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@roadsideseb
Last active December 12, 2016 18:50
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Classification of Python conferences by men and women speaker based on pyvideo.org data
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Women Speakers At Python Events\n",
"\n",
"This is an ongoing experiment trying to figure out the number of women speakers at various Python event. The numbers are generated from [the raw data used to power pyvideo.org available on Github](https://github.com/pyvideo/data/).\n",
"\n",
"**Note** The data for these events might not be complete and I haven't manually verified the completeness of these event.\n",
"\n",
"The Speakers have been extracted from the raw data and classified manually using the following approach:\n",
"\n",
"* Automated classification by name using the https://api.genderize.io/ API for confidence levels of a probability **greater than 90%** and a sample size **greater than 10**.\n",
"* Remaining speakers where classified by investigating the videos posted on http://pyvideo.org. \n",
"* The few remaining unclassified speakers where excluded from the percentages below."
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"%matplotlib inline\n",
"\n",
"from tinydb import TinyDB, Query\n",
"from models import Speaker, SpeakerSchema\n",
"from collections import defaultdict"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"db = TinyDB('pyvideo-speakers.json')\n",
"speakers = db.table('speakers')"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"stats = {}\n",
"schema = SpeakerSchema()\n",
"\n",
"for speaker_data in speakers.all():\n",
" if speaker_data.get('excluded'):\n",
" continue\n",
" speaker = schema.load(speaker_data).data\n",
" for talk in speaker.talks:\n",
" if 'lightning talk' in talk.title.lower():\n",
" continue\n",
" \n",
" if talk.conference not in stats:\n",
" stats[talk.conference] = defaultdict(int)\n",
" stats[talk.conference]['title'] = talk.conference_name\n",
" stats[talk.conference][speaker.gender] += 1"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false,
"scrolled": false
},
"outputs": [],
"source": [
"from decimal import Decimal as D\n",
"from collections import namedtuple, defaultdict\n",
"\n",
"Stat = namedtuple('Stat', ['title', 'year', 'men', 'women', 'other', 'ratio'])\n",
"\n",
"ratios = defaultdict(list)\n",
"for data in stats.values():\n",
" try:\n",
" title, year = data.get('title').rsplit(' ', 1)\n",
" year = int(year)\n",
" except (ValueError, TypeError):\n",
" continue\n",
" \n",
" male = data.get('male', 0)\n",
" female = data.get('female', 0)\n",
" other = data.get('other', 0)\n",
" total = (male + female)\n",
" if total == 0:\n",
" continue\n",
" \n",
" ratio = D((100. / total) * female).quantize(D('0.01'))\n",
" ratios[title].append(Stat(title, year, male, female, other, ratio))"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": false,
"scrolled": false
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/Users/sebastianvetter/.virtualenvs/roadwork/lib/python3.5/site-packages/matplotlib/pyplot.py:524: RuntimeWarning: More than 20 figures have been opened. Figures created through the pyplot interface (`matplotlib.pyplot.figure`) are retained until explicitly closed and may consume too much memory. (To control this warning, see the rcParam `figure.max_open_warning`).\n",
" max_open_warning, RuntimeWarning)\n"
]
},
{
"data": {
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PAP5Yuv8OsEJXFCVJkopVSQ/CPcDVEfE3YDPgt6X2LYEXu6guSZJUoEp6EL4MTAXWAg5K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\n9ddbbttttx0rrbQSf/rTn1q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"text/plain": [
"<matplotlib.figure.Figure at 0x1074d10b8>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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EtE8pPZFSugD4BNgWGAEsAr4P/DciZjRBjZIkqQwtz+mMeRHxb7LTGasAHVNK\nkyPic+A7wBvA9k1QoyRJKkPL0xOxHvBr4FOy8PFkREwkCxT9yW6rManxS5QkSeWowSEipVSZUvp7\nSukMYD7wVeBPZLcC/wNZT8UjTVOmJEkqNysy2dTclNItwEJgd6APcGmjVCVJkspe3rt4bgW8WXj8\nOrAwpfQ2cHOjVCVJksperhCRUvpf0eMtGq8cSZLUUnjvDEmSlIshQpIk5WKIkCRJuRgiJElSLoYI\nSZKUiyFCkiTlYoiQJEm5GCIkSVIuhghJkpSLIUKSJOViiJAkSbmURYiIiMERcVdEvBkRVRGxXz3b\nnBMRsyJifkT8IyL6lqJWSZKUKYsQAawOPAX8AEh1V0bE6cAJwLHA9sDHwP0RsUpzFilJkr6Q91bg\njSqldB9wH0BERD2bnAT8KqX098I2w4HZwAHALc1VpyRJ+kK59EQsUUT0AdYFHqxuSynNA6YAO5aq\nLkmS2rqyDxFkASKR9TwUm11YJ0mSSqAlhIglCeoZPyFJkppHWYyJWIa3yQJDd2r3RnQD/r20HS8A\nbq7TNrSwSJLU1lVUVFBRUVGrbe7cuQ3ev+xDRErp1Yh4G/g68AxARKwBDAQuWdq+pwJHNHmFkiS1\nTEOHDmXo0Np/Wk+bNo0BAwY0aP+yCBERsTrQl6zHAWCjiNgaeD+l9D/gj8CZEfEy8BrwK+AN4M4S\nlCtJkiiTEAFsBzxMNsYhkZ2JALge+H5K6fyI6AhcAawJTAS+mVL6rBTFSpKkMgkRKaVHWMYgz5TS\n2cDZzVGPJElatpZ8dYYkSSohQ4QkScrFECFJknIxREiSpFwMEZIkKRdDhCRJysUQIUmScjFESJKk\nXAwRkiQpF0OEJEnKxRAhSZJyMURIkqRcDBGSJCkXQ4QkScrFECFJknIxREiSpFwMEZIkKRdDhCRJ\nysUQIUmScjFESJKkXAwRkiQpF0OEJEnKxRAhSZJyMURIkqRcDBGSJCkXQ4QkScrFECFJknIxREiS\npFwMEZIkKRdDhCRJysUQIUmScjFESJKkXAwRkiQpF0OEJEnKpUWEiIj4RURU1VmeL3VdkiS1ZSuX\nuoDl8BzwdSAKzz8vYS2SJLV5LSlEfJ5SerfURUiSpEyLOJ1RsElEvBkR/42IGyOiZ6kLkiSpLWsp\nIeKfwJHAnsBxQB/g0YhYvZRFSZLUlrWI0xkppfuLnj4XEU8ArwOHAtcuab8LgJvrtA0tLJIktXUV\nFRVUVFTf86H9AAAbLklEQVTUaps7d26D928RIaKulNLciHgR6Lu07U4FjmiekiRJanGGDh3K0KG1\n/7SeNm0aAwYMaND+LeV0Ri0R8SVgY+CtUtciSVJb1SJCRET8PiJ2jogNI2In4A6ySzwrlrGrJElq\nIi3ldMYGwFhgbeBdYBKwQ0rpvZJWJUlSG9YiQkRKybGQkiSVmRZxOkOSJJUfQ4QkScrFECFJknIx\nREiSpFwMEZIkKRdDhCRJysUQIUmScjFESJKkXAwRkqQW47e//S3bb789a6yxBt27d+fAAw/kxRdf\nLHVZbZYhQpLUYkycOJETTzyRKVOm8MADD7Bw4UKGDBnCJ598UurS2qQWMe21JEkA48aNq/X8uuuu\no1u3bkydOpVBgwaVqKq2y54ISVKLNWfOHCKCLl26lLqUNskQIUlqkVJK/OhHP2LQoEFsvvnmpS6n\nTfJ0hiSpRRo5ciTPP/88kydPLnUpbZYhQpLU4pxwwgmMGzeOiRMn0qNHj1KX02YZIiRJLcoJJ5zA\nnXfeySOPPEKvXr1KXU6bZoiQJLUYI0eOpKKigrvuuovVV1+d2bNnA9C5c2c6dOhQ4uraHgdWqkEm\nTpzIfvvtx/rrr0+7du246667Sl2SpDbo8ssvZ968eey6666st956Ncstt9xS6tIaVUv5zDVEqEE+\n/vhjttlmGy655BIiotTlSGqjqqqqWLRo0WLL8OHDS11ao2opn7mezlCD7LXXXuy1115AdlmVJNU1\nffr0UpfQ5Lp27dos4zBaymeuIUKStELeAtq1g2HDhpW6lCbXsWMHpk+f4YDOAkOEJGmFzAGqqmDU\nKNhww1JX03Refx3OPXcBlZWVhogCQ4QkqVFsuCFsummpq1BzcmClJEnKxRAhSZJy8XSGGuTjjz/m\n5Zdfrhkl/Morr/D000/TpUsXevbsWeLqJKl1aSmfufZEqEGefPJJtt12WwYMGEBEcOqpp9K/f39+\n8YtflLq0JnHJJZfQp08fVlttNXbYYQf+9a9/lbokSW1IS/nMtSdCDbLLLrtQVVVV6jKaxc0338yp\np57KlVdeyfbbb89FF13EnnvuyYsvvkjXrl1LXZ6kNqClfOYaIloBJ3hpXBdddBHHHntszQx4l19+\nOffccw/XXHMNp512WrPUIKl8tfbP3OV5f4aIFswJXhrfwoULmTp1KqNGjappiwj22GMPHn/88SZ9\nbUnl7f33oV27dm3iM7ehDBEtmBO8NL7KykoWLVpE9+7da7V3796dGTNmNOlrSypvH32U3bvjxhtv\npF+/fqUup8mMGzeOs846q0HbGiJaASd4aXoppbK+CY6k5tOvXz/69+9f6jKazPKczvDqDKlI165d\nWWmllZg9e3at9nfeeWex3glJautaVIiIiB9ExKsR8UlE/DMivlrqmtS6tG/fngEDBvDggw/WtKWU\nePDBB9lpp51KWJkklZ8WEyIi4jvABcAvgG2Bp4H7I8Jr7tSoTjnlFK688kpuuOEGXnjhBY477jjm\nz5/PkUceWerSJKmstKQxEScDV6SUbgCIiOOAfYDvA+eXsjC1LoceeiiVlZX8/Oc/Z/bs2WyzzTbc\nf//9rLPOOqUuTZLKSosIERHRHhgAnFvdllJKEfEAsGPJClOrNXLkSEaOHFnqMiSprLWIEAF0BVYC\nZtdpnw1sVs/2HQAmN3FRpVb9/qZMgZkzS1pKk3rrrezfcePGtfpJXiAb3GmvR+tQ/f06DmjN37lt\n5bPo2Wezf1v7Z9HkyTW/PTssa9uovrlHOYuIHsCbwI4ppSlF7ecDg1JKO9XZ/nBgTPNWKUlSq3JE\nSmns0jZoKT0RlcAioO41dt1YvHcC4H7gCOA1YEGTViZJUuvSAehN9rt0qVpETwRARPwTmJJSOqnw\nPICZwMUppd+XtDhJktqgltITAXAhcH1ETAWeILtaoyNwXSmLkiSprWoxISKldEthTohzyE5rPAXs\nmVJ6t7SVSZLUNrWY0xmSJKm8tJgZKyVJUnkxREiSpFwMEWoWEXFGRDwREfMiYnZE3BERm9bZZtWI\nuCQiKiPiw4i4LSK61dnmjxHxZEQsiIhpy3jNvoXjvN8U70lSy9Jcn0MRsWFEVNVZFkXE9k39Hpub\nIULNZTDwJ2AgsAfQHhgfEasVbfNHsvuhHATsDKwH/K2eY10N3LS0F4uIlYGxwCMrXLmk1qI5P4cS\nsDuwbmHpAUxdwfrLjgMrVRKFK23eAXZOKU2KiDWAd4HDUkp3FLbZjGy24B1SSk/U2f8XwP4ppf5L\nOP7vyH5wHwIuSil1abp3I6klaqrPoYjYEHgV2Cal9EwzvJWSsSdCpbImWVKvPtUwgOyS4werN0gp\nzSCbUGy5brIWEbuT/RXxg0apVFJr1WSfQwV3FU6bTIyIfVe02HJkiFCzK8w2+kdgUkrp+ULzusBn\nKaV5dTafXVjX0GOvDVwLfC+l9FFj1Cup9WnKzyHgI+AU4BBgb2AS8P8i4lsrVnX5aTGTTalVuRTY\nHBjUgG2D7C+FhvoLMCalVH0buljO2iS1DU32OZRSeo8soFSbGhHrAT8B7l6eIsudPRFqVhHxZ7Jk\nvmtKaVbRqreBVQrnJIst6SZrS7Ib8OOIWBgRC4GrgDUj4rOIOHIFSpfUSjTD51B9pgB9V/AYZccQ\noWZT+MHdH9gtpTSzzuqpwOfA14u23xToBTy+HC+zA7ANsHVh+Tkwr/D4jtzFS2oVmulzqD7bAm+t\n4DHKjqcz1Cwi4lJgKLAf8HFEVN/WfW5KaUFKaV5EXA1cGBEfAB8CFwOTi0dER8TGQCeyy6VWi4it\nC6v+k1L6vDAIqvh1vwpUpZSmN+kblFT2mutzKCKGA58B/y60HwQcCfxf077D5uclnmoWEVFF/ecU\nR6SUbihssyrwB7If8lWB+4AfpJTeKTrOw2TXbtfVp56/KoiI7+ElnpJovs+hQog4nawH43PgBeD8\n6stGWxNDhCRJysUxEZIkKRdDhCRJysUQIUmScjFESJKkXAwRkiQpF0OEykpEnBERVRFxYVHbhRHx\nXkS8HhGH19n+0Ii4s/krldTaRMR6EfHXiKiMiPkR8XRE9C9a/+OIeLuwnFJn34ER8a/CPTnaDCeb\nUtkoTAx1NPB0Udu+wGHAHsBmwDURcV9K6f2IWBP4NdlU15KUW+HzZDLZHTz3BCqBTYAPCuu3BH5J\nNl12O+CeiLg/pfSfiFgZuAw4KrWxeRPsiVBZiIgvATcCRwFzilZ9GZiQUvp3Sukmsims+xTW/Q74\nc0rpzWYtVlJr9FNgZkrpqJTS1JTS6ymlB1JKrxbWfxl4OqX0SErpYeCZQhvAacAjKaVpJai7pAwR\nKheXAH9PKT1Up/1pYLuIWDMiBgAdgJcjYhDZXPR/auY6JbVO+wJPRsQtETE7IqZFxFFF658FNo2I\nDSJiQ7Jeimcjoi8wHDizBDWXnCFCJRcRh5HdNOuMuutSSuPJeij+BVxD9sM6n+w2vscCP4iIFyJi\nYkRs3nxVS2plNgKOB2YAQ4DLgYsjYhhASukFYBTwANlU2D9NKb1IdhrjNOCbEfFsREyNiMGleAOl\n4LTXKqmI2AB4EvhGSunZQtvDwL9TSqcsYZ+zyW5+cx0wHvgK2Q11TkgpbdcMZUtqZSLiU+CJlNLg\norbRwHYppa8tYZ8jyXowqsPHALL7ZYwBeqeUFjZ13aVmT4RKbQCwDjA1IhZGxEJgF+CkiPis7kjn\niPgy2Y1xzgJ2JTsP+T5wC9C/MLZCkpbXW0Ddu/1OJwsFi4mIrmSfQycCA4EZKaVXUkoTgPbApk1X\navnw6gyV2gPAlnXariP74T2vnpHOVwCnpJTmR8RKZD+sAKuQ3Z3PYCwpj8lkV4AV2wx4fQnbXwRc\nkFKaFRHb88VnEWS/W1dq/BLLjyFCJZVS+hh4vrgtIj4G3kspTa/TfgwwO6V0T6FpMvCLiBhIdtnV\n8ymlec1QtqTW5yJgckScQdazOZDsarGj624YEd8A+qaUvltoegL4ckTsxRe3/57RLFWXmCFC5Wix\ngToR0Y3sEqwdazZK6V8RcQFwDzCbbNClJC23lNKTEXEgcB7ZaYpXgZMKl5bXiIgOwMXAoUX7zoqI\nE4FrgQXA8JTSp81WfAk5sFKSJOXi+WNJkpSLIUKSJOViiJAkSbkYIiRJUi6GCEmSlIshQpIk5WKI\nkCRJuRgiJElSLoYISZKUiyFCkiTl4r0zylxE9AK6lroOSVKDVaaUZpa6iOZgiChjEdGrXbt2M6qq\nqjqUuhZJUsO0a9duQURs1haChCGivHWtqqrqcOONN9KvX79S1yJJWobp06czbNiwDmQ9yIYIlV6/\nfv3o379/qcuQJKkWB1ZKkqRcDBGSJCkXQ4QkScrFECFJknIxREiSWo127drxwx/+sNRltBlendFC\nzZw5k8rKylKXQdeuXenVq1eufa+//npGjBgBwKRJk9hpp50W26Znz568+eabfOtb3+Kuu+5aoVrL\nVUv/Wt5yyy0cdthh3HHHHey///611m211VY899xzPPzww+yyyy611vXq1YsNN9yQiRMnrlDdbV05\nfP+syOdAseeff55zzz2XCRMmUFlZydprr81uu+3GqFGj2HzzzWu2e/zxxxk/fjwnn3wya6yxxgq/\nrvIzRLRAM2fOpN9mmzF/wYJSl0LHDh2YPmPGCn2ArLbaaowdO3axEPHII4/w5ptv0qFD651ra+bM\nmfTrtxnz55fB17JjB6ZPX/6v5eDBg4EsCBaHiA8//JDnn3+e9u3bM3ny5Foh4o033uCNN95g2LBh\njVN8G5V9//Rj/vz5Ja2jY8eOTJ8+fYU+B26//XYOP/xw1l57bf7v//6PPn368Nprr3H11Vdz2223\ncfPNN9d8fz322GOcc845jBgxwhBRYoaIFqiyspL5CxZwI1DKKaimA8MWLKCysnKFPjz23ntvbr31\nVi6++GLatfviDNvYsWPZbrvtSv5XVlOqrKxk/vwFjBoFG25Yujpefx3OPTff17JHjx707t2bSZMm\n1Wp//PHHSSlx8MEHL7Zu0qRJRARf+9rXVrj2tiz7/plPKSekK0yutEKfA6+88grDhw+nb9++PPro\no3Tp0qVm3UknncSgQYP47ne/yzPPPEPv3r1JKTVW+bl8+umnrLLKKkRESesoB4aIFqwf0NKnoIoI\nhg4dyh133ME//vEP9txzTwAWLlzIbbfdxllnncXo0aNr7ZNSYvTo0Vx11VX897//pXPnzhxwwAGc\nd955rLnmmjXb9e7dm6222orTTz+dU045hWeeeYb11luPs88+m+9+97vN+j6XZcMNYdNNS11FfoMG\nDeKWW27h008/ZdVVVwVg8uTJbLHFFuy9996ccMIJtbavGyI+//xzfvOb33DDDTfw5ptvst566zFs\n2DDOOuss2rdvX7PfBhtswPbbb88JJ5zAaaedxvPPP8+mm27Kn//8ZwYNGsStt97KOeecw8svv8wW\nW2zB1VdfzVZbbVXrtadPn86ZZ57JhAkT+OSTT9hiiy04++yz2XvvvWu2ueqqqzjmmGN4/PHHqaio\nYMyYMXzyySfstdde/OUvf2GttdZqqv/KXFr6hHTnn38+n3zyCVdeeWWtAAHQpUsXLr/8cnbddVfO\nP/98unfvzi9/+Usigt69ewPZ58irr75aK8TceeednHnmmbz00kv07duXCy64oObzpdqsWbM488wz\nGTduHHPmzKFv376ccsopfP/736/Z5pFHHmG33XajoqKCZ599luuvv5633nqL999/314QHFipMtC7\nd2922GEHKioqatrGjRvHvHnzOOywwxbb/phjjuH0009n8ODBXHzxxXz/+99nzJgx7LXXXixatKhm\nu4jgpZde4pBDDmHIkCFceOGFdOnShREjRjB9+vRmeW9txaBBg1i4cCFTpkypaZs8eTI77bQTO+64\nI3PnzuW5556rWffYY4/Rr1+/mtB35JFH8stf/pKBAwdy0UUXMXjwYH79618vdrojInjhhRcYPnx4\nTXB899132XfffRkzZgynn3463/ve9/jlL3/JSy+9tNj3z7PPPsuOO+7Iyy+/zBlnnMEf/vAHVltt\nNfbbbz/uvvvuWq8DMHLkSKZPn84555zD8ccfz5133umgvSZw991307t373rHRQHsvPPO9O7dm7vv\nvpuDDjqIoUOHAjB69GhuvPFG/vrXv7LOOuvUbD9x4kR+8IMfMHToUH7/+9/z6aefcvDBB/P+++/X\nbPPOO+8wcOBAHnroIX74wx9y8cUXs8kmm3DUUUdx8cUXL1bDr371K+69915+/OMfc+6557LKKqs0\n8v9Cy2RPhMrC4YcfzqhRo2r+kh07diy77LIL6667bq3tJk2axNVXX01FRQXf+c53atp322039txz\nT2699dZavzhefPFFJk6cWPPhdMghh9CzZ0+uvfZazj///OZ5c23AoEGDSCkxadIkdt55ZxYtWsSU\nKVMYMWIEG220Ed27d2fSpElsscUWfPTRRzz77LMcddRRAEydOpWxY8dy/PHHc8kllwBw/PHHs/ba\nazN69GgmT55c67THjBkzeOKJJxgwYAAAm2yyCfvssw/HHXccL774Ij169ACgU6dOnHDCCTz22GM1\nX/8TTzyRvn37MmXKFFZaaSUgCwo77LADP/3pT/nWt75V632tu+663HPPPTXPP/vsMy677DKuuOIK\nOnbs2ET/m23LvHnzmDVrFgcccMBSt9tqq634+9//Tp8+fejfvz833XQT+++/f72nUF544QWmT59e\n01Ox6667svXWW3PTTTcxcuRIAEaNGkVKiaeeeqomzB5zzDEcfvjhnH322Rx77LE1vWqQncKYNm2a\n4aEOeyJUFg499FDmz5/P3XffzUcffcTdd9/NEUccsdh2t956K2uuuSZf//rXee+992qWbbfdli99\n6Us8/PDDtbbffPPNa/1107VrVzbbbDNeeeWVJn9Pbcnmm29Oly5dasY+PPXUU8yfP7/m/36nnXZi\n8uTJQNYLsWjRopoBmePGjSMiOOWUU2od89RTTyWlVOuXOGS/TKoDBMDAgQMBGDJkSE2AqG5PKdV8\nrSsrK3n00Uc59NBDmTNnTs33TmVlJXvuuSfTp0/n3Xffrdk/Ijj22GNrvfbgwYNZtGgRM2e2+vsq\nNZsPP/wQyELf0lSvnzdv3jKP+Y1vfKMmQABsueWWrLHGGrV+7m+//Xb23XdfFi1aVOuzZMiQIcyd\nO5dp06bVOuaRRx5pgKiHPREqC127dmWPPfZg7NixfPzxx1RVVXHwwQcvtt3LL7/MnDlz6Nat22Lr\nIoJ33nmnVlt9f6WstdZafPDBB41XvIAsKFRfrjl58mS6detGnz59atZV9zJMnjy51niImTNnsvLK\nK7PxxhvXOt76669Pp06deP3112u11/2adu7cGcjGS9TXXv21fumllwA444wz+OlPf7pY/dXfP8Xd\n4j179qy1TfVYCL9/Gk91OKgOE0vS0LABi3/doPbP/bvvvsucOXO48sorueKKKxbbtr7PkuJQoi8Y\nIlQ2Dj/8cI4++mjeeustvvnNb9b7YVFVVUX37t0ZO3ZsvSO0i38BADVd1nWVenR3azRo0CDuuece\nnn322VqnECALEaeddhqzZs1i8uTJrLfeemxYuBxlaV+L+tYt6Wu6rK91VVUVAKeffjp77LFHvdtW\nh56GHlMrbo011qBHjx4888wzS93umWeeYf311+dLX/rSMo/Z0O+FYcOG8b3vfa/ebesOyF1ttdWW\n+bptkSFCZePAAw/k2GOPZcqUKdx88831brPxxhvz4IMPstNOO9U6X6nSGzRoEJANaps8eTInn3xy\nzboBAwaw6qqrMmHCBKZMmVJr7EHv3r35/PPP+e9//1urN2LWrFl89NFHNWFjRVUfe5VVVmH33Xdv\nlGOqcXzrW9/iqquuWix8Vps4cSKvvfYaxx9/PMAKX1q5zjrr0KlTJxYtWuT3wgpyTITKxuqrr87l\nl1/O2Wefzb777lvvNoceeiiff/4555xzzmLrFi1axNy5c5u6TC3BV7/6VVZddVXGjBnDrFmzav0y\nWGWVVdh222255JJLmD9/fk3ggGyekJQSf/zjH2sd74ILLiAi2GeffRqlvnXXXZdBgwZx2WWXLdZV\nDbTq+UjK3U9+8hM6dOjAscceW+sKCoD333+f4447jtVXX50f//jHQPZZATBnzpxcr9euXTsOOugg\n/va3v/Gf//xnsfV+LzScPREtWKkvUmyM16/bLbys+Rt23nlnjj32WM477zyeeuophgwZQvv27Xnx\nxRe57bbbuPjii/n2t7/dCJU1rzqn/Vvk67dv357tttuOSZMm0aFDh1qDHyE7pVEdDIpDRP/+/Tni\niCO49NJLee+99xg8eDCPP/44N954I4ceemijTkh12WWXsfPOO7PFFltw9NFH06dPH2bPns1jjz3G\n7NmzefLJJ2u2XdIpi3I8lVHKS5Yb47X79u3L9ddfz7Bhw9hyyy1rZqx89dVXueaaa3jvvfe46aab\nak43DRgwgJQSo0aN4rDDDqN9+/bst99+y3XK4bzzzmPChAkMHDiQo48+ms0335z333+fqVOn8tBD\nDxkkGsgQ0QJ17dqVjh06MKxMpr3u2rVr7v0b0i0ZEbW2u+yyy9huu+244oor+NnPfsbKK69M7969\nGT58eK1fOHX3W97XbQ5du3alY8cOnHtuGXwtO67Y1xKyqxcmT57MdtttV2uSKICvfe1rXHjhhayx\nxhqLnW++7rrr2GSTTbj++uu5/fbb6dGjB2eddRZnnXVWre2W9DVtaPtXvvIVnnzySc4++2yuvfZa\nPvjgA7p168a2225b72vVp1y+d6D6+6djyacP79ix4wp/7xx88MH069eP3/72t1xzzTU1987Yfffd\nOeOMM2rdO2O77bbj17/+NZdffjn3338/VVVVNZNNNfR7oVu3bjzxxBOcc8453HHHHVx22WWsvfba\nfOUrX1ns8u9y+pqXmyjHVK1MRPQHpk6dOnWx2ejK4aY70Hg33mnL/FpqRZTD94/fO1+YNm1adS/c\ngJTStGVt39LZE9FC9erVyx/aVsKvpVaE3z8qJQdWSpKkXAwRkiQpF0OEJEnKxRAhSZJyMURIkqRc\nDBGSJCkXQ4QkScrFeSJagFJOaStJari29nntjJVlLCJ6tWvXbkZVVVWHUtciSWqYdu3aLaiqqtos\npTSz1LU0NUNEmYuIXsCKTUovSWpOlW0hQIAhQpIk5eTASkmSlIshQpIk5WKIkCRJuRgiJElSLoYI\nSZKUiyFCkiTlYoiQJEm5/H+v7qtGavxrJwAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x107c65320>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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SLoYISZKUiyFCkiTlYoiQJEm5GCIkSVIuhghJkpSLIUKSJOViiJAkSbkYIiRJUi6GCEmS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\nRK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10926d6a0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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3RkSfFvrvD/wk7/954BBgX+DHC6VgSZI0l04RKoDjgStSStenlJ4HjgRmkIWFarYExqaU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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1092dc550>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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Q7BsREalORowYQevWrXniiScK29q0aVOkT7NmRU9i+/e//81xxx23Qz+p2TIyMsjIKPrR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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10bb30978>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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SJCkXQ4QkScrFECFJknIxREiSpFwMEZIkKRdDhCRJysUQIUmScjFESJKkXAwR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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1068317b8>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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vRsQzZIFiI7LLaoxp/hIlSVIpanSISClVppT+mlI6BZgN/A/wJ7Ilq/9INlLx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\n4Sn/OJQAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x106d7aef0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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ktXtlESIiYkVgQ6DuzIwNIqIPMA2YAvyN7DTPPYCOEbFmod+0lNLcpV2vJEkqkxAB9Ace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\nD61/18I52MQCAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x106b4f550>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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EdG/pYiRJUvvR7BAREZ8runswsFZh+fMRsVFLFyZJkirb8pzi+UJEvAeMA7oA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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1066b6d30>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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eAKSU5lp/zjnnsPfee/PLX/6yaVmfPn0WW32Slgz2REjtTEqJ+++/n/XXX5899tiDHj16\nsM0223DPPfdUujRJNcYQIbUzH3zwAZ9++im/+tWv2GuvvXj44Yf51re+xYEHHsiTTz5Z6fIk1RB3\nZ0jtTENDAwAHHHAAJ598MgCbbropY8eO5aqrrmLAgAGVLE9SDbEnQmpnunXrxtJLL03fvn2bLe/b\nty8TJ06sUFWSapEhQmpnOnbsyFZbbcXLL7/cbPkrr7xCr169KlSVpFrk7gxpCfTZZ5/x2muvNR2Z\n8cYbb/Cvf/2LVVZZhbXXXpsf/ehHHHrooQwYMICBAwfy4IMPct999/H4449XuHJJtcQQIS2Bnnnm\nGQYOHEhEEBGcfvrpABx55JFcf/31HHDAAVx11VVccMEFnHLKKWy44YbcddddbLvtthWuXFItMURI\nS6Add9yxaQBla4466iiOOuqoxVOQpCWSIULtSl1dXaVLUBXp1q0bPXv2rHQZUs0yRKhdeA/o0AEG\nDx5c6VJURbp27UJd3csGCSknQ4TahSlAQwOcfTZ4AIIA3n4bLrhgBvX19YYIKSdDhNqVXr1ggw0q\nXYUkLRmcJ0KSJOViiJAkSbkYIiRJUi6GCEmSlIshQpIk5WKIkCRJuRgiJElSLoYISZKUS1WEiIgY\nEBH3RsS7EdEQEfuVrL+hsLz48kCl6pUkSVUSIoBlgWeBHwCplTYPAj2A1QuXQYunNEmS1JKqmPY6\npfQX4C8AERGtNJuZUvpw8VUlSZLmpVp6Itpip4iYHBEvRcTvImKVShckSVJ7VhU9EW3wIPAn4E1g\nXeCXwAMRsW1KqbXdH5IkaRGqiRCRUrq96Oa/I+J54HVgJ+DR1ra7GLitZNkgHEwhSRLAqFGjGDVq\nVLNlU6dObfP2NREiSqWU3oyIemA95hEiTgcOX2xVSZJUWwYNGsSgQc1/Wk+YMIF+/fq1aftaGhPR\nJCK+AqwKvFfpWiRJaq+qoiciIpYl61VoPDJjnYjYDPi4cPkZ2ZiI9wvtfgW8Ajy0+KuVJElQJSEC\n2JJst0QqXC4uLL8ROBHYFDgCWAmYRBYefppSmrX4S5UkSVAlISKl9Djz3rWyx+KqRZIktU1NjomQ\nJEmVZ4iQJEm5GCIkSVIuhghJkpSLIUKSJOViiJAkSbkYIiRJUi6GCEmSlIshQpIk5WKIkCRJuRgi\nJElSLoYISZKUiyFCkiTlYoiQJEm5GCIkSVIuhghJkpSLIUKSJOViiJAkSbkYIiRJUi6GCEmSlIsh\nQpIk5WKIkCRJuRgiJElSLoYISZKUiyFCkiTlssAhIiKOjIi9i25fFBFTImJsRPQqb3mSJKla5emJ\nOBv4HCAitgVOAn4M1AOXlq80SZJUzZbOsc3awGuF6wcAd6aUromIMcBj5SpMkiRVtzw9EZ8Cqxau\n7wb8rXB9BrBMOYqSJEnVL09PxMPAtRHxT2AD4P7C8q8Bb5WpLkmSVOXy9ET8ABgLrAYclFL6qLC8\nHzCqXIVJkqTqtkA9ERGxNHAy8KuU0jvF61JKPytnYZIkqbotUE9ESulLsiMx8uwGkSRJS5A8uzMe\nAXYsdyGSJKm25OlReBC4MCI2AcYDnxWvTCndW47CJElSdcsTIn5X+Pe0FtYlYKn85UiSpFqxwCEi\npeT5NiRJ0sKdgCsiupSrEEmSVFvynIBrqYg4NyLeBT6NiHUKy8+PiO+VvUJJklSV8vRE/AQ4iuxQ\nzy+Klr8AfL8MNUmSpBqQJ0QcARybUroFmF20/F/AV8tSlSRJqnp5QsRazDmLZ+l9dVy4ciRJUq3I\nEyJeBAa0sPxg4J8LV44kSaoVeeaJGAbcGBFrkYWQAyNiQ7LdHPuUszhJklS9FrgnIqV0D1lY2JVs\ntsphQF9g35TSw+UtT5IkVatcJ9JKKY0Gvlm6PCIipZQWuipJklT18swT8aNWli8FjFzoiiRJUk3I\nM7DyRxHRbD6IQoC4Ffh6WaqSJElVL8/ujL2Bv0bE1JTSHRHREbiNbI6IgWWtTpIkVa08J+D6v4g4\nCPjfiJhJNkvlusDAlNLkchcoSZKqU64TcKWU/g58F/gT0BvY0QAhSVL70qaeiIi4q5VVHwJTgGsi\nAoCU0oHlKU2SJFWztu7OmNrK8ofKVYgkSaotbQoRKaUhi7oQSZJUW3KNiZAkSco1Y2VEHAwcAvQE\nOhWvSyltUYa6JElSlcszY+XJwA3AZGBz4GngI2Ad4MGyVidJkqpWnt0ZJwLHppT+B/gCuCil9E1g\nOLBiOYuTJEnVK0+I6AmMLVz/HFi+cP2PwKByFCVJkqpfnhDxPrBq4fpEYJvC9T5AlKMoSZJU/fKE\niL8D+xau3wBcGhEPk50/4+5yFSZJkqpbnqMzjqUQPlJKIyLiI2A74F7g6jLWJkmSqlieE3A1AA1F\nt28lOw24JElqR3JNNhURAyLi5oh4KiLWKiz7bkT0L295kiSpWuWZJ+IgsnNmfE42T0TnwqoVgbPL\nV5okSapmeXoizgGOTykdA8wqWj4GcLZKSZLaiTwhYkPgiRaWTwVWylNEYffIvRHxbkQ0RMR+LbQZ\nFhGTImJ6RDwcEevleSxJklQeeeeJaOkLvD/wRs46lgWeBX4ApNKVEXEGcBJwHPAN4DPgoYjoVNpW\nkiQtHnkO8fw9cHlEHE32hb9mRGwL/AYYlqeIlNJfgL8ARERLE1adApyfUvpzoc0RZOfuOAC4Pc9j\nSpKkhZMnRFxI1oPxCNCVbNfGTOA3KaUrylgbABHRB1i98HgApJSmRcQ4YFsMEZIkVUSeeSIS8IuI\n+DXZbo3lgBdTSp+Wu7iC1cl6PCaXLJ9cWCdJkiogT08EACmlLyLiE2DaIgwQ8xK0MH6i2MVkc3EX\nG4RnCZMkCWDUqFGMGjWq2bKpU6e2efsFDhERsTTwM+Bksl4IIuJT4LfAeSmlWfPYPI/3yQJDD5r3\nRnQH/jmvDU8HDi9zMZIkLSkGDRrEoEHNf1pPmDCBfv36tWn7PEdn/Jbs/Bk/JptsavPC9e8Bw3Pc\n3zyllN4kCxK7NC6LiBWArZlzSnJJkrSY5dmdcRhwaErpwaJlz0XERLJzaJywoHcYEcuSja9oPDJj\nnYjYDPg4pfQf4DLgnIh4DXgLOB94B7gnR/2SJKkM8oSImWRf5KXeAr7IWceWwKNkYxwS2XAGgBuB\no1NKF0VEV7KzhK4EPAnsmVLK+3iSJGkh5QkRVwDnRsSQlNJMgIjoDPyksG6BpZQeZz67VlJKQ4Gh\nee5fkiSVX54QsTnZ+IR3IuJfhWWbAZ2ARyLirsaGKaUDF75ESZJUjfKEiCnAn0qW/acMtUiSpBqS\nZ7KpIYuiEEmSVFsW+BDPiFimMMix8XaviPh/EbFbeUuTJEnVLM88EfcARwBExErA02TzOt0TEQt8\neKckSapNeULEFmSHWAIcTDYRVC+yYHFymeqSJElVLk+I6Ap8Uri+G3BXSqkB+AdZmJAkSe1AnhDx\nGnBARKwN7A78tbC8OzCtXIVJkqTqlidEDAN+QzZD5biU0lOF5bsxnxNiSZKkJUeeQzzvjIjRwBrA\nv4pWPQLcXa7CJElSdcsz2RQppffJBlQWL3u6LBVJkqSakGd3hiRJkiFCkiTlY4iQJEm5tClERMSE\niFi5cP2nxdNeS5Kk9qmtPRF9gWUL138GLLdoypEkSbWirUdnPAvcUDi0M4AfRsSnLTVMKQ0rV3GS\nJKl6tTVEHAWcB+wDJGBP4MsW2iWyyagkSdISrk0hIqX0MnAoQEQ0ALuklD5YlIVJkqTqlmfGSo/o\nkCRJ+WasjIh1gf9HNuAyAXXA5Sml18tYmyRJqmIL3KsQEbsDLwLfAJ4DXgC2Bv4dEd8sb3mSJKla\n5emJuBC4NKV0ZvHCiLgQ+BXwcDkKkyRJ1S3P+Ia+wHUtLL8e2GjhypEkSbUiT4j4EPh6C8u/DnjE\nhiRJ7USe3Rm/B66JiHWAsWQDK/sDZwAXl7E2SZJUxfKEiPOBT4DTgV8Wlk0ChgLDy1OWJEmqdnnm\niUjApcClEbF8Ydkn5S5MkiRVt1zzRDQyPEiS1H45+6QkScrFECFJknIxREiSpFwMEZIkKZdcISIi\nroiIVcpdjCRJqh1tDhER8ZWim4cByxWWPx8Ra5e7MEmSVN0W5BDPlyLiI2AM0AVYG5gI9AY6lr80\nSZJUzRZkd8aKwLeB8YXtHoiIV4DOwO4RsfoiqE+SJFWpBQkRHVNKT6eULgY+BzYHhgCzgaOB1yPi\n5UVQoyRJqkILsjtjWkT8k2x3Riega0ppTER8CXwHeAf4xiKoUZIkVaEF6YlYE/g5MJMsfDwTEU+S\nBYotyE6rMbr8JUqSpGrU5hCRUqpPKf05pXQWMB3YCvgt2anAf0PWU/H4oilTkiRVm4WZbGpqSul2\nYBawM9AH+F1ZqpIkSVUv71k8NwXeLVx/G5iVUnofuK0sVUmSpKqXK0SklP5TdH3j8pUjSZJqhefO\nkCRJuRgiJElSLoYISZKUiyFCkiTlYoiQJEm5GCIkSVIuhghJkpSLIUKSJOViiJAkSbkYIiRJUi6G\nCEmSlIshQpIk5WKIkCRJuRgiJElSLoYISZKUiyFCkiTlYoiQJEm5GCIkSVIuhghJkpSLIUKSJOVi\niJAkSbkYIiRJUi41ESIi4mcR0VByebHSdUmS1J4tXekCFsALwC5AFG5/WcFaJElq92opRHyZUvqw\n0kVIkqRMTezOKFg/It6NiNcj4uaIWLvSBUmS1J7VSoj4B3AUsDtwPNAHeCIilq1kUZIktWc1sTsj\npfRQ0c0XIuJp4G3gEOCGylQlSVL7VhMholRKaWpEvAKsN692FwO3lSwbVLhIktTejRo1ilGjRjVb\nNnXq1DZvX5MhIiKWA9YFbppXu9OBwxdLRZIk1Z5BgwYxaFDzn9YTJkygX79+bdq+JsZERMSvI2KH\niOgVEdsBd5Md4jlqPptKkqRFpFZ6Ir4CjARWBT4ERgPbpJQ+qmhVkiS1YzURIlJKDmOQJKnK1MTu\nDEmSVH0MEZIkKRdDhCRJysUQIUmScjFESJKkXAwRkiQpF0OEJEnKxRAhSZJyMURIkqRcDBGSJCkX\nQ4QkScrFECFJknIxREiSpFwMEZIkKRdDhCRJysUQIUmScjFESJKkXAwRkiQpF0OEJEnKxRAhSZJy\nMURIkqRcDBGSJCkXQ4QkScrFECFJknIxREiSpFwMEZIkKRdDhCRJysUQIUmScjFESJKkXAwRkiQp\nF0OEJEnKxRAhSZJyMURIkqRcDBGSJCkXQ4QkScrFECFJknIxREiSpFwMEZIkKRdDhCRJysUQIUmS\ncjFESJKkXAwRkiQpF0OEJEnKxRAhSZJyMURIkqRcDBGSJCkXQ4QkScrFECFJknIxREiSpFwMEZIk\nKRdDhCRJysUQIUmScjFESJKkXAwRkiQpF0OEJEnKxRAhSZJyMURIkqRcDBGSJCkXQ4QkScrFECFJ\nknIxREhSOzZixAj69OnDMssswzbbbMP//d//Vbok1RBDhCS1U7fddhunn3465513Hv/85z/ZbLPN\n2H333amvr690aaoRhghJaqcuvfRSjjvuOI444gi++tWvctVVV9G1a1euv/76SpemGmGIkKR2aNas\nWYwfP55ddtmlaVlEsOuuu/LUU09VsDLVEkOEJLVD9fX1zJ49mx49ejRb3qNHD95///0KVaVaY4iQ\nJDVJKRERlS5DNcIQIUntULdu3VhqqaWYPHlys+UffPDBXL0TUmtqKkRExA8i4s2I+Dwi/hERW1W6\nJkmqRR07dqRfv3488sgjTctSSjzyyCNst912FaxMtaRmQkREfAe4GPgZsDnwL+ChiOhW0cIkqUad\ndtppXHPNNdx000289NJLHH/88UyfPp2jjjqq0qWpRixd6QIWwKnA1SmlmwAi4nhgb+Bo4KJKFiZJ\nteiQQw6hvr6en/70p0yePJmvf/3rPPTQQ6y22mqVLk01oiZCRER0BPoBFzQuSymliPgbsG3FCpOk\nGnfiiSdy4oknVroM1aiaCBFAN2ApYHLJ8snAhi207wIwZhEXpdrR+FkYNw4mTqxoKaoS772X/fvA\nAw9QV1dX2WJUNbp169bue2KK/j90mV/bSCkt2mrKICLWAN4Ftk0pjStafhHQP6W0XUn7w4BbFm+V\nkiQtUQ4Rctj6AAAT/0lEQVRPKY2cV4Na6YmoB2YDpccddWfu3gmAh4DDgbeAGYu0MkmSlixdgN5k\n36XzVBM9EQAR8Q9gXErplMLtACYCw1NKv65ocZIktUO10hMBcAlwY0SMB54mO1qjK/CHShYlSVJ7\nVTMhIqV0e2FOiGFkuzWeBXZPKX1Y2cokSWqfamZ3hiRJqi41M2OlJEmqLoYISZKUiyFCUk2KiLMi\n4umImBYRkyPi7ojYoKRN54gYERH1EfFJRNwZEd1L2lwWEc9ExIyImDCPx/thRLxcaPefiDhrUT03\nqVYYIiTVqgHAb4GtgV2BjsBfI2KZojaXkZ1j5yBgB2BN4E8t3Nd1wK2tPVBEDCc7T89pZLPk7kd2\nlJjUrjmwUtISoXD01gfADiml0RGxAvAhcGhK6e5Cmw2BOmCblNLTJdv/DNg/pbRFyfK+ZGcN3iil\n9NpieCpSzbAnQtKSYiUgAR8XbvcjO4z9kcYGKaWXySapW5AT9+0DvA7sFxFvRMSbEfH7iFi5PGVL\ntcsQIanmFWawvQwYnVJ6sbB4deCLlNK0kuaTC+vaah2yKYAPBgYDR5IFlDsWpmZpSVAzk01J0jz8\nDtgI6N+GtkHWY9FWHYBOwHdTSq8DRMT3gPERsX5K6dUFLVZaUtgTIammRcQVwF7ATimlSUWr3gc6\nFcZGFGvtxH2teQ/4sjFAFDSeK7nngtYrLUkMEZJqViFA7A8MTClNLFk9HvgS2KWo/QZkX/xPLcDD\njAGWjog+Rcs2JOvNeDtP3dKSwqMzJNWkiPgdMIjscMtXilZNTSnNKGqzJzAE+AQYDjSklAYU3c+6\nwPLA8cCOwKGFVS+mlGYVxls8DXxKduK/pYArgCkppT0X3TOUqp8hQlJNiogGWh7bMCSldFOhTWfg\nN2RhozPwF+AHKaUPiu7nUbI5JEr1aezdiIjVyeak2A34DHgA+GFKaUr5npFUewwRkiQpF8dESJKk\nXAwRkiQpF0OEJEnKxRAhSZJyMURIkqRcDBGSligRcVZENETEJa2sf7Cwfr+iZStHxJ8j4pOIGB8R\nm5VsMyIiTl3UtUu1xhAhaYkREVsBx5Cdurul9acCs5l7fomfAMsCmwOPA9cWbbMtsBXZCb4kFTFE\nSFoiRMRywM3A94G5JoEq9C78P+BospNwFesL3JpSeg24BvhqYZulyU7udVxyUh1pLoYISUuKEcCf\nU0p/L10REcsAIymZrbLIv4CdI2IpYA/gucLyM4FHU0r/XEQ1SzXNECGp5kXEocDXgbNaaXIpMDql\ndF8r6y8k283xOtkJvY6OiPWBwcD5EXFVRLweEbdGxPJlLl+qWUtXugBJWhgR8RWy8QrfTCnNamH9\nfsDOZCGjRSmlacDhJds9AvyILEj0BjYgGyvx08Jyqd2zJ0JSresHrAaMj4hZETGL7Gycp0TEF2Sn\nAl8HmFq0HuCuiJhr1wdARBwN/Del9GdgJ+B/U0qzgTsKtyVhT4Sk2vc3YJOSZX8A6sh2U3wEXF2y\n/gXgFGCu3RsRsRpwDrBdYdFSQMfC9Y6F25IwREiqcSmlz4AXi5dFxGfARymlusKiD0rWA/wnpfR2\nC3d5GfDrlNL7hdtjgO9GxMPAsYXbknB3hqQl0/wOx2xxfUTsBqyTUrqyaPEVwJvAP8h+eJ1Xlgql\nJUB46LMkScrDnghJkpSLIUKSJOViiJAkSbkYIiRJUi6GCEmSlIshQpIk5WKIkCRJuRgiJElSLoYI\nSZKUiyFCkiTl4gm4qlxE9AS6VboOSVKb1aeUJla6iMXBEFHFIqJnhw4dXm5oaOhS6VokSW3ToUOH\nGRGxYXsIEoaI6tatoaGhy80330zfvn0rXYskaT7q6uoYPHhwF7IeZEOEKq9v375sscUWlS5DkqRm\nHFgpSZJyMURIkqRcDBGSJCkXQ4QkScrFECFJWmJ06NCBk08+udJltBsenVGjJk6cSH19faXLoFu3\nbvTs2TPXtjfeeCNDhgwBYPTo0Wy33XZztVl77bV599132Weffbj33nsXqtZqVevv5e23386hhx7K\n3Xffzf77799s3aabbsoLL7zAo48+yo477thsXc+ePenVqxdPPvnkQtXd3lXD52dh/g4Ue/HFF7ng\nggt47LHHqK+vZ9VVV2XgwIGcffbZbLTRRk3tnnrqKf76179y6qmnssIKKyz04yo/Q0QNmjhxIn03\n3JDpM2ZUuhS6dulC3csvL9QfkGWWWYaRI0fOFSIef/xx3n33Xbp0WXLn2po4cSJ9+27I9OlV8F52\n7UJd3YK/lwMGDACyIFgcIj755BNefPFFOnbsyJgxY5qFiHfeeYd33nmHwYMHl6f4dir7/PRl+vTp\nFa2ja9eu1NXVLdTfgbvuuovDDjuMVVddle9973v06dOHt956i+uuu44777yT2267renzNXbsWIYN\nG8aQIUMMERVmiKhB9fX1TJ8xg5uBSk5BVQcMnjGD+vr6hfrjsddee3HHHXcwfPhwOnSYs4dt5MiR\nbLnllhX/lbUo1dfXM336DM4+G3r1qlwdb78NF1yQ771cY4016N27N6NHj262/KmnniKlxMEHHzzX\nutGjRxMRbL/99gtde3uWfX6mU8kJ6QqTKy3U34E33niDI444gvXWW48nnniCVVZZpWndKaecQv/+\n/fnud7/Lc889R+/evUkplav8XGbOnEmnTp2IiIrWUQ0METWsL1DrU1BFBIMGDeLuu+/m4YcfZvfd\ndwdg1qxZ3HnnnZx77rlcfvnlzbZJKXH55Zdz7bXX8vrrr7PiiitywAEHcOGFF7LSSis1tevduzeb\nbropZ5xxBqeddhrPPfcca665JkOHDuW73/3uYn2e89OrF2ywQaWryK9///7cfvvtzJw5k86dOwMw\nZswYNt54Y/baay9OOumkZu1LQ8SXX37JL37xC2666Sbeffdd1lxzTQYPHsy5555Lx44dm7b7yle+\nwje+8Q1OOukkfvzjH/Piiy+ywQYbcMUVV9C/f3/uuOMOhg0bxmuvvcbGG2/Mddddx6abbtrssevq\n6jjnnHN47LHH+Pzzz9l4440ZOnQoe+21V1Oba6+9lmOPPZannnqKUaNGccstt/D555+zxx578Pvf\n/56VV155Ub2UudT6hHQXXXQRn3/+Oddcc02zAAGwyiqrcNVVV7HTTjtx0UUX0aNHD8477zwigt69\newPZ35E333yzWYi55557OOecc3j11VdZb731uPjii5v+vjSaNGkS55xzDg888ABTpkxhvfXW47TT\nTuPoo49uavP4448zcOBARo0axfPPP8+NN97Ie++9x8cff2wvCA6sVBXo3bs322yzDaNGjWpa9sAD\nDzBt2jQOPfTQudofe+yxnHHGGQwYMIDhw4dz9NFHc8stt7DHHnswe/bspnYRwauvvsq3v/1tdttt\nNy655BJWWWUVhgwZQl1d3WJ5bu1F//79mTVrFuPGjWtaNmbMGLbbbju23XZbpk6dygsvvNC0buzY\nsfTt27cp9B111FGcd955bL311lx66aUMGDCAn//853Pt7ogIXnrpJY444oim4Pjhhx+y7777csst\nt3DGGWdw5JFHct555/Hqq6/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"text/plain": [
"<matplotlib.figure.Figure at 0x109b9e400>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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REQlFIUJERERCUYgQERGRUBQiREREJBSFCBGRSurBBx+kWrVqDBo0qKDt+uuvp02bNqSk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\nM7OBBH8YPQ5M0dUa5cTd9Ui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F/S6JDiWyh0KEJI0+ffpw7bXX8v3333P22WcX+8siLy+P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\nECIiAIAQEQEAhIgIACDkCRbv+0WYSpN4AAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10797ae48>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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wJfBgof2LwGtFqkuSJJW5PCMRpwBPAOsBh6aU3iu09wfGFaswSZJU3pZrJCIiVgW+B/w6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\not+MGTOYM2cO66+//hLbIoJ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"text/plain": [
"<matplotlib.figure.Figure at 0x1074d3320>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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wA7i8fKVJkqRKWb6EdTYCXi48PgC4M6V0fUTUAo+VqzBJklQ5pbQgfASsWXg8APhL4fGn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\na1l77bXp0aNH/by61oHa2to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"text/plain": [
"<matplotlib.figure.Figure at 0x107c85668>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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Kbl7ueCRwe0rpjJTSkymlE4GJwBFzOMx5ia0TkqRC9Zikgu5d7rgxWZN+uTvycnVBSmkr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\nSUqJ3/zmN23WN3r0aCKCHXfcsZD4Bg0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"text/plain": [
"<matplotlib.figure.Figure at 0x10a5ea400>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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RAxQREakuCgoKKCgoKFW2evXqCh+fMUmEmU0EBgF93X1Fwq6VQB0z2yupN2If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\nUnI7d2b9xo1xh0KDevUoXLRol36B1K9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"text/plain": [
"<matplotlib.figure.Figure at 0x108141780>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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tBfw2eaGJiIhItkukR+MG4Ffu/gtga0z5LHQVQkRERGIkkmj0AP5RQfl6oEXN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\nETiDYP6L4eH+Q9XmavNs23b1PRLuHwz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2vJUrV6IoCsOGDauW+rVt2xatVktCQkKFYXGg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\nEEIIi/kfDxZar1J4EQ0AAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1084e95c0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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b4x2ciIiIpK4wPREAuPs2M9sArFcCISIiUvWEmSeiupndambrgG+ApWa2zsxu\nM7MacY9QREREUlKYnoj7gd8A1wIzI2W9gJsI7u55SVwiExERkZQWJokYDJzt7v+OKvvMzJYR3END\nSYSIiEgVEOYSz60EpzFifQNsK08wIiIikj7CJBEPADeaWeE9M4j8/cfIOhEREakCwpzO6A4cCyw3\ns08jZd2AmsA7ZvZiYUV3/035QxQREZFUFCaJWAu8EFP2bRxiERERkTQSZrKp4RURiIiIiKSXMPNE\n1DGzulGP25rZVWbWP76hiYiISCoLM7DyZWAogJk1AmYD1wAvm5ku7xQREakiwiQRPYBpkb/PILg1\neFuCxGJknOISERGRFBcmiagLbIj83R940d0LgI8IkgkRERGpAsIkEYuBU82sNTAAeDNSfgCwPl6B\niYiISGoLk0TcAtxFMEPlLHcvvH9Gf+A/cYpLREREUlyYSzwnmdl0oCXwadSqd4CX4hWYiIiIpLYw\nk03h7qsIBlRGl82OS0QiIiKSFsKczog7M+tjZpPN7DszKzCzk2PWPxEpj16mJCteERERSZEkAqgH\nzAMuA3wPdf4NNAdaRJbsxIQmIiIiJQl1OiPe3P114HUAM7M9VNvq7t8nLioRERHZm1L1RJjZXDPb\nP/L3n6KnvU6go81stZl9YWYPmlnjJMQgIiIiEaU9nZFJcMoBYAywX8WEs0f/JpgR8xjgWqAvMGUv\nvRYiIiJSwUp7OmMe8ETk0k4DfmdmG0uq6O63xCu4qH1OiHr4XzObD3wFHA28t6ft7gaejynLRoMp\nREREAHJycsjJySlWtm7dulJvX9okYhhwM3AiwcDH44EdJdRzgsmoKpS7f21meUAH9pJEXAOcU9HB\niIiIpKns7Gyys4v/tJ47dy5ZWVml2r5USYS7LwTOBjCzAuBYd19TtlDjx8x+BjQBViYrBhERkaou\nzIyVcb8s1MzqEfQqFI5xOMjMugE/RpYxwAsEE1x1AP4KfAm8Ee9YREREpHRCXeJpZj8HriIYcOlA\nLnCvu38VMo7DCE5LeGS5O1L+FHApcAjBwMpGwAqC5OFP7r495POJiIhIOZU5iTCzAcBkgsGWMwh6\nD44kGPB4kru/VdZ9uvtU9n6lyMCy7lNEREQqVpieiL8AY939D9GFZvYXgtMMZU4iREREJP2EGd+Q\nCTxWQvnjQJfyhSMiIiLpIkwS8T1waAnlhwJJu2JDREREEivM6YxHgIfN7CDgQ4KBkL2B69g1IFJE\nREQquTCdMR13AAAgAElEQVRJxK3ABoK5nP4cKVsB3ATcF5+wREREJNWFmSfCgbHAWDOrHynbEO/A\nREREJLWV61bgSh5ERESqrrjPPikiIiJVg5IIERERCUVJhIiIiISiJEJERERCCZVEmNkDZtY43sGI\niIhI+ih1EmFmP4t6OBjYL1I+38xaxzswERERSW1lucTzCzP7geDOnbWB1sAyoB1QI/6hiYiISCor\ny+mMhsCZwJzIdlPM7EugFjDAzFpUQHwiIiKSosqSRNRw99nufjewBegODAd2AucDX5nZwgqIUURE\nRFJQWU5nrDez/xCczqgJ1HX3GWa2A/gtsBzoWQExioiISAoqS09EK+A2YCtB8vGJmU0jSCh6ENxW\nY3r8QxQREZFUVOokwt3z3P0Vdx8NbAZ+CdxPcCvwuwh6KqZWTJgiIiKSasoz2dQ6d58AbAeOAdoD\nD8YlKhEREUl5Ye/ieQjwXeTvpcB2d18FPB+XqERERCTlhUoi3P3bqL+7xi8cERERSRe6d4aIiIiE\noiRCREREQlESISIiIqEoiRAREZFQlESIiIhIKEoiREREJBQlESIiIhKKkggREREJRUmEiIiIhKIk\nQkREREJREiEiIiKhpEQSYWZ9zGyymX1nZgVmdnIJdW4xsxVmttnM3jKzDsmIVURERAIpkUQA9YB5\nwGWAx640s+uAy4ERQE9gE/CGmdVMZJAiIiKyS9hbgceVu78OvA5gZlZClSuBW939lUidocBq4FRg\nQqLiFBERkV1SpSdij8ysPdACeKewzN3XA7OAXsmKS0REpKpL+SSCIIFwgp6HaKsj60RERCQJ0iGJ\n2BOjhPETIiIikhgpMSZiH1YRJAzNKd4bcQDwn71teDfwfExZdmQRERGp6nJycsjJySlWtm7dulJv\nn/JJhLt/bWargGOBzwDMrAFwODBub9teA5xT4RGKiIikp+zsbLKzi/+0njt3LllZWaXaPiWSCDOr\nB3Qg6HEAOMjMugE/uvu3wN+BG8xsMfANcCuwHHg5CeGKiIgIKZJEAIcB7xGMcXCCMxEATwHnu/ud\nZlYX+CfQCJgGHO/u25IRrIiIiKRIEuHuU9nHIE93vwm4KRHxiIiIyL6l89UZIiIikkRKIkRERCQU\nJREiIiISipIIERERCUVJhIiIiISiJEJERERCURIhIiIioSiJEBERkVCURIiIiEgoSiJEREQkFCUR\nIiIiEoqSCBEREQlFSYSIiIiEoiRCREREQlESISIiIqEoiRAREZFQlESIiIhIKEoiREREJBQlESIi\nIhKKkggREREJRUmEiIiIhKIkQkREREJREiEiIiKhKIkQERGRUJREiIiISChKIkRERCQUJREiIiIS\nipIIERGp8m6++WYyMjKKLV26dEl2WCmverIDEBERSQVdu3blnXfewd0BqF5dX5H7ohYSEREhSBqa\nNWuW7DDSik5niIiIAIsWLeLAAw/k5z//OUOGDOHbb79NdkgpT0mEiIhUeUcccQRPPvkkb7zxBg89\n9BBff/01Rx11FJs2bUp2aClNpzNERKTKGzBgQNHfXbt2pWfPnrRt25YJEyYwfPjwJEaW2tQTISIi\nEqNhw4Z07NiRxYsXJzuUlJYWSYSZjTGzgphlQbLjEhGRymnjxo189dVXtGzZMtmhpLS0SCIiPgea\nAy0iS+/khiMiIpXF73//ez744AOWLl3Khx9+yGmnnUb16tXJzs5OdmgpLZ2SiB3u/r27r4ksPyY7\nIJGq5s9//jMZGRmMGjUq2aGIxNXy5csZPHgwnTt35uyzz6ZZs2Z89NFHNGnSJNmhpbR0Glh5sJl9\nB+QDM4HR7q7rb0QS5OOPP+aRRx6hW7duyQ5FJO5ycnKSHUJaSpck4iNgGLAQaAncBHxgZl3dXdff\niFSwjRs3MmTIEB599FFuvfXWZIcjUi65ubnl3kfTpk1p06ZNHKJJb2mRRLj7G1EPPzez2cBS4Czg\niT1tdzfwfExZdmQRkdK77LLLOOmkkzjmmGOUREjaWglkZMCQIUPKva+6dWuTm7sw7ROJnJyc3Xph\n1q1bV+rt0yKJiOXu68zsS6DD3updA5yTmJBEKq3nnnuOefPm8cknnyQ7FJFyWQsUFMD110PbtuH3\ns3Qp3HFHPnl5eWmfRGRnZ+82eHTu3LlkZWWVavu0TCLMbD/g58DTyY5FpDJbvnw5V111FW+99RY1\natRIdjgicdG2LXTsmOwoKoe0SCLM7G/AKwSnMA4EbgZ2ABoJI1KB5syZw/fff09WVlbRnQ137tzJ\nBx98wAMPPMDWrVsxsyRHKSLJkhZJBPAz4FmgCfA9MB04wt1/SGpUIpXccccdx/z584uVDRs2jMzM\nTP7whz8ogRCp4tIiiXB3jYUUSYJ69erRpUuX3cqaNGlCZmZmkqISkVSRTpNNiUgKUO+DiBRKi54I\nEUkd7777brJDEJEUoSRCRIpoEh4RKQslESKiSXhEJBQlESKiSXhEJBQlESJSRJPwiEhZ6OoMERER\nCUVJhIiIiISiJEJERERCURIhIiIioSiJEBERkVCURIiIiEgoSiJEREQkFCURIiIiEoqSCBEREQlF\nSYSIiIiEoiRCREREQlESUQ7Tpk3j5JNP5sADDyQjI4PJkycnO6RKL55trvdPUpWOTUkXSiLKYdOm\nTRx66KGMGzcOM0t2OFVCPNtc75+kKh2bki50F89yGDhwIAMHDgTA3ZMcTdUQzzbX+yepSsempAv1\nRIiIiEgoSiJEREQkFCURIiIiEoqSCBEREQlFSYSIiIiEoqszymHTpk0sXry4aPT0kiVL+PTTT2nc\nuDGtW7dOcnSVUzzbXO+fpCodm5Iu1BNRDp988gndu3cnKysLM+Oaa66hR48ejBkzJtT+xo0bR/v2\n7alTpw5HHHEEH3/8cZwjTn/xbPN4v39SOjrO902fLemvqrS5eiLKoW/fvhQUFMRlX88//zzXXHMN\nDz/8MD179mTs2LEMGDCAL7/8kqZNm8blOSqDeLZ5PPclpaPjvHT02ZLeqlKbK4kopdzc3HLvo2nT\nprRp06bEdWPHjmXEiBEMHToUgIceeojXXnuNxx9/nGuvvbbcz52O4tHmW7dupVatWnGIZu/vn5SO\njvPd6bOl8qlKba4kYh9WAhkZMGTIkHLvq27d2uTmLtztP/v27duZM2cO119/fVGZmXHccccxc+bM\ncj9vuolnm1erlsHOnfH5RVe3bl1yc3OVSISk47w4fbZUTlWtzZVE7MNaoKAArr8e2rYNv5+lS+GO\nO/LJy8vb7T96Xl4eO3fupHnz5sXKmzdvzsKFC8M/aZqKV5vPmgWPP17AM888Q2ZmZrliys3NZciQ\nISW+f1I6Os6L02dL5VTV2lxJRCm1bQsdOyb2Od29St98p7xtvmxZ8G9mZiY9evSIT1ASdzrO9dlS\nFVTWNtfVGSmgadOmVKtWjdWrVxcrX7NmzW7ZrEi60nGeeGrzxKtqbZ5WSYSZXWZmX5vZFjP7yMx+\nmeyY4qFGjRpkZWXxzjvvFJW5O++88w5HHnlkEiMTiR8d54mnNk+8qtbmaXM6w8x+C9wNXATMBq4G\n3jCzju6el9Tg4mDUqFGcd955ZGVlFV0StHnzZoYNG5bs0ETiRsd54qnNE68qtXnaJBEEScM/3f1p\nADO7GDgBOB+4M5mBxcNZZ51FXl4ef/rTn1i9ejWHHnoob7zxBs2aNUt2aCJxo+M88dTmiVeV2jwt\nkggzqwFkAXcUlrm7m9nbQK+kBRZnl156KZdeemmywxCpUDrOE09tnnhVpc3TIokAmgLVgNUx5auB\nTiXUrw0wIw5PXLiPWbN2jfYPY+XK4N8pU6bEbXKZVMpqC1/TFKC8ry5ebT5/fvBvPNr866+/BuIz\nMVC8pGKb6zgvPbV56ajNEy/qNdXeV10rvMFLKjOzlsB3QC93nxVVfifQ292PjKk/GBif2ChFREQq\nlXPc/dm9VUiXnog8YCcQe33MAezeOwHwBnAO8A2QX6GRiYiIVC61gXYE36V7lRY9EQBm9hEwy92v\njDw2YBlwn7v/LanBiYiIVEHp0hMBcA/wlJnNYdclnnWBJ5MZlIiISFWVNkmEu08ws6bALQSnNeYB\nA9z9++RGJiIiUjWlzekMERERSS1pNe21iIiIpA4lESIiIhKKkogyMLPRZjbbzNab2Woze8nMOsbU\nqWVm48wsz8w2mNkkMzsgps7fzewTM8s3s7klPE9fM/s/M1thZhvNbG5k7osqJ4Ft3tHM3jWzVZEb\nvH1lZreaWdqMG4qXRLV5TN0Okf38WBGvKdUl8Dhva2YFMctOM+tZ0a8x1ST6ODez35nZwki9b81s\ndEW9tkRSElE2fYD7gcOB44AawJtmVieqzt8J7ulxOnAU0Ap4oYR9PQY8t4fnORL4FPgN8D/AE8DT\nZnZCHF5DuklUm28HngJ+DXQErgT+F7ip3K8g/SSqzQGIJGrPAlPLHXn6SmSbO3AM0CKytATmlDP+\ndJSwNjez+wju8zSKYJblkwmuMkx/7q4l5EIwHXcBwayZAA2ArcBpUXU6Rer0LGH7McDcUj7Xq8Cj\nyX7NyV4S3OZ3A1OT/ZqTvVR0mwN/JUjgzgN+TPbrTYWlotocaBvZ5pBkv8ZUWyqwzTOBbUCHZL/G\niljUE1E+jQiy+sIu2CyCy2aLbiTv7gsJJsUq743CGkY9T1WWkDY3sw7AQOD9sPuoRCqszc3sGIJf\neZfFJdLKo6KP88mRLvxpZnZSeYOtJCqqzU8EvgJONrMlZva1mT1iZvvHJ+zkUhIRkpkZQVfXdHdf\nECluAWxz9/Ux1VdH1oV9rrOAw4DHw+6jMkhEm5vZDDPbAiwEPnD3MeWJOd1VZJubWROCU3XnufvG\neMRbGVTwcb6RoEv9TGAQMB34PzM7sXxRp7cKbvODCKaQPgMYQtDjlgVMLE/MqaLKDRqLoweBLkDv\nUtQ1ggy3zMysH0HycKG7fxFmH5VIItr8LKA+0A34m5n93qv2tOoV2eaPAOPdvfDmilbG2CqrCmtz\nd/+B4Muy0BwzawX8nuCUaVVVkcd5BlATONfdvwIwswsI2v5gd19U1mBTiXoiQjCzBwiy+KPdfUXU\nqlVATTNrELPJnm4Utq/n6Qu8DFzp7lX6rqSJanN3/87dv3D354HRwE2RXylVTgLavB/wOzPbbmbb\ngUeBRma2zcyGlSP0tJWo4zzGLKBDOfeRthLQ5iuBHYUJREThvbbblDXeVKMkoowiB9wpQD93j70j\n/RxgB3BsVP2OBAfKzDI+z9EEvwyudffHyhNzuktUm5egGkFvXZVLIhLU5kcAhxL0+nQD/gSsj/z9\nUujg01QSj/PuBF90VU6C2nwGUN3M2keVdSLozVgaJu5UotMZZWBmDwLZBJfnbDKzwluTr3P3fHdf\nb2aPAfeY2U/ABuA+YIa7z47az88JusxbAnXMrFtk1X/dfUdUAvF34KWo59nm7j9V8MtMKQls88EE\nl3nOJxiR/UvgDuA5dy+o+FeaOhLV5pFBatHP+0ugwN1zqWISeJwPJbhS4D+R8tOBYcAFFfsKU08C\n2nyBu28H3gbmAo+b2dUEP04eAN5098UV/0orWLIvD0mnheDSnp0lLEOj6tQiuPY4j+CgmwgcELOf\n9/awnzaR9U/sYf27yW6DStzmZwGfAOsIfg3PB64Faia7DSprm5fwvFX2Es8EHudDgf9Gtv+J4Bf1\naYl6nam0JPI4JxiIOTHy+bKCyKm7ZLdBPBbdgEtERERC0ZgIERERCUVJhIiIiISiJEJERERCURIh\nIiIioSiJEBERkVCURFSAyH3qC8zsnqiye8zsBzNbGpmTILr+WWb2cuIjTV9mNibSxtHLgqj1au9y\nMrM+ZjbZzL6LtO/JJdTJNLOXzWytmW00s1lm9rOo9XofykHHeWKU5liPqvvPSJ2RUWU1zexfZrbO\nzL4ws2NjtrnWzO6tyNeQLJpsKs4iE+b8L/BpVNlJwNkE96zvRDDpyOvu/qOZNQJuI5gCWMrmc4LZ\n5ApnlNwBau84qgfMI7h3ywuxKyOT7EwjuAfGjQTX0f8CyI+s1/sQHzrOK95ej/VCZnYq0BP4LmbV\nCIKZPw8HTgCeBZpHtmkPnE9w061KR0lEHJnZfsAzwIUEH6qFOgPvu/t/gP+Y2d+B9gS3nP0r8IC7\nxx6Usm873P37EsrV3nHg7q8Dr0PRXQ5j3Qa85u6jo8q+jvpb70N86DivYKU41jGzAwlmrBwATIlZ\n3RmY7O5fmNk3BDfva+LBDc8eJLh9waaKij+ZdDojvsYBr7j7uzHlnwKHmVkjM8sCagOLzaw3QfZ6\nf4LjrCwOjnQ/fmVmz5hZ60i52ruCRT5oTwAWmdnrZrbazD4ys1Oiqul9iA8d50kWOd6fBu70kqdl\n/xTobWa1gYHACnf/wcyGAFvcfXICw00oJRFxYmZnE9xMaHTsOnd/k6CH4mOC7rKhwGaCDHUEcFnk\nPNo0M+uSuKjT2kcEc/4PAC4m+AU2zczqqb0T4gBgP+A6gl9lvya4adaLZtYHdNzHiY7z1PAHgnsX\nPbCH9Y8DnwELCL4DzjSz/YGbgJFmdpuZLTKzf5tZy4REnCjJnne7MizAzwhuG/s/UWXvAffsZZub\ngLuB/yG4g15jgg+LT5L9etJxARoCa4Hhau8Kad8C4OSoxy0jZf+KqfcyMH4v+9H7UL73Qcd5xbdx\n7LGeFWnLFlFlXwMj97GfJ4ArgJMIEow6kfdnUrJfYzwX9UTERxbQDJhjZtvNbDvQF7jSzLbFnmMz\ns84Ed4+7ETgamOruPwITgB6RsRVSBu6+DvgS6BC7Tu1dIfIIBvjFdu3mEtwqeTd6H8pPx3lS9Cb4\nfP826vO9LcHdPZeUtIGZHQNkEtyt82hgirtvIXgv+iYk6gTRwMr4eJsg84/2JMEH6l88kpZG+Scw\nyt03m1k1oEakvCbBPeaV3JVR5APy5wTnLWOpvePM3beb2ccEVwVE6wgs3cNmeh/KScd5UjwNvBVT\n9mak/InYymZWiyB5ONvdPfJeFKpJcCvwSkNJRBx4MOp2QXSZmW0CfvCYQThmdhGw2t1fixTNAMaY\n2eHAIIJ70K9PQNhpzcz+BrxC8IV1IHAzwS/jnJh6au+QzKwewS/ewp60g8ysG8Htur8F/gY8Z2bT\nCE7fHQ+cSAm/tPQ+hKPjPDFKcaz/FFN/O7DK3ReVsLsxwKvu/lnk8QzgTjN7Erg88rjySPb5lMq6\nAO8SMyaCYDDaEqB5TPkNBN3D/wWykh17OiwEH6LLgS3AMoLrsturvePaxn0Jzg/vjFkej6ozjKB7\nfRMwFzixhP3ofQj/Hug4T0w77/NYj6m/hBLGRBDMk7IQqBNVZgQ9Ez8RDJQ9KNmvN56LRV6kiIiI\nSJnoHJmIiIiEoiRCREREQlESISIiIqEoiRAREZFQlESIiIhIKEoiREREJBQlESIiIhKKkggREREJ\nRUmEiIiIhKIkQkRERELRDbhSnJm1AZomOw4RESm1PHdfluwgEkFJRAozszYZGRkLCwoKaic7FhER\nKZ2MjIx8M+tUFRIJJRGprWlBQUHtZ555hszMzGTHIiIi+5Cbm8uQIUNqE/QgK4mQ5MvMzKRHjx7J\nDkNERKQYDawUERGRUJREiIiISChKIkRERCQUJREiIiISipIIERGpNDIyMhg5cmSyw6gydHVGmlq2\nbBl5eXnJDoOmTZvSpk2bUNs+9dRTDB8+HIDp06dz5JFH7landevWfPfdd5x44olMnjy5XLGmqnR/\nLydMmMDZZ5/NSy+9xCmnnFJs3SGHHMLnn3/Oe++9R9++fYuta9OmDW3btmXatGnliruqS4Xjpzyf\nA9EWLFjAHXfcwfvvv09eXh5NmjShX79+XH/99XTp0qWo3syZM3nzzTe5+uqradCgQbmfV8JTEpGG\nli1bRmanTmzOz092KNStXZvchQvL9QFSp04dnn322d2SiKlTp/Ldd99Ru3blnWtr2bJlZGZ2YvPm\nFHgv69YmN7fs72WfPn2AIBGMTiI2bNjAggULqFGjBjNmzCiWRCxfvpzly5czZMiQ+ARfRQXHTyab\nN29Oahx169YlNze3XJ8DL774IoMHD6ZJkyZccMEFtG/fnm+++YbHHnuMSZMm8fzzzxcdXx9++CG3\n3HILw4cPVxKRZEoi0lBeXh6b8/N5BkjmFFS5wJD8fPLy8sr14TFo0CAmTpzIfffdR0bGrjNszz77\nLIcddljSf2VVpLy8PDZvzuf666Ft2+TFsXQp3HFHuPeyZcuWtGvXjunTpxcrnzlzJu7OGWecsdu6\n6dOnY2b86le/KnfsVVlw/GwmmRPSRSZXKtfnwJIlSxg6dCgdOnTggw8+oHHjxkXrrrzySnr37s25\n557LZ599Rrt27XD3eIUfytatW6lZsyZmltQ4UoGSiDSWCaT7FFRmRnZ2Ni+99BJvvfUWAwYMAGD7\n9u1MmjSJG2+8kXvvvbfYNu7Ovffey6OPPspXX31Fw4YNOfXUU/nLX/5Co0aNiuq1a9eOQw45hOuu\nu45Ro0bx2Wef0apVK2666SbOPffchL7OfWnbFjp2THYU4fXu3ZsJEyawdetWatWqBcCMGTPo2rUr\ngwYN4vLLLy9WPzaJ2LFjB7fffjtPP/003333Ha1atWLIkCHceOON1KhRo2i7n/3sZ/Ts2ZPLL7+c\na6+9lgULFtCxY0ceeOABevfuzcSJE7nllltYvHgxXbt25bHHHuOQQw4p9ty5ubnccMMNvP/++2zZ\nsoWuXbty0003MWjQoKI6jz76KBdddBEzZ84kJyeH8ePHs2XLFgYOHMgjjzzC/vvvX1FNGUq6T0h3\n5513smXLFh5++OFiCQRA48aNeeihhzj66KO58847ad68OTfffDNmRrt27YDgc+Trr78ulsS8/PLL\n3HDDDSxatIgOHTpw9913F32+FFqxYgU33HADU6ZMYe3atXTo0IFRo0Zx/vnnF9WZOnUq/fr1Iycn\nh/nz5/PUU0+xcuVKfvzxR/WCoIGVkgLatWvHEUccQU5OTlHZlClTWL9+PWefffZu9S+66CKuu+46\n+vTpw3333cf555/P+PHjGThwIDt37iyqZ2YsWrSIM888k/79+3PPPffQuHFjhg8fTm5ubkJeW1XR\nu3dvtm/fzqxZs4rKZsyYwZFHHkmvXr1Yt24dn3/+edG6Dz/8kMzMzKKkb9iwYdx8880cfvjhjB07\nlj59+nDbbbftdrrDzPjiiy8YOnRoUeL4/fffc9JJJzF+/Hiuu+46zjvvPG6++WYWLVq02/Ezf/58\nevXqxeLFixk9ejR33XUXderU4eSTT+bVV18t9jwAl156Kbm5udxyyy1ccsklvPzyyxq0VwFeffVV\n2rVrV+K4KICjjjqKdu3a8eqrr3L66aeTnZ0NwL333sszzzzDv/71L5o1a1ZUf9q0aVx22WVkZ2fz\nt7/9ja1bt3LGGWfw448/FtVZs2YNhx9+OO+++y4jR47kvvvu4+CDD+bCCy/kvvvu2y2GW2+9lX//\n+9/87ne/44477qBmzZpxboX0pJ4ISQmDBw/m+uuvL/ol++yzz9K3b19atGhRrN706dN57LHHyMnJ\n4be//W1Reb9+/RgwYAATJ04s9sXx5ZdfMm3atKIPpzPPPJPWrVvzxBNPcOeddybmxVUBvXv3xt2Z\nPn06Rx11FDt37mTWrFkMHz6cgw46iObNmzN9+nS6du3Kxo0bmT9/PhdeeCEAc+bM4dlnn+WSSy5h\n3LhxAFxyySU0adKEe++9lxkzZhQ77bFw4UJmz55NVlYWAAcffDAnnHACF198MV9++SUtW7YEoH79\n+lx++eV8+OGHRe//FVdcQYcOHZg1axbVqlUDgkThiCOO4A9/+AMnnnhisdfVokULXnvttaLH27Zt\n4x//+Af//Oc/qVu3bgW1ZtWyfv16VqxYwamnnrrXeocccgivvPIK7du3p0ePHjz33HOccsopJZ5C\n+eKLL8jNzS3qqTj66KPp1q0bzz33HJdeeikA119/Pe7OvHnzipLZiy66iMGDB3PTTTcxYsSIol41\nCE5hzJ07V8lDDPVESEo466yz2Lx5M6+++iobN27k1Vdf5Zxzztmt3sSJE2nUqBHHHnssP/zwQ9HS\nvXt39ttvP957771i9bt06VLs103Tpk3p1KkTS5YsqfDXVJV06dKFxo0bF419mDdvHps3by5q+yOP\nPJIZM2YAQS/Ezp07iwZkTpkyBTNj1KhRxfZ5zTXX4O7FvsQh+DIpTCAADj/8cAD69+9flEAUlrt7\n0Xudl5fHBx98wFlnncXatWuLjp28vDwGDBhAbm7u/7d3dyFNtQEcwP9nOF0zF9FameSrWLzkx4Vu\nEdT0QkyIMqhEokZ1M2aXgX1YCCJR3hQR1DTCEkoKyq666KIQ6hSGG2J00ReVFxP1VWdfvBfu7L3Y\ne5bHHXOdLXfU/+/ynGfnHHienf33PM95DkZHR6OfFwQBHo9Hce7y8nKEQiEMDi769yrNm69fvwKI\nhL5fkfd/+fJlzmNu3749GiAAoKSkBBaLRfG97+7uRk1NDUKhkOJeUl1djcnJSfj9fsUxjxw5wgCh\ngj0RpAtWqxVVVVXo6urC9+/fIUkSamtrY8q9f/8ewWAQNpstZp8gCBgZGVFsU/uXsnLlSkxMTCTv\n4glAJCjIj2uKogibzYb8/PzoPrmXQRRFxXyIwcFBpKWloaCgQHG8nJwcZGVl4fPnz4rtM+t0xYoV\nACLzJdS2y3X97t07AEBjYyNOnToVc/1y+5neLb5+/XpFGXkuBNtP8sjhQA4Ts4k3bACx9QYov/ej\no6MIBoO4du0a2tvbY8qq3UumhxL6iSGCdOPAgQNwu90YGhrCjh07VG8WkiRhzZo16OrqUp2hPf0H\nAEC0y3qmVM/uXoycTicePnyIV69eKYYQgEiIOHHiBAKBAERRxLp16/DX/4+j/Kou1PbNVqdz1bUk\nSZepkx8AAARxSURBVACAkydPoqqqSrWsHHriPSYlzmKxIDs7GwMDA78sNzAwgJycHCxfvnzOY8bb\nFlwuFw4fPqxaduaE3GXLls153qWIIYJ0Y8+ePfB4POjt7cXdu3dVyxQUFODx48fYunWrYrySUs/p\ndAKITGoTRRHHjh2L7rPb7cjIyEBPTw96e3sVcw/y8vIwNTWFDx8+KHojAoEAvn37Fg0biZKPnZ6e\njsrKyqQck5Jj165duH79ekz4lD19+hSfPn3C0aNHASDhRytXr16NrKwshEIhtoUEcU4E6UZmZiba\n2trQ3NyMmpoa1TJ1dXWYmppCS0tLzL5QKITJyck/fZk0i82bNyMjIwO3b99GIBBQ/Bikp6ejtLQU\nV65cwY8fP6KBA4isExIOh3Hp0iXF8S5cuABBELBz586kXN/atWvhdDrh9XpjuqoBLOr1SPTu+PHj\nMJlM8Hg8iicoAGB8fBz19fXIzMxEQ0MDgMi9AgCCwaCm8xkMBuzbtw/379/H69evY/azLcSPPREL\nWKofUkzG+Wd2C8+1fkNFRQU8Hg9aW1vR39+P6upqGI1GvH37Fvfu3cPly5exd+/eJFzZ/Jox7L8g\nz280GuFwOPDs2TOYTCbF5EcgMqQhB4PpIaKsrAwHDx7E1atXMTY2hvLycrx48QK3bt1CXV1dUhek\n8nq9qKioQHFxMdxuN/Lz8zE8PIznz59jeHgYfX190bKzDVnocSgjlY8sJ+PcGzZsQGdnJ1wuF0pK\nSqIrVn78+BEdHR0YGxvDnTt3osNNdrsd4XAYp0+fxv79+2E0GrF79+7fGnJobW1FT08PtmzZArfb\njcLCQoyPj8Pn8+HJkycMEnFiiFiArFYrzCYTXDpZ9tpqtWr+fDzdkoIgKMp5vV44HA60t7fjzJkz\nSEtLQ15eHg4dOqT4wZn5ud8973ywWq0wm004d04HdWlOrC6ByNMLoijC4XAoFokCgG3btuHixYuw\nWCwx4803b97Exo0b0dnZie7ubmRnZ6OpqQlNTU2KcrPVabzbi4qK0NfXh+bmZty4cQMTExOw2Wwo\nLS1VPZcavbQdQG4/5pQvH242mxNuO7W1tdi0aRPOnz+Pjo6O6LszKisr0djYqHh3hsPhwNmzZ9HW\n1oZHjx5BkqToYlPxtgWbzYaXL1+ipaUFDx48gNfrxapVq1BUVBTz+Lee6lxvBD2maooQBKEMgM/n\n88WsRqeHl+4AyXvxzlLGuqRE6KH9sO385Pf75V44ezgc9s9VfqFjT8QClZubyy/tIsG6pESw/VAq\ncWIlERERacIQQURERJowRBAREZEmDBFERESkCUMEERERacIQQURERJowRBAREZEmXCdiAUjlkrZE\nRBS/pXa/5oqVOiYIQq7BYHgjSZIp1ddCRETxMRgM/0qS9Hc4HB5M9bX8aQwROicIQi6AxBalJyKi\n+fTPUggQAEMEERERacSJlURERKQJQwQRERFpwhBBREREmjBEEBERkSYMEURERKQJQwQRERFpwhBB\nREREmvwHJsYS4IEhL14AAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10bf73cc0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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ysF9K6clSFCtJksokRKSUHmUBV4qklP4C/KUj6pEkSQtWCZd4SpKkMmSIkCRJuRgiJElS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\nAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10672a6d8>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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qpnLbnTECuC+l9EixCxGOPkhSJ1c2IxERcSCwCbB5sWtR5pFHzHKS1JmVRYiI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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x109bb7518>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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Q3RcBS4FeSahTREREIlIhRPwHuADoD1wKtAfeMbM9CHZt/Ozua8s8ZkVknYiIiCRJ0ndn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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x109862320>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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JknIxREiSpFwMEZIkKRdDhCRJysUQIUmScjFESJKkXAwRkiQpF0OEJEnKxRAhSZJyMURI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\nsjt7vtLQBhGxB9ATuIysr41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5DjlceOGFPPzww/Tt25djjz2WXr168cEHHzB58mQefPBB\ng8QyMkSUoY4dO9KubVuGlMi01x07dsy9/bIMS0ZEnXZXXHEF22+/PVdddRU///nPWXXVVenevTtH\nHHFEnS+c+tst736bQ8eOHWnXri3nn18Cv8t2K/a7hOzqhYkTJ7L99tvXmSQK4Otf/zqXXHIJa6+9\n9iLHm6+//no233xzbrjhBu644w66du3K2Wefzdlnn12n3eJ+p8u6/Ctf+QpPP/00w4cP57rrruPD\nDz+kU6dObLfddg3uqyGl0neguv+0K/r04e3atVvhvnPooYfSs2dPLrjgAq699tqae2fssccenHnm\nmXXunbH99ttz3nnnceWVV3LvvfdSVVVVM9nUsvaFTp068eSTT3Luuedy5513csUVV9ChQwe+8pWv\nLHL5dyn9zktNlGKqViYiegOTJ0+evMhsdKVw0x1ovBvvtGT+LrUiSqH/2He+MGXKlOpRuD4ppSlL\na1/uHIkoU926dfMf7UrC36VWhP1HxeSJlZIkKRdDhCRJysUQIUmScjFESJKkXAwRkiQpF0OEJEnK\nxRAhSZJycZ6IMlDMKW0lScuupX1eO2NlCYuIbq1atXqhqqqqbbFrkSQtm1atWs2vqqraMqU0vdi1\nNDVDRImLiG7Aik1KL0lqTpUtIUCAIUKSJOXkiZWSJCkXQ4QkScrFECFJknIxREiSpFwMEZIkKRdD\nhCRJysUQIUmScvl/0K37ab0fYDwAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1084b6e80>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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IiGScahsivvnmG6677jrefvttatWqlepyREREMk61DRFz5sxh+fLlZGdn4+4AbN26lalT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\nKCwspHnz5owbN67UGdqxvwCA4iHreKm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"text/plain": [
"<matplotlib.figure.Figure at 0x10a792080>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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333wzHTp04OGHHy4u69ixY/HtZs2aMWfOnBLr3HPPPfTq1Ys1a9ZwyCGHVFusIiIiVU09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\nWcIQQURERJYwRBAREZElDBFERERkyQ84CICxDXBMbAAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1067e4eb8>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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DIPos3ZRMCBFvAPumtP0TyAduKSNAABxIOGJjfjnbXA3QsWNHunTpUkVlikhNs/322+s9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\nAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x106660668>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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"text/plain": [
"<matplotlib.figure.Figure at 0x108bf7e80>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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S1TURqUdSZUSjGfAp8Dug3H18ZnYAMBf4N3As8D/ALUD0to73AkOAX0ba7As8k9CoRRLo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\nFEVRFCVgaKChKIqiKErA+P/yaDQBIGMwNQAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1086dea90>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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Q8XNgBnAGcEmhbSIwGBjSMmVJkqRKl2eeiARcCVwZESsV2ma0dGGSJKmy5Zon\noo7hQZKk1svZJyVJUi6GCEmSlIshQpIk5WKIkCRJueQKERHxu4hYraWLkSRJ1aPZISIivl5093Bg\nxUL7SxGxTksXJkmSKtuiXOL5akR8AowEOgLrABOAHkC7li9NkiRVskU5nNEZ+B4wtrDeQxHxOtAB\n2DMi1loC9UmSpAq1KCGiXUppTErpcuALYEtgEDAXOBp4KyJeWwI1SpKkCrQohzOmR8Q/yQ5ntAc6\npZRGRsQc4PvA+8C3l0CNkiSpAi3KSMTawC+A2WTh4/mIeJYsUGxF9rUaI1q+REmSVImaHSJSSlNS\nSn9JKZ0DzAS+BfyW7KvAf0M2UvH0kilTkiRVmsWZbGpaSulO4CtgV6An8Ps8G4qIfhFxf0R8EBG1\nEbF/I30uioiJETEzIh6LiF6LUbskSVpMeUPE5mTnQAC8B3yVUvoopXRHzu2tALwAnEw2stFARJwF\nnAIcT3bexX+BRyKifc79SZKkxZTrq8BTSv8p+nmzxS0ipfQw8DBAREQjXU4Ffp5S+kuhz0BgEnAg\ncOfi7l+SJC26iv/ujIjoCawFPF7XllKaDowGtitXXZIktXYVHyLIAkQiG3koNqmwTJIklUGuwxkV\nImjk/IlilwOlJ2n0L9wkSWrtampqqKmpadA2bdq0Zq9fDSHiI7LA0JWGoxFrAv9c0IpnAEcsubok\nSapq/fv3p3//hh+tx40bR58+fZq1fsUfzkgpvUMWJHara4uIlYFtgFHlqkuSpNauIkYiImIFoBfZ\niAPAehGxBTC1cCXIVcD5EfEm8C7wc7JLTO8rQ7mSJIkKCRHA1sCTZOc4JLLTGQBuAY5OKV0WEZ2A\n64BVgGeBvVJKX5ajWEmSVCEhIqX0NAs5tJJSGgwMXhr1SJKkhav4cyIkSVJlMkRIkqRcDBGSJCkX\nQ4QkScrFECFJknIxREiSpFwMEZIkKRdDhCRJysUQIUmScjFESJKkXAwRkiQpF0OEJEnKxRAhSZJy\nMURIkqRcDBGSJCkXQ4QkScrFECFJknIxREiSpFwMEZIkKRdDhCRJysUQIUmScjFESJKkXAwRkiQp\nF0OEJEnKxRAhSZJyMURIkqRcDBGSJCkXQ4QkScrFECFJknIxREiSpFwMEZIkKRdDhCRJysUQIUmS\ncjFESJKkXAwRkiQpF0OEJEnKxRAhSZJyMURIkqRcDBGSJCkXQ4QkScqlKkJERPwsImpLbq+Uuy5J\nklqztuWWR8SmAAAZDUlEQVQuYBG8DOwGROH+nDLWIklSq1dNIWJOSmlyuYuQJEmZqjicUbBBRHwQ\nEW9FxG0RsU65C5IkqTWrlhDxd+AoYE/gBKAn8ExErFDOoiRJas2q4nBGSumRorsvR8QY4D3gUODm\npta7HLijpK1/4SZJUmtXU1NDTU1Ng7Zp06Y1e/2qCBGlUkrTIuJ1oNeC+p0BHLF0SpIkqer079+f\n/v0bfrQeN24cffr0adb61XI4o4GIWBFYH/iw3LVIktRaVUWIiIhfR8SOEbFuRGwP3Et2iWfNQlaV\nJElLSLUczvg6MBxYHZgMjAC2TSl9UtaqJElqxaoiRKSUPBdSkqQKUxWHMyRJUuUxREiSpFwMEZIk\nKRdDhNQKXHvttWyxxRZ07tyZzp07s/322/Pwww+XuyxJVc4QIbUC66yzDr/61a8YO3YsY8eOZddd\nd+WAAw5g/Pjx5S5NUhWriqszJC2effbZp8H9X/ziFwwdOpS///3v9O7du0xVSap2hgiplamtreXO\nO+9k5syZbLfdduUuR1IVM0RIrcTLL7/Mdtttx6xZs1hppZW499572XjjjctdlqQq5jkRUiux8cYb\n869//YvRo0dz4oknMnDgQF599dVylyWpijkSIbUSbdu2Zb311gNgq622YsyYMVx99dUMHTq0zJVJ\nqlaOREitVG1tLbNnzy53GZKqmCMRUitw3nnnsddee7HOOuswY8YMhg0bxtNPP82jjz5a7tIkVTFD\nhNQKTJo0iYEDB/Lhhx/SuXNnNt98cx599FF23XXXcpcmqYoZIqRW4IYbbih3CZKWQYYItSrO0Khi\nXbp0oXv37uUuQ6pahgi1Ch8CbdrAgAEDyl2KKkinTh0ZP/41g4SUkyFCrcJnQG0tnHsurLtuuatR\nJXjvPbj44llMmTLFECHlZIhQq7LuurDhhuWuQpKWDc4TIUmScjFESJKkXAwRkiQpF0OEJEnKxRAh\nSZJyMURIkqRcDBGSJCkXQ4QkScrFECFJknIxREiSpFwMEZIkKRdDhCRJysUQIUmScjFESJKkXAwR\nkiQpF0OEJEnKxRAhSa3YNddcQ8+ePVl++eXZdttt+cc//lHuklRFDBGS1ErdcccdnHHGGVx44YX8\n85//ZIsttmDPPfdkypQp5S5NVcIQIUmt1JVXXsnxxx/PwIED2Xjjjbn22mvp1KkTN910U7lLU5Uw\nREhSK/TVV18xduxYdtttt/q2iGD33XfnueeeK2NlqiaGCElqhaZMmcLcuXPp2rVrg/auXbvy0Ucf\nlakqVRtDhCSpXkqJiCh3GaoShghJaoW6dOnCcsstx6RJkxq0f/zxx/ONTkhNqaoQEREnR8Q7EfFF\nRPw9Ir5V7pokqRq1a9eOPn368Pjjj9e3pZR4/PHH2X777ctYmapJ1YSIiPg+cDnwM2BL4F/AIxHR\npayFSVKVOv3007n++uu59dZbefXVVznhhBOYOXMmRx11VLlLU5VoW+4CFsFpwHUppVsBIuIEYB/g\naOCychYmSdXo0EMPZcqUKfz0pz9l0qRJfPOb3+SRRx5hjTXWKHdpqhJVESIioh3QB7i4ri2llCLi\nb8B2ZStMkqrcSSedxEknnVTuMlSlqiJEAF2A5YBJJe2TgI0a6d8RYOQSLkrVo+53YfRomDChrKWo\nQnz4YfbvQw89xPjx48tbjCpGly5dWv1ITNH/h44L6xsppSVbTQuIiG7AB8B2KaXRRe2XAX1TStuX\n9D8cGLZ0q5QkaZlyREpp+II6VMtIxBRgLlB63dGazD86AfAIcATwLjBriVYmSdKypSPQg+y9dIGq\nYiQCICL+DoxOKZ1auB/ABGBISunXZS1OkqRWqFpGIgCuAG6JiLHAGLKrNToBfyxnUZIktVZVEyJS\nSncW5oS4iOywxgvAnimlyeWtTJKk1qlqDmdIkqTKUjUzVkqSpMpiiJAkSbkYIiRVpYg4JyLGRMT0\niJgUEfdGxIYlfTpExDURMSUiZkTE3RGxZkmfqyLi+YiYFRHjFrC/H0fEa4V+/4mIc5bUY5OqhSFC\nUrXqB/wW2AbYHWgHPBoRyxf1uYrsO3YOBnYE1gb+3Mi2bgRub2pHETGE7Ht6TiebJXd/sqvEpFbN\nEyslLRMKV299DOyYUhoRESsDk4HDUkr3FvpsBIwHtk0pjSlZ/2fAASmlrUrae5N9a/AmKaU3l8JD\nkaqGIxGSlhWrAAmYWrjfh+wy9sfrOqSUXiObpG5RvrhvX+AtYP+IeDsi3omIP0TEqi1TtlS9DBGS\nql5hBturgBEppVcKzWsBX6aUppd0n1RY1lzrkU0BfAgwADiSLKDctTg1S8uCqplsSpIW4PfAJkDf\nZvQNshGL5moDtAd+kFJ6CyAi/hcYGxEbpJTeWNRipWWFIxGSqlpE/A7YG9g5pTSxaNFHQPvCuRHF\nmvrivqZ8CMypCxAFdd+V3H1R65WWJYYISVWrECAOAHZJKU0oWTwWmAPsVtR/Q7I3/ucWYTcjgbYR\n0bOobSOy0Yz38tQtLSu8OkNSVYqI3wP9yS63fL1o0bSU0qyiPnsBg4AZwBCgNqXUr2g76wMrAScA\nOwGHFRa9klL6qnC+xRjgc7Iv/lsO+B3wWUppryX3CKXKZ4iQVJUiopbGz20YlFK6tdCnA/AbsrDR\nAXgYODml9HHRdp4km0OiVM+60Y2IWItsToo9gP8CDwE/Til91nKPSKo+hghJkpSL50RIkqRcDBGS\nJCkXQ4QkScrFECFJknIxREiSpFwMEZKWSRGxYkRcFRHvRsTMiBgREVsXLf9xRHxUuJ1esu42EfGP\nwhwRkprgJZ6SlkkRcQfZ92mcQDZ19Q/IJovqDaxBNmvl3mQfph4EvpVS+ndEtCWbXOqYlNK4ctQu\nVQtDhKRlTkR0JJuhcr+U0sNF7c+TTRT1EnBaSmn7QvvfgV+nlP4cEecCa6SUTitD6VJV8Vs8JS2L\n2pJNTz27pP0Lsm/6HA5sGBFfL/TbAHgpInoBA8m+6lvSQnhOhKRlTkrpc7LDFRdERLeIaBMRA4Dt\ngG4ppVeB84C/kU2FfXZK6XVgKHAmsFdEvBQRYyOiXxO7kVo9D2dIWiYVvnXzJrIv1ZoDjCP7oq6t\nUkqbNdL/KGA/4ETgNbLRiO7AMKBHSumrpVO5VD0ciZC0TEopvZNS2gVYAVgnpbQt0B54p7RvRHQB\nLgB+CGwDvJZSejul9BTQDthwqRUuVRFDhKRlWkrpi5TSpIhYFdgT+H+NdLsSuDylNJHsHIl2Rcvq\nzq+QVMITKyUtkyJiDyDIDk1sAFwGjAf+WNLvO0CvlNIPCk1jgI0j4rtkhzPmFLYhqYQhQtKyqjNw\nCfA1YCpwN3B+SmluXYfCpaBDgEPr2lJKEyPih8DNwCxgYEqp9CoPSXhipSRJyslzIiRJUi6GCEmS\nlIshQpIk5WKIkCRJuRgiJElSLoYISZKUiyFCkiTlYoiQJEm5GCIkSVIuhghJkpSL351R4SKiO9Cl\n3HVIkpptSkppQrmLWBoMERUsIrq3adPmtdra2o7lrkWS1Dxt2rSZFREbtYYgYYiobF1qa2s73nbb\nbfTu3bvctUiSFmL8+PEMGDC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"text/plain": [
"<matplotlib.figure.Figure at 0x1078b3a58>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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QJEm5GCIkSVIuhghJkpSLIUKSJOViiJAkSbkYIqQWaOzYsRx44IFsuOGGtGnT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\nEbYxY8awww47FP2vrJWpurq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"text/plain": [
"<matplotlib.figure.Figure at 0x109322160>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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wXvR6MzPn3CEHPEYd66B3dDjnSoBb/EWkxoYOHcqaNWtYtGhRufW//OUv2bZt\nG/PmzaNNmza8+uqrXHnllSxcuJATTzwxpGhFRBJXtYsIM7vLOfdIBesbAFPRzQ+SwIYNG8asWbNY\nsGABRx999L7169evZ/z48axZs4bOnb2bjE4++WTefvttxo8fz5NPPlnZIUVEklaQgZV3mVm53gO/\ngJgOnBqTqERqwbBhw3jttdf4xz/+QXp6erltRUVFmBlmVm59gwYNKC0tjWeYIhKS0aNH0717d1q1\nasWRRx7JZZddxgcffLBv+4YNG0hJSaFBgwakpKSUW155JTmfxhCkiLgQeMTMrgQws0bAS8CJwDkx\njE0kZoYOHcq0adN44YUXaNGiBZs3b2bz5s0UF3uztnfu3Jnjjz+eIUOGsHz5ctavX8+jjz7K3Llz\nueyyy0KOXkTioexW8KVLlzJ37lz27NlDv3792L17NwDp6els2rSJjRs3smnTJjZt2sSvf/1rWrZs\nyYABA0KOPhxBBlYuN7MrgFfNrARvlsrjgXOcc4ecu0EkDBMnTsTMDrjT4tlnnyU7O5uGDRvy+uuv\nc++993LJJZewc+dOTjjhBJ5//nnOP//8cIIWkbiaNWtWuddTpkyhbdu25OXl0atXL8yMtm3blmuT\nm5vLwIEDad68eTxDTRhBB1bOM7Nr8Z6mmQ+c7ZwrjGlkIjFUlUsSxx9/PC+99FIcohGRuqCiW8Ej\n5eXlsWrVKiZMmBDnyBJHlYoIM/tLJZu2AFuBP5VdS3bOaY5gERGp0yq7FTzSM888Q5cuXfjhD38Y\n5+gSR1V7IiqbSPuNWAUiUtsKCgooLKxeh1laWtoBgzBFpP6r7FbwMsXFxeTk5DBq1Kg4R5ZYqlRE\nOOeur+1ARGpTQUEBGZ06UeQPpKyq5k2bkr9unQoJkSRS2a3gkV566SV2797NtddeG+foEkugMREi\ndU1hYSFFxcVMBTKquE8+MLi4mMLCQhURIkmi7Fbw+fPnH/Tf/eTJk7nkkkto06ZNHKNLPIGKCDP7\nMXAV3oOwGkduc851jUFcIrUiA9AHVEQqMnToUHJycpg5c+a+W8EBUlNTadq06b52//nPf3j77beZ\nPXt2WKEmjGrPE2FmtwLP4j2K+zRgGfAl0AHvQVoiIiJ1zsSJE9m+fTu9e/fmmGOO2be8+OKL5do9\n++yztGvXjvPOO+DpD0knyGRTQ4H/dc7dAnwD/M45dx7e0zVTYxmciIhIvJSWlrJ3794Dluzs7HLt\nHnroIT7QeYfRAAAgAElEQVT++ONwgkwwQS5npAPv+L/vxnt8N8CfgSXAsBjEJSIiEne6i6t6ghQR\nm4A2wAagADgdWA0cB9hB9hMREUlYuour+oIUEfOAi4GVeGMjxvoDLbsBlU1KJSIiktB0F1f1BSki\n/hd/LIVzbryZfQn0BGYCT8UwNhERkbjTXVxVF+QBXKVAacTr6XiPARcREZEkEuTuDMzsTDObamaL\nzey7/rprzaxXbMMTERGRRBVknogr8J6ZsRtvnogm/qZU4BexC01EREQSWZCeiF8CNzrnbgD2RKxf\nhC4jiYiIJI0gRUQn4O0K1m8DWtcsHBEREakrghQRm4ATKljfC1hfs3BERESkrghSRDwNjDOzHwIO\nOMbMrgF+DzwZy+BEREQkcQWZJ+JhvOLjLaA53qWNEuD3zrknYhibiIiIJLAg80Q44CEzewTvskZL\nYI1zbmesgxMREZHEFaQnAgDn3DdmtgPYrgJCREQk+QSZJ6KhmT1gZtuAj4ENZrbNzB40s0Yxj1BE\nREQSUpCeiD8ClwN3A4v9dT2A+/Ge7nlTTCITERGRhBakiPgJMNA593rEun+bWQHeMzRURIiIiCSB\nILd4luBdxoj2MfBNTYIRERGRuiNIEfEE8H9mVvbMDPzfR/rbREREJAkEuZxxGtAX+NTMVvvrMoHG\nwFtm9peyhs65y2seooiIiCSiIEXEVuCVqHWfxCAWERERqUOCTDZ1fW0EIiIiInVLkHkimplZ84jX\n7c1suJn1i21oIiIiksiCDKx8DcgGMLPWwDLgDuA1M9PtnSIiIkkiSBHRFVjg//5jvEeDt8crLG6N\nUVwiIiKS4IIUEc2BHf7v/YC/OOdKgSV4xYSIiIgkgSBFxH+AH5lZO+B8YI6/vi2wPVaBiYiISGIL\nUkT8Bvg93gyVS51zZc/P6Af8K0ZxiYiISIILcovny2a2EDgaWB2x6S0gN1aBiYiISGILMtkUzrlN\neAMqI9cti0lEIiIiUicEuZwhIiIioiJCREREglERISIiIoFUqYgws5Vm9h3/919FTnstIiIiyamq\nPREZQAv/91FAy9oJR0REROqKqt6dsQp41r+104A7zWxnRQ2dc7+JVXAiIiKSuKpaRFwH/Bq4CHDA\nAODbCto5vMmoREREpJ6rUhHhnFsHDAQws1Kgr3Pui9oMTERERBJbkBkrdUeHiIiIBLvF08yON7M/\nmtlcM3vTzP5gZscHPNZ9ZrbMzLab2WYzyzWzjlFtmpjZeDMrNLMdZvaymbUN8n4iIiISG9UuIszs\nfGAN0B34N/Ae8EPgfTM7L0AMZwJ/9I9xLtAImGNmzSLaPA5cCFwBnAUcA7wS4L1EREQkRoI8O+Nh\nYKxz7t7IlWb2MDAGeLM6B3POXRB1nOuAL4AsYKGZtQJ+Bgx0zs3321wP5JtZdz2zQ0REJBxBLmdk\nAM9UsH4y0KVm4QDQGu8uj6/811l4xc5bZQ38gZ4FQI8YvJ+IiIgEEKSI2AKcWsH6U/F6EAIzM8O7\ndLHQObfGX30U8I1zbntU883+NhEREQlBkMsZTwN/MrMOwDt4vQa9gHuAR2sYz5N4vRm9qtDW/Peu\n1KPAjKh1g/xFREQk2eXk5JCTk1Nu3bZt26q8f5Ai4gFgB3AHMNpf9zlwP/CHAMcDwMyeAC4AznTO\nfR6xaRPQ2MxaRfVGtMXrjajUHcA1QQMSERGp5wYNGsSgQeX/tF65ciVZWVlV2r/alzOcZ6xz7ntA\nKpDqnPuec26cc+6gPQOV8QuIS4FznHMFUZvz8GbH7BvRviOQDiwO8n4iIiJSc0F6IvZxzu2oaQBm\n9iTeFYZLgF1mdqS/aZtzrtg5t93MngEeM7Ov8XpB/gAs0p0ZIiIi4alREREjN+KNbfhn1Prrgef9\n328H9gIvA02A2cDNcYpPREREKhB6EVGVabSdcyXALf4iIiIiCUDPwRAREZFAVESIiIgE9C//Z//+\n/UlJSWHmzJnltqekpNCgQQNSUlLKLY8+WtMZERJD0AdwPWFmh8c6GBERkbpkt//znnvuwZsvsbxN\nmzaxceNGNm3axKZNm5g8eTIpKSn8+Mc/jm+gtaTKRYSZfS/i5U+Alv76d82sXawDExERSXQ9/Z/n\nnHMOFc1y0LZt23LLq6++yjnnnEP79u3jG2gtqc7AyrVm9iWwCGgKtMN7fsWxeE/eFBERkUp88cUX\nzJo1iz//+c9hhxIz1bmckQpciTf5Uwowy8w+wLvl8nwz03MsREREKjFlyhRatWrFZZddFnYoMVOd\nIqKRc26Zc+5RvMtAp+HN5bAX71HdH5nZulqIUUREpM579tlnGTx4MI0bNw47lJipzuWM7Wb2L7zL\nGY2B5s65RWb2LXA18CnQvRZiFBERqdMWLFjABx98wEsvvRR2KDFVnZ6IY4AHgRK84mOFmS3AKyi6\n4j1WY2HsQxQREanbnnnmGbKysjjppJPCDiWmqlxEOOcKnXN/dc7dBxQBPwD+iDdl9e/xeirm106Y\nIiIiiafsFs9167yr+evXr2f16tV88skn+9ps376dl19+mRtuuCGECGtXTSab2uacexHYA/QBjgOe\njElUIiIidcAa/+fgwYMxM+644w66du3KqFGj9rWZMWMGAAMHDgwhwtoVtIg4BW8MBMAGYI9zbpNz\nbkZswhIREUl8Wf7P5cuXs3fv3n3L5MmT97W54YYb2LlzJ4cddlg4QdaiQA/gcs59EvF7/brAIyIi\nUk35+fnVap+WlkZ6enotRRM/oT/FU0REpK7aCKSkeJczqqN586bk56+r84WEiggREZGAtgKlpfCL\nX0BVZ7LesAF++9tiCgsLVUSIiIgku/btoWPHsKOIPz0KXERERAJRESEiIiKBqIgQERGRQFREiIiI\nSCAqIkRERCQQFREiIiISiIoIERERCURFhIiIiASiIkJEREQCUREhIiIigaiIEBERkUBURIiIiEgg\nKiJEREQkEBURIiIiEoiKCBEREQlERYSIiIgEoiJCREREAlERISIiIoGoiBAREZFAVESIiIhIICoi\nREREJBAVESIiIhKIiggREREJREWEiIiIBKIiQkRERAJRESEiIiKBqIgQERGRQFREiIiISCAqIkRE\nRCQQFREiIiISiIoIERERCURFhIiIiASiIkJEREQCUREhIiIigaiIEBERkUASoogwszPNbKaZfWZm\npWZ2SQVtfmNmn5tZkZm9aWYnhBGriIiIeBKiiABaAKuAmwEXvdHM7gGGAUOA7sAu4A0zaxzPIEVE\nRGS/hmEHAOCcmw3MBjAzq6DJbcADzrm/+m2ygc3Aj4AX4xWniIiI7JcoPRGVMrPjgKOAt8rWOee2\nA0uBHmHFJSIikuwSvojAKyAcXs9DpM3+NhEREQlBQlzOCMioYPxEpEeBGVHrBvmLiIhIssvJySEn\nJ6fcum3btlV5/7pQRGzCKxiOpHxvRFvgXwfb8Q7gmtqLS0REpE4bNGgQgwaV/9N65cqVZGVlVWn/\nhL+c4Zz7L14h0bdsnZm1An4IvBNWXCIiIskuIXoizKwFcAJejwNABzPLBL5yzn0CPA780sz+A3wM\nPAB8CrwWQrgiIiJCghQRQDfgH3hjHBzecAaA54CfOed+Z2bNgaeA1sACYIBz7pswghUREZEEKSKc\nc/M5xKUV59z9wP3xiEdEREQOLeHHRIiIiEhiUhEhIiIigaiIEBERkUBURIiIiEggKiJEREQkEBUR\nIiIiEoiKCBEREQlERYSIiMTE559/zrXXXktaWhrNmzcnMzOTlStXhh2W1KKEmGxKRETqtq1bt3LG\nGWfQt29f3njjDdLS0vjwww/5zne+E3ZoUotURIiISI09/PDDpKenM2nSpH3r2rdvH2JEEg+6nCEi\nIjX217/+lW7dunHVVVdx5JFH0rVr13IFhdRPKiJERKTG1q9fz4QJE+jUqRNz5szhxhtv5NZbb2Xq\n1Klhhya1SJczRESkxkpLS+nevTsPPPAAAJmZmbz//vtMmDCBwYMHhxyd1Bb1RIiISI0dffTRZGRk\nlFuXkZFBQUFBSBFJPKiIEBGRGjvjjDNYt25duXXr1q3T4Mp6TkWEiIjU2O23386SJUsYPXo0H330\nES+88AKTJk1i2LBhYYcmtUhFhIiI1Fi3bt3Izc0lJyeHk08+mYceeohx48YxcODAsEOTWqSBlSIi\nEhMXXHABF1xwQdhhSBypiBARkcDy8/Or1T4tLY309PRaikbiTUWEiNTY6NGjGTlyJMOHD+exxx4L\nOxyJg41ASgrVvn2zefOm5OevUyFRT6iIEJEaWb58OU8//TSZmZlhhyJxtBUoLYVf/AKqegPGhg3w\n298WU1hYqCKinlARISKB7dy5k8GDBzNp0qR9kwxJcmnfHjp2DDsKCYvuzhCRwG6++WYuvvhi+vTp\nE3YoIhIC9USISCDTp09n1apVrFixIuxQRCQkKiJEpNo+/fRThg8fzptvvkmjRo3CDkdEQqLLGSJS\nbXl5eWzZsoWsrCwaNWpEo0aNmD9/PuPGjaNx48Y458IOMS4mTpxIZmYmqamppKam0rNnT2bPnh12\nWCJxo54IEam2c889l3fffbfcuuuuu46MjAzuvfdezCykyOKrXbt2jBkzhhNOOAGAKVOmcOmll7Jq\n1aoDHkYlUh+piBCRamvRogVdunQ5YF2bNm2S6svzwgsvLPf6wQcfZMKECSxZsiSp8iDJS0WEiMRE\nsvQ+VKa0tJQXX3yRoqIievToEXY4InGhIkJEYmLevHlhhxCK9957jx49elBcXMxhhx1Gbm4unTt3\nDjsskbhQESEiVabnJByoc+fOrF69mq1bt/LKK6+QnZ3N22+/rUJCkoKKCBE5JD0noXINGzakQ4cO\nAHTt2pVly5Yxbtw4JkyYEHJkIrVPRYRINYwePZrc3FzWrl1Ls2bN6NmzJ2PGjKFjPZ/3V89JqLrS\n0lJKSkrCDkMkLlREiFTDggULuOWWW+jWrRvffvst9913H/369SM/P59mzZqFHV6t03MSyhs5ciQD\nBgygXbt27Nixg2nTpjF//nzmzJkTdmgicaEiQqQaZs2aVe71lClTaNu2LXl5efTq1SukqCQsmzdv\nJjs7m40bN5Kamsopp5zCnDlz9CwRSRoqIkRqYOvWrZgZhx9+eNihSAgmTZoUdggiodK01yIBOecY\nPnw4vXr1OmDiJRGRZKCeCJGAhg4dypo1a1i0aFHYoUic6VZXEY+KCKmSBQsW8Mgjj5CXl8fGjRt5\n9dVXueSSS8IOKzTDhg1j1qxZLFiwgKOPPjrscCROdKurSHkqIqRKdu3axamnnsrPfvYzrrjiirDD\nCdWwYcN47bXXmD9/vr4UkoxudRUpT0WEVEn//v3p378/QNI85rkiQ4cOJScnh5kzZ9KiRQs2b94M\nQGpqKk2bNg05OokX3eoq4tHASpFqmDhxItu3b6d3794cc8wx+5YXX3wx7NBEROJOPREi1VBaWhp2\nCCIiCUNFhMghVHckPmg0vogkB13OqILx48dz3HHH0axZM04//XSWL19eK/vUR3U5D5Ej8bOysqq1\nZGR0oqCgoNzx6nIuYkl52E+58CgPnrqYB/VEHMKMGTO44447+NOf/kT37t0ZO3Ys559/Ph988AFp\naWkx26c+qut5CDISHyoejV/XcxErysN+yoVHefDU1TyoJ+IQxo4dy5AhQ8jOzqZz585MnDiR5s2b\nM3ny5Jjuk+h27drF6tWrWbVqFQDr169n9erVfPLJJ5XuU1/yUDYSv6pLRQVHfclFTSkP+ykXHuXB\nU1fzoCLiIPbs2UNeXh59+/bdt87MOPfcc1m8eHHM9qkLVqxYwWmnnUZWVhZmxh133EHXrl0ZNWpU\nhe3rax6CUC48ysN+yoVHefDU5TyoiDiIwsJC9u7dy5FHHllu/ZFHHsmmTZtitk9dcPbZZ1NaWsre\nvXvLLZVVyfU1D0EoFx7lYT/lwqM8eOpyHjQmIgDnHGZW6/uErTaeD1AX81BblAuP8rCfcuFRHjx1\nIQ8qIg4iLS2NBg0a7JuVsMwXX3xRrmLMyclh0KBB1donkQV9PkDjxo348MP/kJ6eXi/yECvKhUd5\n2E+58CgPnrqchzp1OcPMbjaz/5rZbjNbYmY/qM33a9SoEVlZWbz11lv71jnneOutt+jZs+e+dTk5\nOdXeJ5FF3pXw1FNVW37xC/jmmz0UFhYC9SMPsaJceJSH/ZQLj/Lgqct5qDM9EWZ2NfAo8L/AMuB2\n4A0z6+icK6yt9x0xYgQ//elPycrK2nfbTVFREdddd11M90lENX0+QH3JQywoFx7lYT/lwqM8eOpq\nHupMEYFXNDzlnHsewMxuBC4Efgb8rrbe9KqrrqKwsJBf/epXbN68mVNPPZU33niDI444Iqb71EfK\nw37KhUd52E+58CgPnrqahzpRRJhZIyAL+G3ZOuecM7O5QI/afv+hQ4cydOjQWt+nPlIe9lMuPMrD\nfsqFR3nw1MU81IkiAkgDGgCbo9ZvBjpV0L4pwKJqvMF//Z+zZs2q9l0Jn332GdOmTavWPmlpaXGp\nMMvOZRZQ1bMqy9vSpRA1c3OlNm70flY3f/UtD5DYuQiSB9Bnokw88wD6TJTRZ2K/eH4m8L9LD8ac\nc7UaTCyY2dHAZ0AP59zSiPW/A3o553pGtf8JUL1vdREREYl0jXPuhYM1qCs9EYXAXiD6Xpe2HNg7\nAfAGcA3wMVBcq5GJiIjUL02BY/G+Sw+qTvREAJjZEmCpc+42/7UBBcAfnHOPhBqciIhIEqorPREA\njwHPmVke+2/xbA5MCTMoERGRZFVnigjn3Itmlgb8Bu+yxirgfOfclnAjExERSU515nKGiIiIJJY6\nNe21iIiIJA4VESIiIhJI0hcRZnafmS0zs+1mttnMcs2sY1SbJmY23swKzWyHmb1sZm2j2rQzs7+b\n2S4z22RmvzOzlKg2N5vZGjMrMrN8M7s2HudYVTHMxeNmtsLMis1sZSXvdYqZve0/TG2Dmd1Vm+dW\nHfHKg3+MZ83s32a2x8z+UtvnVh1xzMPZZvaqmX1uZjvNbKU/10vCiGMuOprZPP//IbvN7CMze8DM\nEmL8Wjz/HxHR9gT/OF/VxjkFFcfPRHszK41a9ppZ99o+x6pI+iICOBP4I/BD4FygETDHzJpFtHkc\n7zkdVwBnAccAr5RtNK9YmIU3UPV04KfAdXiDQMva3AQ8BPwK6ALcD4w3swtr57QCqXEuIjwDTK/o\nTczsMLz7j/8LdAXuAu43s5/H5jRqLC55wJuFtQgYB7wZk8hjK1556AmsBi4HTgaeBZ5Pxn8bwB7g\nOeA8oCNwG3AD3v8vEkG88gCAXzy9AMyvceSxF89cOKAPcJS/HA3k1TD+2HDOaYlY8KbYLsWbCROg\nFVACXBbRppPfprv/egDeP/60iDZDgK+Bhv7rRcCYqPf6PfB22Occy1xE7T8KWFnB+pvwJhBrGLFu\nNLAm7HOOZx6i2jwL/CXscw07DxFt/wZMCvucEyQXjwLzwz7nMPIAjMErqn4KfBX2+YaRC6C9v88p\nYZ9jRYt6Ig7UGq/qK+s6y8LrYdj3oHfn3Dq8ia7KHv51OvCuK/9I8jeAVOBE/3UTDpw9sxjobmYN\nYnkCMRQkF1VxOl7x9G3EujeATmaWWqOIa0dt5aGuiWceUiPeJxHFJRdmdgLQH/hn0GPUslrLg5n1\nwfsL/uaYRFr7avszMdO/bLLAzC6uabCxoiIigpkZXvfTQufcGn/1UcA3zrntUc03+9vK2lT0cDAi\n2rwB/NzMuvrv1Q34H7wusLSYnUSM1CAXVVGVfCWEWs5DnRHPPJjZVUA3YHLQY9SmeOTCzBaZ2W5g\nHV7BPaomMdeG2syDmbXB6537qXNuZyzirU21/JnYCYwArgQuABYCr5rZRTWLOjYSYrBOAnkSb7xC\nryq0Nbyq81DK2jyAN0nWYn8MxSa82TbvxnsuSKKpjVwc6hjE4DixFu88JKq45MHMzsErHn7unFsb\n5BhxEI9cXAUcBmQCj5jZXS7xpvevzTw8DUxzzpU9JNMO1jgB1FounHNf4hUoZfLM7Bi8sWR/q06Q\ntUE9ET4zewKvyuvtnPs8YtMmoLGZtYraJfLhX5s48OFgZa83Azjnip1zP8ebqrs9kA5sAHZEXQYJ\nXQ1zURUV5atsxHJ1jlOr4pCHOiFeeTCzs4HXgNuccwn5FN545cI595lzbq1zbgZwH97A44T5Io1D\nHs4B7jTvrqU9wCSgtZl9Y2bX1SD0mAvp/xNLgRNqeIyYUBHBvg/BpcA5zrnoJ8LnAd8CfSPad8Qr\nAt7xVy0GTjZvWu4y/YBtwJqIdTjn9jrnPnfeiJmBwF9jeS41VYNcLK7G2ywGzooaC9IPWOec2xYo\n8BiLUx4SXrzyYGa98f6quts590xNYq4tIX4mGuD1GidEERGnPJwOnIrXE5OJd1fbdv/33MDBx1iI\nn4nTgI01PEZMJP3lDDN7EhgEXALsMrOyv5C3+b0H283sGeAxM/sa2AH8AVjknFvut52DVyz82czu\nwbv95gHgCefcHv99vg90x6sgD8e7xnUikB2P86yKGuZiWcRxjsfrij0aaGZmmf6mNX4+XsD7n8Jk\nMxuDd1vfrXi3s4UuDnl4v2xQqZll4A26PRxoWdbGObe61k/0EOKVh4gC4nEgN+J9vnHOfV3Lp1kl\ncczFT/Du9HoXb2T/D4DfAtOdc6W1f6YHF688+AMQI9/3B0Cpcy6/Vk+wGuL4mcgGvgH+5a+/Am8K\ngf+p3TOsorBvDwl7wbt1Zm8FS3ZEmyZ49wMX4n0QXgLaRh2nHd7/CHfidVWNAVIitncGVvrbvwb+\nAnw/7POvpVz8o5LjpEe0ORnv3u8ivNHKd4Z9/iHl4b9R20qBvWHnIJ55wBtAV9H2eWHnIIRcXAWs\nwOvF3I5XTNwNNA47B/H+txHVPuFu8YzjZyIbeN/f/2u8XozL4nWeh1r0AC4REREJRGMiREREJBAV\nESIiIhKIiggREREJREWEiIiIBKIiQkRERAJREVEFZnazmf3XzHab2RL/nuWybY+Z2ZdmtsG/xzty\nv6vM7LX4RxxbZnafmS0zs+3mPQAm1580JbJNvc8DgP85KK1g+aO/vV7mwczONLOZZvaZf76XVNDm\nN2b2uZkVmdmb5j08qmxbYzP7s5ltM7O1ZtY3at+7zWxcPM4l1syspZk9bmYf++e+0Lxn45Rtv9PM\nNvnLiKh9f2hmy80SZzbKqjrYZ8LMGprZGDP7t5nt9Ns8Z2ZHR7SpF58JM7vRzFb757HNzN4xs/4R\n2zuY2V/M7At/+3QzaxuxvW7nIex7TBN9Aa7Ge9pmNt5cD0/hPaUtDbgY+Bxv9rCBeHMeHO7v1xr4\nAPhu2OcQgxzMAq4FMvDmd/gb8DHQzN+eFHnwz6cN3rS1ZUtfvHu6zwQuqq95wHuS5G+AH/nne0nU\n9nv8fxcXAycBrwIf4c9vANwCvOf/G7oD2Byx73HAWqBF2OcZMDcz8OZzOAPogPdI5614kwedAuwC\nzsabyrkIONHfryHe3DFdwz6HWH8m8B6D/QbexEhlE+0tAZZFtKkXnwngQj8XJ/jLg3gThWXgPebg\nP8DLeM/WOBFvxs2l9SUPoQeQ6Iv/wR8X8dqAT/EmgLkLeCFi2yYgy//9KeDWsOOvpZyk4U200st/\nnZR58M/vceCDZMqD/98+uoj4HLg94nUrYDdwlf96PPBb//em/jHa+K9fjz5eXVn8c9kD9I9av8L/\ngr0SeCdi/RLgCv/3XwBjwz6H2vpMVNCmm9/ue/X5M+HH/yVwPXCe//loEbGtFV7R1ac+5EGXMw7C\nzBrhPRM+8nnwDpiL9zz4VUA3M2ttZll4H4D/mFkvvL9G/xj/qOOiNd5T6L7yX68mCfPgfz6uAcqe\n9ZCseTgO79HGkf9OtuNN8d7DX7Ua6GVmTfH+avvcOfelmQ0GdjvnZsY57FhpiPdsi5Ko9bvxnuj4\nLtDRzL5nZu3x/ip/17/Ukw38Mp7Bhqw13hfkVv91vftMmFmKmQ3E64FYjDdjpcObtrpMCf4fYf7r\nup2HsKuYRF7wuiNLgR9GrR8DLPZ/HwV8iPdBuARoBPwb70tjGF5X1AKgS9jnE6OcGN7ljPlR63+V\nTHnwz/kqvP85HJVMeSDqr068QmEvcGRUuxlAjv97Q+AJYD37i4vv4HX1fg+vC/hDvL+8jg77HKuZ\nj0XAPP//FynAYLwHL+X724f4/93zgRv8dW/6n48f4xUaecCZYZ9LrD4TFWxvgtc783zEunrzmcC7\nhLcDr9fhK/yeKbxe26+BsUAzoAXeHxN7gQn1IQ+hB5DIC5UXEb8joosyatv9wKN4Ywc24j1Y6Tpg\nRdjnE6OcTPA/7Af9MNf3PPjnOBt4LdnyEP2FQeVFxItEXN6p4DjP4l0Pvhiv0Grm5+vlsM+xmvk4\nDu/5B6V4ReUS4HngvUraXwe8gjem5mu8cRS9gc+ARmGfTyw+E1HbGgIzgeVAy0Mcp05+Jvxz7AB0\nBR4CvgA6+9vO9YuAvf7n4zm8guqJ+pCH0ANI5AXvr8g90f84gClAbgXtOwPr8LqybsF78h7+69JD\n/QNK9AWvWt5AJQ/JSZY8+OeSjvfX5kXJlocKiojj/HWnRLX7J5Vc8wf6+F+2hldkPeyv7wJsCfsc\nA+alGX4hBUwH/lpBmzS8AafH+F8QSyK2fYE/6LKuLZUVEf/f3r0HRVX+Dxx/PySIqJSAeEtcDfOL\nov1UCqMFLxWWaXZRUkJTUwmzGu2Cks4XqcyxtGAytNSkBCxMx0KbalJLFgcnHAfKVbEsvopjIqIZ\naMqe3x8HNhbw0oLuLnxeM8yw5zx7znPOefbsZ5/bqf5y3Yz+BMoOV9lGsykT6DVNqXWW+QDe1f8f\nB15sDudB+kRcgaY/tjof2+fBq+rXuQ28ZRUwV9O0CvR2Uvfq5R7o7WIue76VUu8BY4HhmqYVXyV5\ns37qtscAABCbSURBVD0PtUxDf1rrtiukaQnnAU3TjqB3Iq39OfEGQmngc6KUao0ekM7U9Ltj3XNz\n0/XO8/WgaVqlpmknlFIdgJHoI1TqegdYpmlaCbbHDf/0r2gWlFKt0J9a2Qu4V7vCY92bYZlwQ2/C\nsdI0rUzTHw8+AuiIXjtjwxXPQytHZ8AFLAfSlFL5wB5gDvovyXW1EymlZqIPzdlavcgE/FcpFQqM\nAvZremczl6OUeh+YiN6G+5dSqlP1qjOapp2vk7bZnoca1YHkFGCdpmmWy6RpVudBKdUWffhazXwG\nvZRSd6A/nvl/6KNUFiilDqMP/30NfRRTQ/Ni/BfI1jStoPq1CViqlFqH3m/EdL2O43pQSkWin5eD\n6B0nl6L3f1hXJ939QKCmaZOqF+0B/lM9p0BNzdbBG5TtRrtSmUAfrfM58H/oQ5/da903yqp/oNXm\nsmVCKfUGen+F/wHt0TtbDwUiq9dPQS8PJ4Ew9M/Kck3TihrYnOudB0dXhbjCHzAL/cZYid7jNqTO\nen/0fgJ124QXoD9H/meqh/q54h96VWVDz7uf3JLOQ63jub/6+AMvs77ZnQf0m2JD5WBtrTSJ6F8e\nFehzBNQ7P+jj5A9SPcdI9TKF/uvrNHo1bi9HH++/PDfj0TvBVaL3a0gG2tdJ44n+RdK/zvJp6FXb\nR6gzTNTZ/65UJoAeDayreR3RnMoEsLr6816JXiP3DdXDN6vXv1l9jc+jd7B94TLbccnzoKozKoQQ\nQgjxrzSLNlkhhBBC3HgSRAghhBDCLhJECCGEEMIuEkQIIYQQwi4SRAghhBDCLhJECCGEEMIuEkQI\nIYQQwi4SRAghhBDCLhJECCGEEMIuEkQIIYQQwi7yAC4np5QKQH98sBBCCNdQql39acfNggQRTkwp\nFeDm5nbQYrF4OjovQgghro2bm9t5pVSflhBISBDh3PwsFovn+vXrCQoKcnRehBBCXIXZbCYmJsYT\nvQZZggjheEFBQQwaNMjR2RBCCCFsSMdKIYQQQthFggghhBBC2EWCCCGEEELYRYIIIYQQQthFgggh\nhBDNhpubG88//7yjs9FiyOgMF1VcXExpaamjs4Gfnx8BAQF2vTctLY2pU6cCkJOTQ1hYWL003bt3\n59ixY4wePZovvviiUXl1Vq5+LT/77DMmTJjA5s2bGTt2rM26AQMG8NNPP7Fjxw6GDh1qsy4gIIAe\nPXqwa9euRuW7pXOG8tOY+0Bt+/fvZ/HixezcuZPS0lJ8fX0ZPnw4CQkJ9O3b15pu9+7dfPPNN8yZ\nMwdvb+9G71fYT4IIF1RcXExQnz5UnD/v6Kzg5emJ+eDBRt1A2rRpQ0ZGRr0g4vvvv+fYsWN4ejbf\nubaKi4sJCupDRYUTXEsvT8zmf38tw8PDAT0QrB1E/Pnnn+zfvx93d3dMJpNNEHH06FGOHj1KTExM\n02S+hdLLTxAVFRUOzYeXlxdms7lR94FNmzYRHR2Nr68vTz/9ND179uS3335jzZo1bNy4kU8//dRa\nvnJzc0lKSmLq1KkSRDiYBBEuqLS0lIrz51kPOHIKKjMQc/48paWljbp5jBo1iqysLFJSUnBz+6eF\nLSMjg5CQEIf/yrqeSktLqag4T0IC9OjhuHz8/jssXmzftezSpQsGg4GcnByb5bt370bTNMaNG1dv\nXU5ODkop7rnnnkbnvSXTy08FjpyQrnpypUbdB3799VcmT55MYGAgP/zwAz4+PtZ1L7zwAkajkUmT\nJlFQUIDBYEDTtKbKvl0uXLiAh4cHSimH5sMZSBDhwoIAV5+CSinFxIkT2bx5M99++y0jR44E4OLF\ni2zcuJGFCxeSnJxs8x5N00hOTmb16tX88ssv3HzzzTzyyCMsWbKEW265xZrOYDAwYMAA4uPjmTt3\nLgUFBXTt2pXExEQmTZp0Q4/zanr0gNtvd3Qu7Gc0Gvnss8+4cOECrVu3BsBkMhEcHMyoUaOYPXu2\nTfq6QcSlS5d44403+Pjjjzl27Bhdu3YlJiaGhQsX4u7ubn3frbfeyl133cXs2bN55ZVX2L9/P7ff\nfjvvvfceRqORrKwskpKSOHz4MMHBwaxZs4YBAwbY7NtsNrNgwQJ27txJZWUlwcHBJCYmMmrUKGua\n1atXM3PmTHbv3k1mZibp6elUVlbywAMP8OGHH9KhQ4frdSrt4uoT0i1dupTKyko++OADmwACwMfH\nh5UrVzJs2DCWLl1Kp06dWLRoEUopDAYDoN9Hjhw5YhPEbNmyhQULFlBUVERgYCDLli2z3l9qlJSU\nsGDBArZt20Z5eTmBgYHMnTuXadOmWdN8//33DB8+nMzMTAoLC0lLS+P48eOUlZVJLQjSsVI4AYPB\nwJAhQ8jMzLQu27ZtG2fPnmXChAn10s+cOZP4+HjCw8NJSUlh2rRppKen88ADD1BVVWVNp5SiqKiI\n8ePHExkZyfLly/Hx8WHq1KmYzeYbcmwthdFo5OLFi+Tl5VmXmUwmwsLCuPvuuzlz5gw//fSTdV1u\nbi5BQUHWoG/KlCksWrSI0NBQ3nnnHcLDw3n99dfrNXcopThw4ACTJ0+2Bo4nT55kzJgxpKenEx8f\nz1NPPcWiRYsoKiqqV34KCwu5++67OXz4MPPnz+ftt9+mTZs2PPzww2RnZ9vsB2DWrFmYzWaSkpKI\ni4tjy5Yt0mnvOsjOzsZgMDTYLwogIiICg8FAdnY2jz/+OBMnTgQgOTmZ9evX88knn9CxY0dr+l27\ndvHss88yceJE3nrrLS5cuMC4ceMoKyuzpvnjjz8IDQ1l+/btPP/886SkpNC7d2+mT59OSkpKvTy8\n9tprfPXVV7z00kssXrwYDw+PJj4LrklqIoRTiI6OJiEhwfpLNiMjg6FDh9K5c2ebdDk5OaxZs4bM\nzEyeeOIJ6/Lhw4czcuRIsrKybL44Dh06xK5du6w3p/Hjx9O9e3c++ugjli5demMOrgUwGo1omkZO\nTg4RERFUVVWRl5fH1KlT6dWrF506dSInJ4fg4GDOnTtHYWEh06dPByA/P5+MjAzi4uJYsWIFAHFx\ncfj6+pKcnIzJZLJp9jh48CB79uxh8ODBAPTu3ZuHHnqIZ555hkOHDtGlSxcA2rdvz+zZs8nNzbVe\n/+eee47AwEDy8vK46aabAD1QGDJkCPPmzWP06NE2x9W5c2e2bt1qff3333+TmprKqlWr8PLyuk5n\ns2U5e/YsJSUlPPLII1dMN2DAAL788kt69uzJoEGD2LBhA2PHjm2wCeXAgQOYzWZrTcWwYcO44447\n2LBhA7NmzQIgISEBTdPYt2+fNZidOXMm0dHRJCYmEhsba61VA70JY+/evRI81CE1EcIpREVFUVFR\nQXZ2NufOnSM7O5snn3yyXrqsrCxuueUW7r33Xk6dOmX9GzhwIO3atWPHjh026fv27Wvz68bPz48+\nffrw66+/Xvdjakn69u2Lj4+Pte/Dvn37qKiosJ77sLAwTCYToNdCVFVVWTtkbtu2DaUUc+fOtdnm\niy++iKZpNl/ioH+Z1AQQAKGhoQBERkZaA4ia5ZqmWa91aWkpP/zwA1FRUZSXl1vLTmlpKSNHjsRs\nNnPy5Enr+5VSxMbG2uw7PDycqqoqioub/XOVbpg///wT0IO+K6lZf/bs2atu8/7777cGEAD9+/fH\n29vb5nO/adMmxowZQ1VVlc29JDIykjNnzrB3716bbU6ZMkUCiAZITYRwCn5+ftx3331kZGTw119/\nYbFYGDduXL10hw8fpry8HH9//3rrlFL88ccfNssa+pXSoUMHTp8+3XSZF4AeKNQM1zSZTPj7+9Oz\nZ0/ruppaBpPJZNMfori4mFatWnHbbbfZbK9bt260b9+e33//3WZ53Wt68803A3p/iYaW11zroqIi\nAObPn8+8efPq5b+m/NSuFu/evbtNmpq+EFJ+mk5NcFATTFzOtQYbUP+6ge3n/uTJk5SXl/PBBx+w\natWqemkbupfUDkrEPySIEE4jOjqaGTNmcPz4cR588MEGbxYWi4VOnTqRkZHRYA/t2l8AgLXKui5H\n9+5ujoxGI1u3bqWwsNCmCQH0IOKVV16hpKQEk8lE165d6VE9HOVK16KhdZe7ple71haLBYD4+Hju\nu+++BtPWBD3Xuk3ReN7e3nTp0oWCgoIrpisoKKBbt260a9fuqtu81rIQExPDU0891WDauh1y27Rp\nc9X9tkQSRAin8eijjxIbG0teXh6ffvppg2luu+02vvvuO8LCwmzaK4XjGY1GQO/UZjKZmDNnjnXd\n4MGDad26NTt37iQvL8+m74HBYODSpUv88ssvNrURJSUlnDt3zhpsNFbNtj08PBgxYkSTbFM0jdGj\nR7N69ep6wWeNXbt28dtvvxEXFwfQ6KGVHTt2pH379lRVVUlZaCTpEyGcRtu2bVm5ciWJiYmMGTOm\nwTRRUVFcunSJpKSkeuuqqqo4c+bM9c6muIw777yT1q1bk56eTklJic2XgYeHBwMHDmTFihVUVFRY\nAw7Q5wnRNI13333XZnvLli1DKcVDDz3UJPnr3LkzRqOR1NTUelXVQLOej8TZvfzyy3h6ehIbG2sz\nggKgrKyMZ555hrZt2/LSSy8B+r0CoLy83K79ubm58fjjj/P555/z888/11svZeHaSU2EC3P0IMWm\n2H/dauGrzd8QERFBbGwsS5YsYd++fURGRuLu7s6hQ4fYuHEjKSkpPPbYY02QsxurTrO/S+7f3d2d\nkJAQcnJy8PT0tOn8CHqTRk1gUDuIGDRoEE8++STvv/8+p06dIjw8nN27d7N+/XqioqKadEKq1NRU\nIiIiCA4OZsaMGfTs2ZMTJ06Qm5vLiRMn+PHHH61pL9dk4YxNGY4cstwU+w4MDCQtLY2YmBj69+9v\nnbHyyJEjrF27llOnTrFhwwZrc9PgwYPRNI2EhAQmTJiAu7s7Dz/88L9qcliyZAk7d+4kNDSUGTNm\n0LdvX8rKysjPz2f79u0SSFwjCSJckJ+fH16ensQ4ybTXfn5+dr//WqollVI26VJTUwkJCWHVqlW8\n+uqrtGrVCoPBwOTJk22+cOq+79/u90bw8/PDy8uTxYud4Fp6Ne5agj56wWQyERISYjNJFMA999zD\n8uXL8fb2rtfevG7dOnr37k1aWhqbNm2iS5cuLFy4kIULF9qku9w1vdbl/fr148cffyQxMZGPPvqI\n06dP4+/vz8CBAxvcV0OcpexATfnxcvj04V5eXo0uO+PGjSMoKIg333yTtWvXWp+dMWLECObPn2/z\n7IyQkBBef/11Vq5cyddff43FYrFONnWtZcHf3589e/aQlJTE5s2bSU1NxdfXl379+tUb/u1M19zZ\nKGeMqoVOKTUIyM/Pz683G50zPHQHmu7BOy2ZXEvRGM5QfqTs/GPv3r01tXCDNU3be7X0rk5qIlxU\nQECAfGibCbmWojGk/AhHko6VQgghhLCLBBFCCCGEsIsEEUIIIYSwiwQRQgghhLCLBBFCCCGEsIsE\nEUIIIYSwiwQRQgghhLCLzBPhAhw5pa0QQohr19Lu1zJjpRNTSgW4ubkdtFgsno7OixBCiGvj5uZ2\n3mKx9NE0rdjRebneJIhwckqpAKBxk9ILIYS4kUpbQgABEkQIIYQQwk7SsVIIIYQQdpEgQgghhBB2\nkSBCCCGEEHaRIEIIIYQQdpEgQgghhBB2kSBCCCGEEHaRIEIIIYQQdvl/proSew+sNFYAAAAASUVO\nRK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x107248ba8>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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IpK1oboPcAFwKjAPCb118RPAsEhEREREgukRjOPBrd/87sDesfAXQJSZRiYiI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\n2Wc0b97cte2xxx4jKiqKBx54gH379hESEoIxpqq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"text/plain": [
"<matplotlib.figure.Figure at 0x107244748>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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KFAA+//xzVq9ezdixYxk0aBDPPvssZ5xxBmeeeSYvvvhizNHHJyNOZ4iIiMSpsrKSfv36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\nBLf4f6MEVI9yd15RAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x106c1b7b8>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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0ie7du3PggQfSsmVLLrvsMtatW8f333/PJZdcQmlpKcuXL0932ZKh0h4izOynBGMehrj7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\nEEEIIYQQq1CIIIQQQohV/gfy7dlqMV66hgAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x107a66940>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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DBw4suhzViJ/85CdceOGFRZch1ZT6+nqGDx8Ope/SeamFgLCgh+19Blk4OKgDi1LnMZEs\nIAwcOJBBgzw6VpllllnG94PUsvluoq+F8yBcCGwVEadExNqlTQhHAJcUXJckSd1W4QEhpfQk8F1g\nGPAs8EvgxymlmwstTJKkbqwWNjGQUroPuK/oOiRJUqbwEQRJ6gjDhg0rugSpUzMgSOqSDAhS2xgQ\nJElSjgFBkiTlGBAkSVKOAUGSJOUYECRJUo4BQZIk5RgQJElSjgFBkiTlGBAkSVKOAUGSJOUYECRJ\nUo4BQZIk5RgQJElSjgFBkiTlGBAkSVKOAUGSJOUYECRJUo4BQZIk5RgQJElSjgFBkiTlGBAkSVKO\nAUGSJOUYECRJUo4BQZIk5RgQJElSjgFBkiTlGBAkSVKOAUGSJOUYECRJUo4BQZIk5RgQJElSjgFB\nkiTlGBAkSVKOAUGSJOUYECRJUo4BQZIk5RgQJElSjgFBkiTlGBAkSVJO4QEhIn4dEXMqbs8XXZck\nSd3ZokUXUPIcsAMQpb9nFViLJEndXq0EhFkppfeLLkKSJGUK38RQsm5EvB0Rr0bEyIhYo+iCJEnq\nzmohIPwDOBTYGTgGGAA8FhFLFFmUJEndWeGbGFJK95f9+VxEPAG8CewPXNfSfOcDt1S0DSvdJEnq\n7urq6qirq2vSNn369FbPX3hAqJRSmh4RLwHrzKvfScBBC6ckSZI6nWHDhjFsWNOfzRMnTmTw4MGt\nmr8WNjE0ERFLAmsD7xRdiyRJ3VXhASEifh8R20bEmhGxDXAn2WGOdfOZVZIkdZBa2MTwFWAUsALw\nPjAG2Cql9EGhVUmS1I0VHhBSSu5XKElSjSl8E4MkSao9BgRJkpRjQJAkSTkGBEmSlGNAkCRJOQYE\nSZKUY0CQJEk5BgRJkpRjQJAkSTkGBEmSlGNAkCRJOQYESZKUY0CQJEk5BgRJkpRjQJAkSTkGBEmS\nlGNAkCRJOQYESZKUY0CQJEk5BgRJkpRjQJAkSTkGBEmSlGNAkCRJOQYESZKUY0CQJEk5BgRJkpRj\nQJAkSTkGBEmSlGNAkCRJOQYESZKUY0CQJEk5BgRJkpRjQJAkSTkGBEmSlGNAkCRJOQYESZKUY0CQ\nJEk5BgRJkpRjQJAkSTkGBEmSlFNzASEiTomIORFxQdG1SJLUXdVUQIiIrwNHAk8XXYskSd1ZzQSE\niFgSGAkcAUwruBxJkrq1mgkIwKXAX1JKDxVdiCRJ3d2iRRcAEBEHAJsCmxddiyRJqoGAEBFfAS4C\nvp1S+rK1850P3FLRNqx0kySpu6urq6Ourq5J2/Tp01s9f6SU2rumBRIRewF3ALOBKDUvAqRS22Kp\nrMiIGARMGAkctJBrVW2aCAwGJkyYwKBBg4ouR5Jq1sSJExk8eDDA4JTSxHn1LXwEAfhf4GsVbdcD\n9cA5qegEI0lSN1R4QEgpfQo8X94WEZ8CH6SU6oupSpKk7q2WjmIo56iBJEkFKnwEoTkppW8VXYMk\nSd3ZAo8gRMQhEbFb2d/nRsS0iHg8ItZs3/IkSVIRqtnEcCowEyAitgaOB34OTAUubL/SJElSUarZ\nxLAG8Erp/t7A7SmlqyJiLPBIexUmSZKKU80IwifACqX7O5EdpgjwGbB4exQlSZKKVc0Iwt+BqyPi\nX8B6wL2l9g2BN9qpLkmSVKBqRhB+BDwOrAjsm1L6oNQ+GKhrcS5JktRpLNAIQkQsCpwA/E9K6a3y\naSmlX7dnYZIkqTgLNIKQUppFdsRCTZ4/QZIktY9qNjE8CGzX3oVIkqTaUc1IwF+BcyLia8AE4NPy\niSmlu9ujMEmSVJxqAsJlpX9PbGZaIrtUsyRJ6sQWOCCklGr1Ak+SJKmdtOnLPiJ6t1chkiSpdlRz\nsaZFIuL0iHgb+CQi1iq1/yYiftjuFUqSpIWumhGEXwKHkh3u+EVZ+3PAEe1QkyRJKlg1AeFg4KiU\n0k3A7LL2p4GvtktVkiSpUNUEhNWZezXHymX1bFs5kiSpFlQTEJ4HhjbTvh/wr7aVI0mSakE150E4\nC7ghIlYnCxj7RMT6ZJsedm/P4iRJUjEWeAQhpXQXWRDYkewsimcBA4E9Ukp/b9/yJElSEaq66FJK\naQzw7cr2iIiUUmpzVZIkqVDVnAfhZy20LwKManNFkiSpcNXspPiziGhyvoNSOLgZ2LRdqpIkSYWq\nZhPDbsADETE9pXRbRPQEbiE7B8L27VqdJEkqRDUXa/pnROwL/H8R8TnZ2RPXBrZPKU1p7wIlSdLC\nV9XFmlJKDwE/AP4M9Ae2MxxIktR1tGoEISLuaGHS+8A04KqIACCltE/7lCZJkorS2k0M01tov7+9\nCpEkSbWjVQEhpXRYRxciSZJqR1X7IEiSpK6tqjMpRsR+wP5AP6BX+bSU0qB2qEuSJBWomjMpngBc\nB0wBNgOeAD4A1gL+2q7VSZKkQlSzieE44KiU0n8BXwDnppS+DYwAlmnP4iRJUjGqCQj9gMdL92cC\nS5Xu/wkY1h5FSZKkYlUTEN4FVijdnwRsVbo/AIj2KEqSJBWrmoDwELBH6f51wIUR8Xey6zHc2V6F\nSZKk4lRzFMNRlIJFSunSiPgA2Aa4G7iyHWuTJEkFqeZiTXOAOWV/30x2qWdJktRFVHWipIgYGhEj\nI2JcRKxeavtBRAxp3/IkSVIRqjkPwr5k12CYSXYehMVKk5YBTm2/0iRJUlGqGUE4DTgmpXQk8GVZ\n+1jAsyhKktQFVBMQ1gcea6Z9OrDsgi4sIo6JiKcjYnrp9nhE7FJFXZIkqZ1Uex6EdZppHwK8VsXy\n/g2cDAwu3R4C7oqIgVUsS5IktYNqAsIfgYsjYksgAatFxEHAecBlC7qwlNK9KaW/pZReKd1OAz5h\n7gmYJEnSQlbNeRDOIQsWDwJ9yDY3fA6cl1K6pC3FREQPsqtE9gHGtWVZkiSpetWcByEB/x0Rvyfb\n1LAk8HxK6ZNqi4iIjcgCQW/gY+C7KaUXql2eJElqm2pGEABIKX0RER8DH7UlHJS8AGxCtpPjvsCN\nEbHtvELC+WTndi43DK8WJUkSQF1dHXV1dU3apk+f3ur5IxsQaL2IWBT4NXAC2egBZPsM/AE4M6X0\nZUvzLsA6/g68klI6tplpg4AJI4GD2roidQkTyfZunTBhAoMGeaStJLVk4sSJDB48GGBwSmnivPpW\nM4LwB2Af4OfM3U9ga+AMsqs85r7Uq9CDuSdgkiRJC1k1AeFA4ICU0l/L2p6JiElk12RYoIAQEf8N\n/JXscMelyAYGtgN2qqI2SZLUDqoJCJ8DbzTT/gbwRRXLWxm4EViV7GRLzwA7pZQeqmJZkiSpHVQT\nEC4BTo+Iw1JKnwNExGLAL0vTFkhK6YgqapAkSR2omoCwGbAD8FZEPF1q2wToBTwYEXc0dEwp7dP2\nEiVJ0sJWTUCYBvy5ou3f7VCLJEmqEdWcKOmwjihEkiTVjgW+FkNELB4Rfcr+XjMi/l9EeNSBJEld\nRDUXa7oLOBggIpYFngBOIrsCY3ucA0GSJBWsmoAwCBhdur8f2eWf1yQLDSe0U12SJKlA1QSEPmQX\nVILsZEZ3pJTmAP8gCwqSJKmTqyYgvALsHRFrADsDD5TaVwI+aq/CJElScaoJCGcB55GdOXF8Sqnh\negw7Af9qp7okSVKBqjnM8faIGEN2auSnyyY9CNzZXoVJkqTiVHOiJFJK75LtnFje9kS7VCRJkgpX\nzSYGSZLUxRkQJElSjgFBkiTltCogRMTEiFiudP9X5adaliRJXU9rRxAGAkuU7v8aWLJjypEkSbWg\ntUcxPAVcVzq8MYCfRsQnzXVMKZ3VXsVJkqRitDYgHAqcCewOJOA7wKxm+iWyEylJkqROrFUBIaX0\nInAAQETMAXZIKb3XkYVJkqTiVHMmRY98kCSpi6vqTIoRsTbw/8h2XkxAPXBxSunVdqxNkiQVZIFH\nAyJiZ+B5YAvgGeA5YEvg/yLi2+1bniRJKkI1IwjnABemlH5R3hgR5wD/A/y9PQqTJEnFqWZ/goHA\nNc20Xwts0LZyJElSLagmILwPbNpM+6aARzZIktQFVLOJ4Y/AVRGxFvA42U6KQ4CTgfPbsTZJklSQ\nagLCb4CPgZOA35XaJgNnACPapyxJklSkas6DkIALgQsjYqlS28ftXZgkSSpOVedBaGAwkCSpa/Ks\niJIkKceAIEmScgwIkiQpx4AgSZJyqgoIEXFJRCzf3sVIkqTa0OqAEBFfKfvzQGDJUvuzEbFGexcm\nSZKKsyCHOb4QER8AY4HewBrAJKA/0LP9S5MkSUVZkE0MywDfAyaU5rsvIl4CFgN2johVOqA+SZJU\ngAUJCD1TSk+klM4HZgKbAYcBs4HDgVcj4sUOqFGSJC1kC7KJ4aOI+BfZJoZeQJ+U0tiImAV8H3gL\n2KIDapQkSQvZgowgrAb8FvicLFg8GRGjycLCILLLNIxp/xIlSdLC1uqAkFKamlL6S0rpFGAG8HXg\nD2SXez6PbITh0Y4pU5IkLUxtOVHS9JTSrcCXwLeAAcBlC7qQiDglIp6IiI8iYkpE3BkR67WhLkmS\n1EbVBoSNyfY5AHgT+DKl9G5K6ZYqljWUbCRiS2BHskMmH4iIxausTZIktVFVl3tOKf277P5GbSkg\npbRr+d8RcSjwHjAYcJ8GSZIKUIvXYliWbL+GD4suRJKk7qqmAkJEBHARMCal9HzR9UiS1F1VtYmh\nA10GbAB8Y34dzwcqd3gYVrpJktTd1dXVUVdX16Rt+vTprZ6/ZgJCRFwC7AoMTSm9M7/+JwEHdXhV\nkiR1TsOGDWPYsKY/mydOnMjgwYNbNX9NBIRSONgL2C6lNKnoeiRJ6u4KDwgRcRnZloE9gU8jYuXS\npOkppc+Kq0ySpO6rFnZSPAZYGngEmFx227/AmiRJ6tYKH0FIKdVCSJEkSWX8cpYkSTkGBEmSlGNA\nkCRJOQYESZKUY0CQJEk5BgRJkpRjQJAkSTkGBEmSlGNAkCRJOQYESZKUY0CQJEk5BgRJkpRjQJAk\nSTkGBEmSlGNAkCRJOQYESZKUY0CQJEk5BgRJkpRjQJAkSTkGBEmSlGNAkCRJOQYESZKUY0CQJEk5\nBgRJkpRjQJAkSTkGBEmSlGNAkCRJOQYESZKUY0CQJEk5BgRJkpRjQJAkSTkGBEmSlGNAkCRJOQYE\nqQsYPXo0e+65J6uvvjo9evTg7rvvLrokSZ2cAUHqAj799FM23XRTLr30UiKi6HIkdQGLFl2ApLbb\nZZdd2GWXXQBIKRVcjaSuwBEESZKUY0CQJEk5BgRJkpRjQJAkSTk1ERAiYmhE3B0Rb0fEnIjYs+ia\nJEnqzmrlKIYlgKeAa4E/F1yL1Ol8+umnvPLKK41HMLz22ms8/fTTLL/88qyxxhoFVyepM6qJgJBS\n+hvwN4DwIG5pgT355JNsv/32RAQRwUknnQTAIYccwrXXXltwdZI6o5oICJLaZrvttmPOnDlFlyGp\nCzEgqMuor68vugTVkL59+9KvX7+iy5A6rU4bEM4HbqloG1a6qXt5B+jRA4YPH150Kaohffr0pr7+\nRUOCuq26ujrq6uqatE2fPr3V83fagHAScFDRRagmTAPmzIFTT4U11yy6GtWCN9+Es8/+jKlTpxoQ\n1G0NGzaMYcOa/myeOHEigwcPbtX8nTYgSJXWXBPWW6/oKiSpa6iJgBARSwDrAA1HMKwVEZsAH6aU\n/l1cZZIkdU81ERCAzYGHgVS6nV9qvwE4vKiiJEnqrmoiIKSUHqVGzuooSZL8UpYkSc0wIEiSpBwD\ngiRJyjEgSJKkHAOCJEnKMSBIkqQcA4IkScoxIEiSpBwDgiRJyjEgSJKkHAOCJEnKMSBIkqQcA4Ik\nScoxIEiSpBwDgiRJyjEgSJKkHAOCJEnKMSBIkqQcA4IkScoxIEiSpBwDgiRJyjEgSJKkHAOCJEnK\nMSBIkqQcA4IkScoxIEiSpBwDgiRJyjEgSJKkHAOCJEnKMSBIkqQcA4IkScoxIEiSpBwDgiRJyjEg\nSJKkHAOCJHVRl156KQMGDGDxxRdnq6224p///GfRJakTMSBIUhd0yy23cNJJJ3HmmWfyr3/9i002\n2YSdd96ZqVOnFl2aOgkDgiR1QRdeeCFHH300Bx98MF/96le54oor6NOnD9dee23RpamTMCBIUhfz\n5ZdfMmF4zVP8AAAVfUlEQVTCBHbYYYfGtohgxx13ZNy4cQVWps7EgCBJXczUqVOZPXs2K6+8cpP2\nlVdemXfffbegqtTZGBAkqZtIKRERRZehTsKAIEldTN++fVlkkUWYMmVKk/b33nsvN6ogtaRmAkJE\n/CgiXo+ImRHxj4j4etE1SVJn1LNnTwYPHsyDDz7Y2JZS4sEHH2SbbbYpsDJ1JjURECLi+8D5wK+B\nzYCngfsjom+hhUlSJ3XiiSdy1VVXceONN/LCCy9wzDHHMGPGDA499NCiS1MnsWjRBZT8BLgypXQj\nQEQcA+wGHA6cW2RhktQZ7b///kydOpVf/epXTJkyhU033ZT777+fFVdcsejS1EkUHhAioicwGDi7\noS2llCLif4GtCytMkjq54447juOOO67oMtRJFR4QgL7AIsCUivYpwPrN9O8NMLaDi1Ln0fBeGD8e\nJk0qtBTViHfeyf697777qK+vL7YY1Yy+fft2+xGUsv8PvefXN1JKHVvN/AqIWBV4G9g6pTS+rP1c\nYEhKaZuK/gcCNy3cKiVJ6lIOSimNmleHWhhBmArMBiqPvVmJ/KgCwP3AQcAbwGcdWpkkSV1Lb6A/\n2XfpPBU+ggAQEf8AxqeUflz6O4BJwIiU0u8LLU6SpG6oFkYQAC4AboiICcATZEc19AGuL7IoSZK6\nq5oICCmlW0vnPDiLbFPDU8DOKaX3i61MkqTuqSY2MUiSpNpSE2dSlCRJtcWAIEmScgwIkmpORJwS\nEU9ExEcRMSUi7oyI9Sr6LBYRl0bE1Ij4OCJuj4iVKvpcFBFPRsRnETFxHuv7aUS8WOr374g4paMe\nm9RZGBAk1aKhwB+ALYEdgZ7AAxGxeFmfi8iu2bIvsC2wGvDnZpZ1DXBzSyuKiBFk1305kezsrXuS\nHU0ldWvupCip5pWOcnoP2DalNCYilgbeBw5IKd1Z6rM+UA9slVJ6omL+XwN7pZQGVbQPJLt67AYp\npVcWwkOROg1HECR1BssCCfiw9PdgssO0H2zokFJ6kewEawtykbfdgVeBPSPitYh4PSL+GBHLtU/Z\nUudlQJBU00pnVr0IGJNSer7UvArwRUrpo4ruU0rTWmststPO7gcMBw4hCx+3taVmqSuoiRMlSdI8\nXAZsAAxpRd8gG2lorR5AL+AHKaVXASLih8CEiFg3pfTyghYrdRWOIEiqWRFxCbAr8M2U0uSySe8C\nvUr7IpRr6SJvLXkHmNUQDkoarofbb0HrlboSA4KkmlQKB3sB26eUJlVMngDMAnYo678e2Zf6uAVY\nzVhg0YgYUNa2PtkoxJvV1C11FR7FIKnmRMRlwDCyQw5fKps0PaX0WVmf7wCHAR8DI4A5KaWhZctZ\nG1gKOAbYDjigNOn5lNKXpf0bngA+IbtI3CLAJcC0lNJ3Ou4RSrXPgCCp5kTEHJrfl+CwlNKNpT6L\nAeeRBYnFgL8BP0opvVe2nIfJzpFQaUDDqERErEJ2zoWdgE+B+4CfppSmtd8jkjofA4IkScpxHwRJ\nkpRjQJAkSTkGBEmSlGNAkCRJOQYESZKUY0CQVNMiYmhE3B0Rb0fEnIjYcx59ryz1OaGsrVdE/Cki\npkfECxGxQ8U8P4+IizvyMUidkddikFTrlgCeAq4F/txSp4jYG9gCeLti0tHAZsCWwG7AKGDl0jwD\ngMPJLtAkqYwBQVJNSyn9jewkSA1XdsyJiNXJzqS4M9mJjsp9Fbg7pfRCRLwB/D4iVkgpfUB2Iaif\np5Q+7aj6pc7KTQySOrVSaLgRODelVN9Ml6eBIRHRG9gFmJxS+iAihgMzU0p3L8RypU7DEQRJnd0v\ngC9SSpe0MP1aYGPgeeB94HsRsRxwBvDNiPgt8H3gFeDwlNI7HV+yVPsMCJI6rYgYDJxAto9Bs1JK\ns4DjK+a7Dri4NN+eZAHiZLJrMuzXUfVKnYmbGCR1ZkOAFYF/R8SXEfElsCZwQUS81twMEfEtYCDZ\nVRu/CdyXUpoJ3Ep2xUdJOIIgqXO7Efh7RdsDpfbrKjuXrgB5CXBASilFxCJlk3uRXe5ZEgYESTUu\nIpYA1gEajmBYKyI2AT5MKf0b+E9F/y+Bd1NKLzezuF8D96SUnin9PRY4NyKuJ9sMMbYDHoLUKRkQ\nJNW6zYGHgVS6nV9qv4HsHAaVmr2GfURsCOwLbFrWfDvZZoXHgBeBA9unZKnzi5Sa/b8kSZK6MXdS\nlCRJOQYESZKUY0CQJEk5BgRJkpRjQJAkSTkGBEmSlGNAkCRJOQYESZKUY0CQJEk5BgRJkpTjtRgK\nFBH9gL5F1yFJarWpKaVJRRexMBgQChIR/Xr06PHinDlzehddiySpdXr06PFZRKzfHUKCAaE4fefM\nmdN75MiRDBw4sOhaJEnzUV9fz/Dhw3uTjfwaENSxBg4cyKBBg4ouQ5KkJtxJUZIk5RgQJElSjgFB\nkiTlGBAkSVKOAUGS1Cn06NGDE044oegyug2PYqhRkyZNYurUqYXW0LdvX/r161fVvDfccAOHHXYY\nAGPGjGGbbbbJ9VljjTV4++232X333bn77rvbVGst68yv5a233soBBxzAnXfeyV577dVk2sYbb8xz\nzz3Hww8/zHbbbddkWr9+/VhzzTUZPXp0m+ru7mrhvQNt+yxo8Pzzz3P22WfzyCOPMHXqVFZYYQW2\n3357Tj31VDbYYIPGfuPGjeOBBx7gJz/5CUsvvXRbS1cbGBBq0KRJkxi4/vrM+OyzQuvo07s39S++\n2KYPhsUXX5xRo0blAsKjjz7K22+/Te/eXfs8UZMmTWLgwPWZMaPg17JPb+rrF/y1HDp0KJCFvPKA\n8PHHH/P888/Ts2dPxo4d2yQgvPXWW7z11lsMHz68fYrvprL3zkBmzJhRdCn06dOH+vr6qj8L7rjj\nDg488EBWWGEFfvjDHzJgwADeeOMNrrnmGm6//XZuueWWxvfX448/zllnncVhhx1mQCiYAaEGTZ06\nlRmffcZIoKhTKNUDwz/7jKlTp7YpIOy6667cdtttjBgxgh495m7RGjVqFJtvvnlN/DrqSFOnTmXG\njM849VRYc81ianjzTTj77Opey1VXXZX+/fszZsyYJu3jxo0jpcR+++2XmzZmzBgigm984xttrr07\ny947Myj6ZGqlkwNV/Vnw2muvcfDBB7POOuvw2GOPsfzyyzdO+/GPf8yQIUP4wQ9+wDPPPEP//v1J\nKbVn+Qvs888/p1evXkREoXXUAgNCDRsIdOZTKEUEw4YN48477+Tvf/87O++8MwBffvklt99+O6ef\nfjoXX3xxk3lSSlx88cVcffXVvPrqqyyzzDLsvffenHPOOSy77LKN/fr378/GG2/MySefzIknnsgz\nzzzDaqutxhlnnMEPfvCDhfo4W2PNNWG99YquojpDhgzh1ltv5fPPP2exxRYDYOzYsWy00Ubsuuuu\nHH/88U36VwaEWbNm8d///d/ceOONvP3226y22moMHz6c008/nZ49ezbO95WvfIUtttiC448/np//\n/Oc8//zzrLfeelxyySUMGTKE2267jbPOOotXXnmFjTbaiGuuuYaNN964ybrr6+s57bTTeOSRR5g5\ncyYbbbQRZ5xxBrvuumtjn6u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"text/plain": [
"<matplotlib.figure.Figure at 0x1066146d8>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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LIUKSJOVSFiEiIoZGxJ8j4p2IqIuIfZrpMyoipkbEnIj4W0T0LUWtkiQpUxYh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\n46234Jxz8n0v11lnHXr37s3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"text/plain": [
"<matplotlib.figure.Figure at 0x1072b4860>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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07dqVHXbYgX/+85+FLkklxBAhSe3U7bffzplnnslFF13Ev/71L7bZZhuGDBlC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\nzdh333058cQTeeWVV1h//fU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"text/plain": [
"<matplotlib.figure.Figure at 0x107d795f8>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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K6YmU0rnAp8AA4EBgJnAQ8EpEvDAfapQkSRVoXk5nfBQR/yU7nbEY0COlNCoi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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10a7d9668>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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Kd/+O4ITK+DbdDEtERKQGCXM4Q0REREQhQkRERMJRiBAREZFQyhQizGyeme0V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\nzp///OfFAQLg0EMPZc899yzx//7555/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"text/plain": [
"<matplotlib.figure.Figure at 0x108476320>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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SJOViiJAkSbkYIiRJUi6GCEmSlEtFhoiIOCsi6iPislLXIklSZ1VxISIiPg8c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\ngg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x108247f98>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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WTKFUUkQkx3Xs2JFBgwYBMHz4cF5++WWuv/56brrpJoAtrRC77LILBxxwANtttx0zZ87k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\nIYRF/gejUiWtSeBiygAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1073683c8>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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SLmURIiJiaETcExHvRkRdROzVTJsRETE5ImZFxN8jol8papUkSZmyCBFAN+BZ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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1080974a8>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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st956Tbe77rqr1KVJqmD2REidQENDQ6lLkNQBGSLUqdTV1ZW6BJWR3r17Oz5E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\nIldeeSUAJ554ImuvvTaXX34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"text/plain": [
"<matplotlib.figure.Figure at 0x1070caa58>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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SylieEHER2amWZwC/LbRNB84nO/1SkiS1AXmuE5GAK4ArImL1Qtuc5i5MkiSV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\nDqNEYQAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1062be2b0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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