bio-plots/biophys-intro/unfolding.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from scipy.integrate import simpson\n",
    "from scipy.misc import derivative\n",
    "from math import log, exp\n",
    "\n",
    "R = 8.314\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## One Step unfolding"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Predicted Tm2: \n",
      "222.72727272727272\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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GxcUBULVq1Vy3JSKlU+TfC+DrWwlMjeCi4cLG5m/TesTcEhOUwI5HlvLi448/xsHBgd69e5OamkrXrl2z/aF2dHRk4cKFDBkyhNDQUMqVK8fAgQN56623iqwmd2dHdr3VtcjWf71t51VGRgY//PADo0ePzja9S5cueHh4MGvWLLp06UJ8fHyOb5YRERG0bZvz0GlBDsPlpZ5nnnmGgwcP5qmmkydPctNNN9nm3XTTTZw4kfNHU68cCXN3d8fHx4e6detes/681FujRg0yMjJITk6+5iHD7du38/TTTzN79mxmzJjBhx9+yKxZswBo0aJFjp8iO3PmDMeOHbtuWKpateoNBZTctrNjxw569uzJp59+yrPPPsuoUaNYuHAhp0+fpk+fPjz77LO2tpGRkVSvXp0qVaoUuBYRsT+ZGRlsnD6atkcn42AxOOxQA8uD02jTqPg+hJNXpSosrVq1KtvXbm5uTJo0iUmTJl1zmZo1a7Jo0aIirux/LBZLvg6FmWXhwoXExMTQtGlTIiMjs83r0KEDU6ZMoXLlyjg4OFw1MpKenk5kZCRDhgzJcd0FOQyXl3qeeeYZwsPDC1RTYctLvUuWLMHb25shQ4YwevRoDMNgzZo1dOrUiXr16nHhwgVSUlIYOXIkAI0aNeLHH3+0radr166MGTOGc+fOZbvGWEREBFD0J3dfazvnz5/HMAzbJQ0Ann/+ecqXL09sbOxVJ6+vXbuWLl26FGmtIlKynD55hNhpjxCath0ssLHC3QQ++S3u5cqbXVqOSv67tphiypQpANx5553XbDNz5kzq1auHp2f2Tyjs2rWL1NTUQn2zzks927dvJyIiIk81+fv7ZxtJOnHiBG3atCnWek+cOMEff/zBqFGjaN26NS4uLoSEhNC3b18ga3SmSZMmtkOZERERBAYG2pYPDAykZcuWzJkzh6effto2fcuWLfj6+l7z5O/Ccq3t7Ny5k9atW9u+3rFjB6+++iqQNYp0eR9SUlKYN28eS5YsKdJaRaTk2LH6N25a+QJNSCTZcGVX8Hja9Cief2QLymJc+blryZfExES8vb1JSEi46j/mlJQUDh06RK1atYr18gZyfRkZGTRq1IhVq1bZTvBet25dkX96LD+++eYbPvroIyIjI0lMTOSOO+7gt99+o06dOrY2f/75J6NGjSIyMrLQL/5ZUN999x3R0dG8/vrrANSqVYtDhw4B8Pbbb1OtWjXbqNNXX33F77//nusVv/V7JFI6ZKSnsWnaKNoen46DxeCgw804PTydGvWDTKknt/fvK2lkScokJycnPvzwQ26//XasVisvv/xyiQpKkDVSdvfddxMcHIxhGEycODFbUALo3r07+/bt48SJEyXmAqk7duywXcH72LFj2erasWNHtkNuzs7OfP7558Veo4gUr5jjBzg7fQCh6ZFZh90q96TZ4C9NvXZSfmhk6QZpZEmKSvv27Zk5c2aJCUFm0e+RiH3btmIONda8SEXOc8FwJ6rN2wR3L/zr2uWXRpZESoGSNFokIpJf6WmphH8/gpDoGQDsd6yDW98fCK7b1OTK8k9hSaSEOnjwoNkliIgUyKkje0n4cQAhGbsB2FD1AYIGf46rW86XSSnpFJZERESk0GxZNoPa/4yiGkkk4sGBkAm0vWuQ2WXdEIUlERERuWFpqSlETHmekNifAdjrVB/P/j/Sota1b5lkLxSWRERE5IacOLiHpJmPEpKxF4D1vg/T8vFPcXEtHR/KUFgSERGRAotYMp26YaO5yZJMAuU4dMsHhNzZz+yyCpXCkoiIiORbysUktk55jpAzv4IF9jg1osKAHwiqUd/s0gqdwpKIiIjky7H9kaTOGkBI5gEAwqo9QqvHPsLZxdXkyoqGwpKIiIjk2eY/J9Nw41g8LRc5R3mO3vYRobc/ZHZZRUphSURERK4rJfkC2yY/S9u4+WCB3c5NqDzwJ5pXr212aUVOYUlERERydSRqK5k/D6St9TBWw8LGgEG0GjgRJ2cXs0srFgpLIiIick2b5n9Fk4g38LCkEocXJzp9RkiH+8wuq1gpLImIiMhVkpMSifzuadrELwIL7HRpju+gHwn0r2l2acXOwewCRG7U2bNn8fHx4fDhw2aXcpWHH36YDz/80OwyRETy5fDucGI/bEeb+EVYDQvrA56k4csrqFIGgxIoLMl13HbbbTz++ONXTf/yyy/x9PTEarUW6bY++eQTypUrx1dffWWb9thjjzF27Fjb1++88w49e/bk5ptvBmDNmjXce++9+Pv7Y7FYmDdvXqHVmN+ax44dyzvvvENCQkKOy4eFhWGxWOjevXue1w9F8/0XETGsVjb+9hm+s+/iZusxzlCBXXf+QMjgD3B0KrsHoxSW5JoMw2DLli0EBwdfNW/z5s0EBQXh4FA4P0KXttWyZUsAkpOT6d+/PxMnTmTZsmUMGTIEgMzMTBYuXEiPHj1s7aZMmcLgwYNt60pKSqJ58+ZMmjSpQLV07NiRadOmFUrNTZs2pU6dOvz00085rmPKlCn07duX5cuXc/LkyRzXXxzffxGRpPPxbP60D222v467JY0dri2xDPmbprf2MLs005XdmCjXtW/fPs6fP3/NN+vbb7+90LfVsmVLDh06xH333YeHhwfh4eFUq1bN1m7dunU4OzvTunVrABYtWoSrqyshISG2Nt26daNbt26FVtuN1nzvvfcye/Zshg4dmm35Cxcu8PPPP7N8+XLOnTvHtGnTePXVV69af3F8/0WkbDsYuQHHXx+ntXGcTMPCplpDaPPo2zg4OppdWomgf0uLm2FAWpI5D8PIV6nh4eE4OjrSvHnzbNMvXrzIrl27bCMql3v33Xfx9PTM9XH06NFrbismJoZWrVrRtm1bVq1alS10ACxYsIB7770Xi8UCwNq1a3MME8UhrzW3adOGjRs3kpqamm36nDlz8PPzo02bNvTv35/vv/8e47J9VJDvv4hIfhhWKxvmfoj/3O7UNI4TSyX23jWLkEETFJQuo5Gl4paeDO/6m7PtV0+CS7k8N4+IiCAzMxMPD48c5+f0Zv3MM8/w0EO5X8nV3//q/kdERADwwAMP8Pnnn/Pss8/muOz8+fP5+OOPbV8fOXIkx/UVh7zW7O/vT1paGtHR0dSs+b+TI6dMmUL//v0B6NWrF08//TSrV6+mY8eOtvXn9/svIpJX5xPiiJo8mLbnV4AFtru1JmDwDzSqatJ7VAmmsCTXFBERwX333ce4ceOyTZ89ezafffYZjRs3vmqZSpUqUalSpQJtq3PnzkRGRhIeHp5jm927d3Py5Ek6depkm3bx4kXc3Nzyvb3Lvfvuu7z77rvZ1rl+/XqGDRtmm7Zr1y5q1KiR75oB3N3dgaxzmi6Jiopi3bp1tnOjPD096dmzJ1OmTMkWlvL7/RcRyYv92/7Bbd5gWhmnyDAc2FxnGG36v6nRpGtQWCpuzh5ZIzxmbTsfIiIiGD9+PEFBQdmmf/nllzRr1gzHHH6prgweOblW8HjzzTd55513aN++PQ0bNmTUqFHZ2ixYsIA777wzWziqUqUK586dy1e/rnTlaFj//v3p3bs3999/v23atUbDrlczQFxcHABVq1a1TZsyZQqtW7emXr162bb74IMP8sUXX+Dt7V2g77+ISG4Mq5UNc96n5e6JuFgyiKYK8d2/IaRNZ7NLK9EUloqbxZKvQ2FmOXjwIPHx8Tke6omIiKBt27Y5LleQw3CXbys4OJipU6fSv39/6tevT8+ePW3t5s+fz1NPPZVt2RYtWlzzk2Z5deVomLu7Oz4+PtStW/eay+S1ZoDIyEiqV69OlSpVAMjIyOCHH35g9OjR2dp16dIFDw8PZs2aRZcuXQr0/RcRuZaE+LPs/24QIUlrwAJbPUKpNXg6fpV9zS6txFNYkhyFh4fj4OBw1ahGeno6kZGRto/yX6kgh+HCw8OxWCy2bfXp04edO3fSv39//v77b4KCgoiNjWXz5s0sWLAg27Jdu3ZlzJgxnDt3jooVKwJZnzLbv3+/rc2hQ4fYunUrlSpVumpEq6DyUvMla9eupUuXLravFy5cSExMDE2bNiUyMjLbejt06MCUKVOoXLlygb7/IiI5iYpYTfk/niTYiCHNcCSi/nDa9h2LRZcfyROFJclRREQE9erVw9PTM9v0Xbt2kZqaWqgnF1/aVvny5W3Txo8fz65du+jRowcbN27kzz//pE2bNrbRmUsCAwNp2bIlc+bM4emnnwau/lj9iy++CMDAgQPzdP2kwqrZz8+PlJQU5s2bx5IlS2ztpkyZAsCdd955zfXPnDmz2L7/IlJ6GVYr62e9S/Dej3CxZHLS4sOFHt8R0rKj2aXZFYth5PPz5JJNYmIi3t7eJCQk4OXllW1eSkoKhw4dolatWjd8EnJZ16NHD2699VZefvnlq+b9+eefjBo1isjIyBJ3kcavvvqK33//naVLl5pdit3S75FIwSScjeHglEG0SF4HwJZy7an9xDS8K1a5zpJlQ27v31fSyJLYhVtvvZW+ffvmOK979+7s27ePEydOEBAQUMyV5c7Z2ZnPP//c7DJEpIzZs2k5Ff58ihacIc1wYkujl2jz0Cs67FZAGlm6QRpZEila+j0SyTtrZiYbZr5Fq/2f42zJ5ITFj4s9J1M3qL3ZpZU4+RlZstuI+dVXX9GsWTO8vLzw8vIiNDSUxYsX2+anpKQwdOhQKleujKenJ7179yYmJibbOo4ePUr37t3x8PDAx8eHUaNGkZGRUdxdERERuWHnTp9i+wfdCD3wCc6WTCLK347X8DAFpUJgt2GpevXqvPfee4SHh7N582buuOMOevbsyc6dOwEYMWIEf/zxB3PnzmX16tWcPHky23VzMjMz6d69O2lpaaxbt47p06czbdq0qy4AKCIiUtLtWv8XaZNuIejiBlINZzY2eZ0WI36jvHf+LxIsVytVh+EqVarE+++/zwMPPEDVqlWZOXMmDzzwAAB79uyhUaNGhIWFERISwuLFi7nnnns4efIkvr5Z15j4+uuveeWVVzh9+jQuLi552qYOw4kULf0eiVybNTOTDT++TutDX+FksXLM4k9676nUbhpy/YXLuDJxGO5ymZmZzJ49m6SkJEJDQwkPDyc9PZ3Onf93RdKGDRtSo0YNwsLCAAgLCyMwMNAWlCDrmj2JiYm20amcpKamkpiYmO1xPVar9QZ6J1K26fdHJGdnYo4T+f6dhB6ehJPFSrjXnVQasU5BqQjY9afhduzYQWhoKCkpKXh6evL777/TuHFjtm7diouLCxUqVMjW3tfXl+joaACio6OzBaVL8y/Nu5YJEyYwfvz4PNXn4uKCg4MDJ0+epGrVqri4uGCxWPLRQ5GyyzAM0tLSOH36NA4ODnke7RUpCyL/WYjvsmE04xwXDRcim4+lVa/n9Gm3ImLXYalBgwZs3bqVhIQEfvnlFwYOHMjq1auLdJtjxoyxXeQQsobxrvVxdQcHB2rVqsWpU6c4edKk+8GJ2DkPDw9q1KhR4q6hJWKGzIwMNv4whjZHvsPRYnDEIQDjgam0btza7NJKNbsOSy4uLrb7dwUHB7Np0yY+/fRT+vTpQ1paGvHx8dlGl2JiYvDz8wPAz8+PjRs3ZlvfpU/LXWqTE1dXV1xdXfNVY40aNcjIyCAzMzPPy4kIODo64uTkpBFZEeDMqaNET32U0LStYIFNFbrR9IlvcffM/XwbuXF2HZauZLVaSU1NJTg4GGdnZ5YvX07v3r0BiIqK4ujRo4SGhgIQGhrKO++8Q2xsLD4+PgAsW7YMLy8vGjduXKh1WSwWnJ2dcXZ2LtT1iohI2bBj7XyqLX+epsSTbLiyq+UbtO451Oyyygy7DUtjxoyhW7du1KhRg/PnzzNz5kxWrVrFX3/9hbe3N4MHD+bFF1+kUqVKeHl58dxzzxEaGkpISNaJb126dKFx48Y8+uijTJw4kejoaMaOHcvQoUPzNXIkIiJSVDLS09k4fTQhx6bgYDE45FAThz4/0KpBkNmllSl2G5ZiY2MZMGAAp06dwtvbm2bNmvHXX3/Zbk768ccf4+DgQO/evUlNTaVr1658+eWXtuUdHR1ZuHAhQ4YMITQ0lHLlyjFw4EDeeusts7okIiJiE3PyCLHTBtDu0mG3SvcS+MTXuHl4XndZKVyl6jpLZsjPdRpERETyYsvq+QSsfI4qJJBsuLK79X8Ivudps8sqVXQjXRERETuUnp5O2LQx3HJ8Mo4Wg8OONXF++AeC6wWZXVqZprAkIiJSApw6eZTYqY/SIX0rWCCi0j00fuJr3DzKm11amaewJCIiYrLNq/6gxqrnaM45knFlX6vxtLxniNllyb8UlkREREySlp7BP1NfpcOJb3G0GBx1rIHTwz/QvF4Ls0uTyygsiYiImODE8aPETB/I7ekRYIFtlbrR6InvcNFhtxJHYUlERKSYbVj5Bzevfo6WnOMiLhxsPZ7m3Z81uyy5BoUlERGRYpKSlsHqaW/Q6cSXOFmsHHcMwOnhH2hSr6XZpUkuFJZERESKwZGTMRyd9jhd0/4GC+ys3IX6T0zB2V3X6CvpFJZERESK2Mq//6bGsqdobzlBOo4cCh5Lk3tGgG4SbRcUlkRERIpISnomv/70JT0Pv42nJYU4h8pYH5xO/UbtzS5N8kFhSUREpAgciIkn4vsR9E/9DSxw1CsY/8EzcfL2M7s0ySeFJRERkUK2cOMuKvz5NA9atgNwvNET1Hjgv+Cot117pL0mIiJSSC6mZfLZ3CU8EDWSOg6nSLG4ktp9EtVbPWh2aXIDFJZEREQKwb6Y83wzfRpjkyZQwSGJ8y4+eAz6BTf/5maXJjdIYUlEROQGGIbB3PDjbF3wBRMs3+FsyeR8lSDKD5wD5X3NLk8KgcKSiIhIASWlZvD67zvw2fE17zrPBiCl4f2U7/0VOLuZXJ0UFoUlERGRAth9KpHnZmymT/x3POm8CACj3XDc7nxT108qZRSWRERE8sEwDGZtPMZbf+xgPN/Sx2lV1owub2Np95yptUnRUFgSERHJo/Mp6bz6eyR/bDvBu05T6OO0CsPiiKXnJAjqa3Z5UkQUlkRERPIg8kQCw2ZGcPhsEm85T6ef4woMiwOW+76BZro0QGmmsCQiIpILwzD4cf0R3l64m7RMK+PKzWNA5lLAkjWipKBU6iksiYiIXEPCxXTG/LadRTuiAXi9+jYePzM3a+Y9H0FQPxOrk+KisCQiIpKDbcfiGTYrgmNxF3F2tPBx2yS6b/0oa+atI6DV4+YWKMVGYUlEROQyhmHw/T+HeW/xbtIzDapXdOfrXjfRdEF3sKZD415wxzizy5RipLAkIiLyr/jkNEb9sp1lu2IAuKuJH/+9vwnecx+ApNPg0wR6fQUODiZXKsVJYUlERASIOHqO52Zu4UT8RVwcHRh7TyMeDamJZe2HcHgtOJeDh6aDi4fZpUoxU1gSEZEyzWo1+G7tQd7/K4oMq0HNyh5M6teSpjd5Q+weWP3frIbdP4Aq9cwtVkyhsCQiImVWXFIaL83dxoo9sQDc06waE+4PpLybM1gzYf5QyEyDel2huS46WVYpLImISJm08VAcz8/aQnRiCi5ODrx5bxP6tgnAcum+buHT4MRmcPWCez7W/d7KMIUlEREpU6xWg69WH+CjZXvJtBrUrlKOSf1b0qia1/8apSTAynezXt8xFrxvMqdYKREUlkREpMw4cyGVET9vZe2+MwDc1+Im3u7VlHKuV7wdrv0Iks9A5Xq6npJgt599nDBhAq1bt6Z8+fL4+PjQq1cvoqKisrVJSUlh6NChVK5cGU9PT3r37k1MTEy2NkePHqV79+54eHjg4+PDqFGjyMjIKM6uiIhIMQg7cJa7P13L2n1ncHN2YGLvZnz0UPOrg1LCcVj/ZdbrLm+Do3PxFyslit2GpdWrVzN06FDWr1/PsmXLSE9Pp0uXLiQlJdnajBgxgj/++IO5c+eyevVqTp48yf3332+bn5mZSffu3UlLS2PdunVMnz6dadOmMW6cLjYmIlJaZFoNPvm/vfSfvJ7Y86nU8/FkwbBbeaj1ZecnXe6fz7JO6q55K9TvWvwFS4ljMQzDMLuIwnD69Gl8fHxYvXo1HTp0ICEhgapVqzJz5kweeOABAPbs2UOjRo0ICwsjJCSExYsXc88993Dy5El8fX0B+Prrr3nllVc4ffo0Li4u191uYmIi3t7eJCQk4OXldd32IiJSfGLPpzB89lbWHTgLwIPB1RnfswkeLtc4C+VCLHwSCBkpMGA+1O5YfMVKscrP+7fdjixdKSEhAYBKlSoBEB4eTnp6Op07d7a1adiwITVq1CAsLAyAsLAwAgMDbUEJoGvXriQmJrJz584ct5OamkpiYmK2h4iIlDx/7zvD3Z+uZd2Bs3i4OPLRQ815/8Hm1w5KAGGTsoLSTa2g1m3FV6yUaKXiBG+r1crw4cO55ZZbaNq0KQDR0dG4uLhQoUKFbG19fX2Jjo62tbk8KF2af2leTiZMmMD48eMLuQciIlJYMjKtfPJ/+5i0aj+GAQ39yvNFv5bU9fHMfcHU87BpStbrDi/pUgFiUypGloYOHUpkZCSzZ88u8m2NGTOGhIQE2+PYsWNFvk0REcmb6IQU+k3ewBcrs4JS3zY1mDf0lusHJYDtcyDtPFSuC/XvKvpixW7Y/cjSsGHDWLhwIWvWrKF69eq26X5+fqSlpREfH59tdCkmJgY/Pz9bm40bN2Zb36VPy11qcyVXV1dcXV0LuRciInKjVkbFMnLONuKS0ijn4siE3s3o0dw/bwsbBmz+Put1q8EaVZJs7HZkyTAMhg0bxu+//86KFSuoVatWtvnBwcE4OzuzfPly27SoqCiOHj1KaGgoAKGhoezYsYPY2Fhbm2XLluHl5UXjxo2LpyMiInJD0jOtTFi8m8embiIuKY0m/l4sfL593oMSwLGNEBMJTu4QpNuaSHZ2O7I0dOhQZs6cyfz58ylfvrztHCNvb2/c3d3x9vZm8ODBvPjii1SqVAkvLy+ee+45QkNDCQkJAaBLly40btyYRx99lIkTJxIdHc3YsWMZOnSoRo9EROzAifiLPD9rC+FHzgEwILQmr97dCDdnx/yt6NKoUmBvcK9YyFWKvbPbSwfkeG0MYOrUqQwaNAjIuijlyJEjmTVrFqmpqXTt2pUvv/wy2yG2I0eOMGTIEFatWkW5cuUYOHAg7733Hk5OecuRunSAiIg5/m9XDCPnbiPhYjrlXZ347wPNuDuwWv5XlHoBPqgH6cnwxHKo3qrwi5USJz/v33YblkoKhSURkeKVlmFl4pI9TP77EADNqnvzRd+W1KjsUbAVbp8Dvz0JlWrDcxE6X6mMyM/7t90ehhMRkbLnWFwyw2ZtYduxeAAev6UWo7s1xMXpBk7B3TE36znwIQUlyZHCkoiI2IUlkacY9ct2zqdk4OXmxAcPNqdLk5w/uZxnSWdg/78fBAp88MaLlFJJYUlEREq01IxM3v1zN9PDjgDQokYFPu/bguoVC3jY7XI7fwcjE/xbQJW6N74+KZUUlkREpMQ6fCaJYbMiiDyRdWuppzvU5qWuDXB2LKQr3+xekPXctHfhrE9KJYUlEREpkRZuP8noX3dwITWDih7OfPhQc+5o6Hv9BfPq4jk4/E/W64b3FN56pdRRWBIRkRIlJT2T/yzcxYwNRwFofXNFPuvbgmre7oW7ob1Lsw7B+TSGSrWu317KLIUlEREpMQ6cvsDQGRHsiT6PxQLPdqzDiM71cSqsw26Xi/oz67nB3YW/bilVFJZERKREmLflBK/+voPktEwql3Ph4z5BdKhftWg2lpH6v0/BNVRYktwpLImIiKkupmXy5oKd/Lz5GAAhtSvx6cMt8PVyK7qNHloLaRegvD9Ua1F025FSQWFJRERMsy/mPENnRrA35gIWCzx/Rz2e71QPR4civjjkwZVZz/XuBAe7vae8FBOFJRERMcXczccYN38nF9MzqVrelU/7BNGubpXi2fih1VnPtToUz/bEriksiYhIsUpKzeD1+ZH8FnECgFvrVuHjPkFULe9aPAUkx0F0ZNZrhSXJA4UlEREpNnuiExk6I4IDp5NwsMCLd9bn2Y51cSjqw26XO/w3YEDVhuDpU3zbFbulsCQiIkXOMAxmbzrGmwt2kpphxdfLlc8ebkHb2pWLv5jDa7OeNaokeaSwJCIiRepCagav/raDBdtOAnBb/ap89FBzKnsW02G3Kx1ak/V8c3tzti92R2FJRESKTOSJBIbNjODw2WQcHSyM6tqAp9rXLt7Dbpe7EAun9wAWuPlWc2oQu6OwJCIihc4wDH5af4T//LmbtAwr/t5ufN6vBcE1K5lb2KVRJb+m4GFyLWI3FJZERKRQJaakM/rX7SzaEQ1A50Y+vP9AcyqWczG5Mv53vtLNOl9J8k5hSURECs324/EMnRnBsbiLODtaeOWuhgy+tRYWi0mH3a50aWRJJ3dLPigsiYjIDTMMg6n/HGbC4t2kZxpUr+jOF/1aEhRQwezS/ifhOMQdBIsD1Aw1uxqxIwpLIiJyQxKS0xn1yzaW7ooB4K4mfvz3gWZ4uzubXNkVDv17CM6/Bbh5m1uL2BWFJRERKbCIo+d4buYWTsRfxMXRgde6N2JAaM2Sc9jtcrbzlXTJAMkfhSUREck3q9Vg8t8HmbgkigyrQc3KHnzRtyWB1UvoiI1h6HwlKTCFJRERyZdzSWmMnLuNFXtiAejerBrv3R9IebcSdtjtcucOQ8IxcHCGGiFmVyN2RmFJRETybNPhOJ6ftYVTCSm4ODnwxr2N6demRsk87Ha5S6NK1VuBSzlzaxG7o7AkIiLXZbUafLX6AB8t20um1aB2lXJ80a8ljf29zC4tb3S+ktwAhSUREcnVmQupvDhnG2v2ngagV5A/b98XiKernbyF6HwluUF28pMuIiJmWH/wLM/P2kLs+VTcnB14q0dTHmxVveQfdrvcmX1wIQYcXaF6a7OrETuksCQiIlfJtBp8sWI/ny7fi9WAuj6eTOrXkgZ+5c0uLf8Orc56rtEWnN3MrUXsksKSiIhkE3s+heGzt7LuwFkAHgyuzvieTfBwsdO3DN0PTm6Qnf7ki4hIUfh73xmG/7yVMxdScXd25J37mnJ/y+pml1VwVuv/rtyt85WkgBzMLuBGrFmzhnvvvRd/f38sFgvz5s3LNt8wDMaNG0e1atVwd3enc+fO7Nu3L1ubuLg4+vfvj5eXFxUqVGDw4MFcuHChGHshImK+jEwrHy6N4tHvN3DmQioN/crzx3O32ndQAojdBRfjwLkc3NTS7GrETtl1WEpKSqJ58+ZMmjQpx/kTJ07ks88+4+uvv2bDhg2UK1eOrl27kpKSYmvTv39/du7cybJly1i4cCFr1qzhqaeeKq4uiIiYLjohhX6TN/D5iv0YBvRtE8C8obdQ18fT7NJu3KVPwdUMBccSfNFMKdHs+jBct27d6NatW47zDMPgk08+YezYsfTs2ROAH374AV9fX+bNm8fDDz/M7t27WbJkCZs2baJVq1YAfP7559x999188MEH+Pv7F1tfRETMsCoqlhfnbCMuKY1yLo68e38gPYNuMruswqPrK0khsOuRpdwcOnSI6OhoOnfubJvm7e1N27ZtCQsLAyAsLIwKFSrYghJA586dcXBwYMOGDTmuNzU1lcTExGwPERF7k55p5b9L9jBo6ibiktJoXM2Lhc+3L11ByZoJh//Jeq3zleQG5GtkacGCBfnewJ133om7u3u+l7tR0dHRAPj6+mab7uvra5sXHR2Nj49PtvlOTk5UqlTJ1uZKEyZMYPz48UVQsYhI8TgZf5HnZm0h/Mg5AB4Nqclr3Rvh5uxocmWF7NQ2SE0AV2+o1tzsasSO5Sss9erVK18rt1gs7Nu3j9q1a+druZJszJgxvPjii7avExMTCQgIMLEiEZG8W747hpFztxGfnE55Vyf++0Az7g6sZnZZRePSIbia7cChlAVBKVb5Pmcpp9GYaylf3ryLl/n5+QEQExNDtWr/+0MQExNDUFCQrU1sbGy25TIyMoiLi7MtfyVXV1dcXV2LpmgRkSKSlmFl4pI9TP77EADNqnvzRd+W1KjsYXJlRUi3OJFCkq9zlgYOHJivQ2qPPPIIXl7m3GSxVq1a+Pn5sXz5ctu0xMRENmzYQGhoKAChoaHEx8cTHh5ua7NixQqsVitt27Yt9ppFRIrCsbhkHvwmzBaUHr+lFnOfCS3dQSkzHY5knZ9KLZ3cLTcmXyNLU6dOzdfKv/rqq3y1z68LFy6wf/9+29eHDh1i69atVKpUiRo1ajB8+HDefvtt6tWrR61atXj99dfx9/e3HU5s1KgRd911F08++SRff/016enpDBs2jIcfflifhBORUmFJZDQv/7KNxJQMvNyc+ODB5nRpkvPIealyfDOkJ4FHZfBpYnY1Yufs+tIBmzdv5vbbb7d9felcooEDBzJt2jRefvllkpKSeOqpp4iPj+fWW29lyZIluLn9795AM2bMYNiwYXTq1AkHBwd69+7NZ599Vux9EREpTKkZmUxYtIdp6w4D0KJGBT7v24LqFUvxaNLlDq7Meq51GziU2g9+SzGxGIZh5LXx5Sc2X89HH31UoILsTWJiIt7e3iQkJJh2yFFE5HJHziYxbOYWdpxIAOCpDrUZ1bUBzo5lKDRMvhOOb4Qen0PLAWZXIyVQft6/8zWytGXLljy1s1gs+VmtiIgUkj+3n2L0r9s5n5pBRQ9nPnyoOXc09L3+gqVJSgKc+Pdc1NodTS1FSod8haWVK1cWVR0iInIDUtIzefvPXfy0/igArWpW5PN+LajmXfzXuTPd4b/ByIRKdaBCDbOrkVLArs9ZEhEROHj6AkNnbmH3qaw7CjzbsQ4v3lkfp7J02O1yB1dlPWtUSQrJDYWl+Ph4pkyZwu7duwFo3LgxgwcPxtvbu1CKExGR3M3feoJXf9tBUlomlcu58FGfIG6rX9Xsssx14N+jIHVuz72dSB4V+N+OzZs3U6dOHT7++GPi4uKIi4vj448/pk6dOkRERBRmjSIicoWLaZmM/nU7L8zeSlJaJiG1K7HohfYKSgnH4ew+sDjo5rlSaAo8sjRixAh69OjBd999h5NT1moyMjJ44oknGD58OGvWrCm0IkVE5H/2x55n6IwtRMWcx2KB5+6oxwud6uHooA/XsP/fCxH7twT3CqaWIqVHgcPS5s2bswUlyLoJ7csvv0yrVq0KpTgREcnul/DjvD4vkovpmVTxdOWzh4NoV7eK2WWVHFGLs57r32VuHVKqFDgseXl5cfToURo2bJht+rFjx0y9J5yISGmUnJbB2HmR/BZxAoBb61bh4z5BVC2ve1XapCX/72KUDbqZW4uUKgUOS3369GHw4MF88MEHtGvXDoB//vmHUaNG0bdv30IrUESkrNsTncjQGREcOJ2EgwVGdK7Ps7fX1WG3Kx1aDRkp4F0DfHWLEyk8BQ5LH3zwARaLhQEDBpCRkYFhGLi4uDBkyBDee++9wqxRRKRMMgyDnzcd440FO0nNsOLr5cqnD7cgpHZls0srmaIWZT036Aa6OLIUonzd7iQnycnJHDhwAIA6derg4VFG7jv0L93uRESKwoXUDF77fQfzt54E4Lb6VfnooeZU9tRhtxxZrfBhA0iKhUd/hzp3mF2RlHBFdruTK6WkpBAZGUlsbCxWq5VDhw7Z5vXo0eNGVi0iUmbtPJnAsJlbOHQmCUcHCy91acDTHWrjoMNu13ZsQ1ZQcvWCmreaXY2UMgUOS0uWLOHRRx/l7NmzV82zWCxkZmbeUGEiImWNYRj8tOEo/1m4i7QMK9W83fi8bwta3VzJ7NJKvshfsp4b3gNOLubWIqVOgS9K+dxzz/HQQw9x6tQprFZrtoeCkohI/iSmpDNs5hZenxdJWoaVTg19WPR8ewWlvMjMgJ3zsl4H9ja1FCmdCjyyFBMTw4svvoivbxm7m7WISCHbfjyeYTO3cDQuGScHC6O7NWTwrbWw6CTlvDm0CpLPgEdlqNXR5GKkNCpwWHrggQdYtWoVderUKcx6RETKDMMwmLbuMO8u2k16psFNFdz5ol8LWtSoaHZp9mXLjKznJveBo+4PL4WvwD9VX3zxBQ8++CBr164lMDAQZ2fnbPOff/75Gy5ORKS0SkhO5+Vft/HXzhgAujbxZWLv5nh7OF9nSckm6Qzs/iPrdcsB5tYipVaBw9KsWbNYunQpbm5urFq1KttwscViUVgSEbmGLUfPMWzmFk7EX8TF0YFX727IwHY367BbQWybBdZ08G8B1ZqbXY2UUgUOS6+99hrjx49n9OjRODgU+DxxEZEywzAMJq89xH+X7CHDalCjkgeT+rUksLq32aXZJ2smbJqS9Tp4kKmlSOlW4LCUlpZGnz59FJRERPLgXFIaL83dxvI9sQB0b1aNCfcH4uWmw24FtnsBnDsE7hUh8EGzq5FSrMBJZ+DAgfz888+FWYuISKm0+XAcd3+2luV7YnFxcuDtXk35om8LBaUbYRjw9ydZr9s8BS7lTC1HSrcCjyxlZmYyceJE/vrrL5o1a3bVCd4fffTRDRcnImLPrFaDr9cc4MOle8m0GtSqUo4v+rWgib8Ou92wvX/Bqa3g5J4VlkSKUIHD0o4dO2jRogUAkZGR2ebpJEURKevOXkjlxTnbWL33NAA9g/x5575APF310fYblpkB//dG1uu2T0G5KubWI6VegX9rV65cWZh1iIiUGusPnuWF2VuISUzFzdmB8T2a8FCrAP0jWVgipsPpPeBeCW590exqpAzQvzgiIoUk02owaeV+Pvm/vVgNqOvjyaR+LWngV97s0kqPhOOw7N9RpY6jwb2CqeVI2aCwJCJSCGLPpzDi5638sz/r5uIPBFfnrZ5N8HDRn9lCY82E+cMg7TxUbwOtnzC7Iikj9FssInKD/tl/hhdmb+XMhVTcnR15u1dTegdXN7us0mflu3BwJTi5Qc8vwMHR7IqkjFBYEhEpoEyrwafL9/H5in0YBjTwLc+k/i2o66PDboUufDqs/SDrdY/PoWoDc+uRMiXf11kaN24c4eHhRVGLiIjdiElMod936/lseVZQ6tsmgPnDblFQKgqbpsAfL2S9vuUFaPaQufVImZPvkaXjx4/TrVs3XFxcuPfee+nRowedOnXCxcWlKOoTESlxVu89zYiftxKXlEY5F0fevT+QnkE3mV1W6ZOWBEtfh83/3tKk9ZPQeby5NUmZZDEMw8jvQlarlX/++Yc//viD+fPnc+rUKe6880569uzJPffcQ6VKlYqi1hIpMTERb29vEhIS8PLyMrscESlCGZlWPly2l69WHQCgUTUvJvVrQe2qniZXVsoYBkQthiWjIf5I1rQ7xkL7l0CXX5BCkp/37wLd7sTBwYH27dszceJEoqKi2LBhA23btuWbb77B39+fDh068MEHH3DixIkCdcAMkyZN4uabb8bNzY22bduyceNGs0sSkRLkZPxFHv52vS0oPRpSk9+fbaegVJiS42DzVPimA8zumxWUvKrDI79Ch1EKSmKaAo0s5eb06dMsWLCABQsW0L59e1566aXCXH2R+PnnnxkwYABff/01bdu25ZNPPmHu3LlERUXh4+OT67IaWRIp/VbsieHFOduIT06nvKsT7/VuRvdm1cwuy75ZrZB4HE5HwbENcCQs69manjXfuRy0eRLajwQ3/W2Vwpef9+9CD0v2qG3btrRu3ZovvvgCyDrMGBAQwHPPPcfo0aNzXVZhSco8w4DMdMhIAcMKGFnTDCPra9s06/+mmVtwnlumZ1r5evUBZm88BkADPy/e6tmE6hXdC7hps//c/rtfLt9Hl++bq14bV+/THKf/u58zUyE9JetnISMF0i9CRmrWuUfJZyD5LCSdgQsxEHcoq/2V/AKh6QPQcgB4lJ1TOqT45ef9u8xfOiAtLY3w8HDGjBljm+bg4EDnzp0JCwu7qn1qaiqpqf/7BU9MTCyWOkVMYxhwMgKObYRT2yHxBJyPznrjS78IGRdLQAAqGs7Ac8Bzbv9OiAemm1ZO6ePgDJVqwU2toEYI1LwFqtQ1uyqRq5T5sHTmzBkyMzPx9fXNNt3X15c9e/Zc1X7ChAmMH69PY0gZkJmedf5I2OcQf/QGVmQBi0PW+SYWh3+/LtnnnmRaDdKt1qxBKAs4Ozjg6HCp5pJd+3VduR8slsteX75/LttvV72+xnJObuDs9u+z+/+end3Bowp4VM56eFaFirXAOwAcy/zbkNgB/ZTm05gxY3jxxf/duDExMZGAgAATKxIpAueOwOz+ELMj62sXT7i5Pfi3gIo3Q3m/rDu9O3v8703Rye3fN9TLglEJD0VXSs3I5L3Fe5j6z2EAggIq8HnfFgRU8jC3MBExVZkPS1WqVMHR0ZGYmJhs02NiYvDz87uqvaurK66ursVVnkjxSzgBU7tlHW5zrwS3vwotHskKRaXY0bPJDJ0ZwY4TCQA82b4Wo7o2xMWpQB8aFpFSpMz/FXBxcSE4OJjly5fbplmtVpYvX05oaKiJlYmYIDMDfu6fFZSq1Idn1mZ9IqmUB6VFO07R/bO17DiRQAUPZ6YMbMVr3RsrKIkIUICRpfvvv//6K3Vyws/PjzvvvJN77723QIUVpxdffJGBAwfSqlUr2rRpwyeffEJSUhKPPfaY2aWJFK/1X8LJLeDmnXVtG+/SfTPYlPRM3v5zFz+tzzonq1XNinzWtwX+FUp3OBSR/Ml3WPL29r5uG6vVyr59+5g8eTIvvfQSb731VoGKKy59+vTh9OnTjBs3jujoaIKCgliyZMlVJ32LlGopibD2w6zXXd6BCjXMraeIHTqTxNAZEew6lfWJ1mc71mHEnfVxdtRokohkV6TXWVq4cCHPPvssR4/eyCdpSjZdZ0lKjb8/hv97EyrXg6EbwMHR7IqKzPytJ3j1tx0kpWVSuZwLH/UJ4rb6Vc0uS0SKUZHf7gRg1qxZ15w3atQoAG699VZatWpV0E2ISHExDIj4Iev1LS+U2qCUkp7J6F+388LsrSSlZdK2ViUWvdBeQUlEclXgsDRkyBAWL1581fQRI0bw008/AVChQgV+++23glcnIsXj2AaIO5h1iYCm1z8v0R7tjz1Pzy/+YfamY1gs8Hynesx4oi2+Xm7XX1hEyrQCh6UZM2bQt29f/v77b9u05557jjlz5rBy5cpCKU5Eiknkv//UNOoBLuXMraUI/Bp+nHs//4eomPNU8XTlp8FtefHO+jjp/CQRyYMCX2epe/fufPnll/To0YNly5YxZcoU5s+fz8qVK6lfv35h1igiRckwYO+SrNeN7jG3lkKWnJbBuPk7+SX8OAC31K3Mx32C8Cmv0SQRybsbuihlv379iI+P55ZbbqFq1aqsXr2aunV1Xx8Ru3JmL8QfAUcXqHWb2dUUmqjo8wydGcH+2As4WGB45/oMvb3uZbctERHJm3yFpctv83G5qlWr0rJlS7788kvbtI8++ujGKhOR4nHg38PmNW8BV09zaykEhmEwZ/Mx3liwk5R0K75ernz6cAtCalc2uzQRsVP5CktbtmzJcXrdunVJTEy0zbfY2f2gRMq0Yxuynm++xdw6CsGF1AzG/r6DeVtPAtChflU+fqg5lT11iyIRKbh8hSWduC1SCh3bmPUc0NbcOm7QrpOJDJsZwcEzSTg6WBjZpT7PdKiDgw67icgNytdHQbZv347Vas1z+507d5KRkZHvokSkmCScgMTjYHEA/5ZmV1MghmHw0/oj9PryHw6eSaKatxs/PxXCsx3rKiiJSKHIV1hq0aIFZ8+ezXP70NDQUn31bhG7d/zfUSXfpnZ5vlJiSjrDZm1h7LxI0jKsdGrow6Ln29Pq5kpmlyYipUi+DsMZhsHrr7+Oh4dHntqnpaUVqCgRKSbHNmU9B7Qxt44C2HE8gWGzIjhyNhknBwujuzVk8K21dM6kiBS6fIWlDh06EBUVlef2oaGhuLvr7t0iJdaJzVnP1e0nLBmGwfR1h3l30R7SMq3cVMGdL/q1oEWNimaXJiKlVL7C0qpVq4qoDBEpdoYBsbuzXvsFmltLHiUkp/Pyr9v4a2cMAF0a+/L+A83x9nA2uTIRKc1u6KKUImLHEo5DaiI4OEHlkn8x2a3H4hk2M4Lj5y7i7Gjh1bsbMajdzTrsJiJFTmFJpKy6NKpUpT44uZhbSy4Mw2DK34d4b/EeMqwGNSp58EW/FjSrXsHs0kSkjFBYEimrYndlPfs0MreOXMQnp/HS3G383+5YALoHVmNC70C83HTYTUSKj8KSSFlVwsNS+JE4npu5hZMJKbg4OfD6PY15pG0NHXYTkWKnsCRSVtnCUmNz67iC1WrwzZqDfLA0ikyrQa0q5fiiXwua+HubXZqIlFH5Dkvly5enRYsWBAcH07JlS1q2bEnjxo31356IPcnMgNN7s16XoLB09kIqL87Zxuq9pwHoGeTPO/cF4umq/+tExDz5/gv03//+l/DwcFasWMEXX3yB1WrF3d2dZs2aZQtQzZs3L4p6RaQwnDsEmang7AEVappdDQAbDp7l+dlbiElMxdXJgbd6NuGhVgH6R0xETJfvsPTss8/aXl+8eJFy5crx3HPPERcXx/r165k8eTJpaWlkZmYWaqEiUohidmY9V20IDvm661Ghy7QafLlyPx//316sBtSpWo4v+wfTwK+8qXWJiFxyQ2Pbl67O3bdvX5o1awZARkYGu3btuvHKRKToXLpsgK+5h+BOn09lxM9b+Xv/GQB6t6zOf3o1wcNFh91EpOQo9L9ITk5OtuAkIiVUCTi5e93+Mzw/eytnLqTi7uzIf3o15YHg6qbVIyJyLfr3TaQsMvGyAZlWg0+X7+PzFfswDGjgW54v+rWgnq8Ou4lIyZTvsPTEE08QHBxMq1atbCNIOgFTxI6kX4S4g1mvi3lkKSYxhRdmb2H9wTgAHm4dwBv3NsHdxbFY6xARyY98h6V9+/Yxd+5czp8/j5NT1uLjx4+nY8eOtGzZkqCgIDw8PAq9UBEpJGf2gmEF90rg6Vtsm12z9zQjft7K2aQ0yrk48u79gfQMuqnYti8iUlD5DkurV68GskJTeHg4ERERREREMG7cOOLj43F0dKR+/frs3Lmz0IsVkUJw6eRun8ZQDKPCGZlWPlq2ly9XHQCgUTUvJvVrQe2qnkW+bRGRwlDgc5bq1atHvXr1ePjhh23TDh06RHh4OLNmzSqU4kSkCFy6bEAxnK90KuEiz8/awqbD5wB4JKQGY7s3xs1Zh91ExH4U2gne58+fZ9myZUyePJnw8PDCWq2IFLZiumzAij0xjJyzjXPJ6ZR3dWJC70DuaeZfpNsUESkKNxyW1qxZw5QpU/jll18oV64c7du3V1gSKckufRKuatGMLKVnWnn/ryi+XZN1EnngTd580a8FNSuXK5LtiYgUtQJdujc6Opr33nuPevXqcffdd5ORkcHcuXM5efIk48ePL+waRaSwJMdB4oms10UwsnT8XDIPfRNmC0qD2t3ML0NCFZRExK7lOyzde++91K5dm7Vr1/Lmm28SExPDjBkzuPvuu3Fyciq2ywi88847tGvXDg8PDypUqJBjm6NHj9K9e3c8PDzw8fFh1KhRZGRkZGuzatUqWrZsiaurK3Xr1mXatGlFX7yIWWIis54r1AQ370Jd9dKd0dz96Vq2HI3Hy82Jrx8J5s0eTXB10vlJImLf8n0Y7s8//6Rfv34MHz6cVq1aFUVNeZKWlsaDDz5IaGgoU6ZMuWp+ZmYm3bt3x8/Pj3Xr1nHq1CkGDBiAs7Mz7777LpB1Qnr37t155plnmDFjBsuXL+eJJ56gWrVqdO3atbi7JFL0ov8NS36BhbbKtAwrExbvZuo/hwFoHlCBL/q2IKCSLiEiIqVDvkeW1q1bh7u7O3fccQcNGjTgrbfe4sCBA0VRW67Gjx/PiBEjCAzM+Y/+0qVL2bVrFz/99BNBQUF069aN//znP0yaNIm0tDQAvv76a2rVqsWHH35Io0aNGDZsGA888AAff/xxcXZFpPhE78h6LqSwdPRsMg98vc4WlJ5sX4u5T4cqKIlIqZLvsBQSEsJ3333HqVOneOWVV1i6dCn169cnJCSEzz//nJiYmKKoM9/CwsIIDAzE1/d/F93r2rUriYmJtmtAhYWF0blz52zLde3albCwsGuuNzU1lcTExGwPEbsR829Y8m16w6tatOMU3T9by/bjCVTwcGbygFa81r0xLk4FOhVSRKTEKvBftXLlyvH444/z999/s2vXLjp06MC77757VfgwS3R0dLagBNi+jo6OzrVNYmIiFy9ezHG9EyZMwNvb2/YICAgogupFikBGGpyOynrtV/CwlJKeyevzInl2RgTnUzMIrlmRRc+3p3Pj4rsauIhIcSqUfwEbNGjAxIkTOX78OL/99hvdu3cv0HpGjx6NxWLJ9bFnz57CKLnAxowZQ0JCgu1x7NgxU+sRybMzeyEzDVy9sk7wLoBDZ5Lo/dU6flx/BIAhHesw+6kQ/Cu4F2alIiIlSqFdlBLA0dGRXr160atXrwItP3LkSAYNGpRrm9q1a+dpXX5+fmzcuDHbtEuHCP38/GzPVx42jImJwcvLC3f3nP/4u7q64urqmqcaREqUkxFZz37NCnSbkwXbTjLm1+0kpWVSqZwLHz3UnI4NfAq5SBGRkqdQw9KNqlq1KlWrVi2UdYWGhvLOO+8QGxuLj0/WH/Rly5bh5eVF48aNbW0WLVqUbblly5YRGhpaKDWIlCjHN2U9V8/fp1hT0jMZ/8cuZm08CkCbWpX47OEW+Hm7FXaFIiIlUokKS/lx9OhR4uLiOHr0KJmZmWzduhWAunXr4unpSZcuXWjcuDGPPvooEydOJDo6mrFjxzJ06FDbyNAzzzzDF198wcsvv8zjjz/OihUrmDNnDn/++aeJPRMpIsf+DUsBbfK8yP7YCwybGcGe6PNYLPDc7XV5vlM9nBx1EreIlB0WwzAMs4soiEGDBjF9+vSrpq9cuZKOHTsCcOTIEYYMGcKqVasoV64cAwcO5L333sPJ6X8ZcdWqVYwYMYJdu3ZRvXp1Xn/99eseCrxcYmIi3t7eJCQk4OXldaPdEikaKQnwXk3AgJF7ofz1T8b+Nfw4Y+dFcjE9kyqernzSJ4hb61Up+lpFRIpBft6/7TYslRQKS2IX9v4FMx+CijfDC9tybZqclsG4+Tv5Jfw4AO3qVOaTh4PwKa/DbiJSeuTn/dtuD8OJSD4cWJn1XLtjrs32xpxn6IwI9sVewMECwzvXZ+jtdXF0KJ7bGImIlEQKSyJlwcFVWc/XCEuGYTB383HGLYgkJd2KT3lXPn24BaF1KhdbiSIiJZXCkkhpl3AcTu8GLFDrtqtmJ6Vm8NrvO5i39SQA7etV4eM+QVTx1CUyRERAYUmk9Ns1P+u5ZjvwqJR91slEhs2M4OCZJBwdLIzsUp9nOtTBQYfdRERsFJZESrudv2c9N+5lm2QYBjM3HmX8H7tIy7BSzduNz/q2oPXNlXJeh4hIGaawJFKanY7KuhilxQEa3QvA+ZR0xvy2g4XbTwFwR0MfPnywORXLuZhZqYhIiaWwJFKabZqc9Vy/G3hVI/JEAkNnRnDkbDJODhZeuashg2+tpcNuIiK5UFgSKa0uxMKWnwAwWj/BD+sO886fu0nLtHJTBXc+79eCljUqmlykiEjJp7AkUlqteR/Sk8mo1pJh67xYsmsnAF0a+/L+A83x9nA2uUAREfugsCRSGp0Itx2Ce/FsT5YkxuDsaOHVuxsxqN3NWCw67CYiklcKSyKlTXIcxi+PYzGszLfewoLEetSo5MEX/VrQrHoFs6sTEbE7CksipUlGKuk/D8L53GGOWavyRtoA7g70473ezfBy02E3EZGCUFgSKS0yUomf3pcKx1aTbLgy1PoSI3uF8kjbGjrsJiJyAxSWREoBa1Ic0d/2xj8hghTDmdfdX2XCgL408fc2uzQREbunsCRi584d203K9AfwzzhOouHODwFvM/7RQXi66tdbRKQw6K+piB3bv2I61da8QkUucsKowvYO3zL0jjt02E1EpBApLInYIWtqMrumPkvT6Kz7vm13bIx7vx/oVqeeyZWJiJQ+CksidibuyE4u/PQITdMPYjUsLK/6CO0Gf0A5dzezSxMRKZUUlkTsyN6lk6m+7jUqkcJZw4vIkA+4s1sfs8sSESnVFJZE7EBmahK7pzxD09gFAGx1DMSr/zRuq13X5MpEREo/hSWREu7soW0kz3iUphlHsg67+Qzi1sETcXdzMbs0EZEyQWFJpASLWvI1NdaPozKpnDYqEHXLR9zZpbfZZYmIlCkKSyIlUMbFRPZ8/zRNTy8CIMIpiMqPTuPWmrVMrkxEpOxRWBIpYU4fiCB15gCaZh4j07Cwotpg2j82ATdXHXYTETGDwpJISWEY7Fk0iZs3vUlV0okxKnKgwyfc2amX2ZWJiJRpCksiJUB6cgJ7pzxBk7NLAQh3bonPwOm0q17D5MpERERhScRkMfs2kzF7AE0yT5BhOLDqpqdo/9jbuDo7m12aiIigsCRiHsNg9x+fUjvibVxJJ5rKHL79Mzp3vMfsykRE5DIKSyImSEuKZ9/kx2lybjkAm1xa4z9wGiE3VTe5MhERuZLCkkgxi94ThjHnMZpYT5FuOLI6YAgdBo7HxVm/jiIiJZH+OosUF8Ng57wPqLftPVzI4CRVON75Szq372p2ZSIikgsHswsoiMOHDzN48GBq1aqFu7s7derU4Y033iAtLS1bu+3bt9O+fXvc3NwICAhg4sSJV61r7ty5NGzYEDc3NwIDA1m0aFFxdUPKkJTzcez8pCdNtr2NCxlsdA2BZ9bSRkFJRKTEs8uwtGfPHqxWK9988w07d+7k448/5uuvv+bVV1+1tUlMTKRLly7UrFmT8PBw3n//fd58802+/fZbW5t169bRt29fBg8ezJYtW+jVqxe9evUiMjLSjG5JKXVy5z/EfxxCk4TVpBmO/F/NEbQYtQh/P3+zSxMRkTywGIZhmF1EYXj//ff56quvOHjwIABfffUVr732GtHR0bi4ZF35ePTo0cybN489e/YA0KdPH5KSkli4cKFtPSEhIQQFBfH111/nabuJiYl4e3uTkJCAl5dXIfdK7JphEPnbezTY/j7OlkyO40NMl68IbtfZ7MpERMq8/Lx/2+XIUk4SEhKoVKmS7euwsDA6dOhgC0oAXbt2JSoqinPnztnadO6c/Y2ra9euhIWFXXM7qampJCYmZnuIXCkl8Qw7P76Xpjvew9mSyXq3W3Ee8reCkoiIHSoVYWn//v18/vnnPP3007Zp0dHR+Pr6Zmt36evo6Ohc21yan5MJEybg7e1tewQEBBRWN6SUOL5jNQkfh9AkcS2phhPLa42i1UsLrvpZExER+1CiwtLo0aOxWCy5Pi4dQrvkxIkT3HXXXTz44IM8+eSTRV7jmDFjSEhIsD2OHTtW5NsUO2G1EjnnLXx/uQ9f4zTH8GPX3b/SaeBYnJwcza5OREQKqERdOmDkyJEMGjQo1za1a9e2vT558iS333477dq1y3biNoCfnx8xMTHZpl362s/PL9c2l+bnxNXVFVdX1+v2RcqWi/GxHJo8gKYXwsACYe63UffxKbSoWtXs0kRE5AaVqLBUtWpVqubxzeXEiRPcfvvtBAcHM3XqVBwcsg+ShYaG8tprr5Geno7zv/fYWrZsGQ0aNKBixYq2NsuXL2f48OG25ZYtW0ZoaGjhdEjKhKNbl+M2/ykaG2dINZz5u+5LdOz3Mo6OJWrgVkRECsgu/5qfOHGCjh07UqNGDT744ANOnz5NdHR0tnON+vXrh4uLC4MHD2bnzp38/PPPfPrpp7z44ou2Ni+88AJLlizhww8/ZM+ePbz55pts3ryZYcOGmdEtsTOGNZPts9/A//cH8DHOcAR/9twzj06PjlZQEhEpRUrUyFJeLVu2jP3797N//36qV89+L61LV0Lw9vZm6dKlDB06lODgYKpUqcK4ceN46qmnbG3btWvHzJkzGTt2LK+++ir16tVj3rx5NG3atFj7I/Yn6Vw0Ryc/SrOkjWCBfzzuoOETk6lZqbLZpYmISCErNddZMouus1T2HAn/i3ILn6GKEUeK4cy6BqPp2OdFHDSaJCJiN/Lz/m2XI0siZjAyM9gxexxN9n6Jo8XgMDdxodcU7mihc9xEREozhSWRPLhw9gQnpjxCs+QIsMDf5brQ+IlvufnfDwuIiEjppbAkch2HNi7Ce/EQGhjxJBuubGj8Krc9+AIODhazSxMRkWKgsCRyDUZmBttnvkrg/m9xsBgctASQct/33N68jdmliYhIMVJYEslB4uljnPr+EZpf3AoWWFu+G4FPfE0F7wpmlyYiIsVMYUnkCgfCFlDpr6E0IJEkw5VNTcdx2wNDsVh02E1EpCxSWBL5l5GZzrYfX6HZoe9xsBjst9xMRu/v6RgYbHZpIiJiIoUlESAh5jAx3z9CUOoOsMAa73sJeuJLvMrr2lkiImWdwpKUefv++Y2qy56nPue5YLgT0fxN2t/3tA67iYgIoLAkZZg1PY3tP75E0NHpAOx1qA0PTKND4+YmVyYiIiWJwpKUSfGnDnJ6Wn+CUncBsKZCL1o+OQnPcp4mVyYiIiWNwpKUOXvXzMF3xQjqcYHzhjvbWr5N+x6DddhNRERypLAkZYY1PZXt00cQdHwGAHsc6uLUZxq3Ngg0uTIRESnJFJakTIg7sY9z0/sTlBYFwOpKD9Lqic8o5+FhcmUiIlLSKSxJqbdn5Uz8V79EHZJIMMoR2XoCt90z0OyyRETETigsSamVmZbC9qnP0+LUzwDsdqyPW98fuKVuI5MrExERe6KwJKXSmaN7SPzxEVqk7wNgTeWHaf3EJ7i7u5tcmYiI2BuFJSl1di//gYC1r1CFZOINT3aHTKRDt/5mlyUiInZKYUlKjYzUZHZ8/xwtYn4BYKdjI8r1n05o7QYmVyYiIvZMYUlKhdjDO0n66VFaZBwAYLXPI7R9/EPc3NxMrkxEROydwpLYvZ1Lv+fmdWPwIYU4ozx7b/mQ27r0MbssEREpJRSWxG6lpyQR+f2ztIidB8AOp6ZUeGQ6ITfXNbcwEREpVRSWxC7FHNzBxZmP0iLjEFbDwtpqAwl5fCKuLq5mlyYiIqWMwpLYnR2Lv6XOhrH4kspZvDnY4SNu6/SA2WWJiEgppbAkdiPt4gV2TnmaFmcWArDduRmVB/xA64BaJlcmIiKlmcKS2IVT+7aQPnsALTKPZh12u2kwoYPew8XF2ezSRESklFNYkhJvx8JJ1N38Ju6kcZoKHL39M27r2NPsskREpIxQWJISKzU5gd2TnyIobgkAW51b4DvoB4JvqmFyZSIiUpYoLEmJdGLPZqxzBxKUeZxMw8LfAU/RbtC7ODvpR1ZERIqX3nmkZDEMti34jAYR/8HNkk4slTje+XNua3+P2ZWJiEgZpbAkJUbKhXj2TH6CoPhlYIEtLq3wf2w6LatVN7s0EREpwxzMLqCgevToQY0aNXBzc6NatWo8+uijnDx5Mlub7du30759e9zc3AgICGDixIlXrWfu3Lk0bNgQNzc3AgMDWbRoUXF1QS5zbNd6znzUjqD4ZWQYDqypMZTAl//CV0FJRERMZrdh6fbbb2fOnDlERUXx66+/cuDAAR544H8XJkxMTKRLly7UrFmT8PBw3n//fd58802+/fZbW5t169bRt29fBg8ezJYtW+jVqxe9evUiMjLSjC6VTYbB1t8+wOfne6huPUE0ldnZZRYdHn8XJ52fJCIiJYDFMAzD7CIKw4IFC+jVqxepqak4Ozvz1Vdf8dprrxEdHY2LiwsAo0ePZt68eezZsweAPn36kJSUxMKFC23rCQkJISgoiK+//jpP201MTMTb25uEhAS8vLwKv2Ol2MXEc+yd/BjNE1cCEO7alhqPT6Oqr7/JlYmISGmXn/dvux1ZulxcXBwzZsygXbt2ODtnXaQwLCyMDh062IISQNeuXYmKiuLcuXO2Np07d862rq5duxIWFnbNbaWmppKYmJjtIfl3NPIf4j4JoXniStINR1bXGk7Qy0sUlEREpMSx67D0yiuvUK5cOSpXrszRo0eZP3++bV50dDS+vr7Z2l/6Ojo6Otc2l+bnZMKECXh7e9seAQEBhdWdssEwiJj7X/zm9uAmazQnqcrubnO4beB4HB3t+sdRRERKqRL17jR69GgsFkuuj0uH0ABGjRrFli1bWLp0KY6OjgwYMICiPqo4ZswYEhISbI9jx44V6fZKk6SEs2z/qActd76LiyWDze7tcB32D81COl9/YREREZOUqDNoR44cyaBBg3JtU7t2bdvrKlWqUKVKFerXr0+jRo0ICAhg/fr1hIaG4ufnR0xMTLZlL33t5+dne86pzaX5OXF1dcXV1TU/3RLg8LbVuM57gmZGLGmGIxvqjuCWfq/hoNEkEREp4UpUWKpatSpVq1Yt0LJWqxXIOqcIIDQ0lNdee4309HTbeUzLli2jQYMGVKxY0dZm+fLlDB8+3LaeZcuWERoaegO9kMsZVitb5r5L010f4WLJ5AS+xN/zDe1b3252aSIiInlil//Wb9iwgS+++IKtW7dy5MgRVqxYQd++falTp44t6PTr1w8XFxcGDx7Mzp07+fnnn/n000958cUXbet54YUXWLJkCR9++CF79uzhzTffZPPmzQwbNsysrpUq58/FsuOje2i5+31cLJls8miPx/PraKKgJCIidsQuw5KHhwe//fYbnTp1okGDBgwePJhmzZqxevVq2yEyb29vli5dyqFDhwgODmbkyJGMGzeOp556yraedu3aMXPmTL799luaN2/OL7/8wrx582jatKlZXSs1DkSsIOmzdjS78A9phhNr648meOQCKlaqYnZpIiIi+VJqrrNkFl1nKTvDmknE7P/QLOoznC2ZHLNU4/y939G4ZXuzSxMREbHJz/t3iTpnSezb+bhoDk8eSHDyerDAhnK30+CJKQRUrGx2aSIiIgWmsCSFYv+mZZRf9DSBxllSDWc2NXqFWx4aicXBLo/0ioiI2CgsyQ0xrJmEz3iDoP2TcLJYOWrx5+J933Nrc32iUERESgeFJSmwhNMnOPb9QFpd3JR12K18Zxo+MZka3hXNLk1ERKTQKCxJgezdsJhKi4fQlHNcNFzY0vRVQnu/oMNuIiJS6igsSb5YMzIInzGWlge/xtFicNhSnfTeU2kX2Mbs0kRERIqEwpLk2bnY45z6/hFap2wBC6z3uosmT3xDea8KZpcmIiJSZBSWJE/2hC2k6l9DaUw8yYYr25qPI+S+oVgsFrNLExERKVIKS5Ira0YG4T+OJvjwZBwsBgcdamI8MJXQxsFmlyYiIlIsFJbkmuKijxA99VFap24DC4RVuIdmT3xNOc/yZpcmIiJSbBSWJEe71s7Db/lzNCaRJMONHS3HE9LjaR12ExGRMkdhSbLJzEgnfNooWh2bhoPF4IBDLRz6TCekQXOzSxMRETGFwpLYnDl5kNPTHqVNWmTWYbdKPQl64ivcPcqZXZqIiIhpFJYEgJ2rfuGmVcNpxHkuGO7sav02ofc8YXZZIiIiplNYKuMy0lKJmDaSNid/BGCfYx1cHp5Om3qBJlcmIiJSMigslWGxx/Zz7odHaJO+G4B1VR6g5eDPcXP3MLkyERGRkkNhqYzasWIWNda8RAMukGh4ENV2Au3uHmR2WSIiIiWOwlIZk56WwpbvR9AmeiYAUY71KNf/R1rXbmRyZSIiIiWTwlIZEn0kisQfH6VNRhQAYVUfosXgz3Bzcze5MhERkZJLYamM2LbsJ2r98zJ+JJFAOfaHvk9o1/5mlyUiIlLiKSyVcmkpF9n6/fO0iZ0DwB6nhpTv/wPBtRqYXJmIiIh9UFgqxU4e3EXyzEdpk7EfgHW+/Wn1+Me4uLqaXJmIiIj9UFgqpbYsmUrd9WPw5yLnKM/hWz+gXeeHzS5LRETE7igslTKpKUlsmzyMNmd+A2C3c2MqPPojLWrUNbkyERER+6SwVIqcOLCDlJkDaJN5EIB1/gNp/dgHODu7mFyZiIiI/VJYKiUi/vyOBhvHUs6SQhxeHLvtE9rd3tvsskREROyewpKdS0m+wPbJQ2gTtwAssNM5kCqDfqT5TbXMLk1ERKRUUFiyY8f2biXj54G0yTyM1bCwofrjtB70Hk467CYiIlJoFJbsVPiCr2gU/gYellTOUIFTnT4ltEMvs8sSEREpdRSW7MzFpPNEfvcUreMXgQUiXYLwe+xHAqvVMLs0ERGRUklhyY4c2R2OMXcgra3HyDQsbKz5JG0GTMDRSbtRRESkqDiYXcCNSk1NJSgoCIvFwtatW7PN2759O+3bt8fNzY2AgAAmTpx41fJz586lYcOGuLm5ERgYyKJFi4qp8vzZ+Pvn+My+i5utxzhNRXZ3+YnQx99XUBIRESlidh+WXn75Zfz9/a+anpiYSJcuXahZsybh4eG8//77vPnmm3z77be2NuvWraNv374MHjyYLVu20KtXL3r16kVkZGRxdiFXSefj2fTxQ7TZNhZ3Sxrb3YKxDPmbprfcY3ZpIiIiZYLFMAzD7CIKavHixbz44ov8+uuvNGnShC1bthAUFATAV199xWuvvUZ0dDQuLlmfDhs9ejTz5s1jz549APTp04ekpCQWLlxoW2dISAhBQUF8/fXXeaohMTERb29vEhIS8PLyKtT+Hdq5AYdfH6em9TiZhoVNtZ6lzaP/wcHRsVC3IyIiUtbk5/3bbkeWYmJiePLJJ/nxxx/x8PC4an5YWBgdOnSwBSWArl27EhUVxblz52xtOnfunG25rl27EhYWds3tpqamkpiYmO1RFLYum0m1Od2paT1OLJWI6jabkEHvKiiJiIgUM7sMS4ZhMGjQIJ555hlatWqVY5vo6Gh8fX2zTbv0dXR0dK5tLs3PyYQJE/D29rY9AgICbqQr1+RbP5hUiwvb3FrjPHQdjUPuKpLtiIiISO5KVFgaPXo0Fosl18eePXv4/PPPOX/+PGPGjCn2GseMGUNCQoLtcezYsSLZTrWaDUjsv5jAUX9RsWq1ItmGiIiIXF+J+ijVyJEjGTRoUK5tateuzYoVKwgLC8PV1TXbvFatWtG/f3+mT5+On58fMTEx2eZf+trPz8/2nFObS/Nz4urqetV2i0pAvebFsh0RERG5thIVlqpWrUrVqlWv2+6zzz7j7bfftn198uRJunbtys8//0zbtm0BCA0N5bXXXiM9PR1nZ2cAli1bRoMGDahYsaKtzfLlyxk+fLhtXcuWLSM0NLQQeyUiIiL2rESFpbyqUSP71ao9PT0BqFOnDtWrVwegX79+jB8/nsGDB/PKK68QGRnJp59+yscff2xb7oUXXuC2227jww8/pHv37syePZvNmzdnu7yAiIiIlG0l6pylwuTt7c3SpUs5dOgQwcHBjBw5knHjxvHUU0/Z2rRr146ZM2fy7bff0rx5c3755RfmzZtH06ZNTaxcREREShK7vs5SSVCU11kSERGRolEmrrMkIiIiUhwUlkRERERyobAkIiIikguFJREREZFcKCyJiIiI5EJhSURERCQXCksiIiIiuVBYEhEREcmFwpKIiIhILuzy3nAlyaULoCcmJppciYiIiOTVpfftvNzIRGHpBp0/fx6AgIAAkysRERGR/Dp//jze3t65ttG94W6Q1Wrl5MmTlC9fHovFUqjrTkxMJCAggGPHjpXK+86V9v5B6e+j+mf/Snsf1T/7V1R9NAyD8+fP4+/vj4ND7mclaWTpBjk4OFC9evUi3YaXl1ep/SWA0t8/KP19VP/sX2nvo/pn/4qij9cbUbpEJ3iLiIiI5EJhSURERCQXCkslmKurK2+88Qaurq5ml1IkSnv/oPT3Uf2zf6W9j+qf/SsJfdQJ3iIiIiK50MiSiIiISC4UlkRERERyobAkIiIikguFJREREZFcKCyZ7M0338RisWR7NGzY0DY/JSWFoUOHUrlyZTw9PenduzcxMTEmVnx9a9as4d5778Xf3x+LxcK8efOyzTcMg3HjxlGtWjXc3d3p3Lkz+/bty9YmLi6O/v374+XlRYUKFRg8eDAXLlwoxl5c2/X6N2jQoKv26V133ZWtTUnu34QJE2jdujXly5fHx8eHXr16ERUVla1NXn4ujx49Svfu3fHw8MDHx4dRo0aRkZFRnF3JUV7617Fjx6v24TPPPJOtTUntH8BXX31Fs2bNbBfxCw0NZfHixbb59rz/4Pr9s/f9d6X33nsPi8XC8OHDbdPsfR9eLqf+lbh9aIip3njjDaNJkybGqVOnbI/Tp0/b5j/zzDNGQECAsXz5cmPz5s1GSEiI0a5dOxMrvr5FixYZr732mvHbb78ZgPH7779nm//ee+8Z3t7exrx584xt27YZPXr0MGrVqmVcvHjR1uauu+4ymjdvbqxfv95Yu3atUbduXaNv377F3JOcXa9/AwcONO66665s+zQuLi5bm5Lcv65duxpTp041IiMjja1btxp33323UaNGDePChQu2Ntf7uczIyDCaNm1qdO7c2diyZYuxaNEio0qVKsaYMWPM6FI2eenfbbfdZjz55JPZ9mFCQoJtfknun2EYxoIFC4w///zT2Lt3rxEVFWW8+uqrhrOzsxEZGWkYhn3vP8O4fv/sff9dbuPGjcbNN99sNGvWzHjhhRds0+19H15yrf6VtH2osGSyN954w2jevHmO8+Lj4w1nZ2dj7ty5tmm7d+82ACMsLKyYKrwxV4YJq9Vq+Pn5Ge+//75tWnx8vOHq6mrMmjXLMAzD2LVrlwEYmzZtsrVZvHixYbFYjBMnThRb7XlxrbDUs2fPay5jT/0zDMOIjY01AGP16tWGYeTt53LRokWGg4ODER0dbWvz1VdfGV5eXkZqamrxduA6ruyfYWT9ob78D/eV7Kl/l1SsWNGYPHlyqdt/l1zqn2GUnv13/vx5o169esayZcuy9am07MNr9c8wSt4+1GG4EmDfvn34+/tTu3Zt+vfvz9GjRwEIDw8nPT2dzp0729o2bNiQGjVqEBYWZla5N+TQoUNER0dn65O3tzdt27a19SksLIwKFSrQqlUrW5vOnTvj4ODAhg0bir3mgli1ahU+Pj40aNCAIUOGcPbsWds8e+tfQkICAJUqVQLy9nMZFhZGYGAgvr6+tjZdu3YlMTGRnTt3FmP113dl/y6ZMWMGVapUoWnTpowZM4bk5GTbPHvqX2ZmJrNnzyYpKYnQ0NBSt/+u7N8lpWH/DR06lO7du2fbV1B6fgev1b9LStI+1I10Tda2bVumTZtGgwYNOHXqFOPHj6d9+/ZERkYSHR2Ni4sLFSpUyLaMr68v0dHR5hR8gy7VffkP+KWvL82Ljo7Gx8cn23wnJycqVapkF/2+6667uP/++6lVqxYHDhzg1VdfpVu3boSFheHo6GhX/bNarQwfPpxbbrmFpk2bAuTp5zI6OjrHfXxpXkmRU/8A+vXrR82aNfH392f79u288sorREVF8dtvvwH20b8dO3YQGhpKSkoKnp6e/P777zRu3JitW7eWiv13rf5B6dh/s2fPJiIigk2bNl01rzT8DubWPyh5+1BhyWTdunWzvW7WrBlt27alZs2azJkzB3d3dxMrk4J6+OGHba8DAwNp1qwZderUYdWqVXTq1MnEyvJv6NChREZG8vfff5tdSpG4Vv+eeuop2+vAwECqVatGp06dOHDgAHXq1CnuMgukQYMGbN26lYSEBH755RcGDhzI6tWrzS6r0Fyrf40bN7b7/Xfs2DFeeOEFli1bhpubm9nlFLq89K+k7UMdhithKlSoQP369dm/fz9+fn6kpaURHx+frU1MTAx+fn7mFHiDLtV95ac2Lu+Tn58fsbGx2eZnZGQQFxdnl/2uXbs2VapUYf/+/YD99G/YsGEsXLiQlStXUr16ddv0vPxc+vn55biPL80rCa7Vv5y0bdsWINs+LOn9c3FxoW7dugQHBzNhwgSaN2/Op59+Wmr237X6lxN723/h4eHExsbSsmVLnJyccHJyYvXq1Xz22Wc4OTnh6+tr1/vwev3LzMy8ahmz96HCUglz4cIFDhw4QLVq1QgODsbZ2Znly5fb5kdFRXH06NFsx+btSa1atfDz88vWp8TERDZs2GDrU2hoKPHx8YSHh9varFixAqvVavuFsSfHjx/n7NmzVKtWDSj5/TMMg2HDhvH777+zYsUKatWqlW1+Xn4uQ0ND2bFjR7ZQuGzZMry8vGyHSsxyvf7lZOvWrQDZ9mFJ7d+1WK1WUlNT7X7/Xcul/uXE3vZfp06d2LFjB1u3brU9WrVqRf/+/W2v7XkfXq9/jo6OVy1j+j4s9FPGJV9GjhxprFq1yjh06JDxzz//GJ07dzaqVKlixMbGGoaR9fHQGjVqGCtWrDA2b95shIaGGqGhoSZXnbvz588bW7ZsMbZs2WIAxkcffWRs2bLFOHLkiGEYWZcOqFChgjF//nxj+/btRs+ePXO8dECLFi2MDRs2GH///bdRr169EvPR+tz6d/78eeOll14ywsLCjEOHDhn/93//Z7Rs2dKoV6+ekZKSYltHSe7fkCFDDG9vb2PVqlXZPrabnJxsa3O9n8tLH+vt0qWLsXXrVmPJkiVG1apVS8THlq/Xv/379xtvvfWWsXnzZuPQoUPG/Pnzjdq1axsdOnSwraMk988wDGP06NHG6tWrjUOHDhnbt283Ro8ebVgsFmPp0qWGYdj3/jOM3PtXGvZfTq78dJi978MrXd6/krgPFZZM1qdPH6NatWqGi4uLcdNNNxl9+vQx9u/fb5t/8eJF49lnnzUqVqxoeHh4GPfdd59x6tQpEyu+vpUrVxrAVY+BAwcahpF1+YDXX3/d8PX1NVxdXY1OnToZUVFR2dZx9uxZo2/fvoanp6fh5eVlPPbYY8b58+dN6M3VcutfcnKy0aVLF6Nq1aqGs7OzUbNmTePJJ5/M9vFWwyjZ/cupb4AxdepUW5u8/FwePnzY6Natm+Hu7m5UqVLFGDlypJGenl7Mvbna9fp39OhRo0OHDkalSpUMV1dXo27dusaoUaOyXePFMEpu/wzDMB5//HGjZs2ahouLi1G1alWjU6dOtqBkGPa9/wwj9/6Vhv2XkyvDkr3vwytd3r+SuA8thmEYhT9eJSIiIlI66JwlERERkVwoLImIiIjkQmFJREREJBcKSyIiIiK5UFgSERERyYXCkoiIiEguFJZEREREcqGwJCIiIpILhSURERGRXCgsiUipZ7FYcn28+eabuS5/++23M3ny5BzndezYkeHDh2eb9umnn+Lq6srs2bMLqQciYiYnswsQESlqp06dsr3++eefGTduHFFRUbZpnp6e11w2Li6Of/75J8/B54033uCDDz5g/vz53HXXXQUvWkRKDIUlESn1/Pz8bK+9vb2xWCzZpuXmzz//pGXLlvj6+ubazjAMnn/+eX766SeWLVtGu3btbqhmESk5FJZERHKxYMECevbsmWubjIwMHnnkEVasWMHq1atp1qxZMVUnIsVBYUlE5BpSU1NZsmTJdc9p+u677wDYtm0bDRs2LIbKRKQ46QRvEZFrWLFiBT4+PjRp0iTXdrfeeiuenp68/vrrZGRkFFN1IlJcFJZERK5hwYIF9OjR47rtAgMDWb58OStXrqRPnz4KTCKljMKSiEgODMPgjz/+uO75SpcEBQWxfPly1qxZw0MPPUR6enoRVygixUVhSUQkB+Hh4SQnJ3PrrbfmeZnmzZuzYsUK/v77bwUmkVJEYUlEJAfz58/n7rvvxskpf5+DCQwMZMWKFaxbt44HH3yQtLS0IqpQRIqLxTAMw+wiRERKmmbNmjF27Fgeeughs0sREZNpZElE5AppaWn07t2bbt26mV2KiJQAGlkSERERyYVGlkRERERyobAkIiIikguFJREREZFcKCyJiIiI5EJhSURERCQXCksiIiIiuVBYEhEREcmFwpKIiIhILhSWRERERHLx/y9AV+TQTyyRAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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8efMIDg6me/fu3HXXXTz33HM89dRTtn+8N2/ejLOzM507dy7xuNzcXHbu3MnkyZOrPFNcXBwAXbt2rVTmU6dOkZeXR1JSEi1atKjyfGI/DMPgSEYuO1OyOHDiNInHT5N44jQHTpzmRE7+JT23i5MFJ4uFQqv1vCJ1uqCY0wXFpGTmXfR56rk5E9qoHi39z95a+NejVUA92gT74OWmf8JFaoJ+0mqYYRjkFpozJ4+nq3OF/4c6a9Ys7rrrLgCGDBnCgw8+yJo1a7j66qsBiI2Npbi4+IJzSV2o0FyK2NhYQkJCLjjR58UyP/zww6xYsYKwsDCioqLo168fI0aMICIiwvYcCxcuZPLkyVitVp588knuv//+Kh+H1CzDMDh8KpfYpFPsTMlie0omO1KyyDhz4Ws2Nqzn9udRHneC/jzaE+jrTn1PN3w9XfDxcMXX4+yfnm7OuDhZcHGy4OxkKfGzVlRspbDYoKDYSkGRldP5RWTmFpKZW0hW3tk/03MKSM3KIy0rj9SsPFIz8zl5Op/TBcXsPJrFzqNZJbJZLNCyUT3aNfElovHZW+eQ+jSsp0vviFQ1i6E30C9JVlYWfn5+ZGZm4uvrW2JdXl4eiYmJtGzZEg8PDwDOFBQRMfVnM6Ky84WBFfqfaEJCAm3btmXPnj20bt0agDvvvBNnZ2e++OILAPr164efnx9Tp04t8dg5c+bw1ltvkZ2djbOzc4l1U6ZM4ZVXXinztXft2kXbtm1LXTdkyBAAvv/++0plhrOTSK5du5Zly5Yxf/58EhMTWbBgATfeeCNFRUVERESwatUq/Pz8iIqK4vfffy+1nJW2j6V2sFoNdqdms+lQOhsT09l08BSpWecfyXFxstA6yIfLgrxtR2/C/L1p4e+Fj4e5s7LnFxWTnJ5L4onTHDxxmsSTZ49+7T2Wc8EjXy3969G1eQO6htYnKrQBrQN9cHbS23gif1fW7++/05EluaBZs2Zx+eWX20oHwF133cXQoUN555138PPzIzY2lueff54uXbqUeOx7771Hp06dzitKAJMnT+bee+8t87XDwsIuuC42NvaCR3rKkxnA2dmZPn360KdPH5577jlatGjBV199xY033sjGjRtp3749TZs2BWDQoEEsW7aM4cOHl5lZzHciJ5/f9h5nTcJxftt7gpOnC0qsd3Gy0L6pH52a+tG+iS/tm/hxWbA37i7nf5/WBu4uzoQHehMe6H3eumPZeew6ms2uo1nsOprF9iOZ7P/zbcTEE6f5NvYwAD7uLvQIa8RV4Y24Mtyf8EBvnQMlUkEqSzXM09WZnS8MNO21y6uoqIjPP/+cKVOmlFg+YMAAvLy8+PrrrxkwYAAZGRmlvtUWGxtLjx49Sn3ugIAAAgICKhb+TydOnCA5ObnU1yxP5rFjx573OKvVSn5+vi1TSkqKrSgBNG3alCNHjlQqr1QvwzDYk5bD0u2p/LIrjW1HMkus93JzJiq0AZe3aMjlLRrSJaQ+nm61sxhVVKCPB4E+HvS57P9+ljLOFBCXnEHcoVNsTjpFfFIG2flF/LIrjV92pf35OHeuCvfnqtb+XN0mUG/biZSDylINs1gsdnFS5sKFC0lLS6NDhw5s3769xLrevXsza9YsGjVqhJOT03lHlQoLC9m+fTsPPfRQleeKjY0FSj8XqjyZ161bR0REBNdccw1BQUEcOHCAl156CYCJEydWeV6peoZhsP1IFku2H2Xp9lQOnDhdYn1EY1/6tAmgz2UBdG3eADeXujNDSn0vN/q2CaRvm0AAiq0GO1OyWLf/BOv2nWBjYjrHsvNZEHeEBXFHcLJAt9CG9I8IpH+7IMICzj+CJSIqS3IBs2bNAuDaa6+94DZfffUVrVu3xtu75D+wO3fuJD8/v1pO7o6LiyMoKIgmTZqct648mW+44QYWLlzI9OnTycnJISQkhAEDBvDpp5/SrFkzAJo0aVLiSNKRI0fo3r17FY9EKupIRi7fxR5mQeyREgXJzdmJXq39GdghmKvbBBDoo3PHznF2stCxmR8dm/kxtk8r8gqLiT10irX7TrA64Tg7j2ax8WA6Gw+m89Li3YQF1OPaiCBu7NSE9k189XadyJ90gvclqugJ3lL7FRUV0a5dO1avXq0TvE12pqCIRVuPsiD2CDEHTtqWe7g60bdNINd1COaatoGmn4htrw6fOsOKXcf4ZVca6w+cpLD4/34dhAXU48ZOTbixc5NSz5kSsXc6wVvkEri4uPDGG2/Qt29frFYrTzzxxAWnKZDqse9YDrM3HOKbzYfJziuyLY8Oa8Q/ujZlUMfGeLvrn69L1ayBFyN7tmBkzxZk5RWyJuE4i7cdZcXuYxw4fpoZK/YyY8Ve2jX25eYuTfhH16Y6cid1ko4sXSIdWarbtI+rTlGxleU70/hi/SF+3/9/R5FCG3kxNKoZQyKb0qxB6fN5SdXKzivkl11p/LTlKL/uOU6R9eyvCWcnC33bBDC0WwjXtA3E1bnunA8mjkdHlkTEbpwpKGL+psN8+NsBDp/KBcDJAte0DeKe6FB6hfvjpHmCapSPhyu3RDbjlshmnDpdwJLtqXyzOZnYpAx+2XWMX3Ydw9/bjVsimzLs8uZ6m04cnsqSiJjiZE4+n8cc4vOYg5z6cxbthvXcGN49hOHdm+soUi3RoJ4bd/Zozp09mrPvWDbzNx3m29gjnMjJ58PfEvnwt0R6tfZnRHQLrmkbqAkwxSGpLIlIjTqenc//1uznyw2HyCu0AtC8oRdjeodxW9dmDjMPkiMKD/Thqevb8c+BbVidcJy5fySxYvcxftt7gt/2nqBZA0/uuSKU27uF0EDzN4kDUVkSkRqRfrqA//26n89/P2S7PmLHpmc/0n5dh2AdkbAjrs5OXBsRxLURQSSnn+HLDYeY+0cyh0/lMm3JbqYv38OQLk0Z07sl4YE+ZscVuWQqSyJSrTJzC/ng1/18uu4gpwvOlqTOIfV5rH9r+lwWoLl87FxIQy+eGtSOx/pfxo9bUvjs94PsSMli7qZk5m5Kpn+7IB66Ooyo0IZmRxWpNJUlEakWBUVWZm84xIwVe8n485ykDk19mXTtZfRtE6iS5GA8XJ25vVsIQ6OaEZt0ig9+PcCynWm2S610C23A2D6tuKZtoE7YF7ujsiQiVcowDH7ekcYrS3eT+OdM260DvfnnwDYMiAhSSXJwFouFqNCG/O+ehuw/nsOHvx5gQewRNh06xf2fbyI80JuH+4ZzY+cmeutV7IbmWbpEmmepbtM+LmlHSibP/7iTjQfTAfD3dmPStW24vVszXDQnT52VlpXHx+sS+Wp9Etn5ZycZbRVQjwn9WnNDJ5UmMUdF5llSWbpEKkt1m/bxWVl5hUxftofPYw5iNc5ejmRMrzAe7NNKM22LTVZeIZ//fpAPf0skM/fsW7Phgd5M6NeawR0bqzRJjdKklCJSIwzD4Pv4I7y4aDcncvIBuKFTY54Z3I7Gfp4mp5PaxtfDlYevac3Ini34dN1BPvztAPuO5TDh6zjeXrGXx669jEEdgvVWrdQ6Oi4uZerTpw+jRo06b/l7772Ht7c3Vqv1kl/j559/xmKxlHlbtmwZhw8fZuzYsYSHh+Ph4UFQUBADBgxg27Ztl5xBKm7/8RyGf7iex+Zu4UROPmEB9fhydA/eubOripKUycfDlUf6tWbtlGt4rP9l+Hi4sPdYDuNmxzLkvd9Z/5eLJovUBjqyJBdkGAZxcXHcfvvt563btGkTXbp0wcnp0vt27969OXr0qO1+hw4dGDduHOPGjbMtO336NJGRkVx99dV88cUXNG7cmOTkZL799lvc3d0vOYOUX1GxlY/WJjJ9+R4Kiqx4uDrxyDWtub9XS9xdNKGklJ+vhyuP9m/NvVe2YNZvB/hobSJbkjO444P1XNM2kCeva0ubYM3TJOZTWZIL2rt3L9nZ2URFRZ23btOmTfTt27dKXsfT0xNPz7NHIo4cOcLJkyfp1asXwcHBtm0mT55MvXr1mDt3rq2gtWjRgl69elVJBimf3alZPPHNVrYezgSg92UBvDikAyENdWkSqTw/T1cmDWjD3dGhvLViL19vTGbl7mOsSjjGrV2bMenay2hSX0crxTwqSzXNMKDwjDmv7eoFFTgXYPPmzTg7O9O5c+cSy3Nzc9m5cyeTJ0+u6oTExcUB0LVr1xLLT506RV5eHklJSbRo0aLKX1fKVlhs5b1V+3ln1V4Kiw18PVz49w0R3BbVTOeXSJUJ9PHg/w3pyKgrW/L6sgQWb0vlm82H+WlLCg/2acVDfVrpcjhiCpWlmlZ4Bl5qYs5rP50CbvXKvXlsbCzFxcV4eZV+1ODvhaYqxMbGEhISQqNGjUosf/jhh1mxYgVhYWFERUXRr18/RowYQURERJVnkJIST5xm4pw4tvx5NKl/uyBevKUDQb5199N/Ur3CArx5764o4pJOMW3JbjYmpvPWir3M35TMU9e348ZOjVXSpUbpBG+5oNjYWG655Rbi4uJK3J588kk8PT1LLSpTpky56Mnau3fvLvM1SythXbt25cCBA6xatYoBAwawYMECOnfuzE8//VSlY5b/YxgGX29M4voZv7HlcCZ+nq7MuKMLH46IUlGSGhHZvAFzH7iC9+7qStP6nhzNzGPC13EMnRnD9iOZZseTOkTzLF2iCs+zZEdvwzVo0IDnn3+eCRMmlFj+wAMPsHXrVtavX3/eY44fP87Jk2V/kiUsLAw3t9KvSN68eXPuv/9+pk6dWuZzFBYW0qJFC3r37s3XX399kZFUH0edZyn9dAFTvt3Ksp1pAESHNWL6sM76lJuYJq+wmA9+PcB7q/eRV2jFYoFh3UJ4fGAbGnnrQx5ScZpnqTazWCr0VphZDhw4QEZGRqlHeWJjY+nRo0epjwsICCAgIKBSr3nixAmSk5PL9fae1WolPz+/0q8lFxaz/ySPzonjWHY+rs4W/jmgDWN6hel6XmIqD1dnJvRrzW1RzXhl6W5+iE9hzh/JLN2RylOD2jI0KkTfo1Jt9DaclGrz5s04OTnRpUuXEssLCwvZvn17tZ2vBOefC3XPPfcwbdo0NmzYwMGDB1m5ciWDBw8GYOLEiVWeo66yWg3eXbWPuz5az7HsfMIDvflu3JU82KeVfglJrdGkvicz7ojkm7HRtA32IeNMIU9+u41hH8SwJy3b7HjioFSW/vTuu+/SokULPDw86NGjBxs3bjQ7kqliY2Np3bo13t7eJZbv3LmT/Pz8ailLcXFxBAUF0aRJyRPgu3btysKFC7nhhhto164dY8eOpW3btsTHxxMWFlblOeqiU6cLGPXZH7z2cwJWA27t2oyfHr6KDk39zI4mUqpuLRqy8JGreOb6dni5OfPHwVNcP+M3Xlm6m9yCYrPjiYPROUvA3LlzGTFiBDNnzqRHjx68+eabzJ8/n4SEBAIDA8t8rK4NV7c5wj6OTTrFw7NjScnMw93Fif/c3IHbLw8xO5ZIuR3JyOX5H3fYzrFr1sCT/9zcgb5ty/73W+q2ipyzpCNLwPTp0xkzZgz33XcfERERzJw5Ey8vLz7++GOzo4lUq682JDHsfzGkZObR0r8e3427UkVJ7E7T+p58MKIbH47oRhM/Dw6fyuW+T//g0TlxnDpdYHY8cQB1/gTvgoICNm/ezFNPPWVb5uTkRP/+/YmJiTExmUj1KSy28vxPO/hyfRIAg9sH8Eo/H7wLd8DudMjPhuJCsBZCcdHZP61F//cE5x2Q/tv9EuvLWleGUj+5eYFzp8q77SVtZ0/PWdrDa2POvy23OIGL+583j7N/Ov9539UTPOqDZ/2z90txbUQQPVs1YsaKvXz02wF+iE9h3b4T/OfmDgzq2PgCGUQurs6XpRMnTlBcXExQUFCJ5UFBQaXOB5Sfn09+fr7tflZWVrVnFKlKJ3PyeWh2LKkHd/GwSwz3NNhO4MF9WD7Q/8DFTrjWA88G4BME9Zv/3y2wPfWCO/L09e24vmNjnvhmC3vScnhodizXdwzmhZs74K9pBqQS6nxZqqhp06bx/PPPmx1DpFJ2pGTy3KeLuCf3c25wW4+TxYBzHyByrQfegeDVENx9wdkNnF3ByeXsnxbnvx0h+MvfL7j87wku9Ji/KfXo0wWOSJW6uJSF5X3OCx75qsvPWdrDL+U5L/A61iIoyofiAijKg6Jzf+afnZ8uPwsMKxSePnvLOgxHNv/tSSzQKJwuza9gUb+r+SA5hOnrTrJ4Wyox+0/y3E3tualzE80ALhVS58uSv78/zs7OpKWllVielpZW4kKu5zz11FNMmjTJdj8rK4uQEJ3jIbXfL9sPs2Pe83xh+Q4P58KzC8P6Qod/QMve4NccnHQao9RiVivkZ0LuKThzCrKPQkbS2Vv6AUjdBtkpcHIvnNyLa9wXjLc4MbJFNB9mdOPj9I48OieehVuPMu0fHXWUScqtzpclNzc3oqKiWLFiBUOGDAHOTni4YsUKHn744fO2d3d3x929Yj9g+sCh47KXffvt8jW0+u0xHnXaD0BR8164DHoJGncyOZlIBTg5nX37zbMBNLzANjnHICUODqyBA6vg2E68U9bxGOt42Mud+YW9mLVrINe9eYqX/9GJ/hFBF3gikf9T58sSwKRJkxg5ciTdunWje/fuvPnmm5w+fZr77rvvkp7X1dUVgDNnzuDpqctEOKKCgrPn+Tg7184roVutBgu+fIfr9v8/vJ3yyHX2xvXGN3DpPKxiJweL2AvvQLhs4NkbQHoibP8Wts7D9UQCdzr/wp3Ov7A8P4rXvhjKisuv5F+DI6jnrl+HcmGaZ+lP77zzDq+99hqpqal06dKFt95664KX9Piri83TcPToUTIyMggMDMTLy0vvkzsQq9VKSkoKrq6uNG/evNbt27yCQla8/xiDT30BwBG/rjS57zMs9ZubnEzEBIYBB9fC+vcxEhZjwcBqWPjB2pN53nfzzzsGERXawOyUUoMqMs+SytIlutgX2zAMUlNTycjIqPlwUu2cnJxo2bLlBS8MbJZTp9JJmHkXV+T/DsC+ViMJv3M6OOt/zyIc3wOrXoSd3wOQb7jwv+IbMa58jHEDOuLqrHP36gKVpRpU3i92cXExhYWFNZhMaoKbmxtOteyk6LSjyWR8OIQ21n0U4EJyz5doNeBBs2OJ1D4p8RQuexbXg6sBSLIG8Gn98dw78kGaN/IyN5tUO5WlGlSRL7ZIdUs+sBvji1tobqRwCl9ybvmckM59zY4lUnsZBuz6idyfHsczNxWAn40r4IbpDLy8vcnhpDrpciciddC+7Rtx/3wQzY0UUi0B5I9YrKIkcjEWC0TchOfEzWRHjaMYJwZa1tN14XV8/sm7uiivACpLIg5h18blBHwzhEDSOejUHNcxvxAc1tHsWCL2w90bnxunYdy/guOeYQRYshhx6GnWvnYr+5IOm51OTKayJGLntv32Ay0W3Ykfp0lwbUfDR1bQqEkLs2OJ2CWXZl0JmBTD4YgHKMaJawtX4TmrD8t+/tFu5lWTqqeyJGLHtq5ZQOtfRuNpKWCrx+U0f3QZvg0CzY4lYt9cPWh2+2tkDf+JNJcmNLWc4JrfR7Lo3X9yJi//4o8Xh6OyJGKntqycT5uVD+BhKSTeK5o2E3/E01sfMhCpKg3aXEXA5PXsCRyEi8XKDSc+Yvdr13Lo4H6zo0kNU1kSsUPxv8yh3ZqxuFsKiat3FRGPfo+7hz7qLFLVnDz9uOyhrzlw5Wvk4k7X4i14f3I1f/wy3+xoUoNUlkTsTNyyL4n4bRxuliJivXvT4dEFuLl7mB1LxHFZLIRd+wBn7l3BQZcwGlmyiPptDGs+fJyioiKz00kNUFkSsSPxK+bQYd0E3CzFbPa5hk6Pfourm66cLlITGrXoSNPH1xEXMAQni0GfIx+w5bVBHD+eanY0qWYqSyJ2YtuvP9Du14dxtRSzyacfnSfMxcW1dl1mRcTRubp7ETn+M7Z1e4k8w5Wo/I0UvNuLHZt/MzuaVCOVJRE7sGvDz7RaMQZ3SyGxXlfRecIcFSURE3W8YTwnhi3kqCWIphyj1Y+3EPPtDLNjSTVRWRKp5fbEriFk8Ui8LPls9bic9hPm46qiJGK6ZhFX4Dfxd7bX64GHpZDobVPZ8PZICvI1vYCjUVkSqcUObN9A0I/D8bbkssOtE60f0afeRGoTLz9/2k9ewoYWY7EaFnqc/J49b/Tn5LEUs6NJFVJZEqmlDu/bjt83Q8/OzO3SltCHf8SznrfZsUTkbyxOzvS49xW29X6f04YHHQq2kv9+H/Zt32B2NKkiKksitdCJ1CQss/9BIzLZ79yS4HEL8fZtYHYsESlD537DOTl8EUcswTQxjtF4/o38sfRzs2NJFVBZEqllsjPTyfhwCE2NNI5YgvAb8yN+DQPMjiUi5dC8bTd8HvmVHe5dqGfJ5/L1j/DbrCewFlvNjiaXQGVJpBbJzzvDofduIbx4Pyfxw7hrAf7Bzc2OJSIV4NswiLb/XM6moKEA9Er+H3H/HULemWyTk0llqSyJ1BLW4mK2vzOcDvnxnDY8SB8ym2bhHcyOJSKV4OzqRreHPmJzp+cpMJyJyllD0vRrOJGaZHY0qQSVJZFawLBa2TjzQaJyVlNgOHOg30xad+lldiwRuURR/5jI3uu+4hQ+XFa0h6KZ15C48w+zY0kFqSyJ1AIb5rzIFcfPXphza/dX6Nj7FpMTiUhVaR99HTl3LyXZ0oRgjuM/90a2rvnO7FhSASpLIiaLX/4V3RPeAGB9+ES6DR5jciIRqWoh4R3wGb+KnW4d8bHk0m7laNbPn252LCknlSURE+3bspbL1k7EyWKwoeFN9LjzWbMjiUg1qe8fTPik5WzyG4CrpZgrdjzPupkPU1xcbHY0uQiVJRGTpB3ej+939+BlyWebe1e6jv0Ii5N+JEUcmZuHJ1GPzmVD6AMAXJn6BfH/vYW8MzkmJ5Oy6F9mEROczs4g55PbCCSdg04hhD70Da5u7mbHEpEaYHFyosd9rxEb9Yrtk3IH/3stWSePmR1NLkBlSaSGFRcVsfe9YbQqPsBJ/HAb8S2+9RuZHUtEaljXG8eyZ+CXZBn1aFu4k/R3ryE1eZ/ZsaQUKksiNWzjx5PokruePMOV4zd8QpMWbcyOJCIm6dDzek7c/j3HaEgLazJOs67V1AK1kMqSSA3avHgW0SmfAbC924u07dbP5EQiYraw9t2xjl7OQacQAkmn0byb2RGzxOxY8hcqSyI1ZP+29bTb8BQA64PvotuND5qcSERqi+CQcBqMX8Eu1wh8OU340nvYtEQX4a0tVJZEasCp40fx+vZuvCz5bPWI4vL73zI7kojUMn6Ngmj52HLivXribikkcv0EYua8anYsQWVJpNoVFRaQ8uEwGnOcI5YgQsd8jbOLi9mxRKQW8vDypuOkH/mj0c04Wwyid7/I+o8mYVitZker01SWRKrZpg/H075gC2cMdwqGzsavUZDZkUSkFnN2caXb+E9Z3/zsW/VXHJ7FpvdGYdXklaZRWRKpRn/88B5XHJsHwO6eb9Ay4nKTE4mIPbA4OXHFqFeJafcvrIaFy098R9xbwygqyDc7Wp2ksiRSTRJ3/kGH2LOXL1nfbDRdB95jciIRsTfRwx5nc7dXKDScicpczrY3h5CXe9rsWHWOypJINcjJOoXzNyPxtBSwzb0rl9+rkzRFpHIuv/FBdvR6jzzDlcgzv7Pvv9eTk3XK7Fh1isqSSBUzrFYSPhxFc+sRjtGQpqO/1AndInJJuvS/g/0DPuO04UGHgniOvDWQjBNpZseqM1SWRKrYxvmvEpW9kkLDmfRB/6NhYFOzI4mIA2h/5WBShswjA2/aFCWQ/t61HEtJMjtWnaCyJFKF9sSuIXLn2bfcNl/2KG17DDA5kYg4ktaRfci64weO04Aw6yEKPryWo4cSzI7l8FSWRKpI5sk0fH4cjZulmLh6V9Fj+L/NjiQiDqh5224UjlxCiiWIZkYqTp8MImX/drNjOTSVJZEqYFitJH40wjbxZNj9n2Fx0o+XiFSPJi3b4Xz/Ug5ZmhHESVy/uIHkPfFmx3JY+tdcpApsmPsyXXLXk2+4kjvkE/wa+JsdSUQcXFDTMLweWEKiUygBnMLzq5s5tGuT2bEcksqSyCU6sH0DkbunAxDXdhLhna80OZGI1BUBjZvjN3Yp+51b4k8GPnNvYf+2DWbHcjgqSyKXIPd0Ns4LRuNuKWSLZw96DJtidiQRqWMaBjbBf9zP7HUOpyFZNPr2H+yNX2t2LIeisiRyCbZ+PJ5QazInqE/IfZ/oPCURMYVfoyACH/6ZBJc21CeHoO9vZ/fm1WbHchj6l12kkmJ//oIeJ38A4Og1b2o+JRExlV8Df5pOWMpu1wh8OU3TH+9g9x+/mB3LIagsiVRC2uH9hMWcfcttffBddOx9i8mJRETA27chzR9dwi63jvhYcglZeBcJG5eZHcvuqSyJVFBxUREnPh9JfXLY6xxO1/ummx1JRMTGy7s+LSYsZrtbF+pZ8mi26B72bFphdiy7prIkUkF/fPU87Qu2ccZwx2P4p7i5e5gdSUSkBE9vX8IeXci2PwtT44V3sTd2tdmx7JbKkkgFJO7YQNf97wGwvdPThIR3NDmRiEjpvOr5EPbIj+xw7YgPuQT9OJx98b+ZHcsuqSyJlFNBfh7FCx7CzVLEFs8eXH7LBLMjiYiUqZ6PHy0mLGSXa3t8OUPA98PYt2Wd2bHsjsqSSDnFfvE04cX7ycCbpvd8qGkCRMQu1POpT8gji9jt0g4/TtPou2GauLKC9K+9SDnsiV1Dt+RPANjf/QX8m4SanEhEpPy8fRvQ9OFF7HG5jAZk0/DbWzmwY6PZseyGypLIReSdycF94ThcLFY2+1xD1PWjzY4kIlJhPvUbEfzwEva5hNOAbPzm38bB3bFmx7ILKksiFxH/6SRCrYc5TgPC751pdhwRkUrzre9P4LglHHAOoxGZeM+5hcN7t5gdq9Zz6LLUokULLBZLidvLL79cYputW7fSq1cvPDw8CAkJ4dVXXzUprdRGO35fzBXH5gKQ0vtV/BoFmZxIROTS+DYMpNG4JRxwaoE/GbjOvoW0Qwlmx6rVHLosAbzwwgscPXrUdnvkkUds67KyshgwYAChoaFs3ryZ1157jeeee44PPvjAxMRSW5zJyaT+8okAbGx4I52vud3cQCIiVcSvUTC+Dy7moKUZQZyk6NObOHH0kNmxai2HL0s+Pj4EBwfbbvXq1bOtmz17NgUFBXz88ce0b9+eO+64gwkTJjB9umZkFtj6xZM0NdJIxZ92I98yO46ISJXyD2qKx+ifOGIJoqmRSs6HN5BxItXsWLWSw5ell19+mUaNGhEZGclrr71GUVGRbV1MTAy9e/fGzc3NtmzgwIEkJCRw6tSpUp8vPz+frKysEjdxPHtiV3N56hwA0npPw8evocmJRESqXnCzMLjne47RkBbWJI7PvIHszHSzY9U6Dl2WJkyYwJw5c1i1ahUPPvggL730Ek888YRtfWpqKkFBJc9BOXc/NbX0dj1t2jT8/Pxst5CQkOobgJiiID8P14UTcLYYbPK9Vm+/iYhDaxoWQe6wbziFL62L9pL8zk3kns42O1atYndlacqUKeedtP332+7duwGYNGkSV199NZ06dWLs2LG88cYbvP322+Tn51f69Z966ikyMzNtt+Tk5KoamtQSm2dPpaX1EKfwpdU9b5sdR0Sk2oW2i+LkLV+TjScRhdvY8/YQ8vNzzY5Va7iYHaCiJk+ezL333lvmNmFhYaUu79GjB0VFRRw8eJA2bdoQHBxMWlpaiW3O3Q8ODi71Odzd3XF3d694cLELh3ZtJurQR2CB/ZdPpVtAY7MjiYjUiPDOV7E7/3OaL7qbznmb2PzWUDpNXICrq9vFH+zg7K4sBQQEEBAQUKnHxsfH4+TkRGBgIADR0dE888wzFBYW4urqCsDy5ctp06YNDRo0qLLMYh+Ki4rI+3YcbpZi4r2iiRqkySdFpG5p230A2/M/4LJfRhN1+jc2vnMP3SZ8hZOzs9nRTGV3b8OVV0xMDG+++SZbtmzhwIEDzJ49m8cee4y7777bVoTuvPNO3NzcGD16NDt27GDu3LnMmDGDSZMmmZxezPDHvJdpU7SbHMOTxne+q2u/iUid1KHXEHZf9SZFhhPdM5ey6X8PYlitZscylcP+NnB3d2fOnDn06dOH9u3b8+KLL/LYY4+VmEPJz8+PZcuWkZiYSFRUFJMnT2bq1Kk88MADJiYXM6Qm7aVTwtnpAXZ0+CdBzVqZnEhExDydrr2H2K4vAdD92Hw2fv60yYnMZTEMwzA7hD3LysrCz8+PzMxMfH19zY4jlRT36iAiz/zOTtcOtJ3ya50/5CwiAhDz1f8jes9rAPzRYSqX3zbZ5ERVpyK/vx32yJJIecUv/4rIM79TaDjj9Y8ZKkoiIn+KvvNf/N70PgC6bvsPcT9/ZnIic6gsSZ12JieT4HVTAdjU9C5atOtmciIRkdolevR0NjS4EWeLQfvfJ7F93UKzI9U4lSWp07bM/hfBHOcoAXS56yWz44iI1DoWJyeixn1CXL2rcLMUEbrsfvZt/d3sWDVKZUnqrIO7NtEtZTYAaVf9B896PiYnEhGpnVxcXWn38Dx2unXCx5JL/QXDSd6/w+xYNUZlSeokw2rlzIJHcbUUE+fVky79h5sdSUSkVvPwrEfIuO854NwSfzJw+vIWjqUkmR2rRqgsSZ30xw/vElG4nTOGO43veMvsOCIidsGnfiP8HviRI5YgmhppZM26mayMk2bHqnYqS1LnZJxIpfWWVwHY2upBgpu3NjmRiIj9aBTUHMs933OS+oQXH+Dw+0MoyHPs68ipLEmdk/D1EzQgi4NOzYm6419mxxERsTtNwiI49Y+vyTE8icjfyrb37sKwFpsdq9qoLEmdsn/r71x+4kcATvd/BVc3XRRZRKQywjv1ZH+//1FoOBOVtYINH000O1K1UVmSOsOwWsn/6XGcLAabffrSvuf1ZkcSEbFrnXvfTFzkCwBckfI5G+a+YnKi6qGyJHVG7JKPiSjcTq7hRtPbXzc7joiIQ+g+5GFiQscC0G3nNOKWzzY5UdVTWZI64UxOJs3+ODvpZHyLUQSHhJucSETEcVwxchobG56d5bvt2ons3rTS7EhVSmVJ6oStc54niJOkWAKJHPZvs+OIiDgUi5MTXR/6mC2e3fG0FBC4cCTJ+7abHavKqCyJw0s5mECX5M8BSO3xDB5e3iYnEhFxPC6uboSPm89el3AakoVl9m2cPHbE7FhVQmVJHF7q/H/iYSlku3sXIgeMMDuOiIjDqudTnwb3f8dRSyDNjKMc/+AfnDmdZXasS6ayJA5t+7qf6Hr6V4oMJ+rd/DoWJ33Li4hUJ//g5hQNn08m9WhbtJuE9+7AWlRkdqxLot8c4rCKi4qot+LspJObA26hZcTlJicSEakbQi7rwtFBn5BvuBJ5eh2bPhxndqRLorIkDmvzD2/T0nqQDLxpO3ya2XFEROqUtj0GsrX72XmXuqfN5Y95r5qcqPJUlsQhnc7OIGzbmwDsvuwh/BoFmRtIRKQOunzwaH5vMR6AyB3T2Lb6G5MTVY7KkjikrfP+H/5kcNgSTNdb/2l2HBGROit6xP9jo991uFistFz1MIk7/zA7UoWpLInDOZ5ykM5JZ6cKONZ9Cm7uHiYnEhGpuyxOTnQe9yk73DribcnFY95wTqQmmx2rQlSWxOEkzn8GL0s+u13aETlwpNlxRETqPHd3T5o+8A3JliY05jgnP7qV3NM5ZscqN5UlcSiJOzYQlb7o7J0B/9FUASIitUR9/2C4cy6Z1KNNUQI7378La3Gx2bHKRb9JxKFk//QMzhaDWO/etO1+rdlxRETkL0Jad+LIgI8oMJyJylnN+o8nmx2pXFSWxGFsW7OATnl/UGA4EzhEUwWIiNRGET2vZ2vk8wD0PPIJG757x+REF6eyJA6huKiIemvO/vDFBt1Ks/AOJicSEZEL6TbkETY0vReAyPip7IpZYm6gi1BZEocQu3AmYdaDZOFF29v/Y3YcERG5iO6jpxPr3Qc3SzGNf76flAM7zY50QSpLYvfy887QLP5NAHaE3X/2JEIREanVLE7OtHtoNnucW1OfHAq/vJ2crHSzY5VKZUnsXtx3b9KY4xynAV1ufcLsOCIiUk6e9XzwGzWP4zQg1JrM/pnDa+VFd1WWxK6dzs6gdcJMAA5EjMezno/JiUREpCKCmoZx8sazF93tfGY9f3z8mNmRzqOyJHZt67cv04hMjliCiLz5EbPjiIhIJbSN6suWqP8HQI+Uz9n800yTE5XkUpGNf/zxxwq/wLXXXounp2eFHydyMZkn02h/8DMAjkZOoqkuayIiYre63zSW34/uoOfRz+mw6V/sadqWy7pebXYsACyGYRjl3dipgrMhWywW9u7dS1hYWIWD2YusrCz8/PzIzMzE19fX7Dh1Ssz/HiH66OckOrUg9JlYnJydzY4kIiKXoLi4mG2vD6ZLbgzHaYAxZhWBTVtWy2tV5Pd3hd+GS01NxWq1luvm5eVV6UGIlOVEyiG6pMwBILPnFBUlEREH4OzsTKuxX3HQqTkBnCLzk6HknTH/GnIVKksjR46s0Ftqd999t462SLXY/+1UPC0F7HZpR+drhpkdR0REqoiPX0Nc757HKXxoXbSX7e+PwLBaTc1UobL0ySef4ONT/k8bvf/++/j7+1c4lEhZjhzYRdcTPwFQ3PffuliuiIiDaRrWjpRr/0eh4Uy37BWs/+JfpubRbxmxOyk/TMXVUsxWjyjaXznY7DgiIlIN2l85mLj2UwAIPfgNZ3IyTctSoU/DTZo0qdzbTp8+vcJhRC7mUEI8XTOWgwU8Bz5ndhwREalG3W9/gvVfF3JZv3vx8vYzLUeFylJcXFy5trNYLJUKI3Ixxxf9h1CLQZxXTyIje5sdR0REqtkVw58xO0LFytKqVauqK4fIRR1KiCcycwVYwGeg+T88IiJSN1SoLP1dRkYGs2bNYteuXQC0b9+eUaNG4edn3qEycVwljip1vsrsOCIiUkdU+gTvTZs20apVK/773/+Snp5Oeno606dPp1WrVsTGxlZlRpH/O6qEjiqJiEjNqvSRpccee4ybbrqJDz/8EBeXs09TVFTE/fffz8SJE/n111+rLKSIjiqJiIhZKl2WNm3aVKIoAbi4uPDEE0/QrVu3KgknAn8/V8ncuTZERKTuqfTbcL6+viQlJZ23PDk5uUITV4pczPFF/8H5z6NK4Z2vNDuOiIjUMZUuS8OGDWP06NHMnTuX5ORkkpOTmTNnDvfffz/Dhw+vyoxShx1KiKer7VwlHVUSEZGaV+m34V5//XUsFgsjRoygqKgIAFdXVx566CFefvnlKgsodVvJc5V0VElERGqexTAM41Ke4MyZM+zfvx+AVq1a4eXlVSXB7EVWVhZ+fn5kZmbqosFVLGlPPM1mX42TxWDfLYv1FpyIiFSZivz+vqR5lgC8vLzo2LHjpT6NyHnSFr9Mcx1VEhERk11SWcrLy2Pr1q0cO3YMq9VaYt1NN910ScGkbjt6KIEup5aBBbyuedzsOCIiUodVuiwtXbqUESNGcOLEifPWWSwWiouLLymY1G1JP71CY0sx29270KHbNWbHERGROqzSn4Z75JFHGDp0KEePHsVqtZa4qSjJpTiZdpjOx388e6fXZHPDiIhInVfpspSWlsakSZMICgqqyjwi7PnhVTwshSS4tKF9zxvMjiMiInVcpcvSbbfdxurVq6swSsW8+OKL9OzZEy8vL+rXr1/qNklJSQwePBgvLy8CAwN5/PHHbdMcnLN69Wq6du2Ku7s74eHhfPrpp9UfXi4o89QJOhyZB0Buj4lYnCr9LSoiIlIlKn3O0jvvvMPQoUP57bff6NixI66uriXWT5gw4ZLDlaWgoIChQ4cSHR3NrFmzzltfXFzM4MGDCQ4O5vfff+fo0aOMGDECV1dXXnrpJQASExMZPHgwY8eOZfbs2axYsYL777+fxo0bM3DgwGrNL6Xb9cN0rrDkctCpOZ2uGWZ2HBERkcrPszRr1izGjh2Lh4cHjRo1wmKx/N+TWiwcOHCgykKW5dNPP2XixIlkZGSUWL5kyRJuuOEGUlJSbG8Vzpw5kyeffJLjx4/j5ubGk08+yaJFi9i+fbvtcXfccQcZGRksXbq0XK+veZaqTu7pbPJei6ABWWzq+grdbhprdiQREXFQFfn9Xen3OJ555hmef/55MjMzOXjwIImJibZbTRWlssTExNCxY8cS51QNHDiQrKwsduzYYdumf//+JR43cOBAYmJiajSrnLXlx7doQBYpliC6DBpldhwRERHgEt6GKygoYNiwYTjV0nNKUlNTzzv5/Nz91NTUMrfJysoiNzcXT0/P8543Pz+f/Px82/2srKyqjl4nFeTn0TLh7NupyREP0MTVzeREIiIiZ1W66YwcOZK5c+dWZRamTJmCxWIp87Z79+4qfc2KmjZtGn5+frZbSEiIqXkcxZZF/yOIkxynAZ1veMjsOCIiIjaVPrJUXFzMq6++ys8//0ynTp3OO8F7+vTpFX7OyZMnc++995a5TVhYWLmeKzg4mI0bN5ZYlpaWZlt37s9zy/66ja+vb6lHlQCeeuopJk2aZLuflZWlwnSJrMXFBG7/AID94SO5wrOeyYlERET+T6XL0rZt24iMjAQocYI0UOJk74oICAggICCgspFKiI6O5sUXX+TYsWMEBgYCsHz5cnx9fYmIiLBts3jx4hKPW758OdHR0Rd8Xnd3d9zd3asko5y1dfV8ulgPk2140v7GR82OIyIiUkKly9KqVauqMkeFJSUlkZ6eTlJSEsXFxcTHxwMQHh6Ot7c3AwYMICIignvuuYdXX32V1NRU/vWvfzF+/Hhb2Rk7dizvvPMOTzzxBKNGjWLlypXMmzePRYsWmTiyusd1wzsA7Gj8D67wa2hyGhERkZIqfM7S1KlT2bx5c3VkqXCOyMhInn32WXJycoiMjCQyMpJNmzYB4OzszMKFC3F2diY6Opq7776bESNG8MILL9ieo2XLlixatIjly5fTuXNn3njjDT766CPNsVSD9sSuoX3BNgoNZ1reoEubiIhI7VPheZZGjRrFwoULcXNz48Ybb+Smm26iX79+uLnVzU8vaZ6lS7P5jSFEZa/iD78BXP7YfLPjiIhIHVGt8yx9/PHHpKam8vXXX+Pj48PEiRPx9/fn1ltv5fPPPyc9Pb3SwaVuSTmYQJes1QA07K+jSiIiUjtVauoAJycnevXqxauvvkpCQgIbNmygR48e/O9//6NJkyb07t2b119/nSNHjlR1XnEgSYtfx9lisM29K606XmF2HBERkVJVyYyS7dq144knnmDdunUkJSUxcuRIfvvtN77++uuqeHpxQJnpx+mU9sPZOz0fMTeMiIhIGSp9bTg5S+csVU7MZ88QnfgOB5xa0PJfcVhq6UzwIiLimCry+7vCUwf84x//uOg2Li4uBAcHc+2113LjjTdW9CXEwRXk5xGeOBuAk50fJExFSUREarEK/5b666U+LnTz9PRk7969DBs2jKlTp1ZHbrFjW5Z8RACnOEZDOl+nC+aKiEjtVuEjS5988km5t124cCHjxo0rMbeR1G2G1Yr/1rOXNjnQ6h6ucPcwOZGIiEjZKv3+R1knbz/++OMAXHXVVXTr1q2yLyEOaPvan2hpPcRpw4N2N0wwO46IiMhFVbosPfTQQyxZsuS85Y899hhffvklAPXr12fBggWVTycOp3j9+wBsD7wBvwb+JqcRERG5uEqXpdmzZzN8+HDWrl1rW/bII48wb948068bJ7XTkQM76HR6PQBNBk40N4yIiEg5VbosDR48mPfee4+bbrqJzZs3M27cOBYsWMCqVato27ZtVWYUB5G89E2cLAZbPLsTEt7R7DgiIiLlUuETvP/qzjvvJCMjgyuvvJKAgADWrFlDeHh4VWUTB5KTdYoOaT+BBZyueMjsOCIiIuVWobI0adKkUpcHBATQtWtX3nvvPduy6dOnX1oycSjbF73PFZZcDjk1o0OvIWbHERERKbcKlaW4uLhSl4eHh5OVlWVbb7FYLj2ZOAxrcTFN93wBQGrbkYRqEkoREbEjFSpLOnFbKmPbmm/pbKSQhRcdBj1gdhwREZEKqdB/8bdu3YrVai339jt27KCoqKjCocSxWDbOBGBn0M3U86lvbhgREZEKqlBZioyM5OTJk+XePjo6mqSkpAqHEsdxaHcsnfI2U2xYaD7oMbPjiIiIVFiF3oYzDIN///vfeHl5lWv7goKCSoUSx5G6fAahwNZ6PYls0cbsOCIiIhVWobLUu3dvEhISyr19dHQ0np6eFQ4ljiEr4yQdTywBC7hdOd7sOCIiIpVSobK0evXqaoohjmjnkv9xhSWfg07NiYgeZHYcERGRStFnuKVaGFYrjffOBiCtzd1YNF2AiIjYKf0Gk2qxI2YRodbDnDY8iLhujNlxREREKk1lSapFQcyHAGz3vw4fv4YmpxEREak8lSWpcsdTDtIxey0AAX3HmZxGRETk0lS6LCUnJ1dlDnEg+5a+h6ulmF2u7Qnr0MPsOCIiIpekQp+G+6vQ0FAaNmxI586d6dKli+1WUFDAW2+9xWeffVaVOcVOFBUW0CppPgCnO400OY2IiMilq3RZSkxMJC4ujvj4eOLi4pg3bx4pKSkA+Pr6VllAsS9bV86lK+mk40vHa+8xO46IiMglu6QjS6GhoQwZMsS2LCYmhpEjR/LCCy9URTaxQ66xswBIaHIL0R7lm+ldRESkNqvSE7yjo6OZMWMGr7/+elU+rdiJ5L1b6Jgfh9WwEDpAM3aLiIhjqHRZutB131q3bs2OHTsqHUjs15Ff3gNgq1cPmug6cCIi4iAq/Tact7c3ERERREZG0qVLFyIjI2nSpAlvv/02/fv3r8qMYgfyzuQQkfYTAJbu95ucRkREpOpYDMMwKvPAtWvXsmXLFrZs2UJ8fDzbt28nLy8PgOuuu45u3brRsWNHOnbsSNu2bas0dG2SlZWFn58fmZmZdfrE9j9+eI/L457iKAEE/ms3zi6V7uEiIiLVriK/vyv9G+2qq67iqquust23Wq0kJCQQHx9PfHw8Gzdu5MMPP+TYsWMUFxdX9mXETtTbfvY6cAdDb6WxipKIiDiQKvut5uTkRLt27WjXrh3Dhw+3LU9LS6uql5Ba6lBCPBGF2yk2LIRd+4DZcURERKpUtV/uJCgoqLpfQkx2dOVMALZ59SCoWSuT04iIiFQtXRtOLklBfh5t0hadvdNVM3aLiIjjUVmSS7Jtxdc0IItjNKTD1beZHUdERKTKqSzJJXHb8jkA+5vejIurm8lpREREqp7KklRaSuJuOubHAhDaf6zJaURERKqHypJU2qFf/jyx270rTVo67lxaIiJSt6ksSaUUFRbQ6sgPABR0HmFyGhERkeqjsiSVsn31NwSSTjq+dOw3/OIPEBERsVMqS1I5sZ8BsCf4RtzcPUwOIyIiUn1UlqTCTqQcouOZDQA0uUYzdouIiGNTWZIK2/fLRzhbDHa5RtD8si5mxxEREalWKktSIYbVSuOD3wGQ3fZ2k9OIiIhUP5UlqZA9sasJtSaTa7jRrr8ubyIiIo5PZUkqJCPm7IndO/z64OPX0OQ0IiIi1U9lScot70wO7U4uA8Dj8ntMTiMiIlIzVJak3Lav+hpfzpBKABE9bzA7joiISI1QWZJyc9s2B4CDzW7CydnZ5DQiIiI1Q2VJyiXt8H465G4GIOSa0SanERERqTkqS1IuB1bMwslisNOtI03D2psdR0REpMaoLMlFGVYrzf6cWymnneZWEhGRusVuy9KLL75Iz5498fLyon79+qVuY7FYzrvNmTOnxDarV6+ma9euuLu7Ex4ezqefflr94e1MwqYVhBgpnDHcad9/hNlxREREapTdlqWCggKGDh3KQw89VOZ2n3zyCUePHrXdhgwZYluXmJjI4MGD6du3L/Hx8UycOJH777+fn3/+uZrT25esmE8B2FG/L/V86puaRUREpKa5mB2gsp5//nmAix4Jql+/PsHBwaWumzlzJi1btuSNN94AoF27dqxdu5b//ve/DBw4sErz2qu8Mzm0S18BFvDqrqNKIiJS99jtkaXyGj9+PP7+/nTv3p2PP/4YwzBs62JiYujfv3+J7QcOHEhMTMwFny8/P5+srKwSN0e2Y/VcfCy5pBJAuyuuMzuOiIhIjbPbI0vl8cILL3DNNdfg5eXFsmXLGDduHDk5OUyYMAGA1NRUgoKCSjwmKCiIrKwscnNz8fT0PO85p02bZjuqVRc4b58PQGKT6wnW3EoiIlIH1aojS1OmTCn1pOy/3nbv3l3u5/v3v//NlVdeSWRkJE8++SRPPPEEr7322iVlfOqpp8jMzLTdkpOTL+n5arNTx4/S/vRGAJr00kVzRUSkbqpVR5YmT57MvffeW+Y2YWFhlX7+Hj168J///If8/Hzc3d0JDg4mLS2txDZpaWn4+vqWelQJwN3dHXd390pnsCd7Vn5OD0sx+5xbEd4uyuw4IiIipqhVZSkgIICAgIBqe/74+HgaNGhgKzvR0dEsXry4xDbLly8nOjq62jLYE7+9Z+dWOhE2hHCTs4iIiJilVpWlikhKSiI9PZ2kpCSKi4uJj48HIDw8HG9vb3766SfS0tK44oor8PDwYPny5bz00kv885//tD3H2LFjeeedd3jiiScYNWoUK1euZN68eSxatMikUdUeRw7soG3RLooNC+F99RaciIjUXXZblqZOncpnn31mux8ZGQnAqlWruPrqq3F1deXdd9/lsccewzAMwsPDmT59OmPGjLE9pmXLlixatIjHHnuMGTNm0KxZMz766CNNGwAkrf6MpsAOz650ahJqdhwRERHTWIy/fpZeKiwrKws/Pz8yMzPx9fU1O06VMKxWDv+nPSFGCn9ETuPym8eZHUlERKRKVeT3d636NJzUDnvjf7Vd3iTimjvNjiMiImIqlSU5z6mYLwDY6ddLlzcREZE6T2VJSigsyKf18WUAuEbeYXIaERER86ksSQk71/5AQ7I4iR/tr7rZ7DgiIiKmU1mSEgrj5gCwN3AgLq5uJqcRERExn8qS2JzJySQiay0ADa+42+Q0IiIitYPKktjsXDMPL0s+hy3BtO7Sy+w4IiIitYLKktg471gAQHKTQVic9K0hIiICKkvyp8xTJ2h/eiMAwVfeZXIaERGR2kNlSQBIWP01bpYiDjo1p2XE5WbHERERqTVUlgQAj4QfADgacr3JSURERGoXlSXh1PGjRORuBqBZL30KTkRE5K9UloQ9q2fjYrGy1zmckPCOZscRERGpVVSWBO+9Z9+CO9lisMlJREREah+VpTrueMpB2uVvAyC0tz4FJyIi8ncqS3Xc/tVf4mQx2O0aQePQNmbHERERqXVUluq4+gcWApARdqPJSURERGonlaU6LOVgAm2LdlFsWAjvq0/BiYiIlEZlqQ5L+vVLAHZ5dMY/uLnJaURERGonlaU6zP/QIgDOtL7Z5CQiIiK1l8pSHXXkwA7Ci/dTZDjRus9ws+OIiIjUWipLdVTy2jnA2bfgGgQ0NjmNiIhI7aWyVEc1TFoKwJnwG0xOIiIiUrupLNVBRw8lcFnRHooNC616DTM7joiISK2mslQHHVo7F4Dd7h3wDw4xOY2IiEjtprJUB9U/uASAnDBdC05ERORiVJbqmGNHEmlbuBOAsN76FJyIiMjFqCzVMQd+/RqAXa4RBDRpYW4YERERO6CyVMf4Ji4GILPl9SYnERERsQ8qS3XIidQk2uZvB6DFVXeYnEZERMQ+qCzVIft/nYOTxWCPy2UEN29tdhwRERG7oLJUh9Tbf/ZacOmhg0xOIiIiYj9UluqI9GNHaJu3FYCQK/UpOBERkfJSWaoj9v02DxeLlX3OrWga1s7sOCIiInZDZamO8Ni7EIDjza8zOYmIiIh9UVmqA7IyTtI2Nw6AptG3m5xGRETEvqgs1QF71i3AzVLMIadmNL+si9lxRERE7IrKUh1g2X32U3ApwdeYnERERMT+qCw5uPy8M7TJWg9Aw663mJxGRETE/qgsObiEmMV4W3I5TgNaR/YxO46IiIjdUVlycLnbfwTgQKM+ODk7m5xGRETE/qgsOTBrcTGtTq4BwLPjTSanERERsU8qSw5sT9xq/Mkg2/CkbfRgs+OIiIjYJZUlB3Yq9nsA9vhG4+buYW4YERERO6Wy5MCapK4EwGh7vclJRERE7JfKkoM6lBBPqPUwBYYzl135D7PjiIiI2C2VJQeVsuFbAHZ7RuJbv5HJaUREROyXypKDapi0DIDcMF04V0RE5FKoLDmgEymHaFO0G4Cwq4aanEZERMS+qSw5oP3r5gOQ4NKGgCYtzA0jIiJi51SWHJDn/qUApIdca3ISERER+6ey5GBOZ2fQNjcOgMbddeFcERGRS6Wy5GD2xCzEzVJEiiWI0DZdzY4jIiJi91SWHEzhriUAJPn3xuKk3SsiInKp7PK36cGDBxk9ejQtW7bE09OTVq1a8eyzz1JQUFBiu61bt9KrVy88PDwICQnh1VdfPe+55s+fT9u2bfHw8KBjx44sXry4poZR5azFxbQ8tQ6Aeh11LTgREZGqYJdlaffu3VitVv73v/+xY8cO/vvf/zJz5kyefvpp2zZZWVkMGDCA0NBQNm/ezGuvvcZzzz3HBx98YNvm999/Z/jw4YwePZq4uDiGDBnCkCFD2L59uxnDumT7t/1OAKc4bXhwWfeBZscRERFxCBbDMAyzQ1SF1157jffff58DBw4A8P777/PMM8+QmpqKm5sbAFOmTOH7779n9+6zcxANGzaM06dPs3DhQtvzXHHFFXTp0oWZM2eW63WzsrLw8/MjMzMTX1/fKh5VxcR8/DjRSR8QW68XXR9fePEHiIiI1FEV+f1tl0eWSpOZmUnDhg1t92NiYujdu7etKAEMHDiQhIQETp06Zdumf//+JZ5n4MCBxMTEXPB18vPzycrKKnGrLfxTVgFQFD7A5CQiIiKOwyHK0r59+3j77bd58MEHbctSU1MJCgoqsd25+6mpqWVuc259aaZNm4afn5/tFhISUlXDuCQnUg7RumgvAGHRmjJARESkqtSqsjRlyhQsFkuZt3NvoZ1z5MgRrrvuOoYOHcqYMWOqPeNTTz1FZmam7ZacnFztr1keB2K+A2CPy2X4B9eOAiciIuIIXMwO8FeTJ0/m3nvvLXObsLAw299TUlLo27cvPXv2LHHiNkBwcDBpaWkllp27HxwcXOY259aXxt3dHXd394uOpaa57j974dyTTa8xOYmIiIhjqVVlKSAggICAgHJte+TIEfr27UtUVBSffPIJTn+bUyg6OppnnnmGwsJCXF1dAVi+fDlt2rShQYMGtm1WrFjBxIkTbY9bvnw50dHRVTOgGpKXe5o2pzeBBQK63mR2HBEREYdSq96GK68jR45w9dVX07x5c15//XWOHz9OampqiXON7rzzTtzc3Bg9ejQ7duxg7ty5zJgxg0mTJtm2efTRR1m6dClvvPEGu3fv5rnnnmPTpk08/PDDZgyr0vasX4KXJZ9jNKRVR/sqeiIiIrVdrTqyVF7Lly9n37597Nu3j2bNmpVYd24mBD8/P5YtW8b48eOJiorC39+fqVOn8sADD9i27dmzJ1999RX/+te/ePrpp2ndujXff/89HTp0qNHxXKrcHYsASGx4FYGatVtERKRKOcw8S2Yxe54lw2ol9YXLaMxx4q+aSZf+w2s8g4iIiL2pk/Ms1VUHd2+mMcfJM1xpE32D2XFEREQcjsqSnUv943sAErwi8aznY24YERERB6SyZOfqHz47a3dey2tNTiIiIuKYVJbsWOapE7Qu2AVASPebTU4jIiLimFSW7Nj+9T/hYrFyyKkZTVq0MTuOiIiIQ1JZsmNFe5YDcDTgKpOTiIiIOC6VJTtlWK20OBUDQL2IgSanERERcVwqS3bq4K4/CCSdXMON1t1VlkRERKqLypKdSos9O2v3Hq8ueHjWMzmNiIiI41JZslM+yasByG3e19QcIiIijk5lyQ7lZJ2idf52AJpdfpPJaURERBybypId2rdhCW6WYg5bgmkWbl8X/RUREbE3Kkt2KH/3zwAcadTT5CQiIiKOT2XJzhhWKyHpvwPgoSkDREREqp3Kkp1J3reVJsYxCgwXWncfZHYcERERh6eyZGdSNv0EQIJHR7y8/UxOIyIi4vhUluyMV9JqAE5rygAREZEaobJkR/LO5HBZ7hYAGne9weQ0IiIidYPKkh1J2LAED0shqfjTvE2k2XFERETqBJUlO5K78+yUAYca9sTipF0nIiJSE/Qb1440OXl2ygC3Nv1NTiIiIlJ3qCzZidTkfTS3HqHYsBDWfbDZcUREROoMlSU7kbRpMQD7XC/Dr4G/yWlERETqDpUlO+F0YDUA6cFXmhtERESkjlFZsgPW4mLCsv8AwK/9AJPTiIiI1C0qS3YgcccGGpLFGcOd8K6ajFJERKQmqSzZgeNblgKw16sLbu4eJqcRERGpW1SW7EC9w78BkBvSy+QkIiIidY/KUi2Xl3ua1nnbAAiOHGRyGhERkbpHZamW27fpFzwshRyjIaFtupodR0REpM5RWarlsnf+AsAhv8t1iRMRERET6LdvLRdwbB0Allb6FJyIiIgZVJZqsVPHjxJWdACAFrrEiYiIiClUlmqxAxsX4WQxSHRqgX9wc7PjiIiI1EkqS7VY8b6VAKQFXGFyEhERkbpLZamWMqxWmp/aCIBn2/4mpxEREam7VJZqqcMHdhDMcQoMF1pfruvBiYiImEVlqZbKSNnHSfzY6x6Bl7ef2XFERETqLBezA0jpOva+BeuVN+F86rjZUUREROo0HVmqxZycnanvH2x2DBERkTpNZUlERESkDCpLIiIiImVQWRIREREpg8qSiIiISBlUlkRERETKoLIkIiIiUgaVJREREZEyqCyJiIiIlEFlSURERKQMKksiIiIiZVBZEhERESmDypKIiIhIGVSWRERERMrgYnYAe2cYBgBZWVkmJxEREZHyOvd7+9zv8bKoLF2i7OxsAEJCQkxOIiIiIhWVnZ2Nn59fmdtYjPJUKrkgq9VKSkoKPj4+WCyWKn3urKwsQkJCSE5OxtfXt0qfuzZw9PGB449R47N/jj5Gjc/+VdcYDcMgOzubJk2a4ORU9llJOrJ0iZycnGjWrFm1voavr6/D/hCA448PHH+MGp/9c/Qxanz2rzrGeLEjSufoBG8RERGRMqgsiYiIiJRBZakWc3d359lnn8Xd3d3sKNXC0ccHjj9Gjc/+OfoYNT77VxvGqBO8RURERMqgI0siIiIiZVBZEhERESmDypKIiIhIGVSWRERERMqgsmSy5557DovFUuLWtm1b2/q8vDzGjx9Po0aN8Pb25tZbbyUtLc3ExBf366+/cuONN9KkSRMsFgvff/99ifWGYTB16lQaN26Mp6cn/fv3Z+/evSW2SU9P56677sLX15f69eszevRocnJyanAUF3ax8d17773n7dPrrruuxDa1eXzTpk3j8ssvx8fHh8DAQIYMGUJCQkKJbcrzfZmUlMTgwYPx8vIiMDCQxx9/nKKiopocSqnKM76rr776vH04duzYEtvU1vEBvP/++3Tq1Mk2iV90dDRLliyxrbfn/QcXH5+977+/e/nll7FYLEycONG2zN734V+VNr5atw8NMdWzzz5rtG/f3jh69Kjtdvz4cdv6sWPHGiEhIcaKFSuMTZs2GVdccYXRs2dPExNf3OLFi41nnnnGWLBggQEY3333XYn1L7/8suHn52d8//33xpYtW4ybbrrJaNmypZGbm2vb5rrrrjM6d+5srF+/3vjtt9+M8PBwY/jw4TU8ktJdbHwjR440rrvuuhL7ND09vcQ2tXl8AwcOND755BNj+/btRnx8vHH99dcbzZs3N3JycmzbXOz7sqioyOjQoYPRv39/Iy4uzli8eLHh7+9vPPXUU2YMqYTyjK9Pnz7GmDFjSuzDzMxM2/raPD7DMIwff/zRWLRokbFnzx4jISHBePrppw1XV1dj+/bthmHY9/4zjIuPz973319t3LjRaNGihdGpUyfj0UcftS239314zoXGV9v2ocqSyZ599lmjc+fOpa7LyMgwXF1djfnz59uW7dq1ywCMmJiYGkp4af5eJqxWqxEcHGy89tprtmUZGRmGu7u78fXXXxuGYRg7d+40AOOPP/6wbbNkyRLDYrEYR44cqbHs5XGhsnTzzTdf8DH2ND7DMIxjx44ZgLFmzRrDMMr3fbl48WLDycnJSE1NtW3z/vvvG76+vkZ+fn7NDuAi/j4+wzj7D/Vf/+H+O3sa3zkNGjQwPvroI4fbf+ecG59hOM7+y87ONlq3bm0sX768xJgcZR9eaHyGUfv2od6GqwX27t1LkyZNCAsL46677iIpKQmAzZs3U1hYSP/+/W3btm3blubNmxMTE2NW3EuSmJhIampqiTH5+fnRo0cP25hiYmKoX78+3bp1s23Tv39/nJyc2LBhQ41nrozVq1cTGBhImzZteOihhzh58qRtnb2NLzMzE4CGDRsC5fu+jImJoWPHjgQFBdm2GThwIFlZWezYsaMG01/c38d3zuzZs/H396dDhw489dRTnDlzxrbOnsZXXFzMnDlzOH36NNHR0Q63//4+vnMcYf+NHz+ewYMHl9hX4Dg/gxca3zm1aR/qQrom69GjB59++ilt2rTh6NGjPP/88/Tq1Yvt27eTmpqKm5sb9evXL/GYoKAgUlNTzQl8ic7l/us3+Ln759alpqYSGBhYYr2LiwsNGza0i3Ffd911/OMf/6Bly5bs37+fp59+mkGDBhETE4Ozs7Ndjc9qtTJx4kSuvPJKOnToAFCu78vU1NRS9/G5dbVFaeMDuPPOOwkNDaVJkyZs3bqVJ598koSEBBYsWADYx/i2bdtGdHQ0eXl5eHt789133xEREUF8fLxD7L8LjQ8cY//NmTOH2NhY/vjjj/PWOcLPYFnjg9q3D1WWTDZo0CDb3zt16kSPHj0IDQ1l3rx5eHp6mphMKuuOO+6w/b1jx4506tSJVq1asXr1avr162disoobP34827dvZ+3atWZHqRYXGt8DDzxg+3vHjh1p3Lgx/fr1Y//+/bRq1aqmY1ZKmzZtiI+PJzMzk2+++YaRI0eyZs0as2NVmQuNLyIiwu73X3JyMo8++ijLly/Hw8PD7DhVrjzjq237UG/D1TL169fnsssuY9++fQQHB1NQUEBGRkaJbdLS0ggODjYn4CU6l/vvn9r465iCg4M5duxYifVFRUWkp6fb5bjDwsLw9/dn3759gP2M7+GHH2bhwoWsWrWKZs2a2ZaX5/syODi41H18bl1tcKHxlaZHjx4AJfZhbR+fm5sb4eHhREVFMW3aNDp37syMGTMcZv9daHylsbf9t3nzZo4dO0bXrl1xcXHBxcWFNWvW8NZbb+Hi4kJQUJBd78OLja+4uPi8x5i9D1WWapmcnBz2799P48aNiYqKwtXVlRUrVtjWJyQkkJSUVOK9eXvSsmVLgoODS4wpKyuLDRs22MYUHR1NRkYGmzdvtm2zcuVKrFar7QfGnhw+fJiTJ0/SuHFjoPaPzzAMHn74Yb777jtWrlxJy5YtS6wvz/dldHQ027ZtK1EKly9fjq+vr+2tErNcbHyliY+PByixD2vr+C7EarWSn59v9/vvQs6NrzT2tv/69evHtm3biI+Pt926devGXXfdZfu7Pe/Di43P2dn5vMeYvg+r/JRxqZDJkycbq1evNhITE41169YZ/fv3N/z9/Y1jx44ZhnH246HNmzc3Vq5caWzatMmIjo42oqOjTU5dtuzsbCMuLs6Ii4szAGP69OlGXFyccejQIcMwzk4dUL9+feOHH34wtm7datx8882lTh0QGRlpbNiwwVi7dq3RunXrWvPR+rLGl52dbfzzn/80YmJijMTEROOXX34xunbtarRu3drIy8uzPUdtHt9DDz1k+Pn5GatXry7xsd0zZ87YtrnY9+W5j/UOGDDAiI+PN5YuXWoEBATUio8tX2x8+/btM1544QVj06ZNRmJiovHDDz8YYWFhRu/evW3PUZvHZxiGMWXKFGPNmjVGYmKisXXrVmPKlCmGxWIxli1bZhiGfe8/wyh7fI6w/0rz90+H2fs+/Lu/jq827kOVJZMNGzbMaNy4seHm5mY0bdrUGDZsmLFv3z7b+tzcXGPcuHFGgwYNDC8vL+OWW24xjh49amLii1u1apUBnHcbOXKkYRhnpw/497//bQQFBRnu7u5Gv379jISEhBLPcfLkSWP48OGGt7e34evra9x3331Gdna2CaM5X1njO3PmjDFgwAAjICDAcHV1NUJDQ40xY8aU+HirYdTu8ZU2NsD45JNPbNuU5/vy4MGDxqBBgwxPT0/D39/fmDx5slFYWFjDoznfxcaXlJRk9O7d22jYsKHh7u5uhIeHG48//niJOV4Mo/aOzzAMY9SoUUZoaKjh5uZmBAQEGP369bMVJcOw7/1nGGWPzxH2X2n+XpbsfR/+3V/HVxv3ocUwDKPqj1eJiIiIOAadsyQiIiJSBpUlERERkTKoLImIiIiUQWVJREREpAwqSyIiIiJlUFkSERERKYPKkoiIiEgZVJZEREREyqCyJCIiIlIGlSURcXgWi6XM23PPPVfm4/v27ctHH31U6rqrr76aiRMnllg2Y8YM3N3dmTNnThWNQETM5GJ2ABGR6nb06FHb3+fOncvUqVNJSEiwLfP29r7gY9PT01m3bl25i8+zzz7L66+/zg8//MB1111X+dAiUmuoLImIwwsODrb93c/PD4vFUmJZWRYtWkTXrl0JCgoqczvDMJgwYQJffvkly5cvp2fPnpeUWURqD5UlEZEy/Pjjj9x8881lblNUVMTdd9/NypUrWbNmDZ06daqhdCJSE1SWREQuID8/n6VLl170nKYPP/wQgC1bttC2bdsaSCYiNUkneIuIXMDKlSsJDAykffv2ZW531VVX4e3tzb///W+KiopqKJ2I1BSVJRGRC/jxxx+56aabLrpdx44dWbFiBatWrWLYsGEqTCIORmVJRKQUhmHw008/XfR8pXO6dOnCihUr+PXXX7n99tspLCys5oQiUlNUlkRESrF582bOnDnDVVddVe7HdO7cmZUrV7J27VoVJhEHorIkIlKKH374geuvvx4Xl4p9DqZjx46sXLmS33//naFDh1JQUFBNCUWkplgMwzDMDiEiUtt06tSJf/3rX9x+++1mRxERk+nIkojI3xQUFHDrrbcyaNAgs6OISC2gI0siIiIiZdCRJREREZEyqCyJiIiIlEFlSURERKQMKksiIiIiZVBZEhERESmDypKIiIhIGVSWRERERMqgsiQiIiJSBpUlERERkTL8f148QJqBzcAsAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "T = np.linspace(50, 450, 1000)\n",
    "Tm = 350\n",
    "dH0 = 200e3\n",
    "#dcp0 = 0.1\n",
    "dcp0 = 2e3   # hydrophobic effect\n",
    "\n",
    "print(\"Predicted Tm2: \")\n",
    "print(Tm**2 / (Tm + 2 * dH0 / dcp0))\n",
    "\n",
    "dH0_ = dH0 + dcp0 * (T - Tm)\n",
    "dS0 = dH0 / Tm + dcp0 * np.log(T / Tm)\n",
    "dmu0 = dH0_ - T * dS0\n",
    "K = np.exp(- (dmu0 / (R*T)))\n",
    "\n",
    "plt.title(\"Unfolding probability\")\n",
    "plt.xlabel(\"T / K\")\n",
    "plt.plot(T, K / (1 + K))\n",
    "plt.show()\n",
    "\n",
    "dH = K / (1 + K) * dH0_\n",
    "plt.title(\"Enthalpy\")\n",
    "plt.xlabel(\"T / K\")\n",
    "plt.ylabel(\"$\\Delta H$ [kJ / mol]\")\n",
    "plt.plot(T, dH0_ / 1000, label='$\\Delta H = \\Delta H_0 + \\Delta c_p (T - T_m)$')\n",
    "plt.plot(T, dH / 1000, label='$H = K / (1 + K) \\Delta H$')\n",
    "plt.legend()\n",
    "plt.show()\n",
    "\n",
    "\n",
    "dcp = np.gradient(dH, T)\n",
    "plt.title(\"Heat capacity\")\n",
    "plt.xlabel(\"T / K\")\n",
    "plt.ylabel(\"$\\Delta c_p$ [kJ / mol K]\")\n",
    "plt.plot(T, dcp / 1000)\n",
    "plt.show()\n",
    "\n",
    "dS = np.zeros_like(dcp)\n",
    "for i in range(0, T.size):\n",
    "    dS[i] = simpson((dcp / T)[:i+1], T[:i+1]) + dS0[0]\n",
    "dmu = dH - T * dS\n",
    "\n",
    "plt.title(\"Entropy\")\n",
    "plt.xlabel(\"T / K\")\n",
    "plt.ylabel(\"$\\Delta S$ [kJ / mol K]\")\n",
    "plt.plot(T, dS0 / 1000,\n",
    "         label='$\\Delta S_0 = \\Delta H_0 / T_m + \\Delta c_{p0} \\\\log(T / T_m)$')\n",
    "plt.plot(T, dS / 1000, label=' $S = \\int c_p / T dT $')\n",
    "plt.plot(T, (dH / Tm) / 1000,\n",
    "         label='$H / T_m$', linestyle='dashed')\n",
    "plt.legend()\n",
    "plt.show()\n",
    "\n",
    "plt.title(\"Chemical potential\")\n",
    "plt.xlabel(\"T / K\")\n",
    "plt.ylabel(\"$\\mu$ [kJ/mol]\")\n",
    "plt.plot(T, dmu0 / 1000, label='$\\Delta H - T \\Delta S_0$')\n",
    "plt.plot(T, dmu / 1000, label='$H - T S$')\n",
    "plt.legend()\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Helix coil transition with infinite cooperativity"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "T = np.linspace(50, 350, 1000)\n",
    "n = np.array([10, 40, 70])  # chain length\n",
    "dH0 = -4.5e3  # per amino acid\n",
    "dS0 = -20\n",
    "\n",
    "plt.title(\"Expected fraction of helical segments\")\n",
    "plt.xlabel(\"T / K\")\n",
    "\n",
    "for i in n:\n",
    "    dmu0 = (i-4) * dH0 - T * (i-2) * dS0\n",
    "    K = np.exp(- (dmu0 / (R*T)))\n",
    "    plt.plot(T, K / (1 + K), label=f\"n={i}\")\n",
    "\n",
    "plt.legend()\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Helix coil transition: Zipper model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "T = np.linspace(50, 350, 1000)\n",
    "n = np.array([10, 40, 70])\n",
    "dS0 = -20  # per amino acid\n",
    "dH0 = -4.5e3  # per amino acid\n",
    "sigma = 10e-3  # assumed to be temperature independent\n",
    "#sigma = np.exp((4* dH0 - 2*T*dS0) / (R*T))\n",
    "\n",
    "K = np.exp(- (dH0 - T * dS0) / (R*T))\n",
    "\n",
    "plt.title(\"Expected fraction of helical segments\")\n",
    "plt.xlabel(\"T / K\")\n",
    "\n",
    "for m in n:\n",
    "    Q = 1\n",
    "    nom = 0\n",
    "    for i in range(1, m+1):\n",
    "        Q += (m-i+1) * sigma * K**i\n",
    "        nom += i * (m-i+1) * sigma * K**i\n",
    "\n",
    "    plt.plot(T, 1/m * nom / Q, label=f\"n={m}\")\n",
    "\n",
    "\n",
    "plt.legend()\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Helix coil transition: Zimm-Bragg-Model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[3.67932221e+34 3.67851897e+36]\n",
      "[1.92800098e+34 1.92755197e+36]\n",
      "[1.01807280e+34 1.01782007e+36]\n",
      "[5.41656096e+33 5.41512874e+35]\n",
      "[2.90324781e+33 2.90243074e+35]\n",
      "[1.56748733e+33 1.56701814e+35]\n",
      "[8.52370728e+32 8.52099566e+34]\n",
      "[4.66771077e+32 4.66613367e+34]\n",
      "[2.57381818e+32 2.57289521e+34]\n",
      "[1.42889099e+32 1.42834753e+34]\n",
      "[7.98578458e+31 7.98256532e+33]\n",
      "[4.49246213e+31 4.49054387e+33]\n",
      "[2.54361735e+31 2.54246766e+33]\n",
      "[1.44934875e+31 1.44865575e+33]\n",
      "[8.31002004e+30 8.30581935e+32]\n",
      "[4.79396198e+30 4.79140159e+32]\n",
      "[2.78231769e+30 2.78074859e+32]\n",
      "[1.62441014e+30 1.62344340e+32]\n",
      "[9.53936950e+29 9.53338183e+31]\n",
      "[5.63427075e+29 5.63054300e+31]\n",
      "[3.34664585e+29 3.34431323e+31]\n",
      "[1.99892547e+29 1.99745852e+31]\n",
      "[1.20049367e+29 1.19956657e+31]\n",
      "[7.24873156e+28 7.24284391e+30]\n",
      "[4.40013762e+28 4.39638072e+30]\n",
      "[2.68495248e+28 2.68254392e+30]\n",
      "[1.64678839e+28 1.64523711e+30]\n",
      "[1.01516192e+28 1.01415823e+30]\n",
      "[6.28919941e+27 6.28267620e+29]\n",
      "[3.91547824e+27 3.91121994e+29]\n",
      "[2.44946494e+27 2.44667305e+29]\n",
      "[1.53965290e+27 1.53781459e+29]\n",
      "[9.72318307e+26 9.71102761e+28]\n",
      "[6.16875652e+26 6.16068553e+28]\n",
      "[3.93151936e+26 3.92613841e+28]\n",
      "[2.51690904e+26 2.51330707e+28]\n",
      "[1.61841617e+26 1.61599544e+28]\n",
      "[1.04520220e+26 1.04356896e+28]\n",
      "[6.77907182e+25 6.76800991e+27]\n",
      "[4.41542886e+25 4.40790815e+27]\n",
      "[2.88789727e+25 2.88276495e+27]\n",
      "[1.89657816e+25 1.89306280e+27]\n",
      "[1.25058834e+25 1.24817174e+27]\n",
      "[8.27918502e+24 8.26251259e+26]\n",
      "[5.50257302e+24 5.49102980e+26]\n",
      "[3.67134293e+24 3.66332306e+26]\n",
      "[2.45890279e+24 2.45331165e+26]\n",
      "[1.65307223e+24 1.64916109e+26]\n",
      "[1.11545896e+24 1.11271387e+26]\n",
      "[7.55447554e+23 7.53514510e+25]\n",
      "[5.13478263e+23 5.12112622e+25]\n",
      "[3.50255775e+23 3.49287893e+25]\n",
      "[2.39757892e+23 2.39069747e+25]\n",
      "[1.64688830e+23 1.64198044e+25]\n",
      "[1.13511178e+23 1.13160071e+25]\n",
      "[7.85012144e+22 7.82492709e+24]\n",
      "[5.44700459e+22 5.42887171e+24]\n",
      "[3.79195735e+22 3.77886817e+24]\n",
      "[2.64834490e+22 2.63886894e+24]\n",
      "[1.85554905e+22 1.84866913e+24]\n",
      "[1.30418396e+22 1.29917469e+24]\n",
      "[9.19508692e+21 9.15851215e+23]\n",
      "[6.50288029e+21 6.47610163e+23]\n",
      "[4.61287076e+21 4.59321090e+23]\n",
      "[3.28197598e+21 3.26750356e+23]\n",
      "[2.34197018e+21 2.33128811e+23]\n",
      "[1.67607225e+21 1.66816711e+23]\n",
      "[1.20296602e+21 1.19710076e+23]\n",
      "[8.65859365e+20 8.61496451e+22]\n",
      "[6.24969920e+20 6.21716338e+22]\n",
      "[4.52348636e+20 4.49916267e+22]\n",
      "[3.28302947e+20 3.26480033e+22]\n",
      "[2.38917945e+20 2.37548456e+22]\n",
      "[1.74333428e+20 1.73302108e+22]\n",
      "[1.27542856e+20 1.26764358e+22]\n",
      "[9.35537220e+19 9.29646902e+21]\n",
      "[6.87989170e+19 6.83522083e+21]\n",
      "[5.07229018e+19 5.03833530e+21]\n",
      "[3.74899726e+19 3.72312942e+21]\n",
      "[2.77780336e+19 2.75805249e+21]\n",
      "[2.06324233e+19 2.04812869e+21]\n",
      "[1.53620287e+19 1.52461251e+21]\n",
      "[1.14652607e+19 1.13761852e+21]\n",
      "[8.57716884e+18 8.50856598e+20]\n",
      "[6.43156241e+18 6.37861582e+20]\n",
      "[4.83380971e+18 4.79286152e+20]\n",
      "[3.64125726e+18 3.60952349e+20]\n",
      "[2.74909873e+18 2.72445602e+20]\n",
      "[2.08015196e+18 2.06097742e+20]\n",
      "[1.57744530e+18 1.56249599e+20]\n",
      "[1.19882838e+18 1.18715043e+20]\n",
      "[9.13045270e+17 9.03905145e+19]\n",
      "[6.96866319e+17 6.89698820e+19]\n",
      "[5.32988652e+17 5.27357414e+19]\n",
      "[4.08495606e+17 4.04063078e+19]\n",
      "[3.13723845e+17 3.10228411e+19]\n",
      "[2.41428378e+17 2.38666885e+19]\n",
      "[1.86165771e+17 1.83980171e+19]\n",
      "[1.43837563e+17 1.42104665e+19]\n",
      "[1.11351520e+17 1.09975129e+19]\n",
      "[8.63697896e+16 8.52746508e+18]\n",
      "[6.71212634e+16 6.62484002e+18]\n",
      "[5.22614846e+16 5.15645939e+18]\n",
      "[4.07678370e+16 4.02105016e+18]\n",
      "[3.18609694e+16 3.14144977e+18]\n",
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sev7ll1+SlZXl+uPQq1cvWrduzQsvvMDx48dPO/7IkSOAc42MMWPG8N1337F69erTylX95xQQEABw2h/94cOHExwczNNPP01lZWWN9cTFxdG9e3dmzZrl1py+YMECtm7desbzcq70ej2aprlNR923b99pq0yOGTMGnU7Hk08+edp/16f+5xgQEFCrL73evXsTHR3NjBkz3LqGfvjhB7Zt28aoUaPO7Q39wbBhwzCZTPz3v/91i/Odd96hsLCw3uqpyfXXX4/dbuepp546bZ/NZqtTghAVFcWgQYN49913OXDggNu+U9+bXq8/7b/5V199tdbToE9lt9tP69qJjo4mPj7e9XOr7e+RXq9n2LBhzJkzx21sRUZGxmljw85XbWOqq+o+37U5R8K3SMuIOKMffviB7du3n7a9f//+tGrVim3btvHYY48xfvx4Ro8eDTiXku/evTt33XUXX3zxhdtx4eHhXHjhhUyYMIGcnBxefvll2rRpw8SJEwFnkjFz5kxGjhxJ586dmTBhAgkJCWRmZvLzzz8THBzMd999BzhXXvzpp58YPHgwt99+Ox07diQrK4vZs2ezfPlyQkND6d69O3q9nmeffZbCwkLMZjMXXXQR0dHRvPHGG/zlL3+hZ8+e/OlPfyIqKooDBw4wd+5cBgwYwPTp0wGYNm0ao0aN4sILL+SWW27h6NGjvPrqq3Tu3LnaP6rna9SoUbz00kuMGDGCG2+8kdzcXF577TXatGnDxo0bXeXatGnDP//5T5566ikGDhzI1VdfjdlsZtWqVcTHxzNt2jTA+SXwxhtv8O9//5s2bdoQHR1d7VgZo9HIs88+y4QJExg8eDA33HADOTk5vPLKKyQnJ/PAAw/Uy/uLiopi8uTJPPHEE4wYMYIrrriCHTt28Prrr9OnTx/+/Oc/10s9NRk8eDB//etfmTZtGuvXr+fSSy/FaDSya9cuZs+ezSuvvMK1115b69f773//y4UXXkjPnj25/fbbSUlJYd++fcydO5f169cDcPnll/Phhx8SEhJCp06dSE9PZ+HChURERNQ5/uLiYlq0aMG1115Lt27dCAwMZOHChaxatcrV8lKX36OpU6fy008/MWDAAO68807sdjvTp0+nS5curvjrQ11iqotevXqxcOFCXnrpJeLj40lJSaF9+/ZnPUfCx3htHo/waWea2suJqY02m0316dNHtWjRwm3aq1JKvfLKKwpQn3/+uVLq5JTFTz/9VE2ePFlFR0crPz8/NWrUqNOmRCql1Lp169TVV1+tIiIilNlsVklJSer6669XixYtciu3f/9+dfPNN6uoqChlNptVq1at1N13360qKipcZd5++23VqlUrpdfrT5s2+fPPP6vhw4erkJAQZbFYVOvWrdX48ePV6tWr3er56quvVMeOHZXZbFadOnVS//vf/9S4cePOe2pvTVMP33nnHdW2bVtlNptVhw4d1Hvvveea7vhH7777rurRo4cym80qLCxMDR48WC1YsMC1Pzs7W40aNUoFBQUpwDVVtaZppJ9//rnr9cLDw9VNN92kDh06VKv3VFOM1Zk+fbrq0KGDMhqNKiYmRt15551ua5mc+nq1ndpbl5jeeust1atXL+Xn56eCgoJU165d1UMPPaQOHz7sKlObqb1KKbV582Z11VVXqdDQUGWxWFT79u3VY4895tp/7NgxNWHCBBUZGakCAwPV8OHD1fbt21VSUpLbtNTaTO2tqKhQ//jHP1S3bt1UUFCQCggIUN26dat2fZfa/h4tWrRI9ejRQ5lMJtW6dWs1c+ZM9eCDDyqLxeJWrrrPbNU5ef755922V72X2bNn1zmmmn7uVX+XTp1avH37djVo0CDl5+enADVu3Lg6nSPhGzSlajESSIjztGTJEoYOHcrs2bPr9F+nEMI7xowZw5YtW6odLyVEfZMxI0II0cyVlZW5Pd+1axfz5s1zXTpAiIYmY0aEEKKZa9WqFePHj3et8/LGG29gMpl46KGHvB2aaCYkGRFCiGZuxIgRfPrpp2RnZ2M2m0lLS+Ppp5+udrE/IRqCjBkRQgghhFfJmBEhhBBCeJUkI0IIIYTwqkYxZsThcHD48GGCgoLO6WqkQgghhPA8pRTFxcXEx8efdnXxUzWKZOTw4cOnXRFSCCGEEI3DwYMHadGiRY37G0UyEhQUBDjfzNkuGy2EEEII31BUVERiYqLre7wmjSIZqeqaCQ4OlmRECCGEaGTONsRCBrAKIYQQwqskGRFCCCGEV0kyIoQQQgivahRjRoQQQoj6YLfbqays9HYYTYbRaESv15/360gyIoQQoslTSpGdnU1BQYG3Q2lyQkNDiY2NPa91wCQZEUII0eRVJSLR0dH4+/vLApr1QClFaWkpubm5AMTFxZ3za0kyIoQQokmz2+2uRCQiIsLb4TQpfn5+AOTm5hIdHX3OXTYygFUIIUSTVjVGxN/f38uRNE1V5/V8xuJIMiKEEKJZkK6ZhlEf51WSESGEEEJ4VZ2TkaVLlzJ69Gji4+PRNI05c+ac9ZglS5bQs2dPzGYzbdq04f333z+HUIUQQgjRFNU5GSkpKaFbt2689tprtSq/d+9eRo0axdChQ1m/fj33338/t912Gz/++GOdgxVCCCFE3ZWXlzN+/Hi6du2KwWBgzJgx1ZbzVuNBnWfTjBw5kpEjR9a6/IwZM0hJSeHFF18EoGPHjixfvpz//Oc/DB8+vK7V16udB9ZTUV6CptOh0zR0Oh0aOnQ6HTpNh6bTnNs1PTpNj6aBTq+h1/QnymrodM79aBqapgOc99qpz9HgRHk0DQ0d2om6XMdpzpJUHaFprnshhBDifNjtdvz8/Pjb3/7GV199VW2ZqsaDO+64g48//phFixZx2223ERcX1+Df1w0+tTc9PZ1hw4a5bRs+fDj3339/jcdUVFRQUVHhel5UVNQgsU2eP46dZkeDvHZ90iuFDtChYVCceAx6TUOPhh7QO1Mc9NqJezT0mjOp0p+46TT9yXudHoNmwKgzYNIbMepMGPVGDDoTRr0Jo96MyeiH0XDiZgrAaPTHaPTHpDdj1BmdN70Rg86An8EPs96MxWDBT++H2WDGordgMVjQaTI0SQgh6mrIkCGkpqZisViYOXMmJpOJO+64g6lTp9b5tQICAnjjjTcA+PXXX6td/M2bjQcNnoxkZ2cTExPjti0mJoaioiLKyspcc5RPNW3aNJ544omGDg09GmaHQp14rjRcj8H5uOrm3O+dVgq7pmE/8bjCLYRTo6vGWXZ7iknTY9GZsJxIViwGPyxGfywGfyxGPyx6C4GmQAKMAQQYAwg0BuJv9CfQ6L7t1MdGvdHbb0sI0UgppSirtJ+9YAPwM+rr1OI9a9YsJk2axMqVK0lPT2f8+PEMGDCASy65hJEjR7Js2bIaj01KSmLLli21rutcGg/qi08uejZ58mQmTZrkel5UVERiYmK91/PF7etP26aUQilwKIXjxD2ceO5QOJQDh92BQ9lPPLefeO7AoRR2hx2b3Y7VZqfS5nA+ttuw2R1U2h1UVj222bDbFZV2O5V2O1ZbJdbKSiqtVioqrVgrbVRWWrFWWrHarFRWWqm0W6m0Oe8rrFZsdhs6zYaGHZ3mQIcdTbOjx45OZ0dPJQbNhh4bes2GXrOjx4ZOs2PU2THpHRj1dvR6BzqdA03nQGl2lObAgR2bslHpsFGpbFiVA5umUQlUatqJG1g1DaumUaFplLtuOqy6k79sVmXHai+jyF4G1vr52Zl0JgJNgQSbggkxhxBiDiHUHOr2PMR0ynazc3uQMUi6voRo5soq7XR63DvjFrc+ORx/U+2/elNTU5kyZQoAbdu2Zfr06SxatIhLLrmEmTNnUlZWVuOxRmPd/mk7l8aD+tLgyUhsbCw5OTlu23JycggODq7xjZnNZsxmc0OHVi3nWA9nl4ivs9kdFJfbKCyrpKi8kqKyUx9Xcqy0kvzjFeQdryC/xEpecQV5x61Y7bXrmrIYdcSH+JEU4U9yuIU2YXpSgiEpGGIsdgz2crCWQGUpWEuhssR5X1GMvayAiopjlJcXUlFRSJm1mPKK41TYSiirLKFc2Sk/kcSU6jRKNB0lOo0SnY4SnY7jWtXjE/cn9pfpnF0+VoeVo+VHOVp+tE7nzKgzEuEXQaQlkgi/COfN4ryP9It0PY7yiyLQFFjnn4kQQtSn1NRUt+dxcXGu5dcTEhK8EVKDaPBkJC0tjXnz5rltW7BgAWlpaQ1ddZNn0OsICzARFmCq9TFKKYorbK7EJLe4nOzCcjILysgqKOdwYRmHC8rJO15BeaWDPXkl7MkrOb1unUZiuD8pkYG0i4mjfWwg7eKCaB0ViMWoRw/4n7hVq7IcKoqgvBDKCqDsKJTmn7yV5EHpH7aVHcOGciUvxTodhXodRTodhSceF+h0FOr0FOl1FBpMFBhNzuc4KMNOpaOS7JJsskuyz3quAo2BxAbEEhMQQ1xAHLH+scQGxDofn9hu1nsnaRZCnDs/o56tT3pnAoWfsW7Lpf+xdUPTNBwO5z+U9d1Ncy6NB/WlzsnI8ePHycjIcD3fu3cv69evJzw8nJYtWzJ58mQyMzP54IMPALjjjjuYPn06Dz30ELfccguLFy/miy++YO7cufX3LkStaZpGsMVIsMVIq6iay1XY7M4k5VgZ+/JL2Zdfwr68Evbll7A/v5QKm4O9eSXszSth8fZc13E6DZIjA2gfE0T72CC6JoTQtUUI0UEW9wqMFuctMLr2wTvsGMqOEXw8l+Dj2cQVZ0PV7fgpjwuywV5x2uHlmsZRvY48vZ58vZ48cwD5/qHkW4LIN5nJ12nkqUryK49TYivleOVxMgoyyCjIqCYYp2i/aBKDE2kZ1JKWwS1d94lBiQQYA2r/3oQQHqNpWp26SnxVfXfTeLPxoM4/jdWrVzN06FDX86qxHePGjeP9998nKyuLAwcOuPanpKQwd+5cHnjgAV555RVatGjBzJkzvT6tV5yZ2aAnKSKApIgA+rdx3+dwKLKLytmXV8LuI8fZkVPMzuzjbM8uoqjcxp4jJew5UsIPm0+2PsQGW0htEUJqixC6tgila0II4XVo0QFAp4eASOctplPN5ZSC8gIoyoLCg1BwAAoOYCk4QHzhQeILDkDJESgtg2N51b5EqSWY7IgksoNjyfYPJdviT5ZOI9tWQnZpDtkl2ZTby8ktyyW3LJc1OWtOe40ISwRJwUm0Dm1N69DWtA1tS5uwNoRbwuv2voUQohp17abZunUrVquVo0ePUlxczPr16wHo3r074N3GA00p5QPzLc6sqKiIkJAQCgsLCQ4O9nY4ogZKKXKLK9iRXczOnGK2Hi5iU2YhGUeOU92nrFVkAH2Sw+mTEk7f5HASw/08N7jUWgqFh5yJytE9kJ9x8lZwgBqnIRn8ILoDKroTBZGtORQUyQGThQPWoxwoOsCB4gMcLDrIsYpjNVYdbgmnTWgb2oS2oUN4B7pEdiElJAWDrvH/pyaELyovL2fv3r2kpKRgsVjOfoCPGDJkCN27d+fll192bRszZgyhoaHntBhZcnIy+/fvP237qWnAkiVLeOCBB9i6dSstWrTgscceY/z48Wd83TOd39p+f0syIhrc8QobWw8XsfFQARsPFbIps5C91YxDiQk20yc5nH4p4QxoE0lKZIB3Zr5UlsOxfSeSk12QtwtytsCR7WArr/6Y0CRI6AnxPSGhF0URrThYcZS9RXvZXbDb2d1zLINDxw9Ve7ifwY8O4R3oHNGZThGd6BzZmZTgFJn5I0Q9aKzJSGMhyYhotApKrazZf4zf9x3l971H2XSoEJvD/aPYIsyPgW2jGNQ2kv6tIwnx9/LaIg47HN0LuVucyUnOFsjd6mxZ+SNNB5HtIaEXJKVBUn8IS6HUVsaewj1kFGSw89hOtuVvY2v+Vkptpae9RJg5jJ4xPekZ3ZNesb1oH9ZeWk+EOAeSjDQsSUZEk1FmtbPu4DFW7T1G+p481uw/RqX95EdTp0H3xFCGto/m0s6xtIsJ9J1Wg/JCOLweMtfA4bWQuQ6KqmkBCYp3JiVJ/SFpAES1B03DoRzsK9rHlrwtbM3fypZ8533FHwbh+hv86RHTg/5x/RmQMIBWIa185xwI4cMkGWlYkoyIJqvUamPlnqMs3XWEZbvyyMg97rY/KcKfSzrGcGnnWHolhaHX+diXcnGOMzE5+DvsX+FMVByV7mUCY6HNxc5bq6Hgf3Jga6W9ki35W1iTs4a1uWtZl7OO4spit8NjA2IZED+AAQkDSItLk3VRhKiBJCMNS5IR0WxkFpSxdOcRFm7NYVlGHlbbyYXbwgNMjOgSy5Xd4umTHI7O1xITgMoyOLTamZjsXw4HV4Ht1Cl5mrNLp83F0P4yiOsGp7R62B12MgoyWJm1kl8P/8rq7NVYHSeXszXpTPSP78+wpGEMSRxCiDnEg29OCN8myUjDkmRENEslFTaW7TrCT1tyWLQ9l8Kyky0OcSEWRneL54pu8XSOD/bdbgxbBRxIh4yFkLHIOfbkVCEtoeNo5y2xH+jcLzZYZitjTc4afs38lWWZy9hfdHKEvEEz0DeuL5elXMYlSZfgb6xx6TkhmgVJRhqWJCOi2au0O1i55yjfbsjkh83ZFJfbXPtaRQVwXa9ErumVcPqia76mMBN2L4ZdPzqTk8pTBrQGxjiTktQ/QYvebi0m4JyWl1GQwYL9C1iwf4HbIm1+Bj8uTbqUK9tcSa+YXnIFZdEsSTLSsCQZEeIUFTY7S3Yc4dv1h1m4LYeKE105Bp3GxR2j+VOflgxqF+V740v+yFrqTEy2fQc7foCKwpP7wltDtz9B6vUQllzt4fsK9/Hjvh/5dve3HCg+uQBhQmACN3S4gTFtxkg3jmhWJBlpWJKMCFGD4xU25m3M4rNVB1h7oMC1PS7Ewtg+idzUL4mooEZwXRmbFfYthY2zYdu37i0myQOh9y3Q4XIwnL6arVKK9UfW803GN/y470eOVzoHAfsZ/BjVahQ3driRtmFtPfVOhPAaSUYaliQjQtTCzpxiPvv9IP9bd4iCUuf4EpNex+hu8UwYkEyXhEbSSlBx3NlasvEz2PMLrlViA2Og5zjoNR5Cql8eusxWxrw98/hk+yfsPLbTtX1o4lD+mvpXOkd2bvj4hfASSUYaliQjQtRBhc3O/M3ZvL9iH+tOaS3pmxLOLQNSuLRTjG/OxKlO4SFY+wGseR+On7jKpqaHzlfBhfdDbNdqD1NKsSZnDZ9s/4SF+xeiTiQ0AxIG8NfUv9Ijuodn4hfCgyQZaViSjAhxjtYeOMZ7v+7jh01ZrpVf20QHcvfQ1oxOjcegbyQDPe2VsP17WPUO7DvlUuKtL4YLH4DkC08b8Fplb+FeZm6aydw9c7ErOwBDEocwqdckUkJSPBG9EB4hyYi7jIwMevTogV6vp6CgwG3f7Nmzeeyxx9i3bx9t27bl2Wef5bLLLjvj60kyIsR5yios48P0/Xz4237XTJyW4f7cNaQ1V/dsgcnQSJISgKyN8OsrsOV/oE6sw9KiL1z8GKQMqvGwg0UHmbl5Jt9kfINd2dFreq5rdx13dr9TrjAsmgRJRk6qrKykf//+REVFsWLFCrdkZMWKFQwaNIhp06Zx+eWX88knn/Dss8+ydu1aunTpUuNrSjIiRD0pKq/kw/T9vLN8L0dLnIuJxYdYuG9YW67p2aLxtJSA8/o56dNh3UcnL+zXaqgzKUnoVeNhewr28J81/2HJoSUABJuCmdRrEle1vUqmBItGrbEmI0OGDCE1NRWLxcLMmTMxmUzccccdTJ069Zxf8+GHH+bw4cNcfPHF3H///W7JyNixYykpKeH77793bbvgggvo3r07M2bMqPE16yMZkb8wQgDBFiN3D23D8oeH8tjlnYgJNnO4sJyHv9rE8JeXMn9zFo0gb3cKT4FRL8J9G6Hv7aAzwp6f4e2L4PO/wLHTLyEO0Cq0Fa9e/CrvDn+XDuEdKLIWMTV9KhPmT2BPQTUXAxSisVIKrCXeudXx78isWbMICAhg5cqVPPfcczz55JMsWLAAgJEjRxIYGFjjrXNn94HpixcvZvbs2bz22mvV1pWens6wYcPctg0fPpz09PQ6xXwu5BKgQpzC32Tg1gtTuKlfSz76bT+v/ZzB7iMl3PHRWrolhvLIiA6ktY7wdpi1ExQDlz0PaXfDkmdgw2fO6cG7fnKOJxlwHxj9TjusT2wfPh31KZ9s+4Tp66ezNnct13x3Dfd0v4fxncej1+m98GaEqEeVpfB0vHfqfvQwmAJqXTw1NZUpU6YA0LZtW6ZPn86iRYu45JJLmDlzJmVlZTUeazSevNJ5fn4+48eP56OPPqqxhSI7O5uYmBi3bTExMWRnZ9c63nMlLSNCVMNi1HPbwFYsfWgof7uoDf4mPRsOFnDD279xx4drOHi09Owv4ivCkuGqGXDnCufaJLZyWDINXusL2+dWe4hBZ+Dmzjcz58o5DG4xGJvDxstrX+a2n24ju6Th/zAJIZxSU1PdnsfFxZGbmwtAQkICbdq0qfGWlJTkOm7ixInceOONDBpU8/gxb5KWESHOIMhiZNKl7flLWjL/XbSLT34/wPwt2fy8I5c7BrfmziGtsRgbSUtBTCcY9x1s+Rp++hcUHIDPboTOVztbUAIiTzskPjCeVy96lW92f8PTK59mdc5qrv72ap7s/yTDkoZVU4kQjYDR39lC4a2661L8lNYNAE3TcDicA9RHjhzJsmXLqjsMgKSkJLZs2QI4u2i+/fZbXnjhBcA5zd/hcGAwGHjrrbe45ZZbiI2NJScnx+01cnJyiI2NrVPM50KSESFqISrIzFNjunDTBS154tutpO/J55VFu/hyzSGmjO7EpZ0b/pe1XmgadLka2g2Hpc/Dr/91zr7Zu9Q5zqTzmGoO0RjTZgw9o3vyyLJH2JS3iQeWPMDErhO5u/vd0m0jGh9Nq1NXia+qSzdNeno6drvd9fybb77h2WefZcWKFSQkOBdLTEtLY9GiRdx///2ucgsWLCAtLa3+g/8DSUaEqIMOscF8MrEf8zZl839zt5JZUMbtH65hVGocU0d3bhxLzIPzD/GwqdDpSphzN+RugdnjYNu1cPl/wHJ6n3LL4JbMGjmL/6z5Dx9u/ZC3N73NtqPbeHbQswSbZJabEJ5WlUTURseOHd2er169Gp1O5zZl97777mPw4MG8+OKLjBo1is8++4zVq1fz1ltv1VvMNZExI0LUkaZpjEqNY9GDQ7hzSGv0Oo25G7MY9tIvfLXmUOOZdQMQ3wNuXwKDHnKu4Lr5S3hrMBxeX21xo87IQ30eYtrAaZj1ZpZnLuemuTdx+LiXmryFEPWmf//+fPLJJ7z11lt069aNL7/8kjlz5pxxjZH6IuuMCHGeNmcW8vBXG9lyuAiAQe2ieO6aVGJDGs96BgAc/B2+vAUKD4LeBJf+H/SdWOMKrtvyt3Hv4nvJKc0hyi+KN4a9Qfvw9h4OWoiza6zrjDQWss6IED6gS0II39w9gIdHdMBs0LF05xGGv7yUHzZleTu0uknsC39d6rwKsN0KP/wDvr4DKsurLd4xoiMfXfYRbULbcKTsCOPnj2d19moPBy2EaAokGRGiHhj0Ou4c0pp59w0ktUUIhWWV3PnxWh76cgMlFTZvh1d7/uEw9iMY8Yyz22bjZzDrcijOqbZ4bEAss0bOoldML45XHueuRXexKnuVh4MWQjR2kowIUY9aRwXy1Z39uXtoazQNvlh9iMv+u4zNmYXeDq32NA0uuBP+8j+whMKhVfD2UMjeVG3xYFMwb17yJgPiB1BmK+PuRXdLQiKEqBNJRoSoZ0a9jn8M78CnEy8gPsTC/vxSrnljBV+sPujt0Oqm1RCYuBgi2kJRJrw3CvavqLaoWW/mlYteYUDCyYRkfe56j4YrhGi8JBkRooFc0CqCH+4bxEUdoqmwOXjoy41M/t9GyivtZz/YV0S0htsWQsv+UFEIH14FO36otqhZb+aVoScTknsW38OeQrmmjRDi7CQZEaIBhfgbmXlzbx68pB2aBp/+fpDrZqRzuKDmhYp8jl+os8um3UjnUvKf3QQbv6i2qFlv5qXBL9E1siuFFYXcseAOcktzPRuvEKLRkWREiAam02nce3FbZk3oS5i/kU2ZhVz52q9sPFTg7dBqz+gHYz+EbjeAssPXf4XNX1Vb1N/oz2sXv0ZycDJZJVnctfAuSisb0bV8hBAeJ8mIEB4yqF0U3917Ie1jgjhSXMH1b6Yzf3Mjuuic3ghXvg49bwblgK8mwtZvqy0aZgnjjWFvEGGJYMexHTy+4vHGtRicEMKjJBkRwoNahPnz5Z1pDG4XRXmlgzs/XsNbS3d7O6za0+ng8leg243OFpIvJ9Q4hqRFUAteGvISBs3Aj/t+5N3N73o4WCFEYyHJiBAeFmQx8s643tycloRS8PS87Uz7YVvjaTnQ6eDK6dD1OnDYYPZ4OLCy2qI9Y3rySN9HAHhl7Sv8mvmrBwMVQjQWkowI4QUGvY4nr+zCo5d1AODNX/bw6NebsDsaS0KihzEzoN0I56DWT8dC3q5qi17f/nquaXsNCsWjyx8lryzPw8EKIaZOnYqmaafdAgLcr148e/ZsOnTogMVioWvXrsybN88j8UkyIoQX3T6oNc9e0xXdiZk2f/t0HVabw9th1Y7eANe+C/E9oewYfHQNHD995oymaUzuN5m2YW05Wn6Uf/36LxyqkbxHIZqIv//972RlZbndOnXqxHXXXecqs2LFCm644QZuvfVW1q1bx5gxYxgzZgybN29u8PgkGRHCy8b2acn0G3ti1GvM3ZTFXR+vaTwJiSkAbvwCwpKhYD98/hewWU8rZtabeXbgs5h0Jn7N/JVPt3/q+ViFaGSGDBnC3/72Nx566CHCw8OJjY1l6tSp5/RagYGBxMbGum45OTls3bqVW2+91VXmlVdeYcSIEfzjH/+gY8eOPPXUU/Ts2ZPp06fX0zuqmSQjQviAy7rG8c64PpgNOhZuy+XeT9dSaW8kCUlgFNz0FZhD4OBvMP+Raou1DWvLg70fBOCl1S+x61j13TpCNDSlFKWVpV651XVs2KxZswgICGDlypU899xzPPnkkyxYsACAkSNHEhgYWOOtc+fONb7uzJkzadeuHQMHDnRtS09PZ9iwYW7lhg8fTnp6ep1iPheGBq9BCFErg9pF8fbNvblt1mp+3JLDA5+v5+Wx3THoG8H/DJFt4Jq34ZOxsPodiO/unAL8Bzd0uIHlmctZlrmMqSum8sHID9Dr9J6PVzRrZbYy+n3Szyt1r7xxJf5G/1qXT01NZcqUKQC0bduW6dOns2jRIi655BJmzpxJWVnNCygajcZqt5eXl/Pxxx/zyCPu/zhkZ2cTExPjti0mJobs7IZfgqAR/JUTovkY1C6KGX9xdtl8vzGLf3y5EUdjGdTabjgMfdT5eO6DcHjdaUU0TWNK2hQCjYFszNso3TVCnEVqaqrb87i4OHJznWOzEhISaNOmTY23pKSkal/z66+/pri4mHHjxjV4/LUlLSNC+JiLOsTw2o09uevjtXy9LpMQPyNTRndC0zRvh3Z2A/8Oh9fDjrnw5a3w16VgDnQrEhMQwwO9HuCp357iv+v+y9CWQ0kITPBOvKJZ8jP4sfLG6qeje6Luuvhj64amaTgczi7ckSNHsmzZshqPTUpKYsuWLadtnzlzJpdffvlprSBVY0lOlZOTQ2xsbJ1iPheSjAjhgy7tHMuL13fjvs/W8/6KfcSHWrh9UGtvh3V2VWuQzFgPR3fDDw/BmNdPK3Ztu2uZu2cua3PX8szKZ3j14lc9H6totjRNq1NXia86l26avXv38vPPP/Ptt6evnpyWlsaiRYu4//77XdsWLFhAWlpavcR7JpKMCOGjruyeQG5RBf83bxtPz9tOTLCFK7s3ghYE/3C4+i2YNRrWfwytL4Ku17oV0Wk6pqRN4Zpvr2HJoSX8mvkrAxIGeClgIRqnhIS6/z149913iYuLY+TIkaftu++++xg8eDAvvvgio0aN4rPPPmP16tW89dZb9RHuGcmYESF82G0DU7hlQAoAf5+9gd/25Hs5olpKvtDZZQPw/SQoOnxakVahrfhThz8B8Nyq56h0VHoyQiGaHYfDwfvvv8/48ePR608fON6/f38++eQT3nrrLbp168aXX37JnDlz6NKlS4PHpqlGsAZ1UVERISEhFBYWEhwc7O1whPAoh0Nx76frmLspi/AAE9/eM4AWYY2gidlug3cvhcw1zpVab/gM/jDupchaxOX/u5xjFcd4uM/D/LnTn70UrGjKysvL2bt3LykpKVgsFm+H0+Sc6fzW9vtbWkaE8HE6ncYL13WjS0IwR0us3P7BGkqtNm+HdXZ6A1z5GuiMsHM+bPrytCLBpmDu7XkvAK9veJ0ia5GnoxRC+ABJRoRoBPxMet78S28iAkxszSrioS83No4L60V3hMEPOR//8BAcP3JakavbXE3rkNYUW4t5f/P7no1PCOETJBkRopFICPXjjT/3wqBzrkHy9rI93g6pdi58AGK6QNlR+HHyabv1Oj339nC2jny07SO5kJ4QzZAkI0I0In1Twpl6hXOJ5+fm72DtgWNejqgW9Ea44lVAg02zYd+vpxW5qOVFdInoQpmtjJmbZno+RiGEV0kyIkQjc1O/llyeGofNobj3k3UUljaCWSgJPaHXidUef3jIObj1FJqm8beefwPgix1fkF3S8MtPi+anUXRtNkL1cV4lGRGikdE0jWlXd6VluD+ZBWU8/FUjGT9y0eNgCYWczbDmvdN2p8Wn0TumN5WOSmZtmeX5+ESTVbX4V2lpqZcjaZqqzmtN18KpDZnaK0QjtfFQAde8sYJKu+KpKzvzl7Rkb4d0dr+/DfP+7kxK7l0LARFuu1dkruCvC/+Kn8GPH6/5kTBLmHfiFE1OVlYWBQUFREdH4+/v3zgur+DjlFKUlpaSm5tLaGgocXFxp5Wp7fe3rMAqRCOV2iKUh0d04N9zt/F/87YxsG0UyZEB3g7rzHpNgDWzIGcTLHsBRkxz250Wn0bH8I5sO7qNj7d9zD097vFSoKKpqbq+StVF5kT9CQ0NPe/r10jLiBCNmMOh+PM7K1mxO5/eSWF8/tc09Dof/49v98/w4RjQm+DeNRDa0m33gv0LmLRkEkGmIBZcu4AAo48nWKJRsdvtVFY2gnFWjYTRaKx2Ndcq0jIiRDOg02k8e00qI15eyur9x3h3+V4mDmrl7bDOrPVQSBkEe5fCkmdOu5DexS0vJjk4mX1F+/hy55eM6+w7lzkXjZ9erz/jl6fwDhnAKkQjlxjuz78u7wTA8z/tICP3uJcjqoWLpzrvN3wKudvcduk0HTd3vhmAz7Z/ht1h93BwQghPk2REiCbgT30SGdwuCqvNwT+/3uT7s2ta9IKOo0E5YNFTp+0elTKKYFMwh44fYlnmMi8EKITwJElGhGgCNE3j32O6YDHqWLn3KF+tzfR2SGd30WOg6WDHXDi8zm2Xv9Gfa9peA8An2z7xRnRCCA+SZESIJiIx3J/7h7UD4Ol52zhWYvVyRGcR1R66XOt8vOyl03aP7TAWnaYjPSud3QW7PRycEMKTzikZee2110hOTsZisdCvXz9+//33M5Z/+eWXad++PX5+fiQmJvLAAw9QXl5+TgELIWp264UptI8J4miJlWk/bDv7Ad524QPO+23fwZEdbrsSAhMY0mIIAJ9u/9TDgQkhPKnOycjnn3/OpEmTmDJlCmvXrqVbt24MHz68xrnbn3zyCY888ghTpkxh27ZtvPPOO3z++ec8+uij5x28EMKdUa/j6au7APDF6kO+f+2amE7Q4XJAwfL/nLb7Tx3+BMC8PfMot8k/MEI0VXVORl566SUmTpzIhAkT6NSpEzNmzMDf359333232vIrVqxgwIAB3HjjjSQnJ3PppZdyww03nLU1RQhxbnolhXNtrxYAPPX9Vt8fzDpwkvN+4xdwbL/brn5x/UgITKC4spgF+xd4ITghhCfUKRmxWq2sWbOGYcOGnXwBnY5hw4aRnp5e7TH9+/dnzZo1ruRjz549zJs3j8suu6zGeioqKigqKnK7CSFq7x/D2+Nv0rPuQAHfbjjs7XDOLKEXtBoKyg6/vuK2S6fpuLLNlQB8nfG1N6ITQnhAnZKRvLw87HY7MTExbttjYmLIzq7+Kps33ngjTz75JBdeeCFGo5HWrVszZMiQM3bTTJs2jZCQENctMTGxLmEK0ezFBFu4a0hrAJ79YTtlVh9fq6OqdWT9J1B61G3XmNZj0NBYlb2Kg0UHvRCcEKKhNfhsmiVLlvD000/z+uuvs3btWv73v/8xd+5cnnrq9LUFqkyePJnCwkLX7eBB+QMkRF3dNrAVCaF+HC4s5+1le7wdzpklD4SYrmArg7XuV+yNC4yjf3x/QFpHhGiq6pSMREZGotfrycnJcduek5NT40VyHnvsMf7yl79w22230bVrV6666iqefvpppk2bhsPhqPYYs9lMcHCw200IUTcWo56HR3YA4M1fdnPUl6f6ahpccIfz8e8zwW5z231V26sA+CbjG1mRVYgmqE7JiMlkolevXixatMi1zeFwsGjRItLS0qo9prS0FJ3OvZqq6wL4/MA6IRq50alxdEkIpsRq540lGd4O58y6XAv+kVB0CLZ/57ZraOJQgkxB5JblsiZnjZcCFEI0lDp300yaNIm3336bWbNmsW3bNu68805KSkqYMGECADfffDOTJ092lR89ejRvvPEGn332GXv37mXBggU89thjjB49Wi5WJEQD0zSNv1/aHoBZ6fvJLvTh6bFGC/R2/h3htxluu0x6E5ckXQLAvL3zPB2ZEKKB1TkZGTt2LC+88AKPP/443bt3Z/369cyfP981qPXAgQNkZWW5yv/rX//iwQcf5F//+hedOnXi1ltvZfjw4bz55pv19y6EEDUa3C6KvsnhWG0OXl28y9vhnFnvW0FngIO/QfZmt12XpThn4C3Yv4BKu1wCXoimRFONoK+kqKiIkJAQCgsLZfyIEOfg971Huf7NdAw6jUUPDiYpIsDbIdXsi5th6zfQ93a47HnXZrvDziVfXsKRsiO8etGrDEkc4r0YhRC1Utvvb7k2jRDNQN+UcAa3i8LmUExf7ONjR3qOc95v+Byspa7Nep2e4cnDAeeKrEKIpkOSESGaifuHtQXg63WZHDpWepbSXtRqKIS2hIpC2DrHbdeoVqMAWHJoCaWVPvwehBB1IsmIEM1Ej5ZhDGgTgc2heGupD687otOdbB1Z477mSOeIziQGJVJmK2NZ5jIvBCeEaAiSjAjRjNw9pA0An606SG6xD8+s6fFn0PTOgay5J68+rGkaw1o6L0ex6MCimo4WQjQykowI0YyktY6gR8tQrDYH7yzf6+1wahYUC+2c40PY8KnbrotaXgTAskPLZFaNEE2EJCNCNCOaprlaRz5K309hqQ9/mXf7k/N+42w4ZdXV1KhUovyiOF55nJXZK70UnBCiPkkyIkQzc3HHaDrEBlFitfPJ7we8HU7N2o0ASwgUH4Z9J8eH6DSdq3Vk4f6F3opOCFGPJBkRopnRNI1bL0wBYNaKfVTaq79GlNcZzND5aufjDZ+57apKRn4++LNcq0aIJkCSESGaoSu6xxMZaCa7qJwfNmd7O5yaVXXVbP0WrCWuzX1i+xBkCuJo+VHWH1nvndiEEPVGkhEhmiGzQc9fLkgC4J3le333opWJ/SAsGSpLYPtc12ajzsjgFoMB+OXgL14KTghRXyQZEaKZuumClpgMOjYcLGDtgWPeDqd6mgapY52PN3/ltqsqGZH1RoRo/CQZEaKZigw0M6Z7PIBvT/PtfJXzPmMRlBW4NqfFp6HTdGQUZHD4+GHvxCaEqBeSjAjRjN1yYiDrj1tyyC700UXQojtCVAdwVMKOH1ybQ8whdI/qDsDyzOVeCk4IUR8kGRGiGesQG0zflHDsDsXnqw56O5yaVbWObPnabfOFCRcCzgXQhBCNlyQjQjRzN/VrCcBnqw5g89Vpvp3GOO93L3brqhnYYiAAK7NXUmGv8HxcQoh6IcmIEM3ciC6xhAeYyCosZ/H2XG+HU73oDhDV8URXzTzX5vZh7Ynyi6LMVsaa7DVeDFAIcT4kGRGimTMb9FzXuwUAH6/04RVZO49x3m+Z49qkaZqrdURm1QjReEkyIoTgpr7ONUeW7jrCgfxSL0dTg05XOu/3LIGK467NVeNG0g+neyEoIUR9kGRECEHLCH8GtYtCKfh0lY+2jkR1gLAUsFfAnp9dm/vG9kVDY3fhbnJLfbSbSQhxRpKMCCEAuLFvIgBfrTnkmwNZNQ3aX+Z8/Icpvp0iOgGwMkuu4itEYyTJiBACgIs6xBAeYCK3uIJlGXneDqd67Uc673fOh1MukNcvrh8Av2X95o2ohBDnSZIRIQQAJoOOK0+syPrl6kNejqYGLS8ASyiU5sOhVa7NF8RdADiTEZ+9zo4QokaSjAghXK7t5ZxVs2BrDgWlVi9HUw29Edpe6nx8yhTfHtE9MOlM5Jbmsq9on3diE0KcM0lGhBAuneND6BQXjNXu4NsNPnq9l6qumlPGjVgMFnpE9wCkq0aIxkiSESGEm6rWkdm+2lXT5mLQGSFvJ+RluDZfEH+iq+awJCNCNDaSjAgh3IzpkYBRr7Eps5Dt2UXeDud0lhBIdq4tws6TrSP9Yp2DWFflrMJ+yuBWIYTvk2RECOEmPMDERR2iAZizzke7atoNd95nLHRt6hjREX+DP8XWYjIKMmo4UAjhiyQZEUKc5sruCQB8t+EwDocPzk5pfbHzfn86WJ0rxhp0Bte4kdU5q70VmRDiHEgyIoQ4zUUdogk0G8gsKGPtgWPeDud0kW0hJNG5Guv+X12be8X0AmBNjlw0T4jGRJIRIcRpLEY9l3aOAfDNWTWaBq0vcj7OWOTa3DOmJwBrc9bKeiNCNCKSjAghqnVFN+cCaHM3Zvnm8vBtTnTV7D6ZjHSJ7IJJZyK/PJ/9Rfu9FJgQoq4kGRFCVGtAm0jCA0zkl1j5dXe+t8M5Xcpg0PTOKb4FBwEw6810jeoKSFeNEI2JJCNCiGoZ9TpGdY0D4Nv1PthV4xcKLXo7H5/SOiLjRoRofCQZEULU6IoT16r5cUs25ZU+uHZH1ayaU8aN9IqWZESIxkaSESFEjXq1DCM+xMLxChuLt+d6O5zTVY0b2fML2G0AdIvuhl7Tc7jkMFnHs7wYnBCitiQZEULUSKfTGF01kHWTD36xx/cAvzCoKIRMZ0tIgDGAjuEdAViTK60jQjQGkowIIc5o5IlxIz9vz/W9rhqdHpIHOh/vW+raLONGhGhcJBkRQpxRtxYhxIdYKLXaWbrziLfDOV3KIOf93mWuTVUrsW44ssEbEQkh6kiSESHEGWmaxvAusQDM35zt5WiqUdUycnAl2CoASI1KBSDjWAbHrce9FZkQopYkGRFCnNXILs6umgXbcrDafGwBtKj2EBANtnI45LwmTZR/FPEB8SgUm/M3ezlAIcTZSDIihDirXklhRAWZKS63sWJ3nrfDcadpkHKidWTvyXEj3aK6AbAhV7pqhPB1kowIIc5Kr9MYfuJaNT7dVbPv5LiRqq6ajXkbvRGREKIOJBkRQtRKVVfNT1tzfO9aNVWDWA+tgsoy4GTLyMYjG+WieUL4OElGhBC10i8lnDB/I0dLrPy+76i3w3EX3gqC4sFudQ5kBTqEd8CkM1FQUcCB4gNeDlAIcSaSjAghasWg13FJJx/tqnEbN+LsqjHqjXSK6ATIFF8hfJ0kI0KIWhtxYorvwq05vtf1caZxI0dk3IgQvkySESFErfVvHYmfUc/hwnK2ZhV5Oxx3VS0jmWvAWgqcMqNGWkaE8GmSjAghas1i1DOwbSQAC7f62IXzQpOc40YcNtd1aqpaRnYe20lpZak3oxNCnIEkI0KIOhnW0TluZNH2HC9H8geaBklpzscH0gGIDYglxj8Gh3KwJX+LF4MTQpyJJCNCiDoZ2iEaTYONhwrJLiz3djjuWronI3CydWRT3iZvRCSEqAVJRoQQdRIVZKZHYijgg60jLS9w3h/8Hew2ADpHdAZgS560jAjhqyQZEULU2bATU3wXbvWxZCS6E5hDwHoccpzXpOkS2QVAummE8GGSjAgh6qxq3Mivu/Mptdq8HM0pdHpI7Ot8fOA3ADpGdAQg83gmx8qPeSsyIcQZSDIihKizttGBtAz3x2pzsGyXj104r6qr5sS4kWBTMEnBSQBszd/qraiEEGcgyYgQos40TXO1jvhcV82pg1hPLMxWNW5kc95mb0UlhDgDSUaEEOdkWMdoABZvz8Xu8KHVWBN6gd4Ex3Pg2F7glEGsMm5ECJ90TsnIa6+9RnJyMhaLhX79+vH777+fsXxBQQF33303cXFxmM1m2rVrx7x5884pYCGEb+iTEk6QxUB+iZX1Bwu8Hc5JRgvE93A+PjFuxDWIVWbUCOGT6pyMfP7550yaNIkpU6awdu1aunXrxvDhw8nNrX41RqvVyiWXXMK+ffv48ssv2bFjB2+//TYJCQnnHbwQwnuMeh2D20UBsGSHj63GWjVuZP8KwHkFX52mI7csl9xSH4tVCFH3ZOSll15i4sSJTJgwgU6dOjFjxgz8/f159913qy3/7rvvcvToUebMmcOAAQNITk5m8ODBdOvW7byDF0J415D2zq6aJTuOeDmSP0g8kYwcWg2Av9GfViGtABnEKoQvqlMyYrVaWbNmDcOGDTv5Ajodw4YNIz09vdpjvv32W9LS0rj77ruJiYmhS5cuPP3009jt9vOLXAjhdVUtI5syC8kt9qHVWFv0cd4f2Q7lhYAMYhXCl9UpGcnLy8NutxMTE+O2PSYmhuzs7GqP2bNnD19++SV2u5158+bx2GOP8eKLL/Lvf/+7xnoqKiooKipyuwkhfE9UkJmuCSEALN3pQ1N8A6MgLBlQrovmdY6UQaxC+KoGn03jcDiIjo7mrbfeolevXowdO5Z//vOfzJgxo8Zjpk2bRkhIiOuWmJjY0GEKIc7RkPY+Om6kqnXk4CoAukQ4B7Fuzd+KUj40+0cIUbdkJDIyEr1eT06O+7oCOTk5xMbGVntMXFwc7dq1Q6/Xu7Z17NiR7OxsrFZrtcdMnjyZwsJC1+3gwYN1CVMI4UFVyciyXXnY7A4vR3OKqmTkkDMZaRfeDoNm4Gj5UbJKsrwYmBDij+qUjJhMJnr16sWiRYtc2xwOB4sWLSItLa3aYwYMGEBGRgYOx8k/Ujt37iQuLg6TyVTtMWazmeDgYLebEMI3dU8MI9TfSGFZpW9N8T01GVEKs95M27C2gHTVCOFr6txNM2nSJN5++21mzZrFtm3buPPOOykpKWHChAkA3HzzzUyePNlV/s477+To0aPcd9997Ny5k7lz5/L0009z991319+7EEJ4jV6nMbBtVVeND82qiekCBguUF0B+BnDKuBFZb0QIn1LnZGTs2LG88MILPP7443Tv3p3169czf/5816DWAwcOkJV1sgk0MTGRH3/8kVWrVpGamsrf/vY37rvvPh555JH6exdCCK8aUrXeyE4fGjdiMEFcd+fjE101HcOdF83bfnS7l4ISQlTHcC4H3XPPPdxzzz3V7luyZMlp29LS0vjtt9/OpSohRCMw+MS4kc2ZReQWlxMdZPFyRCck9oGDv8HB36H7jXQI7wDAtqPbUEqhaZqXAxRCgFybRghRDyIDzaS2cE7x/cWXumpc40aci5+1C2uHXtNztPwoR8p8KE4hmjlJRoQQ9eJkV40Pfcm36Ou8z90CFcVYDBZSQlIA6aoRwpdIMiKEqBeDTywNv2znEd+Z4hscB8EtQDng8DqAk101+du8GZkQ4hSSjAgh6kX3xFBC/Y0UldtY51NTfHs7708MYq1KRqRlRAjfIcmIEKJenDrFd5kvddUknuiqOeg+o2bbUWkZEcJXSDIihKg3g9pGArB0lw9dp6ZqEGvmalCK9uHtnU+PZ1JYUejFwIQQVSQZEULUm6qWkY2HCigorf5yDx4X2xV0Big5AoWHCDGHkBCYAMCOozu8HJwQAiQZEULUo9gQC+1iAnEoWLE739vhOBn9INrZNcPhtQBu640IIbxPkhEhRL1yjRvZ5UPjRuJ7Ou8z3ZMRGcQqhG+QZEQIUa8GVo0b2ZmHUsrL0ZyQ0Mt5n7kGkGXhhfA1kowIIepVv5QITHodmQVl7M0r8XY4TgknWkayNoDD4WoZ2Vu4l3JbuRcDE0KAJCNCiHrmZ9LTJyUMgGW+MqsmqiMY/KCiCPIziPaPJtwSjl3Z2XVsl7ejE6LZk2RECFHvfG7ciN4Acd2cjw+vRdM0GcQqhA+RZEQIUe+qxo2k787HavORpeGrumpOjBuRQaxC+A5JRoQQ9a5jbDCRgSZKrHbWHTjm7XCc/jCjRgaxCuE7JBkRQtQ7nU7jwjZVq7H6SFdNVctI9iawWV0tIzuP7cTmsHkxMCGEJCNCiAZxctyIjwxiDW8FllCwV0DuVloGt8Tf4E+FvYJ9hfu8HZ0QzZokI0KIBlE1bmRTZiFHS3xgaXhNg/gezseZa9BpOtd1amQQqxDeJcmIEKJBRAdb6BAbhFLwa4aPtI5UddUclpVYhfAlkowIIRpMVeuIz0zxda3Eug44OYhVLpgnhHdJMiKEaDCnjhvxiaXhq2bUHNkG1hK3bhqfiE+IZkqSESFEg+mbEo7JoCOrsJzdR457OxwIjoOgOFAOyNpAm9A2GDQDRdYiskuyvR2dEM2WJCNCiAZjMerplxIOOC+c5xNcXTVrMelNtAptBcggViG8SZIRIUSDcl3F11fGjVTNqPnDIFYZNyKE90gyIoRoUFXjRlbuOUqFze7laDhlWXiZUSOEr5BkRAjRoDrEBhEZaKas0s7a/QXeDudky8ixvVB6VJIRIXyAJCNCiAalaRqDfGmKr1+YczVWgMPrXDNqDpccprCi0IuBCdF8STIihGhwF7qSER8ZxOoaN7KOYFMwCYEJgIwbEcJbJBkRQjS4qovmbT5cSP7xCi9Hw8n1Rg47Fz+TrhohvEuSESFEg3NbGn53vrfDkUGsQvgYSUaEEB4xqN2J1Vh3+sC4kdhU0HRQfBiKs08mI8ckGRHCGyQZEUJ4RNV6I8szfGBpeHMgRDoHrnJ4nSsZ2VOwhwq7D3QjCdHMSDIihPCIPsk+tjT8KV01Mf4xhJpDsSs7GQUZ3o1LiGZIkhEhhEf43NLwp6zEqmmaa4qvzKgRwvMkGRFCeMxAX1pv5NQZNUrRMbwjANvy5Ro1QniaJCNCCI+pWhr+N19YGj62C+iMUJoPBQdOtowck5YRITxNkhEhhMf41NLwBjPEdHY+PrzW1TKy4+gOHMrhxcCEaH4kGRFCeIymab7VVZNwsqsmKTgJs95Mqa2Ug8UHvRuXEM2MJCNCCI8a6EtLw1cNYs1ci0FnoF1YOwC2HZVxI0J4kiQjQgiP8qml4asGsWZtAIdDZtQI4SWSjAghPMqnloaP6gAGP6gogvyMkzNqpGVECI+SZEQI4XE+szS83gBxqc7Hh9dJy4gQXiLJiBDC46q6anxiaXjXeiNraRvaFg2NvLI88sp8YEyLEM2EJCNCCI/rm+JDS8Ofsiy8v9Gf5JBkQK7gK4QnSTIihPA4n1oavqplJHsj2G10CDtxBV9JRoTwGElGhBBe4TPrjYS3AnMw2MrhyDY6REgyIoSnSTIihPCKC9v4yNLwOh3Ed3c+zlzrahmRQaxCeI4kI0IIr/CppeFPGcRaNaNmf9F+SitLvRiUEM2HJCNCCK/Q6XxoafiqlVgPryPCL4Jov2gUip3Hdno3LiGaCUlGhBBe4zNLw1fNqMnZApXlrnEjsviZEJ4hyYgQwmt8Zmn4kETwjwSHDXI20z5MFj8TwpMkGRFCeI3PLA2vaW5X8O0YIcvCC+FJkowIIbzK1VXj7aXhT7mCb9WMmoxjGVQ6Kr0YlBDNgyQjQgivGtjWOcXX60vDnzKjJiEogQBjAFaHlX2F+7wXkxDNhCQjQgiv8pml4ataRo7sQGctdY0bkcXPhGh4kowIIbzKZ5aGD4qB4ARAQdYGOoTLSqxCeIokI0IIr6uaVeM7642slWRECA86p2TktddeIzk5GYvFQr9+/fj9999rddxnn32GpmmMGTPmXKoVQjRRVeNGvL40/ClX8D01GfHqWBYhmoE6JyOff/45kyZNYsqUKaxdu5Zu3boxfPhwcnNzz3jcvn37+Pvf/87AgQPPOVghRNPkM0vDn7ISa5vQNhh0BoqsRWSVZHkvJiGagTonIy+99BITJ05kwoQJdOrUiRkzZuDv78+7775b4zF2u52bbrqJJ554glatWp1XwEKIpufUpeGXerOrpioZObYXY0UxrUNaA9JVI0RDq1MyYrVaWbNmDcOGDTv5Ajodw4YNIz09vcbjnnzySaKjo7n11lvPPVIhRJPmSka8ud6IXxiEn/iH6fA6GTcihIfUKRnJy8vDbrcTExPjtj0mJobs7Oxqj1m+fDnvvPMOb7/9dq3rqaiooKioyO0mhGjaBrWLQtNgy+EicorKvRdI/MmVWCUZEcIzGnQ2TXFxMX/5y194++23iYyMrPVx06ZNIyQkxHVLTExswCiFEL4gMtBMaotQAH7Z4QNdNZKMCOExdUpGIiMj0ev15OTkuG3PyckhNjb2tPK7d+9m3759jB49GoPBgMFg4IMPPuDbb7/FYDCwe/fuauuZPHkyhYWFrtvBgwfrEqYQopEa2t45q+bnHWceEN+gTplR0z7cufBZVkkWhRWF3otJiCauTsmIyWSiV69eLFq0yLXN4XCwaNEi0tLSTivfoUMHNm3axPr16123K664gqFDh7J+/foaWzzMZjPBwcFuNyFE0ze0fTQAy3blUWl3eCeI2FTQdFB8mKCKEloEtgBga/5W78QjRDNgqOsBkyZNYty4cfTu3Zu+ffvy8ssvU1JSwoQJEwC4+eabSUhIYNq0aVgsFrp06eJ2fGhoKMBp24UQomtCCBEBJvJLrKzed4y01hGeD8IcCJHt4cg2OLyOLpFdOHT8EFvyt5AWf/o/XUKI81fnMSNjx47lhRde4PHHH6d79+6sX7+e+fPnuwa1HjhwgKwsmZMvhKg7nU5j8ImumiU+0lXTJdL5j9PmvM3ei0eIJk5TjWBpwaKiIkJCQigsLJQuGyGauO82HObeT9fRLiaQnx4Y7J0gfn8b5v0d2gxj9bDJTPhxAjH+MSy8bqF34hGikart97dcm0YI4VMGtY1Cp8HOnOMcOlbqnSBOaRnpGN4BDY2c0hzyyrx4IT8hmjBJRoQQPiXE30ivpDAAlnhrim9MV9CboewoAcU5tApxLoS2JW+Ld+IRoomTZEQI4XOGnJhV47VxIwbTyfVGDq6kc2RnADbny7gRIRqCJCNCCJ9TNcX314x8yiu9dBXfxD7O+4O/yyBWIRqYJCNCCJ/TMS6ImGDnVXx/33vUO0G06Ou8P7SKLhHOZGRL3hYawZh/IRodSUaEED5H0zRX64jXVmNNPJGM5G6lXUAcBs3AsYpjZJXI0gVC1DdJRoQQPqlq3MiibbneaY0IioWQlqAcmLM30zasLSBdNUI0BElGhBA+aWDbSEwGHQeOlrIz57h3gqhqHTm46uS4ERnEKkS9k2RECOGTAswGLmzjvNr3wm05ZyndQFzJyEpXMiLTe4Wof5KMCCF81iWdnJeZ+Gmrl5KRFidm1BxaRefwToDzgnkO5aWL+AnRREkyIoTwWRd3cI4b2XCwgJyics8HENsVDH5QXkBrm8Kit3C88jj7i/Z7PhYhmjBJRoQQPis62EL3xFDAOZDV4/RG1+JnhsNr6BjREYBNeZs8H4sQTZgkI0IIn1bVVbNga7Z3Ajhl8bPUyFQANuRu8E4sQjRRkowIIXxaVTLy6+58Sipsng/glMXPukV3A2DDEUlGhKhPkowIIXxa2+hAkiL8sdocLNvlhQvnuRY/20a3oBQAdhXsoqSyxPOxCNFESTIihPBpmqZxSUcvzqoJjIbw1oAiOm8P8QHxOJRDxo0IUY8kGRFC+LyqrprF23Ox2b0wrTYpzXm//1e6RZ3oqpFxI0LUG0lGhBA+r1dSGKH+RgpKK1m9/5jnA0ga4Lw/kC7jRoRoAJKMCCF8nkGv4+IOztaR+Zu9MKum5YmWkcy1dA/tADiTEVn8TIj6IcmIEKJRuKxrLOBMRhwOD184LywZguLBUUm70iIsegtF1iL2Fe3zbBxCNFGSjAghGoUL20YSaDaQXVTOuoMFnq1c0yCpPwDGg7/TKcK5NLyMGxGifkgyIoRoFMwGPcM6OpeHn7cpy/MBnDKItXt0d0DGjQhRXyQZEUI0GiO7xgHww6YslPJwV03VINZDq+gW4byCryQjQtQPSUaEEI3G4HZRBJj0HC4sZ8OhQs9WHtke/MKgspRuDj0Auwt2U1jh4TiEaIIkGRFCNBoWo56LTiyA9oOnu2p0OmjpHDcSkbWJ5OBkFIq1OWs9G4cQTZAkI0KIRuWyLs5ZNfM2e6OrxpmMsH8FvWN7A7A6Z7VnYxCiCZJkRAjRqAxpH42fUc/Bo2VszizybOXJJ8aN7F9B76iegCQjQtQHSUaEEI2Kn0nP0A5RAHy/6bBnK49NBUsoVBTRGzMA249up9ha7Nk4hGhiJBkRQjQ6l6fGA/D9hizPLoCm00PKQABiDm8gMSgRh3KwLned52IQogmSZEQI0ehc1CGaQLOBzIIy1hzw8LVqUgY77/f8Qu8Y57iRNTlrPBuDEE2MJCNCiEbHYtQz4sRA1jnrMj1beauhzvuDK+kdmQrIuBEhzpckI0KIRunK7s6umrmbsrDaPHjBuojWEJwAdiu9bc5NW/O2UlpZ6rkYhGhiJBkRQjRK/VtHEhlopqC0kuUZRzxXsaa5umriD28iPiAem7Kx/sh6z8UgRBMjyYgQolHS6zRGd3MuDz9nnYdn1bQ6MW5k7y8n1xvJlq4aIc6VJCNCiEbryu4JACzYmkNJhc1zFVcNYj28nt5hHQFYlb3Kc/UL0cRIMiKEaLS6tQghOcKfsko7C7fleK7i4DiIbAco+lntAGzK2yTrjQhxjiQZEUI0WpqmccWJ1pH/rfX0rJohAMQfWkdycDJ2ZZfWESHOkSQjQohG7eoezmRk2a4jZBWWea7itpc673ct4IK4CwBYcXiF5+oXogmRZEQI0aglRwbQNyUch/Jw60jyhWCwQNEh0vxbAPBb1m+eq1+IJkSSESFEo3d970QAvlh90HNX8jX6QcogAPoWZKPX9Owv2k/mcQ93FwnRBEgyIoRo9C7rGkuASc/+/FJ+33vUcxWf6KoJ3P0LqVHO1VjTD6d7rn4hmghJRoQQjZ6/ycDobs4VWb9YfchzFbcZ5rw/8BtpUT0AGTcixLmQZEQI0SRcd6KrZt6mLIrLKz1TaXiKc4qvspNmd/45XZm1EpvDg2ueCNEESDIihGgSerYMpXVUAGWVduZuzPJcxSe6aroc3k6wKZgiaxEbj2z0XP1CNAGSjAghmgRN01wDWT9ffdBzFbe9BABDxkIujL8QgF8O/eK5+oVoAiQZEUI0GVf3bIFRr7HuQAGbMws9U2nL/mAKhJJchgS0BOCXg5KMCFEXkowIIZqMqCAzI7o4L573Yfp+z1RqMLkGsvY/mole07O7cDcHiz3YOiNEIyfJiBCiSbk5LQmAbzZkUljqoYGsHUcDELLjR3pEO2fVLD201DN1C9EESDIihGhSeieF0SE2iPJKB7PXeKh1ou2loDdBfgZDwjoB0lUjRF1IMiKEaFI0TePmtGQAPvptPw6HB1ZktQRDq6EADCp2jlVZlbOK49bjDV+3EE2AJCNCiCbnyu7xBJkN7MsvZVlGnmcq7Xg5ACkZv5AUnITNYWN55nLP1C1EIyfJiBCiyQkwG7iml/PidR+m7/NMpe0vA00H2RsZFt0HgJ/2/+SZuoVo5CQZEUI0SX85MZB10fZc9uWVNHyFAZGQNACAS8qdK7AuO7SM0srShq9biEZOkhEhRJPUOiqQoe2jUApmLt/jmUo7jwGgU8YSEgITKLeXS1eNELUgyYgQosm6fVBrAGavPkT+8YqGr7DTVaAzoGVt5NLo3oB01QhRG5KMCCGarAtahdM1IYQKm4MPf/PAImgBEdD6IgAuLSkDnOuNlNnKGr5uIRoxSUaEEE2WpmlMHNQKgA/S91NeaW/4SrteB0DnnYuID4inzFbGr5m/Nny9QjRi55SMvPbaayQnJ2OxWOjXrx+///57jWXffvttBg4cSFhYGGFhYQwbNuyM5YUQoj5d1iWWhFA/jpZY+XLNoYavsP1lYPRHO7qXSyNTAZi3d17D1ytEI1bnZOTzzz9n0qRJTJkyhbVr19KtWzeGDx9Obm5uteWXLFnCDTfcwM8//0x6ejqJiYlceumlZGZmnnfwQghxNga9jlsvTAHgzaW7qbQ7GrZCc6AzIQEuL3LO4llycAmFFR66cJ8QjVCdk5GXXnqJiRMnMmHCBDp16sSMGTPw9/fn3Xffrbb8xx9/zF133UX37t3p0KEDM2fOxOFwsGjRovMOXgghauNPfROJCDBx8GgZc9Z54B+h1OsBaL99Pu1C21LpqOTHfT82fL1CNFJ1SkasVitr1qxh2LBhJ19Ap2PYsGGkp6fX6jVKS0uprKwkPDy8bpEKIcQ58jcZuP3E2JHpP2dga+jWkdYXQ1AclOZzRaBzRs93u79r2DqFaMTqlIzk5eVht9uJiYlx2x4TE0N2dnatXuPhhx8mPj7eLaH5o4qKCoqKitxuQghxPv58QRLhASb255fy7YbDDVuZ3gDdbwTgssM70Wk61h9Zz4GiAw1brxCNlEdn0zzzzDN89tlnfP3111gslhrLTZs2jZCQENctMTHRg1EKIZqiALOB2wY6x45MX5yBvaEvoNfjzwBE7f6FtKgeAHy3R1pHhKhOnZKRyMhI9Ho9OTk5bttzcnKIjY0947EvvPACzzzzDD/99BOpqalnLDt58mQKCwtdt4MHPXQZcCFEk3ZzWjKh/kb25JXwzfoGHjsS3gqSBwKKKxzOf77mZMzB5rA1bL1CNEJ1SkZMJhO9evVyG3xaNRg1LS2txuOee+45nnrqKebPn0/v3r3PWo/ZbCY4ONjtJoQQ5yvQbGDiQOfYkZcW7KTC1sDrjvQcB8DFO5cTag4luySbZYeWNWydQjRCde6mmTRpEm+//TazZs1i27Zt3HnnnZSUlDBhwgQAbr75ZiZPnuwq/+yzz/LYY4/x7rvvkpycTHZ2NtnZ2Rw/frz+3oUQQtTSLQNSiA4yc+hYGR//1sBjODqOBr9wzIUHuSrM2SL8xc4vGrZOIRqhOicjY8eO5YUXXuDxxx+ne/furF+/nvnz57sGtR44cICsrCxX+TfeeAOr1cq1115LXFyc6/bCCy/U37sQQoha8jPpeeCSdgC8ungXReWVDVeZ0QK9xgNwbVYGAL9m/sqhYg8sviZEI6IppRp4FNf5KyoqIiQkhMLCQumyEUKcN5vdwaUvL2XPkRLuvagND17avuEqKzwEL6eCsvPX3pezIn8jt3S5hQd6PdBwdQrhI2r7/S3XphFCNDsGvY6HhjsTkJnL9pJdWN5wlYW0cHbXANeXO9c3+XrX11TYPXAVYSEaCUlGhBDN0vDOsfRKCqOs0s60H7Y1bGUX3AnA4O2LifOP4VjFMb7d/W3D1ilEIyLJiBCiWdI0jamjO6Np8M36w6zad7ThKkvsB3HdMdjK+YspHoAPtnyAQzXwSrBCNBKSjAghmq2uLUL4Ux/noopTvtnScAuhaRpc6BwjcvX2JQQZg9hXtI+fD/7cMPUJ0chIMiKEaNb+fml7gi0GtmYV8cnvDTjVt+MVENmOgLJCrg9wrgT7/ub3G64+IRoRSUaEEM1aRKDZNZvm+fnbyS1qoMGsOp2rdeSmjN8x6oysP7KeNTlrGqY+IRoRSUaEEM3eTf1aktoihKJyG1O+3dJwFXW9DkISiSrO5YqgtgC8sf6NhqtPiEZCkhEhRLNn0Ot45upUDDqNHzZnM39z7a5CXmd6o6t15PbdazHoDKzMXsmq7FUNU58QjYQkI0IIAXSKD+avg53XrXn8m80UljXQyqw9b4awFOKLc7kmoDUA09dNpxGsPylEg5FkRAghTrj3ora0igwgt7iCJ7/b2jCV6I1w0b8AmLjrd0w6I2tz15Keld4w9QnRCEgyIoQQJ1iMep67NhWdBl+tPcTcjVlnP+hcdL4aYrsSU1bI9ZYWALy0+iXsjga+irAQPkqSESGEOEXv5HDuGtIGgEe/3kRWYVn9V6LTwbCpANy+I50ggz87ju3gm93f1H9dQjQCkowIIcQf3DesLaktQigsq+TBLzbgaIjF0NoMg3YjCLNZucPuD8B/1/6XksqS+q9LCB8nyYgQQvyBUa/j5bHd8TPqWbE7n9d+zmiYioY/DXoTN+xZS5I5gvzyfN7e+HbD1CWED5NkRAghqtEqKpAnr+wMwEsLd7J055H6rySiNfS/FyPw97x8AGZtmcWuY7vqvy4hfJgkI0IIUYPreidyQ99ElIL7PltHZkEDjB8Z+CCEJDI47wBDTTHYlI0n0p+Qi+iJZkWSESGEOIMpozvTJSGYY6WV3PXRGsor63nGiykARr+CBjyasY4AvYUNRzbw+Y7P67ceIXyYJCNCCHEGFqOeN27qRai/kQ2HCpn0xfr6H9Da5mLo8Wdi7TbuO+5cbO3lNS9zqPhQ/dYjhI+SZEQIIc4iMdyfN//cC6NeY96mbJ7/aUf9V3Lp/0FQHGOz99LTEEqprZTJyyZjc9jqvy4hfIwkI0IIUQv9WkXw7DWpALyxZDdfrDpYvxX4hcKY19EBT+/dQqDezPoj65m5aWb91iOED5JkRAghaunqni3428XOq+1O/noTC7bm1G8FrS+CAfeTYLPzaP4xAGZsmMG63HX1W48QPkaSESGEqIMHhrXl6p4J2B2Kuz9ey/JdefVbwUX/goReXH4sj8vsJuzKzqQlk8gtza3feoTwIZKMCCFEHWiaxnPXpDKicyxWu4OJH6xm1b6j9VeB3gjXvY/mH8GUg7tpo/mRV5bHpCWTqLQ30JWEhfAySUaEEKKODHod/72hB4PbRVFWaWfCe6tYXZ8JSWhLuP4D/DU9rxzYTZDOxIYjG5j2+zSUaoCl6YXwMklGhBDiHJgMOmb8uRcXtArneIWNv7zze/2u0pp8IYx8lpY2G88czkRDY/bO2byz+Z36q0MIHyHJiBBCnCM/k573xvd1tZDcNms18zdn1V8FfW6DPhMZVFbGQ0cLAHhl7SvMyZhTf3UI4QMkGRFCiPPgZ9Lz9s29uayrcwzJXR+v5eOV++uvgpHPQuer+XNhIROKSwGYumIqvxz8pf7qEMLLJBkRQojzZDLoePWGnoztnYhDwT+/3syT323FXh8rter0cNWb0Poi7s/LY3SpFbuy88CSByQhEU2GJCNCCFEP9DqNZ67pyt8vbQfAu7/uZeIHqykur4cZMAYTjP0IXcv+PJGTzSVlViodldy/5H4WH1h8/q8vhJdJMiKEEPVE0zTuuagt02/sgdmgY/H2XK587Ve2Zxed/4ubAuDPX2JMGcyz2dkMLy3H5rDx4JIH+X7P9+f/+kJ4kSQjQghRzy5Pjefzv6YRG2xhz5ESxrz2K7NX18Py8aYAuPELjG2H80xOLqOOl2BTNiYvm8xbG9+Sab+i0ZJkRAghGkD3xFDm/u1CBrWLorzSwT++3Mikz9dTWHae3TZGC4z9CEP3m3j6SD7jC5ytLq+ue5Wp6VOx2q31EL0QniXJiBBCNJCIQDPvj+/Dg5e0Q6fB/9ZlMvw/S89/PRKDCa58Dd1Fj/HgsQIezTuKTsH/dv2PcT+M4/Dxw/XzBoTwEElGhBCiAel0Gvde3JbZd6SRHOFPdlE5N7/7O49+vYmi8xncqmkw6O9w3fvcUK6YnpNLsEOxOX8z139/Pcszl9ffmxCigWmqEXQyFhUVERISQmFhIcHBwd4ORwghzkmZ1c6z87fz/op9AEQGmvnnqA6M6Z6Apmnn/sJHdsLscWQe3cGD0VFsMZsAuKnjTdzX8z78DH71EL0QdVfb729JRoQQwsPSd+fzzzmb2HOkBIC+yeE8OaYzHWLP4++btRTm/QPr+o94LiKMz4ODAEgKTuLfA/5N9+ju9RC5EHUjyYgQQviwCpudd5bv5dVFGZRV2tE0uLpHCx64pC0twvzP/YW3fQffP8CvjmIejwwn12BAQ+P69tdzb497CTGH1N+bEOIsJBkRQohGILOgjKfnbmPuJuc1bUx6HTdd0JK7h7YhMtB8bi9aehTm/YOirV/xbHgY3wYFAhBqDuW+nvdxVZur0Ov09fUWhKiRJCNCCNGIbDhYwLPzt7Nidz4AfkY9Y/skMnFQKxJCz3HMR8ZC+OERVpUc4OmIMDJMzrEkbULbcG+PexmaOPT8xqoIcRaSjAghRCO0fFcez/24nY2HCgEw6DSu6BbP7YNbnduYEpsVfn+TyiXP8rkFXg8NoVjvnEjZNbIL9/S4l7S4NElKRIOQZEQIIRoppRTLM/J4Y8luV0sJQN+UcP58QRIjOsdiMtRxZYaSfFjxCoW/v82sQCMfBQdRpnO+RsfwDozvPIFLky/FoDPU51sRzZwkI0II0QRsOFjAjF9289PWHNdVgCMDTVzfO5HreieSEhlQtxcszoHlL5G3bhbvBJr5MiiQ8hNJSZx/DDd0vIkr21xJuCW8vt+KaIYkGRFCiCYkq7CMz34/yGerDpBTVOHa3i0xlDHd47k8NZ6ooDoMeC3Jg1XvULD6bT4zVPBpcBBH9c5BrQZNz7CWw7im/bX0je2LTpP1McW5kWRECCGaoEq7g0Xbcvj094Msz8hztZbodRr9W0cwvHMsl3SKISbYUssXLIdNX1D++5vMPb6XL4MD2Ww+mdTEWyIZ3no0I1NG0iG8g4wtEXUiyYgQQjRxR4or+H7jYeasP8yGgwVu+7olhnJppxiGdYyhXUxg7ZKIw+th3Yds3/oVX1pgbmAAx3UnW0WS/GMZ3voKLmp5ER0jOkqLiTgrSUaEEKIZ2ZtXwvzN2fy0NZt1Bwrc9kUHmbmwTSQXto3kwjaRRJ+t1aSyDHbMo3zzVyzLXM4PfkaW+lmoOCUxiTAEMjBxEIOTLiEtPo0AYx3HrohmQZIRIYRopnKLylm4LZeftmaTvjufCpvDbX/7mCD6pITRJzmcXklhJIT61dxyUlEMO3+kZPOX/Jz1GwstetL9LJSekpgY0OgSlEyfxEH0TuhP96ju+BvPYxVZ0WRIMiKEEILySjtr9h9j2a48lmccYcvhIv74Vz822EKvpDB6JYXRtUUIneKCCTBXM8XXVgH7V2DdOZ81+xawtDKfZf5+7Dca3YoZ0Ogc0IIecX3pmpBG18hUYgNiZbxJMyTJiBBCiNMcLbGyck8+q/cfY/X+Y2zJLMTmcP8a0DRoFRlA5/gQuiQE0yU+hE7xwYT6m9xf7Ng+2LuMzL2LWJW9hlXqOKv8LGQZTk9kInQWuoa0pmtcHzrE9qZdeHti/GMkQWniJBkRQghxVmVWOxsOFbBm/zHWHTjGlsNFZBWWV1s2KshM2+hA2kYH0iYmyPU4ouoaOgUHYN+vZO5dzKq8DWwqP8Ims4ldJiO2apKOIM1AW79o2oW2o21cL9pFdyc5OJlQS2gDvmPhSZKMCCGEOCd5xyvYnFnIlsNFbM4sZFNmIYeOldVYPszfSMuIAJLC/UmO8Hc+jvAnKUgjqmQnFYdWsT3zVzYd3c5mWxE7TQb2GatPUABCNANJxlCSAuNJCmtLUnQqSREdSQxKJNAU2FBvWzQASUaEEELUm+MVNnbnHmdX7nF25RaTkeN8fPBY6WljUE7lZ9TTMtyfuFALcSF+JAZptNVnEV+5h7KSjRw+vpOM0ix2qnIyTEZyquniOVUQeuINAcSZw4gPiCM+OIm4iPbEh7cnLiiBcEu4dP34EElGhBBCNLgyq529eSUcOFrC/vxS9h8tZX++8/HhgjIctfiGCfM3khKs6OqXT5I+Ez9tD1bHIQoduWQ7Cjmoc7DfaODYiRViz8SgIFIzEmXwJ8oUTJQlnMiAWKICE4gKTSEqrDVRgXGEmkPlOjweIMmIEEIIr7LaHGQWlHHgaCnZhWUcLignq7CMrMJy562gjBKr/ayvE0gpLbVc4vQ5xATmEGg+gqY/Srm+mEJdKUd0drIMeo6cpVXlj4KURphmJExvIczgT6gpiDBzKKF+kYT5RxEaGEdYUAtCgloQ5BdKsCkYk9509hcWLpKMCCGE8GlKKYrKbWQXlnO4sIwjRRUcOV7BkeIK8k65zztupbCsssbXMWAjVjtGjJZLsCGXAOMRzIZj6AxFOAwlVBorKNVXUqh3kKfXk6/Xoc6xK8esIAgdgZqBYJ2RIL2ZIL0fQcYAgkxBBJmCCTKHEuQXTqBfOH7mMPz9wk/cwggwBuJn8EOvO3srT1NQ2+9vaaMSQgjhFZqmEeJnJMTPSPvYoDOWrbDZyT9uPZGcVHC0pJKCUisFpZUUlFk5VlpJYWkluVXbSq2ntbrocBBGMXHaMYIN+QToj2LRF2LUF2EwHEfpS7DrK6g0WKnQVVKid1CshwK93rUsfoUGFTjIwwoOKzhKoBKofgJSjSwK/JSGv6YjQNPjrxnw15nw15vw15vxN/jhZ7Bg0fthNvphMfhhNvhhMQZgMQZgNgVgMQY5780hWExBmC3Oe4vRD5PO1KjGzkgyIoQQwueZDXriQ/2ID/Wr9TFWm4OCMiuFpZUUlFVyvNxGUXklxytsFJfbOF5u43jFiW3lJ7ZV2CguO1nGZqskhBLCtWICdEX46wux6Isw649j1B1Hry9F05ejdOUovRWbzkqlzk653k6l5qBCB6U6KNN0lOg0HCcShHINyjXFMeyAHZQV7KVw9l6rWtGUwoSzJcesNMzoMKHDpOkwaXqMmg4TBkw6PSadAZPOyK1p/6Jt8oX1E0AdnVMy8tprr/H888+TnZ1Nt27dePXVV+nbt2+N5WfPns1jjz3Gvn37aNu2Lc8++yyXXXbZOQcthBBCnI3JoCM6yEJ0UC2vYFyNCpudkgo7pVYbZVY7pSduZZU25+MT+0or7e77rTbXY1O5lSBrKVplCTpbMZqjEJ2jEE0dR6+VYNSVoteXo9fK0fQVaDoraFaUrhJ0NhyaHbvOjl1zYNMc2DRFpU5h1aBSO9Fao9Mo1zTsJ5IdpWlU4Nzn5Dhx+4NTNg/Yv6PxJCOff/45kyZNYsaMGfTr14+XX36Z4cOHs2PHDqKjo08rv2LFCm644QamTZvG5ZdfzieffMKYMWNYu3YtXbp0qZc3IYQQQjQEs0GP2aAnPKBhBq7a7A4qbFU3O+WVzvuKSue28kr7WffZbHbsNivKVobDWoLdVozddhyH/TgOe4nzpspQjnJQ5ThUBQ5lRVGJwopSNhxaJZE9OzXIe6yNOg9g7devH3369GH69OkAOBwOEhMTuffee3nkkUdOKz927FhKSkr4/vvvXdsuuOACunfvzowZM2pVpwxgFUIIIRqf2n5/62rcUw2r1cqaNWsYNmzYyRfQ6Rg2bBjp6enVHpOenu5WHmD48OE1lhdCCCFE81Knbpq8vDzsdjsxMTFu22NiYti+fXu1x2RnZ1dbPjs7u8Z6KioqqKiocD0vKiqqS5hCCCGEaETq1DLiKdOmTSMkJMR1S0xM9HZIQgghhGggdUpGIiMj0ev15OTkuG3PyckhNja22mNiY2PrVB5g8uTJFBYWum4HDx6sS5hCCCGEaETqlIyYTCZ69erFokWLXNscDgeLFi0iLS2t2mPS0tLcygMsWLCgxvIAZrOZ4OBgt5sQQgghmqY6T+2dNGkS48aNo3fv3vTt25eXX36ZkpISJkyYAMDNN99MQkIC06ZNA+C+++5j8ODBvPjii4waNYrPPvuM1atX89Zbb9XvOxFCCCFEo1TnZGTs2LEcOXKExx9/nOzsbLp37878+fNdg1QPHDiATneywaV///588skn/Otf/+LRRx+lbdu2zJkzR9YYEUIIIQQgF8oTQgghRANpkHVGhBBCCCHqmyQjQgghhPAqSUaEEEII4VWSjAghhBDCqyQZEUIIIYRXSTIihBBCCK+q8zoj3lA1+1gumCeEEEI0HlXf22dbRaRRJCPFxcUAcsE8IYQQohEqLi4mJCSkxv2NYtEzh8PB4cOHCQoKQtO0envdoqIiEhMTOXjwoCymdhZyrupGzlftybmqPTlXtSfnqvYa8lwppSguLiY+Pt5tdfY/ahQtIzqdjhYtWjTY68vF+GpPzlXdyPmqPTlXtSfnqvbkXNVeQ52rM7WIVJEBrEIIIYTwKklGhBBCCOFVzToZMZvNTJkyBbPZ7O1QfJ6cq7qR81V7cq5qT85V7cm5qj1fOFeNYgCrEEIIIZquZt0yIoQQQgjvk2RECCGEEF4lyYgQQgghvEqSESGEEEJ4VbNIRqZOnYqmaW63Dh06uPaXl5dz9913ExERQWBgINdccw05OTlejNhzli5dyujRo4mPj0fTNObMmeO2XynF448/TlxcHH5+fgwbNoxdu3a5lTl69Cg33XQTwcHBhIaGcuutt3L8+HEPvgvPONu5Gj9+/GmfsxEjRriVaS7natq0afTp04egoCCio6MZM2YMO3bscCtTm9+7AwcOMGrUKPz9/YmOjuYf//gHNpvNk2+lwdXmXA0ZMuS0z9Ydd9zhVqY5nKs33niD1NRU1+JcaWlp/PDDD6798pk66Wznytc+U80iGQHo3LkzWVlZrtvy5ctd+x544AG+++47Zs+ezS+//MLhw4e5+uqrvRit55SUlNCtWzdee+21avc/99xz/Pe//2XGjBmsXLmSgIAAhg8fTnl5uavMTTfdxJYtW1iwYAHff/89S5cu5fbbb/fUW/CYs50rgBEjRrh9zj799FO3/c3lXP3yyy/cfffd/PbbbyxYsIDKykouvfRSSkpKXGXO9ntnt9sZNWoUVquVFStWMGvWLN5//30ef/xxb7ylBlObcwUwceJEt8/Wc88959rXXM5VixYteOaZZ1izZg2rV6/moosu4sorr2TLli2AfKZOdbZzBT72mVLNwJQpU1S3bt2q3VdQUKCMRqOaPXu2a9u2bdsUoNLT0z0UoW8A1Ndff+167nA4VGxsrHr++edd2woKCpTZbFaffvqpUkqprVu3KkCtWrXKVeaHH35QmqapzMxMj8XuaX88V0opNW7cOHXllVfWeExzPVdKKZWbm6sA9csvvyilavd7N2/ePKXT6VR2drarzBtvvKGCg4NVRUWFZ9+AB/3xXCml1ODBg9V9991X4zHN9VwppVRYWJiaOXOmfKZqoepcKeV7n6lm0zKya9cu4uPjadWqFTfddBMHDhwAYM2aNVRWVjJs2DBX2Q4dOtCyZUvS09O9Fa5P2Lt3L9nZ2W7nJiQkhH79+rnOTXp6OqGhofTu3dtVZtiwYeh0OlauXOnxmL1tyZIlREdH0759e+68807y8/Nd+5rzuSosLAQgPDwcqN3vXXp6Ol27diUmJsZVZvjw4RQVFbn9d9fU/PFcVfn444+JjIykS5cuTJ48mdLSUte+5niu7HY7n332GSUlJaSlpcln6gz+eK6q+NJnqlFcKO989evXj/fff5/27duTlZXFE088wcCBA9m8eTPZ2dmYTCZCQ0PdjomJiSE7O9s7AfuIqvd/6oex6nnVvuzsbKKjo932GwwGwsPDm935GzFiBFdffTUpKSns3r2bRx99lJEjR5Keno5er2+258rhcHD//fczYMAAunTpAlCr37vs7OxqP3tV+5qi6s4VwI033khSUhLx8fFs3LiRhx9+mB07dvC///0PaF7natOmTaSlpVFeXk5gYCBff/01nTp1Yv369fKZ+oOazhX43meqWSQjI0eOdD1OTU2lX79+JCUl8cUXX+Dn5+fFyERT8qc//cn1uGvXrqSmptK6dWuWLFnCxRdf7MXIvOvuu+9m8+bNbuO0RPVqOlenjivq2rUrcXFxXHzxxezevZvWrVt7Okyvat++PevXr6ewsJAvv/yScePG8csvv3g7LJ9U07nq1KmTz32mmk03zalCQ0Np164dGRkZxMbGYrVaKSgocCuTk5NDbGysdwL0EVXv/4+j0U89N7GxseTm5rrtt9lsHD16tNmfv1atWhEZGUlGRgbQPM/VPffcw/fff8/PP/9MixYtXNtr83sXGxtb7Weval9TU9O5qk6/fv0A3D5bzeVcmUwm2rRpQ69evZg2bRrdunXjlVdekc9UNWo6V9Xx9meqWSYjx48fZ/fu3cTFxdGrVy+MRiOLFi1y7d+xYwcHDhxw61trjlJSUoiNjXU7N0VFRaxcudJ1btLS0igoKGDNmjWuMosXL8bhcLg+3M3VoUOHyM/PJy4uDmhe50opxT333MPXX3/N4sWLSUlJcdtfm9+7tLQ0Nm3a5JbALViwgODgYFdTc1NwtnNVnfXr1wO4fbaaw7mqjsPhoKKiQj5TtVB1rqrj9c9UvQ+J9UEPPvigWrJkidq7d6/69ddf1bBhw1RkZKTKzc1VSil1xx13qJYtW6rFixer1atXq7S0NJWWlublqD2juLhYrVu3Tq1bt04B6qWXXlLr1q1T+/fvV0op9cwzz6jQ0FD1zTffqI0bN6orr7xSpaSkqLKyMtdrjBgxQvXo0UOtXLlSLV++XLVt21bdcMMN3npLDeZM56q4uFj9/e9/V+np6Wrv3r1q4cKFqmfPnqpt27aqvLzc9RrN5VzdeeedKiQkRC1ZskRlZWW5bqWlpa4yZ/u9s9lsqkuXLurSSy9V69evV/Pnz1dRUVFq8uTJ3nhLDeZs5yojI0M9+eSTavXq1Wrv3r3qm2++Ua1atVKDBg1yvUZzOVePPPKI+uWXX9TevXvVxo0b1SOPPKI0TVM//fSTUko+U6c607nyxc9Us0hGxo4dq+Li4pTJZFIJCQlq7NixKiMjw7W/rKxM3XXXXSosLEz5+/urq666SmVlZXkxYs/5+eefFXDabdy4cUop5/Texx57TMXExCiz2awuvvhitWPHDrfXyM/PVzfccIMKDAxUwcHBasKECaq4uNgL76ZhnelclZaWqksvvVRFRUUpo9GokpKS1MSJE92mxSnVfM5VdecJUO+9956rTG1+7/bt26dGjhyp/Pz8VGRkpHrwwQdVZWWlh99NwzrbuTpw4IAaNGiQCg8PV2azWbVp00b94x//UIWFhW6v0xzO1S233KKSkpKUyWRSUVFR6uKLL3YlIkrJZ+pUZzpXvviZ0pRSqv7bW4QQQgghaqdZjhkRQgghhO+QZEQIIYQQXiXJiBBCCCG8SpIRIYQQQniVJCNCCCGE8CpJRoQQQgjhVZKMCCGEEMKrJBkRQgghhFdJMiKEEEIIr5JkRAhx3jRNO+Nt6tSpZzx+6NChzJw5s9p9Q4YM4f7773fb9sorr2A2m/nss8/q6R0IIbzJ4O0AhBCNX1ZWluvx559/zuOPP86OHTtc2wIDA2s89ujRo/z666+1TiymTJnCCy+8wDfffMOIESPOPWghhM+QZEQIcd5iY2Ndj0NCQtA0zW3bmcydO5eePXsSExNzxnJKKf72t7/x0UcfsWDBAvr3739eMQshfIckI0IIr/r222+58sorz1jGZrPx5z//mcWLF/PLL7+QmprqoeiEEJ4gyYgQwmsqKiqYP3/+WceUvP322wBs2LCBDh06eCAyIYQnyQBWIYTXLF68mOjoaDp37nzGchdeeCGBgYE89thj2Gw2D0UnhPAUSUaEEF7z7bffcsUVV5y1XNeuXVm0aBE///wzY8eOlYREiCZGkhEhhFcopfjuu+/OOl6kSvfu3Vm0aBFLly7l+uuvp7KysoEjFEJ4iiQjQgivWLNmDaWlpVx44YW1PqZbt24sXryY5cuXS0IiRBMiyYgQwiu++eYbLrvsMgyGuo2j79q1K4sXL2bFihVcd911WK3WBopQCOEpmlJKeTsIIUTzk5qayr/+9S+uv/56b4cihPAyaRkRQnic1WrlmmuuYeTIkd4ORQjhA6RlRAghhBBeJS0jQgghhPAqSUaEEEII4VWSjAghhBDCqyQZEUIIIYRXSTIihBBCCK+SZEQIIYQQXiXJiBBCCCG8SpIRIYQQQniVJCNCCCGE8Kr/B6RAhVZfhLa+AAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "T = np.linspace(50, 350, 1000)\n",
    "n = np.array([10, 40, 70])\n",
    "dS0 = -20  # per amino acid\n",
    "dH0 = -4.5e3  # per amino acid\n",
    "sigma = 10e-3  # assumed to be temperature independent\n",
    "\n",
    "\n",
    "plt.title(\"Expected fraction of helical segments\")\n",
    "plt.xlabel(\"T / K\")\n",
    "\n",
    "for m in n:\n",
    "    K = np.array([])\n",
    "    Q = np.array([])\n",
    "\n",
    "    for t in T:\n",
    "        k = np.exp(- (dH0 - t * dS0) / (R*t))\n",
    "\n",
    "        q = np.array([1, 1])\n",
    "        for i in range(0, m):\n",
    "            q = np.matmul(np.array([[1, sigma * k], [1, k]]), q)\n",
    "        q = np.matmul(np.array([1, 0]), q)\n",
    "\n",
    "        K = np.append(K, k)\n",
    "        Q = np.append(Q, q)\n",
    "\n",
    "    plt.plot(T, np.gradient(np.log(Q), np.log(K)) / m, label=f\"n={m}\")\n",
    "\n",
    "plt.legend()\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/tmp/ipykernel_1606/3762183324.py:18: DeprecationWarning: scipy.misc.derivative is deprecated in SciPy v1.10.0; and will be completely removed in SciPy v1.12.0. You may consider using findiff: https://github.com/maroba/findiff or numdifftools: https://github.com/pbrod/numdifftools\n",
      "  dlogQ_dlogsigma = np.append(dlogQ_dlogsigma, derivative(logQ_by_logsigma, log(sigma)))\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.title(\"Expected number of helices\")\n",
    "plt.xlabel(\"T / K\")\n",
    "\n",
    "for m in n:\n",
    "    dlogQ_dlogsigma = np.array([])\n",
    "\n",
    "    for t in T:\n",
    "        k = np.exp(- (dH0 - t * dS0) / (R*t))\n",
    "\n",
    "        def logQ_by_logsigma(logsigma):\n",
    "            sigma = exp(logsigma)\n",
    "            q = np.array([1, 1])\n",
    "            for i in range(0, m):\n",
    "                q = np.matmul(np.array([[1, sigma * k], [1, k]]), q)\n",
    "            q = np.matmul(np.array([1, 0]), q)\n",
    "            return log(q)\n",
    "\n",
    "        dlogQ_dlogsigma = np.append(dlogQ_dlogsigma, derivative(logQ_by_logsigma, log(sigma)))\n",
    "\n",
    "    plt.plot(T, dlogQ_dlogsigma, label=f\"n={m}\")\n",
    "\n",
    "plt.legend()\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "venv",
   "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": "3.8.10"
  },
  "orig_nbformat": 4
 },
 "nbformat": 4,
 "nbformat_minor": 2
}