modelling_a_pandemic.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "c87854d9-5d38-44fa-9e32-6491ba5c00e9",
   "metadata": {},
   "source": [
    "# Modeling a pandemic\n",
    "\n",
    "By Christian Graf, August 2020\n",
    "\n",
    "See https://bitbucket.org/chgraf/blog/src/master/Agent%20Based%20Pandemic/"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "9602d362-5445-4283-a046-6f521fe81912",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import matplotlib\n",
    "\n",
    "import pandas as pd\n",
    "\n",
    "from tqdm import tqdm\n",
    "\n",
    "np.random.seed = 42\n",
    "_nAgents = 1000\n",
    "_randomContacts = 9\n",
    "_chanceOfInfection = 0.025\n",
    "\n",
    "_mortalityRate = 0.05\n",
    "\n",
    "_daysBeingInfectious = 10\n",
    "_daysCuredAfter = 10"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "4bddfaaa-3ac1-4c62-a6ba-7137a51e4d6c",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Calculating analytical predictions with SIR-Model\n",
    "class MathModel:\n",
    "    S = 0\n",
    "    I = 0\n",
    "    R = 0\n",
    "    \n",
    "    S_ = []\n",
    "    I_ = []\n",
    "    R_ = []\n",
    "    \n",
    "    beta = 0\n",
    "    gamma = 0\n",
    "\n",
    "    chanceOfInfection = 0\n",
    "    randomContacts = 0\n",
    "    daysCuredAfter = 1\n",
    "    \n",
    "    def __init__(self, nAgents, nPatientZero, chanceOfInfection, randomContacts, daysCuredAfter):\n",
    "        \n",
    "        self.chanceOfInfection = chanceOfInfection\n",
    "        self.randomContacts = randomContacts\n",
    "        self.daysCuredAfter = daysCuredAfter\n",
    "        \n",
    "        self.S = nAgents - nPatientZero\n",
    "        self.I = nPatientZero\n",
    "        self.R = 0\n",
    "        \n",
    "        self.S_ = []\n",
    "        self.I_ = []\n",
    "        self.R_ = []\n",
    "        \n",
    "        self.beta = self.chanceOfInfection*self.randomContacts #contacts with 100% infection rate\n",
    "        self.gamma = 1./self.daysCuredAfter\n",
    "    \n",
    "        print(\"Math Model initialized with:\")\n",
    "        print(\"Beta:\",self.beta)\n",
    "        print(\"Gamma:\",self.gamma)\n",
    "        \n",
    "    def calculateStep(self):\n",
    "        N = self.S+self.I+self.R\n",
    "        \n",
    "        S = self.S\n",
    "        I = self.I\n",
    "\n",
    "        self.S = S - self.beta*S*I/N\n",
    "        # People who just got infected can be immediately cured. \n",
    "        # This may not be very accurate but it is easier to implement\n",
    "        # In the agent based model\n",
    "        newI = I + self.beta*S*I/N \n",
    "        self.I = I + self.beta*S*I/N - self.gamma*newI\n",
    "        self.R = self.R + self.gamma*newI\n",
    "        \n",
    "        self.S_.append(self.S)\n",
    "        self.I_.append(self.I)\n",
    "        self.R_.append(self.R)    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "d1ddb174-93b9-4c15-8673-ea20c511dc44",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Math Model initialized with:\n",
      "Beta: 0.225\n",
      "Gamma: 0.1\n",
      "Simulate SIR Model\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|████████████████████████████████████████████████████████████████████████████████████████████████| 120/120 [00:00<00:00, 698081.11it/s]\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "_nAgents = 10000\n",
    "\n",
    "_randomContacts = 9\n",
    "_chanceOfInfection = 0.025\n",
    "_daysCuredAfter = 10\n",
    "\n",
    "_nSteps = 120\n",
    "\n",
    "_nPatientZero = 100\n",
    "\n",
    "x = np.linspace(0,_nSteps-1,_nSteps)\n",
    "allStats = []\n",
    "\n",
    "SIRModel = MathModel(_nAgents, _nPatientZero, chanceOfInfection=0.025, randomContacts=9, daysCuredAfter=10)\n",
    "print(\"Simulate SIR Model\")\n",
    "for i in tqdm(range(_nSteps)):        \n",
    "    SIRModel.calculateStep()\n",
    "\n",
    "font = {'family' : 'DejaVu Sans',\n",
    "        'weight' : 'normal',\n",
    "        'size'   : 16}\n",
    "\n",
    "matplotlib.rc('font', **font)\n",
    "\n",
    "plt.plot(x,SIRModel.S_,\"--\", color = \"green\", label=\"Susceptible - SIR\")\n",
    "plt.plot(x,SIRModel.I_,\"--\", color=\"red\", label=\"Infected - SIR\")\n",
    "plt.plot(x,SIRModel.R_,\"--\", color=\"blue\", label=\"Recovered - SIR\")\n",
    "\n",
    "plt.xlabel(\"Time steps [days]\")\n",
    "plt.ylabel(\"Number of cases\")\n",
    "\n",
    "lgd = plt.legend(bbox_to_anchor=(1.01,0.8), loc=\"center left\")\n",
    "plt.tight_layout()\n",
    "\n",
    "plt.savefig(\"SIR_baseline.png\", bbox_extra_artists=(lgd,), bbox_inches='tight')\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "e1140667-5564-4347-abeb-859e847bbe6d",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>state</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>count</th>\n",
       "      <td>10000.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>mean</th>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>std</th>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>min</th>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25%</th>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>50%</th>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>75%</th>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>max</th>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "         state\n",
       "count  10000.0\n",
       "mean       0.0\n",
       "std        0.0\n",
       "min        0.0\n",
       "25%        0.0\n",
       "50%        0.0\n",
       "75%        0.0\n",
       "max        0.0"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "def infect(df, contacts, probability=1.0):\n",
    "    unique, counts = np.unique(contacts, return_counts=True)\n",
    "    \n",
    "    roll = np.random.uniform(0,1,len(unique))\n",
    "\n",
    "    state = df.loc[unique,\"state\"]\n",
    "    probability = 1 - np.power(1-probability, counts)\n",
    "    change = np.array(roll <= probability).astype(int)\n",
    "    \n",
    "    df.loc[unique,\"state\"] = state + np.maximum(change*(1-state),0)\n",
    "\n",
    "def init(nAgents=1000, nPatientZero=1):\n",
    "    state = np.zeros(nAgents)\n",
    "\n",
    "    neighborhood = np.zeros(nAgents)\n",
    "    data = {\"state\": state, \"neighborhood\": neighborhood}\n",
    "\n",
    "    df = pd.DataFrame(data)\n",
    "    patientZero = np.random.choice(df.index, nPatientZero, replace=False)\n",
    "    infect(df, patientZero, probability=1.0)\n",
    "    return df\n",
    "\n",
    "def recover(df, probability=1.0):    \n",
    "    roll = np.random.uniform(0,1,len(df[df[\"state\"] == 1]))\n",
    "    chance = np.array(roll <= probability).astype(int)\n",
    "    \n",
    "    df.loc[df[\"state\"] == 1,\"state\"] = 1 + chance\n",
    "\n",
    "def step(df):\n",
    "    nInfected = np.sum(df[\"state\"] == 1)\n",
    "    contacts = np.random.choice(df.index, _randomContacts * nInfected, replace=True)\n",
    "\n",
    "    infect(df, contacts, _chanceOfInfection)\n",
    "    recover(df, _chanceOfRecovery)\n",
    "\n",
    "\n",
    "def simulate(df, stats, nSteps=100, mode=\"random\", nRandomContacts=0, plotLattice=False):\n",
    "    for i in tqdm(range(nSteps)):        \n",
    "        step(df)\n",
    "            \n",
    "        stats[\"nSusceptible\"].append(np.sum(df[\"state\"] == 0))    \n",
    "        stats[\"nInfected\"].append(np.sum(df[\"state\"] == 1))\n",
    "        stats[\"nRemoved\"].append(np.sum(df[\"state\"] == 2))\n",
    "\n",
    "_randomContacts = 9\n",
    "_chanceOfInfection = 0.025\n",
    "_daysCuredAfter = 10\n",
    "_chanceOfRecovery = 1./_daysCuredAfter\n",
    "\n",
    "_nExperiments = 10\n",
    "_nAgents = 10000\n",
    "_nSteps = 150\n",
    "\n",
    "_nPatientZero = 5\n",
    "\n",
    "state = np.zeros(_nAgents)\n",
    "data = {\"state\": state}\n",
    "df = pd.DataFrame(data)\n",
    "df.describe()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "b59e1bb5-ce03-4d55-bbc1-0f5a692aabfa",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Math Model initialized with:\n",
      "Beta: 0.225\n",
      "Gamma: 0.1\n",
      "Simulate SIR Model\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|████████████████████████████████████████████████████████████████████████████████████████████████| 150/150 [00:00<00:00, 821338.90it/s]\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Starting Experiment: 1 / 10\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|███████████████████████████████████████████████████████████████████████████████████████████████████| 150/150 [00:00<00:00, 634.20it/s]\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Starting Experiment: 2 / 10\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|███████████████████████████████████████████████████████████████████████████████████████████████████| 150/150 [00:00<00:00, 661.36it/s]\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Starting Experiment: 3 / 10\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|███████████████████████████████████████████████████████████████████████████████████████████████████| 150/150 [00:00<00:00, 671.24it/s]\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Starting Experiment: 4 / 10\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|███████████████████████████████████████████████████████████████████████████████████████████████████| 150/150 [00:00<00:00, 671.78it/s]\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Starting Experiment: 5 / 10\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|███████████████████████████████████████████████████████████████████████████████████████████████████| 150/150 [00:00<00:00, 691.06it/s]\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Starting Experiment: 6 / 10\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|███████████████████████████████████████████████████████████████████████████████████████████████████| 150/150 [00:00<00:00, 695.67it/s]\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Starting Experiment: 7 / 10\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|███████████████████████████████████████████████████████████████████████████████████████████████████| 150/150 [00:00<00:00, 696.07it/s]\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Starting Experiment: 8 / 10\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|███████████████████████████████████████████████████████████████████████████████████████████████████| 150/150 [00:00<00:00, 705.88it/s]\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Starting Experiment: 9 / 10\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|███████████████████████████████████████████████████████████████████████████████████████████████████| 150/150 [00:00<00:00, 642.20it/s]\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Starting Experiment: 10 / 10\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|███████████████████████████████████████████████████████████████████████████████████████████████████| 150/150 [00:00<00:00, 644.43it/s]\n"
     ]
    }
   ],
   "source": [
    "x = np.linspace(0,_nSteps-1,_nSteps)\n",
    "allStats = []\n",
    "\n",
    "SIRModel = MathModel(_nAgents, _nPatientZero, chanceOfInfection=0.025, randomContacts=9, daysCuredAfter=10)\n",
    "print(\"Simulate SIR Model\")\n",
    "for i in tqdm(range(_nSteps)):        \n",
    "    SIRModel.calculateStep()\n",
    "\n",
    "for iExp in range(_nExperiments):\n",
    "    print(\"Starting Experiment:\",iExp+1,\"/\",_nExperiments)\n",
    "    st = {\"nInfected\": [], \"nRemoved\": [], \"nSusceptible\": []}\n",
    "\n",
    "    df = init(_nAgents, _nPatientZero)\n",
    "\n",
    "    simulate(df, stats=st, nSteps=_nSteps)\n",
    "    \n",
    "    allStats.append(st)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "85f1a1fc-d1f3-47c1-9864-3644e83ca6a0",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def calculateStats(allStats):\n",
    "    medianStats = dict()\n",
    "    lowerStats = dict()\n",
    "    higherStats = dict()\n",
    "\n",
    "    for key in allStats[0]:\n",
    "        l = []\n",
    "        for st in allStats:\n",
    "            l.append(st[key])\n",
    "        a = np.stack(l)\n",
    "        medianStats[key] = np.median(a, axis=0)\n",
    "        lowerStats[key] = np.quantile(a, 0.25, axis=0)\n",
    "        higherStats[key] = np.quantile(a, 0.75, axis=0)\n",
    "    \n",
    "    return medianStats, lowerStats, higherStats\n",
    "\n",
    "def plotSIR(x,mdianStats,lowerStats,higherStats,SIRModel,figName=\"tmp.png\"):\n",
    "    plt.plot(x,medianStats[\"nSusceptible\"], color = \"green\", label=\"Susceptible\")\n",
    "    plt.plot(x,medianStats[\"nInfected\"], color=\"red\", label=\"Infected\")\n",
    "    plt.plot(x,medianStats[\"nRemoved\"], color=\"blue\", label=\"Recovered\")\n",
    "    #plt.plot(x,nDead, color=\"black\")\n",
    "    plt.fill_between(x, lowerStats[\"nSusceptible\"], higherStats[\"nSusceptible\"],\n",
    "                     color='green', alpha=0.1)\n",
    "    plt.fill_between(x, lowerStats[\"nInfected\"], higherStats[\"nInfected\"],\n",
    "                     color='red', alpha=0.1)\n",
    "    plt.fill_between(x, lowerStats[\"nRemoved\"], higherStats[\"nRemoved\"],\n",
    "                     color='blue', alpha=0.1)\n",
    "\n",
    "    plt.plot(x,SIRModel.S_,\"--\", color = \"green\", label=\"Susceptible - SIR\")\n",
    "    plt.plot(x,SIRModel.I_,\"--\", color=\"red\", label=\"Infected - SIR\")\n",
    "    plt.plot(x,SIRModel.R_,\"--\", color=\"blue\", label=\"Recovered - SIR\")\n",
    "\n",
    "    plt.xlabel(\"Time steps [days]\")\n",
    "    plt.ylabel(\"Number of cases\")\n",
    "\n",
    "    lgd = plt.legend(bbox_to_anchor=(1.01,0.65), loc=\"center left\")\n",
    "    plt.tight_layout()\n",
    "    \n",
    "    plt.savefig(figName, bbox_extra_artists=(lgd,), bbox_inches='tight')\n",
    "   \n",
    "    plt.show()\n",
    "\n",
    "medianStats, lowerStats, higherStats = calculateStats(allStats)\n",
    "plotSIR(x,medianStats,lowerStats,higherStats,SIRModel,figName=\"CompareToSIR.png\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "43d7b75f-f6f1-4385-a0cb-c3f605b1cb40",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Math Model initialized with:\n",
      "Beta: 0.54\n",
      "Gamma: 0.1\n",
      "Simulate SIR Model\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|████████████████████████████████████████████████████████████████████████████████████████████████| 400/400 [00:00<00:00, 701975.56it/s]\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Starting Experiment: 1 / 10\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|███████████████████████████████████████████████████████████████████████████████████████████████████| 400/400 [00:00<00:00, 706.32it/s]\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Starting Experiment: 2 / 10\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|███████████████████████████████████████████████████████████████████████████████████████████████████| 400/400 [00:00<00:00, 724.33it/s]\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Starting Experiment: 3 / 10\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|███████████████████████████████████████████████████████████████████████████████████████████████████| 400/400 [00:00<00:00, 916.95it/s]\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Starting Experiment: 4 / 10\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|███████████████████████████████████████████████████████████████████████████████████████████████████| 400/400 [00:00<00:00, 711.82it/s]\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Starting Experiment: 5 / 10\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|███████████████████████████████████████████████████████████████████████████████████████████████████| 400/400 [00:00<00:00, 718.31it/s]\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Starting Experiment: 6 / 10\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|███████████████████████████████████████████████████████████████████████████████████████████████████| 400/400 [00:00<00:00, 712.87it/s]\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Starting Experiment: 7 / 10\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|███████████████████████████████████████████████████████████████████████████████████████████████████| 400/400 [00:00<00:00, 693.90it/s]\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Starting Experiment: 8 / 10\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|███████████████████████████████████████████████████████████████████████████████████████████████████| 400/400 [00:00<00:00, 706.36it/s]\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Starting Experiment: 9 / 10\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|███████████████████████████████████████████████████████████████████████████████████████████████████| 400/400 [00:00<00:00, 696.19it/s]\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Starting Experiment: 10 / 10\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|███████████████████████████████████████████████████████████████████████████████████████████████████| 400/400 [00:00<00:00, 894.86it/s]\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAmQAAAHDCAYAAACK4AZ3AAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjguMiwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8g+/7EAAAACXBIWXMAAA9hAAAPYQGoP6dpAAAr4ElEQVR4nO3df1TUdaL/8dckMOKMIMimrYDSj6N7V65HBLNAF8HdLbbjmqk3WVv7sZZaqVkdxY5nrz+OsB73B1qZ21q3bXNVUiiTXfzV8cTVFJHtdne9ZGlJpiYUww9zRPx8//DMfCNAmWHwDfJ8nMM5Mp/PvHlP75Cnn/nw+dgsy7IEAAAAY24wPQEAAIDujiADAAAwjCADAAAwjCADAAAwjCADAAAwjCADAAAwjCADAAAwjCADAAAwjCADAAAwzK8gKy8v15o1a/Tggw8qPj5eQUFBstlsWr58ebsms2vXLmVkZCgqKkqhoaEaMmSInnvuOdXV1bVrXAAAgM4syJ8nrV27Vrm5uQGdyO9//3vNnz9fNptNo0ePVr9+/fTee+9pxYoV2rJli4qLixUVFRXQrwkAANAZ+HWEbOjQoXrmmWf0xhtv6MiRI3rggQfaNYmysjI9/fTT6tGjh7Zv3669e/dq8+bN+uSTT5Senq7y8nLNnDmzXV8DAACgs/LrCNmvfvWrJp/fcEP7TkXLzs6WZVl66KGHdPfdd3sf79Wrl9avX6+bb75ZW7Zs0f/93/9pyJAh7fpaAAAAnY3xk/ovXLig7du3S5IyMzObbR84cKCSk5MlSfn5+dd0bgAAANeC8SD76KOPdO7cOUlSYmJii/t4Hi8rK7tm8wIAALhW/HrLMpCOHz8uSerTp4969+7d4j4xMTFN9m2J2+2W2+32fn7p0iV99dVX6tu3r2w2WwBnDAAArmeWZam2tlbf//73231aVlsZD7La2lpJksPhaHUfp9MpSaqpqWl1n+zsbC1ZsiSwkwMAAN1WRUWFoqOjr8nXMh5kgZKVlaX58+d7P3e5XIqNjVVFRYXCwsIMzgwAAHQlNTU1iomJafWdu45gPMg8L7a+vr7VfTwXhr1SWNntdtnt9maPh4WFEWQAAMBn1/KUJ+Mn9Q8aNEiSVF1d7X378rsqKiqa7AsAAHA9MR5kgwcPVq9evSRJhw4danEfz+MJCQnXbF4AAADXivEgCwkJ0c9+9jNJ0oYNG5pt/+yzz7Rv3z5J0r333ntN5wYAAHAtXLMge/755zVkyBD98pe/bLZt4cKFstlsevXVV/X3v//d+/i5c+f0yCOPqLGxUffddx9X6QcAANclv07qP3z4sGbPnu39/JNPPpEkrVu3Tu+884738fz8fN10002SpMrKSpWXl6t///7NxktISNBvf/tbzZ8/XxkZGfrRj36kG2+8Ue+9955OnTqlwYMH66WXXvJnqgAAAJ2eX0FWU1OjAwcONHv8888/1+eff+79/NsXar2ap556SvHx8frtb3+rgwcPqr6+XrGxscrKylJWVtY1/dVTAACAa8lmWZZlehIdoaamRuHh4XK5XFz2AgAAtJmJhjB+Uj8AAEB3R5ABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAY1q4gy8vLU2pqqiIiIuRwODRs2DCtXLlSDQ0NPo9VX1+v7OxsJSYmKiwsTMHBwerfv7/uuecevf322+2ZJgAAQKdmsyzL8ueJ8+bNU25uroKCgpSWlian06k9e/aourpaKSkp2rFjh0JDQ9s0VlVVlcaMGaN//etfcjqduvPOO9WnTx99/PHHOnz4sCRpzpw5ys3NbfP8ampqFB4eLpfLpbCwMH9eIgAA6IZMNIRfR8gKCgqUm5srp9OpAwcOqKioSFu2bNHRo0cVHx+v4uJiLV68uM3jLV26VP/61780YsQIffbZZyoqKtKmTZtUWlqq7du3KygoSKtXr9b777/vz3QBAAA6Nb+CbMWKFZKkhQsXKiEhwft4VFSUXnzxRUnS888/L5fL1abx9uzZI0lasGCBIiMjm2zLyMjQ2LFjJUn79+/3Z7oAAACdms9BdvLkSZWUlEiSMjMzm21PSUlRTEyM3G63CgsL2zRmz54927RfVFRU2ycKAADQRfgcZGVlZZKkyMhIxcXFtbhPYmJik32v5u6775Yk/eY3v9FXX33VZFthYaHeffdd9e/fX+PHj/d1ugAAAJ1ekK9POH78uCQpNja21X1iYmKa7Hs1CxYs0MGDB1VUVKSBAwcqOTnZe1J/aWmpkpOTtX79eoWHh7c6htvtltvt9n5eU1PTpq8NAABgms9HyGprayVJDoej1X2cTqektkeRw+HQtm3b9Mwzz6i+vr7JSf19+/bVuHHjNGDAgCuOkZ2drfDwcO+HJwoBAAA6u05xYdhTp04pOTlZa9as0fLly3Xs2DHV1dXp4MGDGjFihJYsWaKUlBRvDLYkKytLLpfL+1FRUXENXwEAAID/fA6y3r17S7p8IdfW1NXVSVKbr90xffp0lZSUaNmyZVq0aJHi4uLkcDiUlJSkd955R/Hx8frggw+0atWqVsew2+0KCwtr8gEAANAV+BxkgwYNkqQrHoHybPPseyUnT57Uzp07JUlTp05ttj04OFiTJk2SJO3atcvH2QIAAHR+PgfZ8OHDJV2+un5rJ+0fOnRIkppco6w1J06c8P65taNanpP5v/sbmAAAANcDn4MsOjpaSUlJkqQNGzY0215cXKyKigrZ7XZlZGRcdbxvn6x/4MCBFvfxXKG/tctsAAAAdGV+ndS/aNEiSVJOTo73XpPS5aNms2fPliQ98cQTTS5TkZ+fryFDhig9Pb3JWLGxsd7Amzt3rj799NMm2//yl79o06ZNklq+EC0AAEBX5/N1yCRpwoQJmjNnjlavXq1Ro0YpPT1dDodDu3fvVnV1tZKTk7Vs2bImz3G5XCovL9f58+ebjffKK69o7NixOnLkiH7wgx9o1KhRioqK0pEjR/TPf/5TkjRt2jT94he/8Ge6AAAAnZpfQSZJubm5Sk5O1gsvvKB9+/apoaFBt9xyixYuXKinnnpKISEhbR5r6NCh+t///V/9/ve/19/+9jeVlJTI7XYrIiJCP/3pT/Xwww9rypQp/k4VAACgU7NZlmWZnkRHqKmpUXh4uFwuF5fAAAAAbWaiITrFhWEBAAC6M4IMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAsHYFWV5enlJTUxURESGHw6Fhw4Zp5cqVamho8HvMt956S+PHj1f//v0VEhKiG2+8UXfeeaeWLl3anqkCAAB0WjbLsix/njhv3jzl5uYqKChIaWlpcjqd2rNnj6qrq5WSkqIdO3YoNDS0zeNduHBB06ZNU15enkJDQ3XHHXeoX79+On36tP75z3+qsbFRlZWVbR6vpqZG4eHhcrlcCgsL8+clAgCAbshEQwT586SCggLl5ubK6XRq7969SkhIkCRVVlYqLS1NxcXFWrx4sVatWtXmMWfMmKG8vDxNmDBBL7/8sqKiorzbLl26pIMHD/ozVQAAgE7PryNkI0eOVElJiZYvX67nnnuuybbi4mKNHj1adrtdZ86cUXh4+FXH2717t8aNG6ehQ4fq8OHDCg4O9nVKzXCEDAAA+MNEQ/h8DtnJkydVUlIiScrMzGy2PSUlRTExMXK73SosLGzTmGvWrJF0+W3QQMQYAABAV+LzW5ZlZWWSpMjISMXFxbW4T2JioioqKlRWVqapU6decbzGxkbt3r1bkjRmzBidPn1aGzduVHl5uex2u4YPH6777rtPTqfT16kCAAB0CT4H2fHjxyVJsbGxre4TExPTZN8rOXbsmOrq6iRJ77//vmbPnu393OPZZ5/Vxo0blZaW1uo4brdbbrfb+3lNTc1VvzYAAEBn4PNblrW1tZIkh8PR6j6eo1ltiaKqqirvnx955BGNGDFCJSUlqq2t1T/+8Q9lZGTo7Nmz+vnPf66jR4+2Ok52drbCw8O9H54oBAAA6OyMXxj2279TMGDAABUVFSkxMVFOp1PDhg3T22+/raFDh6qurk45OTmtjpOVlSWXy+X9qKiouBbTBwAAaDefg6x3796SpPr6+lb38bzl2JbfTPCMJ0kPPvig7HZ7k+09evTQY489JknatWtXq+PY7XaFhYU1+QAAAOgKfA6yQYMGSdIVj0B5tnn2vdp4NptNknTzzTe3uI/n8VOnTvkwUwAAgK7B5yAbPny4pMvnfrV20v6hQ4ckyXvB2CtxOp0aPHiwJLV6JX7P4/ymJQAAuB75HGTR0dFKSkqSJG3YsKHZ9uLiYlVUVMhutysjI6NNY06ePFlS629J7ty5U9LlC9ICAABcb/w6qX/RokWSpJycHB0+fNj7eFVVlWbPni1JeuKJJ5pcpT8/P19DhgxRenp6s/HmzJmjiIgIFRYWat26dU22bdy4UW+88YZ3PwAAgOuNX0E2YcIEzZkzR3V1dRo1apTuvvtuTZo0Sbfeeqs+/PBDJScna9myZU2e43K5VF5erk8++aTZeFFRUdq0aZN69uypmTNnaujQoZo8ebISEhI0depUWZalxYsXt/mIGwAAQFfi92UvcnNztWnTJt1xxx3at2+fCgsLFR0drZycHO3Zs0ehoaE+jffjH/9YH3zwgaZPn67q6mq99dZbOnHihDIyMlRUVKSlS5f6O1UAAIBOza+bi3cF3FwcAAD4o0vcXBwAAACBRZABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAY1q4gy8vLU2pqqiIiIuRwODRs2DCtXLlSDQ0N7Z5YYWGhbDabbDabxo0b1+7xAAAAOiu/g2zevHmaMmWK/vu//1sjR47UXXfdpRMnTmjBggVKS0vTN9984/ekvv76a82YMUM2m83vMQAAALoKv4KsoKBAubm5cjqdOnDggIqKirRlyxYdPXpU8fHxKi4u1uLFi/2e1JNPPqkzZ85o5syZfo8BAADQVfgVZCtWrJAkLVy4UAkJCd7Ho6Ki9OKLL0qSnn/+eblcLp/Hzs/P1xtvvKH58+dr5MiR/kwPAACgS/E5yE6ePKmSkhJJUmZmZrPtKSkpiomJkdvtVmFhoU9jV1ZWaubMmRo8eLCWLl3q69QAAAC6JJ+DrKysTJIUGRmpuLi4FvdJTExssm9bzZo1S5WVlVq/fr169uzp69QAAAC6pCBfn3D8+HFJUmxsbKv7xMTENNm3LTZu3Kg333xTc+fOVXJysq/Tktvtltvt9n5eU1Pj8xgAAAAm+HyErLa2VpLkcDha3cfpdEpqexSdPn1ajz/+uG655Rbv+Wm+ys7OVnh4uPfDE4UAAACdXae4MOyjjz6qr7/+Wn/605/Uq1cvv8bIysqSy+XyflRUVAR4lgAAAB3D57cse/fuLUmqr69vdZ+6ujpJUlhY2FXHe+2117Rt2zbNmjVLqampvk7Hy263y263+/18AAAAU3wOskGDBknSFY9AebZ59r2S/Px8SVJJSUmzIDt9+rQkqbS01Ltt48aN6t+/v2+TBgAA6MR8DrLhw4dLkqqqqnT8+PEWf9Py0KFDktTkGmVX43lOS6qrq7V3715J0vnz532ZLgAAQKfn8zlk0dHRSkpKkiRt2LCh2fbi4mJVVFTIbrcrIyPjquMVFBTIsqwWP1599VVJUnp6uvexthx1AwAA6Er8Oql/0aJFkqScnBwdPnzY+3hVVZVmz54tSXriiScUHh7u3Zafn68hQ4YoPT29PfMFAAC47vj8lqUkTZgwQXPmzNHq1as1atQopaeny+FwaPfu3aqurlZycrKWLVvW5Dkul0vl5eW85QgAAPAdfl/2Ijc3V5s2bdIdd9yhffv2qbCwUNHR0crJydGePXsUGhoayHkCAABct2yWZVmmJ9ERampqFB4eLpfL1abLbwAAAEhmGqJTXBgWAACgOyPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADGtXkOXl5Sk1NVURERFyOBwaNmyYVq5cqYaGBp/GKSsrU3Z2ttLT09WvXz8FBwcrIiJCo0eP1gsvvODzeAAAAF2JzbIsy58nzps3T7m5uQoKClJaWpqcTqf27Nmj6upqpaSkaMeOHQoNDb3qOBcvXlRwcLAkyel0KikpSf369dPnn3+u/fv3q7GxUSNHjlRRUZH69OnT5vnV1NQoPDxcLpdLYWFh/rxEAADQDZloCL+OkBUUFCg3N1dOp1MHDhxQUVGRtmzZoqNHjyo+Pl7FxcVavHhxm8cbMWKENm/erMrKSu3Zs0d//etf9d5776msrEw33XSTDh48qPnz5/szVQAAgE7PryNkI0eOVElJiZYvX67nnnuuybbi4mKNHj1adrtdZ86cUXh4eLsm+Je//EUPPPCAQkND5XK5vEfTroYjZAAAwB9d4gjZyZMnVVJSIknKzMxstj0lJUUxMTFyu90qLCxs9wSHDx8uSfrmm29UWVnZ7vEAAAA6G5+DrKysTJIUGRmpuLi4FvdJTExssm97HD16VJIUEhKiyMjIdo8HAADQ2QT5+oTjx49LkmJjY1vdJyYmpsm+/rIsSytXrpQk3XPPPbLb7a3u63a75Xa7vZ/X1NS062sDAABcKz4fIautrZUkORyOVvdxOp2S2h9FS5Ys0f79++V0OpWTk3PFfbOzsxUeHu798EQhAABAZ9dpLwz75z//WUuXLtUNN9ygV155RbfddtsV98/KypLL5fJ+VFRUXKOZAgAAtI/Pb1n27t1bklRfX9/qPnV1dZLk928m5OXl6eGHH5Ykvfzyy5o8efJVn2O326/4liYAAEBn5fMRskGDBknSFY9AebZ59vXF1q1blZmZqUuXLmndunXeMAMAALhe+RxknstQVFVVtXrS/qFDhyRJCQkJPo1dUFCg+++/X42NjVq7dq1mzJjh6/QAAAC6HJ+DLDo6WklJSZKkDRs2NNteXFysiooK2e12ZWRktHncbdu2acqUKbp48aLWrl2rxx57zNepAQAAdEl+ndS/aNEiSVJOTo4OHz7sfbyqqkqzZ8+WJD3xxBNNrtKfn5+vIUOGKD09vdl4hYWFmjRpki5evKiXXnqJGAMAAN2Kzyf1S9KECRM0Z84crV69WqNGjVJ6erocDod2796t6upqJScna9myZU2e43K5VF5ervPnzzd5/Msvv9TEiRN14cIFRUdHa9++fdq3b1+LX3fVqlWKioryZ8oAAACdll9BJkm5ublKTk7WCy+8oH379qmhoUG33HKLFi5cqKeeekohISFtGufcuXPeC7p+/vnneu2111rd9z//8z8JMgAAcN3x6+biXQE3FwcAAP7oEjcXBwAAQGARZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIa1K8jy8vKUmpqqiIgIORwODRs2TCtXrlRDQ4Nf45WWlmry5Mnq16+fevbsqbi4OD355JP68ssv2zNNAACATs1mWZblzxPnzZun3NxcBQUFKS0tTU6nU3v27FF1dbVSUlK0Y8cOhYaGtnm8N998U1OnTtXFixeVlJSkuLg4HTp0SMeOHVO/fv1UXFysW2+9tc3j1dTUKDw8XC6XS2FhYf68RAAA0A2ZaAi/jpAVFBQoNzdXTqdTBw4cUFFRkbZs2aKjR48qPj5excXFWrx4cZvH++KLLzR9+nRdvHhR69at08GDB7Vp0yZ99NFHmjZtms6cOaPMzEz52Y4AAACdml9BtmLFCknSwoULlZCQ4H08KipKL774oiTp+eefl8vlatN4f/jDH3Tu3DmNGzdOjz76qPfxHj16aO3atQoPD1dJSYl27Njhz3QBAAA6NZ+D7OTJkyopKZEkZWZmNtuekpKimJgYud1uFRYWtmnM/Pz8VsdzOp0aP368JGnr1q2+ThcAAKDT8znIysrKJEmRkZGKi4trcZ/ExMQm+15JbW2tPv744ybPa894AAAAXU2Qr084fvy4JCk2NrbVfWJiYprseyWffvqp98+tjdmW8dxut9xut/dzz9ulNTU1V50DAACAh6cdruW56z4HWW1trSTJ4XC0uo/T6ZTUthjyjHelMdsyXnZ2tpYsWdLscU/MAQAA+KKqqkrh4eHX5Gv5HGSdVVZWlubPn+/9vLq6WgMHDtSJEyeu2X9M+K6mpkYxMTGqqKjg8iSdGOvUNbBOnR9r1DW4XC7FxsYqMjLymn1Nn4Osd+/ekqT6+vpW96mrq5OkNv3P5hnPM2ZL8dSW8ex2u+x2e7PHw8PD+Z++CwgLC2OdugDWqWtgnTo/1qhruOGGa3dDI5+/0qBBgyRJFRUVre7j2ebZ90oGDhzo/fOJEyfaPR4AAEBX43OQDR8+XNLl91VbO8n+0KFDktTkGmWtCQsL816B3/O89owHAADQ1fgcZNHR0UpKSpIkbdiwodn24uJiVVRUyG63KyMjo01j3nvvva2OV1dXp23btkmSJk6c2OZ52u12/frXv27xbUx0HqxT18A6dQ2sU+fHGnUNJtbJr3tZFhQU6N5775XT6dTevXu9R66qqqo0duxYffjhh3r66ae1atUq73Py8/OVlZWlAQMGaPfu3U3G++KLL3Tbbbfp3Llz+uMf/6gZM2ZIkhobG/XQQw/p9ddfV1JSkg4cOCCbzdae1wsAANDp+H1z8blz52r16tUKDg5Wenq6HA6Hdu/ererqaiUnJ2vnzp1Nbi7+X//1X3rooYc0cODAJtce88jLy9PUqVPV2Nio22+/XYMGDVJJSYnfNxcHAADoKvz+9YHc3Fxt2rRJd9xxh/bt26fCwkJFR0crJydHe/bsaRJjbTF58mQdOHBAEydO1LFjx5Sfn6/GxkY9/vjj+uCDD4gxAABw3fL7CBkAAAAC49pdYAMAAAAt6jJBlpeXp9TUVEVERMjhcGjYsGFauXKlGhoa/BqvtLRUkydPVr9+/dSzZ0/FxcXpySef1JdffhngmXcvgVqnsrIyZWdnKz09Xf369VNwcLAiIiI0evRovfDCC36vOy4L9PfTtxUWFspms8lms2ncuHEBmG331BFr9NZbb2n8+PHq37+/QkJCdOONN+rOO+/U0qVLAzjz7iWQ61RfX6/s7GwlJiYqLCxMwcHB6t+/v+655x69/fbbHTD76195ebnWrFmjBx98UPHx8QoKCpLNZtPy5cvbNe6uXbuUkZGhqKgohYaGasiQIXruuee8F7L3i9UFzJ0715JkBQUFWT/5yU+siRMnWn369LEkWSkpKda5c+d8Gi8vL88KCgqyJFlJSUnWlClTrJtvvtmSZPXr1886evRoB72S61ug1qmhocGSZEmynE6nNXbsWOv++++3UlJSrB49eliSrJEjR1pff/11x76g61Sgv5++7auvvrK+//3vWzabzZJkpaenB3Dm3Ueg18jtdluTJ0+2JFmhoaFWWlqaNXXqVGvs2LHWjTfeaPXt27eDXsn1LZDrVFlZaf3bv/2b9++9n/zkJ9aUKVOshIQE79+Hc+bM6cBXc33yrNF3P5YtW+b3mL/73e8sSZbNZrPGjBljTZ482erfv78lyRo8eLB19uxZv8bt9EGWn5/v/R+0tLTU+/jZs2et+Ph4S5L19NNPt3m8kydPWr169bIkWevWrfM+fvHiRWvatGneSLt06VJAX8f1LpDr1NDQYI0YMcLavHmzdf78+Sbb/ud//se66aabLEnWQw89FNDX0B0E+vvpu37xi19YPXr0sGbNmkWQ+akj1uiXv/ylJcmaMGFCsx8WjY2N1v79+wMy9+4k0Os0Z84cS5I1YsQIq6qqqsm27du3ew8isFa+efnll61nnnnGeuONN6wjR45YDzzwQLuC7PDhw5bNZrN69OhhFRYWeh+vr6+30tPTLUnWfffd59fYnT7IkpKSLEnW8uXLm2177733LEmW3W63qqur2zTes88+a0myxo0b12xbbW2tFR4ebkmy/v73v7d77t1JoNfpSl5//XXvv/QvXLjQ7vG6k45cp61bt1qSrGeffdZ69dVXCTI/BXqNdu3aZUmyhg4dyvdLAAV6nYYOHWpJsjZv3tzi9h//+MeWJOt3v/tdu+bd3U2fPr1dQeY50vyrX/2q2bZPP/3UuuGGGyxJ1pEjR3weu1OfQ3by5EmVlJRIkjIzM5ttT0lJUUxMjNxutwoLC9s0Zn5+fqvjOZ1OjR8/XpK0detWf6fd7XTEOl2J5/Zd33zzjSorK9s9XnfRketUWVmpmTNnavDgwZyP1A4dsUZr1qyRJM2bN0/BwcGBm2w31hHr1LNnzzbtFxUV1faJIqAuXLig7du3S2p53QcOHKjk5GRJ/781fNGpg6ysrEySFBkZqbi4uBb3SUxMbLLvldTW1urjjz9u8rz2jIfLAr1OV3P06FFJUkhIiCIjI9s9XnfRkes0a9YsVVZWav369W3+wYLmAr1GjY2N3jujjBkzRqdPn9Yf/vAHzZo1S/PmzdNrr73WvpOQu6mO+F66++67JUm/+c1v9NVXXzXZVlhYqHfffVf9+/f3HjTAtffRRx/p3LlzkjqmIYL8n1rH89y8PDY2ttV9YmJimux7Jd++Q0BrY/oyHi4L9DpdiWVZWrlypSTpnnvu4X5wPuioddq4caPefPNNzZ071/uvQ/gn0Gt07Ngxb3C9//77mj17drMAe/bZZ7Vx40alpaX5O+1upyO+lxYsWKCDBw+qqKjIe6SlT58++vjjj1VaWqrk5GStX79e4eHh7X8B8ItnLfv06aPevXu3uE97ftZ16iNktbW1kiSHw9HqPk6nU5JUU1PT5vGuNKYv4+GyQK/TlSxZskT79++X0+lUTk5Ou8bqbjpinU6fPq3HH39ct9xyi1asWNH+SXZzgV6jqqoq758feeQRjRgxQiUlJaqtrdU//vEPZWRk6OzZs/r5z3/uPfKMq+uI7yWHw6Ft27bpmWeeUX19vYqKirRp0yaVlpaqb9++GjdunAYMGND+ycNvHf2zrlMHGfBtf/7zn7V06VLdcMMNeuWVV3TbbbeZnlK39+ijj+rrr7/Wn/70J/Xq1cv0dPAd1rduxDJgwAAVFRUpMTFRTqdTw4YN09tvv62hQ4eqrq6Of+AYdurUKSUnJ2vNmjVavny59+jmwYMHNWLECC1ZskQpKSlNDizg+tKpg8xzSLC+vr7VfTyH38PCwto83pXG9GU8XBbodWpJXl6eHn74YUnSyy+/rMmTJ/s1TncW6HV67bXXtG3bNs2cOVOpqakBmWN315F/5z344IPN3uLv0aOHHnvsMUmXL3SJtumIv/OmT5+ukpISLVu2TIsWLVJcXJwcDoeSkpL0zjvvKD4+Xh988IFWrVrV/hcAv3T0z7pOfQ7ZoEGDJEkVFRWt7uPZ5tn3SgYOHOj984kTJxQfH9+u8XBZoNfpu7Zu3arMzExdunRJ69at84YZfBPodfL8FlFJSUmzIDt9+rSky3fE8GzbuHGj+vfv79uku5lAr9GgQYNks9lkWZZuvvnmFvfxPH7q1CnfJtuNBXqdTp48qZ07d0qSpk6d2mx7cHCwJk2apA8//FC7du3SkiVLfJ802s2zltXV1aqtrW3xPLL2/Kzr1EfIPJc3qKqqavUEuUOHDkmSEhISrjpeWFiYbr311ibPa894uCzQ6/RtBQUFuv/++9XY2Ki1a9dqxowZ7ZtsN9ZR63To0CHt3bu3yUd5ebmky39xeR47f/58O1/B9S/Qa+R0OjV48GBJavUSMZ7HPee+4OoCvU4nTpzw/rm1Iyuek/m/+xuYuHYGDx7sPTWjIxqiUwdZdHS0kpKSJEkbNmxotr24uFgVFRWy2+3KyMho05j33ntvq+PV1dVp27ZtkqSJEyf6O+1upyPWSZK2bdumKVOm6OLFi1q7dq33rRX4J9DrVFBQIOvyxaWbfbz66quSpPT0dO9jHHW+uo74XvK8vd/aW5KeIzMjR470Z8rdUqDX6dsn6x84cKDFfd5//31JavUyG+h4ISEh+tnPfiap5XX/7LPPtG/fPkn/vzV84telaq+h1m5PUVlZ2ertKbZu3WoNHjzYSktLazbet2+d9Mc//tH7+MWLF723VODWSb4L9Dpt377dCgkJsWw2W5NbXKF9Ar1OreFK/f4L9BqdPXvWioiIsCRZL730UpNtf/3rX733Hd2+fXvHvKDrVKDXyXPl/x/84AfW8ePHm2x7/fXXvev0+uuvd8jr6S7acqX+NWvWWIMHD7YeeOCBZttKS0u9t07629/+5n28W9w6ybL+/z2+goODrbvuusu67777vDdwTU5ObnYDV88Pg4EDB7Y43ubNm703qb799tut//iP/+Dm4gEQqHU6c+aMZbfbLUlWdHS0NX369FY//L2Ja3cW6O+nlhBk7RPoNdqxY4fVs2dPS5L1wx/+0Jo0aZI1fPhw742WFy9efA1e1fUnkOv04YcfWlFRUZYkq2fPnlZqaqo1adIk64c//KF3naZNm8bBAh+VlpZat99+u/fD8984Ojq6yeNffPGF9zm//vWvLUnWj370oxbH/PbNxVNTU60pU6Z477F8Xd9c3GPTpk3WmDFjrLCwMCs0NNQaOnSolZOTY7nd7mb7tuUHyKFDh6yJEyda3/ve96yQkBBr4MCB1uOPP26dPn26A1/F9S8Q63T8+HHvX0BX+/juvyTRNoH+fmrtOQSZ/wK9RuXl5db06dOtAQMGWMHBwVbfvn2tjIwMq6ioqANfxfUvkOt0+vRpa8GCBda///u/Ww6HwwoKCrK+973vWT/96U+tTZs2dfAruT69++67Pv8suVqQWZZl7dy507rrrrusyMhIy263W7fddpuVlZVl1dTU+D1Xm2V960I1AAAAuOY69Un9AAAA3QFBBgAAYBhBBgAAYBhBBgAAYBhBBgAAYBhBBgAAYBhBBgAAYBhBBgAAYBhBBgAAYBhBBgAAYBhBBgAAYBhBBgAAYNj/A0WbNJHhDYM3AAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAmQAAAHDCAYAAACK4AZ3AAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjguMiwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8g+/7EAAAACXBIWXMAAA9hAAAPYQGoP6dpAAAr4ElEQVR4nO3df1TUdaL/8dckMOKMIMimrYDSj6N7V65HBLNAF8HdLbbjmqk3WVv7sZZaqVkdxY5nrz+OsB73B1qZ21q3bXNVUiiTXfzV8cTVFJHtdne9ZGlJpiYUww9zRPx8//DMfCNAmWHwDfJ8nMM5Mp/PvHlP75Cnn/nw+dgsy7IEAAAAY24wPQEAAIDujiADAAAwjCADAAAwjCADAAAwjCADAAAwjCADAAAwjCADAAAwjCADAAAwjCADAAAwzK8gKy8v15o1a/Tggw8qPj5eQUFBstlsWr58ebsms2vXLmVkZCgqKkqhoaEaMmSInnvuOdXV1bVrXAAAgM4syJ8nrV27Vrm5uQGdyO9//3vNnz9fNptNo0ePVr9+/fTee+9pxYoV2rJli4qLixUVFRXQrwkAANAZ+HWEbOjQoXrmmWf0xhtv6MiRI3rggQfaNYmysjI9/fTT6tGjh7Zv3669e/dq8+bN+uSTT5Senq7y8nLNnDmzXV8DAACgs/LrCNmvfvWrJp/fcEP7TkXLzs6WZVl66KGHdPfdd3sf79Wrl9avX6+bb75ZW7Zs0f/93/9pyJAh7fpaAAAAnY3xk/ovXLig7du3S5IyMzObbR84cKCSk5MlSfn5+dd0bgAAANeC8SD76KOPdO7cOUlSYmJii/t4Hi8rK7tm8wIAALhW/HrLMpCOHz8uSerTp4969+7d4j4xMTFN9m2J2+2W2+32fn7p0iV99dVX6tu3r2w2WwBnDAAArmeWZam2tlbf//73231aVlsZD7La2lpJksPhaHUfp9MpSaqpqWl1n+zsbC1ZsiSwkwMAAN1WRUWFoqOjr8nXMh5kgZKVlaX58+d7P3e5XIqNjVVFRYXCwsIMzgwAAHQlNTU1iomJafWdu45gPMg8L7a+vr7VfTwXhr1SWNntdtnt9maPh4WFEWQAAMBn1/KUJ+Mn9Q8aNEiSVF1d7X378rsqKiqa7AsAAHA9MR5kgwcPVq9evSRJhw4danEfz+MJCQnXbF4AAADXivEgCwkJ0c9+9jNJ0oYNG5pt/+yzz7Rv3z5J0r333ntN5wYAAHAtXLMge/755zVkyBD98pe/bLZt4cKFstlsevXVV/X3v//d+/i5c+f0yCOPqLGxUffddx9X6QcAANclv07qP3z4sGbPnu39/JNPPpEkrVu3Tu+884738fz8fN10002SpMrKSpWXl6t///7NxktISNBvf/tbzZ8/XxkZGfrRj36kG2+8Ue+9955OnTqlwYMH66WXXvJnqgAAAJ2eX0FWU1OjAwcONHv8888/1+eff+79/NsXar2ap556SvHx8frtb3+rgwcPqr6+XrGxscrKylJWVtY1/dVTAACAa8lmWZZlehIdoaamRuHh4XK5XFz2AgAAtJmJhjB+Uj8AAEB3R5ABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAY1q4gy8vLU2pqqiIiIuRwODRs2DCtXLlSDQ0NPo9VX1+v7OxsJSYmKiwsTMHBwerfv7/uuecevf322+2ZJgAAQKdmsyzL8ueJ8+bNU25uroKCgpSWlian06k9e/aourpaKSkp2rFjh0JDQ9s0VlVVlcaMGaN//etfcjqduvPOO9WnTx99/PHHOnz4sCRpzpw5ys3NbfP8ampqFB4eLpfLpbCwMH9eIgAA6IZMNIRfR8gKCgqUm5srp9OpAwcOqKioSFu2bNHRo0cVHx+v4uJiLV68uM3jLV26VP/61780YsQIffbZZyoqKtKmTZtUWlqq7du3KygoSKtXr9b777/vz3QBAAA6Nb+CbMWKFZKkhQsXKiEhwft4VFSUXnzxRUnS888/L5fL1abx9uzZI0lasGCBIiMjm2zLyMjQ2LFjJUn79+/3Z7oAAACdms9BdvLkSZWUlEiSMjMzm21PSUlRTEyM3G63CgsL2zRmz54927RfVFRU2ycKAADQRfgcZGVlZZKkyMhIxcXFtbhPYmJik32v5u6775Yk/eY3v9FXX33VZFthYaHeffdd9e/fX+PHj/d1ugAAAJ1ekK9POH78uCQpNja21X1iYmKa7Hs1CxYs0MGDB1VUVKSBAwcqOTnZe1J/aWmpkpOTtX79eoWHh7c6htvtltvt9n5eU1PTpq8NAABgms9HyGprayVJDoej1X2cTqektkeRw+HQtm3b9Mwzz6i+vr7JSf19+/bVuHHjNGDAgCuOkZ2drfDwcO+HJwoBAAA6u05xYdhTp04pOTlZa9as0fLly3Xs2DHV1dXp4MGDGjFihJYsWaKUlBRvDLYkKytLLpfL+1FRUXENXwEAAID/fA6y3r17S7p8IdfW1NXVSVKbr90xffp0lZSUaNmyZVq0aJHi4uLkcDiUlJSkd955R/Hx8frggw+0atWqVsew2+0KCwtr8gEAANAV+BxkgwYNkqQrHoHybPPseyUnT57Uzp07JUlTp05ttj04OFiTJk2SJO3atcvH2QIAAHR+PgfZ8OHDJV2+un5rJ+0fOnRIkppco6w1J06c8P65taNanpP5v/sbmAAAANcDn4MsOjpaSUlJkqQNGzY0215cXKyKigrZ7XZlZGRcdbxvn6x/4MCBFvfxXKG/tctsAAAAdGV+ndS/aNEiSVJOTo73XpPS5aNms2fPliQ98cQTTS5TkZ+fryFDhig9Pb3JWLGxsd7Amzt3rj799NMm2//yl79o06ZNklq+EC0AAEBX5/N1yCRpwoQJmjNnjlavXq1Ro0YpPT1dDodDu3fvVnV1tZKTk7Vs2bImz3G5XCovL9f58+ebjffKK69o7NixOnLkiH7wgx9o1KhRioqK0pEjR/TPf/5TkjRt2jT94he/8Ge6AAAAnZpfQSZJubm5Sk5O1gsvvKB9+/apoaFBt9xyixYuXKinnnpKISEhbR5r6NCh+t///V/9/ve/19/+9jeVlJTI7XYrIiJCP/3pT/Xwww9rypQp/k4VAACgU7NZlmWZnkRHqKmpUXh4uFwuF5fAAAAAbWaiITrFhWEBAAC6M4IMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAsHYFWV5enlJTUxURESGHw6Fhw4Zp5cqVamho8HvMt956S+PHj1f//v0VEhKiG2+8UXfeeaeWLl3anqkCAAB0WjbLsix/njhv3jzl5uYqKChIaWlpcjqd2rNnj6qrq5WSkqIdO3YoNDS0zeNduHBB06ZNU15enkJDQ3XHHXeoX79+On36tP75z3+qsbFRlZWVbR6vpqZG4eHhcrlcCgsL8+clAgCAbshEQwT586SCggLl5ubK6XRq7969SkhIkCRVVlYqLS1NxcXFWrx4sVatWtXmMWfMmKG8vDxNmDBBL7/8sqKiorzbLl26pIMHD/ozVQAAgE7PryNkI0eOVElJiZYvX67nnnuuybbi4mKNHj1adrtdZ86cUXh4+FXH2717t8aNG6ehQ4fq8OHDCg4O9nVKzXCEDAAA+MNEQ/h8DtnJkydVUlIiScrMzGy2PSUlRTExMXK73SosLGzTmGvWrJF0+W3QQMQYAABAV+LzW5ZlZWWSpMjISMXFxbW4T2JioioqKlRWVqapU6decbzGxkbt3r1bkjRmzBidPn1aGzduVHl5uex2u4YPH6777rtPTqfT16kCAAB0CT4H2fHjxyVJsbGxre4TExPTZN8rOXbsmOrq6iRJ77//vmbPnu393OPZZ5/Vxo0blZaW1uo4brdbbrfb+3lNTc1VvzYAAEBn4PNblrW1tZIkh8PR6j6eo1ltiaKqqirvnx955BGNGDFCJSUlqq2t1T/+8Q9lZGTo7Nmz+vnPf66jR4+2Ok52drbCw8O9H54oBAAA6OyMXxj2279TMGDAABUVFSkxMVFOp1PDhg3T22+/raFDh6qurk45OTmtjpOVlSWXy+X9qKiouBbTBwAAaDefg6x3796SpPr6+lb38bzl2JbfTPCMJ0kPPvig7HZ7k+09evTQY489JknatWtXq+PY7XaFhYU1+QAAAOgKfA6yQYMGSdIVj0B5tnn2vdp4NptNknTzzTe3uI/n8VOnTvkwUwAAgK7B5yAbPny4pMvnfrV20v6hQ4ckyXvB2CtxOp0aPHiwJLV6JX7P4/ymJQAAuB75HGTR0dFKSkqSJG3YsKHZ9uLiYlVUVMhutysjI6NNY06ePFlS629J7ty5U9LlC9ICAABcb/w6qX/RokWSpJycHB0+fNj7eFVVlWbPni1JeuKJJ5pcpT8/P19DhgxRenp6s/HmzJmjiIgIFRYWat26dU22bdy4UW+88YZ3PwAAgOuNX0E2YcIEzZkzR3V1dRo1apTuvvtuTZo0Sbfeeqs+/PBDJScna9myZU2e43K5VF5erk8++aTZeFFRUdq0aZN69uypmTNnaujQoZo8ebISEhI0depUWZalxYsXt/mIGwAAQFfi92UvcnNztWnTJt1xxx3at2+fCgsLFR0drZycHO3Zs0ehoaE+jffjH/9YH3zwgaZPn67q6mq99dZbOnHihDIyMlRUVKSlS5f6O1UAAIBOza+bi3cF3FwcAAD4o0vcXBwAAACBRZABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAY1q4gy8vLU2pqqiIiIuRwODRs2DCtXLlSDQ0N7Z5YYWGhbDabbDabxo0b1+7xAAAAOiu/g2zevHmaMmWK/vu//1sjR47UXXfdpRMnTmjBggVKS0vTN9984/ekvv76a82YMUM2m83vMQAAALoKv4KsoKBAubm5cjqdOnDggIqKirRlyxYdPXpU8fHxKi4u1uLFi/2e1JNPPqkzZ85o5syZfo8BAADQVfgVZCtWrJAkLVy4UAkJCd7Ho6Ki9OKLL0qSnn/+eblcLp/Hzs/P1xtvvKH58+dr5MiR/kwPAACgS/E5yE6ePKmSkhJJUmZmZrPtKSkpiomJkdvtVmFhoU9jV1ZWaubMmRo8eLCWLl3q69QAAAC6JJ+DrKysTJIUGRmpuLi4FvdJTExssm9bzZo1S5WVlVq/fr169uzp69QAAAC6pCBfn3D8+HFJUmxsbKv7xMTENNm3LTZu3Kg333xTc+fOVXJysq/Tktvtltvt9n5eU1Pj8xgAAAAm+HyErLa2VpLkcDha3cfpdEpqexSdPn1ajz/+uG655Rbv+Wm+ys7OVnh4uPfDE4UAAACdXae4MOyjjz6qr7/+Wn/605/Uq1cvv8bIysqSy+XyflRUVAR4lgAAAB3D57cse/fuLUmqr69vdZ+6ujpJUlhY2FXHe+2117Rt2zbNmjVLqampvk7Hy263y263+/18AAAAU3wOskGDBknSFY9AebZ59r2S/Px8SVJJSUmzIDt9+rQkqbS01Ltt48aN6t+/v2+TBgAA6MR8DrLhw4dLkqqqqnT8+PEWf9Py0KFDktTkGmVX43lOS6qrq7V3715J0vnz532ZLgAAQKfn8zlk0dHRSkpKkiRt2LCh2fbi4mJVVFTIbrcrIyPjquMVFBTIsqwWP1599VVJUnp6uvexthx1AwAA6Er8Oql/0aJFkqScnBwdPnzY+3hVVZVmz54tSXriiScUHh7u3Zafn68hQ4YoPT29PfMFAAC47vj8lqUkTZgwQXPmzNHq1as1atQopaeny+FwaPfu3aqurlZycrKWLVvW5Dkul0vl5eW85QgAAPAdfl/2Ijc3V5s2bdIdd9yhffv2qbCwUNHR0crJydGePXsUGhoayHkCAABct2yWZVmmJ9ERampqFB4eLpfL1abLbwAAAEhmGqJTXBgWAACgOyPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADGtXkOXl5Sk1NVURERFyOBwaNmyYVq5cqYaGBp/GKSsrU3Z2ttLT09WvXz8FBwcrIiJCo0eP1gsvvODzeAAAAF2JzbIsy58nzps3T7m5uQoKClJaWpqcTqf27Nmj6upqpaSkaMeOHQoNDb3qOBcvXlRwcLAkyel0KikpSf369dPnn3+u/fv3q7GxUSNHjlRRUZH69OnT5vnV1NQoPDxcLpdLYWFh/rxEAADQDZloCL+OkBUUFCg3N1dOp1MHDhxQUVGRtmzZoqNHjyo+Pl7FxcVavHhxm8cbMWKENm/erMrKSu3Zs0d//etf9d5776msrEw33XSTDh48qPnz5/szVQAAgE7PryNkI0eOVElJiZYvX67nnnuuybbi4mKNHj1adrtdZ86cUXh4eLsm+Je//EUPPPCAQkND5XK5vEfTroYjZAAAwB9d4gjZyZMnVVJSIknKzMxstj0lJUUxMTFyu90qLCxs9wSHDx8uSfrmm29UWVnZ7vEAAAA6G5+DrKysTJIUGRmpuLi4FvdJTExssm97HD16VJIUEhKiyMjIdo8HAADQ2QT5+oTjx49LkmJjY1vdJyYmpsm+/rIsSytXrpQk3XPPPbLb7a3u63a75Xa7vZ/X1NS062sDAABcKz4fIautrZUkORyOVvdxOp2S2h9FS5Ys0f79++V0OpWTk3PFfbOzsxUeHu798EQhAABAZ9dpLwz75z//WUuXLtUNN9ygV155RbfddtsV98/KypLL5fJ+VFRUXKOZAgAAtI/Pb1n27t1bklRfX9/qPnV1dZLk928m5OXl6eGHH5Ykvfzyy5o8efJVn2O326/4liYAAEBn5fMRskGDBknSFY9AebZ59vXF1q1blZmZqUuXLmndunXeMAMAALhe+RxknstQVFVVtXrS/qFDhyRJCQkJPo1dUFCg+++/X42NjVq7dq1mzJjh6/QAAAC6HJ+DLDo6WklJSZKkDRs2NNteXFysiooK2e12ZWRktHncbdu2acqUKbp48aLWrl2rxx57zNepAQAAdEl+ndS/aNEiSVJOTo4OHz7sfbyqqkqzZ8+WJD3xxBNNrtKfn5+vIUOGKD09vdl4hYWFmjRpki5evKiXXnqJGAMAAN2Kzyf1S9KECRM0Z84crV69WqNGjVJ6erocDod2796t6upqJScna9myZU2e43K5VF5ervPnzzd5/Msvv9TEiRN14cIFRUdHa9++fdq3b1+LX3fVqlWKioryZ8oAAACdll9BJkm5ublKTk7WCy+8oH379qmhoUG33HKLFi5cqKeeekohISFtGufcuXPeC7p+/vnneu2111rd9z//8z8JMgAAcN3x6+biXQE3FwcAAP7oEjcXBwAAQGARZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIa1K8jy8vKUmpqqiIgIORwODRs2TCtXrlRDQ4Nf45WWlmry5Mnq16+fevbsqbi4OD355JP68ssv2zNNAACATs1mWZblzxPnzZun3NxcBQUFKS0tTU6nU3v27FF1dbVSUlK0Y8cOhYaGtnm8N998U1OnTtXFixeVlJSkuLg4HTp0SMeOHVO/fv1UXFysW2+9tc3j1dTUKDw8XC6XS2FhYf68RAAA0A2ZaAi/jpAVFBQoNzdXTqdTBw4cUFFRkbZs2aKjR48qPj5excXFWrx4cZvH++KLLzR9+nRdvHhR69at08GDB7Vp0yZ99NFHmjZtms6cOaPMzEz52Y4AAACdml9BtmLFCknSwoULlZCQ4H08KipKL774oiTp+eefl8vlatN4f/jDH3Tu3DmNGzdOjz76qPfxHj16aO3atQoPD1dJSYl27Njhz3QBAAA6NZ+D7OTJkyopKZEkZWZmNtuekpKimJgYud1uFRYWtmnM/Pz8VsdzOp0aP368JGnr1q2+ThcAAKDT8znIysrKJEmRkZGKi4trcZ/ExMQm+15JbW2tPv744ybPa894AAAAXU2Qr084fvy4JCk2NrbVfWJiYprseyWffvqp98+tjdmW8dxut9xut/dzz9ulNTU1V50DAACAh6cdruW56z4HWW1trSTJ4XC0uo/T6ZTUthjyjHelMdsyXnZ2tpYsWdLscU/MAQAA+KKqqkrh4eHX5Gv5HGSdVVZWlubPn+/9vLq6WgMHDtSJEyeu2X9M+K6mpkYxMTGqqKjg8iSdGOvUNbBOnR9r1DW4XC7FxsYqMjLymn1Nn4Osd+/ekqT6+vpW96mrq5OkNv3P5hnPM2ZL8dSW8ex2u+x2e7PHw8PD+Z++CwgLC2OdugDWqWtgnTo/1qhruOGGa3dDI5+/0qBBgyRJFRUVre7j2ebZ90oGDhzo/fOJEyfaPR4AAEBX43OQDR8+XNLl91VbO8n+0KFDktTkGmWtCQsL816B3/O89owHAADQ1fgcZNHR0UpKSpIkbdiwodn24uJiVVRUyG63KyMjo01j3nvvva2OV1dXp23btkmSJk6c2OZ52u12/frXv27xbUx0HqxT18A6dQ2sU+fHGnUNJtbJr3tZFhQU6N5775XT6dTevXu9R66qqqo0duxYffjhh3r66ae1atUq73Py8/OVlZWlAQMGaPfu3U3G++KLL3Tbbbfp3Llz+uMf/6gZM2ZIkhobG/XQQw/p9ddfV1JSkg4cOCCbzdae1wsAANDp+H1z8blz52r16tUKDg5Wenq6HA6Hdu/ererqaiUnJ2vnzp1Nbi7+X//1X3rooYc0cODAJtce88jLy9PUqVPV2Nio22+/XYMGDVJJSYnfNxcHAADoKvz+9YHc3Fxt2rRJd9xxh/bt26fCwkJFR0crJydHe/bsaRJjbTF58mQdOHBAEydO1LFjx5Sfn6/GxkY9/vjj+uCDD4gxAABw3fL7CBkAAAAC49pdYAMAAAAt6jJBlpeXp9TUVEVERMjhcGjYsGFauXKlGhoa/BqvtLRUkydPVr9+/dSzZ0/FxcXpySef1JdffhngmXcvgVqnsrIyZWdnKz09Xf369VNwcLAiIiI0evRovfDCC36vOy4L9PfTtxUWFspms8lms2ncuHEBmG331BFr9NZbb2n8+PHq37+/QkJCdOONN+rOO+/U0qVLAzjz7iWQ61RfX6/s7GwlJiYqLCxMwcHB6t+/v+655x69/fbbHTD76195ebnWrFmjBx98UPHx8QoKCpLNZtPy5cvbNe6uXbuUkZGhqKgohYaGasiQIXruuee8F7L3i9UFzJ0715JkBQUFWT/5yU+siRMnWn369LEkWSkpKda5c+d8Gi8vL88KCgqyJFlJSUnWlClTrJtvvtmSZPXr1886evRoB72S61ug1qmhocGSZEmynE6nNXbsWOv++++3UlJSrB49eliSrJEjR1pff/11x76g61Sgv5++7auvvrK+//3vWzabzZJkpaenB3Dm3Ueg18jtdluTJ0+2JFmhoaFWWlqaNXXqVGvs2LHWjTfeaPXt27eDXsn1LZDrVFlZaf3bv/2b9++9n/zkJ9aUKVOshIQE79+Hc+bM6cBXc33yrNF3P5YtW+b3mL/73e8sSZbNZrPGjBljTZ482erfv78lyRo8eLB19uxZv8bt9EGWn5/v/R+0tLTU+/jZs2et+Ph4S5L19NNPt3m8kydPWr169bIkWevWrfM+fvHiRWvatGneSLt06VJAX8f1LpDr1NDQYI0YMcLavHmzdf78+Sbb/ud//se66aabLEnWQw89FNDX0B0E+vvpu37xi19YPXr0sGbNmkWQ+akj1uiXv/ylJcmaMGFCsx8WjY2N1v79+wMy9+4k0Os0Z84cS5I1YsQIq6qqqsm27du3ew8isFa+efnll61nnnnGeuONN6wjR45YDzzwQLuC7PDhw5bNZrN69OhhFRYWeh+vr6+30tPTLUnWfffd59fYnT7IkpKSLEnW8uXLm2177733LEmW3W63qqur2zTes88+a0myxo0b12xbbW2tFR4ebkmy/v73v7d77t1JoNfpSl5//XXvv/QvXLjQ7vG6k45cp61bt1qSrGeffdZ69dVXCTI/BXqNdu3aZUmyhg4dyvdLAAV6nYYOHWpJsjZv3tzi9h//+MeWJOt3v/tdu+bd3U2fPr1dQeY50vyrX/2q2bZPP/3UuuGGGyxJ1pEjR3weu1OfQ3by5EmVlJRIkjIzM5ttT0lJUUxMjNxutwoLC9s0Zn5+fqvjOZ1OjR8/XpK0detWf6fd7XTEOl2J5/Zd33zzjSorK9s9XnfRketUWVmpmTNnavDgwZyP1A4dsUZr1qyRJM2bN0/BwcGBm2w31hHr1LNnzzbtFxUV1faJIqAuXLig7du3S2p53QcOHKjk5GRJ/781fNGpg6ysrEySFBkZqbi4uBb3SUxMbLLvldTW1urjjz9u8rz2jIfLAr1OV3P06FFJUkhIiCIjI9s9XnfRkes0a9YsVVZWav369W3+wYLmAr1GjY2N3jujjBkzRqdPn9Yf/vAHzZo1S/PmzdNrr73WvpOQu6mO+F66++67JUm/+c1v9NVXXzXZVlhYqHfffVf9+/f3HjTAtffRRx/p3LlzkjqmIYL8n1rH89y8PDY2ttV9YmJimux7Jd++Q0BrY/oyHi4L9DpdiWVZWrlypSTpnnvu4X5wPuioddq4caPefPNNzZ071/uvQ/gn0Gt07Ngxb3C9//77mj17drMAe/bZZ7Vx40alpaX5O+1upyO+lxYsWKCDBw+qqKjIe6SlT58++vjjj1VaWqrk5GStX79e4eHh7X8B8ItnLfv06aPevXu3uE97ftZ16iNktbW1kiSHw9HqPk6nU5JUU1PT5vGuNKYv4+GyQK/TlSxZskT79++X0+lUTk5Ou8bqbjpinU6fPq3HH39ct9xyi1asWNH+SXZzgV6jqqoq758feeQRjRgxQiUlJaqtrdU//vEPZWRk6OzZs/r5z3/uPfKMq+uI7yWHw6Ft27bpmWeeUX19vYqKirRp0yaVlpaqb9++GjdunAYMGND+ycNvHf2zrlMHGfBtf/7zn7V06VLdcMMNeuWVV3TbbbeZnlK39+ijj+rrr7/Wn/70J/Xq1cv0dPAd1rduxDJgwAAVFRUpMTFRTqdTw4YN09tvv62hQ4eqrq6Of+AYdurUKSUnJ2vNmjVavny59+jmwYMHNWLECC1ZskQpKSlNDizg+tKpg8xzSLC+vr7VfTyH38PCwto83pXG9GU8XBbodWpJXl6eHn74YUnSyy+/rMmTJ/s1TncW6HV67bXXtG3bNs2cOVOpqakBmWN315F/5z344IPN3uLv0aOHHnvsMUmXL3SJtumIv/OmT5+ukpISLVu2TIsWLVJcXJwcDoeSkpL0zjvvKD4+Xh988IFWrVrV/hcAv3T0z7pOfQ7ZoEGDJEkVFRWt7uPZ5tn3SgYOHOj984kTJxQfH9+u8XBZoNfpu7Zu3arMzExdunRJ69at84YZfBPodfL8FlFJSUmzIDt9+rSky3fE8GzbuHGj+vfv79uku5lAr9GgQYNks9lkWZZuvvnmFvfxPH7q1CnfJtuNBXqdTp48qZ07d0qSpk6d2mx7cHCwJk2apA8//FC7du3SkiVLfJ802s2zltXV1aqtrW3xPLL2/Kzr1EfIPJc3qKqqavUEuUOHDkmSEhISrjpeWFiYbr311ibPa894uCzQ6/RtBQUFuv/++9XY2Ki1a9dqxowZ7ZtsN9ZR63To0CHt3bu3yUd5ebmky39xeR47f/58O1/B9S/Qa+R0OjV48GBJavUSMZ7HPee+4OoCvU4nTpzw/rm1Iyuek/m/+xuYuHYGDx7sPTWjIxqiUwdZdHS0kpKSJEkbNmxotr24uFgVFRWy2+3KyMho05j33ntvq+PV1dVp27ZtkqSJEyf6O+1upyPWSZK2bdumKVOm6OLFi1q7dq33rRX4J9DrVFBQIOvyxaWbfbz66quSpPT0dO9jHHW+uo74XvK8vd/aW5KeIzMjR470Z8rdUqDX6dsn6x84cKDFfd5//31JavUyG+h4ISEh+tnPfiap5XX/7LPPtG/fPkn/vzV84telaq+h1m5PUVlZ2ertKbZu3WoNHjzYSktLazbet2+d9Mc//tH7+MWLF723VODWSb4L9Dpt377dCgkJsWw2W5NbXKF9Ar1OreFK/f4L9BqdPXvWioiIsCRZL730UpNtf/3rX733Hd2+fXvHvKDrVKDXyXPl/x/84AfW8ePHm2x7/fXXvev0+uuvd8jr6S7acqX+NWvWWIMHD7YeeOCBZttKS0u9t07629/+5n28W9w6ybL+/z2+goODrbvuusu67777vDdwTU5ObnYDV88Pg4EDB7Y43ubNm703qb799tut//iP/+Dm4gEQqHU6c+aMZbfbLUlWdHS0NX369FY//L2Ja3cW6O+nlhBk7RPoNdqxY4fVs2dPS5L1wx/+0Jo0aZI1fPhw742WFy9efA1e1fUnkOv04YcfWlFRUZYkq2fPnlZqaqo1adIk64c//KF3naZNm8bBAh+VlpZat99+u/fD8984Ojq6yeNffPGF9zm//vWvLUnWj370oxbH/PbNxVNTU60pU6Z477F8Xd9c3GPTpk3WmDFjrLCwMCs0NNQaOnSolZOTY7nd7mb7tuUHyKFDh6yJEyda3/ve96yQkBBr4MCB1uOPP26dPn26A1/F9S8Q63T8+HHvX0BX+/juvyTRNoH+fmrtOQSZ/wK9RuXl5db06dOtAQMGWMHBwVbfvn2tjIwMq6ioqANfxfUvkOt0+vRpa8GCBda///u/Ww6HwwoKCrK+973vWT/96U+tTZs2dfAruT69++67Pv8suVqQWZZl7dy507rrrrusyMhIy263W7fddpuVlZVl1dTU+D1Xm2V960I1AAAAuOY69Un9AAAA3QFBBgAAYBhBBgAAYBhBBgAAYBhBBgAAYBhBBgAAYBhBBgAAYBhBBgAAYBhBBgAAYBhBBgAAYBhBBgAAYBhBBgAAYNj/A0WbNJHhDYM3AAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def buildNeighborhoodLattice(df, nRandomContacts=0):\n",
    "    sideLength = int(np.sqrt(len(df)))\n",
    "    N = np.array((df.index - sideLength) % len(df)).astype(int)\n",
    "    E = np.array(np.floor(df.index / sideLength)*sideLength + (df.index % sideLength + 1) % sideLength).astype(int)\n",
    "    S = np.array((df.index + sideLength) % len(df)).astype(int)\n",
    "    W = np.array(np.floor(df.index / sideLength)*sideLength + (df.index % sideLength - 1) % sideLength).astype(int)\n",
    "        \n",
    "    NE = np.array((E - sideLength) % len(df)).astype(int)\n",
    "    SE = np.array((E + sideLength) % len(df)).astype(int)\n",
    "    SW = np.array((W + sideLength) % len(df)).astype(int)\n",
    "    NW = np.array((W - sideLength) % len(df)).astype(int)\n",
    "    \n",
    "    res = [N,E,S,W,NE,SE,SW,NW]\n",
    "    \n",
    "    for i in range(0,nRandomContacts):\n",
    "        res.append(np.random.choice(df.index, len(df), replace=True))\n",
    "    \n",
    "    res = np.array(res).T\n",
    "    return dict(zip(df.index, res))\n",
    "\n",
    "def step(df, mode=\"random\", neighborhood=None):\n",
    "    nInfected = np.sum(df[\"state\"] == 1)\n",
    "    contacts = []\n",
    "    if mode==\"random\":\n",
    "        contacts = np.random.choice(df.index, _randomContacts * nInfected, replace=True)\n",
    "    elif mode==\"lattice\":\n",
    "        #Check that df can be organised in a square\n",
    "        assert np.floor(np.sqrt(len(df))) * np.floor(np.sqrt(len(df))) == len(df)\n",
    "                                                    \n",
    "        contacts = [neighborhood[i] for i in df[df[\"state\"] == 1].index]\n",
    "        contacts = np.array(contacts).flatten()\n",
    "\n",
    "    infect(df, contacts, _chanceOfInfection)\n",
    "    recover(df, _chanceOfRecovery)\n",
    "\n",
    "def simulate(df, stats, nSteps=100, mode=\"random\", nRandomContacts=0, plotLattice=False):\n",
    "    neighborhood = buildNeighborhoodLattice(df, nRandomContacts)\n",
    "    \n",
    "    fig, ax = plt.subplots()\n",
    "    fig.set_tight_layout(True)\n",
    "        \n",
    "    for i in tqdm(range(nSteps)):        \n",
    "        step(df, mode, neighborhood)\n",
    "        if plotLattice:\n",
    "            sideLength = int(np.sqrt(len(df)))\n",
    "            a = np.array(df[\"state\"] + df[\"state\"]*(2-df[\"state\"]) + df[\"state\"]/2*(1-df[\"state\"])).reshape(sideLength, sideLength)\n",
    "            plt.imshow(a)\n",
    "            plt.title(\"Time step {:03d}\".format(i))\n",
    "            plt.axis('off')\n",
    "            plt.savefig(\"gifs/tmp/{:03d}.png\".format(i))\n",
    "            #plt.show()\n",
    "            \n",
    "            \n",
    "        stats[\"nSusceptible\"].append(np.sum(df[\"state\"] == 0))    \n",
    "        stats[\"nInfected\"].append(np.sum(df[\"state\"] == 1))\n",
    "        stats[\"nRemoved\"].append(np.sum(df[\"state\"] == 2))\n",
    "\n",
    "_randomContacts=9\n",
    "_chanceOfInfection = 0.06\n",
    "\n",
    "_nSteps = 400\n",
    "\n",
    "x = np.linspace(0,_nSteps-1,_nSteps)\n",
    "allStats = []\n",
    "\n",
    "SIRModel = MathModel(_nAgents, _nPatientZero, _chanceOfInfection, _randomContacts, _daysCuredAfter)\n",
    "print(\"Simulate SIR Model\")\n",
    "for i in tqdm(range(_nSteps)):        \n",
    "    SIRModel.calculateStep()\n",
    "\n",
    "for iExp in range(_nExperiments):\n",
    "    print(\"Starting Experiment:\",iExp+1,\"/\",_nExperiments)\n",
    "    st = {\"nInfected\": [], \"nRemoved\": [], \"nSusceptible\": []}\n",
    "\n",
    "    df = init(_nAgents)\n",
    "\n",
    "    simulate(df, stats=st, nSteps=_nSteps, mode=\"lattice\", nRandomContacts=0, plotLattice=False)\n",
    "    \n",
    "    allStats.append(st)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "8177fa2d-0a76-4183-96f6-f5d28bc2abf6",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "medianStats, lowerStats, higherStats = calculateStats(allStats)\n",
    "plotSIR(x,medianStats, lowerStats, higherStats, SIRModel)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "f2ce0c3a-fa97-4b36-8b54-03bcd7f7edbb",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Math Model initialized with:\n",
      "Beta: 0.54\n",
      "Gamma: 0.1\n",
      "Simulate SIR Model\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|████████████████████████████████████████████████████████████████████████████████████████████████| 150/150 [00:00<00:00, 631038.72it/s]\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Starting Experiment: 1 / 10\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|███████████████████████████████████████████████████████████████████████████████████████████████████| 150/150 [00:00<00:00, 589.92it/s]\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Starting Experiment: 2 / 10\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|███████████████████████████████████████████████████████████████████████████████████████████████████| 150/150 [00:00<00:00, 615.10it/s]\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Starting Experiment: 3 / 10\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|███████████████████████████████████████████████████████████████████████████████████████████████████| 150/150 [00:00<00:00, 600.25it/s]\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Starting Experiment: 4 / 10\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|███████████████████████████████████████████████████████████████████████████████████████████████████| 150/150 [00:00<00:00, 884.66it/s]\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Starting Experiment: 5 / 10\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|███████████████████████████████████████████████████████████████████████████████████████████████████| 150/150 [00:00<00:00, 622.46it/s]\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Starting Experiment: 6 / 10\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|███████████████████████████████████████████████████████████████████████████████████████████████████| 150/150 [00:00<00:00, 581.04it/s]\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Starting Experiment: 7 / 10\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|███████████████████████████████████████████████████████████████████████████████████████████████████| 150/150 [00:00<00:00, 907.99it/s]\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Starting Experiment: 8 / 10\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|███████████████████████████████████████████████████████████████████████████████████████████████████| 150/150 [00:00<00:00, 593.87it/s]\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Starting Experiment: 9 / 10\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|███████████████████████████████████████████████████████████████████████████████████████████████████| 150/150 [00:00<00:00, 614.92it/s]\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Starting Experiment: 10 / 10\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|███████████████████████████████████████████████████████████████████████████████████████████████████| 150/150 [00:00<00:00, 613.20it/s]\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAmQAAAHDCAYAAACK4AZ3AAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjguMiwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8g+/7EAAAACXBIWXMAAA9hAAAPYQGoP6dpAAAr4ElEQVR4nO3df1TUdaL/8dckMOKMIMimrYDSj6N7V65HBLNAF8HdLbbjmqk3WVv7sZZaqVkdxY5nrz+OsB73B1qZ21q3bXNVUiiTXfzV8cTVFJHtdne9ZGlJpiYUww9zRPx8//DMfCNAmWHwDfJ8nMM5Mp/PvHlP75Cnn/nw+dgsy7IEAAAAY24wPQEAAIDujiADAAAwjCADAAAwjCADAAAwjCADAAAwjCADAAAwjCADAAAwjCADAAAwjCADAAAwzK8gKy8v15o1a/Tggw8qPj5eQUFBstlsWr58ebsms2vXLmVkZCgqKkqhoaEaMmSInnvuOdXV1bVrXAAAgM4syJ8nrV27Vrm5uQGdyO9//3vNnz9fNptNo0ePVr9+/fTee+9pxYoV2rJli4qLixUVFRXQrwkAANAZ+HWEbOjQoXrmmWf0xhtv6MiRI3rggQfaNYmysjI9/fTT6tGjh7Zv3669e/dq8+bN+uSTT5Senq7y8nLNnDmzXV8DAACgs/LrCNmvfvWrJp/fcEP7TkXLzs6WZVl66KGHdPfdd3sf79Wrl9avX6+bb75ZW7Zs0f/93/9pyJAh7fpaAAAAnY3xk/ovXLig7du3S5IyMzObbR84cKCSk5MlSfn5+dd0bgAAANeC8SD76KOPdO7cOUlSYmJii/t4Hi8rK7tm8wIAALhW/HrLMpCOHz8uSerTp4969+7d4j4xMTFN9m2J2+2W2+32fn7p0iV99dVX6tu3r2w2WwBnDAAArmeWZam2tlbf//73231aVlsZD7La2lpJksPhaHUfp9MpSaqpqWl1n+zsbC1ZsiSwkwMAAN1WRUWFoqOjr8nXMh5kgZKVlaX58+d7P3e5XIqNjVVFRYXCwsIMzgwAAHQlNTU1iomJafWdu45gPMg8L7a+vr7VfTwXhr1SWNntdtnt9maPh4WFEWQAAMBn1/KUJ+Mn9Q8aNEiSVF1d7X378rsqKiqa7AsAAHA9MR5kgwcPVq9evSRJhw4danEfz+MJCQnXbF4AAADXivEgCwkJ0c9+9jNJ0oYNG5pt/+yzz7Rv3z5J0r333ntN5wYAAHAtXLMge/755zVkyBD98pe/bLZt4cKFstlsevXVV/X3v//d+/i5c+f0yCOPqLGxUffddx9X6QcAANclv07qP3z4sGbPnu39/JNPPpEkrVu3Tu+884738fz8fN10002SpMrKSpWXl6t///7NxktISNBvf/tbzZ8/XxkZGfrRj36kG2+8Ue+9955OnTqlwYMH66WXXvJnqgAAAJ2eX0FWU1OjAwcONHv8888/1+eff+79/NsXar2ap556SvHx8frtb3+rgwcPqr6+XrGxscrKylJWVtY1/dVTAACAa8lmWZZlehIdoaamRuHh4XK5XFz2AgAAtJmJhjB+Uj8AAEB3R5ABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAY1q4gy8vLU2pqqiIiIuRwODRs2DCtXLlSDQ0NPo9VX1+v7OxsJSYmKiwsTMHBwerfv7/uuecevf322+2ZJgAAQKdmsyzL8ueJ8+bNU25uroKCgpSWlian06k9e/aourpaKSkp2rFjh0JDQ9s0VlVVlcaMGaN//etfcjqduvPOO9WnTx99/PHHOnz4sCRpzpw5ys3NbfP8ampqFB4eLpfLpbCwMH9eIgAA6IZMNIRfR8gKCgqUm5srp9OpAwcOqKioSFu2bNHRo0cVHx+v4uJiLV68uM3jLV26VP/61780YsQIffbZZyoqKtKmTZtUWlqq7du3KygoSKtXr9b777/vz3QBAAA6Nb+CbMWKFZKkhQsXKiEhwft4VFSUXnzxRUnS888/L5fL1abx9uzZI0lasGCBIiMjm2zLyMjQ2LFjJUn79+/3Z7oAAACdms9BdvLkSZWUlEiSMjMzm21PSUlRTEyM3G63CgsL2zRmz54927RfVFRU2ycKAADQRfgcZGVlZZKkyMhIxcXFtbhPYmJik32v5u6775Yk/eY3v9FXX33VZFthYaHeffdd9e/fX+PHj/d1ugAAAJ1ekK9POH78uCQpNja21X1iYmKa7Hs1CxYs0MGDB1VUVKSBAwcqOTnZe1J/aWmpkpOTtX79eoWHh7c6htvtltvt9n5eU1PTpq8NAABgms9HyGprayVJDoej1X2cTqektkeRw+HQtm3b9Mwzz6i+vr7JSf19+/bVuHHjNGDAgCuOkZ2drfDwcO+HJwoBAAA6u05xYdhTp04pOTlZa9as0fLly3Xs2DHV1dXp4MGDGjFihJYsWaKUlBRvDLYkKytLLpfL+1FRUXENXwEAAID/fA6y3r17S7p8IdfW1NXVSVKbr90xffp0lZSUaNmyZVq0aJHi4uLkcDiUlJSkd955R/Hx8frggw+0atWqVsew2+0KCwtr8gEAANAV+BxkgwYNkqQrHoHybPPseyUnT57Uzp07JUlTp05ttj04OFiTJk2SJO3atcvH2QIAAHR+PgfZ8OHDJV2+un5rJ+0fOnRIkppco6w1J06c8P65taNanpP5v/sbmAAAANcDn4MsOjpaSUlJkqQNGzY0215cXKyKigrZ7XZlZGRcdbxvn6x/4MCBFvfxXKG/tctsAAAAdGV+ndS/aNEiSVJOTo73XpPS5aNms2fPliQ98cQTTS5TkZ+fryFDhig9Pb3JWLGxsd7Amzt3rj799NMm2//yl79o06ZNklq+EC0AAEBX5/N1yCRpwoQJmjNnjlavXq1Ro0YpPT1dDodDu3fvVnV1tZKTk7Vs2bImz3G5XCovL9f58+ebjffKK69o7NixOnLkiH7wgx9o1KhRioqK0pEjR/TPf/5TkjRt2jT94he/8Ge6AAAAnZpfQSZJubm5Sk5O1gsvvKB9+/apoaFBt9xyixYuXKinnnpKISEhbR5r6NCh+t///V/9/ve/19/+9jeVlJTI7XYrIiJCP/3pT/Xwww9rypQp/k4VAACgU7NZlmWZnkRHqKmpUXh4uFwuF5fAAAAAbWaiITrFhWEBAAC6M4IMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAsHYFWV5enlJTUxURESGHw6Fhw4Zp5cqVamho8HvMt956S+PHj1f//v0VEhKiG2+8UXfeeaeWLl3anqkCAAB0WjbLsix/njhv3jzl5uYqKChIaWlpcjqd2rNnj6qrq5WSkqIdO3YoNDS0zeNduHBB06ZNU15enkJDQ3XHHXeoX79+On36tP75z3+qsbFRlZWVbR6vpqZG4eHhcrlcCgsL8+clAgCAbshEQwT586SCggLl5ubK6XRq7969SkhIkCRVVlYqLS1NxcXFWrx4sVatWtXmMWfMmKG8vDxNmDBBL7/8sqKiorzbLl26pIMHD/ozVQAAgE7PryNkI0eOVElJiZYvX67nnnuuybbi4mKNHj1adrtdZ86cUXh4+FXH2717t8aNG6ehQ4fq8OHDCg4O9nVKzXCEDAAA+MNEQ/h8DtnJkydVUlIiScrMzGy2PSUlRTExMXK73SosLGzTmGvWrJF0+W3QQMQYAABAV+LzW5ZlZWWSpMjISMXFxbW4T2JioioqKlRWVqapU6decbzGxkbt3r1bkjRmzBidPn1aGzduVHl5uex2u4YPH6777rtPTqfT16kCAAB0CT4H2fHjxyVJsbGxre4TExPTZN8rOXbsmOrq6iRJ77//vmbPnu393OPZZ5/Vxo0blZaW1uo4brdbbrfb+3lNTc1VvzYAAEBn4PNblrW1tZIkh8PR6j6eo1ltiaKqqirvnx955BGNGDFCJSUlqq2t1T/+8Q9lZGTo7Nmz+vnPf66jR4+2Ok52drbCw8O9H54oBAAA6OyMXxj2279TMGDAABUVFSkxMVFOp1PDhg3T22+/raFDh6qurk45OTmtjpOVlSWXy+X9qKiouBbTBwAAaDefg6x3796SpPr6+lb38bzl2JbfTPCMJ0kPPvig7HZ7k+09evTQY489JknatWtXq+PY7XaFhYU1+QAAAOgKfA6yQYMGSdIVj0B5tnn2vdp4NptNknTzzTe3uI/n8VOnTvkwUwAAgK7B5yAbPny4pMvnfrV20v6hQ4ckyXvB2CtxOp0aPHiwJLV6JX7P4/ymJQAAuB75HGTR0dFKSkqSJG3YsKHZ9uLiYlVUVMhutysjI6NNY06ePFlS629J7ty5U9LlC9ICAABcb/w6qX/RokWSpJycHB0+fNj7eFVVlWbPni1JeuKJJ5pcpT8/P19DhgxRenp6s/HmzJmjiIgIFRYWat26dU22bdy4UW+88YZ3PwAAgOuNX0E2YcIEzZkzR3V1dRo1apTuvvtuTZo0Sbfeeqs+/PBDJScna9myZU2e43K5VF5erk8++aTZeFFRUdq0aZN69uypmTNnaujQoZo8ebISEhI0depUWZalxYsXt/mIGwAAQFfi92UvcnNztWnTJt1xxx3at2+fCgsLFR0drZycHO3Zs0ehoaE+jffjH/9YH3zwgaZPn67q6mq99dZbOnHihDIyMlRUVKSlS5f6O1UAAIBOza+bi3cF3FwcAAD4o0vcXBwAAACBRZABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAY1q4gy8vLU2pqqiIiIuRwODRs2DCtXLlSDQ0N7Z5YYWGhbDabbDabxo0b1+7xAAAAOiu/g2zevHmaMmWK/vu//1sjR47UXXfdpRMnTmjBggVKS0vTN9984/ekvv76a82YMUM2m83vMQAAALoKv4KsoKBAubm5cjqdOnDggIqKirRlyxYdPXpU8fHxKi4u1uLFi/2e1JNPPqkzZ85o5syZfo8BAADQVfgVZCtWrJAkLVy4UAkJCd7Ho6Ki9OKLL0qSnn/+eblcLp/Hzs/P1xtvvKH58+dr5MiR/kwPAACgS/E5yE6ePKmSkhJJUmZmZrPtKSkpiomJkdvtVmFhoU9jV1ZWaubMmRo8eLCWLl3q69QAAAC6JJ+DrKysTJIUGRmpuLi4FvdJTExssm9bzZo1S5WVlVq/fr169uzp69QAAAC6pCBfn3D8+HFJUmxsbKv7xMTENNm3LTZu3Kg333xTc+fOVXJysq/Tktvtltvt9n5eU1Pj8xgAAAAm+HyErLa2VpLkcDha3cfpdEpqexSdPn1ajz/+uG655Rbv+Wm+ys7OVnh4uPfDE4UAAACdXae4MOyjjz6qr7/+Wn/605/Uq1cvv8bIysqSy+XyflRUVAR4lgAAAB3D57cse/fuLUmqr69vdZ+6ujpJUlhY2FXHe+2117Rt2zbNmjVLqampvk7Hy263y263+/18AAAAU3wOskGDBknSFY9AebZ59r2S/Px8SVJJSUmzIDt9+rQkqbS01Ltt48aN6t+/v2+TBgAA6MR8DrLhw4dLkqqqqnT8+PEWf9Py0KFDktTkGmVX43lOS6qrq7V3715J0vnz532ZLgAAQKfn8zlk0dHRSkpKkiRt2LCh2fbi4mJVVFTIbrcrIyPjquMVFBTIsqwWP1599VVJUnp6uvexthx1AwAA6Er8Oql/0aJFkqScnBwdPnzY+3hVVZVmz54tSXriiScUHh7u3Zafn68hQ4YoPT29PfMFAAC47vj8lqUkTZgwQXPmzNHq1as1atQopaeny+FwaPfu3aqurlZycrKWLVvW5Dkul0vl5eW85QgAAPAdfl/2Ijc3V5s2bdIdd9yhffv2qbCwUNHR0crJydGePXsUGhoayHkCAABct2yWZVmmJ9ERampqFB4eLpfL1abLbwAAAEhmGqJTXBgWAACgOyPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADGtXkOXl5Sk1NVURERFyOBwaNmyYVq5cqYaGBp/GKSsrU3Z2ttLT09WvXz8FBwcrIiJCo0eP1gsvvODzeAAAAF2JzbIsy58nzps3T7m5uQoKClJaWpqcTqf27Nmj6upqpaSkaMeOHQoNDb3qOBcvXlRwcLAkyel0KikpSf369dPnn3+u/fv3q7GxUSNHjlRRUZH69OnT5vnV1NQoPDxcLpdLYWFh/rxEAADQDZloCL+OkBUUFCg3N1dOp1MHDhxQUVGRtmzZoqNHjyo+Pl7FxcVavHhxm8cbMWKENm/erMrKSu3Zs0d//etf9d5776msrEw33XSTDh48qPnz5/szVQAAgE7PryNkI0eOVElJiZYvX67nnnuuybbi4mKNHj1adrtdZ86cUXh4eLsm+Je//EUPPPCAQkND5XK5vEfTroYjZAAAwB9d4gjZyZMnVVJSIknKzMxstj0lJUUxMTFyu90qLCxs9wSHDx8uSfrmm29UWVnZ7vEAAAA6G5+DrKysTJIUGRmpuLi4FvdJTExssm97HD16VJIUEhKiyMjIdo8HAADQ2QT5+oTjx49LkmJjY1vdJyYmpsm+/rIsSytXrpQk3XPPPbLb7a3u63a75Xa7vZ/X1NS062sDAABcKz4fIautrZUkORyOVvdxOp2S2h9FS5Ys0f79++V0OpWTk3PFfbOzsxUeHu798EQhAABAZ9dpLwz75z//WUuXLtUNN9ygV155RbfddtsV98/KypLL5fJ+VFRUXKOZAgAAtI/Pb1n27t1bklRfX9/qPnV1dZLk928m5OXl6eGHH5Ykvfzyy5o8efJVn2O326/4liYAAEBn5fMRskGDBknSFY9AebZ59vXF1q1blZmZqUuXLmndunXeMAMAALhe+RxknstQVFVVtXrS/qFDhyRJCQkJPo1dUFCg+++/X42NjVq7dq1mzJjh6/QAAAC6HJ+DLDo6WklJSZKkDRs2NNteXFysiooK2e12ZWRktHncbdu2acqUKbp48aLWrl2rxx57zNepAQAAdEl+ndS/aNEiSVJOTo4OHz7sfbyqqkqzZ8+WJD3xxBNNrtKfn5+vIUOGKD09vdl4hYWFmjRpki5evKiXXnqJGAMAAN2Kzyf1S9KECRM0Z84crV69WqNGjVJ6erocDod2796t6upqJScna9myZU2e43K5VF5ervPnzzd5/Msvv9TEiRN14cIFRUdHa9++fdq3b1+LX3fVqlWKioryZ8oAAACdll9BJkm5ublKTk7WCy+8oH379qmhoUG33HKLFi5cqKeeekohISFtGufcuXPeC7p+/vnneu2111rd9z//8z8JMgAAcN3x6+biXQE3FwcAAP7oEjcXBwAAQGARZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIa1K8jy8vKUmpqqiIgIORwODRs2TCtXrlRDQ4Nf45WWlmry5Mnq16+fevbsqbi4OD355JP68ssv2zNNAACATs1mWZblzxPnzZun3NxcBQUFKS0tTU6nU3v27FF1dbVSUlK0Y8cOhYaGtnm8N998U1OnTtXFixeVlJSkuLg4HTp0SMeOHVO/fv1UXFysW2+9tc3j1dTUKDw8XC6XS2FhYf68RAAA0A2ZaAi/jpAVFBQoNzdXTqdTBw4cUFFRkbZs2aKjR48qPj5excXFWrx4cZvH++KLLzR9+nRdvHhR69at08GDB7Vp0yZ99NFHmjZtms6cOaPMzEz52Y4AAACdml9BtmLFCknSwoULlZCQ4H08KipKL774oiTp+eefl8vlatN4f/jDH3Tu3DmNGzdOjz76qPfxHj16aO3atQoPD1dJSYl27Njhz3QBAAA6NZ+D7OTJkyopKZEkZWZmNtuekpKimJgYud1uFRYWtmnM/Pz8VsdzOp0aP368JGnr1q2+ThcAAKDT8znIysrKJEmRkZGKi4trcZ/ExMQm+15JbW2tPv744ybPa894AAAAXU2Qr084fvy4JCk2NrbVfWJiYprseyWffvqp98+tjdmW8dxut9xut/dzz9ulNTU1V50DAACAh6cdruW56z4HWW1trSTJ4XC0uo/T6ZTUthjyjHelMdsyXnZ2tpYsWdLscU/MAQAA+KKqqkrh4eHX5Gv5HGSdVVZWlubPn+/9vLq6WgMHDtSJEyeu2X9M+K6mpkYxMTGqqKjg8iSdGOvUNbBOnR9r1DW4XC7FxsYqMjLymn1Nn4Osd+/ekqT6+vpW96mrq5OkNv3P5hnPM2ZL8dSW8ex2u+x2e7PHw8PD+Z++CwgLC2OdugDWqWtgnTo/1qhruOGGa3dDI5+/0qBBgyRJFRUVre7j2ebZ90oGDhzo/fOJEyfaPR4AAEBX43OQDR8+XNLl91VbO8n+0KFDktTkGmWtCQsL816B3/O89owHAADQ1fgcZNHR0UpKSpIkbdiwodn24uJiVVRUyG63KyMjo01j3nvvva2OV1dXp23btkmSJk6c2OZ52u12/frXv27xbUx0HqxT18A6dQ2sU+fHGnUNJtbJr3tZFhQU6N5775XT6dTevXu9R66qqqo0duxYffjhh3r66ae1atUq73Py8/OVlZWlAQMGaPfu3U3G++KLL3Tbbbfp3Llz+uMf/6gZM2ZIkhobG/XQQw/p9ddfV1JSkg4cOCCbzdae1wsAANDp+H1z8blz52r16tUKDg5Wenq6HA6Hdu/ererqaiUnJ2vnzp1Nbi7+X//1X3rooYc0cODAJtce88jLy9PUqVPV2Nio22+/XYMGDVJJSYnfNxcHAADoKvz+9YHc3Fxt2rRJd9xxh/bt26fCwkJFR0crJydHe/bsaRJjbTF58mQdOHBAEydO1LFjx5Sfn6/GxkY9/vjj+uCDD4gxAABw3fL7CBkAAAAC49pdYAMAAAAt6jJBlpeXp9TUVEVERMjhcGjYsGFauXKlGhoa/BqvtLRUkydPVr9+/dSzZ0/FxcXpySef1JdffhngmXcvgVqnsrIyZWdnKz09Xf369VNwcLAiIiI0evRovfDCC36vOy4L9PfTtxUWFspms8lms2ncuHEBmG331BFr9NZbb2n8+PHq37+/QkJCdOONN+rOO+/U0qVLAzjz7iWQ61RfX6/s7GwlJiYqLCxMwcHB6t+/v+655x69/fbbHTD76195ebnWrFmjBx98UPHx8QoKCpLNZtPy5cvbNe6uXbuUkZGhqKgohYaGasiQIXruuee8F7L3i9UFzJ0715JkBQUFWT/5yU+siRMnWn369LEkWSkpKda5c+d8Gi8vL88KCgqyJFlJSUnWlClTrJtvvtmSZPXr1886evRoB72S61ug1qmhocGSZEmynE6nNXbsWOv++++3UlJSrB49eliSrJEjR1pff/11x76g61Sgv5++7auvvrK+//3vWzabzZJkpaenB3Dm3Ueg18jtdluTJ0+2JFmhoaFWWlqaNXXqVGvs2LHWjTfeaPXt27eDXsn1LZDrVFlZaf3bv/2b9++9n/zkJ9aUKVOshIQE79+Hc+bM6cBXc33yrNF3P5YtW+b3mL/73e8sSZbNZrPGjBljTZ482erfv78lyRo8eLB19uxZv8bt9EGWn5/v/R+0tLTU+/jZs2et+Ph4S5L19NNPt3m8kydPWr169bIkWevWrfM+fvHiRWvatGneSLt06VJAX8f1LpDr1NDQYI0YMcLavHmzdf78+Sbb/ud//se66aabLEnWQw89FNDX0B0E+vvpu37xi19YPXr0sGbNmkWQ+akj1uiXv/ylJcmaMGFCsx8WjY2N1v79+wMy9+4k0Os0Z84cS5I1YsQIq6qqqsm27du3ew8isFa+efnll61nnnnGeuONN6wjR45YDzzwQLuC7PDhw5bNZrN69OhhFRYWeh+vr6+30tPTLUnWfffd59fYnT7IkpKSLEnW8uXLm2177733LEmW3W63qqur2zTes88+a0myxo0b12xbbW2tFR4ebkmy/v73v7d77t1JoNfpSl5//XXvv/QvXLjQ7vG6k45cp61bt1qSrGeffdZ69dVXCTI/BXqNdu3aZUmyhg4dyvdLAAV6nYYOHWpJsjZv3tzi9h//+MeWJOt3v/tdu+bd3U2fPr1dQeY50vyrX/2q2bZPP/3UuuGGGyxJ1pEjR3weu1OfQ3by5EmVlJRIkjIzM5ttT0lJUUxMjNxutwoLC9s0Zn5+fqvjOZ1OjR8/XpK0detWf6fd7XTEOl2J5/Zd33zzjSorK9s9XnfRketUWVmpmTNnavDgwZyP1A4dsUZr1qyRJM2bN0/BwcGBm2w31hHr1LNnzzbtFxUV1faJIqAuXLig7du3S2p53QcOHKjk5GRJ/781fNGpg6ysrEySFBkZqbi4uBb3SUxMbLLvldTW1urjjz9u8rz2jIfLAr1OV3P06FFJUkhIiCIjI9s9XnfRkes0a9YsVVZWav369W3+wYLmAr1GjY2N3jujjBkzRqdPn9Yf/vAHzZo1S/PmzdNrr73WvpOQu6mO+F66++67JUm/+c1v9NVXXzXZVlhYqHfffVf9+/f3HjTAtffRRx/p3LlzkjqmIYL8n1rH89y8PDY2ttV9YmJimux7Jd++Q0BrY/oyHi4L9DpdiWVZWrlypSTpnnvu4X5wPuioddq4caPefPNNzZ071/uvQ/gn0Gt07Ngxb3C9//77mj17drMAe/bZZ7Vx40alpaX5O+1upyO+lxYsWKCDBw+qqKjIe6SlT58++vjjj1VaWqrk5GStX79e4eHh7X8B8ItnLfv06aPevXu3uE97ftZ16iNktbW1kiSHw9HqPk6nU5JUU1PT5vGuNKYv4+GyQK/TlSxZskT79++X0+lUTk5Ou8bqbjpinU6fPq3HH39ct9xyi1asWNH+SXZzgV6jqqoq758feeQRjRgxQiUlJaqtrdU//vEPZWRk6OzZs/r5z3/uPfKMq+uI7yWHw6Ft27bpmWeeUX19vYqKirRp0yaVlpaqb9++GjdunAYMGND+ycNvHf2zrlMHGfBtf/7zn7V06VLdcMMNeuWVV3TbbbeZnlK39+ijj+rrr7/Wn/70J/Xq1cv0dPAd1rduxDJgwAAVFRUpMTFRTqdTw4YN09tvv62hQ4eqrq6Of+AYdurUKSUnJ2vNmjVavny59+jmwYMHNWLECC1ZskQpKSlNDizg+tKpg8xzSLC+vr7VfTyH38PCwto83pXG9GU8XBbodWpJXl6eHn74YUnSyy+/rMmTJ/s1TncW6HV67bXXtG3bNs2cOVOpqakBmWN315F/5z344IPN3uLv0aOHHnvsMUmXL3SJtumIv/OmT5+ukpISLVu2TIsWLVJcXJwcDoeSkpL0zjvvKD4+Xh988IFWrVrV/hcAv3T0z7pOfQ7ZoEGDJEkVFRWt7uPZ5tn3SgYOHOj984kTJxQfH9+u8XBZoNfpu7Zu3arMzExdunRJ69at84YZfBPodfL8FlFJSUmzIDt9+rSky3fE8GzbuHGj+vfv79uku5lAr9GgQYNks9lkWZZuvvnmFvfxPH7q1CnfJtuNBXqdTp48qZ07d0qSpk6d2mx7cHCwJk2apA8//FC7du3SkiVLfJ802s2zltXV1aqtrW3xPLL2/Kzr1EfIPJc3qKqqavUEuUOHDkmSEhISrjpeWFiYbr311ibPa894uCzQ6/RtBQUFuv/++9XY2Ki1a9dqxowZ7ZtsN9ZR63To0CHt3bu3yUd5ebmky39xeR47f/58O1/B9S/Qa+R0OjV48GBJavUSMZ7HPee+4OoCvU4nTpzw/rm1Iyuek/m/+xuYuHYGDx7sPTWjIxqiUwdZdHS0kpKSJEkbNmxotr24uFgVFRWy2+3KyMho05j33ntvq+PV1dVp27ZtkqSJEyf6O+1upyPWSZK2bdumKVOm6OLFi1q7dq33rRX4J9DrVFBQIOvyxaWbfbz66quSpPT0dO9jHHW+uo74XvK8vd/aW5KeIzMjR470Z8rdUqDX6dsn6x84cKDFfd5//31JavUyG+h4ISEh+tnPfiap5XX/7LPPtG/fPkn/vzV84telaq+h1m5PUVlZ2ertKbZu3WoNHjzYSktLazbet2+d9Mc//tH7+MWLF723VODWSb4L9Dpt377dCgkJsWw2W5NbXKF9Ar1OreFK/f4L9BqdPXvWioiIsCRZL730UpNtf/3rX733Hd2+fXvHvKDrVKDXyXPl/x/84AfW8ePHm2x7/fXXvev0+uuvd8jr6S7acqX+NWvWWIMHD7YeeOCBZttKS0u9t07629/+5n28W9w6ybL+/z2+goODrbvuusu67777vDdwTU5ObnYDV88Pg4EDB7Y43ubNm703qb799tut//iP/+Dm4gEQqHU6c+aMZbfbLUlWdHS0NX369FY//L2Ja3cW6O+nlhBk7RPoNdqxY4fVs2dPS5L1wx/+0Jo0aZI1fPhw742WFy9efA1e1fUnkOv04YcfWlFRUZYkq2fPnlZqaqo1adIk64c//KF3naZNm8bBAh+VlpZat99+u/fD8984Ojq6yeNffPGF9zm//vWvLUnWj370oxbH/PbNxVNTU60pU6Z477F8Xd9c3GPTpk3WmDFjrLCwMCs0NNQaOnSolZOTY7nd7mb7tuUHyKFDh6yJEyda3/ve96yQkBBr4MCB1uOPP26dPn26A1/F9S8Q63T8+HHvX0BX+/juvyTRNoH+fmrtOQSZ/wK9RuXl5db06dOtAQMGWMHBwVbfvn2tjIwMq6ioqANfxfUvkOt0+vRpa8GCBda///u/Ww6HwwoKCrK+973vWT/96U+tTZs2dfAruT69++67Pv8suVqQWZZl7dy507rrrrusyMhIy263W7fddpuVlZVl1dTU+D1Xm2V960I1AAAAuOY69Un9AAAA3QFBBgAAYBhBBgAAYBhBBgAAYBhBBgAAYBhBBgAAYBhBBgAAYBhBBgAAYBhBBgAAYBhBBgAAYBhBBgAAYBhBBgAAYNj/A0WbNJHhDYM3AAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAmQAAAHDCAYAAACK4AZ3AAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjguMiwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8g+/7EAAAACXBIWXMAAA9hAAAPYQGoP6dpAAAr4ElEQVR4nO3df1TUdaL/8dckMOKMIMimrYDSj6N7V65HBLNAF8HdLbbjmqk3WVv7sZZaqVkdxY5nrz+OsB73B1qZ21q3bXNVUiiTXfzV8cTVFJHtdne9ZGlJpiYUww9zRPx8//DMfCNAmWHwDfJ8nMM5Mp/PvHlP75Cnn/nw+dgsy7IEAAAAY24wPQEAAIDujiADAAAwjCADAAAwjCADAAAwjCADAAAwjCADAAAwjCADAAAwjCADAAAwjCADAAAwzK8gKy8v15o1a/Tggw8qPj5eQUFBstlsWr58ebsms2vXLmVkZCgqKkqhoaEaMmSInnvuOdXV1bVrXAAAgM4syJ8nrV27Vrm5uQGdyO9//3vNnz9fNptNo0ePVr9+/fTee+9pxYoV2rJli4qLixUVFRXQrwkAANAZ+HWEbOjQoXrmmWf0xhtv6MiRI3rggQfaNYmysjI9/fTT6tGjh7Zv3669e/dq8+bN+uSTT5Senq7y8nLNnDmzXV8DAACgs/LrCNmvfvWrJp/fcEP7TkXLzs6WZVl66KGHdPfdd3sf79Wrl9avX6+bb75ZW7Zs0f/93/9pyJAh7fpaAAAAnY3xk/ovXLig7du3S5IyMzObbR84cKCSk5MlSfn5+dd0bgAAANeC8SD76KOPdO7cOUlSYmJii/t4Hi8rK7tm8wIAALhW/HrLMpCOHz8uSerTp4969+7d4j4xMTFN9m2J2+2W2+32fn7p0iV99dVX6tu3r2w2WwBnDAAArmeWZam2tlbf//73231aVlsZD7La2lpJksPhaHUfp9MpSaqpqWl1n+zsbC1ZsiSwkwMAAN1WRUWFoqOjr8nXMh5kgZKVlaX58+d7P3e5XIqNjVVFRYXCwsIMzgwAAHQlNTU1iomJafWdu45gPMg8L7a+vr7VfTwXhr1SWNntdtnt9maPh4WFEWQAAMBn1/KUJ+Mn9Q8aNEiSVF1d7X378rsqKiqa7AsAAHA9MR5kgwcPVq9evSRJhw4danEfz+MJCQnXbF4AAADXivEgCwkJ0c9+9jNJ0oYNG5pt/+yzz7Rv3z5J0r333ntN5wYAAHAtXLMge/755zVkyBD98pe/bLZt4cKFstlsevXVV/X3v//d+/i5c+f0yCOPqLGxUffddx9X6QcAANclv07qP3z4sGbPnu39/JNPPpEkrVu3Tu+884738fz8fN10002SpMrKSpWXl6t///7NxktISNBvf/tbzZ8/XxkZGfrRj36kG2+8Ue+9955OnTqlwYMH66WXXvJnqgAAAJ2eX0FWU1OjAwcONHv8888/1+eff+79/NsXar2ap556SvHx8frtb3+rgwcPqr6+XrGxscrKylJWVtY1/dVTAACAa8lmWZZlehIdoaamRuHh4XK5XFz2AgAAtJmJhjB+Uj8AAEB3R5ABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAY1q4gy8vLU2pqqiIiIuRwODRs2DCtXLlSDQ0NPo9VX1+v7OxsJSYmKiwsTMHBwerfv7/uuecevf322+2ZJgAAQKdmsyzL8ueJ8+bNU25uroKCgpSWlian06k9e/aourpaKSkp2rFjh0JDQ9s0VlVVlcaMGaN//etfcjqduvPOO9WnTx99/PHHOnz4sCRpzpw5ys3NbfP8ampqFB4eLpfLpbCwMH9eIgAA6IZMNIRfR8gKCgqUm5srp9OpAwcOqKioSFu2bNHRo0cVHx+v4uJiLV68uM3jLV26VP/61780YsQIffbZZyoqKtKmTZtUWlqq7du3KygoSKtXr9b777/vz3QBAAA6Nb+CbMWKFZKkhQsXKiEhwft4VFSUXnzxRUnS888/L5fL1abx9uzZI0lasGCBIiMjm2zLyMjQ2LFjJUn79+/3Z7oAAACdms9BdvLkSZWUlEiSMjMzm21PSUlRTEyM3G63CgsL2zRmz54927RfVFRU2ycKAADQRfgcZGVlZZKkyMhIxcXFtbhPYmJik32v5u6775Yk/eY3v9FXX33VZFthYaHeffdd9e/fX+PHj/d1ugAAAJ1ekK9POH78uCQpNja21X1iYmKa7Hs1CxYs0MGDB1VUVKSBAwcqOTnZe1J/aWmpkpOTtX79eoWHh7c6htvtltvt9n5eU1PTpq8NAABgms9HyGprayVJDoej1X2cTqektkeRw+HQtm3b9Mwzz6i+vr7JSf19+/bVuHHjNGDAgCuOkZ2drfDwcO+HJwoBAAA6u05xYdhTp04pOTlZa9as0fLly3Xs2DHV1dXp4MGDGjFihJYsWaKUlBRvDLYkKytLLpfL+1FRUXENXwEAAID/fA6y3r17S7p8IdfW1NXVSVKbr90xffp0lZSUaNmyZVq0aJHi4uLkcDiUlJSkd955R/Hx8frggw+0atWqVsew2+0KCwtr8gEAANAV+BxkgwYNkqQrHoHybPPseyUnT57Uzp07JUlTp05ttj04OFiTJk2SJO3atcvH2QIAAHR+PgfZ8OHDJV2+un5rJ+0fOnRIkppco6w1J06c8P65taNanpP5v/sbmAAAANcDn4MsOjpaSUlJkqQNGzY0215cXKyKigrZ7XZlZGRcdbxvn6x/4MCBFvfxXKG/tctsAAAAdGV+ndS/aNEiSVJOTo73XpPS5aNms2fPliQ98cQTTS5TkZ+fryFDhig9Pb3JWLGxsd7Amzt3rj799NMm2//yl79o06ZNklq+EC0AAEBX5/N1yCRpwoQJmjNnjlavXq1Ro0YpPT1dDodDu3fvVnV1tZKTk7Vs2bImz3G5XCovL9f58+ebjffKK69o7NixOnLkiH7wgx9o1KhRioqK0pEjR/TPf/5TkjRt2jT94he/8Ge6AAAAnZpfQSZJubm5Sk5O1gsvvKB9+/apoaFBt9xyixYuXKinnnpKISEhbR5r6NCh+t///V/9/ve/19/+9jeVlJTI7XYrIiJCP/3pT/Xwww9rypQp/k4VAACgU7NZlmWZnkRHqKmpUXh4uFwuF5fAAAAAbWaiITrFhWEBAAC6M4IMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAsHYFWV5enlJTUxURESGHw6Fhw4Zp5cqVamho8HvMt956S+PHj1f//v0VEhKiG2+8UXfeeaeWLl3anqkCAAB0WjbLsix/njhv3jzl5uYqKChIaWlpcjqd2rNnj6qrq5WSkqIdO3YoNDS0zeNduHBB06ZNU15enkJDQ3XHHXeoX79+On36tP75z3+qsbFRlZWVbR6vpqZG4eHhcrlcCgsL8+clAgCAbshEQwT586SCggLl5ubK6XRq7969SkhIkCRVVlYqLS1NxcXFWrx4sVatWtXmMWfMmKG8vDxNmDBBL7/8sqKiorzbLl26pIMHD/ozVQAAgE7PryNkI0eOVElJiZYvX67nnnuuybbi4mKNHj1adrtdZ86cUXh4+FXH2717t8aNG6ehQ4fq8OHDCg4O9nVKzXCEDAAA+MNEQ/h8DtnJkydVUlIiScrMzGy2PSUlRTExMXK73SosLGzTmGvWrJF0+W3QQMQYAABAV+LzW5ZlZWWSpMjISMXFxbW4T2JioioqKlRWVqapU6decbzGxkbt3r1bkjRmzBidPn1aGzduVHl5uex2u4YPH6777rtPTqfT16kCAAB0CT4H2fHjxyVJsbGxre4TExPTZN8rOXbsmOrq6iRJ77//vmbPnu393OPZZ5/Vxo0blZaW1uo4brdbbrfb+3lNTc1VvzYAAEBn4PNblrW1tZIkh8PR6j6eo1ltiaKqqirvnx955BGNGDFCJSUlqq2t1T/+8Q9lZGTo7Nmz+vnPf66jR4+2Ok52drbCw8O9H54oBAAA6OyMXxj2279TMGDAABUVFSkxMVFOp1PDhg3T22+/raFDh6qurk45OTmtjpOVlSWXy+X9qKiouBbTBwAAaDefg6x3796SpPr6+lb38bzl2JbfTPCMJ0kPPvig7HZ7k+09evTQY489JknatWtXq+PY7XaFhYU1+QAAAOgKfA6yQYMGSdIVj0B5tnn2vdp4NptNknTzzTe3uI/n8VOnTvkwUwAAgK7B5yAbPny4pMvnfrV20v6hQ4ckyXvB2CtxOp0aPHiwJLV6JX7P4/ymJQAAuB75HGTR0dFKSkqSJG3YsKHZ9uLiYlVUVMhutysjI6NNY06ePFlS629J7ty5U9LlC9ICAABcb/w6qX/RokWSpJycHB0+fNj7eFVVlWbPni1JeuKJJ5pcpT8/P19DhgxRenp6s/HmzJmjiIgIFRYWat26dU22bdy4UW+88YZ3PwAAgOuNX0E2YcIEzZkzR3V1dRo1apTuvvtuTZo0Sbfeeqs+/PBDJScna9myZU2e43K5VF5erk8++aTZeFFRUdq0aZN69uypmTNnaujQoZo8ebISEhI0depUWZalxYsXt/mIGwAAQFfi92UvcnNztWnTJt1xxx3at2+fCgsLFR0drZycHO3Zs0ehoaE+jffjH/9YH3zwgaZPn67q6mq99dZbOnHihDIyMlRUVKSlS5f6O1UAAIBOza+bi3cF3FwcAAD4o0vcXBwAAACBRZABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAY1q4gy8vLU2pqqiIiIuRwODRs2DCtXLlSDQ0N7Z5YYWGhbDabbDabxo0b1+7xAAAAOiu/g2zevHmaMmWK/vu//1sjR47UXXfdpRMnTmjBggVKS0vTN9984/ekvv76a82YMUM2m83vMQAAALoKv4KsoKBAubm5cjqdOnDggIqKirRlyxYdPXpU8fHxKi4u1uLFi/2e1JNPPqkzZ85o5syZfo8BAADQVfgVZCtWrJAkLVy4UAkJCd7Ho6Ki9OKLL0qSnn/+eblcLp/Hzs/P1xtvvKH58+dr5MiR/kwPAACgS/E5yE6ePKmSkhJJUmZmZrPtKSkpiomJkdvtVmFhoU9jV1ZWaubMmRo8eLCWLl3q69QAAAC6JJ+DrKysTJIUGRmpuLi4FvdJTExssm9bzZo1S5WVlVq/fr169uzp69QAAAC6pCBfn3D8+HFJUmxsbKv7xMTENNm3LTZu3Kg333xTc+fOVXJysq/Tktvtltvt9n5eU1Pj8xgAAAAm+HyErLa2VpLkcDha3cfpdEpqexSdPn1ajz/+uG655Rbv+Wm+ys7OVnh4uPfDE4UAAACdXae4MOyjjz6qr7/+Wn/605/Uq1cvv8bIysqSy+XyflRUVAR4lgAAAB3D57cse/fuLUmqr69vdZ+6ujpJUlhY2FXHe+2117Rt2zbNmjVLqampvk7Hy263y263+/18AAAAU3wOskGDBknSFY9AebZ59r2S/Px8SVJJSUmzIDt9+rQkqbS01Ltt48aN6t+/v2+TBgAA6MR8DrLhw4dLkqqqqnT8+PEWf9Py0KFDktTkGmVX43lOS6qrq7V3715J0vnz532ZLgAAQKfn8zlk0dHRSkpKkiRt2LCh2fbi4mJVVFTIbrcrIyPjquMVFBTIsqwWP1599VVJUnp6uvexthx1AwAA6Er8Oql/0aJFkqScnBwdPnzY+3hVVZVmz54tSXriiScUHh7u3Zafn68hQ4YoPT29PfMFAAC47vj8lqUkTZgwQXPmzNHq1as1atQopaeny+FwaPfu3aqurlZycrKWLVvW5Dkul0vl5eW85QgAAPAdfl/2Ijc3V5s2bdIdd9yhffv2qbCwUNHR0crJydGePXsUGhoayHkCAABct2yWZVmmJ9ERampqFB4eLpfL1abLbwAAAEhmGqJTXBgWAACgOyPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADGtXkOXl5Sk1NVURERFyOBwaNmyYVq5cqYaGBp/GKSsrU3Z2ttLT09WvXz8FBwcrIiJCo0eP1gsvvODzeAAAAF2JzbIsy58nzps3T7m5uQoKClJaWpqcTqf27Nmj6upqpaSkaMeOHQoNDb3qOBcvXlRwcLAkyel0KikpSf369dPnn3+u/fv3q7GxUSNHjlRRUZH69OnT5vnV1NQoPDxcLpdLYWFh/rxEAADQDZloCL+OkBUUFCg3N1dOp1MHDhxQUVGRtmzZoqNHjyo+Pl7FxcVavHhxm8cbMWKENm/erMrKSu3Zs0d//etf9d5776msrEw33XSTDh48qPnz5/szVQAAgE7PryNkI0eOVElJiZYvX67nnnuuybbi4mKNHj1adrtdZ86cUXh4eLsm+Je//EUPPPCAQkND5XK5vEfTroYjZAAAwB9d4gjZyZMnVVJSIknKzMxstj0lJUUxMTFyu90qLCxs9wSHDx8uSfrmm29UWVnZ7vEAAAA6G5+DrKysTJIUGRmpuLi4FvdJTExssm97HD16VJIUEhKiyMjIdo8HAADQ2QT5+oTjx49LkmJjY1vdJyYmpsm+/rIsSytXrpQk3XPPPbLb7a3u63a75Xa7vZ/X1NS062sDAABcKz4fIautrZUkORyOVvdxOp2S2h9FS5Ys0f79++V0OpWTk3PFfbOzsxUeHu798EQhAABAZ9dpLwz75z//WUuXLtUNN9ygV155RbfddtsV98/KypLL5fJ+VFRUXKOZAgAAtI/Pb1n27t1bklRfX9/qPnV1dZLk928m5OXl6eGHH5Ykvfzyy5o8efJVn2O326/4liYAAEBn5fMRskGDBknSFY9AebZ59vXF1q1blZmZqUuXLmndunXeMAMAALhe+RxknstQVFVVtXrS/qFDhyRJCQkJPo1dUFCg+++/X42NjVq7dq1mzJjh6/QAAAC6HJ+DLDo6WklJSZKkDRs2NNteXFysiooK2e12ZWRktHncbdu2acqUKbp48aLWrl2rxx57zNepAQAAdEl+ndS/aNEiSVJOTo4OHz7sfbyqqkqzZ8+WJD3xxBNNrtKfn5+vIUOGKD09vdl4hYWFmjRpki5evKiXXnqJGAMAAN2Kzyf1S9KECRM0Z84crV69WqNGjVJ6erocDod2796t6upqJScna9myZU2e43K5VF5ervPnzzd5/Msvv9TEiRN14cIFRUdHa9++fdq3b1+LX3fVqlWKioryZ8oAAACdll9BJkm5ublKTk7WCy+8oH379qmhoUG33HKLFi5cqKeeekohISFtGufcuXPeC7p+/vnneu2111rd9z//8z8JMgAAcN3x6+biXQE3FwcAAP7oEjcXBwAAQGARZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIa1K8jy8vKUmpqqiIgIORwODRs2TCtXrlRDQ4Nf45WWlmry5Mnq16+fevbsqbi4OD355JP68ssv2zNNAACATs1mWZblzxPnzZun3NxcBQUFKS0tTU6nU3v27FF1dbVSUlK0Y8cOhYaGtnm8N998U1OnTtXFixeVlJSkuLg4HTp0SMeOHVO/fv1UXFysW2+9tc3j1dTUKDw8XC6XS2FhYf68RAAA0A2ZaAi/jpAVFBQoNzdXTqdTBw4cUFFRkbZs2aKjR48qPj5excXFWrx4cZvH++KLLzR9+nRdvHhR69at08GDB7Vp0yZ99NFHmjZtms6cOaPMzEz52Y4AAACdml9BtmLFCknSwoULlZCQ4H08KipKL774oiTp+eefl8vlatN4f/jDH3Tu3DmNGzdOjz76qPfxHj16aO3atQoPD1dJSYl27Njhz3QBAAA6NZ+D7OTJkyopKZEkZWZmNtuekpKimJgYud1uFRYWtmnM/Pz8VsdzOp0aP368JGnr1q2+ThcAAKDT8znIysrKJEmRkZGKi4trcZ/ExMQm+15JbW2tPv744ybPa894AAAAXU2Qr084fvy4JCk2NrbVfWJiYprseyWffvqp98+tjdmW8dxut9xut/dzz9ulNTU1V50DAACAh6cdruW56z4HWW1trSTJ4XC0uo/T6ZTUthjyjHelMdsyXnZ2tpYsWdLscU/MAQAA+KKqqkrh4eHX5Gv5HGSdVVZWlubPn+/9vLq6WgMHDtSJEyeu2X9M+K6mpkYxMTGqqKjg8iSdGOvUNbBOnR9r1DW4XC7FxsYqMjLymn1Nn4Osd+/ekqT6+vpW96mrq5OkNv3P5hnPM2ZL8dSW8ex2u+x2e7PHw8PD+Z++CwgLC2OdugDWqWtgnTo/1qhruOGGa3dDI5+/0qBBgyRJFRUVre7j2ebZ90oGDhzo/fOJEyfaPR4AAEBX43OQDR8+XNLl91VbO8n+0KFDktTkGmWtCQsL816B3/O89owHAADQ1fgcZNHR0UpKSpIkbdiwodn24uJiVVRUyG63KyMjo01j3nvvva2OV1dXp23btkmSJk6c2OZ52u12/frXv27xbUx0HqxT18A6dQ2sU+fHGnUNJtbJr3tZFhQU6N5775XT6dTevXu9R66qqqo0duxYffjhh3r66ae1atUq73Py8/OVlZWlAQMGaPfu3U3G++KLL3Tbbbfp3Llz+uMf/6gZM2ZIkhobG/XQQw/p9ddfV1JSkg4cOCCbzdae1wsAANDp+H1z8blz52r16tUKDg5Wenq6HA6Hdu/ererqaiUnJ2vnzp1Nbi7+X//1X3rooYc0cODAJtce88jLy9PUqVPV2Nio22+/XYMGDVJJSYnfNxcHAADoKvz+9YHc3Fxt2rRJd9xxh/bt26fCwkJFR0crJydHe/bsaRJjbTF58mQdOHBAEydO1LFjx5Sfn6/GxkY9/vjj+uCDD4gxAABw3fL7CBkAAAAC49pdYAMAAAAt6jJBlpeXp9TUVEVERMjhcGjYsGFauXKlGhoa/BqvtLRUkydPVr9+/dSzZ0/FxcXpySef1JdffhngmXcvgVqnsrIyZWdnKz09Xf369VNwcLAiIiI0evRovfDCC36vOy4L9PfTtxUWFspms8lms2ncuHEBmG331BFr9NZbb2n8+PHq37+/QkJCdOONN+rOO+/U0qVLAzjz7iWQ61RfX6/s7GwlJiYqLCxMwcHB6t+/v+655x69/fbbHTD76195ebnWrFmjBx98UPHx8QoKCpLNZtPy5cvbNe6uXbuUkZGhqKgohYaGasiQIXruuee8F7L3i9UFzJ0715JkBQUFWT/5yU+siRMnWn369LEkWSkpKda5c+d8Gi8vL88KCgqyJFlJSUnWlClTrJtvvtmSZPXr1886evRoB72S61ug1qmhocGSZEmynE6nNXbsWOv++++3UlJSrB49eliSrJEjR1pff/11x76g61Sgv5++7auvvrK+//3vWzabzZJkpaenB3Dm3Ueg18jtdluTJ0+2JFmhoaFWWlqaNXXqVGvs2LHWjTfeaPXt27eDXsn1LZDrVFlZaf3bv/2b9++9n/zkJ9aUKVOshIQE79+Hc+bM6cBXc33yrNF3P5YtW+b3mL/73e8sSZbNZrPGjBljTZ482erfv78lyRo8eLB19uxZv8bt9EGWn5/v/R+0tLTU+/jZs2et+Ph4S5L19NNPt3m8kydPWr169bIkWevWrfM+fvHiRWvatGneSLt06VJAX8f1LpDr1NDQYI0YMcLavHmzdf78+Sbb/ud//se66aabLEnWQw89FNDX0B0E+vvpu37xi19YPXr0sGbNmkWQ+akj1uiXv/ylJcmaMGFCsx8WjY2N1v79+wMy9+4k0Os0Z84cS5I1YsQIq6qqqsm27du3ew8isFa+efnll61nnnnGeuONN6wjR45YDzzwQLuC7PDhw5bNZrN69OhhFRYWeh+vr6+30tPTLUnWfffd59fYnT7IkpKSLEnW8uXLm2177733LEmW3W63qqur2zTes88+a0myxo0b12xbbW2tFR4ebkmy/v73v7d77t1JoNfpSl5//XXvv/QvXLjQ7vG6k45cp61bt1qSrGeffdZ69dVXCTI/BXqNdu3aZUmyhg4dyvdLAAV6nYYOHWpJsjZv3tzi9h//+MeWJOt3v/tdu+bd3U2fPr1dQeY50vyrX/2q2bZPP/3UuuGGGyxJ1pEjR3weu1OfQ3by5EmVlJRIkjIzM5ttT0lJUUxMjNxutwoLC9s0Zn5+fqvjOZ1OjR8/XpK0detWf6fd7XTEOl2J5/Zd33zzjSorK9s9XnfRketUWVmpmTNnavDgwZyP1A4dsUZr1qyRJM2bN0/BwcGBm2w31hHr1LNnzzbtFxUV1faJIqAuXLig7du3S2p53QcOHKjk5GRJ/781fNGpg6ysrEySFBkZqbi4uBb3SUxMbLLvldTW1urjjz9u8rz2jIfLAr1OV3P06FFJUkhIiCIjI9s9XnfRkes0a9YsVVZWav369W3+wYLmAr1GjY2N3jujjBkzRqdPn9Yf/vAHzZo1S/PmzdNrr73WvpOQu6mO+F66++67JUm/+c1v9NVXXzXZVlhYqHfffVf9+/f3HjTAtffRRx/p3LlzkjqmIYL8n1rH89y8PDY2ttV9YmJimux7Jd++Q0BrY/oyHi4L9DpdiWVZWrlypSTpnnvu4X5wPuioddq4caPefPNNzZ071/uvQ/gn0Gt07Ngxb3C9//77mj17drMAe/bZZ7Vx40alpaX5O+1upyO+lxYsWKCDBw+qqKjIe6SlT58++vjjj1VaWqrk5GStX79e4eHh7X8B8ItnLfv06aPevXu3uE97ftZ16iNktbW1kiSHw9HqPk6nU5JUU1PT5vGuNKYv4+GyQK/TlSxZskT79++X0+lUTk5Ou8bqbjpinU6fPq3HH39ct9xyi1asWNH+SXZzgV6jqqoq758feeQRjRgxQiUlJaqtrdU//vEPZWRk6OzZs/r5z3/uPfKMq+uI7yWHw6Ft27bpmWeeUX19vYqKirRp0yaVlpaqb9++GjdunAYMGND+ycNvHf2zrlMHGfBtf/7zn7V06VLdcMMNeuWVV3TbbbeZnlK39+ijj+rrr7/Wn/70J/Xq1cv0dPAd1rduxDJgwAAVFRUpMTFRTqdTw4YN09tvv62hQ4eqrq6Of+AYdurUKSUnJ2vNmjVavny59+jmwYMHNWLECC1ZskQpKSlNDizg+tKpg8xzSLC+vr7VfTyH38PCwto83pXG9GU8XBbodWpJXl6eHn74YUnSyy+/rMmTJ/s1TncW6HV67bXXtG3bNs2cOVOpqakBmWN315F/5z344IPN3uLv0aOHHnvsMUmXL3SJtumIv/OmT5+ukpISLVu2TIsWLVJcXJwcDoeSkpL0zjvvKD4+Xh988IFWrVrV/hcAv3T0z7pOfQ7ZoEGDJEkVFRWt7uPZ5tn3SgYOHOj984kTJxQfH9+u8XBZoNfpu7Zu3arMzExdunRJ69at84YZfBPodfL8FlFJSUmzIDt9+rSky3fE8GzbuHGj+vfv79uku5lAr9GgQYNks9lkWZZuvvnmFvfxPH7q1CnfJtuNBXqdTp48qZ07d0qSpk6d2mx7cHCwJk2apA8//FC7du3SkiVLfJ802s2zltXV1aqtrW3xPLL2/Kzr1EfIPJc3qKqqavUEuUOHDkmSEhISrjpeWFiYbr311ibPa894uCzQ6/RtBQUFuv/++9XY2Ki1a9dqxowZ7ZtsN9ZR63To0CHt3bu3yUd5ebmky39xeR47f/58O1/B9S/Qa+R0OjV48GBJavUSMZ7HPee+4OoCvU4nTpzw/rm1Iyuek/m/+xuYuHYGDx7sPTWjIxqiUwdZdHS0kpKSJEkbNmxotr24uFgVFRWy2+3KyMho05j33ntvq+PV1dVp27ZtkqSJEyf6O+1upyPWSZK2bdumKVOm6OLFi1q7dq33rRX4J9DrVFBQIOvyxaWbfbz66quSpPT0dO9jHHW+uo74XvK8vd/aW5KeIzMjR470Z8rdUqDX6dsn6x84cKDFfd5//31JavUyG+h4ISEh+tnPfiap5XX/7LPPtG/fPkn/vzV84telaq+h1m5PUVlZ2ertKbZu3WoNHjzYSktLazbet2+d9Mc//tH7+MWLF723VODWSb4L9Dpt377dCgkJsWw2W5NbXKF9Ar1OreFK/f4L9BqdPXvWioiIsCRZL730UpNtf/3rX733Hd2+fXvHvKDrVKDXyXPl/x/84AfW8ePHm2x7/fXXvev0+uuvd8jr6S7acqX+NWvWWIMHD7YeeOCBZttKS0u9t07629/+5n28W9w6ybL+/z2+goODrbvuusu67777vDdwTU5ObnYDV88Pg4EDB7Y43ubNm703qb799tut//iP/+Dm4gEQqHU6c+aMZbfbLUlWdHS0NX369FY//L2Ja3cW6O+nlhBk7RPoNdqxY4fVs2dPS5L1wx/+0Jo0aZI1fPhw742WFy9efA1e1fUnkOv04YcfWlFRUZYkq2fPnlZqaqo1adIk64c//KF3naZNm8bBAh+VlpZat99+u/fD8984Ojq6yeNffPGF9zm//vWvLUnWj370oxbH/PbNxVNTU60pU6Z477F8Xd9c3GPTpk3WmDFjrLCwMCs0NNQaOnSolZOTY7nd7mb7tuUHyKFDh6yJEyda3/ve96yQkBBr4MCB1uOPP26dPn26A1/F9S8Q63T8+HHvX0BX+/juvyTRNoH+fmrtOQSZ/wK9RuXl5db06dOtAQMGWMHBwVbfvn2tjIwMq6ioqANfxfUvkOt0+vRpa8GCBda///u/Ww6HwwoKCrK+973vWT/96U+tTZs2dfAruT69++67Pv8suVqQWZZl7dy507rrrrusyMhIy263W7fddpuVlZVl1dTU+D1Xm2V960I1AAAAuOY69Un9AAAA3QFBBgAAYBhBBgAAYBhBBgAAYBhBBgAAYBhBBgAAYBhBBgAAYBhBBgAAYBhBBgAAYBhBBgAAYBhBBgAAYBhBBgAAYNj/A0WbNJHhDYM3AAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAmQAAAHDCAYAAACK4AZ3AAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjguMiwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8g+/7EAAAACXBIWXMAAA9hAAAPYQGoP6dpAAAr4ElEQVR4nO3df1TUdaL/8dckMOKMIMimrYDSj6N7V65HBLNAF8HdLbbjmqk3WVv7sZZaqVkdxY5nrz+OsB73B1qZ21q3bXNVUiiTXfzV8cTVFJHtdne9ZGlJpiYUww9zRPx8//DMfCNAmWHwDfJ8nMM5Mp/PvHlP75Cnn/nw+dgsy7IEAAAAY24wPQEAAIDujiADAAAwjCADAAAwjCADAAAwjCADAAAwjCADAAAwjCADAAAwjCADAAAwjCADAAAwzK8gKy8v15o1a/Tggw8qPj5eQUFBstlsWr58ebsms2vXLmVkZCgqKkqhoaEaMmSInnvuOdXV1bVrXAAAgM4syJ8nrV27Vrm5uQGdyO9//3vNnz9fNptNo0ePVr9+/fTee+9pxYoV2rJli4qLixUVFRXQrwkAANAZ+HWEbOjQoXrmmWf0xhtv6MiRI3rggQfaNYmysjI9/fTT6tGjh7Zv3669e/dq8+bN+uSTT5Senq7y8nLNnDmzXV8DAACgs/LrCNmvfvWrJp/fcEP7TkXLzs6WZVl66KGHdPfdd3sf79Wrl9avX6+bb75ZW7Zs0f/93/9pyJAh7fpaAAAAnY3xk/ovXLig7du3S5IyMzObbR84cKCSk5MlSfn5+dd0bgAAANeC8SD76KOPdO7cOUlSYmJii/t4Hi8rK7tm8wIAALhW/HrLMpCOHz8uSerTp4969+7d4j4xMTFN9m2J2+2W2+32fn7p0iV99dVX6tu3r2w2WwBnDAAArmeWZam2tlbf//73231aVlsZD7La2lpJksPhaHUfp9MpSaqpqWl1n+zsbC1ZsiSwkwMAAN1WRUWFoqOjr8nXMh5kgZKVlaX58+d7P3e5XIqNjVVFRYXCwsIMzgwAAHQlNTU1iomJafWdu45gPMg8L7a+vr7VfTwXhr1SWNntdtnt9maPh4WFEWQAAMBn1/KUJ+Mn9Q8aNEiSVF1d7X378rsqKiqa7AsAAHA9MR5kgwcPVq9evSRJhw4danEfz+MJCQnXbF4AAADXivEgCwkJ0c9+9jNJ0oYNG5pt/+yzz7Rv3z5J0r333ntN5wYAAHAtXLMge/755zVkyBD98pe/bLZt4cKFstlsevXVV/X3v//d+/i5c+f0yCOPqLGxUffddx9X6QcAANclv07qP3z4sGbPnu39/JNPPpEkrVu3Tu+884738fz8fN10002SpMrKSpWXl6t///7NxktISNBvf/tbzZ8/XxkZGfrRj36kG2+8Ue+9955OnTqlwYMH66WXXvJnqgAAAJ2eX0FWU1OjAwcONHv8888/1+eff+79/NsXar2ap556SvHx8frtb3+rgwcPqr6+XrGxscrKylJWVtY1/dVTAACAa8lmWZZlehIdoaamRuHh4XK5XFz2AgAAtJmJhjB+Uj8AAEB3R5ABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAY1q4gy8vLU2pqqiIiIuRwODRs2DCtXLlSDQ0NPo9VX1+v7OxsJSYmKiwsTMHBwerfv7/uuecevf322+2ZJgAAQKdmsyzL8ueJ8+bNU25uroKCgpSWlian06k9e/aourpaKSkp2rFjh0JDQ9s0VlVVlcaMGaN//etfcjqduvPOO9WnTx99/PHHOnz4sCRpzpw5ys3NbfP8ampqFB4eLpfLpbCwMH9eIgAA6IZMNIRfR8gKCgqUm5srp9OpAwcOqKioSFu2bNHRo0cVHx+v4uJiLV68uM3jLV26VP/61780YsQIffbZZyoqKtKmTZtUWlqq7du3KygoSKtXr9b777/vz3QBAAA6Nb+CbMWKFZKkhQsXKiEhwft4VFSUXnzxRUnS888/L5fL1abx9uzZI0lasGCBIiMjm2zLyMjQ2LFjJUn79+/3Z7oAAACdms9BdvLkSZWUlEiSMjMzm21PSUlRTEyM3G63CgsL2zRmz54927RfVFRU2ycKAADQRfgcZGVlZZKkyMhIxcXFtbhPYmJik32v5u6775Yk/eY3v9FXX33VZFthYaHeffdd9e/fX+PHj/d1ugAAAJ1ekK9POH78uCQpNja21X1iYmKa7Hs1CxYs0MGDB1VUVKSBAwcqOTnZe1J/aWmpkpOTtX79eoWHh7c6htvtltvt9n5eU1PTpq8NAABgms9HyGprayVJDoej1X2cTqektkeRw+HQtm3b9Mwzz6i+vr7JSf19+/bVuHHjNGDAgCuOkZ2drfDwcO+HJwoBAAA6u05xYdhTp04pOTlZa9as0fLly3Xs2DHV1dXp4MGDGjFihJYsWaKUlBRvDLYkKytLLpfL+1FRUXENXwEAAID/fA6y3r17S7p8IdfW1NXVSVKbr90xffp0lZSUaNmyZVq0aJHi4uLkcDiUlJSkd955R/Hx8frggw+0atWqVsew2+0KCwtr8gEAANAV+BxkgwYNkqQrHoHybPPseyUnT57Uzp07JUlTp05ttj04OFiTJk2SJO3atcvH2QIAAHR+PgfZ8OHDJV2+un5rJ+0fOnRIkppco6w1J06c8P65taNanpP5v/sbmAAAANcDn4MsOjpaSUlJkqQNGzY0215cXKyKigrZ7XZlZGRcdbxvn6x/4MCBFvfxXKG/tctsAAAAdGV+ndS/aNEiSVJOTo73XpPS5aNms2fPliQ98cQTTS5TkZ+fryFDhig9Pb3JWLGxsd7Amzt3rj799NMm2//yl79o06ZNklq+EC0AAEBX5/N1yCRpwoQJmjNnjlavXq1Ro0YpPT1dDodDu3fvVnV1tZKTk7Vs2bImz3G5XCovL9f58+ebjffKK69o7NixOnLkiH7wgx9o1KhRioqK0pEjR/TPf/5TkjRt2jT94he/8Ge6AAAAnZpfQSZJubm5Sk5O1gsvvKB9+/apoaFBt9xyixYuXKinnnpKISEhbR5r6NCh+t///V/9/ve/19/+9jeVlJTI7XYrIiJCP/3pT/Xwww9rypQp/k4VAACgU7NZlmWZnkRHqKmpUXh4uFwuF5fAAAAAbWaiITrFhWEBAAC6M4IMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAMIIMAADAsHYFWV5enlJTUxURESGHw6Fhw4Zp5cqVamho8HvMt956S+PHj1f//v0VEhKiG2+8UXfeeaeWLl3anqkCAAB0WjbLsix/njhv3jzl5uYqKChIaWlpcjqd2rNnj6qrq5WSkqIdO3YoNDS0zeNduHBB06ZNU15enkJDQ3XHHXeoX79+On36tP75z3+qsbFRlZWVbR6vpqZG4eHhcrlcCgsL8+clAgCAbshEQwT586SCggLl5ubK6XRq7969SkhIkCRVVlYqLS1NxcXFWrx4sVatWtXmMWfMmKG8vDxNmDBBL7/8sqKiorzbLl26pIMHD/ozVQAAgE7PryNkI0eOVElJiZYvX67nnnuuybbi4mKNHj1adrtdZ86cUXh4+FXH2717t8aNG6ehQ4fq8OHDCg4O9nVKzXCEDAAA+MNEQ/h8DtnJkydVUlIiScrMzGy2PSUlRTExMXK73SosLGzTmGvWrJF0+W3QQMQYAABAV+LzW5ZlZWWSpMjISMXFxbW4T2JioioqKlRWVqapU6decbzGxkbt3r1bkjRmzBidPn1aGzduVHl5uex2u4YPH6777rtPTqfT16kCAAB0CT4H2fHjxyVJsbGxre4TExPTZN8rOXbsmOrq6iRJ77//vmbPnu393OPZZ5/Vxo0blZaW1uo4brdbbrfb+3lNTc1VvzYAAEBn4PNblrW1tZIkh8PR6j6eo1ltiaKqqirvnx955BGNGDFCJSUlqq2t1T/+8Q9lZGTo7Nmz+vnPf66jR4+2Ok52drbCw8O9H54oBAAA6OyMXxj2279TMGDAABUVFSkxMVFOp1PDhg3T22+/raFDh6qurk45OTmtjpOVlSWXy+X9qKiouBbTBwAAaDefg6x3796SpPr6+lb38bzl2JbfTPCMJ0kPPvig7HZ7k+09evTQY489JknatWtXq+PY7XaFhYU1+QAAAOgKfA6yQYMGSdIVj0B5tnn2vdp4NptNknTzzTe3uI/n8VOnTvkwUwAAgK7B5yAbPny4pMvnfrV20v6hQ4ckyXvB2CtxOp0aPHiwJLV6JX7P4/ymJQAAuB75HGTR0dFKSkqSJG3YsKHZ9uLiYlVUVMhutysjI6NNY06ePFlS629J7ty5U9LlC9ICAABcb/w6qX/RokWSpJycHB0+fNj7eFVVlWbPni1JeuKJJ5pcpT8/P19DhgxRenp6s/HmzJmjiIgIFRYWat26dU22bdy4UW+88YZ3PwAAgOuNX0E2YcIEzZkzR3V1dRo1apTuvvtuTZo0Sbfeeqs+/PBDJScna9myZU2e43K5VF5erk8++aTZeFFRUdq0aZN69uypmTNnaujQoZo8ebISEhI0depUWZalxYsXt/mIGwAAQFfi92UvcnNztWnTJt1xxx3at2+fCgsLFR0drZycHO3Zs0ehoaE+jffjH/9YH3zwgaZPn67q6mq99dZbOnHihDIyMlRUVKSlS5f6O1UAAIBOza+bi3cF3FwcAAD4o0vcXBwAAACBRZABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAYRpABAAAY1q4gy8vLU2pqqiIiIuRwODRs2DCtXLlSDQ0N7Z5YYWGhbDabbDabxo0b1+7xAAAAOiu/g2zevHmaMmWK/vu//1sjR47UXXfdpRMnTmjBggVKS0vTN9984/ekvv76a82YMUM2m83vMQAAALoKv4KsoKBAubm5cjqdOnDggIqKirRlyxYdPXpU8fHxKi4u1uLFi/2e1JNPPqkzZ85o5syZfo8BAADQVfgVZCtWrJAkLVy4UAkJCd7Ho6Ki9OKLL0qSnn/+eblcLp/Hzs/P1xtvvKH58+dr5MiR/kwPAACgS/E5yE6ePKmSkhJJUmZmZrPtKSkpiomJkdvtVmFhoU9jV1ZWaubMmRo8eLCWLl3q69QAAAC6JJ+DrKysTJIUGRmpuLi4FvdJTExssm9bzZo1S5WVlVq/fr169uzp69QAAAC6pCBfn3D8+HFJUmxsbKv7xMTENNm3LTZu3Kg333xTc+fOVXJysq/Tktvtltvt9n5eU1Pj8xgAAAAm+HyErLa2VpLkcDha3cfpdEpqexSdPn1ajz/+uG655Rbv+Wm+ys7OVnh4uPfDE4UAAACdXae4MOyjjz6qr7/+Wn/605/Uq1cvv8bIysqSy+XyflRUVAR4lgAAAB3D57cse/fuLUmqr69vdZ+6ujpJUlhY2FXHe+2117Rt2zbNmjVLqampvk7Hy263y263+/18AAAAU3wOskGDBknSFY9AebZ59r2S/Px8SVJJSUmzIDt9+rQkqbS01Ltt48aN6t+/v2+TBgAA6MR8DrLhw4dLkqqqqnT8+PEWf9Py0KFDktTkGmVX43lOS6qrq7V3715J0vnz532ZLgAAQKfn8zlk0dHRSkpKkiRt2LCh2fbi4mJVVFTIbrcrIyPjquMVFBTIsqwWP1599VVJUnp6uvexthx1AwAA6Er8Oql/0aJFkqScnBwdPnzY+3hVVZVmz54tSXriiScUHh7u3Zafn68hQ4YoPT29PfMFAAC47vj8lqUkTZgwQXPmzNHq1as1atQopaeny+FwaPfu3aqurlZycrKWLVvW5Dkul0vl5eW85QgAAPAdfl/2Ijc3V5s2bdIdd9yhffv2qbCwUNHR0crJydGePXsUGhoayHkCAABct2yWZVmmJ9ERampqFB4eLpfL1abLbwAAAEhmGqJTXBgWAACgOyPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADCPIAAAADGtXkOXl5Sk1NVURERFyOBwaNmyYVq5cqYaGBp/GKSsrU3Z2ttLT09WvXz8FBwcrIiJCo0eP1gsvvODzeAAAAF2JzbIsy58nzps3T7m5uQoKClJaWpqcTqf27Nmj6upqpaSkaMeOHQoNDb3qOBcvXlRwcLAkyel0KikpSf369dPnn3+u/fv3q7GxUSNHjlRRUZH69OnT5vnV1NQoPDxcLpdLYWFh/rxEAADQDZloCL+OkBUUFCg3N1dOp1MHDhxQUVGRtmzZoqNHjyo+Pl7FxcVavHhxm8cbMWKENm/erMrKSu3Zs0d//etf9d5776msrEw33XSTDh48qPnz5/szVQAAgE7PryNkI0eOVElJiZYvX67nnnuuybbi4mKNHj1adrtdZ86cUXh4eLsm+Je//EUPPPCAQkND5XK5vEfTroYjZAAAwB9d4gjZyZMnVVJSIknKzMxstj0lJUUxMTFyu90qLCxs9wSHDx8uSfrmm29UWVnZ7vEAAAA6G5+DrKysTJIUGRmpuLi4FvdJTExssm97HD16VJIUEhKiyMjIdo8HAADQ2QT5+oTjx49LkmJjY1vdJyYmpsm+/rIsSytXrpQk3XPPPbLb7a3u63a75Xa7vZ/X1NS062sDAABcKz4fIautrZUkORyOVvdxOp2S2h9FS5Ys0f79++V0OpWTk3PFfbOzsxUeHu798EQhAABAZ9dpLwz75z//WUuXLtUNN9ygV155RbfddtsV98/KypLL5fJ+VFRUXKOZAgAAtI/Pb1n27t1bklRfX9/qPnV1dZLk928m5OXl6eGHH5Ykvfzyy5o8efJVn2O326/4liYAAEBn5fMRskGDBknSFY9AebZ59vXF1q1blZmZqUuXLmndunXeMAMAALhe+RxknstQVFVVtXrS/qFDhyRJCQkJPo1dUFCg+++/X42NjVq7dq1mzJjh6/QAAAC6HJ+DLDo6WklJSZKkDRs2NNteXFysiooK2e12ZWRktHncbdu2acqUKbp48aLWrl2rxx57zNepAQAAdEl+ndS/aNEiSVJOTo4OHz7sfbyqqkqzZ8+WJD3xxBNNrtKfn5+vIUOGKD09vdl4hYWFmjRpki5evKiXXnqJGAMAAN2Kzyf1S9KECRM0Z84crV69WqNGjVJ6erocDod2796t6upqJScna9myZU2e43K5VF5ervPnzzd5/Msvv9TEiRN14cIFRUdHa9++fdq3b1+LX3fVqlWKioryZ8oAAACdll9BJkm5ublKTk7WCy+8oH379qmhoUG33HKLFi5cqKeeekohISFtGufcuXPeC7p+/vnneu2111rd9z//8z8JMgAAcN3x6+biXQE3FwcAAP7oEjcXBwAAQGARZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIYRZAAAAIa1K8jy8vKUmpqqiIgIORwODRs2TCtXrlRDQ4Nf45WWlmry5Mnq16+fevbsqbi4OD355JP68ssv2zNNAACATs1mWZblzxPnzZun3NxcBQUFKS0tTU6nU3v27FF1dbVSUlK0Y8cOhYaGtnm8N998U1OnTtXFixeVlJSkuLg4HTp0SMeOHVO/fv1UXFysW2+9tc3j1dTUKDw8XC6XS2FhYf68RAAA0A2ZaAi/jpAVFBQoNzdXTqdTBw4cUFFRkbZs2aKjR48qPj5excXFWrx4cZvH++KLLzR9+nRdvHhR69at08GDB7Vp0yZ99NFHmjZtms6cOaPMzEz52Y4AAACdml9BtmLFCknSwoULlZCQ4H08KipKL774oiTp+eefl8vlatN4f/jDH3Tu3DmNGzdOjz76qPfxHj16aO3atQoPD1dJSYl27Njhz3QBAAA6NZ+D7OTJkyopKZEkZWZmNtuekpKimJgYud1uFRYWtmnM/Pz8VsdzOp0aP368JGnr1q2+ThcAAKDT8znIysrKJEmRkZGKi4trcZ/ExMQm+15JbW2tPv744ybPa894AAAAXU2Qr084fvy4JCk2NrbVfWJiYprseyWffvqp98+tjdmW8dxut9xut/dzz9ulNTU1V50DAACAh6cdruW56z4HWW1trSTJ4XC0uo/T6ZTUthjyjHelMdsyXnZ2tpYsWdLscU/MAQAA+KKqqkrh4eHX5Gv5HGSdVVZWlubPn+/9vLq6WgMHDtSJEyeu2X9M+K6mpkYxMTGqqKjg8iSdGOvUNbBOnR9r1DW4XC7FxsYqMjLymn1Nn4Osd+/ekqT6+vpW96mrq5OkNv3P5hnPM2ZL8dSW8ex2u+x2e7PHw8PD+Z++CwgLC2OdugDWqWtgnTo/1qhruOGGa3dDI5+/0qBBgyRJFRUVre7j2ebZ90oGDhzo/fOJEyfaPR4AAEBX43OQDR8+XNLl91VbO8n+0KFDktTkGmWtCQsL816B3/O89owHAADQ1fgcZNHR0UpKSpIkbdiwodn24uJiVVRUyG63KyMjo01j3nvvva2OV1dXp23btkmSJk6c2OZ52u12/frXv27xbUx0HqxT18A6dQ2sU+fHGnUNJtbJr3tZFhQU6N5775XT6dTevXu9R66qqqo0duxYffjhh3r66ae1atUq73Py8/OVlZWlAQMGaPfu3U3G++KLL3Tbbbfp3Llz+uMf/6gZM2ZIkhobG/XQQw/p9ddfV1JSkg4cOCCbzdae1wsAANDp+H1z8blz52r16tUKDg5Wenq6HA6Hdu/ererqaiUnJ2vnzp1Nbi7+X//1X3rooYc0cODAJtce88jLy9PUqVPV2Nio22+/XYMGDVJJSYnfNxcHAADoKvz+9YHc3Fxt2rRJd9xxh/bt26fCwkJFR0crJydHe/bsaRJjbTF58mQdOHBAEydO1LFjx5Sfn6/GxkY9/vjj+uCDD4gxAABw3fL7CBkAAAAC49pdYAMAAAAt6jJBlpeXp9TUVEVERMjhcGjYsGFauXKlGhoa/BqvtLRUkydPVr9+/dSzZ0/FxcXpySef1JdffhngmXcvgVqnsrIyZWdnKz09Xf369VNwcLAiIiI0evRovfDCC36vOy4L9PfTtxUWFspms8lms2ncuHEBmG331BFr9NZbb2n8+PHq37+/QkJCdOONN+rOO+/U0qVLAzjz7iWQ61RfX6/s7GwlJiYqLCxMwcHB6t+/v+655x69/fbbHTD76195ebnWrFmjBx98UPHx8QoKCpLNZtPy5cvbNe6uXbuUkZGhqKgohYaGasiQIXruuee8F7L3i9UFzJ0715JkBQUFWT/5yU+siRMnWn369LEkWSkpKda5c+d8Gi8vL88KCgqyJFlJSUnWlClTrJtvvtmSZPXr1886evRoB72S61ug1qmhocGSZEmynE6nNXbsWOv++++3UlJSrB49eliSrJEjR1pff/11x76g61Sgv5++7auvvrK+//3vWzabzZJkpaenB3Dm3Ueg18jtdluTJ0+2JFmhoaFWWlqaNXXqVGvs2LHWjTfeaPXt27eDXsn1LZDrVFlZaf3bv/2b9++9n/zkJ9aUKVOshIQE79+Hc+bM6cBXc33yrNF3P5YtW+b3mL/73e8sSZbNZrPGjBljTZ482erfv78lyRo8eLB19uxZv8bt9EGWn5/v/R+0tLTU+/jZs2et+Ph4S5L19NNPt3m8kydPWr169bIkWevWrfM+fvHiRWvatGneSLt06VJAX8f1LpDr1NDQYI0YMcLavHmzdf78+Sbb/ud//se66aabLEnWQw89FNDX0B0E+vvpu37xi19YPXr0sGbNmkWQ+akj1uiXv/ylJcmaMGFCsx8WjY2N1v79+wMy9+4k0Os0Z84cS5I1YsQIq6qqqsm27du3ew8isFa+efnll61nnnnGeuONN6wjR45YDzzwQLuC7PDhw5bNZrN69OhhFRYWeh+vr6+30tPTLUnWfffd59fYnT7IkpKSLEnW8uXLm2177733LEmW3W63qqur2zTes88+a0myxo0b12xbbW2tFR4ebkmy/v73v7d77t1JoNfpSl5//XXvv/QvXLjQ7vG6k45cp61bt1qSrGeffdZ69dVXCTI/BXqNdu3aZUmyhg4dyvdLAAV6nYYOHWpJsjZv3tzi9h//+MeWJOt3v/tdu+bd3U2fPr1dQeY50vyrX/2q2bZPP/3UuuGGGyxJ1pEjR3weu1OfQ3by5EmVlJRIkjIzM5ttT0lJUUxMjNxutwoLC9s0Zn5+fqvjOZ1OjR8/XpK0detWf6fd7XTEOl2J5/Zd33zzjSorK9s9XnfRketUWVmpmTNnavDgwZyP1A4dsUZr1qyRJM2bN0/BwcGBm2w31hHr1LNnzzbtFxUV1faJIqAuXLig7du3S2p53QcOHKjk5GRJ/781fNGpg6ysrEySFBkZqbi4uBb3SUxMbLLvldTW1urjjz9u8rz2jIfLAr1OV3P06FFJUkhIiCIjI9s9XnfRkes0a9YsVVZWav369W3+wYLmAr1GjY2N3jujjBkzRqdPn9Yf/vAHzZo1S/PmzdNrr73WvpOQu6mO+F66++67JUm/+c1v9NVXXzXZVlhYqHfffVf9+/f3HjTAtffRRx/p3LlzkjqmIYL8n1rH89y8PDY2ttV9YmJimux7Jd++Q0BrY/oyHi4L9DpdiWVZWrlypSTpnnvu4X5wPuioddq4caPefPNNzZ071/uvQ/gn0Gt07Ngxb3C9//77mj17drMAe/bZZ7Vx40alpaX5O+1upyO+lxYsWKCDBw+qqKjIe6SlT58++vjjj1VaWqrk5GStX79e4eHh7X8B8ItnLfv06aPevXu3uE97ftZ16iNktbW1kiSHw9HqPk6nU5JUU1PT5vGuNKYv4+GyQK/TlSxZskT79++X0+lUTk5Ou8bqbjpinU6fPq3HH39ct9xyi1asWNH+SXZzgV6jqqoq758feeQRjRgxQiUlJaqtrdU//vEPZWRk6OzZs/r5z3/uPfKMq+uI7yWHw6Ft27bpmWeeUX19vYqKirRp0yaVlpaqb9++GjdunAYMGND+ycNvHf2zrlMHGfBtf/7zn7V06VLdcMMNeuWVV3TbbbeZnlK39+ijj+rrr7/Wn/70J/Xq1cv0dPAd1rduxDJgwAAVFRUpMTFRTqdTw4YN09tvv62hQ4eqrq6Of+AYdurUKSUnJ2vNmjVavny59+jmwYMHNWLECC1ZskQpKSlNDizg+tKpg8xzSLC+vr7VfTyH38PCwto83pXG9GU8XBbodWpJXl6eHn74YUnSyy+/rMmTJ/s1TncW6HV67bXXtG3bNs2cOVOpqakBmWN315F/5z344IPN3uLv0aOHHnvsMUmXL3SJtumIv/OmT5+ukpISLVu2TIsWLVJcXJwcDoeSkpL0zjvvKD4+Xh988IFWrVrV/hcAv3T0z7pOfQ7ZoEGDJEkVFRWt7uPZ5tn3SgYOHOj984kTJxQfH9+u8XBZoNfpu7Zu3arMzExdunRJ69at84YZfBPodfL8FlFJSUmzIDt9+rSky3fE8GzbuHGj+vfv79uku5lAr9GgQYNks9lkWZZuvvnmFvfxPH7q1CnfJtuNBXqdTp48qZ07d0qSpk6d2mx7cHCwJk2apA8//FC7du3SkiVLfJ802s2zltXV1aqtrW3xPLL2/Kzr1EfIPJc3qKqqavUEuUOHDkmSEhISrjpeWFiYbr311ibPa894uCzQ6/RtBQUFuv/++9XY2Ki1a9dqxowZ7ZtsN9ZR63To0CHt3bu3yUd5ebmky39xeR47f/58O1/B9S/Qa+R0OjV48GBJavUSMZ7HPee+4OoCvU4nTpzw/rm1Iyuek/m/+xuYuHYGDx7sPTWjIxqiUwdZdHS0kpKSJEkbNmxotr24uFgVFRWy2+3KyMho05j33ntvq+PV1dVp27ZtkqSJEyf6O+1upyPWSZK2bdumKVOm6OLFi1q7dq33rRX4J9DrVFBQIOvyxaWbfbz66quSpPT0dO9jHHW+uo74XvK8vd/aW5KeIzMjR470Z8rdUqDX6dsn6x84cKDFfd5//31JavUyG+h4ISEh+tnPfiap5XX/7LPPtG/fPkn/vzV84telaq+h1m5PUVlZ2ertKbZu3WoNHjzYSktLazbet2+d9Mc//tH7+MWLF723VODWSb4L9Dpt377dCgkJsWw2W5NbXKF9Ar1OreFK/f4L9BqdPXvWioiIsCRZL730UpNtf/3rX733Hd2+fXvHvKDrVKDXyXPl/x/84AfW8ePHm2x7/fXXvev0+uuvd8jr6S7acqX+NWvWWIMHD7YeeOCBZttKS0u9t07629/+5n28W9w6ybL+/z2+goODrbvuusu67777vDdwTU5ObnYDV88Pg4EDB7Y43ubNm703qb799tut//iP/+Dm4gEQqHU6c+aMZbfbLUlWdHS0NX369FY//L2Ja3cW6O+nlhBk7RPoNdqxY4fVs2dPS5L1wx/+0Jo0aZI1fPhw742WFy9efA1e1fUnkOv04YcfWlFRUZYkq2fPnlZqaqo1adIk64c//KF3naZNm8bBAh+VlpZat99+u/fD8984Ojq6yeNffPGF9zm//vWvLUnWj370oxbH/PbNxVNTU60pU6Z477F8Xd9c3GPTpk3WmDFjrLCwMCs0NNQaOnSolZOTY7nd7mb7tuUHyKFDh6yJEyda3/ve96yQkBBr4MCB1uOPP26dPn26A1/F9S8Q63T8+HHvX0BX+/juvyTRNoH+fmrtOQSZ/wK9RuXl5db06dOtAQMGWMHBwVbfvn2tjIwMq6ioqANfxfUvkOt0+vRpa8GCBda///u/Ww6HwwoKCrK+973vWT/96U+tTZs2dfAruT69++67Pv8suVqQWZZl7dy507rrrrusyMhIy263W7fddpuVlZVl1dTU+D1Xm2V960I1AAAAuOY69Un9AAAA3QFBBgAAYBhBBgAAYBhBBgAAYBhBBgAAYBhBBgAAYBhBBgAAYBhBBgAAYBhBBgAAYBhBBgAAYBhBBgAAYBhBBgAAYNj/A0WbNJHhDYM3AAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "_nSteps = 150\n",
    "\n",
    "x = np.linspace(0,_nSteps-1,_nSteps)\n",
    "allStats = []\n",
    "\n",
    "SIRModel = MathModel(_nAgents, _nPatientZero, _chanceOfInfection, _randomContacts, _daysCuredAfter)\n",
    "print(\"Simulate SIR Model\")\n",
    "for i in tqdm(range(_nSteps)):        \n",
    "    SIRModel.calculateStep()\n",
    "\n",
    "for iExp in range(_nExperiments):\n",
    "    print(\"Starting Experiment:\",iExp+1,\"/\",_nExperiments)\n",
    "    st = {\"nInfected\": [], \"nRemoved\": [], \"nSusceptible\": []}\n",
    "\n",
    "    df = init(_nAgents)\n",
    "\n",
    "    simulate(df, stats=st, nSteps=_nSteps, mode=\"lattice\", nRandomContacts=1, plotLattice=False)\n",
    "    \n",
    "    allStats.append(st)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "18e2a834-f490-409c-bdcf-eda2b932202f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "medianStats, lowerStats, higherStats = calculateStats(allStats)\n",
    "plotSIR(x,medianStats, lowerStats, higherStats, SIRModel)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "5f04a6c6-7ecc-4064-af47-67481de622c3",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "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": "3.10.10"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}