12_erode&dilate腐蚀与膨胀.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 腐蚀与膨胀"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 1. 腐蚀操作(erode函数)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 1.1 汉字腐蚀(例) "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import cv2 #opencv的缩写为cv2\n",
    "import matplotlib.pyplot as plt # matplotlib库用于绘图展示\n",
    "import numpy as np   # numpy数值计算工具包\n",
    "\n",
    "# 魔法指令，直接展示图，Jupyter notebook特有\n",
    "%matplotlib inline   "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 腐蚀操作通常是拿二值图像做腐蚀操作\n",
    "\n",
    "img = cv2.imread('01_Picture/05_Dige.png')\n",
    "cv2.imshow('img',img)\n",
    "cv2.waitKey(0)\n",
    "cv2.destroyAllWindows()"
   ]
  },
  {
   "attachments": {
    "image.png": {
     "image/png": 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6SJKE1tZWjIyMKFpPTEwMvve97+G9997DiRMnFK3l84qLi/GNb3wD69atw549e/Duu++ivr7eL0Mp0WxwZI+IaI5OnTqFyspK6PV6aLVavxzdy8jIwNq1a/Hyyy9jcHBQ6XIQERGBr33ta6iqqsKFCxeULmdKSUkJdu7ciY0bN+KVV17BSy+9hKqqqkW3by/RlXBkj4hoHvr7+9HS0oKysjJUVlZifHxc6ZIuUVRUhO3bt+ORRx5BV1eX0uVArVYjMTERo6OjigcprVaL3NxcGAwG7Ny5E2vXrsWJEyfw05/+lHP0KKAw7BERzcPHH38MURTxu9/9Drt27UJNTY3SJV0iLCwMcXFxaGhoUHwfV09fQn+Y/yaKIlJTU7Fnzx7k5ORAEAS88MIL+O53v6t0aURex7BHRDQPo6Oj6OnpQU5ODnQ6ndLl+LWNGzfi//2//we73Q63261oLevXr8fjjz+O1NRUfOc738Hp06cVn89ItFAY9oiI5sHtdsPpdEKn0/nlnD1/EhcXh8TERDz88MNobGxUrI5t27Zh165diI2NxY9+9CO899576O/vV6weooWmBib7HflLo026Or1ej9DQUKjVajidToyOjnKVGJEfkGUZdrsdarUaoijy9fQqtFotAOCVV15RdE5cWVkZkpOT8cILL+Cll16C0+lUrBaihSbLMkf2FgOVSoWEhATk5OQgNTUVer0eFosFjY2NaGpqQl9fH0MfkYImJiZw4sQJpKamoqWlBT09PUqX5HcSExORnJys6LxBz/ZnmZmZaGpqwm9+8xvFaiHyJYY9PycIAsLCwvCtb30LX/va15CTkzP1WH19PV544QU8++yzaGlpUbBKoqWtvb0dDz/8MH7+85/D7Xb77RZgSrrnnntw3333obu7W5Hrq1QqRERE4Mc//jHWrVuHAwcOKFIHkRIY9vycXq/Hj3/8Y2zfvh2pqamXPJaSkoKdO3dCr9fjpz/9KUf3iBRit9tRV1eH2NhYREREKF2OXzKZTDh9+jR+9KMf+fy1Sq1WIy0tDY899hg+/PBD7NmzB21tbT6tgUhJDHt+TK/XIzs7G1u2bEFaWtrUfBcPrVaLlJQUlJeXo7i4GGfOnGFvKCIFyLIMm80Gt9uN7du3o6+vD3/961+VLsuvaDQaWCwWNDc3+/S6N954I6677jrodDqcOnUKH3/8Mdra2vhaSUsKd9DwYyEhISgsLERiYuJVWzrodDqkp6djx44dCA8P52pAIgW9/PLLCA4Oxj333IMdO3YgMTERMTExbMniY4IgICgoCFu3bsXdd9+NVatWobOzE++++y5aW1sZ9GjJ4cieHwsODkZ6ejo0Gs01jzOZTLjlllvwxhtvYGxsDDabzUcVEtHF/vCHPyAxMRF333030tLS8Pzzz2NiYgItLS1oampCb2/vkgwamZmZiIyM9MmqV0EQEBwcjLy8PNx8880wGo1499138atf/WrBr03kr9TDw8OQJGmqVYDFYlG4JPJQqVQICQmZdrROr9cjPT0dGzduRH9/P1pbW31UIRFdLDQ0FENDQzCbzSgvL0d5eTkAoLm5Ga+99hr++Mc/KtpfTik//elPsX79erz11lsLeh1RFKHT6ZCdnY2f//zn2Lt3L5544gkMDAws6HWJ/JnFYoG6rq4OwD967bGxpP+QJGnGE5m1Wi3uuusudHZ2YmxsDMPDwwtcHRF93iOPPILbb78dmZmZl3w/MTERt99+OwwGA37wgx/A4XD4xZZhvpKcnIw///nP2LNnz4Je595778Wdd94Jt9uNPXv24Pjx43wtpCWvr68P6oyMDMiyPBX2ltILkL+z2Wxoa2ub0a0PlUqFZcuW4d5774XT6cRf//pXxbcjIloqgoKCkJSUhC984QvIzs6+bI6e5/GtW7fi8ccfxzvvvIMLFy5gbGxMoYp9S6vVYmBgAF1dXV4/d3R0NB588EEkJSVh+fLlGBwcxNNPP41PPvkEIyMjfB2kJS86Ohrqi28RcnK/fzGbzaipqcHw8DAiIyOvOXdPFEWEhYVhw4YNqKurw4kTJ9DR0eHDaomWLr1ej8LCQiQlJSE4OPiKxwQFBSElJQX3338/UlJScOrUKTQ1NWFoaGjW17PZbBgbG8PIyMiS3s81NTUVt9xyC3bt2oVTp07h+PHjqKio4Epoos9RA/8IeYIgMPD5EYvFggsXLuD06dOIiopCTEzMtM+JiIhAdnY2cnJyGPaIfESr1SIrK+uy9khXOi49PR3p6em48cYbUVtbi6ampllfb2xsDN3d3WhubsaFCxdgNpuvOILldDoRGho66/N7k0qlumReuDcVFxfjwQcfREdHB375y1+iurra69cgWuwEQYBaFMWpW7cMe/5FlmWYzWY8//zzSElJQXR09Ix+P5GRkUhOTvZBhUQETI6sh4SEQKVSzfg5CQkJSEhIwHXXXTfn605MTKC6uhoVFRUYHR297PGhoSEUFRUBmGws7Os9e1UqFcLCwmC32+FyuSCK3uv2JQgCjEYjBEHArbfeCqvVOuvze6YwEQUyQRDYesXfuVwuVFRUoK6uDgUFBQgLC5v2OWlpaVi1ahVefPFF7qpB5AOyLCuy6MJz+zgjI+OKI3tutxs6nQ6iKGLv3r04ffo0zGazz+oLDw/HDTfcgNHRUSQlJWH37t1eO3dxcTHWr18Pg8GAr3/967Nu62K1WtHb24uWlha0trbCarV6rTYif8M5e35OlmUMDw/jjTfeQEREBLZu3QqDwXDN50RFRWHTpk34wQ9+gNdffx1tbW3svUe0gBwOhyLNekVRhMFgmPY1weVy4YYbbsCKFSt8+gFQq9UiNTUVfX19yM7Ohsvl8tq5TSYToqOj4XK58PWvf33WQdvpdMJisWB0dBTnz5/H3//+d5w8efKKI6REi91lYY+Bz/9IkoSjR48iNjYWiYmJWLVq1TWP9/SZeuCBB6DT6bBv3z5cuHCBtyuIFojVasXZs2cxMDCA5ORkBAUFKV3SJdRqNUwmE0wmkyLXT09PX7Bza7VarFixYl7nKC8vR0JCAoKCgnDgwAGf3+4mWkiCIED0BDwGPf/W39+PkydPoqKiYkbH6/V65OTk4Jvf/CZKS0sREhKywBUSLV12ux11dXU4deoUuru7vTqCRQsvPj4e27dvxy233AKj0ah0OUReJ14c8hj4/NvQ0BDa29tnPKlYFEUkJSWhvLz8siavROQ9njl7f/jDH/Dee+9hbGxsqm8pR9QXh8jISOTl5WHlypWzWmhD5O84srfI9PT0oLq6Gj09PbNqFHr99ddj7dq1UKu5HodoITU2NuKXv/wlvvOd7+DZZ5/FwMAAR/kWkbCwMKSlpXl11TCRP5jqs3fx6B75J5vNhvPnz+Opp57CAw88gISEhGs2WvbwrM796KOPcPbsWR9USrQ02Ww2NDU1YXh4GI2NjTh69ChWr14Nk8mE1NRU5OXlQavV8nXWT7lcLlitVo7GUkARBGFygcbFffbIf8myjK6uLuzbtw9GoxHbt2+f0adQg8GA4uJibNq0CefOneP2QUQLyO12Y2BgAIODg6iurkZ1dTWio6ORnp6OsrIy5Ofnz+m8giBAFEVkZGQgNDSUtxq9TJKkqZDOBRoUaHhfb5Gx2Wyoq6vDU089BYPBgG3btiE2NnbaF/6srCx88YtfxOHDh9HS0oKJiQm+oBEtIFmWYbVacfz4cQCTq0b379+P6667bs4frDUaDbZu3Yrc3FyEh4df8Ri1Wg2j0Qi1Ws3bkTMkSRJ6e3tx7tw5nD9/nq+NFHDUF9++lWWZo3uLgNvtRk1NDX7/+9/DZrPh3nvvnbbZcnh4ODZv3ownn3wS//Zv/4bKysolswk7kT+w2+1oamqa0/ZoF3vppZewZcsWFBQUXPHxqKgo3HbbbYiJiZnavs0fb0tON0/cU7Mvarfb7XjnnXfw0ksvsc8eBRzuoLHI1dXVYd++fdBoNDPqTB8SEoLS0lL87Gc/w7//+7/j8OHDvKVLtMiMjo7ivffew9GjR6/4eFBQEF588UVs2bIFt9xyC3Q63YxbNvmCWq1GZGQkNm3ahKioqKseNzExgWPHjqGjo2PBmlVLkoSJiQlUVFTgzJkz3E+cApaaCzMWL6vVipqaGhw+fBhf+cpXEBERcc3buZ59KletWoWysjI0Njaira3NhxUT0Xy53W6MjIxc9XFBENDT04P+/n5UVlZCrVajq6vLhxVeW2hoKDZv3ozS0tJrhj273Y7a2lq89dZb6O/vX5BaJEmC0+lEV1cXzGYzV05TwFIDlw6T++NwP13dyMgIampqcOjQIdxwww0IDQ295vGCICAsLAwbNmxAQ0MDBgcHMTEx4aNqiWiheXr+NTY2orGxUelyLhMdHY3S0tJp58W53e6prcz4oZRo7mRZBmfvLnKSJKGtrQ0vvPAChoaGZnxbdvXq1di2bRuWL1/OUV0i8hlRFBEcHMzFI0Q+xDl7AWB4eBhHjhxBS0sLoqOjERwcPG2AM5lMuO2226DRaFBZWQmHw8FRXSIiogDEj1YBQJZljI6O4ne/+x2qqqpmPLoXHh6O3NxcrF69GjqdboGrJCIiIiUw7AUIh8OBI0eO4JVXXsGnn346o+d4+nEtW7YMQUFBC1whERERKeGyvXE5f2txkmUZ/f39OHDgAD755BNYLJYZPU+j0SAyMpLd+ImIiAKQIAgc2Qs0DQ0NOHHiBGpra+F0Oqedh+dZucf5ekRERIGJYS/AuFwufPDBB9izZ8+MVufa7Xb09PSwvxQREVGAUntGdCRJ4uhOgOjv78fBgwfhdrvxL//yL0hPT5/aNuliLpcLAwMDqKiogM1mU6BSIroSrVaLlJQUpKamIjY2FgaDYeqxgYEBdHR0oLW1Fb29vQpWSUSLBVuvBCCn04nOzk4cOHAAoaGhuPvuu7F8+fJLVty6XC6cPn0ab775Jrq6ujiyR+RDJpMJsbGxCAkJgcPhQG9v71RwKygowLZt27By5UpEREQgJCQEGo1m6rkWiwVjY2Po6OhAbW0tmpqaMDIygv7+fvT29mJ4eFipH4uI/BTDXoDybAH02muvwel0YtOmTUhJSYFGo4HD4UBnZycOHz6MAwcOwGq1Kl0uUcATRRFGoxFlZWUoKipCcnLyJWHv/PnzcLlcKC0txVe+8hVkZmZec8Gc2WxGe3v7JWGvpaUFNTU1OHXqFMxmM/e+JiIADHsBTZIktLe34+mnn8bRo0dRWFgIvV4Pi8WCqqoqNDc3z3jVLhHNj9FoxPr16/HYY4+hqKjosq0NGxoaYLVaERkZicTExGnPFxoaivz8fOTn5099b2hoCCdPnsTvf/97nD17FkNDQ7DZbHA6nV7/eYho8WDYWwJsNhuqqqpQVVWldClES9bq1avxk5/8BKtWrbri45mZmfO+htFoxKZNm5CcnIw///nPOH78OOrq6tDe3j7vcxPR4sWwR0S0wBISElBcXDw1Cnel27Pe6HEqCAKCgoKQlpaGhx56CA888AC6u7vxySef4E9/+hM6OjrgcDjmfR0iWlwY9oiIFlhsbCySk5MvWVW7UERRhF6vR1JSEgAgOTkZcXFxCA4OxsGDB9HY2MiFHERLDMMeEdECU6vVl6yo9SW9Xo+MjAzceeedSE5ORnNzM1pbW7mQg2gJYdgjIlpgQ0ND6Ovrg9PphFqt9vm2lBqNBnFxcbjtttum6vEs5Dh+/DgGBwcZ+IgCmAhMrtokIqKF0draivPnz6O/v1/pUgD8YyHHr371K6xZs+aylcFEFFi4XRoR0QJzuVw4c+YM9u3bN6OdilwuF4aGhvD6669j7969OHjwIEZGRry2y9HFCzkeffRRbNq0CSqVyivnJiL/w9u4REQ+0Nraig8//BC7du2C0WiEWn31l1/PIosLFy7gyJEjkCQJhYWFKCsrg16vhyiKiI2NxbJly2AwGOZ0W9hzjZUrV6K8vBzV1dVoasx4zgAAACAASURBVGqaz49IRH6KYY+IyAfGxsZw7tw5vP/++7jhhhsQGRl51WM9QUwQBLS0tODChQs4efIkKisrodPpoFKpkJCQgLKyMhQWFiI7OxthYWFzGp0LDQ1FeXk5zpw5g5aWFk7rIQpADHt+RqvVTr1gu1yuJdsTS6PRQKfTISgoSLFVjB4RERHQarXTHqfT6WA0GhEXF+eDqgBZluFyuWC322G327lLgp+TZRm9vb149tlnUVBQgPDw8GnDWVRUFAwGA9xuNwYGBvDee+9NPaZWq/HWW29h69atuPXWW5GXl4eYmBiEhoZCpVLNarSvpKQEGzZswN/+9je2ZCEKQAx7fkSlUiEjIwMRERGQJAn9/f1L9rZKfHw8cnJykJGR4bPwdDV5eXlITk6e9ri0tDTcdNNNyM7O9kFVk+Ghu7sbjY2NqKurQ2dnp0+uS3M3Pj6ODz/8EE1NTUhJSUFYWNicz+VyudDR0YHnnnsOb7/9NrZs2YLbb78d119/PaKiomZ1rsjISOTl5aG4uBiHDh3y2txAIvIP6j/v3w9ZkiBDBmQZktWqdE1LjkajQX5+Pr71rW+hrKxsqvHq8PAwqqqqsHfvXtTX1wf8PrYqlQoRERH49re/jc2bNyM5ORlarVbxkT29Xj+jZrhpaWmIiYnBF77wBR9UNcnpdMJms6GzsxPV1dWoqamZemxiYgK9vb1oa2tDW1vbkh0l9ieyLMNut+Ojjz5CRkYGCgsLvXLO4eFh/P3vf0dTUxMqKyvxz//8zzAajTP+tyMIAsLDw5GWlobDhw8z7BEFGPW927bB7XZDlmXIsoy6ujo8r3RVS0xJSQl27dqFHTt2IC4ubmritt1uR0pKCrRaLf74xz+iqqoqoOfTJCQk4L777sMdd9yBrKwsn+w24E16vR56vV6Ra6empiInJwfr16+f+p7D4cD4+DiGh4dx7tw5vPfeezh79izMZrMiNdIkWZYxMjICqxc/WHtW71osFoyNjWFkZARlZWVITU1Fenr6jPbdVavVU/MEiSiwqKfCgxOQVfw052thYWFYu3YtduzYMbW9kYdWq0VSUhJ27NiB3t5eREREzHg+jdvtxsTEBMbGxjA6Our3ozp6vR55eXm47777kJaWhqCgIKVLWlSCg4ORkpKClJSUyx6TZRkdHR2Ij4/Hvn37plZ3UuCx2Wyor69He3s7qqqqkJaWhuuvv35quzQGOaKlSf2/7+4HrEM4PGzE9+76IthpybdSUlKQn59/1TlhoijCZDLh3nvvRUlJCdra2mZ0Xrvdjr6+PrS2tqKurg69vb2w2+1XPd7pdE5N9He5XHP6WeYjKioK+fn5yMnJ8fm1A50gCEhOTsZXv/pVmM1mnD59GiMjI0qXRQtElmVYrVZUVFTg5MmTcDqd2LBhA3Jzcxn2iJYo9a6iUDzxVj+2bFyPZUFAvdIVLTEpKSkzWoCQkpIyo0UCHp45N7Iso76+HqdOnUJ9/ZV/u5Ikoaura2qif3d394yv4y2RkZGz+vlo9qKjo1FQUIDly5fjyJEjSpdDPuB2u9Hc3IxDhw7xgxTREqZ+4u02FH3xq7g5RcdbOwrQ6/UzaushCMKcP5VPt3BAluWpif7t7e04cuQInn/+eXR3d/tslG9iYgJDQ0M+udZSJQgCIiIirnirlwIbF1wQLW3qrTvuRnmMfNGLwaCiBS01vngRns3CgdTUVMTFxcFgMOC5555Da2srbDab12sKCgqCyWSCVquFy+WC0+lEXV0dhoaGZtR/jOYmISEBK1aswL59+xS5XU+zk5ubi9jYWIiiyA/jRDRn6tUm4JK80d+nWDFL0djYGMbHx5UuY4rBYMCyZcsQFhaGiYkJ/N///R/q6uq8FvhUKhVSU1OxcuVKFBQUQKfTwel0oqenB5Ik4fDhw1i/fv2020nR3JhMJhQXFyMlJQUdHR1+v3BnqcvLy0Nubi4qKirQ39+vdDlEtEhd9m7a389bab7U0dGB7u5uOJ1OxfvJeWi1WqSkpODBBx8EALz66quoq6vzyihkYmIibr31VjzwwANYvnz51Pf7+/vx6aef4uDBg9BoNMjKykJYWBhEUZz3NefDMyp6rd+N589lfHwcVqvVJ6O1Go0G4eHhEEVxVrf3DQYDUlNTsWrVKgwODjLs+bno6Gjk5+cjPT2dYY+I5kx9ftCNZZGfvaFKDWgdUfbNdalpamrChQsXMDQ0hNjYWKXLmSKKIpKSkrB79244HA48+eSTXtmO65577sH9999/2S4T0dHRWL9+PSIjI/Hwww8jOTkZOTk50Ol0877mXKlUKpSUlGDlypXT/m7cbjc+/vhjnD171qv9065WV2JiInbs2DG1NdZs6PV65OTk4MMPP1ygCsmbTCaTX702ENHio/7Vq3uh0URgZZwJa2JtaBBmt80OzY/T6cQHH3wAk8mEhx56yG/mq3lGi+Li4rB8+XLk5+fj9OnTcz6fKIrIyMhAaWkpUlNTLxuxEwQBer0eGRkZU7etPv74Y0VH9tRqNe655x6kpKRc883W7Xbj7bffxv/8z/+gsrJywedWCYKA4OBg7Nu3D1u3bkV4ePhUn72LmypfTXh4OK6//nq8+uqrGBgY4FwwPzefxVlERLIsQ/1Yngn/N5aK268rxsj7T0MbNf/te2jmZFlGc3MzXn75ZQwMDGDVqlVYvXo1kpOTFR3V8ggKCkJ8fDzS0tLmHfZyc3MRHx9/1Z9LpVLBYDAgKysLn3zyCbq6uuZ8PW/QaDQYGRmZdkTTs0dta2vrjPsgzpcoiujo6EBnZyd0Oh20Wi2Ki4uxbNkyhIeHX3O+Y3BwMAoKClBQUIC+vj6ugiYiCnDqvE23YZksQ3Kdx4H2IOQUReA9pataYiYmJlBTU4PW1lZUVlaitrYWpaWlSEpKmvU8PlEUERUVBZPJ5LU5gHq9HhEREfM6hyAIiI+PR3Bw8LTHGY1Gvwi6s+HZctBXJEnCxMQEzpw5A2Dy9z48PIxTp05h7dq1CA0Nvepz1Wo1jEYjCgoKcObMGYY9Bczm74un2TkR0Vz94+N/XQM+0qbgn8IVrGYJkyQJY2NjOHz4MI4fP478/HwsX7582nD0eWq1GgUFBVi7du2083x0Oh0MBoNPVr16btPO5BY1b1nNniRJGBgYwIEDB1BYWHjNsAdM/hl7WuyQ701MTMxoDqzn98rFGUQ0H1Pv8rVNnYhOvRnh8J82IEuVzWZDZWXlnG+bhoSEIC8vDzfffPM1jysqKsKGDRsQGRk5p+ssFI1Go/gq3MXIsy8qR4H8X1tb24y2rHM6nWhoaEBjY6MPqiKiQDUZ9qRafNoVjA03JQDmOoVLImByHpjb7Z7Tc81mM86ePYvOzs5rHrdmzRoIgoAvf/nLc7rObDkcjmkXA6jVamzevBlvvfUWqqur5/xnsBSNj4/j008/RXt7O2JjY2c9Kky+Mz4+jtHRUVgsliv+niRJgtPpxDPPPINDhw7NqxenWq3m3wWiJW4y7NU14IguBT+NB8xmhSuiefPM55qYmLjmcUVFRTPeWcMbNbW3t0/7piWKIlJSUrBs2TKcOnVK0UUagiAgOTl52lui/sLlcmFgYADHjx9HcnIy0tPTlS6JLqJSqRAXF4ft27ejtLQUK1euvOIUClmWYbFYcOHCBTQ1NcHtdiM4OBjmWb44a7VarF27Fjt27MDq1as5Wk60hKn/9939GB6YvIUbD4BZb2kIDQ1FZmamzzZHlyQJdXV16O/vv2YDac/cvqysLCQmJioW9tRqNUwmE4qKihAVtXjaEblcLjQ1NWF0dFTpUuhzkpKScNNNN+HBBx9Ednb2VUfbPAs3ZFnGypUrERkZifb29qmvi0mSBIvFgrGxMYyNjV1yC3/NmjW45557cOONNyIpKWnhfjAi8nvqXdcl4o/PdmNNRgIAbpa9FGi1WuTn56OkpAQpKSk+uaYkSWhtbUVzc/OMGkhHRUXBaDT6pLYrMRgMKCwsRF5eHsLDuWqJ5kej0aCsrAzf+c53kJ+ff81FSKIoIiQkBKtWrcKqVasATC7oaG1txaFDhy5Zxet0OtHf34/W1lbU1dWhu7t7KvB94xvfwBe/+EU2ZCYiqJ0dNqRt/DJuSAQkiWEv0ImiiLS0NOzcuRObNm3y6bWdTidOnjyJFStW+P0bkMFgmNq7l2i+EhISUFxcjLy8vDk9Pzg4GMuWLbtsJN4T/CRJQnNzMyorK3Hu3DmIoojNmzfDZDLNu3YiWvzUmoxyfFGSfNojjHxPo9Fg2bJl+MY3voHy8nKkpaXNeBXuxMQEBgcHvVKHw+GAy+Wa9riCggIsW7YM77///oyO9zaVSjXjvXllWcbAwAAsFosPKqPFKDY2FvHx8XOeN+fZReNaz09LS5vadlAQBJhMJrYxIiIAF/fZo4BWXFyMe+65B7fddhvi4+Nn3HDZ7Xajp6cHDQ0NXqnD5XLNKLwlJSWhsLAQWVlZqK2t9cq1Z0MQBKhUqmnfLCVJgsPhwPnz5zE8POyj6mixcblcXtlb+lp0Oh1Hoonoirg8awkIDw/H+vXrcfvttyMlJWVWO2s0Njbi9OnTl00Mn6uxsbFpVwkDk70C09LSkJ2d7ZXrLhSLxYLq6mqcP3+eiyLoqvr6+tDZ2QmLxeK3d1FcLpdf10dEc8ewF6BEUYROp0NYWBhKSkqwevXqWS3GkGUZkiTh/fffx+HDh2cU0Gais7MT3d3dMxrdMxgMfr8Sdnh4GAcPHkR3d/eCj9zQ4tXd3Y3q6mpcuHABLpfL7wKVLMswm83o6uryu9qIaP4Y9gJUcHAw8vLycOONN+J73/setm7dOutzOJ1OVFZWoq7Oe422m5ubUVtbi4GBAa+dU0myLMPhcChdBvk5t9uNY8eO4cknn8TAwIDffTCQJAk9PT2oqqpi2CMKQJyzF2B0Oh02b96MO++8EyUlJdDr9YiJiZlVY2BJkjA+Po6nn34ax44d89qoHjAZIOvr61FRUYEdO3Z47bxE/m5wcBAHDhxAe3s7Nm/ejMTEROTm5qK0tBR6vV7RxRSNjY04e/Ys550SBSiGvQBz/fXX4+6778Z1112HuLi4WT/f7Xajq6sLb731Fvbt24fm5mavblkmyzImJiZm9KYSEhKCxMRExMfHo7+/X5FVuUTe4nQ60dfXh+HhYXR3dyMsLAyJiYlYuXIlVq1adUnY86wGLygoQEhIyILX1tjYiNraWv4bIwpQ6ou7tXu+aPHwzMsLCwtDQkICdu7cia1bt86pv5ZnS7O//e1veOaZZ3D27NlLOvL7WmxsLDZu3Ai3243z58+jp6cHVqv1kmNsNhvMZvPUPqNE/sxz29+zwlyj0eD48eP49NNPLwl7arUa4eHhWLduHVJTUxEWFnbJwipRFBEeHo74+Hio1ep5jQq63W40NDSgvr5+7j8YEfktWZY5srdYaTQaREREIC0tDTk5OcjMzMS6detQUlKCmJiYWZ3LE/I7Ozvx9ttv4/nnn8fJkycXqPKZi42NxZe+9CVs3boV9fX1OHPmDPr7+y85ZmhoCG1tbWhoaEB7ezvMZjMkSZraSN5ut8PpdPJDDPklp9OJzs5OdHZ2XvHxN954A/n5+UhPT79khE+lUiEnJwcbN25EfHz81PdFUURQUBBCQkKmDYCef/c9PT04f/48WltbvfNDEZHfYdhbhERRRFJSEv7pn/4Jt9xyC3JzcyGKIkRRhEqlmtM5nU4n/vM//xP79u27LFApTRRF5OTkICsr67LQ5lk1bLVa0dHRgf3790/tE9rW1oaamhq0tbVxEQUtSgMDA/joo4/w8ccfXxbegoODkZmZidtuu23qsZCQEGRmZuKmm26aUdhzOBzYu3cvPvjgA4yPjy/Yz0FEymLYW0SMRiOKioqwY8cOrFq1CmlpaYiKippXI1XPYoxnnnkGhw4dwuDgICRJ8mLV8zeT3QOCgoKg0+lw9913w+12w+VywW63Y3x8HJ2dnTh58iS6u7tnfM3IyEgUFxdDq9V640cgmjPPSPXnmc1m1NbW4k9/+tNUsBNFEWFhYXj++edRUFAAk8l0xdcHl8uFgYEBVFRU4MyZM7P6t0FEiw/Dnp8TBAGRkZFYs2YN1qxZgxUrVqCoqGhWu2BcTXNzMyoqKvDpp5/ivffeQ1NT06KdoC2KIvR6PZKSki75vizLyM/PR25u7qyaHmu1WsTGxkKv11/zOJ1Oh+zsbGzZsmXBmiq7XC6Mjo6iv78f/f39nJtIACZDoMViQVtb2yXfF0URTU1NOH36NEJDQ6/4OuF2uzExMYHW1lZYrVa/+4BHRN7FsOendDodTCYTcnNzkZeXh61bt2LVqlWXzM+ZC89tz4aGBrz77rt444038Omnn2J8fDwgX/AFQUBISAjy8/MX5PwhISEoKytDdHT0gi1mcTqdGBkZQXd3N+rr69HW1obh4WFYrdapW9a8TU0ekiTBbDbDbDYrXcoVqVQqxMTEzPvDKhHNHMOenxAEAVqtFkFBQQgODkZSUhLWrVuHu+66CytWrJh2hGkmnE4nxsbGMDg4iBdeeAGvvfYaampqvFD90hUcHIz8/PwFC5Of55mHeP78efT19aGlpQV1dXXo6OjA6OioV9vkEHmbSqVCREQEVq5c6ZOWMkQ0iWHPTxgMBmRnZyMrKwubNm3Cxo0bkZubC41Gc825arPR09ODV155BW+++SZqamrYQHURSkpKQkJCAq6//vqpUdrGxka8+eab+Mtf/uLV3U6IvC0iIgJFRUVYtWrVvOYaE9HsqAGwv56CPDtefPWrX8XKlSsRHByMiIgIhIeHe+3F0Ol04vjx43jppZfw9ttvY2BgABaLRbHbtp4FFDR7nlXXF8vMzMR9992HjRs3orq6Gk6nk7fIyC8ZjUbk5OTMuzcgEc0OR/YUpNVqsW3bNtxxxx3YsmXLnHa8uBa3242Ojg4cOnQIBw4cwNGjR/2il5bZbEZfX5/SZQQMvV6P5ORkxMbGIisrC52dnYiOjla6LKLL6HQ6REZGzuhYt9uN4eFhv9tHmGgxYthTiEajwYYNG3DPPfdg8+bNC/bm7HQ60dXVhZaWFr/pnzcwMIDGxkZMTExAr9df8za1w+HA0NAQhoaGLpuPptfrERsbO6t9fwNZUFAQ4uPjER4ejqCgIKXLIbqMwWBAfHz8tKN6nt6ZFy5cuGzXHCKaPYY9BYiiiIiICHz3u9/Fpk2bZvxJd7ZUKhWysrJw1113QavVwmq1oqqqSvFb9gMDAzh//jyampqQk5NzzV52ZrMZJ06cwNGjRzExMTH1fUEQEBMTgw0bNiAzMxNarXaqobRKpYJOp/PKopbFRhAEGAwGpcsguoxarUZcXBzy8/OnnYdss9nQ2dmJyspKNnsm8gKGPQWEhISgqKgIpaWlMBqNC369lJQU7Ny5EyEhIXj44YcV3e8WmPzU3tPTg3fffRcJCQnXDHvj4+M4ceIEnn/+eQwODl7ymCAIMJlMKCgoQGFh4dSfZVRUFFatWoXS0tIF/TmIaOYSEhJQXFyM/Pz8aUf2mpub8de//hV9fX2c30vkBQx7CjAYDMjKyoJWq/XJJGVRFBEVFYXCwkKsWbMGx48fV/zWiCzLM3oRl2UZbrcbDofjir3kenp6YDabcfbs2alFCWq1GvHx8cjNzUV+fj7CwsJmvY1cSEgIcnJykJOTE7CrBi0WC+dDkc+YTCYkJCTM6N+iy+WC1WpV/C4EUaBg2FOAJEk+f5PVaDRITU3FHXfcgbq6OthstoB4IfU0HB4ZGbnk+21tbbhw4QJOnDgBnU436/Y1cXFx2LFjB5KTk68Z9qxWKzo7O9He3u7136koikhISJi6Te0tkiTB4XCgtrYWQ0NDXjsv0bXMZhW+3W7HyMhIQLxGEfkDhj0FWCwWNDY2YnR0FJGRkVCrffNriIqKwtatW/Hiiy9ibGzskjlwgcbhcKCvr2/Oq35TUlJQWlo67ZuT5zbz3/72N4yNjc3pWlejUqmQkZGB8vJyZGdnIzk5GQaD4ap/XzwtlDx7CV+N1WpFbW0tzpw5s+TCnl6vR1hYGEJCQqad0+lyuTAxMYGRkRFMTEwE5A4zvtTf34/Ozk5YLBbo9fqr/h2VJAkjIyNobm5m2CPyEoY9BYyPj6OmpgZnz55FeHg4oqOjvdY4+Vq0Wi2SkpJQUlKCtra2gA57vmK1WlFTU4O33nprQVY763Q6pKWl4Utf+hJuvPFGZGdnIyws7LK/L54Gy4IgwGg0XvMDxPDwMPbv34+2tjbF52/6iiiKiI6ORlZW1lRwNplM13zOxMQEuru7ceHCBbS2tmJwcBAWiwUOh4O3v+egu7sb1dXVqKurQ35+PjQazWWBT5ZlDA8Po76+HufOnWPAJvISNT85+Z4syxgZGcGvf/1rqNVqbNmyxWftQ0RRRHp6OtuVLBI2mw11dXVobm7Gvn37sHHjRuTl5V12a9nhcMDtdiM2NhZf+9rXrtnKR5ZlOByOJTNqolKpEBISgh/96Ee46aabkJycfMXm1J/nCdCSJKGrqwtvvvkm3n//fTQ0NKChocFH1QcOt9uNEydO4De/+Q3+4z/+AyaT6bIWQU6nE2+//Tb27duH0dFRhSolCjwc2VOIy+VCdXU1fvGLX+DgwYMoLCycdasQlUqFnJwcLF++fMbPFQQBKpWK3esXEUmSYLfb0d/fj/fffx8VFRWXBRVJkhATE4Pbb7+doyGfk5CQgB/+8Ie48cYbp52DeTWpqanYuXMnvvSlL2FoaAg1NTV4/vnnce7cObYGmYXBwUEcPHgQ3d3d2LRpE+Lj46HRaCBJEiwWC06ePInKykrewiXyMoY9BY2Pj6Oqqgrd3d2oqKiYdSNcURSRnJyMlStXoqSkBPn5+YiKimJD3QDldrsxODh4WQsaD0mS4Ha7+SZ5kZCQEOTl5eHWW29FbGzsnP9teKZAJCUlwel0IicnB0ajER9++OFVd6VxuVwYGxvD8PAwent7GQoxOXLX19eHI0eOoKOjA2FhYVCr1VOLhtra2jAyMsJ2K0RexrCnMJfLhc7OTnR2ds7p+VqtFseOHcO6devw1a9+FevWrZt2LhLRUmE0GpGbm4vk5GSvnVOj0SAhIQG33XYbsrKy0NbWdsXjXC4XhoeH0d/fj5aWFrS3t6Ovrw89PT0YGhpasoFGlmXY7XbU1tYqXQrRksGwt8jZ7XY0Nzeju7sbUVFRyM7OZtgj+kxwcDBiYmIW5Nx6vR7l5eUoLy+f9liz2YzGxkYcO3YMR48eRVVVFQYGBq7YO/JiLpcLLpcLDodjyYZDIpo/hj0iClgWiwUDAwNKl4GQkBAUFhZi2bJl2LVrF7q6unDkyJFpF3r09PSgo6MDDQ0NaGlp8VG1RBRoGPaIKGANDAyguroaPT09iIqKmtplxdcEQYBarZ5qiZOamorw8HBYLJZrPs9ut8Nms2FkZAStra2oqqrC2NgY3G73VJDt6elBc3MzbDabL34UIlqEGPaIKGDZbDbU19fj6aefxl133YXk5GS/WMCk1WoRGxs74+OdTieKiopQXFwMq9U6taBhfHwco6OjaG1tRXNzM3p7e2fcO9HlcsFsNmNoaAh9fX1+v4BEr9cjJiYG0dHRCAsL80pwd7vdGBsbw8DAAPr7+9l7lAKWGsDU6j2u4lu8BEFAZGSkV7fVosVDo9EgNDQUBoPBJw26FwtZltHX14dnn30WgiCgrKwMJpNp2v1ZtVotjEbjNfsV+pJGo0FkZCQiIyOv+LjZbEZTUxM6OjpmvO/1lRaQDA4OTjuPUAkGgwFJSUnIy8tDfHw8IiMjvRL2PH8G3d3daGhowPnz51FfX8/QRwGHI3sBQBRFGAwGLF++HEajUelyyIcEQUB4eDiSkpKwYsUKpKen+8XIlT+x2+1oaGjAE088gbKyMuTk5EzblzI8PBxFRUUoLy+HXq9HeHj4FXd88BehoaEoLi5GcXHxnJ7vCYunT5/G6Oio333wT0xMREFBAZYtW7Zg1+jo6MC7776LP/3pTzh16hTcbveCXYvI1xj2AoAn6JWUlDDsLTEGgwEPPPAAdu7cifz8fAQFBflsr+XFxmKx4OjRozh27Ni0oc0TorOysrBhwwbcf//9SE9PD9iR85CQkKkw5W9BD5j8QDvdaOx8JSQkYMeOHYiMjMTXv/51jI2N+eWfBdFc8F0hAISEhCA/Px/BwcG8hbeEqFQq7N69G3fccQcKCgpgMBiULsnveVqZzIRnTlxraytOnTqFbdu24YYbbkBhYeECV+l7n19AshSJogij0Yj8/HyUlZXh+PHjGBsbU7osIq9Yuv+yA0h4eDjKyspmtA2UJEkYHR31y3k5NHMajQbx8fHYtm0bg94CcbvdGB8fx/j4OPr7+9Hf34/q6mosX74cKSkpMBgMVx1tEgQBwcHByMzMhNFoVGwVMM2OWq1GREQECgoKUFNTw7BHAYNhb5HT6XRISUnB6tWrpw17sizD6XSiqakJZrPZRxXSQtDr9cjNzUVGRgZCQ0OVLifg2Ww2VFVVoba2FiaTCTk5OQgNDb3qSJggCAgNDUVBQQHS0tKQlpaG5ORkv1nwQVcniiJCQkIW/LYxkS8x7C1yMTExU81ap+NwONDX14fTp09jaGjIB9XRQvHs1coRI9+y2Wxoa2u76hZpV5KYmIitW7fiy1/+MlavXg2tVguVSjWjeYM6nQ4ajYbBw0dkWZ7ao5d9CymQMOwtcjExMUhPT5/Rsb29vXjllVfQ3t7O27iLnNPpxODgIFcMLgLd3d146aWXcODAAWRmZqK8vHza1iGCIECj0WD9+vXIyclBRESEDyteuiRJwtjYGCoqKngLlwKK+vM99rj6aHFJSkrC8uXLZ3SsxWJBU1MTg14AmJiYQFVVFTo6OhAbGzttKxFSjiRJsNvt6O/vx/j4OFpaheuawgAAIABJREFUWqDRaKZdTCUIAl544QUkJSUhNzcX2dnZUwFRpVIhPj4eeXl5iIuL89uWMIuJy+XC2bNn8eyzz6KzsxNOp1Ppkoi8QpZljuwtVlqtFhs2bMAtt9wyo1u4noUZZ8+enXGHffJfTqcTvb29eP311xEaGorCwkLe6vNzFy/4mI1z587h9OnTiI2Nnbr9KwgCIiIikJqairS0NGRkZMyqobZnAUlGRobXGhT7mtvtRl9fHxoaGub9muZwONDa2ooTJ07g0KFDsFgsHPiggMKwtwip1WqsXbsW999/P66//voZbbs0ODiIc+fO4cKFC/zEGiAcDgfefPNNxMXFITQ0FBkZGUqXRAvAYrGgubkZzc3Nlz2mVqthMpmQn5+P8PDwGYc9zyIEzwISz98hb44Q6nQ6REREIDIyctrzenayGB4entHrk8vlmtr3+NSpU/OeX2ez2dDQ0IDW1tZp9ysmWowY9hYZT7PXhx9+GJs3b0ZUVNSMnldfX49Dhw5hdHR0gSucGVmWp75obmRZRmNjI15++WUYjUakpKQs6T5pS5HL5UJXVxe6urrmfI7ExESsWLECaWlpXv37Exsbi7KyMmzZsmXaUWer1YrKykp88sknGB4envbcExMTOHPmDM6fP8/OAkQzwHeGRSYkJARFRUUoLS2d1W4Zo6Oj6O3tXcDKZsez6o1hb/48oxvbt29HXFyc0uXQItPd3Y3+/n6IoujVkb2EhAT09PRg06ZN04Y9m82GyspK/OUvf0FHR8e055ZlGS6XiwuUiGaIYW+RSUxMxP333w+j0TjjWzYulwsdHR2ora1d4Opmzmq1oqmpadpbNg6HA729vTPe9cAbwsPDkZ2djcLCwkWxPZbdbsdHH32EvXv34qGHHkJYWNj/396dBzd532kAfyRLsizJN76xwTbYHDa2MZgjkHAEQi5ISNOEbnM3aSlJ02ybpptp080k22SbTidNk9BpoDvNtSSEQEgKJcHchyHGNr7v+7Z8SbIsWdL77h9Zq6GAsbFkya+fzwzTVkh6v7iS9eh3fH8c4aNREwTBLZu2WltbkZeXh/b2dkRGRo54ZrNGo8GyZcuwa9cuWK1WCILg8nqIpjJ+Ikwi/v7+mDt3LtasWTOm3Zf5+fk4d+4c2tvb3Vjd6Gm1WoSGhkIul8NqtcJut18xnAiC4DzCaMWKFbBYLLBYLOjv74der0dXV5dLv9mrVCosX74cN9xwAxYuXIiMjIxJsctVFEXU1dXhiy++QHR0NO666y6EhIRc9f7D66MmMkDT1GOxWNDU1ISTJ09i/fr1CAsLu+p9fX19MX/+fKSkpKClpQVdXV0TWCmR9DHsTRI+Pj6YPXs2Vq5cidjY2FE9RhRFCIKAEydO4Ny5cx5vEqpQKDBr1ixnE+gZM2Zc89SPgIAArFixAllZWRBFEWazGXq9Hi0tLSgvL0dHR4dL/l0ymQwJCQm49957sWbNGkyfPn3U/6awsDAkJSU5T0cQBAGDg4MwmUwwGo0TsiFmYGAApaWl+OCDD7BkyZIRR/eUSiWmTZuGwMBA9Pf3M/SRW4iiCIPBgOPHj2Pp0qUjhj2FQoHQ0FCkpKQgPz+fYY/IxRj2JgGZTIaIiAisXbsWd9xxx6geMxz0Ojs7kZeXd8WdfBNJJpNh+vTpePTRR7F582YkJiZe8zFyuRzh4eHYtGnTZX/ncDhQUVGBgoICdHZ2jrs+Hx8frF27FjNmzBjTObM6nQ6LFy+Gn5+fcxff8NRzbW0tKisr0dXVNSGBTyaToaKiAvX19YiOjkZQUNAV12AFBwdj06ZNKC8vh8ViQXt7O6fNyC2sVisqKipgNBqdI/UjCQsLg06nm6DqiKaOS8IeF8t7J61WiyeeeAL333//qE/LGO4E/8c//hE5OTkYGBhwc5Uj8/X1xXPPPYdbb7111KNmI5HL5UhKSkJCQoLLgopKpRpzr7rhsJeRkXHJ+0cQBDgcDlRXVyM/Px9VVVUuqfFaZDIZWlpa0NraCo1Gc8U1hxqNBvPnz8fzzz8PrVaL/fv3cySF3MJisSAvLw8NDQ1ITEzkOc5EHsKRPS/n5+eHp59+Gps2bRp1aw2Hw4GioiK8+uqrOH/+PNra2iag0qvTaDSYM2cOli5disjISJc0/5XJZFAoFB7fiCCXyyGXy6/alHbu3LmIjo6e0LDt6+uLoKCgq9Y0/LNLTEzEww8/DD8/P3z88ccuGSEl+jZBEGA2m3H27FkkJiYiJSXF0yURTUkMe17M19cX8fHxuP322zF79uxRbRZwOBwoLS3Fnj17cPDgQZhMJo9P0Wk0GiQnJyM8PHxS7G51JY1GA41G4+kyLjN8gkJ6ejocDgdsNht27tzJ9XvkcoIgoKury+OzC0RTGcOeFwsJCcHq1auRmJg46nVk9fX1OHDgAPbu3es1B3n7+PhAp9Px/E4vpNPpkJmZCYvFgoMHD6KtrY0nrEwwuVwOf39/KBQKCIIAi8WCwcHBER+jVqvh7+8PrVYLtVo94nvLbrfDbDY7j2pjbzqiqYdhz0vJ5XLExcXh/vvvH9U6l+H1YocPH8ann36KkpISd5c4alarFc3Nzc7+WaPtD0gTQ6fTIT4+HosXL8bhw4e95pQVqZPJZFCr1QgPD8fcuXOh0+kwNDSEtrY21NfXw2QyOZcJfPs9o1QqMWPGDCQlJWHGjBkIDw8fMewNDAygra0NtbW1qKioQE9PD6xWK2w2G0dyiaYIhj0vFRISgpSUFGRlZY36kPKhoSHk5+ejsrLSzdWNjdFoRF5eHpqamhAWFjam3a40Mfz8/JCUlISTJ096upQpw9fXF6tXr8a2bduwdOlSyOVyiKKIzs5OnD9/Hrt27YJGo7lsh2pycjIWLVqEGTNmwMfH55pfnoZ35jscDhQXFyM7Oxs5OTmoqalBdXW1u/+ZROQFGPaug7+/P6KjozFjxgyEhoaOuOHAarWiu7sbzc3NaGlpGfW6lYULF2LTpk0jdp0fJggCTCYT3nvvPZw7d87rzop0OBzo6+vDW2+9hR/+8IdYsmSJV65jm8psNhu6u7s50jOBbr/9djz00ENYtmzZJW1yNBoNgoKCkJKSAh8fH6hUqks2Iul0OgQGBl5Xw+/09HRMnz4dGzduRHd3N0pKSlBeXo62tjZ0dHSgpaVlVMeVEdHkwrA3SjKZDNOmTUNmZiYyMjKcTXT9/f2vuV7GaDSip6cHlZWVqKmpQXd3t7PhaE9PD/R6vTOg+fr64oYbbsC9996LrKysa9YlCAJaW1tx6NAhfPjhh6itrfXKNTlDQ0M4evQoAKCkpASJiYlj2qzh4+ODxMREREREjHqkk0ZHEAQYjUYUFRV5vPH2VBEeHo6VK1di+fLll51x7evri4iICERERLj8uv7+/vD390d8fDxsNhvmzZuHlpYW9PX1oa+vDx0dHSgtLcXRo0fR0NDA14MbyOVyBAUFYdGiRcjNzUVPT4+nS6IpQCGKIob/0OWGj+saPspn3bp1yMrKQnR09Jifq7W1FdXV1Whra4MgCOjt7UVbWxtqampQUVGBpqYmpKam4qGHHsLatWtH9cu+u7sbOTk52LFjBwoKCrz2l/Pw9NS+fftw8eJFJCcnX/P0jG9TKBRYtGgR0tLSEBkZ6fL6ZDKZ8xi30Y46Dg4OOj8kgW8awgYGBk6qMCoIAtrb23HhwgWUlZV57etHambNmoVZs2YhNDTUYzUolUrExMQgJibGeZvFYkFjYyNCQkLw97//HeXl5bBarR6rUWrkcjmio6ORkZGB+Ph4lJaWMuzRhODI3jUEBgZixYoVePbZZ5GZmTmmgPKvoqOjrxgS29vbcerUKezZswePP/44MjIyLvu2fzWVlZX44osvkJOTc911TSSr1Yry8nKUl5eP+bH79+9HRkYGMjMzXV6XTCbDzJkzsW7dOsyePXtUvQA7OjqQk5OD8+fPAwCWL1+O9PR057m/3k4QBAwMDCA7Oxv/8z//4wyt5H4zZswY9Xt8IqnVaiQlJWHr1q1QKpXYtWsXqqurJ2y2QKvVIiIiYtRHQk42vr6+WLRoEdasWYPt27cz6NGEYdi7hjVr1uCZZ57B4sWL3TZiExYWhttvvx1r166FRqMZ03UMBgM6OjrcUpe3MZlMyMnJwYULF9zy/H5+flCpVIiIiBjVB3FnZyeOHz+O9957DwCwa9cupKenIysra1JsQjGZTPj6669RVFQ0ZV5D3mKs7/OJFhUVhQcffBBarRZ/+tOf0NTUNCHX3bhxI9atWyfZtaMWiwUnTpzA66+/jpKSErY5ognDsDeCmJgYLFy4EKmpqaPaKHG9fHx84OfnN+YF13a7Hc3Nzdc1SjYZiaKIoaEhDA0NueX5zWYzDh06hLi4ONx6663XvL/JZEJ7e7tz083g4CDOnj2L8vJyl5wS4m52ux19fX0wGo1euc5Tyrx95NfHxwcxMTG44447IAgCXnzxRVgsFrcv9zl58iQOHjwo2d9pw+eVV1VVue33GNGVMOyNIC4uDjNnzkRAQICnS7mEKIpwOBw4c+YMTp48ifb2dk+XJAmiKOLChQvIyMjAihUrRuxv6HA40NHRgZqaGudtgiBcsoaPaDIbPsFn9erV+Oijj1BeXn7NZs/j1dzcjLNnz+LcuXNuvQ7RVMOwN4Lw8HCvXFdjt9tRWFiIXbt24eTJk1xU70ItLS34+uuvcf78edxwww1QqVSXjMIM9yyrqalBQUEB6urqPFgt0TccDge6u7vR39/vHKWNioqCVqsd1/nRarUaUVFRyMjIQHNzs9vDHhG5B8PeCNRqtVunb6+H3W5Hd3c3tm/fjgMHDqCtrc3TJUmKw+FATk4O/Pz8EBoaiujoaKhUKmd7HYfDAaPRiI8++gh///vfYTKZPFwxSdnwsoWRptmHW+ecPn36kvY5t956K5KTkxEQEACZTAaZTAY/Pz8oFIoxHV2oUqkwc+bMKXeuNZGUMOxNMu3t7fjkk09w8OBBLqp3k+7ubhw4cAAFBQXYsGEDIiIioFKpYLfbYTAYcOzYMVRVVXG6ltyuvLwchYWFV12q4XA4MDAwgGPHjqG6uhpGo9G5rm7Pnj1YtmwZ5s+f79wQcttttyE2NpbBjWiKUQD/PFeVvfYuZbfbvW7hemhoKG677Tb4+fnh1KlTKC8vR0tLC0f4XGi4JUldXR327NkDtVoNuVwOQRBgt9uh1+sxODgIQRA8XSpJXHl5Ofbu3YuioqIr/r0ois7XpNlsvuQ1abFYkJ2dja+//ho+Pj6QyWT48ssvsXTpUsTHx8Pf3x833HADAgMDxzXVS0TeTRRFjuyNpLu7GwaDwdNlXMLPzw+zZs1CQEAA5s6di+bmZrS2tqKsrAxNTU3o7+9Hb28v9Ho9ent7PV3upCWKImw2G1paWjxdCk1hBoMBTU1NqKqqGvNjHQ4H9Ho99Hq987ampibU1tYiPDwc0dHRiIuLc07tEpF08R0+gqamJjQ3N8NisYyrmbKryeVyREZGOk+SGBgYQH19PSoqKtDV1YWOjg40NDQ4mxcbDAbJ9q2iyUen00Gr1UKlUsHhcMBkMsFkMnGkdAIMDg6irKwMNTU1SE1N5WwO0RTBsDeChoYGlJaWoqmpCQkJCZDL5WNa2DxRtFot5s+fj/nz5ztvMxgMKCwsxGuvvYa8vDz09/eP+BwOhwN2ux12u50fuuQWSqXSOSKdmJiI4OBgDA4Oora2FhUVFdDr9bBYLHz9uZlcLkdERAQWL16M1NRUjuoRTQF8l4/AbrcjOzsbgYGB+MUvfoGQkJBJ0SwX+Gb0JDMzE7/5zW9w4sSJEacjBUFAR0cHKisrUVtbi+7u7gmslKYCpVKJuXPn4pe//CWWLl2KoKAgyOVy55qzoqIi/PWvf8WhQ4fQ1dXl6XIlLSIiAjfffDMefPBBr2/uTESuwbB3DS0tLdizZw/q6+uxYsUKrFmzBomJidBoNJ4ubURyuRxqtRrJyckICwu7Zn8si8UCk8mErq4uVFdXIy8vDwDQ39+Pjo4ObgKhcVm0aBGeeOIJ3HzzzQgODr5kNEkURWRmZkIulyMwMBC7d+9GZ2enB6t1v4SEBISGhk7Y9YbbrjzwwANYtWoVUlJSEBcXN6qZCrvdjs7OTh7tRTSJMexdg9VqRUNDAzo7O1FTU4Pi4mIsX74cS5cuxdy5c116reGTMRwOB+Ry+bjPzpTJZNBqtWM6p9VisWDhwoXIzMwE8M0RYn19fWhpaUF5eTmamppgs9lgtVrR398PvV6P7u5ur9u1TJ6jVqsREhKC8PBw+Pv7Q6PRYPXq1Vi/fj3CwsIuu79MJkNAQAAWLlzobFr98ccfo6+vT3KvK6VSifDwcCxYsADTpk275v2joqKQmZk57rOWNRoNUlNTsXHjRsybNw9BQUGjetzwzvSioiKYzeZx1UBEnsOwNwrDv/Dy8/NRWlqKwsJC9Pb2OhuNumIqZPjc15KSEvT29iIqKgqzZs2a8KbOarUasbGxiI2NveT2gYEB56YPq9UKs9mMrq4utLS0oKysDF1dXbBarc5/y/BIoclk4hmQXkYul0Oj0SAgIMDlOzE1Gg1iYmIwe/ZszJgxAyEhIQgICMCsWbMQHR094mP9/f2xaNEiqNVqGI1GHDx4UHJLCvz8/JCenu7cUX8tc+bMgVKpHPfPQafTYfHixQgNDR3Tl8je3l4UFRWhpKSEYY9oEmPYGyOr1YoLFy5ArVbj5ptvxuzZs6FWq8e8cWN4F5zVaoXNZsPQ0BA6Ozvx5ptvorKyEqtXr8YDDzyAiIgIyOVy+Pr6QqlUemyDiFarxbx58zBv3rxLbnc4HCgrK0N+fr5z6k0URXR0dKCqqgrV1dXo6OhwBkHyLLlcDn9/fyQkJGDOnDmIiYkZ96jRt8XFxSEtLQ1JSUnX9XidTof09HT8+te/RmVlJQwGg6SmDzUaDZYsWTLqn3liYiISExPdXNWViaKIiooK7Nq1Cz09Pdw4QzSJOcMeGyuPnsPhQGlpKV566SW8+OKLSEhIuO7WLCdPnkRhYSGqq6tx8uRJNDY2wmq1oqKiAseOHcPatWsRFBSENWvWICkpyatawADfhIfk5GTEx8df8mEwvLu3r68P5eXlOHbsmAerpGFhYWFISUlBVlYWFAqFs9muq/j4+Ix7+YGvry9mzpyJRYsWobW1Fc3NzS6qzvOCgoJw9913IyQkxNOlXJPdbkdDQwPOnDnDoEc0yXFk7zr19fXh+PHj+NnPfobly5cjLi5uVFOucrkcoaGhSExMxMcff4zs7Gw0NDTAZDJBr9c7pzx7enpQUFCA1tZWKJVKHDp0CIsXL8aKFSuQlZUFf39/r9gZLJPJoFQqr/oBHxgYiNDQUMyePXuCK6Mr8fX1RWBgIIKDgz1dylXJZDIoFAokJCQgKChIMmEvMDAQSUlJmDlzpteduf2vbDYbsrOz8dlnn3F3NJEEMOxdJ7vdjq6uLhw9ehT19fWjWgujVCqxYMECzJkzBydPnsS+fftQXV19xbUwgiA417wB3/T8q66uRmFhIc6cOYP09HRn4AsICEBSUhI0Go3XtVJQKpUIDg726nBB3kcmk0Gn03l9KBqLoKAg505+b3ufDhveJHbs2DF89NFHOHXqlKSm0YmmKoa9cbJarSgvLx/VfTMyMpxTtLt370ZLS8uoT7awWCyorq5GbW0tjh07hqysLAQFBUGhUCAiIgLr16/H0qVLERAQ4BUjfkTjMbzJR0onvyiVSuh0Ok+XcVWiKGJgYAAlJSV49913kZ2dPeHtlry1cT3RZMewN4G+//3vw2w2Y8eOHWhoaLiu5xAEAf39/fjqq6+ct/n7++PChQv4zW9+g3nz5kGr1UKhUMDX1xcymQxWq/WqH5oymQw+Pj4u21VMNF6iKEIURbS3tztHtqVgYGAA7e3tEAQBMpnM60KN1WpFTU0NXnvtNRw5csQjZ2vrdDqEhITA398fJpOJa8iJXIRhb4KoVCpERkaipqbG5WuQTCYTzp8/j8cffxw33XQTZs+ejZkzZ2LdunXQarX46quvUF1dfcXHqtVqREVFYd26dfD393dpXUTXY7gNUUFBgaSaK+v1ehQXF8NgMCAgIMDrjikrLS3FO++8g3/84x8ea7Oybt06zJo1C7t378Yf//hHDAwMeKQOIqnxrt82EqVUKnHTTTehs7MTlZWVLm8UK4oirFYrmpqa8I9//AOnTp3C8uXLccstt+Cpp57CxYsXrzpCMtxzbe/evZgzZw6ioqKg0WigVquxfPlyhISEeN2HEkmXw+FAS0sLPvzwQ5SVlUmqt5vNZkNLSwt27dqFe+65BxEREZ4uycnhcKCxsRHHjx+H2Wz22IjauXPncOrUKchkMuzcuRNGoxGHDx/G6dOnJbNRh8gT+CnuZnK5HAEBAbjttttQW1uLgoICt13Lbrejvb0daWlpWLBgAWw2G44ePYq6urprPrayshK5ubkIDg6GWq2GSqVCbm4u0tPTnZ3+ZTIZ5HI5EhMTERYWNu4WGyRtw4v96+vr0dHRcc2F/na7HR0dHbh48SIOHDiAjo4OybX86O7uxocffojFixcjKCgIvr6+l91HFEWYTCYUFxfDZrON+mfg5+eH8PBwTJ8+HQqFYtTTxA6HAwUFBThy5Ajq6+s9OnXa3NyMnJwcmM1mCIIAlUqFOXPmIDo6GoWFhTh58iSbtBNdBwVwaY89rpFwHZlMhpCQECxduhQajQbFxcVXnU51FR8fHyxZsgQ33XQTDh48OOppEKPReNlGk7NnzyIzMxNRUVHO2xQKBbKyspCWlobw8PArXl+tViM8PJxhcBIQBAEGgwE9PT0u3QwxfBJLbm4ujhw5gqqqqmt+SFutVjQ2NqK8vBxGo9FltXgTs9mM8+fP4/jx4wgKCsLMmTMveZ8IggC9Xo+8vDzs2bMHFotl1GFPq9UiISEB6enpiI2NvWbgGw7j7e3t+Pzzz3Ho0KFrnqE9EQwGA86dO4ecnByEhIRg/fr1SE9PR0hICLRaLYxGI3p6etDV1YWenh5YLBZPl0zk1URR5MieO/n6+iI1NRU//vGP8eqrr6KgoMDtv5hCQ0MREhKCsrIyPProo+N6LoPBgKNHj152+759+7Bw4UIsWrTosr/z9fVFdHQ0brnlFsTExEAul3vVN3G5XA4/Pz+PTlV5E7PZjIsXL+LUqVMunTKNjY3F1q1b8corr+DYsWMwGAwue+7JTBRF2Gw27NixA0qlEhs3bkRoaCjkcjkEQcDg4CCOHz+O7du3X1cjcqVSiaioKKxfvx46nW7EJRgOhwMmkwknTpxAY2OjW4OeQqEY8wYwh8OBrq4ufPDBB8jOzsbmzZvx6quvYnBwEHl5eTh9+jQKCgqcO4YdDgcGBga8IrASeRuGPTdKTk5Geno6iouLUVFRMSGjFY8//jjUajVef/11t13DaDTi7NmzuHDhwmV/N9wQd8eOHXj11VcREhKCEydOuK2WsYqJicHmzZuxe/du9PT0eLocj8vLy0N+fj6am5tdGn4zMjLw/e9/nyMvV1FTU4P//u//xqFDh7B06VLodDqYTCbk5+dfEmDGanhd4P/+7/+OKlwJggCr1erydcT/KiEhAaGhodf9+M7OTrz77rv4/PPPER4ejoyMDKxcuRLbtm1zzjzU1dXh7bffxt69e/maI/oXDHtuoFAo8OCDD+KWW26BxWLB9u3b0dfX57aRJLlcjuDgYGzduhV33HEHDh06NOref9djeEPISOfdms1m9PX1obm5GX/5y1/cVstYZWRkYO3atdi/fz8qKysl1cftevT29qK/vx9WqxVyuRz3338/CgoKUFpaOq7nLS8vxwsvvIC77roLDocDZ8+edVHF0jC8PvHs2bOorKyEQqGA3W5Hb28vDAbDuF6XwyNc3kCpVCImJgYLFy5EZGTkdT/PcJP5gYEB6PV6dHR0IC8vD6GhofDz8wMABAQEICMjA7fffju6u7tRVFSE3Nxc1NbWcmSZpjyGPRdTKBRIS0tDcnIy9Ho9zpw5g6KiIrdNZfr4+CA2Nha33HILZDIZPv/8c5w+fdrjuxgtFgscDgd6enpQUVHh0Vq+zWaz4f3330dCQgJKS0u9qjbgm1MWFi1ahLy8PPT19U3oBgWZTIZNmzbBZDKNO+z19vZi7969+OCDD3DhwgWGvSsQBAF9fX3o6+vzdCluo1arkZqaiunTp0Oj0Vzz/kNDQyOOMoqiiMHBQTQ3N1+2OzckJAQGgwGpqanOkBkdHQ2z2Yyuri7U1dWhqqoKer2ep4LQlMOw52IqlQp33nknent7sW/fPrd/yMXGxuKGG25AUlIS3n//fVRWVnrNt/rhoCKTybxmfVxrayveeecdvPnmm6iurva6sKfRaLBgwQJoNBrk5uaitbV1wq4tk8kwa9YsZGVlobi4GLW1tdf9XDabDe3t7QgKCnKOvNDU4+vri1mzZl3zNSCKIgRBQFtb23WPwvX09GD//v348ssvERERgQULFmDx4sWYN28eHA4HZs6cifj4ePT29sJms8Fms6Gnp8e569lbfkcRuQPDngvJ5XIEBgbi9ttvxx/+8AcUFha6/Zpr1qzB2rVr8dJLL6GmpsarvrEOt0/QarVecxKCxWJBfX09IiMjvfLoqr6+Phw5cgS//e1v8ec//xn79++f0Ou3tLTg7rvvhtlsxm9/+9txP5/UWqfQ2Mjlcmi12muuH3Q4HDAYDMjLyxv3FxyLxYKGhgY0NDTg888/R1BQEJKTk7FixQps2bIFs2fPhlarRX9/P/Ly8vDSSy+ht7fXZesWbTYbjEbjlF8iQt6FYc+FwsLCcMsttyAwMBADAwNun0r18/NDSEgI/Pz8vC7oAcD58+cRGxuLG2+8EQcOHPB0OZPC4OAgqqqqEBUVhYCAgAm9tt1uxw9+8AP5wzXEAAAgAElEQVT84Q9/cFnDX7PZ7GzHw0XzdDX9/f3YvXs3ysvLXT4zYTAYkJ+fj7KyMrz//vvOljQBAQFIS0vDBx98gMDAQJc0jx8cHERRURFeeOGFcS+FIHIlBXvsjV9KSgpuuukmzJs3D0ajEa+99houXrzo1p+nn58f7r33XqhUKvztb3/zuqAHACdPnsTmzZuxfv16rwt7wyFEpVJ5VWuY4dYcQ0NDuO+++zAwMIC9e/dO2PU7OzthtVrh4+Mz7ucSRRFvvvkmUlJSsHHjRnz88ccuqJAmE19fX8ybN++a6/WG1/darVaX/94UBAFDQ0MYGhq6ZIpYqVSip6cHvb29UKlULjmr2OFwODemEXkTjuxdJ7lcDn9/f9x2222IjY2FRqNBXV0dysvLkZubi+7ubrdcNzo6GnfccQdCQ0Mhk8lQWFiIM2fOuOVa41VfXw+bzYbZs2d7upRL2O12fPrpp4iIiEBWVhbOnTvnVWHZ4XBgx44d2LJlCzIzMyc07AFw/n+2cePGcU0ji6KIw4cP46abbkJGRgbD3hSj0WgwY8YMLFy4cFRLJiZ6yn94Xek//vGPCb0ukSeMrcslOQUHB+PGG2/EypUrodVqcebMGezYsQNffPEF2tvb3RIeYmJicNttt+EnP/kJlixZgpKSEpw5c8Zr+8UNf0v3tgX6NpsN7777LgYHB7F48WKkpaWNueGrOzkcDrzzzjtobGyc8KlcALh48SJUKhUefPDBcT9Xd3c3fHx8EBAQ4JLRQpo8goKCMH/+fMTHx0OtVnu6HKIpjSN7Y6TT6eDr64usrCw899xz+NWvfoW8vLwJ6eO0YcMG/PSnP8Xg4CCefPLJSTFVMLw8wJt25IqiiObmZuzbtw+bN2/GY489hurqahgMBq/aUDD885ron9327dshk8nwwAMPuOT5ent7nUfoXW+zYJp8goKCkJCQMOovUoIgeM3vCCKp8Z7hjEni6aefxsGDB/GXv/wFYWFhaGxsnJCTMYY3Y9TX12PTpk2T5kNzeP2ZTqdzyZoYV2pra0NZWRkMBgM2bdoEf39/T5d0ieFzUb1tZHSs3n33XbS0tOCXv/ylp0uhCaRQKKDVakd1X5vNhra2Nq9aP0skJQx7o6TRaPCrX/0Kd955J4qLi/Hkk0/iySefRFtbm9s3Yjz//PN4++23ERERgXfeeQetra1uP97IVU6dOoUjR47g17/+NaZNm+bpci7hcDhQWlqKoqIifO9730NgYKCnS7rEnj170NnZiR/84AdQKpUTem2bzQar1QqNRjPukF5XV4f+/n7Mnj0bGo3Gq6bMyX1kMtmoXjsOhwNGoxG5uble06KJSGr4W/cafHx8EB8fj0cffRT33HMPioqK8O677+Kzzz7DV1995bZDtxcsWICtW7fiueeew3333QeHw4Hjx4/j5MmTbrmeu1RWVqKsrAx33XWXV/a16+zsRFtbG9LS0rxuXdHXX3+NmpoazJo1C5mZmRM6wldeXo7z58/j4YcfRkhIyLiea3BwEKWlpSguLnbJ89HkoNVqERUVdc3Ap9frna91tuchcg+u2RuBj48P4uLisHz5cixZsgRVVVXYsWMHzp0759brJiUl4bvf/S5uv/12tLW1obq6Gjt27EBOTo5br+sOAwMDMJlMiIyMdEkfK1f79giWt9XX39+PsrIyxMXF4d5770V9fb3bvlz8q4sXL8Lf3x+/+93vcPz4cfT09IxrBLuwsBD+/v54/fXXcfToUej1ehdWS95GrVYjNjYW8+bNu2bY6+zsRG5uLoxGo1etmSWSEu/6dPMwtVp9yTSTn58f1q9fj6SkJPzXf/3XhDUufuKJJ3Dbbbc5R1bIvex2O4xGIzQaDZRKpVe1YamqqkJERAR27NiBd955B+3t7RNyXYPBgNbWVqjVakRERKC+vn5czW4NBgP0ej0SExOhUqlcWCl5o+joaKSmpiI5Ofma9xUEgadNELkZw97/G25S/Nhjj2HGjBkAvpl+OnDgAN57770JPaEiOjoaX331FV5++eUJud5Up9fr8cUXX2Dp0qXo7e1FTU2Np0tyslgsMJlM8Pf3h6+vL+Ry+YSNftTV1eHJJ5/EI488AoVCgS+//HJCrkuTX1RUFKZPn+7pMojo/03psJecnIwf/ehHiI6OBgDU1NRg586dzt21DocDDQ0NqK6udnvQk8vlCA4Oxo9+9CPMnz8f+/btQ1dXl1uvSd/o7OzERx99hIcffhjV1dVoamryml2Boiiip6cHR48eRXp6Onp6etDU1DQh1zaZTDh//jxeeOEFhIWFTcg1SRq0Wu2od+JaLJZxLxMgopFN6bAXFhaGVatW4dixY+jr68OFCxc80qR4wYIFWL58OUJCQqBSqbBnzx6cOnVqQmuYykwmE/Lz85GRkYHU1FSYTCav+vnr9Xrs3r0bK1asQGNjI9ra2iZk2svhcKC/vx8ajYZTrzQmPj4+o1oDK4oient7UVVVxfV6RG40pcNef38/Tp06hZdfftltx5tdS1JSEu69917ceuutKC0txRtvvIGysjKXHwZOVycIAvr6+vDxxx/jV7/6FVQqlVeFvb6+PmRnZyMrKwvJyclobW1FZWUlR0JIEobDHl/PRO4zpVuvFBUV4amnnvJI0JPJZPD398e2bdtwzz33oKSkBA8++CByc3MZ9DxAFEU0NTVBo9F4ZT9AvV6Pt99+GwkJCdi0adM1D5Yn8iS5XD6mfoqCIEAmk8HPz2/Ce0oSTQVTOux5klarxeuvv44NGzbgiy++wM9//nNPl0ReTBRF1NfXo6SkBBqNBqtXr/Z0SURXFRsbi5kzZ17zfna7HcuWLcPvf/97hISE4PHHH8eSJUsmoEKiqWVKT+N6kkKhQGZmJj7++GN8+OGH3IzhJex2O0RRhEKh8Lp2EHa7HTk5OQgPD3d+SZgIg4OD8PHxgUql8pqNK1KiUqkQFRWF6OhoTJs2DX5+frDZbOjt7UVbWxtaW1sn5EhGV4mNjUVqauqowl5hYSFOnDiBqqoqPPPMM1i/fj0MBoNXLaMgkgKGvQm2YMECLFu2DNHR0QgPD0deXh7Kyso8XRb9v7q6Omg0GiQnJ6OkpMTT5Vymvr4eVqt1VP3LXEEURezfvx/BwcHIysrCuXPnrntnuiiKsFgsUCqVE9pCxlspFAokJCTghhtuQFpaGsLCwhAUFARfX19n70e9Xo/q6moUFBSgsLBwUnwpvOmmm5CWloaAgIBr3ne4oXJ+fj42bdqE8PDwUT2OiMZGMbwoVhRFLpCdAMuWLcO2bdvQ2tqKc+fOoa2tzdMl0bfk5OQgKysLq1evRllZmdcFEqvVCkEQJmzNniAIeO+997Bp0yYsXboUVqsVX3/99XU9l9FoxOnTp5GUlITW1la0tra6uNrJJT4+Hps2bcJDDz004kkT7e3tOHPmDA4cOIDi4mJ0dHTAYDDAbDZ71fFicrkcOp0OGzZsGPWXEZvNhv7+flRXV+Ojjz7Cd77zHcycOROJiYle1e+SaLLjmr0J5Ofnh8jISLS2tmLDhg24++67J+URaFKWk5OD3t5erFy5EjqdbkyLzCeSKIqjOmTeFZqbm7Fv3z44HA789Kc/ve7naWxsxLPPPov7778fS5cudWGFk4+Pjw82bdqExx9/HPPnzx/x/8vIyEhs3rwZb7zxBt5880089NBDuPHGG5GYmAitVus1r1GNRoOFCxciPT19VJucRFFEX18fenp6YLPZUFdXh8HBQdx333149NFHJ6BioqmD07gT6Kc//Snuvvtu1NXVeboUugqj0YiKigrEx8fjrrvuwv79+9HX1+fpsi4xNDQEq9UKnU6HgYGBCRl9bG9vx9DQEOLi4q77OSwWCyorKxEaGoqgoCD4+PjA4XC4sMrJIzExERkZGc7TekZDrVYjJSUFCQkJsFqt6OjowKlTp/DHP/4RTU1NsFqtbqx4ZEqlEnFxcXj66aedTeqvxWazobq6GlVVVc7bzGYzAgICEBMTA61Wy84ERC7CsDeBoqKikJOTg7/97W+eLoWuQhRFlJWVISIiAps3b0ZOTg6MRqNXhZJz584hMDAQ//Ef/4G3334bra2tbg98DocDoiiOqy2GKIrOaeCQkBDMmzcPRUVFLqxy8pgxYwbCwsLG1KxaLpdDrVZDrVYDAIKDgxEQEACNRoO//e1vuHjxIvr7+91V8lX5+flh0aJFeOCBB7B8+XLodLpRPe7LL7/E+fPnL/ky9fLLL+PZZ5/FypUr8dZbb6GrqwtvvfUW6uvr3VU+0ZTgHeP/U0R2djY+/PBDnD171tOl0Ag6OzuRn5+PyspKbNiwAYmJiZ4u6RJVVVU4ffq0c3QoNDTU0yWNmiiKOHDgAKZNm4bFixd7uhyPccUUvFqtRlxcHO68805s3boVjz/+OFatWoXAwEAXVDg606ZNw7p16/Dwww/jjjvuQFhY2DW/EIiiCLvdjuzsbJSVlV2y6/3kyZOorKxEcHAwVq1ahe9973s8qo/IBTiyN4E+++wzT5dAo2Cz2VBbW4v33nsPf/rTn9DQ0IDKykpPl+VkNptRV1eHs2fPYsWKFWhvb5+QXZqCIMDhcIy7LU1OTg7uvvtuzJ0714XVTS4tLS3o7u7G0NDQuI6iUygUCAsLw/3334+bbroJR44cwa5du1BaWgrgm9fy4OAgzGYzzGazS2r38fFBQEAA4uLikJ6eju985ztYuXLlqEOm1WpFTU0N8vLy0NHRcdnfl5WV4eLFi4iPj8e0adOQlpaGxsbGK96XiEaHYY/oCiwWC+rq6hAZGQl/f39Pl3OZrq4u7N69G7t27UJeXt5175AdC7PZDIPBgMjISHR0dFx3CxaDwQCFQgGtVuviCiePyspKlJeXo6urC1FRUZDJZOMe7YuKisIdd9yBpKQkHD16FKIooqenB01NTaiqqkJFRQXsdjsEQXAG99FO/8vlcud5tyEhIVi4cCG2bduGJUuWICgoaNQ1iqKI7u5u/OUvf0FlZeUV1xnu3LkTQ0ND+Otf/wqDwYCf//znGBwcxAcffDDq6xDRpRj2iCYhu92Onp4e6HQ6+Pr6Tsg1jx07BrlcjrfffhtPP/00NxqNg81mw969e6HT6fDYY4+NKTCNRKfTITU1FbNmzQLwzVpLu90Og8GA4uJi5Ofno7GxES0tLairq0Ntbe01n1OlUiEmJgbJycnIysrC8uXLkZqaisDAQOf6wdESBAG9vb04fPjwiBufbDYb+vr60NHRgZiYGJf9fIimKgWAS/rrsdce0eTgcDgwNDQEhUIBpVJ53SNto9Xe3o66ujosW7aMZ/O6QE1NDd59911UVlZi+fLlznNhp0+fjtTUVKjV6jGP9vn4+MDHx+eyEDZt2jSEhoYiJSUFAwMDGBgYgF6vR2lpKc6dO4e6ujq0trZeck64n58fFixYgDvvvBMZGRkICgpCWFiYs/nzWNntdpSWluKDDz5AY2PjiLuHT58+jR/96EcIDg7Gs88+i0cffRQ33ngjrFYramtrsXPnTjQ1NY25BqKpSBRFjuwRjcRqtUIul3vl8WmCIGD//v2IiIjAkiVL3H7E1NDQEAYHB51tU2h8BgYGUFpaipaWFpSWlsLX1xcKhQLx8fFYu3YtNmzYAI1G45KftUKhQGho6CWbeYaGhrBw4UJkZGSgpaXFuTa1tbUVoigiPj4eK1euxPr16zFjxoxxTTM7HA4UFRVh37592LdvHwYGBkYcWGhqakJbWxumTZuGBx98ECkpKbBYLMjOzkZbWxuP7SMaI4Y9oqsQBAH5+fkIDAzEzJkzUVNT41Uj33a7He+++y5++ctfYvXq1Th9+rRX1UfX5nA40NPTg9OnTztvCwwMRFVVFXx8fJCYmIgZM2bA398fDocDSqXSZc20VSoV4uLinL0T+/r6UFNTg9LSUoiiiDlz5iA5OXlcu3tFUYQgCKiursbevXuxe/fuUW92stvtaG9vx6lTp6BQKFBVVYVjx44BABISEuDj44P29navO+WGyBsx7BFdxdDQEF599VX88Ic/xF133YW3337bZTsaXaWpqQkymQyhoaHQaDQT0oR2Ik/vmIr6+/tx7Ngx5Obm4pZbbsG2bduQkZGB/v5+REdHQy6Xu+XnHxQUhMzMTGRmZrrk+YZbrPT29mLnzp349NNPr+sItOeffx4vvPACfvjDH2LTpk0AvjnD+s9//jP279+PwcHBKz5OEASYzWav6pFJ5CmKuro65+6s4Z1SRPTNh1V9fT1KS0sRGxuLVatW4cCBA54u6zK5ubmIj4/HqlWr8Pe//92t13I4HDAajVCr1ROyTnCqEgQBJpMJBw8exPr162Gz2bB//348//zzCA0NHVdz64kiCAJqa2uxbds2FBcXo6en57qf66233sL777/vDLkxMTG499578dRTT11xk4jVakVdXR2ee+45Zxsaoqmqu7sbijlz5jjDniAI/MZOLje8I/BnP/sZtm/fjosXL3q6pFGz2Ww4c+YMNm3ahPXr13tl2Dtz5gwCAwOxdu1aHD16FIODg26bzm1pacHLL7+Mu+++G6Io4vz58265Dv0z8A0NDaG9vR2ff/45Ojs7sXz5cqxcuRLJycleu1FmeDPGhx9+iK+//homk2lc063d3d2XDER0dHTAbDbj2LFjV1zTGBERgWeeeQbTpk3zyvW2RBMpIiKC07jkfk1NTdi+fTvuvvtuHDx4cFKFPQCor6+H2WzGrFmz4Ovri6GhIa9aG1dfX4+LFy8iODgY//Zv/4Y9e/aMaxRlJN3d3di9ezfee+89FBQUXHfYGxwc5KjgGFitVjQ0NKC9vR2VlZUoKSnB4sWLkZaWhpSUFPj6+kIu9+yBSKIowuFwoKSkBKWlpThz5gy++uorGI1Gl79fTCYTcnNzkZube8W/j4yMRGJiIlatWoXk5GQUFRUhJyfHpTUQTSYMe+R29fX1eOWVV/Cd73wHfn5+ni5nzCwWC1paWtDV1YXFixcjPz/fqw5ot1gsuHDhAjQaDX73u9/h+PHjbgt7NpsNbW1t0Gg04+rvV1hYyLVUYySKIiwWC/Lz81FSUoKTJ09i9erVuP322zFz5kzne0upVDqPLXN3ABQEAX19fTAYDDCbzejo6MCBAwdw5MgRVFRUeOx90t3djTfeeANPPfUUZsyYgYGBAYY9mtIY9ohG4fjx4xAEAS+++CJ+8pOfOE8j8Bb9/f3Q6/VISEiYkCbLjY2N6O/vv+7H79ixw4XVTD1DQ0MoKytDVVUVPvnkE9x5553OM2RDQkKwceNGREZGXvZaGA6A41muI4oiRFHE0NAQzGYzTp06hfPnz6O+vh7Z2dnQ6/Uef28MH3n4zDPPeLQOIm+hYENlomvr6+tDRUUFysvLceONN8JisVzXzkJ3mqjNEw6HA08//TQMBoNbnp9Gz263o7u7G5988olz7ZpSqcT777+PtWvXIiYmBiqVCjKZDEqlEuvWrcP06dPHdR6vIAjo7OzE3r17ceLECRQWFjqPz+PuVyLvxJE9olFwOBxobW3Fvn378IMf/ABVVVVeF/aam5vxyiuv4J577oEoilddz+QKra2tbntuGhuHw3HZKGtPTw/6+/svacosl8tx5MgRZGVlYdmyZUhNTYVOpxvTKN/wxotPPvkEn332GVpbW9Hf38/1l0RejmGPaJRMJhMKCgqQmJh4yUkE3kKv1+OTTz7Bzp07IZPJ4HA4kJ+f7+myyANsNhsaGhouu726uhrl5eUoLCxERkYGFixYAJVKddnaPrVajYiICAiC4DyWbGhoCC0tLTh37hy+/PJLVFZWcjaIaJJg2KMJY7VaJ/UUz/A0qVKpdH5AelP3fpvNhtbWVpSVlSEkJATx8fEMe3QJs9mMwsJClJaW4ssvv8Ty5cuveCRbQEAAbr31VoSGhuL06dMoLS2F2WxGWVkZamtrvWqDEhFdG8MeTQhBENDQ0ACTyeTpUsZFFEX09PRApVJBp9N53bo1u92On/zkJ54ug7zc8FFkn3766VXvExYWhi1btiAhIQHPP/+8xzddENH182xjJpoyBgcHsXXrVpw4ccLTpYyLzWbDf/7nf2LevHn47ne/6+lyiNzmjTfewJ///GfMnDmTzfaJJjmGPZoQoiiiubl50k//CIKAvLw8+Pn54b777sPWrVvh5+fHD0OSHL1ej/b2doiiCI1G4/GmzUR0/fjuJRojo9GI7OxsnD9/HuHh4diyZQsCAwM9XRaRy9XW1uLkyZO46667EBkZecWjyYjI+ykA9tcjGqs9e/bg8OHDuPHGG/HSSy+ho6MDZ86cQW9vr6dLI3KZ4uJiiKKIhx9+GCaTCTk5OWhpafF0WUQ0RhzZI7pO/f39aG9vR0hICP793/8dGRkZni6JJMpTX8iNRiPy8/Px5ptvYsuWLVi7du24GjITkWdwNy7ROBQVFWHNmjUYGhqCXq/3dDkkMRqNBg6HAxaLxWM1DA0NoaqqClqtFj/+8Y8RGBiIP/3pTx6rh4jGjiN7RONgsVhQXV2NxsZGmM1mT5dDEvPYY4+hq6sLn3/+ucdqEEURVqsVv/vd79Dc3Izk5GSP1UJE14dhj4jIS61fvx79/f04f/68p0vB0aNH0draCq1W6+lSiGiMGPaIiLxUWFgYbDYb+vr6PF0KgG9OkQkKCsLcuXPZbohoEmHYIyLyUt7WKcFkMmHBggV46aWXoFBwyTfRZKEoLy+HIAgQRRGCIKCrq8vTNRERTWlyuRxarRZWqxVDQ0OeLsfpjTfeQH9/P+677z6O7BFNEh0dHVDEx8dDEIRL/hARkedERETg6aefxqFDh3DhwgVPl+PU1dWFtrY2hIWF4cUXX8Rf//pX1NXV8dxcIi8WGhrKaVwiIm8THByMLVu2IDc3F1VVVZ4u5xKlpaX44IMPIJPJcMsttyApKcnTJRHRNXDRBRGRl1EqlYiJiUF/f7/XnSedn5+PkpISxMbG4rXXXoNOp8PAwAAaGho8XRoRXQVH9oiIvIxMJvO6zRnfNjQ0hJqaGvj4+OCRRx7BE088wZM1iLwYwx4RkRdRKpVQq9UwGo1wOByeLmdETz75JLKzs7Fx40b8/ve/R3BwMORyfqwQeRtO4xIReZH09HTceeedeOWVV9Da2urpckbU1NSEd955B2fPnkVQUBCeeuopdHd349ixYygpKfF0eUT0//gVjIjIiyQmJmLZsmXYtWvXpDhvOT8/H3v27MHRo0chiiLuvPNOzJ8/39NlEdG3MOwREXkRjUaD4OBgtLS0wGazebqcUTGbzaisrMSHH36IwMBATJs2zdMlEdG3MOwREXkJhUIBhULh1ZszrmZ400ZdXR0MBoOnyyGib1GIojgpf7EQEUnNI488gkceeQRms9nTpVy3X/ziFzAajZ4ug4i+hRs0iIi8RFJSEvR6Pd58881J+yW8ubnZ0yUQ0b9g2CMi8hJarRYdHR04dOiQp0shIglh2CMi8hI2mw0ymczTZRCRxDDsERF5iZ6eHiiVSk+XQUQSw7BHROQltm/fzpE9InI5hj0iIi/R2dnp6RKISILYZ4+IiIhIwpxhb7Ju8yciIiKiq+PIHhEREZGEMewRERERSRjDHhEREZGEMewRERERSRjDHhEREZGEMewRERERSRjDHhEREZGEMewRERERSRjDHhEREZGEMewRERERSRjDHhEREZGEMewRERERSRjDHhEREZGEMewRERERSRjDHhEREZGEMewRERERSZgz7Imi6Mk6iIiIiMgNOLJHREREJGEMe0REREQSxrBHREREJGEMe0REREQSxrBHREREJGEMe0REREQSxrBHREREJGHOsCeTyQCw3x4RERGRVIiiyJE9IiIiIilj2CMiIiKSMIY9IiIiIglj2CMiIiKSMIY9IiIiIglj2CMiIiKSMIY9IiIiIgmTi6LI3npEREREEsWRPSIiIiIJY9gjIiIikjCGPSIiIiIJY9gjIiIikjCGPSIiIiIJY9gjIiIikjCGPSIiIiIJY9gjIiIikjBn2BturCyTyTxWDBERERG5jkwm48geERERkZQx7BERERFJGMMeERERkYQx7BERERFJGMMeERERkYQx7BERERFJGMMeERERkYRdFvaG++0RERER0eQmiiJH9oiIiIikjGGPiIiISMIY9oiIiIgkjGGPiIiISMIY9oiIiIgkjGGPiIiISMIY9oiIiIgkjGGPiIiISMIY9oiIiIgkjGGPiIiISMIY9oiIiIgkjGGPiIiISMIY9oiIiIgkjGGPiIiISMIY9oiIiIgkjGGPiIiISMIuC3uiKHqiDiIiIiJyA47sEREREUkYwx4RERGRhDHsEREREUkYwx4RERGRhDHsEREREUkYwx4RERGRhDHsEREREUnYZWFPJpN5og4iIiIicgOO7BERERFJGMMeERERkYQx7BERERFJGMMeERERkYQx7BERERFJGMMeERERkYQx7BERERFJmBwARFH0dB1ERERE5AYc2SMiIiKSMIY9IiIiIglj2CMiIiKSMIY9IiIiIglj2CMiIiKSMIY9IiIiIglj2CMiIiKSMIY9IiIiIgmTA4BMJnPe8O3/TkRERESTG0f2iIiIiCSMYY+IiIhIwhj2iIiIiCSMYY+IiIhIwhj2iIiIiCSMYY+IiIhIwhj2iIiIiCTssrAniqIn6iAiIiIiN+DIHhEREZGEMewRERERSRjDHhEREZGEMewRERERSRjDHhEREZGEMewRERERSRjDHhEREZGEydlXj4iIiEi6OLJHREREJGEMe0REREQSxrBHREREJGEMe0REREQSxrBHREREJGEMe0REREQSxrBHREREJGFymUx2yQ3/+r+JiIiIaHKSyWQc2SMiIiKSMoY9IiIiIglj2CMiIiKSMIY9IiIiIglj2CMiIiKSMIY9IiIiIglj2CMiItJY4SAAAAGvSURBVCKSMIY9IiIiIgm7LOyJouiJOoiIiIjIxURR5MgeERERkZQx7BERERFJGMMeERERkYTJZTIZhv8AcP4nEREREU1uMpkMcm7IICIiIpIuOfDNTo3hET25XI6AgACPFkVERERE4xMdHQ25XP7PadzhET65XA6lUunh8oiIiIhoPJxh71//wtfXF3PnzvVETURERETkIjExMfD19b18g4ZGo0FKSoqHyyMiIiKi8Zg3bx40Gs0/R/aGA59Op0NqairWrVvnyfqIiIiI6DqtW7cOCxYsgE6n++fI3jCZTIZp06bh5ptvxuzZsz1YJhERERGN1ezZs3HzzTcjLCzsm9YrwD9H9YZDn0qlQlpaGrZs2YKQkBCPFkxEREREoxMSEoItW7YgLS0NKpUKAKD49h2+HfgCAgKwbNkyaDQaHD58GEePHoXD4Zj4qomIiIhoRD4+Pli9ejVuvvlmpKWlITAw8J+DeQUFBSIACILg/COKovOPxWJBV1cXCgoKUFxcjMbGRtTU1MBoNHr630VEREQ0Zfn7+yMxMRFxcXFISUlBeno6wsLCoFarL5m1/T9SF3hg2r4tlwAAAABJRU5ErkJggg=="
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "测试图像\n",
    "![image.png](attachment:image.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 只要框里有黑色，中心点的值就变为黑色，即原来的白色被黑色腐蚀掉\n",
    "\n",
    "kernel = np.ones((5,5),np.uint8) # 创建卷积核参数\n",
    "erosion = cv2.erode(img,kernel,iterations=1) # 第一个参数为cv读取的图像，第二个参数为核，第三个参数为迭代次数\n",
    "\n",
    "cv2.imshow('erosion',erosion)\n",
    "cv2.waitKey(0)\n",
    "cv2.destroyAllWindows()"
   ]
  },
  {
   "attachments": {
    "image.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "执行完erosion操作之后，得到的图像，**白色被黑色腐蚀掉**\n",
    "![image.png](attachment:image.png)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 1.2 圆形腐蚀(例)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "pie = cv2.imread('01_Picture/06_pie.png')\n",
    "cv2.imshow('pie',pie)\n",
    "cv2.waitKey(0)\n",
    "cv2.destroyAllWindows()"
   ]
  },
  {
   "attachments": {
    "image.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "原图![image.png](attachment:image.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "kernel = np.ones((30,30),np.uint8)\n",
    "erosion_1 = cv2.erode(pie,kernel,iterations=1)\n",
    "erosion_2 = cv2.erode(pie,kernel,iterations=2)\n",
    "erosion_3 = cv2.erode(pie,kernel,iterations=3)\n",
    "res = np.hstack((erosion_1,erosion_2,erosion_3))\n",
    "cv2.imshow('res',res)\n",
    "cv2.waitKey(0)\n",
    "cv2.destroyAllWindows()"
   ]
  },
  {
   "attachments": {
    "image.png": {
     "image/png": 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    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "分别**迭代1、2、3次**erosion操作得到的结果图\n",
    "![image.png](attachment:image.png)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 2. 膨胀操作(dilate函数)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 2.1 汉字膨胀(例)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "img = cv2.imread('01_Picture/05_Dige.png')\n",
    "cv2.imshow('img',img)\n",
    "cv2.waitKey(0)\n",
    "cv2.destroyAllWindows()"
   ]
  },
  {
   "attachments": {
    "image.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "原图![image.png](attachment:image.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 先腐蚀 后膨胀，抵消腐蚀造成的损害\n",
    "kernel = np.ones((3,3),np.uint8)\n",
    "dige_erosion = cv2.erode(img,kernel,iterations=1)     \n",
    "cv2.imshow('erosion',dige_erosion)\n",
    "cv2.waitKey(0)\n",
    "cv2.destroyAllWindows()\n",
    "\n",
    "kernel = np.ones((3,3),np.uint8)\n",
    "dige_dilate = cv2.dilate(dige_erosion,kernel,iterations=1)     \n",
    "cv2.imshow('dilate',dige_dilate)\n",
    "cv2.waitKey(0)\n",
    "cv2.destroyAllWindows()"
   ]
  },
  {
   "attachments": {
    "image.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**先腐蚀 后膨胀**，得到的结果图\n",
    "![image.png](attachment:image.png)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 2.2 圆形膨胀(例) dilate翻译:扩张"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "pie = cv2.imread('01_Picture/06_pie.png')\n",
    "\n",
    "kernel = np.ones((30,30),np.uint8) # 创建卷积核\n",
    "dilate_1 = cv2.dilate(pie,kernel,iterations=1)\n",
    "dilate_2 = cv2.dilate(pie,kernel,iterations=2)\n",
    "dilate_3 = cv2.dilate(pie,kernel,iterations=3)\n",
    "res = np.hstack((dilate_1,dilate_2,dilate_3))\n",
    "cv2.imshow('res',res)\n",
    "cv2.waitKey(0)\n",
    "cv2.destroyAllWindows()"
   ]
  },
  {
   "attachments": {
    "image.png": {
     "image/png": 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    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "分别**迭代1、2、3次**erosion操作得到的结果图\n",
    "![image.png](attachment:image.png)"
   ]
  }
 ],
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   "display_name": "study",
   "language": "python",
   "name": "study"
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