{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "946fd71b-f0b9-47b2-a958-1b38d57cf5db",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Matplotlib backend set to: \"module://ipympl.backend_nbagg\"\n",
      "Matplotlib interface loaded (pysces.plt.m)\n",
      "Continuation routines available\n",
      "NLEQ2 routines available\n",
      "SBML support available\n",
      "You are using NumPy (2.4.2) with SciPy (1.17.0)\n",
      "Assimulo CVode available\n",
      "RateChar is available\n",
      "Parallel scanner is available\n",
      "\n",
      "PySCeS environment\n",
      "******************\n",
      "pysces.model_dir = C:\\Users\\jonat\\Pysces\\psc\n",
      "pysces.output_dir = C:\\Users\\jonat\\Pysces\n",
      "\n",
      "\n",
      "***********************************************************************\n",
      "* Welcome to PySCeS (1.2.3) - Python Simulator for Cellular Systems   *\n",
      "*                http://pysces.sourceforge.net                        *\n",
      "* Copyright(C) B.G. Olivier, J.M. Rohwer, J.-H.S. Hofmeyr, 2004-2025  *\n",
      "* Triple-J Group for Molecular Cell Physiology                        *\n",
      "* Stellenbosch University, ZA and VU University Amsterdam, NL         *\n",
      "* PySCeS is distributed under the PySCeS (BSD style) licence, see     *\n",
      "* LICENCE.txt (supplied with this release) for details                *\n",
      "* Please cite PySCeS with: doi:10.1093/bioinformatics/bti046          *\n",
      "***********************************************************************\n"
     ]
    }
   ],
   "source": [
    "%matplotlib widget\n",
    "import numpy as np\n",
    "import scipy as sp\n",
    "import pandas as pd\n",
    "import scipy.optimize\n",
    "import pysces\n",
    "from matplotlib import pyplot as plt\n",
    "import os\n",
    "import copy\n",
    "from lmfit import Model\n",
    "backupdir = os.getcwd()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d16f367a-e3e9-4c90-bc2b-46766ff7017f",
   "metadata": {},
   "source": [
    "Question 1:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "10e528e3-c654-4d81-b625-e7c5d822d794",
   "metadata": {},
   "outputs": [],
   "source": [
    "df1 =  pd.read_csv('A0.5B24.csv', sep= ',', names=['A','Rate'])\n",
    "df2 =  pd.read_csv('A1B24.csv', sep= ',', names=['A','Rate'])\n",
    "df3 =  pd.read_csv('A2B24.csv', sep= ',', names=['A','Rate'])\n",
    "df4 = pd.read_csv('A4B24.csv', sep= ',', names=['A','Rate'])\n",
    "df5 =  pd.read_csv('A8B24.csv', sep= ',', names=['A','Rate'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "65fcde7a-734b-472c-86bf-e744fee43daf",
   "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>A</th>\n",
       "      <th>Rate</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>0.06</td>\n",
       "      <td>0.023087</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>0.07</td>\n",
       "      <td>0.027848</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>0.08</td>\n",
       "      <td>0.030132</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>0.09</td>\n",
       "      <td>0.035427</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>0.10</td>\n",
       "      <td>0.035523</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "       A      Rate\n",
       "6   0.06  0.023087\n",
       "7   0.07  0.027848\n",
       "8   0.08  0.030132\n",
       "9   0.09  0.035427\n",
       "10  0.10  0.035523"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df2.tail()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "96d777a9-9b05-421d-9e4e-07a20f23f4a8",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'Rate')"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "ad6152362fc245eda4fc5da61f004920",
       "version_major": 2,
       "version_minor": 0
      },
      "image/png": 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",
      "text/html": [
       "\n",
       "            <div style=\"display: inline-block;\">\n",
       "                <div class=\"jupyter-widgets widget-label\" style=\"text-align: center;\">\n",
       "                    Figure\n",
       "                </div>\n",
       "                <img 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' width=640.0/>\n",
       "            </div>\n",
       "        "
      ],
      "text/plain": [
       "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "ax.plot(df1. A, df1. Rate)\n",
    "ax.plot(df2. A, df2. Rate)\n",
    "ax.plot(df3. A, df3. Rate)\n",
    "ax.plot(df4. A, df4. Rate)\n",
    "ax.plot(df5. A, df5. Rate)\n",
    "ax.set_xlabel('varied A')\n",
    "ax.set_ylabel('Rate')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "a985bb6f-a03c-4b8c-81ca-5f677f425bdd",
   "metadata": {},
   "outputs": [],
   "source": [
    "dfB1 =  pd.read_csv('A8B1.5.csv', sep= ',', names=['B','Rate'])\n",
    "dfB2 =  pd.read_csv('A8B3.csv', sep= ',', names=['B','Rate'])\n",
    "dfB3 =  pd.read_csv('A8B6.csv', sep= ',', names=['B','Rate'])\n",
    "dfB4 = pd.read_csv('A8B12.csv', sep= ',', names=['B','Rate'])\n",
    "dfB5 =  pd.read_csv('A8B24.csv', sep= ',', names=['B','Rate'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "3c8f5f04-96c7-4073-b57d-4b43a6c99461",
   "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>B</th>\n",
       "      <th>Rate</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>0.06</td>\n",
       "      <td>0.024313</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>0.07</td>\n",
       "      <td>0.025671</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>0.08</td>\n",
       "      <td>0.033047</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>0.09</td>\n",
       "      <td>0.033753</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>0.10</td>\n",
       "      <td>0.040238</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "       B      Rate\n",
       "6   0.06  0.024313\n",
       "7   0.07  0.025671\n",
       "8   0.08  0.033047\n",
       "9   0.09  0.033753\n",
       "10  0.10  0.040238"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "dfB2.tail()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "id": "6c82efce-dc2d-4daa-88f7-4a656cccd79f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'Rate')"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "d0491588d92b45e2a3334b34c6f71e96",
       "version_major": 2,
       "version_minor": 0
      },
      "image/png": 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",
      "text/html": [
       "\n",
       "            <div style=\"display: inline-block;\">\n",
       "                <div class=\"jupyter-widgets widget-label\" style=\"text-align: center;\">\n",
       "                    Figure\n",
       "                </div>\n",
       "                <img 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PpbGofThw21/m56qj08A5yt4n6K0i1Fa9bKFb0Vx4+fW9hxww0y+Dl17GjqS6RLYAAkIiK6RgfXJePI5lTABrjhkdYIsoJaf9qSUhT89ivyFi2CJi29xsKO0fB+aBzsw8JMfYl0BRgAiYiIrkH83kzs+N1Q66/PHS3QvLN/o76P6sxM5C9ejPwlS6ErLpbHlD4+8H5gDDzvvZcLOywMAyAREdFVSosvwPrvDcOe7Qc1QYchjbfWX0VsHPK++w6FK1eeW9jRtCm8H37IsGOHg4OpL5GuAQMgERHRVcjPKMWqeYeh0+jRrKMf+tzV+Gr9yYUdu3Yhd+G3KN22rfq4c9eu8H7kEbgOHMCFHRaOAZCIiOgK5aSUYMWcg6gs0yCgqTuGPtK6UdX6kws7Vq+WO3ZUxsQYDioUcBs2DD4PPwSnDh1MfYlUTxgAiYiIrnDYd+Xcw1CVa+AT4tKoav1pS0pQ8OtvhoUd6WcXdjg5wfOOO+A97kHYhzbeIW5rxQBIRER0GacOZWPNN8egVesQ1MJDhj8HZ7tGsbBDhL6Cpf+DrqREHlP6+hoWdtxzDxd2NGIMgERERJcQsyMNGxfHQq/Ty/19hz/WBrYW3vNXERuLvG/PLuzQaOQx+2bNZP0+91GjuLDDCjAAEhERXcT+NWew84+T8vXoXoEY9EA0FEqFxS7sKN2xQwa/0u3bq487d+sGb7FjxwAu7LAmDIBERETnEb19O/44iYPrkmS70w1h6DW6ucWu9i3Zth1Zs2ah8sQJwwGFAu4jhss9ep3atTP15ZEJMAASERHVoNXqsOnHEzixK0O2RfDrPCzcIu+RrrIS2Z98grwfFsm2jbPzuYUdTZqY+vLIhBgAiYiIzlKrtFj79VGcPpILG4UNBo+NRnSvIIu8P5Xx8Uid+gIqY2Nl2+v+++H33LNQejb+7ero8hgAiYiIxMKIUjVWzT2M9JOFUNopMOLxtnLRhyXO9cv/6WdkzZwJfWUllN7eCHrvXbgNHGjqSyMzwgBIRERWr7SgEsvnHEReWikcnG0xckJ7BLewvJ4yTW4u0l+ZjpLNm2XbpX8/BL/3Hmx9LS/IknExABIRkVUryCzD8s8OojivAs4e9rjluY7wCXGFpSnZuhVpL78CbU4ObOzt4T91KrzGPmCxC1fIuBgAiYjIamWdKcKKzw+hokQND38nGf7cfZ1gaQs9smZ9jPwff5Rth5YtEDzrYzhGRZr60siMMQASEZFVSj6Rh3/mHYG6Ugu/MDfc/EwHOLvbw5JUxMUhTSz0iIuTba8HHoD/1OehcHQ09aWRmWMAJCIiq5OwLwvrvjsGnUaPkCgvjBzfDvZOtpa30OOjj6BXqaD08UHwe+/KYs5EV8JyvtuJiIjqwdHNKdi8JA7QA807++GGh9vIVb+WQpOTg7Tp01G6eYtsc6EHXQsGQCIisgqi12zvqtPYveKUbLfpF4z+90VBobCcRRJidW/aK9Ohzc01LPR44QV4PTCGCz3oqjEAEhGRVWzttnVpHI5sTpXtrjdFoPvNTS0mOMmFHjNnIX/xYtl2aNkSwR/PgmMkF3rQtWEAJCKiRk2r0WH998eRsDcLsAH63R2J9oMsZxu0ilix0GOq3NlD8Bo71rDQw8HB1JdGFsxiJj3MnTsXTZs2haOjI7p06YKtW7de8vzNmzfL88T5zZo1w1dffXXBOQUFBXj66acRFBQkz2vVqhVWrVplxM+CiIgakqpCg5VfHpLhT6G0wbBH2lhM+BND1nmLfsTpu+6S4U8s9AhdMB+B019h+CPr6AFcunQpJk2aJENgnz59MH/+fNx44404fvw4wsLCLjj/1KlTGDlyJB5//HEsXrwY27dvx4QJE+Dn54c77rhDnqNSqXDDDTfA398fv/32G5o0aYLk5GS4ubmZ4DMkIqL6Vl6iwt+fH0LWmWLYOihx45NtEdbax3IWerz8CkrPdna4DOhv2NHDxzKun8yfjV78iWHmevTogc6dO2PevHnVx0Rv3W233Yb333//gvOnTZuG5cuXIyYmpvrY+PHjcejQIezcuVO2RY/gzJkzceLECdjZ2V3TdRUVFcHDwwOFhYVwd3e/pucgIqL6J3b1ELt7iF0+HF3sZI2/gKaW8XO6eNMmuZ2bNi8PNg4O8H/xBXjdf7/FzFe0BEX8/W3+Q8Cip27fvn0YNmxYreOivWPHjjrfR4S8888fPnw49u7dC7VaLdsiIPbq1UsOAQcEBKBt27Z47733oNVqjfjZEBGRsYn9fJd9tE+GP1cvB4x+obNFhD9dRQUy3n4HKeOfkuHPITISTX/7Fd5juMqXrHAIOCcnR4YyEdJqEu2MjIw630ccr+t8jUYjn0/M+UtMTMSGDRswZswYOe8vPj5ehkFxzmuvvVbn81ZWVspHzb8giIjIfGQkFuLvLw6hskwDr0Bn3DKxI1y9zH9XjIrY2LMLPRJk2+vBsfB/ngs9yIoDYJXzu77FyPWlusPrOr/mcZ1OJ+f/LViwAEqlUi4YSUtLk8PCFwuAYrj5zTffrIfPhoiI6tuZo7lYPf8INGqd7PG7+ekOcHS9tik+DUWv08nSLmIvX7mjh68vgt9/D679+pn60qiRM/sA6OvrKwPa+b19WVlZF/TyVQkMDKzzfFtbW/icnUAregHF3D/x3DXnFYr3E8PO9vYX7gf58ssvY8qUKbV6AENDQ6/7cyQiousT+18GNvwQA51Oj7A2PhjxRFvYOZz7+W6ONNnZhoUe27bJtuvAgQh69x0u9KAGYfZzAEUQE71z69atq3VctHv37l3n+4i5feefv3btWnTt2rV6wYdYTZyQkCB7AqvExcXJYFhX+BMcHBzkYo+aDyIiMq1D/yZj/XfHZfiL7BGAkRPamX34K964EYm33ibDn1joEfDaq2gyby7DHzUYsw+Aguh1++abb/Dtt9/Klb2TJ09GUlKSXNlb1TP34IMPVp8vjp85c0a+nzhfvN/ChQsxderU6nOeeuop5ObmYuLEiTL4rVy5Ui4CEfMAiYjI/ImpPTv/PIltvxoKJHcYHIqh41pDqVSY90KPt95GylMTDAs9oqIMCz24ypcamNkPAQv33HOPDGtvvfUW0tPT5YpdsXAjPDxcvl0cE4GwiigYLd4uguKXX36J4OBgzJkzp7oGoCCGbkWvoDinffv2CAkJkWFQlJAhIiLzptPqsOnnWMRsT5ftnrc1Q+fh4WZdKqXixAmkTp0KVcJJ2fYeNw5+UyazqDOZhEXUATRXrCNERNTwNGot1n5zDKcO5UDkvYFjotG6b7BZL/TIW7QI2R9/Ar1aDaWfL4Lfex+u/fqa+tKsVhHrAFpGDyAREZFQWa7BqrmHkRZfAKWtAsMea4NmHf3M9uaos7JkUefqhR6DBhkWenh7m/rSyMoxABIRkUUoLazEis8PITelBPaOSoyc0B4hkV4wV8UbNiJ9+nRo8/MNCz1emgbPe+8162Fqsh4MgEREZPYKs8vk1m5FORVwcrfHqGc7wC/UPPdu15WXI/Ojj1DwyxLZdoiORsismXBo0cLUl0ZUjQGQiIjMWnZysez5Ky9Swd3XUe7u4eHnDLNd6PH8VKhOnl3o8dBDhoUeFykvRmQqDIBERGS2UuPy5Zw/VYUWPk1cZc+fi4cDLGKhx/sfwLVvH1NfGlGdGACJiMgsJR7Mlqt9tRodglt6yjl/Dk625rnQQ+zosX27bLsOHoygd97mQg8ya+b3P4mIiKze8e1p2LT4BEShsqYdfOVqX1s789vdo3jDBrnKV1tQABtHR8NCj3vu4UIPMnsMgEREZDZEadr9a85g15+Jst2qTxAG3h8FhZnt7iEXenz4IQqWLJVth1atDAs9mjc39aURXREGQCIiMgt6nR7blyXIvX2FziPC0fPWZmbXm1YRE4PUqS+cW+jx8MPwmzyJCz3IojAAEhGRyWm1OmxYFIO4/zJlu8+dLdBxaBjMbqHHd98ja/ZsQK2GrZ8fgj54H659uNCDLA8DIBERmZS6UovVC44i6VguFAobDB7XClE9As3qq6LOyEDaSy+jbNcu2XYdMsSw0MPLfAtRE10KAyAREZlMRYkaK+ceQkZiEWztFBj+RFtEtPM1q69I0erVSH/9DegKC2Hj5ISAV16G5513mt3QNNHVYAAkIqIGo6rQICOxEGlxBXI/38zTRdBp9XBwtsXNz3RAYDMPs/lqaEtKkfnOOyj880/ZdmzbFsEzP4JD06amvjSi68YASERERg186QmFSIvPR2pcAbLPFEOn09c6xyvQWfb8+QS7ms1XouzAAaS9OA3q5GTAxgY+Tz4Bv6efho2dnakvjaheMAASEVG9qSwXga9Ahr20uHxkJ5fI1b01uXk7IiTSE8Hi0dJLbu9mLsOpeo0GOfO+Qs5XX4mVKbALDkbwRx/CuWtXU18aUb1iACQiomtWUao2BL54EfgKkJNcLIs31yQCXnCkF0JaisDnCXdfJ7O846qkJKS98CLKDx2SbfdRoxD42qtQurmZ+tKI6h0DIBERXdWiDTF3LzU+X77MSSkBzgt8Hn5OZ3v4vGTgEz1+5l58uvCPP+V8P11ZGRSurgh8/XV4jLrZ1JdGZDQMgEREdFHlxSpD4JOLNvKRm1p6wTmeAc5yOFeGvhZecPVysJg7KrZwEyt8i9eskW2nrl0Q8uGHsAsJMfWlkZiLqS6T98HZzpn3o54xABIRUbWyIhVS4/KrQ19++oWBzyvIxTCcK+fwecLFw3ICX02lu3YhbdpL0GRmAra28Hv2Wfg89ihslOa353BjJ3phM0ozEJcfh9j8WMTmxcrXzxSdwSs9XsG90fea+hIbHQZAIiIrVlpQaRjOjTMEvoJMQ49LTd7BVYHPMKTr7G4PS6ZTqZD96WzkffedbNtHRCB45kw4tWtr6kuzChWaCpwsPIm4vNphr0hVVOf5IgRS/WMAJCKyIsV5FbJ3T6zQFQs3CrPKa59gA/iEuNbq4XNytezAV1NlQoLcx7fyxAnZ9rz7bgS8NA0KZw4xGqNXL6ssq7pXryrwiUCn1WsvON/WxhYRHhGI8o5ClJfhEekdCV8n8yoM3lgwABIRNWJFueXn5vDF5aMop6L2CTaAbxNXhJzt3RMPRxe7RhlG8n/6GVkzZ0JfWQmll5fcys1tyBBTX1qjoNKqkFiYKHvzaoa9gsqCOs/3dPCsDngy7HlHoZlHM9grG88fG+aOAZCIqBGFHBHw0moM6Yoev5pEuT2/MDcZ9EToC2rhAQfnxhf4atLk5CBt+nSUbt4i2y59+yLovXdh5+9v6kuzSDnlOeeGb88O4Z4uPA2NXnPBuQobBSLcI2qFvUivSPg7+5tN7UdrxQBIRNQIqCu1WDXvMFJO5Nc6bqOwgX+4IfDJRwtP2DtZz4/+4o0bkT59BrR5ebCxt4f/1KnwemAMbBQKU1+a2VPr1DhVeKp6jl7Vy9yK3DrPd7N3q+7Nqwp6zT2bw9HWvMsAWSvr+SlARNRIabU6rF5wVIY/hQh8EW7VhZcDm3vA3tH6ftTrysuR+eGHKFiyVLYdoqLkPr6OkZGmvjSzlF+RX2tBhnicLDgpQ+D5bGCDcPdwGfBE2JMvvaIQ6BLIXj0LYn0/FYiIGtmw78YfTyDpWC5s7RS4dXInBDbzgDUrP3YMaVNfgOrUKdn2fugh+E2eBIWDZZarqU8anUYuwqieqyfCXl4cssqz6jzf1c5VBryaYa+FZwvW5WsEGACJiCzYzj9OInZXhhzqHf5EW6sOf3qtFrnffovsOZ8DajVs/fwQ9MH7cO3TB9Zu9anV+P7Y90goSECltrLOc0LdQqvn6lX16oW4hrBXr5FiACQislAH1yfhwNok+fqgB6IQ0c56y2Wo09OR9uI0lO3ZI9tuN9yAwLfehK2XF6yZVqfFZwc+w3dHDTUPBSdbp+qAV9Wz19KrJVzsXEx6rdSwGACJiCxQ7H8Z2P5bgny9523N0Kp3MKxV0apVSH/jTeiKimDj7IzA6a/AY/Roq++5KlYVY9qWadiaulXep4fbPow7W96JJm5N5Opcsm4MgEREFibpeC42/BAjX28/qAk6Dw+HNdKWlCDz7bdR+Ndy2XZs3x4hH30od/awdmKe37MbnpWreB2UDnir91sY2WykqS+LzAgDIBGRBck8XYR/5h+FTqdHi67+6HtXS6vs6Srbvx9pL7wIdWoqoFDAd/yT8H3qKdjYNe6ahldiR9oOTN08VfYAinp7cwbNQRvfNqa+LDIzDIBERBZC7NP79xeHoKnUokm0F4aOay0Xf1gTvVqNnHnzkPPVfECng11IiCzv4ty5M6ydWBH+84mfMXPPTLnVWnu/9pg9cDb8nP1MfWlkhhgAiYgsQGlhJVZ8fhAVJWq5k8eNT7aD0s665nGpzpxB6gsvouLwYdn2uPUWBMyYAaWbG6yd2Irt3f/exe/xv8v2Lc1vwWu9XpPDv0R1YQAkIjJzleUarPj8kNzmzd3PCTc/08GqdvMQPVuFy5Yh4733oS8rg8LNDUFvvgH3kZzTVrU125RNU3Ag64Bc3DGlyxQ82PpBq5waQFfOen6CEBFZIK1ah3/mHUZuSgmc3Oxwy3Md4OxuD2uhyc9Hxmuvo3jdOtl27tYNwR9+ALtg6131XFNMbgye2/gcMkoz4Gbnho8GfIS+IX1NfVlkARgAiYjMlFjose67Y0iNK4CdgxKjnu0IDz9nWIvSHTuQ9tLL0GRlAXZ28HvuWfg88ghslEpTX5pZWHN6DWZsm4EKbQUi3CMwZ/AcNPVoaurLIgvBAEhEZKbDntuWxuHk/mwolDa48al2cu6fNdBVViL7k0+R98MPsm3ftCmCZ82EUxuuZJX3R6/D3INzMf/wfNnuE9xH9vy527ub9OtGloUBkIjIDO375wyObE4FbIChD7dGaLS3qS+pQVTExcl9fCvj4mTb8957EDBtGhROTqa+NLNQqi7FK1tfwYbkDbI9rvU4TO4yGUoFe0Xp6jAAEhGZmePb0vDf8kT5er+7W6Jl1wBYQ49n/o+LkTVrFvQqFZTe3gh65x24DR5k6kszGynFKbK4s9jP105hhzd6vyFX+xJdCwZAIiIzcupQNjb9dEK+3nlEONoPCkVjp87KQvor01G6bZtsu/Tvh+B334WtH+vXVdmTsUeu9C2oLICvky9mD5qNDn4dTPhVI0vHAEhEZCbSEwqw5ptj0OuB6N5B6HlrMzRWep0OlfEJKPtvF3LmfQVtfj5sHBzg/+IL8Lr/fpYwqWHpiaX4YPcH0Og1aOPTBp8N+gwBLo2/V5iMiwGQiMgM5KaVYOXcw7LsS0Q7HwwaE9WoQpDYwaMiJgZle/aibO9euZWbrrCw+u0O0dEImTUTDi1amPQ6zYlap8YH/32A/8X9T7ZHNh2JN3u/CUdbR1NfGjUCDIBERCZWnFeBFXMOobJMg8Bm7hj2eFsolJa9y4euogLlhw6jbN9elIvAd+Ag9OXltc6xcXaGc8cOcOnbD14PjIHC3nrqG15OfkW+HPLdm7kXNrDBxM4T8UjbRxrVHwVkWgyAREQmVFGqxoo5B1FaUAmvQGfcNKED7Owtb0WntrgY5QcOoGzvPtnDV37kCKBW1zpH4eEB5y5dDI9uXeHYqhVs7OxMds3mKjYvFhM3TkRqSSpc7FzwYb8PMSB0gKkvixoZBkAiIhNRq7RY+eUh5GeUwcXTAaOe6whHV8sIRJq8PMNQrgh7e/eh4sQJUbm61jliEYcIek5du8K5S1c4tGwBG4Vl92wa279J/+LlrS+jXFOOULdQfD74czT3bG7qy6JGiAGQiMgEdFod1n59FBmJRXBwtsWo5zrAzdt853ap09MNgU/M4du3D6qTJy84xy4szNC7JwJft66wCw3lkOVVlMFZcHgBvjj4hWz3COqBjwd8DA8Hj/r9QhKdxQBIRGSCX/Ybf4rF6SO5UNopcNOE9vAJdjWr61OdOn1u/t6evVCnpV1wnkPLloYevrOhzy6AK1OvRZm6DK9ufxVrz6yV7fuj78fUblNlrT8iY2EAJCJqYLv+SsSJHekQ8/mHP9YGQS08Tfo10Gu1cueNqt490dOnzc2tfZJSCcfWrat795w6dYKtl5epLrnRSC9Jx3Mbn8OJvBOwVdhieo/puDPyTlNfFlkBBkAiogZ0aEMy9q8+I18fOCYaTTs0fLFjsdNG+bFj1fP3ZEmW4uJa59jY28OpQwc4dT07pNuxIxQuLg1+rY3Z/sz9mLxpMvIq8uDt6I1PBn6CLgFdTH1ZZCUYAImIGkj83kxs+zVevt7jlmZo3Te4QT6urrwc5YcOVdfgE6/rKypqnSPCnVPnzoaw17ULHNu1Y1kWI/o9/ne8vettaHQaRHtHy+LOwa4N8/1AJDAAEhE1gOSYPKz/7jigB9oNCEGXG8ON9rG0RUWyV69q/p7o7YNGU+scpZeXDHoi8IlVuo5RUbCx5a8EYxOBb9beWfgp5ifZviH8BrzT5x042zkb/WMT1cT/7URERpadVIx/vjoCnVaP5p390feeyHpfHavJz0f+j4tRvGEDKmNjxUqOWm+3DQyEc7du1TX47Js14wrdBlZYWYipm6diV/ou2X6649N4sv2T/DqQSTAAEhEZUWF2GVZ8fhDqSi1Cojxxw8OtoVDUX/jT5OQg97vvkP/LEujLyqqP20dEyKAne/i6dIVdSDCDhgmdLDiJZzc8i+TiZDjZOuH9vu9jSPgQU14SWTkGQCIiIykrUmH5nEMoL1bDp4krbhzfXpZ9qQ/qzEzkLlyIgv/9Wj2fz6F1K/g8/DBcevaURZjJPGxO3oxpW6ehVF2KYJdgzBk8B1HeUaa+LLJyDIBEREagqtDg7y8OoSi7HO6+jhj1bAc4OF3/j1x1aipyvvkGhb8tg/7sVmuOHdrD96mn4DpgAHv5zIiop/jt0W/x2f7PoIdervAVK33Fil8iU2MAJCKqZ1q1Ts75E3P/nNzsMOrZjnDxcLiu51QlJSFnwQIU/vlX9YIOUaJFBD+X3r0Z/MxMhaYCr+94HatOrZLtuyLvwsvdX4adksWdyTwwABIR1SO9To/1PxxHyol82DoocfMzHeAZcO0rPCsTTyF3/lco/HsloNXKY849e8J3wlNw6d69Hq+c6ktmaSYmbpyIY7nHoLRRyuB3T/Q9vMFkVhgAiYjqcchP1PlL2JslF3rc+GRb+Ie7X9NzVcTFIfer+Sj655/qFb0u/frJHj/nzp34NTNTh7MPY9LGScguz5b7+H4y4BN0D2JQJ/PDAEhEVE/2rzmDwxtT5OtDHmqFsNY+V/0cFcePI2feVyhet676mOvgwfB9ajyc2rXj18qMLT+5HG/ueBMqnQotPFvIxR6hbqGmviyiOjEAEhHVg5gdadj1Z6J8vc+dLRDZPfCq3r/88GHkzJ2Hkk2bqo+5DR8O3/FPwrFVK36NzJhWp8Xs/bPx/bHvZXtg6EB80O8DuNhx6zwyXwyARETX6fThHGxcHCtf7zQsDB2Hhl3x+5bt2yeDX+n27YYDCgXcb7xRBj+Hli35tTFzRaoivLjlRWxPNXz9nmj/hCzwrLCpn3I/RMbCAEhEdB0yEgux5uujcvFHVM9A9Lq9+RXNFSz7bzdy5s5F2e7dhoNKJTxGjYLPk0/AoWlTfk0swOnC07K48+mi03BUOuLtPm9jRNMRpr4sIvMIgBqNBps2bcLJkydx//33w83NDWlpaXB3d4erq6uxPzwRkdHkpZfi7y8PQaPWIayNDwaNjb5kORYR/Eq3bUfOvHko37/fcNDODp633QafJx6HfSjni1kK0eP3wuYXUKwuRoBzgJzv19qntakvi8g8AuCZM2cwYsQIJCUlobKyEjfccIMMgB999BEqKirw1VdfGfPDExEZTUl+BVbMOYjKUg0CmrpjxBNtoVQqLhr8SjZuksGv4sgReczG3h6ed94Jn8cehV1wML9SFiKrLAuLjy/GD8d/gE6vQ0e/jvh00KfwdfI19aURmU8AnDhxIrp27YpDhw7Bx+fcarjbb78djz32mDE/NBGR0VSUqrHi80Moya+UNf5uero97ByUF5yn1+lQvG49cr76CpUxMfKYjaMjvO65G96PPAq7AH9+lSzEibwTWHRsEf45/Q80OkMh7tta3IZXe74Ke6W9qS+PyLwC4LZt27B9+3bY29f+zxEeHo7U1FRjfmgiIqPQqLRYNe8w8tJK4eJhj1HPdYCTa+2fcXqtFkWrVyNXBL/4BHnMxtkZ3vffB++HH4ZtjT+IyXyJHr6tKVux6Pgi7M44O1cTQGf/zhjXZhwGhQ7iDixksYwaAHU6HbRnK9fXlJKSIoeCiYgsiU6rw5pvjiE9oRD2TrYY9VxHuPs4Vb9dr9Gg8O+/kTt/AVSnTsljCldXeI19AN4PPghbLy8TXj1dqXJNOVacXIEfj/8oF3gIYkePYRHD8GDrB9HWty1vJlk8owZAMedv9uzZWLBggWyLydElJSV4/fXXMXLkSGN+aCKieiXm8W3+OVaWfFHaKnDThHbwCTEsZNOrVCj46y/kLvga6uRkeUzh4QHvB8fCe+xYKN2vbTcQaljZZdn45cQv+F/c/1BYWSiPudm54c7IO3F/q/sR6HJ1tR2JzJmNXvxUMxKx2nfQoEFQKpWIj4+X8wHFS19fX2zZsgX+/pY9/6WoqAgeHh4oLCyUq5qJqPH6b3ki9q46DbHId8QT7dCskx90lZUoWLYMud98A01aujxP6eUlh3m97r8PSlY6sAixebFymHfVqVXV8/uauDbBA60fkPP8WNC58Sni728YtVJlcHAwDh48iBdeeAFPPvkkOnXqhA8++AAHDhy46vA3d+5cNG3aFI6OjujSpQu2bt16yfM3b94szxPnN2vW7JIrjpcsWSJ7J2+77baruiYisg5HNqXI8Cf0vy8KEdGuyPvhB5y8YRgy33pbhj+lny/8p01Di3/Xw/eJxxn+LGB+35aULXhs7WO4c8Wdchs3Ef7E/L7ZA2fj79v/xphWYxj+qNEyag+g6OXr3bs3bG1tL6gNuGPHDvTv3/+Knmfp0qUYO3asDIF9+vTB/Pnz8c033+D48eMIC7uw4v6pU6fQtm1bPP744zJ4ioUoEyZMwC+//II77rjjglI14jlFSPT29saff/55xZ8f/4IgavwS9mVhzTdHAT3QdVgIWuRvQ+6330GbmyvfbhsYCJ/HHoPnnXdA4eho6suly6jQVGBFomF+36nCU+fm94UPw9jWY9HOj/stm5WidMAtUMwhq9+nLeIInlEDoBj6TU9Pv6C3Lzc3Vx6ra4FIXXr06IHOnTtj3rx51cdatWole+zef//9C86fNm0ali9fjpizZReE8ePHy3I0O3furD4mPv6AAQPw8MMPyx7FgoICBkAiqpYSm48Vnx+ETqNHc58CNP13JnQFBfJtdiEh8Hn8cXiMvh2K8yodkPnJKc/BkhNL8L/Y/yG/Ml8ec7VzNczvi74fQa5Bpr5EqqmiCNj6MbBrLnDPYiByeL3enyIGQOMuAhHZsq6q+CIAurhc2SbZKpUK+/btw0svvVTr+LBhw2QvYl1EyBNvr2n48OFYuHAh1Go17Ozs5LG33noLfn5+ePTRRy87pCyIYtbiUfMbiIgap5yUYvwz95AMf375RxG26SvooIddeBh8n3gSHreMgs3ZnyVkvuLy42Rv38rElVDr1PJYiGuIHN4d3XI0h3jNjU4LHFgMbHgbKM02HItdVe8BkIwUAEePHi1fivD30EMPwcHBoVav2+HDh+XQ8JXIycmR7xMQEFDruGhnZGTU+T7ieF3ni6Fn8XxBQUFyWFgEQjFH8UqJ3sY333zzis8nIssj/nCN35OJzT8cgUqrhGdBPFof+RoOzZvBd/yTcL/xRticN62FzO9ruD1tuyzcvDP93KhPB78OsozL4LDBsFXwa2h2Tm0F1rwMZBh2y4F3c2D4u0Ak91c2BqP8DxArY6v+E4p6f05O5+pkiaLQPXv2lPPzrsb5PYkX61281PlVx4uLi/HAAw/g66+/liuSr9TLL7+MKVOm1OoBDOXenUSNRmlBJTb/EotTh3LEJBa4FZ1B14p/EfTJTLgNGwYbhVHXzVE9zO8TPX2ix+9k4Ul5TGGjwNCwoXJ+X0f/jrzH5igvEVj3GhCzwtB28AAGTgO6PQ7YcnqFRQXA7777Tr6MiIjA1KlTr3i4ty4ioIm5hOf39mVlZV3Qy1clMDCwzvPFYhSxJd2xY8dw+vRpjBo1qlbRakGcExsbi+bNm1/wvKIns2ZvJhE1DuIPxBM7M7D9t3hUlmlgo9Mg4sw/6PZAV/iOWcLgZwHz+8TcvqWxS5FXkSePidItYohXDPWKIV8y13l+s4Bd8wCtCrBRAF0fAQa+ArhwtxxjM2ofuCj4fL1Ej6Eo57Ju3Tq5h3AV0b711lvrfJ9evXphxYqzf0mctXbtWlmHUMz/i46OxpGzG7JXmTFjhuwZ/Oyzz9irR2RFivMqsGnxCSQdNwQH0evXKnYxmk96GN5jx5j68ugSEvIT8GPMj/j75N9Q6VTyWLBLcPX8Pld7Q6FuMsd5fj8CG945N8+v2SBg+HtAQGtTX53VMPokiN9++w3/+9//kJSUJBd01LR///4reg4x7CrKwIgAJ8Kd2FlEPJ9Y2Vs1NCv2Fl60aJFsi+NffPGFfD8x1CwWhYj5fqIMjCBqA4oyMTV5enrKl+cfJ6LGSa/T49i2NOz4PQHqCi0UNno0TfgToSkbEPj8ZHiPfcDUl0gX6a3dmbZTFm4W8/yqtPdtjwfbPIghYUM4v8+cndoCrH4ZyDxqaPu0MAS/lsPqvdQLmTAAzpkzB9OnT8e4cePw119/yXIrJ0+exJ49e/D0009f8fPcc889cuWwWLUrysqIkLZq1SqEh4fLt4tjIhBWEQWjxdsnT56ML7/8UhakFtdyfg1AIrJOhdnl2Lg4BqmxhpIuvu5qNF/3HlzKs+D79NOyrh+Zl0ptJVYlrpLBL6EgoXp+nwh8YmEH5/eZudyThnl+J/42tB3FPL+Xga6Pcp5fY6wDKIZaxTDwfffdJxeDiDp8ouDya6+9hry8PNlLZ8lYR4jIsuh0ehzZmIJdf52ERqWDrb0CHVuUw23eVNjodfB+5BH4vzD1kgvMqGHllufK+X1LYpdUz+9ztnWunt/XxK0JvyTmrKIQ2DIT2PUVIMrw2CiBbo8awp+zt8kuq4h1AI3bAyh65arKvYiVwGKOnSCGc8VKYEsPgERkOfIzSrFh0QlkJBbKdkikJ7qFZ6Po1aliPFju3cvwZz5OFpyUq3lXnFxRPb8v0CUQD7R6QIY/N3s3U18iXYpWAxxYBGx4FygTq+oBNB9iGO71j+a9a+wBUKzGFUO3YqhWPHbt2oUOHTrIrdqM2PFIRFRNp9Xh4Ppk7F5xClqNDnaOSvQe3QJh2jikPjtVdAvCY/RoBMyYwZ4/ExO/F3al75LDvNtSt1Ufb+vTFuPajMOQ8CGwU7D4ttlL3ASsfgXIOmZo+0aened3g6mvjBoqAA4ePFiuxhXbuIndNsScPLEoZO/evdXFoomIjCU3tQQbFsUg64xh9CGstTcGPhANxYn9SH5mktiYHO4jRyLo7bdY6sWEVFoVVp0yzO+Lz4+Xx2xgY5jf1+ZBdPTryHBuKfP81s4w7NwhOHoCg14xlHZRMrhb1RxAUVtPPERtPUGsBt62bRtatGghS7pYehFlziEgMk9arQ77V5/B3lWnodPq4eBsiz53tkR0r0CU79uHpMefgL68HK5Dh6DJp59ySzcTKFOXYV/mPtnjJ4o351bkyuNOtk6G+X3RYxDqbtm/I6xGeYFhnt9/88/N8+v+ODBgmknn+V1KEecAGrcHUKFQyEeVu+++G/3798e7776LyMhIlJeXG/PDE5EVyk4qxr+LYpCbUiLbEe19MfD+KLh4OqD88GEkPzlehj+Xfv0Q8sknDH8NROzDezTnKHal7ZKh73DOYWh0muq3BzgHVNfv8xA7QZBlzPPb/z2w8T2gzBDgZTmXYe8AflGmvjoyRQAsKCiQZV5E8WVRePmll17CM888gzfeeAMff/wxWrdujW+//dYYH5qIrJRWrcOelaewf22SrPHn6GKHfve2RMuuAXL4sCImBkmPPQ5daSmce/RAk8/nQGHPbaaMRQwuxeXH4b/0//Bfxn/Ym7EXZZqyWueIHTp6BPVA35C+GBg6kPP7LMnJDYZ5ftkxhrZv1Nl5fkNNfWVkygD4yiuvYMuWLbL+3+rVq+XcP/GyoqJC1ucbMGCAMT4sEVmpjFOF2PBDDPIzDAGjRRd/9LsnEs7uhoBXmZCApEceha6oCE4dOyJ07pdQODqa+Kobn9SSVBn4RC+fCH1VZVuqeDp4ysAnHj2DeiLUjUO8Ficn3jDPL261oe3kBQyaDnR5iPP8LIxRAuDKlSvlfsBDhw7FhAkT5Jw/MeQ7e/ZsY3w4IrJSapUWu5cn4tC/yRCzmZ3c7THgvkg07+RffY7qzBkkPfwItPn5cGzdGqFfL4DiOvYnp3PyK/Jl0KsKfSklKbVuj5jP1zmgM3oF9ZKhL9IrUhZvJgtUng9s/gjYvQAQQ/cKW6D7E8CAFw0hkCyOUQJgWlqaHOYVROFnsfXaY6ysT0T1+XMmPl/W9RO7eghRPQLR966WcHQ9t9pQnZaGMw8/DE12NhxatkTowm+gdGP9uOtZuLE/a391D9+JvBO13q60UaKdbzv0DO6JHoE90MGvA+y4+tOyiXl++74zzPMrP9ujGznCMM/Pt6Wpr47MLQCKlb9i7l8VpVIJF/7FTUT1QFWhwa4/TuLI5lTZFos7Bo6JQkQ731rnqTOzcOahh6FJS4d9RATCvl0IWy/2VFztwo1jOcewM32n7OU7lH2o1sINoaVXSxn2egX3QpeALnCxY+9qo5GwHlgzHcg+G/T9WgHD3wVaDDH1lZG5BkAx+fehhx6Cg4ODbIu5f+PHj78gBP7+++/G+PBE1Eglx+Rh448nUJxXIdut+waj9x0t4OBU+0eZJi8PSY88AnVSEuyaNEHY99/B1s/PRFdtOcTP7viCeMOQbvquOhduBLkEyfl74tE9qDt8nWoHb2oEsuOAtdOB+LWGtpO3oZ5fl4cBpVGLh1ADMspXUiz+qOmBBx4wxochIitRWa7Bjt/icXx7umy7eTti0NhohLa6sMaYtrBQLvhQnTwJ24AAGf7sAgNNcNWWIa0kTYY98RDB7/yFG6Iki+jhq7lwg3slN1JlecDmD4E935yb59djPNB/Kuf5NUJGCYBiAQgRUX04fSQHm36KRWlBpWy3G9gEPW9rBnvHC398aUtKZJHnyhMnoPT1leHPvkkTfiHOW7ixO2N3dS9fcnFyrfvjqHSUQ7lVgS/KO4oLNxo7rRrY+x2wSczzyzccixoJ3PA24NvC1FdHRsK+XCIySxWlamz7Xzxi/8uQbQ8/Jwx+MBrBLeuex6crK0Py+PGoOHwYSk9POefPoWlTWLuqhRuyHl+6YeGGHvpaCzfa+raVYU+EPrFww17J+ohWI17M83sFyIk1tP1bG+r5NR9k6isjI2MAJCKzc/JAFjb/EofyIhVsbIAOQ0LR/ZZmsLNX1nm+rrISKc88g/K9+6Bwc5OrfR0jI2HNCzeqhnXrWrjRwrNFdeDrGtAVrvauJrteMpHsWMMCj4R1hrazDzB4BtDpQc7zsxIMgERkNsqKVNiyJA4n92fJtlegMwY/2AqBzS6+NZhepULqxEko3bETNs7OCF0wH05t2sDaFFYW4tN9n2L16dUoVZfWelugS2D1wg0R+rhww8rn+W36wDDPT68FFHZAjyeB/i8ATp6mvjpqQAyARGQeq0/3ZmLrkng59GujsEHnYWHodlNTKO0uXjhYr9Eg9cVpKNm0CTYODgidOxfOnTrB2mxJ2YI3dryB7PLs6oUb3QO7Vwe+MLcwLtywVhoVUFkEVBQC8euATe8DFQWGt0XdBAx7G/BpbuqrJBNgACQikxKLOzb9HIvTh3Nk2yfEFUPGtYJf2KULNut1OqRPn47i1asBOzs0+eJzuPTsAWtSrCrGR3s+wp8Jf8p2hHsEZvScIYd1lYq6h8vJAgOcCG/Vj4La7apwd7GHunYZH8m/DTDiPaDZQFN8RmQmGACJyGS9fid2ZmD7b/GoLNNAobRB15ER6Dw8HEpbxWXfN+ONN1H413JRaR5NPv0Erv36wZpsT92O13e8jsyyTNjABmNbj8WznZ6Foy33ODYr6orzQtp5Ae6Cx3mBTmPY6ea6ObgDrgFAr6eBzg8C/APB6jEAElGDE4WcNy0+gaTjhppz/uFucq6f6P27HBH+Mt9/HwX/+x/ECpHgjz6E29ChsBZift/MPTOxLH6ZbIu6fG/3eVuWbqEGUpBk2CWj/HJhrhDQGsoXXTcHD8Dx/Id7HcfqeIjwx8BH52EAJKIGo9fpcWxbGnYsS4C6Uit7+rqPaoqOQ0OhUF66169K9uzPkL/oR/l60DvvwOOmm2AtxKre17e/jrTSNNm+P/p+TOw8Ec52zqa+NOug0wL/fQX8+/ZV9szZnBfWPGuHs8sGODcGOKp3DIBE1CAKs8uwcfEJpMYaJqCLlb2irp9X4JXvHZvz1VfInT9fvh7w2qvwvGM0rKWW3yf7PsHS2KWyHeIaInv9ugV2M/WlWY/M48DyZ4DUfYZ2cGdDzbwr6Y2zFwHuyv7AIWooDIBEZPRev8MbU7Drr5PQqHSwtVeg523N5Y4eCoXNFT9P7nffy94/wf/FF+F9//2wBmI/3le3v4qUkhTZvjvybkzpOgUudlcenOk6F2Fs+wTYMgvQqQ09dmLlbOdxcgoCkaViACQio/b6/ftDDNITCmU7JNJT7uHr4Xd1Q5b5S5Yg68MP5eu+zz4Dn0ceRmNXrinHnP1zsDhmcXUtvzd7v4newb1NfWnWI2Wfodcv67ihHXkjcPMngHuwqa+M6LoxABKRUXr9jm5JxY4/TkJTqYWtgxJ9RjdHm34hssbf1Sj440+54lfwefwx+E6Y0Oi/YgeyDshevzNFZ2T7jpZ3YGrXqdyxo6GoyoCN7wK75opvZsDZFxj5EdBmNHv9qNFgACSiel/hu2FRDFJOGDaVD27pKev6ufs6XfVzFf3zj6z1J3g98AD8pkxp1AWNKzQV+OLAF1h0fJHcr9ff2R9v9HoD/ZpYV4kbk0rcDKx4Dsg/bWi3vwcY/j7g4mPqKyOqVwyARFQvRHmWmB3p2PZrPNQVWtjaKdDz9uZoP7DJVff6CcUbNiD1hRcBnQ6ed92JgFdebtTh73D2YczYPgOnCk/J9i3Nb8G07tPgbu9u6kuzDqKky7pXgf2LDG33EODm2UDkMFNfGZFRMAASUb3s5iFW+J45mivbgc3cMWRca3gGXFt5kpJt2+X+vtBo4D5qFALfeAM2jXQVpUqrwtyDc/Hdse+g0+vkPr2v93odA0O5S0ODObEKWDkFKE43tLs+Cgx9w7Cyl6iRYgAkouvq9YvbnYmtS+Pkbh6yrt8toq5f2FWt8K2pdPdupDzzDPRqNdyGDUPw++/BRtk4tzU7lnsMM7bNQEJBgmyPbDoSr/R4Re7lSw2gJBv450Xg2O+Gtndz4JbPgYg+vP3U6DEAEtE1KStSYdNPJ3DqUE71bh6i1887+NrLk5QfPIiU8U9BX1EBlwH9ETJrJmxsG9+PKbVWjfmH5+ObI99Aq9fC29Ebr/Z8FUPDrWdHE5PS64HD/wNWTwPK8wEbJdD7WWDgS4Dd1c9VJbJEje8nKxEZXfzeTGz5JQ4VpWq5h2+3mwx7+F7pbh51KT92DEmPPwFdWRmce/VEkzlzYGNvj8bmRN4JTN82HXH5cbI9PGK47PUTIZAaQEEy8PdkIGGdoR3QDrj1cyC4E28/WRUGQCK6YuUlKhn8EvZlybZPE1cMfagVfJu4XdddrIyPR/Kjj0FXXAynzp0R+uWXUDg4NKqvjFqnxsIjCzH/0Hxo9Bp4Onhies/pGBExwtSXZh10OmDvQmD9G4CqBFDaAwOmAX0mAko7U18dUYNjACSiK5J4MFsO+ZYXq+Wq3i4jwtF1ZISc93c9VKdP48zDj0BbUADHtm0ROv8rKJwb19628fnxstcvJi9GtoeEDcGMnjPkgg9qADnxwPLngKQdhnZoD+CWLwC/SN5+sloMgER0SWKYd9v/4hH7X4ZsewW5yF4///DrXyGpSkk1hL+cHDhERSHsm6+hdLu+3kRzotFp8P2x7+UqX9EDKEq6iOFesdijMZe0MRtaDbBjDrDpA0BbCYjt88Tq3m6PcW9esnoMgER0UaKsy8YfY1BaqJLbnnYaFoZuNzeFrd31r8pVZ2Yi6eGHoUlPh32zZgj7diGUnp6N5quRWJAoe/2O5h6V7QFNBsjyLn7Ofqa+NOuQftiwjVv6IUO7+WBDXT+vcFNfGZFZYAAkoguoyjXY9ls8YrYb6qKJen5iN4/AZvVTnkSTk4Okhx6GOjkZdqGhCPvuW9j6NI6dFrQ6rdzJQ+zoodKp4GbnJgs6i8LO7PVrAOoKYMtHwLbZgF4LOHoCI94HOtzHbdyIamAAJKJakk/kya3cSvIqARugw6BQ9LitGezs66cWn5jrl/TIo1CdOgXboCCEffcd7AICGsVX4XThabmbx6FsQ69Tn5A+ciu3QJdAU1+adUjaBfz1DJAbb2i3vhW4cSbg1ji+v4jqEwMgEUmqCg12/nESRzenyra7r6Ps9Qtu6VVvd0hbXIykxx5HZVwclH6+CP/uW9g3CbH4r4DYweOnmJ/w2f7PUKmthIudC17s9iJub3E7e/0aQmUx8O9bwO6vRZE/wDUAGDkLaH1Lg3x4IkvEAEhESIsvwL8/HEdRToW8G237h6DX6Oawd6y/HxG60lIkP/EkKo4ehdLLC+HffQf7iAiLv/vJRcmy129/1n7Z7hHUA2/1fgvBrsGmvjTrkLAeWDEJKEw2tDs+AAx/B3Cqvz9ciBojBkAiK6ZRabHrr0Qc2pBs6DjxcsDgB1shtFX9FiXWVVQg+elnUH7gABTu7ghb+A0cWrSApff6LY1dik/3fYpyTTmcbJ0wtetU3BV5F3v9GkJZHrDmFeDQL4a2Zxgw6jPDYg8iuiwGQCIrlZFYiH9/iEFBZplst+oThD53toSDU/3+WFClpCDjtddRtmuXrO8XtmA+HFu3hiVLLUnFa9tfw+6M3bLdLbCb7PVr4tbE1JdmHdu4Hf8LWDUVKM2GnKjaYzwweAbg4GrqqyOyGAyARFZGq9Zh99+JOLA2Sf4udfGwx8AHohHRrn6LEqszMpDz1Vco+G0ZoNHAxtERTb6aB6eOHWGp9Ho9fov/DbP2zEKZpkz2+k3qPAn3Rt8Lhc31FcSmK1CcAax8Hjjxt6HtGwXc+gUQ2p23j+gqMQASWZGsM0Wy1y8vrVS2I3sEoN/dkXB0qb+tsESJl5wFC1CwZCn0KpU8FtfSGd/2U6Hg1AvwTPOU26B5OXoZHg5e1e3zj4uAZS6lUzJKM2Sv3870nbLdyb8T3unzDsLcw0x9aY2f+EvlwGJgzXSgshBQ2AJ9pwD9pwK2jWvLQKKGwgBIZAW0Gh32/nMa+/45A71ODyc3OwwcE41mHeuvKLEmPx95336LvMU/QV9eLo/ZdmqPT7tkYqtfruGkijzkVeRd8XPaK+zh6ehpCImOnvB28K7VrvmyKkDaiz1e67nX78+EP/HRno9Qoi6Bg9IBz3V6DmNajYFSUT+lcegS8k4BKyYCpzYb2kEdgVu/BALb8rYRXQcGQKJGLielRK7wzUkuke3mnf0x4P5IOLna11tpl7zvvkfeDz/Ilb6CY/v2cJ7wKMYXzEVCYS7C3MIwZ/AcaPVaFFQUIK8yT77Mr8y/4GV+heEhiiiLR1ZZlnxcKVGCRfYkng2FNXsWax6vCo5ie7aLBbnM0ky8ufNNbE3dKtvt/drLXr+mHk3r5d7RJei0wH/zgQ1vA+oywNYRGPQK0PNpQMlfXUTXi/+LiBopnVaH/WuSsGflKei0ejnM2/++SLTsWj9FcUXYE719ud9+C11hoTzmEB0Nv4nPQdGnO55Y9wQSCk/C39kfC4YtQIhryFX1uomVtQWV58Kh6DmU7Yp8+bLqdfmozEdhZaEMmKXqUvkQCzWuhA1s4OHgIcOht6N3dVgUw89/nfwLxapi2Cns8EynZzCu9Tj2+jWErBhDQefUvYZ2eF/gljmAT/MG+fBE1oABkKgRyksvxb/fH0fWmWLZbtrBFwPuj4KLh0O9lHTJX7IEuQu+hjbPMJxr37w5/J59Fm7DboBar8HT/z6NwzmHZbBacMPVhT9BzPtztnOWjyutpyfKsoiwVjMY1gyQ1UGyRu+jOF8PfXWgPF10+oLnbePTBu/2fRfNPRk+jE6jArZ9CmyZCejUgL0bMOwtoPNDgIKLbIjqEwMgUSOi0+lxaH0y/lueKOf92TvZov89LRHZI/C6F1OIBR35v/2G3K/mQ5NlGJK1CwuD3zNPw/2mm2CjVMp9cF/a+hJ2pe+SPWjzhsxrsOAkVuGKwCke4e7hV/Q+ap1a9hzWHH6uDpCV+Yhwj8CdkXfCViw6IONK3Qf89SyQdczQbjkcuPlTwMPyd4ohMkf8qUbUSIh6fmIP3/SThuHYsDY+GPRAtCzufD30Gg0K//oLOV/OhTotTR6zDQ6C34QJ8Lj1VtjY2VUP27616y2sO7NODpmKOX/t/NrBnInr9HXylQ8y0ere8nxg2yfAzi8BvQ5w9gFu/Ahoe4foCuaXhchIGACJLJxY1Xtkcwp2/n4SGrUOdo5K9L2rJVr1DrquXj+9VouiVf8g54svoDpzRh4T+/f6jh8Pz7vugsK+9iKST/d/it/jf5c9cR/1/wg9g3pe9+dGjWAhR0kmUJBs2KpNPOTrKedeVxmmKUjt7gJGfAC4MJATGRsDIJEFK8opl71+qXEFst0k2guDxkbD3cfpmp9T9OQVr1uHnM8/R2V8gjwm9u71efxxeN13LxROFz73wiML8d3R7+Trb/R6A0PDh17zxycLoi6vHeZqvZ4MFKUCOs3ln8e7GTD8PSDqxoa4aiJiACSyTCKkHduahh3LEqCu1MLWXoHeo1ugbf8Q2Chsrvk5SzZvRvacOag8HiOPiX17fR55BF4PPAClq0ud7/db3G+YvX+2fF3shXt7y9uv4zMjsxueLUg623uXUrsnT7TlVmyXYaME3EMAjyaAZ6jhpUfo2dfPtu3r/t4iIuNhDyCRhSnOq8DGxSeQfNywAjeohQeGjGsFDz/naw5+ZTt3IvuzOSg/dEgeE3v2ej80Dt4PPQSlu/tF33fN6TV4a+db8vXH2j2GcW3GXdM1kAloNUBx2oXBrronLwVQG+o6XpKdS+0wV/362bZbEOv2EZkhBkAiC5J4MFtu5aYq10Bpp0DPW5uhw+DQa+71K9u3D9mzP0PZnj2yLfbr9RpzP3weewy2Xl6XfN8dqTvkil9RRuWuyLvk7hhkRlSlF597J14WpYmJnpd/Hhf/C4NdzZ48Jy8u1iCyQAyARBZS1FmUdhGFnQX/CHcMfagVvAKvbeis/MgR2eNXum2bbIuVvJ733gvfJx6Hrd/lt4c7mHUQkzZNgkanwfCI4ZjeY7rZ7NlrlSoKgZMbgfh1QMZhQ8gTw7eXo7AzlFmpFeyqevLCDEO3do4N8RkQUQNjACQyc2VFKqz95mj1Qo8OQ0LRa3RzKJVXXxi3IjYW2XM+R8m//xoO2NrCc/Ro+D41HnZBQVf0HPH58bLQs9ipo09wH7zf933ujmGK+XnZJ4D4tUDcWiB5V92LLRw8avfWnd+T5xrAAstEVooBkMiMpScUYPXXR1FWqIKdgxKDH2yFFl38r/p5KhMTZTkXUdZFUijgMWoUfJ+eAPuwsCt+nuTiZDy57kkUqYrQwa8DPhn4CeyUhjqAZGSqMuDUFkPoEz19hYbe4Gq+kUDLYUB4H8Ar3BD2HD34ZTGC9MJynMwqRTM/FwR5OLL3mywSAyCRGRILMw5vSJGrfMXuHl6BzrhxfLurHvJVJScj54svUbhihdgmRB5zu3EE/J55Bg7Nr26HjuyybDyx9glkl2ejpVdLfDnkS7lVGxlRXqIh7InQd2oroK089zalA9C0vyH0tbwB8G7KL4URlau0WH0sHcv2pWL7yRzZCSu4O9oiOtAdUYFu8tEqyA2RAW5wc+QfRmTeGACJzIyqQoMNi07g5H7Ddmstu/pj4APRsHe88v+u6vR05Mz7CgW//w5oDEODrkOGwO/ZZ+AYHX3V1yS2S3ty/ZNIKUlBE9cmmD90vtxyjeqZphI4s+Nc6MuNr/12jzAgUgS+YUBEP8CeAdyYxB9fe07nYdn+FKw6koGSynPD7GHezkgrKEdRhQa7T+fJR01NvJwQfTYUioAoXm/q6wLba5i6QWQMDIBEZiQvrRT/zD8it3VTKGzQ564WaDewyRUPMamzspC74GsULF0KvVotj7n06we/556FU7tr25atTF0m5/yJuX9+Tn5YMGwB/Jwvv1CErpBYjVs1rJu4CVCVnHub2IM4rNfZXr5hgF8UV9w2gKTcMhn6fj+QguS88lqhb3TnENzRuQlCvZ2h0uhwMrsEsRnFOCEfRfL19MIKpOSXy8f6GMMfcoK9rQIt/FxlGIwOEuHQHa0C3eDn5sBhZGpwNnox1kTXpKioCB4eHigsLIT7JWqlEV2JuD0Z2Lg4FppKLVw8HTDiibYIbHZlvWya/HzkfvMN8n/6GfqKCnnMuVs3+E2aCOcuXa75C6DWqvHshmexPW073Ozd8P2I7xHpFckv6PXW30vdC8StMYS+zCMXll0RYU/09DUbyHl8DaS4Qo1/jmTgt30ptXrzXB1scVO7INzRpQm6RXhdUVArLFMbwmBmMWLSixF7NhiWquouu+PlbFerp7BqONnZnn00xlLE398MgPwGIlPTanTYviwBRzamyHZIlBeGPdoGzu72l3/foiLkff898r7/AbqyMnnMqUMHQ/Dr2fO6ehW0Oi2mbZ0miz072TphwQ0L0NG/4zU/n1UrzQES/gXi1xheVhhWdBvYAE26nuvlC2zPlbkNRKvTY8fJHCzbl4LVxzJQoTbMkxX/bfq28JU9fcPbBMLJXlkvw8mpBeWISTeEwROZxTiRXoRTOaXQ1dENI65B9DgaAqGhp1CEwnAfFyivse4nnVPEAMgAeD34DUTXqyS/AqsXHEXmqSLZ7jIiHN1vaSaHfy9FW1KK/MU/Ivfb76ArMryvQ+tW8HvuObgOGHDdw0liYODtXW/j17hfYauwxZeDv0TvkN7X9ZxWRSy4yThk6OETPX2p+8RdPfd2R0+gxVBD4BMvXXxMebVWJyGrRA7x/nkgVQ7XVmnu5yJ7+m7vFIIgj2vfT/tqVKi18nrEELLoKTQMJRcju7jGgp8aHO0UcpFJVIAYRj7XY+jr6tAg19tYFDEAcg4gkakkn8jD2m+OoaJEDXsnWwx9uDWatve95PvotVrk/fgjcucvgDbfUOjXvkVzGfzchg6FjaJ+Jph/fuBzGf5sYIMP+n3A8HdVxZjPzucrPTf3Swpsd66XL6Qrt0drYGJYdvnhNNnbdzD5XA+sh5MdRnUIkr19HUM9G3wunqOdEm1DPOSjptySygvmFoohZdFLeTilUD5qEgHw3KITw3ByywBX+fxEdeEcwOvAvyDoWuh1euxbcwa7lyfKUhK+oa4Y8UQ7ePhdusdBnZmJtKkvVG/bZhceBr9nnoX7yBtho6y/H/I/HPsBs/bOkq+/3ut13Bl5Z709t1UVY7Z3NczhqyrT4h5syqu1ShqtDpvjsmVv3/rjWVBpDUO8Ygh1YKSf7O0b0sofDrZKixmyTsorkz2FhrmFhnB4Jq+suixNTWIgIcLXpToQirqFthf5I7Gu3HuxKHyxkHzx86/smOE5LnyD+BzECur6VMQeQAZAfgNRQ6ooVePf74/j9JFc2W7VOwj9742E7WXmGBVv2oT0l16GtqAACmdn+E+bBs87RsPGtn4nif8R/wde2/GafH1S50l4tN2j9fr8jb4Ys09LIHK4IfCJ1bu2HJYzBTHPTvT0/XkwFTklqurjIgjd2aUJbu0YIlfeNhZlKg3iMkvODSGnG4JhfpmhEoClmzS0JSYNrd/FZ0UMgBwCJmoo2UnFWL3gCIpyKqC0VaD/fZFo3efSvUJ6lQpZH3+CvB9+kG3H1q0R8snHsI+IqPfrW39mPd7Y+YZ8/eE2DzP8XXEx5n5ASxH6hgLezer960JXJqekEn8dNAzxHk83zIsVfFzsZeC7o0sI2gQ3ztqVYrWwGL4Wj5rzeMU8QsPcwmLEZBQhuY6ewrrKgNRVHKTu8+o4drGLvI7n9HfjftTGwDXmRA0gZkcaNv8SB61aB3dfRznk6xfmdsn3UZ05g9Qpz6Pi2DHZ9h73IPyefx4K+8uvDr5au9J34cUtL0Kn12F0y9GY3GUyrFZ5gaEYs+jpS1hfRzHm0LNlWoazGLOJVWq02HgiC7/tS8Wm2Cxozi6ntVPaYEh0gBziHRjlBzsrLL4shmn93R3lo38k63aSBQfAuXPnYubMmUhPT0ebNm0we/Zs9OvX76Lnb968GVOmTMGxY8cQHByMF198EePHj69++9dff41Fixbh6NGjst2lSxe899576N69e4N8PmQdNGotti6Jw/Ht6bId3s4HQx9qDUeXS28TVbjib2S8/ros7aL09ETQe+/BbfAgo1zjkewjeG7Dc1Dr1Lgh/Aa81vM16ypKqyoFknYaAp/o4Us/KCZq1lGM+QZDTx+LMZt+m8SUQjmvb/mhNBTUGObs0MRDhr5R7YPh5VL/fygRNSYWEQCXLl2KSZMmyRDYp08fzJ8/HzfeeCOOHz+OsDo2sj916hRGjhyJxx9/HIsXL8b27dsxYcIE+Pn54Y477pDnbNq0Cffddx969+4NR0dHfPTRRxg2bJgMjCEhISb4LKmxKcoplyVexNCvyFOivEuX4eGwuUSJFxH4Mt59F4XLfpdt565dETxrJuwCA41yjScLTuKpf59CuaYcPYN6yhW/SoVlTIi/ru3WUvacDXxbgJS9gO68uVI+LQz77DYdADQfxGLMZiCzqAJ/HEiVQ7zxWed2Swlwd8DtnZrgjs4haBlw6V51IrKwVcA9evRA586dMW/evOpjrVq1wm233Yb333//gvOnTZuG5cuXIyYmpvqY6P07dOgQdu7cWefH0Gq18PLywhdffIEHH3zwiq6Lk0jpYk4fycH6746jskwDR1c7Wdg5tJX3JW9YRWwsUidPgSoxURYC9n3qKfhOeKpeV/jWlFqSigdXPYis8iy0922Pr4d9DWc758a580baAeDUZkPgS/4P0Jyr/VY9rCsDX3/DsK4H/wg0B6JG3ppjGVi2PxXb4rOrCyY72CpkgWbR2ycKNrMwMl2tIi4CMf8eQJVKhX379uGll16qdVz01u3YsaPO9xEhT7y9puHDh2PhwoVQq9Wws7tw+K2srEy+zdv74r+kKysr5aPmNxDRBZvH/30Ke1edlu2Apu4Y/nhbuHlffBKz+BusYMkSZL7/gVz0Yevvj+CZM+HSw3jTEXLKc/DE2idk+Gvu0RxfDvmy8YQ/UYRZbK9W1cN3ZiegKr5wu7WqwCceXhHcY9dMiP8P+87kyy3ZVh5OR3HludI6XcO95Creke2D4O546WkURGThATAnJ0f2zgUEBNQ6LtoZGRl1vo84Xtf5Go1GPl9QUNAF7yMCphj6HTp06EWvRfQ2vvnmm9f8uVDjVl6swtqFx5BywlCgud2gJuhzRwu54vditIWFSH/1NRSvXSvbYhePoA/eh62Xl9Gus0hVhPHrxiOpOAkhriGYf8N8eIqdKSy6Hl+sIeydFo9tQLnha1BNfH5itW7E2cDHeXxmJyW/DL/vT8Xv+1NwOtewraEQ4ukkh3dHd24i68ERkZUEwCrnT0oXfyVeaqJ6XefXdVwQ8/9++eUXOS9QzAe8mJdfflkuLKnZAxgaGnpVnwc1ThmJhVjz9VGU5FfC1l6BQWOjEdnt0vP2yg4cQNrzU6FOSwPs7OD//BR4jxtn1AUYYq7fs/8+i9j8WPg4+sj9fQNcav+xZPbE/+X80+d6+MTj/F03RBHm8N7nevgC2nF/XTMlVu9+tfkkdiXmVR9ztlfixrZBsrevR1Pvy26NSESNMAD6+vpCqVRe0NuXlZV1QS9flcDAwDrPt7W1hY9P7T03Z82aJVf/rl+/Hu3bt7/ktTg4OMgHUc0/LI5uTsW2X+Oh0+rhGeCMEU+2hU+w60Vvkl6nQ+43C5H92Wdi8inswsIQ8vHHcGrX1qg3VqzyfX7T89iftR9udm6y5y/M/cJFVGapMBU4vfXcSt3zCzDbOgKhPc4t3AjuCCg5RGjuu1p8vDYWczedlG3xd0+vZj5yS7YRbQPh4mD2v56ILJrZ/w+zt7eXJVrWrVuH22+/vfq4aN966611vk+vXr2wYsWKWsfWrl2Lrl271pr/J8rKvPPOO1izZo18G9HVUFdqsXHxCcTvyZTt5p39MPjBVrB3vPh/K012NtKmTUPpDsNiJPebbkLgm29A6XrxwFgfRH2/GdtmYGvqVjgqHfHFkC8Q5R0Fs1WSbQh8VaEvN6H220Vplibdzi3aEK/bsVispRD73E5cchDbEnJke2zPcIwf2FwO9xJRwzD7ACiIYdexY8fKkCbC3YIFC5CUlFRd108Mzaampsq6foI4LlbzivcTpWDEohCxAEQM89Yc9n311Vfx888/IyIiorrH0NXVVT6ILiU/o1SWeMlLK5XDU73vaIH2g5tccvi2ZNt2Gf60ubmwcXRE4Ksz4DF6tNFr7oleyvf/ex+rTq2CrY0tPhn4CToHdIbZFl8WjyxD8etqNgogqMO5Id3QnoAD/59aooPJBZiweB/SCivgZKfEh3e2xy0duE8yUUOziAB4zz33IDc3F2+99ZYsBN22bVusWrUK4eHh8u3imAiEVZo2bSrfPnnyZHz55ZeyEPScOXOqawAKoqagWGF85521N7p//fXX8cYbhu2wiOqSsC8LGxbFyB5AZw97uco3uMXFF1Ho1Wpkz/kcuV9/LdsOkZEI+fQTODRv3iA3+MuDX2JJ7BK5yfq7fd9FvyYXL6BumuLLW4D0Q7WLLwv+bc4FPjGfz8mCF6qQ/EPkl93JeGP5Mai0OjT1dcH8sV0Qydp9RCZhEXUAzRXrCFkXrVaHnX+cxKH1ybIdEumJGx5tAxePi88LVaWkIu3551F+6JBse953LwKmTYPiEouN6tOPx3/ER3s+kq/P6DED90TfA5MVX07efXal7taLF18Ww7lVw7qu3L6qMdXze/XPo/h1X4psD2sdgFl3d2ApFzKZItYBtIweQCJTKy2oxJpvjiI9oVC2Ow8PQ49bmkFxiT1Gi9asRfqMGdAVF0Ph5oagd96B+/Da9SmNafnJ5dXh79lOz5ou/B37A1j1AlCaXfs4iy9bheS8MoxfvA/H0oogFvO+MDwa4wc0s67tBonMEAMg0WWkxuVjzTfHUF6kgr2jEkMeao1mHS/eO6WrqEDmBx+gYMlS2Xbq0AHBH38M+yYNt7vEhqQNeG37a/L1sa3H4vF2j8MkCzlWPQ8c/8vQdvEzrNBl8WWrsTE2C5OWHERhuRreLvb4/L5O6NPC19SXRUQMgEQXJ2ZHHFiXhF1/JkKv08MnxBUjnmgrS71cTOXJk3I7t8q4ONn2efxx+D33LGzq2H3GWPZk7MELm1+AVq/FLc1vwdSuUxu2t0XMKpG9flOBslzDit1+zwP9pgK29g13HWTSHXE+35CA2f/GyW+HDqGemDemM4K5ypfIbLAHkKgOleUa/Pv9cZw6ZChTEdUzEAPuj4KdvfKiYbHw99+R8c670JeXQ+njg+APP4Rr3z4Nen+P5R7DsxuehUqnwqDQQXiz95tQiBW0DaUkC1j5PBCz3NAOaAvcNtewgpesQmGZGpOWHsDGWMOQ/5geYXhtVGs42BpnT2siujYMgETnyUkpwer5R1CYXQ6FrQ363xOJ1n2DL9qLpi0pQcbrb6Bo5UrZdundG8EffgBbv4ZdxJBYmIin1j2FUnUpugd2x8wBM2Eret8agujmObrMMNevPO9sr99UQ88fe/2sxrG0Qjy1eD+S8srgYKvAO7e1xV1duVsSkTliACSqIXZXOjb9FAuNWgc3b0e5q4d/uPtF71H5kaNIff55qEUZIqUSfhMnwuexR2GjaMBeN1EKqSQdT6x9AvmV+Wjj0wZzBs+Bg9KhAXv9pgAxZ4uvi23XZK/fpXfWocZl2b4UvPLHEVRqdAj1dsK8MV3QNsTD1JdFRBfBAEgkevHUOmz9NR7HtqTK+xHWxhs3PNwGjq52Fx3yzfvhB2R9/AmgVsMuOBjBH8+Cc6dODX4/c8tz8cS6J5BZlommHk0xb+g8uNi5NGCv31SgPN/Q69f/BaDvFPb6WZFKjRZv/30ci3cZarEOjPLD7Hs6wtOZ8z2JzBkDIFm9otxyrFlwFFlnigEboPvNTdH1xgjYXGQDek1eHtJffgUlmzfLttsNNyDonbeh9Gj43o4SVQmeWv8UThedRpBLEBbcsABejl7G/8DFmYZevxN/G9rs9bNK6YXlcshX7O4hZkhMHNISzw1uKXfHISLzxgBIVu3MsVys+/YYKks1cHCxxbBH2iCsjc9Fzy/9bzfSXngBmqws2NjbI+Dll+B5770mqWlWoamQCz5i8mLg7egtw1+gS6Dxe/2O/Ab880KNXr8XgX5TAGXDrXQm09uRkINnfzmA3FIV3B1t8dm9nTAo2t/Ul0VEV4gBkKxSebEKO/88iZjt6bLtH+6G4U+0hbtP3ZvR6zUa5Mydh5x582QIsm/WTG7n5hgVBVNQ69Sy1MvezL1yuFcM+0Z4RDRsr19ge8Ncv8B2xv24ZFbE9If5WxLx0eoT0OmB1kHu+OqBLgjzuXh5JCIyPwyAZHX1yY5vTcWuvxJRWaaRx9oOCEHfO1tCaVf3wg11RgbSpr6Asr17ZdvjjtEInD4dCmfT/MLT6XV4ffvr2JSySS70+Hzw52jt09rIvX6/Glb4VhQACjtgwItA38ns9bMyxRVqTP31ENYcy5TtOzo3wbu3t4WjHUu8EFkaBkCyGhmJhdiyJA7ZScWy7Rvqiv73RiGo+cXn7hVv2Ij0l1+GtrBQBr7AN9+Ex6ibYSoqrQoz98zEisQVUNooMWvALHQL7Ga8D1icAfw9GYhdZWiLen63il6/tsb7mGSW4jKLMf7HfUjMKYW9UoHXb2mN+7uHcUs3IgvFAEjWMdz7x0nE7DAM99o72aLnrc3Qpn/IRSer61QqZM2ahfxFP8q2Y+vWcsjXPjwcplBQUYClsUvxy4lfkFuRK4+93edtDAwdaLxev8P/A/558Vyv38BpQJ9J7PWzQisOpWHassMoU2kR5OGIeQ90QcdQT1NfFhFdBwZAatTDvaKsy3/Lzw33RvcOQq/bmsPZ/eIlKlSnTyN1yvOoOH5ctr3HjYPf81OgsG/4shZnis7gx+M/4q+Ev1ChrZDH/J39ManzJIxqPsp4vX4rJgFx/5zr9bttHhDQxjgfj8yWWqvDB/+cwMJtp2S7d3MfuZ+vj2sD1ZgkIqNhAKRGO9y7+ZdY5CSXVA/3DrgvCoHNLl2qpXDFCrmrh66sDEpPTwS9/x7cBg1CQ0+y35+1Hz8c+wGbkjdBD708Hu0djQdbP4gRESNgZ4wVt7LXb+nZXr/Cs71+LwF9JrLXzwplFVfgmZ8OYPfpPNl+amBzPH9DJGyVDVvknIiMgwGQGpWyIsPq3hNnh3sdnG3R45ZLD/cKutJSuY9v4R9/yLZzt24InjUTdgEBDXbtGp0G68+sl8HvaO7R6uP9QvphXJtxcns3o5WbKUoH/ha9fqsN7aCOZ3v9jLi4hMzWntN5ePqn/cgqroSrgy1m3dUBI9oaucQQETUoBkBqFHRaHY5uScPuFeeGe1v1MQz3Orldeui24sQJpE6eAtWpU4BCAd8JE+D71HjYKBtmZaPYu3dZ3DL8FPMT0krT5DF7hb0c4hU9fs08mxnvg4tev0NLgNXTDL1+SntDr19v0evHHw/WRvQ+f7/jNN5dGQONTo/IAFdZ4qWZn6upL42I6hl/wpPFS08owOYlcchNMQz3+oW5of+9kZcd7hW/7PJ//hlZH34EvUoFW39/2evn0r17g1x3RmmGDH2/xf2GErXh2r0cvHBv9L24J+oe+DhdvCB1vShKM8z1i19jaAd3MqzwZa+fVSpTafDSsiNYfsjwR8ioDsH4YHQ7uDjw1wRRY8T/2WTZw72/J+DErozq4V6xurd1v0sP9wqVp07JuX5lu3fLtuvAgXK+n62X8bdRO557XA7zrj29Fhq9obcywj0CD7Z5EKOajYKjraNxL0D0+h38GVj9MlBZ1ev3MtD7Ofb6WanE7BK5pVtsZjFsFTaYflMrPNQ7giVeiBoxBkCy0OFesbr3FFTlhgDVuk8Qet7eHE6ulx7uFT19uQsXImfeV/J1G0dH+E+ZDK+xY436y04Ub96ashU/HP8BezL2VB8XNfzGtR6Hfk36QWHTAJPrZa/fRCB+raEd3Nkw188/2vgf20KInuENJ7Lw6fo45JWo0DncC90ivOUjKtANyka2z+3aYxl4/n+HUFypgZ+bA+aO6Sw/VyJq3BgAyaKkJRRgyy9xyE2tMdx7XyQCm156uFco238A6a+9ClXCSdl26dsXgW+8DvsmTYy6X68o2ixKuZwqNJTSEAWch0cMlz1+bXwaqLRKXb1+g14Bej3LXr8ajqcV4d1Vx7E9wVBrUUg7nI6/DxsWFbk52qJLjUDYvomHxe6CodXp8fHaWMzdZPj/0C3CC1/e3xn+7kbugSYis8AASBYz3Lvj9wTE1hzuva05WvcNvuxwr7a4GFmffIKCX5bIttLbGwEvvwz3m28yWq9fbnmuLNwsHnkVhjIarnauuDPyToxpNQaBLg24orIw1dDrl7DO0A7pYpjrx16/allFFfh4bRz+ty9ZZmWx08XDfSPQv6Uf9p/Jl6VQxMviCg02xWbLhyDOEyGwa4Q3ujf1Qpcwb3g4G6FETz3LLanExCUHsS0hR7Yf7dsUL90YDTuWeCGyGjZ6Md5B16SoqAgeHh4oLCyEu7s776KRhnuPbE7F7uWJUFVoARsx3BuMnrc1u/xwr16P4nXrkPn2O9BkG35he4weDf8Xphptrl9iYSIWHVuEFSdXQKVTyWNBLkF4oNUDGN1yNFztG3A1pfivfWAxsOYVoLIIUDoAg6cDPZ9mr99Z5Sotvt6aiK82n5S7XAg3tw/CtBHRCPWuvdezRqvDiYxiWSJFPHafykdOSWWtc8TfE1EBbugaca6XMNjTCebkYHIBJizeh7TCCjjZKfHhne1xS4dgU18WUYMq4u9vBkB+A5mvtPgCuXdv1XCvf7hY3RuFgKaXD9vqjAxkvP0OSv79V7bFFm5iH1+Xnj3q/TpF0BTz+sT8vi0pW6qPt/VpK+v3DQ0fCltFA3e2F6ac7fVbb2iHdAVumwv4RTXsdZjxLjF/HkzFR6tjkVFk2GFFbG326s2t0CXc+4q/7mdyy6oD4d7T+XKf3POFeDrJ4VVDL6E3Wvi5XrbX2hjE9f6yOxlvLD8GlVaHZr4u+GpsF0QGuDX4tRCZWhEDIAMgv4HMT2lhJXb+fhKx/50d7nWxlfX8WvW5/HCvXqtF/s+/IPvTT+VuHrC1hc/jj8F3/HgoHOp3+yq1To01p9fIHr+YvBh5zAY2cn9eEfw6+3du+FWUstfvR2DN9Nq9fr2eARSWOVetvv2XmIt3VsbgSGphdUCbdmM0RrUPuu6vV3ZxJfadMfQO7j2Th2NpRXKuXU2eznboGm4IhKKHsF2IB+xtjbsAqEKtxat/HsWv+1Jke3ibAFnc2c3R/IeriYyhiAGQAZDfQGY23LspVRZzrh7u7RuMXrc2h6Pr5X9RVcTGIv3V11Bx+LBsO3XsiMC33oRjZGS9XmexqljW7hM1/DLLMuUxR6Ujbm1xqxzqjfCIgEkUJAMrngNObjC0m3QzzPXzq9/P31KdzinF+//EYM0xw9dM7HDx9KAWeLhPhNEWcpRWanAgqUDOIdx7Ok++Xq42DDVXcbBVyN5HOWTc1BudwzzrNZgl55Vh/OJ9MoyKv59eHBGNJ/s3Y4kXsmpFDIAMgPwGMg9p8flnh3tLzw333heFgIjLD/fqKiqQ8+Vc5H73HaDRQOHqCv/np8Dznntgo6i/npXUklQsPr4Yv8f/jjJNmTzm4+iD+6Lvw91Rd8PL0fg1BC/a67d/kaHXT1UMiDqCg2cAPSew10+MhpepMWdDPBbtPA21Vi9D0H3dwzD5hkj4utZvr/DlqLU6GcT2nDo7bHwmH3mlhrmiVcT1tQpyr55DKIaPr3Vl7sbYLExachCF5Wp4u9jji/s6oXcL33r6bIgsVxEDIAMgv4FMP9y7Y1kC4naf7UlzsUOv25ujVe8g2FzBPKnSHTuQ/sabUCclybbbsGEImD4ddgH+9XaNR7KPyPl9Yp9erd7Qe9PCs4Xcpm1ks5FwEMOspnJBr193w1w/35awdiJsLd51Bp/9G4+CMrU8NiDSTxY5Npd5b2Je3sns0up5hOKRnFd+wXnhPs7oGm5YaSyGjsX8vUsNV4s5jp9vSMDsf+Pk3wcdQj0xb0xns1uQQmQqRQyADID8BjINrRju3ZiC3X+fgvrscG+bfiHoeUuzKxru1eTlIevDD1H413LZtg0IQOBrr8JtyJD6uT6dFptSNsn5ffuz9lcf7xnUU87v6xPcx7RDaLLX7wdgzYwavX6vAj2fsvpePxGq1h3PxAf/nKhelCH2tJ1+U2sZAM1dRmHF2UUledh9Oh8nMorkl7smHxf7WiuN2wS7w/ZsCRfR4zlp6QFsPFuq5oGeYXj15tZwsOUcUKIqRQyADIDXg99A1yY1zjDcm5d2drg3wh0D7ouEf7j7Ff1yL/zrL2R98CG0BQWy7obXmDHwmzQRStfrL7FSrinHXwl/ycLNScWGXkWxgndk05Gyxy/K2wxW0eafMazwTdxoaIf2MMz1820Ba3c0tRDvrDyOXYmG2ou+rvaYckMU7u7apDogWZqiCjX2ncmXgXDPqXwcTCmASqOrdY6zvRKdwjzROcwLfx1MQ1JemZxb+O7t7XBnF+MVOieyVEUMgAyA/AZqOKUFldi+LAHxe2oM945ujla9rmy4V3XmDNLfeANlO3fJtkNUFILeehNOHTpc97XllOfg55if8b+4/6FQ7JQBwN3eXc7tE3P8/J3rb0j5AjodUJ4PlGaffWQBpTlASVaNY9ln2zmA+mypEdHrN+Q1oMd4q+/1E71ms9bGYtn+FEMhZ1sFHuvbFE8NbN7oVrpWarQ4klKIPafzq3sKiyoMWyJWCfV2wlcPdEGb4MvvkENkjYoYABkA+Q3UMMO9hzekYI8Y7q00DPe27ReCHrc2kyHwcvRqNXK//Q45c+dCX1kJGwcH+D7zNHweegg2dtf3yz0+Px6Lji/CysSVsqyL0MS1Cca2HovbWtwGZ7vaxYCvmKbSENYuF+aq3n52buEVC+8L3DIH8GkOa1am0mD+5kQs2JJYvbr21o7BeGF4FJp4XePXzsKI+X5xWaJAtaGX0MvZHpOHRlrEjiREplLEAMit4Mi4UmPzsXlJHPLTDb1Woohz/3uvbLhXKD94EOmvvY7KuDjZdundC4FvvAH7sLBrvqbM0kysPr0aq06twvHc49XHO/p1lPP7BoUOgvL8mnmiW0nU1asV5i4S7sSjwtCLeFUcPQFXf8DF79xDtn0Bl7PHXc8edzCPRQymDD2it0/0+mUWGXbjEHv0zripFTqFmWg1tomI2pjRge7yMbZnuKkvh4gsBPcCpoYZ7nU9u7r3Cod7tSUlyP50NvJ//lmGL6WXFwJemgb3W265psUXYlhXrOIVoU/s2qGHYVa90kaJwf5dMS6gNzooXYHUE0Dc1vN6686+1Nbe9uuyxO4fNcNczQB3fqBz9gVsL721HRnsOJmDd1fGyHIqVcOdL41ohZHtAlnbjojoCjEAUv0P9/6bgj0rDcO9Iqu16R+CHrdc2XCvULx+vdzGTZNpCI8et90G/2kvXvX+vWJBx+aUzViVuApbU7dCozs3T6qz0h0jS0pwQ9YZeCeeAvDrlT2p2Mv3cr1zsu0LOHkZNoelepGYXYL3/zkhV/gKbg62eHZIC4zrHcEVrkREV4kBkOpNSqxhdW/VcG9gMzHcGwW/sCsbrlRnZiLznXdQvM6wf61deBiC3ngDLr16XfE1iJC3K32XDH3/Jv1bXbBZiFRrMbK4CDeWliFYY1jhK4net7oCXPVwbFXQ8wPsrWNemTnJL1XJWn6ipp9Gp4dSYYMxPcIwcUhL+DRwIWciosaCAZCuW1mRCtuXxSPuP0PPjJObYbg3uueVDffqdTrkL1mC7I8/ga601LB/76OPwvep8VA4Ol5RaZhD2YewMm4Z1p5ZhzzN2VWyYp9XtQYjS0txY0kZWqrVhpWzIT2BsJ5AqHh0M/TUkdkRpU7E7h1z/o2vXuU6ONofr4yMRgt/654DSUR0vRgA6ZqJ4BWzIx07fk9AZalGru5t1z8E3a9iuLciLg4Zr70uF3sIoqRL4FtvwTHqMvvX6vWIP/0vVsUsxT+5B5CqOzc/z1urxfCSMhn8Oth6wCasvyHsidAX2J5z7Szg+0rs1/vBPzE4nWvowY0OdMOMm1qjb0tuY0ZEVB8YAOma5GeUYtNPsUiLL5Bt31BXDBwTfUV791bv3zvvK+QuXGjYv9fFBX7PT4GX2L9Xqay7rEraQaQmrsM/KZuwqiId8XbnCvs663QYWlqGkUpv9AjuBdvOvQ0Fkr2bcR6eBRH17d5eeRy7TxkKOfu5OWDqsEjc2SVUDv0SEVH9YACkq6JV67BvzRnsW30aOo0etvYKdB/VDB0GN4HiCndaKN21C+mvvw71mbP7994wFAEzZsAuIODcSWV5QPJ/QNIu5CVtx9qieKxytseBqiFhOwXs9Hr0gxNG+nTAgBa3wjG8D+Dsza+oBUovLMfM1bH4/UCqbItdLJ7o3wxPDmgOVwf+mCIiqm/8yUpXtYWb6PUryDQMy4W39ZE1/dx9r2yDeU1+PrI+monCP/4wfPP5+yPg1RlwHzoUyEsEDqwHknfJ0FeaG48Nzk5Y5eqCnU6O0HobehZFH1B3p2CMDB+GIW0fhIdYmEEWq7RSFHI+iQVbE1GhNmxvNrpTCKYOj0Kw55V9XxER0dVjAKTLqihVY8eyBDnfT3B2t0ffu1uiRRf/K6q7JuZ0Fa1Ygcz3P4A2P9+wf++oIfAbHgFl9vfArKdknT2xD8c2EfpcnLEpLAQVinM9im08WmBky9sxoukI427LRg1CKwo570vBzLWxyC42zN/sHuGNGTe3QvsmnvwqEBEZGQMgXTK4xe3OxPbf4lFebNgmrU2/YLnC1+EKt5lSJScj49XpKN21R7YdfO0Q1CUHTs6LgK2A6PPZ5+iAlX6+WOfigiIbQ4FmIcI9AiObjsSNTW9EhEcEv1IAcksq8cPOM7I0irO9Ek72SvnS2d727EtxzPC6k12Ntzko4WynhO0VDtMb0/aEHLz993GcyCiW7XAfZ7x8YzSGt2EhZyKihsIASHUqzC7D5p9jkRyTL9vewS5ykUdQ88tsLi+2TMs/BX3iDuT9/D9kr42HXiwQVujh27YYPtElgAI47uaLVf6h+MemHFnaqlp9evg7+ctevpHNRqK1d2vu7HBWhVqL73ecxpcbElBcea6g9dWyVyqqQ2N1eLQ7GxBlaKwZJGsESjslXBzqDpdV59ldJlwmZJXg/VUx+PdElmy7O9riuSEtMbZXOAs5ExE1MAZAumAnj4PrkrBn5Wm54ENpp0DXkRHodEMYlLYX+QWv0wIJ/wIHfwLO7EB5Uj7S93iissDQS+jsX4mgGzyQ3ro3fnW2x6rSUzhdmgbocuXb3ezdMCx8mOzt6xLQ5cJ9eK28F3bF4XR8+M8JpBaUy2NtQ9wxOMofZSotytRalIuXKo1si9dL5ctzbXGOGHIVVFodVOU6FJYbenTr08XCpXhdLODdEp8jr8NWYYMHeobLQs5eLtz+jojIFBgAqVpGYiE2Lj6BvDRDIeUm0V4YcH8UPP0vsvtFaS5w4Edg77dAwRlo1TbIPuKG/DhRq80GShd7OI0bgU19w7EqbSuO5u4BSgzv6qB0wMDQgTL09Q3pC3slg8D59p3Jxzsrj+NAkqHUTqC7I14YHoXbO4VAcRUlUUSIFMHPEBTPhcXqgHj2WLm66nUtyio1dYZL+VKep0FZ5dWHy6GtAvDyyGg093Pl/zwiIhNiACRUlqmx889EHNuaKkZh4ehqh753tURk94ALh2DFEG/KXmDPN8CxPwBtJfQ6oDDNB9lHPaE520tVOKgTfhpqhy2lq6E7YljdqbRRomdwT9zU9CYMDhsMFzsX3v06JOeV4YPVJ7Dy8NlFN/ZKjB/QHI/3ayZ7066W+Bo62Crlw7Oed7K7MFzWDo01w2XrIHd0jWCZHiIic8AAaMXEL++T+7OxdWmc3M5NiO4dhD6jW8gQWIuqDDj6G7D7ayDj8Nn3B4pLo5F9wB6q1BwA5Sj0dcLcG7Q4EHGkurevo19HOadPDPP6OPk0+OdpKUTP2ZcbE/D99tMyVInsfXeXUDw/LBL+7pffEs8UjBkuiYjIeBgArVRRbjm2LInDmSOGeXieAc4YeH8UQqLO2xc3JwHYu9Awv6+iUB7SKxxQ6jgI2duKURF3Sh6rcLHFr911WNNFBZWdDVp4tsBNzW7CiIgRaOLWpOE/QQui1urw839JmL0+DvllhuHTvi18Mf2mVmgVdGU7qxAREV0NBkAro9PqcGhDCnavSIRGpYPC1gZdhoejy4gIueBD0mqAuNXAnq+BxE3n3tkrAmWeNyF73WmU7T1gOObkiHW9nLC4QxG0zo4Y03oMbm52MyK9LrOXL8ke2H9jsvDePzFIzDbMu2zh74rpI1thYJQfV0ATEZHRMABakawzRXKRR06yYWw2uKUnBo6Jglfg2bl4xZnA/kXAvu+AIsOWXHLvjcgRqPC9Edm/70TJJsMuHjb29ii8qRdeaboXWQ7FCHIJxqeDPkUbnzam+vQsytHUQry7MgY7Ew09sD4u9ph0QyTu6xZqFrX6iIiocWMAtAKqCg3+W56IIxtT5Lw9B2db9L6jBVr1CpLzzHB6u2FRR8xyQHe2xpyzD9D5Qaj8hyH7h99RtPIDw3GlEu6jb8Nffe0xL+NXeahHUA981P8jeDtygv/lZBRWYNbaWCzbb/ha2Nsq8EifppgwqDncHa+suDYREdH1YgBs5BIPGhZ5lOQbttsSK3v73NkSzg6VwN5vgD0LgeyYc+/QpDvQ/XGovXsiZ/43KPj9CVEcUL7JfeRI2D/5IF4+8zn+S/9PHnu47cN4rtNzsFXwW+lSxErY+ZsTsWBLolwRK4zqEIwXh0ch1JurJ4iIqGHxt3YjJQKfCH4iAAruvo6ypl+YTyaw9WXg0BJAdXaZrp0z0O4uoNuj0DiEInfB18j/+V3oVYaVwa4DBsBv0kSc9Ndh8sbJSC9Nh5OtE97u8zaGRww35adpGXve7k/BrDWxyDq7523nME/MuLk1Ooedt+CGiIiogTAANjI6nR5HN6dg11+JUFdoZcHgjkNC0LXZEdj99w5wZvu5k31aAt0eAzrcC61Gibzvvkfe999DV2bYms25a1f4TZkM586d8WfCn3h71dtQ6VQIdw/H7IGz0cKrhek+UQsg9rx9Z2UMYtKLZDvU2wkvjWiFke245y0REZkWA2AjkpNSjI2LY5F12hA4AsMcMTD6P/gkPgkcyTScZKMEokcC3R4HmvaHrrIS+T/9JHv9tIWGMi+ObdrAb/JkuPTpDY1Og3d2vYOlsUvl2wY0GYD3+r0Hd3uWJ7nSPW/dHG3x7OAWGNc7gnveEhGRWWAAbATUlVrs+fsUDv6bDL1OD3t7oFf4drQpng2bw2cXdbgGAF0eAjqPAzxC5PBuwdKlyJk7D5osQ1Cxb9YMfhMnwm3YDbIESVZZFqZsmoJD2YdgAxs81fEpPNn+SShsuEq1LnmlKlnL76f/kuTQr1LsedsjDBOHRsKbe94SEZEZYQC0cGeO5mLzL7Eozq2Q7ebuh9DP4TO4FOcbTojoJ+f2IfpmQGkHvVaLouXLkf35F1AnJ8tT7IKD4fvss/C4ZRRslIatxvZn7sfzm59HTnkO3Ozc8EH/D9C/SX/TfaJmrFKjlbt3fLExAcUVhsDNPW+JiMicMQBaqNLCSmz7NR4Jew29d67KbAxwW4AIx72AvRvQ4XFD8PNvVV10uOTff5E9+zNUxsfLY0pfX/g+NR6ed90Fheg2PHvektgl+Gj3R9DoNXJHj88GfYYw9zATfrbmSdyrlUfS8eHqE0jOM+yBLPa7nXFzK/Ru7mvqyyMiIrooBkALI4Z4j285g52/J6BSpYANtGjv/De6uy6BfWBzoNsnQPu7AQe36vcp3bkTWZ/ORsVhwx6+Cnd3+Dz2GLwfGAOF87kSJBWaCry9620sP7lctsU2bm/2fhPOYpUw1bI/KR/v/H0c+5MKZNvfzQEvDI/C6M5N5NAvERGROWMAtCC5J+Kw+cdjSM/1EDEOfrYJGOT5Nfw6tge6/QmE9YShsrNB+cGDyJr9Gcp27ZJtG2dneD84Fj6PPAKle+1FHKklqbLES0xejJzjN6XLFDzY+kFuR3ae5Lwy2eP39+F02XayU+LJAc3wRP9mcLbnfyciIrIM/I1l7nRaaGL+xd4/D+FAcnvo4AE7m3L08F2JdkOaQtHlb8AtoNa7VMTGIXvOHDnkK9jY2cHzvnvh+8QTsPW9cGhyR9oOTNsyDQWVBfBy8MLMATPl7h5XI6ekEvGZJfB0tpOFjV0dGte3VlGFGl9uTMB3209DpdHJnH1n5yaYOjwKAe6Opr48IiKiq9K4fks3JqW5wIEfkbx5Kzan3Y5CbRd5OMI7Ef1vD4Zb5zmAsvaXT5WUJBd3FP39t5igBigU8Lj9NvhNmAC7kJA657B9e/RbzDkwBzq9Tu7j++nATxHkGnTJS8sqqsDRtEIcSSmSL8W+tumFhkUoVcSqVxEEw+TDCaFehtfFsSAPR4vZ71aj1eGX3Un4dH28XOUr9G7ug+k3tUKbYNETS0REZHkYAM3Rpg9QvulrbC+4H7EVT8tDLo4V6D86FE37DbpgWFadmSnLuRQsWwZoDKtQ3W4cAb9nn4VDs2Z1fohSdSle3f4q1p1ZJ9u3t7gd03tOh4PSoVZAzCyqxJHUQvk4dvZl1Y4WNYlLEiGvuEKN/DK1DEvicSjZMEeuJluFDYI9naoDoSiQbAiKzvI5RC/i+Z9jQxOf+8bYLLy7MgYns0vlseZ+LnhlZCsMjvY3+fURERFdDwZAMxSbHoFtmR+jQi/m6enRrn8get4eBXun2l8uTX4+cr/+RhZy1lcaQplL/37wnzQJjq1bX/T5TxWewqSNk5BYmCj38H25+8u4s+WdSBdhLyVD9uhV9ezllBh6vWoSaxya+7mibYiH4RHsjtbB7nBztJNvFyFQrIpNyiuTc+aS88vk6+KRklcOlVZX3a6Lm4Ntde9hVTisaod4ORm9mPLxtCK8u+o4tifkVvdmThraEvd1D4OdhfRcEhERXYqNXnR10DUpKiqCh4cHCgsL4X7eoorrsfvPE9izOg0+IS4Y+EA0ApvWHmrUlpQg7/sfkPfdd9CVGnqnnLp0gf/kSXL7tkvZmLQRr2x7BSXqErjb+aCX6xRkZgfgWFpR9RDn+WGvpb+bDHrtQtzlSxH2rnXBg9iqTvQgVgVAQyg893pdvYs1iY63QHdHQ8/h2WHlMJ+zIdHLGX5uDtfcO5dZVIGP18bi130pcgTdXqnAw30iMGFQC3g4GcItERFZviIj/f62JAyAZvgNpFXrELMjDa36BkNZo8dJV1GB/F+WIHf+fGgLDEOrDq1bwV9s29a3b53BRwQuEawOpeRhSfxCHC1bJo9ryiJQkTIGeq1braHZlgFu1UFPPFoFusPJ3rg9bjVVqLVIqeoxzBUvy2UPouhJFMfKVNpLvr+jnaLWfMOaPYniuEsdi1PKVBp8veUUvtp8EuVqw/Pf1D4IL42Ilu9PRESNSxEDIAOgJXwD6dVqFPz+B3LmzoUm07Cnr33TpvCb+Bzchg2DjUJRHfZO5ZYahnCr5u2lFaFYVQSnkKWwdY2V56nyekOXczOiAj3RLsRDLmYQL6MC3eBo13Bh72qJzurcUlV1GDz30jDcnF5YDt1l+rN9XQ2LU6pCogiE3+84Jec6Cp3CPDHjplboEu7dMJ8UERE1uCIGQMsJgHPnzsXMmTORnp6ONm3aYPbs2ejXr99Fz9+8eTOmTJmCY8eOITg4GC+++CLGjx9f65xly5bh1VdfxcmTJ9G8eXO8++67uP32283mG0iv06Fo5Spkf/451ElJ8phtcBD8nn4GrqNG4VR+hQx5R1OLZOA7llaI0vN6yBQO6XBu8iNs7POggB1uDn4O97W+HS0DXI0+l66hifIsaQWGHsOqIeXkGgGxsFx90fcN8XTCSzdG4+b2QVzgQUTUyBUxAFrGIpClS5di0qRJMgT26dMH8+fPx4033ojjx48jLOzCLcpOnTqFkSNH4vHHH8fixYuxfft2TJgwAX5+frjjjjvkOTt37sQ999yDt99+W4a+P/74A3fffTe2bduGHj2urgZefZPbtm3chOzZs1EZF2c46OWFtFH3YXt0PxzKLMPxt/+tHq6sycFWIefotQ32gI3rAaxKn49KXQVCXENkiZdWPoat4Roje1sFInxd5KMuhWXqWsPJ4iHm/XVv6o0He0WYde8nERGR1fUAikDWuXNnzJs3r/pYq1atcNttt+H999+/4Pxp06Zh+fLliImJqT4mev8OHTokg58gwp/4C+Cff/6pPmfEiBHw8vLCL7/8YtK/IGKffwm6lX/J18vtnbCs5SAsa9oHFbbnSrRU7ULRJvjcfD0xjCtKlcBGh0/2fYIfj/8oz+sd3Bsf9vsQno6e9XaNRERElqqIPYDm3wOoUqmwb98+vPTSS7WODxs2DDt27KjzfUTIE2+vafjw4Vi4cCHUajXs7OzkOZMnT77gHDG0bGpbAtqgq3IV/mzeD8taDESJvTNc7JXoHnw26DUx9PA183O9YN/Z3PJcvLDlBezJ2CPbj7V7DM90fAZKBXu3iIiIyEICYE5ODrRaLQICam93JtoZGRl1vo84Xtf5Go1GPl9QUNBFz7nYcwqVlZXyUfMvCGMIvXEIPrf3R/OWoXj3bO9eUx8XKM4Le+c7kn0EkzdNRmZZJpxtnfFu33cxNHyoUa6RiIiILJfZB8Aq55c4ESPXl6r3Vtf55x+/2ucUw81vvvkmjG1Eu2D5uBq/x/+Od3a9A7VOjQj3CHw26DM086x7FxAiIiKybma/rYGvry+USuUFPXNZWVkX9OBVCQwMrPN8W1tb+Pj4XPKciz2n8PLLL8v5flWP5ORkmJpKq8KbO9/E6ztel+FvUOgg/HLTLwx/REREZLkB0N7eHl26dMG6dYY9a6uIdu/evet8n169el1w/tq1a9G1a1c5/+9S51zsOQUHBwe52KPmw5QySjPw8OqH8Vvcb7CBDZ7r9BxmD5oNV3tXk14XERERmTeLGAIW9fzGjh0rA5wIbgsWLEBSUlJ1XT/RM5eamopFixbJtjj+xRdfyPcTpWDEgg+xAKTm6t6JEyeif//++PDDD3Hrrbfir7/+wvr162UZGEsgFnlM3TwVeRV5cLd3x4f9P0TfkL6mviwiIiKyABYRAEXJltzcXLz11luyEHTbtm2xatUqhIeHy7eLYyIQVmnatKl8u1jl++WXX8pC0HPmzKmuASiInr4lS5ZgxowZshi0KAQt6g2augbg5Yh5ij/F/IRZe2dBq9ciyisKnw76FKFuoaa+NCIiIrIQFlEH0Fw1dB2hck25nO+3MnGlbI9sOhJv9H4DTrZORv/YREREjUUR6wBaRg8gAcnFyZi8cTJi82OhtFFiatepGNNqDLctIyIioqvGAGgBtqVuw7Qt01CkKoK3ozdmDZiFboHdTH1ZREREZKEYAM2YTq/DwiML8fmBz6GHHu192+PjgR8j0CXQ1JdGREREFowB0EyVqEowfdt0bEjeINt3Rt6Jl7u/DHulvakvjYiIiCwcA6AZSixIxMSNE3G66DTsFHaY3mM67og8t4KZiIiI6HowAJqhrw59JcNfgHMAPh34Kdr5tTP1JREREVEjwgBohmb0miGHeid3mQwfJ8PWdURERET1hQHQDImdPd7p+46pL4OIiIgaKbPfC5iIiIiI6hcDIBEREZGVYQAkIiIisjIMgERERERWhgGQiIiIyMowABIRERFZGQZAIiIiIivDAEhERERkZRgAiYiIiKwMAyARERGRlWEAJCIiIrIyDIBEREREVoYBkIiIiMjK2Jr6AiyZXq+XL4uKikx9KURERHSFis7+3q76PW6NGACvQ3FxsXwZGhpaX18PIiIiasDf4x4eHlZ5v2301hx/r5NOp0NaWhrc3NxgY2NT73+diGCZnJwMd3f3en1u4n1uaPx+5n1uTPj9bPn3Wa/Xy/AXHBwMhcI6Z8OxB/A6iG+aJk2awJjENz0DoPHxPjcM3mfe58aE38+WfZ89rLTnr4p1xl4iIiIiK8YASERERGRlGADNlIODA15//XX5knifLR2/n3mfGxN+P/M+NwZcBEJERERkZdgDSERERGRlGACJiIiIrAwDIBEREZGVYQAkIiIisjIMgA1k7ty5aNq0KRwdHdGlSxds3br1kudv3rxZnifOb9asGb766qsLzlm2bBlat24tV6SJl3/88QesXX3f56+//hr9+vWDl5eXfAwdOhS7d++GtTPG93OVJUuWyJ11brvtNlg7Y9zngoICPP300wgKCpLntWrVCqtWrYK1M8a9nj17NqKiouDk5CR3tJg8eTIqKipgza7mPqenp+P++++X91BsvDBp0qQ6z+PvwmsktoIj41qyZInezs5O//XXX+uPHz+unzhxot7FxUV/5syZOs9PTEzUOzs7y/PE+eL9xPv/9ttv1efs2LFDr1Qq9e+9954+JiZGvrS1tdXv2rXLar+cxrjP999/v/7LL7/UHzhwQN7nhx9+WO/h4aFPSUnRWytj3Ocqp0+f1oeEhOj79eunv/XWW/XWzBj3ubKyUt+1a1f9yJEj9du2bZP3e+vWrfqDBw/qrZkx7vXixYv1Dg4O+p9++kl/6tQp/Zo1a/RBQUH6SZMm6a3V1d5ncd+ee+45/Q8//KDv2LGjPP98/F147RgAG0D37t3148ePr3UsOjpa/9JLL9V5/osvvijfXtOTTz6p79mzZ3X77rvv1o8YMaLWOcOHD9ffe++9emtljPt8Po1Go3dzc5M/kKyVse6zuLd9+vTRf/PNN/px48ZZfQA0xn2eN2+evlmzZnqVSnWFX23rYIx7/fTTT+sHDx5c65wpU6bo+/btq7dWV3ufaxowYECdAZC/C68dh4CNTKVSYd++fRg2bFit46K9Y8eOOt9n586dF5w/fPhw7N27F2q1+pLnXOw5Gztj3efzlZWVybd5e3vDGhnzPr/11lvw8/PDo48+CmtnrPu8fPly9OrVSw4BBwQEoG3btnjvvfeg1WphrYx1r/v27Suft2rKSGJiohxqv+mmm2CNruU+Xwn+Lrx2ttfxvnQFcnJy5A9X8cO2JtHOyMio833E8brO12g08vnE3J2LnXOx52zsjHWfz/fSSy8hJCREzgW0Rsa6z9u3b8fChQtx8OBBo16/td9nEUI2bNiAMWPGyDASHx8vw6A457XXXoM1Mta9vvfee5GdnS2DoBhtE2976qmn5M8Qa3Qt9/lK8HfhtWMAbCBiUntN4gfC+ccud/75x6/2Oa2BMe5zlY8++gi//PILNm3aJCcwW7P6vM/FxcV44IEH5IIbX19fI12xZarv72edTgd/f38sWLAASqVSTsJPS0vDzJkzrTYAGutei58T7777rlz00KNHDyQkJGDixIkyHL766quwVsb4vcXfhdeGAdDIxC808YP2/L9wsrKyLvhLqEpgYGCd59va2sLHx+eS51zsORs7Y93nKrNmzZJDZevXr0f79u1hrYxxn48dO4bTp09j1KhR1W8XQUUQ58TGxqJ58+awJsb6fhbhw87OTj53FbEKWLyfGKKzt7eHtTHWvRYhb+zYsXjsscdku127digtLcUTTzyB6dOny1Wt1uRa7vOV4O/Ca2dd34EmIH6gir+y161bV+u4aPfu3bvO9xFzdM4/f+3atejatav84X2pcy72nI2dse6zIHpH3n77baxevVq+zZoZ4z5HR0fjyJEjcvi36nHLLbdg0KBB8nVRPsPaGOv7uU+fPrInqipgC3FxcTIYWmP4M+a9FvOFzw95IgCdXXwJa3Mt9/lK8HfhdbiOBSR0lUvfFy5cKJe+izIAYum7KMEgiBVQY8eOvaDEwOTJk+X54v3OLzGwfft2WQbmgw8+kOVJxEuWgan/+/zhhx/q7e3t5bH09PTqR3FxsdV+/xvj+/l8XAVsnPuclJSkd3V11T/zzDP62NhY/d9//6339/fXv/POO3prZox7/frrr8uKAb/88os8f+3atfrmzZvLVavW6mrvsyBKcIlHly5dZFku8fqxY8eq387fhdeOAbCBiFpy4eHhMkx07txZv3nz5lq/7MQS95o2bdqk79Spkzw/IiJClm8436+//qqPioqS/6HEUvply5bprV1932fxXOLvpPMf4oe7NTPG93NNDIDGu8+iblqPHj1kjTpREubdd9+VJXisXX3fa7VarX/jjTdk6HN0dNSHhobqJ0yYoM/Pz9dbs6u9z3X9/BXvXxN/F14bG/HP9fQgEhEREZFl4RxAIiIiIivDAEhERERkZRgAiYiIiKwMAyARERGRlWEAJCIiIrIyDIBEREREVoYBkIiIiMjKMAASkdUTexGLDeXF1nPXY+DAgZg0aZLV308iMn8MgERk9cR+w+np6Wjbtq1R78X3338vg2bVw9XVVe6P+vvvv1v914CIGhYDIBFZNZVKBaVSicDAQNja2hr947m7u8uwKR4HDhzA8OHDcffddyM2NtboH5uIqAoDIBFZhPnz5yMkJAQ6na7W8VtuuQXjxo2Tr588eRK33norAgICZO9at27dsH79+lrnR0RE4J133sFDDz0EDw8PPP7443UOAR8/fhwjR46UzyOeb+zYscjJyal+e2lpKR588EH59qCgIHz88cdX9HmIjyPCpni0bNlSXotCocDhw4ev8w4REV05BkAisgh33XWXDGAbN26sPpafn481a9ZgzJgxsl1SUiJDmwh9Vb1ro0aNQlJSUq3nmjlzphzu3bdvH1599dULPpbonRswYAA6duyIvXv3YvXq1cjMzJQ9dVVeeOEFeS1//PEH1q5di02bNsnnuxparRY//PCDfL1z585XfU+IiK6V8cc7iIjqgbe3N0aMGIGff/4ZQ4YMkcd+/fVXebyq3aFDB/moInrXREBbvnw5nnnmmerjgwcPxtSpU6vbogewpnnz5slA9t5771Uf+/bbb+Vcwbi4OAQHB2PhwoVYtGgRbrjhBvl2EeSaNGly2c+jsLBQ9hoK5eXlsLOzw4IFC9C8efPruDtERFeHAZCILIbo6XviiScwd+5cODg44KeffsK9994r5/BVDcu++eab+Pvvv5GWlgaNRiND1vk9gF27dr3kxxE9eaJ3ryqo1SSGmcVzirmDvXr1qj4ugmhUVNRlPwc3Nzfs379fvl5WViZ7K5988kn4+PjI3koioobAAEhEFkMEJDEHcOXKlXJ+39atW/HJJ5/UGpYVQ8KzZs1CixYt4OTkhDvvvFOGtZpcXFwu+XHExxAf68MPP7zgbWK+X3x8/DV/DmK+n7i2Ku3bt5dDyOJjMQASUUNhACQiiyEC3ejRo2XPX0JCAiIjI2UZlSoiEIrFHf9v525xE4yCKIC+7gEN+2AXSAgKJBKBZwOshCUgSQiOBA0WhcChaO5L2jRtk7aGpHnnJEh+5GVm7jcYDN5vAj+vd38j69/1el0LI981gxPgsrrd7Xal2+2+3yNmPZzbwb/KBDNTRYBnUQIB/t0aOBPA3OSNx+MvwSzP1Eub93A4lNFo9KU1/Buz2axcr9cyHA7Lfr8vp9OpTukmk0ktbmQ1PJ1O68Rxs9mU4/FYg2emez95PB7lcrnU1/l8rvd/mVqmvQzwLCaAwL+SAkfu7fLcvAS8j1arVQ1p/X6/dDqdslgsyu12+/N3pOSx3W7r+9Mkvt/vpdfr1RLKW8hLkzgTxjyGJnd98/m8Fjx+kt+TNXLkjjGfu1wu63cBPMvLI39HAQBohhUwAEBjBEAAgMYIgAAAjREAAQAaIwACADRGAAQAaIwACADQGAEQAKAxAiAAQGMEQACAxgiAAACNEQABAEpbXgE8YfSeN5sXHgAAAABJRU5ErkJggg==' width=640.0/>\n",
       "            </div>\n",
       "        "
      ],
      "text/plain": [
       "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "ax.plot(dfB1. B, dfB1. Rate)\n",
    "ax.plot(dfB2. B, dfB2. Rate)\n",
    "ax.plot(dfB3. B, dfB3. Rate)\n",
    "ax.plot(dfB4. B, dfB4. Rate)\n",
    "ax.plot(dfB5. B, dfB5. Rate)\n",
    "ax.set_xlabel('varied B')\n",
    "ax.set_ylabel('Rate')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5c715ba5-81b9-4438-bf01-08a182840842",
   "metadata": {},
   "source": [
    "Question 2:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "id": "276dc6b7-ea55-4e17-b5ac-bce0261cd7d0",
   "metadata": {},
   "outputs": [],
   "source": [
    "regA05B = sp.stats.linregress(df1.A, df1.Rate)\n",
    "regA1B = sp.stats.linregress(df2.A, df2.Rate)\n",
    "regA2B = sp.stats.linregress(df3.A, df3.Rate)\n",
    "regA4B = sp.stats.linregress(df4.A, df4.Rate)\n",
    "regA8B = sp.stats.linregress(df5.A, df5.Rate)\n",
    "regAB15 = sp.stats.linregress(dfB1.B, dfB1.Rate)\n",
    "regAB3 = sp.stats.linregress(dfB2.B, dfB2.Rate)\n",
    "regAB6 = sp.stats.linregress(dfB3.B, dfB3.Rate)\n",
    "regAB12 = sp.stats.linregress(dfB4.B, dfB4.Rate)\n",
    "regAB24 = sp.stats.linregress(dfB5.B, dfB5.Rate)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "id": "0274ffe9-a4e4-4e42-bbf6-ed16085eb264",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.24118661159479945\n",
      "0.35263044490832535\n",
      "0.5746500696105541\n",
      "0.7322856639928835\n",
      "0.8250788434733142\n",
      "0.25422083243133853\n",
      "0.3679535702854621\n",
      "0.5564088293747242\n",
      "0.7012039804663761\n",
      "0.8250788434733142\n"
     ]
    }
   ],
   "source": [
    "regressions = [regA05B, regA1B, regA2B, regA4B, regA8B, regAB15, regAB3, regAB6, regAB12, regAB24]\n",
    "rates = []\n",
    "for reg in regressions:\n",
    "    print (reg.slope)\n",
    "    rates.append(reg.slope)\n",
    "rates = np.array(rates)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f69ec969-ea5b-4f42-85ab-44daa35542b7",
   "metadata": {},
   "source": [
    "Question 3:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "id": "7bc3fec5-3116-4090-8af9-6345baf97283",
   "metadata": {},
   "outputs": [],
   "source": [
    "A = np.array([0, 0.5, 1, 2, 4, 8, 8, 8, 8, 8])\n",
    "B = np.array([0, 24, 24, 24, 24, 24, 1.5, 3, 6, 12])\n",
    "InitialRateData = pd.DataFrame({'A': A, 'B': B, 'rate': rates})"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "id": "ec93fb06-3fb0-4da0-a0a3-5edfc51deccc",
   "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>A</th>\n",
       "      <th>B</th>\n",
       "      <th>rate</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.241187</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>0.5</td>\n",
       "      <td>24.0</td>\n",
       "      <td>0.352630</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>1.0</td>\n",
       "      <td>24.0</td>\n",
       "      <td>0.574650</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>2.0</td>\n",
       "      <td>24.0</td>\n",
       "      <td>0.732286</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>4.0</td>\n",
       "      <td>24.0</td>\n",
       "      <td>0.825079</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>8.0</td>\n",
       "      <td>24.0</td>\n",
       "      <td>0.254221</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>8.0</td>\n",
       "      <td>1.5</td>\n",
       "      <td>0.367954</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>8.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>0.556409</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>8.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>0.701204</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>8.0</td>\n",
       "      <td>12.0</td>\n",
       "      <td>0.825079</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "     A     B      rate\n",
       "0  0.0   0.0  0.241187\n",
       "1  0.5  24.0  0.352630\n",
       "2  1.0  24.0  0.574650\n",
       "3  2.0  24.0  0.732286\n",
       "4  4.0  24.0  0.825079\n",
       "5  8.0  24.0  0.254221\n",
       "6  8.0   1.5  0.367954\n",
       "7  8.0   3.0  0.556409\n",
       "8  8.0   6.0  0.701204\n",
       "9  8.0  12.0  0.825079"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "InitialRateData"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "bdca3cc6-b36a-4014-9373-57e3cd61b6ce",
   "metadata": {},
   "source": [
    "Question 4:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "id": "857bdf38-414b-41c2-9cfb-dba37a2abd09",
   "metadata": {},
   "outputs": [],
   "source": [
    "def v(Vf, a, b, Ka, Kb):\n",
    "    return ((Vf)*(a)*(b))/((Ka+a)*(Kb+b))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "id": "ef1822c2-bb74-47e8-aa8e-d3c662a55ad1",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<h2>Fit Result</h2> <p>Model: Model(v)</p> <table class=\"jp-toc-ignore\"><caption class=\"jp-toc-ignore\">Fit Statistics</caption><tr><td style='text-align:left'>fitting method</td><td style='text-align:right'>leastsq</td></tr><tr><td style='text-align:left'># function evals</td><td style='text-align:right'>23</td></tr><tr><td style='text-align:left'># data points</td><td style='text-align:right'>10</td></tr><tr><td style='text-align:left'># variables</td><td style='text-align:right'>2</td></tr><tr><td style='text-align:left'>chi-square</td><td style='text-align:right'> 0.05817098</td></tr><tr><td style='text-align:left'>reduced chi-square</td><td style='text-align:right'> 0.00727137</td></tr><tr><td style='text-align:left'>Akaike info crit.</td><td style='text-align:right'>-47.4695374</td></tr><tr><td style='text-align:left'>Bayesian info crit.</td><td style='text-align:right'>-46.8643672</td></tr><tr><td style='text-align:left'>R-squared</td><td style='text-align:right'> 0.87423647</td></tr></table><table class=\"jp-toc-ignore\"><caption>Parameters</caption><tr><th style='text-align:left'>name</th><th style='text-align:left'>value</th><th style='text-align:left'>standard error</th><th style='text-align:left'>relative error</th><th style='text-align:left'>initial value</th><th style='text-align:left'>min</th><th style='text-align:left'>max</th><th style='text-align:right'>vary</th></tr><tr><td style='text-align:left'>Ka</td><td style='text-align:left'> 8.8154e-13</td><td style='text-align:left'> 0.08661183</td><td style='text-align:left'>(9825062325485.26%)</td><td style='text-align:left'>1.0</td><td style='text-align:left'>       -inf</td><td style='text-align:left'>        inf</td><td style='text-align:right'>True</td></tr><tr><td style='text-align:left'>Kb</td><td style='text-align:left'>-2.2842e-12</td><td style='text-align:left'> 0.25819797</td><td style='text-align:left'>(11303881871342.15%)</td><td style='text-align:left'>1.0</td><td style='text-align:left'>       -inf</td><td style='text-align:left'>        inf</td><td style='text-align:right'>True</td></tr></table><table class=\"jp-toc-ignore\"><caption>Correlations (unreported values are < 0.100)</caption><tr><th style='text-align:left'>Parameter1</th><th style='text-align:left'>Parameter 2</th><th style='text-align:right'>Correlation</th></tr><tr><td style='text-align:left'>Ka</td><td style='text-align:left'>Kb</td><td style='text-align:right'>-0.2437</td></tr></table>"
      ],
      "text/plain": [
       "<lmfit.model.ModelResult at 0x235163196a0>"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from lmfit import Model\n",
    "mymod = Model(v, independent_vars=['Vf','a','b'])\n",
    "mypar  = mymod.make_params(Ka=1, Kb=1)\n",
    "myfit = mymod.fit(InitialRateData.rate, mypar,a=InitialRateData.A, b=InitialRateData.B, Vf=InitialRateData.rate)\n",
    "myfit"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6a3b5e67-ab06-485b-b1d2-98d1c13b96c4",
   "metadata": {},
   "source": [
    "Question 6:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "id": "b94a2e40-4ff6-4581-af8e-8e9cdb8aa3e1",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 0.        ,  2.77777778,  5.55555556,  8.33333333, 11.11111111,\n",
       "       13.88888889, 16.66666667, 19.44444444, 22.22222222, 25.        ])"
      ]
     },
     "execution_count": 33,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "svals"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "id": "4311feba-120f-42cb-aa77-21e1fd33a82f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x2351638e270>"
      ]
     },
     "execution_count": 34,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "aa8fb3b650eb400284bcd442de9c9417",
       "version_major": 2,
       "version_minor": 0
      },
      "image/png": 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",
      "text/html": [
       "\n",
       "            <div style=\"display: inline-block;\">\n",
       "                <div class=\"jupyter-widgets widget-label\" style=\"text-align: center;\">\n",
       "                    Figure\n",
       "                </div>\n",
       "                <img 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' width=640.0/>\n",
       "            </div>\n",
       "        "
      ],
      "text/plain": [
       "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "svals = np.linspace(0,25,10)\n",
    "fig, ax = plt.subplots()\n",
    "ax.plot(InitialRateData.A, InitialRateData.rate, 'o', label='data')\n",
    "ax.plot(svals, myfit.eval(s=svals), label='fit')\n",
    "ax.set_xlabel('[A] (mM)')\n",
    "ax.set_ylabel('rate (mM/s)')\n",
    "ax.legend(loc='best')"
   ]
  }
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