{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "2518a2a2-7daf-45ab-bdb5-761e064626a6",
   "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\\natha\\Pysces\\psc\n",
      "pysces.output_dir = C:\\Users\\natha\\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",
      "Enabling pandas globally...\n"
     ]
    }
   ],
   "source": [
    "%matplotlib widget\n",
    "import numpy as np\n",
    "import scipy as sp\n",
    "import scipy.optimize\n",
    "import scipy.stats\n",
    "import os\n",
    "import copy\n",
    "from lmfit import Model\n",
    "backupdir = os.getcwd()\n",
    "import pandas as pd\n",
    "from matplotlib import pyplot as plt\n",
    "import pysces\n",
    "pysces.enablePandas()\n",
    "from numdifftools import Derivative\n",
    "import sympy"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "2a5e044a-d1a1-4028-8a78-2df38e0e9e63",
   "metadata": {},
   "outputs": [],
   "source": [
    "#reading in csvs:\n",
    "#B constant\n",
    "A05B24 = pd.read_csv('A0.5B24.csv', names=['time', 'conc'])\n",
    "A1B24 = pd.read_csv('A1B24.csv', names=['time', 'conc'])\n",
    "A2B24 = pd.read_csv('A2B24.csv', names=['time', 'conc'])\n",
    "A4B24 = pd.read_csv('A4B24.csv', names=['time', 'conc'])\n",
    "A8B24 = pd.read_csv('A8B24.csv', names=['time', 'conc'])\n",
    "\n",
    "#A constant\n",
    "A8B15 = pd.read_csv('A8B1.5.csv', names=['time', 'conc'])\n",
    "A8B3 = pd.read_csv('A8B3.csv', names=['time', 'conc'])\n",
    "A8B6 = pd.read_csv('A8B6.csv', names=['time', 'conc'])\n",
    "A8B12 = pd.read_csv('A8B12.csv', names=['time', 'conc'])\n",
    "A8B24 = pd.read_csv('A8B24.csv', names=['time', 'conc'])\n",
    "\n",
    "#both a and b = 0\n",
    "A0B0 = pd.read_csv('A0B0.csv', names=['time', 'conc'])\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4acacf49-6d90-431a-9af5-bca46215c8d1",
   "metadata": {},
   "source": [
    "Question 1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "e9b1ff3b-83e0-414b-a9eb-f26f9837804c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "0dc5d599561041ccbd2c46ca72ba29a3",
       "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 src='data:image/png;base64,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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(A0B0.time, A0B0.conc, 'o', label='A=B=0 mM')\n",
    "ax.plot(A05B24.time, A05B24.conc, 'o', label='A=0.5 mM')\n",
    "ax.plot(A1B24.time, A1B24.conc, 'o', label='A=1 mM')\n",
    "ax.plot(A2B24.time, A2B24.conc, 'o', label='A=2 mM')\n",
    "ax.plot(A4B24.time, A4B24.conc, 'o', label='A=4 mM')\n",
    "ax.plot(A8B24.time, A8B24.conc, 'o', label='A=8 mM')\n",
    "plt.legend(loc='best')\n",
    "ax.set_ylabel('[NADH] mM')\n",
    "ax.set_xlabel('Time (min)')\n",
    "ax.set_title('Scatter plot of [NADH] over time at different [A] with [B] = 24 mM')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "1845be38-a5a8-4057-ba32-bb2f2ae6c945",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "84b29e33cc1b449095902f1745b07d0e",
       "version_major": 2,
       "version_minor": 0
      },
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAoAAAAHgCAYAAAA10dzkAAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjEwLjgsIGh0dHBzOi8vbWF0cGxvdGxpYi5vcmcvwVt1zgAAAAlwSFlzAAAPYQAAD2EBqD+naQAAeVRJREFUeJzt3Qd4FFXbBuA3BQIhhZZGpINUkY40FUU6dkFBBEEUsYBYKDZsFAs/8CEgiAiKgIIF+ZAmRZqiFFHgQ5QqJCSBkACBQJL5r+fgrLub3U3bSWYzz31dS9iZszuzs7Oz757yHj9N0zQhIiIiIsvwL+odICIiIqLCxQCQiIiIyGIYABIRERFZDANAIiIiIothAEhERERkMQwAiYiIiCyGASARERGRxTAAJCIiIrIYBoBEREREFsMAkIiIiMhiGAASERERWQwDQCIiIiKLYQBIREREZDEMAImIiIgshgEgERERkcUwACQiIiKyGAaARERERBbDAJCIiIjIYhgAEhEREVkMA0AiIiIii2EASERERGQxDACJiIiILIYBIBEREZHFMAAkIiIishgGgEREREQWwwCQiIiIyGIYABIRERFZDANAIiIiIothAEhERERkMQwAiYiIiCyGASARERGRxTAAJCIiIrIYBoBEREREFsMAkIiIiMhiGAASERERWQwDQCIiIiKLsVQA+NNPP8ldd90lVapUkaCgIImKipLWrVvLs88+a9g2t27dKmPHjpWzZ89mWzd9+nT5+OOPxYyOHDkifn5++dq/ffv2qdeM5/C277//Xpo3by5lypRR+/f111+7LIf9xnr9lpSUZFs3YMAAtaxBgwaSmZmZ7bFY9+STT7p83t9++02tL1GihMTFxbksc/PNN9u26+/vL6GhoVKrVi257777ZMmSJZKVlZXtMdWqVZMePXq4fL5ffvkl23uB123/+lCmODh58qQ6d3bv3p1tHZbjtfoib33W8fpxHJzPc+fP2ksvvaSuc4GBgVK2bFm17PLlyzJkyBCJiYmRgIAAady4sZiVp+tmTp8558+R/ecEN1w76tWrJ6+99ppcuHDBoezw4cNt5UJCQqSwrq2eXq+na0NONmzYkKvrxIgRI1weOx32y/553n33XSlM8fHx6ppco0YNKV26tFStWlUGDRokx44dK5Tt+/3zuvHd4crrr79uK2PE955RLBMA/ve//5U2bdpIamqqvP3227J69WqZMmWKtG3bVhYvXmzYdvHBxoXG1wLAgkAAiNfs7Q+CpmnSq1cvFXwtW7ZMtm3bJjfddJPHx3z55ZeqnP4l6LyfeT3+H374ofqbkZEh8+fPd1sOFypsF+8/grVRo0bJxYsXVRCIL6uUlBQpCLxuPD++6IsTBIA4d1wFgI888oh6zb7IqM969+7d1TFBUKf75ptv5K233pKHHnpINm7cKGvXrlXLZ8yYIR988IG8+OKLsnnzZvnkk0/ErDxdN91p0qSJOhbvvfdetnX33nuvWocbjg/u40sbx8jeM888o8p069ZNjIL3CtvAe1eQ15sX77//vtomAl9nV65ckU8//VT9f+XKlXLixIlsZfAjFo/H9bSwpaeny4033qi+p5977jn57rvvZMyYMbbv9HPnzhXKfoSGhsoXX3yRbXv4XsJnOywsTHxNoFgEgr7q1avLqlWr1K9i3f3336/WFRc4GS9duqR+JRU3CA7OnDmjanFvvfXWXH8p4Be0M9QCNG3aVF599VXp06dPro4XLkQLFiyQ66+/XtUofvTRRzJy5EiXZfF8N9xwQ7YAZu7cuTJw4EB59NFHC/TDo1y5cur5//e//4mvQSBcqlSpPNfmXXPNNepG/4qIiFA3e7///rv6+/TTT0tkZKTDcpyX7mq38yMtLU2Cg4NN8ZbgC9j5M6dDa4/9uo4dO8rRo0fV5xnXS5yPgJol3JyPqTeh9cndfhqlfv36breJgDgxMVEFpAiq5s2bpwIse6gxxuOLonZr06ZNcvDgQfXjG7V+gB/ReL9x7cYPHHwnGO2OO+6QpUuXyqJFi2Tw4MG25evWrZPDhw+rZbNnzxZfYpkawNOnT0vFihUdgj8dmumcffbZZ6p5GM0AuKG5ZM6cObb1a9asUScEvpBw8UAT32OPPebQ1Igq/eeff179H8GnXkWMankEJXv37lW/0PXl9oEKairxawePK1mypMTGxqrmCecmC725cubMmerXHS4u+AC7ozcnfPXVV9KoUSO176itmjp1aq6OI2oOEHzh1xAu/PgFhouGDr+EUMsFHTp0sL22nGo/cnpeHEv9yx9Bl/Pxyo+JEyeqX7uoCc4N1OThPEIg179/f/njjz/UfufFww8/rGoX8EsSX0CFCbWmOKdxfHGcb7vtNocaNb1ZGc3szlB7hHV79uyxLUNz0u233y7ly5dX5xGC7c8//9zhcXoTJWrcEfjiixXbRzDtDJ+LFi1a2I6Tfu7oTZ6umoD183n58uVq+whw8DnAfX37uI+Av2XLli6bwHLzOtxBrU2rVq3UY/GFhB8VuE7gh5j9Pnr6rLuCzz++UCpUqKCuP126dFHnmzPnJmA8r14rjKBHP374iy9QBN/On0nsK2oocY3D8cOPC9SQHTp0yGFb+NJt2LCh/PDDD+rzifcR72l+rleofcT7gufADyr9/crpuulN4eHh6nkR3OQH9hHPYd+N5KmnnlLP+c4779iW4ZqB75j//Oc/LpuAc/t6UTuH8wvvUd26ddUPUG/A+Yr3DD9OK1eurP7an79FDS0+gGNtT2/V0YN3d/TPCAI1/TOFz+pDDz2kzk80L6NlCc+H2lmcx6gVdYbtI9B0Pu64j5bEa6+9VnyOZhGPPPIIzmjtqaee0n788Uft8uXLbsu+/PLLquzdd9+tffHFF9rq1au1SZMmqeW6GTNmaOPHj9eWLVumbdy4UZs3b552/fXXa3Xq1LE99/Hjx9X28Fxffvmltm3bNnVLSUnRdu7cqdWoUUNr0qSJbTmWwYULF7TGjRtrFStWVNtdu3atNmXKFC08PFy75ZZbtKysLNt+4LljY2O1Ro0aaZ999pm2bt067ffff3f72qpWrarKV6lSRfvoo4+0FStWaH379lXP884779jKHT58WC2bO3eubdmGDRu0EiVKaM2aNdMWL16sff3111qnTp00Pz8/bdGiRapMQkKCNm7cOPXY999/3/basNyd3DwvjiWOof4e2h8vV7DfKIvX4ax///5amTJl1P/vuusurWzZstrp06cdjukTTzyR7XG33XabFhQUpJ05c0b7888/1f4NGDAgW7mbbrpJa9Cggdt9mzlzptrGJ5984vC+dOvWTbty5Uq2G85X5/fC+XX+/PPPmicLFixQ5XBccXxxnHG8S5YsqW3atEmVwbYiIyPV+eCsZcuWWtOmTW33cZ7hse3bt1fPtXLlSnUsnPdT3z+cc48++qj23XffaUuWLNEyMjKybQOfC738Sy+9ZDt38N7Dq6++qtbZw3G75pprtIYNG2oLFy5U53OrVq3U+fTKK69obdu2VefNV199pV177bVaVFSUlpaWlufX4Q7KzpkzR1uzZo26vfHGG1rp0qW11157zVbG02fdFXy+O3TooM61t956S11/8NrxHNgv/N/deY7nHTRokFqG16IfP/zF+YV9c/5MDh48WB2vZ599Vj0G15G6deuqYxUfH+9wXpcvX16rXLmy9p///Edbv369uvbl9XpVrVo1dT59/vnn6v26+eabtcDAQO2vv/7K8brpDvYNN1fwPEOHDrV9npKTk9VnIDQ01OW57nyNcAfHCs+9detW2zIcNxxjXCt0OK9Qbt++fS6vrTm9Xv0cr1+/vjZ//nxt1apV2n333afK4/h7gvcI5fDXFWzb399fPR/gc4fyuCa7ou+7/XeFO66uZa5u9ueHu+fBtQrX1O3bt2vnzp3TduzYoc45XJM8fZfbf0aqV6+uznF8niZOnKgFBARoDzzwgHqON998U31+R44cqcq+9957Ds+hfyd8//33Du8lzqVSpUqp71IcE3ffOWZlmQAwKSlJa9eunXqDcMMFr02bNiqIwwmlO3TokDox3F0YXMEJjJP06NGj6rm/+eYb2zpPJwVOaFcXLewTPpTOX+r44sRz4aKpw31caBGU5AYuJghcdu/e7bAcF6ywsDB1MXcXAN5www0qQLA/Xvgix5cvLlD6BxlBs6eLjrPcPm9eLj65DQD/97//qfcbFwZPAeCRI0fUe3L//ffbluG9w/OkpqbmKQBEEIRt4CJk/77o56a7W34DwMzMTK1SpUraddddp/6vw/HGccfnQDdixAj1BXb27FnbMlzssA186dt/0SGgwXlvr0ePHlpMTIxtO/r+PfTQQ1pu4HW4e63uAkDs799//21bhnMb5bAf+vkM+NLHcvxoy+vryA2UxfO8/vrrWoUKFRy+2Nx91j2dHwii7CEYzCkAtD9OiYmJOQY1CDRcfeEhMMBxfeGFF2zLsP8oiy/BglyvEFjaf2YQZOLxeB5dXr9McwoAXd26du2qnT9/Pt8BIM4t/HjA+w04B/G8CCJw7C5dumQLsPH507m6tnp6vTjHEWTg+0V38eJFFYw/9thjBQoAse/6jwX9+w/fD/369XNZPrfXYL1cbm65+Z7A+dKzZ0+Hx+GHg/0Pd3f0zwiCbHt33nmnWo4fLfb0wNKe/p2AzzQCyeeee04tRyVHSEiIupb6YgBomSZgVPuiL8HPP/8sEyZMUM23aFIZPXq0XHfddbamWzTtokr/iSee8Ph8CQkJakQdqszRrIxqavQdgf379xdoX9EcgqYWNMlgsIF+69y5s8umgVtuuUU12+QWRr+i2cUe+lKgGWfnzp0uH4OqcoyiRtOQ/eg4NJ/069dP/v77bzlw4ECeX6tRz5tbderUUf1Kpk2b5nFEGZpFMHpXb/IC/B/7n9e+fO6aV9q1a6fOT+ebp8EmuYHjh/6TOJ723R1wvO+55x758ccfVV8u/TWhmdD+NeG1o2sBzhH4888/Vd/Dvn37qvv25yiatzE62vk9w3aMgs8Jmhx1ekd3NFna90/Tl+tN7/l5Hc7QrIT+ZGgewjmL68Arr7yimv1wjciP9evXq7/6fun04+9NuNbgmvLggw86vP7o6Gh1jXC+1uA6g+tNQa5X6BqCLgg6NFWjr6KRXSLQxKd/ntCEjS4vaPpH07qr7gi5gXMLXSr0QTb47kAzIppzMeJa7x6C9ThHCgLHFqO6dWj2RJNjQY4ZrkN6sy+6g+hN0PjcoK8bvg/yq1KlSi6vZa5uzZo18/hcaI7t3bu3GhiGPnZ4/9DNCd13sN+5HVDnPMK53j/XA/vBOPpyd8dVHwmMLgw4x9F8jnPLqBHjRrPMIBAdUojgpp9Y6E/2f//3f2ogCG7oDAueOpsjEOjUqZP6Un355ZdVAIk+RliOjrL4Ai2IU6dOqS8nve+DM/t+hmA/AjA3cHF3twxfXK4kJyerC4arbeHD7umxnhj1vHmBPjgYBYf30lX/Sbyv6EeC/cHFSh+ph4s63ndcBNAvMLf0i4v++nQIIvRz05v04+fuGOP14X3AFxp+HKAfHr4YMFAFP4ZwbPCDCf3c9PMT0FcGNyPO0bzQ90uH/kyelqPTf35fh73t27er6wC+MPHFhGsGtoG+lBiFm9/rAN4v/KjEj9acPrcFhWOAzx+CMFfQPzin9zGv1yvn1wX4gVHQ66Yn6Htq/9lq3769WvbAAw+ozzb6b+cHrgFvvPGG+iGIQA/BMV4frhO4j+OHAQLoK1oQRhwzffACUsDYB3sIaPAjZOHChfk+Lvgc5DbNUE59MHF9xchfBIv6e4j3Dz+Ya9asKZMnT1aD+bx5nbj0zzXCFfRPxvs5btw4VWGi9+30RZYLAO3hgoUTBwGgPnJOH/2Fmif8MnIFZX/99Vd14cBgAB0ugt6AwSro6Ouuky/W28vraEp0enW3zNWFRv/lj9ojV7nvEAi72q/cMOp58wJfauiwjpphVzkhcSHXgzZXxwc1aEgpg5F2uR2MgfcMqQ0Kg77P7o4xjr99DTIucEOHDlU12RgIgMdhmU5/P1B7fvfdd7utWbVnxvx9+Xkd9jAaENcQ1IDZd0R3l5syL+8XahcQCNqfb64+t944Bnhv0DqCgMKZ8zJX72Ner1dmgUFwgGt5fmHgGn44olYKg6f0QATLMfAJNWr6fbPRBzVOmjRJ3Vytz28AiIEu+mvPCYJN/IhyBzV/CBIxAMYegmt8PvTv7sJSuXJlFfgjCMT1AQOifJVlAkB8ibn69ao31+q1MfhFj5MNox5Rve+KfhF0vjgix5YzvYyrX2rufsGhqhq/LnBy5/ZDlBcYkYiLnn0zMEY9o1nG+UOmQ00XRjsiDxSSgOppU1B7hBoi1H7oo6A8veaCPK+RUBM8a9Ysla/P1YUQQRL20XkkGn4ooGkVX365SY6KmjX8mkVznn2TjpFwkUITKd5j1HTp5y9qLdDUo48M1qFWBLUC+IGDABCPxefC/vlq166tziGcp96Ul3OnoAr6OnAcUVNnX4OB/XaVXy8vtTVoIkVrBFKUIJWLDu+ft+Fagx8+aE5DzU9+n8Pb16vCOA/0XJP2qXLyCiPLMaIUtVAI0PWmVAQIyDKA0eT4Yehc21+U5z2gxh+ZIDB69c0338y2HiPGcf4huELzfn6bgHPD048s/bnQEoHnw3eFDl248COpKFJDPfvss+q7Ss944assEwCiPwpOlJ49e6oh9AgwcAFA0lC03w8bNsyWRgE5kFCtjw8jvgzxpY8aHjRlIOrH41H1jGABzSeoQv72229VHxBnaB4GpBpBbSFqDHDCI9jCOtQioL8Vfs2gFgHLUBuFL2bUECExKX6pYn/RRw2/KnHy2X8Q8gofKKS9QNMngmIEWth3XLA85fQaP368usDhCwqBBKrKkT4CFwk0F+iBhX7BQECF14nXhS8Gd7WLuX1eI+EijgS5ON72cIFBniycP2gGdQU1yOinh9ehN4Ph3EHNoP5/BFKoGUJtEZI4I21PYUHwioACfcrwZY1f9ej3hFQVaM5GAGAP/ZiQ7gABINbjPXFOlYQfO127dlXHBX1iECQiRyN+UKFZBGlu8gOfK1xY8eWDvjj4bOJ8zekLNL8K8jrQdwg1Jwjm0VyOcwU/AlzVpLn7rLuCYBuf/RdeeEEF6Wj22rJliyGJmxEAYN9Rw4s+cdgufpThBzP6sGEfH3/8cY/PYcT1ytN1Mz/QTK1/HtG8h2s/Ah+c6/a123mF4B+fZ1z/cY3D+asfV5wHqBW0D+IL6/XmRM9/iH1zVfuGazXK4Mcvrm95hWu4t7qz4P3BPqAfMVIc4bjgeoofHThX0Re/sHXq1MnhR7HP0iwCQ/H79Omj1a5dW43awShgpELBaCd9SLc9DLdv0aKFGn2F8hgpaD9qC4/ByFmkEihXrpwaRn/s2LFso/Rg9OjRahQYRrrZj3rCyFKk5cBzYDlGe+kwOg1D8pFWBiPNMNIXozifeeYZh9QM7lKWuINtdO/eXY3Qw8hEPDfSMjiPhHI1Ug2QMgSpHTBCDiPdMIL322+/zbadyZMnq9FSGGGbm5QauXleI0YB20tPT1f7bH9M8TpwHyNIc0rrsnTpUofRkvoN20IKj3vvvVeNkHY1slR/X/I6Mja3aWAArwEpUnBOY59uvfVWbcuWLS7LIlWCvv9//PGHyzK//vqr1qtXLzWSGJ+n6Oho9R7ieORn/3RI54LRuXhO+8+Tu1HAro6bq8+Fu/MnN6/DHaR/wGcUKVvwHmMkK9LCOJ97nj7rrmAU9sCBA1WKouDgYHWtwYh1b48Ctn8dODf0z1/NmjXVyO1ffvklV6PbC3q9wvHA/uXmulnQUcB4j/FePfzwwyqdU35HAeswWhvPi9G+9vCeOY8693Rtdfd63Z3jnl5zTqOAMdIV5zuuee7gGozUPvZl8nIN9qaDBw+q72p8V+Gzhu/u3r17a3v37s3xse6uQa/m4XOSm+9ZXxwF7Id/ijoIpcKDGk7U0NknXi2OUHuFX47ol4nR2a4SgPsyfGzRLIKaR4xitu8gTWQ1qMXCZwI1bqitdpXcPzdQc4kbPlOo1Tx//rz4MozARssK+jGjprIg10H0S0VfaEx6gNYDdwOnyHdYJg0MWRMuVmhO8TSa0xehWRqvS58aicjqMBADnwl0b8kv9H3FcxQ09ZLZoE8iXpermXByA11B8HhcT6n4YA2gxVilBhD9sZDiQIeUBMWpFhAXZPtR5+hobpY5WYkKG/I1njt3Tv0f/fryG6gcP37clh4I/fswLaAvwzGxz2WZ3+sEWht27drlMBLWXeog8h0MAImIiIgshk3ARERERBbDAJCIiIjIYhgAEhEREVkMA0AiIiIiiyk+wyKLAPJFYS5VZGs341ynRERElJ2maWqUNGYZym/eSF/HALAAEPxhODwRERH5nuPHjxfJfMJmwACwAPR5GnECYS5ZIiIiMr/U1FRVgWPUfMu+gAFgAejNvgj+GAASERH5Fj8Ld9+yZsM3ERERkYUxACQiIiKyGAaARERERBbDPoCFMNQ8IyNDTaZN1oRJ5QMDAy3d14SIiMyFAaCBLl++LHFxcZKWlmbkZsgHBAcHS0xMjJQsWbKod4WIiIgBoJFJog8fPqxqf5BoEl/8rAGyZg0wfggkJiaq86F27dqWTTpKRETmwRpAg+BLH0Eg8gyh9oesq3Tp0lKiRAk5evSoOi9KlSpV1LtEREQWx6oIow8wa3uI5wEREZkMawCJiIjIVLKyMuXE/r1y/myyhJQtJ7H1Goi/f0BR71axwgCQiIiITOPgT1tl3cez5PyZJNuykPIV5ZYBj0rtVm2KdN+KEzYBm1xmlibb/jot3+w+of7ifmHYunWrGsDSpUuXAj/Xxx9/rAbA6LeQkBBp1qyZfPnllwV63uTkZOnXr5+Eh4erG/5/9uxZ8bYNGzao/S5XrpxcunTJYd327dttr4uIiAoe/C2bNM4h+APcx3KsJ+9gAGhiK3+Pk3YT18kDs3+UYYt2q7+4j+VG++ijj+Spp56SzZs3y7Fjxwr8fJgrGSlxcNu1a5d07txZevXqJQcOHMj3c/bp00d2794tK1euVDf8H0GgUTBp+FdffZXtOFWpUsWwbRIRWanZFzV/nqyfN0uVo4JjAGhSCPIe/3SnxKU41jjFp1xSy40MAi9cuCCff/65PP7449KjRw9Vg1dQqCGLjo5WN6RCefPNN9UAmT179uTr+fbv36+Cvg8//FBat26tbrNnz5bly5d7DCqrVaumtv3QQw+pmsiqVavKN998o9K03HHHHWrZddddJ7/88ku2x/bv318FfLqLFy/KokWL1HIiIioY1efPqebP2bnTSaocFRwDQBNCM+9r3+4TV429+jKsN6o5ePHixVKnTh11e/DBB2Xu3Lkqn509BEqebl27dnX7/JgVZd68eer/TZs2tS0fMmRIjs+r10Zu27ZNNfu2atXK9vgbbrhBLUPztSf/93//J23btlU1kd27d1e1hggI8Vp37twptWrVUvedXzPKbdq0ybYPS5cuVQGl/WsgIqL8wYAPb5YjzzgIxIS2Hz6TrebPHsISrEe51jUreH37c+bMUcEQoA/g+fPn5fvvv5eOHTvayqC5Nafcd/ZSUlJUAKfXnCEv3qxZs6RmzZq2Mq+//ro899xzHp8XSbUhPj5eIiMjs63HMqzzpFu3bvLYY4+p/7/yyisyY8YMadGihdx3331q2ciRI1WN4qlTp1SNpf1zI7BFjSgeh9rAgQMHetwWERHlDkb7erMcecYA0IQSzl3yarm8QPMpBjboAzQwh23v3r1VsGMfAKKWLK/951C7Bpgab+3atSoIq1ChgvTs2dMWYLkK6txxNfACtXY5Dcho1KiR7f9RUVHqL5p9nZclJCQ4BICAgG/YsGEqQEYt5BdffKFqBYmIqGCQ6gWjfT01A4dWqKjKkYWagKdPny7Vq1dXsyhgBGlOX7obN25U5VC+Ro0aMnPmzGxlJk+erJo5UVuFGTueeeaZbKM8i0JkaCmvlstr7V9GRobExsaq4A831JAhIMSo2/w2AaO/H4JG3BCAjRgxQjp06CATJ07MVxMwAjPU0DlDXz49gHMHtY86PVh0tQwzubiqPcQ5MmjQIBW4IoAlIqKCQ54/pHrxpEP/R5kP0Eo1gOiTNnz4cBUEou/WBx98oAKMffv2uRyBiTlX8UU9ePBg+fTTT2XLli0ydOhQiYiIkHvuuUeVWbBggYwaNUrVbLVp00b++OMPGTBggK2PWFFqWb28xISXUgM+XPXyQ3gSHV5KlfMmBH7z58+X9957Tzp16uSwDscNx+zJJ5/MVxOwK0gzg+bg/DQBo4kWzcqorWzZsqVa9tNPP6lleD+Ngn1GX8C3335bvvvuO8O2Q0RkRcjzd/uIMdnyAKLmD8Ef8wBaLACcNGmSqnF55JFHbDV3q1atUjVT48ePz1YetX0IDFEO6tWrp0Z1vvvuu7YAEM13CCaRSgTQmf+BBx5QAUVRC/D3k1d71lejfRHs2QeBeuMm1qOcN2EELWr5cKwxmMLevffeq2oH9QAwr03AaJrV++Yh6FuzZo16D9GXTpeXJmC8p+ifiCAfPwjg0UcfVaOWUatrpDfeeEOef/551v4RERkAQV7NFq04E4jVm4AvX74sO3bsyFYjhfvuRnsiuHMuj7xzCAKvXLmi7rdr1049rx7wHTp0SFasWKFGhbqTnp4uqampDjejdGkYIzMebKpq+uzhPpZjvbchwEM/P+fgDxA4o9ZP78eXVzhWMTEx6obgDbWMqPF78cUX872/qJFE3z2817ihafmTTz4Ro5UsWVIqVqzI5M9ERAY2B1du0Ejqtb1J/eU0cBasAUxKSlJpQ5z7deG+u9GeWO6qPJo48XwIQu6//37VXwyBIGqnsA5579As7A5qG1977TUpLAjybqsfrUb7YsAH+vyh2dfbNX+6b7/91u06pDpxTouSW2ha15vXval8+fKqiT8vjhw5km2Z8+tCbbD9sptvvtnja7/zzjvzfWyIiIiKgukDQJ3zyM6cRnu6Km+/HNN7vfXWW6pfIXLJ/fnnn2p0J4LDl19+2eVzjh49Wg1esK/VwuARIyHYMyLVCxERWQNmzlBJls8mqxQqGEXLGjUyfQCIpjZ0vHeu7UOKDnejPTFC1FV5jGjVR20iyENnfr1fIZoSMQMG+pGhWRKjVp0FBQWpGxERkS/A3LnOAyqQagWjbTmgwtpM3wcQ/a2QzgWDBuzhvrvRnhgh6lx+9erV0rx5c1u6D+Sicw7yEGiippDNeUREVByCv2WTxmXLq4f7WI71ZF2mDwABza6Y8xUpWzAHLPL1IR8c8sbpTbOYukuH5UePHlWPQ3k8DgMc7FOMIIcbRhFjLlekjUHAiFrB22+/XQWCREREvtzsi5o/T9bPm6XKkTWZvgkYMBPF6dOn1ajRuLg4adiwoRqxW7VqVbUey/QEwYCE0ViPQPH9999XueOmTp1qSwEDL730kuoPiL8nTpxQOQIRFKJfIBERkS9Tff48zKgB504nqXIYZUvW46exvTPfMAgEKVOQfDgsLMxhHWaLQM2iPnsJWRvPByIqTPu3bJQVU9/JsVy3p59XqVasJtXD97dV+EQTMBEREeUeRvt6sxwVPwwAiYiIihmkesFoX08wvRrKkTUxACQiIipmkOcPqV48wdy6zAdoXQwAiYiIiiHk+bt9xJhsNYGo+cNy5gG0NgaAZoch+oc3ify25Opfg4fsY8o2jI7Wb0ic3aVLF9mzZ4+h2927d68apY1p2LDdyZMn52paN/t91W8rV670+v6NHTtWPTeOhbO3335brcOUcUREZoIgb/D7c6TXK+PUgA/8fWTaHAZ/5BtpYCxr3zKRlSNFUk/+uyyskkiXiSL1bzdsswhy5s6dq/6PGVWQKqdHjx4OqXa8DYm5a9SoIffdd59K35MXa9eulQYNGjjMEWwETBO4fv16+fvvv+Waa66xLcexqlKliiHbJCIqKDTzMtULOWMNoJmDv88fcgz+IDXu6nKsNwimu8N0erg1btxYRo4cKcePH5fExETDttmiRQt555135P7778/zdHuopdT3FzfMHpNTreHnn38u7du3l9KlS6tt//HHH/Lzzz+r2WJCQkJUEOz8eiMjI6VTp04yb94827KtW7dKUlKSdO/ePR+vmoiIqGgwADQjNPOi5k80Fyv/WbZylOHNwXD+/HlZsGCB1KpVyzaPsivjxo1TgZOn26ZNmwzZR8zeguCsbdu2smTJklw95tVXX1U1mzt37lRzRD/wwAPywgsvyJQpU9R+/vXXX/LKK69ke9zAgQPl448/tt3HLDN9+/b1GHQSERGZDZuAzejo1uw1fw40kdQTV8tVb+/1zS9fvlwFbHDhwgXV9IllznMn28P0e7169fL4vLGxsV7dT+zjpEmTVOCHfVu2bJmaNQY1dA8++KDHx2JawM6dO6v/Dxs2TAWA33//vXouGDRokEOgp0NTOF7rDz/8oOaoRk3i5s2bVSBIRETkKxgAmtH5U94tl0cdOnRQ8yTDmTNnZPr06dK1a1fZvn27bfo9Z+h3Z1TfO3cqVqzo0F8QzbfJyclqUEZOAWCjRv9OfRQVFaX+XnfddQ7LEhISsj2uRIkS6rnR7+/QoUNy7bXXOjwXERGRL2ATsBmFRHm3XB6VKVNGNfni1rJlS5kzZ46qCZw9e7Ypm4Dt3XDDDXLw4MEcyyGQ06FPoKtlWVlZLh+LZuAvvvhCzTON/xMREfka1gCaUdU2V0f7YsCHy36AflfXo1whQDCEJtaLFy+aqgnYlV27dqkmayNhxDFuSI3Tp08fQ7dFRERkBAaAZuQfcDXVC0b7IthzCAKv1lZJlwlXyxkgPT1dpX8BNKlOmzZNDQbp2bOn28cUtAn48uXLsm/fPtv/T5w4Ibt371Y1h6iJBOzHV199pfrqAfr6odauSZMmKkD99ttvZerUqTJx4kQx2rp16+TKlStStmxZw7dFRETkbQwAzQp5/nrNd5MHcIKheQCRSFmvRQsNDZW6deuqJk8jEx2fPHlSBXK6d999V91uuukm2bBhg1qGdCsYnWvvzTfflKNHj0pAQIDqj4fBGDn1//NWMzkREZGv8tM0zVUbI+VCamqqhIeHS0pKioSFhTmsu3Tpkhw+fFiqV68upUqVyv/xRKoXjPbFgA/0+UOzr0E1f2Qcr50PRERk6Pe3VbAG0OwQ7BmQ6oWIiIisi6OAiYiIiCyGASARERGRxTAAJCIiIrIYBoBEREREFsMAkIiIiMhiGAASERERWQwDQCIiIiKLYQBIREREZDEMAImIiIgshgGgyWVmZcrP8T/LikMr1F/cN9KAAQPEz8/PdqtQoYJ06dJF9uzZY+h2v/zyS2nevLmULVtWzbPbuHFj+eSTTwzZFuY0xmubMGFCtnXdunVT68aOHWvItomIiMyAAaCJrT26Vjov7SwDVw2UkZtGqr+4j+VGQsAXFxenbt9//70EBgZKjx49DN1m+fLl5cUXX5Rt27apYPPhhx9Wt1WrVhmyvcqVK8vcuXMdlp08eVLWrVsnMTExhmyTiIjILBgAmhSCvBEbRsiptFMOyxPSEtRyI4PAoKAgiY6OVjfUxI0cOVKOHz8uiYmJhm0TtXJ33XWX1KtXT2rWrCnDhg2TRo0ayebNm90+5uOPP1Y1hsuXL5c6depIcHCw3HvvvXLhwgWZN2+eVKtWTcqVKydPPfWUZGY61pwioD19+rRs2bLF4fk6deokkZGRhr1OIiIiM2AAaEJo5p2wfYJoomVbpy+buH2i4c3BcP78eVmwYIHUqlVLNQe7M27cOAkJCfF427RpU662qWmaqnk8cOCA3HjjjR7LpqWlydSpU2XRokWycuVK2bBhg9x9992yYsUKdUMz8qxZs2TJkiUOjytZsqT07dvXoRYQAeDAgQNztY9ERES+LLCod4Cy25mwM1vNn3MQGJ8Wr8q1iG7h9UOIGjUEbIDaNDSJYpm/v/vfC0OGDJFevXp5fN7Y2FiP61NSUlSZ9PR0CQgIkOnTp8ttt93m8TFXrlyRGTNmqFpDQA0ggr5Tp06p11C/fn3p0KGDrF+/Xnr37u3w2EGDBkm7du1kypQpsmPHDrX97t27s/8fEVERy8rSJO7gWbmQmi5lwoIkpnZZ8ff3K+rdKlYYAJpQYlqiV8vlFQImBFVw5swZFYh17dpVtm/fLlWrVnXbhw+3gggNDZXdu3erWkfUAI4YMUJq1KihmofdQbOvHvxBVFSUavrVA1h9WUJCQrbHoom5du3aqnYQAWK/fv2kRIkSBXoNRERUMH/tSpBNiw/KhbPptmVlygZJ+961pWYTdtHxFgaAJhQRHOHVcnmFUbho8tU1a9ZMwsPDZfbs2fLmm2+6bQLGzZPvvvtO2rdv73Y9ahj17aLv4f79+2X8+PEeA0DngA0jeF0ty8rKcvl4NPm+//77sm/fPhXgEhFR0QZ/Kz/4PdtyBINY3uWxhgwCvYQBoAk1jWwqUcFRasCHq36AfuKn1qNcYUAAheDs4sWLhjYBu+oLiOZgI/Xp00eee+45uf7661VzMRERFV2zL2r+PNn8+UGpfn0Em4O9gAGgCQX4B8iolqPUaF8Ee/ZBIO7DyJYjVTkjIOiKj49X/09OTpZp06apZtmePXu6fUxBm4BR04c8gGjOvXz5shrAMX/+fFtTtFEwShjpbtj0S0RUtFSfP7tmX1fOJ6ercrF1yhXafhVXDABNqmPVjjLp5klqNLD9gBDU/CH4w3qjYDStngsP/fLq1q0rX3zxhcem2ILCYJOhQ4fK33//LaVLl1bb/PTTT7MN3DACUskQEVHRwoAPb5Yjz/w0tLNRvqSmpqq+cRg9GhYW5rDu0qVLcvjwYalevbqUKlUq30cYqV4w2hcDPtDnD82+RtX8kXG8dT4QERVXJw4ky9f/tyvHcnc+06TANYCpHr6/rYI1gCaHYM+IVC9ERERmglQvGO3rqRk4pNzVlDBUcEwETUREREUOef6Q6sWTdr1qcwCIlzAAJCIiIlNAnj+kekFNoHPNH1PAeBebgImIiMg0EAQi1QtnAjEWA0AiIiIyXXMwU70Yi03ARERERBbDAJCIiIjIYhgAEhEREVkM+wASERHlUlZWppzYv1fOn02WkLLlJLZeA/Fncn7yQQwAiYiIcuHgT1tl3cez5PyZJNuykPIV5ZYBj0rtVm14DMmnsAnY5LTMTLnw03ZJWf5f9Rf3jTRgwADx8/Oz3SpUqCBdunSRPXv2iNHOnj0rTzzxhJqHGNOl1atXT1asWOH17WBOY7y2CRMmZFvXrVs3tW7s2LFe3y4R+Xbwt2zSOIfgD3Afy7GeyJcwADSx1NWr5c9bO8qx/v3l5HPPqb+4j+VGQsAXFxenbt9//70EBgZKjx49DN3m5cuX5bbbbpMjR47IkiVL5MCBAzJ79myJjY01ZHuVK1eWuXPnOiw7efKkrFu3TgWgRET2zb6o+fNk/bxZqhyRr2AAaFII8k4MGy4Z8fEOyzNOnVLLjQwCg4KCJDo6Wt0aN24sI0eOlOPHj0tiYqJh2/zoo4/kzJkz8vXXX0vbtm2latWq0q5dO7n++uvdPubjjz+WsmXLyvLly6VOnToSHBws9957r1y4cEHmzZsn1apVk3LlyslTTz0lmU41pwhoT58+LVu2bHF4vk6dOklkZKRhr5OIfI/q8+dU8+fs3OkkVY7IVzAANCE0854aN15E01ysvLoM641uDobz58/LggULpFatWqo52J1x48ZJSEiIx9umTZvcPn7ZsmXSunVr1QQcFRUlDRs2VM/pHLg5S0tLk6lTp8qiRYtk5cqVsmHDBrn77rtV0zFun3zyicyaNUvVKtorWbKk9O3b16EWEAHgwIED83R8iKj4w4APb5YrbFlZmpw4kCx//Byv/uI+EQeBmFDaLzuy1fw50DS1HuXKtGrp9e2jRg0BG6A2DU2iWObv7/73wpAhQ6RXr14en9dTc+6hQ4dU8yuCMgRuBw8eVMFgRkaGvPLKK24fd+XKFZkxY4bUrFlT3UcNIIK+U6dOqddQv3596dChg6xfv1569+7t8NhBgwapWsYpU6bIjh07JCUlRbp3787+f0TkAKN9vVmuMP21K0E2LT4oF86m25Zhnt32vWurKdfIuhgAmlBGLptac1surxAwIagCNMtOnz5dunbtKtu3b1dNs66UL19e3fIrKytLNb2iti4gIECaNWum+uS98847HgNANPvqwR+g9hBNv3oAqy9LSEjI9thGjRpJ7dq1Ve0gAsR+/fpJiRIl8v0aiKh4QqoXjPb11AwcWqGiKme24G/lB79nW45gEMu7PNaQQaCFsQnYhAIjIrxaLq/KlCmjmnxxa9mypcyZM0fVBGJQhlFNwKhlvPbaa1Xwp8Mo4Pj4eDVAxB3ngA0jeF0tQ4DpCpp833//fRUEsvmXiFxBnj+kevGkQ/9HTZUPEM28qPnzZPPnB9kcbGGsATSh4ObNJDA6Wg34cNkP0M9PAqOiVLnCgAAKzb8XL140rAkYAz8+++wzFajpTc1//PGHCgzRX88offr0keeee04NNkFzMRGRK8jzd/uIMdnyAKLmD8Gf2fIAxh0869Ds68r55HRVLraO+ZquyXgMAE3ILyBAosaMVqN9Eew5BIG4j2bNMaNVOSOkp6ermjdITk6WadOmqcEgPXv2dPuYgjYBP/744/Kf//xHhg0bpkbtog8gahWffvppMRJGCSPdDZt+iSgnCPJqtmjlEzOBXEhN92o5Kn4YAJpUWKdOIlMmq9G+9gNCUPOH4E+tNwhG0+q58EJDQ6Vu3bryxRdfqATKRkFevtWrV8szzzyj+uahthDBIFLQGA2pZIiIcgPBXuUGjUx/sMqEBXm1HBU/fprmqo2RciM1NVXCw8PV6NGwsDCHdZcuXZLDhw9L9erV1awW+YVUL2pUcGKi6vOHZl+jav7ION46H4iIctsHcP6YrR6bgUPKBUm/t9qIv//VliUrSfXw/W0VrAE0OQR7RqR6ISKi4gtBHVK9uBoFrGvXq7Ylgz+6iqOAiYiIiiHk+UOqF+T9c675YwoYYg0gERFRMQ4Cq18fcXVUcGq66vMXU7ssa/6IASAREVFxhmZepnohZ2wCJiIiIrIYBoBEREREFsMAkIiIiMhiGAASERERWQwDQCIiIiKL8ZkAcPr06bZZFJo1ayabNm3yWH7jxo2qHMrXqFFDZs6cma3M2bNn5YknnlDTnqFcvXr1ZMWKFQa+CiIiIqKi5xMB4OLFi2X48OHy4osvyq5du6R9+/bStWtXOXbsmMvymHKrW7duqhzKjxkzRp5++mlZunSprczly5fltttukyNHjsiSJUvkwIEDMnv2bDUHrdmm8zlxIFn++Dle/cV9Iw0YMED8/PxstwoVKkiXLl1kz549hm537969cs8990i1atXUdidPnpytzPjx46VFixZqfuLIyEi588471ftmBH0/Fi1alG1dgwYN1LqPP/7YkG0TEREZzScSQU+aNEkGDRokjzzyiLqP4GDVqlUyY8YMFRQ4Q21flSpVbEEEavZ++eUXeffdd1WQAR999JGcOXNGtm7dKiVKlFDLqlatKmby164E2bT4oMNcjsjojul9kNzTKAj45s6dq/4fHx8vL730kvTo0cNtwO0NaWlpqqb2vvvuk2eeecZtrS5qbBEEZmRkqB8EnTp1kn379kmZMmW8vk+VK1dWx+H++++3Lfvxxx/VMTFie0RERIXF9DWAqKnbsWOH+qK3h/sI3lzZtm1btvKdO3dWQeCVK1fU/WXLlknr1q1VQBEVFSUNGzaUcePGSWZmptt9SU9PVxNI29+MDP4wh6PzRN64j+VYb5SgoCCJjo5Wt8aNG8vIkSPl+PHjkpiYaNg2EdS98847KtjC9l1ZuXKlqqFEDdz111+vgjMEpTg/3Bk7dqx6DQj48aMgJCREHn/8cfU+v/322+o1ojbxrbfeyvbYvn37qqATr12H58HywECf+O1ERETkmwFgUlKS+rJGkGYP91ET4wqWuyqPWiM8Hxw6dEg1/eK50e8PtVzvvfeey0BAh9rG8PBw2w01REZAMy9q/jzZ/PlBw5uD4fz587JgwQKpVauWag52B8EzgitPt5z6beZVSkqK+lu+fHmP5f766y/57rvvVAC5cOFCFcR1795d/v77bxXgTZw4Ub3/qN1zPmfww2HevHm2Wkp0Rxg4cKBXXwcREVFh85lqDPS5sqdpWrZlOZW3X56VlaVqfmbNmiUBAQFqwMjJkydVLdQrr7zi8jlHjx4tI0aMsN1HDaARQaCas9Gp5s/Z+eR0Vc6I6X2WL1+uAja4cOGCGiSDZf7+7n8vDBkyRHr16uXxeb3ZvxLvJ96Ldu3aqdpbT/BeI+hD38H69etLhw4dVN9BBP54TXXq1FFB4IYNG+SGG25weCyCvWeffVY1N+MHQ82aNVWNIhERkS8zfQBYsWJFFaA51/YlJCRkq+XToVnPVXk02+m1WAhq0PcPz61DX0E8Ds3OJUuWzPa8aJp01zzpTZiw25vl8goBEvpXAvpJYgQ2Bt1s377dbT9J1MLlVBPnTU8++aQamLJ58+ZcDehA8KfDeYP33T6gxTKcI85QU/jYY4/JDz/8oIJI1v4REVFxYPomYARiqJ1bs2aNw3Lcb9OmjcvHoG+fc/nVq1dL8+bNbQM+2rZtK3/++aeqHdL98ccfKjB0FfwVpjJhQV4tl+ftlymjmnxxa9mypcyZM0fVBGKUtBmagJ966inVh3P9+vVyzTXX5Fhef891qAV2tcz+XNDhR0O/fv3k1VdflZ9++kn1/yMiIvJ1pq8BBDT14UsYARyCOzTbovM/mh31ptkTJ07I/Pnz1X0snzZtmnrc4MGD1aAQBDHo/6XDQID//Oc/MmzYMBVQHDx4UAUxSBdT1GJql1WjfT01A4eUC1LlCgOCI9SWXbx4sUibgNHsi/fqq6++Us21yAtZGFDrhxHkvXv3lnLlvN/kTkREVNh8IgDEF+/p06fl9ddfl7i4ONXnC/239OZILLNPUYLAAOuRTuT999+XSpUqydSpU20pYAB991AriDKNGjVSwQmCQYx4LWr+/n4q1QtG+7rTrldtVc4IGO2sN6EnJyerYBqDQXr27On2MQVtAkazO9K56P9HQL97925Vc4iaSMCI7c8++0y++eYb1aSr7yMG5JQuXVqMgq4BGDwUHBxs2DaIiIgKk08EgDB06FB1c8VVQt6bbrpJdu7c6fE5UZvoPPLTLJDnr8tjDbPlAUTNH4I/I/MAYrQsmsIBgVbdunXliy++kJtvvtmwbWIATpMmTWz3UeOGG95H1PaB3i/ReT+QDgbpYYzkaQQ0ERGRr/HT9OGxlGcYBYzaJ6QjCQsLc1h36dIlNSOJPn1dfiHVixoVnJqu+vyh2deomj8yjrfOByIiMvb72yp8pgbQqhDsGZHqhYiIiKzL9KOAiYiIiMi7WANIRESUS+yWQ8UFA0AiIqJcwBzszgPzkLILWRuMHJhHZAQ2ARMREeUi+ENqLuf8rLiP5VhP5EsYABIREeXQ7IuaP082f35QlSPyFWwCJiKiIpGVlSkn9u+V82eTJaRsOYmt10D8/f+dn90sVCouDzMzwfnkdFWOWRvIVzAAJCKiQnfwp62y7uNZcv5Mkm1ZSPmKcsuAR6V2K9fzvBcV5GH1ZjkiM2ATMBERFXrwt2zSOIfgD3Afy7HeTJCE35vliMyAASARERVqsy9q/jxZP2+WKmcWmIEJo309wTSdKEfkKxgAmhwugsf37pH9Wzaqv0ZfFDGnrp+fn+2GOXC7dOkie/bsMXS7s2fPlvbt20u5cuXUrWPHjrJ9+3a35cePH6/2b/jw4YbsT7Vq1dTzL1q0KNu6Bg0aqHWu5qAmIs9Unz+nmj9n504nqXJmmpEJqV48wRztnKaTfAkDQBNDM8jsJwbJ56+PkRVT31F/cd/o5hEEfHFxcer2/fffS2BgoPTo0cPQbW7YsEEeeOABWb9+vWzbtk2qVKkinTp1khMnTmQr+/PPP8usWbOkUaNGhu5T5cqVZe7cuQ7LfvzxR4mPj5cyZcoYum2i4goDPrxZrrAgz1+XxxpmqwlEzR+WMw8g+RoGgCZVlH1kgoKCJDo6Wt0aN24sI0eOlOPHj0tiYqJh21ywYIEMHTpUba9u3bqqRjArK0sFoPbOnz8vffv2VetRU5iTsWPHquf86KOPVFAZEhIijz/+uGRmZsrbb7+tXmNkZKS89dZb2R6L7WzcuFG9dh2eB8sRFBNR3mG0rzfLFSYEeQ+NayN3PtNEbhtUX/3t91YbBn8G0DIz5cJP2yVl+X/VX9wn72IAaEJm6iODgAvBWa1atVRzsDvjxo1TwZWn26ZNm3K93bS0NLly5YqUL1/eYfkTTzwh3bt3V03EufXXX3/Jd999JytXrpSFCxeqIA7P8ffff6sAb+LEifLSSy+p2j17UVFR0rlzZ5k3b55tnxYvXiwDBw7M9baJyBFSvWC0ryehFSqqcmaEZl6kerm2RbT6y2Zf70tdvVr+vLWjHOvfX04+95z6i/tYTt7Dagwf7yNTuYH3m0GXL1+uAja4cOGCxMTEqGX+/u5/LwwZMkR69erl8XljY2NzvQ+jRo1S5e0DPfTH27lzp2oCzgvUJCLoCw0Nlfr160uHDh3kwIEDsmLFCvWa6tSpo4JANEPfcMMNDo9FsPfss8/Kiy++KEuWLJGaNWuqGkUiyh/k+UOqF7RkuNOh/6OmzAdIxkOQd2LYcBHNMal2xqlTV5dPmSxhnTrxrfACBoAmVNR9ZBAgzZgxQ/3/zJkzMn36dOnatasalFG1alWXj0FNnXNtXX6haRY1dQjISpUqpZahGXbYsGGyevVq27K8DOhA8GdfsxcQEOAQ0GJZQkL2qZxQU/jYY4/JDz/8oIJI1v4RFRzy/N0+Yky2PICo+UPwZ7Y8gFQ40Mx7atz4bMHf1ZWaiJ+fWh96663iF8AfCAXFANCEirqPDAY4oMlX16xZMwkPD1f97t588023TcC4eYJmWIz09eTdd99Vz7N27VqHQR47duxQARr2RYd+fAjMpk2bJunp6Sqoc6VEiRIO9zGC19Uy1BQ6Q1+/fv36yauvvio//fSTfPXVVx73n4hyB0FezRatfGImECocab/skIz4ePcFNE2tR7kyrVrybSkgBoAm7iPjqRm4MPvIIDhCbdnFixcNbQJ+5513VIC5atUqad68ucO6W2+9VX777TeHZQ8//LAaMIJBKu6CP29ArR8C0969e+dq4AlRUfCVadXsYf+M6MZCvikjlwMNc1uOPGMAaEJF3UcGtWlIdQLJycmqhg2DQXr27On2MQVtAkaz78svvyyfffaZarLVt68PIEETbsOGDbPVVGJgivNyb6tXr54kJSVJcHCwodshssK0akTuBEZEeLUcecZRwCbvI+M8Wg41f1hu5EUdo2Ux8AO3Vq1aqUEXX3zxhdx8882GbRP9DC9fviz33nuvbdu4oebNDBBoli5duqh3g8jnp1Ujcie4eTMJjI5Wff1c8vNT61GOCs5P01z1tqTcSE1NVX3jUlJSJCwszGHdpUuX5PDhw1K9evU8D1rw9WYdys5b5wOR8/UByeFz6i7yyLQ5vG5YfHCF6l+XmKhqzxBAmXUQhW0UMNiHJ/8EhbFeGgWc6uH72yrYBGxy7CNDRGZNGUXmh4AKI2ftB1egFi1qzGhTplNR+zRlcvZ9jooy7T77KgaAREQ+qqhTRpG5+WpOPewTUr34Sq2lr2IASETko4o6ZRSZl6/n1MM+MdWLsTgIhIjIR/n6tGpkjpx6ZE0MAImIfDxllCecVs2amFOPcsIA0GCuZpcg6+F5QMUxZRSZF3PqUU7YB9AgJUuWVLNnnDx5UiIiItR9zKhB1oIsS8hvmJiYqM4HnAdE3sZp1chdTj0M+HDZDxA59aKimFPPwhgAGgRf9sj5FhcXp4JAsjbMIlKlShV1XhAZgSmjyHkQBdKmqNG+qHxwkVMP6804AIQKBwNAA6G2B1/6GRkZkpmZaeSmyMQwT3FgYCBrgImoUDGnHnnCANBgaPYtUaKEuhERERUm5tQjdxgAEhERFWPMqUeusEMSERERkcWwBpCIiIpEVpYmcQfPyoXUdCkTFiQxtcuKvz+zJRAVBgaARERU6P7alSCbFh+UC2fTbcvKlA2S9r1rS80mkXxHiAzGJmAiIir04G/lB787BH+A+1iO9URkLAaARERUqM2+qPnzZPPnB1U5IvKhJuDXX389V+VeeeUVb2+aiIhMTvX5c6r5c3Y+OV2Vi61TrtD2i8hqvB4Ajh07VipVqiSRkZFqGix3ufEYABIRWQ8GfHizHBGZJADs0qWLrF+/Xpo3by4DBw6U7t27q5kQiIiIMNrXm+WIyCR9AFesWCGHDh2SVq1ayfPPPy/XXHONjBw5Ug4cOODtTRERkY9BqheM9vUkpNzVlDBE5GODQGJiYmT06NEq6Fu8eLEkJCRIixYtpG3btnLx4kUjNklERD4Aef6Q6sWTdr1qMx8gka+PAkbg16FDB6lXr57s2rVLrly5YvQmiYjIxJDnr8tjDbPVBKLmD8uZB5DIhxNBb9u2TT766CP5/PPP5dprr5WHH35Y+vTpI2FhYUZtkoiIfASCvOrXR3AmEKLiEgC+/fbbMnfuXDl9+rT07dtXNm/eLNddd523N0NERD4+rRr2j6leiIqGn+YuV0s++fv7S5UqVaRHjx5SsmRJt+UmTZokvi41NVXCw8MlJSWFNZtEVGQ4rRpR3qTy+9v7NYA33nijyvO3d+9et2WwnoiIvDetmjN9WjX2qSOiQgkAN2zY4O2nJCKiAkyrhr52Zm8OJqLCxbmAiYgsMK0aEVGhjAJG18IlS5aoWUGQBzArK8th/ZdffmnUpomILIHTqhGR6QLAYcOGyaxZs1QOwKioKPb7IyLyMk6rRkSmCwA//fRTVcvXrVs3ozZBRGRp+rRqnpqBOa0aERVqH0CkR6lRo4ZRT09EZHmcVo2ITBcAjh07Vl577TXO/UtEZCBOq0ZEpmoCvu+++2ThwoUSGRkp1apVkxIlSjis37lzp1GbJiKyFE6rRkSmCQAHDBggO3bskAcffJCDQIiIDMZp1YjIFAHgf//7X1m1apW0a9fOqE0QEREVKi0zU9J+2SEZiYkSGBEhwc2biV9AAN8F8jmGBYCVK1fm/LhERFRspK5eLafGjZeM+HjbssDoaIkaM1rCOnUq0n0jMs0gkPfee09eeOEFOXLkiFGbICIiKrTg78Sw4Q7BH2ScOqWWYz2RL/HTMGWHAcqVKydpaWmSkZEhwcHB2QaBnDlzRnxdamqqSneTkpLC2k4iomLc7PvnrR2zBX82fn4SGBUltb5fy+ZgH5HK72/jmoAnT55s1FMTEREVGtXnz13wB5qm1qNcmVYt+c6QtQPA/v37G/XUREREhQYDPrxZjqhY9wEkIiIqDjDa15vliIp1DSAREVFxgFQvGO2LAR9o7nXXBxDlyDsyszJlZ8JOSUxLlIjgCGka2VQC/Jlux5sYABIREXmAPH9I9YLRvgj2HIJA3BdR65kP0DvWHl0rE7ZPkFNpp2zLooKjZFTLUdKxakeeq1ZrAp4+fbpUr15dSpUqJc2aNZNNmzZ5LL9x40ZVDuVr1KghM2fOdFt20aJF4ufnJ3feeacBe05EvgbZC3au3Crr53+j/uI+WRvy/MVOmaxq+uzhPpYzD6D3gr8RG0Y4BH+QkJaglmM9mTwNjDctXrxY+vXrp4LAtm3bygcffCAffvih7Nu3T6pUqZKt/OHDh6Vhw4YyePBgeeyxx2TLli0ydOhQNTfxPffc41D26NGj6jkRJJYvX16+/vrrXO8Xh5ETFT+bFn0nvyybL1mZ52zL/ANCpfntD0n7+7sW6b5R0eNMIMY2+3Ze2jlb8KfzEz9VE7jynpUFbg5OZRoY7waATZs2zVN51LotW7ZMYmNjPZZr1aqVeu4ZM2bYltWrV0/V2I0fPz5b+ZEjR6rn3b9/v23ZkCFD5Ndff5Vt27bZlmVmZspNN90kDz/8sKpRPHv2LANAIosHf9u/et/t+pZ3PcEgkMggP8f/LANXDcyx3EedP5IW0S0KtK1UBoDe7QO4e/duefbZZyUkJCTHsog7J0yYIOnp6R7LXb58WXbs2CGjRo1yWN6pUyfZunWry8cgyMN6e507d5Y5c+bIlStXbEmpX3/9dYmIiJBBgwbl2KQM2Ff7/cUJRETFA5p5UfPnCda3vvc2CQxk92kib8OAD2+WI8+8fhV7/vnnJTIyMtfTxeUkKSlJ1dRFOfW7wP14N4k5sdxVeVzg8XwxMTGqWRgBIYLW3EJt42uvvZbr8kTkO/as3e7Q7OsK1qNc0y5tCm2/iKwCo329WY4KcRAI+t6hRi230IevatWquW4udq5BdF6WU3l9+blz5+TBBx+U2bNnS8WKFXO9v6NHj1bTvum348eP5/qxRGRuKQmJXi1HRHmDVC/o44e+fq5geXRwtCpHJqsBzG0wp6tcuXKOZRCgBQQEZKvtS0hIyFbLp4uOjnZZHs02FSpUkL1798qRI0ekZ8+etvVZWVnqL8ocOHBAatasme15g4KC1I2Iip/wyAivliOivMHADqR6wWhfBHua/DtEQQ8KR7YcyXyAZm0C3rNnT67KNWrUKFflSpYsqdK5rFmzRu666y7bcty/4447XD6mdevW8u233zosW716tTRv3lz1/6tbt6789ttvDutfeuklVTM4ZcqUXAWmRFS8NOrYUjbOD/XYDIzRwChHRMZAnr9JN09ymQcQwR/zAJo4AGzcuLFqZrVvcrVvstX/ol9fbo0YMUKlgUEAh+Bu1qxZcuzYMTWyV2+aPXHihMyff7UDN5ZPmzZNPQ6pYDAoBP39kAYGkBsQaWLslS1bVv11Xk5E1oDaf6R68TQKGOs5AITIWAjyOlTuwJlAfC0ARD9AHYI9BFQrVqzIc/Owvd69e8vp06fVqN24uLhsz4llCAh1SBiN9c8884y8//77UqlSJZk6dWq2HIBERPb0PH/MA0hU9M3BBU31QkWcCDo0NFTl30Oi5eKGeYSIiidkDMBoXwz4QJ8/NPuy5s/7mFSZikoq8wByLmAiImcI9pjqxeAv4NWr5dS48ZJhN2AvMDpazanLadWIjOczcwETEVHxCf5ODBvuEPxBxqlTajnWE1ExCAA95esjIiJrNfui5k9c9T76ZxnWoxwR+dAgkCZNmjgEfBcvXlT59pDOxd7OnTu9vWkiIjK5tF92ZKv5c6Bpaj3KlWnFlDtEPhMA3nnnnQ733eXqIyIi68lITPRqOSIySQD46quvevspiYiomAjM5XShuS1HRCYJAO0lJSWpKdfQJFytWjU1DRsREVlXcPNmarQvBny47Afo5yeBUVGqHBH52CAQzLV74403qrl6W7VqJS1btpTIyEi55ZZb1Dy7RERkTX4BASrVy9U7TgME/7mP9ShHRD6UCDo+Pl7N1BEREaGmZMO8u9jEvn37ZPbs2WpGj99//10FhL6OiSSJiPJ5/WQeQCpCqUwE7f0AcOTIkbJ27VrZsmWLmnPXHkYEt2vXTjp16iTjx48XX8cTiIgo/zgTCBWVVAaA3m8CXrNmjQoCnYM/KF26tDz//POyatUqb2+WiEisHkxd+Gm7pCz/r/rrC3n00MyLVC/hPbqrv2z2JfLhQSCHDh2Spk2bul3fvHlzVYaIiLyDzalEVOQ1gOfOnZOwsDC360NDQ+X8+fPe3iwRkSVxWjXKSWZWpvwc/7OsOLRC/cV9IkPSwCAIdNUErLe7e7nbIRGRJeU4rZqfn1ofeuutbF61qLVH18qE7RPkVNop27Ko4CgZ1XKUdKzasUj3jYpZAIjg7tprr/W4nnMDExEVHKdVo5yCvxEbRogmjj8QEtIS1PJJN09iEGhhXg8A169f7+2nJCIiFzitWuFD8+nOhJ2SmJYoEcER0jSyqQT4B5hyP1Hz5xz8AZb5iZ9M3D5ROlTuYMr9Jx8MAG+66aYcyyRyjkciogLjtGqFy5eaUxGk2u+nqyAwPi1elWsR3aJQ942K8Uwg7pp+V6xYIXfffbdcc801hbVZIqJiP61athk17KdVi47mtGpebE51Dqr05lSsNxPUUHqzHBU/hgeASPny0ksvSZUqVaRv374SHBwsixYtMnqzRGQSWVmZcnzvHtm/ZaP6i/vkHZxWzRzNqYDmVDONrkXztDfLUfFjyCjgS5cuyZIlS+TDDz+UH3/8UW677TaJi4uT3bt3q2niiMgaDv60VdZ9PEvOn0myLQspX1FuGfCo1G7Vpkj3rbgI69RJZMpkNdo3Iz7etjwwKkrNqavWk+WaU9E3Ec3TqKF0FbiiDyDWoxxZk9cDwKFDh6oavjp16siDDz4oS5culQoVKkiJEiXE37/QWpyJyATB37JJ47ItRzCI5bePGMMg0EsQ5CHVixoVnJio+gaieZgza1i3ORUDO9A3Ec3TCPbsg0Dch5EtR3IAiIV5PQCcNWuWmgpu1KhRKukzEVkPmnlR8+fJ+nmzpGaLVuLPEYhenVaNvM9Xm1MxMAWpXlwNXEHwZ7aBK+TjAeD8+fNl7ty5EhMTI927d5d+/fpJly5dvL0ZIjKxE/v3OjT7unLudJIqV7lBo0LbLyKrNaciyEOqF19IXUOFy+ttsn369JE1a9bI77//LnXr1pUnnnhCBYNZWVmyb98+b2+OiEzo/Nlkr5YjMkNzqn3zqS81p2K/0DexW41u6q9Z95MKl2Gd8qpVqyavvfaaHDlyRD755BO55557VJ9ApIB5+umnjdosEZlASNlyXi1HZJbm1MjgSIflqPnjjBrkiwwZBWwP076hCRi3M2fO2JqIiaj4iq3XQI329dQMHFqhoipH5CvYnErFiZ+GDM2UL6mpqRIeHi4pKSkSFhbGo0iUi1HAOo4CJqKiksrvb+/XAL7++uu5qhV8+eWXvb1pIjIR5PlDkOecBxA1fx36Mw8gEVGxqgFs0qSJ+435+cmBAwdUoujMTPNkTM8v/oIgyl1KGDUq+Gyy6vOHZl+mfiGiopTKGkDv1wDu2rXL5XLMAoLcgBgdPHjwYG9vlohMCsEeU70QEZmL4VNzHD58WI3+bdGiheovt3fvXpk5c6bRmyUiIiKiwg4Ak5KS5KmnnlK5ADEP8NatW2Xx4sVSu3ZtozZJREREREXRBHzhwgV59913ZdKkSVKrVi359ttvpRMnIyciIiIqvgFgzZo15dy5c6r274EHHlADP/bs2ZOtXKNGnP6JiIiIqFiMAvb3/7dVGcGf/dPr9/GXo4CJiIioKKRyFLD3awAx6IOISJeVpUncwbNyITVdyoQFSUztsuLv7zifKhER+XgAWLVqVW8/JRH5qL92JcimxX/IhbOXbcvKlC0p7XtfKzWbOM6pSkREPjoKGH39srKycl0eKWEyMjK8uQtEZKLgb+UHv8mF5HSH5biP5VhPRETFIADELCCnT5/OdfnWrVvLsWPHvLkLRGSSZt8f5v8mgi7Afk7NvbiviVqPckRE5ONNwBjggTl+g4ODc1X+8uV/m4WIqPg4eeCMpF30E3HX1c/PT9IuXi13Tb0Khbx3RETk1QDwxhtvVHP95qUGsHTp0nwXiIqZ5N3/y3W5a+q1FbPRMjMl7ZcdkpGYKIERERLcvJn4BQQU9W4REZkzANywYYM3n46IfFTJ9FQRCcplOXNJXb1aTo0bLxnx8bZlgdHREjVmtIQxqT0RFROGzwVMRNZTqU55CbqUjH4hrgtomgRdOqPKmS34OzFsuEPwBxmnTqnlWE9EVBwwACQirwtp2VzqJq29esc5CPznft2k71U5MzX7oubPZdD6zzKsRznyjsysTPk5/mdZcWiF+ov7ROSjeQCJiNBfrtHTd0nmGx/KwZr3SnqpcraDEpSeLLX/WiqNXn7YVP3qVJ8/p5o/B5qm1qNcmVYtC3PXiqW1R9fKhO0T5FTaKduyqOAoGdVylHSs2rFI943IChgAEpEh0F+uiYjEjJsgSZdCJL1kmARdTpWKpc5L9MujTNefDgM+vFmOPAd/IzaMEE3lCfpXQlqCWj7p5kkMAokMxgCQiAyDIC/01lsl1gdG1GLfvFmOXEMzL2r+nIM/wDI/8ZOJ2ydKh8odJMDffOcJUXHBAJDIh2RlZcqJ/Xvl/NlkCSlbTmLrNRB/k39JItjzhSZTBKYY7YsBHy77Afr5SWBUlCpH+bczYadDs6+rIDA+LV6VaxHdgoeayCAMAIl8xMGftsq6j2fJ+TNJtmUh5SvKLQMeldqt2hTpvhUHCFSR6gWjfa/OVmIXBP4zmwnWm7H2Uq9ZQ9CUmJYoEcER0jSyqSlr0LB/3ixHRPnDAJDIR4K/ZZPGZVuOYBDLbx8xhkGgF6h+iVMmZ88DGBVl6jyAvjSgAsGpN8sRUf74aZi/jfIlNTVVwsPDJSUlRcLCwngUybBm39lPDHKo+XMWWqGiPDJtjumbg32FL80E4m5ABfrSgdkGVKCmsvPSzmrAh6t+gNhvBK8r71lpyhpMKh5S+f3NPIBEZqf6/HkI/uDc6SRVjrzbbzG8R3f116zBX04DKgADKsyUXw9BHWom7YNUnX5/ZMuR5g3+cCwPbxL5bcnVvyY6tkR5wUTQRCaHAR/eLEfWHFBhJqiRRM1kZHCkw3LU/JmtxtLBvmUikxuKzOshsnTQ1b+4j+VEPoZ9AIlMDqN9vVmOig9fHlCBIA+pXnxh4IqCIO/zh1RY7SA17uryXvNF6t9eVHtHlGcMAIlMDqleMNo3pz6AKEfW4usDKhDs+USqFzTzrhyZPfhTsMxPZOUokbrdRcwawBI5YRMwkclhYAdSvXjSof+jHABiQagxQ7Opc186HZZHB0erclQAR7eKpJ70UEATST1xtRyRj2AASOQDkOcPqV5QE+hc88cUMNbl8wMqfMX5U94tR2QCbAIm8qEgsHqzlrJn7XZJSUiU8MgIadSxpQQG8mNsZfqACld5ABH8mXZAhS8JifJuOSITYB7AAmAeISpMf+1KkE2LD8qFs+m2ZWXKBkn73rWlZhPH0ZRkPb4yE4hPQh9AjPbFgA+X/QD9RMIqiQz/zZx9ALH/aJ5GDSWC1KptzLmfhSiVeQAZAPIEIl8J/lZ+8Lvb9V0ea8ggkKhQRgGLUxD4T9O7WUcBY78xgMW+DyOC1S4Tzbm/hRS0pjIAZB9AIrPLytJUzZ8nmz8/qMoRkUEQLCHIC4txXI5gyszBH4JW5wEseuoas+YvZL7FQsHOQ0QmF3fwrEOzryvnk9NVudg6zAXoDWxOJZcQ5CHViy80p/pq6hrmWyw0DACJTO5CarpXy1HOc+u6GlCB0bYcUEEqWKrevnilrjHL6/HVoNVHMQ0MkcmVCQvyajnyHPyN2DAi2/RqCWkJajnWE/kEX0xdw3yLhYoBIJHJxdQuq0b7ehJSLkiVo4I1+6LmD/PnOtOXTdw+UZUjMj1fTF3ji0GrD/OZAHD69OlSvXp1KVWqlDRr1kw2bdrksfzGjRtVOZSvUaOGzJw502H97NmzpX379lKuXDl169ixo2zfvt3gV0GUd/7+firViyftetVW5Sj/kELFuebPOQiMT4tX5YhMD30TMUDFzSwxV1PXxF4tZxa+GLT6MJ8IABcvXizDhw+XF198UXbt2qUCt65du8qxY8dclj98+LB069ZNlUP5MWPGyNNPPy1Lly61ldmwYYM88MADsn79etm2bZtUqVJFOnXqJCdOnCjEV0aUO8jzh1QvzjWBqPljChjvQP48b5YjKlLoI4dUL4pzEPjP/S4TzNWXzheDVh/mE4mgW7VqJU2bNpUZM2bYltWrV0/uvPNOGT9+fLbyI0eOlGXLlsn+/ftty4YMGSK//vqrCvZcyczMVDWB06ZNk4ce0nM9ecY8QlTYkOpFjQpOTVd9/tDsy5o/7/g5/mcZuGpgjuU+6vyRtIhu4aWtWhwTFBdRHsDYq8GfmVPXGJxvMZV5AM0/Cvjy5cuyY8cOGTXq6nyXOtTWbd3qeuJtBHlYb69z584yZ84cuXLlipQoUSLbY9LS0tS68uXLe/kVEHkPgj2mejEGZs7AaF8M+HDVDxBz62I9ypGFExT7Gl9KXWOfb9HluWHSoNVHmT4ATEpKUrVzUVGObf64Hx8f7/IxWO6qfEZGhnq+mBinRJ4iKsCMjY1VfQHdSU9PVzf7XxBEVDxg2jSkesFoXwR79kEg7gPm1uX0al7AXG+Fy1dS1/hq0OqjfKIPIPj5OfYJQMu187KcyrtaDm+//bYsXLhQvvzySzVoxB00N4eHh9tulStXzscrISKzQp6/STdPkshgx7mVUfOH5cwDWBi53uRqrjeOtrY2PWi97t6rfxn8Wa8GsGLFihIQEJCtti8hISFbLZ8uOjraZfnAwECpUKGCw/J3331Xxo0bJ2vXrpVGjRp53JfRo0fLiBEjHGoAGQQSFS8I8jpU7qBG+2LAR0RwhGr2Zc2fhRMUExVDpg8AS5YsqdK5rFmzRu666y7bcty/4447XD6mdevW8u233zosW716tTRv3tyh/98777wjb775pqxatUqty0lQUJC6EVHxnlYN+8eBHgZhrjciUzB9AAiodevXr58K0hDczZo1S6WAwchevWYO6Vvmz5+v7mM5RvPicYMHD1aDQjAABM289s2+L7/8snz22WdSrVo1W41hSEiIuhFRwXFaNcqGud6ITMEn+gD27t1bJk+eLK+//ro0btxYfvjhB1mxYoVUrVpVrY+Li3PICYiE0ViPXH8o/8Ybb8jUqVPlnnvucUgsjRHG9957rxoUot/QJExEBcdp1cgl5nojMgWfyANoVswjROS+2bfz0s5uZ9bQU6qsvGel6ZuDyXdzvRG5k8o8gL5RA0hEvoXTqlGucr2FOaXkQq43Bn9EhcIn+gASkW/htGqUI+Z6IypSDACJyOsw2teb5aiY8rUExUTFCJuAiciwadX0GTScYXl0cDSnVSMiKiIMAInIsGnVwDkI5LRqRERFjwEgWVZWVqYc37tH9m/ZqP7iPnkPp1UjIjIv9gEkSzr401ZZ9/EsOX8mybYspHxFuWXAo1K7VZsi3bfihNOqERGZE/MAFgDzCPlu8Lds0ji3628fMYZBIBFRMZbKPIBsAiZrQTMvav48WT9vlmmbg7XMTLnw03ZJWf5f9Rf3iYiI8opNwGQpJ/bvdWj2deXc6SRVrnKDRmImqatXy6lx4yXjn3mrITA6WqLGjJawTp2KdN+IiMi3cBAIWcr5s8leLVeYwd+JYcMdgj/IOHVKLcd6IiKi3GIASJYSUracV8sVBjTzouZPXE3b/c8yrGdzMBER5RYDQLKU2HoN1GhfT0IrVFTlzCLtlx3Zav4caJpaj3JERES5wQCQLMXfP0ClevGkQ/9HVTmzyEhM9Go5IiIiBoBkOcjzh1QvIeUrOCwPqVDRlClgAiMivFqOiIiIo4DJkvxL1pKSYY9IicuHRLQLIn5lpGRoDbXcbIKbN1OjfTHgw2U/QD8/CYyKUuXIS5AG6OhWkfOnREKiRKq2ETFRrTARUUExACTL+WtXgqz84Hf1/4ASlW3L01KuqOVdHmsoNZtEiln4BQSoVC8Y7YtgzyEIxH0RtR7lyAv2LRNZOVIk9eS/y8IqiXSZKFL/dh5iIioW2ARMlpKVpcmmxQc9ltn8+UFVzkyQ5y92ymRV02cP97GceQC9GPx9/pBj8AepcVeXYz0RUTHAGkCylLiDZ+XC2XSPZc4np6tysXXMkwoGEOSF3nrr1VHBiYmqzx+afVnz58VmX9T8iavgH8v8RFaOEqnbnc3BROTzGACSpVxITfdqucKGYK9Mq5ZFvRvFE/r8Odf8OdBEUk9cLVe9fSHuGBGR97EJmCylTFiQV8tRMYIBH94sR0RkYgwAyVJiapeVMmU9B3ch5YJUObIYjPb1ZjkiIhNjAEiW4u/vJ+171/ZYpl2v2qocWQxSvWC0L/r6ueQnEhZ7tRwRkY9jAEiWgxQvSPXiXBOImj+zpYChQoQ8f0j1ojgHgf/c7zKBA0CIqFjw0zRXmWUpN1JTUyU8PFxSUlIkLCyMB83HINWLGhWcmq76/KHZlzV/5DoPYOzV4I95AImKhVR+f3MUMFkXgj2zpXrJSWZWpuxM2CmJaYkSERwhTSObSgBnqPAuBHlI9eJrM4Fw9hIiygOmgSHyEWuPrpUJ2yfIqbR/R6FGBUfJqJajpGPVjkW6b8UOgj1fSvXC2UuIKI/YB5AsS8vMlAs/bZeU5f9Vf3HfrBD8jdgwwiH4g4S0BLUc68miOHsJEeUDawDJklJXr5ZT48ZLRny8bVlgdLSaU9ds06qh2Rc1f5qLGSqwzE/8ZOL2idKhcgc2B1sNZy8honxiDSBZMvg7MWy4Q/AHGadOqeVYbybo8+dc8+ccBManxatyZDF5mb2EiMgOA0CyFDTzoubP5eB3TVPL1XoTNQdjwIc3y1ExwtlLiCifGACSV2RlZcrxvXtk/5aN6i/um1HaLztUzZ+HVL9qPcqZBUb7erMcFSOcvYSI8ol9AKnADv60VdZ9PEvOn0myLQspX1FuGfCo1G5lrlkTLiecynW5MmIOSPWC0b4Y8OGqHyD6AGI9ypFFZy9Jjbva3Oty9pJKnL2EiLJhDSAVOPhbNmmcQ/AHuI/lWG8mhwOTvVquMCDPH1K96MGePf3+yJYjOQDEijh7CRHlEwNAyjc086Lmz5P182aZqjk4vlZ5SQoVyXKzHsuxHuXMBHn+Jt08SSKDHaepQ80fljMPoMUTV/eaLxIW47gcNX9YztlLiMgFNgFTvp3YvzdbzZ+zc6eTVLnKDRqZ4khHhEbJzNv85dkvs1SwZ/8LCPdRn/bxbf4yJDRKzAZBHlK9cCYQKjazlxBRkWEASPl2/myyV8sVBvSTO9okRiZJvPRfkykVz/277kyoyLzbAuRYkxjT9qdDc3CL6BZFvRtkRr42ewkRFSkGgJRvIWXLebVcYfanG5E2Qn6u7Sd1j2dJufMiySEi/6vsL5q/n0wyc386zvdKRERewACQ8i22XgM12tdTM3BohYqqnBn702F2jX1V/x0VHB0crQZTmLY/Hed7JSIiL/HTXGbEpdxITU2V8PBwSUlJkbCwMEuPAnbn9hFjTJcKxn6KNZ/pT6fP95ot1cc/o4LN3NmftZZEZDKp/P5mDSAVDIK7qv16yP+WfCulL/6bouRiaU3q3tvTtMGfT/Wn8+X5XllrSURkSmwCpgJZe3StvH56uvjdJFLv7+oSerG0nCt9Uf53zRHJOj1dyh6tZd4m1eI436uZBgG4q7VE0mIsN3OtJRFRMccAkArUhIp+dNVOXydtj9wtIZf/HezRJDFZtlb7SiZun6hSl5i2adUX+OJ8r75ca0lEZAFMBE35hv5zwcejpNMfA6XM5bIO63D/tj8eltLHI1U5sth8r3mptSQiokLHAJDyLeF8oqr58zRFWZsjd6ty5IX5Xp2Osf3RlrBYc8336ou1lkREFsIAkPKtVGI51ezrHPzpsDz0cjlVjiw236sv1loSEVkIA0DKt1ip4tVyVIzme/XFWksiMo3MLE22/XVavtl9Qv3FffIuDgKh/J88p47moVwsj7SV5nvVay3VKGAEgZr5ay2JyBRW/h4nr327T+JSLtmWxYSXkld71pcuDZ1+BFO+sQaQ8q1CQLIEXUoWcZdLXNMk6NIZVY68PN/rdfde/WvmAMrXai2JyBTB3+Of7nQI/iA+5ZJajvXkHawBpHwrGRkhtf+cJL83GHw1CPSza+77Jyis/ecSKRk5gkfZqnyp1pKIihSaeVHz5yF5lFp/W/1oCfB3172EcosBIOVbcPNmUinwlMi+D+VgzXslvdS/gz2C0pOl9l9L1XqUIwvTay2JiDzYfvhMtpo/5yAQ61Gudc0KPJYFxACQ8s0vIECixoyWjGHDJSJpj5wNrynpJcMk6HKqlE35S/xEk6gpk1U5IiIiTxLOXfJqOfKMfQCpQMI6dZLYKZOlRFSklDt7UKITdqi/uI/lWE9ERJSTyNBSXi1HnrEGkAoMQV7orbdK2i87JCMxUQIjIlSzL2v+yJf7IqGZCTUN+LJpWb08+xwRGQyfM4z2xYAPV/0A0esvOvzq55EKjgEgeQWCvTKtWvJoks9jCgqiooGBHUj1gtG+bpJHqfUcAOIdbAImIvoHU1AQFS3k+ZvxYFNV02cP97GceQC9hzWA5B1ZmUz1UQjYNGnssWUKCqKihyAPqV7YDcNYDABNKDMrU3Ym7JTEtESJCI6QppFNJcDMedP2LRNZOVIk9aRjsl/MBMFkv17DpkljMQUFkXmgmZepXozFANBk1h5dKxO2T5BTaadsy6KCo2RUy1HSsWpHMWXwp6b7cuqymxp3dTlnfPBq06Rzx2g9Oz6bRgqOKSiIyErYB9Bkwd+IDSMk4cIpiT4dJNVPBqu/iRcS1HKsN12zL2r+3OZtR+Qy6mo5MqxpErCek6UXDFNQEJGVsAbQRM2+qPmrHF9KWu0rL2Uu/fvWXCiVIdvrJ8vE7ROlQ+UO5mkOxvRe9s2+2WgiqSeuluNMEPnGpsnC4espKNg/lIjyggGgSaDPX9ChVOmwMyLbuuBLAXLzzoqyXhJVuRbRLcQUMLerN8uRS2yaLBy+nIKC/UOJKK/YBGwSCedPqZo/8LN93YjD/Zb7yqtyphES5d1yhQ1N04c3ify25OpfkzZVs2my8PhiCgqmriGi/GANoEmUjLvo0OzrDEFgyKVAVU5qiTlUbXN1tC8GfLhrNMN6lDMbHxq57OtNk77Gl1JQMHUNEeUXawBNIkar4NVyhQJ9EREwKc5fjv/c7zLhajkzjlx27r+oj1zGehM2TXo4yqZtmvT1FBR3NI5Vf816bPPSP5SIyB4DQJP4O72kV8sVGtSWIdVLmFPTGGrTzJgCxkdHLvti0yQZj/1DiajYB4DTp0+X6tWrS6lSpaRZs2ayadMmj+U3btyoyqF8jRo1ZObMmdnKLF26VOrXry9BQUHq71dffSVF5VKFqnLRv4zHMhcDQlQ500GQN/x3kf7LRe6Zc/Xv8N/MF/zldeSyySDI2zzyFlk4+AaZcn9j9Rf3zR78oZly21+n5ZvdJ9RfpqvxHvYPJaJi3Qdw8eLFMnz4cBUEtm3bVj744APp2rWr7Nu3T6pUqZKt/OHDh6Vbt24yePBg+fTTT2XLli0ydOhQiYiIkHvuuUeV2bZtm/Tu3VveeOMNueuuu1Tw16tXL9m8ebO0atWq0F9jZGhpCQ5uJ9r5VW7LBJduq8qZEpp5fSHVi4+PXPa17PgcnWos9g8lovzy0zTNVVuYqSAga9q0qcyYMcO2rF69enLnnXfK+PHjs5UfOXKkLFu2TPbv329bNmTIEPn1119V4AcI/lJTU+W7776zlenSpYuUK1dOFi5cmKv9wuPDw8MlJSVFwsLCCvQaj+1Lkm+n7pHMywflStp6Ee38vyv9QqVE8M0SULK29Hy6kVSpX7FA27I0jPad1yPncqjF9IWA1gdnL9F707Hp2rvHWdykruFxJjL2+9tXmb4J+PLly7Jjxw7p1KmTw3Lc37rVdTMdgjzn8p07d5ZffvlFrly54rGMu+c02qXDe9VfBHlB4Y9IiZD7pESZbupvUPggtdy+HOVT1TZysXS0ZLn52YPlWG/Kkcs+hLOXFB72DyWiYtkEnJSUJJmZmRIV5ZhLDvfj4+NdPgbLXZXPyMhQzxcTE+O2jLvnhPT0dHWz/wXhLWUCkjFyQv3fz89fAkpU9lCO8itT/OW1Kw/JOHlbBXv2gzv1oBDr3xJ/MdnYZZ/C2UsKly+lriEiczB9DaDOz8/xQoaWa+dlOZV3Xp7X50RzM6qM9Vvlyq6DtPyIqV1eyvgnIQxxUyJLQvwTVTnKP3xBLjrfWB6/MlzixfFYxksFtRzrmTajYDg6tfD5SuoaIjIH09cAVqxYUQICArLVzCUkJGSrwdNFR0e7LB8YGCgVKlTwWMbdc8Lo0aNlxIgRDjWA3goC/au3lfZRfWVl3OB/gkD72Bz3/aRd1NfiX/1Tr2zP6oHJqqyWsia9ubT0/59EyllJkLKyPauuZP1z3HMbwJBrHJ1KRGRupq8BLFmypErnsmbNGofluN+mjet+Wq1bt85WfvXq1dK8eXMpUaKExzLunhOQLgadRe1vXuMfIDXv6yNdyr4tZfwdk7aG+J9Wy2ve94D5kir7cGCCYO/HrPqyLKuN+qsHf87lKP+jU93VQWE51nP2EiKiomH6GkBArVu/fv1UAIfAbdasWXLs2DE1slevmTtx4oTMnz9f3cfyadOmqcchFQwGfMyZM8dhdO+wYcPkxhtvlIkTJ8odd9wh33zzjaxdu1algSky9W+Xmg+JVP9ulMQllZULWeWkjH+yxFRMEf+u482ZV8/HMG1G4c5egtGpfm5Gp3L2EsJgIfZbJCoaPpEGBpAD8O2335a4uDhp2LCh/N///Z8K4GDAgAFy5MgR2bBhg0Mi6GeeeUb27t0rlSpVUqlh9IBRt2TJEnnppZfk0KFDUrNmTXnrrbfk7rvvLvph5JiFAomIkYsuJOrqiFTW/HkN02YUHuYBJJ4bRY+BdnapTAPjOwGgGfEE8l0MTAoPv3zI1eePOSILB691rqUyAGQAaMYTSMvMlLRfdkhGYqIERkRIcPNm4hfAvn/exsCEqGg+d+0mrpO4FNcDrfz+meMa0xxyJHPBMNB2L5UBoG/0AbSS1NWr5dS48ZJhN0I5MDpaosaMljCnxNVkrWnViIoD5og0RzJ2BNpYj/yRDLStyfSjgK0W/J0YNtwh+IOMU6fUcqwnIvJlzBFpvkCbrIkBoEmg2Rc1f+KqS+Y/y7Ae5YiIfBVzRBYOBtqUEwaAJqH6/HmYhg5BINajHBGRr2KOyMLBQJtywgDQJDDgw5vliIjMnCMSnBOFM0ek9zDQppwwADQJjPb1ZjkiIrPq0jBGZjzYVI32tYf7WI71VDAMtCknzANokmHk6Nv3560d1YAPl/0A/fwkMCpKan2/lilhiKhYYCom4zEPoGupTAPDANBMJ5A+ClixDwL9rjaMxE6ZbNpUMLyQExGZE6/P2aUyAGQeQDNRwd2UydnzAEZFmToPIH9hEhGZF3OekitsAi4AzgTCTPNEZC2sTSseUlkDyBpAM8K0b2VatRSzY6Z5IrIStnZQccJRwJRvzDRPRFabV9d5do34lEtqOdYT+RIGgJRvzDRPRFaQU2sHYD3KEfkKBoCUb8w0T0RWwNYOKo4YAFK+MdM8EVkBWzuoOGIASPnGTPNEZAVs7aDiiAEgFQindCKi4o6tHVQcBRb1DlDxCAJvqx+t+smgqQS/lnHBRA0hEVFxae3AaF9c1eyHeuhXOaznNY98CRNBFwATSRIRWQfzABYfqUwEzRpAIiKi3GBrBxUnbAImIiLKJc6rS8UFB4EQERERWQwDQCIiIiKLYQBIREREZDEMAImIiIgshgEgERERkcUwACQiIiKyGAaARERERBbDAJCIiIjIYhgAEhEREVkMZwIpAE3TbHMKEhERkW9I/ed7W/8etyIGgAVw7tw59bdy5creej+IiIioEL/Hw8PDLXm8/TQrh78FlJWVJSdPnpTQ0FDx8/Pz+q8TBJbHjx+XsLAwrz438TgXNp7PPM7FCc9n3z/Omqap4K9SpUri72/N3nCsASwAnDTXXHONGAknPQNA4/E4Fw4eZx7n4oTns28f53CL1vzprBn2EhEREVkYA0AiIiIii2EAaFJBQUHy6quvqr/E4+zreD7zOBcnPJ95nIsDDgIhIiIishjWABIRERFZDANAIiIiIothAEhERERkMQwAiYiIiCyGAWAhmT59ulSvXl1KlSolzZo1k02bNnksv3HjRlUO5WvUqCEzZ87MVmbp0qVSv359NSINf7/66iuxOm8f59mzZ0v79u2lXLly6taxY0fZvn27WJ0R57Nu0aJFamadO++8U6zOiON89uxZeeKJJyQmJkaVq1evnqxYsUKszohjPXnyZKlTp46ULl1azWjxzDPPyKVLl8TK8nKc4+LipE+fPuoYYuKF4cOHuyzH78J8wlRwZKxFixZpJUqU0GbPnq3t27dPGzZsmFamTBnt6NGjLssfOnRICw4OVuVQHo/D45csWWIrs3XrVi0gIEAbN26ctn//fvU3MDBQ+/HHHy37dhpxnPv06aO9//772q5du9Rxfvjhh7Xw8HDt77//1qzKiOOsO3LkiBYbG6u1b99eu+OOOzQrM+I4p6ena82bN9e6deumbd68WR3vTZs2abt379aszIhj/emnn2pBQUHaggULtMOHD2urVq3SYmJitOHDh2tWldfjjOP29NNPa/PmzdMaN26syjvjd2H+MQAsBC1bttSGDBnisKxu3braqFGjXJZ/4YUX1Hp7jz32mHbDDTfY7vfq1Uvr0qWLQ5nOnTtr999/v2ZVRhxnZxkZGVpoaKi6IFmVUccZx7Zt27bahx9+qPXv39/yAaARx3nGjBlajRo1tMuXL+fy3bYGI471E088od1yyy0OZUaMGKG1a9dOs6q8Hmd7N910k8sAkN+F+ccmYINdvnxZduzYIZ06dXJYjvtbt251+Zht27ZlK9+5c2f55Zdf5MqVKx7LuHvO4s6o4+wsLS1NrStfvrxYkZHH+fXXX5eIiAgZNGiQWJ1Rx3nZsmXSunVr1QQcFRUlDRs2lHHjxklmZqZYlVHHul27dup59S4jhw4dUk3t3bt3FyvKz3HODX4X5l9gAR5LuZCUlKQurrjY2sP9+Ph4l4/BclflMzIy1POh7467Mu6es7gz6jg7GzVqlMTGxqq+gFZk1HHesmWLzJkzR3bv3m3o/lv9OCMIWbdunfTt21cFIwcPHlTBIMq88sorYkVGHev7779fEhMTVSCI1jase/zxx9U1xIryc5xzg9+F+ccAsJCgU7s9XBCcl+VU3nl5Xp/TCow4zrq3335bFi5cKBs2bFAdmK3Mm8f53Llz8uCDD6oBNxUrVjRoj32Tt8/nrKwsiYyMlFmzZklAQIDqhH/y5El55513LBsAGnWscZ1466231KCHVq1ayZ9//inDhg1TweHLL78sVmXE9xa/C/OHAaDB8IWGC63zL5yEhIRsv4R00dHRLssHBgZKhQoVPJZx95zFnVHHWffuu++qprK1a9dKo0aNxKqMOM579+6VI0eOSM+ePW3rEagAyhw4cEBq1qwpVmLU+Yzgo0SJEuq5dRgFjMehia5kyZJiNUYdawR5/fr1k0ceeUTdv+666+TChQvy6KOPyosvvqhGtVpJfo5zbvC7MP+sdQYWAVxQ8St7zZo1Dstxv02bNi4fgz46zuVXr14tzZs3VxdvT2XcPWdxZ9RxBtSOvPHGG7Jy5Uq1zsqMOM5169aV3377TTX/6rfbb79dOnTooP6P9BlWY9T53LZtW1UTpQfY8Mcff6jA0IrBn5HHGv2FnYM8BED/DL4Uq8nPcc4NfhcWQAEGkFAeh77PmTNHDX1HGgAMfUcKBsAIqH79+mVLMfDMM8+o8nicc4qBLVu2qDQwEyZMUOlJ8JdpYLx/nCdOnKiVLFlSLYuLi7Pdzp07Z9nz34jz2RlHARtznI8dO6aFhIRoTz75pHbgwAFt+fLlWmRkpPbmm29qVmbEsX711VdVxoCFCxeq8qtXr9Zq1qypRq1aVV6PMyAFF27NmjVTabnw/71799rW87sw/xgAFhLkkqtataoKJpo2bapt3LjR4csOQ9ztbdiwQWvSpIkqX61aNZW+wdkXX3yh1alTR32gMJR+6dKlmtV5+zjjufA7yfmGi7uVGXE+22MAaNxxRt60Vq1aqRx1SAnz1ltvqRQ8VuftY33lyhVt7NixKugrVaqUVrlyZW3o0KFacnKyZmV5Pc6urr94vD1+F+aPH/4pSA0iEREREfkW9gEkIiIishgGgEREREQWwwCQiIiIyGIYABIRERFZDANAIiIiIothAEhERERkMQwAiYiIiCyGASARERGRxTAAJCKfMHbsWGncuHGRbf/ll1+WRx99tEDPsWHDBvHz85OzZ8/m+jHPPfecPP300wXaLhGRM84EQkRFDkGRJ/3795dp06ZJenq6VKhQQQrbqVOnpHbt2rJnzx6pVq1avp/n8uXLcubMGYmKisrxNesSEhKkZs2aatvVq1fP97aJiOwxACSiIhcfH2/7/+LFi+WVV16RAwcO2JaVLl1awsPDi2jvRMaNGycbN26UVatWFcn277nnHqlVq5ZMnDixSLZPRMUPm4CJqMhFR0fbbgj0UDvmvMy5CXjAgAFy5513quAMNWply5aV1157TTIyMuT555+X8uXLyzXXXCMfffSRw7ZOnDghvXv3lnLlyqnaxDvuuEOOHDnicf8WLVokt99+u8Oym2++WZ566ikZPny4ei7sw6xZs+TChQvy8MMPS2hoqKq5++6779w2AX/88cdqvxFY1qtXT0JCQqRLly4SFxfnsC1se+HChQU6xkRE9hgAEpHPWrdunZw8eVJ++OEHmTRpkgoSe/TooQKyn376SYYMGaJux48fV+XT0tKkQ4cOKtDCYzZv3mwLutA860pycrL8/vvv0rx582zr5s2bJxUrVpTt27erYPDxxx+X++67T9q0aSM7d+6Uzp07S79+/dR23cG6d999Vz755BO1T8eOHVP9/uy1bNlSvYajR48W+JgREQEDQCLyWajlmzp1qtSpU0cGDhyo/iKgGjNmjOqzN3r0aClZsqRs2bLFVpPn7+8vH374oVx33XWq1m3u3Lkq6ELtnCsIujRNk0qVKmVbd/3118tLL71k2xaaqhEQDh48WC1DU/bp06dV/z13rly5IjNnzlQBZtOmTeXJJ5+U77//3qFMbGys+ptTTSURUW4F5rokEZHJNGjQQAV0OjTDNmzY0HY/ICBANfNiIAXs2LFD/vzzT9U8a+/SpUvy119/udzGxYsX1d9SpUplW9eoUaNs20Jgab8/oG/fleDgYNVUrIuJiclWHoEleKpJJCLKCwaAROSzSpQo4XAf/etcLcvKylL/x99mzZrJggULsj1XRESEy22gRk9vCnYuk9P29ZG++vZz+xpQ42gPI4c97SMRUV4xACQiy0ATK0YZR0ZGSlhYWK4eg9o5lN23b59ce+21UhTQBxGBImo8iYi8gX0Aicgy+vbtq2r0MPJ306ZNcvjwYZXeZdiwYfL333+7fAyamDt27KgGjBQV7Gv79u1tTcFERAXFAJCILAP97TDStkqVKnL33XerQSAYPIJ+fp5qBDEDCAaQeGrKNRJSwGBgCRGRtzARNBFRDtAn74YbblA5/x544IFCPV7//e9/VV5DjCQODGSvHSLyDtYAEhHlAAMzkOQZSaYLGxJLI1UNgz8i8ibWABIRERFZDGsAiYiIiCyGASARERGRxTAAJCIiIrIYBoBEREREFsMAkIiIiMhiGAASERERWQwDQCIiIiKLYQBIREREZDEMAImIiIjEWv4fFGuysWib3gwAAAAASUVORK5CYII=",
      "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 src='data:image/png;base64,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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(A0B0.time, A0B0.conc, 'o', label='A=B=0 mM')\n",
    "ax.plot(A8B15.time, A8B15.conc, 'o', label='B = 1.5 mM')\n",
    "ax.plot(A8B3.time, A8B3.conc, 'o', label='B = 3 mM')\n",
    "ax.plot(A8B6.time, A8B6.conc, 'o', label='B = 6 mM')\n",
    "ax.plot(A8B12.time, A8B12.conc, 'o', label='B = 12 mM')\n",
    "ax.plot(A8B24.time, A8B24.conc, 'o', label='B = 24 mM')\n",
    "plt.legend(loc='best')\n",
    "ax.set_ylabel('[NADH] mM')\n",
    "ax.set_xlabel('Time (min)')\n",
    "ax.set_title('Scatter plot of [NADH] over time at different [B] with [A] = 8 mM')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "bbc835ee-c98d-465b-bf94-f2a444904a03",
   "metadata": {},
   "outputs": [],
   "source": [
    "plt.close('all')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "09af7c13-3cf4-4f19-9162-d5d802512bfc",
   "metadata": {},
   "source": [
    "Question 2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "e2de47ef-4421-496d-863e-31da6115ef0e",
   "metadata": {},
   "outputs": [],
   "source": [
    "#linear regressions and initial rates\n",
    "\n",
    "#B constant:\n",
    "A05 = sp.stats.linregress(A05B24.time, A05B24.conc).slope\n",
    "A1 = sp.stats.linregress(A1B24.time, A1B24.conc).slope\n",
    "A2 = sp.stats.linregress(A2B24.time, A2B24.conc).slope\n",
    "A4 = sp.stats.linregress(A4B24.time, A4B24.conc).slope\n",
    "A8 = sp.stats.linregress(A8B24.time, A8B24.conc).slope\n",
    "\n",
    "#A constant\n",
    "B15 = sp.stats.linregress(A8B15.time, A8B15.conc).slope\n",
    "B3 = sp.stats.linregress(A8B3.time, A8B3.conc).slope\n",
    "B6 = sp.stats.linregress(A8B6.time, A8B6.conc).slope\n",
    "B12 = sp.stats.linregress(A8B12.time, A8B12.conc).slope\n",
    "B24 = sp.stats.linregress(A8B24.time, A8B24.conc).slope\n",
    "\n",
    "#Control both A and B = 0\n",
    "AB = sp.stats.linregress(A0B0.time, A0B0.conc).slope"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2a6afc23-d9f9-4bad-8033-0bad9402b9ff",
   "metadata": {},
   "source": [
    "Question 3"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "a6b34491-727a-45cb-a1bf-0e876d55f696",
   "metadata": {},
   "outputs": [],
   "source": [
    "rates = np.array([AB, A05, A1, A2, A4, A8, B15, B3, B6, B12, B24])\n",
    "a = np.array([0, 0.5, 1, 2, 4, 8, 8, 8, 8, 8, 8])\n",
    "b = np.array([0, 24, 24, 24, 24, 24, 1.5, 3, 6, 12, 24])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "ecb03a8d-7eb9-4aee-9020-dd85d13a77da",
   "metadata": {},
   "outputs": [],
   "source": [
    "df = pd.DataFrame({'a' :a, 'b':b, 'rate':rates})"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "0699faa4-7899-4a73-b8d0-7e236e79e191",
   "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>0.004955</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>0.5</td>\n",
       "      <td>24.0</td>\n",
       "      <td>0.241187</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>1.0</td>\n",
       "      <td>24.0</td>\n",
       "      <td>0.352630</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>2.0</td>\n",
       "      <td>24.0</td>\n",
       "      <td>0.574650</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>4.0</td>\n",
       "      <td>24.0</td>\n",
       "      <td>0.732286</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>8.0</td>\n",
       "      <td>24.0</td>\n",
       "      <td>0.825079</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>8.0</td>\n",
       "      <td>1.5</td>\n",
       "      <td>0.254221</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>8.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>0.367954</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>8.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>0.556409</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>8.0</td>\n",
       "      <td>12.0</td>\n",
       "      <td>0.701204</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>8.0</td>\n",
       "      <td>24.0</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  0.004955\n",
       "1   0.5  24.0  0.241187\n",
       "2   1.0  24.0  0.352630\n",
       "3   2.0  24.0  0.574650\n",
       "4   4.0  24.0  0.732286\n",
       "5   8.0  24.0  0.825079\n",
       "6   8.0   1.5  0.254221\n",
       "7   8.0   3.0  0.367954\n",
       "8   8.0   6.0  0.556409\n",
       "9   8.0  12.0  0.701204\n",
       "10  8.0  24.0  0.825079"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7e548753-b6ef-4b11-89f7-7d4ae8f88b28",
   "metadata": {},
   "source": [
    "Question 4"
   ]
  },
  {
   "attachments": {
    "d7d89a95-8920-4a2a-80f5-b5701e24075b.png": {
     "image/png": "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"
    }
   },
   "cell_type": "markdown",
   "id": "caf519d8-7fa9-419a-98a8-e5b04109229c",
   "metadata": {},
   "source": [
    "![image.png](attachment:d7d89a95-8920-4a2a-80f5-b5701e24075b.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "2b3b74e5-6ae2-408a-960b-30d46d3648eb",
   "metadata": {},
   "outputs": [],
   "source": [
    "def v(Vf, a, b, Ka, Kb):\n",
    "    return (Vf*a*b)/((Ka+a)*(Kb+b))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "4165ec6a-cf7d-4d1f-bcc5-c06199123305",
   "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'>25</td></tr><tr><td style='text-align:left'># data points</td><td style='text-align:right'>11</td></tr><tr><td style='text-align:left'># variables</td><td style='text-align:right'>3</td></tr><tr><td style='text-align:left'>chi-square</td><td style='text-align:right'> 0.00253344</td></tr><tr><td style='text-align:left'>reduced chi-square</td><td style='text-align:right'> 3.1668e-04</td></tr><tr><td style='text-align:left'>Akaike info crit.</td><td style='text-align:right'>-86.1367967</td></tr><tr><td style='text-align:left'>Bayesian info crit.</td><td style='text-align:right'>-84.9431108</td></tr><tr><td style='text-align:left'>R-squared</td><td style='text-align:right'> 0.99650938</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'>Vf</td><td style='text-align:left'> 1.19714513</td><td style='text-align:left'> 0.03577186</td><td style='text-align:left'>(2.99%)</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'>Ka</td><td style='text-align:left'> 1.59537395</td><td style='text-align:left'> 0.11800355</td><td style='text-align:left'>(7.40%)</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'> 4.84407985</td><td style='text-align:left'> 0.35871014</td><td style='text-align:left'>(7.41%)</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'>Vf</td><td style='text-align:left'>Kb</td><td style='text-align:right'>+0.7587</td></tr><tr><td style='text-align:left'>Vf</td><td style='text-align:left'>Ka</td><td style='text-align:right'>+0.7557</td></tr><tr><td style='text-align:left'>Ka</td><td style='text-align:left'>Kb</td><td style='text-align:right'>+0.2799</td></tr></table>"
      ],
      "text/plain": [
       "<lmfit.model.ModelResult at 0x24fc5863380>"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "model = Model(v, independent_vars=['a', 'b'])\n",
    "params = model.make_params(Vf=1, Ka=1, Kb=1)\n",
    "fit = model.fit(df.rate, params, a=df.a, b=df.b)\n",
    "fit\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "a1dda4e3-476d-4c31-b14e-42ebd2c2b5fb",
   "metadata": {},
   "outputs": [],
   "source": [
    "Vf = 1.19714513\n",
    "Ka = 1.59537395\n",
    "Kb = 4.84407985"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "feab392a-6ab2-4967-8517-7057e6173196",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Vf = 1.19714513 mM/min \n",
      " standard error = 0.03577186\n",
      "\n",
      "Ka = 1.59537395 mM\n",
      "standard error = 0.11800355\n",
      "\n",
      "Kb = 4.84407985 mM\n",
      "standard error = 0.35871014\n",
      "\n"
     ]
    }
   ],
   "source": [
    "print('Vf = 1.19714513 mM/min \\n standard error = 0.03577186\\n')\n",
    "print('Ka = 1.59537395 mM\\nstandard error = 0.11800355\\n')\n",
    "print('Kb = 4.84407985 mM\\nstandard error = 0.35871014\\n')\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "90722265-7f8c-4a51-91ab-4a9e9e3d04ea",
   "metadata": {},
   "source": [
    "Question 5"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "9949d79d-c63b-4376-9362-670c874528ee",
   "metadata": {},
   "outputs": [],
   "source": [
    "fitted_rates_Bfix = v(Vf, df.a[1:6], 24, Ka, Kb)\n",
    "fitted_rates_Afix = v(Vf, 8, df.b[6:11], Ka, Kb)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "ee2ba859-1be6-423d-986d-fdbf95b3477a",
   "metadata": {},
   "outputs": [],
   "source": [
    "plt.close('all')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "45571e5a-c0e8-46ca-852b-bc903f191fe3",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'Initial rates of fitted and actual data at constant [B] = 24 with varied [A]')"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "c82aaa6a6be44412bdee680a00622e46",
       "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 src='data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAoAAAAHgCAYAAAA10dzkAAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjEwLjgsIGh0dHBzOi8vbWF0cGxvdGxpYi5vcmcvwVt1zgAAAAlwSFlzAAAPYQAAD2EBqD+naQAAed1JREFUeJzt3QV81PUbB/DPOtnG2OgxYHQMRkqXooS0IBigoCKCIhYYfxQVbMEARAlRBCREpLtFanTDYMRgMFiw3u7+r+d73Lglt7Ht6vN+vQb3+11971f33PMtO61WqwURERER2Qx7UxeAiIiIiIoXA0AiIiIiG8MAkIiIiMjGMAAkIiIisjEMAImIiIhsDANAIiIiIhvDAJCIiIjIxjAAJCIiIrIxDACJiIiIbAwDQCIiIiIbwwCQiIiIyMYwACQiIiKyMQwAiYiIiGwMA0AiIiIiG8MAkIiIiMjGMAAkIiIisjEMAImIiIhsDANAIiIiIhvDAJCIiIjIxjAAJCIiIrIxDACJiIiIbAwDQCIiIiIbwwCQiIiIyMYwACQiIiKyMQwAiYiIiGwMA0AiIiIiG8MAkIiIiMjGMAAkIiIisjEMAImIiIhsDANAIiIiIhvDAJCIiIjIxjAAJCIiIrIxDACJiIiIbAwDQCIiIiIbwwCQiIiIyMYwACQiIiKyMcUWAM6ZMwd2dnbYt29fgZ4vz/3www8zlo8fP66WL1y4kO2xQ4YMQeXKlQv0Pg/y3PxatWpVps9krr7//ntUq1YNzs7Oaj9ER0fn+tiFCxeibt26cHNzU489ePCg+oxy29DUqVPVMZHV1atX1ePleUV1DOZ0zJiKHGtyzBWnP/74A5MnTy6W99qyZYva5vJ/ce8zU59fRXksF7fczteisGvXLrXd8rrOGGrfvr06RuSve/fume7Tr9f/eXh4oHbt2vjoo48QHx+f6bGjR4/OeJynpyeK0y+//IJevXqp64FcO+V6+/LLLyMiIiLP512/fh2lSpVSZV68eHGRlS8/13D9OV+U5THn74QPc9hWOZF9rT/eRo4cmeNjjhw5ou53cnLK9ViQ40b/OvXq1bPODOC///6LYcOGZQoA5STOacd98MEH+Ouvv2Du5AtKPoM5ky+vV199FR06dMCmTZvUfihRokSOj71x4waeeeYZBAUFYc2aNeqxNWrUUPtNbhsbAMo2sYYvTXNVnAGgLZ9f1nQsF3cAKNvN2ABQhISEqGvM119/ne2+fv36qfvk7++//1bLEyZMwLPPPpvpca+//rp6TNeuXVHcxo8fr4LOiRMnqmvn22+/jRUrVqBx48YqyMvNK6+8AldX1yIvX36u4ZakW7du6nOVK1fOJO8vx5q8/5tvvpnrDwORlpaGuXPn5viYL774Qr2GnAP55QgL8dBDDxn9WAlATCEhIQHu7u6wJseOHVP/v/DCC2jWrFmejz19+jRSU1Px9NNPo127dhnrZZtUrFixyMtKRLbJy8sr1++IMmXKZLrv4YcfxsWLFzFv3jwkJSVlBFCBgYHqz9/fH8UtNDQUpUuXzliW62ejRo3QtGlT/Pzzz3j//fezPWfJkiVYu3YtfvzxRwwePLhIyyfXb2u6hicmJqr9LvvaFPtbT947t+M2OTlZHaMNGjTAzZs3MWvWLLzzzjvZHidJFv05II+zmAygVH3Jr56zZ8+qSFhuBwQE4I033lAfPrcqYPnV8cQTT6jbkpnSpz/1v0ZyqsaVk6Rt27bqJJNqgPr166vIWQKWgpBqB0m3btu2DS1btlRBzvPPP59RDdq5c2f1q0LS+VLlMHbs2ExVDlJGKZP+s+n/9BlNrVarfmE1bNhQvUbJkiXVL9fz589nu3BItYd8LhcXF5QvX179qrl8+fJ9P4McUHJwyYng6+uL3r1748SJE5k+owRzonnz5qp8uVVXyvrWrVur2wMGDFCPlefnlBKXfSOB5datWzM+t6yTqgO54Innnnsu4z7DajxpQtCjRw9VXim3/Or5888/s5Vn9+7daNWqlXqMbJNx48YZva/lPZ588smM6hj5f+DAgepLI6fqg82bN6vqGj8/P1Ud06dPH5X9MSTvLb/qy5Ytq44V2VZ79uyBsSQjIvtAPrec6PLlMHPmTHWc5JTha9GihTqf5E+OIXmskH2ycuVK9VkMj7u8qmvlmDQ8v/KzjfLD2H1WGOfXg1wP5Holx2f16tXVvqxQoQIef/xxVV2jZ8yxnJMrV67gxRdfVNdBaXIh20HOe8MsUHh4uDov9ee8fH7JfGk0mmz77KuvvsI333yDKlWqqGNBjgvZzobkmiL7Ut5LXk8Cpk6dOmVkLnM7X4UEUHK9lmPM29tbHZ/yHpJpy0pf1fXbb7+pMsu2k+uPZLr0ZPu89dZb6raUWf9+BW1CkBspq7yug4MDzIFh8Kcn2T8p36VLl7Ldd+vWLZX9+/TTT1GpUiWj3kOuFbJv5Xl66enp6rvF3t4+0zEmx4yjo2NGFtbYa7ghOZfee+89dVzJNUsC71OnTuVZxmXLlqnX2rhxY7b7pk2bpu47fPhwga7T69atU9/REnTJsZecnJxrFfCGDRvUOSDllsfKdSmnMsm1VI59OW/keJXzrbDItoiKilLZVwnwJcGyY8cOFCaTZwDlIJEv9KFDh6oLiQRUH3/8sTpB//e//+X4HAlwJFX+7rvvqgu5fBneL/N37tw5DBo0SO0kubAeOnRInTwnT55UgVBBSJ28XIjli13KIyeROHPmjApopU2JfLnIe3z++efqC1+qUfXV1PKFJe0kDFPr+lT0Sy+9pA5OqX6V58oJL9UWEmxK2eVEluc/8sgj6jPJdpB1165dUwFJXFxcnmWfNGmS2n5ywshtOdDkJJeL9969e9WXmwSg8+fPxyeffILZs2ejVq1auf5aks8jGUK5uMi2kMBcTp6cSPW8fKnJPpb3EHICyf6T95EvTPnFK/tZ6H95yud67LHHVCA0ffp09fwFCxaogFOyr/rgVJoHyMkrFwTZhnICy/tIYGQMuRjUrFlTXVzkC032s1x85AtdXlsCPUNygkpZ5fXlYi1fYHJc6Pe1PoMqKXxJ9cs+O3r0qAoU77efDMskx4T+Yi9f4qNGjVIBg+F5Irfl/JHXlvNJtpG8l/6iKNtBAgw5Hx6kmUR+t9H95GefFcb59SDXAwnuJdD/7LPP1Pkg5+avv/6qjkv5QSbbRa5JeR3LOZF9KdtProlybgYHB6vzUrI8t2/fVue3NLOQa0BKSoraz7K9JICS40o+k/580pPrgpy3+ip/2S6y7cLCwtSxIWRZAgEJgOX4kiyCVMPqv/xzO1+FfInK55f3l0BYyiVfnnL8yefPWs0qX5hyfZFrmQSk8p7yw1MCg6pVq6pzSV5P2h0vXbo0Y3/VqVMHBSWBj1ShiTt37qigRfaXHLvStqqgJOA2DLpzU9BAU8op+0XaVGcl3wty7EpALd+ZxpBydOzYUe0fPQmiZD9LACUBjpwTQh4jAaiPj0+Or5XXMaEnx7AETlKNGRsbq7JX8kNJkgy5bQ99MkOOHbkeGJLrgpxXcl4U5BokwZ+ch/IDRK4NTrns+99//10dtz179lTHiTzup59+wqOPPqrORX25ZHvJY+Q7U76H9OdQXlX2+SE/2mWbPvXUU+qckO9pWadPtBQKbTGZPXu2pCq0e/fuzVg3ePBgte7PP//M9NiuXbtqa9asmWmdPG78+PEZy4sWLVLrNm/enO295HUDAwNzLUt6ero2NTVVO3fuXK2Dg4P21q1bRj9Xr127dur9N27cmOfjNBqNeq+tW7eqxx86dCjjvldeeUWty+rff/9V67/++utM6y9duqR1c3PTvv3222p537596nHLli3T5sft27fV68h2NhQeHq51cXHRDho0KM/9lhvZF/JY2TeGZL9l/Zx169ZV2zAreR95rLxvVrVq1dKGhISo7Wmoe/fu2nLlyqn9KgYMGKA+37Vr1zIek5aWpp4vrx0WFqbND3nunTt3tB4eHtopU6Zk2zYjRozI9PgvvvhCrY+IiFDLJ06cUMuvv/56psfNmzdPrZdjLj/0x++ECRO0pUqVUseYOH/+vDqen3rqqTyf361btxyPcf3+y3pOyfbKbZ/cbxvl9ppZFXSfFeT8ys/1wBhSzpSUFG316tUz7eO8juWcPP/881onJyft8ePHc33M2LFj1Wv+999/mda//PLLWjs7O+2pU6cy7bP69eur8unt2bNHrZ8/f75avnnzplqePHlynmXL7XzNSt5LtuXQoUPVuWpI3qdMmTLa2NjYjHWyv+3t7bWTJk3KWPfll1/m6zyVcuVWNnmdnP66dOmijtecyPkox/H96L+/7vdnzHbLSrZR7dq1tQEBAdq4uLhM961YsUIdJ0eOHMnzupuTX375RT1WrvXik08+UedYjx49tM8995xaJ8eyfP533323QNdwfXmyfr/I97ysl++3vIwZM0ZdC6KjozPWyTkhz/3+++8LfJ1+9tlnsz1n9t379MdafHy81tfXV/v4449nu0Y0aNBA26xZs4x1zZs315YvX16bmJiYab/J84257sg1OLdr/4ULF9R58eSTT2ask20tn83w/DEk98s+yQ+TdwKRXyXyq8CQRPgPUpWUE/llLplG+eUuvz4kqpcoX6J2Sa0WhKTO5RdVVlKlIr+kpLpP/176NnGGVay5kV/0sl0kiyS/XPV/8npSZaKvDpGeYlIG+WUlGTH51WMMyYhIG4is1blS7SSfJ6dUt6lJtZtkZ+TXkDDcLpLBkF9/+uoFyRTKrzTJmOjJfpBMoTEkSyDbVLavVIPIn2Qr5FdjTvtPjitD+l+o+mNYyiP0Zdfr37+/em1jSGZLqlDkF7f+mJJsn2SIIiMj1WPWr1+vjmfDKp6ikt9tdD/52WcPen496PVAjjnJcktWSrKH8tnlf8lMFuSz661evVplzqV6NK/jQN43a3tcOZcl3jHMOgvJeBhmW7Iem5I5kcz7l19+qar9ZLsYk9UytGjRIpXpkf0v20K2pWQqctoW8vkMO5HJ/paMT2Ff77OeZ5J1lD/Jln333Xcq8yW1CVmbGuWH1JjoXzevP8ke5YdUq0sGVbaJbFvDHskxMTGqJkDOvfz2+BRyDRH6LKBcM6RGQtbLbf33g5zH+scW1P2ui7mRTJ18P0lTDz3JCEo2TJ+hLMg1qG/fvvct865du1S2TapcDb9j5JyQ40X2p7y+/Mlt2U+GnXDk2M4azxSEfF55T32zMiG35X0Nt4vFVwFLVU/WXkyyo+UkKCzSZqZNmzYqXTxlyhRVbSLvKVVG8mUpB1tB5NRzSA5KeS95fak6lQaa8hmlalAOFmPeS1LI+vYaOZGqEiHBgFQTSNWVpNulmkjKJNWNUu2UW4pbgobcyi/tNfQXAnOiT6tLVVNuPab0DWDl80lwkFVO63IiFxkJgqW6TKoTpCpbAnIJNHPafxJEGNJXhegfq9/eWd9fLlhZn5sTOU6lzZu035MG4VKNKAGHtBGRfa9/H6keFMXRWDu/2+h+jN1nhXF+Pej1YMyYMapqVb58JPDUt6GS6suCXkv0++9++062U07DVMl5q78/P8emvr2VVMlK9ZU0G5CgUH6syLGVW49/PammlQBL2mRL0wfZX3JcS1VcTlXpOR3vUqYH2W73I9X0TZo0yViWfS/rpPmLVCtKQFUQUl1uzLlmzJAgehKQSpW4tPWSRIA0KzAkberkui5Vv/oqejknhDSDkXX69o05kU4uEvBLACg/riTYk30uQZRUK8uPaLlPqoSlqcGDuN+xlxup8pZrigRB0lxFfpRJtaxUt8qxWdBrkDE9fa/f/Z6R6u3cSIAo7yMB2oN8z+RGXleOSzmnpRpev58lIJcmL/LjynBEFIsOAIuDfFFK5CwXKzkB9B50eIacTjL5BS5thCRLZ9gTNj9DGkjbBXnt7du3Z2tXIQzXSeN1aX8gAaM0jpUDRy7mcgJLw/i8TsycxhWSsue3/VZx0JdJOgbIF31O5Atd//mkLWRWOa3LSn5hy4VXhmUw3H76tk4Fod/e8v7STkpPfllm/cLOiexfuehLuQx/LMlxbUjfPlM6AEk2N7/0r501K5K1Z1lRbSNj9llhnF8Pej3QtxGSLGDW7ZRbmyljyP67X+ct2U65nbeiIOeubAN9JyHJfkqnKsluSXs+qVm437aQtmiSlTC8Hj5IZq046LNR0vazoCQjI23E7keOU2M6scg2kzHdJBsunWiytoET0p5X2r7lFGToewJLIiCv41BeV15fkgcSbMgPSwn09T/+JQCUIDmn757iIm1nR4wYoTJ5kvGXY17WPcg1yJhA3O/u+SNtUPPqVS7tdOX1Cvo9kxfZ/vosaU4/mKT9t9T2PUi7WIsPAI39NWG44w0PaAmYJJtS2HJ6L5FTNYDhZ5CAzbAhrDQwl0bh8uva2PeV6uFvv/1WBYEHDhzI9bHSaFXeTy7e+t7UQr585As2r18/hSW3X/257VcJ7qRjilyws37x5lTNtHz5cvVrTp9FlV+RxqTOZTvKsZF1/0lDZnmNgtD3hpYu/fKLTk++aPWN0+9XJsmqGFblyfaRxsyGJEsoj5Hsi+zj/G57fWZJfkhIg2c92ZZFvY2M3WeFcX496PVAnp/1/aVzg5yvkknJ6f2N0aVLF7VPJQuj/zGT05e3NAaX81vf+U1IByMpl2zHByEZVak9kCFGDK8huR0z8p76AeINvwBz6gVsrPxut4LQB/s59b41lgTJuQ3ga+h+WVTDzJ9cf+WHieH5Z0g682T9sSOfRcYwlPJIsHm/QawlkzRjxgz1WhLk6Msnx5Z07pCqzftdY4s6cyvZWcm0y3eZBIDyw1mub0V5DRLSlEGCZwmw8tq3csxLMwzZV9J8Qv/jWTr1/fPPP3gQ8mNMahTktfUdtQy/o2WsXcmuF0aPY4sNAPXtH+RAlgNYdoD8Es0pYpY2DrLD5KCSHrtSvSxfkvJLqbBJ2lyqhIYPH65+nUjmRr74c/qlKdk7IT0Y5eIvX97yy1QOQkl9yy8eaasiw1VI6ld+BUnVgDxPhh2RX0DSA0t+NUq1sJwQctDIBUI+c27kAJe0uVQbSyZDtotkomSoEdmOUu6ips9cyhe8lF3eV9ZJ9YR8Wcs2k7ZQcjGTX6byJ1/ysp3k4ihtnuSiIL/25FeifFlJexkhX2ASTEh7RmknJ1WEUmWXdeT/nEg1gmxvOanl16AERfJLWU7KgmZ35HNIe0654MrxIBdg+SUvJ3BuPaWztuOS9llS5SHHhewreW7Wi5+UVfap9A6VC7PsV7mAyMVMslP6QZFlO8txIueABKRysZEqMskqSNkkwJBjWDJDUsUijy3qbWTsPiuM8+tBrwfyA02+mKR3rbze/v371bbIWh2Y17GcE8ncSztA2bayH6X8ci7LwMDyZSjvJ1/0EuzJMSGPl30kwadcB+SaoB8TzFgS7MsXnfwQlB9Ysl0kCJH1hpmV3M5X2RZyfEi2Rn44SlW8HH9S3SZtIgtCv9+kel6yWrKPJSA2JpDKifyo0A99I/taAiZpPiDHqmFWKb/kuC+sWaNk28m+lype+Q4zHKpHzjd9tkeGHMmr6lT/YzMvco7ph0UxHChdzn19FtGY9n+5HROFQfaNBMRynsk5IM1+9KNsFNU1SMg5Ktk/2Q7y3SL7RX4kSPMMucbI/3KtEHKcS7tAuZ5INboEnnKtke/qgtaEyLVdfjzJd5xUeedEkjxyDZDr9IP0Yle0Ju4FnFNvq5x6HGXtBSyk51qVKlVUzz3D3nY59eT9559/VC8eV1dXbYUKFbRvvfWWdvXq1dl6KOanF3BuPW527dqlbdGihdbd3V3r7++vHTZsmPbAgQPZegQmJyer++Qx0oMva8+3WbNmqZ5Gso2kV1RQUJDqySS9f8XJkye1AwcOVOvlfm9vb9VLac6cOVpjSI+w4OBgrbOzs3puz549tceOHcv0mKLqBSy9nDp37qwtUaKEus9wm0sPRemZJj3dsu536eXZv39/benSpdX9ZcuW1Xbs2FE7ffr0TK+/c+dO7UMPPaR6NctjZH/PmDHDqN6Fly9f1vbt21dbsmRJVb7HHntMe/To0Wy9tnLbNjn1fJV9/cYbb6hyyzEoZZPecHn1BDMkx4L0jJfPU7VqVdVrcubMmTl+HunN2rRpU/U+np6eqjem4XEnvVz79eun9fHxyTju9KTnstwnPdnkmHj66aczepsbvoax28jYXsD52WeFcX4Zez3IrRe99HKVfSllaN26tXb79u059kbN61jOifT0l97A8vnlOdLLUI7369evZzzm4sWLqqe+9ACXx8hxIT1n9b3gDXsBy/qsDMshrztkyBBVRrnOyPEi14Rvv/02U+/hvM7Xzz77TFu5cmW136Tn6s8//5zrNVx6ZmeV0zkwbtw49dmlJ+T99kl+egHL9pLzR3q8nj179oF6ARemB+lFnJ9ewHpyTZDnyDmnd+XKFbXOcGSBglzDcyuPMaMJGFq3bl3GNjh9+nShX6dz6gWsJ6MKyGgJch2UY0auEbKc9TMtX7484zu0UqVK6lzIaVvlJKfjXmKa+43sId918pglS5Y8cC9gO/nnwUJIIiIi05Csl3yNSbZaskSGmaKCjOsnY9JKFbi+cwVRUZCspVTZ66t8H/S4lSp8ySBK7ZKxTD4MDBER0YOQ4V2kOizr0CP5IdXs8hq5zblKVNjkWJNjTnpgF5R0ipTXMHZAcEPMABIRkcWSTjP6GXWk/ZdhR5z8kPaL+mFApL2oTDNJVFRk6kh9b3lpZ2jslH5ZyQxA+vbL0uY4p5ljcsMAkIiIiMjGsAqYiIiIyMYwACQiIiKyMQwAiYiIiGwMA0AiIiIiG2OxM4GYAxl7R+bglBHq8zPhNxEREZmOVqtVvcdlZp6CjsFn6RgAPgAJ/gICAgpvbxAREVGxuXTpUrZpHG0FA8AHoJ+bUg4gY+Z0JSIiItOLjY1VCZyCzjFtDRgAPgB9ta8EfwwAiYiILIudDTffss2KbyIiIiIbxgCQiIiIyMYwACQiIiKyMWwDWAxdzdPS0pCenl7Ub0VmRiaUd3R0tOk2JkREZJ4YABahlJQUREREICEhoSjfhsyYu7s7ypUrB2dnZ1MXhYiIKAMDwCIcJDosLExlgWSgSQkAmAmyrcyv/AC4ceOGOg6qV69us4ONEhGR+WEAWETky1+CQBlnSLJAZHvc3Nzg5OSEixcvquPB1dXV1EUiIiJSmJIoYsz62DbufyIiMkcMAImIiIhsDANAsijSjnLZsmX5ek779u0xevToIisTERGRpWEASDnatWuX6sDy2GOP5XsLVa5cGZMnT7bYLbtlyxYVaEZHR5u6KEREREWCASDlaNasWRg1ahR27NiB8PBwbiUiIiIrwgCQsomPj8eff/6Jl19+Gd27d8ecOXOyPWb58uVo0qSJ6tnq5+eHPn36ZFS3Sq/X119/XWXR9EPffPjhh2jYsGGm15AsoWQL9fbu3YtHHnlEvZ63tzfatWuHAwcO5Lvszz77LDw9PdX4e19//XW2x/z++++q7CVKlEDZsmUxaNAgREZGqvsuXLiADh06qNslS5ZU5R8yZIhaXrNmDVq3bg0fHx+UKlVKbZtz587xCCIiKmy3zgN7fgb+eBI4v4XbtwgwACzmseESUtKK/U/eNz8WLlyImjVrqr+nn34as2fPzvQaK1euVAFft27dEBoaio0bN6qASixduhQVK1bEhAkT1CDY8mesuLg4DB48GNu3b8fu3bvV2Hldu3ZV64311ltvYfPmzfjrr7+wbt06VZ27f//+TI+RIVk+/vhjHDp0SLUnlHH69EGeDNuzZMkSdfvUqVOq/FOmTMkILseMGaMCVfnM0sO3d+/eargfIiJ6AMl3gFOrgZVvAFMaAt+FAKveBE6vBk6t4aYtAhwHsBglpqajzv/Worgdn/Ao3J2N39UzZ85UgZ+QNoB37txRAc/DDz+s1n366ad48skn8dFHH2U8p0GDBup/X19f1XZQn13Lj44dO2Za/umnn1QWbuvWrSrbdj9STin73LlzVSZR/PrrryogNfT8889n3K5atSq+++47NGvWTD1fMofyGUTp0qVVtk+vb9++mV5H3ksec/z4cdSrVy9fn5WIyKZJUuH6UeDsBuDsRiB8N6BJvXe/vSMQ8BBQrRNQs4spS2q1GABSJpL12rNnj8rkqQPE0REDBgxQbQL1AeDBgwfxwgsvFPqWk2rY//3vf9i0aROuX7+u5k+WafSMbYMo1bGS3WvRokXGOgnmJJNpSLKWUiUtn+PWrVsZGTx5nzp16uT5+h988IHKTt68eTPT8xgAEhHdR3wUcH6zLug7twm4cz3z/T6BQLWHkR7UCWfdQ7D/WhpCw2+jd3l/tCzNrVvYGAAWIzcnB5WNM8X7GkuyWmlpaahQoULGOqn+lRktbt++rTJyMsNFfkl1adaq6NRUg197gKqGlanTpG1gYGAgXFxcVDAnQZ0xjKnqlmrczp07qz9pC+jv768CuEcfffS+7/P444+rKuKff/5ZTe8nAaAEfsaWj4jIpqSnAVf23cvyXQ2VK/W9+53cgcptcCegPQ65NMbOW14IvRSDw3uiEZ8ij9XxK+GClkF+pvkMVowBYDGSDgX5qYotbhL4SfWpdJyQAMmQVH/OmzcPI0eORHBwsKoSfu6553J8HZn3WLJ3hiTQunbtmgrS9B1DJANnSNr+TZ06VbX7E5cuXVKZNmNVq1ZNBaqSoatUqZJaJ0Hr6dOnVYcScfLkSfWan332mQrmxL59+7KVXxh+hqioKJw4cUJVS7dp00atkx7SRERkIPoScG6jLuA7vxVIjsm0eTSl6+JGmdYIdW6MdbGVsfdKPC4dSQQg1/p713sPZwc0rOSDkICS6FDLn5u4CJhvNELFbsWKFSpgGjp0qOqFa6hfv34qOygB4Pjx49GpUycEBQWptoASOK5evRpvv/22eqz07N22bZu6T7J40qtXegdLdu+LL75QryU9auU5Xl5emQK43377TXUoiY2NVR068pNtlPZ7UnZ5nvTSLVOmDN57771M07FJYCgB3vfff4/hw4fj6NGjqkOIIck+SpAq20OCUSmDZD7lNWfMmKF6F0vWcOzYsQ+wtYmIrEBqInBxpy7gk7+bpzLdrXEtiQi/h7DPsTGWx9XE9qtOSAnXd5zTBXySE6he2lMFeyES9FUqiWqlPeFgr0sWUNFgAEgZJMCTdn5Zgz99BnDixIlqWBYJ5hYtWqQCJ8mkSRDXtm3bjMdKD+CXXnpJBYjJyckq61e7dm2V3ZPXkOfJ67355psqoNKTdoYvvvgiQkJCVKAmj5XH5MeXX36pOnP06NFDdUR54403EBMTkykTKcPavPvuu6rzR6NGjfDVV1+px+tJ9bd0cJEAT7KcMqyMPGfBggV49dVXVbWvtCuU58u2ICKyGdLU5sape1k+Cf7Sku7dbWeP6yXqY49DQyyNrY1t0RWhiTYccESDku5OKsgLCdAFe8EB3vBydTLJx7Fldtr8jhFCGSRLJcGSBBiGmSyRlJSkhhepUqWKGiuPbBOPAyKyeInRQNjWu235NgGxlzPdHeNUGrvtG2L5nTrYnl4HsfDMuM/R3g61y3ndzezpqnQDS7lnNAUyx+9vW8EMIBEREd2jSQeuHryX5bu8F9DeaxOdCifsRR1sTK2HrZoGOJsknQZ1AV0ZLxe0qnSvKrdeeW+4ORvfEZGKDwNAIiIiWxd3TTc0y9kN0J7bDLvEW5nuPqspj22aYBXw/aephSS4wMXRHvUreeOFu8GeBH3lvPM/SgSZBgNAIiIiW5OWrBt8+dxGpJ3eAMcbxzLuklxerNYNOzX1VNC3LT0YV+Cvqm6l3d64u8FerbJecHbkhGKWigEgERGRLYg6h7QzGxB/bC3cr+6CU3piRiCg0drhiLaKLsuXHoyzzrVQN7CUarM3oZIPGgb4oJSni6k/ARUiBoBERERWSJsch1vHNiHu6Gp4XdkG3+Qr6ktfP87DDa23LsOnCcZV34dQNbCyyux9ymFYbIJVBYAyzIgMAxIREYG6deuqGSX0g/bmRAY2lnHpzpw5o3oDyby3MiSIjPdGRERkSRKSU3HuyG7EH1+Hkle3omrSMZRCGvTfaClaB+zX1MRex4aIKtsWfkGNEBJYCh9zGBabZDUB4MKFCzF69GgVBLZq1UrN2NClSxccP348Y1YIQzKLg4zv9u2336opvq5cuaIGBh42bBj++usvk3wGIiIiY8gIbmE343HsTBgST62Hb8R2BCcfQH276EyPC9eWxhHXpoiu0AZetTqiftWKGGUGw7CQ6VlNAPjNN9+oWSAkgBOS/Vu7di2mTZuGSZMmZXu8TBcmM1bIwL5CxuuTwYslI0hERGROYhJTcehSNA5evIm4s//C//oONNOEoptdGOzt7g7nawckwgVn3EMQV7EtStTrguq1GqAbh2Ehaw0AU1JSsH///mxTc8l8trt27crxOS1btlTThK1atUplCiMjI7F48WJ069atmEpNRESUXbpGi9PX4xAaHo3Q8Nu4cvEMKt3+F+3sD2GI/TF42SXoHni3A+51t2q4E9AOPvW7oFTttgh2ZGcNspEA8ObNm0hPT1dzvxqS5WvXruUaAEobwAEDBqjZGmQ+W5kOTOaIzY1MayZ/hiOJ2xKZ9qxhw4Yqu1ocZPo1qdaPjs5cpZGXCxcuqGxuaGioKisRkbm7EZesAr1QyfCFR+Pk5UgEpx1FW/vDeNH+MKrbXwEMZkpLcvJGUkA7eNZ9FI7VO6GMVzlk/vYjspEAUC9rmwZpI5FbOwdpGyjVv//73//w6KOPqo4jb731lmoHKHPi5kSqkmWOWGs2ZMgQ/Prrr9nWS0eZpUuXwsnp3lVIqtAlQJO/BwnazOEzS3mXLVtm6qIQkZVLTkvH8auxuuzeJV2G7/LtBFSzu4J29ofxsv0hNLM/CVfn1Ezz66aVawynGo8A1R6Ga/mGcLXn7Br0YKwiAPTz84ODg0O2bJ9U62bNChoGc9JZRII+ERwcDA8PD9Vr+JNPPkG5cuWyPWfcuHEYM2ZMpgxgQEAArI30hp49e3amdf7+/mobExGRcSQJcSU68W5VrgR8t3HsSixS0jXwQjxa2R/FK/aH0dblMCrYRWV+rlcF2FXrBAR1gl3VdnByK8nNToXKKobwdnZ2RuPGjbF+/fpM62VZqnpzkpCQAHv7zB9fH+DISZsTFxcXNWm04Z81ks9ZtmzZTH+ybaQKWJ/tk9sXL17E66+/rrKs8rdlyxY899xzanJt/boPP/wwo53m22+/jQoVKqhAu3nz5urxhiR7KD223d3d0bt3b0RFZb4g5mTPnj0ICQmBq6srmjRpoqp+DUnTAOkcJNXCbm5uqFmzJqZMmZJxv5RPMp5///13ps8h3nnnHdSoUUOVp2rVqvjggw+QmnrvVzkRkaGElDTsPh+FaVvO4cW5+9Bs4ka0/nwzRs0PxZyd56C5tA8vYTGWuX6EUNeXMM15CgY6btYFfw4uQFBHoPOnwIj/YPf6MaDH90DdXgCDPyoCVpEBFJKZe+aZZ1QQ0KJFC8yYMQPh4eGqSlefvZOhXubOnauWZeiXF154QfUS1lcBS3DTrFkzlC9fvmgKKYFl6t3Gu8XJyV3qxwv1JaU6uEGDBnjxxRfVdhS+vr6qfaBUq586dUqt8/T0VP9LYCjt8xYsWKC2rwy1I5nGI0eOoHr16vjvv//w/PPPY+LEiejTpw/WrFmD8ePH51mG+Ph4dO/eHR07dsTvv/+OsLAwvPbaa5keo9FoULFiRfz5558qUyydgqTMkuHt378/3nzzTZw4cUJlc/VZT/kcokSJEioolfJKOeVzyjoJZInItmk0WoRFxWd01JD/T12PUx049PxxG084HsHj7sfROP0QPNJjMr+IXw1VpStZPgS2BJzdi/+DkM2ymgBQOnNIxmjChAkqmKtXr57q4RsYGKjul3USEBq2+4qLi8MPP/yAN954Az4+PiqQ+Pzzz4uukBL8TSyi4DIv714FnD2MfviKFSsyAjchvaQXLVqU6TESJElWUAIiyRDqyYDakkUzXHfu3DnMnz8fly9fzgiuJfCSIE+CLgn6JCsngbi+J7dk3iRYk8fkRjrxSIZv1qxZKksng3/Le7z88ssZj5E2i4btNiUTKK8rAaEEgPI5JTMonXsMyyzef//9TO0d5TiR8SYZABLZnpiEVBy8fC/YO3gpWg3NYsgZqehS4gJ6eJ5A49T9KHXnjO6OlLsPcPECqrbTBXxSveuTfYxaouJiNQGgGDFihPrLiWRysho1apT6o8w6dOigMqN6UmX7IA4cOKCq1SWoMyRBl37WFcnCSbWvIcnk5hUAynMkCynBn+Fzspo+fTp++eUXVWWdmJioqqON6SEswwJJRvPs2bO4c+eO6ilurdX+RHRPWroGp6/fUW329Bm+czfis20iF0d7dC4bj+4eJxCSvA9+UXtgLz/0b+sfYQeUb3gvy1exCeBg0J2XyISsKgA0e1IVK9k4U7xvPkjAV61atUJ7e6mGlWyhjNWYtSOJPtOYW7vLvBjzHMn0STvFr7/+WgWHkrGU6QKlyjkvMlD4k08+qbKHkpmUzKZUX8vrEJF1iYxLUsOv6HvlHr4cg4SU9GyPq1zKHQ9VcEFnj9NokLQfvte2we7mBeCmwYM8SuuyexLwBXUAPPyK9bMQGYsBYHGSdnj5qIq1hM43UgV7v3XSSUPWSa/s3OZmrlOnjgq6DGVdzuk5v/32m8rqSTVuTs/Zvn276ghkmBmWKun7lXnnzp2q+YAMFq4nGUQissZhWBKzPc7TxRENA3wQEuCNNl4RqJuwDx6XtgJndwMag6pfeyeg0kP3gr4y9YAsHQyJzBEDQCowaRe3bds2lSmTnsPSyULWSXXpxo0bM6pnper3qaeeUnMvSwZNAkIZvHvTpk2oX78+unbtqsZklEBNpuLr1asX1q1bl2f1rxg0aJAK0KSXr7TXk04mX331VabHSCZTOv7ItIDS/k8Cxr1796rbhp9D7peOK1IlLdk+eZ60GZWsX9OmTbFy5UrOEU1kRcOwZP1tXqN0CYRU8lF/Tfw1qBKzB/bn/wKObALuXM/8wiUr36vWrdIGcClRvB+MqBAwAKQCkw43Mn9yUFCQas8nF1sJ4qTntb5TjvTklaFWpLOHjK8oHSmkN7YEWlIlK8GfeOihh1Q7Pf3jH374YRXUffzxx7m+v1Qf//PPP+r9JKiUjKB04unbt2/GY+S+gwcPqvJI55SBAweqbODq1aszHiO9e2XoF+lBLsHr5s2b0bNnT1V1PHLkSPXZZIpAGQZGP6wNEZnnMCxSfZvRM/dStJplIytfD2eESHZPBXwlEVzeAyVuHATOLQdCNwBXD0r4eO8JTh66QE8FfR2BUkHF+8GIioCdtiCNr0iRoUMkWyTj3mXtHCDTy8mwJJJpkjHqyDbxOCAqvmFYTl6LhcEoLIqjvR3qlPe6G/CVVEFfJV932MVcAs5uBM5tBM5vA5KzDNEiVbn6al2p4uX8ujbz/W0rmAEkIiKrGIZFlPN21WX2AnTBXr0K3nB1cgBSE4ELO4G9G4GzG4CbpzM/0c1X12lDn+UrkXlYKCJrwwCQiIgsdhiW4IreusxegA8aVvJBOW+3ewPv3zgF7P1Dl+W7uAtIS7r3ZDt7oGLTe235ZLgWzq9LNoQBIBERWcwwLPpqXMnw1SpXAk4OBj1uE6OBY2t1AZ9U78ZeyfwCXhWBah11AZ8MyMwp1siGMQAkIiLzHYblbs/chgElVeeNTDTpwOX9dwO+DcDlfYDWIHCU+XUrt7qX5fOvWejTYhJZKgaARERUJKSPoQR3EugdzMcwLJLlC/L3hIN9DsFa3LV7nTfObQISM6bd0PGrea/zBufXJcoVA8Aixk7Wto37n2xJfPLdYVgy2u5F4+YdI4ZhqeiNEq65TJGWlgyE775XrXv9aOb79fPr6rN8PgFF9OmIrAsDwCLi5KS7mCUkJGTMUkG2R/a/4fFAZE3DsJy/GZ8x3p4Ee6fyMwxLXlWxUefuZfnCtgOphh1AZH7dkHtZPs6vS1QgDACLiMx56+Pjo6Y/EzIjRp4XPLK6zJ8Ef7L/5TjIOgcykaWJTkhRQ6/o2+4dDL+N2KS0bI8rr4ZhKZnRfi9jGJa8JMfpAj19W77bFzLfr59fV7J8VWV+3VKF/OmIbA8DwCJUtqxuHCl9EEi2R4I//XFAZEnDsJy6HpdpCrXzOQzD4upkj+AKmTtqlPU2YuB7GaLl2hFdsCft+KSKl/PrEhUrBoBFSDJ+5cqVQ+nSpZGamn3AUrJuUu3LzB9ZyjAsGcHe3WFYElOzD8NSxc8jU9u9mmWzDMOSl/ibwLnN99ryxUfmPL+u/FVuzfl1iYoYA8BiIEEAAwEiMpdhWI7ph2G5O6vGlejsw7CUkGFY1Hh7umCvQYBP9mFY8pKeBlzeezfLt5Hz6xKZGQaAREQ2MAyLPtiTMfhyGoalZpkSmaZQk2FY7HMahiUv0eEG8+tuBZJjM99fpr5uIGbJ8gU05/y6RCbEAJCIyAaHYWl0txpXMnz18xqGJS/6+XX1nTc4vy6RxWAASERk5cOw1JVhWAymUAvwdSvYqAT6+XX11boS/KUnZ5lft9ndHrudgHKcX5fIXDEAJCKywmFY9D1z65Y3YhiWvMj8uue33H9+XanWrSLz6/oU/L2IqNgwACQisrVhWPIi8+tePXgvyycdObQGbQYdXYHAVvfG5fOrwfl1iSwQA0AiIhOLjE3KqMYtsmFY8mLs/LryJ8GfE2c3IrJ0DACJiKxxGJa86OfX1Q/EnG1+Xe+78+venW6N8+sSWR0GgERE1jIMS16MnV9XqnUrNAEc+PVAZM14hhMRFfMwLKU8nDOqcSXDFxzgA0+XQr4c6+fX1bflyzq/rmcZXXZPgj7Or0tkcxgAEhEVeBiWOxm9cotlGJa8C6SryjVmfl3J8pWpx84bRDaMASARkZHDsBh21JAhWeKKYxgWY+bX1Qd92ebXrXJ3ft1OQOU2gItn0ZSDiCwOA0AiohyGYTl5LS6j7d7B8Gg16HKxDMOSl/RU4PK++8yv2/Zu542OQKkg7lsiyhEDQCKyeTIMy4G74+1Jhu9IcQ/DYsz8uhL0hW3LZX7du235OL8uERmJASAR2ZSkVP0wLLop1A4aOQxLwwAflCysYViMmV9Xn+XLcX7djveyfCXKFn2ZiMjqMAAkIqsfhuXA3SFYJOA7fjUGqena4h+GJfdCAjdO3huiJdv8ug5AxaZ32/J15Py6RFQoGAASkVWS8fZeX3hQTamW8zAs+l65RTQMS15kpo3zW+913shxft271bqcX5eIigADQCKyuqzfvP/CMWHFcaSkaeDkYIc65b0z2u41qlQSFUsWwTAs951fN/Relo/z6xKRiTEAJCKrEZuUinFLjmDlkQi13KlWaXz5RIPCm0ItX4WJ0GX3JMt3fnMu8+verdbl/LpEVMwYABKRVTh0KRqj5oci/FaCGnx5bJdaGNq6SvFl+ji/LhFZEAaARGTxVb6zdl7AZ6tPqM4dUr37w6BGqtduEb8xcOv8vSFaLsj8ugk5zK97dyBmzq9LRGaEASARWfTsHG8uOowNJ66r5cfqlsXn/YLh7eZUNG/I+XWJyEowACQii7T/4i2M+iMUV2OS4Oxgjw+618bTDwUWbpWvml/3yN0s30bg0n+5zK97N8vH+XWJyEIwACQii6LRaPHTtvP4at0ppGu0qFzKXVX51qvgXTzz6/pWBYLuDtHC+XWJyEIxACQiixF1Jxlj/jyEradvqOUeDcpjYp/6DzaGn5pfd++9IVryml9X/iQAJCKycAwAicgi7D4fhdcWhOJ6bDJcHO0xoWdd9G8SULAq33zNr/sQ4GiCYWSIiIoQA0AiMmtSzfvDprOYsvE0NFqgWmlP/DioEWqWLWH8i6QkABd33svy5Tq/7sN359ctU+ifg4jInDAAJCKzFRmbhNELD2LXuSi1/ETjivioZ124OzsaN0zLwXnAkcXAxV2cX5eIyAADQCIyS9vP3FBz+d68kwJ3Zwd80qse+jSqaNyTE24By14GTq+5t8474F6WT9r0uRXxOIFERGaMASARmZW0dA2+3XAaU7ecU0m8WmVLqF6+UvVrlPDdwOKhQOxlwMEFaPsWUKcH4FcDKM75f4mIzBgDQCIyG1ejE1VHj70XdPPmPtW8Ej7oXgeuTg7Gjdm3czKw6RNAmw74BgFPzAHKBRd9wYmILIw9rMjUqVNRpUoVuLq6onHjxti+fXuujx0yZIjqPZj1r27dusVaZiLS2XTyOrp+t10FfzKsyw+DQvBp7/rGBX8ydt8fTwAbP9IFf/WfAF7ayuCPiMjaA8CFCxdi9OjReO+99xAaGoo2bdqgS5cuCA8Pz/HxU6ZMQURERMbfpUuX4OvriyeeeKLYy05ky1LSNPh05XE8P2cfohNSUb+CN1a+2hrdg8sb9wIXdgDTW+uGdHF0BXp8D/T5GXDJRy9hIiIbY6eVmdStQPPmzdGoUSNMmzYtY13t2rXRq1cvTJo06b7PX7ZsGfr06YOwsDAEBgYa9Z6xsbHw9vZGTEwMvLy8Hqj8RLbo0q0EjJwfikOXotXyc60qY2yXWnBxNKbKNx3Y/jWwZRKg1QB+NXVVvmXqFH3BiciixfL72zraAKakpGD//v0YO3ZspvWdO3fGrl27jHqNmTNn4uGHH84z+EtOTlZ/hgcQERXMmqMReGvxYcQlpcHL1RFfPtEAj9Yta9yT464DS18Awrbqlhs+BXT9EnD24O4gIrKVAPDmzZtIT09HmTKZB2+V5WvXrt33+VIFvHr1avzxxx95Pk4yiR999NEDl5fIliWlpmPSqhP49d+Lajmkkg++HxiCiiXdjXuB81uAJS/o5uh1cge6fQM0HFi0hSYisjJWEQDqZZ0SSmq3jZkmas6cOfDx8VHVxXkZN24cxowZkykDGBAQ8AAlJrItYTfjMfKPAzh2VZc9f6ldVbzZuSacHIxojpyeBmz9HNj2pW6u3tJ1gCd+BfxrFH3BiYisjFUEgH5+fnBwcMiW7YuMjMyWFcxKgsRZs2bhmWeegbNz3vN9uri4qD8iyr+/D17Bu0uPID4lHb4ezvi6fwN0qFnauCfHXgWWDNNN5yYaDQa6fA44uXFXEBHZai9gCdxk2Jf169dnWi/LLVu2zPO5W7duxdmzZzF06NAiLiWRbUpMSce4pYfx2oKDKvhrVsUXq15tY3zwd2aDrpevBH/OnkDfmUCP7xj8ERHZegZQSNWsZPGaNGmCFi1aYMaMGWoImOHDh2dU3165cgVz587N1vlDehDXq1fPRCUnsl5nI+PwyrxQnLoepybhGNWhGl7tVB2ORlX5puoGdZbBnUXZ+roq31JBRV5uIiJrZzUB4IABAxAVFYUJEyaoTh0S0K1atSqjV6+syzomoAzfsmTJEjUmIBEVrsX7L+ODZUeRmJoOP08XTHmyIVpV8zPuyTGXgcXPA5f+0y03fQHo/Ang5MrdRERUCKxmHEBT4DhCRNnFJ6fhg7+PYumBK2q5dTU/fDugIfxLGNl+9tRqYNnLQOJtwMVLN7Bz3bw7aBER5UcsxwG0ngwgEZneiYhYvPLHAZy/EQ97O2DMIzXwcvtqcJCF+0lL0U3l9u8PuuXyIUC/2YBvlSIvNxGRrWEASEQPTCoS/tgTjo/+Oa6mdivr5YrvBoaoDh9GuX1BV+V7Zb9u+aERwMMfAY5598wnIqKCYQBIRA8kLikV45YewYrDEWq5Q01/fN2/oRrqxSjHlwN/jwSSYwBXb6DXNKBWN+4VIqIixACQiArsyOUYjJx/ABejEuBob4e3H6uJYa2rwt6oKt9kYN37wJ4ZuuWKTYF+swCfStwjRERFjAEgERWoynfOrguYuOoEUtO1qODjhu8HhaBRpZLGvUDUOWDxc0DEId1yq9eAjh8ADk7cG0RExYABIBHlS0xCKt5afAjrjl9Xy53rlMGX/RrA293I4O3oEmD5a0BKHODmC/T+CajRmXuBiKgYMQAkIqMdCL+NUX+E4kp0Ipwd7PFu11oY3LKyUXNuIzURWDMO2D9bt1yphW5WD+8K3ANERMWMASAR3ZdGo8XP28/jy7WnkKbRIrCUO34Y2Aj1K3obt/VungEWDQGuH5XhR4E2bwDtxwEOvAQREZkCr75ElKdb8Sl448+D2HzqhlruHlwOk/rURwlXI6t8Dy0EVrwOpMYDHv5AnxlAUEdudSIiE2IASES5+u98FF5dEIrrsclwcbTH+MfrYmCzAOOqfFMSgFVvAQd/1y1XbgP0/QUoUZZbnIjIxBgAElE26Rotpm4+i283nIZGCwT5e+CHQY1Qu5yXcVsr8oSuyvfGSV2Vb/uxQNu3AHsHbm0iIjPAAJCIMomMS8LrCw9i59kotdynUQV83LMePFyMuFzI1OIH5wEr3wTSEgHPMrqsX5W23MpERGaEASARZdhx5iZGLzyIm3eS4ebkgI971UO/xhWN20LJd4CVY4DDC3XL0s6v9wzA059bmIjIzDAAJCKkpWswZeMZ/LD5rEri1SxTAj8+FYJqpUsYt3WuHQUWDQaizgJ29kCH94DWYwB7e25dIiIzxACQyMZFxCTitfkHsefCLbU8sFkljH+8DlydjGivJ9GijOu3eiyQngyUKA/0mwkEtiz6ghMRUYExACSyYZtPRmLMnwdxOyEVni6OmNinPno0KG/ck5NigX9eA44t1S1X7wz0mg54lCrSMhMR0YNjAEhkg1LTNfhq7Sn8tO28Wq5XwUsN7FzZz8O4F7h6UNfL93YYYO8IdBoPtBjJKl8iIgvBAJDIxly6laDG9gsNj1bLQ1pWxriuteDiaGSV756fgXXvAekpgHcA0G82ENC06AtORESFhgEgkQ1Ze+wa3lp0CLFJafBydcQX/RrgsXpGDsycGA0sHwmc+Ee3XLMb0PMHwN23SMtMRESFjwEgkQ1ITkvHpFUnMWfXBbXcMMAH3w8MQYCvu3EvcHk/sHgIEB0O2DsBnT8Gmg8HjJkRhIiIzA4DQCIrd+FmPEbOP4CjV2LV8ottq+KtR2vCycHeuCrff38ENowHNGlAycq6Kt8KjYq+4EREVGQYABJZsX8OXcW4pUdwJzkNJd2d8HX/BuhYq4xxT064BSwbAZxerVuu0xPo8T3g6l2kZSYioqLHAJDICiWlpuOjf45j/p5wtdy0ckl8NzAE5bzdjHuB8P+Axc8DsZcBBxfgsYlAk6Gs8iUishIMAImszNnIOxj5xwGcvBanmui90r4aRj9cHY7GVPlqNMCuKcDGjwFtOuAbBDwxBygXXBxFJyKiYsIAkMiKLNl/Ge8vO4rE1HT4eTrj2wEN0aa6kXPxxt8E/noJOLtBt1z/CaD7t4CLkdPBERGRxWAASGQFElLS8L+/j2Hx/stquWVQKUx+siFKl3A17gUu7ASWDAXiIgBHV6DLF0CjZ1nlS0RkpRgAElm4k9di8cq8Azh3Ix72dsDoh2vglQ7V4CAL96NJB7Z/A2yZCGg1gF8NXZVvmbrFUXQiIjIRBoBEFkqr1WLB3kv4cPkxJKdpUMbLBVOeDMFDVY2cizfuOrD0BSBsq265wSCg21eAs5HTwRERkcViAEhkgeKSUvHuX0fVMC+iXQ1/fNO/AUp5uhj3Aue3AEteAOIjASd3oNvXQMNBRVtoIiIyGwwAiSzM0SsxqpfvhagEVc0rgzq/2KYq7I2t8t3yGbDtS8khAqXr6Kp8/WsWR9GJiMhMMAAksqAq37n/XsSnK08gJV2DCj5uamy/xoEljXuB2AhgyTDg4g7dsnTyeOxzwNnI6eCIiMhqMAAksgAxial4Z/FhrDl2TS0/UqcMvuwXDB93Z+Ne4MwG4K8XgYQowNkT6D4ZCH6iaAtNRERmiwEgkZkLDb+NUfNDcfl2Ipwc7DCuS20816oy7GSU5/tJTwU2fwrs+Fa3XLY+0G8O4FetyMtNRETmiwEgkZnSaLSYuSMMn685iTSNFpV83fHDoBAEV/Qx7gViLuumc7v0n2656TCg86eAk5FjAxIRkdViAEhkhm7Hp+CNRYew6WSkWu5Wvxwm9a0PL1cn417g1Bpg2XAg8Tbg4gX0+A6o27toC01ERBaDASCRmdl74RZenR+KiJgkODvaY/zjdTCoWSXjqnzTUoCNHwH//qBbLh8C9JsN+FYp8nITEZHlYABIZEZVvtO2nsM3608jXaNFVT8P/DCoEeqU9zLuBW5f0FX5XtmvW35oBPDwh4CjkWMDEhGRzTBpAJicnIw9e/bgwoULSEhIgL+/P0JCQlClCrMVZFtuxCVjzJ8Hsf3MTbXcO6QCPulVDx4uRp6iJ/4Blr0CJMcArt5Ar2lArW5FW2giIrJYJgkAd+3ahe+//x7Lli1DSkoKfHx84Obmhlu3bqmgsGrVqnjxxRcxfPhwlChRwhRFJCo2O8/exOiFB1UQ6Opkjwk96+GJxhWNrPJNBtZ9AOz5SbdcsSnQbxbgU6nIy01ERJbLvrjfsGfPnujXrx8qVKiAtWvXIi4uDlFRUbh8+bLKAp45cwbvv/8+Nm7ciBo1amD9+vXFXUSiYiHVvFLd+/TM/1TwV6OMJ/4Z2Rr9mwQYF/xFnQNmPnIv+Gv5KvDcagZ/RERkfhnAzp07Y9GiRXB2znkAW8n+yd/gwYNx7NgxXL2qm+uUyJpci0nCawtC8V/YLbX8ZNMAjH+8LtycHYx7gaNLgeWvAilxgJsv0Hs6UOPRoi00ERFZDTutzC9FBRIbGwtvb2/ExMTAy8vIhvpk87acisSYPw/hVnwKPJwdMLFPffRsWMG47ZKaCKwZB+yfrVuu1ALoOxPwNvL5REQEfn+bSS9gaQcYGRkJjUaTaX2lSmzHRNYjNV2Dr9edxvSt59RynXJeamDnqv6exr3AzTPAoiHA9aPy2w1oMwZo/y7gYBanMRERWRCTfnNIe7/nn39edQoxJElJaQOVnp5usrIRFaYr0YkY9ccBHAiPVsvPtgjEu11rw9XJyCrfQwuBFa8DqfGAux/QZwZQrRN3EhERWV4AOGTIEDg6OmLFihUoV66ccQ3fiSzMumPX8Nbiw4hJTEUJV0d80TcYXeqXM+7JKQnA6reA0N91y5XbAH1/AUqULdIyExGRdTNpAHjw4EHs378ftWrVMmUxiIpESpoGk1afwOydF9Ryg4re+H5gI1Qq5W7cC0SeBBYNBm6c1FX5tnsHaPc2YG9k1pCIiMhchoExVKdOHdy8qRv4tjBMnTpVDSLt6uqKxo0bY/v27Xk+XsYcfO+99xAYGAgXFxcEBQVh1qxZhVYesl0Xo+LRb/qujOBvWOsqWDS8pXHBn/TLkozfjPa64M+zDPDs30CHcQz+iIjI8jOAn3/+Od5++21MnDgR9evXh5NT5onu89OzduHChRg9erQKAlu1aoWffvoJXbp0wfHjx3PtTNK/f39cv34dM2fORLVq1VRHlLS0tAf+XGTbVh6OwNglhxGXnAYfdyd81a8BHq5TxrgnJ98BVr4BHF6gW67aQdfez7N0kZaZiIhsi0mHgbG31yUgs7b9K0gnkObNm6NRo0aYNm1axrratWujV69emDRpUrbHr1mzBk8++STOnz8PX1/fApWf3cjJUFJqOj5ZeRy/7w5Xy00CS+K7gSEo7+Nm3Ia6dlTXyzfqDGBnD3R4D2g9Rk4UbmgiokIUy2HcTJsB3Lx5c6ENIyNtCceOHZtt0OmsPYz1li9fjiZNmuCLL77Ab7/9Bg8PD/To0QMff/yxmpYutypj+TM8gIjEuRt38Mq8Azh5LU4tj2gfhNcfqQEnByOCN/kNtn8OsPodID0ZKFEe6DcTCGzJjUtERNYXALZr165QXkfaEUq2sEyZzNVssnzt2rUcnyOZvx07dqj2gn/99Zd6jREjRqj5iHNrByiZxI8++qhQykzW46/Qy3jvr6NISElHKQ9nfDOgIdrV8DfuyUmxwIrRwNEluuVqjwC9fwI8ShVpmYmIyLYVewB4+PBh1KtXT1X/yu28BAcH5+u1c6tKzokMOi33zZs3T83mIb755hs1T/GPP/6YYxZw3LhxGDNmTKYMYEBAQL7KSNYjISUN4/8+hkX7L6vlFlVLYfKTDVHGy9W4F7h6EFj8HHDrPGDvCHT6H9BiFKt8iYjI+gLAhg0bqqxc6dKl1W0JwnJqhpifNoB+fn5wcHDIlu2TTh1Zs4J6Mu5ghQoVMoI/fZtBKcvly5dRvXr1bM+RnsLyR3T6epyq8j0TeQfyG+O1TtUxqmN1ONgbMZalHO97fgbWvQekpwDeAUC/WUBAM25YIiKyzgAwLCwM/v7+GbcLg7Ozsxr2Zf369ejdu3fGelnu2bNnjs+RnsKLFi3CnTt34Ompm4rr9OnTKjNZsWLFQikXWR/5gfDnvksYv/wYklI1KF3CRWX9Wgb5GfcCidHA8pHAiX90yzW7Aj1/BNwL1hGJiIjI4noBFyYZBuaZZ57B9OnT0aJFC8yYMQM///wzjh07psb5k+rbK1euYO7cuerxEvhJxu+hhx5S7fqkDeCwYcNUu0R5njHYi8i23ElOw3t/HcHfB6+q5TbV/fDtgIbw8zQyK3x5P7B4CBAdDtg7AZ0/BpoPl3R30RaciIgyiWUvYNN2AhESlO3cuVNV10q7PEOvvvqq0a8zYMAAREVFYcKECYiIiFDtDFetWqWCPyHrwsN1w3MIyfpJhnDUqFGqN3CpUqXUuICffPJJIX46shbHrsZg5B+hCLsZr6p53+hcA8PbBsHe2Crf3VOB9eMBTSrgEwg8MRuo0Lg4ik5ERGReGcDZs2dj+PDhqgpXAjDDDhtyW3rqmjP+grB+cnr8vvsiPl55Qk3tVs7bFd8PDEGTykZW2SbcApaNAE6v1i3X7gH0+B5w8ynSchMRUe5imQE0bQAoPWglAJTqWf2g0JaEB5B1i0lMxbilh7HqiK5z0cO1S+PLfg1Q0sPZuBcI/w9Y/DwQexlwcAYenQg0HcYqXyIiE4tlAGjaKuCEhAQ1G4clBn9k3Q5disbI+Qdw6VYinBzs8M5jtTC0dZVchxXKRJoy7JoCbPwY0KYDvlWBJ+YA5RoUR9GJiIjuy6SR19ChQ1VPXCJzIQnxX7afR7/pu1TwF+DrhkXDW2JYm6rGBX/xN4E/+gMbPtQFf/X6AS9tY/BHRERmxaRVwDLOX/fu3ZGYmIj69evDyckp0/0yMLM5YwrZutyOT8Fbiw9hw4lItdy1fllM6hMMb7fMx2WuLuwElgwF4iIAR1egy+dAo8Gs8iUiMjOxrAI2bRXwxIkTsXbtWtSsWVMtZ+0EQlRc9l24hVfnh+JqTBKcHe3xQfc6eLp5JSOrfNOB7d8AWyYCWg3gV0NX5VumbnEUnYiIyLICQMnwyby7Q4YMMWUxyIZpNFpM33YOX687jXSNFlX8PPDDoBDULX9vhpg83YkElgwDwrbqlhsMBLp+BbjoBhcnIiIyRyYNAGVaNZmRg8gUElPSMfz3/dh6+oZa7tmwPD7tXR+eLkaeFue3AEteAOIjASd3oNvXQMNBRVtoIiIiS+8E8tprr+H77783ZRHIhs3aGaaCP1cne3zRNxiTBzQ0LviTKt/NE4G5vXTBn39t4IXNDP6IiMhimDQDuGfPHmzatAkrVqxA3bp1s3UCWbp0qcnKRtaf/Zu1QzcX9cTe9dGnkZHzP8dG6Kp8L+7QLTd6Fnjsc8DZvQhLS0REZEUBoI+PD/r06WPKIpCNWrA3HFHxKWqYlx4Nyhv3pLMbgKUvAglRgLMn0H0yEPxEUReViIjIOgLAO3fuqLl4ZSo4ouImU7rN2KabZnB4uyA4OtynJUR6GrD5E2DHt7rlMvV1vXz9qhVDaYmIiKykDaCfnx+6dOmCadOm4erVq6YoAtmwZaFXEBGThNIlXND3flW/MZeBOd3uBX9NhgLDNjD4IyIii2aSAPDUqVPo2rUrlixZgipVqqBp06b4+OOPcfjwYVMUh2yIDPUybes5dfvFtlXh6uSQ+4NPrQGmtwYu7QZcvIB+s4Hu3wBOrsVXYCIiImubCUTExMRg1apV+Pvvv7FmzRqULFkSPXr0QM+ePdGuXTs4OOTxBW1iHEnc8vxz6CpGzQ+Fj7sTdr7TER459fpNSwE2fgT8+4NuuVxD4InZujl9iYjI4sVyJhDTDgMjvL29MXDgQCxYsAA3b97ETz/9BI1Gg+eeew7+/v6YN2+eqYtIVkJ+6/y4+ay6/VzLKjkHf7cvArO73Av+mr8MDF3H4I+IiKyKSXsBZ+Xo6IjOnTurPxkfMDQ0FGlpaaYuFlmJTScjcfJaHDycHTCkZeXsDzjxD/D3K0BSDODqDfScCtTuboqiEhERWV8AGB4ebtTjQkJCirwsZDvZvx/uZv+ebhEIb3eDMSfTkoF1HwB7ftItV2gC9JsFlAw0UWmJiIisMACUjh96+iaIdnZ2mdbJcnp6uimKR1Zo9/lbCA2PhrOjPYa2vnf84dZ5YNFzQMRB3XLLUUCn8YBD5kHJiYiIrIlJAkAJ7ipWrIghQ4bg8ccfV1W/REVp6hZd9u/JpgEoXeJuL97rx4FZjwLJsYCbL9B7OlDjUe4IIiKyeiaJvC5fvoxff/0Vc+bMwfTp0/H0009j6NChqF27timKQ1bu0KVobD9zE472dmroF0WjAf55VRf8SZVv/7mAdwVTF5WIiMh6ewGXLVsW77zzDk6cOIHFixfj9u3baN68OR566CH8/PPPqhcwUWHR9/zt2bACKpa8O2fvgTnA5b26Kd0Y/BERkY0x+TAwrVu3xsyZM3HmzBm4u7tj+PDhiI6ONnWxyEqcvh6HdcevQ5qYvtw+SLcy7jqw4UPd7Y4fMPNHREQ2x+QB4K5duzBs2DDUqFFDzRH8448/wsfHx9TFIisx9W72r0u9sqhW2lO3cu27uqFeZIDnZi+YtoBERES20gYwIiICc+fOxezZs1X171NPPaUCwbp165qiOGSlwqMSsPyQbq7pEe2r6Vae3QgcXQzY2QOPTwbszXemGSIiIqsKAAMDA1G+fHkMHjxYTfvm5OSkhnzJOhdwcHCwKYpHVmL6tnPQaIF2NfxRr4I3kJoIrByju7PZS0B5jjNJRES2ySRzAdvb36t51o//l7UYljAOIOcSNF/XYpLQ9ovNSEnXYNHwFmha2RfY+DGw/SugRHlg5B7ApYSpi0lERCYQy7mATZMBDAsLM8Xbkg35Zft5Ffw1q+yrC/4iTwI7p+ju7PoFgz8iIrJpJqsCJioqt+NTMO8/3XSDIzoE6cb8WzEa0KQCNboAtTi/LxER2TaTT8GRlJSk2v5FRkZmG/9P2gcS5dfsnWFITE1HvQpeqv0fQn8Dwv8FnDyArl9K+wJuVCIismkmDQDXrFmDZ599Fjdv3sx2nyW0ASTzE5eUijm7Lqjbr7SvBruEKGD9/3R3dhgH+ASYtoBERES2Pg7gyJEj8cQTT6hhYST7Z/jH4I8KQqp+Y5PSEOTvgUfrlgXWvQ8k3gbK1Aeav8yNSkREZOoAUKp9x4wZgzJlynBn0ANLSk3HL9t1HYxebl8N9he2AYfmSz4ZeHwK4GDyFg9ERERmwaQBYL9+/bBlyxZTFoGsyJ/7LuHmnWRU8HFDz3q+98b8azoUqNjY1MUjIiIyGyZNifzwww+qCnj79u2oX7++GhDa0KuvvmqyspFlSU3X4Ket59Xt4e2qwmnXFCDqLOBZBuh0tw0gERERmT4A/OOPP7B27Vq4ubmpTKB+UGghtxkAkrH+PngVV6IT4efpgv5VkoCfv9Hd8dhngKs3NyQREZG5BIDvv/8+JkyYgLFjx2aaHYQoP9I1WkzdclbdfqF1ZbisGQ2kpwDVHgHq9ubGJCIiysKkUVdKSgoGDBjA4I8eyNpj13D+Rjy8XB0x2HM3cGE74OgGdPuKY/4RERGZWwA4ePBgLFy40JRFIAsnc0j/uFmX/RverCRcN91t79f+HaBkZdMWjoiIyEyZtApYxvr74osvVDvA4ODgbJ1AvvnmbjsuolxsOX0Dx67Gwt3ZAUMTZwMy8HPpOkCLkdxmRERE5hgAHjlyBCEhIer20aNHM91n2CGEKDdT72b/xtaJgsuRP3Qru08GHDL/mCAiIiIzCQA3b95syrcnC7cn7Bb2XrgNDwcNBkVO1q1sPASo1NzURSMiIjJr7HpLFuuHu9m/bwO2wvHWacDDH3j4Q1MXi4iIyOwVewA4fPhwXLp0yajHSgeRefPmFXmZyPIcuRyDbadvoKr9dTxyY65u5aOTALeSpi4aERGR2Sv2KmB/f3/Uq1cPLVu2RI8ePdCkSROUL18erq6uuH37No4fP44dO3ZgwYIFqFChAmbMmFHcRSQLoBv3T4tpJefBLj4ZqNoeqN/P1MUiIiKyCHZaGUejmEVGRmLmzJkqyMva+aNEiRJ4+OGH8eKLL6Jz584wZ7GxsfD29kZMTAy8vLxMXRybcTYyDo98uw2P2+3Ed84/Ag4uwIh/gVJBpi4aERFZgFh+f5umDWDp0qUxbtw4HDp0CFFRUThw4AB27tyJU6dOqSzg4sWLCxT8TZ06FVWqVFHZxMaNG6s5hnOjn3ou69/Jkycf8NNRUZu65RxKaO/gE7e7zQPavsXgj4iIyFJ6AQsfHx/196CkveDo0aNVENiqVSv89NNP6NKli6pSrlSpUq7Pk6DTMHsnVdRkvi7dSlDz/k5wXAiv9GjArybQ6lVTF4uIiMiiWE0vYBk0eujQoRg2bBhq166NyZMnIyAgANOmTbtvNrJs2bIZfw4ODsVWZsq/GdvOo4H2FJ5y3Khb0f1bwNGFm5KIiMjWAkCZU3j//v3Zqo1ledeuXXk+VwaiLleuHDp16sRxCc1cZGwSluwLw0SnmboVIU8DlVuZulhEREQWx+RVwIXh5s2balq5MmXKZFovy9euXcvxORL0SQ9jaSuYnJyM3377TQWB0jawbdu2OT5HHid/ho1IqfjM3BGGZ7UrUMv+ErTupWD3yMfc/ERERLYaAOY2fZx0cM5tSrmaNWuqP70WLVqo8Qm/+uqrXAPASZMm4aOPPirkUpMxohNSsHn3XvztuFQt23X+FHD35cYjIiKyxCrgtLQ0bNiwQXXaiIuLU+uuXr2KO3fuGP0afn5+qu1e1myfDDeTNSuYl4ceeghnzpzJ9X7puSxDvuj/jB3Qmh7cnJ1hGKf9BW52KdBWbgM0eJKblYiIyBIDwIsXL6J+/fro2bMnXnnlFdy4cUOt/+KLL/Dmm28a/TrOzs6qKnf9+vWZ1suyDDhtrNDQUFU1nBsXFxfVY9jwj4reneQ0XN65AB0cDiHd3gl20vEjl8wuERERmXkV8GuvvaZmApHxAEuVKpWxvnfv3qo3b36MGTMGzzzzjHo9qc6V9n3h4eFq6jl99u7KlSuYO1c3bZj0Eq5cuTLq1q2rOpH8/vvvWLJkifoj87J45zG8rZ0F2AF2rccAftVNXSQiIiKLZtIAUKZ8kwGgJYNnKDAwUAVr+TFgwAA1qPSECRMQERGhpptbtWqVei0h6yQg1JOgT7KM8j5ubm4qEFy5ciW6du1aSJ+OCkNSajrcd0xEabtoxHkEokSbMdywREREljgVnJ6vr68KAuvUqaOmgJNMYNWqVdW6vn374vr16zBnnEqm6K1eswKP/vs07O20SH3qbzhVb18M70pERNYsllPBmbYN4COPPKKqYvWkx650/hg/fjwzcYS01BQE/fe+Cv7OluvO4I+IiMgaqoC//fZbdOjQQWUAk5KSMGjQINULV3r1zp8/35RFIzNwfNkXCNaGIRqeqND/G1MXh4iIyGqYNAAsX748Dh48iAULFqiZPDQajZrO7amnnlLt8sh2aW6Ho/qx79Tt0Jqvo0NJ44fzISIiIjNuA7ht2zY1TIujo2O2sQFlCrfcBmQ2F2xDUES0WkTO6I3SEZuxH7VR/Z2t8HLjfL9ERFQ4YtkG0LRtAKX699atW9nWyyDLch/ZJu2Jf1Twl6J1wOEG4xn8ERERWVMAmNtUbTKci4eHh0nKRCaWHIeUf3SDgM/S9kCPRzqaukRERERWxyRtAPv06aP+l+BvyJAhaoYNvfT0dBw+fDhfM3iQFdn0KVwSr+OipjRuNX4VpTxZ9UtERGQVAaC3t3dGBlDG/zPs8CGDQsucvC+88IIpikamdPUgtHt+kgk/8KFmKCa2r839QUREZC0B4OzZs9X/MhWbzMbB6l6CJh345zXYaTX4O70lyoR0RTlv9gQnIiKyumFgZMBnImXPz0DEQcRq3fFp2tP4s10QNwwREZE1BoBi8eLF+PPPP9U8vTI/r6EDBw6YrFxUjGKuAJs+UTc/SxuIh4LroLIfOwERERFZZS/g7777Ds899xxKly6N0NBQNGvWDKVKlcL58+fRpUsXUxaNitOad4CUOOzXVMf89A54uT2zf0RERFYbAE6dOhUzZszADz/8oDp/vP3221i/fj1effVVNRYg2YBTq4ET/yAdDng3dSg61S6L2uW8TF0qIiIiq2bSAFCqffXDvUhP4Li4OHX7mWee4VzAtiAlHlj1lrr5S3pXnNJWwogO1UxdKiIiIqtn0gCwbNmyatBnERgYiN27d6vbYWFhaogYsnJbJgExl3DbuSwmp/ZGy6BSaFSppKlLRUREZPVMGgB27NgR//zzj7o9dOhQvP7663jkkUcwYMAA9O7d25RFo6J27Qjw71R18+3EwUiEK15h9o+IiMj6ewFL+z+NRqNuDx8+HL6+vtixYwcef/xxtUzWPObfaECbjpO+HbH+agM0DPBRGUAiIiKy8gDQ3t5e/en1799f/YkrV66gQoUKJiwdFZn9s4Er+6B19sTLUbr9Ldm/nOaFJiIiIiurAs7JtWvXMGrUKFSrxs4AVinuGrDhI3VzW8DLCEv2Qs0yJdCpVmlTl4yIiMhmmCQAjI6OxlNPPQV/f3+UL19ejQcoVcH/+9//ULVqVdUZZNasWaYoGhW1NeOA5FiklwvBmPON1aoRHYJgb8/sHxERkVVXAb/77rvYtm0bBg8ejDVr1qjOH/J/UlISVq9ejXbt2pmiWFTUzmwAji0F7OzxT8A7iArTILCUO7rVL8dtT0REZO0ZwJUrV2L27Nn46quvsHz5cjXkS40aNbBp0yYGf9YqJQFYOUbdTGs2HJMOOqnbw9sFwdHB7FoiEBERWTWTfPNevXoVderUUbelytfV1RXDhg0zRVGouGz7Aoi+CHhVxF/eg3E9NhllvVzRpxE7+hAREdlEACjt/ZycdBkg4eDgAA8PD1MUhYrD9ePAru/VzfTHPscPOyPU7RfaVoWLowP3ARERkS20AZQq3yFDhsDFxUUtS9s/GfcvaxC4dOlSUxSPCpOM87jidUCTBtTqjhUpIbgYdRAl3Z0wsFkAtzUREZGtBIDS+cPQ008/bYpiUHEInQtc2g04e0Lz6GeYOuecWv18qypwdzbpMJREREQ2yyTfwNIBhGzAnUhg/f90tzu8h40Rzjh1PQ6eLo54tmVlU5eOiIjIZrH7JRWdte8BSTFA2WBom72AHzafVaufaREIb7d7bUCJiIioeDEApKJxbjNw5E815h8en4JdYTE4dCkaLo72qvqXiIiITIcBIBW+1KSMMf/Q9AWgQiP8eDf7N7BZJfiX0HX+ISIiItNgAEiFb/vXwK3zQIlyQMf3cSD8Nnadi4KjvZ0a+oWIiIhMiwEgFa4bp4Ad3+pud/kccPXC1LvZv94hFVDBx41bnIiIyMQYAFLh0WqBFWMATSpQ4zGgdg+ciIjFhhORsLMDhrcP4tYmIiIyAwwAqfAc/AO4uANwcge6fgmJ+qZu0Y3717V+OQT5e3JrExERmQEGgFQ44qOAde/rbrcfC/hUQtjNeKw8fFWtGsHsHxERkdlgAEiFY/0HQOItoEw94KERatVPW89BowU61PRH3fLe3NJERERmggEgPbiw7cDBeQDsgO6TAQcnRMQkYsmBy+rukR2rcSsTERGZEQaA9GDSkoEVr+tuN3keCGiqbs7Ydh6p6Vo0r+KLxoG+3MpERERmhAEgPZgdk4GoM4BnGaCTbt7fqDvJmL8nXN1+pQOzf0REROaGASAV3M2zukGfxWOTADcfdXP2zgtIStUguKI32lT34xYmIiIyMwwAqeBj/q18HUhPBoI6AXX7qNWxSan49d8L6vaI9tVgJwMAEhERkVlhAEgFc/hPIGwb4OgKdPtajfknfvv3IuKS0lCttCc61ynDrUtERGSGGABS/iXcAta+q7vd7m3At4q6mZiSjlk7wjLG/bO3Z/aPiIjIHDEApPzbMB5IuAn41wJajMpYvWBvOKLiU1CxpBt6NCjPLUtERGSmGABS/lz8FzgwV3dbxvxzdFY3U9I0augXMbxdEBwdeGgRERGZK35Lk/HSUoAVo3W3Gz0LBLbIuGtZ6BVExCShdAkX9GtckVuViIjIjFlVADh16lRUqVIFrq6uaNy4MbZv327U83bu3AlHR0c0bNiwyMto0f79HrhxEnD3Ax7+KGN1ukaLaVvPqdsvtKkKVycHExaSiIiIbCYAXLhwIUaPHo333nsPoaGhaNOmDbp06YLwcN2AxLmJiYnBs88+i06dOhVbWS3SrfPA1i90tx+dCLjfm91j1ZEIhN2Mh7ebEwY1r2S6MhIREZFtBYDffPMNhg4dimHDhqF27dqYPHkyAgICMG3atDyf99JLL2HQoEFo0eJedSblNObfm0BaElClHRDc3+AuLX7cfFbdfq5VZXi4OHLzERERmTmrCABTUlKwf/9+dO7cOdN6Wd61a1euz5s9ezbOnTuH8ePHG/U+ycnJiI2NzfRnE44tBc5tBBxcgO7fZoz5JzafisTJa3HwcHbAkJaVTVpMIiIisqEA8ObNm0hPT0eZMpkHHpbla9eu5ficM2fOYOzYsZg3b55q/2eMSZMmwdvbO+NPMoxWLzEaWD1Wd7vtm0CpoEzZvx826bJ/Tz8UCB93XY9gIiIiMm9WEQDqZZ12TAKUnKYik2BRqn0/+ugj1KhRw+jXHzdunGozqP+7dOkSrN7GCUB8JFCqOtDqtUx37T5/CwfCo+HsaI+hrXWDQRMREZH5s4oGW35+fnBwcMiW7YuMjMyWFRRxcXHYt2+f6iwycuRItU6j0aiAUbKB69atQ8eOHbM9z8XFRf3ZjEt7gX2zdLcflzH/Mn/2qVt02b/+TSqitJerKUpIREREtpoBdHZ2VsO+rF+/PtN6WW7ZsmW2x3t5eeHIkSM4ePBgxt/w4cNRs2ZNdbt58+bFWHozlZ56d8w/LdDwKaBy60x3H7oUje1nbsLB3g4vtb1XLUxERETmzyoygGLMmDF45pln0KRJE9Wjd8aMGWoIGAns9NW3V65cwdy5c2Fvb4969eplen7p0qXV+IFZ19us3VOB60cBN1/gkY+z3a3v+duzYXkE+LqboIBEREQEWw8ABwwYgKioKEyYMAEREREqkFu1ahUCAwPV/bLufmMC0l23LwJbPtPd7vwJ4FEq06Y5fT0O645fV52BR7Rn9o+IiMjS2Gml4RsViAwDI72BpUOIVCtbBTkc/hgAnFkLBLYGhqzINOyLGL0gFMsOXkWXemUx7enGJisqERFRQcRa4/e3LbYBpEJ0Yrku+LN3yjbmnwiPSsDyQ1fV7RHtq3HTExERWSAGgHRPUiyw+h3d7davA/7Zh8iZvu0cNFqgbQ1/1K/oza1HRERkgRgA0j17fwbiIgDfqkCbN7JtmWsxSVi877K6PbIDs39ERESWigEg3Wv7d2iB7nbrMYBT9nH9ftl+HinpGjStXBLNqvhyyxEREVkoBoCkczUUuHkacHQF6vTMtlVux6dg3n+6XtQjmP0jIiKyaAwASefwQt3/NbsCrtl7RM3eGYbE1HTULe+F9jX8udWIiIgsGANA0s36cWSxbks0eDLbFolLSsWcXRfU7Vc6VMtxfmUiIiKyHAwACTi3CUi4Cbj7AUHZ50CWqt/YpDRU9ffAo3XLcosRERFZOAaAdK/zR/1+gINTpi2SlJqOX7aHqdsvtwtSc/8SERGRZWMAaOtk7L9Tq3S3gwdku/vPfZdw804yKvi4oVdIheIvHxERERU6BoC2Tmb+SEsC/GoA5UMy3ZWarsFPW8+r2y+1qwonBx4uRERE1oDf6LZOX/0r2b8snTv+PngVV6IT4efpgv5NAkxTPiIiIip0DABtWcxl4MIO3e3g/pnuStdoMXXLWXV7WJsqcHVyMEUJiYiIqAgwALRlh/+UKUCAwNaAT6VMd609dg3nb8TDy9URTzXPfB8RERFZNgaAtjz1m37w5waZO39otVr8uFmX/RvSsjJKuGbuGUxERESWjQGgrYo4BNw4mePUb1tO38Cxq7Fwc3LAkFZVTFZEIiIiKhoMAGHrU791AVy9M9019W72T6p+fT2cTVE6IiIiKkIMAG1Retq9qd+yjP23J+wW9l64DWcHewxrU9U05SMiIqIixQDQFp3fDMRHAu6lgGoPZ7rrh7vZv76NK6Kst6uJCkhERERFiQGgLY/9V69vpqnfjlyOwbbTNyCzvcm0b0RERGSdGADamuQ44ORK3e3gJzPdpR/37/EG5VGplLspSkdERETFgAGgrTnxD5CWCJSqBlRolLH6bOQdrDl2Td0e0b6aCQtIRERERY0BoM1O/fZkpqnfpm89p4YGfKROGdQsW8J05SMiIqIixwDQlsRcAcK2ZZv67fLtBCwLvaJuj2jPtn9ERETWjgGgLTmySDf1W6WWQMnAjNU/bzuPNI0WLYNKIaRSSZMWkYiIiIoeA0Abn/rtRlwyFuy9pG6/0oFt/4iIiGwBA0Bbce0IEHkccHAB6vTKWD1rZxiS0zRoEOCjMoBERERk/RgA2tzUb48Bbj7qZkxiKn7796K6/Ur7INgZdAohIiIi68UA0GamfluUbey/33dfxJ3kNNQo44mHa5cxXfmIiIioWDEAtAVhW4A71wE334yp3xJT0jFzR1jGuH/2Mv0HERER2QQGgLbg0N3q33p9AEdndXPB3nDcik9BgK8bugeXM235iIiIqFgxALR2yXeAkysyVf+mpGkwY9t5dfultkFwdOBhQEREZEv4zW8LU7+lJgC+QUDFJmqVDPocEZME/xIu6Ne4oqlLSERERMWMAaC1O6yf+m2AmvotXaNV076JF9pUgauTg2nLR0RERMWOAaA1i40Azm/NNPXbmqPXcP5mPLzdnDCo+b3ZQIiIiMh2MAC0hanfAh4CfKtAq9Xix81n1V1DWlaGp4ujqUtIREREJsAA0Jplmfpty+kbOB4RC3dnBxUAEhERkW1iAGitrh0Frh8FHJyBur3Vqql3s3+DmlVCSQ/dcDBERERkexgAWnvnjxqPAm4lsSfsFvZeuA1nB3sMa1PV1KUjIiIiE2IAaI006cCRxZnG/pu6RZf969u4Isp6u5qydERERGRiDACtUdhWIC5CZf5QvTOOXonBllM3ILO9DW/H7B8REZGtYwBozVO/1dVN/TZti27cv8cblEdgKQ/Tlo2IiIhMjgGgtUmJ183+IRo8iXM37mDV0Qi1+HL7INOWjYiIiMwCA0Brc2IFkBoPlKwCVGyK6VvOQasFHq5dGrXKepm6dERERGQGGABa8dRvV2KS8FfoFbU4okM105aLiIiIzAYDQGsSdw04v0V3O7g/ft52HmkaLVpULYVGlUqaunRERERkJqwqAJw6dSqqVKkCV1dXNG7cGNu3b8/1sTt27ECrVq1QqlQpuLm5oVatWvj2229h0WToF60GqNgMN10qYsHecLX6FWb/iIiIyIDVTAa7cOFCjB49WgWBEtj99NNP6NKlC44fP45KlSple7yHhwdGjhyJ4OBgdVsCwpdeekndfvHFF2HR1b8NBmD2zjAkpWrQoKI3WlUrZeqSERERkRmx02qli4Dla968ORo1aoRp06ZlrKtduzZ69eqFSZMmGfUaffr0UQHgb7/9ZtTjY2Nj4e3tjZiYGHh5mbiDxfXjwLQWgL0T4kYdQ8vJBxGXnIbpTzfGY/XKmrZsREREZiTWnL6/TcQqqoBTUlKwf/9+dO7cOdN6Wd61a5dRrxEaGqoe265du1wfk5ycrA4awz9znPpt7sE4FfxVK+2JznXKmLpkREREZGasIgC8efMm0tPTUaZM5mBHlq9du5bncytWrAgXFxc0adIEr7zyCoYNG5brYyWTKL8Y9H8BAQEwm6nfDi9SN5PrPIFZO8LU7RHtg2Av038QERERWVsAqGdnlznYkdrtrOuyko4i+/btw/Tp0zF58mTMnz8/18eOGzdOpYv1f5cuXYJZuLAdiLsKuPrgz9g6iIpPQcWSbmrmDyIiIiKr7ATi5+cHBweHbNm+yMjIbFnBrKTXsKhfvz6uX7+ODz/8EAMHDszxsZIplD9znfotvU4vTNuuC0pfahcEJweriu+JiIiokFhFhODs7KyGfVm/fn2m9bLcsmVLo19HMobSzs+ipCQAJ5arm1tdO+JqTBL8PF3wROOKpi4ZERERmSmryACKMWPG4JlnnlFt+Vq0aIEZM2YgPDwcw4cPz6i+vXLlCubOnauWf/zxRzU8jIz/J2QYmK+++gqjRo2CRTm5Eki5A23JyvjksPRkSsCwNlXg6uRg6pIRERGRmbKaAHDAgAGIiorChAkTEBERgXr16mHVqlUIDAxU98s6CQj1NBqNCgrDwsLg6OiIoKAgfPbZZ2osQItyt/fv2bJdcT40AV6ujniqefZxD4mIiIisbhxAmxxHKO468E0tNfvHiz4/Yd21Eni1YzWM6Vyz+MtCRERkIWJN/f1tBqyiDaDNOqqb+i22VAMV/Lk5OWBIK12nFiIiIqLcMAC0ZId1vX8XpbZS/w9qXgm+Hs4mLhQRERGZOwaAliryJBBxCBo7R/wQGQwnBzu80KaqqUtFREREFoABoKW62/njkGtT3IYX+jaqiLLerqYuFREREVkABoCWSKPJmPptRkwzyGxvMvAzERERkTEYAFqiizuA2MtIsPfAJk0IugWXRxU/D1OXioiIiCwEA0BLdHfqt79TmyEZzhjRntk/IiIiMh4DQEsjU78d/1vdXJrWBp1qlUbtcrY5hhERERHZ+EwgNuPUKiAlDpe0/tinrYHFHaqZukRERERkYZgBtNCx//5Kb4VmVfzQOLCkqUtEREREFoYBoCW5Ewnt2Y3q5l/pbfAKs39ERERUAAwALcnRJbDTpuOgJgie5WuhTXU/U5eIiIiILBADQAuSfnC++n9pemu80iEIdnZ2pi4SERERWSAGgJbixik4XDuEVK0Djvp0Quc6ZU1dIiIiIrJQDAAtRFqobuq3rZpgDOrYGPYy/QcRERFRATAAtAQaDZIO6Kp/t7p2Qs+G5U1dIiIiIrJgDAAtQNqFnfBMikCs1g212j0BJwfuNiIiIio4RhIW4NKW2er/TfYt0bd5dVMXh4iIiCwcA0Azp0lOgH/4at1Cgyfh6uRg6iIRERGRhWMAaOYOb1oATyTgKvzQ6dGepi4OERERWQEGgGZMq9Ui5W7nj/AK3VHCzcXURSIiIiIrwADQjO0+cgohKfvV7ZqdXzB1cYiIiMhKMAA0Yyc3zIGTXTquuNdCycB6pi4OERERWQkGgGZq/8VbCIleq257Nn3a1MUhIiIiK8IA0EwtWbcFDe3PIx0O8G76pKmLQ0RERFaEAaAZOn41FuUu/q1uJwd2ADz9TV0kIiIisiIMAM3Qz1vPoJf9TnXbvclAUxeHiIiIrAwDQDP0QYM4BNjfQLqTJ1Crm6mLQ0RERFaGAaAZ8j27VP3vULcX4ORm6uIQERGRlXE0dQEoB61fB7wqAEEduXmIiIio0DEANEe+VYD275i6FERERGSlWAVMREREZGMYABIRERHZGAaARERERDaGASARERGRjWEASERERGRjGAASERER2RgGgEREREQ2hgEgERERkY1hAEhERERkYxgAEhEREdkYBoBERERENoYBIBEREZGNYQBIREREZGMcTV0AS6bVatX/sbGxpi4KERERGSn27ve2/nvcFjEAfABxcXHq/4CAgMLaH0RERFSM3+Pe3t42ub3ttLYc/j4gjUaDq1evokSJErCzs4O1/CqSgPbSpUvw8vKCtePntW7cv9aN+9e6FeX+1Wq1KvgrX7487O1tszUcM4APQA6aihUrwhrJyWYLAaAeP6914/61bty/1q2o9q+3jWb+9Gwz7CUiIiKyYQwAiYiIiGwMA0DKxMXFBePHj1f/2wJ+XuvG/WvduH+tm63t3+LGTiBERERENoYZQCIiIiIbwwCQiIiIyMYwACQiIiKyMQwAiYiIiGwMA0BStm3bhscff1yNii6zmixbtsxqt8ykSZPQtGlTNYNL6dKl0atXL5w6dQrWatq0aQgODs4YTLVFixZYvXo1bIXsbzmmR48eDWv14Ycfqs9o+Fe2bFlYsytXruDpp59GqVKl4O7ujoYNG2L//v2wRpUrV862f+XvlVdegTVKS0vD+++/jypVqsDNzQ1Vq1bFhAkT1OxbVHg4Ewgp8fHxaNCgAZ577jn07dvXqrfK1q1b1YVTgkC50Lz33nvo3Lkzjh8/Dg8PD1gbma3ms88+Q7Vq1dTyr7/+ip49eyI0NBR169aFNdu7dy9mzJihAmBrJ/tyw4YNGcsODg6wVrdv30arVq3QoUMH9WNGfsidO3cOPj4+sNbjOD09PWP56NGjeOSRR/DEE0/AGn3++eeYPn26ulbJcb1v3z713SQzd7z22mumLp7VYABISpcuXdSfLVizZk2m5dmzZ6svEMketG3bFtZGMruGPv30U5UV3L17t1UHgHfu3MFTTz2Fn3/+GZ988gmsnaOjo9Vn/QwDBJkjVs5dwyyZtfL398+0LD/ogoKC0K5dO1ijf//9V/1I7datW8a+nT9/vgoEqfCwCphsXkxMjNoGvr6+Vr8tJIuwYMEClfGVqmBrJlle+QJ5+OGHYQvOnDmjmnBItdmTTz6J8+fPw1otX74cTZo0URkw+fEWEhKiAn1bkJKSgt9//x3PP/+8qga2Rq1bt8bGjRtx+vRptXzo0CHs2LEDXbt2NXXRrAozgGTTtFotxowZoy449erVg7U6cuSICviSkpLg6emJv/76C3Xq1IG1kiD3wIEDqurMFjRv3hxz585FjRo1cP36dZXxbNmyJY4dO6bayFkbCW4liy3n7rvvvos9e/bg1VdfVTNGPPvss7Bm0j47OjoaQ4YMgbV655131A/zWrVqqaYM8sNVai4GDhxo6qJZFQaAZNNGjhyJw4cPq1+X1qxmzZo4ePCg+uJYsmQJBg8erNpCWmMQeOnSJdVOaN26dXB1dYUtMGy+Ub9+fRXsSxWhtKGSIMnaSGcAyQBOnDhRLUsGUIJdCQqtPQCcOXOm2t+S7bVWCxcuVFnOP/74QzVTkWuXdOKSzyzXLiocDADJZo0aNUpVJUkPaOkoYc2cnZ0zOoHIF6dkxqZMmYKffvoJ1kbackZGRqJx48YZ6ySDIPv5hx9+QHJyslV3kBDSmUkCQakWtkblypXL9uOldu3a6seNNbt48aLq6LN06VJYs7feegtjx45VTRmEHMvy2aVHPwPAwsMAkGyy2leCP6kG3bJli2ozZYvbQAIha9SpUydV5W1IehBKdZJULVl78Cdk3544cQJt2rSBNZIewFmHbpL2YoGBgbBm+g5r+s4R1iohIQH29pm7KMh5y2FgChcDQMroMXn27NmMrREWFqbS7tIxolKlSlbXOUCqFv7++281FuC1a9fUehliQMacsjbSRkqqjKTXZFxcnGofJ4Fv1t7Q1kL2adb2nJIRk7Zw1trO880331S9veVcleyntAGMjY212mzJ66+/rto4ShVw//79VRtAGe5H/qyVBD8SAMo+lR7f1kyOZWnzJ8ezVAHLkFXffPON6vhChUhLpNVqN2/erJXDIevf4MGDrW775PQ55W/27Nlaa/T8889rAwMDtc7Ozlp/f39tp06dtOvWrdPaknbt2mlfe+01rbUaMGCAtly5clonJydt+fLltX369NEeO3ZMa83++ecfbb169bQuLi7aWrVqaWfMmGHqIhWptWvXquvUqVOntNYuNjZWna+VKlXSurq6aqtWrap97733tMnJyaYumlWxk38KM6AkIiIiIvPGcQCJiIiIbAwDQCIiIiIbwwCQiIiIyMYwACQiIiKyMQwAiYiIiGwMA0AiIiIiG8MAkIiIiMjGMAAkIiIisjEMAInI7LVv3x52dnbqT6YozI8hQ4ZkPHfZsmV5Plbmly1btqyaMq84NW3aFEuXLi3W9yQi28YAkIgswgsvvICIiIgc5/Pt3Lmzmix+9+7d2e6bMmWKep4x3nvvPTVXtMwnXBgB62effZbtvq5du6r7Pvzww4x1H3zwAcaOHcvJ7omo2DAAJCKL4O7urrJzjo6OmdaHh4fj33//xciRIzFz5sxsz/P29lbPu5/Lly9j+fLleO655wqlvAEBAZg9e3amdVevXsWmTZtQrly5TOu7deuGmJgYrF27tlDem4jofhgAEpFFkyCre/fuePnll7Fw4ULEx8cX6HX+/PNPNGjQABUrVsxYN2fOHPj4+GDFihWoWbOmCkL79eun3uPXX39F5cqVUbJkSYwaNQrp6emZXk/KFBUVhZ07d2Z6PclWli5dOtNjJXspmcH58+cXqOxERPnFAJCILJZWq1UB4NNPP41atWqhRo0aKpAriG3btqFJkybZ1ickJOC7777DggULsGbNGmzZsgV9+vTBqlWr1N9vv/2GGTNmYPHixZme5+zsjKeeeipTFlACwOeffz7H92/WrBm2b99eoLITEeUXA0AislgbNmxQAdqjjz6qliUQzKka2BgXLlxA+fLls61PTU3FtGnTEBISgrZt26oM4I4dO9T71KlTR2X6OnTogM2bN2d77tChQ1VAKhlDCTClmleqe3NSoUIFVZ2t0WgKVH4iovxgAEhEFkuCsAEDBmS0Cxw4cCD+++8/1Zs3vxITE+Hq6pptvVT7BgUFZSyXKVNGVf16enpmWhcZGZntucHBwahevbrKDs6aNQvPPPMMnJyccnx/Nzc3FfwlJyfnu+xERPnFAJCILNKtW7fUsC5Tp05VAaD8SRYtLS1NBVv55efnh9u3b2dbnzVgkx68Oa3LLXMnVb4//vijCgJzq/7Vfx4JNiUQJCIqagwAicgizZs3T3XYOHTokBobUP83efJk1UFDAsH8kCre48ePF3o5Bw0ahCNHjqjha6TKODdHjx5Fo0aNCv39iYhyknk8BSIiC6r+lfZ4WccFDAwMxDvvvIOVK1eiZ8+eRr+etCMcNmyY6s0rvXILi/QSlnEIc6v61ZMOINJDmIioODADSEQWZ//+/Srz17dv32z3ySDOEkjltzOIDMMiQZp0LClsMpSMh4dHrvdfuXIFu3btKrQxCImI7sdOK+MoEBGZMZlZo2HDhqp6t6Cknd5ff/2FXr165foYaU/4999/F/uAzG+99ZbqISzDyRARFQdmAInIIkhwJj1vpT1dfgwfPjxTj928vPjii2qol+KeC1gGhv7444+L9T2JyLYxA0hEZk+qSGWYFlGpUiU1yLKxZHiW2NhYdVumYMurKpaIyFYwACQiIiKyMawCJiIiIrIxDACJiIiIbAwDQCIiIiIbwwCQiIiIyMYwACQiIiKyMQwAiYiIiGwMA0AiIiIiG8MAkIiIiAi25f+iVrE1g9LbfAAAAABJRU5ErkJggg==' 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(df.a[1:6], df.rate[1:6], label='Actual data')\n",
    "ax.plot(df.a[1:6], fitted_rates_Bfix, label='Fitted data')\n",
    "ax.legend(loc='best')\n",
    "ax.set_ylabel('Rate (mM/min)')\n",
    "ax.set_xlabel('[A] (mM)')\n",
    "ax.set_title('Initial rates of fitted and actual data at constant [B] = 24 with varied [A]')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "f893dc90-f16e-410a-8152-bc6a6b8ca63a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'Initial rates of fitted and actual data at constant [A] = 8 with varied [B]')"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "e194faf3936046dbaf59a359fa14aef6",
       "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 src='data:image/png;base64,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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(df.b[6:11], df.rate[6:11], label='Actual data')\n",
    "ax.plot(df.b[6:11], fitted_rates_Afix, label='Fitted data')\n",
    "ax.legend(loc='best')\n",
    "ax.set_ylabel('Rate (mM/min)')\n",
    "ax.set_xlabel('[B] mM')\n",
    "ax.set_title('Initial rates of fitted and actual data at constant [A] = 8 with varied [B]')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "56fd4d85-008c-4b54-bc4d-06d8f0383e6a",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.13.12"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
