nikolai_p1.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "# imports\n",
    "import tensorflow as tf\n",
    "import math\n",
    "import itertools\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# because lazy\n",
    "def exp(x):\n",
    "  return math.exp(x)\n",
    "def tanh(x):\n",
    "  return math.tanh(x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "# define Model\n",
    "class ForwardModel(tf.keras.Model):\n",
    "  def __init__(self, **kwargs):\n",
    "    super().__init__(**kwargs)\n",
    "  \n",
    "  def build(self, _):  # Create the state of the layer (weights)\n",
    "    self.Theta = tf.Variable([0.12, 1.6, 3.2, 1.5, -1.1, 3.2, 1.4, 0.54, -3.3, 3.8, 2.6, -4.5, -3.4, -2.0, -3.3, 1.7, 3.2, 7.2, -6.0, -1.8])\n",
    "\n",
    "  def call(self, x):\n",
    "    a=1/(1+exp(-(self.Theta[0]*x[0]+self.Theta[1]*x[1]+self.Theta[2])))\n",
    "    b=1/(1+exp(-(self.Theta[3]*x[0]+self.Theta[4]*x[1]+self.Theta[5])))\n",
    "    c=1/(1+exp(-(self.Theta[6]*x[0]+self.Theta[7]*x[1]+self.Theta[8])))\n",
    "    d=1/(1+exp(-(self.Theta[9]*a+self.Theta[10]*b+self.Theta[11]*c+self.Theta[12])))\n",
    "    e=1/(1+exp(-(self.Theta[13]*a+self.Theta[14]*b+self.Theta[15]*c+self.Theta[16])))\n",
    "    hat_y=tanh(self.Theta[17]*d+self.Theta[18]*e+self.Theta[19])\n",
    "    return hat_y"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "2023-10-19 20:05:49.157929: I tensorflow/compiler/xla/stream_executor/cuda/cuda_gpu_executor.cc:981] could not open file to read NUMA node: /sys/bus/pci/devices/0000:29:00.0/numa_node\n",
      "Your kernel may have been built without NUMA support.\n",
      "2023-10-19 20:05:49.276668: W tensorflow/core/common_runtime/gpu/gpu_device.cc:1960] Cannot dlopen some GPU libraries. Please make sure the missing libraries mentioned above are installed properly if you would like to use GPU. Follow the guide at https://www.tensorflow.org/install/gpu for how to download and setup the required libraries for your platform.\n",
      "Skipping registering GPU devices...\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
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-1]\n"
     ]
    }
   ],
   "source": [
    "model = ForwardModel()\n",
    "\n",
    "# Define the range for dimensions\n",
    "dimensions = np.arange(-6, 6.1, 0.1)\n",
    "\n",
    "x_coordinates = []\n",
    "y_coordinates = []\n",
    "classes = []\n",
    "\n",
    "for i, j in itertools.product(range(len(dimensions)), range(len(dimensions))):\n",
    "    x = dimensions[i]\n",
    "    y = dimensions[j]\n",
    "    x_coordinates.append(x)\n",
    "    y_coordinates.append(y)\n",
    "    class_val = -1\n",
    "    if model(tf.constant([x,y])) > 0:\n",
    "        class_val = 1\n",
    "    \n",
    "    classes.append(class_val)\n",
    "\n",
    "# Print the results\n",
    "print(\"x_coordinates:\", x_coordinates)\n",
    "print(\"y_coordinates:\", y_coordinates)\n",
    "print(\"classes:\", classes)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "No artists with labels found to put in legend.  Note that artists whose label start with an underscore are ignored when legend() is called with no argument.\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot\n",
    "color_mapping = {1: 'green', -1: 'red'}\n",
    "markercolors = [color_mapping.get(label, 'gray') for label in classes]\n",
    "plt.scatter(x_coordinates, y_coordinates, c=markercolors, marker='o', edgecolor='none')\n",
    "plt.legend().set_visible(False)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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qCiUlJT593/DwMFpbW09yXAakSy9JnTozGAyoq6sDwzCiMAqVQMLXOlulODcOymQyREVFYXJyckGmToaDcNzww31d4fXrq12OY8QTqF2O4A/oK47C42r6qKPw0OmjrqFCs8A4p8rkcrlPT+reHJcB6SIaKVNn4+PjaGxsRG5uLlatWuXTG5xlWfEptri4GDabDa2trTAYDOjp6YFer0dCQoIY7Ugx/CsSWMqpM1fX9NRH48ouR3j4GBsbQ0dHxzy7nOTkZERHR/t07WDLqh0rQen0Ud+gQrOAuBqx7Is4+OK4DERW6kwQ1MbGRqxbt06sRAoEuVyO2NhYKBQKrF69GmazGWq1Whz+ZbVa581gSUhIWLRv6OUS0Qii6usN3/HhA7C/l5yj3ujo6HkRj7v3iZT9OwAVHl+gQrMAOPfGOL7APImDP47LgHSps2AjGqPRiJaWFvA8j507dyIuLi7oPTn+3FFRUcjOzhaHfxkMBmg0GqjVagwMDACAeFNKSUlZMEfiYFluEQ3gu9A448oux3EOT0tLC+Li4uad8QjpVudiAKnxJDwDAwPQarViD89yGQJHhSbECL0xgpg4N2BK5bjsaS1/CUawJicn0dDQgOTkZBgMBklERsDVnhiGQVxcHOLi4pCXlwee56HT6aBWqzExMYHOzk4olUoxzSa1MaTUhOOGHw6hcXw/SIFcLkdaWpqYUna2y2lqahLtcoxG44K+Bhzf80Ibg/BeXS7TR6nQhAjHTmRPvTGuxMHRcXnHjh0+GxeGM3VGCEFXVxf6+vqwZs0aJCUl4fDhwx6v4e+efIFlWSQmJiIxMRErVqwQUyxqtVo0hoyLixOjHZVKFZBNTygIR0QjXHOxRTTecGWXI1S0aTQacBwHrVYrRjzClM9Qw3HcSWafrqaPuiqnXszCExnvsCWGP70xMplMEsdl4TrhKAYwm81oaGiA0WjE9u3bkZCQAJ1OFxFjApxTLIIFiUajQWdnJ0wmk9itnpKSgsTExLA6/obrhr/YIxpvKJVKZGZmIjMzEzzPQ6FQID4+HjMzM2hra4PFYvFolyMVgtA44s6Z2lF4vvnNb+Kqq67CN7/5Tcn3tBBQoZEY5xHL3t5IUjkuA+Epbxair+TkZFRUVIjRgRSVa857kgKFQjHPn8uxW72xsRE8z4sDvxY6rbScIhqh4iwcT+g8z0OpVM475zOZTCfZ5SQlJUGlUvnkXOErroTGGVfCMzY2FjGRdyAs3p1HGIHayLAsC47j8NlnnwXluOy4VrD4kjojhKC3txfd3d1uoy9PN85AbjChuBE726To9Xqo1WpMTk7CZrPh008/ndc4GsqJk8DyiWhCaajpDVfOAM6vA6HARLDL4XlerGxMTk4OuLKR4zi/Z/gwDAODwYDY2Fi/rxcpUKGRgEBtZHieR09PDwBg1apVyMvLC2ofLMvOa4QMFG8RjWOhwtatW5GUlORyDUC6iqaFuBEyDIP4+HjEx8dDpVKhrq4O69evh0ajwejoKNrb28USWuF8J5jBX84sx4gmHPjiDOBYYCI8gAjC09/fDwDzKtp8tUwKpOJNuH5CQoJf3xdJUKEJEle9Mb4gOC4L4pSdnR30XhaivHl2dha1tbVISEjwWKgQCqFZ6BsxwzDiQK+ioqJ5JbR9fX3Q6XSIj48Xox0pDpSXS0QjdS+LPwTiDCA8gOTn54MQIroWTE9Po6enx2e7HH+vLaDX6yWt4FxoqNAEiGNvjJAGCMRxuaSkBAcOHJCktj+UVWdCD0BHR4fPPT3C97ljsbkxO5fQWiwWsXFUOFBOSkpC8om8fuLcHGSjo2AmJsAODwM2G7jyciA+HmxvL5i2NrDT04DRCJKdjaToaMSq1VAmJYEvKgK3axfIibOkULFcU2fBOgMIlY2FhYUe7XIcXQsYhvHpjMYVwlC5xQoVmgDwd8SygCvHZeGGznFc0P5doeqjEexvNBoNqqqqxAoub2sA7sXEX5EJR0TjEbUaURYLcvr6kDc4CPT1gR8ZAVNbC2Z0FLLZWbBWK1iOA+Pj3+SkmFYuB5+dDa66GiQlBYzRCFgs4Fevhu3ii0FWrAj6xxAiTpo6CxxnuxyO4zA3Nzcv5RoVFQWVSgWTyeT3e9RiscBqtSI+Pl6yPS80VGj8QOiN0Wg0qKurwymnnBK047Lw/eFutHTEMXWm1WpRW1uLmJgY7Nixw+dGN18iGn9ZUKGx2RDf3w9WqQQ7OAimpwdsezuYkRGwAwOAVgtGpwPDcUCo9mWzgR0cBDs4eNKnon77W5CUFHA7dsB6xRXgdu0CAmhCDJehZjhTZ6G+tkwmO8kuZ2ZmBjMzM7BYLGhvb8fAwMC8iMfTWZ9OpwMAKjTLAccDf6Ec0pc3qC+Oy1L2v0gpWMPDw2hpacGKFStQWlrq1w1JaqEJ5c2QbW2FbP9+yOrqgK4usOPjiJuZQabZDNkJ26CIgxAw09OQv/kmZO+8A27HDpifegrEz7O+SHBuXmhCbUHjjEwmQ2pqKlJTUzE+Po6VK1cCgFhY0NzcLDYRC2d9jtkNnU4HhmFo1dlSx7k3Ri6Xi4Lj6U1qs9nQ3NyM6elpt47LgLSNllKsQwgRu+k3bdokdlf7Q8RFNCYTYDTaz0u6u8EODYGZnITs7bftkYqLar3F4gfN2GyQf/wxZOvXgzvzTFivuQbcGWcAPqRiwxnRLJXUmT8I5c2JiYnz7HKEijbBnVywy+nt7UVSUhJiY2OD3vPHH3+MP/zhDzh+/DhGR0fx6quvYs+ePR6/5+DBg7jpppvQ3NyM/Px83H777fjOd77j97Wp0HjAXW+M40Akd28WXx2XgcjwKBPQ6/Xo6+sDx3HYuXNnwH0jERHRzM4CGg2i/vhHyA4cADM5CcZsxomNSbKvSIKxWCB/5x3I9++H9ayzYH7yScBL4+9yTJ0FWvkl1bWdoynnJmKz2YyZmRlMT0/j5z//Ofr7+8GyLG677TaceeaZ2LlzZ0DRjV6vx8aNG3HNNdfgkksu8fr1vb29OP/88/GDH/wAzz//PPbv34/vfe97yM7Oxq5du/y6NhUaN3jqjRFepK5esP46LgvrRUJEMzY2hqamJiQlJYHn+aCaExc0opmehvyjj8B0d4Pt6gIzPAy2rw+YmwM7MyPZ9RcNFgsU//435Js3w/z738N26aWAm9fgchy2Fi6RE67tLW0XFRUl2uXU19fjhRdewO23347x8XF873vfw+joKPbt24cLLrjAr+ufe+65OPfcc33++scffxxFRUX405/+BAAoLy/Hp59+igcffJAKjRQIs8Ld9cYILxTnm3ogjstA+IWG53m0t7djeHgY69evB8dxGHRxAO0PIYtoZmbspcJaLdjOTsg/+MAerWi1wDIY9ewPzNgYon/8Y5jn5mC95hqXX7PcIhrh9RiOQXnCe9PfaycmJiIrKwtPP/00CCHo6elBampqKLY4j8OHD+Oss86a97Fdu3bhpz/9qd9rUaFxQEiVWa1Wj70xjpbfAoLnV1JSkl+Oy0B4U2dGoxF1dXUghGDHjh2IjY3F6OhoyD3T/CosGBmBsrERpU8/jbjaWmB6GsyJ8bkUL+j1UN52G2y7doHk5p706XCdlYSrGEB4n4Xj2o7ZEX9wHLfBMIxPY9+lYGxsDJmZmfM+lpmZibm5ORiNRr8yHlRoTuBPb4xwTsPzfNCOy8B8B+dg8FewhNkxWVlZWL16tfikFciYAFcEembEDA1B+fDDYA8eBDs2BpjNKDSZsDgN0sMPYzAg6jvfgemDD0763HIrBliMQqPT6Ra1KwBAhWbe3Bh/mtdYlhUnSQbjuCystZBCw/M8urq60N/fj7Vr1yInJ+ekdRbaBZr99FMon3gC7BdfgB0ZWZKH9eFEfuQI1P/4B5SXXz7Pl2u5pc6Em304fmahEMDfawtVaAtNVlYWxsfH531sfHwciYmJfp/fLmuhcR6x7G+HdH19PTIyMoJyXAYWdo6MMI7AbDajurra5QtYynEDbj9HCBRPPw3lyy9D1twMZnY26OtRPJP81FP4qKgIcoViXkPhcioG8NeTUOprB2o/Ew6hqa6uxr///e95H/vggw9QXV3t91rLVmgce2McZz/48n0dHR2wWq0oKirCqlWrgt7LQk3GnJ6eRn19PVJTUz2KY8hSZ2o1ZH/8I9j33wfT2QkIpcaUBSF+eBhfXbcOswoF1Go1RkdHMTs7C4Zh0N7eLopPsFZIvhCuiGYxllVLZaip0+nQ1dUl/ru3txd1dXVISUlBQUEBbr31VgwPD+PZZ58FAPzgBz/Ao48+il/84he45ppr8OGHH+Jf//oX3n77bb+vveyEJtC5McCXjss8z4udvFIQ6tSZUKnS09ODVatWIT8/36shplQRDdvQANnf/w728GEwg4O0MiyMMFotmBOD3VQqFQC7wWtfXx9YlkVvby+ampqQkJAgjkJISkoKSYVWOIsBwlFxBvg29MwVOp1OEkPNL774Aqeffrr475tuugkAcNVVV2Hv3r0YHR3FwMCA+PmioiK8/fbbuPHGG/Hwww8jLy8Pf//73/0ubQaWmdAEOjcG+LLHJCcnB6tWrcLRo0clEQdhH6ESGovFgoaGBuj1erezY1ytI4XQrPzHP5D82mtgItXGZbnBcZAfOwabQ/8Fy7JQKBQoKysDYG8WFLrUW1tbYbVakZiYKI7DDnTglzPhuuGHO6IJ5GfW6/WSjBE57bTTPL6v9+7d6/J7amtrg772shEab70x7hAcl8fGxkTHZUC6aZZSriUIhJD/npmZQV1dHRITE7Fjxw6fUyIBRzQ2G5iPPwbT2Aj2qadQ7BCmUyID9osvAAehcT4riYqKQlZWFrKyskAIgdFoFEchCE+7wnhjT3NXvMHz/IKk6JwJpytAMGc0i9nnDFgGQiOkynp7e2EymVBWVhaQ47KzHYtUJcmAtGc0gP0FPTg4iM7OTpSWlmLFihV+G2L6vZ/6eii+9S0w/f0AjWAiFmZyct6/PR3KC0aOsbGx4qRJrVYrjrru6uqCwqGwICUlxWd373CmzhZjRLOYnZuBJS40jqkyq9UKg8EgieMyYBcaKSMaqVJngL0abnZ21i93Aud1/Ilo2L/+FfKf/xyQ6PdBCR3EqaPcnxu+48AvYe7K7OwsNBoNhoaG0NraOs+FODk52W3BSTj7aBZjMQAVmgjFecSyXC736Wa+0I7Lwlo2CaIAvV4PwP4z7Ny5M+B59j6nzmw2yL/1LbBvvBHQdSgLD3F6PQdTZiyTycSzm5KSElitVszMzECtVqO7uxtGoxEJCQlimi0pKUm80S7XqrPFVN4sJUtOaJx7Yxwdl71FIP46LkdKROMYgQHAhg0bAhYZwMfU2dgYFKecAmZoKODrUBYePj9/3r+l7GdRKBRIT08Xx0qYTCZoNBqo1WqMjIzAZrOJ5ztWF2MZFoJwVp0Fcm1CiGTlzeFkSQmN0Bsj3CQdGzA9CY2j43JxcTGKi4u9vvki5YyG4zg0NzdjamoKFRUV+OKLL4KuGHMuKnCGOXoUinPPBU5EUJRFhNNsoVA2TkZHRyM7OxvZ2dniDVOoaJudnYVOp8Ps7Kx4vhOMW7ivhDuiCaSxW6ry5nCyJITG0UbGk+OyK6EJxnE53BGNUKygUCiwY8cOREdHS5LS82hPMj0N+Te/SUVmMcIwLs9oFuKshGEYxMfHIz4+Hvn5+Th+/DiSk5PBMAzGx8fR0dGBqKgoUXS8jTcOlHDPognkZ6JnNBGAr70xroQhGMdlmUwmybmKsDd/xWF0dBRNTU0oKChAWVmZ+OaRotlSWMvVOuy//gVmeDio9SlhgmHAOzk4h9O9OS4uDpmZmSgqKgLHceL5jjDeWJgyKTSOBmPzJBDuiCaQ1Jmje/NiZVELjfOIZU9vGMdUlxSOy1IWA/iThuN5Hm1tbRgZGcHGjRvFqXxS7svtLBmDAbJ77w1qbUoYiY0FnB6mwu05JiCTyZCamirOWbFYLGKarb29HWazGUlJSaLwJCQkBCQYi+2MxmQygeM4mjoLB4HYyAipM8FUMljH5XCUNxsMBtTV1QGAODsm0LU84diPM2/tvXvBTEwEtTYlfNi2bweio+d9LJyTLj0JhVKpFKdMApjXODo0NAT+hJWOkGZzdKT2BM/zkkRGgRBIRCNUktLU2QITqI2MkOr67LPPkJ6eHjGOy76uNTExgYaGBuTk5GD16tVu36ShTJ2xLiwqKIsHy403nvSxxTKPJiYmBrm5ucjNzQUhBDqdDhqNBtPT0+ju7oZcLp/XOBrtJKgCgZ6TSEEg50N6vR4syy5IoUQoWVRC49wb4+sLled59PX1gRCCVatWIS8vL+i9LFQxAM/z6OzsxMDAANatW+fV8yhkqTOOA9vREdS6lDCiVILfseOkD0dK6swfGIZBQkICEhISUFBQAJ7nxcbRkZERtLe3IyYmZl7jqGB3s9jOaITS5nD8jaRkUQiNY2+MpxHLrhAclwVRyMrKkmRPC1HebDKZUF9fD6vV6nZ2jK9r+YOr1BnT0UE7/xcxJDERcHGTi9TUmT+wLCsKSnFxMWw2m1hY4OhInZKSApPJFLbzjkCERpiuSYUmxPgzYtkZR8flsrIy7N+/P+BadmdCfUYzNTWFhoYGpKWloaqqyuc9h2w6pkwGhOlJkBI8XGWly48vltSZP8jlcqSlpYmuHoIjtVqthlarFf3aHAsLFuJ3EEgxwFJo1gQiWGgCHbEM2J8c2traMDo6inXr1olOtAzDhL33xdtajhVx5eXlyM3NDb0hpps9OQoNKS0FUlKA0dGg16YsPNbvftflx8NlbrmQ13V0pDYajUhNTYVcLp/nSO14vhMTExMS4Qn0jIZGNCGCEIK5uTlotVqkpqb6JTLuHJeFKZpSioPUomWxWFBfXw+j0RhwRZyUTtDzIhqWhe366yG/446g16YsLCQlBdw557j+3BKMaDxBCEFsbCwyMjK8OlILFW2+OlJ7uy6NaCIIIYrRaDTo6enBzp07ffq+hXZclvqMRqiIU6lUqK6uDnhWRyjHQvM33wzcdx9gMAS9PmXhsF55JeDmph6OiEawNwpHJOUcVbhzpFar1RgcHERLS4voSJ2SkgKVShVQ6l247wR6RrPYiRihce6NUSgUPouCr47LUp+rSLEWIQQjIyMghKCoqAiFhYVBPelJNYbZ5VmPTAbTbbch+vbbg16fskCwLKzf+57bT4cjohFeV5Ho3uzoSA1AfOjVaDTo7OyEyWRCYmKimGpzdKT2dl1hfX9YCvYzQIQIjaveGLlc7tON3B/H5UiLaKxWK5qamjAzMwMAATkUOBOy1BmAmZkZ1FZU4JTycsSdcIqmRDbcpk0gBQVuPx8OoXE0vV1o/C1vVigUyMjIEB04TCaT2Dg6PDwMjuPmNY7Gx8e7/Lk4jvPrCEBgKdjPABEgNO5GLHvzEgvUcVnKiEbIuwbyZDY7O4u6ujrExcVh69at+OSTTySp8Q9F6owQgsHBQbS3t6OsrAzyDz4A/7Ofgf3nP4O+DiW0WK+91uPnl2NEE4wFTXR0NHJycpCTkzPPkVoopRZKrQXhEc6IfbHJcoVOp6MRTTAIqTKhqsz5jyCIgqs3QqCOy1JHNID/T0iON21BIIU9hSoSCQRBSB3HEFRVVYkpBdvevZCzLNgXXgj6WpQQER8P2xVXePwSGtEEjrMjNc/zmJubg0ajwejoKNrb2xEVFSWOuA50umYgU3IjjbAIjS82MsKBm/MTSLCOy1JGNML+fMXxLKmyslI0EAxkLU/7kkqwjEYjOjo6wLKsOIbAEdvDD0PR1ASmoSHo61Gkx3rZZYCXg+twVH8Jr89IPKMJBpZloVKpoFKpUFRUJDaOCsJjtVpx9OhRMdpRqVReoyuj0Yh8p2F1i5GwCI3wwvaUsxT+AEI3rVSOy1ILja/r6XQ61NbWQqlUnnTTFoQ2koRGcInOzc11762WkADr++9D9vDDkP31r8DsbNDXpUgEw8D6/e97/bJwpc7CJTILeW3HxtHk5GR0dXWhsLAQarXaZ0dqnU7n0jx3sRG2Vm9v+UrhF26z2WAymXDs2DGMjIxg27ZtAVdmSVmSLPTl+CI0IyMjOHz4MDIzM7FlyxaXhn+hPMT3B0IIurq6YDAYkJubizVr1nh+Y6pU4H7zG1jGx2F9+umT3IEp4YEvKwO/bp3XrwtX6ixcaTMgPJGU4EiSmZmJ8vJyVFdXY9u2bcjMzIRer0d9fT0++eQTNDQ0YHBwEGq1GjzPS1p19thjj2HFihWIjo7Gtm3bcPToUbdfu3fvXjEQEP5zZ1TqC2EvBnAHwzCQy+WYmppCV1cX0tLSgnZcljJ1JqznSRw4jkNrayvGx8exadMmcZa6K6QSmmDWsVqtaGhoEEfHqlQqv76ffPObsJaXQ3bXXWA/+AAI01x4CmC9+mqfvi5cQhOuiAYIn9A4pskYhkFsbCxiY2PnOVKr1WpMT0/j97//Pd555x0QQlBSUoKhoaGgzIBffPFF3HTTTXj88cexbds2PPTQQ9i1axfa29tPmmklkJiYiPb29nl7DpSINa8Swty2tjasWrUKGzZsCNqjTGqh8XRTNxgMOHLkCLRaLXbs2OFRZLytJdWePKHVanH48GEA9lk3crk8oMiIbNoE2759sMzMoO/RR6E+91wQLz87RVr4wkJYr7rKp69dbqkzIDKExhnBkbqwsBCbNm3Cn/70Jzz22GNgWRYHDx7EihUrsHr1atxzzz0BXf/Pf/4zrr32Wlx99dVYs2YNHn/8ccTGxuIf//iHxz0J1j1ZWVnibKBACJvQeHpxCzdpnuexZs0a5DqNnw2UUEQ0rtYbHx/HoUOHkJycjG3btvk0SyKcqbORkRF8/vnnyM7ORmVlJRQKRfDmnDIZtKeeiv7f/Q7WwUHY/vAHrwfTFAlgGOg//hjwMd2ynFJngZYYS4G/ZdWxsbE477zzkJSUhEcffRRTU1O4//77UVpa6ve1LRYLjh8/jrPOOkv8GMuyOOuss8SHS1fodDoUFhYiPz8fu3fvRnNzs9/XFoi4d76j47LgECAVoY5oeJ5HR0cHhoaGRDNPf9aSYm/+CBbP82hvb8fw8PBJY6GlKE5wFD3+xz+GdccOyO65B+zBg9TGJkSMV1TgeGOjeMAsmES6Y7mlzsI5iybQ8ub4+HioVCrs3r07oGtPTU2B47iTIpLMzEy0tbW5/J5Vq1bhH//4BzZs2IDZ2Vn88Y9/xI4dO9Dc3BxQCi9ihMaV4/KRI0ckF4ZQrWcymVBXVweO41BdXe13N69U9v6+Co3ZbEZdXR1sNpvLsdBS9OM4r0GqqmDbtw/geaC2FnjuOcjfew9sT09Q16GcgGGQcM892LR+PdRqNcbHx9HR0YHo6GhRdJKTk+eloJdb6mwxDT0DwmdBU11djerqavHfO3bsQHl5OZ544gncfffdPq9z1113obm5OXxC4/jidnRcdrzpLVSqK5j1eJ7H1NQU6uvrkZGRgTVr1gT0glrI1JlGo0FdXR1SU1Oxdu1al/uVQvjc7oVlQSorYVm3Dub77gNjs0H23ntQPPss5J98ApyYk07xD/Pvfw9+504kAqJJpOMQsO7ubhiNRiQmJorCE46bbzirzsIpNP5mZwTngWAtaNLS0iCTyTA+Pj7v4+Pj4z5nXRQKBSoqKtDV1eXXtS0WC8bHx8Mb0Tg6LhcUFKCsrGzeC8GbDY2/SFneDNhvpKOjo1Cr1SgvLw+qKmQhUmeEEAwMDKCjo8NrL1IoIhq3KBTgLrgA3AUX2L+vvx+KZ56B8uGHaeWaLzAMjC+8AO7880/6lPMQMMGrS3Anttls6Ovrg8lk8ppmk4pwps6CsZ9Z6GsbDAYQQoKeCKpUKlFVVYX9+/djz5494n7279+PG264wac1OI5DY2MjzjvvPL+u/bvf/Q5AGFNnQimtJ8dlX401fUXKiMZsNkOr1YJhGGzfvj3oF0Ooq84EK5np6WmfbHukPqPxB1JYCMsdd8D29a8j+r//G2xHR1D7WNIoldB/+inI6tU+fbmzV9ehQ4cQGxvrU5pNKsI5A2cxpc70JyJ7KVJnN910E6666ips3rwZW7duxUMPPQS9Xo+rT5TBX3nllcjNzcW9994LwJ7y2r59O0pLSzEzM4M//OEP6O/vx/c8OIF7ImxCYzKZYLPZPDouR2rqTLDBkclkyM/Pl2QGeSiFxmAwoLa2FnK5HNXV1T41XoU0deYjfHk5DEePgv3oI8ieew7k/fcRTd0HREhaGvR1dUAAA/KAL505srOzoVKpvKbZXHWuB0K4bviBHsiH69p6vR4ymUySwWtXXHEFJicncccdd2BsbAybNm3Cu+++KxYIDAwMzNufRqPBtddei7GxMSQnJ6OqqgqHDh3CmjVrArp+2IQmMTERVVVVHr8m0oSGEILe3l50d3dj5cqVmJ2dleQAHwjdGc3k5CQaGhqQk5ODVatW+fxiX9DUmSdYFvzpp8Ny6qn4+OOP8dXyckS/8w7kL74I2fHjgMUS3PohggEgzSvDNfymTTDs3w8EWZXpGF14S7MB8Lmazds1aTGAd4TzGan2fMMNN7hNlR08eHDevx988EE8+OCDklwXiKCqM1fI5XKYzWbJ1gtGaIRUn1arxdatW5GUlITm5mbJxzlLtY6jN9zatWuRk5Pj1zrhTJ15gk9Lg/Waa2C95hqAEDA9PVA+8QRkb70FdngYkPh6nnAnJowPXxMM1iuugPmppyRZy9PBvHOaTRh5HGyabTkWAwRyRrNURgQAYRQaX15ooeh7CWQ9YXZMfHz8PMdoqcQBkK5QQfgZa2pqoNfrAz4/kip15g6r1Yq+vj7ExcUhJSXF603K5VoMA1JSAvMDDwAPPABYLJC/9hrk//d/kB09CkarDWr/Hvfj9L/uvkYykWEY8MXFMN99t1g0IQW+npc4jzwOJs22HIsBgololgIRHdFILTRyuVx82vflzeU4O6akpARFRUUnzcyxSlQVJZVomUwmGAwGxMbGorq6OuCGV6kiGldraLVa8cxofHwczc3NSEpKQkpKClJTU91OKQTgWfyUStguvxy2yy+3X7+nB/KXXoLi1VfBtrXZ+3ckwJ9nceFrAxacqCjo33gDZM0aICkp0FXcEujBvKc029DQEAghbtNs4SoGWGxnNML7OBy/K6kJq9B4S61IXd7sOPfF29OFzWZDU1MTNBrNvIFfzvszmUyS7E2KG/vIyAhaW1shk8lQWVkZ1AtUqjMaZ8bHx9HQ0IDCwkIUFhYC+PImNT09jf7+/nlz21NSUqBUKgP6WUhxMay33ALrLbcAPA/2iy+gePxxyPfvB6PRBPWz+bUPf7+BZUFycmC76CKYb7kFCOHgK6lu+t7SbFFRUUhNTUVKSgpsNhs9o/EBmjpbIEJR3gx4/6NrtVrU1dUhKioKO3bscFv1IXXqLNDoSJgdMzo6irKyMvT19QV985AqdeY4Dlo4M1q/fj0yMzPF6aoxMTHIzc1Fbm4ueJ7H7Ows1Go1BgYG0NLSgsTERLEcO+DfN8uC37oV5q1bYQaA2VnIX3gBivfeA2ZnQbKzQeRyyI4ds5/1eIDA96jGp98gwwAyGUwpKTBdeSXkv/oVsEApnlBEF57SbD09PdDr9VAqlejp6UFqaqpk1WzeWGxnNDR1tkCE4owG8DysbHh4GC0tLVixYgVKS0u9zswJdzGAs/WNzWZDb29v0PuRKnUG2KNDoZBCODNyJ2LCzPXk5GSUlJTAbDaL0Q4AHDlyRHwyTk1NDbz0MykJtuuvh+3660/+nMUC6//9H7inn0ZqZ+eXZz0sK6bfHHcvnMU4n8nMe+XI5SCxsSAFBeBXrgS/ahW49euBpCRwmzYBCQk4fPgwVq9ejeQFPEdYiDSWc5qtpaUFZrMZBoMBw8PD4Hl+XpotVIO+wnVGQwgJWGhoRCMBvqTOpBQahmHcrunP7BjH/UkV0QQiNK6sZLRabUQMUBPWsFqt+PzzzxEVFYXq6mq/Rm8DQFRUFLKzs5GVlYWJiQmsWbMGOp0OIyMjaG9vR2xsrCg8KpVKmidWpRKmSy5BXXExTj31VDBDQ2BmZsCXlQFKJdgPP4TipZfA9vWBJCWBz8iArLsbbG8vSHQ0+OJi8KtXg9+wAfyKFSApKSBlZV4vK3WFnq/XW+gzAJZlkZiYiJKSEnEOy/T0NCYmJtDZ2YmoqKh51WxSGetKbdLrK44j6/2BRjQLhNRnNMKazkKj1+tRV1cHmUyGHTt2+NwfEK6IhhCC/v5+dHZ2YtWqVcjPzxdvFlKWSQd749NqtdDr9SgsLMTKlSuDEgHh50tISEB6ejqKiopgtVqh0WgwPT2NlpYW2Gw2JCcni8Ij1ZMxycsDcbAX4s88E+Yzz5RkbWcW8qYfLqFx7KMR5rAkJCRgxYoV4DhOTLP19vaiubkZCQkJovAkJiYG/DoKV0Qj3CNoRBOhCGc0Uob3zkIjjCXIzc31q6FRWGuhIxqbzYbm5mao1WqXVjKRMBKaEIK+vj709fUhKioKq320R/F3TwqFAhkZGcjIyBANCKenpzE5OYnOzk6xzyM1NRUqlSokdipSEq6IJpJMNWUyGVJTU5GamgrAnhrWaDRQq9VobGw8Kc0WExPj870hXFVnHMeJo9/9QafTubTmWkwI52JhT515QngCkPJJRBAax1kswuG0vyx0RKPX61FbWwuFQuG2SEH4nQYrzoGe0XAcJ1brlZWVYWRkJOA9+APDMIiPj0d8fDwKCwvFA+jp6Wl0dnbCZDJBpVKJwhMXFxeRZaPLIaLx51A+Ojoa2dnZyM7OnjfuWHiY8CfNttj6dwwGw6KPaKxWK6KioiI7ovG1SswfWJaF0WjEkSNHQAhxOYvFn/1JGdF4Eq2JiQk0NDR4jbz8KeH2th9/n7CNRiNqa2vBsiyqq6sxNzcn6VO6P1GW8wG0wWAQiwp6e3shl8vFJ2cpzwGCYbmc0QRqQeOYZissLPQ7zbbYPNYMBsOiP6MRHoYjWmiEsas2m83vQ2R3CJFMdnY2ysvLg74Zhzp1RghBV1cX+vr6sG7dOmRnZ3tdBwheaPxNnanVatTV1SEzMxPl5eXi307qm2eg68XGxiI2NhZ5eXnged7lDUoQHilMUgNluUQ0UlzTOc0mVCi6S7NJ+cDqD4Fed7H30Rw7dgyHDx9GTk5OZAuNpyoxf+F5Hl1dXdDr9cjJycG6deuCXlPKqjhXQmOxWNDQ0ACDweCzlYwgNFL2wHjC0T1h1apVKCgomLeGt334k+KT6obIsqx48yktLT3JPFJ4cuZ5HmazWRL3XF9Y6I75xZA68wehQtFdmg2AmMpdyCg2UKFZ7KmzL774Ag899JDdYiqcG1kovzOz2Yz6+nqYzWbRh0kKQnlGMzc3h9raWiQkJPhlJSP8ToONtHxJnfE8j5aWFkxMTLgsTIikiMYTjl3tPM9Dq9VidHQUGo0Gn332GeLj48VKtqSkpLA1/UmNlEMA/WEhBNVVmu3zzz+HTCZDb28vmpqa5nmzBVPN5o1gxjgv5tTZhRdeKD7QR3REAwRf4jw9PY2GhgakpKSgsrISLS0tkomDTCYDIUSSN46j0AhNo8XFxSguLvZrbWHGSKidl81mM2pra8HzPKqrq12WhEstNAvx5M2yrCgmk5OT2LZtmxjtCG7djiXUUk6kDEdEI7xeFpJwnJUIN/r8/HyoVCqvaTZ/qtm8EcjPK1RRhjONGyx5eXni1OGIF5pAbWgIIejp6UFPT8+8XhOp012ANFVxwr5aWlowOjrqc9Oou32FyhATsLtZ19TUzGsUdbfGYohoPKFUKpGVlYWsrKx5zYWCh1dMTMy8EupwuQMHQrjMLSNhHo2nNFtXVxeUSqVkTaPBRDSLOXUGfOmKsCRTZxaLBY2NjdDpdOLsGAEp011SVsVZrVZYrVbMzMyguro6qGZDKW7w7lJnQrRVWlqKFStWePwbLsaIxtv1HZsLbTab2OPR3t4Oi8Uyr4TaX+fdcEU0C02kzaPxVs0WbJotmDOaxZw6A748Z4/4iMbf1NnMzAzq6uqQmJiIHTt2nPQkIpPJYJFoKqNjRBMMwmhoANi2bVvQohWKiEao1hsZGUFFRYVPjWRLIaLxhFwuR3p6OtLT00EIEUuoBfNIhUIhpth8mbmz0IRTaCK5n8XfajZvabZAhIbn+SUR0UREw6Yv+BrRONqyeHralrL3RchvBxohOe65uLgYnZ2dkrwBpRIa4aZusVhQV1cHi8XiV7S11CIaTzAMg7i4OMTFxSE/P3/eU3FPTw+am5uRmJgoCk9CQsJJP89yiWjCkToT5lAFcl1vaTaFQiFGsa7SbIEaagJY1Gc0wJcPhhGfOvPljMZms6GxsREzMzMuq58ckdqoM1Dhcpx3s2XLFsTExKCzs1OSN7+UqTOtVouamhokJiaisrLSr6fypR7ReMLxqbisrAwmkwnT09NQq9Xo7+8XS6wF4VEqlWFp2FwuqTPhPRqswPmSZnNsGk1KSgLHcX6f8QhCsxRSZ8AiKAbwJgxzc3Ooq6tDTEwMdu7c6bWxMxRC4+96gpWMUqkUrWSEWTRSpBWkimhsNhs+//xzFBUVoaSkxO+bgyehCaTaKZIjGm9ER0fPm7kzNzeH6elpDA4OoqWlRRydoNVqER0dvSBP/MstogGk93XzlGYTqhRlMhkSEhKg1+t9PrczGAxQKBQL1sMVKhaV0Lg7oxkaGkJra6tfN8JQzLjx56YuWMnk5eXNczSW6rwnkD05IzRh2mw2VFZWIiMjI6B1lnNE4wmWZaFSqaBSqVBSUgKLxQK1Wo2Wlha0t7ejra1NfCJOTU1FdHR0SPZBIxrpcU6z6fV6NDU1wWg04tixY2KaTfjPXaSj0+ki1o/PHyJCaHxNnZnN5nkfE8qAJycnfT6YFgiF0Ph6huTJSkZKoQnmBm+1WsUhZTKZLGCRCXYf7tZbiggl1C0tLdiyZQusVivUajXGxsbQ0dGB2NhY8cYkZQl1JJQZL/Q1F/I1JBi9RkdHIyMjA5mZmeL02P7+/pO82RybgQWhWSosiojG8Uau0+lQV1cnOhj7+7QnZXmzsD9v4uCLlYxUjZZA4BGNTqdDbW0tYmJisGnTJhw7diyofUjlJO3IUohoXOFoB+M4BlmYuaNWq9HW1gar1SpWPKWmpgbVWBiOiCacownC5eggmGrKZDJRVIAv02wajUZMs6lUKnz00UeIioqSLKJ57LHH8Ic//AFjY2PYuHEj/vKXv2Dr1q1uv/6ll17Cr3/9a/T19aGsrAz3338/zjvvvKD2EHah8WXKppA6Gx0dRVNTEwoKClBWVhbQCyfQBlB3eBMuf6xkpBLBQIRGSOnl5+dj5cqVMBgMko1ydndDW05nNL7i/DM6z9wxGAyYnp7G1NQUuru7oVQqxYKC5ORkv4o1wiE0wmtqoa8brlk0wrVdRaGu0mwjIyN4/fXXUVtbC4Zh8N3vfhdnn302zjzzzIBm07z44ou46aab8Pjjj2Pbtm146KGHsGvXLrS3t7vMVhw6dAjf/OY3ce+99+KCCy7ACy+8gD179qCmpiYof8iIN20ShKalpQXNzc3YuHGj3wPKHJHScVnYn7v1hoeHceTIEeTl5aGiosJr5Uk4hpYRQtDd3Y36+nqsXbsWq1atEoc0CfY6wexDuIYUhOLMJ1Lw5ecSSqgLCgpQUVGBU089Vfx7dXd345NPPkFNTQ36+vqg1WolNTSViuUa0XhLdwpptpUrV2L//v34wx/+gFWrViE1NRX33nsvMjMz0d7e7ve1//znP+Paa6/F1VdfjTVr1uDxxx9HbGws/vGPf7j8+ocffhjnnHMOfv7zn6O8vBx33303Kisr8eijj/p9bQDiPSTsEY03OI4T3zTBzI4RWIgzGp7n0drairGxMb/OkKQcw+zrtM6mpibMzMxg27ZtSExMFD8nxQ3Im9AEIhpLVWgE/Pm9O1c8GY1GceZOf3+/mKoRIh7nB51wRjTLSWgC6aOx2WzIy8vDAw88gAceeABjY2N+n5daLBYcP34ct956q/gxlmVx1lln4fDhwy6/5/Dhw7jpppvmfWzXrl147bXX/Lq2QEQUAwCen1InJibQ1tYGlmWxfft2SV4ogtBI9SZzjmhMJhNqa2tFYfTHdHEhhcZgMMyb1ulcFu7oAh3o4XMoIpqlihS/o5iYmHkl1LOzs6LoCA2jgvAIYxCWS+pMyim9/hKIM4Czc3NWVpbf152amgLHcSdND87MzERbW5vL7xkbG3P59WNjY35fX7jHJCQkhF9oXMHzPDo7OzEwMICioiIMDg5K9jQi9Xhox5v69PQ06uvrkZ6ejjVr1vi9/kKlzqanp1FXV4fs7GysXr3a5e9Wirk2UguN1GtFIlLO3ElOThabl4WD5+npaQwNDQGwC5PNZgvLzJ3ldkbj77WXgv1MT08Pvve970Xm4DOTyYT6+npYrVZUV1cDAHp7eyVbX+rx0CzLwmazobe3F11dXVi9ejXy8vICeiNJZY/jaVqnYHlTXl4uWni7QgqRoBGN74RaQJ0PnrVaLfr6+mAwGHDo0CHExsaKKTaVShWym3I4fc7CdV1CSNARTSCkpaVBJpNhfHx83sfHx8fdRkhZWVl+fb0nUlJScNVVV0Eul4dfaBxvHkJEkJaWhqqqKsjlchiNRklTXcKLTapzGoZhMD4+Dp7nsWXLFqhUqqDWCpXQcByH5uZmTE9P+7RPKQao0YjGfxZCTIUS6tTUVPA8j7Vr14rd7C0tLbDZbPNm7gR7LupIpDk3L8R1AfgtNAaDIageNsDen1VVVYX9+/djz5494n7279+PG264weX3VFdXY//+/fjpT38qfuyDDz4QH/r9IScnB7/85S8BRMAZDfBl5VNvby/Ky8uRm5srvhilTnVJOZNGp9NhbGwMLMuKVjLBEKqIRjg3AuwvJF96j6QaCS3VGgCNaEJxTYZhoFAokJmZiczMTLHMdnp6WhyBHB0dPc80Mpj34XJqEgW+fKD199o6nQ7FxcVBX/+mm27CVVddhc2bN2Pr1q146KGHoNfrcfXVVwMArrzySuTm5uLee+8FAPzkJz/BV7/6VfzpT3/C+eefj3/+85/44osv8OSTTwZ0fY7jwDBM+IXGbDajrq4OBoPhpMonAGJfgM1mk+wwT4p+lfHxcTQ2NiI+Ph6xsbGS5LhDcUaj0WhQV1eHtLQ0v86NpIpoPJ0XWSwW2Gw2vwomaEQjHa6yBEKZbXx8PAoLC2Gz2TAzM4Pp6Wl0dHTAbDZDpVKJ0Y6/TYXLLaIRbrT+XluqWTRXXHEFJicncccdd2BsbAybNm3Cu+++Kx74DwwMzNvbjh078MILL+D222/HbbfdhrKyMrz22msB99AI95uwC01fXx9kMpnbZsZgrfhdEUzkQAhBZ2cn+vv7sX79ehgMBszNzUmyLymrzjiOw+DgINra2rBy5UoUFBRIaooZ7BoTExOor68Hx3FISEgQy3QTExPd7pNGNNJf09vvVC6XIy0tTSzRF2buTE9Po6enB3K5XPzb+TKJMtJn0UhNoGfBOp1OsmKAG264wW2q7ODBgyd97Otf/zq+/vWvS3LtiJlHs3LlSlH1XSFlqksg0PUsFgvq6+thMplQXV2N+Ph49Pf3S9YAKmVEMz09jdHRUVRWVop9FoHsR2qhIYSgt7cX3d3dWLNmDRISEsQnZmH4m3DjEuzzHaERjXQEcu4ZGxuL2NhY5OXlgef5eRb5gneX8PdzN3NnOaXOAhU4g8GwqKvOhNeW8DsPu9D4cnP1d8qmNwIRmtnZWdTW1iIpKQnV1dViSk9K7zQphMZsNmNkZAQcx0XESGjHNXieR1NTE6anp7F161bEx8fDarUiKysLWVlZIIScZJ8vHFoHKpaLBUevs4W8ZjDXE2bqpKSkoLS0FCaTSSwqGBwcBMMw85yKo6KiwpY6k6rKdKGuK0XVWbgQXleff/45lEqlfY5VuDcVDmt/f9cTxhGUlJSgqKho3p6lnNgZrNAIYqhQKKBSqYKuFpKiCk4QGrPZLDayCgUJzn8DhmGQlJSEpKQkFBcXz+v9GBwcBMdxYg+IJ4t1im9I7QwQHR2NnJwc5OTkgOd5aLVaTE9PY3h4GK2traKTMc/zCx5h8DwfltdLID00QkHGYp2uKURxTz31FN555x389a9/Db/Q+ILURpi+Cg3P82hpacH4+LjbFJTUEU2ga42MjKC5uVmcyzMzMyPJfqSIaHQ6HWpqaqBSqbB+/Xqfn/Acez94nscXX3wBuVyO/v7+k6Kd+Pj4RX2GsxgjGk+wLDvvoUGYuTM8PAyj0YhPPvlkXgm1PwUhgRDOYoDlmDoD7A/oBoMBt9122+IQmnBENEajEXV1dV6tZMId0RBC0NHRgcHBQWzatAnp6ekYGBiQ5CxDitQZz/Nobm5GcXExiouLXebsnb4BcONUIJfLkZGRgezsbHE0sqOvl+PZjj8uxpFAuIoBFurmK8zcEVJnZWVlmJ6exvj4ODo6OhATEyOWUEs5c0dgsRUDLObUmcDw8DDuv/9+TE9PLx6hkfKMxlvkIBxMZ2RkoLy83OMLRUo3aMFlwFesVivq6+thNBpRXV0tvjClavwMZh1CCHp6emCz2VBWVoaSkhKXXyNeq68P7LFjYAYGAIUCJC8P/Nq1ICtWACdKxx2Fz3k0slBQ0NPTg+bmZiQlJSEtLS2gEtxwEQ4n5XBcUxhtnJCQgBUrVsBms4kzd9rb22GxWKBSqUTh8XX8sScWUzEAx3EwGo2LNqIR/lY6nQ4ZGRm47rrrwi80vk7ZXIjyZkII+vr6RCuZ/Px8n9YKRzGAVqtFbW0t4uLi5hUn+LuOt/0E8qQtuBCo1WoolUrRb8slhED2+uuQP/88mJ4esFotYLWCyGQgyckgq1aBr6oCt2ULWI4DnAz/hH0KB85lZWUwGo1itNPT0wOFQoG0tDRJGg5DRaSWN0uNq2IAuVyO9PR0pKenizN3hKIC4e8nRKqBRqvh8joL5Lo6nQ4AFu0ZjYDJZBIzQWEXGl9YiNSZzWZDY2MjZmdnsXXrViQlJfm0ltQRjS9rjY+Po6GhAStWrEBpaelJb1wpzlaAwFJnZrMZNTU1AIDt27fjyJEj7tewWqF45BEo9+4FMz4OWK0AxwGEgAHATEwAXV1g9++HPCkJa1NSwFVWQnb66eA3bLBHOy5uOjExMcjLy0NeXh44jhOjnc7OTphMJvFsINgJlVITjuhioW++3q4pzNyJi4tDfn6++PcTREdwoRaEx1UJtSsW0xmNwWAAgEUb0QhYrVbxPrpshcZqtYr/FkYYR0dHu7TM98RCljc7WvWsX7/erdFduFJnc3NzqKmpQXJyMtatWweZTOZWrHiNBvI77gC7bx8YjcZ+NuMMIYDNBkanA3Q6JAwPA+3twJtvgmRl2aOdLVvAbd0Kfs0awMUb03lmizChcnp6Gt3d3YiKihI/H4qzAV9ZThGNPzd8x79fWVmZeDanVqvR398vRrPu+q4Cva5UBDoiICoqatGdMwoIrymNRhM5EY2v5c1S99GYTCYA9vkLTU1NyM/PD2g8tJCGk+JN60lobDYbGhoaoNVqsX37do9hdThSZ2NjY2hsbDzp0N9Vwybp74fs5z+H7OBBQKv1eT8MAFgsgFptF6eODsg++ADypCSQggLw27aBq6oCt3EjkJ8PuHiDCw2HwtOyRqPB9PS0eDYgRDu++MFJTSSksSL9ms5nc859VwkJCaLwJCYmiu/ncBYD+GtPpdPpFs25oiuEfV9++eXiw3DYhcYX5HI5zGazZOsJwtXe3o7BwUGsW7cuIBtsYS1AmheyO4HQ6/Wora1FVFQUqqurvUZcC5k6Ew79e3p6sGHDhpOGJjmuQQgBf/Qo5LfeCtnx40Awf9MT0Q50OjA6HZiREbA1NZDFxwMZGeDXrwe3eTP4LVvAr10LuBAOmUwm2qsIZwOCmeTMzIxoNyREO6F8Il4uEY2U6TqWZaFSqaBSqVBSUiKWUE9PT6OxsRGEECQnJyMlJSVsZzSBRFKC0Cx2nnnmGVFkI0JovN3QpE6dEUKg0Wig1+uxffv2oHKhUj4xuSpSmJqaQn19PXJzc7Fy5UqfXrQLlTrjOA5NTU3QaDQuDVGFNYATkcwrr0B5zz1gOjrsZzFSQghgNoMxmwG1GrKODsjeeQdEpQJfWAh++3Z7UcGGDUBu7kkl1I5nAwUFBZiZmUF9fT1sNhtaWlrAcdy8s51QRDzLoeoslFGUUEItuExotVqo1WqMjY3BbDajpaUF6enpSE1NRVJS0oJEOIGe0SzmiEbAMZKLCKHxhpSps9nZWfT09ADASdVageA43ybYzmPHiMaxAm7NmjXIzc0NaJ1g9+PuAUAYPcAwDKqrq92mBxiGAW+1An/+MxR//SuY0VHX5zFSQohdyLRaMFotZENDkB07BhIfD2RlgVu/HvzWrfZop7wccBEhymQysCyL8vJysVN7amoKY2Nj6OjoEAeFCTetYJ+Wl0tEs1ApLGHmTmJiIlasWIGDBw8iLy8PBoMBra2tsFqtYrQTyqIQKcY4LwUWhdBIVd4suBlnZmZCp9NJctjGsqzkA8scIwV/KuAc15Eqdebq55qdnUVNTQ1SU1Oxdu1aj28kmcGAxDvvhPztt8Gq1QAhIDhx3gJA2KW7f8Ph456+x9UtQvw4ISAnoh1mehpMezvI228DKhW4oiKQnTvBV1TYz3aysgAP1vkrVqyA1WoVUzTNzc3gOE68YaWmpgY8MmI5RDThMtUkhCAtLQ2xsbHz0qRTU1Po7u6GUqkUCwqSk5MlO4gPRGikdG6OFCJCaEKdOuM4Dq2trZiYmEBlZSV4nkd7e3vA6zkjVeWZ0LB55MgRsCzrMVLwto7Uc20EhEN/V75vjhBCQIaGUP6nPyHm0CF7SktY1/Eaztd0txcJv4ex2cBotYBWC3ZwEOTIEZDERHu0U1kJvrISsrVrwbj5mzoPChM8vUZGRtDe3o64uDikpqYiLS3N49gDR5ZTRBMOcXMcp+ycJnUsge/u7obRaERSUpIoPMHYGwUSwUk1iyaSiAih8UYwQmM0GueleGJiYqBWqyNmvo0jOp0OJpMJ6enpKC8vD/jJT8oIy/EgXyit3rhxo8cxs4QQkOPHIf/FL5D6xRf2SrEIhjGbwUxOApOTYFtaQPbtQ7JKhcrUVCjOP99eVLBhA5CefvL3OqRoioqK5h1INzQ0gBAi3rBSU1M9FnIsh4gmHGXGwnvB3XWdS+CNRqP4NxTmZTmWUPuTIg+kCIGmzsKEXC4P6IxmenoadXV1yMrKmnfjlrq4INiIhhCCwcFBtLe3QyaTYe3atUHvR8qIhuM4NDY2YmZmxmtpNSEE5I03oPztb4FQHPqHGo4Do9VCrtUibXAQaG2FIjERJCfHLjhVVeA2bwYpK3NZPu18IC2U3woO4I5GoI7NhssloglH6syb0DgTExMzr4R6dnZW9NQTGkYdS6g9/Q5p6sxORAiNtxe7v8LgOFyrvLwceXl5Qa3njWAiGsEhemJiAmvXrkVLS0vQ+xEikWBvJAzDwGKx+JzKIxwHPPYYlA89ZD/0X+RDyhjAXoI9OQlmchJsUxPISy+BpKSAKy0FOeUUcFu2gF+3DnBhs+Nt7AHDMKLoyOXyZRPRLPQ1hfd6IALHsiySk5NFGyXHv6HjyApBeJzfH7QYwE5ECI03BGHw5Y3hi5WMP+v5QqARhDCjhed5VFdXi3M6gsXxKTmYn89ms2FgYABZWVlYu3atxzcq0enA/va3kD33HBgJRhREJBwHZm4OzNwc2L4+kE8/hSIhASQ/3+5OUFkJrqoKpKTEpQO189gDIdrp7++HTqcDwzDo6+tbsLEHyyl1JoyEDxbHv6EQsarVavF8TqhGTElJgUqlCviMJjs7O+i9RhKLRmgA+9OBp2oQX61kpGyyBAJLnbmq3DIajZJEIo69PYG+qUdHRzE1NYWUlBSsW7fO86H/6ChkN98M+bvvAkZjwPtebDAmE2Ay2aOd+nqQ2FiQjAxwK1eCVFeD277d3izqItXo3Gw4Pj6O9vZ2aLXaBRt7EK7U2VIRN8eItaioSKxGVKvVaGlpgc1mAyEE4+PjyMjI8HkQoV6vp6mzUODthSe8yTwJjVANVVhYiLKyMo9rOva+SCE0/qbihoeH0dLSgtLSUqxYsULcq1TNn47r+AshBF1dXeKTtSfTQkII+IYGKG66CbKjR+2mmMuVE2c7jFYLtrsb5MAByBMTQfLzwe/YAa6iAvzmzSAFBS6jHaVSCblcjvXr14tjD9RqNXp7e8WxB4LwSNXMF67zknBccyF6d5yrEYWHSeHvGB0dPa+E2t2eqNCECSHsdXUz53kenZ2dGBwcdGmB4grHiEYKfD2jEcqqR0ZGUFFRgbS0tHmfl0poAj1gFg79Z2dnsX37dgwNDbldgxAC8u9/Q3nbbWC7uhbfoX+IYUwme8QzMQFZXR3kcXFARgZs5eXgd+wAX11tj3ZO5PQdn/Qdxx6UlpbOG3vQ29sr2uYLYw8CjXaWSzFAOOxnGIYRDSUrKirmlVB3dHTAbDZDpVKJwuP48ECFJkwwDOMyajCbzaivr4fFYvHLSoZhmAV1XQYAi8WCuro6WCwWVFdXuwyjpRJA4QXrzzomkwk1NTWQyWSin5q7/ibC8yCPPw7FH/8Idgkc+oecE2c7mJuDoqsL5D//ARGinZ077bN2iovd9gO5G3vQ1dUFk8kk3rD8HRK2XIoBwuncLDR0y+Vy0VcPgDhzx3Fm0sjICPR6PWZmZkIiNGq1Gj/+8Y/x5ptvgmVZXHrppXj44Yc9Xuu0007DRx99NO9j1113HR5//HG/rh0RQhOIg/PMzAzq6uqgUqlQWVnp91Od1APLPK2l1WpRU1ODxMREj3sNRCDcreNPgcLMzAxqa2uRnp6ONWvWiG9KV1EkMRrB3HknFE8/DWZ2Nqh9LlcYoxGM0QiMj4Otq4M8Nhbp6emQFRRAft554LZvB1m71uWsHU9jD3p6eqBUKsXJot6GvC2XiCbcQuMKwUU8Ly9PTJXW1dXhiSeeQF9fH+688050dnZi165dqKqqkiT19+1vfxujo6P44IMPYLVacfXVV+P73/8+XnjhBY/fd+211+Kuu+6at3d/iQih8QXBhoYQgqGhIbS1tZ10xuEPUgqNp9SZcHZUVFSEkpISj3sVUoSh6up3xcjICJqbm1FWVobCwsJ5+3Nu2CRTU5D95CeQv/POsjr0DyWMzQbMzUE5N4eMnh4wn38OJCWBKywEf8op9tEHlZWAmwZZd2MPOjo65o09EPy8HKERTWjx9QxYSJX+6Ec/wg9/+EOsWrUKF154IRobG/HnP/8Zl112GZ566qmg9tLa2op3330Xx44dw+bNmwEAf/nLX3Deeefhj3/8I3Jyctx+b2xsbMDu9gKLRmiEYWVNTU2YnJxEZWWl+FQX6HqhjGgEi/mBgQGvnfTO+5LSN80dwqF/f38/Nm3ahHQ3Xe9CFRzf2grlDTeAPXrUbs9PkRyWELuAG42Qj42B1NQAsbEg2dngqqrAb94Mbts2kNWr3UY77sYedHZ2IiYmZt6Qt+Vy0490oXHGYrHgsssuw9atW2Gz2TArQebg8OHDUKlUosgAwFlnnQWWZXHkyBFcfPHFbr/3+eefx3PPPYesrCxceOGF+PWvf+13VBMRQuPri72jowNKpRI7duwI2qZd6ojGcS2r1YqGhoaAxhBI6bzsaYhaY2Mj5ubmPO5PiK7IgQNQ/vSnYLu76aH/AsJYrcDsLJjZWbAdHSD79tmNQEtLwW/bBv7UU8FVVAAq1cnf6+TnZbPZxGintbVVLL2dmppCTEzMgg16C1fqLBxDzwK9rl6vF9035HJ5UA/UAmNjYyc97MrlcqSkpGBsbMzt933rW99CYWEhcnJy0NDQgFtuuQXt7e3Yt2+fX9ePCKHxxtTUFLRaLVQqFbZs2SLJC1XqYgDLCT8voZcnJiYG1dXVfo8OCKUhJmD3caqpqYFcLvc6RI1hGCS/+iqUe/eC8fBipCwAPG8/1zEaIR8dBTl8GHjqKZCcHPBbtsC2ZQv4bdvcWuPI5XKkp6cjPT1dHHtw/PhxaDQaDA0NST72wP2PER5ngEg7o3GH1WqF2Wz2+eH0l7/8Je6//36PX9Pa2urXHhz5/ve/L/7/9evXIzs7G2eeeSa6u7tRUlLi8zoRLTSO0xsTExORkZEh2QtGqhSV41oTExNoaGhAfn4+Vq5cGdAbKpQRzczMDGpqapCRkTHv0N8VxGxG5qOPInbvXsBgCHo/FGlhbLYvo522NsheeglISQG/ahX4rVthO/VU8Js3A07nMsCXYw9YlsXq1asRExMDjUaDqakpScceuIKmzjyj0+kAwKOfoCM333wzvvOd73j8muLiYmRlZWFiYmLex202G9RqtV/nL9u2bQMAdHV1LQ2hsdlsaGhogFarxbZt29Df3y+5P5lU6zEMA61Wi4mJCaxbty4o+4hQCY2nQ39neI0Gsv/5H6jeeCO4ccuUhYEQe7QzPAzZ8DBkn3wC+d/+BpKbC27rVnA7d4LbuhUoLJzXLCoUAygUCmRkZCAjIwOEEOh0OkxNTWFkZARtbW2Ij48XRScxMTHgm7Zw3keFxj2GEw91vnqdCVGqN6qrqzEzM4Pjx4+jqqoKAPDhhx+C53lRPHyhrq4OAPy+x0WE0Djf9HQ6HWpqahAbGyumd6ScsglIJzQ2mw2jo6MwGAzYvn27y3HG/iD1dEzHogR3h/4ChBCQnh7Ir7sOss8/p4f+ixWrFYwQ7bS2Qv6vf9mjnbVrwW3fDm7HDvAVFS6rzhiGQUJCAhISEk4ae9DY2AhCyLxox1Pq1RkhlbtUp3o6E6ihZkxMjOT7LS8vxznnnINrr70Wjz/+OKxWK2644QZ84xvfECvOhoeHceaZZ+LZZ5/F1q1b0d3djRdeeAHnnXceUlNT0dDQgBtvvBFf+cpXsGHDBr+uHxFCA3x5pjA6OoqmpiasWLECpaWl4osyEoXGYDCIppgJCQlBiwwg3dkRwzCwWq2ora2FTqfzWpRACAH5+GMo/ud/wHZ00CbMpQIhYAwGwGCwj7Tev9/eLJqXh7U5OYi+5BLgq191OVkU8D72ICEhQRzy5smuCPDfrl8qwhXRBCJwOp1OMoshZ55//nnccMMNOPPMM8WGzUceeUT8vNVqRXt7uxhVKZVK/Oc//8FDDz0EvV6P/Px8XHrppbj99tv9vnbECI1gzzI0NOSyHFgul8MsYRonWKERZt1kZ2cjOTkZfX19kuxLqohGiGRiY2Oxfft2j0+ehBDgueeg+PWvwdJD/6WNzQZGrQajVqOgsRH46COQtDTw69eDO+UU8Nu328ceuKhCcx57YLFYxGbRuro6MAwzL9pxLoQRIppwWNCEwpTUl+tG0tCzlJQUj82ZK1asmFdAlJ+ff5IrQKBEhNDwPI9jx46J9iyuftGhmCFjDcAEkhCC/v5+dHZ2irNuJiYmJCsskEJoNBoNtFotkpOTsXnzZs+H/lYrmPvug/yxx5auvT/FJcyJvh1mcBDs4CDk//kPSHw8SGGhvZLttNPA7dgBpKS4/H6lUuly7MHAwMBJQ97i4+PF1/Vy6N0B7ELjbyGFIDQL/TsKNREhNCzLorCwUBwA5YpQpM5MJpNf38NxHJqbmzE9PY0tW7ZAdaJ/Qermz2CERnCGFrp5Pb3B+Lk5e6f/q68Cfv4uKEsQi0WMdtiGBsiffx58aqo92jn9dHDV1SCrVgEuomPnsQdms1mMdoSxB8L7ZaHLjRdTMcBSHHoGRIjQABCfitwhWNBIhb83dJPJhNraWgD2Cg7HBjep0l3BrEUIQUdHBwYHB1FRUYGBgQHPzsuDg5B/97v2Q//lbO9PcQ3HAXo9WL0e7MAA5B98AJKYCL64GHx19ZeVbG6inaioKOTk5CAnJ0cchyw0Bn766achGXvgjsV2RrPUnJuBCBIab4QidebrehqNBnV1dUhLS8OaNWtOevEstBO0MzabDfX19fOcCIaGhlyuQwgBf/QolNddB7atTZI9U5YBFguYqSnIpqYgO34c8v/9X5D0dPAbN9qjnVNPBSkudjlrRxiHrFAoMDExga1bt4qVbFKOPXBHOKvO/BU4g8EQkGllpLOohCYcVWeDg4Noa2vDypUrUVBQ4PLJS8rmT3+FxmAwoKamBlFRUfOcCFw5AxBCQF56CVG33AJmdFSS/VKWIRwHRqcDo9OB7e2F/N//FqMd7vTT7ZNFKyuB5OR53yb00MTExCA3Nxe5ubni2AO1Wo3u7m4YjcaAxx643274nAECSZ3RiCaE+DJlcyEjGp7n0dbWhtHRUa8GnkJEI4Ubrj+ipdFoUFtbi6ysLKxevXrem8lZsAjHgXngASgeeoja+1OkxSnaIdHRILm54CsrYTvlFPA7d4KUlLi0n3Ece1BWVuZy7IFjtBNIZLLYzmio0ISRhUydmc1m1NXVwWazuR1S5rwWII3tuq9pOKGPYdWqVSgoKHC5jiA0vE4H2Y032hv3aKc/JZRwHBi9HkxHB9jOTshffRUkKQl8SQls1dVIzs4GKioANwfe3sYeOEc7vkCFJvwsOqGRaoaGO6GZnZ1FbW2taKnt6zwJQJoQnWVZj2XXhBC0t7djeHjYY6QlCA0/Ogr51VdD9umntNOfsrAQApjNYCYmIJuYQNLRo6iMioLsqafA7dghuhSQFStcfru7sQdTU1Po6upCTEyM2LejUqncvlcXUzGAXq9HipsCi8VMxAiNN/EQ/mBSNV+5EhrBD6ykpARFRUU+C5pUI5gB7/b+9fX1ot2NpzJIhmGgbG2F8u67wbS20k5/SvjhOMgNBqCjA/LOTshfeAEkNRV8eTm4U04B95WvgK+oAFw4nnsae9DW1gar1SqKTkpKyrwhb4upGIBGNGFGEBephMYxReVYGuzND8wVgiBJkdpzJzSOh/7bt2/3OH6AEIL4jz5C9p13glGrg94ThSI5hNjPdkZHIRsdheyjj4AHHwSfmwt+xw7YvvpVcNXVQGamS2scV2MPpqenMT4+jo6OjnljD8JRDEAICTh15qtz82Ji0QgNy7IuZ9gHinDobrFY0NDQAKPR6NaVwBsMw4R0MqZarUZtbS1ycnKwatUqz53+hIB58EGsuO8+MHNzQe+HQlkQOA7QasG2tYFta7NHOykp4DdtAlddDe7UU8GvX+822omPj0d8fDwKCwthtVrFaEcYe9DV1YWMjAzJxx64Q3gPB+LeTMubQ4gvaSqpp2ISQvD5558jLi4O1dXVQUVKUvXSOK8jHPqvXr0a+fn5Hr+XmExgf/YzyJ97jnb6UxY3JhOYkRHIRkYge/99kLg4kMJC+9iDM84A95WvAG5MbB3HHvA8j4MHDyI+Ph6jo6Nob29HXFycJGMPPBGo0Oh0OhrRhBu5XC5ZL8309DQAICMjA6tWrVrQsmRPCBENIQRtbW0YGRnxWl5NCAGZmoL8mmsg+/BDOm6ZsrSw2exjDxoawDY2QvHcc+BTUkA2bYLt9NPBnXYaSEkJ4OJBUeglKygogFKphNVqFcungx174AnhYTGSTDXDyaISGikiGkIIuru70dvbC8DuWCpFFZuUc2Q4jsPx48dhNBq9HvoTQsA3N0N51VVgW1sBiRpHKZSIhBDAZAI7MgII0U5CAkhxsb2S7bTT7NY4SUkATo4sFArFvLEHWq0WU1NTJ409EKKdQO8NwrmQP98vnDXRiCaELETqzHFq5/bt23H48GFJrWOkWMtqtUKn0yElJcWnQ3/y/vuIuv56MCMjQV+bQll02GxgNBowx4+DramB/O9/B9LTwW3YAP6ss2DduRNwM9WTYRgkJiYiMTHxpLEHQ0NDXsceeCLQSjd6RhMBBGNDo9frUVtbK1q1CFM7pS4uCIbp6Wm0t7eDZVlUVlZ6PvTneeBvf0PUb38LRqsFASBItVDI7OnfjMP/evueUK8Np8/D4esYP/7ty/78XTvYn915bU+/V+fv8ffnCOff0N+1nfH0O4LTv92ufWKkNTMwAGZgAHjvPcjj4nBqWhqUF19sLyioqgLcRAyexh60tLTMG3vgbchbIBVnAK06iwgCtaGZmppCfX09cnNzsXLlSvEGLrUZZjBrCZ5q+fn5GB8f9zpDhv35zyHfuxfMiUN/x5e888vf3b99/Z6FWtsZX6/l79f4s3awP7unNQJZ25lI+xtK/XP489o56XNWK2QzM1DNzAB/+hPw6KMgWVn2KrYdO+xGoCtWuCyf9jT2YGBgADKZDCkpKUhLSxMNQx0JpKTaYrHAarVSoQkloUidEULQ19eHrq4urFmzBrm5uSetJ5UZZqBrCZNFR0ZGUFVVBYZhMOrG8JIQAqJWQ3HttWDffRcMPY+hULzCAPazS6MR6O2FvLfXbsekUoFbudLeKHr66eA2b3ZZPg24HnsguE83NzcjKSlJFJ64uLiAe2gA0IbNcONP6ozjODQ1NUGj0WDr1q1IOnE46LxeOCMaq9WK+vp6mEwm0VNtdnbWvb1/ZyeU//3fkNXXS7JnCmW5IT7O2mzA1BTkU1OQf/45yCOPgM/MtDeLnn46uFNOAbKz3UY7ycnJSE5ORmlpKUwmkxjt9PX1QaFQICYmBhzHwWaz+dw2odPpAICe0YQaV9b2jvgqDEajEbW1tWBZFtXV1W4btMJ5RqPX61FTU4PY2Fhs375dfDG6WocQAv7DDxF13XVgh4Yk2S+FQjkBz4MxGCDr7QXb2wvFv/4FXqWyTxbduRPcaaeB37jR5WRRAIiOjhbHHvA8j5mZGfT398NkMuGTTz7xeeyBUNocDl+2UBNRQuMNuVzu0XASsHfR19XVITMzE+Xl5R7/aOGKaKanp1FXV4fc3NyTenhOsvfneeDppxH9q1+BmZmRZK8UCsU1wtkOOzkJ9sMPITt4EPjzn8EXFIDfvBnc174G21e/etKsHQGWZZGSkgKdTge5XI6SkhJxyJu3sQc6nS7k00bDxaISGplMBpObjndCCAYHB9He3u7WOt/Vegsd0QwMDKC9vR3l5eXIy8s76fMsy9rPYgixP2nddhsUf/sbGItFkn1SKBTfYXge0Osha22FrLUV8hdfhFKlAr9mjV10zjwTZOXKk5pFhTMaYexBXl6eOPZArVafNPaA47iQlTbfc889ePvtt1FXVwelUokZHx5YCSH4zW9+g6eeegozMzPYuXMn/va3v6GsrCygPURUjOaLg7OrMxqe59Hc3Iyuri5s3rzZJ5ER1luoiIbnebS0tKCzsxNVVVUuRUZYBwBsc3OQXX45lI89RkVmCUM9tRcXjMUCdmIC8oMHobzjDsTu2oWYPXsgf/NNwOF96qoYQBh7sHLlSlRXV2PLli1ISUnB2NgYqqurcdVVV2F2dhbvv/++2wfqQLBYLPj617+O66+/3ufveeCBB/DII4/g8ccfx5EjRxAXF4ddu3YFvK9FFdG4Km82m82ora0Fz/Oorq6eZw/uDakjGneFClarFXV1dTCbzV4HqTEMg+jJSUSdcw7ktbWS7I0SHgjLgmFZEJkMDM/b/1eIVhUKIDoasFpBTjxcEKvV7mhsswGEeCz9poQfhuOA2VmwR45AMT0NTE/DdtVVAMN4bdh0HnvQ2tqKO++8E2+++SauvfZaTE1N4cwzz8T//u//IiMjI6h93nnnnQCAvXv3+vT1hBA89NBDuP3227F7924AwLPPPovMzEy89tpr+MY3vuH3HhaV0DgLw+zsLGpqapCamoq1a9f6XU4odR+Nq9SZXq/H8ePHERcXN+/Q3xWEELDHjuGUX/0KsokJSfZFCTEsC8hkIAoFEBUFkpAAqFQgOTkghYX2EcZlZSA2G9jhYUAmA2JiQDIzQbKzQVJSwHZ1ASYTSFISGKMR7IEDYD/+GFxnJ4jZDIbnwVqtYDkODMdRAYowGIsF7PAw5B98AO6ss0BOpMn8MelVqVTYsGEDent78Z///ActLS149913wzIErbe3F2NjYzjrrLPEjyUlJWHbtm04fPjw4hcaf1Jnw8PDaGlpQWlpacB+ZVJHNM5rTU1Noa6uDvn5+Vi5cqXHPRJCgBdeQPTNN9ND/0hC+JvJ5XYxiYkBiY8HSU0Fyc0FKSmx/++qVeDT08GoVCBZWS4rlNy90vjMTPH/EwDcKaego60NMw0N2JiYiJjYWGgTEqA/fhzy999H2sGDUBgMVHAiBcF/bXAQ7NAQuBNCE0gfjVAMsHbtWqxduzZEG/bM2NgYACDT4XUp/Fv4nL9ElNB4QxCa1tZWjIyMoKKiAmlpaUGtZ5Ho/MM5ounv70dHR4fLRlFnCMeBuftuKB56SOz0p4QBhgGJigISEkDi44H0dPDZ2fY5KGlpdlHJy7N/PiUFcFE2H+yZi3CWNzMzg8oLL0R0bCwIgFgAsZWVwLXXwvLhh+DuvhvKxkawRiMVnEiA40A4Dlx09Il/BiY0vjZr/vKXv8T999/v8WuE8SKRwKISGkKIaAXh7azDF0JRDMDzPFpbWzE+Po7Nmzcj2U0ZpABvMED+ve9B/vrr1N5/gSEAGLkcJCYGpLDQPmTriitAVqwASUy0zzuRyDbeFziOQ0NDA0wmE7Zs2eK+/+uMM8CsXg3+1VfBPPss0NpqPy+ghA0GAJefD0tpKRirFTabze8si06n81lobr75ZnznO9/x+DXFxcV+XV8gKysLADA+Po7s7Gzx4+Pj49i0aVNAay4aodFqteL8CG9nHb4iderMarXi+PHjsFgsXgsTCCEgExOQX3yx/dDfQ6MqRQJYFmBZcAkJ0KamAllZiN2yBcjMBFm50v6fG9+rhUAoGAGAzZs3e3UKJjk5sP3oR7B95zuQ33MP5P/7v2BOdJZTFh6SkgLrLbdAFhMDvV4PvV4PuVwOi8UijgtgGMZjX5/BYPB5Fo0wxjoUFBUVISsrC/v37xeFZW5uDkeOHPGrcs2RiBIad08AY2NjaGxsRH5+Pvr6+gJyRXWFlEIj2Punp6dj27ZtXg/9+bo6RH3jG2D7+yW5PsUJmQw8y4KTy8HFxsJSWgrjV76CxvJy5KxfjxXl5eAipDHObDajpqYG0dHR2LBhg3+v77g42H7zG5DSUihvvnleiS1lYSCJiTD//e9gN2+GzWBAY2MjcnJykJaWJvbECWl1QWxciY5erz/pXEQKBgYGoFarMTAwAI7jxAea0tJSMYJavXo17r33Xlx88cVgGAY//elP8bvf/Q5lZWUoKirCr3/9a+Tk5GDPnj0B7SGihMYZQgg6OzsxMDCAjRs3Ijk5GX19fX5XdLhDKqGZmppCe3s75HI5KioqvB/6v/oqon/4Q3roLyUnqrn4nBxwZ5wBZGWBLy+HLSMDGpZFn14PtcUCmUwGPc9jYmICqampkryOgsFoNOL48eNISkrC2rVrA7MfiYoCd8014N54A7IPPpB+kxS3kMREWJ57DuSMM2AwGHD8+HFkZmbOK/4RJuYKqXXHew7LsuJ/oZqueccdd+CZZ54R/11RUQEAOHDgAE477TQAQHt7O2ZnZ8Wv+cUvfgG9Xo/vf//7mJmZwSmnnIJ3330X0SfOoPwlYoXGarWioaEBer0e27dvR3x8vPhUIJXQBFveTAhBf38/Ojs7UVhYiJGREc8iw/NgHngAivvuo4f+wcKy9uqvjAwgORl8ZSW4M88Ev2vXvC5tFoB+YACzXV3YuHEjlEolJicn0d3djcbGRiQnJ4tpCH96sKRAp9OJNyYpxolzZ58N2f79dMrqAkESE2F+9lmQM88UHxgyMjJOqjAVHh4c3UME0SGEiJW0IyMjkmVrHNm7d6/XHhpnj0mGYXDXXXfhrrvukmQPESU0wh9Hp9OhtrYWMTExqK6uFvPVQsgZCcPKhOqgiYkJbN68GSzLYsiD4SVvMkH+wx9C9q9/2RvyKH5BWBaMQmEf21tWZh/Ze9llINnZ4tjek76HEHR1dWF4eBhVVVWig7dKpUJZWRkMBgMmJycxMTGBjo4OxMXFiaITzBhfX5iZmUFtbS0KCwtRVFQkzbWys0GUSvoQswCQhARYnnkG5Gtfg9FoxBdffIH09HSvbQyOs7AA+32E53l88sknqK2txRlnnLEg+19oIkpoAGBiYgINDQ1ue0/kcnnAUzadCTR1ZrFYUFdXB6vVKh76a7Val2sRQkCmpqC44grIDh2SYtvLBqJQACkp4NetA3f55fbelexskIICwEsjm/AgoNFosGXLFpcpidjYWBQWFqKwsBBWqxXT09OYnJxETU0NWJZFWloa0tPTkZqaKumT5tTUFBoaGlBWVob8/HzJ1uU3bLA7DlChCSl8XByM//gH2LPPhslkwvHjx5GWlhZQVMqyLI4cOYJvfvObeOSRR/CDH/wgRLsOLxElNMIkzHXr1s0rq3Mk1E2W3tDpdKipqUFCQgIqKyu92/s3NSHqiivA9vRIsuelDlEogMRE8Bs2gLvkEvBVVSAbNvhVDWaz2dDQ0ACLxYKtW7e6LRN2RKFQICsrC1lZWaLV++TkJDo6OmA2m5GSkoL09HSkpaUFnKcG7IUtzc3NWLNmjdvXeKCQjAx7b49WK+m6lC/hYmPR+MtfYlCpRMKRIzAYDEhJSQk49Xns2DFceuml+N3vfocf/OAHS9K5GYgwoUlLS8OOHTs8HoiFU2gmJydRX1+PgoIClJWVnZSHFapLxP//738j6tprwarVkux3qUIUCiA2Fvz69eDPP98+YnfTpoBKjQXvO4VCgc2bNwd0lidYvaekpGDlypXQ6/WYnJzE6Ogo2trakJCQgLS0NGRkZCA+Pt7nm8Pg4CA6OzuxcePGoBqN3WKz2cu4KSGBxMXBtncvVp13HjJnZlBXVwe5XI6pqSl89tlnSEtLQ1paGlJSUnyKgGtra7Fnzx7cfvvt+PGPf7xkRQaIMKERjOY84c+UTW/IZLJ54uAOx0P/tWvXIicnx+VagD1lwwDAI48g+re/pflyNwjeYHx5OfizzgJ33nkglZVBrWkwGFBTUxNcBZcTDMMgPj4e8fHxKCoqgsViwdTUFCYnJ9Hf3w+FQiGm2FJSUlxekxCC3t5e9Pf3o7KyEiqVKuh9udyrRkPLm0MEiY2FZe9e8OedB7PZjObmZqSnp2PNmjXgeR4ajQZTU1Noa2uDxWIRxzqnpaW5LDJpbGzERRddhJ/97Ge4+eabl7TIABEmNL4gdUQD2CtA3N2UhFz/5OQktmzZ4vYmIXw/Z7FAcfPNUDz7LO30d4VcDm7tWpAzzoDt0ktBTpRaBsvs7Cxqa2uRk5NzUrQpJUqlct7seLVajcnJSbS2tsJqtSI1NVVMsSmVShBC0N7eLjpFJCQkhGRfAACdDjCbQ7f+MoXExsLy9NOiyAjl6GvWrAHDMKL9v3BOo9frMTU1hfHxcbS3tyM2Nhbp6emYm5vDunXr0N3djQsvvBA33HADbrvttiUvMkCECY0vv3BXowICRRQHjnPZiW2xWFBbWwuO41BdXe0xN88wDGQGA6IuvBCKQ4dop78zLAuSnAzLU0/ZS5AlRDhcLykpQWFhoaRre0IoGBAa83Q6HSYnJzE4OIiWlhYkJiaC53lYLBZs3rw5JD0SjjBzc/ThRmJITAwsf/87+AsugMViwfHjx5GYmIi1a9e6vF85RsArVqyA1WoVH0auvvpqjIyMgOd5nHXWWfjRj360LEQGiLDBZ74gtT8Zc2J2hDNarRaHDx+GUqnE1q1bPYoMIQSkuxun/eIXUHz2GRUZBwgALjUVtlNOgenNNyUXmZGREdTX16O8vHxBRcYZhmGQkJCA4uJibNu2DTt27BCnJlqtVtTW1qK9vR1qtTrgknqvexgfp55nEkJiYuyRzO7dsFgs+OKLL5CQkOBWZFyhUCiQmZmJdevW4eWXX0ZsbCw2bNiAsbExZGdnY/v27Whubg7xTxJ+IiqiAexvWOfmIUekPKMR1nMWLqHEurCwEKWlpV47/cmHHyL6yivBTE9Ltq+lgC0jA2Pf+hbGsrMxWVKCZADpIyNiWikYCCHo6+tDX18fNm3ahNTUVGk2LQFWqxXNzc2Qy+U49dRTwbKs+FTb2NgInufnpdi8+Zr5zOwsbdaUCBIdbY9kLrxQjGTi4+P9EhlH+vr6sHv3bnzjG9/AI488ApZlMTY2hnfeecflme9SgyGe7uphwGKxeBSa1tZWMAwjmf31gQMHUFFRAZVKJd68urq6PJZYCxBCgCeegPLWW8EYjZLsZ6nAVVTA8tprdnv9E2mliYkJTE5OQqfTQaVSic2R/rpwO557VFRUIDExMTQ/RAB48y0jhGBubg6Tk5OYnJyEXq8P6nfhsDCUF1wA2cGDQf8Myx0SHQ3zU0+BXHKJKDKxsbFYv359QAUmw8PDOPvss3H22Wfjb3/7myRFKouNiItovCG4JEu5nmAH0dzcjKmpKWzdulXsIncH4TiwP/sZ5E89RTv9neC+8hVYXn3VPqoYX6aVEhISUFJSApPJJN5oOzs7ERsbi4yMDJ868jmOQ3NzM7RaLbZu3brgtjGeEGxIVCoV1qxZ4/KGwjAMkpKSkJSUhNLSUhiNRrGKTfhdCKKTlJTk89Mz09wMtqND6h9p+REVBcvf/w5y8cWwWq2oqakJSmRGR0dx3nnn4bTTTsNf//rXZSkyQAQKjS+pM5OEJcPCeseOHfPp0J8QAqLTQf7tb0P+/vuS7WOpQNLTYfnf/xVFxhXR0dHIz89Hfn6+y4584Ubr3I9gtVpRX18PjuOwZcuWoNNvUqLValFTU+O3b1lMTIz4u7DZbOLvQnDYdXQn8NQTxLa20tRtkJDoaFiefBL8CZE5fvw4oqOjAxaZ8fFxXHDBBdi6dSueeuqpkPiYLRYiTmi8IfUZDQC0tbUhNTUV69ev9/hiIISAHx5G1AUXgG1rk3QPSwKGAXfOOYAfHe/OHfkajQaTk5Noa2ubVy6ckJCApqYmREdHo6KiIqLetFL5lsnlcmRmZiIzMxOEEMzMzGBqako0AHV0J3CO5JjeXlraHAQkKgqWv/4V/KWXipFMVFQUNmzYEJDITE1N4cILL8S6deuwd+/esLuEh5tF99NLWd48MTEhzpDZuHGj10N//tAhRF9xBZipKUmuv+RQKGD76U8DHh7GsixSU1ORmpqKVatWiec6fX190Ov1UCqVyM7OhtlsDnq6qlSEyreMYRgkJycjOTkZZWVlJ/VmOBuAYnRUsmsvO5RKWB5/HPzll4sVgkqlEhs3bgxIZDQaDXbv3o3S0lI8//zz0hV7LGIiTmi8PQ1KUd4sdGp3d3cjISEBqamp3mfIPP88on/yEzB6fVDXXsrwBQUgEhVpCOc6HMdhcHAQ+fn5iI2NxdTUFLq6uvw61wkVo6OjaGlpwdq1a8Xxt6EiLi4OcXFxogGocK5TU1MDpcGAU996K6TXX7IolTD/7W/gL78cNpsNtbW1kMvlAUcys7Oz2L17N3JycvDiiy9GVHo3nESc0Hgj2NQZz/NoamrC9PQ0tm7dit7eXo99DYTnwdx+O5QPP0yb4bzAqNV2vy2J0gQTExNoamqaFy0UFBTAZrPNu9F6OtcJFSH3LfOAQqFAdnY2srOzwfM8TP/8J+T0fMZ/FAqYH3sM/De+AZvNhpqaGsjlcmzcuDGg15BWq8XFF1+MlJQUvPLKKz6ZuS4XFqXQBBrRCIaLhBDx0N/deoQQEJMJ8v/6L8jffjvYbS8LGLUaih/9CNb77weC9PMaGhpCR0cH1q5de9J4W7lcfpLT8sTExEnnOlL06zhDCEFPTw8GBgZC6lvmKyzLIunTTyGj5zP+oVDA/Oij4L/1LTGSkclkAYuMXq/HZZddhpiYGLz66qtBOXwvRSJOaLylQAI9o9FqtWLpqeOhvyuhIYSAHx9H1Pnng10GXbtSIv+//wPMZlgfeQQIoL/F8UZeUVGB5ORkj1/v6LQsnOtMTk5iYGAALS0tSEpKElNswZ7rOPbvbNmyRZy3HlbGxuj4Zj/h5XLUX389jGvXInVgAKOjo5DL5di0aVNAImM0GnH55ZcDAN54442QWw0tRiJOaLwRSEQzPj6OhoYGFBcXo7i4eJ6YOa9HCAGprUX0JZeAGRuTbN/LBo6D/PXXQVatgu3WW/36Vp7n0dbWhqmpqYBu5I79OsXFxS77ddLT05GRkeH3uY7QZzU7OxtR/TuyTz4BaNrMdxQKWB9+GHmXXoqJiQl0d3fDZrMhPj4evb29fp/5mUwmfPOb34TRaMR7770XWtPURcyiFRpCiNcXg/B03NPTg/Xr17s8sJXJZLCcsFYnhAD79iHq+9+nh/7BYLFAcd99gE4H7rvfBSku9votHMehoaEBRqPRq7ecrzj26wRzriPszWQyYcuWLRGVe2dfeQUMTZv5BFEoYH3wQfBXXYUYjoNGo0F8fDzWr18v2vw7TldNS0vz2L9kNpvx3//931Cr1fjggw+8NnkvZyLOgobneY+d/1arFfv378dZZ53lsTZd6CBXq9WorKx0a1PS29uL2dlZe3nzPfdAed999gNtSvAwDEhODmw//SlsP/iB26FcwmhshmGwadOmkJeDOp7rTE5OejzXsVqtYvPkQuzNH7jOTii/+lUoZ2fDvZXIRy6H5aGHwF19NTiOQ11dHXieR0VFxbz7CM/zmJ2dxeTkJKampmAwGJCcnCy+NoT0q9VqxZVXXom+vj58+OGHEeW1F4ksyogGsAuJpyeNmpoaAMD27ds9Ph2zLAvObIbsv/4L8n37qPOylBACZngYil/9Csxnn8H285+DbNw4r8/GaDSipqYG8fHxWLdu3YJUjPlyrpOeng6VSoXW1la3vmXhxGq1YviFF7CKjm32jlwO84MPgj8hMoK7hOModgGWZcX+pZUrV8JgMIiRcEdHB/74xz9ixYoV6O3thVqtxoEDB6jI+MCiExrB2t9ms7lMYczNzaGmpgbJycleb1yEEMjn5lB+7bWQU5+o0GGxQP7aa5C/+Sb47GxwX/sauMsvx9zGjaipq0NGRgZWr14dll4Yd+c6Y2Nj6OzshFwuR2pqKrRarV/eY6HEbDaj5vhxVL3/Pljq1uwZmQyWP/0J/DXXgOd5NDQ0wGazuRQZV8TGxqKgoAAFBQWwWq0YHBzEvffei7GxMSQkJODGG2/EBRdcgPPPPz+izF0jjUXp8Oau8mxsbAxHjhxBfn6+1ydQQgj4lhYU7t4NFRWZhYHjwA4NQfH001Beeims3/gGiqOjwyYyroiOjoZKpYLBYEBeXh7Ky8vFsviPP/5YnLYqlTuFv5hMJnzxxRdIHx9H4sBAWPawaJDLYfnTn8B973vgeR719fWwWCwnpct8hWVZHDt2DDExMejt7cW7776L4uJiPPDAA+jq6grBD7B0iLgzGkKIeDjvjoMHD2Ljxo1i6avjof+GDRtO6rtwdQ3yzjuIuvJKMDqdZHun+AdhGJCyMlj/9CfwX/mKZI2eweDOt0w415mcnMTExAQsFotoeBmKfh1XGAwGHD9+3O7L9/HHUP7sZzTV6w6ZDJY//hHc978vRjJmsxmVlZUBnbPxPI8bb7wR+/fvx4EDB8I6ZG8xsiiF5pNPPsHq1auRnp4OjuPQ1NQEjUbj8dDfcX3mwQeh/M1vAAnHDVCCgGFAMjLAbd8O7rLLwJ93nkf351Dhq2+Z49jmyclJMa0mlE6HwodNp9Ph+PHjyMrKwsqsLMRs3gxmZETy6ywJZDJY7r8f3PXXg+d5NDY2wmg0oqqqKmCRueWWW/Dmm2/i4MGDKPahipIyn0UpNIcOHUJxcTFUKhVqa2vBMAwqKiq8lp3yVivkP/oR5P/v/9EnwQiGJCaCbNoE22WXgfv61wNq/PSXYHzLHPt11Gp1wDNl3CGcO+bn56O4qAhR11wD2UsvBbXmkoVlYbnvPnA/+pFkIvPrX/8a//rXv3DgwAGsXLkyBJv2neHhYdxyyy145513YDAYUFpaiqeffhqbN28O6768EXFCA9gPOz1x9OhRpKSkYHBwEKmpqVi7dq3X8xii00Fx/vmQHT0q9XYpIYRER4OUl4Pbswe2K68EMjIkv4bgW7Zhw4agfcuEmTITExOYmpoK2odNSOUVFRVhxYoVYNraEHXeeWDGx4Pa55JEJoPl978Hd8MNoqehXq9HVVVVQKlNQgjuvvtu7N27FwcOHEB5eXkINu07Go0GFRUVOP3003H99dcjPT0dnZ2dKCkpQUlJSVj35o1FKTSHDh2CVqtFWVmZ1/kfhBBwfX2I/trXwA4NSb1VykLBMCArVsB6553gLr1UkiWd7W6k9i0L9lxnenoa9fX181J57N69iPrRjyTd55KAZe0i8+MfSyYy999/P/72t7/hww8/xPr160Owaf/45S9/ic8++wyffPJJuLfiNxEpNBaLxeWUTUIIuru70d3djZycHK9/fEIIyMcfI+qyy8DQfoOlQUwMrNdcA9sNNwAFBQEv4+hbVlVVFXLfMk/nOunp6Sf5Y01OTqKhoQHl5eXIyckBADDt7Yg69VTqWuEMy8Jyzz3g/ud/QAhBU1MTtFotNm/eHLDIPPjgg/jzn/+M/fv3o6KiIgSb9p81a9Zg165dGBoawkcffYTc3Fz88Ic/xLXXXhvurXll0QgNx3FobGzEzMwMEhMTkZCQgLKyMrdrEEJAPv0UUZdeCmZuLtRbpiw0cjn44mJw558P7hvfAFm3zudvdfQtq6qqCotvmadzHaPRiJaWFqxbt06soGTq6hB19tlUZJxhGFjvvhu2G28EIQTNzc2Ym5tDVVVVQFZBhBA8+uijuO+++/Dee+9h69atIdh0YAiN5zfddBO+/vWv49ixY/jJT36Cxx9/HFdddVWYd+eZRSE0JpNJ9CCqqKhAT08PGIbBajdDtnieB28yIerccyE7dgygTW1LG5YFycoCd/bZsH3rWyA7drid8il0hgv9FJHgWyac60xOTmJ8fBw8zyM1NRX5+flISUmB4uhRRF10EWAwhHurkQXLwvLb34K7+WYQQtDS0oKZmRls3rw5YJF58skn8dvf/hbvvPMOduzYEYJNB45SqcTmzZtx6NAh8WP/8z//g2PHjuHw4cNh3Jl3IrJh0/HMZXZ2FocPH0ZCQgK2bt2KqKgojzNkeJ4Hx3FgGhrA0vLP5QHPgxkZgXzvXkSffTai8/Kg/K//Avvvf88rYRdmwXMcF/ATbyiQy+XIzMwUXYNXrlyJuNhY9Bw5gta774bi3HOpyDjDMNDdeutJIhNMJLN371785je/wZtvvhlxIgMA2dnZWLNmzbyPlZeXY2ARNO6Gv0POA6Ojo2hqakJpaam94uaEAMlkMhiNxnlfK4iMMC2TsVgAmSzg+fWUxQszMwPZq69C9uqrILGx4Ldtg+nii1GXlwd5RkbE+ZYBdnPXvr4+VFVVQdXbC8Xvfgfm+HGwExPh3lrEQRgG/ddei6Zt2xD92WdgWRYWiyVg129CCJ5//nn88pe/xOuvv46vfOUrIdh18OzcuRPt7e3zPtbR0bEomkcjNnXW0dGBvr4+bNy4ERlOJa19fX2iKzNworKM48DzPBiGsc/6np1F1CWXgK2tBaiNOgUAr1CAbNgA7qKLwF1yCRABjXeEEHR1dWFkeBibMzOR8PHHiPrVrwCTifZ6uYJhYL39dth++UtYrVbx3JZlWRBCxKq+1NRUn/pmCCF46aWXcMMNN+Dll1/GOeecswA/RGAcO3YMO3bswJ133onLL78cR48exbXXXosnn3wS3/72t8O9PY9EpNDU1tZicnISlZWVLgcJDQ0NYXR0FFu2bJknMoLhpoDs//4PirvuAjM0RM9pKPNRKECKi2E7+2xwZ5wBdmoKzNwc+Lw88F/9KrAAA6wIIWhvboZt/35sfOMNKNrbwWg0Ib/uooVhYPnVr8DdeisIIWhra8P09DSqqqoQHR09z95fr9eL9v7p6eluCz5effVVfP/738eLL76ICy64YIF/IP956623cOutt6KzsxNFRUW46aabaNVZoExNTSEqKsptaeLo6Cj6+vqwfft2tyIDACAE7MGDkN9/P9hjx8CYTAuwe8qi5cS8HBIVBb6yEtyePfbIR3AKsFrtfmz+pmMJAQwGsPX1YIaHwQwNgWlqgrm2FvLRUUTRqkjvMAyst90G2223iaXpk5OT2Lx5s0sRMRqNYlWfRqNBXFwc0tLSkJKSApVKBZlMhrfeegtXX301nnvuOVx88cVh+KGWDxEpNDabzaM77sTEBDo6OrB9+3Zx0qZXm4+pKcifew6yl14C095uF53I+9EpkYZSCZKbCxIVBcZoBKKiwK9fD9u3vgV+3TrI6usBnge3ZQuQkAC2uRkYHgY7OAimsRFse7tdWObmQGw2MNRfz38YBtZbb4XtV78CIQQdHR2YmJhwKzLOWK1WsarvnXfewSOPPIKVK1eitrYWTz75ZMSXBi8FIlJoOI6Dzc2US0IIZmZmcOzYMWRlZSEjIwOpqan2cxlf0WhgefZZ8M8+i8T+fsicCgsoFF8hcrn9IYfn7cUnAODFq4/iH9ZbboHtjjtACEFnZyfGxsawefPmgMxLLRYL/vznP+Pee+9FWloaNBoNzjzzTOzZs2dRpKAWKxFZ3uwO4TwmPj5enCnR1taGjz76CE1NTZiYmPBpTsi4xYJP16/H+L59MPf0wPLEE+DOPBMkIYFWqVH8grHZ7Ck1jrMLDBUZSbH84heiyHR1dQUlMgDw+eef48EHH8QTTzyBkZER1NfX47TTThPHdVNCw6KJaASRcU6VEUIwNzeHiYkJjI+Pi35SGRkZSEtLmzfgiBAilpGuX78e6enp8y9sMID94APIn38esk8/BebmaHqNQgkTjpFMV1cXRkZGsHnz5pPsenzl0KFDuOSSS/DAAw/guuuui5hhe8uBiBQanudhdchluxMZZwQ/KUF0jEYjUlJSkJmZidTUVHR2dkKtVqOiosJlNds8LBYwn3wCxTPPQLZ/PzA7S0WHQlkgrDffDNtdd4n+hsPDw0GJzLFjx7B7927cfffduOGGG6jILDARLTSEkHmNmC4ryzyg1+sxMTGBsbEx6HQ6yGQyFBcXIycnxz+zPZ4Hc/w45E89Bdl774FRq2m5NIUSIqw33gjb734HAOju7sbQ0FBQxqe1tbW44IILcPvtt+Omm26KGJG57777cOutt+InP/kJHnrooXBvJ6RErDOAc6e/vyIDAHFxccjIyMDw8DBSU1ORnJyMiYkJdHV1QaVSISMjAxkZGd67iVkWZMsWWLdsgRUA09gI+d//Dtnbb4OZmLDn5ykUStBYf/pTUWR6enowODiIzZs3BywyjY2NuOiii/CLX/wiokTm2LFjeOKJJ7Bhw4Zwb2VBiMiIxmazweTQ8+JXRZkDarUa9fX1yMvLQ2lpqfgiM5lMmJiYwMTEhOgGnZGRgczMTL+dfJnWVsj27oX8zTfBDA8DbqrlKBSKZ6w/+Qlsv/89ALslT39/f1Ai09LSgnPPPRc/+tGP8Jvf/CZiREan06GyshJ//etf8bvf/Q6bNm1a8hFNRArNVVddhe7ubuzZswcXXXQRcnNz/X6RDA0Nob29HatXr0Zubq7br7NYLKLoqNVqxMfHi6Ljbz6Y6e6G7PnnIX/1VTA9PVR0KBQfsf7P/8B2770AvhSZqqoq72epbmhvb8e5556Lq6++Gr///e8jRmQA+/0tJSUFDz74IE477TQqNOFiaGgIL7/8Mvbt24dDhw5h8+bN2L17N3bv3o3CwkKvEzU7OzsxMjKCDRs2ICUlxefrWq1WcRri9PQ0YmJiRNGJj4/378U6MADZv/4F+csvg21rm+ciTKFQvsT6ox/B9sADAOw+hoK5aKAi093djXPOOQff+MY38Ic//CHgjEgo+Oc//4l77rkHx44dQ3R0NBWaSIAQgtHRUbz66qvYt28fPv74Y2zYsEEUHcd0GPDlcDS9Xo9NmzYFXKEC2NN3U1NT4ux3pVKJzMxMZGRkiHbuPjM2Btmrr4J98UWwdXVgqehQKAAA6/XXw/bHPwIA+vv70dPTg6qqKiQmJga0Xl9fH84991xceOGFeOSRRyJKZITzpg8++EA8m6FCE2EQQjA1NSWKzocffojVq1eLohMdHY0f/OAH+PnPf47TTjvNJ+dWX+E4DtPT05iYmMDk5CRkMpkY6ahUKp9Ex2AwoKamBskA1nV1QfHPf9qHslH/NcoyxXzddeD//GcAwMDAALq7u4MSmaGhIezatQtnn302/va3v0WUyADAa6+9hosvvnjeiAqO40THebPZHHHjK6Ri0QiNI4QQaDQavPHGG3jllVfw3nvvged5lJSU4Mknn0RVVVXIXmQ8z0OtVovnOgzDID09HZmZmUhOTnZ53ZmZGdTV1SEnJwdlZWVfCpPRCPbddyF/5hnIPvuMDreiLBuGdu9G7TXXICkpCQqFAmq1GlVVVUhKSgpovdHRUZxzzjk49dRT8dRTT0XkDVur1aK/v3/ex66++mqsXr0at9xyC9b5MY58sbEohcaR1157Df/93/+N888/H2azGe+//z6ys7Oxe/du7NmzBxUVFSEVnZmZGbFBlBCC9PT0ef5r4+PjaG5uRllZGfLz890vZrOBPXAA8n/8A7IDBwCdjjaIUpYk1u99D7aHH4bJZEJnZyfGx8cBQDwTTU9PR1JSks/p6fHxcZx77rnYvHkznnnmmYgUGXfQ1NkioL6+HqeccgqeffZZ0eZbp9Ph3//+N1555RW88847SElJwUUXXYQ9e/Zgy5YtIXsREkIwOzuL8fFxTExMwGq1IjY2Fnq9HmvXrkWWYDXv22JgDh2C/MknIfvPf8BQVwLKEsH23e/C+sgjAOypro6ODlRWViI+Pl50WJ6amgLDMPOGmLl7305NTeG8887DmjVr8MILL8yznFoMUKFZJAwODrqNFAwGA9577z288sorePvttxEXF4cLL7wQe/bsQXV1dchelDzPo6mpCZOTk1AqlfP819LT0/27LiFgjh2D/OmnIXvnHTDT09SVgLIosV19NayPPgrgS5GpqKhAcnLyvK8TMgXCPBmz2YzU1FRxiJng6qFWq3H++eejuLgYL774on9uH5QFZdELja+YTCb85z//wb59+/D6669DLpfjwgsvxMUXX4xTTjlFsuIBofLNYDCgoqIC0dHR0Ov1YqSj1+uRmpoqio6/bw6moQHyvXshe/NNMOPj1JWAsiiwfec7sD72GABgeHgY7e3tLkXGGUII9Hq9KDojIyO4//77ceqpp+LDDz9EUVER9u3bh6ioqIX4MSgBsmyExhGr1YoDBw7glVdewWuvvQaO43D++edjz549OO200wJ+0ZrNZtTV1UEmk2Hjxo0uxUvwX5uYmIBWq0VycrJohePvdZmODsj+3/+zN4gODFDRoUQktquugvWvfwUAjIyMoK2tDZs2bfKrx01gamoKTzzxBB555BEYDAaUlpaKlafbt29fVOczy4llKTSO2Gw2fPrpp3jppZfw2muvQa/X4/zzz8fu3btx5pln+mxJo9PpUFtbC5VKhbVr1/pUgGA0GkXRmZ2dRVJSEjIzMz3OOHdLXx/kL7wA2SuvgO3qoq4ElIjA9l//BesTTwCwV4a1trYGLDKA/X12ySWXQKlU4p///Cc+/fRTvP7663jnnXfQ3Nx88ugPSkSw7IXGEY7jcPjwYbz88st49dVXodFocM4552D37t04++yz3TaACp5q+fn5KCkpCcjuwmw2i6Kj0WiQkJAg9ur4PeRpZASyl16C/MUXwba20mFclLBg+9a3YH3qKQBfiszGjRuRmpoa0HoGgwGXXXYZeJ7Hv//973keaIK7OyUyoULjBp7ncezYMVF0RkdHcfbZZ2P37t0499xzRXuMd999F3K5HKtXr0ZeXp4k17ZYLPOscAQXasF/zR8hm+vrw8Rf/4rijz9GXEcHYDZLskcKxRO2b34T1r//HQAwNjaGlpaWoETGZDLhiiuugE6nw3vvvRdwUyclPFCh8QGe51FXVyeKTl9fH8444wxwHIePP/4Y77//PiorK0NybavVOs8KJzo6WrTCSUhI8Cg6U1NTaGhoQElJCQoLCwGdDuxbb0H+7LOQHTlCXQkoIcF2xRWw/uMfAOw9Lk1NTdi4cSPS0tICWs9sNuPb3/42Jicn8f7773stIAg19957L/bt24e2tjbExMRgx44duP/++7Fq1aqw7iuSoULjJ4QQ1NfX47vf/S4aGhoAAGeccQb27NmD888/H6mpqSFziuU4DlNTUxgfHxf914RCAucGt5GREbS2trrv4TGbwe7fb5+r88kn1JWAIgm2yy+H9emnAXwpMhs2bAj47MRqteLKK69Ef38/9u/fH3BEJCWCYeeWLVtgs9lw2223oampCS0tLUH5Ky5lqND4iVarxeWXX47h4WG89dZbMBqNeOWVV/DKK6+goaEBp556Knbv3o2LLroIGRkZIRUdtVqN8fHxef5r6enpmJ2dRX9/PzZu3OjboSvHgT18GPLHHrO7Emi1IdkzZWlju+wyWJ95BgAwMTGBxsbGoETGZrPhmmuuQVtbGw4cOBCxB/2Tk5PIyMjARx99hK985Svh3k5EQoXGT6anp3HbbbfhgQcemOfLRAhBT08PXnnlFezbtw9ffPEFduzYgYsuugi7d+9GTk5OyESH53loNBqMj49jdHQUPM8jIyMDubm5SElJ8fuQlKmrg/yRRyB//31AownJnilLC+7SS2F59lkA9htvQ0MD1q9fj4yMjMDW4zhcd911qK2txYEDB/xz1lhgurq6UFZWhsbGxiXtVxYMVGhCACEEg4ODougcPnwYW7ZsEa1wCgoKJBcdjuPQ1NQErVaL0tJS0YON47h5/mv+9hkwbW2Q/+Uv9rHVU1PUCodyErZLL4XVSWTWrVuHzMzMgNbjOA4//vGP8dlnn+HgwYMeBxeGG57ncdFFF2FmZgaffvppuLcTsVChCTGEEIyMjIjjDT755BNs2LABe/bswe7duwMuh3bEarWirq4OhBBs2rRJdBsghGBubk50JXC0wklLS/Pbgofp64P80Uche/11MGNj1AqHAtuePbA+9xzAMJiamkJ9fX1QIsPzPH7605/iww8/xIEDB+xFLBHM9ddfj3feeQeffvqpZFWnSxEqNAsIIQQTExN47bXXsG/fPhw4cACrV68WRWf16tV+i47JZEJtbS2io6OxYcMGtxELIQQ6nU4UHaPROM8Kx18LHmZkBPLHH4fs5ZfBDA1RV4JliG33bliff14UmYaGBqxZsybgNBfP8/jFL36Bt956CwcPHkRxcbHEO5aWG264Aa+//jo+/vhjFBUVhXs7EQ0VmjAhzNR5/fXX8corr+A///kPiouLxfEGvrgLCG4EKSkpKC8v9+ssRqfTiQ2iOp0OKSkpYgWb3+aEExOQ/+MfkL/4IpieHupKsAyYOuUUTD35JDIyMmAwGFBfXx+0yNx+++146aWXcPDgQZSVlUm8Y+kghODHP/4xXn311Yjfa6RAhSZCmJ2dxZtvvikOcsvNzRVFZ9OmTSeJyMzMDGpra4NyIxAwGAyi6MzNzUGlUolWONHR0f7+IJA9+yxkzz8PtrUVDBWdJYf1nHPQ+9BDmJiYgFqtBgCkp6ejpKQE8fHxfr8WCSG466678Mwzz+DgwYNYvXp1KLYtGT/84Q/xwgsv4PXXX5/XO5OUlOS/ddQygQpNBKLVaufN1ElLSxOdprds2YIXXngBjY2NuOGGGzwPUwsAk8kkDnKbnZ1FYmKi2CDq65uI4zjU19fDNjuLLe3tiH7xRbD19dSVYAnAnXsuLC+/DMBuvVRbW4vs7GzYbDZMTU1BoVCI6ViVSuU1yiaE4L777sPjjz+OAwcOLIqqLXdC+vTTT+M73/nOwm5mkUCFJsIxGAx49913xZk6gD3tdeONN+KOO+4IqVut2WzG5OQkxsfHodFoEB8fL4qOu8Y0q9WK2tpasCyLTZs2fVlwYDZDtm+fPdr54gvaILoI4c45xy4yDAONRoPa2lqsXr0aOTk59s+f6O0SLP0JIWLxiauKR0IIHnzwQTz44IPYv38/Nm3aFIafirIQUKFZJBBCcPvtt+ORRx7Bzp07cfToUSiVSjHS2blzp2QzdVxhtVpF0XH0X8vIyBDTJUJhQkxMDNavX+9eBG02sG+/bZ+rc+iQfWw1JaLhzj4bln375onMqlWr3JYeCxNnhZSsMLwsNjZWjJIfffRR3H///XjvvfewZcuWBf6JKAsJFZpFwu23345nn30W7777LtasWQOLxTJvpg7P87jgggvEmTqhnDYopEkEK5zo6GgkJydjcnISqampWLNmje+FCRwH9sAByPfuBXvgAJiZmZDtmxIY3FlnwfLaawDDYGZmBjU1NVi5cqXP5bzC8LKJiQm89NJLuOeee5CdnY2pqSk8//zzuOSSS0L7A1DCDhWaRUJbWxvi4+NdvrltNhs++eQTcaaO0WicN1PH7wN9P+A4DkNDQ+jq6gIhBFFRUWKko1Kp/DsYJgTM4cP2SOe99+wNopSwwp15Jiyvvy6KTG1tLUpLSwM+GySE4IEHHsB9992H9evXi303F198MX7961+HzD0jkiGELPmfmwrNEoPjOBw6dAgvv/wyXnvtNczMzGDXrl3Ys2cPzj77bP9n23hBo9Ggrq4OK1asQEFBAdRqNSYmJjA5OQmGYUTRSU5O9s8KhxAwjY2QPf005G+9BWZkRNJ9U7zDnXEGLG+8ATAMZmdnUVNTE7TIPPfcc/jZz36GN954A6effjo0Gg3efvttNDU14b777pP4J4hsDhw4gNNPPz3c21gQFpXQvP3227jrrrvQ0NCA6OhofPWrX8Vrr70W7m1FLDzP4+jRo+J4g/HxcXzta1/Dnj17cM4554gzdQJlcnISjY2NLtMogv+akKMnhMyzwvF7SFVnJ+TPPAP5K6/Yx1ZTQgp3+umwvPnmPJEpKSlBQUFBQOsRQvCvf/0LP/7xj/HKK69g165dEu94cTE6OooVK1Zg165deOONNwAs7chm0QjNK6+8gmuvvRa///3vccYZZ8Bms6GpqQmXX355uLe2KOB5HrW1tXj55Zexb98+DAwM4KyzzsLu3btx3nnnnTRmwBvCGAJf7EYIIaL32sTEBGw2G9LS0pCZmRmQ/xqGhiB/7jnI//lPMF1d1H9NYrivfhWWt98GGAZzc3M4fvw4iouLg7KD2bdvH6677jq8+OKLuOCCCyTcbeA89thj+MMf/oCxsTFs3LgRf/nLX7B169YFuTYhBP/5z3/wne98B5s3b8brr78ufnwpis2iEBqbzYYVK1bgzjvvxHe/+91wb2fRQwhBU1OTKDodHR04/fTTxZk6KSkpHl/sAwMD6OrqCmhiouC/JvTqmM1mUXQC8V/D5CRkL74I+f/7f2BbWqj/WpBwX/kKLP/+9zyRKSoqwooVKwJe86233sLVV1+N5557Dhf///bOOyyKa3/j7+zSVJQiRcUC2GgqirgoRjT6s6DIGjRKiCaaqCl2Y8TEGKOJ0WsJVsQYJVfjtQCGgBFBRdEYIlVRQ7EgTZYFdVnatjm/P8jOlSuJtGUp5/M8+zw6W+Y7C8w7c873vO+MGU1XbCM4deoU5s2bh4MHD0IgECAgIABnzpxBRkZGgx2nG8LVq1fh6+uLIUOG4Pz58wDapti0CqG5efMmBAIBjhw5gj179qCwsBDOzs7Yvn17q1jg1ZIhhCAjI4PL1ElLS8OYMWPg7e0NLy+vGpk6LMviwYMHyM/Px9ChQ2vEJDR032orHJFIhMrKSpiamnKuBPVu1y4tBS80FPL9+2GYkQGGik69UI0eDXlUFMAwkEqlSEpKgrW1daNEJioqCnPnzsXRo0db1OiDQCCAq6sr9u3bB6D6d7tXr15YunQp/P39m60OlmVx48YNzJ49Gw4ODoiOjgbDMG1ObFqF0Jw8eRK+vr7o3bs3du3aBWtra+zcuRPR0dHIzMysW7gX5ZUQQvDgwQMu3iApKQmjRo3ihtc2bNiADh06YMeOHTA0NGzy/atbYEUiUYP819SOBAqFAsPs7aEfEwPdoCDwbt4EFIomr7ctwY4cCVl0NMDjcSLTp0+fRplFXrp0Cb6+vggKCsJbb73VYk6ccrkcHTt2REhICIRCIbf9nXfewfPnz7lhLE2gUqnA5/OhPu2qv5P4+HjMmjULffv2xcWLF6Gjo9OmxKaeM7JNi7+/PxiG+cdHeno62L+uTD///HP4+PjAxcUFR48eBcMwOHPmjDYPoU3BMAz69euHtWvXIj4+Hg8ePIBQKERoaCgcHR3xyy+/wMLCAiUlJdDE9UmnTp1gY2MDNzc3uLu7w9TUFAUFBYiLi0NiYiJycnJQVVVV63uVSiWSk5PBsixcXFyg26ULWB8fyKKjUVlUBFlYGNjXXwf09Zu87tYOO3IkZDExAI+HsrIyJCUloXfv3o0Smbi4OLz11lvYu3dvixIZACguLoZKpXppbtHS0hKFhYUa269aZB49egR/f39MmTIFW7duxcWLF+Hm5oazZ88iLy8PHh4ekMlk3J1NW0CrQrN69Wr8+eef//iwtbVF9+7dAQAODg7ce/X19WFra4sc2oGkERiGQZ8+fbB48WJ07twZgwYNwpdffomkpCQMHjwYHh4e2LVrFx48eKCRP4YOHTrA2toaI0aMwOjRo2FhYYGioiJcv34dN2/eRHZ2Nir+srGRy+VISkoCn8/H0KFDX57n0dMDO2kSZBERqBSLUXXhAlTTpgE03x2sm1u1yDAMJzK9evVqlEX/jRs38Oabb2Lnzp149913W5TIaAtCCPh8Ph4/fgw3NzcUFBRgyJAhSEpKwltvvYWEhAQMHz4cp06dwvPnz+Hs7IyKioo2893Vc+a1aTE3N69TDriLiwv09fWRkZGB0aNHA6i2RMnOzm7xwUitnVWrVkGhUODatWvo0qUL1q1bB5FIxGXqbNq0Cfb29lymzsCBA5v8j8PAwAC9e/dG7969IZfLue61+/fvo2PHjlAoFDA0NKzV5fol+HyQ0aMhHz26eq3OX7HV/KgoMKWlTVp3S0c1YgTkf4lMeXk5kpKSYGVlhb59+zb4M2/evImZM2diy5YtWLhwYYs8UZqZmYHP50MkEtXYLhKJNBYZzTAM5HI5PvnkE3h5eeHw4cMAgMGDB2PkyJGwt7cHUH2uO378OPz8/JCeno5hw4ZppJ7mplXM0QDAihUrEBISgiNHjqBPnz7Yvn07IiIikJ6eDhMTE22X12ZR+5rV5i5ACMHTp09rZOr069ePizeolxVNA1DPJfB4PCgUCnTo0AEWFhawtLSsv109IWAyM6tjqyMi2rwrAevqCllsLCcyiYmJnMg0VBySk5Ph5eWFL774AitXrmyRIqNGIBBgxIgR2Lt3L4DqSfnevXtjyZIlGmsGkMvlGD9+PFavXg2hUIjXXnsNDMMgIiICRkZGuHbtGszMzGBvb4/y8vK/Na5tjbQaoVEoFFi3bh2OHTuGyspKriXR0dFR26VR8F8TRXWmTnR0NHr27MmJzpAhQ5pUdMrLy5GcnAwzMzPY2dlBpVKhuLgYRUVFKC4uhp6eHic6Xbp0qf9J7/Fj6B44AH5YWJtzJZAMGIDskydhYWkJHR0dJCcno3v37ujXr1+DxeH27duYOnUq1qxZg7Vr17ZokQGq25vfeecdBAUFYcSIEQgICMDp06eRnp7e4Bjq2lBP6LMsi4qKCsyZMweLFy9GUFAQnj59isjISJiamqK4uBibNm2Cm5sbfH19W/z3V19ajdBoE5lMBoFAgFu3biElJYXamdcBqVSKc+fOITQ0FFFRUTAzM8P06dMxY8YMDB8+vFGio55L6N69O/r37//SH6VKpUJJSQlnhcPn82tY4dT7j7ioCDpBQdULRLOzG1x3S0A1dCjyQkJQVFwMsVgMpVIJQ0ND9O/fH6ampg36udy7dw9TpkzBkiVLsGHDhlZzkty3bx+3YNPZ2Rl79uyBQCBo9OcSQsCybK0LkdesWYOdO3fCwcEBf/zxB3fXcvz4cXzxxRc4ceIERo4c2egaWhpUaOrA8uXLkZWVhfPnz1OhaQDl5eWIiopCWFgYIiMj0aVLF0yfPh1CoRBubm71cgaQSCRISUnhuqJedVJjWZbzXysqKgLDMDA3N4elpWX9/dcA4Nkz8P/9b+gGB4PJzKzfe7UM6+wM2bVrAI+HiooKJCYmwsjICHp6ehCLxVCpVDVsguryc8nIyMCUKVPw3nvv4euvv241IqMJysrKarT9V1VV4cCBA+Dz+TAyMuJC0RYtWoQTJ04gMDCQG3729/fHoUOHMG/ePC1Vr1mo0LyC8+fPY9WqVVyLLxWaxlFZWYmYmBiEhYXhl19+gb6+Pry8vCAUCl+ZqaM28GyoHQrLspwVjkgkAsuynOiYmprW3wqnvLzaleDQIfDS0updT3PCDhkC2W+/AQyDyspKJCYmwsLCAgMGDODaaGtzbLCwsICZmVmtP5f79+9jypQp8PX1xb/+9S+Nzse1dMRiMRYsWABvb2+8//77AIB+/fpxzSrPnz9Hnz59EBYWBmNjY3z66aeIjo6GXC6HnZ0d5s6dCz8/Py0fheagQvMPiEQiuLi44Oeff4aZmRlsbGyo0DQhcrkcly9f5jJ1AHCZOh4eHjUWaRYUFCA9Pb1eOSj/hHpOSSQSoaioCAqFooYVTr1FRyaD7ORJYPduGGdltSgrHHbw4GqR4fE4kTE3N//bDkF1foxIJIJYLK6xeFY995WdnY3JkydDKBQiICCgXYsMANy9exdr166FVCrF/PnzwTAMwsPDcerUKUilUuTl5XF3NMnJyQCqrZzUTSttvaGJCs3fQAiBp6cn3N3dsX79emRnZ1Oh0SBKpRJxcXFcpk5VVRWmTZsGb29vFBYW4ttvv0VMTEyj7FD+DkIIpFIpdzVfVVX1yqv5/0XtC2ZtbQ2bXr3Au3wZujt3ghcfDyiVTV5zXWEHDYLsxg2Ax0NVVRUSExPRtWtX2NnZ1XmYq7KyEkVFRcjOzoZQKISNjQ1EIhGmTJmC48ePt3uRUXPnzh1s27aNM451d3fHpk2buOezs7Mxfvx4TJkyBfv27eMaBdqSA8Df0e5+Q+rqRrB3715IpVKsW7dO2yW3C3R0dPD6668jMDAQeXl5CA8Ph4mJCRYvXoylS5eiZ8+euHXrFrdIsylhGAZdunRBv379MGrUKAgEAhgaGiI7OxtXr15FSkoK8vPzIZfLa32/RCLhHI5tbGwAHR2wEydCduECKp89Q1VUFNiJEwENBtDVBuvo+JLImJqa1ktkgOrFs3369IGHhweio6MhFos5C5dhw4bhq6++Qn5+vgaPpHXg5OQEf39/dOvWDYmJiXjw4AH3HMuyXCzAo0ePAPzXfqatiwzQDu9oxGIxSkpK/vE1tra2ePPNNxEREVHjl0BtIeHn54cff/xR06W2e77//nusWrUKmzdvRm5uLs6ePYuioiJMnDgRQqEQkyZNanSmzqtQ+68VFRVBKpXCxMSE62DT19fnUifrlNVCCJikJOh+9x34MTFAebnG6mYdHCCLjwf4fFRVVSEpKQkmJiawt7dv8IlNfRfj6uqK4OBgrrMwLCwMGzZswJAhQ5r4KFo+td2NZGVlYcuWLYiJicHq1auxcuVK7rmNGzfiypUriIyMRKdOndqFyADtUGjqSk5ODkpfWCleUFCASZMmISQkBAKBoEnmCSh/z927d+Hu7o6IiAi89tprAKqvCpOTk7l4g9zcXEyYMAFCoRCenp4NWy9TD9RDSEVFRZBIJOjUqRPKy8tha2tbf8sWQsDcuwed3bvBj4wEI5E0WZ3E3h5VN28CPB5kMhkSExNhbGwMBweHBn8/YrEYU6dOhaOjI3766af6xzm0QdQXngDw/PlzGBgYQEdHBzo6OsjKysK2bduQkJCAiRMnwsfHB4WFhXj77bfx5ZdfYs2aNVquvnmhQlNH6BxN8yMWi//Woohl2RqZOllZWXj99dfh7e1dp0ydxiISiZCWloYOHTqgsrISnTt35u50GrSi+/596AYGgh8aCkYsbnBdrJ0dZDdvAnw+ZDIZkpKS0KVLFzg6Ojb4+3j69Ck8PT3Rt29fnD59uv7xDc1AdnY2Nm/ejMuXL6OwsBA9evTA22+/jc8//7xOzt/15UWRWbJkCW7fvg2WZeHh4YFVq1aha9euuH//PrZv345jx47ByMgIQqEQ9vb2WLZsWZPX09KhQlNHqNC0XAghSE9P50Tnzp078PDw4DJ1zM3Nm1R0SkpKcOvWLdjZ2aFHjx6Qy+UQi8UoKiriLHvUrgQNGh7JyYHODz9A5z//AVOPuQ924EDIEhMBHg9yuRyJiYmNFpnnz5/Dy8sL3bt3R1hYmEZO2k1BVFQUTp06BV9fX/Tr1w937tzBwoULMXfuXOzYsUNj+/X29sbDhw/x+eef49GjRwgODoa9vT0OHDiAHj16IDc3F9988w2uX7+OvXv3Yty4cRqrpSVDhaaF0dxXZm0NdaaOWnRSUlK4TJ3p06eje/fujRKd4uJi3L59G/b29pyr+IsoFIoaVjgGBgac6HTu3Ln++xaJ/rtA9B9cCVhHR8h+/x3g8zmR6dy5M5ycnBp8vKWlpRAKhTAyMkJ4eHitfnctme3btyMwMBAPHz7U2OeHhITg119/RdeuXbF582bs2LED1tbWsLS0xNGjR2FlZYUHDx7g7t27mD59ukbqaA1QoWlhaOvKrC1CCMHjx48RGhqKs2fPIj4+HiNGjIC3tze8vb3Rq1evep2ExWIx0tLS4ODgUCeXX7X/mkgkQnFxMXR1dTnRMTIyqr8APHsGnZMnwf/hB/AyMwGVCujYEcpFi6DYtIkTmaSkJHTq1AlOTk4Nbj0uKyvDG2+8AT09PZw7dw4dOnRo0Odok/Xr1yMqKgqJiYka+fxjx44hNzcXn332GbZv347vvvsOJ06cQGZmJlauXIlRo0bhwIED6N+/v0b235qgQtMK0PSVWXuAEIL8/HyEhYUhLCwMv/32G5ydnbl4g1fZ2RQVFSEtLQ1OTk4NMl1UqVQ1rHBe9F8zNjauvyBUVIApLgaxtOTC3NQi07FjRwwaNKjBIlNRUYGZM2eCEIJz585pJE1V09y/fx8uLi7YsWMHFi5cqLH9SCQSPHv2DDNmzIC/vz9mz56Nx48fY9KkSQCADz/8EMuXL9fY/lsL7W4dTWtEIpHQuOpGwjAMevbsiWXLliE2Nha5ublYsGABrly5gqFDh8Ld3R3btm1DRkbGS0FuT548QVpaGgYNGtRgZ18+nw9zc3M4OjrCw8MDjo6OYFkWaWlpiIuLw71791BcXMylyb6Sjh1BevfmREahUCA5ObnRIlNVVQVfX1/I5XJERERoXWTquu7tRfLz8zF58mTMmjWrSUWmtmtyIyMj5ObmIi8vjwtmLCoqwtChQ3HkyBEqMn9B72haOM11ZdZeIYSgpKSEy9S5dOkS+vfvzzlNX79+HcHBwQgPD4eFhYVG9v/8+XPOCqchxpYKhQJJSUkwMDDA4MGDGywyMpkMfn5+KC4uRnR0NIyNjRv0OU1JXde9qecvCwoKMHbsWLi5uSE4OLjRrgUXLlyAVCqFUCiEjo5OretmMjIyMG/ePNja2sLb2xsbNmzAxIkTsW/fvkbtuy1BhaaZ8Pf3x7Zt2/7xNX/++Sfs7Oy4/+fn58PDwwNjx47lEvkomkPtf/bLL78gNDQU58+fh1KpxLRp0+Dv79+ok3hd919aWsqJjlwur2GFU9vaFfWdjJ6eXqMyf+RyOebNm4fc3FxcunSpVd5B5+fnY9y4cVxKZb396l6AEAKVSoUxY8ZAKpVi8+bNmDp1KnR1dV8SG5VKhQMHDuDUqVMoKiqCu7s7jh492hSH1GagQtNMaPvKjFI/1MMey5YtQ0ZGBqKiomBhYcHd6bi4uGhcdMrKyjjRqaysRNeuXWFhYQFzc3Po6upCqVQiOTkZurq6jRIZhUKB9957DxkZGbh8+XKd4tVbGvn5+Rg7diz69OmDH3/8sYbINCaeuby8HLNmzYJIJIK/vz+mT58OfX39l3zKpFIpqqqqwLJskwantRWo0LRAmvLKjFJ/rl27Bk9PT0RERGDs2LEAqk8458+fR1hYGM6dOwcjIyMuU0cgEGj8Z1RWVsY1EpSVlcHExASVlZUwMDDA0KFDG7x/pVKJxYsX49atW4iNjW21J8ng4GDMnz+/1ucaeopTKpXQ0dGBXC6HUChEQUEB/P39IRQKa7R6Z2Vl4ZNPPsGKFSva7TqZV0GFpoWhqSszSt1hWRaZmZk1hjFfpLKyEtHR0QgLC0NERAQMDAxqZOpo2p5FKpUiNTUVSqUSKpUKxsbGXAdbfda6qFQqLFmyBL///juuXLmCHj16aLDqlo36zqSkpARdu3bltqsdAFQqFd544w08evQIa9euhY+PDwwMDJCdnQ1vb2/weDykpKRo8QhaNlRoWhiauDKjaA65XI6LFy8iLCwM4eHhYBgGU6dOxYwZMzBmzJgmX2SrVCqRkpICHo8HZ2dnKBQKLt5AIpGgS5cu3Fqdf1r7wrIsVqxYgdjYWMTGxr7aELQdkJaWhqlTp+LmzZs1LupetJvx8fFBRkYG1q1bB1dXV/j5+UFHRwe///67tspuFVChacfs37+fy0wfMmQI9u7dixEjRmi7rFaLQqHgMnXCw8Mhk8kwdepUCIVCjBs3rtEr61UqFVJSUsAwDJydnV8aLpPJZBCLxRCJRHj27BkMDQ1haWn5kv8ay7L49NNPce7cOVy5cqU62oCCGzduYPbs2bh9+/ZLQWQvis2cOXOQmpoKiUQCKysrjS0IbUtQoWmnnDp1CvPmzcPBgwchEAgQEBCAM2fOICMjQyNtvO0NlUqF69evIyQkBD///DNKS0sxZcoUCIVCTJgwAR07dqz356mHZuoyJ6NQKDjRKSkpAcMwOH/+PHx8fBAeHo6wsDDExsbSVesvIJfL0b9/f+zcuRMzZ8586fkXxWbmzJkoLCzE9evXm7vMVgkVmnaKQCCAq6sr1+vPsix69eqFpUuXwt/fX8vVtS1YlkV8fDwnOmKxuEamzqsWRapUKqSmpoJlWQwbNqzeE/9KpRJpaWn44osvEBcXBwCYP38+Fi1ahOHDh7ebTJQXYVm2Rpcey7JQKBTw8PCAj4/P39r4vyg2lLpDe2bbIWqrkgkTJnDbeDweJkyYQMeaNQCPx8OoUaOwa9cu3L9/H5cvX0b//v2xefNmWFtbY86cOfjPf/4DiUTy0jycSqXCrVu3wLJsg7vLdHR04OzsjFGjRsHExAQ7duxAZWUlJkyYAGtra9y9e7epDrXVwOPxcP/+fZw5cwZ5eXmQSqXQ19fHG2+8geTkZADV3/3/wufz6+7eQOGg6UXtkOLiYqhUqpdaWS0tLV+y86A0LTweD66urnB1dcWWLVtw+/ZthIaGYteuXfjoo48wfvx4TJ8+HdOmTYOenh4WLVoEPz8/TJo0qcHdbIQQ7Nq1C4GBgbh8+TKXhCmTyXDp0qX6h7a1cgghqKiowOLFi5GcnAxzc3NIJBKMHDkSqamp6NChAyoqKtCxY8da72Domrb6Q78xCkVLqDvHNm/ejDt37iAlJQVubm44ePAgbGxsMHDgQNy8eRMDBgxo8HANIQR79+7Fd999hwsXLtSIW9bX14enp2eLcmaWyWRwdnYGwzBITU3VyD4YhkGnTp1w+vRpiMVihISE4Ntvv8Xo0aO5qOv58+dDKpVyrc2UxkGFph1iZmYGPp8PkUhUY7tIJKJrdbQEwzBwcHDAhg0b8Mcff2DMmDHo1KkTLC0tMXz4cHh6eiIoKAhPnjypc5s7IQRBQUHYunUrfv31VwwfPlzDR9F4Pv3002Zbz2NiYgIdHR0MHjwYCxYswCeffIKff/4Z69evx6NHjzBv3jyUlpbS4bImgApNO0RPTw8uLi64dOkSt41lWVy6dAkjR47UYmUUlUqF2bNnQyKR4M6dO0hOTkZmZia8vLwQEhKCgQMHcoaNubm5fys6hBAcPXoUGzduREREBNzc3Jr5SOrP+fPnER0d3Wy5S+ohMPV3yLIs9PX1MXPmTCxduhTFxcXw9PSERCKhw2WNhVDaJSdPniT6+vokODiY3Lt3jyxatIgYGxuTwsJCbZfW7jl8+DApKSl5aTvLsiQnJ4cEBASQMWPGED6fT1xdXck333xD7ty5Q8rKykh5eTkpKysjgYGBxNDQkMTGxjb/ATSAwsJCYmVlRRISEsijR48IAJKSktLsdbAsSwghRKlUksOHD5M33niDPH36tNnraGvQ9uZ2zL59+7gFm87OztizZw8EAoG2y6LUAUIICgsLcfbsWYSFheHq1atwcnKCt7c39PX18c033yAsLAwTJ07UdqmvhBACT09PuLu7Y/369cjOzoaNjQ1SUlLg7OyslXoYhgHLspDJZC1qDqvVolWZoxCWZbmrqPbAli1byPDhw4mhoSExNzcn3t7eJD09XdtltWpYliVisZgcPnyYvP766wQAOX78uLbLImvXriUA/vHx559/kt27dxN3d3eiVCoJIUSrdzRq2tPfZHNA72i0SHl5eQ1rkPbA5MmTMWfOHLi6ukKpVOKzzz7DnTt3cO/evXb3XWgC8ldkdc+ePbVdSp2jMd58801ERES8lPHC5/Ph5+eHH3/8UdOlUjQMFRotMmfOHBgaGmL//v3Q/yuSV71imdSS5NcWEYvFsLCwwNWrVzFmzBhtl0PRAjk5OSgtLeX+X1BQgEmTJiEkJAQCgaBFiCalcdAFm1rk448/xtSpU7Fz504uTInH46GwsLDdtBlLJBIAaJWJjpSm4X+do9WWPH379qUi00agPXtaxMrKCr169cKvv/4KoDrcavfu3bC1tUVgYODfvq+t3ISqrerd3d3h5OSk7XIoFIqGoHc0WoJlWdja2sLY2Bj37t2DRCLB3LlzkZWVhR07duDDDz8EgFqH0NrKkNrHH3+MO3fuUAdcSg2sra3bzMUUpRo6R6NlTpw4ga+//hpSqRS9e/fG/v37uZbOFx1m1ZOjFy5cQGZmJubOnQtjY2PtFd5IlixZgvDwcMTFxdE8FAqljUOHzrSA2s7iyZMnuHv3LtLT0zF27FhERkbWWDfw4mpk9b/PnDmDY8eOIS8vr1lrbioIIViyZAnOnj2Ly5cvU5GhUNoBdOismVHfmWRnZ2PWrFkwMzMDALi6usLExAQKhQK6urovvY9hGEilUmRmZsLDwwMODg7NXXqT8PHHH+PEiRMIDw9H586dUVhYCAAwMjKiC+MolDYKvaNpZvh8PuLi4jBmzBgYGxvj6NGjWLBgAS5evAiVSlWryKjvgK5evYqysjIMHjyYa4GuDUIIlEplixznDgwMhEQiwdixY9G9e3fucerUKW2XRqFQNAQVmmZEqVRi8eLFePvtt+Hp6Ylff/0V3bp1g4+PD+Li4lBeXv6P74+JiYG5uTmGDRtWY7taUEpLSyEWi8EwDHR0dGptGoiMjMT58+eb7qDqCSGk1se7777brHVs3boVDMNgxYoVzbpfCqU9QoWmGWEYBoMGDcJ3332HAwcOQFdXF4QQDBw4EN26dePanP8XHo+HiooKpKSkwM7ODgMHDuQ+70VOnz4Nb29v2NvbY926dcjPzwfw36TAkpIS/Pvf/8Znn32mwaNs+SQkJCAoKAiDBw/WdikUSruACk0zwufzsWTJEvj4+NSY6Le1tYWpqSmuXr0KoOY6GfWwWVxcHMrKyuDs7AwdHZ0ar1ELTu/evREQEIC1a9ciISEBH3zwAZ49e8aFZmVkZCAvLw9+fn4AgKqqqnaXs1FWVgY/Pz98//33MDEx0XY5FEq7gAqNllGLxKZNmzhBqG3IKyYmBl27doWLiwuA2hdtjho1Cq6urnj33Xdx8uRJpKamIiYmhns+NTUVUqkU48aNAwAYGBi0u5wNtRvDhAkTtF1Km+LcuXMQCATo0KEDTExMIBQKtV0SpQXRvs4yLZgJEyZg3759L23n8XiQyWS4efMm+vXrB0dHR267moqKCqxZswbe3t4YMGAAvL29ERYWBldXV6SkpACoHja7ffs2ysvLERkZCXt7eyxcuBDZ2dm11tMSGwkay8mTJ5GcnIxvv/1W26W0KUJDQzF37lzMnz8ft27dwm+//Ya33npL22VRWhC0vbkV8PDhQzx+/Bjx8fHQ09ODl5cXXF1dYWRkBAAIDg5GYGAgtm7dChsbG1y9ehVbt25FdnY2QkNDAQAPHjxAbGwsgGovqYCAAKxfvx4bN25EcHDwSw4E6n+rVCrweLwaz4nFYpibmzfX4TcJubm5WL58OWJiYmBgYKDtctoMSqUSy5cvx/bt2/Hee+9x21tr+z1FQzRLGAGl0SgUCnL8+HEyduxYoqenR7p06UI+++wzUlBQQBYvXkxcXV1rvH7r1q3E2NiYlJeXE0IICQoKIiYmJiQ+Pp57zY8//kh69epFbty4wW17/vw5iYqKIpcvX661joKCAsIwzN8+31I5e/YsAUD4fD73AEAYhiF8Pp/LQqHUjz/++IMAIEeOHCHOzs6kW7duZPLkySQtLU3bpVFaEHTorJWgo6MDPz8/xMbGoqqqCoGBgdDV1UWHDh3g4uKCZ8+e4eLFi8jPz8eePXsQEBCAkSNHomPHjnj69CkSExPRv3//GgmaXl5eKCws5LrSoqOjMW3aNGzatAlvv/02LCwsEBQUxD0PVM8VmZqatror1vHjxyMtLQ2pqancY/jw4fDz80Nqaio3P0apHw8fPgQAbNy4EevXr0dkZCRMTEwwduxYPH36VMvVUVoM2lY6SuMpLCwkixYtIoaGhmTcuHHEy8uLMAxDTp06RQghJCEhgQwYMIB88MEHhBBCZDIZIYSQuLg4oqenR3Jzc4lEIiE9evQgBw4c4J4/ceIEcXJyIrdv3+b2NXHiRDJr1qxmPkLN4OHhQZYvX67tMlokdU3H/OmnnwgAEhQUxL23qqqKmJmZkYMHD2rxCCgtCTpH0wawtLREUFAQgoKCkJ6eDqlUirS0NEyaNAkAkJiYiNLSUpSUlEClUkFPTw8AsH//fggEAlhZWSEoKAhPnjzB999/j4qKCvj6+sLX1xfHjx9HbGwsBg0ahJKSEsTFxeHYsWPaPFxKM7B69epXLqK1tbXFkydPANSck9HX14etrS1ycnI0WSKlFUGFpo1hZ2cHAHj06BGA6o60nJwc6OnpgWEYhIaGQiAQYPfu3Th37hyOHz8OhmFw+PBhvPnmmxg5ciROnz6Nr776Cj179sSzZ8+4YKpz585BX18fo0eP1trxNSVXrlzRdgktFnNz8zo1fLi4uEBfXx8ZGRnc74VCoUB2djb69Omj6TIprQVt31JRmoecnBwSExNDjI2NibGxMRk2bBjZs2cPIYQQlUpFRowYQTZu3Fjj9UFBQWTKlCkkJiaGEFI9bDZjxgyt1N8WyMvLI35+fsTU1JQYGBgQJycnkpCQoO2yGs3y5cuJlZUVuXDhAklPTyfvvfcesbCwIE+fPtV2aZQWAs2jaYfcu3cPnTp14q44CSHYvHkzfvjhB9y4cQNWVlYvvUcikaBHjx44fPgwfH19m7vkVs+zZ88wdOhQjBs3Dh9++CHMzc2RlZWFvn37om/fvtour1EoFAqsW7cOx44dQ2VlJQQCAQICArg1XxQKFRoKgOpsnMWLF6O8vBwLFizAgAEDIJFI4OTkhG7duuHMmTNYsGABMjIy0KNHD22X2+rw9/fHb7/9hmvXrmm7FAql2aFCQ+EWa+bk5GD37t0IDw+Hvr4+/u///g8ffPAB7Ozs4OPjA6VSifDwcG2X2ypxcHDApEmTkJeXh6tXr8LKygofffQRFi5cqO3SKBSNQ4WGUisFBQWQy+WwtrZGaWkpjI2NcejQIbz//vvaLq1VonYjWLVqFWbNmoWEhAQsX74cBw8exDvvvKPl6igUzUKFhvJKqqqqcOjQIcyePRuWlpbaLqdVoqenh+HDh+PGjRvctmXLliEhIQG///67FiujUDQPdQagvBIDAwMsW7aMikwj6N69+0tuCvb29nStCaVdQIWGQmkG3N3dkZGRUWNbZmYmXWtCaRdQoaFQmoGVK1ciPj4eW7Zswf3793HixAkcOnQIH3/8sbZLo1A0Dp2joVCaicjISKxbtw5ZWVmwsbHBqlWraNcZpV1AhYZCoVAoGoUOnVEoFApFo1ChoVAoFIpGoUJDoVAoFI1ChYZCoVAoGoUKDYVCoVA0ChUaCoVCoWgUKjQUCoVC0ShUaCgUCoWiUajQUCgUCkWjUKGhUCgUikahQkOhUCgUjfL/eIDS1BnuTekAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Create a 3D figure\n",
    "fig = plt.figure()\n",
    "\n",
    "# Add a 3D subplot\n",
    "ax = fig.add_subplot(111, projection='3d')\n",
    "\n",
    "# Create the 3D scatter plot\n",
    "ax.scatter(x_coordinates, y_coordinates, classes, c='r', marker='o')\n",
    "\n",
    "# Set labels for the axes\n",
    "ax.set_xlabel('X Label')\n",
    "ax.set_ylabel('Y Label')\n",
    "ax.set_zlabel('Z Label')\n",
    "\n",
    "# Show the 3D scatter plot\n",
    "plt.show()"
   ]
  }
 ],
 "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": "3.11.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}