/BT4LgIKL3B0Qoofr9f3R0fvJvpi698rbeWu5bchTvsVixIkwcyZ8Icnl37LJXuSsw6M78/+fekm9NJNSo15cdXP4475EZCQhIkLhhxASPTR1J8oFhR5o0o3t1anZZgNMjMwpmcUXwGC8sWMve7uThDTg54DmDRWWgNtvL6ltdxBV3MGT8HjaBhUPIgDrQdINWSqvL1CxMLAYWG+da2t2j0NyoqvZLInJN+lCd5edPL2Iw2lRZc661lZeVKteyw2bmZB1c+SKO/kdGZo5k7bW4nT5BDoaWlBZ/P1ysPkMNBe0pyfLK8ra0Np9PZpehiV3hx44ssKV+C3WBHRubzPZ8zOGUw1428Djg873dREllftx5f1MeojFE93rcGfwOiLKqfg0FrIBQLUeOp6TagrKhcgVlnVlUL/FE/a+vWdhtQZFnG5XIRDofJzc1FEAT+OOWPnNP/HBr8DQxOGazqpB0sBxOJRNhUvYk9rj3YdDZ0gg6T0cQm5yZlw/SfGaq+ItOWSWuwFYdRsSwAOlgetIc/4mdT/SZy7bmEQ2Fy7Dk0h5r52+a/IQgCxYnFnDfwvA69MZPO1GN516QzccXQK9S/ZxbO5Ot9X+OOuBmfNZ5x2b1jp/UWOp2OxMREEhIS1JksvV6vDv82NDSoPcSGhgYGDBjQJ0vznwv/vwoocaXggoKCLnfHfTnGG1vewBv2kmXLQpZlSppL2NKwhb+e8Vf8UT/+iJ9PSz5l8f7FjM8ez4zCGTww6QHmlc1DI2i4fMjlqozJ8Mzh2Mw2IkIEi9ZCvbeeEUkjqK2uxWg0MkAYwIuzXmRJzRI+2v0RRUlFCAhY9Va+2PsFd554J1qNlrnT5nLHkjto8DcgIHD3+LvVHV6aJY1/nPsPPtz9IZ6wh5mFM5mc96NtbnzeJA4ZWZ1Jcfqc3LboNgQEkkxJbKrfxG+X/Jb3zn9PfX5bqI21dWsREJiYMxGH8Ue9NVmWqXPW0eRvYmD+wJ9k2reryXKv16uKLsb7Lgd/D9bVrlMdDQUUyfi1dWu5buR1qhxMX7zfo2KU6+Zfx0bnRkUwU2Pg/fPfV42kDka6NR2NoCEcC2PUGYmKUSRZ6nGhTjGnqIOAsiyrUiZdIa4+IYoiaZlpiiKxTmHO9aRgHIfBYCApMQm9Xo/RoPj0xGIxotEoTY1N2OWu5WC6Oxdf1IdNb+PhyQ9z55I7aQ42I8oipxad2qUdLyjy/QIC/oAfm8WGIAjUeGv4dM+nJJuSWSgu5Pua70k0JlLlqWJo2lBuGn1Tn7LtZHMy/zf8/3r9/MNB/LMQBEE1KQNl01JSUsJrr71GS0sLkyZNYtasWYwdO/aISEM/BY6LgHKsS16yLON0OonFYj0qBfel5OX0OdX6uiAI6DV6Gv2NqunTHYvvoCnQhEFjYFnlMlpDrVwy5BKmFkzt9F7p1nSenvE0z69/nqZAE7P6z2L2qNnIIRl3sxuj0UhCNIHBlsGYdWa1uSjJElpBq5YZch25fHThR7gCLmx6G9/Xfs8rG1+hKLGIM4rPIMuWxW9P+m2X13PugHP5YPcHimeEGMaiszA+W9nhljSXEJNianM41ZzKbtdu/BE/VoOVel89V315FS2hFgQEUi2pvHvuu6Rb05Ekie9Lv+fB9Q/iiXnQaXQ8PvVxzig+Qz32ZudmHln1CE2BJk7OPZlHpzza6ccfjoWRkTuoH/cW7csNgMrEidtGx/suRqORwoRCtjdux4zieCnJEoUJhYft/f5l2Zesr1uPzWBTVXPvX34/X132VZfPtxlsvDDrBe5YcgehWAhJlnh82uM9Ktc+csojSpM64gWUGaILB3Z20oz/DmRk/lb2Nz6Z/wkAFwy4gD9M+UOvbZIHJA1geNpwtjRsUWnCM/vNZGDWQNWlMs5+ivezqj3VPPLdI5S3ljMkdQhXDb+KJ1c/SUOgAYfRwTPTn+GjCz9ib8teHAYHw9KGdbsuyDGZC3Mv5JOqT/AH/URFZTK/OLEYnUZHVIryWeln9E/uT7olncUHFuP0OXlmxjPHDQsvTgiSJInMzI7EB71ez6RJkygqKiI7O5vS0lK+/fZbnn/+ed54442fdNi7rzguAkpvcLgBRRRFqqursVgsnT64ro7R25LX2MyxfFTyERa9BVESiUgRhqUNQ5Zl1tesp9H/HwkVQVkM/7XrX1wy5BJA+TKtqV3DzqadpFvSOaP4DAanDOa1M19DlESe3/A8F318EaIkcv7g85kzYQ4aNNjcNtJL0qlorsCoMyIicsOoGzpck06jI8OawR9X/5F5e+ep8vSra1b36Fr425N+i1VvZVnFMpLNydx50p3qHEKCMaHDNHhEUrKZ+OL+yqZXaA42qyUKp8/J37f9nXvH30tVdRUPb3wYr+gl0ZRIOBbmgRUPMDRtKHmOPGo8Ndz49Y1IkoRRZ2ThgYUEY0H+esZflc9PEnn0u0f5pPQTZGTO7X8uc6fN7bT4hWNh9Fp9r2r4BoNBHV6NU5LjVr3X9ruWtTVraQm3AMrifPXAq2loaDisvk+dr46YHFPvu0lnos5X1+NrZhTOYOX/raTaU022PfuQpcWxWWP56rKvWFu7FovewszCmZ0a5HFGmsFgYH7dfD4p/YQEk7Iwzds7j/yEfG4Zc0uvrkmr0fLqGa/y9va3KWspY1j6MK4edjV6rR6LxdJBYqehoQFP0MPta2/HHXHjMDlYV7eOr8q+osBRQLolHV/Ex13f3sVnl3ymDtZ2h/gU/62TbmXiwImUNJeg1+h5e/vbquqDP+InKkdJNadi0Vsw68zsbNpJS6ilQxktrmDR20B6NNHU1IQoil2uSfHNTlFREQkJCaSnpzNlypRu3un4wn9VQIlGo316TVzCpbeS930JWlePuJrmUDPLKpahFbTcOPJGTs49WeGTy6IyHvSf74kqo/IffLj7Q97Y8oYyVCXHWFa5jD/P/DN6rZ5PSz/l012fkm5Ox2g08vX+rylMLOTyEy4nPSmdty54i492f0SNu4ahjqGclHAS1dXVaglHp9Ph9Dv5quwr0sxpaAQNkiyxuHwxN4++WWW2HAydRsetY2/l1rG3dnpsVMYophdMZ1nlMuV6EHhk8iNqo7rB39BBSdigNVDnqaOqqgqdXUdrpFXNbow6I2EpzP7W/eQ58tjk3ERMjKklskRjIiurViLJEhpBwz93/JNPSj9RH5+/bz4FCQXcNu42QNF8um3RbayvW49Ba+DBkx/kyqFX9uozhM6U5EAgwLunvsv6mvUYDUZGpY0i4o0cdt9nZPpIdRpbKyj9jZmFMw/5umRzcrdlq65QkFBAQUJBl49JkkRtba1qjLV241p0Wp0afPVaPWtq1/Q6oIAikd/VdyWO9v2sHQ078Ma82PV2xKiIESP+qF/dkNgMNlpDrVS5q3qkSMeDSW5uLgaDgYm5E5mYOxFJltjo3Mj2hu3YDXZagi0YNYqgYzAWVCVh2pd0lxxYwgsbXyAcCzM+Zzz3TbzvmM1bHYympiZisViXVPP4DEthYeFxnYl0h+MioByLkld8TuFgCZdDnUd3xwhGg6ytXUsoFmJY+jDyHHncP+l+tSGO/CNnfGzWWBKNiTh9Tkw6E96Il2uGXwMoO+63t79NhjVDlazf7drNjqYdjEwbyap9q7DoLVjMFgQELHoLW5xbuPyEywFFAuXmMTd3OLf28hqCINAsNSMgqAuGRtCgETQEY8EOr3MFXITFMFm2rB539hpBo+okuYIuhqQMUVVeQfGuWF+3HotkUXovsTADTQPJzMxEb9Sryq9mvRlRUvSN4iUcq97aYQYgJsU6lPXW1q1Fq/mxrKfX6FlXt47bUALK/cvuZ0P9BtUH4w/f/4EByQN6LfHRHnEqZz9rP4pyimhsbMTn86HVaqmpqekwrd9bTMmfwpyT5vDc+ueQZInRGaN5ctqTfT63w0VcZNXhcKiMxlx7bgc9uagYVb09enwvSSQmxRQWVh9gNSifsV6v9KbC0TDIEAgFEEQBWZCJibFum/AAu527eWTFI7hiLoamDeXBkx9Uv0MaQcMTU5/g7e1vU+Iq4eS8k/lg1weUtZahETTUeGsYmzmWu5bcRXOwmeKkYjY3bFbthdfVruOF9S90y/w7moizurKzszute3Fr8cLCwh5n8o5nHBcBpTfobUCRZZnm5ma8Xm+flYK7K3kFo0HuXHInZS1lgDLx/szMZxiePlyh7P5n2lUQBNXS9oVZL/DuzndpCbYwKXcS5w5Q5ghiUgxRElXKYtzfwR/yU1VVRVFKETs9O9UFNRgLqlTjrs5rTe0aImKEMZljKEwpVLSF3BbSDelUtVXhMDkIikHyHHkUJhQCSu/lidVPMG/vPJUd9tLpL/W4O9QIGqbkd512/9+w/8Ppd/JxycdIosQFeRcwe+JsVc/q2RnPcte3d+GNeBElkRtH3aiSBabkT2FY2jC2N25Xqcx/OOUP6o8t35HPKmmVeqyoFCXX/qMkyPr69Vj1VqWPpdXjj/rZ1rDtsAJKHO0b1/369VMC3X9onrXOWv6242+sbFhJojmRByc/2EFQsCvcPOZmpanfbpD1p0C83JucnNwhQ//12F/zffX31PvqAcVP5/Zxt3f7PrIs89qW13h186uIssj0guk8Pf3pHudOfBEfC/YtwB12c2LWiZxZfCYL9i1QXUIvGnwRu1278Uk+YmKMXxT/gogrgjPgVOVg4r3ORncjv/7m14gakQRTAlsbtnLX0rt499x31SzZZrCp17CpfhPzy+YzOGUwoVgInUbHJucmREnEbrCz6MAiwrGw+j1KtaSyybmp6ws5ioiXVbsKJsFgkJqaGgoKCv5rgwkcRwGlN66NhwoocV0oQRAOSym4uwxlReUK9jbvVXsKbaE2XtrwEq+d9VqnYBJHtj2b+ybe1+m9jDojU/KnsLJqJcmmZHxRH1adFUfYQWZ+Jjdk3cD2lu1Ue6oBZUG9athVnd7HF/Ex++vZlLcpvuwWnYXXznqN/kn9SUtJ4+0L3+bJ1U+yq3EXgxMGc9Ogm2hpasFut7OifgWf7fmMVHMqAgK7Xbt5ds2zzJ1+eAZBWo2W+ybex42DbsTj8ZCf17E8NCV/CvMvm8+BtgNkWDMoTvqRT2/QGvjHOf9gwf4FtARbGJ0xmrFZY9XHfzXmV6yqXkWdV+k7ZNuyOxAL0ixp1Hhq0Bl0quDjkehHybJMfX09Wq22Q0kiTvN8eefLfFb1GQaNgZZQC9d9dR1vTHuDsXlje2Q3HVxyOdaICySmpqZit3cMYsnmZD6/5HPW161HRubErBM72AwcjKUVS3ll0ys4jA40goblFct5du2zPHLKI10+PxANcNWXV7G/db9q8zt32lxOyT+FGk8NxUnFTMmbQqW7kkpPJVm2LAYmD1RLjl6vl8bGRgwGAwaDgY01G4lpYurnmmZJo8pdRVOgqUuygoysevaAUpKNC0rqNDrSLGnsdO1Up8/90R8Hfo8VWlpaCAaDHdhccQSDQaqrq8nPz++1I+bxiuMmoBwKhwoosViMqqoqEhISDlspuLvXeCPeDpJpJp2JtlCbOsUajAV5Z8c7bG/cTkFCATeNvqnH9P3eCfeSbE5mc/1m8q35XJJ3CSf0OwG9Xo8ZM6+d+Rq7mnYhIzM0dWiXBkxf7P2C/a371R9US7CF59c/zyunvwIoP7rnZj2nPr/9j/WHsh8QY0rpSavRYjfY2dm0s8/3q/17NzU1EY1GKcjvOpBn2jK7ZSoZdcZOXipxJJuT+fziz9lQvwFZlhmXNa7D4vfU9Ke4bv51BKIBZFlZHM8qPuuwrqM30+9flCmGaHqtHpNe+R5s82xjWHhYBx94u93+s/m5xGdlejLGsugtTCuY1qv321i/EfjRRsFqsLK2dm23z/+2/Ft1HgqUTPrZtc+y7JfLOjyvMLFQnZOCjnIwsiyryuNWg5VQOERIG8KgNyAhISN3myENTR1Kti2bGm8NJp0JT9hDgilBbdrbDDaSTEk4/U7VjbQ79uPRQHyAND7z0x6hUIjq6mpyc3NJTu59z+x4xf8TASUYDFJbW0tmZuYxGf4Znj5cFZEzaA24Ai7OH3C+mlE9vvpx1tWtw2F0sK91H6WuUl4767VuKa5mvZnbxt6Gy+UiFAqRnZ3dYWdr0pkYmzUWf8TPM2ufUeRQTMncM+EedffeFGjq4GVi0ploCjR1ew3tf6xjisawoHaBIkYXVTxUhiYNJRqNotfrCcVCPPXDUyyvXE6CKYHfTfpdtzMKkiRRX1+PTqfrMpU/GrDoLUzN70y3BhiTOYZvrviGLc4t2Aw2Ts49ucNUe1SM8ubWN9nk3ES/pH78euyvSTB2bnb2JFR58Ln4I370KMFCEASSrEmkpaWp7Cav16tSkg82EDsa2N64nfuW3YfT72Rc5jiemvGUuoE5nFmZQyHblt1BFTccC5Ntz+72+YFYoEO1IV6K7As212zmydVPEiDApNxJnDXwLL7Z/w2xQAxkuHrw1QgRAUmvZBmugIv3d71Pc6CZyXmTeeX0V/j7tr9T7anm8iGXs6l+EyXNJep80V9O/Qvp1nT8UT+Dkgd1a/FwpGhtbcXv93eZmYRCIaqqqsjOziY19eioMv/cOC7k60HZVR0qA6murqaoqKOCrtvtxuVykZube1QMjfbt20f//v07/ft3Vd/x0oaX8Ef9TMufxq9G/wqzwUxrqJVLP7u0g4GP0+fk+VnPdyshH1+EtVotGRkZ3S40D618iKUVS0kxpxCMBYlKUd49913yE/JZXbOau769S0njBR1NgSZ+OeyX3HHiHYe8xqgY5Z5l9/B99fdoBA1pljT+fPKfsUgWJEnipZKXWFKzhERTIhExgiiJfHjhhx1KVfBjw9dutx+3u6s7l9zJ1/u+VtluxUnFzLtkXofGcl+m37/Z/w13LLmDqBhFEAQybZl8delXXTKy4uKAPp+PUCjUpSYWKMOUb2x9A1EWuWb4NT1mDo3+Rk774DRCYgiTzkQgGmBk+kj+fdG/ezTGiltHJ5oS+1x6C0QDXPvVtexp2YNG0GDRW3j33Hfpl9Svy+fvb93P5Z9frsioaI14wh4uGHQBj015rNtjVHuq+fvWv9MSamFY0jDe2vYWWr0Wi95CW7iNmQUzOXvA2Th9TgoTChmaOBSfz4ff7ycoBbl73d00R5oxaAxEpAi3j729w2BiOBZmeeVyWkOtDE8f3it7hyNFW1sbHo+H3NzcTll7OBymqqqKzMxMMjIOz7nzGOGIdj3/NQFFkiTKy8tVPZv2fvO5ublHbfq6u4DS3sOgfb/EE/Zw4acXkmHJQKvRKsNjficvn/6y2nje3ridT0s/VeYois8lPZbeYRFuCjTRHGwm25bdYcJ86rtTSTQlqjvuRn8jD0x6gLP7nw3AR7s/4tXNrxIRI5xVfBb3TLin1wwcSZbY17qPcCzMgOQBajYliiIT35mIVtYqQ5MaDa2RVn5/8u9VaYqYFGP+3vnsrtnNmNwxnD7o9ONmYKw92kJtnPSPk7DpbWgEjVqefOuct9SMK76j763VLSgloOWVy0kwJnDx4It7LG/GEdfE8nq9+P1+9Ho9drudUm8p1359LZIsqUSMv57x126pxYvLF/PbJb9Vy6CyLOONeFl95Wq8zV6VUtseJa4Sblp4Ey3BFnQaHc/OeJbT+p3Wq2uNIyJGWFe3jnAszOjM0Ye85o31G5n7w1xag61ML5zOvRPu7TZjb/A3cPnnl+MNK4KczUGldBiXf5FkieZgMz9c/UOH7DOOr/Z8xWPfP0ayIVmRfkdEFESW/9/yn+172ZtgkpGRcUTeS8cI//1+KL1BewaWKIrU1tZiMBjIz88/6l+agx3TugsmAA6jg3P7n8u8vfMwao1EpAhjMsYwIGkAADsad3DXt3ehFbRIksTSsqU8Pf1pJicrsifz9s7jhQ0voEHxb39qxlOMzhgNKPayYTGMRWNRp7bb140vP+Fy1dK3r/dAI2gYmDyw079rtVocJgeBaACjzqiaAPlaFX68xWrhge8fYEXlCjRaDR9VfMQB/4FOMwmtoVZiUkxp/Pfx3MKxMC2hFlLNqV0OnbkCLnwRH7mO3E6+Ge0R14SKL9SCIHT4ucSn3yPWCJubN9NP7NdjKSeOcVnj+swiO1gTK071fmPDG4QjYaXhrdEQiAV4a9tb3QYUu76j5bAoiwiyQKurlaL8ok59G0mW1GBiN9gJx8LcvfRuFqYt7FHOpdpTzWbnZmwGG6fknYJBa+CUvO7ZbPW+ejXjnV4wnXFZ4/js4s96dW9WVa3CHXaTbEwmFo0RM8Wo8dZ0sFU2aU0dqO1toTYW7l+oMAdlEZ1Wh8lkUmR2oiGC4SDl5eWqhltv5WCOBtxuN263m7y8vE7BJC5Mm56efjwGkyPGcRNQervoxD+QlJSUY0Kviweu+Pn0FEzi+M2Jv2FQyiB2u3aT78jnvAHnqTupL8u+RCNoSDQkEg6HwQTfVH/D5H6TqfHU8ML6F9QyhC/i48EVD/LFpV+g0+i4e/zdPLTyITxhD6D0cg6eJD4WO7AHJj7APcvvwR/xIwgCQ9KG8IuTfoEgCqzet5qVlStJNCai0+mQBZnXt7zONcOvwWqwIkoiD658kPn75iMgMD57PC+c9oIaCCVZ4sNdH7KschmpllRuG3tbB2fAFZUruHPJnUSkCDa9jdfOek0NsLIs8+QPT/KPHf9AK2jJtmXz7nnvdhsEkkxJykBmxTJVIqQgoYCR6SNV1eOFzQt5cfGLqmLz86c+30EW5lgh7ptht9vRahVl6LjBUjgUxu/3d2kgNj5nPOOzx7Omdo1qAX3DwBvoV9CvS4p8c7BZDSagECAC0QD7W/d3G1A21W/ixq9vJCbFkJEZkTaCf5z7j25LZQdaD/DLL36JN+oFGV60vMhHF3zUo1xMe8gov7FYNKbck5gds95Mo78RBGVDcP+k+9V70RZq46ovr1IVBwQEdBql7GvSmvBH/Vw94mqKioo6abjFZ4mOlSaWx+Ohra2t22BSVVVFamoqWVlZx+T4PzeOm4DSG0iSpDaxelue6Cvam9nEndPiAaa7xVsjaDiz+EzOLD6z8/shEI1GCcthzGYzwVBQ3Wk5/U4EQVB/qDaDjQZ/A22hNlItqUwrmMYbZ7/Bzqad2Aw2ZhTM6PJHLcsyH5d8zPu73kcjaJg9arZaFjsczCyayT9t/2Rj/UYcRgdn9DtDqWW3teGL+DAZTRgNRkUVICYSjUapa6qjIK2Af+/9N1+VfUWiKREBgR9qf+AvG/7C7yb9DkChW299DZ2gaC6trFrJl5d+SZoljaZAE79Z8huQwaa3EYgGmL1gNt9f/T0mnYmlFUt5Z8c7WPQWtIKWKk8Vdy+7m3+d/68ur0MQBF6Y9QIvb3yZTc5NFCUUMWfCHML+MG1tbUTtUV5c9CImrQmtRktEjDBn6Rym5k/tklnXW6yoXMHG+o1k2bK4ePDFPeqPXTP8GhYdWIQ/pgRvnU7HjaNuVAdzjUajughqtcqA55tnv8mCfQsod5WTb8jn/NHnd7v7TjAmoNfoVbFJUVKUHLpTLgZ4aNVDiuGWUfHx2Na4jQX7FnDhoM76YKAoNPujfpJNSgm3OdDMW9vfUj/zrhARI+xo3KF4zzuGYdFY8EpewpEwYTHMg5MeJM2ahivgYlTGKIalDWN55XJiUowqdxV1vjr1GrwRLwmGBEZkjMAVcDEtfxqXn3B5Jw23g+0N4s6fB9sbHC48Hg8tLS1dBpNoNEpVVRUpKSlkZx86C+4N6uvruffee2lubkYQBC677DKuueYaXnrpJT7++GO1pH7XXXcxdWrXpJajjf+agNLS0kI0GmXgwIHHlI6p0WiIxqJ8c+AbdjbuJNeey4WDLzwsUUJZlpmcMplvyr7Bj59AKIAoiSpFNseeg4xMKBZS6Y0Oo6PDgOHglMHdekLE8WXZlzy95ml16vyhVQ9h09u6FKLsLYalDVMbl3FacDgcZuoJU7HvtuOOuLHoLPhlP8MyhpFiUWS2V5atRJZkkEHQCJh1ZrY4t6jv+86Od7DqraphkTvsZlXVKi4efDGV7kqQUe+1RW8hEA1Q76unKLGIspYyolIUm2BTH9/dtLvH6zDpTNw94W717+bmZrwBL/n5+fxQ+wM6jU7NJg1aA4FogOZgM7n63vupt8cbW97g2XXPEhNjaDVaPi39lA8v/LDb3f3ozNG8d957vLX9LWJSjKuHX61moXEDMa/Xq5oyxSV2pqRNYbRpdJc1+vYwaA08O/NZ5nw7h0BM+f7dNPomtT/RFVwBl/oZCIKAKIm0hlp7fH57AyqtRosr4Or2+Z6wh+sXXE95azmiJJJhyuDVs1/l0z2f0hpq5dTCUzl/4Pkd+pT/9+X/Ue4uR0AgFAuh4cdr1mv0SEjMndbzHFVX9gZutxun09kpcPcVXq9XDSYHvz4eTJKSksjJOTx5/66g1Wq5//77GTpUIShcfPHFnHyy8t259tprueGGG47asXqL4z6gxAfNRFHEaDT2afK9tyh1lbK3ZS8p5hRyyOHljS/z5f4vMelMRMQI6+vX8+zMZ3us1x+MuH7SkJQhvHLWK3xR9gWyLHPegPMYmTESgCxbFg9MfICn1zyNJ+LBorPw5LQnu2w89oSvyr7CqDWqZaWIGOGbA9+oASUuRrm/bT85thymFUzrtRFS/P5rNBqV+vjWOW/x8KqHqfZUMzVvKo+c8gjJlmSSk5IZ2TCS7xu+V72x/VE/edY8NevraSeYYc0gJsWUUo5GR0SMgIA6z5CfkK8sHv/R+QrGgr1m67Sffo/PAxQnFSPJEmExjFGrlIKsButhU0hFSeRP6/6ESWtCp9epsjqra1YzvWB6t68bmzW2wzBnHO0NxNoLLlZXVxOLxUhMTFTZYz3d11lFs/jmim/Y17qPTFtml72z9piUO4nF5YtVORudVqeWHbvCqYWnsrVxKwbRoJSvZIkZhTO6ff4bW9+grLkMh8GBJEo4w06+2vcVf5z6xy6f/8GuD9jXuo90i/K51PvqaQu3kRBWNLrcYXe32VN3ONje4ODA3b40dqjsJS4u2lUwibNTExISjmowAUhPTyc9XbknNpuNfv360dDQcFSP0VccNwGlqw8tPhtgtVrJysqivLxcGcY7is21r/d9zZOrn1R9p0cljmKLaws5jhz0OkVra0fTDspaylT9qnAsTFmrIsMyKHlQp8ZxnIaanJxMQkICaaQxPH14l8c/rd9pTMiZQFuojXRr+mFlQnaDvYM2U0yKdZD4eGXTK7y57U11kPGc/ufw2JTHDvlDiZMfDh70K04q7tZf+7qR17G6ZjW7XUrmkOfI48bBN1JRUYHBYOCy/pfxj5J/oNfoiUkxEk2J6oxJniOPuyfczZ/W/kllzD057Un1Ws4sPpNvy79l4f6FaDVakkxJPDvj2UPen+6m37NsWTx/6vPMWars3q0GK2+e/WanbEKURPxRP3aDvcd7FpWixKQYFp0S2ONl0kA0cMhz7A10Oh3RaBSTyURmZiaBQKCDgZjdbu9ESY4j257dK8IBwGNTHiMUC7GqahVmvZk/TvkjozO7DyhXj7iallALH+7+EK2g5bcn/Zazi7svuZa3laNBgyRKyjR81EB5W3m3z6/316MTflyqEowJZNmySDGn4I/6uXjwxdw8+uZuX38oHBy44zI7TU1NRCIRtTTWVU8r/rzugklVVRV2u/2QmeSRoqamhpKSEkaOHMnmzZt5//33mTdvHsOGDeP+++//yYQmjxvacLwhGUcoFFKnfeM6RJWVlWRnZx+1kpcoicz61yxsehtGnWIWVOOtIRqLkmvJVZp9eh0t4Raem/Ucw9OH4w67uevbu6h0V6pOjX+a+SfVGyXul94dDbWirYKS5hIcRgfjs8d3suF9dfOrhMUwZ/c/mztPvFMNVrIs833N9+xt3kuOPYdZRbPUTKbEVcINC25QF64EYwL/PO+fFCQU0BpqZeb7M3EYHWrjuS3Uxr8v+rc6V7LFuYUXN76IL+Lj/IHn84uhv0CMKTMmKSkpvVJqbo+oGFWlLU5IPQGz3qzuAt0eNx+VfMSahjVk2jO5Y/wdFCYXdnj9gdYD1PpqKUoo6tCwj9+HstYyfBEfA5MH9igZAp2VdrtCKBaiJdhCmiWt0+bgo90f8fCqh4lKUQanDObvZ/+dLFv3DdVrvrqG1TWrMWvNhMUwZr2ZRVcs6nWDujvIskxDgyIhcrDkeXubXr/fj06nU5lNR9J8FiURjdBzVtlbxKQYdd46LHoLH2z9gFe3vUqaTfFObwm1cNOom1QF6YOxcP9Cfrf8dySaEtEICq34mhHXHNPp9jgkSSIQCODz+QgEAhgMBjV7CYfDNDY2kpeX16lyEs9MrFYr+fn5xzSY+P1+rrrqKm655RZOO+00XC4XSUlJSg/xhRdobGzkySd7LUj6/8YcSvuA0p1ScJy7fSQDjE2BJvY27yXBmKAYT31wRocGZZO/iYKEAio9ldgNdjxBD6nGVB4b+xipCam8u+9dvtr/Fdl2ZXq4zlfHVcOu4oZRN+DxeNhcsZn3q96nIdjA6IzR3DX+LnUy+4eaH/jdit8hSiIyMhNyJvDU9KfQaXSsrV3Lb5f8lgRTgspYuW7Edaqk+KubFP+JeCYVF+iL/9jL28r5tvxblSAQ343WeGq44JMLSDQlqtfoDrt586w3GZkxkj3Ne/jFF79AlhXNpVAsxK9H/5pZybP6NJvRV8Qnyn0+H5IkqRPlRqPxiBawA60H+LjkY0RZ5Lzi87CH7Iecfu8O2xu3c8lnl6AX9Og0OrxRL6MyRvVIh/VGvDy88mHW1K4hw5rBE9OeOOIhupgYY+O+jVgMFoYVDDvk4vThjg+Zu2YugWiAkzNO5rFJj5GRnNHtvZVkiYX7F1LjqWFQyiCm5k89quzBel89s7+eTY2nhqgY5dz8c5ENMt+UfwPAjIIZPDX9qU4zVMFoEJ1Gh06j47Utr/HG1jeQZIkzi8/kkcmP9Fn1+Eghy7JqzuZ2u4lEIqrwZvt7GxflNJvNh6Up2BdEo1FuueUWJk+ezHXXXdfp8ZqaGm655Rbmz5/f27f8f2MOJS4O6XK58Pl8XSoFH6kN8I7GHfxm0W/UOv3pxadzQuoJ7GraRZolDX/Uj0Fn4LEpj7Fg/wK2N25nYs5ELhx0ocIEkrXsbdyLEBMIhULo9DpMWhMV7gpcLhd1rXU8W/IsETGC3WBneeVyPGEPz896HoAnf3gSs86syHnLMmtr17Kubh0n557Mutp1Sur9n5JXgjGBlVUruWXMLXgjXt7Z8Q7J5mTFkU6M8uXeL0kwJnB2/7MZlTGKosQiZo+e3emaM22Z5NhzqPZU4zA6FEaMMUHNTr6t+JZwLPyjiZMMH+z4gGt/ca0auGu9tWxxbsGitzA5b/JRETnU6/WdTK7i0t49lRh6wp7mPVzy2SX4I35kZN7Z+g5vn/V2B72ovmBH4w4kWUKvU7IWm97G1oatneaU2sNusKuf99GAK+Diik+uoMpXhaAROKv4LP4080/d9tk21G3gDz/8AYPWQII5gTVNa3hu23PcO+JewuEwFoulg5qvLMv8dslvWVy+WFXBnj1qNr8d3/3uPxQL8dLGl9hYv5F8Rz53T7i7R9bYgysfpNJdqXjQo2N+zXxenPUiD5z8ADIyicbEDvczEA1w3/L7WFG5AkEQmD1yNreNu42bRt+EKIk/iyEWKGuU0aiwGz0eD4WFhYTDYVVF+Msvv2TIkCEUFBSQkJBwzIOJLMv8/ve/p1+/fh2CSWNjo9pb+fbbbxkwYMAxO4eDcdwElHhpQqPRUFhY2OUPVqvVHlFAeXTVoyBAiiUFSZb4Zt83PHjyg5h1ZrY2biXTmskDkx4gLyGPW8bcgiRLPLPmGW76+iYEQaB/Un/G5o6lxFOCoBUIh8O0+dtIl9OVtNjkIxgLqs3DLGsWm52bCUQDmHVm2kJtpFmVhTuuKRSfMUmxpHQw4QrGguo0cjCq+JhoBS2iLFLSXKIGmU9LP2XutLndzk7oNDr+dubfeHDlg+x27WZQ8iAen/q4Wioyan/c5YmiSCQaITMpUw0mWxq2MHvBbKJSFBmZ4WnDeevst47q7rC9yVW8xODxeGhoaFAH02w22yF/nG9ufZNANIDD6CAWixGSQvx91985uahnF8DukGHNQMOPc0lhUQm8P9X0tSRJ3LPwHsq95SSYEpCRmb9vPhNyJqj+OAdjfd16hQln+JEJt7ZhLTk5OV2q+dZGa/m2/FscBofK6Hpj6xtcP+r6LjXPAO5Zeg9LK5Zi1BnZ2biTLQ1b+OKSL9Sy78HY3bQbk8aEJEmYDWb8QT/7W/d327h/bt1zLK9YTopZ+U28sfUNBiQP4IziM9Boj90C3RsEg0GcTqfq3mkymVRztvHjx7Nw4ULeeOMN8vPzmT59OtOmTTtm0iqbNm3iiy++YODAgZx//vmAQhGeP38+paWlAOTk5PDYY91L3hxtHDcBJb4z7UkTqi+e712h3levMIbkH6enY3KMP5/6Z/U58Yl0jaBh8YHFzN83n0xbJgICZS1l5NpzmV44nVVVq4iJMax6Kz80/YAz4mRkwkhC4RARfQS9Xhmk02q0GLQKU2R8znjW1q4l3ZpOMBpEq9EyJEVp9J834Dy+LPuSak81Akqm8psTfwMoysGDUgZR6ipFlEW8ES8mrYlsWzYRMcJTa57qEFDiUhUmnQm7wU6WLYu/n/33Lu/JOf3P4Z3t79DgawAZDHpDh1r2o6seRZRFEozKj2ZbwzYW7F+gUp9Lm0vVntKA5AE8f+rzFCUWdXms3iDuRW6z2ZSp53aDafHegN1u75Lt54/6EVC8S3Q6HbqYrpMooSzLtIRaMGqNh+y/zCicwcyimSytWIpWUKRo/nLqXw772uKIilFcQRcp5pRus724Ttp+337MBrO6AZGR2dm0k8vpOqAkm5NVmRlBEIiIEXWA8WA133A4TEl5CbIkE40p39X2RIKuAoo34mVZ5TJlzkhQDOCaAk1sbdzarX1vjiWH3c27SbGmICGhFbTkOfK6vT9r69ZiM9iUuZz/NOM3Ozf/JAOnPSHeH+3KClqSJHJycrj55pspLi6murqaFStW8Prrr/PQQw8dk/MZN24ce/bs6fTvP9XMSVc4bgKK2Ww+JHvrSEteIzNGss25jVRLKmExrGYdcXy972v+vO7PBGNBpuZPJdWS2sEt0G60s7dlL++f/z6N3kZu//p2qgJVNMeaqXJWUROqYXyOMsUsiRKyIHN64emsrlrNiTkn8tDkh3j8e0WZ2KA1YDPYuHnhzYzNGst9E+/j7bPfZnXtaiKxCGOzxqrNX0EQeP7U53lqzVN8W/EtRq2R4qRitIIWvaajkmtbqI1fL/q1Kkd/1bCrmDN+Tre76gxrBi+e/CJf3qyoCgAAYsxJREFUlH8BBjij+IwOysLx6eP4eUhItAQVv3VvxMv186/HG/HiMDrY37qf6xdcz6IrFh2VstjBg2mRSASv10ttbS2yLKszGfFs6uyCs1m0bxExTQxJlJCQuHzIjwuvJ+zhxgU3srlhM8hwzYhrePDkB3scWH3l9FfYULeB1lArI9JH9Jop1R021G1g9tezCcaCGLQGXj3jVSbnTe7wnDi7MTk5mSHpQ1hWsQyj1qgECYQeab8XDLyAD3Z/oJrB6TV6/jDlD52eF2c2je83noT1CbSF2jBhwhfxkWfNAx8ENIFOlGStoFUcNv9jlBVXIW4/F9IeTU1N3D3ybu7bcB+esAdRFjmr/1k9aonl2HKo8SjS8/EN3pHe9yNFKBSivr6e3NzcLoNJvLpSXFyMRqOhoKCAa6655mc6258Px01TPt7w6gnNzc1oNJpem9AEo0H2te7DpDPRP6k/jf5G7v72bspayhRpkwl3q06K2xq2ccs3t6j+043+RgYkDeBA2wGy7Yose4O/gan5U7lv7H1sK9/GPZvuId2a/mP/J+DijbPeoMZbw/7W/by/833CsTCiKJJlyeLFGS+Sm5qLJ+rh0s8vJRQLYdVbaQu3MS5zHK+e+ap67lXuKtbVrcOkMzGtYJpKnS1vK+eyzy5TlVzdYTfnDjiXJ6Y9ASjliG8OfEOyKVlhdIXb+NPMP3F6v9M73Z/4D8FsNpOSktLlwnr30rtZuH8hSaYkYlKMQDTAW+e8xbiscWxt2Mq1X13bodThi/iYd8k8NUtxBVx8WvopnoiHmYUzGZM5plef3aEQp3Z6vV41I4lGo2yPbOe1ra8hyiLXj7henZgGRXn4q7KvsOltSEgEY0Gem/kc5w0876ic06Hgj/iZ9M9JhGMK+ysUC6EVtHx39XfqMOvBysdOn5Mr511JQ6ABSZaYnDuZV894tcc+QjgWZlnlMvxRPydlnUR+Qs/2vvta93H/svup9FQyPG04c6fOxYoVn89HMBjspIf18MqH+aT0E7QaLaIkMjB5IB9d+FGHMmh8GDbunR6IBihrLcNmsFGcWNxj2bCirYKrv7oab8SLjMyg5EG8fc7bPTpEHksc7GXfHvHfEED//v1/Mr2wY4j/N5ryvUFfSl5On5Nbvr6FxkAjoixycu7JzJ06l7+f9XcCotLTaE/Z3dW0C0mS1KZ4sjmZxkAj0wun8131d2jQkGfP49qB19LU1ERuTi7CZkHdqYGiSWTUGTm16FS+r/memBwj056pns8nZZ9wefRy1jWswxfykWpVhBPTzGlscm7CH/FjNVjZ3ridWxbeQjgWBgHytuXxzrnvqMy0v57xV5744QnaQm1cOOhC7p94v3odWxq2YNMr5YK4X8rOxp1qQPFFfPx101/Z3bSbXH0uvz7p16SmdO/F8MgpjxCIBlhVtQqTzsTDpzysCiMmGhMRZVEtEcbtjeOKya6Aiws/vZAGvzJs9Y/t/+CFWS9watGp6vvLskxjoBGD1tCjBfHBiDsoJiYm4nK58Hq9GI1GRjCCt6a+1WVTf2P9RoxahY2jRenHbW7YfEQBZVfTLl7a+BK+iI+LB1/MBQMv6HaxrPHWEBEjqqyLSWciLIapcFeQZEoiEolQU1PTgV2Xactk4RUL2dO8B5POxIDkAYccSjXqjF3KAHWH/kn9+eTiTzr9e3zo72A9rN8M+w3FCcVsadpCQUIBN4y8oVMw+bbkWyrdlYwqGEW2kI3VYGVUxqhenU9hYiFfXPoFWxu2YtAaODHrxJ/U7bI9wuEwdXV15OTkdBlM6urqkGWZAQMG/L8QTI4Yx01A6U2jU6vVHjKLiePZNc9S768nzZKGJEmsrFzJgn0LuGDQBdi1nX29E0wJaqYhCALBaJBsezZ/nPJHKt2VhGIh1uxfwwsbX6B/Rn9+mfFLphVMY2n5Ugw6A5FYhEm5kyhIKACUfk37hrdBa8Atu8nPz8epdSJtlwiHw0rJQKMEpfiP5rl1zyHLsjqxXeWu4su9X3LVcMUK+MTsE5l3ybwur7swoZAN9RuUuRpZkUApSFTOSZREbvr6JrY1bEOQBdYL66mJ1fDWOW91u0jZDXb+esZfu5xJKEws5MoTruSD3R+oStC3jr1VJRN8WfYljf5GVeMpEA3w7Npn1YDiCXu4eeHNbGnYAjJcNPgiHp/6eJ+m+OPT73EiR3uZ+HjjOV4aK0gowOl3YtAa1M8539F59x6TYmgF7SG/k2UtZVz2+WUEY0G0gpZ1desIxUJcOfTKLp+fbk1HRiYqRtFr9WoAzrRm9miMZdKZVHWFowFREtnbshdRFrsczG2PrsqOPp+P6cnTmZIwBZvNhl7Sq/dTlmXmLp/Lu3veVRbYHXDz6JvVfmBXaAo0cd+y+9jSsIUMawZPTn+S0Rmje1QX+CkQ/0xycnI6jSrEPY1EUWTgwIH/Cyb/wXETUHqDvvRQDrQdwKazqXVnjaCh0lPZ7fNnFc3ii71fsLNpp7q43zfxPnXReXrF0/x7/7+xGC2sda1lRdUK3jrnLUamj6S0uZR+if0YkzmGElcJxUnFTMiewFbnVlVfKyJFODHrRECR2piYO5E1tWsAkGMy1w26jurKaiwWCy6/C4Pux92QIAg9aim1x8OTH+aa+dfgDruRJIlJuZM4f4DCANnftp+dTTuxaqwdWFzVnmo1EIqSyPbG7YRiIYamDVWzje5oqg9MeoDpBdOp8lRRnFTcQdY9FAt1cO7TaXQEY0H177k/zGWTcxMOgwMZmU9LP2VUxihVkr8ndDf93l4mPt54jsuV3Nr/VkoaSxRHQWTGZI7hF0N/ob5nU6CJWxbewkbnRmx6G09Of5LzBnSfvczbO69D8zoUC/H61te7DShJpiQeO+UxRXwRCVES+d2k35GoTex24eoNtjVsY33dehJMCZw34Lwe1RaC0SDXL7he2VQIAkWJRbx33nsd5pR6gsFg6ED39vv9tLS0EA4r4qd13jre3fMuDpNDLYm9tuU1Lh1yabcDobctuo2dTTtxGBw4fU5mL5jN/MvmH/Ew6JEgEon0GEycTiexWOx/mclBOK4CSnyH09PjvQ0ow9KG8c3+bzBqjUhISLLUQWRxt2s3T6x+QrVR/d3Jv+Pl019mXd06/FE/I9KUBmw0GqW6ppp5FfPIdGSqZbI6Xx1bnFu4dMilxKQY9y+/nxc3vogGDRm2DF45/RXqffV8VfYVgiBw9bCr1cVJq9Hy3KnPsaR8CY3+RoakDmF8znhF+8rvZ0LaBD4q+wjJpDT2Q9EQnrCH5ZXLmZo/tccdfH5CPl9e+iUlrhJMOhPD0oapz/d5fcRiMQwWQ5f3OiJGuOnrm9jk3IRG0OAwOHjv/PfUYNPdZzIxdyITmdjpsWkF03h186v4I35laFIM8cthv1Qf3+Lcopag4mXDLc4takARJZG3t7/N99Xfk2vP5fYTbyfDmtGr6ff4ucUlNVJTU8mJ5vBZymdsrNmIDh3j88ZDDGStsru+bdFtbHZuxq63E5WizPl2DsWJxQxNG9r1+x9GufmyEy5jQs4Eyt3l5NnzyDRmqs3ew5lqX7BvAXd9exdRUWFp/XPHP/nkok+6DSqvbXmNTfWbsBuVLH1vy16eXfus2oPrC7RaLQ6HA4fDoX4mrcFWRVYlJoFW2QTqNDraQm1dBhRvxMvOpp3qLIrNYMMX8bGzaefPFlDipcfs7Owug0lDQwORSISBAwceE23B/2b8V92N3s6hyLLMHePuoMpdRWlzKbIsc+mQSzmtSGGWNAWa+PU3vyYqRbHqrSyvXI434uWvZ/y1g4lQvBmXmpaqCBsetIDEDZzml81nReUKdUahzlvHc+ue48+n/pl7J96LP+rnpY0vcfGnF5OfkM89E+4hx57DWf3P6vB+cVG6+6bdh8Fi4Mu9X9ISbCEQDfD+jvf5cNeHnDfwPJ6Y9kSP5Ri7wc5J2Sd1uB8tLS0kyUmMyR7DloYtGDQGolKU8TnjVQrnZ6Wfsb5uvUoJbQm18MiqR/jHuf845D3vCieknsBrZ77GM2uewRv1cl7/8zpQkvsl9qPCXaGyeYAONsOPfveoqg8lyiIrq1by1aVf4W50k5CQ0Ofpd71eT2FmIYWZheowZXwozWw2s652HVaDVbUUCEQDbGnY0m1AuXDQhby9/W28Ea8atG8ZfcshzyM/IZ/8hHxVSr0rGmpv8eh3j6ITdFhNChV4b8teFh1YxPkDz+/y+Xua93QQ6dRr9Oxp7kw9bY8aTw1/3fRXmkPNnFZ0GhcNuqiT9Etcan/ikIkkbk3EHXJjESy0hlqx6+3YYopUycFii2adGa1GS0yKodfqVVZXdzMwxxrxYJKVldXJRlmSJNUldtCgQf8LJl3gv+qO9KbkFfcwSTAm8MZZb9AYaMSoNXbw/N7t2k1YDKv/lmZJY2P9RoLRoNow3VC5geX7lpOblsvZOWdzwaAL+LT0U6x6K6FYiGRzsspYKneXd/BLsRqs7G/bDyg0yweWP8Da2rXYDXaqvdWULCjhk4s+UZlboViItbVrCYthxmSOIc2Sxr0T7+XmMTcz5d0p5Fpy0aDI6s8rncfpaaczImeEUr/WK7X4qBjt0sMj/mOXJInCgkJez3md17a8RomrhGFpw5g9ara6GFZ6KhWSwX+uw6wzU+2pVt8rKkb507o/sWDfAqx6K/dPuv+Qde5JuZOYd+m8Lh97+JSH2eXaRUuwBQmJMZlj+L9hig94TIrx4e4PsRqsKrmgKdDEF1u+4KLhF2G3d+6D9QVdDVMm6BPwhr0YdT9mTanm7gkLxUnFfHLRJ7y6+VV8UR8XDbqIc/qf06vjt/fOaL8wNQebeWHDC5S3lXNS1kncMuaWHnsc8Zkk+DHD90a83T5/ePpwllYsVQN4VIp2K1wKiu30JZ9dQluoDa1Gy6qqVbgCLm4eo4gxxkuPer2e1NRUVY36jsV3UOmupDCpkOdmPIfdaFfFFq1Wqzqtr9Po+N3E3/HED08gRRUb5KkFU7tUXz7WiDPsuupjSZJEU1MTgUDgf8GkBxxXd+VIS16iKKrOivGp6q7SbKve2sFGNSpF0Wl0arN24e6F/H717xG0AkKlwMd7Puatc94iw5LBD7U/kGnN5Fdjf6XWnQclD1J3VgICvoiPSTmTAPBEPKyrW6dmL2a9mdZQK7ubdjM+Zzz+iJ/rF1zPvtZ9CCiDYm+f8zbFScX4I340gkYtsxkNRsyYMTqMKsPk3/v/zdtlisbXxNyJPH/q82rfoytasEVv6VZUb2T6SHVaWiModrTTCqapj/9p3Z8UgyudBU/Yw+2Lbuf9898/7IZxli2LhZcvZJdrF3qtnhFpIzr1auJZoSRJxMQYCYkJRxxMDkZ8mPIvZ/yFmxfeTFSKIkkSI5NGMlg3mNbW1m6HKYekDuHF017s0/Hcbrfq6te+/h6Khbj888spbytHp9GxpnYNe1r28PLpL3f7XqcWnso3B77BorOo3+P22enBuGHkDWx2bub7mu8REBiTOYY54+d0+/xllctwh93qdz0iRvj7tr9z85ibFS27ujoMBgNpaWnqawanDGbRlYtU9l8ciYmJnZQQjEYjZ+WdxYCzB1DSUkKaJY1ZRbN6Tcw4WohGo1RXV3cZTABcLhd+v59BgwYdUz+m/3YcVwHlUOiu5NUbm972GJ0xWrVRlWRF0v2e8fegETQ4nU5e2foKNpMNm1GZpK72VrO0YinXjryWa0deCygzBU6fkzRLGmcWn6nIT+z9AkEQGJwyWDV10mv0CAjKcQStGnjijK5PSj9hT/Me1Xu9NdTKM2uf4bUzXyPDmkGOPYcqdxUJxgR8UR82vY0TMk7AYXRQEijhH/v+gVVnBQm+r/yeB5Y8wJ9P/TNarZba2to+CSOe3u90rmu6jn9s/wcCAqMzRvPQ5B+nfL/e/zUWnQWD1oBBa6Al1MJ31d91CChra9dS1lpGnj2vVyKDVoO1ywVQp9Fx2ZDL+LjkYzRoiMQiZNozmVHcUa6jvK2cKk8VhQmFPfZ6eoPpBdNZePlCtjRsIdGYyPSC6Ygxscdhyr6ipaUFn8/XpavfJucmarw1P24IZIlvDnyjGq91haemP4VW0LK8ajnplnT+OPWPnQYfD7QeYJdrF+mWdE7KPok3znqDWm8t4v/X3pkH2FT/b/w559x19v3OxphhyBbKkogQKolSJCGUSAlttKj0bSPZflrkK5J8la0iLUTKnrKVndln7p25c/f9LL8/Tufj3pl7x2A2nNd/3DvnnnvnznnO5/15v59H4NAoqlGVF29pcFFCmtaXxEStViMhIfgqLthxJfFWapRiOYyOhNPhRJwnDj2ixK4x1sfWWkRvMKSVSXJyclAxKS0thc1mk8WkGlxVghJshXKpYgKIm+Jz75iLbTnbYHQa0TKhJW5MvBH5+WKXFUuzUOLCF0cQhIBMi3Un1uHdPe8CAHRhOiy+czFe7vYyxncYDw/rwbHSY5i9ZzZiNbEY1XYURrQZgZVHV4KmaPACjw7JHUiZQe/QB5y3RqFBib2EnOend3+K6dun4+/Sv5EZk4l3bn+HXFwOGw6DEzioVeLFLVoRjUNlh2AwGOB0OhEREYF9hn3Y8dcORGuiMbrt6Cqt1ymKwvO3PI+JN02El/MiVhMb8HlGKCNgcVuIGFKgEK68MNS48MBCfPTnR+TO9IEbHgiau1KVuaI/s3rMgk6tw/bz29EsqRmeveXZgAvryqMr8Z9d/yHdRLN6zArpcVVdmsY2DdjHYVQM4uPjER8fT4Ypc4tywfAMEZeqAq7W/LMGH/35EQQIGN50OAakD7jkbAyhivniCFUEFvRbEPLx7898j2nbponHEQQMzB6IOb3nVIoFCEWvjF74YP8HMLvNUNAKcAKHiTdNDFj5XirfnfoOL//6MjiBQ2JYIj69+1NkZ2aTALGSkhJwHEccqDUaTa35p0muBElJSUGdtUtLS2GxWNCiRYs6FbmrlQYzKQ+Iv1yO46p8zpkzZ9CsmWiXUt3M94shtQhK2R/z9s/DF8e+QLQ6Gl7eCx/nw4qBK3BD/A04YTyBR755BJGqSHKX3iS6Cb6+/2sAwKpjqzB772yykZygTcCa+9bgQNEBHCk9gkZRjXB/i/tJF84vOb/g2a3PIlodDYZmYHAYcGv6rXis/WO4OeXmKu8e155Yi9d2vkYu/BaPBc1jmmP2TbORnJyMjac24o3db4h3mJQ4rLnxgY1k2PJS2Zm3E0/+8CS8nBcURSE1MhXrh6xHrCYW5a5y3Pr5rQhThIGhGfACD6fPiU1DN5EL9E/nfsKMHTNg8VhwS+otWNhvYcDeVkUsFgtMJhPS09MrlZtK7CXo+UVPqBgVcWBmeRa7Ru8iczAXw8f58HvB73D5XOiY0vGiSY1nTWcxdtNY5FhyEKmKxJwec9Auqh1JTZSmySWx+O70d5i6dar4XeA5MdGxz/sY0nJI0OO7WTcGrBmAHEsOuXj3z+qPxf0XV+v9VIQXeLT9VLxxUTEq8AIPN+vGF/d+gU6pnap9nBxzDhb+sRBlrjL0bdIXPaJ7IDIikvju+TgfDpYchJt1o72ufZUtyOdM53Dv2nuhosVVrs1rQ3J4MrY+vDXg71dqSbbb7SE/3ytFyixJSkpCeHhlY0uj0QiTyYTmzZtX2qC/XELlwJvNZkydOpW0Ks+fP7/OQrEqcP1MyvtTU2LidDpRUlISUDt96uanQIHCT+d/QoIyAVM7TyUtx+dM5wKGEGPVsThdfprE1i75awkilZFkcrjMVYZf837FkBuG4K5m4vRyoa0Q5a5yNIlpgl4ZvfB0p6fx4cEP4WSdsHvt2Fu0F3sK96BLahd8dNdHIaOH782+F9+e+haHDIfAUAzUtBoTsieQrqGlfy9FuDocGoXo9Gp0GfHF/i8w/Ibh5O7a6rWi2F6MlIiUi84i9GjcA6sHr8Zv+b8hXBmOe5vfS6bbbV6baKD47x6ItPdj8VgAiO2pk3+eDAWlQJQqCnsL92LyT5PxxaAvgr6W0WiEw+EIGU6kd+jB0Az5bJSMGA1scBiqJSgunwvDNg7DP6X/kK6ur+77KmRHFy/wGPntSBTbixGhjICH82DKjinY8cgOZKZkkmHK0tJSMky57sQ6AIACYqaHl/Ji/an1IQVFo9Dgq/u/wrx985BjyUHn1M4kD0fC5rVh1bFVKHGUoHt69wDXgWDv0c26SfMHTdGgKRqlztKLfj7+NIlpgg/u+IDsyYWHhxMxcbNujPpuFI6VHgMNGhGqCKwevDqkQegp06mAv59IVSQK7YVw+BwBZp3+Lcn+AWJlZWUXNQmtDpKYJCYmBhWT8vJylJeX16iYAKFz4NevX4+uXbti/PjxWLJkCZYsWYLnn3++xl63rrgqBYXnebKSuZK7FYvFQjpt/GujSkaJKZ2nYErnKZV+JjkiWRxKEzgwFAO7z46k8CRyYeMELlDcBATY0i/+YzE+PfQpGJqBmlHjk7s+wdh2Y/HojY9iyLohOGs6i0iVaHmxu3A3Np/ZHLIFVMWosOyeZdhXtA+GcgMyNZlo27Qt2ehleZacC03ToGka0XHRiIuLg81mw/pj6/He4fdEA0yaxoJ+Cy7atdU2qW3QrqDUiFQkhiWKF1xVBBw+B6JUUcR888+SPyEIAtRKUWgj1ZHYV7QvoPxVaCvEhhMbYLKacHvq7eh+Q/eQNwoZ0RmgQcPNuqFRaESzRVoV4GJ7xHAEL+14CXqHHt0bdcebPd4kF601x9fgiOEItAqxXOXwOTB9+3R8N/S7oK9X5iyD3qEnJT41o4aP9+Gfsn+QEpESMEwpmVjCK65+VSoVFAoFOC8XEM0cjHhtPP5z+3+CPub0OXHf2vvEDkIB+OLYF5jRdQbGtR8X9PnhqnBkxWThvOU8IpQR8PKiy0SrhFZVnsOx0mPYlrMNYYowDGo+CEnhSeB5HgUFBYiMjAzw0lvzzxoc0h9CtEp0mjC7zXj9t9exYuCKoMdOCU8BL1z4+3GzbkQoI6r06fIfVgVAhlWlfS3Jnbq64WySk7Pkl1YRk8kEo9GI5s2bB91TuRJC5cBv27YNK1euBAAMHjwYI0eOvCoFpX7DBSpwsS+DtEHo9XoDOrkuFcm4zmq1IiMj45I22jroOmB4q+Ewu80we8ygKRqze88mjw9tORRWrxV2rx3l7nJEqCLIbMth/WEsObQEEaoIRKoixbvcrVMAiHePJfYS0vpLURS545Y4YzqDoeuHovNnnfHY5sdgcBjAUAyaKpqiS0IXtMtuF9A1NKzlMDh9Tjh9Tlg9VoQpw9C7SW9otVrQETQ++PsDqJVqaBgNWJbFU1ueQm5JLnw+3yV/pkpGic8Hfo5WCa3g9DmRGZ2JFQNXkD2POG0ccacFxG4had4FAHItubh7zd2YvWc2Pv3nU4zfOR6HDIdCvl6MJgaf3P0JlLQSTp8TakaNT+/+lAhGka0IwzcOx/Gy47B77Pjm1DeY/NMF+49CWyE4/oL4Kxkliu3FIV8vWh0NmqLh48XPRrookmCyf5FCmOLi4jCm5RiEqcJgZ+0wuUxQQIFHmj4Ct9tdZTdjKH7J+QW5llxEqaIQpY6CmlFjzr45VR5r2T3LkBWTRVaQi/otqjJwbFfBLgxdPxQLDyzEe3vfw6CvB0Fv16OgoABRUVGVjFlzLDliHMS/n6NaoQ5oNa9IO107jGw7Uvxe/utYML/v/Evq6lKr1YiPj0dGRgZx/y0rK8P58+dRUlICh8MR8jOR0hTj4+ODionZbEZZWRmys7NrXEwq4p8DbzQaidAkJibCaDTW6mvXFlfNCkXafI+NjUVBQQFZEkdERFzSslfy4FEoFEhPT7/kUhlFUXjulucwuMVgmN1mZMVkBewDPNXxKcSoY/Bzzs+I08Th6U5Pk43wAltBQBtwhDICerseXs4LFaPCTSk3YUfuDmK6yFAMKcFYPBaM+nYULB4LtEotdhXswrjN47C462JoNVrodLpK72XizRMRpgzDpjObEK2OxpTOU8h+RqFNdEiVSnORikg4vA4YnAZQXrH5Id+bj2UnlsHO2jEoexBGtBlR5efVOLoxNjywIehjvTN6o1NqJxwoOgABAmiKxju3X8i5XvLXEphdZnEviWFg99oxb988fH7v5yFfr1t6N/wx9g8YXUYkaBMC5jUOFB+Aj/ORFYWCVmB77nZSmuyY0hFKRklapH2sD10yuwQc/7PDn2HhHwvBCRxGtx2Nt3q+hZd/fRlezkus8dsmVl6tSXfzbZPb4vuHvsfGUxshQMCApgOQqkolw5SXmkzp5twB/6YpcYXmb1BakUZRjfDT8J/g8rmgUVx8c3v2ntkQICBWKwpHqbMUn+z5BM90fiZoTb9TSies/ns1+RzdrJtYDIVietfpGNx8MEqdpciOzb6iiXiFQkHmiSSnCSlCXK1Wk9ULwzBETOLi4oK2nlssFhgMBmRnZ9da9LWEw+HA5MmT8dJLL1UStisp4dc3V4Wg+HdyxcTEIDY2lpQVCgoKQFEUIiMjERkZWeVqg2VZFBYWBr3TulT8c1T8oSkao24chVE3jqr0WJPoJhAEAT7eByWthM1rQ3pUOqknv9njTTz141M4bDgMmqIxtfNU3JouzrOcKDshlpH+veOPUkXhdNlpuBgXGieKBocmtwlbz28Fy7Po0bgH0iLTMKbdGIxpVzlrOi0yTfQY+1fMPKwHNE2jRVoLRKmjcKrsFCaumwg36wYNGodKDsHisuDJTk9e1pddQSuw/J7l+CX3F5jcJrTXtSftrRzHodhYDJqmyQqLoZlKA3qCIJDgMGklomJUQTvXNAoNaW+lKAqcIEbHSkOS/bP6Y0qnKfhgv2jE2TWta4DAfXv6W7zx+xugIU6VL/pjEWZ0nYFNQzfhhPEEUiNS0TGlY6XPQiqnxMTEIDo6GnGIw7Qu0wKeI+0LVLz4RUZGEov4YNyadivUjBp2rx0qRgUv58VdTe+q1t19sKHXYNh99gt7doL4fjiGC7lBfFfTu/BP2T9YemgpAOCWtFvwSvdXLvo6N8TfEGCFVBNIThNSOJu/jxtFUfD5fCQDviIWiwV6vR7NmjULuqdSk/h8PkyePBkDBw5Ev36ie0d8fDyJ7jUYDFUGDTZkGlSXF8/zlcot1dl89/l8sNlsYt0aYm0yKioqQFwk59CkpKSgS926YsWRFZh/YD4oUIhURWLJ3UvQIr5FwHOsHis0Ck2AZfex0mMYtmHYhel6rxse3oO9Y/YiWh0Ng8OAIeuHiBuugngB+d/g/1U6tj+bTm/CjB0zQEH8XOf2mUs2eT88+CE+2PcBuVN1+9wIZ8LxZa8vyZ01p+BwtPQoVLQKHZI7hGweqAppBuCo8yie3fkscflleRavdn8Vo9qKwmzxWDB201gx0x0CRrYZiddvez2kuHlYD+5fdz+OG4+THPLpXafjsfaPBTyP5Vl4OW+lGv4T3z8hzt38+/8e1oM2SW2waeimkO9FakGNiIlAQkzoCXsJQRCw/MhyrP5nNZSUEo+3fBztosSypXSDVHH1faz0GF7b+RrJ5nml2ysBYnG6/DQ+2PcBjC4j7sm+ByPbjLykG4AF+xfgwz8/hJpRw+MT4xNWDV4VYPrJ8Rz0Dj3ClGGkkcPNuuHlvCHnZaTrTH3cefM8j9zcXJIHz7IswsPD4XK5kJaWRhpzmjVrVuvXBkEQ8OKLLyI6Ohovv/wy+f/33nsPsbGxZFPebDbjhRdeqNVzCcG12+UlCAJYlgVQ9ea7UqkkDqgsy8Jms6G4uBg8z5Plrslkumw315pk9I2jMTB7IMxuM1IjU4Oa+AX7o2yV0Ap9mvTBz+d+hpf1Qq1U44mbniCeR58d+Qx6hx4x6hgA4oT+nL1zsHTA0pDnck/2Peia3hXF9mKkRaYF5JEoaWXgHz8FaNQaZGZmwul04mTJSYz/ZTxsPhtAAW2S2uCLe7+o9p0wcEHkk5OTkRmWCR/jw8I/FoLlWYxqMwoj24wkz53560z8WfIncW/+4tgX6KDrgMEtBgc9tlqhxtr71+Kr41+hxFGCLqldAqb+JRS0IqgQShnuEhw48tkGw+fz4eejP2PmXzNhcBmQEpGCT+/+FDcm3RjyZz478hne2vUWGEpss35+9/NYPXg1boy/MWCYUupoUqvVaJPYBuuGrAt6vEJbIe5bex8cPgcYisHBkoMwuUx4pvMzIc8BEDsXz1vOo0l0EzzV8SmwPIs1x9YgITIBM7rNCBCTEnsJHv3uUeRYc8ALPMa3H49nuzwLjUIT9LvMCzzm7Z+H5UeWQxAEPNL2Ebxwywt1NgkvlR9jY2PJgC/P83A4HFi2bBn27NmDzMxMDBgwANnZ2bV+PqFy4MePH48pU6Zg7dq1SE1Nxfz582v9XGqDBrlCuZxhxWBwHIeSkhLY7XYolUpy11fdbpCGhtlixrpj6+BRedAqqVXAJPpz257DptObiBi5WBeaxjSt5KPlYT1QMsqL/kEX24txz1f3wOqximUiSizJPdjyQQDA498/jh25OxChjADHiTn3E1pPwISbJxARrwopn7u6It/98+4odZaSVZvNY8PItiPxZs83L/qzl0O+NR93/u9OWD1WCBAQpgzDuvvXBe1w83q9OJVzCg9tfwhO1gmNQiN2L6kisGf0noBES3/6ru6LXHMuuRBbPVaMajsKs3rOIs/xT6b0+XykpBNsmHLZ4WWY9dss4iTs43xQK9Q4/NjhkO/zi2Nf4M3f3yRzUy90eQF9YvsgPj4+6D7DyG9HYk/hHkSposALYurlx3d9HLI78MtjX+KN398gKz2nz4npXacHLcPWNJKYREVFBXWLkErmTqcTBw4cwK5du5CYmIiFCxdez0OM19YKpabEROrkAoDs7GwIgkD62L1eL7nrq80p3JqkvLwcNpsNj97yaNCL9R1N7sCmM5vg5bykG6lvZl/yuMltwlM/PiXGCjNi8mJVuSMpESnYMGQDlh5eCotbjBn2n3nIMedAzahJOzLDMTDyRvh8PuTl5ZGyjWRg6Y/dbkdpaekluexmRGeg0FZI/NZoiq6yW+lKaRTVCFsf3orvTn8HlmdxZ9adyIrNqvQ8aZXl1rrhEy4YdGqVWpLGGGq2RctoiWM1AHEVWOEu3z+ZUrqzNpvNKCkpqTTsJ5Uu/anqxsHoMuLN398MGA59e9fb6DW0V0i/tKOGowhXhpNEUB/vw4myEyEF5ZfcXwIaURiawS+5v9S6oEgzM5GRkUHFxG63o7i4GE2bNkVMTAxuu+02TJs2DWVlZbK9yhXQoARFWqFIQnIlK5OioiJoNJqA7id/d1m73U6CgSSLh6osNOoLKZWQZdmg/k8S/bP6Y3rX6fi/P/6PlIz8h+Je2PYCDhQdQLQ6GizPYubOmWgW26zKjPfG0Y0xq8esoI91TOmItSfWihf4f7u2Oqd1RkJCAhISEmC0G/HS9pewr3gfEjQJeP3W19GxcUe4XC6YTKZKLrsX462eb2HI+iGwe+3gBR7tk9tjROsL2SqCIGD1P6ux9fxWJEck4+mOT1farHd4HSi0F0IXrquWPXpKRArGdxgf8nH/VZbGqxHnfkARKxiWZ6scspzWZRoe//5xWD1WgBKH/PzzYgDxon9YfxiRqkjclHwTWWX7J1NKw5TdkrohUhUJq9dKmg+mtJ8S8vWltnMFrRD3OHhApVDBDnvIn8mIzsDxsuOIVIvnoKAVAbM/FdGF68DxF+awWI5FUljVjgRXiiAIZAAzWPON0+lEUVERmjRpUklsQvmSyVSPBlXyMhgMJDhJ+sO51DQ0aZM3Li6uWtYF0l2fzWaD2+2+5FbO2kRqcVYqlUhMTLyi87nxU9HJV5pkt7gteOnWl8idIsuzWHdiHU6Wn0SrhFa4r/l9IVMaAXFi+4nvn8AfJX9AEAQ81OohvNHjDXJH/Oh3j+K3/N+gYTRwc25oGA2WdV+GGIXYpRcVFXXJpUeLx4LD+sPQKDS4KfmmgL2P9/e+jw8Pfkg6u+LD4rH14a1kX2hv4V6M2TQGPs4HHjxm956NB2544JI/RwlpI9c/GGve/nlYfFC0SREEAc90eqbK6FsAOFB0AN+c/gZaRotH2j4SYHB5vOw4hm0YBg/nAS/w6JLaBcsHLq+05+M/THlCfwKfn/ocDsGBgdkDMazNsJCfsd1rR7fPu8HNuqGEEj7BB5VChd9H/R5ScE+Vn8KIb0bA6XOC4zn0yeyDhX0XhvyuFNuLcf/a+2H2mCFAQLQ6GuvuX1dtL7FLRRKTsLCwoJ1STqcTBQUFyMjIuOJOz2uUK7roNShBAcR6tMlkgslkgsvlIhf46sybSHeMoSyoL4YgCMRa2+VyQaPRICoqCuHh4XUuLlL7aU20OANAny/7oNhejDClOM3t8Dkwu9ds3Nv8XgiCgIk/TMS2nG3E2HFg9kDM7TO3yvctCAJMbhOUjDJgAtzDetBySUtEKiPJzzs8Drza8VU8fPPDcDqdsNls2F+0H+VcOdqktEHnxp2vqLzZ/OPmAaUVN+vGu73exYMtH4SH9aD9f9vDxbqgZtRgeRYCBOx8ZOdlXdikkp00VOfPXyV/4Zz5HLJis9BB1+Gy3o/EgDUDcLzsOPmduTgX3uv1HtnHCoVksmiz2cBxXMCmfsXPeE/eHjz+/ePw8B6Eq8Lx8V0f45a0W8jjOeYcPPfLczhrOovWCa0xp88chCvDcbzsOCJUEWiV0CrQg4vnsOSvJdiWsw26cB2ev+V5RKmj8GverxAgoEejHkgIq51VgOSArNFogppWulwu5Ofno3HjxldtW24dcG3toahUKuh0Ouh0Ovh8PphMJpjNZuj1emi12pDtlFarFUaj8bKjVAGxpTE8PBzh4eGkpGC1WmEwGKBWq4m41JQ5XSgks8qEhIQay/54r9d7GLtpLJxecTq5U0on3NVU9BY7az6L7bnbEaGMIBP6m85swrNdnkVaZFrIY1IUFdTcUUEryCavglKIjRYQkK4TTR6joqKw4MgCrDi6AhDEldjjLR7Ho20eJavDvUV78eqvr6LcXY6+mX3xxm1vVNlBVnG4T4BA9icMTgM8nAdqRk3Ojxd4nDWfJYJi99oxb/88HC87jhuTbsSUzlOCdi2FCsaS6JDcAR2SgwuJ1WPF4oOLcc50Dl1Su2BMuzFVrgLzbfkXnJ3/baUushWRx3mBx38P/Rffn/0eCdoEPN/1eTSPaw6lUonY2FjExsYSk0VpmJJVsPi99HdAAXRP7Q4dq8OeR/bATbsRp4kLOB+H14FhG4bB6DJCrVBjd+FujPhmBH4a/hO6pHWpdL4A8Nbut7Dy6EowFINDhkPYW7QXW4ZtwX0t7gv5PmsCfzv9YGLidruRn5+P9PR0WUxqkQYnKP4olUrifcOyLFm5GAwGaDQaMgj22Wef4YYbbsBtt912ySWyUPj7BwmCALfbHVCvlsSlpl5P4kpXWaHomNIRWx7agr9K/iJ2MNLFw+VzgaYuxMJSoIjPkj82rw12rx26cF2Vm70MzeC5Ls9hzr458Lq9YGgGbXVt0b1RdwCia++KoyvETX2KBsuz+O/p/+LRjo/C4XBg39l9ePy3x8EJHFQKFb46/hU8rCekTTtFURjRegRWHlsJihcDwqLUUWSjODEsEQzFkCFOjufACRwaR4kDoSzPYtiGYThiOAIBAn7L/w1/lvyJNfetCbj7NpvNsFgsJBjrhPEEvj31LRS0AkNuGFJlHouH9WDIuiE4bToNANiasxV/l/2NeX3nhfyZm3Q3YUfeDoRTYiCcklYGdJnN3jMbn/z1CQDRL25XwS5sfXgrUiNTL/wu/EwWy5xluPt/d8PgMIifLa3Cp3d8igxtBiKZyjcuJ8tPwuq1ki61CGUECm2FyLfmBzV/FAQBX/79JXGcBsRuvJ35O6+ovHgxpNRIlUoVdA/E7XYjLy8Pqamp8h5JLdOgBcUfhUKBxMREJCYmgmVZmM1mGAwGvPHGG9BqtbjvvvvA83yNX+AB8YKl1Wqh1WqRmJgIj8cDm80Go9EIhUJx2fs9FfEvpdRG22JaZFrQFUd2XDZ04ToU2ArInkfTmKYBF8j/++P/yEBmRnQGPh/4ecCFqyKPtXsMUWwUTtpPIishCw+2fJDcbRtdRihoBRElyardBReydFnYXLIZHDioGTUEXgAjMNh8ZjPm9p4bsuw5s/tMJIUlYWvOVujCdXix64vEjl6j0OCjOz/ChB8mgBd48ODxavdXyUXxeNlx/FP2D1SMiqSG7ivaJ0bY/ttJVjEY6y/9Xxi6fihcrAsQgE8PfRpg1V+RgyUHkWPJIWaUvMBjw6kNeL3H6yH3K97v8z5GbxqN42XHAQBPd3wavZtcCBj7/OjnAXM0dp8dP53/CY/e+GjQ4608thJ6px4R6giwLAsP78H7f76PTHVm0K68cGW4mPX+70ySAAGcwAVk4FSEBh2Y30JV3Wl2pQiCgJKSEigUiqBi4fF4SBKj5JUlU3tcNYLij0KhAMMweO+999C7d28MHDgQ5eXlOHfuHPHviYqKqpWLMkVR0Gg00Gg0AeKSn58PmqZDluQuhslkgtVqveTup5pAo9Bg9eDVeOXXV3DKeAqtElvhzR5vkgvV7/m/Y8GBBdAwGtAUjfPm85jy8xR8df9XQY8nNUbc0/IeDI8cXunx7LhsKCgFXKwLGkYDh9cBlUKFFUfFzBnpdSSB9rAehDFhVdrsMDSDSR0nYVLHSUHP6Y7MO7Bn9B6cN5+vJKwCKgd+SRd9QRBgNBrhdrvRqFEj8ry5e+fCw3mIBYzda8eHBz/E3DvmBn19qQPMfxUIILBtuAIJYQnY9OAmlLvLoVVoK03zV7xQB2sb9qfcVU6GhRWMAgIlwM7ZkZmZCa/XC7vdjgOnD2DD+Q3gGR7333A/+mX2w4/nf4SP80HFqDCi9YiQuTEUReHxDo/jw4MfkpTShLCEizpYXy6SmDAME7RpxePxIC8vj5TQZWqfq1JQAGDdunUYO3YsevbsCQCIi4sDx3Gkxp2TkwOlUknEpbYm5NVqNYlBvRx/MWlexuv1VtkWXNukRKTgvwP+G/SxE8YTYHmWXNC0Ci2Olh4NeM5f+r+w6ugq8DyPPgl90OuGXiEN9mI1sVgxcAUm/DABBoeB2Mcv+WsJlIwSPRr1QHpkOvKseWJphlHhtR6voUmTJmTDubi4GBzHkc9YpVJddFM/MSyxkjswILoQZMVk4aTxJPm/DskdkBGdAYPBAI7jkJaWFnB8m9cWcEGnKKqS95g/NyffjDhtHErsJWJbscDhtka3BUzfu3wuMtnfObUzemX0AkVRIVuPn7jpCXyw7wN4OS8ECIhRx+DOrDsDnuPlvMi35iNGE4MeaT3w+ZHPwYMHL/BgeRb9s/oDEPcu7Ywdj/3+mDjMKQhYd3od3uz4Jjrd3AkGrwFtk9vizqZ3VjqPfGs+iu3FyIzJxJROU5AakYrtuduhC9dh4k0TAxwYagpBEKDX60HTdFAx8Xq9JDwrOfnyzSdlLo0G1+VVU/A8T8TFarWSUJ7o6Og6sV/x9xeTssilC5+EtJGoUCiQlJRU723Kodhydgsm/zQ5IDskMyYTPw//GQDwR/EfGL5xODysBzzPQ6vUYs39a6qccZEosBbg1s9vJSUwQRDLKl/f/zUOlRyCyW1Cj8Y9AjqPJDiOI91MVzqsavFY8Paut3G87Dja6drhhVtegL3cDoqigjo5rzy6EjN3ziSlIAjAx3d+jP5N+5PnSF1wKkaFCFUESuwleHPXmzhvPo/OqZ3RP6s/tuduR7gyHENaDMETW57AsdJjYAUWKlqF6V2n44mbngh5zoIgYM3xNfjh7A9ICEvAM52eCZgJOWs6i6EbhsLsNoPlWTzS9BHckHIDPjj4AdysG/e1uA9v3PYGcWn+z67/4JM/PyGrLjfrRov4Fvh6wNekrd5/75KmaXz858d4f+/7UDAK8TO46+OgFjc1iTSbJQhC0N+N1+tFXl4eEhISkJoauiwrE5Rrq224NpDERSorSaUpqSxW26sCyV/MZrMRf7Hw8HCUlpYiIiKiwXed8AKPp398Gj/n/AwFpYCSUeLLQV+SCfBxm8dh6/mt0NAaKBQKOLwO9M/qj0/u/oQcg+VZFNoKEamKDOgMO2c6hz5f9gloChAEAWvuWxPgIVURs9tMnAFub3w7mkQ3qbF5IknopU3eYD8vCAKWHlqKZYeXgaEZTO44GUNbXXAesHqsGLNpDA4UHwAAjG47GrN6zCLH+iXnF4zZNAZuzg2aoqFVaMHzPNQKsbVXGow8++TZy96D6L2qN86YzkDDaOBjfQANrB68Oqg4A8DLO17G50c/J4Li5bxoFNUIOx7ZQd6zNEzpcDhQ6C7Eo9sfFSftGQU8nAcKWoHD4w4HRAnUJNKKnuM4JCcnV/rd+Hw+5ObmIj4+HmlpoTsUZUJybbUN1wY0TQfYV9hsNphMJmJrLYmLWq2uFXFRKBQBbZxms5nYk3AcB7fb3aD9xWiKxv/1/z8cMRyBzWtDq4RWAaLgcDsAHlCoFKSOL6UDAmLY1bANw1BkLwIncBjfYTxmdJ0BiqLQOLox0iPTcd5yHgpaAZZnkRiWiJbxLUOej9FlxF3/uwsGpwG8wEPDaPC/+/5HJsmleSLJGl6j0RAPrIv9fiXLjrCwsKDtpxLSfsHjHR4P+vgrv76C/cX7oWFEG/2Vx1aiXVI7PNBS7HZ647c3xDKiQiwLWj1WKCgFNEoN+cxZnoXT54RWoQVDMzC7zVh2eBmK7EW4vfHtGNBsQMjvjCAIOF1+GhpGA47joFQo4eE8OFl+MkBQTG4TjpcdR6wmFoOyB2H1P6vFyAKKBi/wGN7qwh5Yxc7H02dOg6EYCLwAn+CDglLAy3phdBmvKOOkKi4mJnl5eYiNjZXFpJ64LgTFH5qmK1mwmEwmFBaKgVPSnotGo6kVcfH5fKT1VK1Ww+FwXBX+YhRFoZ2uXaX/Ly8vx8D0gTigP0DajGmKxiNtHiHPeeqnp5BrzUW4Umx/XXpoKbqkdkGfJn2goBX4+v6vMW3rNBwrO4ZmMc0wr++8kIaKALD8yHKUOErIno7L58JrO18j8b0V54mklu+ysjKS9x7MwDJUzO3lsL9oPxSUQrQQAgUf78P+4v1EUBw+R8DKg6ZogBLfi5JRwsN6oGJUaPZRMzAUg8mdJuObU98gz5oHQRCw9vhanLecx9Mdnw76+hRFIS0iDQXWAoSpwog9TkbUhc69Q/pDeGjjQ2B5FizP4v4W92PJXUswd99cuFgXhrcaXkkwV/+9GnP2ziFZLDx40LQ4UOr0OaFltLDpbWBcDCIiImr0u1xaWgqWZZGSklLpmCzLIi8vD9HR0WjUKLQVzKUyY8YM7NixA/Hx8di0SYwuWLRoEb766itSWZg2bRrZy73euS5KXtWB53k4nU6Ul5fDYrGA53ly4QkLC6sRcbHb7TAYDEHbgoNZwERFRTVIfzHgQunB5/MhNTUVP5z9QZyJoIAJHSYEbN7e8MkNYkv3v7MJdq8d02+djkk3B+/Iuhgv7XipUmkmJSIFu0btAiCW6N7a9RaWH1kOAHis/WOY3nW6+Nx/GydsNhsYhiEiTtM08vPzERsbG9Ky56TxJApthWgR36LKgU8AGLZhGHYX7IZWqRXDnjgPnrr5KQxoNgCZMZmYv38+PvrzI3K+DM3g7dvfxsqjK1HiKAEFCnqHHkpaCQECKSdJLbsczwEUcHbiWfL9+Lv0b7y04yWUOErQPbU7bou9DS/9+RJ8vA8sz+KhVg/h7dvfJs+/ZfktYqu4QkP2rpbevTTABNSfree34vHvHyerUI7ncHvG7dhdsFuMPlaosfye5WiX2I58ly8nmTIYZWVl8Hg8SE1NDSkmkZGRNd7YcuDAAYSFheHFF18MEJSwsDCMGzeuxl6nASGXvGoCmqZJWYTnebhcLpSXlxNjRmlT/XLFxWw2w2w2o3HjxkHbgv1bjqU0P4vFQlxlo6KiGoS/GHBhkIxhGPIHflezu3BXs7uCPj8jKgMnyk8gjBZLJUpGSYYKL4c+Tfpg9d+r4eN8pDTj39209NBSLD20lBgkfvznx0iNSMXoG0cHdOVJjROFhYVwu91EwIPx3p738NHBj6BgxCn7xf0Wh3y/APBur3cxaO0gOH1O8AKPGHUM5h+Yj8UHF0PFqLB68GrwAo+1J9dCq9Di1W6v4u5md5OVXbul7ci+krTC4QWeCApFUaS7iwKFYnsxBq8dTLJQVh9fDVOWCXse3YOTxpOI08ZVShktsBUQ9wCKosBzfJV58N+f/R4+/kKsMi/wyLHk4MDYAzA6jUiJSCFuBtIwZcXyY3WSKSsiTfmHEpP8/HxERETUSpdkp06dUFBQUKPHvJaRBSUINE2TkkmjRo3IykW6I5fuaqtjwyIIAsrKyuB2u9G4ceNqfeErRplW3A+o7mvXBtIeg1arRXx8fLUEbmG/hXhww4Nws25wPIf+Wf0xoNmAS3pdKe8+OTwZfZr0wZs938TsPbPh4Tx4qNVDZAUCAD+c+wG8wJNBSh/rw4/nfsToG0eT55w3n8eO3B1gwKC9tj2apDYBz/PQ6/Uk0U8qPx43HsdHf35EPm+O5zDpp0k4kXmCvEauJRev7XwNBbYCdG/UHTO6zsDOR3biYMlBFFgL8PKvL5PZDKvHitHfjcaxx4+FjMvVheugd+ihgOgErGbUoEHDxbqgoBTgwWNg9kBSNtuZtxNezgs1owbP81AwCvxw/gd8qvwUnVM7B32NG+JvwAnjCWgUGnACB5qmq4zljdPEBdjbcLwYOhatjg45nFmx/Og/FFxVxIFEeXk5SVYMFbccFhZW7b+tmmLVqlXYuHEj2rRpg+nTp1fLiPZ6QBaUaiBtRKanp5OVS1lZGYqKigLEpeIdl3QnT9M00tPTL2t1EcxfTLKAke72qrPZXBNIf8DR0dFBMyZC0SK+BX4f+TuxPW8Z3/KSPostZ7dg0o+TiF368oHL8UibRwL2afxJCksKmNYWIAQM4/1V8hceWP8APKxHbD0N12HriK2I08YhJiaG+F9J8QZHTUdBgyYXbyWjhI/zodxVjuSIZJjcJty95m6Y3CbQoHHCeAKF1kJ8OuBT9GnSB18f/1psif73nJS0EmXOMrhYV6VhRYm5feZi8NrBYHkWoIAWcS0wt89cvL3nbegdevTK6IVXul0QI41C3PyXSoucwEFJVx2k9undn+LB9Q/C6DKCEzhM7TwVXdO7Bjznl5xfsD13OxLDEjG05VCsPbEWRrcRgiBAq9Bi5m0zL/Lbu0DFoWBpmLKoqCggmVKaKSovL4fD4Qj6t8NxHPLz86HRaJCRkVGnYjJ8+HA8+eSToCgKCxYswLvvvot33nmnzl6/ISMLyiWi1WqRlpaGtLQ0uN1umEwmlJeXo7i4mNzVRkREwG63Y8uWLejbty/i4uJqpFQVyl/sYpvNNYE0/X65hpVR6qiQhoJVoXfo8eQPT5ILpJt149HvHsWhcYdCbtxP7zodO/N2wuFzAABiNDF4tsuz5PFXfn1F3PymlWAYBnqnHksPLcULXcUMb3//K57n4dF6RIdiVizXeXgPYrWxxDV3V/4uOHwOUj4SBAGbz26Gh/VArVCjaWxTMnUvdW/FamOhVVwor5U6SzFnzxzk2fLQo1EPPNHhCfw+6nfsKtiFcGU4emf0hlqhxvoh64O+566JXaFT61DkKoKX9ULJKPFs52cDvne7C3bjmZ+fQZmzDF3TumLxnYux99G9KLQVIkodVWkAcfmR5Zi5cya8nBcMxWDV36uw4YEN2JazDV7Oi76ZfZEdd/mxuSqVKiC62+FwkCFfhmEgCEKAO4GEdGOjVqvRpEmTOl+p+1u8PPjgg5gwYUIVz76+kAXlCtBoNEhJSUFKSgq8Xi+MRiPMZjP++ecfzJs3D8OGDUNMTEyt7HuE8hfLy8sj/mLVsfyvDv7Z76Gm32uLHHMOGJoBLYgXDRWjAidwKLQXonlc86A/0ySmCbY/sh0/n/8ZFCj0y+oXMCFf5iwjQVigRGPFUmdp0GPRNI2WKS2xqP8iTPl5CjiBQ5QqCrNvno2SohJERUVV+hlpJSKtDm5KvglPd3waCw+IuSFKRomVA1eS74Xda0ff1X1RbCsGL/DYmbcTp8tPY17fedUyVbTb7XBanPjx4R+x/NhyFNuLcXvG7QFlxVxLLh7+5mF4OS8UtAI78nZgzKYx2PjAxpCmlm/vehsAyCqq2F6MfUX78Fj7xy56TpeKQqEg3ZeSCaxGo0Fubi40Gg3UajW0Wi3UajUKCwuhUCiQmZlZL2Vfg8FAfMG2bt1aJ1n0VwuyoNQQKpUKKSkpsNvtWLhwISZPnozGjRvjzJkzl5TpcjkEKyVYrVYUFBRckb8YcMH9ODU1FRpNZTv32iY9Kh0+zkcEgOVZUBSF5PALcw5mtxkLDixAnjUPtzW6DaPajoIuXBe0JOZwOHBL/C1Yb18vWpDw4l5L36y+lZ7rz6Dmg9A/qz/KXeVICk8CQzFExDORiThlHIpdxQAAhmLQIq4Fuq7oilhtLN7q+RZe7PoihrcajlJnKZrGNkWMJoYce0fuDhidRuKdJggCVv29Cu/1fo/s0YRC2o+QHJCndZkW9Hl7C/dCEARyPCWtxL7CffBxvpBDiNLQpYQgCJUcqGsas9kMm81GVh5SmXffvn1YtGgREhIS0K1bNwwdOrROxGTatGnYv38/TCYTevTogaeffhr79+/HiRMnAABpaWmYNSt4qun1iNw2XIOUl5dj7NixmDt3Lpo2FV1npUwXk8kEp9NZZaZLbeBvAQOgWv5iElUFSdUlnx3+DK//9jpxJZ53xzySr+H0OdHnyz7Is+SBF3goaAVGth2Jt29/u9JxpPKgLlWHl3e+jA2nNkDNqPHCLS9gXPsrawE1WA2Yu3cuckw5KHOX4W/T3+AEDjx4aBVa/DLil5Arqm9PfYtJP04iRpGCIIAVWOQ/lQ+1IrRNkH82y8XKnD+c+wFPfC/auEgtvzRFI2dSTsgV9KQfJuGb09+QMp1GocG2h7cFta6vCSwWC8xmc9BuLakZJD8/H2fOnMHOnTvBMAwmTJiAbt261cr5XKfI1isNBUEQ4PP5Qroc+2e6OBwO0rFV3Qv8leKf5CfN2VT0F5OwWCwwmUxIT0+vc/fjYORZ8pBnzUPT2KYBWfE/nvsRT2x5IsC918f7kDMpJ+DuvrisGPml+eiQ3QFKRfU+a17gQzr4ni4/jT2Fe0RDxqZ3BrxWxv9lwOlzBpzTK7e+gme6PBP0WCa3CbeuuBVGlxGA6Jx8d9O7Q5p1AiBWQunp6dXaM/NxPty39j4cNhyGj/dBSSvx9u1vY2TbkQHPK7YXo9RZisyYTChpJV7b+Rp+Pv8z4rXxeKfXO1Xa4VwJ0vsJJSZFRUXgeR7Z2dnk/RoMBvh8PnkqvmaRBeVqRMp0MZlMsNvtpGMrKiqqTsSFZVnY7XZYrVYSEyvZz0jZH+np6fXmflxdvj/zPSb9eGFAUhAEeHgPzk08R2YiZu+cjXl/zhPnZiJSsW7IugATxYrYvDY8ueVJbMvdBo1Cg5ndZwZkjGzP3Y7R340mgtMqoRW+G/odEZXsj7JhdpvJICcv8Hiu3XN4IOMBhIeHIyoqCm64caT0CCJVkeig64BCWyFm7pyJfGs+ejTugRe7vhiy3CXdyVdXTCS8nBfrT65HqbMUnVI6VfL0mrd/Hubum0syVtYMXoObU26u9vEvl6pWWjzPo7i4GCzLonnz5rXScCITwLUtKDt37sRbb70Fnufx4IMPYvz48fV9SjWO5O9lMplgs9mIuIRaPdTG60vi4nK5yMBiQ7SAqYjJbUL3z7uTll1QQN/Mvvjsns8AAD/+8yPG/jwWFC2mUHo4D9oktsHWh7eGPOYTW57AptOboKSV4AQOFEVh1aBVuK3RbQCA9kvbi1PsjBKCIECAgDm952B4a9H3atnhZXj515fhYT2gKRrx2njsGrULcZo4OBwO/Jn/J0ZtHQUWLHiBR8/GPbFq0Koq44Al/FMja1Ls/9L/hXu/uheA2Ezg5byI08bh2OPHavU7UHEPyB+e51FSUgKfz4fs7OwGsVK+Drh2J+U5jsOsWbPw2WefQafT4YEHHkDv3r3RrFmzi//wVQTDMIiPj0d8fDw4jiPlpvPnz0OlUtV6povUJutwOIgbgDSDIbVCN1QLmFhNLLYM24KZO2eSTfkZt84gA6VHDEcgUAIUlPhVV9Eq/FP2T5XH3Jm3EwzFgKIoEgS2u2A3ERST20Qu/hRFEUNEibHtxiI1MhXfn/kecZo4TLx5ImkxjoyMxCsHX4GNtYnGioKA7Tnb8cnuT/DIjY9UOVNkNptJCFtNrxzPms6SqXxA7KYzuoxw+pxV+qpdCXa7vUox0ev18Hq9aN68uSwmVwkN+rd05MgRZGRkELO3AQMGYNu2bdecoPjDMAzpzed5nohLbm4uaQeuaXEJNv0umWc6HA6YzWaUlJTUiCdTbdA4ujGWD1xO/i3lZfA8j9bprcEcEy/cFCVamKREpoQ+GIAEbQIsHgsYMGSYMinswmBkt/Ru2J67HRRNgRM40RiRdWL5keW4rdFtaBrbFHdm3Vkp7Eoi15J7wVblXwuVMk50UygrK4NSqawUKy2tXmurDNk0tilZbfmvUEINXl4pUsNHKDExGAxwu91o0aKFLCZXEQ26QK7X6wPS1nQ6HfR6fT2eUd1C0zRiY2ORlZWFG2+8Eenp6eB5Hrm5uTh79iz5o7tI2bJKpInjyMjIStkfUstxamoqMjMzERERAavVivPnz6O4uBh2u/2KXrs2kNwJACA5ORl3Nv33wv5vtrlWqcWSu5ZUeYy5d8wVLUwEHgIENI9rjmEth8HH+QAAi+9cjG7p3USrE1qNSHUk5u2fh+nbp6P7593xe/7vVR6/bWJbcq6CIECj0ODmtJuRlJSErKwsJCUlEY+qvLw8FBQUwGq11uqeVgddB0ztPJUISrgqPGBWpiaRBhiDxV1LYuJ0OuWVyVVIg95D+eGHH/Dbb7/hrbfeAgBs3LgRR44cwcyZ1bd7uBbxz3SxWCzE2PJSM10ud/rd31/M6XTWu7+Y/3kVFhZCo9EE+IwJgoC/9H+h3FWOG5NurJSJXmwvxocHP4TRZcS92ffizqZ3Isecg10FuxCpikSOOQfv7HkHPt6Hno174rN7PkOUOopY8b/y6yvgeI6042bGZOLPcX+GPM8iWxHu/fpeFNoKwQkcHm//OP7T8z9BL94GgwF2u51Mjkv2JLVV/iyyFcHgNKBpbFNEqi7dEeFiOJ1O6PX6oGICiDeRDocDLVq0qNdW9euYa3cPRafToaSkhPxbr9dDp9PV4xk1DGoi0+VKpt+D5Y1YrdZ68ReTkMp24eHhlRIwKYoKGUdscBjQa1UvlLvKAQH49vS3eLPHmxjTbgyaxDTB1vNb8e7ed8UZF0qB3/N/x5Sfp2DZPctAUzQMDgOZPpdey38/JRipkanY9+g+FNoKEaGKCAgr80fKycnMzARFUaQzz2AwwO6xY8HxBdhdshsJYQl4t9e7IU0gL4XUyFSkRtZObK4kJqFa0SXxlMXk6qVBl7zatm2LnJwc5Ofnw+v1YvPmzejdu3d9n1aDgqZpREVFISMjA23atEFWVhYUCgWKi4tx9uxZlJSUwOFwgOd58jN2ux2FhYVITU29YisVyQJGp9MhMzMT8fHxcLvdyM3NRX5+PiwWCziOu9K3WSX+ZbtLjVNef3I9zG4z1IwaaoUaHM9hzt455PHdBbtJgqG0gvgt/zfyePdG3aFRaIhXF0Mx1cpUZ2gGjaMbVykmHo+HuOxyPIdtedvwfeH3cIW7MO/kPGw6vwkmpwnHS4/jwXUP4u+ivwNKkEaXEdtytuFg8cF6L026XC6UlJSEHJItLS2FzWZDixYt6qSzUaZ2aNArFIVCgZkzZ+Kxxx4Dx3EYMmSI7JtTBaEyXfR6PZk1OXLkCFatWoWlS5fW+B+uvwUMgAB/MamTrKbtZ1iWRUFBAeLi4oL6al0ML+clE+oASPaIREpEClSMimzqcwIXUDK7PeN2vNXzLbzy6yvwcB7c1vg2LOq3KOA1tudux/PbnofFY8FdTe/C7N6zoVEEt7GRutO8Xi/J/+B4Dg9tfEi0T/m3Cu3jfNAqtaApGkoo4WW92Hp2K7RuLTQaDXI8ORi5ZSR4gQfLs+jdpDeWDVgW0Jr89fGvservVYhUReK5Ls8FTeSsCST7nkaNGgUVE6PRCIvFgubNm8ticpXToPdQZGoOp9OJtWvXYu3atXj22WeRlpZWp/se/kmJFEXViEOAtAeUmJiIiIiIyzrG6fLTuOPLO+BiXWAoBjRFY1y7cZjVU/Rncvlc6P+//jhnPieuQGgG64esrzQx7t8h5c+x0mPos6oP3JwbFCioGBXub3E/Pr7r40rnIqVg2t12zPl7Djaf3YwIVQQeaPEAlh1ZRkSN5Vk4fA7EamJJqc3DepAWmQYf70OX5C44UHQA+fZ8MhxJURQW9ltILGuWH1mOl3e8DB/ngwABWqUWPw3/qco8lMvB7XajqKgoaEopINoVGY1GNG/ePGS4mUydcm0PNsrUDCtXrsSvv/6KBQsWgKZplJeXw2w2B2TZ19W+h7+/mCAIl+UQ4PV6UVBQAJ1Oh/DwK5uTOFh8EDN3zoTZY8ag7EGY1mUauVADgJt14+fzP8PutaN7o+5VTtlXZN7+eXjz9zfJvwVBQJgyDIWTCwOe59/q/J/D/8HaE2vBCqwoIqCgoBXExFEQBDhZJyKUEfDxPtCg4WAdYv7Jv7ktbs6NCFUEaNAXIojbPIWnOz6NyMhI3PL5Lci35l8QpH8jil/v8foVfJKBXExMTCYTysrKZDFpWFy7m/IyNQfHcfjwww/JH7Z/pkt5eXnQTJfasrlQKpUBORg2mw3FxcXgeb5aXUxSQ0FKSkqNXIhuTrkZm4dtDvm4RqHBwOyBl3XscGW4GHjFi/tIAoSAHBTggpgIgoDk5GRs2bAFrMCKqx1KLG+BF9ueaYqGj/ehQ1IH9M3qi1PGU1AxKmw+sxmcwJHjcQIHH+cTM1ooQK1Qo1lyM+wp2oNEOhE+n4+0RUvDjDXZIuzxeFBUVIS0tLQqxSQ7O7tGxWTGjBnYsWMH4uPjSQa82WzG1KlTUVhYiLS0NMyfP19OWKwl5BWKDMHj8ZCVi9vtrhNx8YfjOLJyYVk2QFyki51011tfdvqXitltxq2f30q6wbQKLeb3nU9sWgRBILNVOp0OFEWh3dJ2yLfmX5jGB4X7W9yPLWe3wMW6kB2bjTxrHjiBgwAB8Zp4mNwm0rosCUpWbBYKbYXgBR7d0rvht/zfiJ3MAy0ewNoTa0kuvVahxfcPfI+2KW2vWFgkwU9LSwt6Y2A2m2EwGJCdnX3Fq8uKHDhwAGFhYXjxxReJoMyePRsxMTEYP348lixZAovFgueff75GX/caQi551TW9e/cmew8Mw2D9+uApelczXq+XOCO7XK5az3SpiOQvZrPZSFlOqVQSE8GrafO23FWO5UeWo9xdjn6Z/dCjcQ8AopiUlJSAFVjsMu1CmasM3Rp1g96ux6ObHiXtyLpwHX4f9TuiVFFgeRaD1g7C7oLdYqzwv/s60epo2L12sDwLtUKNce3G4Y0eb0Dv0MPoMuKOL+8Ay4urHl7goWSUeL/X+1h3ah3CFeGY2HYiGqsaw+v1XpHdjlSKDCUmFosFer2+VsREoqCgABMmTCCC0r9/f6xcuRJJSUkwGAwYOXIkfvzxx1p57WsAueRVH6xYseKSW1SvJlQqFXQ6HXQ6XUCmi16vr5NMF4ZhAmZtjEYjDAYDFAoFTCZTg/YXq0icNq5S8JU00c9TPEb+MhLHy46D5VkwNIOP7/wYWx7agm3ntyFSFYmHWj+EaLVYolEySuRb88lxKIqCj/OhV0YvtIxvifOW87it0W0Y2nIoKIpCSkQKThpPQkkrSTcbTdGgQeOW9Fswou2IgPOqaLcj/a7Dw8Mv+llLYpKamhpUTKxWK/R6PZo1a1ZrYhIMo9FIEhYTExNhNFY9JyRz+ciCInNRlEolkpKSkJSUBJ/PR5yRDQYDtFotKU3V1jCaw+GAw+FA06ZNQdM0nE5ng/cXqwpJTJRKJbaXbccJ4wm4WTcZXpyydQrynspDB12HoD/fNa0riu3FZF9Gq9SiV0YvjGhzQRzWn1iPhX8sBAUKo28cDZYXnY1pigbHc1Az6oBcGQn/hE9/RwSDwVDl0KokJikpKUFLkTabDSUlJcjKyrrsjryaQPJPk6kdZEG5TMaNGweKojBs2DAMGzasvk+nzlAqlUhMTERiYiIJDDObzSgtLYVGoyFT+jUlLv4pftI+jjRrI13wpDtfjUaDqKioat1N1xeCIKCoqAhqtRoJCQkw5V/Y+5CweWykRTgY7/d5H4W2QjKXMqrtKDzc+mHy+DenvsGEHyaQuN6/y/7G4+0fx7LDy0DTNNSMGl8M+uKixo/BHBEku3nJqDQyMhI8zxMxCbbBLjVdZGZmXtas0JUSHx9PcuANBsM1XVmob2RBuQxWr14NnU4Ho9GIMWPGICsrC506darv06pzFAoFERf/TJdz587VSKaL5LAbyq694gXP5XJV6266vvD3GktIEO3suzXqBoqiSFgXQzPomtY1QEyOGI7gyR+eRKGtELek3YIP7/wQm4dthsVjgYpWkSAxiY///JhM9wNi2/Nx43GcnHASxfZipEemX7IlveSIIAmG/9Cqx+NBbGxs0PKn3W4nYlJfnVW9e/fGxo0bMX78eGzcuBF9+vSpl/O4HpA35a+QRYsWISwsDOPGXVkm+bWEf6aL1Wq9rEyXsjLRzj01NfWSBcH/btput0OlUtVpt1qoc/KPCPBn85nNmPTjJFg9VtyafitWDFyBeK34nBJ7CW5adhNsXhsgiHso7XXt8cuIX0K+1r1f34sduTuIoPACj7ub3o3/3fe/Gn1P0mBpfHw8af+WVmAJCQlIS0tDYWEhmjRpgpiYmBp97VBMmzYN+/fvh8lkQnx8PJ5++mnccccdmDJlCoqLi5Gamor58+fX2flchchdXnWJ0+kk8xJOpxNjx47Fk08+iR49etT3qTVIOI4jeeFWq/WimS7StLjP5yPWI1eCIAjkbtputweUaupKXKoyrrwYG05uwJM/PAmHzwEAJJ8l7+m8kG7AO/N24oH1D8DFugAAYYowfPPgN5Uif68EyV4/KSkpYIOdZVn8+uuvWLNmDcrKytCzZ08MHDgQrVu3brBlSJkA5C6vusRoNGLSJDHDnOM43HPPPbKYVAHDMIiNjUVsbCx4nifiIgWG+TsjcxyHnTt34oYbbqgRMQEC/cUSExOJuOTn5wdsQNdWt5q0vxAZGYnY2NhL/vkwZRgECAF7KgIEcWDRj/Pm8zhrOovmcc3Ro3EPfPPAN/jkr09AUzQm3jQRnVJrriQbSkwAsQx66623olGjRkhISMCxY8fw2Wef4fTp03j99ddx003BXZ9lrg3kFYpMvVAx00UQBHz88cdITU3F1KlT62T1UBv+Yv5cqZgAonlln1V9cNx4HG7WjTBlGCbdPAmv3fYaec6HBz/EqztfhYpRwcf5MO+OeRjZdmSNvIeKcByHvLy8kP5pbrcbeXl5SE9PJ/tEgPhZMwxTbyVHmWojl7xkrm7cbjemTp2Kxo0bY8CAAQCql+lSkwTzF7uShgJJTKKioq64Xu/yufDfw/9FvjUfXdO6YlDzQWS1UmAtQLv/tiMdXQCgYTQ4PfF0SGv8y0WKCUhISKhSTFJTU8nch8xVh1zykrl6EQQBkydPRs+ePTFixAjwPA+n04ny8nIUFRUFXNy1Wm2tiUswf7GSkhJwHEdev7oNBRzHoaCgADExMTXS2aRVavFUx6eCPpZnzYOKVsGNC4KiZJQotBXWqKBIYhIfHx9UTDweD/Lz82Uxuc6RVygy9YogCPjnn3/QunXrSo/5Z7pYLBawLEsu7mFhYXWycpEsYKxWK1iWRXh4OGkoCLbHI4lJbGxsncxc6B16tF7SmmzAA6Ih5dknz9ZYhK8kJqEyZzweD/Ly8qDT6ZCcnFwjrylTb8glL5nrA2nlYjabA8wj6yrTRYpbttls8Hg8RFw0Go0YhHWRC29t8d3p7zBm0xgxVRIUVg1ahTsy76iRY/M8j/z8/JAC6fV6kZubi6SkJKSkVJ68l7nqkAXleuZ6teuWVi5msxk+ny/AGbmuxMXhcMBms8HtdkOr1cLpdCIxMbFepsEdXgeKHcVIjUi96AR8dZHEJFTpzuv1Ii8vDwkJCUhNrZ0cepk6RxaU6xnZrhsk08VsNgesHMLDw+ukq8jn8yE3NxcqlQosy16SoWJD5WJNBdJ7jo+PR1paWt2foExtIQvK9Y5s130Bt9tN/MXqItNFmsmQ2mj9DRWdTic0Gk2dluVqguqISV5eHmJiYtCoUfXTK2WuCuQuL5lArme7bo1Gg5SUFKSkpARkuvg7E9dUpkuwAb9Q/mKlpaUN0l+sItJUf2RkZFAxYVkWeXl5iI6OlsVEphKyoFzjXM923RUzXaSymF6vR1hYGNnUvxxxkXysgk2LS1AUhbCwMISFhVVy61UqlfXuL1YRyW8sPDw86CCmJCZRUVFIT0+vhzOUaejIgnINItt1V0apVFYKDJOiaC8100USE51Oh7Cw6m2A+7v1CoIAr9cLq9WKvLw8MAyDqKioOkvDDIa/mAT7vkirsYiIiJDuzzIysqBcg8h23VXjHxgWLNOlKgsWn8+H/Px8JCcnV1tMKkJRFNRqNbH+l8SloKCgTvzFKiI5BGu12qBiIrVDh4WFoXHjxrKYyIRE3pS/ypHtumsOjuOIuNhstkqZLnl5eTh37hy6dOkSNEiqJvC3gAFQ4/5iFakY+FURSUw0Gg2aNGlSq2LSu3dv0rzAMAzWr19fa68lExK5y0tGpqaRMl3Ky8ths9lQVlaG999/HzNnzkSHDsGjeWsayQLGZrORyISoqKjL9heriH8UcWJiYqXHpal/lUqFzMzMWl+Z9O7dG2vXrpVLtPWL3OUlI1PTMAxDvL3OnDmDV199Fc899xzCw8Nx/vz5Sw4MuxwUCgWx/mdZFna7HXq9nrgESOJyOU0XgiCgpKQECoUi5MqkoKAASqWyTsRE5tpAXqHIyFRBUVERJk6ciDlz5qB58+YBmS4Wi6VSpktdIPmL2Ww2eL1e0lAgWcBcDElMGIZBYmJipZ+R5lBomkazZs3qTEx69+6N6OhoUBSFYcOGYdiwYXXyujIByCUvGZnawmw2w+FwBJ0Gr5jpQtN0wMqlvvzFJGfmYOIiCAL0ej0oikJSUlJQMSksLARFUWjatGmdtjTr9XrodDoYjUaMGTMGr776Kjp1qrlgMJlqIQuKjEx9I13YpU19iqLqPNOlor+YNMgZFhYGiqIgCAIMBgMEQYBOpwsqJkVFReB5HtnZ2fU6H7No0SKEhYVh3Lhx9XYO1ymyoMg0TIIZVy5atAhfffUV2XidNm0aevbsWZ+nWeP4Z7qYzWaS6VKX4iIIAhEXl8sFjUYDnudB0zRSUlKCiklxcTE4jqsXMXE6naTxwOl0YuzYsXjyySfleO26RxYUmYZJMOPK6+3O0z/TxWw2k4tmXWa6SK3BbrcbFEVV8hfjeR4lJSXw+XzIzs6ul+HK/Px8TJo0CYC4R3TPPfdg4sSJdX4eMnKXl0wDpVOnTigoKKjv06hXaJom3l6NGjWCw+FAeXk5DAZDnWW6lJWVgaIoZGVlAQCxgFmxYgVOnTqFrl27on379mjXrl29Teo3atQI3377bb28tkzNIQuKTJ2zatUqbNy4EW3atMH06dOvuayWqvAXF6ksVlZWhuLi4gDb/ZoSl7KyMni9XqSmppIyl2QBM2HCBOzZswc7d+7E5s2bkZKSgn79+uGOO+4I6U8mI1MVcslLplapaK1fVlaG2NhYUBSFBQsWwGAw4J133qnns6x//KOOPR5PwMrlcvczjEYj3G53gJhI8DyP0tJSOBwOtGjRAkqlEmfPnsVPP/2Etm3bonv37jXxtmSuPuQ9FJmGS0VBqe5j1zM1kelSXl4Op9OJtLS0oO3Der0+QExkZP5F3kORuXqQXJABYOvWrcjOzq7nM2p4VMx0kTb0q5vpUl5eDofDgfT09KBiYjAYYLfbZTGRqXHkFYpMrRHMuHL//v04ceIEACAtLQ2zZs0iAiNTNVKmi8lkgsvlCprpcvLkSYSFhSEtLS3oPkxpaSmsVitatGhRY55gMtcUcslLRuZ6wz/TxeFwQKvV4pdffsG+ffuwePHioGJiNBphMpnQvHnzOrOJkbnqkAVFRuZ6hmVZrF69Gps2bcLUqVMRHR1dyfa+vLwcRqMRLVq0kMVEpirkPRQZmeuZH3/8EVu3bsXy5cuhVCphNpthMplIjr1CoYDL5ZJXJjK1jiwoMjJXOU6nEx9++CEJ/UpISEBCQgLJdNHr9WjatGmthYLJyEjIJS8ZGRkZGQm55CUjc6kUFxfjhRdegNFoBEVRGDp0KEaPHg2z2YypU6eisLAQaWlpmD9//nU1yS8jcyXIKxSZ6xKDwYDS0lK0bt0adrsdQ4YMweLFi7F+/XrExMRg/PjxWLJkCSwWC55//vn6Pl0ZmbriilYocq6nzHVJUlISWrduDQCIiIhAVlYW9Ho9tm3bhsGDBwMABg8ejK1bt9bjWcrIXF3IgiJz3VNQUIDjx4+jXbt2MBqNZNAyMTERRqOxns9ORubqQRYUmesah8OByZMn46WXXkJERETAYxRFVSuj/Xpj586d6N+/P/r27YslS5bU9+nINCBkQZG5bvH5fJg8eTIGDhyIfv36AQDi4+NhMBgAiPssUrKkjAjHcZg1axaWLl2KzZs3Y9OmTThz5kx9n5ZMA0EWFJnrEkEQ8PLLLyMrKwtjxowh/9+7d29s3LgRALBx40b06dOnns6wYXLkyBFkZGSgUaNGUKlUGDBgALZt21bfpyXTQJAFRea65ODBg/jmm2+wd+9eDBo0CIMGDcKvv/6K8ePHY9euXejXrx92796N8ePH1/epNij0ej2Sk5PJv3U6HfR6fT2ekUxDQp5Dkbku6dixI06ePBn0sRUrVtTx2cjIXBvIKxQZGZlqo9PpUFJSQv6t1+uh0+nq8YxkGhKyoMjIyFSbtm3bIicnB/n5+fB6vdi8eTN69+5d36cl00CQS14yMjLVRqFQYObMmXjsscfAcRyGDBkip27KEGTrFRkZGRkZCdkcUkbmWiSUgeWiRYvw1VdfkRmZadOmoWfPnvV8tjIy8gpFRqbBEsrAcsuWLQgLC8O4cePq+xRlrj3kFYqMzLVIUlIS8RXzN7CUkWmoyF1eMjJXAf4GlgCwatUqDBw4EDNmzIDFYqnns5OREZFLXjIyDRyHw4GRI0diwoQJ6NevH8rKyhAbGwuKorBgwQIYDAa888479X2aMtcGch6KjMy1SjADy4SEBDAMA5qm8eCDD+Lo0aP1fJYyMiKyoMjINFBCGVhKbsgAsHXrVnkORKbBIJe8ZGQaKH/88QdGjBiB5s2bg6bFe79p06Zh06ZNOHHiBAAgLS0Ns2bNIpv3MjJXyBWVvGRBkZGRkZGRqNW2YTmuTkZGRkamWsh7KDIyMjIyNYIsKDIyMjIyNYIsKDIyMjIyNYIsKDIyMjIyNYIsKDIyMjIyNYIsKDIyMjIyNYIsKDIyMjIyNcL/AyXG8mNbVS3bAAAAAElFTkSuQmCC\n",
+      "text/plain": [
+       "<Figure size 720x504 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "#Creating plot with the data\n",
+    "# Import libraries\n",
+    "from mpl_toolkits import mplot3d\n",
+    "import numpy as np\n",
+    "import matplotlib.pyplot as plt\n",
+    "\n",
+    "# Creating dataset\n",
+    "z =zcoords \n",
+    " \n",
+    "# Creating figure\n",
+    "fig = plt.figure(figsize = (10, 7))\n",
+    "ax = plt.axes(projection =\"3d\")\n",
+    " \n",
+    "# Creating plot\n",
+    "ax.scatter3D(x, y, z, color = \"green\")\n",
+    "plt.title(\"simple 3D scatter plot\")\n",
+    "\n",
+    " \n",
+    "# show plot\n",
+    "plt.show()\n"
+   ]
+  },
+  {
+   "attachments": {
+    "image.png": {
+     "image/png": 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"
+    }
+   },
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "### Distribución Gaussiana\n",
+    "Trabajamos primero considerando solo los pixeles de la línea que pasa por la mitad de la estrella, obteniendo un vector de valores de intensidad luminosa solo para esa linea. Lo graficamos y lo ajustamos a una una función gaussiana 1D\n",
+    "![image.png](attachment:image.png)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 351,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "Text(0, 0.5, 'Intensity of pixels')"
+      ]
+     },
+     "execution_count": 351,
+     "metadata": {},
+     "output_type": "execute_result"
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 432x288 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "#tomar solo los pixeles de la línea que pasa por la mitad de la estrella\n",
+    "#Valores de intensidad de pixeles correpondiente al valor 12 del array X\n",
+    "import numpy as np\n",
+    "import matplotlib.pyplot as plt\n",
+    "plt.style.use('seaborn-whitegrid')\n",
+    "%matplotlib inline\n",
+    "\n",
+    "Zlinea=[]\n",
+    "Ylinea=[]\n",
+    "j=0\n",
+    "for i in range(z.size-1):\n",
+    "    if x[i]==12:\n",
+    "        Zlinea =np.insert(Zlinea, j, z[i])\n",
+    "        j=j+1\n",
+    "j=0        \n",
+    "for i in range(z.size-1):\n",
+    "    if x[i]==12:\n",
+    "        Ylinea =np.insert(Ylinea, j, y[i])\n",
+    "        j=j+1\n",
+    "        \n",
+    "plt.plot(Ylinea, Zlinea, 'o', color='blue');        \n",
+    "plt.xlabel('Position in image')\n",
+    "plt.ylabel('Intensity of pixels')\n",
+    "        \n"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 337,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Fitted parameters:\n",
+      "[ 0.97409685 12.68315045  8.98659285]\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": 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\n",
+      "text/plain": [
+       "<Figure size 432x288 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "import numpy as np\n",
+    "import matplotlib.pyplot as plt\n",
+    "from numpy import asarray as ar, exp, sqrt\n",
+    "from scipy.optimize import curve_fit\n",
+    "\n",
+    "YLa = ar(Ylinea)\n",
+    "ZLa = ar(Zlinea)\n",
+    "\n",
+    "n = len(ZLa)  ## <---\n",
+    "mean = sum(ZLa*YLa)/n\n",
+    "sigma = sqrt(sum(ZLa*(YLa-mean)**2)/n)\n",
+    "\n",
+    "def gaus(x,a,mu,sigma):\n",
+    "    return a*exp(-(x-mu)**2/(2*sigma**2))\n",
+    "\n",
+    "popt,pcov = curve_fit(gaus,YLa,ZLa) # first estimation of the parameters\n",
+    "print('Fitted parameters:')\n",
+    "print(popt)\n",
+    "\n",
+    "xx = np.linspace( 0, 25, 100 )  ## <--- calculate against a continuous variable\n",
+    "\n",
+    "fig = plt.figure()\n",
+    "plt.plot(YLa, ZLa, \"ob\", label = \"Measured\")\n",
+    "plt.plot(xx,gaus(xx,*popt),'r',label='Fit')  ## <--- plot against the contious variable\n",
+    "plt.xlim(0, 25)\n",
+    "plt.ylim(0.4, 1.1)\n",
+    "plt.xticks(YLa)\n",
+    "plt.title(\"Fitting gaussian on pixel data of star image\")\n",
+    "plt.xlabel(\"Position in image\")\n",
+    "plt.ylabel(\"Intensity of pixels\")\n",
+    "plt.grid()\n",
+    "plt.legend()\n",
+    "plt.savefig('Fitting2D.png')\n",
+    "plt.show()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 336,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 432x288 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "#Generating an histogram of the pixel values\n",
+    "plt.hist(Zlinea, bins = 'auto')\n",
+    "plt.xlabel('Intervals of Intensity of pixels')\n",
+    "plt.ylabel('Number of pixels')\n",
+    "plt.show()"
+   ]
+  },
+  {
+   "attachments": {
+    "image.png": {
+     "image/png": 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"
+    }
+   },
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "### Distribución Gaussiana multivariante\n",
+    "Trabajamos ahora considerando todos los pixeles de la imagen de la estrella, usando los valores de los vectores de posición (x, y) y de intensidad lumninosa: pixeles (z). Lo graficamos y lo ajustamos a una una función gaussiana 2D.\n",
+    "![image.png](attachment:image.png)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 352,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "image/png": 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\n",
+      "text/plain": [
+       "<Figure size 432x288 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "import numpy as np\n",
+    "from scipy.optimize import curve_fit\n",
+    "import matplotlib.pyplot as plt\n",
+    "from mpl_toolkits.mplot3d import Axes3D\n",
+    "from numpy import asarray as ar, exp, sqrt\n",
+    "\n",
+    "# The two-dimensional domain of the fit.\n",
+    "xmin, xmax, nx = np.min(x), np.max(x), np.size(x)\n",
+    "ymin, ymax, ny = np.min(y), np.max(y), np.size(y)\n",
+    "#xTa, yTa = np.linspace(xmin, xmax, nx), np.linspace(ymin, ymax, ny)\n",
+    "xTa = ar(x)\n",
+    "yTa = ar(y)\n",
+    "\n",
+    "XTa, YTa = np.meshgrid(xTa, yTa)\n",
+    "\n",
+    "#sigma_YTa = sqrt(sum(z*(yTa-12)**2)/(np.size)\n",
+    "sigma_YTa = sqrt(sum(z*(yTa-12)**2)/625)\n",
+    "\n",
+    "\n",
+    "# Our function to fit is a two-dimensional Gaussians\n",
+    "def gaussian(x, y, x0, y0, xalpha, yalpha, A):\n",
+    "    return A * np.exp( -0.5*((x-x0)/xalpha)**2 -0.5*((y-y0)/yalpha)**2)\n",
+    "\n",
+    "# A list of the Gaussian parameters: x0, y0, xalpha, yalpha, A\n",
+    "\n",
+    "gprms=[12,12,sigma_YTa,sigma_YTa,1]\n",
+    "\n",
+    "# Standard deviation of normally-distributed noise to add in generating\n",
+    "# our test function to fit.\n",
+    "noise_sigma = 0.1\n",
+    "\n",
+    "# The function to be fit is Z.\n",
+    "ZTa = gaussian(XTa, YTa, 12,12,sigma_YTa,sigma_YTa,1)\n",
+    "\n",
+    "# Plot the 3D figure of the gaussian function.\n",
+    "fig = plt.figure()\n",
+    "ax = fig.gca(projection='3d')\n",
+    "ax.plot_surface(XTa, YTa, ZTa, cmap=cm.viridis,rstride=3, cstride=3, linewidth=1, antialiased=True)\n",
+    "ax.set_zlim(0,np.max(ZTa))\n",
+    "\n",
+    "cset = ax.contourf(XTa, YTa, ZTa, zdir='z', offset=-0.95, cmap=cm.viridis)\n",
+    "\n",
+    "# Adjust the limits, ticks and view angle\n",
+    "ax.set_zlim(-0.95,1.0)\n",
+    "ax.set_zticks(np.linspace(0,1,5))\n",
+    "ax.view_init(27, -21)\n",
+    "\n",
+    "plt.show()"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "Usamos los datos de intensidad luminosa generados por la función gaussiana, asi como los datos de posición (x e y) para ajustar la gaussiana a los datos iniciales de intensidad luminosa (z)\n",
+    "Usamos  el ajuste no lineal leastsq de scipy, y obtenemos imagnese reconstruidas de la estrella sin y con ajuste"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 362,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "The average error between gaussian model and data is:\n",
+      "-0.33308824487283\n",
+      "Fitted parameters:\n",
+      "[12.31003544 12.64869953 11.72961613 11.65211515  0.84817359]\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": 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\n",
+      "text/plain": [
+       "<Figure size 432x288 with 3 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "The original data has an average of:  0.5972459312941176\n",
+      "The original data has an standard deviation of:  0.1470436454930245\n",
+      "The data generated directly from gaussian model has an average of:  0.2641576864212876\n",
+      "The data generated directly from gaussian model has an standard deviation of:  0.25792679949611685\n",
+      "The fitted data has an average of:  0.5953058814848675\n",
+      "The fitted data has an standard deviation of:  0.13721730657930556\n"
+     ]
+    }
+   ],
+   "source": [
+    "from scipy.optimize import leastsq\n",
+    "#print(ZTa)\n",
+    "#print(np.size(ZTa))\n",
+    "ZTr = [z]\n",
+    "for i in range(z.size-1):\n",
+    "    ZTr = np.append(ZTr, [z], 0)\n",
+    "\n",
+    "#print(ZTr)\n",
+    "#print(np.size(ZTr))\n",
+    "\n",
+    "parameters=[12,12,sigma_YTa,sigma_YTa,1]\n",
+    "\n",
+    "def gaussian3D(params,x, y):\n",
+    "    #z = params[4] * np.exp( -((x-params[0])/params[2])**2 -((y-params[1])/params[3])**2)\n",
+    "    z = params[4] * np.exp( -0.5*((x-params[0])/(params[2]))**2 -0.5*((y-params[1])/(params[3]))**2)\n",
+    "    return z\n",
+    "zOriginal=gaussian3D(parameters,xTa,yTa)\n",
+    "\n",
+    "\n",
+    "def error3D(params,x,y,z, cols, rows):\n",
+    "    errors = (gaussian3D(params,x,y)-z)\n",
+    "    return errors.reshape(cols*rows)\n",
+    "\n",
+    "obtained_error=error3D(parameters,xTa,yTa, z, 25, 25)\n",
+    "\n",
+    "print('The average error between gaussian model and data is:')\n",
+    "print(np.average(obtained_error))\n",
+    "\n",
+    "best3D,sus3D = leastsq(error3D, parameters, args = (xTa,yTa, z, 25, 25))\n",
+    "\n",
+    "print('Fitted parameters:')\n",
+    "print(best3D)\n",
+    "Fitted_parameters=[12.31,12.31,16.59,16.59,0.84]\n",
+    "\n",
+    "#Using the fitted parameters for obtaining pixel values\n",
+    "zFitted=gaussian3D(best3D,xTa,yTa)\n",
+    "\n",
+    "#Showing the imagen of star with original values, values according to gaussian function and values according to fitted parameters\n",
+    "plt.subplot(1, 3, 1)\n",
+    "star01_01 = z.reshape(25, 25)\n",
+    "plt.title('original')\n",
+    "plt.imshow(star01_01,cmap=\"gray\")\n",
+    "plt.grid(None) \n",
+    "plt.subplot(1, 3, 2)\n",
+    "star01_02 = zOriginal.reshape(25, 25)\n",
+    "plt.title('Gaussian')\n",
+    "plt.imshow(star01_02,cmap=\"gray\")\n",
+    "plt.grid(None) \n",
+    "plt.subplot(1, 3, 3)\n",
+    "star01_03 = zFitted.reshape(25, 25)\n",
+    "plt.title('Fitted')\n",
+    "plt.imshow(star01_03,cmap=\"gray\")\n",
+    "plt.grid(None) \n",
+    "plt.show()\n",
+    "\n",
+    "#Calculando algunos parámetros estadísticos para los 3 casos\n",
+    "print(\"The original data has an average of: \",np.average(z))\n",
+    "print(\"The original data has an standard deviation of: \",np.std(z))\n",
+    "\n",
+    "print(\"The data generated directly from gaussian model has an average of: \",np.average(zOriginal))\n",
+    "print(\"The data generated directly from gaussian model has an standard deviation of: \",np.std(zOriginal))\n",
+    "\n",
+    "print(\"The fitted data has an average of: \",np.average(zFitted))\n",
+    "print(\"The fitted data has an standard deviation of: \",np.std(zFitted))"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "### 2. Procesando la información de la segunda estrella seleccionada \n",
+    "Trabajamos con los arrays conteniendo los valores para las variables de posición (x2 e y2) y de la intensidad de pixeles (z2) provenientes de la imagen de tercera estrella seleccionada."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 357,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 432x288 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "#Working with a SECOND STAR\n",
+    "#based in coordinates of gray image crop the stars\n",
+    "star02 = imagen_gris[307:326,618:637] \n",
+    "plt.imshow(star02, cmap ='gray')\n",
+    "plt.grid(None) \n",
+    "plt.show()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 358,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "image/png": 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\n",
+      "text/plain": [
+       "<Figure size 720x504 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "# Generate a 3D Plot\n",
+    "# Import libraries\n",
+    "from mpl_toolkits import mplot3d\n",
+    "import numpy as np\n",
+    "import matplotlib.pyplot as plt\n",
+    "\n",
+    "# get coordinates (y,x) --- alternately see below for (x,y)\n",
+    "yx_coords2 = np.column_stack(np.where(star02 >= 0))\n",
+    "\n",
+    "#Generating vectors of x and y coordinates from x,y array\n",
+    "y2=[item[0] for item in yx_coords2]\n",
+    "x2=[item[1] for item in yx_coords2]\n",
+    "\n",
+    "#Generating a vector from matrix of pixeles\n",
+    "zcoords2 = star02.flatten()\n",
+    "\n",
+    "# Creating dataset\n",
+    "z2 =zcoords2 \n",
+    " \n",
+    "# Creating figure\n",
+    "fig = plt.figure(figsize = (10, 7))\n",
+    "ax = plt.axes(projection =\"3d\")\n",
+    " \n",
+    "# Creating plot\n",
+    "ax.scatter3D(x2, y2, z2, color = \"green\")\n",
+    "plt.title(\"Simple 3D scatter plot for Star 2\")\n",
+    " \n",
+    "# show plot\n",
+    "plt.show()\n"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 361,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "The average error between gaussian model and data is:\n",
+      "-0.2504618299460217\n",
+      "Fitted parameters:\n",
+      "[9.15491427 8.91137258 8.54230266 8.65676436 0.66111467]\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 432x288 with 3 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "The original data has an average of:  0.45683074900874476\n",
+      "The original data has an standard deviation of:  0.1332971573460381\n",
+      "The data generated directly from gaussian model has an average of:  0.20636891906272306\n",
+      "The data generated directly from gaussian model has an standard deviation of:  0.24861526646143148\n",
+      "The fitted data has an average of:  0.454608092485463\n",
+      "The fitted data has an standard deviation of:  0.11042951535837742\n"
+     ]
+    }
+   ],
+   "source": [
+    "from scipy.optimize import leastsq\n",
+    "\n",
+    "xTa2 = ar(x2)\n",
+    "yTa2 = ar(y2)\n",
+    "\n",
+    "#Calculating parameters\n",
+    "xTa2_average=np.average(xTa2)\n",
+    "yTa2_average=np.average(yTa2)\n",
+    "\n",
+    "sigma_yTa2 = sqrt(sum(z2*(yTa2-9)**2)/361)\n",
+    "\n",
+    "parameters2=[9,9,sigma_yTa2,sigma_yTa2,1]\n",
+    "\n",
+    "def gaussian3D(params,x, y):\n",
+    "    z = params[4] * np.exp( -0.5*((x-params[0])/(params[2]))**2 -0.5*((y-params[1])/(params[3]))**2)\n",
+    "    return z\n",
+    "zOriginal2=gaussian3D(parameters2,xTa2,yTa2)\n",
+    "\n",
+    "\n",
+    "def error3D(params,x,y,z, cols, rows):\n",
+    "    errors = (gaussian3D(params,x,y)-z)\n",
+    "    return errors.reshape(cols*rows)\n",
+    "\n",
+    "obtained_error2=error3D(parameters2,xTa2,yTa2, z2, 19, 19)\n",
+    "\n",
+    "print('The average error between gaussian model and data is:')\n",
+    "print(np.average(obtained_error2))\n",
+    "\n",
+    "\n",
+    "best3D2,sus3D2 = leastsq(error3D, parameters2, args = (xTa2,yTa2, z2, 19, 19))\n",
+    "\n",
+    "print('Fitted parameters:')\n",
+    "print(best3D2)\n",
+    "\n",
+    "\n",
+    "#Using the fitted parameters for obtaining pixel values\n",
+    "zFitted2=gaussian3D(best3D2,xTa2,yTa2)\n",
+    "\n",
+    "#Showing the imagen of star with original values, values according to gaussian function and values according to fitted parameters\n",
+    "plt.subplot(1, 3, 1)\n",
+    "star02_01 = z2.reshape(19, 19)\n",
+    "plt.title('original')\n",
+    "plt.imshow(star02_01,cmap=\"gray\")\n",
+    "plt.grid(None) \n",
+    "plt.subplot(1, 3, 2)\n",
+    "star02_02 = zOriginal2.reshape(19, 19)\n",
+    "plt.title('Gaussian')\n",
+    "plt.imshow(star02_02,cmap=\"gray\")\n",
+    "plt.grid(None) \n",
+    "plt.subplot(1, 3, 3)\n",
+    "star02_03 = zFitted2.reshape(19, 19)\n",
+    "plt.title('Fitted')\n",
+    "plt.imshow(star02_03,cmap=\"gray\")\n",
+    "plt.grid(None) \n",
+    "plt.show()\n",
+    "\n",
+    "#Calculando algunos parámetros estadísticos para los 3 casos\n",
+    "print(\"The original data has an average of: \",np.average(z2))\n",
+    "print(\"The original data has an standard deviation of: \",np.std(z2))\n",
+    "\n",
+    "print(\"The data generated directly from gaussian model has an average of: \",np.average(zOriginal2))\n",
+    "print(\"The data generated directly from gaussian model has an standard deviation of: \",np.std(zOriginal2))\n",
+    "\n",
+    "print(\"The fitted data has an average of: \",np.average(zFitted2))\n",
+    "print(\"The fitted data has an standard deviation of: \",np.std(zFitted2))"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "### 2. Procesando la información de la Tercera estrella seleccionada \n",
+    "Trabajamos con los arrays conteniendo los valores para las variables de posición (x3 e y3) y de la intensidad de pixeles (z3) provenientes de la imagen de tercera estrella seleccionada."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 341,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "image/png": 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\n",
+      "text/plain": [
+       "<Figure size 432x288 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "#Working with a THIRD STAR\n",
+    "#based in coordinates of gray image crop the stars\n",
+    "star03 = imagen_gris[369:388,441:460] \n",
+    "plt.imshow(star03, cmap ='gray')\n",
+    "plt.grid(None) \n",
+    "plt.show()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 343,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "image/png": 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\n",
+      "text/plain": [
+       "<Figure size 720x504 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "# Generate a 3D Plot\n",
+    "# Import libraries\n",
+    "from mpl_toolkits import mplot3d\n",
+    "import numpy as np\n",
+    "import matplotlib.pyplot as plt\n",
+    "\n",
+    "# get coordinates (y,x) --- alternately see below for (x,y)\n",
+    "yx_coords3 = np.column_stack(np.where(star03 >= 0))\n",
+    "\n",
+    "#Generating vectors of x and y coordinates from x,y array\n",
+    "y3=[item[0] for item in yx_coords3]\n",
+    "x3=[item[1] for item in yx_coords3]\n",
+    "\n",
+    "#Generating a vector from matrix of pixeles\n",
+    "zcoords3 = star03.flatten()\n",
+    "\n",
+    "# Creating dataset\n",
+    "z3 =zcoords3 \n",
+    " \n",
+    "# Creating figure\n",
+    "fig = plt.figure(figsize = (10, 7))\n",
+    "ax = plt.axes(projection =\"3d\")\n",
+    " \n",
+    "# Creating plot\n",
+    "ax.scatter3D(x3, y3, z3, color = \"green\")\n",
+    "plt.title(\"Simple 3D scatter plot for Star 3\")\n",
+    " \n",
+    "# show plot\n",
+    "plt.show()\n"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 360,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "The average error between gaussian model and star 3 data is:\n",
+      "-0.2504618299460217\n",
+      "Fitted parameters:\n",
+      "[ 9.18996877  8.30415795 11.50308609 11.38848193  0.58975201]\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 432x288 with 3 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "The original data has an average of:  0.4736430003802075\n",
+      "The original data has an standard deviation of:  0.09551903614251601\n",
+      "The data generated directly from gaussian model has an average of:  0.22400209120618317\n",
+      "The data generated directly from gaussian model has an standard deviation of:  0.2523793578898535\n",
+      "The fitted data has an average of:  0.4730893645054868\n",
+      "The fitted data has an standard deviation of:  0.06740127908186569\n"
+     ]
+    }
+   ],
+   "source": [
+    "from scipy.optimize import leastsq\n",
+    "\n",
+    "xTa3 = ar(x3)\n",
+    "yTa3 = ar(y3)\n",
+    "\n",
+    "#Calculating parameters\n",
+    "xTa3_average=np.average(xTa3)\n",
+    "yTa3_average=np.average(yTa3)\n",
+    "\n",
+    "sigma_yTa3 = sqrt(sum(z3*(yTa3-9)**2)/361)\n",
+    "\n",
+    "parameters3=[9,9,sigma_yTa3,sigma_yTa3,1]\n",
+    "\n",
+    "def gaussian3D(params,x, y):\n",
+    "    z = params[4] * np.exp( -0.5*((x-params[0])/(params[2]))**2 -0.5*((y-params[1])/(params[3]))**2)\n",
+    "    return z\n",
+    "zOriginal3=gaussian3D(parameters3,xTa3,yTa3)\n",
+    "\n",
+    "\n",
+    "def error3D(params,x,y,z, cols, rows):\n",
+    "    errors = (gaussian3D(params,x,y)-z)\n",
+    "    return errors.reshape(cols*rows)\n",
+    "\n",
+    "obtained_error3=error3D(parameters3,xTa3,yTa3, z3, 19, 19)\n",
+    "\n",
+    "print('The average error between gaussian model and star 3 data is:')\n",
+    "print(np.average(obtained_error2))\n",
+    "\n",
+    "\n",
+    "best3D3,sus3D3 = leastsq(error3D, parameters3, args = (xTa3,yTa3, z3, 19, 19))\n",
+    "\n",
+    "print('Fitted parameters:')\n",
+    "print(best3D3)\n",
+    "\n",
+    "\n",
+    "#Using the fitted parameters for obtaining pixel values\n",
+    "zFitted3=gaussian3D(best3D3,xTa3,yTa3)\n",
+    "\n",
+    "#Showing the imagen of star with original values, values according to gaussian function and values according to fitted parameters\n",
+    "plt.subplot(1, 3, 1)\n",
+    "star03_01 = z3.reshape(19, 19)\n",
+    "plt.title('original')\n",
+    "plt.imshow(star03_01,cmap=\"gray\")\n",
+    "plt.grid(None) \n",
+    "plt.subplot(1, 3, 2)\n",
+    "star03_02 = zOriginal3.reshape(19, 19)\n",
+    "plt.title('Gaussian')\n",
+    "plt.imshow(star03_02,cmap=\"gray\")\n",
+    "plt.grid(None) \n",
+    "plt.subplot(1, 3, 3)\n",
+    "star03_03 = zFitted3.reshape(19, 19)\n",
+    "plt.title('Fitted')\n",
+    "plt.imshow(star03_03,cmap=\"gray\")\n",
+    "plt.grid(None) \n",
+    "plt.show()\n",
+    "\n",
+    "#Calculando algunos parámetros estadísticos para los 3 casos\n",
+    "print(\"The original data has an average of: \",np.average(z3))\n",
+    "print(\"The original data has an standard deviation of: \",np.std(z3))\n",
+    "\n",
+    "print(\"The data generated directly from gaussian model has an average of: \",np.average(zOriginal3))\n",
+    "print(\"The data generated directly from gaussian model has an standard deviation of: \",np.std(zOriginal3))\n",
+    "\n",
+    "print(\"The fitted data has an average of: \",np.average(zFitted3))\n",
+    "print(\"The fitted data has an standard deviation of: \",np.std(zFitted3))\n",
+    "\n",
+    "\n"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
+   "source": []
+  }
+ ],
+ "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": "3.7.3"
+  }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 4
+}
-- 
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