{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "9d4162cb-0737-4e76-9a9c-3f799a790dba",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt \n",
    "import pandas as pd \n",
    "import seaborn as sns"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "635b19f7-ce4e-4b0d-80dd-580470896cd1",
   "metadata": {},
   "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>Home</th>\n",
       "      <th>Bar</th>\n",
       "      <th>Back Home</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>Home</th>\n",
       "      <td>0.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Bar</th>\n",
       "      <td>0.0</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.5</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Back Home</th>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "           Home  Bar  Back Home\n",
       "Home        0.0  1.0        0.0\n",
       "Bar         0.0  0.5        0.5\n",
       "Back Home   0.0  0.0        1.0"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# https://towardsdatascience.com/saturday-night-modeling-using-markov-chains-with-python-a29188330a1e\n",
    "\n",
    "nodes = ['Home','Bar','Back Home']\n",
    "trans_matrix = np.array([[0,1,0],[0,0.5,0.5],[0,0,1]])\n",
    "pd.DataFrame(trans_matrix,columns=nodes,index=nodes)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "f8921cea-8531-41c8-a9f4-946aefed24fa",
   "metadata": {},
   "outputs": [],
   "source": [
    "def state_change(start_state,nodes,trans_matrix):\n",
    "    index_list = np.arange(0,len(nodes),1).astype(int)\n",
    "    index_state = nodes.index(start_state)\n",
    "    row = trans_matrix[index_state]\n",
    "    end_index = np.random.choice(index_list,p=row)\n",
    "    end_state = nodes[end_index]\n",
    "    return end_state"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "489f6d7e-5d9f-4fa9-87c6-4f8d26be4bb0",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'Bar'"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "def one_bar_mc(n, history=True):\n",
    "    nodes = ['Home','Bar','Back Home']\n",
    "    index_list = np.arange(0,len(nodes),1).astype(int)\n",
    "    trans_matrix = np.array([[0,1,0],[0,0.5,0.5],[0,0,1]])\n",
    "    state = ['Home']\n",
    "    start_state = 'Home'\n",
    "    for i in range(n):\n",
    "        start_state = state_change(start_state,nodes,trans_matrix)\n",
    "        if history==True:\n",
    "            state.append(start_state)\n",
    "    if history==True:\n",
    "        result = state\n",
    "    else:\n",
    "        result = start_state\n",
    "    return result\n",
    "    \n",
    "one_bar_mc(2,history=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "37ce7643-88f8-4e05-8827-de7fdc928e83",
   "metadata": {},
   "outputs": [],
   "source": [
    "def collection(process, M, n=1000, history=False):\n",
    "    final_state = []\n",
    "    for m in range(M):\n",
    "        final_state.append(process(n=n,history=history))\n",
    "    return final_state\n",
    "    \n",
    "def barplot_collection(process, nodes, M=500, n=100, history=False):\n",
    "    states = pd.DataFrame(collection(process,M=M,n=n,history=False),columns=['State'])\n",
    "    sns.countplot(x='State',data=states,palette='plasma',order=nodes)\n",
    "    plt.xticks(fontsize=30)\n",
    "    plt.ylabel('Cardinality of the State',weight='bold',fontsize=25)\n",
    "    plt.xlabel('State',fontsize=25,weight='bold')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "74a3c19f-bd65-47d2-bedb-4d49642ade3e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1600x1600 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "N = [2,3,4,5]\n",
    "i=1\n",
    "plt.figure(figsize=(20,20))\n",
    "for n in N:\n",
    "    plt.subplot(2,2,i)\n",
    "    plt.title('Number of steps=%i'%(n),fontsize=40)\n",
    "    barplot_collection(one_bar_mc,M=1000,n=n,history=False,nodes=nodes)\n",
    "    i=i+1\n",
    "plt.tight_layout();"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "d52dd166-862e-4515-bafd-9ca8a27d214b",
   "metadata": {},
   "outputs": [],
   "source": [
    "color_nodes = {'Home':'firebrick','Back Home':'lightblue','Bar':'darkorange'}\n",
    "def return_prob(t,order):\n",
    "    f_t = (t/(300))**(order)\n",
    "    return f_t\n",
    "\n",
    "def one_bar_td_mc(n, history=True,order=6):\n",
    "    nodes = ['Home','Bar','Back Home']\n",
    "    index_list = np.arange(0,len(nodes),1).astype(int)\n",
    "    state = ['Home']\n",
    "    start_state = 'Home'\n",
    "    for i in range(n):\n",
    "        trans_matrix = np.array([[0,1,0],[0,1-return_prob(i,order),return_prob(i,order)],[0,0,1]])\n",
    "        start_state = state_change(start_state,nodes,trans_matrix)\n",
    "        if history==True:\n",
    "            state.append(start_state)\n",
    "    if history==True:\n",
    "        result = state\n",
    "    else:\n",
    "        result = start_state\n",
    "    return result\n",
    "    \n",
    "def pieplot_collection(process, nodes, M=500, n=100, history=False):\n",
    "    result = pd.DataFrame(collection(one_bar_td_mc,M=M,n=n),columns=['Result'])\n",
    "    counts = result['Result'].value_counts()\n",
    "    labels = counts.index\n",
    "    color_order = []\n",
    "    for l in labels:\n",
    "        color_order.append(color_nodes[l])\n",
    "    values = counts.values\n",
    "    try:\n",
    "        plt.pie(values,labels=labels,colors=color_order,autopct='%.2f%%',textprops={'fontsize': 20},explode=[0,0.1])\n",
    "    except:\n",
    "        plt.pie(values,labels=labels,colors=color_order,autopct='%.2f%%',textprops={'fontsize': 20},explode=[0])\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "ebbccceb-724e-4bcf-9f4a-41099217248e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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flW1+1XsDbPGEtON0SEMKcjWyX66GFOTK5WQ4NwD0FcoKIFNZllS1bE9B8U+po8p0IqBvZOVJY8+PFRfjZkhZuaYTAQAA2JplWar1BLSzzaeqjoAinEZAhnA7HRpWlKuRRXkqzc+Ww0FxAQDJRFkBZBpvg7T+SemD30ttO0ynAczKLpLGXxwrLkZPl1xu04kAAABso9kfUmWrV7va/QpEoqbjAEblZjk1ql+exhTnqzA7y3QcAEhLlBVApqheIa19PLaSIhIwnQawn4Kh0pTZ0tSbpKLhptMAAAAYEY5a2tnm0/YWj1oYlA10aXB+tsaW5GtoYa6crLYAgIShrADSWdgvbX46VlLUrjKdBkgNzixp3IXS0V+XRp0p8eEDAABkgPZAWOUtHlW2+RSKcpoAiEeuy6nRJfkaW5yvfLfLdBwASHmUFUA6at0urf2dtOGPkr/RdBogdfWfJB31NemIr0q5JabTAAAAJFTUslTV4Vd5s1cNvqDpOEDKckg6pCBHY0vyNaQgh9kWANBDlBVAurAsqWJhbBXF9v9KFnvKAgmTlS9Nvlo6+hZp8NGm0wAAAPSKNxTR9lavKlq8zKIAEiw/y6UxJbHZFrlZrLYAgO6grABSnb85toJi3e+kljLTaYD0N/IL0rF3SOMvZIsoAACQUuo8AZW1eFTTERAnAoDkckga0S9PEwcUqDjHbToOAKQEygogVdWuia2i2PyUFPaZTgNknv6HSsfcJh15neTON50GAACgS5ZlaXeHXx81edTiD5mOA2Skwfk5mjigQIMLckxHAQBbo6wAUkk0LG15Tlrzv1L1u6bTAJCk3P7SlBulY74pFQ03nQYAAECSFIlaqmzzaWtThzpCEdNxAEgqyXFr4oACDS/KZa4FAHSBsgJIBdGItPEv0vL7pNZy02kAdMXplib9j3Tct6RDjjWdBgAAZKhQJKryFq+2NXuYRwHYVIHbpQn9CzS6OF9ZTkoLAPgYZQVgZ9GItOnv0vKfSi3bTKcBEK9xF0qn/FQafJTpJAAAIEP4whFta/Joe6tX4Sgf84FUkO1yalxJvsaXFCgny2k6DgAYR1kB2JEVlTY/I717r9S8xXQaAD3ikCbOlE65VxowyXQYAACQptqDYW1t6lBlm090FEBqcjmkMcX5mjiwUHlZLtNxAMAYygrATiwrNpPi3Z9ITZtMpwGQCA6XdPi10kk/lorHmE4DAADShCcU1qaGDu1s84kP9UB6cDqkcSUFmjigQLmUFgAyEGUFYAeWJW19PlZSNGwwnQZAMriypSNnS5/7kVQ41HQaAACQonzhiLY0dqii1ctKCiBNuRwOjSvJ18QBBcqhtACQQSgrANO2/lt69x6pfp3pJAD6QlaedNTXpRP/n5Q/yHQaAACQIgKRqD5q7FB5i0cRPsUDGcHlcGhC/3wdOqBQ2S5mWgBIf5QVgCllL0rL7pHqVptOAsCE7CLp2Nul478t5RSbTgMAAGwqFI1qW5NHW5s9DM4GMpTb6dDEAYUa379AWU6H6TgAkDSUFUBfK/9PbCVFzXumkwCwg9wB0vHflY69VXLnm04DAABsIhK1VNbi0UdNHgUjUdNxANhAjsupwwYWamxJvpwOSgsA6YeyAugrFa9Ky+6WqpebTgLAjvIPkab9QJr6NSkrx3QaAABgiGVZ2t7q1ebGDvnDlBQA9lXgdunI0n4aXpRrOgoAJBRlBZBsrdulxbdK5S+ZTgIgFRSNlD53l3TkdZIzy3QaAADQh+o8AX1Q16a2YNh0FAApoDQ/W1MH91Nxjtt0FABICMoKIFnCfmnlQ9J7P4v9HAC6o/9E6Yz/lcacbToJAABIMk8wrPX1barqCJiOAiDFOCSNKc7X4YOKlJPFEG4AqY2yAkiG8v9IS26VWspMJwGQ6iZdIX3hV1LhUNNJAABAgoWjUW1p9Ghrc4eYnQ2gN9xOhw4bGBvCzTwLAKmKsgJIpNYKacltUtkLppMASCfZ/aRT7pOOuUVycLUUAADpYGebT+vr25hLASChCrNdmlraT0MKmWcBIPVQVgCJEA5I7/1cWvmgFPaZTgMgXR1ynHTW76Uhx5tOAgAAeqjZH9IHda1q9IVMRwGQxg4pyNHU0n4qymEOHoDUQVkB9Nb2/8YGaLdsM50EQCZwOKWpX5NOe0DKKTadBgAAxCkQjujDhnZVtHJxE4C+4ZA0vn+BDh9UqCwnK7QB2B9lBdBTbTukxbdJZQtMJwGQiQqGSJ//pTT5atNJAADAQWxv8WpDfZtCDKYAYEB+lktHD+mnIQVsDQXA3igrgO4KB6T3H5ZWPMCWTwDMG3WmdOZvpQETTScBAACf0REMa01tq+q9QdNRAEAji3I1dXA/5WS5TEcBgC5RVgDdUfGKtPibUvNW00kA4BOuHOmE70nT7pSyuFoKAADTLMvS1maPNjW0K8InbgA2ku1yaEppP40uzjcdBQD2QVkBxKOtUlpyu7TtX6aTAMD+lYyXznxcGnOO6SQAAGSsFn9Iq2ta1RJggDYA+xqcn61jDilWQTYDuAHYB2UFcDBrHpeWfk8Ke00nAYD4TJwpffFRqXCY6SQAAGSMSNTSpsZ2bW3yiA/ZAFKBy+HQ5EGFOrR/gRwOh+k4AEBZAeyXp1Z65Xpp+39MJwGA7ssukk65TzrmmxIfPAAASKoGb1Cra1rUEYqYjgIA3VaSk6VjhpSof67bdBQAGY6yAuhK2YvSKzdIvnrTSQCgd0afLZ33F6lgiOkkAACknVA0qg117dreyipsAKnNIWniwEJNHlgoJxc7ATCEsiLFLV26VK+99poeeeQReTwe5efna+zYsRo8eLBaW1vV0tKiQw89VJdffrmuvfZa5eTkmI5sbyGv9MYd0gd/MJ0EABInr1Q654/S+BmmkwAAkDYavEG9X9MiL6spAKSR/rlunTC0RIXMsgBgAGVFmrjxxhs1d+5c/fCHP9R9993XeXtjY6N+9rOf6Re/+IVOOOEELVq0SCUlJeaC2lnN+9J/rpGaPzKdBACS4+hbpM//QsrKNZ0EAICUFbUsbWxo10dNHtNRACApXA6Hpg7up7El+aajAMgwTtMBkBhDhnS9vcfAgQP18MMP65prrtF7772ne+65p2+DpQIrKi2/X3r6ZIoKAOlt7ePS30+UGj40nQQAgJTUFghpyY4GigoAaS1iWVpT26p3dzcpEGb1GIC+Q1mRJpzOA/+nPPXUUyVJS5Ys6Ys4qaO1Qnr289I7P5KiIdNpACD5GtZLfz9eWvO46SQAAKSUsmaPFu9oUGsgbDoKAPSJ6o6AXqtoUE2H33QUABmCsiJDrFixQpI0ePDgztv8fr/uvfdeTZs2TaeffrpGjhypyy67TNu3b+98zPLly/W9731Phx56qP785z/r73//u0aMGKHRo0dry5Ytff59JNTGv0p/OUra/bbpJADQt8J+afE3pH9fLPkaTacBAMDWAuGIlu1q0rq6NkXZRBlAhglEolq2u1lralsV4S9BAEnGtJw019TUpN/+9reaN2+e3G637rzzzs77brrpJv3zn/9UWVmZhgwZog8++EDHHnus6urq9NZbb0mSHA6HduzYoW3btunFF1/UBRdcoNmzZ+uf//yngsGgqW+rd/zN0ms3S1ueNZ0EAMwqe0H6y1Tp3L9Io880nQYAANup8wT0fnWL/JGo6SgAYNT2Fq8avAEdP7S/+ue6TccBkKYYsJ0m7rnnHv3kJz9Rfn6+jjjiCLndbu3atUs7d+6UZVk64YQT9Oijj+rkk0/uPKZfv3465JBDtHXr1s7bpkyZorKyMnm93s7b5s6dqxtvvFG33nqrHnvssT79vhKucon031lSxy7TSQDARhzSCd+VTrlPcvHBAwCAqGXpw/p2bW1mNgUAfJpD0hGlRZo4oNB0FABpiG2g0swdd9yhlStX6p133tGOHTu0ceNG3XHHHfrggw90zz33aOPGjZ2PfeKJJ/YqHyorKxWNRuXz+fZ6Trc7duLqmGOO6ZtvIhkiQenN70r/OJOiAgD2YUnv/Vx6+mSpeevBHw4AQBrzhiJ6s7KRogIAumBJ2lDfruW7mxVi1RmABGMbqDR32GGH6ZFHHtHIkSP1rW99SyeffLLWrl2rMWPG6KqrrlI4HNbTTz+t+fPna8yYMXI4HKYjJ17jJunlq6X6taaTAIC91b4v/fVY6YzfSEd+1XQaAAD6XJ0noJXVLQpyAg4ADqiqw6+2HSFNG95fxTmszgaQGKysyBC33HKLcnNz1draqrlz50qSVq1apSlTpmj16tWaN2+eHn74YQ0aNMhw0gQre1F6ahpFBQDEK9QhvXKd9NJVUqDVdBoAAPrMlsYOvbOriaICAOLUEYrojR2Nqmz1HvzBABAHyooMkZ2draKiIkmSx+NRVVWVzjzzTB1xxBF6+OGHlZ+fbzhhEqx4QFpwiRRsN50EAFLPlmekvxwt1a4xnQQAgKQKRaJavrtJHza0i4GOANA9EcvS+zWtWlPbqihjcQH0EmVFmjjYnPR33nlH9fX1kqTzzz9fb7/9tlpbWzVs2LAun6er54tEIglKm2QhX+yK4Ld/KFlcFQUAPdZWIT1zqrR1vukkAAAkRVsgpCWVDarqCJiOAgApbXuLV29WNsobSpFzRwBsibIiTdTU1Ejat2SwLEvPP/+8Zs6cKUm6+eabNX36dB122GGSpHnz5mn+/Pl6/fXXdf3112vLli2SpJdeeqlzu6jy8nJJ0rJly/rke+mV9l3Ss6fFrggGAPRe2Cu9cLm0/H7TSQAASKhdbT4t2dGojiAn1gAgEZr9IS3e0aBaDwUwgJ5xWAe7JB+2tnTpUi1atEiPPPKIfD6fHA6HRo0apaFDhyoUCqmqqkput1tTp07V7NmzdfHFF3ce+9hjj+nBBx9UNBrV2WefrQceeEBPPfWU7rvvPl1++eV6/PHHNWPGDL311luKRmMrFA4//HAtWrRIw4cPN/Ut71/VcumFSyVPjekkAJCeJn9Zmv6klJVjOgkAAD0WtSxtqG/XtmaP6SgAkLYmDyzUYQML5XA4TEcBkEIoK5AePpwnvXqTFKG9B4CkGnqSdMm/pfzBppMAANBt/nBEK6ta1OALmo4CAGlvaGGOThjaX1lOCgsA8aGsQGqLRqSl35VW/cp0EgDIHEWjpEtflEqnmk4CAEDcWgMhLdvVJF+YuXYA0FdKcrJ00ogBystymY4CIAVQViB1+Vukl6+UKl4xnQQAMo+7ULrgKWn8haaTAABwUDUev1ZWtSgc5eMvAPS13CynTh4+QCW5btNRANgcZQVSU9MW6d8XSc0fmU4CAJnL4ZROfVA68XumkwAAsF/lLR6tq20TH3wBwByXw6ETh5VoaGGu6SgAbIyyAqln+0Lp5aukQIvpJAAASTriOuns30uubNNJAADoZFmW1jNIGwBsZUppkQ4dUGg6BgCboqxAann/l9LS70tWxHQSAMCnDT9Numi+lD/IdBIAABSOWnqvulnVHQHTUQAAnzG2OF9HHdJPTgeDtwHsjbICqSEckF67SfpwnukkAID9KR4rXfKiNOgI00kAABnMH45o2e5mtfhDpqMAAPZjcH62pg3rL7fLaToKABuhrID9eRukf18oVS83nQQAcDDZ/aQZz0hjzzOdBACQgVoDIS3b1SxfmJXYAGB3RdlZOnl4fxVkZ5mOAsAmKCtgb207peenS02bTScBAMTL4ZI+/7B03B2mkwAAMkitJ6AVVc0KR/mICwCpIsfl1MkjBqh/rtt0FAA2QFkB+2r6SPrn2VJ7pekkAICeOOab0hcfk9iLFgCQZJWtXq2qaRUfbgEg9WQ5HTp5eH8Nys8xHQWAYZQVsKfaNdLz50i+etNJAAC9MWWOdPbvJQd70QIAkqOs2aN1dW2mYwAAesHlkE4c1l9DC3NNRwFgEGUF7GfXUulfF0pBPnAAQFo4fJZ0zh8lp8t0EgBAmtnS2KEPG9pNxwAAJIBD0vFDSzSyX57pKAAMoayAvZS9KL30P1LYbzoJACCRJl0hnf83ycnwPABAYmyob9NHTR7TMQAACXb04H4a17/AdAwABlBWwD42/k165TopGjadBACQDBMukWY8K7myTScBAKQwy7K0trZN21u9pqMAAJLk8EGFOmxgkekYAPoYZQXsYe1vpde/ITESDwDS29jzpYuel7LYixYA0H1Ry9Kq6hbtbGclNgCku0P7F2jK4H6mYwDoQ5QVMG/Vr6Q3vmU6BQCgr4w6S7pkgeTON50EAJBCIlFLK6ubVd0RMB0FANBHRhfn6dhDiuVwOExHAdAHKCtg1oqfSW//wHQKAEBfG3G6dOlLUjZLuwEABxeORvXu7mbVe4OmowAA+tiwwlydOKxETgoLIO1RVsCcd++Vlv3YdAoAgClDPyddtlDKKTadBABgY8FIVO/salKzP2Q6CgDAkGGFOTpxWH8KCyDNUVbAjLd/JK2433QKAIBphxwnXbZIyhtgOgkAwIZCkajepqgAAEgaXpSrE4eWsCUUkMYoK9D33vyu9P4vTKcAANhF6VTp8lel/MGmkwAAbCQcja2oaPRRVAAAYkYU5eoECgsgbVFWoG8tvk1a82vTKQAAdjNgsjTzdalwqOkkAAAbiEQtLdvdxIwKAMA+RvXL03FDGLoNpCPKCvSd178prf1f0ykAAHZVMkGauVjqN9J0EgCAQZGopXd3N6mOogIAsB+j++XpWAoLIO04TQdAhlh2D0UFAODAWrZJz54utW43nQQAYEjUsrSiqpmiAgBwQDvafFpT2yauwQbSCysrkHzrfi+9drPpFACAVFE0SrpqmVQ03HQSAEAfilqWVla1qKrDbzoKACBFjCvJ19GHFJuOASBBWFmB5Proeen1W0ynAACkkvZKaf55UqDVdBIAQB+xLEvvV1NUAAC6p7zFqw/q2kzHAJAglBVInsol0n+ukayo6SQAgFTTsF5acIkUDphOAgBIMsuytKqmVbvaKSoAAN23rdmj9RQWQFqgrEBy1K2NnWSKcJIJANBDO9+Q/jtLYsdKAEhra2vbVNnmMx0DAJDCtjZ7tKWxw3QMAL1EWYHEaymPbd8RpNUGAPTSR89Jb9xhOgUAIEk2NrRre6vXdAwAQBr4sKFdFfybAqQ0ygoklrdOen665KkxnQQAkC5WPya99wvTKQAACba9xavNXAULAEigNTWtqmb+EZCyKCuQOMF26fnzpJYy00kAAOlm6fekTU+ZTgEASJDqDr/W1raajgEASDOWpJVVzWr0Bk1HAdADlBVIjEgwNqOibrXpJACAtGRJr1wn7XjddBAAQC81+YJaWdUiJhIBAJIhYknLdjepLRAyHQVAN1FWoPesqPSfL0uVi00nAQCks0hQeuFSqW6t6SQAgB7qCIb17u5mRSyqCgBA8oSilt7Z1SxfOGI6CoBuoKxA7y2+VfroH6ZTAAAyQbBdmn++1FphOgkAoJsC4aiW7WpSIBI1HQUAkAF84YiW7WpSKMq/O0CqoKxA77z7U2nt46ZTAAAyiadaev5cyddoOgkAIE7hqKVlu5vUEeIKVwBA32kNhLVid7OirOgDUgJlBXrugz9Iy+42nQIAkImat0j/ulAK+UwnAQAchGVZWlnVrGY/e4cDAPpenTeoNTWtpmMAiANlBXpm67+k175uOgUAIJNVvyu9fJUU5SpdALCztbVtqvEETMcAAGSwHW0+bW7sMB0DwEFQVqD7qpbHTg5ZnBwCABhWtkB6/RbTKQAA+7G1qUPbW72mYwAAoI0N7aru8JuOAeAAKCvQPd466cXLpQhXRgEAbOKDJ2IzlAAAtlLrCWhDfbvpGAAAdHqvukVtAbYlBOyKsgLxi0akl66QOnabTgIAwN6W3S1tftZ0CgDAHp5gWO9VNYtxpgAAOwlHLb27u1nBSNR0FABdoKxA/JZ+X9r5hukUAAB0bdFsqXGz6RQAkPHC0WjsRFCUqgIAYD+eUEQrq5plWfw7BdgNZQXis+Uf0qpfmk4BAMD+hTqkFy+TQh7TSQAgY1mWpferW9UWDJuOAgDAftV5g1rPVoWA7VBW4OAaN0qvXG86BQAAB9e4UVp0o+kUAJCxtjR1qIrhpQCAFLCt2aMdrV7TMQB8CmUFDizYLi34UuxqVQAAUsHmp6S1vzWdAgAyTnWHXxsb+NwAAEgda2pb1eQLmo4BYA/KChzYwq9KzVtMpwAAoHveuEOqXmk6BQBkjPZAWO9Vt5iOAQBAt0QtaXlVs3zhiOkoAERZgQNZ+ZC0db7pFAAAdF8kKL04U/I1mk4CAGkvFInq3d1NCjNQGwCQgvzhqJbvblaEf8cA4ygr0LXKxdLbPzSdAgCAnmuvlP7zZcmKmk4CAGnLsiytrG5RR4grUgEAqavZH9IH9W2mYwAZj7IC+2rbKb10pWTxgQMAkOIqFkrv/tR0CgBIW1uaOlTrCZiOAQBAr21v8Wp3u890DCCjUVZgb+GA9OLlkq/edBIAABJj+b1SxSumUwBA2mn0BrWJgdoAgDSyuqZVnmDYdAwgY1FWYG9LbpVqGEgKAEgjVlR6+ZrYykEAQEIEI1GtrG4Ru3sDANJJKBrb3jBq8S8cYAJlBT6x4U/SB38wnQIAgMTzN0ovzYwN3gYA9Nrqmhb5wmwbCwBIP83+kDbUt5uOAWQkygrE1K6WXv+66RQAACRP9QrpjW+bTgEAKa+s2aOqDuZUAADS17Zmj6o7/KZjABmHsgKSr0l64TIpzF/CAIA0t/Z/pU1Pm04BACmrxR/S+vo20zEAAEi6VTUt8oZYRQj0JcoKSK9cL7VVmE4BAEDfeHWO1LjJdAoASDnhaFQrq5sVZRtvAEAGCEYsvVfdLIv5FUCfoazIdBv/KpUtMJ0CAIC+E/LEVhQGO0wnAYCUsra2TR1BrjAFAGSORl9IGxuYXwH0FcqKTNZRJS25zXQKAAD6XtMmafGtplMAQMqobPWqss1nOgYAAH1uS5NHtR5mNQF9gbIik716o+RvNp0CAAAzPvyTVP6y6RQAYHsdwbDW1jKnAgCQuVZVtygYiZqOAaQ9yopMtYETNAAAaNEcyddkOgUA2JZlWXqvukVh9usGAGQwfySqdbWtpmMAaY+yIhO17ZTeuMN0CgAAzPNUS4u/YToFANjWlqYONftDpmMAAGDczna/drf7TccA0hplRSZaNFsK0AYDACBJ2vy09NHzplMAgO20+EPa3NhhOgYAALaxtrZVgTDbQQHJQlmRaT74g7RjkekUAADYy2s3S9560ykAwDailqVVNS2KsvsTAACdApGo1tZxATCQLJQVmaRth/Tmd0ynAADAfnz10qs3mU4BALaxqaFDrYGw6RgAANjO7na/drX5TMcA0hJlRaawLOmVG6Rgu+kkAADY07Z/SZv+bjoFABjX7A/qoya2fwIAYH/W1rXKH46YjgGkHcqKTLHud1Ll66ZTAABgb4u/KXlqTKcAAGOilqVV1a1i9ycAAPYvGLG0ppbtoIBEo6zIBK3bpaXfM50CAAD78zdLr3/DdAoAMGZzY4fagmz/BADAwVR3BFTZ6jUdA0grlBXpzrKkhddJIY/pJAAApIatz0tb/2U6BQD0udZASFsa2f4JAIB4ratrk4/toICEoaxId2t+I+1603QKAABSy+JvSAGWdQPIHJZlaVUN2z8BANAdoailNTV8bgAShbIinTVvk976gekUAACkno4qtlAEkFG2NnvU4g+ZjgEAQMqp8QRU1e43HQNIC5QV6cqKSq9cJ4XZOw8AgB75YK60k9WJANKfNxTRpga2fwIAoKfW1bUpHGV9ItBblBXpavVj0u63TacAACCFWdKrN0phrpICkN4+qGtTxOIECwAAPeULR7S5sd10DCDlUVakI0+N9M7dplMAAJD6mj+S3r3XdAoASJpaT0BVHZSyAAD01tYmj9oCbKkI9AZlRTp6604pxDJuAAAS4v2Hpbp1plMAQMJFLUvrahkKCgBAIliS1ta2mY4BpDTKinRTu1raOM90CgAA0kc0LC3+hukUAJBwHzV1qCMUMR0DAIC00eALqrKV+bFAT1FWpJslt8eGawMAgMTZ/ba0db7pFACQMN5QWFsaPaZjAACQdtbXtysU4dwc0BOUFelkyz+k3W+ZTgEAQHpa+n0pwh60ANLDOoZqAwCQFIFIVB82MGwb6AnKinQR9ktLv2c6BQAA6atlm7T2cdMpAKDXajr8qu4ImI4BAEDaKm/xqtnPhU5Ad1FWpItVj0htFaZTAACQ3pbfK/maTKcAgB6LRC2tq2P4JwAAyba2tlUWqxiBbqGsSAeeGmnFg6ZTAACQ/vzN0vKfmk4BAD32UVOHPAzVBgAg6Zr9Ie1o85mOAaQUyop08NadUqjDdAoAADLD2sel5m2mUwBAt3lDEX3UxOcGAAD6ysaGdoWjrK4A4kVZkepqV0sb55lOAQBA5oiGpLe+bzoFAHTbxoZ2RThfAgBAn/GHo9rWzIUCQLwoK1LdktslK2o6BQAAmWXrfGnXW6ZTAEDcWv0hVbIVBQAAfe6jJo8CYbZgBOJBWZHKtvxD2s2JEgAAjHjz2xID8wCkiA0N7aYjAACQkcJRS5saWV0BxIOyIlWF/dLS75lOAQBA5qp5T9r8tOkUAHBQ9d6Aaj0B0zEAAMhY21u86giGTccAbI+yIlWtekRqqzCdAgCAzPbWD2IXEACATVmWpfX1rKoAAMAkS9IG/j0GDoqyIhV5aqQVD5pOAQAA2iulVY+aTgEA+7W73a8Wf8h0DAAAMl5Vh1+NvqDpGICtUVakorfulELsdQcAgC2sfFDy1ptOAQD7iFqWPmRWBQAAtrG+rs10BMDWKCtSTe1qaeM80ykAAMDHgm3Ssh+bTgEA+9je4pUnFDEdAwAA7NHkD2l3u890DMC2HJZlWaZDoBv+OV3a8arpFBnPG5SG/1Rq2c+/L06HVHePNLBg3/u21ksn/lq67VTpnnPie72lZdKPF0krKiWXU5o2SvrRmdIXJnT9+P9skh54PZYjFJVuOVn68nF7P6bVJ93xgrRmt+QJShcfIT10geTcT4W5ZJv06FvSv78qORzx5QaAjOFwSV9ZLw2cbDoJAEiSQtGoFpXXKxCJmo4CAAA+pdDt0lljS+Xk5AqwjyzTAdAN1SspKmziqTWxouKQIqk4V/r0Py/V7dLxI7ouKtr80kV/2n/J0ZUVO6Qzn5CyXdKAfGl3q/T61lh58PQ10v8cvffj5y6XblsgvfMN6Zjh0o4m6YTHpF2t0v8745PHfeUZaUeztPI2qbxROvxhaWSJdOtp+2aoapV+8B/pv7MpKgCgS1ZEWvpd6dKXTCcBAEnS1iYPRQUAADbUEYpoR6tPY0vyTUcBbIdtoFLJigdMJ8AeL2+SVtwq1fxY2vJ9afOnfgwtkq49bt9jolHpy09JF3Tzottv/lt6/EtS633Srruk7XdKJ42Wolbsvk9/Bt3WIN36b+mmz8WKCkkaPUC6/XTpRwul93fGbtvdKi34UDpjguR2SZMGSxNLpd+9u+/rhyOxYuPxL0n9+XcUAPav/GWpconpFACgQDiirU0e0zEAAMB+bGnqUJTNboB9UFakioYNUtkLplNAUkdA+sl06cRR+973XqVU2SJdNmXf+37wH+n0cdKMbpQVlc3SNcdKN35OynLFbhszQHr+K1JOllTXIdV/atb6Q0skf1iacfjezzN9YqzU+Pmec2g7W2JfC7I/eUz/vNjrfdb/+490+VTpuBHx5waAjLXiftMJAEBbmz2KcAIEAADb8oYiqmxjdgXwWZQVqWLFg5L4wGEHhTnS1GFd3/fX1bHZD0W5e9/+99VSg1f6zhe691ojiqVbT9339qH9pMMPiZUNg/ZsNxWNSi98GPv51KF7P/7oYbH5Ff/dEistxvSP/brR+8lj6jpiRcin/Wt97PabTupebgDIWJWvSzXvm04BIIMFI1GVt3gP/kAAAGDUlsYOMUoY2BtlRSpoKZO2PGs6BQ4iHJGeXbvvFlDv75T+8r70uy91/zmdzv3PiGgPxFZdfLzioqotVizkuaXSwr0fm+WS+uXGVoWUNUpD+klXHyO9uFFq9kpvb4/d/q3TPzlmW4P0yzel31/W/dwAkNHee8h0AgAZrKzZo3CUEx8AANidJxTRTlZXAHthwHYqWPlQbHAnbO2VLbGv0yd+clt1m/StF6T5X5WyE/h/24ZqqdUnPXDeJ7fV7tkOql9u18cU5cQGezftudDuyf+RfvqqdP7/SXlZ0rwrpVnHx+7zhaTrnpX+73+k/OzYa/2//0hrq2KrPR44Tzq0NHHfDwCkla3zpeatUv9DTScBkGFC0ajKmplVAQBAqtjS1KGR/fLk2N+VqkCGYWWF3bXvkjbOM50CcfjbaunKoz9Z6RAIS199JrYy4eOtmhLlRwtj5cLATz1vIBz7mu3q+phwdO/7c7Kk+86T3v2mtPjmT4oKSfrGv6RvnhIbvG1Z0kV/krY2SG/fIh02WDr1camRz8EA0DUrKr33sOkUADJQebNXQVZVAACQMtqDEe1u95uOAdgGZYXdvf8LKRI0nQIH0e6XFnwoffnYT27737el5ZXSl+ZJhz30yY9Zz+y5/53Yr//37e691m/fkS48XDrvM4O6Py5EvPv549K259++wYVd3/+x/1sRW4XxP0fHfv1OhbS0XLrmGMnllL5yfGy7qSeWdy83AGSUjX+ROqpNpwCQQSJRS9tYVQEAQMrZzOwKoBPbQNmZt176YK7pFIjD8+ulUSXSCaM+ua09ECsI2vZTkDd6Yz8auvGZ8uWNsRkWN0zb977xA2PDv5t8kj8k5bo/lcUveYKxQmNYv/0//9rdsWHgr9z4yW0rK2NfR5TEvo7a83VFZfy5ASDjRALS6kel05lfAaBvbG/1KhCJmo4BAAC6qS0YVlWHX8OL8kxHAYxjZYWdrX5UCntNp0Ac/rpq38Ha95wjWb/Y98eSr8Xu//HZsV/fc058r/HKltiKhptP7vp+lzO24sKypHVVe9/3YW3s6wWTY0O7u9Lqk26eL/3lKsn9qa2kPv7M69qzfaJzz1d2UwSAg1j3eynQajoFgAwQtSx91NRhOgYAAOihzY38Ow5IlBX2FWiV1j5uOgXisLtVerNcuubYgz/2YDoCUnMX/dQ/18Vuv+7EvW9v9EjfmP/Jr7/3hVhp8e8P937cy5ukLGfs/v25/jnp3nM+WUHxsSlDY1/r9vy7Wd0e+zqRAdsAcGDBNmnt70ynAJABKlq98odZVQEAQKpqDYRV3cHsCoCywq7WPs7VmCni76ulk0dLYwb07nk8AWn8g9KIn0o7mj65/edLYkXCPYv2nn0x/kFp6L2xrZ8+dvTwWOHw+3elsobYbeurY/MxHp4hHT6k69d+eIl01FDp7In73nfWobHCYsGeAuS5tbEh3Tef1LvvFwAywprHpDAfOgAkT2xVBbMqAABIdayuAJhZYU8hr7TqUdMpEKe/rZa+cUrvn8ftkoYXx1ZQ5GfHbrtroXTfa7Gfb6nv+rjPrui480xpaJF0xd+kguzYtlB/vkK6+Miuj3+rPLYy5IXrur4/yyX9d7Z00z+laY9JUUtaOEcaO7D73yMAZBxPjfThPOmom0wnAZCmdrX55A1FTMcAAAC91OwPqdEX1MC8bNNRAGMcFuPm7Wf1Y9KS202nAAAAiVAyXrpui+R0HfyxANBNr1fUqzUQNh0DAAAkwPCiXE0b1t90DMAYtoGym0hQeu8XplMAAIBEaSmTtj5vOgWANNTgDVJUAACQRqra/ayYREajrLCbD/8idewynQIAACTSyodMJwCQhsqamVUBAEA6sSSVt/DvOzIXZYWdRCPSe5zMAAAg7dStlipeNZ0CQBrxhiKq6vCbjgEAABKsosWrSJRd+5GZKCvspGyB1LLNdAoAAJAMXJAAIIHKWzziNAYAAOknGLVU2eYzHQMwgrLCTj74g+kEAAAgWSpfl2reN50CQBqIRC1VtHpNxwAAAEmyja0ekaEoK+yibYe0g+0hAABIa6yuAJAAO9t8CkZYVwEAQLpqD4ZV6wmYjgH0OcoKu1j/R8mKmk4BAACSadu/JU+t6RQAUlwZgzcBAEh7ZayuQAairLADKyp9+CfTKQAAQLJFw9LGv5pOASCF1XsDag2ETccAAABJVuMJqCPIv/nILJQVdrB9odS+03QKAADQF7hAAUAvlDUzqwIAgEzB7ApkGsoKO1j/pOkEAACgrzRulKpXmE4BIAV5QxFVd/hNxwAAAH2kss2ncJRt45E5KCtM89RK5S+aTgEAAPrShj+aTgAgBW1v8Yix2gAAZI5w1NKudi5UQOagrDDtwz/H9q8GAACZY/MzUshnOgWAFGJZlirb+HsDAIBMU9HCFpDIHJQVpm34P9MJAABAXwu2SVufN50CQAqp8wblC7MNBAAAmabJH1JbIGQ6BtAnKCtM2vmG1LzVdAoAAGACg7YBdMOOVq6qBAAgU1W0sroSmYGywiQGawMAkLkql0itFaZTAEgBoUhUVQzWBgAgY1W2+RS1mFyF9EdZYYq/me0fAADIaFZsdhUAHMTOdp+inJ8AACBjBSNRVXPhAjIAZYUpG/8mhflLBgCAjPbhnyWukAJwEJVs/QAAQMbbwfsBZADKClPWzzWdAAAAmNa2Q6pcbDoFABtrD4TV5GeoJgAAma7WE5A/HDEdA0gqygoTqldKDetNpwAAAHaw4Y+mEwCwsR1tDNYGAACSJWlnG6srkN4oK0xgsDYAAPjYtn9JgVbTKQDYkGVZquSkBAAA2IP3BUh3lBV9LdghbX7adAoAAGAXYR/vDQB0qdYbkD8cNR0DAADYRGsgrBa2h0Qao6zoa1uek0IdplMAAAA72fAn0wkA2BCDNAEAwGftauf9AdIXZUVf2/yU6QQAAMBualZKDR+aTgHARsLRqGo6/KZjAAAAm9ndzvsDpC/Kir7kb5F2vWk6BQAAsCNWVwD4lJqOgCKW6RQAAMBuPKEIW0EhbVFW9KXtL0vRsOkUAADAjjb9TbLYmx5AzG5WVQAAgP3YzVZQSFOUFX1p2wLTCQAAgF15a6Wq5aZTALCBSNRSbUfAdAwAAGBTbAWFdEVZ0VfCAalioekUAADAzspfNJ0AgA3UegIKW+wBBQAAutYRiqiVraCQhigr+srOxVKw3XQKAABgZ2WUFQCkKraAAgAAB7GL9wtIQ5QVfWXbv00nAAAAdtf4odRaYToFAIOilqVqTj4AAICDYG4F0hFlRV+wLK6UBAAA8eE9A5DR6jwBhaJsAQUAAA6sIxhRa4CtoJBeKCv6QvUKyVNtOgUAAEgFzK0AMtpuVlUAAIA4MWgb6Yayoi+ULTCdAAAApIpdbzLnCshQlmWpuiNgOgYAAEgRlBVIN5QVfYF5FQAAIF6RoFSxyHQKAAbUe4MKRqKmYwAAgBTRHgyrja2gkEYoK5Kt6SOpabPpFAAAIJWwFRSQkdgCCgAAdFeNh1WZSB+UFcnGFlAAAKC7yv8jWVxdDWSaGsoKAADQTbWUFUgjlBXJxhZQAACgu3z1UtVy0ykA9KG2QEi+MCUlAADonkZfUOEo7yGQHigrkslbJ1VzogEAAPRA+UumEwDoQ3XeoOkIAAAgBUWt2NwrIB1QViTTthfYwgEAAPQMcyuQRNu3b9fdd9+tUaNG6Y033jAdB2ILBwAA0HO8j0C6oKxIJuZVAACAnmrYILVWmE6BBFq6dKnuvvtuFRYWyuFwqKCgQEceeaTOOOMMHXfccRo/frzOPfdcPfnkkwoEkveBMxgM6q233tJLL72knTt39ug51q9fr2nTpikrK0sOh6Pz+znppJPk8/kkSStXrtRRRx0ll8u112NOO+20RH47aSEStdTAFZEAAKCHKCuQLigrkiXkkSpfM50CAACksjJWV6ST008/Xffee6+uvvpqSdIdd9yhDRs2aPHixVq1apVWrlypKVOmaM6cOTrttNPU0tKSlBzZ2dmaNWuWpk+f3uPnmDJlilasWKHnnnuu8zm3bdumd999V3l5eZKkE088UevWrdM///lPSVJOTo62bt2qt956q/ffRJpp9AUVsSzTMQAAQIryhCLqCIZNxwB6jbIiWSpekcJ+0ykAAEAqY25FWhoyZEiXtw8cOFAPP/ywrrnmGr333nu65557kpojJyen189x1FFHSZIGDRqkoUOHdvmYI444QpI0ePBgDRs2rNevmY64GhIAAPQW7yeQDigrkqX8P6YTAACAVLfrDSnYbjoFEszpPPBb8FNPPVWStGTJkqTmcDgcvX4Ol8t10Of6+Ps92Pedyeq8nFwAAAC9Q1mBdMAnhmTZ9abpBAAAINVFglLFItMp0MdWrFghKbYS4dP8fr/uvfdeTZs2TaeffrpGjhypyy67TNu3b9/nObZu3apZs2bpjDPO0JFHHqnjjz++czumA5k0aZIcDoecTqcmT56sRYuS/+fv3Xff1aWXXqpzzjlHY8aM0ec+9zn99a9/7bzf7/fr97//vS655BINGjRIb7zxhl588UXdeuutGjt2rMaOHas//elPkqSnn35as2fP1sSJEzVx4kS9/PLL+7xec3OzvvWtb2nGjBmaOHGiDj30UP36179O+ve5P/5wRK0Btm0AAAC9U+8NKsq2kkhxlBXJ0FEltWwznQIAAKQDtoLKGE1NTbrvvvs0b948ud1u3XnnnXvdf9NNN+mhhx7SggULtHTpUr388stasGCBZs2atdfj3n33XZ100km64YYbtHjxYn3wwQfKzs7WzJkz9fzzzx8ww7e//W0deeSRWrNmjTZt2tSruRbxeO6553TBBRfo7rvv1iuvvKLy8nKdeOKJmjVrlu644w5JUm5urm666Sbl5+ersbFRzzzzjMaNG6df//rXWrdunbKysjR79mx9+9vf1pQpU/Tkk09q06ZNGjt2rK644grV19d3vl5LS4vOPPNMXXzxxXrppZe0ZcsWzZw5U7fddpvuvvvupH6v+1PHVZAAACABIpalBm/QdAygVygrkmHXUtMJAABAutjNMOJ09atf/UonnniiTjnlFI0ePVqDBg3SXXfdpeOPP15vvPGGvvjFL+71+H/9618aNmxY58yLqVOnavLkyVq1alXnY4LBoK666ipdc801+vznPy8ptv3SNddcI0nasGHDfvP89re/1csvv6x33323cxZFvOrr6/WFL3yhyx8fv/Zn1dXVac6cOZo9e7aOOeaYzqyPPvqojjrqKD366KN65ZVXJMW2mRo7dqwk6Yorruicg9GvXz/NmDFD0WhUM2bM0JFHHikptj3VhRdeKI/Ho2XLlnW+5o9+9COddtppnb83DodDP/jBDyRJP//5z9Xe3vfbrrFlAwAASBTeVyDVZZkOkJbYAgoAACRKS5nkrZfyS00nQYLdcccduu+++zp/vXnzZv3hD3/Qb3/7W91zzz169NFHdfjhh3fe/8QTT6i4uLjz15WVlYpGo/L5fJ23vfbaa9qxY0fn3IuP3XLLLZo1a5aKior2yRGNRnX77bcrGo1q/vz5nXMouqO0tFRvvPFGl/dt27ZNhx566D63z5s3T21tbZo2bdpetzudTl1//fW67bbb9Pvf/17nnHOOJMntdkvadz7Gx78nn729sLBQktTa2ipJsixLzzzzjAYOHKgvfOELez129OjRkqTy8vJuFzW9YVmW6rgCEgAAJEiDj/cVSG2UFcnAygoAAJBI1cul8ReaToEkO+yww/TII49o5MiR+ta3vqWTTz5Za9eu1ZgxYyRJV111lcLhsJ5++mnNnz9fY8aM2ecE/ccrJz4+sf9pXRUVkvTTn/5Ub7zxhn7+85/3qKjoqeXLl0uScnJy9rnv+OOPlyRt2rSp168TjUYlSQ0NDWpsbNRPfvIT3XLLLb1+3kRoC4YViERNxwAAAGmixR9SOGopy+k4+IMBG2IbqETz1kuNG02nAAAA6aTqXdMJ0IduueUW5ebmqrW1VXPnzu28fdWqVZoyZYpWr16tefPm6eGHH9agQYP2OtbaM1Rxf9s9+f3+fW67/fbbNXnyZH3/+9+Pawh3oni9XknS7t2797lvwIABkrTXSpLeikQikqTVq1cn7Dl7q5FVFQAAIIEsSc1+3l8gdVFWJBqrKgAAQKJVU1Zkkuzs7M5VEB6PR5JUVVWlM888U0cccYQefvhh5efnd3nsx9stPfHEEwoE9t6z2LIsPfjgg/scU1xcrJdfflmDBg3Stdde27niIdmmTp0qSVqxYsU+9328tdXJJ5+csNcrLS1VYWGhnn32WVVUVOxz/zPPPKPKysqEvV48GtmqAQAAJBjvL5DKKCsSjbICAAAkWs17UjRiOgUS5OPVD/vzzjvvqL6+XpJ0/vnnS5Lefvtttba2atiwYV0+18dfp0+frv79+2vXrl269tpr1dLSIklqbm7WddddpwkTJnR57NixY/Xvf/9blmXpoosuUllZWVzfSzgclvTJqoWuBIOxD8wfb8f0sdmzZ8vtduu5557rzPmxtWvXyu1268Ybb+y87ePj9/f7d7DbXS6XLr30Unk8Hp111ll6991PSsAlS5boj3/8o0aNGrXf7yMZGnyhPn09AACQ/hp5f4EURlmRaAzXBgAAiRbySPUfmE6BBKmpqZG078l1y7L0/PPPa+bMmZKkm2++WdOnT5cUm2chxYZSz58/X6+//rquv/56bdmyRZL00ksvae7cuSosLNTvfvc7OZ1O/eMf/9CQIUM0ZswYDR48WC0tLfryl7/c+Xrl5eWSpF27dkmKrWJ44IEHVF9fr7PPPltbt2496PfywQexP5f19fVdrlaQpPfff1+SVFdX1/m9S7FVIL/61a/k8Xj01a9+tXM1RWVlpX72s5/pF7/4hSZPntz5+I/zbN++fa/n37ZtmyTt8/of3/7pxz/00EMaOXKkysrKdPLJJ2vo0KEaMmSIzjvvPP385z8/6PebSN5QRL4wJSQAAEisJl/woBfHAHblsPjTmziBNunx/pLFkDwAAJBgZz4uHf110ynQC0uXLtWiRYv0yCOPyOfzyeFwaNSoURo6dKhCoZCqqqrkdrs1depUzZ49WxdffPFexz/22GN68MEHFY1GdfbZZ+uBBx7QU089pfvuu0+XX365Hn/8cRUWFkqSXn31Vd19991as2aNBgwYoK9+9av68Y9/rJycHFVWVmrGjBlav369JKmwsFDnn3++nn32WR1++OGdQ61zcnJ0/vnna/78+ft8L+vXr9fs2bO1du3azpUThYWFOvroo7Vo0SLl5eVp5cqVuuWWW7RmzZrOlRf5+fk69thj9dZbb3U+10svvaSHHnpIlZWVmjRpknJzc3XLLbfonHPOkRRbtXHiiSd2zprIy8vTeeedp8cff1znnnuu1q1bJym2fdZpp52m//znPzrllFO0evVqRaNRuVwuXXDBBVqwYIEkqbq6Wj/84Q/14osvqr29XSeeeKIeeughnXTSSYn5Dx2nnW0+vVfd0qevCQAAMsOZowepONdtOgbQbZQVibTjNemfZ5tOAQAA0tHkL0vn/9V0CgAJsra2VeUtXtMxAABAGjp6cD+N619gOgbQbWwDlUjVfTOMEAAAZCCGbANppYnhlwAAIEkYso1URVmRSJQVAAAgWVrKJG+96RQAEiAStdQaCJuOAQAA0hRDtpGqKCsSqXqF6QQAACCdcWEEkBaa/SGxFy8AAEgWbzgibyhiOgbQbZQVidK8TfI1mE4BAADSWRVbQQHpoMnP1gwAACC52HISqYiyIlG40hEAACQbcyuAtNDE1gwAACDJmvy830DqoaxIFMoKAACQbDXvSVGWcwOprpmVFQAAIMlaA5QVSD2UFYlCWQEAAJIt5JHqPzCdAkAvBCNR+cJR0zEAAECaaw2ETUcAuo2yIhHCfk4cAACAvsFWUEBK4ypHAADQF4KRqHwM2UaKoaxIhMZNUpQPHQAAoA8wZBtIaVzlCAAA+goXSSDVUFYkQtNm0wkAAECmYGUFkNLaOGkAAAD6CBdJINVQViQCZQUAAOgrLWVSoNV0CgA9xEkDAADQV1hZgVRDWZEIlBUAAKAvNX9kOgGAHrAsS22UFQAAoI9QViDVUFYkQjNlBQAA6EOUFUBK8oQiiliW6RgAACBDtAcjCkd574HUQVnRW1ZUat5qOgUAAMgkTZQVQCri6kYAANDXmJeFVEJZ0VttO6Swz3QKAACQSVq4UAJIRcyrAAAAfY33H0glWaYDpDzmVQAAgL7GNlBASmJlRe+0Njboucd/qbINH0gOh3yeDp11+dW6YNZsOZ2fXIdXt3uX/vbL+7XunTcV8Pk0fNx4nXv1dTpr5tVyOBxxvVbtrko9+5tfqLpiuyKRsCLhkC687mv6wsWXd/n4VW++rvlP/FoOp1ORUFjnXvNVff6iy/Z6jKe9TX9+8MfavmmD/F6fTjhzuq79zo/2yv5p65e/o5f/Mlfff/xPcecGAOCzeP+BVEJZ0VtNW0wnAAAAmYYtKIGUxHDtnmuqrdEPr75YJ593oR545kU5nU6Vb1yvn95wlSo2fahvPvSYJMnT1qq7vnyJWhrqVTKoVD5Phyo2b9Tv7/6uKjZ/qDl3P3DQ19qxZZN+/JXLdcU3v6NbH/q1JGndO2/qZ7dcp5od23Xlrd/d6/GvPvd3/fGBu3T/Uws07vApqtu9S9+feZ4aa6r0pRu/2fm43/y/29RQtUs/e+4/qt25Q7fP+IIGDRmmC2bN7vL7/fuvHtSP/vA3igoAQK/w/gOphG2geouVFQAAoK8F2yRPrekUALohHI3KE4qYjpGy5v70Tvl9Xl19xw86VyKMO3yKrr7jB3pjwT/01ovzJUnP/u8vdcIZ5+j/3l6nJ5a8r3krNumsmddIkhY+9WdVfnTwz2+/+cFtKh02Quddc13nbUed8nnN+MqN+ufvHtXm1Ss7b6/esV1/vP8uTb/iWo07fIokafDwEZoxa46efuzn2rZ+nSSpsbZa773+io6cdqqy3G4NHzdBQ8eM0yvP/GWf14+Ew/rND27TnLseUGFxSc9+wwAA2KMjSFmB1EFZ0VuUFQAAwAS2ggJSSkeQoqKn/F6v3l/yqg4ZMUoul2uv+045/yI5XS698KcnJEkOh1Oz77q/8yR/XkGBbvrJQxp7+JGSpMqtB/78trt8m7Zv3KAho8fsc99pMy6VZVl64U9/6Lzt308+rmDAr+O+cNZejz3qlM8rGono3//3W0lSY3WVJCknP6/zMYX9itVQvXuf1/nbL+/XSdNnaPyRUw+YFQCAePgjUYWjlukYQFwoK3qLsgIAAJhAWQGkFE+Iqxp7ytfRrmgkosaa6n3uyy8sUvGAQXvmQHg163t37fMYp9OpI044WZI0ePjIA75WR2uLJHX5WkNHj5UkbVq1QpIUjUb13uJFkqTRkw7f67FjJx8hp9OpNUsXKxKJqHT4SDmdTnW0NHc+prWpUaWfybPi1f+qtalR06+89oA5AQDoDt6HIFVQVvSGv0XysgUDAAAwgLICSClsAdVzxYNKVTKoVE11Nfpo3ep97vd7PbIsS+0tTfusvPjkMR0aNna8Dj3q2AO+1vBxE5Tlztb2jRtUt3vX3s/h6ZCkzsKhua5GrY0Nys7NVfGAgXs91pWVpbzCIvm9HtVWVqh/6WCdOuNSvb/kVXW0tmjTqhWqqazQhV+9sfOY6h3b9cKffq+b7vnZwX9TAADoBg8rPJEiKCt6g1UVAADAFIZsAymFsqLnnE6nrv3uXXI4HHr8h99S9Y7tkiRfR4demjdXvj0lQn5hUZfHh4JBrV66RF/7yc8POqy6sLhEM79+u4IBv37z/VvVXF8nSWprbuzc0im3oFCS1NLQcMDXzSsokPTJao2v3/cLff7imbr/xmv1zK9/oW/+7DGddfnVkqSA36fH77xDX7/vl8rJy5envU1P3PP/9IMrLtQvbrtRVRXlcf1eAQDQFVZWIFVkmQ6Q0igrAACAKaysAFIKVzT2zhcuvlzDRo/Vgj/+Xg9943oNHztBIyYcqqDPJ0kqHTZCBf2Kuzz2P3/9P33hkpk64sST4nqty2++XeOOmKqFT/1ZP7n+Co069DCNnXxEZ3Ex9rAjJEmhYECSlOV2d/k8kXBkr/vd2Tm6+vbvS7d/f5/HPvnTH+q8L1+v4eMmyLIs/ezmr8rlztJ9T/1bz/3vL/Wjay7RYy+9oaL+A+L6HgAA+LQOLppAiqCs6A3KCgAAYEprmWRFJQcLZYFU4OWKxl6bePRx+u6v5+512w+vvliSdNK5M7o8pmzDB6qqKNfNP324W6917Oln6NjTz+j8dTQa1c1nnrjXa/XbUxwE9hQmn+XztEuSigcOOuBrvfbPp5RXUKhTzrtIkrR59UptfH+5brn/EblcLn3hkpn65+8e1aJn/6bLvnZrt74PAAAkyRPkfQhSA59ue4OyAgAAmBL2S+07TacAEAfLsuQNc0Vjoq156w1tXv2ecvMLdNFXb9rn/tpdlVr64nzd+OMHe/1arz73NzVUV2ngkKE647IrJUmHjBqj3PwCdbS2KBjw7/V4X0eH/F6v+vUfoP6Dh+z3ebdv2qC3XvyXZn33k8HgWz9YK0kaOGSoJGnQ0OF7bt93XgcAAPFgO0qkCsqK3qCsAAAAJjWxFRSQCnzhqKKW6RTpxdPepv+770dyOBy69aFfq//gQ/a6v3ZXpRY//4xmfe8uubJ6t6FAQ/VuPf3oQ3Jn5+g7j81VTm6eJMnlcun4L54ty7JUsXnjXsfs3LZFknTs58+S09n1x25Pe5v+cM8PdOtDj+21lVQ0Gjuh5NwzLLzz+IPM2wAAYH+8oYiiFm9GYH+UFT0VCcW2XwAAADCFuRVASmCoZWIF/D79/Bs3qHZnhWZ99y5NO/u8ve7fsWWTlr7wvK745nfk2nPCX4rNmHjq0YfUWFPVeZvP4+kcgN2V9uYm3Xfjl+X3enXLA49o4lHH7nX/JbO/LqfLpZWvLdzr9lVvvi5XVpYumf31/T7343d+S1fe+h0NHDJsr9tHT5wsSWptjA3wbq6vlSQNGzNuv88FAMCBWIoVFoDdMbOip1q3S1E+dAAAAIMoK4CUwNYLiRGNRrX+3bf0xwfuVltzk3409+866pTP7/WYdcuW6pE7vqZ+AwZq6Yvz9zq2pb5OIw+dFBtyLcUKiOknye/16NGX3tTg4SM6Hx8OhfTe66/ojw/+WO7sbD3w9AKNO2LqPpnGTj5SV37zu1rwx9/prJlXa8ioMdqxZZP++/c/adZ379LICRO7/F7+/X+/1ZjDDt8nvyRNPek0jZo4WStff0WnXnCJlv33RWW5s3XOVV/p0e8bAABS7P1IYTangmFv/AntqY7dphMAAIBM17LVdAIAcfAEKSt66xe33aht69eqeOAgnX7hZTr36q+ooF/xXo9Z89YbevDmWYqEw/tdLXH6jEs7f+7KytKAQ4bI09qqnLy8ztvvvPJCNdbVqHTYCF06++s6c+bVnVs/deWyr92q/qWD9cgdX1NOXr4sWfrGg7/SiWee2+XjN76/QhtXLtf/+92fu7zflZWlH839m564+/v6f/9zgaLRqH409+86ZMSo/WYAAOBgPMGwVJBjOgZwQA7LYsOyHtnynPTSFaZTAACATFYyXrphm+kUAA5iZVWzdrX7D/5AAACAJJk0oEBHlPYzHQM4IGZW9JS33nQCAACQ6dp3mk4AIA6+MCsrAACAWf5I1HQE4KAoK3rKR1kBAAAMiwSlYIfpFAAOwh/m5AAAADArwPsRpADKip5iZQUAALADf6PpBAAOIsCVjAAAwDAunkAqoKzoKV+D6QQAAACSr8l0AgAHEIlaCkcZEwgAAMwKRNiWEvZHWdFTbAMFAADsgJUVgK2xqgIAANhBIBKVZXEBBeyNsqKnKCsAAIAd+CgrADujrAAAAHYQtaQQqz1hc5QVPcXMCgAAYAesrABsLRBmywUAAGAPft6XwOYoK3rCsjgxAAAA7MHPzArAzlhZAQAA7IL3JbA7yoqe8DdL0bDpFAAAAGwDBdgcJwUAAIBd+MO8L4G9UVb0BPMqAACAXbDaE7C1ACcFAACATfC+BHZHWdETzKsAAAB2wTZQgK2xsgIAANiFP8LMCtgbZUVPsLICAADYBdtAAbZGWQEAAOyC9yWwO8qKnqCsAAAAdsE2UICtsd0CAACwi3DUMh0BOCDKip5gGygAAGAXrKwAbC0UpawAAAD2QFkBu6Os6AlWVgAAALsItEgWJ0MBu4pYnBQAAAD2EKGsgM1RVvQEKysAAIBdWFHJ32I6BYD94KQAAACwizArPmFzlBU9wcoKAABgJ8ytAGyL7RYAAIBdhFnxCZujrOgJX4PpBAAAAJ9gbgVgS1HLEqcEAACAXXARBeyOsqInwn7TCQAAAD7hbzKdAEAX2AIKAADYCe9NYHeUFT3BEEsAAGAnbAMF2BJbLQAAADthZQXsjrKiJ6yI6QQAAACfCLabTgCgC1y9CAAA7MQS709gb5QVPcHKCgAAYCdRLqQA7IiTAQAAwG5Y+Qk7o6zoCcoKAABgJ1bYdAIAXeBkAAAAsBsupoCdUVb0BNtAAQAAO2FlBWBLnAwAAAB2E45yETbsi7KiJ1hZAQAA7IQLKQBbYmUFAACwG66lgJ1RVvQEZQUAALATygrAlqKUFQAAwGZ4dwI7o6zoCcoKAABgJ2wDBQAAACAu1BWwL8qKnuDqRQAAYCe8NwFsyWE6AAAAwGew8BN2RlnRE6ysAAAAdhINm04AAAAAAECvUFb0BGUFAACwE1ZWADbF2goAAGAvLKyAnWWZDpCSOCEAIBEOOV46/eemUwBIB/1Gm04AoAtUFQASJdvl0PiSAg3KzzYdBUCK65fN6WDYF386e4KVFQASoWikNOqLplMAAIBkoa0AkCDBiKVNjR0a6HVr0sBCDSnINR0JAICEo6zoCcoKAImQXWQ6AQAASCK6CgCJ1ugLadmuZpXkZGnSwEINK8yVw8HfNgCA9EBZ0RNsAwUgESgrAAAAAPRASyCsFVUtKsrO0sQBBRrZL09OSgsAQIpjwHZPsLICQCJQVgAAkNY4bQgg2dqDYa2qadWi7fUqa/YoEmV0LgAgdVFW9ARlBYBEoKwAAAAAkADeUETr6tq0sLxOHzV1KBzlvAUAIPWwDVRPUFYASAR3oekEAAAgmVhaAaCPBSJRbahv10eNHRrXv0AT+hco29XN61Q7qqTVv5badyYnJIDM8cVHpfxS0ymQQigrustiSSWABGFlBQAAac1BWwHAkGDU0ubGDm1r8mhsSb4OHVCg3CxXfAcXDpNOuVf68C/Sew9JLduSGxZA+jrtQdMJkGLYBqq7HA4pK9d0CgDpgLICAIC05qKrAGBY2LK0tdmjheV1WlPbKk8oHN+Brmxp6mzpus3SBU9Lg6YkNyiA9OTg1DO6hz8xPZHT33QCAOmAsgIAgLSW5eTjFgB7iFrS9havFpXX6/3qFrUH4iwtnC7psCulWeukS16Qhk5LblAA6YWyAt3En5ieyCkxnQBAOnBTVgAAkM6ynCytAGAvlqTKNp9erajX8t3NavaH4jvQ4ZDGXyhdvVya+bo06oyk5gSQJhxxbj8H7MHMip6grACQCKysAAAgrVFWALCzqg6/qjr8OqQgR5MGFGpQfnZ8B446I/ajeoW04gGp7EXFahAA+AxWVqCb+BPTE7lsAwUgASgrAABIa5QVAFJBrSegpTsb9WZlg2o8/vgPHDpNumRBbIuow67iCmoA++LvBXQTZUVPsLICQCJQVgAAkNaYWQEglTT6Qlq2q1mLK+q1u90ny4pztUTpFOmCp2LDuKfMjg3nBgCJlRXoNv7E9ARlBYBEcBeaTgAAAJKM1RUAUk1LIKwVVS16raJBO1q9isZbWvSfIE2fK91QJh17m5SVn9ygAOwvK9d0AqQYyoqeyC0xnQBAqnO6pawc0ykAAECSUVYASFXtwbBW1bRq0fZ6lTV7FInGWVoUjZC++Kg0p0KadqeUU5zMmADsypVNWYFuo6zoiRxmVgDoJbaAAgAgI7gpKwCkOG8oonV1bVpYXqePmjoUjkbjOzC/VDr1fmnOjtjXvNLkBgVgL9n9TCdACqKs6Am2gQLQW5QVAABkBOZWAEgXgUhUG+rbtbCsThsb2hWMxFla5BTHVljMqYituCgckcyYAOyCsgI9wDvnnmAbKAC9RVkBAEBGYBsoAOkmGLW0ubFDC8vqtL6uTf5wJL4D3fmxWRazy6Sz50olE5IbFIBZlBXoAcqKnmAbKAC95aasAAAgE1BWAEhXYcvS1maPFpbXaU1tqzyhcHwHurKlqbOl6zZLFzwtDZqS3KAAzMihrED3ZZkOkJJYWQGgtxK8sqLZH9QHde0JfU4AmWlkUa7G9S8wHQNIG262gQKQ5qKWtL3Fq4oWr0b2y9OkAYUqyonjdJPTJR12pTTpCqn8JWnF/VL1iuQHBtA3sotNJ0AKoqzoCWZWAOitBJcVvlBUjb5gQp8TQGYamOc2HQFIKzkuygoAmcGSVNnmU2WbT8MKczVpYKH658bxvsLhkMZfGPtRuThWWlQuTnpeAEnGygr0AGVFT7ANFIDeyi5M6NOFo3EOtwMAAH0qN4uyAkDmqerwq6rDr0MKcjRpQKEG5WfHd+CoM2I/qldIy++PrbiQldSsAJKEmRXoAd4590ROsST2ngXQCwmeWRGK8gYeQGI4eI8DJFRulst0BAAwptYT0NKdjXqzskE1Hn/8Bw6dJl36gjRrnXTYVZKDv0uBlENZgR6grOgJpyvhV0UDyDAJ3gYqTFkBIEEcdBVAQrGyAgCkRl9Iy3Y1a3FFvXa3+2RZcX5+KZ0iXfBUbBj3lNmx4dwAUkMOMyvQfbxz7im2ggLQG5QVAGyKrgJIrFwXVwMDwMdaAmGtqGrRaxUN2tHqVTTe0qL/BGn6XOmGMunY26Ss/OQGBdB7rKxAD1BW9FRuiekEAFJZwssKZlYAAGBHrKwAgH21B8NaVdOqRdvrVd7sUSTei6+KRkhffFSaUyFNu5MrtwE7Y8A2eoB3zj3FygoAvcHKCgA25WQfKCCh3C6nXPxvBQBd8oYiWlvXpoXldfqoqSP+i7DyS6VT75fm7Ih9zStNblAA3cfKCvQAZUVPFY00nQBAKkt0WRHv8mkAOIgsJ2dVgUTLYcg2ABxQIBLVhvp2LSyr08aGdgUjcZYWOcWxFRZzKmIrLgpHJDMmgO5g5RN6gLKip0ommE4AIJW5WVkBwJ4oK4DEy3XxsQsA4hGMWtrc2KGFZXVaX9cmfzgS34Hu/Ngsi9ll0tlzOWcD2AG70qAHeNfcUyXjTScAkMqYWQHAprKcvD0EEi2XlRUA0C1hy9LWZo8WltdpTW2rPKFwfAe6sqWps6XrNksXPC0NmpLcoAD2r3C46QRIQXwa7SnKCgC9kV2Y0KdjZQWARHGzsgJIOIZsA0DPRC1pe4tXi8rr9X51i9oDcZYWTpd02JXSrHXSJS9IQ6clNyiAvWXlSfmDTKdACuJdc09RVgDojQSvrAhRVgBIELaBAhKPsgIAeseSVNnm06sV9Vq+u1nN/lB8Bzoc0vgLpauXSzNfl0adkdScAPYoYn4MeoZ3zT2VP1hyJ/bKaAAZhJkVAGyKsgJIvHy2gQKAhKnq8GvJjga9s6tJDd5g/AeOOiNWWFy9XBp3oSTe8wBJw7B79BBlRW+wugJATzGzAoBNMbMCSLwCd5bpCACQdmo9AS3d2ag3KxtV4/HHf+DQadKlL8S2iDrsKslBoQwkXNFI0wmQonjX3Bsl46X6daZTAEg1rhzJ5U7Y00UtSyysAJAorKwAEq8gmxNhAJAsjb6glu0KqiQnS5MGFmpYYa4cjjjez5ROkS54Sjr5Xum9h6SNf5Ei3VipkYG8QWn4T6UWX9f3Ox1S3T3SwIIDP08wLD2zVnpkqfToRdIXJuz/sX95X3r8HSnXHZth8sMzpXMP2/sxVa3SN/4lVbZIbX7pxs9J3/nCgZ9zRaX0+JcOnBO9QFmBHqKs6I1iVlYA6IGEr6qgqQCQOAzYBhIvN8sll8OhiMW/2QCQLC2BsFZUtagoO0sTBxRoZL88OeMpLfpPkKbPlU76sfT+L6QP5kphb/IDp6Cn1sSKikOKpOLcvTfSqm6Xjh9x8KLine3S/PXSH1ZIHYEDP/auhdLv35VW3S6N6i+t3iWd9rg0d6Z09bGxx1iWNOOP0vB+0nu3Sa9tlab/QZpYKl10xL7Pub5a+uNKadGN3fnO0W3MrEAPUVb0BttAAegJygoANuVyKL4rEQF0W4HbpbZg2HQMAEh77cGwVtW0alNjhyb2L9Do4ny54rkYo2iE9MVHpWk/lFY/Kq19XAq0JjtuSnl5k7TiVunEUfved9hD0rXHHfw5Thkb+xEIS48v2//j3iqX7n9d+tVFsaJCko4dIV1zrHTT89Jp46SRJdKyCmnNbum6E2Lz1M+eKOVmSb9btm9Z0e6Xbvyn9OyXpWzOiCYXKyvQQ2xK3BuUFQB6gnkVAGyKeRVA8rAVFAD0LW8oorV1bVpYXqePmjri/9yUXyqder80Z0fsa15pcoOmiI6A9JPpXRcV71XGtmC6bEr8zzcg/8D33/vqnlUTk/e+ffrEWJbfvB379c6W2NeC7E8e0z8/luezZv9DuvusT8oPJBFlBXqIT6S9QVkBoCfchQl9OlZWAEgU5lUAyVPIkG0AMCIQiWpDfbsWltVpY0O7gpE4S4ucYmnandKcitiKi8LM3tamMEeaOqzr+/66Wrr4CKkoN/7nO9Dbzhaf9EZZrIAYP2jv+47b85/hxY2xr+MGxr42emJfo9HYz8d8ppD41dLY1lDnfab8QJJk+P8v6DnKit4oGiU5EzckF0CGSPDKihBlBYAEoawAkqeQ/SYAwKhg1NLmxg4tLKvT+ro2+cOR+A5050vH3ibNLpPOniuVHGAadAYKR6Rn18a3BVS8NtRI4Whsm6fP+nhFxpb62FZSJ46SThsbG9gdDMfmagQj0h2nf3LMsgrp1Y9iK0PQB7LypbwBplMgRVFW9IbTJfUbbToFgFTDNlAAbMrNNlBA0hSyDRQA2ELYsrS12aOF5XVaU9sqTyjOeUKubGnqbOm6zdL5T0mDurHnURp7ZUvs6/SJiXvO2vbY1+IuVmoU5cS+WpbUvGcO+ovXSyeNlj7/O+kvq6T/3CCdtSdPfYf0rRekeVdKTqe0u1W69inppN9I1z3zyWshgdgCCr3AJ9LeYisoAN3lZsA2AHvKy+KtIZAsrKwAAHuJWtL2Fq8Wldfr/eoWtQfiLC2cLmnyVdKsddIlL0hDpyU3qM39bbV05dFSVgI7+Y//U3TV84c/da3ex/+0FudJ//sl6d1vSotu/GSrp2hU+soz0iMXSaWFkj8kffF3kssZe2w4Gvt1MM7/9IhTEVtAoef4RNpbxZQVALop4SsrKCsAJEZuIj9lAthLXpaLrdYAwIYsSZVtPr1aUa/lu5vV7A/Fd6DDIY2/ULp6uTTzdWnUGUnNaUftfmnBh9KXj03s8w4qiH31dvGfoi0Q+5rllPrnHfh5frwotuLj5DGxX//zA2lrg/SV42O//srx0qa62O1IIFZWoBcoK3qrP3sVAugmygoANpXLygogqRiyDQD2VtXh15IdDXpnV5MavMH4Dxx1RqywuHq5NO5CSZlRTj+/XhpVIp0wKrHPO3Vo7GtV27731ey5bcrQWF+0P//dJG2pk27/1OyKlTtjX0cUx76O2jOEe0Vl7/LiMygr0At8Iu0tVlYA6C5mVgCwqTxWVgBJVcTcCgBICbWegJbubNSblY2q8fjjP3DoNOnSF2JbRE26UnKk99/7f12V2MHaHxvSLzaDorpt35kSG2piXy86fP/H72iSfvqa9OT/7H17ZM9HZ9ees6EfL3g8UOmBHhhwmOkESGGUFb3FzAoA3cXKCgA2xTZQQHIV57pNRwAAdEOjL6hlu5q1uKJeu9t9sqw4P3uVTpFmPB0bxj1ldmw4d5rZ3Sq9WS5ds58toJq9Ukdg/8d//DF2f7+jP9izq9a/N+x9+8ubpJI86ZZTuj4uGI7NqXjicqnfZwZ0TxkS+1rXEftavWeVxsRB+8+JHhh0pOkESGGUFb1VPE5y8NsIoBsSXFaEKCsAJAjbQAHJVZJDWQEAqaglENaKqha9VtGgHa1eReMtLfpPkKbPlW4ok469TcrKT27QPvT31dLJo6UxA/a9b0eTNOKn0vgHJc9+CoudLbGvu1q7vv/CI6Q506SHlkgNnthti7dK89dLcy+PDczuyh0vSNefGNsm6rOuPEYaUhSbsyFJz62LzcfYX+GCHnC4pP6TTKdACuMTaW+581jeBKB73Pt5V9VDrKwAkChsAwUkFysrACC1tQfDWlXTqkXb61Xe7FEk3s9iRSOkLz4qzamQpt0p5RQnM2af+Ntq6cv72QIqzy0dUiQNL5bcn3l7+fJG6ZhHpD+/H/v1jf+QPvdrqb5j3+d54nLp5pOk6X+QPv9b6cHF0sI50uVHdf26T6+RwlFp1vFd31+SJ71+k/RuhXTSb6S1VdJrN0nFBxnUjW4omSBl5ZhOgRTmsOJew4b9Wni99OGfTKcAkCouf1UafVbCnu7tnY2q687wNwDogtvp0IWHDjEdA0h7/y2rlS/MvCkASAe5LqcmDCjQuJJ8ZTm7cT1woFVa+7i06lHJV5+0fECfO/RL0kXPm06BFMbKikQYeqLpBABSCTMrANgQ8yqAvlHMVlAAkDb8kag21LdrYVmdNja0KxiJs4zOKY6tsJhTEVtxUTgimTGBvjOQeRXoHcqKRBhCWQGgGygrANhQHvMqgD5RwlZQAJB2glFLmxs7tLCsTuvr2uQPR+I70J0fm2Uxu0w6e25sCx0glQ06wnQCpDg+lSZC6VQpK9d0CgCpwk1ZAcB+WFkB9A1WVgBA+gpblrY2e7SwvE5ralvlDYXjO9CVLU2dLV23WTr/KWnQlOQGBZJlIGUFeoeyIhGcWdLgY02nAJAqEr2ywmLfawC9l8vKCqBPlORmmY4AAEiyqCVtb/HqlfJ6vV/dovZAnKWF0yVNvkqatU665AVp6LTkBgUSyemW+k80nQIpjk+licJWUADixTZQAGwoj5UVQJ8ocGfJ7XSYjgEA6AOWpMo2n16tqNfy3c1q9ofiO9DhkMZfKF29XJr5ujTqjKTmBBKi/0TJxQpS9A5lRaJQVgCIR1Ze7GqZBIlalugqACRCvpuyAugrbAUFAJmnqsOvJTsa9M6uJjV4g/EfOOqMWGFx9XJp3IWSKLxhU2wBhQSgrEgUluYBiIe7MKFPF6KpAJAghdlsTQP0FYZsA0DmqvUEtHRno96sbFSNxx//gUOnSZe+ENsiatKVkoMLTWAzDNdGAlBWJErJOClvkOkUAOwu4VtAMa8CQO85JBWwsgLoM8U5lIMAkOkafUEt29WsxRUN2t3uk2XFeSFa6RRpxtOxYdxTZseGcwN2wMoKJABlRSINOcF0AgB2x7wKADZUmO2S08GWAkBfGZjHiSUAQExLIKQVVS16raJBO1q9isZbWvSfIE2fK91QJh17m5SVn9ygwMEMOtJ0AqQByopEGsJWUAAOgrICgA2xBRTQtwqzs5Tj4qMYAOAT7cGwVtW0atH2epU3exSJ97Ne0Qjpi49KcyqkaXdKOcXJjAl0zZUjlUwwnQJpgHfIiTSUIdsADoKyAoANFVFWAH2O1RUAgK54QxGtrWvTK+V1+qipI/6tf/NLpVPvl+bsiH3NK01uUODTSo+SnGwri96jrEikIZQVAA7CzcwKAPbDygqg7w3Kp6wAAOyfPxLVhvp2LSyr08aGdgUjcX72yymOrbCYUxFbcVE4IpkxgZihnzOdAGmCsiKR8gZKxeNMpwBgZ6ysAGBDrKwA+h4rKwAA8QhGLW1u7NDCsjqtr2uTPxyJ70B3fmyWxewy6ey5bNGD5BrK1vhIDMqKRON/TgAHQlkBwIZYWQH0vZKcLGU5GWwPAIhP2LK0tdmjheV1WlPbKm8oHN+Brmxp6mzpus3S+U9Jg6YkNygyEysrkCCUFYnGVlAADiS7MKFPF6KsANBL2S4Hg34BAxwOhwbkuk3HAACkmKglbW/x6pXyer1f3aL2QJylhdMlTb5KmrVOungBF9sicfJKpRJ2mkFi8Mk00SgrABwIMysA2Eyhm1UVgCnMrQAA9JQlqbLNp1cr6rV8d7Oa/aH4DnQ4pAkXSVcvl2a+Lo06I6k5kQH6uPhaunSp7r77bhUWFsrhcKigoEBHHnmkzjjjDB133HEaP368zj33XD355JMKBAJ9mg29R1mRaIccKzm5QgrAfrANFACbKcqhrABMYW4FACARqjr8WrKjQe/salKDNxj/gaPOiBUWVy+Xxl0oie0J0QN9vAXU6aefrnvvvVdXX321JOmOO+7Qhg0btHjxYq1atUorV67UlClTNGfOHJ122mlqaWnp03zoHcqKRMvKlQ45znQKAHZFWQHAZopYWQEYMyA3W4ytAAAkSq0noKU7G/VmZaNqPP74Dxw6Tbr0hdgWUZOulByu5IVE+jE0r2LIkCFd3j5w4EA9/PDDuuaaa/Tee+/pnnvu6dtg6BXKimQYe57pBADsKuFlBdtAAegdhmsD5ricDpXksCobAJBYjb6glu1q1uKKBu1u98my4rzIrXSKNOPp2DDuI2+IDecGDsSZJQ0zU1Y4nQc+rX3qqadKkpYsWdIXcZAglBXJMPZ80wkA2BUrKwDYTHEuZQVgEnMrAADJ0hIIaUVVi16raNCOVq+i8ZYW/SdI5zwp3VAmHXublJWf3KBIXYOPkdwFplN0acWKFZKkwYMHd97m9/t17733atq0aTr99NM1cuRIXXbZZdq+fXvnY5YvX67vfe97OvTQQ/XnP/9Zf//73zVixAiNHj1aW7Zs6fPvI9NQViTDIcdJ+YeYTgHAjigrANhItsupAraBAowqzc8xHQEAkObag2GtqmnVou31Km/2KBLv58iiEdIXH5XmVEjT7pRyipMZE6lo+KmmE+yjqalJ9913n+bNmye3260777yz876bbrpJDz30kBYsWKClS5fq5Zdf1oIFCzRr1qzOxzgcDu3YsUPbtm3Tiy++qEAgoNmzZ6uoqEjBYDdmwqBH+HSaDA6HNPZc6cN5ppMAsBs3ZQUA++ify/YzgGmD8rLlcjgUifdqVwAAesgbimhtXZs2N3ZowoACjSvJV9ZBttKRJOWXSqfeL53wPWnt49KqRyVffdLzIgUMP810Av3qV7/SokWL5Ha7tWvXLu3cuVOWZemEE07Qo48+qpNPPrnzsf/61780bNiwznkXU6dO1eTJk7Vq1arOx0ybNk1nnXWWnnvuOY0YMULXX3+9JDH7oo+wsiJZ2AoKQFcSvLIiRFkBoBcoKwDzXE6HStkKCgDQh/yRqDbUt2thWZ02NbQrGIlzFmJOcWyFxZyK2IqLwhHJjIlUYIOVFXfccYdWrlypd955Rzt27NDGjRt1xx136IMPPtA999yjjRs3dj72iSee0GOPPdb568rKSkWjUfl8vr2e0+2OfU465phj+uabQCdWViTL6OmxITPRsOkkAOwkuzChT8eAbQC9QVkB2MMhBTmq8QRMxwAAZJhg1NKmxg5tbfJobEm+Dh1QoNws18EPdOfHZlkcdbP04V+k9x6SWrYlPzDspf+k2KobmznssMP0yCOPaOTIkfrWt76lk08+WWvXrtWYMWN01VVXKRwO6+mnn9b8+fM1ZswYORwO05HxKaysSJbcEmnoSaZTALAbd6LLClZWAOi5EsoKwBaGFDC3AgBgTtiytLXZo4XldVpT2ypvKM4Lb13Z0tTZ0nWbpfOfkgZNSW5Q2IsNVlUcyC233KLc3Fy1trZq7ty5kqRVq1ZpypQpWr16tebNm6eHH35YgwYNMpwUn0ZZkUzjLjCdAICdZOVLzjiuUolTJGqJqgJAT+VmOZUXz5VzAJKuIDtLhdn8/wgAMCtqSdtbvHqlvF7vV7eoPRBnaeF0SZOvkmatky5eIA2dltygsIfRZ5tOcEDZ2dkqKoptxe3xeFRVVaUzzzxTRxxxhB5++GHl5+cbToiuUFYkE3MrAHxagudVsAUUgN5gCyjAXoYU5JqOAACAJMmSVNnm06sV9Vq+u1nN/lB8Bzoc0oSLpKuXSzNfl0adkdScMMjhksZMNxrBsg58+eY777yj+vrYIPjzzz9fb7/9tlpbWzVs2LAun6er54tEIglKi3hRViRT6RSpaKTpFADsIuFlBesqAPQcZQVgL4ewFRQAwIaqOvxasqNB7+xqUoM3GP+Bo86IFRZXL5fGXSiJuQBpZejnpNz+RiPU1NRI2rdksCxLzz//vGbOnClJuvnmmzV9+nQddthhkqR58+Zp/vz5ev3113X99ddry5YtkqSXXnqpc7uo8vJySdKyZcv65HvBJxzWwWoo9M6rN0kf/MF0CgB2MPgY6drVCXu6Vn9Ir+9oSNjzAcgsp4wYwMlRwEYiUUsvbatVhI9nAAAbG5iXrUkDC7q/IrB+vbTiAemjf0gWV6unvFPukz73QyMvvXTpUi1atEiPPPKIfD6fHA6HRo0apaFDhyoUCqmqqkput1tTp07V7NmzdfHFF3ce+9hjj+nBBx9UNBrV2WefrQceeEBPPfWU7rvvPl1++eV6/PHHNWPGDL311luK7tnN4vDDD9eiRYs0fPhwI99vpqGsSLZtC6QFl5hOAcAORpwuXfFmwp6u0RvUmzsbE/Z8ADLLjAmHKNvFIlvATpbtalKNJ2A6BgAAB1WS49akgQUaVpgrh6Mbqyaat0krfyZt+qsU6cZKDdjLl1dJhxxrOgXSEJ9Qk230WZIr23QKAHaQ4G2gQhYzKwD0TIHbRVEB2BCrnQAAqaIlENKKqha9VtGgHa1eReO9Frr/BOmcJ6UbyqRjb5OyGHKccgqGxHaOAJKAT6nJ5i6Qhp9uOgUAO3AXJvTpmFkBoKeYVwHY0xDKCgBAimkPhrWqplWLttervNmjSLyfU4tGSF98VJpTIU27U8opTmZMJNKYc2PD1IEkoKzoC+MuMJ0AgB0wYBuATVBWAPZUkJ2lftlZpmMAANBt3lBEa+va9Ep5nT5q6lA4GudOAPml0qn3S3N2xL7mlSY3KHpv7HmmEyCNUVb0hbHnm04AwA4oKwDYxKB8rt4G7Gp4UTcHlgIAYCP+SFQb6tu1sKxOmxraFYzEWVrkFMdWWMypiK24KByRzJjoKYdLGj3ddAqkMcqKvjBgolQywXQKAKa5E11WMLMCQPdlOx0qyeHKbcCuRvTLMx0BAIBeC0YtbWrs0MKyOq2va5M/HInvQHd+bJbF7DLp7LmcT7ObYSdJuSWmUyCNUVb0FZZIAWBlBQAbGJSfLQd7zAK2VZSdpWIKRQBAmghblrY2e7SwvE5ralvlDYXjO9CVLU2dLV23WTr/KWnQlOQGRXw4v4kko6zoK+NmmE4AwLQElxUhygoAPVDKFlCA7bEVFAAg3UQtaXuLV6+U1+v96ha1B+IsLZwuafJV0qx10sULpKHTkhsUB8ZW90gyyoq+MuoMhgQBmS7BZUWEsgJAD5TmZ5uOAOAgRhSxFRQAID1ZkirbfHq1ol7Ldzer2R+K70CHQ5pwkXT1cuny12Ln2dC3CoZKg482nQJpjrKirzizpElXmE4BwKSEr6xgZgWA7sl1OdUvx206BoCDKGQrKABABqjq8GvJjga9s6tJDd5g/AeOPlOa+XqsuBh3oSS2OO0TY841nQAZgLKiL02+xnQCACa5CxP6dMysANBdrKoAUgerKwAAmaLWE9DSnY16s7JRNR5//AcOnSZd+kJsi6hJV0oOV/JCQhp3gekEyACUFX1p2OekkgmmUwAwhQHbAAwrLWBeBZAqmFsBAMg0jb6glu1q1uKKBu1u98my4vzMWzpFmvF0bBj3kTfEhnMjsdyFzKtAn6Cs6GuHXW06AQBTKCsAGDaYlRVAyijMzlIJW0EBADJQSyCkFVUteq2iQTtavYrGW1r0nyCd86R0Q5l0zK1SVn5yg2aSCRdLblZ9IvkoK/oaW0EBmSvhZQUzKwDEL9/tUr6bE59AKhnOVlAAgAzWHgxrVU2rFm2vV3mzR5F4L9grGiGd8Zg0p0KadqeUU5zUnBnhsKtMJ0CGoKzoawMmSkNOMJ0CgAmsrABgEPMqgNQzgq2gAACQNxTR2ro2vVJep4+aOuK/cC+/VDr1fmnOjtjXvNLkBk1XuQOk0dNNp0CGoKwwgdUVQAZyMGAbgFGD85lXAaSaguwsDch1m44BAIAt+CNRbahv18KyOm1qaFcwEmdpkVMcW2Exp0L64qNS4Yhkxkw/Ey+XXLwfQd+grDBh0pWSw2U6BYC+5C6QHI6EPV0kaomqAkB3sLICSE1jSthvGwCATwtGLW1q7NDC8jqtr2uTPxyJ70B3vnTsbdLsMunsuVLJhOQGTRdsAYU+RFlhQsEh0phzTKcA0JcSvAVUiHkVALqhOCdLuVlcKAGkohFFucpyJu6CBwAA0kU4amlrs0cLy+u0prZV3lA4vgNd2dLU2dJ1m6Xzn5IGTUlu0FRWOEwacbrpFMgglBWmHHm96QQA+hLzKgAYNKyQfe+BVJXldDK7AgCAA4ha0vYWr14pr9f71S1qD8RZWjhd0uSrpFnrpIsXSEOnJTdoKpp0heTg9DH6Dn/aTBl/kZQ3yHQKAH2FeRUADBpKWQGktDHFbAUFAMDBWJIq23x6taJey3c3q8Ufiu9Ah0OacJF09XLp8tekUWckNWdKYQso9DHKClNcbmnyl02nANBXWFkBwJB8t0slDOgFUtqAvGz1y84yHQMAgJRR1eHX4h0NemdXkxq8wfgPHH2mNPP1WHEx7kJJGbwVY8kEacgJplMgw1BWmDTlBtMJAPSVhJcVzKwAEB+2gALSw+jiPNMRAABIObWegJbubNSblY2q8fjjP3DoNOnSF2JbRE26UnJk4Py3w640nQAZiLLCpEFH0lACmYKVFQAMGVaYYzoCgAQY1S9fzNkGAKBnGn1BLdvVrMUVDdrd7pNlxfmZunSKNOPp2DDuI2+IDefOFGwBBQMoK0w7ktUVQEZIcFkRoqwAEIccl1MD8zLoAxWQxnKynBpawEopAAB6oyUQ0oqqFr1W0aAdrV5F4y0t+k+QznlSuqFMOuZWKSvN50mVTpUGHm46BTIQZYVph10lZbGkG0h7braBAtD3hhTmyOHgUmwgXYwu4XMDAACJ0B4Ma1VNqxZtr1d5s0eReC8ILBohnfGYNKdCmnanlFOc1JzGTGJVBcygrDAtp5808XLTKQAkG9tAATCAeRVAejkkP0d5WXyEAwAgUbyhiNbWtemV8jp91NQR/4WB+aXSqfdLc3bEvuaVJjdoX3K4pMnXmE6BDMU7XTuYMsd0AgDJRlkBoI+5HA4NzmdeBZBOHA6HRhen+bYTAAAY4I9EtaG+XQvL6rSpoV3BSJylRU5xbIXFnArpi49KhSOSGbNvjLtA6jfSdApkKMoKOxhxmnTI8aZTAEim7MKEPh1lBYCDOaQgRy6m8QJpZ2xJvvg/GwCA5AhGLW1q7NDC8jqtr2uTPxyJ70B3vnTsbdLsMunsuVLJhOQGTaajv246ATIYZYVdHP8d0wkAJBMzKwD0sWGFrKoA0lFelksj+jG7AgCAZApHLW1t9mhheZ3W1LbKGwrHd6ArW5o6W7pus3T+U9KgKckNmmgl46XR002nQAajrLCLiZdLxWNNpwCQLIneBspiZQWA/XNIGsK8CiBtTehfYDoCAAAZIWpJ21u8eqW8Xu9Xt6g9EGdp4XRJk6+SZq2TLl4gDZ2W3KCJMvUmycEaTphDWWEXTpd07B2mUwBIFmZWAOhDpfnZynbxNg9IV/1z3RqUl206BgAAGcOSVNnm06sV9Vq+u1kt/lB8Bzoc0oSLpKuXS5e/Jo06I6k5eyUrVzryetMpkOH4FGsnU66XcgeYTgEgGRJcVoQoKwAcwCi2iAHSHqsrAAAwo6rDr8U7GvTOriY1eIPxHzj6TGnm69JV70rjLpTsNoVq4kwpb6DpFMhwlBV24i5giA2QrhK+soKZFQC6luV0aFgRZQWQ7oYW5qjA7TIdAwCAjFXrCWjpzka9WdmoGo8//gOHfU669IXYFlGTrpQcNvn3/CjOScI8ygq7OeabsWVXANIL20AB6CPDC3OV5bTZVVoAEs7hcGg8qysAADCu0RfUsl3NWlzRoN3tPlnxzpgsnSLNeDo2jPvIG2LDuU0pPTpWogCGUVbYTf5g6fBZplMASDTKCgB9ZFQxqyqATDGmOE9uykkAAGyhJRDSiqoWvVbRoB2tXkXjLS36T5DOeVK6oUw65lYpKz+5Qbty9M19/5pAFygr7Oi4b0sO/tMAacPhjG3zlkCUFQC6ku92MXQXyCBZTqfGFBs4oQEAAParPRjWqppWLdper/JmjyLxfn4vGiGd8Zg0p0I68QdSTnFSc3bK7idNvqZvXgs4CM6I29GAiXsG7QBICwkvKphXAaBro/rlyeHgKmsgk4zvn2+38ZwAAECSNxTR2ro2vVJep4+aOuL/LJ9fKp32gDRnh3Tq/VJeaXKDHj4r4ectgJ6irLCrE75rOgGARGELKAB9ZFQ/toACMk2+O0vDCpl5BwCAXfkjUW2ob9fCsjptamhXMBJnaZFTLE27M7bS4ouPSoUjkhOQLaBgI5QVdjX8FGnoSaZTAEgEN2UFgOQbmOdWYXaW6RgADDh0AFdDAgBgd8GopU2NHVpYXqf1dW3yhyPxHejOl469TZpdJp09VyoZn7hQIz4vDTw8cc8H9BJlhZ2xugJIDwleWRGirADQhVH92LceyFQD8rJ1SEGO6RgAACAO4ailrc0eLSyv09raVnlD4fgOdGVLU2dL122Rzn9KGjSl92GO+UbvnwNIIMoKO5twsdT/UNMpAPRWwreBYmYFgL05HdKIIraBATLZ5IGFpiMAAIBuiFpSeYtXi7bXx781lCQ5XdLkq6RZ66SLF0hDp/UsQMkE6dAv9exYIEkoK+zM4ZSO+7bpFAB6i5kVAJJsWGGu3C7e1gGZbEBetgbnZ5uOAQAAumlEUZ6ye/Je3uGQJlwkXb1cuvw1adQZ3Tv+hO/Gzj0CNsKfSLs74itS/mDTKQD0BmUFgCRjsDYASZo8KLHvOQAAQPJNSsTqyNFnSjNfl656Vxp3oSTHgR9fMEQ6/Cu9f10gwSgr7C4rVzqa/eOAlEZZASCJcrOc7FUPQJI0kNUVAACklBFFuSrKzkrcEw77nHTpC7EtoiZdKTlcXT/umNukLD5DwH4oK1LB0V+XshiaCaQsd2L3kGZmBYBPG1ucL4fjIFdOAcgYhw1kdQUAAKkiIasqulI6RZrxtHTdZunIG2LDuT+W3U86+ubkvC7QS5QVqSBvoHTc7aZTAOgpVlYASBKHpDElXNAA4BOD8rNVyuoKAABsb1hhjopz3Ml9kf4TpHOelG4ok465NXYx9FFfk3KKk/u6QA9RVqSKE74v5ZWaTgGgJygrACTJsKJc5WXtZ2k3gIw1OVlXaQIAgITp01lTRSOkMx6T5lTEzjECNkVZkSpy+kmfu8t0CgA94U7sG5AQZQWAPcaXFJiOAMCGBuXnaFAeqysAALCrUf3ykr+qoiv5pVLegL5/XSBOlBWp5KivSSUTTKcA0F0JX1nBzAoAUnFOlgax1QuA/Zg8iNUVAADYkdMhHd6XqyqAFEJZkUpcbunUB0ynANBdbAMFIAnGsaoCwAGUsroCAABbGldSoHw3W7kCXaGsSDWTZkpDP2c6BYDuoKwAkGBup0Mj++WZjgHA5o4s5apNAADsJMvp0CRmSwH7RVmRik5/2HQCAN1BWQEgwcaW5CvL6TAdA4DNDcjL1vCiXNMxAADAHhMHFCjHxelYYH/4vyMVjThVGn+x6RQA4uVO7FUTzKwAMptDbAEFIH5HDCoS1SYAAObluJya0J/38cCBZJkOgB46/SFp+8tSNGw6CYCDYWVFStmxZZP+/qsHtfG95YpEwhp72BG66Pqb9bnp53f5+Lu+/CVtfH/5Xrdd/vXbddWt3zvoazXX1erZ//2ltm/aoJzcPIWCQR057WRdeuM3lF+475+bVW++rvlP/FoOp1ORUFjnXvNVff6iy/Z6jKe9TX9+8MfavmmD/F6fTjhzuq79zo/kdHZ9fcL65e/o5b/M1fcf/5McDk5npYLhRbnscQsgboXZWRpbkq/yFq/pKAAAZLTDBhYqaz+fywDEUFakqgGTpCNvkD54wnQSAAdDWZEyandV6kfXXKJQMKjigQPVVFujLWtX6eFbZ2vWd+/SxTfcvNfj1y1bql3lWzVs7PjO25wul867+rqDvlZzfZ2+e9m5OuqUz+unf5uv7Jxc+b1e/eL2G3X3tV/Sg8++JHd2TufjX33u7/rjA3fp/qcWaNzhU1S3e5e+P/M8NdZU6Us3frPzcb/5f7epoWqXfvbcf1S7c4dun/EFDRoyTBfMmr1PhqbaGv39Vw/qR3/4G0VFCuFqLADdNXlgoSrbfLyHAADAkAK3S2NL8k3HAGyPOi+VnfyThG8vAyDBHC7Jnbg3JJZlKWxxoiFZ/vyze3TxDTdr3ooP9cSS9/Xk2+t0whnTJUlPPfqQ2lua93r8Px5/RD+Z90/95r9vdf547KU3VDKo9KCv9crT89RcX6uvfv9uZefE9hPPzc/X5V+7Vds3fai1b7/Z+djqHdv1x/vv0vQrrtW4w6dIkgYPH6EZs+bo6cd+rm3r10mSGmur9d7rr+jIaacqy+3W8HETNHTMOL3yzF/2ef1IOKzf/OA2zbnrARUWl/To9wt9b0CuWwPysk3HAJBicrJcmjiAzw0AAJhyxKAiOblADDgoyopUVnCIdPx3TKcAcCDZCZ5XQVGRNMGAXyPGHarLb75dOXmxgql4wEDd/ovfqn/pIQqHgqquKO98/Jr/3959x8lZlvsf/z5tep/ZXrKbsukJKSQkIYUWWhQQkSY5iFFUjgh4PB4bchALVdQDooLKzwaoCFI8gEIEEelVgRMgEDpJSN3sJlvm98ckCyEJSTbP7j3l83695rXs7Ow910Qzeeb5Pvd13XOXent6lMxk+/V8W4KP9vXrtro/Ek9u/prou++GKy/Tpo2dmjLvwK0eO3HWXPX29OiGqy6XJK18/TVJUjAS7ntMLJHUitdf3eb5f3nxNzVj/gINGzehX/XDjBEZdlUA6J8R6agiLi3kAAAYbKmgq4Z4yHQZQEkgrCh1e/+HFK01XQWAHfFoAVUqvEBQx5/xxW3uD0UiattrsizLUlV9Y9/91/7gIj372MM6ZdYE/efRh+iuP1yn3t0Yfj55zv6SpCvP/fJWv/fYPXdp0uz9NHbvfSRJvb29evDO2yVJQ0aO2WqN1tFjZdu2Hr37TvX09KiqoUm2bWv9u3aArHl7paoamrb6vfvv+JPWvL1S8487aZfrhXnxgKv6GB9yAPSPY1saW+XvcQkAANi5CdUJ2u4Cu4iwotR5UWnGOaarALAjzKsoGZZl7XAIdUf7ek2YOUfp6hpJhXZLTcPbNHW/g5TIZPX8P5/Q/3zpDJ17ynFqX7tml55vyrwDdcgJ/6ZH77lLF56+SB3t7VryxKNatfxNffGyn/Y9btVbb2jNyhUKhELb7OJwXFfhWFydG9r15rIXla6q1r4LjtJDd92h9WtW6+mH79cby17UB07+ZN/vvP7SUv3xZ1fo1HO+s7t/RDBsVDbGhxwAe6QpEVYm5JkuAwCAitEUDykXCe78gQAkMWC7PIxfJD1yqfT2M6YrAfBehBUlb+2qlXruycd1/nW39N2XranTad/6rqTCHJF7b71R/+/Cb+jJf/xNF5/5KZ191W92ae1PnP1tZWvrdesvfqr/OvZw1TQ266xLrthqsPbqFSskSZHY9v+/FI5G1b52jdavWS1J+sx5F+m3l1+qb37yJAVCIX32O9/TvCOPkSRt7OzQZV8+U58572IFwxG1r1urX178Lb349D+Vra3TCWf+l+pbhu72nxEGXsxz1MjWcQA+mFCd0OJlK02XAQBA2XNtS+OqEzt/IIA+7KwoB7YjzT7fdBUAtsf3sGLX2wzBH9f+4GIt/MLXVN86bLs/tyxL+x5+pL756xtVVd+ox+/9q/754D92ae3uri4l0hldevNdOuJjn9Lj996tL37kML35yrK+x3Rt2ihJcr3tXwnb092z1c+9QFAnnPFFffvam/TfV/+2L6iQpCu/8RUd+tFT1DB0uPL5vL7z6ZP1+ksv6Lxf36CGocP11ROP1LpVb+9S7RhcI9lVAcAnmXBATYSfAAAMuFHZmMLMiwJ2C2FFuRj+QalxjukqALyX5/OAbXZWDKqH7rpD8VRaB33kxJ0+tqq+UR//6jckSUueeGSnj+/p7tZFZ3xSVfWNiiVT2v/o4/SVH/9Cy199WWcvPFobNg/eTqQzkqSNHR3bXaejvfC4ZDb3vs/359/9WuFoTLMO/aAk6ZlHHtC/HvqH5iz4kBzH0bwjj9GalSt0+7W/3GntGFxRz1FTIrzzBwLALhpXnZBnE4ACADBQ4gFXw9NR02UAJYewopzMvViy+J8UKCq0gSpZzz35uF745xM67vQv7PLvTJ57oALBkAKBnfckvf3aX+jJ++7R+Bmz++6bMGO2PnfB/2jFa6/qpp/9SJJU09yiUCSq9WtWa9PGzq3W6Fi/Xp0bNiiRzihdXbvD51r69FO656Y/aOEXvtZ335InHpMkZWvrJEm5uobN9+88aMHgGpmJyWZXBQAfhV1HY3IM2wYAYKBMrE5wDA/0A2e2y0ntVGnSZ01XAeDdfA4rumgDNSief+oJPfXAvfrIv39+t37Ptm05rqtx02ft9LGP/W2xvEBwm6He0w86VPWtw/TcU49LkhzH0dT9DlI+n9eLz/xrq8e+/NyzkgohyY6Gg7evW6sfn/MlnX7+97ZqJdXbW2gfZTtOX+2SJA6oi0rEddScZFcFAP8NTUWUYtg2AAC+a4iFVB1lqDbQH4QV5Wbfb0qJFtNVANiCnRUl56n7/65nH3tIR378M1vd39HerqvO++o2uxve7Ym/361pBx6i5rZR2/zulgHYW9Q0DdG61av0xssvbbNOvjevmsbmvu+PXPQZ2Y6jB/78v1s97uG//kWO6+rIRZ957xJ9LvvyWTru9P9QtrZ+q/uHtI2WJK1ZWRjgvWr5m5LEgO0i05aNckUWgAFhWZYm1SRNlwEAQFlxLEvjGaoN9BthRbnxotJBPzZdBYAtCCtKyl//+Ht95zMn60+/+pk+e+jsvttp82fqlFnjtebtFQoEQ/rdDy/VRWecqhef+Wff7z7zyAN67G+L9alzL9hqzc4NG3Ta/Bn65LwpeuvVV/ruP+oT/65kNqfLv/L5vqHW+XxeN171Q3VsWK+jPnFa32NbR4/TcZ/9gm6/9hd6Y9mLkqSXnn1af/rVz7TwC19T0/C27b6eG666XC2jxmjirLnb/GzCjNlqbhutB/5ymyTp73+6Sa4X0MHH/1v//vDgu7BrqyUZMV0GgDKWDnkamuJ9BgAAv4zMxhTxGKoN9JdrugAMgJaDpLH/Jv3zatOVACCsKBl//t2v9cOv/ockqWPp+u0+ZvaCD0mSqhqadOf11+q/PrJAo6bsrSFtozVx1lz92xe/vs3vOK6rTE2t2tesUTD8TjufdFW1vnPtLbrmBxfqP485TJnqGrleQE3D23TJDX/eZmD20Z86Xemqal1y5qcUDEeUV17//u3vatoBh2y31n89dL/+9cA/9F8//Pl2f+64rr76k1/qR2d/Uf/1kcPV29urr/7kV1vt6IBZbcyqADAIxubiem1dpzp7aDUJAMCeiHmO2jIM1Qb2hJXP5znzVY46V0k/Gy1teNN0JUBlm3+VNP4U35Z75I3VenFNh2/rAShOQcfWIUOr5diEFQAG3strO/Tg66tNlwEAQEmb2ZBWbSxkugygpNEGqlyF0tL+PzBdBQB2VgDoh7ZMlKACwKBpSoRVHQmYLgMAgJLVFA8RVAA+IKwoZyOPkYYfaboKoLIFYr4uR1gBlL+wa2toiu3jAAbXXjVJkZECALD7go6tCTVJ02UAZYGwotwdcLkUTJmuAqhcHjsrAOyesbk4uyoADLpYwNXIjL8XWQAAUAn2qkko6HCKFfADf5PKXaxOmnOh6SqAyuVzG6iuXoZfAuUsFXTVlAjv/IEAMADaMjElAq7pMgAAKBkN8ZAa4hy/A34hrKgEExZJTfuZrgKoTMysALAbxlcnZFnsqgBghmNbmlKXEu9CAADsXMCxNbE6YboMoKwQVlSK+T+RXJJeYNARVgDYRbXRoKoiQdNlAKhw6ZCnkVnaQQEAsDMTqxMKuY7pMoCyQlhRKVLDpJnnmq4CqDyEFQB2gSVpfBVXZQEoDqOyMaWCtIMCAGBH6mJB2rcCA4CwopJMOVOqmWq6CqBy2K7khnxbLp/PqydPWAGUo5ZkRHFODAIoErZlaWpdSjb9oAAA2IZnW5pUkzRdBlCWCCsqie1IB18l2Z7pSoDKwK4KALvAtS2NztFyBUBxSQQ9jcn5eywDAEA5mED7J2DAEFZUmqoJ0t7/aboKoDJ4hBUAdq4tE+XDDoCiNCIdVTbMhU4AAGxREw1qSDJiugygbBFWVKJ9viZlRpmuAih/AX+vlCasAMpP2LU1Is2uCgDFybIsTalNybHoBwUAQMC2NJn2T8CAIqyoRG5QOuTntIMCBprPbaC6ent9XQ+AeWNycTk0hQdQxGIBV+OqaAcFAMDk2pTCHjuigYFEWFGp6qZLs79jugqgvNEGCsD7SAZdNSfCpssAgJ0amoqoOhIwXQYAAMYMTUVUHw+ZLgMoe4QVlWzqWdKwI0xXAZQvBmwDeB8Tq5OyaK0CoARYlqXJtSl57AQDAFSgRMDV+KqE6TKAikBYUekO+bmUbDVdBVCefA8raAMFlIshybByXKUMoIREPEeTa1OmywAAYFA5ljStPkXrVmCQEFZUulBKWnCd5HDCBPCd32FFnp0VQDkIOjZXZgEoSQ3xkIalIqbLAABg0IyvTigRZOYrMFgIKyDVTpXmXGS6CqD80AYKwHaMr4or4HAIBqA0ja9OKB3ipA0AoPzVx0IamoqaLgOoKHxSRsHkz0ptHzZdBVBeCCsAvEdVJKDmJFclAyhdtmVpWh3zKwAA5S3sOppcmzRdBlBxCCvwjvlXSalhpqsAyocX83U5wgqgtNmWtFcNH3gAlL5owGV+BQCgbFmS9q5LsRsaMIC/dXhHMCEt+K3kBE1XApQHn3dWdDFgGyhpIzMxxQOu6TIAwBfMrwAAlKtR2ZhyEWa7AiYQVmBrNZOk/S41XQVQHmgDBWCzWMDRyKy/u60AwDTmVwAAyk0uHNAojtsBYwgrsK2Jn5JGHme6CqD0EVYA2GxSTVK2RX93AOWF+RUAgHISdm1Nr0/J4rgdMIawAts3/8dSus10FUBp8/wOK2gDBZSi5kRYVRFaLAIoT8yvAACUA9uS9mnIKOg6pksBKhphBbYvEJc+8FvJDZuuBChd7KwAKl7AsTS+KmG6DAAYUA3xkIano6bLAACg3ybVJGltCBQBwgrsWNUEaf8fmK4CKF2EFUDFG1eVUNDlcAtA+RtXFVcVw0gBACVoWCqiIcmI6TIAiLACOzP+49KYk0xXAZQmwgqgotVEg2rhQw+ACmFblqbXpxX1aJ8BACgduXBA46vZCQ0UC8IK7NyBP5Qyo01XAZQeL+brcsysAEpHwLE0uTZpugwAGFQBx9aMhrRcBm4DAErAloHaNgO1gaJBWIGd86LSB6+XginTlQClw/Yk17+Buvl8Xj1srABKxqSapMIM5wNQgRJBT3vXpUyXAQDA+yoM1E4zUBsoMoQV2DXZUdIRN0gOfWiBXeJzC6guWkABJaM5EVZDPGy6DAAwpi4W0ricv8dCAAD4qTBQm3NcQLEhrMCua5orHfxzSWyPA3aKeRVARYq4jibS8xYA1JaNqTlBcAsAKD4M1AaKF2EFds/o46V9v2m6CqD4+R5WMK8CKAVT6pLyHA6vAEDactWqZ7oMAAD6VEUYqA0UMz5NY/dN/5I04VTTVQDFzWNnBVBpRqSjqor4N6sGAEqdY1ua0ZBWyOVjJwDAvETA1T71aQZqA0WMo0b0zwGXSUMPN10FULxoAwVUlETA1Rj6swPANkKuoxkNGTmcFwIAGBRybc1szLALGihy/A1F/9iOtOBaqWaK6UqA4kRYAVQM25L2rkvJsTkTBwDbkw55mlKXMl0GAKBCubalWQ0ZRTzHdCkAdoKwAv3nRaWjbpYSQ0xXAhQfZlYAFWNMNq4kPdkB4H01xsOaQI9wAMAgsyRNr09zvA6UCMIK7JlorfShP0nBlOlKgOLixXxdroudFUBRyoUDGpGJmi4DAErC8HRUbbxnAgAG0eTapGqizJUDSgVhBfZcdrR0xA2SEzBdCVA8aAMFlD3PtjS1LimLAX0AsMvGVSXUnAibLgMAUAFGZWMakoyYLgPAbiCsgD+a5koH/1yFDXYACCuA8je1LqWI55ouAwBKzuTapGq5yhUAMICaE2GNyfn7uRzAwCOsgH9GHy/t+03TVQDFgZkVQFkbmYmpLhYyXQYAlCTbsjStPq0M/cMBAAOgOhLQ5Nqk6TIA9ANhBfw1/UvShFNNVwGYx84KoGxVRwIak/N3Lg0AVBrXtjSjMaN4wDFdCgCgjCSDrqY3pGXTqhUoSYQV8N8Bl0lDDzddBWAWYQVQlsKurb3r0sypAAAfBB1bsxqzCrl8LAUA7Ll4wNGsxow8m39XgFLF3174z3akBddKNVNMVwKY4/kcVuQJKwDTbEuaXp9WkJNqAOCbiLflxBIhMACg/6Keo32bsgq57NgDShmftjEwvKh01M1SeqTpSgAzmFkBlJ3xVQllwgHTZQBA2UkGPc1oyMghrwAA9EPYtbVvU0Zhggqg5BFWYOBEa6VjF0uZUaYrAQZfwN9+9rSBAsxqioc0LB01XQYAlK1cJKB9GjJigwUAYHcEHVuzm7KKeq7pUgD4gLACAytaK31ksZQdY7oSYHD5vLOii7ACMCYRcDWpNmm6DAAoezXRoGYQWAAAdlHAsTW7KaNYgKACKBeEFRh40RrpI3dJuXGmKwEGj98zKwgrACNc29L0hrRchvQBwKCoiQa1T32awAIA8L4829K+jRklgp7pUgD4iE/eGByRaumYO6WqCaYrAQYHMyuAsjClNqk4V2oBwKCqjYU0ncACALADrm1pVmNGqRBBBVBuCCsweCJVmwOLvUxXAgwsJyg5/h009ebzYmMFMPhGpKNqiIdNlwEAFakuFtK0+rTIKwAA7+ZY0syGtDLhgOlSAAwAwgoMrnBWOuYvUvVk05UAA8f3XRUkFcBgq4sFNa7K37/LAIDdU795hwWBBQBAkmxL2qcho1wkaLoUAAOEsAKDL5yRjvmzVDPVdCXAwCCsAEpaKuRp77q0LIvTYwBgWn08pGn1KQILAKhwjmVpRkNGNVGCCqCcEVbAjFBa+vAdUu0005UA/mNeBVCywq6jmQ1puTRKB4Ci0RAPE1gAQAVzLUuzGtMEFUAFIKyAOaFUIbCo28d0JYC/PHZWAKXItS3NbEwr5DqmSwEAvEdDPKy96wgsAKDSeLalWU20fgIqBWEFzAompA/fLtXPNF0J4J9AzNfluggrgAFnSZpen1Yy6JkuBQCwA42JsGY0pOWQWABARQg4lvZtyirLMG2gYhBWwLxAXDr6NqlhX9OVAP6gDRRQcibWJNhWDgAloDYW0qzGrDza9QFAWQs5tmY3ZZUOcTERUEkIK1AcAjHp6P+VGueargTYc7SBAkrKiHRUQ1NR02UAAHZRLhLQnKasgg4fZwGgHEU8R3Oas+x6BioQR3coHl5U+tCtUtN+pisB9ozvOysIK4CBUh8LalyVv39nAQADLxnyNLc5q6jHnCEAKCfxgKu5zVnFAq7pUgAYQFiB4uJFpKNukVoPNV0J0H+EFUBJSIc8Ta1Ly7JoJQIApSgWcDWnOasEJ7QAoCykQp7mNGcVdgmigUpFWIHi44WlI2+SJn7GdCVA/zCzAih6EdfRjIa0XHqeA0BJC7uFViHZMK1CAKCUVUUCmt2UocUfUOF4B0Bxsh3pwMuk/S6VLP5vihLDzgqgqAUdW7MaMwpxxRYAlIWAY2tWY1Y10aDpUgAA/dCcCGtWY0aezfkfoNLxLoDiNvlz0hE3Sl7MdCXArvM5rOgirAB849mWZjVmFA/SMgQAyolrW5rRkFZTPGS6FADAbhidjWlqXUo2rVkBiLACpWDYAum4e6RYg+lKgF3jc7jGzgrAH65laWZjRqkQrUIAoBzZlqWpdSmNSEdNlwIA2AnbkqbWJjU65+/FfgBKG2EFSkP1XtKJD0jVk01XAuwcMyuAomNb0j4NaWXDAdOlAAAGkGVZGl+d0F41CXGNLgAUpy27nZuTEdOlACgyhBUoHbF66bi7pWFHmK4EeH/MrACKiiVpen1a1fQyB4CKMTQV1czGjFybyAIAiknEczS3OauqCMfmALZFWIHS4kWlI66XppxluhJgxwgrgKJhSdq7LqW6GD3MAaDS1ESDmtecVcR1TJcCAJCUDnma15xVIkhbVgDbR1iB0mPZ0ryLpQN/KNkMSEUR8ggrgGIxqTapxkTYdBkAAEMSQU/zhmSVYV4RABhVFwtqdlNWIQJkAO+DsAKla+KnpKNukQIJ05UAW2NmBVAUJlYn1EIfXACoeCHX0eymrJoJrwHAiOHpqPapT9OaD8BOEVagtLXMl47/u5QYYroS4B1+hxV5dlYAu2tMLq5h6ajpMgAARcKxLU2tS2lczt/jNADAjjmWNKU2qQnVCVkWQQWAnSOsQOnLjZVOuF+qm266EkByw5Lt37bW3nxedIECdk9bJqpR2ZjpMgAARagtG9OMBq7uBYCBVhikndMQdjoD2A2EFSgP0RrpmLuktmNMV4JK5/l7grSLpALYLcPTUY2roj0gAGDH6mIhzWvOKubRNx0ABkJ1JKD9h+SUYl4QgN1EWIHy4YWlBddK+3xVEldKwRDmVQDGjMzENKGaoAIAsHOJoKf9WnJqiIdMlwIAZaUtE9WsxowCDqccAew+3jlQXixLmvUN6UO3SuGc6WpQiXwPK9hZAeyKMbmYxlbRhxwAsOs829b0+nShl7rpYgCgxLm2pen1KY2rYj4FgP4jrEB5aj1EOulRqX6W6UpQaQgrgEE3riquUVmCCgBA/wxPRzW3Oauwy8djAOiPeMDRfs05NcTDpksBUOI4GkP5ijdKxy6W9v5P0RYKg4awAhhUE6sTasswTBsAsGcy4YD2b6lSdSRouhQAKCl1saDmDckpHnRNlwKgDBBWoLzZrjTnfOmom6RQxnQ1qAQeMyuAwWBJmlyb1LB01HQpAIAyEXRszWpMa3SWEBwAdsaSNDYX1z71aXk2pxcB+IN3E1SGoYdLJz0m1c0wXQnKHTsrgAFnW9K0+pRakhHTpQAAyoxlWRqdizMcFgDeR9RzNLc5q5HZGPMpAPiKoy9UjkSTdOxfpan/IdpCYcAQVgADyrEszWjI0A8XADCgaqJB7T8kp0zIM10KABSVpkRY+7fklAkHTJcCoAwRVqCyOJ4090Lp6P+VonWmq0E58jms6CKsAPp4tqV9mzKqidJPHAAw8CKeoznNWY3KxrjUCUDFc21LU+tS2rsuRdsnAAOGdxdUppb50sInpKEfMF0Jyo3nb49jZlYABUHH1uymrLJcwQUAGES2ZWlMLq65zVlFPcd0OQBgRCbk6YAhOTUn2N0MYGARVqByRXLSUX+UDrhccvkHFz6hDRTgu3jA1bzmrFK04gAAGJIJB3RAS455SQAqzshsTHOas4oGXNOlAKgAhBXAXp+WPvqQVDXRdCUoB4QVgK+qIoHC1ax8OAIAGObatibXJjWjIa0gw7cBlLmwa2tOU1Zjc3HZDNEGMEg4wgIkKTtGOuF+acqZYvg29ojvYQVtoFC5hiTDmtWYUYATQgCAIlIXC+nAlirVx5ihBKA8NcRDOqClSrkILVgBDC4+/QNbuEFp3iWF4dvxZtPVoFSxswLwxdhcXFNqU1zFBQAoSkHX1j4NGU2uTcq1+bcKQHkIOram1aU0vT7NBUMAjOCdB3ivlvnSx/4lTTlLshiih93kc1jRRViBCmNb0rS6lEZm/R1WDwDAQGhJRnTAkJyyYeYqAShtTYmwDmytUiNDtAEYRFgBbI8XleZdLJ34oFQz1XQ1KCWev2FFD2EFKkjQsTW7KcsHJABASYkGXM1pympCVUIuOwIBlJiwa2tmQ1p716WYxwPAON6FgPdTM0k68X5pv+/5fsU8yhQ7K4B+iQcczWvOKhumL64kLV26VGeffbaam5u1ePFi0+UAAHbCsiwNz0R1YGuVaqPMsgBQGlqTER3YUqXaWMh0KQAgibAC2DnLliafLp38L2n4kaarQbEL+Nu6hgHbqARVkYDmNucUDbhG67j77rt19tlnKxaLybIsRaNRjRs3Tvvvv7+mTJmiYcOG6ZBDDtGVV16pjRs3DlgdmzZt0j333KObb75ZL7/8cr/WePLJJzV9+nS5rivLsvpez4wZM9TR0SFJeuCBBzRx4kQ5jrPVY2bPnu3nywGAihLxHM1szGh6fUohrlAGUKSinqPZTRlNqk3K470KQBHhHQnYVfFG6Yg/SB/8gxRrNF0NipXnd1jBzgqUt+ZEWLMaM0UxwG/OnDk699xzdcIJJ0iSzjzzTD311FO688479fDDD+uBBx7Q+PHj9YlPfEKzZ8/W6tWrB6SOQCCghQsXav78+f1eY/z48br//vt13XXX9a353HPP6b777lM4XGizNW3aND3++OP63e9+J0kKBoNasmSJ7rnnnj1/EQBQ4RriYR3UWqXWZMR0KQDQx5I0Ih3VgS1VqoqwCwxA8TF/ZgAoNSOOLAzgnnR6YdcFsIUbkWz/hrL39OZFVIFyZUmaUJXQ1LqU7CLr711bW7vd+7PZrC688EKdeOKJevDBB3XOOecMaB3B4J5/gJw4caIkKZfLqa6ubruPGTt2rCSpurpa9fX1e/ycAIACz7E1qTapuU1ZJQzvHgSARMDV3Oasxlcn5NjFdfwNAFtwphXoj0Bc2v970gn3S9WTTFeDYuHzvApaQKFchVxbc5qyGp6Jmi5lu2z7/Q+P9t13X0nSXXfdNaB1WD6EOI7j7HStLa93Z68bANA/2UhA+7fkNCYXE+cHAQw2z7Y0sTqhA1pyyjAfDkCR41MpsCdqp0onPijNvVjyivOkGwaR72EF+ypQfqoiAe0/JKdspHQ/KN1///2SCjsR3q2zs1Pnnnuupk+frjlz5qipqUlHH320li5dus0aS5Ys0cKFC7X//vtr3Lhxmjp1al87pvczcuRIWZYl27Y1evRo3X777f68qPdx33336aijjtLBBx+slpYW7bPPPvrFL37R9/POzk5dccUVOvLII5XL5bR48WLddNNNOv3009Xa2qrW1lb97Gc/kyT95je/0aJFi9TW1qa2tjbdcsst2zzfqlWrdNZZZ2nBggVqa2vTiBEj9P3vf3/AXycADCTbsjQqG9/ceqV0/w0EUFpakmHNb63WsHTUlwthAGCgEVYAe8p2pKlnFQZwD11guhqY5HNY0UVYgTLTlolq38aMQq5/7dIG09tvv63zzjtPV199tTzP05e//OWtfn7qqafq/PPP14033qi7775bt9xyi2688UYtXLhwq8fdd999mjFjhj7+8Y/rzjvv1BNPPKFAIKBjjjlGv//979+3hs9//vMaN26cHn30UT399NN7NNdiV1x33XU6/PDDdfbZZ+u2227TCy+8oGnTpmnhwoU688wzJUmhUEinnnqqIpGIVq5cqWuuuUZDhw7V97//fT3++ONyXVeLFi3S5z//eY0fP15XXnmlnn76abW2turYY4/V8uXL+55v9erVOuCAA3TEEUfo5ptv1rPPPqtjjjlGn/vc53T22WcP6GsFgMEQC7ia3ZTV9PqUol5p/nsIoPhlQp72G5LT5NqUgi6n/gCUDt6xAL8kmqWjbpI+8DspRs/viuRzWNFDWIEy4dmW9qlPa1xVoqSu6Prud7+radOmadasWRoyZIhyuZy+9rWvaerUqVq8eLH222+/rR7/hz/8QfX19X0zLyZMmKDRo0fr4Ycf7nvMpk2bdPzxx+vEE0/U3LlzJRXaL5144omSpKeeemqH9Vx++eW65ZZbdN999/XNothVy5cv17x587Z72/Lc7/XWW2/pE5/4hBYtWqRJkyb11XrppZdq4sSJuvTSS3XbbbdJKrSZam1tlSQde+yxfXMwEomEFixYoN7eXi1YsEDjxo2TVGhP9YEPfEDt7e36+9//3vecX/3qVzV79uy+PxvLsvSlL31JknTBBRdo3bp1u/W6AaBYNcTDOrClSuNycbn0hgLgk6Bja0ptUnObs0qHPNPlAMBuY8oX4Le2o6UhB0kPni898j2pq910RRgsfu+syDOzAqUvGXQ1vT6tWAkOFj3zzDN13nnn9X3/zDPP6Mc//rEuv/xynXPOObr00ks1ZsyYvp//6Ec/UjKZ7Pt+2bJl6u3tVUdHR999f/7zn/XSSy/1zb3Y4rTTTtPChQsVj2/7PtLb26szzjhDvb29uv766/vmUOyOqqoqLV68eLs/e+655zRixIht7r/66qu1du1aTZ8+fav7bdvWKaecos997nO64oordPDBB0uSPK/wgfi9gdSWP5P33h+LxSRJa9askSTl83ldc801ymazmjdv3laPHTJkiCTphRde2O2gBgCKlWNbasvG1JwM618r1uulNRvEpSoA+sOSNDwd1ahcTB5zyACUsNI7cwCUgmBC2veb0qTTpX98Q3rix1Jvl+mqMNC8mK/LMbMCpa45EdakmqScMrlidNSoUbrkkkvU1NSks846SzNnztRjjz2mlpYWSdLxxx+v7u5u/eY3v9H111+vlpaWbU7Qb9k5seXE/rttL6iQpG984xtavHixLrjggn4FFf31j3/8Q5IUDAa3+dnUqVMlSU8//fQeP09vbyGYXbFihVauXKn//u//1mmnnbbH6wJAqQi5jibXJjUsFdETy9dq+YZNpksCUEKqIwFNrE4qHuQUH4DSR9wKDKRojXTA/0inPCuN/qhk8VeurDFgG5Ak2Za0V01CU+tSZRNUvNtpp52mUCikNWvW6Cc/+Unf/Q8//LDGjx+vRx55RFdffbUuvPBC5XK5rX43ny/8vd5Ru6fOzs5t7jvjjDM0evRoffGLX9ylIdx+2bBhgyTp1Vdf3eZnmUxGkrbaSbKnenp6JEmPPPKIb2sCQClJhjzNbspqRkNaMeZZANiJZNDVzIa09m3KElQAKBucOQUGQ7JVOuwX0sLHpaEfMF0NBgphBaCo52hOU1ZDU1HTpQyYQCDQtwuivb3Q6u+1117TAQccoLFjx+rCCy9UJBLZ7u9uabf0ox/9SBs3btzqZ/l8Xt/+9re3+Z1kMqlbbrlFuVxOJ510Ut+Oh4E2YcIESdL999+/zc+2tLaaOXOmb89XVVWlWCyma6+9Vi+++OI2P7/mmmu0bNky354PAIpVXSykA1urNL4qLq8MQ38AeybqOdq7LqX9h+RUGwuZLgcAfEVYAQym3DjpqD9Kx90rNc4xXQ385vkdVjCzAqWlJRnWAS05ZcIB06XskS27H3bk3nvv1fLlyyVJhx12mCTpb3/7m9asWaP6+vrtrrXl6/z585VOp/XKK6/opJNO0urVqyVJq1at0sc+9jENHz58u7/b2tqqG264Qfl8Xh/84Af1/PPP79Jr6e7ulvTOroXt2bSp0G6k9z3vOYsWLZLnebruuuv66tzisccek+d5+uQnP9l335bf39Gf387udxxHRx11lNrb23XggQfqvvvu63vMXXfdpZ/+9Kdqbm7e4esAgHJiW5ZGZGI6eGi12jJRORahBVDpQq6tvWoSOqi1Sk2J8DbtRgGgHBBWACY0zJSO/av0oT9J1ZNMVwO/sLMCFSro2JrRkNbk2pTcMhjo98Ybb0ja9uR6Pp/X73//ex1zzDGSpE9/+tOaP3++pMI8C6kwlPr666/XX/7yF51yyil69tlnJUk333yzfvKTnygWi+mHP/yhbNvWb3/7W9XW1qqlpUXV1dVavXq1PvrRj/Y93wsvvCBJeuWVVyQVdjF861vf0vLly3XQQQdpyZIlO30tTzzxhCRp+fLl292tIEkPPfSQJOmtt97qe+1SYRfId7/7XbW3t+vkk0/u202xbNkyfec739FFF12k0aNH9z1+Sz1Lly7dav3nnntOkrZ5/i33v/vx559/vpqamvT8889r5syZqqurU21trQ499FBdcMEFO329AFBuAo6tcVUJHTK0SiPSUTmcmwQqjmdbGpeL6+DWag1NRWUTUgAoY1Z+Z5cPAhhY+bz07LXSvV+TVj9nuhrsiQOvkCae6ttyj765RktXb/BtPWAg1EaDmlybVMgt/d7ad999t26//XZdcskl6ujokGVZam5uVl1dnbq6uvTaa6/J8zxNmDBBixYt0hFHHLHV73/ve9/Tt7/9bfX29uqggw7St771Lf3617/Weeedpw9/+MO67LLLFIvFJEl33HGHzj77bD366KPKZDI6+eST9fWvf13BYFDLli3TggUL9OSTT0qSYrGYDjvsMF177bUaM2ZM31DrYDCoww47TNdff/02r+XJJ5/UokWL9Nhjj/XtnIjFYtprr710++23KxwO64EHHtBpp52mRx99tG/nRSQS0eTJk3XPPff0rXXzzTfr/PPP17JlyzRy5EiFQiGddtppOvjggyUVdm1Mmzatb9ZEOBzWoYceqssuu0yHHHKIHn/8cUmF9lmzZ8/WrbfeqlmzZumRRx5Rb2+vHMfR4YcfrhtvvFGS9Prrr+srX/mKbrrpJq1bt07Tpk3T+eefrxkzZvjzPzQAlLDO7h49u3K9lq7ZIK5rAcqbY1kano6oLROT55T+BUEAsCsIK4Bi0dstPXmV9I9zpfWvma4G/XHYr6TRJ/i23EOvr9aytR2+rQf4ybUsja9OqDW1/dkMAABg4HR09eiZt9frJUILoOxYklpTEY3KxsrigiAA2B2EFUCx6eqQHv2B9OD5UufbpqvB7jjyj9Iw/wao3/fq23p9/cadPxAYZJmQp6l1KcUCrulSAACoaBu6uvXMyvV6aU2H+GAPlDbHstSSCmtEOqaIR0gBoDIRVgDFauMa6aGLpMcuJ7QoFR+5S2qa59ty97y8Uss3bPJtPWBPWZJG52IamYkx0A8AgCLSvqlbT69cr5fXEloApcazLQ1LRzUsHVWQdk8AKhxhBVDsujZI//p/0sOXSqueNV0N3s+JD0q1U31b7q6XVmhVZ5dv6wF7Ih5wNbUupXTIM10KAADYgQ1dPXp+VbuWrtmgbvpDAUUt5NoakY6qNRWRaxNSAIBEWAGUjnxeWvon6ZFLpZfuMF0Ntudjz0iZkb4td8fS5Vq3qdu39YD+sCQNS0c1NheXY7ObAgCAUtDV06ulazbo+VXt6ujuNV0OgHeJeY5GZGIakgzLZrcyAGyFsAIoRSv+WQgtnv6l1N1puhpsceqrUqzet+X+9PybfLiEUamgp0m1SXZTAABQonrzeb2ytkNLVrVrzUYuggFMSgZdjczG1BAL0VIVAHaAsAIoZRtWSE9cIT12mdT+hulq8Nm1UiDu23I3LXlDXWzfhwGubWlMLq5hqQgfpAAAKBNvtm/UkrfX6y1mogGDqiYa1PB0VDXRoOlSAKDoEVYA5aBnk/TstdLD35XeetR0NRXKks7qkXw8sfuHZ19nQCIGXX0sqAnVSUU8x3QpAABgAKzZ2KUlb7czjBsYQJ5taUgyoqGpiGIB13Q5AFAyCCuAcvPK3YXQ4vk/SnlaCA0aLyadvs635bp78/rjEnbLYPCEXVsTa5Kqj4VMlwIAAAZBZ3ePXlrToRfXbFB7V4/pcoCyEA+4GpqKaEgyzNBsAOgHwgqgXK1+QXr0+9JTP5U2+XcSHTsQrZM+9Zpvy3V29+jW59/ybT1gR7YM0B6Ti/GBCgCACpTP57V8wyYtXb1Br63vZLcFsJtsS6qPhdSaiqgqQqsnANgThBVAudu4VnrqKunJK6WV/zJdTflKt0mnPOvbcus3dev2pct9Ww/YnnTI06SapFIM0AYAAGK3BbA7Ip6j1mRhF0XIpYUqAPiBsAKoJG89Jj39K+mZ30jrXzVdTXmpniyd9LBvy63u7NKdL63wbT3g3Vzb0thcXEMZoA0AALajb7fFmg16bR27LYAtHMtSfSyo5mRE1ZEAx9IA4DPCCqAS5XullxcXgoslv5c2rjFdUelrnCsdu9i35VZs2KS7X17p23qAVGj51JKKaHQ2xtVfAABgl2zZbbFsbYfWbeo2XQ5gRFUkoOZEWA3xEK1TAWAAEVYAla57o/TCzYXgYumtUs9G0xWVpqELpKNu8m25N9Z36u+vrvJtPaA2GtS4qrgSQVo+AQCA/lnV2aWX13bolbUd6uzpNV0OMKASAVfNibCaEmGFPS70AYDB4JouAIBhblBqO7pw61wt/d/vpGd+Jb38V4kN37suEPd1ue5e/uzhj1TQ1fjqBMP+AADAHkuHPKVDnsZXxbV8wyYtW9uh19d3qotjV5SJoGOrKRFWcyLMXDcAMICwAsA7QilpwqLCbd0rhdkWT/9KWv646cqKn89hBR/4sKfCrq2xubiaEmF66QIAAF9ZlqXqaFDV0aB6evN6c8NGvbq2Q6+v36humjegxARsS7WxkBrjIdVEgxw7A4BBtIECsHMr/rl5MPevpbUvma6mOE35vDTvIt+WW/L2ej25fJ1v66FyuLaltkxMI9JROTYftAAAwODp6c3rjfZOvbKuU2+2b2S3MIpW2HVUHwuqPh5SNhyQTUABAEWBsALArsvnpVfvlV64SXrxNmn5E6JV1GYzzpFmft235Z5esU5Pr1zv23oofwzPBgAAxaQ3n9fyDZv0xvpOvdG+Ue1dPaZLQoVLBFzVx0Oqi4WUpsUTABQlwgoA/df+hvTSHYXg4qU7pA1vma7InLkXS1PP8m25J99aqyWr2n1bD+WtLhbUuFxC8SDdHQEAQHFau7FLb6zfqNfbN+rtjk1c8oRBkQ17qo+FVB8LKRrgWBkAih3v1AD6L1orjTmpcMvnpbce2xxc3C69dq/Us8l0hYOHAdswoD4W0qhsjOF/AACg6CWCnhJBT23ZmDb19OrN9o16fX2hXRTz2uCXkGurOhJUVSSg2mhQQXYcA0BJYWcFgIHR1S69vLgQXrx4m7Tq/0xXNLAO+7U0+njflnvwtVV6eV2nb+uhvDTGQxqZjSkZJKQAAAClLZ/Pa2XHJr25YZNWbNikVZ2bRHaBXeXZlnKRQF9AkeD4GABKGjsrAAwMLyoNPbxwkwqDuV+8TXrxdmnZX6SNq42W5zu/d1aQI+M9LBVCilHZOO2eAABA2bAsS7lIULlIUFJhSPfKjk1a0VEIL94mvMC72JaUCQVUHS0EFOmQJ4vh2ABQNthZAWDw9fZIbzxQCC9e+av05iPSprWmq9ozH1ksNc31bbl7Xl6p5RsqqI0WdsiS1JQIa1Q2phh9dgEAQIXp6c3r7c5NWr6B8KISubaldMhTOuSpKhJUNhyQaxNOAEC54qwHgMFnO1L9jMJNKsy7WP2c9ObDhdtbjxQCjFLafeHzzgr69sKSNCQZ1shMjGGAAACgYjm2papIUFXv2nmxqnOTVnZ0aVVnl1Zv7NKGrh7DVcIPlqRE0FU65CkTCigd9pQIuOycAIAKws4KAMUpn5fWvPBOgLElxOhcZbqy7Tvl/6T0CN+Wu33pW1q/iQ9dlci2pCHJiEZmYop4DAQEAADYmY09vVrd2aXVnZsDjM4ubejmWLrYhRxbmbCndCiw+asn17ZNlwUAMIiwAkBpWf3Ce3ZgPCx1vm26KulTr0vRWt+Wu/X5N9XZ3evbeih+YddWayqq1mREQZcPaQAAAHtimwCDHRjGOJalRNBVIuAqEXQVD7pKBDwuzAEAbIOwAkDpW/PiOwHGqv+T1r5YuK9z5eDVcPr6wlBxn/xxyRvqphVURciGPQ1LRVUfD8lmizsAAMCA6enNa31Xt9Zt6tb6Td1at6mn77859t5zjiXFA64SwUL7pniwEE5EXIdWTgCAXUJYAaB8bVovrX3pnfBi7Ytbf9+x3J/nsWzpLH+v0rr+2dd9XQ/FxbakxnhYw9JRpUOe6XIAAAAqXkd3z+YAo1vrN4cYG7p61NHdQ5DxLmHXVsRzFHEdhT1HUc9VxHMU3XwjlAAA7AkmdgIoX4GYlBtbuG1P14Ztw4w1L0rrXip83fDmrj2PjzsqJKm7l/ZP5Srk2hqaimxu9cS2dwAAgGIRdh2FXadvkPe7dfX2qrOrVx3dPZtvhf/u7O5RR1fh+409pX0Mb1tSwLEVdGwFHFth1+kLId4dTrATGAAwkAgrAFQuLyJlRxdu29PVIXWskDau3vrW+Z7v5e8BO1dulZ9MyNOwdFQNtHoCAAAoOZ5tywvaigd3fAqlN59XZ3evunp71dWT3/y1V129+a3v682/c39Pr3ryeeXzUn7zGnlp8/d57crHAtuSLFmyLcmxLTnW5pv9zlfPthTYHEJsCSO2/t5isDUAoCgQVgDAjnhhyWuS1DSoT0tYUR5c21JjPKzWVIRWTwAAAGXOtqzNA6P93T2bf1eA0atCqmFZhefjIhgAQLkhrACAItNFWFHSqiIBDUmE1RAPy7H5AAkAAID+syyrsI/bkhyfd3QDAFBsCCsAoMgws6L0RDxHzYmwhiTDinr80woAAAAAALC7OKMCAEWGNlClwbMtNcTDak6ElQ17stiGDwAAAAAA0G+EFQBQZAgripdtSTXRoJoTYdVGQ7R5AgAAAAAA8AlhBQAUGcKK4mJbUnUkqPp4SPWxkAKObbokAAAAAACAskNYAQBFhpkV5nm2pdpYSPWxoGqiQbk2AQUAAAAAAMBAIqwAgCLDzgozQq6t+lhh90QuEpDNDAoAAAAAAIBBQ1gBAEWGsGLwxAOu6mNB1cVCSocYkg0AAAAAAGAKYQUAFJkuwooB41iWcpGAqiIB1cVCigf4ZxAAAAAAAKAYcJYGAIoMMyv8Y1tSJlQIJ6ojQaXDHu2dAAAAAAAAihBhBQAUGdpA9Z8lKRXyVBUJqCoSVC4ckGMTTgAAAAAAABQ7wgoAKDKEFbsnEXBVFS2EE1XhgDzHNl0SAAAAAAAAdhNhBQAUGcKKHYt4jtIhr++WCnqEEwAAAAAAAGWAsAIAigwzKwpCjq10eHMoEfKUDgYUdAkmAAAAAAAAyhFhBQAUmUrcWRFxHcWDrlLBd3ZNhD3HdFkAAAAAAAAYJIQVAFBkyjWscG1LsYCruOcUvm6+xQIuQ7ABAAAAAAAqHGEFABSRfD6v7nzphhWOJYXcQhgRCzhbBRJhl50SAAAAAAAA2D7CCgAoIsUaVFgqhBBh11bIdRRybYXf8zXkOgow7BoAAAAAAAD9QFgBAEUkn5dqokH19BZ2WPT05tXdm1dPPq+e3l7tqEOUtZMuSo5lybUtubYt17bk2Vt/v+W/37m/8H3QsRVyC1+tnT0JAAAAAAAA0E9WPl+kl/ECAAAAAAAAAICKQL8OAAAAAAAAAABgFGEFAAAAAAAAAAAwirACAAAAAAAAAAAYRVgBAAAAAAAAAACMIqwAAAAAAAAAAABGEVYAAAAAAAAAAACjCCsAAAAAAAAAAIBRhBUAAAAAAAAAAMAowgoAAAAAAAAAAGAUYQUAAAAAAAAAADCKsAIAAAAAAAAAABhFWAEAAAAAAAAAAIwirAAAAAAAAAAAAEYRVgAAAAAAAAAAAKMIKwAAAAAAAAAAgFGEFQAAAAAAAAAAwCjCCgAAAAAAAAAAYBRhBQAAAAAAAAAAMIqwAgAAAAAAAAAAGEVYAQAAAAAAAAAAjCKsAAAAAAAAAAAARhFWAAAAAAAAAAAAowgrAAAAAAAAAACAUYQVAAAAAAAAAADAKMIKAAAAAAAAAABgFGEFAAAAAAAAAAAwirACAAAAAAAAAAAYRVgBAAAAAAAAAACMIqwAAAAAAAAAAABGEVYAAAAAAAAAAACjCCsAAAAAAAAAAIBRhBUAAAAAAAAAAMAowgoAAAAAAAAAAGAUYQUAAAAAAAAAADCKsAIAAAAAAAAAABhFWAEAAAAAAAAAAIwirAAAAAAAAAAAAEYRVgAAAAAAAAAAAKMIKwAAAAAAAAAAgFGEFQAAAAAAAAAAwCjCCgAAAAAAAAAAYBRhBQAAAAAAAAAAMIqwAgAAAAAAAAAAGEVYAQAAAAAAAAAAjCKsAAAAAAAAAAAARhFWAAAAAAAAAAAAowgrAAAAAAAAAACAUYQVAAAAAAAAAADAKMIKAAAAAAAAAABgFGEFAAAAAAAAAAAwirACAAAAAAAAAAAYRVgBAAAAAAAAAACMIqwAAAAAAAAAAABGEVYAAAAAAAAAAACjCCsAAAAAAAAAAIBRhBUAAAAAAAAAAMCo/w/Zdx6mAuOkvgAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 1600x1600 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "N = np.linspace(50,200,4).astype(int)\n",
    "i=1\n",
    "plt.figure(figsize=(20,20))\n",
    "for n in N:\n",
    "    plt.subplot(2,2,i)\n",
    "    plt.title('Location after %i minutes'%(n),fontsize=40)\n",
    "\n",
    "    pieplot_collection(one_bar_td_mc,M=1000,n=n,history=False,nodes=nodes)\n",
    "    i=i+1\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "743cf5ff-6271-413c-b150-50ec29c2c8b1",
   "metadata": {},
   "outputs": [],
   "source": [
    "def collection_order(process,M, order=6, n=150, history=False):\n",
    "    final_state = []\n",
    "    for m in range(M):\n",
    "        final_state.append(process(n=n,history=history,order=order))\n",
    "    return final_state\n",
    "    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "6a3f4fd6-36be-45d1-b006-88c989df3e90",
   "metadata": {},
   "outputs": [],
   "source": [
    "def two_bars_mc(n, history=True):\n",
    "    nodes = ['Home','Bar1','Bar2','Back Home']\n",
    "    index_list = np.arange(0,len(nodes),1).astype(int)\n",
    "    trans_matrix = np.array([[0,0.5,0.5,0],[0,0.7,0.2,0.1],[0,0,0.7,0.3],[0,0,0,1]])\n",
    "    state = ['Home']\n",
    "    start_state = 'Home'\n",
    "    for i in range(n):\n",
    "        start_state = state_change(start_state,nodes,trans_matrix)\n",
    "        if history==True:\n",
    "            state.append(start_state)\n",
    "    if history==True:\n",
    "        result = state\n",
    "    else:\n",
    "        result = start_state\n",
    "    return result\n",
    "def collection(process, M, n=1000, history=False):\n",
    "    final_state = []\n",
    "    for m in range(M):\n",
    "        final_state.append(process(n=n,history=history))\n",
    "    return final_state"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "id": "260dd151-ef1c-407c-a7fe-fef83b0602e4",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "trans_matrix = np.array([[0,0.5,0.5,0],[0,0.7,0.2,0.1],[0,0,0.7,0.3],[0,0,0,1]])\n",
    "from markovchain import MarkovChain\n",
    "mc = MarkovChain(trans_matrix, ['Home','Bar1','Bar2','BackHome'])\n",
    "mc.draw()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "cfeeeaef-2626-485f-ab79-9653677694e2",
   "metadata": {},
   "outputs": [],
   "source": [
    "two_bar_history = collection(two_bars_mc,M=100,history=True)\n",
    "one = 0\n",
    "two = 0\n",
    "both = 0\n",
    "for hist in two_bar_history:\n",
    "    hist = list(set(hist))\n",
    "    if 'Bar1' in hist:\n",
    "        if 'Bar2' in hist:\n",
    "            both = both+1\n",
    "        else:\n",
    "            one = one+1\n",
    "    else:\n",
    "        two = two+1\n",
    "plt.pie([one,two,both],labels=['Bar 1 only','Bar 2 only','Both bars'],colors=['lightblue','lightgrey','lightgreen'],\n",
    "       autopct='%1.1f%%', textprops={'fontsize': 24,'color':'k'},explode=[0.1,0.05,0.0])\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "55e34a8b-a7cd-478a-b26b-033ae6f36e55",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1600x1600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "two_bar_history = collection(two_bars_mc,M=1000,history=True)\n",
    "come_back_home = []\n",
    "for hist in two_bar_history:\n",
    "    come_back_home.append(hist.index('Back Home'))\n",
    "plt.figure(figsize=(20,20))\n",
    "plt.hist(come_back_home,density=True,color='navy',alpha=0.2)\n",
    "sns.kdeplot(come_back_home,color='navy',bw_adjust=1.00)\n",
    "plt.xlabel('Return Time')\n",
    "plt.show()"
   ]
  }
 ],
 "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": "3.12.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}