simulation_01_acc.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "aa6a67bc",
   "metadata": {},
   "source": [
    " ### Python scripts used for the paper entitled:\n",
    " #### Single character insertion-deletion model preserves long indels in ancestral sequence reconstruction"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "6fa8b4bf",
   "metadata": {},
   "outputs": [],
   "source": [
    "## Python 3\n",
    "# Acc of ARPIP inference on simulated data\n",
    "# Created by:  Gholamhossein Jowkar <jowk@zhaw.ch>\n",
    "# ACGT ZHAW\n",
    "# Created date: Nov 2023\n",
    "# Modified by: jowk\n",
    "# Modified date: \n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "24af1259",
   "metadata": {},
   "source": [
    "Importing the library used here:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "812357be",
   "metadata": {},
   "outputs": [],
   "source": [
    "\n",
    "import os, sys, time, statistics, json, re, fnmatch, math\n",
    "from collections import Counter\n",
    "from statistics import mean\n",
    "\n",
    "from Bio import AlignIO, SeqIO\n",
    "from Bio.Align import MultipleSeqAlignment\n",
    "\n",
    "# from ete3 import Tree\n",
    "\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "import seaborn as sns\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "from sklearn.datasets import make_classification\n",
    "from sklearn.model_selection import train_test_split\n",
    "from sklearn.linear_model import LogisticRegression\n",
    "from sklearn.metrics import roc_curve, roc_auc_score, auc\n",
    "\n",
    "path = \"./\" #set path to the simulated data directory/dataset\n",
    "os.chdir(path)\n",
    "\n",
    "# Setting the styles\n",
    "sns.set_style('white')\n",
    "sns.set(rc={\"figure.dpi\":300, 'savefig.dpi':300})\n",
    "sns.set_style('white')\n",
    "sns.set_context(\"paper\", font_scale = 1)\n",
    "color_1 = sns.color_palette()[0]\n",
    "color_2 = sns.color_palette()[1]"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "eea994dc",
   "metadata": {},
   "source": [
    "#### Roc Curve: ARPIP ASR vs. INDELible true ancestral values"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "b19a71e2",
   "metadata": {
    "scrolled": false
   },
   "outputs": [],
   "source": [
    "#*****************************************************************\n",
    "#----------------------- Define functions ------------------------\n",
    "#*****************************************************************\n",
    "def get_zero_one_matrix(alignment):\n",
    "    \"\"\"\n",
    "    0/1 mapping of sequence for gap/non-gap characters\n",
    "    \"\"\"\n",
    "    # Get the dimensions of the alignment\n",
    "    num_sequences = len(alignment)\n",
    "    alignment_length = alignment.get_alignment_length()\n",
    "\n",
    "    # Create an empty NumPy array to store the 0 and 1 matrix\n",
    "    matrix = np.zeros((num_sequences, alignment_length), dtype=int)\n",
    "\n",
    "    # Iterate through the alignment and convert characters to 0 and 1\n",
    "    for i, record in enumerate(alignment):\n",
    "        for j, char in enumerate(record.seq):\n",
    "            if char == '-':\n",
    "                matrix[i, j] = 1  # Gap character\n",
    "            else:\n",
    "                matrix[i, j] = 0  # Non-gap character\n",
    "    return matrix\n",
    "\n",
    "\n",
    "\n",
    "\n",
    "#*****************************************************************\n",
    "#--------------------------- Main code ---------------------------\n",
    "#*****************************************************************\n",
    "\n",
    "vec_indelible = np.empty((0,))\n",
    "vec_arpip = np.empty((0,))\n",
    "dict_fpr_tpr = {}\n",
    "lst_fpr = []\n",
    "lst_tpr = []\n",
    "\n",
    "cnt=0\n",
    "\n",
    "for file in os.listdir(''):#set direction to indelible directory\n",
    "    if file.endswith('_TRUE.fas'):\n",
    "        file_name = file.split('_')[0]\n",
    "\n",
    "        # Load your MSA file (replace 'your_msa_file.fasta' with your file's path)\n",
    "        indelible_aln = AlignIO.read(f\"./{file_name}_indelible_ANCESTRAL.fas\", \"fasta\")\n",
    "        arpip_aln = AlignIO.read(f\"./indelible_{file_name}.arpipasr.fasta\", \"fasta\")\n",
    "        \n",
    "        # Read the input sequence for INDELible AS\n",
    "        if indelible_aln.get_alignment_length() != arpip_aln.get_alignment_length():\n",
    "            print(file_name)\n",
    "            print(\"The length of indelible is %s while %s for ARPIP\" %(indelible_aln.get_alignment_length(), arpip_aln.get_alignment_length()))\n",
    "        \n",
    "        #-------------------- gap acc ---------------------\n",
    "        mtx_true_indelible = get_zero_one_matrix(indelible_aln)     \n",
    "        vec_indelible = np.concatenate((vec_indelible, mtx_true_indelible.flatten()))\n",
    "        \n",
    "        mtx_inf_arpip = get_zero_one_matrix(arpip_aln)\n",
    "        vec_arpip = np.concatenate((vec_arpip, mtx_inf_arpip.flatten()))\n",
    "        \n",
    "        loc_fpr, loc_tpr, thresholds = roc_curve(mtx_true_indelible.flatten(), mtx_inf_arpip.flatten())\n",
    "        a = loc_fpr[1]\n",
    "        b = loc_tpr[1]\n",
    "        lst_fpr.append(a)\n",
    "        lst_tpr.append(b)\n",
    "        dict_fpr_tpr[file_name] = [a, b]\n",
    "\n",
    "\n",
    "# Compute ROC curve\n",
    "fpr, tpr, thresholds = roc_curve(vec_indelible, vec_arpip)\n",
    "\n",
    "# Calculate the AUC (Area Under the Curve)\n",
    "roc_auc = auc(fpr, tpr)\n",
    "\n",
    "# Plot the ROC curve\n",
    "plt.figure(figsize=(8, 6))\n",
    "plt.plot(fpr, tpr, color='darkorange', lw=2, label=f'ROC curve (AUC = {roc_auc:.2f})')\n",
    "plt.plot([0, 1], [0, 1], color='navy', lw=2, linestyle='--')\n",
    "plt.xlim([0.0, 1.0])\n",
    "plt.ylim([0.0, 1.05])\n",
    "plt.xlabel('False positive rate')\n",
    "plt.ylabel('True positive rate')\n",
    "plt.title('Receiver Operating Characteristic (ROC) Curve')\n",
    "plt.legend(loc='lower right')\n",
    "plt.show()\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "d12b7afc",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Done\n"
     ]
    }
   ],
   "source": [
    "path = \"./simulation_data/\" #set path to the simulated data directory/feature directory\n",
    "os.chdir(path)\n",
    "\n",
    "# write the df_fpr_tpr dataframe\n",
    "df_fpr_tpr = pd.DataFrame.from_dict(dict_fpr_tpr, columns=['fpr', 'tpr'], orient='index')\n",
    "df_fpr_tpr.to_csv('./01_fpr_tpr_sklearn.csv')\n",
    "print(\"Done\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "6c0bd911",
   "metadata": {},
   "outputs": [],
   "source": [
    "# df_acc = pd.read_csv('./01_fpr_tpr_sklearn.csv')\n",
    "df_acc = pd.read_csv('./01_acc_pr_oma_df.csv')\n",
    "\n",
    "df_acc = df_acc[df_acc['is gappy']==1]\n",
    "df_roc = df_acc[['recall', 'specificity']]\n",
    "\n",
    "df_roc = df_roc[df_roc['recall'] != 0]\n",
    "df_roc = df_roc[df_roc['specificity'] != 0]\n",
    "# print(len(df_roc))\n",
    "\n",
    "df_roc['fpr'] = 1-df_roc['specificity']\n",
    "# print(df_roc['fpr'])\n",
    "\n",
    "df_roc['tpr'] = df_roc['recall']\n",
    "\n",
    "# Sort DataFrame by the 'Age' column in descending order\n",
    "df_roc.sort_values(by='fpr', inplace=True)\n",
    "# print(df_roc['fpr'])\n",
    "# print(df_roc['tpr'])\n",
    "# print(df_roc['tpr'])\n",
    "# Calculate the AUC (Area Under the Curve)\n",
    "# roc_auc = auc(df_roc['fpr'],df_roc['tpr'] )\n",
    "lst_fpr = list(df_roc['fpr'].values)\n",
    "lst_tpr = list(df_roc['tpr'].values)\n",
    "\n",
    "lst_fpr.insert(0,0)\n",
    "lst_fpr.append(1)\n",
    "\n",
    "lst_tpr.insert(0,0)\n",
    "lst_tpr.append(1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "id": "48fdb385",
   "metadata": {
    "scrolled": false
   },
   "outputs": [
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      "text/plain": [
       "<Figure size 1920x1440 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot TPR vs FPR curve for each sample\n",
    "\n",
    "roc_auc = auc(lst_fpr, lst_tpr)\n",
    "\n",
    "# Plot the ROC curve\n",
    "plt.plot(lst_fpr, lst_tpr, color=color_2, lw=2, label=f'ROC curve)')\n",
    "plt.plot([0, 1], [0, 1], color='navy', lw=2, linestyle='--')\n",
    "plt.xlim([0.0, 1.0])\n",
    "plt.ylim([0.0, 1.05])\n",
    "plt.xlabel('False positive rate')\n",
    "plt.ylabel('True positive rate')\n",
    "# plt.title('Receiver Operating Characteristic (ROC) Curve for each sample')\n",
    "sns.despine()\n",
    "plt.legend(loc='lower right')\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4e4bcc3b",
   "metadata": {},
   "source": [
    "---\n",
    "# Revised version\n",
    "#### ROC curve in log scale"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "184841b6",
   "metadata": {},
   "outputs": [
    {
     "data": {
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272b2dpjauCNX+niH0VxnqKXB3mwu3b2m1m32J97atKHxo+zPPrNiff7XoFSq4tLUscN/5vJ5bVNWPX0lCMiCkY4R+bh9jLAj3zFiJJ4dI4Yxrjmiump78XKMsI5jRIkZhhYsmqL09CNU1TrNhwAg0SISJfbAAw/o4x//uHp6DiQarLaIvPvuu/XpT3964O/LL79cH//4x1VTUyNJam9v1ze/+U3dfvvtA8tcd911+uAHP+jeA/DRcC0i16w5X9ns0AGECy+cp1/84iLb2zeMLxUVn1Pz5rXopZc+ZHu9+fNv0csvbytBRIWZ5hdsr3PRRb/QXXe9XIJoCnvxxX+0PeD/xS/+RV/60kMliii/b17yuj50x38rEksUXnifX/ziJb3rXXeVMKqRfeELJ+mLXzzZ1jqP//RnOu6yFYUXLIFyOUbkerr0xq0fU7Ztx7Drnf3NOVq1xfp7yE3db75bVeNm2FonDMcIM9unzT+/WV1rn9PX/zxG33hwjAfRHeqbl7yucw7bc+AGI6KmU96tRMtEbfnVf8nsOzBIasQSajj+Qt35rXv00f+dPMzWSm/wMaJzzbPa/L835F1+yj/dqZdX7taChbd6EN2h3jJ/t7516XrLy8caW9X6rs+qquX7JYxqZDNHd+u+a1+1vd7Z35ilVVv96VSw5obltpZPTT1cH75znH5975sliii///voSs0ac+hFQlXjZ6n1XZ9VNF2nbFe7tvzi5oGktJ/HiJ/99Dy965KFA3/v+uvPteuRX0jm0IEkIxrfl/CS7n2x3rdjxLWnbNHHTttia51Xt1TpLd+cXaKI8rN7jNhv+vULCy9UApVwjJCkj/x0kv7vpQb3g7FgpGNEPn4eI265apfOmvaGrXU4RljHMaL0OEaU1iG/NSzgGGEdx4jSW3PD8v7fyCdfpvql75RhuH/hMfKzn0IGLMjlcvrmN7+pD33oQ0OSa1b19PToq1/96sDfl156qa6//vqB5Jok1dTU6LOf/ayuueaagdtuu+027d3rT1ULAOfW/fulfodQMr3bN2jP47/xO4zQ23bvd0ZMrkk6ZCDVS2/+4NN684efU/vLjw5c2R5kPVtet7Tcjgd+fEg1RyCYOe184A5t/tmXhyTXJMnM9GrXX37iU2BDZfbuKJhck6Qtv/qqdj3izwUDTmR2bdaGWz/mdxhlreu15weqm4Kk581Xtf2+70qSdvzxBwPJNb+1LX9w4P8dq57Srod/Nux3wv7kGoDKku1kfAAAUObMnHY++GN1rbOfkEfxSLDBdWvWrNFVV12lb33rW4fMm2bVfffdp61b+9uT1dbW6rrrrhtx2WuvvVbTpvWXwe7du3dIS0kA4WEWaNUSVjsfvNPvEEIv19uljpcfLbygj3o2rNTWX/+X1n/rH7XrkbuU7bB3FaSXdj9+d8FlTDOn9uV/KXks5axz1VOWluta84w6XnmsxNEA7uh45TFl9u5Q+4t/9TuUAd1vvDJwDtH23J99jgYAAADwx56//d7vECoSCTa4JpPJ6IYbbtC5556rxx9/fOD2U045RWeddZatbd13330D/z/rrLOGVK4dLBqN6sILLxx2XQDh8dpN79LW331Le578vbpef1FZC3NWhMHguXbgTOer1hIVQZBt36ldD/1U6795tbb+7tvq2fzasMv5mVAePJ/VSHo2rVWuuzw+g37Z8ecf+R0CUBLtLz/qa9XwwcxMr7rX97fctXJ8AwAAAMpRrjO4F/qWM2sz3AMWdHZ26o477hj4u6qqSh/72Md05ZVX6nOf+5zl7ZimqSefPDAgfdxxxxVcZ/BcZc8//7x27typpqYmy/sEEAztyx/U4CH9WH2LEmOmKDF6iqrGTFWidYpi9fbml0P49W6z37Pdb2a2T+3LH1D78geUnDRPdUvOUfWso2VE9k2YHPApcDN7/Znzspwc3L4SKBdBTL737dqs1JQFyvV2+R0KAAAA4ItIauQCFZQOCTaUxKmnnqpPf/rTmjJliu11N2zYoPb2Az/c586dW3CdmTNnKhqNKpvNyjRNvfzyyzr++ONt7xtAsGT2bFNmzzZ1vvr3gdsiVWntfH2qpKh/gQE2dK9/Wd3rX1asbpTqjnqLao84TVKwE2yGQZMDAMMLZEvnfTGZfb0+BwIAAAD4o37J2/wOoSKRYINrIpGITjvtNH3gAx/QokWLHG9n3bp1A/83DEMTJkwouE48HteYMWO0ceNGSdL69eGrdgBgTa6nU33bN0ia7HcogC2Zvdu184E7tOuvP1PPpvl+h5MfCTYAIwlggm37fd+VjIjMDAk2AAAAVJ6GZRcqNf1Iv8OoSCTY4JqamhrdcsstRW9n+/btA/9vaGhQIpGwtF5zc/NAgm3bNlpbAQCCycz0Ktu2Q1KD36GMyIiQYAMwPDMbvASbJG3/v1v9DgFwJD1ziXK9nep+/SW/Q7EkNfkwpSf2nyd0v/Gyct0dBdeJ1beUOixrjIgSLZMUqx8lyRhxsartWUkZz8IaLN48TumZk2ytk0rmJPWVJqACojVNSs8c42DNHtdjscJIpJSeucTBer3yqwOFk3ijNX2S/JkvdfAxwqr4cxlJ/pxfVLVOV3qmve44HCOs4xhReg3LLlB6+iIlJ87xZf+QDNMM+CQgKAuf+cxn9Otf/1qSdN555+nmm28ecdnbb79dN910kyRp0qRJ+uMf/2hpH1dccYUef/xxSdLll1+u66+/vsio/bVz584hc8tJ0g9+8FvV1zcOua2urkoTJ9bb3v5LL20tKj6nqqpimjHD/vx4q1fvVHdXrzZ895OWlp949dds72Mk8+fbn/PrjTf2aO9ef04Ipk9vUjJp7/qJrVs7tG1b4R/HVrxx68dtLT+2vk+1SXsn/23dEW3aE7e1zn5GvErx5vFKNI9TvHl8/7/GVkXi1pL5LS3VGj262vL+1t54gXr6DL2+s/D23Xzf7lfMMcLqa+lm3MMdI3Y+eKd2P/arvOut25FQb+bAQEl69tFqPvkyx3Fs/c031LN5raVlZ42x/1nfuDuu9h5rPzztPr+FXrfJTb2a+8W78i7TueZZbf7fGwb+3t4e1c6O4Y8r+eKz+h5qPP4i7XrkF8Pe5/Uxwq7q2ceo6eRLB/7ef4xYe+MFlrdh9RhRCjVVOY1rsP+D+9UtVSWIprBEzNSUZvtVSgcfI7xU6mOE2yY39aoqPvJPxLpFZ2nvM/cPuS3fMWLYbSw5R3v/fq+lZWONrcrs2jzi/UE/RhysqTqjUTX2BhHL7Rgx/oqb1Pbcn7X3uT8VE9qwrB4jRp//KW37/S0y983b58YxIjF6snq3vj7i/alph2vUGVcecvv8+aPVu32DNtz6Mcv72n+MGPfeGxR1MN+Kaea04TZrv6smvP8/ZcQOfL4H/9Z484efV8+GFQW3EX/HDdprNNuO0wnTzCmzd6f6dmxU385NGtdkqqG5VlXjZqhq3AxFEqmC29izp1sbNuz1INpD2f2tIUnd3RmtWbOzRBHlV0njET09/iRUGI8orQkT6lRfn7S1DscI6zhGlJ6TYwTcRQUbAqen58BJQDJp/UtucKXb4G2UkzlzWtTUZP9AP5ywHYBnzGiSmcsqbXGQaprPj8/JCYSfRo+2f5I2nFx3h1IOBhLtqk3mVJt0up8eydwrbX9F2l8wa0QUbx6nqjFTlRgzRYkxU1Q1Zqqi1e68jlVx09IAq9/v28Hmzx9t7bU0Ih7EXfhaoIMH04yOJzV5xtWKVBUeRBlO49NSt2ntPWZE4zKz9gYf7QxW2n1+XfkMHlTBNqomO+KAcL74rMaSNl5Vi4vHjuKOETb3NTmuliI/A1aPEUEStnidJOX85CSh4ZXh5mDLd4wY1vpfq9Xixczxpl71Jdx9v3l5jHBDuR0jpswbpT0dNdq1yZ/H1HDCu1Qz9zht/79bB84wXDlGGKulMSMne+vmNmvUSN8XNlsz7z9GTDl8vCJxZxc8VE80ZPZ2F1xu6oIxMiLDV3cYMWuJ6jFjajSxxcvz3FZJ8xyvXV+ftD3g7qdkMha63/dhi9fJgLufKnU8wiscI0ovbPGG7RgBd5FgQ+D09R0YUIjYaFEVjR446c9k/LlqAKh0fTs3+R2CM2ZOfds39M/t9tLDAzdHaxr3JdumKLEv+RZvbB1xkKESRRLB/GFh9vWo/ZVHVXfE6SXfV/NZ71e0ukF7/36Puta9UPL9eaHtuT9bXtY0TRlGcVf9h/p5K/KxA2EzXIKtpPsLaEtKFMEwZMT8qciTpNTEuf1hRFweDjHzV1JGaxpHvM9pa+ZinsdIIqWshQRbvuSf1efQiHLuDAAAyhMJNgTO4ERZLme93Ut20I/veNyfli8oMRvvB/gjtAm2EWTbd6mrfZe61jw7cJsRr1Ji9OT+xNvoKUq0TlWiZVJgE00l50Gy0Wk367bnH/QkwWZEoqqetUTVs5aod+t67XnqXrW/8JDMjDsVM23PP6Daw08tuFzf7q15W1NZ1bNpjTpeftTy8p2rnlL1LPt96gfb36ILQAh4nWDLceFc+TFkRP0bijD2twX3OIZYngTbwZXjVhjxqqIucIkkUspqV6G95N3H4NaR+XfG0BMAAChPnOUgcAa3hbTT6nHwslVV/swLgtLa+dBP/A4BBfTu3Fj0NsZdcZOUy6lny2vq3bKu/9+29a4lK4pl9vWo581X1fPmq2obuNVQvHlsf5Xb6AMVb9GaBv8C9UqBq7X91LNhhXp3vKlE8/jS7mjQoFhi9CS1nHONmk55d//8Mk/9nzJ7t+dZubC2F/+aN8GW6+vRjj/8j9qef8Dy62GaORkjXJHeseIJW/F1r3+p6ARbqFHBhgpjZj1OeHmc0IM3/Kxg279vr5N8eSvYDPsXLBkOW0MOrG9hLrJCiT+rzyHdHwAAQLkiwYbAqa8/0Cu6vb3d8nqDlx28DZSHbFeb9jzxW7/DQB59u7eo/cW/Fr2daLpO8cZWJSfOGbjNzGXVt2OjeresU8/Wderd8pp6Nr+mXKc/EwsfyuyfSH3HxiGVP27N4RZkZsArS9uef0DNp15e2p0Mk6iKpmrVsPSdqj/m7ep89e/a8/d71L3+ZUeb7y7QPnHHH/5Hbc/9ydY2+3ZuGjHxuPuxX9na1p6//U7Np19hax0A4UWLSBTNsD53V0l2H8AEm5MKNqdzrw2sb2Ge2pEuxhm4P2rxdSTBBgAAyhQJNgTO6NEHJrLcvXu3stnskLaRI9m5c+fA/1taWkoSG/zT8+Yqv0NAHj0bV2vzz29StmN30dsa7opmIxJVomWiEi0TVaMTJPW3Dcy271bvltfUu3Wderb0J976dmyS5KyloNuyHXv8DqH0AlzBJknty/+ippMvs3/ltI2qpHyDT0Ykquo5x6p6zrHq2fyatv3+2+rd8pq9WNQ/oD3cY+jbvdV2ck2S+ra9UfrKvkpBBRsqjccJtlyfhTmiEDL+zsE2kGDzOOmTr0Wkk1iKrWCLUMEGAABQNBJsCJzJkycP/D+bzWrjxo2aOHFi3nV6e3u1ZcuWgb+nTJlSqvDgk/ZXHvM7BIygc/XT2vKrr8rss97SNR+rV8IahqFYbaNitY1Kz1g0cHuut1u929ard/Nr+6rd1ql36+uuxYeDBLyCLduxW51rnlX1zKNKtxOLV51XtU5VYsxUZwm2TO+wrZx6Njq7+CCSqnG0Hg5liAQbKovXFWzyuiUlPGG58qkU+/ajgi0SVSRdO/L9BSrFht2kBxVsBeOymmCzcMEsAABAGJFgQ+BMmDBBdXV12ru3v/XbypUrCybYVq1apey+9jGGYWjWrFkljxPe4qrHYNr7zB+0/b7vulrFVGzLoEgiqeT4WUqOP3AcMHNZ9e3aPDCn2/753bLthSZ2RyFmwCvYpP42kaVMsBVqnzRkWYcDTGZfrzRsgm21o+0ZEU4BXUMFGyoNc6KhWIbha4vISHxf9ZyH34XRmsYCFe/2E2zFz8GWLLyMSxVstIgEAADlitEVBI5hGDrqqKP0wAMPSJIee+wxnX766XnXeeyxA9VNs2fPVmNjnv72CKVKmMsqTEzT1K6//MT2XE1WlGLAxYhElWge398Sb96ygdsz7bvVu7/KbV/irW/HxsC3PQyUgFewSVLnqqeU7dhj8zhiI2liJ8HmcIAp19ej4dY0s32Otmeaww+Q92593dH2AFQO5kSDGwLRItLDCrZ87SElOUpAedIissBFJJY7T5BgAwAAZYoEGwLpzDPPHEiw3XPPPfrUpz6l6urqYZfNZrO66667Bv4+66yzPIkR3oqm6/wOAfuY2T5t+/0tan/xr+5v3Ih4+gM8VtOgWM0RSk87YuC2XF+Pere9sS/p9lr/3G5b18nsZQ6Y4ZkyTVNGkKt4clm1vfhXNRzz9tJs385V5w4H80ZqcRpvbHW0veESo13rX9amO7/obHuVLMjvfaAEzBwtG1E83yrYjMhAYs3LBFu0piHv/Xaq4fcrukWkpQQbFWwAAAD5kGBDIJ199tn693//d+3atUu7d+/Wl770Jf3Hf/zHsMt+/etf17p16yRJyWRSF154oYeRwiuR5PAJVngr192hzb/8irrXvVCS7ft5NfN+kXiVkuNmKDluxsBtpplTZteW/jndNh9IvGXbdvgYaWnZav1o5iSjhAMnpln0Jtqe/7Pqj35bwUSgaZrqXPmkute/ZHnbdpKLThPIZqZ3pA06295BCTYzl9XWX33Vceu3wCdZS6pSHzcqFhVsKJZh+DYH25BzTU8v6mrKv4CjFpGFWzzm3aWFOdgKJf4sJdiMSAWfIwAAgHJHgg2BlEql9NGPflT/9m//Jkn6zW9+o1wup8997nNqaur/cdLe3q5vfvObuv322wfWu+qqqzR69Gg/QkbJ8aPMb5m927Xpf29U37b1JduHn/Nx5GMYEcWbxireNFaas3Tg9mzn3v7WkgNtJl9T77YNZdFictdDP7O+cC4X+CuT+7a9oZ5Na4YkToez9+n7tOP+79nbuK052JydeuVGqGCTHCYfD3qP9m5Zp2zHbmfbkpTZs03xBr5/gUpgMgcbXODXOZ8RP5Bg87aCrUCLSAcXzAx+LE4YVirYCs7BVvh19PJ5BgAA8BpnOgisyy67TE899ZTuvfdeSdLvfvc73X///ZozZ46i0ahWrlypzs7OgeWXLFmiD3/4w36FC5S1ni3rtPlnNyrbtrOk+/Hramanouk6paYuVGrqwoHbcple9W3boN6t67T9vu+OXHkUYN0bVmr3o3cVXnAf08yFIgXe9vyf8ybYMnu2accff2B/wzauOjci7raIdFzdN6iCrev1F7Xpx19wtp19ut94pXITbGF48wMuIsGGYhkyfOtaMHi/RtS7i4MKJdgMw+hPstm4SCviQQVbwet4rCTPHFTnAQAAhAVnOggswzD0la98RZdddtlAS4ne3l4tX75czz777JDk2hlnnKFbb71VsRg5Y8BtnWuf18YfXV/y5JoU3Ao2OyKxhKrGTlPt4afKSBQ38OGXzjXP2FthmPm8gqjjpUfyVIL1z0HmpEWirXlTHA7mmX3uJmpNM9c/n+I93yk6uSZJe574rQtRhRUZNlQYEmwoluHfOV9kSILNuxhihSrYJNuJqGIr2KzMwVboQjEr1WlOLy4CAAAIA850EGixWExf+MIXdP755+uXv/ylnnjiCW3ZskWZTEYtLS064ogjdMEFF2jZsmV+hwqUpbblD2rbPd+xPJhmxBKKN49X75bXHO2vHBJsgzmZsD4Idj9ivXpNsjlfmyPFz8EmSbmeTnWufFI1h50w7P07/vA/zjZsq4LN3TnYHD/3uazanvuz2p77k7P1D2LEq1zZTigxrwwqDBVscEMQKtjkYeInWls4wWYYEVtnPEVXsFlJsOW5MEmymKSkgg0AAJQxEmzwxM0336ybb77Z8foLFizQggULXIwI4ePOADusMU1Tux+5S7v++r+W14mkatX6rs+q67XlzhNsIWsRWVDA5yVzTUgq2KT+NpEjJdhy3e2OtmkY1l9n1+dgczwFW1a7Hvmls5WHEUlUboKN9BoqTjbjdwQIPSMgc7AFp0WkJNvnjcVe3GKlRaSZ7csfAxVsAACgwnEpEQBgCDOb0fZ7/9tWci3W2KrxV3xZyQmzi9q3X1czl4pRKVfslryCzT1d615Q3+6t7m7UTgWT4wq2ka4gd5Zh69m8Vtl299q+UsEGVA4zRBdVIKAMw7eLqgYn9pxe9GJ/pxFF03UWFrPbIrK4717DQgVbwW1YSrBVyPkwAACoSJzpAAAG5Hq6tPnnN9tqG1c1bqbGv+/LijeNK3r/RrnNo1ghFWwlH2y1kUNKTpxbcJm25Q8WEcwwbLQCddwicsQKNmcJtu51LzhabySVnGDLdXcqs3eHcj2dhRcGyoCZo4INxTMMQ/IqwTV4v4PnYPPoPC1aXW9tXzbjiRRbweZKgq3Muk8AAADYVGYjmQAApzJtu7T5Zzfaau+YnrVEo9/5iaJ/4O9nRKlgC6UAVbDVHHaiujeuytvCrP35B9R4wkWuzZFn53V23iJy+DnYnCbYejatdbTeSIqdBybM2p7/s9qe/7OMWEK1h5+qppMvUyRZ7XdYQOlQwQaXGLGETI9bjg7pluBRgi9a02RpObvnJcW3iCz+u9vKeY3p8FwFAAAgDCpk5A8AkE/vtje08fbP2Equ1S0+W2Mu+CfXkmuSfJuPo2QqpYLNzPodwoBIqlbVs47Ou0xm73Z1uVnBZWdAzOFgntstIt2e19KzNlsBZmZ6tffp+7T1N1+XGaCkM+A2KtjglogP532Dz1u9+u6K1TRYW9Bmgq3Yc3BXqs+sdJ8gwQYAAMoYCTYA4cAPs5Lpev0lbfzR55XZu93yOk2nvVfNZ33A9dY65ZZgM4zKSLAFqprBkGoPP7XgYu3Pu9cm0lYFm+MWkcNXsHFoDJ7O1U+rc/UzfocBlE6QjvkIp31zV/rRXnBoi0ivKtgaLS3n9RxsbrCWpORkBQAAlC8uNwaACtb+0iPa+rtv5m2nN0Q0ptHnXquaectKEk+5JdhEi0hfpKYuVLS2Wdm2HSMu07HiCWW72hVN1RS/Q1tzsDltETnSHGzBeu7Rr/v1F/0OASgZMzNCy1rAsn0Jtpj3rcEHn2t6VcFmNcFm97wxGAk2C+fuXA0EAADKWIWM/AEABjNNU7sfv1tb7/7/LCfXIslqjb3sX0uWXJPKcQ62yqhgM0tezWB9YMaQISMSVe3CU/JvMdunjpcfKTawfTs1rC8bdVjBxoB2qOz52+/8DgEAAs+PC6uGzsHmzXlarNbiHGw2zxvdbNPulLU52LgYCAAAlC8SbABQYcxcVjvu/552PnCH5XVi9S0a974vKzVpfgkjkwwr8ziECRVsPuhPdtUenj/BJkltzz/gzh49aRE5UgUbV4UDAMLFMPysYAtui0i7c7AZ8aSDaNxlqQqQcxUAAFDGKmTkDwAg9beZ23LXV7T36fssr5NonaZx77tJiVETShhZPz8GWkqJCja3dmBjYGZfMVm8sVXJAgnhnk1r1Lv19SIC279PGwk2h+2oRkywMa8JACCkvGrROFgkPijBFvIWkYMfi19IsAEAgEpHgg0AKkS2Y482/fgL6lz1d8vrpKYdqXGX/5titRYHBorkx2T3JWXzSuTQCmAFmyTVHn5qwaVdqWKzU8HmcDAv1zd8i0iTQSsAQEj5XsHmUYItZjHBZhj2LswKzRxsXAwEAADKWIWM/AFAZevbuVFv3v5Z9WxcZXmd2iNOV+u7PqNIIlXCyIbyYy6OUqqUCjaVuoLNzhxng5atnnOsjALv37YX/yoz2+c0sn27tPE6O20ROdIcbCTYAAAh5f8cbF4k2AxFaxqsLWqngi0ScyVBmJw4N+/9VRNm59+ApTnYOFcBAADliwQbAJS57g0r9ebtn1Nm9xbL6zSedKlGnXON5617yi3BVilzsJV88nqHAzORRFI185blXSbXuVedq552tP0BNhKATud7oUUkAKDc+J1g8+JCqGh1neX92IknknCneq1u8dl576+edXTe+621iAxSpwMAAAB3VcbIHwBUqI4Vf9OmO7+oXFebtRUiUbW8/aNqPP7CgQnovWRE/Z9Lwk0VU8EWpIGTg963tUecVnCVottE2pqDzdl7IjdSgo38GgAgpHxpEenxHGzRahtt1u2cT8TcSbClpx+pWMOYYe+LpOtUM/+E/HFYaRFJBRsAAChjJNgAhAKtRezb8/d7tOWXXxm5tdxBjERKrZd8XrULTy5tYPliiHk/2X1JVcgcbGaJW0Ta+fQbGppgqxo3U/FRE/Ku07nmWWXadjqIbN8+bbV0ctoicqQEW0CSmxyjAQA2+TH3rtdzsEVtzGNs53xicKKwGJFktVov/pxija1Dbo/WNmvMBdcpVtecPw5LFWycIwAAgPJVZiOZAADTzGnnn3+kPX/7neV1orVNar3486oaM6V0gVngx5XMpRTGCjYzl3WykvuBOHVQ4aVhGKpdeIp2PnDHyOuYObW/8Jci9mmngs1pi0hriXK/mC6V0kWrG5Tt2O3KtgAAwebHeV9k8D4dtm22I1Zjo4LNRoItEk86iGZ4iVETNPGab6hz9TPKtu9SJFWj6plLrLXwtHCuW/JW4gAAAD4iwQYAZSSX6dW2335DHa88bnmdxOhJar34+oJXqHqBOdj8N/JcX3mUuILN3pXPh7Y2rVlwknY+eGfeRGDb8w86CGzfHu1cce64gq1XppmTcUgyLyBXhbt0dXqsYTQJNgCoEL7PweZFBZuNBNuh3/F5lo270yJyYHuRqKpnLbG/npWW8gE5VQEAACiF8I38AQCGle1s06Y7v2QruZaaskDjLr8hEMk1yZ9WQaUUxgq2PU/eY3udUl2Z3Ld7q7b+7lva+3cbMQ0z0BOraVR6xuL8+9q50W54g/Zpp0Wk88E8M9N36G1BabvkUpI11jDale0AQFgVmvOqnPjfIrK487RYfeHvLDsJNjttpCMJdxNsJUUFGwAAKGMk2ACgDPTt3qKNP/qcejassLxOzYKT1HrJ5xVJVpcwMnuoYPNf59rn7K9Uggq2rnUvaMN3P6H25c4rywarPfxUV7YzLCtXb+9ftIir5YetLgxIgm241qJO2o3GLQxWAkA5q1vyVr9D8IwvFWyD5i4zimwRGW8eW/Aim1jdKOsbtFPBFgtTgi0Y5yoAAAClEL6RPwAVih9mI+nZuFobb/+s+nZYr8BpWHahWt7+0cBVjEXKbQ42I3wVbHaStPu5XcFmZjPaft9tMnu77a88QrIrPWORotX1RUY2wi7ttIgs4mp5MzPcPGzBODaa2UOr67pff8n2doKU8AcAP1hquVcm/JiDbcg+i2wRacQSSk8/cuT741VKTVlgfXs2KtiMMFWwBeRcBQAAoBRIsAFAiHWsekobf/yvynbssbaCEdGoc65R08mXBnMAJ2AJv6KFsEWkIy5XsHWuetpWwnio4d/XRjSmmgUnOQ8q7y7ttIh0/p7IDVvB5nhzrjKzmUNu61j1lP0N2XkuAaAchbD63alymIOt/pi3a6Rzj9ojz1AkkbS+MRuvfSRMFWwAAABlrHLO3gGgzOx95g/a8ot/H75t3DCMeFKt7/qM6o48o8SRORcpsxaRdiqbQs3lCrbO1U87XzlP3rh2YYnaRNpp6eR6i8hgzGsy3PxwtubO2y+IiX8A8FIFXWjgR4Jt8Llm8Qk2Q6kpC9T6rs/KSKQG3RxR3ZK3qvn099nbmp2K+FBVsAEAAJSv4i/ZAgB4yjRN7frLT7T7sV9ZXida3aDWiz+nqrHTSxhZ8ZiDLZzcbBFpmqY61zzjeH0jT4Yt0TJRVeNmqmfjKsfbH3afdpJCRQycmn2HtogMSAGbNEyLSLvioyZUTlIaAEYQyA4DJeJLi8ghc7C502kgPXOxJn/if9S7+TVlO/YoOWmeoqkaB8HZqGCLByfBFm+ZpL5t60e8v+nUyz2MBgAAwFsk2AAgRMxsn7b9/ha1v/hXy+vEm8er9ZLrFW8YXcLI3BG0OeGK5dbATeC52CKyd8s6Zdt3Od9AgYHJ2sNPdT3BZodhGFIkJuUObalYSC4zXAVbMFJsw7WItKv+6LcNWwkHABWFCrYS7jDS/x28nwstIveLxBJKTphd1DZszcEWt9F6ssSqZy3R7jwJttSUhR5GAwAA4K3KOXsHEG7BGEP2Vba7Q5t+eoOt5Fpy4lyNe9+NoUiuSf5cyVxSFZJgc7OCraj2kBbUzFvm+/vMiDp7XwxXwRaUg2PRCbZITNWzj6GCDQAqqIItEvX2+9iIJYZUCBbdItLt18pOi8h4cM6Z6xafrWhN07D3Vc85VonWKd4GBAAA4CFGMQAgBDJ7t2vjjz6v7tdftLxO9dzj1HrZvyqaqi1hZO4qtxaRRqVche5iBVsx7SElFRzsiiSrVT13aXH7KJLTAb3h52ALSIKtyMqz0ed+RNF0XUVVbgDAcCrqQoOYtw11Dk5KGZFgNfSxc94YiQWnRWSstkmtF39WVeNmHrjRiKhm4clqeftHKud8GAAAVKRgnVECAA7Rs2WdNv/vjcq277S8Tv2x56rp1MtD94O23FpEVsocbHKpgi3b2aaeN4tt31j4avLaw09V+wsPFbmfIjisbMwFOcFW5BxsNfNP6P9PyI5ZAOC6CjoORjyuKD/4PLPoCja32WkRmQhOgk2SqlqnadwVN6l36+syM72K1TYrVtfsd1gAAAAlF7AzSgDAYJ1rn9eWX35FZm+XxTUMNZ95leqXnFPSuEomaAMdRaqUOdhMlyrYutY+V3yyzkK3puSkeYo1jFZm99bi9uWQ0yvmzcxwLSKDoZgWkZF03YE/Kqg1GgAMq4ISbF5fWBU5uK2iw5bNpWLnwjgjHqwEm9Q/z2zVmCl+hwEAAOCpyjl7B4CQaXv+AW3+2Y2Wk2tGLKExF/5TeJNr0pB5McpChSTY3Kpgc2f+tcLvIcOIqHbhqS7syxnnc7AdWsHm5vx3xSi2gm2/imqNBgDDKLtzoTy8nhP14P0FrtODje/ASDxZwkAAAABgVcDOKAFgJMFog+YF0zS16+Gfa9vvvy3lspbWiaTrNPY9X1L17GNKHB3soILNzjay6lz7bNHbsTowWbvwZFkqdysFh+8Ls2+YCraAHBqLqWAbooIGlgFgWEFL+pSQ13Pvup3Qcz0ZaqdF5MHVeAAAAPBF5Zy9A0AImNmMtt9zi3b99WeW14k1tmr8+76s5PhZJYwMjlRKNY4LVVQ9G1cp19XuQjDWBrti9S1KTVvowv7sczrnSy4zzBxsAcmwmRmXKtiMykhKA8CIKirB5nEFW8CTUnYq6qhgAwAACIbKOXsHgIDL9XRp889vUtvzD1hep2rcTI1/35cVbxpbwsjgVOBaD5WKCwm2ztXPuBCIPbWHn+b5PiXnlY3DV7AFI8GmYirYBj8GKtgAVLhKapXreQVb1O0Em9sVbOGegw0AAKASObuEGoAv9j77J0XravwOwzoXB0rbnv2Ta9sKokzbTm3+2ZfVu+U1y+ukZy3R6Hd+QhF+YAdXxbSItNbKNB/XEmw2DjvpWUsUSdYo1+1G5Zx1TivYhpuDrZgEW2LMVFvHnHzMbJ9M03TWLmvwOhU0sAwAw6qgCw2MqMcJtrKqYOP8HwAAIAhIsAEhsvMvdyqX5GNbbnq3rdfm/71Rmb3bLa9Td9Rb1HzGlRUzx1dYVczrU+QcbJm2na4leuxk2CKxhGrmH6+9T9/n0r4t79jRam63iExPP8LF511SLiMVO1haQQPLADCsCjoOel3BFnG7JaXbL5WtOdhIsAEAAAQBlwkDgI+6Xn9RG3/4eVvJtabT3qfmM99fOcmbMKuQahyzyBaRnWtcbA9pc2DSjzaRRtRpi8hDE2zFdIhMTTvS+crDMItpE7lPxbRVBYARVNRxMBL1dM45r+d8s8tOe1ASbAAAAMFAKQwA+KT9pYe19Xffsj53UTSm0edeq5p5y0obGFxTMYNkRVaw+TH/2n6J1qlKjJ6i3q3rPNun4znYMsPMweawgi1a3aDE6MmO1h2JmclIxY5dVspnBgBGUkHHQcMwZMTiw7dALsX+At4i0vprbwQ+WQgAAFApKufsHQACwjRN7X7s19p699csJ9ciyRqNvewLJNfCpkKqDIupYDOzfep67XkXo7FXwWYYhmqPONXF/VvgsEWk2TdMgs1hCVtq+hGut+Yys31Fb6NiktIAMJIKqX7fz8s2ke7vy90ekVYvwDHiVc7mPAUAAIDrKuvsHQB8Zuay2nHfd7XzwR9bXidW36Jx77tRqUnzShgZSqFi2ngWUcHWvf4Vmb3d7sXiYMCpZv6JUtS7on6nLSJzw17h7yzB1nDc+YFMsFXawDIAHKLCEidG1FollhsVW4Gv+rL4HRj4SjwAAIAKwigGAHgk19utLXf9h/Y+c7/ldRKt0zTuipuUGDWhhJGhZColwVZEBZur869Jjq7ojqZrVT1riatx5OW0ReRwCTaHFWyJ5vH91WIOq+mG48YcbJU2sAwAB6u0Sl6rF3u4MeeYEXN53jKXv7OsXpgVYf41AACAwKiss3cA8Em2Y482/fgL6lz1lOV1UtMXadzl/6ZYTWMJI0MpVcogWTEtIjtXP+1iJHI8d03tQu/aRBoOq+WGnYPNYYJtIBYXq9jMDC0iAaBoFXahgeUEmwvVZ5FhKr9qDz+t6O26xuJ3oBvJRgAAALjDu35IAIoWTdcrmnJrMLS4Qdlht1jkQO/wG80p19Xu/nY91Ltjozb/7w3K7N5ieZ3aI07XqLf8Q+W0GCxXldLuzmGLyL5dm9W3Y6OroRgOn/PUtMNdjSMfpwm24VpEmkUey41YXGZvV1HbGIjFaQXb4O+OChtYBgLBiBRViQyXVdiFBkbU2m+bSLxK2WL3NUySLjXtcLU9/+cit+wOq+cwVLABAAAEBwk2IEQmXv01NTU1+R2Gp7JdbXr9v67wOwzHujes0Oaf36xcV5vldRpPulQNyy5g8vIyUCkJUqcVbJ2r3W0PKcnxwKSXr5XTfZl9JahgsziwaYkbLSIrJSkNBIgRjQ1fIQtfVNr5n9XKtFLNwVY99zhVr/ybOl5+tOjtF81yBVuyxIEAAADAKhJsAALNcHF+IK+1r3hc237zDeuDVpGoWt72IdUuOLmkccFDFZJgc1rBVpIEWxiec4fHNbOvR6Zpujr46mqLyKzDFpGDHg8tIgEfVFhCB8FifQ42NxJsh+7LMAyNfvtHtXfiXO24/3tF76MoFi8yceO5AAAAgDvCO3INoCI4baXmtz1P/l47/ni7rLbiNKrSar3gn5SaurCkccFbTtsVho6DCrZcX4+6X3/R9VDC8JwbUadJQLO/SmzwAGGRbd2CNgdbpbVGA4BKZz3BVnxbxJGq4IxYXPVHvUXRVI223v01Gxt0NzlttcI9QgUbAABAYIRz5BpA5XA8EO0P08xpx59+qL1P/t7yOtHaJo295HolRk8uYWTwRQiSPW4wHVSwda17wULFkyHb80WGIEFTTDvKXF+PokMSbEXGEnXvKnjHFWyDUUkDeCsMVb8oa1ZbP0bcaBFZoPLLjTaURbHcIpI52AAAAIIi+KNQACqaYURCMWAu9Q98b/3VV20l1xKjJ2n8FTeTXCtTlTIHm5Mqqi4L7SFTUw6zvd0wVLCpiMpcs6/n4FuKCsWIuXetlenCHGy0iAS85WYVK+CEly0iI7H8iSm7CTZDflWwkWADAAAICkYxAAReGJIU2c42bfrJl9Sx4gnL66SmLNC4y29QrK65hJHBV0bw37tusFvBZpqmOlc/nXeZROs0xVsm2Q8mBM95Mcc0MzM0wWaaxSbYglbB5uzU1PeqAyCk+OzATZGqtO11rFZSl7JFpNX7S87yHGwk2AAAAIKCBBuA4At4m8i+XZu18YefU8+GlZbXqVlwslov+bwiyeoSRga/haKaahDHyRqbFWx9299QZu/2vMukpy9SNFVjO5QwPOfFzC2Z6+sdekOxCTYX57k0M8VXsDltqxqpShW/b6ACGVEq2OAWQ6Pe+iH7a1mspHYj+VWoWs7vBJvVKm4SbAAAAMHBHGwAAs+IxoqdZqhkujeu1paff1nZjj2W12k4/kI1nniJDOYaKn8hqL4cypsEW6eF9pDpGYvUs2mN/VjC0GIwUkSLyEzvwbcUFYq7FWxutIh0dlw0CrT9AjA8WkQGU7x5vPp2vDni/UYiJbO3y8OI8ojElBw/Uw1Lz1N65mJttbm65TnYXKlgK5Rgs/l5cPtcnhaRAAAAoUOCDUDgGUUMRpdSx6qntPXX/zXMnEgjMCIa9ZarVXfk6aUNDIERuvmkHFZDmbmsreULJdgiqVpVjZuhzB67w3RyXAHlJaOIqtxDjjdFXn3g5uC6ry0iXZibB6hEflfsYHjJiXNHTrAZEVXPPkbtL/zFy5CGFasfrUkf+U5R24hYnYPNjfdqge+YiM/fJVSwAQAAhE8wR60BYLAAVgHtffp+bb//e5Yrd4x4UmPO/5TSMxaVODIEStiKFD1oEZnt7lD3G6/kXSY9/UgZkagiSQctIkOQ1CxmDrbcIQn9YltEuli94kqCzdmHhqv5AWesJjfgrcbjL1THq08q17n3kPvqjz03MN91brQZ9nIOtkLnZb5XQzMHGwAAQOgE48wcAPIoptrDbaaZ084Hf6zt991mOakQrW7QuMv/H8k1BJ/jCjbrCbau154v+NnZ/1mJpmrtBxOCCjZXW0QWOwebmxVsLszB5nQOPSOeLHrfQEViDrZAitW3aOwl1ys5ce7AbZFktRqOv1BNp7w7OJWHwyXYbCb/rH4PudIiskCGzfeWqRa/A7moBAAAIDioYAMQeEFpEWlm+rTt999W+0sPW14nPmqCWi/+vOINo0sYGeAO04M52ArOv2ZElJp2hCQpknJQwRaCBJubLSLNYhNsLg6u0yISCB8q2IKraux0jb38/ymzd5vMvl7F6kYpkui/mMD3RNA+w1ZkRyJS1vp5gdXH4k6LyEIJNp9bRFqscKeCDQAAIDiCMWoNAPm40H6mWNnuDm2569/V/fpLltdJTpqnMRd+WlEHSYJQc3vCd3jHabLGYgWbaebUtSZ/gq1q/KyByrWIkwq2gLTNyqeYFpGHzvkYoAq2bPEVbE5fP67mB5zxO6GA/AzDULz+0Iu0gvK6Ddci0ohEbX0fWH0sXjxm29+Jbp/zWvwO5DsPAAAgOPwftQaAAooZjHZDZs82bfrZjerb9obldarnLdPot380MFcYe4oEW3g5bRFpsYKtd9NaZTv25F1mcCvVSFW6f7DJRoVcKBJsRVSN5fpcbhEZsAo2w+Hxg6v5AWcq8jylDATldRsxwWZnG1Yr2Fw5zheoYItE+9s451y4YMQBq1X4RoK2yAAAAEFBgg1A4LkxgbpTPZtf0+af3ahs+y7L69Qf+w41nfqewExA7z0SbAeE7LlwmqyxmAAr2B5SUnrG4oH/G4ahSKpGuc69lkNxmqDxVDEtIg+eg63oCjb3KgL8rGAzYiTYACeCUgkFewLzug13jm7zwjirF3pEPHrMRjwhs8fq95nbFWwWW0QG5fUHAACAKnX0F0CY+FTB1rnmWW2843rryTUjouazPqDm095bwck1CthCzU6l2GAWW0R2FmgPGa1tUmL05KG3lWGLVVdbRBaXX3O5RaQLc7A5nEMvwhxsgCNuVrHCO0GZd3K4eZKbT3tv3nWqxs0cug3LFWyln4NN8ndeQqsVbBEq2AAAAAKDCjYAgedHBVvb8w9o2z3fsZxwMGIJjX7nJ1Q9++gSRxYCFZxcDDunuRorLSKzHXvUs3F13mXS0xcdUoEWSTqYhy3ghhuQtCrn9hxsbraIzLjRItJhBVucwUbACTtJdiMadyeRjqJVjZnqdwiShj9HT01ZkHed5MS5Q7dhdQ42D1pESj5Xh1m8AIeqbQAAgOBgFBRA4BlFtFOzyzRN7fzrz7Tt99+2nFyLpOs09j1fIrmG8CthBVvnmmdVKBk0eP61/cqxgq2oFpEHJdjMYudgc7WCzccWkczBBjhi5xiQmrqwhJHAjnhjq+JN4/wOY9hz9Fh9i+qXvnPY5WN1o9Rw3HlDt2G1gs2NxJeFLgu29uN2h0iL34GRBN95AAAAQUGCDUDgFVPtYYeZzWjb72/R7od/bnmdWGOrxr/vy0qOn1XCyEKGCrbwcjoFm4XEXOfqp/MvEIkpNeXQwdtIqhwr2Fycgy1ACTa5kmBzNlrJYCPgjJ0q1mSByiR4q2HZBX6HMPwcbJKaTr5MjSdeosigi2TSMxar9dJ/UTRdN2RZqwktd1oBB72Czdo5NHOwAQAABActIgEEnwdzsOV6OrXlV/+prrXPW16navwstV70GUWr60sYWQgxB9sBYZuQrkQVbGYuq661z+VdJjV5niJVqUNuj5RhBVsxbW9dbxEZsDnYrM4/c8h6DDYCjhixhPW2dD7NiYvh1Rx2gnY//mv1bd/gWwwjfZ8ZkagaT7hI9ceeq1xXm4xofMTzZatJXq/aItr7PnH3PM/qd6Af7fMBAAAwPMoMAAReqVtEZtp2auOP/sVWci09+xiNffcXSa4NK2RJJRSvQGKue8NK5Xo68y6Tmn5oe0hJipZhBZuKqMo1+w6uYCsylKh7iSk35mBzmpSmRSTgTGraEYrVNllalgRbsBiRqJpPe6/PMeT/PovEqxSrG5X3fNlyi0gXKtgOnue1VPtxjC4QAAAAocMZHIDAs9O+yK7ebev15u2fVe/WdZbXqVtyjsac/ylFGNAdlpXBCwSTlVaPw65XoIKtYHtI9beOGk4kWY4VbMW0iDyogs1p1eF+MfeugvdzDjaOx4B9kXSdqsZNV7xhjMUVwpNgG33eJ5WcfJjfYZRcesZiNZ58mW/7d6OSynqCzaMKNlu/O9yuYAvPZwwAAAD9SLABCL4S/djsWveCNv7w88ru3W55nabT36fmM67iB3A+JNjCy+l8XgWSPF1rnsl7f6yxVfGmscPeFy3HFpFuVrAVKeJia0U3EmyGwwQbFWyAfY3HXyjDiCjWaC3B5rSFq6ciMU257seqmbesYhLvjcsu0Pir/sOfnbuRYLNYSe3KBXcWzlHdmevNISrYAAAAQofm3QACrxTJrPYXH9bW331LylkbEDaicbW841rVzD3O9VjKDwm20HKYYMtX+ZbZs029W9fnXT89Y9GIlY+RcmwRWUQFW+6gCjbTaVJ0IJZgzcEmx3Owla7SGSg3RiKlhqXvVN1R50iS4o2tFleMqP87vsjjTgmNOuv9A/N5VtLcjFVjp/uyXzfO0S1XsLlyAZeFFpF+vm+4gA8AACB0SLABCDw3J/I2TVN7Hv+1dj54p+V1Iskatb7rM0pOnOtaHGWNCrYQczhomqdFZOeaZwuunh5h/jWpXCvYimgR2Xdwi8jiBrojLiamfJ2DrYSthIFyEq1p0sSrv6ZIsnrgtpjVFpEy+xMAFi9O8lKssVWNx1+kmgUnDdzm61xaFcLLFpGusPAVYyfB5vYpbyiqRAEAADAECTYAwefS1ZxmLqvt939Pbc/8wfI6sfrRar3k80qMmuBKDJWBBFtolaBFZKH514x4lZKT5494fzlWsBUzIHloi8ggVbD52CLSxQsxgHKWmjx/SHJNslHBpv45JM2AJdgmfPC/FG+ZdEiFk9XEe2raEepa+1wJIit/oUuwBb2CjRaRAAAAocNoBIDAc+PHe663W1t//V8FB/sHS7ROV+vFn1WsprHo/VcSd1r4wA9O2w2aI1Sw5TK96lr3Qt51U1MW5J0HLOgVbOkZi+2vVMRFA7nMQQm2IFWwudEi0iEq2ABrhmvpG6tvsbqyjEg0cA0ijXjVsOceVirYmk6/Qn3b8rcxRh5FzCm6n9MLK0rFXuWju+e8lircuaAEAAAgUDg7AxB4xc7vkGnfrS0/v0k9m1ZbXic1fZHGnP9JRRKpovZdkUiwhVeeSjQn63W//tKhLQ0Pkq89pNQ/V1CQJUZPtr1OcRVs+Z9Pu9y8Ut+NCjanqGADLBrmeB2JV1lfP4hzRI2QoLFyfDMMo9jrFCpa6I69Fs5Rfb1gw0KLSC4oAQAACJaQnREDqEhF/Hjv3fGmNv/vDcrs3mp5ndojz9Cosz/oysTtFYkE2wEV8lyMVMHWueaZguumZxRIsAX9OXRwnDCKueI/l5WZzRwY1HSaFN0fi5uDoyTYgMAb6XhtVRDPjUaat8r6BQRk2JwK27HXyhlFxMe5+6zMweZtS00AAAAUEq4zYgAVyelgTvcbK7T5Fzcp19VueZ3Gky9Tw3HnB39QP9B47kLLxQo20zTVuTp/gi3eMsl6a7JyEi1ugNrs6xkY1Cy28sLVCrZMn0zT9Of4yRX9gDUjHDQSoyerd+vrhdcPYkLFGP6Ymq/98FAk2JwKYsI1LysVbHa+F93+vrPQLjNsSU0AAIByF6yG5wAwDCc/JNtfeVyb7vyi9eRaJKaWc69V47ILSK4Vi6cvtBwna4ZJsPXt3KTMrs15VytUvVauih2QHDoPW5EDw64O1JlSLuvi9qxjwBGwaIQLKWoWnFx4VdO0VGHjtREr2KxUIhkG+bVihO7Y63KCzW2WEmxcUAIAABAkwfuFBAAHcTJwuvVXX5WZ7bO2/aq0xl56vWoXnGR7PzhU0Carhw0OK9iGaznW5UJ7yHJVbIJtyDxsRZawGYbh6mCd1eOu28KcYIs1tvodAirJSBVsLROtrFxci9tSKWIOtv6ECxk2p0J37LVwEZifCTYrF/nRIhIAACBYGAUFEHyOBqOtDZZEa5s1/r03KDVlgYN9AJA0bGKuc/XTeVeJVKWVnDCnVBF5yPuBWbNvUAVbsT0i5e5gnenTPGxhHnCc8IH/9DsEVBBzhAspEqMmFFy3qnV60S1uS2LEOdgsHhdcOI5WqtAl2KxUsPk4B5sVVLABAAAECwk2AIFXqvkdEqMna/wVNykxenJJtl+xaLE5SMieC5cq2HK9Xep6/eW866SmHWH5s12z8BRHcXnCh3HZ3OAKNhcCcDXBlik+weZoXr4QV85GEim/Q0AlGeE4H6tvyVtNGUnXKTFmiowR5jvz00iV80asysLaJNeK4VVFYyRd58l+pOAnsGK1TX6HAAAAgEHCOxoBoGKU4urY1NTDNe69NyhW1+z6tiseCTbHTJ/mrzoQgMOBxoMGbLteWy7l8ida0jMWW958pbaSHInp5hxscncw0Y0WkcnJ9iuKmTsTsGiYlr77NSw9L+99/S1lg5dgG+m8I2Kh1Z+Z6SubCram097r+T7dOkevW3x23vubTrzYlf1YOUe1VcFWgu+exOgpee+vP+btru8TAAAAzpFgAxB8LifYahaerNaLP6dIVdrV7WI/Brqd6t6wwtf9m04HGQ8asO1cXWj+NUPp6Uda3nzV2BkOgipfg+dgc/yaDRK0FpENx72z+EAADGukFpGSVHfk6Wo88eKhc1BFY6o/9h0HBvUDOQfb8OcdVo5tZqZPpo0LFeoWnWV5Wa+lpx3hfTWvSwnX9KwlefYRU8rGOUOxIpYqH0snNW3hiPcZiVSZtNcGAAAoHwH8hQQAQ7nZIrLh+Iv6B4+odiiZkVo1obCOFU8oNWm+fwE4TNYMHrA1TVOda/In2KrGzVC0ut76DgL9cfW+8iGXGdQiMmAJNrlQwZZoHq+q8bPU8+arLgQEYIgCx4zGE96lukVnqev1FyVJyQlzhlT7GyPMdxZEViqRzEyv5eNovHm8ms64Qnufub/Y0EoiMXqymk57r3b+6XbP9ulWBVt62hGqP/Zc7Xnit4fc13LONYo3jHFlP5Yq2Gx9J7p/gtJ4wrvUtfY59W5df8i+Rr/jY6GecxQAAKAckWADEHiuzO9gRDTqnKtVd8TpxW8L+QU6GRJsHSv+puYzrvQxSVl8BVvv1teVbduZd/H0dFo+FsMcMgdb8VxtEZkpPsEmSakpC0iwAaVgIZkUra5XzbxlI9wZnp+PhpUWkTaqbmP1LTICfpJTf/TbVNU6VZt+/AVP9udmG/emU9+r1OQF2vv0fcr1dCpa26T6o9+u5PiZru3Dyutn5X1TSpFESmPf/SXtfuI3an/xYZnZPlWNmaqG485Taor9FsoAAAAorfD8QgJQuYpsP2Mkkhpz/nW2WtKhGMEefPKS3ULJbNsO9WxcreT4WaUJqBDH1VCmTNOUYRjqXP10waVT5TSnmg9z95h9g+Zgc6WCzb3BRDdaREryvs0ZUCHMPHOwWRGqCjZLc7D1Flxmv0giGfh5Zg3DUGryYYqk65Tr3Fv6HbrYMtQwDKVnLCrtvKsWXj57c7A5DyWfaLpOzaderuZTLy/NDgAAAOCa8PxCAlCximkRGa1u0LjL/x/JNS8FfPAp6DpWPO7fzotJ1uxrE1lo/rVodb2qxk5zvp88qvxKTHpsyIBwwFpEmi60iJTcbQ0MYJA8c7BZ4UpXAY9YS7D1WT6O1h/z9tCc43hVCe9mBZs3LFSwRf2tYAMAAEC4kGADEHhOf7zHR03QuCtvUlVraQbzMYKQDD4FVceKJ2T6UBUlqbj95nLKdrUVbOuXmn5kyQb+0jOPKsl2gyY3pEWkCwk2N1tEulXBRoINoRDC77siE2xh+mxaaxHZJ0vH0WhMVa3Tiw/KKyTYHLNVwQYAAICKR4INQOA5qa5ITpqvce+9UfH60SWICHmRYCtKZvdW9W5+zae9O0/WmGZOXWufKzh4m56x2PE+0G/wHGxuJGNdrWBzaQ62MLWhQ+WKJKv9DsG2Yo8ZblSXNhx3XtHbsCJiIVFiZnotffWNfvtH+4+VYWlf69G5WOiqjS08LxEbbZODPicfAAAASi8kvxAAVLJobZPtdcZe+i+KpmpKEA0KYbCheL61iSyygq1Qe0gZEaWmHu58H4HkwxxsNuYMssLVCrYcc7A5w3EzjCJhPM8ocg62YufFlaTUNG/adlu5eKD/ooDCx/HqOcf2bzMkFxF5FWc5VrApGhPHZAAAAFhVaaMXAEIoVjfK9jpuVmTALgYlDnD2XPjWJrKIfZq5jDrXPJt3meTEuYqWsuLDp9aaXhvSIrLYdm+igi0YKuO9W26iqVq/Q3DA3znYquctU2ry/KK2YZmFWM1Mr7Xv25Ak1gZ4dZFC2BJsFl5HwzCsfy+G7X0BAAAA11Xa6AWAEPJqona4hMGGovXt3Ki+bW/4sGfng/w9G15Vrqst7zLpGYucbTzQuQfv3+9m36AKNheeGyvzFFnVP5+RC8LWdgwVKYwVbGaRFWzFJr+bT728qPWHNcJ5h5UqrprDTnQ7mmDw6CKFYhOu3rP2nc08bAAAALCKUWsAgLscJ9hIzA3WseIJz/dpFlEN1bHqqYLLOE6wBZoPLSIHV7C5sH83W3yZGXdaRHJhBcIglBVsxVb6FptQ8Tghk559TN77U9OO8CYQj9EicnhWnxcjSoINAAAA1jB6AQBAALX7MQ9bEeOunQUSbLG6UYqPmuh8BxgweA42N1qJulnBJpfmYIukQ5i4QMUJYwVbsW1ljWLnYPO4yr1+yTkjtkusmX+CYrVN1pKOYavOJ8FWFCrYAAAAYBUJNgCAqxxXnoRt8KrE+ratV++Ojd7utIiB12z7zrz3p2YsKv0V9T7MweY0wdV40qWO9zl0DjY3KtiCNwdberqNakcHxxwnc3sCBwtjBVvRSfki27d6VVm1X2ryYWp524cVSQ5NhqZnH6NRb/3HfX9ZeU7Cdo7iUbzFJlwDytULTwAAAFDWyvOSMwCAfxx3iAzb4JUFRT6mjhVPKLHsfJeCsaCECar0jMUl23YYpaYs0K6HfupoXddbRMZcTLC5NAdbJJG0vKzhYMA/Wl2vzN7tttcDBjs4aRMKRc/BVmwFm/fXd9YuPFnVc45R55pnpVxO8VETVDVmyoEFLBWwhewcxUK80eoGZTt2F7kbb1/PeMtET+aojVj9Xgzb+wIAAACuo4INAOAux4MtDFIcrMPjNpFmieYTM6JxpSYfVpJtD5acNK/k+3BL1fhZjtc1M4Mr2IqPxd0EmzstIm0p0woKBF80hK1Mi5lrU3Ijweb+d71h4fwhkkipZu5xqpl//NDkmiQ/5tIsOQvnYsnJ80u+D7elph7uyX6oYAMAAIBVJNgAAIEQuqvDPdC7ea36dm/xboclqmBLTj7MVkWS4/1MnFPyfQRBru/AHGzFzqckudwi0qUKNjuMiJOGDBxvULxQVrAVe8wIWYtIS3xoL1xqVirLUpOKS7AVnWx1oOmkSxRvGWY+V5eTfczBBgAAAKtIsAEA3OV08CyIg24B0LHib97trESDjOkZNubTKoIfg32+zPs2OMHmAlcr2DLeV7AZTirYON7ABWGcg63YY1bRLQF9qHoqpCxbGFs4xsXqWxStrne+Dx++cyOJlMa95/+pYdmFijWMUaxulNIzl2jc+77s6n6MqNUEG98lAAAAlY452AAA7iLB5qqOFY+r4dhzvdlZyBNslWJIi8gynYPNFj8Sq4CkSKryKtiKbTFp57veSKRk9nYVtz8Lquccq+333Tbi/alpR5Q8BtdZSWQahqrGzVLnqr8720XUn6GEaLpWTSdfqqaTLy3ZPqhgAwAAgFXBu4QQABBqVuZCGY4XLQTDqOfNV5XZu8OjvbmfYIs3j1O8sdX17VayXN+BBJvpQlLU+pX6hfkxB5uzFpFA8cJYwWbmikyQFXvM2Zdgqxo3s+Cio8+91pMEerS6XjWHnTjCvYbql5xT8hjcZrUVZzHzgTqqHg4Jy3OwcW0YAABAxSPBBgBwl8NKtPql57kcSPnoWOlNm0g3kjUHK8vWW0P4MHdPNiMzl923ezcq2NxLUDmpYCt2TqZyHuRFsBlVab9DsK/YY0aRFWz7W0w2HHd+3uXizeNVPftoWcpguJDkGHXONUrPPGroZuNJNZ/1/nB+j1k5rhqGauYeW8Q+yvfY62ZlNwAAAMobl/wCANzlcLC8aux0lwMpHx0rHvfmCvpSJNiml3l7SB/ya5JkZnplJFKuBGD5Sn0LzIz9BFvRiV1aRMInxSaHfVFsi8dijzn7nrPU5PmK1jQq275rmGUiGnXO1fv+X9zurIrEq9T6rs+qZ9Ma9WxZJyMSUXrmUaGsUpRkca47Q7HGsaoaO0M9m1bb30XQLm4wIi68v/tFLH8vhvAYAAAAAFdRwQYAcJnDFpEuDvKXm+71ryjTvrv0O3I5wWYkkkpOmuvqNgPHp7E1s69333+K35arV+rTIhIItGLnUCs6Ib4vwRZJVmvMhZ+WcUh7aENNp16u1KT5+/7y9iBbNXa66o44TbULTwlvck2SEbEyB1t/krjx5Muc7SRoFzdYecwWuXnhCQAAAMobIxIAAHeF8Yr+wDPVufJvqlt8Vol3426CLTX1cBnRcm+z5M/7PdfXo/6hTRcq2FxMUPkxB1vNwpM83ydgxEM6b2jRc7AVuf6gyqrk+Jma9JFb1fbsH9S3e5siiaRqjzhNiVETBi3POYUjFp63/cnL9LTD1Xrx57Tt999WtmOP9V1EgzWUYBgR14rKSbABAADAqmCdFQMAQi+ULbNKxcXnomPlE6VPsLnc77Ds20P6yMz0V7C5Mm+ei4OkTuZgK1bN3OM83ycQSVb7HYIj9ce8vbgNFHnMOfgcIZqqKTgfG5ywNgfbfukZizXpo7cqs2ebsp1tyna1acvPb8q/euAq2NyLx4hbTLBxzgsAAFDxaBEJAHAZgw2l0LXuRWU720q6D1eSNYOkZ7iVYPNpojMrfBpcM/t69v3HhQo2NxNsDuZgqz38VMf7q563TLG6UfZXZFAURYqmavwOwZHq2ccWt4ESzNWZl8W5xHAQK8e4g5YxonHFm8YpOWG2teRZwNrzWmqLaXVbZV99DwAAALeQYAMAuMvpwDUD3vmZOXW8+mSpd+LalhJjpipW2+Ta9spNsZWeuf0JNjdaRLpawWa/RWTN3GWO99fytg87XhcoRiTpTYKtes5S17aVmr5IidYpRW3D7QsxCuLUwBFr3zF5lrHSYtLFhJYrfKhg4+0JAACAgJ0VAwBCj0SZcwWu1O9Y8URp9+/iwKl71WsYjrsVbO5dqe+kRWR81HhH+4rWNisSr3K0rudVOCETra73O4TAi3hQwVZ7+KlqWHaBK9tKz1is0e/8uAxLFWF58NkJByvJr7ynaxYSbAGcg80tkZjD7xYAAABUnGCdFQMAygAJNqdSk+era90LI97f9dpy5bo7Sjf3j5lzbVNhTLClZy1R56t/t7eST4PN++dgcyXBFnMzwWa/gs35oKjzx27mso7XrQhGwOZWCqBoiSrYmk69XFL/HJaJ0ZPUu3W94201n/l+xepGKd44RonRk12JLz3rKO196l5XtmUN5xTOFNla08rTHrg52FxsEeni9yIAAADKGwk2AIC7qGAbxN5zUT3n2LwJNuUy6lj1lGoXnFRkXCNwKVcUSdWoatxMdzbmodSUhfYTbD4x+3pd21YkVevatpwk2PwQTVOhheJEUu5f6GDEEmpY+s6DbnT+nVo951jXW/UmJ86VEY07qlZ1wjCMIM/CGVxWWjzmWcawVMEWrASbmxVsRsxai0jOeQEAAECLSACAqxhqcC49+xgVegZL2SbSdKmCLT3tSBlBu7LdAsNRu0F/hn5zbraINAwZ8WTR25EkORl0d3rQKOKhxxvHOF+5EnAgLyha3eD+Rof7PDusyok1jC7JPJiRWEL1x77D9e2OyEoCIyRJjsYTLvZsX0XPwWZl7UjArtV1s4LN4hxsAAAAAAk2AIC7XLyCuNLEahqVnDgn7zJda59TrrerRBG4kyxKz1jsynZCwafSCjPTn2AzXWpR2Xza5a5sx8x4U9Wyb2/O16RFZAHhSFj4qWbuca5v0xzmPe20Kqdm3rJiwxlR40kXq+7ot0mezMFVLu9FQykvWydbed/ke2qtJOiCdiGNHxVsZfP+BAAAgFOMggIA3MVYQ1Gq5xyb934z06vO1c+UZueuJGsMpaYd4cJ2vGftiv+D+TQH20CLSHf2H3FpPilnLSK9PWikZy6RSLDlF5KKIL8kRk9SrL7Fm505rMppPPESlwM5wDAiGnXGlZr04e8oPmpCyfZTThpPvlTJcTO826EnFWzBSrC5GY/1BBsAAAAqHQk2AIC7qGArSqEEm1TCNpEuJNiqxs9SNO3enF6B51IFmV1utoh0k6dzsDl97JGIa+1QyxXptfxGveWa0mx4uLe0w2Sn4UF1Way2SelSV2WVQbK39dJ/UcNx53u6T8NKYjbfc2vleQ/YHGxuVtRZn4PNtV0CAAAgpBgFBQAERBmOUjh4SLG6UaoaNzPvMp2rnzmQYHGRG+0GSz7YCkkHWkQGjpmz337RjwH0HAm2vMogqVFKyQmzPduXYQQsiXGIEr9XQv5eTE1dqPS0IxxWSBeh6P0VXj9oc7A1LsufxIw3j7e8rUgsXmw4AAAAqBAk2AAArvJ8EKkMFWwT2detrrXPub9jEmy2+VU/NtAiMoCVWN7Ow+YMc7AVwnHcVUZE1ZbmbBvmiEJVOJyw9L4prxaRqSkL896fnDTP8rZoEQkAAACr+MUGAHAXCbai+dcmsrh0UbSmUYkxU12KJRwSNq6Id1NuYA624PGuTWQR79eAJdjqjnqL3yEMxWHcVRM//G2NOf9ThRcc5iIHS63+/FTi7/zwX7QT3PjzPrdWwg5Yi8hodb0all047H2RdJ0ajx/+vuEYcasJtuC+vgAAAPBGwH+xAQDCx+lgQ7DmkvJTvLG1YKKqc9VT7lcKFVnBlp6+qAwGQ+2xVpXiPjPT40pLzwEuvm5mtv99Ga1tcm2bw0lNPdzxusGpYOt/3mvmn5B3qfpj3u5FMINU1ue41OL1o52vXGHH1EOF/PH7FL5hpYIt73srfC0iJanxpIvVeOLFiiRrBm5LTpqvsZdcr1jdKMvboYINAAAAVgXvrBgAEG4VPxjojuo5x6p3y2sj3p/r6VTXuuVKz1js3k6LTbC5GUtIRFM1hRcqAbOvJ5DtIaUDCbaqsTPU2fZk4RVGOGbUzD9B7S89POJqdYvPdhSfpJLPwVaz4CS1v/BQweXqlvRXrlWNm6HklAXqXvfCIctEqtKqW3Sm9vztd67HOSKO48ER8BaRlXZRhX2+ZdisLJRndSsJtuC9Nw0josYT3qX6Y96ubPsuKRpzlOA2IlEpEi1c7cz7HwAAoOIF76wYABBuDDYMMIoYWKueu7TgMm63iSyqIioSU2pq/vlPHHOzUiufEL13zb4ev0MYkZnpbxEZiVcVtZ2aBSeNeF+8ZaKqWqc53rZZ6gTbYSdaWm5/FZ4RiWrMeZ9UasqCIffH6kZp9AXXKd40zvUY4Y6ahSfnvT85cW5R2w9iEmOoEh83Q3RcDhQr75u8T62F5z0a3Gt1I4mU4k3jiqoepYoNAAAAVgT3rBgAEFIMhrkh0Txe8ZaJ6tv2xojLdLz6pEZlr5bh1iBXERVRqUlzFalKuRMHCspler1LPNplew624Y8Z6elHqumUd2vnX3465L0ZrW1S64WflhGLD1k+1jBGmd1bCu/NMGSapW0RmZq6ULH6FmX2bMu7XCRx4DMTTddp7Lu/qJ5Na9S3e6sisYRS0w537/ONkqiedYzal/9l5PvttJEd7jMd8Aq2krOSYAt0Es6v2Ky8b4qLLYgtIt1kxOIye7v8DgMAAAABV95nxQAAz9Euyj3Vs4/V7jwJtlxXu7rWv6R0EXNRuSU1Y5HfIVQUs69XQZ23cH+LSNOF+BqOO1/Vc5aqbflfZGb7FG8aq9oFJx+SXJOk6tlHW26jWPo52AzVH3Oudvzh+4UiOeSWqrHTVTV2emnCsojjuHXp6UeqasJs9WxYech98aaxeSsxDzVcgq3SX4tKf/zOWPoM51vGyuqRqPWAQigSSyiYjZgBAAAQJBV+SSQAwHUVPxjonhqv20Q6rGAz4knVzDvBvTh8E573rtnXU1xLzxLan2BzS7xprJpOvlTNp71XdUeeMWxyTZLqj367xZZeRsnnYLOcoAroaximz4LfjFhcY87/p0PmoExOnKsxF31G0WR1cdsPeotIvvODqejXxUqLyPJOsBlxWkQCAACgMCrYAAABwSDdweItkxRvGqu+nZtGXKZz5d9knvUBX68kbzzhIsVqG33bfyXK9fUENjlj2mwR6Va1VKyuWa0Xf06b7vxiwWVLX8GmcCceQhy6H2K1jWq9+HPq3b5B2Y7dilRVq6p1qjsbD3yLSOZgCyQL75u8x14Lz3u5V7AZ0cIJNqp9AQAAEPRfbACAsAn8YKCHihx4MQxD1XPyV7FlO/aoe8OKovazn+mggm30eZ9U/bHvcGX/sM7M9PodwojMjLsVbHZYbq3oRYIt1Bg0diIxaoJSkw9zL7kmBf87teT5Nd6LTlirfMzz3Fqp8i33BBsVbAAAALAg4L/YAAChw1iYq6rnHFtwGdfaRDooiKqZt6x8BkBD9DDMMqpg85whmSVuETmwo0IC+hpSNRQchmEEPMlW6veKle3zfj2EpTnYRr7LSqtfI1rezXCstRwGAABApQvyrzUAQAgZgR4IDJ9E6zTF6kfnXaZjxROOqs8O4cY24Akz0xvY12tgYDaoySN51CIScEuQE542YkvPOtrB9u2vEih+xW/pdRl5GSsXIZR9i8gR5vs8aKmSxwEAAIBgYxQUAOAyBhvc1N8mMn8VW7Ztp3o2ri5+ZwFOiOBQub5gtokMfAWbRIvIQoKc0HFB0ynvVu0Rp/sdhmXlcuFKasoCv0OoIFYq2PK1iLRwHC/7BBsVbAAAACisPH6tAQAQSO4MUltrE/m4C3siwRYmZl+33yEMy8852KwxPKlgs5KjMgP7mSvvBFvDceer+fT3+R2GdZbm0/KHYeO9Urf4LAc7CO5jDzJLrZvzLGNmCx8jjWh5J9gi8Sq/QwAAAEAI8IsFAOAuBsNcVzV+pqI1TXmX6XjlCZlFVqAVu374hSupkOsNZoJNFubu2a9q3MwSBjISUwrKHGwBVeYFbJIkI2ql/VtABPl71eJ7pXresrJvKTg8nz5Mlt4zeRJspoUEW6TM52AL0zECAAAAvgnwrzUAQChVwMCs1wwjUrCKLbNnq3o3v1bcjio+wRYuZl+P3yEMy06LyPioCS7v3doBKDBzsAX2I1cBB/IQVd9YqkbyjbXYIlVpZ1u38NiD/fz4xELVY96nzUIFW5g+Q04YcQstInnvAQAAVDwSbAAAVzmeK4Yxirw8aRNJgi1UyiHBVn/UOSWMZCSGZHpQwWZp4JXPnF9CNa9ZgFtEWk4wOE5EcHLghLWkY74WkYWP42VfwcYcbAAAALAgwL/WAADAfsmJcxStrs+7TMeKYttEVvhgf8iuRM8FNcFmYw62xJjJJYxkZIGpYAug2sNPE0mNgAlTMnAElXrxjX/VdcUl+OPN4wquHW8YbSOe8DFitIgEAABAYeH/tQYACJaQJSnCwohElZ51TN5l+nZuVN+2NxzvgznYwsUM6BxspsU52OJNY/2bk8mTOdgsCOBnLjl5XmiP45Fkjd8hFCU2QsIiVNV2IymjCrb6Y9/hdwiFWXjPmHmOg1XjZsjI09YzWtOkeMskR6GFhRGrsrJUyeMAAABAsJXBrzUAQKCEdGA2DKy0iWwvpk2kF23z4JpcX1ATbNZaRPo2OGsY3lSwhfBYmJp2pGrmn+B3GI7VHHai3yHkVT3/+Lz3N516+fB3BDnBVuoWkQH8HFXPOdb6a+JX/Fb2myfBbxgR1R1x+oj31x5xWtnPfRexMgcbAAAAKl6Af60BAMKpvAdc/JSaPL9ghUbHiiec7yB4xTSeMkL23g3uHGzWW0T6hhaRwxpz3if6qwpDOHAeSdWo/ui3+h1GXukZi0e8z4gnlZw4d/g7gzwHm9XjZpCThDYlx89S8xlX+B1GXoaV90yBCtqmU96t9OxDK+drDjtRjSe+y2looWFELbSIDN+hEgAAAC4r75mJAQDeC+HAbFgY0ZjSs45W+/IHRlymb9t69e54U4nm8fZ3QAVbqAR3DrZ9FWwBbH+4X77WaJUskqze979wHcfjLZPU8pZ/ULyx1e9Q8qqZf4K61jyr9hf/esh9LW//sGI1jcOuF+QWkZYL2BzvIJiPvX7JW9W2/C/q3by2wJJ+VbBZaBFZ4DvfiMbUeuE/q3vDSnW9/qJkmkrPWKSq1mluRRloBhVsAAAAsIAEGwDAVeXeMshvNXOOzZtgk/qr2BLLLvAoIvgl7HOw+Xqs8KSCrbgWbX5KtExU7+Y1fodh2YQPfjXQSaj9DMNQy9s/ovSMxdr77B9k9vUqVt+ihqXvVNXY6SOvWMEVbEE+pUg0j7eQYPNJkS0iB0tOmK3khNlFBhQ+RsxCgi2Yh3AAAAB4iAQbAMBlAR4N81oJRgZTUxfKqErL7OkccZmOFU+o0UGCrdDV7AiWoM7BJotzsPnLg1FRSx//YI7O1i85R+0v/MXvMCwLQ3JtPyMSVc3841VTYD62IesEOctU6jnYAswM6OdXsvie4Ts/LysJtlC0RAYAAEBJhefXKAAgHMpwEC1IjFhc1TOPyrtM7+a16tu9xaOIykjI3rpmb0BbRAZ9wJFjVEGJMVP8DgGDhSiBOCLHn7uQf179Cj8SLbxMQCtog8JSgi0T8O87AAAAlFwZ/FoDAARKpQ6ieah69rEFl+lY8YT9DXM1e6gEtYItDAOO8aZxHuzFSgVJ6aNwwohEVT2n8HGmEjWdfoX3Ow10i0hrHFcZlkNy0Qc1c4/Le78RjSsxerJH0YRTxMIcbGam14NIAAAAEGT8YgEABERAR5oDKDX9CBnxZN5lnCXYeA3CxOwLaAVbbn+LyOC+nxpPvLjk+wh0Wz8LEqOn+B1CIKUmzfN8n4FugVnBLSKD/J0Zq29RrH70iPdXjZ8lIxb3MKLwMaKFnx8SbAAAAAjwrzUAQBgFeiCwTETiVUrPODLvMj1vvqrM3h32NhzgwUJvhGsAOBfUBFvG6hxsJXi+LW4yOWl+wSQ1yl/DsgttLV975BmqGju9RNHkEejv1RIn2EKfmPMv/lHnXDPse8eIJzXqrPf7EFG4GJYq2IJfsQ0AAIDSCvKvNQBAGIV9LMxVpXsyqucsLbhMx0p7VWxmxSfYwsXsDWiLyKDPwSYpVtuolrd/eNj7ahaeovSsJZ7EYQa4yq8SVM85xtJcVZFktRqOv9C/pESQE2yWv+Y4OfBaetrhan3XZ5RoPZAUTk5ZoLGX/SvtIS2wNgcbFWwAAACVLuZ3AACAMhPkgcAykp6+SEYskXdwp2PFE6pf8lYbW2Ww347kpPm+7j+4FWzBT7BJ/XMUxd/fqt2P363Mnu2KxBOqXXSmqmcfoy13fcWbIAKU1I6kav0OwRXV849Xx0uPWFq2qnWaRp31AW3/v9s05PgXiWnM+Z9UavJhMrMZGYmkIvGq0gRsQbCLuKwF57S6PeytVv2WnrFYqemLZPZ1SzIUSVC5axUJNgAAAFhBgg0AgBCKVKWUmna4Ol/9+4jLdK9/RZn23YrVNFjbaIAG+8MgWl3n6/77B0yD58AcbMFkDEoIVLVO05jzPnnoQmbOhR2FKzFQPfuYoTeELP796o48M2+CrW7x2UP/XnSmkpPna+/T9ynX3aloTYPqj3qLYnWjSh2qDcF9LSwnwBy/n4L72MPCMAwZiZTfYYSOlQRbLiQXlAAAAKB0SLABANwV0kHZMKqec2zeBJtkqnPl31S3+CxrG6z0BFvI3rtm0CvYQvx2Mt1IsIVIJFmjhuPO8zsMVyTHz1Ji9GT1bn390DujMdUuPOWQmxPN4zXqTOakKqmKnYMNYWXE4gWXCUvFNgAAAEqHPl4AAJcxGOaV9MwlUiT/tTK25mGr9ASbbf6+13O9AU2wZS1WsAX5UOHKZ8HCA/TpMze4MiMxZqpa3/VZxRtbfYnFbUYsrjEXfVrxprFDb08k1fLWD6lq3AyfIitCOSSZyrF9tJXPbzm8dhXKUovILC0iAQAAKh0VbAAAVzFfyiAlfiqiyWqlpi5Q15pnR1yma92Lyna2KZouPL+SSYLNHp/f60GtYJPVBJtfrLxubnwWAnoorF/6TjUcc6769myTEY0pMXry8MftEB/L4w1jNOHqr6vj1SeV2bVFRrxKNfOPV7RM5pkLFIvvE8fnBoF+H/KdWc6svGfNPhJsAAAAlY4EGwDAfUbEwRxGQR5EC67qOUvzJthk5tTx6pOqO+I0C1sL6GChhWRHNFDzJXklmK+XmS2Dllll3CLSMAxFq+sVra73O5SSMiJR1cxZ6ncY7gh0kok52PLhoqPyRotIAAAAlGGvDgAAKkf1rKMLtt7qWGGxTWSIK9hq5h/v/U4ZOB1WOQw4ejcHm/efOeuVqry/g6MMXgunLSID/NBjDWMKLpOastCDSOAXWkQCAACABBsAwH0kHjwTTdcqNXl+3mW6XluubHdH4Y2FOMHmByPII78+OjAHW4jfT17NwQZYEeS3ktXve8ePIbgPPlJVXXCZUM75B8vizeP9DgEAAAA+I8EGWPTkk09qzpw5uvHGG/0OBQg+Emyeqi7UBi2XUeeqpwpup+LnYLP7vuV9PjwzJzOXtbBggJ8/rz4LPnzkaFkXRuF/zQyHFWzhf7+GPf7Klp65JO/9Dce+w6NIAAAAEFQk2AALtm7dqs985jMMPgMWUdmznzfPQ3r20QX3Za1NJMc4uONAFVs4udIi0lJiwPvPXNVYKmrCJthJplLPwRZcZfiQcJD0jEUj3mfEk0pOmONhNAAAAAgiEmxAAZs3b9aVV16pN9980+9QgPBg1MlTsZpGJSfmH+TpWvuccr1d+TfERQRwiX/zsLl07MkVn2AL5IUGkZhS04+0tCiHcVhh/X3i8A3FGxE+qj3ydKVnHzPsfS1v/4ii1fUeRwQAAICgifkdABBkjz76qP7pn/5JO3bs8DsUIFwYEPNc9dyl6n7jlRHvNzO96lz9jGrmLRt5I25U7VSScnqfu/xYwl7B5lWy2fS4gq124cmKxKtKtv1xV9yktmf/pFymR/H60dr77B+U62ov2f4QBFYr2Jxe1xn24ywXroSZYUQ05p2fUNsLD6ntuT/JzPQp1jhGDcedryTz6wEAAEAk2IBh7dy5U1/84hd1//33S5IWLFignp4evfrqqz5HBoRF2AfEwqd69rHa8Yf/ybtMx4on8ifYKp7d9y3v8xFl+4LbVtlCMtGV2AP29kjPWKzms95vYw37DyA5fpaS42cN/N25+in1kmArXpCT+RZjc9zmMsiPPWgfcpSEEYur7sjTVXfk6X6HAgAAgACiRSQwjFWrVun+++9XLBbTBz/4Qf3kJz9RQ0OD32EB4eFkQCzQg2ilV7Pg5KLWj9U1q2rczLzLdK5+Rrm+nhHvd2XeqUpSVm9ZtyvYLLSIDPJnvsw+C5FkjVov/pwisYS3+62q9nR/5SvAnxWryjLBZl/D8Rflvb9qwmyPIgEAAADgBhJswDCi0aje8pa36Le//a2uu+46JRLeDkgBoVdmA2JO2bliPz1jUdH7q567NO/9Zl+3utY+l2eBgFYcBVYZvc9dfihmJuwtIj1KsHn0kSs0R+OwXDiOF0omwKJyONQ4fD+F/qEf9L1a6Ls+PeOoUkYDAAAAwGUk2IBhHHXUUfra176m6dOn+x0KEEpGJOp3CKFTPfuY4rcx59iCy3SseGLkOys9wWZ7JDf0Q78DDNcr2IKcYPOoRaSl59Sjz5xPx+TkhFkyPK6aK08BPtZYTZyV44U3Dh5T1biZqh6hVXO8aZzqF59VbFQAAAAAPMQcbChLe/bsUVdXl+Xla2pqVFNTU8KIgMoSTdcp19XmdxihYkSL/0qON4xRYsxU9W55bcRlOlY9JTPTJyMWH+beCk+w2VSO48VusdQiMsjcqGAL0BvEr4seIomUWt76IW39zdd82X/ZCNB76VBW52BzeF2n0/UCyjAMtbz1Q4oma9T2/AMDx8r0jMVqPuMKRZK0VQUAAADChAQbytJNN92kX//615aX/8hHPqKPfvSjJYwIqCzRdJ36drzpdxgVqXru0rwJNrOnU13rlis9Y/Ewd5Jgs6WsBn59mIMtyLz6LHi0H0cJNpeSOjWHnSBFItr66/9yZXuVKMjpNcvBOZ6DzdlqnnD4+Y0kkhr1ln9Q40mXKNu5V5F4lWL1LS4HBwAAAMAL5TQyBAAIiGh1vd8hVCwrbSLbXxm+TaQ7bfHCy+02ia5wobLRErfnYAtyi0hLnRs9moPNKz637a2edbSv+0cplbpFZACPyy6JpuuUGDWB5BoAAAAQYlSwoSzdfPPNuvnmm/0OA6hYkXSd3yFUrETzeMVbJqlv2/oRl+lc9aTM7NWHtqUMbIItqHGVXiRepZwnySqXK9gy4a5gM3Pl1iLS52vq/N5/2AXovXQww/IcbM7eA9Vzl6pr7XOO1i25AL8uAAAAALzBr10AgOuiaSrY/FSoii3X1a6u9S8dekdgE2yFWR7kdXenpd9FrKrk++jfkdstIgNcwWaFC5+FqjFTCy6TsLCMK3yuYCuvdqp+CH8ix+kxulD1Y3rmEkfbBQAAAAA38GsXAOC6KBVsvqqx0CayY9g2keFNsPnDgwRbPFHyfZRC+OdgK76CLd40VrG6USPeH60bpUTzuKL3Y4WjOdhcfH/7kgAvJ+Xw/DlMskbTdao98ozh74xEVX/suUUEVXp8qwIAAADljQQbAMB1zMHmr3jLJMWb8g/cd776N5m57NAbQ1zB5g6bg9gejHlHQppgUzYT6veT6dIcbA3HXzjifY3LLnBlH5b4XcGGIgU4weZB8m/Ume9XzWEnDknSRdJ1annbh5WaNK/k+wcAAACAkTAHGwDAdVSw+cswDFXPOVa7H/vViMtkO/aoe8MKpSbNH7jNDHFCxA+GFxVsYW0RGeg52Cw8Vpc+C3VHnqFsxx7tfuzXMvu6+/cer1LD0vNUt+hMV/ZhhaMKtgDndBAkpZ2DTZKMWFyj3/ExNZ5wkXq3viFFIkpNXahI3KPjIwAAAACMgAQbAMB1VLDt42Nbr0IJNqm/TeTgBFuYK4584cUcbB4NILudLLTUIjLIbe9c/Cw0Hn+h6hadpe4NKyRJyQmzvb8IIULTilAL8EfFcn7Nhc97vGlcwerswOF7FQAAAChrJNg8kMlk9Nvf/lZ//OMf9fLLL2vHjh2qqqrS5MmTddxxx+niiy/WxIkT/Q7TdZdffrmefPJJnXfeebr55pttrfvyyy/rpz/9qZ588klt2bJFhmGotbVVixYt0gUXXKBFixaVKGoAboimSbD5LdE6TbH60crs2TriMh0rn1DzmVfKGKgscKctXmgFcBDbiIWzRaSZzfi1Z3e24lKLyP2i6VpVz1ri6jbt8HsONhQryK+F5QxbacPwQzk+JgAAAAC2kGArsRdeeEGf+tSn9Prrrw+5va+vTy+99JJeeukl3X777bryyiv1sY99TLFYebwkP/7xj/Xkk0/aXi+Xy+krX/mKfvCDHxzSqmzt2rVau3at7rrrLl144YW6/vrrlUql3AoZgIsiqRq/Q6h4+9tE7vnbb0dcJtu2Uz0bVys5flb/DUG90N5KazHDhzmmPBhc9awFmssPxb8EmxVWWkSWWbKZOdhCzY3qr5KxGlsRLSIBAAAAIKjKI5sTUI8//riuueYadXd3D9yWSCQ0Z84cJRIJrV69Wrt371ZfX59uu+02rVixQt/+9reVSITzavX9Hn74YdsVa/tdf/31+uUvfznwdyqV0uzZsyVJK1euVFdXlyTprrvu0o4dO3TLLbco4lHbozvuuMOT/QDlwFm1BNxWKMEmSR2vPD4owRbMpEKsYbQiVWnlejpHXKb28FM8jGi/8mkR6fZj6Z+DLagZWwvKrK2bk2NyoJM6CJ+KfT+V17EEAAAAwFBcSlgimzZt0sc//vGB5FokEtE111yjxx9/XL/4xS9055136tFHH9WNN96odDotSfrrX/+qm266yc+wi/bAAw/owx/+sPr6LMy9cpC77757SHLt8ssv1yOPPKKf/exn+tnPfqZHHnlEV1xxxcD9Dz74oL7//e+7ETYAlKWq8TMVrW3Ku0zHiicGKoaDOgxoGBElJ80b8f5obbNiDWPc2FNJF3fCiHt00Y3Lg9+W5mArBZfexAdX0YcdFz2gVKzO31ieCdtyfEwAAAAA7CDBViLf/va3tXv37oG/b7rpJn3iE59QTc2BtmmxWEwXXnihvve97ykej0uSfvKTn2j58uVeh1u0XC6nb37zm/rQhz6knp4e2+v39PToq1/96sDfl156qa6//vohz1dNTY0++9nP6pprrhm47bbbbtPevXuLCx4ASsbfwTfDiKh69rF5l8ns2areza/1/xHQCjZJaj7zquFbjxoRjT73oz4N3pZ2n/GmsYqU8RxsVgfm3WbprRLgz4IjJNjCLcjtFS1/jElGAQAAACg/Af61Fl5dXV36zW9+M/D3O97xDr3zne8ccfnFixfr8ssvH/j7tttuc7Tf7u5u7dixw/LymzdvdrSfg61Zs0ZXXXWVvvWtbzm+4vu+++7T1q1bJUm1tbW67rrrRlz22muv1bRp0yRJe/fuHVL1BgAYqnpu/gSbJHWseLz/PwGu2ok3jNG4y/+fqucs3TfYbCg5ca7GXvovSk1Z4Hd4JRGtbvCwRaS7fKtgc0uuvBJshoN22lXjZ5cgEjgS6NyU1TnYAv0gAAAAAMAREmwl8PTTT6u3t3fg76uuuqrgOhdeeOHA/x966CG1t7fb2mdvb68+/OEP633ve5927txZcPmvf/3rOvfcc7VixQpb+xksk8nohhtu0LnnnqvHH3984PZTTjlFZ511lq1t3XfffQP/P+uss4ZUrh0sGo0Oeb4GrwsAGCo5YY6i1fV5lxloExngBJskJVomacwF12na536haZ+/S+Pee4NSUxf6F5AHA8aeJdjcbhGZKVzBVhqu9Yh0ZztB4aCCrWrcdEWSI5+PAZKsHzuCXIXnFDlDAAAAoOKV4S8d/73++usD/6+rq9Ps2YWvAJ4+fbpSqZSk/mTZ888/b3l/uVxOH/vYx/TII49o1apVuvLKK4e0pzzYd77zHd1yyy3as2ePrrzySr322muW9zVYZ2en7rjjDmX2DaJVVVXpn//5n3XLLbcMzCtnhWmaevLJJwf+Pu644wqus3Tp0oH/P//885aSigC81XDc+X6HAPXPvZSedUzeZfp2blTftjfKbt4p22wmmbwYW414VsHm8qPJZYI7qZ+Fx1punwUnc7AZRkQNx51XgmhgX/gzOWU5B1t5HSYAAAAAOECCrQTa2toG/t/S0mL5B2VdXd3A/1955RXL+4tEIpo7d+7A3ytWrNBVV101JI79vv/97+trX/vawN9jx47VqFGjLO9rJKeeeqp++9vf6v3vf78iNtsQbdiwYUjF3uDHMpKZM2cqGu0fLDJNUy+//LK9gAGUXPW8ZX6HgH2stIlsX/G4GC20qdQVGYYhw6s52Fwe+zYzQW4RaeF9XnZzsDl7r9Yf+w7VH3uuFI25HBBsKYfkVDk8BgAAAAA4CAm2EthfiSZpSKvIQjo6Ogb+v2nTJlv7vPbaa/XBD35w4O+XXnpJH/jAB4Ykru644w79x3/8x8Dfs2fP1v/8z/+otrbW1r72i0QiOu200/TTn/5U3/nOdzRlyhRH21m3bt3A/w3D0IQJEwquE4/HNWbMmIG/169f72jfAEonMXpyebaEsiMg44mpSfMVSeVv9dax4onya4tXah68vkbcowSbyyzNwRbkAfcy+yw4qWCT+s/Lmk97nyZ9+DsuR4SyUcktIgEAAABUPH7plEBra+vA/zdu3DhsJdnBDq7i2rZtm+39XnfddXrf+9438Pdzzz2nq6++Wl1dXfrf//1f3XDDDQP3TZ8+XbfffrsaGhps72e/mpoa3XLLLVq0aJHjbUjS9u3bB/7f0NCgRMLaYGJzc/PA/508XwBKyzAMjX7nx/0OA5KMaEzpmUfnXaZv23r17drsUUTlonzmYDNcfiyWEmy+sfJYyy3BVlwFWqy2yY0oXNgGgsdqgq0MX/8yfEgAAAAA7CHBVgJLliwZaAuZzWZ19913F1znt7/97ZC/u7u7He37c5/7nC655JKBv5966ildeOGF+uIXvzhw25QpU3T77berqcmNwZLi7dmzZ+D/dqrpamoOVGNYSWIC8J5n7e1QUI2FNpG5zr0eRFJGPBgwjnjWItLtBFvG1e1Z37E7ibHkxMLtqkPFYYtIV5VjgsUjgZ6/zHJ+LQDvQQAAAABwGb90SqCpqUknnnjiwN9f+9rXtHr16hGXX7Vqlb773e8Oua2np8fx/r/4xS/q/PPPH/h79erVMvcNOE2YMEE//OEPNXr0aMfbd9vgx5pMJi2vN7jSrZjnC0AJlVmbtTBLTVkooyrtdxiwyasKNreZmYwCWwVmIVlRf+w7PAjEO05bRLochN8RhFeAE2yWq1+D+xBKi/MgAAAAoKzxS7dEPvaxjykej0uS2tvbddlll+nuu+9WJnPgiu5cLqd7771X73nPe9TZ2Tlk7rZo1PlAiGEYuvHGG3X00UPbgcViMX33u98d0sIyCPr6DrSRiti4wnrwczT4eQWA4AjOiKIRi6t65lF+hxFsNgexvagqMWIeJdhcr2ALcovIwpKT5ilaXe93GO4JRILN7wDCLMhPXiXPwRbk1wUAAACAF8rxl04gzJ8/X//yL/8yMPi2Z88effrTn9bSpUt12WWX6d3vfreOO+44feITn9Du3bu1ePFiXXzxxQPrW52HbCQPPPCAnn322SG3ZTIZffWrXw1cMmpwoiyXy1leL5vNDvx/fzITQHgFugVWmaieU7hNJOzwoEVkWCvYfGoR6VatSDRZrdHnX1c2bW4NF1pE1i0+O+/9har+aBFY6fiOBwAAAFB++KVbQhdffLG++tWvDplXbO/evXr66af11FNPadeuXZKk8847T7fddpt6e3sHlquurna834ceekgf//jHByrDBiew/vSnP+mf/umfhiSn/Da4LaSdVo+Dl62qCucAJAB4KTXtCBlx66144T8j7lWCx+XB75BXsElSatI8TfzQLWo47jxVz1ummoWnatwVN/kdljMuVLAlJ87Je39q0vz8G+AiCueC/NxZnoMtwI+hpGgRCQAAAJSzmN8BlLu3vvWtWrp0qX7yk5/owQcf1Pr169Xb26vW1lYtWrRIF198sY444ghJGki4SdKoUaMc7e/RRx/VRz/60YHkWkNDg/7nf/5H3/zmN/Xggw9Kku69914lEgnddNNNtloylkp9/YEWTO3t7ZbXG7zs4G0ACJCKHVALpki8SukZR6rjlcf9DgUWedci0t3NmZnwJ9gkKVbbqKZT3uN3GEVzYw626rnHKfX8g+p67flD7kvPOlqpGUcWiqLoGBBEldsisnKThgAAAAD2I8HmgaamJn3kIx/RRz7ykbzLrV69euD/Y8eOtb2fJ598Uh/60IcGKrvq6+v1gx/8QPPmzdM3vvEN/eM//qMeeeQRSdLdd9+tRCKhf/u3f/P9x+Ho0aMH/r97925ls1lLc9Dt3Llz4P8tLS0liQ0Ayk31nKUk2EZg2E0AePD9GQlpBZuZzUimD5UbfuwzDFxIsBmRqEaf90ntevhnanv2TzIzvTLiSdUtOlONJ7yrcAtIkhHOBfm5sxpbkB8DAAAAADhEgi0gurq69Nprrw38PXv2bFvrP/PMM7r66qvV3d0tSaqpqdH3vvc9zZs3T1L/nG7f/va3dfXVV+uJJ56QJP385z9XVVWVrr/+epcehTOTJ08e+H82m9XGjRs1ceLEvOv09vZqy5YtA39PmTKlVOEBgHMBHFBMz1gkI5aQmektvDAKKPXra8hgDjb3BfBzWWpuVLBJUjRVo1Fnvl9Np7xHZl+vjHjC8jyBhmHQLM+h1JQF6njpEb/DKE4Ffu4k0SESAAAAKHPl16sjIEzT1M6dO7Vy5cohc6uN5LHHHlMm0z8YFY1GNX9+gXksBslkMvrnf/5ndXZ2SpLS6bRuu+02LVy4cMhyyWRS//3f/62jjjpq4LY77rhDTz31lOV9lcKECRNUV1c38PfKlSsLrrNq1aqBeeQMw9CsWbNKFh8AlJNIIqXUtCP8DqM8eDBebERjnrRWc7ua3bQyB1ulDrj7waUE28Dm4lWKpmstJ9cklWWLQK9Uzz7G7xBGZvFz7HfHDAAAAAAoBX7plsiyZcu0dOlSnXvuuVq+fHnB5e+9996B/x955JFDEk6FxGIxfeMb31B9ff1AEm3x4sXDLptKpXTrrbcOzPv26U9/ekjCzQ+GYQyJ4bHHHiu4zuBlZs+ercbGxpLEBgDlqHrOsX6HEEy2x3+9GTD2porN5QSbT3OwRRLJgsukKzDBbARgzl0Sqs5FU7WqOexEv8MYluXWurz+AAAAAMpQAH5tl6fBLR4feOCBvMuuX79e991338DfF1xwge39zZs3T9/73vd0yy236Jhj8l/lur995Je//GVdddVVtvdVCmeeeebA/++55x51dHSMuGw2m9Vdd9018PdZZ51V0tgAoNykZx4lRegSXTSPBoxtVQk55fZDMXMyzZzLGy3MiMaUnDRv5AUiUaWmH+ldQAHhVovI4oIgwVKMUedcE+7qYyoYAQAAAJQhfumUyBlnnDHw/5///Ofatm3bsMt1dXXpk5/85EB7yAkTJuhtb3ubo30uXLhQy5Yts7RsbW2to0ReqZx99tkDVWi7d+/Wl770pRGX/frXv65169ZJ6m97eeGFF3oRIoASizWM9juEihFNVis1dWHhBZGX5cqNYvcTT3iyH9f5NA9bw9J3aqSMYf2Sc7xJWAZNABJstAgsTiRepbGX/ovGXXGT36EMZfVlLcPXPz1j+I4hgyVGTy64DAAAAIDwIsFWIu985zs1enT/YHFbW5ve//73a/Xq1UOWWb58uS677DK98MILkqRIJKIvfvGLSiRCOpBWhFQqpY9+9KMDf//mN7/Rddddp507dw7c1t7erptuukm33nrrwG1XXXXVwPMMINwiiZTfIbguyMOJtIl0QakHjPdt3oh5cV7g/mPJ+dQmMj1jsUad/QFFqtIHbjQiqj38VDWderkvMfktEC0iA31EDI/k+FmKN4/3O4xBKncOtlhjq6K1TSPeXzV2uiJV5XduAwAAAOAA+kOVSDqd1o033qhrrrlG2WxWK1eu1Nve9jbNnDlTDQ0N2rRpk954440h63z605/WCSec4FPE/rvsssv01FNPDcxH97vf/U7333+/5syZo2g0qpUrV6qzs3Ng+SVLlujDH/6wX+ECQKhVzzpa2+/9b8mHNn7BZXMAuKxaRJbgsWQLJdhK9/zVLT5bNfNPUOe65ZJpqqp1muKNrSXbX+AFoSUsLQLdE6RkldVYyvD1NwxDzWdcpa2/+s9D74xE1XT6+7wPCgAAAICnyu+XToCceOKJ+sY3vqHa2lpJkmmaevXVV/Xkk08OSa41Njbq//v//j9dccUVPkUaDIZh6Ctf+Youu+yygatce3t7tXz5cj377LNDkmtnnHGGbr31VsViARgwAoAQiqZrlZpymN9hwAIjpC0NTZ9aRO4XSVarZs5S1cw9rrKTa2IONgRAmb7+NXOXquVtH1asbtTAbfHm8Rpz/nVKTZrvY2QAAAAAvEB2osROP/10/eEPf9BPfvITPfTQQ1q3bp06OztVV1enWbNm6dRTT9X5558/kISrdLFYTF/4whd0/vnn65e//KWeeOIJbdmyRZlMRi0tLTriiCN0wQUXWJ5rDgDCwZ+Bx+rZx6rrteW+7BvWGTEvEmzuvwfNghVs8EwQWkSWaYKl4lmuYCvf17/28FNVc9gJ6tu9VZKheOOYYCS1AQAAAJQcCTYPNDU16SMf+Yg+8pGP+B2KZ26++WbdfPPNjtdfsGCBFixY4GJEABBcDce905f9pmcfLd33XUmmL/sPHLsDwB4NGBvxcM7Namb8rWDDAUEY7C/HObhgnVHmc/AZ0bgSgZobDwAAAIAXAnA5KwAAZcrigHLt4aeVOJDhxWoalZw015d9lwfmYMuHCrYACUCCrZwrmCpb5c7BBgAAAAD80gEAwGfxprG+7bt6zrG+7TvsvMoXGLHSV7CV4qEUTLCRb/GMEYQWkbzg5cnqy0qCFQAAAEAZCsKvbQAAKlaidZqv+6+eTYLNOa9aRIa0go0WkcFBBVt5CdBzabn1Y4BiBgAAAAC3kGADAJQOA2qBF6trVtX4WX6HEU4evb8jYZ2DjRaRgRGIOdgCUUUH11k8Dhq0iAQAAABQhvilAwBAhaNNZLAZMQ8q2EpRjZfLur9NOBOI5AYXXLgnhM8lF9wAAAAAKENB+LUNAECZCseAIgk2h0o+YNy/fW9aRJZ+F/BJJCojCMmNIMQA//D6AwAAAChDJNgAAKhw8YYxvs8FFwi2B4DD2SJy1FuuHuZWPwa/GXD3QhDaQ0oKSBUdXGf5uMnnHQAAAED54ZcuAACgis0Jj8aLjZi7CbbkpHnD7ITB77IVkLnPeIu5J1jPpdU52AIVNAAAAAC4Ihi/uAEAgK+q5yz1OwSMwM0WkQ3LLlBi1ATXtofgC0wFGz87ypPlAjZefwAAAADlh186AIDSMU2/I4BFieZxSoye7HcY/spmba7gTUVGMQm2/etG60ap+cz3q/HEi90KC2ERlAQbFUxlyuLryusPAAAAoAzF/A4AAICyFbLxxKZT3q3NP/uy32H4xsz22Vq+5C3P9m0/4jDBFq0bpUkf+e9Bmxs5Xtq3la/AVLBRweSi4HxeLR87OMYAAAAAKEP80gUAAJKk9IzFalh2QcUOhJvZjL0VPBowdjoHm6H+we/9/wov7TUG3D0RkAQbSdzKZlTo9woAAACA8kYFGwAAGNB08mWqnnucOlc9pV0P/dTvcDxlO8EW9BaRJDQgyYgEJLHB+7FMUcEGAAAAoHIF5Bc3AAAIiqoxU9R4/IV+h+E5uy0ivRKJO6tgszWgzdh32QpOi0jeZO4J0HNpNRRefwAAAABliAQbAAB+Mk2/I8A+ZsZmgs2zFpEOK9hsDcIz+F22SLChpKhgAwAAAFC5QtEiMpvNauXKlVq3bp02bNigPXv2qKurS5FIRNXV1aqtrdXkyZM1depUTZs2TZGgtMIBAFQ4BhTDxMwFtUWkFxVsvFfLVVBaRDIHV5myfOzgGAMAAACg/AQ2wbZx40b94Q9/0AMPPKDly5erp6fH0no1NTVasmSJTjjhBJ1zzjmqr68vcaQAABSBxEZw2JyDzauXzvEcbAHHW98jkYCc7vOCuyeEz6URwpgBAAAAoJCA/OI+4K9//avuvPNOPfzwwzL3tc0yB7XPGunH2f5l2tra9OCDD+rBBx/Ul7/8ZZ1yyil673vfq6OOOqr0wQMAgNAyMwGtYIvG9+3LXjtRKoYgMQcbSo3XFQAAAEDlCkyC7a9//au+9rWv6ZVXXpHUnzAzDGNIcm3/7YXsX7evr09//OMf9cc//lFHHHGErr32Wi1durQk8QMAgHCLt0y0t3zT2BJFMpRhGDLiVTL7um2uaGsn9raN8AhIi8hoTaP9lYyIZObcDwYAAAAAABf4nmBbv369vvCFL+iJJ56QNDSBlkwmddhhh2n27NmaPXu2Zs6cqfr6etXV1am2tlaRSERdXV3au3evNm7cqA0bNuill17Siy++qBdffFGZTGZge88995yuuuoqLVu2TJ/97Gc1ffp0Xx4vAABDWLhwBN5ITz/C8oC+EU8qOXl+6YMa2F/CfoLNXobN5rYRFkGpYKtf8jZ1vPSIjTUMNZ16uXb++YcliwkuIDkPAAAAoIL5lmAzTVO33nqrvvOd76i3t3cgEdbU1KS3vvWtOumkk3T00UcrkUjk3U5tba1qa2s1fvx4LVmyROedd54kqaOjQ48//rjuv/9+/elPf1JXV5ck6dFHH9V5552nq6++WldffbViMd9zjACAcsXAY6hEEilVzzlGHa88XnDZ2gUnlTxxMfjdE4klZLuOx8b7j7dqGQtIgq2qdaoi6TrlOvcOe3/tEacrVteszJ7tMhJJ1S06U4lRE0iwBRyHDgAAAACVzJfs0ubNm3Xdddfp6aefHkisLVmyRJdeeqnOOOMMxePxovdRXV2t008/Xaeffro6Ozt1zz336Ec/+pFWrVql3t5efetb39JDDz2kr33taxo3blzR+wMAoNwYsYTMTK/fYXiq5a0fUt+uLerdvHbEZVJTF6r5jCs9jEoy4lUOVgr60HfQ4ysPRkBaRBrRmMac/yltuvNLh1SJVo2druaz3q9ILP+FdQigwB9nAAAAAKB0fEmwveMd79DevXtlmqYWLlyo6667TkcffXTJ9pdOp3XRRRfpoosu0kMPPaSvf/3revnll7V8+XKdd955+tvf/layfQMAkFeAByebz3q/tt/znRHvrz3idA+j8UakKq3xV/27OlY8oZ4NKyX1zx2V6+mUTFOpqQuVnHyYDI9fN0cJNlpEQpKMYFSwSVJq8mEaf9V/aPdjv1Lv1nVSJKbaw05Q3eKzSa7ZEajvjSDFAgAAAADe8iXBtmfPHo0ZM0af+tSndO6553q675NOOkknnXSS7r33Xv3nf/6nNm3a5On+AQAIi9SUBVI0JmUzw96fnn6kxxF5wzAiqpl7nGrmHud3KAMMB8kHW2PwgRqwh5uMaHASbFJ/q8gx53/K7zDgFg4dAAAAACqYLz1jPvjBD+q+++7zPLk22DnnnKN7771X//AP/+BbDAAAaF+r5CCKN4zRqLM+MOx9tYefpvTsYzyOqHJFHFWwBaM1IPxV6rkCAQAAAACoVL5UsH3qU8G4ajWZTOoTn/iE32EAABBYdUeeoXjzeO154jfK7N2hSCKpusVnq3ruUs/bJFacQc+vEXfQPo/XB5JEgq0MBemzHaRYAAAAAMBbviTYAABAeKQmzVNq0jy/w6hozuZgs7MDHwbJSQB6ggo2lBSfYwAAAAAVjN5BAAAAARdxMAebzUnY7G8f4RDhdB8AAAAAgFII5S/uXC6n9vZ2v8MAAKB4XP0PC5xUsNlq4cnbsGwZBhVs5SZIXxu0CgYAAABQyULRIvKZZ57R/fffr7///e9644031N7eLsMw9PLLLw8s88lPflLjx4/Xe9/7XrW0tPgYLQAANpim3xEgoIxE6sD/HbWItD7wbZBhK1+0iERJcewAAAAAULkCnWBbt26drr/+ej399NMDt5kjDEQ+/fTT+r//+z/9+Mc/1ic/+UldfvnlXoUJAMDwuLIfecRbJqlv2/oR729Y+s6B/0diDhJsvP8gyaBFZBnisw0AAAAAQRDYX9yPPvqoLrroIj399NMDSTXTNIdtQ9LX16dt27ZJkrq6uvTlL39ZN9xwg6fxAgAA2JGasmDE+yJVaVWNmTrwtxF3MAebHSTjADjBoQMAAABABQtkgm3NmjW69tpr1dbWNnBbTU2Nli1bpnQ6fcjy7e3tamxsHEjAmaapO++8U7/4xS+8DBsAAMCyppMuUbx5/DD3GGp5x8dkxOIHbok5SLAZdk7zGCUH4ATHDgAAAACVK5AJts9//vPq6OiQYRiqrq7WjTfeqMcff1zf//731dzcfMjyjY2N+stf/qLPfOYzqqqqGkiyfeUrX1F7e7sPjwAAIEmGrQF+oLJEqtIa+55/U/0x5ypa3aBIuk6pKQs09j1fVPXMo4Ys62gONsa9gfIUpIrTIMUCAAAAAB4L3Bxsjz76qJ577jkZhqGqqip9//vf1+GHH15wvXg8riuuuEKHH364rrrqKnV1damtrU2/+93vdOmll3oQOQDgEMz9A+QVq2lQ8+nvU/Pp78u7XMRJgo0MW1lpOO587X7sV36HAQAAAAAA9gncyOcf//jHgf/vT5jZceSRR+rqq68e+Pvhhx92LTYAAOwwSHDAJU5aRA43b22ehW1vH95KTprndwi+qF/6zrz3p2cf400gGB7HDgAAAAAVLHAJtqeffnrg/xdddJGjbbzrXe8a+P+KFSuKjgkAAMBPzlpE2hn49mGQPKQD85FktS/7TU07QtVzjvVl335KT81/sV2h+wEAAAAAKJXAJdi2bt0qSaqrq9P48eMdbaOpqUmjRo2SaZratWuXm+EBAAB4ruQtIsOZ6/JF0ynvyXt/4wkXl2S/hmGo5e0fUf2x75ART5ZkH0GUnHLYiFVqVWOnq+bwUzyOCENx8AAAAABQuQI3B1tnZ6cMw1B1dXFXB0ejUUlSLpdzIywAAADfGHH7LSIZ9y6N9IxFMqrSMns6D70zGlN69tEl23ckkVLzae9V44kXy+zrUe+2N7Tpx/9asv0FgWFENPrtH9XO2ia1PfdnmZleyYioZt4yNZ16uSIO2qfCPSEtRAUAAAAAVwQuwdbQ0KBt27Zp165dMk3T3vwh+3R1dWnHjh0yDEMNDQ3uBwkAgBUMPMIlTuZgk2GnUQFvVqtidaM0+txrteVX/yllMwfuMCIadfY/qGrMlJLHEIlXSfEqRarSJd9XEESqUhp11gfUeNKlynV3KBKvUrS63u+wIIljBwAAAIBKFrgE2/jx47Vt2zZ1d3fr2Wef1aJFi2xv489//rMymYwMw9CECRNKECUAAIB3nLSItDUDG2UotlTPWqJJH/6O9j59n7LtuxVJVqtu8VmKN7Z6GocRiVpYqHxe22iyWlGf5sDDCMro/QUAAAAAdgVuDrZly5YN/P+2226zvX57e7u+8Y1vDPx9zDHDz9kAAAAQFoaTOdgCP/Ad9Pjyi9U2qenky9Tytg+p+fT3eZ5ckyRFAncqDwAAAABAxQjcr/JzzjlnYP60hx56SN/73vcsr7t371596EMf0vr16yX1X419zjnnlCROAAAArzhKsNlJYAU+GYfhWKpgQ/kJ0uc1SLEAAAAAgMcCl2CbPn26zj33XJmmKdM09dWvflXXXXedVq1aNeI6bW1tuvPOO3Xuuefq73//u6T+5NqZZ56pGTNmeBU6AABASRixuIOVGPgueyTYAAAAAADwTeDmYJOkz3/+81q+fLnWrFkjSbrnnnt0zz33qL6+Xh0dHQPLXXvttXrjjTf06quvKpfLyTTNgTlExo4dq3/913/1JX4AAPqR4IA7DCMiI5aQmem1s5b1RU3TXjzxKjWf9l5tv+97kuytC/dYq2DjOIRS4v0FAAAAoHIFMsFWU1Oj733ve7rmmmu0cuVKGYYh0zS1e/duGYYxkET74x//KHPQgND+5caNG6f//u//VlNTk18PAQAAwFVG3GaCzVZ+rXCSLDF6smqPPFNGNKrq2ccomq7Tjj/eLjPbZ31HcJcRuGYU8ESAkloBCgUAAAAAvBbYX+Vjx47VL37xC1155ZVKpVIjLmcMan8UjUZ17rnn6le/+pVmzZrlRZgAAACeMGL25mEzbCVfCifYkpPmq/6os1V35BmKpuv6b3TSunI/BuZdQPUg/GVY+iDzYQcAAABQngJZwbZfIpHQpz/9af3jP/6j7r33Xv3973/XK6+8ol27dqmtrU3JZFINDQ2aNm2alixZonPOOUfjx4/3O2wAAADXReIJZUu1cSstIoeZ082IxkjxAJXMylyPzAcJAAAAoEwFOsG2X11dnS655BJdcsklfocCAADgC7sVbLYGtR0n2IqoYEPRIolkwWWqWqd6EAk8Fah8FQk2AAAAAJUrsC0iAQAIPQYV4SIjbjPBZmMU3rDQ6jFWN+rQ9aKhuFarbEWq0kqMnpxnCUPp2cd4Fg8wPL4LAQAAAJQnEmwAAAAhEIkn7K1gI8EbTdcp1jAm7zK1h5146C6KmYMNrqhZePKI96VnLVE0We1dMMBwyK8BAAAA/z979x0eVZm3cfx+JhNIJSGhqTRBpCNSxGCjqAgKAuJaUFGU14pl1wLYXRVsr4qKooggIhZUFGTBgqsLRIoiKEVBUEokQAohnZDz/sGbswQCzISZOSeZ7+e6vDzlOef8xqVkzz3P70E1RcAGAABQBRhv8AI2SYo9wkynmg1bKiI24dBHHEOLSMNb94BIOK1/hSFbjfonql7/20JfEELARb93fPhzht/rAAAAAKorR/r6XHPNNSF7ljFGU6dODdnzAAAAgsH/FpH+SepxpQq3/qqibb+WOx4Rm6j6g/5ecU20iHScMUb1+o9UrU4XKO/X7yWrVDVPOFmxLbvJGL5Lh2AjPAMAAAAQvhx5K7J06VKZEKxLY1lWSJ4DAAAQbP4GbP7+DGS8kTr+6seUu/o/ylv3vWRZqnnCyarVpe9h2wwSsLlH1AktFHVCC6fLQAi46v/f+FKKm+oFAAAAgABy9K2IZVlOPh4AAKDK8Pg7g60SL7VNhFfxHXoqvkNP38azBhsQ5nz4c4aADQAAAEA15UjA1rVrVyceCwAAUGX5vQZbCFq3HcsabADCBQEbAAAAgOrJkYBt2rRpTjwWAACgyjKRfgZsoZg1ciwtIpnVAlR5PrWr5Lc6AAAAgGqKlc8BAACqgFC0iPQXa7ABODoSNgAAAADVEwEbAABAFeBvi0gTihaRrMEGhDefZrARsAEAAAConqp9wGZZltMlAADCFS8VEUDGjTPYPMxgA0LOVX+3HL0WN1ULAAAAAIFUbd6KWJalvXv3qri4WHl5eUpLS9PSpUs1c+ZMffnll06XBwAAcEz8DthCgBlsQJjzJT1zVSAIAAAAAIHj2oCtoKBA06ZN05dffqnNmzcrPz9f+/btY0YaAAAISx6vvzPYgt+owEQQsAE4GgI2AAAAANWTKwO2v/76S0OHDtVff/0l6djaPBq+MQkAAKoBE+nfGmyheKdtIlz5oyRQzbnp/9/4sgZb8KsAAAAAACe48q3IXXfdpbS0NEmHBmRl+weHbgePKzvfoUOHYJUJAAAQMn4HbCF4q80MNiDM+fRlRhI2AAAAANWT6wK277//Xj/99FO5wKxjx45q0qSJCgoK9MUXX8gYo1NOOUUtWrRQUVGRtm/frl9++UUFBQX2dR06dNDLL7+sevXqOfVRAABhj5eKCBy/W0SGImDzuu5HSQAh5NOfMnQUAQAAAFBNue6tyIIFCyTtn4EWFxenyZMn27PQ9u7dq9NOO02FhYWqW7euHn/8cfu6wsJCvfjii5oyZYosy9LPP/+sZcuW6cILL3TkcwAAAASSifQvYAtJm2xmsAGh56a8ivAMAAAAQBjzOF3AwX744QdJ+18K3XzzzeVaPEZGRqpdu3ayLEtLliwp1yYyKipK9913n0aNGiVpf0A3duxYFRcXh/YDAAAABIH/a7CFokXkMXxXixfzQDVw9N/HrIkNAAAAoLpyXcC2Y8cOe7t///6HnG/btq0kKTc3V7/99tsh54cNG6Zu3bpJkjIyMjR37twgVQoAABA6xu8WkcHHGmxAmPOtR2SwqwAAAAAAR7guYNuzZ48kqVatWhWun9a8eXN7e+3atRXe48orr7S3Fy9eHOAKAQAIoANmYwNH4vGzRWRIZrCxBhvgAAIrAAAAAHAD1wVslmXJGKP4+PgKzzdp0sTe3rhxY4VjzjnnHHu7olluAACEAm2xEEjubBHJDDYgvPnw5wx/FwIAAACoplwXsCUkJMiyLBUWFlZ4vmHDhvb2pk2bKhwTFRWlxMREWZal7du3B6VOAAACgheP8JHxREge32eMmRDMcjmmNdgAVH0+/R3G33MAAAAAqifXBWzJycmSpMzMzApDtgYNGsj7/+2Ifv/998Pep2xMXl5eEKoEAAAIPY8/s9hcP4ONl+5ApVS1L2ZUsXIBAAAAwFeuC9g6dOggaX+ryO++++6Q8x6PR40aNZJlWfrzzz/tNdsOVFhYqF27dkmSIiIiglswAABAiBh/1mELyRpstIgEwhoz2AAAAACEMdcFbKeddpq9/eyzzyojI+OQMW3atJEklZaWau7cuYecnz17tr2dlJQUhCoBAAgQy3K6AlQhfgVstIgEEGS+tKJlPVIAAAAA1ZXrArbzzjtPderUkSRt3rxZAwYM0NSpU5WZmWmPOeecc+zt//3f/9WKFSvs/TVr1uiFF16QMUbGGDuMAwAAqOqM158WkcGrw3ZMLSIBVEaVi6sI2AAAAABUU64L2GrUqKGbb75ZlmXJGKOMjAyNGzdOb7zxhj3m3HPPVe3atSVJu3fv1pVXXqn+/ftr0KBBGjJkiDIzM2X9/4yAPn36OPI5AAAAAs3DDDYAbkJ2BgAAACCMuS5gk6ShQ4fqsssus0MySWrYsKG9HRMTozvvvNMO4SzL0vr167V27VqVlpZK2t+KpGXLlurbt2/I6wcAwGd8sx9+MJG+z2ALRVu2Y1qDjV/6QOW46u8N1mADAAAAEL5cGbBJ0qOPPqrnn39eTZo0kWVZatSoUbnzl112mW644QY7hCtrCVkWuB1//PF66aWX5PXyzWoAAFA9GK8fM9hCEbAxgw0Ib778OUO+BgAAAKCacvVbkb59+6pv37767bffVL9+/UPO33333TrjjDP09ttva+XKlcrNzdUJJ5yg888/XyNGjFBcXJwDVQMA4IcDZmsDR+PxYwZbaFpEsgYbgKMhYQMAAABQPbk6YCtz8sknH/ZcSkqKUlJSQlgNAACAM4w/a7CF4J02ARvgBBcFVj7NYHNRvQAAAAAQQK5tEemPvLw8e+01AACA6sq/FpHB/zGPFpEAjiYU60ECAAAAgBNcH7AtX75cDz/8sGbPnn3YMVOmTFHXrl1111136YcffghhdQAAAKHjX4vI4DOsdQuEOV/CMwI2AAAAANWTa9+K7Nq1S6NGjdKiRYskSR6PR/37969w7NatW5WXl6d58+Zp3rx5GjhwoB555BHVrOnHt7wBAHAC3+yHH4zX94AtJLNGPMfyoyS/9oFKcdFvHZ/+nHFRvQAAAAAQSK6cwbZr1y4NHTpUixYtkmVZkqQ///zzsOO3bNlib1uWpVmzZmnEiBEqLi4Oeq0AAByT//97DvCFX2uwheCttjGGddgAAAAAAEBYcmXANnr06HKBWmRkpBo1anTY8ddff72uuOIK1apVS9L+kG3ZsmV6+umng14rAABAqPgVsIVqdiTrsAE4IqawAQAAAKieXBewLV++XP/5z3/sdiM9e/bU119/rUcfffSw1/Ts2VMPP/ywvv76a1144YWS9odsM2bMOOLMNwAAgKrE47IZbJJkvMxgA0KrigVWtEIGAAAAUE25LmD77LPP7O2UlBRNmDBBdevW9enauLg4Pffcc+rWrZskqbS0VB988EFQ6gQAAAg1f9ZgC9U7eMMMNgBHQsAGAAAAoJpyXcC2YsUKe/vuu+/2beHsg9x111329pIlSwJSFwAAgNP8axEZmh/zKh2w8dIdCBP8XgcAAABQPbkuYNu+fbskqVatWmrTpk2l7tGxY0fFxsbKsixt2bIlkOUBAAA4xhPp+ww2E6oWkRG0iARCq2oFVmTpAAAAAKor1wVsBQUFMsYoNjb2mO6TkJAgScrLywtEWQAAAI7zbwZb8Ooo9xgCNgBHRMIGAAAAoHpyXcBWNvMsIyND+/btq/R9srKyJP03aAMAAKjq/FqDLVQz2LwEbEAoxTTv6HQJAAAAAAC5MGBr2rSpJKm4uFhLly6t1D1WrVplz4Rr0KBBAKsDAABwjsevGWyhahFZyTXYAFRKbOszjng+uvmpIarEV8xgAwAAAFA9uS5g69q1q7398ssvy7Isv+8xYcIEe7tbt24BqQsAgODw/+85hC//WkS6O2DjlTtQOd742optnXKYs0YJXfqGtJ6jYhE2AAAAANWU6wK2/v3729s//vijHn74Yb9aRT733HP697//be/369cvkOUBAAA4xnj9CNhCFWGxBhsQcnUvulXRJ55S7pjx1lDyedcq5qTODlV1GARsAAAAAKop1/X0admypXr37q2vv/5axhh9+OGHWrVqla6//nr17NlTcXFxh1yTn5+v7777TlOmTNHKlSslScYY9ezZU+3atQv1RwAAwA+8eITvTKTva7AZl89gA1B5nhrROu7Kh1S49VcVp2+SPBGKPfk0RcS6cf1p/p4DAAAAUD258o3IQw89pJUrVyojI0OStG7dOt17772SpBNOOEHJycmKiopSYWGhMjMztW3bNruVZNm/jzvuOP3zn/905gMAAAAEgcePgC1kLSK9zGADnBLVsKWiGrZ0uowjYgIbAAAAgOrKlQFb/fr1NXnyZN10001KS0uTMcYOzrZu3apt27bZYw9co63sm9pNmjTRhAkTlJycHNrCAQAAgsnjlYxHskqdrsRmaBEJ4IhI2AAAAABUT65bg63MySefrE8//VTXXXedoqOjy507eLZamaioKF1zzTX66KOP1Lx585DVCgBA5VlHHwL8P2OMTKSP67C5vUUk01qA8MDvdQAAAADVlCtnsJWJj4/Xfffdp5EjR+rbb7/V8uXL9fvvvysjI0NFRUWKiYlRQkKCmjVrpk6dOqlHjx6Kj493umwAAICg8UTW0L7igqMPdHvABgAAAAAAUIVViTciMTEx6tu3r/r27et0KQCAIKh99mVOlwBUGcbr4wy2ELVlYw02ILx5ouNUWpB72PMJ3fqHsBoAAAAACB3XtogEAISP6OadnC7BQbTOgn9MZA3fxoVsBhsBGxDOYlp0PeL56KbtQ1QJAAAAAIRWtQnYMjMzVVhY6HQZAAA/RSYdp6jjT3K6DKDK8Pi6Bluo0CISCGu1zxwiT1RchecSz7hEETG1QlwRAAAAAISG6wO2goICrV+/vsJzaWlpuvfee9WxY0edccYZ6ty5s6644gp9++23Ia4SAFBZCSkDnS7BYZbTBaCKMV7fZrDJhObHvMrPYGP2JlAdRNZuoAaXjVHN41vYx0zNGCWeOUS1z7ncwcoAAAAAILhc+5Xj7du367nnntO8efPUtm1bvffee+XOb968WVdffbV27Nghy9r/cnLfvn1asWKFbrrpJt1+++26+eabnSgdAAAgaIzLZrAZr2t/nAQQIlENW+r4a8dqb+ZfUmmJvPHJ8kTFOl0WAAAAAASVK9+IbNmyRUOHDtXOnTtlWZY2b958yJhHH31U6enpkvavMVIWspVtjx8/XvXr19fgwYNDWjsAAEAw+RywsQYbgBAyxqhG8vFOlwEAAAAAIePKFpGjR4/Wjh077P2srCwVFBTY+7/88osWLVokY4yMMYqLi9M111yjq666SgkJCXbI9txzzyk3N9eJjwAAABAUvq/BFqqAzZXf1wIAAAAAAAgq170RWb58uZYvX26HZKeeeqpGjBihqKgoe8zcuXMlSZZlKSIiQlOmTFHbtm0lSSNGjNAVV1yhtLQ0ZWZm6ssvv9SgQYMc+SwAnJF07jCnSwD8wDpU8I+va7AZZrABAAAAAAAEjetmsC1YsMDePu200zR16lT16tWr3EuiBQsW2LPXunXrZodrklS/fn3dfffd9v6///3vkNQNwD1iTjzF6RIAP1hOF4AqxkT6FrCFrEWkt5IBG9kyAAAAAACowlwXsC1btszevvPOO1WjRvmXSFu3btUff/xh7/fu3fuQe/Ts2VMez/6P9ttvvwWnUACuVaNeE6dLAICg8b1FZGgYj+saIgAAAAAAAASd6wK29PR0SVJERIROPfXUQ84vXrxY0v72kJKUkpJyyJjo6GjVqVNHlmUpIyMjiNUCAI4d01gAfxivjwGbCc2PecZLwAYAAAAAAMKP6wK27OxsGWNUt27dCtcOKQvYJKlu3bpq1qxZhffx/v/Lnvz8/OAUCgAA4ADfW0QGtw77MazBBgAAAAAAwpDrAraIiAhJUklJySHnLMvS999/X279tcPJzs6WJMXGxgalTgAAACf4PIMtVAlbBDPYAAAAAABA+HFdwJaUlCTLspSZmani4uJy537++Wc7OJOkM844o8J7/Prrr8rPz5cxRvXq1QtmuQAAACHl8XEGW0WdAIKh8jPYaA8LAAAAAACqLtcFbG3btpUklZaW6ttvvy13bu7cuZL2z2TzeDw6++yzK7zH22+/bW+3atUqSJUCAALDcroAoEoxkb6uwRaigM1Li0gAAAAAABB+XBew9ejRw94eO3asNm3aJElatGiRZsyYYbeH7NKli5KSkg65fvLkyfroo4/s/Z49ewa9ZgAAgFAxXh/XYAvRDDFDi0gAAAAAABCGXPdG5IILLtBzzz2nzMxMpaWl6aKLLlLt2rWVkZEhy9o/y8EYo6FDh5a7buLEiZo7d65+++03e8xxxx2nc889N+SfAQAAIFg8Ps9gC24d9mMI2AAAAAAAQBhy3Qy2mJgY/fOf/5TH45ExRvv27dOuXbtkWZa9lshZZ52l888/v9x177//vh2uSVJERIQef/xx1ajh67e8AQAA3M/nFpEhm8FGi0gAAAAAABB+XBewSVKvXr300ksvHdIC0rIs9e3bV+PHjz/kmhNPPFGWZcmyLCUkJOill15S9+7dQ1UyAABASPgasBkTmh/zKr0GW4jWiAMAAAAAAAgG1/b06dWrl84880x99913+uOPPxQfH68uXbqoefPmFY4/8cQTlZaWpn79+mno0KEVrs8GAABQ1fm8BhstIgEAAAAAAILG1W9EatSo4fMaaqNHj1ZERESQKwIAAHCWz2uw0SISAAAAAAAgaFzZIrIyCNcAAEA4MJG+zmAL0RQ2ZrABAAAAAIAwVG0CNgAAgHDg6xpsoQrYjDGEbAAAAAAAIOwQsAEA4CjL6QJQxexvyehLeBaiGWxiHTYAAAAAABB+CNgAAACqEGOMb20iQ5evsQ4bAAAAAAAIOwRsAAA4KoQpCKoNX9pEmhD+mEfABgAAAAAAwg0BGwAAQBXj8bptBhstIgEAAAAAQHghYAMAAKhifGoRGco12LwEbAAAAAAAILwQsAEA4CjL6QJQBRnv0VtEyoQwYKtEi0gTwvoAAAAAAAACjYANAACgivFlDTa3B2wAAAAAAABVGQEbAABAFePxIWAzoVyEjTXYAAAAAABAmCFgAwDAUbTJg/+M14c12EL4S8t4mcEGAAAAAADCCwEbAABAFWMifQnYQvdjnmEGGwAAAAAACDMEbAAAOMpyugBUQb60iAylygVszN4EAAAAAABVFwEbAMBhvGQH/OVbi8jQ/d4yEbSIBAAAAAAA4cV1/Xx69+59zPcwxsjr9apGjRqKj49X3bp11axZM3Xs2FFnnHGGIiIiAlApAACAM4xPM9hCGLCxBhsAAAAAAAgzrgvYtm3bJmOMLOvILbN8HXOw5ORk3XvvvRowYMAx1QkAAOAUXwK2in4OChZmsAEAAAAAgHDjyhaRZcGZMabcPxWNKVPRWMuy7H/K9nft2qX77rtPzz//fAg+CQDg6MJ9DTJaZMJ/Pq3BFtKAzXXf2QIAAAAAAAgq170NefHFFyVJixYt0gcffGDPVPN6vTrttNPUrl071alTR9HR0SooKFBGRoZ+/fVXLVmyRAUFBXa41qJFCzVu3FhFRUXas2eP/vzzT2VnZ9v3e/3113XyySfrwgsvdPLjAgDCXrgHjKgMn9ZgCyECNgAAAAAAEG5c9zakT58+Wrp0qT799FM7LLvqqqt0yy23KCkp6bDX5ebm6u2339arr76qkpIS7dixQ88++6xatmwpSSotLdXnn3+uZ599Vjt27JBlWXryySd13nnnqUYNd72kAgAAOBIT6cPPLqGcwcYabAAAAAAAIMy4rkVkQUGBRo0apaKiIhlj9OSTT+qBBx44YrgmSXFxcbrllls0YcIERUREKCcnR3//+99VUlIiSfJ4POrfv7+mTZum5ORkSVJmZqY+//zzoH8mAACAQHJbi0h5XPedLQAAAAAAgKByXcD20UcfKS0tTcYYDRkyRIMGDfLr+rPOOkvXXXedLMvSxo0b9cknn5Q737hxY91+++32/rfffhuQugEAAELFeH0I2EK4vh8z2AAAAAAAQLhxXcA2f/58e/uGG26o1D2uuuoqe7uiGWrnn3++vb1u3bpKPQMAAMApvrSINKFsERlBwAYAAAAAAMKL6wK2TZs2SZISEhLUuHHjSt2jfv36Sk5OlmVZ2rBhwyHnExMTlZSUJMuylJ6efkz1AgAAhJrbWkSaiEq0iAxlC0sAAAAAAIAAc13Alp2dLWOMatQ4+jezj8Tj2f/RcnJyKjwfFRUlSdq7d+8xPQcAACDUXNcisjIBGwAAAAAAQBXmuoAtPj5elmUpIyNDu3fvrtQ9du/erYyMDBljlJiYWOGYjIwMSf8N2gAAAKoKX1pEhnQGG2uwAQAAAACAMOO6gO2kk06SJJWWlmrmzJmVuscnn3yi0tJSSVKjRo0OOb99+3YVFRXJGKO6detWvlgAAAAHeKLijj6mRui+RMQabAAAAAAAINy4LmA7++yzJUmWZemVV17R6tWr/br+t99+08svv2zv9+zZ85AxH374ob3dpk2bSlYKAMCxsyynK0BV5I1LVGTScYc9b2rGKDL5hJDVQ4tIAAAAAAAQblwXsA0ZMkTx8fEyxig/P1/XXXedPvvsM5+u/de//qVhw4YpLy9PkhQbG6uBAweWG7Nw4UK99dZb9n6PHj0CVToAAEDI1OrS97DnErr0k/FEhKyWys1gC10LSwAAAAAAgEBz3deNa9eurXvvvVcPPvigjDHKycnRfffdp/Hjx+vcc89V69atlZycrKioKOXl5SkjI0Nr167VN998o23btsmyLBljZIzRXXfdpTp16tj37t+/vzZs2GDv16tXT+eff74THxMAAEkhXSYL1UytLv1UkpOh3UtmS1bp/x81ij+lp2qf/bfQFuN13Y+UAAAAAAAAQeXKtyGXXnqptm7dqokTJ8oYI8uytHXrVk2dOvWw11gH9NiyLEu33Xabhg4dah/LzMzU+vXr7ft5PB498MADqlmzZlA/CwAAQDAYY5Tc+xoldOmr/N9XSMajqEatVKNOw9DXwhpsAAAAAAAgzLgyYJOku+66Sy1bttSTTz6pXbt2lTt3YJhmDvrqf926dfXQQw/pvPPOK3d8y5Yt9rXR0dEaM2bMIWMAAACqGm9CXdXq5OyMfNZgAwAAAAAA4cbVb0P69eunXr166eOPP9acOXO0atUqlZSUlBtjWZYiIiLUunVrXXLJJbr44osVExNzyL1KSko0YMAAtWnTRn379lX9+vVD9TEAhFCdvjc6XQLglwO+MwJUWcxgAwAAAAAA4cbVAZskRUVF6corr9SVV16p/Px8bdiwQenp6SooKFBMTIxq166tVq1aKTY29oj36dy5szp37hyiqgE4JapxG6dLAICwY7yVCNhYfxAAAAAAAFRhrg/YDhQTE6MOHTo4XQYAF3Ni7SEACHe0iAQAAAAAAOHG43QBAACEM8MsHlQDtIgEAAAAAADhpkp83Tg/P1/fffedlixZok2bNikrK0uFhYWKjo5WcnKyGjdurM6dO+ucc85RfHy80+UCAACEFWawAQAAAACAcOPqtyH79u3T66+/rilTpignJ8c+blmWvW2M0eLFi/Xee+8pKipKV1xxhUaOHKno6GgnSgYAwC8H/JUGVFmVWoMNAAAAAACgCnNti8jMzExdc801Gj9+vHbv3l0uVKuIZVkqKCjQW2+9pb/97W/avn17iCoFAAAIc5WawUZ/VAAAAAAAUHW5MmArLi7W//zP/+iHH36QZVky/79AjWVZatCggdq1a6euXbuqTZs2Sk5OtsM3Y4wsy9L69et1ww03KC8vz8mPAQDwCS/ZgaqOFpEAAAAAACDcuPJtyNNPP61ffvnFDszq1aun4cOH66KLLlJycvIh49PT0/X5559r6tSpSk9PlyT9/vvvev755/XAAw+EunwAgF/okQhUdcZ4JI9XKi1xuhQAAAAAAICQcN0MtrS0NL3//vv2rLXTTz9ds2fP1rBhwyoM1ySpfv36Gj58uGbPnq3u3btL2j/b7b333rMDNwAA3MgwgQ/VBLPYAAAAAABAOHFdwDZ79mzt3btXktS4cWO9+uqrqlWrlk/X1qpVS6+88opOPPFESdK+ffs0a9asYJUKAMAxO8oSo0CVYbwEbAAAAAAAIHy4LmBbuHChvX3nnXcqOjrar+ujo6N1xx132PuLFy8OWG0AAAComImI9PMCpm8CAAAAAICqy3UB25YtWyRJERER6tWrV6Xu0bNnT3n//1vUGzZsCFhtAAAAqJjfARsAAAAAAEAV5rqALTMzU8YY1alTRzVr1qzUPWrWrKk6derIsizt3r07wBUCAADgYKzBBgAAAAAAwonrArbIyEhZlqWCgoJjuk9hYaEkKSoqKhBlAQAA4AhYgw0AAAAAAIQT1wVsderUkSTl5OTor7/+qtQ9tm/fruzsbBljlJycHMjyAAAAUAFaRAIAAAAAgHDiuoCtffv29vaHH35YqXu8//779nbbtm2PuSYAAAAchZ8tIo1MkAoBAAAAAAAIPtcFbGeffbYkybIsTZ48WT///LNf169atUpvvfXWIfcDjtXSpUvVqlUrPfHEE06XAgCA6zCDDQAAAAAAhBPXBWx9+/ZV3bp1ZYxRYWGhbrjhBn311Vc+Xfvll19qxIgRKioqkiTVq1dP/fr1C2a5CBM7duzQqFGjZFmW06UAAOBKBGwAAAAAACCcuG41+sjISN1///268847ZYzR7t27NXLkSLVu3Vr9+vVTu3btVLduXcXExCg/P187d+7Uzz//rH/9619au3atHYAYY3T33XerRo0aDn8iVHXbt2/X9ddfr23btjldCgAArmW8rvuxEgAAAAAAIGhc+Sbkggsu0PDhwzV58mQZY2RZltasWaO1a9ce9poDgzXLsjRs2DD1798/VCWjmlq0aJHuueceZWRkOF0KgGoqqlErp0sAAsL4uQYbAAAAAABAVebaNyH33nuvateurfHjx2vv3r0yxkhShS36jDF2sBYREaG///3vGj58eKhLRjWSmZmpRx55RPPnz5cktW/fXkVFRfrtt98crgxAVRPToqvy1y877PlanfqEsBogePxuEWmCUwcAAAAAAEAouG4NtgONGDFC8+b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\n",
      "text/plain": [
       "<Figure size 1920x1440 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# df_roc['lg_fpr'] = np.log10(df_roc['fpr'] + 1e-10)\n",
    "df_roc.sort_values(by='fpr', inplace=True)\n",
    "# print(df_roc['fpr'])\n",
    "# print(df_roc['tpr'])\n",
    "# print(df_roc['tpr'])\n",
    "# Calculate the AUC (Area Under the Curve)\n",
    "# roc_auc = auc(df_roc['fpr'],df_roc['tpr'] )\n",
    "lst_fpr = list(df_roc['fpr'].values)\n",
    "lst_tpr = list(df_roc['tpr'].values)\n",
    "\n",
    "lst_fpr.insert(0,0)\n",
    "lst_fpr.append(1)\n",
    "\n",
    "lst_tpr.insert(0,0)\n",
    "lst_tpr.append(1)\n",
    "\n",
    "\n",
    "\n",
    "# Plot TPR vs FPR curve for each sample\n",
    "\n",
    "roc_auc = auc(lst_fpr, lst_tpr)\n",
    "\n",
    "# Plot the ROC curve\n",
    "plt.plot(lst_fpr, lst_tpr, color=color_2, lw=2, label=f'ROC curve)')\n",
    "plt.plot([1, 0], [1, 1], color='navy', lw=2, linestyle='--')\n",
    "# plt.xlim([-0.05, 1.0])\n",
    "# plt.ylim([0.0, 1.05])\n",
    "plt.yscale(\"log\")\n",
    "plt.xscale(\"log\")\n",
    "\n",
    "plt.xlabel('False positive rate (on log scale)')\n",
    "plt.ylabel('True positive rate (on log scale)')\n",
    "# plt.title('Receiver Operating Characteristic (ROC) Curve for each sample')\n",
    "plt.legend(loc='lower right')\n",
    "sns.despine()\n",
    "plt.show()\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "d16d8be8",
   "metadata": {},
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 1920x1440 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# df_roc['lg_fpr'] = np.log10(df_roc['fpr'] + 1e-10)\n",
    "df_roc.sort_values(by='fpr', inplace=True)\n",
    "# print(df_roc['fpr'])\n",
    "# print(df_roc['tpr'])\n",
    "# print(df_roc['tpr'])\n",
    "# Calculate the AUC (Area Under the Curve)\n",
    "# roc_auc = auc(df_roc['fpr'],df_roc['tpr'] )\n",
    "lst_fpr = list(df_roc['fpr'].values)\n",
    "lst_tpr = list(df_roc['tpr'].values)\n",
    "\n",
    "lst_fpr.insert(0,0)\n",
    "lst_fpr.append(1)\n",
    "\n",
    "lst_tpr.insert(0,0)\n",
    "lst_tpr.append(1)\n",
    "\n",
    "\n",
    "\n",
    "# Plot TPR vs FPR curve for each sample\n",
    "\n",
    "roc_auc = auc(lst_fpr, lst_tpr)\n",
    "\n",
    "# Plot the ROC curve\n",
    "plt.plot(lst_fpr, lst_tpr, color=color_2, lw=2, label=f'ROC curve)')\n",
    "plt.plot([1e-1, 1], [1e-5, 1], color='navy', lw=2, linestyle='--')\n",
    "# plt.xlim([-0.05, 1.0])\n",
    "# plt.ylim([0.0, 1.05])\n",
    "# plt.yscale(\"log\")\n",
    "plt.xscale(\"log\")\n",
    "\n",
    "plt.xlabel('False positive rate (on log scale)')\n",
    "plt.ylabel('True positive rate')\n",
    "# plt.title('Receiver Operating Characteristic (ROC) Curve for each sample')\n",
    "plt.legend(loc='lower right')\n",
    "sns.despine()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "4b734700",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
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