3.1.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "63372ade",
   "metadata": {},
   "source": [
    "# Imports"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "9e965059",
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "from sklearn.preprocessing import *\n",
    "from sklearn.ensemble import RandomForestClassifier\n",
    "from sklearn.metrics import *\n",
    "import seaborn as sns\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "95f7e2f4",
   "metadata": {},
   "source": [
    "# Import FEYN"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "911843c5",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "This version of feyn and the QLattice is available for academic, personal, and non-commercial use. By using the community version of this software you agree to the terms and conditions which can be found at `https://abzu.ai/eula`.\n"
     ]
    }
   ],
   "source": [
    "import feyn\n",
    "ql = feyn.QLattice(random_seed=333)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "52a45540",
   "metadata": {},
   "source": [
    "# Import data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "458cb2d6",
   "metadata": {},
   "outputs": [],
   "source": [
    "path = 'CRC/'\n",
    "df = pd.read_csv(path + \"/all_data.csv\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "3dd0d308",
   "metadata": {},
   "outputs": [],
   "source": [
    "lbl=LabelEncoder()\n",
    "df['condition'] = lbl.fit_transform(df['condition'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "57ef2350",
   "metadata": {},
   "outputs": [],
   "source": [
    "groups = df[\"Country\"].to_numpy()\n",
    "X = df.drop([\"Unnamed: 0\", \"Country\"], axis=1)\n",
    "y = df[\"condition\"].to_numpy()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "1fe4d4bc",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
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       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>condition</th>\n",
       "      <th>Streptococcus_anginosus___ref_mOTU_v2_0004__</th>\n",
       "      <th>Enterobacteriaceae_sp.___ref_mOTU_v2_0036__</th>\n",
       "      <th>Citrobacter_sp.___ref_mOTU_v2_0076__</th>\n",
       "      <th>Klebsiella_michiganensis/oxytoca___ref_mOTU_v2_0079__</th>\n",
       "      <th>Enterococcus_faecalis___ref_mOTU_v2_0116__</th>\n",
       "      <th>Lactobacillus_salivarius___ref_mOTU_v2_0125__</th>\n",
       "      <th>Dielma_fastidiosa___ref_mOTU_v2_0138__</th>\n",
       "      <th>Streptococcus_constellatus/intermedius___ref_mOTU_v2_0143__</th>\n",
       "      <th>Streptococcus_parasanguinis___ref_mOTU_v2_0144__</th>\n",
       "      <th>...</th>\n",
       "      <th>unknown_Porphyromonas___meta_mOTU_v2_7777__</th>\n",
       "      <th>unknown_Clostridiales___meta_mOTU_v2_7778__</th>\n",
       "      <th>unknown_Clostridiales___meta_mOTU_v2_7781__</th>\n",
       "      <th>unknown_Clostridiales___meta_mOTU_v2_7782__</th>\n",
       "      <th>unknown_Clostridiales___meta_mOTU_v2_7784__</th>\n",
       "      <th>Clostridium_sp._CAG__230___meta_mOTU_v2_7788__</th>\n",
       "      <th>Clostridium_sp._CAG__1193___meta_mOTU_v2_7789__</th>\n",
       "      <th>unknown_Erysipelotrichaceae___meta_mOTU_v2_7790__</th>\n",
       "      <th>unknown_Clostridiales___meta_mOTU_v2_7795__</th>\n",
       "      <th>unknown_Clostridiales___meta_mOTU_v2_7800__</th>\n",
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       "  </tbody>\n",
       "</table>\n",
       "<p>768 rows × 850 columns</p>\n",
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      ],
      "text/plain": [
       "     condition  Streptococcus_anginosus___ref_mOTU_v2_0004__  \\\n",
       "0            1                                      0.000000   \n",
       "1            1                                      0.000591   \n",
       "2            1                                      0.000840   \n",
       "3            1                                      0.000000   \n",
       "4            1                                      0.000086   \n",
       "..         ...                                           ...   \n",
       "763          0                                      0.000000   \n",
       "764          0                                      0.000038   \n",
       "765          1                                      0.000000   \n",
       "766          0                                      0.000000   \n",
       "767          0                                      0.000000   \n",
       "\n",
       "     Enterobacteriaceae_sp.___ref_mOTU_v2_0036__  \\\n",
       "0                                       0.000000   \n",
       "1                                       0.000066   \n",
       "2                                       0.000065   \n",
       "3                                       0.000071   \n",
       "4                                       0.019236   \n",
       "..                                           ...   \n",
       "763                                     0.000118   \n",
       "764                                     0.000038   \n",
       "765                                     0.000000   \n",
       "766                                     0.000312   \n",
       "767                                     0.000000   \n",
       "\n",
       "     Citrobacter_sp.___ref_mOTU_v2_0076__  \\\n",
       "0                                0.000000   \n",
       "1                                0.000000   \n",
       "2                                0.002454   \n",
       "3                                0.000000   \n",
       "4                                0.001111   \n",
       "..                                    ...   \n",
       "763                              0.000000   \n",
       "764                              0.000000   \n",
       "765                              0.000000   \n",
       "766                              0.000000   \n",
       "767                              0.000784   \n",
       "\n",
       "     Klebsiella_michiganensis/oxytoca___ref_mOTU_v2_0079__  \\\n",
       "0                                             0.000000       \n",
       "1                                             0.000000       \n",
       "2                                             0.000000       \n",
       "3                                             0.000000       \n",
       "4                                             0.000256       \n",
       "..                                                 ...       \n",
       "763                                           0.000000       \n",
       "764                                           0.000000       \n",
       "765                                           0.000000       \n",
       "766                                           0.000000       \n",
       "767                                           0.000000       \n",
       "\n",
       "     Enterococcus_faecalis___ref_mOTU_v2_0116__  \\\n",
       "0                                      0.000000   \n",
       "1                                      0.000000   \n",
       "2                                      0.000065   \n",
       "3                                      0.000000   \n",
       "4                                      0.000086   \n",
       "..                                          ...   \n",
       "763                                    0.000059   \n",
       "764                                    0.000000   \n",
       "765                                    0.000000   \n",
       "766                                    0.000208   \n",
       "767                                    0.000000   \n",
       "\n",
       "     Lactobacillus_salivarius___ref_mOTU_v2_0125__  \\\n",
       "0                                         0.000000   \n",
       "1                                         0.000000   \n",
       "2                                         0.013111   \n",
       "3                                         0.000000   \n",
       "4                                         0.000086   \n",
       "..                                             ...   \n",
       "763                                       0.000000   \n",
       "764                                       0.000000   \n",
       "765                                       0.000000   \n",
       "766                                       0.000000   \n",
       "767                                       0.000000   \n",
       "\n",
       "     Dielma_fastidiosa___ref_mOTU_v2_0138__  \\\n",
       "0                                  0.000083   \n",
       "1                                  0.000000   \n",
       "2                                  0.000000   \n",
       "3                                  0.000213   \n",
       "4                                  0.000000   \n",
       "..                                      ...   \n",
       "763                                0.000118   \n",
       "764                                0.000075   \n",
       "765                                0.000000   \n",
       "766                                0.000000   \n",
       "767                                0.000000   \n",
       "\n",
       "     Streptococcus_constellatus/intermedius___ref_mOTU_v2_0143__  \\\n",
       "0                                             0.000000             \n",
       "1                                             0.000066             \n",
       "2                                             0.000065             \n",
       "3                                             0.000071             \n",
       "4                                             0.000000             \n",
       "..                                                 ...             \n",
       "763                                           0.000000             \n",
       "764                                           0.000038             \n",
       "765                                           0.000000             \n",
       "766                                           0.000000             \n",
       "767                                           0.000000             \n",
       "\n",
       "     Streptococcus_parasanguinis___ref_mOTU_v2_0144__  ...  \\\n",
       "0                                            0.000249  ...   \n",
       "1                                            0.002102  ...   \n",
       "2                                            0.012013  ...   \n",
       "3                                            0.000142  ...   \n",
       "4                                            0.000513  ...   \n",
       "..                                                ...  ...   \n",
       "763                                          0.000059  ...   \n",
       "764                                          0.000113  ...   \n",
       "765                                          0.000000  ...   \n",
       "766                                          0.000000  ...   \n",
       "767                                          0.000087  ...   \n",
       "\n",
       "     unknown_Porphyromonas___meta_mOTU_v2_7777__  \\\n",
       "0                                       0.000000   \n",
       "1                                       0.000000   \n",
       "2                                       0.000000   \n",
       "3                                       0.000000   \n",
       "4                                       0.000000   \n",
       "..                                           ...   \n",
       "763                                     0.002590   \n",
       "764                                     0.000151   \n",
       "765                                     0.000000   \n",
       "766                                     0.000000   \n",
       "767                                     0.000000   \n",
       "\n",
       "     unknown_Clostridiales___meta_mOTU_v2_7778__  \\\n",
       "0                                       0.000000   \n",
       "1                                       0.000000   \n",
       "2                                       0.000000   \n",
       "3                                       0.000000   \n",
       "4                                       0.000171   \n",
       "..                                           ...   \n",
       "763                                     0.000000   \n",
       "764                                     0.000000   \n",
       "765                                     0.000348   \n",
       "766                                     0.000000   \n",
       "767                                     0.000000   \n",
       "\n",
       "     unknown_Clostridiales___meta_mOTU_v2_7781__  \\\n",
       "0                                       0.000000   \n",
       "1                                       0.000000   \n",
       "2                                       0.000194   \n",
       "3                                       0.000000   \n",
       "4                                       0.000000   \n",
       "..                                           ...   \n",
       "763                                     0.000000   \n",
       "764                                     0.000000   \n",
       "765                                     0.000044   \n",
       "766                                     0.000000   \n",
       "767                                     0.000000   \n",
       "\n",
       "     unknown_Clostridiales___meta_mOTU_v2_7782__  \\\n",
       "0                                       0.000000   \n",
       "1                                       0.000788   \n",
       "2                                       0.000065   \n",
       "3                                       0.000000   \n",
       "4                                       0.000000   \n",
       "..                                           ...   \n",
       "763                                     0.001118   \n",
       "764                                     0.000151   \n",
       "765                                     0.001741   \n",
       "766                                     0.000000   \n",
       "767                                     0.000000   \n",
       "\n",
       "     unknown_Clostridiales___meta_mOTU_v2_7784__  \\\n",
       "0                                       0.000000   \n",
       "1                                       0.000000   \n",
       "2                                       0.000000   \n",
       "3                                       0.000000   \n",
       "4                                       0.000000   \n",
       "..                                           ...   \n",
       "763                                     0.000000   \n",
       "764                                     0.000038   \n",
       "765                                     0.000000   \n",
       "766                                     0.000208   \n",
       "767                                     0.000000   \n",
       "\n",
       "     Clostridium_sp._CAG__230___meta_mOTU_v2_7788__  \\\n",
       "0                                          0.000000   \n",
       "1                                          0.000000   \n",
       "2                                          0.000840   \n",
       "3                                          0.000000   \n",
       "4                                          0.000000   \n",
       "..                                              ...   \n",
       "763                                        0.000000   \n",
       "764                                        0.000000   \n",
       "765                                        0.000435   \n",
       "766                                        0.000000   \n",
       "767                                        0.000000   \n",
       "\n",
       "     Clostridium_sp._CAG__1193___meta_mOTU_v2_7789__  \\\n",
       "0                                                0.0   \n",
       "1                                                0.0   \n",
       "2                                                0.0   \n",
       "3                                                0.0   \n",
       "4                                                0.0   \n",
       "..                                               ...   \n",
       "763                                              0.0   \n",
       "764                                              0.0   \n",
       "765                                              0.0   \n",
       "766                                              0.0   \n",
       "767                                              0.0   \n",
       "\n",
       "     unknown_Erysipelotrichaceae___meta_mOTU_v2_7790__  \\\n",
       "0                                                  0.0   \n",
       "1                                                  0.0   \n",
       "2                                                  0.0   \n",
       "3                                                  0.0   \n",
       "4                                                  0.0   \n",
       "..                                                 ...   \n",
       "763                                                0.0   \n",
       "764                                                0.0   \n",
       "765                                                0.0   \n",
       "766                                                0.0   \n",
       "767                                                0.0   \n",
       "\n",
       "     unknown_Clostridiales___meta_mOTU_v2_7795__  \\\n",
       "0                                       0.000083   \n",
       "1                                       0.000000   \n",
       "2                                       0.001808   \n",
       "3                                       0.000000   \n",
       "4                                       0.000000   \n",
       "..                                           ...   \n",
       "763                                     0.000000   \n",
       "764                                     0.000000   \n",
       "765                                     0.000000   \n",
       "766                                     0.000000   \n",
       "767                                     0.000000   \n",
       "\n",
       "     unknown_Clostridiales___meta_mOTU_v2_7800__  \n",
       "0                                       0.000083  \n",
       "1                                       0.000000  \n",
       "2                                       0.000000  \n",
       "3                                       0.000000  \n",
       "4                                       0.000000  \n",
       "..                                           ...  \n",
       "763                                     0.000000  \n",
       "764                                     0.000000  \n",
       "765                                     0.000044  \n",
       "766                                     0.000156  \n",
       "767                                     0.000000  \n",
       "\n",
       "[768 rows x 850 columns]"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "X"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "874330dc",
   "metadata": {},
   "source": [
    "## Dataset names"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "3d31b47b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "['AT-CRC_species',\n",
       " 'CN-CRC_species',\n",
       " 'DE-CRC_species',\n",
       " 'FR-CRC_species',\n",
       " 'IT-CRC-2_species',\n",
       " 'IT-CRC_species',\n",
       " 'JP-CRC_species',\n",
       " 'US-CRC_species']"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "unique_groups = list(np.unique(groups))\n",
    "unique_groups"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a331e388",
   "metadata": {},
   "source": [
    "# Creating dataframes for results"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "be80a857",
   "metadata": {
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "AUC_scores = pd.DataFrame(index=unique_groups, columns=unique_groups)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "21e98d1d",
   "metadata": {
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "ROC_curve = pd.DataFrame(index=unique_groups, columns=[\"fpr\",\"tpr\",\"auc\"])"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b6ec21a3",
   "metadata": {},
   "source": [
    "# LOSO validation with random forests"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "82e26546",
   "metadata": {},
   "outputs": [],
   "source": [
    "show_fold_stats = True"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "44d0a12c",
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "--------------------------------------------------------------------------------\n",
      "--------------------------------------------------------------------------------\n",
      "Group : 8 US-CRC_species\n",
      "ROC AUC score for RandomForest model, LOGO test set: 0.6953\n",
      "<feyn._model.Model object at 0x0000019D58D051F0>\n",
      "None\n",
      "--------------------------------------------------------------------------------\n",
      "--------------------------------------------------------------------------------\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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P8pVvzayIfOVbM8uk2c+p+cq3ZraNZh/99JVvzWwbRZ1R4Cvfmlmp+Mq3ZpZJUUc/a22pQTI40P0x/OtYMyukmrJW0sXA3cDJwCnAzyRdmGdhZlZszT5Q8EngkIjYCG9cEfdR4Ot5FWZmxVbQcYKaf9KxmOR3at2mAL8Z/HLMrFk0e0ttOvArSUFySW8Bz0l6EuiKiEPyKtDMrB61htpxuVZhZk2n2Uc/R0TEkuoVkk6KiNt7e4OZWSPUmrXzJX0OQNIYSd/BP741G9KKek6t1lB7D7CnpLuB/wLuj4iZ+ZVlZkVXqVRqeuxo9fSKW0nmflaAEfmUY2Y2MLWG2kPAbyPiOOAYYLqkn+ZXlpkVXVHvJlXrQMGpEbEUICJeB86V9IH8yjKzomvKH99Keg9ARCxNLzdUbWRuVZmZZdRf4/BbVc+3//nGlwe5FjNrIkUd/eyv+1np5XlPy2Y2hDRl95P0Src9PO9p2cys4fprqb1T0lqSVllb+px0eVSulZlZoQ32yGZ63n4+MAHYBHwhIn4maTZwBUlD6sL+ZjL1GWoRMWyQ6jWzksmh+9kJfDYiFkkS8GB6K84rSa66PRK4R9IdEbG1t53Uc+VbM7PcpDdNX5k+D0mtwFHA4vQ1JD0PHAIs7G0/DjUzyyTPKVCSjgd+CUwClks6F1gNrAAm41Azs8FWT6ZJerSH1fMiYl4P27aTXFX7FJJrORIR16evzervWA41M8uknlCLiMNr2S69VcBtwEXpj/4nk7TMurUDy/vah0PNzDIZ7N6npArwT8AtEXFXuvoR4CBJk0gGCvYEnuhrPw41MyuK9wCnAgdIOjtdNxO4BHggXT6/r5FPcKiZWUaD3VKLiPvp+bJm89NHTRxqZpZJUadJOdTMLBOHmpmVikPNzEqlqKFW0Dv3mZll45aamWXSiDtF1cKhZmaZFDTTHGpmlo1DzcxKxaFmZqVS1FDz6KeZlYpbamaWSVFbag41M8vEoTZErVmzhjPPPJPOzk4qlQrnnXce73//+xtdlvWira3C9dePZ8GCjfzwhxs4/fTRHHlkKx0dcOut63n44c2NLrEwHGpD1NixY7n55psZM2YMq1ev5oQTTuDYY4+lZbDvL2aDYvbsNpYu3QLA1KnDOeywEXzuc68wdmyF664bz6JFHWzY4FveQnFDzX+zcjZixAjGjBkDwGuvvcbmzZvp7OxscFXWkz32GMb48S0sWZL8+Uye3MJzz21h61ZYu7aLVau2st9+bgd0q1QqNT12NIfaDrBu3TpmzpzJiSeeyGWXXUZra2ujS7IenHHGaG65Zf0by8uWbWH//YczciS87W0tTJkyjAkT/Fem6HL7Z0fS1cDpwEsRMS2v4zSDsWPHcuedd7JkyRLmzp3L8ccfz4gRPV3g0xrl3e9u5YUXtvDSS29eKTpiC3ffvZGrrhrPqlVbeeKJDjZvdtezW1G7n3m2pX8A3ArckOMxmsrUqVMZPnw4v/71rzn44IMbXY5V2X//4Rx99EiOOKKVceNa6OqCNWu2smDBRhYs2AjA1VfvvE3oDXVDLtQi4kFJe+e1/2axYsUKRo4cyYQJE3jppZdYsmQJu+22W6PLsu3cdNN6brop6Xp+7GOj2bChi3vv3cROO1V47bUupk0bztixlTfOt9kQDDVLvPjii8ydOxeALVu2cPHFFzNp0qQGV2W1mjNnLJMnD2PLFvjGN9Y1upxCcaj1IL0N1tn9btjEpk+fzp133tnoMqwO1YMFl1/+WgMrKTaHWg/SW85vc9t5ST4Ta2aZuftpZpkUtaWW249uJP0d8BDwdkm/l3RyXscysx2vUqntsaPlOfr5WeCzee3fzBqrqC01dz/NLJOi3njFcz7MrFTcUjOzTAraUHOomVk2DjUzKxWHmpmVikPNzEqlqKHm0U8zKxW31Mwsk6K21BxqZpaJQ83MSsWhZmalUtRpUg41M8ukoJnmUDOzYujpDnSSZgNXAF3AhRFxe3/78U86zCyTHK6n9gPghO4FSa3AlcAxwHHAtZL6zSyHmpllMtihFhEPAi9XrToCWBwRKyNiGfA8cEh/+3H308wyqSewJD3aw+p56X1KetMOLJd0LrAaWAFMBhb2dSyHmpllUmcr7PCsx4mI6wEkzaple4eamWWyA0Y/l5O0zLq1p+v65FAzs6J6BDhI0iRgJLAn8ER/b3KomVkmg91SS+9ANwuYKOn3wF8ClwAPpJucHxFb+9uPQ83MMhnsUOvjDnTz69mPQ83MMvE0KTMrlYJmmkPNzLIpaqh5RoGZlYpbamaWSVFbag41M8vEoWZmpeJQM7NSKWqoeaDAzErFLTUzy6SoLTWHmpll0tJSzFRz99PMSsUtNTPLxN1PMyuVooaau59mVipuqZlZJkVtqTnUzCyTloL28wpalplZNm6pmVkm7n6aWakUNdTc/TSzUnFLzcwyKWpLzaFmZpn4blJmVioFzTSHmpll41Azs1Ipaqh59NPMSqWQLbWpU6c2ugQz61vst99U1bptrpVsp9LV1bUjjzekSXo0Ig5vdB1WG/95NSd3P82sVBxqZlYqDjUzKxWHmpmVikNtx5rX6AKsLv7zakIe/TSzUnFLzcxKxaFmZqXiUDOzUnGo5UhSu6Qpja7D6iNpWKNrsOwcajmR9GHgbuBGSd91uBWfpP0BImKLg615OdRyIGk0cDrwmYh4H1ABPi9pemMrs95IOgF4QtIt4GBrZg61fGwFxgG7pss/BkYAn5LU3rCqrEeS2oBPAJ8HOiTdBA62ZuXfqeVE0p8BfwEsAm6IiGWS/hnYFBGfbmx1tj1JuwGvA6OA64GNEfGJxlZlWbillp/7gJ8BuwOT03WfAnaXtGuv77KGiIiVEbEuIl4GzgHaultskg6UtHtjK7RaOdRyEhHrgfnAU8BcSacDHwf2ADoaWZv1LSJWkQRbh6TfAP9GckrBmoBDLUcRsQb4NnAtMAv4H8BZEbG2kXVZ/9IW2yJgPDArIlY0tiKrlc+p7SCSWoGuiHArrQlI2hn4R+ArEfFko+ux2jnUzHohaWREbGp0HVYfh5qZlYrPqZlZqTjUzKxUHGpmVioOtRKTtEXSQkmLJd2aTgca6D6fkrR31fLJki6p4/1z0rmxAzquWW8cauW2ISIOBaaly+cO9gEi4kcR8bU63jIHqDvUzGo1vNEFWP4iokvSfaThJmkG8EXgVeAdwH9ExBxJJwFfAkYCd0fEBen2FwNnksyOGNW933Qu6wzgRxHxV1Xr20luWiKgE/gosBdwNcm0sXskbQFmRsSL9R7XrC8OtSFA0ghgJnBH1er3AO+OiKckjZc0iSRYZkTEeknfl/Q+4Fng08AhwB8Bb/wQNSI+KekM4PDtDvkt4CcR8X8ljQNGRcQzwKGSfgf8afqLfbIc16wvDrVya5O0MH1+L/Cdqtcei4inACLiFUknk4THg5IAxqbL44H7I2IDsFhS1HDcGSTzXEmnhPU1LezIQTyumUOt5LrPqfXk1R7W/TQiPl69QtKHBr2q4hzXSsgDBdbtYeBPJO0JoEQ78EvgaEmjJB1Icp6sP/eQnAtD0hhJb6t6bS2wS07HNXOoWSIi/gB8Brhd0pMkl00aExFB0m19HLgceA5A0t5p1/YrwEfSn47MTHd3HnCCpEUk15WbUHWobwELJN0vqb3e45r1x3M/zaxU3FIzs1JxqJlZqTjUzKxUHGpmVioONTMrFYeamZWKQ83MSsWhZmal8t8upR70It56gwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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zgXOAXYEHeSPUXgW+mV9ZZlZ0DRlqEfEt4FuSHo6Ig/uoJjOzzKq9pOO8XKsws4ZT1KdJVTtQEJJGty9IGi1pUk41mVkDaG6u7qfP66pyu/8DrK9YXgvc2PvlmJltn2pDbWBErGlfiIi1wKB8SjKzRtDocz9D0izeuDHkp0ieV5CL2bOH59W05WDGjJfrXYLVQUFPqVUdarOAbwNfJZnU/tt0nZlZr5A0Cvg1MJA3bkb7C0knA5en686NiAXdNFP13M8XgJO3r2QzK5McBgFeA46KiDXpwORiSbcBXyeZd74j8FtJt0bElq4aqfoJ7ZKOAt4SEd+XNAYYGhFPb9evYGaWiohWoDVd3JkkxN4BPJZ2rJD0LND+hLtOVTuh/Spgd+AgkvNq7Xe+fWem6s2s4eVxTk3SMOA+kucMnw6MAZZLOgtYCawgmeG0qKs2qu2pvS8iDpb0MCR3vpXkO9+a9WO1hJqkhZ2snhsRcytXRMTfgAMk7QPMBa5N138nbefEnvblO9+aWSa1zCiIiKm1tB0RSyS1AstJembtxqbruuQ735pZIaSdpfUR8YqksSQPTH8W2C89j78jMAH4U3ft+M63ZpZJDqOfuwNzJQEMAC6IiJB0IXBvus0Xuxv5hBpGP0kGB9p/jcE1Fmtm1q2IuB84oJP184H51bZT7XM/zwfuAo4HPgTcKencandiZuXT6NOkPgFMjoj1sPWOuAuBq/MqzMyKrajTpKo9Kn6M5Hi33W7A0t4vx8waRaP31KYAf5YUJLf0FvC0pMVAW0RMzqtAM7NaVBtqR+dahZk1nKI+Iq/aUBsYEU9WrpB0XE+z5c3M+lq1WTtf0ucBJA2V9D188a1Zv1bUc2rVhtrhwARJdwH/DdwTEdPzK8vMiq6pqamqn75Wy1HxIJK5n00kN3EzMyucakPtfuCJiDgaOAKYIunX+ZVlZkVX1KdJVTtQcFJELAOIiNeBsyR9ML+yzKzoGvLiW0mHA0TEsnQGfaUdc6vKzCyjnjqH36543fHyjUt6uRYzayBFHf3s6fCzqYvXnS2bWT/SkIefpHe67eR1Z8tmZnXXU0/tQEmvkfTKBqevSZdbcq3MzAqtIadJRcSAvirEzBpLox5+mpk1lFpu521mtlU9pkBVw6FmZpkUNNMcamaWjUPNzEqlqKHmgQIzKxX31Mwsk6L21BxqZpaJQ83MSsWhZmal4lAzs1JxqJmZdSO9Ee18YCSwAbggIu6UtBlYnG52d0Sc3V07DjUzyySHaVKbgM9FxCOSBNwHjAfWRcRB1TbiUDOzTHo70yLiBeCF9HVIGiSp5scG+OJbM8skz9t5S5oGPBQRG4AWSQ9JulfSkT191j01M8uklsCStLCT1XMjYm4n244FrgY+lK6aEBErJB0C/FzSXhGxrqt9OdTMLJNaQi0iplaznaQW4CbgvIrHcq5I/3xA0vPARGBJV2348NPMCkFSE/AD4MaIuD1dt4ukwenriSQDB8901457amaWSQ7XqR0OnATsI2lWuu6zwA8kbQA2A2ekD1TvkkPNzDLJYfTzHmBgJ2/tXUs7PvzMyde+9jUOPfRQjjnmmK3rFi1axLHHHsu0adP4/Oc/X8fqrCuDBzdxww0jOeGEwQD88pejuPbaEVx77QhmzRpa5+qKpVEfZmwZTZs2jRkzZnD++ecDsGXLFs477zyuuOIKpk6dyiuvvFLnCq0zJ588mGXLNm9d3rgRzj57df0KKrCiTpNyTy0nU6ZMYeTIkVuXH330UXbZZRemTk0GgUaNGlWv0qwL48cPYMSIZp58clO9S2kITU1NVf30NYdaH3n++ecZNmwYp512Gscddxzz5s2rd0nWwSc/OYQbb1y7zbpBg+Caa0Zw5ZU7s99+PrBpBLn9LUm6CpgJvBQR++e1n0axYcMGHnzwQW677TaGDRvGCSecwJFHHsnuu+9e79IMePvbB/Hcc5t56aUt26w/9dSVrF7dxl577cBFFw1j1qxVbNxYpyILpqiHn3n+r+dnwI+B63PcR8MYPXo0kyZNYty4cQDsv//+PPXUUw61gnjrW3fgne/ckUMPHcTw4c20tcGqVVv43e82APDEE5tYuXILY8YM4K9/3dxDa/1Dvwu1iLgvvVjOgMmTJ7N8+XJWr17NkCFDWLp0Kbvttlu9y7LUvHlrmTcvOfQ85ZQhrFvXxsKFGxk0KBksGDOmmVGjmnnpJQdau34Xav3dJZdcwh133MGqVas4/PDDmTNnDhdddBEzZ86ktbWV448/nj333LPeZVo3JkwYwDnn7ERrK2zZAtdeu4YNG+pdVXE41DqRXjU8q8cNG9CcOXOYM2fO362fPn16HaqxWlQOFpx11ur6FVJwDrVOpDP0t5mlL6mtTuWYWQn48NPMMilqTy2369Qk/QtwP7C3pL9KOj6vfZlZ3+t306Qi4nPA5/Jq38zqq6g9NR9+mlkm9ZgCVQ1PkzKzUnFPzcwyKWhHzaFmZtk41MysVBxqZlYqDjUzK5WihppHP82sVNxTM7NMitpTc6iZWSYONTMrFYeamZVKUadJOdTMLJOCZppHP82sXNxTM7NMitpTc6iZWSYONTMrld4ONUnjgfnASGADcEFE3CnpZOByoA04NyIWdNeOz6mZWSY53M57E/C5iNgPOAG4XtIg4OvAEcDRwDWSus0t99TMLJPe7qlFxAvAC+nrSAPtHcBj6XtIehaYDCzqqh2HmpnlTtLCTlbPTR+T2dn204CHgDHAcklnASuBFcCuONTMrLfV0lOLiKnVbitpLHA18CFgSvr576TvndjT531OzcwyyeMReZJagJuA8yJiGbCcpGfWbmy6rkvuqZlZJr09TUpSE/AD4MaIuD1d/UdgP0ljgB2BCcCfumvHoWZmmeRwndrhwEnAPpJmpeumAxcC96bLX4yILd014lAzs0xyGP28BxjYyVvz05+q+JyamZWKe2pmlomnSZlZqTjUzKxUHGpmVipFDTUPFJhZqbinZmaZFLWn5lAzs0yam4uZaj78NLNScU/NzDLx4aeZlUpRQ82Hn2ZWKu6pmVkmRe2pOdTMLJPmgh7nFbQsM7Ns3FMzs0x8+GlmpVLUUPPhp5mVintqZpZJUXtqDjUzy6S3nybVWxxqZpZJQTPNoWZm2TjUzKxUihpqHv00s1IpZE9t0qRJ9S7BzLoXe+01SdVum2slHTS1tbX15f76NUkLI2Jqveuw6vjvqzH58NPMSsWhZmal4lAzs1JxqJlZqTjU+tbcehdgNfHfVwPy6KeZlYp7amZWKg41MysVh5qZlYpDLUeSxkrard51WG0kDah3DZadQy0nkj4C3AXcIOn7Drfik/RWgIjY7GBrXA61HEgaAswEPhMR7wWagC9ImlLfyqwrko4F/iTpRnCwNTKHWj62AMOBUenyLcBA4HRJY+tWlXVK0mDg48AXgFZJ88DB1qh8nVpOJB0DnAE8AlwfEc9I+iGwISI+Xd/qrCNJbwZeB1qA7wDrI+Lj9a3KsnBPLT+/B+4ExgG7putOB8ZJGtXlp6wuIuKFiFgTES8DZwKD23tskvaVNK6+FVq1HGo5iYi1wHzgUeBiSTOBjwHjgdZ61mbdi4hXSIKtVdJS4JckpxSsATjUchQRq4DvAtcAJwIfAD4VEa/Vsy7rWdpjewQYAZwYESvqW5FVy+fU+oikQUBbRLiX1gAk7Qz8O/BPEbG43vVY9RxqZl2QtGNEbKh3HVYbh5qZlYrPqZlZqTjUzKxUHGpmVioOtRKTtFnSIkmPSfpxOh1oe9t8VNLEiuXjJV1Yw+fPSefGbtd+zbriUCu3dRFxELB/unxWb+8gIm6OiCtq+Mg5QM2hZlatHepdgOUvItok/Z403CQdBVwEvAq8DfiviDhH0nHAbGBH4K6I+FK6/fnAaSSzI1ra203nsh4F3BwR/1ixfizJQ0sEbAI+CuwOXEUybey3kjYD0yPi+Vr3a9Ydh1o/IGkgMB24tWL14cDbI+JRSSMkjSEJlqMiYq2kn0h6L/AU8GlgMvAWYOuFqBHxCUmfBKZ22OW3gV9FxL9JGg60RMTjwEGS/gK8J71inyz7NeuOQ63cBktalL7+HfC9ivcejIhHASJitaTjScLjPkkAO6XLI4B7ImId8JikqGK/R5HMcyWdEtbdtLDDenG/Zg61kms/p9aZVztZ9+uI+FjlCkkn9HpVxdmvlZAHCqzdH4B3SZoAoMRY4CHgnZJaJO1Lcp6sJ78lOReGpKGS3lTx3mvALjnt18yhZomIeBH4DLBA0mKS2yYNjYggOWx9GLgMeBpA0sT00PafgP+RXjoyPW3ubOBYSY+Q3FduZMWuvg38QtI9ksbWul+znnjup5mVintqZlYqDjUzKxWHmpmVikPNzErFoWZmpeJQM7NScaiZWak41MysVP4/nri4mSmorJgAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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SxkVEO3BnxbqxEfHX3GpmZoXW7FPk/Vcv6342kBUxMxsI/b2low0YBQyRtC3J0wQA26c/ZraZatbu5yeBs0ievfojr4baSuDb+VXLzIquKUMtIq4ArpD0SETsO0h1MjPLrNZbOj6bay3MrOkUdTapWgcKQtKYngVJYyRNyqlOZtYEWltr+xn0etW43/8FXq5YXgPcMvDVMTPbNLWG2rCIWNWzEBFrgOH5VMnMmkGzP/sZkk7h1RdDnkgyX0Eu3v3utryKthxceeWq/ney0inoJbWaW2qnkExP9RzwLPDOdJ2ZWaHU+uznMmB6znUxsyYy0IMA6dt/ZgLbAmtJ3nz7W0ldwIJ0t9kRcUa1cmp+862kqcAbet58C4z2m2/NbACtBz4VEfOVvNP7fmA80BERU2otpNYH2i8jeX/4FJLraj1vvj24vjqbWVnkMJnxMmBZ+ntIGi5pRL3l+M23ZpZJnqOfkg4H5kbEWqBN0lxJcyT9S3/H+s23ZpZJPU8U1DqZcbrvOOBbwFHpqgkR0S7pAOA2SbtFREdf5/Kbb80sd7VOZpw2nn4GfDYiFqfHtqd/PiTpOWAisKivMvzmWzPLJIfRzxZgBnBLRMxK121HMlDQIWkiycBB1TmH65n3s41Xr8GNrLvGZmbVvQ04Ftgzvdkfkqk5Z0haS3LJ6+SIWF2tkFpHPz8HnAz8N8k71b4p6bqI+FbW2ptZc8th9PP3wLBeNu1eTzm1ttQ+CuwdES/DK/3eh0ku5pnZZqjZH5NaSHKfWo+dgD8NfHXMrFk0+wPt+wGPSwqS7qeApyQtALojYu+8KmhmVo9aQ+2wXGthZk2nqFPk1RpqwyLiycoVkt4XEXf2dYCZWSPUmrUzJX0GQNJoSd/HN9+abdaKek2t1lB7GzBB0t0kt3X8PiKOzK9aZlZ0LS0tNf0Mtnp6xcNJnv1sofd7SczMGq7WUPsD8L8RcRhwCLCfpF/nVy0zK7qiziZV60DBsRUPl64GTpV0RH7VMrOia8qbbyW9DSAiFqevG6pU98vbzMzy1l/j8KqK3ze+feNLA1wXM2siRR397K/72dLH770tm9lmpCm7n6Rvuu3l996Wzcwarr+W2j6SXiJplY1Mfydd9ozDZpuxpnxMKiKGDFZFzKy5FLX7Wc+bb83MclNlMuPpwMUkl7zO7e+Z84I2IM2s6HJ4TKpnMuPJwDHADZKGA98guen/MOBySVVzyy01M8tkMCYzBt4KLEy3IekZYG9gXl/lONTMLJN6Qq2eeT/T/Q8H5gJjgaWSTgWWA+3AjjjUzGyg1RNqtc77Cf8wmfF+6fHXptum9Xe8r6mZWWH0MpnxUpKWWY9x6bo+uaVmZpkM9DW13iYzBh4EJksaS/K8+QTg0WrlONTMLJMc7lPrbTLjI4HzgDnp8tkRsaFaIQ41M8tkECcznpn+1MShZmaZ+IkCMyuVooaaRz/NrFTcUjOzTBoxU1QtHGpmlklBM82hZmbZONTMrFQcamZWKkUNNY9+mlmpuKVmZpkUtaXmUDOzTIoaau5+DpJVq1Zx8MEHc/311ze6KlbFyJEt3HjjthxzzEgApk0bydVXb8M112zD8cePbHDtiqVZJzO2AXLNNdcwefLkRlfD+jF9+kgWL+4CYPvtWzniiDZOO20FLS1w7bXbcs89a1m2rOpLIjYbRW2pOdQGwZIlS1i+fDl77bVXo6tiVYwfP4RttmnlySfXv7JuyBAYNiy5e76zs5vVqz2Hd4+iPlHg7ucguPTSS/nMZz7T6GpYPz72sVHccsuaV5ZfeGEDd9zRwYwZ23HDDdty++0drFrlUCu63Fpqki4DPgI8HxGbbRPl7rvvZpdddmH8+PGNropV8Za3DOfZZ7t4/vlXu5ajR7fwT/80nJNOWsHQofDNb27Ngw+uY8UKBxvk8ubbf8gMSV3AgnSX2RFxRn/l5Nn9/DnwY+CGHM9RePPnz2fWrFncddddrFixgpaWFnbYYQeOOuqoRlfNKrzxjUM5+OARHHjgcLbaqpXubli5cgPPP7+BNWuSEFuypItddx3Kww93Nri2xZBD77O3zOiIiCn1FJJbqEXE/ZIm5lV+szjnnHM455xzALjiiisYPXq0A62AbrppDTfdlHQ9P/ShUXR0dNPe3sUxx4xk6FBobYVddx3KLbd4kKBHDm++HZDM8ECBWR8ef3w9c+eu46qrtqG7G37zm5f5y1+6Gl2twhikcYI2SXOBDuD8iJjd3wENDbV0coVT+t2xJM4888xGV8FqUDlYMGPGGmbMWFNl781XnpMZV5gQEe2SDgBuk7RbRHRUO6ChoZZ+oNd8KEm+CmtWMvVMZrzRce3pnw9Jeg6YCCyqdoy7n2aWSd7dT0nbkQwUdKTX2sYDT/d3XG73qUm6GvgDsLukv0h6f17nMrPBN9CPSW2cGcCngXmSHgVuA06OiNX9lZPn6OengE/lVb6ZNVYOo5+9ZcZX6i3H3U8zy8SPSZmZDQK31Mwsk4I21BxqZpaNQ83MSsWhZmal4lAzs1Ipaqh59NPMSsUtNTPLpKgtNYeamWXiUDOzUnGomVmpFPUxKYeamWVS0Ezz6KeZlYtbamaWSVFbag41M8vEoWZmpTJIkxlPBy4GuoFzI+LO/srxNTUzy2SgX+dNMpnxe3sWJA0HvgEcAhwGXC6p38xyqJlZJgMdahFxP/C3ilUHAgsjYllEPA08A+zdXznufppZUY0Dlko6FVgOtAM7AvOqHeRQM7NMBmkyYyLi2rSMabWcy6FmZpnU2bXMMpnxUpKWWY9x6bqqHGpmlskgPCb1IDBZ0lhgBDABeLS/gxxqZpZJDrd0XA1MA8akkxmfDpwHzEl3OTsiNvRXjkPNzDIZpMmMAWbWU45v6TCzUnFLzcwy8WNSZlYqDjUzKxWHmpmVSlFDzQMFZlYqbqmZWSZFbak51Mwsk9bWYqaau59mVipuqZlZJu5+mlmpFDXU3P00s1JxS83MMilqS82hZmaZtBa0n1fQapmZZeOWmpll4u6nmZVKHqEmqQtYkC7Ojogz6i3DoWZmRdIREVM2pQCHmpll4u6nmZVKTrNJtUmaC3QA50fE7HoLcKiZWSY5TWY8ISLaJR0A3CZpt4joqKdeDjUzyySPyYwjoj398yFJzwETgUX11MuhZmaZ5DDv53YkAwUdkiYC44Gn6y3HoWZmRbEHMEPSWqALODkiVtdbSCFDbdKkSY2ugplVF7vtNkm17lvTThH3A7tnr1Kipbu7e1PLsBpJerjWawvWeP77ak5+9tPMSsWhZmal4lAzs1JxqJlZqTjUBtfGd09bsfnvqwl59NPMSsUtNTMrFYeamZWKQ83MSsWhliNJ4yTt1Oh6WH0kDWl0HSw7h1pOJH0AuBu4UdIPHG7FJ+mNABHR5WBrXg61HEgaBXwEOC0i3gm0AGdK2q+xNbO+SHov8KikW8DB1swcavnYAGwFbJ8u/wIYBpwkaVzDamW9kjQSOAE4E+iUdBM42JqV71PLiaT3ACcD84EbIuJpST8E1kbEJxpbO9uYpNcBq4E24Frg5Yg4obG1sizcUsvP74DfAq8HdkzXnQS8XtL2fR5lDRERyyJiVUT8DfgkMLKnxSbpTZJe39gaWq0cajmJiDXATOAx4AJJHwE+TPKK4s5G1s2qi4gXSIKtU9KfgP8kuaRgTcChlqOIWAF8D7gcmAa8GzgxIl5qZL2sf2mLbT6wDTCtZ0IQKz5fUxskkoYD3RHhVloTkLQ1cD3wlYhY0Oj6WO0camZ9kDQiItY2uh5WH4eamZWKr6mZWak41MysVBxqZlYqDrUSk9QlaZ6khZJ+nD4OtKllPiZpYsXy+yWdV8fxZ6XPxm7Sec364lArt46ImALslS6fOtAniIg7IuKSOg45C6g71MxqNbTRFbD8RUS3pN+RhpukqcAXgZXAHsBdEXGWpPcBFwIjgLsj4px0/88BHyd5OqKtp9z0WdapwB0R8emK9eNIJi0RsB44HtgZuIzksbF7JXUBR0bEc/We16wah9pmQNIw4EjglxWr3wa8JSIek7SNpLEkwTI1ItZI+qmkdwJLgE8AewNvAF65ETUiPirpY8D+G53yKuBXEfFdSVsBbRHxBDBF0p+Bd6R37JPlvGbVONTKbaSkeenv9wHfr9j2x4h4DCAiXpT0fpLwuF8SwBbp8jbA7yOiA1goKWo471SS51xJHwmr9ljYQQN4XjOHWsn1XFPrzcpe1v06Ij5cuULSMQNeq+Kc10rIAwXW4wHgnyVNAFBiHDAXOFhSm6Q3kVwn68+9JNfCkDRa0g4V214CtsvpvGYONUtExF+B04A7JS0geW3S6IgIkm7rI8BXgacAJE1Mu7ZfAT6Y3jpyZFrcGcB7Jc0nea/cthWnugq4XdLvJY2r97xm/fGzn2ZWKm6pmVmpONTMrFQcamZWKg41MysVh5qZlYpDzcxKxaFmZqXiUDOzUvn/TSJifPFIWtMAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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b315V6xKsBqp5SE3SEcCTwBhgqaTTgLeBZSRnY8zv7r3lhtqpwBXAd0nGtQ+ky8zMeiTpiS4Wz4mIOV1sOxb4IfBJkhvTEhFXp+tm9LSvcq/9XA7MLGdbM+sfKpkoiIip5WyXnvB/C3BeRCyStCNJz6zdWGBpqTbKfkK7pMOAXSPiGkljgK0j4uVy329mVoqkBuBaYG5E3JsufhzYO82crYDxwDOl2in3gvbZwARgP5Ljau13vv1QluLNrP5V4ZjaIcAxwJ7pMXyAaSR33P59+vrrEbGpVCPl9tQ+HhH7S3oKkjvfSvKdb836sd4OtYh4BBjUxaqb0q+y+M63ZpZJvV9R4Dvfmlld8J1vzSyTvN4ksuzZT5LJgfZfo6kKtZiZbbFyn/v5DeB+YDrJCXH3STq3moWZWb7V+yPyvgBMiYh18N4Jck+QnPVrZv1QTucJyr6g/TmS89Ta7Qy82PvlmFm9qPee2gHA85KC5JbeAl6WtABoi4iSV82bmfWVckPt8KpWYWZ1p95nPwd1vsutpKN6ugOlmVlfKzdrb5L0NQBJW0v6GT751qxfy+sxtXJD7RBgvKT7gf8HPBIR06pXlpnlXUNDQ1lffa2SUfFgkms/G+j6olMzs5orN9T+APx3RBxO8gCEAyT9pnplmVneDRhQ3ldfK3ei4JiIWAQQEWuA0yQdWb2yzCzv6vLkW0mHAKS31R3XafVWVavKzCyjnjqHV3T4ufPpG9/u5VrMrI7kdfazp+FnQzc/d/XazPqRuhx+kt7ptoufu3ptZlZzPfXU9pX0DkmvrCn9mfT1kKpWZma5VpeXSUVEY18VYmb1pV6Hn2ZmdaWS23mbmb2n3p8mZWa2mZxmmkPNzLJxqJlZoeQ11DxRYGaF4p6amWWS156aQ83MMnGomVmhONTMrFB6O9QkzQZOAN6IiMnpslZgQbrJwxFxZk/tONTMLJMq9NR+BfwSuK7DsuaI2K+SRjz7aWa5EBGPAm9uaTvuqZlZJn10mdQQSU8CzcAFEfFwT29wqJlZJpVkmqQnulg8JyLm9PDW8RGxTNKBwK2Sdo+I5lJvcKiZWSaVhFpETM2yj4hYln7/k6QlwETghVLvcaiZWSbVHn1K2o5koqBZ0kRgHLC4p/c51Mwskyqc0vFvwAxgtKRXgTnA5yWtB1qBU9JHdJbkUDOzXIiIrwJf7bT4kkrbcaiZWSa+osDMCsWh1s/8/Off55FH7mDYsJHMnn37e8ubm9dwzjnTmDbtRI46alYNK7SOhg1r4Nhjh9LU1EBLC9x33zpeeqmFceMamT69icZGWL68lZtvLnk2Qb/iUOtnPvCBf+BDH5rGVVf982bLb73139lll71rVJV1Z9MmuOuuZpYv38S22zZwyinb8KMfrWbGjCZ+/etmFi9uZejQnP4V14hDrZ/ZY4/9ef311zZbtmTJy7zzzlvsssteNarKurNmTRtr1iTP5161qo3GRthpp0bWrm1j8eJWANau9fO7O8rrg1d87Wcf+sUvfsSnP316rcuwHuy220CWLm1l+PAG1q1r4/jjh3Laadtw4IGDa12alaFqoSZptqTlkp6t1j7qybx5DzB27ES2335crUuxErbZpoEjjhjCnXeuY+DABiZMGMgddzRz7bXvcvDBgxk5Mp+9k1poaCjvq69Vc/jZ1W1E+q2FC5/h8cd/y7x5v2P16hU0NAxg5MjtOfTQo2pdmqUGDoSZM4fy29+uY8WKTYwc2cAbb7SyalUy7Fy6tJXRoxtZsaKlxpXmQ05Hn9ULtYh4NL20wYDjjjuL4447C4Cbb76SIUOGOtBy5lOfamLBgo0sXJiE1muvtbLttgNoampgw4Y2xoxpZMWK9TWuMj/6Xaj1d9dc8x0ef/w+Vq9eyemnf5RZsy5i6tSP1bos68aECY3stdcgRo9u5O/+Ljl2duONa7jnnmZOPHFrGhthwYKNvPnmphpXmh8OtS5IOhU4tZY1VMusWRcxa9ZFXa479tgz+rga68nixa1ccsk7/2P588+38Pzz79agovxzqHUhvZfSZvdTkuR5czPLzMNPM8skrz21ap7S8W/AH4A9JL0qaXq19mVmfa/fndLRzW1EzKwg8tpT8/DTzDLxZVJmZn3APTUzyySnHTWHmpll41Azs0JxqJlZoTjUzKxQ8hpqnv00s0JxT83MMslrT82hZmaZONTMrFAcamZWKHm9TMqhZmaZ5DTTPPtpZsXinpqZZZLXnppDzcwy6e1QkzQbOAF4IyImp8tmApcCbcC5EXFHT+14+GlmmVThzre/Aj7R/kLSYOB7wKHA4cDlknrMLIeamWXS26EWEY8Cb3ZYdBDwXEQsj4jFwCvAlJ7a8fDTzDKpJLAkPdHF4jnpE+W6MxZYKuk04G1gGbAjML/UvhxqZlZ1ETF1C957NYCkGeVs71Azs0z6YPZzKUnPrN3YdFlJDjUzy6QPQu1xYG9JY4CtgPHAMz29yaFmZpn09mVS6bOCZwCjJb0KnA58E/h9usnXI2JTT+041Mwsk97uqZV4VvBNlbTjUDOzTPJ6RYHPUzOzQnFPzcwyyWtPzaFmZpk41MysUBxqZlYoeQ01TxSYWaG4p2ZmmeS1p+ZQM7NMBgzIZ6p5+GlmheKempll4uGnmRVKXkPNw08zKxT31Mwsk7z21BxqZpbJgJyO83JalplZNu6pmVkmHn6aWaHkNdQ8/DSzQnFPzcwyyWtPzaFmZpn09tOkeotDzcwyyWmmOdTMLBuHmpkVSl5DzbOfZlYoueypfeYze9W6BDMrLXbffZLK3baqlXTS0NbW1pf769ckPRERU2tdh5XH/171ycNPMysUh5qZFYpDzcwKxaFmZoXiUOtbc2pdgFXE/151yLOfZlYo7qmZWaE41MysUBxqZlYoDrUqkjRW0s61rsMqI6mx1jVYdg61KpH0aeB+4HpJ1zjc8k/S+wAiotXBVr8calUgaShwAvCViPgY0ACcJemA2lZm3ZH0CeAZSXPBwVbPHGrVsQkYDoxKX98JDAK+KGlszaqyLklqAo4HzgI2SroBHGz1yuepVYmkfwROAZ4GrouIxZL+L7A+Ir5U2+qsM0k7AGuAIcDVwLqIOL62VVkW7qlVz0PAfcBOwI7psi8CO0ka1e27rCYiYnlEvBsRbwJfBprae2yS9pK0U20rtHI51KokItYCNwHPAt+SdALweWAcsLGWtVlpEfEWSbBtlPQi8GuSQwpWBxxqVRQRK4CfApcDM4D/BcyKiHdqWZf1LO2xPQ2MAGZExLLaVmTl8jG1PiJpMNAWEe6l1QFJ2wL/AVwSEQtqXY+Vz6Fm1g1JW0XE+lrXYZVxqJlZofiYmpkVikPNzArFoWZmheJQKzBJrZLmS3pO0i/Ty4G2tM1nJU3s8Hq6pG9W8P6z02tjt2i/Zt1xqBVbc0TsB0xOX5/W2zuIiNsj4rIK3nI2UHGomZVrYK0LsOqLiDZJD5GGm6TDgAuBVcD7gf+KiLMlHQVcBGwF3B8R56TbfwM4meTqiCHt7abXsh4G3B4RZ3RYPpbkoSUCWoDPAhOA2SSXjT0gqRWYFhFLKt2vWSkOtX5A0iBgGnBXh8WHAB+IiGcljZA0hiRYDouItZJulvQx4CXgS8AUYFfgvRNRI+ILkk4Cpnba5RXAPRFxlaThwJCI+Auwn6S/Ah9Nz9gny37NSnGoFVuTpPnpzw8CP+uwbl5EPAsQESslTScJj0clAWyTvh4BPBIRzcBzkqKM/R5Gcp0r6SVhpS4LO7gX92vmUCu49mNqXVnVxbLfRMTnOy6QdHSvV5Wf/VoBeaLA2j0G/L2k8QBKjAWeBD4kaYikvUiOk/XkAZJjYUjaWtL2Hda9A2xXpf2aOdQsERGvA18B7pC0gOS2SVtHRJAMW58CvgO8DCBpYjq0vQQ4Lj11ZFra3JnAJyQ9TXJfuZEddnUFcJukRySNrXS/Zj3xtZ9mVijuqZlZoTjUzKxQHGpmVigONTMrFIeamRWKQ83MCsWhZmaF4lAzs0L5/4oBXNc2mt6DAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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/LnBDj6s2M+vc28DBEbEHcCjwY0mDgEuAA9Npl0vqMreq7dQGRsTatjcR8W66MTPrp3p77zMimoCm9O1HgMEk925cGhGrACS9ArTdjbtDPdn9PIUPbgz5NZLnFeTitNOG57Vqy8FnP/t6rUuwGsjjkJqkEcCDJM9EOQkYC6yQNBdYDawkORtjcWfrqDbUTgGuBL5Psl97TzrNzKxbkh7tYPLCiFhYOSEi3gF2lzQVWAhckU6/Ol3P7O62Ve21n6uAOdUsa2b9Q08GCiJiZk/WHRFPS2oCVpB0Zm3GpdM6VfUT2iUdDOwYEddIGgtsGRHLelKomVln0luavRcRb0gaR/Jwp1eA3dLMGQxMAJ7saj3VXtC+AJgE7ElyXK3tzrcfy/oLmFl9y+GY2iRgoSSAAcD5ERGSLgAeSJc5OyJaulpJtZ3aIRGxl6THIbnzrSTf+dasH8th9PMhkmcKt5++CFhU7Xp851szy6TeryjwnW/NrC74zrdmlklRbxJZ9egnyeBA268xNIdazMw2W7XP/fwmcDdwBPA54C5J5+ZZmJkVW70/Iu8rwPSIeA/evyPuo8CleRVmZsVW0HGCqu/SsZTkHJI2E4Fner8cM6sX9d6pzQD+JClIbuktYJmkp4DWiJieV4FmZj1RbagdmmsVZlZ36n30c2D7u9xKOry7O1CamfW1arN2kaS/B5C0paSf4pNvzfq1oh5TqzbUDgAmSLob+L/A/RExK7+yzKzoGhoaqvrpaz3ZKx5Ecu1nA8mDEczMCqfaUHsIeC4iDiV5AMIMSb/LrywzK7rGxup++lq1AwVHRcQLABGxDpgr6dP5lWVmRVeXJ99KOgAgIl5IbzdUaXBuVZmZZdRdc3hlxev2p298p5drMbM6UtTRz+52Pxs6ed3RezPrR+py95P0TrcdvO7ovZlZzXXXqe0h6W2Srmxo+pr0/ZBcKzOzQqvLy6QiYkBfFWJm9aVedz/NzOpKT27nbWb2vnp/mpSZ2YcUNNMcamaWjUPNzEqlqKHmgQIzKxV3amaWSVE7NYeamWXiUDOzUnGomVmpONTMrFSKGmoe/TSzUnGnZmaZ+DIpMyuVgmaaQ83MsnGomVmp9HaopQ93WgRsDWwAzo+IuyTNAS4iudv2uRHR/nkpH+KBAjPLJIcHrzQDp0fEbsCRwLWSBgGXkDxv+FDgckld5pY7NTMrhIhYBaxKX0caaPsDS9N5SHoFmA4s7mw9DjUzyyTPY2qSDgP+CIwFVkiaC6wGVgLjcaiZWW/rSahJerSDyQsjYmEHy44DLgU+B8wAiIir03mzu9uWQ60PLF68mHnz5tHc3MxHP/pRrrzyyu4/ZH3uV78aTcQmAJYsaWLhwnUADB3awNVXb8Wtt77HLbesr2WJhdKTUIuImdUsJ2kIcBNwXkS8IGk8SWfWZhywoqt1ONRy1tLSwnnnncfFF1/MzJkzeeONN2pdknVi40Y444w1/2n6nDlDeeGFTX1fUMHlMPrZAPwMuCEi7kwnPwzsJmksMBiYADzZ1XocajlbsmQJo0aNYubM5B+q0aNH17gi64ntthvAVls18vzzzbUupXByuKLgAOAoYKqkU9Jps4ALgAfS92dHREtXK3Go5Wz58uWMGDGCE088kddff52jjz6a4447rtZlWQcGDYLLL9+KjRtbue66dSxd2swJJwxj4cJ1fOpTfnZ33iLifmBgB7MWpT9VyS3UJC0Ajgdei4hpeW2n6DZs2MBjjz3GHXfcwYgRIzjyyCP5xCc+waRJk2pdmrXz1a+uZs2aVnbaaQvmzRvBj360jldf3cRrr3XZGPRb/fGKgpuBG4Frc9xG4Y0ZM4YpU6aw7bbbAjBt2jRefPFFh1oBrVnTCsBzzzWzenULhxwymB122IJ99x3EyJGNtLbCm2+2cO+9G2pcaTH0u1CLiAclbZ/X+uvF9OnTWbFiBWvWrGHYsGE888wzTJw4sdZlWTvDhzewcWMrGzfC2LGNjB7dyIUXvsWGNL+OPXYY69e3OtAq9LtQs8SIESOYN28exx9/PE1NTRxxxBFMnjy51mVZOxMmDOCss4bT1AQtLXDFFWvfDzTrmEOtA+kIxyndLljnZs2axaxZs2pdhnXhz39uZu7cNZ3Ov+GGd/uumDrhUOtAejbxh84oltRao3LMrAS8+2lmmRS1U8vt1kOSrgIeAnaW9BdJR+S1LTPreznceqhX5Dn6eTpwel7rN7PaKmqn5t1PM8ukqA9e8Z1vzaxU3KmZWSYFbdQcamaWjUPNzErFoWZmpeJQM7NSKWqoefTTzErFnZqZZVLUTs2hZmaZONTMrFQcamZWKkW9TMqhZmaZFDTTPPppZuXiTs3MMilqp+ZQM7NMHGpmVioONTMrFYeamZVKUUPNo59mViru1Mwsk6J2ag41M8vEoWZmpeLLpMysVAqaaQ41M8umqKHm0U8zKxV3amaWSVE7NYeamWXiUDOzUuntUJO0ADgeeC0ipqXT5gAXAa3AuRFxW3fr8TE1M8ukoaG6nx64GfhM2xtJg4BLgAOBQ4HLJXWbWQ41MyuEiHgQeL1i0r7A0ohYFREvA68A07tbj3c/zSyTnnRhkh7tYPLCiFjYxcfGASskzQVWAyuB8cDirrblUDOzTBobq0+1iJiZdTsRcTWApNnVLO/dTzMrqhUknVmbcem0LrlTM7NM+uCUjoeB3SSNBQYDE4Anu/uQQ83MMsnhlI6rgNnAGEl/AU4DLgAeSBc5OyJauluPQ83MCiEiTgdO72DWop6sx6FmZpn4igIzK5XGgg4zFrQsM7Ns3KmZWSbe/TSzUilqqHn308xKxZ2amWVS1E7NoWZmmfhpUmZWKgXNNIeamWXjUDOzUilqqHn008xKpZCd2pQpU2pdgpl1LXbaaYqqXTbXStppaG1t7cvt9WuSHt2cO4Ba3/J/r/rk3U8zKxWHmpmVikPNzErFoWZmpeJQ61tdPePQisf/veqQRz/NrFTcqZlZqTjUzKxUHGpmVioOtRxJGidpYq3rsJ6RNKDWNVh2DrWcSPoCcDdwnaRrHG7FJ+mjABGxycFWvxxqOZA0DDge+EZEfBJoAM6UNKO2lVlnJH0GeFLSDeBgq2cOtXy0ACOB0en73wADgZMkjatZVdYhSUOB44AzgSZJ14ODrV75PLWcSPpb4OvAE8C1EfGypH8FNkTEybWtztqTtA2wDhgCXA28FxHH1bYqy8KdWn7uA+4CtgXGp9NOAraVNLrTT1lNRMSqiFgbEa8DpwJD2zo2SbtK2ra2FVq1HGo5iYh3gUXAEuBbko4HvgxsBzTVsjbrWkS8QRJsTZKeAX5FckjB6oBDLUcR8SbwE+ByYDbw34CvRcTbtazLupd2bE8AWwGzI2JlbSuyavmYWh+RNAhojQh3aXVA0keAfwG+GxFP1boeq55DzawTkgZHxIZa12E941Azs1LxMTUzKxWHmpmVikPNzErFoVZikjZJWixpqaQb08uBNnedSyRtX/H+CEkX9ODzZ6XXxm7Wds0641Art/URsScwLX0/t7c3EBG/joiLe/CRs4Aeh5pZtbaodQGWv4holXQfabhJOhiYB7wF7AL8e0ScJelw4NvAYODuiDgnXf6bwIkkV0cMaVtvei3rwcCvI+LvKqaPI3loiYBm4BhgErCA5LKxeyRtAmZFxPKebtesKw61fkDSQGAWcHvF5AOA/xoRSyRtJWksSbAcHBHvSvqlpE8CLwInA9OBHYH3T0SNiK9IOgGY2W6TVwK/jYgfSxoJDImIZ4E9Jb0E/E16xj5ZtmvWFYdauQ2VtDh9fS/w04p5j0XEEoCIWCPpCJLweFASwPD0/VbA/RGxHlgqKarY7sEk17mSXhLW1WVh+/Xids0caiXXdkytI291MO13EfHlygmSjuz1qoqzXSshDxRYmz8AH5c0AUCJccAfgY9JGiJpV5LjZN25h+RYGJK2lPRfKua9DYzKabtmDjVLRMRfgW8At0l6iuS2SVtGRJDstj4OfA9YBiBp+3TX9rvA0empI7PS1Z0BfEbSEyT3ldu6YlNXArdKul/SuJ5u16w7vvbTzErFnZqZlYpDzcxKxaFmZqXiUDOzUnGomVmpONTMrFQcamZWKg41MyuV/w8CBntNk+WNmAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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ZNg5BMyu0VglBzw6bWaENOhKU9IbBPo+IqrekmFlrapWRYLXD4TuAXqADeCMQQBsg4Clg31x7Z2ZNq1VCcNDD4Yh4S0TMAJYAMyLiTRHxRuAt6TIzK6ihfqhqo9Q6MXIQ8GTJ+xUkz/s3s4IaCQFXi1pD8AZgmaRfkhwOvwP4QV6dMrPmV6gQjIh/krQAmElyjvAyT4qYWSuo5xKZfYCdI+LfgM2S9smnS2Y2Eowa1VbTT7OrKQTTeqCfAi5OF3UAN+fVKTOz4VLrOcGjIuJQSX+A5PpASRNy7JeZNbm8i6+ny+oqpi5pFjCf5LTdhRFxW7V2aw3BrZI60h0jaS+Sx1ebWUHlMDHSr/h6quZi6pLGAlcAhwPjgPsk3RERPYNtV+s5wa8A9wN7S/oX4FfA52vc1sysqirF12txGLA8IjrTiduVwIxqG9U6O3y7pP8kSViACyJibeaumtmIN0yXyNRTTH0KsFrSHGAdsIakGNOSwRqoKQQlTUnred5WsmxyRPy1lu3NrPXUU3JzO4qv111MPSKuSds8pZa+1XpO8E6SawRL3Qr81xq3N7MCy1p8vc5i6qvpX4ZzSrpsUNWeItMB7ACMlrQzyd0iAJPSHzMrqLwPh6sVUy8vvg48CBwoaTLJxMhU4KFq7VQbCX4SmEeSrr/n1RB8Afhmjb+LmbWgHC6RKS++fi1wxiDF1PsVX4+IrZIuJpm4BTi/2swwVAnBiPg28G1Jf4iIigWQzcyGwgDF1788yPpnVVi2AFhQT7u1nhP8TD07NbPW1yrV5mqd3wlJu/a9kbSrpOk59cnMRoBRo2r7aXa1dvH/AptL3r8M3DL03TEzG161hmB7RGzoexMRLwNj8+mSmY0ERXuydEiazasPUv0YSb2RXHz1qzvmtWvLwYknbs+dTjZSjYSAq0WtI8HZwNHAKuAvwLvTZWZmI1qt9w53ArNy7ouZjSAjYdKjFjX/GpKOlPSx9PVkP1nazFpBrQ9QuBJ4A3AIyXnBvidL/21uPTOzpla0c4JHRcQsYCMkT5YG/GRpswIr2uywnyxtZv20yh0jtYZg+ZOl/w44N7demZkNEz9Z2swyaZXZ4VpHgpBMhvT92uNz6IuZ2bCrte7wRcC9wEnA+4B7JF2YZ8fMrLkVbWLko8CMiNgMrzxx+nfAN/LqmJk1t5EQcLWoNQSXk1wn+ET6fm/g8Vx6ZGYjQt7F19OrUBYAOwNbgM9FxD1V9lFXsXaoPQRnAo9ICpJH7At4WtIyoDciqtb2NDOrorz4ehdwXkQslSRgEUmdkcHUXKy9T60heHQ9OzWz1jfUs8MRsSgtqNT3vhPoTF+HpLGSxkXElqFst9YQbI+IJ0sXSHpvRNw20AZmZkNF0rHA4hoCsJ5i7UDtIbhA0g0RcZWkCcB3SCo9OQTNCqqec4LbUXwdSVNIJmHfV0NTdRdrrzUEjwC+JOlekpOUV0XE9TVua2YtqJ7b5rIWX0+vRLkV+ExErKihnXqKtQN1PEqL5HH6vSQTI+11bGdmVjdJbcD1wC0RcVeFzy/vK8Cevt9F0vj09TTKirUPpNYQ/DXwx4g4GngnMFPS3TVua2YtaKirzaXF138N7JcWX/8CcBowW9KS9GfPkk32oH8B9v2BJZIeAhby2mLtFdV6OHxa31A03ekcScfVuK2ZtaChvk5we4uvR8QiYL962x00pyUdke58RXrhYqlx9TZmZtZsqg1Wryp5XT4T/MUh7ouZjSBFuXe4bYDXld6bWYGMhICrRbWRYO8Aryu9NzMbcaqNBA+W9CLJqG98+pr0fUeuPTOzplaIh6pGxOjh6oiZjSxFORw2M2tp9Txe38zsFUWrNmdm1k+LZKBD0MyycQiaWaG1Sgh6YsTMCs0jQTPLpFVGgg5BM8vEIWhmheYQNLNCy7vucLpsFjCf5FkFF1Yr7lbv+uCJETPLKIdHaf0EOKHvjaSxwBUkT7M/GviWpAEzq971+zgEzawppE+GfrZk0WHA8ojojIhngJXAjEF2Ue/6gA+HzSyjYbhtbgqwWtIcYB2whqSmyJIhWh9wCJpZRsNVdzgirkn3cUotbdW7vkPQzDKpJwQz1h1eTf9qclPSZUO1PuAQNLOMhuESmQeBAyVNJinsNhV4qO/DvprDEXFJLesPxCFoZpnkcInMd4FTgF3TusOfAi4GfpWucn5E9JRsUjrqIyK2Shps/YocgmbWFAaoOwywYID1z6qwbMFA6w/EIWhmmfiOETMrNIeg1eT555/n7LPPpquri7a2NubOncsxxxzT6G5ZmUmTRnHRRa9j4sQ2tm2DG27YyJIl2/jpTycR0Q3Aww9v49prNza4p83DIWg1mThxIjfffDMTJkxg3bp1nHDCCRx11FGMapV6hS2iu7uXa67ZwNNPd7PbbqO48sodOfPM59m6FebOXd/o7jUlh6DVpL29nfb2dgBeeukltm7dSldXF2PHjm1wz6zU+vW9rF+fjPjWru1hzJg2xvhvx6BcaMlqtmHDBmbNmsXKlSu5/PLLHYBNbubMdlas6KKrC8aOhW99aye2bu3lxhs3snx5V6O7Z0Mst2MySVdK6pT0cF5tjBQTJ07kzjvvZOHChdx0001s27at0V2yAey0UxvnnDOBq6/eAMCZZ65j3rz1XHfdRj772dfhf79elcNTZBoizxNT/R6LYzB9+nTGjBnDY4891uiuWAXt7XDJJa/n+9/fyJo1yTW269f3AvDHP3axbl0PkyePbmQXm4pDsIoKj8UppDVr1vD8888DsHbtWp588kl23333BvfKKpk373Xcf/8WFi9ORuoTJ7a9MvKbPHkUkyaNYu3a7gb2sLm0Sgj6nGDOVq1axaWXXgpAd3c3F110EZMnT25wr6zcAQeM4YgjxrL33qM57rgOAK6+egPz5k1k2zbo6YHvfGcDW7Y0uKNNZCQEXC0aGoKSZgOzG9mHvM2cOZM777yz0d2wKh55pIv3v/+51yyfM2f98HdmhHAIDoH0WWL9nicmqbdB3TGzAvLhsJll0iojwTwvkfku8GtgP0l/lnRSXm2Z2fDzxEgVgzwWx8xawEgIuFr4cNjMMvFtc2ZmQ0jSsSR1g/scALw9IpYMsH43sCx9+0BEzM3SrkPQzDIZ6oFgRNwN3A0gaQ+SYFsyyCabIuKQ7W3XIWhmmeR8NPxB4NZcW0g5BM0sk5xD8AzgnCrrdEhaDGwCLomIB7I05BA0s0zyKr4uaT9gh4hYWmW3UyNijaS3AQsl7RsRm2rvVcIhaGaZ5Fh8/XRqqBgXEWvSP38raRUwDXi0jnYAh6CZNZ/TgRNLF5QXWpe0C8nEyCZJ04C9gGeyNOYQNLNM8jgnKOkwYENEPF720R5l7/cHrpe0BegGPh4RmapgOQTNLJM8QjAi/hM4tMLys8reLwL2G4o2HYJmlkmL3DDiEDSzbHzbnJkVWotkYK6FlszMmp5HgmaWSauMBB2CZpaJQ9DMCs0haGaF5hA0s0JrlRD07LCZFZpHgmaWSauMBB2CZpaJQ9DMCs23zZlZobVIBjoEzSybVglBzw6bWaF5JGhmmeT0ZOmaC6pLmgXMB3qBCyPitixtOgTNLJOcDodrKqguaSxwBXA4MA64T9IdEdFTb4M+HDazTNraavvJyWHA8ojojIhngJXAjCw78kjQzDLJKeBqLag+BVgtaQ6wDlhDUoxpSb0NOgTNLHd1FF+vq6B6RFyT7v+UrH1zCJpZJnkUX6+joPpq+pfhnJIuq5tD0MwyGTVqaI+HByuoXl58HXgQOFDSZJKJkanAQ1nadQiaWbMYrKB6v+LrEbFV0sXAr9JF52eZGQaHoJllNNQTI4MVVC8vvp4uWwAs2N52HYJmlolvmzMzawEeCZpZJq0yEnQImlkmo1rkOLJFfg0zs2w8EjSzTHw4bGaF1ioh6MNhMys0jwTNLJNWGQk6BM0sE1ebM7NCa5EMdAiaWTYOQTMrtFYJQc8Om1mhNeVIcPr06Y3ugpkNLvbdd7pqXTfXnmyntt7e3kb3oTAk/a7Wx4xb4/m/VzH4cNjMCs0haGaF5hA0s0JzCJpZoTkEh1d5oWlrbv7vVQCeHTazQvNI0MwKzSFoZoXmEDSzQnMI5kjSFEl7N7ofVh9JoxvdBxs+DsGcSDoVuBe4UdIPHIbNT9J/AYiIbgdhcTgEcyBpB+AjwLkR8W6gDfi0pJmN7ZkNRNIJwEOSbgEHYZE4BPPRA7wemJS+vx1oB86RNKVhvbKKJI0HPgx8Gtgm6SZwEBaFrxPMiaT3AB8HlgI3RMQzkv4PsCUiPtHY3lk5SbsDG4EO4Bpgc0R8uLG9suHgkWB+7gfuAfYE9kiXnQPsKWnSgFtZQ0REZ0RsiIhngU8C4/tGhJIOkLRnY3toeXEI5iQiXgYWAA8Dl0r6CHAGsBewrZF9s8FFxHMkQbhN0uPAT0lOcVgLcgjmKCKeB64DvgWcAvwD8LGIeLGR/bLq0hHhUmAn4JSIWNPYHllefE5wmEgaC/RGhEeBI4CkHYHvAV+OiGWN7o/lxyFoNgBJ4yJiS6P7YflyCJpZofmcoJkVmkPQzArNIWhmheYQbGGSuiUtkbRc0g/T28O2d58PS5pW8v4kSRfXsf289N7q7WrXbKg4BFvbpog4BDgofT9nqBuIiJ9FxNfq2GQeUHcImuVlTKM7YPmLiF5J95OGoaQjgc8DLwD7A/8eEfMkvRf4AjAOuDciLkjXvwg4m+Tul46+/ab3Qh8J/Cwi/rFk+RSSIkUCuoAPAW8AriS5jfA+Sd3A8RGxqt52zYaSQ7AAJLUDxwN3lCw+Anh7RDwsaSdJk0mC6MiIeFnSjyW9G3gK+AQwA3gj8MqFwxHxUUlnAW8ta/Iq4OcR8b8kvR7oiIgngEMk/Qn4+/SODLK0azaUHIKtbbykJenrXwDfL/ns9xHxMEBErJd0EknYLJIEMDF9vxPwy4jYBCyXFDW0eyTJfdKktwgOdpvg4UPYrlndHIKtre+cYCUvVFh2d0ScUbpA0slD3qvmadfMEyP2it8AfydpKoASU4DFwN9K6pB0AMl5vmruIzmXh6QJknYr+exFYJec2jWrm0PQAIiIvwLnArdJWkbyGLAJEREkh9F/AL4CPA0gaVp6qP1l4L+ll+Icn+5uLnCCpKUkz1XcuaSpq4B/k/RLSVPqbddsqPneYTMrNI8EzazQHIJmVmgOQTMrNIegmRWaQ9DMCs0haGaF5hA0s0JzCJpZof1/BNErl/gc/4EAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "grp = 0\n",
    "for i in range(len(unique_groups)):\n",
    "    outer_test_index = list(np.where(df[\"Country\"]==unique_groups[i])[0])\n",
    "    \n",
    "    inner_group_list = []\n",
    "    inner_group_list.append(unique_groups[:i] + unique_groups[i+1:])\n",
    "    \n",
    "    outer_train_index = list(np.where(df[\"Country\"]!=unique_groups[i])[0])\n",
    "    \n",
    "    #Training dataset\n",
    "    outer_train_X = X.iloc[outer_train_index]\n",
    "    outer_train_y = y[outer_train_index]\n",
    "    \n",
    "    #Test dataset\n",
    "    outer_test_X =  X.iloc[outer_test_index]\n",
    "    outer_test_y =  y[outer_test_index]\n",
    "    \n",
    "    for k,name in enumerate(inner_group_list[0]):\n",
    "        inner_val_index = list(np.where(df[\"Country\"]==name)[0])\n",
    "        \n",
    "        inner_train_names = []\n",
    "        inner_train_names.append(inner_group_list[:k] + inner_group_list[k+1:])\n",
    "        \n",
    "        inner_train_index = list(np.where((df[\"Country\"]!=name) & (df[\"Country\"]!=unique_groups[i]))[0])\n",
    "    \n",
    "        #Inner training dataset\n",
    "        inner_train_X = X.iloc[inner_train_index]\n",
    "        inner_train_y = y[inner_train_index]\n",
    "        \n",
    "        #Inner validation dataset\n",
    "        inner_val_X =  X.iloc[inner_val_index]\n",
    "        inner_val_y =  y[inner_val_index]\n",
    "                \n",
    "        \n",
    "        # Feyn\n",
    "        models = ql.auto_run(inner_train_X, output_name = 'condition', kind = 'classification', n_epochs=10)\n",
    "        best = models[0]\n",
    "        \n",
    "        y_pred = best.predict(inner_val_X)\n",
    "\n",
    "        RF_AUC_test_score = best.roc_auc_score(inner_val_X)\n",
    "\n",
    "        #Adding auc to dataframe\n",
    "        AUC_scores.at[unique_groups[i], name] = RF_AUC_test_score\n",
    "\n",
    "        if show_fold_stats:\n",
    "            print('-' * 80)\n",
    "            print('Fold : %s'%(k+1),name)\n",
    "            print('ROC AUC score for RandomForest model, validation set: %.4f'%RF_AUC_test_score)\n",
    "            print(best.plot_confusion_matrix(inner_val_X))\n",
    "            \n",
    "    \n",
    "    #Feyn on logo_test data\n",
    "    models = ql.auto_run(outer_train_X, output_name = 'condition', kind = 'classification', n_epochs=50)\n",
    "    best = models[0]\n",
    "    \n",
    "    y_pred = best.predict(outer_test_X)\n",
    "\n",
    "    RF_AUC_test_score = best.roc_auc_score(outer_test_X)\n",
    "\n",
    "    #Adding auc to dataframe\n",
    "    AUC_scores.at[unique_groups[i], unique_groups[i]] = RF_AUC_test_score\n",
    "    \n",
    "    #Getting AUCROC data\n",
    "    fpr, tpr, _ = roc_curve(outer_test_y,  y_pred)\n",
    "\n",
    "    #Adding roc curve values to dataframe\n",
    "    ROC_curve.at[unique_groups[i], \"fpr\"] = \",\".join(str(x) for x in fpr)\n",
    "    ROC_curve.at[unique_groups[i], \"tpr\"] = \",\".join(str(x) for x in tpr)\n",
    "    ROC_curve.at[unique_groups[i], \"auc\"] = RF_AUC_test_score\n",
    "    \n",
    "\n",
    "    if show_fold_stats:\n",
    "        print('-' * 80)\n",
    "        print('-' * 80)\n",
    "        print('Group : %s'%(grp+1),unique_groups[i])\n",
    "        print('ROC AUC score for RandomForest model, LOGO test set: %.4f'%RF_AUC_test_score)\n",
    "        print(best)\n",
    "        print(best.plot_confusion_matrix(outer_test_X))\n",
    "        print('-' * 80)\n",
    "        print('-' * 80)\n",
    "        grp += 1\n",
    "        "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "48727aee",
   "metadata": {},
   "source": [
    "# Results and plots"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "401268e7",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>AT-CRC_species</th>\n",
       "      <th>CN-CRC_species</th>\n",
       "      <th>DE-CRC_species</th>\n",
       "      <th>FR-CRC_species</th>\n",
       "      <th>IT-CRC-2_species</th>\n",
       "      <th>IT-CRC_species</th>\n",
       "      <th>JP-CRC_species</th>\n",
       "      <th>US-CRC_species</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>AT-CRC_species</th>\n",
       "      <td>0.81677</td>\n",
       "      <td>0.818193</td>\n",
       "      <td>0.798611</td>\n",
       "      <td>0.697804</td>\n",
       "      <td>0.768973</td>\n",
       "      <td>0.672414</td>\n",
       "      <td>0.790938</td>\n",
       "      <td>0.64608</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>CN-CRC_species</th>\n",
       "      <td>0.789165</td>\n",
       "      <td>0.78003</td>\n",
       "      <td>0.778889</td>\n",
       "      <td>0.792453</td>\n",
       "      <td>0.74442</td>\n",
       "      <td>0.611351</td>\n",
       "      <td>0.797187</td>\n",
       "      <td>0.655325</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>DE-CRC_species</th>\n",
       "      <td>0.896308</td>\n",
       "      <td>0.80005</td>\n",
       "      <td>0.767917</td>\n",
       "      <td>0.774204</td>\n",
       "      <td>0.826451</td>\n",
       "      <td>0.649425</td>\n",
       "      <td>0.799375</td>\n",
       "      <td>0.697855</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>FR-CRC_species</th>\n",
       "      <td>0.802622</td>\n",
       "      <td>0.87037</td>\n",
       "      <td>0.791806</td>\n",
       "      <td>0.723631</td>\n",
       "      <td>0.783482</td>\n",
       "      <td>0.649425</td>\n",
       "      <td>0.823125</td>\n",
       "      <td>0.695266</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>IT-CRC-2_species</th>\n",
       "      <td>0.892857</td>\n",
       "      <td>0.773023</td>\n",
       "      <td>0.780556</td>\n",
       "      <td>0.783174</td>\n",
       "      <td>0.710938</td>\n",
       "      <td>0.630747</td>\n",
       "      <td>0.771875</td>\n",
       "      <td>0.705806</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>IT-CRC_species</th>\n",
       "      <td>0.908213</td>\n",
       "      <td>0.80518</td>\n",
       "      <td>0.828056</td>\n",
       "      <td>0.816888</td>\n",
       "      <td>0.737723</td>\n",
       "      <td>0.609195</td>\n",
       "      <td>0.797187</td>\n",
       "      <td>0.715237</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>JP-CRC_species</th>\n",
       "      <td>0.889924</td>\n",
       "      <td>0.809935</td>\n",
       "      <td>0.767083</td>\n",
       "      <td>0.803897</td>\n",
       "      <td>0.80692</td>\n",
       "      <td>0.577586</td>\n",
       "      <td>0.780625</td>\n",
       "      <td>0.686021</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>US-CRC_species</th>\n",
       "      <td>0.796756</td>\n",
       "      <td>0.811311</td>\n",
       "      <td>0.75875</td>\n",
       "      <td>0.721466</td>\n",
       "      <td>0.734933</td>\n",
       "      <td>0.62069</td>\n",
       "      <td>0.75375</td>\n",
       "      <td>0.695266</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                 AT-CRC_species CN-CRC_species DE-CRC_species FR-CRC_species  \\\n",
       "AT-CRC_species          0.81677       0.818193       0.798611       0.697804   \n",
       "CN-CRC_species         0.789165        0.78003       0.778889       0.792453   \n",
       "DE-CRC_species         0.896308        0.80005       0.767917       0.774204   \n",
       "FR-CRC_species         0.802622        0.87037       0.791806       0.723631   \n",
       "IT-CRC-2_species       0.892857       0.773023       0.780556       0.783174   \n",
       "IT-CRC_species         0.908213        0.80518       0.828056       0.816888   \n",
       "JP-CRC_species         0.889924       0.809935       0.767083       0.803897   \n",
       "US-CRC_species         0.796756       0.811311        0.75875       0.721466   \n",
       "\n",
       "                 IT-CRC-2_species IT-CRC_species JP-CRC_species US-CRC_species  \n",
       "AT-CRC_species           0.768973       0.672414       0.790938        0.64608  \n",
       "CN-CRC_species            0.74442       0.611351       0.797187       0.655325  \n",
       "DE-CRC_species           0.826451       0.649425       0.799375       0.697855  \n",
       "FR-CRC_species           0.783482       0.649425       0.823125       0.695266  \n",
       "IT-CRC-2_species         0.710938       0.630747       0.771875       0.705806  \n",
       "IT-CRC_species           0.737723       0.609195       0.797187       0.715237  \n",
       "JP-CRC_species            0.80692       0.577586       0.780625       0.686021  \n",
       "US-CRC_species           0.734933        0.62069        0.75375       0.695266  "
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "AUC_scores"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "b6feff72",
   "metadata": {},
   "outputs": [],
   "source": [
    "AUC_scores = AUC_scores.apply(pd.to_numeric, errors='coerce')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "d04d8142",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x720 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(12,10))\n",
    "sns.set_palette(\"husl\", 8)\n",
    "ax = sns.heatmap(AUC_scores, annot = True, cmap=\"crest\", vmin=0.6, vmax=1.0, annot_kws={\"fontsize\":14})\n",
    "ax.set(xlabel=\"Validation Datasets\", ylabel=\"Test Datasets\")\n",
    "ax.tick_params(axis='x', rotation=45)\n",
    "plt.savefig(\"plots/LOSO_FEYN_1.jpg\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "30cc75f1",
   "metadata": {},
   "source": [
    "# ROC curves"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "e9ecc1a3",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>fpr</th>\n",
       "      <th>tpr</th>\n",
       "      <th>auc</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>AT-CRC_species</th>\n",
       "      <td>0.0,0.0,0.0,0.021739130434782608,0.02173913043...</td>\n",
       "      <td>0.0,0.031746031746031744,0.09523809523809523,0...</td>\n",
       "      <td>0.81677</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>CN-CRC_species</th>\n",
       "      <td>0.0,0.13513513513513514,0.14864864864864866,0....</td>\n",
       "      <td>0.0,0.18518518518518517,0.18518518518518517,0....</td>\n",
       "      <td>0.78003</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>DE-CRC_species</th>\n",
       "      <td>0.0,0.08333333333333333,0.11666666666666667,0....</td>\n",
       "      <td>0.0,0.38333333333333336,0.38333333333333336,0....</td>\n",
       "      <td>0.767917</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>FR-CRC_species</th>\n",
       "      <td>0.0,0.0,0.018867924528301886,0.018867924528301...</td>\n",
       "      <td>0.0,0.01639344262295082,0.01639344262295082,0....</td>\n",
       "      <td>0.723631</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>IT-CRC-2_species</th>\n",
       "      <td>0.0,0.25,0.25,0.28125,0.28125,0.34375,0.34375,...</td>\n",
       "      <td>0.0,0.4642857142857143,0.5357142857142857,0.53...</td>\n",
       "      <td>0.710938</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>IT-CRC_species</th>\n",
       "      <td>0.0,0.06896551724137931,0.06896551724137931,0....</td>\n",
       "      <td>0.0,0.0,0.08333333333333333,0.0833333333333333...</td>\n",
       "      <td>0.609195</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>JP-CRC_species</th>\n",
       "      <td>0.0,0.05,0.05,0.075,0.075,0.1,0.1,0.15,0.15,0....</td>\n",
       "      <td>0.0,0.1,0.325,0.325,0.475,0.475,0.55,0.55,0.65...</td>\n",
       "      <td>0.780625</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>US-CRC_species</th>\n",
       "      <td>0.0,0.019230769230769232,0.057692307692307696,...</td>\n",
       "      <td>0.0,0.07692307692307693,0.07692307692307693,0....</td>\n",
       "      <td>0.695266</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                                                                fpr  \\\n",
       "AT-CRC_species    0.0,0.0,0.0,0.021739130434782608,0.02173913043...   \n",
       "CN-CRC_species    0.0,0.13513513513513514,0.14864864864864866,0....   \n",
       "DE-CRC_species    0.0,0.08333333333333333,0.11666666666666667,0....   \n",
       "FR-CRC_species    0.0,0.0,0.018867924528301886,0.018867924528301...   \n",
       "IT-CRC-2_species  0.0,0.25,0.25,0.28125,0.28125,0.34375,0.34375,...   \n",
       "IT-CRC_species    0.0,0.06896551724137931,0.06896551724137931,0....   \n",
       "JP-CRC_species    0.0,0.05,0.05,0.075,0.075,0.1,0.1,0.15,0.15,0....   \n",
       "US-CRC_species    0.0,0.019230769230769232,0.057692307692307696,...   \n",
       "\n",
       "                                                                tpr       auc  \n",
       "AT-CRC_species    0.0,0.031746031746031744,0.09523809523809523,0...   0.81677  \n",
       "CN-CRC_species    0.0,0.18518518518518517,0.18518518518518517,0....   0.78003  \n",
       "DE-CRC_species    0.0,0.38333333333333336,0.38333333333333336,0....  0.767917  \n",
       "FR-CRC_species    0.0,0.01639344262295082,0.01639344262295082,0....  0.723631  \n",
       "IT-CRC-2_species  0.0,0.4642857142857143,0.5357142857142857,0.53...  0.710938  \n",
       "IT-CRC_species    0.0,0.0,0.08333333333333333,0.0833333333333333...  0.609195  \n",
       "JP-CRC_species    0.0,0.1,0.325,0.325,0.475,0.475,0.55,0.55,0.65...  0.780625  \n",
       "US-CRC_species    0.0,0.07692307692307693,0.07692307692307693,0....  0.695266  "
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ROC_curve"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "6e4207df",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(10,10))\n",
    "\n",
    "for i in ROC_curve.index:\n",
    "    plt.plot([float(s) for s in ROC_curve.loc[i]['fpr'].split(\",\")], \n",
    "             [float(s) for s in ROC_curve.loc[i]['tpr'].split(\",\")], \n",
    "             label=\"{}, AUC={:.2f}\".format(i, ROC_curve.loc[i]['auc']))\n",
    "\n",
    "plt.plot([0,1], [0,1], color='orange', linestyle='--')\n",
    "\n",
    "plt.xticks(np.arange(0.0, 1.1, step=0.1))\n",
    "plt.xlabel(\"Flase Positive Rate\")#, fontsize=15)\n",
    "\n",
    "plt.yticks(np.arange(0.0, 1.1, step=0.1))\n",
    "plt.ylabel(\"True Positive Rate\")#, fontsize=15)\n",
    "\n",
    "plt.legend(prop={'size':10}, loc='lower right')\n",
    "plt.savefig(\"plots/LOSO_FEYN_2.jpg\")\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.8"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}