4-Feature-Selection-and-Regression-Performance.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "b58059b6",
   "metadata": {},
   "source": [
    "# Load Dependencies"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "d954dd08",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2022-11-21T07:47:13.898782Z",
     "start_time": "2022-11-21T07:47:13.395999Z"
    }
   },
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "from sklearn.ensemble import ExtraTreesRegressor\n",
    "from sklearn.model_selection import KFold\n",
    "from sklearn.feature_selection import RFECV\n",
    "from sklearn.metrics import r2_score,mean_absolute_error\n",
    "from scipy.stats import pearsonr\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "%matplotlib notebook\n",
    "random_seed = 2022"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2f0b4442",
   "metadata": {},
   "source": [
    "# Data Load"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "99f55726",
   "metadata": {},
   "source": [
    "The details of the collected dataset"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "2593a708",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2022-11-21T07:47:15.632425Z",
     "start_time": "2022-11-21T07:47:15.546665Z"
    },
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
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       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Biaryl</th>\n",
       "      <th>mole of Biaryl/mmol</th>\n",
       "      <th>Olefin</th>\n",
       "      <th>mole of Olefin/mmol</th>\n",
       "      <th>Product</th>\n",
       "      <th>Catalyst</th>\n",
       "      <th>Catalyst Concentration/%</th>\n",
       "      <th>TDG</th>\n",
       "      <th>TDG Concentration/%</th>\n",
       "      <th>Additive</th>\n",
       "      <th>...</th>\n",
       "      <th>Solvent Ratio</th>\n",
       "      <th>Volume of Solvent/ml</th>\n",
       "      <th>Reaction Time/h</th>\n",
       "      <th>Anode</th>\n",
       "      <th>Cathode</th>\n",
       "      <th>Current(mA)</th>\n",
       "      <th>Temperature</th>\n",
       "      <th>Yield</th>\n",
       "      <th>ee</th>\n",
       "      <th>ddG(kcal/mol)</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>O=Cc1ccccc1-c1cccc2ccccc12</td>\n",
       "      <td>0.2</td>\n",
       "      <td>C=CC(=O)OCCCC</td>\n",
       "      <td>0.6</td>\n",
       "      <td>CCCCOC(=O)/C=C/c1ccc2ccccc2c1-c1ccccc1C=O</td>\n",
       "      <td>CC(=O)[O-].CC(=O)[O-].[Pd+2]</td>\n",
       "      <td>10</td>\n",
       "      <td>CC(C)(C)[C@H](N)C(=O)O</td>\n",
       "      <td>20</td>\n",
       "      <td>CCCC[N+](CCCC)(CCCC)CCCC.F[P-](F)(F)(F)(F)F</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>4.5</td>\n",
       "      <td>14</td>\n",
       "      <td>grahite felt</td>\n",
       "      <td>Pt</td>\n",
       "      <td>1.5</td>\n",
       "      <td>60</td>\n",
       "      <td>0.57</td>\n",
       "      <td>0.99</td>\n",
       "      <td>3.507522</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>O=Cc1ccccc1-c1cccc2ccccc12</td>\n",
       "      <td>0.2</td>\n",
       "      <td>C=CC(=O)OCCCC</td>\n",
       "      <td>0.6</td>\n",
       "      <td>CCCCOC(=O)/C=C/c1ccc2ccccc2c1-c1ccccc1C=O</td>\n",
       "      <td>CC(=O)[O-].CC(=O)[O-].[Pd+2]</td>\n",
       "      <td>10</td>\n",
       "      <td>CC(C)(C)[C@H](N)C(=O)O</td>\n",
       "      <td>20</td>\n",
       "      <td>CCCC[N+](CCCC)(CCCC)CCCC.F[P-](F)(F)(F)(F)F</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>4.5</td>\n",
       "      <td>14</td>\n",
       "      <td>grahite felt</td>\n",
       "      <td>Pt</td>\n",
       "      <td>0.0</td>\n",
       "      <td>60</td>\n",
       "      <td>0.20</td>\n",
       "      <td>0.99</td>\n",
       "      <td>3.507522</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>O=Cc1ccccc1-c1cccc2ccccc12</td>\n",
       "      <td>0.2</td>\n",
       "      <td>C=CC(=O)OCCCC</td>\n",
       "      <td>0.6</td>\n",
       "      <td>CCCCOC(=O)/C=C/c1ccc2ccccc2c1-c1ccccc1C=O</td>\n",
       "      <td>CC(=O)[O-].CC(=O)[O-].[Pd+2]</td>\n",
       "      <td>5</td>\n",
       "      <td>CC(C)(C)[C@H](N)C(=O)O</td>\n",
       "      <td>10</td>\n",
       "      <td>CCCC[N+](CCCC)(CCCC)CCCC.F[P-](F)(F)(F)(F)F</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>4.5</td>\n",
       "      <td>14</td>\n",
       "      <td>grahite felt</td>\n",
       "      <td>Pt</td>\n",
       "      <td>1.5</td>\n",
       "      <td>60</td>\n",
       "      <td>0.38</td>\n",
       "      <td>0.99</td>\n",
       "      <td>3.507522</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>O=Cc1ccccc1-c1cccc2ccccc12</td>\n",
       "      <td>0.2</td>\n",
       "      <td>C=CC(=O)OCCCC</td>\n",
       "      <td>0.6</td>\n",
       "      <td>CCCCOC(=O)/C=C/c1ccc2ccccc2c1-c1ccccc1C=O</td>\n",
       "      <td>CC(=O)[O-].CC(=O)[O-].[Pd+2]</td>\n",
       "      <td>5</td>\n",
       "      <td>CC(C)(C)[C@H](N)C(=O)O</td>\n",
       "      <td>10</td>\n",
       "      <td>CCCC[N+](CCCC)(CCCC)CCCC.F[P-](F)(F)(F)(F)F</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>4.5</td>\n",
       "      <td>14</td>\n",
       "      <td>grahite felt</td>\n",
       "      <td>Pt</td>\n",
       "      <td>4.0</td>\n",
       "      <td>60</td>\n",
       "      <td>0.33</td>\n",
       "      <td>0.99</td>\n",
       "      <td>3.507522</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>O=Cc1ccccc1-c1cccc2ccccc12</td>\n",
       "      <td>0.2</td>\n",
       "      <td>C=CC(=O)OCCCC</td>\n",
       "      <td>0.6</td>\n",
       "      <td>CCCCOC(=O)/C=C/c1ccc2ccccc2c1-c1ccccc1C=O</td>\n",
       "      <td>CC(=O)[O-].CC(=O)[O-].[Pd+2]</td>\n",
       "      <td>10</td>\n",
       "      <td>CC(C)(C)[C@H](N)C(=O)O</td>\n",
       "      <td>20</td>\n",
       "      <td>CCCC[N+](CCCC)(CCCC)CCCC.F[P-](F)(F)(F)(F)F</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>4.5</td>\n",
       "      <td>14</td>\n",
       "      <td>grahite felt</td>\n",
       "      <td>Pt</td>\n",
       "      <td>2.0</td>\n",
       "      <td>60</td>\n",
       "      <td>0.41</td>\n",
       "      <td>0.99</td>\n",
       "      <td>3.507522</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>122</th>\n",
       "      <td>O=Cc1ccccc1-c1cccc2ccccc12</td>\n",
       "      <td>0.2</td>\n",
       "      <td>C=Cc1ccccc1</td>\n",
       "      <td>0.6</td>\n",
       "      <td>O=Cc1ccccc1-c1c(/C=C/c2ccccc2)ccc2ccccc12</td>\n",
       "      <td>CC(=O)[O-].CC(=O)[O-].[Pd+2]</td>\n",
       "      <td>10</td>\n",
       "      <td>CC(C)(C)[C@H](N)C(=O)O</td>\n",
       "      <td>20</td>\n",
       "      <td>[Li]OC(C)=O</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>4.5</td>\n",
       "      <td>16</td>\n",
       "      <td>grahite felt</td>\n",
       "      <td>Pt</td>\n",
       "      <td>1.5</td>\n",
       "      <td>60</td>\n",
       "      <td>0.19</td>\n",
       "      <td>0.86</td>\n",
       "      <td>1.714028</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>123</th>\n",
       "      <td>O=Cc1ccccc1-c1cccc2ccccc12</td>\n",
       "      <td>0.2</td>\n",
       "      <td>C=CC(=O)Oc1ccccc1-c1ccccc1</td>\n",
       "      <td>0.6</td>\n",
       "      <td>O=Cc1ccccc1-c1c(/C=C/C(=O)Oc2ccccc2-c2ccccc2)c...</td>\n",
       "      <td>CC(=O)[O-].CC(=O)[O-].[Pd+2]</td>\n",
       "      <td>10</td>\n",
       "      <td>CC(C)(C)[C@H](N)C(=O)O</td>\n",
       "      <td>20</td>\n",
       "      <td>[Li]OC(C)=O</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>4.5</td>\n",
       "      <td>20</td>\n",
       "      <td>grahite felt</td>\n",
       "      <td>Pt</td>\n",
       "      <td>1.0</td>\n",
       "      <td>60</td>\n",
       "      <td>0.55</td>\n",
       "      <td>0.97</td>\n",
       "      <td>2.772852</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>124</th>\n",
       "      <td>O=Cc1ccccc1-c1cccc2ccccc12</td>\n",
       "      <td>0.2</td>\n",
       "      <td>C=CC(=O)OCC</td>\n",
       "      <td>0.6</td>\n",
       "      <td>CCOC(=O)/C=C/c1ccc2ccccc2c1-c1ccccc1C=O</td>\n",
       "      <td>CC(=O)[O-].CC(=O)[O-].[Pd+2]</td>\n",
       "      <td>10</td>\n",
       "      <td>CC(C)(C)[C@H](N)C(=O)O</td>\n",
       "      <td>20</td>\n",
       "      <td>[Li]OC(C)=O</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>4.5</td>\n",
       "      <td>16</td>\n",
       "      <td>grahite felt</td>\n",
       "      <td>Pt</td>\n",
       "      <td>1.5</td>\n",
       "      <td>60</td>\n",
       "      <td>0.55</td>\n",
       "      <td>0.96</td>\n",
       "      <td>2.578852</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>125</th>\n",
       "      <td>O=Cc1ccc2ccccc2c1-c1ccccc1</td>\n",
       "      <td>0.2</td>\n",
       "      <td>C=CC(=O)OCCCC</td>\n",
       "      <td>0.6</td>\n",
       "      <td>CCCCOC(=O)/C=C/c1ccccc1-c1c(C=O)ccc2ccccc12</td>\n",
       "      <td>CC(=O)[O-].CC(=O)[O-].[Pd+2]</td>\n",
       "      <td>10</td>\n",
       "      <td>CC(C)(C)[C@H](N)C(=O)O</td>\n",
       "      <td>20</td>\n",
       "      <td>[Li]OC(C)=O</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>4.5</td>\n",
       "      <td>20</td>\n",
       "      <td>grahite felt</td>\n",
       "      <td>Pt</td>\n",
       "      <td>1.5</td>\n",
       "      <td>60</td>\n",
       "      <td>0.49</td>\n",
       "      <td>0.97</td>\n",
       "      <td>2.772852</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>126</th>\n",
       "      <td>Cc1ccccc1-c1cc(F)ccc1C=O</td>\n",
       "      <td>0.2</td>\n",
       "      <td>C=CC(=O)OCCCC</td>\n",
       "      <td>0.6</td>\n",
       "      <td>CCCCOC(=O)/C=C/c1cccc(C)c1-c1cc(F)ccc1C=O</td>\n",
       "      <td>CC(=O)[O-].CC(=O)[O-].[Pd+2]</td>\n",
       "      <td>10</td>\n",
       "      <td>CC(C)(C)[C@H](N)C(=O)O</td>\n",
       "      <td>20</td>\n",
       "      <td>[Li]OC(C)=O</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>4.5</td>\n",
       "      <td>20</td>\n",
       "      <td>grahite felt</td>\n",
       "      <td>Pt</td>\n",
       "      <td>1.0</td>\n",
       "      <td>60</td>\n",
       "      <td>0.62</td>\n",
       "      <td>0.97</td>\n",
       "      <td>2.772852</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>127 rows × 22 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "                         Biaryl  mole of Biaryl/mmol  \\\n",
       "0    O=Cc1ccccc1-c1cccc2ccccc12                  0.2   \n",
       "1    O=Cc1ccccc1-c1cccc2ccccc12                  0.2   \n",
       "2    O=Cc1ccccc1-c1cccc2ccccc12                  0.2   \n",
       "3    O=Cc1ccccc1-c1cccc2ccccc12                  0.2   \n",
       "4    O=Cc1ccccc1-c1cccc2ccccc12                  0.2   \n",
       "..                          ...                  ...   \n",
       "122  O=Cc1ccccc1-c1cccc2ccccc12                  0.2   \n",
       "123  O=Cc1ccccc1-c1cccc2ccccc12                  0.2   \n",
       "124  O=Cc1ccccc1-c1cccc2ccccc12                  0.2   \n",
       "125  O=Cc1ccc2ccccc2c1-c1ccccc1                  0.2   \n",
       "126    Cc1ccccc1-c1cc(F)ccc1C=O                  0.2   \n",
       "\n",
       "                         Olefin  mole of Olefin/mmol  \\\n",
       "0                 C=CC(=O)OCCCC                  0.6   \n",
       "1                 C=CC(=O)OCCCC                  0.6   \n",
       "2                 C=CC(=O)OCCCC                  0.6   \n",
       "3                 C=CC(=O)OCCCC                  0.6   \n",
       "4                 C=CC(=O)OCCCC                  0.6   \n",
       "..                          ...                  ...   \n",
       "122                 C=Cc1ccccc1                  0.6   \n",
       "123  C=CC(=O)Oc1ccccc1-c1ccccc1                  0.6   \n",
       "124                 C=CC(=O)OCC                  0.6   \n",
       "125               C=CC(=O)OCCCC                  0.6   \n",
       "126               C=CC(=O)OCCCC                  0.6   \n",
       "\n",
       "                                               Product  \\\n",
       "0            CCCCOC(=O)/C=C/c1ccc2ccccc2c1-c1ccccc1C=O   \n",
       "1            CCCCOC(=O)/C=C/c1ccc2ccccc2c1-c1ccccc1C=O   \n",
       "2            CCCCOC(=O)/C=C/c1ccc2ccccc2c1-c1ccccc1C=O   \n",
       "3            CCCCOC(=O)/C=C/c1ccc2ccccc2c1-c1ccccc1C=O   \n",
       "4            CCCCOC(=O)/C=C/c1ccc2ccccc2c1-c1ccccc1C=O   \n",
       "..                                                 ...   \n",
       "122          O=Cc1ccccc1-c1c(/C=C/c2ccccc2)ccc2ccccc12   \n",
       "123  O=Cc1ccccc1-c1c(/C=C/C(=O)Oc2ccccc2-c2ccccc2)c...   \n",
       "124            CCOC(=O)/C=C/c1ccc2ccccc2c1-c1ccccc1C=O   \n",
       "125        CCCCOC(=O)/C=C/c1ccccc1-c1c(C=O)ccc2ccccc12   \n",
       "126          CCCCOC(=O)/C=C/c1cccc(C)c1-c1cc(F)ccc1C=O   \n",
       "\n",
       "                         Catalyst  Catalyst Concentration/%  \\\n",
       "0    CC(=O)[O-].CC(=O)[O-].[Pd+2]                        10   \n",
       "1    CC(=O)[O-].CC(=O)[O-].[Pd+2]                        10   \n",
       "2    CC(=O)[O-].CC(=O)[O-].[Pd+2]                         5   \n",
       "3    CC(=O)[O-].CC(=O)[O-].[Pd+2]                         5   \n",
       "4    CC(=O)[O-].CC(=O)[O-].[Pd+2]                        10   \n",
       "..                            ...                       ...   \n",
       "122  CC(=O)[O-].CC(=O)[O-].[Pd+2]                        10   \n",
       "123  CC(=O)[O-].CC(=O)[O-].[Pd+2]                        10   \n",
       "124  CC(=O)[O-].CC(=O)[O-].[Pd+2]                        10   \n",
       "125  CC(=O)[O-].CC(=O)[O-].[Pd+2]                        10   \n",
       "126  CC(=O)[O-].CC(=O)[O-].[Pd+2]                        10   \n",
       "\n",
       "                        TDG  TDG Concentration/%  \\\n",
       "0    CC(C)(C)[C@H](N)C(=O)O                   20   \n",
       "1    CC(C)(C)[C@H](N)C(=O)O                   20   \n",
       "2    CC(C)(C)[C@H](N)C(=O)O                   10   \n",
       "3    CC(C)(C)[C@H](N)C(=O)O                   10   \n",
       "4    CC(C)(C)[C@H](N)C(=O)O                   20   \n",
       "..                      ...                  ...   \n",
       "122  CC(C)(C)[C@H](N)C(=O)O                   20   \n",
       "123  CC(C)(C)[C@H](N)C(=O)O                   20   \n",
       "124  CC(C)(C)[C@H](N)C(=O)O                   20   \n",
       "125  CC(C)(C)[C@H](N)C(=O)O                   20   \n",
       "126  CC(C)(C)[C@H](N)C(=O)O                   20   \n",
       "\n",
       "                                        Additive  ... Solvent Ratio  \\\n",
       "0    CCCC[N+](CCCC)(CCCC)CCCC.F[P-](F)(F)(F)(F)F  ...           NaN   \n",
       "1    CCCC[N+](CCCC)(CCCC)CCCC.F[P-](F)(F)(F)(F)F  ...           NaN   \n",
       "2    CCCC[N+](CCCC)(CCCC)CCCC.F[P-](F)(F)(F)(F)F  ...           NaN   \n",
       "3    CCCC[N+](CCCC)(CCCC)CCCC.F[P-](F)(F)(F)(F)F  ...           NaN   \n",
       "4    CCCC[N+](CCCC)(CCCC)CCCC.F[P-](F)(F)(F)(F)F  ...           NaN   \n",
       "..                                           ...  ...           ...   \n",
       "122                                  [Li]OC(C)=O  ...           NaN   \n",
       "123                                  [Li]OC(C)=O  ...           NaN   \n",
       "124                                  [Li]OC(C)=O  ...           NaN   \n",
       "125                                  [Li]OC(C)=O  ...           NaN   \n",
       "126                                  [Li]OC(C)=O  ...           NaN   \n",
       "\n",
       "    Volume of Solvent/ml Reaction Time/h         Anode  Cathode Current(mA)  \\\n",
       "0                    4.5              14  grahite felt       Pt         1.5   \n",
       "1                    4.5              14  grahite felt       Pt         0.0   \n",
       "2                    4.5              14  grahite felt       Pt         1.5   \n",
       "3                    4.5              14  grahite felt       Pt         4.0   \n",
       "4                    4.5              14  grahite felt       Pt         2.0   \n",
       "..                   ...             ...           ...      ...         ...   \n",
       "122                  4.5              16  grahite felt       Pt         1.5   \n",
       "123                  4.5              20  grahite felt       Pt         1.0   \n",
       "124                  4.5              16  grahite felt       Pt         1.5   \n",
       "125                  4.5              20  grahite felt       Pt         1.5   \n",
       "126                  4.5              20  grahite felt       Pt         1.0   \n",
       "\n",
       "    Temperature  Yield    ee  ddG(kcal/mol)  \n",
       "0            60   0.57  0.99       3.507522  \n",
       "1            60   0.20  0.99       3.507522  \n",
       "2            60   0.38  0.99       3.507522  \n",
       "3            60   0.33  0.99       3.507522  \n",
       "4            60   0.41  0.99       3.507522  \n",
       "..          ...    ...   ...            ...  \n",
       "122          60   0.19  0.86       1.714028  \n",
       "123          60   0.55  0.97       2.772852  \n",
       "124          60   0.55  0.96       2.578852  \n",
       "125          60   0.49  0.97       2.772852  \n",
       "126          60   0.62  0.97       2.772852  \n",
       "\n",
       "[127 rows x 22 columns]"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "dataset = pd.read_csv('./datasets/dataset.csv',index_col=0)\n",
    "physorg_desc_npz = np.load('./descriptors/physorg_desc.npz',allow_pickle=True)\n",
    "physorg_react_desc = physorg_desc_npz['react_desc']\n",
    "physorg_react_desc_name = physorg_desc_npz['react_desc_name']\n",
    "\n",
    "ddG = dataset['ddG(kcal/mol)'].to_numpy()\n",
    "dataset"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b4f30d6c",
   "metadata": {},
   "source": [
    "The physorg reaction encoding of the collected dataset\n",
    "\n",
    "**Note:** All descriptors have been scaled with max-min scaler"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "7dfbb873",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2022-11-21T07:47:17.510326Z",
     "start_time": "2022-11-21T07:47:17.492212Z"
    }
   },
   "outputs": [
    {
     "data": {
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       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>q_HF_+1-a16-Imine-CH-GS</th>\n",
       "      <th>q_HF_+1-a15-Imine-AI-GS</th>\n",
       "      <th>q_HF_+1-a15-Imine-CH-R</th>\n",
       "      <th>q_HF_0-a15-Imine-CH-GS</th>\n",
       "      <th>q_HF_0-a15-Imine-AI-R</th>\n",
       "      <th>q_HF_0-a16-Imine-CH-GS</th>\n",
       "      <th>s_HF_0-a15-Imine-CH-R</th>\n",
       "      <th>q_HF_+1-a15-Imine-AI-R</th>\n",
       "      <th>s_HF_-1-a0-Olefin-AI-R</th>\n",
       "      <th>q_HF_0-a0-Olefin-AI-R</th>\n",
       "      <th>...</th>\n",
       "      <th>Sol XLogP3-AA 2</th>\n",
       "      <th>Sol Topological Polar Surface Area Å² 2</th>\n",
       "      <th>Sol Density (g/mL) 2</th>\n",
       "      <th>Sol Molar Volume (mL/mol) 2</th>\n",
       "      <th>Sol Refractive Index 2</th>\n",
       "      <th>Sol Dipole Moment (D) 2</th>\n",
       "      <th>Sol Melting Point (°C) 2</th>\n",
       "      <th>Sol Boiling Point (°C) 2</th>\n",
       "      <th>Temperature</th>\n",
       "      <th>Current</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0.86655</td>\n",
       "      <td>0.877378</td>\n",
       "      <td>0.594308</td>\n",
       "      <td>0.483867</td>\n",
       "      <td>0.174023</td>\n",
       "      <td>0.686571</td>\n",
       "      <td>0.135257</td>\n",
       "      <td>0.68034</td>\n",
       "      <td>0.127431</td>\n",
       "      <td>0.767013</td>\n",
       "      <td>...</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.333333</td>\n",
       "      <td>0.375</td>\n",
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       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>0.86655</td>\n",
       "      <td>0.877378</td>\n",
       "      <td>0.594308</td>\n",
       "      <td>0.483867</td>\n",
       "      <td>0.174023</td>\n",
       "      <td>0.686571</td>\n",
       "      <td>0.135257</td>\n",
       "      <td>0.68034</td>\n",
       "      <td>0.127431</td>\n",
       "      <td>0.767013</td>\n",
       "      <td>...</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.333333</td>\n",
       "      <td>0.0</td>\n",
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       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0.86655</td>\n",
       "      <td>0.877378</td>\n",
       "      <td>0.594308</td>\n",
       "      <td>0.483867</td>\n",
       "      <td>0.174023</td>\n",
       "      <td>0.686571</td>\n",
       "      <td>0.135257</td>\n",
       "      <td>0.68034</td>\n",
       "      <td>0.127431</td>\n",
       "      <td>0.767013</td>\n",
       "      <td>...</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.333333</td>\n",
       "      <td>0.375</td>\n",
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       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>0.86655</td>\n",
       "      <td>0.877378</td>\n",
       "      <td>0.594308</td>\n",
       "      <td>0.483867</td>\n",
       "      <td>0.174023</td>\n",
       "      <td>0.686571</td>\n",
       "      <td>0.135257</td>\n",
       "      <td>0.68034</td>\n",
       "      <td>0.127431</td>\n",
       "      <td>0.767013</td>\n",
       "      <td>...</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.333333</td>\n",
       "      <td>1.0</td>\n",
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       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>0.86655</td>\n",
       "      <td>0.877378</td>\n",
       "      <td>0.594308</td>\n",
       "      <td>0.483867</td>\n",
       "      <td>0.174023</td>\n",
       "      <td>0.686571</td>\n",
       "      <td>0.135257</td>\n",
       "      <td>0.68034</td>\n",
       "      <td>0.127431</td>\n",
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       "      <td>0.0</td>\n",
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       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.333333</td>\n",
       "      <td>0.5</td>\n",
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       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
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       "      <td>...</td>\n",
       "      <td>...</td>\n",
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       "      <td>...</td>\n",
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       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
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       "    <tr>\n",
       "      <th>122</th>\n",
       "      <td>0.86655</td>\n",
       "      <td>0.877378</td>\n",
       "      <td>0.594308</td>\n",
       "      <td>0.483867</td>\n",
       "      <td>0.174023</td>\n",
       "      <td>0.686571</td>\n",
       "      <td>0.135257</td>\n",
       "      <td>0.68034</td>\n",
       "      <td>0.418204</td>\n",
       "      <td>0.173284</td>\n",
       "      <td>...</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.333333</td>\n",
       "      <td>0.375</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>123</th>\n",
       "      <td>0.86655</td>\n",
       "      <td>0.877378</td>\n",
       "      <td>0.594308</td>\n",
       "      <td>0.483867</td>\n",
       "      <td>0.174023</td>\n",
       "      <td>0.686571</td>\n",
       "      <td>0.135257</td>\n",
       "      <td>0.68034</td>\n",
       "      <td>0.436106</td>\n",
       "      <td>0.828172</td>\n",
       "      <td>...</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.333333</td>\n",
       "      <td>0.25</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>124</th>\n",
       "      <td>0.86655</td>\n",
       "      <td>0.877378</td>\n",
       "      <td>0.594308</td>\n",
       "      <td>0.483867</td>\n",
       "      <td>0.174023</td>\n",
       "      <td>0.686571</td>\n",
       "      <td>0.135257</td>\n",
       "      <td>0.68034</td>\n",
       "      <td>0.156559</td>\n",
       "      <td>0.767181</td>\n",
       "      <td>...</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.333333</td>\n",
       "      <td>0.375</td>\n",
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       "    <tr>\n",
       "      <th>125</th>\n",
       "      <td>0.207299</td>\n",
       "      <td>0.160786</td>\n",
       "      <td>0.039966</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0.523177</td>\n",
       "      <td>0.956873</td>\n",
       "      <td>0.918168</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.127431</td>\n",
       "      <td>0.767013</td>\n",
       "      <td>...</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.333333</td>\n",
       "      <td>0.375</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>126</th>\n",
       "      <td>0.493091</td>\n",
       "      <td>0.288154</td>\n",
       "      <td>0.931354</td>\n",
       "      <td>0.543151</td>\n",
       "      <td>0.138586</td>\n",
       "      <td>0.683831</td>\n",
       "      <td>0.42529</td>\n",
       "      <td>0.82293</td>\n",
       "      <td>0.127431</td>\n",
       "      <td>0.767013</td>\n",
       "      <td>...</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.333333</td>\n",
       "      <td>0.25</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>127 rows × 119 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "    q_HF_+1-a16-Imine-CH-GS q_HF_+1-a15-Imine-AI-GS q_HF_+1-a15-Imine-CH-R  \\\n",
       "0                   0.86655                0.877378               0.594308   \n",
       "1                   0.86655                0.877378               0.594308   \n",
       "2                   0.86655                0.877378               0.594308   \n",
       "3                   0.86655                0.877378               0.594308   \n",
       "4                   0.86655                0.877378               0.594308   \n",
       "..                      ...                     ...                    ...   \n",
       "122                 0.86655                0.877378               0.594308   \n",
       "123                 0.86655                0.877378               0.594308   \n",
       "124                 0.86655                0.877378               0.594308   \n",
       "125                0.207299                0.160786               0.039966   \n",
       "126                0.493091                0.288154               0.931354   \n",
       "\n",
       "    q_HF_0-a15-Imine-CH-GS q_HF_0-a15-Imine-AI-R q_HF_0-a16-Imine-CH-GS  \\\n",
       "0                 0.483867              0.174023               0.686571   \n",
       "1                 0.483867              0.174023               0.686571   \n",
       "2                 0.483867              0.174023               0.686571   \n",
       "3                 0.483867              0.174023               0.686571   \n",
       "4                 0.483867              0.174023               0.686571   \n",
       "..                     ...                   ...                    ...   \n",
       "122               0.483867              0.174023               0.686571   \n",
       "123               0.483867              0.174023               0.686571   \n",
       "124               0.483867              0.174023               0.686571   \n",
       "125                    1.0              0.523177               0.956873   \n",
       "126               0.543151              0.138586               0.683831   \n",
       "\n",
       "    s_HF_0-a15-Imine-CH-R q_HF_+1-a15-Imine-AI-R s_HF_-1-a0-Olefin-AI-R  \\\n",
       "0                0.135257                0.68034               0.127431   \n",
       "1                0.135257                0.68034               0.127431   \n",
       "2                0.135257                0.68034               0.127431   \n",
       "3                0.135257                0.68034               0.127431   \n",
       "4                0.135257                0.68034               0.127431   \n",
       "..                    ...                    ...                    ...   \n",
       "122              0.135257                0.68034               0.418204   \n",
       "123              0.135257                0.68034               0.436106   \n",
       "124              0.135257                0.68034               0.156559   \n",
       "125              0.918168                    0.0               0.127431   \n",
       "126               0.42529                0.82293               0.127431   \n",
       "\n",
       "    q_HF_0-a0-Olefin-AI-R  ... Sol XLogP3-AA 2  \\\n",
       "0                0.767013  ...             0.0   \n",
       "1                0.767013  ...             0.0   \n",
       "2                0.767013  ...             0.0   \n",
       "3                0.767013  ...             0.0   \n",
       "4                0.767013  ...             0.0   \n",
       "..                    ...  ...             ...   \n",
       "122              0.173284  ...             0.0   \n",
       "123              0.828172  ...             0.0   \n",
       "124              0.767181  ...             0.0   \n",
       "125              0.767013  ...             0.0   \n",
       "126              0.767013  ...             0.0   \n",
       "\n",
       "    Sol Topological Polar Surface Area Å² 2 Sol Density (g/mL) 2  \\\n",
       "0                                       0.0                  0.0   \n",
       "1                                       0.0                  0.0   \n",
       "2                                       0.0                  0.0   \n",
       "3                                       0.0                  0.0   \n",
       "4                                       0.0                  0.0   \n",
       "..                                      ...                  ...   \n",
       "122                                     0.0                  0.0   \n",
       "123                                     0.0                  0.0   \n",
       "124                                     0.0                  0.0   \n",
       "125                                     0.0                  0.0   \n",
       "126                                     0.0                  0.0   \n",
       "\n",
       "    Sol Molar Volume (mL/mol) 2 Sol Refractive Index 2  \\\n",
       "0                           0.0                    0.0   \n",
       "1                           0.0                    0.0   \n",
       "2                           0.0                    0.0   \n",
       "3                           0.0                    0.0   \n",
       "4                           0.0                    0.0   \n",
       "..                          ...                    ...   \n",
       "122                         0.0                    0.0   \n",
       "123                         0.0                    0.0   \n",
       "124                         0.0                    0.0   \n",
       "125                         0.0                    0.0   \n",
       "126                         0.0                    0.0   \n",
       "\n",
       "    Sol Dipole Moment (D) 2 Sol Melting Point (°C) 2 Sol Boiling Point (°C) 2  \\\n",
       "0                       0.0                      1.0                      0.0   \n",
       "1                       0.0                      1.0                      0.0   \n",
       "2                       0.0                      1.0                      0.0   \n",
       "3                       0.0                      1.0                      0.0   \n",
       "4                       0.0                      1.0                      0.0   \n",
       "..                      ...                      ...                      ...   \n",
       "122                     0.0                      1.0                      0.0   \n",
       "123                     0.0                      1.0                      0.0   \n",
       "124                     0.0                      1.0                      0.0   \n",
       "125                     0.0                      1.0                      0.0   \n",
       "126                     0.0                      1.0                      0.0   \n",
       "\n",
       "    Temperature Current  \n",
       "0      0.333333   0.375  \n",
       "1      0.333333     0.0  \n",
       "2      0.333333   0.375  \n",
       "3      0.333333     1.0  \n",
       "4      0.333333     0.5  \n",
       "..          ...     ...  \n",
       "122    0.333333   0.375  \n",
       "123    0.333333    0.25  \n",
       "124    0.333333   0.375  \n",
       "125    0.333333   0.375  \n",
       "126    0.333333    0.25  \n",
       "\n",
       "[127 rows x 119 columns]"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "physorg_df = pd.DataFrame(physorg_react_desc)\n",
    "physorg_df.columns = physorg_react_desc_name\n",
    "physorg_df"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d7a58bb0",
   "metadata": {},
   "source": [
    "## Select OOS Set"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3c68b007",
   "metadata": {},
   "source": [
    "Compounds (biaryls, olefins and TDGs) have only one associated transformation in the dataset, and these transformations are selected out of the original dataset as the out-of-sample (OOS) test set."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "b8030475",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2022-11-21T07:47:19.201653Z",
     "start_time": "2022-11-21T07:47:19.193810Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[15, 21, 31, 52, 56, 58, 59, 65, 96, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 120, 121, 122, 123, 124, 125, 126]\n"
     ]
    }
   ],
   "source": [
    "biaryl_smiles = dataset['Biaryl'].to_list()\n",
    "olefin_smiles = dataset['Olefin'].to_list()\n",
    "tdg_smiles = dataset['TDG'].to_list()\n",
    "\n",
    "biaryl_smi_count = {smi:biaryl_smiles.count(smi) for smi in biaryl_smiles}\n",
    "olefin_smi_count = {smi:olefin_smiles.count(smi) for smi in olefin_smiles}\n",
    "tdg_smi_count = {smi:tdg_smiles.count(smi) for smi in tdg_smiles}\n",
    "pot_oos_biaryl_smi = [smi for smi in biaryl_smi_count if biaryl_smi_count[smi] == 1]\n",
    "pot_oos_olefin_smi = [smi for smi in olefin_smi_count if olefin_smi_count[smi] == 1]\n",
    "pot_oos_tdg_smi = [smi for smi in tdg_smi_count if tdg_smi_count[smi] == 1]\n",
    "\n",
    "oos_index = []\n",
    "\n",
    "for idx in range(len(dataset)):\n",
    "    if biaryl_smiles[idx] in pot_oos_biaryl_smi or olefin_smiles[idx] in pot_oos_olefin_smi or\\\n",
    "       tdg_smiles[idx] in pot_oos_tdg_smi:\n",
    "        oos_index.append(idx)\n",
    "        \n",
    "print(oos_index)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ba95b1ea",
   "metadata": {},
   "source": [
    "# Feature Selection with RFECV Algorithm"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "f8a1186f",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2022-11-21T07:47:20.891954Z",
     "start_time": "2022-11-21T07:47:20.886643Z"
    }
   },
   "outputs": [],
   "source": [
    "'''\n",
    "The \"test_index\" is the index of the out-of-sample (OOS) test set, which should be excluded \n",
    "during the cross-validation procedure. \n",
    "\n",
    "OOS test set: 28 compounds (7 biaryls, 14 olefins and 7 TDGs) have only one associated \n",
    "transformation, and these transformations are selected out of the original dataset as \n",
    "the out-of-sample (OOS) test set.\n",
    "'''\n",
    "test_index = [15, 21, 31, 52, 56, 58, 59, 65, 96, 104, 105, 106, 107, 108, 109,\n",
    "              110, 111, 112, 113, 114, 115, 120, 121, 122, 123, 124, 125, 126]\n",
    "\n",
    "train_val_index = list(set(range(len(physorg_react_desc))) - set(test_index))\n",
    "\n",
    "train_val_x,train_val_y = physorg_react_desc[train_val_index],ddG[train_val_index]\n",
    "test_x,test_y = physorg_react_desc[test_index],ddG[test_index]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "be5b03b3",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2022-11-21T07:49:01.482307Z",
     "start_time": "2022-11-21T07:47:22.137590Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "----Reserved Descriptors----\n",
      "Size: 29\n",
      "Index of selected descriptors [  9  10  11  12  15  24  28  31  33  43  45  46  61  63  65  68  70  71\n",
      "  72  73  75  79  83  92  95 102 106 107 118]\n"
     ]
    }
   ],
   "source": [
    "# The max_depth and n_estimators are identified by hyperparameters optimization procedure, which is demonstrated in Notebook 3.\n",
    "model = ExtraTreesRegressor(max_depth=10,n_estimators=400,n_jobs=-1,random_state=random_seed)\n",
    "cv = KFold(n_splits=10, shuffle=True, random_state=random_seed)\n",
    "selector = RFECV(model, step=1, min_features_to_select=1,cv=cv, n_jobs=-1)\n",
    "selector = selector.fit(train_val_x, train_val_y)\n",
    "sel_index = np.where(selector.support_==True)[0]\n",
    "print('----Reserved Descriptors----')\n",
    "print('Size: %d'%len(sel_index))\n",
    "print('Index of selected descriptors',sel_index)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "a0aa37f3",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2022-11-21T07:49:01.595432Z",
     "start_time": "2022-11-21T07:49:01.513084Z"
    }
   },
   "outputs": [
    {
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       "            'Your browser does not have WebSocket support. ' +\n",
       "                'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
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       "            warnings.style.display = 'block';\n",
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       "    this._canvas_extra_style(canvas_div);\n",
       "    this.root.appendChild(canvas_div);\n",
       "\n",
       "    var canvas = (this.canvas = document.createElement('canvas'));\n",
       "    canvas.classList.add('mpl-canvas');\n",
       "    canvas.setAttribute('style', 'box-sizing: content-box;');\n",
       "\n",
       "    this.context = canvas.getContext('2d');\n",
       "\n",
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       "        this.context.msBackingStorePixelRatio ||\n",
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       "            canvas_div.style.width = width + 'px';\n",
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       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'mpl-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'mpl-button-group';\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'mpl-button-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        var button = (fig.buttons[name] = document.createElement('button'));\n",
       "        button.classList = 'mpl-widget';\n",
       "        button.setAttribute('role', 'button');\n",
       "        button.setAttribute('aria-disabled', 'false');\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "\n",
       "        var icon_img = document.createElement('img');\n",
       "        icon_img.src = '_images/' + image + '.png';\n",
       "        icon_img.srcset = '_images/' + image + '_large.png 2x';\n",
       "        icon_img.alt = tooltip;\n",
       "        button.appendChild(icon_img);\n",
       "\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    var fmt_picker = document.createElement('select');\n",
       "    fmt_picker.classList = 'mpl-widget';\n",
       "    toolbar.appendChild(fmt_picker);\n",
       "    this.format_dropdown = fmt_picker;\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = document.createElement('option');\n",
       "        option.selected = fmt === mpl.default_extension;\n",
       "        option.innerHTML = fmt;\n",
       "        fmt_picker.appendChild(option);\n",
       "    }\n",
       "\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.request_resize = function (x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', { width: x_pixels, height: y_pixels });\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_message = function (type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function () {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({ type: 'draw', figure_id: this.id }));\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function (fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] !== fig.canvas.width || size[1] !== fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1], msg['forward']);\n",
       "        fig.send_message('refresh', {});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function (fig, msg) {\n",
       "    var x0 = msg['x0'] / fig.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / fig.ratio;\n",
       "    var x1 = msg['x1'] / fig.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / fig.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0,\n",
       "        0,\n",
       "        fig.canvas.width / fig.ratio,\n",
       "        fig.canvas.height / fig.ratio\n",
       "    );\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function (fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function (fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch (cursor) {\n",
       "        case 0:\n",
       "            cursor = 'pointer';\n",
       "            break;\n",
       "        case 1:\n",
       "            cursor = 'default';\n",
       "            break;\n",
       "        case 2:\n",
       "            cursor = 'crosshair';\n",
       "            break;\n",
       "        case 3:\n",
       "            cursor = 'move';\n",
       "            break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_message = function (fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function (fig, _msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function (fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_history_buttons = function (fig, msg) {\n",
       "    for (var key in msg) {\n",
       "        if (!(key in fig.buttons)) {\n",
       "            continue;\n",
       "        }\n",
       "        fig.buttons[key].disabled = !msg[key];\n",
       "        fig.buttons[key].setAttribute('aria-disabled', !msg[key]);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_navigate_mode = function (fig, msg) {\n",
       "    if (msg['mode'] === 'PAN') {\n",
       "        fig.buttons['Pan'].classList.add('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    } else if (msg['mode'] === 'ZOOM') {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.add('active');\n",
       "    } else {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message('ack', {});\n",
       "};\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function (fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            var img = evt.data;\n",
       "            if (img.type !== 'image/png') {\n",
       "                /* FIXME: We get \"Resource interpreted as Image but\n",
       "                 * transferred with MIME type text/plain:\" errors on\n",
       "                 * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "                 * to be part of the websocket stream */\n",
       "                img.type = 'image/png';\n",
       "            }\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src\n",
       "                );\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                img\n",
       "            );\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        } else if (\n",
       "            typeof evt.data === 'string' &&\n",
       "            evt.data.slice(0, 21) === 'data:image/png;base64'\n",
       "        ) {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig['handle_' + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\n",
       "                \"No handler for the '\" + msg_type + \"' message type: \",\n",
       "                msg\n",
       "            );\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\n",
       "                    \"Exception inside the 'handler_\" + msg_type + \"' callback:\",\n",
       "                    e,\n",
       "                    e.stack,\n",
       "                    msg\n",
       "                );\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "};\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function (e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e) {\n",
       "        e = window.event;\n",
       "    }\n",
       "    if (e.target) {\n",
       "        targ = e.target;\n",
       "    } else if (e.srcElement) {\n",
       "        targ = e.srcElement;\n",
       "    }\n",
       "    if (targ.nodeType === 3) {\n",
       "        // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "    }\n",
       "\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    var boundingRect = targ.getBoundingClientRect();\n",
       "    var x = e.pageX - (boundingRect.left + document.body.scrollLeft);\n",
       "    var y = e.pageY - (boundingRect.top + document.body.scrollTop);\n",
       "\n",
       "    return { x: x, y: y };\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys(original) {\n",
       "    return Object.keys(original).reduce(function (obj, key) {\n",
       "        if (typeof original[key] !== 'object') {\n",
       "            obj[key] = original[key];\n",
       "        }\n",
       "        return obj;\n",
       "    }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function (event, name) {\n",
       "    var canvas_pos = mpl.findpos(event);\n",
       "\n",
       "    if (name === 'button_press') {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * this.ratio;\n",
       "    var y = canvas_pos.y * this.ratio;\n",
       "\n",
       "    this.send_message(name, {\n",
       "        x: x,\n",
       "        y: y,\n",
       "        button: event.button,\n",
       "        step: event.step,\n",
       "        guiEvent: simpleKeys(event),\n",
       "    });\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (_event, _name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.key_event = function (event, name) {\n",
       "    // Prevent repeat events\n",
       "    if (name === 'key_press') {\n",
       "        if (event.key === this._key) {\n",
       "            return;\n",
       "        } else {\n",
       "            this._key = event.key;\n",
       "        }\n",
       "    }\n",
       "    if (name === 'key_release') {\n",
       "        this._key = null;\n",
       "    }\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.key !== 'Control') {\n",
       "        value += 'ctrl+';\n",
       "    }\n",
       "    else if (event.altKey && event.key !== 'Alt') {\n",
       "        value += 'alt+';\n",
       "    }\n",
       "    else if (event.shiftKey && event.key !== 'Shift') {\n",
       "        value += 'shift+';\n",
       "    }\n",
       "\n",
       "    value += 'k' + event.key;\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, { key: value, guiEvent: simpleKeys(event) });\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function (name) {\n",
       "    if (name === 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message('toolbar_button', { name: name });\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function (tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "\n",
       "///////////////// REMAINING CONTENT GENERATED BY embed_js.py /////////////////\n",
       "// prettier-ignore\n",
       "var _JSXTOOLS_RESIZE_OBSERVER=function(A){var t,i=new WeakMap,n=new WeakMap,a=new WeakMap,r=new WeakMap,o=new Set;function s(e){if(!(this instanceof s))throw new TypeError(\"Constructor requires 'new' operator\");i.set(this,e)}function h(){throw new TypeError(\"Function is not a constructor\")}function c(e,t,i,n){e=0 in arguments?Number(arguments[0]):0,t=1 in arguments?Number(arguments[1]):0,i=2 in arguments?Number(arguments[2]):0,n=3 in arguments?Number(arguments[3]):0,this.right=(this.x=this.left=e)+(this.width=i),this.bottom=(this.y=this.top=t)+(this.height=n),Object.freeze(this)}function d(){t=requestAnimationFrame(d);var s=new WeakMap,p=new Set;o.forEach((function(t){r.get(t).forEach((function(i){var r=t instanceof window.SVGElement,o=a.get(t),d=r?0:parseFloat(o.paddingTop),f=r?0:parseFloat(o.paddingRight),l=r?0:parseFloat(o.paddingBottom),u=r?0:parseFloat(o.paddingLeft),g=r?0:parseFloat(o.borderTopWidth),m=r?0:parseFloat(o.borderRightWidth),w=r?0:parseFloat(o.borderBottomWidth),b=u+f,F=d+l,v=(r?0:parseFloat(o.borderLeftWidth))+m,W=g+w,y=r?0:t.offsetHeight-W-t.clientHeight,E=r?0:t.offsetWidth-v-t.clientWidth,R=b+v,z=F+W,M=r?t.width:parseFloat(o.width)-R-E,O=r?t.height:parseFloat(o.height)-z-y;if(n.has(t)){var k=n.get(t);if(k[0]===M&&k[1]===O)return}n.set(t,[M,O]);var S=Object.create(h.prototype);S.target=t,S.contentRect=new c(u,d,M,O),s.has(i)||(s.set(i,[]),p.add(i)),s.get(i).push(S)}))})),p.forEach((function(e){i.get(e).call(e,s.get(e),e)}))}return s.prototype.observe=function(i){if(i instanceof window.Element){r.has(i)||(r.set(i,new Set),o.add(i),a.set(i,window.getComputedStyle(i)));var n=r.get(i);n.has(this)||n.add(this),cancelAnimationFrame(t),t=requestAnimationFrame(d)}},s.prototype.unobserve=function(i){if(i instanceof window.Element&&r.has(i)){var n=r.get(i);n.has(this)&&(n.delete(this),n.size||(r.delete(i),o.delete(i))),n.size||r.delete(i),o.size||cancelAnimationFrame(t)}},A.DOMRectReadOnly=c,A.ResizeObserver=s,A.ResizeObserverEntry=h,A}; // eslint-disable-line\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Left button pans, Right button zooms\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pgf\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";/* global mpl */\n",
       "\n",
       "var comm_websocket_adapter = function (comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.binaryType = comm.kernel.ws.binaryType;\n",
       "    ws.readyState = comm.kernel.ws.readyState;\n",
       "    function updateReadyState(_event) {\n",
       "        if (comm.kernel.ws) {\n",
       "            ws.readyState = comm.kernel.ws.readyState;\n",
       "        } else {\n",
       "            ws.readyState = 3; // Closed state.\n",
       "        }\n",
       "    }\n",
       "    comm.kernel.ws.addEventListener('open', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('close', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('error', updateReadyState);\n",
       "\n",
       "    ws.close = function () {\n",
       "        comm.close();\n",
       "    };\n",
       "    ws.send = function (m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function (msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        var data = msg['content']['data'];\n",
       "        if (data['blob'] !== undefined) {\n",
       "            data = {\n",
       "                data: new Blob(msg['buffers'], { type: data['blob'] }),\n",
       "            };\n",
       "        }\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(data);\n",
       "    });\n",
       "    return ws;\n",
       "};\n",
       "\n",
       "mpl.mpl_figure_comm = function (comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = document.getElementById(id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm);\n",
       "\n",
       "    function ondownload(figure, _format) {\n",
       "        window.open(figure.canvas.toDataURL());\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy, ondownload, element);\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element;\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error('Failed to find cell for figure', id, fig);\n",
       "        return;\n",
       "    }\n",
       "    fig.cell_info[0].output_area.element.on(\n",
       "        'cleared',\n",
       "        { fig: fig },\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function (fig, msg) {\n",
       "    var width = fig.canvas.width / fig.ratio;\n",
       "    fig.cell_info[0].output_area.element.off(\n",
       "        'cleared',\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "    fig.resizeObserverInstance.unobserve(fig.canvas_div);\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable();\n",
       "    fig.parent_element.innerHTML =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "    fig.close_ws(fig, msg);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.close_ws = function (fig, msg) {\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function (_remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width / this.ratio;\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message('ack', {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () {\n",
       "        fig.push_to_output();\n",
       "    }, 1000);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'btn-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'btn-group';\n",
       "    var button;\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'btn-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        button = fig.buttons[name] = document.createElement('button');\n",
       "        button.classList = 'btn btn-default';\n",
       "        button.href = '#';\n",
       "        button.title = name;\n",
       "        button.innerHTML = '<i class=\"fa ' + image + ' fa-lg\"></i>';\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message pull-right';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = document.createElement('div');\n",
       "    buttongrp.classList = 'btn-group inline pull-right';\n",
       "    button = document.createElement('button');\n",
       "    button.classList = 'btn btn-mini btn-primary';\n",
       "    button.href = '#';\n",
       "    button.title = 'Stop Interaction';\n",
       "    button.innerHTML = '<i class=\"fa fa-power-off icon-remove icon-large\"></i>';\n",
       "    button.addEventListener('click', function (_evt) {\n",
       "        fig.handle_close(fig, {});\n",
       "    });\n",
       "    button.addEventListener(\n",
       "        'mouseover',\n",
       "        on_mouseover_closure('Stop Interaction')\n",
       "    );\n",
       "    buttongrp.appendChild(button);\n",
       "    var titlebar = this.root.querySelector('.ui-dialog-titlebar');\n",
       "    titlebar.insertBefore(buttongrp, titlebar.firstChild);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._remove_fig_handler = function (event) {\n",
       "    var fig = event.data.fig;\n",
       "    if (event.target !== this) {\n",
       "        // Ignore bubbled events from children.\n",
       "        return;\n",
       "    }\n",
       "    fig.close_ws(fig, {});\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (el) {\n",
       "    el.style.boxSizing = 'content-box'; // override notebook setting of border-box.\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (el) {\n",
       "    // this is important to make the div 'focusable\n",
       "    el.setAttribute('tabindex', 0);\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    } else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (event, _name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager) {\n",
       "        manager = IPython.keyboard_manager;\n",
       "    }\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which === 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "};\n",
       "\n",
       "mpl.find_output_cell = function (html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i = 0; i < ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code') {\n",
       "            for (var j = 0; j < cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] === html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "};\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel !== null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target(\n",
       "        'matplotlib',\n",
       "        mpl.mpl_figure_comm\n",
       "    );\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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\" width=\"718.8889079329414\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "tick_fontsize = 15\n",
    "label_fontsize = 18\n",
    "fig = plt.figure(figsize=(8,5))\n",
    "y_r2 = np.flipud(selector.grid_scores_)\n",
    "x_1_index = [item+1 for item in list(range(len(y_r2)))]\n",
    "\n",
    "plt.plot(x_1_index,y_r2,c='royalblue')\n",
    "plt.plot([np.argmax(y_r2)+1,np.argmax(y_r2)+1],[np.min(y_r2),np.max(y_r2)],c='lightgreen',linewidth=1,\n",
    "        linestyle='--')\n",
    "\n",
    "init_range = [item+1 for item in list(range(len(y_r2)))]\n",
    "reverse_range = list(range(len(y_r2),0,-1))\n",
    "reverse_init_range_map = {rev:init for rev,init in zip(reverse_range,init_range)}\n",
    "reverse_init_range_map[len(y_r2)+1] = 0\n",
    "#reverse_init_range_map[50] = len(y_r2)+1-50\n",
    "reverse_init_range_map[0] = len(y_r2)+1\n",
    "num_range = list(range(120,-10,-20))\n",
    "\n",
    "plt.xticks([reverse_init_range_map[item] for item in num_range],\n",
    "           list(map(str,num_range)),\n",
    "           fontsize=tick_fontsize)\n",
    "plt.yticks(fontsize=tick_fontsize)\n",
    "\n",
    "plt.text(0.5,0.67,'Max Score: %.3f'%np.max(y_r2),fontsize=tick_fontsize)\n",
    "plt.text(0.5,0.65,'Feature Number: %d'%(len(y_r2) - np.argmax(y_r2)),fontsize=tick_fontsize)\n",
    "\n",
    "plt.xlabel('Feature Number',fontsize=label_fontsize)\n",
    "plt.ylabel('Score',fontsize=label_fontsize)\n",
    "\n",
    "plt.tick_params(bottom='on',left='on')\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a806f8de",
   "metadata": {},
   "source": [
    "# Regression Performance"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0e0fad9e",
   "metadata": {},
   "source": [
    "## Cross-Validation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "272bd80a",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2022-11-21T07:49:44.789741Z",
     "start_time": "2022-11-21T07:49:01.620850Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "MAE: 0.2359, R2: 0.9091, Pearson R: 0.9535\n"
     ]
    }
   ],
   "source": [
    "val_Y = []\n",
    "val_P = []\n",
    "kfold = KFold(n_splits=10, shuffle=True, random_state=random_seed)\n",
    "for train_idx,val_idx in kfold.split(train_val_x):\n",
    "    train_x,val_x = train_val_x[:,sel_index][train_idx],train_val_x[:,sel_index][val_idx]\n",
    "    train_y,val_y = train_val_y[train_idx],train_val_y[val_idx]\n",
    "    val_P_ = []\n",
    "    for try_ in range(10): \n",
    "        model.fit(train_x,train_y)\n",
    "        val_p = model.predict(val_x)\n",
    "        val_P_.append(val_p)\n",
    "    val_P_ = np.mean(val_P_,axis=0)\n",
    "    val_P.append(val_P_)\n",
    "    val_Y.append(val_y)\n",
    "val_P = np.concatenate(val_P)\n",
    "val_Y = np.concatenate(val_Y)\n",
    "mae = mean_absolute_error(val_Y,val_P)\n",
    "r2 = r2_score(val_Y,val_P)\n",
    "pearson_r,_ = pearsonr(val_Y,val_P)\n",
    "\n",
    "print(\"MAE: %.4f, R2: %.4f, Pearson R: %.4f\"%(mae,r2,pearson_r))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "507cf0a6",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2022-11-21T07:49:44.964144Z",
     "start_time": "2022-11-21T07:49:44.825872Z"
    }
   },
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "/* global mpl */\n",
       "window.mpl = {};\n",
       "\n",
       "mpl.get_websocket_type = function () {\n",
       "    if (typeof WebSocket !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof MozWebSocket !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert(\n",
       "            'Your browser does not have WebSocket support. ' +\n",
       "                'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "                'Firefox 4 and 5 are also supported but you ' +\n",
       "                'have to enable WebSockets in about:config.'\n",
       "        );\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure = function (figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = this.ws.binaryType !== undefined;\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById('mpl-warnings');\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent =\n",
       "                'This browser does not support binary websocket messages. ' +\n",
       "                'Performance may be slow.';\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = document.createElement('div');\n",
       "    this.root.setAttribute('style', 'display: inline-block');\n",
       "    this._root_extra_style(this.root);\n",
       "\n",
       "    parent_element.appendChild(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen = function () {\n",
       "        fig.send_message('supports_binary', { value: fig.supports_binary });\n",
       "        fig.send_message('send_image_mode', {});\n",
       "        if (fig.ratio !== 1) {\n",
       "            fig.send_message('set_dpi_ratio', { dpi_ratio: fig.ratio });\n",
       "        }\n",
       "        fig.send_message('refresh', {});\n",
       "    };\n",
       "\n",
       "    this.imageObj.onload = function () {\n",
       "        if (fig.image_mode === 'full') {\n",
       "            // Full images could contain transparency (where diff images\n",
       "            // almost always do), so we need to clear the canvas so that\n",
       "            // there is no ghosting.\n",
       "            fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "        }\n",
       "        fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "    };\n",
       "\n",
       "    this.imageObj.onunload = function () {\n",
       "        fig.ws.close();\n",
       "    };\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_header = function () {\n",
       "    var titlebar = document.createElement('div');\n",
       "    titlebar.classList =\n",
       "        'ui-dialog-titlebar ui-widget-header ui-corner-all ui-helper-clearfix';\n",
       "    var titletext = document.createElement('div');\n",
       "    titletext.classList = 'ui-dialog-title';\n",
       "    titletext.setAttribute(\n",
       "        'style',\n",
       "        'width: 100%; text-align: center; padding: 3px;'\n",
       "    );\n",
       "    titlebar.appendChild(titletext);\n",
       "    this.root.appendChild(titlebar);\n",
       "    this.header = titletext;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = (this.canvas_div = document.createElement('div'));\n",
       "    canvas_div.setAttribute(\n",
       "        'style',\n",
       "        'border: 1px solid #ddd;' +\n",
       "            'box-sizing: content-box;' +\n",
       "            'clear: both;' +\n",
       "            'min-height: 1px;' +\n",
       "            'min-width: 1px;' +\n",
       "            'outline: 0;' +\n",
       "            'overflow: hidden;' +\n",
       "            'position: relative;' +\n",
       "            'resize: both;'\n",
       "    );\n",
       "\n",
       "    function on_keyboard_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.key_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    canvas_div.addEventListener(\n",
       "        'keydown',\n",
       "        on_keyboard_event_closure('key_press')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'keyup',\n",
       "        on_keyboard_event_closure('key_release')\n",
       "    );\n",
       "\n",
       "    this._canvas_extra_style(canvas_div);\n",
       "    this.root.appendChild(canvas_div);\n",
       "\n",
       "    var canvas = (this.canvas = document.createElement('canvas'));\n",
       "    canvas.classList.add('mpl-canvas');\n",
       "    canvas.setAttribute('style', 'box-sizing: content-box;');\n",
       "\n",
       "    this.context = canvas.getContext('2d');\n",
       "\n",
       "    var backingStore =\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        this.context.webkitBackingStorePixelRatio ||\n",
       "        this.context.mozBackingStorePixelRatio ||\n",
       "        this.context.msBackingStorePixelRatio ||\n",
       "        this.context.oBackingStorePixelRatio ||\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        1;\n",
       "\n",
       "    this.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband_canvas = (this.rubberband_canvas = document.createElement(\n",
       "        'canvas'\n",
       "    ));\n",
       "    rubberband_canvas.setAttribute(\n",
       "        'style',\n",
       "        'box-sizing: content-box; position: absolute; left: 0; top: 0; z-index: 1;'\n",
       "    );\n",
       "\n",
       "    // Apply a ponyfill if ResizeObserver is not implemented by browser.\n",
       "    if (this.ResizeObserver === undefined) {\n",
       "        if (window.ResizeObserver !== undefined) {\n",
       "            this.ResizeObserver = window.ResizeObserver;\n",
       "        } else {\n",
       "            var obs = _JSXTOOLS_RESIZE_OBSERVER({});\n",
       "            this.ResizeObserver = obs.ResizeObserver;\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.resizeObserverInstance = new this.ResizeObserver(function (entries) {\n",
       "        var nentries = entries.length;\n",
       "        for (var i = 0; i < nentries; i++) {\n",
       "            var entry = entries[i];\n",
       "            var width, height;\n",
       "            if (entry.contentBoxSize) {\n",
       "                if (entry.contentBoxSize instanceof Array) {\n",
       "                    // Chrome 84 implements new version of spec.\n",
       "                    width = entry.contentBoxSize[0].inlineSize;\n",
       "                    height = entry.contentBoxSize[0].blockSize;\n",
       "                } else {\n",
       "                    // Firefox implements old version of spec.\n",
       "                    width = entry.contentBoxSize.inlineSize;\n",
       "                    height = entry.contentBoxSize.blockSize;\n",
       "                }\n",
       "            } else {\n",
       "                // Chrome <84 implements even older version of spec.\n",
       "                width = entry.contentRect.width;\n",
       "                height = entry.contentRect.height;\n",
       "            }\n",
       "\n",
       "            // Keep the size of the canvas and rubber band canvas in sync with\n",
       "            // the canvas container.\n",
       "            if (entry.devicePixelContentBoxSize) {\n",
       "                // Chrome 84 implements new version of spec.\n",
       "                canvas.setAttribute(\n",
       "                    'width',\n",
       "                    entry.devicePixelContentBoxSize[0].inlineSize\n",
       "                );\n",
       "                canvas.setAttribute(\n",
       "                    'height',\n",
       "                    entry.devicePixelContentBoxSize[0].blockSize\n",
       "                );\n",
       "            } else {\n",
       "                canvas.setAttribute('width', width * fig.ratio);\n",
       "                canvas.setAttribute('height', height * fig.ratio);\n",
       "            }\n",
       "            canvas.setAttribute(\n",
       "                'style',\n",
       "                'width: ' + width + 'px; height: ' + height + 'px;'\n",
       "            );\n",
       "\n",
       "            rubberband_canvas.setAttribute('width', width);\n",
       "            rubberband_canvas.setAttribute('height', height);\n",
       "\n",
       "            // And update the size in Python. We ignore the initial 0/0 size\n",
       "            // that occurs as the element is placed into the DOM, which should\n",
       "            // otherwise not happen due to the minimum size styling.\n",
       "            if (fig.ws.readyState == 1 && width != 0 && height != 0) {\n",
       "                fig.request_resize(width, height);\n",
       "            }\n",
       "        }\n",
       "    });\n",
       "    this.resizeObserverInstance.observe(canvas_div);\n",
       "\n",
       "    function on_mouse_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.mouse_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousedown',\n",
       "        on_mouse_event_closure('button_press')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseup',\n",
       "        on_mouse_event_closure('button_release')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'dblclick',\n",
       "        on_mouse_event_closure('dblclick')\n",
       "    );\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousemove',\n",
       "        on_mouse_event_closure('motion_notify')\n",
       "    );\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseenter',\n",
       "        on_mouse_event_closure('figure_enter')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseleave',\n",
       "        on_mouse_event_closure('figure_leave')\n",
       "    );\n",
       "\n",
       "    canvas_div.addEventListener('wheel', function (event) {\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        on_mouse_event_closure('scroll')(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.appendChild(canvas);\n",
       "    canvas_div.appendChild(rubberband_canvas);\n",
       "\n",
       "    this.rubberband_context = rubberband_canvas.getContext('2d');\n",
       "    this.rubberband_context.strokeStyle = '#000000';\n",
       "\n",
       "    this._resize_canvas = function (width, height, forward) {\n",
       "        if (forward) {\n",
       "            canvas_div.style.width = width + 'px';\n",
       "            canvas_div.style.height = height + 'px';\n",
       "        }\n",
       "    };\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    this.rubberband_canvas.addEventListener('contextmenu', function (_e) {\n",
       "        event.preventDefault();\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus() {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'mpl-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'mpl-button-group';\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'mpl-button-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        var button = (fig.buttons[name] = document.createElement('button'));\n",
       "        button.classList = 'mpl-widget';\n",
       "        button.setAttribute('role', 'button');\n",
       "        button.setAttribute('aria-disabled', 'false');\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "\n",
       "        var icon_img = document.createElement('img');\n",
       "        icon_img.src = '_images/' + image + '.png';\n",
       "        icon_img.srcset = '_images/' + image + '_large.png 2x';\n",
       "        icon_img.alt = tooltip;\n",
       "        button.appendChild(icon_img);\n",
       "\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    var fmt_picker = document.createElement('select');\n",
       "    fmt_picker.classList = 'mpl-widget';\n",
       "    toolbar.appendChild(fmt_picker);\n",
       "    this.format_dropdown = fmt_picker;\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = document.createElement('option');\n",
       "        option.selected = fmt === mpl.default_extension;\n",
       "        option.innerHTML = fmt;\n",
       "        fmt_picker.appendChild(option);\n",
       "    }\n",
       "\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.request_resize = function (x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', { width: x_pixels, height: y_pixels });\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_message = function (type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function () {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({ type: 'draw', figure_id: this.id }));\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function (fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] !== fig.canvas.width || size[1] !== fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1], msg['forward']);\n",
       "        fig.send_message('refresh', {});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function (fig, msg) {\n",
       "    var x0 = msg['x0'] / fig.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / fig.ratio;\n",
       "    var x1 = msg['x1'] / fig.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / fig.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0,\n",
       "        0,\n",
       "        fig.canvas.width / fig.ratio,\n",
       "        fig.canvas.height / fig.ratio\n",
       "    );\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function (fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function (fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch (cursor) {\n",
       "        case 0:\n",
       "            cursor = 'pointer';\n",
       "            break;\n",
       "        case 1:\n",
       "            cursor = 'default';\n",
       "            break;\n",
       "        case 2:\n",
       "            cursor = 'crosshair';\n",
       "            break;\n",
       "        case 3:\n",
       "            cursor = 'move';\n",
       "            break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_message = function (fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function (fig, _msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function (fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_history_buttons = function (fig, msg) {\n",
       "    for (var key in msg) {\n",
       "        if (!(key in fig.buttons)) {\n",
       "            continue;\n",
       "        }\n",
       "        fig.buttons[key].disabled = !msg[key];\n",
       "        fig.buttons[key].setAttribute('aria-disabled', !msg[key]);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_navigate_mode = function (fig, msg) {\n",
       "    if (msg['mode'] === 'PAN') {\n",
       "        fig.buttons['Pan'].classList.add('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    } else if (msg['mode'] === 'ZOOM') {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.add('active');\n",
       "    } else {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message('ack', {});\n",
       "};\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function (fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            var img = evt.data;\n",
       "            if (img.type !== 'image/png') {\n",
       "                /* FIXME: We get \"Resource interpreted as Image but\n",
       "                 * transferred with MIME type text/plain:\" errors on\n",
       "                 * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "                 * to be part of the websocket stream */\n",
       "                img.type = 'image/png';\n",
       "            }\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src\n",
       "                );\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                img\n",
       "            );\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        } else if (\n",
       "            typeof evt.data === 'string' &&\n",
       "            evt.data.slice(0, 21) === 'data:image/png;base64'\n",
       "        ) {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig['handle_' + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\n",
       "                \"No handler for the '\" + msg_type + \"' message type: \",\n",
       "                msg\n",
       "            );\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\n",
       "                    \"Exception inside the 'handler_\" + msg_type + \"' callback:\",\n",
       "                    e,\n",
       "                    e.stack,\n",
       "                    msg\n",
       "                );\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "};\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function (e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e) {\n",
       "        e = window.event;\n",
       "    }\n",
       "    if (e.target) {\n",
       "        targ = e.target;\n",
       "    } else if (e.srcElement) {\n",
       "        targ = e.srcElement;\n",
       "    }\n",
       "    if (targ.nodeType === 3) {\n",
       "        // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "    }\n",
       "\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    var boundingRect = targ.getBoundingClientRect();\n",
       "    var x = e.pageX - (boundingRect.left + document.body.scrollLeft);\n",
       "    var y = e.pageY - (boundingRect.top + document.body.scrollTop);\n",
       "\n",
       "    return { x: x, y: y };\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys(original) {\n",
       "    return Object.keys(original).reduce(function (obj, key) {\n",
       "        if (typeof original[key] !== 'object') {\n",
       "            obj[key] = original[key];\n",
       "        }\n",
       "        return obj;\n",
       "    }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function (event, name) {\n",
       "    var canvas_pos = mpl.findpos(event);\n",
       "\n",
       "    if (name === 'button_press') {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * this.ratio;\n",
       "    var y = canvas_pos.y * this.ratio;\n",
       "\n",
       "    this.send_message(name, {\n",
       "        x: x,\n",
       "        y: y,\n",
       "        button: event.button,\n",
       "        step: event.step,\n",
       "        guiEvent: simpleKeys(event),\n",
       "    });\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (_event, _name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.key_event = function (event, name) {\n",
       "    // Prevent repeat events\n",
       "    if (name === 'key_press') {\n",
       "        if (event.key === this._key) {\n",
       "            return;\n",
       "        } else {\n",
       "            this._key = event.key;\n",
       "        }\n",
       "    }\n",
       "    if (name === 'key_release') {\n",
       "        this._key = null;\n",
       "    }\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.key !== 'Control') {\n",
       "        value += 'ctrl+';\n",
       "    }\n",
       "    else if (event.altKey && event.key !== 'Alt') {\n",
       "        value += 'alt+';\n",
       "    }\n",
       "    else if (event.shiftKey && event.key !== 'Shift') {\n",
       "        value += 'shift+';\n",
       "    }\n",
       "\n",
       "    value += 'k' + event.key;\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, { key: value, guiEvent: simpleKeys(event) });\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function (name) {\n",
       "    if (name === 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message('toolbar_button', { name: name });\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function (tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "\n",
       "///////////////// REMAINING CONTENT GENERATED BY embed_js.py /////////////////\n",
       "// prettier-ignore\n",
       "var _JSXTOOLS_RESIZE_OBSERVER=function(A){var t,i=new WeakMap,n=new WeakMap,a=new WeakMap,r=new WeakMap,o=new Set;function s(e){if(!(this instanceof s))throw new TypeError(\"Constructor requires 'new' operator\");i.set(this,e)}function h(){throw new TypeError(\"Function is not a constructor\")}function c(e,t,i,n){e=0 in arguments?Number(arguments[0]):0,t=1 in arguments?Number(arguments[1]):0,i=2 in arguments?Number(arguments[2]):0,n=3 in arguments?Number(arguments[3]):0,this.right=(this.x=this.left=e)+(this.width=i),this.bottom=(this.y=this.top=t)+(this.height=n),Object.freeze(this)}function d(){t=requestAnimationFrame(d);var s=new WeakMap,p=new Set;o.forEach((function(t){r.get(t).forEach((function(i){var r=t instanceof window.SVGElement,o=a.get(t),d=r?0:parseFloat(o.paddingTop),f=r?0:parseFloat(o.paddingRight),l=r?0:parseFloat(o.paddingBottom),u=r?0:parseFloat(o.paddingLeft),g=r?0:parseFloat(o.borderTopWidth),m=r?0:parseFloat(o.borderRightWidth),w=r?0:parseFloat(o.borderBottomWidth),b=u+f,F=d+l,v=(r?0:parseFloat(o.borderLeftWidth))+m,W=g+w,y=r?0:t.offsetHeight-W-t.clientHeight,E=r?0:t.offsetWidth-v-t.clientWidth,R=b+v,z=F+W,M=r?t.width:parseFloat(o.width)-R-E,O=r?t.height:parseFloat(o.height)-z-y;if(n.has(t)){var k=n.get(t);if(k[0]===M&&k[1]===O)return}n.set(t,[M,O]);var S=Object.create(h.prototype);S.target=t,S.contentRect=new c(u,d,M,O),s.has(i)||(s.set(i,[]),p.add(i)),s.get(i).push(S)}))})),p.forEach((function(e){i.get(e).call(e,s.get(e),e)}))}return s.prototype.observe=function(i){if(i instanceof window.Element){r.has(i)||(r.set(i,new Set),o.add(i),a.set(i,window.getComputedStyle(i)));var n=r.get(i);n.has(this)||n.add(this),cancelAnimationFrame(t),t=requestAnimationFrame(d)}},s.prototype.unobserve=function(i){if(i instanceof window.Element&&r.has(i)){var n=r.get(i);n.has(this)&&(n.delete(this),n.size||(r.delete(i),o.delete(i))),n.size||r.delete(i),o.size||cancelAnimationFrame(t)}},A.DOMRectReadOnly=c,A.ResizeObserver=s,A.ResizeObserverEntry=h,A}; // eslint-disable-line\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Left button pans, Right button zooms\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pgf\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";/* global mpl */\n",
       "\n",
       "var comm_websocket_adapter = function (comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.binaryType = comm.kernel.ws.binaryType;\n",
       "    ws.readyState = comm.kernel.ws.readyState;\n",
       "    function updateReadyState(_event) {\n",
       "        if (comm.kernel.ws) {\n",
       "            ws.readyState = comm.kernel.ws.readyState;\n",
       "        } else {\n",
       "            ws.readyState = 3; // Closed state.\n",
       "        }\n",
       "    }\n",
       "    comm.kernel.ws.addEventListener('open', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('close', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('error', updateReadyState);\n",
       "\n",
       "    ws.close = function () {\n",
       "        comm.close();\n",
       "    };\n",
       "    ws.send = function (m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function (msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        var data = msg['content']['data'];\n",
       "        if (data['blob'] !== undefined) {\n",
       "            data = {\n",
       "                data: new Blob(msg['buffers'], { type: data['blob'] }),\n",
       "            };\n",
       "        }\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(data);\n",
       "    });\n",
       "    return ws;\n",
       "};\n",
       "\n",
       "mpl.mpl_figure_comm = function (comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = document.getElementById(id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm);\n",
       "\n",
       "    function ondownload(figure, _format) {\n",
       "        window.open(figure.canvas.toDataURL());\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy, ondownload, element);\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element;\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error('Failed to find cell for figure', id, fig);\n",
       "        return;\n",
       "    }\n",
       "    fig.cell_info[0].output_area.element.on(\n",
       "        'cleared',\n",
       "        { fig: fig },\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function (fig, msg) {\n",
       "    var width = fig.canvas.width / fig.ratio;\n",
       "    fig.cell_info[0].output_area.element.off(\n",
       "        'cleared',\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "    fig.resizeObserverInstance.unobserve(fig.canvas_div);\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable();\n",
       "    fig.parent_element.innerHTML =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "    fig.close_ws(fig, msg);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.close_ws = function (fig, msg) {\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function (_remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width / this.ratio;\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message('ack', {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () {\n",
       "        fig.push_to_output();\n",
       "    }, 1000);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'btn-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'btn-group';\n",
       "    var button;\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'btn-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        button = fig.buttons[name] = document.createElement('button');\n",
       "        button.classList = 'btn btn-default';\n",
       "        button.href = '#';\n",
       "        button.title = name;\n",
       "        button.innerHTML = '<i class=\"fa ' + image + ' fa-lg\"></i>';\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message pull-right';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = document.createElement('div');\n",
       "    buttongrp.classList = 'btn-group inline pull-right';\n",
       "    button = document.createElement('button');\n",
       "    button.classList = 'btn btn-mini btn-primary';\n",
       "    button.href = '#';\n",
       "    button.title = 'Stop Interaction';\n",
       "    button.innerHTML = '<i class=\"fa fa-power-off icon-remove icon-large\"></i>';\n",
       "    button.addEventListener('click', function (_evt) {\n",
       "        fig.handle_close(fig, {});\n",
       "    });\n",
       "    button.addEventListener(\n",
       "        'mouseover',\n",
       "        on_mouseover_closure('Stop Interaction')\n",
       "    );\n",
       "    buttongrp.appendChild(button);\n",
       "    var titlebar = this.root.querySelector('.ui-dialog-titlebar');\n",
       "    titlebar.insertBefore(buttongrp, titlebar.firstChild);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._remove_fig_handler = function (event) {\n",
       "    var fig = event.data.fig;\n",
       "    if (event.target !== this) {\n",
       "        // Ignore bubbled events from children.\n",
       "        return;\n",
       "    }\n",
       "    fig.close_ws(fig, {});\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (el) {\n",
       "    el.style.boxSizing = 'content-box'; // override notebook setting of border-box.\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (el) {\n",
       "    // this is important to make the div 'focusable\n",
       "    el.setAttribute('tabindex', 0);\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    } else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (event, _name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager) {\n",
       "        manager = IPython.keyboard_manager;\n",
       "    }\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which === 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "};\n",
       "\n",
       "mpl.find_output_cell = function (html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i = 0; i < ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code') {\n",
       "            for (var j = 0; j < cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] === html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "};\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel !== null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target(\n",
       "        'matplotlib',\n",
       "        mpl.mpl_figure_comm\n",
       "    );\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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\" width=\"404.4444551585636\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(4.5,4.5))\n",
    "\n",
    "plt.scatter(val_Y,val_P,c='royalblue')\n",
    "\n",
    "plt.text(0,3.6,'$R^2$: %.3f'%r2_score(val_Y,val_P),fontsize=14)\n",
    "plt.text(0,3.25,'Pearson R: %.3f'%pearsonr(val_Y,val_P)[0],fontsize=14)\n",
    "plt.text(0,2.9,'MAE: %.3f kcal/mol'%mean_absolute_error(val_Y,val_P),fontsize=14)\n",
    "\n",
    "plt.plot([0,ddG.max()],[0,ddG.max()],c='royalblue')\n",
    "plt.xlabel('$\\Delta$$\\Delta$$G_E$$_x$$_p$ (kcal/mol)',fontsize=14)\n",
    "plt.ylabel('$\\Delta$$\\Delta$$G_M$$_L$ (kcal/mol)',fontsize=14)\n",
    "plt.xticks([0,1,2,3,4],list(map(str,[0,1,2,3,4])),fontsize=13)\n",
    "plt.yticks([0,1,2,3,4],list(map(str,[0,1,2,3,4])),fontsize=13)\n",
    "\n",
    "plt.tick_params(bottom='on',left='on')\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "24a273fb",
   "metadata": {},
   "source": [
    "## Out-of-Sample Test Set"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "b4830fa5",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2022-11-21T07:49:49.765213Z",
     "start_time": "2022-11-21T07:49:44.992189Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "MAE: 0.3738, R2: 0.8219, Pearson R: 0.9254\n"
     ]
    }
   ],
   "source": [
    "test_P = []\n",
    "feature_importance = []\n",
    "for _ in range(10):\n",
    "    model.fit(train_val_x[:,sel_index],train_val_y)\n",
    "    feature_importance.append(model.feature_importances_)\n",
    "    test_p = model.predict(test_x[:,sel_index])\n",
    "    test_P.append(test_p)\n",
    "test_p = np.mean(test_P,axis=0)\n",
    "feature_importance = np.mean(feature_importance,axis=0)\n",
    "sel_feature_names = np.array(physorg_react_desc_name)[sel_index]\n",
    "sorted_feature_index = np.argsort(feature_importance)\n",
    "importance_desc_names = sel_feature_names[sorted_feature_index]\n",
    "importance_of_sel_desc = feature_importance[sorted_feature_index]\n",
    "\n",
    "r2 = r2_score(test_y,test_p)\n",
    "pearson_r,_ = pearsonr(test_y,test_p)\n",
    "mae = mean_absolute_error(test_y,test_p)\n",
    "print(\"MAE: %.4f, R2: %.4f, Pearson R: %.4f\"%(mae,r2,pearson_r))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "b34d671f",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2022-11-21T07:49:49.849412Z",
     "start_time": "2022-11-21T07:49:49.800759Z"
    }
   },
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "/* global mpl */\n",
       "window.mpl = {};\n",
       "\n",
       "mpl.get_websocket_type = function () {\n",
       "    if (typeof WebSocket !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof MozWebSocket !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert(\n",
       "            'Your browser does not have WebSocket support. ' +\n",
       "                'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "                'Firefox 4 and 5 are also supported but you ' +\n",
       "                'have to enable WebSockets in about:config.'\n",
       "        );\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure = function (figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = this.ws.binaryType !== undefined;\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById('mpl-warnings');\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent =\n",
       "                'This browser does not support binary websocket messages. ' +\n",
       "                'Performance may be slow.';\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = document.createElement('div');\n",
       "    this.root.setAttribute('style', 'display: inline-block');\n",
       "    this._root_extra_style(this.root);\n",
       "\n",
       "    parent_element.appendChild(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen = function () {\n",
       "        fig.send_message('supports_binary', { value: fig.supports_binary });\n",
       "        fig.send_message('send_image_mode', {});\n",
       "        if (fig.ratio !== 1) {\n",
       "            fig.send_message('set_dpi_ratio', { dpi_ratio: fig.ratio });\n",
       "        }\n",
       "        fig.send_message('refresh', {});\n",
       "    };\n",
       "\n",
       "    this.imageObj.onload = function () {\n",
       "        if (fig.image_mode === 'full') {\n",
       "            // Full images could contain transparency (where diff images\n",
       "            // almost always do), so we need to clear the canvas so that\n",
       "            // there is no ghosting.\n",
       "            fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "        }\n",
       "        fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "    };\n",
       "\n",
       "    this.imageObj.onunload = function () {\n",
       "        fig.ws.close();\n",
       "    };\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_header = function () {\n",
       "    var titlebar = document.createElement('div');\n",
       "    titlebar.classList =\n",
       "        'ui-dialog-titlebar ui-widget-header ui-corner-all ui-helper-clearfix';\n",
       "    var titletext = document.createElement('div');\n",
       "    titletext.classList = 'ui-dialog-title';\n",
       "    titletext.setAttribute(\n",
       "        'style',\n",
       "        'width: 100%; text-align: center; padding: 3px;'\n",
       "    );\n",
       "    titlebar.appendChild(titletext);\n",
       "    this.root.appendChild(titlebar);\n",
       "    this.header = titletext;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = (this.canvas_div = document.createElement('div'));\n",
       "    canvas_div.setAttribute(\n",
       "        'style',\n",
       "        'border: 1px solid #ddd;' +\n",
       "            'box-sizing: content-box;' +\n",
       "            'clear: both;' +\n",
       "            'min-height: 1px;' +\n",
       "            'min-width: 1px;' +\n",
       "            'outline: 0;' +\n",
       "            'overflow: hidden;' +\n",
       "            'position: relative;' +\n",
       "            'resize: both;'\n",
       "    );\n",
       "\n",
       "    function on_keyboard_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.key_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    canvas_div.addEventListener(\n",
       "        'keydown',\n",
       "        on_keyboard_event_closure('key_press')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'keyup',\n",
       "        on_keyboard_event_closure('key_release')\n",
       "    );\n",
       "\n",
       "    this._canvas_extra_style(canvas_div);\n",
       "    this.root.appendChild(canvas_div);\n",
       "\n",
       "    var canvas = (this.canvas = document.createElement('canvas'));\n",
       "    canvas.classList.add('mpl-canvas');\n",
       "    canvas.setAttribute('style', 'box-sizing: content-box;');\n",
       "\n",
       "    this.context = canvas.getContext('2d');\n",
       "\n",
       "    var backingStore =\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        this.context.webkitBackingStorePixelRatio ||\n",
       "        this.context.mozBackingStorePixelRatio ||\n",
       "        this.context.msBackingStorePixelRatio ||\n",
       "        this.context.oBackingStorePixelRatio ||\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        1;\n",
       "\n",
       "    this.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband_canvas = (this.rubberband_canvas = document.createElement(\n",
       "        'canvas'\n",
       "    ));\n",
       "    rubberband_canvas.setAttribute(\n",
       "        'style',\n",
       "        'box-sizing: content-box; position: absolute; left: 0; top: 0; z-index: 1;'\n",
       "    );\n",
       "\n",
       "    // Apply a ponyfill if ResizeObserver is not implemented by browser.\n",
       "    if (this.ResizeObserver === undefined) {\n",
       "        if (window.ResizeObserver !== undefined) {\n",
       "            this.ResizeObserver = window.ResizeObserver;\n",
       "        } else {\n",
       "            var obs = _JSXTOOLS_RESIZE_OBSERVER({});\n",
       "            this.ResizeObserver = obs.ResizeObserver;\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.resizeObserverInstance = new this.ResizeObserver(function (entries) {\n",
       "        var nentries = entries.length;\n",
       "        for (var i = 0; i < nentries; i++) {\n",
       "            var entry = entries[i];\n",
       "            var width, height;\n",
       "            if (entry.contentBoxSize) {\n",
       "                if (entry.contentBoxSize instanceof Array) {\n",
       "                    // Chrome 84 implements new version of spec.\n",
       "                    width = entry.contentBoxSize[0].inlineSize;\n",
       "                    height = entry.contentBoxSize[0].blockSize;\n",
       "                } else {\n",
       "                    // Firefox implements old version of spec.\n",
       "                    width = entry.contentBoxSize.inlineSize;\n",
       "                    height = entry.contentBoxSize.blockSize;\n",
       "                }\n",
       "            } else {\n",
       "                // Chrome <84 implements even older version of spec.\n",
       "                width = entry.contentRect.width;\n",
       "                height = entry.contentRect.height;\n",
       "            }\n",
       "\n",
       "            // Keep the size of the canvas and rubber band canvas in sync with\n",
       "            // the canvas container.\n",
       "            if (entry.devicePixelContentBoxSize) {\n",
       "                // Chrome 84 implements new version of spec.\n",
       "                canvas.setAttribute(\n",
       "                    'width',\n",
       "                    entry.devicePixelContentBoxSize[0].inlineSize\n",
       "                );\n",
       "                canvas.setAttribute(\n",
       "                    'height',\n",
       "                    entry.devicePixelContentBoxSize[0].blockSize\n",
       "                );\n",
       "            } else {\n",
       "                canvas.setAttribute('width', width * fig.ratio);\n",
       "                canvas.setAttribute('height', height * fig.ratio);\n",
       "            }\n",
       "            canvas.setAttribute(\n",
       "                'style',\n",
       "                'width: ' + width + 'px; height: ' + height + 'px;'\n",
       "            );\n",
       "\n",
       "            rubberband_canvas.setAttribute('width', width);\n",
       "            rubberband_canvas.setAttribute('height', height);\n",
       "\n",
       "            // And update the size in Python. We ignore the initial 0/0 size\n",
       "            // that occurs as the element is placed into the DOM, which should\n",
       "            // otherwise not happen due to the minimum size styling.\n",
       "            if (fig.ws.readyState == 1 && width != 0 && height != 0) {\n",
       "                fig.request_resize(width, height);\n",
       "            }\n",
       "        }\n",
       "    });\n",
       "    this.resizeObserverInstance.observe(canvas_div);\n",
       "\n",
       "    function on_mouse_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.mouse_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousedown',\n",
       "        on_mouse_event_closure('button_press')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseup',\n",
       "        on_mouse_event_closure('button_release')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'dblclick',\n",
       "        on_mouse_event_closure('dblclick')\n",
       "    );\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousemove',\n",
       "        on_mouse_event_closure('motion_notify')\n",
       "    );\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseenter',\n",
       "        on_mouse_event_closure('figure_enter')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseleave',\n",
       "        on_mouse_event_closure('figure_leave')\n",
       "    );\n",
       "\n",
       "    canvas_div.addEventListener('wheel', function (event) {\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        on_mouse_event_closure('scroll')(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.appendChild(canvas);\n",
       "    canvas_div.appendChild(rubberband_canvas);\n",
       "\n",
       "    this.rubberband_context = rubberband_canvas.getContext('2d');\n",
       "    this.rubberband_context.strokeStyle = '#000000';\n",
       "\n",
       "    this._resize_canvas = function (width, height, forward) {\n",
       "        if (forward) {\n",
       "            canvas_div.style.width = width + 'px';\n",
       "            canvas_div.style.height = height + 'px';\n",
       "        }\n",
       "    };\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    this.rubberband_canvas.addEventListener('contextmenu', function (_e) {\n",
       "        event.preventDefault();\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus() {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'mpl-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'mpl-button-group';\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'mpl-button-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        var button = (fig.buttons[name] = document.createElement('button'));\n",
       "        button.classList = 'mpl-widget';\n",
       "        button.setAttribute('role', 'button');\n",
       "        button.setAttribute('aria-disabled', 'false');\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "\n",
       "        var icon_img = document.createElement('img');\n",
       "        icon_img.src = '_images/' + image + '.png';\n",
       "        icon_img.srcset = '_images/' + image + '_large.png 2x';\n",
       "        icon_img.alt = tooltip;\n",
       "        button.appendChild(icon_img);\n",
       "\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    var fmt_picker = document.createElement('select');\n",
       "    fmt_picker.classList = 'mpl-widget';\n",
       "    toolbar.appendChild(fmt_picker);\n",
       "    this.format_dropdown = fmt_picker;\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = document.createElement('option');\n",
       "        option.selected = fmt === mpl.default_extension;\n",
       "        option.innerHTML = fmt;\n",
       "        fmt_picker.appendChild(option);\n",
       "    }\n",
       "\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.request_resize = function (x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', { width: x_pixels, height: y_pixels });\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_message = function (type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function () {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({ type: 'draw', figure_id: this.id }));\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function (fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] !== fig.canvas.width || size[1] !== fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1], msg['forward']);\n",
       "        fig.send_message('refresh', {});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function (fig, msg) {\n",
       "    var x0 = msg['x0'] / fig.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / fig.ratio;\n",
       "    var x1 = msg['x1'] / fig.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / fig.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0,\n",
       "        0,\n",
       "        fig.canvas.width / fig.ratio,\n",
       "        fig.canvas.height / fig.ratio\n",
       "    );\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function (fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function (fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch (cursor) {\n",
       "        case 0:\n",
       "            cursor = 'pointer';\n",
       "            break;\n",
       "        case 1:\n",
       "            cursor = 'default';\n",
       "            break;\n",
       "        case 2:\n",
       "            cursor = 'crosshair';\n",
       "            break;\n",
       "        case 3:\n",
       "            cursor = 'move';\n",
       "            break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_message = function (fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function (fig, _msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function (fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_history_buttons = function (fig, msg) {\n",
       "    for (var key in msg) {\n",
       "        if (!(key in fig.buttons)) {\n",
       "            continue;\n",
       "        }\n",
       "        fig.buttons[key].disabled = !msg[key];\n",
       "        fig.buttons[key].setAttribute('aria-disabled', !msg[key]);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_navigate_mode = function (fig, msg) {\n",
       "    if (msg['mode'] === 'PAN') {\n",
       "        fig.buttons['Pan'].classList.add('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    } else if (msg['mode'] === 'ZOOM') {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.add('active');\n",
       "    } else {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message('ack', {});\n",
       "};\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function (fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            var img = evt.data;\n",
       "            if (img.type !== 'image/png') {\n",
       "                /* FIXME: We get \"Resource interpreted as Image but\n",
       "                 * transferred with MIME type text/plain:\" errors on\n",
       "                 * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "                 * to be part of the websocket stream */\n",
       "                img.type = 'image/png';\n",
       "            }\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src\n",
       "                );\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                img\n",
       "            );\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        } else if (\n",
       "            typeof evt.data === 'string' &&\n",
       "            evt.data.slice(0, 21) === 'data:image/png;base64'\n",
       "        ) {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig['handle_' + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\n",
       "                \"No handler for the '\" + msg_type + \"' message type: \",\n",
       "                msg\n",
       "            );\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\n",
       "                    \"Exception inside the 'handler_\" + msg_type + \"' callback:\",\n",
       "                    e,\n",
       "                    e.stack,\n",
       "                    msg\n",
       "                );\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "};\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function (e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e) {\n",
       "        e = window.event;\n",
       "    }\n",
       "    if (e.target) {\n",
       "        targ = e.target;\n",
       "    } else if (e.srcElement) {\n",
       "        targ = e.srcElement;\n",
       "    }\n",
       "    if (targ.nodeType === 3) {\n",
       "        // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "    }\n",
       "\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    var boundingRect = targ.getBoundingClientRect();\n",
       "    var x = e.pageX - (boundingRect.left + document.body.scrollLeft);\n",
       "    var y = e.pageY - (boundingRect.top + document.body.scrollTop);\n",
       "\n",
       "    return { x: x, y: y };\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys(original) {\n",
       "    return Object.keys(original).reduce(function (obj, key) {\n",
       "        if (typeof original[key] !== 'object') {\n",
       "            obj[key] = original[key];\n",
       "        }\n",
       "        return obj;\n",
       "    }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function (event, name) {\n",
       "    var canvas_pos = mpl.findpos(event);\n",
       "\n",
       "    if (name === 'button_press') {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * this.ratio;\n",
       "    var y = canvas_pos.y * this.ratio;\n",
       "\n",
       "    this.send_message(name, {\n",
       "        x: x,\n",
       "        y: y,\n",
       "        button: event.button,\n",
       "        step: event.step,\n",
       "        guiEvent: simpleKeys(event),\n",
       "    });\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (_event, _name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.key_event = function (event, name) {\n",
       "    // Prevent repeat events\n",
       "    if (name === 'key_press') {\n",
       "        if (event.key === this._key) {\n",
       "            return;\n",
       "        } else {\n",
       "            this._key = event.key;\n",
       "        }\n",
       "    }\n",
       "    if (name === 'key_release') {\n",
       "        this._key = null;\n",
       "    }\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.key !== 'Control') {\n",
       "        value += 'ctrl+';\n",
       "    }\n",
       "    else if (event.altKey && event.key !== 'Alt') {\n",
       "        value += 'alt+';\n",
       "    }\n",
       "    else if (event.shiftKey && event.key !== 'Shift') {\n",
       "        value += 'shift+';\n",
       "    }\n",
       "\n",
       "    value += 'k' + event.key;\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, { key: value, guiEvent: simpleKeys(event) });\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function (name) {\n",
       "    if (name === 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message('toolbar_button', { name: name });\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function (tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "\n",
       "///////////////// REMAINING CONTENT GENERATED BY embed_js.py /////////////////\n",
       "// prettier-ignore\n",
       "var _JSXTOOLS_RESIZE_OBSERVER=function(A){var t,i=new WeakMap,n=new WeakMap,a=new WeakMap,r=new WeakMap,o=new Set;function s(e){if(!(this instanceof s))throw new TypeError(\"Constructor requires 'new' operator\");i.set(this,e)}function h(){throw new TypeError(\"Function is not a constructor\")}function c(e,t,i,n){e=0 in arguments?Number(arguments[0]):0,t=1 in arguments?Number(arguments[1]):0,i=2 in arguments?Number(arguments[2]):0,n=3 in arguments?Number(arguments[3]):0,this.right=(this.x=this.left=e)+(this.width=i),this.bottom=(this.y=this.top=t)+(this.height=n),Object.freeze(this)}function d(){t=requestAnimationFrame(d);var s=new WeakMap,p=new Set;o.forEach((function(t){r.get(t).forEach((function(i){var r=t instanceof window.SVGElement,o=a.get(t),d=r?0:parseFloat(o.paddingTop),f=r?0:parseFloat(o.paddingRight),l=r?0:parseFloat(o.paddingBottom),u=r?0:parseFloat(o.paddingLeft),g=r?0:parseFloat(o.borderTopWidth),m=r?0:parseFloat(o.borderRightWidth),w=r?0:parseFloat(o.borderBottomWidth),b=u+f,F=d+l,v=(r?0:parseFloat(o.borderLeftWidth))+m,W=g+w,y=r?0:t.offsetHeight-W-t.clientHeight,E=r?0:t.offsetWidth-v-t.clientWidth,R=b+v,z=F+W,M=r?t.width:parseFloat(o.width)-R-E,O=r?t.height:parseFloat(o.height)-z-y;if(n.has(t)){var k=n.get(t);if(k[0]===M&&k[1]===O)return}n.set(t,[M,O]);var S=Object.create(h.prototype);S.target=t,S.contentRect=new c(u,d,M,O),s.has(i)||(s.set(i,[]),p.add(i)),s.get(i).push(S)}))})),p.forEach((function(e){i.get(e).call(e,s.get(e),e)}))}return s.prototype.observe=function(i){if(i instanceof window.Element){r.has(i)||(r.set(i,new Set),o.add(i),a.set(i,window.getComputedStyle(i)));var n=r.get(i);n.has(this)||n.add(this),cancelAnimationFrame(t),t=requestAnimationFrame(d)}},s.prototype.unobserve=function(i){if(i instanceof window.Element&&r.has(i)){var n=r.get(i);n.has(this)&&(n.delete(this),n.size||(r.delete(i),o.delete(i))),n.size||r.delete(i),o.size||cancelAnimationFrame(t)}},A.DOMRectReadOnly=c,A.ResizeObserver=s,A.ResizeObserverEntry=h,A}; // eslint-disable-line\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Left button pans, Right button zooms\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pgf\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";/* global mpl */\n",
       "\n",
       "var comm_websocket_adapter = function (comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.binaryType = comm.kernel.ws.binaryType;\n",
       "    ws.readyState = comm.kernel.ws.readyState;\n",
       "    function updateReadyState(_event) {\n",
       "        if (comm.kernel.ws) {\n",
       "            ws.readyState = comm.kernel.ws.readyState;\n",
       "        } else {\n",
       "            ws.readyState = 3; // Closed state.\n",
       "        }\n",
       "    }\n",
       "    comm.kernel.ws.addEventListener('open', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('close', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('error', updateReadyState);\n",
       "\n",
       "    ws.close = function () {\n",
       "        comm.close();\n",
       "    };\n",
       "    ws.send = function (m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function (msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        var data = msg['content']['data'];\n",
       "        if (data['blob'] !== undefined) {\n",
       "            data = {\n",
       "                data: new Blob(msg['buffers'], { type: data['blob'] }),\n",
       "            };\n",
       "        }\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(data);\n",
       "    });\n",
       "    return ws;\n",
       "};\n",
       "\n",
       "mpl.mpl_figure_comm = function (comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = document.getElementById(id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm);\n",
       "\n",
       "    function ondownload(figure, _format) {\n",
       "        window.open(figure.canvas.toDataURL());\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy, ondownload, element);\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element;\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error('Failed to find cell for figure', id, fig);\n",
       "        return;\n",
       "    }\n",
       "    fig.cell_info[0].output_area.element.on(\n",
       "        'cleared',\n",
       "        { fig: fig },\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function (fig, msg) {\n",
       "    var width = fig.canvas.width / fig.ratio;\n",
       "    fig.cell_info[0].output_area.element.off(\n",
       "        'cleared',\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "    fig.resizeObserverInstance.unobserve(fig.canvas_div);\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable();\n",
       "    fig.parent_element.innerHTML =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "    fig.close_ws(fig, msg);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.close_ws = function (fig, msg) {\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function (_remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width / this.ratio;\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message('ack', {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () {\n",
       "        fig.push_to_output();\n",
       "    }, 1000);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'btn-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'btn-group';\n",
       "    var button;\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'btn-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        button = fig.buttons[name] = document.createElement('button');\n",
       "        button.classList = 'btn btn-default';\n",
       "        button.href = '#';\n",
       "        button.title = name;\n",
       "        button.innerHTML = '<i class=\"fa ' + image + ' fa-lg\"></i>';\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message pull-right';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = document.createElement('div');\n",
       "    buttongrp.classList = 'btn-group inline pull-right';\n",
       "    button = document.createElement('button');\n",
       "    button.classList = 'btn btn-mini btn-primary';\n",
       "    button.href = '#';\n",
       "    button.title = 'Stop Interaction';\n",
       "    button.innerHTML = '<i class=\"fa fa-power-off icon-remove icon-large\"></i>';\n",
       "    button.addEventListener('click', function (_evt) {\n",
       "        fig.handle_close(fig, {});\n",
       "    });\n",
       "    button.addEventListener(\n",
       "        'mouseover',\n",
       "        on_mouseover_closure('Stop Interaction')\n",
       "    );\n",
       "    buttongrp.appendChild(button);\n",
       "    var titlebar = this.root.querySelector('.ui-dialog-titlebar');\n",
       "    titlebar.insertBefore(buttongrp, titlebar.firstChild);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._remove_fig_handler = function (event) {\n",
       "    var fig = event.data.fig;\n",
       "    if (event.target !== this) {\n",
       "        // Ignore bubbled events from children.\n",
       "        return;\n",
       "    }\n",
       "    fig.close_ws(fig, {});\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (el) {\n",
       "    el.style.boxSizing = 'content-box'; // override notebook setting of border-box.\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (el) {\n",
       "    // this is important to make the div 'focusable\n",
       "    el.setAttribute('tabindex', 0);\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    } else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (event, _name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager) {\n",
       "        manager = IPython.keyboard_manager;\n",
       "    }\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which === 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "};\n",
       "\n",
       "mpl.find_output_cell = function (html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i = 0; i < ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code') {\n",
       "            for (var j = 0; j < cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] === html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "};\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel !== null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target(\n",
       "        'matplotlib',\n",
       "        mpl.mpl_figure_comm\n",
       "    );\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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       "<img 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PBwsVUY3AAk5JiYGl19+OVhJ/ejRo8ryb968uSJtlgrjpzmLLlDovmHpMG4q/ORv0qSJcgOQvOm24MahCQmbPl766Pn/TzvtNLBSDQvw6rUe3RE2rVXObdOmTarajSZ6izhMmjQJrGtJ65gYOAp9yqzozi+Pynzk3Bjp1kpNTa3wPEunsTI8y69xY6pMiCuLWrBCPTcKx3mwEDNdJ/R3c4PmOuBGyXqgIr5HIOPYWnWDsag0B50Tr8LpTcZZnqyJihC2Dwibn9wkLf4Y+WNllRd+Rt97772qCgwL4D7wwAPKOmVpLU3WrFmjqquTbJ544gn117m5uSdUWWe5LpL89ddfr/zjmpCw+alOFwNdDZqwxmPXrl3x6aefqnqT7oTP0Pf7888/48wzz1TNOIcRI0aoGo/UjweoFK16DP3CGuHz71kPcs6cOTh8+LA66KtMuPjYNy1NCn3Yb775piI5fj3QneAoegmbh33cXKiDoyuCfdHi5TtgFR5uSO6EeO3Zs0cVImbRYU00EqbLhJi4E/bPTZIHldzIHKVHjx4YOXKkcrVQR74vfhXw64RuGxHfIrA3exXmbx6HotJcnNLwBnRvNCYoyJqoCGG7WRueAOMcJaJ1TSuX5EoiogVFC5KW8Ny5c08YnRYvy3HxM9pZaFXT+i0rK1PWHy1ER1IjYZPg6TN1dF9oZcBoxVEHRwLSxqDPldY9dXMu+fXLL78oAmd5sPHjx5cTNomdlirnp8lLL70EVmVfu3at2lSqImxX/z5kyBBF3Pyi8EQ4T7osqBstWUeh/nQn0fVDd487Yf3LG2+8EYMHD8ZTTz2lvnj4tcEvHvbLLx66gVwJ3V3c0IgBv2I6d+5c5TRYnJkHrrTohw4dWmV7aeAZAruP/qay7pWUFSii7tboRs86CtBTnvCSo6ph/08MYWVkERuJJ8BohE2fLq0lLayPVpYjSZJE+KN2JyxaS/cEZe/evXjwwQeV5XXkyJEKjzDigRagJiRsRhqQJJyFfdC3zQ2DfmH6eGlRa5/qPOBj1XS6TBytdvaTmZmpLFXHyA0SEnWki8ZRGAlD3y6xcPSNu5or8WE/jzzyiIqo4ZcDffh0HZEMGZnhidB9Q3dFZRY29a5qQ6AuDAvkJkjhhvbqq6+qryd+SXz11VcnqEd3F10mtJjpeuEXhB7ZsGGDsshZ95Obnoj3EdiZtRwLt9yLkrJC9GgyDp0bXO39QXzcoye8JITt5qVohO0cJeLcnP5RuhZIBq6EoWS0aOmOYDu6VWi10k1ANwOtc/6waXHTenYkbJK280GZ9u+0Kkn8tKBJiCzUS0uUft3KCJs+cVr9JGK2p2iHjo7j8+81wtZTaNiVD5t+Z86ThEjC80Sq8mHT7UMS1hPnTWuaOlH4Ljjf9u3bK5fWs88+W0E9HiDywJQY05fPcwS9Qn14+EhL+4MPPtD7mLTTicC2zB+xaOuDKC0rQq+m96ND4n8uQ51dWKKZELab1+AJMHoJm64CWtgk4spE8z0zjpfxvI5C/ysJxwhhOz7Pg1D6y7kp0O9dmUuE7hlGpji7RDi2twmbOmoWMl0xjj5+vb+YBQsWKFcGfeOMcHEUukFoKTv7x/X2TZcS/djOGxLxYzw2o1tcjVtV/3SfcEPQzjmqai//rh+BLUcWYvHWR1CGUhW2d3K94L3A5gkvOSIlLhEHNPQStmYB0k9LP6mj0LPESzb169dXN/RI7vS7kiw1oa+TlhhjjfUQNi1kumGcLcr+/fur0D9a6hTt0NGRKKkPL4QwNND50NFXhM2IGRIr/fTz5s0rn7fesD66JYgN3UOMxImMPH5jTYvDpmvovvvuK++X49HCZfx3ZcKDRG5y/IpxPEjkpnf11Vdj1qxZ6oyALjF3QjeNFgGktSHZX3TRRcpHrufLRD9VScu0Q6lYuv34xSVeiGlb97ygBkUI283r8wQYvYTNg0PGRzNKhD9UHjSSVHitmcTIT2la1HRZkLBJjIyDpr+ZBPTFF18oFwV/6HoIm33SN82xGAZIlwyJgdEJt9xyC2bOnKlQoE+a4Xn8tNfC+hgJQX/s2LFjVdihJr5yiWj90/1C9wr98Qw1pOiNEmFbLV6al1e4uWk3HRnSyE3K8TBSi3hxPIbhuLxcwwNA+vaJDS1nngEw4scxTI/tGC3DrwHi5Cz8OuG5BIXWOcfnmNSFBE7XD8MY9YZDBjXj+FH5TQe/wU87nkQYwtG/5ZNoU2ewH0f3zVCe8JKjJmJhO6Chl7D5CEmb1thHH32kDtto/TZr1kxZlYzxpZ9UI1H+yBmRQSLlgSHD0ujDdrZwtYszzj5sbgS06um7JnHRB04CISnS/aBZoByPuri6OEOr0dXFGV+4RKgHY7CJAQnz+++/N0zYfODLL79U5wSMF9dyidDv7Hx70hVh0+om+XKDJKnSWmcoH91T/P+Ooj3v7if67rvvqgNbCq1obnz8eqJbihsAY8UZRcSvLUeMffOTD41eNxyYjeU7n1X5QAa0moRWtQbYYuJC2G5eo1lgbLE6ZBKCQBAisC5jFlbsfhHhYVE4u/VzaFGzTxDOwrXKZnlJLGzbLAWZiCAQ/Ais2fcu/tgzDRFhMRjU5gU0rfHfxbTgn51cnHH7Ds3uZHZYHDIHQSBYEOD5w6q9b2DVvjdUdRiW9GqccGqwqK9bT7O8JBa2bqiloSAgCPgCAZI1req/Mt5DVHi8KpbbsHpXXwwV8D6FsMWHHfBFKAoIAp4iQLKmv/rv/R8hOiIBQ5OmITG+YsIvT/u24nNC2ELYVlyXopMgUCUCZWWlWL5zMjYe/BwxETWRkvwa6sVVHktfZacWbyCELYRt8SUq6gkCJyJQWlaCn3c8jU2HvkFsZB2kJM9AnVj3ybzsgqEQthC2XdayzCNEECgtK8bS7RORfjgVcVH1MSx5BmpVaxUSsxfCFsIOiYUuk7QHAkzetHjro9ia+QOqRzfEsOSZqBHTzB6T0zELIWwhbB3LRJoIAoFHoKS0UGXc2561FAnRTTAs+XUkxDQKvGJ+1EAIWwjbj8tNhhIEPEOguDQfP2y5HzuPLkfNmBbKZ109umKKAM96dv0UDzQ3H5kHXnHPLtyLhOhGaF//YrSpPSSgRXptR9jM88y8GUwIr2VGY4Y15sdgaSa9YhYYveNIO/8iwKRazHzI/CrMveJPcZfrxZ86uBrLSA7zQOhaVJKHBVvuxp7s31GrWmvls46LquczVUjWi7Y+hG2ZS1RKVoC1WcJUEqmWtfpjYKtJASNts7xkuYszrFvITGvMnMYkP0zMzwoezIbG7Hh6SdsTYBxLhDnmjnZcWcyXzCT3FHeFDlggl/mumeyJGxDLUTmLVvbL3aplNrmq8m1XtuKJFTc5Jj9igiIWDWZaUla5qUqYOIl1Kfks6yIy/SjJivUkmcjKsdajRqDu+uS4zBboSphAi4mTOE9XBQVcPWNVwmbmRBZLJnZMAuZPsTJhF5bkqPqL+46tRp3YtkhJeg2xUbV9Cg8PM3/cNgFlKDlhnDBEoF/LCUiqk+JTHdx17gkvOfZlOcJ2NVFWC69Xr56qTO1c/sqbwGiEzfSlJFxXhDl8+HBFQKyY7Y6wmcWPxWK54TBn9YcffuiWsFmKzLHgrtaQpMhSVZ7I8uXL1bjMD830q9nZ2WrTY1Y/bnzO2eqcx2D6UOab5qZJ8omIiFDkzSosrG/Igghabm4m7ucfZ2GGPm6+HJeZCV0JM+exoDGrwgQ7YV9xxRVgvm/i62+xKmEXFGdj3ubbsT9nHerFnYyhSdNRLbKmz+H5dtN1yMhhlSFXVQ/D0CC+M4afdLzykr8lJAibt6GYP5r5hlmTT494AoxG2LQkWYaKVirzMWvCquAkcualJhm5I2xW7CbRnXLKKYqQ+JXgXIFcs7D1EpWeOWtt6EKiZbxx40ZVnYXC4gUs0MuUo1OnTjXSXXlbpoXlRsSq6ikplVsozCFNkmc6WBZzcBaWO2OucH7JsF6lXhysaGEz7znnyI2Jm5C/xYqEnV+ciblpt+Jg3j9IjO+MoUmvqpuM/pBZ64Ygt+iA26HiohIxqtOJBbT9oZsnvOSol2UtbCb356c4i9jyU5518lhJhZ/QesQTYDTCZgHYyZMnq0K3THqvCS1nkguT67OKiyvC1kpF8ROZtQ3btm0LVvBmvmRHMUrYWlFfx8T7rnDgV0FycrJyaTjXnKRrhvpx4/EkbzMT9XMzY8Uc1pF0J8zJzUIL7grd8jkWgOD7JTZ005ghbH7tUC9++XCjZd5rCtcQN3iuHebnZnV4FlS+/fbblfuCwq+JadOmgV8l3Fz4dcXNhpXZ+f4cxZ0Pe9GiRcrlROuam7T2bknefBd8D/S5cy288sorqvgBXWV8R6w3yQILLBjMEmWOwso7zP9NvFkGjoWUuVGyCnzjxo3Lm1qNsPOKDiM1fSwO56WhYfVuKpFTdES8np+tV9qIhe0VGI11QsuWPyIKP+HpO3a0dqvqzQxhk4hZToo/ZFrH/BFT+GNk6SsWDaDLwRVh08fLQrd8jsV46Vag+4BVTlwRNivRPPbYYydMh8+yqKsm2gGbc8EB5we1Si0sp0V3i6OwujmJQe+BHYmQ5cdYv5IWOudGUiMhV+anfeihhxTRMNk/XUiudOTXEmtecp5mCJvl00jQ7Itz7tPneO5kfpXxS4iV0UmmQ4YMUe9h9erV6myBJEgh9qzew82MVdhZjf31119X8yYBc+NxfAeuiiSzOATHof+aohE2CZ/l4lgtiJsFv1DonqJriX/HQhe0zFkQgRstv4hI8JpwwyOGdI1xg+NXCY0JEjx106rSW4mwadnOSRuDzPytaJLQQ6VIZfY9f4r4sP2J9v+PRYuIP0YSxFtvvaUIjz9IWieuxNXhl2PJKD1TcKw4w8ox/LHSUqaPWbOcqUP16tVdEjY/jekyGTZsWHl1cv7AWK6LPzZH67iqQ0fH0l/UXS9h0wXDQrCatec4b+rCzYbVb1jVvSrhhkVrVBNap/zK4JeHO6HVzHqMtA757hyr4fAZvlP61ln2i19ORr80HF0iJHsSMd0/rB3JDVUTVgLiVwD1d3ajcV1oXxisBelYbozPc0Oiu4ZfRY5nJu4sbFb/oeVLvBwJm24wrmMSLGXu3LmqHc8EeA7Acm4UEjWr89DdxC87x7asYsPaoZqwvNzIkSOV+4XnAxSrEPaxwgzMSRuNowU70KzGmTi79RREhsdUtcy8/u8SJeIGUhLUli1bwKgI/gBoLdBacv6Rmn0jJAFaqowqoKWnR8xa2LSAOCY/Q1NTU1V9QFplJCESnisLm/UTaQ3xE5mET2FoIn+wdKU4FuLViIqfwTxMdRZae1UVlXWFAz/lWfSXZbW0MmVaO1r+HIuuA1qdVQm/MniQRpKlO2rx4sWglU7CcCfz589XJEq8nn/++ROacfOiNUoi48bnKWFTF1ZUp9uDVdYdLVMOSsueunBt1qhRo6qpqn+nVc01RkLn+6NF7lid3RVhaxs5x9I2Mm1O3JTojtEkMzNTrScS9e+//15BJ57R0MonIVNofbNWJ39fzpE9NCT4lcB/swphZxfsUWSdXbgbLWr2U6FzEeHRunD3RaP/4rA/d4jDHhl6cdiM2CBx0UXB8Dt+NjsKrR7WLeSPmifnen8sVb00WoYkHH6e6xFvEDZ/MCQY/gB5kEe/J60ad7Uf6dfmlwB/jKy7qAktNboh+APTLDujRKVnzmyjHQxWZmE7H6bq7VvzYVdG+MSIXyX0zTqfN/AQkmGZrE6u+WuN4qBZ2LReiTE3Jn7VOAu/BrjRc2OoTHhGws2UX05Hjhyp0JREqZEi/8EVYdOfzC8Fuj4YPknR5sSwSm6gjsL3z98GsXQU9s3x6J6hcNPjWuIXgLPQVUJ9aTCxv0Bb2Fn5OzEn7RbkFGWgda1z0L/Vk6q8l8iJCHjCS07rJ4z/HVZWhf+A1gEPT/hZTZLmD4I/Pn7m05fGHwcXPD/9eZDDzzySN6MSeLhCC8JT4cIkYdKaIhHoEU+AcSarSq6+AAAgAElEQVRizofWMX3ntJrp/2QEiCvCZkFWHgTRFeBOaBXSMnf8Ues9bNMzZ7bR48N2ZbXp6Z/40yrmxkTSdRZa4g0bNlREzTXgLKwuzw1fsyL57/xioZuLLiC6cvg8x3AnGmHTVUBXGc8AeJDnLHoIm2u2S5cuyn989913q0NGbSOgy4EWd1VV7VkRnkTLqCFNHA8dqa/TD0652LipOYrzZhAshE1fNS3r3KKDSKozDH1bjFeFc0VcI+AJL3lE2HXq1AH/8IdF66iqywE8vCF5MMqCxEdC0yO0HkiK/CFxPPZDHx7dEKyirTc22RNgXBExL8nwa4I+TS3e2FU7hsqRPHhg5VzVm/NmhXPqTmvIl4StRWi4ixLh4ZzmwtLzPhzb0F1AMuUBGN1EzsIvEn7K8xCNG7WzkJQY7VCZcM04R0s4tnf0YfPwjv/t6M/V2upxiRALrjVGczgTK612ukQqI2xa52zHOHvHqBlvEHYwuEQYBZKaNhZ5xYdxUt0L0Lv5wwgPizC6rEKqvSe85BFhk2jok+OBiRGhVcYFfe211+p6jIcuJEiGsfFEnaRNXzKtL39GidCHTaFrgb5pHtKRqCiuCJsxzrQw3d1O5A+aJ/6MHvHEd6s3rI/60VLkOI5x2CQn/j3nRULVhKRDvfmlpF2GYdifq02Hh3eMiCC5uYo3piuMZwzsk75aZ+GhGy/JOAo3D5I7N2pixD7ov3cnznHY2n87+8z5BXDllVe6JHPt0PHvv/9WGzF9/o7nC3T5ca3z8LQywubmTJcZ8XKcrzcIWzugdD58pv+fXzi+OHQ0kn/jYO5GpKbdioKSLLSvfwl6Nb2vwnVvI33pIgabNPIbYQcbXp4A48437Tx353baD9/dQRuf1/y/7777rtq8tB+1u5uOfIYEpvm89UaJ8Dn6PnmoqN105Kf9iy++qDZbHqJpUQtsS11oqTqG+vHv6PvlBsUvKW6c7JMbF2OJV6xYcYKLi4eTdEO4+tyvbO146sN21JebxxNPPKFuZ9KfTCEpcxOgzpzH0KFD1YbEDYVfCjQi6GojYVMHfh1x06KfnS4buvBobFRG2IwG4pkKXV2O4g3CZn9aWN+IESPU+6QxwM2WbiO+R97+pTj7sD0hSyORFby5ODf9dhSWZKNT4ij0aHJXhbh+I30FG6+Y1dcTXnIc07IXZwIBjKeETeuf4XSVHeaRNBlFQ78/x6kqrI/zZySAFnFjhLD57NKlS1WMsZZLhBEIPJBkCJqjuCJskhzdUPTZ0wKmDow/p0uHc3V1kMyDO34d0TKk/1WveIOwORbnygNAxzMBEjIPibkh8WyFce3cVPiVwIs2FH65ML6cLjfiTQufONGCpW7uCJtfCiRMJipzvnrvLcLmeQj75+bCGG/t4gzPktxdnOnbt49HiY/0xi4zJ8i89HEoKs1B1wbX49TGY0+4hKW3L71rxE7t/EbYzhc/9IKoXWTQ295b7cwC4y09pB97IsDzFF7MIeE7b4KBnLGnZKnndmD3xqOxYPNdYKrU7o1uwSkNb3J5Y1ZPX4HK5RHId8OxzfKSbgubIVRGrjNrfkJ+VgZCzAITCJ1lzOBBgLHfjFiiG8xK4ilZVpV/g0VySdQlZQU4rfHt6NrQ/ZlUVX0FMpdHoN+VWV7STdj8rPREeAU5EGIWmEDoLGMKAmYR8JQsKyd6ZRuq7HdnNL0HHROvqFRNTzcNs3MPhufN8pJuwg4GMBx1NAtMsM1X9BUEiICnZFmZK0VD9sxmD6F9ffe3XLV2nrplQuENmuUlIexQWCUyx5BBwFOydB3Z8R9sfZo/hpPqXaALR4kScQ9TwAmbV2QZX8wwKyrDaAaGIzlnitP1pr3YyCwwXlRFuhIE/IaAGbJ0zL9xJH+LCttjWa2+LSYiua6xCi1WzeXhtxfhZiCzvOSxhc0QKOZEYGURHjBqifJ5CYNKkbB5AUa7jOFvoMwC4299ZTxBwFsIeEqW2nN/7pmpkjhROtS/FGc0vddwDcTi4nx8tekqZBYcT1BFqRXTGiNO+hCRkcfTFYeimOUljwmbN8x4WYE3vZj/WLuMwRt2jB3lVW224S2yQIhZYAKhs4wpCAQKAc0y35q5qEJpLdZANFq4lmT97tqzAFUA11nCcV3nZSFL2mZ5yWPCZjpL5h9mhQ9XwosJvHjBCwuBELPABEJnGVMQCBQC9H0v2Ubj6sQ6iEYL185ef3EFy9p5TrS0L+5QMVthoObt73HN8pLHhM0qLExmr+XccJ44E7/zBplz+lV/AWQWGH/pKeMIAlZA4KN1KSo9qmsxVrj2zVXdq5zSTd1WVtnGjg3M8pLHhM2rsbSiSdquhNd1aX2zGkggxCwwgdBZxhQE/I0Az5/+3DsDa/a9XenQRi67CGG7h9IsL3lM2MxHzBwHvFDjnA6TRH311VerjGeO5Y38uRjNAuNPXWUs3yHgSSIk32ljrZ5J1r/tfhnr9v9PRYOUufQ5H9e5QXwX6L1ObgXCtup7N8tLHhN2RkaGSpTDpDRMQ8mkOhRmbWPyG/4d69axgG4gxCwwgdBZxvQuAmZC3LyriX9700NWbPPLrinYcOAz8Np5o4RTsU0dOLqWk+uNRO/mD+mayJurTmfN+kraRuCmbhVLpOnqWGcjK793s7zkMWETO1ahYUQIY7EZh01h9Q0mj2fWNFc5kXVibrqZWWBMKyAdBBwBTy+RBFxxEwroISt2v2zH09h06GtUi6yNlKQZWLb9KRzI+9vtyPVjO+GCk48X36hKvlh/FQ4XbHDbrG5MB1zY4b9al1X1Z/TfrfzezfKSKcI2CqQ/25sFxp+6yli+QcDTa9q+0cY/vVZFVizhtTv7d6QdnoO4qHpISZqJ2rGt8P5f/dRFGXcSHZGAa7r8qGsSP++YhI0HP3fb1oi1rmtAp0ZWfu9meUkI25MVIc8EBQKeJkIKism5UbKqJE4xEbVQUJKJ+KgGGJY8EzWrNVc9vbP6DJSUua9HGhEWjetP+VUXNN9sug77c9a6bWvEH65rQKdGVn7vASVsHlowzSQrYRw+fFjdeHQUKsfE8oEQs8AEQmcZ07sIWNnS8u5M/+utKrJiy+rRjRVZ14j5r9r8W6tOq/TQkbHYN+r0O1elg5GIE09wsvJ7N8tLHlvYLEjL2nL0XbsruE7lJB+2J0tOnvEGAlW5B/q1nICkOsZyZHhDL1/2UZWFTUv5kg5foXp0wwpqvL2qB0pR7Fa1cETihm6/6VI90IRp5fceMMJmhAiLvLKGHv8/a+C5EkaLBELMAhMInWVM7yKg5wAuLCzcu4MGuLeq0qT2ano/OiReeoKWn66/AEcLdrrVvkZMc1za4Stdsws0YVr5vZvlJY8t7NjYWFU5m7X8rChmgbHinEQn4wh4mgjJ+EjWeKIiWVUMrWteow8GtXnBZSKnZdufwT+HvnA7iXZ1L8JZLR7WNUkrEKZV37tZXvKYsJlLZMyYMbj77rt1vUR/NzILjL/1lfEEAW8hQLJiyN6KXS+hqDQXkeGx6NnkTrSrd6HbrHvf/HMt9ueuc6tCYlxnnN/uXd0qWpUwdU/ARw3N8pLHhM1sfK+//jp+//13xMXF+Wh6nndrFhjPR5YnBYHAIpBfnIW56bfhYO4GJMZ1xJCkaYiJTKhUqUAfFAYWMf+NbpaXPCZsTpH+62nTpmHUqFFo3rw5IiIiTpj5zTff7D80HEYyC0xAlJZBBQGTCOQVHcHc9FtxKG8TGlY/BYPbvILoiPgqew30QWGVCtqkgVle8piwd+3ahREjRmDlSvdZtyRKxCarTKYRFAjkFh1EatpYHMnfjMYJp2FQ65cQFRGrS/dAHxTqUtIGjQJG2EOGDMGSJUtUCtUzzjjDbZRI3759AwKzWWACorQMKgh4iEBO4X7MSRuNrILtaFqjF85pPQWR4foru1jhoNDDqQfVY2Z5yWMLu3r16hg3bhyefvppSwJmFhhLTkqUEgRcIJBdsBdz0m5RZb2a1+yDs1tNRkR4tGGs5KDQMGSGHzDLSx4TdtOmTVVIH0uEWVHMAmPFOYlOgoAzAoydpmV9rHAfWtUaiP4tn0ZEeJQAZVEEzPKSx4T96KOPYunSpfjpp59U0V2riVlgrDYf0UcQcEYgM38bUtPGIKdoP9rUHoJ+LSciPCxSgLIwAmZ5yWPCXrRokUqhylJhN910k9sokT59+gQEPrPABERpGVQQ0InA4bzNiqzzig+hbd3hOKv5owgPOzFKS2d30sxPCJjlJY8JOzy84pVeZyub+UUkSsRPq0CGCSkEDuVuQmr6WOQXZ+LkehfhzGYPur0QE1LABMFkA0bYLA2mR6655ho9zbzexiwwXldIOhQEvIDAgZz16lJMQclRdKx/OXo2vceSLkkvTNWWXZjlJY8tbKujaRYYq89P9As9BDKO/YW56bejqDQHXRpcg9Ma3y5kHWTLwCwvGSLsQYMG4fzzz8d5552nfNZWFrPAWHluolvoIbA3eyXmbR6H4tI8dGt4M7o1ulnIOgiXgVleMkTYvCzDyJDCwkJ07txZkTfrN3br1s1y0JkFxnITEoVCFoFdR1dgwea7UVJWgNMa34quDa8PWSyCfeJmeckQYROsnJwczJ07F99++y1SU1Nx5MgRNG7cWFndF1xwAfr374+oqMDHgZoFJtgXhuhvDwR2ZC3DD1vuV+W7eja5G50ajLLHxEJ0FmZ5yTBhO+JcWlqKZcuW4ZtvvsH333+vSoUlJCSArhOSd0pKSsAqp5sFJkTXk0zbQghszVyMxVsfQmlZMc5s9gDa17/EQtqJKp4gYJaXTBG2s8KsQPP111/ju+++U2lXGfrXq1cvVeiAlrc/xSww/tRVxhIEnBHYfHgBlmx7VNVZZIx1u3oXCEg2QMAsL3mVsB3x3L9/v3KbkLzPOuss3HvvvX6F2ywwflVWBhMEHBBIOzQHS7dPUH/Tt8UEJNcdJvjYBAGzvOQzwg40vmaBCbT+Mn5oIvDPwa+wbMfTCEM4+rd6Cm1qDwpKIP5LJDUb2YV7kRDdCO3rX6yu0NutjqaRF2SWl3QTNnOGeCJyNd0T1OSZUERg/YHP8MvOySofyMBWz6JlLc/ciIEmS0nV6n71+o2w6Y82kuRJrqaHIuXInD1FYG3G//Db7pcQERaNs1tPQfOavT3qygpkKcUQLEDYeq+iO6sqV9M9+t3JQyGEwOp97+DPPdMRERaDwW1eQpMaPTyevRXIUsqNWYCwPV5BAXrQ7KdHgNSWYUMIAX6Frtw7E6v3vYWo8DhVf7FRgrlLaFYgSynoa3HC5mUaXqBhXLazBOoKuxB2CDFfEE6VZP37nqlYm/E+osLjMTRpGhpU72x6JlYgSytsGqaB9FEHZnlJ96GjK/0/+ugjVSLsn3/+cTu9kpISH0298m7NAhMQpWXQkECAZP3rruex/sAniImogaFJ01E/vr1X5m4FsrSCW8YrYPqgE7O85DFhf/bZZ7jsssvQrl079OvXDzNnzsQVV1yhrGxenmnfvr26rs5LM4EQs8AEQmcZ0/4I8FDw553P4p+DX6BaZC2kJM1A3bi2Xpu4FcjSCgefXgPUyx2Z5SWPCbtHjx4qCRRvNGZlZSExMRE//PADBgwYgLS0NPTs2VOR+MUXX+zlKevrziww+kaRVoKAfgRKy0qwbPuT+Pfwd4iNrIthyTNRO7a1/g50tLQKWUpBX9cvyywveUzY8fHxeOKJJ3DPPffg8OHDqFevHubPn49zzjlHacqaj0wStXLlSh3LzPtNzALjfY2kx1BGgPlAftz2ODYfmYf4qESkJM9ErWotfAKJkKVPYPVKp2Z5yWPCrlmzJqZMmYKbb74ZBQUFiI2NxaxZs3D55Zerib311lsYN26cyu4XCDELTCB0ljHtiUBJaRGWbHsEWzMXoXp0I2VZ14hpas/JyqwqRcAsL3lM2F26dAHzY0+ePFkp2KpVK/Tt2xfvvfee+u8rr7xS5c7euXNnQF6hWWACorQMajsESkoL8cPWB7Aj6ydF0iRrkrZRCfTtRaP6SnvXCJjlJY8J++6771YpVf/991+l2fjx4/HUU0+pA0iegvMq+2233YZXXnklIO/OLDABUVoGtRUCxaX5WLjlXuw6+itqxrRQZB0fnWh4jlbxSxtWXB44AQGzvOQxYWdkZODvv/9G7969ERMTg+LiYuUC+fjjjxEREYERI0bg5ZdfRlxcXEBem1lgAqK0DGobBIpK8jB/853Ye+xP1K7WBinJMxAXVdej+Vkh8sMjxeUh6xC21d+FELbV35B99SssOYZ56eOQkbMGdWNPQkrydFSLrO3xhK0QW+2x8vJgBQTM8pLHFrbV34NZYKw+P9HPmggUFB/F3PTbcCB3PerHdVA3GGMia5hS1gq3F01NQB4uR8AsL3lM2IsWLVJx15MmTXL5Oh5++GGcffbZKi47EGIWmEDoLGMGNwL5xZlITRuLQ3mb0CC+C4YkvYroiOqmJyUWtmkILdOBWV7ymLAHDhyI+vXr45NPPnEJxqhRo3DgwAEsWLDAEFhffPEFPv30U/zxxx/Yt2+fKvDLaBTemOTlHL1iFhi940g7QYAI5BYdwty0sTicn45G1btjcJuXERXhnfMb8WHbZ42Z5SWPCZtkTSv6rrvucokmo0OeeeYZ8HDSiPCGJEmah5ZMHLVp0yZMmDAB1apVw19//aWK/OoRs8DoGUPaCAJEIKfwAFLTRiOzYBuaJPTEoDbPIzI81mvgSJSI16AMeEdmecljwuZFmeeffx633nqrSxCmTZum6jjm5+cbAolWOTcDR2E8N8MF33jjDdx00026+jMLjK5BpFHII3CscC/mpI3G0YJdaF7jLAxsPRmR4TFex0VuL3od0oB0aJaXPCZsJnfq2LEjmATKlVxyySXKIqaFbFZyc3PBq/CM9Z44caKu7swCo2sQaRTSCBwt2K3I+ljhHrSsNQADWj6DiPCokMZEJl85AmZ5yWPCppviySefxIsvvog77rijvHwYL81MnTpVuUroMmEbs5Kamophw4apGG9mCNQjZoHRM4a0CV0EsvJ3KLLOKcpAm9qD0a/lE6oWo4ggUBkCZnnJY8LOy8tTESDM1kefM61tyvr167Fr1y6cdtpp+PHHH1WOETNy9OhR1RcnunbtWkRHR+vqziwwugaRRiGJwJG8LYqs84oPoW2d83BWi8cQHhYRkljIpI0hYJaXPCZsqsmkTy+88IKK6mBKVUpycjIuvfRSlcWPNyDNCNO3Mqf2ihUrsGzZMnTu7L4iBy1+Z3cJrX0RQcCbCBzKTUNq+hjkFx9Bu3oXonezhxAWFu7NIaQvGyMQUMKuCletcnpV7Vz9O6+60w8+b9489adPnz6GujELjKHBpHFIIHAgdyPmpt2KgpIsdKh/Kc5oel+5KzAkAJBJmkbALC95bGG/+eablUZssPIMK6Z/+OGHhifJsmLM9vfll1/im2++UXHYRsUsMEbHk/b2RiAjZx3mpd8GXjvvnHgVTm8yTsja3q/cJ7Mzy0seE3ZkZKRyhVx00UUnTIyWNS/OMIKElrIRIdFfd911YL1IPs94bE/ELDCejCnP2BOBvcdWY376HSgqzcUpDW9A90ZjhKzt+ap9PiuzvOQxYY8ePRrvv/++SrHKW4+akHBZ23H27Nl4/fXXceONNxoCgXHdr732Gu68807lC3cUxme3adNGV39mgdE1iDSyPQK7j/6OBVvuAlOlkqi7NTK2nm0PkEzQEAJmecljwqYVTUKlf3nx4sU49dRTQVcGK87wejldJtdff72hybBxy5YtsX37dpfP0cWiFUioqmOzwFTVv/y7/RHYmbVc5bMuKStEjybj0LnB1faftMzQpwiY5SWPCZuzKioqQkpKCtasWQMmg2KNR1ZMJ1nTrRFIMQtMIHWXsQOPwLbMH7Fo64MoLStCr6b3o0Nixa+9wGsoGgQjAmZ5yRRhEzDWbGQ89urVq1WlmbfffhtXXx14S8QsMMG4GERn7yCw5chCLN76CMpQit7NH8bJ9S70TsfSS8gjYJaXdBM2S365k4MHDyqLmmF4V111VYVmRsPxvPVGzQLjLT2kn+BC4HhmvMeV0n1ajEfbuucF1wREW0sjYJaXdBN2eHh4pSfj2iUVKkTRYrDp1w6EmAUmEDrLmIFFYNPBb/DTjicRhnD0b/kk2tQZHFiFZHTbIWCWl3QTNiNCPBEeFAZCzAITCJ1lzMAhsOHA51i+c5LKBzKg1SS0qhWYwhuBQ0BG9gcCZnlJN2H7YzLeHMMsMN7URfqyNgLr9n+EFbteQERYNM5u/Rya1zzL2gqLdkGLgFleEsIO2lcvinsDgTX73sMfe6YiIiwGg9q8gKY1zvBGt9KHIOASAb8R9j///IN27dp59Bo2btyIk08+2aNnPX3ILDCejivPBQcCPGNZte9NrNr7uqoOw5JejRNODQ7lRcugRcAsL+m2sHkVnRdlbr/9drCMlx5hhj3mxv7qq69UzLY/xSww/tRVxvIvAiTrP/dMx5qMdxEVHq+K5Tas3tW/SshoIYmAWV7STdi//PIL7rvvPvz666/qNiITMjFPdevWrVG7dm0VFXL48GGkp6erHNkLFy7Ezp07FblPmTIFvXr18usLMguMX5WVwfyGANfpit0v4e/9sxAdkYChSdOQGH88l7uIIOBrBMzykm7C1iayZMkSlSOEOURYuksL49P+nT+IuLg4DB8+HDfffLOqxRgIMQtMIHSWMX2LAOsiLt85GRsPfo6YiJpISX4N9eI8c/P5VlPp3a4ImOUlw4StAcksfCtXrsSGDRvAizMUJmdircdu3bqBLpRAillgAql7VWP/V5B1NrIL9yIhuhHa178YbWoPkWT6bsArLSvBzzuexqZD3yA2sg5SkmegTmxSVVDLvwsCXkXALC95TNhenYUPOjMLjA9U8kqXJOtFWx/Ctswl6uo0wKo6YeqyR8ta/TGw1SQhbSekS8uKsXT7RPAWY1xUfQxLnoFa1Vp55X1IJ4KAEQTM8pIQthG0LdD2+NXpCSjDiTdIwxCBfi0nIKlOigU0tYYKTN60eOuj2Jr5A6pHN8Sw5JmoEdPMGsqJFiGHgBC2m1duFhirrqRvN10HVj85blk7SxgaxHfG8JPesar6ftWrpLRQZdzbnrUUCdFNMCz5dSTENPKrDjKYIOCIgFleEgs7yNbTrHVDkFt0wK3WcVGJGNVpbpDNyvvqsuDAD1vux86jy1EzpoXyWVePbuD9gaRHQcAAAkLYYmE7ICAWNsEoKsnDwi33YHf2b6hVrbXyWcdF1TPws5KmgoBvEBDCDjHCFh925T+kwpIczN98J/YdW4U6sW2RkvQaYqNq++bXJ70KAgYREMIOMcKWKBH3v5CC4mzM23w79uesQ7249upSTLXImgZ/UtJcEPAdAkFD2Fp+bN9BUbFns8D4S09PxvkvDvtzhzjskSEdh51fnIW56bfiYO5GJMZ3xtCkV9VNRhFBwEoImOUlvxw6FhQUoF69esjOzvYbdmaB8ZuiMpBpBPKKjiA1fQwO56WhYfVuKpFTdES86X6lA0HA2wiY5SW/EXZsbCxKS3nRwz9iFhj/aCmjmEWAETNz0sYiM38LmiT0UClSmX1PRBCwIgJmeclrhM30qyeddJLLMmK0sJlfxJ/lwswCY8WXLTpVROBYYQbmpI3G0YIdaFbjTJzdegoiw2MEJkHAsgiY5SWvETZzh1SrVg2dO3fGKaecUv6nU6dOKpOfELZl11BQKpZdsEeRdXbhbrSo2U9dyY8Ijw7KuYjSoYOAZQibmfv++usvrFq1CqtXr1Z/1q9fr8ialjf/v1jYobMwfTnTrPydmJN2C3KKMtC61jno3+pJhIdF+XJI6VsQ8AoCliFsV7Nh0QIStUbgr776qlcmracTs8DoGUPa+B+BzPytmJM2Rt32TKozDH1bjFeFc0UEgWBAwCwvec0lsmvXLjRt2tQymJkFxjITEUXKETicl47UtDHIKz6Mk+pegN7NH0Z4WIQgJAgEDQJmeclrhB0eHo66desq3zXzYWt+7LZt2wYETLPABERpGdQtAgdz/0Fq2lgUlGShff1L0KvpfZJGVtZL0CFglpe8RtjNmjVDfHw8LrroItDaphuEkSM8iOzSpYsicHGJBN36soTC+3P+xtz021BYko1OiaPQo8ldLqORLKGsKCEIVIKAZQg7Pz8fzz33nCofduedd6o/jLteu3Yt1qxZowj8tdde89vLNAuM3xSVgSpFYN+xNZiXfgeKSnPQtcH1OLXxWCFrWTNBi4BZXvKaha0huGfPHjzyyCNYvnw5Jk+ejBEjRgQEXLPABERpGbQCAnuy/8D8zXehuDQP3RuNRrdGNwlCgkBQI2CWl7xO2BqatKjvuuv4p+tHH32ERo38mzjeLDBBvSpsoPzOo79g4eZ7UVJWgNMb34EuDa+xwaxkCqGOgFle8iphb9u2DX///Xf5H7pD0tPTsWjRIpxxxhl+fVdmgfGrsjJYBQS2Z/2kig+wvNcZTe9Bx8QrBCFBwBYImOUlrxF2jRo1UL16dXXAyD+88di1a1d1aSYiwv+hV2aBscXqCMJJbD2ySBUZZs3KM5s9hPb1RwbhLERlQcA1AmZ5yWuETVKuVatWhZA+Roa4yy/i6xdqFhhf6yf9n4hA+uF5+HHbeFUNvk+L8Tip7nC/w/Rf6trZDqlrLw7p1LV+fwk2HtAsL3mNsN1dTWeOEc3aligRG69Ek1P799C3WLr9CYQhHP1aTkRSnaEmezT+uBSHMI6ZPGEMAcsQtiu15Wq6sZcZqq03HvwSP+94GmGIwIBWz6B17bMDAoWUXwsI7CE1qKUJO5BvwiwwgdQ9lMb+e/8n+HXXFJW86exWz6FFrT4Bm/63m65DRs46AGUudJACxwF7MTYa2CwvGXKJ0GK+77770KdPH1x44YXlMPKwZdMAACAASURBVObk5KhbjlYSs8BYaS521WVtxgf4bfcriAiLwTmtn0ezmr0COtVZ64aopFLuJC4qEaM6zQ2ojjJ4cCNglpcMEfZ7772HG264AQsWLMDAgQMVcocOHUKDBg2QlJSkokK0HCLdu3dXuUUCJWaBCZTeoTLuqr1vYeXeGYgMr4ZBbV5Ck4TTAz51sbAD/gpsr4BZXjJE2Oeddx4yMzOxbNmycmBJ2PXr11cXY/bv369yXlOphg0bYuvWrYiODkxSebPA2H7lBGiCzI/+594ZWLPvbUSFx2NI0itoWP2UAGlTcVjxYVviNdhaCbO8ZIiwmzRpgrFjx6qr55pohP3DDz+gV69e6tLMb7/9httvv13dcLzssssC8gLMAhMQpW0+KMn6992vYO3+DxEdUR1Dk6YhMb6TZWYtUSKWeRW2VcQsLxki7JiYGJXc6dprr3VJ2AMGDCj/+379+imr++OPPw4I+GaBCYjSNh6UZPjLruex4cCniImoiZTk6agXd7LlZvxfHPbnDnHYIyUO23JvKjgVMstLhgibF2MmTpyIcePGlaNVWFiIF198UR1COua+njBhgrKw//3334AgaxaYgCht00FJgj/veAb/HPoK1SJrY1jyDNSJTbbpbGVagoB7BMzykiHC7tmzp6oq8/nnn1f5Tt566y2VYvXYsWNVtvVFA7PA+EKnUOyztKwEP22fiLTDcxAXVQ8pSTNRO7ZVKEIhcxYE1PkeXYOeiiHCnjRpkrKw//zzT3Ts2LHSMadMmYLHH38cvAEZCDELTCB0ttuYTN7047bHsfnIfMRHNcCw5JmoWa253aYp8xEEdCNglpcMEXZWVhZOPvlkFXO9cOFCtGzZ0q2i559/PjZt2qSqzgRCzAITCJ3tNGZJaREWb30I27KWoHp0Y0XWNWKa2GmKMhdBwDACZnnJEGFTuxUrVmDo0KHKrH/sscdUXDZ9245Cd8gtt9yCe+65R1WhCYSYBSYQOttlzOLSApUedefRn1Ejppki6+rRDe0yPZmHIOAxAmZ5yTBhU9NVq1bhqquuwsaNG1WcNS/LtG7dWsVgr1u3TlnV9HWzXaAuz5gFxuM3EuIPsjrMgs33Ynf2CtSq1kodMMZF1Q9xVGT6gsBxBMzykkeEzYGLi4vxxhtv4IMPPsDvv/9e/j6YZnXYsGGYOnUqWJg3UGIWmEDpHczjFpXkYv7mO7H32ErUqZaElOQZiI2qE8xTEt0FAa8iYJaXPCZsx1kwl8jOnTvBEL9WrVohISHBq5P0pDOzwHgyZig/w4rm89LHISPnL9SLbYehydNRLbKiqyyU8ZG5CwIBtbCrgv+nn34Cc4+88847VTX1yb8LYfsEVpedFhQfxdz023Agdz0S4zpiSNI0xEQGftP2HwIykiCgDwGzvOQVC1tTlTUd6SLhH+YRodCvHQgxC0wgdA7GMfOLjyA17VYcytukcoIMbvMKoiOslbkxGHEVne2JgFleMk3YdIfwIg2taSaFKi0tRfPmzZGYmIiVK1cKYdtz3alZ5RYdQmraGBzJ34zGCadhUOuXEBURa+MZy9QEAXMIBIywf/zxR0XSX3zxBUjaDO0bOXIkrrzySpUve/LkyXj44YeFsM29X8s+nVO4H3PSRiOrYDua1uiFc1pPUalSRQQBQcA9An4l7C1btuD9999XLo8dO3YgKioKKSkpiqTPPffcCqlUhbDtu2yzC/ZiTtotyC7cjRY1+2Jgq2cRER6YNLr2RVlmZkcE/ErY4eHh4J/evXtj1KhRuPjii0+4NKOB7Clh79q1S1224fX3NWvWIC8vT8V7t2vXztD7MwuMocFCqPHRgp3Ksj5WuA+tag1E/5ZPIyI8KoQQkKkKAp4jYJaXDPmwSda8KMObjiTs4cOHuy1Q4Clh09Vy6aWXghVreJty3rx5QUHY/6XlnO2QlvNiW6XlzMzfpnzWOUX71bxY3Tw8LNLz1StPCgIhhoBfCXvt2rUqTI85rg8ePIgaNWrgoosuUi4R5r92FE8Jm4eW3Bgo9JFfd911lifsUEh8fzhvsyLrvOJDaFt3OM5q/ijCwyJC7Ocm0xUEzCHgV8LWVOUtxzlz5ihCTU1NVbceGzdujCuuuEJZ3p07d/bKoWOwELbdS0sdyv0XqeljkF+ciZPrXYQzmz2IsLDjm6qIICAI6EcgIITtqB5LhM2aNUuRN33OVIgZ/erUqYPly5ebihIJFsK2c/HWAzkbMDf9VhSUHEXH+pejZ9N71DsWEQQEAeMIBJywHVVmPcd3331XVZrJyMhQP2wzF2eChbBnrRuC3KIDbt9eXFQiRnWaa/ztBviJjGNr1Q3GotIcdGlwDU5rfLuQdYDfiQwf3AhYirAdXSY8LGT432effeYxwkYImyXJWFzBUcxUdjCitB0t7L3ZKzFv8zgw+163hjejW6ObhayNLAppKwi4QMBShO3tq+lGCNsZG7PAGFltdvNh7z76G+ZvvgslZQU4rfGt6NrweiNwSFtBQBBwg4BZXjIU1udKB19eTQ8WwrZTlMiOrJ/xw5b7UFJWiJ5N7kanBqPkxycICAJeQiBghO2Pq+nBQth8l//FYX/uEIc9MqjisLdlLsGirQ+itKwYZzZ7AO3rX+KlZSrdCAKCABHwK2H762q6VpWdm8L06dPxyiuvqLBB1pLkpR09YhYYPWPYqc3mwwuwZNujKEOpirFuV+8CO01P5iIIWAIBs7xkyCXij6vp2i7kCt0WLVqAfnI9YhYYPWPYpU3aoTlYun2Cmk7fFhORXDfFLlOTeQgClkLALC8ZJmxfX033FrpmgfGWHlbv55+DX2HZjqcRhnD0b/UU2tQeZHWVRT9BIGgRMMtLhgjbH1fTvfUmzALjLT2s3M/6A5/hl52TVT4QZtxrWau/ldUV3QSBoEfALC8ZImwNLX9dTTfzdswCY2bsYHh2XcYsrNj9IiLConF26yloXrN3MKgtOgoCQY2AWV7yiLAdEfPl1XQzb8YsMEbHDqZsfWv2vYM/9kxHRFgMBrd5CU1q9DA6XWkvCAgCHiBglpdME7ajzt6+mu4BHuWPmAXGyNjBEofNm5+r9r6OVfveRFR4nKq/2Cihm5GpSltBQBAwgYBZXvIqYWvzYP4QZvHj1fTZs2ebmJ7nj5oFxsjIwXDTkWT9x56p+CvjfUSFx2No0jQ0qN7ZyDSlrSAgCJhEwCwv+YSwTc7JK4+bBcaIElbPJUKyXrHrBfx94GPERNTA0KTpqB/f3sgUpa0gIAh4AQGzvCSE7YWXYOVsfXTXLN/5LDYe/ALVImshJWkG6sa19cKspQtBQBAwioAQthvEzAJj5EVY1cIuLSvBsh1P4d9D3yI2si6GJc9E7djWRqYmbQUBQcCLCJjlJbGwvfAyrOjDZj6QH7c9js1H5iE+KhEpyTNRq1oLL8xWuhAEBAFPERDCtoCFbbUokZLSIizZ9gi2Zi5C9ehGyrKuEdPU0zUmzwkCgoCXEBDCtgBhUwWrZOsrKS3ED1sfwI6snxRJk6xJ2iKCgCAQeASEsC1C2IFfCkBxaT4WbrkXu47+ipoxLTAs+XXER9e3gmqigyAgCPg7vWowIW52JwumuVLXopI8LNhyF/Zk/4Ha1dogJXkG4qLqBts0RF9BwNYImOUlOXS0wfIoLDmGeenjkJGzBnVjT0JK8nRUi6xtg5nJFAQBeyEghB3iLpGC4mzMS78N+3P/Rv24DuoGY0xkDXutcpmNIGATBISwQ5iw84szMTftVhzM+wcN4rtgSNKriI6obpOlLdMQBOyHgBB2iBJ2XtFhpKaNweH8dDSq3h2D27yMqIg4+61wmZEgYCMEhLBDkLBzCg8gNW00Mgu2oUlCTwxq8zwiw2NttKxlKoKAPREQwg4xwj5WuA9z0kbjaMFONK9xFga2nozI8Bh7rm6ZlSBgMwSEsEOIsI8W7FZkfaxwD1rWGoABLZ9BRHiUzZa0TEcQsC8CQtghQthZ+TsUWecUZaBN7cHo1/IJVYtRRBAQBIIHASHsICFsMyXEjuRtUWSdV3wIbeuch7NaPIbwsIjgWaWiqSAgCCgEhLCDgLDNJIc6lJuG1PQxyC8+gnb1LkTvZg8hLCxclr8gIAgEIQJC2EFA2J6mXz2YuxGpabeioCQLHepfijOa3qd2aBFBQBAITgSEsIOAsD0pcLA/Zx3mpt8GXjvvnHgVTm8yTsg6OH+jorUgUI6AELYPCbsyvzOHZXGADQdmI7twLxKiG6F9/YvRpvaQE1wWRkuI7T22GvPT70BRaS5OaXgDujcaI2QtP3pBwAYICGH7iLCr8juzsO32rB9RhlJmw+ZxAsIQjpa1+mNgq0kVSNuIhb07+3cs2HyXSpVKou7W6EYbLFOZgiAgCMihYyVrwOxOVpnfGeChH0mafypKGCLQr+UEJNVJKf8HvT7snVm/qHzWJWUF6NFkHDo3uFpWuSAgCNgIAbO8JOlV3SyGyq3iylZQGBrEd8bwk94pb1SVtU6LfEfWMlUpprSsCL2a3o8OiZfaaJnKVAQBQUAsbB9a2FX5nStbfnFRiRjVaW6FJpWVENuauRiLtz6s3Cu9mz+Mk+tdKKtbEBAEbIiAWNg+8mF708KubN0dd5c8rpr0aTEebeueZ8NlKlMSBAQBsbB9aGF704ftTs1NB7/BTzueVIeV/Vs+iTZ1BsuqFgQEARsjIBa2jyzsqvzORqJEXKm44cDnWL5zksoHMqDVJLSqNcDGy1SmJggIAmJh+9DCZteV+Z3578fjsD93iMMe6TIO21nNdfs/wopdLyAiLBpnt34OzWueJatZEBAEQgABsbB9ZGH7au2s2fce/tgzFRFhMRjU5gU0rXGGr4aSfgUBQcBiCAhhBwlh04Wyet+bWLn3dVUdhiW9GiecarHlJOoIAoKALxEQwg4CwiZZ/7nnNazJeAdR4fGqWG7D6l19uS6kb0FAELAgAkLYFidskvVvu1/Cuv2zEB2RgKFJ05AY39GCS0lUEgQEAV8jIIRtYcLmoeUvO5/DhoOzERNREynJr6FeXDtfrwnpXxAQBCyKgBC2RQm7tKwEP+94BpsOfY3YyDpISZ6BOrFJFl1GopYgIAj4AwEhbAsSdmlZMZZufwLph+cgLqo+hiXPQK1qrfyxHmQMQUAQsDACQtgWI2wmb1qy9TFsyVyI6tENMSx5JmrENLPwEhLVBAFBwF8ICGFbiLBLSguxaOuD2J61FAnRTTAs+XUkxDTy11qQcQQBQcDiCAhhW4SwWXDghy33Y+fR5agZ00L5rKtHN7D48hH1BAFBwJ8ICGFbgLCLSvKwcMs92J39G2pVa6181nFR9fy5DmQsQUAQCAIEhLADTNiFJTmYv/lO7Du2CnVi2yIl6TXERtUOgqUjKgoCgoC/ERDCDiBhF5ZkY276Hdifsxb14tqrSzHVImv6ew3IeIKAIBAkCAhhB4iw84uzMDf9NhzM3YDE+M4YmvSquskoIggIAoKAOwSEsANA2HlFR5CaPhaH8/5Fw+rdVCKn6Ih4WaWCgCAgCFSKgBC2nwk7t+gg5qSNQWb+FjRJ6KFSpDL7noggIAgIAlUhIITtR8I+VpiB1LQxyCrYjmY1zsTZracgMjymqnck/y4ICAKCgEJACNtPhJ1dsAdz0kYju3A3WtTsh4GtJiEiPFqWoSAgCAgCuhEQwvYDYWfl70Rq+mgcK9yH1rXOQf9WTyI8LEr3S5KGgoAgIAiIhV3JGjC7k2ldZ+ZvVT7r3KIDSKozDH1bjFeFc0UEAUFAEDCKgFleCmMHdK2UMdO+jcQsMITicF668lnnFR/GSXUvQO/mDyM8LMJGKMlUBAFBwJ8ImOUlSxJ2ZmYmHnjgAXz11Vc4duwYTjnlFEyaNAl9+vTRja1ZYA7m/oPUtLEoKMlC+/qXoFfT+xAWFq57fGkoCAgCgoAzAmZ5yXKETUO/b9++2LRpE6ZMmYLGjRtj6tSpmD9/PpYvX47u3bvrWgVmgNmf87e6FMObjJ0SR6FHk7vU6a6IICAICAJmEDDDS//vA7eWS+Sbb77BBRdcgNTUVAwdOlRhU1hYiA4dOiA5OVn9vR7xFJh9x9ZgXvodKCrNQdcG1+PUxmOFrPUALm0EAUGgSgQ85SWtY8tZ2DfccAO+++477N+/v8LkH3vsMUyePBl0l8TFxfkEmD3Zf6pETsWleejeaDS6NbqpynGkgSAgCAgCehGwHWH37NlTEfLixYsrYPDpp5/isssuw5o1a9ClS5cq8TEKzK6jv2LB5ntQUlaA0xvfgS4Nr6lyDGkgCAgCgoARBIzyknPflrOw27Zti86dO+Pzzz+voOvChQsxaNAgReT9+/evEiMjwGzP+kkVH2B5rzOa3oOOiVdU2b80EAQEAUHAKAJGeMlV35YjbPqpu3btitmzZxsi7AkTJmDixIkVntEbqbh02wT8e/g7nNnsIbSvP9LoO5D2goAgIAjoQsB2hB0IlwirnO/NXoUmNU7XBbo0EgQEAUHAEwRsR9g8dPz++++RkZFRAY/x48fj2WefRVZWFmJjq86OZxYYT16GPCMICAKCQGUImOUly7lEvv32W5x//vmYN28eBg8erOZeVFRUHtY3Z84cXSvCLDC6BpFGgoAgIAgYQMAsL1mOsLWLM2lpaXjuuefQqFEjTJs2TRG4vy7OGMBfmgoCgoAgoBsB2xE2Z65dTf/yyy/Lr6bTHeLPq+m634A0FAQEAUFAJwK2JGydc6+0mVlgvKGD9CEICAKCgCMCZnnJci4Rb71es8B4Sw/pRxAQBAQBDQGzvCSELWtJEBAEBAE/ISCE7QZos8D46f3JMIKAIBBCCJjlJbGwQ2ixyFQFAUEgsAgIYYuFHdgVKKMLAoKAbgSEsIWwdS8WaSgICAKBRUAIuxLCDuyrkdEFAUFAEDgRAb1J6VxhZ1sfttGFYnbnMzpeMLUXbFy/LcHF/SoWbHyzZoSw/x9XWWDy4zO6icqakTXj7zUjhC2EXeWaE2LyjbVUJfBB3EDWjG/WjBD2/+PKAgj8I3IiAoKN61UhuLj/tQg2vlkzQtjC0IKAICAIBAkCQthB8qJETUFAEBAEhLBlDQgCgoAgECQIhDRha3m3v/rqq/K825MmTTKUdztI3rMhNXft2qWKR/z5559Ys2YN8vLysHHjRrRr185QP3Zr/MUXX+DTTz/FH3/8gX379qFx48YYMmQIHn/8cSQmJtptuobm88MPP4C/nQ0bNuDw4cOoU6cOTj31VDz66KPo0aOHob7s3vj666/Hu+++i0svvRSffPKJoemGLGFrlW02bdqEKVOmqB/f1KlTMX/+fEOVbQyhHSSNf/zxR7WYunfvDuLEaj9C2AALRHOdjBgxAs2bNwfXDg/XqlWrhr/++gsJCQlB8oa9ryY3st9++w1nnHGG2ry4ob300ktYtWoVli1bJqT9/5Dzt3XuueciIiICQ4cOFcLWuxS/+eYbXHDBBUhNTVXAUQoLC8trR/LvQ1VKS0sRHh6upv/ee+/huuuuE8IGcODAAdSvX7/Csli6dCn69euHN954AzfddFOoLhmX8z569Cjq1asHFtaeMWNGyGNTUFCAzp07gxY28aABIBa2zmXBRfTdd99h//79FZ547LHHMHnyZFWmLC4uTmdv9m0mhF35u83NzUV8fDzGjx+PiRMn2ncheDAzfp3VqlUL11xzDV599VUPerDXI3QPff3111i9ejWSk5OFsI28Xu5uJOTFixdXeIyfdpdddpny3Xbp0sVIl7ZsK4Rd+Wvll9iwYcPw8ccfq3UT6lJSUgJ+oe3du1edg3zwwQf45Zdf0LFjx5CGZv369crFSF9/79690bJlSyFsIyuibdu26vPk888/r/DYwoULMWjQIEXk/fv3N9KlLdsKYbt/rfzkP+2008BbfWvXrkV0dLQt14CRSZGMli9frh5p0KCB+n3x70JZ+KVx5pln4uSTT8bbb7+toBDCNrgi+EnStWtXzJ49Wwi7EuyEsF2Dw/OO8847DytWrFCHatz8RaAOYrOysrB792689dZb+Omnn5TrkX7+UJXp06erw+l//vkHdevWFcL2ZCGIS0QfakLYJ+JUXFyMSy65REXP8E+fPn30gRliregaYdQID9voYgxFOXjwINq0aYMnnnhC+fI14QbPrzNa3DwDiYqK0gVPyIb18dDx+++/R0ZGRgWgeHj07LPPKishNjZWF4h2biSEXfHt0kd75ZVX4ssvvwQjjRiHLeIegVtvvRXvvPOOiuUPReFGdcopp1Q6dSPnHyFL2N9++y3OP/98ZSENHjxYAVpUVFQe1jdnzpxQXF8nzFkI+z9IaDEyxPGjjz7CZ599puKxRdwjwC8RXp7hJrdu3bqQhOrYsWPqApqz8IC6ffv2KrqI/6v34lXIErZ2cSYtLU2dZjdq1AjTpk1TBM5DE57ohrJoh7EM9KcP7pVXXlGXRvj5psWthxo+tBZfe+013HnnnepikaMwPpufvqEqvNPAMyFGVvGW486dO/Hmm2/i559/Vl8jNI5E/kNADh09WA3a1XQuKO6E/HShO0R8klCRD66kRYsW2LZtmwdoB/8j/JFt377d5UTon+TXSKgK7y5wk9+8eTOys7MVadN/fe+994Z8lIirNSGEHaq/FJm3ICAIhAwCIesSCZk3LBMVBAQB2yAghG2bVykTEQQEAbsjIIRt9zcs8xMEBAHbICCEbZtXKRMRBAQBuyMghG33NyzzEwQEAdsgIIRtm1cpExEEBAG7IyCEbfc3LPMTBAQB2yAghG2bVykTEQQEAbsjIIRt9zcs89OFAJPsn3XWWSrnBXM7ULQ8KkuWLPFretBAjasHKFe6saDs3XffrW458oajiO8QEML2HbZB0TOLxzIHBIV5VZKSktzqbaQtO+HVf9auY1kk5gJmxjbW+OvWrRsuuugijBo1yjJJ/3v16qUK6zrW2AsUcVY1LjMEMrESq5f4W1zpRl1OOukkVSP1hRde8LdKITWeEHZIve4TJ8tERkxoxB/dI488gieffNItIkbaMrH/hRdeCOYDZpVoWq81a9ZUie2ZYIsW7e23326JWn+0oAcMGKASFbEyiCZVEaevlk5l4zLnDTc9Jiy74447fKWC237d6UZ9Hn/8cVUajHUcRXyDgBC2b3ANil6ZTrZJkyYqSc+RI0dUYiMmdnKV+MlI21WrVikC5OfxV1995bI2JkuxMef4yJEjA44VU11yg9m6dWuFuVuRsJlg6eKLL1a6MoGQv8UdJjt27FD6sNjubbfd5m+1QmY8IeyQedUnTpQJ+PkZy8LDdF/ccsstWLRokSJbZ9HblsROFwvTa7I6tNVTjlJfWoRXXXUVZs6cWWHarsiJObHHjh2rUofyy4SYUVg9nVYmsSSZVq9eXZUNe+ihh3DOOeeoNvv27VNt6MrgxsivGhanveeeeyqka61so6CerB9J9xRFa8sNkKlw6U/mu2QdRepIN8/UqVNVetxdu3apzfONN944YROlbqzqzTzwhw8fRrNmzZTLil9djrUqK9OtQ4cOYJpZ6iHiGwSEsH2Da1D0ygT8LDbMqjv0Lzds2FARBytdO4vetiQx5o1mus3777/f8jjQsuYXBusPsgqRoziTE+s4stoMN68PP/xQlQmj5Ofnq4LNmhuI9QvZ9rfffkOrVq0UFhQS9ejRo1XhA25kTEP6v//9TxEw+2PfjiTsfNjJQgBMdM8NQ3NdaTryXKBatWrq/dEtQV8yNwxa4++//z6uv/56pRPTB9OlwvOKiIgINR6/rvg8CZ36sVgs18UXX3yh3Fks9qF9dVVG2ByD1VP45SQFiX2z9IWwfYOr5Xulb5kFCWhF0SqjkEgWLFigLMGEhITyORhpy1qZdImwD8eIAdb1I0E5Cv89PDw8oFixfBWJmgRF0nVH2KycQnx+/fVXlZB/0KBB5U2feeYZZYmSJBkt4SgslKGRHTdFkqqjy4m4aIe+GzdurJSwly5dqqJV/vjjD1XJxZHciTt98BoJP/DAA8qap8uL/Wrvk18RY8aMQWpqankhCq0tNw+uB014xsCiHjw01goQVEbYTz/9tLLSOV67du0C+l7tOrgQtl3fbBXzoq9x3LhxyuobOHCgak2Lij5lkhhLYWmity0PxEgMp59+urIuHWXSpEl4+OGHy/+KpEVLzHFjCMSrIKmRsOi+0YhT00MjJ/qN2S49PV0RXY8ePSqoSkv20KFDoB9XI8yq5kKrPCcnByT0xx57TLljjh49qvBwR4rcDOhyoSXsbPGymCstXE1Istxg7rvvPqW7JlqNQb5TEjKFFjU3E2cf/p49exThcy1wTThuEK5CHbXNgJXSecgs4n0EhLC9j2lQ9MhPYLpC6GvWrFxae3SLkIBozWmity0tK8Yw8xCPn8aOwrA+Eg3l6quvVj7ef//9t7wJyatGjRonFD4mCZFcfCUaYfOrwLlYqkacJFH6qFmbz5nUqReLNbNK0fz58ytVk/5yujLocnJVuYZ/R5+zO8JOTk5Wm6ujr11r67jxUgn6kfnFQAuZLipN6Dunm2bChAkqqoNCq59t586de4L+9O8TFxJ0VYStucOWLVsmVWZ8tGCFsH0ErJW75eUQkjIPu55//vkKqt50002gtUZrsnXr1uoiid62Wpw2/aYsUutKaMmRABny59iGYX5nn322KtXmTzcJ3UHcFJwJz5Gc+O8kRu2ANjIyssLU9BK2VhOSvmrGUtOXTIucOrCwrxb54YqwN2zYoApEO7oyKiNQjbAZB0+/tDNhk6xJ2noImxs2XUZVEbbmEuHmzLhsEe8jIITtfUwt3yOJ+sUXX1S+ZmerUvOTaj9oI235SU+/NC1BzR/rDAb9r3SZ0O/LCApNaAlyo6BrwpXQR0w3i3ZZ5OWXX1YHhfTb0gqk24J9durUSUW68ICNh32Orh1X/bJP+n9ptWoRH1o7Q97aFgAABIZJREFUR+KkZUpfNzcafj04kjY3NEZW0EKuzCVSu3ZtFZ3hHEVxxRVXqD4rI2y6lDg/nifExMSUT8WdNW6EsOkSoYtmy5YtFfzrPLzkOYdel8i1116rNmFGqciho29oQAjbN7hatleGkjVt2lQRK602Z6FPlfG0JJ5Nmzap8C49bXktmX5VHk4xqoChY7TWnYUV2Bmny89vWpmakAxJGrNmzXKJHf3dtPgZ171//371dcDq9pwLZfz48SoCguOSAEkcN998s3L7VOYn18L66MbhhuEozmRIP+6NN96oIi9oEWvkrFmWL730kqqo7iiOh460qGklO7qbGK1BwufcKyNsRrKQPHnOUJmO2r8ZIWzt0JGbBnHQhGccdEfpPXTk3Bo0aFBujVv2RxDEiglhB/HL80T17777DsOHD1c3+hiy5UpICvTXknj1ttUOoXjwxr7prz7vvPOUL5OWJf+bJMIDKf6o6WphzK4m/OymVe5oPTISw9FtQn8zQ9RozdLSJkFoQncFNxfGHFNIlPTNrly5UsU6VyaXX365In9ayI4RHK6sV5I6NyKGzzGqgqRNsqUPm18PPLTl/2cI3u+//6580txIKHyOXwXcUBjtwfHo9+UGyS8Ld4TNTYdkTdcJ/f/eJmzi2b17d3ULlREkdGfwXc2ePRvDhg0D10xVYX3axRni7+gz92SNyjPuERDCDrHVQUJxttLcQcB8H3rbXnPNNcrPSzlw4IByR5Dw+UOmT5qEQ1LgBsB+Saaa0H1BK5iHdiQyd0KS5iUUukNo/TkKrW+SuRadwM9ybhQML+QGUZloV9NJUn379i1v6s7dwAspdJ+Q6HmASNLmoSldFtxgSMS8hk/3x4MPPqh88xT65+kGYlggSZKhb/x3blQTJ050S9gkefqhSdx169b1OmGzQ7o/nC/O0NfOyB49LhhupvSJM7JErqb7jlSEsH2HrfSsEwFalyRzkiwjRVwJD7J4A5NfBfQ78xntcJJEyOfowqH/nEKSo3uEVq4eYfInhrDRqrSacJMjNvw6saJI8if/vRUhbP9hLSO5QYC+YVpoJGVXQuuPhMqDN34h0DKlNafdDGSECd0QjGemlUj3Bl0W9DM7X4Zx9xL4DPvgrUNHV4sVXhqx4YamxctbQSdHHSS9qv/eiBC2/7CWkdwgwAscDD9zdJOwKS1p+oDp5iA533vvvaoHXuNmFAst6qioKBXhQeuTfmOGvdEnTJIbOnSoYC4I2AoBIWxbvc7QnAxza5DY6Q8WEQTsjIAQtp3fbojMjZEoTDRFX6+IIGBnBISw7fx2Q2RujEpgGGJl1XJCBAqZps0REMK2+QuW6QkCgoB9EBDCts+7lJkIAoKAzREQwrb5C5bpCQKCgH0QEMK2z7uUmQgCgoDNERDCtvkLlukJAoKAfRAQwrbPu5SZCAKCgM0REMK2+QuW6QkCgoB9EBDCts+7lJkIAoKAzREQwrb5C5bpCQKCgH0QEMK2z7uUmQgCgoDNESgnbJvPU6YnCAgCgoBtEAizzUxkIoKAICAI2ByB/wMZ/PzT0D2w8AAAAABJRU5ErkJggg==\" width=\"404.4444551585636\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(4.5,4.5))\n",
    "\n",
    "plt.scatter(test_y,test_p,c='yellowgreen')\n",
    "plt.text(0,3.6,'$R^2$: %.3f'%r2_score(test_y,test_p),fontsize=14)\n",
    "plt.text(0,3.25,'Pearson R: %.3f'%pearsonr(test_y,test_p)[0],fontsize=14)\n",
    "plt.text(0,2.9,'MAE: %.3f kcal/mol'%mean_absolute_error(test_y,test_p),fontsize=14)\n",
    "plt.plot([0,ddG.max()],[0,ddG.max()],c='yellowgreen')\n",
    "plt.xlabel('$\\Delta$$\\Delta$$G_E$$_x$$_p$ (kcal/mol)',fontsize=14)\n",
    "plt.ylabel('$\\Delta$$\\Delta$$G_M$$_L$ (kcal/mol)',fontsize=14)\n",
    "plt.xticks([0,1,2,3,4],list(map(str,[0,1,2,3,4])),fontsize=13)\n",
    "plt.yticks([0,1,2,3,4],list(map(str,[0,1,2,3,4])),fontsize=13)\n",
    "plt.tick_params(bottom='on',left='on')\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "54494d4e",
   "metadata": {},
   "source": [
    "### Feature Ranking"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "7ca70f52",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2022-11-21T07:49:49.881831Z",
     "start_time": "2022-11-21T07:49:49.878820Z"
    }
   },
   "outputs": [],
   "source": [
    "desc_importance_colors = []\n",
    "for name in importance_desc_names:\n",
    "    if 'Imine' in name:\n",
    "        desc_importance_colors.append('lightgreen')\n",
    "    elif \"Olefin\" in name:\n",
    "        desc_importance_colors.append(\"bisque\")\n",
    "    elif \"TDG\" in name:\n",
    "        desc_importance_colors.append('lightblue')\n",
    "    else:\n",
    "        desc_importance_colors.append('lightgray')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "f7eb9d2c",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2022-11-21T07:49:50.066175Z",
     "start_time": "2022-11-21T07:49:49.910634Z"
    },
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "/* global mpl */\n",
       "window.mpl = {};\n",
       "\n",
       "mpl.get_websocket_type = function () {\n",
       "    if (typeof WebSocket !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof MozWebSocket !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert(\n",
       "            'Your browser does not have WebSocket support. ' +\n",
       "                'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "                'Firefox 4 and 5 are also supported but you ' +\n",
       "                'have to enable WebSockets in about:config.'\n",
       "        );\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure = function (figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = this.ws.binaryType !== undefined;\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById('mpl-warnings');\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent =\n",
       "                'This browser does not support binary websocket messages. ' +\n",
       "                'Performance may be slow.';\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = document.createElement('div');\n",
       "    this.root.setAttribute('style', 'display: inline-block');\n",
       "    this._root_extra_style(this.root);\n",
       "\n",
       "    parent_element.appendChild(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen = function () {\n",
       "        fig.send_message('supports_binary', { value: fig.supports_binary });\n",
       "        fig.send_message('send_image_mode', {});\n",
       "        if (fig.ratio !== 1) {\n",
       "            fig.send_message('set_dpi_ratio', { dpi_ratio: fig.ratio });\n",
       "        }\n",
       "        fig.send_message('refresh', {});\n",
       "    };\n",
       "\n",
       "    this.imageObj.onload = function () {\n",
       "        if (fig.image_mode === 'full') {\n",
       "            // Full images could contain transparency (where diff images\n",
       "            // almost always do), so we need to clear the canvas so that\n",
       "            // there is no ghosting.\n",
       "            fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "        }\n",
       "        fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "    };\n",
       "\n",
       "    this.imageObj.onunload = function () {\n",
       "        fig.ws.close();\n",
       "    };\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_header = function () {\n",
       "    var titlebar = document.createElement('div');\n",
       "    titlebar.classList =\n",
       "        'ui-dialog-titlebar ui-widget-header ui-corner-all ui-helper-clearfix';\n",
       "    var titletext = document.createElement('div');\n",
       "    titletext.classList = 'ui-dialog-title';\n",
       "    titletext.setAttribute(\n",
       "        'style',\n",
       "        'width: 100%; text-align: center; padding: 3px;'\n",
       "    );\n",
       "    titlebar.appendChild(titletext);\n",
       "    this.root.appendChild(titlebar);\n",
       "    this.header = titletext;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = (this.canvas_div = document.createElement('div'));\n",
       "    canvas_div.setAttribute(\n",
       "        'style',\n",
       "        'border: 1px solid #ddd;' +\n",
       "            'box-sizing: content-box;' +\n",
       "            'clear: both;' +\n",
       "            'min-height: 1px;' +\n",
       "            'min-width: 1px;' +\n",
       "            'outline: 0;' +\n",
       "            'overflow: hidden;' +\n",
       "            'position: relative;' +\n",
       "            'resize: both;'\n",
       "    );\n",
       "\n",
       "    function on_keyboard_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.key_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    canvas_div.addEventListener(\n",
       "        'keydown',\n",
       "        on_keyboard_event_closure('key_press')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'keyup',\n",
       "        on_keyboard_event_closure('key_release')\n",
       "    );\n",
       "\n",
       "    this._canvas_extra_style(canvas_div);\n",
       "    this.root.appendChild(canvas_div);\n",
       "\n",
       "    var canvas = (this.canvas = document.createElement('canvas'));\n",
       "    canvas.classList.add('mpl-canvas');\n",
       "    canvas.setAttribute('style', 'box-sizing: content-box;');\n",
       "\n",
       "    this.context = canvas.getContext('2d');\n",
       "\n",
       "    var backingStore =\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        this.context.webkitBackingStorePixelRatio ||\n",
       "        this.context.mozBackingStorePixelRatio ||\n",
       "        this.context.msBackingStorePixelRatio ||\n",
       "        this.context.oBackingStorePixelRatio ||\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        1;\n",
       "\n",
       "    this.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband_canvas = (this.rubberband_canvas = document.createElement(\n",
       "        'canvas'\n",
       "    ));\n",
       "    rubberband_canvas.setAttribute(\n",
       "        'style',\n",
       "        'box-sizing: content-box; position: absolute; left: 0; top: 0; z-index: 1;'\n",
       "    );\n",
       "\n",
       "    // Apply a ponyfill if ResizeObserver is not implemented by browser.\n",
       "    if (this.ResizeObserver === undefined) {\n",
       "        if (window.ResizeObserver !== undefined) {\n",
       "            this.ResizeObserver = window.ResizeObserver;\n",
       "        } else {\n",
       "            var obs = _JSXTOOLS_RESIZE_OBSERVER({});\n",
       "            this.ResizeObserver = obs.ResizeObserver;\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.resizeObserverInstance = new this.ResizeObserver(function (entries) {\n",
       "        var nentries = entries.length;\n",
       "        for (var i = 0; i < nentries; i++) {\n",
       "            var entry = entries[i];\n",
       "            var width, height;\n",
       "            if (entry.contentBoxSize) {\n",
       "                if (entry.contentBoxSize instanceof Array) {\n",
       "                    // Chrome 84 implements new version of spec.\n",
       "                    width = entry.contentBoxSize[0].inlineSize;\n",
       "                    height = entry.contentBoxSize[0].blockSize;\n",
       "                } else {\n",
       "                    // Firefox implements old version of spec.\n",
       "                    width = entry.contentBoxSize.inlineSize;\n",
       "                    height = entry.contentBoxSize.blockSize;\n",
       "                }\n",
       "            } else {\n",
       "                // Chrome <84 implements even older version of spec.\n",
       "                width = entry.contentRect.width;\n",
       "                height = entry.contentRect.height;\n",
       "            }\n",
       "\n",
       "            // Keep the size of the canvas and rubber band canvas in sync with\n",
       "            // the canvas container.\n",
       "            if (entry.devicePixelContentBoxSize) {\n",
       "                // Chrome 84 implements new version of spec.\n",
       "                canvas.setAttribute(\n",
       "                    'width',\n",
       "                    entry.devicePixelContentBoxSize[0].inlineSize\n",
       "                );\n",
       "                canvas.setAttribute(\n",
       "                    'height',\n",
       "                    entry.devicePixelContentBoxSize[0].blockSize\n",
       "                );\n",
       "            } else {\n",
       "                canvas.setAttribute('width', width * fig.ratio);\n",
       "                canvas.setAttribute('height', height * fig.ratio);\n",
       "            }\n",
       "            canvas.setAttribute(\n",
       "                'style',\n",
       "                'width: ' + width + 'px; height: ' + height + 'px;'\n",
       "            );\n",
       "\n",
       "            rubberband_canvas.setAttribute('width', width);\n",
       "            rubberband_canvas.setAttribute('height', height);\n",
       "\n",
       "            // And update the size in Python. We ignore the initial 0/0 size\n",
       "            // that occurs as the element is placed into the DOM, which should\n",
       "            // otherwise not happen due to the minimum size styling.\n",
       "            if (fig.ws.readyState == 1 && width != 0 && height != 0) {\n",
       "                fig.request_resize(width, height);\n",
       "            }\n",
       "        }\n",
       "    });\n",
       "    this.resizeObserverInstance.observe(canvas_div);\n",
       "\n",
       "    function on_mouse_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.mouse_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousedown',\n",
       "        on_mouse_event_closure('button_press')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseup',\n",
       "        on_mouse_event_closure('button_release')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'dblclick',\n",
       "        on_mouse_event_closure('dblclick')\n",
       "    );\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousemove',\n",
       "        on_mouse_event_closure('motion_notify')\n",
       "    );\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseenter',\n",
       "        on_mouse_event_closure('figure_enter')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseleave',\n",
       "        on_mouse_event_closure('figure_leave')\n",
       "    );\n",
       "\n",
       "    canvas_div.addEventListener('wheel', function (event) {\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        on_mouse_event_closure('scroll')(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.appendChild(canvas);\n",
       "    canvas_div.appendChild(rubberband_canvas);\n",
       "\n",
       "    this.rubberband_context = rubberband_canvas.getContext('2d');\n",
       "    this.rubberband_context.strokeStyle = '#000000';\n",
       "\n",
       "    this._resize_canvas = function (width, height, forward) {\n",
       "        if (forward) {\n",
       "            canvas_div.style.width = width + 'px';\n",
       "            canvas_div.style.height = height + 'px';\n",
       "        }\n",
       "    };\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    this.rubberband_canvas.addEventListener('contextmenu', function (_e) {\n",
       "        event.preventDefault();\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus() {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'mpl-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'mpl-button-group';\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'mpl-button-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        var button = (fig.buttons[name] = document.createElement('button'));\n",
       "        button.classList = 'mpl-widget';\n",
       "        button.setAttribute('role', 'button');\n",
       "        button.setAttribute('aria-disabled', 'false');\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "\n",
       "        var icon_img = document.createElement('img');\n",
       "        icon_img.src = '_images/' + image + '.png';\n",
       "        icon_img.srcset = '_images/' + image + '_large.png 2x';\n",
       "        icon_img.alt = tooltip;\n",
       "        button.appendChild(icon_img);\n",
       "\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    var fmt_picker = document.createElement('select');\n",
       "    fmt_picker.classList = 'mpl-widget';\n",
       "    toolbar.appendChild(fmt_picker);\n",
       "    this.format_dropdown = fmt_picker;\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = document.createElement('option');\n",
       "        option.selected = fmt === mpl.default_extension;\n",
       "        option.innerHTML = fmt;\n",
       "        fmt_picker.appendChild(option);\n",
       "    }\n",
       "\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.request_resize = function (x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', { width: x_pixels, height: y_pixels });\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_message = function (type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function () {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({ type: 'draw', figure_id: this.id }));\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function (fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] !== fig.canvas.width || size[1] !== fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1], msg['forward']);\n",
       "        fig.send_message('refresh', {});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function (fig, msg) {\n",
       "    var x0 = msg['x0'] / fig.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / fig.ratio;\n",
       "    var x1 = msg['x1'] / fig.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / fig.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0,\n",
       "        0,\n",
       "        fig.canvas.width / fig.ratio,\n",
       "        fig.canvas.height / fig.ratio\n",
       "    );\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function (fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function (fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch (cursor) {\n",
       "        case 0:\n",
       "            cursor = 'pointer';\n",
       "            break;\n",
       "        case 1:\n",
       "            cursor = 'default';\n",
       "            break;\n",
       "        case 2:\n",
       "            cursor = 'crosshair';\n",
       "            break;\n",
       "        case 3:\n",
       "            cursor = 'move';\n",
       "            break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_message = function (fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function (fig, _msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function (fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_history_buttons = function (fig, msg) {\n",
       "    for (var key in msg) {\n",
       "        if (!(key in fig.buttons)) {\n",
       "            continue;\n",
       "        }\n",
       "        fig.buttons[key].disabled = !msg[key];\n",
       "        fig.buttons[key].setAttribute('aria-disabled', !msg[key]);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_navigate_mode = function (fig, msg) {\n",
       "    if (msg['mode'] === 'PAN') {\n",
       "        fig.buttons['Pan'].classList.add('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    } else if (msg['mode'] === 'ZOOM') {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.add('active');\n",
       "    } else {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message('ack', {});\n",
       "};\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function (fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            var img = evt.data;\n",
       "            if (img.type !== 'image/png') {\n",
       "                /* FIXME: We get \"Resource interpreted as Image but\n",
       "                 * transferred with MIME type text/plain:\" errors on\n",
       "                 * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "                 * to be part of the websocket stream */\n",
       "                img.type = 'image/png';\n",
       "            }\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src\n",
       "                );\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                img\n",
       "            );\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        } else if (\n",
       "            typeof evt.data === 'string' &&\n",
       "            evt.data.slice(0, 21) === 'data:image/png;base64'\n",
       "        ) {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig['handle_' + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\n",
       "                \"No handler for the '\" + msg_type + \"' message type: \",\n",
       "                msg\n",
       "            );\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\n",
       "                    \"Exception inside the 'handler_\" + msg_type + \"' callback:\",\n",
       "                    e,\n",
       "                    e.stack,\n",
       "                    msg\n",
       "                );\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "};\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function (e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e) {\n",
       "        e = window.event;\n",
       "    }\n",
       "    if (e.target) {\n",
       "        targ = e.target;\n",
       "    } else if (e.srcElement) {\n",
       "        targ = e.srcElement;\n",
       "    }\n",
       "    if (targ.nodeType === 3) {\n",
       "        // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "    }\n",
       "\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    var boundingRect = targ.getBoundingClientRect();\n",
       "    var x = e.pageX - (boundingRect.left + document.body.scrollLeft);\n",
       "    var y = e.pageY - (boundingRect.top + document.body.scrollTop);\n",
       "\n",
       "    return { x: x, y: y };\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys(original) {\n",
       "    return Object.keys(original).reduce(function (obj, key) {\n",
       "        if (typeof original[key] !== 'object') {\n",
       "            obj[key] = original[key];\n",
       "        }\n",
       "        return obj;\n",
       "    }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function (event, name) {\n",
       "    var canvas_pos = mpl.findpos(event);\n",
       "\n",
       "    if (name === 'button_press') {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * this.ratio;\n",
       "    var y = canvas_pos.y * this.ratio;\n",
       "\n",
       "    this.send_message(name, {\n",
       "        x: x,\n",
       "        y: y,\n",
       "        button: event.button,\n",
       "        step: event.step,\n",
       "        guiEvent: simpleKeys(event),\n",
       "    });\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (_event, _name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.key_event = function (event, name) {\n",
       "    // Prevent repeat events\n",
       "    if (name === 'key_press') {\n",
       "        if (event.key === this._key) {\n",
       "            return;\n",
       "        } else {\n",
       "            this._key = event.key;\n",
       "        }\n",
       "    }\n",
       "    if (name === 'key_release') {\n",
       "        this._key = null;\n",
       "    }\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.key !== 'Control') {\n",
       "        value += 'ctrl+';\n",
       "    }\n",
       "    else if (event.altKey && event.key !== 'Alt') {\n",
       "        value += 'alt+';\n",
       "    }\n",
       "    else if (event.shiftKey && event.key !== 'Shift') {\n",
       "        value += 'shift+';\n",
       "    }\n",
       "\n",
       "    value += 'k' + event.key;\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, { key: value, guiEvent: simpleKeys(event) });\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function (name) {\n",
       "    if (name === 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message('toolbar_button', { name: name });\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function (tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "\n",
       "///////////////// REMAINING CONTENT GENERATED BY embed_js.py /////////////////\n",
       "// prettier-ignore\n",
       "var _JSXTOOLS_RESIZE_OBSERVER=function(A){var t,i=new WeakMap,n=new WeakMap,a=new WeakMap,r=new WeakMap,o=new Set;function s(e){if(!(this instanceof s))throw new TypeError(\"Constructor requires 'new' operator\");i.set(this,e)}function h(){throw new TypeError(\"Function is not a constructor\")}function c(e,t,i,n){e=0 in arguments?Number(arguments[0]):0,t=1 in arguments?Number(arguments[1]):0,i=2 in arguments?Number(arguments[2]):0,n=3 in arguments?Number(arguments[3]):0,this.right=(this.x=this.left=e)+(this.width=i),this.bottom=(this.y=this.top=t)+(this.height=n),Object.freeze(this)}function d(){t=requestAnimationFrame(d);var s=new WeakMap,p=new Set;o.forEach((function(t){r.get(t).forEach((function(i){var r=t instanceof window.SVGElement,o=a.get(t),d=r?0:parseFloat(o.paddingTop),f=r?0:parseFloat(o.paddingRight),l=r?0:parseFloat(o.paddingBottom),u=r?0:parseFloat(o.paddingLeft),g=r?0:parseFloat(o.borderTopWidth),m=r?0:parseFloat(o.borderRightWidth),w=r?0:parseFloat(o.borderBottomWidth),b=u+f,F=d+l,v=(r?0:parseFloat(o.borderLeftWidth))+m,W=g+w,y=r?0:t.offsetHeight-W-t.clientHeight,E=r?0:t.offsetWidth-v-t.clientWidth,R=b+v,z=F+W,M=r?t.width:parseFloat(o.width)-R-E,O=r?t.height:parseFloat(o.height)-z-y;if(n.has(t)){var k=n.get(t);if(k[0]===M&&k[1]===O)return}n.set(t,[M,O]);var S=Object.create(h.prototype);S.target=t,S.contentRect=new c(u,d,M,O),s.has(i)||(s.set(i,[]),p.add(i)),s.get(i).push(S)}))})),p.forEach((function(e){i.get(e).call(e,s.get(e),e)}))}return s.prototype.observe=function(i){if(i instanceof window.Element){r.has(i)||(r.set(i,new Set),o.add(i),a.set(i,window.getComputedStyle(i)));var n=r.get(i);n.has(this)||n.add(this),cancelAnimationFrame(t),t=requestAnimationFrame(d)}},s.prototype.unobserve=function(i){if(i instanceof window.Element&&r.has(i)){var n=r.get(i);n.has(this)&&(n.delete(this),n.size||(r.delete(i),o.delete(i))),n.size||r.delete(i),o.size||cancelAnimationFrame(t)}},A.DOMRectReadOnly=c,A.ResizeObserver=s,A.ResizeObserverEntry=h,A}; // eslint-disable-line\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Left button pans, Right button zooms\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pgf\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";/* global mpl */\n",
       "\n",
       "var comm_websocket_adapter = function (comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.binaryType = comm.kernel.ws.binaryType;\n",
       "    ws.readyState = comm.kernel.ws.readyState;\n",
       "    function updateReadyState(_event) {\n",
       "        if (comm.kernel.ws) {\n",
       "            ws.readyState = comm.kernel.ws.readyState;\n",
       "        } else {\n",
       "            ws.readyState = 3; // Closed state.\n",
       "        }\n",
       "    }\n",
       "    comm.kernel.ws.addEventListener('open', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('close', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('error', updateReadyState);\n",
       "\n",
       "    ws.close = function () {\n",
       "        comm.close();\n",
       "    };\n",
       "    ws.send = function (m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function (msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        var data = msg['content']['data'];\n",
       "        if (data['blob'] !== undefined) {\n",
       "            data = {\n",
       "                data: new Blob(msg['buffers'], { type: data['blob'] }),\n",
       "            };\n",
       "        }\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(data);\n",
       "    });\n",
       "    return ws;\n",
       "};\n",
       "\n",
       "mpl.mpl_figure_comm = function (comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = document.getElementById(id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm);\n",
       "\n",
       "    function ondownload(figure, _format) {\n",
       "        window.open(figure.canvas.toDataURL());\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy, ondownload, element);\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element;\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error('Failed to find cell for figure', id, fig);\n",
       "        return;\n",
       "    }\n",
       "    fig.cell_info[0].output_area.element.on(\n",
       "        'cleared',\n",
       "        { fig: fig },\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function (fig, msg) {\n",
       "    var width = fig.canvas.width / fig.ratio;\n",
       "    fig.cell_info[0].output_area.element.off(\n",
       "        'cleared',\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "    fig.resizeObserverInstance.unobserve(fig.canvas_div);\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable();\n",
       "    fig.parent_element.innerHTML =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "    fig.close_ws(fig, msg);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.close_ws = function (fig, msg) {\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function (_remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width / this.ratio;\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message('ack', {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () {\n",
       "        fig.push_to_output();\n",
       "    }, 1000);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'btn-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'btn-group';\n",
       "    var button;\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'btn-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        button = fig.buttons[name] = document.createElement('button');\n",
       "        button.classList = 'btn btn-default';\n",
       "        button.href = '#';\n",
       "        button.title = name;\n",
       "        button.innerHTML = '<i class=\"fa ' + image + ' fa-lg\"></i>';\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message pull-right';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = document.createElement('div');\n",
       "    buttongrp.classList = 'btn-group inline pull-right';\n",
       "    button = document.createElement('button');\n",
       "    button.classList = 'btn btn-mini btn-primary';\n",
       "    button.href = '#';\n",
       "    button.title = 'Stop Interaction';\n",
       "    button.innerHTML = '<i class=\"fa fa-power-off icon-remove icon-large\"></i>';\n",
       "    button.addEventListener('click', function (_evt) {\n",
       "        fig.handle_close(fig, {});\n",
       "    });\n",
       "    button.addEventListener(\n",
       "        'mouseover',\n",
       "        on_mouseover_closure('Stop Interaction')\n",
       "    );\n",
       "    buttongrp.appendChild(button);\n",
       "    var titlebar = this.root.querySelector('.ui-dialog-titlebar');\n",
       "    titlebar.insertBefore(buttongrp, titlebar.firstChild);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._remove_fig_handler = function (event) {\n",
       "    var fig = event.data.fig;\n",
       "    if (event.target !== this) {\n",
       "        // Ignore bubbled events from children.\n",
       "        return;\n",
       "    }\n",
       "    fig.close_ws(fig, {});\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (el) {\n",
       "    el.style.boxSizing = 'content-box'; // override notebook setting of border-box.\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (el) {\n",
       "    // this is important to make the div 'focusable\n",
       "    el.setAttribute('tabindex', 0);\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    } else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (event, _name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager) {\n",
       "        manager = IPython.keyboard_manager;\n",
       "    }\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which === 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "};\n",
       "\n",
       "mpl.find_output_cell = function (html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i = 0; i < ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code') {\n",
       "            for (var j = 0; j < cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] === html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "};\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel !== null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target(\n",
       "        'matplotlib',\n",
       "        mpl.mpl_figure_comm\n",
       "    );\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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\" width=\"1348.8889246222423\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(15,12))\n",
    "\n",
    "plt.barh(importance_desc_names, importance_of_sel_desc, color=desc_importance_colors,align='center')\n",
    "plt.xlabel('Feature Importance Scores',fontsize=19)\n",
    "plt.xticks([0,0.04,0.08,0.12],[\"0.00\",\"0.04\",\"0.08\",'0.12'],fontsize=15)\n",
    "plt.yticks(fontsize=15)\n",
    "plt.tick_params(left='on',bottom='on')\n",
    "plt.tight_layout()\n",
    "print()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e176d50c",
   "metadata": {},
   "source": [
    "## External Exerimental Tests"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "cf392e0d",
   "metadata": {},
   "source": [
    "The details of the external experimental test set"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "dc06d8e0",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2022-11-21T07:49:50.108967Z",
     "start_time": "2022-11-21T07:49:50.096608Z"
    },
    "scrolled": false
   },
   "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>Biaryl</th>\n",
       "      <th>Olefin</th>\n",
       "      <th>Ligand</th>\n",
       "      <th>Additive</th>\n",
       "      <th>Solvent</th>\n",
       "      <th>Current</th>\n",
       "      <th>Ligand Concentration</th>\n",
       "      <th>Additive eq</th>\n",
       "      <th>Temperature</th>\n",
       "      <th>ddG</th>\n",
       "      <th>ee</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>Cc1ccc(C=O)c(-c2cccc3ccccc23)c1</td>\n",
       "      <td>C=CC(=O)OCCCC</td>\n",
       "      <td>CC(C)(C)[C@H](N)C(=O)O</td>\n",
       "      <td>[Li]OC(C)=O</td>\n",
       "      <td>CC(=O)O</td>\n",
       "      <td>1</td>\n",
       "      <td>20</td>\n",
       "      <td>2</td>\n",
       "      <td>60</td>\n",
       "      <td>2.772852</td>\n",
       "      <td>0.97</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>O=Cc1cc(Cl)ccc1-c1cccc2ccccc12</td>\n",
       "      <td>C=CC(=O)OCCCC</td>\n",
       "      <td>CC(C)(C)[C@H](N)C(=O)O</td>\n",
       "      <td>[Li]OC(C)=O</td>\n",
       "      <td>CC(=O)O</td>\n",
       "      <td>1</td>\n",
       "      <td>20</td>\n",
       "      <td>2</td>\n",
       "      <td>60</td>\n",
       "      <td>2.772852</td>\n",
       "      <td>0.97</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>N#Cc1ccc(-c2cccc3ccccc23)c(C=O)c1</td>\n",
       "      <td>C=CC(=O)OCCCC</td>\n",
       "      <td>CC(C)(C)[C@H](N)C(=O)O</td>\n",
       "      <td>[Li]OC(C)=O</td>\n",
       "      <td>CC(=O)O</td>\n",
       "      <td>1</td>\n",
       "      <td>20</td>\n",
       "      <td>2</td>\n",
       "      <td>60</td>\n",
       "      <td>3.044882</td>\n",
       "      <td>0.98</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>O=Cc1cc(O)ccc1-c1cccc2ccccc12</td>\n",
       "      <td>C=CC(=O)OCCCC</td>\n",
       "      <td>CC(C)(C)[C@H](N)C(=O)O</td>\n",
       "      <td>[Li]OC(C)=O</td>\n",
       "      <td>CC(=O)O</td>\n",
       "      <td>1</td>\n",
       "      <td>20</td>\n",
       "      <td>2</td>\n",
       "      <td>60</td>\n",
       "      <td>3.044882</td>\n",
       "      <td>0.98</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>O=Cc1ccccc1-c1cccc2ccccc12</td>\n",
       "      <td>C=CC(=O)OCCCC</td>\n",
       "      <td>N[C@@H](Cc1ccc(I)cc1)C(=O)O</td>\n",
       "      <td>[Li]OC(C)=O</td>\n",
       "      <td>CC(=O)O</td>\n",
       "      <td>1</td>\n",
       "      <td>20</td>\n",
       "      <td>2</td>\n",
       "      <td>60</td>\n",
       "      <td>0.439521</td>\n",
       "      <td>0.32</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>O=Cc1ccccc1-c1cccc2ccccc12</td>\n",
       "      <td>C=CC(=O)OCCCC</td>\n",
       "      <td>COC(=O)[C@@H](N)Cc1ccccc1</td>\n",
       "      <td>[Li]OC(C)=O</td>\n",
       "      <td>CC(=O)O</td>\n",
       "      <td>1</td>\n",
       "      <td>20</td>\n",
       "      <td>2</td>\n",
       "      <td>60</td>\n",
       "      <td>0.186764</td>\n",
       "      <td>0.14</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>O=Cc1ccccc1-c1cccc2ccccc12</td>\n",
       "      <td>C=CC(=O)OC(C)(C)C</td>\n",
       "      <td>CC(C)(C)[C@H](N)C(=O)O</td>\n",
       "      <td>[Li]OC(C)=O</td>\n",
       "      <td>CC(=O)O</td>\n",
       "      <td>1</td>\n",
       "      <td>20</td>\n",
       "      <td>2</td>\n",
       "      <td>60</td>\n",
       "      <td>2.578852</td>\n",
       "      <td>0.96</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>O=Cc1ccccc1-c1cccc2ccccc12</td>\n",
       "      <td>C=CC(=O)Oc1c(F)c(F)c(F)c(F)c1F</td>\n",
       "      <td>CC(C)(C)[C@H](N)C(=O)O</td>\n",
       "      <td>[Li]OC(C)=O</td>\n",
       "      <td>CC(=O)O</td>\n",
       "      <td>1</td>\n",
       "      <td>20</td>\n",
       "      <td>2</td>\n",
       "      <td>60</td>\n",
       "      <td>3.044882</td>\n",
       "      <td>0.98</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>O=Cc1ccccc1-c1cccc2ccccc12</td>\n",
       "      <td>C=C(C)C(=O)OC</td>\n",
       "      <td>CC(C)(C)[C@H](N)C(=O)O</td>\n",
       "      <td>[Li]OC(C)=O</td>\n",
       "      <td>CC(=O)O</td>\n",
       "      <td>1</td>\n",
       "      <td>20</td>\n",
       "      <td>2</td>\n",
       "      <td>60</td>\n",
       "      <td>2.105886</td>\n",
       "      <td>0.92</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>O=Cc1ccccc1-c1cccc2ccccc12</td>\n",
       "      <td>C=C(C)C(=O)OCC</td>\n",
       "      <td>CC(C)(C)[C@H](N)C(=O)O</td>\n",
       "      <td>[Li]OC(C)=O</td>\n",
       "      <td>CC(=O)O</td>\n",
       "      <td>1</td>\n",
       "      <td>20</td>\n",
       "      <td>2</td>\n",
       "      <td>60</td>\n",
       "      <td>2.024378</td>\n",
       "      <td>0.91</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                              Biaryl                          Olefin  \\\n",
       "0    Cc1ccc(C=O)c(-c2cccc3ccccc23)c1                   C=CC(=O)OCCCC   \n",
       "1     O=Cc1cc(Cl)ccc1-c1cccc2ccccc12                   C=CC(=O)OCCCC   \n",
       "2  N#Cc1ccc(-c2cccc3ccccc23)c(C=O)c1                   C=CC(=O)OCCCC   \n",
       "3      O=Cc1cc(O)ccc1-c1cccc2ccccc12                   C=CC(=O)OCCCC   \n",
       "4         O=Cc1ccccc1-c1cccc2ccccc12                   C=CC(=O)OCCCC   \n",
       "5         O=Cc1ccccc1-c1cccc2ccccc12                   C=CC(=O)OCCCC   \n",
       "6         O=Cc1ccccc1-c1cccc2ccccc12               C=CC(=O)OC(C)(C)C   \n",
       "7         O=Cc1ccccc1-c1cccc2ccccc12  C=CC(=O)Oc1c(F)c(F)c(F)c(F)c1F   \n",
       "8         O=Cc1ccccc1-c1cccc2ccccc12                   C=C(C)C(=O)OC   \n",
       "9         O=Cc1ccccc1-c1cccc2ccccc12                  C=C(C)C(=O)OCC   \n",
       "\n",
       "                        Ligand     Additive  Solvent  Current  \\\n",
       "0       CC(C)(C)[C@H](N)C(=O)O  [Li]OC(C)=O  CC(=O)O        1   \n",
       "1       CC(C)(C)[C@H](N)C(=O)O  [Li]OC(C)=O  CC(=O)O        1   \n",
       "2       CC(C)(C)[C@H](N)C(=O)O  [Li]OC(C)=O  CC(=O)O        1   \n",
       "3       CC(C)(C)[C@H](N)C(=O)O  [Li]OC(C)=O  CC(=O)O        1   \n",
       "4  N[C@@H](Cc1ccc(I)cc1)C(=O)O  [Li]OC(C)=O  CC(=O)O        1   \n",
       "5    COC(=O)[C@@H](N)Cc1ccccc1  [Li]OC(C)=O  CC(=O)O        1   \n",
       "6       CC(C)(C)[C@H](N)C(=O)O  [Li]OC(C)=O  CC(=O)O        1   \n",
       "7       CC(C)(C)[C@H](N)C(=O)O  [Li]OC(C)=O  CC(=O)O        1   \n",
       "8       CC(C)(C)[C@H](N)C(=O)O  [Li]OC(C)=O  CC(=O)O        1   \n",
       "9       CC(C)(C)[C@H](N)C(=O)O  [Li]OC(C)=O  CC(=O)O        1   \n",
       "\n",
       "   Ligand Concentration  Additive eq  Temperature       ddG    ee  \n",
       "0                    20            2           60  2.772852  0.97  \n",
       "1                    20            2           60  2.772852  0.97  \n",
       "2                    20            2           60  3.044882  0.98  \n",
       "3                    20            2           60  3.044882  0.98  \n",
       "4                    20            2           60  0.439521  0.32  \n",
       "5                    20            2           60  0.186764  0.14  \n",
       "6                    20            2           60  2.578852  0.96  \n",
       "7                    20            2           60  3.044882  0.98  \n",
       "8                    20            2           60  2.105886  0.92  \n",
       "9                    20            2           60  2.024378  0.91  "
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "external_test_set = pd.read_csv('./datasets/external_test_set.csv',index_col=0)\n",
    "ext_ddG = external_test_set['ddG']\n",
    "external_test_set"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2854fb1d",
   "metadata": {},
   "source": [
    "The physorg reaction encoding of the external experimental test set\n",
    "\n",
    "**Note:** All descriptors have been scaled with max-min scaler"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "0032eb73",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2022-11-21T07:49:50.160683Z",
     "start_time": "2022-11-21T07:49:50.142089Z"
    },
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
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       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>q_HF_+1-a16-Imine-CH-GS</th>\n",
       "      <th>q_HF_+1-a15-Imine-AI-GS</th>\n",
       "      <th>q_HF_+1-a15-Imine-CH-R</th>\n",
       "      <th>q_HF_0-a15-Imine-CH-GS</th>\n",
       "      <th>q_HF_0-a15-Imine-AI-R</th>\n",
       "      <th>q_HF_0-a16-Imine-CH-GS</th>\n",
       "      <th>s_HF_0-a15-Imine-CH-R</th>\n",
       "      <th>q_HF_+1-a15-Imine-AI-R</th>\n",
       "      <th>s_HF_-1-a0-Olefin-AI-R</th>\n",
       "      <th>q_HF_0-a0-Olefin-AI-R</th>\n",
       "      <th>...</th>\n",
       "      <th>Sol XLogP3-AA 2</th>\n",
       "      <th>Sol Topological Polar Surface Area Å² 2</th>\n",
       "      <th>Sol Density (g/mL) 2</th>\n",
       "      <th>Sol Molar Volume (mL/mol) 2</th>\n",
       "      <th>Sol Refractive Index 2</th>\n",
       "      <th>Sol Dipole Moment (D) 2</th>\n",
       "      <th>Sol Melting Point (°C) 2</th>\n",
       "      <th>Sol Boiling Point (°C) 2</th>\n",
       "      <th>Temperature</th>\n",
       "      <th>Current</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0.747931</td>\n",
       "      <td>0.779129</td>\n",
       "      <td>0.578974</td>\n",
       "      <td>0.44669</td>\n",
       "      <td>0.168011</td>\n",
       "      <td>0.642867</td>\n",
       "      <td>0.128531</td>\n",
       "      <td>0.668741</td>\n",
       "      <td>0.127431</td>\n",
       "      <td>0.767013</td>\n",
       "      <td>...</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.333333</td>\n",
       "      <td>0.25</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>0.782475</td>\n",
       "      <td>0.788718</td>\n",
       "      <td>0.595265</td>\n",
       "      <td>0.513788</td>\n",
       "      <td>0.203449</td>\n",
       "      <td>0.742391</td>\n",
       "      <td>0.20043</td>\n",
       "      <td>0.656335</td>\n",
       "      <td>0.127431</td>\n",
       "      <td>0.767013</td>\n",
       "      <td>...</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.333333</td>\n",
       "      <td>0.25</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0.904957</td>\n",
       "      <td>0.890819</td>\n",
       "      <td>0.612733</td>\n",
       "      <td>0.730713</td>\n",
       "      <td>0.413068</td>\n",
       "      <td>0.895139</td>\n",
       "      <td>0.199225</td>\n",
       "      <td>0.696119</td>\n",
       "      <td>0.127431</td>\n",
       "      <td>0.767013</td>\n",
       "      <td>...</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.333333</td>\n",
       "      <td>0.25</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>0.658158</td>\n",
       "      <td>0.682999</td>\n",
       "      <td>0.513003</td>\n",
       "      <td>0.352685</td>\n",
       "      <td>0.027685</td>\n",
       "      <td>0.624117</td>\n",
       "      <td>0.203938</td>\n",
       "      <td>0.580308</td>\n",
       "      <td>0.127431</td>\n",
       "      <td>0.767013</td>\n",
       "      <td>...</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.333333</td>\n",
       "      <td>0.25</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>0.86655</td>\n",
       "      <td>0.877378</td>\n",
       "      <td>0.594308</td>\n",
       "      <td>0.483867</td>\n",
       "      <td>0.174023</td>\n",
       "      <td>0.686571</td>\n",
       "      <td>0.135257</td>\n",
       "      <td>0.68034</td>\n",
       "      <td>0.127431</td>\n",
       "      <td>0.767013</td>\n",
       "      <td>...</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.333333</td>\n",
       "      <td>0.25</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>0.86655</td>\n",
       "      <td>0.877378</td>\n",
       "      <td>0.594308</td>\n",
       "      <td>0.483867</td>\n",
       "      <td>0.174023</td>\n",
       "      <td>0.686571</td>\n",
       "      <td>0.135257</td>\n",
       "      <td>0.68034</td>\n",
       "      <td>0.127431</td>\n",
       "      <td>0.767013</td>\n",
       "      <td>...</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.333333</td>\n",
       "      <td>0.25</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>0.86655</td>\n",
       "      <td>0.877378</td>\n",
       "      <td>0.594308</td>\n",
       "      <td>0.483867</td>\n",
       "      <td>0.174023</td>\n",
       "      <td>0.686571</td>\n",
       "      <td>0.135257</td>\n",
       "      <td>0.68034</td>\n",
       "      <td>0.123078</td>\n",
       "      <td>0.731704</td>\n",
       "      <td>...</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.333333</td>\n",
       "      <td>0.25</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>0.86655</td>\n",
       "      <td>0.877378</td>\n",
       "      <td>0.594308</td>\n",
       "      <td>0.483867</td>\n",
       "      <td>0.174023</td>\n",
       "      <td>0.686571</td>\n",
       "      <td>0.135257</td>\n",
       "      <td>0.68034</td>\n",
       "      <td>0.264463</td>\n",
       "      <td>1.0</td>\n",
       "      <td>...</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.333333</td>\n",
       "      <td>0.25</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>0.86655</td>\n",
       "      <td>0.877378</td>\n",
       "      <td>0.594308</td>\n",
       "      <td>0.483867</td>\n",
       "      <td>0.174023</td>\n",
       "      <td>0.686571</td>\n",
       "      <td>0.135257</td>\n",
       "      <td>0.68034</td>\n",
       "      <td>0.261834</td>\n",
       "      <td>0.51614</td>\n",
       "      <td>...</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.333333</td>\n",
       "      <td>0.25</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>0.86655</td>\n",
       "      <td>0.877378</td>\n",
       "      <td>0.594308</td>\n",
       "      <td>0.483867</td>\n",
       "      <td>0.174023</td>\n",
       "      <td>0.686571</td>\n",
       "      <td>0.135257</td>\n",
       "      <td>0.68034</td>\n",
       "      <td>0.273909</td>\n",
       "      <td>0.511926</td>\n",
       "      <td>...</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.333333</td>\n",
       "      <td>0.25</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>10 rows × 119 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "  q_HF_+1-a16-Imine-CH-GS q_HF_+1-a15-Imine-AI-GS q_HF_+1-a15-Imine-CH-R  \\\n",
       "0                0.747931                0.779129               0.578974   \n",
       "1                0.782475                0.788718               0.595265   \n",
       "2                0.904957                0.890819               0.612733   \n",
       "3                0.658158                0.682999               0.513003   \n",
       "4                 0.86655                0.877378               0.594308   \n",
       "5                 0.86655                0.877378               0.594308   \n",
       "6                 0.86655                0.877378               0.594308   \n",
       "7                 0.86655                0.877378               0.594308   \n",
       "8                 0.86655                0.877378               0.594308   \n",
       "9                 0.86655                0.877378               0.594308   \n",
       "\n",
       "  q_HF_0-a15-Imine-CH-GS q_HF_0-a15-Imine-AI-R q_HF_0-a16-Imine-CH-GS  \\\n",
       "0                0.44669              0.168011               0.642867   \n",
       "1               0.513788              0.203449               0.742391   \n",
       "2               0.730713              0.413068               0.895139   \n",
       "3               0.352685              0.027685               0.624117   \n",
       "4               0.483867              0.174023               0.686571   \n",
       "5               0.483867              0.174023               0.686571   \n",
       "6               0.483867              0.174023               0.686571   \n",
       "7               0.483867              0.174023               0.686571   \n",
       "8               0.483867              0.174023               0.686571   \n",
       "9               0.483867              0.174023               0.686571   \n",
       "\n",
       "  s_HF_0-a15-Imine-CH-R q_HF_+1-a15-Imine-AI-R s_HF_-1-a0-Olefin-AI-R  \\\n",
       "0              0.128531               0.668741               0.127431   \n",
       "1               0.20043               0.656335               0.127431   \n",
       "2              0.199225               0.696119               0.127431   \n",
       "3              0.203938               0.580308               0.127431   \n",
       "4              0.135257                0.68034               0.127431   \n",
       "5              0.135257                0.68034               0.127431   \n",
       "6              0.135257                0.68034               0.123078   \n",
       "7              0.135257                0.68034               0.264463   \n",
       "8              0.135257                0.68034               0.261834   \n",
       "9              0.135257                0.68034               0.273909   \n",
       "\n",
       "  q_HF_0-a0-Olefin-AI-R  ... Sol XLogP3-AA 2  \\\n",
       "0              0.767013  ...             0.0   \n",
       "1              0.767013  ...             0.0   \n",
       "2              0.767013  ...             0.0   \n",
       "3              0.767013  ...             0.0   \n",
       "4              0.767013  ...             0.0   \n",
       "5              0.767013  ...             0.0   \n",
       "6              0.731704  ...             0.0   \n",
       "7                   1.0  ...             0.0   \n",
       "8               0.51614  ...             0.0   \n",
       "9              0.511926  ...             0.0   \n",
       "\n",
       "  Sol Topological Polar Surface Area Å² 2 Sol Density (g/mL) 2  \\\n",
       "0                                     0.0                  0.0   \n",
       "1                                     0.0                  0.0   \n",
       "2                                     0.0                  0.0   \n",
       "3                                     0.0                  0.0   \n",
       "4                                     0.0                  0.0   \n",
       "5                                     0.0                  0.0   \n",
       "6                                     0.0                  0.0   \n",
       "7                                     0.0                  0.0   \n",
       "8                                     0.0                  0.0   \n",
       "9                                     0.0                  0.0   \n",
       "\n",
       "  Sol Molar Volume (mL/mol) 2 Sol Refractive Index 2 Sol Dipole Moment (D) 2  \\\n",
       "0                         0.0                    0.0                     0.0   \n",
       "1                         0.0                    0.0                     0.0   \n",
       "2                         0.0                    0.0                     0.0   \n",
       "3                         0.0                    0.0                     0.0   \n",
       "4                         0.0                    0.0                     0.0   \n",
       "5                         0.0                    0.0                     0.0   \n",
       "6                         0.0                    0.0                     0.0   \n",
       "7                         0.0                    0.0                     0.0   \n",
       "8                         0.0                    0.0                     0.0   \n",
       "9                         0.0                    0.0                     0.0   \n",
       "\n",
       "  Sol Melting Point (°C) 2 Sol Boiling Point (°C) 2 Temperature Current  \n",
       "0                      1.0                      0.0    0.333333    0.25  \n",
       "1                      1.0                      0.0    0.333333    0.25  \n",
       "2                      1.0                      0.0    0.333333    0.25  \n",
       "3                      1.0                      0.0    0.333333    0.25  \n",
       "4                      1.0                      0.0    0.333333    0.25  \n",
       "5                      1.0                      0.0    0.333333    0.25  \n",
       "6                      1.0                      0.0    0.333333    0.25  \n",
       "7                      1.0                      0.0    0.333333    0.25  \n",
       "8                      1.0                      0.0    0.333333    0.25  \n",
       "9                      1.0                      0.0    0.333333    0.25  \n",
       "\n",
       "[10 rows x 119 columns]"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "external_physorg_desc = np.load('./descriptors/physorg_for_external_test_set.npz',allow_pickle=True)\n",
    "ext_physorg_desc = external_physorg_desc['react_desc']\n",
    "ext_physorg_desc_name = external_physorg_desc['react_desc_name']\n",
    "\n",
    "ext_physorg_df = pd.DataFrame(ext_physorg_desc)\n",
    "ext_physorg_df.columns = physorg_react_desc_name\n",
    "ext_physorg_df\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "c3559f35",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2022-11-21T07:49:50.679312Z",
     "start_time": "2022-11-21T07:49:50.205741Z"
    }
   },
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "/* global mpl */\n",
       "window.mpl = {};\n",
       "\n",
       "mpl.get_websocket_type = function () {\n",
       "    if (typeof WebSocket !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof MozWebSocket !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert(\n",
       "            'Your browser does not have WebSocket support. ' +\n",
       "                'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "                'Firefox 4 and 5 are also supported but you ' +\n",
       "                'have to enable WebSockets in about:config.'\n",
       "        );\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure = function (figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = this.ws.binaryType !== undefined;\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById('mpl-warnings');\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent =\n",
       "                'This browser does not support binary websocket messages. ' +\n",
       "                'Performance may be slow.';\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = document.createElement('div');\n",
       "    this.root.setAttribute('style', 'display: inline-block');\n",
       "    this._root_extra_style(this.root);\n",
       "\n",
       "    parent_element.appendChild(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen = function () {\n",
       "        fig.send_message('supports_binary', { value: fig.supports_binary });\n",
       "        fig.send_message('send_image_mode', {});\n",
       "        if (fig.ratio !== 1) {\n",
       "            fig.send_message('set_dpi_ratio', { dpi_ratio: fig.ratio });\n",
       "        }\n",
       "        fig.send_message('refresh', {});\n",
       "    };\n",
       "\n",
       "    this.imageObj.onload = function () {\n",
       "        if (fig.image_mode === 'full') {\n",
       "            // Full images could contain transparency (where diff images\n",
       "            // almost always do), so we need to clear the canvas so that\n",
       "            // there is no ghosting.\n",
       "            fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "        }\n",
       "        fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "    };\n",
       "\n",
       "    this.imageObj.onunload = function () {\n",
       "        fig.ws.close();\n",
       "    };\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_header = function () {\n",
       "    var titlebar = document.createElement('div');\n",
       "    titlebar.classList =\n",
       "        'ui-dialog-titlebar ui-widget-header ui-corner-all ui-helper-clearfix';\n",
       "    var titletext = document.createElement('div');\n",
       "    titletext.classList = 'ui-dialog-title';\n",
       "    titletext.setAttribute(\n",
       "        'style',\n",
       "        'width: 100%; text-align: center; padding: 3px;'\n",
       "    );\n",
       "    titlebar.appendChild(titletext);\n",
       "    this.root.appendChild(titlebar);\n",
       "    this.header = titletext;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = (this.canvas_div = document.createElement('div'));\n",
       "    canvas_div.setAttribute(\n",
       "        'style',\n",
       "        'border: 1px solid #ddd;' +\n",
       "            'box-sizing: content-box;' +\n",
       "            'clear: both;' +\n",
       "            'min-height: 1px;' +\n",
       "            'min-width: 1px;' +\n",
       "            'outline: 0;' +\n",
       "            'overflow: hidden;' +\n",
       "            'position: relative;' +\n",
       "            'resize: both;'\n",
       "    );\n",
       "\n",
       "    function on_keyboard_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.key_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    canvas_div.addEventListener(\n",
       "        'keydown',\n",
       "        on_keyboard_event_closure('key_press')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'keyup',\n",
       "        on_keyboard_event_closure('key_release')\n",
       "    );\n",
       "\n",
       "    this._canvas_extra_style(canvas_div);\n",
       "    this.root.appendChild(canvas_div);\n",
       "\n",
       "    var canvas = (this.canvas = document.createElement('canvas'));\n",
       "    canvas.classList.add('mpl-canvas');\n",
       "    canvas.setAttribute('style', 'box-sizing: content-box;');\n",
       "\n",
       "    this.context = canvas.getContext('2d');\n",
       "\n",
       "    var backingStore =\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        this.context.webkitBackingStorePixelRatio ||\n",
       "        this.context.mozBackingStorePixelRatio ||\n",
       "        this.context.msBackingStorePixelRatio ||\n",
       "        this.context.oBackingStorePixelRatio ||\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        1;\n",
       "\n",
       "    this.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband_canvas = (this.rubberband_canvas = document.createElement(\n",
       "        'canvas'\n",
       "    ));\n",
       "    rubberband_canvas.setAttribute(\n",
       "        'style',\n",
       "        'box-sizing: content-box; position: absolute; left: 0; top: 0; z-index: 1;'\n",
       "    );\n",
       "\n",
       "    // Apply a ponyfill if ResizeObserver is not implemented by browser.\n",
       "    if (this.ResizeObserver === undefined) {\n",
       "        if (window.ResizeObserver !== undefined) {\n",
       "            this.ResizeObserver = window.ResizeObserver;\n",
       "        } else {\n",
       "            var obs = _JSXTOOLS_RESIZE_OBSERVER({});\n",
       "            this.ResizeObserver = obs.ResizeObserver;\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.resizeObserverInstance = new this.ResizeObserver(function (entries) {\n",
       "        var nentries = entries.length;\n",
       "        for (var i = 0; i < nentries; i++) {\n",
       "            var entry = entries[i];\n",
       "            var width, height;\n",
       "            if (entry.contentBoxSize) {\n",
       "                if (entry.contentBoxSize instanceof Array) {\n",
       "                    // Chrome 84 implements new version of spec.\n",
       "                    width = entry.contentBoxSize[0].inlineSize;\n",
       "                    height = entry.contentBoxSize[0].blockSize;\n",
       "                } else {\n",
       "                    // Firefox implements old version of spec.\n",
       "                    width = entry.contentBoxSize.inlineSize;\n",
       "                    height = entry.contentBoxSize.blockSize;\n",
       "                }\n",
       "            } else {\n",
       "                // Chrome <84 implements even older version of spec.\n",
       "                width = entry.contentRect.width;\n",
       "                height = entry.contentRect.height;\n",
       "            }\n",
       "\n",
       "            // Keep the size of the canvas and rubber band canvas in sync with\n",
       "            // the canvas container.\n",
       "            if (entry.devicePixelContentBoxSize) {\n",
       "                // Chrome 84 implements new version of spec.\n",
       "                canvas.setAttribute(\n",
       "                    'width',\n",
       "                    entry.devicePixelContentBoxSize[0].inlineSize\n",
       "                );\n",
       "                canvas.setAttribute(\n",
       "                    'height',\n",
       "                    entry.devicePixelContentBoxSize[0].blockSize\n",
       "                );\n",
       "            } else {\n",
       "                canvas.setAttribute('width', width * fig.ratio);\n",
       "                canvas.setAttribute('height', height * fig.ratio);\n",
       "            }\n",
       "            canvas.setAttribute(\n",
       "                'style',\n",
       "                'width: ' + width + 'px; height: ' + height + 'px;'\n",
       "            );\n",
       "\n",
       "            rubberband_canvas.setAttribute('width', width);\n",
       "            rubberband_canvas.setAttribute('height', height);\n",
       "\n",
       "            // And update the size in Python. We ignore the initial 0/0 size\n",
       "            // that occurs as the element is placed into the DOM, which should\n",
       "            // otherwise not happen due to the minimum size styling.\n",
       "            if (fig.ws.readyState == 1 && width != 0 && height != 0) {\n",
       "                fig.request_resize(width, height);\n",
       "            }\n",
       "        }\n",
       "    });\n",
       "    this.resizeObserverInstance.observe(canvas_div);\n",
       "\n",
       "    function on_mouse_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.mouse_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousedown',\n",
       "        on_mouse_event_closure('button_press')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseup',\n",
       "        on_mouse_event_closure('button_release')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'dblclick',\n",
       "        on_mouse_event_closure('dblclick')\n",
       "    );\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousemove',\n",
       "        on_mouse_event_closure('motion_notify')\n",
       "    );\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseenter',\n",
       "        on_mouse_event_closure('figure_enter')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseleave',\n",
       "        on_mouse_event_closure('figure_leave')\n",
       "    );\n",
       "\n",
       "    canvas_div.addEventListener('wheel', function (event) {\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        on_mouse_event_closure('scroll')(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.appendChild(canvas);\n",
       "    canvas_div.appendChild(rubberband_canvas);\n",
       "\n",
       "    this.rubberband_context = rubberband_canvas.getContext('2d');\n",
       "    this.rubberband_context.strokeStyle = '#000000';\n",
       "\n",
       "    this._resize_canvas = function (width, height, forward) {\n",
       "        if (forward) {\n",
       "            canvas_div.style.width = width + 'px';\n",
       "            canvas_div.style.height = height + 'px';\n",
       "        }\n",
       "    };\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    this.rubberband_canvas.addEventListener('contextmenu', function (_e) {\n",
       "        event.preventDefault();\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus() {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'mpl-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'mpl-button-group';\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'mpl-button-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        var button = (fig.buttons[name] = document.createElement('button'));\n",
       "        button.classList = 'mpl-widget';\n",
       "        button.setAttribute('role', 'button');\n",
       "        button.setAttribute('aria-disabled', 'false');\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "\n",
       "        var icon_img = document.createElement('img');\n",
       "        icon_img.src = '_images/' + image + '.png';\n",
       "        icon_img.srcset = '_images/' + image + '_large.png 2x';\n",
       "        icon_img.alt = tooltip;\n",
       "        button.appendChild(icon_img);\n",
       "\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    var fmt_picker = document.createElement('select');\n",
       "    fmt_picker.classList = 'mpl-widget';\n",
       "    toolbar.appendChild(fmt_picker);\n",
       "    this.format_dropdown = fmt_picker;\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = document.createElement('option');\n",
       "        option.selected = fmt === mpl.default_extension;\n",
       "        option.innerHTML = fmt;\n",
       "        fmt_picker.appendChild(option);\n",
       "    }\n",
       "\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.request_resize = function (x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', { width: x_pixels, height: y_pixels });\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_message = function (type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function () {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({ type: 'draw', figure_id: this.id }));\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function (fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] !== fig.canvas.width || size[1] !== fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1], msg['forward']);\n",
       "        fig.send_message('refresh', {});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function (fig, msg) {\n",
       "    var x0 = msg['x0'] / fig.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / fig.ratio;\n",
       "    var x1 = msg['x1'] / fig.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / fig.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0,\n",
       "        0,\n",
       "        fig.canvas.width / fig.ratio,\n",
       "        fig.canvas.height / fig.ratio\n",
       "    );\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function (fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function (fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch (cursor) {\n",
       "        case 0:\n",
       "            cursor = 'pointer';\n",
       "            break;\n",
       "        case 1:\n",
       "            cursor = 'default';\n",
       "            break;\n",
       "        case 2:\n",
       "            cursor = 'crosshair';\n",
       "            break;\n",
       "        case 3:\n",
       "            cursor = 'move';\n",
       "            break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_message = function (fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function (fig, _msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function (fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_history_buttons = function (fig, msg) {\n",
       "    for (var key in msg) {\n",
       "        if (!(key in fig.buttons)) {\n",
       "            continue;\n",
       "        }\n",
       "        fig.buttons[key].disabled = !msg[key];\n",
       "        fig.buttons[key].setAttribute('aria-disabled', !msg[key]);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_navigate_mode = function (fig, msg) {\n",
       "    if (msg['mode'] === 'PAN') {\n",
       "        fig.buttons['Pan'].classList.add('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    } else if (msg['mode'] === 'ZOOM') {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.add('active');\n",
       "    } else {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message('ack', {});\n",
       "};\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function (fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            var img = evt.data;\n",
       "            if (img.type !== 'image/png') {\n",
       "                /* FIXME: We get \"Resource interpreted as Image but\n",
       "                 * transferred with MIME type text/plain:\" errors on\n",
       "                 * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "                 * to be part of the websocket stream */\n",
       "                img.type = 'image/png';\n",
       "            }\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src\n",
       "                );\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                img\n",
       "            );\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        } else if (\n",
       "            typeof evt.data === 'string' &&\n",
       "            evt.data.slice(0, 21) === 'data:image/png;base64'\n",
       "        ) {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig['handle_' + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\n",
       "                \"No handler for the '\" + msg_type + \"' message type: \",\n",
       "                msg\n",
       "            );\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\n",
       "                    \"Exception inside the 'handler_\" + msg_type + \"' callback:\",\n",
       "                    e,\n",
       "                    e.stack,\n",
       "                    msg\n",
       "                );\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "};\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function (e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e) {\n",
       "        e = window.event;\n",
       "    }\n",
       "    if (e.target) {\n",
       "        targ = e.target;\n",
       "    } else if (e.srcElement) {\n",
       "        targ = e.srcElement;\n",
       "    }\n",
       "    if (targ.nodeType === 3) {\n",
       "        // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "    }\n",
       "\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    var boundingRect = targ.getBoundingClientRect();\n",
       "    var x = e.pageX - (boundingRect.left + document.body.scrollLeft);\n",
       "    var y = e.pageY - (boundingRect.top + document.body.scrollTop);\n",
       "\n",
       "    return { x: x, y: y };\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys(original) {\n",
       "    return Object.keys(original).reduce(function (obj, key) {\n",
       "        if (typeof original[key] !== 'object') {\n",
       "            obj[key] = original[key];\n",
       "        }\n",
       "        return obj;\n",
       "    }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function (event, name) {\n",
       "    var canvas_pos = mpl.findpos(event);\n",
       "\n",
       "    if (name === 'button_press') {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * this.ratio;\n",
       "    var y = canvas_pos.y * this.ratio;\n",
       "\n",
       "    this.send_message(name, {\n",
       "        x: x,\n",
       "        y: y,\n",
       "        button: event.button,\n",
       "        step: event.step,\n",
       "        guiEvent: simpleKeys(event),\n",
       "    });\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (_event, _name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.key_event = function (event, name) {\n",
       "    // Prevent repeat events\n",
       "    if (name === 'key_press') {\n",
       "        if (event.key === this._key) {\n",
       "            return;\n",
       "        } else {\n",
       "            this._key = event.key;\n",
       "        }\n",
       "    }\n",
       "    if (name === 'key_release') {\n",
       "        this._key = null;\n",
       "    }\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.key !== 'Control') {\n",
       "        value += 'ctrl+';\n",
       "    }\n",
       "    else if (event.altKey && event.key !== 'Alt') {\n",
       "        value += 'alt+';\n",
       "    }\n",
       "    else if (event.shiftKey && event.key !== 'Shift') {\n",
       "        value += 'shift+';\n",
       "    }\n",
       "\n",
       "    value += 'k' + event.key;\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, { key: value, guiEvent: simpleKeys(event) });\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function (name) {\n",
       "    if (name === 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message('toolbar_button', { name: name });\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function (tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "\n",
       "///////////////// REMAINING CONTENT GENERATED BY embed_js.py /////////////////\n",
       "// prettier-ignore\n",
       "var _JSXTOOLS_RESIZE_OBSERVER=function(A){var t,i=new WeakMap,n=new WeakMap,a=new WeakMap,r=new WeakMap,o=new Set;function s(e){if(!(this instanceof s))throw new TypeError(\"Constructor requires 'new' operator\");i.set(this,e)}function h(){throw new TypeError(\"Function is not a constructor\")}function c(e,t,i,n){e=0 in arguments?Number(arguments[0]):0,t=1 in arguments?Number(arguments[1]):0,i=2 in arguments?Number(arguments[2]):0,n=3 in arguments?Number(arguments[3]):0,this.right=(this.x=this.left=e)+(this.width=i),this.bottom=(this.y=this.top=t)+(this.height=n),Object.freeze(this)}function d(){t=requestAnimationFrame(d);var s=new WeakMap,p=new Set;o.forEach((function(t){r.get(t).forEach((function(i){var r=t instanceof window.SVGElement,o=a.get(t),d=r?0:parseFloat(o.paddingTop),f=r?0:parseFloat(o.paddingRight),l=r?0:parseFloat(o.paddingBottom),u=r?0:parseFloat(o.paddingLeft),g=r?0:parseFloat(o.borderTopWidth),m=r?0:parseFloat(o.borderRightWidth),w=r?0:parseFloat(o.borderBottomWidth),b=u+f,F=d+l,v=(r?0:parseFloat(o.borderLeftWidth))+m,W=g+w,y=r?0:t.offsetHeight-W-t.clientHeight,E=r?0:t.offsetWidth-v-t.clientWidth,R=b+v,z=F+W,M=r?t.width:parseFloat(o.width)-R-E,O=r?t.height:parseFloat(o.height)-z-y;if(n.has(t)){var k=n.get(t);if(k[0]===M&&k[1]===O)return}n.set(t,[M,O]);var S=Object.create(h.prototype);S.target=t,S.contentRect=new c(u,d,M,O),s.has(i)||(s.set(i,[]),p.add(i)),s.get(i).push(S)}))})),p.forEach((function(e){i.get(e).call(e,s.get(e),e)}))}return s.prototype.observe=function(i){if(i instanceof window.Element){r.has(i)||(r.set(i,new Set),o.add(i),a.set(i,window.getComputedStyle(i)));var n=r.get(i);n.has(this)||n.add(this),cancelAnimationFrame(t),t=requestAnimationFrame(d)}},s.prototype.unobserve=function(i){if(i instanceof window.Element&&r.has(i)){var n=r.get(i);n.has(this)&&(n.delete(this),n.size||(r.delete(i),o.delete(i))),n.size||r.delete(i),o.size||cancelAnimationFrame(t)}},A.DOMRectReadOnly=c,A.ResizeObserver=s,A.ResizeObserverEntry=h,A}; // eslint-disable-line\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Left button pans, Right button zooms\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pgf\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";/* global mpl */\n",
       "\n",
       "var comm_websocket_adapter = function (comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.binaryType = comm.kernel.ws.binaryType;\n",
       "    ws.readyState = comm.kernel.ws.readyState;\n",
       "    function updateReadyState(_event) {\n",
       "        if (comm.kernel.ws) {\n",
       "            ws.readyState = comm.kernel.ws.readyState;\n",
       "        } else {\n",
       "            ws.readyState = 3; // Closed state.\n",
       "        }\n",
       "    }\n",
       "    comm.kernel.ws.addEventListener('open', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('close', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('error', updateReadyState);\n",
       "\n",
       "    ws.close = function () {\n",
       "        comm.close();\n",
       "    };\n",
       "    ws.send = function (m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function (msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        var data = msg['content']['data'];\n",
       "        if (data['blob'] !== undefined) {\n",
       "            data = {\n",
       "                data: new Blob(msg['buffers'], { type: data['blob'] }),\n",
       "            };\n",
       "        }\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(data);\n",
       "    });\n",
       "    return ws;\n",
       "};\n",
       "\n",
       "mpl.mpl_figure_comm = function (comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = document.getElementById(id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm);\n",
       "\n",
       "    function ondownload(figure, _format) {\n",
       "        window.open(figure.canvas.toDataURL());\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy, ondownload, element);\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element;\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error('Failed to find cell for figure', id, fig);\n",
       "        return;\n",
       "    }\n",
       "    fig.cell_info[0].output_area.element.on(\n",
       "        'cleared',\n",
       "        { fig: fig },\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function (fig, msg) {\n",
       "    var width = fig.canvas.width / fig.ratio;\n",
       "    fig.cell_info[0].output_area.element.off(\n",
       "        'cleared',\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "    fig.resizeObserverInstance.unobserve(fig.canvas_div);\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable();\n",
       "    fig.parent_element.innerHTML =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "    fig.close_ws(fig, msg);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.close_ws = function (fig, msg) {\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function (_remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width / this.ratio;\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message('ack', {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () {\n",
       "        fig.push_to_output();\n",
       "    }, 1000);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'btn-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'btn-group';\n",
       "    var button;\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'btn-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        button = fig.buttons[name] = document.createElement('button');\n",
       "        button.classList = 'btn btn-default';\n",
       "        button.href = '#';\n",
       "        button.title = name;\n",
       "        button.innerHTML = '<i class=\"fa ' + image + ' fa-lg\"></i>';\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message pull-right';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = document.createElement('div');\n",
       "    buttongrp.classList = 'btn-group inline pull-right';\n",
       "    button = document.createElement('button');\n",
       "    button.classList = 'btn btn-mini btn-primary';\n",
       "    button.href = '#';\n",
       "    button.title = 'Stop Interaction';\n",
       "    button.innerHTML = '<i class=\"fa fa-power-off icon-remove icon-large\"></i>';\n",
       "    button.addEventListener('click', function (_evt) {\n",
       "        fig.handle_close(fig, {});\n",
       "    });\n",
       "    button.addEventListener(\n",
       "        'mouseover',\n",
       "        on_mouseover_closure('Stop Interaction')\n",
       "    );\n",
       "    buttongrp.appendChild(button);\n",
       "    var titlebar = this.root.querySelector('.ui-dialog-titlebar');\n",
       "    titlebar.insertBefore(buttongrp, titlebar.firstChild);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._remove_fig_handler = function (event) {\n",
       "    var fig = event.data.fig;\n",
       "    if (event.target !== this) {\n",
       "        // Ignore bubbled events from children.\n",
       "        return;\n",
       "    }\n",
       "    fig.close_ws(fig, {});\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (el) {\n",
       "    el.style.boxSizing = 'content-box'; // override notebook setting of border-box.\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (el) {\n",
       "    // this is important to make the div 'focusable\n",
       "    el.setAttribute('tabindex', 0);\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    } else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (event, _name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager) {\n",
       "        manager = IPython.keyboard_manager;\n",
       "    }\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which === 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "};\n",
       "\n",
       "mpl.find_output_cell = function (html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i = 0; i < ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code') {\n",
       "            for (var j = 0; j < cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] === html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "};\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel !== null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target(\n",
       "        'matplotlib',\n",
       "        mpl.mpl_figure_comm\n",
       "    );\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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4Ogh4JLWwNXdPU/WHKUQdgwIm5/cJC1+Fq9fv1597vLzt0+fPupHygK4jz76qLJOGzZsmK7BsmXLVHV1ks2AAQPU37OGYmCVdRbXJcn36NFDWWVWwuanOomCrgZTSBq05saOHavqTYYSvkPf73fffYdLL71UPcYxsPAuiYr68QCVQpJmSTT6hU3C59/TVzt16lR1iMaDvsyEi49t0xKm0IfNwzlW7uHXw+LFizO8bpewWeyYmwt1oDVtFX55cA5YhYcbUighXnRlbNiwQVWKN4VjpX50mRCTYMINk5vzeeedd8YY+Dy/TLiBUo+77rpLWfFC2A5I1+krf6wERj0DHDsCNG4HNO2YEGQthJ3JhDvZyQKjRMzmaeWSXPlDZ0V1WpC0hL/88sszNKDFW6hQIeUOCBRa1bR+T58+raw/WohWUqOFTYLfunVrBveFWQaM1jx1sBKQ2QcPSGndUzcSsVW+//57ReCs19ivX790wiax01Ll+Ezh5z+rsq9YsUJtKuEIO9i/s54kiZtfFE6E46TLgroFbnbUn+4kun6ClTsz+2P9S0Z30K3xzDPPqC8efm3wi4ft8ouHbqBgwi8gfskEHk6az9JtxM2ALivW9hTCdjLLDt/5bbmRde/EMaBpJ6BJO4cNufOaE16yaprl39CsLKfJIj4SJ8CYPzz6dPmjNMP6GA5mJUmSCH3YoYTV1c2oAxbAfeyxx8ADs927d2d4hREPtABNIWGXLFlSuToChW3Qt80Ng35T+nhpUdOnS+EBH6umk2isVjv/jQV2aalaIzdoYVNHumiswsgI+naJhdU3HmysxIftPPnkkyqihl8O9OHTOiUZMjLDidB9Q3dFZhY29Q63IVAXHghyE6RwQ3v99dfV1xO/JBj9EUz41USXDucu8GDys88+w0033aTOJMyvKyFsJ7Ps4J1fFwNjBgEnjxsukEuDR+44aDlurzjhJSHsENNj94dH/yhdCySDYMJQMlq0dEfwObpVaLXSTUA3A61zHmbR4qb1bCVsknbgQZn577QqSfy0oEmILIZLS5R+3cwIm5/4tPpJxHyeYh46Wvvn35uEbafQcDAfNv3OHCcJkb5mJxLOh023D0nYTpw3rWnqROFccLx0ddCl9fzzz5+hHn3SjHIhKQfTn1Xo6dNmMWZTuMHyzIFuMPq++Yz1q8UJBvJOAAJrfgTGvwicPAE07wXUvy4hIRLCDjFtToCxS9h0FdDCJhFnJqbvOVjlcfpfSTiRELa1Lx6E0l/OTYF+78xcInTPMDIl0CXCvqNN2NTRtJDpirH6+O3+wswIjWBRInSD0FIO9I/bbZsuJfqxQ21I/JJh9A/9+Iz6CZTAy0LB+g2MjrGrmzwXAoGV840ajKdOGWF7FzVLWKic8JJ1sOISsaBhl7BNC5B+WvpJrULPEi/ZFC9eXN3QI7nT70qyNIWXSxgKxjhfO4RNC5lumECLkgdd9KPSUqeYh45WoqQ+N954owoNDDx0jBVhM2KGxEo//fTp09PHbTesj1E4xIbuIUbiZMuWTbVhxmHTNfTwww+nt8v+aHHTMs5MeFDJTY5fMYyICRRufozA4f/S5UL/dKAwXDFQGCWSmpqK22+/XYVhctyZxXgnLNu4ofjyOcDnQ4yeeSGm9hVuaBG1PoWwQ0DpBBi7hM2DQ/4wGSXStm1bFVpHUvn9998VMfLzmD9guixI2CRGxkHT30wC4s04uihoFdshbLZJ3zT7YhggXTK0EBlNcscdd+Dtt99WKNAnzfA8xgibYX2MhGBcM6MZGHZoSqxcImb7dL/QvUJ3AUMNKXajRPisGS/Nm47c3MybjiRUblLWw0gz4sV6DMN+ebmmefPmyrdPbGix8wyAET+m79+6fLi58PlQ7pJQv1q76yZqv/pkaWjJTOCLN40IkBsfAC5olPAjd8JL1kGLhW1BI5IfHkmbn9ejRo1Sh220fum7pHXFGF/6SU0S5Sc4IzJIpDwwZDgYfdiBFq55cSbQh82NgFY9fdckLvrAebBJUqT7wbRA2R91CXZxhgep1s/5WBM2fcHEgAQ4ZcqUiAmbL/CAj+cEtGDNXCL0OwfengxG2LS6uUlxg+ThJa11hvLRPcX/DiYdOnRQoZO8zRrOWre+H8m6SXjGidcAFk0Hpr4DpGQD2vU2kjn5QISwo2hh+2A9yBAEgcRH4IcvgBkfAVmzATc/ApxbL/HH9O8IhLCFsH2zmGUgggDmTQBmfQJkywF0eByoXNtXoAhhC2H7akHLYJIUAV4DmTMWmDsWyJ4L6PQkUDFjWgI/ICOELYTth3UsY0hmBEjWtKq/+wzIkRvo0hcoX92XiAhhC2H7cmHLoJIEAZI1/dULJgO58gJd+gFl/0sY5jcUhLCFsP22pmU8yYIAL8JMew/4aTqQOz/QLRUoXcnXoxfCFsL29QKXwfkUgVMngclvA0tnAnkLAt3SgJJn+3Sw/w1LCFsI2/eLXAboMwROngQmDQFWzAXyFzHIurizzI6JhowQthB2oq1Z0TeZEWDyJuYFWfU9ULA40D0NKFI6aRARwhbCTprFLgNNcAROHDcy7q1dCBQuCXQfABSKvOZnIqMghC2EncjrV3RPFgSOHwXGvgCsXwIULWO4QQoWS5bRp4/Td4TNPM/Mm7Fq1SqVA4JZz5hhjfkx6tevb3uCdYGx3ZE8GFcEmFSLmQ+ZX4W5V+IpoXK9xFOHYH1FksPcFV1Zymv0QOD3FUDxcgZZ589Y+s0VvVzoVJeXPJf8icl3mGmNeZSZ5IeJ+Vm2ihVAmB3PLmk7AcZaIsyaO9o6r0yvyarglFBVslkgl/mumeyJGxDLUQWKWfYr1JphNrlw+bYzW2/Eipsckx8xQx2LBjMtKavchBNizRSwLN5LYmS6URbDZa1FFksIJiwQzI2W+DA1KYv7smAA+2T1cqsw+yCTOjH9rJnUiTmoWZk+nHiVsJk5kcULmHSKScDiKZ4m7KOHgZHPAH+tAkpWMEL3GBWSpOKEl6xQeY6wQ5EBf8ys9RdY/irUvDsBxiRspi8l4QYjzFatWql0pUeOHAlJ2Mzix2Kx3HCYs3rEiBEhCZulyKwFd80HSWSs7u1EWL6K/TLjHNOv7t+/X216zOpHMg6Vrc7si1nrOEbm0WaNSI6V6U4XLlyo0sYy451VWHyXGfOYB5xzVKVKFVXhfenSpYrEWOPRFFaL4XiZNpVpaM20qdxI2D6r9WQmXiXsTp06gfm+iW+8xbOEffggMHIAsGkdUPocoGt/IE/mhZ3jjV28+3PCSwlH2MxzzPzRrMXHmnx2xAkwJmGzMjmJhVYqicUUEhOJnHmp+SUQysJmxW5aWbQsWWGdXwmBFchNCzvS3Mt2xk4XEovEMk0oq7NQWLyA5MuUoywum5mQ8PksNy5TmLubWLDSC4sEW6uZs5wWv4pIuMw9HUr4xcHCBNzImNPaLMhgFiZgtXrmsE40wmbecxasYMrcwM3MznzpPuNJwj60DxiRBvyzASh7rnHdnDcZk1yc8FJCEDYJgp/iLITKz+rhw4eDlVT4aW5HnABjEjYLwPITnYVumfTeFFrOLCFFa5PWZzDCZrVxugL4iczahlWrVgUreLPqulUiJWyzqG+wxPvWdvlVQAv3iSeeOKPmJF0z1I8bj51SV4E4M483vxysJbCoF/tjjUO6TFgthnMXzFKm1W5i2qtXrwzNc1zcBOjCiZSw+QXATZbtc6Nl3msK9eAGz7XD/Nyss8iCytSTlj+FG8fQoUNVUV1a+9ykWE6Nldk5f1YJ5cOm64guJ1rX3KTNuSV5Exu6f+ha4logTvwaoauMc8R6k9zkWDCYXzZWIZbM/033FMvAER+WLWMV+DJlyqQ/6jnCPrDHIOutfwBnnwd0egrImfmXk53ftB+eccJLCUHYtOb4I6LwE56+Uau1G27ynABjTUTPclL8IdM6Ni1N/hhZ+opFA+hyCEbYLFbAQrd8j6RFXzwtSVY5CUbYrETTt2/fM4bDd/Pm/c8iMQ/YAmswBr5oVmqh1Up3i1VY3ZzE4PTAjmPjpsVNwdw4iAGt9kmTJuH9999XtRBNnzfJpkWLFukqhCuuy6K3LJqbWXHdQJcIy6eRoFk/k2Nu3Lix6o9fZfwSYmV0kindMmyXbhpa+iRBCrFn9R5uZqzCTv/7O++8o8qukYBZ4ceUUITN4hDsh/5riknYJHy6iVgtiJsFNzy6p4YNG6b+joUuaJmzEhAx5RcRCd4UFjImrnSNscIRizDTmCDBUzezKr2nCHv/LmBYf2DHJqBSLSNFao6c4X6uSfPvTngpIQibFhF/jLR6SAQkPP4gaZ0EE/OHbP03a8koOyvCStisHMMfKy1l+lxNy5k65MuXLyhh89OYLhOSlFmdnD8wluvij81qHYc7dLSW/qLudgmbLpg+ffqkW3vWcVMXbjasfsOq7pEIN7Dzzz9fWajWeoh0A9BqJPEQL5IQLV5+FXHM06ZNwzXXXKO6omXLTZDRP1aXCv+NljsJjf0Qw1BiJWxuaiRiun9Y3st6uMlKQDwgZZ+BbjSuC/MLg7UgreXG2C+r9rC0G7+KrGcmoQib1X9o+XJsVsKmG4zr2HQTffnll+o51orkVwrLuVFI1KzOQwz4ZUcxn2XNUNYONYXl5eiCIu48l6B4hrD37gCG9QN2/QNUqWsUH8ieI5Jl5vtnXSVsEtSGDRvAqAgqwh8tD4+sJauiMQO02GipsiwXfbF2xAkwgaWe2CeJhaRD3yqtMm4gJLxgFjbrJ9Ia4icyCZ9CcuIPlq4UayFek7D5GcyDukChtRdJmSrzfX7Ks+gvy2qZZcrMf+Mmwr7oOqDVaVdYIZ4bJTct+qpr1qyZ/ioJhS4ffnkwFNO0jrkmuEFxDPRtU9g3daAVHUiS1Jm6k+TZVjjCnj17NuhWoduDVdatlinf5eHwjBkz1NpkxIodoVXNNUZC5/xxLNbq7MEI29zI2RfdPVbCZi1KumNM2bNnj1pPJGoTE/PfeEZDK5+ETOHGx1qd/H0FRvZwY+RXAv/NM4S9e5tB1nu2AtXqAzf1BrJltwN7Uj3jhJesAEUcJcLTfxIXXRT88dKasgqtHtYtpBXAk3O7P5Zws0bLkD92kocdcQJMIGHzB0PrmOTKgzz6PWnVhKrhR782vwT4Y2TdRVNoqdENwR+YadlF6sO2M2Y+Y/qZTX+q9T3Twg48TM2sbfpRuQmR5OmyaNOmTYbHOS9slyGEJFyrcDOiT5luALp3zGczs7DpkuBmFY6wab0SY25MwSxyfglwo6eFm5nwjISbKb+cdu/eneFREqVJivyHYIRNfzK/Juj6YPiklbCDYcL552+DWFqFbbM/umco/HLgWuIXQKDQVUJ9aTCxPdct7J3/GGS9bwdw/qVGwVyW9xI5AwEnvGRtxDZh0zrg4Ql/nCRp/iAYE00rir40/ji44Gkh8SCHn3kkb/o3ebhCC8KpcGGSMGlN8ZDGjjgBJpCIOR5ax/Sd02qm/5MRIMEIe+fOneogiAQXSmgV0jK3/qijHSVix4cdzGoLpjOtOMackxzod2UYXqDQT/34448rdwAJ2Sqmu4RfJcQmnA+b5E6CsuPDpmVPVxnPAOiSCRQ7hM01ywNi+o8feughdchobgTUnRZ3uKr2rAhPomXUkCnWQ0e6cAJ+cMrFRldbIGGTtM0CzFqEzbSlv8wDFn0J7NkOFCoO1GsO1GgEWAwJO7+jsM9s32SQ9YHdQM3Lgdb3AFmzAvHUIayS3nnACS85ImzeOOQf+lZpOYW7HEBLieTBKAsSHwnNjtB6ICnyh8T+2A59eHRDsIq23dhkJ8AEI2ISFr8m6NPk5y8l2HMMlSN58MAqsKo332GFc+pOayiWhE3/Kz+ZQ0WJ8HDOdGFlNh/cHDnPHDvnMDCqw3yX0Q48EKOVSkK2Cg/96Caihc2DW7ou6M8O1h7dIAxBtLogguln9WFzE+H/t/pzzXfsuESIBdcaozkCiZVWOzeOzAib1jmfY5y99UJRNAjbsUuEh66fvgSsXgCcHkBnAAAgAElEQVScPvUvHFmALFmMyuN0VUSLtLf+CQzvDxzcC9S5Cmh5J5DyL1nHSwc7pOKhZ5zwkiPCJtHQJ8cDk0iEP3wu6FtuucXWazx0IUkwXIw/dJI2fck8SItnlAhP8Sl0LZB0eEhHYgpF2Ixb5iFpqNuJ/EHzxJ/RIzy0jNQlYjesj/rRUmQ/1jhskhP/nuNiVIIpJB3qzS8l07Kl5dmtWzeMHDlSRYUwCiKU0AqnhcmFSPeD6ZtmxAQ3DuJGUqfw64Nx2Iz6YfieedZhxmHTtfDwww9nuk4Co0TM/88zBsZxm0Ld+UUQjMzNQ0fetORGTP+59XyBLj+udeqaGWFzc6bLjGGS1kPUaBC2eegYePjMaBS63kIeOhbJAkx83ULWFjizpABt7gNqNrH1W8z0oc2/ASNSgcMHDOu9+W3/bQRMmxoPHfRHEfcW4kbYcR+ZZodOgAnlmw5UJfA584cfSBrW9+izZKzwRx99pDYv80cd6qYj3yXJmz5vu1EifI++Tx4qmjcd+Wn/8ssvq82WFqz1cgt1oaVqDfXjOPg8N0q6tAKFccqMjDCFJEJrmlEk9NfTZcZNgV9W/DKyRm+YLhtuviRF86Zj+fLllSst8DAysO9gNx1pIQ8YMECRPUmfQlLm1xo3W260zZs3VxsSD615sEgjgq42Ejbngl9H3LS4kfDgjy48GhuZETajgXimQleXVaJB2GzPDOvjuQHnk8YAcS1VqpSaR/MqfwYf9m/TgY2h/PZZgHLnAj0zfgml687Up19+AKyYAzBZU/achpujec+MPmneXPxkAHDkINCwFdDsFsOCN+WDx5zroPm79/rrTnjJOibbPmyvAxGonxNgnBI2rX+G02V2mEfSZBQN/f7sJ1xYH8dD69W0QiMhbL47d+5cFWNs5hJhBAIPJK1Ey+eCETYjQvh+KDE3Heu/M6yOh44kRB4GNmrUSJ15BOYR4Tt0bfHfeGBo5hKhLzyYK8kOYfMZjpUHgNYzARIyD4m5IfFshQef9G3zi4GbJ4VfLowv58ZCvHlgTpxowXKOQhE2I11ImHQD8dlYEDa/SNg+Nxd+sZgXZ4hdyIszi0cAjIUOJSwY0PuDM/+VZP3ancC+IK7LAkWB+982SPvPVUZukGOHgUZtgSs6ZyRrtvxiD8OnHakOiUYyDvR1wkuOCDvw4oddXc2LDHafj9ZzusBESw9px58IcNPhVwUJP3ATdHXEyrpdx2+MIGpkYmFPeceorRhKLroWOK8hMPo5w/q+vAPQ5OYzyZrvD74VOLgndFv5CgF9PnIVJrc61+Ul2xY2raZIrjObfkJ+VrohusC4obP0mTgI8ACVEUvhcp/EfURO/cfPdQSYBjWUZPv3AsyJY8BVXYHLbgz97NM3AyePh/73rNmBvuPiDo0XOtTlJduEzc9KJ8KETW6ILjBu6Cx9CgLaCDCcLj1Cg1Y2/9iIEkm7kY7/8N1f2wNoYORqCSmpGWP1gz6XOjF8Xz58QpeXbBN2omGnC0yijVf0FQTSEUiPgZ4O7NlmlOGqd23mcdjhLGw23uIOo51wEq6tHLmBJ0aFa8WX/67LS0LYvlwWMihBIEIEwvmwK9QAbsl4kzVkD+Haoj+85R0RKuiPx10nbMbQMr6YYWFUhtEMDEcKzBQXb7h1gYm3vtKfIOAqAplFieTOZxwS2r1ubjfixNUBu9O5Li85trAZAsWcCFOmTFExr2aifF7CoFIkbF6AyeyacSwh0wUmlrpJ24KAJxEw47CXzvrv0LBSbaDzk/bJ2hxYekz3XOD4ESB7LuPCTmBMtyeBiJ1SurzkmLB5gYGXFXjTi7kkzMsYvGHH2FFe1eYzvEXmhugC44bO0qcg4DoCC6YA0z8wCJrpUc81UsCKRAcBXV5yTNhMZ8lLEUzYE0x4MYHJknhhwQ3RBcYNnaVPQcBVBOZPBL4eDjCEr/2jQJWMFXdc1c0nnevykmPCZjIf5pkwc24E4snE77xBFph+NV646wITLz2lH0HAEwjMHQd8M9q4jt7xCaDSfznPPaGfT5TQ5SXHhM2rsbSiSdrBhNd1aX2zGogboguMGzpLn4JA3BFg7PXsUcC8TwGG23V+yqjDKBITBHR5yTFhMx8xcxzwQk1g8VASNbO9MbmPtbxRTBAI0aguMPHUVfoSBFxBgGT91TDgh0lAzjxA1/5A2aquqJIsnerykmPC3rp1q0qUw6Q0TEPJpDqUNWvWqIQ5/DvWrWMqTTdEFxg3dJY+BYG4IcDLNV++bxQ5YNhe11SgzDlx6z5ZO9LlJceETcBZhYYRIYzFZhw2hbmRmTyeWdMCC63Gc5J0gYmnrtKXIBBXBEjWU94ClswE8hQAuqUBpSrEVYVk7UyXl7QI28ug6wLj5bGJboKAYwROnQQmDQWWzwHyFQa6pwHFyzluTl6MDAFdXhLCjgxveVoQSFwEeJll4mvAL98BzHHdfQBQtEzijicBNXeVsHnDkWkmWQmDlbD5/61C5ZhY3g3RBcYNnaVPQSBmCJw4bmTxW/OjkQyKZF3YnfOlmI0xARrW5SXHFjYL0rK2HH3XgURt4kblJB92AqwiUdHfCBw/Box7Afh1MVCktEHWBYv5e8weHZ1rhM0IERZ5ZQ09/jdr4AUTRou4IbrAuKGz9CkIRB2BY0eBMQOBDcuBYmUNnzXLhIm4goAuLzm2sHPnzg0WP33sscdcGXi4TnWBCde+/Lsg4HkEjh4GRj0L/LkSKHE20C0VYHkuEdcQ0OUlx4TNXCL/+9//8NBDD7k2+Mw61gXGk4MSpQQBuwiwojmL5W5cA5SuZFyKYQifiKsI6PKSY8JmNr533nkHCxcuRJ48eVwFIVjnusB4bkCikLcQSK/q8iWwZztQqDhQrzlw/qXAyvnGhRTr39doBKSkxGcMh/YDnwwANq8HzqoKdOkH5M4bn76ll0wR0OUlx4RNrei/Hjp0KDp37ozy5csja9asZyh7++23uzKFusC4orR0mhgIZKibeOpfnf+tm5i/MLBvl6VquY16itEc9cG9wIg0YMvvQPnzjNwgOXNHswdpSwMBXV5yTNibNm1CmzZtsHjx4pDqS5SIxszKq95FILPK5KG0zpICtLnPSOIfK9m/GxjeH9i+Eah4gZF1L0euWPUm7TpAwDXCvvbaa/HNN9+oFKoNGzYMGSXSpEkMF2gmgOkC42Au5JVkQeCDx4CNayMcbRag3LlAz4ERvmfz8X07gWH9gJ2bgcoXGvmsmSpVxFMI6PKSYws7X758uP/++/Hss896ChBTGV1gPDkoUcobCLzUE9hPt0eEwnC63h9E+JKNx1kZnWS9eytQtR5w88NAtuw2XpRH4o2ALi85JuyyZcuqkD6WCPOi6ALjxTGJTh5BQFnY6yx+ajt6xcjC3vUPMKw/sHc7cF5D4MYHhaztTIdLz+jykmPCfuqppzB37lx8++23quiu10QXGK+NR/TxEAJe8WHv+Nsg6/07gQsaAzfcBwQ5+PcQckmvii4vOSbsWbNmqRSqLBXWq1evkFEijRs3dmWSdIFxRWnpNDEQyBAlwvw5/BMYJcKhWP6+egPgpt7RC+3b9pdB1gf3ALWvAFrdBaScGaWVGIAmj5a6vOSYsFMCYkoDrWzmF5EokeRZiEk30vQ47OkAfchMqFTvWkscdsDfRzMO+5/fgRGpwKF9wEXXANfdHr2NIOkmMr4Ddo2wWRrMjnTv3t3OY1F/RheYqCskDQoC0UDg71+BEQOAIweA+i2Ba3sAHnRJRmOofmxDl5ccW9heB1MXGK+PT/RLQgT+WgOMfBo4egi4tA1wVVch6wRbBrq8FBFhN2vWDK1bt8b111+vfNZeFl1gvDw20S0JEfjjF2Dks8DxI0CT9sDl7YWsE3AZ6PJSRITNyzKMDDl27Bhq1qypyJv1G+vUqeM56HSB8dyARKHkReC3ZcDogcCJY8CVXYBGbZMXiwQfuS4vRUTYxOrgwYP48ssv8cUXX2DatGnYvXs3ypQpo6zuG264AU2bNkX27O4H7esCk+DrQtT3CwLrfgLGvgCcPA5ccyvQsJVfRpaU49DlpYgJ24ryqVOnMG/ePEyaNAlTpkxRpcLy588Puk5I3tddd51rldN1gUnK1SSD9hYCqxcA418CTp0wIkEubu4t/USbiBHQ5SUtwg7UlhVoPv/8c0yePFmlXWXo3yWXXKIKHdDyjqfoAhNPXaUvQeAMBFgod8IrAOukMsa6zlUCkg8Q0OWlqBK2Fc9t27YptwnJu1GjRujTp09c4dYFJq7KSmeCgBWB5XOAz4cYf3PDvUCtywUfnyCgy0sxI2y38dUFxm39pf8kRWDx18Dkt4wIkLYPATUuTVIg/DlsXV6yTdjMGeJE5Gq6E9TknaREYOE0YNp7QEo2oF0foHr9pITBz4OOG2HTHx1Jkie5mu7nZSdjizoC308CvvoYyJrdyGVdtW7Uu5AG3UcgboRt9yp6ICRyNd39RSIaeByBbz8FZo8EsuUwqsScU8vjCot6ThGIG2E7VdCt93SBcUtv6TeJEGAEyDejgW/HG6W8Oj0FVDg/iQBIvqHq8pJtH3Zm0PIyDS/QMC47UNy6wq4LTPItJRlxXBEgWc8cAcyfCOTMA3TpC5SrFlcVpLP4I6DLS1qEPWrUKFUibM2aNSFHfvLkyfijwuzEWbKAfnQRQcBzCHBdTv8A+HEqkCsf0LU/cFZlz6kpCkUfAV1eckzY48aNQ4cOHVCtWjVcfvnlePvtt9GpUydlZfPyzHnnnaeuq/PSjBuiC4wbOkufSYAAv0KnvgMs/grIUwDolgqUqpgEA5chEgFdXnJM2PXr11dJoHijce/evShRogRmzpyJK664Ar/++isaNGigSLxdu3auzJQuMK4oLZ36G4FTJ4Ev3gSWzQbyFQa6pQElyvl7zDK6DAjo8pJjws6bNy8GDBiA3r17Y9euXShWrBhmzJiBq6++WinImo9MErV48WJXpkwXGFeUlk79iwBdg5+/Dvz8LZC/KNA9DSh2ln/HKyMLioAuLzkm7IIFC2Lw4MG4/fbbcfToUeTOnRsjR45Ex44dlaLvv/8+7r//fpXdzw3RBcYNnaVPnyJw4riRF2T1D0DB4kD3AUCRUj4drAwrMwR0eckxYdeqVQvMjz1o0CClX8WKFdGkSRN8/PHH6v936dJF5c7euHGjKzOoC4wrSkun/kOAZD1uMLBuEVC4lEHWhYr7b5wyIlsI6PKSY8J+6KGHVErVdevWKUX79euHZ555Rh1AMjqDV9nvuecevPbaa7YGEu2HdIGJtj7SXhIicPwoMGYQ8NtSoOhZhhukQNEkBEKGbCKgy0uOCXvr1q345ZdfcNlllyFnzpw4ceKEcoGMHj0aWbNmRZs2bfDqq68iT548rsyWLjCuKC2d+geBY0eAUc8CLO1VorxxwJivkH/GJyNxhIAuLzkmbEfaxvElXWDiqKp05TcEjhwCRj0D/LXaCNnrmgrkLeC3Ucp4HCCgy0tC2A5Al1cEgZAIHD4AfDIA+PtXoExl41JM7nwCmCCgEHCNsGfNmqXirgcOHBh0Kp544glcddVVKi7bDdEFxg2dpc8ER+DQPmB4GrBlg3HNvHNfIJc7LsEER9K36uvykmML+8orr0Tx4sUxZsyYoOB27twZ27dvx1dffRUR+BMmTMDYsWOxaNEibNmyRRX4ZTQKb0zyco5d0QXGbj/ynCCgEDiwBxieCmz7E6hQw8i6lzO3gCMIZEBAl5ccEzbJmlb0gw8+GHRKGB3y3HPPgYeTkQhvSJKkeWjJxFFr165FamoqcuXKheXLl6siv3ZEFxg7fcgzgoBCYN8uYHg/YMffwDm1gfaPATlyCjiCwBkI6PKSY8LmRZkXX3wRd999d9BpGTp0qKrjeOTIkYimjVY5NwOrMJ6b4YLvvvsuevXqZas9XWBsdSIPCQJ7tgPD+gG7twBVLwLaPQxkzyG4CAJBEdDlJceEzeRONWrUAJNABZObb75ZWcS0kHXl0KFD4FV4xnqnpaXZak4XGFudyEPJjcDurQZZ79kGVG9g1GDMlj25MZHRZ4qALi85Jmy6KZ5++mm8/PLLuO+++9LLh/HSzJAhQ5SrhC4TPqMr06ZNQ4sWLVSMNzME2hFdYOz0Ic8kMQI7NxtkvW8nUKMR0OZ+IGvWJAZEhm4HAV1eckzYhw8fVhEgzNZHnzOtbcrKlSuxadMm1KtXD3PmzFE5RnRk3759qi0OdMWKFciRw97npi4wOjrLuz5HYNtGYHh/4MBuoPYVQKu7gBQha5/PelSGp8tLjgmb2jPp00svvaSiOphSlVKlShW0b99eZfHjDUgdYfpW5tResGAB5s2bh5o1a4ZsjhZ/oLtEChjooC/vBkVgyx8GWTOEr24zoMUdQEqKgCUI2ELAVcIOp6FZOT3cc8H+nVfd6QefPn26+tO4ceOImtEFJqLO5OHkQGDzb8CIVICXYy5uATTvyZsQyTF2GWVUENDlJccW9nvvvZdpxAYrz7Bi+ogRIyIeKMuKMdvfZ599hkmTJqk47EhFF5hI+5PnfY7AxrXGDcajh4BLWgNXdxey9vmUx2J4urzkmLCzZcumXCFt27Y9Y1y0rHlxhhEktJQjERL9rbfeCtaL5PuMx3YiusA46VPe8SkCf64CRj4NMKFT43ZA045C1j6d6lgPS5eXHBP2nXfeiWHDhqkUq7z1aAoJl7Udx48fj3feeQe33XZbRBgwrvvNN9/EAw88oHzhVmF89jnnnGOrPV1gbHUiD/kfgQ0rgNHPAUyV2rQT0MSdknf+Bzo5RqjLS44Jm1Y0CZX+5dmzZ+Oiiy4CXRmsOMPr5XSZ9OjRI+JZqFChAv7888+g79HFYhZICNewLjDh2pd/TwIEfl1s5LM+edxwgVx6QxIMWoYYSwR0eckxYXNQx48fx3XXXYdly5aByaBY45EV00nWdGu4KbrAuKm79O0BBNb8CIx/ETh5AmjeC6h/nQeUEhUSHQFdXtIibILHmo2Mx166dKmqNPPBBx+gW7duruOqC4zrAxAF3ENg5XyjBuOpU0DLO4GLmrmni/TsKwR0eck2YbPkVyjZsWOHsqgZhte1a9cMj0Uajhet2dEFJlp6SDsJhsCKucDE1w2lW99tXIwREQSihIAuL9km7JSUlPTr58F0Ny+pUCGKGYNNv7YboguMGzpLny4jsGQm8MWbRgTIjQ8AFzRyWSHp3m8I6PKSbcJmRIgT4UGhG6ILjBs6S58uIrBoOjD1HSAlG9Cut5HMSUQQiDICurxkm7CjrHfMm9MFJuYKSgfeQeCHycCMD4Gs2YH2jxhpUkUEgRggoMtLQtgxmBRpMoEQ+O4zYOYIIFsOoMPjQOXaCaS8qJpoCMSNsNesWYNq1ao5wmf16tWoXr26o3edvqQLjNN+5b0EQeD0aWDuOGDOGCB7LqDTk0BFI+OkiCAQKwR0ecm2hc2r6Lwoc++994JlvOwIM+wxN/bEiRNVzHY8RReYeOoqfcUZAZL1rJHAdxOAHLmBLn2B8vE1KOI8YunOIwjo8pJtwv7+++/x8MMP44cffgBvIzIhE/NUV6pUCYULF1ZRIbt27cL69etVjuyvv/4aGzduVOQ+ePBgXHLJJXGFTBeYuCorncUPAZL1jI+ABZOBXHmBLv2AslXj17/0lNQI6PKSbcI2Uf7mm29UjhDmEGHpLjOMz/x3EneePHnQqlUr3H777aoWoxuiC4wbOkufMUaAF2GmvQf8NB3InR/olgqUrhTjTqV5QeA/BHR5KWLCNrtmFr7Fixdj1apV4MUZCpMzsdZjnTp1QBeKm6ILjJu6S98xQODUSWDy28DSmUDegkC3NKDk2THoSJoUBEIjoMtLjgnb65OiC4zXxyf6RYAAL29NGgLwFmP+IgZZFy8bQQPyqCAQHQR0eUkIOzrzIK14FQEmb2JekFXfAwWLA93TgCKlvaqt6OVzBISwQ0ywLjA+XzfJMbwTx42Me2sXAoVLAt0HAIVKJMfYZZSeRECXl8TC9uS0ilLaCLDgwNgXgPVLgKJlDDdIwWLazUoDgoAOAkLYYmHrrB9/vstSXmOeBzYsB4qXM8g6f2F/jlVGlVAICGELYSfUgo25skcPA6OeAViHsWQFI3SPUSEigoAHEBDCFsL2wDL0iAqHDwIjBwCb1gFlKhuXYvLk94hyooYgwMy9WdQlQ6cSNx+2mR/bqaKRvqcLTKT9yfMuI3BoPzAiDfjnN6DsucZ1c95kFBEEPISALi/FhbCPHj2KYsWKYf/+/XGDTheYuCkqHekjcHAvMDwV2PoHcPZ5QKengJy59duVFgSBKCOgy0txI+zcuXPjFK8Gx0l0gYmTmtKNLgL7dxlkvX0jUKmWkSI1R07dVuV9QSAmCOjyUtQIm+lXzz333KBlxGhhM79IPMuF6QITk9mSRqOLwN4dwLB+wK5/gCp1gZsfAbLniG4f0pogEEUEdHkpaoTN3CG5cuVCzZo1ceGFF6b/ueCCC5STXQg7irMuTQG7txlkvWcrUK0+cFNvIFt2QUYQ8DQCniFsZu5bvnw5lixZgqVLl6o/K1euVGRNy5v/LRa2p9dS4ii38x+DrPftAM6/1CiYm9XdZGOJA55o6iYCniHsYCCwaAGJ2iTw119/PW5Y6QITN0Wlo8gQ2L4JGN4foO+65uVA63uArFkja0OeFgRcQkCXl6LmEtm0aRPKlvVOBjRdYFyaT+k2MwS2/mmQNaNC6lwFtLwTSBGylkWTOAjo8lLUCDslJQVFixZVvmvmwzb92FWrulPNQxeYxFkCSaLpPxuMaJDD+4F6zYHmtwEpKUkyeBmmXxDQ5aWoEXa5cuWQN29etG3bFrS26QZh5AgPImvVqqUIXFwifll2cR4Hby5+MgA4chBo2ApodguvjMVZCelOENBHwDOEfeTIEbzwwguqfNgDDzyg/jDuesWKFVi2bJki8DfffFN/xDZb0AXGZjfyWKwR+Gs18MnTwLHDQKO2wBWdhaxjjbm0HzMEdHkpaha2OcLNmzfjySefxPz58zFo0CC0adMmZoPPrGFdYFxRWjrNiMDvPwOjngOOHwGadgSa3CwICQIJjYAuL0WdsE00aVE/+OCD6iLNqFGjULp0fKt86AKT0KvCD8qvX2qkSD1xDLiqG3CZOxu/H6CUMXgHAV1eiiph//HHH/jll1/S/9Adsn79esyaNQsNGzaMK2q6wMRVWeksIwJrFwHjXgBY3uvaHkCD6wUhQcAXCOjyUtQIu0CBAsiXL586YOQf3nisXbu2ujST1YU4WV1gfLE6EnEQq34APn0JYJXzFncA9a5NxFGIzoJAUAR0eSlqhE1SLlSoUIaQPkaGhMovEuv51AUm1vpJ+0EQ+Hke8NmrAPMFt74buPBKgUkQ8BUCurwUNcIOdTWdOUZMa1uiRHy19qI7mKWzgUlDjQiQNvcDNRtHt31pTRDwAAKeIexgWMjVdA+skERQ4aevgClvGbcW2z4EnH9JImgtOgoCESPgacKOeDRRfEEXmCiqIk1lhsCPU4Ev3zeSNzE96rn1BC9BwLcI6PJSRC4RWswPP/wwGjdujBtvvDEd1IMHD6pbjl4SXWC8NBbf6jL/c+DrYUC2HED7R4EqdXw7VBmYIEAEdHkpIsL++OOP0bNnT3z11Ve48krjQGjnzp0oWbIkKleurKJCzBwidevWVblF3BJdYNzSO2n6nTse+GYUkD0n0PEJoFLNpBm6DDR5EdDlpYgI+/rrr8eePXswb968dMRJ2MWLF1cXY7Zt26ZyXlOpUqVK4ffff0eOHO5UANEFJnmXVIxHzgiQ2aOAeZ8COXIDnZ8y6jCKCAJJgIAuL0VE2GeddRbuuusudfXcFJOwZ86ciUsuuURdmvnxxx9x7733qhuOHTp0cGUadIFxRWm/d0qypgvk+0lAzjxA1/5AWXeyOfodahmfNxHQ5aWICDtnzpwqudMtt9wSlLCvuOKK9L+//PLLldU9evRoV5DTBcYVpf3cKQswT/8AWDgNyJ0P6JoKlDnHzyOWsQkCZyCgy0sRETYvxqSlpeH+++9PV+TYsWN4+eWX1SGkNfd1amqqsrDXrVvnyrTpAuOK0n7tlGQ95W1gyddAngJA9wFAybP9OloZlyAQEgFdXoqIsBs0aKCqynz66adhp+T9999XKVYPHDgQ9tlYPKALTCx0Sso2ecWcF2KWzwHyFQa6pwHFyyUlFDJoQUCXlyIi7IEDByoL+6effkKNGjUyRX/w4MHo378/eAPSDdEFxg2dfdcnkzdNfA345TugQFHDsi5axnfDlAEJAnYR0OWliAh77969qF69uoq5/vrrr1GhQoWQerZu3Rpr165VVWfcEF1g3NDZV32eOG4kcVrzI1CohEHWhUv6aogyGEEgUgR0eSkiwqZyCxYsQPPmzXH69Gn07dtXxWXTt20VukPuuOMO9O7dW1WhcUN0gXFDZ9/0efyYkR7118VAkdIGWRcs5pvhyUAEAacI6PJSxIRNRZcsWYKuXbti9erVKs6al2UqVaqkYrB//vlnZVXT183n3Lo8owuM0wlJ+veOHQXGPg/8tgwoVtbwWecvkvSwCACCABHQ5SVHhM2OT5w4gXfffRfDhw/HwoUL02eDaVZbtGiBIUOGgIV53RJdYNzSO6H7PXoYGP0c8McvQImzgW6pQL6MX18JPT5RXhDQRECXlxwTtlVv5hLZuHEjGOJXsWJF5M+fX3NY+q/rAqOvQZK1wIrmI58BNq4BSlcyLsUwhE9EEBAE0hHQ5aWoEHaw+fj222/B3CMffvihK9OlC4wrSidqp4cPACPSgM3rgbOqAl36Abm9lQwsUaEVvf2FgC4vRZWwWdORLhL+YR4RCv3aboguMG7onJB9HtwHjEgFtvwOlD/PyA2SM3dCDkWUFgRijYAuL2kTNt0hvEhDa5pJoU6dOoXy5cujRDrZ9bIAAB6nSURBVIkSWLx4sRB2rFeAm+0f2AMM6wds3whUvMDIupcjl5saSd+CgKcRcI2w58yZo0h6woQJIGkztO+mm25Cly5dVL7sQYMG4YknnhDC9vTy0VBu305gWH9g599A5QuNfNZMlSoiCAgCIRGIK2Fv2LABw4YNUy6Pv/76C9mzZ8d1112nSLply5YZUqkKYft41e7ZZljWu7caFWLaPQxky+7jAcvQBIHoIBBXwk5JSQH/XHbZZejcuTPatWt3xqUZc1hOCXvTpk3qsg2vvy9btgyHDx9W8d7VqlWLCDFdYCLqLJke3vWPYVnv3Q6c1xC48UEh62SafxmrFgK6vBSRD5tkzYsyvOlIwm7VqlXIAgVOCZuulvbt24MVa3ibcvr06ULYWkskii/v+Nsg6/07gQsaAzfcB2TNGsUOpClBwN8IxJWwV6xYocL0mON6x44dKFCgANq2batcIsx/bRWnhM1DS24MFPrIb731ViFsL6zhbX8ZZH1wD1D7CqDVXUaVcxFBQBCwjUBcCdvUirccp06dqgh12rRp6tZjmTJl0KlTJ2V516xZMyqHjkLYttdBbB9kyN7wVODQPuCia4Drbgf+3VRj27G0Lgj4CwFXCNsKIUuEjRw5UpE3fc5UiBn9ihQpgvnz52tFiQhhe2Cx/r3euBRz5ABQvyVwbQ8mRPCAYqKCIJB4CLhO2FbIWM/xo48+UpVmtm7dqshb5+KMELbLC5LXzD95Gjh6CLi0DXBVVyFrl6dEuk9sBDxF2FaXCQ8LGf43btw4xwhHQtgsScbiClbhoaWIQwSYwGnks8DxI0CT9sDl7YWsHUIprwkCJgKeIuxoX02PhLADl4QuMEm9xH5bbmTdO3EMuLIL0KhtUsMhgxcEooWALi9FFNYXTOlYXk0Xwo7WMomgnXWLgbGDgJPHgWtuBRq2iuBleVQQEAQyQ8A1wo7H1XQh7Dgv/tU/AuNfBE6dMCJBLm4eZwWkO0HA3wjElbDjdTXdrMrOTeGNN97Aa6+9psIGWUuSl3bsiC4wdvrw1TMslDvhFYB+f8ZY17nKV8OTwQgCXkBAl5ciconE42o6QeWggsnZZ58N+sntiC4wdvrwzTPL5wCfDzGGc8O9QK2Ml6B8M04ZiCDgMgK6vBQxYcf6anq08NQFJlp6eL6dxV8Dk98yIkDaPgTUuNTzKouCgkCiIqDLSxERdjyupkdrInSBiZYenm5n4TRg2ntASjagXR+gen1PqyvKCQKJjoAuL0VE2CZY8bqarjM5usDo9J0Q7/7wBTDjIyBrdiOXddW6CaG2KCkIJDICurzkiLCtgMXyarrOxOgCo9O359+dNwGY9QmQLYdRJeacWp5XWRQUBPyAgC4vaRO2FcRoX03XmSBdYHT69uy7jACZMwaYO84o5dXpKaDC+Z5VVxQTBPyGgC4vRZWwTXCZP4RZ/Hg1ffz48a5grguMK0rHslOS9cwRwPyJQM48QJe+QLnIikLEUj1pWxBIBgR0eSkmhO0F4HWB8cIYoqYDyXr6h8CPU4Bc+YCu/YGzKketeWlIEBAE7CGgy0tC2PZwTtynTp0Cpr0L/DQDyFMA6JYKlKqYuOMRzQWBBEZACDvE5OkCk8Br4j/VT50EvngTWDYbyFcY6JYGlCjni6HJIASBRERAl5fEwk7EWbej88mTwOevAz9/C+QvCnRPA4qdZedNeUYQEARihIAQtljYZyJw4riRF2T1D0DB4kD3AUCRUjFagtKsICAI2EVACNsNwqZf+Jd5wKIvgT3bgULFgXrNgRqN3K91SLIeNxhYtwgoXMoga+onIggIAq4jIIQdb8ImWX/6ErB6AXD61L+9ZzFycVRvANzU2z3SPn4UGDMI+G0pUPQsg6wLFHF9kYoCgoAgYCAghB1vwl4xF5j4uoWsLQpkSQHa3AfUbBL/9XnsiFEl5vefgRLljQPGfIXir4f0KAgIAiEREMKON2F/8BiwcW2oXoFy5wI9B8Z3yR45BIx6BvhrtRGy1zUVyFsgvjpIb4KAIBAWASHseBP2Sz2B/btCT0z+IkDvD8JOXNQeOHwQ+GQA8Pc6oExl41JM7nxRa14aEgQEgeghIIQdb8JWFvY6AMEqsmeJr4V9aB8wIg34Z4NxzbxzXyBXnuitLmlJEBAEooqAEHa8CTtaPmzdSJMDe4DhqcC2P4EKNYysezlzR3VxSWOCgCAQXQSEsONN2BmiRGhl80+EUSK6kSb7dgHD+wE7/gbOqQ20fwzIkTO6K0taEwQEgagjIIQdb8Jmf+nW8XRgzzagUAmg3rX247B1rPS9O4Bh/YBd/wBVLwLaPQxkzxH1hSUNCgKCQPQREMJ2g7B159FppMnurQZZc5NgzDdrMGbLrquNvC8ICAJxQkAIOxEJ20mkyc7NBlnv22lY8m3uB7JmjdMyk24EAUEgGggIYSciYUcaabJtIzC8P3BgN1D7CqDVXUCKkHU0fkDShiAQTwSEsBORsCPxYW/5wyBrhvDVbQa0uMO9q+/xXNnSlyDgQwSEsBORsO1Gmmz+DRiRChw+AFzcAmje08hZIiIICAIJiYAQdiISNnUOF2myaZ1xKeboIeCS1sDV3YWsE/InKkoLAv8hIISdqISd2Sr+cxUw8mmACZ0atwOadhSyll+9IOADBISw/UbYG1YYWfeYKrVpJ6BJOx8sUxmCICAIEAEhbD8R9q9LgLGDgBPHDBfIpTfIKhcEBAEfISCE7RfCXrMQGD8YOHkCaN4LqH+dj5apDEUQEATEws5kDejuZHFdXiu/Bya8bBxEtrwTuKhZXLuXzgQBQSA+COjyklRNj888he7FjMnmE63vNi7GiAgCgoAvERDCTmSXyJKZwBdvGhEgNz4AXNDIl4tUBiUICAIGAkLYiUrYi6YDU98BUrIB7XobyZxEBAFBwNcICGEnImH/MBmY8SGQNTvQ/hEjTaqIICAI+B4BIexEI+zvPgNmjgCy5QA6PA5Uru37RSoDFAQEAXGJZLoGdHeyqC+w06eBueOAOWOA7LmATk8CFWtEvRtpUBAQBLyLgC4vSZRIPOaWZD17JDBvApAjN9ClL1C+ejx6lj4EAUHAQwgIYXvdJUKy/upj4IcvgFx5gS79gLJVPbSERBVBQBCIFwJC2F4mbF6E+fI9gBEhufMD3VKB0pXitTakH0FAEPAYAkLYXiXsUyeBKW8DjLXOWxDolgaUPNtjy0fUEQQEgXgiIITtRcI+eRKYNBRYMQfIX8Qg6+Jl47kupC9BQBDwIAJC2F4jbCZv+uxVYOV8oGBxoHsaUKS0B5eOqCQICALxRkAI20uEfeI4MP5FYO1CoHBJoPsAoFCJeK8J6U8QEAQ8ioAQtlcImwUHxr4ArF8CFC1juEEKFvPoshG1BAFBwA0EhLC9QNgs5TXmeWDDcqB4OYOs8xd2Yz1In4KAIOBhBISw3Sbso4eBUc8ArMNYsoIRuseoEBFBQBAQBAIQEMJ2k7CPHAQ+eRrYtBYoU9m4FJMnvyxSQUAQEASCIiCE7RZhH9oPfDIA2LweKHuucd2cNxlFBAFBQBCIES9JLhEnS+vgXmB4KrD1D+Ds84BOTwE5cztpSd4RBASBJEJALOwY7WQh19D+3cDw/sD2jUClWkaK1Bw5k2jJyVAFAUHAKQJC2PEk7L07DLLeuRmoUhe4+REgew6ncyfvCQKCQJIhIIQdL8LevQ0Y1g/YsxWoVh+4qTeQLXuSLTcZriAgCOggIIQdD8Le+Y9hWe/dDpx/qVEwN2s2nXmTdwUBQSAJERDCjjVhb99kkPX+XUDNy4HW9wBZsybhUpMhCwKCgC4CQtixJOytfxpkzaiQOlcBLe8EUoSsdRetvC8IJCsCviTsPXv24NFHH8XEiRNx4MABXHjhhRg4cCAaN25se551gcE/G4zQvcP7gXrNgea3ASkptvuXBwUBQUAQCERAl5c8F4d9+vRpNGnSBGvXrsXgwYNRpkwZDBkyBDNmzMD8+fNRt25dW6tAC5hN64xLMbzJ2LAV0OwWIEsWW/3KQ4KAICAIhEJAi5dAGjKIKMtpMqUHZNKkSbjhhhswbdo0NG/eXGl07NgxnH/++ahSpYr6ezviGJi/VhvXzY8dBhq1Ba7oLGRtB3B5RhAQBMIi4JiX/m3Zc4Tds2dPTJ48Gdu2bcsw+L59+2LQoEGguyRPnjyxAeb3X4BRzwLHjwBNOwJNbg7bjzwgCAgCgoBdBHxH2A0aNFCEPHv27AwYjB07Fh06dMCyZctQq1atsPhEDMz6ZcCYgcCJY8BV3YDL2oTtQx4QBAQBQSASBCLmpYDGPWdhV61aFTVr1sSnn36aQdWvv/4azZo1U0TetGnTsBhFBMzaRcC4FwCW97q2B9Dg+rDtywOCgCAgCESKQES8FKRxzxE2/dS1a9fG+PHjIyLs1NRUpKWlZXjHtlv+8yHAstlAizuAetdGOgfyvCAgCAgCthDwHWG74hJhlfM/VwKVatoCXR4SBAQBQcAJAr4jbB46TpkyBVu3bs2AR79+/fD8889j7969yJ07fCpTXWCcTIa8IwgIAoJAZgjo8pLnXCJffPEFWrdujenTp+Oaa65RYz9+/Hh6WN/UqVNtrQhdYGx1Ig8JAoKAIBABArq85DnCNi/O/Prrr3jhhRdQunRpDB06VBF43C7ORDAB8qggIAgIAnYR8B1hc+Dm1fTPPvss/Wo63SFxvZpudwbkOUFAEBAEbCLgS8K2OfZMH9MFJho6SBuCgCAgCFgR0OUlz7lEojW9usBESw9pRxAQBAQBEwFdXhLClrUkCAgCgkCcEBDCDgG0LjBxmj/pRhAQBJIIAV1eEgs7iRaLDFUQEATcRUAIWyxsd1eg9C4ICAK2ERDCFsK2vVjkQUFAEHAXASHsTAjb3amR3gUBQUAQOBMB20npgoDnWx92pAtFd+eLtL9Eel6wCT5bgkvoVSzYxGbNCGH/i6ssMPnxRbqJypqRNRPvNSOELYQdds0JMcXGWgoLfAI/IGsmNmtGCPtfXFkAgX9EzkRAsAm+KgSX0L8WwSY2a0YIWxhaEBAEBIEEQUAIO0EmStQUBAQBQUAIW9aAICAICAIJgkBSE7aZd3vixInpebcHDhwYUd7tBJnniNTctGmTKh7x008/YdmyZTh8+DBWr16NatWqRdSO3x6eMGECxo4di0WLFmHLli0oU6YMrr32WvTv3x8lSpTw23AjGs/MmTPB386qVauwa9cuFClSBBdddBGeeuop1K9fP6K2/P5wjx498NFHH6F9+/YYM2ZMRMNNWsI2K9usXbsWgwcPVj++IUOGYMaMGRFVtokI7QR5eM6cOWox1a1bF8SJ1X6EsAEWiOY6adOmDcqXLw+uHR6u5cqVC8uXL0f+/PkTZIajryY3sh9//BENGzZUmxc3tFdeeQVLlizBvHnzhLT/hZy/rZYtWyJr1qxo3ry5ELbdpThp0iTccMMNmDZtmgKOcuzYsfTakfz7ZJVTp04hJSVFDf/jjz/GrbfeKoQNYPv27ShevHiGZTF37lxcfvnlePfdd9GrV69kXTJBx71v3z4UK1YMLKz91ltvJT02R48eRc2aNUELm3jQABAL2+ay4CKaPHkytm3bluGNvn37YtCgQapMWZ48eWy25t/HhLAzn9tDhw4hb9686NevH9LS0vy7EByMjF9nhQoVQvfu3fH66687aMFfr9A99Pnnn2Pp0qWoUqWKEHYk08vdjYQ8e/bsDK/x065Dhw7Kd1urVq1ImvTls0LYmU8rv8RatGiB0aNHq3WT7HLy5EnwC+2ff/5R5yDDhw/H999/jxo1aiQ1NCtXrlQuRvr6L7vsMlSoUEEIO5IVUbVqVfV58umnn2Z47euvv0azZs0UkTdt2jSSJn35rBB26GnlJ3+9evXAW30rVqxAjhw5fLkGIhkUyWj+/PnqlZIlS6rfF/8umYVfGpdeeimqV6+ODz74QEEhhB3hiuAnSe3atTF+/Hgh7EywE8IODg7PO66//nosWLBAHapx8xeBOojdu3cv/v77b7z//vv49ttvleuRfv5klTfeeEMdTq9ZswZFixYVwnayEMQlYg81IewzcTpx4gRuvvlmFT3DP40bN7YHZpI9RdcIo0Z42EYXYzLKjh07cM4552DAgAHKl28KN3h+ndHi5hlI9uzZbcGTtGF9PHScMmUKtm7dmgEoHh49//zzykrInTu3LRD9/JAQdsbZpY+2S5cu+Oyzz8BII8Zhi4RG4O6778aHH36oYvmTUbhRXXjhhZkOPZLzj6Ql7C+++AKtW7dWFtI111yjAD1+/Hh6WN/UqVOTcX2dMWYh7P8gocXIEMdRo0Zh3LhxKh5bJDQC/BLh5Rlucj///HNSQnXgwAF1AS1QeEB93nnnqegi/q/di1dJS9jmxZlff/1VnWaXLl0aQ4cOVQTOQxOe6CazmIexDPSnD+61115Tl0b4+WbGrScbPrQW33zzTTzwwAPqYpFVGJ/NT99kFd5p4JkQI6t4y3Hjxo1477338N1336mvERpHIv8hIIeODlaDeTWdC4o7IT9d6A4RnyRU5EMwOfvss/HHH384QDvxX+GP7M8//ww6EPon+TWSrMK7C9zkf/vtN+zfv1+RNv3Xffr0SfookWBrQgg7WX8pMm5BQBBIGgSS1iWSNDMsAxUEBAHfICCE7ZuplIEIAoKA3xEQwvb7DMv4BAFBwDcICGH7ZiplIIKAIOB3BISw/T7DMj5BQBDwDQJC2L6ZShmIICAI+B0BIWy/z7CMTxAQBHyDgBC2b6ZSBiIICAJ+R0AI2+8zLOOzhQCT7Ddq1EjlvGBuB4qZR+Wbb76Ja3pQt/q1A1Qw3VhQ9qGHHlK3HHnDUSR2CAhhxw7bhGiZxWOZA4LCvCqVK1cOqXckz7IRXv1n7TqWRWIuYGZsY42/OnXqoG3btujcubNnkv5fcsklqrCutcaeW8QZrl9mCGRiJVYvibcE0426nHvuuapG6ksvvRRvlZKqPyHspJruMwfLREZMaMQf3ZNPPomnn346JCKRPMvE/jfeeCOYD5hVomm9FixYUCW2Z4ItWrT33nuvJ2r90YK+4oorVKIiVgYxJRxxxmrpZNYvc95w02PCsvvuuy9WKoRsN5Ru1Kd///6qNBjrOIrEBgEh7NjgmhCtMp3sWWedpZL07N69WyU2YmKnYImfInl2yZIligD5eTxx4sSgtTFZio05x2+66SbXsWKqS24wv//+e4axe5GwmWCpXbt2SlcmEIq3hMLkr7/+Uvqw2O4999wTb7WSpj8h7KSZ6jMHygT8/Ixl4WG6L+644w7MmjVLkW2g2H2WxE4XC9Nrsjq011OOUl9ahF27dsXbb7+dYdjByIk5se+66y6VOpRfJsSMwurptDKJJck0X758qmzY448/jquvvlo9s2XLFvUMXRncGPlVw+K0vXv3zpCuNbONgnqyfiTdUxTzWW6ATIVLfzLnknUUqSPdPEOGDFHpcTdt2qQ2z3ffffeMTZS6sao388Dv2rUL5cqVUy4rfnVZa1Vmptv5558PppmlHiKxQUAIOza4JkSrTMDPYsOsukP/cqlSpRRxsNJ1oNh9liTGvNFMt/nII494Hgda1vzCYP1BViGySiA5sY4jq81w8xoxYoQqE0Y5cuSIKthsuoFYv5DP/vjjj6hYsaLCgkKivvPOO1XhA25kTEP6ySefKAJme2zbSsKBh50sBMBE99wwTNeVqSPPBXLlyqXmj24J+pK5YdAaHzZsGHr06KF0YvpgulR4XpE1a1bVH7+u+D4JnfqxWCzXxYQJE5Q7i8U+zK+uzAibfbB6Cr+cpCBxbJa+EHZscPV8q/QtsyABrShaZRQSyVdffaUswfz586ePIZJnWSuTLhG2YY0YYF0/EpRV+O8pKSmuYsXyVSRqEhRJNxRhs3IK8fnhhx9UQv5mzZqlP/rcc88pS5QkyWgJq7BQhkl23BRJqlaXE3ExD31Xr16dKWHPnTtXRassWrRIVXKxkjtxpw/eJOFHH31UWfN0ebFdcz75FfG///0P06ZNSy9EYT7LzYPrwRSeMbCoBw+NzQIEmRH2s88+q6x09letWjVX59WvnQth+3Vmw4yLvsb7779fWX1XXnmlepoWFX3KJDGWwjLF7rM8ECMxXHzxxcq6tMrAgQPxxBNPpP8VSYuWmHVjcGMqSGokLLpvTOI09TDJiX5jPrd+/XpFdPXr18+gKi3ZnTt3gn5ckzDDjYVW+cGDB0FC79u3r3LH7Nu3T+ERihS5GdDlQks40OJlMVdauKaQZLnBPPzww0p3U8wag5xTEjKFFjU3k0Af/ubNmxXhcy1wTVg3iGChjuZmwErpPGQWiT4CQtjRxzQhWuQnMF0h9DWbVi6tPbpFSEC05kyx+ywtK8Yw8xCPn8ZWYVgfiYbSrVs35eNdt25d+iMkrwIFCpxR+JgkRHKJlZiEza+CwGKpJnGSROmjZm2+QFKnXizWzCpFM2bMyFRN+svpyqDLKVjlGv4dfc6hCLtKlSpqc7X62s1nrRsvlaAfmV8MtJDpojKFvnO6aVJTU1VUB4VWP5/98ssvz9Cf/n3iQoIOR9imO2zevHlSZSZGC1YIO0bAerlZXg4hKfOw68UXX8ygaq9evUBrjdZkpUqV1EUSu8+acdr0m7JIbTChJUcCZMif9RmG+V111VWqVFs83SR0B3FTCCQ8Kznx30mM5gFttmzZMgzNLmGbNSHpq2YsNX3JtMipAwv7mpEfwQh71apVqkC01ZWRGYGahM04ePqlAwmbZE3StkPY3LDpMgpH2KZLhJsz47JFoo+AEHb0MfV8iyTql19+WfmaA61K009q/qAjeZaf9PRL0xI0/bGBYND/SpcJ/b6MoDCFliA3Cromggl9xHSzmJdFXn31VXVQSL8trUC6LdjmBRdcoCJdeMDGwz6raydYu2yT/l9arWbEh/mclThpmdLXzY2GXw9W0uaGxsgKWsiZuUQKFy6sojMCoyg6deqk2syMsOlS4vh4npAzZ870oYSyxiMhbLpE6KLZsGFDBv86Dy95zmHXJXLLLbeoTZhRKnLoGBsaEMKODa6ebZWhZGXLllXESqstUOhTZTwtiWft2rUqvMvOs7yWTL8qD6cYVcDQMVrrgcIK7IzT5ec3rUxTSIYkjZEjRwbFjv5uWvyM6962bZv6OmB1e46F0q9fPxUBwX5JgCSO22+/Xbl9MvOTm2F9dONww7BKIBnSj3vbbbepyAtaxCY5m5blK6+8oiqqW8V66EiLmlay1d3EaA0SPseeGWEzkoXkyXOGzHQ0/y0SwjYPHblpEAdTeMZBd5TdQ0eOrWTJkunWuGd/BAmsmBB2Ak+eE9UnT56MVq1aqRt9DNkKJiQF+mtJvHafNQ+hePDGtumvvv7665Uvk5Yl/z9JhAdS/FHT1cKYXVP42U2r3Go9MhLD6jahv5kharRmaWmTIEyhu4KbC2OOKSRK+mYXL16sYp0zk44dOyryp4VsjeAIZr2S1LkRMXyOURUkbZItfdj8euChLf+bIXgLFy5UPmluJBS+x68CbiiM9mB/9Ptyg+SXRSjC5qZDsqbrhP7/aBM28axbt666hcoIErozOFfjx49HixYtwDUTLqzPvDhD/K0+cydrVN4JjYAQdpKtDhJKoJUWCgLm+7D7bPfu3ZWfl7J9+3bljiDh84dMnzQJh6TADYDtkkxNofuCVjAP7UhkoYQkzUsodIfQ+rMKrW+SuRmdwM9ybhQML+QGkZmYV9NJUk2aNEl/NJS7gRdS6D4h0fMAkaTNQ1O6LLjBkIh5DZ/uj8cee0z55in0z9MNxLBAkiRD3/jv3KjS0tJCEjZJnn5oEnfRokWjTthskO6PwIsz9LUzsseOC4abKX3ijCyRq+mxIxUh7NhhKy3bRIDWJcmcJMtIkWDCgyzewORXAf3OfMc8nCQR8j26cOg/p5Dk6B6hlWtHmPyJIWy0Kr0m3OSIDb9OvCiS/Cl+syKEHT+spacQCNA3TAuNpBxMaP2RUHnwxi8EWqa05sybgYwwoRuC8cy0EuneoMuCfubAyzChJoHvsA3eOrS6WrwwacSGG5oZL+8Fnaw6SHrV+M2IEHb8sJaeQiDACxwMP7O6SfgoLWn6gOnmIDn36dNHtcBr3IxioUWdPXt2FeFB65N+Y4a90SdMkmvevLlgLgj4CgEhbF9NZ3IOhrk1SOz0B4sIAn5GQAjbz7ObJGNjJAoTTdHXKyII+BkBIWw/z26SjI1RCQxDzKxaTpJAIcP0OQJC2D6fYBmeICAI+AcBIWz/zKWMRBAQBHyOgBC2zydYhicICAL+QUAI2z9zKSMRBAQBnyMghO3zCZbhCQKCgH8QEML2z1zKSAQBQcDnCAhh+3yCZXiCgCDgHwSEsP0zlzISQUAQ8DkCQtg+n2AZniAgCPgHASFs/8yljEQQEAR8jkA6Yft8nDI8QUAQEAR8g0AW34xEBiIICAKCgM8R+D/p2/VqREqldAAAAABJRU5ErkJggg==\" 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      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "model.fit(physorg_react_desc[:,sel_index],ddG)\n",
    "ext_pred = model.predict(ext_physorg_desc[:,sel_index])\n",
    "\n",
    "ext_r2 = r2_score(ext_ddG,ext_pred)\n",
    "ext_mae = mean_absolute_error(ext_ddG,ext_pred)\n",
    "ext_pearson_r = pearsonr(ext_ddG,ext_pred)[0]\n",
    "\n",
    "plt.figure(figsize=(4.5,4.5))\n",
    "\n",
    "plt.scatter(ext_ddG,ext_pred,c='coral')\n",
    "\n",
    "plt.text(0,3.6,'$R^2$: %.3f'%ext_r2,fontsize=14)\n",
    "plt.text(0,3.25,'Pearson R: %.3f'%ext_pearson_r,fontsize=14)\n",
    "plt.text(0,2.9,'MAE: %.3f kcal/mol'%ext_mae,fontsize=14)\n",
    "\n",
    "plt.plot([0,ddG.max()],[0,ddG.max()],c='coral')\n",
    "plt.xlabel('$\\Delta$$\\Delta$$G_E$$_x$$_p$ (kcal/mol)',fontsize=14)\n",
    "plt.ylabel('$\\Delta$$\\Delta$$G_M$$_L$ (kcal/mol)',fontsize=14)\n",
    "plt.xticks([0,1,2,3,4],list(map(str,[0,1,2,3,4])),fontsize=13)\n",
    "plt.yticks([0,1,2,3,4],list(map(str,[0,1,2,3,4])),fontsize=13)\n",
    "plt.tick_params(bottom='on',left='on')\n",
    "\n",
    "plt.tight_layout()"
   ]
  }
 ],
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