06_morpological_operation.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import cv2\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "def load_img():\n",
    "    blank_img =np.zeros((600,600))\n",
    "    font = cv2.FONT_HERSHEY_SIMPLEX\n",
    "    cv2.putText(blank_img,text='ABCDE',org=(50,300), fontFace=font,fontScale= 5,color=(255,255,255),thickness=25,lineType=cv2.LINE_AA)\n",
    "    return blank_img"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "def display_img(img):\n",
    "    fig = plt.figure(figsize=(12,10))\n",
    "    ax = fig.add_subplot(111)\n",
    "    ax.imshow(img,cmap='gray')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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fRb3nGGA3TZ3ZZ86JOqNDu0DcNs+P2fW5Mbswp+B0uW2fG5V8dT02sS3sst6HtG2rM4dCiIIdmHN4movjGq1jp6jem6fGHCIh6gwObRTq2C5GJPbREms4h3V/njC167Yfm9trel3mUt9j+1pn5kuI4mDNbQewDUveyRzi+toEddydpdd+yf3HpghRwBXNYTRqyex42BeX9wO2bZ/OW9mhHso7tq122VkDLIP+WogCVjDXcD936rY9ar0bY4yDDlNC1AoOfRTqmNGoZZv79gUs16H2286JAlZyHMIOtbM8C4F1e9R6Pg7xWn9GouAAHFrHBrANQtRVOJT31ZbSTr5i3eusqmwHz0Fttket5+nQRqqFKIA1sEPfHrVmLq4aoqrqBVX1B1X1R1X1yar6mWn6y6rq4ap6vKp+vaqeN01//vT44vT7mza7CMu3tA5hae09VJt+p247YBdsd8zJKiNRf53ktWOMVya5JcntVXVbkp9N8s4xxs1JPp/krmn+u5J8fozxrUneOc0H7CE7tCPqsB3qzNxcNUSNI381Pfya6TaSvDbJ+6bp9yV5w3T/julxpt9/X9nyn9NSS7PUdh+Kba6fQ98WDn35t0WdmaOVzomqqmuq6qNJnk7yYJI/S/KFMcaXplkuJbl+un99kieSZPr9M0lefMrfvLuqHqmqR863CJtzaCfIsR92sbM51B3coS73tqnzshzSvnOlEDXG+Nsxxi1Jbkjy6iSvOG226edpW/uzKjrGuGeMcesY49ZVG7ttXrgszS632UN7vWxqeQ+tjnOi9utxSHU806fzxhhfSPL7SW5Lcm1VHV+s84YkT073LyW5MUmm339Tks+to7HMyyG9UJZgDutjDm3YhkNZzjlQa+ZslU/nfUtVXTvd/9ok35/ksSQfTPLGabY7k9w/3X9gepzp9x8YhzS2Bzswpx3NnNqyCfu+fHOi1szdKl/7cl2S+6rqmhyFrveOMd5fVX+c5Neq6l8n+UiSe6f5703yH6vqYo5GoN68gXYDM1ZVe3lehJ369qg1S1Bz6OiqaveNuIJN1GifOohN1mcO2+dcLWUbWvo63EWdl16zrrls04da/3WYyzo8g0fPc262K5avYBNfm7FPNlmffavVuqjLfjvE9TunZZ5TW5i3VQ7nATOxxM59yaOKS6z30qgxS2YkakXreqHva4exyfrsa81Wdfz1LUuvw5KWYQ5t3fX/37Q51PhK5ty2uTrEmglRZ3DeDWTfNzDf07Zec9/JdM15uebWtjm1ZR325Q0Bz3ao69ThvDPqfOrokDau7qGbVWq05MNCq7Kt7Mac6z6nOnXMubZXs/Tab8OS1+86GIlqOMtGc6gb2CZrtG81PfR357u+yvpS6r6Udh5bUm2vZl+WY93UxUhU22kbzxjDRnXC5bVYZ31O+9tLYPs43XPVZZ3rdR9qP8ftfh/quorn6vMPyaGs67MQotbIBnZlzpnirKzXK1Of3VJ/HM4DAGgQogAAGoQoAIAGIQoAoEGIAgBoEKIAABqEKACABiEKAKBBiAIAaBCiAAAahCgAgAYhCgCgQYgCAGgQogAAGoQoAIAGIQoAoEGIAgBoEKIAABqEKACABiEKAKBBiAIAaBCiAAAahCgAgAYhCgCgQYgCAGgQogAAGoQoAIAGIQoAoEGIAgBoEKIAABqEKACABiEKAKBBiAIAaBCiAAAahCgAgAYhCgCgQYgCAGgQogAAGoQoAIAGIQoAoEGIAgBoEKIAABqEKACABiEKAKBBiAIAaBCiAAAahCgAgAYhCgCgQYgCAGgQogAAGoQoAIAGIQoAoEGIAgBoEKIAABqEKACABiEKAKBBiAIAaBCiAAAahCgAgAYhCgCgQYgCAGgQogAAGoQoAIAGIQoAoEGIAgBoEKIAABqEKACABiEKAKBBiAIAaBCiAAAahCgAgAYhCgCgQYgCAGgQogAAGlYOUVV1TVV9pKrePz1+WVU9XFWPV9WvV9XzpunPnx5fnH5/02aaDgCwO2cZiXpbksdOPP7ZJO8cY9yc5PNJ7pqm35Xk82OMb03yzmk+AIC9slKIqqobkvyTJL84Pa4kr03yvmmW+5K8Ybp/x/Q40++/b5ofAGBvrDoS9fNJfjrJ302PX5zkC2OML02PLyW5frp/fZInkmT6/TPT/F+lqu6uqkeq6pFm2wEAduaqIaqqfijJ02OMR09OPmXWscLvvjJhjHvGGLeOMW5dqaUAADNyYYV5XpPkh6vq9UlekOQbczQydW1VXZhGm25I8uQ0/6UkNya5VFUXknxTks+tveUAADt01ZGoMcY7xhg3jDFuSvLmJB8YY/xokg8meeM0251J7p/uPzA9zvT7D4wxnjUSBQCwZOe5TtQ/S/KTVXUxR+c83TtNvzfJi6fpP5nk7edrIgDA/NQcBomqaveNAAAOzaPnOTfbFcsBABqEKACABiEKAKBBiAIAaBCiAAAahCgAgAYhCgCgQYgCAGgQogAAGoQoAIAGIQoAoEGIAgBoEKIAABqEKACABiEKAKBBiAIAaBCiAAAahCgAgAYhCgCgQYgCAGgQogAAGoQoAIAGIQoAoEGIAgBoEKIAABqEKACABiEKAKBBiAIAaBCiAAAahCgAgAYhCgCgQYgCAGgQogAAGoQoAIAGIQoAoEGIAgBoEKIAABqEKACABiEKAKBBiAIAaBCiAAAahCgAgAYhCgCgQYgCAGgQogAAGoQoAIAGIQoAoEGIAgBoEKIAABqEKACABiEKAKBBiAIAaBCiAAAahCgAgAYhCgCgQYgCAGgQogAAGoQoAIAGIQoAoEGIAgBoEKIAABqEKACABiEKAKBBiAIAaBCiAAAahCgAgAYhCgCgQYgCAGgQogAAGoQoAIAGIQoAoEGIAgBoEKIAABqEKACABiEKAKBBiAIAaBCiAAAahCgAgAYhCgCgQYgCAGgQogAAGlYKUVX16ar6eFV9tKoemaa9qKoerKrHp58vnKZXVb2rqi5W1ceq6lWbXAAAgF04y0jU944xbhlj3Do9fnuSh8YYNyd5aHqcJK9LcvN0uzvJu9fVWACAuTjP4bw7ktw33b8vyRtOTH/POPKhJNdW1XXn+D8AALOzaogaSX6vqh6tqrunaS8dYzyVJNPPl0zTr0/yxInnXpqmAQDsjQsrzveaMcaTVfWSJA9W1Z9cYd46Zdp41kxHYezuU+YFAJi9lUaixhhPTj+fTvJbSV6d5LPHh+mmn09Ps19KcuOJp9+Q5MlT/uY9Y4xbT5xjBQCwGFcNUVX1dVX1Dcf3k/xgkk8keSDJndNsdya5f7r/QJK3TJ/Suy3JM8eH/QAA9sUqh/NemuS3qup4/v80xvidqvpwkvdW1V1JPpPkTdP8v53k9UkuJvlikreuvdUAADtWYzzrdKXtN6Jq940AAA7No+c5rcgVywEAGoQoAIAGIQoAoEGIAgBoEKIAABqEKACABiEKAKBBiAIAaBCiAAAahCgAgAYhCgCgQYgCAGgQogAAGoQoAIAGIQoAoEGIAgBoEKIAABqEKACABiEKAKBBiAIAaBCiAAAahCgAgAYhCgCgQYgCAGgQogAAGoQoAIAGIQoAoEGIAgBoEKIAABqEKACABiEKAKBBiAIAaBCiAAAahCgAgAYhCgCgQYgCAGgQogAAGoQoAIAGIQoAoEGIAgBoEKIAABqEKACABiEKAKBBiAIAaBCiAAAahCgAgAYhCgCgQYgCAGgQogAAGoQoAIAGIQoAoEGIAgBoEKIAABqEKACABiEKAKBBiAIAaBCiAAAahCgAgAYhCgCgQYgCAGgQogAAGoQoAIAGIQoAoEGIAgBoEKIAABqEKACABiEKAKBBiAIAaBCiAAAahCgAgAYhCgCgQYgCAGgQogAAGoQoAIAGIQoAoEGIAgBoEKIAABqEKACABiEKAKBBiAIAaBCiAAAahCgAgIaVQlRVXVtV76uqP6mqx6rqO6vqRVX1YFU9Pv184TRvVdW7qupiVX2sql612UUAANi+VUeifiHJ74wx/lGSVyZ5LMnbkzw0xrg5yUPT4yR5XZKbp9vdSd691hYDAMzAVUNUVX1jku9Ocm+SjDH+ZozxhSR3JLlvmu2+JG+Y7t+R5D3jyIeSXFtV16295QAAO3RhhXlenuR/JfkPVfXKJI8meVuSl44xnkqSMcZTVfWSaf7rkzxx4vmXpmlPnfyjVXV3jkaqkuSvkvzvJH/RXA5W981R521R6+1Q5+1R6+1R6+34h+d58ioh6kKSVyX58THGw1X1C/nKobvT1CnTxrMmjHFPknu+/KSqR8YYt67QHs5BnbdHrbdDnbdHrbdHrbejqh45z/NXOSfqUpJLY4yHp8fvy1Go+uzxYbrp59Mn5r/xxPNvSPLkeRoJADA3Vw1RY4z/meSJqjoe8vq+JH+c5IEkd07T7kxy/3T/gSRvmT6ld1uSZ44P+wEA7ItVDuclyY8n+ZWqel6SP0/y1hwFsPdW1V1JPpPkTdO8v53k9UkuJvniNO8q7rn6LKyBOm+PWm+HOm+PWm+PWm/HuepcYzzrdCUAAK7CFcsBABp2HqKq6vaq+tR0hfMrfeqPFVTVL1XV01X1iRPTXF1+zarqxqr64HQF/09W1dum6Wq9ZlX1gqr6g6r6o6nWPzNNf1lVPTzV+ten0w1SVc+fHl+cfn/TLtu/NFV1TVV9pKrePz1W5w2oqk9X1cer6qPHnxDTf6zfpr9xZachqqquSfLvcnSV829L8iNV9W27bNMe+OUkt182zdXl1+9LSX5qjPGKJLcl+bFp21Xr9fvrJK8dY7wyyS1Jbp8+tPKzSd451frzSe6a5r8ryefHGN+a5J3TfKzubTn6Vopj6rw53zvGuOXEpQz0H+u32W9cGWPs7JbkO5P87onH70jyjl22aR9uSW5K8okTjz+V5Lrp/nVJPjXd//dJfuS0+dzOXPP7k/yAWm+8zn8/yR8m+Y4cXYjwwjT9y31Jkt9N8p3T/QvTfLXrti/hlqNL0jyU5LVJ3p+j6/6p82Zq/ekk33zZNP3Hemv8jUn+++Xb5TrrvOvDec91dXPW66uuLp/kaleX5wymwxjfnuThqPVGTIeYPpqj69E9mOTPknxhjPGlaZaT9fxyraffP5Pkxdtt8WL9fJKfTvJ30+MXR503ZST5vap6tI6+wSPRf6zbyW9c+UhV/WJVfV3WWOddh6iVrm7Oxqj/OVXV1yf5jSQ/Mcb4yyvNeso0tV7RGONvxxi35Gik5NVJXnHabNNPtW6oqh9K8vQY49GTk0+ZVZ3X4zVjjFfl6BDSj1XVd19hXrXuOf7GlXePMb49yf/NGr5x5aRdhyhXN98OV5ffgKr6mhwFqF8ZY/zmNFmtN2gcffn57+foPLRrq+r4Wncn6/nlWk+//6Ykn9tuSxfpNUl+uKo+neTXcnRI7+ejzhsxxnhy+vl0kt/K0ZsD/cd6bfwbV3Ydoj6c5Obp0x/PS/LmHF3xnPVydfk1q6pKcm+Sx8YYP3fiV2q9ZlX1LVV17XT/a5N8f45ODv1gkjdOs11e6+N18MYkHxjTCQ48tzHGO8YYN4wxbspRX/yBMcaPRp3Xrqq+rqq+4fh+kh9M8onoP9ZqbOMbV2Zw4tfrk/xpjs5x+Be7bs/Sb0l+NclTSf5fjlL1XTk6T+GhJI9PP180zVs5+nTknyX5eJJbd93+pdySfFeOhnk/luSj0+31ar2RWv/jJB+Zav2JJP9ymv7yJH+Qo29H+M9Jnj9Nf8H0+OL0+5fvehmWdkvyPUner84bq+/Lk/zRdPvk8b5P/7GRWt+S5JGp//gvSV64zjq7YjkAQMOuD+cBACySEAUA0CBEAQA0CFEAAA1CFABAgxAFANAgRAEANAhRAAAN/x+TBfPLGKr8hAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 864x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "img = load_img()\n",
    "display_img(img)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "#working with erosion\n",
    "kernel = np.ones((5,5),np.uint8)\n",
    "erosion1 = cv2.erode(img,kernel,iterations = 1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAlEAAAJCCAYAAADgPpLrAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi4zLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvIxREBQAAHx9JREFUeJzt3W2sdWlZH/D/VUbA+jaAQsjMNECctPihjGSCYzBG8SVAjcMHSDAmTMgk88UajCYW2qSNST/UL6KkDelErENjVYpaJsSoZMC0XxiZEeTFEXm0lHkyU6YWGGtJtOjdD2cdOMyceZ79XGe/rLX275fsnL3XXvuce13r3mv9973WXqfGGAEA4Nr8vUM3AABgiYQoAIAGIQoAoEGIAgBoEKIAABqEKACAhp2EqKp6ZVV9sqouVdWbd/E3AAAOqbZ9naiqelqSP03yA0kuJ/lQkh8ZY/zxVv8QAMAB7WIk6mVJLo0x/nyM8TdJfi3J7Tv4OwAAB3PdDn7nDUkePvP4cpLvuNILqspl0wGAffuLMca3dF+8ixBV50x7UkiqqruS3LWDvw8AsIn/cZEX7yJEXU5y05nHNyZ55IkzjTHuTnJ3YiQKAFieXZwT9aEkN1fVC6vq6Ulen+TeHfwdAICD2fpI1BjjS1X1T5P8bpKnJfmlMcYntv13AAAOaeuXOGg1wuE8AGD/Hhxj3Np9sSuWAwA0CFEAAA1CFABAgxAFANAgRAEANAhRAAANQhQAQIMQBQDQIEQBADQIUQAADUIUAECDEAUA0CBEAQA0CFEAAA1CFABAgxAFANAgRAEANAhRAAANQhQAQIMQBQDQIEQBADQIUQAADUIUAECDEAUA0CBEAQA0CFEAAA1CFABAgxAFANAgRAEANAhRAAANQhQAQIMQBQDQIEQBADQIUQAADUIUAECDEAUA0CBEAQA0CFEAAA1CFABAgxAFANAgRAEANAhRAAANQhQAQIMQBQDQIEQBADQIUQAADUIUAECDEAUA0CBEAQA0CFEAAA1CFABAgxAFANAgRAEANAhRAAANQhQAQIMQBQDQIEQBADQIUQAADUIUAECDEAUA0CBEAQA0CFEAAA1CFABAgxAFANAgRAEANAhRAAANQhQAQIMQBQDQIEQBADQIUQAADUIUAECDEAUA0CBEAQA0CFEAAA1CFABAgxAFANAgRAEANAhRAAANQhQAQIMQBQDQIEQBADQIUQAADVcNUVX1S1X1WFV9/My0Z1fV+6rqU9PPZ03Tq6reVlWXquqjVfXSXTYeAOBQNhmJ+uUkr3zCtDcnuW+McXOS+6bHSfKqJDdPt7uSvH07zQQAmJerhqgxxn9N8rknTL49yT3T/XuSvObM9HeOEx9Mcn1VPX9bjQUAmIvuOVHPG2M8miTTz+dO029I8vCZ+S5P056kqu6qqgeq6oFmGwAADua6Lf++OmfaOG/GMcbdSe5Okqo6dx4AgLnqjkR99vQw3fTzsWn65SQ3nZnvxiSP9JsHADBP3RB1b5I7pvt3JHnPmelvmL6ld1uSx08P+wEArMlVD+dV1a8m+Z4k31xVl5P8qyT/Jsm7qurOJJ9J8rpp9t9O8uokl5J8Mckbd9BmAICDqzEOfzqSc6IAgAN4cIxxa/fFrlgOANAgRAEANAhRAAANQhQAQIMQBQDQIEQBADQIUQAADUIUAECDEAUA0CBEAQA0CFEAAA1CFABAgxAFANAgRAEANAhRAAANQhQAQIMQBQDQIEQBADQIUQAADUIUAECDEAUA0CBEAQA0CFEAAA1CFABAgxAFANAgRAEANAhRAAANQhQAQIMQBQDQIEQBADQIUQAADUIUAECDEAUA0CBEAQA0CFEAAA1CFABAgxAFANAgRAEANAhRAAANQhQAQIMQBQDQIEQBADQIUQAADUIUAECDEAUA0CBEAQA0CFEAAA1CFABAgxAFANAgRAEANAhRAAANQhQAQIMQBQDQIEQBADQIUQAADUIUAECDEAUA0CBEAQA0CFEAAA1CFABAgxAFANAgRAEANAhRAAANQhQAQIMQBQDQIEQBADQIUQAADUIUAECDEAUA0CBEAQA0XHfoBsA2jTEO3YRzVdWhm7BoF1mvx1D7Q/T7Y6jrJua6zdkm6/qpCVErc6U39NreCEvaeJ3X1rWtj23YxTp9qt+55PrPoe+vsa6bmEPt9+2Jy7z2dXwtHM47Imt6869hWcYYX74du0PUYal1n3u719yn17pc10odvsJI1ApcS4c+nXepnyTW+uY9xk/1c1iXS/mEPYdaXau19Okl1n4fztZlaet0m4xELVz3Db7EDcMS23xRa/xUP+dlmmPb5taei1rSCOwS2jgHx1wnIQoWYCk7nStZ0jIsqa1LpsYsnRC1YBfdAC1pA7aktu6SOhyXY1jfx7CMx+BY16MQtVDb6rBL6PhLaOM+LW2UZGntPeuQ7V5qzTrm2Efm1p4lOMaaCVELtO2Oeowdfw2st/1Q5/1Ra5ZGiIIFm/tOZ+7t29RalmMJ1JolEaJg4ea605lru7rWtjxzptYsxVVDVFXdVFUfqKqHquoTVfWmafqzq+p9VfWp6eezpulVVW+rqktV9dGqeumuF+KY7GrjYqPFNq21P611ueZIrVmCTUaivpTkp8YYL05yW5Ifq6pvS/LmJPeNMW5Oct/0OEleleTm6XZXkrdvvdUcDRvSzcypTnNqyy7sY/nWXsNNHaoO6s+mrhqixhiPjjH+cLr/f5I8lOSGJLcnuWea7Z4kr5nu357knePEB5NcX1XP33rLj9Cu39g2HMt26G84Hfrv79MxLeuhqfNyHOOVy6/pnKiqekGSb09yf5LnjTEeTU6CVpLnTrPdkOThMy+7PE0DVupYd3THutz7ps7zd4wBKrmGEFVVX5/kN5L8xBjjL6806znTnvQOqKq7quqBqnpg0zYcs31tRGyslm/foyTH3meOffn3RZ2Zo41CVFV9TU4C1K+MMX5zmvzZ08N008/HpumXk9x05uU3Jnnkib9zjHH3GOPWMcat3cYDh2XHdkId9kOd5+lYR6GSzb6dV0nekeShMcbPnXnq3iR3TPfvSPKeM9PfMH1L77Ykj58e9gP2xzl0rJF+Ny/HHKCSpK7WIavqu5L8tyQfS/J30+R/npPzot6V5B8k+UyS140xPjeFrn+b5JVJvpjkjWOMKx6yqyrviqvY94ZjLm8MG8yL2eV6tG6ebFv1Vtur07cPay77iC148CJHxK4aovZBiLo6IYquXa1L6+bJhKj9EaIOZy77hy25UIi6bpstAdbPDuapndZmZTuZWVLr/VHjpyZELcAhdlpjjNW+cQ69XPten0tfl9tou+Bn5ObQlvwe5KkJUTNn47Q+521M93ES+FLCyC52Nk/8nUup91Icok+f/TvHVGvmRYiCGTi7E5hrcN51u/a5Izz9W7tcpmPfue+zTx97rTmca7piObBccw1niUMda2f9slZC1Iwdeqd36L9/rOa4w1lrX9h1rddatw61Zo2EKOCgDh0aD/33j4laszZC1EzN5VPVXNpxbOa0s9llH5jLcvrm2v7MZZ3DNghRwEHMbWc6t/asmVqzFkIUzNQcdjRGUbZDHfdDndk3IWqG5rYhmFt7WL45BMTzzLVda6TWrIEQBQDQIETNzFxHfebaLnZnV+t87iMQc2/fmuyi1rZV7JMQBezNUgLKUtoJHJYQNSNz/wQ19/axPdY1S6b/si9CFLAXSxvdWVp7l0qdWTIhCmDHBAVYJyFqJpYy/LyUdq7BoWq9i7+71BCxjXYvddn3yQnmLJUQBQDQIETBDPkUPR8XGSUxCgXrJkTNwNJ2mEtrL4e1hiDRWYY1LPc+OaTHEl136AYAX82Gf55Od/JXWz/CExwPIerAlrrDHGPYWWzRPvrBJutrqf1xn/T73amqrfdB2yp2SYhaofM2GHaO87PPdWInArB9zomiTTDrGWOoHcAKGIlamacacdjFMPlSHVsdDjkKZQSMa7XWbdWul8l77TCEqANaw4bC+QYAh3fe/sS2efcczoMVsxEF2B0h6ojYoXIlaxgZhfMca992/uXuCVEHomOza0IzkNjf7JIQBQArJ0jthhC1IpuMPBidWL+qsp4B9kCIOoBdfCI45E7TJ5z5EJ6Ap+Icqe0TovZsrR14rcu1JAIUwH4JUQAADULUClzrCIQRCwC4OCFqj9Z+yGvtywcAZwlRC9cdVTIaBQAXI0TBShgJBNgvIWpPjmUHdyzLOVfqD1yJoxDbJUQBwBEQoLZPiNqDYxsdOLblnRsX1AOeSIDaDSEKVkqQAhIBapeuO3QD1m7XO7K57ijHGN64AAdkG7x7RqJgxeYasgHWwEjUDh37DsxoFMB+2NYehhDF0Tn0xmbf4VqYhcPzHlwnh/Ngz6rKBhVgBYSoHTn2Q3mn1OGpnYapfQSqTdaDYMda6dvsisN5MANnN/KCJ8AyGImCIyGcAWyXEMXO2XlfmzUderDuuVb6DEsiRO2AjQAXtaYgBbBWzokCvqyqfAjYwFPVSPi9mF30PeuEXTISBTNl4z9PV9rRC6BwXISoLbMRPZ+6sHRjjI368abzAcsnRAE7tYZA0VmGNSz3PjmUxxIJUQBXcJGduyAF6yZEbZEN5pWpDwBrIkQBX2UXh0CWGqC30e6lLvs+OZTHUglRW2JDuRl14hjp97BOQhTwJEajltfepTIKxZIJUVtgY3tt1Ot4LWXdL6WdwGEJUQAADf7tywXt6hPrnIajd7GMY4xZLSNPtqt/ATP3dW8Uan8cymPpjEQBADQIUTM0t09Sc2sPyzfX0Z65tmuN1Jo1EKIuwEbgYtTvyuZQHwF6O9RxP9SZfROigIOYQ0g8a27tWTO1Zi2EqJmZ6yepubZrrea0k9nlup/Lcu6yHd47X20u6xy2QYhqOsZvlbgA437MsSZrDVJjDAFqT9SaNRKiGua4k1sy9dyPOe9k9IF1s35ZK9eJghlYwk5mV9eNOnX6u/cR9vZR7zmH1n3YZ58+9lpzOELUTCxlI7DrHekxsZM53y7DlL67e2rMMRGimIW5X8V6m5a8k9lniN5mmNp3zY+lL586ZJ8+tlozL0LUDCxtI7D00aglt71jaf3riY5tfe2KOh7Wkuu/9G3ILglRwDU53aAueaewK3Y2+6PW+/PE97raf4Vv510jO47dUdvts7EDts22+iuEqANb6k5uqe2GXfGe2B+1PrxdX/drKRzOuwY6zO6p8fbsekez9HPjWCYBal6O6UtB5xGiaLMTnad9btCcH2Wnvi/qPF/HHKQcztvQMe8k4GqOdQN6rMu9b+o8f8e6j7xqiKqqZ1bVH1TVH1XVJ6rqZ6bpL6yq+6vqU1X161X19Gn6M6bHl6bnX7DbRViuNWwY1rAMa3LI9XFsfeHYlheu5hiD1CYjUX+d5BVjjJckuSXJK6vqtiQ/m+StY4ybk3w+yZ3T/Hcm+fwY41uTvHWaD9ixOezU59CGfTiW5ZwDtWbOrhqixom/mh5+zXQbSV6R5N3T9HuSvGa6f/v0ONPz31feBbBTc3qLzaktu7CP5Vt7DTd1qDqoP5va6JyoqnpaVX0kyWNJ3pfkz5J8YYzxpWmWy0lumO7fkOThJJmefzzJc875nXdV1QNV9cDFFmGZvElZs7X277Uu1xypNUuwUYgaY/ztGOOWJDcmeVmSF5832/TzvJ7/pAOlY4y7xxi3jjFu3bSxwJPNdWcz13Z1rW155kytWYpr+nbeGOMLSX4/yW1Jrq+q00sk3Jjkken+5SQ3Jcn0/Dcl+dw2Ggt8tbnvbObevk2tZTmWQK1Zkk2+nfctVXX9dP9rk3x/koeSfCDJa6fZ7kjynun+vdPjTM+/fxzjKftXsLaNxNqWZynUfT/UeX/UmqXZ5GKbz09yT1U9LSeh611jjPdW1R8n+bWq+tdJPpzkHdP870jyH6vqUk5GoF6/g3bv3bYuLLnWjcSu6yOHf8XS+tCSL8h56EtGLLFmHXPs08dU/22Z43rctZpDJ6mqwzdiQxep1zF0sIv2pyvVaA599VDW1HeWsB7nVO8l1KtrTnU+z5prv21zX5dX8OBFzs12xfJr1O0oC+5g1+Qiy3m11x5LDc+qqtUt95yXaY5tm1t7Luq0xktYriW0cQ6OuU7+d94eHFsH6wyDb1qjYxhiP5b+MqfDfHOv+dL7/dzreyVLr/2uLXndboMQ1bDpxv+YO9cua7TGjdqx95VDrc8l1X1OoXMTS6rt1Syt9vuwpvV7EQ7nXcCVOpEOdmJXNVpDfZd0WGPXDlGHpdZ97u1ec59e63JdK3X4CiNRF6QzXd2uanTe753rJ0X9ZDO7+HbmGmv/xGU6RL9fY103MYfa79uxrutNCFGsijf7OlmvV6Y+h6P2x83hPACABiEKAKBBiAIAaBCiAAAahCgAgAYhCgCgQYgCAGgQogAAGoQoAIAGIQoAoEGIAgBoEKIAABqEKACABiEKAKBBiAIAaBCiAAAahCgAgAYhCgCgQYgCAGgQogAAGoQoAIAGIQoAoEGIAgBoEKIAABqEKACABiEKAKBBiAIAaBCiAAAahCgAgAYhCgCgQYgCAGgQogAAGoQoAIAGIQoAoEGIAgBoEKIAABqEKACABiEKAKBBiAIAaBCiAAAahCgAgAYhCgCgQYgCAGgQogAAGoQoAIAGIQoAoEGIAgBoEKIAABqEKACABiEKAKBBiAIAaBCiAAAahCgAgAYhCgCgQYgCAGgQogAAGoQoAIAGIQoAoEGIAgBoEKIAABqEKACABiEKAKBBiAIAaBCiAAAahCgAgAYhCgCgQYgCAGgQogAAGoQoAIAGIQoAoEGIAgBoEKIAABqEKACABiEKAKBBiAIAaBCiAAAaNg5RVfW0qvpwVb13evzCqrq/qj5VVb9eVU+fpj9jenxpev4Fu2k6AMDhXMtI1JuSPHTm8c8meesY4+Ykn09y5zT9ziSfH2N8a5K3TvMBAKzKRiGqqm5M8k+S/OL0uJK8Ism7p1nuSfKa6f7t0+NMz3/fND8AwGpsOhL180l+OsnfTY+fk+QLY4wvTY8vJ7lhun9DkoeTZHr+8Wn+r1JVd1XVA1X1QLPtAAAHc9UQVVU/lOSxMcaDZyefM+vY4LmvTBjj7jHGrWOMWzdqKQDAjFy3wTwvT/LDVfXqJM9M8o05GZm6vqqum0abbkzyyDT/5SQ3JblcVdcl+aYkn9t6ywEADuiqI1FjjLeMMW4cY7wgyeuTvH+M8aNJPpDktdNsdyR5z3T/3ulxpuffP8Z40kgUAMCSXeQ6Uf8syU9W1aWcnPP0jmn6O5I8Z5r+k0nefLEmAgDMT81hkKiqDt8IAODYPHiRc7NdsRwAoEGIAgBoEKIAABqEKACABiEKAKBBiAIAaBCiAAAahCgAgAYhCgCgQYgCAGgQogAAGoQoAIAGIQoAoEGIAgBoEKIAABqEKACABiEKAKBBiAIAaBCiAAAahCgAgAYhCgCgQYgCAGgQogAAGoQoAIAGIQoAoEGIAgBoEKIAABqEKACABiEKAKBBiAIAaBCiAAAahCgAgAYhCgCgQYgCAGgQogAAGoQoAIAGIQoAoEGIAgBoEKIAABqEKACABiEKAKBBiAIAaBCiAAAahCgAgAYhCgCgQYgCAGgQogAAGoQoAIAGIQoAoEGIAgBoEKIAABqEKACABiEKAKBBiAIAaBCiAAAahCgAgAYhCgCgQYgCAGgQogAAGoQoAIAGIQoAoEGIAgBoEKIAABqEKACABiEKAKBBiAIAaBCiAAAahCgAgAYhCgCgQYgCAGgQogAAGoQoAIAGIQoAoEGIAgBoEKIAABqEKACABiEKAKBBiAIAaBCiAAAahCgAgAYhCgCgYaMQVVWfrqqPVdVHquqBadqzq+p9VfWp6eezpulVVW+rqktV9dGqeukuFwAA4BCuZSTqe8cYt4wxbp0evznJfWOMm5PcNz1OklcluXm63ZXk7dtqLADAXFzkcN7tSe6Z7t+T5DVnpr9znPhgkuur6vkX+DsAALOzaYgaSX6vqh6sqrumac8bYzyaJNPP507Tb0jy8JnXXp6mAQCsxnUbzvfyMcYjVfXcJO+rqj+5wrx1zrTxpJlOwthd58wLADB7G41EjTEemX4+luS3krwsyWdPD9NNPx+bZr+c5KYzL78xySPn/M67xxi3njnHCgBgMa4aoqrq66rqG07vJ/nBJB9Pcm+SO6bZ7kjynun+vUneMH1L77Ykj58e9gMAWItNDuc9L8lvVdXp/P9pjPE7VfWhJO+qqjuTfCbJ66b5fzvJq5NcSvLFJG/ceqsBAA6sxnjS6Ur7b0TV4RsBABybBy9yWpErlgMANAhRAAANQhQAQIMQBQDQIEQBADQIUQAADUIUAECDEAUA0CBEAQA0CFEAAA1CFABAgxAFANAgRAEANAhRAAANQhQAQIMQBQDQIEQBADQIUQAADUIUAECDEAUA0CBEAQA0CFEAAA1CFABAgxAFANAgRAEANAhRAAANQhQAQIMQBQDQIEQBADQIUQAADUIUAECDEAUA0CBEAQA0CFEAAA1CFABAgxAFANAgRAEANAhRAAANQhQAQIMQBQDQIEQBADQIUQAADUIUAECDEAUA0CBEAQA0CFEAAA1CFABAgxAFANAgRAEANAhRAAANQhQAQIMQBQDQIEQBADQIUQAADUIUAECDEAUA0CBEAQA0CFEAAA1CFABAgxAFANAgRAEANAhRAAANQhQAQIMQBQDQIEQBADQIUQAADUIUAECDEAUA0CBEAQA0CFEAAA1CFABAgxAFANAgRAEANAhRAAANQhQAQIMQBQDQIEQBADQIUQAADUIUAECDEAUA0CBEAQA0CFEAAA0bhaiqur6q3l1Vf1JVD1XVd1bVs6vqfVX1qenns6Z5q6reVlWXquqjVfXS3S4CAMD+bToS9QtJfmeM8Y+SvCTJQ0nenOS+McbNSe6bHifJq5LcPN3uSvL2rbYYAGAGrhqiquobk3x3knckyRjjb8YYX0hye5J7ptnuSfKa6f7tSd45TnwwyfVV9fyttxwA4ICu22CeFyX5X0n+Q1W9JMmDSd6U5HljjEeTZIzxaFU9d5r/hiQPn3n95Wnao2d/aVXdlZORqiT5qyT/O8lfNJeDzX1z1Hlf1Ho/1Hl/1Hp/1Ho//uFFXrxJiLouyUuT/PgY4/6q+oV85dDdeeqcaeNJE8a4O8ndX35R1QNjjFs3aA8XoM77o9b7oc77o9b7o9b7UVUPXOT1m5wTdTnJ5THG/dPjd+ckVH329DDd9POxM/PfdOb1NyZ55CKNBACYm6uGqDHG/0zycFWdDnl9X5I/TnJvkjumaXckec90/94kb5i+pXdbksdPD/sBAKzFJofzkuTHk/xKVT09yZ8neWNOAti7qurOJJ9J8rpp3t9O8uokl5J8cZp3E3dffRa2QJ33R633Q533R633R63340J1rjGedLoSAABX4YrlAAANBw9RVfXKqvrkdIXzK33rjw1U1S9V1WNV9fEz01xdfsuq6qaq+sB0Bf9PVNWbpulqvWVV9cyq+oOq+qOp1j8zTX9hVd0/1frXp9MNUlXPmB5fmp5/wSHbvzRV9bSq+nBVvXd6rM47UFWfrqqPVdVHTr8hZvuxfbv+jysHDVFV9bQk/y4nVzn/tiQ/UlXfdsg2rcAvJ3nlE6a5uvz2fSnJT40xXpzktiQ/NvVdtd6+v07yijHGS5LckuSV05dWfjbJW6dafz7JndP8dyb5/BjjW5O8dZqPzb0pJ/+V4pQ67873jjFuOXMpA9uP7dvtf1wZYxzsluQ7k/zumcdvSfKWQ7ZpDbckL0jy8TOPP5nk+dP95yf55HT/3yf5kfPmc7vmmr8nyQ+o9c7r/PeT/GGS78jJhQivm6Z/eVuS5HeTfOd0/7ppvjp025dwy8klae5L8ook783Jdf/UeTe1/nSSb37CNNuP7db4G5P89yf2y23W+dCH857q6uZs11ddXT7J1a4uzzWYDmN8e5L7o9Y7MR1i+khOrkf3viR/luQLY4wvTbOcreeXaz09/3iS5+y3xYv180l+OsnfTY+fE3XelZHk96rqwTr5Dx6J7ce2nf2PKx+uql+sqq/LFut86BC10dXN2Rn1v6Cq+vokv5HkJ8YYf3mlWc+ZptYbGmP87RjjlpyMlLwsyYvPm236qdYNVfVDSR4bYzx4dvI5s6rzdrx8jPHSnBxC+rGq+u4rzKvWPaf/ceXtY4xvT/J/s4X/uHLWoUOUq5vvh6vL70BVfU1OAtSvjDF+c5qs1js0Tv75+e/n5Dy066vq9Fp3Z+v55VpPz39Tks/tt6WL9PIkP1xVn07yazk5pPfzUeedGGM8Mv18LMlv5eTDge3Hdu38P64cOkR9KMnN07c/np7k9Tm54jnb5eryW1ZVleQdSR4aY/zcmafUesuq6luq6vrp/tcm+f6cnBz6gSSvnWZ7Yq1P18Frk7x/TCc48NTGGG8ZY9w4xnhBTrbF7x9j/GjUeeuq6uuq6htO7yf5wSQfj+3HVo19/MeVGZz49eokf5qTcxz+xaHbs/Rbkl9N8miS/5eTVH1nTs5TuC/Jp6afz57mrZx8O/LPknwsya2Hbv9Sbkm+KyfDvB9N8pHp9mq13kmt/3GSD0+1/niSfzlNf1GSP8jJf0f4z0meMU1/5vT40vT8iw69DEu7JfmeJO9V553V90VJ/mi6feJ032f7sZNa35LkgWn78V+SPGubdXbFcgCAhkMfzgMAWCQhCgCgQYgCAGgQogAAGoQoAIAGIQoAoEGIAgBoEKIAABr+P+glEW0HoHdvAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 864x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "display_img(erosion1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 132,
   "metadata": {},
   "outputs": [],
   "source": [
    "img = load_img()\n",
    "kernel = np.ones((5,5),np.uint8)\n",
    "erosion5 = cv2.erode(img,kernel,iterations = 4)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 133,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 864x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "display_img(erosion5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "#opening\n",
    "img = load_img()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "white_noise = np.random.randint(low=0,high=2,size=(600,600))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[1, 0, 1, ..., 0, 0, 1],\n",
       "       [0, 1, 1, ..., 1, 1, 1],\n",
       "       [1, 1, 1, ..., 0, 0, 0],\n",
       "       ...,\n",
       "       [0, 1, 0, ..., 1, 0, 0],\n",
       "       [1, 1, 0, ..., 0, 1, 1],\n",
       "       [0, 0, 1, ..., 1, 0, 0]])"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "white_noise"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "white_noise = white_noise*255"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(600, 600)"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "white_noise.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
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i4ripkeo/ubhakZ+Kj/I8vVwuhe34Tf3KEzXXxqvhOKt1yrlTa8rpPFVzrp6uTo+OD/Ehai3dwMd3dU2N6tYd3sRxDT+5pwLPfHMfNZdrELeXYhoOKkZhK42Jx8RL9XM8XZ6z9XL557zjPLlQHdWcq7nj4/glLMddeeRqkHAJawfT6SMfFdbMs1MLqiXFq/mGp/MgcUtYan5nr6uN4tfWouW260PjReKbNJMuyk/9QPt3PEx+UYzrAbXfaSGPUmzDOfmmPKf9Z8enhxHeYby8vGDByPzjOjVAali3jxqMhotPnJv9M4/irbgkfQnL6aT9SkfiTesqh+NEOZt4F9vcO98b/jScd43vzmPS1Hrt8FvNVGsXn+JcPHFTupv7ubedIw2kw8Urbg3HNFwdXV8R/4ZD45t6Jx7N/NTkeBDfhEOxDjcNx0vFqL4jjxN/qge9FF7Skeqd9FN+l3N3fHpo9zuN19fX78xRs6k115hNwSkHvbdFURyp8K6BadAe4qD2zmu17vLP9+Sb4tQcCPLcxSuerp6ufoqrq1nrqesj0qRq5/io/KSbcKg+rs5KS+sL7VXvLg/FEEbS7zglT2mP0p20kQ6F3VwrDs1wupy2xDflTHWa2ImDi1XXDr/JPWNUfMvLYbl6Jz1UK9JDvJ1epVnNUa1pP/FQGh4dH+YHy48fpMiI41oy2Zm2g+nid/cTJ9Vkac3pb/bTWopr9xBGykP46V7lJT92dKp9Tm/Cb3ireIqZg+o/78nrqUPhkM6dPpgY5FOTv8Vy646jGuRZ0kycJvaOZ4kvxSZ8x53yUEzykdZc/jZf4upiXG1a7sTR8Us5Wx8oh+O3UxPqI7UnvYgrYc75xF/Fvo0v5wfL1+oK05iU9qd8ao1idtbcIZh8HTZxp+Z0TdjoIe5qj9OXcjdzlIdGU1OnQ+VxXtO6mlf8VG7Fj3Kqe5eL+O/EUI0V7yau8Yz83tVA9aD8DeepkTBdjNtL3Gdex9PhNliu/jS/g+2uFa7TkTxr69HoavK62pFW0tj2AWEpjXPf1H7GE+cpcW08263te49P3xvyxrj/B8RrcTMehyv4/Vo1jCt803yuWK65nQbHgfCTR40XinPDy/Fx2lMTk/bE3c0TZ5ejwXN5duuqeBAG3TfxlJu4ntWd9iSfXf0I23FKuZ1O6g/S5HIR15S/wVd6yOfmnjiQjqbnFE+quatTe520JGzi47Aavmc8SPrId9JB74qbw97VqGLnGvFROne57azvjA/xlaj7oGK6WFekiUOYqeCq0MRDNRTFpxyuSRWu09h44bQoXuq69Y+8cu87OFM38XZ7SY/DcNiqLo0mx8nlV4PqkzxSuHO/84M47fiWPHTeOs0uVvEhvJaT89u9VLzCVvc7/Glf62faT34lvQqvyU95iaOLT/Ugv1vf1bW6p7WUV+1NPlC82u+4TOxHuDr+tFftSzmb8SF+Jmr+33nT6NRwai7tV3FqUMFpuAZr8lEO2tc2UPJGYVFMy38X38Wf9X3e79SnzZn4q1xzbeLMeeLm+BLO5ER7XR3Im1Q7V1OHn/xy3ij8Vle6p/2NVw0n5VOz3/FNuVpfyd8m3ulz84o3+UHx5Eni4+6Jj+JB6zTX+OQ0pnq5faSxeRFX54Xi1t4nnkrX2/1DPxO1brfbZ3+ttW5rrdv1et1+v7+O9xOvuVY4Cj9x3clB8XPeaWzjlJ659l7ett44n4k74Tn/kq8truuVJpda26lpykHaHPaZerraJv5OB/Vgu5Z6q+GSfGzrSL3kznF7rlv/XX8lL1pvm55L/ed8SGdNrbu6Jc2PnOXW03Q2HDfa1/RJcyZc3ZsaJW0uV/IpnReqd9H7v/nQ55fP/QHqdrutl5cXNKhtflfQdFjo4dAcrlSwM4e7afa2CZuDnzxMh6tp2HTIHHdXf1ej9iA3fFJPOW6ut5KmFrPpeafd3Tdni+Ya3Y7HDqdGi/Os6VHCc2e3OdNNnyavd3g5vmf6rDmX1H/tM2Guu+dDyp/Og+ujnXPW1tXFOZ+V1lRP8p+8cx42PbDTR43/KZ40GP4PfYj6MN/Ou4Yvx801GnNt4tF8WtvJOdcUp6RXaU9epGvakzxQ3B0X0kB4Tl+KcdhpT/JT5Wi40zpxojzOw+Q98SV/na80XM2OMfO63Ue8qO7UC80+2jsxHJ6Kc7pUjKuBi6W4pI34OL0NhnslfY0uN9dgKd5Kt9vT1jf5SDxafc3eVD/KQdiOA3nqfCF8V3Olw2Gq9be5L+PbedeNv6ldzSdZhUVrx3mF0+A1eydnx3/qbXO6PKTVeUga1HuqA907rx2+6wuac/hNXXa8SDxcb7tecXV1XjU1dvjuHDW8mjNHfdv2ZTrvrgauNrt97nLs6KNz4zxvzrp7Prh6p/OReiZ5sNPLu+s75yr1e3uG0h7Hoz1jbc83e9r60lrKTX3faHT+uj5u+awHvxL1Yf513jV8ep4xV/EJVa2pa4XrMBPnea1iSMN8kR6Koznil/x0ORK+mif8uU77Gn47eZyfrobJF1eTHZ9UbvWu8Gh+N3/y8Ti/4/Hkobi5a9UDrQalherU8ky4ipe7d/pVTaguhJveKZfCT3zcPtLstCbcNKdyNPNHPqR3p97ELXlJPGg/5XRxxJ+0uhjK23BQWhU/VwfyUe1/eHzur0LdvxK1zCf3q/nUOq/V2sRV1wlXxag9ijPFEoeZj3i6OcfFze340fBoMFM+V2uqe6Op6YGm9m1vuDo7Xbs4qd/b/km8aM2dx/al+CW/3by7prW2DxJWOj/prDYepZqmfmpwU19Tvsaf9Hwg7akWTQ/unt+2zu58UL+258r5vFOPnfPtzmJ7xtI8cWr6Z0fPiP/yfrC8acLdJmsOJhWbXimPOzxtkdOhcw8QxVMdjF1/mgO2o8c9UMpDYL1JWltd7UFND8imjqkOO/3b4LfvTS2dfw0fF9f0f6uxwXGa076Ut9Hb9P5OfVotOz195iwQB9qfzs9OfdM5b2qWerypeaqzO/O0P9WhwaYc6ayRnuaMpLxneqDR/Lb+Zfxg+f36Gr7EeIUv3824uUfNuzzqmngoLipGrU0tLr7lq/DVXoXr+Kjcc83xU/qSfuJHORIn50+z3+GptYST+sbpbXphZ9/MS3O0nrSSZpc/Dcdt8mg8c/gKg2pH/qnYpMXxJWzK0eQhP5JPzivniesZN3dGp9Ka8NI8cSVNSo/zQOlRGG6u7Q/nWev7HE4z9YLi03B0e4n/evD/zvvsX4W6fyVqwd8W5msVnzivxafPJpfCTXEK2123HEm7m6NcKTblfRTX4ZH35FPiS32i8KmGDW6rt+k9tzfVpTk/rlebeieuqUak65G+SGcwneWmTjv1d+cjcWx0NGczndEzz4GmT9zZbXSnXm58b65397natt6dwUtnpDlX7hmQ+sf1mqt/wqbz4OpNvU+vJtf6Ur4SdYVPvlfxafUY48ZVfGKdeDMuvSuOM6fT0uhTXIm/0+N8mEP56zQ7TW6/ypHiVV4V3+afHJJ2533iv6NdYZx9n3NUt8Qv+b677rzb4ZBipnbnh8KYc4RF+0iXi21qoe6VLrWuMGi/88jlVvkohrATBuV1fBS3xHvGqZE4p9oovMbzGaPWz/Bs8FzeBpf2qBj1anBcT4icP/yvRC34FD5f1+KT9YxXMWr++t1Pp/FvbG5vwj7Oq1jKOT1wmBSbcu/ke0TLxDhbG8qR9Ls+oTni3dSB6rWzP/m0g9vuo/q3ZzT1T9KW8FJtUm3pnDs/0llw86nH3TkkvOaZ4M5tc17O1tL1ToPtzoU7Xzs90Pabq02qS+pR0tvEpz51/X0mR9t/O761HNwZTteA/cP/FQcvLy8/ub6avxWp9eNQc2r9Cp+Y09rM73i0HFVexdu9U17C3cGZnF1dWh9VXuLQYOzwcP44P4jzDqaKV8N5ofY5TKpl0n3Wl7Zubs8cpEHhz3XFlfBpjnI5vxWu8ivNq/2JB3mRfFZ61buKJw+b/M5rN6d0O17ttfOUMIkr7aPY3TX1rjxw+1W82ksaXJ2dbqez0ev0Od6K0yPj07shPTicEclQVQjXhJQ7FZCagRpL3ZMu4rGbs20qpZP8SzhzKP9SXsVhF4viEhbtUf6n/c4f5THVW9VQaWq0OI5Kl8JveoJwnS7Hx+VtdNJ1qlXKRxrUmotT64RHXpCXqS7kgatj4k8eprolzxQHh0k8m7oS/9bntL+pf+s97aF1qmvTC6SNMNx+xUvhutqR3iZXy60dH+IrUa+vr2stfiCo6zlckc8Wo8mxk19xSZwUB4eR+Ku9LkZhpkZV+C4v5Uw1b/OrfMRR3RM+8WxxqUYTt6mt47SLP+NdfsqhPGy8VNwSv5ST6p9yuvoRf3Xt4hMHhz/30bvSQdiJo/Pn0XwuRsURT8pBGlwMYbpr52HKRXwcd8pJGohD2kexas3VhbQlnu4+vdNa4tKMD/Eh6uXlxTZHMvM+N+MV3hxtUx9zKF6peZrmUjqIM/GYc4lf40/i7Wo3tVDdksYdrW6/ykOcmv5xeIon5VQ4dN/2nMvruDQ1cvip/qlXjjlcH7jhvCEeru7kk+JIfjg+irvKpXDJuxZP4bd53Z6dHGqf2097ld4d/g5nDtIw+To+jS4V4zxy3Bt9O14oT2md/Hc+kzduPvFLdd0en/uHyu8/WH4tfiBSrat5irmKH0pLeZb4QbRj/JxzvBQfxVnloJwNvtPScGm8JO5NrNOr9uz0h6trWz9Xi4RLfjiubp1wG88Sx6Ynmzo7DcmPpo/d/W4O51vTs4m3w25rn65dnVIf0J6mXq1XbX2ac9X0vjvf6Ry4Xk4cG5zdurd6Us3TdcvDnZMdj3a8Tc+D3d4QHv3wf7B8re6T/BU+Taq9CmuuKVzFK+VrOBK+2uO4Og5Om5pvMGgP6XB7XE6H7XoizVFM0kLcaU5pIV8dPxXnuJEOx2vGUTzFOG6p7oSvXqRH5VP5UyzxTToaDxuOx/vkidJGveGwW29V7qZOZ0aL2eRTHpGHuzWn+LTHzSksp0WtTw4ujjCTF64mao64pXvndeoLVx+379HxYT5E3YdrzLk+Y2h/KkpqeuKneKUGbps25VB8Xd45dnxtPHHcKA/xcvVK3jRrpOvMevKIdJM+0jL3Jb+TDsfH1djVJe1pdCmeDW7DTeVvtTScU07S5HS3/JUOx0tpIVzCShgOz/lHe0mnw1PcWk0qj+Pq6tSMppaOo4qnuF1Oc468IL7EXXlL9XJzqkdcvR6p0xwf4kPU/VccKKOO46xpCme+O7xdbopramyHT8V2OUmfa2a3PmPUe7snNa87LC7vMTbVI+VK2lI/uKH4pVzEO9XCxZHWpl8UZ/K87T2aT/pdHqePauA4p75QazOfwqe5xIlyEZ+dejifVKzKpeKVnh3cNm/i1ORwNSA9br/iQPtcDseNRlvHxNnpa/xJtWx4tHVQGCr3I+NDfIi6j92GTI3kTD1eJ4Mb89N+ahTSRjrVfPIiNVfi4LgoTeQn6Va5nFeENzk43qSBYhr/iJPTmepI+RVuoytxUdiulg574iZPWr2EtXvf+qn0O++bXG6kOrjaJU1NvUnP5EJ6aY/KS1wV5oxT6ymP0+3yJ99Sflcjxc95SnpcXShH4tvUg3jMWMdHxaoazlin13FoalGPz/1D5ccfLL8WP4C4zA+p0esafrCM1ub6fM0YxUnhE3fHQ+lMPFV+t7/11+VJdSI+jku6V9wc72aPq3NTI8dj15P37INWh8NyOXf62GHuvpwHu72wc26cZ663mnzNmqut09z2O/nVeuPO0O45T77v9HlT+9anxJHyNmfVnZOUy/FPZ6nR72r7HmfG+ZPq2Xr6Nvdl/N95x/tr+JvHjFPxKlbFzzmVa85dD5+SaU2Nlq/Cd9zTPscz5aE5xWEHI83P6wZD3Tdzri6qlo6z81lhuHyu1go7eUGxjhv1Bu1tuTst5KvSpOYmluPoesDVnnIrjMSdcB3PtJZ6g/YmT2g4LMWj7SHXE7SX8J3HCkPpanqm8c9pcLpprs1PPeE0Et7MTVpanc7f9+Bt9D/0f+d9mG/nOVOcuQmP4p3J6po4NfwJWzWhytPoOtOgyQPCd9g7NXN1Sf65fWqloKFYAAAgAElEQVSkujgulJ80zHXynepGGIoTcW59b9ZJG+ET95afw3F1U77Qy/Ekf10OyjfxWp8TX9LpYhTnycPNNTkJK9Wh8Vy9O87Oa6dBcaZB/UA9QXvdPoWf+CfdTm+aI1zK2/Bp7lU+xzHlf6/xIT5Euf87T80fhzNPFZwwyFQqGuVJzTr3uQZS61NH4kPvFNc2o9JDfihdxF/lTfVLfEiDq/uMaV+Op5vfxU+eOY3Jf8dLYVKNm7xUp12vGr2ER9eETfppH/GaQ/mbfGo0qbyOf4tP/aByO9+cz2k4DokTxVIdXKzinurZ6HQ4jkOji7jTXsqvOLt8Lr96bzmf0fQe40N8iHp9fY1GHNeaptstUDPOFCQdFmqwyVXhuDmnQeVt80wM8oKwZ6zCo3xzT/Ip5SI9DW+F29TAxdDc2fumJipv8s/ta7DnIJ7tvrbG6aX2pvWWM+2jNcpBeh3fti4p1sUnTkovYU+cxM/tmVppj+Le8qN154Hi2tbQzRFHyqk0NHxpkB+pT+aa8zPpmDzc/LuMz/1D5bfbbb28vFQ/3LjgB8eu8ANkhNXMJx5u/YihYom/wtzBaPY1fjY6G72TB2ESH7pv6kXrrm/c3l1vE6+k8Wy9iAfxTfwTN3cG33Oe7t1ZaM7cI32ncjX1amqQztlO3KNntunr9iykuijvKMbVL53zpg9dT5D+trbko8uXfCa8nX50eXfOmqtr02vOx8TT9R7U4cv4jeVr6b+hzOtm/1V8CnWvmVvhET8VQ/Fqr4txexuuu1wUN7fm+BBfde0wm73kRZpPe9saOz+cftLiauD2uv1OI/FQ12e0Nbp2/FN7znKkejtfaX/jgZpXGMTb1ZbwCNvFtrWkfQ1PwiYOqjYqJ80RT4Wd9Dr/nP8phrS5/Smf82yuN3uIW8pxxHU+z3nnM9Xe7d3xrhqf+6tQ969EXYu/EczX1XxqnftmzIxPmA5r7lE6iL/j3uhIPJUex4H4J66td5TTxbjaOd8U97anFD5xpNxpb9sjqcfpPfVue9Zcf7R+O09orT1XTX+kPM1ZdH6Rh3T+Uv7kjTszOz3v+qHhRmeavGn6fKdOpCP5Qj4lTmnPTt1SX5K3TnNz/lK/7pwr8izF7py51gN1Vhsf14Nfifq0PsCgn4m6hk+fxzm1pvY3WOql8Oa64+z4EIbTr3JTzqQn+dTkJ047frR8HObEUZgNv1SDY1yqH/XNvKf6uD2Ou8NPdXJ+pTXHVXmn8js8tV/lob2kj3i6PUm3i1F5KbfCoJqRZoWVYmZs4t/UWuWg+8Q74bZ4Lp7mUo9QHtJANW16ymlxOUlLg+uwGn0ql5ufI9W99eLR8endkN5hpCLvNMjEU5gu11xriuk4TA2ESfsSf+LqPKB7tZZykOeNPtJLeMo78lXFpbWmb1JNCM/VnPTMe8JtvGxjlMeNBqqNyp98c3saTg7Pcdn1TdXX+ariWv8ajkp38iLd7+hN+xuOhKfiXE41nNdpOI8Th/f2IPnr6uX4q/zE2XHYqU/qEfLB4dN+5+mZ8emh3e88nLFJeDKNsFyOtH/yoTWXS+lWnqScDU/lofJR7W94TWw377DnHsVVadip086cmm89VPwbf8kHNec4KE7JV+eL4t/qn9dJg4p1dSANSWuzV90nra5PXA+QZoXj+DlsxdPxbjSmNeLttDT1Id4KL+Vp8jrOVDOnaZeXyul8mZiUh2LbfnDcSBdpdXkcT8rf9sOp8bl/Hur4M1ErfI953l/H91vVnMJQOeZeh+t4zjXan3g5Loqz45F0kGdqX9Lgrr/POibvUm+d8cr1jsIiXan3qJdSD5DuVM/kd9KiciWtDb7T3vTuTm+5GjfnvqnZjo8NR8c19Zg7Kymm7dPdM+vwU7+nXtmZb85Io7Otd1M/pdH1rTvTiUfyM52Xpu9Sr5/VTK+x56GfifrsH6But9tqDldqemeqO5ypIZoHQtOQzQOmOTDp4dA8pBotzb7mAKSHRjqM7UHfeRARH+dLc6CbQ57eXf62Dq42TQ1d37r+JG9aX1LNkuftOW64uboSTlODHc8bj1IPpv5wntA5Jc3uTLbc07lM+VIcnelU113NbU+15y71W9KQeqDh5zwnbru96uqV+Lo+o/56e/3wf8XBy8vLuoYvC9Mcvc94dd/mVOM6vkxIuGle5Wn3uL0NP/J1vtR62rPDzel3eolno9v1QeKfeDmuTQ7nvdKoMOmacBq+U1eqoasL6Wr2Uh0Uh6SJOM119aJcyaukhfxQc46vi3d1JI3EV92n+Ya7Gslnmk91dnhzv6sfzU18hdfq2Lkm/LZXaK/TQR7QuuPu5h2nOafWlOdnxof5D4iT+Pu7K/ScV6NtmDONQXlcjNM9sRxv0powKSY1V/Le5d3htDtcLSk/1arhkfQ3+ty+VKd5T1oJo9XotNKe98JNelNs8sd5v4vvcKknko80Gm3qWuV1XjgdLk5xnBzcXhXb8ki6Kccu9k7tFZe5L+kmHQ7fxbVeTZ2Ot8JVnkytxFXtIZ3Oe+PfQ/8B8Wf/Vt79Z6JW+LLiVXy5br4WfCkwxdBr7klcKLfjRLmaPXNf6wvlIu+VV63vhOt0Nrodv0cwXD13sFWvOL+bPk/5Xa82Z4HyuBpTbzT97vot9eMOjjszTT3OYLmz2PRci7977pq6NnVO5z9xbM9OUwPS354ZV5d0Npw/yUenoznHro6pp874TJ4lHtQLKbfLkXqRYkHbl/F7otS4wqfgNE9x9H6Mv4pPvXNurieMq/hErOIpP8UqrSqPencx6lrxaDgpr2lv8mniOIw0SG/iT1wVR1cjxZ3wWx2UO/lNmIm70kGxqReIO2lIXF0vqeFq2upxWsh7V/ezc8SVOCRtSevc7/KSP5RfYdK+pIPi3bXyImmmWOeJ0kz3qY5NnlQnpZO8Uu9tzompsJUXxEn50OR4ZHyYn4m6D2qI47VqvKYQaq25VjlcI6qYZk7htM3T+KbyTX2Knxq0d4cX4aQ16gOnN3FN3iv+CXcHu+HkfN0ZOz7SXpojrU7fxGr8p32Um3hODcSNatDU1vnicimMFE+6E/8U57jMmMY7hUs5mxo2+mcuN6c8oUHczvJq3tX+3fo6/yanVD+XW+WjXBOLvG94Kx4u9vT43N/Ku//rvBW+BHfd+JLf3Efxc23Bl/yaHDu4bo/jP32Y+52GXT3zXfmYvCbdKQfV7CwX8v5sr6k6pP6hehF34rbDkTxPPdL0RdKS5lM/t3V054Q8dTXdrZdaSz3hcia/Hdf0XNjtd+dxc76bM7irpzknqZ/b893qdO+JE3HfPd+PPAeaft85705/2+d0nTxrdY29P/x/nbdW9ze1OU/XLdaMSRiKq9o3ebl5WpvXpF/FuBxKI8VRTMtJjbmHtKcecNipXo77WW5z/8y/o23WMtWLXg7L+aByqJx0TbncII9Ip+K7WxvyInEnLWqePCdclZf8bTGdjqYfFAe1TjWiuqQa72pytVNrTmPSp0bKkeqpfFP4lI+0Jy2uVlQDx8utE3aDQbkUb1pv6rg9PvdXoY4/WL7Kvw0u+KQ65xTezLOTa2I2edR+xf8YP19qv8rtuFEOpy3dk9ekj3gmrOSzw6VeofXWN4ftap3q13B0veDOkKtR40XTty6uyd30QtN7O3XaeTYkPrs1ds+ZR3xt8Hfq0zxDds9G20uuv1veqcZN/7u+2Dmf1AeuZxKnHW7NeXN9m3rJ1dT1aFOfhm/qfbH+0FeiPsSvOPjqq69ux/+EeI5r8TeI6+Yn3Bmn1hLW3J9wnA6Vp92r+DndKrfL5bxIc5OL4kRcmuF0K60Op8FuODvfqT6JK8UrTlQ/4kT7VC5Xe4pt8qq9jkfDUeHvcHW8yBPCI2y6p/xJM9W04aPyOM8eiZk53Vw7n2JI44yl+aShrXHTJ0mHyn3G75kr1VGNnbyu5jv1c9hNvUfMQ7/i4MN8iPr666+tUfd3MlrFujXXLFS0ttAKi/I43KSFGlPto1g1qBF3tCodiZvbR2uKp+M+eSa+Tod7zTxzj1qfuoh3G7PrMXmYMFo8x7PRljAJ/xir9FBNqD7OY+Wf2+M4E0/SRVyU/taH5A3FKHzSSnrdIHzncfJdxTruam+Tu+GW6ks4ag/tpRykvekdqn3TFy6v49toJQ5v46EPUR/mZ6KOI5njro/v83rO0ZrLSbkV/syV8pJ+yp8G8SQuSrtqyAZX3c98iXM7n2o29+/wSjx2PSCOhNfkVHEuRuG596Rrzru9CqeZd/Ulf53+9CKshO940Tvxp7jEhThPLg43xTW+N3EqP3FQWlzunRiqJWEojirnfCdPKUeTX8W5efJf5XKYhOE8ovw7WIqfit3R98j4kF+JWisf5OPcXKemnTEOLzWrKw7FJGynnfbT2pmmVe9tI5JWh9N66PQ73c2+JrfbR3kJnzDcGnlH+VNtlRbS4OIVXsOR6kR5J1bi2PBosXf4Nz2QvEo4rp6O83Fd+ZC4EgZxmZxSvZ02qp/SnmKIL2lz2G3etM/5kHBJR8J/BMNpdB66Qf4c3xVf563aCxp/+N/Ou1wuP0UiFdQ1QHM99xLWzN28T55N4yae1JwqN/FOXF2MwqI5h+eulS7CmPEqf1tPtYf0NLVyeZQWpSvto9xUizau0dT42mgh/5OGxL/Bc3tJT+I03533ziPn/eTTap54qT5qj+PjsBXn5CnpUvEqN3FPHNpYwqW97ppwWl2KY+Otq30TT/vc/oaf0uj2pVjaM3J/Of/tywr/MuEa/jXE9ar/NcDa+Ml+4tDiHecnJ+JJHMiDRgd51fKeOPRSfrjcVF8377i6HE3vqFwOr+ml1D+uL5KvzoeUg7g29U71dT3c9LHz9kx9yRvHp9Xi/N85V7vn2J2bNOfyppqkPnZ8m/PanPd0Nhoc4uv2Nucs+e76rjlT7uwrjLaeqU9cz+7Uullve5bORMsdavll/Z4oNU/XtIcwKfYqPjHP+5Rf5Uq48z3NJY8Uz4bLxHEjeU68Eu9UT4ptfFHcm3eXh3KrHlDz6t1huLxNXRuMhiPtUfvTnPOXcjpdpO2IpfYrnUn7xKE553mjw3GieOLg5hXPNE8cHX/Kq/Y672hO5adczpcz3iXutE9pUXjq5bS0elQNiIPak9YJj/areBfr6p5i32V87q9Cza9Ezde1/DR+FZ9EKVbtUfNNjJqf+xWfyZd0O0/UvdPe7lG5Kb6tB/lKNU58qUfSvfMu1bl9uTqn/nD9T33X8m+8bM7ebs867m1fO5zkdfLOnQPXB2fPmzszrrddLzkPGv67fe7q6XqKeoP8dzVIeG6ezmPTh0m769l0hpI/pIE4tH1LtX2PmqXz2pyJ1LNuf+Hvl/uVqKv4dHuFT61qjebmPpVLxbT3pK+Jdzom3xnv1l2OJpfir7BVDtrjOKj3do3yqLWdfJOn051yNVySvw2HVF+lmfCTNsV/cnB7KEfSq+JIN/UE5UjeKV3J08b/RhdpUP5RXsJ28YqH4kwczvJzfBUPtdflTLomN1dv0pyuk8+Kk9KW9DjObd2VVuKU8juv537yjdaT3kfHp3dBeYfRFi41ntrr1sjcpnCKt1vbybPTEG4P+TQ9UfHOq6ZeKo8aTqPSQPp27x2nySFpVtxd3Wmf4+X0uxh17fxUORsN5E/ymrwkjjs9oPgnvBSfeKc1p3HGuT0un6uFw3F6mhi3d8fvNofiRjydHlffVI/jfnXf8Gv7q8FoeoTWk9bUT2qeuKfeUnpc3Sin4+s8bseH+dd51Hz3ORpU6BSfsMlk1xS01zVmy9k1iGtexYX2UD5q4BTveDR51XDrlLfBmxipfrSmNNJ+V/cmTs3v6G7yN7GTi+Ob8qg4t8/1m+NP3rm605ri5l6Un7jRPvVO+ShO6aQ50jfXVA7aT5poz7wmjikPcU7cKafjQ/VSnFwtac8ZPal+Mw9hzD2Oj9unYhq/1JzzDjC+nF+2ebZhqBizAWYOZXTTxJTH6VDzDkPtaZuvGcobx1PlJpzGQ1Vj0prqOHOS1pRbaVK+ON0KOw3FQXFJPeBqqXKlWjr+zlM3Un6n64xHCW/OO5wmf8vL7VW5HKfGD9Lb5HcYTsPMMddmPtJAvBQeaW4xXa3P1DfFnfFzDhVH98d5l0dd72C7edKwi3fcp2rtatlgt+PDfCXqft02y5n747wrpDsQFEfrNOeauNlPWhSuytvoJMxUm9TAjXcNruPohvNo1zPiQjndS+mlPG4PeUa62ryubi1nxdFpSLqTHtJIXF1NduuVcp4ZrffEw/FKsbQn6U0eNPVOPUC5JieXJ/FX8SoX6W35Oz/P5DvOJS8cluKncJJPzd6d3nD8ku638WV9JYrmkzlNgd3cxHA81H1qLBXT8KGY1Hwun8o11xo8h694k06Vm2pO9U7zk0t6J/3u2tWWcJ0vjj9pVHmbe4er7tWgWhE+YZBWh5E4Uw6Hk3S7e6WD+CefFcc532qfOt2105S82NnT+KZyUO0oL/VCwlVrO/3h9ih8p63VmOIptpmnoTiTPrXHaU+8FEfyj/ieHR/uQ5RrvDlPeylO4d3n6b3NM2MI2+EnzQon6SZu5KPioQZ52Op27wpHXSePaC7FE27i1ORxnBoPdnKQ96mu7v44TzkdB6eZYimGcjstKofj3dTDaaBrykVa1Lqab3Qp7JTjuKY8oLWduebecVf4imfDQXk5cYiLqoXj6fKrNZfDzRGHHY6OU8Jv6qJyJv8dFu1JsTvjw32Icvf3OVWU49qcU5gTh5o0FSRxb953Gkrxa/xw+2htzjX6aKQaJQ2OV/JLaZzX6Z7ypNqpOLfX1UeNpsYu1+Tj5lzuHSynkfDUOmlUeMR/YtE9YSn+Ln/ja1onncnXxIvwKH+Ko3VXQ4XfcKb6ubyET3kIl/anHE1ulcP5Tx7s1FfxSHpVHsJwfGif4+P8bjg/Oj49jPBOoy20a0yHlxrqGNPwaRpXcXKcVaxrxLS/ba7UoM6rnXoovCbnnCePXa3b/Cm+4dnEtdznWsJX3rjapHwunrCpPg2/pNftpzV1T1rJ88Y3N68wVH6FkXwkjirecSEetJ/qRN7SnMJQOud662/yJ/mW+Lrh6uR6yOVM78216itXxzOxrV/kkbtue6Dl/dD43L+t/O0H26vf9LrgN5Fex281vZa/3VTlVHFqn+KSuCpelFvlaLmr/ORv0k6+Om+IR1M3x5veHT55kfKrvK7GSduOZ8kPd7/jT9ObVIPUX7TeYu/2uvNsZ4/zgWrs+mIHv9Xoeizx2ek911up587wSXNN7VIfNWd2t86OR3NmnZbmjBIXp9f1jsNP5y356va2+V3u5kyKnA/9xvIP8a/zvvrqq9vr6+tP7q/w6XG+q9g2/hr+lkf3bs9co1wU4zhMHLVOHJNHSl/jy5xT/Bq81g+FS9xUTopPHJ3GydfV5pH6uXy0l/ZQnNORPGj0K3zCURrbONqrtLvYHc9TfjWSV7txiUPTG1RzdT/5pT5wNXe13Z1Luom/07Xjw8yt1lJsm8txTFwaXc7j5DdxcvOJU1PziVPw+H7/dd7lcvlLl8vl/7xcLn/vMPdzl8vlb14ul99+e//Zt/nL5XL5i5fL5Xcul8vfvVwuv9CQeH193WqcY4wrgNo39zbraaTC7RaVtCU+qQETd9egypPU9Km5dzk6zMTVYTZrjvsjtUn+uhhXM+KueKbaz5y0h3Tu6NjJ1/QCaZy8SUfK6fi7mjYad+LJY8Xd1WTG017lL+Xb0eti3XC+uTlaV/odZ9p7XHO+Jz8nTtLQ+Ko4NHFTJ607zMQ1+afuCTNpfHgU32r7d9Zav7DW+nuHub+w1vrVt+tfXWv9+bfrP73W+utrrcta65fWWr+x+x8QX8OXQhd/SQ6/DKiwKHbOu/x073hSPqWdYtx64ux4tZgJJ2lKdZyxTX2JL2lreuy4TtxTr5APCreJdfvcuVB625onfxqvWl9dvZMXbn/rkdPY9HvDk3ounTeXK/VW+757Ns/0THPed/rUcd89u44TYae6Jh+TbtfD7gwRN3c+HP90Zuk8ph7byZnqQb67Plt/GN/Ou1wuP7/W+qu32+1ff7v/8VrrT91ut9fL5fKy1vrbt9vtT1wul197u/71GRfwv0Piav7WR3FNPOHP2ImlcJq9TosbiV+KczmdR41/CVfFtLj0ThpJr5rf7QVXg7SmNDo/5jzxc/FOQ7onz52eqYu0ks7GO6od8Ww1Ky7J49aj9CJearh12p8wd/Edf5Vbedi8Eze6bvTtDOqROZc8S2u0TrFNvNqvdBzX3DVxVr3gYtU6eetwqf8aXwoND307r/3B759fP/2VqH881v/R2/tfXWv924f5v7XW+kXA/JW11m+utX7zRz/6kfzkuMIn5WU+lS74ZNpcO9yr+CRLeebajKP9E9thOP47HineipfaQzVr/Wo0kReqhmo+9Q/hJU7Oy1TrZr/r5Z3aNL3uMJzXDqvJs3sOm5zEI53Vtkff44w6X5vaNfuSJ457OnON7jN+UF2aPTtnIvUEeZl6peG/46Prz9YnV8vdM+Z6hM7s2X5ONWlyOj/fYh76StR7f4j6a+u7H6L+ZPPtPHdAyZB0OFPj7R7y5kG1mz81RGqAlLvBbB4SDY90wJOX5Gl6wDgM96BwtXAcSO+jD5L04HL94/Y1/db0bXsed33dOUON5sbfpCtxa2u2c6Z3etP1WetVqqPzvTlbCsv1UdOvZ313vbtTc6fn7Blta7JbB8flDP9Uy/QMcM+XxteGr+Nl/PwsH6J+vNZ6ebt+WWv9+O3619Zav6zidn4myh2Y1DCuUO7guMI3DdgcQjpMzWFIetz+xNkduMSjadj2ALmD7LjvPGgcR+VTc8hdr+7kdw8HwqReOpPf+evOH3njzkbi7vQ2Z6nBaPug6T/qwTP96mqWzjRpT3V0vrizQeuuPm3/Nj3v8jf9mZ4XzVl3/ePq4c5pg031TXVycc6ThuNO/9Be6t22/wjT4D/0Iersbyz/K2utP/N2/WfWWn/5MP8fvf0rvV9aa/1e+nmo47iG7+PuxM991/F90ZR/xsz9Cm/uVfOKD+1NOSiXwqM8zhMVm7wjjmf921lzgzg0ftMcaWq4JU+pbup66nF4riYu/9xLOlz+hqOqC/FpsF2NKGZiq1w0p/i7uaRdXZN+NedytfftSN4nro/koVzHdef/xFfv83rmntcpd1Nzykm8m3o7zW5Pc+98Js2NrlaL47TTA1uj+CrUr6+1Xtda/89a63fXWv/xWuufXX/wrbrffnv/ubfYy1rrv1pr/a9rrf9pwc9DiRz4Kf46PrEu8SlWzas1elF+ha3yqn0pD8Ul/Sp3s0/54DwkPZTb8djxy/Fw3Fxs0kneUb12+01pT73kOLr8zqeGW9LbvFKuVIt0TpzOVL/kYzrLqVY7/Z78cThtbZpz2vSbq21Ty+aMNuegfS6k50Wrfefc79TA6dnRmXxufHXaU680+pyXjb7Ug21PGj0PfSXq0wrjdrv9Miz9uyL2ttb6TxLmHC8vL+sKfys7DjdP7+6lsCemunc4KZbyNPmnPhU3MVUO8kflc3vVUHsUtwaj4eZqoGJcTse5eRH+1Jw8orzElbCc14qzek/+Eh7xdfsVT8I+48fEpP2KD9WY8pEe4q80qBfhNLkbDxK+83TySHlazq7mFEe+kKfkbZOn9bnNPfM4vJTDcSafHI/ESXFxmLv51VBeunfl1SPjw/0HxFOQapidtYRNZhOOy+8aWeE7/o5nq8Vxo70tD8WFOEwMwlW8E89dL3bq6/CoDjNG5XV94rCdvy7nmZrt7k266J04JM+dRzuxaZ5iFHfFm/a6OPJ3hzfpUD5RzlSriUVcyLuUv4lVvJyfilsTp3SRXuKtYtM+57XywelI2A1n4qF8PIObYme+1rcG/+z4EP/ty/33RDlzXJFcEVSB3ZzCpabcaR7FzfEkLbRX4SptKjbtJ7zWX4WT8jp9rR5XV6qti3OaiJfjoPI6n5wWFZPmKGdTS/I99YJ7V9rPrpFO0pI0Ut62fulF+1PNyXPS7ni6/Sqvw210Om3Ex2ES/11vGh2EveuxmifNip/KkzxN+tQ66VBckj7iSftTfsqh+EH89/vfvnyOoQwkU901NSKZq5pJcWuaVOG1+POadFGc0jr5NBxbjS0vp5XwnK8Ko9He1qXxvfEr6aecMyZxVrVwMY4H8Xa45GHjE621uRus5IOa3/HW5Wkw1HqKP+M1DcrZ8G/zJI4JX91PXJfP6VA83L3TNvPM/S5Oxbgcyg+Xjzg0XqX8jr/zocVI2Iqzw001bcanhxHeYby8vKz5HxCr4t3vj3HH4QreNNrMPYfCcQV2TeSum4Z1/qS9SrfTtIvVeEq+0XWT3+Wgurn6ET5577SpHIpLwkz9QTGNbqcxre9wp7xuv+JBtUu5iL+L3a3XMUfCUDqd540O8pD20lzyxvFKnqjY5IGLUeuUm+rh4h1XNVwtkhbiqvY4HVRjV/O5P/k9MZOmGTv3EJeJ4/S0nr3H+BBfibp/gCKBqTF2GpDwXHNMbrQ/NQHFpWYj7NQY1LSKY9uIO9poTelwnCkncVd7SJ+7ntyJB/FMNWv3qv0Ty9W3wWo0ufjJW/UA4TkODmdiqFeD42qeMKgfHL7SodYSNvWC0kfvbo+rT6uxwVHXiQ/hOV2Js+uDlrerdYpz+xOHBlP54HCbGtMa5aLaOF4tropXeV1dz4wP8SHq5eXlJ9dk+v1evc99c2/TDLsFTFzn2Gk+pTsVPXlDHBq+iTt55/AovqlZan7lHa2n/cd8xMtxT71E2tr8M9blcfepx5SfSmvi3eSn2lMdE6fEYfpCWilv2ktYxF/Fu1yEmTQmjs7fmZM0K35n1lqNxOeMxw7feUz8VZ5U4538qV4uzuVx+Z1njovzaYf/ce/u/Lw+Oz49jKVlIZQAACAASURBVPBOo2kudZ8wVPzZos9c7T7i67xIXHd0U9Mkra7pyH+KT1rIz4SpBuVUHJ1W2jPXXF2Ij/OIcqhauViKa3B2sHdqp/Q0+RR/hU3ryYs0NzmpuLZHySPnY/J8d5/ytvHbaVVaEpbj4/BJq+JGWtOgvC3/Jr7JQzpT/plH4akYwnR7KKfzQ9WJrlNeh0W5mx6oxiO/ZOq9XmvzF3S5ObVOWHN98qA14kc51H6Xt11P98SRPFA5yWvSflYTeU85VX2cvsZDt4e0Nr3p+O94Tp6k3DvcCLP1rzmTKc6d37bPXE2b80uam/5qzsqu1lTHnZ51PeNyNWd494wmPwi/4ZDqm85D0+fkSaqf49d4QjzS+Wx7ozl7rqeamrZ9vBPvfDEefZb/9uVdx/2XbarXWt0n9TmvcGjP3Odw5x6FnWJU7h0cp4s0uPUdX2mf07TDt+HsOCouKcbpovkdryh3q2M3x5xTPqR8pD3ldD6dxXQ8Kaerr3pP/Np6EBeVp+kDxY32EO/JxfEkfHrROulXXBvspMX55Lx39UkaKM5xVHsV39ZvN1J84kTeJCxXl9b3hEV+0BzlSh4249PDCO8w5r/Mm9fKwOOgZiUDFfaZBlK4pCFpa4uvNKf8pJ1iiVPK7XgqrORHqtEOb+JPdabr3X3kP9XExTucFEPrKndTf8eB9tBc4kC8d4brA8d77qGYJt/cq2qT1lwtU/0bTak+aX/S5XLNd1ebpm6NhpRPxVJ+0kb4lGPXN9KtNBNXl5cGxSTuu5wStuKi6uPyPjI+xC/b/Oqrr26vr6/SPDJLmUMN2hiYcCifGo6z4ue0TQ6kb8aQj2nNcW70Ek+Xi3BSjnmt8B0XxyPtUfzcPOVw3iUvFeZ8Tz6qvU09FZ/0TnOUK+lovEg5lY6ky2EeeZEO5zvtV/NKq+OkYlJ/JD6Uk7DUteNK+9RIHipO8z3VmPwhHjs6dng3GKSJ/G+uVT7FnXyZnJxexTHpbLAEvy/jl20601RBU5EbvNSoKt4Va2ekZpnXjQeNHtXg854w1P3E2Gl8p63R5TyktVbnnEucyV+lOeE4n5LPZ/Y1WpwGwnN1cbEJg7SRluSnyq/yqbFTB7fX8VAxDReqo8tPmI5n8pJyOn2KL8U7DinG8Wp8dHrcu7omXOeN06uwHa+2Tgk/+dXWyeVN3qn4Js+Z8elhhHcaTgwVTs2l13FvU8yzo8l1RkuDr3jszKeGVfwIo61BW6NGc9o/8zptpDXFNB4qTc4bpcfdT1zlkcrvuJGmRo/K3filuCqdztcdL9VepYn4Uw4aTjthu9wTi3Q5ruRV0tPEu3xOI8USpronfPJj+jU1qGtXk4aPy6U4ppwqb+JE+V1NXN5UP5dXYVIc+eI4Pzw+97/Mu91u6+XlpfqXLkv89L2KV+tX8VP6c27upTiFo2KdBpe30e/iJi/So97VHrpvcJxP5JurL3nc6FBrVDdVk8bLdm23V3d8URpd37gY5086S2drmTxveO2cPYfnvG/uU1+1ZybVcSfnTl/t1tnhnu1L2t/2U3NOksYmtu1XqkPytO2lnT5r+oZ6xtWMPDtz3hKW6+nk39v1D/9f593HNXx6nnHzfQfDcZgvl0vhu1jSMmNIR6t95nM8Kbd6Jx5OF/Fs6rKjafJKnrlau5pS3Rttzr9Gj8Jp9DXzhE1+kAfTi6Sf+DkuiT9xafOp3E63qxthkTfk1cRLeRueipurKXElbs6/tm6NnwrL1VXpUOtOt+NAdWg4EwZxV/tIQ+JFuDuYc440Uk517zAdD5WX8E+Pz/1VqPvvibqaT6ZX+PSpYhUWYV7Dp9SZz61NLKfD3ROnhp/a33hAGnZ8IO7EifYp3a2fqf4pvtlLNWx7s9GYeqDxo/G/iSOuiY/Da/qi0dv0Q6vf1bR5uRqkPiKspk9cTRqvHGbDjeqWeiOdR3eWzp7Btg9c3Rzf1EuN367vHI7LlfY1vp/xtum9Nj6dF/Kh7L+HvhL1If513uVyuV3Dp8s5d934VHk1n44Jn/bucDjOXcWnZBVPuRym0+rmaa7xcV6rl+Kh8qr49D7xkl6qn6uRqyl5kuLTPjU/+VOM0+V4K26ESTrUXreH1hIHp9FpI38dN4dDuZoaplinifxo9aZ7wk/8lC7iTNxVPZSulJNiFG6Kpzok31RNZnzK0/rVeOdq47g6LsRdYexcN366niANJt9D/zrvQ3yI+uqrr25ff/11bJo5XEOqddeMat3xmTwazIZzuqYmppjWo2aNcJQnLp72NrqT14oDeZbwdofzXnFVr8ll+kF81TXtbXAa/lO7w6V40uDqm2qa9KjaJizHTemZOOrltFOM4zznd/irOKdF3aeR8tG6w1A6XT6KVThJ106cq6XL6zzY0abwiIfCTFwUr/ad9jZzbp6wBe8f/oco9ZWo1miKTzG7BTqbg+JTnnZ/aiCHp3KrdYVz9kX4ipPiRl45PW5fytt4nrxXHHb4O97uWuV3Y+Z0fOa7q2nCorwTS2kn3sTN9UXrbcJv+bnemFwUjvM34RM/lSthUx6F5+pLe4mX00qxjk/SQblnrKsL8VNxqU7Jp7Zf5nXy2HmpOFNuxTntmXwar6lPDnu/nA9RrmCuIVzsHLtNM7FcgSjG5aXGo9i5rvY5DY6Xy61G8tlxPsao+x2eDd/UM3Nf6gHKp+InHnFo8AhD5Usc1Jrav5vT9RuN5ClxcXjK35Z/k6f1kbx1azPOrRNm0nO2z8ib6QfxoJykQ2G3uh0Xt9/lVbxpEK7i57Ql3GZO8afaEBfFh+pOGpQnirPar3jQXMI+xH9ZH6LW8oePCk2NSjEOS+ERLhXN5VN41GSJk+Ix49260+p8ovXWX5U38VT4ygeHl+qYeCY9Klfiori5Ojsuu/Wj3Gqf89LlTPlJ54xVGA1fxY+wHGe3p+VHPpNe8okwU37CVHtT3Yi7G9Q7aq/CVbHpuuFI3qT8qbYuZ8NH8Vc8VXyqheI/5xQXx5l6w/FM2KRdYaQ5yP/Qh6hPZze+53h5eVlrdc0y46gorilobq6pdVc8xbnZ63i1PCk/xVDelJswpzbHm+ap1sTRHIpaf4pxGhRnxZ+uHQeH6fhRDvfuRsuP8J3mM9zdHrfe4DSc2z3qfg7CoxjK3exx3p7hRPEqzvmTauc47fpMXiotDtfdz1yJj7onLakPnC8UT6/ENWFQLuKcdCodtF9hOC8Jox2fHtr9PQ0qGMU4HDLemZ8awzUcve80odO+o6n1j/DPxtCa8jz5SbwJJ/EljFQf0kG1IPwml6spaVd4M6apK3FRmArf1dHVn/So/UlbepF2lZd4kqaET/Epxml0nJ0+lSPFUj7a6zwknilexTY4io/Dc5iTX5OjXW9yE57i1XBXGkjTxCFMtZ/ulX6HqTgkram+p8fn/h1R999Yfg2/C2S+rvB7IRIG7buK3zsxcV0M3Td6FIbK1epVHInbnG+wHE/yjnIl3xtuDa6rTxuj+oFyUT1bzZRrp192r9u6Ot2uFjs9tNODLnc6lzTX5Gn8cD65ZwD54J4fOzrdOWh6Pvniej/5nPrKYTqvk3/vUS+XI3FOPe/8bOvS+Oj8S9hNvZxvLsb1KJ3Xhsd68PdEfVofZFzDp9Nr+ERLcy3+WV4zVr27a8VdxdI8rSm/0kj+KRzyRuE1GohzqjXVo+VN62qkfnA5z/hLftA+x4V8dv4mbNKS5hSe4+ZqlWrt9B33JO6U32lraujqTriNtkd00rqLc5qafAmb+kDlpbol/4gr5aYYhe/6wfFUOhN/2u9yUD51rfY6vYo7cVJ62/qRt07HI+PTQ7u/p7FTaGceFSUVzRVJ7SeODX+F6ZqM8ju9KY+LdTyVTsJquKicjt98T/wnxuTh9lJcwiB+tE/xpTyPej/zUBzlcXvnPK3R+ox19XT7VZ+4nMm7mVN55HSkPC5/uzY5Kh5NnVPNGm4NzwafuDacUp0Ju+G061l7TzrdOnFp6kvXNNfymHuIR+ODGo0PCpN0nhmf3gXlwfH6+iqLqIx1jaH20HuLfRxN4zRNRPcu3vFxc6p50p45R165Bk34KUezr+kZh0PYTqPjRDVyvaHuaW3iUkziQDGOs+NGuhIWxVAON09zTpPLm3Aa3o6n8t9paDS5ofTNa1pPHilPSJfKk3RQ7t245LHT3Oht6uFyujGxXV2afmjxXbzaRzx2/aA11yMq7w6Xs+PD/IqD+7Uy4DhU86rhjKQmafDS3rbxUk6F7xpExVJe0uL2EA/S0jS6GsRF7SX+aX7HA9qrMKaO3b0Kg/i7dVcHVy+qyRzOI+JGsaT9GE/e0prDdVhqnrjNHK42DYdmUM+c0ZxyNPcNF4VPWhxGi+1qoF4zlu4phrimfYl7s6Z0pBiqnVpruaRauvh0T3gutvFl8Pnh/56o43/7okZTVNcQak41lcuZmo940F6ac/tdPqVJDeejG4ozcXLzTaM7fymG5gib6k88E8fjHsqrYpra7+Ry/N2cu1Z8En8V12Inv+ldYbt78kHFT10Nh8arM3ikyeElrKY+iZ/STNrVPOGSPzs8Kb/S0OQnDolf8nnmcn1CNVb5nX/kS/J3pyZn/XM6Ut+4/APnh/97oo7fzktNk8w9Xrv9KddxEB7Fuvxqj9qfONI+xdnxpFwJI+lOeVpOKk7lczVTc+6VcpA+WlO5E6YarmZtbhqE0+jd4aDWiE/al3LPd8e9qc+O945f8tDlU2tqb7qmHM28w0iakl6VJ9XDaSPeDmNXe6OPBtV0riuNc7/DV/NUu+M68VTX6Z3qlzQoTskn0ub2nR2fHkZ4p5Gari2AMyjFt7yahqLmdFwSD8XHNQ/NTTzio7Adptqj9jvNqQ9U/OREHJ3f5OPk1PJTep3/pEftT3WcGnZ8b3k5X6k3XF7HmbQ6bpSr0US+kU4Vo3Km6+a98SrVPtXO8Vf35IfTl+rseBBug0E1Vvdur9JDnBp/2vyKq8NzHJxGwkw5zs4rnpSbdJDGhPXo+CPvivZOg0yf67R3N07Nu2JTjMpJTeI4E3fFQ71UHlpTWGk09SEOiot7OVzXG4lfM9966WrvuDu/Gz8anmqe9rcxTV2mLw7jbL2dR67GiWvDU+lznFKNnK7JK2lseDS+UF4V57S1HjQanQ61pnK1vBSGq4nDTR42tXU1onfnU8PHaSOOyV/yWe0hPnOP2k9Y7z0+zM9E3b+l54p3nHNGunvaP2PonZpvt2ESFt07fak53Vw6EMd40ts0f+O74uvq3vhIo+0rqmfTV0oD+UVYtFfVgPYQl5mf7hMPFUs+OC7OF7WuYtzazEU8aLR6nS7i1OhOdW3yO76E4zgk3x2emk8advxzWCmv0kPXxMF5k67JY6ef/HWanb9Nveja7Uk8FK7TnIbh9dDPRH2Yr0RR4ZLBx3fCov1zbrfwTcGVTuJKGNQkrnkaL1WM4zFxkw6nT3mY6jqxGx5un9On+CZ8xb3xX8W3HF0+pUfxddqcjqauxIFwiQut79Su3UdzSjPpUTwIy/F0GFTjR3I19aU8bi/lmfHO3za3GqkXWq+JW6OTXsSHvGn2KP0tx0ZnUxvS4OpEmpIXDpM0JR7t+BBfibpcLremKVOBldlzfV6rQbHEx+FSg9K1wiEu1MgJm7Cc5rmX8FJNznJuuLp7qkOrQWEnX1INz+R3GKTPaXF+Um6n6REOjRcpZnJUc0mv00/aSUfK6TCdRqfL8VD7XQ6XW+VXOtqXw9vxn7x3dU6a55zyfYf3HImLy0HY7T7SsON7M6d4Kj+S5sSZdBqeX8ZXotxIxjjTm4ZWa4qDaxaF5/aQJmoq4kQcHSelJ+G6/Eqbw6eRPG60Oe8nhlun2s4Ymmt6ocEmjsQhaSJudH8ck/ccCVdxcHPKO/KE9NO6Gw7T4aicCtPxnfHKBxXnMFNuyqnmSW/rU8JS14538sXVosmZauS4Oi6uvk5b6/PM43I6XMJXfNU65VUcG08Un+SD0/0e40N+iErmURMcY457ju9N7oSnms81gGvWFKP0u3taUx6QBpdT4aiR9LocVFfK7XSleVcD4uZyK24Kn3K0ftE66SBeTR6Xq9HexBDn3VrRvnmdtJKGtJa8VzGkKdWOPKBakk/OR7onT0mX40A45PvkkfQmPg2/tj5NXtKjsOg6+dh4p/gRV6q34zz3u5wqj+OnRpNbYT46PuyHqPu7ahhqImcUrc19xCNxc/zntePhGkzFKOx03XCikbSRZ0mb4uE8Unxb3W6f0+vmE1ZTUzfnvJvxToe6PuvD5OK0Ur6kk3KR/rPa1HrKl/Y3eMe1Bp96wdV37qMYxbfBSPoVzzN1djrTPeXYqaOrCe2nXA0P55WrcVpvtLd+N7kpxr2Il9s7Y0jHXH943G63z/5aa93ur+v1ejvez9f1ev1JzDF27iMcNX/HPGLPXCpucnE5VRxhKH2TP/FVcckrt3eHg/OKaqfeW12pNoSX8pFvrSfJw7ZOqUcanCa25bTTq65OTldaSzVqnwOuR6mXd85V24eut1Lv7faY88T1GPVQw8/1487LnZGmroljOmdJe9Pz7iw5Pmc8Sn2bvNrV0uhIfa38T7XdOY9Ur7XWbz7y+eVD/GD58Vcc3MfVfAKdc7vX6qXWZs6Zn7AUjtJBa6RZxR/nG22Ji+JGaymHy5d4uH2qBipnU5OJSfsbPqp2dO+4OX+dbuKpuKhB+ZKHlM9xP8OB1hNPVx+3PuPcaDjvYKn7xosWK60pHKrlTl84LBc310lHgzt5Uy7i4zg2fZBerRa3n7SovYSt9iZtzoPGY8WV+Ks4ykEa364f+sHyz/5VqNvttl5eXqpPxfN+vi/4BDsxXfzkMPc5biqWOCVtTo/CJ2zStsORfEkxVCtX51b/bnybK+l3/qccLa8d3a4m1B90Dlz/J56ul5o+bc9F6t+Wa9LQ1szVN/V46p+k2523tgfamHQ+Eq+dM+B8bXU0Pafq0uZNfZ04pJ5s+6F5xjT9qHKlF/Vxy7XVm2rZ1D705kNfifowPxN1hU+UV/OJVu1RMXONYtX6vFa5zupT60nnxHHaHK5aV54mvo5ryu/mlDbyOvElXk6Pyqn0tpyJu9NDuXfmUk2Sr613Lr/iQX63eibHpJVyEjeln3xrc7ZaSctxEKbzo/HJcXd5nZYUq+4nLzXv8I97Wx2JC/FpfSMPnBalh2JcfSnfTi+0WpUm0kl4bj7FOQ+I2yPj07uiPTCcYFVk2tsUO12nQs7c9K44z/cdnLaB3PXM2XBs6kJ63P3MTVyU74qH86nZN/dOXqRhp+bp2uEqLU3upFXdU20cj8SNuCTfHB7xV/dqNDhqT4s/46duxaG5J9wdT5o6UJ0djtJPtVecKHejhzBU7raOjhNpI38aP+ea4+LunY6JT/443k5fo4n4JA2NBxRDGh4ZH+IrUa+vr3LeFWanSDTI9BR/jKMCpkZ0WE4r8SSMycFhu1jXmC6GPCQsilO+KB+cH81QXjc4u15TTdVLcSF9hEt6qP6JV/Ii1UXdJ58m/o7X6r3l29ZFaXBalJ/NPreXNNB18ojq7jxt/KJ1pYO8VjpSfFMTxyFpUGsqlrS2sWrN8VH7VF0azY5P0juxHB5pTfrVoP0UvzM+1A+Wr8UGz7nUuA5H4c35nXwKi64nvntvtatXw9+NpnGb2EbjvG6w1H6ac9rJI8Jx+E6D00w6qI5qtHWZnFO/0B7iQHV3WqlWxMPhEh+nW+G6eqZ95FPjifIu1VBxVDFtbsrrcByfxgdXD+Wtwkk6VQ7yiGqYRlv7xI/4TDyKaXqjXaPeaOrnNNDexNHVu5kT9w/9YPmH+BA1/9uXtboDkdbJULo+zrX5aZ/DUUVVOUiL4tHMKRx3MJp8dN9od9yIa3tNtVUxKVfS4+pJmmZuF0c6FZbil3g2NWz9IJ5n6tngTEw35+qe9jT3lEfpSvVrtFGNSZvLT5hJZ4Oj9je8Uh6lV+VReRvPqY6Oq8Jo9pOmiaf4kJ40T3rnUBwVTlsrhdXopDWFnXSN9R/+f/vy8vKy1vIPl6ZAas8cVLyzjblbTFdgh600zGvKSXFNDGlze5WmhEF1TZx3MWasw5w4hP1IDK1T7ZOGxKPRN/EVropReVUuyutq0niceCo+VP9dTsRtV2PSl+aSbldD5ZHjRzkIm7S5deLeeKq003XyWHFx92m/ik11aX10uV2cwiQt6p6wGq+I4xlf0hrxOjs+xIeo+++IaptFvdOaKgDFz2vFpW06Gq7RiKvzxWG+51zLaderVB/yVuXZ4e2u1R7KR3Oku41ROtWaimvwFA+37jQrDSq34+leiitpTViuHkn31EoeOk/SXqoZ4TsdLk7taepKPNS945fqp/i7WhOPln+qY8Imz5K3xLGpB+EprMldzTttDRfHj/x1tUv5ab+rC2l+aHzu3xGlfmP51fzuiGvxOyPmXocxcWhNxRFXit29V1hqT9LYcFEvpd35n/YQdxWvYpwHTf1cDzgsl895kHg57jTnap560/lPXrg+o2unIdXF5dypUaPB9VnS7eqbesVpafKkc9HUJvWe8zBpb3s4nZGkz821/p71PGlNa8nXZq45c6nGqSd39zdeN/V2/dmc7/Y8vb0e+j1Rn/0DFH2ISgWlIrsHoSs8GX22uM0hbw62azx3YELT2IZMhzbxcw8Sd3h387UPtKb27YOs6b3UA7sPqhSf/GwwKT49hNzDranDTt/unpUGP50d11upb9x5T/6mXmrPXHM2dnTs1i+di1TPHe4tztlzutt/7bkkX5P+lKPRn/q68dbhNHkTJ1f3Ns55tL6EX7b58vKyrsWXOq/iS3lX+HKem1e51DXNufuGU5NLvad48mvqJkwVp/Y43SrO8SEf1Gg5tL6o+zTv8rbaSQvhu3zkSeoFp9HVvtlP2t9T11kdTY0or8On+4RH/rVcW15Oo9KX/NrhrHjMfTSvvJ3cWh4qbr4n39t9iqPzmTS0ul1dVZ2ba4VBw+klzbSWPFAa5x6Vb+ZodDXj08MI7zCOvydKmXR8v1+TeGeQa0bVSK3BrimIFxVVcUk5SZva22CnWLefeCmOlMdpoJxuzmHQmuLg6qZwUj3dvuSVwky1Snt2OBM30uZqOseOJ6kGCqPBVZzIq2aoWOeXi3NzrZaZ19Va7d+t/Yxx2igX1brpB1d3NVQvOR1tbMtP8dypG+VqfHsEn7SqfC1PhTXnFec5p/KnWjbjQ3wlyo3URCqW1hO2K7Iz3zWo40F6XDO1WiYOcVcamkYlnk2jqj1KK2Gre/I7eUraSG8aDV7SpDBJo/M71SHxab08y4F0KH7uWuHNuR0P3P6Ui3SpHK1nxLP1tLmn18ydvHG+qJE0tvlcXUn7zE9euhxqn8vZYBGu4k75nZaZJ3Fw8VTrnZok/B0OLifV/NHxYT5ENYVzwqlZVYzCcfPEtcF3r5mXuDcHxHEkL+g++Z7eHQenj/w5xjnfGk4qn1qnNcWDNKicxKHVnTTu5CUtTk/Cd9xdTWYu56Fbd1xJo8JP/BSW4nXWv0YjrSk8tTfVifK5es5cTXyjk+IIo62h4632JW7OR4Xv5lW+uafxgLidrZ/K6erTcGzwduZJR9J0Znx6GOEdhytEI9aZfFxX87txiic1gLpW96oxKIY4Ji/U3rk/NSjlczxaH3b3NRwUBulLGHRPnFSc2+PmkobjPHnm/JuxSavjmbgnPOLuNKu1hr/zw/Eh3BmvuLl97kU6k8/J++QL6UmYKneji+6pVu0exWsHK8057TRc/I7e5IHiuOMl1Yz6ZsePZn/y6YwP7zE+xFei7j9YfhxNEVJBU+zEm3PHvQqHck8MxVsN1zDNHjefGtBhNF66ddpP+5y2VGulL+1NMQor6XY4lHenLk6niiePkh7i4eqocpyp824tKM71hqpZqoXiqu7THuLXxiZtpJNyKS/UXueX4k1xzudUM7VHaXD5FL+Zc1679Uar88nlcDjODzff8GzrRyNpoB4gLhMzaVb3CueR8eldUB4cx/83r23sOVRhUoGO+9wcFXWuu5GKrDSoWFprG67VS7paLwjP8VN6KbfSNmNJR1MviifeSqfzmTBUnONMsVRT2uvqRZpIzxkvmtzOD+LTeqOwKY50ErcznJNm8pV4EyfK2+olH9V6yufWFd+kx3Fu+Ck+Lp+L2fUjcVHziburVfLI8d/Z3/KnnJS/8YDwHx2f3gXlwTG/EkUNRaY6g5rmnfPUhGofxShOKmfi5zi4fRTbeKsOQKM/cU3cU+1cnmZP65HicoZ3yqE0OCyFo3pJcVP4KUeqR8rt9LbxKS/FpznygjjMfGc5UY2Io9NDo/E/cU0anHcq1uWnvWnPnJ/5XB+0HrkYx9XFOv929joeajiuybvkv8pF8VQT4ut4JB/O1nprfO5ftDl/2eYqfsHXjJsxas/EpH2Uj/Ie49U1cZuaad5hJxyny/Fy846fq4mapzo4jFRXxaXBJh9bzYRB/dL0XrPXnRfqoZZnO08+On7u3dWiqXPi7c5Wcz5crzvtlCvxTv1JZ4k0uL7f6ZP2zKaz1up3uagm5HfyscFMOtJZdDV+9EypPjjDsTlzTb50lpKn6Tyl+oTnwkO/bPPy9iHms46vvvrq9vXXX69r8bfDNH81n4DnmPOES3kUH8pLvNKeVu/EU9cU53AII+VLfjvPSCvFUB7HhfgkTxV/tU/tV/wJt+HW6KXa7+5T8WokbeRtyknxVJ+0372IK9XS1YxGqlEz5/KkmrpaJD2t5sZj0kL+pzmFR3G7mMmzVm/yiXLu6qF4VTulac41e0hjq6mJ29Ga5t6uf+t2u/0iEg7j09mN7znu/wHxcTjz7u+pYCl2zqvGcUXbKTzlOq41DeK0KR6OZ9JBvpDfimtbm8Z/hzexd+tHHlPd1LrT57iouJ3YVh/5S7V364RHe9qYxL3xUmmc3FQGrwAAIABJREFU+ZvhciYuztfkjZpzfil855mLdXpczrRP5VD3xN3pdHGkfYfbzKly7GhJvipPncZ07zgqPMeZ4mf+pn4qXzsaXak/3m187m/l3W639fLyUn0Z+wpfIqSYBV8adHPuWuWd140OFUt4Tb6kz+V22ClOeaV8UphJs+NPXju+1AuNX87rxsM094gfqedcvuRJq4l4kkfUq0192po0vtIZT+cz7aPecx61vjmuiSflcP1EPZx60/FONW/iUt9STFvL3fOT+tz5uIO1W0f3OnO+0j7inOpB9Ws0t3U3+r6s/4C4OXTpwdc2AhWgeUC6h01qKFf4VkN6eLmHStLpMN1BSJ4/cvATV3coHR494FLt3UOufQg6/o3u1DNuPtW0eSA1D7odfolP42PqB1dnF5dqvXMu1Hrbs8kP4tzUKHnc1LTpX6U9eZA8JizCoP5oeaVz2fTRrudn60acndYdn5p8ri+aPml4ul4MPfbl/AfEa/kvSc/XfVzDlxknRhoqV8tv4qhYxdtpoDWVV/GceOo+aXH4VKeWb+Lc6iG+VMOkz2lKfBofGq5qTeWac05bwlOYbV0VhtIx96p1ykPaiKPa7+pGXJz3tFfxcp7u+NnWKGGrPKkmFNPGTT7EleLIi5S7yZP2ply7sckTqm9bZ5ez4aK4E4bK7/SlnAo7eeXiUm1Ojc/9Vaj7t/Ou5hPvEp80V/iEq/arNcrp+Kh5ip88Wg1ncqc85JPCa3g1uYibq4+LSXoa7Y0u8oew1BphEd+ET73Q1jHFpBo6rjv6E1bTs83zoTmnrkddDza9oOq3i02+Nuc/9ZHDTWcp5W9575zFHW3pHJw5r65vmz6g/KkfKU9aJz5tzI6Pqe7J+6YXU+809QQPf/jfzjt+iHINtNOcrkHaV1OE9IBoHhI7jdMc8LbZ2odM83BqHgjNwWp8bw6O6wGnsemH3YeGq8lOv7qHVvIl5XA962Idp50z0ProvGh6IfmdervRnuLS+Up70jlpYnb63Xmi1psznc6d6wuH2far81/FpN50/fwId/Kq7SG3P60lL9KZVvoaD9M5bXKQv3D/w/923v1f513LL6/N2Ct8OfAqvpw4YxoMuibsiaMw1H66J+yUh3AcJ4p3HjTXjjeNVDPCVxjOU8q7g9nka32lXI47ran9jsfEc3nTXIOj7hOW00Vzim/yxtWS9Llc5LvzRMVSHhdLtWrq5riq+ORf42HDjXg5DakOxMHlUXzJd/JE4StM57nDStopd8qxM4hf49eMd/tc7raeO+NDfIhayx+C43pqLIdHMalQCc8dAjXnsFWzpsZ3jZm8aQ8L1aHFV/lU7JxT92oQZzfXeK30Js2kM9Vx7iUObj7FOs5qnfZR7obHTs/QO2Ef5xuvdrmQHuelq8Vxv8JJa7vcVYzTQvlbns2c81D543xyOWZ88z6xibfjo/YqTqRbrZEOmiONpIVinXanzXEhXOI8cZoauLlHx6d3RXuH0Yp0TU54ak9TNMpFOKopGv6pMede1bTNnNPYXCt85UuTT41US+fRN99885P3b7/99v6vP9e33377nZjjuMff8e4xx3232+0nmMf54577/D3mPjfXSZ+bd17Q2txPvUAczuRW+K4PUl988803sp5HP481nTGkz+V2uskLiksxyfPEa/pz9OZ4Htb6bj/f547xc988O0dP57lx2l392zX1Ul6l+rl1WlPjejjXs9fc82c+a+be4716dh2xXa7Jb3I9zt/v71onp3tvne3juXbmjLlzpnK6M0U13R0f4itR93+dRwY3hUrN3xzYGefuCbvNTTqdpqbw41dH/GTPcW7mUxyJm+NNGmZO5aFam2PO3243+wBSfwCstb7zAegYf3zQqDH/UJq5Zo75cL3ju5o4j+b9Tl/NteQz9XxTf6VF5TuuHb345ptvflJfNWbNjvPffvst+n70//7udE+eFKv00z7nSzo/t9vtO71z1KveZ8wcM07NUx2Ofwjfud45pt5MvUH+TV9cb87YievOgqrTfOaoZ83d6znUs+o+ZvzEmB90Zuyx74nXca/ip2o99x6fXapXXS3SM2BiEU7CI05zH+3dHp/7h8rfHgTyh8hW+CG7tfgH1RKmwiasOU/418MPyKnXjGl5u/339/u4Xq/fub7HH+dbzpRPcVU8XR1cfR3G1KT0HceMO97PMXEUlsqn5h0Hypf6XPUB1aStY8Jw865mlGvuUV6pGikt01uqB93fR/KC+p18Ju+cJ8qfueb8IS/caNcbb+c+tUf5odbdy/Un9at75rhzMb1PnrvaqFg319Y29brioM6V0tdwa57/qrY7z/wmnrAL3C/jX+c1hjYPqvbBpjBd4Rwe5ST85sHQNGBzSNzBTg3a6HMv90BLDzk6BOoQK/1Ke4qfe9zDRcXP3IqrezjO4fqU+o/+0HbXlCedsXROXP/PtaYmyb/kvfJa9YrzJD0jqPepNnT+nU/qLO9qVJh0DmjQc4bOjHuWqB6hXnJ/QFJM2k/PXeopN5/OPPU7xbXvrg4KM+E0/I97mx5Of5amZ5qrszpj5XPry/oPiNfy335QMcc19VJYau/xfq5TvNqn+Lp1l8/lUlrW+ulvW6nv1x+/bHu5XNATxZu0NfqaulL+qek40peh5xrtpS/BuxjCPeIThqqTwrxcLj9172p/XFcetzVoet7hTw4q//z2hPIp1dr1OPU8fav2iHs/F+QR9TR5MferPXMc+34O92038i31stq/UxvFi9bnsyc9K9S129f04sRUuW/j5x/p/E5fmjNOPaqw0rNH1UzFUlzzfJzzSud8Vq3l/XW1c2elOZfUA4LDD/8/IF7LP+TTYSDD1YOpiXEc1F7CaArpGos8Ob67B+P8vr1aS54rfaSHNDn/SL8a6mFy/Bmm9HNM7uHi4tTD8njf/OHSrM9xxz0+yI97XV3UvIpx/UU1as7WxDjuT/U41rL5Yef0cx6qR9y5uf+Q7v2HaFvPlObkjduXPnwnDcfY46CeV88L8o0+HBxj6A/p+zX9BT71b+pD97yhOerTnZ8RUz06+8/9ZdB9cFVxx1i1T/XEzgdg+vCm8t3H8dzch/vzwsU05y3NpXP6HuND/GD5cewcGHrATRyVozmME0/lIz7uXmEo/rT//vCZD737mA8wdwjuPyiYeNJ9mk81crWYvOhDonvQtB9Yjjj3h959buIfH47uqyXt38qVBnr4HmNV/8zhYqiXU/2Pcy7ffRz9nH+I0Aej4176A2di3ufoQ+7cR7nmHqXPnZc5R/2szsb9+qhbeeD+IKUPTuovB8dedkP5Nj/oHnnNmrg8R51Nrylvj6PpXYd75E9eKC/nM0N9eJ8fdI6v6QnlUL4fOafnjjov8zzOkf6iclyn5/0c7s8FF5vi6Hmm1onbzvgQH6JeX1/XWvyH7HHQ4SBjVExjavPAo7kGS+FOXbR//g1BPcRo0KGaX+FwHOeYfGn9fu32qTj6G9taP/0Ann+IzgeV+oN34tyv6YOL40AfitRXVeaceqAdc9GD8f6Bms7JnHN96Pa3PTD33vlNf+/v1MuuVse9Cpse9NQ3c8y89599cNobL9TZVjF3fsf39JUPijnGzhjyaWIr3xyXmWt6TWdj/uXA9dt9PfVweo7Nmlyv1+94qvrEfTCcH3aOXhw1N8/s2df04f4eQx/mpufq/MwPePQXG8X9uMc949tnyDFW1Whn/1xr+bTj08MI7zBeXl6+80FqDnrIt+Y27y7PnKP5GZMK5nK72PmQnQdWHXA6HPe5+S2M9qFEDTrvXZzKc+ejHkb0gHda6SGhPry4hwo99NIfUPd5VwfiTtjHet29O/p4HOnB0e51fX2cm35NfcehPmC5vxXTH+RHPKqZ6ofmLyXHPyDc2XDPkPS8UnPpA/0xZupOH3pcX9OHITonk1v7wW3i3+eOP5c2B/VcinHr95c6m61Xx1ga7rlzjFG4xzn6oKbqduSpatjwaj/YzzHro/4cOFsrinHY6Tm4Oz7ED5ZfLpfbWvlvCiqmmXdxc1CBFY/j+8zbYu0cfHVw6cCmv1nQH9DqB81dozc1U/OpPtfrVR7SqVv9LZk+gLg/mI8Yc9CHnpSD+B3zuIeVw535d/qLenIO1cuqD1Q96W/ezR/qUxt9GHOj/dt0qt/UcpxvngVqjeInt8nB8Wk+cLvebz7gznwNvjoP7tzOvPTD5+r508SlZ9D9uaO4kL/pL3IOg54X7V8+CGtyUbyJZ+LnPrjdx06/07NHYbj44z73vJpxa62HfrD8Q3w77+XlZa2VjXdmHK/pgBC2wjoO93CkmJ3Yyc0Vnw4R/c25+ZvT/f7+VQ2n4axHqR5JL/2t8DjUAac/mCemejDQHxTTb/c3sruvM7/7QKD+lq8edMc16n3qy/v6Ma6JdWPGHPnNBzj9rZZqOr2YfX68pj8U1DlJ9VOc71rT88qtpTN/z0e9dl8/+jjXpm7S5PK0dZueTb/UOT7mPnI48qXninq5ODV/rMOMO9sfqn/v7+45pJ4X5OHkRh+uJw96lhLmsTbuQ9bsHzfo3FCMe1fPOtUHLZez40N8iFI/E+UeUK4Q7oDtGq6KRLEqXg0Xkwp+H+oP3uZvQOrBqh5gDS/ysNFBB2DGub/xzHt6iB0H/QFAfzO+x9BDdOamh6j6wEQfiObDa+aafhzrRz8fdR/Jd1dPOkdz3X04nL4q/UdNc0xPmg+zx33NH+zuw9nx+vgV/ORneu4cx31NfSCaGian6a/qd/oDNP3hrf4iQThznv6QV+dPcT4+k+gZ3TzT6dmr6qc4UW9Pr9wHKaqLiqP9c6izpM6T+8ClNDR51fPtXi/3rHd1vN83Iz2X3J50Ftvx6WGEdxzpIT/j7tcJR8Wlw9XkpRjHJx3eponmoZsHJA36sHGfV1x2HkZzqAPlvLterz918BXPOdQfBPf5uYf+wHG51AOIPhDQSHFUR1erye0+VK9SrWidelGd07X4VzEcH8rKZ/pDaMYrf9JfHpp9x3vFkdamDvdsSGf8OHf817d0pnc+xEy98wOK+gM2feVhrk0c+jCnPjg1dabRPC/VHnq1Z9r9ZYB0uh47rru/DM4POM6j4zPRPSumDsWrfTYe47/99lv0eS3/XFJniZ5Pc66Jd2d1e6TfxrnW+uNrrf9+rfW/rLX+/lrrP3ub/7m11t9ca/322/vPvs1f1lp/ca31O2utv7vW+oWU4+XlRf420av5zaVL/DbSuTZxJh7N7WKre+I+c9I+NafGfV6tz7Xj+zF+zju9TjfVcNbN1VZpVrwV/6TnuE5Yat3FpH1qv6ul46zeCaOtg/NfnTfVD3/wGPmuL1QX4kwxqXapFio+cWh65P7u+pr8UzVSZ70512lO6U7PBOdVwnOeuz0ur/N2rjm/077WF4pxfdf6Tj45/9Vo+qN55hB26gH33KfnC9WH6k91pxrDvu/3v31Za73cPwittf7ptdY/WGv9a2utv7DW+tW3+V9da/35t+s/vdb6628fpn5prfUbKcf8b1/Ug2b3kJD59BA7k8OtpxzugUD6XWOrpp5r6lo1/+0PCmkbMf0B26w7T9ODiQ67euCpeNJO3lCsw3G+p3uVu92jvHS95f6Qob6d8dNzum90kLbpo6tn8pG4EkbK5Z4jykd3Roh/6jE10nk4cxYoXuVt/CbOjrvrY+pRetFe5wnxm/PUeynG1SjV3fFszpJ7d/hOR/Pn7ozdOU/HWrs/jwHrD/e/fblcLn95rfVfvr3+1O12e71cLi9rrb99u93+xOVy+bW3619/i//xPY4wv/rqq9vr6+u6hm/B3efmy8XPPcd7Ggr7iK84EC/Fr+F+vE9fGnZrzZeQ3bdBWt9UjPM91U19iZ+G+jaA8mVHt+Pgvv2gvu3XfKtCcUnfklSaFNZ9qB6jOjRnj54diec9pqntHO7bs02+9O2/dEaI8zfffCP/y4vjcM+GY8zkQnmb833co3qUcqncE494zFj1rd3mjJKO43DP3vv68V3tmfNzJP5Hbq7/7uvJk1TvHb8pN83tPD8VL7V+H+6Zotab5xPVj2oJZ/AP71/nXS6Xn19r/Rtrrd9Ya/0L9w9Gb+///FvYH1tr/cPDtt99m4tDNbaKUdfH/fOa9jV/2Ctc2puaRN0rjPk6fl/7+DMJ6nve9P3u4/fbJwaNVAvF/+jNvFb7aF4d5OPPArifC9j54HXEmbmOnh333K/p5wAm5uQy9ah9M/7IlWLowefqc7xXZ4DWZv77/dSmYqZ/qq5zTu0/jmO+Y3/P3LTveH/MQ/wnxtGX9Bxo/KYPoqr+7gzTGTh6O7U2f5inGjn/57PI9cm8n1p3njv0fD+OqWfnGaO0HXWrofpM1Vd5NPfvPONVz6ueoLrSh8BjjHu+qz8X3Z52jZ5tM3fC2xn1V6Iul8s/tdb6H9Zaf/Z2u/23l8vlH99ut3/msP6Pbrfbz14ul7+21vpzt9vtf3yb/1trrf/idrv91sD7lbXWr6y11o9+9KM/+Xu/93trre4Dy3GuHfQHiTuAO/HpgLqGUjjHtdvbD+y6vyE2H6RmrDtk3377rdRCB8D9gXDU0vp278v08Ep/W1YfLJq/FarcRw7t39pU3Y68aJ+aV5qUL/P6WEvXn6peKk7lVJrmcH9jdb65kf4wm3FH7HlNvB0/4ur6352F6/W61ftK+4xJvao+2Lp7epa4c6BiqcbznLieuff20cfprVqjuOv1ap+N5L3ruV3PHsVMcWq42lM90odtV4tjTPNccvWasSmH+HPqoa9EVd/zW2v9E2utv7HW+s8Pcz9ea73c/v+fm/rx2/WvrbV+WcUZ/O9833KZ74texfdQ59xVfN90je+ZqnXFZWcPrRNvWlMc1FDz9znaN+dV7vs8cZyaUy3U+vT6mEvxmtrofV4rD5V+5Z/y2OHO9YSX9lLtXA1VLqph0///H3fvD2rd1rZ3zW2eaKwMisVzYkQlrYKNpLCKgnZaKKYQgwie3tLCs46djTaCNhLEJgZBkkILQQVtlA9UJKTQWOiHBwRjAuGDgLgt3me8uc91rt913XOt5+XscwYs5pxj3H+u+9+YY4659tou9xtW8p2OuXgRX6NpeZ183GgbneJxud3q5lX/pjp2GF1rfCkuekyfJDPlh6Nx+UlzfZpvCdsmJ8gel9sbW5Xmbr0nXmfHtl7pSPFwud7qgGhobmo6Uw58OX/pO1H1dd7bb170/wfXdf3l9/f3f3sM/cXruv7Ml/M/c13XXxj9/9Lbb9qfvK7rr7+H70Nd149/bPNhVoqnUb+2x3LVOs83HyeT5DqM7jrpuq4fb53TNvl1+a34wz95tlu89ISnTe0lO5xfXAxca1jP9bHdjSlP2h4nfredTbsB7kmQnr7nNrjbUlf5aoOOuet32XGmeKQ4nSP5mnDoNv8cc68VJh/ZRecqz+XDHCMsTp72udif8zSPbfscxtlo94FsVl7C7uiUR/vdjhGdq6xpg6sPrQk35uah09L9wMUoYWi7RK1v4qe81XE3J7g+qhc3f7WdQ5qT6Djjn2Kg5+76Lj3NUw5H0/tMq6/z3t7e/vHruv6b67r+5+u6/r8v3f/69ZvvRf3567r+/uu6/vfruv759/f3v/pl0fXvXtf1T1/X9QfXdf3L7+/vv5d0pC+Wb67JUe6mTo4m3kk7x+g6TY5NP9lGE2maYOnmThPvabNo3L9cUJtdwhLdXZ9vJ7L2CmP2qc1pC9s1krF9faG2kA56jUF6Zkuxny3FjOKqEy9t5RMOZz/FkNrGD+QDpU25QPpIj8N0vmzu/DmbmwdooT91b+q4+SvVmctD5U060/xDOU62qh7FMH2d5lXtmzznfphqL/mDMBP2ZKOTkR6mXD2mHNouBCcOotcYXNdusaT96b64ube2+xTo+d2/zvtdf67w2u7K23A/4iG+OZb4SFbDofxuXD9uXOXTlqtus7rzyady6FplOz+6GKVP8hPJOdfJRrVT/aS0yWbiJ1qSmfiSPtdUH/mj2ak0zv8uZkS3waQ2NuzE03J6Y3fykZO7qak7tZRqgOa0jS1kW7omO5tvEn3Ki4Y9+e5O/s+xzX2Exu5iJfwbm5J9lEvJp2081YBr25yb1ymnyd/tXkmxaXFM92nD/7t9nfdztMdid2kjwx2TPqdb+UiOk9FkO6xzPG2lb3Za0uuGuQVL42ovYSeaZDfRnaZPZW7bf9K21x5O5jnq1rjbKlfZ6ekuPfW33SGS3Xbd5ofkfP89/4Iw5ey5bi09vaa4uaY+1Jx1et0uJMUh5Q49xU9ZLgZp/Lr6TqzW/azPKZPs0xrRPFCZSqf1oPwaQ5JJfp7YtU/1zGvC5uax7777Dv28vZ8ceW2XVeknPrIpzdHapn+dL9R2VweUk0rfdv/c0c0t1+V3lfR89qV+ug/T/dM1d8/ZzGd32qevKu3J9vnz5+vbb7+1SZ9uxLPftXRTcEFJfYSF5LoEIHqH/328Zt1sgdOke1q6YaWJk7BSoj9jv2u0uNCJwU0u097t9rnKbwsqJ5t8rGNt4eRkUmzUJzROftjmubMv3QDSjcNhTraqrjTpb+JMON1405FutO5B5DTy++PhX2Mnn5I/3HyR+qi5ueeOztOvOil3p16Hz8VAed38M1ube9JiOuHWhVRaCDu9arfTleY9ZwfNLVOXw6FYnM2be6m71j53L9n067mTt7l3vdI+xE7U+QfE18XJnxw1aTc3cqLbBM4dHT4K8IbntFlENOG7AtMic0+R5/zwuOJ3OFPiOb84X5APnGzC5Jo+fZ3mnhBP/9vb248mjXM9ffT29vajd/1n8jj0j8fjtzRT5hk75xNLarRYczTzSTRNqKfp0zo1GtfcId+SHXQTpgXIzOfjV8V/eGeMZlynf5zc1PRJf/LqzY7a+/v7ai5zvtg8NFF90MJT/TJz9OTybJNmjrv5SnGnhYCbp5w8FwOn87TtHOXmeRdn9bfqp8XPtOvwTj8qjonh8B9/T2wzTpo3bl6aspXnzFtz/pry5tw35zD1JTWlcfP9di6i2JFsknNH96q98i7wa33Ov315lHfaekxjD/OOVeWqLKfX6XTySbb7EK7Ecz76Plv7N2Mqz8l1tMlnzqYWqxav5gOyV+2i40bvHRvIJ+Szhn1Lk2x2vko2O58QHhcDpXUxIptcjhOuTX06O5wfNzaRv6k5X6W6n+ekr+W5w+140lzrfJj87/zr9DqfbOzbxmjStvsH1ez0PeFsfk44W75usboxsofi6/AQXbon35kLt7nlMDkcjrbZBz769X4nyp1r37xWOpL1gFWqG0u6EsZnsKvu7RO+G0tPR9rmkx49eTvsyXY3Rr5wNGo7Pfm73QXa6aEnc4rZZsx93JjjmU/8ap97Up+0bufG7Uo4upRzij+9eqAdMPfUnnZUJt6JufmT/Epjd3YzGg3lGOWmy7dUO6Sv+Ux3EpRWcVO+t34Xm7mb4V4Zqn26y9x2q2hHXWldXieb5pjunrmcVTuUxtXtZmef6pFyhOIwaZMe91H5pItoSH6i3chPvmlyHS359Jl2+3/n/S7a29vbe0qmO4FzdCkxSeZdDHcSMWE58aDXHul1lfK099mJ1k0eKYnvJKfjUT85P7iJOd3MnB1Kkwq92Um0jifl1OmfNs+WFiQuT9prEcKsfeT3I3Obaw6L2qE05F+HmWJDNTntU0wTG+Gla+VL9Gn+mNhOa/NAWwhOX+tPAdA55SrhV1qHVXOxPSSmXE91PRthI9u1bR5akv9b3Tn9Lb+ppXkq6SBaxUrnKY8IH9Up+aDhavId/Zf20k8cfIhF1DfffPN+vlg+mwbDFatzSurbBK4lSdKXzimYs79NGm03iZ70tW0mJqWh341yvlUfpKOLx/v7u7VbJ62tn9zNDQrqJ9jVXmfHtqVJYDMxu8VKe1q+g0XtSr53eFIsNot2/c6Gq/FtDbZ5Y859zu9b7MqjbdJt7Jv6KCdS7NvDV8oP8lWavxzt7FO8rm3scfGgByv3gET2EN604G8PLW0Xi+Lu/Ex16uhcjJIuh8fRbvUSr7ONxh2+hiVhINsG/S9/EfX29vZbEM6JzSlUDI7G8Tj5G/0NK+l3tup1u2FtaGhB1nYq2hMeJSWNpVio7fO4efpMdk6f0ERLuDc5QC3Z7Xygcd/ekN012af4XJ46LNQ2C7ftYsMtbFtdp/xx40TbFq5pcZ54Zmu7Vxv/t/wlno1e56s0t5H/2/jEt1mAPrO7M2W22k02tt2n9BCn/bPpl/Y3uFIt3LWP5Dq6bdwTlmSPk9nqlvDROemU/pcWUZ+eZfya7fzEwaZtA+oc3hIwJQL1Jz0ucElnK8jr6k/JtEOxWWgoXfIB2ZWKaONXlbHZndE+mnxnf7qREcZN/pCtLjedLzU2LcbzOsXtyDjHsyPSYqPypxzFR/QOA+W38437aGt15uiSzW7BorGg+pp8auO8uU9ME4/zJd24D43rV1nOLy3vHZ87Uszm9dldbg9p06ezP9nkcpLwzDG1j2TP+M++qdPVbdqxUt0px6lWaR6hGCTbyU+tf9sSbhcbZwPpJtkbea+2D7ETNf/ty2kbg5MTpwzHR0lGMjfyCHuima1t2afJcrMjs9U1aZw8FxOKFRVb8uV1XT951bL1D93g6clRc6EVp7PVXTseZyf5IS1U6EaUdqWmnIbr8Xhg7rQbuNK42KSn+JQTmxpKuZdq/eBxLS2O0s7UZudIcTkcFFfCnnZwjh6X7+QXwpmOdH6wbualNP+prc4/ae4hP1AMVPa0Iz30au6nr0Q4Xylmd32nBlwjPzi/OPqE/45ckkN+SX3NR9L363idlxw3+3T81eQiWsfXeAg36dRGE8Vp6aY2zzdb0bQTtdHpCqXRzP5WFGQL3ZQPzrQb4ya5hJ9s2GCnRnmr/W0BNe1w9s2WcoFsTIvThMfJJ1l0Y5mN6o76NvxNeU7HAAAgAElEQVRtHnH5dsdeuj7N5Z3aQTs26SFBsVG8yIZNXpLPyb9uXO3bLpacfZtFu/q71ewm39MicMpR3N999x2+zkt+dfnifJyOKq/NYQ1Pq1fF2WQTZtLvrpMdRf+vYxF1XbzoScFz/dQ3x5wM0qky7lxTYqgejQNNiDSxtkWEypxy51i6caRJiWKgLSW48mx21NSeza7UuW455VrLC5eryQ+OlnwwbUmT+maB7F7nzfO7C/HNzhnFpNUcxaLRJL6kY7PTtNmpODx0Y3f5P1vaDSS9mx0reoC4m9sJP9X2ya2Jtz0sOfs3DxNK13A6fFP+nQeVhKvlN80F2reZQyied+JP+Zn6SU7DTnqTrcmOJYZf/neiqDlnpAQ5fXSt8lxyzfM7ibhNvhTU02iCcDetzQ1UJ1elSbs33333099vmX85R36hJHc+ozinnZDpg9OXnlTpxpMKjeJDtjo7nVyn2/G5OKX+M+b4Nwvhc6251XazCMNm4as+SP4huiR7K4vqkHKMcpLaZgF1zvUvU1Wfk+kwn9YerlL+Kx2NN58mXlr4tUXhZsdUbWy4HH+bP9WGxOvy1tX+xOaa8z8dHR3pb/wbHsKa8JLsjZxk3zYHX2qv/FLn1/qcXyy/Fr+cSmOJx9E9bv666R1cet7w06/czn49zl/BdfSJd/KRXidj0jpbko/UDykmDp/SKR7nCzc2jxR7h3vzSTHeypwynrHf9VMsG/7mZ6Jx+aP6Tw6leiVMLk6p7u7KdT51/nM2pnxzuUc14vy18bsbc7rbPLmJB/XRnJD6m79pfDMXEL4Ue4qnxjvFXvvf3/OvqbsPzbOb+ZZ8v5nnXOzv6Gi50PCn3Em5ucldo/ulXyz/MK/zHrBi1OsHrEIbzR0+PW7lJFoamzTulU16XbP9zsTkcfzt1Zf20Ra5s8n5xh21j54omx3aaGue6Cn33BjxaL87J/7zOXWZXg05f8y2eeXhcKe8aq+yHM+8TnlENTYb1ZXSUzwa32m0M6s0yR/ptebUq1jfw3eitKVXTxRH/d93m3nMxYXmt2TbpDl2HtyUZ83vLQZuzqHadPfDNgcpTZqPNrlNebrJ7ZbjmzmI8Dk5ykt+dXSN1+klbMkuGh/6Xnqd97PvQn1JWlxxP2RV2sbSUWXQp8lTGUqzxf8b9+//9xs98Th+4nEylF9pabzZ/kxMZ/8dm5ON1NRflCOEP41TblKObGKndm5j5eidrQ4DyUg+JF8rfcoBOk81lq5TDPRDfky5lvym1w0X8ZEfU6OaoZgn39LcmOZRsjXlPuWZ83mye2uzix3Fvfm/1QDldKsJ8h/NQ23ecjLovMVsI3NbpySLfLWZh0nG4H1pJ+pnX0C9v//0HxCn4k3J1BJ0E6htAqTk3QZfC07P03UqaCp6V9Cp38nVycDZfmdCpck52Ur+SraTPSmuNImliS1Nco0u+bz5Il2TDJffW/0uN8m/LjbJP6nGm49ficP5pOZyU31NeXka4U6+v9O3wZL8ts3TdlOjeM7rhDPZtrXX5Vs6Opmzz/Vv46Fy6P6Uxlu8XO1s62XrI5qzUz6n+tvOkWR/8k/L4y9jv75FVCvAO5Nt+2ySKCV0KoBNYrpJoBXr5poKP000aZwmi3ZTajFKk0RqyUeJl3TdiWvKy+2klvK92bqJn4ub8jgsTo7jd/7c4t7mAvm7xaxNrC43U8ydDcnnzkd6TLVCfky1SjXq4nZnniNfbfKY6kPHUm4lXxNN8rnz/R08KQYtVjre5ss7eepi4mKc5qQU301dOdx377MJI/kg4UjxHvwvLaL+tusDtB9++OG6rvz9k4e8Xz3tEd65Er32O56tXHdNR3eufzl2rt1fSF3Xb96zp79Gm58pa8qgPxFW+vZXR5u/eEsxS347TXEQbrXL+WnzHSjqu2PbJm+J3v1F3WwzPrPRX2WdMZLp7NH8mzpUp9M18dD3hqgGt2OtVl3bxNnxqy/oe4pax5P29LXvQz0ej/jdp/Q9LNLv4k8+dWMOo57TeBubGLXP2XWuXV7SvHiOLa8eD//THmku3P6F5qFz84PiSXl617dUDySnyU/xTn0Nm9pIuB3/17Lv2fbpZQlfsVGCUZ/yOTkbeenj+JwcxdRsmk1vONfV/3w/NfeFXqcvffl3+6fFrehcX0vwx5jM2pft6YvV9GfIk4fiOPtS8VHeET/l8Dm6BRTlQ/tSs+OdOB3myTdvVPQlXufj02hMf2yw1aK25l/iU955pPPH4/Gb7frrp36nHDzNxSl9oZ+w04LA5TbpnbLOYiLpT/2JThv5WfnTXKc2aaMvmbv6odyZGGkB2xa2Trebq8hPlM+JNl2rXU1G0rnBqvpIjtNBeEmHk5nku/47Ntf2yjbW1/p8/vx5vb2sn8RzhW28a2wttg/h0DGlb7xtC/t8HB1tNbst5SRT5Sm9ytZ+0kdxudPv8CW95CPy4d04u7zRvpRjzS8U5xaDZKMbo/pK/ku5R7FwjWqG6pfqKvm78aT5RWnU1xQTiofzffu4GFOfi/UmnpSTrT7JTy0eVE8b/23yyuW59rV7Rcp199nkgI43n6S5hnxM/m453+51LZ5NX8qNlEMtPsmWhD/o+HX8xIH2PRZPi/pRfjfuZGi/u1Z6wqi6m4zT2p/r0k4UPaWlPx1WfU2me204x/XfdrR4nOtEe/KyPdHTE7iet+bwuHOXA/Rx9isP1R/t/tC1Ntqh0t3DiWUTb5dLTh/l3NyJajkzaShvyNdK4+QmGbOl13hKo/YmHqf/5MSdHRHVpVhbHSTblcbVsPZv6NyY2kE7zanW2zy4iTnVVpozVSfN4S1n3XnKeed3d57kuXPH42jcMWEijCkHm/6NTQnL48VfLP8Q34m6rj7xbZ2c5KqcpMclQkvcDYZzrlvBs9H3GPSVn/LMo+qYryB0otXtb3q1mDBPO9XWTWwpvu77D7SNPu13iy16rdVimWK6sVcxvL+///Z4ME//06saZ6vGdNJRTrSJ68ij16NTdnqdqPjdq7x5niZGPW5oVDb1kT/O9ffff/9b7FRfZ2zGQ3lSnqs+1XH6XVzm2Ox3Na047ub+Ngatzp18ei3qbHbz06F3ea+v08i+NG/QYm7O15s6Tnm4mUdSDs3mairpd3wOR5Obxkmfw5Jitckx7W/nz7YPs4i6LjboTqBI1p3ETYFUeS1hHO25pqemMzafrtqCYV7T0+dcTE2d+uSnWFL/1p/Tb5vi0Ilps6OUbujuxvR4PH67mDkfh13pFffhc/InrZt0FWNbqGq/u6GS/WcxsJlE0o4HLdocn+bo3fql3CHaVtNNj8vP2U+7FGR3k+3soYcW9zDkMEyayXfOyU/anP2EO9U48Wq/s8XNO+eaHginHzVeai9hcDXqam9Ts7MdXTpnnL7zYHVyTW04fJN2zlszvk5vi2HKjZS/m7zWfqJJPKmfMDvsDeed9iEWUZ8/f14Z5ZIgBcU5leiUvvEQPrqe57oD0baiZ9veXHXhs+HTyZZ2H9yiqsXCNfL11E83bbdwdLjvLjrmhLj1meKdE7rzLz3dupse+X822h1JfqBcp6fpjU63iJ+7UK7G04RN40lOakRPOpw+fR35eDx+5ItzTXNI06PyTqO5wS0U3AJr8jRc2zhsabbXWgNqp/NL2/3RuS/lkcsf93CpMt0cpJgppjpvuMVjWyhrzOcCTR/onP3TN6nf0TmftTprOlIOqi3P9JOeZ9uHWERdly/k5kgac+ct2I2OApFkpf7T3NNMe6JxE6gr0jPh6wREE0DbKdHmFgopkVNzPk5P+qlPJ7k0IZGNafJu1yTfTaiKzS1c0iLY6UtP59fFMTp40qJV8aSb+UYn1fydemq8KsOdKx7CRnQbfdu5I+2+uPF046VFSZv70ny5pd367fS53NfFxRlzu3Qp/yatYp4Y3cPMxOAWU1Qzro6nXMW5fahrtaj0c6fKxW4bIz1SHrixpMvpJDoaT/3JJpe7d9unlyV8peaMpiM53PGmJKEgEAalI8xOlo7TE2R7wnQ35c0NVhdrOuZkOnrqU/tOSwlL9KffLWDoBpPsczcZ50udNFWPxsdNrIqFJrm00NM+pacn3fT0nnLk+LvJSG270KMac3jmeZrsmoypd6ubJlg3lzSdG1zzWncmqAbbQkEXU4dn4wvC7mxvPiValTv/yMLle8plWmBOWed4dkWdH9KixO3+KJ3T52LoaphkkNzT1+bp77///re+pe8lpnyf5+Q3ygWXM6mGlEaxEQbCQufJ5rvtQ+xEnR/bnK0Fw/W3YKl8cqxrKXCbRDvn50vF7eZ3Gu2WuB0H5Z0y3Vh6cnOLiFTYR9Y2Pq7NcTc5uEXBZkKlidXZSrFxCyhd6M4bFU1qmydmssU9katebXrzPM3Fwi3inQ/aTUTt3HwPq+WKw9to3Lk7ujmj0W5sceetORpaDJ0xpT1HehDb+Jqw36llJ09pZp/78j49xGgt0MKTcpTiqDs/xK8YJq2bmwi3s0HH0tze5hzF6uK3yW/KaTc2j3O81eZGNuXQs/K+Snvl9xG+1ud64rdj3GfyOf7ZR2PK53SqnKZLZbSmNPNaz6fMeVS9Tp7jdXI3fOoXuk4xm9fOD4pPz5OvnG0bP5OuJGPjU8JBue1kJvuTLS7Hky3JB00v1S/lRapLV3tUjxvdVPdNF8mlT5ofnPxtrrX8pByhGnX+aHNjy6eNT5Q3NarZlKva1+JKNeXy3Pl+g5/47tYg6SA50wcp/uST5LtWx6neW41S7aQcTbbI2C//d6K++eab9x9++OF6lKc31++Oj7D61JbolcdhctcJV3qyodc3rrmdKN21UBu2r7zcjhNhm7QUEz3fNHoV5Z5M2+uOtnOS7HN6VSbpm3LbK5i0I5lidudVx3XxEyLFnWQ2XJNvvj5xjere1dndPJo20vzh8tRhSXVO105W0n9d/Iqn5cnpo9y8U6c01xFmonX9aW59//IbWe11mJubNnU9daW4Kq/qpvlxU5Ouvs91miecnjT/OX06F6TYb2lm29SV9rnrhCXp3thgdLz0O1GfnmX82i1Ncu44+VTGli4Vcys0mhicbKVNr9hoizbdJLU4zra44nCvqdJCSfvd4skVstpOflHa2bfB5F5lkL/SjanJJjsJW5vMVQ+9miGMik/PVdd33333k5w45yqjLUo3NzXto1w4Tcc351R/eq40rjl/JFmEP+EjuTRHbBZK2jSPUl4lH7U4Kb+jb/YlXbQoPM29ZksPHm5+aq09mNHDHD1MTRlpkXSntQcvtcflDeU+xdONU424RvLakcZIvvIlu15tH3In6rryxLkp1JQASvNssDYY59h5yrqu3U3dTR7pCVXxzSPd8FWn0mp/Oj83a+dP16gYz2d7M08LTOKdfTqu9iVf6RhNbOnJeTMRtt2FtMjRnSA9njmgxZ/8Qk+9qp8a4dKamn2TTuVon36SLuInPVt+Zwfxn9xPi6W2qKWW5onmI2cn+SbREJ1eb3datKXdHN2NU70bXZu6a7tBaR6ZOJKt7V7Q5rDruuKX7FvcUuw1jyivnIy7Ojb1WGS+tBP1IRZRb29v784h15WLclPcFLhNsmwD7AKq8snPm4WL9s1+Nyk6DHrdbtRnzC1WSEaboOY5+fE05y+aiNQObdtFzZRFi8S08HKyCN8mrm0iTfpPHFwen+bGyW6HI+WHTtRH39TrzgkX5fRGHjWnY6Pb1XqzR2XRucPcHoBSvk6ec93+9Q7NZWk8xcXRpmvX2oPebLQrdWdHzj2c0Zyc5lKyIT28JTumbNKxqcv00Jvq4lxvfJjqiGoj5Z47JjybHPty/uv6ty/zPDk9FTEVotPpArCRnwLn8H7/Pf8rl3k9G43RhLDFT/pcI7wJcypAxUnnzl/ffce/0jz1U3P8s6lcN+kdfu0jvyit9is+t9BT2Q6nm2hT/F1Li0nyeVuMnubyIOXGpuaVdmtnwqHyHQ/pSVgcP9FOP7YdJpfLlB9pF4psVrxK1/xFOlJMr8v7gHJ9HjfzRMq7qU99r7qpPnReaAtAdy8gW6eOyefmoLmQItxUL5Tvd+qj5c3dnEg1RdhaTX6V9sq30r/W54Jv61+X/+uAB3xLn+jSMfEkWU63O7++/LWN/qWF/iXG7Kex2UdtiyXpdfoS5jl2zjUmzlfqX/JP8ksbb3g3jfCkWDr9GwwpDzY6z/nW/+fo7Ltje/Ozi7GLv6vnVOc0TrVKcwvlY/LZnXkh4VU8FPeUR9pSHbdccLZvsZM8mpecXsqhlF8pR921i7XzZfIx6Ur18Eq9OxsJY8I8aba11mja3L6tR8qvba62vARsL/113qfrA7Tzb18e4clH+07/HHdN6R/LVe/22vE6LLS9Tq+liJa2j8neifPxeNSnoQ3u2dKWOWFx47Pv9Ovuj543nOmVme5wtdd0Tl/SQXjSVjztfm1xTJ5UDy5vyT/udQCN0VPvtmZTHatNjc7Vfap5wtOw0vzScDcMLc/pld3hpfwiPK6ludH1tWsnWz80J6bXxdqnu1i6+6K2zWt6ZUY1cPARJmdLmnOmPGptfkrziuu7O1coDTVXIzqmMqgmqBZbLjt5Ddvt9soK7Gt9Pn/+jE8yF68e8QnHyWq8RNt0KEblO9fuKWB+3BOEG080znbCRnr1qHr0vGFIPkm0pJt86Fqzj/zedCQ+8g35ytEl3E3/aa52XAx+MwX41nLA9TnbWv1orroP5bSzZzNnkA7yW6qhNods5pkUD8qBVKstNmn+3Pgi1THJ3Mydzj6yRcdSDbl8dBhUXqqDNje4OLY6dvx35gPSmWp3c/9KddXyinJ+w5dyk+i29T36XtqJ+tkXUO/mdV5zZAvGJvhb2elG1AJME1hK6k0BpWLa+EDpSY6bPFxLcujmkyZimpxVV/JJwko+bHJJ9l2Mze9Kt8HZ8oAmlOa/ZK/2kU/aDTrVcauxjexU7xs5KX8pX6kGU55Tfd6J/zb3nvUlxWbj81bfzj5nW6sh57s5nmxJOa1+JJ0J+x37nM4UT8eX7Jj+SHlLOZLmmZRn9Elz1Ja2XTsbrhcXUR/mi+XUHuUVmn60fysr9SUZ2veQbUN9lXPO9ahfkjyNvmCpR92qV3/MvvRlZ8VKrwSmTrUtbZlro1jOL0umL4rSKyWHeV6nrXAXi7TFrl/qPH2TL71ucfEgme0Vg/sC7TnX5nJU8astlA9kq9OZ6oX6HM1mHkhHJ1flt3pPWJJdbX7SV6PaT6+dlMe9LiJbCSPZkux2NlH85liab2hOaK/26GsPDYN7Daev3ea1o1eb0qs4N4/qHEs1qn306pN8oceUv46H5KierYwkz8lpNd10vNI+vSzhK7T5najmHNdPxb0Jqjt3ugjXJuFoAeDejc/xyZ/G3KLFnc8+uum7Ru/82/t8ikUqCheH9F2I9L2ROa7fJVHazXchqF+b3tAIo9qjk27ip3i1747QRDT1zmvNT8oB9fe8pomRcnTSplone16dMNNc4PponqE5Y147+91DjLv50kJrjp/WFlDuo7akWJFdzV7108GqOUeLq/Q9pPQ9oIlr4nHfU6IHNten9CrH2aRzgFtI0YKRsBL+tKh05+SnNJZqtuVOkuPGSLaTn/C80j7sTlRzCBU0OdbROl2EI+mmsev66Z+7nkZPiO6J6/TPpvzOD+lIkxDpmQWddhwcLvWPYnH97gbgFhz69KY+o5sMLUzpyXf6IOlsfiF9rqVdn9mnE+3U5xbY7trZkhbalAf6lH50Tb167vJhYkzjdKRz14i/zSM0luSnGtXmcvw0zXN6EHNzSLKT7Gk0KQbKn+KQFu0077iaVR+oHofpXLuFyGl67uaJSUcLLKpTnWdpfm4PZrS4nO3QtLpwNFTHlE+Obo6nWiaMG3wTk6s/sv1O+/SyhK/UNpNU+hw6PVLBJN1OL8mgILenRnrioaJxixm14bqu8x2zn2BRWVMGLdRmH+3UJP5Jt43vtGXz5KZ6ps0uBq4537vJysVM5ajM1E8tPXW62BMGd+0mjfRUrOctD9PuB9Ug5YbmhWtt8tQxl3tNNvHQHESYEnaloZ0Fd35d/ZXNoXELKYer2a7Xm/i1uj/Y20MP2eXmJudHZ+vB4OaytmhrLc3zaTF1R6brJ/kHg/uflqneUlyfHU+67+So8iQZTvdL7ZUvVH2tz+fPn9+vG1/SfJgviSkNHZ0Ox5fGtM/x6BcG6QuEmy8BKq3jVdlJxl08Gz4dm/wuRs5v08cqi2x2mF1zWHWc7CW76Jz8pTja2AbP1idUN81uJ6PFXfta/aZ6djXbcof6nQ6icXraXNLmEaebjpQPLlapPul41y/kd5oTXV+r/ZR3Dn+rM8cz87HlU5K5qXkXJyfP2ZswtJpPeE5LuZzubynfm8yUd4ne1XPDeieXr1/DX+edRVS60dLipjmJ6JKz0yRB9Nrnkt8dqUjaJJGKxclVPuVvYyQr4XZjze96rfxbfzjdxEM2tFg2+Q6Pw38nrs/qcznsfJzwNb84DC7uqc4Szu11W6jQHJDOE07SneYnJ4t8dyfXGv/7u1/UOj/duVGlObXJI+zNRqr35LtznvC6vFb5SZfSt1p5pbYdroRT7b+b79sabXnfcqblyTO1F/C/tIj6EP8775tvvnn/9ttvrwe8pjvtEbYD3ZFkKV+job4mk7Zx2+uc6/rpKxZ6ZUWvmNwrt/S9CXqd07aZN6/2vvvuu5/8o8vpJ+drh32OKQbyH71q3L4+TTa6McKYMDhMLVcoTmoDvfbVOFBcqa99p0Obi7ueO3qaA/SceJJ8kkMy03xAeZ1wzjHXl3xLNX9a4k36k513eMhe8tVp7+/vsd6cnenrEMkHE89s6ZV9e5Xe5mzV4bAmOWTf1n79X3nnSPHVlmrrrjyqGcdPupwc7U9yvvS/9L/zPj3L+LtoqTiTI1NgtY+K1/Wn840ddGNti6u0OJqyNu/YHe3po3fp6fsVbaJOdm39fa63Cxc30W18qjxkd5uYZpvfFUoxUYybyXGLPy1Ar6vnb1vIEd6ENU2A8zxNvKmuiYdkuHnCtVb3DkPST5imjs33bK7Lfx9mxormDZpLab5TzAn7Ngb6Of3zuzybh8Njk/pF28xJ912go38u4pz+tHh1vk/zpbb0IJZ40gPVkTP/6fSxVdudWqR+yh+XJ1R/RJtyzY2TLrLn2fYhFlE//PBDLbpz3Ba60rdAJF1NpuO9Lt5ZmMXliqPtmuhRaZM80k0LrSmj7UykpzAqqDbWFgTODoeBJjWa+NQut+hUP7pFKdGm1jCpfJKbbL2uv+XrdGOYuigODtfso0kz1WHqn7yONtWr61M+d7yDZdtoHkkLhO3C4tDSfNN8RXZt+tocS/rUxomX5pZW1zRnEMb08OMeVDYLXqp/rW33AOZs2MzP8/osoCj/nT+mn8hnrq/FflO3SUeT0fAnLM+2D7GIui5Oaio0TQT6ONrTp7pUvhvf6JvFMBstUmgxM8fopp0K2U0w9FTlMLjCnDTU7/S6OCa/O7y0WNksTBz9nadEh8fhm5Mh6Z+8qjs9fRL95un89JH/UwyTDhcTh111prpSbG5caVp9t9xrY23+cX2kk3TrkfKcdkkmj8Zl9ru6c3YSXeNTW5wvntFHC8V5vC6eH891imVatM6jk09z8WZxq2PpgbbV2sRKuaX2uzEXQ9dS/GncjVH9pDpy/I7G4Ui4brVXvlD1tT5X+LLptfhymaPRMaV7yJfeVMb2esqb5+6Lf/OjX/QjPuWnLwom+U4HXTt9DgvJT/qc/9NHdSS/OLw05nxAuaVjLs9Sjji7kz8pxlu/K62T62x0MXPy6dz5/FxvasfFwdVXq0uaGyheFGvCQTFtc1OzY1OP6t+7ObLNe4eRxrZ+3M7B1NL80HI95b3DTLWgeKgO2pj73L3fpDzc5nKqu1aPaX5LefNs3VJOppre1uv1a/i3L/qL5fq5rryS1nHi3fDMsTbuZM12nij0dRA9gejOkPKfMWq0i0E7HPR0s9ndUhunDNqtcT5yPn18eSKkLXCyeY6Tn9wrLXed8pByYZvDb29vdtfI7WK1p1WlSbucujM4j+5plp5w57nbxdSW6tjVaKozh7/Vr6OnRnTp/M5cs7GB6kd3VXQ+oV3mFJPkO+eLFC/n2xabFmuXh822Oaavy+Y85LDe3dl2dZB2rzY5qmOv1AjFtcXMXaecSTZQriScSQbZcxeXs/Wp9soK7Gt95u9EPcrq8gorUz3f0qlc5Xcfp+sc3RPSfCpRGqVVOneufHRNcty4w0HXpNfRnXPyOfn+jvzk03R0mBweyhmXJy33Zr82yhlH5+LbZBHGFHfHv4m30+lqeFtfdJ5i1mymo4tzkpni3OwnH2gMUzwpdqleU243bCTjbp1MWoez5TTlaMrFhLX5kPxINNq38QVdU843vz/D0/ClGtjgT3G4U49tzkhzx6D5dfzEgfty+WmPskp157PvASti7VMdd8ffx192nOaeImdL3z2h70/R96XS+3j6rtVs6bs27T18+47UOXd/JeL8OfMyfXcpPZUmHPrdCHdOuTavNT+0n/LS0c/+TSzn+cYP7btaLt7unPKIvsNx6GfsUx3ruKPT/g1t0uNiRvFKvjnnim0T8zN2cj9936zVW+I5uU/YyC96TfEgOY7m9N+ZA53NyS9TVsrB67p+4nung7C0mp3XTvdsybdzvNVEG3PxJXo37mql5csmbxx/wrLBTfY+XvyJgw/xOu+HH364rosLmIrcBXAeZ3OBI33unOTORlu7NMHqJJFe8Wi/niuGea43zzRB0OLK8cyP2qzY5sKF/DnH2iKNFoPpdZ7zHcWZJoWJVc/TBNNy8py7V3rtJpkWxu5G72pq+s3FW18VKab0SvLwt/pMviE+paVxPU9zi+N9jMXNdf00z+hmn/LL6Z+xmLpo0eB0Uv64+k72O78rbhlBXzMAACAASURBVKIheVT/tBif7eCnhYk2fZ035x/CkuYwlZliQrFxfpl9FIMNfbON6mRbH04v5fTm4zAlGpJBfnM6Es+z7cPsRJ0f25ztToAcPcmZfTruGjnenbfCPjRukUW7SbPRTe7O01iSud15SrqbHv2TWz2/rr+1q6fYN7sqrSlvKibKycbrcndeu3OS5+zX8dnIV+5p+HzcLio1h2XLp40my9Q0b9IEOunbROvGHo/Hup7IL+lPzMm+NkekGiN8SqN2pxwln5Jdm5yfvHd2QDdzkdo5+cj32u9i2R5oKAfcDpT6QDGkPKaY0JjT5frv4HNjJHNTe60mSJ/LN6cryP517EQ1Q0/bJkhKCierJUbDNp9cTiGlGws9sR/+dj5luJuoPinRwmgzCUx7aIdJz6f8iV0nk1Rc6qOJw/mY/O12zeZOlOpOk0Zqd3lpEnC7CnOnR22arS2E3G7U4/HAuFEf3SQ05m7nYzvZudprNe58muo86VL7tbkdoTl2xueDqrPRnWscKQ9cjSmN2kF+aH5qcXF+c/J0zNk0d3vcDuiduqdGeUgyNjmguLRenV7KScXpaFK+O9qkq9WGw5JwOhubfclWJ8fZt/FnsuNu+xCLqNlSEihdkrGV2xLaYXC0eqPX8+v6aUG6iVcnxCnfFTMtdqY+mnDTooieCLXRBJ4WPCmmc8zdFOZklXykiybCm4pSxxP2ZMvGXrWbJv+0u+B2oNrTtMOm8aZ80FxLCwlaPLsJj3yW6jUdU1y1ORrn12nTtPc0fZB5f39fzVnn6GTN64mrPUTNa11Ak+1urPlYzxOvwzttOo3yKs1R5KtNzF1rD8X0QOfmS5fvs5/G5zX1J7pUU3reYtmOmxxI9AnTXX533frvtg+7iDrnW5oW8I1jtzQUNJ20XFG1p5l0U9Ji3ew6pIle6dKCY46nJ93Tv3l602Kf8SI8Ti5NYOmp1S3oXGG2XEs8rvBdLlJz/qX4tbF57egej4f1k/rZyXf66WFg6mv1uelLtHqkuqXjsYkWUJRz1O/yiXSq/ilL6Zze1igXm9+SD8kepzPRUc5cl9+Ra/NRwtrqkebPZxfVbk5w2Bp+4mlxc36nHHBjRP+MDMJPOZZ0p/6Uv1+jffqq0l5sybHzqDx0JD5KZHftZCqNFou7iWs/PanM1iZpp1d5aeHmeGgi1huHo6OnQ7d41F0JPXd4aEdFMblFA9k+daeiTfk3G01QLY+pwNsCeTbaPSIZzmbKoanT5V6KzeRLCzjF1GoyjdGEOs/pM5vL+3OtLS32aTfOYdQxnUPmeYtFW1TTnJn8QrWitMmvSue+l+vqmubM9sBFjbBPGdfF37Pa9LV5vuXCJu9dPJQm8RI/4Wl+c7g29ImO8Ca95KMm52779FWkfIVGxUqOoQTaBJWcvHG4jqWfNTjnbquaFhwqQycImszbgio9JaVdr80iRCdz0j/ltSKmJ/s7T4bOlolxW0iJpk1CLcdc/iputWE22p2g5mIw9bcnbB1T/7vFteqedaof8kmaONPcseVz+rUu6UbtbHeLpyOD/sx+NrcoTbGhBy7to0a+12Pym147/7u+ZGvzPfll0lzX9ZOfViGsim3zoJoeENI4+SbNEamlWJAO1ZPywNET7lSXiYbsSDY5bE5Hy81n24d6nbcx1Bmegul4KAkID+l1TXdfZqHRrszs30zcqm/2qzzFdWjoqZqedp3OyaP6CNPEkYqFdlJooqKblsOkfVR4ipEmhTRZaEs5Nftnvky70ySuMaW+77776a/HK2bN4XSTVn/TQ8Th3dYa+Wo7Ibrc2s4V6v9ph8vL6Yf0kEOL96mfFj/0oKP6HUbNI6o78kfL8TY/Ev3ZhVJ/T9xuLp12unP12Tb+LrZu8al5kXytLfnq7nzSZKZaajV1d0w/DX+ib7JTXpLdTe+z7dPLEr5C+/z580/6KGCtLzmZnHlXjruejRYy9PTUnqLcbsP2qcjpJx3an57CVK/TRTpPI/+Rb9VnacfJPbGrT1KOtAJuuUDFTbYqLS0i1V7X0pO50z9xpMVBunklfyesaUIjP5Nfqc4drZPXcm5ep8W8kzHP3U98EH3aabnb9OHF+WOOK0byNdVCip3qpsW6o1GfHNo0nurWYSGZE4fq1uZ4yWd6pD7nx1Q36XgndoTBYXGYnE7SvbHD8STsDgPhvNs+xE6U+7FNCrI710aBJR3uuuF5PH786kOfmNwCxRVbe+qhnQi62bkJ5Iy53SDlVb2uf8qgm4beCNxTfNqVIBy6ozZtSwsA9YPSulwgXClH5vkmp5zN1+VfybSWnsrdgsZNMC4/aVfD6dcb0AZ/q1HX58ZIFn0mz7RBbZw+cL5sPnN1lTDPuUSb2+3Sm7170NCdMNU9W/MtnTu/Uh09xvzp6lntJD+45uRSLqmN9ACp52lRS/N9iz3NDYqVctedEz3xKSaSkfJigy3Z3fqbXtKX/PFK+1A/tnlduyBv+lJitEDNa9I1fwzyuvhLqDQpT9rZ6CnXPXXp9d1dgImF9Gz0qzw3sdMTPE0sioEWa87fyf5J24qcxiZNKvDZWp5Rkd/ZVZot7cDN3RDV+Xg8Yn6SbnpAcLGgXYLZUp06OsdH8ki+yzvFvMkv4pu0G3tc3DZ1T3FTvG5ea7lOY0pHcTnn7V/bKN7t/Nrm3lZvE1fKX4dR9SsGqjvy7Wyb/CV+sncT/1YnSY/2OT0pRwgT6U5ynY4x9tKPbf7s/3z4ffwD4uvq/8DQfSav43NytL/R60f/6eU86j+opGuldf+0knTRucPpZLlxZ4vqb/Y5OofPYZ2+dzgbrkTrdGq+UT65vKFcJb6Uq443xYlywPk09bkaOLpTvjrdz+TCpCW/NL87n7eYUDxSDZIfUj/5I80vet3imnQRP/k0zX3kw1QHJCPl9DM2JvpkF+X+JrYpzi1+7b6zyeVN/JL/G/023jTm7KOY3JlPnd3N1gXfS/+A+EO8zruu/GQ2zx+yWnX02udkkXynx7W55a6v9U7TV1fnuHlSbK/tpizl27zyUyy0c6Q6Ez7yg+ObPC6uaqfjT689nH2nz/llYtDPxKT0yuvGEo3T5ezQc4rNtNHZf+idXdPvbQdKX724HQGHjeSRv2YjX21jk+L6eDxsDUxb1K60s0p5ltrBsnld6OYZqtG2a3l0O5/oOOW5o2/2bXfXNafIrpmTh4ZwkB1pl9XlutbZ5HHyWs2nuYDmB6Jz8Uj1k3Q23E7ORlejafnlaFx8yYatT2N7ZQX2tT5XeUp8hFWvjl/L1a3K2vTruHsSak8u2p/G3LHxNb0Op9qjepytZK/DpnwkY/o3yXKYiaf5+JKnE5eHLidSrlH+Uh65HHP+czFRn2xjmzBQ3rTYbLEqTfLTpibTHJDi6PKN/EltY6ueUy4QplRPDmeyaerf5LKjS59UD5S3Gz+S7RSPc76p79m/8Sd9Et553uKf8nibOynX07307r34TuwdTat1ytHmsy2+L+cv7UR9iO9Evb29vT/Ck/psSuOajj9gNUtjikHp6b07fTcn7ag0Oc42wrc5n3wkS8c2uKmlnQn10cR58nK7s0E7aDo+Zb29vf3EF8kfrhG/jikP0Twej+t9+c+X0/cv9Jp4KE+SH5OOOZYwnLbdJVFftZg5emppp3O7w7bJu62Nk8/5yuUC8czmvguV5oltH8VnjmtuTUyK+xk/0k66+pVw6VyX2mbuIxvmnKNtExfnaxqjRnXj4tri6XSS7BYLR990JzsTjfS/9J2oD7OIOufJieS81L/9KM9srq9tP9M2/6E9fW3yJZyKK9lAyd1sTjalG7PzT+tX/bSQOLo3/Unn7GvFvfFbytmUx46G/N5u8psFbvI95VlrG38T/cR8Nz83MZn9c/xca57NRovXeU4LQsq5SZfyQXW0Gzctnmjxl/LxtOb32ZdoznV7OFD7Wg45W6dcXbBQjU4b5v1wE+u28FNsB5P6hvKT6tHZkmqGdLa6ohpyMlNLOhufw0YyN34wfL+ORVQK+Dmm5J/NOZZkb4Kv9OqzZyYB1zZPrXcSeOMrJ2teu4lPMV8XLxK1bzYdp19ybrt5Ux4tPGixR0WYCp78lXLU0UxZaq9iV1+kHZ62sEw5P3M8LUpV9mxpkZvqQ3FRDTf6Nn+o7IR1u8CacpTG8aQcoV2VdFRsU45imzfy5sMtnbPD5TRhbLW8yUVHnzBSfU/ZbdHnxhIf5aP6i/J9Y0+qG9e/kUs8jp54ye+uJrf46Hybv1/OX1pEfXqW8XfRUsBbst1JSko2FyjFM8dPccyiaUV0+mZT3tmXEmyT+GQ7XTueiZduiOmJfPar7fN62qU+dbJn037H0/x7jlR42sjX5M9NDJ1/6Wk3LbhpV+S7776LGM/x7e3tJw8LEwvpU8yOV+tm8qQfoqSJUes55f/so5xVTN9//9Pff6OacDEi+1J+3d2hoTlG5dBDxDl3/W7MtTQvtdqnudEtbpV/84DkbKP8aTt/yaeE19mf5pw2ByUeR+vGN7I3MtqcRnhURpPt4uny8hmaV9qH2ImavxN1XbsguHFymnOio6ckcHK3W7ub3RI3tiksh5NoHI/jdb7dPPmmyU5lJJ8d3W5bfcrSseb79kRJOTL7XJHPsVb0bnyzi5B2PFw8SN7so4lG8c3vprn4pxsI4UsPGopRG+VoqnnlcwuU7Y6Hs5uay8ltzSZfUz1SrLVP/4+cy/3NnONsOY126zeLcLWp5ZXSuP+T55rzPc0PaQdqXiebNaebT1MOu2vlSTXuasTpSmOEp2He6EuySZ7D5GiMjJd2oj7ETxycXyw/LTmLHKL8KVFIJgVSdbiCOi3tIKQdkcnvsFLb+srRtEQj/W07W8fcubue+s5T/XbHS2lpgmsLqNm3zTXqT3k4FydzB2Pu0DQ7Zj45X7hdE2efm7BUlottqgF3A1Gcrj6mvvPXL6k5G5xtR576tuVk2gE6/G5nau5gTTk0j03MLl4aS1qYnnP19ex3+t35bGn+Pe3E6/F4WP0HwzyelmxWXr1280+aD6ku21w7sbY8crbPHEi5ShhpjkljbR7S5mgaVqUhWxptk9FsJ9tc/8YX2/YhFlGzbZLa0VCgSI4LQArKOW9P4a+0KfsZWxz9HCeZ89rJP092Omm5RSHZpZNne4ojOUeGe7LVG4zq1cnO+c31n75U/I5G+8+CwN1wW/64nSc3cU87Z5zopubi7vzgbtKKf147umlLWyBP/uO7lvtUry63Ngv6g0FpWp27BYJ+DynlTlq4OjvcLpp+1NfbeU+xaV9rtKBOOzs6x7p5Jz1stBrVfmdfqzPt1zqjhznym8Pozps9WzqKtWspL9L4Bp/a1vQ739D4FuOr7dNXl/hE+/z5c02M01IyNNrZpzJSAsxzesJwNwQttnZzOdfur0oUs7M5JUxKYCfL0d5Z6Mw2J023GKAJ/s7TqZtQUzzSDo3y6IQ4v3R9zpWGJmDFnXzkFoGO1+Ua3Xzpr4Oc/XOcbnDOrvRUnhZN1CieU99ZbF3XT38eQ+noBk7ntKihnRBnf5uv2uROC6q0mHA1N/2jPtJ+lT3zYNaAwzRluEWeoyOb3RxJcdD8Prjn8Zy7OZFqT3XT/K249agPHDqPzHOdoxxfmsOmzGkb0U95J2cTT7v/TDqnK+Fw9eJoEn2rN3fPe6Z9iJ0ofZ03213nzT7lJwc7fSTnurhwrss/petOgD4hnuZ2C1ICbhJsm8A0fvroyX1OEpsbvo4fWWlhQDIcDtfSk6M2neDdTcDdYOjo7Hb8hOOck21pseZsSRPc6dM2cyDZmW7ys6VYuZZyQ/VQPrj8dTfzeZzjbRGeFminufnH9dHcoJiVRsec/9RWR+v0qvx0E3d4tM/J135axCRZ6luaEynP3YLP+dLNb23Bk+xy8Z30OseqjjYPUF66XHYLOO07r8bv3ktd3hN94k339y1/ux+u2yu/1Pm1Plf5heHrxi+SPuCXUVWOjutHZemv1dIv2ro2x/TcyU541QfJRudPx+v6yf/ODrVH7VIed3Tn5GOSmfqd35sNpD/ZnGJNOuh6y0v+cbhSnFPN3fU39Td/UZydL7S/4Ul9JIday2W9TnON1q6Ts7X9Tu0km1qsNn5Q/akmHc5kL+F1c1qa2/Xa+ajlTaq3FA/KTZXrrsm/27y5U1tTh6Pb3JfI3zTvpLUA1ZSLP9HI8aVfLP+0W2r9btt8nfeAFaUete9hVpVOnmsb/vTU6Z7Q3ROxo3E7T84X7kifV2QpFtfSNn3bmaCdDH1yS0+o5E/SkZ4aacdCMdDOmutvryDcbkDKDdpxUHsdPtVP9aVN+ze7ZykPks3aT03lJB85GtfoyT3tpm53eja1Tf4n3WqX2y0ge+g87VKoba2mNzsa1FItteN1/fRV9XX1txaOTjGQnza7yNqS/eTH2ac+3dLS/JHsTPk/+9x9mO47d/qd7BQ7h0Np6PqV9iEWUdfF23G0MJg0eu7o2s2jJYKb5F3CuZvFpNVzV6ApuSgBne2UcC2JEwZqbVJPk9+84dA2uDa66abFBt3c3QS5mWimDLp5KVa3QHTXqZHtzmeaV62uqNbIttR/dwGTaol8SfFXX7cbPTW3WFM959rJSrU7x+f1dsHs8JEvHC81ukGnBZXzsVtITtp2k3YxbHGfjeb4eU73k4kjLW7ItnNO2FpOOp+ozHTe8pZwEQ3Fk+LhWrrHunMaT/c1d313brvbPsx3oshBW4ffDYyOOTmnuYnEJc0sCkfjklOPhJ38QS3xOZrmJ2rbiVlpdYLUm68e52d7c9Cidwu1icVNZBNfeyKdR+07526yc/omPucLtactXr7/nv+FUJpQ5tjb25u9QaqNbgJX29INlvyh4yonLWSTbxxuWpBO3U72HN/MS+5zZLmFyoy1nju/TXtoPnLxm77a+tjlbWvk4zPm4u367syVVAdTZvMxPTgpj7OL6tPRq/+J1tVTipna6Og1DxyPay7v55HolbbxpzjSPZSwvdReeRf4tT4XvKt8mHekieYB702dHP0knfoe2PW198ZJjnu3rDid/WTPxmfumnypfdTIH4nnFT6ld9fuqPJdPhA+R5PygHQnbCRrM+6O7++cW3drbWP7xncNM8V/U18Na6pTskNlk33zPNWx+jv5euP3hHFjmxvf+ovqb1uTTtfmM3nJ1zRvOl9f47t/yR/NR4mH+Oi66UrYSJ7Do3xOT4tpimG7n6UaSTzpnunGof5e+k7Uh/nF8rkbddrDrBr1/GFWktSvNIn2AStV2rVw17Rl7bam6d9dNH+4/mSj4282K827/HkzPbW3HaPmS9VB4+4Je7PdT227ZU46aXvb7XBQnmx2QkiG6mxxbXlDOfN4PGLeqy3ks/TEO2nJ3rTDR/RTxx1Zyuf60tySajfNOapP/eVoyQ7abWvXW94We5cnbQcw5cpsLcdbPp+5LeVQ20GlPqpPkjVpqDZSTFPdER7VucGa8pLu6fNaz11NKO0z1yT78eIvln+VnaRXP1f4lv0FK8yHrCYfYaXqZDg9ib6tzM/RrfA34xuMybbkAydD5TR/zn61Q31APiP7KbbK53zprrU/+b5ho7EUe2dT4tnoSK3pd/WTcmGbTxR38gHFteVDszP5O/mx5UercT1u5q5Uly1nnH8U18aHzSbyUcqz5s9NXd2pS5fPd+bITY4nm+74jLA3X6ZrJ4dkNX+nPHK4qE/H6R7jYufi0mqJ6od0Bfkv7URtFjh/5Lqu//66rv/puq6/dF3X91/6/8Hruv6767r+l+u6/uPruv72L/1/x5fr//XL+D+w0FGdRpOP+1BhteJxtJSwLVlTMWg/4UqJ0ewiv7SJfuMvmiTI1q1PXHEmuc/yEzaKL/Ekuwh38kHyW8u/ZDctmFKdEJ+eN3xkd8KefJz8Tj7b5mjSQT6f/Wny3vgz+XRzTtfkz5TvxOd8svVv8iPxNV0tb7dxmL5vfmq+Uz7ywR2fNX7CShg3dJu8InnpHvZKzHRsM0ct7nm/8584+JvXdf2p9/f3v/H29vaHr+v6b9/e3v7z67r+teu6/p339/c/9/b29u9f1/WvXNf17305/j/v7+9/4u3t7U9f1/VvXdf1LyQFnz9/vq6rv3ZyY7MRv2sP2dZT2nOdXkm57c3Nl/naljRhnLgcbjdGdqkOd918RPbMPucP2uKn5uQ5PWmbm/QmjK7R6xM9T36gsYRJX81stvfnP2KletFzlwspP5ItanOKidquNMQzadNrBdLjzqfchOnoJF+3eYvmK8rt5M9ps7b22k3ntlZTqTX6JmPmu4sn/eI+zYVKM9vG9y630mt717d9Da966LUi8Sof3V/aa8lWF6rfyUv3mTQX0ZjrT/xNTpN3p9W/zvuyuPwbXy7/8JfP+3Vdf+q6rv/kS/9/eF3XP/vl/J/5cn19Gf8n3hb/VpuMSwuFRE9F024meu2S0RWJTvjKf10//Wuq+d54i8clgtqbbG+TTvLfbPP/6aXvA9AEnyYit3CYY9N/zt9NTvrOw2xuYlK5bhJ0Nm18MvW07yO4SX7S6E29xZNyaY6pPIdZP67duZHqYsUtHsnfyuP8r3qnH12+uNp2/xfP+ek0V8+TNtUJzUPuxqc2040z+cQt1ii3XS4SZsoZ5dXF5PYmSPOko9FxrUHyzaFVHzhbZ1OaNGfQQk1bmjPUFtKT4uz43Dx4+qgGXL5vjqmW2v1uykrYnm2rnzh4e3v7Q29vb//jdV3/13Vd/8V1XX/luq6/9v7+/v9+Ifn967r+2JfzP3Zd1/9xXdf1ZfyvX9f19xiZ/+rb29vvvb29/d4f/MEfXNeVb/7nnI7kMJLr+p1z26SjiaSTiLv5zXEKMgWXfDTHkn9awm2S7VynxRM1t2MwG008KnveVKavtZjbU2SKk9PtnrxoIt1OgBteZ7vync+2hiiuSufGtU//STXdGNxN091Upiztd9fqI3ftGi1Emu9nHbs6cbWY5qD5cQsQtxB0i6VUN7pwUT/r4lev20OGa+4hg/Qr1sk/58s2P066xJNyvfmRFj1q++FTP7iYbGQqHoqhwzHP28JYc4/kqD2nvb//+B+GpzlJaYiv1VSaq1oOvNJu/XXe29vbH72u6z+9ruvfuK7rz76/v/+JL/1//Lqu/+z9/f0ffnt7+0vXdf1T7+/vv/9l7K9c1/WPvb+//98k9/x1HrU22bdgpX7Sc46uAE7/aZunu3YDSLj1o3jdeJtktI/6Vc+8fh9/pZdu8nSzc7yuP9Gl+Dg5ughKCx6HnWzQ/o3dE6dbnBEfYdYbzWmbGqFJRukcz7zWnHC+1pbspQXMpHUxd+NOB2FJcaGbeqvDVmezkR/VL80n5KOW9+oL0jtpW17ORv51uTL5ya/nmMbdtauN4/uWW9M35IdG68Y3c47zT1qApYe3Kd/Z7XSkup4PFqdpXNpcoq3F1s1FTgbwv/TXeZ/uEL+/v/+1t7e3//q6rj95XdcffXt7+/Rlt+nvu67r//xC9vvXdf3x67p+/+3t7dN1XX/XdV1/tclOSa/9NFmlQDlZjl553Op7s2CgBGuTsdrqrtV216c+SomXkphkXtdvXhnNyd75S5+MzlMc+cO1NFHN8c0NdPs07Z7QEs6jq9mymYjTopKe0K+LF09tgtnWHtXXHEs3gLQombzu6VzHnK5Wn2nxobomraNLNbPxmdKk+KgtmvvJJ+qXVDs6rr7Y1BzNl7QYSYu/2cgvbd7azKmOP9W4y9fJk2xKuZ8WXZT/My60oHFzsLPHYXT8jo7yYTNnuHYnVkn+Zt5KODatvs57e3v7e7/sQF1vb29/53Vd/+R1XX/5uq7/6rquf+4L2Z+5rusvfDn/i1+ury/j/+X7YruLJhJXCNsJieg38s65S1hK6PS0d5qep0nY2dQmk2ftTdeUdI/HI9pGhTs/7Yl29ruJZjY3+U/eDd/kV71uMnJPam4Btn1KnPrcZKzYzpjGn2rpNEffxp08yhH1AS2G3GRNCxkac/6kG7j6m/qmHloAOF+pn9U3yqM089zdvDT2bmzapedKn+S4Oc/pdrVMN3vn5ylT51P9vtk8nkZ+1L5NHKaNLse2i1Vnr5Pj+om3zWdpMaR9Cbujc7rpIWPOR665+WP2u7HG3+SQbNJxp9XXeW9vb//I9Zsviv+h6zeLrj///v7+b769vf1D13X9ueu6/u7ruv6H67r+xff397/59vb2R67r+o+u6/pHr9/sQP3p9/f3/y3p+Oabb96//fbbVTG4AqIiSUFINwelvdPSwsAltWJRPC3gjs6NT/40CSU9Tt/Mn3bTn/3zWvndBNLkTFmE44zRZJMwbONKdIqPbh6Eq2Ft/3z1XKe8p8mn5ajToT7b+NLx3Mkf5zPn3+0NSMfmQw818qHSbGr66G55QLgn9jlGDwJOFsVhyqfYqS5qqdabD9XfSuOa41N5tPifGCf+lOPN73fnn0RP812qmYlJaTZzGfkktTvzDvEqP/VNPu37cv3S67wP8Yvlb29v79fVF0TNMTTBbwKm8ua4vrJKBdIm6MM3f6Gcit2NpyTZ0Dif3OGlBE6TPTXy2ZF1fH9o0pNWWuQ4+g2WzY03YWg8JDs9nacbjItpyu15TvXW6Db8j8dj7aN0097e/Kltb0LatFbJXm0uFqlPfbqpqW3+u5vzRu6k29yk7+a343X+afl5J8/bR3Fq2yziN7a5/lQfbWFHmNsDSqtFh63NWbO12kjzVqqZNkeRHCPzpUXUh/gHxOd3ok7bTDZtItsWCvXPsbe3tziBn6Sa/d99x3/m7Z5onW3JrtTvxpLf9Fx5iEb1anHpJKw+OzTOl0fm8es8V19PXfN66kg3Xe0/cZu6aXzaNnFOOmd/wkU3Ob1u8WvxWk4wt3iczmMT+WH6yN00pr/nmPpb88PJc/lGN6TZR3ZRnc2+bW26ccorh5H6XE268Ts7h18v6wAAIABJREFUCVobGr9UC4rn9C9+Cee6rj7/t7xMc+0cd3k08br5xM0Hic7xpPo4Lc2trlG9uEU21aJbODms6b7U+lw8lGdLc0f+K+1D7ESd13mnbZI8FQoVmdKovEQ3/2JjtlQoSndo6If5EibC12zYJGZLPqV3/O61XnriTO28mjqf5HN6sqIbw+bpXmUT3fapuz0xOn8RzXXlHKZxx5tqSOXeyU2n75yTz+ipnZ70XWs7LGlngG4Sc0Gv9qZao/7kc/LhxJNsprpQ/uaDVE8khzCda9r9OOMpf5JvlVb5aNxdayO7p406tvVTqnmSfejSnNJ4HT3hTPOswzLrZVMrej7bdg5z/aqX6MbYL38n6vy8wda5rpA2zkof5VF96emOrt2Kn562FoH+CR1h3UwmjdddJx002cxrfRJ1Oz26gJqy6emYnn43Y+2J2unVJ7C0U+DsJ7n6NDjxuXylyUT7Gm+KucsVJ9NhcXL096Sm7bRT4fJk9p8P7YYcnyr/6deneZcDyR/N9tRHY06P+oIWlLPf5Vy6aabdkHlUPid/0ikmF1fyqztPeannbr5yPEoz52raTWoLI11gUN9294keMPScHjTOmJuHXf2pfrXT8bm4nP6U3y12bc5q8xbNU6+2D7GI+vz58yrhnTMnj3Po5L0TBG2zL00UOq7ndycAN57wE5/zKyWo43W6lI5+cHGeq++0aJ3cw+9usO4mqE0n8InRYZkynT5adKXJS3WSLHfjdi3Vgh4pt10+kHxHk3ApvcNBN5TT5oR/Xf6VijbKB7cQczepmcfkE7U31ZGrGaJvvtZFyCbv6Xqb424eU1qqZ3cz/v777+Ov6Sd/uP7ZWs6nWtBxHSObXE61uWAuOiiH6SHDzXnO/5OeFkWHfh7JzrRY18VTmiM2NZDi4GSl8RTrr9U+fTVJL7S5E3WOaUKhyczR0liTT8E8OyXtKXAmofu3EE1nw5ts3SYO2XgnkVUnPY3R0/2hbX/KfHxOeOgJ2Z27RUy7IZEu19JCb8pQfMe+afM5pjhP2sabYtzinXIz5Wyim3lDix73xN+e+ict5d7MgVQrzU8UH+c7yu3Ep43ymmyjHZPTaHdj0iYfanMLqZS/m/ye/UpDOUW+TvmpclyOpoey2cjPOj+4I+Ww8qW4Tr2KVc91R4ke9BwmN2+k2t9cN7oml+LscuLV9mF2ok5LgTjnzak0pm1TxKno0o7Tdf04wZ38dHRYGn1KxI28je+3NpynTXeTO9entUWm9ikON7HrDhhNNnPiIHxO9vy4BVJ60j/HM57sb7lLYymu5FtHr/oIn+t3MlM+neZ2A5O/3c6gjtOCTF+v38l7sqH5n2goVpPP3VydX/SBoe3iUR3QIkFzvN301fbWn/KR5MzxloOki/A5XTSP0E7SbG4niWKW4jJlp4c1jf9mcT3pFa/mBfmw1ce8bvHR69S/rWPKoTvtQ3yx/O3t7T0Z4wKTCm4ja16ngnU0qb2STGRDmywaDvJPS6rN5HIH+/v7+4++89T0JOza2r/JcP1nTCc9fTKnRRjdsGejyWbaTnamHGj+S3JS3Ik+xSHlydYewuPies61uV0TepImf6ZYJD+lvo3NRN9ioT+/cl1sP+W9O066JjfZoHYkX1L+kPytHPLpHQxJbps/Tmu7dpsHcqoFikl64CB8bSfX1bM2F8MU10bv9Db9G9ov/b/8L5bP70Sd5gLVEps+KjfJ0NYSgHg2gSa+Z/E3zBta0u9s2iT7/LgvjRM2wkr+nq9kzu7C29vbjwr/nL+9vf1oTL8DM3EqzxybclTXaZPH+Zz8sPFJ8j/5Lcl2fk354niSjQk7jU/fzRgfnx+/a/wPX9tpanno7HJ+d3KcXQmLykpxPePzpjjtP/6Y9k+fHd5Jc64pnw/voXX2UYzv5IOOk5+dTm0t5xw+0kUx1e946Ryhu0jTPjef6PmJyfS5xnXKUiwunopv8s6+eU15Sf7VfvJv8j3lS+J3cVM6wvpM+3A7UdtEb45IDneBaYF2WFKwSP/Gtjt6CUM7dy35J8lTGWSHoyEsSnu3bewgXO7c+a7RtzxQPqJrOBM+N9ZoCXOKd5KTYtFwNHnNZoex6Z3XRNdsp5b8sOGZehNeitUmPiTD+XVjb+onX2of0ad434lh8o1iesbuDc6NbU5+itUmziTDyW+Yks+T3RtfJns2WAKuX8cvlifH33GSS9SN4+8kKh0bbUpSkkeyye5nE7nZ4fQnO1M8nN4W4xY3krXVkWwjWoeDsJG9CX/yrRsn2k08VDfZ4cYIR4tX051i6WxseJsfCbeL3Z14qn6HKfnAYSP/kqxt3JO+LW+LWcLpxkhe8vnG14mn9ZNs8qWj2chSeuVtehMP6XK8DffGTyQnnRN90t0wGf5fx+u82ZKTiUbbneRpNIrBYUm8jpbkp+QjeY63JSjpbzi3uAhbi6uTTzFymB1Nkkk0d/25wZjyZGvbMzFucUh01FrcnIxmY6JNOJMMN7a10WHZ2O10JBxbWQ4PyXb9KR7J3+naYW5Yt74nH5JvyI5naLe8REt90yani8ab31KcUr5sdT0TU4qd46XmcCXZycY7em+19/f3n/1zXdf7/Dwejx+dn+t5PulOv9I6GSSX5LhPku2wOhqHlzAmHUmXs0FlOrkkO/mq2ZdkpVg7mk2e3M0B0pl8nHIu4fga/t3mQfL3tr7IlySv4Wx1leogxW+Db5NbWz1bfNvca/0phq2mNrXWYpLy646/qVY3+Xo3fi125I9n/LCpWYrbpq/VexrbjqccbLnT/HA3B+/UgcNPGEx8fu+V9cuHeJ1H//Zlnj8WT56J3vG566Tb9RNd6mvYk35nX5JNdm9xORpHTz65g8Fdb/C2vGhx3WBIdm9iQ5iVXj8ql3hVduMj35CtCR/ZrHKIx/ETb/IZyUm2O7sbTjo23c1/dxrxJ92ExckjXKRnQ5N81mwifSmmycctppv8SXonD107+RufKb2za9Pn5KT8aDYlXndNvtv6eqMr8Yzrl17n/ey7UGcn6lGebB5hZet4lN/Ra79+iJ5oHH3CSPKc3c4Pr+JPfkw+TzZQjIhmE3M6b365axv5LOVLivvGB5s+yrU7/FvZGzs29mzj3uxocu/ITPFv+pIftjQtl5MvEt4N7TbPKcdSbd6x95l6aHak2Kac2dQ3zRXJF6menMymN2Fstju9G59scnaDh/zX/L6pm834Ml9f2on6MN+JepQnpdPo2vG4ozt3Y06X06m6nWzlJazJbrJ/w9vsIRlOXvNl4idZ7txdN36ym3A5H6Sjnrtr4t/IeMU2pdvEJtmQ8Dj5mzg7GcnXjk77Ev02J5Kuu3iajuSL1JL8OZ5i2XSq3+760J0nu1L8KZccVpKdrpPOpHeLe0uvNK/6g/Am2qRjE18nz107+4hm6wvlTfLc2NdoH2IRdZozLAVRaVKQZl9LosSTkmgj95mEIMwpEVWfu246SXbyY5JF8lN829HpTbFKuhPOjezEp+cOF8WPdDl+x+PsUqyOvunc2EU8CccmVhvfbbCR/c2Hd+xr/M4XKT4OK+nc2urkEH3qazFKOFU2YSLbNnGgOCd/EXayfyuP8LZrJ2eDjfTekaFynGzHv7H/rs+bb+/wvNI+xCJK/3feOW+BmrR63hy7CdhGT2tNz9SV8E1eHU+J7nS05CSeO8m7sY3i1mSn3CAsd3jdNeF1jXxNPrhjz9Z3TX+zcYN7y5P6mvwWF+fLeb71s/rKYSdsLX4pJiq/jbmYkq8dLY1veFMsk60pFs6GxOf0N98k+RtfJZ0Jv2sbW4nf6dvgTXIIW5J510/t/BkeZ0PzK+F8uf3c34d6f3+/Pn/+XL8foNeu/yHvRp0Md04ySS7pbueqm/qbzU5Ok+XsSno3djSftJjciQ/54a6dKabEl2LnbCdMLWYp91LuEP7kA6qRlJ8tZilvCe8mn7fzQYpNknMH5yY/Ug3cwZ/8SvXUcqTZ2Xy9zSfi2egi3yYbt3XS5pw79buthzv57WjaPNF8+Qz2lOebHLgTP6oFyneqicYb7Pjl/3Xe+bHNxxOr0MR3GvXp+ENWt05P61c9jp5wJN1JvpPj6JudDXfiSz7fxmtjA8lJdjh7HP6tP7b9KlexJywbPcm/rp94yQ/Ojq2PlYfidTeOG/9Rf/OLynV+3dhHvIRnY+MmRgkXjW377viuNYeL7HbjTp6eJ9wbPHfomx7ny8Tb9CbbGw7Hm2gp7u56G0/y9dbepifZBBhe+uu8T88yfs12fmwzJdtpyYGUeJvzltTz+k7Sqcx0vU22hCv5wdmZZDpa8qHTk3Bt/ORsc3Rb+0luom22JzvIf01O0k+fhJeumz7t2/ikxcXFocWGYtRsSO0ufdI9+0hOi+nGJsevYw13GyMbEhbC1Pza8FNetL6mn3yX4pLkt9i4XHFjzl7id36+I+tZPE0/+SPJmP2NR2kJH9GTv15pH2In6ptvvnnX70XdMZaCuEkER6O0TneS63BtMG+CnujJfoe12ZbkJ7sTzmSTk7eJH2FodrjWbEt9rZ/sdvFyeMhu0k38DgfZ0OKjjWSSXCdP9RGe5O9md7LR6SB7qW1kNDucvO040Wwxp2viU54Uw0abcLlx0uP81uy6g1vpnS53TfFrfttg2/ig4bsrM+Ejf1FMU7y3sUzYYOyX/29frmsXeDdOQXIyk+4WOOKnBGltk1gNt5O3SUznu+Q/J89dt2QmOSmW7kOyyI457q7dGMm/w7uNHelQu5JNzra7+h0ed+5oNv4jfOTDFK87+J/xRcq7TQ62WDpczZckl3S0zzN2O5vcOMl0vI3nbrybTtLnZBAu0qE8ZMPWt8lnhMPhT3wqo/nxGR+4c/KDtmTHxg9kC+m72z7MIuq6cvLQeXJgClgKQJNNgUrBu4Mx4SGMTWfC2XxM8lq8lKbJbbhJHtky+5of9DzFKsXjru4kP8lR3ZvcoNglXM4vG9vJt2SXnpONSTbJar5qftvY7/oVI/GQDseT7N/gdLSkl+xx9Amvw0k2NptajIiecDgsemxYiSbJS3JorNmXdJHtyQdOF/m1yVA7ko0kn2Q5fj0S7qZn0z7c67xnm0sUCn5LipbElAwURKJzNhCeDS7nDz13Mhsv4XH85Ceyxemg2CRZhLW1RJts0/4tVodb5bjrFucW45Y35DeKf5KX6FsuJVwbO0gfyX1mTM/vxn+r352n48YPTX/S62jIxqQr+YJs2Nir9FueZ+QkW1WG43XnSUbC5OjIjmfoKV5NJtlPreWJw0p8ZAf0/fK/WH5dOahzvCUOJR0FhTAQDkfvkqUFMfFsk8nJb7Zt5Tq/Nv1K1+xNflB5d2O55d3ocjhVzx1fkF49J9lEQ7EiHdv4k//mmJOp4xteiutGDtlEftiMb+yhODtcza8pTklvwk5yne2Et8lrWEg+4Sb+hm3ypzjcwZD0OnwkT7FRfJsNNE76SEeyU+UnevLDHR+kljCTnjufV9uHe51HyeMC4xxADkpBSPyUCPPc4dVxpzddN/vJT3dsJZuaj5V2g7H5hPx8V+6GLl1vfXKnj/yW7CN6ai1OaYx8R3Ka/5oPkp2Jn2Ln7NnoSLRNT7N9Q+/4G1aSvelXm5M/tzEinaSb9GzO72BLsdT+5gfSQ9faUpxTTmxj5WS21vxwJy8cvY4Rtu0Y4XD6nV7XNjSb9iFe5729vb1fVy6ilIjEo7xOnuNN/E7/NuE2QW1HSpTmF2eP8yeNk4xkw8ZXTh7hUjufiQvlQcPieKk1fzdbmqxG4+xTeqJpMUiyHK6EJdnvzgmb6292JFxNrtOhchuebUz1s8W/wdj8T3rJhuT7JJ/wkCxHk/QQv9PT+JodzUevYiI/uM+GZyt3Y6/DnOSR/cl20uVsSX4Rvpde5/3sv1b+ZREXf631MX5t9GF+GZVor5/+Mmn8RV6Vt5GZ+JSePo0nYW++U9zNL0R3Bxv5q8V16+ONHzbX5PN0bHI3PtjGd2t/q5tt/dyJfcuhu7nXcqDJ2fgyxbbJuYOfxlIcW960Oml50fJom8MpT1NcNrhbnmx8kfJiUxvb2tzkAvHcqb1Gn/xxJ4+TjzY1tcGy8VOyIdVqq8GE+/o1/WL5pj3CKvScP8yqNI1veR2N0hKP06cyEx/ZeQffBr/qIRyEJfmU7P6adJt+sneLoeEjXck/xE8yqansTdvG28km2+g4+ZNvmp+U5pncIf4UE4pj0pVi7+Q3G/TYYtPkbHyfcCZbSVbDSr5QnQl78/8dmvRJdiXZzr7m+2Rnwupa85+zJ9ng5CTaJHvrV8LQ4ip9L+1EfYhFlP7Y5ibZZkvJQmObAGx1UYK3REgBTvJmn7MhYXd2EN6EP/GRrcl+tWkjYxPXDR35fyvP4acYN/u2fiKciZdoXLvLR7aRvI3P2/U2bk12i6mjbfJIN/mTYvuMTh1LuNw56UxxIQzJro1+wuMa+Sj5h7AQrcOZ5NDR0W/t3Y47Ozb2JV13rzfySc4z4yTf2TN4fh2v867F1qvS6ZjyO15Hey23Dt3RyU14HK2j2cgnnzyrL+EgvU0exSrF09Hd8ZXrb75N9m0wb+Kdci/hTnHe+ND5IX0IwzaGzRfbHG/zQYpzwvpKfDd5RXWQ/EryKM4tBxNfq4GUR0l+q6cms+Vx89HGphaTFI9Um6mWkuxt3iasrb5Sfm7yv/mcYtry8RXfbHI89cv1S6/zPl0fqD3CU4n2Kf2UMY96nq6132Ej2q0Mxa1yCaf6w/E125O/nO7kQ4dpa88G88bOLb3jU70tnsTb+u/wJZvcmGsuFqSj4dIxJ8fp2Njp8sVhTz5wdjg5CWuTkeLoZJKNpMvpdvzJ3i3/Vl/C33KEPo2WbEu+TTmxiW+zjTAkmqTL4SLZdCTbWqwTruRHwpDoE14Xz+ZnGms+2tjYfLVpH+Z13rfffluDtwlicsozidP0bzASPqJt9rhEarzP+LJhU3l3k5HscLIJI/lBMTXsSV/DtfGZo024aXwz1mQnfzY7HH2zf0PjbKPrJF9zaiOX+Fx/k+PsclgbzuafjQ+djc8ek+8dj9N9xw6yqfm62U0ymq5NzJw/CIvjUTwOW9JBtji5LRZJhtPprlXflEtjqpv4km6yKWD+5f/vPP0+1GnkhJboRKsyNVgtmE13wkljDlvyQUrslmRkO/FvdW9i1nA1fyVasoXsS9jJ9oSF+B1OOqc+lU3XDlvzwysyks0Jc2qEh2SQvydupyPZ0HRscCeebUwpDqSX+Db+TzpJ7wYz+TX5krAl/W48+flOI16yUcccLfFvYrXBSDId/d0cSf3bWG38oDmTZGyxOr5n82K2D7ETpb8T9YyzlV5bSyono8l22JSPcDj5Tm4aTzru6N7w6XHrm4RxY5PLgUbjjht6iufGhk3uNX3KQ3I2uUY5lHy11Z10EJbmn0lHOCjnWtzUby0GDYfD4PARBifnDp+zhexsvm9YtjmjPMkektN0NN6UEwlbi+E2ZwhrwuuuE16yU9sWV/Ml+ZxoXH+S68aTLQ0H6Sj2/Xq/WP4IXwa7M+7O9eP4VXai1X6yw+EmnY1+67ck32F1NhIt8af4NKzJX9trF8tt7Jq9Dfs2j5sdKQ9JZ4pBi0vLh02+JD9t6qv5504tpdi2mNP8sIlRq49tPO7k5TZPST/5a0uTfJxqe+vzljt37Uu8m/pJtOl866f0ITtSvm/rrMVjM0Zx2NZYs71hT3kA9fjL/52o852o6/Kr0ceNle1jsWpVfieT6LURhiZng8O1Z+1LvnK2kIw7Lfkh+VL7ElayrfE+g9v5m+xyOJJdzR8bH7q4uU/DR/5pWBOti63DurFH5ZEtTV/D63QnvSr3Tl/DsrWr2dfs3eaJi0WyjfqaTLKR5BCfk7OhbfFLeJxPmt/I5qaPZCe7CPOGP8kk/C2mKR9UfuNpvhUcv/zvRJ22NDgm6BwnHUqzTR6XyEnvJogkk/Q3nAnDxo5kP+lqsdIj8W3i6WjoOulx+Da+JZ7kE9KbMLojjZOOpHtrj8PqdN+hvRszspnO1ZaWC2TLHVkJo+MlWXTtzpvdGx3Jn8m+hPeuD1K76+dmw0YH8RCOhInw3fFTin/rJ90bOmdrsoP4Ugz1PI0lzMku4t/mR20/96u88zrvEbahH09uHT7C1qDKVv6kX+UnXHd53BjhTzKIhugS9ubDxEe+azJejRfZmsZb/qUYuPg22qQ3+TblecKcdG9yOeXhs/a02KRYp7ik+Gxrkvx8d36466uk+w6m5u9U33dybVMvd/Tcieu21jZ11WKT7CA7U45s40t+aX5qNd5i+ax/CNOmvtp5wpp8VOL20uu8D7MT9Vg8ZU26h1kZ6yfxbTHd0d/4lUfPaUzHm/xkj9O18TvpJ78nnA0fYdriTX4n3G6cbCbd29htYkDjCZPDkHQkfMnvida1ZNOdmDbfbHxOPKrzjl13dDjeFhfloT7ya7JxI3vj541+kpH86HyU4pF0ONxbWQ0z+c5hJluSL5J+6qPzO5jJV1ucOubsTjwJL2F3fM2Pr7QPs4g6LSXHpGkJM2UlXtLt+hUX8W2TdNOnmJWuYVG6lpybJCb9LXYbnS25U6y3mJuu5juSl/BuZG/j6cYaNrJ7gy9hueuXZHOLfbNF+5xdxJN8kMacbtKTZOh5kpF8TrJIn2sbG5uPnZzU5z6Nl+LY7Es6kyyimeNJn9Of7HP8FGvib77d4HT9iXZekz7Xn/C7cZcnG78R3mfbh/ti+XX15GwOVhriSwEiPSTb6U6tJTPRb4rJYVS6dE16Nz5IsgjXxk7i2cjZ2qfyVE+jaZi2mB1+x0v20fUdbFv8yV8bu+/2zes7NpBvCB9hIJ8Tti1/8mPTS35wmO74sdlFGJyOxt90vBLHLeYUMyefdGzkb2Q2u1Q/+YhsT7lANjafJb5kV7N5K8/5Itn95fqX/w+I5+9EJUe5QJ1GQZznKWlcc/TKS/wUSO1LAXe6mkyyjcbu6HaykkyHfRPDje4UG4dBMSaczS7S1fKBdCV/JQzOns31HTu2sWuYkt+dfoe/YWu+J98lPVufkC49J9kOB+lO9jV+pz/RuOsNRsLbYpFwO7s3thEmkp/0OhlE0/qcLpLf+Js/3XizM/mp5cY2H5wdW1upbWM6+l5aRH16lvF30ZqzNwnW+FPh3NGbEislREr6lnROZkvwdr2l3dqbaFPyJ9uf1ZtkUQzu2N3wEEaScQeTykh0zQ6HTxvpargatmnnJt6bvkTrPnNM6ZK+jZ6tHdqc/nbt+DexdfKcHRQ7J4P4kiy1Jfmw2eN4nE/u0m0xke2bmDY/b+xUvo2uO3yk1/luY0fSN4/an/pSrEnGU+3n/su8+dd5l/lW/lX+8kDHHuab+Y5XdTg+wkRjzo5ml9qT8Casd/zheMjXZKejSz5MNjY/J781nuaXFv+Nz1KebTGQnq19yV+pL8Xnbu5sdGxreqO7+aLVbrK11VLLp40vk+9SHhLOZ+sg+SrFNeV6s2eLlzBtfL3xwyb+m9zf5CPZ0XBtY3intrcx3sppeZhsTTwp5u28xXbIfumv8z5dH7A9ylPWpHmYFezDrIYdjZOZMDlsxEt0KsvZQ7Y3fInW+YZ0bGxMfk+YyE8bnzQbNjmwwX8Ht7t2R5JBmFLfljbha7Y2vUmmtk0cN3goBttYOWzOpjSe2sbGpnPrw0bv8Ce6FEvyqRtrchpGwpx8QnLa+IbHjVEfxSjxO0yb+DccU07zpbM3yaGW8sbpbOOtn3CrfOLZ2LRpH+qv81rgyGDnqG1iOBrqb4ns9FNwk42UAGTfRm7CmPA1uwmXsynhSP5vejc2NfuTvWTHXWzJL81/2to40RAmd+34nIymP9msfVv8iX8bh4bF6Uxy7uQB8W78kfy95XO0yY8bXygf6W/xSNjSh2ibfYmH+JLNJCfZ3njJXqej4Uq2OWx3dTf7m7zmuyYrxVn7mv827cMsopwj21hyvkuCpLfpdDRbDK4/nbekIH00lhKKMGqfo9v4Qtsz/iQ6immSRzR3/U68SWbi0fMNXdJPPkh+pFxouu/KSfgIsxtzMsk3jdbZR/idHeSHZlvD4/SQT5KfSHfz+SYOz+QH0SVbE9YNphY/+hDtFkuiaXIpFo63yUxxdTibTURPdqZcaH0kU8eSHNf/NdqHWER9/vz5uq5e4BvnJH49p2RMwUvJlQKmOkgX0dEYYWo4m4wkU3E4uzd2EE/TmeTe8Xsac37b0N7xh7O16SRZSS/FMuVCw6h8TUfyldpDtjrbk48aVjrfxNT5J9mSeJov6XojyzWKraNLGJPOuzFMNm7GNvIpBhu7KI6EIcXK6SPdTn7CvMFLchwv0TUZKu+O3TSWMG31OH2vtg/zEwebREjOnW3jcKeD5Dr6OdZwkK6EpQWXaBPfHZ82OU5XwnEnabeJTf7d0OqRfOHwfA1bUi6SDofRjTVbEj9hfjbWSYfzf9LZdBCOJGvjd9LpeEkv9Sm2poMwJhzbOCSfkC/onPDcwUdxILluzOkjW57Vm3ju+Jf8mexwstN1a0nv1J3i5uiSHvLjxkfP+N7IfOknDn72v8x7f3+/Pn/+jH+NcpW/1HB0F3xLX/kcjcOgOhq/k+fsUJkbrERH9pO95Nfmp4Qr+fKO/Y4+nad43YlDiznJIX8nO1Ismk7KiaQn4U65cDcPSMYWT8vTZ2W2OYJ827Bs5Sbelk93cnzrM5Lb4trisPHvxg93fN5q9a6f7+h6Rl6LaZp/NjnbbE55dKceNnW1za8271Afxb/Vinx++f8774cffriuq69+tX9ep3En62FWwiSX9OuY43sGa5JHflH6pM/JTHoc7UY2YbxD5+gpFs1uZx/Z2/ju2rLB7eQlXxPGpu+O3+7gdjY4OaSD/LfxkbOPYrDJizs8ycYUO7LJ6U+0G90pts3fFJ8WL6fD6SQbn7E5YSBHW0LUAAAgAElEQVRZG8xbTCSv6VC7mg2beNF4om2NfLnBfScOKof6UpzIz07uK+3TV5HyYvv8+fP17bffWqMoEOm68To65dmck66U1BRA4t9icHrVvkZP+B3u5guyW2kSXofNYXe+0H7yV7KDMCT/JFryRbKTxhJ9o9ngSvFM8Uk+pJhRfJ6xz41veJNfmo1buxyfs9PhdTHY+Hzbkh5Hp+dEs9HXzjd4k+xkE9m4xZL4VVbTlXJhQ6f2p6Zy9Nj0NHwbXuJzvJu4OdnE6+x8tn16ifsrtub0logkK/EnJ7b+liiJljC5JKEAO5mEpcm5Yzfpb/aovoSf6BN2h6/Z+DX8tLGh2aHjlCuq9xkfb48Nv8PgfNBw0/XWVuWh67t+SedkV8OzlefkEOYUg0RLskmuo3N40zHxUWwbLdmefOJkN/81mc2/iY5sU1wbecnGhLvpoj6Hg+ST/nTecmOLd4P12fbpq0j5yo0ckhLM0Se524/ykwzS5fq3OEjeJgkSv8PRMDa+lKhks8O8iZ1rKV7N5073xkaHz11vfEP4yE6V13xAuBJmoiE9ZB/JTD6mWGxxpWOLYcqJjdyNb5INhKthpNg4PtJHcpMc4ks2O79ubCE8TjcdE6ako8Vhg2/jA8frWpKTzt110kl+dfRJB2FJfElvwrXF3Xy8aR/mO1GbhGoOS7R0nWSSbD0neSoj6WkYVZ/T78aa/o0vNnobD9EQf7pusW70ypcwpL4Ub9Kr/O58K9/JcvqdTBon+5K/tv5vcrZ+uWOz9lNfwub4UjwJT+NrNm5tILlOR8O+lUEYk32JTv2VYnInF5xckkG+/Bp+obEWP4e12U+yyfbm64aZ4k1x2Pit+UXlbWJOOm+3n/sv8/R/513w7X7Xf5Vv7bsxx+/0kcyNjkabxh1GZ2vD7PzWfJo+yRby/Ub+1m93fN5iTn5NMlrstznUYkNySNc2Jynvm9w7/CnHNrlF/tvm2DM0d3KTfLqhb3pbrlBObGzd5BDVwTZnNrnZYplydhtXotvU1Ct11XBQHRHdJi4p5zayN3Y0bBtcKTap5p/JzTSXBLqX/jrvZ19AzZ842AaLJolWsMmhbQK4kxhU+AljsqnJebZQyZ6EZ5vwd4q9FUmyZ1tEjY/i5+RQDiaf37U7Yd/4uem4G79nammT2xQ3imHL1Y3vUhxbPtzx8yY/U86k/KJcuuPDpqvVRIrvnbyj2tkcW14ln9+1deO3pCPFLtV5itu25p6RTfW+iUe6vlODr+TXNsbXr+UnDh5lC07757U2x9tkP8y2ocokHcTjdLljwrblo7E7/tLxJJ/4qSkespHwOWyb3Eh6NvalXHH2uI/jcXoThqZ7O+awKU/CtuVPviB9DvOWhmxTncku5yeSQdjcedPtsDdZ21hRf9OV/Jsa+X8j747diS7hdPi2Hyej4U++UFwqI/Ft/Zn6HZaEf2N7wrO1U2U6PoeB8JMtX6t9mF8s1z4KBjmu9W35Tv8c3zo/4aWE2YwnTJS8G2zOD3d8e8e/5EviUyx39N3ho/iSLGeXYt1gSX5JspM8+hCfs4f0JT802Q23k+nkJb3JJ44m2Zfs3MbJNZKXeJv9SQb53F0Txs3Y1g53TvITXZLXsDgdKWeeibGTtfG9k0++VtwNI+VK8tEG3x265o+WX8mvZF+SN65f+sXyD7ETdVpy3Bx3Seic2WhIVqJx8ikh3XX6kP4NpmQ7+dGdN5uJ9hmcW2ztmPQm7HdxtVhpf7PJ4Uj2O4xNfuInfM1XG/4NZqJ14863jo8a+TvhI0wkt+kjHrJP6alv40OSleJEmMiPep50bGJKuhOWSZPsnLxOvpORbNn0Nd2k38UzxUDlbXXdtYHsIF0NQ4oX2ev8QzjIzlfbh1lEtaRwznE8yVGNbqOHApqS1eFISen6Gj+dqyzyQ/K9syHZRvgVO9E0bI52g/eOjcn/G5sb1ju4tn5q/IpHY0E2OTuSD0hmGifcjWaDlTCSHY5+HqmP8Cs2onE6Nj53vKrTxTfpJTsTX8KZbGk6HCbKB4p/0rXVcwefyrhjg5ObbGrYto1kktxGtz2SfpKp5wk36SXaZ9qHep3nnDOv3bn2UT+dK4/TTy0lMsmhwG/pkw8aRkoe54skP8XJ0WxkO/uSrzb6mzzCmnQ5veQXktV4dIyuk65mw1YuxSZhICx3/UWxSnK2cp2NTb8ek20JL+Fpsjc6kg+cDpLXsDt8ZIvTn+xq8XB4Un+LT8PgZG38Tf7Zxqb5LelNdiTdZFeTp/gSBupzegk7tZYrMPbS67wPs4hKyUmOoeskQ1sau0O7CXCSoQnYbHBJSfSbxG6+SvaRXNLfdGgf4Sc+8mGyifzv8G7saDan8cRPOMlGwvmK/8kXekz2JD80HQmvyk12JRkb/Js8SLKT7S0WG1uajg1WwuD4kr/ItuYLwke6UoyIP+nY2JR8obyOz+nSvkbf8mWL3clsfk36qY/kpZZsSPFfxP7X8Z2olvzJea7PObx9nMwmg/CobSR3i3FjL+kiWxLmNtZwNDqiT3qb7K2N5NdNDpAswkV6ks8TppYTG91qg6Mn+VucpG/r1yY/2bLVTXQkI/nG8SX7Wg64cSeT9KX4k5xkU9LjbFMbCBfxb3yzicOGt2F1djk9ic/Jdzx345L4Kd4Jm8omecSb5CQZek7XDXOT03ifaR9iEfX58+fruvLEMc8TzezT85RQlAgpUVLyOX0N953kcnJaf7Kd/JBsJdvIzxSjhMPhcm0TR+Jx+Cjek5Y+jkb1bPy6sedOPAl78keT3643PiC/KG5nuzs6ezfY2hjRkE6KYfJzk+100XGD09HeweriojpSLJMNhFGx3O1z+BKGZFuzIWHatObrjX+cLckf7qh8Tq/TmfxAuBuWFK/mp6T76fZz/9Dm+cXyK/xg1gU/BuY+jv6x+JEvJ0f5CZfSJPl67vQ4e5Itia9hTPKcvcmWO35N8UjxI58k/xJfinnLyeSfO7jvxDtd3/HnZvzZuki5sMllwpeOm5xMOU/2pHpNNlGtJX3b+tvW9gbHBs+d/GmfFINtraX8TPju1HzzB/l0WzsJU4rb1n80vq2VZA/pcjI2Pmp1meptc05YBNdLP7b5Ib4T9c0337zT/8877QErykdY+bZxHbtLT5gcZsfn7NzKaRiTfOfnLU/DopiTHYTH6dR+J7vpJLktnqSfZLoxakk/+XzbUryUzl0nPxPGRH8Hu5Mz5RH2pjv5eGOH6nS4kt9dzjhZd+U4m4mP7HiWLx2ptZgQLifH4SXeu3Giaz1P9jmszYYt1uQTJ3tDs7Ux8RAe1Zdk0XjDvJEp57+OL5ZfFxduSzptFNAmS+lba0GmpHU8zWaH19EmeUTb5BH+1Jd87bC6fuVJ/qU+p+cZO1MsW8wIe5Lj4tH03PFJwuR8TLGko7MpYdj4z52rbhcrZ0/TsZHtaNLRYWgyU1+6Jr+68+azJLPZmmxs9O5D+FJOqEylIz8l22nM8W/saHSkK9mUeJyfmo+VJ+lK8pts4nc4HV+TYdpLi6if/VXe+d95j7J1eoVtw8tv0d3eWiQ5jjfxKHaHm2zd0N3BT7LauGJK/iZbCesmLs6Hzq7Wt42x47+bb00mySMbyPYtJmcH9Tn/NJ1be7a50HiaL8mGlOPbXGy5srFnayvV4aYWWg1v6z/JS7m0jXHLn03M7uDZ4CU/beanbT6Tf7f1vonRs77fyE25t8nn1pdwbGPYasXg/+X/A+JtsmyCsEmcpG+r/26wG12yc4s3TTjND63QyD/biYx422SzKaAWtzsTT/NR8/vGF1ufU98dn7eJpY2l2GxwJ3mbmkxH1bOpF4rnXewup1pub/G0mm31QfK3eFNtbnM31cUmls1fdN78nXI40be6a3ZQHSUcm/GWG5sYt7FNnFrNpJiRjIaJcnODXc5fWkR9uj5A+/z58/Xtt99ej+WW7Dx/mK3EjRzXiM/JcTKSbsdPn42shEN1Kb3zm6NpfGSLs3XTR9hJh/PB9nqDYePbDX7H3+JLOojH2ZTkOyzkX8KW5Lhxsqvxk20Uv40NKpuuNzQbGW4s+SrZ8KwdjifpbbGiMeJNMhwGlxMbvYSXaMifCWvjbXicrmR34iM7W5/T3TA3ncrn+hrNxk7tb35rPnmp/dy7UGcn6lFWxa7P0V9mhaqfy6xOFQPJaPqTriSjYSd/NPucDPJVOk/jLUZ0fcfHTVezJfl682k6Un7dtaXFO+lvMXslb1PNNPpNPj9TV8SfxlMsW3wpppu4N4yUA8/kW8r1jf06TjLdNeUB8ba8acfmj+TXVhub2kzXW7mENfmu5UCK6zbnNzlxp242froTd+rb5Ns4/3W8zkuTT0uE5sTNBLApupRYWx0psZqcJGs7ARGdK0hKVIpT81Xz96Z40ycV9nZS2fixFfOdfN3iS/KSDS1HWkw32O/K2UyMG/tSLaRaSjFJ+ZnyvdEm/E3+K3VE80jio5i1/NnybueoJGubgxs/kX82dUpx3NRji/l2nnB8TW6rka0fSVfLyyTvTny2MSFbvly/tIj6kD+2+VhuJbpxPXeyWp/y0rg7dzidLckOlevsJNudfUmvo9X+dEy+u2NXsjXlAsVyY8MWN/l143uHYYuf6LY2bHDd7XNxcnzbcaUlu1usGrZmzzPxIHl3bHUxalia7Xfwk01Jp6NzurZ4mk3NVrpu8acYOB0bu1PsN7gc3V2704f0NJlkq2vJf8mWdp7Gn4mVnr/SPsQi6rSWXEqnNG78/+fubV5tC7usvmclFxUF4wco51YZTEGRZoIIUthRA0FFbBlQbEgaqUs+WmnE0tZGEGyqCH78ASYaQSyqoRZl0k14RTGNWNRLIrHwQjASSbAlbht1zlur5jvGb4xn7fPW3fc+sNlrPc+cY44x5lyHfc8991w3vM1QTUxXT+G0A5/u077S4nwgriqX3h2Wy0nXE0/5onQ5ramvTrvzqeVOPSGvKCZpbLGdLsKbuqgG1SV8xZ/0KU6kR/Hd4aPquf44HsSh4T3r0NnufVu/4b/D2/mVrt1Z8qPh2mqfMTQLytN2RhyGinHaneaU43gTN4WhVhNDeQqniUt5V9ZT/J6ojx8/3j99+rTW2mu8asTOYKkG0n0aCMelwWjwHG/ywcW5mq5Wwk4Yjouro2qpfqmlMFyu8k6dE+6Mm/G013jlYt3a4beTn2aAtE18monEv+kD8diJVXySdldv7lE89U1xUfvqfOKnfYVD96onV3k732eeq5v8bfSq2WjfJ+aO/llTYdGey3f1HD96J76qHypG1Va6FN/kM3kxML7+X7b59hvL31ZqKjUmXVOjZvz5vsGfixp+JcZpUDGOa6vDDe0ux+RV6o+K3cFVXHb4tdwdf1fDxRFfx0vFuXmY96S5zU266V1pozmgfcVr4rl6LpfqU8+UjsaTVFNhKwzFhTiRXnXt9BAPx4mw1P3kTT5TjtNyrpn0TdykJ2lz965Gwkgz4TCotvNdLfKbrp13igud0d4J96EPUU/z13mpoSp+vrshUSZSbcKa9R0vFbM7EI6f0zFxVe1dXNeXxg/ac7muN00f1XI8Xc9dTdKeart+7OAnD0iXi53Xs56LUVwVtxnfcGl4tvV361BfKcbVbXq4o8fVI1703uQpbSnPYbecyRvSMZfzT+UmjY4HxTq9STPVcxrVK8U5H1S+0079chqdH05f60GqnzheXU/xnai3//ZlLd8kZTgZ0w64i09cqO7EpNoJO3HZ4d4s5y9x2MFOmho9Koa8dfvOb9Kt9kmD65fyJfFstKl7t4iz0t3od9wTh4lJWp0fCtvh7sxAmokdjYTj8mgOFBeHobgkHdRT5anKI62Jc+vXrsfU48RnxxPFg3inGqQvcafa51zFaZ67GirP8dzth/OhyXO8X9+//u9Enf91nnqfqxlQagLt0WCpWjSk87xpfsJzOq4sN+g7fSAMwp77LT9Xp/VX7SdMmhs1Pw4v6aI4NyuuhuKqlsshPSqOOFLPWw2UM+MbrYqz4pGu3Ww4LMWRet7kEgel1/WDekE+NzwVD4WtsEgn4c480ujwqD5pTniK847upKWNUxod3xlDcUpHineY5I/iRf1W1w+vL/07ou73X/i/8xb8Hge1N+Nv43dVKAyKnbgr/26J6ndYqHyFQ7iKS8p1ulyc06P0kYdOp6tDvF1fkv/U+9RryqO4dm6UL25uklfNPKbZaecrcWh0J5z0vLXa0zOR/KfntJ3VdE0z0349uFK38ZT64nS4e3pe0vnus+T6mubGcXXayf+d5+9qHcJxM7mDQXPR+J967ua58ZVyqQ/0rK9frt8TdRzHv3scxz84juOnXu//g+M4/pfjOH7uOI6/dhzHr3jd/5Wv9999Pf+tDf4NPoXPmHmt7iemO591VayLSfeOn4pX7wrLxcw9VddxmZycXy63zafzpheqRutrm0O+TM1uUW92++76n7AIJ/V4YqvaLsadu54SXsKn5Xxr67vZoXrqmvDdbDU8Wm2qpuKY5oZyiZ/qZ+LUeN2eO79IH3F1mtx54t14dd5TuY2fM2++q3qOh+Ozo8FpbpbLSfVcPx9eG79V/L9da/3VtdZPvd7/9bXWH369/ktrrf/y9fq/Wmv9pdfrP7zW+mvNd6Ju4k8EN/j06K4XfKKdOWt8sqVaE3PWcdiuntI68RxGqq/0q7yESfUb/0l321t67finYtPMUW8pNsW5mdz1Nc0ZzW96FhrfU766d3ttv50Wqkcz2DwHVPNqrOsj5Tqf6GtE26s0k4RJPJpnLcURnptNwkx9aee6mbf0TFydE+I4+9g8/+nrRqOhna0dXcnbZoaK2fnB/7cva60fXmv9zFrr96y1fmqtday1/vla68Pr+Y+ttf7O6/XfWWv92Ov1h9e4o/lvXzaF22Yk89v9piYNCD3YiX8zbBRDPJO/ycf2iwR98SG/mwemmQPH02lt6zUzSf260gPFP+G1s9L0dGcmaP6VhzvPajNzOx7Sc9zMQ8ureT52PGqeL+La4Ke5bvbSc0zek6fNjKRnnOqknqT+JS7NefOc7ParqdnU36nlcJrnMM2wyqM6BvuX5a/z/uxa679ba/2b1/vfuNb6f+/3+79+vf/5tdYPvV7/0Frrn6611uv5v3yN/yXrOI4fP47jO8dxfGct/rbzvH9bt/HtuHl/3ld48zVxUszcc/UcrjpX+6RX+dP6lTgTZtKe9DttCrfh4Tg3HEiLuk4rzYTaV542emdNp6vpLfXAYTZ+0/5O/jxLse1ynlKs45Owk+6kR+WTDupF6vmcjcZrxSvxmzkupvXacU91VK3kF3FqvE5c3HXqa/Jl1p41lAbFxXE67xH+jEs9a3i6HHVP/WtX/BB1HMcfWGv93/f7/e+ft0XovTj7xY37/a/c7/ff/vZPC2nQ3u5nnDPCNY1MIzNV7ZlDg61iSYvj6fAbXuSJ4pR4Un6Dp7g5vao28Wg0qne36Nz1IflE/Jo4qqHu275SP9xS2PMsxZCGNCPOq13/U5zCbvSpPfJ+YjuOCktpUFwnftLScGv0u76oM1UnnV/xw/FUHEmT8q/hqri0/W5xXLziRb12PhAnim+5Ky+c78SdfL66PhQxv3Ot9QeP4/j9a61ftdb6tesXvjP1647j+PD63aYfXmv9s9f4n19r/Za11s8fx/FhrfXvrbX+RUMmGdEMAJ2rGGqUGx7H09UgDQ2/dJ3OCFfFOW0UP/XO1Z41Xrr6dL4TR9xcv1Jdh+NmZaem4qD6vbOSFy1Px2PXw3Q+azXcnTeu5sSnnjV7Dp84ubpOb+u78i7lNn5Qb0ij0vxITxzvdJ48crUb7aRJ7Tv+yYO0R7x3+0b+t36oOqSZfCGfHc/dFb8Tdb/f/8T9fv/h+/3+W9cv/KD437vf7390rfU/rbX+0GvYH1tr/a3X6598vV+v53/vfu9/o2dj3Nt1up9nqqkuxp2lpik+VJdqt/rceRoc4psG0sUrbkoLcaF94pFqk0aaBVd/Yrv6igvxS75SnOLhPHOcXe8TXuOD00C1Z12H72Lducrf8cjFEm7i1vTP5TmOioOLafi6+KQjYTvfqdfUr+Sp2mtqU13Hk65VLXd/VZfSR+eU43g2Whsu1FvSmjxs6l9aWz+FvtbvWr/4r/N+ZK31v661vrvW+h/XWr/ydf9Xvd5/9/X8Rwpc/KHMm/lhsWV+YGzuz5yZq2q4d6rpeKWaSiflOy8cT+KtfFa5aV9p3tGXzhxf1x+aEcc1cWlrO0x1nfxr5plmPM2j0ktztvOc0Tw0fuzMTPIi9ZD6Slqb2u0ZzSDhqHP37O08N5TnPHO+JfxmrndqN/XTXKa+pTlPs9TOZdM7mmeX656ttk/N14bUT6rZzkDjhavzev/QD5Y/xX/78vYfEN/Mp8Z5P/ff9m7mkyphqVx1P2MJS8UlbqpeG6/0zZpOmztTOsif1Ltdjupd1WrOGp/me/KHdKj9xJs4Ka/VvuNBsTt1E767J73UI9J6pY+Os+JOHhLmxEu5jofionxW9dMZ1VCcGo4Kt6lP9RrPHHbyTJ2rmuQD+ea4NT1NHrhepDOnn85c71ve5IG7bjS0XB3GwPr6/9uXtw9QTWPnfopvBk7t04AQD4pzQ7gbq/BdfRrWK7XUveOg6qvzndhGs4slDdRbh6V4q7Ndjq43Lm7G7vRX7dM9aXacqY+NJ+68wU2cG06KD3lMuijOcVb7TidhuPpJo/OGPHI+NHySJ6qG40M9aPyks52+ET/lb9PLed/m7fAgv1Rdd+bqESfnidM9a6v7xOvK+vAuKO+00hC4mAbvjDGvE4+5r+4dXuKa9oh78sLxbYbanTdcUm3H1cW5Gsofx1HxoveUv+N1w8354VbbD9pX54oT+UF7SkfirPLbHivuCov6Qr2gHiU8V7fxzK2m1y6OdJImh9NqU/gOu+X+SE+V7rRHmpWOtp9U/2oPJ5+mLyl/8nHv1Fe3TxxpLki3y3mv9RTfiVrLf2F0ZinzKCY1asa6h4Ca64Za4bgYqkc4pHVX4w6e0tj4RvVSvPJZnak5UNpc7bTvFvnhzia+ip/4yV/Hs8mbGC1W27er2sh71yuKU7HqnLSlniaPE3fqAXFN/Zr35O3EVvcT0/Ww4bpbK+1NXgrP8U79UC/SqvYVd+KYNDUzobQpbMUlvbvaCYfqK9x5rc4nBvXpyvrwLigPrpeXl/Xp0ydpWhqG1BgXq7DPy5nsGtfUagYuaaJ6Kjd51mhza0cb6dqJVfWclsYLp4tqujqNfsct5VCe4056Wg0qT9Wn/BmnVluL+t1qpn65HqlapI9ylEaF2+iYMe6eVoOb+p+0pVxVr9HkcKheM0PEJeHO89Q/Fd9gJz6zzo6/jqN7d7xVvOPc9MRpSroVz/daT/GD5cdx3NfqH041mM3wKSxVp9l3HFo8Gqg0bAnPDXXCb/IVjstV+I3u5HfaU9eK/04tp83pUB4Qh+Sb0ka9oZhdDIc7sVSNRp87V7pd/UZ7w9/VTvoUj0d8UjhNHfLAcU6eUf8avSlfXSsuCdNdqzO1XK7DUFpdjtOqas+YxCdhq3jnZ4OjMJ2WxkfHwdVQfVDcm/68rod+sPypPkS9LWfw+dwNgXoRZlNLXTsMGoSJT4NB9ZTmFEc8FF7C3OHpluM1+aSa1APFzdVx/VS5Kd7xcTwSd4XhtNO54jZrEVa7mn44Hsr3dp+8IH5KI2Hscld8yXt1nXgpXMXJcXX1Xe/Iu4anqtn4Sj1Reeq84dX2yHFwPBQO9Yn4OP9Tzxyu49RooH3invrhvKQ+q1jHcz34Iery70Z4z9fLy4v9HQ8387snbvA7JlSsw545Ll69CNtxoViKV9yUH4q3w1E5rV8pjnpGvAlrV6Pzsekf6W70J467M5v8S7O581w0PNpnJuHTNXnuZk150vbi6nynPl2d5Wb+dp/f9qzpr+NDvJu85qzVSr7u9DnNZVszzVDzvLhZa/rR1G1xm17tzEM7y87n5DvgP/R7oj6sJ1m34lO0uiaM+Trvzzw6V5iTp+LsYtqaTR3HleLJm5SXajvsGe967Djt5KVeq2uFTbVSDmlSZynXcaf+7J6rmpOPwnK+73jlPG54kDbiQNxpNZravjY92+lbo9Plkl/KA/La9U15kXSknioNM3envw6TNDkvnYbzu9pPdUkT9VBhJz8S94ThekU6VO9cfbWfclvt1frS34V6+43l7nUrPnFSDGGq/TU+/aqcWU/lEQ+6n9dOU1M35Thu7qzh63CI96zltLUvhe/OG09oPmjmnAeJU9tr8r+dY3omGu7ts7ej33nRzEvDq3nOne4rz/qj85VmnbxI80TPRPq6kZ5jmpf0nCbfqE7zHFD9NLsUQ/OjYptnwWHSNc1M40nqF80EzUjqZ5qJ1F/yG+p/W7+x/Bb+9Ha+n/suZuK4PYWVXgojYZOutD+5pZyGo4ojHSpn8ko+uF4rX1UuYas66kzpUrXJL/Xe9pR4qRjXSzpPvBU31x/Knfutflcv9U3VdzoUpuOe+ur4KWznjcN1esgjiklYdK1y3ZmLmZxc/xQ/V38Hh/Za/xQPh6diXN+u9FLVUX1x/VT4CbPRvsurwZj75IvyTuGC9m/3N5a7YUhDUphmG0b15nnbNIpx/BKO0k77DR/1SroIu+WR+uk4K+5XOCnNrsc7PaE5cmdUN/W8ec3ajrPzi3xq/Go00L3La7SQZ/NM4SeuM5+8J/8cX5evztXZvHZ5Tjvxcot0Eqembzu1lBeESzyp1yrO9cjxUjxa/W0NlZvOVJ8Ud8JudDdeOL8bXPLwynqKD1EvLy9y34m/GptMbLHVfmokcaDmE2/Sc4Wv4q/OnT9Op8pL/jc6KSZxSZrdddMnp7HNoXMVS7Ucb+cleTT3d3qcztx50kQakkezXsO9rUF7TY/bfrkc96L4pKXR1dZo8pTHzjUeYqgAACAASURBVEfnIemfehNPF99wdtwpNvEhvBnf9pH2nY/JH/LIYTQ586ztr4u9vL70z0PNf513C3/feYO/K13i7ztdToNHuApj5s5rhzcx1bnzJb27WqqmelGew3DcnQ+pZsOX4p33xDfVV5oaDk4vzWCqpfpDPBx+el5UfOLtuO3MJD13braST+RFOwvEt91r65AHyZM0p+2MN18T0lw735tZbJ+vndmimWq9abHSs998HUjPfep76h/tOTzSQ1rIlx0fmp6E/n/9PxOlfk/UrfjT2c7ZzXyKdrFu7/w+Y+f1jKU4VzetVhPtKQ6Jv3qdcZMex5m8cBwbPxXH5AVxJR7EgWqqXMebPFCr6WHiNvHcO/FRepJehefqXNHT3NOLNDpM4tZ46jTOfOeDwqG+Kc7J+/a81UtYxMudq3jX36Y3jZcNB8rZ6Q/xnHrnfeLv6joPCI963XJzNYnr6f3r/z1RCz5Br/BpUsWt9f2fhOc1vauaKl/VuolPzypGcSMMwnU8iQN5R3Udb1ebfHcek2/Ej/Cof4k7ebHbB+LQ1lV5NKNp9mhWmn41PdzR1sxwo1txJu8Iv/WIno2mVvNMUF93dFNuekaa+aD79plSNZtepZ61z7LjnuawmaXUK/e8JJ/IB5o50vKIT7sz1z6LzWylfry+vo3fE7UWfyo+76m8mT9zXZ6Ko5qqlstrdCl+E4NqOj1trvNO1VD6nGbHiTgnzx3PnfPEz2lKGPOdvLriL/VL8UgzoHx3vVBcXE8pv+GdaqW8BlPFuJ5QLPWz8Vf11L03GsnXxMFpTxxUnsMlv6kHDpuuKb7xa767vcSZPHNcyWuqSTrI76TX5accdd70WPF03lIPnZdpDrbXl/4u1NvPRN3gTzg38el33qt9hTNfCoteM1fdO84K3+E08fSeuKc6zseZ19R1Gppz1yvqScJy+tKsNHVabxsvacbaOXO8mtlMz1c7V45X6gXNDPWF6qXnrenjlWcv9a31P82C88PhtLO387wkT3afp+Rj0tb2I2loeDd9aJ4X93w0zyDNbDPnybMGm2Z9Z452+v3AM/vQd6K++Aeo81/nuQHfGaLdpiasFE+NSg9x0dyaG2l2Q6n8TB4Tfqu74UZ86ItXs5f8TXhujhqfnb9XZrn5gpX0X9HYXu88dzvPUfJEcaB+qZlLvFwOaaW6FOt8afQ2/XfxTb/SPLdfM4gn9e2R57CZzavz2/SgfeaoH01/qCdpPp0e6m/b/zSLqafJC/e8iZ582z9YfoNv+d3gW3c38W28hNMsilVcJ69dXKVpepPOiaOLUWcUn97TteJHGkgj7c8z8tNpmbmkKfmtMBQvwpkYjhd54eIJK/nksJMO58Gspa6dZzN2rh2/Ul8STtKSepVwiEujy+GnXPUiPo77eY961vBvsHd8bHU436n3Dl/duxynj87SO+lNnN1q8pp67oywBLeHfrD8w9XE91wvLy/r06dPay3d+LdFJp5jZr4z/fzeLJXveFH9xKPhTfwcB1fz6jC2HFx9x6fl63AUp11vZp67T/UIl3wgjq6Gy6WV4hLHGTPrq3iVQzUTT+qv61/be+oJ8W9eCkPxcZ47fYThtKR7pXPikR8qPukjDIpx9VKO05diW48Tf7enYih31k49TD5SPYdNuW7+SEOjy/V5p8dX1od3R7yw6L98UQak4UhNT1htnqtLzZ45jV6n3+Uq7GYY0z7xajW4nNYP553yw2G5fHfuek/1KcbpchqSnoaf0pi8oj61NV1twkn5pC9pU7WovvMkYV7hrPQ2/uz2YubSWZoROnMaHLY6U7lNvOJw5khcHHfyt+2740GYDWfCT31QuhVu4qj0qzopb8aqfLWUT2qfPLiynvKv89bKD9mMa4Zz7lMONdJhK9wGk4bTxbn6arVeun3llYs7xztf3cOjcKiGy00PSeqv2iOvE1Y7i8kztT81UdwjuQ7LrdTftj9NHvmocInXjG/OUrzi9Gj/3LvyIHmZ+kSxbg4c/4TTcla1KM9xbvbo3nlOHjj+jf+ufsJS9dwZnTtebk/xIh7JW/JR4SqPxNm3+Xui6H7uL/PDZjfxQ20KZ9ZQ9Zua6lrVItyWl+JxxlQcUj6du54of1MvKK/llHpNPWx7keomjORTqtvMSOq368vOPJEumld6ztLzmfr6iJamN4lfy9fNCOUlv9tn6opf7eymGWmfH9Wrudfs0xwmD11fm2eieX4pt+0/zVLz/O1wclza3tDM0/PTvlNv0pwaTd/G74m6lZ/U395V3My5jU+ulOPOJo7i4bBn/YRJuITlMFVM0u3qqHNXgzAdJ8e/6eMVLJWj8F38rN1gqXy372ZBaZhcnVYXo65VvItzHjjPXI7DnLXprK3hZmHHj6YnDou8U6vpudPeYCpepI3iFLfkZ6OryUuxjoeqmfqZ/FA10iKfXPysu9Mzl5s0U4yq5a6bmWj4Eac29up6iv+AeC0/DOc9ik3YNBzndxc/c9V5M4gzNw2eu0/cVe3kaeNlizdjqQ75Qv7s6KRcqjlxSWtbs8Em/er6Sg7xd/woXvm6m6e4N5rac/KgiXV9chod/538qU/pVTg0D+7d1UzeNbwazqR3vjttE0fdk58pn7xOexOz9afxnnS5GVAvh6Nqt/pU7eQB4T/Ch2KvrA/vgvKOywkjM5shPGO44dnBaYeAtDg+FEMYzZniq/gRH+dN8tXlOyyKoZ4lbIWvYqYnKpfe3Wp8anITv5RD+Gcc563zW8Xs9qfh33iYdLs5cPppDua+w6Az56GLTfjEu63jtFE+5VBc6lXjoeLUcHT5UwPhqXvFU90n7xx2U1fVJg+cdtLi9Lh8VZv6SRwdvuLheF1eX/rnoe73X/yN5Tf4e1S6d/HL/H3oPFN5uzjz3dUi7FnD3Tvdqv655rx22C6X/KJYip/nbY9Vzm6fk0dX41z/XB7FJ4/aeUj8d3q9442bY3ou1PykZ6qd2fQcktbEj2LamW7xCPfKs0Q+tV8TGnx6JhNWM9cNTno+Kb+dmya+8biZxTSnaY4a3MafNEPuuW3miHg7jemZOr2+/p+J+vz58/eub+FPD7fxKVTtn9/ntTtTeKr+5OlwCNNxUnEKR+XPRX443ORLw2NHR3OecB2G8iL5MZfTTTXcWYtF+Yo3YbYcW87tojo7nBv+SgfxJfxZg2qpWNLY4FLPXD3HudXi3hM+9cDhEQ755vjvcmgwJ4bzxHFtct3exHErxTTn87r1hfKJi8KlPMJ3fqc5cf16dD3tz0Sd93eGYt6rfBr4dogJu+FCdRw3h6vym+FNMYqPG1wVl87IO4eV9CjehJ90ptxdrxusWZfmxNV33CamwiA9pE3pSzqcXuKdPKP9WVf5QDwcB9Kyq1dhO/4O02lVNRReE3OOdRwbLmnf7TX1kkanq8lzWMRhYrrc3bm5gt34786a/hEvV8vFOt5OJ+2lfm+vL/1XeW+/4uAWvj23xrfqXMwtfDtQxav3iaWwXQ7xInzHzWl35ymX/EucSe+j16SnnQXy03nYzNTEpBqp3zRTrl9NLep1y4Nm7OqzkXrUYDXPK80uebJTLz0X5Lni53pNfdh5DmiGm3ls+DbPaaNp55l1OelZbeaneQaSR+l5cbx3nlPSmPBo9tKz2XhL89jOAD1XzXxTv8b+Q3+d9zTfiVqLP1HexCfTee/iJqbCn3GO28xRcSqH7hsPXI0rK/mxU4f0KM9aP1ofWi/cbKgYF+vqp362OJRDNVNe8q/1ZeZQf2gOHEfiTrHkn3oRvsK8wj1pJq8dRvJX6aLaxIfwiZPbo9V6dAVb4bcz4HLbmol344u6V3ntnuOQPHI59J7y3V7iMGs0Pp3rtD1s11N8iHp5ecEhfntXw9w0jJrcDJNrvOOndDR4hEFDRQOhuKqaacicTwpbcU98GozUI6pNPGde0wfqY9LmtDieCddxIX1un3o/49R90kv8mhxX363UK+Wtem/64u5TL9Sr0TD5OHzSonRN7FRjciRthNf0YWpL/Hd64nqrznd4EJ7j5PpGPXW9Tfwbba6m0kdcHGfXa/LWnTk/mz5dWU/3377sNMftve3Pd8pNQ9KsZhhoeJIGVYdySbPj6LjOfcXT4bvYlg/pcvUab1V86ovi1GglDIepeM09FUf8HMaORqpLM6JqOF7ESXmSuLsYVU/VJ26TE+Gm68kx5dAr8SL+TiNxc3nunGo2M6D2FCZxcXxdjXTmNNG94r5Tm/quchv/1T3VoX4kHQ5baXS5aiWPT3sP/bcvT/UhKhnempuanQauzZ181RA0mFNzo8fhKn/IPxXbclaxqqbaV/UUN+LexKVeKUzySuE2+pSPtMhDmgOFk7Slfrlrldf40nBx96RVcW11Oe9oj/Q1dVMPXa7jtKNFeUl5u31q+pg4nnPVXKkYx3XqdftKs8pNvN25q9fqcjkqX+2T961vSpt7V3UmnuuH4pziXX2Vc4r7+v/vvLffE7XgB/3m3oylmBk3YxXGbfzw2bxWGDPO4U8Md+3quTpzj+op/ZRLmpz3jcdOp6qr9JA/u7WSp6Qr5dHMpTlOuWk23Hvypn3Omufk6kw4vS1e0880PzRvLob4Nt48Mtv0PKdnrX1GaHZp3nbzyes07w1mmlua3dTHXX3tXDbY9Dy4+SDt1IuE2/Sdepr4N8+e69Pr9UM/WP7FP0DNf51HA93GpC8OTSOoZvMFohkmeuAbfHoIkz/0QDjfmvo7D2TysXmQ6AtN+sLRYKc5Sv1PHNIXgZ16SVfqy5Va7VzQM5V6tjt7Tc93dKXeOI3p2Xf56flrZ8DNV/s1o/XxyteXXV1p5nb4Je7Jd/IraaF+0Ezt+NH22nlF80w8Um92nrE0H453o1Xw/nb+dd5a/bcFz/E3/S26X/Kurqm+inX3xHnWdbGKozvbxZ765r6LdzUdP/JHYVN+g6niXL2GT1rUo4mj3nf8aeqrc1XL3c88qufOHYaq2b47noSrcnd40VI+pn4mD3a0uTpU0+GSL0ov1aT4pq7DJJ9pz+HucGw9Is5zOb92zq/sqxh3lnSTT3M1Xrrletf0mOoTzqPrw8MI77SS4dQYZwwNF9VNtRQnVYea6XjNmskLwiSfmqFshtbxazB3uDp84jFx1H7yrdXq+LkZcPgz1u01WhSf9L47IwpH1acaCm+3/w0Px83lp/40/igs4tn40WKkfNfrVGdiNTmqxiMzkTipeFrUU3Xt6iZ8h3Peb7Q4rxqPnFbH2WEr7gmHZsPVTTVoXqj+znzQ+vAwwjusl5eX9fnzZzQjDbBqkMtRZzQoxCcNt+LqOFEeDaCqmzg2nGd94u04EF7rJWlwGMS52Se/E/fk+06+qn/GU/eElZbzh+JTzTQnqj5huH4r/jv9dti0FEaLSRzcO+2pffUibBd/xidfVA3lDdVWOann6t3xSbxcjOuv0kIalJamFuU6b1Ru8oRWk0+1yBt1PTFbrsoHF/foepp/ndeY6O5d0xSGG051rbB3ODTxVIvwHS7VSz5QHfLWeeiwnSbiqPg5vS7X8Zu5LifpcLGJZ9tndZ6wlBaFp64TV8Ijnm65WJdPfbhSQ+GQrwpXne94lDxQ5+nacUk11Gr8TbGP1HO9IJ8aX3dquXoUo3BdrwibNDl8tRrN7t1htfWdV06L4tXoo7hR++v/13nL/CCZes1zFX+DH1yb5+mMahL+jKc6qZbzwPnkarsYhZl4PMIx7bueupzduWlySH/b63Zv1/u2XzTTzRy1s6Z4qH3i1uDSHLYarjwzaRapD27e2q8D7TPY9jPNd9uzRzyiejRLrp80b42enXlKs02z1TwjiS/N15XnKOkkHmneU/004+k5ap7Dxpv1rf3rvOahJ3PTF6C2Se3Dc2WAGo1pcGhA0kPqHvLmvhlgGmqlKX2RIC/SjNAMtPWo/2m+XK2mD8nHlmuaqeZsd/aTn00/aL5c713/6ZneeX5IWzpv+rXzXKT+Xu0bPbP0TKaeJtxmrlNv09eYVJ96T36k58XFpr40/U89b/Bp1pwv7Twmvjt+uhnd9WfsfRsfolIz0hepNCg0ODuDtsO1Gcr0wDhODTf3hckNGQ1c82BfeXgcrhn2Ko78ah+wRx9W98XJcbriOc1y8p28cJp35tDNL81B8oxmgJ7vxifqo3sOCZ+eS3r+U630TCc96TkhHs1z0vChOjTbzq80j4TtZqnVl+b+kXlOz5PyI/V5x+fkd/Ki7QvNePucp/zQr2/jVxzcyp8bOJ8pDBWn9lOe2qfahDPzFKbywvF0mE2dlJ80zkVxSa/Tmc6odqO38aiZGcWV+kr46WzWmfXUdTMf6qzhqPJbn5wnk0PS6rB3+RHnWY88IwyFpc5Ig6qfclOvJy/CTlob31MPyWt1nWJdHxwvlZtqqjOnx50RdoOT9CmNhN34pnhS/YZb0tZ4P/vWarq6nuZD1NtS5rjrdEYNpgamwWqa7Hik+mklHo5vOm9qklan5UqPiKvKbbg5L5RWhUN6SCPFqhqNToqj/iocp1nxTvWVLoVBeDv47ixpV7G7fdnhQGuHD3Fqcwmv4Tbz3H6KpVlQeWk94r/iQnFt/wk/eeQ8czXUftKw26ek2XFyeogfYblrV3NXw/b60n+VN/8677b3bTi8dxg38e1Eh0d12xpUV+nbOZ/4SZvirPQSn6TZ4TYeOQ5t/1xeMytufhS3qTNppZh2fqk/zUvVpz44je280QwSh9YD59+V52THJ3pGyTfqb9KdnrGkp51dh9nMXHom0ww385N8UdhuRnaf110Oja8tlx0v0iw6nDQ7bR7NVIqj69av5tkZ3B7667wP6wnWy8vL+vTp01pLfyJ/uz6vGXMTnyrV3sx3eGmpmMQp8VP5M5b0OtyJPbnQXtLnuLnV9kPtkz/nGKd1Z4acplTTcUi8XSzFOC2EMfU5HdTPtK/y1ZnCa2vtrjQD7sz5qmJUDvF2vlDPEgfn93ynmqm+w3Z1FZbzofVccSNOM8atRvuVeqnHShdxVefkketJ8rvpjdLluDuOSpPz0cUl7oT5yHqq3xPVNskNazPAE3tnuFIjU9MVz7loiKhe4k3DpGIVL+VRwne8XFzCp3pJi/LJ4boYFTdrUi3HxcXRmvySjnSmYidXh6H4KK2ujvPNaVU478HZ5TWYxNnVcl4nHuSZqztX8rzR4TBdDceJuCav1KLYxIm8p/1mFtQZ3bs+K1zV+0afOkt9criKQ+N9q8vVJnwXe8p56PdEPdXPRKUBbJrkcub+jCE+VD81yWETR4eleDWa3Hnrtzp3XJxGquPiUo9pnzCSF4oncVd5TR+IJ71UHccp+ej64/iTJ6Sx4USeEI7j4XLce4OleqH4UG13Rv6mOVD8Um3KVXzcbDSeOs1KL12TdoXV8FVYdDbj6KViFSeq7bhQjaaPLbc2Z/JrOCluFJt60dZLWFvrS/881P1+Xy8vL/HvlW/i71fdXoPT5q7xd6gtJ8KYrxmjXnSueCluqq7jm7xQNdxZ0pN47npH/je9pf3W+4Tp6iQNzezTzO7Mc/KC6rtarh+EQ/eN1sQhPRdudpOXxPnqM0Dc2j7RzKb8ZnZS/9KzS8+q86l5Vmkmm+c1zZ7rScM3+dfodc8UzRnNdPM1YmemCY/mMWltvl6Q1+tb/BUHt/IT7jlWvVzerEX4VMNxVTpIp8qnOoo7xbn4XV0upsFLHBr/FCbxnzWdBhfX5FAs8SU9LddUJ3F1S9VNvVH8Eu7EUecuTtVVOC02cVb8XU3i4zBdvblPenZnhPikGo434TgdrW6KTZrPMa4XOzVcXVe/0db413rUxLsaKk95mbgrTKeH+qV4uzrkocJyZ7vraX4m6u2aGtgYnM4SzjnO7StOjnujxeGpPOJNeA7DaWh9VDVIe9I8r8lfFe+0US+uaHeYLifVaHpP565Og0O6m5V8a31O/Z33bZ9crOPivCYeU2fqBfFV3BNG8ndiX9FNnk48VU+9SDvpUnFX/HMYTW6TT164OFdf5TaeptrTC6fd8XaxLiZpJx1J29RD3pzuH/qZqKf5ENUOxjnmHDvPZ8xcNFBNs+m94U8r5ewMluLdDp3Sra5VL1Ru09OE3dRztd3ZxHfnKs71ofFYaVRYxGXGuVjioDDaPee/07fbM8J3/SPfmrw2h2KUHhev/HH13Dt54+Lmvqvvzp3PinMTO7kongmr1Us1nc7kz9St9FE9de32nNamb7vYpLn1kzi7Wg1HFZPqizpf/w+Wv7y82Gak4VIxzfmVxqo9NzRXBjLVS3iE67AaHxInqpnqTZzG6/bacaG+0VI8SZ/SOnk2Zw63qaVwko6dGWlnZb47DWkeWt47/U36HV6jSfElvMTLcVCcFUf1rnSkWWh74zgQN7fXvFQNWqmXrn7yovWANDb1VZyqtdsnpWHGUk3qgcMhXu6M3h13p/fqeooPUZ8/f15r8TC+Xav3uVyD5j3h0aA2NRw+De2s54ap0dUMjPLZYbieJBzFq+FHcaRV1ZjLxbkepl7v3JP2XT7knct3HFucRiv5T72iXFcnnTmNNE8pvuHieq5qqrykqemTwiRfFD9Xt61J14knzZbiqu5J86y9O0eu3uSTuJDPhNH4dt6jeMqh3HSd3hstjuf0ifCUj+r8ynqKD1Fv34lSJpyXapbbU3ntuapPQzZjHI6qPfMSPu07D4iPw05+OSylz3FMnqR+Uc4ulvPI3bsc6u/k7npBuaRT8bgS5/iSnta/iUd5E4N67vacZ+S985yW6gn5ebXm1NBoVzVUPOU4fS43aXQxKV/Nm8pxMUqX40dxrlaj2fFLenc4pv0drxJm66HDaLmQ385PqvVe6yk+RM2VmjLP3IC7l6t1zt/BdTEK84pmNwjNECVMlbtzn/rT+uF8Vf1odCpe1DuX63g2mMnjVCtpU7VdP1JtV/NKPRWvuCh/Wq6t3463ilN13D5hONyd+uSB0+P6k3rlNLvas5byRN2nGNVr0kk1Go9cTqPd1Sa9qfcO+wq3ZjU+Om7KV8qh/MTZ1Wn23Z7TfGU9zYeoNEw7DT3vz/ud5qk6iovLo8FsG0jNJy1Jr/OKfKeBddjunvaU57Oe05HqJf9nbMJSHjjvk7eN95OL0q6wKC/xUz5QfYVNtVPNhK00tDWIZ9Ki9tW1y6MY0qFwEseESzFNzXnW8Eo8FGaDoeonbhTrtCSfEn83Ny1XxUnVI/1O09yjfiY/k39OO2ErfkpXg/Hoeop/nffx48f7+eei3t7TsLqhUXGueef3Jt7lpxzHV/Fu91ueM7/R6lbTE/J17lPvSD/ht7HJJxfj9LsYmokmX3FJvaa6rR7Soq5d3anPcaDaTrvKJ50OO52ns9SPppaKn9dzubrUT4Xp8hNPim3PG24U47S4HJolhZn8V/ocH1cz7VO+wtipPbGotsNW51RH8VL4Dpt6QrnGg6//Vxx8/Pjx/unTJyl804xqz123wzkHbKehCZ/4T4xGLw2n4p88mvVpz3nsvCINxMPFKW1Oq8pr9khHs9/wbLS6Wi7W1VCcaE6Ulyo+rYaPune92Ylz16nnVKfRSxyVr5NHinH3jq/Tpvi6fhMHhe00KI2NJ65G6n+D13jguBOm22v6MTm7+Cs8mpxZv+HgvJkYrueqp00NyH/oQ9QX/y9f3H/7ssKvpV/i17ffwq93V+cKe56r3BQ7c4if0+5qJI7OI8dTYSc+xClpcHtpBgg/zUXy4ZF67izNCvlHfdrh1OigWUg9ds9RO5/EO/FrnukdHalnpCs9u42u5P3Offu1IvWa+t3OfNPLnVlLM9M8p4n/znO288yl2Wi/ZtD80DPp5jnNdupZ87yk+XQz0/YreQW9fOi/ffmwnmjdNv7kd35XOIQ/XyqH7icvta/yZ03S0vJreZzfHa7i5+q5uKQ18XFaqXdKh6qX+pYwdrBdXKqrVurZTh2Fpe6T9onfvDsurm7rseKk+DXcJ091T95RzaRl7rmcpl7qG+E4rSov9Zp0J09JR8I5r6a3LpeW8434pD43tdSZmwWKaecncVB9ULXTLKn4Zl5SPafhat/n+vBQ9jsvenjIwPbd1XSxqpn0ACSe7rrBc9jnuHlNmO5c4TVcHD7FKtzkgeK904/GQ4Xh4lXthNt6olZbL3lJ+qk+4VHuldrTK/J8YjouSWfTd+JJtRxXmoO5lA8uh7xWGOSj4qfyruh0i+rtcFc5Th9hXNGg6jTaXH26T96QFvXueJHfSuvEpjpzfxfH9dfF7PZQraf513m0dgbjvOeuqRHzjOombBWXcFs+btDVajFUbKN7R4Oq09TewVD3Ds/xT9wdpvJXcaaazdlc5HnyM+G7GKrp8p2PqT8qfkeX40uYTpPToOqk+5nj6jrOFO/OXX/mIu+Sdod15VpxcHUavok79dx5r3KIn8p1OlTPU33Hx+lVugjH4am4pM8t5/XEbPvU1t1dT/OD5Z8/f7bDogaDmkUD1g6Dy1c5M9YNqKrjBoU4p2Env2j4dgcv9arBon4oHYpLy8F5nvqq9Dp9rhadkU9Kx65HSiflOe1uX+Gqe9enRkuKc7iJb6p3zrmiU51RXjpL3B2X+VJnhOtynFdupZ6quFTLzUFT23FwPk0sh+18UzluUd00D+lM1Ui9bXi7HiQ/6Dz1VXFrZuX0/vX/67zjOO5redNTU2d82ncPi7qfWCm2GRY3IPM8DYziBoPyfTHkd9KUalOu8zD56/S5pfQ2nrh415OGd3vmOO3gtF4kHWld0aX2iIvz3707nqqO40C6SB/VUnhND8knddZoJbyGO2lo8hpuqa7L36njasx4qkNcJoar0WpSfBVG0pH2yB+3mh6o2UnYTc3EY9YQMd/Ov85b8C8u5v4aP+mv4m/jXwLczL8GoHqJQ1tH7Tu+qY7jnt7JL3fm+CQtFNueJ58TpvJ3hyv10WG72XF9I/zUtzT/C+aP8wAAIABJREFUbm5S/50u50fSemXGd59Rp4e8Jl3p+b36rDd9bPrhfEizlLykeUna2ucnzXl6jqkfaY5S35rnNz0TpI9mupmp5Kl7Tz4nb6nPbV7yIPnb1GrnbMQ99K/znuI7Ueqv89bq/mR0jpt7E+MmPhUTnsOc8XNv1plnDn8Hi+IpznEmHMXbeenqX9GdcJvZcPpIr8MiHIpRZ06b85fqpdqp/lxNn12ew3KxCt/1vD2b+MmrxkOnhfql9LrzZt/NyY4nim/Skc4Sx8Q38XQ8Ut/cShxdXNKxo8lxbPjMfXVGHJVHjrOKd7ydFupj0qs8SRroXuHevqVftrkWm3LeowanRtBqmqVyXIN2MK8Op9tPXIhXiqPhTPiUo86dLoqbe6p2w01hupjEu9l3y+l3ceo+9YN8nfsNT5WfOFOPHV7SSLrnuZsV11+KdfHpmvyjmCvcHL66nmtyIazki+Ks6jr9O5iJW6NdcXScSLfapz3FN2l1uDOXek8zomqRD7veJv+U/tTPUf/r/xB1HMe9MXh3WOYe5brGq7M0JKoucW2HlIbG1UtaHPfEcfJwvrsXxRJ3WsqfpqcO253v6pj1SBfpb/GIb8Mrcbyaq7xP/Uheq9XkutX4lnyc905ryml0785L6zvpIL4NR+pJ643TO/MdHul1/MnXJjf50Pii9lIPqG+0lHfEu9FKXOiaas13xxfyvv4PUfOv895WM2juWmGQ4a5Ge+6WyyfuV/i69ytDN/krzbs+KGzi6F6E2Vy3WhxPx2/GKA6OR9sDdz/3m747Tep6YjouO/VafQ5HYTgPU1+Jf8uTOCrvnE9uRhQWnak6qb8uR+Wm/qa6sxZhNTgux/Fyuan/TgPpUvuqjw7D9cHhqPpNLXdOesnvpp+p1sRV71SD4k85D32IeprfE5WGQMXtDu7EOJ+5hje1dngkLu4145MPat/FOHzimK7ne9uv5MEOtuqtqzv3HT55RZ6ruFZb0tv66M6Ia4vvuBEmYai4yYdqk9cU5/QqPeqeMFItt5d6Tt64nlCtxNXVJp3u3mHMHNe79txxpLqKxw5O6pmbA4dD/VT485p66fg0vu+sNEvOE4pTNZz+eb7LX60PDyO883INagckDWfKnTzU+c5gUT3acy/CUnrncgOq8lpcGsikjzjsclKeUh55Qb2fNake6aTeqjhVX6023vlL9ROW0pJ4zZruNesoDeo8cXA5zv/kj+up45v6oPJSvNonDUq/q0OxrVdJz7mG0+h0zNzk4cRJvW+uU63EQ8WTDoe72xuVN2s7rxSPpoeOr+PfeJu8SjFb60v/eoPXv07Ef1o73yl2re//J5UzljAIU103L6dJ6Zr81b3CVjEqR+GSh84zh5G4ka6EnXrQ+EU9oH5Qn1q/qJabWRfr/CItzXyk58P5T/2g2qkXzfNDzyTVbedpB4ue5bbvNHvkRZqFxmeqkzTRHNP8Nl8Lmvz2awP552Yozfpuz4lTmmWakTRjDX96ThJeit3V1M5cO5dmbr7+X3Ewf9nmLfzphd5v4ZOsWipm7iWcM8f5ctzmflOHcpxPxJVW44XDJS1t/0hPe+34uPO2XsJzWtV+23NVS90rHZRPmqknjV8Uo/hQbOrHji7iQtwmropz97Tfzgn1w8Wp9x3P2h4r3gln8lUaaRGved1yJn9nPHmTekpxTT7FKK5uX2l0XNoaba8J33FSfiSPVfxp/6GfifpwNfG9lzKVjCbj57XDokY7Xq5GU2/Xg4nvsNy905i0tPGKs/Ku4UxYbQ0Vm3i42hTjaqY65EHCbe4nLulp/XTcCYd0zTN3TXizvuO76/eV5TxO+46P4ufwHHeal6SF+ulwlR6HofS1mpSe5FGjNfFV186rJsdpIO+Jd8NX1SIvFb7TRPmE62ZA1XB9Ji+VdtJ0eX3pv8p7+43lK3zb9AbfPpyviTHzZpzKJy4TS3FS9dw96ZuvhuMV7sTZeUvaVJzjQH2jnpNHpMH1LnFyvaF+Jv67PXCz0Nw33Fxcmt/kRzvnSaPCUM8exSU9Dq+dFde/Rg9xTc+Y8/HqM9bgJ35XZsDhOm27etMMOF9ozpwvpKd5ftvnivriPG+e4Z3nNOluZqeZzZ1zem5P7w/9dd6H9QRL/XqDtfKfzt72XPw8Vzg38+l2F0NhKQyKc/pVjYnZ4jkdFEOxjs+OHzNGaVVnjkvjWdKbMNy8OO1OT1ppXhRH6lGj4T05qZgZd95r66ccpc31qZmbiek0kDbCplzSrDg5LJeX8JxPik/CcRwV52Yekl7yMeES98Y3Ff9IvtOU8J2fKsdxTnPgzpq6al/xmnHEocF5r/UUv+Lg5eVlrcWNeFu0d7531819GgyFfV7UTMJ0MRNbvTsexNvVIC1z3+E1WiefhoO6V5qTvt2+kn6Xl3rueth47uKSR7Sv3pW2tqeOU9LZ8NjxxfWB9LRaGp+oR+6d8lSs46BW6k3qrdLX8KI8xZ34TByVR1poBhy2Olc1kx5Vw2G0HqXa7qx9d5hXfFTxlNP6nmZnvpM/O+spPkR9/vz5e9dOZDP4M5/w5p4aaNcwwroyuC5WDZLikHxKtVRu8sJxcVjET50739v6Lk7VcDzVtdKRZihpc3xcntN6JY50zJyWL2l118Q1xTu+1I+m97TXxjstipfbUxiER2u3dzQbje8p3+W4F8Urn9I+9YT4NrnKoya2yVfalE53P/dTnUYzaaP7pseOa/Jr7ivch9eX/nmot19xcCv/bvYm/r6VzuY+YatcxW3uuxpq33EirqSTeCR/6Jr2mvrTf9p3tVy9lrd77XJpdZKvu1zcTDRzlp6Ftt80n+m5Ss9AykvPJHnmeLe9SX429VPv6esOzVXyrp2fxD353PpFvFteDjPhulkgfxv+dJ3minqVnjWabXp+Up/TjNDMt5zSs9z61frX1DrtP/QzUdV3oo7j+CfHcfxvx3H8w+M4vvO69xuO4/jp4zh+7vX917/uH8dx/PnjOL57HMc/Oo7jtzU1bsWn7blHcTfxaVPlKw4Tf9bZxVY83bnCU/VnrOKTfFJ15pp6HabDVefON+LY9E5xJK7kpVrUd6VH7e/ktZ7t6NnxUZ1TjtujvjjMVGf2mzQ6fU194tX2YV4TropVGMQvcWpngGo1/lGc40c+Juy53/hHmpW2iU29JX6NFuqD4+pySbOrq2orHeRtOnMeppW8cjyot1fXzl/n/e77/f4fn36fwk+stX7mfr//6FrrZ17v11rr9621fvT19eNrrb+YgF9eXuLwtcbQAKjmtUNJiwbBDVGq2wxTegAUL1eL+FENp5l6MjmQX+Sj0rJTP3m/o4E4UN9pP+lRPCiOYuferjdXclNcc3ZVg8JLHB/l7/rRaKRXwtvRrXxQfit+O9qdhoSvcAlvxruVfE11E1fnJ/Gjc+d50qVwiU/KSxoUTlNDxVEdhdfMQjMbaVW/bPM4jn+y1vrt9/v9n5/2fnat9bvu9/vn4zhe1lr/8/1+/w+P4/jLr9f//Yxz+B8/frx/+vRpeyDV9fl9Xp9XimmG3Q0VDXga/FTT5e4MuuOZ+JIG5+cOVxfvlpuXpudUf+JTTxVm66mqo+4TN4Wp+KQ4V8NxULnkmcJPecTF4ThN6rzh6PxzM5Hidpebj5azw5lcaV/1ysU5va6+y214KBylRS1Vh3g4DNcfwqN+ut7uaHL+O84q1nnt+kPaZ7zj1eI6nIve/bL8B8T3tdbfPY7j7x/H8eOve7/57YPR6/tvet3/obXWPz3l/vzrHq5kZGq8MokamMxXNVUTXT7xcTiKX9LqrhttCtcNKu1Tfad/cptxCo947nBIdYhPUzf53fJSMW5WyFN3Rv633hAPVb/ZU9wdL6fd+aT4Eqbab7GplsNTZ00PXJ7Kd5pT7aQ18bmyXC+UDnVPsRPT+dJgT24OQ+mj2g2eyp260yw4j9V94kK5yV/nMWmja8e/OWvXhzLud97v9392HMdvWmv99HEc/xhiD7H3fd/uev0w9vaBrBLTDuWOsY3BbTPbeMpTQ0acGk9UzXlNmA4nYc844uz4u/zkm9PharqYRh/tOy9In+KpYohb0kyLaqYeufxGi7t3/XV5bU7ygzx0cSq28Z+0Jn0JS82DilUYLm5Hh8JsvKWapN/VULVUveY6aXf7rgeunqulapO/570Ul/ilPeev4pBqUl2K2Yl/dG3/33nHcdzWWv//Wuu/WO/813lva9fY89mMS0NLwzv300DMWMVhYrmBI2xXS8W52oRFGC6/wUncGy9S7MxJvOle1XQ5qU/OhxYj4bbxKj/tu3uHQX1qNSatTV9IN2ErLuS106j8cvWoF4kPcVBnTnuqp3iRb3ORj7u9U1gNp9bPienWrn+0NzEJtz2beI4H8XukjuPbetPwV/xSnYH3g/2/847j+DVrrX/nfr//f6/X/+la60+ttX5yrfXH1lp/5vX9b72m/ORa6785juN/WGv9jrXWv6QPUOeljHLCW6NLEy2fJt411uU4HUnDGZvwXZzDU/yUjqvxVKvJa+4fjVEe73BxPU3xtE/+uzquV63vFDNxXP2deHWdeCr9yZ+mZ8TJ9UtxTTwbD4mv0pt0Ub32mni6+B29SUfydepUul0/Eg/CdB45z9Sivu72i/CSvuQP7dFq/Hc6CJv0tLGJe1rxO1HHcfzIWutvvt5+WGv91fv9/qeP4/iNa62/vtb699da/9da6z+73+//4jiOY631F9Zav3et9a/WWv/5/X7/DtX4+PHj/e0XbiaTz3tzuVx3nTCb5ir8eT4xXPNUDumYmI7n3G+Gph3MhsPEUT44nnSmuFHPHa7T7PgTt6nJeUP+kn9KQ9JBvEkf8XO634Oz23PeNprTmeOv6u8uVWOXv9JNvVT1FZeEkXpAccSRODkOLsedOUzKpXPXo7a/SQf1YKfXu560fKinDT/lp7tu6hBO28PX9YP9TtT9fv8/1lr/kdj/f9Za/4nYv6+1/usdEvR/5813ZVYyKuHMRcPs7gmnreH2aEh26jVeNHVULTXsk4vyL3G6Eqt4TozEa+YQduKStBC/uZdyFY9H8pQ+1Qel2WE5j1xP6Lrx2+mh6zN+4kvcG67UE1ouV73vnCtd1HuaE3W/yzPlka+tHtJGWI5b49VuLeUT+UL1Jm/Hd8a42uo8eUX+tLVVLeJIMVfX9s9E/SCW+k7U2/XbSg2eMSqPctVyw534zBy31w520uaGzA2x8qN5dxyaejseOR1Kc/KPNKk4uictxNXpTXzaeqonyhfqH2mnHqXeUQ1VJ+W6POWpw1O+09rRTr11vBKO060wG19cXNNnVSvpU8vVoRrUO8JT2AoneejyVT3nPXmevFf1nHe7fU5naiVeDtPFKP6pjuKTuIj1y/IrDn7gSxnQDKrL32lo02h3r+o3umhoCbeprTyc/BsvEvcdfqRfaXGYiVer0eG5PZc/4xVOy6XR7fqww9/FOEzHnWq5usSVarr41CfCShpJD92Tny6fuJMWVW/32mlxPjn+jitxoHpuURz1MHFt41KvlZ557e6pTtMrinFLYTjeqlbbN5fr5sz5cpWPwnuP9RQfos7/AfHbSkNBQ0kYycRkrmsiDXxq/MzZeRAorsVIec35+YyGtdGWvEwz4WJVP2ZNp7OdC+q9quN8avilWHWfrq/Gvt27GVZn9FK1kldUU3FotLd8lB+Ot+Kxy7vxjOImV+edOiOtCZPwqH9JU9MLqpU4O53EjXTs5Cge5J/z5pzX9LbhOnFcjuLsajbaHB9aqa9X14d3Q3pgvby8rLW6Lzg0FCp/xpzfVT5hnnNUE9LQKQ3NwE5859WMIS5NjV2tTo/jqnKcFoXhuDqNjfcOQ+l3HlCs49vkp17OnCa37Q/1hHxoPZrxdL7rfYM34xN+0ky+z3zqgeOWeKY+uflxs+Hyd/DUvfLGaUi+udjkidPZ8FD859lcqc+q7ox3e9Svtn6j3/FxGqjmI71w2lOt91wf3hXt4nI/D+UMVQYnM88rNay5dnhzT9V3e+d954OKIRwVp/IT38Q7nSfvKL/ps/PH9Z6wFIbq8Q7HpI3qNrwbrDam4U6+qLNUx3lCfiedTqviSTwcBnFQ901viaeKJT2KO/mTYkl78kWdEffG18lZLerbjn6F6eo4zU4f4ZP3Cldxb3qg+NEeeeHOHB75kfqxo1Xxf4/1VD9Y3gzHvE5D1uRRDWryTl1133B1NdSiIZ0aVG5Tf+Imvya24kc+pjqqruuZu1exrpZapInquppTr9pznBJf8jzVdnOQ4tt+OR6uTlODfE0x7t3hJIympw2u66E7T711XJIOwqJz52fT36lpZzZSX1MP557j5vSkfXVO+lNN0q/iKEfFuj3yullNX5R+ilFcT+cP/WD5ut/vX/z18vJyX2vdb7fb917rF/6rmO+95j7FnGPnnqoxr9XZfE+5O1xUXcJwXF0Np0PxcjFKc+MF+X2lZtpzL8d5h3vyNdUgnXTvPKG+Epd2zohrM0uUQ893y5liHQfqc8JvnrWmVzR3qWbyrO1DO5dKa/OMkD7Ht5nrNCs7z2f7DFOP3ewk35vnPc2Wy2lmJz1HNIuuZjtDyY/03r7oeRtn33nk88sX/wD19iFqdzh3mny1MfTg0KDtDEgzHO0XnHZYk9Ydn5q41DfFrel96lF6iBxmevipXvoCQ567GVI10xcuxyOdpRlqsVqfk+80ZztfD9o8mqP0DDTPxZW+pWfZPTeub6n/zfNFM0zamlfCTvOa5ilxdjPjdKT5bGalqdvMm8trZqzVlXS085Pmyulx1403Zu+hD1Ef1hOs889End/Vtbqf+xNrxiRMx2HWcHVcnsNx/Elbo4n2nAeNj2opjVd8J0zKnXUVB+qD81lpUudJi9OW8p223bpNv0mfilVxrUfEj/ZoufrJJ9J8xki5M1/1jvpJXJIXCt9pUjyoXuKk6jW+7GClvjQ4iZ/jpjCIX+MtxSmu5FXCdrhKh6vhYpt7V8/hkyYXpzBTvxKHdj3FrzhYq3vwXA4Zne4dF1XfDdkV7lODw6LBd3zVmTpP/tFQOo9abomXinHDn/grfq6nDtP1P/FMvaEY0qf0ukV1SGeT63DmvuKjeM7z9/DP1Um1dvrhzhVfh6l0uZqkm7Q2XFvvG95NrKrhZkTx2NFIvW76n3AUP4eheBI35Ynbo/zk69SX+up4KC471+TR5Jb0kLaH15f+q7zzz0Qt8623Zb4teDPf8ju/zziFN3MmnqvhYlQ84dA5YTutzhuXn+KTV8Qp+dL0lTg1M6KwSRPpas+TnuRb25e296kfzfPmfErzcHWGaA7Iv2bOmmfa4apXw5V60WigGWz7sPN8t7jJZ3puW7+b5zRp3fFtx99GR1t/ty8UT55QfuqZm83m2WvyqV8tv83n6KG/znuaf5336dOndSv/ZHUzn0Dp7HxO2A6PzlX+zFOvxC1hNDx3PZn11LV63/FFxad7qrPLQS3nv6qT/FDXClNxa+fE9bu9dzikeeY7TPKBtO4sp93Fpt65nimvyPtGl/N451ydOS8cV5VLelzt5IHTRL7Ouk7jLlbilLwgfdRHlaN0EmeHp+o394oraXScG07EU+l2Z8TD9d5xPMV9/f86b218glSxt/Gp1cUr3ImhcFU94ks8Wx2On6vttDjNTUzjYdKTfFIanFbS6LxoeNPsuNhmLps5dTrdHCZdCctdN88SaW+eH+K7O+fNjLW9aOu1/Wiey0c0Ks+oXuvZjs6drx07z0PCTtfEg/pJ/Wuu0xyl/iQfVS9phun53qndPO/N87RTr/HK6dn5GnG6fug7UU/xM1Hn31g+32/mk2uKU/sOq8lzy8WpHMVD8Z4cXEziRPnKC+eXy3fXDZbyramf/GjPUg9cnNJMXBUH4rQT3+Y3vM77ba8cR4Wl+DiuqQ7Nh+Lg8tU1zUerWdVrNSu/XW3KJd8SB6XHeeOwGi93YpVuxc950HKd2huejT+kpT1X3FR90uswEq9UT8W0OaoO3Td6CNNxuLqe4kOU+td5zcCmGIU1zxUexbc8mua0dZQedU04rlbSNfGu5Dd8Z547d9dXuCgdruaunsZ3F0N8XA3FQdV09Xd4uR41+6qHCtfF7mA2NZJPTf25T3i7vIlfyyv109V1WHPfeabwHCfHq9nb0ZfiUq6rTz41fMk/5RVxI1zync4dj8TR9UZ50nB0fdupQ3GX1pf+q7y3Hyy/wbck1/j2n7p29+5F2ITjeBAvx/s2vv14RafS5fCIg+IzMSdO44HDJI+UFqfNeUPcaD6a2aM8h0Wzk2aG8JKfrX+p34lnmrk0P6kn5D3NbfvckM6kL/FJc0u86TltZiv5lnilZ6zhR3Pd9G1nNhoNiZ+b4eaZTTnNLKfnKM1pq83xa3FJv5v55CU9d9RXeuZI2+vr2/plm1ceuvQFwZ2lLyL0EDe4tJdik/b2oWg8SQOZHtj35qSuW/7poXL+J53NrDRf/JIfblZUDfKA8pvnpXke3Dnt0aynuUzPYfu8NLHOI/Kh5dHMXLpOvVa9TTNFOG7uGgx6btNzR8/Tju/NDDm/29lKM5n0X3kOWr9oBpKONp9mJPlEnpKHjR/FvH57/zrvbd2Kbxu+XZ/fz/l0fRPfSlR1FWaKVzVcnrp3WInD5Ep7yku1XFyLQ9hNTYfd1Ev+7szMzHe5rvcqzsW0sVTLnan7hvf0grBc/IxJHrhaKq/l0nrj+qZwdjQrDNLlMJJvijPd0/4Ox6TLaXc5xM3dO22kh3ips/Oe881xnOduX3mj8BNWiiPeVJ/unV9Nv1MfG/6Kj9Hw0L/Oe4qfiZrLDej52pk2cZzZbjDSUKR7hU2DQu879RvcuZwHKi4Nc6PX1SadaZ+8Jh103izlPfVKxaUch3t+n/szpunHlf42q+WYcshrx494qnzacz1z72klPWkv9WnWIb8mH+KquCuctj9tjcQ96VJnU6PjolbiT7warc156pd67dRQWhq9Lp48cDqcJsWB5qTtz9X1dB+ilBlKaGpEk0MDRzzUuxoidd4MkWt6GqR2Ja3kXTOQFOPiKZa8c2culu5dXqrV6CNu5EfjN3HciVN56uXyVI3kJ3FMWnfzXI8oxuHv1En+Neezpjt3tR0O3Tv+zseESRjKC9Ks8lRd51Hr+Y5+0pDwlGaHq86cNlfb3auldLg4p9m9k2ctJxfXcKWYen3pn4ein4m6hb/TnPcz1uE18XPP5V7hMnk1e8kLxWNiKU3q5fgoTsoL6iFp3vUlzYTSn3ro6rW9dn1r5ibNvutfqtP2r+k56dqpnean5U7+EE/3bDRc6OtL2w/iTHPmeCTfGp9o5lJ/m3ltPaVeUP+Sd+kZolloZpj60vZ15/nemTnCbDQk/6884643yfd23tPzd3r/+n8m6jiO75G4wafV875aTdzEV7Xca4ejqtPcu3zKo9qkM2mZ2luNCYf4OzwX5zi6/k0eLT7pSrwbbOex2nN+U13lB/VW5bo9d+9wE0+q6bBITxPX6HP5rT8Jh3g7Le7e9Zk0p3OFpWo5TOWbq6n23Wsu8sXVcj11NZy25E+jRXnjeut0uXrEe+I4j6i2wqe92Qv1Tn7s+KpwX6+/rZ+Jciaer1XDVO5uTXfdNGXiKS5N4xWGq0V60+C1upwOh39loFveKcZpdB64PhGn1NtZe9eHRq/S5zgqHi5mxk5ujos7S7zJF/KBeuriE5bz0XF15+QL8XCcCNfxVtiOk8NS70mbwkpcXC8ntutPmoXGX4fl9Kk6zdnETUvxnThOq6tHeM6rJt7VdHHzrO3R5OHwWr5NH9J6iu9Evf3rvLX8UKpBnvE0TG7RIFBj0tApXo4n8U14pLPh7gYzDTH5Tp6mWoTT1FWxqt6V86RLYVFc0u18ctiO246HhD05k08Nr4mjNJIPirvzkLxp+tvMSLqmlebBxblepvNUw+UnPQ5LxbgeqZ4RF4fleCRPVUzSOevscFF6qKbzTeHPGup8YjtNbk/lpb5QPOE2+lR9FXva/za+E+WMbga1MWznffJJ9Z2OGT+vExfiQ9zP8eQjLdIxe6XqTw4qj3xseNF87PRWzZPKpd5QDdfL5LHDecRTNRfqlfS6ms5HxWV6RveqjtJFnBS3dDbrqTPKo31aiYvrlcJPWpOfxDnh7fBPXqn+EofkX+KoVtu7hK14KA0pZ8fvxLH1VOG19VXPXXzyYeZR7tx3fK+sp/gQ9fnz56ppzvRknoo7789zlePyHDfXaFcz6U/1FRen0612COf1xGg9VVpd/pUYpYmwnA+KO2lVdRS245y4zHeqlbQpboTpFvFLfMlv4uP0Xelb40erudm7Euvqp9yJkTxSuOpd1XEeqpqN7qbGxFeYTU2qk/rmuDb7iruq6fBIe9sL8o70Jp4pLuFe1ZO4utm4sp7iQ9Ra14Y0DYHaV2eurhskxWvmpHo0PKQ1DY7ioV7ES3meYijXYSj9xNVhOA1Jn6uV+DvOTR55oPCdRuLZYrmVMMgHx5M0O24thqrZYjje5N2sqfpK8ZSruCrejrM7S5pb3c1ZU1PlTyynh/IaLum9WZSjOE4eNCtpFhKnM67Cdj1O/XPxhKt6R9pd/Znv6lAe7T+ynuJnoo7juJMoErozLAqzHeYrhqthm9yc3mbQGo0KRw1pyp3vTtvkRvVooEkf4aU+qTouTvEk3s09rdYnyiUPiZ/rt4qfdVXN5EfiSfynTlWLfCT/XF6qTV6ofeLkerlz5nxLPB335IHS4DimHiosx3PitHOyg0eaqPfEnXxNPW4wFX+3p3i45fx1PjZ+NTUdrut9wh4xD/1M1FN8iPr48eP9/Fd6b0s16nzWDqA6o1zKd3FpENNgu5qOWztIbayq4/RPbg0HpYd4ptXyUDlJuztLfjpurr7DTnp3eBMPh0N8SWPbg1ZrU4f8oHhVM2G5+ya+6ZPDUNdx557VAAAgAElEQVRXYtuzK33Z7Sut1CO6d7XSHKW6DT+KVS/FY2d+XM6OTlWvwVZxyRd17rjMmk4H5SV+p/Nv50PU22qGat7TYDhcGpjzoqGZNShnnisuSXs7aE1Mq8eduziV53qTeuIWedbooNourvVGxVDOOWa3loolP4inqulW8tbVSP0mHa6uu3ccKXbuJXzyl+IIz9V2K+G15+595ra6r3B0fKhXlKP4pH3yvvHAxSUu1PvUm6Rt5lz1JeUo3rSXOM36O9pcDYH30IeoL/7byl8/xNnfJHszv310md9mqnIVJmGpc4WZ8Ob+5OF0EJ7iNHGSN7teOf4qnjxMGsh71T+lKc1HMxe0R7PgcpNm6o+bm93noJ2NNMOpD25eUi9bXbszcGXeHI8rfOj52PHU8aBndnf+dp9vh+84NnNInJ0vO/PYcm/msHlm0hzQ7NKr+TrRPhPUN/KzwWpmfHeWyYcUb+Ie+o3lX/wD1Nt/++KM2/ni4oYzPZg07OkB2X2Am4c5DSsNUjtAFJ8e0OQ5PRBXHvjmC0ib2zy0rXY3i+4Lh+vpzhylV5r15CNxbbS2zwrNcNunhNH0q5nLxv/mOXAcE37qQ5pZFUdff1IPXTx5mri2X1/SXoNLWnd1uh42z7zjSv1zHFtdzdyl57t9ztMz4rxqvz60fSieiYc+RH1YT7Ju5bdjb+NbgSnvJr6Vl/BUjOKZuKiaKUbtu7OkwelxOshPl+/2Gn+Sd241sRRD/ZzXM28XL3nvYsnLtNLcJP9nHbpv+jxrJU3nM/dyuik/1Wjw3NnU6zTvck0ckocJw/F0fqm9WavhuptH9aYO0pKwnT5V33mvcienlq/jqs4djwYrcSUNrs8qxtVW3FJM24O09+h6ip+Jevu/81pjZqy6dzEN1nlPxSpObqhmjuNM+w6DcomL0kUaqYaLafabc6d5rhbD4ZGnqpbirvBpn+LUvaqpOO1waHqeOFMdh0XeKm7OC1o7XijeKoY0tP1O76qG4+e0UH9dnOOw40nLi7ip61nbnbu95AnhOO0JP/Fu+KieTA6KH90njskXNyeOn6rpztpZUjWuzN/r/df/G8tfXl6+b88NfTOA6to1esarpRqgeKp4NwCqbhrgxMcNYlM31aLYqdd5nXpFeAqj0USzoDS2M0K9a/QRp9QPVZdmx/nY5qn67f7EcR45Lmrf4RFmo0VhkCZ3pni7Wu3MKH6Nhh2uqn7Dv/HAxaf8xGm3xw5v9sJdOwyn2cU2NRLH+f5IL1x9xZO8drhXYpzOGaN4J83k1e56iu9Enf91XjLZiacYunb3yeCdXBqS83mq77xxQ3MlP8Vd1ax0E/9dvrSo5+q80UZeOG5ujzymXLXcDLTclBYV09RNdWYt6nvi7jgrPY1HO7ocR4dJOWm2ZpzT6PgnfMfB6drxUPFptCvchOly3HXLR2mmGqlfTT9cDtWeOtT5Lo/kJ8Wn/qnlvFf5qWcB/9v513kLfjBw7qv72/jBsnk9cRIGvRQ/d61wqb7S4vZaLcRF6aIekO62H6mnjY+JH3nXaHSam15RjdTjnRrUEzf7btbbHiv/Hd+El56L9Aw1HBufSBPhpzlpnpOklfp5pUbCSt7uPLeOfzPL1AOaO+oD9Z6ew/RMJa8bL53GnefE1bsyu81ctM+L09X2LPW3nVfD99v413nJkPRANCa2D1Mz4I5rGgz6YkHYjzy0zSA2A6q40heIpgdJQ6rpzq9+UVG4qd8uZ4dzW6OdPepbw4U8Td4SH3qWdnp6xS831zuzkp7x9KyQbppH522qnzwnr5oe08wrrLYXCb/pE3mXnu/mudjx72oP2mdzhydx2n2O3Kv5mkCzlJ4VpaXx2sQ+9CHqaf4679OnT79k7xa+HXcT3yq8iW/vKSx37t5VDnElHOJOnBSPm/nWZYPj8glr5ijuybv38iTpSXmEofIazuqlYl28q0v1lL4U12DQ3k4dynP+UGzyXNVNe7t8d7y6wrPZn3uNr47TlRylxcVTPVXLed/uO12Op7pW2ije1Up+tf4pLIfhzh2eiiGf29V4SpybXiqOikOYl6//B8vf/ssXZxo1kgaKBsnVOC9qjqpPtdOANPqaWq6+462GLtV3g9rguxjXa9KkeO32X+FTrxVGc614p7rU77YHCWcHM/XD1XW9cXtKx6NcHWbi564p3/lN3BKX+d5ySD7QIi7quu2J2idtlE/6VB8IU+khbq5+8p04tX1sOLS1J2bSnHAUx8QveaK4qnjHVeU63rvrKb4T1fwHxI82I+07TDesbvgcpzR0anhIk1qpvtNBw+cwEjeFS943nKi+84O8V/XJC6exwXIxKidxcvUbXqkPpDVpc/eKy44Hjqfi684azZTj6lCPFKa6dsvlK32Ow+ToPHDcHG/Hl3Sl/roaTl86c/jEV2HsciBf1H7yhXRNfpNPqumwCNt54+7T/uSsfEn6iDPhvq6v/ztRb7/igIbRDbnbV0s1hgY51duJJy2Jq9PZDDN5pWIcT4p1uImXquHqtnmU8x5855r9oL4TL9LjsFQMaXI8k7a0T/NB3Cemuk/z0fSFeLaepL7tcCN9DQens9GX9M5rx3vWIV3NPDj+Lq/VTdhKi+JMfJs8V8tpaq/PvqiepV7QXqpLvJvctp9UmzxS76T5kfUUH6Lmfz7sBsENn1pN02Y9V4teLm/WdAORMFSOy1PxpDPlKz3qXuW1+hyWyifvnZbkjfOR/G10kQ6l13Fq+9vU283/QeY0/Xa8qb+phsJwNUjvjEscaF5Ic6Np6kg9b3Q03lEOedr46q5d/1peapE36vyK/y5GaaNcl+/qpD2K2fEs9cbh7+ggT+bZDr+H15f+l3n0r/PU9RI/3a/OFcbMTfkNn5TvOKn8hmujIcVRjPKbvCU9VLPxV82E85x0UWza3/EizR75Rfp2uDi/KC7VaPvW+uN6pfxJZ4nz7lm6plltvy6kud6ZxaSh6bGbzUdnsZ2lnWeDahEezR/5QtyoVtM/6hnhUL8avq3/V/rZciFej3iWdJk5+jb+dd75u1HndSv/5Db3HA7dK4y5P8/o3WlQWIkn8Scs5Z/LczikoclzvinsXQw1F44T9Ym82pmLhqu6dpoT98TNYTZeU59T3MSk+8SD6jkOSnNTP/XP1SWdTS9IV+qt05xy25oKVy2X4+qlfYVzpZduj/Q7LMdfYTRekR9t35WehEM5dO100b3TSr2ZtchT1Zemh6e9r/9not4WmdUMlcJ6u1Y1zmepsWroaJiIm+LkeBIH5xNhUG2nReGpXOet0+n6QpycznRGPU/1qffuvuG745PrD/Ggnu7kpfq0p3Bc7q4H6b7hqq5nPecNaSFtTtd7eEL4ilvinTS7/B0dqa7zqo1PMSpW8dzxMWlOmDv9cp6THsfX8Uy4bb+oB/O8wVZ6krakb3d9eBjhnZYy6rzf5Kr987u6psFKsal5qdG7QzBzH8Gc3ihtKl7dq0Enr4ibyyUfGl0ufqcu5Su8mZc8d1za+urMaWrqKYy5TzppUf+phuKr6pKettaOX828OG926pIO5YvDTD11Hqt74uC4E+ekw11TnqqZ+uP0NTwSnuJNfqvYHQ5pz3Ek3cStxVRn5BlpT3kKQ/Vkdz3Fd6LO/2/efHciU7PSMKdhmdfELw2C46/23LAqburhcPzcS/Ft4lwN0ue0Km0uZ167PceriSU/Gr7kTet9o93xI/8StxSb9CaO6cztuV42fiq9DWeX53qkcBpM54HDSnqTB3OP+LlY4uo8V3sOO/nr+pDqJR9S3G6M4+g0OR0u3/XR+ad8UXxJr8N1viieSQPpV3UnVuKecHfW0/xM1KdPn3AInQE0kNT8HUyFQ0OVhtENrlvtwDV8Cc/5RjEN/7SIP/F1+iZXqkfXDmfHa1U74VK9VL/pT7O3o6XZo/4q7pPDTp+dp6m+W8l/daa0NNxppZ60/tE17bmzWV9xVjwT/6RVnRPHBptyGs0t3ytcFB+3p2omncST6iqeqm7iTRoUb9crxwe0f/0/E3X+ThS93mLO7+c8h6FiJsZcrhnqfuZRPtXfGULHIQ2j4jdzXd5OT5q6Ka+Ndcvxu+IF9dxh7PCiF9Wkd1e77WHyS9VSMere7as48r7R4PSmOBXTcFKr8azR4+q5vHnttCUtV2eBuMzrhDf3lLbEWc3Bjq7Ge/LYnSlebc8c71STdJJGqq1wGi/dedNXl6e4OO6PrA8PI3yBlQbqHHd+d3sqxg0GDdLOA3ClyY5XekBoCFX95K0bdNKqajpPFHfylrTt9IQwGl1Kg8N1egnXcVBL1XAxKsflJ1znZ9MHyiVOzZ7CT/USF9KU8hpfCSvxcfFKk6uV+DleCZ94pj7Nc/KDaqh7qqfyXDzpV7FOk/M8eUDaUnzi5bQ5bMJ3q6nb9Dx5qGpdWl/6d0Sdf0+Uey34XRzqfIXfyTLzXOx8uRoz/xyrcp2GpKPl7Pxx2qY3TkPSpvCTtuaa+kmcXN93Zop6TH63M5G0NbOS+um8TM/JFb2En56rds7a+W56T73Y8YQwdrju9MhxpWch1Xb+0Dw13juMVKPVkfzbfYauYtEsJKwdjOYZVx61Xz+a557mjjxN89nOWDN7pe6Hfk/Uh/Uk61Z84p17N/PJ8xY+mc4zVdtxoFoOS/FOddL9Lu9GSzqfca5eg+/wSGfyPPFTHBoNV2qkfFfTYRF35znp34lJ/Wo0Eg754c53Ykib4+b07PjhOLhzheXOnRbH19Wf1w0e6W39m3mKG9VIvuxwneeOj7qnWFVb8VRcksbkh/O8iXf8SRf1wuEkXo5rilX45DPxbNaHh7LfcaVhntc0KO1ATDxXI+2fz2nf4TnOzbA7fS3Hxvcd/FRb6UixicvEdHmElc7dcj1znJQHrr6KU5oIlzhSDvF1ehV3dUa9obyE4Wo57ORfo9fVSj10+ua+q5c8I35JF81CU8fVntiKR4O1w0nFph4r7u2MKI0NF1VTYTlOE7+Jd9qdz1TH6VM8XK7zRHFozhtv32V96b/Km//ty9r8NqaKU+838e1Gum8wU42Ws+Pi8AlbxaW6Lo5qNrnUQ/Lf4bbez9oNB8UnzRldq9qOG/GdfFxuM8uki+qQLpqH5hlsfaT5uKIh9Tk9fzSXTTzNfnOWnsk0A6mnaQZ3/HRciU/6WtDOB/Xl6ry4OWnmstHZzkvje9JJups5aZ/hxJm8p2eMntE0S6eYb+e/fbnBJ8eb+OQ5z+b1OVadqVopZ567nMmJ9om74tvWSPWdjsTHxTpM53vLk3CTV8RZxSVOpCXtJU7EtelbG5N62+hwuC7G9TXxSxyTNsJpODi+yUO3JrbCcH09X7seOS7ka8uf9F/h4TxI2lz+1ELeNj0m/bTei7+q6ziqXrh98stxSr4kjFaH4u3eCcv1V+HfvpVfcbBjkjOoGaC5f35PZy6Gzmkwd3DTmTt3flKsuibvZ5w7mzFNHmlsdbS+utjElfxxvK/0LPWBfE/1SbvrjatLvVQYKb6NoVqKn1p0thtHNc4Y1EPVl9TneU9zQ5gznvLdIq0px505/u680TXrJq9nXTpPmlsNqqdXeuZqOk6On9NxRSedp1yHo7hS366uD++G9E4rDaWKa4aEcJompAY3dVSe0kyDQ5wUVoun9F7RoPJIY9qbvBwX6kvyqsHexXIezljSnuo7b9IZaVD7rb501sTNWiqf8ChmnqW6jUfOL5c/+VJ+w9txaf1KfSFvXQz1L/mVeLkcpbPV33in+Lsc4t7UcTVIu9M945X+eUbxTt/MoevdPcXZ8aR3hfMe6yn+Ou84jrsbbDLt7doNJF3TwM44V8fd0x41LmlwOpu6be3Wb9KmtDY9bfSSZqUn4Tl8up76VW7rTaMz8XBaiOesrfikXpNP1G/Xv7YXyVfFRWlQuK52E0+5pK3p7due40+6KNb552o4nuQp+ejqpnlxM6R0khYXt+up86CpQ9eNvpbz5KByHXdXu+2D05I8U3hpNZ6Ms6//r/NeXl6s0LW6QTvvTePScM1rheU4qQFp410th50Gm64bTomPwnYxjqvrg+vZFa1O57wnr+lcaUxL4e74RD3d1UDXxFvtNy/FW2klv9V1w8tpanBUDMWS9nmuaifuDdeE5epRfspV+iffFKf0OJ/UmTt3eprazgOVu+Ol40Z56nVFq/Mq9U5xS2fqmnqQ8tx9w835RzjterrvRJ1XMq8xl0xLRrqBSnjqfmfYqLbLP++lfRqmue94pmGkQU9DrnAafKqptCgOqmYzUzt9cnHEd6cnxHXuq3yljWo1eU4bxagzp4e07fBTeps+pVjnodLUXruaO9rUdYp1OlSu8t/pJmzS2WhV8Yq/wqQ+Kb2EQ/gqxvGYeanmjGvyqW8O32ESf/Kf/JiLPFVcT+cPfSfqaT5Ezb12mGh4qfFzj+4VpuNAjWzz0+A0w0g6Zq2Um3gobPLDeaSwnBbFT91T3A6+0tV46fgQh3SmsJ3nxK/xjXi5/iYejY5Us/G/yXM1FGfyJ82Iw6L+OU6pttLs4pOPTb9SfdLf1FHcHZdmqV457KQl9TDhKjy17+KdLqWtwSZddN54TzGTp6s9Y5yOGa+wT3sPfYj64r8j6u33RK3w+04W/M6J+Vrhd0s4TJU3ayU8qu/yFH+H2eogXo5n42/a2+Xr6u7uKe3UB+KzM0NNjxt84ud6ujP/VJNmIb1cb67OLnFOPXO9aLWTb42Xrh+pP+RnM9+N/w0u9eHq87Izj6mH7deQ9rlKOc1sq5jdui4m8XK+Je/S80P8037T7zRzaSZ2etHM9nrw90Q9xc9EnX9H1K34EyGtm/l06rDT+8SeL8dNxSguLk7hqVyq786cPpevzsgD5zPVTL1KPCiW/CYeSoN6d5yo5yp2N95huFynP3nmvHE41K+mXsNH9aDxstFDuslvp6H1V3FyOaSflvPQ+eauG5+VB0qD46P2ZzzFUj3qF2kkfrv35JWqo3IUfsu/8U/xSPGKC3FOGKk3rb7k5+X1pb8LRb+x/GY+hc772+lTqcpx2BNv5iacmTPPHN/Emfi6eOJKvu3qU3Wb2q2mxDvVbOYo9cdpTrNHsc6TNHdt/qMzSb1uPHE9a2asmcdWczuzu31oZrGdHeLZzveVfjTPXvsMk/fNTCQdiYub0Z05eoRTM/NJD/lHsfSMkR+7/rU6E0byb+d5uao9PGcPfSfqi3+Amh+iknh6KN3AJqw0PKp56YsJ5bWD1jxc6eFIWOnefXFIfqYvCM0XndYbetjcF6qkM81C44XjcwW30ZfmLHnQPjONB2meWg/SDLbPFeWkHjkfm96lZ7jpSVOf9KTnlZ7F5rlu5zbN7M5z13jTzF/i3Xic7un5dfg0Q8l3qu9iHLf0vLX+ul45H5IOqktem5xv40NUY3jT4NSU9ouei6NcevibYaGHih6IllsavOShe8AdD/qCQNzcfTMHV74IkI/0xWfnPPW5mZP0haedT8dZ5adn5dE5S3O127fkD9UmTIpNs5Dml2bePQc0p80MNfOxO/vtM51wk1b3HOz0Z2c+6LmjZ5C83uXZ9C7NQ/Ocq7iGW/KXZrZ51tNcpGcmzM238TNR53Ur/u5/Xrs9hTNjKUbFqjPHf+7v4LRaiCNxp3yKcVpnfPJg7k285AH1lPaJE70c30YH9VjFEzblE8aMmx463oSRcpsc0ut6kOLnIjzHLdWa9UiT8yZpa/xMOpI3Tovi1vB0XBx24qW0q/qJc+pvk0f+JO9VPaXJcZrxTT3F1/FwHrr+JEyHo+J3c8k7ynX9eGh96e9Cqb/Ou8EnT7V3G58yHZbaV/WW+FQ76834xGfuEb90pl5OD3FJepJPs86uT85jpzXNQfNK3ijeNBtOi5sF5xt50eA1/Jt+uho0l/SMkfeJR9MvmrsGs52xFL97rjjuPI/Oa4fb7BN+6iP5TlpTHdc7F+tmhvxtdbtaND+EeeVZT57Ss0JzlDRffbZSb5MX7XNCM5r8X9/Cd6Le1i18up7X55yZP/fmtTqbNVSsw6XcVqPSljQ7noTp4hVXqj+1JI0TkzS7uk5DwnCez7UzB0m3OyN/dvW5HMWH6hMH52Hjp+OpPFVYyacmp8VXXAkv+ZGWwqH8tndNzjxXdRWu85V4qzrNDKhY0p367N4bD51G1w+Vk/gRN8exnYeWA+W5mgo3+Ut+qxiH6XBIk8J8ZD3Fh6i3X3FwXjvDTUN7fp+4zfClemoo5zVxaeLTkDs9CY94Nd7QUFMu1VT7bjX5Dof8VXpSzZnX1Gk00fvMcz1ze4670tx42/SVOCb/XF2lsa3Z6CRvXO0rdRym23O5qgb5q7xR91Qn+U78k2eKR/KH6ioNMy95lHqYPKWZcHWUlra36t4t6qHi4PYcP9KkvHXx6t7lE7dH19P8xvLGvLdFQ6jMa3Ld+c4gKSx1TXxpMJthID4N3zRUbT750PbK1Z4Yzsc0A6knVF9pdvGufnPWzIjyXXmb5oS8dLp3dbg66t3xTF6oPBfj7lV+OndaqAfkL9UmL8lPhe88VPUbXOoxcaBetpjEL+UpHUqX4zRjCDP56WqrfJVDe1fyyUvyxeFTPvFMnpGHgP9t/QfEbnjdtWuAG56ZS2eJj9tzg0V8FH+nW/F0mFQz8SZujRbFmTg4Lkqzq0e+OB5NzRmT+FLPGi5O2zxLebRHtVw+XROu23O9Ii6PxM3rpt/Ec6c3SSPVpJfSRhycVhercmhP4V+dGapLuKmfrt55j3TQHtVr++04Kvzk98xXta54SzVTj12M4tWcpbqN3qvrKT5Evf3rvLMwJ1KdOaNpuBJ2E6uWy1d5DU/i4QaCOOzobpfzRmndqam4Jjx3NmtSvdQvdZb2kieKm3unmqS94bnLnXpEfNprVSvxaHiRBuW7unZcWxyKabhd8d9xm5hNftpv++G8IE6OA/VMeUY+Er7TobB349K1yid+Lp60tX67eFdD8ZocSRthEz/H9T3W0/x13lo8AOdrNwz0IKSBpUFWca65O4Pacld5c8/xatfug6Jq0vCrc8JL2NR76gF57DQ5HYrnxN7Jc1iOk+Lo6rR5xDfpS2eN9p3l8lMPmzoTS+05/4jj5NH0wulQmhpuxEPxV1zcueKv6qZcNR+Jk/MhaVC4DWfCozjX+6R7xk5swnSaFJ7jSLyURuLr4ptzxy9xAV0P/XXeh6uJP6jVDJuLpxj3rvJpyNJw0CC5msSJ9hPXua/uie+5BvFVOU6v6k/Kd2vyc3zVfqqTeE6M5I/iPeOcpzt5pHtXc9tHV9/lEl6L5e7VPsW7XOKu+O7gTdx2HhQnx0/FKd47eeRnwqN454k7V5jzfNZT9+Q7eUd1m2vnT+uD05feXV13n+ImR8Wz1Tbr7Hqyw4m0XllP8dd555+JeltpAM5LGUSNUfk7zaJryt9tcDto6pr4qFpUI2lXuam288HxVHxpNV433jg9SrPj6OJUjeZ97rW6ml66vrp7hU26Gh8dB9cr0kK4CtP1iOIVbqrbYDc4zqdUg7i0OCq/wXb+kZeupqqrcFKPCTP1N9XY6Zvjnq4njsJ1GKmXba7rY+M9+UG1lXeER5qvrg/vhvTgckLTsKWc87mKPe/TQKmcJsYNljtXnJUGNyw0MI2nSpeqNXPVO+lT5yo+8U16lQ7CUfwc1waHvHEYqm7LZ+7v+pN61/Zx7re5ibvCdbWas1QnaWn8dx66nrgak7e6dnvkq+LU7LuYhm/yXNWk8x1M5xdhpH6qWKWb6rp88pN8Jz7O27aO0uR4OOxHa888p99xSnza9RTfiTr/ty/OxLl2hrg1WGGk/GY4aajc2j0jD5Qeh0teNNeqfxM/7e3Uafro/Jj1KK/xZfJIvXCam/44PVTb8VV1VAx5RDgJK83EFQ2uDvnr8lOOq9H0izS1c0MYpCPxI17uXXnhuDsc4uZqULzziOpNjo1O8kXlp3rTK1ff6XG5O/gptsVKXqfrRn96V1zeYz3FD5Z//Pjx/unTpzgQahCaZjWraeKs6bg2HFotbmDoXOlKHJt3h5sGdIfXLh+q/wgXxamtNXtCfXQ5qr7j2+A4nckjwpvnDoe8TVwaXHev4mftxgvno8KiXid8wlU6SL/DJc3U68ZXp89xIK6OS8Jz3BwvtU89I54KN8Wl96amO6PYdO44N742/VOYdJ98VnrUu9H80A+WP92HKGeguj+vGXPec7Fzj/ATJ4VBjXdnqn47uA6H6ri6jn+rt9Hv4pRm8kthN1oaneTnrtZUm3xQOKSXclpv5jn1Xekifu5F2pKPTjvxV/mkx/Vgp7Z7pzh1nWImt8Yjh+P6M7knf5xeheP67e6TDpffzkLiS3VULHlM2tpeJJ2758Rr5pO+nZ7Q/Q6/4OvX/8s21+JBu2pS2/Amzg2wi2vqJh5ucFydpF3hku+E2eps/VaYjkt6d3xnnRbH8VFYaU9hUQ/UNWndjZnnrU8uTnFOmsiDRh+9K/5Ot6pL9Wc+1XQ1EvcZp7AavWlP4dN9OqP481L81Ur6Uy75lTg6bk2vSIvrubp3Gsn/JqfR7bgnP1Ud10e33DlpJv5t3a3V/C/Fa61ft9b6G2utf7zW+t/XWj+21voNa62fXmv93Ov7r3+NPdZaf36t9d211j9aa/22Ar/+354X/O/Nt/E/QLs9dz/r0GviEifik3iofPVSmpyvKm7HS7omv5pekqYUq/Re6YvjuOMJ9cr5RfzSHnlC89741/SLvKMZaOaZzmnWSJfj2PCiZyX1ofWhmddm9navabaaZ5x4txzpuXLPLHmdeKbnTPFu61PPaT/5k2YnzVXrmft6kPrluKRZcrUJK3FMz/Ja6zvN5yD3+rC69efWWn/7fr//oeM4fsVa61evtf7kWutn7vf7nzmO4yfWWj+x1vrja63ft9b60dfX71hr/cXXd7teXl6+d32DP5mo+/P7eX0aAF4AAAacSURBVKm4hKFw3LqJT7OKu+Po6p3zEgZpUO8K02G4ONJy1ecdvVf8Trycb+psx7e2F8TNeaQWcVP100px5E3qh+uxuiePZq3Uj6afjrPT1fZwLofjNNAiroTZ8qU410PySGE3/XP1Fe/Uo9ZTh0OxSp+q7XQpvOTzxFf9T7muVsOvWc6HyV/dOz2pT8mTXQ3ft4rvEv3atdb/uV5/fuq0/7NrrZfX65e11s++Xv/ltdYfUXH0nahV/qlhhU+6N/gUSvkpfr67c8VB5TScHV+nnTx0GIkXxSdtqa8Oi3whzB3PU17qbcppZsFhpde/be/uQqQq4ziOf39kaZnkW4WkYEtiepGrRChGlL0gEl0ZFEESC96IGASVBEF3dZMWRCC93Uhv9qJIYKJ20c2a5ntWakia1mapQUFk/bt4nrVhc2eOs2fO7MjvA4eZ88yzyzO/c+b4uOfM/9QbZ6MxNNo3ioy53mej3ngGe14ko0bvtch+V2/frfd5a7SfXcw2qde30ee0yH7R6PNUZD+u997qba+i+0Mz76XRZ+1i98ci2+1ifkfRbV1vW9b7nDazvxf53Y22S6Pt3eg9DrZ9imRUL9fB9ulGYx1kGwzpL1ENLyyX1A2sAb4CZgE7gRXADxExtqbf6YgYJ2kj8HxEfJ7btwBPRcSOAb93KbA0r04HfgFO1R2MlWEizrkqzroazrk6zro6zroa0yNiTLM/PKJgnznA8ojolfQS6dTdYHSBtv/N1CJiDWlyln5I2jGUK+StGOdcHWddDedcHWddHWddDUk7GvcaXJFv5x0HjkdEb15fR5pU/SRpUh7EJKCvpv+Ump+fDJwYyiDNzMzMhpuGk6iI+BE4Jml6brqbdGpvA7Akty0B1ufnG4BHlcwFzkbESczMzMwuIUVO5wEsB9bmb+Z9BzxGmoC9J6kH+B54MPf9BFhEKnHwR+5bxJrGXawEzrk6zroazrk6zro6zroaQ8p5WFQsNzMzM+s0w6ZiuZmZmVknafskStJCSd9IOpyLdtoQSHpDUp+k/TVt4yVtlnQoP47L7ZL0cs5+r6Q57Rt5Z5E0RdI2SQclHZC0Irc765JJGiVpu6Q9OevncvuNknpz1u/myw2QNDKvH86vT23n+DuNpMsk7crlapxzi0g6KmmfpN393xDz8aN8ksZKWifp63y8nldmzm2dREm6DHiFVOV8JvCwpJntHNMl4C1g4YC2p0nV5acBW/ivREVtdfmlpOryVsw54ImImAHMBZblfddZl+9PYEFEzAK6gYX5SysvAKty1qeBnty/BzgdETcBq3I/K24F6fZe/Zxz69wVEd01pQx8/Chf/x1XbibVujxImTkPpVLnUBfSPfg21ayvBFa2c0yXwgJMBfbXrJdWXd7LoJmvB+511i3P+SrgS9KtpE4BI3L7+WMJsAmYl5+PyP3UjvF22kIqSbMFWABsJNX9c86tyfooMHFAm48f5Wbc8juutPt03g3AsZr147nNynV95DIT+fG63O78S5BPY8wGenHWLZFPMe0m1aPbDBwBzkTEudylNs/zWefXzwITqh1xx1oNPAn8k9cn4JxbJYBPJe1UuoMH+PhRti7gZ+DNfIr6NUmjKTHndk+iClU3t5Zx/kMk6WrgA+DxiPitXtcLtDnrgiLi74joJv2l5DZgxoW65Udn3QRJ9wN9EbGztvkCXZ1zOeZHxBzSKaRlku6o09dZN6f/jiuvRsRs4HdKuONKrXZPolzdvBquLt8Cki4nTaDWRsSHudlZt1BEnAE+I12HNlZSf6272jzPZ51fvwb4tdqRdqT5wAOSjgLvkE7prcY5t0REnMiPfcBHpP8c+PhRrpbfcaXdk6gvgGn52x9XAA+RKp5buVxdvmSSBLwOHIyIF2tectYlk3StpLH5+ZXAPaSLQ7cBi3O3gVn3b4PFwNbIFzjY4CJiZURMjoippGPx1oh4BOdcOkmjJY3pfw7cB+zHx49SRRV3XBkGF34tAr4lXePwTLvH0+kL8DZwEviLNKvuIV2nsAU4lB/H574ifTvyCLAPuLXd4++UBbid9GfevcDuvCxy1i3J+hZgV856P/Bsbu8CtpPujvA+MDK3j8rrh/PrXe1+D522AHcCG51zy/LtAvbk5UD/v30+frQk625gRz5+fAyMKzNnVyw3MzMza0K7T+eZmZmZdSRPoszMzMya4EmUmZmZWRM8iTIzMzNrgidRZmZmZk3wJMrMzMysCZ5EmZmZmTXBkygzMzOzJvwL8SU8U6NkF2QAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 864x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "noise_img = white_noise+img\n",
    "display_img(noise_img)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 146,
   "metadata": {},
   "outputs": [],
   "source": [
    "opening = cv2.morphologyEx(noise_img, cv2.MORPH_OPEN, kernel)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 147,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 864x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "display_img(opening)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Closing\n",
    " Useful in removing noise from foreground objects, such as black dots on top of the white text."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "img = load_img()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "black_noise = np.random.randint(low=0,high=2,size=(600,600))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[0, 1, 1, ..., 0, 0, 0],\n",
       "       [0, 1, 0, ..., 0, 1, 1],\n",
       "       [0, 0, 0, ..., 0, 1, 1],\n",
       "       ...,\n",
       "       [0, 0, 1, ..., 1, 1, 1],\n",
       "       [0, 1, 1, ..., 1, 1, 0],\n",
       "       [1, 1, 1, ..., 1, 1, 0]])"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "black_noise"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "black_noise= black_noise * -255"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "black_noise_img = img + black_noise"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[   0., -255., -255., ...,    0.,    0.,    0.],\n",
       "       [   0., -255.,    0., ...,    0., -255., -255.],\n",
       "       [   0.,    0.,    0., ...,    0., -255., -255.],\n",
       "       ...,\n",
       "       [   0.,    0., -255., ..., -255., -255., -255.],\n",
       "       [   0., -255., -255., ..., -255., -255.,    0.],\n",
       "       [-255., -255., -255., ..., -255., -255.,    0.]])"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "black_noise_img"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [],
   "source": [
    "black_noise_img[black_noise_img==-255] = 0"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "display_img(black_noise_img)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [],
   "source": [
    "closing = cv2.morphologyEx(black_noise_img, cv2.MORPH_CLOSE, kernel)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 864x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "display_img(closing)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Morphological Gradient\n",
    "\n",
    "Difference between dilation and erosion of an image."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 864x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "img = load_img()\n",
    "display_img(img)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [],
   "source": [
    "gradient = cv2.morphologyEx(img,cv2.MORPH_GRADIENT,kernel)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "display_img(gradient)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}