Supervised_Learning.ipynb

{
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  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "id": "iypIAVquoDws"
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "import seaborn as sb\n",
    "import matplotlib.pyplot as plt\n",
    "import math as math\n",
    "import sklearn as sklearn\n",
    "import random as random\n",
    "from sklearn.preprocessing import StandardScaler\n",
    "from sklearn.model_selection import train_test_split\n",
    "from sklearn.neighbors import KNeighborsClassifier\n",
    "from sklearn import metrics\n",
    "from sklearn.model_selection import LeaveOneOut\n",
    "%matplotlib notebook\n",
    "import seaborn as sns"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "ieiIXrrwoDws"
   },
   "source": [
    "________\n",
    "## <font color = dimgrey> Data import </font> \n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "#data_path = \"https://raw.githubusercontent.com/vajnie/DADK_2021/main/shipdata_2021.csv\""
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "id": "_Swh8BxGoDwu",
    "outputId": "ea60da51-725b-443b-faad-2865fb9fc6db"
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   "outputs": [
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       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>MMSI</th>\n",
       "      <th>Speed</th>\n",
       "      <th>COG</th>\n",
       "      <th>Destination</th>\n",
       "      <th>Ship_type</th>\n",
       "      <th>Gross_tonnage</th>\n",
       "      <th>Length</th>\n",
       "      <th>Breadth</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>212209000</td>\n",
       "      <td>10.1377</td>\n",
       "      <td>64.3074</td>\n",
       "      <td>Hamina</td>\n",
       "      <td>Cargo</td>\n",
       "      <td>3416</td>\n",
       "      <td>94.91</td>\n",
       "      <td>15.34</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>212436000</td>\n",
       "      <td>13.5256</td>\n",
       "      <td>77.0755</td>\n",
       "      <td>Hamina</td>\n",
       "      <td>Tanker</td>\n",
       "      <td>6280</td>\n",
       "      <td>116.90</td>\n",
       "      <td>18.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>219082000</td>\n",
       "      <td>9.9416</td>\n",
       "      <td>74.6762</td>\n",
       "      <td>Hamina</td>\n",
       "      <td>Tanker</td>\n",
       "      <td>9980</td>\n",
       "      <td>141.20</td>\n",
       "      <td>21.90</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>219083000</td>\n",
       "      <td>11.6038</td>\n",
       "      <td>74.7529</td>\n",
       "      <td>Hamina</td>\n",
       "      <td>Tanker</td>\n",
       "      <td>9980</td>\n",
       "      <td>141.20</td>\n",
       "      <td>21.60</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>219426000</td>\n",
       "      <td>11.9203</td>\n",
       "      <td>56.3253</td>\n",
       "      <td>Hamina</td>\n",
       "      <td>Tanker</td>\n",
       "      <td>3219</td>\n",
       "      <td>99.90</td>\n",
       "      <td>15.00</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "        MMSI    Speed      COG Destination Ship_type  Gross_tonnage  Length  \\\n",
       "0  212209000  10.1377  64.3074      Hamina     Cargo           3416   94.91   \n",
       "1  212436000  13.5256  77.0755      Hamina    Tanker           6280  116.90   \n",
       "2  219082000   9.9416  74.6762      Hamina    Tanker           9980  141.20   \n",
       "3  219083000  11.6038  74.7529      Hamina    Tanker           9980  141.20   \n",
       "4  219426000  11.9203  56.3253      Hamina    Tanker           3219   99.90   \n",
       "\n",
       "   Breadth  \n",
       "0    15.34  \n",
       "1    18.00  \n",
       "2    21.90  \n",
       "3    21.60  \n",
       "4    15.00  "
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#Import the data here\n",
    "data = pd.read_csv('shipdata2021_ex4') #data is presumed to be in the same folder. \n",
    "data.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "Wte8FnIsoDwv"
   },
   "source": [
    "_______________\n",
    "## <font color = dimgrey> 1) Data preprocessing\n",
    "Below are all the questions related to this topic, but you should put them under their own respective titles that are found below."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "d9plIRaMoDww"
   },
   "source": [
    "- a) First, find out how many different destinations there are in the data. Do you need to make any preprocessing? **1p** <br>\n",
    "- b) Destination harbor is a categorical variable. It needs to be converted into a numerical representation. Explain, why do you need to make this step? You can use get_dummies from pandas to implement one-hot coding for categorical features **1p**\n",
    "\n",
    "- c) Plot Gross tonnage versus the ship Length. Use different colors for different ship types. According to the plot, there is one <b> clear outlier. </b>  Correct the outlying value by changing it to the value 326 and rerun the plot after you have made the correction. **1p**\n",
    "- d) It is good to exploit domain knowledge and make some reasonable transformation to the feature values to improve the expected results and/or to avoid redundancy. Find out what gross tonnage means. Make some transformation to Length values to acquire a linear relationship between the transformed length and Gross tonnage values. You can find the needed information  https://en.wikipedia.org/wiki/Gross_tonnage. Look at the formula and think how you can get the two variables similarly scaled. If you are having trouble, just experiment with different transformations before asking help. By plotting you can see what the relationship looks like after a transformation you have tried **1p**\n",
    "- e) The numerical variables have quite different ranges. To ensure that all variables can have the same importance on the model, perform Z-score standardization. Perform it for speed, the ***transformed length*** variable, and breadth **1p**\n",
    "_______________________"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "hSCTfqgpoDwx"
   },
   "source": [
    "#### <font color = dimgrey> a) Find out how many different destinations there are in the data. Are there any mistakes and do you need to do any preprocessing? Give your code and answer below **1p** </font>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
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   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\u001b[1mNumber of unique destinations: \u001b[0m 16\n",
      "\n",
      "\n",
      " \u001b[1mDuplicate vessel values :\u001b[0m\n",
      "Empty DataFrame\n",
      "Columns: [MMSI, Speed, COG, Destination, Ship_type, Gross_tonnage, Length, Breadth]\n",
      "Index: []\n",
      "\n",
      "\n",
      " \u001b[1mData analysis:\u001b[0m \n",
      "\n",
      "<class 'pandas.core.frame.DataFrame'>\n",
      "RangeIndex: 134 entries, 0 to 133\n",
      "Data columns (total 8 columns):\n",
      " #   Column         Non-Null Count  Dtype  \n",
      "---  ------         --------------  -----  \n",
      " 0   MMSI           134 non-null    int64  \n",
      " 1   Speed          134 non-null    float64\n",
      " 2   COG            134 non-null    float64\n",
      " 3   Destination    134 non-null    object \n",
      " 4   Ship_type      134 non-null    object \n",
      " 5   Gross_tonnage  134 non-null    int64  \n",
      " 6   Length         134 non-null    float64\n",
      " 7   Breadth        134 non-null    float64\n",
      "dtypes: float64(4), int64(2), object(2)\n",
      "memory usage: 8.5+ KB\n",
      "None\n",
      "\n",
      "\n",
      " \u001b[1mLook for undefined:\u001b[0m \n",
      " MMSI             0\n",
      "Speed            0\n",
      "COG              0\n",
      "Destination      0\n",
      "Ship_type        0\n",
      "Gross_tonnage    0\n",
      "Length           0\n",
      "Breadth          0\n",
      "dtype: int64\n"
     ]
    }
   ],
   "source": [
    "### Code for 1.a) \n",
    "print('\\033[1m'+'Number of unique destinations: ' + '\\033[0m',data['Destination'].nunique())\n",
    "\n",
    "duplicate = data[data.duplicated('MMSI')]\n",
    "print(\"\\n\\n\",'\\033[1m'+ 'Duplicate vessel values :' + '\\033[0m')\n",
    "print(duplicate)\n",
    "\n",
    "print(\"\\n\\n\",'\\033[1m'+ 'Data analysis:' + '\\033[0m',\"\\n\")\n",
    "print(data.info())\n",
    "\n",
    "print(\"\\n\\n\", '\\033[1m'+ 'Look for undefined:' + '\\033[0m' ,\"\\n\",data.isnull().sum())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<font color = red> \\*** Answer here ***\n",
    "    <br><br> At first sight, there don't seem to be any mistakes, but as I was working on b), I have noticed that for the destination Sillamäe there is a typo that has been taken as a unique destination - Sillamae - at row 78. So, instead of 17 unique destinations we have only 16.<br><br>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "9BrZ_bsToDwy"
   },
   "source": [
    "____________\n",
    "#### <font color = dimgrey> b) Destination harbor is a categorical variable. It needs to be somehow converted into a numerical expression. Explain, why do you need to make this step? \n",
    "You can use get_dummies from pandas to implement onehot coding for categorical features **1p**"
   ]
  },
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    {
     "name": "stdout",
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     "text": [
      "0     Hamina\n",
      "1     Hamina\n",
      "2     Hamina\n",
      "3     Hamina\n",
      "4     Hamina\n",
      "5     Hamina\n",
      "6     Hamina\n",
      "7     Hamina\n",
      "8     Hamina\n",
      "9     Hamina\n",
      "10    Hamina\n",
      "11    Hamina\n",
      "12    Hamina\n",
      "13    Hamina\n",
      "14    Hamina\n",
      "15    Hamina\n",
      "16    Hamina\n",
      "17    Hamina\n",
      "18    Hamina\n",
      "Name: Destination, dtype: object  =  1.0\n",
      "19    Helsinki\n",
      "Name: Destination, dtype: object  =  2.0\n",
      "20    Kotka\n",
      "21    Kotka\n",
      "22    Kotka\n",
      "23    Kotka\n",
      "24    Kotka\n",
      "25    Kotka\n",
      "26    Kotka\n",
      "27    Kotka\n",
      "Name: Destination, dtype: object  =  3.0\n",
      "28    Kronshtadt\n",
      "29    Kronshtadt\n",
      "Name: Destination, dtype: object  =  4.0\n",
      "30    Kunda\n",
      "31    Kunda\n",
      "Name: Destination, dtype: object  =  5.0\n",
      "32    Muuga\n",
      "33    Muuga\n",
      "34    Muuga\n",
      "35    Muuga\n",
      "36    Muuga\n",
      "37    Muuga\n",
      "38    Muuga\n",
      "39    Muuga\n",
      "40    Muuga\n",
      "41    Muuga\n",
      "42    Muuga\n",
      "43    Muuga\n",
      "Name: Destination, dtype: object  =  6.0\n",
      "44    Paldiski\n",
      "45    Paldiski\n",
      "46    Paldiski\n",
      "47    Paldiski\n",
      "48    Paldiski\n",
      "49    Paldiski\n",
      "50    Paldiski\n",
      "51    Paldiski\n",
      "52    Paldiski\n",
      "Name: Destination, dtype: object  =  7.0\n",
      "53    Porvoo\n",
      "54    Porvoo\n",
      "55    Porvoo\n",
      "56    Porvoo\n",
      "57    Porvoo\n",
      "58    Porvoo\n",
      "59    Porvoo\n",
      "60    Porvoo\n",
      "61    Porvoo\n",
      "62    Porvoo\n",
      "63    Porvoo\n",
      "64    Porvoo\n",
      "65    Porvoo\n",
      "66    Porvoo\n",
      "67    Porvoo\n",
      "68    Porvoo\n",
      "69    Porvoo\n",
      "70    Porvoo\n",
      "Name: Destination, dtype: object  =  8.0\n",
      "71    Primorsk\n",
      "72    Primorsk\n",
      "73    Primorsk\n",
      "74    Primorsk\n",
      "75    Primorsk\n",
      "Name: Destination, dtype: object  =  9.0\n",
      "76    Sillamäe\n",
      "77    Sillamäe\n",
      "78    Sillamäe\n",
      "Name: Destination, dtype: object  =  10.0\n",
      "79    Tallinn\n",
      "80    Tallinn\n",
      "81    Tallinn\n",
      "82    Tallinn\n",
      "83    Tallinn\n",
      "84    Tallinn\n",
      "85    Tallinn\n",
      "86    Tallinn\n",
      "87    Tallinn\n",
      "88    Tallinn\n",
      "89    Tallinn\n",
      "90    Tallinn\n",
      "Name: Destination, dtype: object  =  11.0\n",
      "91     Ust-Luga\n",
      "92     Ust-Luga\n",
      "93     Ust-Luga\n",
      "94     Ust-Luga\n",
      "95     Ust-Luga\n",
      "96     Ust-Luga\n",
      "97     Ust-Luga\n",
      "98     Ust-Luga\n",
      "99     Ust-Luga\n",
      "100    Ust-Luga\n",
      "101    Ust-Luga\n",
      "102    Ust-Luga\n",
      "103    Ust-Luga\n",
      "104    Ust-Luga\n",
      "105    Ust-Luga\n",
      "106    Ust-Luga\n",
      "Name: Destination, dtype: object  =  12.0\n",
      "107    Valko-Loviisa\n",
      "108    Valko-Loviisa\n",
      "109    Valko-Loviisa\n",
      "110    Valko-Loviisa\n",
      "111    Valko-Loviisa\n",
      "112    Valko-Loviisa\n",
      "113    Valko-Loviisa\n",
      "114    Valko-Loviisa\n",
      "115    Valko-Loviisa\n",
      "Name: Destination, dtype: object  =  13.0\n",
      "116    Viipuri\n",
      "117    Viipuri\n",
      "118    Viipuri\n",
      "119    Viipuri\n",
      "120    Viipuri\n",
      "121    Viipuri\n",
      "Name: Destination, dtype: object  =  14.0\n",
      "122    Vuosaari\n",
      "123    Vuosaari\n",
      "124    Vuosaari\n",
      "125    Vuosaari\n",
      "126    Vuosaari\n",
      "127    Vuosaari\n",
      "128    Vuosaari\n",
      "Name: Destination, dtype: object  =  15.0\n",
      "129    Vysotsk\n",
      "130    Vysotsk\n",
      "131    Vysotsk\n",
      "132    Vysotsk\n",
      "133    Vysotsk\n",
      "Name: Destination, dtype: object  =  16.0\n"
     ]
    }
   ],
   "source": [
    "### Code for 1.b)\n",
    "dest = data['Destination'].unique()\n",
    "#print(dest)\n",
    "\n",
    "# ['Hamina' 'Helsinki' 'Kotka' 'Kronshtadt' 'Kunda' 'Muuga' 'Paldiski'\n",
    "#  'Porvoo' 'Primorsk' 'Sillamäe' 'Sillamae' 'Tallinn' 'Ust-Luga'\n",
    "#  'Valko-Loviisa' 'Viipuri' 'Vuosaari' 'Vysotsk']\n",
    "\n",
    "# codes_dest=pd.get_dummies(dest)\n",
    "# print(codes_dest)\n",
    "# print(codes_dest['Hamina'])\n",
    "\n",
    "#the code above has beed done as suggested by the tip in the exercise text, however, I find the output difficult to visualise\n",
    "#and work with, since we would have a 17 bit code for each of the destinations. Since the data doesn't show that a ship is going\n",
    "#to more harbours, there is no need for such codes. Thus, I have used a loop to give each harbour a code, from 1 to 17.\n",
    "\n",
    "codes_dest = np.linspace(1,len(dest),len(dest))\n",
    "for i,j in enumerate(dest):\n",
    "    print(data.loc[data['Destination']==j,'Destination'], ' = ', codes_dest[i])\n",
    "#by doing this type of analysis, I managed to see that all enteries have been groupped by destination, and for the destination \n",
    "#Sillamäe there is a typo that has been taken as a unique destination - Sillamae - at row 78\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<font color = red> \\*** Answer here ***\n",
    "    <br><br>The encoding of the attributes is normally done to receive valuable information about a certain object or to make it easier to plot and visualise a Data Matrix. Normally, for this type of attribute we should have used the onehot encoding so, for example, if a ship had two destinations, let's say Hamina, with the code 1000 and then Helsinki, with the code 0001, the ship would have had the code 1001 for it's destination in every instance, and then we could reduce the number of insances of that ship introduced into the data set to 1. However, since we don't have different enteries for the same ship, there is no need to use the onehot encoding, especially since we would have had 16 bit numbers instead of destinations, which would have made the data a bit more difficult to visualise. Thus, I chose to encode the destinations as numbers, from 1 to 16, especially because I have noticed that all enteries have been groupped by destination in the given order.<br><br>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Number of unique destinations:  16\n"
     ]
    },
    {
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       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>MMSI</th>\n",
       "      <th>Speed</th>\n",
       "      <th>COG</th>\n",
       "      <th>Destination</th>\n",
       "      <th>Ship_type</th>\n",
       "      <th>Gross_tonnage</th>\n",
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       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>212209000</td>\n",
       "      <td>10.1377</td>\n",
       "      <td>64.3074</td>\n",
       "      <td>1.0</td>\n",
       "      <td>Cargo</td>\n",
       "      <td>3416</td>\n",
       "      <td>94.91</td>\n",
       "      <td>15.34</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>212436000</td>\n",
       "      <td>13.5256</td>\n",
       "      <td>77.0755</td>\n",
       "      <td>1.0</td>\n",
       "      <td>Tanker</td>\n",
       "      <td>6280</td>\n",
       "      <td>116.90</td>\n",
       "      <td>18.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>219082000</td>\n",
       "      <td>9.9416</td>\n",
       "      <td>74.6762</td>\n",
       "      <td>1.0</td>\n",
       "      <td>Tanker</td>\n",
       "      <td>9980</td>\n",
       "      <td>141.20</td>\n",
       "      <td>21.90</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>219083000</td>\n",
       "      <td>11.6038</td>\n",
       "      <td>74.7529</td>\n",
       "      <td>1.0</td>\n",
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       "      <td>141.20</td>\n",
       "      <td>21.60</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>219426000</td>\n",
       "      <td>11.9203</td>\n",
       "      <td>56.3253</td>\n",
       "      <td>1.0</td>\n",
       "      <td>Tanker</td>\n",
       "      <td>3219</td>\n",
       "      <td>99.90</td>\n",
       "      <td>15.00</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "        MMSI    Speed      COG Destination Ship_type  Gross_tonnage  Length  \\\n",
       "0  212209000  10.1377  64.3074         1.0     Cargo           3416   94.91   \n",
       "1  212436000  13.5256  77.0755         1.0    Tanker           6280  116.90   \n",
       "2  219082000   9.9416  74.6762         1.0    Tanker           9980  141.20   \n",
       "3  219083000  11.6038  74.7529         1.0    Tanker           9980  141.20   \n",
       "4  219426000  11.9203  56.3253         1.0    Tanker           3219   99.90   \n",
       "\n",
       "   Breadth  \n",
       "0    15.34  \n",
       "1    18.00  \n",
       "2    21.90  \n",
       "3    21.60  \n",
       "4    15.00  "
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data['Destination'] = data['Destination'].replace(\"Sillamae\", \"Sillamäe\")\n",
    "print(\"Number of unique destinations: \",data['Destination'].nunique())\n",
    "\n",
    "data_copy = data.copy(deep=True) #so we don't make any changes directly on the original data frame\n",
    "\n",
    "# remake b)\n",
    "dest = data_copy['Destination'].unique()\n",
    "\n",
    "\n",
    "#print(dest) - to see if the change has been made, the rest of the results from a remain the same\n",
    "\n",
    "#remake the codes for each destination\n",
    "codes_dest = np.linspace(1,len(dest),len(dest))\n",
    "\n",
    "#check that each one has been attributed correctly\n",
    "\n",
    "\n",
    "for i,j in enumerate(dest):\n",
    "    data_copy.loc[data_copy['Destination'] == j,'Destination'] = codes_dest[i]\n",
    "\n",
    "#check the changes and the new data frame    \n",
    "#print(dest)\n",
    "#print(codes_dest)\n",
    "data_copy.head()\n",
    "#data.head()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "3rEY4Vf6oDwz"
   },
   "source": [
    "_______________\n",
    "####  <font color = dimgrey> c) Plot Gross tonnage versus the ship Length. \n",
    "\n",
    "- Use different colors for different ship types. According to the plot, there is one <b> clear </b> outlier. <b> Correct the outlying value by changing it to the value 326 </b> and rerun the plot after you have made the correction. **1p**\n",
    "- If you want to do things very nicely you could wrap the plotting in a function so you don't paste the same code twice, but this is not required."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "id": "q2rk7xP1oDwz",
    "outputId": "fa2c0480-18c7-4e41-cc31-a77dc1cfa5ab"
   },
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "/* global mpl */\n",
       "window.mpl = {};\n",
       "\n",
       "mpl.get_websocket_type = function () {\n",
       "    if (typeof WebSocket !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof MozWebSocket !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert(\n",
       "            'Your browser does not have WebSocket support. ' +\n",
       "                'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "                'Firefox 4 and 5 are also supported but you ' +\n",
       "                'have to enable WebSockets in about:config.'\n",
       "        );\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure = function (figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = this.ws.binaryType !== undefined;\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById('mpl-warnings');\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent =\n",
       "                'This browser does not support binary websocket messages. ' +\n",
       "                'Performance may be slow.';\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = document.createElement('div');\n",
       "    this.root.setAttribute('style', 'display: inline-block');\n",
       "    this._root_extra_style(this.root);\n",
       "\n",
       "    parent_element.appendChild(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen = function () {\n",
       "        fig.send_message('supports_binary', { value: fig.supports_binary });\n",
       "        fig.send_message('send_image_mode', {});\n",
       "        if (fig.ratio !== 1) {\n",
       "            fig.send_message('set_dpi_ratio', { dpi_ratio: fig.ratio });\n",
       "        }\n",
       "        fig.send_message('refresh', {});\n",
       "    };\n",
       "\n",
       "    this.imageObj.onload = function () {\n",
       "        if (fig.image_mode === 'full') {\n",
       "            // Full images could contain transparency (where diff images\n",
       "            // almost always do), so we need to clear the canvas so that\n",
       "            // there is no ghosting.\n",
       "            fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "        }\n",
       "        fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "    };\n",
       "\n",
       "    this.imageObj.onunload = function () {\n",
       "        fig.ws.close();\n",
       "    };\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_header = function () {\n",
       "    var titlebar = document.createElement('div');\n",
       "    titlebar.classList =\n",
       "        'ui-dialog-titlebar ui-widget-header ui-corner-all ui-helper-clearfix';\n",
       "    var titletext = document.createElement('div');\n",
       "    titletext.classList = 'ui-dialog-title';\n",
       "    titletext.setAttribute(\n",
       "        'style',\n",
       "        'width: 100%; text-align: center; padding: 3px;'\n",
       "    );\n",
       "    titlebar.appendChild(titletext);\n",
       "    this.root.appendChild(titlebar);\n",
       "    this.header = titletext;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = (this.canvas_div = document.createElement('div'));\n",
       "    canvas_div.setAttribute(\n",
       "        'style',\n",
       "        'border: 1px solid #ddd;' +\n",
       "            'box-sizing: content-box;' +\n",
       "            'clear: both;' +\n",
       "            'min-height: 1px;' +\n",
       "            'min-width: 1px;' +\n",
       "            'outline: 0;' +\n",
       "            'overflow: hidden;' +\n",
       "            'position: relative;' +\n",
       "            'resize: both;'\n",
       "    );\n",
       "\n",
       "    function on_keyboard_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.key_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    canvas_div.addEventListener(\n",
       "        'keydown',\n",
       "        on_keyboard_event_closure('key_press')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'keyup',\n",
       "        on_keyboard_event_closure('key_release')\n",
       "    );\n",
       "\n",
       "    this._canvas_extra_style(canvas_div);\n",
       "    this.root.appendChild(canvas_div);\n",
       "\n",
       "    var canvas = (this.canvas = document.createElement('canvas'));\n",
       "    canvas.classList.add('mpl-canvas');\n",
       "    canvas.setAttribute('style', 'box-sizing: content-box;');\n",
       "\n",
       "    this.context = canvas.getContext('2d');\n",
       "\n",
       "    var backingStore =\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        this.context.webkitBackingStorePixelRatio ||\n",
       "        this.context.mozBackingStorePixelRatio ||\n",
       "        this.context.msBackingStorePixelRatio ||\n",
       "        this.context.oBackingStorePixelRatio ||\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        1;\n",
       "\n",
       "    this.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband_canvas = (this.rubberband_canvas = document.createElement(\n",
       "        'canvas'\n",
       "    ));\n",
       "    rubberband_canvas.setAttribute(\n",
       "        'style',\n",
       "        'box-sizing: content-box; position: absolute; left: 0; top: 0; z-index: 1;'\n",
       "    );\n",
       "\n",
       "    // Apply a ponyfill if ResizeObserver is not implemented by browser.\n",
       "    if (this.ResizeObserver === undefined) {\n",
       "        if (window.ResizeObserver !== undefined) {\n",
       "            this.ResizeObserver = window.ResizeObserver;\n",
       "        } else {\n",
       "            var obs = _JSXTOOLS_RESIZE_OBSERVER({});\n",
       "            this.ResizeObserver = obs.ResizeObserver;\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.resizeObserverInstance = new this.ResizeObserver(function (entries) {\n",
       "        var nentries = entries.length;\n",
       "        for (var i = 0; i < nentries; i++) {\n",
       "            var entry = entries[i];\n",
       "            var width, height;\n",
       "            if (entry.contentBoxSize) {\n",
       "                if (entry.contentBoxSize instanceof Array) {\n",
       "                    // Chrome 84 implements new version of spec.\n",
       "                    width = entry.contentBoxSize[0].inlineSize;\n",
       "                    height = entry.contentBoxSize[0].blockSize;\n",
       "                } else {\n",
       "                    // Firefox implements old version of spec.\n",
       "                    width = entry.contentBoxSize.inlineSize;\n",
       "                    height = entry.contentBoxSize.blockSize;\n",
       "                }\n",
       "            } else {\n",
       "                // Chrome <84 implements even older version of spec.\n",
       "                width = entry.contentRect.width;\n",
       "                height = entry.contentRect.height;\n",
       "            }\n",
       "\n",
       "            // Keep the size of the canvas and rubber band canvas in sync with\n",
       "            // the canvas container.\n",
       "            if (entry.devicePixelContentBoxSize) {\n",
       "                // Chrome 84 implements new version of spec.\n",
       "                canvas.setAttribute(\n",
       "                    'width',\n",
       "                    entry.devicePixelContentBoxSize[0].inlineSize\n",
       "                );\n",
       "                canvas.setAttribute(\n",
       "                    'height',\n",
       "                    entry.devicePixelContentBoxSize[0].blockSize\n",
       "                );\n",
       "            } else {\n",
       "                canvas.setAttribute('width', width * fig.ratio);\n",
       "                canvas.setAttribute('height', height * fig.ratio);\n",
       "            }\n",
       "            canvas.setAttribute(\n",
       "                'style',\n",
       "                'width: ' + width + 'px; height: ' + height + 'px;'\n",
       "            );\n",
       "\n",
       "            rubberband_canvas.setAttribute('width', width);\n",
       "            rubberband_canvas.setAttribute('height', height);\n",
       "\n",
       "            // And update the size in Python. We ignore the initial 0/0 size\n",
       "            // that occurs as the element is placed into the DOM, which should\n",
       "            // otherwise not happen due to the minimum size styling.\n",
       "            if (fig.ws.readyState == 1 && width != 0 && height != 0) {\n",
       "                fig.request_resize(width, height);\n",
       "            }\n",
       "        }\n",
       "    });\n",
       "    this.resizeObserverInstance.observe(canvas_div);\n",
       "\n",
       "    function on_mouse_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.mouse_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousedown',\n",
       "        on_mouse_event_closure('button_press')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseup',\n",
       "        on_mouse_event_closure('button_release')\n",
       "    );\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousemove',\n",
       "        on_mouse_event_closure('motion_notify')\n",
       "    );\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseenter',\n",
       "        on_mouse_event_closure('figure_enter')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseleave',\n",
       "        on_mouse_event_closure('figure_leave')\n",
       "    );\n",
       "\n",
       "    canvas_div.addEventListener('wheel', function (event) {\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        on_mouse_event_closure('scroll')(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.appendChild(canvas);\n",
       "    canvas_div.appendChild(rubberband_canvas);\n",
       "\n",
       "    this.rubberband_context = rubberband_canvas.getContext('2d');\n",
       "    this.rubberband_context.strokeStyle = '#000000';\n",
       "\n",
       "    this._resize_canvas = function (width, height, forward) {\n",
       "        if (forward) {\n",
       "            canvas_div.style.width = width + 'px';\n",
       "            canvas_div.style.height = height + 'px';\n",
       "        }\n",
       "    };\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    this.rubberband_canvas.addEventListener('contextmenu', function (_e) {\n",
       "        event.preventDefault();\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus() {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'mpl-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'mpl-button-group';\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'mpl-button-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        var button = (fig.buttons[name] = document.createElement('button'));\n",
       "        button.classList = 'mpl-widget';\n",
       "        button.setAttribute('role', 'button');\n",
       "        button.setAttribute('aria-disabled', 'false');\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "\n",
       "        var icon_img = document.createElement('img');\n",
       "        icon_img.src = '_images/' + image + '.png';\n",
       "        icon_img.srcset = '_images/' + image + '_large.png 2x';\n",
       "        icon_img.alt = tooltip;\n",
       "        button.appendChild(icon_img);\n",
       "\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    var fmt_picker = document.createElement('select');\n",
       "    fmt_picker.classList = 'mpl-widget';\n",
       "    toolbar.appendChild(fmt_picker);\n",
       "    this.format_dropdown = fmt_picker;\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = document.createElement('option');\n",
       "        option.selected = fmt === mpl.default_extension;\n",
       "        option.innerHTML = fmt;\n",
       "        fmt_picker.appendChild(option);\n",
       "    }\n",
       "\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.request_resize = function (x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', { width: x_pixels, height: y_pixels });\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_message = function (type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function () {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({ type: 'draw', figure_id: this.id }));\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function (fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] !== fig.canvas.width || size[1] !== fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1], msg['forward']);\n",
       "        fig.send_message('refresh', {});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function (fig, msg) {\n",
       "    var x0 = msg['x0'] / fig.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / fig.ratio;\n",
       "    var x1 = msg['x1'] / fig.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / fig.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0,\n",
       "        0,\n",
       "        fig.canvas.width / fig.ratio,\n",
       "        fig.canvas.height / fig.ratio\n",
       "    );\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function (fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function (fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch (cursor) {\n",
       "        case 0:\n",
       "            cursor = 'pointer';\n",
       "            break;\n",
       "        case 1:\n",
       "            cursor = 'default';\n",
       "            break;\n",
       "        case 2:\n",
       "            cursor = 'crosshair';\n",
       "            break;\n",
       "        case 3:\n",
       "            cursor = 'move';\n",
       "            break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_message = function (fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function (fig, _msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function (fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_history_buttons = function (fig, msg) {\n",
       "    for (var key in msg) {\n",
       "        if (!(key in fig.buttons)) {\n",
       "            continue;\n",
       "        }\n",
       "        fig.buttons[key].disabled = !msg[key];\n",
       "        fig.buttons[key].setAttribute('aria-disabled', !msg[key]);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_navigate_mode = function (fig, msg) {\n",
       "    if (msg['mode'] === 'PAN') {\n",
       "        fig.buttons['Pan'].classList.add('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    } else if (msg['mode'] === 'ZOOM') {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.add('active');\n",
       "    } else {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message('ack', {});\n",
       "};\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function (fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            /* 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",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                evt.data\n",
       "            );\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        } else if (\n",
       "            typeof evt.data === 'string' &&\n",
       "            evt.data.slice(0, 21) === 'data:image/png;base64'\n",
       "        ) {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig['handle_' + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\n",
       "                \"No handler for the '\" + msg_type + \"' message type: \",\n",
       "                msg\n",
       "            );\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\n",
       "                    \"Exception inside the 'handler_\" + msg_type + \"' callback:\",\n",
       "                    e,\n",
       "                    e.stack,\n",
       "                    msg\n",
       "                );\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "};\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function (e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e) {\n",
       "        e = window.event;\n",
       "    }\n",
       "    if (e.target) {\n",
       "        targ = e.target;\n",
       "    } else if (e.srcElement) {\n",
       "        targ = e.srcElement;\n",
       "    }\n",
       "    if (targ.nodeType === 3) {\n",
       "        // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "    }\n",
       "\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    var boundingRect = targ.getBoundingClientRect();\n",
       "    var x = e.pageX - (boundingRect.left + document.body.scrollLeft);\n",
       "    var y = e.pageY - (boundingRect.top + document.body.scrollTop);\n",
       "\n",
       "    return { x: x, y: y };\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys(original) {\n",
       "    return Object.keys(original).reduce(function (obj, key) {\n",
       "        if (typeof original[key] !== 'object') {\n",
       "            obj[key] = original[key];\n",
       "        }\n",
       "        return obj;\n",
       "    }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function (event, name) {\n",
       "    var canvas_pos = mpl.findpos(event);\n",
       "\n",
       "    if (name === 'button_press') {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * this.ratio;\n",
       "    var y = canvas_pos.y * this.ratio;\n",
       "\n",
       "    this.send_message(name, {\n",
       "        x: x,\n",
       "        y: y,\n",
       "        button: event.button,\n",
       "        step: event.step,\n",
       "        guiEvent: simpleKeys(event),\n",
       "    });\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (_event, _name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.key_event = function (event, name) {\n",
       "    // Prevent repeat events\n",
       "    if (name === 'key_press') {\n",
       "        if (event.which === this._key) {\n",
       "            return;\n",
       "        } else {\n",
       "            this._key = event.which;\n",
       "        }\n",
       "    }\n",
       "    if (name === 'key_release') {\n",
       "        this._key = null;\n",
       "    }\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.which !== 17) {\n",
       "        value += 'ctrl+';\n",
       "    }\n",
       "    if (event.altKey && event.which !== 18) {\n",
       "        value += 'alt+';\n",
       "    }\n",
       "    if (event.shiftKey && event.which !== 16) {\n",
       "        value += 'shift+';\n",
       "    }\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, guiEvent: simpleKeys(event) });\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function (name) {\n",
       "    if (name === 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message('toolbar_button', { name: name });\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function (tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "\n",
       "///////////////// REMAINING CONTENT GENERATED BY embed_js.py /////////////////\n",
       "// prettier-ignore\n",
       "var _JSXTOOLS_RESIZE_OBSERVER=function(A){var t,i=new WeakMap,n=new WeakMap,a=new WeakMap,r=new WeakMap,o=new Set;function s(e){if(!(this instanceof s))throw new TypeError(\"Constructor requires 'new' operator\");i.set(this,e)}function h(){throw new TypeError(\"Function is not a constructor\")}function c(e,t,i,n){e=0 in arguments?Number(arguments[0]):0,t=1 in arguments?Number(arguments[1]):0,i=2 in arguments?Number(arguments[2]):0,n=3 in arguments?Number(arguments[3]):0,this.right=(this.x=this.left=e)+(this.width=i),this.bottom=(this.y=this.top=t)+(this.height=n),Object.freeze(this)}function d(){t=requestAnimationFrame(d);var s=new WeakMap,p=new Set;o.forEach((function(t){r.get(t).forEach((function(i){var r=t instanceof window.SVGElement,o=a.get(t),d=r?0:parseFloat(o.paddingTop),f=r?0:parseFloat(o.paddingRight),l=r?0:parseFloat(o.paddingBottom),u=r?0:parseFloat(o.paddingLeft),g=r?0:parseFloat(o.borderTopWidth),m=r?0:parseFloat(o.borderRightWidth),w=r?0:parseFloat(o.borderBottomWidth),b=u+f,F=d+l,v=(r?0:parseFloat(o.borderLeftWidth))+m,W=g+w,y=r?0:t.offsetHeight-W-t.clientHeight,E=r?0:t.offsetWidth-v-t.clientWidth,R=b+v,z=F+W,M=r?t.width:parseFloat(o.width)-R-E,O=r?t.height:parseFloat(o.height)-z-y;if(n.has(t)){var k=n.get(t);if(k[0]===M&&k[1]===O)return}n.set(t,[M,O]);var S=Object.create(h.prototype);S.target=t,S.contentRect=new c(u,d,M,O),s.has(i)||(s.set(i,[]),p.add(i)),s.get(i).push(S)}))})),p.forEach((function(e){i.get(e).call(e,s.get(e),e)}))}return s.prototype.observe=function(i){if(i instanceof window.Element){r.has(i)||(r.set(i,new Set),o.add(i),a.set(i,window.getComputedStyle(i)));var n=r.get(i);n.has(this)||n.add(this),cancelAnimationFrame(t),t=requestAnimationFrame(d)}},s.prototype.unobserve=function(i){if(i instanceof window.Element&&r.has(i)){var n=r.get(i);n.has(this)&&(n.delete(this),n.size||(r.delete(i),o.delete(i))),n.size||r.delete(i),o.size||cancelAnimationFrame(t)}},A.DOMRectReadOnly=c,A.ResizeObserver=s,A.ResizeObserverEntry=h,A}; // eslint-disable-line\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Left button pans, Right button zooms\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";/* global mpl */\n",
       "\n",
       "var comm_websocket_adapter = function (comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.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 = document.getElementById(id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm);\n",
       "\n",
       "    function ondownload(figure, _format) {\n",
       "        window.open(figure.canvas.toDataURL());\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy, ondownload, element);\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element;\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error('Failed to find cell for figure', id, fig);\n",
       "        return;\n",
       "    }\n",
       "    fig.cell_info[0].output_area.element.on(\n",
       "        'cleared',\n",
       "        { fig: fig },\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function (fig, msg) {\n",
       "    var width = fig.canvas.width / fig.ratio;\n",
       "    fig.cell_info[0].output_area.element.off(\n",
       "        'cleared',\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "    fig.resizeObserverInstance.unobserve(fig.canvas_div);\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable();\n",
       "    fig.parent_element.innerHTML =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "    fig.close_ws(fig, msg);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.close_ws = function (fig, msg) {\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function (_remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width / this.ratio;\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message('ack', {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () {\n",
       "        fig.push_to_output();\n",
       "    }, 1000);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'btn-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'btn-group';\n",
       "    var button;\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'btn-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        button = fig.buttons[name] = document.createElement('button');\n",
       "        button.classList = 'btn btn-default';\n",
       "        button.href = '#';\n",
       "        button.title = name;\n",
       "        button.innerHTML = '<i class=\"fa ' + image + ' fa-lg\"></i>';\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message pull-right';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = document.createElement('div');\n",
       "    buttongrp.classList = 'btn-group inline pull-right';\n",
       "    button = document.createElement('button');\n",
       "    button.classList = 'btn btn-mini btn-primary';\n",
       "    button.href = '#';\n",
       "    button.title = 'Stop Interaction';\n",
       "    button.innerHTML = '<i class=\"fa fa-power-off icon-remove icon-large\"></i>';\n",
       "    button.addEventListener('click', function (_evt) {\n",
       "        fig.handle_close(fig, {});\n",
       "    });\n",
       "    button.addEventListener(\n",
       "        'mouseover',\n",
       "        on_mouseover_closure('Stop Interaction')\n",
       "    );\n",
       "    buttongrp.appendChild(button);\n",
       "    var titlebar = this.root.querySelector('.ui-dialog-titlebar');\n",
       "    titlebar.insertBefore(buttongrp, titlebar.firstChild);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._remove_fig_handler = function (event) {\n",
       "    var fig = event.data.fig;\n",
       "    if (event.target !== this) {\n",
       "        // Ignore bubbled events from children.\n",
       "        return;\n",
       "    }\n",
       "    fig.close_ws(fig, {});\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (el) {\n",
       "    el.style.boxSizing = 'content-box'; // override notebook setting of border-box.\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (el) {\n",
       "    // this is important to make the div 'focusable\n",
       "    el.setAttribute('tabindex', 0);\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    } else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (event, _name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager) {\n",
       "        manager = IPython.keyboard_manager;\n",
       "    }\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which === 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "};\n",
       "\n",
       "mpl.find_output_cell = function (html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i = 0; i < ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code') {\n",
       "            for (var j = 0; j < cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] === html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "};\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel !== null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target(\n",
       "        'matplotlib',\n",
       "        mpl.mpl_figure_comm\n",
       "    );\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<img 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\" width=\"640\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "### Code for 1 c) plot with the outlier \n",
    "\n",
    "\n",
    "plt.figure()\n",
    "\n",
    "plt.scatter((data_copy.loc[data_copy['Ship_type'] == \"Cargo\"])[\"Length\"],\n",
    "            (data_copy.loc[data_copy['Ship_type'] == \"Cargo\"])[\"Gross_tonnage\"],\n",
    "            color='red',label=\"Cargo\")\n",
    "\n",
    "\n",
    "plt.scatter((data_copy.loc[data_copy['Ship_type'] == \"Tanker\"])[\"Length\"],\n",
    "            (data_copy.loc[data_copy['Ship_type'] == \"Tanker\"])[\"Gross_tonnage\"],\n",
    "            color='blue',label=\"Tanker\")\n",
    "\n",
    "plt.scatter((data_copy.loc[data_copy['Ship_type'] == \"Tug\"])[\"Length\"],\n",
    "            (data_copy.loc[data_copy['Ship_type'] == \"Tug\"])[\"Gross_tonnage\"],\n",
    "            color='orange',label=\"Tug\")\n",
    "\n",
    "plt.xlabel('Length')\n",
    "plt.ylabel('Gross_tonnage')\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "id": "KbFj25Z1oDw0",
    "outputId": "4de8d8fe-b906-4f0d-afe5-a19468d2ecb3"
   },
   "outputs": [],
   "source": [
    "#We can see that the outlier is of type Tanker and is situated somwhere bellow a vallue higher than 50 but smaller than 100\n",
    "\n",
    "data_copy.loc[(data_copy.loc[data_copy['Ship_type'] == \"Tanker\"]).loc[data_copy['Length'] < 70].index,'Gross_tonnage'] = 326"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "/* global mpl */\n",
       "window.mpl = {};\n",
       "\n",
       "mpl.get_websocket_type = function () {\n",
       "    if (typeof WebSocket !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof MozWebSocket !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert(\n",
       "            'Your browser does not have WebSocket support. ' +\n",
       "                'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "                'Firefox 4 and 5 are also supported but you ' +\n",
       "                'have to enable WebSockets in about:config.'\n",
       "        );\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure = function (figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = this.ws.binaryType !== undefined;\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById('mpl-warnings');\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent =\n",
       "                'This browser does not support binary websocket messages. ' +\n",
       "                'Performance may be slow.';\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = document.createElement('div');\n",
       "    this.root.setAttribute('style', 'display: inline-block');\n",
       "    this._root_extra_style(this.root);\n",
       "\n",
       "    parent_element.appendChild(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen = function () {\n",
       "        fig.send_message('supports_binary', { value: fig.supports_binary });\n",
       "        fig.send_message('send_image_mode', {});\n",
       "        if (fig.ratio !== 1) {\n",
       "            fig.send_message('set_dpi_ratio', { dpi_ratio: fig.ratio });\n",
       "        }\n",
       "        fig.send_message('refresh', {});\n",
       "    };\n",
       "\n",
       "    this.imageObj.onload = function () {\n",
       "        if (fig.image_mode === 'full') {\n",
       "            // Full images could contain transparency (where diff images\n",
       "            // almost always do), so we need to clear the canvas so that\n",
       "            // there is no ghosting.\n",
       "            fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "        }\n",
       "        fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "    };\n",
       "\n",
       "    this.imageObj.onunload = function () {\n",
       "        fig.ws.close();\n",
       "    };\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_header = function () {\n",
       "    var titlebar = document.createElement('div');\n",
       "    titlebar.classList =\n",
       "        'ui-dialog-titlebar ui-widget-header ui-corner-all ui-helper-clearfix';\n",
       "    var titletext = document.createElement('div');\n",
       "    titletext.classList = 'ui-dialog-title';\n",
       "    titletext.setAttribute(\n",
       "        'style',\n",
       "        'width: 100%; text-align: center; padding: 3px;'\n",
       "    );\n",
       "    titlebar.appendChild(titletext);\n",
       "    this.root.appendChild(titlebar);\n",
       "    this.header = titletext;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = (this.canvas_div = document.createElement('div'));\n",
       "    canvas_div.setAttribute(\n",
       "        'style',\n",
       "        'border: 1px solid #ddd;' +\n",
       "            'box-sizing: content-box;' +\n",
       "            'clear: both;' +\n",
       "            'min-height: 1px;' +\n",
       "            'min-width: 1px;' +\n",
       "            'outline: 0;' +\n",
       "            'overflow: hidden;' +\n",
       "            'position: relative;' +\n",
       "            'resize: both;'\n",
       "    );\n",
       "\n",
       "    function on_keyboard_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.key_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    canvas_div.addEventListener(\n",
       "        'keydown',\n",
       "        on_keyboard_event_closure('key_press')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'keyup',\n",
       "        on_keyboard_event_closure('key_release')\n",
       "    );\n",
       "\n",
       "    this._canvas_extra_style(canvas_div);\n",
       "    this.root.appendChild(canvas_div);\n",
       "\n",
       "    var canvas = (this.canvas = document.createElement('canvas'));\n",
       "    canvas.classList.add('mpl-canvas');\n",
       "    canvas.setAttribute('style', 'box-sizing: content-box;');\n",
       "\n",
       "    this.context = canvas.getContext('2d');\n",
       "\n",
       "    var backingStore =\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        this.context.webkitBackingStorePixelRatio ||\n",
       "        this.context.mozBackingStorePixelRatio ||\n",
       "        this.context.msBackingStorePixelRatio ||\n",
       "        this.context.oBackingStorePixelRatio ||\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        1;\n",
       "\n",
       "    this.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband_canvas = (this.rubberband_canvas = document.createElement(\n",
       "        'canvas'\n",
       "    ));\n",
       "    rubberband_canvas.setAttribute(\n",
       "        'style',\n",
       "        'box-sizing: content-box; position: absolute; left: 0; top: 0; z-index: 1;'\n",
       "    );\n",
       "\n",
       "    // Apply a ponyfill if ResizeObserver is not implemented by browser.\n",
       "    if (this.ResizeObserver === undefined) {\n",
       "        if (window.ResizeObserver !== undefined) {\n",
       "            this.ResizeObserver = window.ResizeObserver;\n",
       "        } else {\n",
       "            var obs = _JSXTOOLS_RESIZE_OBSERVER({});\n",
       "            this.ResizeObserver = obs.ResizeObserver;\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.resizeObserverInstance = new this.ResizeObserver(function (entries) {\n",
       "        var nentries = entries.length;\n",
       "        for (var i = 0; i < nentries; i++) {\n",
       "            var entry = entries[i];\n",
       "            var width, height;\n",
       "            if (entry.contentBoxSize) {\n",
       "                if (entry.contentBoxSize instanceof Array) {\n",
       "                    // Chrome 84 implements new version of spec.\n",
       "                    width = entry.contentBoxSize[0].inlineSize;\n",
       "                    height = entry.contentBoxSize[0].blockSize;\n",
       "                } else {\n",
       "                    // Firefox implements old version of spec.\n",
       "                    width = entry.contentBoxSize.inlineSize;\n",
       "                    height = entry.contentBoxSize.blockSize;\n",
       "                }\n",
       "            } else {\n",
       "                // Chrome <84 implements even older version of spec.\n",
       "                width = entry.contentRect.width;\n",
       "                height = entry.contentRect.height;\n",
       "            }\n",
       "\n",
       "            // Keep the size of the canvas and rubber band canvas in sync with\n",
       "            // the canvas container.\n",
       "            if (entry.devicePixelContentBoxSize) {\n",
       "                // Chrome 84 implements new version of spec.\n",
       "                canvas.setAttribute(\n",
       "                    'width',\n",
       "                    entry.devicePixelContentBoxSize[0].inlineSize\n",
       "                );\n",
       "                canvas.setAttribute(\n",
       "                    'height',\n",
       "                    entry.devicePixelContentBoxSize[0].blockSize\n",
       "                );\n",
       "            } else {\n",
       "                canvas.setAttribute('width', width * fig.ratio);\n",
       "                canvas.setAttribute('height', height * fig.ratio);\n",
       "            }\n",
       "            canvas.setAttribute(\n",
       "                'style',\n",
       "                'width: ' + width + 'px; height: ' + height + 'px;'\n",
       "            );\n",
       "\n",
       "            rubberband_canvas.setAttribute('width', width);\n",
       "            rubberband_canvas.setAttribute('height', height);\n",
       "\n",
       "            // And update the size in Python. We ignore the initial 0/0 size\n",
       "            // that occurs as the element is placed into the DOM, which should\n",
       "            // otherwise not happen due to the minimum size styling.\n",
       "            if (fig.ws.readyState == 1 && width != 0 && height != 0) {\n",
       "                fig.request_resize(width, height);\n",
       "            }\n",
       "        }\n",
       "    });\n",
       "    this.resizeObserverInstance.observe(canvas_div);\n",
       "\n",
       "    function on_mouse_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.mouse_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousedown',\n",
       "        on_mouse_event_closure('button_press')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseup',\n",
       "        on_mouse_event_closure('button_release')\n",
       "    );\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousemove',\n",
       "        on_mouse_event_closure('motion_notify')\n",
       "    );\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseenter',\n",
       "        on_mouse_event_closure('figure_enter')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseleave',\n",
       "        on_mouse_event_closure('figure_leave')\n",
       "    );\n",
       "\n",
       "    canvas_div.addEventListener('wheel', function (event) {\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        on_mouse_event_closure('scroll')(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.appendChild(canvas);\n",
       "    canvas_div.appendChild(rubberband_canvas);\n",
       "\n",
       "    this.rubberband_context = rubberband_canvas.getContext('2d');\n",
       "    this.rubberband_context.strokeStyle = '#000000';\n",
       "\n",
       "    this._resize_canvas = function (width, height, forward) {\n",
       "        if (forward) {\n",
       "            canvas_div.style.width = width + 'px';\n",
       "            canvas_div.style.height = height + 'px';\n",
       "        }\n",
       "    };\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    this.rubberband_canvas.addEventListener('contextmenu', function (_e) {\n",
       "        event.preventDefault();\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus() {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'mpl-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'mpl-button-group';\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'mpl-button-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        var button = (fig.buttons[name] = document.createElement('button'));\n",
       "        button.classList = 'mpl-widget';\n",
       "        button.setAttribute('role', 'button');\n",
       "        button.setAttribute('aria-disabled', 'false');\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "\n",
       "        var icon_img = document.createElement('img');\n",
       "        icon_img.src = '_images/' + image + '.png';\n",
       "        icon_img.srcset = '_images/' + image + '_large.png 2x';\n",
       "        icon_img.alt = tooltip;\n",
       "        button.appendChild(icon_img);\n",
       "\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    var fmt_picker = document.createElement('select');\n",
       "    fmt_picker.classList = 'mpl-widget';\n",
       "    toolbar.appendChild(fmt_picker);\n",
       "    this.format_dropdown = fmt_picker;\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = document.createElement('option');\n",
       "        option.selected = fmt === mpl.default_extension;\n",
       "        option.innerHTML = fmt;\n",
       "        fmt_picker.appendChild(option);\n",
       "    }\n",
       "\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.request_resize = function (x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', { width: x_pixels, height: y_pixels });\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_message = function (type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function () {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({ type: 'draw', figure_id: this.id }));\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function (fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] !== fig.canvas.width || size[1] !== fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1], msg['forward']);\n",
       "        fig.send_message('refresh', {});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function (fig, msg) {\n",
       "    var x0 = msg['x0'] / fig.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / fig.ratio;\n",
       "    var x1 = msg['x1'] / fig.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / fig.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0,\n",
       "        0,\n",
       "        fig.canvas.width / fig.ratio,\n",
       "        fig.canvas.height / fig.ratio\n",
       "    );\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function (fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function (fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch (cursor) {\n",
       "        case 0:\n",
       "            cursor = 'pointer';\n",
       "            break;\n",
       "        case 1:\n",
       "            cursor = 'default';\n",
       "            break;\n",
       "        case 2:\n",
       "            cursor = 'crosshair';\n",
       "            break;\n",
       "        case 3:\n",
       "            cursor = 'move';\n",
       "            break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_message = function (fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function (fig, _msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function (fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_history_buttons = function (fig, msg) {\n",
       "    for (var key in msg) {\n",
       "        if (!(key in fig.buttons)) {\n",
       "            continue;\n",
       "        }\n",
       "        fig.buttons[key].disabled = !msg[key];\n",
       "        fig.buttons[key].setAttribute('aria-disabled', !msg[key]);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_navigate_mode = function (fig, msg) {\n",
       "    if (msg['mode'] === 'PAN') {\n",
       "        fig.buttons['Pan'].classList.add('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    } else if (msg['mode'] === 'ZOOM') {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.add('active');\n",
       "    } else {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message('ack', {});\n",
       "};\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function (fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            /* 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",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                evt.data\n",
       "            );\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        } else if (\n",
       "            typeof evt.data === 'string' &&\n",
       "            evt.data.slice(0, 21) === 'data:image/png;base64'\n",
       "        ) {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig['handle_' + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\n",
       "                \"No handler for the '\" + msg_type + \"' message type: \",\n",
       "                msg\n",
       "            );\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\n",
       "                    \"Exception inside the 'handler_\" + msg_type + \"' callback:\",\n",
       "                    e,\n",
       "                    e.stack,\n",
       "                    msg\n",
       "                );\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "};\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function (e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e) {\n",
       "        e = window.event;\n",
       "    }\n",
       "    if (e.target) {\n",
       "        targ = e.target;\n",
       "    } else if (e.srcElement) {\n",
       "        targ = e.srcElement;\n",
       "    }\n",
       "    if (targ.nodeType === 3) {\n",
       "        // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "    }\n",
       "\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    var boundingRect = targ.getBoundingClientRect();\n",
       "    var x = e.pageX - (boundingRect.left + document.body.scrollLeft);\n",
       "    var y = e.pageY - (boundingRect.top + document.body.scrollTop);\n",
       "\n",
       "    return { x: x, y: y };\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys(original) {\n",
       "    return Object.keys(original).reduce(function (obj, key) {\n",
       "        if (typeof original[key] !== 'object') {\n",
       "            obj[key] = original[key];\n",
       "        }\n",
       "        return obj;\n",
       "    }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function (event, name) {\n",
       "    var canvas_pos = mpl.findpos(event);\n",
       "\n",
       "    if (name === 'button_press') {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * this.ratio;\n",
       "    var y = canvas_pos.y * this.ratio;\n",
       "\n",
       "    this.send_message(name, {\n",
       "        x: x,\n",
       "        y: y,\n",
       "        button: event.button,\n",
       "        step: event.step,\n",
       "        guiEvent: simpleKeys(event),\n",
       "    });\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (_event, _name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.key_event = function (event, name) {\n",
       "    // Prevent repeat events\n",
       "    if (name === 'key_press') {\n",
       "        if (event.which === this._key) {\n",
       "            return;\n",
       "        } else {\n",
       "            this._key = event.which;\n",
       "        }\n",
       "    }\n",
       "    if (name === 'key_release') {\n",
       "        this._key = null;\n",
       "    }\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.which !== 17) {\n",
       "        value += 'ctrl+';\n",
       "    }\n",
       "    if (event.altKey && event.which !== 18) {\n",
       "        value += 'alt+';\n",
       "    }\n",
       "    if (event.shiftKey && event.which !== 16) {\n",
       "        value += 'shift+';\n",
       "    }\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, guiEvent: simpleKeys(event) });\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function (name) {\n",
       "    if (name === 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message('toolbar_button', { name: name });\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function (tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "\n",
       "///////////////// REMAINING CONTENT GENERATED BY embed_js.py /////////////////\n",
       "// prettier-ignore\n",
       "var _JSXTOOLS_RESIZE_OBSERVER=function(A){var t,i=new WeakMap,n=new WeakMap,a=new WeakMap,r=new WeakMap,o=new Set;function s(e){if(!(this instanceof s))throw new TypeError(\"Constructor requires 'new' operator\");i.set(this,e)}function h(){throw new TypeError(\"Function is not a constructor\")}function c(e,t,i,n){e=0 in arguments?Number(arguments[0]):0,t=1 in arguments?Number(arguments[1]):0,i=2 in arguments?Number(arguments[2]):0,n=3 in arguments?Number(arguments[3]):0,this.right=(this.x=this.left=e)+(this.width=i),this.bottom=(this.y=this.top=t)+(this.height=n),Object.freeze(this)}function d(){t=requestAnimationFrame(d);var s=new WeakMap,p=new Set;o.forEach((function(t){r.get(t).forEach((function(i){var r=t instanceof window.SVGElement,o=a.get(t),d=r?0:parseFloat(o.paddingTop),f=r?0:parseFloat(o.paddingRight),l=r?0:parseFloat(o.paddingBottom),u=r?0:parseFloat(o.paddingLeft),g=r?0:parseFloat(o.borderTopWidth),m=r?0:parseFloat(o.borderRightWidth),w=r?0:parseFloat(o.borderBottomWidth),b=u+f,F=d+l,v=(r?0:parseFloat(o.borderLeftWidth))+m,W=g+w,y=r?0:t.offsetHeight-W-t.clientHeight,E=r?0:t.offsetWidth-v-t.clientWidth,R=b+v,z=F+W,M=r?t.width:parseFloat(o.width)-R-E,O=r?t.height:parseFloat(o.height)-z-y;if(n.has(t)){var k=n.get(t);if(k[0]===M&&k[1]===O)return}n.set(t,[M,O]);var S=Object.create(h.prototype);S.target=t,S.contentRect=new c(u,d,M,O),s.has(i)||(s.set(i,[]),p.add(i)),s.get(i).push(S)}))})),p.forEach((function(e){i.get(e).call(e,s.get(e),e)}))}return s.prototype.observe=function(i){if(i instanceof window.Element){r.has(i)||(r.set(i,new Set),o.add(i),a.set(i,window.getComputedStyle(i)));var n=r.get(i);n.has(this)||n.add(this),cancelAnimationFrame(t),t=requestAnimationFrame(d)}},s.prototype.unobserve=function(i){if(i instanceof window.Element&&r.has(i)){var n=r.get(i);n.has(this)&&(n.delete(this),n.size||(r.delete(i),o.delete(i))),n.size||r.delete(i),o.size||cancelAnimationFrame(t)}},A.DOMRectReadOnly=c,A.ResizeObserver=s,A.ResizeObserverEntry=h,A}; // eslint-disable-line\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Left button pans, Right button zooms\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";/* global mpl */\n",
       "\n",
       "var comm_websocket_adapter = function (comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.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 = document.getElementById(id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm);\n",
       "\n",
       "    function ondownload(figure, _format) {\n",
       "        window.open(figure.canvas.toDataURL());\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy, ondownload, element);\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element;\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error('Failed to find cell for figure', id, fig);\n",
       "        return;\n",
       "    }\n",
       "    fig.cell_info[0].output_area.element.on(\n",
       "        'cleared',\n",
       "        { fig: fig },\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function (fig, msg) {\n",
       "    var width = fig.canvas.width / fig.ratio;\n",
       "    fig.cell_info[0].output_area.element.off(\n",
       "        'cleared',\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "    fig.resizeObserverInstance.unobserve(fig.canvas_div);\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable();\n",
       "    fig.parent_element.innerHTML =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "    fig.close_ws(fig, msg);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.close_ws = function (fig, msg) {\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function (_remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width / this.ratio;\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message('ack', {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () {\n",
       "        fig.push_to_output();\n",
       "    }, 1000);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'btn-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'btn-group';\n",
       "    var button;\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'btn-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        button = fig.buttons[name] = document.createElement('button');\n",
       "        button.classList = 'btn btn-default';\n",
       "        button.href = '#';\n",
       "        button.title = name;\n",
       "        button.innerHTML = '<i class=\"fa ' + image + ' fa-lg\"></i>';\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message pull-right';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = document.createElement('div');\n",
       "    buttongrp.classList = 'btn-group inline pull-right';\n",
       "    button = document.createElement('button');\n",
       "    button.classList = 'btn btn-mini btn-primary';\n",
       "    button.href = '#';\n",
       "    button.title = 'Stop Interaction';\n",
       "    button.innerHTML = '<i class=\"fa fa-power-off icon-remove icon-large\"></i>';\n",
       "    button.addEventListener('click', function (_evt) {\n",
       "        fig.handle_close(fig, {});\n",
       "    });\n",
       "    button.addEventListener(\n",
       "        'mouseover',\n",
       "        on_mouseover_closure('Stop Interaction')\n",
       "    );\n",
       "    buttongrp.appendChild(button);\n",
       "    var titlebar = this.root.querySelector('.ui-dialog-titlebar');\n",
       "    titlebar.insertBefore(buttongrp, titlebar.firstChild);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._remove_fig_handler = function (event) {\n",
       "    var fig = event.data.fig;\n",
       "    if (event.target !== this) {\n",
       "        // Ignore bubbled events from children.\n",
       "        return;\n",
       "    }\n",
       "    fig.close_ws(fig, {});\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (el) {\n",
       "    el.style.boxSizing = 'content-box'; // override notebook setting of border-box.\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (el) {\n",
       "    // this is important to make the div 'focusable\n",
       "    el.setAttribute('tabindex', 0);\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    } else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (event, _name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager) {\n",
       "        manager = IPython.keyboard_manager;\n",
       "    }\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which === 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "};\n",
       "\n",
       "mpl.find_output_cell = function (html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i = 0; i < ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code') {\n",
       "            for (var j = 0; j < cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] === html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "};\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel !== null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target(\n",
       "        'matplotlib',\n",
       "        mpl.mpl_figure_comm\n",
       "    );\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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\" width=\"640\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "### Code for 1 c) rerun the plot with the correction made\n",
    "plt.figure()\n",
    "\n",
    "plt.scatter((data_copy.loc[data_copy['Ship_type'] == \"Cargo\"])[\"Length\"],\n",
    "            (data_copy.loc[data_copy['Ship_type'] == \"Cargo\"])[\"Gross_tonnage\"],\n",
    "            color='red',label=\"Cargo\")\n",
    "\n",
    "\n",
    "plt.scatter((data_copy.loc[data_copy['Ship_type'] == \"Tanker\"])[\"Length\"],\n",
    "            (data_copy.loc[data_copy['Ship_type'] == \"Tanker\"])[\"Gross_tonnage\"],\n",
    "            color='blue',label=\"Tanker\")\n",
    "\n",
    "plt.scatter((data_copy.loc[data_copy['Ship_type'] == \"Tug\"])[\"Length\"],\n",
    "            (data_copy.loc[data_copy['Ship_type'] == \"Tug\"])[\"Gross_tonnage\"],\n",
    "            color='orange',label=\"Tug\")\n",
    "\n",
    "plt.xlabel('Length')\n",
    "plt.ylabel('Gross_tonnage')\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "SPBpWAZNoDw0"
   },
   "source": [
    "#### <font color = dimgrey> d) Exploit your domain knowledge and transform to improve the expected results and/or to avoid redundancy. \n",
    "- Find out what gross tonnage means. Make some transformation to Length values to acquire a linear relationship between the transformed length and Gross tonnage values. Plot the situation after the transformation **1p** \n",
    "- You can find the needed information in for example https://en.wikipedia.org/wiki/Gross_tonnage. Look at the formula and think how you can get the two variables similarly scaled. If you are having trouble, just experiment with different transformations before asking help. By plotting you can see what the relationship looks like after a transformation you have tried\n",
    "  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "id": "Zjf5fmb3oDw1",
    "outputId": "9eea64d6-470d-42fb-bd97-282b786c798f"
   },
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "/* global mpl */\n",
       "window.mpl = {};\n",
       "\n",
       "mpl.get_websocket_type = function () {\n",
       "    if (typeof WebSocket !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof MozWebSocket !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert(\n",
       "            'Your browser does not have WebSocket support. ' +\n",
       "                'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "                'Firefox 4 and 5 are also supported but you ' +\n",
       "                'have to enable WebSockets in about:config.'\n",
       "        );\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure = function (figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = this.ws.binaryType !== undefined;\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById('mpl-warnings');\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent =\n",
       "                'This browser does not support binary websocket messages. ' +\n",
       "                'Performance may be slow.';\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = document.createElement('div');\n",
       "    this.root.setAttribute('style', 'display: inline-block');\n",
       "    this._root_extra_style(this.root);\n",
       "\n",
       "    parent_element.appendChild(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen = function () {\n",
       "        fig.send_message('supports_binary', { value: fig.supports_binary });\n",
       "        fig.send_message('send_image_mode', {});\n",
       "        if (fig.ratio !== 1) {\n",
       "            fig.send_message('set_dpi_ratio', { dpi_ratio: fig.ratio });\n",
       "        }\n",
       "        fig.send_message('refresh', {});\n",
       "    };\n",
       "\n",
       "    this.imageObj.onload = function () {\n",
       "        if (fig.image_mode === 'full') {\n",
       "            // Full images could contain transparency (where diff images\n",
       "            // almost always do), so we need to clear the canvas so that\n",
       "            // there is no ghosting.\n",
       "            fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "        }\n",
       "        fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "    };\n",
       "\n",
       "    this.imageObj.onunload = function () {\n",
       "        fig.ws.close();\n",
       "    };\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_header = function () {\n",
       "    var titlebar = document.createElement('div');\n",
       "    titlebar.classList =\n",
       "        'ui-dialog-titlebar ui-widget-header ui-corner-all ui-helper-clearfix';\n",
       "    var titletext = document.createElement('div');\n",
       "    titletext.classList = 'ui-dialog-title';\n",
       "    titletext.setAttribute(\n",
       "        'style',\n",
       "        'width: 100%; text-align: center; padding: 3px;'\n",
       "    );\n",
       "    titlebar.appendChild(titletext);\n",
       "    this.root.appendChild(titlebar);\n",
       "    this.header = titletext;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = (this.canvas_div = document.createElement('div'));\n",
       "    canvas_div.setAttribute(\n",
       "        'style',\n",
       "        'border: 1px solid #ddd;' +\n",
       "            'box-sizing: content-box;' +\n",
       "            'clear: both;' +\n",
       "            'min-height: 1px;' +\n",
       "            'min-width: 1px;' +\n",
       "            'outline: 0;' +\n",
       "            'overflow: hidden;' +\n",
       "            'position: relative;' +\n",
       "            'resize: both;'\n",
       "    );\n",
       "\n",
       "    function on_keyboard_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.key_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    canvas_div.addEventListener(\n",
       "        'keydown',\n",
       "        on_keyboard_event_closure('key_press')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'keyup',\n",
       "        on_keyboard_event_closure('key_release')\n",
       "    );\n",
       "\n",
       "    this._canvas_extra_style(canvas_div);\n",
       "    this.root.appendChild(canvas_div);\n",
       "\n",
       "    var canvas = (this.canvas = document.createElement('canvas'));\n",
       "    canvas.classList.add('mpl-canvas');\n",
       "    canvas.setAttribute('style', 'box-sizing: content-box;');\n",
       "\n",
       "    this.context = canvas.getContext('2d');\n",
       "\n",
       "    var backingStore =\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        this.context.webkitBackingStorePixelRatio ||\n",
       "        this.context.mozBackingStorePixelRatio ||\n",
       "        this.context.msBackingStorePixelRatio ||\n",
       "        this.context.oBackingStorePixelRatio ||\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        1;\n",
       "\n",
       "    this.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband_canvas = (this.rubberband_canvas = document.createElement(\n",
       "        'canvas'\n",
       "    ));\n",
       "    rubberband_canvas.setAttribute(\n",
       "        'style',\n",
       "        'box-sizing: content-box; position: absolute; left: 0; top: 0; z-index: 1;'\n",
       "    );\n",
       "\n",
       "    // Apply a ponyfill if ResizeObserver is not implemented by browser.\n",
       "    if (this.ResizeObserver === undefined) {\n",
       "        if (window.ResizeObserver !== undefined) {\n",
       "            this.ResizeObserver = window.ResizeObserver;\n",
       "        } else {\n",
       "            var obs = _JSXTOOLS_RESIZE_OBSERVER({});\n",
       "            this.ResizeObserver = obs.ResizeObserver;\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.resizeObserverInstance = new this.ResizeObserver(function (entries) {\n",
       "        var nentries = entries.length;\n",
       "        for (var i = 0; i < nentries; i++) {\n",
       "            var entry = entries[i];\n",
       "            var width, height;\n",
       "            if (entry.contentBoxSize) {\n",
       "                if (entry.contentBoxSize instanceof Array) {\n",
       "                    // Chrome 84 implements new version of spec.\n",
       "                    width = entry.contentBoxSize[0].inlineSize;\n",
       "                    height = entry.contentBoxSize[0].blockSize;\n",
       "                } else {\n",
       "                    // Firefox implements old version of spec.\n",
       "                    width = entry.contentBoxSize.inlineSize;\n",
       "                    height = entry.contentBoxSize.blockSize;\n",
       "                }\n",
       "            } else {\n",
       "                // Chrome <84 implements even older version of spec.\n",
       "                width = entry.contentRect.width;\n",
       "                height = entry.contentRect.height;\n",
       "            }\n",
       "\n",
       "            // Keep the size of the canvas and rubber band canvas in sync with\n",
       "            // the canvas container.\n",
       "            if (entry.devicePixelContentBoxSize) {\n",
       "                // Chrome 84 implements new version of spec.\n",
       "                canvas.setAttribute(\n",
       "                    'width',\n",
       "                    entry.devicePixelContentBoxSize[0].inlineSize\n",
       "                );\n",
       "                canvas.setAttribute(\n",
       "                    'height',\n",
       "                    entry.devicePixelContentBoxSize[0].blockSize\n",
       "                );\n",
       "            } else {\n",
       "                canvas.setAttribute('width', width * fig.ratio);\n",
       "                canvas.setAttribute('height', height * fig.ratio);\n",
       "            }\n",
       "            canvas.setAttribute(\n",
       "                'style',\n",
       "                'width: ' + width + 'px; height: ' + height + 'px;'\n",
       "            );\n",
       "\n",
       "            rubberband_canvas.setAttribute('width', width);\n",
       "            rubberband_canvas.setAttribute('height', height);\n",
       "\n",
       "            // And update the size in Python. We ignore the initial 0/0 size\n",
       "            // that occurs as the element is placed into the DOM, which should\n",
       "            // otherwise not happen due to the minimum size styling.\n",
       "            if (fig.ws.readyState == 1 && width != 0 && height != 0) {\n",
       "                fig.request_resize(width, height);\n",
       "            }\n",
       "        }\n",
       "    });\n",
       "    this.resizeObserverInstance.observe(canvas_div);\n",
       "\n",
       "    function on_mouse_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.mouse_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousedown',\n",
       "        on_mouse_event_closure('button_press')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseup',\n",
       "        on_mouse_event_closure('button_release')\n",
       "    );\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousemove',\n",
       "        on_mouse_event_closure('motion_notify')\n",
       "    );\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseenter',\n",
       "        on_mouse_event_closure('figure_enter')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseleave',\n",
       "        on_mouse_event_closure('figure_leave')\n",
       "    );\n",
       "\n",
       "    canvas_div.addEventListener('wheel', function (event) {\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        on_mouse_event_closure('scroll')(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.appendChild(canvas);\n",
       "    canvas_div.appendChild(rubberband_canvas);\n",
       "\n",
       "    this.rubberband_context = rubberband_canvas.getContext('2d');\n",
       "    this.rubberband_context.strokeStyle = '#000000';\n",
       "\n",
       "    this._resize_canvas = function (width, height, forward) {\n",
       "        if (forward) {\n",
       "            canvas_div.style.width = width + 'px';\n",
       "            canvas_div.style.height = height + 'px';\n",
       "        }\n",
       "    };\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    this.rubberband_canvas.addEventListener('contextmenu', function (_e) {\n",
       "        event.preventDefault();\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus() {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'mpl-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'mpl-button-group';\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'mpl-button-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        var button = (fig.buttons[name] = document.createElement('button'));\n",
       "        button.classList = 'mpl-widget';\n",
       "        button.setAttribute('role', 'button');\n",
       "        button.setAttribute('aria-disabled', 'false');\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "\n",
       "        var icon_img = document.createElement('img');\n",
       "        icon_img.src = '_images/' + image + '.png';\n",
       "        icon_img.srcset = '_images/' + image + '_large.png 2x';\n",
       "        icon_img.alt = tooltip;\n",
       "        button.appendChild(icon_img);\n",
       "\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    var fmt_picker = document.createElement('select');\n",
       "    fmt_picker.classList = 'mpl-widget';\n",
       "    toolbar.appendChild(fmt_picker);\n",
       "    this.format_dropdown = fmt_picker;\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = document.createElement('option');\n",
       "        option.selected = fmt === mpl.default_extension;\n",
       "        option.innerHTML = fmt;\n",
       "        fmt_picker.appendChild(option);\n",
       "    }\n",
       "\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.request_resize = function (x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', { width: x_pixels, height: y_pixels });\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_message = function (type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function () {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({ type: 'draw', figure_id: this.id }));\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function (fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] !== fig.canvas.width || size[1] !== fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1], msg['forward']);\n",
       "        fig.send_message('refresh', {});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function (fig, msg) {\n",
       "    var x0 = msg['x0'] / fig.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / fig.ratio;\n",
       "    var x1 = msg['x1'] / fig.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / fig.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0,\n",
       "        0,\n",
       "        fig.canvas.width / fig.ratio,\n",
       "        fig.canvas.height / fig.ratio\n",
       "    );\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function (fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function (fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch (cursor) {\n",
       "        case 0:\n",
       "            cursor = 'pointer';\n",
       "            break;\n",
       "        case 1:\n",
       "            cursor = 'default';\n",
       "            break;\n",
       "        case 2:\n",
       "            cursor = 'crosshair';\n",
       "            break;\n",
       "        case 3:\n",
       "            cursor = 'move';\n",
       "            break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_message = function (fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function (fig, _msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function (fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_history_buttons = function (fig, msg) {\n",
       "    for (var key in msg) {\n",
       "        if (!(key in fig.buttons)) {\n",
       "            continue;\n",
       "        }\n",
       "        fig.buttons[key].disabled = !msg[key];\n",
       "        fig.buttons[key].setAttribute('aria-disabled', !msg[key]);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_navigate_mode = function (fig, msg) {\n",
       "    if (msg['mode'] === 'PAN') {\n",
       "        fig.buttons['Pan'].classList.add('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    } else if (msg['mode'] === 'ZOOM') {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.add('active');\n",
       "    } else {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message('ack', {});\n",
       "};\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function (fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            /* 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",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                evt.data\n",
       "            );\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        } else if (\n",
       "            typeof evt.data === 'string' &&\n",
       "            evt.data.slice(0, 21) === 'data:image/png;base64'\n",
       "        ) {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig['handle_' + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\n",
       "                \"No handler for the '\" + msg_type + \"' message type: \",\n",
       "                msg\n",
       "            );\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\n",
       "                    \"Exception inside the 'handler_\" + msg_type + \"' callback:\",\n",
       "                    e,\n",
       "                    e.stack,\n",
       "                    msg\n",
       "                );\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "};\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function (e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e) {\n",
       "        e = window.event;\n",
       "    }\n",
       "    if (e.target) {\n",
       "        targ = e.target;\n",
       "    } else if (e.srcElement) {\n",
       "        targ = e.srcElement;\n",
       "    }\n",
       "    if (targ.nodeType === 3) {\n",
       "        // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "    }\n",
       "\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    var boundingRect = targ.getBoundingClientRect();\n",
       "    var x = e.pageX - (boundingRect.left + document.body.scrollLeft);\n",
       "    var y = e.pageY - (boundingRect.top + document.body.scrollTop);\n",
       "\n",
       "    return { x: x, y: y };\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys(original) {\n",
       "    return Object.keys(original).reduce(function (obj, key) {\n",
       "        if (typeof original[key] !== 'object') {\n",
       "            obj[key] = original[key];\n",
       "        }\n",
       "        return obj;\n",
       "    }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function (event, name) {\n",
       "    var canvas_pos = mpl.findpos(event);\n",
       "\n",
       "    if (name === 'button_press') {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * this.ratio;\n",
       "    var y = canvas_pos.y * this.ratio;\n",
       "\n",
       "    this.send_message(name, {\n",
       "        x: x,\n",
       "        y: y,\n",
       "        button: event.button,\n",
       "        step: event.step,\n",
       "        guiEvent: simpleKeys(event),\n",
       "    });\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (_event, _name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.key_event = function (event, name) {\n",
       "    // Prevent repeat events\n",
       "    if (name === 'key_press') {\n",
       "        if (event.which === this._key) {\n",
       "            return;\n",
       "        } else {\n",
       "            this._key = event.which;\n",
       "        }\n",
       "    }\n",
       "    if (name === 'key_release') {\n",
       "        this._key = null;\n",
       "    }\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.which !== 17) {\n",
       "        value += 'ctrl+';\n",
       "    }\n",
       "    if (event.altKey && event.which !== 18) {\n",
       "        value += 'alt+';\n",
       "    }\n",
       "    if (event.shiftKey && event.which !== 16) {\n",
       "        value += 'shift+';\n",
       "    }\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, guiEvent: simpleKeys(event) });\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function (name) {\n",
       "    if (name === 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message('toolbar_button', { name: name });\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function (tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "\n",
       "///////////////// REMAINING CONTENT GENERATED BY embed_js.py /////////////////\n",
       "// prettier-ignore\n",
       "var _JSXTOOLS_RESIZE_OBSERVER=function(A){var t,i=new WeakMap,n=new WeakMap,a=new WeakMap,r=new WeakMap,o=new Set;function s(e){if(!(this instanceof s))throw new TypeError(\"Constructor requires 'new' operator\");i.set(this,e)}function h(){throw new TypeError(\"Function is not a constructor\")}function c(e,t,i,n){e=0 in arguments?Number(arguments[0]):0,t=1 in arguments?Number(arguments[1]):0,i=2 in arguments?Number(arguments[2]):0,n=3 in arguments?Number(arguments[3]):0,this.right=(this.x=this.left=e)+(this.width=i),this.bottom=(this.y=this.top=t)+(this.height=n),Object.freeze(this)}function d(){t=requestAnimationFrame(d);var s=new WeakMap,p=new Set;o.forEach((function(t){r.get(t).forEach((function(i){var r=t instanceof window.SVGElement,o=a.get(t),d=r?0:parseFloat(o.paddingTop),f=r?0:parseFloat(o.paddingRight),l=r?0:parseFloat(o.paddingBottom),u=r?0:parseFloat(o.paddingLeft),g=r?0:parseFloat(o.borderTopWidth),m=r?0:parseFloat(o.borderRightWidth),w=r?0:parseFloat(o.borderBottomWidth),b=u+f,F=d+l,v=(r?0:parseFloat(o.borderLeftWidth))+m,W=g+w,y=r?0:t.offsetHeight-W-t.clientHeight,E=r?0:t.offsetWidth-v-t.clientWidth,R=b+v,z=F+W,M=r?t.width:parseFloat(o.width)-R-E,O=r?t.height:parseFloat(o.height)-z-y;if(n.has(t)){var k=n.get(t);if(k[0]===M&&k[1]===O)return}n.set(t,[M,O]);var S=Object.create(h.prototype);S.target=t,S.contentRect=new c(u,d,M,O),s.has(i)||(s.set(i,[]),p.add(i)),s.get(i).push(S)}))})),p.forEach((function(e){i.get(e).call(e,s.get(e),e)}))}return s.prototype.observe=function(i){if(i instanceof window.Element){r.has(i)||(r.set(i,new Set),o.add(i),a.set(i,window.getComputedStyle(i)));var n=r.get(i);n.has(this)||n.add(this),cancelAnimationFrame(t),t=requestAnimationFrame(d)}},s.prototype.unobserve=function(i){if(i instanceof window.Element&&r.has(i)){var n=r.get(i);n.has(this)&&(n.delete(this),n.size||(r.delete(i),o.delete(i))),n.size||r.delete(i),o.size||cancelAnimationFrame(t)}},A.DOMRectReadOnly=c,A.ResizeObserver=s,A.ResizeObserverEntry=h,A}; // eslint-disable-line\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Left button pans, Right button zooms\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";/* global mpl */\n",
       "\n",
       "var comm_websocket_adapter = function (comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.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 = document.getElementById(id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm);\n",
       "\n",
       "    function ondownload(figure, _format) {\n",
       "        window.open(figure.canvas.toDataURL());\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy, ondownload, element);\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element;\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error('Failed to find cell for figure', id, fig);\n",
       "        return;\n",
       "    }\n",
       "    fig.cell_info[0].output_area.element.on(\n",
       "        'cleared',\n",
       "        { fig: fig },\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function (fig, msg) {\n",
       "    var width = fig.canvas.width / fig.ratio;\n",
       "    fig.cell_info[0].output_area.element.off(\n",
       "        'cleared',\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "    fig.resizeObserverInstance.unobserve(fig.canvas_div);\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable();\n",
       "    fig.parent_element.innerHTML =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "    fig.close_ws(fig, msg);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.close_ws = function (fig, msg) {\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function (_remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width / this.ratio;\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message('ack', {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () {\n",
       "        fig.push_to_output();\n",
       "    }, 1000);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'btn-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'btn-group';\n",
       "    var button;\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'btn-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        button = fig.buttons[name] = document.createElement('button');\n",
       "        button.classList = 'btn btn-default';\n",
       "        button.href = '#';\n",
       "        button.title = name;\n",
       "        button.innerHTML = '<i class=\"fa ' + image + ' fa-lg\"></i>';\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message pull-right';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = document.createElement('div');\n",
       "    buttongrp.classList = 'btn-group inline pull-right';\n",
       "    button = document.createElement('button');\n",
       "    button.classList = 'btn btn-mini btn-primary';\n",
       "    button.href = '#';\n",
       "    button.title = 'Stop Interaction';\n",
       "    button.innerHTML = '<i class=\"fa fa-power-off icon-remove icon-large\"></i>';\n",
       "    button.addEventListener('click', function (_evt) {\n",
       "        fig.handle_close(fig, {});\n",
       "    });\n",
       "    button.addEventListener(\n",
       "        'mouseover',\n",
       "        on_mouseover_closure('Stop Interaction')\n",
       "    );\n",
       "    buttongrp.appendChild(button);\n",
       "    var titlebar = this.root.querySelector('.ui-dialog-titlebar');\n",
       "    titlebar.insertBefore(buttongrp, titlebar.firstChild);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._remove_fig_handler = function (event) {\n",
       "    var fig = event.data.fig;\n",
       "    if (event.target !== this) {\n",
       "        // Ignore bubbled events from children.\n",
       "        return;\n",
       "    }\n",
       "    fig.close_ws(fig, {});\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (el) {\n",
       "    el.style.boxSizing = 'content-box'; // override notebook setting of border-box.\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (el) {\n",
       "    // this is important to make the div 'focusable\n",
       "    el.setAttribute('tabindex', 0);\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    } else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (event, _name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager) {\n",
       "        manager = IPython.keyboard_manager;\n",
       "    }\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which === 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "};\n",
       "\n",
       "mpl.find_output_cell = function (html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i = 0; i < ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code') {\n",
       "            for (var j = 0; j < cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] === html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "};\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel !== null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target(\n",
       "        'matplotlib',\n",
       "        mpl.mpl_figure_comm\n",
       "    );\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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\" width=\"640\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "### Code for 1d\n",
    "\n",
    "#given the Wikipedia link, in order to have a liniar plot for gross tonnage, we would need the volume of the ship. Since\n",
    "#we only have the Length, the closest thing we can do is treat the ship like a cube and compute the volume from Length\n",
    "new_len= data_copy['Length']**3\n",
    "\n",
    "plt.figure()\n",
    "plt.xlabel(\"Cube of Length\")\n",
    "plt.ylabel(\"Gross tonnage\")\n",
    "plt.scatter(new_len,data_copy['Gross_tonnage'], color='green')\n",
    "plt.show()\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>MMSI</th>\n",
       "      <th>Speed</th>\n",
       "      <th>COG</th>\n",
       "      <th>Destination</th>\n",
       "      <th>Ship_type</th>\n",
       "      <th>Gross_tonnage</th>\n",
       "      <th>Length_cubed</th>\n",
       "      <th>Breadth</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>212209000</td>\n",
       "      <td>10.1377</td>\n",
       "      <td>64.3074</td>\n",
       "      <td>1.0</td>\n",
       "      <td>Cargo</td>\n",
       "      <td>3416</td>\n",
       "      <td>8.549406e+05</td>\n",
       "      <td>15.34</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>212436000</td>\n",
       "      <td>13.5256</td>\n",
       "      <td>77.0755</td>\n",
       "      <td>1.0</td>\n",
       "      <td>Tanker</td>\n",
       "      <td>6280</td>\n",
       "      <td>1.597510e+06</td>\n",
       "      <td>18.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>219082000</td>\n",
       "      <td>9.9416</td>\n",
       "      <td>74.6762</td>\n",
       "      <td>1.0</td>\n",
       "      <td>Tanker</td>\n",
       "      <td>9980</td>\n",
       "      <td>2.815167e+06</td>\n",
       "      <td>21.90</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>219083000</td>\n",
       "      <td>11.6038</td>\n",
       "      <td>74.7529</td>\n",
       "      <td>1.0</td>\n",
       "      <td>Tanker</td>\n",
       "      <td>9980</td>\n",
       "      <td>2.815167e+06</td>\n",
       "      <td>21.60</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>219426000</td>\n",
       "      <td>11.9203</td>\n",
       "      <td>56.3253</td>\n",
       "      <td>1.0</td>\n",
       "      <td>Tanker</td>\n",
       "      <td>3219</td>\n",
       "      <td>9.970030e+05</td>\n",
       "      <td>15.00</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "        MMSI    Speed      COG Destination Ship_type  Gross_tonnage  \\\n",
       "0  212209000  10.1377  64.3074         1.0     Cargo           3416   \n",
       "1  212436000  13.5256  77.0755         1.0    Tanker           6280   \n",
       "2  219082000   9.9416  74.6762         1.0    Tanker           9980   \n",
       "3  219083000  11.6038  74.7529         1.0    Tanker           9980   \n",
       "4  219426000  11.9203  56.3253         1.0    Tanker           3219   \n",
       "\n",
       "   Length_cubed  Breadth  \n",
       "0  8.549406e+05    15.34  \n",
       "1  1.597510e+06    18.00  \n",
       "2  2.815167e+06    21.90  \n",
       "3  2.815167e+06    21.60  \n",
       "4  9.970030e+05    15.00  "
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#make a new copy of the data frame to make the changes\n",
    "data_copy2 = data_copy.copy(deep=True)\n",
    "data_copy2 = data_copy2.rename(columns={'Length': 'Length_cubed'})\n",
    "data_copy2['Length_cubed'] = new_len\n",
    "data_copy2.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "M5-BsrlKoDw1"
   },
   "source": [
    "<font color = red> \\*** Answer here *** what does gross tonnage mean? What transformation did you do? Why is it useful? \n",
    "<br><br> Gross tonnage is a ship attribute that represents the overall internal volume enclosed by the margins of a ship. It is a non-linear measure for the internal volume of the ship and is computed by multiplying the ship's total volume in cubic metres and a multiplier based on the ship volume. Given the fact that we had to linearise the relation between the Gross_tonnage and the ship Length, I chose to treat the volume of the ship like a cube and compute it by cubing the Length attribute. If the correlation between these two values stands as in the definition, then we can make some assumptions based on the data, for example, if the Length and, implicitly, the cubed Length are increasing, then the Gross_tonnage should be increasing as well.<br><br>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "_0oDznjPoDw1"
   },
   "source": [
    "#### <font color = dimgrey> e) The numerical variables have quite different ranges. To ensure that all variables can have the same importance on the model, perform Z-score standardization. Perform it for speed, transformed length, and breadth **1p**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "id": "17g51D6NoDw2",
    "outputId": "ccfcf1cd-459c-4a8a-f3cd-ab711c1f9aea"
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     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>MMSI</th>\n",
       "      <th>Speed</th>\n",
       "      <th>COG</th>\n",
       "      <th>Destination</th>\n",
       "      <th>Ship_type</th>\n",
       "      <th>Gross_tonnage</th>\n",
       "      <th>Length_cubed</th>\n",
       "      <th>Breadth</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>212209000</td>\n",
       "      <td>-0.161299</td>\n",
       "      <td>64.3074</td>\n",
       "      <td>1.0</td>\n",
       "      <td>Cargo</td>\n",
       "      <td>3416</td>\n",
       "      <td>-0.569303</td>\n",
       "      <td>-0.489104</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>212436000</td>\n",
       "      <td>1.580209</td>\n",
       "      <td>77.0755</td>\n",
       "      <td>1.0</td>\n",
       "      <td>Tanker</td>\n",
       "      <td>6280</td>\n",
       "      <td>-0.405892</td>\n",
       "      <td>-0.220696</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>219082000</td>\n",
       "      <td>-0.262102</td>\n",
       "      <td>74.6762</td>\n",
       "      <td>1.0</td>\n",
       "      <td>Tanker</td>\n",
       "      <td>9980</td>\n",
       "      <td>-0.137933</td>\n",
       "      <td>0.172834</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>219083000</td>\n",
       "      <td>0.592331</td>\n",
       "      <td>74.7529</td>\n",
       "      <td>1.0</td>\n",
       "      <td>Tanker</td>\n",
       "      <td>9980</td>\n",
       "      <td>-0.137933</td>\n",
       "      <td>0.142563</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>219426000</td>\n",
       "      <td>0.755024</td>\n",
       "      <td>56.3253</td>\n",
       "      <td>1.0</td>\n",
       "      <td>Tanker</td>\n",
       "      <td>3219</td>\n",
       "      <td>-0.538041</td>\n",
       "      <td>-0.523412</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "        MMSI     Speed      COG Destination Ship_type  Gross_tonnage  \\\n",
       "0  212209000 -0.161299  64.3074         1.0     Cargo           3416   \n",
       "1  212436000  1.580209  77.0755         1.0    Tanker           6280   \n",
       "2  219082000 -0.262102  74.6762         1.0    Tanker           9980   \n",
       "3  219083000  0.592331  74.7529         1.0    Tanker           9980   \n",
       "4  219426000  0.755024  56.3253         1.0    Tanker           3219   \n",
       "\n",
       "   Length_cubed   Breadth  \n",
       "0     -0.569303 -0.489104  \n",
       "1     -0.405892 -0.220696  \n",
       "2     -0.137933  0.172834  \n",
       "3     -0.137933  0.142563  \n",
       "4     -0.538041 -0.523412  "
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "### Code for 1e\n",
    "\n",
    "data_copy2[['Speed', 'Length_cubed', 'Breadth']] = StandardScaler().fit_transform(data_copy2[['Speed', 'Length_cubed', 'Breadth']])\n",
    "data_copy2.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "______________\n",
    "## <font color = lightcoral>2. Classification </font> "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "7CqWZYx2oDw3"
   },
   "source": [
    "Predict the **ship type** using **speed, destination, transformed length, and breadth** as features. Find an estimation for the classification accuracy (number of correctly classified ships to the total number of ships) using **random training and test sets**. <br>\n",
    "\n",
    "Below is a summary of exercises for part 2\n",
    "- a) Produce training and test data **1p**\n",
    "     - Gather the normalized features and one-hot-coded destination columns as array __X__ (input variables), and the ship type as array **y** (output variable)     \n",
    "     - Divide the data randomly into training (80%) and test (20%) sets\n",
    "     - Do you need to use stratification? **Explain your decision**\n",
    "- b) Train the model and test its performance **1p**\n",
    "     - Use kNN classifier with k=3\n",
    "     - Print out the confusion matrix. How does the model perform with different ship types?\n",
    "     - What is the (total) classification accuracy?\n",
    " - Repeat the calculation 1000 times with different split of training/test data, and make a histogram of the results for classification accuracy **1p**\n",
    " - Discuss your results **1p**\n",
    " \n",
    " ______________"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "mfq_3_WNoDw3"
   },
   "source": [
    "#### <font color = lightcoral> a) Produce training and test data 1p\n",
    "- Gather the normalized features and one-hot-coded destination columns as array X (input variables), and the ship type as array y (output variable)\n",
    "- Divide the data randomly into training (80%) and test (20%) sets\n",
    "- Do you need to use stratification? **Explain your decision**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "id": "h5p9ZVQBoDw3"
   },
   "outputs": [
    {
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       "\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",
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       "\n",
       "mpl.figure.prototype.send_draw_message = function () {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({ type: 'draw', figure_id: this.id }));\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function (fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] !== fig.canvas.width || size[1] !== fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1], msg['forward']);\n",
       "        fig.send_message('refresh', {});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function (fig, msg) {\n",
       "    var x0 = msg['x0'] / fig.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / fig.ratio;\n",
       "    var x1 = msg['x1'] / fig.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / fig.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0,\n",
       "        0,\n",
       "        fig.canvas.width / fig.ratio,\n",
       "        fig.canvas.height / fig.ratio\n",
       "    );\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function (fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function (fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch (cursor) {\n",
       "        case 0:\n",
       "            cursor = 'pointer';\n",
       "            break;\n",
       "        case 1:\n",
       "            cursor = 'default';\n",
       "            break;\n",
       "        case 2:\n",
       "            cursor = 'crosshair';\n",
       "            break;\n",
       "        case 3:\n",
       "            cursor = 'move';\n",
       "            break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_message = function (fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function (fig, _msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function (fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_history_buttons = function (fig, msg) {\n",
       "    for (var key in msg) {\n",
       "        if (!(key in fig.buttons)) {\n",
       "            continue;\n",
       "        }\n",
       "        fig.buttons[key].disabled = !msg[key];\n",
       "        fig.buttons[key].setAttribute('aria-disabled', !msg[key]);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_navigate_mode = function (fig, msg) {\n",
       "    if (msg['mode'] === 'PAN') {\n",
       "        fig.buttons['Pan'].classList.add('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    } else if (msg['mode'] === 'ZOOM') {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.add('active');\n",
       "    } else {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message('ack', {});\n",
       "};\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function (fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            /* 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",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                evt.data\n",
       "            );\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        } else if (\n",
       "            typeof evt.data === 'string' &&\n",
       "            evt.data.slice(0, 21) === 'data:image/png;base64'\n",
       "        ) {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig['handle_' + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\n",
       "                \"No handler for the '\" + msg_type + \"' message type: \",\n",
       "                msg\n",
       "            );\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\n",
       "                    \"Exception inside the 'handler_\" + msg_type + \"' callback:\",\n",
       "                    e,\n",
       "                    e.stack,\n",
       "                    msg\n",
       "                );\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "};\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function (e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e) {\n",
       "        e = window.event;\n",
       "    }\n",
       "    if (e.target) {\n",
       "        targ = e.target;\n",
       "    } else if (e.srcElement) {\n",
       "        targ = e.srcElement;\n",
       "    }\n",
       "    if (targ.nodeType === 3) {\n",
       "        // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "    }\n",
       "\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    var boundingRect = targ.getBoundingClientRect();\n",
       "    var x = e.pageX - (boundingRect.left + document.body.scrollLeft);\n",
       "    var y = e.pageY - (boundingRect.top + document.body.scrollTop);\n",
       "\n",
       "    return { x: x, y: y };\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys(original) {\n",
       "    return Object.keys(original).reduce(function (obj, key) {\n",
       "        if (typeof original[key] !== 'object') {\n",
       "            obj[key] = original[key];\n",
       "        }\n",
       "        return obj;\n",
       "    }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function (event, name) {\n",
       "    var canvas_pos = mpl.findpos(event);\n",
       "\n",
       "    if (name === 'button_press') {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * this.ratio;\n",
       "    var y = canvas_pos.y * this.ratio;\n",
       "\n",
       "    this.send_message(name, {\n",
       "        x: x,\n",
       "        y: y,\n",
       "        button: event.button,\n",
       "        step: event.step,\n",
       "        guiEvent: simpleKeys(event),\n",
       "    });\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (_event, _name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.key_event = function (event, name) {\n",
       "    // Prevent repeat events\n",
       "    if (name === 'key_press') {\n",
       "        if (event.which === this._key) {\n",
       "            return;\n",
       "        } else {\n",
       "            this._key = event.which;\n",
       "        }\n",
       "    }\n",
       "    if (name === 'key_release') {\n",
       "        this._key = null;\n",
       "    }\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.which !== 17) {\n",
       "        value += 'ctrl+';\n",
       "    }\n",
       "    if (event.altKey && event.which !== 18) {\n",
       "        value += 'alt+';\n",
       "    }\n",
       "    if (event.shiftKey && event.which !== 16) {\n",
       "        value += 'shift+';\n",
       "    }\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, guiEvent: simpleKeys(event) });\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function (name) {\n",
       "    if (name === 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message('toolbar_button', { name: name });\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function (tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "\n",
       "///////////////// REMAINING CONTENT GENERATED BY embed_js.py /////////////////\n",
       "// prettier-ignore\n",
       "var _JSXTOOLS_RESIZE_OBSERVER=function(A){var t,i=new WeakMap,n=new WeakMap,a=new WeakMap,r=new WeakMap,o=new Set;function s(e){if(!(this instanceof s))throw new TypeError(\"Constructor requires 'new' operator\");i.set(this,e)}function h(){throw new TypeError(\"Function is not a constructor\")}function c(e,t,i,n){e=0 in arguments?Number(arguments[0]):0,t=1 in arguments?Number(arguments[1]):0,i=2 in arguments?Number(arguments[2]):0,n=3 in arguments?Number(arguments[3]):0,this.right=(this.x=this.left=e)+(this.width=i),this.bottom=(this.y=this.top=t)+(this.height=n),Object.freeze(this)}function d(){t=requestAnimationFrame(d);var s=new WeakMap,p=new Set;o.forEach((function(t){r.get(t).forEach((function(i){var r=t instanceof window.SVGElement,o=a.get(t),d=r?0:parseFloat(o.paddingTop),f=r?0:parseFloat(o.paddingRight),l=r?0:parseFloat(o.paddingBottom),u=r?0:parseFloat(o.paddingLeft),g=r?0:parseFloat(o.borderTopWidth),m=r?0:parseFloat(o.borderRightWidth),w=r?0:parseFloat(o.borderBottomWidth),b=u+f,F=d+l,v=(r?0:parseFloat(o.borderLeftWidth))+m,W=g+w,y=r?0:t.offsetHeight-W-t.clientHeight,E=r?0:t.offsetWidth-v-t.clientWidth,R=b+v,z=F+W,M=r?t.width:parseFloat(o.width)-R-E,O=r?t.height:parseFloat(o.height)-z-y;if(n.has(t)){var k=n.get(t);if(k[0]===M&&k[1]===O)return}n.set(t,[M,O]);var S=Object.create(h.prototype);S.target=t,S.contentRect=new c(u,d,M,O),s.has(i)||(s.set(i,[]),p.add(i)),s.get(i).push(S)}))})),p.forEach((function(e){i.get(e).call(e,s.get(e),e)}))}return s.prototype.observe=function(i){if(i instanceof window.Element){r.has(i)||(r.set(i,new Set),o.add(i),a.set(i,window.getComputedStyle(i)));var n=r.get(i);n.has(this)||n.add(this),cancelAnimationFrame(t),t=requestAnimationFrame(d)}},s.prototype.unobserve=function(i){if(i instanceof window.Element&&r.has(i)){var n=r.get(i);n.has(this)&&(n.delete(this),n.size||(r.delete(i),o.delete(i))),n.size||r.delete(i),o.size||cancelAnimationFrame(t)}},A.DOMRectReadOnly=c,A.ResizeObserver=s,A.ResizeObserverEntry=h,A}; // eslint-disable-line\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Left button pans, Right button zooms\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";/* global mpl */\n",
       "\n",
       "var comm_websocket_adapter = function (comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.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 = document.getElementById(id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm);\n",
       "\n",
       "    function ondownload(figure, _format) {\n",
       "        window.open(figure.canvas.toDataURL());\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy, ondownload, element);\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element;\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error('Failed to find cell for figure', id, fig);\n",
       "        return;\n",
       "    }\n",
       "    fig.cell_info[0].output_area.element.on(\n",
       "        'cleared',\n",
       "        { fig: fig },\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function (fig, msg) {\n",
       "    var width = fig.canvas.width / fig.ratio;\n",
       "    fig.cell_info[0].output_area.element.off(\n",
       "        'cleared',\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "    fig.resizeObserverInstance.unobserve(fig.canvas_div);\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable();\n",
       "    fig.parent_element.innerHTML =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "    fig.close_ws(fig, msg);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.close_ws = function (fig, msg) {\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function (_remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width / this.ratio;\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message('ack', {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () {\n",
       "        fig.push_to_output();\n",
       "    }, 1000);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'btn-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'btn-group';\n",
       "    var button;\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'btn-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        button = fig.buttons[name] = document.createElement('button');\n",
       "        button.classList = 'btn btn-default';\n",
       "        button.href = '#';\n",
       "        button.title = name;\n",
       "        button.innerHTML = '<i class=\"fa ' + image + ' fa-lg\"></i>';\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message pull-right';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = document.createElement('div');\n",
       "    buttongrp.classList = 'btn-group inline pull-right';\n",
       "    button = document.createElement('button');\n",
       "    button.classList = 'btn btn-mini btn-primary';\n",
       "    button.href = '#';\n",
       "    button.title = 'Stop Interaction';\n",
       "    button.innerHTML = '<i class=\"fa fa-power-off icon-remove icon-large\"></i>';\n",
       "    button.addEventListener('click', function (_evt) {\n",
       "        fig.handle_close(fig, {});\n",
       "    });\n",
       "    button.addEventListener(\n",
       "        'mouseover',\n",
       "        on_mouseover_closure('Stop Interaction')\n",
       "    );\n",
       "    buttongrp.appendChild(button);\n",
       "    var titlebar = this.root.querySelector('.ui-dialog-titlebar');\n",
       "    titlebar.insertBefore(buttongrp, titlebar.firstChild);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._remove_fig_handler = function (event) {\n",
       "    var fig = event.data.fig;\n",
       "    if (event.target !== this) {\n",
       "        // Ignore bubbled events from children.\n",
       "        return;\n",
       "    }\n",
       "    fig.close_ws(fig, {});\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (el) {\n",
       "    el.style.boxSizing = 'content-box'; // override notebook setting of border-box.\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (el) {\n",
       "    // this is important to make the div 'focusable\n",
       "    el.setAttribute('tabindex', 0);\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    } else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (event, _name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager) {\n",
       "        manager = IPython.keyboard_manager;\n",
       "    }\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which === 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "};\n",
       "\n",
       "mpl.find_output_cell = function (html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i = 0; i < ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code') {\n",
       "            for (var j = 0; j < cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] === html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "};\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel !== null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target(\n",
       "        'matplotlib',\n",
       "        mpl.mpl_figure_comm\n",
       "    );\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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\" width=\"595\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "/* global mpl */\n",
       "window.mpl = {};\n",
       "\n",
       "mpl.get_websocket_type = function () {\n",
       "    if (typeof WebSocket !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof MozWebSocket !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert(\n",
       "            'Your browser does not have WebSocket support. ' +\n",
       "                'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "                'Firefox 4 and 5 are also supported but you ' +\n",
       "                'have to enable WebSockets in about:config.'\n",
       "        );\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure = function (figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = this.ws.binaryType !== undefined;\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById('mpl-warnings');\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent =\n",
       "                'This browser does not support binary websocket messages. ' +\n",
       "                'Performance may be slow.';\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = document.createElement('div');\n",
       "    this.root.setAttribute('style', 'display: inline-block');\n",
       "    this._root_extra_style(this.root);\n",
       "\n",
       "    parent_element.appendChild(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen = function () {\n",
       "        fig.send_message('supports_binary', { value: fig.supports_binary });\n",
       "        fig.send_message('send_image_mode', {});\n",
       "        if (fig.ratio !== 1) {\n",
       "            fig.send_message('set_dpi_ratio', { dpi_ratio: fig.ratio });\n",
       "        }\n",
       "        fig.send_message('refresh', {});\n",
       "    };\n",
       "\n",
       "    this.imageObj.onload = function () {\n",
       "        if (fig.image_mode === 'full') {\n",
       "            // Full images could contain transparency (where diff images\n",
       "            // almost always do), so we need to clear the canvas so that\n",
       "            // there is no ghosting.\n",
       "            fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "        }\n",
       "        fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "    };\n",
       "\n",
       "    this.imageObj.onunload = function () {\n",
       "        fig.ws.close();\n",
       "    };\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_header = function () {\n",
       "    var titlebar = document.createElement('div');\n",
       "    titlebar.classList =\n",
       "        'ui-dialog-titlebar ui-widget-header ui-corner-all ui-helper-clearfix';\n",
       "    var titletext = document.createElement('div');\n",
       "    titletext.classList = 'ui-dialog-title';\n",
       "    titletext.setAttribute(\n",
       "        'style',\n",
       "        'width: 100%; text-align: center; padding: 3px;'\n",
       "    );\n",
       "    titlebar.appendChild(titletext);\n",
       "    this.root.appendChild(titlebar);\n",
       "    this.header = titletext;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = (this.canvas_div = document.createElement('div'));\n",
       "    canvas_div.setAttribute(\n",
       "        'style',\n",
       "        'border: 1px solid #ddd;' +\n",
       "            'box-sizing: content-box;' +\n",
       "            'clear: both;' +\n",
       "            'min-height: 1px;' +\n",
       "            'min-width: 1px;' +\n",
       "            'outline: 0;' +\n",
       "            'overflow: hidden;' +\n",
       "            'position: relative;' +\n",
       "            'resize: both;'\n",
       "    );\n",
       "\n",
       "    function on_keyboard_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.key_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    canvas_div.addEventListener(\n",
       "        'keydown',\n",
       "        on_keyboard_event_closure('key_press')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'keyup',\n",
       "        on_keyboard_event_closure('key_release')\n",
       "    );\n",
       "\n",
       "    this._canvas_extra_style(canvas_div);\n",
       "    this.root.appendChild(canvas_div);\n",
       "\n",
       "    var canvas = (this.canvas = document.createElement('canvas'));\n",
       "    canvas.classList.add('mpl-canvas');\n",
       "    canvas.setAttribute('style', 'box-sizing: content-box;');\n",
       "\n",
       "    this.context = canvas.getContext('2d');\n",
       "\n",
       "    var backingStore =\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        this.context.webkitBackingStorePixelRatio ||\n",
       "        this.context.mozBackingStorePixelRatio ||\n",
       "        this.context.msBackingStorePixelRatio ||\n",
       "        this.context.oBackingStorePixelRatio ||\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        1;\n",
       "\n",
       "    this.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband_canvas = (this.rubberband_canvas = document.createElement(\n",
       "        'canvas'\n",
       "    ));\n",
       "    rubberband_canvas.setAttribute(\n",
       "        'style',\n",
       "        'box-sizing: content-box; position: absolute; left: 0; top: 0; z-index: 1;'\n",
       "    );\n",
       "\n",
       "    // Apply a ponyfill if ResizeObserver is not implemented by browser.\n",
       "    if (this.ResizeObserver === undefined) {\n",
       "        if (window.ResizeObserver !== undefined) {\n",
       "            this.ResizeObserver = window.ResizeObserver;\n",
       "        } else {\n",
       "            var obs = _JSXTOOLS_RESIZE_OBSERVER({});\n",
       "            this.ResizeObserver = obs.ResizeObserver;\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.resizeObserverInstance = new this.ResizeObserver(function (entries) {\n",
       "        var nentries = entries.length;\n",
       "        for (var i = 0; i < nentries; i++) {\n",
       "            var entry = entries[i];\n",
       "            var width, height;\n",
       "            if (entry.contentBoxSize) {\n",
       "                if (entry.contentBoxSize instanceof Array) {\n",
       "                    // Chrome 84 implements new version of spec.\n",
       "                    width = entry.contentBoxSize[0].inlineSize;\n",
       "                    height = entry.contentBoxSize[0].blockSize;\n",
       "                } else {\n",
       "                    // Firefox implements old version of spec.\n",
       "                    width = entry.contentBoxSize.inlineSize;\n",
       "                    height = entry.contentBoxSize.blockSize;\n",
       "                }\n",
       "            } else {\n",
       "                // Chrome <84 implements even older version of spec.\n",
       "                width = entry.contentRect.width;\n",
       "                height = entry.contentRect.height;\n",
       "            }\n",
       "\n",
       "            // Keep the size of the canvas and rubber band canvas in sync with\n",
       "            // the canvas container.\n",
       "            if (entry.devicePixelContentBoxSize) {\n",
       "                // Chrome 84 implements new version of spec.\n",
       "                canvas.setAttribute(\n",
       "                    'width',\n",
       "                    entry.devicePixelContentBoxSize[0].inlineSize\n",
       "                );\n",
       "                canvas.setAttribute(\n",
       "                    'height',\n",
       "                    entry.devicePixelContentBoxSize[0].blockSize\n",
       "                );\n",
       "            } else {\n",
       "                canvas.setAttribute('width', width * fig.ratio);\n",
       "                canvas.setAttribute('height', height * fig.ratio);\n",
       "            }\n",
       "            canvas.setAttribute(\n",
       "                'style',\n",
       "                'width: ' + width + 'px; height: ' + height + 'px;'\n",
       "            );\n",
       "\n",
       "            rubberband_canvas.setAttribute('width', width);\n",
       "            rubberband_canvas.setAttribute('height', height);\n",
       "\n",
       "            // And update the size in Python. We ignore the initial 0/0 size\n",
       "            // that occurs as the element is placed into the DOM, which should\n",
       "            // otherwise not happen due to the minimum size styling.\n",
       "            if (fig.ws.readyState == 1 && width != 0 && height != 0) {\n",
       "                fig.request_resize(width, height);\n",
       "            }\n",
       "        }\n",
       "    });\n",
       "    this.resizeObserverInstance.observe(canvas_div);\n",
       "\n",
       "    function on_mouse_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.mouse_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousedown',\n",
       "        on_mouse_event_closure('button_press')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseup',\n",
       "        on_mouse_event_closure('button_release')\n",
       "    );\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousemove',\n",
       "        on_mouse_event_closure('motion_notify')\n",
       "    );\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseenter',\n",
       "        on_mouse_event_closure('figure_enter')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseleave',\n",
       "        on_mouse_event_closure('figure_leave')\n",
       "    );\n",
       "\n",
       "    canvas_div.addEventListener('wheel', function (event) {\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        on_mouse_event_closure('scroll')(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.appendChild(canvas);\n",
       "    canvas_div.appendChild(rubberband_canvas);\n",
       "\n",
       "    this.rubberband_context = rubberband_canvas.getContext('2d');\n",
       "    this.rubberband_context.strokeStyle = '#000000';\n",
       "\n",
       "    this._resize_canvas = function (width, height, forward) {\n",
       "        if (forward) {\n",
       "            canvas_div.style.width = width + 'px';\n",
       "            canvas_div.style.height = height + 'px';\n",
       "        }\n",
       "    };\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    this.rubberband_canvas.addEventListener('contextmenu', function (_e) {\n",
       "        event.preventDefault();\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus() {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'mpl-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'mpl-button-group';\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'mpl-button-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        var button = (fig.buttons[name] = document.createElement('button'));\n",
       "        button.classList = 'mpl-widget';\n",
       "        button.setAttribute('role', 'button');\n",
       "        button.setAttribute('aria-disabled', 'false');\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "\n",
       "        var icon_img = document.createElement('img');\n",
       "        icon_img.src = '_images/' + image + '.png';\n",
       "        icon_img.srcset = '_images/' + image + '_large.png 2x';\n",
       "        icon_img.alt = tooltip;\n",
       "        button.appendChild(icon_img);\n",
       "\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    var fmt_picker = document.createElement('select');\n",
       "    fmt_picker.classList = 'mpl-widget';\n",
       "    toolbar.appendChild(fmt_picker);\n",
       "    this.format_dropdown = fmt_picker;\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = document.createElement('option');\n",
       "        option.selected = fmt === mpl.default_extension;\n",
       "        option.innerHTML = fmt;\n",
       "        fmt_picker.appendChild(option);\n",
       "    }\n",
       "\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.request_resize = function (x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', { width: x_pixels, height: y_pixels });\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_message = function (type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function () {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({ type: 'draw', figure_id: this.id }));\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function (fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] !== fig.canvas.width || size[1] !== fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1], msg['forward']);\n",
       "        fig.send_message('refresh', {});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function (fig, msg) {\n",
       "    var x0 = msg['x0'] / fig.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / fig.ratio;\n",
       "    var x1 = msg['x1'] / fig.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / fig.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0,\n",
       "        0,\n",
       "        fig.canvas.width / fig.ratio,\n",
       "        fig.canvas.height / fig.ratio\n",
       "    );\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function (fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function (fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch (cursor) {\n",
       "        case 0:\n",
       "            cursor = 'pointer';\n",
       "            break;\n",
       "        case 1:\n",
       "            cursor = 'default';\n",
       "            break;\n",
       "        case 2:\n",
       "            cursor = 'crosshair';\n",
       "            break;\n",
       "        case 3:\n",
       "            cursor = 'move';\n",
       "            break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_message = function (fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function (fig, _msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function (fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_history_buttons = function (fig, msg) {\n",
       "    for (var key in msg) {\n",
       "        if (!(key in fig.buttons)) {\n",
       "            continue;\n",
       "        }\n",
       "        fig.buttons[key].disabled = !msg[key];\n",
       "        fig.buttons[key].setAttribute('aria-disabled', !msg[key]);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_navigate_mode = function (fig, msg) {\n",
       "    if (msg['mode'] === 'PAN') {\n",
       "        fig.buttons['Pan'].classList.add('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    } else if (msg['mode'] === 'ZOOM') {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.add('active');\n",
       "    } else {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message('ack', {});\n",
       "};\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function (fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            /* 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",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                evt.data\n",
       "            );\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        } else if (\n",
       "            typeof evt.data === 'string' &&\n",
       "            evt.data.slice(0, 21) === 'data:image/png;base64'\n",
       "        ) {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig['handle_' + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\n",
       "                \"No handler for the '\" + msg_type + \"' message type: \",\n",
       "                msg\n",
       "            );\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\n",
       "                    \"Exception inside the 'handler_\" + msg_type + \"' callback:\",\n",
       "                    e,\n",
       "                    e.stack,\n",
       "                    msg\n",
       "                );\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "};\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function (e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e) {\n",
       "        e = window.event;\n",
       "    }\n",
       "    if (e.target) {\n",
       "        targ = e.target;\n",
       "    } else if (e.srcElement) {\n",
       "        targ = e.srcElement;\n",
       "    }\n",
       "    if (targ.nodeType === 3) {\n",
       "        // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "    }\n",
       "\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    var boundingRect = targ.getBoundingClientRect();\n",
       "    var x = e.pageX - (boundingRect.left + document.body.scrollLeft);\n",
       "    var y = e.pageY - (boundingRect.top + document.body.scrollTop);\n",
       "\n",
       "    return { x: x, y: y };\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys(original) {\n",
       "    return Object.keys(original).reduce(function (obj, key) {\n",
       "        if (typeof original[key] !== 'object') {\n",
       "            obj[key] = original[key];\n",
       "        }\n",
       "        return obj;\n",
       "    }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function (event, name) {\n",
       "    var canvas_pos = mpl.findpos(event);\n",
       "\n",
       "    if (name === 'button_press') {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * this.ratio;\n",
       "    var y = canvas_pos.y * this.ratio;\n",
       "\n",
       "    this.send_message(name, {\n",
       "        x: x,\n",
       "        y: y,\n",
       "        button: event.button,\n",
       "        step: event.step,\n",
       "        guiEvent: simpleKeys(event),\n",
       "    });\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (_event, _name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.key_event = function (event, name) {\n",
       "    // Prevent repeat events\n",
       "    if (name === 'key_press') {\n",
       "        if (event.which === this._key) {\n",
       "            return;\n",
       "        } else {\n",
       "            this._key = event.which;\n",
       "        }\n",
       "    }\n",
       "    if (name === 'key_release') {\n",
       "        this._key = null;\n",
       "    }\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.which !== 17) {\n",
       "        value += 'ctrl+';\n",
       "    }\n",
       "    if (event.altKey && event.which !== 18) {\n",
       "        value += 'alt+';\n",
       "    }\n",
       "    if (event.shiftKey && event.which !== 16) {\n",
       "        value += 'shift+';\n",
       "    }\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, guiEvent: simpleKeys(event) });\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function (name) {\n",
       "    if (name === 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message('toolbar_button', { name: name });\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function (tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "\n",
       "///////////////// REMAINING CONTENT GENERATED BY embed_js.py /////////////////\n",
       "// prettier-ignore\n",
       "var _JSXTOOLS_RESIZE_OBSERVER=function(A){var t,i=new WeakMap,n=new WeakMap,a=new WeakMap,r=new WeakMap,o=new Set;function s(e){if(!(this instanceof s))throw new TypeError(\"Constructor requires 'new' operator\");i.set(this,e)}function h(){throw new TypeError(\"Function is not a constructor\")}function c(e,t,i,n){e=0 in arguments?Number(arguments[0]):0,t=1 in arguments?Number(arguments[1]):0,i=2 in arguments?Number(arguments[2]):0,n=3 in arguments?Number(arguments[3]):0,this.right=(this.x=this.left=e)+(this.width=i),this.bottom=(this.y=this.top=t)+(this.height=n),Object.freeze(this)}function d(){t=requestAnimationFrame(d);var s=new WeakMap,p=new Set;o.forEach((function(t){r.get(t).forEach((function(i){var r=t instanceof window.SVGElement,o=a.get(t),d=r?0:parseFloat(o.paddingTop),f=r?0:parseFloat(o.paddingRight),l=r?0:parseFloat(o.paddingBottom),u=r?0:parseFloat(o.paddingLeft),g=r?0:parseFloat(o.borderTopWidth),m=r?0:parseFloat(o.borderRightWidth),w=r?0:parseFloat(o.borderBottomWidth),b=u+f,F=d+l,v=(r?0:parseFloat(o.borderLeftWidth))+m,W=g+w,y=r?0:t.offsetHeight-W-t.clientHeight,E=r?0:t.offsetWidth-v-t.clientWidth,R=b+v,z=F+W,M=r?t.width:parseFloat(o.width)-R-E,O=r?t.height:parseFloat(o.height)-z-y;if(n.has(t)){var k=n.get(t);if(k[0]===M&&k[1]===O)return}n.set(t,[M,O]);var S=Object.create(h.prototype);S.target=t,S.contentRect=new c(u,d,M,O),s.has(i)||(s.set(i,[]),p.add(i)),s.get(i).push(S)}))})),p.forEach((function(e){i.get(e).call(e,s.get(e),e)}))}return s.prototype.observe=function(i){if(i instanceof window.Element){r.has(i)||(r.set(i,new Set),o.add(i),a.set(i,window.getComputedStyle(i)));var n=r.get(i);n.has(this)||n.add(this),cancelAnimationFrame(t),t=requestAnimationFrame(d)}},s.prototype.unobserve=function(i){if(i instanceof window.Element&&r.has(i)){var n=r.get(i);n.has(this)&&(n.delete(this),n.size||(r.delete(i),o.delete(i))),n.size||r.delete(i),o.size||cancelAnimationFrame(t)}},A.DOMRectReadOnly=c,A.ResizeObserver=s,A.ResizeObserverEntry=h,A}; // eslint-disable-line\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Left button pans, Right button zooms\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";/* global mpl */\n",
       "\n",
       "var comm_websocket_adapter = function (comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.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 = document.getElementById(id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm);\n",
       "\n",
       "    function ondownload(figure, _format) {\n",
       "        window.open(figure.canvas.toDataURL());\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy, ondownload, element);\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element;\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error('Failed to find cell for figure', id, fig);\n",
       "        return;\n",
       "    }\n",
       "    fig.cell_info[0].output_area.element.on(\n",
       "        'cleared',\n",
       "        { fig: fig },\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function (fig, msg) {\n",
       "    var width = fig.canvas.width / fig.ratio;\n",
       "    fig.cell_info[0].output_area.element.off(\n",
       "        'cleared',\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "    fig.resizeObserverInstance.unobserve(fig.canvas_div);\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable();\n",
       "    fig.parent_element.innerHTML =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "    fig.close_ws(fig, msg);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.close_ws = function (fig, msg) {\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function (_remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width / this.ratio;\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message('ack', {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () {\n",
       "        fig.push_to_output();\n",
       "    }, 1000);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'btn-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'btn-group';\n",
       "    var button;\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'btn-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        button = fig.buttons[name] = document.createElement('button');\n",
       "        button.classList = 'btn btn-default';\n",
       "        button.href = '#';\n",
       "        button.title = name;\n",
       "        button.innerHTML = '<i class=\"fa ' + image + ' fa-lg\"></i>';\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message pull-right';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = document.createElement('div');\n",
       "    buttongrp.classList = 'btn-group inline pull-right';\n",
       "    button = document.createElement('button');\n",
       "    button.classList = 'btn btn-mini btn-primary';\n",
       "    button.href = '#';\n",
       "    button.title = 'Stop Interaction';\n",
       "    button.innerHTML = '<i class=\"fa fa-power-off icon-remove icon-large\"></i>';\n",
       "    button.addEventListener('click', function (_evt) {\n",
       "        fig.handle_close(fig, {});\n",
       "    });\n",
       "    button.addEventListener(\n",
       "        'mouseover',\n",
       "        on_mouseover_closure('Stop Interaction')\n",
       "    );\n",
       "    buttongrp.appendChild(button);\n",
       "    var titlebar = this.root.querySelector('.ui-dialog-titlebar');\n",
       "    titlebar.insertBefore(buttongrp, titlebar.firstChild);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._remove_fig_handler = function (event) {\n",
       "    var fig = event.data.fig;\n",
       "    if (event.target !== this) {\n",
       "        // Ignore bubbled events from children.\n",
       "        return;\n",
       "    }\n",
       "    fig.close_ws(fig, {});\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (el) {\n",
       "    el.style.boxSizing = 'content-box'; // override notebook setting of border-box.\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (el) {\n",
       "    // this is important to make the div 'focusable\n",
       "    el.setAttribute('tabindex', 0);\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    } else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (event, _name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager) {\n",
       "        manager = IPython.keyboard_manager;\n",
       "    }\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which === 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "};\n",
       "\n",
       "mpl.find_output_cell = function (html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i = 0; i < ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code') {\n",
       "            for (var j = 0; j < cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] === html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "};\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel !== null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target(\n",
       "        'matplotlib',\n",
       "        mpl.mpl_figure_comm\n",
       "    );\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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\" width=\"595\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "/* global mpl */\n",
       "window.mpl = {};\n",
       "\n",
       "mpl.get_websocket_type = function () {\n",
       "    if (typeof WebSocket !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof MozWebSocket !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert(\n",
       "            'Your browser does not have WebSocket support. ' +\n",
       "                'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "                'Firefox 4 and 5 are also supported but you ' +\n",
       "                'have to enable WebSockets in about:config.'\n",
       "        );\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure = function (figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = this.ws.binaryType !== undefined;\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById('mpl-warnings');\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent =\n",
       "                'This browser does not support binary websocket messages. ' +\n",
       "                'Performance may be slow.';\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = document.createElement('div');\n",
       "    this.root.setAttribute('style', 'display: inline-block');\n",
       "    this._root_extra_style(this.root);\n",
       "\n",
       "    parent_element.appendChild(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen = function () {\n",
       "        fig.send_message('supports_binary', { value: fig.supports_binary });\n",
       "        fig.send_message('send_image_mode', {});\n",
       "        if (fig.ratio !== 1) {\n",
       "            fig.send_message('set_dpi_ratio', { dpi_ratio: fig.ratio });\n",
       "        }\n",
       "        fig.send_message('refresh', {});\n",
       "    };\n",
       "\n",
       "    this.imageObj.onload = function () {\n",
       "        if (fig.image_mode === 'full') {\n",
       "            // Full images could contain transparency (where diff images\n",
       "            // almost always do), so we need to clear the canvas so that\n",
       "            // there is no ghosting.\n",
       "            fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "        }\n",
       "        fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "    };\n",
       "\n",
       "    this.imageObj.onunload = function () {\n",
       "        fig.ws.close();\n",
       "    };\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_header = function () {\n",
       "    var titlebar = document.createElement('div');\n",
       "    titlebar.classList =\n",
       "        'ui-dialog-titlebar ui-widget-header ui-corner-all ui-helper-clearfix';\n",
       "    var titletext = document.createElement('div');\n",
       "    titletext.classList = 'ui-dialog-title';\n",
       "    titletext.setAttribute(\n",
       "        'style',\n",
       "        'width: 100%; text-align: center; padding: 3px;'\n",
       "    );\n",
       "    titlebar.appendChild(titletext);\n",
       "    this.root.appendChild(titlebar);\n",
       "    this.header = titletext;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = (this.canvas_div = document.createElement('div'));\n",
       "    canvas_div.setAttribute(\n",
       "        'style',\n",
       "        'border: 1px solid #ddd;' +\n",
       "            'box-sizing: content-box;' +\n",
       "            'clear: both;' +\n",
       "            'min-height: 1px;' +\n",
       "            'min-width: 1px;' +\n",
       "            'outline: 0;' +\n",
       "            'overflow: hidden;' +\n",
       "            'position: relative;' +\n",
       "            'resize: both;'\n",
       "    );\n",
       "\n",
       "    function on_keyboard_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.key_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    canvas_div.addEventListener(\n",
       "        'keydown',\n",
       "        on_keyboard_event_closure('key_press')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'keyup',\n",
       "        on_keyboard_event_closure('key_release')\n",
       "    );\n",
       "\n",
       "    this._canvas_extra_style(canvas_div);\n",
       "    this.root.appendChild(canvas_div);\n",
       "\n",
       "    var canvas = (this.canvas = document.createElement('canvas'));\n",
       "    canvas.classList.add('mpl-canvas');\n",
       "    canvas.setAttribute('style', 'box-sizing: content-box;');\n",
       "\n",
       "    this.context = canvas.getContext('2d');\n",
       "\n",
       "    var backingStore =\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        this.context.webkitBackingStorePixelRatio ||\n",
       "        this.context.mozBackingStorePixelRatio ||\n",
       "        this.context.msBackingStorePixelRatio ||\n",
       "        this.context.oBackingStorePixelRatio ||\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        1;\n",
       "\n",
       "    this.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband_canvas = (this.rubberband_canvas = document.createElement(\n",
       "        'canvas'\n",
       "    ));\n",
       "    rubberband_canvas.setAttribute(\n",
       "        'style',\n",
       "        'box-sizing: content-box; position: absolute; left: 0; top: 0; z-index: 1;'\n",
       "    );\n",
       "\n",
       "    // Apply a ponyfill if ResizeObserver is not implemented by browser.\n",
       "    if (this.ResizeObserver === undefined) {\n",
       "        if (window.ResizeObserver !== undefined) {\n",
       "            this.ResizeObserver = window.ResizeObserver;\n",
       "        } else {\n",
       "            var obs = _JSXTOOLS_RESIZE_OBSERVER({});\n",
       "            this.ResizeObserver = obs.ResizeObserver;\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.resizeObserverInstance = new this.ResizeObserver(function (entries) {\n",
       "        var nentries = entries.length;\n",
       "        for (var i = 0; i < nentries; i++) {\n",
       "            var entry = entries[i];\n",
       "            var width, height;\n",
       "            if (entry.contentBoxSize) {\n",
       "                if (entry.contentBoxSize instanceof Array) {\n",
       "                    // Chrome 84 implements new version of spec.\n",
       "                    width = entry.contentBoxSize[0].inlineSize;\n",
       "                    height = entry.contentBoxSize[0].blockSize;\n",
       "                } else {\n",
       "                    // Firefox implements old version of spec.\n",
       "                    width = entry.contentBoxSize.inlineSize;\n",
       "                    height = entry.contentBoxSize.blockSize;\n",
       "                }\n",
       "            } else {\n",
       "                // Chrome <84 implements even older version of spec.\n",
       "                width = entry.contentRect.width;\n",
       "                height = entry.contentRect.height;\n",
       "            }\n",
       "\n",
       "            // Keep the size of the canvas and rubber band canvas in sync with\n",
       "            // the canvas container.\n",
       "            if (entry.devicePixelContentBoxSize) {\n",
       "                // Chrome 84 implements new version of spec.\n",
       "                canvas.setAttribute(\n",
       "                    'width',\n",
       "                    entry.devicePixelContentBoxSize[0].inlineSize\n",
       "                );\n",
       "                canvas.setAttribute(\n",
       "                    'height',\n",
       "                    entry.devicePixelContentBoxSize[0].blockSize\n",
       "                );\n",
       "            } else {\n",
       "                canvas.setAttribute('width', width * fig.ratio);\n",
       "                canvas.setAttribute('height', height * fig.ratio);\n",
       "            }\n",
       "            canvas.setAttribute(\n",
       "                'style',\n",
       "                'width: ' + width + 'px; height: ' + height + 'px;'\n",
       "            );\n",
       "\n",
       "            rubberband_canvas.setAttribute('width', width);\n",
       "            rubberband_canvas.setAttribute('height', height);\n",
       "\n",
       "            // And update the size in Python. We ignore the initial 0/0 size\n",
       "            // that occurs as the element is placed into the DOM, which should\n",
       "            // otherwise not happen due to the minimum size styling.\n",
       "            if (fig.ws.readyState == 1 && width != 0 && height != 0) {\n",
       "                fig.request_resize(width, height);\n",
       "            }\n",
       "        }\n",
       "    });\n",
       "    this.resizeObserverInstance.observe(canvas_div);\n",
       "\n",
       "    function on_mouse_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.mouse_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousedown',\n",
       "        on_mouse_event_closure('button_press')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseup',\n",
       "        on_mouse_event_closure('button_release')\n",
       "    );\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousemove',\n",
       "        on_mouse_event_closure('motion_notify')\n",
       "    );\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseenter',\n",
       "        on_mouse_event_closure('figure_enter')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseleave',\n",
       "        on_mouse_event_closure('figure_leave')\n",
       "    );\n",
       "\n",
       "    canvas_div.addEventListener('wheel', function (event) {\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        on_mouse_event_closure('scroll')(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.appendChild(canvas);\n",
       "    canvas_div.appendChild(rubberband_canvas);\n",
       "\n",
       "    this.rubberband_context = rubberband_canvas.getContext('2d');\n",
       "    this.rubberband_context.strokeStyle = '#000000';\n",
       "\n",
       "    this._resize_canvas = function (width, height, forward) {\n",
       "        if (forward) {\n",
       "            canvas_div.style.width = width + 'px';\n",
       "            canvas_div.style.height = height + 'px';\n",
       "        }\n",
       "    };\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    this.rubberband_canvas.addEventListener('contextmenu', function (_e) {\n",
       "        event.preventDefault();\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus() {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'mpl-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'mpl-button-group';\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'mpl-button-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        var button = (fig.buttons[name] = document.createElement('button'));\n",
       "        button.classList = 'mpl-widget';\n",
       "        button.setAttribute('role', 'button');\n",
       "        button.setAttribute('aria-disabled', 'false');\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "\n",
       "        var icon_img = document.createElement('img');\n",
       "        icon_img.src = '_images/' + image + '.png';\n",
       "        icon_img.srcset = '_images/' + image + '_large.png 2x';\n",
       "        icon_img.alt = tooltip;\n",
       "        button.appendChild(icon_img);\n",
       "\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    var fmt_picker = document.createElement('select');\n",
       "    fmt_picker.classList = 'mpl-widget';\n",
       "    toolbar.appendChild(fmt_picker);\n",
       "    this.format_dropdown = fmt_picker;\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = document.createElement('option');\n",
       "        option.selected = fmt === mpl.default_extension;\n",
       "        option.innerHTML = fmt;\n",
       "        fmt_picker.appendChild(option);\n",
       "    }\n",
       "\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.request_resize = function (x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', { width: x_pixels, height: y_pixels });\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_message = function (type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function () {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({ type: 'draw', figure_id: this.id }));\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function (fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] !== fig.canvas.width || size[1] !== fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1], msg['forward']);\n",
       "        fig.send_message('refresh', {});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function (fig, msg) {\n",
       "    var x0 = msg['x0'] / fig.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / fig.ratio;\n",
       "    var x1 = msg['x1'] / fig.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / fig.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0,\n",
       "        0,\n",
       "        fig.canvas.width / fig.ratio,\n",
       "        fig.canvas.height / fig.ratio\n",
       "    );\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function (fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function (fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch (cursor) {\n",
       "        case 0:\n",
       "            cursor = 'pointer';\n",
       "            break;\n",
       "        case 1:\n",
       "            cursor = 'default';\n",
       "            break;\n",
       "        case 2:\n",
       "            cursor = 'crosshair';\n",
       "            break;\n",
       "        case 3:\n",
       "            cursor = 'move';\n",
       "            break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_message = function (fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function (fig, _msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function (fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_history_buttons = function (fig, msg) {\n",
       "    for (var key in msg) {\n",
       "        if (!(key in fig.buttons)) {\n",
       "            continue;\n",
       "        }\n",
       "        fig.buttons[key].disabled = !msg[key];\n",
       "        fig.buttons[key].setAttribute('aria-disabled', !msg[key]);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_navigate_mode = function (fig, msg) {\n",
       "    if (msg['mode'] === 'PAN') {\n",
       "        fig.buttons['Pan'].classList.add('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    } else if (msg['mode'] === 'ZOOM') {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.add('active');\n",
       "    } else {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message('ack', {});\n",
       "};\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function (fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            /* 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",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                evt.data\n",
       "            );\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        } else if (\n",
       "            typeof evt.data === 'string' &&\n",
       "            evt.data.slice(0, 21) === 'data:image/png;base64'\n",
       "        ) {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig['handle_' + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\n",
       "                \"No handler for the '\" + msg_type + \"' message type: \",\n",
       "                msg\n",
       "            );\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\n",
       "                    \"Exception inside the 'handler_\" + msg_type + \"' callback:\",\n",
       "                    e,\n",
       "                    e.stack,\n",
       "                    msg\n",
       "                );\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "};\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function (e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e) {\n",
       "        e = window.event;\n",
       "    }\n",
       "    if (e.target) {\n",
       "        targ = e.target;\n",
       "    } else if (e.srcElement) {\n",
       "        targ = e.srcElement;\n",
       "    }\n",
       "    if (targ.nodeType === 3) {\n",
       "        // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "    }\n",
       "\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    var boundingRect = targ.getBoundingClientRect();\n",
       "    var x = e.pageX - (boundingRect.left + document.body.scrollLeft);\n",
       "    var y = e.pageY - (boundingRect.top + document.body.scrollTop);\n",
       "\n",
       "    return { x: x, y: y };\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys(original) {\n",
       "    return Object.keys(original).reduce(function (obj, key) {\n",
       "        if (typeof original[key] !== 'object') {\n",
       "            obj[key] = original[key];\n",
       "        }\n",
       "        return obj;\n",
       "    }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function (event, name) {\n",
       "    var canvas_pos = mpl.findpos(event);\n",
       "\n",
       "    if (name === 'button_press') {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * this.ratio;\n",
       "    var y = canvas_pos.y * this.ratio;\n",
       "\n",
       "    this.send_message(name, {\n",
       "        x: x,\n",
       "        y: y,\n",
       "        button: event.button,\n",
       "        step: event.step,\n",
       "        guiEvent: simpleKeys(event),\n",
       "    });\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (_event, _name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.key_event = function (event, name) {\n",
       "    // Prevent repeat events\n",
       "    if (name === 'key_press') {\n",
       "        if (event.which === this._key) {\n",
       "            return;\n",
       "        } else {\n",
       "            this._key = event.which;\n",
       "        }\n",
       "    }\n",
       "    if (name === 'key_release') {\n",
       "        this._key = null;\n",
       "    }\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.which !== 17) {\n",
       "        value += 'ctrl+';\n",
       "    }\n",
       "    if (event.altKey && event.which !== 18) {\n",
       "        value += 'alt+';\n",
       "    }\n",
       "    if (event.shiftKey && event.which !== 16) {\n",
       "        value += 'shift+';\n",
       "    }\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, guiEvent: simpleKeys(event) });\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function (name) {\n",
       "    if (name === 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message('toolbar_button', { name: name });\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function (tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "\n",
       "///////////////// REMAINING CONTENT GENERATED BY embed_js.py /////////////////\n",
       "// prettier-ignore\n",
       "var _JSXTOOLS_RESIZE_OBSERVER=function(A){var t,i=new WeakMap,n=new WeakMap,a=new WeakMap,r=new WeakMap,o=new Set;function s(e){if(!(this instanceof s))throw new TypeError(\"Constructor requires 'new' operator\");i.set(this,e)}function h(){throw new TypeError(\"Function is not a constructor\")}function c(e,t,i,n){e=0 in arguments?Number(arguments[0]):0,t=1 in arguments?Number(arguments[1]):0,i=2 in arguments?Number(arguments[2]):0,n=3 in arguments?Number(arguments[3]):0,this.right=(this.x=this.left=e)+(this.width=i),this.bottom=(this.y=this.top=t)+(this.height=n),Object.freeze(this)}function d(){t=requestAnimationFrame(d);var s=new WeakMap,p=new Set;o.forEach((function(t){r.get(t).forEach((function(i){var r=t instanceof window.SVGElement,o=a.get(t),d=r?0:parseFloat(o.paddingTop),f=r?0:parseFloat(o.paddingRight),l=r?0:parseFloat(o.paddingBottom),u=r?0:parseFloat(o.paddingLeft),g=r?0:parseFloat(o.borderTopWidth),m=r?0:parseFloat(o.borderRightWidth),w=r?0:parseFloat(o.borderBottomWidth),b=u+f,F=d+l,v=(r?0:parseFloat(o.borderLeftWidth))+m,W=g+w,y=r?0:t.offsetHeight-W-t.clientHeight,E=r?0:t.offsetWidth-v-t.clientWidth,R=b+v,z=F+W,M=r?t.width:parseFloat(o.width)-R-E,O=r?t.height:parseFloat(o.height)-z-y;if(n.has(t)){var k=n.get(t);if(k[0]===M&&k[1]===O)return}n.set(t,[M,O]);var S=Object.create(h.prototype);S.target=t,S.contentRect=new c(u,d,M,O),s.has(i)||(s.set(i,[]),p.add(i)),s.get(i).push(S)}))})),p.forEach((function(e){i.get(e).call(e,s.get(e),e)}))}return s.prototype.observe=function(i){if(i instanceof window.Element){r.has(i)||(r.set(i,new Set),o.add(i),a.set(i,window.getComputedStyle(i)));var n=r.get(i);n.has(this)||n.add(this),cancelAnimationFrame(t),t=requestAnimationFrame(d)}},s.prototype.unobserve=function(i){if(i instanceof window.Element&&r.has(i)){var n=r.get(i);n.has(this)&&(n.delete(this),n.size||(r.delete(i),o.delete(i))),n.size||r.delete(i),o.size||cancelAnimationFrame(t)}},A.DOMRectReadOnly=c,A.ResizeObserver=s,A.ResizeObserverEntry=h,A}; // eslint-disable-line\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Left button pans, Right button zooms\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";/* global mpl */\n",
       "\n",
       "var comm_websocket_adapter = function (comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.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 = document.getElementById(id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm);\n",
       "\n",
       "    function ondownload(figure, _format) {\n",
       "        window.open(figure.canvas.toDataURL());\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy, ondownload, element);\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element;\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error('Failed to find cell for figure', id, fig);\n",
       "        return;\n",
       "    }\n",
       "    fig.cell_info[0].output_area.element.on(\n",
       "        'cleared',\n",
       "        { fig: fig },\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function (fig, msg) {\n",
       "    var width = fig.canvas.width / fig.ratio;\n",
       "    fig.cell_info[0].output_area.element.off(\n",
       "        'cleared',\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "    fig.resizeObserverInstance.unobserve(fig.canvas_div);\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable();\n",
       "    fig.parent_element.innerHTML =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "    fig.close_ws(fig, msg);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.close_ws = function (fig, msg) {\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function (_remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width / this.ratio;\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message('ack', {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () {\n",
       "        fig.push_to_output();\n",
       "    }, 1000);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'btn-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'btn-group';\n",
       "    var button;\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'btn-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        button = fig.buttons[name] = document.createElement('button');\n",
       "        button.classList = 'btn btn-default';\n",
       "        button.href = '#';\n",
       "        button.title = name;\n",
       "        button.innerHTML = '<i class=\"fa ' + image + ' fa-lg\"></i>';\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message pull-right';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = document.createElement('div');\n",
       "    buttongrp.classList = 'btn-group inline pull-right';\n",
       "    button = document.createElement('button');\n",
       "    button.classList = 'btn btn-mini btn-primary';\n",
       "    button.href = '#';\n",
       "    button.title = 'Stop Interaction';\n",
       "    button.innerHTML = '<i class=\"fa fa-power-off icon-remove icon-large\"></i>';\n",
       "    button.addEventListener('click', function (_evt) {\n",
       "        fig.handle_close(fig, {});\n",
       "    });\n",
       "    button.addEventListener(\n",
       "        'mouseover',\n",
       "        on_mouseover_closure('Stop Interaction')\n",
       "    );\n",
       "    buttongrp.appendChild(button);\n",
       "    var titlebar = this.root.querySelector('.ui-dialog-titlebar');\n",
       "    titlebar.insertBefore(buttongrp, titlebar.firstChild);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._remove_fig_handler = function (event) {\n",
       "    var fig = event.data.fig;\n",
       "    if (event.target !== this) {\n",
       "        // Ignore bubbled events from children.\n",
       "        return;\n",
       "    }\n",
       "    fig.close_ws(fig, {});\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (el) {\n",
       "    el.style.boxSizing = 'content-box'; // override notebook setting of border-box.\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (el) {\n",
       "    // this is important to make the div 'focusable\n",
       "    el.setAttribute('tabindex', 0);\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    } else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (event, _name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager) {\n",
       "        manager = IPython.keyboard_manager;\n",
       "    }\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which === 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "};\n",
       "\n",
       "mpl.find_output_cell = function (html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i = 0; i < ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code') {\n",
       "            for (var j = 0; j < cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] === html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "};\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel !== null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target(\n",
       "        'matplotlib',\n",
       "        mpl.mpl_figure_comm\n",
       "    );\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
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\" width=\"595\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "### Code for 2a\n",
    "\n",
    "X = data_copy2[['Speed', 'Length_cubed', 'Breadth']].values\n",
    "y = data_copy2[['Ship_type']].values\n",
    "\n",
    "#plot to visualise the data\n",
    "sns.displot(data_copy2, x=\"Speed\", hue=\"Ship_type\", multiple=\"stack\")\n",
    "sns.displot(data_copy2, x=\"Length_cubed\", hue=\"Ship_type\", multiple=\"stack\")\n",
    "sns.displot(data_copy2, x=\"Breadth\", hue=\"Ship_type\", multiple=\"stack\")\n",
    "\n",
    "plt.show()\n",
    "#the distribution over ship types seems to be off, Tug has few values overall, so stratification may be good\n",
    "\n",
    "X_train, X_test, y_train, y_test = train_test_split(X, y, test_size = 0.2, train_size=0.8, stratify=y)\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "daPc_o9boDw3"
   },
   "source": [
    "<font color = red> \\*** Answer here (do you need to use strafication? Explain your decision) ***\n",
    "    <br><br> After plotting, we can observe the fact that many values overlap and may be confused with one another, not to mention the fact that the attribute \"Tug\" has very few values which are completely overlapped with the values from \"Tanker\" and \"Cargo\". Thus, in order to make sure that we are taking into consideration every attribute equally, it is a good idea to use stratification. <br><br>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "muqCazPIoDw4"
   },
   "source": [
    "_______________\n",
    "#### <font color = lightcoral> b) Train the model and test its performance 1p\n",
    "- Use a kNN classifier with k=3\n",
    "- Print out the confusion matrix. <br>\n",
    "- How does the model perform with different ship types? Where do you think the differences come from?<br>\n",
    "- What is the (total) classification accuracy?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "def accuracy (predicted, test):\n",
    "    acc=0\n",
    "    cnt=0\n",
    "    for i in range(len(test)):\n",
    "        if (predicted[i] == test[i]):\n",
    "            cnt = cnt + 1\n",
    "        acc=100*cnt/len(test)\n",
    "    return(acc)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "id": "NMR7Y2s6oDw4",
    "outputId": "33bd42f3-a25c-47de-cb12-908d698d08af"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cofusion matrix : \n",
      " [[13  0  0]\n",
      " [ 2 10  0]\n",
      " [ 1  0  1]]\n"
     ]
    }
   ],
   "source": [
    "### Code for 2b\n",
    "clasf = KNeighborsClassifier(n_neighbors=3)\n",
    "y_prediction=clasf.fit(X_train, y_train.ravel()).predict(X_test)\n",
    "print(\"Cofusion matrix : \\n\", metrics.confusion_matrix(y_test, y_prediction))\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(Total) Classification accuracy:   88.88888888888889  %\n"
     ]
    }
   ],
   "source": [
    "print(\"(Total) Classification accuracy:  \",accuracy(y_prediction,y_test),\" %\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "1ceztBiPoDw4"
   },
   "source": [
    "<font color = red> \\*** Answer here *** - Discuss your results. What can you see? What do you think is relevant?\n",
    "    <br><br> The code I have used takes at random different samples of the three ship types to use as train or test groups. After running the code multiple times, I noticed that both the confusion matrix and the total classification accuracy change, however, the accuracy value revolves around 70%. These differences appear beacause we take a number of different random samples to use in our groups each time from all the three attributes (\"Tanker\", \"Cargo\", \"Tug\"), so of course we will have some good predictions sometimes and some wrong predictions in other instances, but the important is the fact that the genaral Total Classification accuracy is high each time.<br><br>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "gQfehqAioDw4"
   },
   "source": [
    "__________\n",
    "## 3. <font color = navy> Classification accuracy using leave-one-out cross validation"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "DPZx-6JLoDw5"
   },
   "source": [
    "Again, predict the **ship type** using **speed, destination, transformed length, and breadth** of the ship as features. Find an estimation for the classification accuracy using *leave-one-out cross validation (LOO CV)*. <br>\n",
    "\n",
    " - a) Use leave-one-out cross validation to estimate the model performance **1p**\n",
    "     - Use kNN classifier with k=3\n",
    "     - What is the classification accuracy? Compare the result with the one you got in the previous task\n",
    " - b) Which method gives better evaluation of the performance of the classifier with this data set? Explain your choice **1p**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [],
   "source": [
    "def acc_loo(dom, k):\n",
    "    A=0\n",
    "    n=0\n",
    "    for train_index, test_index in LeaveOneOut().split(dom):\n",
    "        X_train, X_test = X[train_index], X[test_index]\n",
    "        y_train, y_test = y[train_index], y[test_index]\n",
    "        predicted = KNeighborsClassifier(n_neighbors=k).fit(X_train, y_train.ravel()).predict(X_test)#could be done in one line\n",
    "        c=0\n",
    "        for i in range(len(y_test)):\n",
    "            if (predicted[i] == y_test[i]):\n",
    "                c = c + 1\n",
    "            A= A+c\n",
    "            n=n+1\n",
    "    acc_loo=100*A/n\n",
    "    return(acc_loo)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [],
   "source": [
    "def accur(m,n):\n",
    "    acc=100*m/n\n",
    "    return(acc)\n",
    "#Python wasn't reading sklearn.metrics,accuracy_score. Made my own"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "id": "znHjVwKDoDw5",
    "outputId": "3b73cc4a-eef7-4e9e-be17-19d79df71033"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Total classification accuracy (leave-one-out):  74.6268656716418  %\n"
     ]
    }
   ],
   "source": [
    "### Code for 3\n",
    "\n",
    "print(\"Total classification accuracy (leave-one-out): \",acc_loo(X,3),\" %\") \n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "TXJmJ80DoDw5"
   },
   "source": [
    "#### a) <font color = navy> What is the classification accuracy? Compare the result with the one you got in the previous task **1p**\n",
    "\n",
    "<font color = red> \\*** Answer here *** \n",
    "    <br><br> For the Leave-One-Out algorithm we have an accuracy of around 74%, which is good enough. Compared to the result of the previous point, this accuracy may not always be the best, but it certainly is the most steady, considering that the result stays the same at each run of the programme, while the other doesn't.<br><br></font>\n",
    "    \n",
    "#### b) <font color = navy>  Which method gives better evaluation of the performance of the classifier with this data set? Why? 1p\n",
    "\n",
    "<font color = red> \\*** Answer here ***\n",
    "    <br><br>The Leave-One-Out method gives the best evaluation of the performance of the classifier. This is due to the fact that the result stays constant, while for the simple classifier we have a different result at each run of the program, so we can't be sure which is the correct value.<br><br></font>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "88BjCQL6oDw5"
   },
   "source": [
    "____________\n",
    "## <font color = forestgreen> 4. Model selection with leave-one-out cross validation"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "A8fcES_LoDw5"
   },
   "source": [
    "- a) Select the best model (kNN with selection of k) using leave-one-out cross validation (Repeat the model performance estimation with values k=1...30). Which value of k produces the best classification accuracy? **2p**\n",
    "- b) If the number of k is still increased, what is the limit that the **1p** classification accuracy approaches? Why?\n",
    "- d) Can you say something about the performance of this *selected* model with new, unseen data? Explain, how you could you estimate the performance of this selected model. **1p** "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "id": "RJ7570_ZoDw6",
    "outputId": "91caaf74-2636-46f7-a4e3-4e5ba98e4c4e"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Accuracy for k= 1  is  78.35820895522389  %\n",
      "Accuracy for k= 2  is  72.38805970149254  %\n",
      "Accuracy for k= 3  is  74.6268656716418  %\n",
      "Accuracy for k= 4  is  75.3731343283582  %\n",
      "Accuracy for k= 5  is  74.6268656716418  %\n",
      "Accuracy for k= 6  is  73.88059701492537  %\n",
      "Accuracy for k= 7  is  74.6268656716418  %\n",
      "Accuracy for k= 8  is  72.38805970149254  %\n",
      "Accuracy for k= 9  is  72.38805970149254  %\n",
      "Accuracy for k= 10  is  68.65671641791045  %\n",
      "Accuracy for k= 11  is  71.64179104477611  %\n",
      "Accuracy for k= 12  is  70.14925373134328  %\n",
      "Accuracy for k= 13  is  71.64179104477611  %\n",
      "Accuracy for k= 14  is  70.8955223880597  %\n",
      "Accuracy for k= 15  is  70.14925373134328  %\n",
      "Accuracy for k= 16  is  69.40298507462687  %\n",
      "Accuracy for k= 17  is  70.14925373134328  %\n",
      "Accuracy for k= 18  is  68.65671641791045  %\n",
      "Accuracy for k= 19  is  69.40298507462687  %\n",
      "Accuracy for k= 20  is  67.91044776119404  %\n",
      "Accuracy for k= 21  is  70.14925373134328  %\n",
      "Accuracy for k= 22  is  67.91044776119404  %\n",
      "Accuracy for k= 23  is  68.65671641791045  %\n",
      "Accuracy for k= 24  is  69.40298507462687  %\n",
      "Accuracy for k= 25  is  69.40298507462687  %\n",
      "Accuracy for k= 26  is  68.65671641791045  %\n",
      "Accuracy for k= 27  is  67.16417910447761  %\n",
      "Accuracy for k= 28  is  68.65671641791045  %\n",
      "Accuracy for k= 29  is  68.65671641791045  %\n",
      "Accuracy for k= 30  is  67.91044776119404  %\n"
     ]
    }
   ],
   "source": [
    "# Code for 4\n",
    "array = [None]*30\n",
    "\n",
    "for k in range(1,31):\n",
    "\n",
    "    array[k-1] = acc_loo(X,k)\n",
    "    print(\"Accuracy for k=\",k,\" is \",acc_loo(X,k),\" %\")\n",
    "    accuracy_loo=acc_loo(X,k) "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "qKsgAEyWoDw6"
   },
   "source": [
    "#### <font color = forestgreen>  a) Which value of k produces the best classification accuracy? **1p**</font>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<font color = red> \\*** Answer here ***\n",
    "    <br><br> The smaller values of k (k=1, k=2, k=3, etc) produce the best classification accuracy. This is due to the fact that a small k leads to overfitting which in turn leads to a small generalization of the data.<br>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### <font color = forestgreen> b) If the number of k is still increased, what is the limit that the classification accuracy approaches? Why?"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<font color = red> \\*** Answer here ***\n",
    "    <br><br> As k increases, we see that the classification accuracy reaches a limit of around 50-60% and doesn't go any lower than that. This happens because we are tanking more data into accound, thus making the model less flexible.<br>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### <font color = forestgreen> c) Can you say something about the performance of this *selected* model with new, unseen data? Explain, how you could you estimate the performance of this selected model. **1p**"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<font color = red> \\*** Answer here ***\n",
    "    <br><br> Normally, the LOOCV algorithm is quite taxing when it comes to the resources of the system, especially if we have a large data set. However, as long as we mentain the number of enteries within reasonable parameters, the model should perform quite well, given the fact that we need to choose an apropriate k for the algorithm. Since we don't want neither an overfitting nor an underfitting model, the value of k should be around the middle of the given interval (1 to 30) since we can see that the accuracy scores tend to get a bit more stable around there ( the differences between them aren't that great). \n",
    "    <br>Further research actually shows that the value k=10 is quite common for this algorithm because, given extensive testing, 10-fold cross-validation provides a good balance of low computational cost and low bias in the estimate of model performance as compared to other k values and a single train-test split.(source: https://tinyurl.com/ycdffmbt).\n",
    "    <br> For our case, the value k=10 doesn't seem the best choice since it yealds a quite low accuracy, so k=11 may be a more sensible choice<br><br>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "9r2v1LEDoDw6"
   },
   "source": [
    "________________\n",
    "### <font color = red>  5. Testing with training data <font color = red> (this should never be done out of this exercise!) </font>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "j6B6L5HWoDw6"
   },
   "source": [
    "- Repeat the previous task but use the whole data for training **2p**\n",
    "- Plot the resulting classification accuracy versus k=1...30. **Include the values from the previous task in the same figure**\n",
    "- Comment your result. **Why** shouldn't you test with training data?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "id": "ExWjmjQ5oDw6",
    "outputId": "f7bd8eac-a636-400b-a8a4-9ca269129628"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1 .  100.0  %\n",
      "2 .  88.80597014925372  %\n",
      "3 .  87.31343283582089  %\n",
      "4 .  83.58208955223881  %\n",
      "5 .  81.34328358208955  %\n",
      "6 .  79.1044776119403  %\n",
      "7 .  78.35820895522389  %\n",
      "8 .  79.1044776119403  %\n",
      "9 .  78.35820895522389  %\n",
      "10 .  76.11940298507463  %\n",
      "11 .  73.88059701492537  %\n",
      "12 .  74.6268656716418  %\n",
      "13 .  72.38805970149254  %\n",
      "14 .  73.88059701492537  %\n",
      "15 .  73.13432835820896  %\n",
      "16 .  72.38805970149254  %\n",
      "17 .  70.8955223880597  %\n",
      "18 .  73.13432835820896  %\n",
      "19 .  72.38805970149254  %\n",
      "20 .  71.64179104477611  %\n",
      "21 .  71.64179104477611  %\n",
      "22 .  72.38805970149254  %\n",
      "23 .  71.64179104477611  %\n",
      "24 .  70.8955223880597  %\n",
      "25 .  70.14925373134328  %\n",
      "26 .  70.8955223880597  %\n",
      "27 .  70.14925373134328  %\n",
      "28 .  69.40298507462687  %\n",
      "29 .  70.14925373134328  %\n",
      "30 .  69.40298507462687  %\n"
     ]
    }
   ],
   "source": [
    "### CODE FOR 5: Repeat the previous task but use whole data for training\n",
    "field = [None]*30\n",
    "\n",
    "for k in range(1,31):\n",
    "    y_prediction = KNeighborsClassifier(n_neighbors=k).fit(X, y.ravel()).predict(X)\n",
    "    field[k-1] = accuracy(y_prediction,y)\n",
    "    print(k,\". \",accuracy(y_prediction,y), \" %\")\n",
    "    accuracy_training_data=accuracy(y_prediction,y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {
    "id": "nbBQekY1oDw6",
    "outputId": "3c06f464-b5ed-46ce-994e-251b1486b04c",
    "scrolled": true
   },
   "outputs": [
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       "            var width, height;\n",
       "            if (entry.contentBoxSize) {\n",
       "                if (entry.contentBoxSize instanceof Array) {\n",
       "                    // Chrome 84 implements new version of spec.\n",
       "                    width = entry.contentBoxSize[0].inlineSize;\n",
       "                    height = entry.contentBoxSize[0].blockSize;\n",
       "                } else {\n",
       "                    // Firefox implements old version of spec.\n",
       "                    width = entry.contentBoxSize.inlineSize;\n",
       "                    height = entry.contentBoxSize.blockSize;\n",
       "                }\n",
       "            } else {\n",
       "                // Chrome <84 implements even older version of spec.\n",
       "                width = entry.contentRect.width;\n",
       "                height = entry.contentRect.height;\n",
       "            }\n",
       "\n",
       "            // Keep the size of the canvas and rubber band canvas in sync with\n",
       "            // the canvas container.\n",
       "            if (entry.devicePixelContentBoxSize) {\n",
       "                // Chrome 84 implements new version of spec.\n",
       "                canvas.setAttribute(\n",
       "                    'width',\n",
       "                    entry.devicePixelContentBoxSize[0].inlineSize\n",
       "                );\n",
       "                canvas.setAttribute(\n",
       "                    'height',\n",
       "                    entry.devicePixelContentBoxSize[0].blockSize\n",
       "                );\n",
       "            } else {\n",
       "                canvas.setAttribute('width', width * fig.ratio);\n",
       "                canvas.setAttribute('height', height * fig.ratio);\n",
       "            }\n",
       "            canvas.setAttribute(\n",
       "                'style',\n",
       "                'width: ' + width + 'px; height: ' + height + 'px;'\n",
       "            );\n",
       "\n",
       "            rubberband_canvas.setAttribute('width', width);\n",
       "            rubberband_canvas.setAttribute('height', height);\n",
       "\n",
       "            // And update the size in Python. We ignore the initial 0/0 size\n",
       "            // that occurs as the element is placed into the DOM, which should\n",
       "            // otherwise not happen due to the minimum size styling.\n",
       "            if (fig.ws.readyState == 1 && width != 0 && height != 0) {\n",
       "                fig.request_resize(width, height);\n",
       "            }\n",
       "        }\n",
       "    });\n",
       "    this.resizeObserverInstance.observe(canvas_div);\n",
       "\n",
       "    function on_mouse_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.mouse_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousedown',\n",
       "        on_mouse_event_closure('button_press')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseup',\n",
       "        on_mouse_event_closure('button_release')\n",
       "    );\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousemove',\n",
       "        on_mouse_event_closure('motion_notify')\n",
       "    );\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseenter',\n",
       "        on_mouse_event_closure('figure_enter')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseleave',\n",
       "        on_mouse_event_closure('figure_leave')\n",
       "    );\n",
       "\n",
       "    canvas_div.addEventListener('wheel', function (event) {\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        on_mouse_event_closure('scroll')(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.appendChild(canvas);\n",
       "    canvas_div.appendChild(rubberband_canvas);\n",
       "\n",
       "    this.rubberband_context = rubberband_canvas.getContext('2d');\n",
       "    this.rubberband_context.strokeStyle = '#000000';\n",
       "\n",
       "    this._resize_canvas = function (width, height, forward) {\n",
       "        if (forward) {\n",
       "            canvas_div.style.width = width + 'px';\n",
       "            canvas_div.style.height = height + 'px';\n",
       "        }\n",
       "    };\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    this.rubberband_canvas.addEventListener('contextmenu', function (_e) {\n",
       "        event.preventDefault();\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus() {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'mpl-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'mpl-button-group';\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'mpl-button-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        var button = (fig.buttons[name] = document.createElement('button'));\n",
       "        button.classList = 'mpl-widget';\n",
       "        button.setAttribute('role', 'button');\n",
       "        button.setAttribute('aria-disabled', 'false');\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "\n",
       "        var icon_img = document.createElement('img');\n",
       "        icon_img.src = '_images/' + image + '.png';\n",
       "        icon_img.srcset = '_images/' + image + '_large.png 2x';\n",
       "        icon_img.alt = tooltip;\n",
       "        button.appendChild(icon_img);\n",
       "\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    var fmt_picker = document.createElement('select');\n",
       "    fmt_picker.classList = 'mpl-widget';\n",
       "    toolbar.appendChild(fmt_picker);\n",
       "    this.format_dropdown = fmt_picker;\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = document.createElement('option');\n",
       "        option.selected = fmt === mpl.default_extension;\n",
       "        option.innerHTML = fmt;\n",
       "        fmt_picker.appendChild(option);\n",
       "    }\n",
       "\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.request_resize = function (x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', { width: x_pixels, height: y_pixels });\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_message = function (type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function () {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({ type: 'draw', figure_id: this.id }));\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function (fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] !== fig.canvas.width || size[1] !== fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1], msg['forward']);\n",
       "        fig.send_message('refresh', {});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function (fig, msg) {\n",
       "    var x0 = msg['x0'] / fig.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / fig.ratio;\n",
       "    var x1 = msg['x1'] / fig.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / fig.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0,\n",
       "        0,\n",
       "        fig.canvas.width / fig.ratio,\n",
       "        fig.canvas.height / fig.ratio\n",
       "    );\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function (fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function (fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch (cursor) {\n",
       "        case 0:\n",
       "            cursor = 'pointer';\n",
       "            break;\n",
       "        case 1:\n",
       "            cursor = 'default';\n",
       "            break;\n",
       "        case 2:\n",
       "            cursor = 'crosshair';\n",
       "            break;\n",
       "        case 3:\n",
       "            cursor = 'move';\n",
       "            break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_message = function (fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function (fig, _msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function (fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_history_buttons = function (fig, msg) {\n",
       "    for (var key in msg) {\n",
       "        if (!(key in fig.buttons)) {\n",
       "            continue;\n",
       "        }\n",
       "        fig.buttons[key].disabled = !msg[key];\n",
       "        fig.buttons[key].setAttribute('aria-disabled', !msg[key]);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_navigate_mode = function (fig, msg) {\n",
       "    if (msg['mode'] === 'PAN') {\n",
       "        fig.buttons['Pan'].classList.add('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    } else if (msg['mode'] === 'ZOOM') {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.add('active');\n",
       "    } else {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message('ack', {});\n",
       "};\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function (fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            /* 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",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                evt.data\n",
       "            );\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        } else if (\n",
       "            typeof evt.data === 'string' &&\n",
       "            evt.data.slice(0, 21) === 'data:image/png;base64'\n",
       "        ) {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig['handle_' + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\n",
       "                \"No handler for the '\" + msg_type + \"' message type: \",\n",
       "                msg\n",
       "            );\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\n",
       "                    \"Exception inside the 'handler_\" + msg_type + \"' callback:\",\n",
       "                    e,\n",
       "                    e.stack,\n",
       "                    msg\n",
       "                );\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "};\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function (e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e) {\n",
       "        e = window.event;\n",
       "    }\n",
       "    if (e.target) {\n",
       "        targ = e.target;\n",
       "    } else if (e.srcElement) {\n",
       "        targ = e.srcElement;\n",
       "    }\n",
       "    if (targ.nodeType === 3) {\n",
       "        // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "    }\n",
       "\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    var boundingRect = targ.getBoundingClientRect();\n",
       "    var x = e.pageX - (boundingRect.left + document.body.scrollLeft);\n",
       "    var y = e.pageY - (boundingRect.top + document.body.scrollTop);\n",
       "\n",
       "    return { x: x, y: y };\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys(original) {\n",
       "    return Object.keys(original).reduce(function (obj, key) {\n",
       "        if (typeof original[key] !== 'object') {\n",
       "            obj[key] = original[key];\n",
       "        }\n",
       "        return obj;\n",
       "    }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function (event, name) {\n",
       "    var canvas_pos = mpl.findpos(event);\n",
       "\n",
       "    if (name === 'button_press') {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * this.ratio;\n",
       "    var y = canvas_pos.y * this.ratio;\n",
       "\n",
       "    this.send_message(name, {\n",
       "        x: x,\n",
       "        y: y,\n",
       "        button: event.button,\n",
       "        step: event.step,\n",
       "        guiEvent: simpleKeys(event),\n",
       "    });\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (_event, _name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.key_event = function (event, name) {\n",
       "    // Prevent repeat events\n",
       "    if (name === 'key_press') {\n",
       "        if (event.which === this._key) {\n",
       "            return;\n",
       "        } else {\n",
       "            this._key = event.which;\n",
       "        }\n",
       "    }\n",
       "    if (name === 'key_release') {\n",
       "        this._key = null;\n",
       "    }\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.which !== 17) {\n",
       "        value += 'ctrl+';\n",
       "    }\n",
       "    if (event.altKey && event.which !== 18) {\n",
       "        value += 'alt+';\n",
       "    }\n",
       "    if (event.shiftKey && event.which !== 16) {\n",
       "        value += 'shift+';\n",
       "    }\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, guiEvent: simpleKeys(event) });\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function (name) {\n",
       "    if (name === 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message('toolbar_button', { name: name });\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function (tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "\n",
       "///////////////// REMAINING CONTENT GENERATED BY embed_js.py /////////////////\n",
       "// prettier-ignore\n",
       "var _JSXTOOLS_RESIZE_OBSERVER=function(A){var t,i=new WeakMap,n=new WeakMap,a=new WeakMap,r=new WeakMap,o=new Set;function s(e){if(!(this instanceof s))throw new TypeError(\"Constructor requires 'new' operator\");i.set(this,e)}function h(){throw new TypeError(\"Function is not a constructor\")}function c(e,t,i,n){e=0 in arguments?Number(arguments[0]):0,t=1 in arguments?Number(arguments[1]):0,i=2 in arguments?Number(arguments[2]):0,n=3 in arguments?Number(arguments[3]):0,this.right=(this.x=this.left=e)+(this.width=i),this.bottom=(this.y=this.top=t)+(this.height=n),Object.freeze(this)}function d(){t=requestAnimationFrame(d);var s=new WeakMap,p=new Set;o.forEach((function(t){r.get(t).forEach((function(i){var r=t instanceof window.SVGElement,o=a.get(t),d=r?0:parseFloat(o.paddingTop),f=r?0:parseFloat(o.paddingRight),l=r?0:parseFloat(o.paddingBottom),u=r?0:parseFloat(o.paddingLeft),g=r?0:parseFloat(o.borderTopWidth),m=r?0:parseFloat(o.borderRightWidth),w=r?0:parseFloat(o.borderBottomWidth),b=u+f,F=d+l,v=(r?0:parseFloat(o.borderLeftWidth))+m,W=g+w,y=r?0:t.offsetHeight-W-t.clientHeight,E=r?0:t.offsetWidth-v-t.clientWidth,R=b+v,z=F+W,M=r?t.width:parseFloat(o.width)-R-E,O=r?t.height:parseFloat(o.height)-z-y;if(n.has(t)){var k=n.get(t);if(k[0]===M&&k[1]===O)return}n.set(t,[M,O]);var S=Object.create(h.prototype);S.target=t,S.contentRect=new c(u,d,M,O),s.has(i)||(s.set(i,[]),p.add(i)),s.get(i).push(S)}))})),p.forEach((function(e){i.get(e).call(e,s.get(e),e)}))}return s.prototype.observe=function(i){if(i instanceof window.Element){r.has(i)||(r.set(i,new Set),o.add(i),a.set(i,window.getComputedStyle(i)));var n=r.get(i);n.has(this)||n.add(this),cancelAnimationFrame(t),t=requestAnimationFrame(d)}},s.prototype.unobserve=function(i){if(i instanceof window.Element&&r.has(i)){var n=r.get(i);n.has(this)&&(n.delete(this),n.size||(r.delete(i),o.delete(i))),n.size||r.delete(i),o.size||cancelAnimationFrame(t)}},A.DOMRectReadOnly=c,A.ResizeObserver=s,A.ResizeObserverEntry=h,A}; // eslint-disable-line\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Left button pans, Right button zooms\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";/* global mpl */\n",
       "\n",
       "var comm_websocket_adapter = function (comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.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 = document.getElementById(id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm);\n",
       "\n",
       "    function ondownload(figure, _format) {\n",
       "        window.open(figure.canvas.toDataURL());\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy, ondownload, element);\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element;\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error('Failed to find cell for figure', id, fig);\n",
       "        return;\n",
       "    }\n",
       "    fig.cell_info[0].output_area.element.on(\n",
       "        'cleared',\n",
       "        { fig: fig },\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function (fig, msg) {\n",
       "    var width = fig.canvas.width / fig.ratio;\n",
       "    fig.cell_info[0].output_area.element.off(\n",
       "        'cleared',\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "    fig.resizeObserverInstance.unobserve(fig.canvas_div);\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable();\n",
       "    fig.parent_element.innerHTML =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "    fig.close_ws(fig, msg);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.close_ws = function (fig, msg) {\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function (_remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width / this.ratio;\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message('ack', {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () {\n",
       "        fig.push_to_output();\n",
       "    }, 1000);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'btn-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'btn-group';\n",
       "    var button;\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'btn-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        button = fig.buttons[name] = document.createElement('button');\n",
       "        button.classList = 'btn btn-default';\n",
       "        button.href = '#';\n",
       "        button.title = name;\n",
       "        button.innerHTML = '<i class=\"fa ' + image + ' fa-lg\"></i>';\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message pull-right';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = document.createElement('div');\n",
       "    buttongrp.classList = 'btn-group inline pull-right';\n",
       "    button = document.createElement('button');\n",
       "    button.classList = 'btn btn-mini btn-primary';\n",
       "    button.href = '#';\n",
       "    button.title = 'Stop Interaction';\n",
       "    button.innerHTML = '<i class=\"fa fa-power-off icon-remove icon-large\"></i>';\n",
       "    button.addEventListener('click', function (_evt) {\n",
       "        fig.handle_close(fig, {});\n",
       "    });\n",
       "    button.addEventListener(\n",
       "        'mouseover',\n",
       "        on_mouseover_closure('Stop Interaction')\n",
       "    );\n",
       "    buttongrp.appendChild(button);\n",
       "    var titlebar = this.root.querySelector('.ui-dialog-titlebar');\n",
       "    titlebar.insertBefore(buttongrp, titlebar.firstChild);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._remove_fig_handler = function (event) {\n",
       "    var fig = event.data.fig;\n",
       "    if (event.target !== this) {\n",
       "        // Ignore bubbled events from children.\n",
       "        return;\n",
       "    }\n",
       "    fig.close_ws(fig, {});\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (el) {\n",
       "    el.style.boxSizing = 'content-box'; // override notebook setting of border-box.\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (el) {\n",
       "    // this is important to make the div 'focusable\n",
       "    el.setAttribute('tabindex', 0);\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    } else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (event, _name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager) {\n",
       "        manager = IPython.keyboard_manager;\n",
       "    }\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which === 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "};\n",
       "\n",
       "mpl.find_output_cell = function (html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i = 0; i < ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code') {\n",
       "            for (var j = 0; j < cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] === html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "};\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel !== null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target(\n",
       "        'matplotlib',\n",
       "        mpl.mpl_figure_comm\n",
       "    );\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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\" width=\"640\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "### CODE FOR 5: The plot\n",
    "k = np.linspace(1,30,30)\n",
    "plt.figure()\n",
    "plt.title(\"Classification accuracy vs. K\")\n",
    "plt.xlabel(\"K\")\n",
    "plt.ylabel(\"Accuracy - %\")\n",
    "\n",
    "plt.plot(k, field,label=\"Training Data\")\n",
    "plt.plot(k,array,label=\"Leave-One-Out\")\n",
    "\n",
    "plt.legend()\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    " <font color = red> \\*** Answer here ***\n",
    "    <br><br> When testing with the training data, we can see that we have some instances of 100% accuracy. This tells us that our model is getting each guess right. Although at first glance this would be an ideal result, testing with the training data doesn't show us anything else but the power to memorise of our model. We are more interested to see if our model actually understands the trend of the data, so if we were to feed it new, unknown data enteries, it should know what to do and make most of the guesses correctly.<br><br>"
   ]
  }
 ],
 "metadata": {
  "colab": {
   "name": "DADK2020_ex3_Valtteri_Nieminen.ipynb",
   "provenance": []
  },
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.12"
  },
  "toc": {
   "base_numbering": 1,
   "nav_menu": {
    "height": "180px",
    "width": "160px"
   },
   "number_sections": true,
   "sideBar": true,
   "skip_h1_title": true,
   "title_cell": "Table of Contents",
   "title_sidebar": "Contents",
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