{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Clustering - DBSCAN\n",
    "\n",
    "- [How DBSCAN works and why should we use it?](https://towardsdatascience.com/how-dbscan-works-and-why-should-i-use-it-443b4a191c80)\n",
    "- [從 DBSCAN 算法談談聚類算法](https://blog.csdn.net/u014688145/article/details/53388649)\n",
    "\n",
    "數據背後，每個數據樣本都有它們的不確定性。聚類需要滿足兩個條件：\n",
    "\n",
    "- 第一，類與類之間有一個影響它們本質的 gap，也就是說在 2 維世界中兩堆數據是有一定的間距的。影響間距的本質原因，便是現實世界中影響人們區分這兩類事物的判別依據，只是在數據的坐標軸世界中我們以 distance 來衡量\n",
    "- 第二，每個類在自己的群體內，有某種微小的不確定性影響著它們的分佈，但不足以跨越那個 gap。即這些微小的不確定性，導致了數據樣本在某個特定的樣本空間附近隨機出現，從而在坐標軸中能夠看到大量數據堆積在一塊。\n",
    "\n",
    "## DBSCAN 定義\n",
    "\n",
    "先來看看 DBSCAN 一些關鍵概念的定義： \n",
    "\n",
    "1. **ϵ neighborhood** (eps)：給定對象半徑 ϵ 內的區域稱為該對象的 ϵ 鄰域。\n",
    "2. **minPoints**: the minimum number of points to form a dense region. For example, if we set the minPoints parameter as 5, then we need at least 5 points to form a dense region.\n",
    "2. **core points (核心對象)**: 如果給定對象ϵϵ鄰域內的樣本點數大於等於 MinPts，則稱該對象為核心對象。 \n",
    "3. **directly density-reachable (直接密度可達)**: 給定一個對象集合 D，如果 p 在 q 的ϵϵ的鄰域內，且 q 是一個核心對象，則我們說對象 p 從對象 q 出發是直接密度可達的。 \n",
    "4. **density-reachable (密度可達)**：對於樣本集合 D，如果存在一個對象鏈 `P1,P2,...,Pn, P1=q, Pn=pP1,P2,...,Pn, P1=q, Pn=p`，對於 Pi∈D,1≤i≤nPi∈D,1≤i≤n，Pi+1Pi+1是從 Pi 關於 ϵ 和 MinPts 直接密度可達，則對象 p 是從對象 q 關於ϵϵ和 MinPts 密度可達的。 \n",
    "5. **density-connected (密度相連)**: 如果存在對象 o∈Do∈D，使對象 p 和 q 都是從 o 關於ϵϵ和 MinPts 密度可達的，那麼對象 p 到 q 是關於 ϵ 和 MinPts 密度相連的。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "from sklearn.cluster import DBSCAN\n",
    "from sklearn import metrics\n",
    "from sklearn.datasets.samples_generator import make_blobs\n",
    "from sklearn.preprocessing import StandardScaler\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[ 70.06443349, 136.83385781],\n",
       "       [ 65.139298  , 104.36545959],\n",
       "       [ 71.43016248, 149.64532261],\n",
       "       ...,\n",
       "       [ 90.2147766 ,  40.88593225],\n",
       "       [ 89.98146563,  43.98992428],\n",
       "       [ 89.09174568,  65.04421575]])"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# A校生\n",
    "mu1, sigma1 = 70, 4.2\n",
    "x1 = mu1 + sigma1 * np.random.randn(400)\n",
    "\n",
    "iq_mu1,iq_sigma1 = 120,15 # 學習時間長\n",
    "iq_mu2,iq_sigma2 = 60,10  # 學習時間短\n",
    "\n",
    "tmp1 = iq_mu1 + iq_sigma1 * np.random.randn(350)\n",
    "tmp2 = iq_mu2 + iq_sigma2 * np.random.randn(50)\n",
    "\n",
    "y1 = np.append(tmp1,tmp2)\n",
    "\n",
    "# B校生\n",
    "mu2,sigma2 = 90,2.1\n",
    "x2 = mu2 + sigma2 * np.random.randn(300)\n",
    "\n",
    "tmp3 = iq_mu1 + iq_sigma1 * np.random.randn(50)\n",
    "tmp4 = iq_mu2 + iq_sigma2 * np.random.randn(250)\n",
    "\n",
    "y2 = np.append(tmp3,tmp4)\n",
    "\n",
    "# 水平組合\n",
    "dataset1 = np.column_stack((x1,y1))\n",
    "dataset2 = np.column_stack((x2,y2))\n",
    "\n",
    "dataset = np.vstack((dataset1,dataset2))\n",
    "dataset"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### DBSCAN"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [],
   "source": [
    "def dbscan(dataset, EPS, MIN_SANPLES):\n",
    "    db = DBSCAN(eps=EPS, min_samples=MIN_SAMPLES).fit(dataset)\n",
    "    core_samples_mask = np.zeros_like(db.labels_, dtype=bool)\n",
    "    core_samples_mask[db.core_sample_indices_] = True\n",
    "    labels = db.labels_\n",
    "\n",
    "    # Number of clusters in labels, ignoring noise if present.\n",
    "    n_clusters_ = len(set(labels)) - (1 if -1 in labels else 0)\n",
    "\n",
    "    print(f'n_clusters: {n_clusters_}')\n",
    "\n",
    "    # Black removed and is used for noise instead.\n",
    "    unique_labels = set(labels)\n",
    "    colors = plt.cm.Spectral(np.linspace(0, 1, len(unique_labels)))\n",
    "    for k, col in zip(unique_labels, colors):\n",
    "        if k == -1:\n",
    "            # Black used for noise.\n",
    "            col = 'k'\n",
    "\n",
    "        class_member_mask = (labels == k)\n",
    "\n",
    "        xy = dataSet[class_member_mask & core_samples_mask]\n",
    "        plt.plot(xy[:, 0], xy[:, 1], 'o', markerfacecolor=col,\n",
    "                 markeredgecolor='k', markersize=14)\n",
    "\n",
    "        xy = dataSet[class_member_mask & ~core_samples_mask]\n",
    "        plt.plot(xy[:, 0], xy[:, 1], 'o', markerfacecolor=col,\n",
    "                 markeredgecolor='k', markersize=6)\n",
    "\n",
    "    plt.title('Estimated number of clusters: %d' % n_clusters_)\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "n_clusters: 4\n"
     ]
    },
    {
     "data": {
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RPu0/YcIIgoNFr5g+y4i3xTQRWQgMxDJjPwg8AbwHzAcuBSqBh5RSq7T904DxgAm4Xyn1rbdB9OnTR61fv97rYJ1noj2JtsxEMbERy+xRd0p0j9lspkuHTgzYF0KyauV1/0w5wNq2FeTs2nFOZ1uOZmmxLqtvlVJkG4pYElGkm6U1IEaNuobRo7t5nM07M3fu1yxenMPixV+fxZFdmIjIBqVUH6/7+aqaOJv4Euj1L3/dWbp0KVNuvo1pJd19si5QSvFMxDbmfPIuw4adm5KIxnIx0nFNVFQkeXn/Izo60ufnFBefoHPnv3Ps2PGzOLILE18DfaP4ZuhOifVDY/Cn0c3SGjclJaeIimri13MiI8MpKTl1lkakA40k0Otf/vqhMfjTNIaLkY57IiKacPy4f0H7xInTRET4d3HQ8Y9GEej1L39NarMofbb9aepjobwxXIx03JOSMoAvv/y+xvYFC1aSkHALBsNVJCTcwoIFK22PLVqUTXLyledymH84GkWgv9C+/HUNiM6KlKfKejJFJRFfFkJGRgYjR4wgJCCQ1H5XOhzvbPrTWMc0+c9/w5SxnfiyEIKVgVNlpWRkZDD22utp2yqO7du3ezyObpbWuJk0aQpz5ixxqKtYsGAlEyf+h717D6GUYu/eQ0yc+B8WLFiJUoo5c5YwefK953HUFz6NopXghfTlr6uG3bl930HKmMVGAjEwmDbcQTfL8ZSJjT8WM+mmvxIQHcGS5Ust/jQZBaQQ5/N4ffGnsY4p+WQzflCnyaXMcSyY2FhdzIpD++jZrQeLvl3idnE3PCSU0jITEQT5PEbdLK3hMHToUB580Mz8+d/alDdpaXMpLa1w2K+0tIK0tLmUlVVSWYleMX2WaRSB/kL58te1x6rzonQRpTzPL1xPB5Jp5fp4p1uRXVZE/z59CQgIwECZxwVte5RSZDY5ymuPvuR2H+uYkk824ztV4HksqhVZqpAxI65l429b6NKlS43jna2Lkc65wWAwsGjRV6SmJqOURSefn+/a4mTv3kPMmPEua9Zk6Yqps0yjOLuN3SnRbDbzzTff0PeSnow40dIWaM1KsUUd4RW1mckqkwlqFfeQxUbzYf50soll5m+XxrFflDYrxWw2cz0dSJE4r0qka0tiMR07BSiyOODTuH3xp1m+fDnmI6f4QRX5NJYUac3NqiNDUwe7TFHVxiztG7WXZRkr9cK5BkJiYiJr1mTx4ouL6d17Ms2auV5oDQgIYM2aLF0GfQ5oFIG+MTslWnPX/7jpViIqhFRtplqkSplKNq+wmU0UE4KR8XTlOfpxKdHkqmPs31fA22+/bTuW/aL0No4ShJFkvGvNAVKJowmBDCeeL9hFpiqsF3+al2f9h/angv0eS/WREpeqKH/N0jIpxIDwf+hVsw2JxMREtm7N4dlnXyI+vkONx4ODg3n77bf1IH+OaBSBvqE7JbpbXE3tdyV9e/bmyn3BtCwL4GraIiIUqVKe5mdOYaJa83w7RgXv8TtbOUqKxPEEl3Gz6sDkf9zJ3LlzMZvNDovSGexnEK39UiINpg2bKOZRerGMfJ7kZzJVISWqEpMyU6IqWaP2k8aPfBd9vEbq6IMFC7g4oSNGg4GLEzrywYIFfL9uLUWU+j2Wq6tbu1RF+WOWtkbtZxG7uZdLCBRjrSwcdM4eBoOBYcOG8csvm3j//feJjj4jqIiObo7R2CjCzwVBo8jRW7/8A/r2Q5VYdPLuKmOzDEV8HVFE9vJ15yTv53Fx9cdidqJYRj7HqGA8XW0pFwNiC/JWKjHzOTvpj+X9pdAas4L7J07i+afTHRalf+c4t1Mzx+2JnkTzMXnEShhPq8v5jaOsYj8fk0c51YRgJJEoetAcQ7eLawT5qRPv4a+l7elMKjv2nmDqxHs4VVbKTiq4g25+jaU3Mcxwo4ryZpb2C4fJYD8mFI/Si1gJc3i+NV2lSuC6oSP0qtkGgMEgREQE8/HH/2HAgB5kZ29hwoRHABg79tbzPLoLn0YR6OHsOyXWBp8WV1UrsjjAO2wnjABbyuW0G5njERzVCanEsVrtp8O+avYooRTLonQ5plopkcqpBsAgQhItSKJFjf1KVCUzflznsO3JtMf5a2l7ukozALrSjL+Wwitsxgxs4QhXaKkbs1Js4ygZ7Od3jlOOiRACuJgoBtGa7jT3qoqymqWtWLGCl55/genfZ1NaWY4RwYgBhaIrzThMGS1VKAYXF/5kcyxZR7exYsWKc2bhoOOa9PSnmTfvQQYN6gnAoEE9mTfvQaZMeVoP9OeARhPooeaXf8a6HzhdUUZ4cChX9OvPnEdfYsiQIedk9uasgHHpxI+2AEkcH6hcNnCYT9jJdSTwFbtrBHWAFgTXeP5g1YZNqpg4wviKPRQrS8CzBn1fKcNECN47O7oKwnn5u+lMqsO2zkRSSTUP0ZO3ycGghASaMpvNNrnn7XRxMJ77jJ18yA7G09WrKspgMNC+fXt27txJbHBTkisTahjZWY83RV3iemavFc7pgf78kpOTy4ABPRy2DRjQg5wcPbV2LmhUgR7O5P3O9xf3jAImAcTzLPZSognEwFfs4RRV9NT+/h/bqeSMOiQIAzfQscZr9SSaD9lBEwLZwhFGEI8JMxsp9k+GSDGJRHndz5U0tVO79uzYe4KuNLNt28EJ4ginqzTjdtWVd9lOOdXeJZYc4CV+pdcll+EJf+6YnucXHlU10zg9VbTbFJHOuaNr10Sys7fYZvQA2dlb6NpVX4w9F+iJy1pir4ApUqXM4Ec+YyeXEs1z9ONNBtoUNN+yl2CMTCKJSqoJI4D+EsttdLHN4FsQzG10ob/U9PM5SSXVKEYSzzP0I0XiGEJbVlHglxJpFQUMdt3Z0QFX0tQn0p/ivbDd5KhjmJSZHHWMt8nhGuIBy+z+EGU+SizjuJGOrP95vdtKWX+M7FIkjuvpwKtswex0Phpq4dwfjbS0GUyY8CIZGRupqjKRkbGRCRNeJC1txvke2h+CRjejbyh8v24tM+lFkfKhaEmbdc5iI0EYbSmX/hJLfzwbtZmVYg5bGEtnBsqZIN2d5nzIDrI44NOsPpNCTCi60dzjfvZFUs4dnk6VlfKqbKFMmYghlBvoQD/twrSDE4QR4JfE8jtzAf16X8ZPGzfUWFNxvmPyRjKtWEUBv3HUYd2hIRbO/RGx5uGnTHmanJxcunZNJD19lp6fP0f84Wf0tfWdOV1eRghGn4uWrLPOQAz8gu/N0LdxlAAMNv29FYMIU7jEJ038arWfT9nJPfRwuWhpj1WaGh8fX8NP51560FE1JRChAhORBNtm92+yjd609EtiOYS2RJWKS0vp2hjZDaYNq9jvsL02hXN6F7Ozw9ixt7J1aw7V1dVs3ZqjB/lzyB96Rl8X35nwkFA2lhX7VSiUTCtWso9v2EuKcn9hsGcVBTb9vTOxEsajqhez2WxJy6g2DkqkDRy2STsVsJ3jXKRCvUpT33tjISn9rqjhp2NEuJq23EE3tnCE9/mdIkoJJYAKTNxIzcIYT1jlnjGHjtO3Zx9yd/xukZAGh1BZUcm/8S9AW49n/568WTg4U1/9dHV0GhKNpsNUfVPXjlUjBg8hJ+NHBtGaFPF9QXSN2s/n7OJGOvr0vLvVGmbRnwhxr64xK2XTxOdqC8EGhNY04SSVPMPlFHCa19lKEEaG066GNHWZ7KPYXKbp+81UowghgHgi2EcJN9KRVFxfnJRS/IMM3mQgRvF+k/iDKuJzdtpUR8nEks9pHuRPnKSSOWzhIGU+H8+KSZm5izXMlUEArKGQlTHH6dE9yafm4noXM53Ghq8dpv6QM3p/pJHuCm/ue2QqozKu8ds+uRcxfEweX7ALFDXy+laUsnjSVGiLt55w1sSblJk7Wc1BSqmgmgf4ni40429cDCgWsYcF5FItCiMGQsSIwQyxhHEVbWwSxlNU8TTruZGODusDrs5TiArwSe75gyqqoTZaxyFAcRoTL7CJ6+nAR+TVWj6qlGKJ7GUp+cSejrI0F/cyM6+P/wkdnYaK10AvIvOBa4FDSqkkp8ceAv4NxCilisUSsV4GRgKlwN+VUr/U/7Drht8LfS4Kb4YOHYoJc62LlszAp+xkJfu4WrV1nGFTzCoKMKEIsVu89ZUyTARj5Hn6O2jOP2cXVZiZwiXkGk7wkdrBcNWOVW5cJ/PVKcIJrLE+4IqLifJJ7vk5Ox2CPECV9rf9escmVey3fPQXDhNDKP8K/5XDpSe5RTqTfDrW9QK5nUto5rq1fPrppxwuOMCHZhPvkFOjwMt5bUMvxtJpTPgyFXkHGO68UUTaAkOAfLvNI4DO2s9E4PW6D7H+qY+OVQaDgbDg2jXyCCWAWfTnRjpQQTWfsZN/8gN3sppprGMTxdxER56iL11o5rdz5y8cpgvNiJAgjGKwecA8wWUMox3P8wudzU1ppoLIotDtYvJS8rmKNj6dp0G09knu6apIzIr9eoevx7OilOJb8om+pCMVgfAX1YkUH/oLDzjZjD5Jf+L1fz3PmOqEGtLYz9jJDH6kSJXWfH4du5gtWLCAhIQEDAYDCQkJLFiwoNbH0tHxhNdAr5TKBI66eOi/wCPgYNgyGnhXWVgHRImIbyuV55D66liVfMWV/tsna0VLERJEqrTmOfpzPR2oRhGAgWfpx71yCUnSAoNIrQLeSjd6eXv1zxy20pVmBCBEEeRglTxZZfKy+pUdHPf5PHWnOVWYyaLQ437Olb9WDOBgjHbmeL5bKofHRVNYWIjheDkpPiyQF6lSVqkCbqpuz9PVl5EicR4vjs7Bvi5dzBYsWMDEiRPZu3ev1nVpLxMnTtSDvc5ZoVbJRREZBexXSv3q9FBrYJ/d3wXaNlfHmCgi60Vk/eHDvssN64P66lh13yNTyWrin32yc9GSiDBQWjOWzgRhqHHh8DfgZVLICSo96uWTaUUAwu8c14zUdtUo9OpJDNUon8/TGbnnblYr9xem6+mA0SlfJtqP/UXFX/no4vBCjp88QXBxGcNp5/UuxN7PP1XcO296KsiqSzFWWloapaWOF47S0lLS0tJqdTwdHU/4HehFJAxIAx539bCLbS6/oUqpN5VSfZRSfWJiYvwdhkt81T/XV+/UoUOHUhFmJNPLLNZKFgfcFi2lEEcYAaxkn0NQ8yfgZapCvmA3Jswe9fIiQm9acogyRpHAE7iezYZo+X1fiZUw7qEHH5HH4/xUwwJ5tdrPEvYSipFIbc0hnAAiCaIaalxUYiXMq6XyNNbxmewiIDCAMaWtOUiZT3ch/vr5Wy+Ov9nd3NalGCs/P9+v7Q0RPfXUeKiN6qYj0B74VZsFtQF+EZG+WGbwbe32bQM+RsE64o/+ub7a1VlMtxL49NDPiBKvCpov2MWj9HIZhEWEkSqez9jlUO1qVorDlBFHOAvI5X9sJ0gZ6Uwkg2lNe5qyiWKbbe/DXMoT/OxwbGcfHuti7S10JsWDmsbXBVZ79nGKAISDlPK5ZjhWSTUhBNCBpvSgOds5hgmlFTgV8Ai9eJr1LhedXVsqmwjAgBGhjGqClIHTR08QSWvKNFdPbw6aqyjw389fWQqyrOqmunQxa9euHXv37nW5vTFgTT1Z70qsqSeAcePGnc+h6bjA70CvlNoCtLT+LSJ7gD6a6mYxcI+IfAhcDpxQSvmWc6gDVv3zNSdjSVbee7E+88IsnlufRnJJ3Xunbtr8K/fzJ+aT47JoyV5B48o73Z5exPCRJr1USpFIFK+yxeYEeRfdHVQ0H5LHCSppT1NuoiPdaM5pqhwcKotUaQ03yV2c4At2e1TTmJWiPRF8zi4+UnkurYadL1hKKTLYTz9asY4iHqUXrSTc5flcQyEfkcdkkoiVMC5W7i8qVvlotAplNpuJJoTBdjJQe1VRMEY2cJgv2e3RQfMApYynq9v37wr7gqzaFGPZk56e7hAoAcLCwkhPT6/V8c4WVhuM116bTWZmNiUlp4iIaEJlZSVlZeUO+1pTT3qgb3h4LZgSkYXAQCAaOAg8oZSaZ/f4Hs4EegFexaLSKQVuV0p5rYSqS8GU2WymY9sEUgvDSPUwO7WSKQdY27YCszKTXBBq0Uz7+Jxteb+zcuVKm/fL6fIyzErxFgMR7bbeWrRkVdckEsXziV0VAAAgAElEQVRgWtPNRWB0xlrwM5PL+S+bOEkVY+lEsodCJfs7hVgJI1MVsoli7pVL3PrwvKI2cynRbgu2nC8OzgF1FQU2mab9hettlcMGDlOGieYEU0E1HYkklxMuLxRZFLKcffyFTixhD3s5hQmzywuKJ08h+/PxFXv4hr3cSmeP582fAi/nz2euDLL9T9RFR79gwQLS0tLIz8+nXbt2pKenN6ggmZuby5gx1xESYmDy5GsZPfpKoqKacPz4KWJirnf5HBHRLSLOIfVWMKWUGuvl8QS73xUw2ZcB1hfz58+nvPAIKXTyaX+r/nnaf59h2tSHfe5Y9d4bC+nWMbFGauhesiwpBwlyKFqarDJ5ln4eK1qdsRb8tCSUAAyMpZPH1IrV614pxYtsIk6F8ZuWFpms1lClVbh+RB6bKGaQsgROT92p/DFps1oDX0Qo77CdXznCZHrQmUh2cII32UYkwTxHP5ce8rfQiRNU8ik7uZq2THHjNT9Z9WAOW2wyUHco4EcOcquXlJQ/BV72WD8faz/dunYxGzduXIMK7Pbk5uaSmprMzJl/Y/z4EQ7/B9HRkcTHt2Tv3kM1nteiRc1GNjrnn0ZdGWs2m3n4nvsZ44PKwoqIcGVJM2Y89E+eeWEWs55+hqxjnjtWvffGQv76l7EufdEvVs1cphwSibQ1CXHXZcl5hm+VXp5ZKPQtN55CHMvIpwlBRBNCEEaXM/HP2MkCct12p7JXongKqPYXmBfYSADCSaqYwiUOHagmqu58QK7tYud4oShkDlu5hniuxbPX/HP8QlOCvC6c+nPearP+8AuHMRoMfN+mnOwVF679gdlsZsyY65g5829MmDDS5T7p6f9g/PhZVFaeWawPDg4ETCxc+IFuWNbAaNS128uXL+d0hW8qC3t6E8Ox48d47sE0FIpp/32GokFtmBG6kbsNmcwI3UjRwDbM+eRdtuX9zpQ773bri+5K516kStnPabZyxKU/vasiHHvppS+Nv39QRTysvme8WsUjrKUzkWyimOHEu1XRPMFlDKedrTuVM/4qUVKIIwADrWlCBdV0JtLh8c5EUsjpGs+zSBYtktIfOeRalsUZaeMNdKAck9v9rPjTML029QkrKCA0wPc7gMbK8uXLCQ01MH78CLf7jBt3NTExUbRs2QwRIT6+JfPmPczHH88gPf3pGvtf6Aodq+Jv1KhriIqKxGg0EhUVyahR1zQIx9NGPaN/edZ/am1DUImZ6SXdyT5dxLSpD7s1qFq6dKlHuwRnX/gzqY/2NXLEnroi2UsvX2Orx8bfzn4xR6hgHYdQKK8z8YG0Zo0qZCPFBCkDX7OXQk4TRzgBGPxWooxQ7fiVI8QRzg5cd6ByRwpxZLC/hoe8PWalaE4wJhT3kEmFqnZ7Z+QuJeVKgROMkQAMZFFIig/NWKx1DOmVfVhbcJABffudE1Mzd4uhKSkDmDRpSg1jtvrgtddmM2nStV7/Dw4cOEp5+VICA898/6qqTDXaA17oCh3ntYz58++wrWV8+eX3TJ/+AA8+aGbRoq/O211go3avbBoWjqmsgue8uDs6U6Iq+Sc/cBdJZLCfHI5RSTVNQsK4sr+js+GIwUOIzSjwGECtwX0M7VnOPobRzidnykxVyHLyGUJbFrGbR+lFS0K5w8tC4cPqe7dWAvNlsNfX3ayKeZscAjFyO11tOfVX2UwYARylgjjCuYZ4W2MRd5SoSqaxjv9HIh+Txx10tx3vbXIcmpO4OwfWxWNn/F0UnqBW1Thvno6xmkK+YS9/oZNHZ07nBW+gXhZjveFpMfTLL79nzpwllJfXfwCJiookL+9/REdHetwvKWk8s2dPcWgPmJGxkSlT3mLr1hzbtoSEBJdS0vj4ePbs2VNv4z4feFrLsKKUYv78b3nssXdZsyarXj8rXxdjG3Xq5nR5GYlartUfMtiPEYOt9d8s+vMmA5lZ3ovYjALuufk2unToRG5urk92CdbCnsXsQYFfRTjVKL7UgnyshNkajXgqVPLkF+MLSbSgEsXtdKWrNCNADJyggjACGE833mAgt5LI5+xinSryeCyrSVs/iaUUE+/zO3eymg/I9RrkwSJZzOV4je3Wi+cw2nlMRdnbEzgXeHk7xnWSwOP04Sv2MJ11Lgu8prGOT9nJ9XSgJWeKo5LNsVQfPcWKFSv8O/k+Yg0gU6eOYsOGOUyYMJLo6EgCAoxER0cyYcJINmyYw9Spo0hNTSY3t/6abJeUnCIqqonX/dLSxjFhwgtkZGzk3XeXcdFFNzJ48FQOHixm0qRJtlSNqyAPDa84zN/0kvNahqfq6gkTRvL003/j+utHnZc0TqNO3YSHhNK/LJZv2Ouxr6g9B9RpvmUvY13I71xp7k+VlfqUGoqVMNqpJvQkxq/Ux3DVjs/ZZQsiqyggjnCPC4UtCHYZ7AM9XLdNysy37GVt0AGOVVdSVW3mdeMWLjZGkVLZmiXsYTzdHBZTb1dd+YBc+nlod2hVooDFhfIp+volWbReKOzxd1EYBa+yhUQibefN12O0knD+ra5gITv4iB0sINcm8UwkkhvoQBkmVlHAMvKZoix3D/amZvXtXunLYqj1/U+YMBKl4PrrR7Fly2/1cncREWG5a/A2ox879ioA/vrXZ9m//8xkq7i4mNdf9+5n2JCKw2qTXvJlLcOeCRNG8NprS86L42mjntFf2e8KyjD57AVjVor/sIm/aPI7b86G15TEEiwWX3ZPWBdGf+UIX7KbH5xmwWal2KKO1DAOe0VtJlSbhX7OTtao/fzGMUbQzuNC4Q10JMjFR1eF2XbcLeqIzZdlqzrC1MBstkYf5skx3dj9xAhO/XsMvz8xjDvGtGN59G6OB1bQlECH47lbTLXHqhQC/LZMAMcLhRVPi8KuzuVH5HGKKsIJ4DvNQsKfhWWDCLfSmeaEcA9JzJPBzJEU7pM/0VcuIlVauzQ3q4upmSusC3p9e/bGZCr1K4AEB0u93V2kpAzgyy+/92nfsWOvIiDA/zDS0IrDauM95OtahhURYdKka5gz55U6jbU2NOpAf98jU8mOOMY99PDJC+ZDdhDoov+qO5LNsTQ3hPANrm894czCqHWGfYwK/sd2W7AvUqXM4EdbmshZgfMNezEi/MhBPtP84nsS7fHi1V9iuY0uNifIcAJoSiBvkFpD2ZOlCvm/wK08P6YHW6YN4fZ+CUQ3CSbAaCC6STC390tgw7SreGFMD/4TuNFBCeRtMdXZpO3iWqTRNnC4hlrHnXrG07m8gQ7spoRiylnCHr8UOHCmh22GG8cOqwJoNO15kU2YlLlOpmbO5Obm2nr0nti5j0cfveW8BZBJk6YwZ84SnxVJ+fm+mxJaFDrxvPnmm14XYhcu/ICkpK4YjUaSkrqycOEHPr+Ov9TGeygzM5vRo6/063XGjBlAVpZvF9H6pFEH+qFDh2JoHk6e4aRH86tMVciT/MwPFDGCeL++QFdXt+YHDrr9p3fVSMPiCLnT5zzzLXTGhGIIbQnCQD6nmEwPPmUnq9V+l6/dX2KZxRXcxsUEYOCf9CZQjA7HHUIbPg7cwQtjLmFC//aec4j9O5A+ujuzg36lUlWTo47xNjlcQ7zb87OGQgeTttpIFpeSz1aO8m+10XYX8rsLe2RfzuVMLudmOvE1e8nhqP9W1G7WC+xJJY4AhH/yA3spqbWpmT1WC48BBSFML+lOUdWp8xpAhg4dSnm5mfnzv/Vp/2bNvOfzwbL4ajab2bNnj09BPi3tEWbPvoPy8qXMnn0HaWmP1CnYe8rBu0sjeUov+bqWYU9kZDglJaf8ek590KgDvcFgYMnypSyJKCLXcIKn6MtNdGQTxUxjHXexhmmsYyOHuZgoKqiulea+gmq3PuvuFkaPUOGQI/YUZAdKa66nAz9ykL/QiVfZzBy2EEEgS9jDv9w4Nz7Jz6ygwKWHjohQQhVxkaGM75fg03ud0L894U0N3MUa5ntQzCilWKP2W6pWSbLJG2tjqWxEeIEruJyL+FS7CylzKuhyzrd7Opepmj6/og7dvzwhIgyjHREE8RK/8qdLaqqF/MG5haGIUFpVeV4DiMFgYNGir3jssXeZO/cbj3fJb721hIqKSq+TJ39TNenpTzNv3oMMGtSTwMAABg3qybx5D/LYY9NrpVX35v+fnp5OWJjjd8jbmK1rGf5w4sRpIiL8+2zrg0Yd6AESExPJ/mkd37ct5wnjeo5Swe104SUG8F+u5GY6cYwKtnHML391K6EEUI2ZL9jtMjXkrpFGBIG1ssE1IpRTzTDaMpPLmcUV3EgHsinkYdZyJ6t5iLUOXajcGaX9EHSAqYMT/bqDeXBQIjFBwQRhYCn5bu+OlrOPSszssJsB+2upvIjdTOESIiWYFInjX1zGMO2uZg8ltv1rU8gV6EW55ApX6wWu6EUMhynjRjqyZ/eeOqkozrS1PHNBDQsMOu8BJDExkTVrsnjxxcX07Hk3c+d+TXHxCaqqTBQXn2Du3K/p3ftOXnrpM3755U3ee++fGI0GRCA+viV33z2K+PiWiEBgYIBPqRp7cnJyGTCgh8O2AQN6sHt3PqNHdyMv739UVCwjL+9/jB7djenTHyApqatb9ZG3HPy4ceN48803iY+P9zm95M9ahpVFi7JJTvbvbq0+aNQ6envMZjPPPvssLzwxk8pqk82KtwvNbKZiU8jiOT/9Z6w68cfoU0OPHUoAWRTyATuotqvbNCK0JpzBtPFJT29ljdrP5+ziRjrYvFqcdeDrOUQfWno97g+qiLf4DQHaNgvlqZHdGdvbu8qh+FQFHZ78ljnVqQ4mbeVUE4LRZtLWliY8zFoCMPAXOpFip2BypV135eZ5Dz1cXqQsvvV7mMUVGES8mrC54kn1M4No7ddzPGn67bGam73FQJ6J2MacT96ttYrCVZ3Ga2E53PXyOI+KG2fmzv2axYtzWLz461qNwx0mk4kOHRJo2TKcnTsLKSkpJSIijOTkHkyePIYhQ3rblD5G49UuC6hCQoZTXe35TsmZpKSuzJ59hwuN/my2bp0PwMKF35GevoCcnHy6dm3HFVd056uvfnapVTcYDC4nHnUxYVu6dCnTpz/Ahg1zfHbB7dVrEs8993K9qW7+EDp6ewwGA9OmTSOmTSv+YuhMOv0IxsilRNuqJ2uzWGhVlcRKGE9zuUNq6E5W8wk7uYhQW9FsuHbH4GsDDHt6EUM51TavFld56Z2c9Hpc6wIxWIy+8o+VMenjjSzc4F23HBkaSKXZzBP8xCmquFcu4VVJYa4M4lVJ4R56oICX2IwgVFDNB+zgAb7nA5XLCVVBNCE8Qk8SieJzdvGQdifi3A/X3Z1Iqmat8A8ymKwy2VaLfPsI2vENe+vU/csd1pl/ffSNdVWnkXy6JS8997FfY58zZwmTJ99b63G4Y+XKlcTERPDzz69z7NhiTKaVHDu2mMWL0xk27DIHOWfXru3Izt7i8Pzs7C107ep/gVBa2gwmTHiRjIyNVFWZyMjYyIQJL5CWZplhL1z4HWlp85k9e4qWw5/CypW/cO21l7nUqtcmB+8Nf9cy5s37lspKGDJkSK1fs7Y0ah29M9ac/YC+/bimBB4x9+RVtliaTKjWxBHGUvJ91txbv/w30dFyfM0X3Vquv0btZyOHOUw5t9GFRKJ4hV+pRlFOda3SRCbMllmGGx24O0Mye1wtEJdWVfP4N9u8zupPlFURbgjg1upE3iYHFLY8vbdK1WXkk8UBKqkmAANtCecfdOU7CuhJjM+za0t9QVuyOEA4gWznGPeTTYjybApnz6VEM58c1lDIQB8tDtx1/3LGXlLaU0Uzow4SS1dtLbvTnE8L9zD3rW+4Y+I1Xo9xNgOIPxJCawHVvHkPMWBAD7KztzBhwoukp8/y+3Wtpmj/+Md0du/Op1u3eNLTx9u0++npC5g37yHbjN+Sw3+IKVNmExwcUkOrfjb8/61rGampyShlkbm6q4ydN+9bZsywVMaerUpqT1xQgR7O5OyvHTqcrKNHGFrSlgqq+YxdhGHEhPLL38TTl78XMbxPLq0Io5QqnuZnyqmmJaFUUVZLG1zLR2LNSwdh4CH1PacxUUk1wRjJ4oDH4OVugXjfMe9SwC+3FHKxMYquZseCKX/si79gF4NozW5OkiQteF1t86vJR5EqZTn7UEAqrbmDbi7ti63FS66o0BZVPyIPFB4tDtZQqHXCMjOFLC5Wnpur2F/86yqxDA8JpbTM8f/EIMLdpV355/2vo5TijonXnLcAkpmZzfz5d/i0rzUIT578Mtu376Nbt4tJT59VayfLsWNvZeHCBUyf/ucaaaycnHyXOfycnHzeeOMB5sx5xSHQW3Pt9e3/b13LGDPmOl57bQmTJl3DmDEDiIwM58SJ0yxalM1rr31NRYWqd/sDf7hgUjf2JCYmsn1XHnM+eZddlzfnc3ZzAx14lv48RE+3C6tWzvRf3cU99HA7cwwlgAAMtKcpy9jHPVzCGwzkb3QhgiA+Y5df497AYRI1TXkG+2lHExaSiwD3aseewiUsZo9HawJ3C8Rtm3mWAiqleHXVTlIrLRcRa8HUmbuL9l5VLykSxxjak8UBfucYk1VmDRWNJ6wXlOG04xn6+WR94IqNFNON5jxGbz720MM2jXUsYQ8P05O3vDiMQs2Lf136xoKl6M9VOjFWwnio7BJmPjiPSxJvr7EY+uabS+jdezL//e9XZzWA+CMhNJvNNGsWQYcOcQQGBpCTk8vdd99dJwdHd1p192midm6lpuPGjWPPnj0+Szx9JTExka1bc3j22ZdYvDiHzp3/TmjoCDp3/juLF1u2b9ny23m1tb5gFmNdYTab6dKhEwP2hTh0kvK0WLiBw6zW+q+6Wyy0UqIqmcr3RBFs842xkqOO8RpbeIVkn9NE01jHDXSgr1zE3WoNRoRwAvk7XWocewG5zJTLXR7L2d0SICzQyGs39/SYupm7djfPL87l8cq+GES01/mdUbRnCXt4kr4+v5c01tGDFlxLAv/kB4/Gc+tUkc1FM5QA+tCSv4t7904rFlO4fTxFX4eLsVKKJ/mZm+iIAj5jJzfSgQwKtYVlE0YMxBHODbSnOy1cztztzcwuItS1uRmFFA1sw7eraleVunTpUu65+Taml3R3eW7NSvEbR8kMP8TvpqOUVlYSGBRI58ROBEkwv+dup7SinPCQUK7s52jIVx/4anCWm7uPMWMeJyQkkMmTx9SbAZvRaKSiYhkBAY5qKGuO3jFN9ALp6eO56aZUQkNHYDL5p7pqjNRbh6nGzBnpWoKDxbDrhtMWVUkABq6mNSNJ8Nr67xcOY0JxhHKXXuylmHzOEa+hkNNUUYaJIlWKGUUl1ZRhcnnsAx6sCfpLLChLrv4IFQjw555tuKVXW5f7K6WY98MeHvpyM7dWJWJG8bs6zhtso4RK3mU7N9PZL5nmMM2+OEKC3DZnAUuQ/5xdDi6ab5PDOlXk1RAtmVasoqCGzbH9rPtVtjCYNvSQaHoQjVkpZvCjV4dR5+Yq4QRQDQ5Bvq59Y+FM0V/26SKXbS1t60Kllvf3FXtYbiqgdHcxvU8152/0tqS1ykxszCjgnvW3YWgezpLlS+tlBmmVEHpSAOXm7iM19QFmzhxfw8GxefMIWreOpk2bZmRkbKJLly5ERISTmpri1WY5NzeXwECjS98da5poypTZNtWNNYdfXHzivGjVGzIXZOrGysuz/sOAkuYuA5RBhG40ZxCtSSSKYIyUYaKCatZwgG0ctXnFuMKSq91PAEIwRnZwwuHxHZygJaEsZIfb6lbrcdao/XzGTkwoFrOb2WxmLJ2JI5xoQl0eOwSjx/RTPy7iGhKIJIi/04XPN+4n6dkVzF+3m+JTFVRVmyk+VcG8H3aT9OwK/rl4CwFVBhayw+Y+eQudmCeDUUitFETWKlNPFbNfs9fBRbOrNON2uvK1B9sJKyLCYNqwiv22c+mccnOusq2NJj8II5fRsoZSKMtQRECLJnVaBLUv+suUAx7/T75iD9+ovfxZdWT6qe4u01rTS7ozYF8IA/r2qxdHS292CBYDtseZOXN8DQfH3Nx9JCVNYPr0uYwefSW7d39AZeVydu58z6v23WrslpTU3q1WfezYq9i6dT7V1SvZunW+LfifL616Q8brjF5E5gPXAoeUUknatn8D1wGVwE4sTcCPa49NAyYA1cC9SqllZ2nsXvl+3Vpm0svlY87pm9vp4teCXxYHOE0VMVEtKDpu8Xe/XTnOSq+nA++wnSXsYTX7Gazca8rT6MN2jrGQHYQTSCpxhGBkITuYz2+MV91sx57Hb4yiPcvIt0gCnY77C4dZxj4qqbbNQPtXxbK0eC//WpTD/Z/9SqXZTJDBQJQxiCsrWzGceL7nAJ+zi7cY5HA344vSxxlrlalZKRSKo1S4vLsp5LTPnalc0ZNoPiKPTFVoO5f2s27nsdfGA2e4ascmim3nxL6XcF37xoKzgMB1W8vMJkc4WHaCsSqRFNXKZRMc63iTVStUCVw3dESd/fKHDh3Kgw9aJISuZvXLl68nNDSohgGbp1m+1WZ5/PgRzJ//LampyTXWGazOkE8/fRtpafPcer07Y5WaPvfcy7V+zxcivnx73wFeBd6127YCmKaUMonI88A04FER6QbcAnQH4oCVIpKolPKvWqKecCVdA38aYBc6dIGCmiqN4FNmAjAwkng+INfWrekGOhBOINGE8BR9yeFYjTRRIlHcREe6aeqOi1QoX7CLq2mLiFjsgRV8yk5eYTOVVNu+/Nkc4FoSiCCQz9jFB+RShZlgjLQhnEOU8h+uJFIsC7MBYuBa2nNtVXt+UEWWtE51BaZqRQtCCRADvVQMH5PnEOTNShGMsVYKomAMzOBHAjHYmquIwqG4qjadqeyxXFBMNn1+NyeljNVR0zp2T43R3dGTaD4mjxJV6dBL+JnHZnHfXZP5ft1aTpeX1SlPbhUQrFixgpeef4EZ637gdEUZ4cGhXNGvP+Ov+n+88/wrJJfEug3y9iSbY8k6uq3OlrjeJISvvfYlkyaNdtjmPMt3h9Vm2WSqpnfvSxk4cCCTJ9/L0KFDbbLOYcMuY+rU/3N7oXHmrbe+Pm9a9YaMT4uxIpIALLHO6J0eux64SSk1TpvNo5R6VntsGfAvpZRHofHZWoxtGhbOzLJeDouAvuZoraxR+1nOPh6hJxspZjn5VGLmbpJIIIJTVDGddZr1sePxalPRebdawywXC5fuctk30IHuNOdRfkABLzOAB8imnGqXXapcLdQGYeA2unAZLbmLNcyVQcCZu57TmLjBi6+7/fHt1wYG0Iq/0wURcbkIvoUjLGK3y/flLUcPZyqXX5UUl487fwauulB5w6TM3MlqAjDQ//J+/O2O8Tz35EzU8VLb7Nv+bjAr4mi95snBdQWtN+q6UGyPfbcrewlhTMz15OW975BDX7r0J9LS5rF+/f95nIXbV7ZGRYVz+eVdKSo6SXm5mf37C9m58z2ioyNtdwdPP3272wYfSinmzv2a+++fw8aNmy/Yxu3OnMvK2PGAtTSsNbDP7rECbVsNRGSiiKwXkfWHD/tuc+oPrqRrtcnRVqN4iLWsoZCxdGYWV9BRIjGKgUgJpoxql1WYrlwYvVHpptDKUy47lAAqqNZknvlEEuzWG96T26a914t9Ve54uvjkSuls2ayAHznIOg4CuKwuns92TlDBq2zmTlZ7NFNzhX3xkiuc1wdq65kfSgDjDBezb98+/vngQyTvD2V6ybnJk4PrClpv1KdfvjsJ4cmTpTXkl65m+c44V7Z++um/+PXXnTz00I1MnTqKkpLTDBz4AEbj1dxwwxM8/PDNvPjip/TufadH353y8qo/TJD3hzoFehFJA0yA1e/T1SfrMjoopd5USvVRSvWJiYmpyzDcct8jU8mKOOoQoGqVo6UdbQjnCbmMHhJdQ40TgpEqzKxxcrisTW47REuTOOMpl12GCSPCTk7wBbs5prUF/Io9NRaUPbltWoOmc1VuEi18cqV0dxF5h+22JiFTyGKV9hm8QjJzZRD/x0CaE8IY2hNOAJdzkS+nCqUU33mxLTjjqGn5bOpig5FsjqXswFF6lUR4rK62b1xz3dAR9dI6zl0a0hP16ZcPljTOsGHDWLToKxYu/JCRI4cRFBRQw4AtM3OzV5tl+8pWqzvl++9P55lnFhAWFkzLllEO9gavvvolaWnjePbZO1i8eC2dO/+V0NDhdO78VxYvXsuzz95BRsaLNG0aUW/v90Ki1oFeRG7Dskg7Tp2JpAWAvYavDbjx960j1m48IwYPoWlYOEaDgaZh4YwYPMRWnGGTrhnOFBfVZpbdmxgO4v4L04VmpBLHR04Km9rMHjtq7fCcseay7bHmsjdwmNY04QWu4C0GMov+XEcCWzlSo+jHXTFVC4L5jgIGEsfX7KEUEx+RZwvOkQTzqdYFy93M3t1FpApzjYYr9gVJIsJVtGEDh/2yObZKUj3ZFlgdNT/RvP0HEue3Z77VA8ciG23DQTdFWs7UZ1/Z8JDQWt2J1Idfvj25ubkkJXVl+vQHGD26G4MGXVpDFVNSUua1yOq33/YyZcpsjMarSUoaz8KF3zFgQA/b9oULH3OyKH6Ixx9/myFDerN4cbpL353Fi9fqahs31CrQi8hw4FFglFIO//WLgVtEJFhE2gOdgZ/qPkxH7LvxxGYUMLOsF2+oVGaWOTb3zsvLqyFdq62CpIKafU2tLe22c4wv2Y3CUnL/GD+SqQrpSFO/Z4+xhLGM/BqB6BrieZscctQxTMrs0Bgkg/10I4qn+Jk7WM1T/EwgBtLpxzDaOlSQumpDGISBrjSjhCoWkstqCokimDM3Y4oyTAQifEyeW398g5tVwhYEe61u7U0MB7CM8RPyPF5QrJLUL9hFJWay8SxL/F2zqP6cXcxhK/mcYhI1Wy66wrkSthcxNS647qgP0zMr7ipoPfELhzGYqbf0kavfjbwAACAASURBVKuG5ffddyNz5ixyOP8REaEebZYXLvyO2NhmDjP2tLT5PPnk/4iKCufo0RI3FsVFJCVNIDd3X41jnk1jtwsBX+SVC4GBQLSIFABPYFHZBAMrtNvXdUqpu5RS20TkY+A3LCmdyfWtuLF247m2JJYB5gSvzb2zf1rnIF0LKqmdgsRoF8Q8STN/4TBfspuPNFXOIcr8MlHbzjEqtVSDvR9PP60IylnZU4mZEir5jv22tMkRrZ0hQIq0Ril4lc08pS6vUUzVgmC60Yx1HEJhxkAwEQQyiNY1FhlXUQBUcpgyfuSgg4KoA01RKIyIg2VzEAZu0Hxh7HFu7P04fTBhJopgjlHJh+zgW/IZqeJrSEe/JZ8SKhlOPN1oxnxy+I4CrnIhX11GPsepJIZQrnJhxOZORutcGWtN1/nSnMSeupqeWbnvkancs/42kkv8MeTbT9/K5rbvQV1y1+4alg8d2ocHH3zdQRWTknKJxyKr9PQFLFiQVsOQ7PrrH+fmmweydu02srO3OFgUZ2dvoVu3eB544CZSUx9gzZr/kph4JnlwPp0hGwONygLBnaWBOzLlAGvbVpCzawcAK1as4Prh17hUyHjC0k0pj9cl1bZIOYb2NCOY1RTyu1ZWH4LFXXEgcRyjnIXsQBD+QmcGivfq2NVqPx+RRwXVBGHgFjp7NOPKxNK8Q4DjVNbYpwXB/FuurGFJ4KzjP0UVJ6kkGCN/phNXEstvHCOD/Q7vLZFIYghlLQdoQhDP0M8WAK3KFABBMKNoQTA30NFycXGD1a5gJPG8w3YUMJJ4UmjFHkpYyT5yOYEBoRozJhTBGGhDExRwgNOUU40BIYogzfzNTAhG2hFBAae4iQ4keziPWRTyObt5mEtpSpBHz3xvKh9nTMrM3YZMTH76sTvj9/++nT1EtqHI9j2oraZ+6dKlpKU9wPr1Nb3XnVUxy5b9zPTpc9mw4Q2X59ydb31w8DDM5u882huMHXsVc+f+f/bOPC6qsn3j3zMz7KDgvuKOomQpaLijue+o6U9tM5dyL6wsySwVs3IttbK07HXJJVJzBRXBDffMHTdAUXPBhR2GeX5/DDPOMGc2xNy4Pp/308twOOc548z93Oe+r/u6NjJ79hqOH1+EJElGwm7PWyP2mZRAMCdpYA75ucQdOnQARxXbs6/YKVWcBAh9k7INlYjgstlhq/A8k+/OVGUP11jLRRP+eP5r7OIa67jEZwQQx11Wcs7soNVhbrKdKwi0I/kTiJVdu65mrpMk2EACe7huxOPvTXUWcQoHFLxKDXzw5DMOmL23HVzBGRX3yeYkt3khr9+hY+xUxoOmlLNLkriNqMRmEqmDFy9Skkiu0IUqlMWVZLIoj6usLPIOruCJE8VxIpCyRtfU0Wj7UMMGqYOKaARM4RBKJGrjJcvJB205xBLLJz8Kq05uKMEt7guzn1+5J5HC4NRbkiv28alMdPRsevb8jAUL1vHuu91JT89i0aJNDBliLLO8YsV2ihd3M5uxg7y8QadOjfnkk58YOHAalStryRshId8TE3PysStDPg14qjL6wuASd2zdloM7d9M9T4nRGqJFEn8RT2XcaUMlVnKeNHJkh610MPyyKZFId9DgpHDAORs6CW+bHJeGi2imE8hlUvmRk6QZNOIckBhMXQIog0KS+FDskW2E6jJ6MJ+JRosklhNHcRwphQsXuW/1SWIXV1nBeUrjzOQ8YbVokcRqLqBB8JUFATM5pIhsPmAvo3mBepTgCw7yCpUI56JN7/Ny4viQBtSQHrCSjovbhHORzwiweUPXCaH5SSXNHjORA/wfNc0ekx+FyWUHbemycf0GuGdJtKOyze5dD7sOW8TNNBoNkZGHmT9/LTt3HkOtzmX27BEMG6bdIHSZ+oABbVi+fDuLFn2oz9jfeGM6X389TB/kDbFs2TaGDZtJevqDz7ijowoPD3eWLfuddu3aWXxS0Wg0REREsGDBd8TE7CYlJRUPD3datmxuVW/nScczmdFbkjQwh/w10jEfhvDmzr38yUUQWAwiMVzld84DghcpxQ6ukInaxAwkPwzrz+u5RKtmLRnzYQhD+gzgaMZNi9OxOmSTizsOpJBjUhPOQZCDRn98L2rIDkEZ1sbz15Z197ecOBQocETJDTIYQC29jaH5e9PW/X/nPBohkNDSVptSjm1cMTH2PkmySRnI0EBEZ7hSF60uUWtRkdVcsDEbr4BGaFjMafqJmvpSmgZBfzuF2NoIrW6OoUCaIXZJ17hHNr7CS/b3+VEYomf54ePjQ64k6EY1YvP1Scx9luDhewW2yBVr6ZeN6NChEQAnT8bTuPEIfvxxMyNGdGHWrNV6SmW9elXzMvYE3N1d+Oabd42CvOEwlVIpkZNj/B3IzlaTnHzP6hOK4aDXyJFdWbx4qJGq5oQJ7xMSYr+q5tOGpyrQFxaXOF1S00FUYhMJbCaBTvkafoaZ0WcEcJa7rOYCajSUx9Uuw+/tXGHX3t1IMyQ6ZJS3+WlER81cxXmj5qYO4VykWd465Bqs+WvjutJKisjO08JJ5A7ZOKGiF9UpgRN/cklvY2gNLanAZhI5RTLJZKFGUA8vormqb3bbqif0Nr44ozRqeLqhsvl9bkVFtnKZZcTRhaoMog4fs8/+AaM8qYP8eKBt8y+l3Mqy9/q/NtXJC0P0TA7pWZn4U5rGkm3zBvDwnHoPD3cWL97Mt9+G68spoaEDZTNwHcqW9cLBwZEvv5zDvHlaMxIdm6Z//1fo3/8VfW3eUCsnf43eyam97PmtVSN0LKGpU98okN7Os4SnKtDLufFYQ/4a6XczZtNBVGY7l1EiEUAZ/uaWxcyoPG4gYBXnaUMlO7PEivyefd7up5HaeHKEm9yTabIC3MlXqmkilaMJ5pueh7lJLhrGsYfiONGScsRyQy8F8a34p0BiX39wkbtkMZ6GrOI8FXDTDhgJT5sdqeZwjCoU0/9+L9fpRBW7ZZFXcp6VnOdvbhXYyjEDNSki20hQTKdtsztC2wtp3jgQkaLtAZktKRWi6Fl+2PM9iOU6W92ucTntLu5uLqxYsbxAjk81alRn6tSlLFky3qhBCpgtt4wZ8x337qXwzjvvEBYWxrlzcbK1eR0dU1cWym8T6O1dhoSEGybXsPT5MMcSkjvH4MGdEQKCg7tz/Pipp7aMYwlP1R0VhEt8VLpF08Am+p/3xO4liAr0ogZOqPg/apkYYI+R6uMnGZtRtKICakSB5HpzEXY/jbSmIptIMNtzViLZNfSzkyRG8gILpdZ8IzXNEzB+IAVR0EGyq6Tp1SLPcpdOeLOdy3zLMRrlbaKj2MVgsYORwpi7rnOk6k0NbpGh57OfK+BalEj6gSwVigINGDkqVEx0OcpwRQwTXY5yPagS81f/xumL5/Dx8dErTe6pnMk0j5Mm8wQxXGWax0n2Vs56aEqjOdj6PYjlOpvL/Msv6z8lM2sra9dNITT0I1asWG503IoVy/Hz80WpVOLn52vye4C7d++wZMl4kyGmsLBlJsfqaurJySkAJCQkMGzYMF55pQOvvTbNxPC7TBlPGjceQfHiXVEoXuHUqQQjHn1Y2BBcXY0H/RwdVbz0Un2z965Tv8yvqmkOgwd3wslJKpThticRT1Wgl5M0sAQhBDFuybw3/gP9a7qA+ze36Ii3XVljLhqLwdpwiEo38v8x+1Ai4eTgSCo5Nl0LtKP7Otqgg8yAkzsqmydIDYd+dGv8jbNcJ50hRDFSxBR4kEyNhpt5QToTNQ0oxT2yuUcOcdzlJUpZnIoF7SbqiopTJAMUOBvPRK0fyKqLl91JwWFugkaDQNCuVRtWhq9h47atdOjQwSjLM7SqvN66ksWN4VHA1u/BVrdrLFkxIV9wDiEsbIr+mBUrlhMa+hHffTc0b3hpqOxmEB9/2axHa36Ehv5s1DgFSE9PZ+PGjbz++hD69PkCZ+eODB8+m+zsHLKy1KjVuaxdO4WsrK1Ur17eyCZw4MC2vPdebxwclEiShLd3GcqVK8WXX35l9t7tMTUH7fd7xIguzJ//rU3HP214qgK9nKSBJcjVSHWj5IYZrFyAzp99gnkdGtAOUU1kP39wIV9wa0J/auGV68AUDpn1OM0PhSSRTS4aBG9QWy9dUBIn3qQO4/HnTy7a5X17gwz9GrtRla9pog/AjhbuzRy0UsRKfeB2QkkiqWSjoS81mEQjmzxfDQ1EhBAFzsaVKPTvr/Z89kkdbOMKShSMyfA1mrCWmyzV6b5s3hHJvfRU1Lm53EtPZfOOSJONobBh6/fgctpdM8H5wf2EhU1h0aIQi5sBgK+vj1mPVkMIIWTLLACJiYlMmzaNsmXLMXnyW9y7l84XX7xFsWKuRk8LU6YM4q23vjbK/Bcv3sL06UPRaLYzceIbuLsXt9j7MOc1awnmvGafBTxVNXojLnEBa6TNAptyNOqKPoO1x4CkVp4gVn5LPJv07XPLEyOjb28OQgj94E99StJMMm3+jRcN+Y5/ZM1HDuc1XHPQ8BHaWqelNfpasPszhyPcpA5ejOYFdnGNlZxjPsfpS01aWWXuPJiKnSwa04BSLOUskzmEIwq713KUW1TATX++epTgd86ZTBibg+7p6FVq8AtnmExjkwnrJ6VRZ+v3oLKbp2xN3Nf3wX2cPh1ndTMACA2dyODBH7FoUYi+Rv/mm9P59NPXyclRc+9eGmvX7mbBgo2oVCpZv1Zvb28UCgXh4eto3NifmTOHM3hwZ4YNm2W0hv79X0Gt1tC9+6ekp2dRuXJp1Go1X3+9kvT0bObP30B09C6Lm6k9puY6FC/uRkqKeemGpxlPVUYPPHSNVPfY64yKeFL0Ury2ZJ918TKRI86v9GhJ0bCVVJGeVGMex030VfI/VQwhCiWSWZEzkJf9fZdoxrOP1ZynCeVIJ4f5HGcGRwnOmx2QW6Mluz85CCGIIkkv9tVSqkAVPHBCSSsbA3QLyqNC4hTJuKBCg6A1FXFBxWYZ2WdLa9nBFXpRTX8+nZjZn1yyqptj+NTTkgr6czwKFcrCgi3fg8zcXAYMCMtXE59FaOhE/XnMZ+rG35v+/QcQFvY1o0f/hLNzR4YM+ZbSpSsyfvwiXFw6UavWW6xfr5Ux/uWXX3B1NU5kXF1dCQsLAyA+Pp4aNSozZEjnvDV4m6yhUqVSVKlSltzcbVy6tJzKlcvQt28QM2euIioq2uqm6+HhblFvRw737qU9s16zT12gh4erkeoee8vgzPecsClAt5QqEEx1tpJIKjlGcsQF0bfXoGEE0foS0dfiKB+zz6TsUwcvyuFqMQArJAk/qaS+ofwTQXjiRHPKc4AbTCCA22TmrdF8AH4g52t/3R+0G1USaXazZbQbTFIe/VNFS6kCXxIoK/tsbS31KGnkIVtOcmU8DdlKIp8QaxoMxVW+4CARXNY3lPP70ELhqlAWJqx9D5b8uYoZM77VB+fRo38iLOxrI9aNNlOfZbQZ9O8/lUuXEujevYteCRa0wf7EidPk5uZy4UI8hw8f5c6du6jVau7cucv69Rvp0KEDr732GgsXLqRKFe1noUqVKixcuJCBAwcC2vr5qFHd9J+T0NCBDB48w6RJGxqqPV5bP+9BfPx1qlWrREKCdT9hnam5PXiWvWafqsnYwkJcXBwN6r9IsSwFYbxs8+RkKLH4UZJdXOP/qElLKvAdx+12kYoWSRzmJmOpTzwpzOEYvalhMo16XNxmDedRI2x2xNopkthEAl8SyBQO0YcabCaBl22QJbBUgjJ8H6LRZsCf4K8vQR0Xt5nHcWbQ1O6p2E+IpS81+ZtbjJHq69cSxiHZ98VwLYbj/uUkV9kJ4GyRy3CieZFSnOEOWXmWjD540oaKJgNGcuco7AnXJwVxcXG0aRNERkYad++mULt2ZSZMGEjHjo1Zt24P8+dvIDOzYANFK1YsJyxsCqdPx+Hr60No6ET69x8gO2VrOCAlx9G/desetWq9zjffvMP69adZv36jxWtv2bKFCRPe5/BhU20eOQghaNhwBNOnz30o68X/Gs/kZGxhwcfHh4AXG1L9QLKx16WVKc52VOYfbtOZKvzBRaJI4l8y7PYgbUhpVnMBCYnFnOZVasoGYW2dWRBIOTsmebUCbvM5gQ+e/M45bpDBu5i4QJqgDC4EU501XGATCSbKkYe5yU6SSCXHZIQriiTUVlhJctBN7O7gCn0MJnnLSa5MEP6EcZgdXKGtMD/ub2gGLqcuqQvso3nBqsyBuXMUlgrlkwTdQNGUKW+YeMEC+oGiRYuMB4rMBXBD6Ng8hjX9wYM/AuTr57oBKnPQ1s/T6dmzOR9++LPVe7Nmap4fz7r65XMZ6AGOHv+b3gYDTLY0ZbPJ5S7ZvI0vW0igDzWYzbECBzdrZR+FJDFa1OcrjtCGSmwlUbbxeoSbbOMKt8lkOPWonlfXj+Qyt/OmVq2t0fD+e1MdF1Ts4zorOU8malQocEJJH2rQnPLs5pq+8amQJM5yV89KsnegzRGFURlIh/KSG31EdXZz3epQm+H5dHaIOugcovKXmyytKf85Ctut6XFDN1A0Zcob+lq5HCRJYsiQzgghCA7uzoQJE5k4cbxsADcM9oZsHkDP5hk9eoq+fm5JNyc/tPVzV5sbptZMzXUQQhipXz6Lw1LwHAd6wwEmm1gzojy7uMoyznGfbLLQ4CeVxFmozAa3WHGdjSTo9eO7UIVAqZw+kNhia1hOctWza1RI1MaTQ9zIC3pqHFHiiBIVEp8SQAXJDcBozUuJsxiAzd1/YwNLP8MyiQ+etKA8O7jCKZJJFTloEGSTy2QO0VvY7vl6mJsokBjFCyb6LAD+lGENF/lUsvp0Cph6yOrsBuvgaaItb+s54NG4NT1ORERE4OQkMXiwbQNFQ4Z0Zv78v/jss1CzAdww0Fti83Tu3IGwsKVcuHCVmJh/SEnJwMPDhZYt6zNiRA/atw8wCbja+vkLdjVMfXx8iI7eRc+e3ViwYIORqbkhS+h5UL98NrcvG6Dj09vDmmkpVaQ/tZjPCZzy3jpzHqSx4jrhXGQAPvxIEAPwIZyLxIrr+kBi6zSqjl3zKjW5RjpnuJOXCSupgxdD8OVrmuqDfP41V8TdLHPHvvvXNqXncRyBlqv+BxcJ5yJjqM+PBPE2vvr7tAYhBFtIpC81zdJN7TH6MLT90yGGq9wikxPcNirx2HMOMJ2wftoxf/63Rg1Ra9A2RLty6VKibAA/deosnp7FUSqVeHoWp2RJT1k2T61a1Thx4iSbNx+gR49mnD+/lKysrZw/v5QePZoxYcLPJi5SWveodYwc2dPuhqk5U3NDltDx46ee6SAPz3FGr+PTe+FkF2umFRXYzhWt/g1aWuL/OEOEuMw1g8x9IwkMwhdfSat06IsXg4Qvy4hDhUQfanCMWzaXfRSShB8lqSO8GMZOKuHOFzSy6YsaTDVWcE5Ww9xe1pBhJt+AUtoZA+qb3Ody4gikHPvEdbNiazF5AmjNLVxbV9qxBYalGV3TeI3yEh7Fi9PhTmnKYTnI5z+HDo9ChfJxIzo6hl9+GWbX3/Tq1YIPP/xBlpvv7V2GQ4d+0CtDTpjwMwMHhrFsWai+xPP22zO5ezeVb74ZZlJKMRUZe58PPniV7777k4SEG6hUSm7cuMP8+RuYPn2uXevWDbc9TU3WwsZzG+h11mzuKbl2i3m1FZXYk0dDTCWHHASD8KEWxTnHPX7hNLfJpBbGNchaFOcaaZTHjbqU0CtU2lPTTiAFF5S0tUNczY+S5HCWGK7SKl+makv5yBCGcr4j8COTXNn7vEoae8U1fuOsicWhEFqZ5d85zwBqWSylHMkr7cSIq1Yb0Wu5xCheYLd0jV3uWiGyoxHarLJ540BIkSwP2clYB8KjU6F8nEhNTS/gQFEGgwfPylejn8GXXw7R19xLlSrOwoXjWL58O4MGfU1i4g1q1apOTo5gxoxhNomM7dt3ig8/XKinFavVuQwZMoNSpUo9U/8O/xWe29KNjk9/pgACWg0pzdU8I+tNJDCMevhKXqgkBb6SF4PwxQWViYn0Oe7hjFJfjzZX9jGH6yKdORxDA3atWSFJDMePFZwzkUwoiJhZA0oRx119r0HuPl1Q8Us+jXyAbDT8whn+Ip7iOOqlluWgG8rqS022ksgXMqbkMeIqn3GA3zlPipTDdy5n7BYiixZJJnx63fVjpGts9LjOXxGbn6lGnaOjqkADRY6OKqZM+Yrevb/A2bkDo0d/p7f4y48BA14hPn4FCxeOIzMzi7Jli9ssMhYZechkdiQ7Ww0onql/h/8KVt8xSZIWS5J0Q5KkEwavlZAkKVKSpHN5//XKe12SJOlbSZLOS5L0jyRJ9rmE/IfQjZFnF1hAS1s3vkqabEabgZpfOM1pcQe10HBa3GEhJ+lONX0gsWcaVVdL702NAq25Ch7koDEJmAUVM8sklyPcxB0HFnLS6D4XcYoB1JLV0QfIRaBGw3u8aDGb15VRmlNedgL4E2L5m1t0oypqNLQPesUuIbJ3pRg+kPaxTplAbTz5kJcohfN/pkL5OOHgoLJ7oOjPP3fh4KCiZMmSVKtWAbV6GydOLLZIiwQt4yU7O8MukbHLl2/Kvn7tmm0DfUUwhi3f8F+BecBvBq99DGwXQkyXJOnjvJ/HA52AWnn/exn4Pu+/TyR8fHxwdXIhPct+SqAyr5xQDlfOcQ9fHrgOneMeTii5TSbf8Q+Z5FIaZ/pS08gM5IEeyzWrui4nSUaJRCsqsJoLBaIxuqBiCi9zimR2kMTvnNNaHRbgXM4o2UwixXCkDp4sI45rpOGUxwDaQiJuqIwsEA3xCpUpizyLxVwZxY+Ssu5PaqFVnCwXdYVRh95EUcKNDRFbTIKzXK1Wa38XyZyvZjApdh9pWRm4ObnQNLAJ88fPsWpT97RCo5GYN2+tiSGHOegaokJIBVKGTE1Nt0tkzNu7tKw4mre3t8zRRbAGq4FeCBEjSVLVfC/3AILy/v8SYCfaQN8D+E1oU9RYSZI8JUkqL4R4YrfhFk2bcTTqin0CWtItGtR/ieslSnB39yV+zDnBO8LPqEb/BrUJlMrpTao74G0U5HXogDerOM8KcY5sck1s9hSSVnc+nIu0pTKSJFFbeLKGC5wSyWYdpUzWnMf00TV1/SjJt+If7pBVIDGz0riQg4YJ+KOQJHqJGkxkPy9Tlliuk5XHd5cL9O4o2cM1DnNDVowtiiRy8w1CWYKhfIK9QmTPa6OuTZtWHDt2yI6Bok3cuZNC69atiInZzeLFQ+26Xnp6ll09gbCwISY+sYZ6OUWwDwVtxpbVBW8hxDVJksrkvV4RuGxw3JW810wCvSRJw4Bh8Hh3aV1TtkWKfKMvP7QMjNss+GqOPjiM/2g8C2bMJk3kUAE3evGAR2449GQ42Wo4oNSXmjSglMmA1griaCLKc5gbXCNdX0svhwtbuawvjOianAhMgr1GCE6gNcrOJpfBYod+MzlFMoOow2YSZRk55u5/c57mz6cE6LPtkyQjIRFFkhEfPz/rJpjqqBGEc4HOVDEZhAJoRjn6WWnSGsKQ964TIhMp0K19J05fPPdMZuQPi5EjxxASMpJPP12MEILBgztbGCjaxMSJv+DpWZxRo8ayadNWuxu5+V2krGHgwLakpKQzYoSWYePt7U1YWJheL6cI9qGwWTdy30zZQq0QYiGwELRaN4W8Dpuh1/ZOu26TD2g0V/k34x5VqlTRv/bPoSP0EeaNrA2HnnZwBX9Rhu15aost8um4GA5oRXOVVZynP7X4lTP6WvoBbpi8qdloCOeCkZ2gbjNRINGL6iabyVXSWE886jwxM1uy+hiucpcsPqORUbZtzjjdrMWhgAguM5nG+oC+UySxnkv8w23+j1pW1wIPeO+G8gmgFSLblXySyMjI5y5btwXt27cHVIwa1ZNZs9awYME6RozoITNQtI6srBxGjuzJihV7aNeuXYEmW5s0qcu6dXtsenrQQaVS0rVrJ6u6NkWwjoIG+n91JRlJksoDumLaFaCywXGVwEYJwscEuzTuucY6LtFBU4mWgU3ZfSCWgwcPsnXndgSCv8QlsyWUcpIrU8TLnOQ2P3GaXlSnpRXN9iAqgoB1XEIB+lp6cj6/WB1uG7z+YNrV8mayi6v8wUXWcMGqlo62bn4JDYLz3MNDOOhLLqe4Y7dxuo6PX0+UIIarrOQ8CkCNho/YS7LIMpooloM5WQNJkmiRWoI5X80oCvQyMJQI+OKL1/H2Ls2CBev48MMfSUlJx8PDlRYtXmDatCEkJt5k0qT/6SUCdMqQ9gTt2rUrM2PGKjt7AvZz5osgj4IG+vXAm8D0vP+uM3h9lCRJv6Ntwt57kuvzOvj4+BATuxd/vxeJJJF21gS0cKVYihOtmjbnfkaanjVjqYQC2jIOQqIkzjZrtreiAltJpCQu+lp6SZyMgroOXjihFhrSyGEGR+lBNaubSUsqgpDYTAJbSJDV0jG8/zZUJJZ/+Yt4fcnFAQklEpdJ5TMO0EWYD8yG124tKuo3GTUanFFQn1Kc4g5v42vU80BgdE7dQNQ6LpmVNXgWhcgKE4YSAc7OCkaM6MLixR8ZZfQTJvxqIhEwYsRoJkx4366gvXPnCbKyKBIZe0ywGuglSVqBtvFaSpKkK8AktAF+lSRJg4FE4NW8wzcBnYHzQDow6BGs+ZEgPj6e8i7F6Z5anqi8koklAa0WmnIsTT6LWpjyxPOXUAxRkAGljsKbPVxjB1doIcrTixosycdRl4BUsnmXaByQKGHHZqLLrntRHQUSO0iSvX9fvJjCIXpSjd84yzyppV7qYZCVwCyHhpRmGXGMoT4atA3nC9znbZmJ4qWcJUCUMdp4bpFJPyvyCc+SENmjgE4iIDIykvnzv+XDD38mJSUVDw93WrRoxpdfmjKPCqIMmZMjsWnTVlq3blUkMvYYYAvrpr+ZX5mQZ/PYNiMfdlGPA3O/nkmLW4vuMAAAIABJREFU1JK8IJXiBRsGiCRJMgnyOshl2zqc5W6BZY2L46itpUtaGz5z0gLfin94iVJ2T7vu5CpjpPqyFEaAGHEVNYKXKMVCTgGYlXrQSSBYggsqchH4SVoGUBsqsYQzZiaK03mXaKON5zaZHOWWWUOVZ02I7FHBXuZRQZUhi0TGHh+Ktss87Inda/eEqFeeYXd+lDTzOvBQA0paazytIXggZflGasZiqQ3fSM30QV4IwWnuFHjaVQ757fayDBgy5gbGrpJm9Zo6c3F4MKFbATfZSduKuPGz1Jp5UkvtZiSVpCGlza4Znj0hsicJuqA9a9Z6/P1H8vPPG7l16x45OWpu3brHzz9vxN9/JLNn/2UUtG0RGTt27AQXL16ke/cuRkJp+R2vimA7nlutm/wwlC22Fb2oziJOG73miIJe+RgghiiIvo1uQCk/e0dOlz6KpAJP+2agJkZctWrwESOu6umMusCcf2CsAm7mLqXHYW5SO+88ug2wC1X4hdMMEsaloF5Ul12zOWXLZ1GI7ElDQco+YPkJIi4ujvr16+HsrGDkyK4sXjxUL5S2bt0eJkx4n5CQgjlePc8oCvR5cHN2IT3DvgBcn5I4OzhStkJ5EhMTkZB4WZQj0EDH3RBCCMoYNFVthSFPXMfe0U236mrp2sxYMBw/vudkgTYTJ5RWDT50+u6v5m1m9gTm/O/FDpLom3ce3QYYKJUDAcuJ0+v4G84l5F9zfoMQHaK5+swJkT0KLFu2jNDQUBITEwvEVS/MgTOd49XUqW+YNHpN1S1bFJV37EBRoM+DTrbY3gnZoOYt9T6icXFxdG3fkWnJJ2mRUsI4M5ZuscsjGbWLG5tvJNg1oJSfJ2443aqDWmh4l2j8pJLUFp4Fmnatg5fes9UcorlKGjl6OqMuMOskEErgRG9qWG3ExnAVjQEt0nADDJTKWa3vg7xBiE7Jco3yEkcjjhc18yxg2bJlDBs2jPR0rUBfQkICw4ZppYv/68EknePV1Klv2KRuKQQEB3fn+PFTRf/GNqDoHcrD2I/Gscsj2SaBMcgLKG7JvDf+A/1rcsJZwxUxTHQ5qldUjE+6TKaTxC4bxwsKYn9nj1ia7l42k0hpnM3+jU7JcYPHdYS7E7sV1/XHBkrlmCq9TBiBqBFkkWvxPNEiSS8pLKFt8t4kg+12rjmCywRS1kjJ8gsOslq6yLc/LijK9qwgNDRUH+R1SE9PJzQ09D9fS0REBC4uCpvVLQcP7oSTk0Rk5LNl1v6oUBTo86CfkFVYd0YC8xrlukfZzTsiuZeeijo3l3vpqWzeoZ3QVKlUzJg3lxWcZ6dIshxYDRqg9tjf1aMEOXnTrjbdC9eQgOPclpUCjhZJhLKf7aXusu/QAWIPH5SV/HVDRRsqsVq6SKh0QPY8n+fJAY/iBc5yRy8PPAF//YSuLYjhKvfJZglnjJQsa0teVKxciUGDnhpm72NDYmKiXa9rNBq2bNliV5N0xYrl+Pn5olQq8fPzZcWK5bLnLohQ2ogRXZg//1ubjn/eIdmaQT1KBAQEiEOHDj3uZRAXF0fzxoF0SSlneUJWcZ2NHtcLLF+r0WioXrkKN69exwsn2lHZpKm6lcQ8L9X6NtnffcFB+lADP0lbzrHkg2t0LwYqkWVw0df+47hrVKcvjTOKoNpsidqmvwed6uPefKqPYz4MAeDbb2axa89u0rMzcUKJGw6kkk02GlQocEHFy5ShM1Vww4EEUpjDMXpTg1bI2xrmX7OhdvzD/rs8b6hatSoJCQkmr1epUoX4+Hij1+Li4vSDVSNHdqVHj2ZGTdL58zeQmWncJF2xYjmhoR/lMymZRVjY10b+sgCensU5f36JXbIKt27do1att7hzxzzz6lmHJEmHhRBWDZWLAn0+6OrsmuQ0+Tp7nnPRXxGbHyqYxMXF0eilhjhkqKmEO+e4pw+stSjOZVLpRlVaWZhs1SFGXDXRjYEHWjcqFLyCPENHjWAUL1jdTFJENhNdjnIv3T6zCo1GQ53qNWl+2dlIS0gjhOym4okTdxTZVHDzMnn/tRvgZbLJZTh+VMGj0P9dnifkr9GDViFy4cKFRjV6S01SHYQQLF68mU8/fcCZ9/Pz5bvvhhrZDkZFHWX06J84ccKYraZUKsnK2opKJd9cl0NOjhoXl06o1fJS2M8DigL9Q8BStvre+A8KTaP8zJkz+Pu9yKu51UwCekEycrlgrRGClZzjCLe4RxYaBAok6lGCV6hkNO1rCWqhYbgiBnWubUbdhrD3SSkmdi8JCQmy73/zV4LYtS2KfftjH9m/y/MEa6wbjUaDn58v48Z1t2kK9uefNzF79l8cP34KBwcHMjO34ODwgPORk6PG2bkjufk+R0UZfcFga6AvYt3I4L/SKK9Tpw6HTxyjSUBjRJpEK4OAbitnXm1Ft11CO4z0JrX5npNMJ5CPieVtfPGQ7KNfFnTKVGfl17V9R3bJMJIO55WqMh0VzJgxBx8fH+rUqWP+/X8MzcJnFQMHDrTIsClIk3TBgg1ERkbi6+sjayTu6/vgiUuj0RAREYFrMXe8q/YnKyMbV3cXmrV4gfdG9aR9+wCzm/fatbtp0cJ2M5PnGUUZ/RMAS+WiI9wkwuU6mRo1OZIgIzsThZCoKFzpRXWrGblhWWcex3mJUvzNLV6ilFlZZdnzcJXrQZX0VNKCQKPR8Msvv/DByLGkZWXkCZmp8KE4TShHBmp2e9wx6xBVhP8e3bt3oUePunYpVf7880bWrz9N//4Dzdbo+/X7PxYvXsy4jz7AwcOFVm91wzfIH2cPVzJT0jm98zBH1mxDlatm4/qp+PhUNrqGEIKGDUcwffrc51qdtKh085TBnnKRzaWQfGWd4+I2f3CBXlQnnItMopHNXP4w95MsWPPbQ32pdOvumlKO5hbWvVtxnQ1FTdUnAg9bUlmxYjlhYVM4fToOX18fQkMn4u8fQLuO7bn+7790GfcaAcFBZj8Lh9dGE/PDGvbsmmMU7A1LRM9zua4o0D/jsPYUsI0rCDBqtOpsDdtTmQgu0wFvm7L6GOkaeytnPZRbk7mm7KO8ZhEeHoXdJI2Li6Np82aoFYI27wTTKLi11fMdCo/i+OoIzpxcjCRJJkJpzzNsDfRF36CnFJaGsy69XJJUV4l2krEBt0KSGE191nKJlymrF0izNiS10eM6f0VsfqiAGxERgUhOo7nG+sQraGWgc5NTiwZiHjN0blI6aLn0B+jYdQIexbuhVLbFo3g3OnadwJYtB1Cr1YSH78LJ1RmP4sVQKpV4FC9Gx66d2bRpE527daF2uwDcSngQ0DPIpjX4BweRLSkICfleViitCNZRlNE/o7CU8e/kKluly7gKFRo0uOEgS7+McbuN2s2BqtWq8vc/x0jLzMDN2YVmgU0Z+9E47ZCZjcG/U5t2lIu68p/3BYrwcDCs0cfFXaZL909RK1U07NPWpKZ+aFUEN5Nu4lGiGM3fNK25H/g9ktvXblLBtyovdmxKQHCQzes48McO9i/ZzC8/LbabXaVr+M6Z9y17du0mPTUNV3c3mrVoznujxtj1OX7SUFS6KYLZun/VqlW5fvsmN2/exMnRiVx1DopcyEWQi8DV0Qn/Bg05f/ECzhkaWqaWNPGb3eWRbFfTtJirG1MzGtrF9Ckod78IhYctW7YwYcL7rFjxMc1bvk/Ld/vg37OV2Zr6oT93Evn9aob9PJFSVcqb/P5geBR/fbWEj7fOw83Lw+Z1pN1J4dvgj7h/9571gw0QFxdHl+5dUSsFDfu0lmn4RqHKldi4fsNT+YRQFOiLIAu5IRkdPFxcaRbYlN4D+vHJuA/pllq+0JqmSoWCH0UrlJLtmdPDcPeLUDjQaDTUq1eHuyl3aDo42KYs/GB4FHuWbWbM6umymXJow9eYfGAJSjvq/rk5aj5v8rZdw1FxcXE0a9Gclu/2tLg5aRu+a9mza/dTF+yLavRPAfTaIZ3a4+nhjlKpwNPDne6d2j8ygwU5ISuAEjgxNaMh5aKuMHHYe2juZ1BLU9wsK0eSJFqI8nRJKUe39p2srtXN2YV07JtgLHKI+m+h+zx27NpZX18v7uWJ0tEZtUqFf89WNp0nIDgIlaMD5/YeJ27PMX4bO5PJLYYS6v8ak1sMRemoIjPF9DNoCZmpGbi6W/c4MLyXLt270vLdnmZZPaD9HAcEB9HynZ507dHtmTU1KQr0jwlxcXH41a7FJyMG0aXYbU59FETKVz049VEQXYrd5pMRg/CrXYu4uLhCva45wapksvCQHGkpVSBMNKY7VfmKI1wXlr+QtjZNmwU25Si37FprkUPUf4e4uDhq163D8HGjcfOvxNi13/DF/l8Zu/Yb7uak0vLNbnYJjtVt04jVExcQMW8VdYP8Gbd+FpP3L2Hc+lmUrV6J0zsP27W+U1GHaNrc9uGoiIgI1Cps3pz8g1uRo9A8s83/hwr0kiS9L0nSSUmSTkiStEKSJGdJkqpJkrRfkqRzkiStlCQ7irLPCeLi4mjVrAlj/b2IHdWEQYFVKeXuhEqpoJS7E4MCqxI7Svv7Vs2aFFqw12g0KM00nQztDyVJoqVUkWCqM4/jaCyU9yRJokVqCeZ8NcPitQtDBroIjwa6Ekf9fkEMXfo5DXu0JOnURZaNm8PM7iEknbnExllL+W3sTOL2HLOa9d5KuEbsygjaj+rHyOVTCQgOws3LA6VKiZuXB+1Gvsq+VRF2fRaOrIni/dFjjV6XewLRMXxCP/uUBr3kyzVykCSJBr2DmP3dXJuOf9pQ4Bq9JEkVgd1AXSFEhiRJq4BNQGcgXAjxuyRJPwDHhBDfWzrX81Sj12g0+NWuxVh/Lwa9XMXq8Yv3J/DdkbscPxP30MyALVu28GbPvtzNSiObB19WRxS8SR2976wOcqqYcrClaVrEo38yodFoqF23DvX7BREQHMSthGv87/1ZODg5Eti3nUnzMnZVJDlZ2bw+O8Sk2ao739w+42n+emezHHndMS1e72Jzzf/E6hjOnDxtNDRo2GSt07IBV05eZN/KCBKOniU7MxuVgwrvF2tRvVFdrpy4QPyRs2SlZ+Dk6kLVhnUI7NuWmk1e0J+zoA3fx4n/SutGBbhIkpQDuALXgDaAToN0CfA5YDHQP0+IiIjAOTeDtxq/aNPxgxp78+OBJCIjIx961Hvu1zPpnFURBxSEc4HbZFESJ3pRwyTIgzbLaSMqsYMkIzer/HBBRVpWhsVrKxQKNkRsoXnjQEQKtslAR8QWBflHDMMSx62Ea/w0ZCrtRrxq0rx08/IgIDgI/56tOLw2mp+GTGXoz5+aBPvz+47j4OxokSOvUCh4fXYIPw2ZikZoaBTc2uxn4eAfO4j+cR2xe/YaBXnDJuvtxOv8NHSqfnPqO3UEzh6uJJ26xIqPvuX+jWRavNGVlzo35+jG3cQfPcPZXUc5H3scJzcX2o/ui3+PVji7u5Ceat3U/mnEQ7FuJEkaC4QBGUAEMBaIFULUzPt9ZWCzEMJP5m+HAcMAvL29/eV0sZ9FdO/Uji7FkhkUWNXmv1kcG8+m+yVZvznioa5dUIrjJ8QyT2pp8RhbaZD/lQx0EWxDx66dcPOvTMMeLe3OsuWYNb+NnUndIH+bzqF7elAoFTTt35G6rQNwdnchMzWDU1GH2L96G2l3U/B09eDiuQsoFArZJxC5zcnw9SoNfFgaMtvsU0r0r3+BELw6dQTLxsx8JjP6AqdLkiR5AT2AakAFwA2Qk7iT3UmEEAuFEAFCiIDSpUsXdBlPHWJ276Obn/XShSG6+5Vn1569D33ttMwMXO18iHNBRSaW6Y32NE1tsVs8ffFcUZD/j7Bn1x58g/z1mbi9zJrzsSeMXo8/cgbfIH+bzlGqSnnGrvmK1kOD2Tx7OTN7hDCpySBm9gjhdPQR2o/uxwcbZiM5q/RNUsMnEI1Gw//en0W7Ea8aMWsMX6/asDY/Dw2jxetdZPsFAcFBhKydQYs3u7JkzNe8+NJLdrx7Tw8epnTTFrgkhLgJIElSONAU8JQkSSWEUAOVwEZz1OcEKenpeLo42PU3xV0cSEm3XBqxBW7OLqRnqPHAPnlinRetHIQQxLgns2D8HJvP+V/JQBfBOtJT03D2cCV21TYCX21nV/Py5VfbErsyEp+mDwzls9IzcPYwlszWaDSc33ec2FXbiD9yxqRO7tuqIasmzGfqof/JXqtB7yBmfzuHDh06MGfeXBr2DkIIwc5F68hISeOvr39jw4z/kZ2RiZtnMaoF1EHl5ECD7i349tWP9RuBpXtp3LsNIDj0v0g0Gs0zVzJ8mLtJBAIlSXKVtJ+OV4BTQBTQJ++YN4F1D7fEZwserq7czcix62/uZeTg4frwfPICURwNvGjlYM47twhPB1zd3chMSbcrE9ehbusA4o+e0f8shMDBydGII38r4Rpz+4yXpVnWDfInYt4qvus3AZWz+eSjbusAtm/bTougVmyL3EaZGpWY22c8xzbtxbdlQ9xLFOP1OSFM2b+E//tqFAlH47h7LZkj62Lsekpp1KsNKjenZ5JiWeBAL4TYD6wBjgDH8861EBgPhEiSdB4oCSwqhHU+M2jZvCl/nbDNAFuH9Seu0aJZ04e+dkEojtu5QhtM7QwLU/CsCI8PzVo05/TOw7KZuDU4u7uQnZ5J2p0U9v+xnentRyEpFXqOvK5ObqlsMnL5VFq80RkJiVsJ8t8LZ3cXctW5HP77CLnZapaGzKL56515L/xrEo6do9fnQ6nRqB5KBxU1GtWj77QROLk6sWnWMuq1sU2KG55tiuVDfTuFEJOEEHWEEH5CiNeFEFlCiItCiMZCiJpCiFeFEFmFtdhnASPGhvDDQfOKkfkhhOCHA1cZ+d64h752+/btUZRwY7fiuk3HR3OVZCmL22SSIrJRCw0pIpsYrjLN4yR7K2cVSDN+2bJlVK1aFYVCQdWqVVm2bFlBbqcIhYD3Ro3hyJoonFxdCjStKikUfNPtPSK/W4WjqxP+3Vuxb2UEubm5svXz/JAkiUa92tApZABLQ2bLcvQzUzNQKBWos7JxdHGi7fA+eqbOzUtJVH2pttHxVV+qzb1/b9Ppvf4c3bjbrmnXuq0D2B65jY5dOz+y6fTHgaI07D9G+/btyVK68usB+QnV/PjlQCI5Dm6FUhrRURw3eFwnRrpmVZ54c/EbzP3pe/5tXbnQmqY6rZ2EhASEECQkJDBs2LCiYP+Y0L59e1S5EiUrly3QtGqVl3xQKpV4VShNWnIK+37fys1LV5nb52Ny1WoadG9h07kaBbeWbe4CnIw6SM3AF+j9+Tt4VSxDo14P+Pmlq1Uk/u+zRsfH/32W0tUq0qh3GxycHGXPaQ7O7i7k5ubi5l+J4eNGU7tunUKfTn8cKBI1ewzQTcZOeqUagxp7m+UQ/3IgkS+2XyJ6z75CZaE8Topj1apVkaPSVqlShfj4+EK9VhFsQ1xcHI0aN8altAdjVk232XVsdvAHpNy6h2f5kjQb0MmEtrhn+WY0uRqzw1X5cTA8itPRR3hj7oOnV9117l1PRlJKdP3gDaPG6rHNe4mYv4pek4ZS9aXaxP99lvAvfqL9yL682KkpB8J3cCb6qNE5LSHtTgoze4TwWcxPT4XgWZF65ROOuLg4enbphFNuOu80Kk93vwoUd3HgXkYO609c48eDV8lWufHnhk2P5ANmj3VhYUKhUMg+SUiS9Mw8Jj+NOHPmDA0bB9Bh7P/lMVAsY8fCP4n+ZT1dPnidRr3MDzwdXhtN5ILVssNV+WEYZHU48Md2tsxZgVuJ4qTevscHf802kTc+tnkvUYvWcfNSEqWrVaT14B682Kmp/pxfdx6DUqWyOBWrg9xmcyh8J8dXRxtN5j4p+K8mY4tQQPj4+HDi7DkiIyOZP2cmn3yzk5T0DDxcXWjRrCnTv5/2yIIt2EdxXLZsGaGhoSQmJuLt7U1YWBgDBw4s0HW9vb1lM3pvb+8Cna8IBUd+Q46MlDQ2ztBSHC0F74PhUexasoEuH7xucVPQKUMKIVgaMtusbLEOuuau7joHwnewedZyFEoF92/eISczS7Zh/GKnpvrALndOdbaajzZ9a/S0ETFvFRtnLjV62hBCELsqkg5j/s/oHP7BrTjyR1ShTKc/LhRl9EWwCDn9eldXVxYuXFigYG/tfMuXL2PaF59x+vwlfGtWY8KkyQwYULBNpQjmIWfIcfn4ebbMXY4Q4ODkyMuvtjU7repa3J1RK8JsLvPMH/Ap7Uf3w6dpfbO8+sov1OTi4dOUqV6RmxeTUOfkoHJwoGyNSrR4sytrpy5i3PpZdhuW5H9K0K0p/9PGgfAd7F22hU7vDWD/mu1GaytZuSxl3UtyMHb/E5XVF5VuilAoeBQ1dXNPCMuXL+PTkNH80MuPZtVLsufibd4NP8HUWd89McH+adyI5Kz0FColZWtUou2IPtRqWh+FQqGXL2jYoyXnY08QuzKS+KNnyE7PxNHVmaoN6hDYrx2xKyOoGxRgcQjp6KY9RM5bxd3rt/AsV4qaL/uRmnyfziEDLIqmxSz5i5zMHPp/PYaKdasZiand+zeZDqP72WVBKFeKyf/7Pcs206R/BzbNXIpLcXfcvYqZlUrwcvF4otyoigJ9EQoF/2VN3a92DWa9UpGgWg8kMXaeu0nI9iROnL1QqNcqCJ6GjSg/rFnpGapRLnjtM5sy5skthlo87uimPayd8jM5mdn611ROjoDAxcNNVjRNB3N1fSEEG2cs5ezuvwlZO8PmJ4l5/UPpMOb/jKZ38x8zO/hDcrKyaRQcxME/d/LBhtkolabT4E9ic7bIYeoxY/nyZfjVroFSqcCvdg2WL7dMH3wcblO2wFzt3FpNXaPRsGnTJpo19sfVyQGFJOGkUuLp6kRgQEM2bdpkck+nz1+iWXVjlcxm1Uty+vylh7uJQsK0Lz7jh15+BNUqjYNSQVCt0vzQy49pX3z2uJcmi/w682YHll7vwk9DphoNTWk0Gll3qJ+HhpGZZnm4KnLeKqMgD6DOykadlWMTrz4gOIi2w/sY8eolSaLzuIGos7I5GB5l0/0f+nMnuTlqagaaaCoaXa/5G50p7+NN66HBuHl6cGH/SYtrexrdqIoC/SOALvOb9UpF7n/Vg1mvVOTTkNFmg/3jcpvSwdIAU1hYGK6uxl9qV1dXwsLCzJ4vLi6O2jWq8t6g/+ONanD+0w6kftOTS5M68VU3P1KTLjCwTzC1qlUxuiffmtXYc/G20bn2XLyNb81qhXSnD4cnfSMyhL1Wem2H90Gp0lr8mZMteGv+eK6dS8TR2dHscNXRTXu4e828zMbDiKYpFAre/uETNs1ayoHwHRbnQA6GR7Ht+zW8Nut9qzX1eq0bEX/0rJF+jyU8jW5URaWbRwB7ShA6Tv3nr1TjLQuc+l8PJPL5I+DU29JstYd1ExcXR4smL/P5K9V4O7Cq+RmB/fGEbjiJwsmFPbEH8PHxeeJLI096ackQW7ZsYfgHYxj6v0k2lzm+bDeSwH7t2LN0MyUqluH25X8NKIm1uXY2gTbDenE6+oisFLFcycYQSpWSKQd/0x9rWMP3af4Scbv/1v/cblRf1JnZsvX1HT+tZe/yzXiWK2XSMD654yD7V28jN0fNa7Pet4m/n5ujZlKTQUw99D+zzdv8OBgeRfqRJLZs2GT1/I8SRTX6xwilUsH9r3rgoHyQSeTkaig2fh25uQ8e9x7WbaowaI+F2WzV3c/oBsUZ3MR6Fr449hLTIs7gXqo8J85qnaSe5Gbnk74RGUKnM68LxtYUJGs2eYE1E3/g1M7DeFUoJTsAFbNkA5JCovlrndm/ehsjl0812kS+7jzWfDYvQWDf9nT/+E2rGwKAg7MjnUMGsvW7lSZBN+1OCjO6v0//r8boG8ZZqRk4ubuAgJ4TB+PXtrHN7BjD4G4Y9K39zZPgRlXEo3+M0JUgDDM/uRLEw7hN3bp1yygT10kJAHYFe3Nm4eZet4SIiAhU2Sm8HWj+flYeucz0bWc58+996pT1QCFBVsodPUd5wICBT1zQ1EG3rpAvPuP0j7vxrVntiQzyoNWZHzvuGwATe8Denw8z4ZSvm/4rmffT6Bwy0IRDn99dKmL+KhxcnDi8Ntooq7973XzJRqFU0ilEazwnV8PPj5zMbHYuXq/n1RvC2d2FnIwsfJrWx6dpfaNA/dvYmWSnZdpFgTwVdYiqDeoAWl0dR1dnq3/ztLlRFdXo7YQtTdMJkybzbvgJdp67SU6uhp3nbvJu+AkmTJpsdK4Fc2fyTqPydqnrvdOoAvPnzCQ0NNSo3AKQnp5OaGioXfdT0GarHBbMncnIwMpm72flkct8tukks4Nf5P7XPZkd/BK5AkROFvPnzLT7eo8DAwYM5MTZC+Tmajhx9sITGeThgc68LQqSw5dORpOTS4cx2qlYa/X8diNeRaFQEDF/FQfDo/S1cs9ypeQXI4HK0YHsNG3QtrQhGOLev7dlg27+YHxyx0FKVCpL2p0UGvduzb6V9hmPx66KJLBfO/25dEHfEjJTM3B1d7PpGk8CigK9HbC1aRoQ0Iips74jZHsSxcavI2R7kmzmZ6vb1Mojl2nw9TZcxoUzd+c5dkTHFFomXpBmqzlYu5/p287yYz9/I9bKov4B3ErLJiY6+oliGz3tcHV3I+Neqk0KkhdiT+BWwsNILMwSAoKDcHJ1pv2ovuxeuolZPcdxMDyKVoO64SCjK+/XtjHVA+rqRdPMbgj54FLMXTbontxxECG0toVnd/9NzK9/cSfpBtM7jOK3sTO5lXi9QMwcIQS7lmzQB31LOBV1iKbNm9l0jScBRaUbG2HcNH3R6EsTefZfpkWe5vKdDLxcHWnk35CDh49YbdDZ4jaly4J/7Oevrwu/vvQALiVLcOvWbZPj7c3EdWWewpA4sHY/Z/69L8taSc1S833fhnTzK4+niwN3M3L468Q1PhkxiBClK2s3Fvlu6FrqAAAgAElEQVTH2otmzZuxc/F6m4w3CuoudSrqMGPXfMWnAa9zauchLhw4iTorByQJhMDNqxiZaRn0+ORtkk5dJGLeKvx7tqLdqL6s/vR7sJB1Ozg74ujiZBJ0hRDsX72N4ImDyU7LZMvcFaTevk/LQd14uc8relPwJWO+AQSNesk/oeiYOVu//Z0KdaoytdU7ZKVloFApiV0ZAULIauHo/vbImih+nD3fpvfrSUBRRm8DNBoNPbt04vNXqjHo5SpGH5wVhxMZseooiXcyEEByejYZGenUr1uHbh3bmc1KNRoNbs5OVt2m5LLg/73WGCeVQjYTnzp1qt18/IEDBxIfH49GoyE+Pr7AOjbW3LPqlC0mS5/0cFYxKLAqpdydUCkVlHJ3YlBgVWJHNWGsvxetmjV5JqRi/yvExcXxzz//cGzzHpsC+MO4SykUCpzdXGnQpQVlqlck7MhSph1ZyrSjywjd8T0atRpnD1dqNnmBnKxsDq3dSYPOzQjs0xZFHlmheLmS1GnVUP+zZ/lSvNixKU6uziYceF0G7te2MQHBQYxZNZ0uH77G/lWRZNxPRalS4l2/JsOXfM6eZVuY++p4DoZHkXYnhdwcNWl3UjgYHsXcPuPZMmcFxcuV5MWOTbUU0gNL+HjrPOoGBRAxbxVz+4yXNUM5/Gc0jkL5VLmqFQV6G/CgaWqaLX+26STpOcbm2Tm5Ag1QLSNelgOvKwG5qiSrblPmsuBrN26xcOFCqlTRbjxVqlRh8uTJTPti0mPj41tzz/q4bW3eWXnYqHcxeMUhapRyQ6MRbD19nV6L9lJmwl+4jAunbOgG/jqRRJ+6JejZpVNRGccG6IakAgd1Jist06YA/jDuUgBVG9bRljxkNhWdoYlCoeD12SFsmrmMA3/soNsnb/LqlOGUqVGJ+zeSSb5yg1enDCfsyFJaD+nJ2d1/G3HgzXHjJUmiUXBrkwErnfF489c6s2n2cr7qOJrPXn6Lb7q+x5ENu0hNvk+nkAGM/n2a1UEyXbAXQnAofCfb56+hbNlyFPfyRKlU4lG82BNvVFJUurEBlpqml+/Im3bn5Aou3k4ldlQTfj2QSKtmTYjesw9AXwKqUKwcn206yVv5nhIMocuC5Rg8AwcO1GfflkpLugz5rZerGK2lsMshI8aG8OGwN8zeT7+GlQF4/89jetaNUoKGlTypMHEDdzNyqOzlyrSu9Xjr5ar6Es4Pey5wLTmDX375hcGDBxfqmp8l5B+SWhu2yKYArnRwIDMl3S6xMMOGqG9QQ/6avkR2U6nasA6ndx4mIDiIUlXKI4Rg9/82cWDNdl5+tS1Df/rUiAOvkyMYOPN9rZnJnRRORh1k15INKFUqs3LHAcFB7F+9jfOxJ/BpWj9PungtNy5exbNcSdqN6oubpwf7fo/g0uHTWnZRsPmehK7xrBEafntvJs1f68yRNVHcSvoXrzIlKdOqNmMnDTBiLw0fNxpVrvREaeHoUJTR2wBLTcbKXvKm3RWLu7Dn4m0kSWLQy1WY9Eo1enbpZFQCale7LJlqDb/uN+Wx6yCXBedn8FgqLRnCcC3BXTtbzD5stfszZCH169Obi/8mszjW/KRov4aVOfpRWzJm9mJ0y5pkqTVsOHmd398KJOWbnvz0f/58syOOP44lPSjhhLSh14vleX/UuzZLSjyPiIiIQK16MH1qqz2gykFlt7vUySgtO+XmpSQ2z16OOkctu6kE9m1L7KpIPQsmJzOL0au+pP3ofpyOPsLMHiFMajKImT1COBNzhAZdm1Oulje/jvpK//rpnYdJvnKDMaunmx2AMpxq1ZmRdBv/JlP2/0rvL4axbcFqMu6l0qRfO0pVKWdz47lRcGtEroZjK3Zw99ptOrzXnxGr5Z8Chi79nPr9gmjWovkTV2p8qIxekiRP4GfADxDA28BZYCVQFYgH+goh7jzUKh8zLDUZJ3eux4hVR43KN64OSiZ3rsuwlUf0rw1q7M03Oy/i7qTS8+YVConVgwJpMy+GXKFhcGA1kyDdr2FlhBAM/f0Ql+9kUKuatwmDxxY+fn7+elquwqy+dv5pWXMcfUPzlHcbVeCH8a25mZpF++93AZLFydjFsfFM3nKKTLWGlW8F6p9YgmqV5sd+/rz/5zH9E8Cqo1fYEXeTNYOaPBhUChkN8MTSGx8H5sybS8PeD9g1htm0JWSmpbPj5z/ZvWyzrHlHfmjZKRvxfqEm378xieLlSqJR35R9KqjZ5AU2zlyq59w7ubqQnZap58DbgrQ7Kczo9r7V4+q2DmDznOUkJ92g1yStYThAjUb16DVpKH999RslKpaxu/Hc4q2uRMz9nY7vDbD4XuqeAhDQtUc3s0Ylcmqiru5uNGvRnPdGjdF6OxeyFPLDnm0usEUIUQd4ETgNfAxsF0LUArbn/fxUw1KTsb+/Nwv6NsDbywUJ8PZyYUHfBnT0LYeH04N9VJIkPB0EI2R45kJo+DLyLIGzdrA49hK3UrPIydVwKzWLxbGXmL3zHEJASa/i/LUl0iS4WePjy/LXc7KZ8NEHssfbwtHXlYrG+nsRO6qJvpnqW64Y20e25NuY87L3s2jfJep9GcF3MeeZ1LEu9zJyZHsQZ/69r/9ZriFdGGJi9grPPenYs2uPUfkkfzZtDipHR9TZarqNf4PJsb/SbfwbRMxfxbHNe2WPPxi+g9Tbdzm+bT8d3xvAmFXTqd6onuxTga42H7lgNQfDo6jSoHaBnh4cnB3NNkd10PUNzBmG37yUVKDGc73WjcjKzLJZp8eSFk5cXBy169Zh+LjRuPlXYuzab/hi/6+MXfvNI/WpLXCglySpGNASWAQghMgWQtwFegBL8g5bAvR82EU+blhrMvb39+bcxE5kzurFuYmd6O/vzfoTV00C2PlbqUYlILVaQ7eFe5jc2Y9zn3ZkShc/Npy8Rr0vIyg+fh31voxgw8lrTOniR9ynHZnSvqZsyaWg/PXzcWdlj7fG0bdWKvIp48HRD9vq76d22FY8PlpL9cmb+WTDSS7fzSBieAs2nLpGZS9XWSZOnbLF9D+ba0g/jJiYvcJzTwN0Q1I66Jguh9dGW/w7J1dn+k0bQY1G9VA6qPQZcNSidUbHCfH/7Z15eFPV1offnc4tBZmvyCRqUUEuICjzIFDoIDIoqIAKiqiAyCAK18t00Qsig4jI4GUGoUCZaaXY0kKBUgooSJlHFWSGFkqn7O+P5IQkPUmTtNCU77zP44NNk5OV05O19/nttX9Lsmd1LFtmrMTL14fwT98ybbCyN6iUq/YofX/8gm3z13Nq72ESFm50akNTUsRWXh3bL8/iqDn7NycyKXww+lw9Qqdj6+zVFr9XGoa7uvCsz8516i6gXtdWTP3uW4vHHXET7bvk/sg/BZFuagCXgflCiH8CKcAgoKKU8gKAlPKCEKKC2ouFEO8D74P7t5H7aNAQRnzU2+6iqTlSSmYlnmJ8mGVpWHpmjkkCOnYpjZBZO/D39jBJHMFPVyT46Yo2j2tugWAuubhav552V/0uJb92f45IRTrdvc8jpaTRjF1M+GEB7du3p2NIMJsOX2THyat8FV6LfitSLPYJ9FuRwrjQWqZj2VuQdhVzy2HAdJcwZOyoYisH+ZcIsJBPlNn03PfGI6W0uWnqzs00mzPg3Owcw0JpXDI7Fm0m/epNmr0VyoHNiRY6tyLR7F2zjSvnLrJr+c+GmnrA08eLqs89RWZ6BmHDepK4JCqPfYItTBuajDXtam0Jrb1z9Dm5xM9bD0CF6pX4ZXYk1/68TOlHy+Hp7e3SwrOHl3Op8tnWDZg+PcL0s/VCuS0clX+cpSBH8ATqAz9IKesBt3FCppFSzpFSNpBSNihfvnz+LyhCgoODyfTwZ8Eex3adzk86Q1aOnrZBlmNcCR9PbmRkc+xSGu2+T6BCCR+GtApyyQLBHNfr19UHh9DQULuPF8S6AQwD56zkv0jLzOadF6szLrQWg9f8Ssnhaxm85lfGhdYy6fPg2IK0sxQXy2FlsbtDeCiBpUraLedr2rxZHllEmU3vWLKZ79/8Ik9N+Z7IWHxL+HPmgOXd3ZkDR/H28723UBq/n/BPe9F+0OtsX7iJFm+FW/z9dTod4cN6sX7iArYv2mRK8gYEF46dJXhAN17o8pKFlOOs1bCafbGqd46E+HkbiJr6E51Hvcd/khbQZUxffAP92TJjhTN/An6PS6ZEmVJOvcbaC8d6oTw/CtsK2WX3SiHEP4DdUsrqxp+bY0j0TwKtjLP5R4FtUsqato9UPNwrFU16dJvH6W3HTnh+0hnGRh0mpn8LgipYzhoaT4nlvcaPMz3hBJ+0fIrP1h/k8MhgypXwcTiOK+mZ1Jq0jeu30k2PdQwJJqzkVXo3qq76GtXdtYv3cONuNu3btuGjQUMsFoDyc7R8JLAEh4e3cjluxeXy/LmzHP2ig0PHMV9MLuHjxQ//m1+gmXdxsBzOrzvUvlVxFuV80dHRfDh0IH2XjMlzfer1+jztAb18ffD09qR+x5bs37SD7l99RPW6NTlz4CiRY+cS3L+b6oLsmCZ9+HTTtxazYsVTJyc7h4yb6Xle4+Hpwbg9C01xKUZrSGjWK9RkNZyyLoFt89Zx4+JV/AL9af1eJ5r1spx4WLcHHFm/h6EURIV354w0LcoCnEz+nWWffssXcbMdvjuf0mkYtdu+QPuB3fN9voK1u6W1m6gjOGKFfN87TEkpLwLnhRBKEm8DHAbWA28bH3sbWKfy8mJHUFAQ8Ym7mJ5ynUYzdqkumjaaEsv0+BOqSV5KyfUswYTY4/h5efDOi9VIy8zO1wLBmlJ+XqTdsazdV2bItgbtepUfIStHzxsLd1Ny+FoGrT7AxI7PcXpUiOpGqvw0ekesG9Tivpl+m0cCS9AprANDPhuBl5dnvhvGFJSyzO9fq0/LVq0KLK84ajxXVLii5wYHB+OZK1Q1eZ1OR1CTOrz17VBGJcxl/N7FhA7ugT5HT252Dp4+XmyYuIhRjd5hw8RFNpM8QHZmloXOrdfrTZ46GbfyJnmA3BxLjbtMlYqEDOnBrcvX2fD1Ir5s8wGjG/dh66xVdB37Pv9JWsCb3wxi14oteRaFlV25YPhe+ZW0bS6mJkll3LqT77qFQnJkHOlXb1C6knOqg7UXjvVCuSM827oBO3ckOvUaWxR0w9RAYKkQwhs4BfTGMHhECCHeBc4BrxXwPdyGoKAgDh09TkxMDDOmfsPg/0STnaMn0NeTpjXK8p+w2rQNqoBOl3emMG/POa6m3UZIycg2Brkm0Mfg6+LMzPhmRjaB/pa1+8HBwQwxSkvWvvaKTDQmpJbqGoPaRqr8NHpFKnI27lK+Xvw+vBUbDl3g+6/+jW9AIJPjjju39rHnLybO+srh91VD8bw/c+k6ry9K5uadTJ55yn0shwui525av5GmzZuBNNz+2+zLuiae7XPWsWblarp2f432g153eLap1OcrM/oTuw6aPHVi565R9aQvWaGM6f/NbZPDhvY03alM7/Y5HUe8o1oWqQw6er2e8wePo8/NZUyTPmTdzUIITP46Ch5eHug8PThz4KjFjP7MgaOUq/oPYmautLtuoUhHmyYtJjszi42TFnEkYR+NurWz6YFj/lprLxzrhXJHKEwr5AIleinlAUDttqFNQY7rzuh0Otq3b0/79u0dlnPm7TnHsDW/8lnbmkyOPWqqkGn2RFk2HLpgU3JRY/2hCzRvem+mpdTkVqr0KINW7+KjiBQCfbxo9kRZ+jZ+nM/XH2JMSC16N6puVUtfks/b1qR7/SqmjVQS6Bweyvjx4+nXr1+erlOKo6VSheRc3IYqJPNduvOSzvLZ+oP8b/cZqjzix+ydp9hx8ippmdmmz9CvSQ3a1ayITieYv+cc2V4BBfIYsWge0reOqXmIOzU4cUXP3bc6zrRIn7h9B2Edw9m3Oo56XVtZdGA6HLeX/au34aXX3WtwrZdOzTat6/PNTdHaDeim2lQkeEA34J7Eo9Yg/MrZCzYXhZXfLx48BU9vL8KHvWUhZf383Qr2rY9Hn6sHARVqVOapJnWIHDuXLqP7miSpVf+eTev3OlGtbhBLh01j50/RNHmjg2WXqrhkdizaRNqVm3Qd149aLzW08O7fNHkJvaYOsbl5S80Lx3qh3BEK0wpZ6zBVQI4dO8YroR3ISr/BI16SE1fSSc/MoYSPJ0+WK8GNbMGVW7cZ2vopPm9bE7+hkaR93QlPDx0/p15k1Obf2T3Etge4OVJKXvxuFxNnLTANNOYblqzdHyduPYKXh47fPm9HxP4/8uj0SnWLsvBpXh1z5coVm46W0dHRjPioN7sHNHY87imxjA+rnaeqaOja35i/+zTVywQwsMWTFp/hi02HWLL3HNm5klK+XkhPb5JT9hVoe3lx0OYLQ8/V6w0LeVO/+5adOxJNm3KaNGvK4IGDaNeunWlW6uHhwdikBXh4ejj0XscSf+Xn71Yw4KcvEUIwrnlfhq6fYkpi1m0C06/d5LOo7/ArFcC3r35G815hqp9t2quf8fJnb+XR1DdMXEjPyYNtDhAKpln4N4ZZuG+AP2WqVCDj1h2u/3UJ3xL+BJQpye1rt8i6cxcPby/QS7z9fci8nUFudi46Lw/8S5agUbd2NO8djqenZ5732Lt2G1tnrspjx6DcKSXMXntvEDXSITyUgOcrF5lGr3ndFAJCCAK8PXm/cZU8yXZ64hl0QJc6hgvCXK5pV7Miw9cfZEHSWYvZ8bLkcwzfcJDL6ZkIDOtMpXy9eKJcANf1frRp08Yhb5v1B//kiXIl6DpvF9tPXGFln8Z2d6CaV8esj9pi08XSnlSkhq0qpGOX0li1/zyTXqmTZxdtzNG/WbHvD7JzDRORm3ez8fHRkZycXKBEn3riNE37Wu7IbFqjLKmzd7h8zMLGvDuUo1iX85nfeeaHX4C/xWwzv7aDNV6sRfakLJIj43ih60t5atPrhTalXug9fXrRoMmkbkuhZIXSdm2TW7/7Sp4ZeMTImdQNa2bhq28LIQQvdH0JBCQuieKlvl3YsXgTaZcNG/NzMrMpU6kCQU3+ybHEX0m7coMW73Xkpfc6IaVkaqdh1GxWl7BPe9l9j4adWyP1kkWfTGbg8q/IupOpfqdkxicDPubDoQNtDlLWFLYVspboC4CjRmLzk87Q7vvtxPRvYSHXKBYI7b5PQCLp/WJ1pm07zogNh0xFBBLw8/JgfFgtvDx0zEz6gzrP1CQzK8u0YUk1tktpJJy8wp837/JhsyeIOnwx3x2oAB1rP8qISdvsfm6dTsfaTVG0bNoYCRay1U8p5xi1+XfOX8+gSmk/2gRVIOrwRWL6t7BYu9DrJa/N322SlaxRcwXNzMxk5MiRLtsog+NtHouSwtRz89tuX716ddAJUrelUP+VFqSsi2fLdxHGGW4O3gG+BDWtS72wZmTezmDLjAiyJ2fxVNN/EjV1GUKIPJq9NY26tWXLjAhKViht135A0eE3TFxksmKo2bwep1NSHfLVV2jYuTU7Fm0iZuZKWvXpmLf37YINZNy6TUDpQFr16QgY6vVv30ijg7HdYb7v0aU12xdtYmyTdwkILEGTZk2ZNWWGxZ2SOeYL5Y7M6gvbCllL9C5ivTtUDXNNvPIjfnSYuZ2Z3eozOuqeY2VQhUBi+rfgtfm7+XbbcY5dTs9TKZaRncuk2KMc/3eIceA4y6frfqPp4+otz5QF2K9feY4+Rv+c6QknVBNcoI8nxy6lmaqE1Kp61FCqkDqFhTB7z5/0a/goObmS4esPkmFM0OeuZ7Ag6Sz/fbl2niqkmKN/m6qP1LDlCnr+/Pl8Y7PHyNHj+MBGg293obD0XOvyzEFDJ1kkvA+GDODSHxep93JzYudEEj9/PQhB+4HdVZNjdmYWPacM5sz+o2yatJgWfTqybb5hY5I9Tx1lM9Wp5MN0HdPP7uf4Z0gTi2ofpR9s6OAeTu3baPZWGEfi91nEZN77NjkyjpiZK7l67iJn9x0jeuoymr0dhoeHY/KVEIIWb4fnK60o6HQ6pxbKFfmnsDxvtETvIvntDlWrXX97aTIJJy+bHCuVmWxQhUBShrah1oQt6G0smSiJTwiDWZiUkm7zk9j3aVuHZsrKpiNrjb5r3cfoNn+36ThqVT22MK9C+n7aZDb+vDVPiacEZu44yeDWlreys3eeol+TGja/vFVK+3FOJdn7+jhe6aNGcWjwrWx8ckbPtS7nU8ozW3zQKY9c4FcqgJIVSiO9dWRnZrFzWTRevt6EDeuVb2PwH/t+Sd8fvyB0aA8SFmwkOyOT+h2bsytii01ZQtmhO6Xzpy7dqWTfzXLJnyZ62k+qvzNJPMCst0bzWKXHEFLwQlfLGpL8JKxnWtbnOzO5LD+CgoKcXygvJLRE7yL57Q4195cBgya+sEdDei5OInZASwu5RgjBL8cvUdrfG72UqgnO2g65T6PqzNl5iq3HLlkscNqaKXevX4Vdp6/y+oLd3Mgw1O+/Xr8KU7v8k0ZTYk3Hsa7qyQ9zLdjW7ENtdr7j5FXmdLf95VVzBfXz8gBZ8MYOb77Zw60SuzUF1XPtlWealzY26taOpyfXY27f8TTrGULDLi/ZfA+llFOxIOi//Euiv11OyOA3ef6Vlnz76md2ZYly1R7Fx9/XpTuV3Bx1C2R7mDdGsUXDLq3ZsXgTt9PTuZthuc5gfZ66jnnf4g5ny4wIsjOzuJ2mvm/AFkFBQRw9fMS0UD59eoTFQrk9+acgaH70LpKfkZgtf5kr6Vkmuebb+HsOjzMSTtKvSQ3GhdbC38vy9tFge1zL4jEhBP2a1mBWomWliK2Z8op954lKvef7vvydRkSlXiRi/x+m4yh16v0/GerKKbHpWaTm2Z/fZjE1V9AZr9YlKyfHpdiKE/Y2PqlhrefaKs9UShub9wqj/7LxNOjcir+OnMHL15sGdppwmNOgcytyc3IY/eI7ZN81LMjO6TOOm39fY/3EhexZ9YvNjXuPP/+0S86VHl6eDvnqm2PeGMUWisSjK+mLztPD9B5q50mtA1WzXqF4eHs6bT6mTI6iN27m1o2b5OTkcOvGTaI3brY7YSoIWqJ3kfx2h9rylwkwWhdbOzzGn7zMy7UftWl7/MbzeZNox9qV8rzHjpNXVQcgNQfL2d2fZ8LWo6bjFLRO/csvv8THSlpRG6TgXvWRPaxdQTs88w+HZaXijKLnJsxay97IbXb9YPZGbiNh9lo2rttgShDWvvRguXvVfJOQK43Bm78dTo0Gz1K6Unmy72bS4JVWfLpxGv2X/ocdS6KY3u1z1T6tl079ScLCDU45V25fsJEylSo4PUAcjttL9Xrqa1jm1GrdkKt//E3FJyqTui3F5nlSOw8NO7cmbFgvwl952W1bCCpoid5F8jMSUzPi6rcixeIiVxweI99tQnau3jRwqNkeq1HKz4u0TMsZrq2Zsq07jCN/3zLYE2Rk03/lflJPnKJGjRo2O0rZo0ePHvz444+m2mN7g5RSfeQMzspKxRlFz/0tYhtze45RTZxze47h4Mr4PHqu2nZ7892r5rjqz37u1+O0eDucjyMmmGa8FZ+ozCeRXxMyuAep8SlMCv+EUS++w+SOg0mN38fLn72D0OmcsB+IJSc7h5ChPRzy1VeQUrI7IoZG3fOfsPiW8CPz9l3afvQqCQs3cnznb85V+HRpXajmY/cLTaN3kfx2h+btj1qS1k+V51JapurzXbZD8LH8E9o6ji2r36crlmT+7jNIQBpnJbY6SjlCz549eeGFF2jZtDEj2jzO62YulOb0a1KDERsOPXD7g+KEq3quWnmmrZm7q/7suTm5qnq84qmjdI/aszqWncui6TnV4EBZtkqFfG2TpZQkr4lj85Sl9F86nrJV/0HUlKXOWxs3qp3vcw0WxB480ag22Xcz2TpzldN3OIr3vCN7FooKbUbvIvkZiYFlf9R9n7Zh+6lrpF7NVDFEO4Ovt+MGXwrrDuZtbmJrpmzrDuPztjUZHfV7nudbd5RyhvwN4M7w75iT/HErk/mOWj8Xgv1BccQVPVcpzzTH1szd0b6y5txNz8AnwL7+rdCwS2uETnBi10HAMdvk79/8gi3fRdCyd0fKV6+Up0uVPSlrz+rYPNbG9vg9LhnfEv6c2nOYN74exMUT54vUfOx+oSV6F3Hao37PObwfKc+M+UvZfKsctSZto9Tn66k1aRubb5Vl4PB/5TtwmCOlZHLcMWqUDbB4Tb8m9xZWrcnJlXSdt5PAT9ea7A+61avMtTvqEpQtF0tHUEovJ/ywQPXzTpy1kN0pBxj7y2nmJZ21++Wdl3SWsb+cZs3GzfdloephQ82X3tbMXfGtcQalMbgjCCFo/Hp7Vo2ebUrqpSuVp+/cL6he/2liZq5kYshARjXqzcQOA9k6cxXBA7qRm51jUe6Y3wCRHBnH9G4jiJ62jPfm/sumD405SveqOu0bs3tFDI89U93lCp/CMh+7X2jSjYvY2x1qjpSS+XvOMfaX08Qn7iIoKIiQkJA8z9Pr9SxdMM9hW4F5SWe5cjuLLUf+ZvvJWPo1rUHH2pVo9WR57mTlMj/pDH0aGXZ7KjX9/3uzgUUNPRgGIE9PT3JUqlkK2vnLkW341puuOtauZFozWH/oArOT/yLLM8B07jTyR60809buVWXXqjOlnLtXxNBh0BsOx1PrpYZETV1GzMyVbJ6ylKwMgxd+jQbP8uq4D0wSy7Suw8nOyOLWpetk3sng/MET7Fkda1HDXq1eTao+9ySp8SlETVtG1p27ePv7Ur3e0wQPeI2fPpvB6ZQjlK9eKd+4FImnVZ+OTOk8jLvpGXgaK3yKynzsfqEl+gKgtjvU1UTl7MAxLvYMZctXZFCjClR5xI9ZiScZseEQaZk5+Ht5MHzdQaQ01Nur1fTP7v48fZenkOXhy4QJExg1apRNt8r7ifWmqxGTtpF2J4NAfz+aN23ChB++ui91xQ8zakv7GbkAAA7SSURBVNvtrR0nFZRdq47q33tWx5Kbk+uQ/q3gW8KPrIxMSlYsw+dbJnBi10G2zIig17QhFtf4W9OGMrv3WDZNWYq3rw8xM1fSuHtwnhr23RExZGdm8dHicRYz99vX09B56tg8eQkIgxWCvTWAX35YTd8fv8CvZABZd+7ye2wypcuVLfBmNXdEc68sBBSnwO+nTWZ74k6LRNX/k6FOJSpzR0p7A8ca47ZrWzbJxy6l8dr83fh66vjtr5vc+roTXh73YsjO1RM4fC1HjhwlKCiIpUuX2nSr1Ch+mHbG9uvE851bcnznb2yZEUH/ZePzJD+lbrzth6/aXSDdu2YbGyct4t3Z/6JqnScdjuX29TQmdBhA37n/pmqdJ9Hr9TZdLI/v/I0lw6YRNrRnnl265rGkrI0nZuZKCwdJpfNU5Vo1SFiwgcDyj9Di7ZdVLIgNvW/fmDiQp5rUMdkslKxQhvQL1yhX9R/0WzbO4TucOT1GM3vq90WyGOuoe6WW6N0QZwYOewPD2oN/MTnhDFduprOyd6O81rxb/+TQMfew5tUofMy9bup2acmOxZtp/nYYDVU2R105e4GFAyeB0cPFemt+0sqt5GRlU6JMKeqGNnVqxrtndSyxc9bQ9oOuptepDS7KANCsV6hqjNYkR8aRuDSKj1dOQAjBjDf+RfuPX+exZx7nm5c/4Y2vB7Fr+c+c2H0IqdebJJ5G3dpy8+9rbP3BYDV8OuUISat+IScziyZvdODn6YYdvw5V+ERu4+DK+EJr4u0smk1xMcYZi9n8pI+ZC//LlSuX+WDox3aNvLQZ/cOHdXlmxtVbbJy4CKnX07CLZQ+EMlUqIjx0BDX5J6nx+4iatozM23fx8PLgyRdrEzywO082qm2SXZzR9JNWbuXFV9uwOyLG9DplcXXx4CmG37/WFp8AP7x8vGnQqZVDn69B51YkrdzKid2HuHnxqqmkUubqyb6bRVCTOjz2zONMfmUIoxLmqh5jyZCpSCD9yg0+XDSWslX/QfLyGGJnrCoS87H7hZboHwIcGRiEEDaNvJYuXcr7779v0ugLUkfvTigtA1NPnOaZJx93qy5SDwrra0OZ5R+ITLAw1fo9di8enp6EDetpSmzKDPvZVg1MdfHOavrKgmfz3uEciEq0eF25ao8yaNVEi6blzrpUvvBaG2JmRHDr8nX6/vgFOp2O2zdvm+wP7O2QbdC5FTt/iub6n5cZsPQ/JgnohTeDuZxwjN8itj1w87H7hSbdaFC9enXVHrHVqlXjzJkzDz6gQsCiZaDVXcz/t2RvjV6v5+eff+aL0aNIPZJK1t1MPLw8CB/2lqoJmrXE4oymr8gj5ao9mu/rrDtVOcLt62lMDBnIxyv+m0er7zVtiEnOUQYqa/asjuW3Lbt5b/ZIi2NO7zycG9euO9ylq6h4YBq9EMID2Av8KaUMF0I8DiwHygD7gF5Syix7x9ASfdGi0+lU69gV3bQ4UhxaBhYV1j71z7R6nskdh9hMsuZOji++1pZnWzcg/epNlg6bhoeXR96eq7HJJK3aSm5WDj2nDLaojFE7lvK6r9p8yLg9Cx1uaQiQm53D6Ma9Gb93MWAYYJTkfvPiVZOGbyshKwux5tJObnYOYxr3US05djcepEY/CEgFShp/nghMlVIuF0LMAt4FfiiE99G4T1StWlV1Rl/QOvqipDi0DCwKbPnU27NCsJZYlPp1Lz8fcrNzSFmfwOYpS8i6k4lPCT88PD2pG9KEkKE98iRY62NtmryE7Azj67y9XKphN3epVKSiGxeu8Mus1SY5xxZqdsbFoS7eWQp03yGEqAyEAT8afxbAS8Aq41MWAp0K8h4a958vv/wSf3/LL/mDqqO/XygtA81xt5aBDxprn3pz6SQ/KwTFw+atb4cyKmEu4/cuZtj6qXh6e9Fv/ihCB/fE28+HDoPeoN/8Ufy2ZTcpa+NV7xR1Oh1PNX6OZ1rWx8ffl8FrJjEqYS5PvljbZZdKKSV7ImOJnm5oNrJzWXSe5t1qqNkZF4e6eGcpqMA0DRgOKPf3ZYEbUkrlnucP4DG1Fwoh3hdC7BVC7L18+XIBw9AoCD169GDOnDlUq2YwGKtWrRpz5swp1guxI0eP44PIQxbePh9EHmLk6HFFHVqRYcunHly3QihTuSJze47h0KoE1kWuJWHWWk7tTeW9uf+ya1fw/ZtfkLg0yiIZN+rW1mmXyl0rtlD6sfJMeWUom79ZQmDZ0oQO7cnHKyc4ZINgvVirNHEZPHCQU+fC3XFZuhFChAOXpJQpQohWysMqT1X9q0kp5wBzwKDRuxqHRuHQo0ePYp3YrSkOLQMfNGo+9QquWCFsX7CR6o9W4ctx400Lk7sSdxLWMZy9EbE07RGCb6A/+zduZ8PEBeTm6vFR7AqM5Zrmsooru3Sv/XGJUhXL8vLn7yBz9cTMXMlTjZ9z3M4hIob2H79ueqywm3K7CwXR6JsCHYUQoYAvBo1+GvCIEMLTOKuvDPxV8DA1NJzH3VsGPmgStycyaOgk1d85m2RT1sRTJqAUe3YlWSRr69r9X4zVKt7+vnTMZxOS4lLpiI1xypp4oqcso2Wfl2n9nkEd1uv1bJ7qmp1xcauLdxaXP42UcoSUsrKUsjrwOhArpewBxAGvGp/2NrCuwFFqaGgUGDWfegVnrIDVulpZH8vaWjkyYhX7Vtk+roK5S+XUzp/abbiybs1a9q/cZurC5ZSdcWQsMTNX0mX0+6SsjbfZxOVhoVDq6I3SzTBjeWUN7pVX7gd6SinVu20Y0corNTTuP4GlSjJo7SS7VS32yh/NNwptXLfBqYSo1+up+ezT1OneyqHZdvLqOJIWRPFcnefYmbjTVMP+9DNPo9frOZJ6hIzbd/AL8MfT2wufAF+avBVKrZca2i39PBy3l8QlUdz8+yrZd7MICCzhVnXxzqJ53WhoaFjQITyUgOcr55to9Xq9qfzx1N7DZN/NpERgYIETorXRmiPWAspgolb7b+5ouWd5DLcuXyc3O4e7GXfxC/Cn5tM10el0HEk94pabnQoDLdFraGhYEB0dzYdDB9J3yZgic2Y0T9j2rAXM7xhs1f5bx5qyNp6EWWsfWvlFDS3Ra2hoWOCsfHK/nBkVd1ZHrAXcJWZ3RXOv1NDQsECn07Fp/UaaNm9WpM6Mzriz2qv9V+P5zi3ZtzqOmJgYt27W/aDRZvQaGv/PcEU+KSo6hIcQ8HwVp/zvkyPjuLPvT6KNzXkeZjTpRkNDwybOyCdFiSOVQtYo7pO3bty8j5G5B5p0o6GhYRNn5JOixF7tvy18S/hxJ/32fYqoeFL0Q7aGhoaGDfxLBNg1W1PjYXSfLChaotfQ0HBbmjZv5pKj5cPmPllQtESvoaHhtnwy4GOHrBMUHlb3yYKiJXoNDQ23JTg4GM9cQcraeIee/7C6TxYUbTFWQ0PDbXGX2v/ijpboNTQ03JqgoCASt+8grGM4+1bH2a39//9kf+AMWqLX0NBwe6x97qdPj7Co/Z81ZYbb1P67I9qGKQ0NDY1iiqMbprThT0NDQ+Mhxy1m9EKIy8DZAh6mHHClEMK5X7h7fOD+MWrxFQwtvoLhjvFVk1KWz+9JbpHoCwMhxF5HbmGKCnePD9w/Ri2+gqHFVzDcPT57aNKNhoaGxkOOlug1NDQ0HnIepkQ/p6gDyAd3jw/cP0YtvoKhxVcw3D0+mzw0Gr2GhoaGhjoP04xeQ0NDQ0MFLdFraGhoPOQU20QvhHhECLFKCHFECJEqhGgshCgjhIgRQhw3/lvazeIbI4T4UwhxwPhfaBHFVtMshgNCiFtCiE/c5fzZic8tzp8xxsFCiN+FEIeEED8JIXyFEI8LIZKM52+FEMLbzeJbIIQ4bXb+6hZhfIOMsf0uhPjE+JhbXH924nOb689Ziq1GL4RYCGyXUv5o/EL5AyOBa1LKCUKIz4HSUsrP3Ci+T4B0KeU3RRGTGkIID+BP4EWgP25y/mzE1xs3OH9CiMeAHcCzUsoMIUQEsBkIBSKllMuFELOAX6WUP7hRfK2AjVLKVQ86Jqv4agPLgReALCAa+BDoixtcf3bi64EbXH+uUCxn9EKIkkAL4H8AUsosKeUN4BVgofFpC4FObhafO9IGOCmlPIubnD8rzONzJzwBPyGEJ4ZB/ALwEqAk0aI+f9bx/VWEsVjzDLBbSnlHSpkDxAOdcZ/rz1Z8xZZimeiBGsBlYL4QYr8Q4kchRABQUUp5AcD4bwU3iw9ggBDiNyHEvKK8NTXjdeAn4/+7y/kzxzw+cIPzJ6X8E/gGOIchwd8EUoAbxsQA8AfwmLvEJ6XcYvz1l8bzN1UI4VMU8QGHgBZCiLJCCH8Md0JVcJ/rz1Z84AbXnysU10TvCdQHfpBS1gNuA58XbUgW2IrvB+AJoC6GL+DkIosQMEpKHYGVRRmHLVTic4vzZ/yCvwI8DlQCAoAQlacWiS6qFp8QoicwAngaaAiUAYpElpNSpgITgRgMssivQI7dFz1A7MTnFtefKxTXRP8H8IeUMsn48yoMifVvIcSjAMZ/L7lTfFLKv6WUuVJKPTAXgwZYlIQA+6SUfxt/dpfzp2ARnxudv7bAaSnlZSllNhAJNAEeMUolAJUpOrlENT4p5QVpIBOYTxFef1LK/0kp60spWwDXgOO40fWnFp8bXX9OUywTvZTyInBeCFHT+FAb4DCwHnjb+NjbwLoiCM9mfMpFbKQzhlvEouQNLGURtzh/ZljE50bn7xzQSAjhL4QQ3Lv+4oBXjc8pyvOnFl+qWRIVGPTvIrv+hBAVjP9WBbpg+Du7zfWnFp8bXX9OU5yrbuoCPwLewCkMFRk6IAKoiuFif01Kec2N4puO4bZPAmeAfoomWQTx+QPngRpSypvGx8riPudPLb7FuM/5Gwt0x3BLvx94D4MmvxyDLLIf6GmcPbtLfFFAeUAAB4APpJTpRRTfdqAskA0MkVL+4mbXn1p8bnP9OUuxTfQaGhoaGo5RLKUbDQ0NDQ3H0RK9hoaGxkOOlug1NDQ0HnK0RK+hoaHxkKMleg0NDY2HHC3Ra2hoaDzkaIleQ0ND4yHn/wClwZTh0+yFhQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "EPS = 5\n",
    "MIN_SAMPLES = 10\n",
    "dbscan(dataset, EPS, MIN_SAMPLES)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "當ϵ=12和 MinPts =10，得到如下分類圖：\n",
    "\n",
    "顯然ϵ跨越了 gap，所以導致分類失敗。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "n_clusters: 1\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "EPS = 12\n",
    "MIN_SAMPLES = 10\n",
    "dbscan(dataset, EPS, MIN_SAMPLES)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "當ϵ=5和 MinPts =3，得到如下分類圖：\n",
    "\n",
    "降低鄰域內的樣點數同樣能導致分類失敗。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "n_clusters: 8\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "EPS = 5\n",
    "MIN_SAMPLES = 2\n",
    "dbscan(dataset, EPS, MIN_SAMPLES)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "所以說，DBSCAN 算法很依賴參數的設置，在特定領域參數的設置需要領域專家來完成\n",
    "To choose good parameters we need to understand how they are used and have at least a basic previous knowledge about the data set that will be used.\n",
    "\n",
    "- `eps`: if the eps value chosen is too small, a large part of the data will not be clustered. It will be considered outliers because don’t satisfy the number of points to create a dense region. On the other hand, if the value that was chosen is too high, clusters will merge and the majority of objects will be in the same cluster. The eps should be chosen based on the distance of the dataset (we can use a **k-distance** graph to find it), but **in general small eps values are preferable**.\n",
    "- `minPoints`: As a general rule, a minimum minPoints can be derived from a number of dimensions (D) in the data set, as *`minPoints` ≥ D + 1*.\n",
    "    - Larger values are usually better for data sets with noise and will form more significant clusters.\n",
    "    - The minimum value for the minPoints must be 3, but _the larger the data set, the larger the minPoints value that should be chosen_."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
