aula02/aula02_Exemplos_Adicionais.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Exemplo de deteção de contornos e Hough Circles"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Este é um exemplo de deteção de contornos e de círculos em que os *defaults* falharam e foi preciso fazer vários ajustes.\n",
    "\n",
    "Neste exemplo vamos tentar 2 abordagems:\n",
    "\n",
    "* Melhorando os valores do `inRange` e fazendo o *fine tuning* das imagens subsequentes\n",
    "* Introduzindo operadores morfológicos de dilatação e erosão"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Conteúdo"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "[Imagem de testes e cor do color picker](#img_inicial)\n",
    "\n",
    "[Problemas com a filtragem simples](#problemas)\n",
    "\n",
    "[Análise dos canais H, S e V](#analise_canais)\n",
    "\n",
    "[Novos valores para o inRange](#novos_inrange)\n",
    "\n",
    "[Blur para fechar pontos falhos](#blur)\n",
    "\n",
    "[Deteção de contornos e centro de massa](#contornos)\n",
    "\n",
    "[Centro de massa de um contorno](#centro_massa)\n",
    "\n",
    "[Transformada de Hough Circles](#hough_circles)\n",
    "\n",
    "[Limiarização para melhorar Hough Circles](#limiarizacao)\n",
    "\n",
    "[Valor do acumulador dp de Hough Circles](#acumulador_dp)\n",
    "\n",
    "[Alternativa com operadores morfológicos](#morfologia)\n",
    "\n",
    "[Conclusão](#conclusao)\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Imports"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Este script não deve ser executado diretamente\n"
     ]
    }
   ],
   "source": [
    "import auxiliar as aux\n",
    "import cv2\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import imutils #pip install imutils\n",
    "import os\n",
    "\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Versão da OpenCV"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'4.2.0'"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "cv2.__version__"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Diretório de trabalho:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "/Users/mirwox/Dropbox/Insper/2016/Robotics/src/robot20/aula02\n"
     ]
    }
   ],
   "source": [
    "print(os.getcwd())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<a id=\"img_inicial\"></a>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Imagem de testes"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Vamos praticar alguns conceitos vistos na imagem abaixo"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<img src=stars.png width=50%>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Usando as cores vindas do color picker"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Usando um *color picker* idêntico ao que consta no arquivo [aula2_OpenCV_Filtragem.ipynb](aula2_OpenCV_Filtragem.ipynb) obtivemos:\n",
    "\n",
    "```python\n",
    "\n",
    "    cor_rgb = \"#fdb22b\"\n",
    "```    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "cor_rgb = \"#fdb22b\""
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "cor1, cor2 = aux.ranges(cor_rgb)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 9, 50, 50], dtype=uint8)"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "cor1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 19, 255, 255], dtype=uint8)"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "cor2"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Vamos ler a imagem, converter em HSV e ver como ficou a filtragem"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "img_bgr = cv2.imread(\"stars.png\")\n",
    "img_rgb = cv2.cvtColor(img_bgr, cv2.COLOR_BGR2RGB)\n",
    "img_hsv = cv2.cvtColor(img_bgr, cv2.COLOR_BGR2HSV)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<a id=\"problemas\"></a>\n",
    "    "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Problemas com a filtragem simples"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "mascara = cv2.inRange(img_hsv, cor1, cor2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x129b7ca30>"
      ]
     },
     "execution_count": 10,
     "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": [
    "plt.imshow(mascara, cmap=\"Greys_r\", vmin=0, vmax=255)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "A imagem acima nos mostra que a filtragem **não ficou muito boa**. Isso é um sinal de que precisamos tentar melhorar o resultado do `inRange`. Ou seja, precisamos mexer nos valores HSV das variáveis `cor1` e `cor2` que vieram do `aux.ranges` .\n",
    "\n",
    "Podemos tentar usar tentativa e erro, ou podemos tentar fazer um *histograma* para entender onde nossa máscara não ficou boa."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Na aula 1 vimos como fazer um histograma. As funções abaixo foram baseadas no exemplo de histograma dado naquela aula"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<a id=\"analise_canais\"></a>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Análise dos canais"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Vamos usar seguidamente as funções a seguir para mostrar os canais H, S e V separadamente e também as imagens com cada canal em isolamento.\n",
    "\n",
    "Estas funções são baseadas no material da aula 1."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "def hsv_hists(img, plt):\n",
    "    \"\"\"\n",
    "        Plota o histograma de cada um dos canais HSV\n",
    "        img - imagem HSV\n",
    "        plt - objeto matplotlib\n",
    "    \"\"\"\n",
    "    plt.figure(figsize=(20,10)); \n",
    "    img_h = img[:,:,0]\n",
    "    img_s = img[:,:,1]\n",
    "    img_v = img[:,:,2]\n",
    "    histo_plot(img_h, \"r\",\"H\", plt);\n",
    "    histo_plot(img_s, \"g\",\"S\", plt);\n",
    "    histo_plot(img_v, \"b\",\"V\", plt);\n",
    "\n",
    "def make_hist(img_255, c, label, plt):\n",
    "    \"\"\" img_255 - uma imagem com 3 canais de 0 até 255\n",
    "        c a cor do plot\n",
    "        label - o label do gráfico\n",
    "        plt - matplotlib.pyplot\n",
    "    \"\"\"\n",
    "    hist,bins = np.histogram(img_255.flatten(),256,[0,256])\n",
    "    cdf = hist.cumsum()\n",
    "    cdf_normalized = cdf * hist.max()/ cdf.max()\n",
    "\n",
    "    # plt.plot(cdf_normalized, color = c)\n",
    "    plt.hist(img_255.flatten(),256,[0,256], color = c)\n",
    "    plt.xlim([0,256])\n",
    "    plt.legend(label, loc = 'upper left')\n",
    "    plt.plot()\n",
    "\n",
    "def histo_plot(img, cor, label, plt):\n",
    "    \"\"\"\n",
    "        img - imagem\n",
    "        cor - cor\n",
    "        plt - matplotlib.pyplot object\n",
    "\n",
    "    \"\"\"\n",
    "    plt.figure(figsize=(10,5))\n",
    "    make_hist(img, cor, label, plt)\n",
    "    plt.show()\n",
    "    plt.figure(figsize=(10,5))\n",
    "    plt.imshow(img, cmap=\"Greys_r\")#, vmin=0, vmax=255)    \n",
    "    plt.title(label)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Vamos agora usar as funções acima para fazer um histograma e ver a imagem em cada um dos canais"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 1440x720 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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DGo2GDz/8sLtDEoSvJdYzF4RvsGXLlm9/kiD0cOICqCAIQi8gkrkgCEIvIJK5IAhCLyCSuSAIPd4vfvELJkyY0N1h9GgimQuC0OO9//77hIWFMXr01w7kEBDJXBCEHk6SJKZOncrbb79NWVlZd4fTY4lkLghCjybLMjY2NoSEhKBWq4mIiOjukHokMc5cEIQezcHBgWvXrqHX6xk6dCidnWKLhK8jeuaCIPRoTk5OhIWFsWDBAjo7O+no6ODnP/95d4fV44hkLghCjzVv3jwALl68SGlpKdnZ2ZjNZkpKSro5sp5HJHNBEHqskSNHEhgYSHl5OZWVlcTExBAVFYW1tTVarba7w+tRRM1cEIQeycHBAZPJhJeXF7GxsXh6elJdXU1zczMBAQGo1eruDrFHET1zQRB6JHt7ewCcnZ0pKCgAIDU1FaVSydatW1GpVDz66KPdGWKPIpK5IAg9zrRp05g8eTLLli0jLy8PX19f3nrrLQBeffVVEhMTmThxIvX19d0cac8hyiyCIPQ4n332GSUlJQwYMAB7e3smTpyIl5cXp0+fRq1W88orrxAUFMTEiRN59NFHxVZ+iJ65IAi3wXPPPYdGo8FgMDBjxoxvfK6np+c3Pr5z50769+/PAw88AIBGoyEvL4/Tp0/j4uJCW1sbALa2trz99tvs3bv3G99v69at3xq/JEn4+vp+6/N6MpHMBUH40Z599lkaGhoYMGAA1dXVaLVaQkNDMRgMSJLElClTePTRRxk5ciQVFRXMmzcPZ2dnDAbDV97nhRdeYObMmQQEBLBr1y5ycnLQ6/UEBweTk5NDeXk5x44dw2g0AhAVFcX06dNxdnb+j5gef/xxFAoFCxYsYNq0aTz33HN4enoiSRIGgwFvb2+efPJJJEkiISEBPz+/n+Rc3Sli2zhBEG6bsWPHEhsby+uvv05FRYWl3dXVFbVaTXl5OTY2NixcuJB+/fqRmppKcHAwO3bswN7ensbGRpYtW8ZHH31EfHw8hYWF7NmzB2tra4KCgsjLyyMmJoba2lo6OjqwtbUlKiqK9957D7VazWeffUZSUhIbN24EYMyYMdja2rJt2zYAHB0duXHjBrGxsZjNZkwmE2azmaamJtrb23v82i/ftG2c6JkLgnDbfPLJJ/zud7+juroanU5HTEwM/v7+1NTUEBMTw6JFi2htbaWkpIT29nbKy8vp168fnp6eNDY2smjRIs6cOYNGoyEnJ8eSyCdOnEhmZiYxMTHY2Njg6OiIs7Mzfn5+XLhwAWtrawYNGoTJZGLlypWWnnpaWhoRERGEh4cDMHjwYFxcXFAoFNjZ2dHU1EReXh4lJSU9PpF/m29N5pIkDZQkKUuSpBJJkookSVp8q10jSVKmJEn/uvXd8Uuv+Z0kSWWSJJ2RJGnSnTwAQRB6nqlTpxITE0NGRgZKpZLk5GRqa2vp378/QUFBaDQay0iUXbt2YWX1f6nIbDZz+PBhzGYz8fHxjB8/HqPRSEhICLm5uZw5c4ZPP/2UU6dOUV9fz6lTp8jMzOStt97io48+wt/fHxcXFyoqKjAajaxYsQJnZ2f0ej11dXUEBwezdetW6uvryc/PpydUJ26Hby2zSJLkBrjJsvyZJEn9gHwgFvgfoEGW5T9KkvRbwFGW5WWSJPkDKUAQ4A58BAyRZfm/ro4jyiyC0Pv07dsXV1dXHBwccHNzY/z48Sxbtoy5c+dSW1uL2WzGw8OD/fv3YzAYiIuLY9OmTZaZnWVlZdjZ2VFcXMyyZcvIysoiLy8PACsrK+Li4nBzc8PR0ZHVq1fT2tpKbGws6enpAAQFBQHwr3/9C5PJhJ2dHTY2NtjZ2TFq1Ciampr4+OOPu+fk/EA/qswiy3K1LMuf3bp9DSgBtMDDwBfbmm/hZoLnVvt2WZbbZFkuB8q4mdgFQbiHXL9+nbNnz5Kfn4+zszNWVlbY2tpy+PBhrK2tyc3NtZRiHn74YT788EOmTZtGZmYmAL6+viiVSiIjI0lNTaWmpoakpCTmzJnDggULSEtL44033uCPf/wjf/7zny2fGx8fj5WVFY888gju7u40Njbi4eGBwWBg5syZ1NXVYTab77pE/m2+V81ckqRBQADwCTBAluVquJnwAZdbT9MCF7/0sspbbYIg3GNkWUav15Odnc17772HVqtlzJgx+Pj4MHv2bGpra2ltbWXZsmV0dHRQXl5OQkICjo6OeHh4YDQaiYqKora2lhs3bjBs2DCsrKxoamrC0dGRcePG8dhjj3H8+HGef/55qqqqSEtLIy4ujsLCQtLT0wkPD8fR0RGDwYBer6e9vf1rR7/c7b7zpCFJkvoCacAvZVlukiTpvz71a9r+o5YjSVISkASg0+m+axiCINxlqqurmTJlCpcuXWLSpEls27aN5uZmHnvsMdatWwfcHGUSFxfHU089hY+PD48++ij9+/dn6dKllsdnzJjB7t270Wg0fPDBB+j1evLy8hg2bBjNzc386U9/4mc/+xmRkZHk5eVx8OBB4uPjOXnyJH5+fhQVFfHee+8BsGPHjm47H3fKd+qZS5Kk5GYi3ybL8q5bzZdv1dO/qKvX3mqvBAZ+6eUeQNW/v6csy+tlWR4ty/Lo3vhbUhCEm65evUpLSwuDBw/m+vXrODk50adPH0wmE2vXriUwMJAJEyZw7NgxZs2aRVBQEAcOHGDp0qXEx8fj6upKaGgotra2AAwYMACDwUB+fj5Dhw7l9ddfx83NDXt7e9auXcvIkSMxGAxERESgUCg4e/YsGRkZ1NXVUV9f32sueP677zKaRQI2ACWyLK/50kN7gAW3bi8A3v1S+yOSJKkkSfICBgN5ty9kQRDuNrt37+by5cuUlpZSUVGByWTi8OHDJCcn8/jjj6NWq0lJSaGyspKdO3cyefJk5s6dywcffMDo0aPJyMjgn//8J52dnRw8eJCBAwdiNBpxd3fHy8uLc+fOsWrVKhwdHSkuLsbFxQVvb290Oh3u7u7Exsai0Wh6bSKH7zaaJQw4DBQCXbeal3Ozbp4K6IAKYKYsyw23XvP/AQuBDm6WZfZ902eI0SyCcG/w9PQkKiqKqqoqrly5QmdnJ/n5+URHR5Obm8vixYu5cOECmzZtwmg04uvrS1paGqtXr6a4uJgbN26Qm5vL2bNngZsl2vvvv5+8vDxUKhXu7u64u7uTmZmJo6MjarXaMuFo9erV3Xz0P943jWYRM0AFQfhJzZ49m/z8fH72s5/x4osv0t7ejpeXFw0NDSiVSvr168egQYMwm80UFRVhY2PD6NGjsba2tgxpTEpKIj8/n7CwMKqqqnjhhReIjIxErVaTkZFBcnIyb731FsnJyWzevJm6urruPuzbQswAFQShx1AoFHh7e/OPf/wDHx8fS7vJZMLT0xM7OzsKCwsxGAw89NBDTJgwgczMTHx8fOjo6KC0tJT169fT2tpKSkoKAwYMQKfT8Zvf/Ib9+/cTGRmJk5MTQ4cOpbGxEWvre2NxWJHMBUH4yTz++OO4ubkxatQozp49S3h4OFZWVowaNQofHx8UCgVOTk4AuLi4kJeXh42NDZGRkVy5coWCggIiIyNpampi+PDhqFQq3n//feLi4njhhRdob29n4MCBrF+/nrq6OrZv386VK1cwGAxMmzatm4/+zhJlFkEQfjLe3t4YjUbMZrNlrRUfHx/279+Pl5cX48ePZ8eOHVy+fBmtVsvDDz/MihUrcHR0xMHBAYDOzk5u3LiBjY0NSqWSSZMmcfz4ca5cucLIkSMpKyvD2tqa/Px8Vq5cSXFxMY2NjdTW1nLy5MluPgM/jiizCILQrfr27WtJ5CaTiXnz5jF37lyqq6sZNWoULi4uxMXFsXz5cqytrXniiSc4ceIEK1asACA4OJgFCxbg5ubGjBkz0Gq13LhxgyFDhrBu3TpqampoaWmhubmZgoIChgwZQmJiIrt370an06FSqRg6dKjlF0JvJHrm95Ann3ySv/3tb90dhnAPGjt2LNbW1uTk5LB48WKampo4f/48n332GTExMZhMJjIyMjAajdjb23Pp0iVaWloYOnQozs7Ols2b9+/fT1VVFUqlkjFjxlBdXY2vry9FRUXU1NQwe/Zsyx6hcHPpXa1Wi9lsRqVSUVZWxv/+7//etSNbRM9cAGDjxo34+vri6+vLz3/+8+4OR7hH9O3bl0ceeQSz2UxsbCxNTU2o1Wra2tp48cUX2bZtGxkZGaxcuRJfX1/q6+uJjo7GwcGBtrY2/P39MZvNbNq0iaCgICIjI3nooYfQaDRUVlaSmZnJxIkT6erqIiUlhQ8//BC4OWyxtraWU6dOMWHCBOrq6liyZAkKhYK4uLhuPiu3371xmVcAwMHBgfLycrq6usQSCsJP4vHHHyc5OZkXXngBhULBAw88QElJiWUlxbVr16LT6RgzZgwXLlygpKSE4uJioqKiCAsLY9OmTTQ0NNDc3ExUVBT+/v689NJLlvfX6/VMmDCBdevWkZyczPbt26mpqQGgoqKCoKAgzpw5Q2pqKvPnz6e4uJjdu3ezaNGi7jold4zomd9Drl69ypIlS0hMTCQrKwtvb+/uDknoxby9vfnkk0/IyspCp9NRX1/Pzp07yc7Opr6+nmPHjln23QwMDCQ1NZWEhAQA+vfvz7Zt2wgICKC9vZ3Jkydz8eJF9u/fj1KpJD4+nkWLFjFlyhQ6OjqIiYnh4MGDTJ8+naSkJJycnEhISKCyspK2tjaCg4PZuXMntra2uLq60tXVxTesL3VXEjXze8jSpUvJzs7G1taW7OxsAFavXs327dsR51+43SRJQqfTcePGDXQ6HXq9HltbW/r27cvWrVuZO3cu27Zto76+HicnJ4YMGUJBQQFwc4OKp59+moqKCiorK8nJycHLy4v777+fmpoaTpw4QW1tLbNnzyY3N5fy8nLLdnJhYWFcv36dI0eOEBYWxq5du7CxscHa2tqylV1ISIjlL4Rz585152n6XkTNXADg73//O01NTUycOJFFixaRmJhIYWEhly5d4s033+zu8IRexNvbG7VazZ/+9Cfa2to4deoUb7/9No6OjphMJurr63n11VcJCwtDr9fTp08fPDw80Ov1luSfmpqKh4cHOTk5AMTFxbF//34UCgWjR48mIiKClJQUGhoaADh69Ch5eXnY2tri5OTEokWLaG9vp6WlBWdnZ8aPH4+joyPx8fHk5OTQ2NiIs7MzCxcu7M5TdduIZH4PCQ8Pp7S0lBdeeIGUlBTc3d05evQoOp2OI0eO8Mtf/rJH/+k5b9687g5B+A5CQ0Pp378/kZGRvPfee5hMJkaNGkW/fv2orq5m165dxMbG8vTTT2M2mxk48OYiq5WVleTn5xMQEEBFRQWjRo3iL3/5C08//TQ+Pj6cO3eOmJgY9u/fz8WLFykpKcHLywuTyYRSqeT69evExMRw5swZVq9eza9+9Ss+++wzyxrmTk5O/OUvf2Ho0KHAzd45wKlTp/D09Oy283W7iDLLPSIuLo777ruPK1eu0NbWxr59+3B3dycsLIx+/fqxa9cuy4a6169fZ8uWLd/+pndQ3759uX79OpIk8fTTT9Pc3MyhQ4coKirq1riEb7Zw4ULS09OZM2cOffr0Yc2aNcyZMwcbGxvee+89hg8fjqurKykpKYSHh//HAlgLFy6ks7MTNzc3Dh8+TE5ODmq1Gk9PTxwcHPDz86OkpAQXFxeysrKYMmUK4eHhVFVV8fzzz38lltmzZzNs2DBWrFhBQkIC+/fvx9ramubmZl544QV27dpFYWEharWa++67j08++eSnPl3f2zeVWZBludu/AgMDZeHOA+S5c+fKXl5eckJCguzv7y+7u7vLSqVSjo2NlXU6nRwZGSkDslKp7NZYw8PDZXd3dzkxMVEGZEdHx26NR/h2gKxWq+Xo6Gg5Pj5etrKyku3t7b/1dVZWVl+57+7uLgNySEiI/Mwzz8hOTk7y+vXrZUBOSkqS1Wq17OXlJfv7+8tJSUmyUqmUQ0JCvlesTk5Olp+tqKgoOSoq6q74GQOOy/8lj4oyyz3E3t4eNzc3oqOj2bRpE9evXyc2Npb77ruP9PR0lEolarWaVatWMXXqVJ588klmzJjxk416kSSJpUuX4jKCUDEAACAASURBVODgYFkN74vp188999xPEoPww3h7eyPLMtevX2fv3r2cPHmSzs5Orl69+q2v7ez86l7vVVVVzJkzh/Pnz3P58mWSk5NZtmwZkZGRvPPOO4SHh6NSqTAajRw5coQxY8Zw9OjR7xVvXV0db731FrIs8+GHH/Lhhx9aau93K5HM7yFarZacnBy2bNmC0Wikuroaf39/QkNDgZs1dR8fH5YtW0ZtbS3r1q2jqKiIa9eu3bGYvlje9MEHHyQxMZGKigq0Wi0bN25k7dq1dHR0sGTJEnbv3n3HYhB+vH8fEVJWVvaD30uWZVpaWvif//kffHx8LDsJJScn4+DgwJAhQ5gyZQpXr14lKirqnlkV8duImvk9ZO/evTz22GNUVVWh1+uZMmUK27dvp66uDmdnZ4YOHUpWVhZeXl5UV1djMBgYOXKkpXfcv39/Dh48+KPj0Gq1TJo0iTNnzvD555/Tr18/1q5dy9SpU4mMjATg7Nmz1NbW4ubmRktLC9XV1T/6c4W7y4MPPkhmZiYhISGYzWbGjx/Pzp070Wg0eHt7k5GRAdzcH/Ru71V/V2JoogBAfn4+RqOR5cuX097ezoYNG/D19aVPnz6MGzeOESNGABAdHY3BYGDSpEm0trZy6dIlGhoauHz58g8eUSJJEhEREfj6+hIdHU1nZyfnzp1jyZIluLm5MXXqVBITExk3bhze3t5MnjwZrVZLdXU1AwYMuJ2nQbhLfHGxW61W89RTT6FQKIiOjkapVJKRkcH777+PLMv3TCL/NiKZ30NWrFiBwWDAyckJb29vnJyccHV1JSYmhoaGBt544w2SkpJYt24dLi4unDp1ioyMDLRaLdeuXeOJJ55g7969SJJkWc3umxgMBuLi4njllVewtbVl8ODBVFRUsGHDBvbu3UtNTQ1nz55l2LBhhIeH09zcjI2NDUePHmX9+vWYTCbmz59/1y9bKvwwly5dwsfHB5VKxWuvvcbu3bu57777LLsGJSYmdnOEPYtI5vcQvV5PY2Mjb731FmVlZdTU1JCamorJZKKwsJDW1lYyMjJ47bXXOHHiBOPHj0epVKLX6/H09OTZZ59Fp9MRHR3NH//4Rx5//PGv/Rxvb28kSeLq1aukp6ezdOlSWltbuXr1KnPmzMHKygqtVotarWbTpk1kZGSQnZ2NlZUVr7/+Oi4uLtjb2+Pp6SkS+T1MkiTOnj1LU1MTxcXFVFRU4OzsTEtLC46OjqL09m9EMr+HJCYmUlJSwtWrVxk0aBArV64Ebo4mMJlMAIwaNcoy3vbdd99Fq9USGBiI2Wymq6uLtrY2/Pz88PDw4Nq1a5aLp6+88gqSJNG3b18aGhqIiYmhpqYGnU7HokWLWLJkCWq1murqahYsWIBGo8FsNhMREUFERAQ+Pj6cPn0aBwcHsrOzMRgMdHR0WKZfC/eeL1/PGzFiBIGBgXzwwQf4+flZfl6F/yMugN5DnJ2d6ezspKurC6VSSX19PUuWLMHW1pYdO3ZYSiKrV69m9+7dXL16lQsXLgAQGxvL4cOHUSgUX9npZeHChaxcuZINGzawZMkSrl27xgMPPEBoaCjFxcWkpqaiVCrp7OxEo9Ewffp0rl27xtmzZxk8eDClpaWo1Wq0Wi0pKSnY29sTGRlpmdjk7+8vJgrdwwwGA8XFxcDNJW1dXV05deoULS0t3RxZ9/imC6BiTM89xNramuvXr6PRaCy188LCQjo6OtDpdKxZswa4uSBXdHQ0Go2G+++/n9TUVNrb21EqlXR1dWEymdBoNJSXl9PS0kJ8fDxbtmyhubmZfv36ERwczD/+8Q+GDx+Ol5cXzs7O3HfffYwdO5aVK1eiVqtJTk5m1apV6HQ64uPjee2115g/f77ll0Xfvn2JjIy8LaNnhLtXUVERM2bMIC0tjaFDh+Lk5IS9vX13h9UjiTLLPUKr1aLT6YiLi+PRRx+lf//+fP7554wZMwZ3d3dcXV3x9PQkOTkZuDlxw9nZmY0bNzJkyBDOnz9PfX09AwcOxN7envLycqKiolAoFHz88cdkZ2fz2GOPYW9vz+rVqzl79ixms9kycqW8vJzOzk58fHzo7OwkNTWVuXPnUlFRwdtvv82LL77IoUOH6OzsxGw2c+jQIbKysrr5rAk9QVpaGgAdHR1f2XxC+CqRzO8REydOZObMmWRmZnLlyhXS0tJoaGhg48aNbNu2jT59+lBeXs7atWstPfZPPvmE8ePHo9FoyMvLY+LEiZSVlTFjxgysrKy4dOkS5eXlPPXUU1hZWbFx40ZMJpNlRp/JZOLgwYNERETg5eVFS0sL0dHRtLa2Ul5ezrZt25g1axa1tbV89NFHKBQKPvzwQ9LS0tBqtXh5eXXzWRN6AlmWWbZsGceOHSM2NpYpU6Z0d0g9kqiZ30MUCgXBwcGWUQBubm6oVCqOHDlCe3s7arWaqVOn8v777zN58mSqq6vp6OggLy8PnU6Hj48P06ZNo6ysjIMHDxIaGsqQIUM4efIkXl5evPTSS5YZebW1tahUKs6fP8+oUaM4evQo06ZNo7q6msGDB3P58mVOnjxJYGAgSqWS/Px8pk+fTmVlJXV1dRQVFVnq9YIA8Le//Y1Nmzbd02vvf1PNXCTze8gX+ytOnDiR8+fPU1dXR0dHB11dXdTU1ODu7k5QUBAXL15ErVZjNptxc3PD2dmZmpoaSktLCQ4OJiUlhaeffporV67Qv39/Tp06ZSmJODo60tXVhdFoJDs7GycnJ+rr6/H396e4uJikpCTWr19vaZ8zZw4nTpxAo9Fgb2+PSqWiqqqKoqIizGYzPeHnUxB6CjEDVABAqVRiMBhQKBRMnDiR0NBQkpKSqKmpwWg00tLSQnp6Ovn5+cDNcelBQUFkZ2cTHR3NwIEDKS4uxt7enldeeYVdu3ZRX1+P2Wy2bOXV2NhIUFAQKpXKsnTpnDlzmDBhAvHx8bi7uxMdHY2NjQ3u7u5YWVnx8MMPExISQmtrK+np6QwfPhyz2UxSUlI3nzFBuHt862gWSZJsgWxAdev5O2VZflaSJA2wAxgEnAdmybLceOs1vwMSgU7gKVmW99+R6IXvxcrKiurqanJycjAajRQUFFjq0tbW1jQ2NgIQFRVFQ0MD+fn57N27l2nTpvHSSy8xb948CgoKKCsrw9XVlZaWFrZt20ZCQgJXrlyhoaGB5cuXs2vXLgwGAwsWLCAlJYVTp07h4eFBW1sbzc3NuLu7o1KpSE9PJycnh2vXrjFhwgTL6owKhUL0yAXhe/ouPfM2YIIsy0ZgJDBZkqRg4LfAAVmWBwMHbt1HkiR/4BHAAEwG1kmSpLgTwQvfz7/+9S/GjBlDQkKCZa/FCxcu4OPjw9ixY/H397ck8mnTplFaWoqfnx+2trZMnTqVzZs3c/jwYaKioiwrKSqVSnbt2sWCBQsICAhg8+bNaDQabGxsKC8vR6fTWW5PmjQJlUrFkCFDSE9PZ/78+bS0tNDS0kJzczMbNmzA3d2dPXv2dOdpEoS70rcm81trol+/dVd560sGHga+2I5mCxB76/bDwHZZlttkWS4HyoCg2xq18INMnDiRPXv2cOPGDaKiooCbW7Hdd999bNmyhatXr2IymRg0aJBl+Jdareb06dO0trYyZMgQXFxcqK2t5ZFHHsHKyooRI0ag0WgIDQ3l448/Bm7W5r28vCgqKmLs2LG4urqSlJTEpk2byMvLY9myZcDNIWejR48mPj6etrY2oqOjKS8vx8pKVP8E4fv6Tv9rJElSSJJ0EqgFMmVZ/gQYIMtyNcCt7y63nq4FLn7p5ZW32v79PZMkSTouSdLxLxbOEe6snJwcy7rghw8ftrTr9XoeeeQR3NzcOHXqFGlpaZaJGW1tbdjb22Nvb4+LiwsLFiwgNzeXa9eu4ebmxtixYxkzZgzTp09HpVJRU1PD1q1b2bx5M7W1tZSWlvKzn/0MgJiYGKqqqpg1axZwcwf2ixcvcvz4cdRqNbW1tdx///04Ozv/xGdGEO5+32s0iyRJDsBu4BfAEVmWHb70WKMsy46SJP0NOCbL8tu32jcAe2VZTvtv7ytGs/w07OzsaG1tJTk5merqat5//31aW1vR6XSMGjWKgoICxowZQ2pqqmXmZmRkJFqtlueff576+nqUSiUA7e3tAHh5eaHX69m3b59l16KSkhLgZq/+4sWLaDQaioqKMJlM+Pv7c/36dRYsWMCLL77IL37xC3bs2MHw4cMZNWoU69evF0uaCsJ/cdtGs8iyfBU4xM1a+GVJktxufYAbN3vtcLMnPvBLL/MAqr5nzMJtFBoaiiRJzJ07F51Ox+HDh/n444+Ji4sDbpZazGazpRbu7+8P3Nx5aNWqVZb6upeXF+3t7YwbN47ly5ejVqsxGo10dHQQHh7Onj17OHfuHJMnT6ahoYHjx4/j4uJCSEgI48ePZ/78+fj5+VFRUcHf//53urq6ePXVV4mMjMTR0ZGioiKxrKkg/EDfmswlSXK+1SNHkiQ7YCJQCuwBFtx62gLg3Vu39wCPSJKkkiTJCxgM5N3uwIXvzmw2ExkZSXt7OxUVFdTV1WEymcjNzSU+Pp6XXnqJwYMHs2PHDvbt28elS5dQqVTY2NgQEhLCu+++i8lkIjo62jJ5qKysjGXLlmE2m1Gr1dTX1/P73/+erKwsWltbKS0tRafTMW7cODZs2EBZWRmHDh2yTM0eMmQI8fHxuLq6kpuby+nTp+nTp89XdmoXBOG7+y4LbbkBW26NSLECUmVZzpAk6RiQKklSIlABzASQZblIkqRUoBjoAJ6UZbnzv7y3cIeEhoaiVqtxdHS09KxnzZqFWq3G2dmZ5ORkBgwYQGJiIrGxsaxbt46goCAGDx6Mk5MTlZWVHDp0CI1GY5ngU19fT58+fWhqamL37t2cP3+evLw8wsPD8fPzs6xuWFZWhr+/P2fOnOHSpUtERERgY2ODm5sbr776KsnJyej1epKTk3nppZfo6OhgxYoV+Pn5decpE4S72ncZzXJKluUAWZZHyLI8TJbl52+1X5Fl+QFZlgff+t7wpde8KMuyjyzLQ2VZ3ncnD0D4em1tbWRmZjJ79mzc3d2Jj4+nX79+DBw4kIKCAurr63njjTeIjY3lgw8+ICYmxjJSZc+ePUyaNImcnJyv7LOYn5/P559/Tl1dHV1dXZbVDxUKBWlpaVy8eJHAwEAiIyNJSEigtbXVMhEJYOvWrZZx7V/suJ6fn09TUxN6vd5S9hEE4fsTY8B6IUmSMJvNBAUFUVhYSFVVFWlpaRQWFhIUFISPjw9HjhzB1taW2tpali9fjtls5vDhwxw4cAC9Xs/vf/97jEYjAIGBgfj5+eHg4MCkSZPIzs4mNjYWZ2dnPvroI+Li4tDr9WRnZ6NSqfjDH/7A66+/DtwcpmhlZYWTkxOJiYlfWW+lvLycixcvWnYZWr58ebecL0HoDUQy72W+uNA5ffp0Zs6cyYULF3B1dSUwMJCRI0dy6NAhgoODGTlyJGazmYKCAl5//XXL7Msves4VFRVoNBoSEhIsW8hVV1czdepUoqOjSU9PJzU1lXHjxnH27FkAIiMjyc3NxcPDg9DQUBISEqioqGDRokXs27ePiooKRo8ezRtvvIG/vz+nT58mJiYGa2trBgwYIHYVEoQfQSTzXmL27NmMHTsWo9FIQ0MDf//738nNzeXUqVPU1NTw1FNP0b9/fwC6urpYv349bm5uLF68mKqqKq5cuYKbmxtdXV04Ozvz9NNPExAQgKOjI9ev35wzFhERwZ/+9CeKiopwdHREp9Px9ttvc+LECYKCgnB2diYgIAB7e3tGjhyJi4sLM2fO5NixY5SXl5Obm4tarSYsLIyGhgYuXLjAihUreOCBB6ioqMDf3x+tVktERER3nkpBuCuJZH6XmzJlCpIk0djYSF5eHmfOnOHChQuMHDmS8+fPk5+fT0hICLt372bz5s00NzfT2dlJbGwsR48etSxbazKZuHjxImPGjOHw4cOUl5dTWVnJgQMHWLhwIatWreLGjRu4ublRWVnJnDlzqKioYOLEiTg7OzN8+HAOHjzIlClT+Mtf/sLy5cstG000NDTg5eWFUqkkKysLd3d3BgwYYCnjHDlyhPLycoqLi1m8eDFa7X/MMRME4VuIZH6XM5lM+Pj4MHPmTIKCgnBxcWHatGmMGDGC/Px8AgMDuXz5MhcvXmT58uXU19dTV1dHeno6Go0GgMzMTNzd3WlpaeHs2bPo9Xo8PT2pq6ujoKCAtWvX4u7uTnNzM2PGjAGwlEQ+//xz2traeO+99/D09GTPnj1ERkbS2tpKTk4O27Zto7OzE4PBQGhoKK6urpjNZuzt7cnJycHKygqNRkNXVxdeXl5cvHiRvXv3dtv5FIS7lUjmdymNRoOvry8hISHodDp+9atf4eJyc0WFVatWsXnzZvR6PZMmTcJsNhMREUFnZydqtRpXV1diY2OJiYnB1dUVgNLSUuzt7QkLCyM7O5vLly9ja2uLj48P169fp6qqivLycqqrq/Hw8CAjIwNXV1d0Oh21tbVkZ2eTn5/PpUuXsLOzY86cOYSEhDB//nxcXV1pa2tj9uzZ1NTU0NDQQHZ2NomJiQQHB/Pxxx8THx/PggUL2LZtG0FBQUiS1J2nVxDuOiKZ34UMBgONjY2Eh4fT2NjIyZMnCQoK4ujRo9y4cQN3d3cGDRqERqNh8+bNeHt7c+DAAerr65k8eTJ5eXmkp6eTmZnJtWvXSE5OpqioiIiICHbv3o3ZbCY9PZ3o6Gi8vb0te3dqNBrCw8O5ceMGADU1Nbi6ujJo0CDg5oxRJycntFottra2FBQU0NDQQF1dHSqVii1bbq7L9sX66OfOncPFxYWwsDAGDBjA6tWrsbOz48SJE8THx/OLX/yiu06xINx1vsukIaGH0Gq1GAwGBgwYwOTJky2LZplMJkpKShg8eDDu7u6o1WpMJhMAv/71r3nkkUeYOHEieXl5nD9/nvLychwdHRkyZAhtbW04OjoyatQocnNzsbGxsax1XlFRwZIlS1CpVGRlZVFTU0N1dTUajYbg4GAKCgq4du0aAQEBBAYGotFoGDZsGG1tbWzYsAEnJycmTJiAwWBAo9GwdetW4OZQx/Hjx5OVlcXHH39sWUddp9PR3Nxs2Zno+PHjvPzyy/zmN7/pnhMuCHcR0TO/S0ybNo1BgwaRmZnJvHnzWLNmDVZWVsTFxREQEMC8efMASE9P58SJE4SEhNDW1sbOnTtRKBR0dHQwePBgnJ2dcXR0xM7OjlGjRnH27FmcnZ2prKwkICAAHx8fGhsbCQkJISsri8TERNra2rhx4wb29vYsWLCA0tJSMjMzKS8vx97eHjs7OyIjI1Gr1aSmpvLuu++i0+kYPnw4bm5u9OvXj6amJhYvXsycOXNwcXFh+fLllJWVMXLkSNavXw/c/IvD09PTslxAbm4uhw4d6sazLtwOM2bMICIighdeeIHRo0cze/ZsJEnCz8+PpUuX4uzsjKenJ35+figUCiRJYvTo0ZaNmw0GQzcfwd1B9MzvAp6ensyYMYPc3FwWL17Ma6+9hk6nw9vbmw8++IApU6aQk5ODXq/H1tbWsjNQV1cXGo2G3/72t5w7d449e/ZYxpg7OjqyYsUKEhISsLKywtnZmdbWVmxtbeno6GDo0KHs27cPtVrN8ePHaW9vZ/HixRw7dgxPT0+cnZ2pqKjAZDLx5ptvcu3aNaytrQkICEClUlFdXU1WVhaurq44OjpSXFzMxYsXUSgUzJw5k08//ZTy8nLa2tp44403CAoKYsSIEXz22Wfk5+fz8ssvM2bMGJYsWYIkSdja2tLS0tLd/xTC96DVamloaKC1tRWAwsJCRo8ejZOTE0qlkgkTJvDqq6+yaNEiPDw8+POf/2zZtSo9PZ2kpCT8/PwoLS1Fo9HQr18/scn3NxA98x5u9uzZVFdXs2bNGmJiYti2bZtlKGH//v1Zvnw5mzdvJicnh61btzJ16lS2b9+OQqFg6NChGAwGNm7ciIeHBw4ODnh4eHDy5EkqKystPemsrCzMZjPnz5+ntbUVk8nE2bNneeqpp6ioqOD69evY29vz//7f/2PPnj1UVlZy5swZZs+eTUZGBi0tLdjY2KDRaJg+fTojRoygoaGB+Ph4iouLOX36NHFxcWg0GkaOHElubi7W1jf7EQ0NDZSWlhIZGUlqaiqOjo7Mnz+f7OxsXnnlFcvwxd/+9rfd+c8gfA9+fn5IkkT//v1xcXEhKSmJuXPnAjB8+HD2799Pe3s7hw4dwsfHh2PHjrFs2TJqamqAm0NV/f39GTBgAKWlpSxZssSy2qaYg/DfiWTeQ33xJ6eXlxeDBw9m+fLlvP7660yfPp2CggIiIyP59NNP2b17N05OTnh5eeHj48O7776LwWAgODiYmpoampqaLMMI29raCAgIwNrampiYGOzs7HBxcaGuro7m5mZ8fX0xGAwEBQWh0WjIy8tj8eLF9O3bF5PJRN++fYmIiMDDw8OyecWiRYtYsGABYWFhPPPMMygUCvbv30///v05efKkZZGvgwcPkpmZiaOjI2q1Gm9vb4xGI25ubgwcOJBVq1Zx9epVUlNTaWhooL6+npiYGIqLiwH485//jJ2dXff8YwjfiaenJ08++SQqlYpFixYRHh5ObW0tmZmZeHp6MnLkSNasWcOQIUMIDw+nq6uL+vp6nnzySTw8PHB1dWXDhg20t7dz7tw50tLSCA8PR61WM2rUKLy8vLh06RIPPvggffv27e7D7XG+1+YUd4rYnOI/2dnZYTAYUCgU2NraEhQURN++fXnxxRdpb2/nmWee4cqVK3zyySdcuHCBCRMmkJqaalnoau3atahUKtRqNVVVVZaVD+HmBcgRI0bQ2trK2bNnOXfuHG+88QYLFy4kKCgIa2trPvroI8tY9SVLlrB9+3ZaWlqYPn0627dvx9XVlbNnzzJr1izq6uqwtramo6ODY8eOoVAocHV1RaVSERAQwMiRI1m6dCnR0dH06dPHsqn0nDlz0Gq17N69m8TEREpLS79ykdTFxYWCggLs7OxQqVSMGzeOiooKy5Z2Qs/xhz/8gYyMDEpKSmhsbMTd3R1ra2vGjBmD0Wi0bFji5ubGjRs3aGlpQaVScfDgQdzc3MjKymLlypWcPHkSGxsb/n/2zj0uyjrt/+9hgAEGgRk5DXKUo6BOMEiIhmGSJzI8ZBEu/sqy1WzZNdtad7e1erbdnsrKzC3T3Eiy3MhDmBgKykmXRARkADkKcpTTICMMMMzvD/R+2ufZQ7sdKL3fr1evmbm75/Z7f4FrvnN9r+vzqa2txdfXl7a2Nuzs7Kirq2P27Nn4+vpy6dIl9u/fz5w5c/jkk0/G+c6/X741cwqR74+BgQHOnj3LX//6VyZNmkRXVxeff/458+fPZ+3atZw5c4asrCwuXbrE2rVruXDhAklJSfT29vLKK68QExODTqfjypUr+Pr6Mnv2bAAeeugh1q9fz8mTJxkYGKCvr49169axa9cuXn75ZVQqFZcuXWLFihU88sgjAHR2dhIREUFsbCxnz55Fr9dTW1tLYmIiEyZMIDs7G2dnZ7Kzs0lMTESv17N06VK8vLy4cOECPT09wjeHvr4+uru72bBhA5cuXaKwsJBZs2Zx/vx5jEYjQUFBgsH0mTNniImJITIyEq1WS0VFBcXFxeP5YxH5XyxduhRLS0t0Oh2tra34+/uzc+dOZs+ezauvvkpaWho7duxgYGCAiRMncvHiRaqqqoCxxjOVSsX58+eB/3Gm8vT0pKioCCsrK5RKJenp6Wi1WiwtLenv70en09HZ2cm5c+d4/PHHefPNN1mxYsV4TsMPAnED9EfAhx9++DevH374YZydncnMzATG5GlDQ0OFVa2VlRX19fUcOXKENWvWoNFoyMrKAqCnp4fm5mbq6+uxtramsrJSaAh66623AGhubsbBwYG8vDw0Gg1SqRSpVMqRI0eIiIhgzZo1ZGVlIZVK6e3tBSA1NRVfX18qKiqIjo6msbGR+vp65s6dy9atW0lMTKSvr48TJ06wevVqBgYGKCkpQaPR0NDQwPTp09m+fbtwjw4ODixatIjU1FSio6OBMZON2bNno1KpaG1t/W4nXeRfEh4ezsjICDNmzKC1tZU77rgDo9FIZWUlRUVF5OTk4OnpiVQqpaSkBGdnZ/r6+lAqldja2pKamgrAc889x549e/iv//ovfvKTn1BTUwNAU1MT2dnZbNiwgcLCQlpbW+no6BA6m1UqFa6urjz//POCO9atjBjMf4S89957wFjQ3rVrl6CUaG9vT0hICFOnTqWjo4OXXnqJtrY2rly5QmRkJDY2Nly4cAG5XA6MBcynn36aDz74gJaWFmJiYjAYDEIVgru7OyqVir1792JjY4O1tTVGo5HMzEzCwsIEx6KoqCh8fHwYHR0lIyMDpVKJnZ0dlZWVNDU1YWtrS11dHXq9HmdnZ9ra2hgZGSE2NpZTp05x22230dXVhZubGwDz589Hq9Vy8OBBYUxqtZqenh4hB29pacnEiRPFoD5OPPbYY0il0r8JrKdPnyYnJwcY+wa4Z88eYmJiaGhoICgoiAsXLjBlyhQqKiqorKwUqlwOHTqERqPhwoULlJaWkpOTQ0JCArfddhuhoaG0trbS1dWFs7Mz5ubmBAQEkJOTw+23386hQ4eYPHkySqVSuPatiphm+RGza9cuAEwmE3v37uX+++9HqVSyc+dOnJ2daW5uRqPRsGrVKhYvXoyzszNarZbBwUHs7e1ZsGABnZ2dtLW1ERQUxPTp07nzzjsJCAigs7OToqIizM3Nsbe3JywsjP/3//4feXl5NDY24u7uzsyZM2loaGDKlCl0d3eTkZHBnDlzaG5uJj09nU2bNqHX6wUlxaqqKpYtW8alS5dwdnZGoVCwbNkysrOzGRoaoqWlBb1eMZ9pcwAAIABJREFUT1VVFYWFhVhYWFBWVkZvby9yuZzGxkYsLCyIjY1lyZIlwrcCke+Xu+++W9DzSUhIwNvbm5deegknJyesrKwwMzOjtrZW6CBWqVQcPXqUu+66i9TUVL788ksqKyuRy+UkJydTUlLC/v370Wq15OTkYG9vj1arJSMjQ+inmDRpEunp6UilUjw8PFi3bh07duwAYN68eZSVlVFZWYlKpRrn2Rk/xJX5TcQ777zzN6/nzp3L+fPn+eSTTzh69ChWVlYAwoo7LS2N5uZm3n77bXbt2kVeXh5FRUUEBwcTEBCAl5cXJSUlDAwMkJ2dTXZ2NlZWViQlJZGbm0tJSQnBwcFUVFTQ2trKnDlzOHjwIC+++CLV1dVs3boVhULxN+mgd999l+DgYLy8vPjjH//I6Oio8K3ixiatUqmkoKAAGPMKDQsLY/v27axZs4bq6mqampqQy+UMDg4yZ84cTp069f1O9C2Mg4OD4AerUCiYOHEiu3fvJjg4GCsrK1auXElJSQkLFixgZGSE1157jd/+9reMjIzwwgsvYG9vj7e3N2q1mpSUFBQKBQD+/v4AaLVaVCoVNTU1gnetVCqlqamJhx56iMuXL+Pn58fx48dZu3YtLi4unDhxghUrVnDu3DmKi4uRSCT8EAo7vm/ElflNTFZWFt3d3Rw9ehSTyURCQgIrV64UbOEMBgPTpk2jqakJe3t7pFIpnp6eQgmghYUFzc3NDA0NCYJZtra2GI1G7O3tSU5OZvLkyRQUFODn54ebmxtqtZqysjL27NkjbEr5+voCIJPJSElJQa1W09raio+PD9HR0aSmpvLee+8xe/ZszMzMaGpqEhqjbrvtNrZv3469vT3V1dXk5OSQlJSEnZ0diYmJNDQ0jNf03pJcu3YNhUKBXq/n5MmTfPjhh0yZMgUXFxfq6+tpaGigpKSE8vJynn32Wfr7+7G0tKS6uhorKysWLVpEcHCwsL9z4MABvLy80Gq1WFtbEx0dzZo1azA3NxcMw1NSUrCzs2PPnj0YDAaMRqOQkz9x4gQGg4GMjAxBfyg2NnacZ2l8EIP5LcCNVcp7773Hxx9/TF1dHa+//jp+fn4YjUZOnTqFwWAQBLj0ej2tra2kpKQIMrkpKSnI5XKWLVuGQqFg6tSp5OXl0d3dTVBQEB0dHVhZWdHf38++fftYuXIl7u7u3HfffSxcuFAYy8cff0xhYSGnT5/GwcFByIHPnDmTxMRERkdH8fDwEBqfbrTz63Q64uPjMTMz4/z583h4eODo6MjVq1d57LHHvt8JvUVRqVQMDw+jVCrR6XR4eHhgZ2eHSqVCr9dTUFBATk4OERERwubmM888w6FDh+jp6WFwcJCwsDAOHDiAp6cnR44coaSkRDA/CQkJoaamhh07dqDT6SgvL6exsREfHx9KSkqwsrIiJyeHd999l6SkJCorKykoKKCmpkbodYiPj2fGjBm3pOqmGMxvYT777DN0Oh0jIyPMmTOHiIgI4uLiuO+++wgKCgLGGo0ee+wxYmNjaWxsZOfOnQwPD2NmZkZRUREFBQV4eHjg5ubGhx9+iIuLC+vXr2f//v1s3bqVnTt38umnnxIVFcXmzZvJzs4mJCSEvr4+ZDIZ3t7ebNiwAYDk5GRcXV1JT08nLi6OJUuWoNVqiYqKIjo6mo0bN7JixQomTJiAu7s7O3bsoKenh/r6et588028vLzGczpvaiQSCcuWLUOj0VBbWytslM+bN4+JEydiNBrRaDTExcVRWloKjKlo3nnnnX/zYf7b3/6W5cuXM2PGDA4dOgRAQkICcrkcR0dH7OzsWLJkCQ899BBnzpzh6tWr1NfXY2Fhwfr161EoFCiVSgYHB1Gr1URFRaHT6SgqKkKpVFJZWUl9fT3R0dGEh4ffUr8TYjC/xSkpKaG9vZ329nbOnj3LnDlz2L17t1Bp0NLSwvbt2+no6GB4eBhPT0+Gh4c5d+4cCQkJAISFhXHx4kXuvvtuCgoK6OzsZMuWLcCYEiJAYGAgv/zlL9HpdNTU1DAwMEBvby/h4eH09fVRUVGBn5+f4EVaUFAgbKbdyJ/DmJHG+fPn6evrQ6VSsW3bNmHzKy4u7nucuVsHiUSCj4+P4A+7fPlyQQTro48+YufOndTV1VFcXEx3dzcJCQk4OjpSUlJCfn6+UPL6VdOSrKwsob583759xMbGkpeXR21tLXZ2dlRVVdHZ2Yler0ej0QhdoTqdjkcffZSpU6cil8sFTf/U1FSkUimVlZXY2Nig1+vx9va+pbRcxGB+i2MymZg/fz47d+5kdHSUmJgYzM3NsbKyQi6Xs3nzZtRqtfBfV1cXOp0OmUyGmZkZrq6u5ObmEhAQgF6vJyIigry8PBwdHQFYvXo13t7e9PT0CDodNyQKmpubyczMRK/XI5fLsbOzEwTDlEolp0+fZtu2bcTGxjJ9+nQWLlzIU089hbe3Nx988AHXrl0TpAp27NghGkJ/B9x+++1ER0cTFRXFU089JTT51NXVkZGRQWRkJACbN28mPDycwMBAjEYjEyZMwNHRkcHBQWxtbYUP2rS0NB599FFkMhn29vYkJSWhUCiYO3cuBoMBf39/tm/fjsFgQKPR8NBDDwEQFxdHU1MTixYt4uDBg2zZsoWCggJWr16Nubk5MTExdHd3ExwcTEtLCx4eHkRGRvLggw+O29x934jt/CLcf//9ODg4cP78eUpLS1m5ciVWVlZ0dXVRUVFBdXU1jz76KP39/Zw9e5af//znlJaWcvjwYUZGRhgaGiIyMpJjx44RGhqKh4cH+fn5DAwM4O3tLazAvg2USiUvvPACjz/++Ld2TZF/jK2tLdHR0ej1eqRSKWVlZQwPD+Pn58ftt9/Ojh07hIadG3ophYWF+Pj4sGTJEjIzM7G1taWwsBCAjRs3UlFRQUlJCfPmzaOvr4+DBw8SHByMVqvFzMyMoKAgJk2ahEwmw8nJCTMzM+zt7bl48SJ9fX3MnTuXLVu2EBQUREREBA0NDTQ1NaFSqfDz86OpqYmysjIiIyM5e/bsTdWLILbzi/xTgoOD8ff3x9vbm5UrV+Lo6Ehvby9paWksWrSI6dOn097ezueff05sbCy1tbVYWVlhY2PD/PnzmTZtGn19fTzxxBP4+/tz4MABzMzMWLNmzbcayGFMZVEM5N8fq1ev5tixY5SVleHm5sakSZNYtGgRHh4e7NixA0dHRy5duoSXlxfTpk2jrq6OjRs3MjAwgK+vL1qtFnNzc1588UWio6M5ceIER48eJSIigkOHDnHw4EFgrCTxhnTDT3/6U1QqFUajEQsLC3bv3s3WrVuxsbFh5syZlJWV8dBDD6HRaKipqaGoqIj6+noKCgo4fvw499xzDwATJkygra3tlhFoE1fmIgBCGeGpU6fo7+8nJiYGmUxGR0eHIJ4UFxdHa2srQUFBhISEsG3bNq5evcqSJUvYt28fERERuLm5UVJSQlhY2C0ngnQzMmfOHEJDQzl27Bgw5hULY2Wrq1atYmhoiKamJkpKSrj33nvR6/X09fXh7++PjY0NJSUl+Pv7k5+fj1KppKqqCnd3dwoLC9m0aZPQJKTT6SgsLBQa1E6dOiWYfHt4eDB16lT++te/UlxcTHh4OEajkenTp7Nnzx4iIiIoLCwUHtVqNXfccQfl5eVERETw0ksv3TR159/KylwikUglEkmxRCJJv/5aKZFIMiUSSfX1R8VXzv2VRCKpkUgkVRKJZP43vwWR75obLdmdnZ3MnDmT8vJy8vLy0Ov1TJgwQXAekslkpKamUl1djcFgYPny5Zw6dYpNmzZRV1fHqVOnUKlUSKXS8b4lkW/IlClTuHjxIm+88QYXL15k/fr1/OlPfyIuLo6VK1dy4sQJBgcHqampwcLCgs8++4zDhw+jUqlobGzkT3/6E3K5XGhWa29v55lnnqG4uJikpCQKCwtpa2vj3nvvpbS0lPXr1/PRRx/h7+/PokWL8PHx4erVq+Tk5FBRUSFITFy+fJnm5maqqqpwdHRk4sSJuLm5YTQaUSgU9PX1CdIQLi4u+Pr63hJVLf9OmiUZ+KrwwTPACZPJ5A+cuP4aiUQSDDwAhAALgB0SiUT8y/6Bk5GRwfbt21m/fj1GoxEbGxvWrVvH8PAwXV1dADz77LP09vYSFBTE4OAgSqWSzz77DLVajYuLC0ajkdHRUUpKSvj444/H+Y5EvimhoaGkpqZiZmZGaGgoBw4c4NNPPyU9PZ2mpiaGhoaEOvNly5bR09PD4sWL+eKLL2hqamLJkiUcPHiQQ4cOYTAYcHR0JCsri7feeouUlBRGRkbo6uri+PHjTJo0CZ1OR3FxMTt37qS1tRWVSsW9994ryOkaDAZWrVrFvHnzsLa2FnTxbWxs8PPzEywPw8LCOHjwIBEREWRmZvLf//3fQqfpzczXCuYSicQdWAzs+srhe4H3rz9/H4j/yvGPTCaTwWQy1QM1QMS3M1yR74pTp04RHBxMe3s7dnZ27Ny5kz/96U+0trbi7OyMj48PpaWlhIeH4+fnx8WLF3FxcWHWrFmMjIxQX18PwAsvvCA0gYj8eJFKpWi1Wg4fPszq1asJCQnh1KlTgiZLTk4ObW1tBAcHU1RURG9vLzExMcCYfLPBYGBgYIC4uDgiIiIICgrC398fg8HAs88+K0g6ODs709LSwooVK0hLS2Pz5s3Ex4+FkoKCAo4cOcKyZcvIzMxk3rx5VFVVCaqgwcHByOVyDAYDNTU1BAYGEhQUJJiBw1haaNOmTUJz2s3M112Zvw78Ehj9yjEXk8nUCnD90fn68UlA01fOu3z9mMgPnJ/+9KdcuXKFuXPn8v777+Po6IhUKqW+vp7U1FSsrKxobW2lvLycK1euoFQqiYiIQK1Wk56eDsDPfvazcb4LkW8Do9GIXC7njTfewMzMjJSUFAICAoAxVcuFCxcSFRXFli1biI+PJysri7y8PCwtLZk/fz6VlZUcPHiQ9PR0mpubyc7OJj8/n46ODmCs5PFG+iU8PBylUilUUTk7O6NUKlm+fDkAhw8fJiYmhkOHDnHu3DlycnLQaDSCi1Zubi5XrlwRrA8vX77M6Ogox48f584770StVrN+/frxmcjvkX8ZzCUSSRzQYTKZir7mNf9eH+3/2X2QSCRrJRLJWYlEcvbKlStf89Ii3yVPPPEEHh4efPnll1RUVNDQ0MDKlSuF/OMNQaX6+nquXbvG2bNn2bNnD6+88grXrl2jv79faCwR+XEzefJkAgMDsbe3Z/fu3SQnJ6PRaNBoNIKhd2RkJF5eXrS0tNDZ2Ymvry8XLlwQvDwdHR15/vnnycnJITAwEIDe3l66urowGo0YjUZUKhUVFRWUl5cDY5IBn376KTNmzOD48eOEh4fT2NhIaGgoTz75pGACXl5ezuXLl7n33ntRqVSEhoZSV1eHs7Mz5eXlJCQk4Ovry2effcbBgwfJz88ft7n8vvg6K/NZwBKJRNIAfATMlUgke4F2iUSiArj+2HH9/MuAx1fe7w60/O+LmkymnSaTKdxkMoU7OTl9g1sQ+TZJTU0lMzOTGTNmIJVKaWlpwd3dnZdeegmA0tJSXF1dMRqNtLW14e3tja+vLwMDA3h6elJXVzfOdyDybVBfX09tbS3Xrl1j48aNHDhwABhLoXR2dgriVzNnzqSwsBC5XI6Hhwe2trbk5ORgYWHBwMAA77//vqCKuWbNGiZOnMijjz5KSkqKoP2TnZ1Nbm4uKSkp7Nq1i3vvvZfjx49z//33U1NTQ2JiIu+88w4vvvgia9asEfZsvpoWjIuLQyqVCpox+fn5XLt2DaPRSGxsLGq1mlWrVo3zrH63/MtgbjKZfmUymdxNJpM3YxubWSaTaRVwGFh9/bTVwKHrzw8DD0gkEplEIvEB/IHCb33kIt8Jf/nLX4iNjSUlJQW9Xo+dnR2LFi3iN7/5DcHBwUyZMoWFCxeSkJDAwoULOX36NA8++CD9/f2CQ4zIj58bzTvDw8P4+/sTGxvL8PAwAwMDlJaWEhwcTFVVFefPn2fDhg24uroKVSwwJmkbExPDrFmzKCoqQq1Ws2XLFtra2jh58qRQEdPX1yfI4gL86le/4tNPP0Uul9Pb2yt0iDo7O3PHHXewe/duQkNDiY2NpbOzE4VCQX9/P8ePH6empgZvb2/S0tJQKBSkp6fzi1/8AoPBQFpamlBWebPyTZqG/gjESiSSaiD2+mtMJlM5sB/QAhnA4yaTyfhNByry/XBDyGrZsmW4urrS0NCAVqvF1taW1tZW3nvvPeLi4vDy8uLo0aMMDg4Kf4giNw/29vZCw9e6detITU3F0dGRJ554gpGRERwdHQVTk56eHm677TZB1tbNzQ2tVktfX5/gMlRTU4O1tTWtra2Mjo6Snp5OXl4eoaGhPP3007S3t6NQKCgvL2fDhg3U1tYyYcIEdDodDQ0NqNVqmpubhWvb2dnR1NREamoqly5dQi6Xo1arCQsLA+COO+7A0dGRwsJCZDKZUHlzMyM2DYn8H6ytrVm/fj1bt24lKSkJLy8vzpw5g06no7+/H4PBwPDwMO7u7oLDusjNxerVq9m7dy8BAQHcd999vPDCC8TExHDq1Cnuuusu7rvvPtauXUtQUBC9vb0olUrBSOTtt9/G29sblUqFWq3m1VdfJTExkfr6emQyGXZ2doIz1g1lxMmTJ9PY2Mibb75JRkYGn376KTKZjNWrVzNv3jxWrlxJT08PsbGx5ObmMn36dGDsG0BLSwuzZ8/mhRdeIDExkerqatra2lixYgU6nY5PPvkEpVJJR0fHj77SSmznF/m3mD59OpcuXWL58uWUl5djNBpRq9U0NjaycuVK7rrrLq5evcptt91Gdnb2eA9X5DtApVLxxBNPUFtbi1Qqxc3NDXt7e1atWoW7uztNTWMFa319fcJKPS8vj1dffZW1a9cSFhZGWloaJSUl+Pn5kZWVxdGjR5k1axZWVlaMjo6SmZnJ4sWL6ezsxGAwsHv3bpqamhgdHSUyMpK2tjb279/Pr3/9a2QymSCTOzg4iNFoJCgoiPr6erKzs3n33XeFxrYbOjBlZWXs3r0bpVLJ3LlzheqYmxVxZS7ydwkPDycgIICMjAzuu+8+FAoFb7/9NjqdjpiYGCGI/xB+f0S+fZ555hleeuklFAqF4OPp4uJCaGio4PITGRnJ9OnTKS8vJyUlhY0bN9LZ2cnZs2fRarXAmMtUc3MziYmJODo6snv3bgICAuju7kalUtHQ0MBPf/pTjh8/jsFgEKSUb1wvLy+Pvr4+DAYDHh4eeHt789lnnyGVSgkNDcXc3BxfX19qa2txcHAQfGgBQfclKSmJ/Px8amtrf/S/r/9sZS4Gc5H/Q3h4ON7e3nz55Zc0NjYSFxdHR0cH8fHx/O53v8Pe3p7Jkyfz17/+dbyHKvIdcPfdd1NYWIhOpyMuLo66ujoWLFhARUUFly5dYubMmbi4uLBz504WLVpESkqKoHoYFxdHd3c3vb29WFhY0NjYSE9PDz4+PsyYMYOqqiphI3VgYICrV68yMDDAI488ws6dO4Ex4bfJkyeTm5srGHhrtVq0Wi2enp7U1tYSHR1NTk4OAD4+PtTX1xMUFMQDDzzAjBkz+OKLL5BKpRQXFzNlyhR27NiBm5sbzc3N4zm13xgxmIv824SEhPDII4+wefNmYmJiOHbsGD4+Pjz99NN0dnaSlpaG+DO7eXFycsLS0pK2tjZCQ0NZvnw5mzdvFoK2vb09IyMjLFmyhM7OTkZGRoT3WllZcfHiRSwsLJDL5YyMjAgdmEFBQbS3twsB/kbn8I33zZs3DxcXF44ePYparebSpUt0d3cTGRlJZmYmfn5+PPjggzz99NOCsJaFhQUAixcvpqOjA3NzcwYHB3F2dqampobe3l6h9v2HEO++CWLOXOTfJj4+ns2bN2M0GikuLmb+/PlERkaydu1auru7xUB+k7Ns2TKGhoaEtMqNDl9HR0dBNVOj0WBlZUV3dzd5eXlUVVXR3d3N4OAgDg4OVFZW0trayu23386mTZvYsGGDUFni6Ogo5LCTk5OF5+np6Rw6dIj588f0+bq7u+nq6uLgwYNYW1sLCwofHx8MBgPBwcEYjUb8/f3R6XRMnTqVpqYmPDw8OHfuHJWVlZiZmREREYHJZMLBwWF8JvR7QAzmIn+X3//+9zg4ODBjxgwAbGxsSE1NxdPTk5dffnmcRyfyXfPOO+8we/ZsSktLUSgUgnXfihUraGpqory8HJ1OR2lpKSMjI3h6ejIwMMDtt98uOBElJSURFxdHZmYmXV1dNDQ0MHXqVF555RXmzJnDK6+8gqOjI4cPH+bKlStYW1uTkJCAvb09gGBMERoaSnJyMpMm/Y8qyNWrV/Hx8UGr1fKHP/wBrVbLlClTsLS05NKlS8I1n3/+ecLCwjA3NwfGOlBvVsRgLvIPCQgIoL29nZ/97GdCm/6t5Kl4q6PX67G1tUUmk7F8+XLkcjl//OMfMRqNXL16lb6+PoqKivDw8MDBwQFPT09mzZpFdnY2SUlJNDU14e/vz9WrVzl9+jTr1q0jOzubdevWkZaWxsKFC5k9ezZGo1FwCsrPz6etrY2qqir27t3LnDlzaGxs5C9/+Qu33347JSUlrFmzhvnz5+Pm5kZiYiJHjhxh+/btnDx5kq6uLtavX4+lpSW+vr689tprTJgwYbyn8nvBfLwHIPLDZXBwkEmTJlFZWUlJSQnJycnjPSSR75kbBt5NTU3Y29sze/Zs9u/fz759+/jFL35BTEwMLi4unD17FrlcTlVVFefOnaO4uBiAL774gs2bN7Np0yZef/11ZDIZCQkJBAYGUlVVxdDQEFKplDvuuIPu7m68vb3p6+ujpqaGoKAgBgYGWLJkCTBmLl5fX8/g4CDDw8NYWFjQ0dFBTk4OhYWFxMTEMDQ0xPbt25HL5fj4+DB37lxaWlqoqKj4Z7d5UyBugIr8U5ycnEhMTOTYsWO3xB+EyP/w8MMPU15ezrRp0zh58iQuLi6CMqFKpUKj0Qh2bT4+Ptx5552CV+i+fftITEzkzJkzzJo1i76+PjIzM7G2tsbGxgYbGxvkcjnFxcWMjo4SERHBlStXiIyMFOrEp02bxsGDB1EoFCiVSurr6xkdHRNuVSgUhIeHC+WMS5YsYXBwEDs7O7Kyspg7dy4DAwN0dXUhlUr/Rszrx4xYzSLyHyORSLCwsMDGxuamzjeK/H2efPJJPvnkExYsWMDtt99OcXEx27dvR6PRcOnSJYxGIy4uLoSEhJCVlYW/vz/+/v64u7tz9epVduzYAcCGDRvYtWsXixcvxtLSEpVKxdmzZwkNDeXw4cMYDAZaWlpISkqipKRE2OCcOXMmHR0d5ObmYm5ujlKp5OTJk8yfP5/y8nKcnJzw9/fnxIkTKJVKtFqtUCUTHx+Pl5cXb775JkbjzaEoIlaziPzHuLq64uvrKwbyW5AbH+QPP/wwGRkZvPzyyxw5cgQfHx8qKyu555576OnpwWAwcP78eQYGBqiuriYwMJDPPvuMrKwsgoKCiI6OZmhoCG9vb9RqNcXFxRQXF5OTk8Mbb7zB+vXraWlpYeXKleTm5tLX18eRI0dwc3Pj2WefJTc3F0AwohgeHsZgMODk5ERhYSGpqaksXLiQjo4OQfDLzc2N4OBgYEza+VZAXJmLiIj8QyQSCREREVy+fBlzc3OmT59Oeno6cXFxZGdno9Fo6OjoYHh4mJ/85CecPXsWFxcX6urq0Ov1mJub8+WXXxIaGkpjYyNXr15Fr9cDY2WOw8PDREVFMTIyQmZmJgAxMTEYDAYWLFjAjh07hDLHmJgYvL292bNnDytXrsTBwYFdu3YxZ84clEolKpWKy5cvYzAYhLr3WbNm8dprr900ixFxZS4iIvIfYTKZhLz2DVVDgNzcXCZMmIBSqaSyspLa2lo++ugjDAYDCoWCsrIy4Rvd4sWLKSwsJDw8nJCQEKysrFAoFHR2dhIYGEh5eTmOjo7ExcWRlJTE5MmTUSqVvPrqq8CY9VtycjKFhYVcvnyZ5cuXEx0dzeDgIAkJCcTExHDkyBH27NnDuXPncHV1JTMzE5lMhpmZGX5+fuM5hd8bYjWLiIjIPyUhIQGj0cjw8DBZWVmo1Wr6+vrw8/MTBLf27dtHQkICZmZmyGQyOjs7BS/QlpYWzMzMcHFxAcZUOdesWSNUoWzbto2jR49y8eJFHBwcGBgYQKvVCh2earWaP//5z6xevZp3332X4eFhXFxcsLW15dixYxQXFzN9+nShy/PcuXNERUUBYybkP4Tsw/eBmGYRERH5l0gkEhISErCysqK2thYnJyfUajVvv/220JTj5+dHTk4OfX19KJVKZDIZeXl5QkNRS0sLCQkJfPzxx1hbWxMSEsLEiRPp6OgQNjovXLjApEmTyMzMJDo6Gp1Oh1arxd3dnZCQENLT01m5ciW1tbU0NzcTGhrKl19+ibOzMx0dHQwMDGBubk5UVBSLFy/GwcGBxMTE8Z6+bw0xzSIiIvKNMJlM5Ofns3fvXnJycjh+/DjPPvssISEhKJVKDh48SGNjI4sWLWLDhg1UVFQILfqTJ09GJpPh6urKvn37CAoKQq1WU1hYyMjICL29vWzfvp3MzEweeOABMjMziYuLIycnB2dnZ6ZPn46HhwcTJkxAoVBw5swZZDIZlpaWSKVSLC0t0Wq1BAQEsHz5cgwGA1KplM7OzpsqkP8rxJW5iIjI1yI8PJyYmBheeeUVwdw5JyeHkJAQKioq0Gq1BAUF4efnR01NDZWVlSQlJWFra0t1dTU6nQ6j0cjMmTPZvn07rq6uGAwGdDodzs7OAFhaWuLq6kpXVxeRkZGcOHGCq1evEhMTQ01NDSEhIUL3qFQqFTRj5HI59vb2zJs3j8LCQubOnctbb701ntP1nSCuzEVERL4xZ8+epaCggE2ZxsmWAAAgAElEQVSbNtHb20tlZSXDw8MYjUaqq6vZuHEjdnZ2ODk54eHhwdq1a0lJSWHHjh3U1NQwceJEvL292b59O2vWrMHFxYUJEyYINel33303jY2NmJubM3nyZMGabuLEieTn5wNgMBiIiYkBxkS5kpOTkcvl6PV6fvKTn/DFF1/Q3t5+Uwbyf4UYzEVERL42+fn5DA8PU1tbS0NDAzqdjoMHD2Jra0tZWZnQvQmQkZGBmZkZUVFRREVF4eDggKWlJWvWrKGiooL29nZcXV1ZunQp8fHxgiSAXC6noKBAkLbt6urC398fjUZDaWkprq6u6PV6NBoNdnZ2DAwMAPDSSy9x//33093dPS5zM96IaRYREZF/m2eeeYZDhw7h4+PDyMgI3d3dVFZW8thjj/Hhhx/S1taGj48P3t7etLa2Mn36dPz8/Hj55ZdZunQpDQ0NmJubc/nyZSIjIwkMDGTr1q0sX76ckydPYmNjg7OzMzKZjFmzZmE0GnnhhReAMXnmG3Xkx48fR6VSMTAwwKxZs/jkk0/Gc1q+c8Q0i4iIyLfKBx98QGVlJR0dHchkMmGDsri4mAcffFA4z8nJiUWLFuHj40NxcTFOTk44ODhQWFhIQUEB7u7uFBUVUVxcjJeXF0FBQYyMjPDAAw8wMjIiKDVKpVIAtmzZwhNPPIGNjQ0ymYzFixejUqkICAi46QP5v0IM5iIiIv82zc3NmEwmuru7SU9PRyqVsnjxYtzc3MjIyCAoKIirV69iYWGBSqVi2rRp6PV6IiIiqKysBOChhx5Cr9czOjqKi4sLAQEB/OY3vyEkJAS5XM7SpUspKSlh8eLFbNmyhW3btmFtbc1zzz3H/v37ycrKoqKiApVKxalTp8Z5RsYfMZiLiIj8x9TV1WFvb8+1a9c4ffo0TU1NNDc3s2jRIiZNmoRUKqW1tZVf/vKXzJw5k7CwMJRKJRqNhr1797JgwQLq6+s5evQoer2eRx55hNWrVwNjq/Bf/OIXpKWlERcXx+7du3n66ac5ffo0AGvWrMHa2vqWX5HfQMyZi4iIfCtIJBJgTHOls7OTjRs38tFHH+Hk5ERYWBh79uxBrVbj5uaGTqfD3d0dqVTK4cOHCQkJISQkhJycHDo7OwkLC+PUqVO4urrS0tLCQw89xJ49e0hOTqa/v5+ysrJb0lBczJmLiIh855hMJlauXElnZyfJyclcunQJPz8/hoeHOXjwIK6urjQ3N3P06FHMzc3RaDTk5+ej1+vx8PBgz549AFy7do2QkBC2bdsmeIHu2bOH6Oho3njjDT766KNbMpD/K8RgLiIi8q3x8ccfYzKZeP3115k2bRplZWWo1Wp6enqYNm0a3d3dBAUFERERQUZGBo2NjQA0NTURFBTE1q1b2bZtGx988AF9fX3U1tYSHByMvb09Tk5OaDQa+vv7x/kuf5h8rWAukUgaJBJJmUQiOS+RSM5eP6aUSCSZEomk+vqj4ivn/0oikdRIJJIqiUQy/7savIiIyA+X3/3ud6xbt46BgQFiY2OJjIxkdHQUuVzOK6+8gsFg4Pnnnwdg/vz5VFZW8u6777Ju3Tp0Oh2bN2/Gw8OD5uZment7+eSTTxDTsf+Yr5Uzl0gkDUC4yWTq/Mqx/wa6TSbTHyUSyTOAwmQyPS2RSIKBfUAE4AYcBwJMJtM/tPr4IebMH374YXx8fPjwww/p7OzEaDRy33330dXVRU1NDQDnz58f51GKiPz4WLp0KS0tLdjb29Pc3IzBYMDT0xNzc3MCAwN58803x3uIP1j+Wc78m0jg3gvcef35+8BJ4Onrxz8ymUwGoF4ikdQwFthPf4N/63vD2tqaSZMmAdDT0wNAZGQker2eoKAgXnzxRby8vCgqKkIikdwy8poiIt8WBw4c+D/HHn74Yd57771xGM3Nw9fNmZuALyQSSZFEIll7/ZiLyWRqBbj+6Hz9+CSg6SvvvXz92A+eKVOmsH79ejo7O6mtrSUwMJDKykrByHjnzp0MDw9TXl7Oxo0biYqKYtasWcyaNWucRy4i8uNGDOTfnK+7Mp9lMplaJBKJM5ApkUgq/8m5kr9z7P8sX69/KKwF8PT0/JrD+G6prKzEzMwMCwsLEhIS8Pb2Ji4ujr6+PrKzs4mKikIulwNQUVGBTCZjypQptLe3i6t0ERGRceVrrcxNJlPL9ccO4ABjaZN2iUSiArj+2HH99MuAx1fe7g60/J1r7jSZTOEmkyncycnpP7+Db4Enn3wSBwcHYmNj0Wq1dHZ2YmNjw+HDh0lPT0cmk5GUlERgYCDe3t5Mnz6d0NBQ2tvbycrKwt3dnbi4uHG9BxERkVubfxnMJRKJXCKRTLjxHLgbuAAcBlZfP201cOj688PAAxKJRCaRSHwAf6CQHzCvvvoqjz76KHq9nuTkZAAGBwf58ssviY+Px8fHh8HBQfr6+pg3bx5DQ0O0t7fj4uKCSqXi448/RiaT3TJegyIiIj88vk6axQU4cL27yxz40GQyZUgkki+B/RKJZA3QCNwHYDKZyiUSyX5AC4wAj/+zSpYfAn5+fkyaNIn29nZmz55NT08PaWlp6PV6Jk+eTEVFBRMmTKCiooKIiAiKiopoampiw4YN1NTU0NbWxpUrV5g8efJ438qPkvDwcLHkTETkG/Ivg7nJZKoD1H/neBdw1z94z++B33/j0X1PODg44OHhwcyZM9mxYwd5eXnceeedmJubU1dXR2VlJQsXLiQ2NpaBgQEqKyvRaDRUVVXh5uaGWq1m+vTpgq6yyNfnhrfk6tWrKSkpYdasWaSmpqLT6Vi4cCHFxcXcfffdpKSkABAVFYVerxfLQkVE/hffpDTxpsHb25vKykqamprIyclBLpdTVlZGQEAAXV1dODk5YWZmxhtvvIGrqyuJiYmkpqbS29vLwYMHAbC3txecykX+MQ8++CBtbW3I5XKOHz+OQqGgtraW+Ph4rly5woULF9DpdIKXY1tbG+Xl5YKmx8yZM3n77bd5+OGH2bdvH2FhYRQUFIibzyK3PGI7PyCVSikqKsLf35+goCD0ej1yuRxfX18KCwvp6+ujq6uLuLg4lEolc+fOBWDSpEnEx8ezefNmmpubGe+N3B8qv/71r5FIJDz++OOUlJTg4eGBm5sbd9xxBy4uLhiNRlpaWrh06RIdHR3ExsYilUqpqanB19eXmJgY3NzcOHbsGGlpacycORO9Xs/g4CAFBQVEREQICn333HPPeN+uiMi4cMurJq5atYrU1FThtUKhoKenh6SkJAoLCxkeHkaj0WBlZSV81VcoFERGRjJz5kw6OjooLy8HxoT4P/7443G5jx8iS5cuRa/X4+Pjg9FopK6uDicnJ65evYqDgwP79u0jKioKlUqFi4sLO3bsYP369aSnpxMSEoKPjw86nQ6dTkdISAi5ubno9XquXLmCTCajvr4eADc3NzZv3syRI0dYsmQJ2dnZ4s9B5Kbku+oAvSnYu3cvx44dY/LkyYJNlVQqFQK3RqNhaGgIo9FIdHQ0ACMjIyxevJjS0lLS09NRq9WMjIyQk5Mznrfyg0AikRAfH09JSQnW1tYMDAwI33T0ej0Gg4GCggIAXF1d8fLyorOzkwMHDpCYmEh1dTUWFhZIpVKqq6uRy+XIZDJOnz5Na2srSqWStrY27rrrLuzs7PDw8CA/P5/Tp09z9OhRWlpa8PHxQalUsmDBAj788MNxnhERke8HMc0CTJgwga6uLszNzUlLS6OhoYF9+/YRExNDc3MzCoWCjIwMlEolDQ0NeHl5ceTIETIzM7ly5Qr19fUoFApee+218b6VccXJyQl7e3syMjLw8/MjNDSUoKAgZDIZCoWCwsJCent7iYmJITExkbvvvpt9+/aRmZmJj48Px44dA0Cv15Oenk5ZWRktLS0YDAYaGhoICwvjtttuY/Xq1dTU1DA8PMyZM2dYu3Yt9vb2KBQKSkpKuHjxIhMmTGDVqlU8/vjjgs62iMjNjBjMgUuXLjEwMMCZM2dITEzE2dmZhIQEzM3Nuf/++3n//feZOHEier2exsZGFAoFoaGhdHd3k5ycTGhoKPv37+f48ePY2tqO9+2MC+Hh4axcuRK1Ws3g4CDl5eWoVCrq6+vRaDTI5XKsrKyYOnUqGo2GwMBAvvjiCxwdHXFzc0MmkzF37lzUajXTpk0jPj6etrY2Ll++THp6OoGBgRw4cIDR0VGuXLmCwWBAq9WSlJTE1q1bqa+vZ2hoiJiYGLy8vLC1teXdd9/l7NmzrFmzhvvvvx9ra+vxniYRke8MMZgDGzduZPbs2VhaWpKamkpHx1gza1NTEwqFgoSEBGbNmkVmZiZJSUmYmZmxb98+rl27xoEDBxgaGiI5OZldu3bdclrLjz/+OPfccw9Xrlxh3759KJVKrKysCAwMxNramr6+PmpqahgcHOSZZ57hwIEDHDhwgGeffZZJkyYREBBASEgIvb29XLhwgZycHPz9/cnMzGTt2rW0tLQgl8tRKBSMjo7S09ODwWBArVbz/PPPo9PpmDlzJjY2Njz22GN4eHigVCrRarX4+fnR39/P7t27uXDhAlKp9G/MhkVEbiZu+Zw5wMsvvwyM5XsjIiIEwfx7772Xnp4eUlNT2bZtGxcvXqS7u5uTJ08yY8YM7rjjDoaHh8nPzxc0W24lbtSIt7a2cu3aNaZNm8bBgwdRKBRkZ2eTnZ0NgMFgwNLSklOnTjFx4kQcHBywsrICQCaTIZfLMTc3JzQ0lKamJrKysnB1deXw4cOo1WqUSiVnzpzB1dUVqVSKXC4nOzubyspKent76enpISgoCDs7O1JSUnjxxRf57W9/S09PD15eXvT29qLVaomKimLfvn3s27dPLGUUuem45atZbjBlyhTMzMzQarXY29sTEhLCyMgI5ubmuLu7U1RUxIoVKzh37hwwJg52+vRpOjo6MBqNdHd3j+v4xwOJRIKFhQWenp7U19fz85//nLKyMmpqajAajTQ2NhIfH8/hw4cZHR0lLi6O0tJSGhsb2bRpE62trVRXV1NYWIiZmRmLFi3izJkzzJ07l/3797N+/XrOnz/PmTNnWL16NeXl5fT392MwGBgYGKClpQU3NzecnJy4cuUKMTEx6HQ60tPT8fT0RKfToVQqqa+vZ8OGDZSWljI4OIiVlRU5OTliQBf50SF6gH4NKioqKC8vR6PRoFQqAaiursbe3p79+/dTW1uLXC5Hp9PR3NyMra0tsbGxzJgx45YL5La2tsyZMwcrKyucnJyYMmUKUqkUBwcHwsLCSEhIICwsjPj4eAoLC3nqqaeAsRV6Y2MjL730Env37iU3N5eqqipiYmJwdXUlPT2d2NhYfHx88PX1xcbGBoPBwB/+8AecnZ0pLCxEq9VSW1tLcnIyjo6O+Pn5sWDBAh544AH279+Pr68vjo6OLFmyBD8/P5YvX45arWb79u3odDqMRiPNzc1s3rxZ7AsQuakQV+b/gClTplBbW4vRaMTLy4uBgQFiYmLIz89n6dKl7Nq1i6GhIYaGhsZ7qN8rzz33HB988AETJ07E2dmZvr4+ioqK0Ov1eHp60tjYiIWFBcPDwyxcuJCjR48C/+PYvnLlSqRSKYWFY9pr0dHRlJaWUlRUhKenJ7/85S/58MMPBT0cqVTKnXfeSVVVFT4+PkJ1y5QpUzh69CgDAwO8+OKLvPHGG/T19SGTyZDJZMTFxfHnP/+Zzs5OfHx8cHJyYvbs2WRkZAhaMFqtlvXr1/PWW2+N55SKiHxtxJX5f0BFRQVDQ0MEBARwxx13IJfLUalUBAYG8vrrr9Pf33/LBXKVSsWWLVuora0VhLHy8vJYsmQJVlZWuLq6kpSUhNFoJD4+nqNHj+Lo6Ii9vT0vvvgiwcHBWFlZcfHiRTQaDTqdjsuXL+Ps7IxGo2HGjBm8+uqrNDQ0MDQ0xJ133snAwAB9fX0olUoGBweZPHkyly9f5tNPPxU6cp977jmamppYu3YtdnZ2hIaGCnZ/sbGx2NnZUVhYyJkzZ/Dy8iItLY0nn3ySjRs3otPpxE1RkZsCMZj/CyoqKnj//fepqamhv7+fL774YryHNG5ER0fj4+PDwoULWbVqFU5OTgQFBdHW1oaDgwO+vr7k5uayevVqYSO0s7OT3/zmN/zlL3+hsrISCwsL7Ozs0Gg0bNiwgRMnTuDq6kpRURGWlpYEBQXh7e1NdHQ0tra2tLW1cfr0adLT0zl16hRZWVnMmDEDf39/qqurCQgIEJqTPv/8c2QyGVqtlpaWMQn9WbNmUVVVRUREBDNmzKCrqws/Pz8ef/xxHBwchEqaxx9/fJxnV0TkmyEG83+Dd955Z7yHMG5YWlri6enJ3Llz6erqwt3dnaGhIZqbm2lsbGTJkiVkZmYSFBTE7NmzAViwYAHx8fFkZWWh1+vx8vIiPz8fJycn3nrrLbZs2cL8+fNpa2sjNjaWzz//nJKSEszNzcnOzkan0xEXF0dLSwtqtRovLy+WLl3K+fPnWb58uaDPAmP6OhEREfT399Pc3Iyvry+urq5kZWUxffp0DAYDly9fxt7eHoAlS5awZ88e0tPTsbGxYceOHdx9993jNr8iIt8UMWcu8k9ZvXo1FhYW7N69G19fXxwcHCgqKhL+/29/+1u2b9/OU089RVpaGkVFRSgUCtatW8fOnTvp7OwEYOXKlVhYWNDU1ERZWRmjo6Oo1WouXryIp6cncrkcpVJJTU0NYWFhnDx5ko6ODvR6PdHR0Xh7e1NSUoLBYMDOzo7q6mrCw8MpLy/H3d0df39/0tLS8Pb2RqVSkZ2dTWxsLLm5uQwODqLRaIRxR0dHC9ILPj4+yGQy2tvbiYyM5PPPP//+J1lE5GsiarOI/McUFhZSWVmJlZUVLi4uVFRUsHDhQi5evEhAQABbt25lYGAAW1tbgoKCGBkZob+/nz/+8Y+Mjo4CY5uf+/fvZ+HChXh4eJCXlyeoU7a1tfH73/8evV7Pz372M+Li4tizZw9WVlbIZDKsrKyws7Pjiy++4P7778doNDJnzhzef/990tPT8fX1Fcobk5OTOXz4sFDfLpPJ8Pb2FnLu9vb2WFhY0NzcjEajQaVS0d3dTV1dnTDWSZMm0dzcPG7zLSLynyIGc5F/Snt7O66urrS1tTEyMsLQ0BBdXV1YWFjQ0dFBcnIyCoWCvLw8AIKDg8nIyOCZZ55haGiIjo4OUlJScHR0pL6+HgcHBx555BGqq6upqqoCYM2aNfj6+hIXF0dFRQUajQapVMr8+fMZGhoiNzeXBx98kOLiYrKzs5k8ebIQyF1cXNDpdDz99NPI5XJaW1sJDg5m6tSplJaWCpro9913HzU1NdjZ2bFgwQJyc3Px9vYmNDSUkZER4UPL3d19PKdbROQ/RsyZi/xD/vCHPzA6OsrixYtRq9XU1f1/9t49Lupy3/t+D6cBRxkOwxlGTspJRYQIEFFUQg7mqTCkMLJMzXJvy1uXO9seypW7olflsiKNIpVkieIRXaAoChqKCgYMyhkC5DAwwDgMw+H+w/y9Vs9a677X8+zKtX14/8NpmPlxXcP1u67v4fOpwdbWlpqaGu7du0dLSwsdHR3cunWLoKAgSktLOXPmDGKxmJ07d1JUVERaWhpSqZTVq1cD0Nvby5///Ge0Wi2xsbFs3rwZX19fpk+fzsSJE1EqlRQXFyOVSnn//fc5fPgwg4OD1NfXExwcDCCUEk6dOpXCwkImT57Md999R21tLf39/Xh5eeHo6EhjYyOenp6sWrWKb775Bl9fXyZNmsSuXbvw8PDg8OHDGBoaEhAQQFJSEvX19fT19eHj4/PIxnyUUf6/MrozH+Uf0tHRwWuvvcahQ4eorq4mIiICmUxGeXk5YrGYoqIiIiIiWLduHQcOHGDdunX09fVx4cIFQkJCaGtrIykpiaysLOrr6+nu7kapVGJmZoaHhwcpKSkA+Pr6UlBQIBhkz549m8zMTCGeXVRURF9fH5aWlgDExsbS09NDZWUlK1euJCUlBXNzcwDWrl3L7t27AUhMTCQ3NxeA+/fvAw+06OVyOampqfj6+lJUVMTJkycxNjYmKSmJ/v5+zp07h0gkGu0QHeV/FKM781H+Ltu2bePy5cv09/cTFhZGfHw8KpWKO3fuYGFhQVNTE9u3b+fdd9/Fx8cHe3t79u7dS0VFBWFhYTz11FPY2dnxww8/MDw8zIkTJ7CxsaGsrAylUsmRI0eIiooC4Pbt28jlckpKSggODubKlSts376dadOmYWZmhr29Pa6urqSkpBAYGEhLSwvm5uao1Wp++OEHvL29mTlzJhcuXODUqVMsXLiQ+Ph4FAoFgYGBZGdn8/zzz1NbW8uRI0f4X//rf2Fubo5EIkGr1fLBBx+gr69Pd3c3Bw4ceKzrzt98801EIhGvv/46S5cu5YsvvkAkEjF9+nREIhEikYjo6GgcHBzw8fFh9uzZWFhYMHbsWKZPn46VlRUmJibMnz8fMzMzXnvtNdzd3XnqqacYO3Ysy5YtY9myZVhZWREQEIC+vj5GRka8+eabwmtYWFgIncNGRkb86U9/QiQS8fLLL+Pl5SVch52dHdHR0Tz//PPMnDmTTZs2YWZmxrJly1i+fDnR0dE8+eSTjB8/Hnd3d0QiEX/84x8RiUTMnz+fl19+GRMTE6Kjo9m2bdtjL4U8Ws0yyt/g4OBAYGCg4G+alJREaWkpdnZ25ObmkpiYSH9/P/r6+ly4cAEnJycGBwextramsbGRwcFBSkpK2Lx5M/v37xfa5mtqali9ejUffPABcXFxgsNTWFgYEomE/v5+KisrefHFFyktLeXs2bPodDrgQVxdLBazZ88eEhMTOXHiBBqNhvj4eExMTMjIyMDPzw+AadOm0d/fj06nIysri8WLF2Ntbc2NGzfIyspiyZIlnDp1ipdeeomOjg4GBgbIy8sTThPFxcXY2tqip6f32CVDb9++TVJSEu3t7YLj08OqoYcuW4GBgcydO5fLly/T0dHBk08+iZ6eHqdOneKpp54SunednJwwNzenrq6OoqIioWJoy5Yt1NTU0N/fT0tLCyEhIdy/f58ff/yRxsZGamtrhTLS4eFh5s6dy5UrVyguLiYkJISSkhLCw8O5evUqAEqlkmeeeYampiYALCwsBI0fNzc3QV7j8OHDrFmzBl9fX1pbW7l9+zZbt24VXrO1tZWLFy8+srH/Nfg/VbPob9269Xe+nL8lJSVl68qVKx/1ZYzyMw/f9M8++yxOTk4YGRnx7LPPcvr0aRISEvjss89wd3cnOzublpYW3nzzTY4cOUJlZSUhISE0NTXR0dFBdXW18M/q4uKCiYkJ586dY+HChSgUCmQyGY6OjkycOJFTp04xMjKCSqVCKpUyNDSEQqFg4cKFuLi4UFpayuDgIDU1NYKL0f3799FoNGRnZxMQEIBEIsHDw4OPPvoIU1NTwaLu6NGjSCQSjh8/Tnx8PDKZDFdXV7777jtaWlro6urCy8sLiURCXV0dMTExKBQKwsLCiIuLe9TT8asSExODvr4+5eXl9Pf3093djU6nw8XFBWNjYywtLVm0aBHvvfceDg4OiEQiTp8+zb179/D398fPzw+1Wk1hYSFTpkyhrKyMGTNmMGHCBC5evIi1tTXW1tZkZGQQHx/PsWPHOH/+PDY2NpiamqJWqwkODqalpYXy8nIWLFjA4OAgZmZmmJiYIJPJkEgkFBUVMXfuXKZOnYqBgQEBAQG0tLQQFRWFQqHg3r17zJ8/n2eeeYYTJ05w//59wfxEpVJhYmJCa2srN2/eZGhoiAsXLnDnzh3+Fda7/w7btm1r2bp1a8rf+9lomGWUv+HDDz+kurqalJQULl++zKVLlygsLKS8vJzOzk5CQkLIzMykq6uLffv28cYbbxAUFISPjw/l5eXAg3h1c3Oz0Imp0+k4e/YsU6ZM4YcffqCoqIhp06YxceJETp8+zZIlS2hoaMDHx4eqqioKCgqQSqWo1WrEYjGJiYmIxWIiIiIA6Ovr+0UoZdKkSdy4cYOmpiZsbW0pKiriu+++4/r166xZs0bQqO/u7hZ2o5s2bcLa2pq3334bgDNnzlBbW8uPP/6IRqPB1NT0EYz+b0t7e7ugua+np8fKlStJSEhgx44d9Pb2otFoOH78OImJiRQWFqKvr49UKkWlUlFQUEB1dTUWFhZs374dpVJJR0cHBw4cIDMzE2tra4KDgzE0NMTZ2Znbt29jYmKCRCJh4sSJFBQUYG9vz5kzZ6ipqWHdunUMDw9jY2ODo6MjQ0NDnDx5ks7OToaGhsjMzGTs2LEUFRUJie3Nmzdz+fJlYcOxZcsWAN566y3Ky8sZGBigvLwcBwcHZs+eTXd3N7m5uahUKgIDAx/l0P/mjIZZRvkbli9fzurVq/nwww/JzMzE1taWzs5OXn31VZqammhra6O7uxsHBwdhl/ZQSEsul/PEE08ICcygoCCGhobo7e3Fz8+P0tJSKioqCAoK4urVq0RFRfHll1+ir69PTEwMmZmZAERERJCTk0NsbCwnT55kyZIl1NXVIZFIMDU15eTJk9jb29Pc3ExiYiLp6ek8//zzpKamsmXLFgwNDcnNzSU/P5+QkBA8PDzQ09Ojs7OTrKwskpOTWb9+Pd7e3kRHRzM8PExycjISiYSPP/6YDRs2sHfvXl544QU0Gs0jnpFfj4ca9HZ2dly8eJGbN28KDVwlJSUAhIeH4+TkRG5uLhqNhsWLF6PT6WhpaUEsFlNQUEBXVxdbtmzh4MGDaDQanJ2deeKJJ/jkk0+AByWq3d3dgoR0YWEh5ubmWFhYUF1dzcaNGzl27BgKhQK5XC4oZM6YMYPc3FwGBgZITEwEHnRez5s3jytXrhAVFUV/fz8TJkzgxIkTPPfcc+zbt4+Ojg5kMhk9PT1MmzZNUOC0trZmeHiY1tZWenp6+J++zowKbY3y/wqZTEZwcDBlZWWYm2W+mhEAACAASURBVJvT2trKtm3baGtrw8PDg1mzZhEcHMy5c+eoqKgAEOLVr7/+OpmZmSQkJABw584dAK5duyZorFRXV6NUKhk7diyVlZVMmDABMzMzbty4gaGhIQCOjo5EREQgl8sxNDREqVQKBiA+Pj7ExsZiYGBAeHg4RUVFBAcHs3//fgCSk5P56KOPcHBwYPPmzRQWFpKamsqRI0eQSCTExcUJqo5KpZLa2loOHjxIUlISGo2G1157DQsLC5599lnmzp37u479b83DUFRaWhrFxcUMDw9ja2uLTqfD398fAGNjY65fv05wcDBisZiGhgYKCgpobGxELBbT1dVFREQEBw8eZOrUqTQ3NzN+/HjS0tKIiIgQSkBDQ0OxtbXF0dERuVxOV1cXGo2GtWvXkpKSglgsxtbWFisrK+bOnYtYLCYtLY0VK1bQ0dHBwYMH+fLLL1m3bh1lZWUsXryYw4cPk5GRwfbt23F2dubWrVssWLCAoaEhxGIxM2fOpLS0lK1bt5KTk8OBAwd44oknsLCwoKWl5RGP/m/LaGniKL9AX1+fp59+GltbW6ZPn05FRQV37txh8+bNwINdm4GBARKJhPHjxwuaKX/+85/x9vbm6NGjuLi4cODAAdavX8+5c+coLi5GqVQSHByMUqlEp9MJ7fTW1tYsWbKEHTt2IJPJMDIyYu/evVy4cIHbt2+jVCpJTEzkyJEj2NjYcP/+fcrLy+nr6yMxMVEobwwODqa4uJjExERu376Nm5sbV69eZfr06QAkJCSgVCqFpGtGRgbh4eFMnz6dZcuW0d7eTkZGBhMnTkShUCAWi1m3bh179ux5BLPw2+Hu7s7FixeZOXMmQ0NDaLVaQaZ48uTJ+Pr6olAoUCqVbNu2TTgNhYWF0d7ejo2NDQCXLl0iLi6O69ev4+/vLyRPb9++jYODA4aGhujr6wMPcjAeHh7Y2toSGBjInj17CA0NJT8/H6lUSnBwMHV1dUKncU1NDVu2bOH48eO0tbWxc+dOYmNj+f7771GpVMCDMF5aWhq+vr40NzczMDBAT08P6enpyGQyUlJSeOutt6itreXw4cPU1NQI1VOPK6M781F+gb6+PsePH2fy5MlkZ2fj4eHBE088gZubG/CgqqSmpgatVssrr7zC1KlTOXv2LOHh4fT19dHd3U1QUBDe3t7o6emh0+mQy+UMDw/T3d1NSUkJXl5exMTEoFaruX79OlZWVmzevJkFCxZgaWnJ8uXLCQ0NZc6cOYIl3erVq+no6GDMmDGEhoair6/PkSNH8Pb2BuDs2bOo1Wru379PQ0MDeXl59Pb2Ul5ezqeffvqLypmHBtNDQ0NUVVVx7tw51Go1Go1G0JKpq6ujqalJEA17XLC2tkYqlXLt2jVMTEzw8/MjMDAQMzMzJBIJ9vb21NbWMm3aNMrKymhvb2dwcJDU1FTggWFLXFwc/f39pKWlUV5eLrhyyeVyli1bhkQiITQ0lPT0dNzc3BCLxTg6OlJUVMTu3btZs2YN/f39rF27Fl9fX3Jzc1EqlcTGxuLg4EBeXh719fWIxWI8PT3R09NDrVZjbW2Np6cnMpmMtLQ0AgMDkUgkODs74+vrS319PZ9//jmRkZE0NzejUCioq6sjKCiI7u5uvv3220c8+r8t/9RiLhKJzEQi0WGRSKQQiUQVIpEoWCQSWYhEohyRSHT354/mf/X4P4hEoiqRSFQpEokif7vLH+XXZtasWfj5+TFhwgSioqLo6upi1apVaDQaYmNjOXr0qHAcz8zMpL6+HgsLC4yMjHjttddYtWoVJSUluLq6UlVVRXl5Oba2toSEhAgt+HV1dUydOpWoqChUKhXnz5/nm2++Yd++fUyfPp2QkBAhxLN48WLS09PZv38/UqmUBQsWkJWVRVJSEpMnT8bV1ZX169fT3NyMi4sLR48eZdWqVTg4OCCVSqmtreWNN94gKiqK5uZmTE1NaW9vJyIiQjgddHV1sWDBAiIjI4XF3NXVFWNjY3p6eh6ruvOgoCAGBweJi4vj0KFDJCcnY29vj6enJ9OmTaO2tpaEhATUajWA0Iy1cuVK/Pz8OHfuHBkZGcLzvfXWW0LIZs6cOfT19WFra0tqairx8fEAQtnqQwnlgYEBJBIJTU1NuLm5sWLFCurq6rh+/TqGhoZC0nxoaIgnn3yS5cuXY2trC0BPTw/R0dEkJSVRVFSEgYEBTU1NzJo1C0dHR1avXi3oABkYGPDkk09iZ2dHf38/AQF/N9T82PDP7sw/Ac6MjIx4Ar5ABbAJODcyMjIBOPfz14hEIm/gOcAHmAfsEYlE+r/2hY/y25CTk4OdnR0NDQ3o6+ujVCp57733WLFiBTExMVy8eJHKykrc3NyQSCS0t7fT1NREamoqQ0NDZGdnU1NTQ0VFBfb29qxcuZLq6mru3bvHqlWrmDNnDhYWFoKN2+uvv05WVhatra2EhYVRX1/P4OAgycnJ3Lhxg927d7NlyxZiY2OJjY2lo6ODqKgoZDKZEIbp6Ohg9+7d1NbWEhMTw9GjRykuLmbWrFm4ubkhlUoZHBzE3t4epVJJQ0MDWVlZxMbGUlJSgkaj4dKlS2RnZ7N582a2b9+OiYkJP/74I2KxmOrq6kc9Lb8aTU1NtLS0kJycTEBAACYmJmi1WpRKJSUlJYIipZubGydOnABgypQppKSkUFlZyeTJkwkJCcHf3x+pVIpOp2PhwoWEh4dz4cIFUlJShNLCtLQ0xowZg6urK7t27SI/Px8rKyvBjjErK4umpia2bt2Ks7MzcrlcqCCaOXMm1tbWmJqacuXKFcrLyxkeHsbR0ZFLly6Rnp6OXC7n8uXLiMVi9u/fT29vL2FhYRgZGTFmzBgGBwepqKhAoVAACPLHjyv/18VcJBKZAmHAPoCRkZGBkZGRbmAB8PDc8i2w8OfPFwDfj4yMaEdGRmqBKuDxrgl6jJDJZJw8eZKCggJSUlKoqqoiPDyc69evs3r1asaNG8ecOXNITU3Fzc0NtVrNtGnTAEhLS8PW1pb+/n6Gh4extrbm1q1baLVaFi1aRGZmJocOHSInJ4fm5mYMDAyExNucOXPIz88XjtZhYWHU1NTw1ltvcfnyZc6fP88nn3zC3bt3uXbtGtu3b0en02FhYcFTTz3FlStXsLe35/z583h4eODr64tYLKa0tJTe3l68vb3p7++nsLAQFxcXXFxc6OnpAaC2tpZLly4hk8no7u7miy++YNOmTYLk7sPHPQ6Ym5ujUCiIj4+ns7MTCwsL2trayM/PF5p/QkNDKS8vp6WlBScnJ3bu3IlcLmdoaIjKykoKCwtRq9UEBgZy4MABGhsbaWlpYcaMGQBCSEYul2Nvb8++ffsEL1YnJycMDAw4c+aMYGZiaWkp+MMWFRWxdu1azp8/T15eHn19fYLBiIuLC52dnZiYmDBlyhTGjBmDiYkJJ0+e5P79+4wbN478/HzUajVKpZKzZ8+i1Wq5cuUKbm5uVFVVPcqh/835Z3bmrkA7kCoSiW6KRKK9IpFIAtiMjIy0APz80frnxzsAjX/1+00/f2+Uf3GWLVuGVCpFT+/B2yI+Ph5TU1NMTEx48skniYqKwtnZWYhXenp6Ag+SasbGxjg5OdHT0yMknrZu3UpPTw8rVqxAoVDg7OxMYGAgYWFhgp3bnj176O7uJioqihUrVqBWqzE1NUUikeDq6sr9+/eFeKmbmxsqlYrZs2czc+ZMVq1aBcC+fftIT0/H2dkZGxsbmpqaWLJkCUeOHEEsFhMdHY1Go8HV1ZWNGzcCUF9fT35+PnFxcbz22mvMmzePiIgI4Xneffdd4e97nMIsycnJJCUlceDAAZRKJUqlkokTJyKTyfD09CQ+Pp60tDRKSkp42MgXHh6Oj48PmZmZfPnllyQlJeHp6cnt27cJCgpCLBaTlZVFZmYm5ubmbN68GZlMhpWVFc3Nzaxdu5aenh5KSkowMzNjcHCQmJgYdDod8fHx3L9/H2traxwcHFizZg3m5uYUFhYC0NzcTHZ2tlD3/rCePDo6Gh8fH9RqNd7e3gwNDREUFISvry8SiYQpU6bw+uuvY2BgQH19PV5eXixZsuRRDv1vzj+zmBsA04DPR0ZG/AA1P4dU/gF/TwDhb4rZRSLRSpFIdF0kEl1vb2//py52lN+W9PR0pk6dSnx8PGKxGA8PDxQKBd9++y2VlZX09/djZWVFR0cHlZWVNDc3U11dTUlJCQkJCdTU1NDT08NPP/2Ei4sL9vb2zJ49m59++okZM2Zw69YtlEol/f39lJWVcfLkSQD8/f3ZsWMHt27d4vr162RnZ3P16lWeeuopsrKycHZ2ZnBwEC8vL0pKSrh69Sp5eXnCKaKiooLJkydTWFiIhYUFhYWFvPPOOzg4OHDu3DnOnj1LZ2cn8EA8TCwWs2jRImQyGe3t7dy6dYvx48dz9epVurq6KCwsxN3dHVNTU3x8fLh06dKjnJZflfDwcFpaWvD392f27NmoVCo6OjqEEs3y8nLBO7W+vh57e3vy8vLIzs7G3NycP/zhD6SmpuLq6kpQUBAnT55EIpGgVqtRq9VERESwc+dO/Pz8KC4uZt++fbS1taFUKomLi6OiogKlUklVVRWzZs3ixIkTREZGEhwczMyZM1GpVIKq5kNdndbWVlJSUnjxxRdJT08HYOvWrWRmZhIbG0t5eTmzZ8/m6NGjTJs2jaeffpq+vj4OHz6MSqXCyMgIZ2dnxo4d+4hH/7fln1nMm4CmkZGRH37++jAPFvd7IpHIDuDnj21/9Xinv/p9R6D5//mkIyMjKSMjIwEjIyMBD7U7Rnm0BAYGYmpqioeHB66urjQ2NrJu3TpaWlowNDREq9VibW0txDY/+eQTBgYGaGxspKamBldXV2QyGZaWltTW1jIwMMD169dpamriD3/4A3K5HGdnZ+7evYujoyPh4eGEhYUhl8vZuXMnxcXFhIaGYmlpSVdXF5WVlQwPDyOTyWhqauLkyZNs3LgRKysrwsLC+OKLLwgLCwPAw8ND2NFt3LgRPT09iouLSUpKYtGiRQQFBVFRUUFBQQEKhQJLS0vGjBkjxM81Gg1WVlYkJiayfft2Ll68iLOzMwqF4rE6nltYWHD8+HHs7OzQarWkpaUxd+5ckpKSBLcne3t7ampqOHLkCKampsjlclauXIm+vj7h4eH4+/uTmpoqaPc8nMf4+HgOHz6MsbHxL16zvb0dU1NTzMzM8PLyQqfTIZVKSUtLo6Ojg7a2NvLy8rCzs0OtVqOnpyfcZCQSCS4uLsCD5O3q1asJDw9HIpGwZs0aLCwsCAkJobGxkaGhIUpLS0lPT+fUqVM0NDQgFotxdXUlNzeXo0eP/u7j/Xvyf13MR0ZGWoFGkUjk8fO35gDlwHFg+c/fWw4c+/nz48BzIpFILBKJXIAJQNGvetWj/CaUlZVhYmLCO++8g52dHffv3+eTTz4ROj0fCl3NmDGDwMBA9PT0kMvl+Pj4oFQqUalUTJs2DXt7e+zt7YWaYKVSyaZNm7C3t6exsZH58+fj5OTEzJkzuXLlChMnTmTLli24uLiQn58vLAZDQ0NERUVx9+5dVq1axfbt29m1axd2dnZMmTKFRYsWkZ+fT29vLxkZGUydOpWkpCQOHz5MZGQkS5Ys4fz58zQ1NfHxxx8TFBSEQqFg5cqV1NbWCnXPzc3N5OfnU1RURGNjo1AHPTAwgKWlJY/TZuPatWu88sorwsno2rVr7Ny5k9u3b3Pp0iXy8vIIDw/H0NAQQ0NDiouLiYiIoLOzk/nz52NsbMzLL7+MWCwWwhbV1dWEhoZy9epVli5dSn9/P2KxGLlcjq+vL/7+/lhYWHDmzBk6OzsJDQ1lwoQJGBsbEx4ejkwmY2hoiPLycqytrZk1axYvv/wyY8eO5emnnxbmNT4+ns2bN1NUVERYWBjZ2dmkpaXh4eFBZ2cny5cv5+bNm/j6+jJx4kQiIiK4efMmnp6eODk5CU1njyv/VDu/SCSaCuwFjIAaIIkHN4IMQA40AM+OjIwof378fwAvAYPAv42MjGT/n55/tJ3/XwMTExMcHBxYtWoVqamp+Pn5IZFIuHXrFs899xwpKSlCZUBCQgL9/f1kZmaybt06Dh06hJ+fH9nZ2axcuRITExMsLS25ceMGN27coKGhgcDAQEJDQ0lNTaWvr4+5c+dSX1+Pg4OD8I926tQprKysaG9vR6fTERYWhkqlQqfT4efnx9mzZ9mwYQNarZY9e/bQ2tqKoaEhU6ZMobi4mLi4OPLz85FIJAQGBjI0NCSU0j2M02dmZuLm5kZYWBg3btxg2rRptLe3k5uby4wZM7h58yZGRkaCkfRDI47HAS8vL/z9/Tl37hyurq5IpVImTpyIRqNBrVbj6urKjh078PX1paGhga6uLlxcXFiyZAk5OTlCy//WrVs5ffo07e3tDA0N4ePjw5gxY9DX1+fHH38kOjpaEFabNWsW6enp2NnZ4e7uzvXr13+h4fOXv/wFrVYrNCT19PQgFouZMWMG5ubmtLW1CeGVpKQkqqur6e/vRyKRYGxsjJmZGfX19UKXcGlpKTqdTpCCiI2NFTRh6uvrH83A/0r8tz1AR0ZGbgF/7wnm/IPHvwe8909f4Sj/EpiYmKDRaATHnQMHDhAWFkZTUxMKhQKFQoG5uTmzZ89GrVZz+/ZtFi58UMS0dOlSQZWwu7ubKVOmsGfPHvr6+pgyZQpWVlYUFRVhaWmJvr4+EyZMwN7enps3b6LRaAgKCqK1tZWYmBhqa2sFt5/bt2+zefNmtmzZQkBAAFKplI0bN+Lm5kZQUBDHjx/H0tKSsrIybG1t6e3tBR4sWnl5eTg4OKCnp0dkZCRtbW3IZDIAxo4dK1RdPMwHmJubo1KphJtHSEgIFhYWLF269BHMxm/DQ2Esb29vIS/Q0dFBbW0thYWFxMfHk5CQIJyyrK2tKSsrIy8vj3v37mFsbEx/fz/l5eVMnjyZK1eu4Ovri1wu58SJEyQlJZGTk8NXX30lyBb7+fmxc+dOamtrUavV1NfX4+bmRmRkJHp6emi1Wvr6+pg5cyZarRaFQsGMGTOEpPn58+dxcXFBo9HQ09PD5cuXBSvDp59+mvT0dOLj44WkaWxsLEqlUtDWF4vF5OTkCAYljyuj7fyjCERHRzN16lR6enqEEMng4CCOjo4UFxfj7e1NeXk5t27dYvLkycADDZUrV65QVFREVFQU06dP5+DBg+Tm5tLW1oaBgQFXr14lMTGRNWvWsGLFCgBUKhV9fX20trYil8vp6Oigp6dHMGNet24dGo2GnJwcFAoFKpWKxsZGqqurcXFxITAwkJKSEiwsLGhtbSUiIgI7Ozs8PT3Jzs7m7NmzvPrqq7i6uvLTTz8xbtw4zp49S319PcnJyXz//fcsWbIER0dHdDodJ0+epKmpCYlEwq5du9i7dy92dnacOXOG3Nxc/vCHPzyaSfmVUalUyOVyxo8fT11dHX5+fkilUry8vHjiiSf47LPPGB4extvbm8bGRmHsfH196e7uRk9Pj+bmZvT19RGLxXh5eWFsbCyEtnbt2kVXVxdvvfUWeXl5gsaNsbGxIL07NDREdXU1d+/e5YknnqCrqws9PT2ysrIwNjYWNOpbW1upqakhNDSU2tpaoeb86aefRqlUolaraWtrIzw8nNbWVuLi4gQNmIdesufPn8fIyIjg4GC0Wu2jHv7flNHFfBSBjIwM1Go1p06dQiqVIpPJCAoK4vLly9jZ2XHjxg08PT1Zv349f/rTn/Dy8mJgYIDKykqioqLIzs7m5s2bODg4kJWVxZo1a7h3755g93b27FngwRH9hx9+oL6+HqlUKuzKPT09haSlo6OjoAfzxRdf4O3tTVFRkaDup6enR2BgIN3d3cTExJCbm8uxY8c4ffo0enp6vPrqq7S1tXH8+HF6e3sZGhrCyMhI8Czt7Oykr6+PzMxMFi5cKFQ9VFRUsG3bNvr6+rhy5QobNmx4rBJna9as4ZNPPhGMHR4mNTs7O/nkk08wNDQkKSmJgoICnJycmD59Ol999RVarZaoqCgmTpzIpUuXaG1txdjYmIKCAlpbW/H392dwcJCIiAju3LlDVVUVEomEnJwcXFxcWLVqlWBq8dB4+7nnnqOiogKJRIJGo8HX1xd3d3eOHDlCSEgI8+bNo62tjatXr+Ll5YWrqys1NTVIJBLu3LnDggULOHbsGHZ2djg5OTFp0iRaW1s5cuQI27Zt48033+SZZ56ho6ODzMxModT0cWVUm2UUgbFjx1JbW4tOp2Py5MksWLCA5ORkAAICAvDw8OD+/fvs2rULqVTKpUuXuHz5Mnp6emRnZxMWFkZMTAw+Pj54e3uzZ88e9PX1MTc3586dOxgaGuLv788PP/xASUkJkyZN4rXXXhMcaB4Kd7W3t7N48WJCQ0Nxc3MjOjoamUxGRESEsLuqrq6mo6OD/Px8/v3f/52srCwsLCwAGD9+PLt376apqQlHR0c+/fRTLl68SEJCAlKplMmTJ/Paa68xadIk4IEzUUhICP39/Wg0GpKTkzlz5gzZ2dlUVlYKzTCPA4cOHUIqlRISEoKrqytTpkwRygu3bNmCTqejoKCAt99+W0gGx8XF8eKLL3L48GEuXbokKGWmpqbS2tqKRCLB2tqavXv3YmlpSUtLC3fu3MHZ2ZmEhAQsLCyEsEdPTw+mpqbk5OSwc+dOjh49ikajYdy4ceh0Otrb29HT0+Pq1auo1WokEgnd3d2CRo+FhQUHDhxAJpOxf/9+XnnlFTo6OqiqquKdd94R5Hn/8pe/8PTTTzNu3DgAQfv+cWZ0MR9F4GFLt56eHnl5eQwPDyOXyykqKuL777+nrq4Oc3NzxGKxEH++e/cuSUlJgtGzTCZDoVAICa7KykqKiopoaWmhuLgYNzc3ysrKiIyM5OzZs+zcuZPh4WFqa2vR19cXEmTz588nLy+PyZMnk5ubS1VVFUZGRqxYsYLdu3cTFhZGTk4OYWFhWFpasn79empraxkaGhL0xwsLCwkKCuLLL7/E1dWVffv2sWPHDjZs2MCOHTsYGBggPDycH3/8kZs3b5KYmIhKpeLGjRts3LiRhIQEfvrpJ27cuPEop+VXpbOzUwihPcxXFBUVcfPmTWHOxGIxH3zwAU5ODyqMCwsL+frrr9m4caMQIjE2NhY0enx9fbGysiIyMpLdu3fj4+PD2LFjMTY25vTp09y8eZOioiIUCgWXLl0Sav5feOEFzMzMGDduHIaGhnh5eeHs7ExQUBDR0dEoFAqKi4sFo4nDhw9z7do1tmzZglgsZnh4mKKiItavX09ERATe3t7odDoSEhLw8/PD29ubvXv3YmBgIFTWPM6MLuaj/IJPP/2UOXMe5LVTU1N5++23iY+PR09Pj6GhIeDBDr6urg6dTsesWbM4duwYDg4OrFixgqamJkpLSwVHIHt7e6ZMmYKTkxPW1tZcvnyZl156icrKSqRSKYaGhrS0tBAREcGOHTu4du0aQUFBvPnmm8hkMhobGzExMSEy8oFe24YNG8jLyxNEsrKzs9m1axdnzpzB0NCQvr4+IQn6MH4KD472CQkJvPHGG/j6+mJnZ0dJSQl5eXn8+OOPzJkzh7/85S+Ym5sLtecqlQpbW1uuXbv2u87Bb4m+vr4gdqZSqTA1NUVPT4/CwkK0Wi1btmyhpKQEFxcXbty4QUREBL29vSxbtoysrCwiIiIIDAzExcWF0NBQDA0NuXfvHgUFBWRnZ+Pr60tjYyOenp7cvXuX1atX8/rrr3PlyhVWrVrFq6++ypgxY7C1tcXCwoLw8HBWrVolKFgeO3aMO3fu0NbWhqmpKS4uLlRXV6PVanF0dMTR0RFnZ2fCw8PZuXMnDg4OwnuxvLycuLg4xo8fz44dO9ixYwfDw8NYWVnR399PXV3dox7+35TRxXyUX1BSUkJNTQ2ff/45AMePH+fMmTN4eXnR0tJCX18fRUVFeHh44OHhgUqlYt26dUybNo0zZ86QlZXFlClThPjolClTMDY25vLly8ycOZOBgQFOnDhBd3c3DQ0NrF+/nhdeeAF4sPg2NTVhampKXV0d3t7eKBQKurq6uHHjhlDV8PCYDw8SpZ9++inl5eXodDp0Oh3/8R//gaenJ/PmzePIkSNERkZiYGDA3bt3eeuttygpKaG+vp7u7m5sbW2RyWS0tbXx0ksvMXXqVKEpJTc3F0NDQ9atW/f7T8RvhFgsxsbGBrVajU6nE7RYnnnmGa5fv05mZibh4eG/MOWIjo6moqICAwMD1q9fj7W1NV9//TV79+5l1qxZLF++nOrqakGp0N/fn7KyMgwMDGhpaaGnpwcfHx/GjRuHRCIhPDycZ555hjfeeIOuri5SUlJYt24dJSUlTJs2DbFYzM2bN7l9+7Zwg7CxsaG2thalUsmKFStIS0sjOTmZ8PBwdDodlpaWeHp6snv3bvbv38/27duBB5LHRUVFXLhwQTiRPK6MLuaj/ILFixdjaWlJeno6ERERzJgxg6CgIIyMjNDpdAQFBeHi4oKHhwdVVVVMnjyZ999/n9TUVKytrYU4Z3h4OImJiXz33XcAvPjii3z77bdoNBrh+B4VFcXu3bvZu3cvUVFR2NraMjw8TFpaGjU1NeTn5zNv3jx27tzJ0qVLBf2Nv9ambmlpQSKREBERgUQiQSKRkJWVJZgdAHz++efCApGfn49MJkOtVjN79mwCAgKEGO7Zs2extbVFq9Wye/du+vv7uXTpEh988MGjmYzfAHd3d6ytrent7cXT05PAwEDUajU2NjZERUUJ9drNzc2sWLECiURCWlqaIJPg6+sruEoFBgYyODjIO++8Q3x8PCqVCo1Gg7GxMUqlkqKiIhwdHfnhhx+Ijo5m165d7Ny5U1DDzMzMZN++fYwbN46PP/5YMBB5qL1iYGDAkiVL6OrqEhrJHuqbA2g0Go4e59SOPQAAIABJREFUPcr+/ftpaGhAoVAwf/58Vq1axfjx4wHIz89HoVAQExPzaAb8d0T/X8GtOiUlZetDUZ9RHi2zZs3C3d2dwsJCWlpakMvlHD58GHt7ewwMDGhoaBAUDw0NDcnOzkZPT49x48YJ1QwnTpxAoVAglUppbGzk3LlzWFhYCPHOzz//HHt7e8zMzOjv72fq1KlcvHiR2tpaHB0dmTlzJjNnzsTT0xONRkN1dbUgLdDY2MjAwIBQmubp6cmZM2dwcHBAp9Oh1WoJDg6mp6cHPz8/jIyMCAoK4tq1a3h4ePDkk08yYcIE7OzsuHDhAl5eXkJ3Y2lpKSEhIeTn5zNz5kzu3LlDZGQkzz777KOell+N1atX09rayuLFi8nLy0OtVuPg4EBvby/p6ekMDAxw7949hoaGOHDgAFqtlv7+fhwcHPD29sbGxobGxkZsbGwYGhpCp9Mxf/58UlNT+eMf/0hDQwNNTU3cvn2bZcuWcefOHVQqFYmJiZiamlJcXCwkXj/66CO+++47Ll++zPPPP8/nn3+Oo6MjLS0tLFq0iIkTJxIUFIShoSHffPMN4eHheHp60tfXh6WlJVVVVTz11FNYWVlRWlpKX18f4eHh7NixA7VaTWdnJ25ubvT29tLS0sLQ0JAgtPY/lW3btrVs3bo15e/9bHRnPsov+Omnn6iqqsLHx4fo6GgKCgpwdHREoVCg1WqRy+V4eHjg5uZGZWUlSUlJODs7s2/fPhQKhdCpFx8fL1SwrF27VtCSNjExQSqV4uTkxMmTJ3nhhReYMGEC5eXlQsOOiYkJx44dQ09Pj/T0dMaNG4eFhQXff/89Y8eOpbOzU1A3lMlkLFq0CHt7e2JiYpBIJGRkZHD06FHS09OJi4sjPT1dCN188803GBgY0NjYiLOzMxkZGVy+fJmWlhaamppISUlh2rRpeHp64u/vT2lp6aOcjl+diRMnAgjOSw8VBzMyMoTSPU9PTyGUZWJiwtDQECdPnqSkpISMjAxqamowMDAgMDCQBQsW0NDQgIuLC88//7zQfPQwri4Wi5k0aRLvvfeeYDqhUqk4cOAAAQEBvP766ygUCnbt2kVycjIWFhb4+/tTXl7O0aNHOXr0KOfOncPExITBwUE+/PBD4WQH8PXXX5OXl4eNjY1Qvurp6UlRURFarZby8nICAwN59tlnhfzJ48roYj7KL3B3dyc2Npa+vj5B8zsuLo41a9bg7OyMVqvF3d1dkJnNz88nICCAf/u3fxO0Nh7uhsLCwnBwcBCMKOCB7ZizszNnz55lyZIlHD16lD179nDhwgViY2MZN24c1tbW1NTU8OGHH+Lm5kZJSQnW1tZERUVx69YtYUHSarWCSJOjo6Og3hcZGcm7776LhYUFjY0P1Jjb29uFXeiePXuwtrbGw8ODuLg4QkNDqaio4N1336Wrq4tx48YxceLEx1IyVaFQYGJigrm5Od7e3qSnp1NWVoZcLmf+/PkkJCTQ3d1NQEAAERER/PTTT4SGhrJ27VrggaiWq6srbW1tglF2S0sLpqamwg1QLpfT3t5OSUkJWVlZnDp1isDAQGpqaoQW+7Vr13LhwgVeeeUVkpKSMDQ0pKOjA5lMRnFxMR4eHkLJq7m5Ob6+vlRWVrJw4UKuXr1KQEAAMpmMefPmoVarkUqlgqCXRCJBpVKxadMmkpKSuHPnDrdv337stVlGF/NRfsHy5ctpaGjA0NCQnTt34uzsTGlpKRs3bhRCGy0tLbS0tKDT6XBwcGDfvn1oNBpiYmK4cuUKU6dOpaysDEdHR0pKSgSpWplMxvHjx1m+fDnx8fE0NjZSUlKCm5sbu3btYsyYMcyePZvPPvtMkCs1NDREo9GgUCjYu3cvUqkUlUpFeHg4UqmUsrIyWltb2bVrF5WVlURGRlJTU8OpU6eYO3cuZ86cob+/Hzs7O6Fefd++fcjlcnJycqisrGT27NmUl5cjkUj49NNPycvL44033iAnJ+cXydbHhebmZrq6upg3bx56eno4Oztjbm7OsWPHUCqVgnxBVVUVkZGR5OXlUVZWhlarxdjYGK1WS0lJCXV1dYjFYiQSCX19fdy7d48DBw7Q0NBAfX29UP0UFxfH7t27efnll2lsbMTFxYXdu3fj5ubG6dOn2b9/P3K5nHv37mFubo69vT0ffPABw8PDhISE8PTTT5OdnS1cZ0JCAt9//z0ajYasrCwMDQ2JiYkRQjRisRiAixcvcuXKFRYvXoyHhwcbNmx4ZGP+ezC6mI/yC7Zs2cKhQ4fQ6XRERERQV1dHdnY2oaGh3Lt3j0mTJgl639euXRMc2OVyOUZGRmzevJmenh6GhoY4ePAgbm5uaDQaEhISWLlyJa2trULycsKECcADXRczMzNkMhnnz59neHgYrVZLcnIyCoWC7u5uampq8PPzo7OzE6VSiYGBAdnZ2YKsAEBWVhbHjx+nvLyc8PBw0tPTcXJyIikpCTc3N4qKipBIJHz77bdIpVK6urqEqpyH5XpXrlyhtbUVZ2dnwQfzcWLFihUkJiaSnJzMzZs3mThxIiqViunTp1NXV8dzzz2Ho6MjNTU1zJgxg6NHj5KUlMTFixcZGBgQHr9u3TrEYjEWFhYMDg5SXV2NnZ2doILo6enJxYsXCQsLE0Jvn332GTNmzKC7u5vY2Fju379Pe3s7ixYtYurUqVy/fh2VSsXAwIBgZ3fjxg127NhBVFQUarWa1NRU7ty5g4mJCc899xzffvstkZGRQiy8rKyMOXPmIJfLCQ4O5j//8z85e/Ys6enp/CvkB39LRtv5R/kbnn/+eRwcHLh9+zZ+fn4sX76cvr4+8vPzmTBhgtC63dvbS15eniB6JJFIKCgowMfHh6CgIIaGhjh//jwbNmwQ/pEemgWnpaUhlUrx9vZm//79DA4OYmZmJnR43rlzB4C1a9dSWlqKs7MzxsbG3L17l66uLnx8fHBxceHu3bvY29tjZ2eHm5sbxsbGgr56XFwcmZmZxMXFYWxsTFBQkCB3q6+vL1TAvP/++wCC442/vz/BwcGCH+XjhE6nAx74YTo7O2NgYEBbWxsVFRUsWbJEsIurrq7G39+fdevWkZOTw6ZNm7hy5QrGxsZcv34drVZLb28vPj4+fPfdd4SFhTFp0iS++OILhoeHWblyJS0tLfT39zN37lxOnjyJs7Mzu3fvRi6XY2BgwIwZM7Czs6OtrY3Tp08zc+ZMlEol1tbW+Pr6cvHiRQIDAwUruJs3b+Lt7U129gMR1unTp7N8+QMV7ocSEYsWLeK9995jeHiYlJQUOjo60NPTIz4+nra2tn84Lo8DozvzUf6G/fv3Y25uTlBQEPb29pw+fRoTExMSExP5+uuvmThxImq1mo6ODtzc3DAyMqKhoYG8vDycnZ0JCAggJycHS0tLbGxs2Lp1K5s3b+bzzz8XzH7XrFnDjBkzqKmpEV5XqVRiYmICwPDwMFu2bOH8+fMAXLp0CYVCwYoVKwgMDMTS0pLu7m7y8/Px8PCguLgYOzs7Tp8+TV5eHjU1NRw4cICYmBiqqqoEh6O6ujr09PSwt7dHrVZz5MgRLCws0Ol0NDc3c+jQIQYHB2lqauK99x4/4c9jx46xYMECVqxYgampKebm5jg5OZGXl0dhYaGwi4YHWjoffvghDQ0NdHd3k5eXR0NDA8888wxisRiVSiV0fDo7O+Pu7o5UKsXT05Ovv/6a7OxsDA0NuXHjBra2tqjVakEHxsjIiNjYWL766ivgwc3FzMyM/Px8XF1dOX36NM3NzUKyMz8/H0dHR2xsbPD39xdqzZOSkrC1tcXIyIiysjLGjBnD8PAwSUlJeHt7Aw/eS6dPn8bDw+NvB+QxYnQxH+XvcujQIZRKJb29vdy9e5fdu3dTVlaGj48PZ86cYWhoiNjYWKqrq7GysiI2NhaJREJjYyM7duzg2Wefpbm5mdmzZyOTySgtLWXbtm0cOnSIzZs309HRwZQpU0hISMDc3Jzm5mbkcjkqlYq33noLqVQq2Mk9rHDJz8/nm2++oaenh87OTkGIS61WExUVRU9Pj7CY9Pf3k56eTkVFBffu3UMsFnP8+HE0Gg1Lly5Fp9OhVquFxJqPjw9ZWVksXbqUkpKSx0pc669RqVQsWbIEFxcXurq6yMnJYcqUKUgkEpycnGhraxOkjh8akLi6ugpdm+np6cydO5fw8HDWrVtHREQEHh4epKWl8V//9V/09fVhamrK9OnTcXBwoKSkhLlz59La2kpAQADR0dHMmzeP4uJiCgoKCA8PF05Dt27dYt68eVRUVPD+++9jaGhIc3Mz5ubmQjVUXl4excXF6Ovrs2TJEtrb24Xw3owZM+jt7WX9+vVkZ2dja2uLm5sbbm5udHV1PZYnrb9mNMwyyj/E1NSU0tJSurq6WLFiBffv36e6uhozMzOKi4vx9fVl5cqV6HQ6enp6iIiIQKlUCpZtADExMezZs4fGxkbee+89VqxYwUcffYSVlRUZGRm4ubmh0+mEXRTAhx9+KLgOVVVVsWrVKurr64XytJKSEu7fv4+7uzvwoJROJpNx584dfvrpJzZt2sTRo0fZsWMH8CCJOjQ0xKJFi2hqasLBwYFvvvmGyMhIwarMx8eHtrY2/vznP2Nvb//7D/bvhL+/v9DSn5ubS1JSEjt37iQuLk6oxS8qKhKaicaPH09xcTFlZWX09/ezefNmLl68iFQqJT09HblcLnh/Wltbo6+vL7TNP1TBtLa2RiqV0tDQQEFBAVqtltbWVpqamhgcHBRyF6WlpYLZyc2bN4WbTFdXFyEhIULTkoGBAQqFgvz8fAwNDVm0aBEvvfQS33//PVqtloyMDMFlysHBga6uLtauXfvYGIz8I/4pp6HfmlGnoX9d3nzzTZKTkwkMDKSvr4/x48cLicGHFm8bNmwgOTmZgwcP0tvby8cff0xVVRV2dnbCzu5hbTc8KI97eOS2sLDg/PnzLFy4kAkTJpCZmSks2Bs3bmTfvn3MnDmTzMxM7O3taW5uxtPTk8jISKqrq8nLyyMmJgZDQ0MKCwuJiYlh9+7dyGQynnjiCWbNmsXbb7+NpaUlQUFBmJubM2fOHHbu3EloaCgpKSmEh4eTl5fHvn37yM3N5eDBg49yyH9TZs+ejbOzs1CdUlJSwpo1a/jiiy/YtGnTL/xODQ0NOXv2LOPHj8fCwgKZTIaxsTGmpqZcvnyZJ598Umga0+l0NDQ0oKenx/DwsNDR6+joyLlz5wgJCaGhoYHDhw8zefJkli5dSlpaGv7+/rS1tSGRSHB1daW/v58vvviCyMhIOjs7aWpqQqlU4uzsjLW1NSqVCnd3d8rKypg9ezZ79uxBKpXi4eFBQ0ODEPLz9vZGq9UKPqLwoIrnX2G9++/w33YaGuX/v1y8eFFoAIqLiyMjIwNfX1+qq6sFF5f9+/fj7u7OzZs3GRgYQCwWMzg4KOysvv32W5KSknB3d+fDDz8EHtQrBwYGUllZiY2NDefOnaO0tFTYZRsYGPDJJ5+wbds2Pv74Y/T09Fi2bBkKhQKxWExfXx+enp60tbWRn5+Pl5cXvr6+gnxAXFwcX331Fbm5udjZ2dHQ8L/bu/eoqM7z0ePflzui3OSm4jgDCEpiRkGp8CMoXpJoUFFTllSOhqpdCcfYRpNja1aMWaYkNPasE2utsRqrqYkhUUmCiuJd8IJAVAQhMgxyx0EEBOXqPn8M7mPPiUnb04gZ389arpn9Dlv3fpx52PPu932fCoYNG8b58+epq6ujqKiI1tZW9Ho9BQUFLF++nEWLFhEREdGX4f7RDR06lLa2Nnp6etRqQxs3biQqKoqGhgaysrLw9fVl6NCh5OXl0djYyJgxYygtLcXNzQ2TycS5c+cIDAwkPT2dhQsXUlJSQmdnJzNnzlR/wdbU1HDgwAH1/7K2tpa4uDju3r2rFhW59x7S6/W0tLSwa9cuHB0dSUxMZM+ePcTHx+Pl5cX169fVyUDDhw/H29ublpYWjh49yq9+9StsbGzYs2cPTk5OGAwG5s+fz8GDBxk1ahQGgwGtVovJZCIsLKyvw/+jklfm0vdydXXFysqKxMRE9u/fr44rPn36tFpT09nZmW3btqHT6aiqqqKrq4vQ0FC0Wi0tLS0EBQWxYcMG9Ho9CQkJtLW14e7uzokTJwgNDaWgoICcnBxGjRrFt99+S21tLXfv3iUsLIzm5ma1rFhDQwNarZaioiL69euHXq+nurqa0aNHU1tbS1NTEz/72c9oaWnBwcEBo9GIu7s7/v7+ZGZmUlRUxIgRI2hpaaGmpgZ/f38aGhr+YQGmR+Hz8GOys7NDo9FQUVHBoEGDCAoKIjMzU33d39+fkSNHkp+fz0svvcTatWsZN24cQUFBlJeX4+npiaurK11dXRw5coRXXnmFq1evsnnzZnV/e3t7dTTUzJkzuXDhAmDudrG2tqaqqorMzEyCg4MZMmQIJSUl+Pj4UFZWxvLly6mpqSEnJ4eenh7y8vKwtbUlJSWFt99+m5iYGHbu3EloaCilpaU0NzezaNEiDhw4wKpVq1i6dCkpKSls2rQJZ2dngoKCSE1NZdq0aRQWFlp0DVB5A1T6Xk1NTdy8eZMvv/wSnU6nXtmlpKRQXV3N7t272bZtG0lJSdy5c4fw8HB134EDB5KZmalOHS8vLyc7O5uenh6WLVuGt7c3n332GZ999hmBgYEUFBRw/fp17O3tCQkJobu7GycnJzo6OrC3tycmJga9Xq8W621ubqauro6MjAx1JMz9NUa9vLzo6emhqqqKwMBA9Ho9t2/f5sUXX0Sv16sFOACLr0JzT0JCAgaDgeeff56nn36aoKAgoqOjiYiIQKfT4e3trS66tXr1ahITE8nPz1drvqampqrdZRUVFfzpT3/i888/x83NjaVLl+Lq6kp4eDjBwcE8//zzXL58mSeeeILhw4eTnZ3Nnj17yMzMJDY2ltraWp555hlu3LiByWRi/vz5nD59Wp1QlJeXx+DBg5k4cSI1NTU4OTmRl5dHTEwMQ4cOVX8J19TUcPfuXf74xz8SHR3Npk2bAPMKoMHBwUydOpVvvvnGYkr/PYhM5tIPUhSF0tJSrl27xqVLlygqKmLTpk34+fkB5i6TAwcO4OjoSHt7O8HBwVy6dInLly8zf/58Ro0apXafODo68t577xEWFsbGjRvV/kxra2tGjRpFcHAwGo2G/Px8ysvL8fHxUWdoenh4sGPHDuLi4rh8+TJLlixh3rx5REVFMWfOHPWmq8FgYM2aNaSlpREYGEhAQABpaWk8+eSTNDc3U1RUxMWLF9VZjC4uLtTX11v8VTmY16i/d7O5sbFRXQ4hJiaGgIAA7O3tGTZsGPX19YSGhnL58mVCQkIwmUx4eXmRnJzM6dOncXR0JDY2lsWLFzN16lRGjhxJSUkJXl5eHD9+HGdnZ7Zu3Up9fT3Hjx8nLy8Pb29vgoKCmDp1KkajUS0gHhAQwPjx42ltbSU9PZ2IiAjOnj2Lg4MDNTU15Obmqks2WFlZUVlZSVZWFhqNhtjYWNzd3Vm4cCG1tbXU19ej1+u5fv06Go1GLX0XFRXFmTNn+jj6Py6ZzKV/WmFhIba2tnR1dTFu3Di1TFt0dDRNTU0YjUZMJpO6tvj58+e5fPmyehUGqEPhSkpKiI6Opr6+nrFjx1JWVkZbWxsTJkwgJyeHQYMGMWnSJHJycvjrX/+Kv78/ra2tuLi4UFdXh8lk4syZM2zdupVJkyZRVVUFmLsRTCYTR44cISkpib/97W8cPnyYBQsWqOuvp6WlkZiYSEJCAlqtFisrKxobG/ssrg9TbGwsjo6O6sig1NRUrKys+Pvf/05mZibHjh0jPT2dyspK8vLyCAkJISAggDFjxlBUVERhYSFWVlYcPXqUGTNmsHr1am7dukVTUxMeHh7qrNx7N1L9/PwICAjA3d2dpqYmAI4cOQKY3zeHDx8mJCQENzc39u3bR1xcHKdPn8ZoNNLe3o6DgwP29vY0NTXx85//HG9vb+rr67GzswPM65W7uLiQk5ODn58fM2bMICAggLa2Nnx8fFi+fDkfffQRVVVVsmycJN0vMDCQpKQkzp8/z44dO4iNjeXKlSvqinT3hgs6ODgQHh7O7NmzcXFxwcXFBYPBgIeHB01NTdy6dYulS5fS1tbGlClTuHv3LnPmzMHa2pqVK1dy+/ZtsrOzcXV1Zfbs2dy9e5fMzEysrKzo7u7G0dGRs2fPAlBQUKDObHz//fdxc3PjnXfe4dy5cyxZsoS8vDx27NjBpk2bWLBggTqV/+bNm9ja2j42iRzMqyTm5eVRXV1Nd3e3OqJozJgx6vryU6ZMwd3dndjYWPbt24ebmxvffPMNS5cuJS0tjZEjRwLmpQEAfHx8qK6u5tNPP8XW1pa0tDSuXbtGYmIix48fB8zfAmxtbdViGC4uLhw7doxvv/2WM2fOsHHjRry9vamqqiIuLo74+HiioqLo7OxkyZIlGI1GUlJS1AlMr776Kr6+vuqY8gkTJuDn50dqaiqffPIJTk5OXLp0idu3b1NRUaGu12LJZDKX/iX79++nubmZa9euERwczLBhw9i/f79aJi46OhofHx+eeuopzpw5w5o1a1i0aBFr164lJSWFoUOHMnDgQBYuXEheXh7R0dG89957FBcXU1BQwIkTJ6itraV///6EhYWRl5fHV199hVarxcfHB3t7e3WBJ3t7e6Kiomhvb2fv3r1qQYzS0lLGjBlDXl4eRqMRHx8fBg8ejK+vL59++inTp0/n4sWLfPjhh2zZsqWPI/pwGY1GNBoNlZWVlJSU4O7uzssvv4y1tbU6bf6jjz7C3d2dtLQ0enp61OF9hw8fprOzk6qqKqKioli/fj0AdXV1TJkyhbCwMJYsWUJoaChXrlyhsLCQcePGkZmZibu7OzY2Nvj4+DB06FAaGhrUFQ7nzJkDmIuGV1VVcfbsWfr168fJkycZM2YM165dY/bs2QwYMEBdDfH1118nOTmZ+fPnM3ToULWoxqRJk4iNjaWtrY2QkBDi4+OxtbVl+vTpFj1/AORoFunfNHr0aEpLS4mIiKCgoICoqChMJhPHjh0jOTmZmpoaNmzYQFhYGDY2Nnz77bfY2dnh6OhIYGAgRqORjo4OJk6cSGdnpzrVXqvVsnv3buLj48nOzmb8+PHcvn2b2bNnU1hYyIcffsjAgQOpqKjAycmJd999l2XLlqnL1e7btw8vLy9++ctf8sEHHzBhwgTS0tIA1NE3Z86cobm5mdbW1r4MYZ8YMmQIQUFBGAwGKioqiIiIoKysjLq6OqKjo8nJyaGtrQ0PDw9aW1txd3fntddeY+XKlXR1daHRaPD09GTEiBF88803vP/++8ydO5ennnqKZ599ls8//5zKykr0ej2nT58mIiKCixcvMnXqVLKysmhubsbf3x+DwUBiYiJtbW3Y2dnx6aefkpSUREZGBh4eHjg7O3Pq1Cmam5vVOQ7z5s1j/fr19OvXj6CgIK5fv47JZOLOnTvcvHkTnU6Ho6Mjtra22NjY0N3dTUdHB+Xl5bS3twM//dFKcjSL9B934cIFWltbyczMxM7OjtTUVPLz84mIiOD3v/89zs7O+Pj4YDKZ6OjowMXFhfDwcAwGAwcOHKC+vh5nZ2eOHz9Oamoq5eXlzJgxA2trazw8PAgJCeEvf/kL+/btw9PTk+3bt5ORkaFWhE9JSWHEiBEsW7aMpKQkTCYT2dnZuLu7k5CQgJ2dHaNHj6axsREPDw9CQ0MZPnw4LS0tTJs2jejo6D6OYN8YNGgQHR0dvPDCC4wYMYLTp08zZMgQ3NzcMBgM6PV6kpOTWbBgAc899xzOzs4sX75cHaXU2dlJdHQ0u3fvpqioiLfffpuQkBCWLVumXukDxMTEoNFoqK2tJTExkYKCAvz8/EhJScHd3Z3IyEiOHDmCk5MTdXV1PPHEE5SVlTFjxgwiIyNpbGwkIiJCnWxUVFTExo0baWhooKKiQj2fe0tGAMyePZuioiIqKipoa2vj4sWLdHV1ER4ezuDBg4mNjX34AX+IfjCZCyGChBAX7vvTIoT4jRDCXQiRKYS42vvodt8+vxNClAohSoQQz/64pyD1JUVRCAkJ4c033yQgIIArV64wbNgwkpOTiY6OpqOjA39/f4YMGcLu3bvR6XRMmzaN6dOnYzKZmDRpEjNnzqS4uJjc3Fx0Oh3Nzc2sXLlS7VM/efIk5eXl9O/fn8jISDw9PcnIyGD06NGEhoZy584dXnjhBaKiotBqtTQ0NKiTRSorKwkODqasrIyNGzei0+nYsmULX3/9dV+Hrk9otVrKysr48ssveeuttwDz2PBVq1Yxfvx4nJycsLW15dq1a2RlZQHmm6aVlZXExMSwcOFC1q1bx9y5c9Hr9eTk5DBu3DgSEhK4desWLi4u6PV6uru7aW5uZty4cXz11VdoNBrq6urYtWsX48ePJysri5deeomMjAwGDBiAv78/aWlppKamcvDgQa5cucLTTz9Nfn4+dXV1gHmY7Pz589UizQA6nY69e/eqRcPvDY+MiYlhxIgRjBw5kjNnzqgLg1myH5wBqihKCTAaQAhhDVQDe4HfAkcURXlPCPHb3u2VQohgYB7wBDAYOCyECFQUpedHOgepj1VWVpKWlsbUqVMpLi6mtrYWKysrqqurCQgI4Mknn8TBwYHu7m50Oh2nTp2iu7ubyMhIdeJPREQEBw8epLKykjFjxvDuu++ye/duDh48iEaj4cKFC1RUVJCTk4OHhweBgYHMnDmTK1euYDAYcHJy4uTJk6xbt478/HzKysrIysrCw8MDd3d3hg8fzrlz5/o6VH3O29sbjUZDYWEh69atw8fHh0uXLmEwGIiMjKSkpIRDhw6h0WhoaGhg+vTp7Nixg/Xr17N37160Wi1Tp05VZ3KuXLmSlJQUYmJi1EIeCxcuJCMjg+joaG7qcU3VAAAMyklEQVTevEm/fv1wcHDA2toaBwcH2tvb6enpITs7Gzc3N/bu3Ut8fDzLly+ntbWV9vZ2rK2t2bRpE3FxcbS0tODl5UVTUxM7d+4kLi6O2NhYampquHHjBu3t7RgMBsrKytRvY7dv32bSpEncuXOHjz/+mMWLF/P000/3cfR/XP9qN8tkwKAoyjVgFrC9t307cO87zCxgl6IoHYqiGIFSwLLn0T7mcnNzURSFQ4cO0dnZibe3N9OnT+fkyZOEh4ezZcsWdu/ezbx58zh79iyenp7Y2Nig0Wg4cOCAOsmnf//+lJeXU1dXx+TJkxk4cCBdXV04ODhw584ddDodVlZWNDc3U19fz6JFi/Dy8mLSpEns2rWLyZMnU1RUREZGBs7OzjQ0NDBv3jw6OjpkIu+VnZ2tlndzd3fn1q1bzJo1C61Wy7hx43ByckKj0aj1OktLS1mzZg0rVqzA09NTXamyqamJ5cuX09bWpt4XmThxIqGhobi6uuLl5UVOTg7PPPMMXV1d6szL559/nqNHj5KUlISvry96vZ7IyEiKi4vVBdFGjx7NvHnzqKiooLCwkLS0NHbs2MHly5cBSE1NZd26dXzwwQccP36cjIwMtFotS5cu5ciRI8TExHDu3DnS09Pp6elhxYoVaLVabG1t+yboD8m/msznAfcWPPZWFKUWoPfRq7d9CFB53z5VvW3SY6Czs5OmpibS09N58803SUlJoba2ljfeeIMVK1bw0ksvERgYSFBQkLokQHJyslq0+d7QRn9/f06cOEFFRQUDBgxg9erVDBo0iISEBP785z9jMBgYMGAAaWlpHDp0iK6uLvVKvqioCF9fXxwcHHjrrbfYv39/H0fl0REQEIC1tbU61j8sLIxTp07x6quvYm1tTUdHB1u3buXAgQNqn/XRo0cZNGiQOoR0+PDhnD17lv3796srLBqNRvbt20dVVRXLli0DQK/X8/rrrzNx4kSKiooICQkhIyNDHe+9YcMGfH196ejo4MaNG1y/fp2tW7dy8uRJkpOT0Wg0REZG4ubmRnt7OytWrOC1114jODiYCRMm0NXVhb29vTq2PDc3Fz8/P44cOUJ3dzcVFRUUFxcTFBTExYsXLbIE4P3+6YW2hBB2wEzgh+bEiu9o+39uIQshfgX8CswlxyTLcW+C0NixY9HpdHh6epKens7bb7+t1mH08fHB29ubP/zhDyQnJ7Np0ybc3NzUtThcXFy4c+cOVlZWaoFeMCej119/nc2bN5OVlYXRaKSxsRG9Xo9Wq+XUqVPMnTuX8+fPc+fOnT6LwaNq2LBhfPjhh+qiU56enmRlZbF48WKKi4sJDg7G1tYWX19fCgsL0el0FBQUcPPmTdasWcOyZctYu3YtHh4e/OIXv2D16tVUVVXx4osv0tDQwNWrV1mwYAEmk4kDBw4QFxfH8ePHcXBwoLGxEU9PTwBu3LiBra0tly5dory8nDlz5vDxxx/j7+9PSEgITk5OXL16lfT0dLW84Pbt2zl58iT+/v4ALF++nIKCAnbs2KGuC5SUlERJSQlLlixh5cqVlJWVMWDAAObPn2/xv9T/lSvzaUC+oij1vdv1QohBAL2P92oyVQFD79vPF6j5v/8yRVE2K4oyVlGUsff+gyXLkpubS1lZmVoKbsOGDUybNg2ApKQkJk+ezNixY6mvr8ff3x+dTkdERARdXV3qNPzp06ezfft2amtr0el0pKens2jRIk6cOMHXX3/NtGnTKC4upqioiLa2NsrKyvjiiy84dOhQX576I+uTTz5h/vz59PT0qEvFhoSE0NLSAkBRURHh4eEkJiYSFBTEsGHDAPP8gXtT6z08PAgODmbt2rW89tpr1NTUcPz4cTZv3syxY8eora3FaDSyZs0arK2tMRgM9O/fn5EjR5Kamsqbb75JTk4O8fHxeHp6UlNTg52dHc8++yyurq4cO3aM5uZmdQ30KVOmUFZWRmlpKSNGjMDW1pazZ89y5coVuru7iYmJISIiAo1Gg7e3N9bW1lRWVvLcc8/x8ssvYzQauXr1qjqe3VL9K8k8nv/TxQLwFbCw9/lC4Mv72ucJIeyFEDpgOJDz/3ug0k/XhQsXyM7Oprq6Gh8fH7W6z4kTJ0hPT+eDDz7AxsaG5uZmgoKC1JulOTk55Obm8s4779DS0oLRaCQsLIyMjAx27tyJvb09bW1tKIqCyWTiiy++6OtTfeSNHDmSzZs3q4W4U1NTyc7ORqvVEhcXh4uLC87Ozly+fJnBgwczePBgxo4dS0lJCbGxsRw8eJBnnzUPUOvq6vqHmqLx8fEsXbqU06dPU19fz+bNm6muriY+Pp5Zs2axceNGPDw8+Pzzz3F1daW8vJxt27bx61//mv379xMZGaneJG1paaGyspKEhAQ+++wzvLy88PT0JCoqSu2mOXz4MMeOHQNg586djB49mlWrVhESEsLHH3+Mt7c369evJyUlhVGjRlFfX/8dEbEc/9SkISFEP8z94H6KojT3tg0EUgENUAH8XFGUxt7X3gB+CXQDv1EU5cD3/f1y0tDjZfHixf8w89LPzw+j0aiu+xIbG0tzczM2NjYcOXKEsWPH4uTkhJOT02M7pPA/xc/Pj46ODubMmcPOnTvVZRjmzp3L4cOH0Wq1XLx4Ua3U09raypQpU9RJXlZWVhgMBqysrPDx8aGmpobMzEzeeOMNbty4gdFo5JVXXlGXHI6KilKLmPTv35+pU6cyZMgQSktLSUtLY9WqVVRVVZGbm0traytubm7MnDmTzs5O8vPzqayspLi4GI1Gg7+/P1qtlm3btjF48GCeeOIJEhIS2Lt3L1lZWWpt2oCAAEpLS5k8eTK5ubmcPHkSDw8PGhsb6en5aQ+q+75JQ3IGqPRIE0L85GftSY+O0aNHq+ur/xTJGaDST5ZM5NJ/0k85kf8QmcwlSZIsgEzmkiRJFkAmc0mSJAsgk7kkSZIFkMlckiTJAshkLkmSZAFkMpckSbIAMplLkiRZAJnMJUmSLIBM5pIkSRZAJnNJkiQLIJO5JEmSBZDJXJIkyQLIZC5JkmQBZDKXJEmyADKZS5IkWQCZzCVJkiyATOaSJEkW4JGoASqEMAFtQENfH8sjyAMZlweRsXkwGZsH+ynHZpiiKJ7f9cIjkcwBhBC5DypU+jiTcXkwGZsHk7F5MEuNjexmkSRJsgAymUuSJFmARymZb+7rA3hEybg8mIzNg8nYPJhFxuaR6TOXJEmS/n2P0pW5JEmS9G/q82QuhHhOCFEihCgVQvy2r4/nYRJCDBVCHBNCXBFCFAohft3b7i6EyBRCXO19dLtvn9/1xqpECPFs3x39wyGEsBZCfCOESO/dlrEBhBCuQogvhBDFve+fcBkbMyHEq72fp8tCiE+FEA6PRWwURemzP4A1YAD8ADvgIhDcl8f0kM9/EBDS+3wA8C0QDPwB+G1v+2+BlN7nwb0xsgd0vbGz7uvz+JFjtBz4BEjv3ZaxMZ/vdmBx73M7wFXGRgEYAhgBx97tVODFxyE2fX1lHgaUKopSpihKJ7ALmNXHx/TQKIpSqyhKfu/zW8AVzG/GWZg/rPQ+xvY+nwXsUhSlQ1EUI1CKOYYWSQjhCzwPbLmv+bGPjRDCGYgCtgIoitKpKEoTMjb32ACOQggboB9Qw2MQm75O5kOAyvu2q3rbHjtCCC0wBjgHeCuKUgvmhA949f7Y4xav/wX8D+DufW0yNuZvsiZgW28X1BYhhBMyNiiKUg2sAyqAWqBZUZRDPAax6etkLr6j7bEbXiOE6A/sBn6jKErL9/3od7RZZLyEEDHAdUVR8v7ZXb6jzSJjg/nKMwT4i6IoYzAvhfF995sem9j09oXPwtxlMhhwEkIkfN8u39H2k4xNXyfzKmDofdu+mL8SPTaEELaYE/lORVH29DbXCyEG9b4+CLje2/44xeu/gJlCiHLM3W+ThBB/R8YGzOdapSjKud7tLzAndxkbmAIYFUUxKYrSBewBIngMYtPXyfw8MFwIoRNC2AHzgK/6+JgeGiGEwNzveUVRlP9530tfAQt7ny8EvryvfZ4Qwl4IoQOGAzkP63gfJkVRfqcoiq+iKFrM74ujiqIkIGODoih1QKUQIqi3aTJQhIwNmLtXxgsh+vV+viZjvhdl8bGx6ct/XFGUbiHEUuAg5pEtHymKUtiXx/SQ/Rfw34ACIcSF3rZVwHtAqhBiEeY3588BFEUpFEKkYv7gdgP/XVGUnod/2H1KxsbsFWBn70VQGZCI+eLssY6NoijnhBBfAPmYz/UbzDM++2PhsZEzQCVJkixAX3ezSJIkSf8BMplLkiRZAJnMJUmSLIBM5pIkSRZAJnNJkiQLIJO5JEmSBZDJXJIkyQLIZC5JkmQB/jfEIHV6Oocn0AAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 720x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "hsv_hists(img_hsv, plt)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<a id=\"novos_inrange\"></a>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Novos valores para o inRange"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Agora é importante analisar de forma **crítica** os valores gerados pelo comando `aux.ranges` levando em conta o histograma apresentado anteriormente. Relembrando os valores vindos do *color picker*:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 9, 50, 50], dtype=uint8)"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "cor1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 19, 255, 255], dtype=uint8)"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "cor2"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Notemos que a componente *H* gerada pelo `aux.ranges` está contida na faixa $[9,19]$, entretanto uma análise desta componente nos histogramas acima mostra:\n",
    "\n",
    "* uma grande concentração acima do $50$\n",
    "* a imagem do fundo azulado aparece mais clara no canal *H*, indicando que os pixels azuis são esta grande concentração acima do 50.\n",
    "* uma concentração bem menor espalhada aproximadamente na faixa $[0,40]$\n",
    "* A imagem do canal *H* mostra que os pixels das figuras são mais escuros neste canal. Provavelmente são as figuras que estão entre $0$ e $40$\n",
    "\n",
    "A conclusão a que chegamos é que precisamos de uma faixa *H* para o `inRange` um pouco mais abrangente. Vamos tentar com os valores abaixo.\n",
    "\n",
    "**Observe como se declaram arrays do numpy com o tipo adequado**"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Basta incluir a especificação do pacote `np` antes de `np.array` e `np.uint8`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "cor1_v2 = np.array([ 0, 50, 50], dtype=np.uint8)\n",
    "cor2_v2 = np.array([ 45, 255, 255], dtype=np.uint8)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Vamos agora aplicar as novas faixas para obter uma nova máscara"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "mascara_2 = cv2.inRange(img_hsv, cor1_v2, cor2_v2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "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": [
    "plt.imshow(mascara_2, cmap=\"Greys_r\", vmin=0, vmax=255);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Sucesso!** Note que a filtragem ficou bem melhor agora\n",
    "\n",
    "Ainda assim há pequenos furinhos na imagem. Podemos tentar eliminá-los com um pouco de *blur* ou [operações morfológicas](#morfologia)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Blur para fechar pontos falhos"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Vamos aplicar o *blur*:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "mascara_blur = cv2.blur(mascara_2, (3,3))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "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": [
    "plt.imshow(mascara_blur, cmap=\"Greys_r\", vmin=0, vmax=255);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Podemos notar que fomos bem-sucedidos. O *blur* ajudou a fechar os furos.\n",
    "\n",
    "Podemos passar agora à deteção de contornos e círculos"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [],
   "source": [
    "mask = mascara_blur"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<a id=\"contornos\"></a>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Deteção de contornos e cálculo do centro de massa"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Vamos aplicar uma deteção de contornos igual ao exemplo da aula 2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [],
   "source": [
    "contornos, arvore = cv2.findContours(mask, cv2.RETR_TREE, cv2.CHAIN_APPROX_SIMPLE) "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Precisamos criar uma cópia da máscara para fins de desenho:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [],
   "source": [
    "mask_rgb = cv2.cvtColor(mask, cv2.COLOR_GRAY2RGB) \n",
    "contornos_img = mask_rgb.copy() # Cópia da máscara para ser desenhada \"por cima\"\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Vamos verificar os contornos detectados"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [],
   "source": [
    "cv2.drawContours(contornos_img, contornos, -1, [255, 0, 0], 5);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(8,6))\n",
    "plt.imshow(contornos_img);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<a id=\"centro_massa\"></a>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Centro de massa de um contorno"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Muitas vezes é útil sabermos qual é o *centro de massa* de um contorno. Para esta finalidade vamos definir a função a seguir, que funciona tanto para contornos quanto para mascaras."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [],
   "source": [
    "def center_of_contour(contorno):\n",
    "    \"\"\" Retorna uma tupla (cx, cy) que desenha o centro do contorno\"\"\"\n",
    "    M = cv2.moments(contorno)\n",
    "    # Usando a expressão do centróide definida em: https://en.wikipedia.org/wiki/Image_moment\n",
    "    cX = int(M[\"m10\"] / M[\"m00\"])\n",
    "    cY = int(M[\"m01\"] / M[\"m00\"])\n",
    "    return (int(cX), int(cY))\n",
    "    \n",
    "def crosshair(img, point, size, color):\n",
    "    \"\"\" Desenha um crosshair centrado no point.\n",
    "        point deve ser uma tupla (x,y)\n",
    "        color é uma tupla R,G,B uint8\n",
    "    \"\"\"\n",
    "    x,y = point\n",
    "    cv2.line(img,(x - size,y),(x + size,y),color,5)\n",
    "    cv2.line(img,(x,y - size),(x, y + size),color,5)\n",
    "    \n",
    "font = cv2.FONT_HERSHEY_SIMPLEX\n",
    "\n",
    "def texto(img, a, p):\n",
    "    \"\"\"Escreve na img RGB dada a string a na posição definida pela tupla p\"\"\"\n",
    "    cv2.putText(img, str(a), p, font,1,(0,50,100),2,cv2.LINE_AA)\n",
    "    \n",
    "def auto_canny(image, sigma=0.33):\n",
    "    # compute the median of the single channel pixel intensities\n",
    "    v = np.median(image)\n",
    "\n",
    "    # apply automatic Canny edge detection using the computed median\n",
    "    lower = int(max(0, (1.0 - sigma) * v))\n",
    "    upper = int(min(255, (1.0 + sigma) * v))\n",
    "    edged = cv2.Canny(image, lower, upper)\n",
    "\n",
    "    # return the edged image\n",
    "    return edged"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Vamos percorrer a lista de contornos e aplicar as funções de centro de massa definidas acima"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [],
   "source": [
    "for c in contornos:\n",
    "    a = cv2.contourArea(c) # área\n",
    "    p = center_of_contour(c) # centro de massa\n",
    "    crosshair(contornos_img, p, 20, (128,128,0))\n",
    "    texto(contornos_img, np.round(a,2),p)\n",
    "    \n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Vamos verificar e desenhar o centro dos contornos e a área de cada círculo próxima de si."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(14,10))\n",
    "\n",
    "plt.imshow(contornos_img);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<a id=\"hough_circles\"></a>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Transformada de Hough Circles"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Vamos tentar aplicar a transformada de Hough Circles avaliando os valores mais adequados para a distância entre círculos detectados e quais são seus tamanhos mínimos e máximos."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [],
   "source": [
    "bordas = auto_canny(mask)\n",
    "circles=cv2.HoughCircles(image=bordas,method=cv2.HOUGH_GRADIENT,dp=1.5,minDist=40,param1=200,param2=100,minRadius=5,maxRadius=200)\n",
    "bordas_rgb = cv2.cvtColor(bordas, cv2.COLOR_GRAY2RGB)\n",
    "output = bordas_rgb\n",
    "\n",
    "if circles is not None:        \n",
    "    circles = np.uint16(np.around(circles))\n",
    "    for i in circles[0,:]:\n",
    "        # draw the outer circle\n",
    "        cv2.circle(output,(i[0],i[1]),i[2],(0,255,0),2)\n",
    "        # draw the center of the circle\n",
    "        cv2.circle(output,(i[0],i[1]),2,(0,0,255),3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x12a61c2b0>"
      ]
     },
     "execution_count": 29,
     "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": [
    "\n",
    "plt.imshow(output, cmap=\"Greys_r\", vmin=0, vmax=255)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Podemos notar que o resultado acima **ficou ruim**. Há muitos falsos positivos que foram detectados nas bordas internas do contorno.\n",
    "\n",
    "Isso se deve ao fato de a máscara, usada, mesmo após o *blur*, ter pixels mais escuros em seu interior. \n",
    "\n",
    "Vamos recordar:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x12a5cc880>"
      ]
     },
     "execution_count": 30,
     "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": [
    "plt.imshow(mask_rgb)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<a id=\"limiarizacao\"></a>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Limiarização para melhorar Hough Circles"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Vamos aplicar uma *limiarização* - valores abaixo *grayscale* de $100$ serão convertidos para zero e valores maiores serão transformados em branco."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [],
   "source": [
    "retorno, mask_limiar = cv2.threshold(mask, 100 ,255, cv2.THRESH_BINARY)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Observemos o resultado da limiarização. Notamos que ficou uma imagem binária que define bem as formas."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x12a8703a0>"
      ]
     },
     "execution_count": 32,
     "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": [
    "plt.imshow(mask_limiar, cmap=\"Greys_r\", vmin=0, vmax=255)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## HoughCircles novamente"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Agora que temos a imagem acima, vamos tentar novamente aplicar a transformada de Hough para círculos."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [],
   "source": [
    "\n",
    "bordas = auto_canny(mask_limiar)\n",
    "circles=cv2.HoughCircles(image=bordas,method=cv2.HOUGH_GRADIENT,dp=1.5,minDist=40,param1=50,param2=100,minRadius=5,maxRadius=200)\n",
    "mask_limiar_rgb = cv2.cvtColor(mask_limiar, cv2.COLOR_GRAY2RGB)\n",
    "bordas_rgb = cv2.cvtColor(bordas, cv2.COLOR_GRAY2RGB)\n",
    "\n",
    "output =  bordas_rgb\n",
    "\n",
    "if circles is not None:        \n",
    "    circles = np.uint16(np.around(circles))\n",
    "    for i in circles[0,:]:\n",
    "        # draw the outer circle\n",
    "        cv2.circle(output,(i[0],i[1]),i[2],(0,255,0),2)\n",
    "        # draw the center of the circle\n",
    "        cv2.circle(output,(i[0],i[1]),2,(0,0,255),3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x12a9f6bb0>"
      ]
     },
     "execution_count": 34,
     "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": [
    "plt.imshow(output)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<a id=\"acumulador_dp\"></a>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Valor do acumulador dp de Hough Circles"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Notemos que na imagem acima os círculos ainda não foram detectados.\n",
    "\n",
    "Uma hipótese para este fenômeno é que as bordas estão muito tênues e portanto o algoritmo não as pegou. \n",
    "\n",
    "Vamos tentar alterar os parâmetros da função `cv2.HoughCircles`. \n",
    "\n",
    "O parâmetro *dp* diz respeito à relação entre o tamanho da imagem e o tamanho do acumulador.\n",
    "\n",
    "Para obter o resultado abaixo testamos um acumulador entre $2$ e $4$ e o valor de $2.5$ deu bons resultados."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [],
   "source": [
    "bordas = auto_canny(mask_limiar)\n",
    "circles=cv2.HoughCircles(image=bordas,method=cv2.HOUGH_GRADIENT,dp=2.5,minDist=40,param1=50,param2=100,minRadius=5,maxRadius=150)\n",
    "mask_limiar_rgb = cv2.cvtColor(mask_limiar, cv2.COLOR_GRAY2RGB)\n",
    "bordas_rgb = cv2.cvtColor(bordas, cv2.COLOR_GRAY2RGB)\n",
    "\n",
    "output =  bordas_rgb\n",
    "\n",
    "if circles is not None:        \n",
    "    circles = np.uint16(np.around(circles))\n",
    "    for i in circles[0,:]:\n",
    "        # draw the outer circle\n",
    "        cv2.circle(output,(i[0],i[1]),i[2],(0,255,0),2)\n",
    "        # draw the center of the circle\n",
    "        cv2.circle(output,(i[0],i[1]),2,(0,0,255),3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x12a9c2760>"
      ]
     },
     "execution_count": 36,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x648 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(12,9))\n",
    "plt.imshow(output)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Note que uma vez encontrados os círculos, podemos usar as informações de onde ficam seus centros e raios para realizar as operações de que necessitamos."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<a id=\"morfologia\"></a>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Alternativa com operadores morfológicos"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Vamos substituir as três etapas: melhoria da máscara, eliminação de ruído feita com blur e alteração da resolução para o Hough Circles funcionar por operações morfológicas.\n",
    "\n",
    "Recordemos como a imagem aparecia logo após o `inRange` inicial\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x12a38cac0>"
      ]
     },
     "execution_count": 37,
     "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": [
    "plt.imshow(mascara, cmap=\"Greys_r\", vmin=0, vmax=255)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Limpeza via operações morfológicas"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Vamos usar as operações morfológica de *abertura*.  Esta operação preenche todos os buracos menores que um dado `kernel`e depois corrói suas bordas com outro `kernel`. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [],
   "source": [
    "kernel_dilate = cv2.getStructuringElement(cv2.MORPH_ELLIPSE, (7,7))\n",
    "cruz = ((0,1,0),(1,1,1),(0,1,0))\n",
    "kernel_erode = np.array(cruz,np.uint8)\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Vamos ver como ficam os *kernels* de dilatação e erosão, que são uma elipse e uma cruz, respectivamente"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x12a4e6c40>"
      ]
     },
     "execution_count": 39,
     "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": [
    "plt.imshow(kernel_dilate, cmap = \"Greys_r\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x12ab8a730>"
      ]
     },
     "execution_count": 40,
     "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": [
    "plt.imshow(kernel_erode, cmap=\"Greys_r\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [],
   "source": [
    "morphology_dilate = cv2.dilate(mascara, kernel_dilate)#, iterations=2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [],
   "source": [
    "morphology_erode = cv2.erode(morphology_dilate, kernel_erode)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Na Figura a seguir vemos na parte **esquerda** o resultado da dilatação e na **direita** o resultado da erosão."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x12a862790>"
      ]
     },
     "execution_count": 43,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "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": [
    "plt.figure(figsize=(10,7))\n",
    "plt.imshow(np.hstack((morphology_dilate, morphology_erode)), cmap=\"Greys_r\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Para fins de testes, vamos fazer uma deteção de hough circles sobre o resultado. Note que também foi preciso mexer um pouco no valor *dp* do acumulador (usamos $2.5$ em vez de $2.0$)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {},
   "outputs": [],
   "source": [
    "morphology_erode_rgb = cv2.cvtColor(morphology_erode, cv2.COLOR_GRAY2RGB)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {},
   "outputs": [],
   "source": [
    "bordas_morph = auto_canny(morphology_erode)\n",
    "bordas_morph_rgb = cv2.cvtColor(bordas_morph, cv2.COLOR_GRAY2RGB)\n",
    "output = bordas_morph_rgb\n",
    "\n",
    "circles=cv2.HoughCircles(bordas_morph,cv2.HOUGH_GRADIENT,2.5,40,param1=50,param2=100,minRadius=3,maxRadius=130)\n",
    "\n",
    "if circles is not None:        \n",
    "    circles = np.uint16(np.around(circles))\n",
    "    for i in circles[0,:]:\n",
    "        # draw the outer circle\n",
    "        # cv2.circle(img, center, radius, color[, thickness[, lineType[, shift]]])\n",
    "        cv2.circle(output,(i[0],i[1]),i[2],(0,255,0),2)\n",
    "        # draw the center of the circle\n",
    "        cv2.circle(output,(i[0],i[1]),2,(0,0,255),3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x12a742970>"
      ]
     },
     "execution_count": 46,
     "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": [
    "plt.imshow(output)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Você deve ter notado que um dos círculos mais à esquerda não foi detectado. Poderíamos tentar reforçar a imagem das bordas usando um kernel de convolução para realce de bordas (veja aula 2), ou ainda usar mais uma operação morfológica de dilatação."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Conclusão"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Neste Jupyter Notebook vimos duas alternativas de abordagem de *troubleshooting* para filtragem baseada em cores de pixel. \n",
    "\n",
    "Vimos também o cálculo de centro de massa de contorno e ajuste de alguns parâmetros do Hough Circles."
   ]
  },
  {
   "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": "3.9.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}