Showcase.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import sqlite3\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt \n",
    "from sklearn.metrics import confusion_matrix, f1_score\n",
    "import numpy as np\n",
    "from utils.helpers import int2atom, atom2int\n",
    "import seaborn as sn\n",
    "from tqdm import tqdm\n",
    "#import dask.dataframe as dd\n",
    "#import dask"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib notebook"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "  0%|          | 0/62 [00:00<?, ?it/s]/zhome/9e/8/130993/.local/lib/python3.7/site-packages/sklearn/metrics/classification.py:1437: UndefinedMetricWarning: F-score is ill-defined and being set to 0.0 in labels with no predicted samples.\n",
      "  'precision', 'predicted', average, warn_for)\n",
      "/zhome/9e/8/130993/.local/lib/python3.7/site-packages/sklearn/metrics/classification.py:1439: UndefinedMetricWarning: F-score is ill-defined and being set to 0.0 in labels with no true samples.\n",
      "  'recall', 'true', average, warn_for)\n",
      "100%|██████████| 62/62 [15:44<00:00, 15.24s/it]\n"
     ]
    }
   ],
   "source": [
    "conn = sqlite3.connect(\"/work1/s180213/results_qm9.db\")\n",
    "models = conn.execute(\"select distinct model_id from models where model_name_short not like '%(%'\").fetchall()\n",
    "\n",
    "\n",
    "results_mask = pd.DataFrame()\n",
    "results_length = pd.DataFrame()\n",
    "\n",
    "for model in tqdm(models):\n",
    "    df = pd.read_sql_query(f\"\"\"select\n",
    "                             case\n",
    "                                 when target=prediction then 1\n",
    "                                 else 0\n",
    "                             end as accuracy,\n",
    "                             case \n",
    "                                when target=prediction then 1 \n",
    "                                when (target=0 \n",
    "                                        or target=4\n",
    "                                        or target=7\n",
    "                                        or target=8\n",
    "                                        or target=9) \n",
    "                                    and (prediction=0 \n",
    "                                        or prediction=4\n",
    "                                        or prediction=7\n",
    "                                        or prediction=8\n",
    "                                        or prediction=9) then 1\n",
    "                                when (target=2 or target=6) and (prediction=2 or target=6) then 1\n",
    "                                when (target=3 or target=5) and (prediction=3 or prediction=5) then 1\n",
    "                              \n",
    "                                else 0\n",
    "                           end as accuracy_octet,\n",
    "\n",
    "                    case \n",
    "                        when (target=0 \n",
    "                                        or target=4\n",
    "                                        or target=7\n",
    "                                        or target=8\n",
    "                                        or target=9) \n",
    "                                    and (prediction=0 \n",
    "                                        or prediction=4\n",
    "                                        or prediction=7\n",
    "                                        or prediction=8\n",
    "                                        or prediction=9) then target\n",
    "                                when (target=2 or target=6) and (prediction=2 or target=6) then target\n",
    "                                when (target=3 or target=5) and (prediction=3 or prediction=5) then target\n",
    "                        \n",
    "                        \n",
    "                        else prediction\n",
    "                    end as prediction_octet,\n",
    "                    prediction,\n",
    "                    target, cross_entropy,num_masks, predictions.model_id, model_name_short, length \n",
    "                          from predictions, models, molecules\n",
    "                          where predictions.model_id=models.model_id \n",
    "                          and predictions.molecule_id=molecules.molecule_id\n",
    "                          and predictions.model_id ='{model[0]}'\n",
    "                           \"\"\", conn)\n",
    "\n",
    "    f1_mask = df \\\n",
    "                    .groupby(['num_masks','model_id', 'model_name_short']) \\\n",
    "                    .apply(lambda df:pd.Series({\n",
    "                        'f1 micro':f1_score(df.target, df.prediction, average='micro'),\n",
    "                        'f1 macro':f1_score(df.target, df.prediction, average='macro'),\n",
    "                        'f1 micro (octet)':f1_score(df.target, df.prediction_octet, average='micro'),\n",
    "                        'f1 macro (octet)':f1_score(df.target, df.prediction_octet, average='macro')\n",
    "                        }\n",
    "                        )\n",
    "                     ) \\\n",
    "                    #.groupby(['model_name_short','num_masks']) \\\n",
    "                    #.agg(['mean','std'])\n",
    "\n",
    "    f1_length = df[df['num_masks']==1]\\\n",
    "                    .groupby(['model_id', 'model_name_short','length']) \\\n",
    "                    .apply(lambda df:pd.Series({\n",
    "                        'f1 micro':f1_score(df.target, df.prediction, average='micro'),\n",
    "                        'f1 macro':f1_score(df.target, df.prediction, average='macro'),\n",
    "                        'f1 micro (octet)':f1_score(df.target, df.prediction_octet, average='micro'),\n",
    "                        'f1 macro (octet)':f1_score(df.target, df.prediction_octet, average='macro')\n",
    "                        }\n",
    "                        )\n",
    "                     ) \\\n",
    "                    #.groupby(['model_name_short', 'length'])\\\n",
    "                    #.agg(['mean','std'])\n",
    "\n",
    "    model_df = df.groupby(['num_masks','model_id', 'model_name_short']).mean()\n",
    "    model_df['pp'] = np.exp(model_df['cross_entropy'])\n",
    "    #model_df = model_df.groupby(['model_name_short', 'num_masks']).agg(['mean','std'])[['accuracy','accuracy_octet','pp']]\n",
    "    #model_df\n",
    "\n",
    "    result_mask = pd.concat([f1_mask, model_df],axis=1)\n",
    "    results_mask = results_mask.append(result_mask)\n",
    "    results_length = results_length.append(f1_length)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
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       "\n",
       "    .dataframe tbody tr th {\n",
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       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th colspan=\"2\" halign=\"left\">accuracy_octet</th>\n",
       "      <th colspan=\"2\" halign=\"left\">f1 micro (octet)</th>\n",
       "      <th colspan=\"2\" halign=\"left\">f1 macro (octet)</th>\n",
       "      <th colspan=\"2\" halign=\"left\">f1 micro</th>\n",
       "      <th colspan=\"2\" halign=\"left\">f1 macro</th>\n",
       "      <th colspan=\"2\" halign=\"left\">pp</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th>mean</th>\n",
       "      <th>std</th>\n",
       "      <th>mean</th>\n",
       "      <th>std</th>\n",
       "      <th>mean</th>\n",
       "      <th>std</th>\n",
       "      <th>mean</th>\n",
       "      <th>std</th>\n",
       "      <th>mean</th>\n",
       "      <th>std</th>\n",
       "      <th>mean</th>\n",
       "      <th>std</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>model_name_short</th>\n",
       "      <th>num_masks</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <td rowspan=\"7\" valign=\"top\">Bag-of-atoms</td>\n",
       "      <td>1</td>\n",
       "      <td>0.657674</td>\n",
       "      <td>0.044765</td>\n",
       "      <td>0.657674</td>\n",
       "      <td>0.044765</td>\n",
       "      <td>0.442965</td>\n",
       "      <td>4.915856e-02</td>\n",
       "      <td>0.657569</td>\n",
       "      <td>0.044759</td>\n",
       "      <td>0.279859</td>\n",
       "      <td>2.577884e-02</td>\n",
       "      <td>3.310356</td>\n",
       "      <td>0.477642</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>5</td>\n",
       "      <td>0.545109</td>\n",
       "      <td>0.005824</td>\n",
       "      <td>0.545109</td>\n",
       "      <td>0.005824</td>\n",
       "      <td>0.357414</td>\n",
       "      <td>4.125607e-02</td>\n",
       "      <td>0.545054</td>\n",
       "      <td>0.005816</td>\n",
       "      <td>0.235563</td>\n",
       "      <td>2.191183e-03</td>\n",
       "      <td>2.895072</td>\n",
       "      <td>0.014413</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>10</td>\n",
       "      <td>0.482908</td>\n",
       "      <td>0.010603</td>\n",
       "      <td>0.482908</td>\n",
       "      <td>0.010603</td>\n",
       "      <td>0.251826</td>\n",
       "      <td>6.786753e-02</td>\n",
       "      <td>0.482893</td>\n",
       "      <td>0.010581</td>\n",
       "      <td>0.209278</td>\n",
       "      <td>4.408759e-03</td>\n",
       "      <td>2.991990</td>\n",
       "      <td>0.009216</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>15</td>\n",
       "      <td>0.452783</td>\n",
       "      <td>0.012977</td>\n",
       "      <td>0.452783</td>\n",
       "      <td>0.012977</td>\n",
       "      <td>0.217836</td>\n",
       "      <td>5.126457e-02</td>\n",
       "      <td>0.452776</td>\n",
       "      <td>0.012965</td>\n",
       "      <td>0.193644</td>\n",
       "      <td>4.593221e-03</td>\n",
       "      <td>3.026982</td>\n",
       "      <td>0.010645</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>20</td>\n",
       "      <td>0.455341</td>\n",
       "      <td>0.024166</td>\n",
       "      <td>0.455341</td>\n",
       "      <td>0.024166</td>\n",
       "      <td>0.202352</td>\n",
       "      <td>3.549180e-02</td>\n",
       "      <td>0.455335</td>\n",
       "      <td>0.024158</td>\n",
       "      <td>0.178160</td>\n",
       "      <td>1.879329e-02</td>\n",
       "      <td>2.996421</td>\n",
       "      <td>0.010224</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>25</td>\n",
       "      <td>0.457350</td>\n",
       "      <td>0.022423</td>\n",
       "      <td>0.457350</td>\n",
       "      <td>0.022423</td>\n",
       "      <td>0.203326</td>\n",
       "      <td>3.457825e-02</td>\n",
       "      <td>0.457344</td>\n",
       "      <td>0.022415</td>\n",
       "      <td>0.179134</td>\n",
       "      <td>1.858919e-02</td>\n",
       "      <td>2.990084</td>\n",
       "      <td>0.010089</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>30</td>\n",
       "      <td>0.457351</td>\n",
       "      <td>0.022423</td>\n",
       "      <td>0.457351</td>\n",
       "      <td>0.022423</td>\n",
       "      <td>0.203326</td>\n",
       "      <td>3.457817e-02</td>\n",
       "      <td>0.457345</td>\n",
       "      <td>0.022415</td>\n",
       "      <td>0.179134</td>\n",
       "      <td>1.858918e-02</td>\n",
       "      <td>2.990070</td>\n",
       "      <td>0.010088</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td rowspan=\"7\" valign=\"top\">Bag-of-atoms_old</td>\n",
       "      <td>1</td>\n",
       "      <td>0.633181</td>\n",
       "      <td>0.008900</td>\n",
       "      <td>0.633181</td>\n",
       "      <td>0.008900</td>\n",
       "      <td>0.455725</td>\n",
       "      <td>8.582837e-03</td>\n",
       "      <td>0.633098</td>\n",
       "      <td>0.008898</td>\n",
       "      <td>0.265127</td>\n",
       "      <td>5.136535e-03</td>\n",
       "      <td>3.477910</td>\n",
       "      <td>0.641446</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>5</td>\n",
       "      <td>0.541166</td>\n",
       "      <td>0.012818</td>\n",
       "      <td>0.541166</td>\n",
       "      <td>0.012818</td>\n",
       "      <td>0.282397</td>\n",
       "      <td>2.432634e-02</td>\n",
       "      <td>0.541150</td>\n",
       "      <td>0.012812</td>\n",
       "      <td>0.234387</td>\n",
       "      <td>4.355072e-03</td>\n",
       "      <td>2.880415</td>\n",
       "      <td>0.021067</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>10</td>\n",
       "      <td>0.471428</td>\n",
       "      <td>0.013770</td>\n",
       "      <td>0.471428</td>\n",
       "      <td>0.013770</td>\n",
       "      <td>0.204550</td>\n",
       "      <td>4.692324e-03</td>\n",
       "      <td>0.471428</td>\n",
       "      <td>0.013770</td>\n",
       "      <td>0.204550</td>\n",
       "      <td>4.692324e-03</td>\n",
       "      <td>2.999818</td>\n",
       "      <td>0.021697</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>15</td>\n",
       "      <td>0.449884</td>\n",
       "      <td>0.005789</td>\n",
       "      <td>0.449884</td>\n",
       "      <td>0.005789</td>\n",
       "      <td>0.195117</td>\n",
       "      <td>2.216153e-03</td>\n",
       "      <td>0.449884</td>\n",
       "      <td>0.005789</td>\n",
       "      <td>0.195117</td>\n",
       "      <td>2.216153e-03</td>\n",
       "      <td>3.023045</td>\n",
       "      <td>0.007995</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>20</td>\n",
       "      <td>0.452143</td>\n",
       "      <td>0.010133</td>\n",
       "      <td>0.452143</td>\n",
       "      <td>0.010133</td>\n",
       "      <td>0.192356</td>\n",
       "      <td>3.182557e-03</td>\n",
       "      <td>0.452143</td>\n",
       "      <td>0.010133</td>\n",
       "      <td>0.192356</td>\n",
       "      <td>3.182557e-03</td>\n",
       "      <td>2.988779</td>\n",
       "      <td>0.007419</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>25</td>\n",
       "      <td>0.453182</td>\n",
       "      <td>0.010056</td>\n",
       "      <td>0.453182</td>\n",
       "      <td>0.010056</td>\n",
       "      <td>0.192554</td>\n",
       "      <td>3.035227e-03</td>\n",
       "      <td>0.453182</td>\n",
       "      <td>0.010056</td>\n",
       "      <td>0.192554</td>\n",
       "      <td>3.035227e-03</td>\n",
       "      <td>2.982963</td>\n",
       "      <td>0.007136</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>30</td>\n",
       "      <td>0.453183</td>\n",
       "      <td>0.010056</td>\n",
       "      <td>0.453183</td>\n",
       "      <td>0.010056</td>\n",
       "      <td>0.192554</td>\n",
       "      <td>3.035033e-03</td>\n",
       "      <td>0.453183</td>\n",
       "      <td>0.010056</td>\n",
       "      <td>0.192554</td>\n",
       "      <td>3.035033e-03</td>\n",
       "      <td>2.982958</td>\n",
       "      <td>0.007134</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td rowspan=\"7\" valign=\"top\">Bag-of-neighbors</td>\n",
       "      <td>1</td>\n",
       "      <td>0.906673</td>\n",
       "      <td>0.000026</td>\n",
       "      <td>0.906673</td>\n",
       "      <td>0.000026</td>\n",
       "      <td>0.771843</td>\n",
       "      <td>2.161232e-05</td>\n",
       "      <td>0.906582</td>\n",
       "      <td>0.000026</td>\n",
       "      <td>0.571825</td>\n",
       "      <td>2.161232e-05</td>\n",
       "      <td>1.281443</td>\n",
       "      <td>0.004071</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>5</td>\n",
       "      <td>0.902063</td>\n",
       "      <td>0.000011</td>\n",
       "      <td>0.902063</td>\n",
       "      <td>0.000011</td>\n",
       "      <td>0.750340</td>\n",
       "      <td>7.172464e-06</td>\n",
       "      <td>0.901952</td>\n",
       "      <td>0.000011</td>\n",
       "      <td>0.550317</td>\n",
       "      <td>7.172464e-06</td>\n",
       "      <td>1.299405</td>\n",
       "      <td>0.003796</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>10</td>\n",
       "      <td>0.900024</td>\n",
       "      <td>0.000002</td>\n",
       "      <td>0.900024</td>\n",
       "      <td>0.000002</td>\n",
       "      <td>0.729649</td>\n",
       "      <td>9.073047e-07</td>\n",
       "      <td>0.899928</td>\n",
       "      <td>0.000002</td>\n",
       "      <td>0.529630</td>\n",
       "      <td>9.073047e-07</td>\n",
       "      <td>1.316750</td>\n",
       "      <td>0.004553</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>15</td>\n",
       "      <td>0.901626</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.901626</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.720265</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.901547</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.520250</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>1.328959</td>\n",
       "      <td>0.006607</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>20</td>\n",
       "      <td>0.907112</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.907112</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.721724</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.907044</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.521710</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>1.320278</td>\n",
       "      <td>0.007948</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>25</td>\n",
       "      <td>0.907710</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.907710</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.721936</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.907643</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.521923</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>1.318521</td>\n",
       "      <td>0.007975</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>30</td>\n",
       "      <td>0.907711</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.907711</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.721936</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.907644</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.521923</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>1.318517</td>\n",
       "      <td>0.007975</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td rowspan=\"7\" valign=\"top\">Bag-of-neighbors_old</td>\n",
       "      <td>1</td>\n",
       "      <td>0.937759</td>\n",
       "      <td>0.002667</td>\n",
       "      <td>0.937759</td>\n",
       "      <td>0.002667</td>\n",
       "      <td>0.879707</td>\n",
       "      <td>6.102372e-03</td>\n",
       "      <td>0.937668</td>\n",
       "      <td>0.002667</td>\n",
       "      <td>0.679689</td>\n",
       "      <td>6.102373e-03</td>\n",
       "      <td>1.159262</td>\n",
       "      <td>0.004340</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>5</td>\n",
       "      <td>0.929273</td>\n",
       "      <td>0.003217</td>\n",
       "      <td>0.929273</td>\n",
       "      <td>0.003217</td>\n",
       "      <td>0.860234</td>\n",
       "      <td>7.569469e-03</td>\n",
       "      <td>0.929161</td>\n",
       "      <td>0.003217</td>\n",
       "      <td>0.660212</td>\n",
       "      <td>7.569470e-03</td>\n",
       "      <td>1.179000</td>\n",
       "      <td>0.005841</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>10</td>\n",
       "      <td>0.925468</td>\n",
       "      <td>0.003447</td>\n",
       "      <td>0.925468</td>\n",
       "      <td>0.003447</td>\n",
       "      <td>0.849665</td>\n",
       "      <td>8.360717e-03</td>\n",
       "      <td>0.925372</td>\n",
       "      <td>0.003447</td>\n",
       "      <td>0.649646</td>\n",
       "      <td>8.360717e-03</td>\n",
       "      <td>1.191898</td>\n",
       "      <td>0.007141</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>15</td>\n",
       "      <td>0.924818</td>\n",
       "      <td>0.003350</td>\n",
       "      <td>0.924818</td>\n",
       "      <td>0.003350</td>\n",
       "      <td>0.844358</td>\n",
       "      <td>8.441647e-03</td>\n",
       "      <td>0.924739</td>\n",
       "      <td>0.003350</td>\n",
       "      <td>0.644342</td>\n",
       "      <td>8.441647e-03</td>\n",
       "      <td>1.198958</td>\n",
       "      <td>0.008224</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>20</td>\n",
       "      <td>0.929024</td>\n",
       "      <td>0.003692</td>\n",
       "      <td>0.929024</td>\n",
       "      <td>0.003692</td>\n",
       "      <td>0.847128</td>\n",
       "      <td>9.996472e-03</td>\n",
       "      <td>0.928956</td>\n",
       "      <td>0.003692</td>\n",
       "      <td>0.647115</td>\n",
       "      <td>9.996472e-03</td>\n",
       "      <td>1.190437</td>\n",
       "      <td>0.008609</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>25</td>\n",
       "      <td>0.929466</td>\n",
       "      <td>0.003672</td>\n",
       "      <td>0.929466</td>\n",
       "      <td>0.003672</td>\n",
       "      <td>0.847381</td>\n",
       "      <td>9.951972e-03</td>\n",
       "      <td>0.929399</td>\n",
       "      <td>0.003672</td>\n",
       "      <td>0.647367</td>\n",
       "      <td>9.951972e-03</td>\n",
       "      <td>1.189256</td>\n",
       "      <td>0.008575</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>30</td>\n",
       "      <td>0.929467</td>\n",
       "      <td>0.003672</td>\n",
       "      <td>0.929467</td>\n",
       "      <td>0.003672</td>\n",
       "      <td>0.847381</td>\n",
       "      <td>9.951963e-03</td>\n",
       "      <td>0.929400</td>\n",
       "      <td>0.003672</td>\n",
       "      <td>0.647368</td>\n",
       "      <td>9.951963e-03</td>\n",
       "      <td>1.189253</td>\n",
       "      <td>0.008575</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td rowspan=\"7\" valign=\"top\">OctetRule</td>\n",
       "      <td>1</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.999909</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.799981</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1.002159</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>5</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.999889</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.799976</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1.002269</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>10</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.999904</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.799980</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1.002185</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>15</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.999921</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.799983</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1.002097</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>20</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.999932</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.799986</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1.002058</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>25</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.999933</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.799986</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1.002058</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>30</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.999933</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.799986</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1.002058</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td rowspan=\"7\" valign=\"top\">Unigram</td>\n",
       "      <td>1</td>\n",
       "      <td>0.473210</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.473210</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.328475</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.473119</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.128467</td>\n",
       "      <td>NaN</td>\n",
       "      <td>3.103823</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>5</td>\n",
       "      <td>0.471853</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.471853</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.328223</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.471742</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.128213</td>\n",
       "      <td>NaN</td>\n",
       "      <td>3.113161</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>10</td>\n",
       "      <td>0.472413</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.472413</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.328328</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.472317</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.128319</td>\n",
       "      <td>NaN</td>\n",
       "      <td>3.108594</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>15</td>\n",
       "      <td>0.475235</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.475235</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.328849</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.475156</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.128842</td>\n",
       "      <td>NaN</td>\n",
       "      <td>3.089243</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>20</td>\n",
       "      <td>0.482073</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.482073</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.330101</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.482005</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.130095</td>\n",
       "      <td>NaN</td>\n",
       "      <td>3.043578</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>25</td>\n",
       "      <td>0.482886</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.482886</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.330249</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.482819</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.130243</td>\n",
       "      <td>NaN</td>\n",
       "      <td>3.038328</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>30</td>\n",
       "      <td>0.482886</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.482886</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.330249</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.482819</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.130243</td>\n",
       "      <td>NaN</td>\n",
       "      <td>3.038319</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td rowspan=\"7\" valign=\"top\">transformer</td>\n",
       "      <td>1</td>\n",
       "      <td>0.997288</td>\n",
       "      <td>0.000649</td>\n",
       "      <td>0.997288</td>\n",
       "      <td>0.000649</td>\n",
       "      <td>0.934430</td>\n",
       "      <td>4.196160e-02</td>\n",
       "      <td>0.996990</td>\n",
       "      <td>0.000685</td>\n",
       "      <td>0.804924</td>\n",
       "      <td>2.135476e-02</td>\n",
       "      <td>1.009329</td>\n",
       "      <td>0.001683</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>5</td>\n",
       "      <td>0.979086</td>\n",
       "      <td>0.000774</td>\n",
       "      <td>0.979086</td>\n",
       "      <td>0.000774</td>\n",
       "      <td>0.940276</td>\n",
       "      <td>2.616219e-02</td>\n",
       "      <td>0.978961</td>\n",
       "      <td>0.000784</td>\n",
       "      <td>0.762678</td>\n",
       "      <td>9.248817e-03</td>\n",
       "      <td>1.045114</td>\n",
       "      <td>0.002194</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>10</td>\n",
       "      <td>0.966691</td>\n",
       "      <td>0.001281</td>\n",
       "      <td>0.966691</td>\n",
       "      <td>0.001281</td>\n",
       "      <td>0.934552</td>\n",
       "      <td>4.370422e-03</td>\n",
       "      <td>0.966596</td>\n",
       "      <td>0.001280</td>\n",
       "      <td>0.735643</td>\n",
       "      <td>2.174399e-03</td>\n",
       "      <td>1.072866</td>\n",
       "      <td>0.002933</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>15</td>\n",
       "      <td>0.957203</td>\n",
       "      <td>0.001798</td>\n",
       "      <td>0.957203</td>\n",
       "      <td>0.001798</td>\n",
       "      <td>0.913463</td>\n",
       "      <td>8.658253e-03</td>\n",
       "      <td>0.957127</td>\n",
       "      <td>0.001795</td>\n",
       "      <td>0.717220</td>\n",
       "      <td>3.165161e-03</td>\n",
       "      <td>1.095029</td>\n",
       "      <td>0.003937</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>20</td>\n",
       "      <td>0.957138</td>\n",
       "      <td>0.001908</td>\n",
       "      <td>0.957138</td>\n",
       "      <td>0.001908</td>\n",
       "      <td>0.910503</td>\n",
       "      <td>8.923883e-03</td>\n",
       "      <td>0.957073</td>\n",
       "      <td>0.001905</td>\n",
       "      <td>0.714262</td>\n",
       "      <td>3.307059e-03</td>\n",
       "      <td>1.094637</td>\n",
       "      <td>0.003756</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>25</td>\n",
       "      <td>0.957460</td>\n",
       "      <td>0.001893</td>\n",
       "      <td>0.957460</td>\n",
       "      <td>0.001893</td>\n",
       "      <td>0.910718</td>\n",
       "      <td>8.919553e-03</td>\n",
       "      <td>0.957395</td>\n",
       "      <td>0.001891</td>\n",
       "      <td>0.714477</td>\n",
       "      <td>3.295046e-03</td>\n",
       "      <td>1.093929</td>\n",
       "      <td>0.003725</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>30</td>\n",
       "      <td>0.957461</td>\n",
       "      <td>0.001893</td>\n",
       "      <td>0.957461</td>\n",
       "      <td>0.001893</td>\n",
       "      <td>0.910718</td>\n",
       "      <td>8.919549e-03</td>\n",
       "      <td>0.957396</td>\n",
       "      <td>0.001891</td>\n",
       "      <td>0.714477</td>\n",
       "      <td>3.295042e-03</td>\n",
       "      <td>1.093928</td>\n",
       "      <td>0.003725</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td rowspan=\"7\" valign=\"top\">transformer bond</td>\n",
       "      <td>1</td>\n",
       "      <td>0.999986</td>\n",
       "      <td>0.000022</td>\n",
       "      <td>0.999986</td>\n",
       "      <td>0.000022</td>\n",
       "      <td>0.999966</td>\n",
       "      <td>5.645697e-05</td>\n",
       "      <td>0.999829</td>\n",
       "      <td>0.000103</td>\n",
       "      <td>0.799933</td>\n",
       "      <td>6.259537e-05</td>\n",
       "      <td>1.002296</td>\n",
       "      <td>0.000678</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>5</td>\n",
       "      <td>0.999957</td>\n",
       "      <td>0.000016</td>\n",
       "      <td>0.999957</td>\n",
       "      <td>0.000016</td>\n",
       "      <td>0.999922</td>\n",
       "      <td>3.014322e-05</td>\n",
       "      <td>0.999787</td>\n",
       "      <td>0.000069</td>\n",
       "      <td>0.799886</td>\n",
       "      <td>3.390232e-05</td>\n",
       "      <td>1.002357</td>\n",
       "      <td>0.000632</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>10</td>\n",
       "      <td>0.999978</td>\n",
       "      <td>0.000009</td>\n",
       "      <td>0.999978</td>\n",
       "      <td>0.000009</td>\n",
       "      <td>0.999960</td>\n",
       "      <td>1.689699e-05</td>\n",
       "      <td>0.999841</td>\n",
       "      <td>0.000045</td>\n",
       "      <td>0.799931</td>\n",
       "      <td>1.787468e-05</td>\n",
       "      <td>1.002257</td>\n",
       "      <td>0.000668</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>15</td>\n",
       "      <td>0.999985</td>\n",
       "      <td>0.000006</td>\n",
       "      <td>0.999985</td>\n",
       "      <td>0.000006</td>\n",
       "      <td>0.999973</td>\n",
       "      <td>1.169133e-05</td>\n",
       "      <td>0.999879</td>\n",
       "      <td>0.000029</td>\n",
       "      <td>0.799950</td>\n",
       "      <td>1.191205e-05</td>\n",
       "      <td>1.002023</td>\n",
       "      <td>0.000621</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>20</td>\n",
       "      <td>0.999987</td>\n",
       "      <td>0.000005</td>\n",
       "      <td>0.999987</td>\n",
       "      <td>0.000005</td>\n",
       "      <td>0.999975</td>\n",
       "      <td>1.055672e-05</td>\n",
       "      <td>0.999895</td>\n",
       "      <td>0.000026</td>\n",
       "      <td>0.799956</td>\n",
       "      <td>1.069676e-05</td>\n",
       "      <td>1.001773</td>\n",
       "      <td>0.000546</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>25</td>\n",
       "      <td>0.999987</td>\n",
       "      <td>0.000005</td>\n",
       "      <td>0.999987</td>\n",
       "      <td>0.000005</td>\n",
       "      <td>0.999975</td>\n",
       "      <td>1.053426e-05</td>\n",
       "      <td>0.999896</td>\n",
       "      <td>0.000026</td>\n",
       "      <td>0.799956</td>\n",
       "      <td>1.066277e-05</td>\n",
       "      <td>1.001760</td>\n",
       "      <td>0.000542</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>30</td>\n",
       "      <td>0.999987</td>\n",
       "      <td>0.000005</td>\n",
       "      <td>0.999987</td>\n",
       "      <td>0.000005</td>\n",
       "      <td>0.999975</td>\n",
       "      <td>1.053425e-05</td>\n",
       "      <td>0.999896</td>\n",
       "      <td>0.000026</td>\n",
       "      <td>0.799956</td>\n",
       "      <td>1.066274e-05</td>\n",
       "      <td>1.001760</td>\n",
       "      <td>0.000542</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                               accuracy_octet           f1 micro (octet)  \\\n",
       "                                         mean       std             mean   \n",
       "model_name_short     num_masks                                             \n",
       "Bag-of-atoms         1               0.657674  0.044765         0.657674   \n",
       "                     5               0.545109  0.005824         0.545109   \n",
       "                     10              0.482908  0.010603         0.482908   \n",
       "                     15              0.452783  0.012977         0.452783   \n",
       "                     20              0.455341  0.024166         0.455341   \n",
       "                     25              0.457350  0.022423         0.457350   \n",
       "                     30              0.457351  0.022423         0.457351   \n",
       "Bag-of-atoms_old     1               0.633181  0.008900         0.633181   \n",
       "                     5               0.541166  0.012818         0.541166   \n",
       "                     10              0.471428  0.013770         0.471428   \n",
       "                     15              0.449884  0.005789         0.449884   \n",
       "                     20              0.452143  0.010133         0.452143   \n",
       "                     25              0.453182  0.010056         0.453182   \n",
       "                     30              0.453183  0.010056         0.453183   \n",
       "Bag-of-neighbors     1               0.906673  0.000026         0.906673   \n",
       "                     5               0.902063  0.000011         0.902063   \n",
       "                     10              0.900024  0.000002         0.900024   \n",
       "                     15              0.901626  0.000000         0.901626   \n",
       "                     20              0.907112  0.000000         0.907112   \n",
       "                     25              0.907710  0.000000         0.907710   \n",
       "                     30              0.907711  0.000000         0.907711   \n",
       "Bag-of-neighbors_old 1               0.937759  0.002667         0.937759   \n",
       "                     5               0.929273  0.003217         0.929273   \n",
       "                     10              0.925468  0.003447         0.925468   \n",
       "                     15              0.924818  0.003350         0.924818   \n",
       "                     20              0.929024  0.003692         0.929024   \n",
       "                     25              0.929466  0.003672         0.929466   \n",
       "                     30              0.929467  0.003672         0.929467   \n",
       "OctetRule            1               1.000000       NaN         1.000000   \n",
       "                     5               1.000000       NaN         1.000000   \n",
       "                     10              1.000000       NaN         1.000000   \n",
       "                     15              1.000000       NaN         1.000000   \n",
       "                     20              1.000000       NaN         1.000000   \n",
       "                     25              1.000000       NaN         1.000000   \n",
       "                     30              1.000000       NaN         1.000000   \n",
       "Unigram              1               0.473210       NaN         0.473210   \n",
       "                     5               0.471853       NaN         0.471853   \n",
       "                     10              0.472413       NaN         0.472413   \n",
       "                     15              0.475235       NaN         0.475235   \n",
       "                     20              0.482073       NaN         0.482073   \n",
       "                     25              0.482886       NaN         0.482886   \n",
       "                     30              0.482886       NaN         0.482886   \n",
       "transformer          1               0.997288  0.000649         0.997288   \n",
       "                     5               0.979086  0.000774         0.979086   \n",
       "                     10              0.966691  0.001281         0.966691   \n",
       "                     15              0.957203  0.001798         0.957203   \n",
       "                     20              0.957138  0.001908         0.957138   \n",
       "                     25              0.957460  0.001893         0.957460   \n",
       "                     30              0.957461  0.001893         0.957461   \n",
       "transformer bond     1               0.999986  0.000022         0.999986   \n",
       "                     5               0.999957  0.000016         0.999957   \n",
       "                     10              0.999978  0.000009         0.999978   \n",
       "                     15              0.999985  0.000006         0.999985   \n",
       "                     20              0.999987  0.000005         0.999987   \n",
       "                     25              0.999987  0.000005         0.999987   \n",
       "                     30              0.999987  0.000005         0.999987   \n",
       "\n",
       "                                         f1 macro (octet)                \\\n",
       "                                     std             mean           std   \n",
       "model_name_short     num_masks                                            \n",
       "Bag-of-atoms         1          0.044765         0.442965  4.915856e-02   \n",
       "                     5          0.005824         0.357414  4.125607e-02   \n",
       "                     10         0.010603         0.251826  6.786753e-02   \n",
       "                     15         0.012977         0.217836  5.126457e-02   \n",
       "                     20         0.024166         0.202352  3.549180e-02   \n",
       "                     25         0.022423         0.203326  3.457825e-02   \n",
       "                     30         0.022423         0.203326  3.457817e-02   \n",
       "Bag-of-atoms_old     1          0.008900         0.455725  8.582837e-03   \n",
       "                     5          0.012818         0.282397  2.432634e-02   \n",
       "                     10         0.013770         0.204550  4.692324e-03   \n",
       "                     15         0.005789         0.195117  2.216153e-03   \n",
       "                     20         0.010133         0.192356  3.182557e-03   \n",
       "                     25         0.010056         0.192554  3.035227e-03   \n",
       "                     30         0.010056         0.192554  3.035033e-03   \n",
       "Bag-of-neighbors     1          0.000026         0.771843  2.161232e-05   \n",
       "                     5          0.000011         0.750340  7.172464e-06   \n",
       "                     10         0.000002         0.729649  9.073047e-07   \n",
       "                     15         0.000000         0.720265  0.000000e+00   \n",
       "                     20         0.000000         0.721724  0.000000e+00   \n",
       "                     25         0.000000         0.721936  0.000000e+00   \n",
       "                     30         0.000000         0.721936  0.000000e+00   \n",
       "Bag-of-neighbors_old 1          0.002667         0.879707  6.102372e-03   \n",
       "                     5          0.003217         0.860234  7.569469e-03   \n",
       "                     10         0.003447         0.849665  8.360717e-03   \n",
       "                     15         0.003350         0.844358  8.441647e-03   \n",
       "                     20         0.003692         0.847128  9.996472e-03   \n",
       "                     25         0.003672         0.847381  9.951972e-03   \n",
       "                     30         0.003672         0.847381  9.951963e-03   \n",
       "OctetRule            1               NaN         1.000000           NaN   \n",
       "                     5               NaN         1.000000           NaN   \n",
       "                     10              NaN         1.000000           NaN   \n",
       "                     15              NaN         1.000000           NaN   \n",
       "                     20              NaN         1.000000           NaN   \n",
       "                     25              NaN         1.000000           NaN   \n",
       "                     30              NaN         1.000000           NaN   \n",
       "Unigram              1               NaN         0.328475           NaN   \n",
       "                     5               NaN         0.328223           NaN   \n",
       "                     10              NaN         0.328328           NaN   \n",
       "                     15              NaN         0.328849           NaN   \n",
       "                     20              NaN         0.330101           NaN   \n",
       "                     25              NaN         0.330249           NaN   \n",
       "                     30              NaN         0.330249           NaN   \n",
       "transformer          1          0.000649         0.934430  4.196160e-02   \n",
       "                     5          0.000774         0.940276  2.616219e-02   \n",
       "                     10         0.001281         0.934552  4.370422e-03   \n",
       "                     15         0.001798         0.913463  8.658253e-03   \n",
       "                     20         0.001908         0.910503  8.923883e-03   \n",
       "                     25         0.001893         0.910718  8.919553e-03   \n",
       "                     30         0.001893         0.910718  8.919549e-03   \n",
       "transformer bond     1          0.000022         0.999966  5.645697e-05   \n",
       "                     5          0.000016         0.999922  3.014322e-05   \n",
       "                     10         0.000009         0.999960  1.689699e-05   \n",
       "                     15         0.000006         0.999973  1.169133e-05   \n",
       "                     20         0.000005         0.999975  1.055672e-05   \n",
       "                     25         0.000005         0.999975  1.053426e-05   \n",
       "                     30         0.000005         0.999975  1.053425e-05   \n",
       "\n",
       "                                f1 micro            f1 macro                \\\n",
       "                                    mean       std      mean           std   \n",
       "model_name_short     num_masks                                               \n",
       "Bag-of-atoms         1          0.657569  0.044759  0.279859  2.577884e-02   \n",
       "                     5          0.545054  0.005816  0.235563  2.191183e-03   \n",
       "                     10         0.482893  0.010581  0.209278  4.408759e-03   \n",
       "                     15         0.452776  0.012965  0.193644  4.593221e-03   \n",
       "                     20         0.455335  0.024158  0.178160  1.879329e-02   \n",
       "                     25         0.457344  0.022415  0.179134  1.858919e-02   \n",
       "                     30         0.457345  0.022415  0.179134  1.858918e-02   \n",
       "Bag-of-atoms_old     1          0.633098  0.008898  0.265127  5.136535e-03   \n",
       "                     5          0.541150  0.012812  0.234387  4.355072e-03   \n",
       "                     10         0.471428  0.013770  0.204550  4.692324e-03   \n",
       "                     15         0.449884  0.005789  0.195117  2.216153e-03   \n",
       "                     20         0.452143  0.010133  0.192356  3.182557e-03   \n",
       "                     25         0.453182  0.010056  0.192554  3.035227e-03   \n",
       "                     30         0.453183  0.010056  0.192554  3.035033e-03   \n",
       "Bag-of-neighbors     1          0.906582  0.000026  0.571825  2.161232e-05   \n",
       "                     5          0.901952  0.000011  0.550317  7.172464e-06   \n",
       "                     10         0.899928  0.000002  0.529630  9.073047e-07   \n",
       "                     15         0.901547  0.000000  0.520250  0.000000e+00   \n",
       "                     20         0.907044  0.000000  0.521710  0.000000e+00   \n",
       "                     25         0.907643  0.000000  0.521923  0.000000e+00   \n",
       "                     30         0.907644  0.000000  0.521923  0.000000e+00   \n",
       "Bag-of-neighbors_old 1          0.937668  0.002667  0.679689  6.102373e-03   \n",
       "                     5          0.929161  0.003217  0.660212  7.569470e-03   \n",
       "                     10         0.925372  0.003447  0.649646  8.360717e-03   \n",
       "                     15         0.924739  0.003350  0.644342  8.441647e-03   \n",
       "                     20         0.928956  0.003692  0.647115  9.996472e-03   \n",
       "                     25         0.929399  0.003672  0.647367  9.951972e-03   \n",
       "                     30         0.929400  0.003672  0.647368  9.951963e-03   \n",
       "OctetRule            1          0.999909       NaN  0.799981           NaN   \n",
       "                     5          0.999889       NaN  0.799976           NaN   \n",
       "                     10         0.999904       NaN  0.799980           NaN   \n",
       "                     15         0.999921       NaN  0.799983           NaN   \n",
       "                     20         0.999932       NaN  0.799986           NaN   \n",
       "                     25         0.999933       NaN  0.799986           NaN   \n",
       "                     30         0.999933       NaN  0.799986           NaN   \n",
       "Unigram              1          0.473119       NaN  0.128467           NaN   \n",
       "                     5          0.471742       NaN  0.128213           NaN   \n",
       "                     10         0.472317       NaN  0.128319           NaN   \n",
       "                     15         0.475156       NaN  0.128842           NaN   \n",
       "                     20         0.482005       NaN  0.130095           NaN   \n",
       "                     25         0.482819       NaN  0.130243           NaN   \n",
       "                     30         0.482819       NaN  0.130243           NaN   \n",
       "transformer          1          0.996990  0.000685  0.804924  2.135476e-02   \n",
       "                     5          0.978961  0.000784  0.762678  9.248817e-03   \n",
       "                     10         0.966596  0.001280  0.735643  2.174399e-03   \n",
       "                     15         0.957127  0.001795  0.717220  3.165161e-03   \n",
       "                     20         0.957073  0.001905  0.714262  3.307059e-03   \n",
       "                     25         0.957395  0.001891  0.714477  3.295046e-03   \n",
       "                     30         0.957396  0.001891  0.714477  3.295042e-03   \n",
       "transformer bond     1          0.999829  0.000103  0.799933  6.259537e-05   \n",
       "                     5          0.999787  0.000069  0.799886  3.390232e-05   \n",
       "                     10         0.999841  0.000045  0.799931  1.787468e-05   \n",
       "                     15         0.999879  0.000029  0.799950  1.191205e-05   \n",
       "                     20         0.999895  0.000026  0.799956  1.069676e-05   \n",
       "                     25         0.999896  0.000026  0.799956  1.066277e-05   \n",
       "                     30         0.999896  0.000026  0.799956  1.066274e-05   \n",
       "\n",
       "                                      pp            \n",
       "                                    mean       std  \n",
       "model_name_short     num_masks                      \n",
       "Bag-of-atoms         1          3.310356  0.477642  \n",
       "                     5          2.895072  0.014413  \n",
       "                     10         2.991990  0.009216  \n",
       "                     15         3.026982  0.010645  \n",
       "                     20         2.996421  0.010224  \n",
       "                     25         2.990084  0.010089  \n",
       "                     30         2.990070  0.010088  \n",
       "Bag-of-atoms_old     1          3.477910  0.641446  \n",
       "                     5          2.880415  0.021067  \n",
       "                     10         2.999818  0.021697  \n",
       "                     15         3.023045  0.007995  \n",
       "                     20         2.988779  0.007419  \n",
       "                     25         2.982963  0.007136  \n",
       "                     30         2.982958  0.007134  \n",
       "Bag-of-neighbors     1          1.281443  0.004071  \n",
       "                     5          1.299405  0.003796  \n",
       "                     10         1.316750  0.004553  \n",
       "                     15         1.328959  0.006607  \n",
       "                     20         1.320278  0.007948  \n",
       "                     25         1.318521  0.007975  \n",
       "                     30         1.318517  0.007975  \n",
       "Bag-of-neighbors_old 1          1.159262  0.004340  \n",
       "                     5          1.179000  0.005841  \n",
       "                     10         1.191898  0.007141  \n",
       "                     15         1.198958  0.008224  \n",
       "                     20         1.190437  0.008609  \n",
       "                     25         1.189256  0.008575  \n",
       "                     30         1.189253  0.008575  \n",
       "OctetRule            1          1.002159       NaN  \n",
       "                     5          1.002269       NaN  \n",
       "                     10         1.002185       NaN  \n",
       "                     15         1.002097       NaN  \n",
       "                     20         1.002058       NaN  \n",
       "                     25         1.002058       NaN  \n",
       "                     30         1.002058       NaN  \n",
       "Unigram              1          3.103823       NaN  \n",
       "                     5          3.113161       NaN  \n",
       "                     10         3.108594       NaN  \n",
       "                     15         3.089243       NaN  \n",
       "                     20         3.043578       NaN  \n",
       "                     25         3.038328       NaN  \n",
       "                     30         3.038319       NaN  \n",
       "transformer          1          1.009329  0.001683  \n",
       "                     5          1.045114  0.002194  \n",
       "                     10         1.072866  0.002933  \n",
       "                     15         1.095029  0.003937  \n",
       "                     20         1.094637  0.003756  \n",
       "                     25         1.093929  0.003725  \n",
       "                     30         1.093928  0.003725  \n",
       "transformer bond     1          1.002296  0.000678  \n",
       "                     5          1.002357  0.000632  \n",
       "                     10         1.002257  0.000668  \n",
       "                     15         1.002023  0.000621  \n",
       "                     20         1.001773  0.000546  \n",
       "                     25         1.001760  0.000542  \n",
       "                     30         1.001760  0.000542  "
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "results_mask2 = results_mask.groupby(['model_name_short', 'num_masks']).agg(['mean','std'])[['accuracy_octet','f1 micro (octet)','f1 macro (octet)','f1 micro','f1 macro','pp']]\n",
    "results_mask2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
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       "        };\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 = $(\n",
       "        '<div class=\"ui-dialog-titlebar ui-widget-header ui-corner-all ' +\n",
       "        'ui-helper-clearfix\"/>');\n",
       "    var titletext = $(\n",
       "        '<div class=\"ui-dialog-title\" style=\"width: 100%; ' +\n",
       "        'text-align: center; padding: 3px;\"/>');\n",
       "    titlebar.append(titletext)\n",
       "    this.root.append(titlebar);\n",
       "    this.header = titletext[0];\n",
       "}\n",
       "\n",
       "\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = $('<div/>');\n",
       "\n",
       "    canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n",
       "\n",
       "    function canvas_keyboard_event(event) {\n",
       "        return fig.key_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    canvas_div.keydown('key_press', canvas_keyboard_event);\n",
       "    canvas_div.keyup('key_release', canvas_keyboard_event);\n",
       "    this.canvas_div = canvas_div\n",
       "    this._canvas_extra_style(canvas_div)\n",
       "    this.root.append(canvas_div);\n",
       "\n",
       "    var canvas = $('<canvas/>');\n",
       "    canvas.addClass('mpl-canvas');\n",
       "    canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n",
       "\n",
       "    this.canvas = canvas[0];\n",
       "    this.context = canvas[0].getContext(\"2d\");\n",
       "\n",
       "    var backingStore = this.context.backingStorePixelRatio ||\n",
       "\tthis.context.webkitBackingStorePixelRatio ||\n",
       "\tthis.context.mozBackingStorePixelRatio ||\n",
       "\tthis.context.msBackingStorePixelRatio ||\n",
       "\tthis.context.oBackingStorePixelRatio ||\n",
       "\tthis.context.backingStorePixelRatio || 1;\n",
       "\n",
       "    mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband = $('<canvas/>');\n",
       "    rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n",
       "\n",
       "    var pass_mouse_events = true;\n",
       "\n",
       "    canvas_div.resizable({\n",
       "        start: function(event, ui) {\n",
       "            pass_mouse_events = false;\n",
       "        },\n",
       "        resize: function(event, ui) {\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "        stop: function(event, ui) {\n",
       "            pass_mouse_events = true;\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "    });\n",
       "\n",
       "    function mouse_event_fn(event) {\n",
       "        if (pass_mouse_events)\n",
       "            return fig.mouse_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    rubberband.mousedown('button_press', mouse_event_fn);\n",
       "    rubberband.mouseup('button_release', mouse_event_fn);\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband.mousemove('motion_notify', mouse_event_fn);\n",
       "\n",
       "    rubberband.mouseenter('figure_enter', mouse_event_fn);\n",
       "    rubberband.mouseleave('figure_leave', mouse_event_fn);\n",
       "\n",
       "    canvas_div.on(\"wheel\", function (event) {\n",
       "        event = event.originalEvent;\n",
       "        event['data'] = 'scroll'\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        mouse_event_fn(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.append(canvas);\n",
       "    canvas_div.append(rubberband);\n",
       "\n",
       "    this.rubberband = rubberband;\n",
       "    this.rubberband_canvas = rubberband[0];\n",
       "    this.rubberband_context = rubberband[0].getContext(\"2d\");\n",
       "    this.rubberband_context.strokeStyle = \"#000000\";\n",
       "\n",
       "    this._resize_canvas = function(width, height) {\n",
       "        // Keep the size of the canvas, canvas container, and rubber band\n",
       "        // canvas in synch.\n",
       "        canvas_div.css('width', width)\n",
       "        canvas_div.css('height', height)\n",
       "\n",
       "        canvas.attr('width', width * mpl.ratio);\n",
       "        canvas.attr('height', height * mpl.ratio);\n",
       "        canvas.attr('style', 'width: ' + width + 'px; height: ' + height + 'px;');\n",
       "\n",
       "        rubberband.attr('width', width);\n",
       "        rubberband.attr('height', height);\n",
       "    }\n",
       "\n",
       "    // Set the figure to an initial 600x600px, this will subsequently be updated\n",
       "    // upon first draw.\n",
       "    this._resize_canvas(600, 600);\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\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 nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\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",
       "            // put a spacer in here.\n",
       "            continue;\n",
       "        }\n",
       "        var button = $('<button/>');\n",
       "        button.addClass('ui-button ui-widget ui-state-default ui-corner-all ' +\n",
       "                        'ui-button-icon-only');\n",
       "        button.attr('role', 'button');\n",
       "        button.attr('aria-disabled', 'false');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "\n",
       "        var icon_img = $('<span/>');\n",
       "        icon_img.addClass('ui-button-icon-primary ui-icon');\n",
       "        icon_img.addClass(image);\n",
       "        icon_img.addClass('ui-corner-all');\n",
       "\n",
       "        var tooltip_span = $('<span/>');\n",
       "        tooltip_span.addClass('ui-button-text');\n",
       "        tooltip_span.html(tooltip);\n",
       "\n",
       "        button.append(icon_img);\n",
       "        button.append(tooltip_span);\n",
       "\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    var fmt_picker_span = $('<span/>');\n",
       "\n",
       "    var fmt_picker = $('<select/>');\n",
       "    fmt_picker.addClass('mpl-toolbar-option ui-widget ui-widget-content');\n",
       "    fmt_picker_span.append(fmt_picker);\n",
       "    nav_element.append(fmt_picker_span);\n",
       "    this.format_dropdown = fmt_picker[0];\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = $(\n",
       "            '<option/>', {selected: fmt === mpl.default_extension}).html(fmt);\n",
       "        fmt_picker.append(option);\n",
       "    }\n",
       "\n",
       "    // Add hover states to the ui-buttons\n",
       "    $( \".ui-button\" ).hover(\n",
       "        function() { $(this).addClass(\"ui-state-hover\");},\n",
       "        function() { $(this).removeClass(\"ui-state-hover\");}\n",
       "    );\n",
       "\n",
       "    var status_bar = $('<span class=\"mpl-message\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\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",
       "\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",
       "\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]);\n",
       "        fig.send_message(\"refresh\", {});\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function(fig, msg) {\n",
       "    var x0 = msg['x0'] / mpl.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / mpl.ratio;\n",
       "    var x1 = msg['x1'] / mpl.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / mpl.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, 0, fig.canvas.width / mpl.ratio, fig.canvas.height / mpl.ratio);\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",
       "    {\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.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",
       "            /* 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",
       "            evt.data.type = \"image/png\";\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",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                evt.data);\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "        else if (typeof evt.data === 'string' && evt.data.slice(0, 21) == \"data:image/png;base64\") {\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(\"No handler for the '\" + msg_type + \"' message type: \", msg);\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(\"Exception inside the 'handler_\" + msg_type + \"' callback:\", e, e.stack, msg);\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",
       "    if (e.target)\n",
       "        targ = e.target;\n",
       "    else if (e.srcElement)\n",
       "        targ = e.srcElement;\n",
       "    if (targ.nodeType == 3) // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "\n",
       "    // jQuery normalizes the pageX and pageY\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    // offset() returns the position of the element relative to the document\n",
       "    var x = e.pageX - $(targ).offset().left;\n",
       "    var y = e.pageY - $(targ).offset().top;\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",
       "    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",
       "    {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * mpl.ratio;\n",
       "    var y = canvas_pos.y * mpl.ratio;\n",
       "\n",
       "    this.send_message(name, {x: x, y: y, button: event.button,\n",
       "                             step: event.step,\n",
       "                             guiEvent: simpleKeys(event)});\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",
       "\n",
       "    // Prevent repeat events\n",
       "    if (name == 'key_press')\n",
       "    {\n",
       "        if (event.which === this._key)\n",
       "            return;\n",
       "        else\n",
       "            this._key = event.which;\n",
       "    }\n",
       "    if (name == 'key_release')\n",
       "        this._key = null;\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.which != 17)\n",
       "        value += \"ctrl+\";\n",
       "    if (event.altKey && event.which != 18)\n",
       "        value += \"alt+\";\n",
       "    if (event.shiftKey && event.which != 16)\n",
       "        value += \"shift+\";\n",
       "\n",
       "    value += 'k';\n",
       "    value += event.which.toString();\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, {key: value,\n",
       "                             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",
       "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\", \"Pan axes with left mouse, zoom with right\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";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.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",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(msg['content']['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 = $(\"#\" + id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm)\n",
       "\n",
       "    function ondownload(figure, format) {\n",
       "        window.open(figure.imageObj.src);\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy,\n",
       "                           ondownload,\n",
       "                           element.get(0));\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.get(0);\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",
       "\n",
       "    var output_index = fig.cell_info[2]\n",
       "    var cell = fig.cell_info[0];\n",
       "\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function(fig, msg) {\n",
       "    var width = fig.canvas.width/mpl.ratio\n",
       "    fig.root.unbind('remove')\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).html('<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/mpl.ratio\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] = '<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 () { fig.push_to_output() }, 1000);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\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) { continue; };\n",
       "\n",
       "        var button = $('<button class=\"btn btn-default\" href=\"#\" title=\"' + name + '\"><i class=\"fa ' + image + ' fa-lg\"></i></button>');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = $('<span class=\"mpl-message\" style=\"text-align:right; float: right;\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = $('<div class=\"btn-group inline pull-right\"></div>');\n",
       "    var button = $('<button class=\"btn btn-mini btn-primary\" href=\"#\" title=\"Stop Interaction\"><i class=\"fa fa-power-off icon-remove icon-large\"></i></button>');\n",
       "    button.click(function (evt) { fig.handle_close(fig, {}); } );\n",
       "    button.mouseover('Stop Interaction', toolbar_mouse_event);\n",
       "    buttongrp.append(button);\n",
       "    var titlebar = this.root.find($('.ui-dialog-titlebar'));\n",
       "    titlebar.prepend(buttongrp);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(el){\n",
       "    var fig = this\n",
       "    el.on(\"remove\", function(){\n",
       "\tfig.close_ws(fig, {});\n",
       "    });\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(el){\n",
       "    // this is important to make the div 'focusable\n",
       "    el.attr('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",
       "    }\n",
       "    else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\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",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which == 13) {\n",
       "        this.canvas_div.blur();\n",
       "        event.shiftKey = false;\n",
       "        // Send a \"J\" for go to next cell\n",
       "        event.which = 74;\n",
       "        event.keyCode = 74;\n",
       "        manager.command_mode();\n",
       "        manager.handle_keydown(event);\n",
       "    }\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "}\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('matplotlib', mpl.mpl_figure_comm);\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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\" width=\"600\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, (ax, ax2) = plt.subplots(2,1, sharex=True, figsize=(6,5), gridspec_kw={'height_ratios':[1,2]})\n",
    "plt.ylabel('Octet accuracy')\n",
    "\n",
    "\n",
    "\n",
    "colors = {'Unigram':'C1', \n",
    "         'Bag-of-atoms':'C0',\n",
    "         'Bag-of-neighbors':'C4',\n",
    "         'transformer':'C3',\n",
    "         'transformer bond':'C2',\n",
    "         'OctetRule':'C5',\n",
    "         'Bag-of-atoms_old':'W',\n",
    "         'Bag-of-neighbors_old':'W'}\n",
    "\n",
    "for key, group in results_mask2['accuracy_octet'].reset_index().groupby('model_name_short'):\n",
    "    if 'Octet' not in key and 'old' not in key:\n",
    "        group.plot('num_masks','mean',yerr='std', label=key, ax=ax, color=colors[key])\n",
    "        if 'bond' not in key:\n",
    "            group.plot('num_masks','mean',yerr='std', label=key, ax=ax2, color=colors[key])\n",
    "\n",
    "#ax.set_xticks(np.arange(1,6, 1.0))\n",
    "ax.set_ylim([0.99972, 1.00001])\n",
    "ax2.set_ylim([0.4, 0.999])\n",
    "\n",
    "ax.spines['bottom'].set_visible(False)\n",
    "ax2.spines['top'].set_visible(False)\n",
    "ax.xaxis.tick_top()\n",
    "ax.tick_params(labeltop=False, top=False)\n",
    "ax2.xaxis.tick_bottom()\n",
    "\n",
    "d = .015  # how big to make the diagonal lines in axes coordinates\n",
    "# arguments to pass plot, just so we don't keep repeating them\n",
    "kwargs = dict(transform=ax.transAxes, color='k', clip_on=False)\n",
    "ax.plot((-d, +d), (-d, +d), **kwargs)        # top-left diagonal\n",
    "ax.plot((1 - d, 1 + d), (-d, +d), **kwargs)  # top-right diagonal\n",
    "\n",
    "kwargs.update(transform=ax2.transAxes)  # switch to the bottom axes\n",
    "ax2.plot((-d, +d), (1 - d, 1 + d), **kwargs)  # bottom-left diagonal\n",
    "ax2.plot((1 - d, 1 + d), (1 - d, 1 + d), **kwargs)  # bottom-right diagonal\n",
    "\n",
    "#ax2.set_xlim([0.9, 5.1])\n",
    "#ax2.set_xticks(np.arange(1,6, 1.0))\n",
    "ax2.set_yticks([0.5,0.6,0.7,0.8,0.9,0.998])\n",
    "ax.get_legend().remove()\n",
    "ax2.get_legend().remove()\n",
    "ax2.set_xlabel('$n_{masks}$', fontsize=15)\n",
    "\n",
    "ax2.annotate('Unigram', xy=(17,0.48), xytext=(20,0.55),arrowprops={'arrowstyle':'->',})\n",
    "ax2.annotate('Bag-of-Atoms', xy=(4.5,0.55), xytext=(2.5,0.7),arrowprops={'arrowstyle':'->'})\n",
    "ax2.annotate('Bag-of-Neighbors', xy=(20,0.9), xytext=(20,0.80),arrowprops={'arrowstyle':'->'})\n",
    "ax2.annotate('Binary-Transformer', xy=(3,0.98), xytext=(5,0.85),arrowprops={'arrowstyle':'->'})\n",
    "#ax.annotate('Octet-Rule-Unigram', xy=(4,1), xytext=(6,1.00004),arrowprops={'arrowstyle':'->'})\n",
    "ax.annotate('Bond-Transformer', xy=(7,0.99995), xytext=(10,0.99985),arrowprops={'arrowstyle':'->'})\n",
    "\n",
    "plt.savefig('images/octet_accuracy_vs_nmask_qm9.pgf', bbox_inches=\"tight\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "window.mpl = {};\n",
       "\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('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",
       "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 = $('<div/>');\n",
       "    this._root_extra_style(this.root)\n",
       "    this.root.attr('style', 'display: inline-block');\n",
       "\n",
       "    $(parent_element).append(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 (mpl.ratio != 1) {\n",
       "                fig.send_message(\"set_dpi_ratio\", {'dpi_ratio': mpl.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 = $(\n",
       "        '<div class=\"ui-dialog-titlebar ui-widget-header ui-corner-all ' +\n",
       "        'ui-helper-clearfix\"/>');\n",
       "    var titletext = $(\n",
       "        '<div class=\"ui-dialog-title\" style=\"width: 100%; ' +\n",
       "        'text-align: center; padding: 3px;\"/>');\n",
       "    titlebar.append(titletext)\n",
       "    this.root.append(titlebar);\n",
       "    this.header = titletext[0];\n",
       "}\n",
       "\n",
       "\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = $('<div/>');\n",
       "\n",
       "    canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n",
       "\n",
       "    function canvas_keyboard_event(event) {\n",
       "        return fig.key_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    canvas_div.keydown('key_press', canvas_keyboard_event);\n",
       "    canvas_div.keyup('key_release', canvas_keyboard_event);\n",
       "    this.canvas_div = canvas_div\n",
       "    this._canvas_extra_style(canvas_div)\n",
       "    this.root.append(canvas_div);\n",
       "\n",
       "    var canvas = $('<canvas/>');\n",
       "    canvas.addClass('mpl-canvas');\n",
       "    canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n",
       "\n",
       "    this.canvas = canvas[0];\n",
       "    this.context = canvas[0].getContext(\"2d\");\n",
       "\n",
       "    var backingStore = this.context.backingStorePixelRatio ||\n",
       "\tthis.context.webkitBackingStorePixelRatio ||\n",
       "\tthis.context.mozBackingStorePixelRatio ||\n",
       "\tthis.context.msBackingStorePixelRatio ||\n",
       "\tthis.context.oBackingStorePixelRatio ||\n",
       "\tthis.context.backingStorePixelRatio || 1;\n",
       "\n",
       "    mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband = $('<canvas/>');\n",
       "    rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n",
       "\n",
       "    var pass_mouse_events = true;\n",
       "\n",
       "    canvas_div.resizable({\n",
       "        start: function(event, ui) {\n",
       "            pass_mouse_events = false;\n",
       "        },\n",
       "        resize: function(event, ui) {\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "        stop: function(event, ui) {\n",
       "            pass_mouse_events = true;\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "    });\n",
       "\n",
       "    function mouse_event_fn(event) {\n",
       "        if (pass_mouse_events)\n",
       "            return fig.mouse_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    rubberband.mousedown('button_press', mouse_event_fn);\n",
       "    rubberband.mouseup('button_release', mouse_event_fn);\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband.mousemove('motion_notify', mouse_event_fn);\n",
       "\n",
       "    rubberband.mouseenter('figure_enter', mouse_event_fn);\n",
       "    rubberband.mouseleave('figure_leave', mouse_event_fn);\n",
       "\n",
       "    canvas_div.on(\"wheel\", function (event) {\n",
       "        event = event.originalEvent;\n",
       "        event['data'] = 'scroll'\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        mouse_event_fn(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.append(canvas);\n",
       "    canvas_div.append(rubberband);\n",
       "\n",
       "    this.rubberband = rubberband;\n",
       "    this.rubberband_canvas = rubberband[0];\n",
       "    this.rubberband_context = rubberband[0].getContext(\"2d\");\n",
       "    this.rubberband_context.strokeStyle = \"#000000\";\n",
       "\n",
       "    this._resize_canvas = function(width, height) {\n",
       "        // Keep the size of the canvas, canvas container, and rubber band\n",
       "        // canvas in synch.\n",
       "        canvas_div.css('width', width)\n",
       "        canvas_div.css('height', height)\n",
       "\n",
       "        canvas.attr('width', width * mpl.ratio);\n",
       "        canvas.attr('height', height * mpl.ratio);\n",
       "        canvas.attr('style', 'width: ' + width + 'px; height: ' + height + 'px;');\n",
       "\n",
       "        rubberband.attr('width', width);\n",
       "        rubberband.attr('height', height);\n",
       "    }\n",
       "\n",
       "    // Set the figure to an initial 600x600px, this will subsequently be updated\n",
       "    // upon first draw.\n",
       "    this._resize_canvas(600, 600);\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\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 nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\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",
       "            // put a spacer in here.\n",
       "            continue;\n",
       "        }\n",
       "        var button = $('<button/>');\n",
       "        button.addClass('ui-button ui-widget ui-state-default ui-corner-all ' +\n",
       "                        'ui-button-icon-only');\n",
       "        button.attr('role', 'button');\n",
       "        button.attr('aria-disabled', 'false');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "\n",
       "        var icon_img = $('<span/>');\n",
       "        icon_img.addClass('ui-button-icon-primary ui-icon');\n",
       "        icon_img.addClass(image);\n",
       "        icon_img.addClass('ui-corner-all');\n",
       "\n",
       "        var tooltip_span = $('<span/>');\n",
       "        tooltip_span.addClass('ui-button-text');\n",
       "        tooltip_span.html(tooltip);\n",
       "\n",
       "        button.append(icon_img);\n",
       "        button.append(tooltip_span);\n",
       "\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    var fmt_picker_span = $('<span/>');\n",
       "\n",
       "    var fmt_picker = $('<select/>');\n",
       "    fmt_picker.addClass('mpl-toolbar-option ui-widget ui-widget-content');\n",
       "    fmt_picker_span.append(fmt_picker);\n",
       "    nav_element.append(fmt_picker_span);\n",
       "    this.format_dropdown = fmt_picker[0];\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = $(\n",
       "            '<option/>', {selected: fmt === mpl.default_extension}).html(fmt);\n",
       "        fmt_picker.append(option);\n",
       "    }\n",
       "\n",
       "    // Add hover states to the ui-buttons\n",
       "    $( \".ui-button\" ).hover(\n",
       "        function() { $(this).addClass(\"ui-state-hover\");},\n",
       "        function() { $(this).removeClass(\"ui-state-hover\");}\n",
       "    );\n",
       "\n",
       "    var status_bar = $('<span class=\"mpl-message\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\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",
       "\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",
       "\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]);\n",
       "        fig.send_message(\"refresh\", {});\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function(fig, msg) {\n",
       "    var x0 = msg['x0'] / mpl.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / mpl.ratio;\n",
       "    var x1 = msg['x1'] / mpl.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / mpl.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, 0, fig.canvas.width / mpl.ratio, fig.canvas.height / mpl.ratio);\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",
       "    {\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.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",
       "            /* 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",
       "            evt.data.type = \"image/png\";\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",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                evt.data);\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "        else if (typeof evt.data === 'string' && evt.data.slice(0, 21) == \"data:image/png;base64\") {\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(\"No handler for the '\" + msg_type + \"' message type: \", msg);\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(\"Exception inside the 'handler_\" + msg_type + \"' callback:\", e, e.stack, msg);\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",
       "    if (e.target)\n",
       "        targ = e.target;\n",
       "    else if (e.srcElement)\n",
       "        targ = e.srcElement;\n",
       "    if (targ.nodeType == 3) // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "\n",
       "    // jQuery normalizes the pageX and pageY\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    // offset() returns the position of the element relative to the document\n",
       "    var x = e.pageX - $(targ).offset().left;\n",
       "    var y = e.pageY - $(targ).offset().top;\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",
       "    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",
       "    {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * mpl.ratio;\n",
       "    var y = canvas_pos.y * mpl.ratio;\n",
       "\n",
       "    this.send_message(name, {x: x, y: y, button: event.button,\n",
       "                             step: event.step,\n",
       "                             guiEvent: simpleKeys(event)});\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",
       "\n",
       "    // Prevent repeat events\n",
       "    if (name == 'key_press')\n",
       "    {\n",
       "        if (event.which === this._key)\n",
       "            return;\n",
       "        else\n",
       "            this._key = event.which;\n",
       "    }\n",
       "    if (name == 'key_release')\n",
       "        this._key = null;\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.which != 17)\n",
       "        value += \"ctrl+\";\n",
       "    if (event.altKey && event.which != 18)\n",
       "        value += \"alt+\";\n",
       "    if (event.shiftKey && event.which != 16)\n",
       "        value += \"shift+\";\n",
       "\n",
       "    value += 'k';\n",
       "    value += event.which.toString();\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, {key: value,\n",
       "                             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",
       "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\", \"Pan axes with left mouse, zoom with right\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";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.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",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(msg['content']['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 = $(\"#\" + id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm)\n",
       "\n",
       "    function ondownload(figure, format) {\n",
       "        window.open(figure.imageObj.src);\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy,\n",
       "                           ondownload,\n",
       "                           element.get(0));\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.get(0);\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",
       "\n",
       "    var output_index = fig.cell_info[2]\n",
       "    var cell = fig.cell_info[0];\n",
       "\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function(fig, msg) {\n",
       "    var width = fig.canvas.width/mpl.ratio\n",
       "    fig.root.unbind('remove')\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).html('<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/mpl.ratio\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] = '<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 () { fig.push_to_output() }, 1000);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\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) { continue; };\n",
       "\n",
       "        var button = $('<button class=\"btn btn-default\" href=\"#\" title=\"' + name + '\"><i class=\"fa ' + image + ' fa-lg\"></i></button>');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = $('<span class=\"mpl-message\" style=\"text-align:right; float: right;\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = $('<div class=\"btn-group inline pull-right\"></div>');\n",
       "    var button = $('<button class=\"btn btn-mini btn-primary\" href=\"#\" title=\"Stop Interaction\"><i class=\"fa fa-power-off icon-remove icon-large\"></i></button>');\n",
       "    button.click(function (evt) { fig.handle_close(fig, {}); } );\n",
       "    button.mouseover('Stop Interaction', toolbar_mouse_event);\n",
       "    buttongrp.append(button);\n",
       "    var titlebar = this.root.find($('.ui-dialog-titlebar'));\n",
       "    titlebar.prepend(buttongrp);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(el){\n",
       "    var fig = this\n",
       "    el.on(\"remove\", function(){\n",
       "\tfig.close_ws(fig, {});\n",
       "    });\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(el){\n",
       "    // this is important to make the div 'focusable\n",
       "    el.attr('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",
       "    }\n",
       "    else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\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",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which == 13) {\n",
       "        this.canvas_div.blur();\n",
       "        event.shiftKey = false;\n",
       "        // Send a \"J\" for go to next cell\n",
       "        event.which = 74;\n",
       "        event.keyCode = 74;\n",
       "        manager.command_mode();\n",
       "        manager.handle_keydown(event);\n",
       "    }\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "}\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('matplotlib', mpl.mpl_figure_comm);\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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\" width=\"600\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, (ax, ax2) = plt.subplots(2,1, sharex=True, figsize=(6,5), gridspec_kw={'height_ratios':[1,2]})\n",
    "plt.ylabel('Octet F1 (micro)')\n",
    "\n",
    "\n",
    "\n",
    "colors = {'Unigram':'C1', \n",
    "         'Bag-of-atoms':'C0',\n",
    "         'Bag-of-neighbors':'C4',\n",
    "         'transformer':'C3',\n",
    "         'transformer bond':'C2',\n",
    "         'OctetRule':'C5',\n",
    "         'Bag-of-atoms_old':'W',\n",
    "         'Bag-of-neighbors_old':'W'}\n",
    "\n",
    "for key, group in results_mask2['f1 micro (octet)'].reset_index().groupby('model_name_short'):\n",
    "    if 'Octet' not in key and 'old' not in key:\n",
    "        group.plot('num_masks','mean',yerr='std', label=key, ax=ax, color=colors[key])\n",
    "        if 'bond' not in key:\n",
    "            group.plot('num_masks','mean',yerr='std', label=key, ax=ax2, color=colors[key])\n",
    "\n",
    "#ax.set_xticks(np.arange(1,6, 1.0))\n",
    "ax.set_ylim([0.99972, 1.00001])\n",
    "ax2.set_ylim([0.4, 0.999])\n",
    "\n",
    "ax.spines['bottom'].set_visible(False)\n",
    "ax2.spines['top'].set_visible(False)\n",
    "ax.xaxis.tick_top()\n",
    "ax.tick_params(labeltop=False, top=False)\n",
    "ax2.xaxis.tick_bottom()\n",
    "\n",
    "d = .015  # how big to make the diagonal lines in axes coordinates\n",
    "# arguments to pass plot, just so we don't keep repeating them\n",
    "kwargs = dict(transform=ax.transAxes, color='k', clip_on=False)\n",
    "ax.plot((-d, +d), (-d, +d), **kwargs)        # top-left diagonal\n",
    "ax.plot((1 - d, 1 + d), (-d, +d), **kwargs)  # top-right diagonal\n",
    "\n",
    "kwargs.update(transform=ax2.transAxes)  # switch to the bottom axes\n",
    "ax2.plot((-d, +d), (1 - d, 1 + d), **kwargs)  # bottom-left diagonal\n",
    "ax2.plot((1 - d, 1 + d), (1 - d, 1 + d), **kwargs)  # bottom-right diagonal\n",
    "\n",
    "#ax2.set_xlim([0.9, 5.1])\n",
    "#ax2.set_xticks(np.arange(1,6, 1.0))\n",
    "ax2.set_yticks([0.5,0.6,0.7,0.8,0.9,0.998])\n",
    "ax.get_legend().remove()\n",
    "ax2.get_legend().remove()\n",
    "ax2.set_xlabel('$n_{masks}$', fontsize=15)\n",
    "\n",
    "ax2.annotate('Unigram', xy=(17,0.48), xytext=(20,0.55),arrowprops={'arrowstyle':'->',})\n",
    "ax2.annotate('Bag-of-Atoms', xy=(4.5,0.55), xytext=(2.5,0.7),arrowprops={'arrowstyle':'->'})\n",
    "ax2.annotate('Bag-of-Neighbors', xy=(20,0.9), xytext=(20,0.80),arrowprops={'arrowstyle':'->'})\n",
    "ax2.annotate('Binary-Transformer', xy=(3,0.98), xytext=(5,0.85),arrowprops={'arrowstyle':'->'})\n",
    "#ax.annotate('Octet-Rule-Unigram', xy=(4,1), xytext=(6,1.00004),arrowprops={'arrowstyle':'->'})\n",
    "ax.annotate('Bond-Transformer', xy=(7,0.99995), xytext=(10,0.99985),arrowprops={'arrowstyle':'->'})\n",
    "\n",
    "plt.savefig('images/octet_f1_micro_vs_nmask_qm9.pdf')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "window.mpl = {};\n",
       "\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('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",
       "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 = $('<div/>');\n",
       "    this._root_extra_style(this.root)\n",
       "    this.root.attr('style', 'display: inline-block');\n",
       "\n",
       "    $(parent_element).append(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 (mpl.ratio != 1) {\n",
       "                fig.send_message(\"set_dpi_ratio\", {'dpi_ratio': mpl.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 = $(\n",
       "        '<div class=\"ui-dialog-titlebar ui-widget-header ui-corner-all ' +\n",
       "        'ui-helper-clearfix\"/>');\n",
       "    var titletext = $(\n",
       "        '<div class=\"ui-dialog-title\" style=\"width: 100%; ' +\n",
       "        'text-align: center; padding: 3px;\"/>');\n",
       "    titlebar.append(titletext)\n",
       "    this.root.append(titlebar);\n",
       "    this.header = titletext[0];\n",
       "}\n",
       "\n",
       "\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = $('<div/>');\n",
       "\n",
       "    canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n",
       "\n",
       "    function canvas_keyboard_event(event) {\n",
       "        return fig.key_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    canvas_div.keydown('key_press', canvas_keyboard_event);\n",
       "    canvas_div.keyup('key_release', canvas_keyboard_event);\n",
       "    this.canvas_div = canvas_div\n",
       "    this._canvas_extra_style(canvas_div)\n",
       "    this.root.append(canvas_div);\n",
       "\n",
       "    var canvas = $('<canvas/>');\n",
       "    canvas.addClass('mpl-canvas');\n",
       "    canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n",
       "\n",
       "    this.canvas = canvas[0];\n",
       "    this.context = canvas[0].getContext(\"2d\");\n",
       "\n",
       "    var backingStore = this.context.backingStorePixelRatio ||\n",
       "\tthis.context.webkitBackingStorePixelRatio ||\n",
       "\tthis.context.mozBackingStorePixelRatio ||\n",
       "\tthis.context.msBackingStorePixelRatio ||\n",
       "\tthis.context.oBackingStorePixelRatio ||\n",
       "\tthis.context.backingStorePixelRatio || 1;\n",
       "\n",
       "    mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband = $('<canvas/>');\n",
       "    rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n",
       "\n",
       "    var pass_mouse_events = true;\n",
       "\n",
       "    canvas_div.resizable({\n",
       "        start: function(event, ui) {\n",
       "            pass_mouse_events = false;\n",
       "        },\n",
       "        resize: function(event, ui) {\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "        stop: function(event, ui) {\n",
       "            pass_mouse_events = true;\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "    });\n",
       "\n",
       "    function mouse_event_fn(event) {\n",
       "        if (pass_mouse_events)\n",
       "            return fig.mouse_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    rubberband.mousedown('button_press', mouse_event_fn);\n",
       "    rubberband.mouseup('button_release', mouse_event_fn);\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband.mousemove('motion_notify', mouse_event_fn);\n",
       "\n",
       "    rubberband.mouseenter('figure_enter', mouse_event_fn);\n",
       "    rubberband.mouseleave('figure_leave', mouse_event_fn);\n",
       "\n",
       "    canvas_div.on(\"wheel\", function (event) {\n",
       "        event = event.originalEvent;\n",
       "        event['data'] = 'scroll'\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        mouse_event_fn(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.append(canvas);\n",
       "    canvas_div.append(rubberband);\n",
       "\n",
       "    this.rubberband = rubberband;\n",
       "    this.rubberband_canvas = rubberband[0];\n",
       "    this.rubberband_context = rubberband[0].getContext(\"2d\");\n",
       "    this.rubberband_context.strokeStyle = \"#000000\";\n",
       "\n",
       "    this._resize_canvas = function(width, height) {\n",
       "        // Keep the size of the canvas, canvas container, and rubber band\n",
       "        // canvas in synch.\n",
       "        canvas_div.css('width', width)\n",
       "        canvas_div.css('height', height)\n",
       "\n",
       "        canvas.attr('width', width * mpl.ratio);\n",
       "        canvas.attr('height', height * mpl.ratio);\n",
       "        canvas.attr('style', 'width: ' + width + 'px; height: ' + height + 'px;');\n",
       "\n",
       "        rubberband.attr('width', width);\n",
       "        rubberband.attr('height', height);\n",
       "    }\n",
       "\n",
       "    // Set the figure to an initial 600x600px, this will subsequently be updated\n",
       "    // upon first draw.\n",
       "    this._resize_canvas(600, 600);\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\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 nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\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",
       "            // put a spacer in here.\n",
       "            continue;\n",
       "        }\n",
       "        var button = $('<button/>');\n",
       "        button.addClass('ui-button ui-widget ui-state-default ui-corner-all ' +\n",
       "                        'ui-button-icon-only');\n",
       "        button.attr('role', 'button');\n",
       "        button.attr('aria-disabled', 'false');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "\n",
       "        var icon_img = $('<span/>');\n",
       "        icon_img.addClass('ui-button-icon-primary ui-icon');\n",
       "        icon_img.addClass(image);\n",
       "        icon_img.addClass('ui-corner-all');\n",
       "\n",
       "        var tooltip_span = $('<span/>');\n",
       "        tooltip_span.addClass('ui-button-text');\n",
       "        tooltip_span.html(tooltip);\n",
       "\n",
       "        button.append(icon_img);\n",
       "        button.append(tooltip_span);\n",
       "\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    var fmt_picker_span = $('<span/>');\n",
       "\n",
       "    var fmt_picker = $('<select/>');\n",
       "    fmt_picker.addClass('mpl-toolbar-option ui-widget ui-widget-content');\n",
       "    fmt_picker_span.append(fmt_picker);\n",
       "    nav_element.append(fmt_picker_span);\n",
       "    this.format_dropdown = fmt_picker[0];\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = $(\n",
       "            '<option/>', {selected: fmt === mpl.default_extension}).html(fmt);\n",
       "        fmt_picker.append(option);\n",
       "    }\n",
       "\n",
       "    // Add hover states to the ui-buttons\n",
       "    $( \".ui-button\" ).hover(\n",
       "        function() { $(this).addClass(\"ui-state-hover\");},\n",
       "        function() { $(this).removeClass(\"ui-state-hover\");}\n",
       "    );\n",
       "\n",
       "    var status_bar = $('<span class=\"mpl-message\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\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",
       "\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",
       "\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]);\n",
       "        fig.send_message(\"refresh\", {});\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function(fig, msg) {\n",
       "    var x0 = msg['x0'] / mpl.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / mpl.ratio;\n",
       "    var x1 = msg['x1'] / mpl.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / mpl.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, 0, fig.canvas.width / mpl.ratio, fig.canvas.height / mpl.ratio);\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",
       "    {\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.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",
       "            /* 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",
       "            evt.data.type = \"image/png\";\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",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                evt.data);\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "        else if (typeof evt.data === 'string' && evt.data.slice(0, 21) == \"data:image/png;base64\") {\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(\"No handler for the '\" + msg_type + \"' message type: \", msg);\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(\"Exception inside the 'handler_\" + msg_type + \"' callback:\", e, e.stack, msg);\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",
       "    if (e.target)\n",
       "        targ = e.target;\n",
       "    else if (e.srcElement)\n",
       "        targ = e.srcElement;\n",
       "    if (targ.nodeType == 3) // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "\n",
       "    // jQuery normalizes the pageX and pageY\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    // offset() returns the position of the element relative to the document\n",
       "    var x = e.pageX - $(targ).offset().left;\n",
       "    var y = e.pageY - $(targ).offset().top;\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",
       "    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",
       "    {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * mpl.ratio;\n",
       "    var y = canvas_pos.y * mpl.ratio;\n",
       "\n",
       "    this.send_message(name, {x: x, y: y, button: event.button,\n",
       "                             step: event.step,\n",
       "                             guiEvent: simpleKeys(event)});\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",
       "\n",
       "    // Prevent repeat events\n",
       "    if (name == 'key_press')\n",
       "    {\n",
       "        if (event.which === this._key)\n",
       "            return;\n",
       "        else\n",
       "            this._key = event.which;\n",
       "    }\n",
       "    if (name == 'key_release')\n",
       "        this._key = null;\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.which != 17)\n",
       "        value += \"ctrl+\";\n",
       "    if (event.altKey && event.which != 18)\n",
       "        value += \"alt+\";\n",
       "    if (event.shiftKey && event.which != 16)\n",
       "        value += \"shift+\";\n",
       "\n",
       "    value += 'k';\n",
       "    value += event.which.toString();\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, {key: value,\n",
       "                             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",
       "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\", \"Pan axes with left mouse, zoom with right\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";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.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",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(msg['content']['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 = $(\"#\" + id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm)\n",
       "\n",
       "    function ondownload(figure, format) {\n",
       "        window.open(figure.imageObj.src);\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy,\n",
       "                           ondownload,\n",
       "                           element.get(0));\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.get(0);\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",
       "\n",
       "    var output_index = fig.cell_info[2]\n",
       "    var cell = fig.cell_info[0];\n",
       "\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function(fig, msg) {\n",
       "    var width = fig.canvas.width/mpl.ratio\n",
       "    fig.root.unbind('remove')\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).html('<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/mpl.ratio\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] = '<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 () { fig.push_to_output() }, 1000);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\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) { continue; };\n",
       "\n",
       "        var button = $('<button class=\"btn btn-default\" href=\"#\" title=\"' + name + '\"><i class=\"fa ' + image + ' fa-lg\"></i></button>');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = $('<span class=\"mpl-message\" style=\"text-align:right; float: right;\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = $('<div class=\"btn-group inline pull-right\"></div>');\n",
       "    var button = $('<button class=\"btn btn-mini btn-primary\" href=\"#\" title=\"Stop Interaction\"><i class=\"fa fa-power-off icon-remove icon-large\"></i></button>');\n",
       "    button.click(function (evt) { fig.handle_close(fig, {}); } );\n",
       "    button.mouseover('Stop Interaction', toolbar_mouse_event);\n",
       "    buttongrp.append(button);\n",
       "    var titlebar = this.root.find($('.ui-dialog-titlebar'));\n",
       "    titlebar.prepend(buttongrp);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(el){\n",
       "    var fig = this\n",
       "    el.on(\"remove\", function(){\n",
       "\tfig.close_ws(fig, {});\n",
       "    });\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(el){\n",
       "    // this is important to make the div 'focusable\n",
       "    el.attr('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",
       "    }\n",
       "    else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\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",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which == 13) {\n",
       "        this.canvas_div.blur();\n",
       "        event.shiftKey = false;\n",
       "        // Send a \"J\" for go to next cell\n",
       "        event.which = 74;\n",
       "        event.keyCode = 74;\n",
       "        manager.command_mode();\n",
       "        manager.handle_keydown(event);\n",
       "    }\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "}\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('matplotlib', mpl.mpl_figure_comm);\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
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\" width=\"600\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, (ax, ax2) = plt.subplots(2,1, sharex=True, figsize=(6,5), gridspec_kw={'height_ratios':[1,2]})\n",
    "plt.ylabel('Octet F1 (macro)')\n",
    "\n",
    "\n",
    "\n",
    "colors = {'Unigram':'C1', \n",
    "         'Bag-of-atoms':'C0',\n",
    "         'Bag-of-neighbors':'C4',\n",
    "         'transformer':'C3',\n",
    "         'transformer bond':'C2',\n",
    "         'OctetRule':'C5',\n",
    "         'Bag-of-atoms_old':'W',\n",
    "         'Bag-of-neighbors_old':'W'}\n",
    "\n",
    "for key, group in results_mask2['f1 macro (octet)'].reset_index().groupby('model_name_short'):\n",
    "    if 'Octet' not in key and 'old' not in key:\n",
    "        group.plot('num_masks','mean',yerr='std', label=key, ax=ax, color=colors[key])\n",
    "        if 'bond' not in key:\n",
    "            group.plot('num_masks','mean',yerr='std', label=key, ax=ax2, color=colors[key])\n",
    "\n",
    "#ax.set_xticks(np.arange(1,6, 1.0))\n",
    "ax.set_ylim([0.99972, 1.0001])\n",
    "ax.set_yticks([0.9997,0.9998, 0.9999,1])\n",
    "ax2.set_ylim([0.1, 0.96])\n",
    "\n",
    "ax.spines['bottom'].set_visible(False)\n",
    "ax2.spines['top'].set_visible(False)\n",
    "ax.xaxis.tick_top()\n",
    "ax.tick_params(labeltop=False, top=False)\n",
    "ax2.xaxis.tick_bottom()\n",
    "\n",
    "d = .015  # how big to make the diagonal lines in axes coordinates\n",
    "# arguments to pass plot, just so we don't keep repeating them\n",
    "kwargs = dict(transform=ax.transAxes, color='k', clip_on=False)\n",
    "ax.plot((-d, +d), (-d, +d), **kwargs)        # top-left diagonal\n",
    "ax.plot((1 - d, 1 + d), (-d, +d), **kwargs)  # top-right diagonal\n",
    "\n",
    "kwargs.update(transform=ax2.transAxes)  # switch to the bottom axes\n",
    "ax2.plot((-d, +d), (1 - d, 1 + d), **kwargs)  # bottom-left diagonal\n",
    "ax2.plot((1 - d, 1 + d), (1 - d, 1 + d), **kwargs)  # bottom-right diagonal\n",
    "\n",
    "#ax2.set_xlim([0.9, 5.1])\n",
    "#ax2.set_xticks(np.arange(1,6, 1.0))\n",
    "ax2.set_yticks([0.2,0.4,0.6,0.8,0.94])\n",
    "ax.get_legend().remove()\n",
    "ax2.get_legend().remove()\n",
    "ax2.set_xlabel('$n_{masks}$', fontsize=15)\n",
    "\n",
    "ax2.annotate('Unigram', xy=(17,0.35), xytext=(20,0.55),arrowprops={'arrowstyle':'->',})\n",
    "ax2.annotate('Bag-of-Atoms', xy=(4.5,0.4), xytext=(2.5,0.6),arrowprops={'arrowstyle':'->'})\n",
    "ax2.annotate('Binary-Transformer', xy=(20,0.9), xytext=(20,0.80),arrowprops={'arrowstyle':'->'})\n",
    "ax2.annotate('Bag-of-Neighbors', xy=(3,0.75), xytext=(5,0.85),arrowprops={'arrowstyle':'->'})\n",
    "#ax.annotate('-Rule-Unigram', xy=(4,1), xytext=(6,1.00004),arrowprops={'arrowstyle':'->'})\n",
    "ax.annotate('Bond-Transformer', xy=(7,0.99995), xytext=(10,0.99985),arrowprops={'arrowstyle':'->'})\n",
    "\n",
    "plt.savefig('images/octet_f1_macro_vs_nmask_qm9.pdf')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "window.mpl = {};\n",
       "\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('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",
       "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 = $('<div/>');\n",
       "    this._root_extra_style(this.root)\n",
       "    this.root.attr('style', 'display: inline-block');\n",
       "\n",
       "    $(parent_element).append(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 (mpl.ratio != 1) {\n",
       "                fig.send_message(\"set_dpi_ratio\", {'dpi_ratio': mpl.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 = $(\n",
       "        '<div class=\"ui-dialog-titlebar ui-widget-header ui-corner-all ' +\n",
       "        'ui-helper-clearfix\"/>');\n",
       "    var titletext = $(\n",
       "        '<div class=\"ui-dialog-title\" style=\"width: 100%; ' +\n",
       "        'text-align: center; padding: 3px;\"/>');\n",
       "    titlebar.append(titletext)\n",
       "    this.root.append(titlebar);\n",
       "    this.header = titletext[0];\n",
       "}\n",
       "\n",
       "\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = $('<div/>');\n",
       "\n",
       "    canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n",
       "\n",
       "    function canvas_keyboard_event(event) {\n",
       "        return fig.key_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    canvas_div.keydown('key_press', canvas_keyboard_event);\n",
       "    canvas_div.keyup('key_release', canvas_keyboard_event);\n",
       "    this.canvas_div = canvas_div\n",
       "    this._canvas_extra_style(canvas_div)\n",
       "    this.root.append(canvas_div);\n",
       "\n",
       "    var canvas = $('<canvas/>');\n",
       "    canvas.addClass('mpl-canvas');\n",
       "    canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n",
       "\n",
       "    this.canvas = canvas[0];\n",
       "    this.context = canvas[0].getContext(\"2d\");\n",
       "\n",
       "    var backingStore = this.context.backingStorePixelRatio ||\n",
       "\tthis.context.webkitBackingStorePixelRatio ||\n",
       "\tthis.context.mozBackingStorePixelRatio ||\n",
       "\tthis.context.msBackingStorePixelRatio ||\n",
       "\tthis.context.oBackingStorePixelRatio ||\n",
       "\tthis.context.backingStorePixelRatio || 1;\n",
       "\n",
       "    mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband = $('<canvas/>');\n",
       "    rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n",
       "\n",
       "    var pass_mouse_events = true;\n",
       "\n",
       "    canvas_div.resizable({\n",
       "        start: function(event, ui) {\n",
       "            pass_mouse_events = false;\n",
       "        },\n",
       "        resize: function(event, ui) {\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "        stop: function(event, ui) {\n",
       "            pass_mouse_events = true;\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "    });\n",
       "\n",
       "    function mouse_event_fn(event) {\n",
       "        if (pass_mouse_events)\n",
       "            return fig.mouse_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    rubberband.mousedown('button_press', mouse_event_fn);\n",
       "    rubberband.mouseup('button_release', mouse_event_fn);\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband.mousemove('motion_notify', mouse_event_fn);\n",
       "\n",
       "    rubberband.mouseenter('figure_enter', mouse_event_fn);\n",
       "    rubberband.mouseleave('figure_leave', mouse_event_fn);\n",
       "\n",
       "    canvas_div.on(\"wheel\", function (event) {\n",
       "        event = event.originalEvent;\n",
       "        event['data'] = 'scroll'\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        mouse_event_fn(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.append(canvas);\n",
       "    canvas_div.append(rubberband);\n",
       "\n",
       "    this.rubberband = rubberband;\n",
       "    this.rubberband_canvas = rubberband[0];\n",
       "    this.rubberband_context = rubberband[0].getContext(\"2d\");\n",
       "    this.rubberband_context.strokeStyle = \"#000000\";\n",
       "\n",
       "    this._resize_canvas = function(width, height) {\n",
       "        // Keep the size of the canvas, canvas container, and rubber band\n",
       "        // canvas in synch.\n",
       "        canvas_div.css('width', width)\n",
       "        canvas_div.css('height', height)\n",
       "\n",
       "        canvas.attr('width', width * mpl.ratio);\n",
       "        canvas.attr('height', height * mpl.ratio);\n",
       "        canvas.attr('style', 'width: ' + width + 'px; height: ' + height + 'px;');\n",
       "\n",
       "        rubberband.attr('width', width);\n",
       "        rubberband.attr('height', height);\n",
       "    }\n",
       "\n",
       "    // Set the figure to an initial 600x600px, this will subsequently be updated\n",
       "    // upon first draw.\n",
       "    this._resize_canvas(600, 600);\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\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 nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\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",
       "            // put a spacer in here.\n",
       "            continue;\n",
       "        }\n",
       "        var button = $('<button/>');\n",
       "        button.addClass('ui-button ui-widget ui-state-default ui-corner-all ' +\n",
       "                        'ui-button-icon-only');\n",
       "        button.attr('role', 'button');\n",
       "        button.attr('aria-disabled', 'false');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "\n",
       "        var icon_img = $('<span/>');\n",
       "        icon_img.addClass('ui-button-icon-primary ui-icon');\n",
       "        icon_img.addClass(image);\n",
       "        icon_img.addClass('ui-corner-all');\n",
       "\n",
       "        var tooltip_span = $('<span/>');\n",
       "        tooltip_span.addClass('ui-button-text');\n",
       "        tooltip_span.html(tooltip);\n",
       "\n",
       "        button.append(icon_img);\n",
       "        button.append(tooltip_span);\n",
       "\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    var fmt_picker_span = $('<span/>');\n",
       "\n",
       "    var fmt_picker = $('<select/>');\n",
       "    fmt_picker.addClass('mpl-toolbar-option ui-widget ui-widget-content');\n",
       "    fmt_picker_span.append(fmt_picker);\n",
       "    nav_element.append(fmt_picker_span);\n",
       "    this.format_dropdown = fmt_picker[0];\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = $(\n",
       "            '<option/>', {selected: fmt === mpl.default_extension}).html(fmt);\n",
       "        fmt_picker.append(option);\n",
       "    }\n",
       "\n",
       "    // Add hover states to the ui-buttons\n",
       "    $( \".ui-button\" ).hover(\n",
       "        function() { $(this).addClass(\"ui-state-hover\");},\n",
       "        function() { $(this).removeClass(\"ui-state-hover\");}\n",
       "    );\n",
       "\n",
       "    var status_bar = $('<span class=\"mpl-message\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\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",
       "\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",
       "\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]);\n",
       "        fig.send_message(\"refresh\", {});\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function(fig, msg) {\n",
       "    var x0 = msg['x0'] / mpl.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / mpl.ratio;\n",
       "    var x1 = msg['x1'] / mpl.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / mpl.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, 0, fig.canvas.width / mpl.ratio, fig.canvas.height / mpl.ratio);\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",
       "    {\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.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",
       "            /* 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",
       "            evt.data.type = \"image/png\";\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",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                evt.data);\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "        else if (typeof evt.data === 'string' && evt.data.slice(0, 21) == \"data:image/png;base64\") {\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(\"No handler for the '\" + msg_type + \"' message type: \", msg);\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(\"Exception inside the 'handler_\" + msg_type + \"' callback:\", e, e.stack, msg);\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",
       "    if (e.target)\n",
       "        targ = e.target;\n",
       "    else if (e.srcElement)\n",
       "        targ = e.srcElement;\n",
       "    if (targ.nodeType == 3) // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "\n",
       "    // jQuery normalizes the pageX and pageY\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    // offset() returns the position of the element relative to the document\n",
       "    var x = e.pageX - $(targ).offset().left;\n",
       "    var y = e.pageY - $(targ).offset().top;\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",
       "    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",
       "    {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * mpl.ratio;\n",
       "    var y = canvas_pos.y * mpl.ratio;\n",
       "\n",
       "    this.send_message(name, {x: x, y: y, button: event.button,\n",
       "                             step: event.step,\n",
       "                             guiEvent: simpleKeys(event)});\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",
       "\n",
       "    // Prevent repeat events\n",
       "    if (name == 'key_press')\n",
       "    {\n",
       "        if (event.which === this._key)\n",
       "            return;\n",
       "        else\n",
       "            this._key = event.which;\n",
       "    }\n",
       "    if (name == 'key_release')\n",
       "        this._key = null;\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.which != 17)\n",
       "        value += \"ctrl+\";\n",
       "    if (event.altKey && event.which != 18)\n",
       "        value += \"alt+\";\n",
       "    if (event.shiftKey && event.which != 16)\n",
       "        value += \"shift+\";\n",
       "\n",
       "    value += 'k';\n",
       "    value += event.which.toString();\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, {key: value,\n",
       "                             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",
       "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\", \"Pan axes with left mouse, zoom with right\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";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.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",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(msg['content']['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 = $(\"#\" + id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm)\n",
       "\n",
       "    function ondownload(figure, format) {\n",
       "        window.open(figure.imageObj.src);\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy,\n",
       "                           ondownload,\n",
       "                           element.get(0));\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.get(0);\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",
       "\n",
       "    var output_index = fig.cell_info[2]\n",
       "    var cell = fig.cell_info[0];\n",
       "\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function(fig, msg) {\n",
       "    var width = fig.canvas.width/mpl.ratio\n",
       "    fig.root.unbind('remove')\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).html('<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/mpl.ratio\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] = '<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 () { fig.push_to_output() }, 1000);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\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) { continue; };\n",
       "\n",
       "        var button = $('<button class=\"btn btn-default\" href=\"#\" title=\"' + name + '\"><i class=\"fa ' + image + ' fa-lg\"></i></button>');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = $('<span class=\"mpl-message\" style=\"text-align:right; float: right;\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = $('<div class=\"btn-group inline pull-right\"></div>');\n",
       "    var button = $('<button class=\"btn btn-mini btn-primary\" href=\"#\" title=\"Stop Interaction\"><i class=\"fa fa-power-off icon-remove icon-large\"></i></button>');\n",
       "    button.click(function (evt) { fig.handle_close(fig, {}); } );\n",
       "    button.mouseover('Stop Interaction', toolbar_mouse_event);\n",
       "    buttongrp.append(button);\n",
       "    var titlebar = this.root.find($('.ui-dialog-titlebar'));\n",
       "    titlebar.prepend(buttongrp);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(el){\n",
       "    var fig = this\n",
       "    el.on(\"remove\", function(){\n",
       "\tfig.close_ws(fig, {});\n",
       "    });\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(el){\n",
       "    // this is important to make the div 'focusable\n",
       "    el.attr('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",
       "    }\n",
       "    else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\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",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which == 13) {\n",
       "        this.canvas_div.blur();\n",
       "        event.shiftKey = false;\n",
       "        // Send a \"J\" for go to next cell\n",
       "        event.which = 74;\n",
       "        event.keyCode = 74;\n",
       "        manager.command_mode();\n",
       "        manager.handle_keydown(event);\n",
       "    }\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "}\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('matplotlib', mpl.mpl_figure_comm);\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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\" width=\"600\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, (ax, ax2) = plt.subplots(2,1, sharex=True, figsize=(6,5), gridspec_kw={'height_ratios':[1,2]})\n",
    "plt.ylabel('F1 (micro)')\n",
    "\n",
    "\n",
    "\n",
    "colors = {'Unigram':'C1', \n",
    "         'Bag-of-atoms':'C0',\n",
    "         'Bag-of-neighbors':'C4',\n",
    "         'transformer':'C3',\n",
    "         'transformer bond':'C2',\n",
    "         'OctetRule':'C5',\n",
    "         'Bag-of-atoms_old':'W',\n",
    "         'Bag-of-neighbors_old':'W'}\n",
    "\n",
    "for key, group in results_mask2['f1 micro'].reset_index().groupby('model_name_short'):\n",
    "    if 'Octet' not in key and 'old' not in key:\n",
    "        group.plot('num_masks','mean',yerr='std', label=key, ax=ax, color=colors[key])\n",
    "        if 'bond' not in key:\n",
    "            group.plot('num_masks','mean',yerr='std', label=key, ax=ax2, color=colors[key])\n",
    "\n",
    "#ax.set_xticks(np.arange(1,6, 1.0))\n",
    "ax.set_ylim([0.99972, 1.00001])\n",
    "ax2.set_ylim([0.4, 0.999])\n",
    "\n",
    "ax.spines['bottom'].set_visible(False)\n",
    "ax2.spines['top'].set_visible(False)\n",
    "ax.xaxis.tick_top()\n",
    "ax.tick_params(labeltop=False, top=False)\n",
    "ax2.xaxis.tick_bottom()\n",
    "\n",
    "d = .015  # how big to make the diagonal lines in axes coordinates\n",
    "# arguments to pass plot, just so we don't keep repeating them\n",
    "kwargs = dict(transform=ax.transAxes, color='k', clip_on=False)\n",
    "ax.plot((-d, +d), (-d, +d), **kwargs)        # top-left diagonal\n",
    "ax.plot((1 - d, 1 + d), (-d, +d), **kwargs)  # top-right diagonal\n",
    "\n",
    "kwargs.update(transform=ax2.transAxes)  # switch to the bottom axes\n",
    "ax2.plot((-d, +d), (1 - d, 1 + d), **kwargs)  # bottom-left diagonal\n",
    "ax2.plot((1 - d, 1 + d), (1 - d, 1 + d), **kwargs)  # bottom-right diagonal\n",
    "\n",
    "#ax2.set_xlim([0.9, 5.1])\n",
    "#ax2.set_xticks(np.arange(1,6, 1.0))\n",
    "ax2.set_yticks([0.5,0.6,0.7,0.8,0.9,0.998])\n",
    "ax.get_legend().remove()\n",
    "ax2.get_legend().remove()\n",
    "ax2.set_xlabel('$n_{masks}$', fontsize=15)\n",
    "\n",
    "ax2.annotate('Unigram', xy=(17,0.48), xytext=(20,0.55),arrowprops={'arrowstyle':'->',})\n",
    "ax2.annotate('Bag-of-Atoms', xy=(4.5,0.55), xytext=(2.5,0.7),arrowprops={'arrowstyle':'->'})\n",
    "ax2.annotate('Bag-of-Neighbors', xy=(20,0.9), xytext=(20,0.80),arrowprops={'arrowstyle':'->'})\n",
    "ax2.annotate('Binary-Transformer', xy=(3,0.98), xytext=(5,0.85),arrowprops={'arrowstyle':'->'})\n",
    "#ax.annotate('Octet-Rule-Unigram', xy=(4,1), xytext=(6,1.00004),arrowprops={'arrowstyle':'->'})\n",
    "ax.annotate('Bond-Transformer', xy=(7,0.9998), xytext=(10,0.99975),arrowprops={'arrowstyle':'->'})\n",
    "\n",
    "plt.savefig('images/sample_f1_micro_vs_nmask_qm9.pdf')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "window.mpl = {};\n",
       "\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('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",
       "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 = $('<div/>');\n",
       "    this._root_extra_style(this.root)\n",
       "    this.root.attr('style', 'display: inline-block');\n",
       "\n",
       "    $(parent_element).append(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 (mpl.ratio != 1) {\n",
       "                fig.send_message(\"set_dpi_ratio\", {'dpi_ratio': mpl.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 = $(\n",
       "        '<div class=\"ui-dialog-titlebar ui-widget-header ui-corner-all ' +\n",
       "        'ui-helper-clearfix\"/>');\n",
       "    var titletext = $(\n",
       "        '<div class=\"ui-dialog-title\" style=\"width: 100%; ' +\n",
       "        'text-align: center; padding: 3px;\"/>');\n",
       "    titlebar.append(titletext)\n",
       "    this.root.append(titlebar);\n",
       "    this.header = titletext[0];\n",
       "}\n",
       "\n",
       "\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = $('<div/>');\n",
       "\n",
       "    canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n",
       "\n",
       "    function canvas_keyboard_event(event) {\n",
       "        return fig.key_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    canvas_div.keydown('key_press', canvas_keyboard_event);\n",
       "    canvas_div.keyup('key_release', canvas_keyboard_event);\n",
       "    this.canvas_div = canvas_div\n",
       "    this._canvas_extra_style(canvas_div)\n",
       "    this.root.append(canvas_div);\n",
       "\n",
       "    var canvas = $('<canvas/>');\n",
       "    canvas.addClass('mpl-canvas');\n",
       "    canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n",
       "\n",
       "    this.canvas = canvas[0];\n",
       "    this.context = canvas[0].getContext(\"2d\");\n",
       "\n",
       "    var backingStore = this.context.backingStorePixelRatio ||\n",
       "\tthis.context.webkitBackingStorePixelRatio ||\n",
       "\tthis.context.mozBackingStorePixelRatio ||\n",
       "\tthis.context.msBackingStorePixelRatio ||\n",
       "\tthis.context.oBackingStorePixelRatio ||\n",
       "\tthis.context.backingStorePixelRatio || 1;\n",
       "\n",
       "    mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband = $('<canvas/>');\n",
       "    rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n",
       "\n",
       "    var pass_mouse_events = true;\n",
       "\n",
       "    canvas_div.resizable({\n",
       "        start: function(event, ui) {\n",
       "            pass_mouse_events = false;\n",
       "        },\n",
       "        resize: function(event, ui) {\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "        stop: function(event, ui) {\n",
       "            pass_mouse_events = true;\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "    });\n",
       "\n",
       "    function mouse_event_fn(event) {\n",
       "        if (pass_mouse_events)\n",
       "            return fig.mouse_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    rubberband.mousedown('button_press', mouse_event_fn);\n",
       "    rubberband.mouseup('button_release', mouse_event_fn);\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband.mousemove('motion_notify', mouse_event_fn);\n",
       "\n",
       "    rubberband.mouseenter('figure_enter', mouse_event_fn);\n",
       "    rubberband.mouseleave('figure_leave', mouse_event_fn);\n",
       "\n",
       "    canvas_div.on(\"wheel\", function (event) {\n",
       "        event = event.originalEvent;\n",
       "        event['data'] = 'scroll'\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        mouse_event_fn(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.append(canvas);\n",
       "    canvas_div.append(rubberband);\n",
       "\n",
       "    this.rubberband = rubberband;\n",
       "    this.rubberband_canvas = rubberband[0];\n",
       "    this.rubberband_context = rubberband[0].getContext(\"2d\");\n",
       "    this.rubberband_context.strokeStyle = \"#000000\";\n",
       "\n",
       "    this._resize_canvas = function(width, height) {\n",
       "        // Keep the size of the canvas, canvas container, and rubber band\n",
       "        // canvas in synch.\n",
       "        canvas_div.css('width', width)\n",
       "        canvas_div.css('height', height)\n",
       "\n",
       "        canvas.attr('width', width * mpl.ratio);\n",
       "        canvas.attr('height', height * mpl.ratio);\n",
       "        canvas.attr('style', 'width: ' + width + 'px; height: ' + height + 'px;');\n",
       "\n",
       "        rubberband.attr('width', width);\n",
       "        rubberband.attr('height', height);\n",
       "    }\n",
       "\n",
       "    // Set the figure to an initial 600x600px, this will subsequently be updated\n",
       "    // upon first draw.\n",
       "    this._resize_canvas(600, 600);\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\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 nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\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",
       "            // put a spacer in here.\n",
       "            continue;\n",
       "        }\n",
       "        var button = $('<button/>');\n",
       "        button.addClass('ui-button ui-widget ui-state-default ui-corner-all ' +\n",
       "                        'ui-button-icon-only');\n",
       "        button.attr('role', 'button');\n",
       "        button.attr('aria-disabled', 'false');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "\n",
       "        var icon_img = $('<span/>');\n",
       "        icon_img.addClass('ui-button-icon-primary ui-icon');\n",
       "        icon_img.addClass(image);\n",
       "        icon_img.addClass('ui-corner-all');\n",
       "\n",
       "        var tooltip_span = $('<span/>');\n",
       "        tooltip_span.addClass('ui-button-text');\n",
       "        tooltip_span.html(tooltip);\n",
       "\n",
       "        button.append(icon_img);\n",
       "        button.append(tooltip_span);\n",
       "\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    var fmt_picker_span = $('<span/>');\n",
       "\n",
       "    var fmt_picker = $('<select/>');\n",
       "    fmt_picker.addClass('mpl-toolbar-option ui-widget ui-widget-content');\n",
       "    fmt_picker_span.append(fmt_picker);\n",
       "    nav_element.append(fmt_picker_span);\n",
       "    this.format_dropdown = fmt_picker[0];\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = $(\n",
       "            '<option/>', {selected: fmt === mpl.default_extension}).html(fmt);\n",
       "        fmt_picker.append(option);\n",
       "    }\n",
       "\n",
       "    // Add hover states to the ui-buttons\n",
       "    $( \".ui-button\" ).hover(\n",
       "        function() { $(this).addClass(\"ui-state-hover\");},\n",
       "        function() { $(this).removeClass(\"ui-state-hover\");}\n",
       "    );\n",
       "\n",
       "    var status_bar = $('<span class=\"mpl-message\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\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",
       "\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",
       "\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]);\n",
       "        fig.send_message(\"refresh\", {});\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function(fig, msg) {\n",
       "    var x0 = msg['x0'] / mpl.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / mpl.ratio;\n",
       "    var x1 = msg['x1'] / mpl.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / mpl.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, 0, fig.canvas.width / mpl.ratio, fig.canvas.height / mpl.ratio);\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",
       "    {\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.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",
       "            /* 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",
       "            evt.data.type = \"image/png\";\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",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                evt.data);\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "        else if (typeof evt.data === 'string' && evt.data.slice(0, 21) == \"data:image/png;base64\") {\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(\"No handler for the '\" + msg_type + \"' message type: \", msg);\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(\"Exception inside the 'handler_\" + msg_type + \"' callback:\", e, e.stack, msg);\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",
       "    if (e.target)\n",
       "        targ = e.target;\n",
       "    else if (e.srcElement)\n",
       "        targ = e.srcElement;\n",
       "    if (targ.nodeType == 3) // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "\n",
       "    // jQuery normalizes the pageX and pageY\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    // offset() returns the position of the element relative to the document\n",
       "    var x = e.pageX - $(targ).offset().left;\n",
       "    var y = e.pageY - $(targ).offset().top;\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",
       "    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",
       "    {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * mpl.ratio;\n",
       "    var y = canvas_pos.y * mpl.ratio;\n",
       "\n",
       "    this.send_message(name, {x: x, y: y, button: event.button,\n",
       "                             step: event.step,\n",
       "                             guiEvent: simpleKeys(event)});\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",
       "\n",
       "    // Prevent repeat events\n",
       "    if (name == 'key_press')\n",
       "    {\n",
       "        if (event.which === this._key)\n",
       "            return;\n",
       "        else\n",
       "            this._key = event.which;\n",
       "    }\n",
       "    if (name == 'key_release')\n",
       "        this._key = null;\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.which != 17)\n",
       "        value += \"ctrl+\";\n",
       "    if (event.altKey && event.which != 18)\n",
       "        value += \"alt+\";\n",
       "    if (event.shiftKey && event.which != 16)\n",
       "        value += \"shift+\";\n",
       "\n",
       "    value += 'k';\n",
       "    value += event.which.toString();\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, {key: value,\n",
       "                             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",
       "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\", \"Pan axes with left mouse, zoom with right\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";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.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",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(msg['content']['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 = $(\"#\" + id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm)\n",
       "\n",
       "    function ondownload(figure, format) {\n",
       "        window.open(figure.imageObj.src);\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy,\n",
       "                           ondownload,\n",
       "                           element.get(0));\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.get(0);\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",
       "\n",
       "    var output_index = fig.cell_info[2]\n",
       "    var cell = fig.cell_info[0];\n",
       "\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function(fig, msg) {\n",
       "    var width = fig.canvas.width/mpl.ratio\n",
       "    fig.root.unbind('remove')\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).html('<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/mpl.ratio\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] = '<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 () { fig.push_to_output() }, 1000);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\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) { continue; };\n",
       "\n",
       "        var button = $('<button class=\"btn btn-default\" href=\"#\" title=\"' + name + '\"><i class=\"fa ' + image + ' fa-lg\"></i></button>');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = $('<span class=\"mpl-message\" style=\"text-align:right; float: right;\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = $('<div class=\"btn-group inline pull-right\"></div>');\n",
       "    var button = $('<button class=\"btn btn-mini btn-primary\" href=\"#\" title=\"Stop Interaction\"><i class=\"fa fa-power-off icon-remove icon-large\"></i></button>');\n",
       "    button.click(function (evt) { fig.handle_close(fig, {}); } );\n",
       "    button.mouseover('Stop Interaction', toolbar_mouse_event);\n",
       "    buttongrp.append(button);\n",
       "    var titlebar = this.root.find($('.ui-dialog-titlebar'));\n",
       "    titlebar.prepend(buttongrp);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(el){\n",
       "    var fig = this\n",
       "    el.on(\"remove\", function(){\n",
       "\tfig.close_ws(fig, {});\n",
       "    });\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(el){\n",
       "    // this is important to make the div 'focusable\n",
       "    el.attr('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",
       "    }\n",
       "    else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\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",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which == 13) {\n",
       "        this.canvas_div.blur();\n",
       "        event.shiftKey = false;\n",
       "        // Send a \"J\" for go to next cell\n",
       "        event.which = 74;\n",
       "        event.keyCode = 74;\n",
       "        manager.command_mode();\n",
       "        manager.handle_keydown(event);\n",
       "    }\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "}\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('matplotlib', mpl.mpl_figure_comm);\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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\" width=\"600\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(1,1, figsize=(6,5))\n",
    "plt.ylabel('F1 (macro)')\n",
    "\n",
    "\n",
    "\n",
    "for key, group in results_mask2['f1 macro'].reset_index().groupby('model_name_short'):\n",
    "    if 'old' in key: continue\n",
    "    #group.plot('num_masks','mean',yerr='std', label=key, ax=ax)\n",
    "\n",
    "    group.plot('num_masks','mean',yerr='std', label=key, ax=ax, color=colors[key])\n",
    "\n",
    "#ax.set_xticks(np.arange(1,6, 1.0))\n",
    "#ax.set_ylim([0.97, 1.00001])\n",
    "#ax.set_ylim([0.4, 1])\n",
    "\n",
    "\n",
    "#ax2.set_xlim([0.9, 5.1])\n",
    "#ax2.set_xticks(np.arange(1,6, 1.0))\n",
    "#ax.set_xticks([1,5,10,15,20,25,30,90])\n",
    "#ax.set_yticks([0.5,0.6,0.7,0.8,0.9,1])\n",
    "#ax.get_legend().remove()\n",
    "ax.get_legend().remove()\n",
    "ax.set_xlabel('$n_{masks}$', fontsize=15)\n",
    "\n",
    "ax.annotate('Unigram', xy=(5,0.12), xytext=(-3,0.01),arrowprops={'arrowstyle':'->',})\n",
    "ax.annotate('Bag-of-Atoms', xy=(15,0.2), xytext=(15,0.25),arrowprops={'arrowstyle':'->'})\n",
    "ax.annotate('Bag-of-Neighbors', xy=(15,0.52), xytext=(15,0.4),arrowprops={'arrowstyle':'->'})\n",
    "ax.annotate('Binary-Transformer', xy=(20,0.7), xytext=(20,0.63),arrowprops={'arrowstyle':'->'})\n",
    "#ax.annotate('Octet-Rule-Unigram', xy=(10,0.38), xytext=(10,0.3),arrowprops={'arrowstyle':'->'})\n",
    "ax.annotate('Bond-Transformer', xy=(20,0.8), xytext=(20,0.75),arrowprops={'arrowstyle':'->'})\n",
    "\n",
    "\n",
    "plt.savefig('images/sample_f1_macro_vs_nmask_qm9.pdf')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead tr th {\n",
       "        text-align: left;\n",
       "    }\n",
       "\n",
       "    .dataframe thead tr:last-of-type th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th colspan=\"2\" halign=\"left\">f1 micro</th>\n",
       "      <th colspan=\"2\" halign=\"left\">f1 macro</th>\n",
       "      <th colspan=\"2\" halign=\"left\">f1 micro (octet)</th>\n",
       "      <th colspan=\"2\" halign=\"left\">f1 macro (octet)</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th>mean</th>\n",
       "      <th>std</th>\n",
       "      <th>mean</th>\n",
       "      <th>std</th>\n",
       "      <th>mean</th>\n",
       "      <th>std</th>\n",
       "      <th>mean</th>\n",
       "      <th>std</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>model_name_short</th>\n",
       "      <th>length</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <td rowspan=\"5\" valign=\"top\">Bag-of-atoms</td>\n",
       "      <td>5</td>\n",
       "      <td>0.100000</td>\n",
       "      <td>0.253859</td>\n",
       "      <td>0.077778</td>\n",
       "      <td>0.166048</td>\n",
       "      <td>0.100000</td>\n",
       "      <td>0.253859</td>\n",
       "      <td>0.077778</td>\n",
       "      <td>0.166048</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>6</td>\n",
       "      <td>0.280000</td>\n",
       "      <td>0.091894</td>\n",
       "      <td>0.217904</td>\n",
       "      <td>0.139404</td>\n",
       "      <td>0.290000</td>\n",
       "      <td>0.087560</td>\n",
       "      <td>0.232626</td>\n",
       "      <td>0.131833</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>7</td>\n",
       "      <td>0.200000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.206111</td>\n",
       "      <td>0.061262</td>\n",
       "      <td>0.200000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.206111</td>\n",
       "      <td>0.061262</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>8</td>\n",
       "      <td>0.205714</td>\n",
       "      <td>0.098791</td>\n",
       "      <td>0.192647</td>\n",
       "      <td>0.056957</td>\n",
       "      <td>0.211429</td>\n",
       "      <td>0.092533</td>\n",
       "      <td>0.196457</td>\n",
       "      <td>0.050397</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>9</td>\n",
       "      <td>0.294286</td>\n",
       "      <td>0.073285</td>\n",
       "      <td>0.221541</td>\n",
       "      <td>0.055688</td>\n",
       "      <td>0.295238</td>\n",
       "      <td>0.072670</td>\n",
       "      <td>0.221913</td>\n",
       "      <td>0.055382</td>\n",
       "    </tr>\n",
       "    <tr>\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",
       "      <td rowspan=\"5\" valign=\"top\">transformer bond</td>\n",
       "      <td>22</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>23</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>24</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>25</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>27</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>176 rows × 8 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "                         f1 micro            f1 macro            \\\n",
       "                             mean       std      mean       std   \n",
       "model_name_short length                                           \n",
       "Bag-of-atoms     5       0.100000  0.253859  0.077778  0.166048   \n",
       "                 6       0.280000  0.091894  0.217904  0.139404   \n",
       "                 7       0.200000  0.000000  0.206111  0.061262   \n",
       "                 8       0.205714  0.098791  0.192647  0.056957   \n",
       "                 9       0.294286  0.073285  0.221541  0.055688   \n",
       "...                           ...       ...       ...       ...   \n",
       "transformer bond 22      1.000000  0.000000  1.000000  0.000000   \n",
       "                 23      1.000000  0.000000  1.000000  0.000000   \n",
       "                 24      1.000000  0.000000  1.000000  0.000000   \n",
       "                 25      1.000000  0.000000  1.000000  0.000000   \n",
       "                 27      1.000000  0.000000  1.000000  0.000000   \n",
       "\n",
       "                        f1 micro (octet)           f1 macro (octet)            \n",
       "                                    mean       std             mean       std  \n",
       "model_name_short length                                                        \n",
       "Bag-of-atoms     5              0.100000  0.253859         0.077778  0.166048  \n",
       "                 6              0.290000  0.087560         0.232626  0.131833  \n",
       "                 7              0.200000  0.000000         0.206111  0.061262  \n",
       "                 8              0.211429  0.092533         0.196457  0.050397  \n",
       "                 9              0.295238  0.072670         0.221913  0.055382  \n",
       "...                                  ...       ...              ...       ...  \n",
       "transformer bond 22             1.000000  0.000000         1.000000  0.000000  \n",
       "                 23             1.000000  0.000000         1.000000  0.000000  \n",
       "                 24             1.000000  0.000000         1.000000  0.000000  \n",
       "                 25             1.000000  0.000000         1.000000  0.000000  \n",
       "                 27             1.000000  0.000000         1.000000  0.000000  \n",
       "\n",
       "[176 rows x 8 columns]"
      ]
     },
     "execution_count": 33,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "results_length2 = results_length.groupby(['model_name_short', 'length']).agg(['mean','std'])\n",
    "results_length2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "window.mpl = {};\n",
       "\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('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",
       "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 = $('<div/>');\n",
       "    this._root_extra_style(this.root)\n",
       "    this.root.attr('style', 'display: inline-block');\n",
       "\n",
       "    $(parent_element).append(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 (mpl.ratio != 1) {\n",
       "                fig.send_message(\"set_dpi_ratio\", {'dpi_ratio': mpl.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 = $(\n",
       "        '<div class=\"ui-dialog-titlebar ui-widget-header ui-corner-all ' +\n",
       "        'ui-helper-clearfix\"/>');\n",
       "    var titletext = $(\n",
       "        '<div class=\"ui-dialog-title\" style=\"width: 100%; ' +\n",
       "        'text-align: center; padding: 3px;\"/>');\n",
       "    titlebar.append(titletext)\n",
       "    this.root.append(titlebar);\n",
       "    this.header = titletext[0];\n",
       "}\n",
       "\n",
       "\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = $('<div/>');\n",
       "\n",
       "    canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n",
       "\n",
       "    function canvas_keyboard_event(event) {\n",
       "        return fig.key_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    canvas_div.keydown('key_press', canvas_keyboard_event);\n",
       "    canvas_div.keyup('key_release', canvas_keyboard_event);\n",
       "    this.canvas_div = canvas_div\n",
       "    this._canvas_extra_style(canvas_div)\n",
       "    this.root.append(canvas_div);\n",
       "\n",
       "    var canvas = $('<canvas/>');\n",
       "    canvas.addClass('mpl-canvas');\n",
       "    canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n",
       "\n",
       "    this.canvas = canvas[0];\n",
       "    this.context = canvas[0].getContext(\"2d\");\n",
       "\n",
       "    var backingStore = this.context.backingStorePixelRatio ||\n",
       "\tthis.context.webkitBackingStorePixelRatio ||\n",
       "\tthis.context.mozBackingStorePixelRatio ||\n",
       "\tthis.context.msBackingStorePixelRatio ||\n",
       "\tthis.context.oBackingStorePixelRatio ||\n",
       "\tthis.context.backingStorePixelRatio || 1;\n",
       "\n",
       "    mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband = $('<canvas/>');\n",
       "    rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n",
       "\n",
       "    var pass_mouse_events = true;\n",
       "\n",
       "    canvas_div.resizable({\n",
       "        start: function(event, ui) {\n",
       "            pass_mouse_events = false;\n",
       "        },\n",
       "        resize: function(event, ui) {\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "        stop: function(event, ui) {\n",
       "            pass_mouse_events = true;\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "    });\n",
       "\n",
       "    function mouse_event_fn(event) {\n",
       "        if (pass_mouse_events)\n",
       "            return fig.mouse_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    rubberband.mousedown('button_press', mouse_event_fn);\n",
       "    rubberband.mouseup('button_release', mouse_event_fn);\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband.mousemove('motion_notify', mouse_event_fn);\n",
       "\n",
       "    rubberband.mouseenter('figure_enter', mouse_event_fn);\n",
       "    rubberband.mouseleave('figure_leave', mouse_event_fn);\n",
       "\n",
       "    canvas_div.on(\"wheel\", function (event) {\n",
       "        event = event.originalEvent;\n",
       "        event['data'] = 'scroll'\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        mouse_event_fn(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.append(canvas);\n",
       "    canvas_div.append(rubberband);\n",
       "\n",
       "    this.rubberband = rubberband;\n",
       "    this.rubberband_canvas = rubberband[0];\n",
       "    this.rubberband_context = rubberband[0].getContext(\"2d\");\n",
       "    this.rubberband_context.strokeStyle = \"#000000\";\n",
       "\n",
       "    this._resize_canvas = function(width, height) {\n",
       "        // Keep the size of the canvas, canvas container, and rubber band\n",
       "        // canvas in synch.\n",
       "        canvas_div.css('width', width)\n",
       "        canvas_div.css('height', height)\n",
       "\n",
       "        canvas.attr('width', width * mpl.ratio);\n",
       "        canvas.attr('height', height * mpl.ratio);\n",
       "        canvas.attr('style', 'width: ' + width + 'px; height: ' + height + 'px;');\n",
       "\n",
       "        rubberband.attr('width', width);\n",
       "        rubberband.attr('height', height);\n",
       "    }\n",
       "\n",
       "    // Set the figure to an initial 600x600px, this will subsequently be updated\n",
       "    // upon first draw.\n",
       "    this._resize_canvas(600, 600);\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\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 nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\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",
       "            // put a spacer in here.\n",
       "            continue;\n",
       "        }\n",
       "        var button = $('<button/>');\n",
       "        button.addClass('ui-button ui-widget ui-state-default ui-corner-all ' +\n",
       "                        'ui-button-icon-only');\n",
       "        button.attr('role', 'button');\n",
       "        button.attr('aria-disabled', 'false');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "\n",
       "        var icon_img = $('<span/>');\n",
       "        icon_img.addClass('ui-button-icon-primary ui-icon');\n",
       "        icon_img.addClass(image);\n",
       "        icon_img.addClass('ui-corner-all');\n",
       "\n",
       "        var tooltip_span = $('<span/>');\n",
       "        tooltip_span.addClass('ui-button-text');\n",
       "        tooltip_span.html(tooltip);\n",
       "\n",
       "        button.append(icon_img);\n",
       "        button.append(tooltip_span);\n",
       "\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    var fmt_picker_span = $('<span/>');\n",
       "\n",
       "    var fmt_picker = $('<select/>');\n",
       "    fmt_picker.addClass('mpl-toolbar-option ui-widget ui-widget-content');\n",
       "    fmt_picker_span.append(fmt_picker);\n",
       "    nav_element.append(fmt_picker_span);\n",
       "    this.format_dropdown = fmt_picker[0];\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = $(\n",
       "            '<option/>', {selected: fmt === mpl.default_extension}).html(fmt);\n",
       "        fmt_picker.append(option);\n",
       "    }\n",
       "\n",
       "    // Add hover states to the ui-buttons\n",
       "    $( \".ui-button\" ).hover(\n",
       "        function() { $(this).addClass(\"ui-state-hover\");},\n",
       "        function() { $(this).removeClass(\"ui-state-hover\");}\n",
       "    );\n",
       "\n",
       "    var status_bar = $('<span class=\"mpl-message\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\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",
       "\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",
       "\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]);\n",
       "        fig.send_message(\"refresh\", {});\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function(fig, msg) {\n",
       "    var x0 = msg['x0'] / mpl.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / mpl.ratio;\n",
       "    var x1 = msg['x1'] / mpl.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / mpl.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, 0, fig.canvas.width / mpl.ratio, fig.canvas.height / mpl.ratio);\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",
       "    {\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.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",
       "            /* 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",
       "            evt.data.type = \"image/png\";\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",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                evt.data);\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "        else if (typeof evt.data === 'string' && evt.data.slice(0, 21) == \"data:image/png;base64\") {\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(\"No handler for the '\" + msg_type + \"' message type: \", msg);\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(\"Exception inside the 'handler_\" + msg_type + \"' callback:\", e, e.stack, msg);\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",
       "    if (e.target)\n",
       "        targ = e.target;\n",
       "    else if (e.srcElement)\n",
       "        targ = e.srcElement;\n",
       "    if (targ.nodeType == 3) // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "\n",
       "    // jQuery normalizes the pageX and pageY\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    // offset() returns the position of the element relative to the document\n",
       "    var x = e.pageX - $(targ).offset().left;\n",
       "    var y = e.pageY - $(targ).offset().top;\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",
       "    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",
       "    {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * mpl.ratio;\n",
       "    var y = canvas_pos.y * mpl.ratio;\n",
       "\n",
       "    this.send_message(name, {x: x, y: y, button: event.button,\n",
       "                             step: event.step,\n",
       "                             guiEvent: simpleKeys(event)});\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",
       "\n",
       "    // Prevent repeat events\n",
       "    if (name == 'key_press')\n",
       "    {\n",
       "        if (event.which === this._key)\n",
       "            return;\n",
       "        else\n",
       "            this._key = event.which;\n",
       "    }\n",
       "    if (name == 'key_release')\n",
       "        this._key = null;\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.which != 17)\n",
       "        value += \"ctrl+\";\n",
       "    if (event.altKey && event.which != 18)\n",
       "        value += \"alt+\";\n",
       "    if (event.shiftKey && event.which != 16)\n",
       "        value += \"shift+\";\n",
       "\n",
       "    value += 'k';\n",
       "    value += event.which.toString();\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, {key: value,\n",
       "                             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",
       "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\", \"Pan axes with left mouse, zoom with right\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";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.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",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(msg['content']['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 = $(\"#\" + id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm)\n",
       "\n",
       "    function ondownload(figure, format) {\n",
       "        window.open(figure.imageObj.src);\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy,\n",
       "                           ondownload,\n",
       "                           element.get(0));\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.get(0);\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",
       "\n",
       "    var output_index = fig.cell_info[2]\n",
       "    var cell = fig.cell_info[0];\n",
       "\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function(fig, msg) {\n",
       "    var width = fig.canvas.width/mpl.ratio\n",
       "    fig.root.unbind('remove')\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).html('<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/mpl.ratio\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] = '<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 () { fig.push_to_output() }, 1000);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\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) { continue; };\n",
       "\n",
       "        var button = $('<button class=\"btn btn-default\" href=\"#\" title=\"' + name + '\"><i class=\"fa ' + image + ' fa-lg\"></i></button>');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = $('<span class=\"mpl-message\" style=\"text-align:right; float: right;\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = $('<div class=\"btn-group inline pull-right\"></div>');\n",
       "    var button = $('<button class=\"btn btn-mini btn-primary\" href=\"#\" title=\"Stop Interaction\"><i class=\"fa fa-power-off icon-remove icon-large\"></i></button>');\n",
       "    button.click(function (evt) { fig.handle_close(fig, {}); } );\n",
       "    button.mouseover('Stop Interaction', toolbar_mouse_event);\n",
       "    buttongrp.append(button);\n",
       "    var titlebar = this.root.find($('.ui-dialog-titlebar'));\n",
       "    titlebar.prepend(buttongrp);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(el){\n",
       "    var fig = this\n",
       "    el.on(\"remove\", function(){\n",
       "\tfig.close_ws(fig, {});\n",
       "    });\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(el){\n",
       "    // this is important to make the div 'focusable\n",
       "    el.attr('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",
       "    }\n",
       "    else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\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",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which == 13) {\n",
       "        this.canvas_div.blur();\n",
       "        event.shiftKey = false;\n",
       "        // Send a \"J\" for go to next cell\n",
       "        event.which = 74;\n",
       "        event.keyCode = 74;\n",
       "        manager.command_mode();\n",
       "        manager.handle_keydown(event);\n",
       "    }\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "}\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('matplotlib', mpl.mpl_figure_comm);\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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/W9UfqtA5bcKvq8m35PQZ2aCoU3mxAHVhRp++ev4smho6nqvI3g7bZMBQQeslw0zIysHvWzYcyO7sG8uMgyLvPgaqydwB74OR2JgV9Bqazbghk8mlLO4X98zNxTRFwvseuI1HFHAIjZJLWBZGAv+efWfVkuDjvTHtLUh5+ln+BuyuaEBLQEBKP9yPrIff8I6bL09FXU7dsKQn993n/09KTKb0aoOQdnsOVZPgnKefgbVK1dBn5Vld1/dWVpaoEtKRtNpP1SvXoOST2cg97nnB/y0J+fJp1Dw1mQUf/QRyr9agOrVa1C/Zy+az52DNiwM7RkZMNXUwqLRDPhJ3WD/zMTqi5CitHrsnRfKbyBvbx14WC/PabJ6OnR2w8CWDY16M27cvpG91nlzm2FY5MZVWy39Hfw6AuqjWdj7ZajV5v6WBvvC5nBFAYvYJLWAdTzzODx8PPCc73OC9Ndw5IhVuOh+Q7Zo26C5qkLZ3Lk9ikUWTpuGut27YSgs6tGnrRu8sbwCtdu3I+/liVZ9FX/4EZovXgTTS3V9IcKCuaEBbTExaDh4kO+rcvFi1G7fjsYTJ9ByLQi6pGQYy8oGdA0KMmSoy7xZid0dT2qu7kqFyTD4MgMWC4Pk66XY17FsqJylRphv/8uGNUXWG9ljLtm3kV0IDMMiJ7Yax7+PtipHcW5jIqqLhkehUEdRwCI2SSlgVWor8cyJZ+Dh44ETWScc7o81mZA36RWbAas7i1YLzeXL3DJbtz1SWWPGonD6f6N+z14YS0oAWAcPi0aDlsBAlP7vv6yX1J57HjUbNsJQUDCosQ8GBSJC7MOyLOKuFvGB4sbRLMFCTVuzwarEw8GvI5B5s+eyIcOwSAiw3shemTfwjexCYCwMcmKq4O+dNuwKhTqKAhaxSSoBi2VZzLkxBx4+Hvg04FNojVqHA5bm0iUu7Lzw4oCCh6WlBc0XLqL0iy96FKEsfPdd1CmVXUHq2eesfr30f/8XLQEBouwJooBFSP8YC4OQ49l8AIq5VOCUQFGR22T19t6Z9QmoLeG+z96+kf3afsc3shNxUMAiNkklYAUWBcLDxwMTjk1AoaZQkMBWOO2vyBoz1ioQDTR4WJqb0XzuHEo//z+bb9blvfQyardtg7G8fMDjFBIFLOKuWurbEXYyB2khZWht1DvtOiajBardafxy3K0w5/6btVgYpASXYt9XXcuGQQdu8RvZ980PQ3a0+EfwkMGjgEVskkLA0hg0mHh6Ijx8POCd6u1wfwCgDQvjNnRPeBKmmhpBgoe5qQlNfn4o+XQG319LQABYM71dQ8hglWY2WBWwVMrV8FsbjwT/YjRWtgkWPvRaE85tTODfjCtMHlzZl8Fo0xhw/XCG1e/xzPoEp25kJ65BAYvYJIWAtTxqOTx8PDD94nQYLUaH+wOAko8/QdaYsajZsHHYVDgnxJ2wLFdMs7McwOk1cTi/OZH//852YnkMoi/ko7pIM+jyBy317fwbcwcWhqMyv1ng3419KvOacGVHCuJVRS7byE6ciwIWsUnsgBVfHc9/XXJtssP9AeiqGu7xGEzV1RSwCJEYY7vZ6rDgkGNZ/EHBuhYjMiIqcHVXKrznhliFrSOKSISdzEFZVqPdAaW+vBWHv73JbyRvrKQCtEQ4FLCITWIGLL1Zj79c+As8fDywOma1w/11Kp/3ZUepgiUAhs8ZfYS4g6bqNr7QpffcEGREVNj8XGO7GXkJNbh24FbXPqZulciDD2eiMLkOJmPv5RXKsxuxv+PrTq2KhbbJ4KzfFhmmKGARm8QMWDuSdsDDxwOv+b2GVqN1Ub7BBixDURFfLsGQlweAAhYhUlGYXMfXifJZHImaIvu/71hMDIrT6xFyLAuHvomwClt754XC3zsN2dFV/Nt4efE18J7DPQG7sCUJBh29pUeERwGL2CRWwMptysX4o+Ph4eOBGyU3HO6vU9X3y5E1ZizK5LP4j1HAIkRcDMMi+mIBH4gubEmCrmXwpUwYhkVlXjNunsnD0aVRVmFr9+wQnN2QYHWWX+fyIyFCo4BFbBIjYFkYCz5UfQgPHw98FfKVw/11MtfV8RXZdYmJ/McpYBEiHr3WhMvbk/nAc/NsnqAHBrMsi/ryVsRdKcSpVXFWYSvMN2fQG+MJsQcFLGKTGAHLN8uXPw6npq3G4f461W79gTua5h//tHq1mwIWIeKoK23lnzDt/TIUefG9/3sXkqZOh9QbZciJrab6UsTpKGARm1wdsKrbquF5whMePh44nX3a4f46WbRdhzq3Bgdb/RoFLEJcLzumCns6DlE+tiwaDRVasYdEiOAoYBGbXBmwWJbFvBvz4OHjgY/9PwbD2l4mGGjAajh0GFljxqJgyttgGet+KWAR4joWM4Pwkzn8Mt1VZSptMCdDFgUsYpMrA1ZQcRA8fDww/th4FDT3fQiytqWB70/b0tDn57JGI/ImTkLWmLFoPnu2x69TwCLENdo0BpzflMiHq7irRbQHigxpFLCITa4KWBqDBq/4vQIPHw8oU5T99jeQgNV84SJ38PJLL/V6yDIFLEKcryq/GYcXcQU99y8IR3FavdhDIsTpKGARm1wVsLyivODh44FpF6bBYOm/2J+9AYtlGBROm4asMWNRv39/r59DgYgQ52FZFumh5fCezdWcOrkyls7YI8MGBSxikysCVkJ1Av9riTWJNnqwZm/Aag0J4Q51fvIpWFpbe/0cCliEOIfZaEHwkUx+STDowC2YDFRzigwfFLCITc4OWAaLAdMuTIOHjwdWRK+wuz97A1bxRx9xhzpv2mTzcyhgESIsQ7sZFblNOL0mji/umRJcSmURyLBDAYvYJNTksBWIdiXvgoePB17xewUtRvuvYU/A0iUndx3qXGO7vg4FLEIGh7EwaKpuQ15CDWIuFUC1Ow1Hl1hXTj/0TQTKc5rEHiohoqCARWxyZsDKb8rH+GPccThBxUEO93e7srlzuUOdly7tsy8KWIT0r11rRHl2I1JvlOHG0Sz4rY3n61j11nyWROLagVtobdSLPXRCREMBi9jkrIDFsAw+9v8YHj4emKeeN+Clg/4ClqGwsOtQ54K+Sz5QwCKki8XMoL5ci5zYakSdy8eVHSk4/O1Nm0Fq7/wwnN2QgJAT2UgPLUdlXjN/oDIhwx0FLGKTswLWqexT8PDxgOcJT1S3VQ+4v/5CUdWyZdyhzrPnODRuQoaLyvxmnN+cyL/t11s7tiwaAXvSEXelEIXJddDU6aiOFSF9oIBFbHJGwCqsycazvs/Cw8cDvlm+g+qvr4Blqq1Ftsdj3KHOSckOjZuQoU7bZEDQwQyrILV/QTjOb05E+MkcZERUoLpQA6PeLPZQCXE7FLCITc4IWHOCZsHDxwMf+n8ICzO4V7b7Cli1W7Zwhzp/8KFDYyZkKLOYGCQGFmPv/DAuWM1SI+RENjR17fS2HyECoYBFbHJGwPLw8cD4o+OR25Q76P5sBSyLVoucp57mDnVWqx0aMyFDVXF6PY4vi+afWJ3bmIi60t7rxBFCBo8CFrHJWQFrR9IOh/qzFbAaDh7iDnWe+pcehzoTMtw11+hwdVcqH6wOf3sTObHV9MSKECehgEVsckbAevvsFLuOw+lLbwGLMRqR9/JE7lDnc+cd6p+QocSoNyP6Qj6853Ab2L3nhCDqXD7tqyLEyShgEZuEmhwtmjo+YIUXBDs8rt4CVvO588gaMxZ5L0/s9VBnQoYblmWRE1uNI93KLFzZmYKm6jaxh0bIsEABi9jk7Erug3V7wGIZBgVT/4KsMWPRcPCgw/0T4u7qSltxflNiV4mF76JQlFZPy4GEuBAFLGKTuwSsVrWaO9T5qadh0Wod7p8Qd9WuNSL0RDaUszoKgX4ZioSAYphNdMgyIa5GAYvY5C4Bq/iDD5E1Zixqt2xxuG9C3BFjYZAeWo4DC8P5p1ZBBzOgbaKjaggRCwUsYpM7BCxtVBSyxoxFtsdjMNXWOtw3Ie6mIrcJp1bF8cHq1Ko4VObRAcuEiI0CFrHJHQJWmVyOrDFjUbVsmcP9EuIuWJZFXWkrgg7c4oPVgYXhSA8tB2OhEiWuoDOaIVOoIFOooDPSG5mkJwpYxCZ3CFhZY8Yia+wjMBQWOdwvIVLXUt+OBP8i+HrFdB1vM0uNUN8c6LV0yLIrUcAi/aGARWxyl4BVNneuw30SIlXtWiNuhZXj3MZEqzMD98wLReC+W1SFXSQUsEh/KGARm9wlYOmS6VBnMrSYjBbkxddApUyF9+wQq6dVl7YlIyuqCsZ2uqmLiQIW6Q8FLGKTOwSs4n9+4HB/hEgBY2FQmtmA4COZ2Nd5CHNH81sbj5TgUrQ1O3YKAhEOBSzSHwpYxCapBix9dg4fsFoCAx3ujxCxsCyL2pIW3PTLw+FFN61C1dGlUYi5VIDGKqq8LkUUsEh/KGARm6QWsBidDrU/bEO2x2N8wKLCosQdaeraEa8qwonlMVah6uDXEQjzzUFVgYaqrkscBSzSHwpYxCapBCyWZdHi74+8Sa9Yvz3Y7SxCQtxBfmItzm1MsApVe+eFIujALRSn1cNiphILziRkKKKARfpDAYvYJIWApc/JRcknn/KBKv+116FRqShgEbfCWBjcPJvHh6rds9S4vCMF2TFVMOrp5uwqFLCIK1HAIjaJGbAsGg2qV69B1qPjuErtjz+BOqUSjF7f46gcQqTMoDPhyo4UPlxFnc9Hm4Y2q4uBAhZxJQpYxCYxAhbLMGg6cwa5zz3Ph6jyL+fDVFHBfw4FLOIumqrb+H1We78MRX4iHeckJgpYxJUoYBGbXB2w2lNTUfQ/7/PhqWDqX9AWFdXj8yhgEXdQcqsB+xdwhy/7LIlEXRkVBBUbBSziShSwiE2uCljm+npULlnKh6acJ59Cw+EjYE29H/1BAYtIGcuySL5eit2zuCXB85sToWsxij0sAgpYxLUoYBGbnB2wWJMJjT4+yHnqaT4wVSoWw1xX12d/FLCIVJlNFgQfyeT3W4Ucy6I3AyXE0VBktjDIr9Xialol1gdk8X0llDQ6YbTE3VHAIjY5M2C1xcSgcNo0PigV/e09u4+8oYBFpKit2YCzG7gSDLtnhyAtpJxqWUmMvQGLZVnUtugRnluH/eGFWOiXgqk7IvDQdwH813dvj68IQlbV8LmJEvtQwCI2OSNgNedmoHz+V3xAyn32OTT5+YG1WOzujwIWkZqa4hYc+ZarxH5gYTjKsumJhhT1FrB0RjNSyppxOr4UXpcz8M99MZiw6nqvQUqmUGHsskBMV0bi32dSrD7+5KrryKuhfXakCwUsYpOQAWvCwXFYPvNRZD/+BBeOHnkU1StXwdLcPOD+KGARKcmJrcaeuaFQytXwXRELTR3NSanqHrA+94nHpE0h+NPi3oPUg4tVeHVLKGafSMT24Dxcy6hGSUMbGIbt0dfb2yMgU6jw9JpgFNbR6RKEQwGL2CTU5GjV1OPqpK7q68UffQR9dvag+6OARaSAYVhEnc/n91updqfB2E6bnaWKZVkoQ/J7DVNPrQ7GRwdisfpqJs4klCG9XAO9qe+n6t0DVmWzDpO3hUOmUOHZtTdQ0kDnRxIKWKQPQj7B+mbeo4h8aixqzpxyeF8KBSwiNkO7GVd3pfLhKuZiAViG9ltJlcnCYMmFdKtQtSc0H1H59WjQDq7o6+3LjQ1aA97YGgaZQoUX1qtR3jSw7030VuLQQwGL2CRkwHr88Dg8tX+cQ4c9d6KARcTUXKODrxdXPHTPvFDkxleLPaQhzdHg0aI34eODsZApVFbLgc4o01Dbqserm0MhU6jw0kY1qjTtDvVH3BsFLGKTFM4i7A0FLCKWssxGHFjIFQ89oohEbcnw+cYpFkeCR1mjDm/+EMZvTr+aVun0OljVGj0mbgqBTKHCK5tDUduid6g/IcdGXIsCFrGJAhYhHJZlkXqjjC8eenZDAp0n6CKDDQvJpU14ajX3NqDn2mDcqtC4LMRUNLfjhfVqyBQqvL41DPV2LENSwBp6KGARmyhgEQygV3AAACAASURBVAJYTAzUR7P4/VY3fDJhMVHxUFcZTFhQpVXh4Y6aVW9vj+CX6lwZYkobdHhu3Q3IFCpM3haOpra+q/lTwBp6KGARmyhgkeGutVGPcxsTueKhs9RICS6l4qEuNpCwcPubgv86Eo82Q9fXuDrEFNW34Zk1wZApVJi6IwIaXe/Hf4kxNuJ8FLCITRSwyHDFsixyYqqw/6swKOVq7F8QjtIMx+cuGTh7w4LRzGDR2VT+c1dcyYDltjc7xQgx+bWt/FLl9F030aLvPWRRwBp6KGARmyhgkeGoXWtEwN50fknw7IYENNfSPBOLPWFBozPhn/ti+AKhR6OLB92XkOPqlFPdivErgyBTqPA37yhoDT0/nwLW0EMBi9hEAYsMN8Xp9Ti0iDvyxnt2CBL8i8FYaL+VmPoLCyUNbXh1C1ca4dHvAxGSUzvovoQc1+1uVWjwmNc1yBQqvL83usfXUMAaeihgEZsoYJHhwqg3I+R4Nv/UyndFLOpK6Vw5KegrLCQUN/JPhp5fd6PfA5fFDjGpZc3wWM6FrA8PxFhVixd7bER4FLCITRSwyHBQld+MY99F8eHq5pk8mPs5JoW4jq2wcCmlAg8t5d4UnLbzpt31ppw9rv4kljTh0e8DIVOo8OmhOBjMFof6E3JsRFgUsNyIUqmETCbDnXfeCU9PT8TFxfX5+du2bcPDDz+Mn/zkJ/jDH/6ABQsWQK+3/5sQBSwylFnMDKIvFPC1rXwWR6I8p0nsYZHb3B4WWJbF9uA8/mNfHEtwuxARW9iAscu4kPW5TzyMZoYC1hBEActNnD59GiNHjsThw4eRmZmJmTNn4t5770Vtbe/7DXx9fXHnnXfC19cXxcXFCAoKwn333YeFCxfafU0KWGSoaqjQ4tTqOP6pVfCRTBjooGZJ6h4WmnVGLDidwv//Ov8sMG56BmRkfj1fq2vW8US0tBspYA0xFLDchKenJ+bOncv/P8MwuP/++7F+/fpeP3/u3Ll47bXXrD729ddf48UXX7T7mkIHrCcPPgNNQ51DfQEUsMjgMQyL5KBSeM8NgVKuxsGvI1CQbHtTNBFf97DwN+8oyBQqjFrij5NxpWIPzWFhuXX8MufsE4kUsIYYClhuwGg04sc//jEuXrxo9fFPP/0U06dP7/VrfH198fOf/5xfRiwsLMTYsWOxdu1am9cxGAxoaWnhW3l5uWABa+GSLdglD0ZmdKFDfREyWC317biwJYl/anVVmUrH3biB7mFBplDBY/k13MyrF3tYgrmRVYM/L/W3+j1SwBoaKGC5gcrKSowYMQLR0dFWH1+0aBE8PT1tft2OHTvw//7f/8N//Md/YMSIEZg1a1af1/Hy8sKIESN6NCEC1uzlK6GUq6E+luZQX4QMFMuyyIqqxL6OoqF754chI6KCKrK7iZSyJj4svLBejbyaofd2Z+Ctaoxa0hWyjkUX91n1vT8UsKSBApYbGEzACg0NxW9/+1scOHAA6enpuHDhAh544AGsWrXK5nWc+QTrv7d8zL3+7hXlUF+EDISuxQh/7zT+qdX5TYnQ1NGysruwMCym7Yzgw0JpY5vYQ3Kac4llVk+xHloagP87moArqZVoNw7srVYKWNJAAcsNDGaJ8KWXXsI333xj9bHjx4/jpz/9KRjGvsKJQu7BevrAc/xNrr2170NPCRFCYUodDn0TwRUNnROCxMBit90QPVwdiy4WdOlMyrqHoje2hln9vh/5PhBfnUqGOrsGJjsK31LAkgYKWG7C09MT8+bN4/+fYRj8/ve/t7nJ/cknn8S3335r9bGTJ0/ipz/9KSwW+34aEnqT+8oFx6GUq5GfSJuKifMY9Waoj2bxgf7kyljUlQ29ZaWhrrZFzxflHA5h4fZQlF3dgo2B2Xhxg9rqz2D8yiAsuZCOmMIGmz8wUMCSBgpYbuL06dO488474ePjg6ysLHzxxRe49957UVNTAwD45JNPsHjxYv7zvby8cPfdd+PUqVMoKirC9evXMXr0aPz973+3+5pCByy513Io5WqEncxxqD9CbDHqzTizPoELV7PUiDqXD4uJjrpxR/NOJkOmUOEvOyKGRViwFYpYlkVSaRO8LmfgqdXBVmHruXU3sEaVifRyjdWeQgpY0kABy43s2rULf/zjHzFy5Eh4enoiNjaW/7VJkyZhxowZ/P+bzWasWLECo0ePxk9+8hM88MADmDNnDpqbm+2+ntABa9rWDzv2YcU41B8hvTEbLbi4lXtL8MDX4ajIpaKh7io8t44/uDmhuHFYhAV7QpHZwiAirw7fnEmFh5f1071XN4fih+u5KKjTUsCSCApYxCahA9ZTBzyh7KiaTa/HEyFZzAyuKlOhlKux76sw1BQPn29oQ43eZMHETSGQKVRYcSVj2ISFgf4+9SYLrmVUY86JJL5gaWebsj18WPyZSR0FLGKTMyq5n1zJnfmWF18j0CjJcMcwLK7tvwWlXI0980JRmUdPrtzZ1qAcyBQqeK4NRqveRAHLDlqDGeeTyjHjcJxVuQeZQoXKZnprViwUsIhNzghYISe4V+ZDTmQLNEoynLEMy29o954TgpIMx49iIuLJr9XyRTcD0qsADJ/9REL9Phu0Bhy6Wcj3FZZDLxWJhQIWsckZASsrphBKuRrHv4/u/wsJ6QPLsojwy4VSrsbuWfR2qrtjWRb/2BcNmUKFzw7H8Zu2KWA51tepIXCkkLuigEVsckbAaqypxe6OfVjaJtqHRQYv9kohX4ohO7pK7OEQB51PKodMocKYZQEoa+xa1qKA5VhfW6/TW9tioYBFbHJGwNK2NODMungo5WrkxFYLNFIy3CQHlfLhKi2kXOzhEAc164x4ctV1yBQq7A7Nt/o1CliO9bXobKpAIyQDRQGL2OSsgBV1Lp87l/BolkAjJcNJRkQFH64SA4vFHg65zWCCwuLzaZApVHjzh7AelcopYDnW18cHY/v/AuIUFLCITc4KWCW3GqCUq3HsOzqXkAxMblw1X+oj+kKB2MMhvRhoUOhe5yquqNHh/tyVswLW61vDBBohGSgKWMQmZwUso96M3bNDoJSr0dLQLtBoyVBXmFLHz5uwkzlWlauJdAwkKJgsDN76IbzPpSwKWI719cj3gfRvRSQUsIhNzgpYAHB2A3ecSVYUbU4m/SvLaoT3XC5cBR/OBEuHNkvWQILC3rAC/ny9prbeD4GngOVYXzKFCpp2k0CjJANBAYvYJNTkYHQ6ZI0Zi6wxY8HouLeDoi8WcDfLI5lCDJUMYVUFGuz9MhRKuRoBe9LBWOhsQSmzNyiUN+kwdlkgZAoVziSUOdyfu3NmwMquHj43eCmhgEVscubkKMtshFKuhs/iSHp8TWyqK2vF/gXhUMrVuLwjhQ5udgP2BAWWZfGvI/GQKVT4+95o+h4gsNsDljqbTs4QAwUsYpMzJ4fJaIH3HG7JR1NHRzmQnpqq23Domwgo5Wqc35wIk8Ei9pCIHewJWNcyqiFTqPDnpf7Ir2118QiHvtsD1rGYErGHNCxRwCI2OXtynN+cCKVcjYyICqf0T9xXS307jigioZSr4bc2Hob2obs0NNT0F7C0BjOeW3cDMoUKm69REUxnuD1gbQiko8nEQAGL2OTsydFZiTvoYIZT+ifuqa3ZgGPfcYeC+66IRbu2983PRJr6C1irr2ZCplDh5Y0h0JvoqaQz3B6w5p9KFntIwxIFLGKTsydHRU4TlHI1Di+6SXswCACgXWuE74pYvk5aWzMdp+Ru+gpYGZUajFrCHeYcSocQO83tAev9PXT2qxgoYBGbnD05zCYL9szl3g5rqm5zyjWI+zC0m+G3ljtG6YgiEi31VCPNHdkKWBaGxXRlJGQKFeb4Jok4wqHv9oD1wnq12EMalihgEZtcMTku/pAEpVyNW2F0ntxwZjJa+D15B/8dQYHbjdkKWMdjSiBTqOCx/BpqWvQijnDouz1gjVriDwvVjnM5CljEJldMjnhVEZRyNQL33XLaNYi0WUwMruxIgVKuxv4F4agrpbfK3FlvAau2VQ8Pr2uQKVTwiSoWd4DDQPe/g84l2SoNPRF2NQpYxCZXTI7K/GYo5Woc+iaC9mENQ4yFQeDedCjlauz9MhRVBRqxh0Qc1FvAmn8qGTKFCtN23qQnKS7Q/e/g+fXcG5uJJT3PeSTORQGL2OSKyWExM3yV7oYKrdOuQ6SHZVjcOJIJpVwN77khKMuiG8BQcHvAisirg0yhwoOLVUgvpwDtCt3/Dv7mHQWZQoUrqZViD2vYoYBFbHLV5Li8PRlKuRppIbaPyyBDC8uyCD+dC6Vcjd2zQ1CYUif2kIhAut/cm9oMmLQpBDKFCl6XqRyLq3T/O5jjmwSZQoW9YQViD2vYoYBFbHLV5EgMLObPmSPDQ+xlrgaaUq5GTmy12MMhAup+c98YmA2ZQgXPtcFo1dOBw67S/e9gtYqrO7b8Eu1zdTUKWMQmV02O6kINlHI1DnwdDpb2Zwx5SUElfLhKD6W3R4ea7jf3Py/lNlj7p1eJPaxh61jH25uf+ySIPZRhhwIWsclVk8NiYbBvfhiUcjXqyugNsqHsVngFH64SA4vFHg5xgttLBMw4HEcvsIhInV0DmUKFt7dHiD2UYYcCFrHJlZPjys5UKOVqpASXOv1aRBy58dVQzuLCVfQF2g8yVHUPWA9/F4CyRjrMXUzZ1S2QKVQYvzJI7KEMOxSwiE2unBydy0aq3WlOvxZxvaLUOuyeHQKlXI2wkzn0RGMIq2zW8QFrW3Cu2MMZ9jTtpj7PhiTOQwGL2OTKyVFb0sIXmmRoH9aQUpbdyB+JFHw4k/bZDXFf+6XwN/RmHR3ULTaWZTFuOVfkNb+WSuG4EgUsYpMrJwfDsNi/IBxKuRq1JcNnMg511YUa7O3YX+fvnQbGwog9JOJEsYUNVvuv6ImJNLz5QxhkChXCc6kciitRwCI2uXpyqHanQSlXIymoxCXXI85VX67FgYVcaL60LRkWE4WrocxgtuDVLaEUsCRoxuE4yBQqnIqjPa6uRAGL2OTqyZF6owxKuRpXdqa65HrEeZprdDi06CaUcjXObUyEyWARe0jEybYF50KmUOGp1dcpYEnMkgvpkClU2Hqd9sT1q7VGsK4oYBGbXD056stboZSrsW9+GCy0lOS2Whv18FkcCaVcjdNr4mDQUYHJoS6/VouHlgZAplDhXFI5BSyJUYbkQ6ZQ4d9n6IfXPpUnAGt+B0RuBwR4EYcCFrHJ1ZODZVgc/DoCSrka1YV0Zpk70rUYcfz7aCjlapxYHgNdC21yHupYlsXf90ZDplDhs8NxaDPQW2tSc74j9H6wP0bsoUhXcymwaTTgdQ/g+3eAcfypOwUsYpMYkyNgbzqUcjUSAopddk0iDH2bCadWxUEpV8NnSSRaG/ViD4m4gF9CGWQKFcYuC0RZo67HYc9EfDEdLx9M2hQi9lCkSd8C7H6eC1feLwAGYQpeU8AiNokxOdJCyvlN0cR9GPVmnN2QAKVcjcOLbqK5lopLDgcNWgOeWBkEmUKFfeFc8VgKWNJT1sjVJnvouwCqQXc7ixk48T9cuNr8EKAR7vguCljEJjEmR0OlFkq5GnvnhdJbZ27CbLLg4g/J3HmSC8PRUEG1doaLBadT+GNYzB37JilgSY/RzOBPi7m/k3qtQezhSEvAt1y4Wv1boCJR0K4pYBGbxJgcLMvi0DfcPqzKvGaXXZcMjsXC8OU19s0PQ03R8PlGMpQMJhRF5NVBplDhwcUqpJZ1/VulgCVNnmuDIVOokFZO31d5cfu5cOV1D5BxUfDuKWARm8SaHNf234JSrka8qsil1yUDwzIsrh/KgFKuxp65oajIaRJ7SGSQBhqK9CYLJm4KgUyhgtflDIf6Iq7x38pIyBQqBN6qEnso0pAfDKz4BReuIrY45RIUsIhNYk2OW+EVUMrVuLg1yaXXJfazmBmE+uZAKVfDe3YIitPqxR4SccBAQ9HGwGzIFCo8u/YGtAbrz6eAJU1zTiRBplDh4E36wRW1WcC6P3Dh6sIsQUoy9IYCFrFJrMnRVN3GPxUxm6hApVTotSbkxFbj2v5b2P8Vd/yNcpYaeQnCFeYj4hhIKMqpbsXoJf6QKVS4llHtUF/EddaoMiFTqLDqaqbYQxGXtg7Y5sGFq0NTALPz9qRRwCI2iTU5WJbF4W+5KuDltOwkGpZl0VTdhqSgEpzfnIjds9RcqOpoh76JQE4MLTcMBfaGIoZh8TfvKMgUKsw8muBQX8S1DkcWQaZQYfYJYTdyuxWTHjjwBheutj8BtDU49XIUsIhNYk6OoIPc3p7Yy4Uuv/ZwZrEwKM9pws0zeTi+LNoqUCnlapxaFYuYiwWoLtSAZeh176HC3lB0PKYEMoUK45ZfQ5Wm3aG+iGtdy6iGTKHCdGWk2EMRB8sCZ//Fhav1DwD1eU6/JAUsYpOYkyPzZiWUcjXObx7GP225iL7NhNy4agQduMUfztzZvOeE4PKOFKSFlKOlvvcbKnF/9oSi2hY9PLyuQaZQ4Uik7X08FLCkKb1cA5lChafXBIs9FHGErufC1cpfAoVhLrkkBSxik5iTQ1PXzt/gTcbhuw/LoDOhuUYHbZMe+jYTzCaLIIUCm2t0SL5eigtbkrB7dohVqDr47wjcOJKJgqRaGPV0gxwO7AlFnZukpysjYenj6SUFLGlq0Br4vxeDeZh9T00/21WOIdHHZZelgEVsEnNysCwLnyXcgcFlmY0uv74UtGkMXZvJu7dZauydH4ZD30Tg6JIo+HrFwG9tPM5vTsTlHSnw905D0MEMhBzLQsTpXERfKEC8qgjJQaWIPJuHE8tjevR5cmUsoi8UoKpAA4aW/oad/kKROrsGMoUKo5b4I6Oy73NCKWBJE8uyePg77kDukoY2sYfjOqWxwKpfc+Eq6DuXXpoCFrFJ7Mlx40gmlHI1oi8WiHJ9saXeKINSrsbu2SHwnhPSM2g50Lxnh+DStmSkqsugqaOlv+Gur1CkM5rxwno1ZAoV1vpnOdQXEderm0MhU6gQXeDczd2S0VQCbBzFhauTHwhygPNAiH0PFQMFLDuJPTmyo6uglKtxdkPvbysNdec2JkIpVyNVXQaA24BubDejTWOApq4dDRVa1BS1oCKnCSW3GlCQVIucmCrcCq9ASnApEvyLEXOxADf98hByIhvXD2dAfSwLeQk1MLTTjY906SsUdb7e/8J6tV2BiQKWdH10IBYyhQrnEoU7b0+y9BpA+SwXrva8BBhd/9RO7HuoGChg2UnsydHaqOef4Ay3vUDaJj3/tEnbRGeHEeeyFYpuVWgwqqPmVUhOrYgjJEL45kwqZAoVdt5w/ht0orKYgWPvcuFqyxhAUyHKMMS+h4qBApadpDA5jn0XBaVcjZJbw+SRdofO5cHzm+gtSuJ8vQUsC8Pir7tuQqZQYa4vnaowFPxwPRcyhQqLz6eJPRTnUv2bC1drfgdUJos2DCncQ12NApadpDA51MeyoJSrEXUuX7QxiOH25UFCnKm3gHXoJleY8jGva6ht1Ys8QiIEv/gyyBQqfHIoTuyhOE/s3o43Bn8OZF0RdShSuIe6GgUsO0lhcuTEVkMpV+PMunjRxuBqtDxIXO32gFXZ3I5Hvw+ETKGCb2yp2MMjArmZVw+ZQoU3trqmDpTL5QYBK+7lAtbNbWKPRhL3UFdzWcAqKirC0aNHsWrVKixevBhbt25FSEgI9Hr3+GlQCpOjrdnA7cOapYZBZxJtHK7ELw9SkVXiIt0DVpvBhM99EiBTqPCedxSV7RhCCuu0kClUePT7QEHq6UlKTQaw9vdcuLo0x2kHOA+EFO6hrub0gHXixAk888wzuOOOO/C73/0OTz75JF588UU88sgjGDlyJO655x7Mnj0bJSUlzh6KQ6QyOTrrNhWl1ok6Dleh5UHiat0D1uWUCsgUKvx5qT9ya1rFHhoRULvRwv89a4bSD6zaWuCHcVy4OvIXwGwUe0QApHMPdSWnBqzx48fD09MTu3fvRllZzxukwWBAaGgo5HI5/uu//gtnzpxx5nAcIpXJEXoiG0q5Gjf9hvibL6DlQSKO7gHLc20wZAoVNl/LEXtYxAkmrLoOmUKFzMohctM3tQP7X+PC1c4nAZ10ClNL5R7qSk4NWNeuXbP7cxsaGpCYKN1lIKlMjryEGu6g4dVDeGNmB1oeJGLoHrBkChUmbQqB3jTMjlMZJv6yMwIyhQrBmTViD8VxDAOc+azjAOc/Ag3SKkotlXuoK9EmdztJZXLoWoz8Ux29dgg91u4FLQ8SMdwesCLz68UeEnGSmUe5/XXHoovFHorj1Gs6DnD+FVAUIfZoepDKPdSVXBqwLBYLzp07h9WrV2P16tU4f/48LBb3+MlQSpPDd0UslHI1CpKHbrHDzsKqtDxIXK1ZZ+TD1fxT4tUNIs7ndTkDMoUK6wOyxR6KY1JPdx3gnHxc7NH0Skr3UFdxWcDKz8/Hww8/jLvuugsTJkzAhAkTcNddd2HMmDEoKJDWo8zeSGlyhJ/MgVKuRvipXLGH4jS0PEjEsuJKBh+wKpp0Yg+HONG+8ALIFCp8edKNg3RJNLDqv7hwdX252KOxSUr3UFdxWcB6++23MWXKFDQ2dm26a2howJQpUzB16lRXDWPQpDQ5CpJroZSrcXJlrNhDcRpaHiQDIdSZf+rsGqvlQTo/cGi7mlbJl+CwC8MAOQGA/zdAnQR+wG0sAjY+yIWr0x9x45MoKd1DXcVlAeuuu+5Cenp6j4+npqbiP//zP101jEGT0uTQa01QzuKWz3Qt0ngFV0j88uAsWh4k9hEiYFVp2jF+ZRAFrGEkqbQJMoUKz6+70fcnGtuA+APAjgldS3Eb/gRUprhmoL1pbwZ2PcONZe9EwCjtp61Suoe6issC1i9+8QtERfX8KSEyMhK/+MUvXDWMQZPa5Di1Og5KuRp5CUPg7Zfb0PIgGShHA5bZwuD9PdGQKVSYuiOCAtYwUdOih0yhwqgl/jBbenn601IF3FgJbJB1Bat1DwA7n+r47z8ApSKsJFhMwNH/5saw9RFunBIntXuoK7gsYH3yyScYN24cYmNjwbIsWJZFTEwMPDw8MGPGDFcNY9CkNjlu+uVBKVcj1Hfo1ec5tzGBlgfJgDgasDZfy4FMocK45deQXd1CAWuYYBgWf17qD5lChcrm9q5fqEoDLsi5N/I6g9X2x7mz/QxaQN8CHJrScYjyfUChC4/bYVng6oKua1e5x2HVUruHuoLLAlZzczOmT5+OO+64AyNHjsTIkSPxox/9CO+88w40Go2rhjFoUpscRal1UMrVOLE8RuyhCIqWB8lgOBKwIvLq8KfF3NdeTasUbD8XcQ8vblBDplAhoageyL0G+EzrClVe9wCHJnMHJTO3vfFu1AHH3uE+Z9Wvua91hejdXQc4Z/u75poCkNo91BVcXgcrPz8fV65cwZUrV5Cfn+/qyw+a1CaHQWfC7o59WG3NQyeI0PIgGYzBhqLaVj2eWs1V815yId2hvoh7+mhPCJYsXYjWzU90haoVvwDO/i9Q3s/3IbMBOPlBV/2pzEvOHWxOIBesvO4BonY691oCk9o91BVcErBMJhNGjRqFrKwsV1zOKaQ4OfzWxkMpVyM3rlrsoQimc3kwLYSWB4n9BhOKLAyLD/bHQKZQYfK2cL5aOwWsYaK1BlCvhnbVA932V/0BCPoOaB7A9x+LiQtjXvcAK+4FUk85Z7zV6dySoNc9wOUvJXGA80BI8R7qbC57gnX//fdTwBJY5Ll8KOVqhBxz3z/X7rovDw6lp3LE+QYTinbeyINMocLYZYHIr9U61BdxI9W3gIuzu2pHed2Dsu9Hw3//94BhkAd6Mxbg0pyupbuEQ8KOubUa2Poo17/PX7lQ52akeA91NpcFrLVr12LGjBkwm4X5hqVUKiGTyXDnnXfC09MTcXF9n83X3NyMOXPm4He/+x1GjhyJhx56CP7+9q9fS3FyFKfXQylX49iyaLGHIoiU4FJaHiSDMtBQFFvYgAc79l2dSyx3qC/iBlgWyAsGjk633l918E2EXzqAUYrL+Nwn3rFrMAxXH6uz72ilMGM36oB9r3Qc4PwU0N4kTL8uJsV7qLO5LGC98847uPvuu3HffffhrbfewrvvvmvVBuL06dMYOXIkDh8+jMzMTMycORP33nsvamt7PzrGaDTi6aefxtSpUxEZGYni4mKEhYUhNTXV7mtKcXIY9Wbsnh0CpVyN1ka92MNxGC0PksEaSChq0BrguTYYMoUKX/v1/B5AAWsI0dYCkduBnU922191L3BmBlDGBaqQ7FrIFCpM2S7A+X0sy1VT77xW2EbHlvIYBvD7pKvuVmOh42MUiRTvoc7msoD12Wef9dkGwtPTE3PnzuX/n2EY3H///Vi/fn2vn79nzx6MGjUKJtPgH6tKdXKc3cCFkuwY6ddB6QstDxJH2BuKGIbFjMNxkClUeG1LKNoMPT+XApabYyxAbhBX2XzlL7vCztrfA4FLgKYSq0/PqW6FTKHC4yuChLk+ywJhm7que3354EPWjZVdG+hL7Kw2L1FSvYc6k8vfInSU0WjEj3/8Y1y8eNHq459++immT5/e69e8/fbb+OijjzBz5kz85je/wbhx47B27do+D5o2GAxoaWnhW3l5uSQnR/SFAijlatzwyRR7KA6h5UHiCHtDUefZcw9/F4Ds6t7/LVPAclNNJYB6DVd4s/sy4IHXgaSjNvdXtepN/N93b4F70KKVXWPw/2bgx9ik+HZ9fcpJ4cYlEgpYTlRUVIS8vLweH8/Ly0NxcbHd/VRWVmLEiBGIjrbed7Ro0SJ4enr2+jVjxozBnXfeiX/9619ITEzE6dOn8ctf/hIrVqyweR0vLy+MGDGiR5Pa5Ojch+Xu5xLS8iBxhD2hKKm0CaOXcEUlT8aVOtQXkQizAci40FGP6ufdjrGRAYGLgRr7fvD0PVTmvgAAIABJREFU8LoGmUKF/NpBbnK3JeFw17guzulZS8uW4siuIqc3Vgo7JpFQwHKiiRMnwsfHp8fHjx8/jkmTJtndz2AC1kMPPYQHHnjA6onV1q1b8bvf/c7mddzlCVZzjQ5KuRp754eBdbPXdjvR8iBxVH+hSKMz4YX1XEHJeSeT+/y3QgHLDdRmA9eWdh103NmOTgduneOC1wBM3hYOmUKFsNw64ceaeprb9+V1D3Dms/7fAGwo6Dqax+8TSR/gPBAUsJzo7rvv7rWwaH5+Pn7+85/b3c9glggnTpyI119/3epjAQEBGDFiBIxG+w5LlurksJgYLpzI1Whvdc+Dn2l5kDiqr1DEsixmHk2ATKHCxE0haNX3fYOjgCVRBi2QfBw48IZ1qNoyBlCvBhqLBt31Zx378vp6sumQzEtdT6R8/wGYbLyU1N7Udc7hvlckf4DzQEj1HupMLgtY99xzD5KTk3t8PDExET/72c8G1JenpyfmzZvH/z/DMPj9739vc5P7kiVLIJPJwHT7SWD79u2477777L6mlCfHkW9vQilXo6ZIemOzBy0PEkf1FYqORBZBplDhoaUBuFXR/7FcFLAkhGWBikTgynxuk3r3SuunPuSOp7E4/ne09EI6ZAoVtgQ58WzX3CBg9W86nrT9N2Bss/51i6nrmJ6tj3KFUIcQKd9DncVlAWvatGl4//33rZbpLBYL3nvvPUyZMmVAfZ0+fRp33nknfHx8kJWVhS+++AL33nsvamq4CfnJJ59g8eLF/OeXlZXh7rvvxrx585CbmwuVSoXf/OY3WLNmjd3XlPLkOL8pEUq5GnkJ7vcPkpYHiRBshaL0cg0eWhoAmUKFI5H2PeGggCUB7c3cwcreL1g/rdoxHrj5g+DhQxmSD5lChYV+KYL220NReFc19kOTuUOjAS5IXv6y423H+7liqEOMlO+hzuKygJWZmYlf/epXGD16NF+aYfTo0fj1r3+NW7cGPpl27dqFP/7xjxg5ciQ8PT0RG9u1yXvSpEmYMWOG1edHR0fj2WefxZ133olRo0b1+xbh7aQ8Oa4fyoBSrkbStZL+P1liaHmQCKG3UNSqN2HiphDIFCrMPJpg9x5FClgiqkwGLs0FVv+2K1St/g1wfiZQfNNpx8NcTK6ATKHCP/fFOKV/K2VxwLqO43n2TQJ0jdy5gp01ulx1aLSLSfke6iwuLdNQWVmJJUuWYOrUqXjvvfewcuVKNDY2unIIgyblyRF7uRBKuRqhvk58vO0ktDxIhHB7KGJZFnN9kyBTqPDCejU0Ovtr4FHAcjGjjttb1VmtvLPtfg6I3eeSyuVxRY38Hj2XqErt2qC//fGuNw1jvF1zfRFI+R7qLG5XB0ssUp4cmZGVUMrVuLLDyY+3BUbLg0Qot4eik3GlkClUGL3EH0mlA7tBU8Bykfp8rvDn+j92hapV/wWc+xwoiXbpYcZljTp+nx7DuOi6tdnA5oe7fu9XF7rdAc4DIeV7qLM4NWClpaXxG8vT0tL6bFIn5clRnt0IpVyNE8td8HhbQLQ8SITSPRSllDXh4e+4fVd7wwoc6osClsAsJu6NOp+/Wj+t2vYYt7eqrV6UYZksDP7UcTZlbasLjx1rKAD2vwac/8ItD3AeCCnfQ53FqQHrjjvu4M8HvOOOO/CjH/0Id9xxR4/2ox/9yJnDEISUJ0dLfTuUcjX2zA0F66qfvgTQecwPLQ8SR3UPRa9uDoVMocKMw3GuexpB+qapAELWWj+x8fo54Pt3IO+6JGo9Pbv2RkdAbxZ7KEOSlO+hzuLUgFVSUsJvLC0pKemzSZ2UJ4fFwmD3LK4WVpvGPZbaaHmQCKl7wJIpVPBcG4zGNvesCzdkMAxQoObKKaz4RVew2jSaq07e7KSaU4P07u5IyBQqBKS797muUiXle6iz0B4sO0l9chxdEgWlXI2qgv7r/EgBLQ8SIXUPWA8uViG2sEHsIQ1fnW/F7RhvvQx4eGpHlXVpBt/OlyIORBSKPZQhSer3UGdw+VuEfn5+2LVrF3bs2GHVpE7qk+PCliQo5WrkxlWLPRS7dC0Plos9FCICofc5pZY38/1tdWaxSNI7bR2QdQW4MAtY9euuULXuD4D/Im5Dt8St88+CTKHCyiv2nV9IBkbq91BncFnAOnLkCEaOHImf/exnkMlk+NOf/sS3Bx980FXDGDSpT44bPplQytVI8C8Weyj9sloedJMlTSIsIQPWrQoNxq8M4vvr7ygc4iCWBerzgKSj3AHGOyZYP6nyugfY8xKQeKRntXIJ66z4Lz9GT9WdQer3UGdwWcD6wx/+gDVr1lgdV+NOpD454q4WQSlXI+RYlthD6RctDxKhAlZMYQPGLb9mtf+K3vwTmNkAlMYCkduBkx/0PGC5c8P67ue4UgPlCW5ZbiAooxoyhQp/3XVT7KEMSVK/hzqDywLWL3/5SxQUDPyVaamQ+uTIjqmCUq7GpW09z3uUGloeJEIErOuZNXiooxzD+3uiKGAJRdcI5AQCwV7ccS7dl/y6V1c//Da3WT03yCXFQJ3tVoUGMoUKT62+LvZQhiSp30OdwWUBa9GiRTYPY3YHUp8clXlNUMrVOLYsWuyh9ImWBwngeMA6l1iOUUv8IVOo8LlPApraDBSwBoNlgcYiIOUkd6Cy0rOXp1P3ABtHcW8DRu0EyuIlu1HdEU1tRn4O6U32H6NG7CP1e6gzuCxgWSwWTJkyBZMmTcK8efOwcOFCqyZ1Up8cncHFe06IpGv/dC4PXtiSJPZQiIgcCViHbhbxX/u1XyrMFoaKgw6U2cjtodr5ZO+BaudTwKU53BE29fluueQ3UCzLYuyyQMgUKhTXu8/eMXch9XuoM7gsYK1evRp33HEHxo4di0mTJuGVV17h26uvvuqqYQya1CcHw7DwnhMCpVyN1kYXViIeIFoeJMDgAhbLstgalMN/3cormfwPExSw7GRq58732/poV5ha+SvgwBtA0HdAtkq0aupS8OoWrkhtVP7w/TNwFqnfQ53BZQHr3nvvxZEjR1x1OcG5w+Q4tiwaSrkalXnS3A9By4Ok00ADEcOw+P7SLf5rdqnz+CLGg+lv2DG0cpvUN/25K1htfohb8jO0ij06yfj4YCxkChXOJNDpEkJzh3uo0FwWsH77298iLy/PVZcTnDtMjkvbkqGUq5EdLc1KxLQ8SDoNJBCZLAzmn0qGTKHCnxarcCym58kPFLBsaG8CQjdYH6j8wzggbj9gku6TbrF8ezYNMoUK24Pd914lVe5wDxWaywLWunXr8OWXX7rqcoJzh8kRciwLSrkacVeLxB5Kr2h5kHSyNxC1Gy347HAcZAoVRi/xx6WUCof6Gza0ddxbgGt/3xWsdkzg9lQN8UOFHbE9OA8yhQqKc2liD2XIcYd7qNBcFrDeeecd3HPPPXjwwQcxbdo0vPvuu1ZN6txhciT4F0MpV+PGEelVIqblQdKdPYFI027C/3SUXxizLAAh2bUO9TcsaCqAAAWw+rddwWr380D6WYChN+P6cyahDDKFCh8fjBV7KEOOO9xDheaygPXZZ5/12aTOHSZHbly1ZJfgaHmQdNdfIKprNWDK9gjIFCp4eF1DfHGjQ/0NeY1FXJmFlb/qClb7XgGy/blDl4ldIvPrIVOo8NqWULGHMuS4wz1UaHTYs53cYXJUFWiglKvhsyRS7KH0QMuDpLu+AlFZow6TNoV0FH0MRmZl///mhm3AqssBzn8BrPhFt0OV3wYK1MOitILQiurbIFOoMHZZoNVLFMRx7nAPFRoFLDu5w+Ro0xiglKuxe5YaFot0fmql5UFyO1uBKK+mFZ5rgyFTqPDiBrXd9YiGXcCqSgX8PuGOqOkMVsf/BpRIu9Cw1OlNFn4eNbUNvWKqYnKHe6jQnBqwJk+ejJiYmH4/r7W1FRs2bIBSqXTmcBziDpODZVjsmRsKpVwNTV272MPh0fIguV1vgSilrBlPdBza/OYPYajW2P+W27AJWLVZwIn3rYuCnvoQqKB/W0J5avV1yBQqZFRqxB7KkOIO91ChOTVgHTx4EPfffz8eeeQR/H/2zjs+ijr//5sECBgIHQ74wgCKCgeW8w4QPDkLB54e4PlT71QMyMkqVVAYVKQkSOdoQ6+hEzoMCRAmgTRSSCOF9IQUEtJ73d3X749JZjOpm+2z+Twfj3lodmc+854w2Xnup7zfy5cvh4uLC3x8fPDw4UO4u7tj586d+PTTT2FnZ4fPPvsMT548MWQ4OiGVm+PUqgdg5BzSHrc8Z8WY1A0PPvIkw4MEnoZC5B2Xg5G/8Vm0pzM+KChrW++BxQtWeQE/eb1uKHBND+DiHCDL/Ba0SJ1/7vYGRbO4E5Vl6lAsCqk8Q/WJwYcIKysrcfLkSXz00Ufo0aMHrKysYGVlBWtra4wePRo//vgjoqOjDR2Gzkjl5ri+KxSMnEOUT4apQwEAFOWWk+FBQiPqC9GVkDSM+MVVWL1VWtl2QbJYwVIqgeATfC3Auh6rc18CuQmmjsximXsiCBTN4rhvsqlDsSik8gzVJ0afg1VYWIjMzExUV0srF4tUbg7P0zFg5Bz8ryWaOhQAQMgdMjxIaEx9IRq2gv/v96ceorJGu1QCFilYaQ+Bg++oxWr3n/nJ6wSDsuZ6JCiaxfqb5v/FX0pI5RmqT8gkdw2Rys0RfCsFjJzDnSORpg4FABkeJDRNfSGqS+yo0KFIuUUJVkk2cHW+Wqx+H8SXtKkhk66NwSGvRFA0i/mnyZdCfSKVZ6g+IYKlIVK5OeKCssDIOVza/NDUoZDhQUKTKJUqrL4WKQiR040onZfEW4RgKWqAB/uA9YPVcnVZDhRnmjqydsXNR09B0Sz+tdfX1KFYFFJ5huoTIlgaIpWbIyu5CIycw7Hl3qYOhaweJDSiWqHED+dCRb1X+hAiyQtWkhewZ7xarPa9BTwh2cRNQWhqASiaxfj1d00dikUhlWeoPiGCpSFSuTnKi6v4XiM5B0W1aXNh3T4cCUbO4aFbsknjIJgHZVU1+PqIuq4gESwAhWmAi4NarDZSQNARUtbGhDwrqhDmBlabUT5BqSOVZ6g+IYKlIVK5OVQqFfYvugdGzqEgq8yksZxbFwBGziEpLNukcRBMT15pFaYxPkKWbLeIp+1bsGoqgftbgHV/UKddYJcCZeaTXqW9olSq8MIv/BeAtHzTfoZaElJ5huoTIlgaIqWb48xafzByDk+ick0Wg0qpwv4FnmYhegTTkpZfhne2eoKiWby69jaCn+TrXYgkJVixt4Adr6p7rQ7/HXgabuqoCPX46ya+VFNAEhFefSGlZ6i+MLlghYWFwdra2tRhtIqUbg6WCQMj5xBxP91kMRTl8BPc9873gJJ0s7dbYjKLMe73u6BoFm+uv4v4Z8UA9C9EkhCs3ARxFvYtLwLh50nNQDPk8wN+oGgWV0NN9xlqaUjpGaovzEKwrKysTB1Gq0jp5rh/NhaMnIPf5XiTxZD8KAeMnMNZRzJR11Joq8QEJudhzOpboGgW72+7h6eF6vJN7UqwKksA9zWAYx9erNb2Bm6vBCqLTR0ZoRmWnOcXYuzxNN1nqKUhpWeovjC4YH388cctbu+++y7pwdIzdav3bh2KMFkMIbdrYzhouhgI+qUtEuMelYUXf3UVlrs3LH3TLgSrsgTw3i7Own5iBpATZ+rICK2w5VYMKJrFr1cemToUi0FKz1B9YXDB6tChAz744APMmjWryW3atGlEsPRMQsgzMHIOLhuCTBYD5xwNRs4h4EaSyWIg6BdNJeZ8YCqG164S/OZYIMqrGq+IM0sh0heVxYDXVmDjULVY7XgFiL5BhgMlwmn/J6BoFrOPBZo6FItBSs9QfWFwwRozZgwOHz7c7PuhoaFEsPRM9pNiMHIOR37yMlkMdRnc44JIwVRLoTUpUqlUYDzihX1+cglDTTPz7yxSsCoKgXub+VQLdWK18zUg9DSgkFZpsPaOZ8wzUDSLKdvvmzoUi0FKz1B9YXDBmjVrFubNm9fs+9HR0Rg6dKihw9AZKd0cFaXVQi6s6krj59NRqVQ4+MN9MHIOueklRj8/wTC0JEUNs7NvdHvcYnZ2ixKs8gLAcwOwoV4G9l1/AsLO8dnZCZIjLqsYFM1izOpbpg7FYpDSM1RfGFywKisrUVYm/WX6Urs56gQnL6PU6OcuLagEI+ew5zvTJzsl6I/mpKiqRokFZ0KE9w57tz4sbBGCVZYHePwuLm2z+89AuAtJFCpxSirV92dxBel91AdSe4bqA5OvIpQKUrs5zjrxST6TH+UY/dypj/PAyDmc/M3P6OcmGI6mpKiksgZfHvIHRbN44ZebGi9rl7RgleUBdx35Isx1YsWMAyIuErGyIOpWwMZmkdWe+kBqz1B9YHDB+u2330Q9WPn5+YY+pUGQ2s1xc284GDmHR55pRj93uEcaGDmHm3tJ8kRLoqEU5ZRU4p+7vUHRLEb+5ob7sZpn7JekYJXmAu6rgd8HqsVqz5tA5BVASXpqLY0p2++Doll4xDwzdSgWgdSeofrA4IJlbW2NZ8/UN2i3bt2QmJho6NPqHandHN7n48DIOfhcMP6S8HunY2rzcCUY/dwEw1FfimKzivC3LXx29tcd7yAstUDrtsxesEqy+bxV6wbUK8Y8EYi+TsTKgvnmWCAomsUp/xRTh2IRSO0Zqg8MLlhWVlYiweratSsRLCMQxqWCkXNw22/8PC5XtgWDkXN4/OCp0c9NMBz1pegNpzugaBYTNnBIzG77QgZJCFZxFnDrF8Cpv1qs9v8VeMySdAvtgJVXIkDRLLbcijF1KBaB1J6h+oAIloZI7eZICssGI+dw/nfj53E58pMXGDmHZynS+F0RNKO+FNUtYc8qqtC5LbMTrPL8WrHqpxarA5OAGDciVu2IvZ4JoGgWS86FmjoUi0Bqz1B9YJQhwoSEBBQVFaGwsBDdunVDeHg4ioqKRJu5I7WbIze9BIycw6Glxs3jUj9FRFWFmT04CTrxIDFHkKJ/7fVFYbn2q6vMUrCUCiDoqDhB6MF3gbg7RKzaIVdD00HRLD7bTxbr6AOpPUP1gVF6sKytrYWtuZ/NHandHFUVNWrRKTfeA+xpfAEYOYfjP/sY7ZwEw1NaWYO/bvIQpCivtFKn9sxOsJ484If/hFWBY4E4dyJW7ZjA5DxQNIu3NnGmDsUikNozVB8YXLDu3bun0WbuSPHmOLyUH6rLSTNess9Ir3Qwcg7Xd5JudUtixaVHouFBXaXIbASr6Clw6Vu1WK0fDDzYSzKvE5BeUC6kH1EqiWjrihSfobpC8mBpiBRvDpf1gWDkHBJDNV8+ryveLvzqRe/zpKCtpeAelQWKZjF0hf4Ey+TUVALe/6u3MrA7cG0Bv2KQQABQo1BiWO09/0zLuYYENVJ8huoKESwNkeLN4XbgERg5h7C7qUY75/WdoWDkHCK9NEs4STBvsosr8SdHfsXgmuuRliFYsbeBna+re60OvQekPzR1VAQz5M31d0HRLEKeSDN/ozkhxWeorhDB0hAp3hy+F+PByDl4nY812jmP/+wDRs4hI75teZEI5odKpcLs2lxAU7bfR0FZlbQFKzcBOPWpWqy2jABCz5BcVoRm+ddeX1A0CzacpJzRFSk+Q3WFCJaGSPHmeOTJZ1Rn9xgno3r9ifUVJWQOi9Q5+SAFFM1ixK+uiMksNp95U22lsgS4swpY25sXq7W9+cShFdL5WyaYhroamwfvSy+1kLkhxWeorhDB0hAp3hwpEblg5BzOOgYY5XzPUorAyDkc+cnLKOcjGI6E7BK8tNJVVLxZcoKlUgHh54GtL6l7rU58DOSQ+YEEzVjvGg2KZrH6WqSpQ5E8UnyG6orRBGv27NkoLm5cNLO0tBSzZ882VhhaI8WbI+9pKRg5hwOL70FlhOXmMQ+egpFzuLw12ODnIhiOaoVSqDH45SF/YQWVpAQrIxQ4/He1WO14BYhxJWkXCG3C2S8ZFM1i7okgU4cieaT4DNUVowlWw5qEdeTk5MDGxsZYYWiNFG+OmiqFesiu1PBDdn6XE8DIOdw7TUpLSJmtt2NA0SxeWXMbmYXq1VOSEKzSXOD6In5V4Gp7YN0fAK+tQDVZBUZoO3UraD/a5W3qUCSPFJ+humJwwarL4G5lZSVkdK/b8vPz4ezsjAEDBhg6DJ2R6s1xZJm30crW3NwbDkbOIdzDeKsWCfrlYUqesDS94cResxYsRQ3gfwDYMFjda3VxDlBIVrMStCcyoxAUzeJPjndMHYrkkeozVBeMnsm94WZjY4N169YZOgydkerNcWFjEBg5h4Tgxr2H+ubUqgdg5BxSH+cZ/FwE/VNSWYO3NnF8/bXzjRPFmq1gFTwRDwfunQik+Jo6KoIFUH/lbEW1wtThSBqpPkN1wSiZ3D09PWFlZYXLly+Lsrf7+fkhIyPD0CHoBaneHLcPRYCRcwi5/cSg51FUK7HnO344srRAtzIqBNPwk0sYKJrFxI0ciisaDymbpWBFXOSzr6+2B9b/HxB4iK8pSCDoAZVKhZG/uYGiWSRmG68ihiUi1WeoLhhtDlZKSopRJlobCqneHH5X+HlR988Ydl5UXXHpgz/cl/S/c3vF9dFTUDSLYStYBCRJoAeysgS4Mk+cLDQ/2dRRESyQ97bdA0Wz8InPMXUokkaqz1BdMGqaBi8vL3z55Zd48803kZ7Oz404ceIEvL3NfwKhVG+OutqAN3aHGfQ8cUFZYOQcLmwkq22kRlZRBV5dexsUzWKT22NTh9M6GaH1MrF3BzgnUjuQYDBmHgkARbM4H0TmluqCVJ+humA0wbp48SK6dOmC//73v7C1tUViIp+4bffu3fjggw+MFYbWSPXmSI3KAyPncHqNv0HPE3AjCYycw13naIOeh6BflEoVvjrsD4pm8eEuL1TVmHFWc6US8N2lThi6bSSQbP5fzgjShr4YDopmsd3deBUxLBGpPkN1wWiC9dprr8HZ2RkA0LVrV0GwQkJC0L9/f2OFoTVSvTkKssrAyDnsX+hp0KG7W0aa60XQL8d8kkDRLF5a6Yr4Z2Y8x6Q4CzgxQz0keO5LoEwCQ5kEybPzbhwomsWyC4YdBbB0pPoM1QWjCVaXLl2QnJwMQCxYiYmJsLW1NVYYWiPVm0NRrQRTO/m8rKjKYOc56+gPRs4h+RGZpyAVYrOK8eKvfLZ2Z79kU4fTPLG3gE3DebFy6g8EHSUJQwlG48LDNCHpLkF7pPoM1QWjCdawYcPg7u4OQCxYzs7OGDlypLHC0Bop3xzHaL4Ac2ZSoUHaVyqU2DffE4ycQ1FOuUHOQdAvVTVKfLDDCxTN4usjAea5MKG6AnBdXi/9wgTgmQTmiBEsCt+EHFA0i3e2epo6FEkj5WeothhNsNavX49Ro0bB398f3bp1g7e3N06dOoW+ffti165dxgpDa6R8c1za8hCMnENcUJZB2heGIRd4QqU0wwc1oREbXB+Dolm87ngHz4rNMMt5dgyfz6pOrlxpko2dYBJSckuFYXSz/CIiEaT8DNUWowmWSqXCunXrYGdnBysrK1hZWaFz585YuXKlsULQCSnfHHeORoKRc3jolmyQ9pPCssHIOZxbZ5yi0gTNaC5v1YPEXAytzdZ+KzLThBE2gUrFDwE69efFatNwIPa2qaMitGMqaxTC31FeqeGmWVg6Un6GaotR0zQAQFVVFaKiohAQEICSEjOeVNsAKd8c/tcSwcg5eJ4yzPBK8K0UMHIOtw+TivPmRFOCVVhejQkb+Gztyy+EmzjCBpTl8ZPX63qtTszgJ7cTCCbmDSd3UDSLiHTDTLNoD0j5GaotRhOs2bNno7i4uNHrpaWlmD17trHC0Bop3xzRvhlg5Byu7Wxc/kQfuB+LAiPnEHQzySDtE7SjKcFafDYEFM3i7c0eKK00k2zsAJ9uYdtIXqzW9gZ8d/NpGQgEM2Dabm/z7PGVEFJ+hmqL0QTL2toaz541roeXk5MDGxsbY4WhNVK+OdJi8sHIOZz8zc8g7busD+TrHYYYvt4hQXMaCta1sAxQNIvhP99E8JN8U4fHo6jmE4Wu7s7L1a4/8YlECQQz4ruTD0HRLI75kC+R2iLlZ6i2GFywioqKUFhYCCsrKyQkJKCoqEjY8vPz4ezsjAEDBrS5XYZhQFEUbG1tMXbsWAQEaDb/5+zZs5DJZJg+fXqbr0OqN0dRTjkYOYe98z30PgldpVLhwKJ7YOQc8p6W6rVtgm7UF6yE7GKMWX0LFM1i2x0zSZiYn8yXuKkbErw6ny+BQyCYGY43okDRLH6/qf9Eysp2sjBIys9QbTG4YFlZWcHa2rrZzcbGBuvWrWtTm+fOnUOnTp1w9OhRREVF4dtvv0WPHj2a7CGrT3JyMgYNGoS//vWv7UqwlAol9nzvAUbOoSRfv4WYi/MqeHn73gMKBRnSMSfqC9Zn+/1A0SymMT6oNvW/k0oFBDsDvw+sLdI8GIi4ZNqYCIQWOOzNJ+SddzpYr+0m55Ri4kYOnx/wQ1ETBdYtCSk/Q7XF4IJ17949eHp6wsrKCpcvX8a9e/eEzc/PDxkZGW1uc+zYsZg/f77ws1KpxMCBA7Fhw4Zmj1EoFJgwYQIOHz4MBweHdiVYAOD8iy8YOYen8QV6bfdJVC5fimf1A722S9Cd+oJF0SxeXumGpBwT9zIWZwGnP1P3Wh2ZAhSQ7P8E86auGPqMPT56a7O0sgaT/3dP+Pv8ZK+vaLWvpSH1Z6g2GG0OVkpKil5yiFRVVcHGxgZXrlwRvf71119j2rRpzR63atUqzJgxAwDapWBd2RYMRs4hxl+/kzTD7qaCkXNw3f9Ir+0SdKehYJ0JMLHIRF4BNg7lxcqxD+CzE1AqTBsTgaABYakFoGgWY39310t7KpUK35/i53W94eQuDN9/ecgfFdWW+Tch9WeoNhhNsI4ePQoXF5dGr7u4uOD48eMat5ORkQG4Ca5ZAAAgAElEQVSZTAY/P/GE7WXLlmHs2LFNHuPt7Y1BgwYhJ4cv46KJYFVWVormi6WlpUn65rjrHG2QlX4epx6DkXPwv5ao13YJuuMdly3I1axjJszWXp4PXPyvutdq31tAVpRpYiEQtCC7uBIUzWLoClYvQ+x7PRNA0Sxe+OUmHqbkIfhJPkb+5gaKZjHneKDph/ENABEsAzJixAh4eHg0ev3evXt48cUXNW6nrYJVXFyMoUOHwtXVVXhNE8FavXo1ZDJZo02qN0cgmwRGzoFz1u8kzbos8bEBZPmyOXE1NB0v/HJTEKz0/DLTBBJ/F9j6Mi9Wa3ryKwZrSLJGgrRQKlUYUVu3MzVPt7+le7HZQqLfU/4pwut+CblCbdD5p4OhsLDJ70SwDIitra1Q7Lk+ycnJ6Ny5s8bttHWIMDQ0FDKZDDY2NsJWl0nexsYGCQkJTZ7H0nqwYh48BSPncOV/IXpt9/BSLzByDtlPGuc4IxgflUqFnXfjREODDTO5G4WqUuDGEnWv1a4/AWlBxo2BQNAjkzZ7gKJZ+Cfmat3Gk9wyvLLmNiiaBX0xvFGvssfjZ8IXo59cwixqhSERLAMyePBgXLt2rdHrV69exaBBg9rU1tixY7FgwQLhZ6VSiUGDBjU5yb2iogIRERGibfr06Xj33XcRERGBqirNvk1L/ebIiCsAI+dw4ldfvbVZXlwFRs6B+Y5DdZVlzhuQElU1Siw5HypI1eprkaYRrCf+wM7X1HJ1cxlQZaIeNAJBT/z7wANQNIvLIWlaHV9WVYMp2+8Lq3kra5r+zHR99BTDVqj/hi2l/qHUn6HaYDTBWr58OSiKgoeHBxQKBRQKBTiOA0VR+PHHH9vU1rlz52Bra4vjx48jOjoac+fORY8ePZCVxZfVmDlzJlasWNHs8e1xkntJvjqdglJP4/vpsfl6lzaCdhSUVQmpGIb/fBMnH6Q0W4vQYNRUAu5rgDU9eLHaNgpI9DT8eQkEI7D0fBgomgXjEd/mY1UqFRaeCamd1H4HTwvLW9z/UnCa8Le7yc0wJc6MjdSfodpgNMGqqqrCZ599BisrK3Ts2BEdO3aEjY0NZs+erXEvUn12796NIUOGoFOnThg7diz8/f2F9yZNmgQHB4dmj22PgqVUqrB3Hp8Lqyi35T9uTYm4nw5GzuEGE6aX9gjakZxTine2eIKiWfxx1S3ci80G0HyxZ4OQGQHsnaDutbr8HVBB6rYRLIdtt2NA0Sx+udz2FdOHvBJB0Sye//mmxkOMJx+kCH+/2kiduSH1Z6g2GL3Yc2xsLFxcXHDjxg2kpKS0foCZYAk3x8mVfmDkHNJj9VMm5f65WDByDj4Xpf/HL1UCk/Pw2lp+TseEDRweZ6rvT6MIllIBeG3j6weutgc2DQeirxvmXASCCTkb8IRfkXtUs6ohdfjG5whDfsd9k9t07MH7icLf8FGJl+mxhGdoWzG6YOXk5AjpEqSEJdwcV7eHgJFziPZ9qtf2onzaniyWoDtXQ9Mx4hd+1dE/d3vjWXGF6H2DC1ZuAnB4srrX6sx/gJJs/Z+HQDAD7sfyaU/+/r/7Gh+Tll8mfAFaej5Mq/lU291jhb/jc4HSTcprCc/QtmIUwSooKMC8efPQu3dvoURO7969MX/+fBQU6DezuKGwhJvD4ySfsyrgun5yVh2jfcDIOWQmkqEgY9JwpeDcE0Eob2KRgcEES6UCAg8B6/5QW+rm/4DQ0/zrBIKFEv+sGBTNYvSqWxrtX1GtwD92eoGiWXy0y1vrBKIqlQq/34wW8nBdDU3Xqh1TYwnP0LZicMHKy8vDiy++CDs7O8ydOxfbt2/H9u3b8e2338LOzg4vv/wy8vP1M2RlSMz15mjLQzTINRmMnIP7Md2TPFaW1/ArCOUcKsstt7yDuVFZoxCtFPz9ZrRxl3IXZQAnPlb3Wh3/CChINd75CQQTUVqp/qxtrW6gSqXCD+f4v9PXHe8gvUC3ea8qlQq/XH4kLGK5HSm9vIPm+gw1JAYXrMWLF2P06NHCCr/6ZGZmYsyYMfjhhx8MHYbOmOvN0RbBig3MBCPncHmr7gVLM5MKwcg5HFvurXNbBDUt/XsWlFXh03orBesnKTQKaUHAhiG8WDn1A/z3A0rLyzhNIDTHq7XDfTGZLef9O+qTJPyd+iboZ0qMUqnCklppG/GLK7zipDUcb67PUENicMGiKAq3bjXfperm5gaKogwdhs6Y683RFsHKTOSl6PgK3QuWRvtmgJFzuLpdv4lL2zvN/Xs2t1LQaGRGqOXqwCQgO9a45ycQzIAPdvBDfh6PnzW7z4PEXAz/mU8WethbvxPTaxRKfHeSr2H40kpXBCTl6bV9Q2Kuz1BDYnDB6tSpE9LSmk/MlpaWBltbW0OHoTPmenO0RbBKCyvByDns+Y6Doka3ngffi/Fg5BzunyUPWn3S1L9nw5WCrX171js58cDmF3i5OvQ+UFli3PMTCGbCnONBoGgWJx803XucUVCOPzneAUWzWHQ2xCBJQqtqlHA4GiB82QpPI/OYzRWDC9bAgQPh7d38MJKXlxcGDBhg6DB0xlxvjrYIlkqlwr4FnmDkHAqzdcusfYMJAyPnEHFPu6zGbcXoSTNNRMPrbG2loMEpSOUThq62B/ZNBMql8WFOIBiC365GNJv8s6JagWm7vUHRLKbu8Gpy4Ym+qKhW4PMD/HSBV9feFqVnMVfM9RlqSAwuWLNnz8bbb7/dZDLRyspKTJo0CbNnzzZ0GDpjrjdHW8Xj9OoHYOQcUqN161o+8asvn1MrxjgLFNqjYG259bjVlYIGpThLXfJm959JCgZCu2ffvQRQNIvFZ8VTI1QqFX5yCROER9eC0JpQUlmDGXt8arPDuyMx27x7ls31GWpIDC5YaWlp6N+/P4YMGYJNmzbh2rVruHr1KjZs2IDBgwejX79+SE01/1VI5npztFU8ru8K5XNXeWufu6qmSgHmO34FYVlR27Pwa0N7FCyTrRQEgLI8YM94Xq62jwYKpbk0nEDQJ9fCMkDRLD7d7yd6/URt1vVhK1ijTj4vLKsW5oWNX3/XKGKnLeb6DDUkRsmDlZSUhKlTp8La2hpWVlawsrKCtbU1pkyZgvh4aWQBN9ebo63ice90DBg5hwdXErQ+Z3ZqMRg5h0NL7xutEGl7EazC8irhOof/fBOn/U2QWLCyGDjwN16utrwI5OknbxqBIHUepuSBollM3MgJrwUm5+H52knt++9p/7mqLbkllXhv2z1QNIu3N3sgq8jI0wg0xFyfoYbEqJnc8/PzERAQgICAAOTlSWf1A2C+N0dbxSP4dgoYOYfbhyO1PmdduodLmx9q3UZbaS+C5XgjUrjOO1EmyHVTXQ4c/QcvVxuHAs+ijR8DgWCmPC0sF2oKKpQqZBZW4A0nd1A0i3mng432hbMhmYUV+OsmD1A0i/e33UNuSaVJ4mgJc32GGhKjl8qRKvq6OfQtCm1tL/7hMzByDhc3BWl9Tv9riWDkHDxOGq/Ke3sQrLpSHCa7zpoq4NT/4+Xq90FABknBQSDUR6FUCSkYnuSWCXOgpmy/b/LPpdS8MoxffxcUzeIfO71QWN5yMlRjQwSL0CyWIljPUorAyDkc1SFBqNv+R2DkHELdjTd8ZemClV1cKXwTNsl1KhXA+a9rk4j2B1J8jXduAkFCTNjAgaJZTGd4uRqz+hZScktNHRYAICG7BG848WkiPt7jg9JK8/msJIJFaBZLEazykiqhxE2NlqvSTq/xByPn8CQyV6vjtcGSBUupVOGrw/6gaBaT/3fP+NepVAJX5vFytbY3EO9unPMSCBLk/+3zFf5Gh65g4RnTfNJRUxD9tAivrOHz5v37wAOtayDqGyJYhGaxFMFSqVQ4sOgeGDmH/My2f+tSKJTY+70HGDmH4jzjTaa0ZMHaX7v0+6WVrghPKzDudapUgOtyXq7W9ACirhn+nASChFl0NkT4G2U8zHORVlhqAf646hYomsXsY4Go0jGxtD4ggkVoFksRLAA4s5bvgUrRogcqP7MUjJzDgUX3jDqh01IFKzS1QFiBdCbgifGvk1unLtwcesbw5yMQJE7dFyL5iYcmm9SuCf6JuXhpJZ+keN6pYNQoTCtZRLAIzWJJgsXuCeezsN9ve26jhBB+krzL+sA2H6sLlihYxRXVwsqfeaf4FUhGvU6fHWq5Cjho2HMRCBZCZY0Cfgm5JhcWTbgXm40XfuG/wC09H2b8fHr1IIJFaBZLEqz752LByDn4Xmp793bQzWQwcg7uR6PafKwuWJpgqVQqLDzDDzVM2MAJK36Mdp1BR9Ry5bXNcOchEAgmxS0iU1j5uPJKhMl63YhgEZrFkgQr1P0JGDmHWwcj2ny+O0ciwcg5PHRLbvOxumBpgnU+KFVIJvowxTjlhgTCzwOru/Ny5b7GuOcmEAhG50pIOoau4D8/19+MNolkEcEiNIslCVZiSLbWw3zn1gWAkXNIDDVuXTpLEqz4ZyV4eaWbaSbJPmaBNT15uWJ/5Ce5EwgEi+dMwBPhM3Tn3Tijn58IFqFZLEmw6krdHPnJq03nUilV2L/AE4ycQ0GWcWteWYpgVVQrMLW2dtgXhx4Yd05Eggfg2IeXq8tyPj0DgUBoNxz2ThI+Rw95GbcEFhEsQrNYkmBVllULubCqKjSPoSinHIycw975HlAaeYKnPn9vppS11df4Ujh/cryDZ8asGfbEH1j3B16uzn0JKKQrqQQCQXt23Y0TPv+MWeuUCBahWSxJsADg0JL7YOQccjNKND4m+VEOGDmHM2v9tQlVJyxBsO5EZQnn9TBmcsKnYcD6wbxcnfgYqDG/OmUEAsE4qFQqbHB9LCRKvRySZpTzEsEiNIulCVbdXKrk8ByNjwm5o/3keF2RumA9LSzHq2v57MpON4y4AjMjBNg0jJerI1OBKuMO7RIIBPNDpVLht6sRwkIbt4inBj8nESxCs1iaYLnu4+sJhnukanwM5xwNRs4h4Lpxx+4BaQuWQqnCZ/v9QNEsPtrlbZysyrkJwIVv1KkY9r8NVBQa/rwEAkESKJUq/OgSBopm8cIvNw1e8ocIFqFZLE2wvF3iwMg5eF/QfDXJxU1BYOQc4oKytAlVJ6QsWDvc+TkPo35zQ3KOgYvCFqYD1xepVwqutgdcZgFleYY9L4FAkBwKpQrzTgeDolm8+KsrHiQarr4sESxCs1iaYIV7pIKRc3Dd90ij/VUqFQ7+UDtvK13zeVv6QqqCFZCUh2G1+WcMOtehNBe49Qvg2FctVqf+Hz//ikAgEJqhqkaJb44FCl8CQ54YJi8fESxCs1iaYCWF8xPWz60L0Gj/0sJKMHIOe77joKg2/vJ+KQpWQVkV3lx/FxTNYsn5UMOcpLIY8NwI/D5ILVZHpgApvoY5H4FAsDgqqhX4z8EHoGgWY1bfQlSG/iWICBahWSxNsHLTS8DIORxacl+j/dMe54GRczj5m5+2oeqE1ARLpVLhW+cgUDSLv23xRGmlns9TXQH4MeoJ7KvtgX0Tgbg7JHkogUBoM6WVNfjXXl8hjUz8M/2OVBDBIjSLpQlWVUWNkAursqy61f3DPdLAyDmwe8J1CVdrpCZYzn7JwuTRiHQ9Ti5X1AAPjwPbRqrFaufrQMRFkjhUIiiVSlRUVJCNbGa3ZRcUw+GQNyasc8M/d3BIfJqv8bEKhaLF+54IFqFZLE2wAODwj15g5ByyU4tb3ffemRgwcg5+lxOMEptU2mqKqIwijPjVFRTN4rB3kn4aVSp5idr5ulqsto3kZYskDZUMVVVViImJQXR0NNnIZpZbZGQUPP1DcMc3GB4PQhARGaXxsU+fPm22ziERLEKzWKJguawP1Liu4JVtwWDkHB4/0DxfirlKkSH/DXJKKvDuVk9QNIvZxwJ1L6qqUvHDfvveUovVpmH88GC1ETPBE3RGpVIhJSUF8fHxKCsrM3lvBdnI1txWXFqGqNQchCU/Q3RaLsrLy1vcv7y8HLm5uYJkNQURLEKzWKJguR2IACPnEOreermEI8u8wcg5ZCVrfv36vNbSymqhrWUXwrDiUjiWXwjHTy5hWHo+DEvOh+KHc6FYdDYEC86EYP7pYMw7FYzvTj7E3BNB+NY5CHOOB+GbY4GYedhfaGv9zWhcC8tAbFYxqrUs/1P/OpeeDwVFs/jLOnfkluiYMT3Fj5+wXidWvw/iJ7RXtt7jSDA/qqurER0djcJCko+MYP5U1SgQk1mM4orWp5DUUSdZTQ0XEsEiNIslCpbvpXgwcg5e52Jb3K+iVLvahfq81tP+KUJbhtpe+OUmpmy/j4VnQsB4xMM9KgupeWWtFmSuf50UzZef8E3QPEN+I7IigZOfqMXKsS+fgqHUcDlqCIanoqIC0dHRKC8vN3UoBIJGtLUHvry8HNHR0aioaNy7TgSL0CzmKljFFdVatxdxT7OJ60/jC8DIORxf4dOm9vV1rYVl1Xjd8Y7Q1tbbMdjNxYHxiMdezwTsu5eAA/cTcMgrEYe9k3DEOwnHfJLg7JeMEw9ScPJBCk77P8HZgCc4H5iKkw/UsvbThTB8vMcHf1x1q1nxGvWbG2bs8QF9MRxHfZLgG5+DnHq9Uw0Fa8utGK2vFdmx6qLMa3rySUML07Vvj2A21AlWUw8fAsESaOkeJ4JFaBZzFayLwWlCe1lFbftmnBKZC0bO4axjy8Wbo7wzwMg5XN/ZtlxO+rrWX688EgmMIeZgqVQqpOWXgXuchT2e8Vh8NgRTtt/HC7/cbFa83nC6g/8cfICV9eKbwfigRsuhRtRU8qkWVtsDh//Ol7shWAxEsAiWDhEsMUSwNMRcBWtJ7ZwfimbheCOyTcfmZ5aCkXM4sOhei13BQlmd85qX1QH0c63haQUYuoI1uGA1R7VCibisYtwIz8DW2zH41jkIb2/2aBRT3Rb3TIf5Ubd/5eVq41CgyPDFVwnGhQiWYfDx8cHo0aPRoUMHTJ8+3dThtGuIYIkhgqUh5ihYKpUK42ozhdfNIXqSW6bx8TVVCmFuVUVJ8xMZr+8KBSPnEOnVtqEqXa9VoVRh2m5vUDSL+bX1ssxlFWFZVQ3CUgtwPigVq2qr0usUW4KHes7V45vatUEwa6QqWA4ODpDJZMLWq1cvTJkyBeHhpsmJ15CxY8fiq6++QlpaGgoKClrd/6WXXkKnTp2QmZnZ6D2KorB9+3ZDhNkuIIIlhgiWhpijYCVmlzTqQZl3KrhNbRytXR34LKX563L+2ReMnENGfOsfXvXR9VpP1U5sH73qFlJyS81KsPTaXmkusOVFXq5u/KBzPATzRMqCNXXqVGRmZiIzMxOhoaH48MMPMXjwYFOHBgDo3bs3jh49qtG+3t7eGDJkCL744gts3Lix0ftEsHSDCJYYIlgaYo6CdaI2W3jdVldUODA5T+M2Lm4KAiPnEP/wWZPv18/43lIvV1Pocq25JZV4Zc1tUDSLoz5JksmD1eb2VCrgzH94udr9Z6BK8x5IgrSQsmA1HHrz9vaGTCZDdjafQ2/58uUYMWIEunTpgmHDhmHlypWorhZ/Xjg5OaFv377o2rUr5syZA5qm8eqrr7Z47srKSixcuBB9+/aFra0tJk6ciMDAQABAcnKyqGdNJpPh2LFjLbY3a9YsrFixAm5ubnjxxRdF702aNKlRe3VcvHgRo0aNQqdOnUBRFLZu3So6lqIoODk5YebMmbCzs8OQIUNw7do1ZGdnY9q0abCzs8OYMWMQFBQkHJOSkoKPPvoIPXr0wHPPPYdRo0bh5k1p914TwRJDBEtDzFGw6mrd1V8RR9Espu32bjW1QB23D0eCkXMIvp3S5PvPUorAyDkc+cmrzfHpcq0/ufDX8sEOL9QolJYrWEFHebla2xt4GqZzLATzpeHDR6VSoayqxiRbW5bfNxSskpISyOVyvPDCC1DWlmdycnKCr68vkpOTcf36dfTv3x+bNm0Sjjl16hQ6d+6Mo0ePIjY2FmvXroW9vX2rgrVo0SIMHDgQrq6uiIqKgoODA3r27Im8vDwoFApkZmbC3t4eO3bsQGZmZospMIqLi2FnZ4fIyEgoFAr0798fXl7qz7W8vDz83//9HxwdHYXeOgB4+PAhrK2t4ejoiNjYWBw7dgxdunQRyRxFUejVqxf279+PuLg4fP/997C3t8fUqVPh4uKC2NhYzJgxAyNHjhR+9x9++CEmT56MR48eITExETdu3MD9+5rVhjVXiGCJIYKlIeYmWDUKJUavFqcWeJJXKqQbuBySplE7D64kgJFzuHe66dQCMQ+egpFzuLy1bUOPgPbXGpScJxz3MCVfp7b0GZfe28uOBZz684Llu0vnOAjmTcOHT8P0Hsbc2nKfOjg4wMbGBnZ2drCzs4NMJsOAAQMQHNz8Z8KWLVvwxhtvCD+PGzcO8+fPF+0zceLEFgWrtLQUHTt2xOnTp4XXqqurMXDgQGzevFl4rXv37q32XAHAwYMH8dprrwk/L168GA4ODqJ9mhoi/OKLLzB58mTRa8uWLcOoUaNEx3311VfCz5mZmZDJZPjtt9+E1x48eACZTCaI25gxY7BmzZpW45YSRLDEEMHSEHMTrOAn+aBoFmPqSVZZVQ32eMaDolmMX38X5VUtF98EgEivdD4Fw66me0/8agXMsxkBawltrrVGocSU7fdB0SyWX1BPojVnwdKKmkp1+RvnaaRQcztAyoL1/vvvIz4+HvHx8QgMDMSsWbPQr18/pKTwPd/nzp3DhAkT0L9/f9jZ2cHW1hZ9+/YV2ujRowecnZ1F7S5ZskQQLC8vL0Hg7OzscOrUKYSHh0MmkwnnqGPGjBmYPXu28HNDwRo1apTQztSpU4XXx48fLxraCwoKwnPPPYfiYvXK36YE6/XXX28kQlevXkXHjh2FjOUURYmkT6VSQSaTwcXFRXgtKSkJMplMWBxw6NAhdOjQARMmTMCqVavMZtGALhDBEkMES0PMTbB23Y0DRbP4r3OgqL2KagUmbOBA0Sx23m09rUJqdB4YOYfTqx80+f7NveFg5BzCPVLbHKM213rYOwkUzeLVtbeRV1qlU1v6jEvvkJQM7Q5LGSIEAIVCATs7O/z666/w8/ODjY0N1q1bh6CgIMTFxcHR0RHdu3cX9m9NsMrLywWBi4+PR3FxsdaCVVfvMT4+Hunp/MrnqKgoyGQyWFtbw8bGRthkMhkOHjwoHKuLYDU8TiaT4cqVK8LPdXPGQkPV+QRTU1Oxb98+fPzxx+jYsSN27ZJ2TzYRLDFEsDTE3ATr0/1+oGgWR3ySGrV3PSwDFM3i5ZVuyCpqeUJtwbMyMHIO+xZ4Nvmhe2rVAzByDqnRmk+cr6Ot15pVVCEMcZ72F9dHtCjBEqVkYI1/foJJsKRJ7kqlEt26dcPSpUuxdetWDB8+XPT+nDlzRII1btw4LFiwQLTPW2+91eoQYadOnRoNEQ4aNAhbtmwRXtNkiHDp0qV4++23ERERIdqWLl2KcePGCfuNGDGi0QT25oYI//jHPwo/aytY9VmxYgXGjBnT4nWYO0SwxBDB0hBzEqzSyhohw3j008JG7alUKny8xwcUzeInl5YnTitqlGC+41cJlhaKixMrqpXY870H/15B2wsXt/VaF54JAUWzmMb4NJqkbzGCVZYHbH2Jl6vri417boJJkbJg1U/TEB0djXnz5sHKygqenp64du0aOnTogLNnzyIhIQE7d+5Er169RIJ16tQpdOnSBcePH0dcXBycnJxgb28vmhPVFIsXL8bAgQPh5uYmmuSen58v7NOaYFVXV6Nv377Yt29fo/eio6Mhk8kQGcknaZ48eTKmTZuG9PR05OTw9USDg4NFk9yPHz/e5CT3tgrW4sWLcevWLSQlJSE4OBjjxo3DZ5991uLvw9whgiWGCJaGmJNgeTx+BopmMXEjh9LKpmsRhtTO0Rq6gkVEemGL7R1f4QNGziEzUbxfbnoJGDmHg4tbzvTeHG25Vt/4HFA0n2qiqXhN3uukD1Qq4OwXvFzteoOkZGhnSFmw6qcu6NatG/7yl7/g4sWLwj7Lli1D79690bVrV3z++efYvn27SLAAwNHREX369EHXrl3xzTffYNGiRRg/fnyL566oqMDChQvRp0+fRmka6mhNsC5evAhra2tkZWU1+f7IkSOxZMkSAPxE9FdeeQW2trZNpmno2LEjhgwZIupBA7QTrAULFuD5558X5qvNnDkTubnSLuhOBEsMESwNMSfBcrwRBYpmQV8Mb7G9RWf5HqHPD/i1KEiXtjwEI+cQGyjObBz/8BkYOYcLG4OaObJlNL3Wqhol3t3qCYpm8dvVCJ3aMmtISoZ2jVQFy1C8//77opV3BOlDBEsMESwNMSfBqltldz0so8X20gvK8eKvrqBoFrciG5eFqMP9aBQYOYeHbsmi1wPZJDByDnedo7WKU9NrrVv5+IbTHRSWN53MVPKCVT8lg89OU0dDMAHtWbDKysqwbds2REZG4vHjx1i1ahVkMhnc3d1NHRpBjxDBEkMES0PMRbCeFVcIx+eVVrXa3pZbMaBoFpM2e6CqpulUAP7XE8HIOXicfCx6/dahiBaTkLaGJteaXlCOl1e6gaJZXApuPneXpAWrpgrY/1eSkqGd054Fq7y8HO+99x569eqF5557Dq+//jouXbpk6rAIeoYIlhgiWBpiLoJ1JSQdFM3iHzu9NGqvpLIGf17nDopmccgrsck2o30zwMg5XNsRInr9rGMAGDmH5Ec5bY5Tk9gAYO4JPhv9p/tbHsaUtGDdXlmbkoEiKRnaMe1ZsAjtAyJYYohgaYi5CNbS83wJmfWu0Rq3dy7wCSiaT0qaXy+3VB3pMflg5BxOrvQTXlMqVdg33xOMnENhdvPlJ1qitdjqJusP//kmYjKLm2hB87bMlkRPdUqG6BumjoZgQohgESwdIlhiiGBpiDkIlkqlwrjf74KiWXjFZWvcnkKpwtQdXhb+S6YAACAASURBVKBoFquvRTZ6vyi3HIycw955HlDVpkeoy4+1f4GnxnUNG9JSbBXVCvx1kwcomsXvN1uf4yVJwRKlZFhk6mgIJoYIFsHSIYIlhgiWhpiDYMU/KwZFsxjxqysqqhVtaq8uDcLwn28i/lmJ6D2lQp3vqiSf/8NICs8BI+dwbl1AG69QTUux/e9OLCiaxbjf76K0svXfg+QEq1FKhlJTR0QwMUSwCJYOESwxRLA0xBwE61ht1vYvDqnL2rSlvTnH+flO3xwLbPTeiV99wcg5ZMQXAACCb6WAkXO4fbhxj5emNBdbck4pRtSubmTDNZuTJDnBenhMnZIho+nMzYT2BREsgqVDBEsMESwNMQfBmnOcrzu41zNBq/YSs0vw/M98BnjvOPHE9Sv/CwYj5xDzgBeeu8f41A1BN5PaFGN9mopNpVLh6yMBoGgWXx321ziBqaQEKycOWPeH2pQMO0wdDcFMIIJFsHSIYIkhgqUhphasaoVSqNP3KE2d6byt7a25HgmKZjFl+30o6s2t4pyjwcg5BLK8ULmsDwQj55AQ/KwNVyemqdjcIp7yw5y/uCIxu6SVFlpuyyypn5Lh+D9JSgaCABEsgqVDBEsMESwNMbVgBSXngaJZvLr2tmjSeVvbKyirwitrboOiWZwJUBdUrp9UVKVS4cDie2DkHPKeaj93qGFsZVU1eHM9P0l/6+0YndoyW+78Vi8lQ4apoyGYEUSwDIOPjw9Gjx6NDh06NCpKbQhWr17dYpHqppg0aRIWL2659mjD0jpShAiWGCJYGmJqwdruzk8Kn3cqWOf2jngnCZnTiyv4zOkx/plg5ByubAtGSX4Fv6rwew8oFNr3wDSMbYPrY1A0X0OxvEqhU1tmSeI9YHX32pQM100dDcHMkKpgNaxF2KtXL0yZMgXh4eGmDg0AMHbsWHz11VdIS0tDQUFBk/t4enpCJpNh1KhRUCjEnz2t1TJsSElJSZtrBhLBIoJFaAFTC9Yne30b9Tpp2161Qol3tvC1/za58dnbM+ILwMg5OP/iiydRuWDkHE6vftBKSy1TP7bwtAJh/pd7VNNFVzVtyywFq35KhmsLTR0NwQyRsmBNnToVmZmZyMzMRGhoKD788EMMHjzY1KEBAHr37o2jR4+2uE+dYHXu3LnRvm0VLG0wlWBVVTXOe2hIiGCJIYKlIaYUrOKKagyvlZPUvDKd2wOAO1FZQsqH1LwylORXgpFz2PO9B0LuPAEj5+C6/1Gbrq0h9WP7dB8viHOOG7ZwtEkgKRkIGiBlwWo49Obt7Q2ZTIbsbD4f3/LlyzFixAh06dIFw4YNw8qVK1FdLa4r6uTkhL59+6Jr166YM2cOaJpudaitsrISCxcuRN++fWFra4uJEyciMJBfBZ2cnCzqWZPJZM2KUp1gLVu2DIMHD0ZlZaXwXkPBKigowJw5c9CnTx9069YN77zzDsLC1MXZGw4R1tTUYOHChejevTt69eqF5cuX4+uvvxb9ziZNmoSFCxdi2bJl6NmzJ/r374/Vq1eLYpTJZNi7dy+mTp2Kzp07Y9iwYbhw4YJon0ePHuGdd95B586d0atXL3z77bcoKVHPZa37t1q3bh0GDBiAoUOHAgD27NmDF154Aba2tujXrx8++eSTFn/v2kIESwwRLA0xpWC518rQ25s99NIewK/m+8/BB6BoFgvOhEClVGHvfD4X1rWdoWDkHB5cTWi9oRaoHxtFs3hppWsjQZQ8GSHAiY9JSgZCqzR8+KhUKlRXKkyyabp6F2gsWCUlJZDL5XjhhRegrF3E4eTkBF9fXyQnJ+P69evo378/Nm3aJBxz6tQpofcoNjYWa9euhb29fauCtWjRIgwcOBCurq6IioqCg4MDevbsiby8PCgUCmRmZsLe3h47duxAZmYmysubrjpRJ1gZGRkYMGAAtmzZIrzXULDef/99/POf/0RQUBDi4uLw448/onfv3sjLywPQWLDWrVuHXr164fLly3j8+DG+++472NvbNxIse3t7rFmzBnFxcXB2doaVlRXu3Lkj7COTydC7d28cOnQIsbGxWLlyJWxsbBAdzSdiLi0txYABA/Cvf/0LERER4DgOw4YNg4ODg+jfqmvXrpg5cyYiIyMRGRmJoKAg2NjY4MyZM0hJSUFISAh27jRMwXkiWGKIYGmIKQVr9TV+5d/Plxv3KOnSsxOZUYihK/hjH6bk4+RvfmDknFAiJzYgs03ttRQbRbPYzcXp1J5ZkR0DnPtKXQZnbS8g8LCpoyKYMQ0fPtWVCjByziRbdaXmcyAdHBxgY2MDOzs72NnZQSaTYcCAAQgODm72mC1btuCNN94Qfh43bhzmz58v2mfixIktClZpaSk6duyI06dPC69VV1dj4MCB2Lx5s/CaJkN8dYJVUFCA/fv3o1evXigsLGx0vLe3N+zt7UU9XADw/PPP48CBAwAaC1b//v1FwqZQKDBkyJBGgvXWW2+J2vzLX/4CmqaFn2UyGb777jvRPuPGjcP3338PADh48CB69uyJ0lJ1D/nNmzdhbW2NrCx+2oWDgwP69+8vGhq8dOkS7O3tUVzccjkyfUAESwwRLA0xpWC9t+0eKJqF66PGSTl1HTpbfiEcFM1iOuODq9tDRB/C2U90+4OsH9ukzR6orGnbxHazJD8ZuPwdsKZHrVx1By7+F8jVrbePYPlIWbDef/99xMfHIz4+HoGBgZg1axb69euHlJQUAMC5c+cwYcIE9O/fH3Z2drC1tUXfvn2FNnr06AFnZ2dRu0uWLBFExcvLSxA4Ozs7nDp1CuHh4ZDJZMI56pgxYwZmz54t/NxQsEaNGiW0M3XqVABiwaqpqcGIESPw888/NzqeYRhYW1uLYrGzs4O1tTWWL18OQCxYhYWFkMlkuH//vijGjz/+uJFgzZs3T7TPtGnTRNchk8ka/Y5++OEH/O1vfxN+X3X/X0fD89f9W9WnuLgYY8aMQZ8+ffDVV1/h1KlTKCszzEgCESwxRLA0xFSClVlYAYpmMXQFi4KyxhMWdRWsZ0UVGPmbGyiaxbEdD9Ufwt9xqG7jSr86qmqUCHmSj11cnBCbe5RuvWEmpzgTYH/khwHreq3OfgFkRZk6MoJEsJQhQoDvpbGzs8Ovv/4KPz8/2NjYYN26dcKwmqOjI7p37y7s35pglZeXCwIXHx+P4uJirQUrJSVFaCc9PR2AWLAAwMXFBc899xwyMjJEx2/cuBGDBg0SxVK35eTwyZm1FayGk9ynT58uGt7Tl2A1laqipqYG7u7uWLZsGYYPH44XXnih2RWXukAES4xkBYthGFAUBVtbW4wdOxYBAc3XzDt48CDeeust9OjRAz169MB7773X4v5NYSrBuvAwDRTNYtpub7201xS7a0Xov/RdQbBO/Oqr8fHZxZW4FZmJ9Tej8cleX7xYWwan/mZ2E9M1pSyPz23l1F8tVs7TgLSHpo6MIDEsaZK7UqlEt27dsHTpUmzduhXDhw8XvT9nzhyRYI0bNw4LFiwQ7fPWW2+1OkTYqVOnRkOEgwYNanEOVVM0FCyAH6KbO3eu6Pg7d+7AxsYGycnJzbbV1BDh1q1bhZ8VCgUoitJKsOqGA+sYP358m4cIW8sFVlpaig4dOuDSpUst7qcNRLDESFKwzp07h06dOuHo0aOIiorCt99+ix49euDZs6azjn/xxRfYs2cPQkND8fjxY8yaNQvdu3cXvt1ogqkE64dzoaJ0Crq21xQV1Qq8uf4upixxEwTrxu6wJvetUSgRkV6IE37JWHw2BH/d5NFIpiiaxWtrb2PW0QDpClZlMXBvE7D+/9Rideg9PtcVgaAFUhas+mkaoqOjMW/ePFhZWcHT0xPXrl1Dhw4dcPbsWSQkJGDnzp3o1auXSLBOnTqFLl264Pjx44iLi4OTkxPs7e3x2muvtXjuxYsXY+DAgXBzcxNNcs/Pzxf20VawOI5Dhw4d0KFDB+F4lUoliN/t27eRnJwMX19f/PLLLwgK4ldANzXJvXfv3rh69SpiYmIwf/582NvbY8aMGcI+mgpWnz59cOTIEcTGxmLVqlWwtrZGVBTfS15WVoYBAwbgk08+QUREBDw8PDB8+PBGk9wbCtaNGzewc+dOhIaGIiUlBXv37oW1tTUiI7WvM9scRLDESFKwxo4dK5owqVQqMXDgQGzYsEGj4xUKBbp169aoO7YlTCFYKpUKf17nDopm4ZuQ0+Q++kpfcDU0HeN/vCkIls/FeAB85nePx8+w5VYM/nPwgTCcWH8buoIvvfPz5Ue48DANSTmlUKlU5p1aoTmqKwA/Btg0TC1WeycAMW58OgYCQUukLFj1UyF069YNf/nLX3Dx4kVhn2XLlqF3797o2rUrPv/8c2zfvl0kWADg6OiIPn36oGvXrvjmm2+waNEijB8/vsVzV1RUYOHChejTp0+jNA11aCtYAPD3v/+9UXqH4uJiLFy4EAMHDkTHjh0xePBgfPnll0hNTQXQdJqGBQsWwN7eHj179gRN0/j000/x73//W9hHU8Has2cPJk+eDFtbWwwdOhTnz58XHaNpmob6eHt7Y9KkSejZsye6dOmCV155pVG7+oIIlhjJCVZVVRVsbGwaJWT7+uuvMW3aNI3aKC4uRufOnXHjxg2Nz2sKwYrJLBbSGzQ3QVxfEqNSqfDpdm9BsNbs8Me7Wz2b7J0aveoWZh4JwHb3WHjFZaOoorrJNiUlWIpq4OExYNtItVjtfB14dIHUEyToBakKlqF4//338dVXX5k6DL2jVCrx4osvYuXKlaYOxegQwRIjOcHKyMiATCaDn5+f6PVly5Zh7NixGrXx/fffY/jw4S1+0FVWVqKoqEjY0tLSjC5Yh7wSQdEsZh5p23wxbQlKzsX/5Pw8rDd/VM+jemerJ35yCcOZgCeIzSoW1UJsCUkIllIJhLsAO15Vi9W2kcDD44DCTGMmSJL2LFhlZWXYtm0bIiMj8fjxY6xatQoymQzu7u6mDk1nUlJScPDgQcTGxuLRo0eYO3cuOnbsKOSvak8QwRLT7gRrw4YN6NmzZ6t1tFavXt0oS7CxBatuDtOB+8ZLAbB770Os/uU+NrtFg3uchfxS7UstmLVgqVTA45vAnjfVYrVpOPBgLz9MSCDomfYsWOXl5XjvvffQq1cvPPfcc3j99dcNMsnaFKSmpmLChAmwt7dHt27d8OabbzZaVdheIIIlRnKCpcsQ4ZYtW9C9e3dhsmJLmLoHq6pGKcx3isqQ5g1ptoKlVAIuDmqxWj8YuL8ZqCxp9VACQVvas2AR2gdEsMRITrAAfpJ7/SW/SqUSgwYNanGS+6ZNm2Bvb48HD7QrYGzsOVj+ibmgaBZ/cryj8ZCcuWG2guW+mhcrxz78/5flmTYeQruACBbB0iGCJUaSgnXu3DnY2tri+PHjiI6Oxty5c9GjRw8hF8jMmTOxYsUKYf+NGzeiU6dOuHjxorDUODMzU7T6ojWMLVhbb8cIdQKlilkKVugZdc9V2DlTR0NoRxDBIlg6RLDESFKwAGD37t0YMmQIOnXqhLFjx8Lf3194b9KkSaLlrxRFNTmfqmE185YwtmDN2OMDimZxPjBVp/OZErMTrCcP+F6r1fbA3bWmjobQziCCRbB0iGCJkaxgGRtjClZheTWG1RZhTi9oujq8FDArwcpP4Sex15W4IakXCEaGCBbB0iGCJYYIloYYU7BuRWby6RG2eOp0LlNjNoJVWQzsGc/L1b6JQFVp68cQCHqGCBbB0iGCJYYIloYYU7BWXokARbNYeSVCp3OZGrMQLKUCOP0ZL1dbRgCFaaaJg9DuIYJFsHSIYIkhgqUhxhSsd7bwGdRvRWbqdC5TYxaCdftXXq6c+pECzQST0t4Fi6IobN++3dRhEAwIESwxRLA0xFiClV5QDopmMWwFi8LypkvQSAWTC1bwCfWKwUcXjH9+AqEeUhWspuroAcCxY8ca1RtsiezsbJSVlekzNIKZQQRLDBEsDTGWYJ0PTAVFs5ixx0en85gDJhWsZB9gbW9erjx+N+65CYQmaO+CpQ+qq6X9pdPSIYIlhgiWhhhLsBacCQFFs9h6O0an85gDJhOsvCRg41Bers5/TVYMEswCSxYsBwcHTJ8+HVu2bMEf/vAH9OrVC/PmzRMJUcMhwsePH2PixImwtbXFyJEj4e7uDplMJlTpSE5Ohkwmw7lz5/D222/D1tYWx44dQ25uLv79739j4MCB6NKlC0aPHo0zZ840innBggVYvHgxevTogX79+uHgwYMoLS3FrFmz0LVrVzz//PNwdXU1xK+s3UIESwwRLA0xhmAplSr8yfEOKJqFf2KuTucxB0wiWBWFADOWl6v9bwNVZEiCYB40evioVPyKVlNsKs2rQ2gqWPb29vjuu+/w+PFj3LhxA8899xwOHjwo7F9fsBQKBV566SVMnjwZYWFh8Pb2xtixY5sUrKFDh+LSpUtISkrC06dPkZ6eji1btiA0NBSJiYnYtWsXbGxsEBAQIIq5W7ducHJyQlxcHJycnGBjY4MPPvgABw8eRFxcHL7//nv07t2bDFvqESJYYohgaYgxBCsyoxAUzWLkb26oqpF+r4vRBUtRA5z8Fy9XW18CijIMf04CQUMaPXyqStVzBI29tSFViaaCRVEUFAqF8P6nn36Kzz//XPi5vmC5ubmhQ4cOyMxUL+Rprgdrx44drcb44Ycf4scffxTF/NZbbwk/KxQK2NnZYebMmcJrmZmZkMlkWpdPIzSGCJYYIlgaYgzBOnA/ARTNYtbRgGaOlhZGFyy3FbUrBvsD6cGGPx+B0AYsXbD+8Y9/iN5ftGgR3nnnHeHn+oK1Y8cODBs2TLR/3WdsQ8Hy8RHPR1UoFHB0dMTo0aPRs2dP2NnZoUOHDvj0009FMc+bN0903JAhQ7B582bhZ5VKBZlMhmvXrmn8uyC0DBEsMUSwNMQYgvXVYX9QNItDXok6ncNcMKpgBR1VPzwiLxv2XASCFkh1iPCf//wnZs2a1ej17du3Y8iQIQDUc7Dqs3jxYkyaNEn4WVvBCg0NFe23YcMG9O7dGydPnkRYWBji4+Px4Ycfis7flBQ2lSai/vkIukMESwwRLA0xtGBVVCvw0kpXUDSLmMxiXcM1C4wmWEn3gbW9eLm6t8lw5yEQdECqk9x/+uknvPLKK41enzlzJt5//30AbResuiHCrKws4f27d+9qJFgfffQRvvnmG+FnpVKJESNGEMEyA4hgiSGCpSGGFizfhBxQNIs/r3OHqg3fLs0ZowhWbgKwYQgvVxe+adM3cwLBmEhVsBITE9G5c2csXLgQ4eHhiImJwbZt29ChQwe4ubkBaLtg1U1ynzJlCsLDw+Hj44Px48dDJpPh6tWrAJoXrCVLlmDw4MHw9fVFdHQ0/vvf/8Le3p4IlhlABEsMESwNMbRgbXJ7DIpm8cO50BaOlhYGF6zyfGDXG7xcHXwXqJZuYWyC5SNVwQKAwMBATJ48GX379kX37t0xbtw4kZi0VbAAdZqGTp064eWXX8aNGzcgk8lw69YtAM0LVl5eHqZPn46uXbuiX79+WLlyJb7++msiWGYAESwxRLA0xNCCNW23NyiaxYWHllMrz6CCpagGnKfxcrVtFFCc1foxBIIJkbJgGQMfHx/IZDIkJCSYOhSClhDBEkMES0MMKVgFZVUYuoJ/LbPQcj58DSpY7I+8XK37A/A0XL9tEwgGgAiWmMuXL+POnTtITk6Gu7s7Ro0ahYkTJ5o6LIIOEMESQwRLQwwpWK6PnoKiWby37Z4+QjUbDCZYAQfVKwajb+ivXQLBgBDBEuPs7IwRI0bA1tYWgwYNgoODA3JzpZ9guT1DBEsMESwNMaRg/Xz5ESiaxeprkfoI1WwwiGAlcMCanrxceW3TT5sEghEggkWwdIhgiSGCpSGGFKy3N3uAolm4R1nWPCK9C1Z2LLB+MC9Xl+aSFYMESUEEi2DpEMESQwRLQwwlWKl5ZaBoFsN/vomSSiMWRDYCehWsiiJg5+u8XB2eDNRU6idIAsFIEMEiWDpEsMQQwdIQQwnWmYAnoGgWn+z11VOk5oNeBev6Il6u/vdHoCRbPwESCEaECBbB0iGCJYYIloYYSrDmnQoGRbPY7h6rp0jNB70JVgKnntSe5KW/AAkEI0IEi2DpEMESQwRLQwwhWCUV1Xh17W1QNIug5Dw9RWo+6EWwKor4PFer7fnUDASCRCGCRbB0iGCJIYKlIYYQrMDkXFA0iz+uuoVqhVJPkZoPehGsuqHB7WOAyhL9BkggGBEiWARLhwiWGCJYGmIIwdp5NxYUzWLO8UA9RWle6CxYZGiQYEFYqmA1V9KGoBkcx+Hll1+GjY0NvvzyS1OHoxNEsMQQwdIQQwjW5wf8QNEsjvok6SlK80Inwao/NHjzJ8MESCAYEakKloODA2QymbD16tVLKNIM8IWbMzMzUVNjfqug3d3dRbE3tXl7e5s0xlGjRmHu3LlIT09HYWGhSWPRFSJYYohgaYghBGvEr66gaBbxz4r1FKUFcW0hGRokWBRSFqypU6ciMzMTmZmZCA0NxYcffojBgwcbNY6qqiqtjqmLOzMzE5988gk++ugj0WvV1dV6OZe22NrawsXFRac2jBkvgCZ/ZwARrIYQwdIQQwgWRbMY+7s7VCRhppj4u2RokGBxSFmwpk+fLnrN29sbMpkM2dnZjYYIPT09IZPJcPfuXbzxxhvo0qUL3nzzTcTExAjHJyQkYNq0aejXrx/s7Ozw5z//Ge7u7qJzUBQFR0dHzJw5E926dYODgwPeeecdzJ8/X7RfdnY2OnbsiLt377Z6LV9++SU++eSTRq//+OOPmDhxInbt2oXBgwejW7duAIArV65g/PjxsLe3R+/evTFjxgw8efJEOC4i4v+3d+dhTZz728CHLcQEgkALimxa11dU3EDcqK+itu5a7aIVL3tQq1Q9tdX24JHWXaFaxdYWj7X1qLi0KG7VYxX3BRUQNAKJgKKmLlQUWQSS+/fHNAMDAQMkmYDfz3XNHxmeTG7SCjfzTJ5JBcMwOHDgAPr06YMmTZqgW7duuHr1KjdGoVBgyJAhcHBwgFQqRadOnXDixAnuuRW3PXv2AACOHj2Krl27QiQSwc3NDeHh4VCry6/T7d69Oz777DPMmDEDjo6OGD58OPLz88EwDLZs2YKgoCCIxWL4+PggMTERN27cQO/evSGRSNC/f3/cuXOH9/3v3LkTnTp1gq2tLd544w2sXLmSez3tcTdv3owhQ4agSZMmiIiI0Pn+UsHio4KlJ2MVrE93JRsoYSNBU4Okkar8y0ej0UBdUCDIVps/6ioXrPz8fEyfPh2tW7eGWq2utmD5+/vj5MmTuHHjBvr164fevXtzx0hOTsYPP/yA1NRUZGRkYOHChRCLxbzy4uXlBZlMhsjISCiVSiiVSmzfvh2Ojo4oLi5faHjNmjXw9vbW63uqqWDZ2dlh1KhRuHbtGlJSUgAAO3bsQFxcHJRKJa5cuYKgoCD4+/tzr6UtSZ06dcLRo0eRlpaGYcOGoX379tyYwMBAjBw5EtevX4dSqcS+fftw/vx5lJaWQqVSwcrKCps2bYJKpUJxcTGUSiVEIhHmzZuHtLQ07Nq1Cw4ODrxS0717d9jZ2WHRokXIyMhAeno6V4S8vb2xd+9epKWlYfDgwWjfvj3efPNNHD9+HKmpqfD19cU777zDHev333+Ho6Mjtm/fjlu3buHQoUNo0aIFIiMjuf/eDMOgefPm2LZtGzIzM6sUNC0qWHxUsPRkrIIVm5hjoISNhHZq8NvOwIvnQqchxGAq//JRFxRA3q69IJu6oEDv3MHBwbCysoJUKoVUKuV+2WrP0tR0Bkvr0KFDYBimxrN3HTt2RFRUFPfYy8sLo0ePrvIeOjo6YteuXdy+zp0746uvvtLre6mpYEml0pf+fNd+r1lZWQDKC9bOnTu5MZcuXQLDMMjJYX+2t2zZkisrulhZWXFnrgBg9uzZ6Nq1K2/MqlWr4OLiwj3u3r07+vbtyxujLUIrV67k9mmvQav4fm3atAnOzs7cY39/f6xfv553rI0bN6JNmza84y5cuLDa70GLChYfFSw9GatgPXjWsKYLjKri1GCWsBeeEmJoDblgDRo0CAqFAgqFAgkJCZgyZQpcXFyQnZ1dbcF6+LD8jguJiYlgGIY7Q5Wfn4958+ahffv23NSZpaUlPv/8c+45Xl5eWLp0aZU8s2fPxpAhQwAAV69ehaWlJbKzswEAy5Yt44qgVCrlnREDai5Yvr6+VfbfuHED48aNg7e3N+zs7LiCeerUKQDlBUsul3PPuXPnDhiG4QrounXrYGVlhX79+uHrr7/mjQWqFqygoCCEhobyxpw9exYMwyA3l10vsXv37pg7dy5vjLYIHT58mNuXkpJSJd/+/fvBMAzKysqg0WggkUggFot575tYLIa1tTXUajV33H379lV5fyqjgsVHBUtPxihYg745aZhwhU+AMvP7BE+tFOXR1CBp1BrLFCHAfnJQKpUiLCys2oL15MkTbnxSUhLvzM/06dPRqlUrxMbGIiUlBQqFAl26dMGcOXO453h5eWHt2rVV8qSkpMDS0hI5OTkIDQ3FoEGDuK/l5uZyRVChUFT5ZOPLrsGqSK1Ww8PDAyNHjsSJEydw8+ZNJCQkgGEY7noxbcFSKBTc83JycsAwDC5fvszty8zMxIYNGzBixAjY2Nhg8+bN3NfqWrDCwsJ4Y7RFqOK1bLryHThwAAzDoLS0FKWlpbCwsEBUVBTvfdNu1R23OlSw+Khg6ckYBWvRvtT6B8u5Aix+HdjZsNdPQVwoTQ2SRq0xXeSuVqthb2+PTz/9tE4Fy8fHB4sXL+a+np+fDwcHB70KFgD4+flh0aJFcHJywo4dO/T+XmpTsLKzs8EwDBITE7l9v//+e50KVkWhoaEICAjgHuuaIuzWrRvvOatWsCGwugAAIABJREFUrYKrqyv32FAFC2CnWGfPnq0za3XHrQ4VLD4qWHoyRsE6nHq//sF+HlE+rZZ9vv7HEwJNDZJXQEMuWBWXaZDL5Zg5cyYsLCwQHx9fp4I1ZswY+Pr6IikpCcnJyRgxYgTs7e31LljR0dEQiURwdHSs1ftZm4JVVFQEe3t7hISEQKlU4ujRo+jSpUutC9bMmTNx7NgxZGZmIiEhAV26dMHUqVO58ZULlvYi988++wxpaWnYvXu3zovcDVWwYmNjYWNjg+XLl0Mul+P69evYtm0bV4CpYNUdFSw9GaNg5RXWc+2SrDPlxSRcBvw8vH7HEwJvavDzl48npIFqyAWr4lIC9vb26NmzJ3799VcA1V/kXlPBysrKwoABA9CkSRN4eHhgw4YNCAwM1Ltg5efnQyKRYObMmbX6XmpTsAC2jLRt2xa2trbo1q0bd9F4bQrWRx99hJYtW8LW1hbNmjXD1KlTeQuKVi5YALtMg6+vL2xsbODm5oZFixZVWabBUAULAOLi4uDn5wexWAwHBwcEBARg69at1R63OlSw+Khg6ckYBavO9+cDAI0G+OkttpjseB/42rlhrhtFU4PkFdFQC5Y5ysrKgqWlJW+9KSI8Klh8VLD0ZHYF61Y8W0wWvwbk3QUOfso+3jyULV8NgeIYTQ2SVwYVrPorKSmBSqXCxIkTeetqEfNABYuPCpaezKpgaTTAf4L402p5d9mL3cNlgPJEvTKaRFEe8E0HmhokrwwqWPWnnX5s27YttxgoMR9UsPioYOnJrAqW9szPEhfgmap8/+H57P5Ng8z/LNa+WX9PDXahqUHySqCCRRo7Klh8VLD0ZDYFS6MBogew5eTIv/hfe/YnsMSV/VrGyy9IFAxvavCs0GkIMQkqWKSxo4LFRwVLT2ZTsNKPsMVkaTMg/0HVrx/5F/v1H980z7NYNDVIXlFUsEhjRwWLjwqWnsyiYGk0wA/92HLyv3/rHpP/kC1f4TIg7fd6ZTUKmhokrygqWKSxo4LFRwVLT2ZRsG4eZMvJMjfg+ePqx/1vETtuY1/zOouVQVOD5NVFBYs0dlSw+Khg6UnwgqVWA9/3YcvJH1/XPPb5Y7aEhcsA+f565TWYilODh+cLnYYQk6OCRRo7Klh8VLD0JHjBur7377NXLYCC3JeP/2MxO/67ALacCY2mBskrjgoWaeyoYPFRwdKToAVLXQZs8GMLyoller5QLrDcnX3O9di6BzYEmhokhApWHdR0u5yGICYmBt7e3rC0tKxya5vGiAoWHxUsPQlasFL2sOVkhQdQ+OTl47VOLGeft8GPLWlCoKlBQgA03IJV+V6ETk5OGDJkCK5du2b0166pYG3atImXS9eWk5Nj9IzVUavVsLe3x+LFi3Hv3j3k5+cLlsVUqGDxUcHSk2AFS10GrO/OFpSTq2v3YkV5bCkLl7ElTQj7ZtLUICFo2AVr6NChUKlUUKlUSEpKwrBhw+Dh4WH0166pYBUWFnKZVCoV/Pz88PHHH/P2qXVcHvHixQtjxwYAqFQqMAyDhISEeh2npKTEQImM/3pUsPioYOlJsIKVvJMtKCu9gKI6vPap1ezz13cDyupx78O6SDv899SgA5B9zrSvTYiZacgFa9SoUbx9Z86cAcMwePjwIQAgJSUFAwYMgFgshpOTE0JCQnhnbLTHiIiIQLNmzeDk5ISZM2fyfpk/ePAAw4cPh1gshre3N7Zt21arKcI+ffpg3rx5VfaPGzcOH3zwAcLCwuDq6gofHx8A7BkwX19fSKVSNGvWDMHBwXj8uPzT2QcOHADDMDh16hQ6d+4MiUSC/v37IzMzkxuTkJCAvn37QiqVQiaToWfPnkhNTeWeW3G7fPkyAGDbtm1o164dRCIRWrZsiQ0bNvDyOjs7Y/Xq1Xj33XdhZ2eHWbNmITU1FQzDYO/evfD394dYLEavXr2QnZ2NM2fOoEuXLpBKpRg5ciSePOHPckRFRaFNmzYQi8Xo0KEDNm/ezH1Ne9zffvsNAQEBEIlE2LOn7n+MU8Hio4KlJ0EKVlkpsM6XLSmnv6nbCxY/Y8tZuAxIjqnbMeri7lVgafO/pwYXmO51CTFTlX/5aDQaFJQUCLJparF8S+WClZ+fj+nTp6N169ZQq9V4/vw5mjdvjrFjxyI1NRXHjx9Hy5YtERwczDuGTCbDjBkzcPPmTRw4cAASiQTR0dHcmLfeegtdunTBhQsXcOXKFfTu3RtNmjQxSMGys7PDtGnTIJfLcePGDQDAxo0bcfToUWRmZuLMmTPo1q0bxo8fzz1PW5L69++Ps2fPIjU1FT179sTgwYO5MV5eXggJCUF6ejrS09MRExMDuVyO4uJiJCYmgmEYHDlyBCqVCqWlpTh9+jQsLS2xatUqpKen44cffqhSapydneHo6IioqCgolUpkZmZyRahTp044fvw4UlNT4evri169emHAgAG4ePEiEhIS4OHhgc8++4w71g8//AAvLy/ExcUhMzMTO3fuhL29PX799VcA5QWrTZs22L9/P27duoU///xTr/dbFypYfFSw9CRIwUrcxhaUVS2B4nrM359ZUz5NZ4qzWLmZwOo32Nf8ZSRQappT8oSYs8q/fApKCuDzs48gW0FJgd65g4ODYWVlBalUCqlUCoZh0Lx5c1y9ehUAEB0dDUdHRzx/Xn4JwKFDh2Bpacn9sg4ODoaXlxfKysqvBR0/fjzeffddAEB6enqV6bSbN2+CYRiDFKzKr61LfHw8rKysUFrK/ozUFqyLFy9yY3bt2gWRSASNRoOysjJYW1tzZaWynJwc3pkrABg5ciTGjBnDG/fxxx/Dz8+Pe+zs7IxJkybxxmiL0M6dO7l92mvQLl26xO0LCwtD9+7duceurq7Yv5+/VM+CBQsQFBTEO+5//vOfGt8bfVHB4qOCpSeTF6yyEmBtJ7aknF1Xr9dEcT6wqhV7rKtb63esl3n+CFjX9e+FTvvUbVqTkEaoIResQYMGQaFQQKFQICEhAVOmTIGLiwuys7Pxz3/+E2+++SbvOXl5edz0mvYYb7/9Nm/M7NmzMWDAAADAvn37YG1tXeWaqaZNm3IFa/r06VzJk0qlVXLWVLBGjx5dZf+5c+cwdOhQuLu7w87ODk2aNAHDMLh9+zaA8oJVWFjIPef06dNgGAa5uexSOfPmzYONjQ0GDx6M1atXIzs7mxurq2C1adMGkZGRvBzbtm2DTCbjHjs7O+Pbb7/ljdEWIblczu3bv39/lXzr16/nro37888/wTAMJBIJ730TiURo1aoV77jJyclV3p+6oILFRwVLTyYvWFd+ZkvK6tbAC/1/GFbr3Hr2eGt9jHdG6UUBEP3/2ddZ4wM8vW+c1yGkAWosU4QAUFZWBqlUirCwML0LVuVjzJkzB4GBgQD0K1gPHjzgSp5CoaiSs6aCNXHiRN6+3NxcyGQyTJ06FWfPnkVaWhpiY2PBMAx3bG3B0p7RAsqvPXv06BG378aNG4iIiOCuQTty5AiA+hWsTZs28cZoi1DF71tXvqioKLRo0QIAoFQqueu2Kr5vCoUCWVlZ1R63Pqhg8VHB0pNJC1ZpMbCmI1tUzn9Xr9fjvChgy1q4DLj8k2GOWVFZKbD93fIL8h+mG/41CGnAGtNF7tolCD799FO9pwhrKlhpaWlVpgi1+wwxRVi5YJ08eRIMw+Cvv/7i9m3cuLFOBaui4cOH4/333wdQuylCf39/7rGhClZZWRkcHR2xZs0anVmrO259UMHio4KlJ5MWrIRNbFGJbAeUFOoeUxcXvmeP+83/Y0ucoWg0wP7Z7LGXuAC3Lxju2IQ0Eg25YFVcpkEul2PmzJmwsLBAfHw8CgoK0Lx5c4wbNw6pqak4ceIEWrVqVeUi95oKFgAMHToUXbt2xcWLF3HlyhX07dvXYBe5Vy5Yt2/fhpWVFcLDw3Hr1i3s2bMHrVq1qlXBys3Nxdy5c3H69GlkZ2fj1KlTcHd3x+LFiwHoLljai9xXr16NjIwM/PjjjzovcjdEwQKAtWvXwt7eHhs3bkRGRgaSk5MRHR3NfXKRCpZxUcHSk8kKVkkRENmeLSuXoqt+vT5KitjSZuhjn1xdvhyDudz7kBAz05ALVsXlBuzt7dGzZ0/exd36LtNQUeWCpVKpMGzYMNja2sLT0xNbt2412DINlQsWAGzevBkeHh4Qi8Xo378/fvvtt1oVrPz8fIwfPx7u7u4QiURwd3fHvHnzuKUndBUsoHyZBhsbm2qXaTBUwdJ+n506dYJIJIKzszMGDBiAQ4cOVXvc+qCCxUcFS08mK1gXf/j7LFMHw55l0roUXeHsmAF+0Cf+t/w2OIYuhIQ0Ig21YBGiLypYfFSw9GSSglVSCES0+fs6qc26D1BfpcXsFGG4DLiwsX7Hyvgf8JUje6xj4YZIR0ijRQWLNHZUsPioYOnJJAXr/IbyT+AZc+2oyz+xrxPRpu6fUKy4kOhv09jrsAgh1aKCRRo7Klh8VLD0ZPSC9eJ5+eKcV3+pZ9qXKH3BLtcQLmOXb6it3FsVFhIdRQuJEqIHKliksaOCxUcFS09GL1hnv/17tfXO7CKjxnZ169+rxLeq3Srxzx+V375nY1/2VjyEkJeigkUaOypYfFSw9GTUglX8DFjpzZaWpO0GSKuHshL21jnhMvZWOvp48RyIHlA+jflMZdyMhDQi2l8+FVfeJqQxKSwspIJVARUsPRm1YJ2KYEvL+m6muVegVtKO8oVBX3ZLm7JSYPsEWkiUkDoqKSmBXC5HXl6e0FEIMYrHjx9DLpfrvO8jFSxSLaMVrKI8YIUnW1yu7TZQWj2VlQLru7OvfWp19eM0GiDukwoLiV6sfiwhRCeNRoPs7GwoFAoUFBSgqKiINtoaxVZYWMiVq/v3dd8ijQoWqZbRClb8Sra4RPUE1DXf7d0oUvawr7/Cgy17upxcxY75qikgP2DafIQ0Ii9evEBaWhrkcjlttDW67f79+9Xe55IKFqmWUQpW3iNguQdbXlJ/M1DSWlKXARv82AzxK6p+XXsxfLiMvYUPIaRe1Gq14GccaKPN0JuuacGKqGA1IBs2bICXlxdsbW3h5+eHS5cu1Th+9+7daNeuHWxtbeHj48PdKkBfxihYJf9bzBaX73oBle4ib1LXY9kcy92BwvKbn/IWEv3ja+HyEUIIadCoYDUQO3fuhEgkwk8//YQbN24gJCQETZs2xYMHD3SOP3fuHKysrLB69WrI5XIsXLgQNjY2SE1N1fs1DV2wuiyIgWaZG1tebsTV65j1plYD3wX8XaTYG5Xi7hVgaTN2X+x0WkiUEEJInVHBaiD8/Pwwa9Ys7rFarYabmxtWrNAxxQVgwoQJGDZsGG+fv78/pk+frvdrGrpgbQib9PdaUn2EPXulJd/P5lnmBuRcYdfHCpcBW0ebZl0uQgghjRYVrAbgxYsXsLKywt69e3n7J0+ejJEjR+p8joeHR5U7si9atAidO3fW+3UNWbC6LtiB54teZwvMzdpNVRqNRsMuHBouA752ooVECSGEGAwVrAbg3r17YBgG58+f5+3//PPP4efnp/M5NjY22LFjB2/fd999BxcXl2pfp7i4GE+fPuW2O3fugGEY5OTk8PbXdlM9ysWaz8bj6Rf2+GtNAJ7m5dXreAbdrvyKp1/Ys9uKDnh6VyF8Jtpoo4022hr8lpOTA4ZhXql14KhgVSM8PBwMw9BGG2200UYbbQbabt26Vf8i0EA0uIJlqinCymewbt++DYZhcOfOHcH/EqjuL4P6nl17lbKZay7K1viymWsuytb4splrrqdPy2eBnjx5Uv8i0EA0uIIFsBe5h4aGco/VajVatGhR40Xuw4cP5+0LCAgQ5CJ3Y6BstWeuuQDKVlfmms1ccwGUra7MNZu55gLMO5uxNMiCtXPnTtja2uLnn3+GXC7HtGnT0LRpU/z5558AgA8//BBffPEFN/7cuXOwtrZGZGQkbt68ifDwcMGWaTAGylZ75poLoGx1Za7ZzDUXQNnqylyzmWsuwLyzGUuDLFgAEBUVBU9PT4hEIvj5+eHixfL74wUGBiI4OJg3fvfu3Wjbti1EIhE6duwo2EKjxkDZas9ccwGUra7MNZu55gIoW12ZazZzzQWYdzZjabAFy9SKi4sRHh6O4uJioaNUQdlqz1xzAZStrsw1m7nmAihbXZlrNnPNBZh3NmOhgkUIIYQQYmBUsAghhBBCDIwKFiGEEEKIgVHBIoQQQggxMCpYhBBCCCEGRgWrFlasWAGGYTBnzhyhowAA7t69i4kTJ8LJyQlisRg+Pj64fPmy0LFQVlaGhQsXwtvbG2KxGK1atcLixYuh0WhMnuXUqVMYPnw4mjdvDoZhqtwBQKPR4N///jeaNWsGsViMgQMHIiMjQ/BsJSUlmD9/Pnx8fCCRSNC8eXN8+OGHuHfvnuDZKps+fToYhqlytwShcsnlcowYMQIymQwSiQQ9evTA7du3Bc+Wn5+PWbNmoUWLFhCLxejQoQM2btxo9FzLly9Hjx49YGdnh9dffx2jRo1CWloab0xRURFmzpwJJycnSKVSjB07lltXUMhsubm5CA0NRdu2bSEWi+Hh4YFPPvnEJPez0+d909JoNBg6dOhL/62YMtf58+cxYMAASCQS2Nvbo1+/figsLBQ8m0qlwqRJk+Dq6gqJRIKuXbvi119/NWouoVDB0lNCQgK8vb3RuXNnsyhYf/31F7y8vDBlyhRcunQJmZmZOHr0KJRKpdDRsGzZMjg7O+PgwYPIysrCnj17YGdnh3Xr1pk8y+HDhxEWFobY2FidP/xWrlwJBwcH7Nu3D9euXcPIkSPRsmVLFBUVCZotLy8PgwYNwq5du5CWloYLFy7Az88P3bt3N3qul2WrKDY2Fl26dIGbm5tJCtbLcimVSjg5OeHzzz9HYmIilEol4uLi8ODBA8GzhYSE4I033kB8fDyysrLw448/wsrKCnFxcUbNNWTIEGzZsgXXr19HcnIy3n77bXh6euL58+fcmBkzZsDDwwPHjx/HlStX0KtXL/Tu3duoufTJlpqairFjx2L//v1QKpU4fvw42rRpg3HjxgmeraI1a9bgrbfeMknB0ifX+fPnIZPJsGLFCly/fh1paWnYtWuX0ZdI0CdbUFAQevbsiUuXLuHWrVtYsmQJLC0tkZiYaNRsQqCCpYf8/Hy0adMGx44dQ2BgoFkUrAULFqBv375Cx9Bp2LBhmDp1Km/f2LFjMXHiRIESsSr/8NNoNGjWrBkiIiK4fXl5ebC1tUVMTIyg2XRJSEgAwzAmORtTUXXZ7t69ixYtWuD69evw8vIyScF6Wa53330XkyZNMmkOXXRl69ixIxYvXszb161bN4SFhZkyGh4+fAiGYXDq1CkA7P/zNjY22LNnDzfm5s2bYBgGFy5cEDSbLrt374ZIJEJpaakJk1WfLSkpCS1atIBKpTJJwdInl7+/PxYuXGjSHLroyiaVSrF161beOCcnJ2zatMnU8YyOCpYeJk+ejLlz5wKA2RSsDh06YO7cuXjnnXfw+uuvw9fXF9HR0ULHAsCewfLy8kJ6ejoAIDk5GS4uLti2bZuguSr/8Lt16xYYhkFSUhJvXP/+/TF79mxBs+ly7NgxWFhYmHwlZF3Z1Go1BgwYgG+//RYAzKJgqdVq2NnZYfHixRg8eDBef/11+Pn5mfwXnq5sAHsGq0ePHrh79y40Gg1OnDgBOzu7GsuEMSgUCjAMw90q7Pjx4zpvwuvp6Yk1a9YImk2XTZs24bXXXjNhKpaubAUFBejQoQP27dsHQL9/x8bO9eDBAzAMg/Xr1yMgIAAuLi7o378/zpw5Y9JcurIB7BmsYcOGITc3F2q1GjExMZBIJFAoFCbPZ2xUsF4iJiYGPj4+3JSRuRQsW1tb2Nra4ssvv0RiYiJ+/PFHiMVi/Pzzz0JHg1qtxoIFC2BhYQFra2tYWFhg+fLlQseq8sPv3LlzYBgG9+/f540bP348JkyYIGi2yoqKitCtWzd88MEHJkzF0pVt+fLlCAoK4q6rM4eCpT2DIJFIsGbNGiQlJWHFihWwsLDAyZMnBc0GsCtZT548GQzDwNraGiKRCL/88otJc6nVagwbNgx9+vTh9m3fvh0ikajK2J49e2L+/PmCZqvs0aNH8PT0xL/+9S+T5QKqzzZt2jR89NFH3GNTFyxduS5cuACGYeDk5ISffvoJiYmJmDt3LkQikcmuL60uGwA8efIEgwcP5v4dyGQyHD161GS5TIkKVg3u3LkDFxcXXLt2jdtnLgXLxsYGAQEBvH2ffPIJevXqJVCicjExMXB3d0dMTAxSUlKwdetWODk5CV7+GmrBKikpwYgRI9C1a1dB7uNVOduVK1fg6urKu+DeHArWvXv3wDAM3n//fd64ESNG4L333hM0GwBERESgbdu22L9/P65du4aoqCjY2dnh2LFjJss1Y8YMeHl5IScnh9tnLgVLV7aKnj59Cj8/PwwdOhQlJSUmy1Vdtri4OLRu3Rr5+fncPlMXLF25tD/XvvzyS97YTp064YsvvhA0GwCEhobCz88Pf/zxB5KTk/HVV1/BwcEBKSkpJstmKlSwarB3714wDAMrKytuYxgGFhYWsLKyQllZmWDZPD09eX85AcD3338PNzc3gRKVc3d3x4YNG3j7lixZgnbt2gmUiNUQpwhLSkowevRodO7cGY8fPzZpJq3K2dauXcv9G6j478LS0hJeXl6C5Xrx4gWsra2xZMkS3rj58+eb5ILtmrIVFhbCxsYGBw8e5I376KOPMGTIEJNkmjVrFtzd3ZGZmcnbbw5ThNVl03r27BkCAgIwcOBAk3wARZ9sc+bMqfbfQWBgoGC5MjMzwTAM/vvf//L2T5gwwWRnwKvLplQqwTAMrl+/zts/cOBATJ8+3STZTIkKVg2ePXuG1NRU3tajRw9MmjSpxmsETOH999+vcpH73Llzq5zVEoKTkxO+//573r7ly5ejTZs2AiViVXeRe2RkJLfv6dOnZnORu7ZcdezYEQ8fPjRpnooqZ3v8+HGVfxdubm5YsGBBtR9jN0UuAAgICKhykfvo0aOrnNUytsrZnj59CoZhcPjwYd64adOmISgoyKhZNBoNZs2aBTc3N51TRNqL3Ct+VD4tLc0kF7m/LBvAvne9evVCYGAgCgoKjJqnNtlUKlWVfwcMw2DdunXVFkVT5NJoNHBzc6tykbuvr2+Vs1qmzpaSkgKGYSCXy3n7Bw8ejJCQEKNmEwIVrFoylynChIQEWFtbY9myZVAoFNi+fTskEongF5IDQHBwMFq0aMEt0xAbG4vXXnvNpNMNWvn5+UhKSkJSUhIYhuGuzdF+Em/lypVo2rQp4uLikJKSglGjRplsmYaaspWUlGDkyJFwd3dHcnIyVCoVt7148ULQbLqYaorwZbliY2NhY2OD6OhoKBQKREVFwcrKyiQX+L4sW2BgIDp27Ij4+HhkZmZiy5YtEIvFVf4YMbSPP/4YDg4OOHnyJO//o4prIs2YMQOenp44ceIErly5goCAAJP8sfaybE+fPoW/vz86deoEpVLJG2PsGQR93rfKTDFFqE+utWvXQiaTYc+ePVAoFFi4cCHEYrHRl/F5WbaSkhK0bt0a/fr1w6VLl6BUKhEZGQkLCwscOnTIqNmEQAWrlsylYAHAgQMH4OPjA1tbW7Rv395sPkX47NkzzJkzB56entxCo2FhYSYpBpXFx8eDYZgqW3BwMIDyhUZdXV1ha2uLgQMHcp9+FDJbVlaWzq8xDIP4+HhBs+liqoKlT67NmzejdevWEIvF6NKlC/cJL6GzqVQqTJkyBW5ubhCLxWjXrh2++eYboy/AW93/R1u2bOHGaBcadXR0hEQiwZgxY6BSqYyaS59s1b2nDMMgKytL0GzVPcfYBUvfXCtWrIC7uzskEgkCAgJM8keGPtkyMjIwduxYuLi4QCKRoHPnzlWWbWgsqGARQgghhBgYFSxCCCGEEAOjgkUIIYQQYmBUsAghhBBCDIwKFiGEEEKIgVHBIoQQQggxMCpYhBBCCCEGRgWLEEIIIcTAqGARQgRhLov2ahezrHwvPkIIqQ8qWIQQQQhRsHS9JhUsQogxUMEihAiCChYhpDGjgkUIEUTFslNcXIx58+bBzc0NEokEfn5+vHsubtmyBQ4ODjhy5Ajat28PqVSKIUOG4P79+9yY0tJSfPLJJ3BwcICTkxPmz5+PyZMnY9SoUQDYm5Drup+dtmD98ccf6N69O5o0aYKAgACkpaWZ9P0ghDQuVLAIIYKoWLD+8Y9/oHfv3jh9+jSUSiUiIiJga2uLjIwMAGzBsrGxwaBBg3D58mVcvXoVHTp0wAcffMAdb+nSpXByckJsbCxu3ryJGTNmQCaTcQUrLy8PAQEBCAkJgUqlgkqlQllZGVew/P39cfLkSdy4cQP9+vVD7969Tf+mEEIaDSpYhBBBaAvW7du3YWVlhXv37vG+PnDgQHz55ZcA2ILFMAyUSiX39e+++w6urq7cY1dXV0RERHCPy8rK4OnpyRWsiq9ZUcUzWFqHDh0CwzAoKioyzDdLCHnlUMEihAhCW3YOHjwIhmEglUp5m7W1NSZMmACALVgSiYT3/NjYWFhYWABgz04xDINTp07xxowZM0bvgvXw4UNuX2JiIhiGwe3btw36PRNCXh1UsAghgtCWnZ07d8LKygppaWlQKBS8TaVSASi/BquivXv3gmHYH2GGKFgVL3JPSkrirtEihJC6oIJFCBGEtuykp6eDYRicPn262rEvK1gAO0UYGRnJPS4rK4OXlxevYAUFBSE0NJR3HCpYhBBjoIJFCBFExbNJEydOhLe3N3777TdkZmbi0qVLWL58OQ4ePAhAv4K1dOlSODs7Y9++fUhLS8OsWbMgk8kwevRobkxISAh69uyJrKwsPHr0CGq1mgoWIcQoqGARQgRRsWCVlJRg0aJF8Pb2ho23JyCcAAABA0lEQVSNDZo3b44xY8YgJSUFgH4Fq7S0FKGhoZDJZHB0dMSCBQswfvx4vPfee9yY9PR09OrVC02aNKmyTAMVLEKIIVHBIoQ0Smq1Gm3btsXChQuFjkIIeQVRwSKENArZ2dmIjo5Geno6UlJSMG3aNNjY2EAulwsdjRDyCqKCRQhpFO7cuYPevXtDJpPB3t4eAQEBVT5VSAghpkIFixBCCCHEwKhgEUIIIYQYGBUsQgghhBADo4JFCCGEEGJgVLAIIYQQQgyMChYhhBBCiIFRwSKEEEIIMTAqWIQQQgghBkYFixBCCCHEwKhgEUIIIYQYGBUsQgghhBADo4JFCCGEEGJg/wfQtDdl05ipbQAAAABJRU5ErkJggg==\" 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      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "fig, ax = plt.subplots(1,1,figsize=(6,5))\n",
    "ax.set_ylabel('Octet F1 (micro)')\n",
    "labels = {'Bag-of-atoms':'Bag-of-Atoms',\n",
    "         'Bag-of-neighbors':'Bag-of-Neighbors',\n",
    "         'Unigram':'Unigram',\n",
    "         'transformer':'Binary-Transformer',\n",
    "         'transformer bond':'Bond-Transformer'}\n",
    "for key, group in results_length2['f1 micro (octet)'].reset_index().groupby('model_name_short'):\n",
    "    if 'old' in key or 'Octet' in key: continue\n",
    "    group.plot('length','mean',yerr='std', label=labels[key], ax=ax, color=colors[key])\n",
    "\n",
    "ax.set_xticks(np.arange(4,30,2))    \n",
    "ax.set_ylim([0,1.01])\n",
    "plt.savefig('images/octet_f1_micro_vs_length_qm9.pdf')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "window.mpl = {};\n",
       "\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('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",
       "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 = $('<div/>');\n",
       "    this._root_extra_style(this.root)\n",
       "    this.root.attr('style', 'display: inline-block');\n",
       "\n",
       "    $(parent_element).append(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 (mpl.ratio != 1) {\n",
       "                fig.send_message(\"set_dpi_ratio\", {'dpi_ratio': mpl.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 = $(\n",
       "        '<div class=\"ui-dialog-titlebar ui-widget-header ui-corner-all ' +\n",
       "        'ui-helper-clearfix\"/>');\n",
       "    var titletext = $(\n",
       "        '<div class=\"ui-dialog-title\" style=\"width: 100%; ' +\n",
       "        'text-align: center; padding: 3px;\"/>');\n",
       "    titlebar.append(titletext)\n",
       "    this.root.append(titlebar);\n",
       "    this.header = titletext[0];\n",
       "}\n",
       "\n",
       "\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = $('<div/>');\n",
       "\n",
       "    canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n",
       "\n",
       "    function canvas_keyboard_event(event) {\n",
       "        return fig.key_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    canvas_div.keydown('key_press', canvas_keyboard_event);\n",
       "    canvas_div.keyup('key_release', canvas_keyboard_event);\n",
       "    this.canvas_div = canvas_div\n",
       "    this._canvas_extra_style(canvas_div)\n",
       "    this.root.append(canvas_div);\n",
       "\n",
       "    var canvas = $('<canvas/>');\n",
       "    canvas.addClass('mpl-canvas');\n",
       "    canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n",
       "\n",
       "    this.canvas = canvas[0];\n",
       "    this.context = canvas[0].getContext(\"2d\");\n",
       "\n",
       "    var backingStore = this.context.backingStorePixelRatio ||\n",
       "\tthis.context.webkitBackingStorePixelRatio ||\n",
       "\tthis.context.mozBackingStorePixelRatio ||\n",
       "\tthis.context.msBackingStorePixelRatio ||\n",
       "\tthis.context.oBackingStorePixelRatio ||\n",
       "\tthis.context.backingStorePixelRatio || 1;\n",
       "\n",
       "    mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband = $('<canvas/>');\n",
       "    rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n",
       "\n",
       "    var pass_mouse_events = true;\n",
       "\n",
       "    canvas_div.resizable({\n",
       "        start: function(event, ui) {\n",
       "            pass_mouse_events = false;\n",
       "        },\n",
       "        resize: function(event, ui) {\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "        stop: function(event, ui) {\n",
       "            pass_mouse_events = true;\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "    });\n",
       "\n",
       "    function mouse_event_fn(event) {\n",
       "        if (pass_mouse_events)\n",
       "            return fig.mouse_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    rubberband.mousedown('button_press', mouse_event_fn);\n",
       "    rubberband.mouseup('button_release', mouse_event_fn);\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband.mousemove('motion_notify', mouse_event_fn);\n",
       "\n",
       "    rubberband.mouseenter('figure_enter', mouse_event_fn);\n",
       "    rubberband.mouseleave('figure_leave', mouse_event_fn);\n",
       "\n",
       "    canvas_div.on(\"wheel\", function (event) {\n",
       "        event = event.originalEvent;\n",
       "        event['data'] = 'scroll'\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        mouse_event_fn(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.append(canvas);\n",
       "    canvas_div.append(rubberband);\n",
       "\n",
       "    this.rubberband = rubberband;\n",
       "    this.rubberband_canvas = rubberband[0];\n",
       "    this.rubberband_context = rubberband[0].getContext(\"2d\");\n",
       "    this.rubberband_context.strokeStyle = \"#000000\";\n",
       "\n",
       "    this._resize_canvas = function(width, height) {\n",
       "        // Keep the size of the canvas, canvas container, and rubber band\n",
       "        // canvas in synch.\n",
       "        canvas_div.css('width', width)\n",
       "        canvas_div.css('height', height)\n",
       "\n",
       "        canvas.attr('width', width * mpl.ratio);\n",
       "        canvas.attr('height', height * mpl.ratio);\n",
       "        canvas.attr('style', 'width: ' + width + 'px; height: ' + height + 'px;');\n",
       "\n",
       "        rubberband.attr('width', width);\n",
       "        rubberband.attr('height', height);\n",
       "    }\n",
       "\n",
       "    // Set the figure to an initial 600x600px, this will subsequently be updated\n",
       "    // upon first draw.\n",
       "    this._resize_canvas(600, 600);\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\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 nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\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",
       "            // put a spacer in here.\n",
       "            continue;\n",
       "        }\n",
       "        var button = $('<button/>');\n",
       "        button.addClass('ui-button ui-widget ui-state-default ui-corner-all ' +\n",
       "                        'ui-button-icon-only');\n",
       "        button.attr('role', 'button');\n",
       "        button.attr('aria-disabled', 'false');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "\n",
       "        var icon_img = $('<span/>');\n",
       "        icon_img.addClass('ui-button-icon-primary ui-icon');\n",
       "        icon_img.addClass(image);\n",
       "        icon_img.addClass('ui-corner-all');\n",
       "\n",
       "        var tooltip_span = $('<span/>');\n",
       "        tooltip_span.addClass('ui-button-text');\n",
       "        tooltip_span.html(tooltip);\n",
       "\n",
       "        button.append(icon_img);\n",
       "        button.append(tooltip_span);\n",
       "\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    var fmt_picker_span = $('<span/>');\n",
       "\n",
       "    var fmt_picker = $('<select/>');\n",
       "    fmt_picker.addClass('mpl-toolbar-option ui-widget ui-widget-content');\n",
       "    fmt_picker_span.append(fmt_picker);\n",
       "    nav_element.append(fmt_picker_span);\n",
       "    this.format_dropdown = fmt_picker[0];\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = $(\n",
       "            '<option/>', {selected: fmt === mpl.default_extension}).html(fmt);\n",
       "        fmt_picker.append(option);\n",
       "    }\n",
       "\n",
       "    // Add hover states to the ui-buttons\n",
       "    $( \".ui-button\" ).hover(\n",
       "        function() { $(this).addClass(\"ui-state-hover\");},\n",
       "        function() { $(this).removeClass(\"ui-state-hover\");}\n",
       "    );\n",
       "\n",
       "    var status_bar = $('<span class=\"mpl-message\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\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",
       "\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",
       "\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]);\n",
       "        fig.send_message(\"refresh\", {});\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function(fig, msg) {\n",
       "    var x0 = msg['x0'] / mpl.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / mpl.ratio;\n",
       "    var x1 = msg['x1'] / mpl.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / mpl.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, 0, fig.canvas.width / mpl.ratio, fig.canvas.height / mpl.ratio);\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",
       "    {\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.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",
       "            /* 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",
       "            evt.data.type = \"image/png\";\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",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                evt.data);\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "        else if (typeof evt.data === 'string' && evt.data.slice(0, 21) == \"data:image/png;base64\") {\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(\"No handler for the '\" + msg_type + \"' message type: \", msg);\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(\"Exception inside the 'handler_\" + msg_type + \"' callback:\", e, e.stack, msg);\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",
       "    if (e.target)\n",
       "        targ = e.target;\n",
       "    else if (e.srcElement)\n",
       "        targ = e.srcElement;\n",
       "    if (targ.nodeType == 3) // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "\n",
       "    // jQuery normalizes the pageX and pageY\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    // offset() returns the position of the element relative to the document\n",
       "    var x = e.pageX - $(targ).offset().left;\n",
       "    var y = e.pageY - $(targ).offset().top;\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",
       "    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",
       "    {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * mpl.ratio;\n",
       "    var y = canvas_pos.y * mpl.ratio;\n",
       "\n",
       "    this.send_message(name, {x: x, y: y, button: event.button,\n",
       "                             step: event.step,\n",
       "                             guiEvent: simpleKeys(event)});\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",
       "\n",
       "    // Prevent repeat events\n",
       "    if (name == 'key_press')\n",
       "    {\n",
       "        if (event.which === this._key)\n",
       "            return;\n",
       "        else\n",
       "            this._key = event.which;\n",
       "    }\n",
       "    if (name == 'key_release')\n",
       "        this._key = null;\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.which != 17)\n",
       "        value += \"ctrl+\";\n",
       "    if (event.altKey && event.which != 18)\n",
       "        value += \"alt+\";\n",
       "    if (event.shiftKey && event.which != 16)\n",
       "        value += \"shift+\";\n",
       "\n",
       "    value += 'k';\n",
       "    value += event.which.toString();\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, {key: value,\n",
       "                             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",
       "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\", \"Pan axes with left mouse, zoom with right\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";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.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",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(msg['content']['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 = $(\"#\" + id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm)\n",
       "\n",
       "    function ondownload(figure, format) {\n",
       "        window.open(figure.imageObj.src);\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy,\n",
       "                           ondownload,\n",
       "                           element.get(0));\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.get(0);\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",
       "\n",
       "    var output_index = fig.cell_info[2]\n",
       "    var cell = fig.cell_info[0];\n",
       "\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function(fig, msg) {\n",
       "    var width = fig.canvas.width/mpl.ratio\n",
       "    fig.root.unbind('remove')\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).html('<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/mpl.ratio\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] = '<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 () { fig.push_to_output() }, 1000);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\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) { continue; };\n",
       "\n",
       "        var button = $('<button class=\"btn btn-default\" href=\"#\" title=\"' + name + '\"><i class=\"fa ' + image + ' fa-lg\"></i></button>');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = $('<span class=\"mpl-message\" style=\"text-align:right; float: right;\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = $('<div class=\"btn-group inline pull-right\"></div>');\n",
       "    var button = $('<button class=\"btn btn-mini btn-primary\" href=\"#\" title=\"Stop Interaction\"><i class=\"fa fa-power-off icon-remove icon-large\"></i></button>');\n",
       "    button.click(function (evt) { fig.handle_close(fig, {}); } );\n",
       "    button.mouseover('Stop Interaction', toolbar_mouse_event);\n",
       "    buttongrp.append(button);\n",
       "    var titlebar = this.root.find($('.ui-dialog-titlebar'));\n",
       "    titlebar.prepend(buttongrp);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(el){\n",
       "    var fig = this\n",
       "    el.on(\"remove\", function(){\n",
       "\tfig.close_ws(fig, {});\n",
       "    });\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(el){\n",
       "    // this is important to make the div 'focusable\n",
       "    el.attr('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",
       "    }\n",
       "    else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\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",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which == 13) {\n",
       "        this.canvas_div.blur();\n",
       "        event.shiftKey = false;\n",
       "        // Send a \"J\" for go to next cell\n",
       "        event.which = 74;\n",
       "        event.keyCode = 74;\n",
       "        manager.command_mode();\n",
       "        manager.handle_keydown(event);\n",
       "    }\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "}\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('matplotlib', mpl.mpl_figure_comm);\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
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     "output_type": "display_data"
    },
    {
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\" width=\"600\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "fig, ax = plt.subplots(1,1,figsize=(6,5))\n",
    "ax.set_ylabel('Octet F1 (macro)')\n",
    "\n",
    "for key, group in results_length2['f1 macro (octet)'].reset_index().groupby('model_name_short'):\n",
    "    if 'old' in key or 'Octet' in key: continue\n",
    "    group.plot('length','mean',yerr='std', label=labels[key], ax=ax, color=colors[key])\n",
    "\n",
    "ax.set_xticks(np.arange(4,30,2))    \n",
    "ax.set_ylim([0,1.01])\n",
    "plt.savefig('images/octet_f1_macro_vs_length_qm9.pdf')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "window.mpl = {};\n",
       "\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('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",
       "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 = $('<div/>');\n",
       "    this._root_extra_style(this.root)\n",
       "    this.root.attr('style', 'display: inline-block');\n",
       "\n",
       "    $(parent_element).append(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 (mpl.ratio != 1) {\n",
       "                fig.send_message(\"set_dpi_ratio\", {'dpi_ratio': mpl.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 = $(\n",
       "        '<div class=\"ui-dialog-titlebar ui-widget-header ui-corner-all ' +\n",
       "        'ui-helper-clearfix\"/>');\n",
       "    var titletext = $(\n",
       "        '<div class=\"ui-dialog-title\" style=\"width: 100%; ' +\n",
       "        'text-align: center; padding: 3px;\"/>');\n",
       "    titlebar.append(titletext)\n",
       "    this.root.append(titlebar);\n",
       "    this.header = titletext[0];\n",
       "}\n",
       "\n",
       "\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = $('<div/>');\n",
       "\n",
       "    canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n",
       "\n",
       "    function canvas_keyboard_event(event) {\n",
       "        return fig.key_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    canvas_div.keydown('key_press', canvas_keyboard_event);\n",
       "    canvas_div.keyup('key_release', canvas_keyboard_event);\n",
       "    this.canvas_div = canvas_div\n",
       "    this._canvas_extra_style(canvas_div)\n",
       "    this.root.append(canvas_div);\n",
       "\n",
       "    var canvas = $('<canvas/>');\n",
       "    canvas.addClass('mpl-canvas');\n",
       "    canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n",
       "\n",
       "    this.canvas = canvas[0];\n",
       "    this.context = canvas[0].getContext(\"2d\");\n",
       "\n",
       "    var backingStore = this.context.backingStorePixelRatio ||\n",
       "\tthis.context.webkitBackingStorePixelRatio ||\n",
       "\tthis.context.mozBackingStorePixelRatio ||\n",
       "\tthis.context.msBackingStorePixelRatio ||\n",
       "\tthis.context.oBackingStorePixelRatio ||\n",
       "\tthis.context.backingStorePixelRatio || 1;\n",
       "\n",
       "    mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband = $('<canvas/>');\n",
       "    rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n",
       "\n",
       "    var pass_mouse_events = true;\n",
       "\n",
       "    canvas_div.resizable({\n",
       "        start: function(event, ui) {\n",
       "            pass_mouse_events = false;\n",
       "        },\n",
       "        resize: function(event, ui) {\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "        stop: function(event, ui) {\n",
       "            pass_mouse_events = true;\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "    });\n",
       "\n",
       "    function mouse_event_fn(event) {\n",
       "        if (pass_mouse_events)\n",
       "            return fig.mouse_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    rubberband.mousedown('button_press', mouse_event_fn);\n",
       "    rubberband.mouseup('button_release', mouse_event_fn);\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband.mousemove('motion_notify', mouse_event_fn);\n",
       "\n",
       "    rubberband.mouseenter('figure_enter', mouse_event_fn);\n",
       "    rubberband.mouseleave('figure_leave', mouse_event_fn);\n",
       "\n",
       "    canvas_div.on(\"wheel\", function (event) {\n",
       "        event = event.originalEvent;\n",
       "        event['data'] = 'scroll'\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        mouse_event_fn(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.append(canvas);\n",
       "    canvas_div.append(rubberband);\n",
       "\n",
       "    this.rubberband = rubberband;\n",
       "    this.rubberband_canvas = rubberband[0];\n",
       "    this.rubberband_context = rubberband[0].getContext(\"2d\");\n",
       "    this.rubberband_context.strokeStyle = \"#000000\";\n",
       "\n",
       "    this._resize_canvas = function(width, height) {\n",
       "        // Keep the size of the canvas, canvas container, and rubber band\n",
       "        // canvas in synch.\n",
       "        canvas_div.css('width', width)\n",
       "        canvas_div.css('height', height)\n",
       "\n",
       "        canvas.attr('width', width * mpl.ratio);\n",
       "        canvas.attr('height', height * mpl.ratio);\n",
       "        canvas.attr('style', 'width: ' + width + 'px; height: ' + height + 'px;');\n",
       "\n",
       "        rubberband.attr('width', width);\n",
       "        rubberband.attr('height', height);\n",
       "    }\n",
       "\n",
       "    // Set the figure to an initial 600x600px, this will subsequently be updated\n",
       "    // upon first draw.\n",
       "    this._resize_canvas(600, 600);\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\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 nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\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",
       "            // put a spacer in here.\n",
       "            continue;\n",
       "        }\n",
       "        var button = $('<button/>');\n",
       "        button.addClass('ui-button ui-widget ui-state-default ui-corner-all ' +\n",
       "                        'ui-button-icon-only');\n",
       "        button.attr('role', 'button');\n",
       "        button.attr('aria-disabled', 'false');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "\n",
       "        var icon_img = $('<span/>');\n",
       "        icon_img.addClass('ui-button-icon-primary ui-icon');\n",
       "        icon_img.addClass(image);\n",
       "        icon_img.addClass('ui-corner-all');\n",
       "\n",
       "        var tooltip_span = $('<span/>');\n",
       "        tooltip_span.addClass('ui-button-text');\n",
       "        tooltip_span.html(tooltip);\n",
       "\n",
       "        button.append(icon_img);\n",
       "        button.append(tooltip_span);\n",
       "\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    var fmt_picker_span = $('<span/>');\n",
       "\n",
       "    var fmt_picker = $('<select/>');\n",
       "    fmt_picker.addClass('mpl-toolbar-option ui-widget ui-widget-content');\n",
       "    fmt_picker_span.append(fmt_picker);\n",
       "    nav_element.append(fmt_picker_span);\n",
       "    this.format_dropdown = fmt_picker[0];\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = $(\n",
       "            '<option/>', {selected: fmt === mpl.default_extension}).html(fmt);\n",
       "        fmt_picker.append(option);\n",
       "    }\n",
       "\n",
       "    // Add hover states to the ui-buttons\n",
       "    $( \".ui-button\" ).hover(\n",
       "        function() { $(this).addClass(\"ui-state-hover\");},\n",
       "        function() { $(this).removeClass(\"ui-state-hover\");}\n",
       "    );\n",
       "\n",
       "    var status_bar = $('<span class=\"mpl-message\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\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",
       "\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",
       "\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]);\n",
       "        fig.send_message(\"refresh\", {});\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function(fig, msg) {\n",
       "    var x0 = msg['x0'] / mpl.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / mpl.ratio;\n",
       "    var x1 = msg['x1'] / mpl.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / mpl.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, 0, fig.canvas.width / mpl.ratio, fig.canvas.height / mpl.ratio);\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",
       "    {\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.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",
       "            /* 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",
       "            evt.data.type = \"image/png\";\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",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                evt.data);\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "        else if (typeof evt.data === 'string' && evt.data.slice(0, 21) == \"data:image/png;base64\") {\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(\"No handler for the '\" + msg_type + \"' message type: \", msg);\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(\"Exception inside the 'handler_\" + msg_type + \"' callback:\", e, e.stack, msg);\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",
       "    if (e.target)\n",
       "        targ = e.target;\n",
       "    else if (e.srcElement)\n",
       "        targ = e.srcElement;\n",
       "    if (targ.nodeType == 3) // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "\n",
       "    // jQuery normalizes the pageX and pageY\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    // offset() returns the position of the element relative to the document\n",
       "    var x = e.pageX - $(targ).offset().left;\n",
       "    var y = e.pageY - $(targ).offset().top;\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",
       "    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",
       "    {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * mpl.ratio;\n",
       "    var y = canvas_pos.y * mpl.ratio;\n",
       "\n",
       "    this.send_message(name, {x: x, y: y, button: event.button,\n",
       "                             step: event.step,\n",
       "                             guiEvent: simpleKeys(event)});\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",
       "\n",
       "    // Prevent repeat events\n",
       "    if (name == 'key_press')\n",
       "    {\n",
       "        if (event.which === this._key)\n",
       "            return;\n",
       "        else\n",
       "            this._key = event.which;\n",
       "    }\n",
       "    if (name == 'key_release')\n",
       "        this._key = null;\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.which != 17)\n",
       "        value += \"ctrl+\";\n",
       "    if (event.altKey && event.which != 18)\n",
       "        value += \"alt+\";\n",
       "    if (event.shiftKey && event.which != 16)\n",
       "        value += \"shift+\";\n",
       "\n",
       "    value += 'k';\n",
       "    value += event.which.toString();\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, {key: value,\n",
       "                             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",
       "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\", \"Pan axes with left mouse, zoom with right\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";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.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",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(msg['content']['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 = $(\"#\" + id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm)\n",
       "\n",
       "    function ondownload(figure, format) {\n",
       "        window.open(figure.imageObj.src);\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy,\n",
       "                           ondownload,\n",
       "                           element.get(0));\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.get(0);\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",
       "\n",
       "    var output_index = fig.cell_info[2]\n",
       "    var cell = fig.cell_info[0];\n",
       "\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function(fig, msg) {\n",
       "    var width = fig.canvas.width/mpl.ratio\n",
       "    fig.root.unbind('remove')\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).html('<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/mpl.ratio\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] = '<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 () { fig.push_to_output() }, 1000);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\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) { continue; };\n",
       "\n",
       "        var button = $('<button class=\"btn btn-default\" href=\"#\" title=\"' + name + '\"><i class=\"fa ' + image + ' fa-lg\"></i></button>');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = $('<span class=\"mpl-message\" style=\"text-align:right; float: right;\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = $('<div class=\"btn-group inline pull-right\"></div>');\n",
       "    var button = $('<button class=\"btn btn-mini btn-primary\" href=\"#\" title=\"Stop Interaction\"><i class=\"fa fa-power-off icon-remove icon-large\"></i></button>');\n",
       "    button.click(function (evt) { fig.handle_close(fig, {}); } );\n",
       "    button.mouseover('Stop Interaction', toolbar_mouse_event);\n",
       "    buttongrp.append(button);\n",
       "    var titlebar = this.root.find($('.ui-dialog-titlebar'));\n",
       "    titlebar.prepend(buttongrp);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(el){\n",
       "    var fig = this\n",
       "    el.on(\"remove\", function(){\n",
       "\tfig.close_ws(fig, {});\n",
       "    });\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(el){\n",
       "    // this is important to make the div 'focusable\n",
       "    el.attr('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",
       "    }\n",
       "    else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\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",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which == 13) {\n",
       "        this.canvas_div.blur();\n",
       "        event.shiftKey = false;\n",
       "        // Send a \"J\" for go to next cell\n",
       "        event.which = 74;\n",
       "        event.keyCode = 74;\n",
       "        manager.command_mode();\n",
       "        manager.handle_keydown(event);\n",
       "    }\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "}\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('matplotlib', mpl.mpl_figure_comm);\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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\" width=\"600\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "fig, ax = plt.subplots(1,1,figsize=(6,5))\n",
    "ax.set_ylabel('F1 (macro)')\n",
    "\n",
    "for key, group in results_length2['f1 macro'].reset_index().groupby('model_name_short'):\n",
    "    if 'old' in key or 'Octet' in key: continue\n",
    "    group.plot('length','mean',yerr='std', label=labels[key], ax=ax, color=colors[key])\n",
    "\n",
    "ax.set_xticks(np.arange(4,30,2))    \n",
    "ax.set_ylim([0,1.01])\n",
    "plt.savefig('images/sample_f1_macro_vs_length_qm9.pdf')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "window.mpl = {};\n",
       "\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('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",
       "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 = $('<div/>');\n",
       "    this._root_extra_style(this.root)\n",
       "    this.root.attr('style', 'display: inline-block');\n",
       "\n",
       "    $(parent_element).append(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 (mpl.ratio != 1) {\n",
       "                fig.send_message(\"set_dpi_ratio\", {'dpi_ratio': mpl.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 = $(\n",
       "        '<div class=\"ui-dialog-titlebar ui-widget-header ui-corner-all ' +\n",
       "        'ui-helper-clearfix\"/>');\n",
       "    var titletext = $(\n",
       "        '<div class=\"ui-dialog-title\" style=\"width: 100%; ' +\n",
       "        'text-align: center; padding: 3px;\"/>');\n",
       "    titlebar.append(titletext)\n",
       "    this.root.append(titlebar);\n",
       "    this.header = titletext[0];\n",
       "}\n",
       "\n",
       "\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = $('<div/>');\n",
       "\n",
       "    canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n",
       "\n",
       "    function canvas_keyboard_event(event) {\n",
       "        return fig.key_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    canvas_div.keydown('key_press', canvas_keyboard_event);\n",
       "    canvas_div.keyup('key_release', canvas_keyboard_event);\n",
       "    this.canvas_div = canvas_div\n",
       "    this._canvas_extra_style(canvas_div)\n",
       "    this.root.append(canvas_div);\n",
       "\n",
       "    var canvas = $('<canvas/>');\n",
       "    canvas.addClass('mpl-canvas');\n",
       "    canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n",
       "\n",
       "    this.canvas = canvas[0];\n",
       "    this.context = canvas[0].getContext(\"2d\");\n",
       "\n",
       "    var backingStore = this.context.backingStorePixelRatio ||\n",
       "\tthis.context.webkitBackingStorePixelRatio ||\n",
       "\tthis.context.mozBackingStorePixelRatio ||\n",
       "\tthis.context.msBackingStorePixelRatio ||\n",
       "\tthis.context.oBackingStorePixelRatio ||\n",
       "\tthis.context.backingStorePixelRatio || 1;\n",
       "\n",
       "    mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband = $('<canvas/>');\n",
       "    rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n",
       "\n",
       "    var pass_mouse_events = true;\n",
       "\n",
       "    canvas_div.resizable({\n",
       "        start: function(event, ui) {\n",
       "            pass_mouse_events = false;\n",
       "        },\n",
       "        resize: function(event, ui) {\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "        stop: function(event, ui) {\n",
       "            pass_mouse_events = true;\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "    });\n",
       "\n",
       "    function mouse_event_fn(event) {\n",
       "        if (pass_mouse_events)\n",
       "            return fig.mouse_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    rubberband.mousedown('button_press', mouse_event_fn);\n",
       "    rubberband.mouseup('button_release', mouse_event_fn);\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband.mousemove('motion_notify', mouse_event_fn);\n",
       "\n",
       "    rubberband.mouseenter('figure_enter', mouse_event_fn);\n",
       "    rubberband.mouseleave('figure_leave', mouse_event_fn);\n",
       "\n",
       "    canvas_div.on(\"wheel\", function (event) {\n",
       "        event = event.originalEvent;\n",
       "        event['data'] = 'scroll'\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        mouse_event_fn(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.append(canvas);\n",
       "    canvas_div.append(rubberband);\n",
       "\n",
       "    this.rubberband = rubberband;\n",
       "    this.rubberband_canvas = rubberband[0];\n",
       "    this.rubberband_context = rubberband[0].getContext(\"2d\");\n",
       "    this.rubberband_context.strokeStyle = \"#000000\";\n",
       "\n",
       "    this._resize_canvas = function(width, height) {\n",
       "        // Keep the size of the canvas, canvas container, and rubber band\n",
       "        // canvas in synch.\n",
       "        canvas_div.css('width', width)\n",
       "        canvas_div.css('height', height)\n",
       "\n",
       "        canvas.attr('width', width * mpl.ratio);\n",
       "        canvas.attr('height', height * mpl.ratio);\n",
       "        canvas.attr('style', 'width: ' + width + 'px; height: ' + height + 'px;');\n",
       "\n",
       "        rubberband.attr('width', width);\n",
       "        rubberband.attr('height', height);\n",
       "    }\n",
       "\n",
       "    // Set the figure to an initial 600x600px, this will subsequently be updated\n",
       "    // upon first draw.\n",
       "    this._resize_canvas(600, 600);\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\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 nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\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",
       "            // put a spacer in here.\n",
       "            continue;\n",
       "        }\n",
       "        var button = $('<button/>');\n",
       "        button.addClass('ui-button ui-widget ui-state-default ui-corner-all ' +\n",
       "                        'ui-button-icon-only');\n",
       "        button.attr('role', 'button');\n",
       "        button.attr('aria-disabled', 'false');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "\n",
       "        var icon_img = $('<span/>');\n",
       "        icon_img.addClass('ui-button-icon-primary ui-icon');\n",
       "        icon_img.addClass(image);\n",
       "        icon_img.addClass('ui-corner-all');\n",
       "\n",
       "        var tooltip_span = $('<span/>');\n",
       "        tooltip_span.addClass('ui-button-text');\n",
       "        tooltip_span.html(tooltip);\n",
       "\n",
       "        button.append(icon_img);\n",
       "        button.append(tooltip_span);\n",
       "\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    var fmt_picker_span = $('<span/>');\n",
       "\n",
       "    var fmt_picker = $('<select/>');\n",
       "    fmt_picker.addClass('mpl-toolbar-option ui-widget ui-widget-content');\n",
       "    fmt_picker_span.append(fmt_picker);\n",
       "    nav_element.append(fmt_picker_span);\n",
       "    this.format_dropdown = fmt_picker[0];\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = $(\n",
       "            '<option/>', {selected: fmt === mpl.default_extension}).html(fmt);\n",
       "        fmt_picker.append(option);\n",
       "    }\n",
       "\n",
       "    // Add hover states to the ui-buttons\n",
       "    $( \".ui-button\" ).hover(\n",
       "        function() { $(this).addClass(\"ui-state-hover\");},\n",
       "        function() { $(this).removeClass(\"ui-state-hover\");}\n",
       "    );\n",
       "\n",
       "    var status_bar = $('<span class=\"mpl-message\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\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",
       "\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",
       "\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]);\n",
       "        fig.send_message(\"refresh\", {});\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function(fig, msg) {\n",
       "    var x0 = msg['x0'] / mpl.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / mpl.ratio;\n",
       "    var x1 = msg['x1'] / mpl.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / mpl.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, 0, fig.canvas.width / mpl.ratio, fig.canvas.height / mpl.ratio);\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",
       "    {\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.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",
       "            /* 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",
       "            evt.data.type = \"image/png\";\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",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                evt.data);\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "        else if (typeof evt.data === 'string' && evt.data.slice(0, 21) == \"data:image/png;base64\") {\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(\"No handler for the '\" + msg_type + \"' message type: \", msg);\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(\"Exception inside the 'handler_\" + msg_type + \"' callback:\", e, e.stack, msg);\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",
       "    if (e.target)\n",
       "        targ = e.target;\n",
       "    else if (e.srcElement)\n",
       "        targ = e.srcElement;\n",
       "    if (targ.nodeType == 3) // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "\n",
       "    // jQuery normalizes the pageX and pageY\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    // offset() returns the position of the element relative to the document\n",
       "    var x = e.pageX - $(targ).offset().left;\n",
       "    var y = e.pageY - $(targ).offset().top;\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",
       "    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",
       "    {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * mpl.ratio;\n",
       "    var y = canvas_pos.y * mpl.ratio;\n",
       "\n",
       "    this.send_message(name, {x: x, y: y, button: event.button,\n",
       "                             step: event.step,\n",
       "                             guiEvent: simpleKeys(event)});\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",
       "\n",
       "    // Prevent repeat events\n",
       "    if (name == 'key_press')\n",
       "    {\n",
       "        if (event.which === this._key)\n",
       "            return;\n",
       "        else\n",
       "            this._key = event.which;\n",
       "    }\n",
       "    if (name == 'key_release')\n",
       "        this._key = null;\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.which != 17)\n",
       "        value += \"ctrl+\";\n",
       "    if (event.altKey && event.which != 18)\n",
       "        value += \"alt+\";\n",
       "    if (event.shiftKey && event.which != 16)\n",
       "        value += \"shift+\";\n",
       "\n",
       "    value += 'k';\n",
       "    value += event.which.toString();\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, {key: value,\n",
       "                             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",
       "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\", \"Pan axes with left mouse, zoom with right\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";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.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",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(msg['content']['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 = $(\"#\" + id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm)\n",
       "\n",
       "    function ondownload(figure, format) {\n",
       "        window.open(figure.imageObj.src);\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy,\n",
       "                           ondownload,\n",
       "                           element.get(0));\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.get(0);\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",
       "\n",
       "    var output_index = fig.cell_info[2]\n",
       "    var cell = fig.cell_info[0];\n",
       "\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function(fig, msg) {\n",
       "    var width = fig.canvas.width/mpl.ratio\n",
       "    fig.root.unbind('remove')\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).html('<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/mpl.ratio\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] = '<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 () { fig.push_to_output() }, 1000);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\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) { continue; };\n",
       "\n",
       "        var button = $('<button class=\"btn btn-default\" href=\"#\" title=\"' + name + '\"><i class=\"fa ' + image + ' fa-lg\"></i></button>');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = $('<span class=\"mpl-message\" style=\"text-align:right; float: right;\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = $('<div class=\"btn-group inline pull-right\"></div>');\n",
       "    var button = $('<button class=\"btn btn-mini btn-primary\" href=\"#\" title=\"Stop Interaction\"><i class=\"fa fa-power-off icon-remove icon-large\"></i></button>');\n",
       "    button.click(function (evt) { fig.handle_close(fig, {}); } );\n",
       "    button.mouseover('Stop Interaction', toolbar_mouse_event);\n",
       "    buttongrp.append(button);\n",
       "    var titlebar = this.root.find($('.ui-dialog-titlebar'));\n",
       "    titlebar.prepend(buttongrp);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(el){\n",
       "    var fig = this\n",
       "    el.on(\"remove\", function(){\n",
       "\tfig.close_ws(fig, {});\n",
       "    });\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(el){\n",
       "    // this is important to make the div 'focusable\n",
       "    el.attr('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",
       "    }\n",
       "    else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\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",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which == 13) {\n",
       "        this.canvas_div.blur();\n",
       "        event.shiftKey = false;\n",
       "        // Send a \"J\" for go to next cell\n",
       "        event.which = 74;\n",
       "        event.keyCode = 74;\n",
       "        manager.command_mode();\n",
       "        manager.handle_keydown(event);\n",
       "    }\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "}\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('matplotlib', mpl.mpl_figure_comm);\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
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\" width=\"600\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "fig, ax = plt.subplots(1,1,figsize=(6,5))\n",
    "ax.set_ylabel('F1 (micro)')\n",
    "\n",
    "for key, group in results_length2['f1 micro'].reset_index().groupby('model_name_short'):\n",
    "    if 'old' in key or 'Octet' in key: continue\n",
    "    group.plot('length','mean',yerr='std', label=labels[key], ax=ax, color=colors[key])\n",
    "\n",
    "ax.set_xticks(np.arange(4,30,2))    \n",
    "ax.set_ylim([0,1.01])\n",
    "plt.savefig('images/sample_f1_micro_vs_length_qm9.pdf')"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}