docs/source/tutorial/impact-studies-parallel.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Impact Studies Using SuPy in Parallel Mode"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Aim"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In this tutorial, we aim to perform sensitivity analysis using `supy` in a parallel mode to investigate the impacts on urban climate of\n",
    "\n",
    "1. surface properties: the physical attributes of land covers (e.g., albedo, water holding capacity, etc.)\n",
    "2. background climate: longterm meteorological conditions (e.g., air temperature, precipitation, etc.)\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Prepare `supy` for the parallel mode"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### load `supy` and sample dataset"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-02-16T23:45:23.735061Z",
     "start_time": "2019-02-16T23:45:22.741096Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "version info:\n",
      "supy: 2019.2.8\n",
      "supy_driver: 2018c5\n"
     ]
    }
   ],
   "source": [
    "from dask import delayed\n",
    "from dask import dataframe as dd\n",
    "import os\n",
    "import supy as sp\n",
    "import seaborn as sns\n",
    "import pandas as pd\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import matplotlib.dates as mdates\n",
    "from time import time\n",
    "\n",
    "get_ipython().run_line_magic('matplotlib', 'inline')\n",
    "# produce high-quality figures, which can also be set as one of ['svg', 'pdf', 'retina', 'png']\n",
    "# 'svg' produces high quality vector figures\n",
    "%config InlineBackend.figure_format = 'svg'\n",
    "print('version info:')\n",
    "print('supy:', sp.__version__)\n",
    "print('supy_driver:', sp.__version_driver__)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-02-16T23:45:38.572844Z",
     "start_time": "2019-02-16T23:45:23.822836Z"
    }
   },
   "outputs": [],
   "source": [
    "# load sample datasets\n",
    "df_state_init, df_forcing = sp.load_SampleData()\n",
    "# perform an example run to get output samples for later use\n",
    "df_output, df_state_final = sp.run_supy(df_forcing, df_state_init)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Paralell setup for `supy` using `dask`"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In addition to the above packages, we also load `dask` to enable `supy` run in a parallel mode. Specifically, we will use [`dask.dataframe`](http://docs.dask.org/en/latest/dataframe.html), a specialized `dataframe` extending `pandas.DataFrame`'s ability in parallel operations, to implement a parallel `supy` for the impact studies in this tutorial."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Given the nature of impact studies that requires multiple independent models with selected parameters/variables varying across the setups, such simulations well fall into the scope of so-called [*embarrassingly parallel computation*](http://docs.dask.org/en/latest/use-cases.html#embarrassingly-parallel-computation) that is fully supported by `dask`. Also, as `supy` is readily built on the data structure `pandas.DataFrame`, we can fairly easily transfer it to the `dask` framework for parallel operations.\n",
    "\n",
    "Internally, for a given forcing dataset `df_forcing`, `supy` loops over the grids in a `df_state_init` to conduct simulations. In this case, we can adapt the `df_state_init` to a `dask`-ed version to gain the parallel benefits through its parallelized `apply` method.\n",
    "\n",
    "`dask.dataframe` essentially divides the work into pieces for parallel operations. As such, depending on the number of processors in your computer, it would be more efficient to set the partition number as the multipliers of CPU numbers."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-02-16T22:30:24.657118Z",
     "start_time": "2019-02-16T22:30:24.645491Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "machine : x86_64\n",
      "system : Darwin\n",
      "mac_ver : ('10.14.3', ('', '', ''), 'x86_64')\n",
      "processor : i386\n",
      "number of CPU processors: 12\n",
      "memory size (GB): 32.0\n"
     ]
    }
   ],
   "source": [
    "import platform\n",
    "import psutil\n",
    "list_info=['machine','system','mac_ver','processor']\n",
    "for info in list_info:\n",
    "    info_x=getattr(platform,info)()\n",
    "    print(info,':',info_x)\n",
    "cpu_count=psutil.cpu_count()\n",
    "print('number of CPU processors:',cpu_count)\n",
    "mem_size=psutil.virtual_memory().total/1024**3\n",
    "print('memory size (GB):',mem_size)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To demonstrate the parallelization, we simply duplicate the contents in `df_state_init` to make it seemingly large. Note we intentionally choose `24` as the number for copies to accompany the power of CPU.\n",
    "\n",
    "Before we move on to the parallel mode, we perform a simulation in the traditional serial way to see the baseline performance."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Baseline serial  run"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-02-16T22:30:48.087194Z",
     "start_time": "2019-02-16T22:30:24.933621Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Execution time: 23.06 s\n"
     ]
    }
   ],
   "source": [
    "# just run for 30 days\n",
    "df_forcing_part = df_forcing.iloc[:288*30]\n",
    "df_state_init_mgrids = df_state_init.copy()\n",
    "# construct a multi-grid `df_state_init`\n",
    "for i in range(24-1):\n",
    "    df_state_init_mgrids = df_state_init_mgrids.append(\n",
    "        df_state_init, ignore_index=True)\n",
    "# perform a serial run\n",
    "t0 = time()\n",
    "xx = sp.run_supy(df_forcing_part, df_state_init_mgrids)\n",
    "t1 = time()\n",
    "t_ser = t1-t0\n",
    "print(f'Execution time: {t_ser:.2f} s')\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Parallel  run"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-02-16T22:30:55.777808Z",
     "start_time": "2019-02-16T22:30:48.711417Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Execution time: 7.05 s\n"
     ]
    }
   ],
   "source": [
    "# convert `pandas.DataFrame` to `dask.dataframe` to enable parallelization\n",
    "dd_state_init = dd.from_pandas(\n",
    "    df_state_init_mgrids,\n",
    "    npartitions=os.cpu_count()*2)\n",
    "\n",
    "# perform a parallel run using `map_partitions`\n",
    "t0 = time()\n",
    "xx_mp = dd_state_init\\\n",
    "    .map_partitions(\n",
    "        lambda x: sp.run_supy(df_forcing_part, x)[0],\n",
    "        meta=df_output)\\\n",
    "    .compute(scheduler='processes')\n",
    "t1 = time()\n",
    "t_par = t1-t0\n",
    "print(f'Execution time: {t_par:.2f} s')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Check the data structure of  `xx_mp`:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-02-08T09:05:57.462852Z",
     "start_time": "2019-02-08T09:05:57.429624Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead tr th {\n",
       "        text-align: left;\n",
       "    }\n",
       "\n",
       "    .dataframe thead tr:last-of-type th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr>\n",
       "      <th></th>\n",
       "      <th>group</th>\n",
       "      <th colspan=\"10\" halign=\"left\">SUEWS</th>\n",
       "      <th>...</th>\n",
       "      <th colspan=\"10\" halign=\"left\">DailyState</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th></th>\n",
       "      <th>var</th>\n",
       "      <th>Kdown</th>\n",
       "      <th>Kup</th>\n",
       "      <th>Ldown</th>\n",
       "      <th>Lup</th>\n",
       "      <th>Tsurf</th>\n",
       "      <th>QN</th>\n",
       "      <th>QF</th>\n",
       "      <th>QS</th>\n",
       "      <th>QH</th>\n",
       "      <th>QE</th>\n",
       "      <th>...</th>\n",
       "      <th>DensSnow_Paved</th>\n",
       "      <th>DensSnow_Bldgs</th>\n",
       "      <th>DensSnow_EveTr</th>\n",
       "      <th>DensSnow_DecTr</th>\n",
       "      <th>DensSnow_Grass</th>\n",
       "      <th>DensSnow_BSoil</th>\n",
       "      <th>DensSnow_Water</th>\n",
       "      <th>a1</th>\n",
       "      <th>a2</th>\n",
       "      <th>a3</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>grid</th>\n",
       "      <th>datetime</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th rowspan=\"5\" valign=\"top\">0</th>\n",
       "      <th>2012-01-01 00:05:00</th>\n",
       "      <td>0.153333</td>\n",
       "      <td>0.018279</td>\n",
       "      <td>344.310184</td>\n",
       "      <td>371.986259</td>\n",
       "      <td>11.775615</td>\n",
       "      <td>-27.541021</td>\n",
       "      <td>40.574001</td>\n",
       "      <td>-46.53243</td>\n",
       "      <td>62.420064</td>\n",
       "      <td>3.576493</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2012-01-01 00:10:00</th>\n",
       "      <td>0.153333</td>\n",
       "      <td>0.018279</td>\n",
       "      <td>344.310184</td>\n",
       "      <td>371.986259</td>\n",
       "      <td>11.775615</td>\n",
       "      <td>-27.541021</td>\n",
       "      <td>39.724283</td>\n",
       "      <td>-46.53243</td>\n",
       "      <td>61.654096</td>\n",
       "      <td>3.492744</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2012-01-01 00:15:00</th>\n",
       "      <td>0.153333</td>\n",
       "      <td>0.018279</td>\n",
       "      <td>344.310184</td>\n",
       "      <td>371.986259</td>\n",
       "      <td>11.775615</td>\n",
       "      <td>-27.541021</td>\n",
       "      <td>38.874566</td>\n",
       "      <td>-46.53243</td>\n",
       "      <td>60.885968</td>\n",
       "      <td>3.411154</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2012-01-01 00:20:00</th>\n",
       "      <td>0.153333</td>\n",
       "      <td>0.018279</td>\n",
       "      <td>344.310184</td>\n",
       "      <td>371.986259</td>\n",
       "      <td>11.775615</td>\n",
       "      <td>-27.541021</td>\n",
       "      <td>38.024849</td>\n",
       "      <td>-46.53243</td>\n",
       "      <td>60.115745</td>\n",
       "      <td>3.331660</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2012-01-01 00:25:00</th>\n",
       "      <td>0.153333</td>\n",
       "      <td>0.018279</td>\n",
       "      <td>344.310184</td>\n",
       "      <td>371.986259</td>\n",
       "      <td>11.775615</td>\n",
       "      <td>-27.541021</td>\n",
       "      <td>37.175131</td>\n",
       "      <td>-46.53243</td>\n",
       "      <td>59.343488</td>\n",
       "      <td>3.254200</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>5 rows × 218 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "group                        SUEWS                                    \\\n",
       "var                          Kdown       Kup       Ldown         Lup   \n",
       "grid datetime                                                          \n",
       "0    2012-01-01 00:05:00  0.153333  0.018279  344.310184  371.986259   \n",
       "     2012-01-01 00:10:00  0.153333  0.018279  344.310184  371.986259   \n",
       "     2012-01-01 00:15:00  0.153333  0.018279  344.310184  371.986259   \n",
       "     2012-01-01 00:20:00  0.153333  0.018279  344.310184  371.986259   \n",
       "     2012-01-01 00:25:00  0.153333  0.018279  344.310184  371.986259   \n",
       "\n",
       "group                                                                \\\n",
       "var                           Tsurf         QN         QF        QS   \n",
       "grid datetime                                                         \n",
       "0    2012-01-01 00:05:00  11.775615 -27.541021  40.574001 -46.53243   \n",
       "     2012-01-01 00:10:00  11.775615 -27.541021  39.724283 -46.53243   \n",
       "     2012-01-01 00:15:00  11.775615 -27.541021  38.874566 -46.53243   \n",
       "     2012-01-01 00:20:00  11.775615 -27.541021  38.024849 -46.53243   \n",
       "     2012-01-01 00:25:00  11.775615 -27.541021  37.175131 -46.53243   \n",
       "\n",
       "group                                         ...     DailyState  \\\n",
       "var                              QH        QE ... DensSnow_Paved   \n",
       "grid datetime                                 ...                  \n",
       "0    2012-01-01 00:05:00  62.420064  3.576493 ...            NaN   \n",
       "     2012-01-01 00:10:00  61.654096  3.492744 ...            NaN   \n",
       "     2012-01-01 00:15:00  60.885968  3.411154 ...            NaN   \n",
       "     2012-01-01 00:20:00  60.115745  3.331660 ...            NaN   \n",
       "     2012-01-01 00:25:00  59.343488  3.254200 ...            NaN   \n",
       "\n",
       "group                                                                  \\\n",
       "var                      DensSnow_Bldgs DensSnow_EveTr DensSnow_DecTr   \n",
       "grid datetime                                                           \n",
       "0    2012-01-01 00:05:00            NaN            NaN            NaN   \n",
       "     2012-01-01 00:10:00            NaN            NaN            NaN   \n",
       "     2012-01-01 00:15:00            NaN            NaN            NaN   \n",
       "     2012-01-01 00:20:00            NaN            NaN            NaN   \n",
       "     2012-01-01 00:25:00            NaN            NaN            NaN   \n",
       "\n",
       "group                                                                          \\\n",
       "var                      DensSnow_Grass DensSnow_BSoil DensSnow_Water  a1  a2   \n",
       "grid datetime                                                                   \n",
       "0    2012-01-01 00:05:00            NaN            NaN            NaN NaN NaN   \n",
       "     2012-01-01 00:10:00            NaN            NaN            NaN NaN NaN   \n",
       "     2012-01-01 00:15:00            NaN            NaN            NaN NaN NaN   \n",
       "     2012-01-01 00:20:00            NaN            NaN            NaN NaN NaN   \n",
       "     2012-01-01 00:25:00            NaN            NaN            NaN NaN NaN   \n",
       "\n",
       "group                         \n",
       "var                       a3  \n",
       "grid datetime                 \n",
       "0    2012-01-01 00:05:00 NaN  \n",
       "     2012-01-01 00:10:00 NaN  \n",
       "     2012-01-01 00:15:00 NaN  \n",
       "     2012-01-01 00:20:00 NaN  \n",
       "     2012-01-01 00:25:00 NaN  \n",
       "\n",
       "[5 rows x 218 columns]"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "xx_mp.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-01-06T00:28:11.252000Z",
     "start_time": "2019-01-06T00:28:11.248551Z"
    }
   },
   "source": [
    "Perform a parallel run using `apply`:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-02-16T22:31:08.428776Z",
     "start_time": "2019-02-16T22:30:58.416411Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Execution time: 9.98 s\n"
     ]
    }
   ],
   "source": [
    "# perform a parallel run using `apply`\n",
    "t0 = time()\n",
    "xx_apply = dd_state_init\\\n",
    "    .apply(\n",
    "        lambda x: sp.run_supy(df_forcing_part, x.to_frame().T)[0],\n",
    "        axis=1,\n",
    "        meta=df_output.iloc[0],\n",
    "    )\\\n",
    "    .compute(scheduler='processes')\n",
    "t1 = time()\n",
    "t_par = t1 - t0\n",
    "print(f'Execution time: {t_par:.2f} s')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Check the data structure of  `xx_apply`.\n",
    "Note the difference in resulted data structure between `xx_apply` and `xx_mp`:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-02-16T22:31:11.835927Z",
     "start_time": "2019-02-16T22:31:11.725491Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0    group                        SUEWS            ...\n",
       "1    group                        SUEWS            ...\n",
       "2    group                        SUEWS            ...\n",
       "3    group                        SUEWS            ...\n",
       "4    group                        SUEWS            ...\n",
       "Name: (98, 2012-01-01 00:05:00), dtype: object"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "xx_apply.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Wrap up the above code into a function for easier use in multi-grid simulations"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-02-16T22:31:15.138074Z",
     "start_time": "2019-02-16T22:31:15.134770Z"
    }
   },
   "outputs": [],
   "source": [
    "# function for multi-grid `run_supy` using map_partitions for better performance\n",
    "def run_supy_mgrids(df_state_init_mgrids, df_forcing):\n",
    "    dd_state_init = dd.from_pandas(\n",
    "        df_state_init_mgrids,\n",
    "        npartitions=os.cpu_count()*2)\n",
    "    df_output_mgrids = dd_state_init\\\n",
    "        .map_partitions(\n",
    "            lambda x: sp.run_supy(df_forcing, x)[0],\n",
    "            meta=df_output)\\\n",
    "        .compute(scheduler='processes')\n",
    "    return df_output_mgrids"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "heading_collapsed": true
   },
   "source": [
    "#### Benchmark test\n",
    "\n",
    "*Note: this test may take a considerably long time depending on the machine performance*"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-02-08T09:32:40.009332Z",
     "start_time": "2019-02-08T09:06:08.017417Z"
    },
    "hidden": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Sim days: 30.0\n",
      "No. of grids: 12\n",
      "serial:\n",
      "Execution time: 10.62 s\n",
      "parallel:\n",
      "Execution time: 3.99 s\n",
      "\n",
      "Sim days: 90.0\n",
      "No. of grids: 12\n",
      "serial:\n",
      "Execution time: 37.36 s\n",
      "parallel:\n",
      "Execution time: 19.63 s\n",
      "\n",
      "Sim days: 120.0\n",
      "No. of grids: 12\n",
      "serial:\n",
      "Execution time: 51.14 s\n",
      "parallel:\n",
      "Execution time: 28.22 s\n",
      "\n",
      "Sim days: 150.0\n",
      "No. of grids: 12\n",
      "serial:\n",
      "Execution time: 58.08 s\n",
      "parallel:\n",
      "Execution time: 35.20 s\n",
      "\n",
      "Sim days: 180.0\n",
      "No. of grids: 12\n",
      "serial:\n",
      "Execution time: 67.24 s\n",
      "parallel:\n",
      "Execution time: 50.90 s\n",
      "\n",
      "Sim days: 270.0\n",
      "No. of grids: 12\n",
      "serial:\n",
      "Execution time: 97.64 s\n",
      "parallel:\n",
      "Execution time: 63.56 s\n",
      "\n",
      "Sim days: 365.0\n",
      "No. of grids: 12\n",
      "serial:\n",
      "Execution time: 125.39 s\n",
      "parallel:\n",
      "Execution time: 66.33 s\n",
      "\n",
      "Sim days: 730.0\n",
      "No. of grids: 12\n",
      "serial:\n",
      "Execution time: 250.16 s\n",
      "parallel:\n",
      "Execution time: 97.39 s\n",
      "\n",
      "Sim days: 1095.0\n",
      "No. of grids: 12\n",
      "serial:\n",
      "Execution time: 381.80 s\n",
      "parallel:\n",
      "Execution time: 147.22 s\n",
      "\n"
     ]
    }
   ],
   "source": [
    "# different running length\n",
    "list_sim_len = [\n",
    "    day * 288 for day in [30, 90, 120, 150, 180, 270, 365, 365 * 2, 365 * 3]\n",
    "]\n",
    "\n",
    "# number of test grids \n",
    "n_grid = 12\n",
    "\n",
    "# construct a multi-grid `df_state_init`\n",
    "df_state_init_m = df_state_init.copy()\n",
    "for i in range(n_grid - 1):\n",
    "    df_state_init_m = df_state_init_m.append(df_state_init, ignore_index=True)\n",
    "\n",
    "# construct a longer`df_forcing` for three years\n",
    "df_forcing_m = pd.concat([df_forcing for i in range(3)])\n",
    "df_forcing_m.index = pd.date_range(\n",
    "    df_forcing.index[0],\n",
    "    freq=df_forcing.index.freq,\n",
    "    periods=df_forcing_m.index.size)\n",
    "\n",
    "dict_time_ser = dict()\n",
    "dict_time_par = dict()\n",
    "for sim_len in list_sim_len:\n",
    "    df_forcing_part = df_forcing_m.iloc[:sim_len]\n",
    "    print('Sim days:', sim_len / 288)\n",
    "    print('No. of grids:', df_state_init_m.shape[0])\n",
    "    # serial run\n",
    "    print('serial:')\n",
    "    t0 = time()\n",
    "    sp.run_supy(df_forcing_part, df_state_init_m)\n",
    "    t1 = time()\n",
    "    t_test = t1 - t0\n",
    "    print(f'Execution time: {t_test:.2f} s')\n",
    "    #     print()\n",
    "    dict_time_ser.update({sim_len: t_test})\n",
    "\n",
    "    # parallel run\n",
    "    print('parallel:')\n",
    "    t0 = time()\n",
    "    run_supy_mgrids(df_state_init_m, df_forcing_part)\n",
    "    t1 = time()\n",
    "    t_test = t1 - t0\n",
    "    print(f'Execution time: {t_test:.2f} s')\n",
    "    print()\n",
    "    dict_time_par.update({sim_len: t_test})"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-02-08T09:32:40.360258Z",
     "start_time": "2019-02-08T09:32:40.017198Z"
    },
    "hidden": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'Execution Ratio (=p/s)')"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/svg+xml": [
       "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n",
       "<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n",
       "  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n",
       "<!-- Created with matplotlib (https://matplotlib.org/) -->\n",
       "<svg height=\"265.69625pt\" version=\"1.1\" viewBox=\"0 0 431.909375 265.69625\" width=\"431.909375pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
       " <defs>\n",
       "  <style type=\"text/css\">\n",
       "*{stroke-linecap:butt;stroke-linejoin:round;}\n",
       "  </style>\n",
       " </defs>\n",
       " <g id=\"figure_1\">\n",
       "  <g id=\"patch_1\">\n",
       "   <path d=\"M 0 265.69625 \n",
       "L 431.909375 265.69625 \n",
       "L 431.909375 0 \n",
       "L 0 0 \n",
       "z\n",
       "\" style=\"fill:none;\"/>\n",
       "  </g>\n",
       "  <g id=\"axes_1\">\n",
       "   <g id=\"patch_2\">\n",
       "    <path d=\"M 46.965625 228.14 \n",
       "L 381.765625 228.14 \n",
       "L 381.765625 10.7 \n",
       "L 46.965625 10.7 \n",
       "z\n",
       "\" style=\"fill:#ffffff;\"/>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_1\">\n",
       "    <g id=\"xtick_1\">\n",
       "     <g id=\"line2d_1\">\n",
       "      <defs>\n",
       "       <path d=\"M 0 0 \n",
       "L 0 3.5 \n",
       "\" id=\"m8cb7055384\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"53.610183\" xlink:href=\"#m8cb7055384\" y=\"228.14\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_1\">\n",
       "      <!-- 0 -->\n",
       "      <defs>\n",
       "       <path d=\"M 31.78125 66.40625 \n",
       "Q 24.171875 66.40625 20.328125 58.90625 \n",
       "Q 16.5 51.421875 16.5 36.375 \n",
       "Q 16.5 21.390625 20.328125 13.890625 \n",
       "Q 24.171875 6.390625 31.78125 6.390625 \n",
       "Q 39.453125 6.390625 43.28125 13.890625 \n",
       "Q 47.125 21.390625 47.125 36.375 \n",
       "Q 47.125 51.421875 43.28125 58.90625 \n",
       "Q 39.453125 66.40625 31.78125 66.40625 \n",
       "z\n",
       "M 31.78125 74.21875 \n",
       "Q 44.046875 74.21875 50.515625 64.515625 \n",
       "Q 56.984375 54.828125 56.984375 36.375 \n",
       "Q 56.984375 17.96875 50.515625 8.265625 \n",
       "Q 44.046875 -1.421875 31.78125 -1.421875 \n",
       "Q 19.53125 -1.421875 13.0625 8.265625 \n",
       "Q 6.59375 17.96875 6.59375 36.375 \n",
       "Q 6.59375 54.828125 13.0625 64.515625 \n",
       "Q 19.53125 74.21875 31.78125 74.21875 \n",
       "z\n",
       "\" id=\"DejaVuSans-48\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(50.428933 242.738437)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_2\">\n",
       "     <g id=\"line2d_2\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"110.767674\" xlink:href=\"#m8cb7055384\" y=\"228.14\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_2\">\n",
       "      <!-- 200 -->\n",
       "      <defs>\n",
       "       <path d=\"M 19.1875 8.296875 \n",
       "L 53.609375 8.296875 \n",
       "L 53.609375 0 \n",
       "L 7.328125 0 \n",
       "L 7.328125 8.296875 \n",
       "Q 12.9375 14.109375 22.625 23.890625 \n",
       "Q 32.328125 33.6875 34.8125 36.53125 \n",
       "Q 39.546875 41.84375 41.421875 45.53125 \n",
       "Q 43.3125 49.21875 43.3125 52.78125 \n",
       "Q 43.3125 58.59375 39.234375 62.25 \n",
       "Q 35.15625 65.921875 28.609375 65.921875 \n",
       "Q 23.96875 65.921875 18.8125 64.3125 \n",
       "Q 13.671875 62.703125 7.8125 59.421875 \n",
       "L 7.8125 69.390625 \n",
       "Q 13.765625 71.78125 18.9375 73 \n",
       "Q 24.125 74.21875 28.421875 74.21875 \n",
       "Q 39.75 74.21875 46.484375 68.546875 \n",
       "Q 53.21875 62.890625 53.21875 53.421875 \n",
       "Q 53.21875 48.921875 51.53125 44.890625 \n",
       "Q 49.859375 40.875 45.40625 35.40625 \n",
       "Q 44.1875 33.984375 37.640625 27.21875 \n",
       "Q 31.109375 20.453125 19.1875 8.296875 \n",
       "z\n",
       "\" id=\"DejaVuSans-50\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(101.223924 242.738437)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-50\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_3\">\n",
       "     <g id=\"line2d_3\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"167.925164\" xlink:href=\"#m8cb7055384\" y=\"228.14\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_3\">\n",
       "      <!-- 400 -->\n",
       "      <defs>\n",
       "       <path d=\"M 37.796875 64.3125 \n",
       "L 12.890625 25.390625 \n",
       "L 37.796875 25.390625 \n",
       "z\n",
       "M 35.203125 72.90625 \n",
       "L 47.609375 72.90625 \n",
       "L 47.609375 25.390625 \n",
       "L 58.015625 25.390625 \n",
       "L 58.015625 17.1875 \n",
       "L 47.609375 17.1875 \n",
       "L 47.609375 0 \n",
       "L 37.796875 0 \n",
       "L 37.796875 17.1875 \n",
       "L 4.890625 17.1875 \n",
       "L 4.890625 26.703125 \n",
       "z\n",
       "\" id=\"DejaVuSans-52\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(158.381414 242.738437)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-52\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_4\">\n",
       "     <g id=\"line2d_4\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"225.082654\" xlink:href=\"#m8cb7055384\" y=\"228.14\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_4\">\n",
       "      <!-- 600 -->\n",
       "      <defs>\n",
       "       <path d=\"M 33.015625 40.375 \n",
       "Q 26.375 40.375 22.484375 35.828125 \n",
       "Q 18.609375 31.296875 18.609375 23.390625 \n",
       "Q 18.609375 15.53125 22.484375 10.953125 \n",
       "Q 26.375 6.390625 33.015625 6.390625 \n",
       "Q 39.65625 6.390625 43.53125 10.953125 \n",
       "Q 47.40625 15.53125 47.40625 23.390625 \n",
       "Q 47.40625 31.296875 43.53125 35.828125 \n",
       "Q 39.65625 40.375 33.015625 40.375 \n",
       "z\n",
       "M 52.59375 71.296875 \n",
       "L 52.59375 62.3125 \n",
       "Q 48.875 64.0625 45.09375 64.984375 \n",
       "Q 41.3125 65.921875 37.59375 65.921875 \n",
       "Q 27.828125 65.921875 22.671875 59.328125 \n",
       "Q 17.53125 52.734375 16.796875 39.40625 \n",
       "Q 19.671875 43.65625 24.015625 45.921875 \n",
       "Q 28.375 48.1875 33.59375 48.1875 \n",
       "Q 44.578125 48.1875 50.953125 41.515625 \n",
       "Q 57.328125 34.859375 57.328125 23.390625 \n",
       "Q 57.328125 12.15625 50.6875 5.359375 \n",
       "Q 44.046875 -1.421875 33.015625 -1.421875 \n",
       "Q 20.359375 -1.421875 13.671875 8.265625 \n",
       "Q 6.984375 17.96875 6.984375 36.375 \n",
       "Q 6.984375 53.65625 15.1875 63.9375 \n",
       "Q 23.390625 74.21875 37.203125 74.21875 \n",
       "Q 40.921875 74.21875 44.703125 73.484375 \n",
       "Q 48.484375 72.75 52.59375 71.296875 \n",
       "z\n",
       "\" id=\"DejaVuSans-54\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(215.538904 242.738437)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-54\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_5\">\n",
       "     <g id=\"line2d_5\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"282.240145\" xlink:href=\"#m8cb7055384\" y=\"228.14\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_5\">\n",
       "      <!-- 800 -->\n",
       "      <defs>\n",
       "       <path d=\"M 31.78125 34.625 \n",
       "Q 24.75 34.625 20.71875 30.859375 \n",
       "Q 16.703125 27.09375 16.703125 20.515625 \n",
       "Q 16.703125 13.921875 20.71875 10.15625 \n",
       "Q 24.75 6.390625 31.78125 6.390625 \n",
       "Q 38.8125 6.390625 42.859375 10.171875 \n",
       "Q 46.921875 13.96875 46.921875 20.515625 \n",
       "Q 46.921875 27.09375 42.890625 30.859375 \n",
       "Q 38.875 34.625 31.78125 34.625 \n",
       "z\n",
       "M 21.921875 38.8125 \n",
       "Q 15.578125 40.375 12.03125 44.71875 \n",
       "Q 8.5 49.078125 8.5 55.328125 \n",
       "Q 8.5 64.0625 14.71875 69.140625 \n",
       "Q 20.953125 74.21875 31.78125 74.21875 \n",
       "Q 42.671875 74.21875 48.875 69.140625 \n",
       "Q 55.078125 64.0625 55.078125 55.328125 \n",
       "Q 55.078125 49.078125 51.53125 44.71875 \n",
       "Q 48 40.375 41.703125 38.8125 \n",
       "Q 48.828125 37.15625 52.796875 32.3125 \n",
       "Q 56.78125 27.484375 56.78125 20.515625 \n",
       "Q 56.78125 9.90625 50.3125 4.234375 \n",
       "Q 43.84375 -1.421875 31.78125 -1.421875 \n",
       "Q 19.734375 -1.421875 13.25 4.234375 \n",
       "Q 6.78125 9.90625 6.78125 20.515625 \n",
       "Q 6.78125 27.484375 10.78125 32.3125 \n",
       "Q 14.796875 37.15625 21.921875 38.8125 \n",
       "z\n",
       "M 18.3125 54.390625 \n",
       "Q 18.3125 48.734375 21.84375 45.5625 \n",
       "Q 25.390625 42.390625 31.78125 42.390625 \n",
       "Q 38.140625 42.390625 41.71875 45.5625 \n",
       "Q 45.3125 48.734375 45.3125 54.390625 \n",
       "Q 45.3125 60.0625 41.71875 63.234375 \n",
       "Q 38.140625 66.40625 31.78125 66.40625 \n",
       "Q 25.390625 66.40625 21.84375 63.234375 \n",
       "Q 18.3125 60.0625 18.3125 54.390625 \n",
       "z\n",
       "\" id=\"DejaVuSans-56\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(272.696395 242.738437)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-56\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_6\">\n",
       "     <g id=\"line2d_6\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"339.397635\" xlink:href=\"#m8cb7055384\" y=\"228.14\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_6\">\n",
       "      <!-- 1000 -->\n",
       "      <defs>\n",
       "       <path d=\"M 12.40625 8.296875 \n",
       "L 28.515625 8.296875 \n",
       "L 28.515625 63.921875 \n",
       "L 10.984375 60.40625 \n",
       "L 10.984375 69.390625 \n",
       "L 28.421875 72.90625 \n",
       "L 38.28125 72.90625 \n",
       "L 38.28125 8.296875 \n",
       "L 54.390625 8.296875 \n",
       "L 54.390625 0 \n",
       "L 12.40625 0 \n",
       "z\n",
       "\" id=\"DejaVuSans-49\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(326.672635 242.738437)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-49\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"text_7\">\n",
       "     <!-- Length of Simulation Period (day) -->\n",
       "     <defs>\n",
       "      <path d=\"M 9.8125 72.90625 \n",
       "L 19.671875 72.90625 \n",
       "L 19.671875 8.296875 \n",
       "L 55.171875 8.296875 \n",
       "L 55.171875 0 \n",
       "L 9.8125 0 \n",
       "z\n",
       "\" id=\"DejaVuSans-76\"/>\n",
       "      <path d=\"M 56.203125 29.59375 \n",
       "L 56.203125 25.203125 \n",
       "L 14.890625 25.203125 \n",
       "Q 15.484375 15.921875 20.484375 11.0625 \n",
       "Q 25.484375 6.203125 34.421875 6.203125 \n",
       "Q 39.59375 6.203125 44.453125 7.46875 \n",
       "Q 49.3125 8.734375 54.109375 11.28125 \n",
       "L 54.109375 2.78125 \n",
       "Q 49.265625 0.734375 44.1875 -0.34375 \n",
       "Q 39.109375 -1.421875 33.890625 -1.421875 \n",
       "Q 20.796875 -1.421875 13.15625 6.1875 \n",
       "Q 5.515625 13.8125 5.515625 26.8125 \n",
       "Q 5.515625 40.234375 12.765625 48.109375 \n",
       "Q 20.015625 56 32.328125 56 \n",
       "Q 43.359375 56 49.78125 48.890625 \n",
       "Q 56.203125 41.796875 56.203125 29.59375 \n",
       "z\n",
       "M 47.21875 32.234375 \n",
       "Q 47.125 39.59375 43.09375 43.984375 \n",
       "Q 39.0625 48.390625 32.421875 48.390625 \n",
       "Q 24.90625 48.390625 20.390625 44.140625 \n",
       "Q 15.875 39.890625 15.1875 32.171875 \n",
       "z\n",
       "\" id=\"DejaVuSans-101\"/>\n",
       "      <path d=\"M 54.890625 33.015625 \n",
       "L 54.890625 0 \n",
       "L 45.90625 0 \n",
       "L 45.90625 32.71875 \n",
       "Q 45.90625 40.484375 42.875 44.328125 \n",
       "Q 39.84375 48.1875 33.796875 48.1875 \n",
       "Q 26.515625 48.1875 22.3125 43.546875 \n",
       "Q 18.109375 38.921875 18.109375 30.90625 \n",
       "L 18.109375 0 \n",
       "L 9.078125 0 \n",
       "L 9.078125 54.6875 \n",
       "L 18.109375 54.6875 \n",
       "L 18.109375 46.1875 \n",
       "Q 21.34375 51.125 25.703125 53.5625 \n",
       "Q 30.078125 56 35.796875 56 \n",
       "Q 45.21875 56 50.046875 50.171875 \n",
       "Q 54.890625 44.34375 54.890625 33.015625 \n",
       "z\n",
       "\" id=\"DejaVuSans-110\"/>\n",
       "      <path d=\"M 45.40625 27.984375 \n",
       "Q 45.40625 37.75 41.375 43.109375 \n",
       "Q 37.359375 48.484375 30.078125 48.484375 \n",
       "Q 22.859375 48.484375 18.828125 43.109375 \n",
       "Q 14.796875 37.75 14.796875 27.984375 \n",
       "Q 14.796875 18.265625 18.828125 12.890625 \n",
       "Q 22.859375 7.515625 30.078125 7.515625 \n",
       "Q 37.359375 7.515625 41.375 12.890625 \n",
       "Q 45.40625 18.265625 45.40625 27.984375 \n",
       "z\n",
       "M 54.390625 6.78125 \n",
       "Q 54.390625 -7.171875 48.1875 -13.984375 \n",
       "Q 42 -20.796875 29.203125 -20.796875 \n",
       "Q 24.46875 -20.796875 20.265625 -20.09375 \n",
       "Q 16.0625 -19.390625 12.109375 -17.921875 \n",
       "L 12.109375 -9.1875 \n",
       "Q 16.0625 -11.328125 19.921875 -12.34375 \n",
       "Q 23.78125 -13.375 27.78125 -13.375 \n",
       "Q 36.625 -13.375 41.015625 -8.765625 \n",
       "Q 45.40625 -4.15625 45.40625 5.171875 \n",
       "L 45.40625 9.625 \n",
       "Q 42.625 4.78125 38.28125 2.390625 \n",
       "Q 33.9375 0 27.875 0 \n",
       "Q 17.828125 0 11.671875 7.65625 \n",
       "Q 5.515625 15.328125 5.515625 27.984375 \n",
       "Q 5.515625 40.671875 11.671875 48.328125 \n",
       "Q 17.828125 56 27.875 56 \n",
       "Q 33.9375 56 38.28125 53.609375 \n",
       "Q 42.625 51.21875 45.40625 46.390625 \n",
       "L 45.40625 54.6875 \n",
       "L 54.390625 54.6875 \n",
       "z\n",
       "\" id=\"DejaVuSans-103\"/>\n",
       "      <path d=\"M 18.3125 70.21875 \n",
       "L 18.3125 54.6875 \n",
       "L 36.8125 54.6875 \n",
       "L 36.8125 47.703125 \n",
       "L 18.3125 47.703125 \n",
       "L 18.3125 18.015625 \n",
       "Q 18.3125 11.328125 20.140625 9.421875 \n",
       "Q 21.96875 7.515625 27.59375 7.515625 \n",
       "L 36.8125 7.515625 \n",
       "L 36.8125 0 \n",
       "L 27.59375 0 \n",
       "Q 17.1875 0 13.234375 3.875 \n",
       "Q 9.28125 7.765625 9.28125 18.015625 \n",
       "L 9.28125 47.703125 \n",
       "L 2.6875 47.703125 \n",
       "L 2.6875 54.6875 \n",
       "L 9.28125 54.6875 \n",
       "L 9.28125 70.21875 \n",
       "z\n",
       "\" id=\"DejaVuSans-116\"/>\n",
       "      <path d=\"M 54.890625 33.015625 \n",
       "L 54.890625 0 \n",
       "L 45.90625 0 \n",
       "L 45.90625 32.71875 \n",
       "Q 45.90625 40.484375 42.875 44.328125 \n",
       "Q 39.84375 48.1875 33.796875 48.1875 \n",
       "Q 26.515625 48.1875 22.3125 43.546875 \n",
       "Q 18.109375 38.921875 18.109375 30.90625 \n",
       "L 18.109375 0 \n",
       "L 9.078125 0 \n",
       "L 9.078125 75.984375 \n",
       "L 18.109375 75.984375 \n",
       "L 18.109375 46.1875 \n",
       "Q 21.34375 51.125 25.703125 53.5625 \n",
       "Q 30.078125 56 35.796875 56 \n",
       "Q 45.21875 56 50.046875 50.171875 \n",
       "Q 54.890625 44.34375 54.890625 33.015625 \n",
       "z\n",
       "\" id=\"DejaVuSans-104\"/>\n",
       "      <path id=\"DejaVuSans-32\"/>\n",
       "      <path d=\"M 30.609375 48.390625 \n",
       "Q 23.390625 48.390625 19.1875 42.75 \n",
       "Q 14.984375 37.109375 14.984375 27.296875 \n",
       "Q 14.984375 17.484375 19.15625 11.84375 \n",
       "Q 23.34375 6.203125 30.609375 6.203125 \n",
       "Q 37.796875 6.203125 41.984375 11.859375 \n",
       "Q 46.1875 17.53125 46.1875 27.296875 \n",
       "Q 46.1875 37.015625 41.984375 42.703125 \n",
       "Q 37.796875 48.390625 30.609375 48.390625 \n",
       "z\n",
       "M 30.609375 56 \n",
       "Q 42.328125 56 49.015625 48.375 \n",
       "Q 55.71875 40.765625 55.71875 27.296875 \n",
       "Q 55.71875 13.875 49.015625 6.21875 \n",
       "Q 42.328125 -1.421875 30.609375 -1.421875 \n",
       "Q 18.84375 -1.421875 12.171875 6.21875 \n",
       "Q 5.515625 13.875 5.515625 27.296875 \n",
       "Q 5.515625 40.765625 12.171875 48.375 \n",
       "Q 18.84375 56 30.609375 56 \n",
       "z\n",
       "\" id=\"DejaVuSans-111\"/>\n",
       "      <path d=\"M 37.109375 75.984375 \n",
       "L 37.109375 68.5 \n",
       "L 28.515625 68.5 \n",
       "Q 23.6875 68.5 21.796875 66.546875 \n",
       "Q 19.921875 64.59375 19.921875 59.515625 \n",
       "L 19.921875 54.6875 \n",
       "L 34.71875 54.6875 \n",
       "L 34.71875 47.703125 \n",
       "L 19.921875 47.703125 \n",
       "L 19.921875 0 \n",
       "L 10.890625 0 \n",
       "L 10.890625 47.703125 \n",
       "L 2.296875 47.703125 \n",
       "L 2.296875 54.6875 \n",
       "L 10.890625 54.6875 \n",
       "L 10.890625 58.5 \n",
       "Q 10.890625 67.625 15.140625 71.796875 \n",
       "Q 19.390625 75.984375 28.609375 75.984375 \n",
       "z\n",
       "\" id=\"DejaVuSans-102\"/>\n",
       "      <path d=\"M 53.515625 70.515625 \n",
       "L 53.515625 60.890625 \n",
       "Q 47.90625 63.578125 42.921875 64.890625 \n",
       "Q 37.9375 66.21875 33.296875 66.21875 \n",
       "Q 25.25 66.21875 20.875 63.09375 \n",
       "Q 16.5 59.96875 16.5 54.203125 \n",
       "Q 16.5 49.359375 19.40625 46.890625 \n",
       "Q 22.3125 44.4375 30.421875 42.921875 \n",
       "L 36.375 41.703125 \n",
       "Q 47.40625 39.59375 52.65625 34.296875 \n",
       "Q 57.90625 29 57.90625 20.125 \n",
       "Q 57.90625 9.515625 50.796875 4.046875 \n",
       "Q 43.703125 -1.421875 29.984375 -1.421875 \n",
       "Q 24.8125 -1.421875 18.96875 -0.25 \n",
       "Q 13.140625 0.921875 6.890625 3.21875 \n",
       "L 6.890625 13.375 \n",
       "Q 12.890625 10.015625 18.65625 8.296875 \n",
       "Q 24.421875 6.59375 29.984375 6.59375 \n",
       "Q 38.421875 6.59375 43.015625 9.90625 \n",
       "Q 47.609375 13.234375 47.609375 19.390625 \n",
       "Q 47.609375 24.75 44.3125 27.78125 \n",
       "Q 41.015625 30.8125 33.5 32.328125 \n",
       "L 27.484375 33.5 \n",
       "Q 16.453125 35.6875 11.515625 40.375 \n",
       "Q 6.59375 45.0625 6.59375 53.421875 \n",
       "Q 6.59375 63.09375 13.40625 68.65625 \n",
       "Q 20.21875 74.21875 32.171875 74.21875 \n",
       "Q 37.3125 74.21875 42.625 73.28125 \n",
       "Q 47.953125 72.359375 53.515625 70.515625 \n",
       "z\n",
       "\" id=\"DejaVuSans-83\"/>\n",
       "      <path d=\"M 9.421875 54.6875 \n",
       "L 18.40625 54.6875 \n",
       "L 18.40625 0 \n",
       "L 9.421875 0 \n",
       "z\n",
       "M 9.421875 75.984375 \n",
       "L 18.40625 75.984375 \n",
       "L 18.40625 64.59375 \n",
       "L 9.421875 64.59375 \n",
       "z\n",
       "\" id=\"DejaVuSans-105\"/>\n",
       "      <path d=\"M 52 44.1875 \n",
       "Q 55.375 50.25 60.0625 53.125 \n",
       "Q 64.75 56 71.09375 56 \n",
       "Q 79.640625 56 84.28125 50.015625 \n",
       "Q 88.921875 44.046875 88.921875 33.015625 \n",
       "L 88.921875 0 \n",
       "L 79.890625 0 \n",
       "L 79.890625 32.71875 \n",
       "Q 79.890625 40.578125 77.09375 44.375 \n",
       "Q 74.3125 48.1875 68.609375 48.1875 \n",
       "Q 61.625 48.1875 57.5625 43.546875 \n",
       "Q 53.515625 38.921875 53.515625 30.90625 \n",
       "L 53.515625 0 \n",
       "L 44.484375 0 \n",
       "L 44.484375 32.71875 \n",
       "Q 44.484375 40.625 41.703125 44.40625 \n",
       "Q 38.921875 48.1875 33.109375 48.1875 \n",
       "Q 26.21875 48.1875 22.15625 43.53125 \n",
       "Q 18.109375 38.875 18.109375 30.90625 \n",
       "L 18.109375 0 \n",
       "L 9.078125 0 \n",
       "L 9.078125 54.6875 \n",
       "L 18.109375 54.6875 \n",
       "L 18.109375 46.1875 \n",
       "Q 21.1875 51.21875 25.484375 53.609375 \n",
       "Q 29.78125 56 35.6875 56 \n",
       "Q 41.65625 56 45.828125 52.96875 \n",
       "Q 50 49.953125 52 44.1875 \n",
       "z\n",
       "\" id=\"DejaVuSans-109\"/>\n",
       "      <path d=\"M 8.5 21.578125 \n",
       "L 8.5 54.6875 \n",
       "L 17.484375 54.6875 \n",
       "L 17.484375 21.921875 \n",
       "Q 17.484375 14.15625 20.5 10.265625 \n",
       "Q 23.53125 6.390625 29.59375 6.390625 \n",
       "Q 36.859375 6.390625 41.078125 11.03125 \n",
       "Q 45.3125 15.671875 45.3125 23.6875 \n",
       "L 45.3125 54.6875 \n",
       "L 54.296875 54.6875 \n",
       "L 54.296875 0 \n",
       "L 45.3125 0 \n",
       "L 45.3125 8.40625 \n",
       "Q 42.046875 3.421875 37.71875 1 \n",
       "Q 33.40625 -1.421875 27.6875 -1.421875 \n",
       "Q 18.265625 -1.421875 13.375 4.4375 \n",
       "Q 8.5 10.296875 8.5 21.578125 \n",
       "z\n",
       "M 31.109375 56 \n",
       "z\n",
       "\" id=\"DejaVuSans-117\"/>\n",
       "      <path d=\"M 9.421875 75.984375 \n",
       "L 18.40625 75.984375 \n",
       "L 18.40625 0 \n",
       "L 9.421875 0 \n",
       "z\n",
       "\" id=\"DejaVuSans-108\"/>\n",
       "      <path d=\"M 34.28125 27.484375 \n",
       "Q 23.390625 27.484375 19.1875 25 \n",
       "Q 14.984375 22.515625 14.984375 16.5 \n",
       "Q 14.984375 11.71875 18.140625 8.90625 \n",
       "Q 21.296875 6.109375 26.703125 6.109375 \n",
       "Q 34.1875 6.109375 38.703125 11.40625 \n",
       "Q 43.21875 16.703125 43.21875 25.484375 \n",
       "L 43.21875 27.484375 \n",
       "z\n",
       "M 52.203125 31.203125 \n",
       "L 52.203125 0 \n",
       "L 43.21875 0 \n",
       "L 43.21875 8.296875 \n",
       "Q 40.140625 3.328125 35.546875 0.953125 \n",
       "Q 30.953125 -1.421875 24.3125 -1.421875 \n",
       "Q 15.921875 -1.421875 10.953125 3.296875 \n",
       "Q 6 8.015625 6 15.921875 \n",
       "Q 6 25.140625 12.171875 29.828125 \n",
       "Q 18.359375 34.515625 30.609375 34.515625 \n",
       "L 43.21875 34.515625 \n",
       "L 43.21875 35.40625 \n",
       "Q 43.21875 41.609375 39.140625 45 \n",
       "Q 35.0625 48.390625 27.6875 48.390625 \n",
       "Q 23 48.390625 18.546875 47.265625 \n",
       "Q 14.109375 46.140625 10.015625 43.890625 \n",
       "L 10.015625 52.203125 \n",
       "Q 14.9375 54.109375 19.578125 55.046875 \n",
       "Q 24.21875 56 28.609375 56 \n",
       "Q 40.484375 56 46.34375 49.84375 \n",
       "Q 52.203125 43.703125 52.203125 31.203125 \n",
       "z\n",
       "\" id=\"DejaVuSans-97\"/>\n",
       "      <path d=\"M 19.671875 64.796875 \n",
       "L 19.671875 37.40625 \n",
       "L 32.078125 37.40625 \n",
       "Q 38.96875 37.40625 42.71875 40.96875 \n",
       "Q 46.484375 44.53125 46.484375 51.125 \n",
       "Q 46.484375 57.671875 42.71875 61.234375 \n",
       "Q 38.96875 64.796875 32.078125 64.796875 \n",
       "z\n",
       "M 9.8125 72.90625 \n",
       "L 32.078125 72.90625 \n",
       "Q 44.34375 72.90625 50.609375 67.359375 \n",
       "Q 56.890625 61.8125 56.890625 51.125 \n",
       "Q 56.890625 40.328125 50.609375 34.8125 \n",
       "Q 44.34375 29.296875 32.078125 29.296875 \n",
       "L 19.671875 29.296875 \n",
       "L 19.671875 0 \n",
       "L 9.8125 0 \n",
       "z\n",
       "\" id=\"DejaVuSans-80\"/>\n",
       "      <path d=\"M 41.109375 46.296875 \n",
       "Q 39.59375 47.171875 37.8125 47.578125 \n",
       "Q 36.03125 48 33.890625 48 \n",
       "Q 26.265625 48 22.1875 43.046875 \n",
       "Q 18.109375 38.09375 18.109375 28.8125 \n",
       "L 18.109375 0 \n",
       "L 9.078125 0 \n",
       "L 9.078125 54.6875 \n",
       "L 18.109375 54.6875 \n",
       "L 18.109375 46.1875 \n",
       "Q 20.953125 51.171875 25.484375 53.578125 \n",
       "Q 30.03125 56 36.53125 56 \n",
       "Q 37.453125 56 38.578125 55.875 \n",
       "Q 39.703125 55.765625 41.0625 55.515625 \n",
       "z\n",
       "\" id=\"DejaVuSans-114\"/>\n",
       "      <path d=\"M 45.40625 46.390625 \n",
       "L 45.40625 75.984375 \n",
       "L 54.390625 75.984375 \n",
       "L 54.390625 0 \n",
       "L 45.40625 0 \n",
       "L 45.40625 8.203125 \n",
       "Q 42.578125 3.328125 38.25 0.953125 \n",
       "Q 33.9375 -1.421875 27.875 -1.421875 \n",
       "Q 17.96875 -1.421875 11.734375 6.484375 \n",
       "Q 5.515625 14.40625 5.515625 27.296875 \n",
       "Q 5.515625 40.1875 11.734375 48.09375 \n",
       "Q 17.96875 56 27.875 56 \n",
       "Q 33.9375 56 38.25 53.625 \n",
       "Q 42.578125 51.265625 45.40625 46.390625 \n",
       "z\n",
       "M 14.796875 27.296875 \n",
       "Q 14.796875 17.390625 18.875 11.75 \n",
       "Q 22.953125 6.109375 30.078125 6.109375 \n",
       "Q 37.203125 6.109375 41.296875 11.75 \n",
       "Q 45.40625 17.390625 45.40625 27.296875 \n",
       "Q 45.40625 37.203125 41.296875 42.84375 \n",
       "Q 37.203125 48.484375 30.078125 48.484375 \n",
       "Q 22.953125 48.484375 18.875 42.84375 \n",
       "Q 14.796875 37.203125 14.796875 27.296875 \n",
       "z\n",
       "\" id=\"DejaVuSans-100\"/>\n",
       "      <path d=\"M 31 75.875 \n",
       "Q 24.46875 64.65625 21.28125 53.65625 \n",
       "Q 18.109375 42.671875 18.109375 31.390625 \n",
       "Q 18.109375 20.125 21.3125 9.0625 \n",
       "Q 24.515625 -2 31 -13.1875 \n",
       "L 23.1875 -13.1875 \n",
       "Q 15.875 -1.703125 12.234375 9.375 \n",
       "Q 8.59375 20.453125 8.59375 31.390625 \n",
       "Q 8.59375 42.28125 12.203125 53.3125 \n",
       "Q 15.828125 64.359375 23.1875 75.875 \n",
       "z\n",
       "\" id=\"DejaVuSans-40\"/>\n",
       "      <path d=\"M 32.171875 -5.078125 \n",
       "Q 28.375 -14.84375 24.75 -17.8125 \n",
       "Q 21.140625 -20.796875 15.09375 -20.796875 \n",
       "L 7.90625 -20.796875 \n",
       "L 7.90625 -13.28125 \n",
       "L 13.1875 -13.28125 \n",
       "Q 16.890625 -13.28125 18.9375 -11.515625 \n",
       "Q 21 -9.765625 23.484375 -3.21875 \n",
       "L 25.09375 0.875 \n",
       "L 2.984375 54.6875 \n",
       "L 12.5 54.6875 \n",
       "L 29.59375 11.921875 \n",
       "L 46.6875 54.6875 \n",
       "L 56.203125 54.6875 \n",
       "z\n",
       "\" id=\"DejaVuSans-121\"/>\n",
       "      <path d=\"M 8.015625 75.875 \n",
       "L 15.828125 75.875 \n",
       "Q 23.140625 64.359375 26.78125 53.3125 \n",
       "Q 30.421875 42.28125 30.421875 31.390625 \n",
       "Q 30.421875 20.453125 26.78125 9.375 \n",
       "Q 23.140625 -1.703125 15.828125 -13.1875 \n",
       "L 8.015625 -13.1875 \n",
       "Q 14.5 -2 17.703125 9.0625 \n",
       "Q 20.90625 20.125 20.90625 31.390625 \n",
       "Q 20.90625 42.671875 17.703125 53.65625 \n",
       "Q 14.5 64.65625 8.015625 75.875 \n",
       "z\n",
       "\" id=\"DejaVuSans-41\"/>\n",
       "     </defs>\n",
       "     <g transform=\"translate(130.357031 256.416562)scale(0.1 -0.1)\">\n",
       "      <use xlink:href=\"#DejaVuSans-76\"/>\n",
       "      <use x=\"55.697266\" xlink:href=\"#DejaVuSans-101\"/>\n",
       "      <use x=\"117.220703\" xlink:href=\"#DejaVuSans-110\"/>\n",
       "      <use x=\"180.599609\" xlink:href=\"#DejaVuSans-103\"/>\n",
       "      <use x=\"244.076172\" xlink:href=\"#DejaVuSans-116\"/>\n",
       "      <use x=\"283.285156\" xlink:href=\"#DejaVuSans-104\"/>\n",
       "      <use x=\"346.664062\" xlink:href=\"#DejaVuSans-32\"/>\n",
       "      <use x=\"378.451172\" xlink:href=\"#DejaVuSans-111\"/>\n",
       "      <use x=\"439.632812\" xlink:href=\"#DejaVuSans-102\"/>\n",
       "      <use x=\"474.837891\" xlink:href=\"#DejaVuSans-32\"/>\n",
       "      <use x=\"506.625\" xlink:href=\"#DejaVuSans-83\"/>\n",
       "      <use x=\"570.101562\" xlink:href=\"#DejaVuSans-105\"/>\n",
       "      <use x=\"597.884766\" xlink:href=\"#DejaVuSans-109\"/>\n",
       "      <use x=\"695.296875\" xlink:href=\"#DejaVuSans-117\"/>\n",
       "      <use x=\"758.675781\" xlink:href=\"#DejaVuSans-108\"/>\n",
       "      <use x=\"786.458984\" xlink:href=\"#DejaVuSans-97\"/>\n",
       "      <use x=\"847.738281\" xlink:href=\"#DejaVuSans-116\"/>\n",
       "      <use x=\"886.947266\" xlink:href=\"#DejaVuSans-105\"/>\n",
       "      <use x=\"914.730469\" xlink:href=\"#DejaVuSans-111\"/>\n",
       "      <use x=\"975.912109\" xlink:href=\"#DejaVuSans-110\"/>\n",
       "      <use x=\"1039.291016\" xlink:href=\"#DejaVuSans-32\"/>\n",
       "      <use x=\"1071.078125\" xlink:href=\"#DejaVuSans-80\"/>\n",
       "      <use x=\"1131.333984\" xlink:href=\"#DejaVuSans-101\"/>\n",
       "      <use x=\"1192.857422\" xlink:href=\"#DejaVuSans-114\"/>\n",
       "      <use x=\"1233.970703\" xlink:href=\"#DejaVuSans-105\"/>\n",
       "      <use x=\"1261.753906\" xlink:href=\"#DejaVuSans-111\"/>\n",
       "      <use x=\"1322.935547\" xlink:href=\"#DejaVuSans-100\"/>\n",
       "      <use x=\"1386.412109\" xlink:href=\"#DejaVuSans-32\"/>\n",
       "      <use x=\"1418.199219\" xlink:href=\"#DejaVuSans-40\"/>\n",
       "      <use x=\"1457.212891\" xlink:href=\"#DejaVuSans-100\"/>\n",
       "      <use x=\"1520.689453\" xlink:href=\"#DejaVuSans-97\"/>\n",
       "      <use x=\"1581.96875\" xlink:href=\"#DejaVuSans-121\"/>\n",
       "      <use x=\"1641.148438\" xlink:href=\"#DejaVuSans-41\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_2\">\n",
       "    <g id=\"ytick_1\">\n",
       "     <g id=\"line2d_7\">\n",
       "      <defs>\n",
       "       <path d=\"M 0 0 \n",
       "L -3.5 0 \n",
       "\" id=\"mdc3249b9f0\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"46.965625\" xlink:href=\"#mdc3249b9f0\" y=\"220.345874\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_8\">\n",
       "      <!-- 0 -->\n",
       "      <g transform=\"translate(33.603125 224.145092)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_2\">\n",
       "     <g id=\"line2d_8\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"46.965625\" xlink:href=\"#mdc3249b9f0\" y=\"194.185287\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_9\">\n",
       "      <!-- 50 -->\n",
       "      <defs>\n",
       "       <path d=\"M 10.796875 72.90625 \n",
       "L 49.515625 72.90625 \n",
       "L 49.515625 64.59375 \n",
       "L 19.828125 64.59375 \n",
       "L 19.828125 46.734375 \n",
       "Q 21.96875 47.46875 24.109375 47.828125 \n",
       "Q 26.265625 48.1875 28.421875 48.1875 \n",
       "Q 40.625 48.1875 47.75 41.5 \n",
       "Q 54.890625 34.8125 54.890625 23.390625 \n",
       "Q 54.890625 11.625 47.5625 5.09375 \n",
       "Q 40.234375 -1.421875 26.90625 -1.421875 \n",
       "Q 22.3125 -1.421875 17.546875 -0.640625 \n",
       "Q 12.796875 0.140625 7.71875 1.703125 \n",
       "L 7.71875 11.625 \n",
       "Q 12.109375 9.234375 16.796875 8.0625 \n",
       "Q 21.484375 6.890625 26.703125 6.890625 \n",
       "Q 35.15625 6.890625 40.078125 11.328125 \n",
       "Q 45.015625 15.765625 45.015625 23.390625 \n",
       "Q 45.015625 31 40.078125 35.4375 \n",
       "Q 35.15625 39.890625 26.703125 39.890625 \n",
       "Q 22.75 39.890625 18.8125 39.015625 \n",
       "Q 14.890625 38.140625 10.796875 36.28125 \n",
       "z\n",
       "\" id=\"DejaVuSans-53\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(27.240625 197.984506)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-53\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_3\">\n",
       "     <g id=\"line2d_9\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"46.965625\" xlink:href=\"#mdc3249b9f0\" y=\"168.024701\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_10\">\n",
       "      <!-- 100 -->\n",
       "      <g transform=\"translate(20.878125 171.82392)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-49\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_4\">\n",
       "     <g id=\"line2d_10\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"46.965625\" xlink:href=\"#mdc3249b9f0\" y=\"141.864115\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_11\">\n",
       "      <!-- 150 -->\n",
       "      <g transform=\"translate(20.878125 145.663334)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-49\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_5\">\n",
       "     <g id=\"line2d_11\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"46.965625\" xlink:href=\"#mdc3249b9f0\" y=\"115.703529\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_12\">\n",
       "      <!-- 200 -->\n",
       "      <g transform=\"translate(20.878125 119.502747)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-50\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_6\">\n",
       "     <g id=\"line2d_12\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"46.965625\" xlink:href=\"#mdc3249b9f0\" y=\"89.542942\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_13\">\n",
       "      <!-- 250 -->\n",
       "      <g transform=\"translate(20.878125 93.342161)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-50\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_7\">\n",
       "     <g id=\"line2d_13\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"46.965625\" xlink:href=\"#mdc3249b9f0\" y=\"63.382356\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_14\">\n",
       "      <!-- 300 -->\n",
       "      <defs>\n",
       "       <path d=\"M 40.578125 39.3125 \n",
       "Q 47.65625 37.796875 51.625 33 \n",
       "Q 55.609375 28.21875 55.609375 21.1875 \n",
       "Q 55.609375 10.40625 48.1875 4.484375 \n",
       "Q 40.765625 -1.421875 27.09375 -1.421875 \n",
       "Q 22.515625 -1.421875 17.65625 -0.515625 \n",
       "Q 12.796875 0.390625 7.625 2.203125 \n",
       "L 7.625 11.71875 \n",
       "Q 11.71875 9.328125 16.59375 8.109375 \n",
       "Q 21.484375 6.890625 26.8125 6.890625 \n",
       "Q 36.078125 6.890625 40.9375 10.546875 \n",
       "Q 45.796875 14.203125 45.796875 21.1875 \n",
       "Q 45.796875 27.640625 41.28125 31.265625 \n",
       "Q 36.765625 34.90625 28.71875 34.90625 \n",
       "L 20.21875 34.90625 \n",
       "L 20.21875 43.015625 \n",
       "L 29.109375 43.015625 \n",
       "Q 36.375 43.015625 40.234375 45.921875 \n",
       "Q 44.09375 48.828125 44.09375 54.296875 \n",
       "Q 44.09375 59.90625 40.109375 62.90625 \n",
       "Q 36.140625 65.921875 28.71875 65.921875 \n",
       "Q 24.65625 65.921875 20.015625 65.03125 \n",
       "Q 15.375 64.15625 9.8125 62.3125 \n",
       "L 9.8125 71.09375 \n",
       "Q 15.4375 72.65625 20.34375 73.4375 \n",
       "Q 25.25 74.21875 29.59375 74.21875 \n",
       "Q 40.828125 74.21875 47.359375 69.109375 \n",
       "Q 53.90625 64.015625 53.90625 55.328125 \n",
       "Q 53.90625 49.265625 50.4375 45.09375 \n",
       "Q 46.96875 40.921875 40.578125 39.3125 \n",
       "z\n",
       "\" id=\"DejaVuSans-51\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(20.878125 67.181575)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-51\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_8\">\n",
       "     <g id=\"line2d_14\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"46.965625\" xlink:href=\"#mdc3249b9f0\" y=\"37.22177\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_15\">\n",
       "      <!-- 350 -->\n",
       "      <g transform=\"translate(20.878125 41.020989)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-51\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_9\">\n",
       "     <g id=\"line2d_15\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"46.965625\" xlink:href=\"#mdc3249b9f0\" y=\"11.061184\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_16\">\n",
       "      <!-- 400 -->\n",
       "      <g transform=\"translate(20.878125 14.860402)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-52\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"text_17\">\n",
       "     <!-- Execution Time (s) -->\n",
       "     <defs>\n",
       "      <path d=\"M 9.8125 72.90625 \n",
       "L 55.90625 72.90625 \n",
       "L 55.90625 64.59375 \n",
       "L 19.671875 64.59375 \n",
       "L 19.671875 43.015625 \n",
       "L 54.390625 43.015625 \n",
       "L 54.390625 34.71875 \n",
       "L 19.671875 34.71875 \n",
       "L 19.671875 8.296875 \n",
       "L 56.78125 8.296875 \n",
       "L 56.78125 0 \n",
       "L 9.8125 0 \n",
       "z\n",
       "\" id=\"DejaVuSans-69\"/>\n",
       "      <path d=\"M 54.890625 54.6875 \n",
       "L 35.109375 28.078125 \n",
       "L 55.90625 0 \n",
       "L 45.3125 0 \n",
       "L 29.390625 21.484375 \n",
       "L 13.484375 0 \n",
       "L 2.875 0 \n",
       "L 24.125 28.609375 \n",
       "L 4.6875 54.6875 \n",
       "L 15.28125 54.6875 \n",
       "L 29.78125 35.203125 \n",
       "L 44.28125 54.6875 \n",
       "z\n",
       "\" id=\"DejaVuSans-120\"/>\n",
       "      <path d=\"M 48.78125 52.59375 \n",
       "L 48.78125 44.1875 \n",
       "Q 44.96875 46.296875 41.140625 47.34375 \n",
       "Q 37.3125 48.390625 33.40625 48.390625 \n",
       "Q 24.65625 48.390625 19.8125 42.84375 \n",
       "Q 14.984375 37.3125 14.984375 27.296875 \n",
       "Q 14.984375 17.28125 19.8125 11.734375 \n",
       "Q 24.65625 6.203125 33.40625 6.203125 \n",
       "Q 37.3125 6.203125 41.140625 7.25 \n",
       "Q 44.96875 8.296875 48.78125 10.40625 \n",
       "L 48.78125 2.09375 \n",
       "Q 45.015625 0.34375 40.984375 -0.53125 \n",
       "Q 36.96875 -1.421875 32.421875 -1.421875 \n",
       "Q 20.0625 -1.421875 12.78125 6.34375 \n",
       "Q 5.515625 14.109375 5.515625 27.296875 \n",
       "Q 5.515625 40.671875 12.859375 48.328125 \n",
       "Q 20.21875 56 33.015625 56 \n",
       "Q 37.15625 56 41.109375 55.140625 \n",
       "Q 45.0625 54.296875 48.78125 52.59375 \n",
       "z\n",
       "\" id=\"DejaVuSans-99\"/>\n",
       "      <path d=\"M -0.296875 72.90625 \n",
       "L 61.375 72.90625 \n",
       "L 61.375 64.59375 \n",
       "L 35.5 64.59375 \n",
       "L 35.5 0 \n",
       "L 25.59375 0 \n",
       "L 25.59375 64.59375 \n",
       "L -0.296875 64.59375 \n",
       "z\n",
       "\" id=\"DejaVuSans-84\"/>\n",
       "      <path d=\"M 44.28125 53.078125 \n",
       "L 44.28125 44.578125 \n",
       "Q 40.484375 46.53125 36.375 47.5 \n",
       "Q 32.28125 48.484375 27.875 48.484375 \n",
       "Q 21.1875 48.484375 17.84375 46.4375 \n",
       "Q 14.5 44.390625 14.5 40.28125 \n",
       "Q 14.5 37.15625 16.890625 35.375 \n",
       "Q 19.28125 33.59375 26.515625 31.984375 \n",
       "L 29.59375 31.296875 \n",
       "Q 39.15625 29.25 43.1875 25.515625 \n",
       "Q 47.21875 21.78125 47.21875 15.09375 \n",
       "Q 47.21875 7.46875 41.1875 3.015625 \n",
       "Q 35.15625 -1.421875 24.609375 -1.421875 \n",
       "Q 20.21875 -1.421875 15.453125 -0.5625 \n",
       "Q 10.6875 0.296875 5.421875 2 \n",
       "L 5.421875 11.28125 \n",
       "Q 10.40625 8.6875 15.234375 7.390625 \n",
       "Q 20.0625 6.109375 24.8125 6.109375 \n",
       "Q 31.15625 6.109375 34.5625 8.28125 \n",
       "Q 37.984375 10.453125 37.984375 14.40625 \n",
       "Q 37.984375 18.0625 35.515625 20.015625 \n",
       "Q 33.0625 21.96875 24.703125 23.78125 \n",
       "L 21.578125 24.515625 \n",
       "Q 13.234375 26.265625 9.515625 29.90625 \n",
       "Q 5.8125 33.546875 5.8125 39.890625 \n",
       "Q 5.8125 47.609375 11.28125 51.796875 \n",
       "Q 16.75 56 26.8125 56 \n",
       "Q 31.78125 56 36.171875 55.265625 \n",
       "Q 40.578125 54.546875 44.28125 53.078125 \n",
       "z\n",
       "\" id=\"DejaVuSans-115\"/>\n",
       "     </defs>\n",
       "     <g transform=\"translate(14.798438 166.180156)rotate(-90)scale(0.1 -0.1)\">\n",
       "      <use xlink:href=\"#DejaVuSans-69\"/>\n",
       "      <use x=\"63.183594\" xlink:href=\"#DejaVuSans-120\"/>\n",
       "      <use x=\"122.316406\" xlink:href=\"#DejaVuSans-101\"/>\n",
       "      <use x=\"183.839844\" xlink:href=\"#DejaVuSans-99\"/>\n",
       "      <use x=\"238.820312\" xlink:href=\"#DejaVuSans-117\"/>\n",
       "      <use x=\"302.199219\" xlink:href=\"#DejaVuSans-116\"/>\n",
       "      <use x=\"341.408203\" xlink:href=\"#DejaVuSans-105\"/>\n",
       "      <use x=\"369.191406\" xlink:href=\"#DejaVuSans-111\"/>\n",
       "      <use x=\"430.373047\" xlink:href=\"#DejaVuSans-110\"/>\n",
       "      <use x=\"493.751953\" xlink:href=\"#DejaVuSans-32\"/>\n",
       "      <use x=\"525.539062\" xlink:href=\"#DejaVuSans-84\"/>\n",
       "      <use x=\"586.576172\" xlink:href=\"#DejaVuSans-105\"/>\n",
       "      <use x=\"614.359375\" xlink:href=\"#DejaVuSans-109\"/>\n",
       "      <use x=\"711.771484\" xlink:href=\"#DejaVuSans-101\"/>\n",
       "      <use x=\"773.294922\" xlink:href=\"#DejaVuSans-32\"/>\n",
       "      <use x=\"805.082031\" xlink:href=\"#DejaVuSans-40\"/>\n",
       "      <use x=\"844.095703\" xlink:href=\"#DejaVuSans-115\"/>\n",
       "      <use x=\"896.195312\" xlink:href=\"#DejaVuSans-41\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_16\">\n",
       "    <path clip-path=\"url(#pdb99654a9d)\" d=\"M 62.183807 218.256364 \n",
       "L 79.331054 210.074175 \n",
       "L 87.904677 205.582931 \n",
       "L 96.478301 201.926745 \n",
       "L 105.051925 193.71657 \n",
       "L 130.772795 187.088116 \n",
       "L 157.922603 185.642211 \n",
       "L 262.235023 169.388301 \n",
       "L 366.547443 143.319436 \n",
       "\" style=\"fill:none;stroke:#1f77b4;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <defs>\n",
       "     <path d=\"M 0 3 \n",
       "C 0.795609 3 1.55874 2.683901 2.12132 2.12132 \n",
       "C 2.683901 1.55874 3 0.795609 3 0 \n",
       "C 3 -0.795609 2.683901 -1.55874 2.12132 -2.12132 \n",
       "C 1.55874 -2.683901 0.795609 -3 0 -3 \n",
       "C -0.795609 -3 -1.55874 -2.683901 -2.12132 -2.12132 \n",
       "C -2.683901 -1.55874 -3 -0.795609 -3 0 \n",
       "C -3 0.795609 -2.683901 1.55874 -2.12132 2.12132 \n",
       "C -1.55874 2.683901 -0.795609 3 0 3 \n",
       "z\n",
       "\" id=\"mb48af33baf\" style=\"stroke:#1f77b4;\"/>\n",
       "    </defs>\n",
       "    <g clip-path=\"url(#pdb99654a9d)\">\n",
       "     <use style=\"fill-opacity:0;stroke:#1f77b4;\" x=\"62.183807\" xlink:href=\"#mb48af33baf\" y=\"218.256364\"/>\n",
       "     <use style=\"fill-opacity:0;stroke:#1f77b4;\" x=\"79.331054\" xlink:href=\"#mb48af33baf\" y=\"210.074175\"/>\n",
       "     <use style=\"fill-opacity:0;stroke:#1f77b4;\" x=\"87.904677\" xlink:href=\"#mb48af33baf\" y=\"205.582931\"/>\n",
       "     <use style=\"fill-opacity:0;stroke:#1f77b4;\" x=\"96.478301\" xlink:href=\"#mb48af33baf\" y=\"201.926745\"/>\n",
       "     <use style=\"fill-opacity:0;stroke:#1f77b4;\" x=\"105.051925\" xlink:href=\"#mb48af33baf\" y=\"193.71657\"/>\n",
       "     <use style=\"fill-opacity:0;stroke:#1f77b4;\" x=\"130.772795\" xlink:href=\"#mb48af33baf\" y=\"187.088116\"/>\n",
       "     <use style=\"fill-opacity:0;stroke:#1f77b4;\" x=\"157.922603\" xlink:href=\"#mb48af33baf\" y=\"185.642211\"/>\n",
       "     <use style=\"fill-opacity:0;stroke:#1f77b4;\" x=\"262.235023\" xlink:href=\"#mb48af33baf\" y=\"169.388301\"/>\n",
       "     <use style=\"fill-opacity:0;stroke:#1f77b4;\" x=\"366.547443\" xlink:href=\"#mb48af33baf\" y=\"143.319436\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_17\">\n",
       "    <path clip-path=\"url(#pdb99654a9d)\" d=\"M 62.183807 214.790475 \n",
       "L 79.331054 200.800017 \n",
       "L 87.904677 193.588593 \n",
       "L 96.478301 189.956391 \n",
       "L 105.051925 185.167692 \n",
       "L 130.772795 169.259997 \n",
       "L 157.922603 154.741085 \n",
       "L 262.235023 89.458085 \n",
       "L 366.547443 20.583636 \n",
       "\" style=\"fill:none;stroke:#ff7f0e;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <defs>\n",
       "     <path d=\"M 0 3 \n",
       "C 0.795609 3 1.55874 2.683901 2.12132 2.12132 \n",
       "C 2.683901 1.55874 3 0.795609 3 0 \n",
       "C 3 -0.795609 2.683901 -1.55874 2.12132 -2.12132 \n",
       "C 1.55874 -2.683901 0.795609 -3 0 -3 \n",
       "C -0.795609 -3 -1.55874 -2.683901 -2.12132 -2.12132 \n",
       "C -2.683901 -1.55874 -3 -0.795609 -3 0 \n",
       "C -3 0.795609 -2.683901 1.55874 -2.12132 2.12132 \n",
       "C -1.55874 2.683901 -0.795609 3 0 3 \n",
       "z\n",
       "\" id=\"m299607c5af\" style=\"stroke:#ff7f0e;\"/>\n",
       "    </defs>\n",
       "    <g clip-path=\"url(#pdb99654a9d)\">\n",
       "     <use style=\"fill-opacity:0;stroke:#ff7f0e;\" x=\"62.183807\" xlink:href=\"#m299607c5af\" y=\"214.790475\"/>\n",
       "     <use style=\"fill-opacity:0;stroke:#ff7f0e;\" x=\"79.331054\" xlink:href=\"#m299607c5af\" y=\"200.800017\"/>\n",
       "     <use style=\"fill-opacity:0;stroke:#ff7f0e;\" x=\"87.904677\" xlink:href=\"#m299607c5af\" y=\"193.588593\"/>\n",
       "     <use style=\"fill-opacity:0;stroke:#ff7f0e;\" x=\"96.478301\" xlink:href=\"#m299607c5af\" y=\"189.956391\"/>\n",
       "     <use style=\"fill-opacity:0;stroke:#ff7f0e;\" x=\"105.051925\" xlink:href=\"#m299607c5af\" y=\"185.167692\"/>\n",
       "     <use style=\"fill-opacity:0;stroke:#ff7f0e;\" x=\"130.772795\" xlink:href=\"#m299607c5af\" y=\"169.259997\"/>\n",
       "     <use style=\"fill-opacity:0;stroke:#ff7f0e;\" x=\"157.922603\" xlink:href=\"#m299607c5af\" y=\"154.741085\"/>\n",
       "     <use style=\"fill-opacity:0;stroke:#ff7f0e;\" x=\"262.235023\" xlink:href=\"#m299607c5af\" y=\"89.458085\"/>\n",
       "     <use style=\"fill-opacity:0;stroke:#ff7f0e;\" x=\"366.547443\" xlink:href=\"#m299607c5af\" y=\"20.583636\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"patch_3\">\n",
       "    <path d=\"M 46.965625 228.14 \n",
       "L 46.965625 10.7 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_4\">\n",
       "    <path d=\"M 381.765625 228.14 \n",
       "L 381.765625 10.7 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_5\">\n",
       "    <path d=\"M 46.965625 228.14 \n",
       "L 381.765625 228.14 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_6\">\n",
       "    <path d=\"M 46.965625 10.7 \n",
       "L 381.765625 10.7 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n",
       "   </g>\n",
       "   <g id=\"legend_1\">\n",
       "    <g id=\"patch_7\">\n",
       "     <path d=\"M 154.767969 62.734375 \n",
       "L 273.963281 62.734375 \n",
       "Q 275.963281 62.734375 275.963281 60.734375 \n",
       "L 275.963281 17.7 \n",
       "Q 275.963281 15.7 273.963281 15.7 \n",
       "L 154.767969 15.7 \n",
       "Q 152.767969 15.7 152.767969 17.7 \n",
       "L 152.767969 60.734375 \n",
       "Q 152.767969 62.734375 154.767969 62.734375 \n",
       "z\n",
       "\" style=\"fill:#ffffff;opacity:0.8;stroke:#cccccc;stroke-linejoin:miter;\"/>\n",
       "    </g>\n",
       "    <g id=\"line2d_18\">\n",
       "     <path d=\"M 156.767969 23.798437 \n",
       "L 176.767969 23.798437 \n",
       "\" style=\"fill:none;stroke:#1f77b4;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    </g>\n",
       "    <g id=\"line2d_19\">\n",
       "     <g>\n",
       "      <use style=\"fill-opacity:0;stroke:#1f77b4;\" x=\"166.767969\" xlink:href=\"#mb48af33baf\" y=\"23.798437\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"text_18\">\n",
       "     <!-- parallel -->\n",
       "     <defs>\n",
       "      <path d=\"M 18.109375 8.203125 \n",
       "L 18.109375 -20.796875 \n",
       "L 9.078125 -20.796875 \n",
       "L 9.078125 54.6875 \n",
       "L 18.109375 54.6875 \n",
       "L 18.109375 46.390625 \n",
       "Q 20.953125 51.265625 25.265625 53.625 \n",
       "Q 29.59375 56 35.59375 56 \n",
       "Q 45.5625 56 51.78125 48.09375 \n",
       "Q 58.015625 40.1875 58.015625 27.296875 \n",
       "Q 58.015625 14.40625 51.78125 6.484375 \n",
       "Q 45.5625 -1.421875 35.59375 -1.421875 \n",
       "Q 29.59375 -1.421875 25.265625 0.953125 \n",
       "Q 20.953125 3.328125 18.109375 8.203125 \n",
       "z\n",
       "M 48.6875 27.296875 \n",
       "Q 48.6875 37.203125 44.609375 42.84375 \n",
       "Q 40.53125 48.484375 33.40625 48.484375 \n",
       "Q 26.265625 48.484375 22.1875 42.84375 \n",
       "Q 18.109375 37.203125 18.109375 27.296875 \n",
       "Q 18.109375 17.390625 22.1875 11.75 \n",
       "Q 26.265625 6.109375 33.40625 6.109375 \n",
       "Q 40.53125 6.109375 44.609375 11.75 \n",
       "Q 48.6875 17.390625 48.6875 27.296875 \n",
       "z\n",
       "\" id=\"DejaVuSans-112\"/>\n",
       "     </defs>\n",
       "     <g transform=\"translate(184.767969 27.298437)scale(0.1 -0.1)\">\n",
       "      <use xlink:href=\"#DejaVuSans-112\"/>\n",
       "      <use x=\"63.476562\" xlink:href=\"#DejaVuSans-97\"/>\n",
       "      <use x=\"124.755859\" xlink:href=\"#DejaVuSans-114\"/>\n",
       "      <use x=\"165.869141\" xlink:href=\"#DejaVuSans-97\"/>\n",
       "      <use x=\"227.148438\" xlink:href=\"#DejaVuSans-108\"/>\n",
       "      <use x=\"254.931641\" xlink:href=\"#DejaVuSans-108\"/>\n",
       "      <use x=\"282.714844\" xlink:href=\"#DejaVuSans-101\"/>\n",
       "      <use x=\"344.238281\" xlink:href=\"#DejaVuSans-108\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"line2d_20\">\n",
       "     <path d=\"M 156.767969 38.476562 \n",
       "L 176.767969 38.476562 \n",
       "\" style=\"fill:none;stroke:#ff7f0e;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    </g>\n",
       "    <g id=\"line2d_21\">\n",
       "     <g>\n",
       "      <use style=\"fill-opacity:0;stroke:#ff7f0e;\" x=\"166.767969\" xlink:href=\"#m299607c5af\" y=\"38.476562\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"text_19\">\n",
       "     <!-- serial -->\n",
       "     <g transform=\"translate(184.767969 41.976562)scale(0.1 -0.1)\">\n",
       "      <use xlink:href=\"#DejaVuSans-115\"/>\n",
       "      <use x=\"52.099609\" xlink:href=\"#DejaVuSans-101\"/>\n",
       "      <use x=\"113.623047\" xlink:href=\"#DejaVuSans-114\"/>\n",
       "      <use x=\"154.736328\" xlink:href=\"#DejaVuSans-105\"/>\n",
       "      <use x=\"182.519531\" xlink:href=\"#DejaVuSans-97\"/>\n",
       "      <use x=\"243.798828\" xlink:href=\"#DejaVuSans-108\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"line2d_22\">\n",
       "     <path d=\"M 156.767969 53.154687 \n",
       "L 176.767969 53.154687 \n",
       "\" style=\"fill:none;stroke:#2ca02c;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    </g>\n",
       "    <g id=\"line2d_23\">\n",
       "     <defs>\n",
       "      <path d=\"M 0 3 \n",
       "C 0.795609 3 1.55874 2.683901 2.12132 2.12132 \n",
       "C 2.683901 1.55874 3 0.795609 3 0 \n",
       "C 3 -0.795609 2.683901 -1.55874 2.12132 -2.12132 \n",
       "C 1.55874 -2.683901 0.795609 -3 0 -3 \n",
       "C -0.795609 -3 -1.55874 -2.683901 -2.12132 -2.12132 \n",
       "C -2.683901 -1.55874 -3 -0.795609 -3 0 \n",
       "C -3 0.795609 -2.683901 1.55874 -2.12132 2.12132 \n",
       "C -1.55874 2.683901 -0.795609 3 0 3 \n",
       "z\n",
       "\" id=\"m2464101009\" style=\"stroke:#2ca02c;\"/>\n",
       "     </defs>\n",
       "     <g>\n",
       "      <use style=\"fill-opacity:0;stroke:#2ca02c;\" x=\"166.767969\" xlink:href=\"#m2464101009\" y=\"53.154687\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"text_20\">\n",
       "     <!-- ratio (=p/s, right) -->\n",
       "     <defs>\n",
       "      <path d=\"M 10.59375 45.40625 \n",
       "L 73.1875 45.40625 \n",
       "L 73.1875 37.203125 \n",
       "L 10.59375 37.203125 \n",
       "z\n",
       "M 10.59375 25.484375 \n",
       "L 73.1875 25.484375 \n",
       "L 73.1875 17.1875 \n",
       "L 10.59375 17.1875 \n",
       "z\n",
       "\" id=\"DejaVuSans-61\"/>\n",
       "      <path d=\"M 25.390625 72.90625 \n",
       "L 33.6875 72.90625 \n",
       "L 8.296875 -9.28125 \n",
       "L 0 -9.28125 \n",
       "z\n",
       "\" id=\"DejaVuSans-47\"/>\n",
       "      <path d=\"M 11.71875 12.40625 \n",
       "L 22.015625 12.40625 \n",
       "L 22.015625 4 \n",
       "L 14.015625 -11.625 \n",
       "L 7.71875 -11.625 \n",
       "L 11.71875 4 \n",
       "z\n",
       "\" id=\"DejaVuSans-44\"/>\n",
       "     </defs>\n",
       "     <g transform=\"translate(184.767969 56.654687)scale(0.1 -0.1)\">\n",
       "      <use xlink:href=\"#DejaVuSans-114\"/>\n",
       "      <use x=\"41.113281\" xlink:href=\"#DejaVuSans-97\"/>\n",
       "      <use x=\"102.392578\" xlink:href=\"#DejaVuSans-116\"/>\n",
       "      <use x=\"141.601562\" xlink:href=\"#DejaVuSans-105\"/>\n",
       "      <use x=\"169.384766\" xlink:href=\"#DejaVuSans-111\"/>\n",
       "      <use x=\"230.566406\" xlink:href=\"#DejaVuSans-32\"/>\n",
       "      <use x=\"262.353516\" xlink:href=\"#DejaVuSans-40\"/>\n",
       "      <use x=\"301.367188\" xlink:href=\"#DejaVuSans-61\"/>\n",
       "      <use x=\"385.15625\" xlink:href=\"#DejaVuSans-112\"/>\n",
       "      <use x=\"448.632812\" xlink:href=\"#DejaVuSans-47\"/>\n",
       "      <use x=\"482.324219\" xlink:href=\"#DejaVuSans-115\"/>\n",
       "      <use x=\"534.423828\" xlink:href=\"#DejaVuSans-44\"/>\n",
       "      <use x=\"566.210938\" xlink:href=\"#DejaVuSans-32\"/>\n",
       "      <use x=\"597.998047\" xlink:href=\"#DejaVuSans-114\"/>\n",
       "      <use x=\"639.111328\" xlink:href=\"#DejaVuSans-105\"/>\n",
       "      <use x=\"666.894531\" xlink:href=\"#DejaVuSans-103\"/>\n",
       "      <use x=\"730.371094\" xlink:href=\"#DejaVuSans-104\"/>\n",
       "      <use x=\"793.75\" xlink:href=\"#DejaVuSans-116\"/>\n",
       "      <use x=\"832.958984\" xlink:href=\"#DejaVuSans-41\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "  </g>\n",
       "  <g id=\"axes_2\">\n",
       "   <g id=\"matplotlib.axis_3\">\n",
       "    <g id=\"ytick_10\">\n",
       "     <g id=\"line2d_24\">\n",
       "      <defs>\n",
       "       <path d=\"M 0 0 \n",
       "L 3.5 0 \n",
       "\" id=\"ma68b5cf798\" style=\"stroke:#2ca02c;stroke-width:0.8;\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use style=\"fill:#2ca02c;stroke:#2ca02c;stroke-width:0.8;\" x=\"381.765625\" xlink:href=\"#ma68b5cf798\" y=\"205.86354\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_21\">\n",
       "      <!-- 0.40 -->\n",
       "      <defs>\n",
       "       <path d=\"M 10.6875 12.40625 \n",
       "L 21 12.40625 \n",
       "L 21 0 \n",
       "L 10.6875 0 \n",
       "z\n",
       "\" id=\"DejaVuSans-46\"/>\n",
       "      </defs>\n",
       "      <g style=\"fill:#2ca02c;\" transform=\"translate(388.765625 209.662759)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-52\"/>\n",
       "       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_11\">\n",
       "     <g id=\"line2d_25\">\n",
       "      <g>\n",
       "       <use style=\"fill:#2ca02c;stroke:#2ca02c;stroke-width:0.8;\" x=\"381.765625\" xlink:href=\"#ma68b5cf798\" y=\"179.912777\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_22\">\n",
       "      <!-- 0.45 -->\n",
       "      <g style=\"fill:#2ca02c;\" transform=\"translate(388.765625 183.711995)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-52\"/>\n",
       "       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_12\">\n",
       "     <g id=\"line2d_26\">\n",
       "      <g>\n",
       "       <use style=\"fill:#2ca02c;stroke:#2ca02c;stroke-width:0.8;\" x=\"381.765625\" xlink:href=\"#ma68b5cf798\" y=\"153.962013\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_23\">\n",
       "      <!-- 0.50 -->\n",
       "      <g style=\"fill:#2ca02c;\" transform=\"translate(388.765625 157.761232)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_13\">\n",
       "     <g id=\"line2d_27\">\n",
       "      <g>\n",
       "       <use style=\"fill:#2ca02c;stroke:#2ca02c;stroke-width:0.8;\" x=\"381.765625\" xlink:href=\"#ma68b5cf798\" y=\"128.011249\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_24\">\n",
       "      <!-- 0.55 -->\n",
       "      <g style=\"fill:#2ca02c;\" transform=\"translate(388.765625 131.810468)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_14\">\n",
       "     <g id=\"line2d_28\">\n",
       "      <g>\n",
       "       <use style=\"fill:#2ca02c;stroke:#2ca02c;stroke-width:0.8;\" x=\"381.765625\" xlink:href=\"#ma68b5cf798\" y=\"102.060485\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_25\">\n",
       "      <!-- 0.60 -->\n",
       "      <g style=\"fill:#2ca02c;\" transform=\"translate(388.765625 105.859704)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-54\"/>\n",
       "       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_15\">\n",
       "     <g id=\"line2d_29\">\n",
       "      <g>\n",
       "       <use style=\"fill:#2ca02c;stroke:#2ca02c;stroke-width:0.8;\" x=\"381.765625\" xlink:href=\"#ma68b5cf798\" y=\"76.109722\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_26\">\n",
       "      <!-- 0.65 -->\n",
       "      <g style=\"fill:#2ca02c;\" transform=\"translate(388.765625 79.908941)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-54\"/>\n",
       "       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_16\">\n",
       "     <g id=\"line2d_30\">\n",
       "      <g>\n",
       "       <use style=\"fill:#2ca02c;stroke:#2ca02c;stroke-width:0.8;\" x=\"381.765625\" xlink:href=\"#ma68b5cf798\" y=\"50.158958\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_27\">\n",
       "      <!-- 0.70 -->\n",
       "      <defs>\n",
       "       <path d=\"M 8.203125 72.90625 \n",
       "L 55.078125 72.90625 \n",
       "L 55.078125 68.703125 \n",
       "L 28.609375 0 \n",
       "L 18.3125 0 \n",
       "L 43.21875 64.59375 \n",
       "L 8.203125 64.59375 \n",
       "z\n",
       "\" id=\"DejaVuSans-55\"/>\n",
       "      </defs>\n",
       "      <g style=\"fill:#2ca02c;\" transform=\"translate(388.765625 53.958177)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-55\"/>\n",
       "       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_17\">\n",
       "     <g id=\"line2d_31\">\n",
       "      <g>\n",
       "       <use style=\"fill:#2ca02c;stroke:#2ca02c;stroke-width:0.8;\" x=\"381.765625\" xlink:href=\"#ma68b5cf798\" y=\"24.208194\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_28\">\n",
       "      <!-- 0.75 -->\n",
       "      <g style=\"fill:#2ca02c;\" transform=\"translate(388.765625 28.007413)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-55\"/>\n",
       "       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"text_29\">\n",
       "     <!-- Execution Ratio (=p/s) -->\n",
       "     <defs>\n",
       "      <path d=\"M 44.390625 34.1875 \n",
       "Q 47.5625 33.109375 50.5625 29.59375 \n",
       "Q 53.5625 26.078125 56.59375 19.921875 \n",
       "L 66.609375 0 \n",
       "L 56 0 \n",
       "L 46.6875 18.703125 \n",
       "Q 43.0625 26.03125 39.671875 28.421875 \n",
       "Q 36.28125 30.8125 30.421875 30.8125 \n",
       "L 19.671875 30.8125 \n",
       "L 19.671875 0 \n",
       "L 9.8125 0 \n",
       "L 9.8125 72.90625 \n",
       "L 32.078125 72.90625 \n",
       "Q 44.578125 72.90625 50.734375 67.671875 \n",
       "Q 56.890625 62.453125 56.890625 51.90625 \n",
       "Q 56.890625 45.015625 53.6875 40.46875 \n",
       "Q 50.484375 35.9375 44.390625 34.1875 \n",
       "z\n",
       "M 19.671875 64.796875 \n",
       "L 19.671875 38.921875 \n",
       "L 32.078125 38.921875 \n",
       "Q 39.203125 38.921875 42.84375 42.21875 \n",
       "Q 46.484375 45.515625 46.484375 51.90625 \n",
       "Q 46.484375 58.296875 42.84375 61.546875 \n",
       "Q 39.203125 64.796875 32.078125 64.796875 \n",
       "z\n",
       "\" id=\"DejaVuSans-82\"/>\n",
       "     </defs>\n",
       "     <g style=\"fill:#2ca02c;\" transform=\"translate(422.629687 175.786406)rotate(-90)scale(0.1 -0.1)\">\n",
       "      <use xlink:href=\"#DejaVuSans-69\"/>\n",
       "      <use x=\"63.183594\" xlink:href=\"#DejaVuSans-120\"/>\n",
       "      <use x=\"122.316406\" xlink:href=\"#DejaVuSans-101\"/>\n",
       "      <use x=\"183.839844\" xlink:href=\"#DejaVuSans-99\"/>\n",
       "      <use x=\"238.820312\" xlink:href=\"#DejaVuSans-117\"/>\n",
       "      <use x=\"302.199219\" xlink:href=\"#DejaVuSans-116\"/>\n",
       "      <use x=\"341.408203\" xlink:href=\"#DejaVuSans-105\"/>\n",
       "      <use x=\"369.191406\" xlink:href=\"#DejaVuSans-111\"/>\n",
       "      <use x=\"430.373047\" xlink:href=\"#DejaVuSans-110\"/>\n",
       "      <use x=\"493.751953\" xlink:href=\"#DejaVuSans-32\"/>\n",
       "      <use x=\"525.539062\" xlink:href=\"#DejaVuSans-82\"/>\n",
       "      <use x=\"594.990234\" xlink:href=\"#DejaVuSans-97\"/>\n",
       "      <use x=\"656.269531\" xlink:href=\"#DejaVuSans-116\"/>\n",
       "      <use x=\"695.478516\" xlink:href=\"#DejaVuSans-105\"/>\n",
       "      <use x=\"723.261719\" xlink:href=\"#DejaVuSans-111\"/>\n",
       "      <use x=\"784.443359\" xlink:href=\"#DejaVuSans-32\"/>\n",
       "      <use x=\"816.230469\" xlink:href=\"#DejaVuSans-40\"/>\n",
       "      <use x=\"855.244141\" xlink:href=\"#DejaVuSans-61\"/>\n",
       "      <use x=\"939.033203\" xlink:href=\"#DejaVuSans-112\"/>\n",
       "      <use x=\"1002.509766\" xlink:href=\"#DejaVuSans-47\"/>\n",
       "      <use x=\"1036.201172\" xlink:href=\"#DejaVuSans-115\"/>\n",
       "      <use x=\"1088.300781\" xlink:href=\"#DejaVuSans-41\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_32\">\n",
       "    <path clip-path=\"url(#pdb99654a9d)\" d=\"M 62.183807 218.256364 \n",
       "L 79.331054 140.717802 \n",
       "L 87.904677 127.110476 \n",
       "L 96.478301 98.893419 \n",
       "L 105.051925 20.583636 \n",
       "L 130.772795 75.582053 \n",
       "L 157.922603 138.920624 \n",
       "L 262.235023 211.405279 \n",
       "L 366.547443 213.342248 \n",
       "\" style=\"fill:none;stroke:#2ca02c;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    <g clip-path=\"url(#pdb99654a9d)\">\n",
       "     <use style=\"fill-opacity:0;stroke:#2ca02c;\" x=\"62.183807\" xlink:href=\"#m2464101009\" y=\"218.256364\"/>\n",
       "     <use style=\"fill-opacity:0;stroke:#2ca02c;\" x=\"79.331054\" xlink:href=\"#m2464101009\" y=\"140.717802\"/>\n",
       "     <use style=\"fill-opacity:0;stroke:#2ca02c;\" x=\"87.904677\" xlink:href=\"#m2464101009\" y=\"127.110476\"/>\n",
       "     <use style=\"fill-opacity:0;stroke:#2ca02c;\" x=\"96.478301\" xlink:href=\"#m2464101009\" y=\"98.893419\"/>\n",
       "     <use style=\"fill-opacity:0;stroke:#2ca02c;\" x=\"105.051925\" xlink:href=\"#m2464101009\" y=\"20.583636\"/>\n",
       "     <use style=\"fill-opacity:0;stroke:#2ca02c;\" x=\"130.772795\" xlink:href=\"#m2464101009\" y=\"75.582053\"/>\n",
       "     <use style=\"fill-opacity:0;stroke:#2ca02c;\" x=\"157.922603\" xlink:href=\"#m2464101009\" y=\"138.920624\"/>\n",
       "     <use style=\"fill-opacity:0;stroke:#2ca02c;\" x=\"262.235023\" xlink:href=\"#m2464101009\" y=\"211.405279\"/>\n",
       "     <use style=\"fill-opacity:0;stroke:#2ca02c;\" x=\"366.547443\" xlink:href=\"#m2464101009\" y=\"213.342248\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"patch_8\">\n",
       "    <path d=\"M 46.965625 228.14 \n",
       "L 46.965625 10.7 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_9\">\n",
       "    <path d=\"M 381.765625 228.14 \n",
       "L 381.765625 10.7 \n",
       "\" style=\"fill:none;stroke:#2ca02c;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_10\">\n",
       "    <path d=\"M 46.965625 228.14 \n",
       "L 381.765625 228.14 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_11\">\n",
       "    <path d=\"M 46.965625 10.7 \n",
       "L 381.765625 10.7 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n",
       "   </g>\n",
       "  </g>\n",
       " </g>\n",
       " <defs>\n",
       "  <clipPath id=\"pdb99654a9d\">\n",
       "   <rect height=\"217.44\" width=\"334.8\" x=\"46.965625\" y=\"10.7\"/>\n",
       "  </clipPath>\n",
       " </defs>\n",
       "</svg>\n"
      ],
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "df_benchmark = pd.DataFrame([\n",
    "    dict_time_par,\n",
    "    dict_time_ser,\n",
    "]).T.rename(columns={\n",
    "    0: 'parallel',\n",
    "    1: 'serial',\n",
    "})\n",
    "df_benchmark.index = (df_benchmark.index / 288).astype(int).set_names(\n",
    "    'Length of Simulation Period (day)')\n",
    "# df_benchmark.columns.set_names('Execution Time (s)',inplace=True)\n",
    "df_benchmark = df_benchmark\\\n",
    "    .assign(\n",
    "        ratio=df_benchmark['parallel'] / df_benchmark['serial']\n",
    "    )\\\n",
    "    .rename(columns={'ratio': 'ratio (=p/s, right)'})\n",
    "# df_benchmark = df_benchmark.drop(index=[1,7,240])\n",
    "ax = df_benchmark.plot(secondary_y='ratio (=p/s, right)',marker='o',fillstyle='none')\n",
    "\n",
    "ax.set_ylabel('Execution Time (s)')\n",
    "\n",
    "lines = ax.get_lines() + ax.right_ax.get_lines()\n",
    "ax.legend(lines, [l.get_label() for l in lines], loc='upper center')\n",
    "\n",
    "ax.right_ax.spines['right'].set_color('C2')\n",
    "ax.right_ax.tick_params(axis='y', colors='C2')\n",
    "ax.right_ax.set_ylabel('Execution Ratio (=p/s)',color='C2')\n",
    "# patches,labels=ax.get_legend_handles_labels()\n",
    "\n",
    "# ax.legend(patches,labels, loc='upper center')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Surface properties: surface albedo"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Examine the default albedo values loaded from the sample dataset"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-02-09T17:05:54.410072Z",
     "start_time": "2019-02-09T17:05:54.397317Z"
    }
   },
   "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>ind_dim</th>\n",
       "      <th>(0,)</th>\n",
       "      <th>(1,)</th>\n",
       "      <th>(2,)</th>\n",
       "      <th>(3,)</th>\n",
       "      <th>(4,)</th>\n",
       "      <th>(5,)</th>\n",
       "      <th>(6,)</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>grid</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>98</th>\n",
       "      <td>0.12</td>\n",
       "      <td>0.15</td>\n",
       "      <td>0.12</td>\n",
       "      <td>0.18</td>\n",
       "      <td>0.21</td>\n",
       "      <td>0.21</td>\n",
       "      <td>0.1</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "ind_dim  (0,)  (1,)  (2,)  (3,)  (4,)  (5,)  (6,)\n",
       "grid                                             \n",
       "98       0.12  0.15  0.12  0.18  0.21  0.21   0.1"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df_state_init.alb\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Copy the initial condition `DataFrame`  to have a *clean slate* for our study\n",
    "\n",
    "Note: `DataFrame.copy()` defaults to `deepcopy`"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-02-09T17:05:57.603159Z",
     "start_time": "2019-02-09T17:05:57.600423Z"
    }
   },
   "outputs": [],
   "source": [
    "df_state_init_test = df_state_init.copy()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Set the `Bldg` land cover to 100% for this study"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-02-09T17:06:00.105278Z",
     "start_time": "2019-02-09T17:06:00.091471Z"
    }
   },
   "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>ind_dim</th>\n",
       "      <th>(0,)</th>\n",
       "      <th>(1,)</th>\n",
       "      <th>(2,)</th>\n",
       "      <th>(3,)</th>\n",
       "      <th>(4,)</th>\n",
       "      <th>(5,)</th>\n",
       "      <th>(6,)</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>grid</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>98</th>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "ind_dim  (0,)  (1,)  (2,)  (3,)  (4,)  (5,)  (6,)\n",
       "grid                                             \n",
       "98          0     1     0     0     0     0     0"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df_state_init_test.sfr = 0\n",
    "df_state_init_test.loc[:, ('sfr', '(1,)')] = 1\n",
    "df_state_init_test.sfr\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Construct a `df_state_init_x` dataframe to perform `supy` simulation with specified albedo"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-02-09T17:06:03.809908Z",
     "start_time": "2019-02-09T17:06:03.775994Z"
    }
   },
   "outputs": [],
   "source": [
    "# create a `df_state_init_x` with different surface properties\n",
    "n_test = 24\n",
    "list_alb_test = np.linspace(0.1, 0.8, n_test).round(2)\n",
    "df_state_init_x = df_state_init_test.append(\n",
    "    [df_state_init_test]*(n_test-1), ignore_index=True)\n",
    "\n",
    "# here we modify surface albedo\n",
    "df_state_init_x.loc[:, ('alb', '(1,)')] = list_alb_test\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Conduct simulations with `supy`"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-02-09T17:10:32.142538Z",
     "start_time": "2019-02-09T17:07:58.709016Z"
    }
   },
   "outputs": [],
   "source": [
    "df_forcing_part = df_forcing.loc['2012 01':'2012 07']\n",
    "df_res_alb_test = run_supy_mgrids(df_state_init_x, df_forcing_part)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-02-09T17:10:35.044736Z",
     "start_time": "2019-02-09T17:10:35.024984Z"
    }
   },
   "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>iy</th>\n",
       "      <th>id</th>\n",
       "      <th>it</th>\n",
       "      <th>imin</th>\n",
       "      <th>qn</th>\n",
       "      <th>qh</th>\n",
       "      <th>qe</th>\n",
       "      <th>qs</th>\n",
       "      <th>qf</th>\n",
       "      <th>U</th>\n",
       "      <th>...</th>\n",
       "      <th>snow</th>\n",
       "      <th>ldown</th>\n",
       "      <th>fcld</th>\n",
       "      <th>Wuh</th>\n",
       "      <th>xsmd</th>\n",
       "      <th>lai</th>\n",
       "      <th>kdiff</th>\n",
       "      <th>kdir</th>\n",
       "      <th>wdir</th>\n",
       "      <th>isec</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2012-01-01 00:05:00</th>\n",
       "      <td>2012</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>5</td>\n",
       "      <td>-999.0</td>\n",
       "      <td>-999.0</td>\n",
       "      <td>-999.0</td>\n",
       "      <td>-999.0</td>\n",
       "      <td>-999.0</td>\n",
       "      <td>4.51500</td>\n",
       "      <td>...</td>\n",
       "      <td>-999.0</td>\n",
       "      <td>-999.0</td>\n",
       "      <td>-999.0</td>\n",
       "      <td>-999.0</td>\n",
       "      <td>-999.0</td>\n",
       "      <td>-999.0</td>\n",
       "      <td>-999.0</td>\n",
       "      <td>-999.0</td>\n",
       "      <td>-999.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2012-07-31 23:55:00</th>\n",
       "      <td>2012</td>\n",
       "      <td>213</td>\n",
       "      <td>23</td>\n",
       "      <td>55</td>\n",
       "      <td>-999.0</td>\n",
       "      <td>-999.0</td>\n",
       "      <td>-999.0</td>\n",
       "      <td>-999.0</td>\n",
       "      <td>-999.0</td>\n",
       "      <td>3.46125</td>\n",
       "      <td>...</td>\n",
       "      <td>-999.0</td>\n",
       "      <td>-999.0</td>\n",
       "      <td>-999.0</td>\n",
       "      <td>-999.0</td>\n",
       "      <td>-999.0</td>\n",
       "      <td>-999.0</td>\n",
       "      <td>-999.0</td>\n",
       "      <td>-999.0</td>\n",
       "      <td>-999.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>2 rows × 25 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "                       iy   id  it  imin     qn     qh     qe     qs     qf  \\\n",
       "2012-01-01 00:05:00  2012    1   0     5 -999.0 -999.0 -999.0 -999.0 -999.0   \n",
       "2012-07-31 23:55:00  2012  213  23    55 -999.0 -999.0 -999.0 -999.0 -999.0   \n",
       "\n",
       "                           U  ...   snow  ldown   fcld    Wuh   xsmd    lai  \\\n",
       "2012-01-01 00:05:00  4.51500  ... -999.0 -999.0 -999.0 -999.0 -999.0 -999.0   \n",
       "2012-07-31 23:55:00  3.46125  ... -999.0 -999.0 -999.0 -999.0 -999.0 -999.0   \n",
       "\n",
       "                     kdiff   kdir   wdir  isec  \n",
       "2012-01-01 00:05:00 -999.0 -999.0 -999.0   0.0  \n",
       "2012-07-31 23:55:00 -999.0 -999.0 -999.0   0.0  \n",
       "\n",
       "[2 rows x 25 columns]"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df_forcing_part.iloc[[0,-1]]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-02-09T17:12:11.692028Z",
     "start_time": "2019-02-09T17:12:11.664491Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead tr th {\n",
       "        text-align: left;\n",
       "    }\n",
       "\n",
       "    .dataframe thead tr:last-of-type th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr>\n",
       "      <th>var</th>\n",
       "      <th colspan=\"10\" halign=\"left\">Kdown</th>\n",
       "      <th>...</th>\n",
       "      <th colspan=\"10\" halign=\"left\">U10</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>alb</th>\n",
       "      <th>0.10</th>\n",
       "      <th>0.13</th>\n",
       "      <th>0.16</th>\n",
       "      <th>0.19</th>\n",
       "      <th>0.22</th>\n",
       "      <th>0.25</th>\n",
       "      <th>0.28</th>\n",
       "      <th>0.31</th>\n",
       "      <th>0.34</th>\n",
       "      <th>0.37</th>\n",
       "      <th>...</th>\n",
       "      <th>0.53</th>\n",
       "      <th>0.56</th>\n",
       "      <th>0.59</th>\n",
       "      <th>0.62</th>\n",
       "      <th>0.65</th>\n",
       "      <th>0.68</th>\n",
       "      <th>0.71</th>\n",
       "      <th>0.74</th>\n",
       "      <th>0.77</th>\n",
       "      <th>0.80</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>datetime</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2012-01-01 00:05:00</th>\n",
       "      <td>0.153333</td>\n",
       "      <td>0.153333</td>\n",
       "      <td>0.153333</td>\n",
       "      <td>0.153333</td>\n",
       "      <td>0.153333</td>\n",
       "      <td>0.153333</td>\n",
       "      <td>0.153333</td>\n",
       "      <td>0.153333</td>\n",
       "      <td>0.153333</td>\n",
       "      <td>0.153333</td>\n",
       "      <td>...</td>\n",
       "      <td>4.504253</td>\n",
       "      <td>4.504254</td>\n",
       "      <td>4.504254</td>\n",
       "      <td>4.504255</td>\n",
       "      <td>4.504255</td>\n",
       "      <td>4.504256</td>\n",
       "      <td>4.504256</td>\n",
       "      <td>4.504257</td>\n",
       "      <td>4.504258</td>\n",
       "      <td>4.504258</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2012-01-01 00:10:00</th>\n",
       "      <td>0.153333</td>\n",
       "      <td>0.153333</td>\n",
       "      <td>0.153333</td>\n",
       "      <td>0.153333</td>\n",
       "      <td>0.153333</td>\n",
       "      <td>0.153333</td>\n",
       "      <td>0.153333</td>\n",
       "      <td>0.153333</td>\n",
       "      <td>0.153333</td>\n",
       "      <td>0.153333</td>\n",
       "      <td>...</td>\n",
       "      <td>4.504464</td>\n",
       "      <td>4.504465</td>\n",
       "      <td>4.504465</td>\n",
       "      <td>4.504466</td>\n",
       "      <td>4.504466</td>\n",
       "      <td>4.504467</td>\n",
       "      <td>4.504467</td>\n",
       "      <td>4.504468</td>\n",
       "      <td>4.504469</td>\n",
       "      <td>4.504469</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2012-01-01 00:15:00</th>\n",
       "      <td>0.153333</td>\n",
       "      <td>0.153333</td>\n",
       "      <td>0.153333</td>\n",
       "      <td>0.153333</td>\n",
       "      <td>0.153333</td>\n",
       "      <td>0.153333</td>\n",
       "      <td>0.153333</td>\n",
       "      <td>0.153333</td>\n",
       "      <td>0.153333</td>\n",
       "      <td>0.153333</td>\n",
       "      <td>...</td>\n",
       "      <td>4.504675</td>\n",
       "      <td>4.504676</td>\n",
       "      <td>4.504676</td>\n",
       "      <td>4.504677</td>\n",
       "      <td>4.504678</td>\n",
       "      <td>4.504678</td>\n",
       "      <td>4.504679</td>\n",
       "      <td>4.504679</td>\n",
       "      <td>4.504680</td>\n",
       "      <td>4.504680</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2012-01-01 00:20:00</th>\n",
       "      <td>0.153333</td>\n",
       "      <td>0.153333</td>\n",
       "      <td>0.153333</td>\n",
       "      <td>0.153333</td>\n",
       "      <td>0.153333</td>\n",
       "      <td>0.153333</td>\n",
       "      <td>0.153333</td>\n",
       "      <td>0.153333</td>\n",
       "      <td>0.153333</td>\n",
       "      <td>0.153333</td>\n",
       "      <td>...</td>\n",
       "      <td>4.504887</td>\n",
       "      <td>4.504887</td>\n",
       "      <td>4.504888</td>\n",
       "      <td>4.504888</td>\n",
       "      <td>4.504889</td>\n",
       "      <td>4.504889</td>\n",
       "      <td>4.504890</td>\n",
       "      <td>4.504891</td>\n",
       "      <td>4.504891</td>\n",
       "      <td>4.504892</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2012-01-01 00:25:00</th>\n",
       "      <td>0.153333</td>\n",
       "      <td>0.153333</td>\n",
       "      <td>0.153333</td>\n",
       "      <td>0.153333</td>\n",
       "      <td>0.153333</td>\n",
       "      <td>0.153333</td>\n",
       "      <td>0.153333</td>\n",
       "      <td>0.153333</td>\n",
       "      <td>0.153333</td>\n",
       "      <td>0.153333</td>\n",
       "      <td>...</td>\n",
       "      <td>4.505098</td>\n",
       "      <td>4.505099</td>\n",
       "      <td>4.505099</td>\n",
       "      <td>4.505100</td>\n",
       "      <td>4.505101</td>\n",
       "      <td>4.505101</td>\n",
       "      <td>4.505102</td>\n",
       "      <td>4.505102</td>\n",
       "      <td>4.505103</td>\n",
       "      <td>4.505103</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>5 rows × 1920 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "var                     Kdown                                          \\\n",
       "alb                      0.10      0.13      0.16      0.19      0.22   \n",
       "datetime                                                                \n",
       "2012-01-01 00:05:00  0.153333  0.153333  0.153333  0.153333  0.153333   \n",
       "2012-01-01 00:10:00  0.153333  0.153333  0.153333  0.153333  0.153333   \n",
       "2012-01-01 00:15:00  0.153333  0.153333  0.153333  0.153333  0.153333   \n",
       "2012-01-01 00:20:00  0.153333  0.153333  0.153333  0.153333  0.153333   \n",
       "2012-01-01 00:25:00  0.153333  0.153333  0.153333  0.153333  0.153333   \n",
       "\n",
       "var                                                                    ...  \\\n",
       "alb                      0.25      0.28      0.31      0.34      0.37  ...   \n",
       "datetime                                                               ...   \n",
       "2012-01-01 00:05:00  0.153333  0.153333  0.153333  0.153333  0.153333  ...   \n",
       "2012-01-01 00:10:00  0.153333  0.153333  0.153333  0.153333  0.153333  ...   \n",
       "2012-01-01 00:15:00  0.153333  0.153333  0.153333  0.153333  0.153333  ...   \n",
       "2012-01-01 00:20:00  0.153333  0.153333  0.153333  0.153333  0.153333  ...   \n",
       "2012-01-01 00:25:00  0.153333  0.153333  0.153333  0.153333  0.153333  ...   \n",
       "\n",
       "var                       U10                                          \\\n",
       "alb                      0.53      0.56      0.59      0.62      0.65   \n",
       "datetime                                                                \n",
       "2012-01-01 00:05:00  4.504253  4.504254  4.504254  4.504255  4.504255   \n",
       "2012-01-01 00:10:00  4.504464  4.504465  4.504465  4.504466  4.504466   \n",
       "2012-01-01 00:15:00  4.504675  4.504676  4.504676  4.504677  4.504678   \n",
       "2012-01-01 00:20:00  4.504887  4.504887  4.504888  4.504888  4.504889   \n",
       "2012-01-01 00:25:00  4.505098  4.505099  4.505099  4.505100  4.505101   \n",
       "\n",
       "var                                                                    \n",
       "alb                      0.68      0.71      0.74      0.77      0.80  \n",
       "datetime                                                               \n",
       "2012-01-01 00:05:00  4.504256  4.504256  4.504257  4.504258  4.504258  \n",
       "2012-01-01 00:10:00  4.504467  4.504467  4.504468  4.504469  4.504469  \n",
       "2012-01-01 00:15:00  4.504678  4.504679  4.504679  4.504680  4.504680  \n",
       "2012-01-01 00:20:00  4.504889  4.504890  4.504891  4.504891  4.504892  \n",
       "2012-01-01 00:25:00  4.505101  4.505102  4.505102  4.505103  4.505103  \n",
       "\n",
       "[5 rows x 1920 columns]"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df_res_alb_test_x=.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-02-09T17:12:54.458227Z",
     "start_time": "2019-02-09T17:12:54.450903Z"
    }
   },
   "outputs": [],
   "source": [
    "ind_alb = df_res_alb_test\\\n",
    "    .index\\\n",
    "    .set_levels(list_alb_test, level=0)\\\n",
    "    .set_names('alb', level=0)\n",
    "df_res_alb_test.index = ind_alb\n",
    "df_res_alb_test = df_res_alb_test.SUEWS.unstack(0)\n",
    "df_res_alb_test_july=df_res_alb_test.loc['2012 7']"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Examine the simulation results"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-02-09T17:13:24.225857Z",
     "start_time": "2019-02-09T17:13:24.151009Z"
    },
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th>alb</th>\n",
       "      <th>0.1</th>\n",
       "      <th>0.13</th>\n",
       "      <th>0.16</th>\n",
       "      <th>0.19</th>\n",
       "      <th>0.22</th>\n",
       "      <th>0.25</th>\n",
       "      <th>0.28</th>\n",
       "      <th>0.31</th>\n",
       "      <th>0.34</th>\n",
       "      <th>0.37</th>\n",
       "      <th>...</th>\n",
       "      <th>0.53</th>\n",
       "      <th>0.56</th>\n",
       "      <th>0.59</th>\n",
       "      <th>0.62</th>\n",
       "      <th>0.65</th>\n",
       "      <th>0.68</th>\n",
       "      <th>0.71</th>\n",
       "      <th>0.74</th>\n",
       "      <th>0.77</th>\n",
       "      <th>0.8</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>count</th>\n",
       "      <td>8928.000000</td>\n",
       "      <td>8928.000000</td>\n",
       "      <td>8928.000000</td>\n",
       "      <td>8928.000000</td>\n",
       "      <td>8928.000000</td>\n",
       "      <td>8928.000000</td>\n",
       "      <td>8928.000000</td>\n",
       "      <td>8928.000000</td>\n",
       "      <td>8928.000000</td>\n",
       "      <td>8928.000000</td>\n",
       "      <td>...</td>\n",
       "      <td>8928.000000</td>\n",
       "      <td>8928.000000</td>\n",
       "      <td>8928.000000</td>\n",
       "      <td>8928.000000</td>\n",
       "      <td>8928.000000</td>\n",
       "      <td>8928.000000</td>\n",
       "      <td>8928.000000</td>\n",
       "      <td>8928.000000</td>\n",
       "      <td>8928.000000</td>\n",
       "      <td>8928.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>mean</th>\n",
       "      <td>17.228250</td>\n",
       "      <td>17.221805</td>\n",
       "      <td>17.215353</td>\n",
       "      <td>17.208898</td>\n",
       "      <td>17.202437</td>\n",
       "      <td>17.195971</td>\n",
       "      <td>17.189499</td>\n",
       "      <td>17.183020</td>\n",
       "      <td>17.176535</td>\n",
       "      <td>17.170043</td>\n",
       "      <td>...</td>\n",
       "      <td>17.135316</td>\n",
       "      <td>17.128783</td>\n",
       "      <td>17.122244</td>\n",
       "      <td>17.115696</td>\n",
       "      <td>17.109142</td>\n",
       "      <td>17.102582</td>\n",
       "      <td>17.096015</td>\n",
       "      <td>17.089442</td>\n",
       "      <td>17.082861</td>\n",
       "      <td>17.076274</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>std</th>\n",
       "      <td>3.329098</td>\n",
       "      <td>3.324287</td>\n",
       "      <td>3.319480</td>\n",
       "      <td>3.314680</td>\n",
       "      <td>3.309883</td>\n",
       "      <td>3.305090</td>\n",
       "      <td>3.300301</td>\n",
       "      <td>3.295519</td>\n",
       "      <td>3.290738</td>\n",
       "      <td>3.285962</td>\n",
       "      <td>...</td>\n",
       "      <td>3.260573</td>\n",
       "      <td>3.255821</td>\n",
       "      <td>3.251075</td>\n",
       "      <td>3.246331</td>\n",
       "      <td>3.241592</td>\n",
       "      <td>3.236857</td>\n",
       "      <td>3.232125</td>\n",
       "      <td>3.227395</td>\n",
       "      <td>3.222669</td>\n",
       "      <td>3.217943</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>min</th>\n",
       "      <td>11.170041</td>\n",
       "      <td>11.169539</td>\n",
       "      <td>11.169037</td>\n",
       "      <td>11.168535</td>\n",
       "      <td>11.168033</td>\n",
       "      <td>11.167531</td>\n",
       "      <td>11.167028</td>\n",
       "      <td>11.166526</td>\n",
       "      <td>11.166024</td>\n",
       "      <td>11.165522</td>\n",
       "      <td>...</td>\n",
       "      <td>11.162844</td>\n",
       "      <td>11.162341</td>\n",
       "      <td>11.161839</td>\n",
       "      <td>11.161337</td>\n",
       "      <td>11.160835</td>\n",
       "      <td>11.160333</td>\n",
       "      <td>11.159830</td>\n",
       "      <td>11.159328</td>\n",
       "      <td>11.158826</td>\n",
       "      <td>11.158323</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25%</th>\n",
       "      <td>15.056289</td>\n",
       "      <td>15.055676</td>\n",
       "      <td>15.052872</td>\n",
       "      <td>15.051240</td>\n",
       "      <td>15.049831</td>\n",
       "      <td>15.047780</td>\n",
       "      <td>15.044683</td>\n",
       "      <td>15.041799</td>\n",
       "      <td>15.039364</td>\n",
       "      <td>15.037256</td>\n",
       "      <td>...</td>\n",
       "      <td>15.025955</td>\n",
       "      <td>15.023428</td>\n",
       "      <td>15.021041</td>\n",
       "      <td>15.019697</td>\n",
       "      <td>15.017206</td>\n",
       "      <td>15.015011</td>\n",
       "      <td>15.010614</td>\n",
       "      <td>15.004378</td>\n",
       "      <td>14.996300</td>\n",
       "      <td>14.993286</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>50%</th>\n",
       "      <td>16.567200</td>\n",
       "      <td>16.563258</td>\n",
       "      <td>16.559877</td>\n",
       "      <td>16.558056</td>\n",
       "      <td>16.553386</td>\n",
       "      <td>16.549466</td>\n",
       "      <td>16.548026</td>\n",
       "      <td>16.545437</td>\n",
       "      <td>16.538896</td>\n",
       "      <td>16.533971</td>\n",
       "      <td>...</td>\n",
       "      <td>16.508681</td>\n",
       "      <td>16.504471</td>\n",
       "      <td>16.497391</td>\n",
       "      <td>16.491112</td>\n",
       "      <td>16.483990</td>\n",
       "      <td>16.480801</td>\n",
       "      <td>16.477759</td>\n",
       "      <td>16.472855</td>\n",
       "      <td>16.467660</td>\n",
       "      <td>16.462985</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>75%</th>\n",
       "      <td>18.539557</td>\n",
       "      <td>18.528776</td>\n",
       "      <td>18.517567</td>\n",
       "      <td>18.508257</td>\n",
       "      <td>18.505134</td>\n",
       "      <td>18.498565</td>\n",
       "      <td>18.491591</td>\n",
       "      <td>18.483813</td>\n",
       "      <td>18.476377</td>\n",
       "      <td>18.468075</td>\n",
       "      <td>...</td>\n",
       "      <td>18.426674</td>\n",
       "      <td>18.420512</td>\n",
       "      <td>18.411558</td>\n",
       "      <td>18.405740</td>\n",
       "      <td>18.393170</td>\n",
       "      <td>18.384248</td>\n",
       "      <td>18.376006</td>\n",
       "      <td>18.371998</td>\n",
       "      <td>18.363307</td>\n",
       "      <td>18.354587</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>max</th>\n",
       "      <td>29.949275</td>\n",
       "      <td>29.906529</td>\n",
       "      <td>29.863626</td>\n",
       "      <td>29.820563</td>\n",
       "      <td>29.777337</td>\n",
       "      <td>29.733945</td>\n",
       "      <td>29.690383</td>\n",
       "      <td>29.646649</td>\n",
       "      <td>29.612174</td>\n",
       "      <td>29.587775</td>\n",
       "      <td>...</td>\n",
       "      <td>29.455759</td>\n",
       "      <td>29.431154</td>\n",
       "      <td>29.406500</td>\n",
       "      <td>29.381796</td>\n",
       "      <td>29.357040</td>\n",
       "      <td>29.332234</td>\n",
       "      <td>29.307376</td>\n",
       "      <td>29.282467</td>\n",
       "      <td>29.257506</td>\n",
       "      <td>29.232492</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>8 rows × 24 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "alb           0.10         0.13         0.16         0.19         0.22  \\\n",
       "count  8928.000000  8928.000000  8928.000000  8928.000000  8928.000000   \n",
       "mean     17.228250    17.221805    17.215353    17.208898    17.202437   \n",
       "std       3.329098     3.324287     3.319480     3.314680     3.309883   \n",
       "min      11.170041    11.169539    11.169037    11.168535    11.168033   \n",
       "25%      15.056289    15.055676    15.052872    15.051240    15.049831   \n",
       "50%      16.567200    16.563258    16.559877    16.558056    16.553386   \n",
       "75%      18.539557    18.528776    18.517567    18.508257    18.505134   \n",
       "max      29.949275    29.906529    29.863626    29.820563    29.777337   \n",
       "\n",
       "alb           0.25         0.28         0.31         0.34         0.37  ...  \\\n",
       "count  8928.000000  8928.000000  8928.000000  8928.000000  8928.000000  ...   \n",
       "mean     17.195971    17.189499    17.183020    17.176535    17.170043  ...   \n",
       "std       3.305090     3.300301     3.295519     3.290738     3.285962  ...   \n",
       "min      11.167531    11.167028    11.166526    11.166024    11.165522  ...   \n",
       "25%      15.047780    15.044683    15.041799    15.039364    15.037256  ...   \n",
       "50%      16.549466    16.548026    16.545437    16.538896    16.533971  ...   \n",
       "75%      18.498565    18.491591    18.483813    18.476377    18.468075  ...   \n",
       "max      29.733945    29.690383    29.646649    29.612174    29.587775  ...   \n",
       "\n",
       "alb           0.53         0.56         0.59         0.62         0.65  \\\n",
       "count  8928.000000  8928.000000  8928.000000  8928.000000  8928.000000   \n",
       "mean     17.135316    17.128783    17.122244    17.115696    17.109142   \n",
       "std       3.260573     3.255821     3.251075     3.246331     3.241592   \n",
       "min      11.162844    11.162341    11.161839    11.161337    11.160835   \n",
       "25%      15.025955    15.023428    15.021041    15.019697    15.017206   \n",
       "50%      16.508681    16.504471    16.497391    16.491112    16.483990   \n",
       "75%      18.426674    18.420512    18.411558    18.405740    18.393170   \n",
       "max      29.455759    29.431154    29.406500    29.381796    29.357040   \n",
       "\n",
       "alb           0.68         0.71         0.74         0.77         0.80  \n",
       "count  8928.000000  8928.000000  8928.000000  8928.000000  8928.000000  \n",
       "mean     17.102582    17.096015    17.089442    17.082861    17.076274  \n",
       "std       3.236857     3.232125     3.227395     3.222669     3.217943  \n",
       "min      11.160333    11.159830    11.159328    11.158826    11.158323  \n",
       "25%      15.015011    15.010614    15.004378    14.996300    14.993286  \n",
       "50%      16.480801    16.477759    16.472855    16.467660    16.462985  \n",
       "75%      18.384248    18.376006    18.371998    18.363307    18.354587  \n",
       "max      29.332234    29.307376    29.282467    29.257506    29.232492  \n",
       "\n",
       "[8 rows x 24 columns]"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df_res_alb_test_july.T2.describe()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "ExecuteTime": {
     "start_time": "2019-02-09T17:18:41.352Z"
    }
   },
   "outputs": [],
   "source": [
    "df_res_alb_T2_stat = df_res_alb_test_july.T2.describe()\n",
    "df_res_alb_T2_diff = df_res_alb_T2_stat.transform(\n",
    "    lambda x: x - df_res_alb_T2_stat.iloc[:, 0])\n",
    "df_res_alb_T2_diff.columns = df_res_alb_T2_diff.columns-df_res_alb_T2_diff.columns[0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-02-09T17:55:15.346440Z",
     "start_time": "2019-02-09T17:55:15.163446Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/svg+xml": [
       "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n",
       "<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n",
       "  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n",
       "<!-- Created with matplotlib (https://matplotlib.org/) -->\n",
       "<svg height=\"265.69625pt\" version=\"1.1\" viewBox=\"0 0 402.1125 265.69625\" width=\"402.1125pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
       " <defs>\n",
       "  <style type=\"text/css\">\n",
       "*{stroke-linecap:butt;stroke-linejoin:round;}\n",
       "  </style>\n",
       " </defs>\n",
       " <g id=\"figure_1\">\n",
       "  <g id=\"patch_1\">\n",
       "   <path d=\"M 0 265.69625 \n",
       "L 402.1125 265.69625 \n",
       "L 402.1125 0 \n",
       "L 0 0 \n",
       "z\n",
       "\" style=\"fill:none;\"/>\n",
       "  </g>\n",
       "  <g id=\"axes_1\">\n",
       "   <g id=\"patch_2\">\n",
       "    <path d=\"M 52.160938 228.14 \n",
       "L 386.960938 228.14 \n",
       "L 386.960938 10.7 \n",
       "L 52.160938 10.7 \n",
       "z\n",
       "\" style=\"fill:#ffffff;\"/>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_1\">\n",
       "    <g id=\"xtick_1\">\n",
       "     <g id=\"line2d_1\">\n",
       "      <defs>\n",
       "       <path d=\"M 0 0 \n",
       "L 0 3.5 \n",
       "\" id=\"m35a68c6d8c\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"52.160938\" xlink:href=\"#m35a68c6d8c\" y=\"228.14\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_1\">\n",
       "      <!-- 0.0 -->\n",
       "      <defs>\n",
       "       <path d=\"M 31.78125 66.40625 \n",
       "Q 24.171875 66.40625 20.328125 58.90625 \n",
       "Q 16.5 51.421875 16.5 36.375 \n",
       "Q 16.5 21.390625 20.328125 13.890625 \n",
       "Q 24.171875 6.390625 31.78125 6.390625 \n",
       "Q 39.453125 6.390625 43.28125 13.890625 \n",
       "Q 47.125 21.390625 47.125 36.375 \n",
       "Q 47.125 51.421875 43.28125 58.90625 \n",
       "Q 39.453125 66.40625 31.78125 66.40625 \n",
       "z\n",
       "M 31.78125 74.21875 \n",
       "Q 44.046875 74.21875 50.515625 64.515625 \n",
       "Q 56.984375 54.828125 56.984375 36.375 \n",
       "Q 56.984375 17.96875 50.515625 8.265625 \n",
       "Q 44.046875 -1.421875 31.78125 -1.421875 \n",
       "Q 19.53125 -1.421875 13.0625 8.265625 \n",
       "Q 6.59375 17.96875 6.59375 36.375 \n",
       "Q 6.59375 54.828125 13.0625 64.515625 \n",
       "Q 19.53125 74.21875 31.78125 74.21875 \n",
       "z\n",
       "\" id=\"DejaVuSans-48\"/>\n",
       "       <path d=\"M 10.6875 12.40625 \n",
       "L 21 12.40625 \n",
       "L 21 0 \n",
       "L 10.6875 0 \n",
       "z\n",
       "\" id=\"DejaVuSans-46\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(44.209375 242.738437)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_2\">\n",
       "     <g id=\"line2d_2\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"99.989509\" xlink:href=\"#m35a68c6d8c\" y=\"228.14\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_2\">\n",
       "      <!-- 0.1 -->\n",
       "      <defs>\n",
       "       <path d=\"M 12.40625 8.296875 \n",
       "L 28.515625 8.296875 \n",
       "L 28.515625 63.921875 \n",
       "L 10.984375 60.40625 \n",
       "L 10.984375 69.390625 \n",
       "L 28.421875 72.90625 \n",
       "L 38.28125 72.90625 \n",
       "L 38.28125 8.296875 \n",
       "L 54.390625 8.296875 \n",
       "L 54.390625 0 \n",
       "L 12.40625 0 \n",
       "z\n",
       "\" id=\"DejaVuSans-49\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(92.037946 242.738437)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_3\">\n",
       "     <g id=\"line2d_3\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"147.81808\" xlink:href=\"#m35a68c6d8c\" y=\"228.14\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_3\">\n",
       "      <!-- 0.2 -->\n",
       "      <defs>\n",
       "       <path d=\"M 19.1875 8.296875 \n",
       "L 53.609375 8.296875 \n",
       "L 53.609375 0 \n",
       "L 7.328125 0 \n",
       "L 7.328125 8.296875 \n",
       "Q 12.9375 14.109375 22.625 23.890625 \n",
       "Q 32.328125 33.6875 34.8125 36.53125 \n",
       "Q 39.546875 41.84375 41.421875 45.53125 \n",
       "Q 43.3125 49.21875 43.3125 52.78125 \n",
       "Q 43.3125 58.59375 39.234375 62.25 \n",
       "Q 35.15625 65.921875 28.609375 65.921875 \n",
       "Q 23.96875 65.921875 18.8125 64.3125 \n",
       "Q 13.671875 62.703125 7.8125 59.421875 \n",
       "L 7.8125 69.390625 \n",
       "Q 13.765625 71.78125 18.9375 73 \n",
       "Q 24.125 74.21875 28.421875 74.21875 \n",
       "Q 39.75 74.21875 46.484375 68.546875 \n",
       "Q 53.21875 62.890625 53.21875 53.421875 \n",
       "Q 53.21875 48.921875 51.53125 44.890625 \n",
       "Q 49.859375 40.875 45.40625 35.40625 \n",
       "Q 44.1875 33.984375 37.640625 27.21875 \n",
       "Q 31.109375 20.453125 19.1875 8.296875 \n",
       "z\n",
       "\" id=\"DejaVuSans-50\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(139.866518 242.738437)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_4\">\n",
       "     <g id=\"line2d_4\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"195.646652\" xlink:href=\"#m35a68c6d8c\" y=\"228.14\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_4\">\n",
       "      <!-- 0.3 -->\n",
       "      <defs>\n",
       "       <path d=\"M 40.578125 39.3125 \n",
       "Q 47.65625 37.796875 51.625 33 \n",
       "Q 55.609375 28.21875 55.609375 21.1875 \n",
       "Q 55.609375 10.40625 48.1875 4.484375 \n",
       "Q 40.765625 -1.421875 27.09375 -1.421875 \n",
       "Q 22.515625 -1.421875 17.65625 -0.515625 \n",
       "Q 12.796875 0.390625 7.625 2.203125 \n",
       "L 7.625 11.71875 \n",
       "Q 11.71875 9.328125 16.59375 8.109375 \n",
       "Q 21.484375 6.890625 26.8125 6.890625 \n",
       "Q 36.078125 6.890625 40.9375 10.546875 \n",
       "Q 45.796875 14.203125 45.796875 21.1875 \n",
       "Q 45.796875 27.640625 41.28125 31.265625 \n",
       "Q 36.765625 34.90625 28.71875 34.90625 \n",
       "L 20.21875 34.90625 \n",
       "L 20.21875 43.015625 \n",
       "L 29.109375 43.015625 \n",
       "Q 36.375 43.015625 40.234375 45.921875 \n",
       "Q 44.09375 48.828125 44.09375 54.296875 \n",
       "Q 44.09375 59.90625 40.109375 62.90625 \n",
       "Q 36.140625 65.921875 28.71875 65.921875 \n",
       "Q 24.65625 65.921875 20.015625 65.03125 \n",
       "Q 15.375 64.15625 9.8125 62.3125 \n",
       "L 9.8125 71.09375 \n",
       "Q 15.4375 72.65625 20.34375 73.4375 \n",
       "Q 25.25 74.21875 29.59375 74.21875 \n",
       "Q 40.828125 74.21875 47.359375 69.109375 \n",
       "Q 53.90625 64.015625 53.90625 55.328125 \n",
       "Q 53.90625 49.265625 50.4375 45.09375 \n",
       "Q 46.96875 40.921875 40.578125 39.3125 \n",
       "z\n",
       "\" id=\"DejaVuSans-51\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(187.695089 242.738437)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-51\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_5\">\n",
       "     <g id=\"line2d_5\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"243.475223\" xlink:href=\"#m35a68c6d8c\" y=\"228.14\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_5\">\n",
       "      <!-- 0.4 -->\n",
       "      <defs>\n",
       "       <path d=\"M 37.796875 64.3125 \n",
       "L 12.890625 25.390625 \n",
       "L 37.796875 25.390625 \n",
       "z\n",
       "M 35.203125 72.90625 \n",
       "L 47.609375 72.90625 \n",
       "L 47.609375 25.390625 \n",
       "L 58.015625 25.390625 \n",
       "L 58.015625 17.1875 \n",
       "L 47.609375 17.1875 \n",
       "L 47.609375 0 \n",
       "L 37.796875 0 \n",
       "L 37.796875 17.1875 \n",
       "L 4.890625 17.1875 \n",
       "L 4.890625 26.703125 \n",
       "z\n",
       "\" id=\"DejaVuSans-52\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(235.523661 242.738437)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-52\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_6\">\n",
       "     <g id=\"line2d_6\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"291.303795\" xlink:href=\"#m35a68c6d8c\" y=\"228.14\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_6\">\n",
       "      <!-- 0.5 -->\n",
       "      <defs>\n",
       "       <path d=\"M 10.796875 72.90625 \n",
       "L 49.515625 72.90625 \n",
       "L 49.515625 64.59375 \n",
       "L 19.828125 64.59375 \n",
       "L 19.828125 46.734375 \n",
       "Q 21.96875 47.46875 24.109375 47.828125 \n",
       "Q 26.265625 48.1875 28.421875 48.1875 \n",
       "Q 40.625 48.1875 47.75 41.5 \n",
       "Q 54.890625 34.8125 54.890625 23.390625 \n",
       "Q 54.890625 11.625 47.5625 5.09375 \n",
       "Q 40.234375 -1.421875 26.90625 -1.421875 \n",
       "Q 22.3125 -1.421875 17.546875 -0.640625 \n",
       "Q 12.796875 0.140625 7.71875 1.703125 \n",
       "L 7.71875 11.625 \n",
       "Q 12.109375 9.234375 16.796875 8.0625 \n",
       "Q 21.484375 6.890625 26.703125 6.890625 \n",
       "Q 35.15625 6.890625 40.078125 11.328125 \n",
       "Q 45.015625 15.765625 45.015625 23.390625 \n",
       "Q 45.015625 31 40.078125 35.4375 \n",
       "Q 35.15625 39.890625 26.703125 39.890625 \n",
       "Q 22.75 39.890625 18.8125 39.015625 \n",
       "Q 14.890625 38.140625 10.796875 36.28125 \n",
       "z\n",
       "\" id=\"DejaVuSans-53\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(283.352232 242.738437)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_7\">\n",
       "     <g id=\"line2d_7\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"339.132366\" xlink:href=\"#m35a68c6d8c\" y=\"228.14\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_7\">\n",
       "      <!-- 0.6 -->\n",
       "      <defs>\n",
       "       <path d=\"M 33.015625 40.375 \n",
       "Q 26.375 40.375 22.484375 35.828125 \n",
       "Q 18.609375 31.296875 18.609375 23.390625 \n",
       "Q 18.609375 15.53125 22.484375 10.953125 \n",
       "Q 26.375 6.390625 33.015625 6.390625 \n",
       "Q 39.65625 6.390625 43.53125 10.953125 \n",
       "Q 47.40625 15.53125 47.40625 23.390625 \n",
       "Q 47.40625 31.296875 43.53125 35.828125 \n",
       "Q 39.65625 40.375 33.015625 40.375 \n",
       "z\n",
       "M 52.59375 71.296875 \n",
       "L 52.59375 62.3125 \n",
       "Q 48.875 64.0625 45.09375 64.984375 \n",
       "Q 41.3125 65.921875 37.59375 65.921875 \n",
       "Q 27.828125 65.921875 22.671875 59.328125 \n",
       "Q 17.53125 52.734375 16.796875 39.40625 \n",
       "Q 19.671875 43.65625 24.015625 45.921875 \n",
       "Q 28.375 48.1875 33.59375 48.1875 \n",
       "Q 44.578125 48.1875 50.953125 41.515625 \n",
       "Q 57.328125 34.859375 57.328125 23.390625 \n",
       "Q 57.328125 12.15625 50.6875 5.359375 \n",
       "Q 44.046875 -1.421875 33.015625 -1.421875 \n",
       "Q 20.359375 -1.421875 13.671875 8.265625 \n",
       "Q 6.984375 17.96875 6.984375 36.375 \n",
       "Q 6.984375 53.65625 15.1875 63.9375 \n",
       "Q 23.390625 74.21875 37.203125 74.21875 \n",
       "Q 40.921875 74.21875 44.703125 73.484375 \n",
       "Q 48.484375 72.75 52.59375 71.296875 \n",
       "z\n",
       "\" id=\"DejaVuSans-54\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(331.180804 242.738437)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-54\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_8\">\n",
       "     <g id=\"line2d_8\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"386.960938\" xlink:href=\"#m35a68c6d8c\" y=\"228.14\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_8\">\n",
       "      <!-- 0.7 -->\n",
       "      <defs>\n",
       "       <path d=\"M 8.203125 72.90625 \n",
       "L 55.078125 72.90625 \n",
       "L 55.078125 68.703125 \n",
       "L 28.609375 0 \n",
       "L 18.3125 0 \n",
       "L 43.21875 64.59375 \n",
       "L 8.203125 64.59375 \n",
       "z\n",
       "\" id=\"DejaVuSans-55\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(379.009375 242.738437)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-55\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"text_9\">\n",
       "     <!-- $\\Delta\\alpha$ -->\n",
       "     <defs>\n",
       "      <path d=\"M 34.1875 63.1875 \n",
       "L 14.15625 8.203125 \n",
       "L 54.25 8.203125 \n",
       "z\n",
       "M 0.78125 0 \n",
       "L 28.609375 72.90625 \n",
       "L 39.796875 72.90625 \n",
       "L 67.578125 0 \n",
       "z\n",
       "\" id=\"DejaVuSans-916\"/>\n",
       "      <path d=\"M 40.921875 25.4375 \n",
       "L 40.96875 36.71875 \n",
       "Q 41.015625 48.25 32.328125 48.296875 \n",
       "Q 25.828125 48.34375 21.78125 42.921875 \n",
       "Q 16.703125 36.234375 14.984375 27.296875 \n",
       "Q 12.890625 16.546875 15.53125 11.421875 \n",
       "Q 18.265625 6.203125 24.171875 6.203125 \n",
       "Q 30.71875 6.203125 36.234375 16.609375 \n",
       "z\n",
       "M 33.84375 55.90625 \n",
       "Q 49.078125 56.15625 48.875 40.375 \n",
       "Q 48.875 40.375 56.5 54.6875 \n",
       "L 64.5 54.6875 \n",
       "L 48.734375 25.046875 \n",
       "L 48.578125 14.359375 \n",
       "Q 48.578125 11.96875 49.90625 9.96875 \n",
       "Q 51.421875 7.625 52.984375 7.625 \n",
       "L 57.328125 7.625 \n",
       "L 55.859375 0 \n",
       "L 50.4375 0 \n",
       "Q 45.84375 0 42.53125 4.109375 \n",
       "Q 40.96875 6.15625 40.921875 10.453125 \n",
       "Q 37.75 5.21875 32.28125 0.78125 \n",
       "Q 29.6875 -1.265625 22.703125 -1.21875 \n",
       "Q 11.28125 -1.125 7.125 6.203125 \n",
       "Q 2.875 13.8125 5.515625 27.296875 \n",
       "Q 8.34375 41.796875 15.765625 48.390625 \n",
       "Q 24.125 55.765625 33.84375 55.90625 \n",
       "z\n",
       "\" id=\"DejaVuSans-Oblique-945\"/>\n",
       "     </defs>\n",
       "     <g transform=\"translate(212.810938 256.416562)scale(0.1 -0.1)\">\n",
       "      <use transform=\"translate(0 0.09375)\" xlink:href=\"#DejaVuSans-916\"/>\n",
       "      <use transform=\"translate(68.408203 0.09375)\" xlink:href=\"#DejaVuSans-Oblique-945\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_2\">\n",
       "    <g id=\"ytick_1\">\n",
       "     <g id=\"line2d_9\">\n",
       "      <defs>\n",
       "       <path d=\"M 0 0 \n",
       "L -3.5 0 \n",
       "\" id=\"m558c0ceea1\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"52.160938\" xlink:href=\"#m558c0ceea1\" y=\"215.108907\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_10\">\n",
       "      <!-- −0.8 -->\n",
       "      <defs>\n",
       "       <path d=\"M 10.59375 35.5 \n",
       "L 73.1875 35.5 \n",
       "L 73.1875 27.203125 \n",
       "L 10.59375 27.203125 \n",
       "z\n",
       "\" id=\"DejaVuSans-8722\"/>\n",
       "       <path d=\"M 31.78125 34.625 \n",
       "Q 24.75 34.625 20.71875 30.859375 \n",
       "Q 16.703125 27.09375 16.703125 20.515625 \n",
       "Q 16.703125 13.921875 20.71875 10.15625 \n",
       "Q 24.75 6.390625 31.78125 6.390625 \n",
       "Q 38.8125 6.390625 42.859375 10.171875 \n",
       "Q 46.921875 13.96875 46.921875 20.515625 \n",
       "Q 46.921875 27.09375 42.890625 30.859375 \n",
       "Q 38.875 34.625 31.78125 34.625 \n",
       "z\n",
       "M 21.921875 38.8125 \n",
       "Q 15.578125 40.375 12.03125 44.71875 \n",
       "Q 8.5 49.078125 8.5 55.328125 \n",
       "Q 8.5 64.0625 14.71875 69.140625 \n",
       "Q 20.953125 74.21875 31.78125 74.21875 \n",
       "Q 42.671875 74.21875 48.875 69.140625 \n",
       "Q 55.078125 64.0625 55.078125 55.328125 \n",
       "Q 55.078125 49.078125 51.53125 44.71875 \n",
       "Q 48 40.375 41.703125 38.8125 \n",
       "Q 48.828125 37.15625 52.796875 32.3125 \n",
       "Q 56.78125 27.484375 56.78125 20.515625 \n",
       "Q 56.78125 9.90625 50.3125 4.234375 \n",
       "Q 43.84375 -1.421875 31.78125 -1.421875 \n",
       "Q 19.734375 -1.421875 13.25 4.234375 \n",
       "Q 6.78125 9.90625 6.78125 20.515625 \n",
       "Q 6.78125 27.484375 10.78125 32.3125 \n",
       "Q 14.796875 37.15625 21.921875 38.8125 \n",
       "z\n",
       "M 18.3125 54.390625 \n",
       "Q 18.3125 48.734375 21.84375 45.5625 \n",
       "Q 25.390625 42.390625 31.78125 42.390625 \n",
       "Q 38.140625 42.390625 41.71875 45.5625 \n",
       "Q 45.3125 48.734375 45.3125 54.390625 \n",
       "Q 45.3125 60.0625 41.71875 63.234375 \n",
       "Q 38.140625 66.40625 31.78125 66.40625 \n",
       "Q 25.390625 66.40625 21.84375 63.234375 \n",
       "Q 18.3125 60.0625 18.3125 54.390625 \n",
       "z\n",
       "\" id=\"DejaVuSans-56\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(20.878125 218.908126)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-8722\"/>\n",
       "       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"147.412109\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"179.199219\" xlink:href=\"#DejaVuSans-56\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_2\">\n",
       "     <g id=\"line2d_10\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"52.160938\" xlink:href=\"#m558c0ceea1\" y=\"171.772395\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_11\">\n",
       "      <!-- −0.6 -->\n",
       "      <g transform=\"translate(20.878125 175.571613)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-8722\"/>\n",
       "       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"147.412109\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"179.199219\" xlink:href=\"#DejaVuSans-54\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_3\">\n",
       "     <g id=\"line2d_11\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"52.160938\" xlink:href=\"#m558c0ceea1\" y=\"128.435882\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_12\">\n",
       "      <!-- −0.4 -->\n",
       "      <g transform=\"translate(20.878125 132.235101)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-8722\"/>\n",
       "       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"147.412109\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"179.199219\" xlink:href=\"#DejaVuSans-52\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_4\">\n",
       "     <g id=\"line2d_12\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"52.160938\" xlink:href=\"#m558c0ceea1\" y=\"85.09937\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_13\">\n",
       "      <!-- −0.2 -->\n",
       "      <g transform=\"translate(20.878125 88.898588)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-8722\"/>\n",
       "       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"147.412109\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"179.199219\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_5\">\n",
       "     <g id=\"line2d_13\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"52.160938\" xlink:href=\"#m558c0ceea1\" y=\"41.762857\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_14\">\n",
       "      <!-- 0.0 -->\n",
       "      <g transform=\"translate(29.257812 45.562076)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"text_15\">\n",
       "     <!-- $\\Delta T_2$ ($^{\\circ}}$C) -->\n",
       "     <defs>\n",
       "      <path d=\"M 5.90625 72.90625 \n",
       "L 67.578125 72.90625 \n",
       "L 66.015625 64.59375 \n",
       "L 39.984375 64.59375 \n",
       "L 27.484375 0 \n",
       "L 17.578125 0 \n",
       "L 30.078125 64.59375 \n",
       "L 4.296875 64.59375 \n",
       "z\n",
       "\" id=\"DejaVuSans-Oblique-84\"/>\n",
       "      <path id=\"DejaVuSans-32\"/>\n",
       "      <path d=\"M 31 75.875 \n",
       "Q 24.46875 64.65625 21.28125 53.65625 \n",
       "Q 18.109375 42.671875 18.109375 31.390625 \n",
       "Q 18.109375 20.125 21.3125 9.0625 \n",
       "Q 24.515625 -2 31 -13.1875 \n",
       "L 23.1875 -13.1875 \n",
       "Q 15.875 -1.703125 12.234375 9.375 \n",
       "Q 8.59375 20.453125 8.59375 31.390625 \n",
       "Q 8.59375 42.28125 12.203125 53.3125 \n",
       "Q 15.828125 64.359375 23.1875 75.875 \n",
       "z\n",
       "\" id=\"DejaVuSans-40\"/>\n",
       "      <path d=\"M 31.25 40.921875 \n",
       "Q 27.34375 40.921875 24.65625 38.203125 \n",
       "Q 21.96875 35.5 21.96875 31.59375 \n",
       "Q 21.96875 27.734375 24.65625 25.078125 \n",
       "Q 27.34375 22.421875 31.25 22.421875 \n",
       "Q 35.15625 22.421875 37.84375 25.078125 \n",
       "Q 40.53125 27.734375 40.53125 31.59375 \n",
       "Q 40.53125 35.453125 37.8125 38.1875 \n",
       "Q 35.109375 40.921875 31.25 40.921875 \n",
       "z\n",
       "M 31.25 47.21875 \n",
       "Q 34.375 47.21875 37.25 46.015625 \n",
       "Q 40.140625 44.828125 42.234375 42.578125 \n",
       "Q 44.484375 40.390625 45.609375 37.59375 \n",
       "Q 46.734375 34.8125 46.734375 31.59375 \n",
       "Q 46.734375 25.15625 42.21875 20.6875 \n",
       "Q 37.703125 16.21875 31.15625 16.21875 \n",
       "Q 24.5625 16.21875 20.15625 20.609375 \n",
       "Q 15.765625 25 15.765625 31.59375 \n",
       "Q 15.765625 38.140625 20.25 42.671875 \n",
       "Q 24.75 47.21875 31.25 47.21875 \n",
       "z\n",
       "\" id=\"DejaVuSans-8728\"/>\n",
       "      <path d=\"M 64.40625 67.28125 \n",
       "L 64.40625 56.890625 \n",
       "Q 59.421875 61.53125 53.78125 63.8125 \n",
       "Q 48.140625 66.109375 41.796875 66.109375 \n",
       "Q 29.296875 66.109375 22.65625 58.46875 \n",
       "Q 16.015625 50.828125 16.015625 36.375 \n",
       "Q 16.015625 21.96875 22.65625 14.328125 \n",
       "Q 29.296875 6.6875 41.796875 6.6875 \n",
       "Q 48.140625 6.6875 53.78125 8.984375 \n",
       "Q 59.421875 11.28125 64.40625 15.921875 \n",
       "L 64.40625 5.609375 \n",
       "Q 59.234375 2.09375 53.4375 0.328125 \n",
       "Q 47.65625 -1.421875 41.21875 -1.421875 \n",
       "Q 24.65625 -1.421875 15.125 8.703125 \n",
       "Q 5.609375 18.84375 5.609375 36.375 \n",
       "Q 5.609375 53.953125 15.125 64.078125 \n",
       "Q 24.65625 74.21875 41.21875 74.21875 \n",
       "Q 47.75 74.21875 53.53125 72.484375 \n",
       "Q 59.328125 70.75 64.40625 67.28125 \n",
       "z\n",
       "\" id=\"DejaVuSans-67\"/>\n",
       "      <path d=\"M 8.015625 75.875 \n",
       "L 15.828125 75.875 \n",
       "Q 23.140625 64.359375 26.78125 53.3125 \n",
       "Q 30.421875 42.28125 30.421875 31.390625 \n",
       "Q 30.421875 20.453125 26.78125 9.375 \n",
       "Q 23.140625 -1.703125 15.828125 -13.1875 \n",
       "L 8.015625 -13.1875 \n",
       "Q 14.5 -2 17.703125 9.0625 \n",
       "Q 20.90625 20.125 20.90625 31.390625 \n",
       "Q 20.90625 42.671875 17.703125 53.65625 \n",
       "Q 14.5 64.65625 8.015625 75.875 \n",
       "z\n",
       "\" id=\"DejaVuSans-41\"/>\n",
       "     </defs>\n",
       "     <g transform=\"translate(14.798437 139.62)rotate(-90)scale(0.1 -0.1)\">\n",
       "      <use transform=\"translate(0 0.125)\" xlink:href=\"#DejaVuSans-916\"/>\n",
       "      <use transform=\"translate(68.408203 0.125)\" xlink:href=\"#DejaVuSans-Oblique-84\"/>\n",
       "      <use transform=\"translate(129.492188 -16.28125)scale(0.7)\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "      <use transform=\"translate(176.762695 0.125)\" xlink:href=\"#DejaVuSans-32\"/>\n",
       "      <use transform=\"translate(208.549805 0.125)\" xlink:href=\"#DejaVuSans-40\"/>\n",
       "      <use transform=\"translate(248.520508 38.40625)scale(0.7)\" xlink:href=\"#DejaVuSans-8728\"/>\n",
       "      <use transform=\"translate(295.073242 0.125)\" xlink:href=\"#DejaVuSans-67\"/>\n",
       "      <use transform=\"translate(364.897461 0.125)\" xlink:href=\"#DejaVuSans-41\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_14\">\n",
       "    <path clip-path=\"url(#p8a2f6a012e)\" d=\"M 52.160938 41.762857 \n",
       "L 66.509509 51.025142 \n",
       "L 80.85808 60.321461 \n",
       "L 95.206652 69.65245 \n",
       "L 109.555223 79.018765 \n",
       "L 123.903795 88.421087 \n",
       "L 138.252366 97.860115 \n",
       "L 152.600937 107.336577 \n",
       "L 166.949509 114.806663 \n",
       "L 181.29808 120.093477 \n",
       "L 195.646652 125.389952 \n",
       "L 209.995223 130.696165 \n",
       "L 229.126652 137.786399 \n",
       "L 243.475223 143.115637 \n",
       "L 257.823795 148.699181 \n",
       "L 272.172366 154.030523 \n",
       "L 286.520937 159.372683 \n",
       "L 300.869509 164.725741 \n",
       "L 315.21808 170.089773 \n",
       "L 329.566652 175.464856 \n",
       "L 343.915223 180.851064 \n",
       "L 358.263795 186.248469 \n",
       "L 372.612366 191.65714 \n",
       "L 386.960938 197.077143 \n",
       "\" style=\"fill:none;stroke:#1f77b4;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_15\">\n",
       "    <path clip-path=\"url(#p8a2f6a012e)\" d=\"M 52.160938 41.762857 \n",
       "L 66.509509 43.159402 \n",
       "L 80.85808 44.557337 \n",
       "L 95.206652 45.956174 \n",
       "L 109.555223 47.355992 \n",
       "L 123.903795 48.757097 \n",
       "L 138.252366 50.159519 \n",
       "L 152.600937 51.563374 \n",
       "L 166.949509 52.968683 \n",
       "L 181.29808 54.375224 \n",
       "L 195.646652 55.782489 \n",
       "L 209.995223 57.191863 \n",
       "L 229.126652 59.073034 \n",
       "L 243.475223 60.486003 \n",
       "L 257.823795 61.899986 \n",
       "L 272.172366 63.315671 \n",
       "L 286.520937 64.732531 \n",
       "L 300.869509 66.151288 \n",
       "L 315.21808 67.571412 \n",
       "L 329.566652 68.993009 \n",
       "L 343.915223 70.415928 \n",
       "L 358.263795 71.840113 \n",
       "L 372.612366 73.266227 \n",
       "L 386.960938 74.693487 \n",
       "\" style=\"fill:none;stroke:#ff7f0e;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_16\">\n",
       "    <path clip-path=\"url(#p8a2f6a012e)\" d=\"M 52.160938 41.762857 \n",
       "L 66.509509 41.871647 \n",
       "L 80.85808 41.980439 \n",
       "L 95.206652 42.089233 \n",
       "L 109.555223 42.198029 \n",
       "L 123.903795 42.306828 \n",
       "L 138.252366 42.415629 \n",
       "L 152.600937 42.524431 \n",
       "L 166.949509 42.633236 \n",
       "L 181.29808 42.742044 \n",
       "L 195.646652 42.850853 \n",
       "L 209.995223 42.959664 \n",
       "L 229.126652 43.104749 \n",
       "L 243.475223 43.213566 \n",
       "L 257.823795 43.322384 \n",
       "L 272.172366 43.431205 \n",
       "L 286.520937 43.540028 \n",
       "L 300.869509 43.648853 \n",
       "L 315.21808 43.75768 \n",
       "L 329.566652 43.866509 \n",
       "L 343.915223 43.97534 \n",
       "L 358.263795 44.084174 \n",
       "L 372.612366 44.193009 \n",
       "L 386.960938 44.301847 \n",
       "\" style=\"fill:none;stroke:#2ca02c;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_3\">\n",
       "    <path d=\"M 52.160938 228.14 \n",
       "L 52.160938 10.7 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_4\">\n",
       "    <path d=\"M 386.960938 228.14 \n",
       "L 386.960938 10.7 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_5\">\n",
       "    <path d=\"M 52.160938 228.14 \n",
       "L 386.960938 228.14 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_6\">\n",
       "    <path d=\"M 52.160938 10.7 \n",
       "L 386.960938 10.7 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n",
       "   </g>\n",
       "   <g id=\"legend_1\">\n",
       "    <g id=\"patch_7\">\n",
       "     <path d=\"M 59.160938 223.14 \n",
       "L 119.520313 223.14 \n",
       "Q 121.520313 223.14 121.520313 221.14 \n",
       "L 121.520313 178.105625 \n",
       "Q 121.520313 176.105625 119.520313 176.105625 \n",
       "L 59.160938 176.105625 \n",
       "Q 57.160938 176.105625 57.160938 178.105625 \n",
       "L 57.160938 221.14 \n",
       "Q 57.160938 223.14 59.160938 223.14 \n",
       "z\n",
       "\" style=\"fill:#ffffff;opacity:0.8;stroke:#cccccc;stroke-linejoin:miter;\"/>\n",
       "    </g>\n",
       "    <g id=\"line2d_17\">\n",
       "     <path d=\"M 61.160938 184.204062 \n",
       "L 81.160938 184.204062 \n",
       "\" style=\"fill:none;stroke:#1f77b4;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    </g>\n",
       "    <g id=\"line2d_18\"/>\n",
       "    <g id=\"text_16\">\n",
       "     <!-- max -->\n",
       "     <defs>\n",
       "      <path d=\"M 52 44.1875 \n",
       "Q 55.375 50.25 60.0625 53.125 \n",
       "Q 64.75 56 71.09375 56 \n",
       "Q 79.640625 56 84.28125 50.015625 \n",
       "Q 88.921875 44.046875 88.921875 33.015625 \n",
       "L 88.921875 0 \n",
       "L 79.890625 0 \n",
       "L 79.890625 32.71875 \n",
       "Q 79.890625 40.578125 77.09375 44.375 \n",
       "Q 74.3125 48.1875 68.609375 48.1875 \n",
       "Q 61.625 48.1875 57.5625 43.546875 \n",
       "Q 53.515625 38.921875 53.515625 30.90625 \n",
       "L 53.515625 0 \n",
       "L 44.484375 0 \n",
       "L 44.484375 32.71875 \n",
       "Q 44.484375 40.625 41.703125 44.40625 \n",
       "Q 38.921875 48.1875 33.109375 48.1875 \n",
       "Q 26.21875 48.1875 22.15625 43.53125 \n",
       "Q 18.109375 38.875 18.109375 30.90625 \n",
       "L 18.109375 0 \n",
       "L 9.078125 0 \n",
       "L 9.078125 54.6875 \n",
       "L 18.109375 54.6875 \n",
       "L 18.109375 46.1875 \n",
       "Q 21.1875 51.21875 25.484375 53.609375 \n",
       "Q 29.78125 56 35.6875 56 \n",
       "Q 41.65625 56 45.828125 52.96875 \n",
       "Q 50 49.953125 52 44.1875 \n",
       "z\n",
       "\" id=\"DejaVuSans-109\"/>\n",
       "      <path d=\"M 34.28125 27.484375 \n",
       "Q 23.390625 27.484375 19.1875 25 \n",
       "Q 14.984375 22.515625 14.984375 16.5 \n",
       "Q 14.984375 11.71875 18.140625 8.90625 \n",
       "Q 21.296875 6.109375 26.703125 6.109375 \n",
       "Q 34.1875 6.109375 38.703125 11.40625 \n",
       "Q 43.21875 16.703125 43.21875 25.484375 \n",
       "L 43.21875 27.484375 \n",
       "z\n",
       "M 52.203125 31.203125 \n",
       "L 52.203125 0 \n",
       "L 43.21875 0 \n",
       "L 43.21875 8.296875 \n",
       "Q 40.140625 3.328125 35.546875 0.953125 \n",
       "Q 30.953125 -1.421875 24.3125 -1.421875 \n",
       "Q 15.921875 -1.421875 10.953125 3.296875 \n",
       "Q 6 8.015625 6 15.921875 \n",
       "Q 6 25.140625 12.171875 29.828125 \n",
       "Q 18.359375 34.515625 30.609375 34.515625 \n",
       "L 43.21875 34.515625 \n",
       "L 43.21875 35.40625 \n",
       "Q 43.21875 41.609375 39.140625 45 \n",
       "Q 35.0625 48.390625 27.6875 48.390625 \n",
       "Q 23 48.390625 18.546875 47.265625 \n",
       "Q 14.109375 46.140625 10.015625 43.890625 \n",
       "L 10.015625 52.203125 \n",
       "Q 14.9375 54.109375 19.578125 55.046875 \n",
       "Q 24.21875 56 28.609375 56 \n",
       "Q 40.484375 56 46.34375 49.84375 \n",
       "Q 52.203125 43.703125 52.203125 31.203125 \n",
       "z\n",
       "\" id=\"DejaVuSans-97\"/>\n",
       "      <path d=\"M 54.890625 54.6875 \n",
       "L 35.109375 28.078125 \n",
       "L 55.90625 0 \n",
       "L 45.3125 0 \n",
       "L 29.390625 21.484375 \n",
       "L 13.484375 0 \n",
       "L 2.875 0 \n",
       "L 24.125 28.609375 \n",
       "L 4.6875 54.6875 \n",
       "L 15.28125 54.6875 \n",
       "L 29.78125 35.203125 \n",
       "L 44.28125 54.6875 \n",
       "z\n",
       "\" id=\"DejaVuSans-120\"/>\n",
       "     </defs>\n",
       "     <g transform=\"translate(89.160938 187.704062)scale(0.1 -0.1)\">\n",
       "      <use xlink:href=\"#DejaVuSans-109\"/>\n",
       "      <use x=\"97.412109\" xlink:href=\"#DejaVuSans-97\"/>\n",
       "      <use x=\"158.691406\" xlink:href=\"#DejaVuSans-120\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"line2d_19\">\n",
       "     <path d=\"M 61.160938 198.882187 \n",
       "L 81.160938 198.882187 \n",
       "\" style=\"fill:none;stroke:#ff7f0e;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    </g>\n",
       "    <g id=\"line2d_20\"/>\n",
       "    <g id=\"text_17\">\n",
       "     <!-- mean -->\n",
       "     <defs>\n",
       "      <path d=\"M 56.203125 29.59375 \n",
       "L 56.203125 25.203125 \n",
       "L 14.890625 25.203125 \n",
       "Q 15.484375 15.921875 20.484375 11.0625 \n",
       "Q 25.484375 6.203125 34.421875 6.203125 \n",
       "Q 39.59375 6.203125 44.453125 7.46875 \n",
       "Q 49.3125 8.734375 54.109375 11.28125 \n",
       "L 54.109375 2.78125 \n",
       "Q 49.265625 0.734375 44.1875 -0.34375 \n",
       "Q 39.109375 -1.421875 33.890625 -1.421875 \n",
       "Q 20.796875 -1.421875 13.15625 6.1875 \n",
       "Q 5.515625 13.8125 5.515625 26.8125 \n",
       "Q 5.515625 40.234375 12.765625 48.109375 \n",
       "Q 20.015625 56 32.328125 56 \n",
       "Q 43.359375 56 49.78125 48.890625 \n",
       "Q 56.203125 41.796875 56.203125 29.59375 \n",
       "z\n",
       "M 47.21875 32.234375 \n",
       "Q 47.125 39.59375 43.09375 43.984375 \n",
       "Q 39.0625 48.390625 32.421875 48.390625 \n",
       "Q 24.90625 48.390625 20.390625 44.140625 \n",
       "Q 15.875 39.890625 15.1875 32.171875 \n",
       "z\n",
       "\" id=\"DejaVuSans-101\"/>\n",
       "      <path d=\"M 54.890625 33.015625 \n",
       "L 54.890625 0 \n",
       "L 45.90625 0 \n",
       "L 45.90625 32.71875 \n",
       "Q 45.90625 40.484375 42.875 44.328125 \n",
       "Q 39.84375 48.1875 33.796875 48.1875 \n",
       "Q 26.515625 48.1875 22.3125 43.546875 \n",
       "Q 18.109375 38.921875 18.109375 30.90625 \n",
       "L 18.109375 0 \n",
       "L 9.078125 0 \n",
       "L 9.078125 54.6875 \n",
       "L 18.109375 54.6875 \n",
       "L 18.109375 46.1875 \n",
       "Q 21.34375 51.125 25.703125 53.5625 \n",
       "Q 30.078125 56 35.796875 56 \n",
       "Q 45.21875 56 50.046875 50.171875 \n",
       "Q 54.890625 44.34375 54.890625 33.015625 \n",
       "z\n",
       "\" id=\"DejaVuSans-110\"/>\n",
       "     </defs>\n",
       "     <g transform=\"translate(89.160938 202.382187)scale(0.1 -0.1)\">\n",
       "      <use xlink:href=\"#DejaVuSans-109\"/>\n",
       "      <use x=\"97.412109\" xlink:href=\"#DejaVuSans-101\"/>\n",
       "      <use x=\"158.935547\" xlink:href=\"#DejaVuSans-97\"/>\n",
       "      <use x=\"220.214844\" xlink:href=\"#DejaVuSans-110\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"line2d_21\">\n",
       "     <path d=\"M 61.160938 213.560312 \n",
       "L 81.160938 213.560312 \n",
       "\" style=\"fill:none;stroke:#2ca02c;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    </g>\n",
       "    <g id=\"line2d_22\"/>\n",
       "    <g id=\"text_18\">\n",
       "     <!-- min -->\n",
       "     <defs>\n",
       "      <path d=\"M 9.421875 54.6875 \n",
       "L 18.40625 54.6875 \n",
       "L 18.40625 0 \n",
       "L 9.421875 0 \n",
       "z\n",
       "M 9.421875 75.984375 \n",
       "L 18.40625 75.984375 \n",
       "L 18.40625 64.59375 \n",
       "L 9.421875 64.59375 \n",
       "z\n",
       "\" id=\"DejaVuSans-105\"/>\n",
       "     </defs>\n",
       "     <g transform=\"translate(89.160938 217.060312)scale(0.1 -0.1)\">\n",
       "      <use xlink:href=\"#DejaVuSans-109\"/>\n",
       "      <use x=\"97.412109\" xlink:href=\"#DejaVuSans-105\"/>\n",
       "      <use x=\"125.195312\" xlink:href=\"#DejaVuSans-110\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "  </g>\n",
       " </g>\n",
       " <defs>\n",
       "  <clipPath id=\"p8a2f6a012e\">\n",
       "   <rect height=\"217.44\" width=\"334.8\" x=\"52.160938\" y=\"10.7\"/>\n",
       "  </clipPath>\n",
       " </defs>\n",
       "</svg>\n"
      ],
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ax_temp_diff = df_res_alb_T2_diff.loc[['max', 'mean', 'min']].T.plot()\n",
    "ax_temp_diff.set_ylabel('$\\Delta T_2$ ($^{\\circ}}$C)')\n",
    "ax_temp_diff.set_xlabel(r'$\\Delta\\alpha$')\n",
    "ax_temp_diff.margins(x=0.2, y=0.2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Background climate: air temperature"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Examine the monthly climatology of air temperature loaded from the sample dataset"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-02-16T23:45:39.963003Z",
     "start_time": "2019-02-16T23:45:39.615422Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x12b4604e0>"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/svg+xml": [
       "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n",
       "<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n",
       "  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n",
       "<!-- Created with matplotlib (https://matplotlib.org/) -->\n",
       "<svg height=\"276.693125pt\" version=\"1.1\" viewBox=\"0 0 397.165625 276.693125\" width=\"397.165625pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
       " <defs>\n",
       "  <style type=\"text/css\">\n",
       "*{stroke-linecap:butt;stroke-linejoin:round;}\n",
       "  </style>\n",
       " </defs>\n",
       " <g id=\"figure_1\">\n",
       "  <g id=\"patch_1\">\n",
       "   <path d=\"M 0 276.693125 \n",
       "L 397.165625 276.693125 \n",
       "L 397.165625 0 \n",
       "L 0 0 \n",
       "z\n",
       "\" style=\"fill:none;\"/>\n",
       "  </g>\n",
       "  <g id=\"axes_1\">\n",
       "   <g id=\"patch_2\">\n",
       "    <path d=\"M 51.665625 228.14 \n",
       "L 386.465625 228.14 \n",
       "L 386.465625 10.7 \n",
       "L 51.665625 10.7 \n",
       "z\n",
       "\" style=\"fill:#ffffff;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_3\">\n",
       "    <path clip-path=\"url(#p7f729eee46)\" d=\"M 58.640625 228.14 \n",
       "L 72.590625 228.14 \n",
       "L 72.590625 158.668969 \n",
       "L 58.640625 158.668969 \n",
       "z\n",
       "\" style=\"fill:#1f77b4;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_4\">\n",
       "    <path clip-path=\"url(#p7f729eee46)\" d=\"M 86.540625 228.14 \n",
       "L 100.490625 228.14 \n",
       "L 100.490625 188.808548 \n",
       "L 86.540625 188.808548 \n",
       "z\n",
       "\" style=\"fill:#1f77b4;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_5\">\n",
       "    <path clip-path=\"url(#p7f729eee46)\" d=\"M 114.440625 228.14 \n",
       "L 128.390625 228.14 \n",
       "L 128.390625 134.480678 \n",
       "L 114.440625 134.480678 \n",
       "z\n",
       "\" style=\"fill:#1f77b4;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_6\">\n",
       "    <path clip-path=\"url(#p7f729eee46)\" d=\"M 142.340625 228.14 \n",
       "L 156.290625 228.14 \n",
       "L 156.290625 126.462474 \n",
       "L 142.340625 126.462474 \n",
       "z\n",
       "\" style=\"fill:#1f77b4;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_7\">\n",
       "    <path clip-path=\"url(#p7f729eee46)\" d=\"M 170.240625 228.14 \n",
       "L 184.190625 228.14 \n",
       "L 184.190625 75.235618 \n",
       "L 170.240625 75.235618 \n",
       "z\n",
       "\" style=\"fill:#1f77b4;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_8\">\n",
       "    <path clip-path=\"url(#p7f729eee46)\" d=\"M 198.140625 228.14 \n",
       "L 212.090625 228.14 \n",
       "L 212.090625 61.076758 \n",
       "L 198.140625 61.076758 \n",
       "z\n",
       "\" style=\"fill:#1f77b4;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_9\">\n",
       "    <path clip-path=\"url(#p7f729eee46)\" d=\"M 226.040625 228.14 \n",
       "L 239.990625 228.14 \n",
       "L 239.990625 38.712513 \n",
       "L 226.040625 38.712513 \n",
       "z\n",
       "\" style=\"fill:#1f77b4;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_10\">\n",
       "    <path clip-path=\"url(#p7f729eee46)\" d=\"M 253.940625 228.14 \n",
       "L 267.890625 228.14 \n",
       "L 267.890625 21.054286 \n",
       "L 253.940625 21.054286 \n",
       "z\n",
       "\" style=\"fill:#1f77b4;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_11\">\n",
       "    <path clip-path=\"url(#p7f729eee46)\" d=\"M 281.840625 228.14 \n",
       "L 295.790625 228.14 \n",
       "L 295.790625 59.391723 \n",
       "L 281.840625 59.391723 \n",
       "z\n",
       "\" style=\"fill:#1f77b4;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_12\">\n",
       "    <path clip-path=\"url(#p7f729eee46)\" d=\"M 309.740625 228.14 \n",
       "L 323.690625 228.14 \n",
       "L 323.690625 100.781617 \n",
       "L 309.740625 100.781617 \n",
       "z\n",
       "\" style=\"fill:#1f77b4;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_13\">\n",
       "    <path clip-path=\"url(#p7f729eee46)\" d=\"M 337.640625 228.14 \n",
       "L 351.590625 228.14 \n",
       "L 351.590625 132.503881 \n",
       "L 337.640625 132.503881 \n",
       "z\n",
       "\" style=\"fill:#1f77b4;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_14\">\n",
       "    <path clip-path=\"url(#p7f729eee46)\" d=\"M 365.540625 228.14 \n",
       "L 379.490625 228.14 \n",
       "L 379.490625 152.821531 \n",
       "L 365.540625 152.821531 \n",
       "z\n",
       "\" style=\"fill:#1f77b4;\"/>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_1\">\n",
       "    <g id=\"xtick_1\">\n",
       "     <g id=\"line2d_1\">\n",
       "      <defs>\n",
       "       <path d=\"M 0 0 \n",
       "L 0 3.5 \n",
       "\" id=\"m359fa36b7a\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"65.615625\" xlink:href=\"#m359fa36b7a\" y=\"228.14\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_1\">\n",
       "      <!-- Jan -->\n",
       "      <defs>\n",
       "       <path d=\"M 9.8125 72.90625 \n",
       "L 19.671875 72.90625 \n",
       "L 19.671875 5.078125 \n",
       "Q 19.671875 -8.109375 14.671875 -14.0625 \n",
       "Q 9.671875 -20.015625 -1.421875 -20.015625 \n",
       "L -5.171875 -20.015625 \n",
       "L -5.171875 -11.71875 \n",
       "L -2.09375 -11.71875 \n",
       "Q 4.4375 -11.71875 7.125 -8.046875 \n",
       "Q 9.8125 -4.390625 9.8125 5.078125 \n",
       "z\n",
       "\" id=\"DejaVuSans-74\"/>\n",
       "       <path d=\"M 34.28125 27.484375 \n",
       "Q 23.390625 27.484375 19.1875 25 \n",
       "Q 14.984375 22.515625 14.984375 16.5 \n",
       "Q 14.984375 11.71875 18.140625 8.90625 \n",
       "Q 21.296875 6.109375 26.703125 6.109375 \n",
       "Q 34.1875 6.109375 38.703125 11.40625 \n",
       "Q 43.21875 16.703125 43.21875 25.484375 \n",
       "L 43.21875 27.484375 \n",
       "z\n",
       "M 52.203125 31.203125 \n",
       "L 52.203125 0 \n",
       "L 43.21875 0 \n",
       "L 43.21875 8.296875 \n",
       "Q 40.140625 3.328125 35.546875 0.953125 \n",
       "Q 30.953125 -1.421875 24.3125 -1.421875 \n",
       "Q 15.921875 -1.421875 10.953125 3.296875 \n",
       "Q 6 8.015625 6 15.921875 \n",
       "Q 6 25.140625 12.171875 29.828125 \n",
       "Q 18.359375 34.515625 30.609375 34.515625 \n",
       "L 43.21875 34.515625 \n",
       "L 43.21875 35.40625 \n",
       "Q 43.21875 41.609375 39.140625 45 \n",
       "Q 35.0625 48.390625 27.6875 48.390625 \n",
       "Q 23 48.390625 18.546875 47.265625 \n",
       "Q 14.109375 46.140625 10.015625 43.890625 \n",
       "L 10.015625 52.203125 \n",
       "Q 14.9375 54.109375 19.578125 55.046875 \n",
       "Q 24.21875 56 28.609375 56 \n",
       "Q 40.484375 56 46.34375 49.84375 \n",
       "Q 52.203125 43.703125 52.203125 31.203125 \n",
       "z\n",
       "\" id=\"DejaVuSans-97\"/>\n",
       "       <path d=\"M 54.890625 33.015625 \n",
       "L 54.890625 0 \n",
       "L 45.90625 0 \n",
       "L 45.90625 32.71875 \n",
       "Q 45.90625 40.484375 42.875 44.328125 \n",
       "Q 39.84375 48.1875 33.796875 48.1875 \n",
       "Q 26.515625 48.1875 22.3125 43.546875 \n",
       "Q 18.109375 38.921875 18.109375 30.90625 \n",
       "L 18.109375 0 \n",
       "L 9.078125 0 \n",
       "L 9.078125 54.6875 \n",
       "L 18.109375 54.6875 \n",
       "L 18.109375 46.1875 \n",
       "Q 21.34375 51.125 25.703125 53.5625 \n",
       "Q 30.078125 56 35.796875 56 \n",
       "Q 45.21875 56 50.046875 50.171875 \n",
       "Q 54.890625 44.34375 54.890625 33.015625 \n",
       "z\n",
       "\" id=\"DejaVuSans-110\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(68.375 250.555625)rotate(-90)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-74\"/>\n",
       "       <use x=\"29.492188\" xlink:href=\"#DejaVuSans-97\"/>\n",
       "       <use x=\"90.771484\" xlink:href=\"#DejaVuSans-110\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_2\">\n",
       "     <g id=\"line2d_2\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"93.515625\" xlink:href=\"#m359fa36b7a\" y=\"228.14\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_2\">\n",
       "      <!-- Feb -->\n",
       "      <defs>\n",
       "       <path d=\"M 9.8125 72.90625 \n",
       "L 51.703125 72.90625 \n",
       "L 51.703125 64.59375 \n",
       "L 19.671875 64.59375 \n",
       "L 19.671875 43.109375 \n",
       "L 48.578125 43.109375 \n",
       "L 48.578125 34.8125 \n",
       "L 19.671875 34.8125 \n",
       "L 19.671875 0 \n",
       "L 9.8125 0 \n",
       "z\n",
       "\" id=\"DejaVuSans-70\"/>\n",
       "       <path d=\"M 56.203125 29.59375 \n",
       "L 56.203125 25.203125 \n",
       "L 14.890625 25.203125 \n",
       "Q 15.484375 15.921875 20.484375 11.0625 \n",
       "Q 25.484375 6.203125 34.421875 6.203125 \n",
       "Q 39.59375 6.203125 44.453125 7.46875 \n",
       "Q 49.3125 8.734375 54.109375 11.28125 \n",
       "L 54.109375 2.78125 \n",
       "Q 49.265625 0.734375 44.1875 -0.34375 \n",
       "Q 39.109375 -1.421875 33.890625 -1.421875 \n",
       "Q 20.796875 -1.421875 13.15625 6.1875 \n",
       "Q 5.515625 13.8125 5.515625 26.8125 \n",
       "Q 5.515625 40.234375 12.765625 48.109375 \n",
       "Q 20.015625 56 32.328125 56 \n",
       "Q 43.359375 56 49.78125 48.890625 \n",
       "Q 56.203125 41.796875 56.203125 29.59375 \n",
       "z\n",
       "M 47.21875 32.234375 \n",
       "Q 47.125 39.59375 43.09375 43.984375 \n",
       "Q 39.0625 48.390625 32.421875 48.390625 \n",
       "Q 24.90625 48.390625 20.390625 44.140625 \n",
       "Q 15.875 39.890625 15.1875 32.171875 \n",
       "z\n",
       "\" id=\"DejaVuSans-101\"/>\n",
       "       <path d=\"M 48.6875 27.296875 \n",
       "Q 48.6875 37.203125 44.609375 42.84375 \n",
       "Q 40.53125 48.484375 33.40625 48.484375 \n",
       "Q 26.265625 48.484375 22.1875 42.84375 \n",
       "Q 18.109375 37.203125 18.109375 27.296875 \n",
       "Q 18.109375 17.390625 22.1875 11.75 \n",
       "Q 26.265625 6.109375 33.40625 6.109375 \n",
       "Q 40.53125 6.109375 44.609375 11.75 \n",
       "Q 48.6875 17.390625 48.6875 27.296875 \n",
       "z\n",
       "M 18.109375 46.390625 \n",
       "Q 20.953125 51.265625 25.265625 53.625 \n",
       "Q 29.59375 56 35.59375 56 \n",
       "Q 45.5625 56 51.78125 48.09375 \n",
       "Q 58.015625 40.1875 58.015625 27.296875 \n",
       "Q 58.015625 14.40625 51.78125 6.484375 \n",
       "Q 45.5625 -1.421875 35.59375 -1.421875 \n",
       "Q 29.59375 -1.421875 25.265625 0.953125 \n",
       "Q 20.953125 3.328125 18.109375 8.203125 \n",
       "L 18.109375 0 \n",
       "L 9.078125 0 \n",
       "L 9.078125 75.984375 \n",
       "L 18.109375 75.984375 \n",
       "z\n",
       "\" id=\"DejaVuSans-98\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(96.275 253.385312)rotate(-90)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-70\"/>\n",
       "       <use x=\"57.441406\" xlink:href=\"#DejaVuSans-101\"/>\n",
       "       <use x=\"118.964844\" xlink:href=\"#DejaVuSans-98\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_3\">\n",
       "     <g id=\"line2d_3\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"121.415625\" xlink:href=\"#m359fa36b7a\" y=\"228.14\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_3\">\n",
       "      <!-- Mar -->\n",
       "      <defs>\n",
       "       <path d=\"M 9.8125 72.90625 \n",
       "L 24.515625 72.90625 \n",
       "L 43.109375 23.296875 \n",
       "L 61.8125 72.90625 \n",
       "L 76.515625 72.90625 \n",
       "L 76.515625 0 \n",
       "L 66.890625 0 \n",
       "L 66.890625 64.015625 \n",
       "L 48.09375 14.015625 \n",
       "L 38.1875 14.015625 \n",
       "L 19.390625 64.015625 \n",
       "L 19.390625 0 \n",
       "L 9.8125 0 \n",
       "z\n",
       "\" id=\"DejaVuSans-77\"/>\n",
       "       <path d=\"M 41.109375 46.296875 \n",
       "Q 39.59375 47.171875 37.8125 47.578125 \n",
       "Q 36.03125 48 33.890625 48 \n",
       "Q 26.265625 48 22.1875 43.046875 \n",
       "Q 18.109375 38.09375 18.109375 28.8125 \n",
       "L 18.109375 0 \n",
       "L 9.078125 0 \n",
       "L 9.078125 54.6875 \n",
       "L 18.109375 54.6875 \n",
       "L 18.109375 46.1875 \n",
       "Q 20.953125 51.171875 25.484375 53.578125 \n",
       "Q 30.03125 56 36.53125 56 \n",
       "Q 37.453125 56 38.578125 55.875 \n",
       "Q 39.703125 55.765625 41.0625 55.515625 \n",
       "z\n",
       "\" id=\"DejaVuSans-114\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(124.175 254.007187)rotate(-90)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-77\"/>\n",
       "       <use x=\"86.279297\" xlink:href=\"#DejaVuSans-97\"/>\n",
       "       <use x=\"147.558594\" xlink:href=\"#DejaVuSans-114\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_4\">\n",
       "     <g id=\"line2d_4\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"149.315625\" xlink:href=\"#m359fa36b7a\" y=\"228.14\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_4\">\n",
       "      <!-- Apr -->\n",
       "      <defs>\n",
       "       <path d=\"M 34.1875 63.1875 \n",
       "L 20.796875 26.90625 \n",
       "L 47.609375 26.90625 \n",
       "z\n",
       "M 28.609375 72.90625 \n",
       "L 39.796875 72.90625 \n",
       "L 67.578125 0 \n",
       "L 57.328125 0 \n",
       "L 50.6875 18.703125 \n",
       "L 17.828125 18.703125 \n",
       "L 11.1875 0 \n",
       "L 0.78125 0 \n",
       "z\n",
       "\" id=\"DejaVuSans-65\"/>\n",
       "       <path d=\"M 18.109375 8.203125 \n",
       "L 18.109375 -20.796875 \n",
       "L 9.078125 -20.796875 \n",
       "L 9.078125 54.6875 \n",
       "L 18.109375 54.6875 \n",
       "L 18.109375 46.390625 \n",
       "Q 20.953125 51.265625 25.265625 53.625 \n",
       "Q 29.59375 56 35.59375 56 \n",
       "Q 45.5625 56 51.78125 48.09375 \n",
       "Q 58.015625 40.1875 58.015625 27.296875 \n",
       "Q 58.015625 14.40625 51.78125 6.484375 \n",
       "Q 45.5625 -1.421875 35.59375 -1.421875 \n",
       "Q 29.59375 -1.421875 25.265625 0.953125 \n",
       "Q 20.953125 3.328125 18.109375 8.203125 \n",
       "z\n",
       "M 48.6875 27.296875 \n",
       "Q 48.6875 37.203125 44.609375 42.84375 \n",
       "Q 40.53125 48.484375 33.40625 48.484375 \n",
       "Q 26.265625 48.484375 22.1875 42.84375 \n",
       "Q 18.109375 37.203125 18.109375 27.296875 \n",
       "Q 18.109375 17.390625 22.1875 11.75 \n",
       "Q 26.265625 6.109375 33.40625 6.109375 \n",
       "Q 40.53125 6.109375 44.609375 11.75 \n",
       "Q 48.6875 17.390625 48.6875 27.296875 \n",
       "z\n",
       "\" id=\"DejaVuSans-112\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(152.075 252.44)rotate(-90)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-65\"/>\n",
       "       <use x=\"68.408203\" xlink:href=\"#DejaVuSans-112\"/>\n",
       "       <use x=\"131.884766\" xlink:href=\"#DejaVuSans-114\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_5\">\n",
       "     <g id=\"line2d_5\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"177.215625\" xlink:href=\"#m359fa36b7a\" y=\"228.14\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_5\">\n",
       "      <!-- May -->\n",
       "      <defs>\n",
       "       <path d=\"M 32.171875 -5.078125 \n",
       "Q 28.375 -14.84375 24.75 -17.8125 \n",
       "Q 21.140625 -20.796875 15.09375 -20.796875 \n",
       "L 7.90625 -20.796875 \n",
       "L 7.90625 -13.28125 \n",
       "L 13.1875 -13.28125 \n",
       "Q 16.890625 -13.28125 18.9375 -11.515625 \n",
       "Q 21 -9.765625 23.484375 -3.21875 \n",
       "L 25.09375 0.875 \n",
       "L 2.984375 54.6875 \n",
       "L 12.5 54.6875 \n",
       "L 29.59375 11.921875 \n",
       "L 46.6875 54.6875 \n",
       "L 56.203125 54.6875 \n",
       "z\n",
       "\" id=\"DejaVuSans-121\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(179.975 255.815)rotate(-90)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-77\"/>\n",
       "       <use x=\"86.279297\" xlink:href=\"#DejaVuSans-97\"/>\n",
       "       <use x=\"147.558594\" xlink:href=\"#DejaVuSans-121\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_6\">\n",
       "     <g id=\"line2d_6\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"205.115625\" xlink:href=\"#m359fa36b7a\" y=\"228.14\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_6\">\n",
       "      <!-- Jun -->\n",
       "      <defs>\n",
       "       <path d=\"M 8.5 21.578125 \n",
       "L 8.5 54.6875 \n",
       "L 17.484375 54.6875 \n",
       "L 17.484375 21.921875 \n",
       "Q 17.484375 14.15625 20.5 10.265625 \n",
       "Q 23.53125 6.390625 29.59375 6.390625 \n",
       "Q 36.859375 6.390625 41.078125 11.03125 \n",
       "Q 45.3125 15.671875 45.3125 23.6875 \n",
       "L 45.3125 54.6875 \n",
       "L 54.296875 54.6875 \n",
       "L 54.296875 0 \n",
       "L 45.3125 0 \n",
       "L 45.3125 8.40625 \n",
       "Q 42.046875 3.421875 37.71875 1 \n",
       "Q 33.40625 -1.421875 27.6875 -1.421875 \n",
       "Q 18.265625 -1.421875 13.375 4.4375 \n",
       "Q 8.5 10.296875 8.5 21.578125 \n",
       "z\n",
       "M 31.109375 56 \n",
       "z\n",
       "\" id=\"DejaVuSans-117\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(207.875 250.765)rotate(-90)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-74\"/>\n",
       "       <use x=\"29.492188\" xlink:href=\"#DejaVuSans-117\"/>\n",
       "       <use x=\"92.871094\" xlink:href=\"#DejaVuSans-110\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_7\">\n",
       "     <g id=\"line2d_7\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"233.015625\" xlink:href=\"#m359fa36b7a\" y=\"228.14\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_7\">\n",
       "      <!-- Jul -->\n",
       "      <defs>\n",
       "       <path d=\"M 9.421875 75.984375 \n",
       "L 18.40625 75.984375 \n",
       "L 18.40625 0 \n",
       "L 9.421875 0 \n",
       "z\n",
       "\" id=\"DejaVuSans-108\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(235.775 247.205625)rotate(-90)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-74\"/>\n",
       "       <use x=\"29.492188\" xlink:href=\"#DejaVuSans-117\"/>\n",
       "       <use x=\"92.871094\" xlink:href=\"#DejaVuSans-108\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_8\">\n",
       "     <g id=\"line2d_8\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"260.915625\" xlink:href=\"#m359fa36b7a\" y=\"228.14\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_8\">\n",
       "      <!-- Aug -->\n",
       "      <defs>\n",
       "       <path d=\"M 45.40625 27.984375 \n",
       "Q 45.40625 37.75 41.375 43.109375 \n",
       "Q 37.359375 48.484375 30.078125 48.484375 \n",
       "Q 22.859375 48.484375 18.828125 43.109375 \n",
       "Q 14.796875 37.75 14.796875 27.984375 \n",
       "Q 14.796875 18.265625 18.828125 12.890625 \n",
       "Q 22.859375 7.515625 30.078125 7.515625 \n",
       "Q 37.359375 7.515625 41.375 12.890625 \n",
       "Q 45.40625 18.265625 45.40625 27.984375 \n",
       "z\n",
       "M 54.390625 6.78125 \n",
       "Q 54.390625 -7.171875 48.1875 -13.984375 \n",
       "Q 42 -20.796875 29.203125 -20.796875 \n",
       "Q 24.46875 -20.796875 20.265625 -20.09375 \n",
       "Q 16.0625 -19.390625 12.109375 -17.921875 \n",
       "L 12.109375 -9.1875 \n",
       "Q 16.0625 -11.328125 19.921875 -12.34375 \n",
       "Q 23.78125 -13.375 27.78125 -13.375 \n",
       "Q 36.625 -13.375 41.015625 -8.765625 \n",
       "Q 45.40625 -4.15625 45.40625 5.171875 \n",
       "L 45.40625 9.625 \n",
       "Q 42.625 4.78125 38.28125 2.390625 \n",
       "Q 33.9375 0 27.875 0 \n",
       "Q 17.828125 0 11.671875 7.65625 \n",
       "Q 5.515625 15.328125 5.515625 27.984375 \n",
       "Q 5.515625 40.671875 11.671875 48.328125 \n",
       "Q 17.828125 56 27.875 56 \n",
       "Q 33.9375 56 38.28125 53.609375 \n",
       "Q 42.625 51.21875 45.40625 46.390625 \n",
       "L 45.40625 54.6875 \n",
       "L 54.390625 54.6875 \n",
       "z\n",
       "\" id=\"DejaVuSans-103\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(263.675 254.666562)rotate(-90)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-65\"/>\n",
       "       <use x=\"68.408203\" xlink:href=\"#DejaVuSans-117\"/>\n",
       "       <use x=\"131.787109\" xlink:href=\"#DejaVuSans-103\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_9\">\n",
       "     <g id=\"line2d_9\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"288.815625\" xlink:href=\"#m359fa36b7a\" y=\"228.14\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_9\">\n",
       "      <!-- Sep -->\n",
       "      <defs>\n",
       "       <path d=\"M 53.515625 70.515625 \n",
       "L 53.515625 60.890625 \n",
       "Q 47.90625 63.578125 42.921875 64.890625 \n",
       "Q 37.9375 66.21875 33.296875 66.21875 \n",
       "Q 25.25 66.21875 20.875 63.09375 \n",
       "Q 16.5 59.96875 16.5 54.203125 \n",
       "Q 16.5 49.359375 19.40625 46.890625 \n",
       "Q 22.3125 44.4375 30.421875 42.921875 \n",
       "L 36.375 41.703125 \n",
       "Q 47.40625 39.59375 52.65625 34.296875 \n",
       "Q 57.90625 29 57.90625 20.125 \n",
       "Q 57.90625 9.515625 50.796875 4.046875 \n",
       "Q 43.703125 -1.421875 29.984375 -1.421875 \n",
       "Q 24.8125 -1.421875 18.96875 -0.25 \n",
       "Q 13.140625 0.921875 6.890625 3.21875 \n",
       "L 6.890625 13.375 \n",
       "Q 12.890625 10.015625 18.65625 8.296875 \n",
       "Q 24.421875 6.59375 29.984375 6.59375 \n",
       "Q 38.421875 6.59375 43.015625 9.90625 \n",
       "Q 47.609375 13.234375 47.609375 19.390625 \n",
       "Q 47.609375 24.75 44.3125 27.78125 \n",
       "Q 41.015625 30.8125 33.5 32.328125 \n",
       "L 27.484375 33.5 \n",
       "Q 16.453125 35.6875 11.515625 40.375 \n",
       "Q 6.59375 45.0625 6.59375 53.421875 \n",
       "Q 6.59375 63.09375 13.40625 68.65625 \n",
       "Q 20.21875 74.21875 32.171875 74.21875 \n",
       "Q 37.3125 74.21875 42.625 73.28125 \n",
       "Q 47.953125 72.359375 53.515625 70.515625 \n",
       "z\n",
       "\" id=\"DejaVuSans-83\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(291.575 253.99)rotate(-90)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-83\"/>\n",
       "       <use x=\"63.476562\" xlink:href=\"#DejaVuSans-101\"/>\n",
       "       <use x=\"125\" xlink:href=\"#DejaVuSans-112\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_10\">\n",
       "     <g id=\"line2d_10\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"316.715625\" xlink:href=\"#m359fa36b7a\" y=\"228.14\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_10\">\n",
       "      <!-- Oct -->\n",
       "      <defs>\n",
       "       <path d=\"M 39.40625 66.21875 \n",
       "Q 28.65625 66.21875 22.328125 58.203125 \n",
       "Q 16.015625 50.203125 16.015625 36.375 \n",
       "Q 16.015625 22.609375 22.328125 14.59375 \n",
       "Q 28.65625 6.59375 39.40625 6.59375 \n",
       "Q 50.140625 6.59375 56.421875 14.59375 \n",
       "Q 62.703125 22.609375 62.703125 36.375 \n",
       "Q 62.703125 50.203125 56.421875 58.203125 \n",
       "Q 50.140625 66.21875 39.40625 66.21875 \n",
       "z\n",
       "M 39.40625 74.21875 \n",
       "Q 54.734375 74.21875 63.90625 63.9375 \n",
       "Q 73.09375 53.65625 73.09375 36.375 \n",
       "Q 73.09375 19.140625 63.90625 8.859375 \n",
       "Q 54.734375 -1.421875 39.40625 -1.421875 \n",
       "Q 24.03125 -1.421875 14.8125 8.828125 \n",
       "Q 5.609375 19.09375 5.609375 36.375 \n",
       "Q 5.609375 53.65625 14.8125 63.9375 \n",
       "Q 24.03125 74.21875 39.40625 74.21875 \n",
       "z\n",
       "\" id=\"DejaVuSans-79\"/>\n",
       "       <path d=\"M 48.78125 52.59375 \n",
       "L 48.78125 44.1875 \n",
       "Q 44.96875 46.296875 41.140625 47.34375 \n",
       "Q 37.3125 48.390625 33.40625 48.390625 \n",
       "Q 24.65625 48.390625 19.8125 42.84375 \n",
       "Q 14.984375 37.3125 14.984375 27.296875 \n",
       "Q 14.984375 17.28125 19.8125 11.734375 \n",
       "Q 24.65625 6.203125 33.40625 6.203125 \n",
       "Q 37.3125 6.203125 41.140625 7.25 \n",
       "Q 44.96875 8.296875 48.78125 10.40625 \n",
       "L 48.78125 2.09375 \n",
       "Q 45.015625 0.34375 40.984375 -0.53125 \n",
       "Q 36.96875 -1.421875 32.421875 -1.421875 \n",
       "Q 20.0625 -1.421875 12.78125 6.34375 \n",
       "Q 5.515625 14.109375 5.515625 27.296875 \n",
       "Q 5.515625 40.671875 12.859375 48.328125 \n",
       "Q 20.21875 56 33.015625 56 \n",
       "Q 37.15625 56 41.109375 55.140625 \n",
       "Q 45.0625 54.296875 48.78125 52.59375 \n",
       "z\n",
       "\" id=\"DejaVuSans-99\"/>\n",
       "       <path d=\"M 18.3125 70.21875 \n",
       "L 18.3125 54.6875 \n",
       "L 36.8125 54.6875 \n",
       "L 36.8125 47.703125 \n",
       "L 18.3125 47.703125 \n",
       "L 18.3125 18.015625 \n",
       "Q 18.3125 11.328125 20.140625 9.421875 \n",
       "Q 21.96875 7.515625 27.59375 7.515625 \n",
       "L 36.8125 7.515625 \n",
       "L 36.8125 0 \n",
       "L 27.59375 0 \n",
       "Q 17.1875 0 13.234375 3.875 \n",
       "Q 9.28125 7.765625 9.28125 18.015625 \n",
       "L 9.28125 47.703125 \n",
       "L 2.6875 47.703125 \n",
       "L 2.6875 54.6875 \n",
       "L 9.28125 54.6875 \n",
       "L 9.28125 70.21875 \n",
       "z\n",
       "\" id=\"DejaVuSans-116\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(319.475 252.430625)rotate(-90)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-79\"/>\n",
       "       <use x=\"78.710938\" xlink:href=\"#DejaVuSans-99\"/>\n",
       "       <use x=\"133.691406\" xlink:href=\"#DejaVuSans-116\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_11\">\n",
       "     <g id=\"line2d_11\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"344.615625\" xlink:href=\"#m359fa36b7a\" y=\"228.14\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_11\">\n",
       "      <!-- Nov -->\n",
       "      <defs>\n",
       "       <path d=\"M 9.8125 72.90625 \n",
       "L 23.09375 72.90625 \n",
       "L 55.421875 11.921875 \n",
       "L 55.421875 72.90625 \n",
       "L 64.984375 72.90625 \n",
       "L 64.984375 0 \n",
       "L 51.703125 0 \n",
       "L 19.390625 60.984375 \n",
       "L 19.390625 0 \n",
       "L 9.8125 0 \n",
       "z\n",
       "\" id=\"DejaVuSans-78\"/>\n",
       "       <path d=\"M 30.609375 48.390625 \n",
       "Q 23.390625 48.390625 19.1875 42.75 \n",
       "Q 14.984375 37.109375 14.984375 27.296875 \n",
       "Q 14.984375 17.484375 19.15625 11.84375 \n",
       "Q 23.34375 6.203125 30.609375 6.203125 \n",
       "Q 37.796875 6.203125 41.984375 11.859375 \n",
       "Q 46.1875 17.53125 46.1875 27.296875 \n",
       "Q 46.1875 37.015625 41.984375 42.703125 \n",
       "Q 37.796875 48.390625 30.609375 48.390625 \n",
       "z\n",
       "M 30.609375 56 \n",
       "Q 42.328125 56 49.015625 48.375 \n",
       "Q 55.71875 40.765625 55.71875 27.296875 \n",
       "Q 55.71875 13.875 49.015625 6.21875 \n",
       "Q 42.328125 -1.421875 30.609375 -1.421875 \n",
       "Q 18.84375 -1.421875 12.171875 6.21875 \n",
       "Q 5.515625 13.875 5.515625 27.296875 \n",
       "Q 5.515625 40.765625 12.171875 48.375 \n",
       "Q 18.84375 56 30.609375 56 \n",
       "z\n",
       "\" id=\"DejaVuSans-111\"/>\n",
       "       <path d=\"M 2.984375 54.6875 \n",
       "L 12.5 54.6875 \n",
       "L 29.59375 8.796875 \n",
       "L 46.6875 54.6875 \n",
       "L 56.203125 54.6875 \n",
       "L 35.6875 0 \n",
       "L 23.484375 0 \n",
       "z\n",
       "\" id=\"DejaVuSans-118\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(347.375 254.65875)rotate(-90)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-78\"/>\n",
       "       <use x=\"74.804688\" xlink:href=\"#DejaVuSans-111\"/>\n",
       "       <use x=\"135.986328\" xlink:href=\"#DejaVuSans-118\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_12\">\n",
       "     <g id=\"line2d_12\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"372.515625\" xlink:href=\"#m359fa36b7a\" y=\"228.14\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_12\">\n",
       "      <!-- Dec -->\n",
       "      <defs>\n",
       "       <path d=\"M 19.671875 64.796875 \n",
       "L 19.671875 8.109375 \n",
       "L 31.59375 8.109375 \n",
       "Q 46.6875 8.109375 53.6875 14.9375 \n",
       "Q 60.6875 21.78125 60.6875 36.53125 \n",
       "Q 60.6875 51.171875 53.6875 57.984375 \n",
       "Q 46.6875 64.796875 31.59375 64.796875 \n",
       "z\n",
       "M 9.8125 72.90625 \n",
       "L 30.078125 72.90625 \n",
       "Q 51.265625 72.90625 61.171875 64.09375 \n",
       "Q 71.09375 55.28125 71.09375 36.53125 \n",
       "Q 71.09375 17.671875 61.125 8.828125 \n",
       "Q 51.171875 0 30.078125 0 \n",
       "L 9.8125 0 \n",
       "z\n",
       "\" id=\"DejaVuSans-68\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(375.275 254.491562)rotate(-90)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-68\"/>\n",
       "       <use x=\"77.001953\" xlink:href=\"#DejaVuSans-101\"/>\n",
       "       <use x=\"138.525391\" xlink:href=\"#DejaVuSans-99\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"text_13\">\n",
       "     <!-- Month -->\n",
       "     <defs>\n",
       "      <path d=\"M 54.890625 33.015625 \n",
       "L 54.890625 0 \n",
       "L 45.90625 0 \n",
       "L 45.90625 32.71875 \n",
       "Q 45.90625 40.484375 42.875 44.328125 \n",
       "Q 39.84375 48.1875 33.796875 48.1875 \n",
       "Q 26.515625 48.1875 22.3125 43.546875 \n",
       "Q 18.109375 38.921875 18.109375 30.90625 \n",
       "L 18.109375 0 \n",
       "L 9.078125 0 \n",
       "L 9.078125 75.984375 \n",
       "L 18.109375 75.984375 \n",
       "L 18.109375 46.1875 \n",
       "Q 21.34375 51.125 25.703125 53.5625 \n",
       "Q 30.078125 56 35.796875 56 \n",
       "Q 45.21875 56 50.046875 50.171875 \n",
       "Q 54.890625 44.34375 54.890625 33.015625 \n",
       "z\n",
       "\" id=\"DejaVuSans-104\"/>\n",
       "     </defs>\n",
       "     <g transform=\"translate(203.394531 267.413437)scale(0.1 -0.1)\">\n",
       "      <use xlink:href=\"#DejaVuSans-77\"/>\n",
       "      <use x=\"86.279297\" xlink:href=\"#DejaVuSans-111\"/>\n",
       "      <use x=\"147.460938\" xlink:href=\"#DejaVuSans-110\"/>\n",
       "      <use x=\"210.839844\" xlink:href=\"#DejaVuSans-116\"/>\n",
       "      <use x=\"250.048828\" xlink:href=\"#DejaVuSans-104\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_2\">\n",
       "    <g id=\"ytick_1\">\n",
       "     <g id=\"line2d_13\">\n",
       "      <defs>\n",
       "       <path d=\"M 0 0 \n",
       "L -3.5 0 \n",
       "\" id=\"m17c10c3deb\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"51.665625\" xlink:href=\"#m17c10c3deb\" y=\"228.14\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_14\">\n",
       "      <!-- 0.0 -->\n",
       "      <defs>\n",
       "       <path d=\"M 31.78125 66.40625 \n",
       "Q 24.171875 66.40625 20.328125 58.90625 \n",
       "Q 16.5 51.421875 16.5 36.375 \n",
       "Q 16.5 21.390625 20.328125 13.890625 \n",
       "Q 24.171875 6.390625 31.78125 6.390625 \n",
       "Q 39.453125 6.390625 43.28125 13.890625 \n",
       "Q 47.125 21.390625 47.125 36.375 \n",
       "Q 47.125 51.421875 43.28125 58.90625 \n",
       "Q 39.453125 66.40625 31.78125 66.40625 \n",
       "z\n",
       "M 31.78125 74.21875 \n",
       "Q 44.046875 74.21875 50.515625 64.515625 \n",
       "Q 56.984375 54.828125 56.984375 36.375 \n",
       "Q 56.984375 17.96875 50.515625 8.265625 \n",
       "Q 44.046875 -1.421875 31.78125 -1.421875 \n",
       "Q 19.53125 -1.421875 13.0625 8.265625 \n",
       "Q 6.59375 17.96875 6.59375 36.375 \n",
       "Q 6.59375 54.828125 13.0625 64.515625 \n",
       "Q 19.53125 74.21875 31.78125 74.21875 \n",
       "z\n",
       "\" id=\"DejaVuSans-48\"/>\n",
       "       <path d=\"M 10.6875 12.40625 \n",
       "L 21 12.40625 \n",
       "L 21 0 \n",
       "L 10.6875 0 \n",
       "z\n",
       "\" id=\"DejaVuSans-46\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(28.7625 231.939219)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_2\">\n",
       "     <g id=\"line2d_14\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"51.665625\" xlink:href=\"#m17c10c3deb\" y=\"200.125706\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_15\">\n",
       "      <!-- 2.5 -->\n",
       "      <defs>\n",
       "       <path d=\"M 19.1875 8.296875 \n",
       "L 53.609375 8.296875 \n",
       "L 53.609375 0 \n",
       "L 7.328125 0 \n",
       "L 7.328125 8.296875 \n",
       "Q 12.9375 14.109375 22.625 23.890625 \n",
       "Q 32.328125 33.6875 34.8125 36.53125 \n",
       "Q 39.546875 41.84375 41.421875 45.53125 \n",
       "Q 43.3125 49.21875 43.3125 52.78125 \n",
       "Q 43.3125 58.59375 39.234375 62.25 \n",
       "Q 35.15625 65.921875 28.609375 65.921875 \n",
       "Q 23.96875 65.921875 18.8125 64.3125 \n",
       "Q 13.671875 62.703125 7.8125 59.421875 \n",
       "L 7.8125 69.390625 \n",
       "Q 13.765625 71.78125 18.9375 73 \n",
       "Q 24.125 74.21875 28.421875 74.21875 \n",
       "Q 39.75 74.21875 46.484375 68.546875 \n",
       "Q 53.21875 62.890625 53.21875 53.421875 \n",
       "Q 53.21875 48.921875 51.53125 44.890625 \n",
       "Q 49.859375 40.875 45.40625 35.40625 \n",
       "Q 44.1875 33.984375 37.640625 27.21875 \n",
       "Q 31.109375 20.453125 19.1875 8.296875 \n",
       "z\n",
       "\" id=\"DejaVuSans-50\"/>\n",
       "       <path d=\"M 10.796875 72.90625 \n",
       "L 49.515625 72.90625 \n",
       "L 49.515625 64.59375 \n",
       "L 19.828125 64.59375 \n",
       "L 19.828125 46.734375 \n",
       "Q 21.96875 47.46875 24.109375 47.828125 \n",
       "Q 26.265625 48.1875 28.421875 48.1875 \n",
       "Q 40.625 48.1875 47.75 41.5 \n",
       "Q 54.890625 34.8125 54.890625 23.390625 \n",
       "Q 54.890625 11.625 47.5625 5.09375 \n",
       "Q 40.234375 -1.421875 26.90625 -1.421875 \n",
       "Q 22.3125 -1.421875 17.546875 -0.640625 \n",
       "Q 12.796875 0.140625 7.71875 1.703125 \n",
       "L 7.71875 11.625 \n",
       "Q 12.109375 9.234375 16.796875 8.0625 \n",
       "Q 21.484375 6.890625 26.703125 6.890625 \n",
       "Q 35.15625 6.890625 40.078125 11.328125 \n",
       "Q 45.015625 15.765625 45.015625 23.390625 \n",
       "Q 45.015625 31 40.078125 35.4375 \n",
       "Q 35.15625 39.890625 26.703125 39.890625 \n",
       "Q 22.75 39.890625 18.8125 39.015625 \n",
       "Q 14.890625 38.140625 10.796875 36.28125 \n",
       "z\n",
       "\" id=\"DejaVuSans-53\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(28.7625 203.924924)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-50\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_3\">\n",
       "     <g id=\"line2d_15\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"51.665625\" xlink:href=\"#m17c10c3deb\" y=\"172.111411\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_16\">\n",
       "      <!-- 5.0 -->\n",
       "      <g transform=\"translate(28.7625 175.91063)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-53\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_4\">\n",
       "     <g id=\"line2d_16\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"51.665625\" xlink:href=\"#m17c10c3deb\" y=\"144.097117\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_17\">\n",
       "      <!-- 7.5 -->\n",
       "      <defs>\n",
       "       <path d=\"M 8.203125 72.90625 \n",
       "L 55.078125 72.90625 \n",
       "L 55.078125 68.703125 \n",
       "L 28.609375 0 \n",
       "L 18.3125 0 \n",
       "L 43.21875 64.59375 \n",
       "L 8.203125 64.59375 \n",
       "z\n",
       "\" id=\"DejaVuSans-55\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(28.7625 147.896336)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-55\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_5\">\n",
       "     <g id=\"line2d_17\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"51.665625\" xlink:href=\"#m17c10c3deb\" y=\"116.082823\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_18\">\n",
       "      <!-- 10.0 -->\n",
       "      <defs>\n",
       "       <path d=\"M 12.40625 8.296875 \n",
       "L 28.515625 8.296875 \n",
       "L 28.515625 63.921875 \n",
       "L 10.984375 60.40625 \n",
       "L 10.984375 69.390625 \n",
       "L 28.421875 72.90625 \n",
       "L 38.28125 72.90625 \n",
       "L 38.28125 8.296875 \n",
       "L 54.390625 8.296875 \n",
       "L 54.390625 0 \n",
       "L 12.40625 0 \n",
       "z\n",
       "\" id=\"DejaVuSans-49\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(22.4 119.882042)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-49\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_6\">\n",
       "     <g id=\"line2d_18\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"51.665625\" xlink:href=\"#m17c10c3deb\" y=\"88.068529\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_19\">\n",
       "      <!-- 12.5 -->\n",
       "      <g transform=\"translate(22.4 91.867747)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-49\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_7\">\n",
       "     <g id=\"line2d_19\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"51.665625\" xlink:href=\"#m17c10c3deb\" y=\"60.054234\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_20\">\n",
       "      <!-- 15.0 -->\n",
       "      <g transform=\"translate(22.4 63.853453)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-49\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_8\">\n",
       "     <g id=\"line2d_20\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"51.665625\" xlink:href=\"#m17c10c3deb\" y=\"32.03994\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_21\">\n",
       "      <!-- 17.5 -->\n",
       "      <g transform=\"translate(22.4 35.839159)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-49\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-55\"/>\n",
       "       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"text_22\">\n",
       "     <!-- Mean Air Temperature ($^\\degree$C) -->\n",
       "     <defs>\n",
       "      <path id=\"DejaVuSans-32\"/>\n",
       "      <path d=\"M 9.421875 54.6875 \n",
       "L 18.40625 54.6875 \n",
       "L 18.40625 0 \n",
       "L 9.421875 0 \n",
       "z\n",
       "M 9.421875 75.984375 \n",
       "L 18.40625 75.984375 \n",
       "L 18.40625 64.59375 \n",
       "L 9.421875 64.59375 \n",
       "z\n",
       "\" id=\"DejaVuSans-105\"/>\n",
       "      <path d=\"M -0.296875 72.90625 \n",
       "L 61.375 72.90625 \n",
       "L 61.375 64.59375 \n",
       "L 35.5 64.59375 \n",
       "L 35.5 0 \n",
       "L 25.59375 0 \n",
       "L 25.59375 64.59375 \n",
       "L -0.296875 64.59375 \n",
       "z\n",
       "\" id=\"DejaVuSans-84\"/>\n",
       "      <path d=\"M 52 44.1875 \n",
       "Q 55.375 50.25 60.0625 53.125 \n",
       "Q 64.75 56 71.09375 56 \n",
       "Q 79.640625 56 84.28125 50.015625 \n",
       "Q 88.921875 44.046875 88.921875 33.015625 \n",
       "L 88.921875 0 \n",
       "L 79.890625 0 \n",
       "L 79.890625 32.71875 \n",
       "Q 79.890625 40.578125 77.09375 44.375 \n",
       "Q 74.3125 48.1875 68.609375 48.1875 \n",
       "Q 61.625 48.1875 57.5625 43.546875 \n",
       "Q 53.515625 38.921875 53.515625 30.90625 \n",
       "L 53.515625 0 \n",
       "L 44.484375 0 \n",
       "L 44.484375 32.71875 \n",
       "Q 44.484375 40.625 41.703125 44.40625 \n",
       "Q 38.921875 48.1875 33.109375 48.1875 \n",
       "Q 26.21875 48.1875 22.15625 43.53125 \n",
       "Q 18.109375 38.875 18.109375 30.90625 \n",
       "L 18.109375 0 \n",
       "L 9.078125 0 \n",
       "L 9.078125 54.6875 \n",
       "L 18.109375 54.6875 \n",
       "L 18.109375 46.1875 \n",
       "Q 21.1875 51.21875 25.484375 53.609375 \n",
       "Q 29.78125 56 35.6875 56 \n",
       "Q 41.65625 56 45.828125 52.96875 \n",
       "Q 50 49.953125 52 44.1875 \n",
       "z\n",
       "\" id=\"DejaVuSans-109\"/>\n",
       "      <path d=\"M 31 75.875 \n",
       "Q 24.46875 64.65625 21.28125 53.65625 \n",
       "Q 18.109375 42.671875 18.109375 31.390625 \n",
       "Q 18.109375 20.125 21.3125 9.0625 \n",
       "Q 24.515625 -2 31 -13.1875 \n",
       "L 23.1875 -13.1875 \n",
       "Q 15.875 -1.703125 12.234375 9.375 \n",
       "Q 8.59375 20.453125 8.59375 31.390625 \n",
       "Q 8.59375 42.28125 12.203125 53.3125 \n",
       "Q 15.828125 64.359375 23.1875 75.875 \n",
       "z\n",
       "\" id=\"DejaVuSans-40\"/>\n",
       "      <path d=\"M 25 67.921875 \n",
       "Q 21.09375 67.921875 18.40625 65.203125 \n",
       "Q 15.71875 62.5 15.71875 58.59375 \n",
       "Q 15.71875 54.734375 18.40625 52.078125 \n",
       "Q 21.09375 49.421875 25 49.421875 \n",
       "Q 28.90625 49.421875 31.59375 52.078125 \n",
       "Q 34.28125 54.734375 34.28125 58.59375 \n",
       "Q 34.28125 62.453125 31.5625 65.1875 \n",
       "Q 28.859375 67.921875 25 67.921875 \n",
       "z\n",
       "M 25 74.21875 \n",
       "Q 28.125 74.21875 31 73.015625 \n",
       "Q 33.890625 71.828125 35.984375 69.578125 \n",
       "Q 38.234375 67.390625 39.359375 64.59375 \n",
       "Q 40.484375 61.8125 40.484375 58.59375 \n",
       "Q 40.484375 52.15625 35.96875 47.6875 \n",
       "Q 31.453125 43.21875 24.90625 43.21875 \n",
       "Q 18.3125 43.21875 13.90625 47.609375 \n",
       "Q 9.515625 52 9.515625 58.59375 \n",
       "Q 9.515625 65.140625 14 69.671875 \n",
       "Q 18.5 74.21875 25 74.21875 \n",
       "z\n",
       "\" id=\"DejaVuSans-176\"/>\n",
       "      <path d=\"M 64.40625 67.28125 \n",
       "L 64.40625 56.890625 \n",
       "Q 59.421875 61.53125 53.78125 63.8125 \n",
       "Q 48.140625 66.109375 41.796875 66.109375 \n",
       "Q 29.296875 66.109375 22.65625 58.46875 \n",
       "Q 16.015625 50.828125 16.015625 36.375 \n",
       "Q 16.015625 21.96875 22.65625 14.328125 \n",
       "Q 29.296875 6.6875 41.796875 6.6875 \n",
       "Q 48.140625 6.6875 53.78125 8.984375 \n",
       "Q 59.421875 11.28125 64.40625 15.921875 \n",
       "L 64.40625 5.609375 \n",
       "Q 59.234375 2.09375 53.4375 0.328125 \n",
       "Q 47.65625 -1.421875 41.21875 -1.421875 \n",
       "Q 24.65625 -1.421875 15.125 8.703125 \n",
       "Q 5.609375 18.84375 5.609375 36.375 \n",
       "Q 5.609375 53.953125 15.125 64.078125 \n",
       "Q 24.65625 74.21875 41.21875 74.21875 \n",
       "Q 47.75 74.21875 53.53125 72.484375 \n",
       "Q 59.328125 70.75 64.40625 67.28125 \n",
       "z\n",
       "\" id=\"DejaVuSans-67\"/>\n",
       "      <path d=\"M 8.015625 75.875 \n",
       "L 15.828125 75.875 \n",
       "Q 23.140625 64.359375 26.78125 53.3125 \n",
       "Q 30.421875 42.28125 30.421875 31.390625 \n",
       "Q 30.421875 20.453125 26.78125 9.375 \n",
       "Q 23.140625 -1.703125 15.828125 -13.1875 \n",
       "L 8.015625 -13.1875 \n",
       "Q 14.5 -2 17.703125 9.0625 \n",
       "Q 20.90625 20.125 20.90625 31.390625 \n",
       "Q 20.90625 42.671875 17.703125 53.65625 \n",
       "Q 14.5 64.65625 8.015625 75.875 \n",
       "z\n",
       "\" id=\"DejaVuSans-41\"/>\n",
       "     </defs>\n",
       "     <g transform=\"translate(16.3 186.67)rotate(-90)scale(0.1 -0.1)\">\n",
       "      <use transform=\"translate(0 0.765625)\" xlink:href=\"#DejaVuSans-77\"/>\n",
       "      <use transform=\"translate(86.279297 0.765625)\" xlink:href=\"#DejaVuSans-101\"/>\n",
       "      <use transform=\"translate(147.802734 0.765625)\" xlink:href=\"#DejaVuSans-97\"/>\n",
       "      <use transform=\"translate(209.082031 0.765625)\" xlink:href=\"#DejaVuSans-110\"/>\n",
       "      <use transform=\"translate(272.460938 0.765625)\" xlink:href=\"#DejaVuSans-32\"/>\n",
       "      <use transform=\"translate(304.248047 0.765625)\" xlink:href=\"#DejaVuSans-65\"/>\n",
       "      <use transform=\"translate(372.65625 0.765625)\" xlink:href=\"#DejaVuSans-105\"/>\n",
       "      <use transform=\"translate(400.439453 0.765625)\" xlink:href=\"#DejaVuSans-114\"/>\n",
       "      <use transform=\"translate(441.552734 0.765625)\" xlink:href=\"#DejaVuSans-32\"/>\n",
       "      <use transform=\"translate(473.339844 0.765625)\" xlink:href=\"#DejaVuSans-84\"/>\n",
       "      <use transform=\"translate(534.423828 0.765625)\" xlink:href=\"#DejaVuSans-101\"/>\n",
       "      <use transform=\"translate(595.947266 0.765625)\" xlink:href=\"#DejaVuSans-109\"/>\n",
       "      <use transform=\"translate(693.359375 0.765625)\" xlink:href=\"#DejaVuSans-112\"/>\n",
       "      <use transform=\"translate(756.835938 0.765625)\" xlink:href=\"#DejaVuSans-101\"/>\n",
       "      <use transform=\"translate(818.359375 0.765625)\" xlink:href=\"#DejaVuSans-114\"/>\n",
       "      <use transform=\"translate(859.472656 0.765625)\" xlink:href=\"#DejaVuSans-97\"/>\n",
       "      <use transform=\"translate(920.751953 0.765625)\" xlink:href=\"#DejaVuSans-116\"/>\n",
       "      <use transform=\"translate(959.960938 0.765625)\" xlink:href=\"#DejaVuSans-117\"/>\n",
       "      <use transform=\"translate(1023.339844 0.765625)\" xlink:href=\"#DejaVuSans-114\"/>\n",
       "      <use transform=\"translate(1064.453125 0.765625)\" xlink:href=\"#DejaVuSans-101\"/>\n",
       "      <use transform=\"translate(1125.976562 0.765625)\" xlink:href=\"#DejaVuSans-32\"/>\n",
       "      <use transform=\"translate(1157.763672 0.765625)\" xlink:href=\"#DejaVuSans-40\"/>\n",
       "      <use transform=\"translate(1197.734375 39.046875)scale(0.7)\" xlink:href=\"#DejaVuSans-176\"/>\n",
       "      <use transform=\"translate(1235.46875 0.765625)\" xlink:href=\"#DejaVuSans-67\"/>\n",
       "      <use transform=\"translate(1305.292969 0.765625)\" xlink:href=\"#DejaVuSans-41\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"patch_15\">\n",
       "    <path d=\"M 51.665625 228.14 \n",
       "L 51.665625 10.7 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_16\">\n",
       "    <path d=\"M 386.465625 228.14 \n",
       "L 386.465625 10.7 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_17\">\n",
       "    <path d=\"M 51.665625 228.14 \n",
       "L 386.465625 228.14 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_18\">\n",
       "    <path d=\"M 51.665625 10.7 \n",
       "L 386.465625 10.7 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n",
       "   </g>\n",
       "  </g>\n",
       " </g>\n",
       " <defs>\n",
       "  <clipPath id=\"p7f729eee46\">\n",
       "   <rect height=\"217.44\" width=\"334.8\" x=\"51.665625\" y=\"10.7\"/>\n",
       "  </clipPath>\n",
       " </defs>\n",
       "</svg>\n"
      ],
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "df_plot = df_forcing.Tair.iloc[:-1].resample('1m').mean()\n",
    "ax_temp = df_plot.plot.bar(color='tab:blue')\n",
    "ax_temp.set_xticklabels(df_plot.index.strftime('%b'))\n",
    "ax_temp.set_ylabel('Mean Air Temperature ($^\\degree$C)')\n",
    "ax_temp.set_xlabel('Month')\n",
    "ax_temp\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Construct a function to perform parallel `supy` simulation with specified `diff_airtemp_test`: the difference in air temperature between the one used in simulation and loaded from sample dataset.\n",
    "*Note: forcing data `df_forcing` has different data structure from `df_state_init`; so we need to modify `run_supy_mgrids` to implement a `run_supy_mclims` for different climate scenarios*"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's start the implementation of `run_supy_mclims` with a small problem of four forcing groups (i.e., climate scenarios), where the air temperatures differ from the baseline scenario with a constant bias."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-02-16T23:45:40.785861Z",
     "start_time": "2019-02-16T23:45:40.772123Z"
    }
   },
   "outputs": [],
   "source": [
    "# save loaded sample datasets\n",
    "df_forcing_part_test = df_forcing.loc['2012 1':'2012 7'].copy()\n",
    "df_state_init_test = df_state_init.copy()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-02-16T23:45:42.153272Z",
     "start_time": "2019-02-16T23:45:42.120643Z"
    }
   },
   "outputs": [],
   "source": [
    "# create a dict with four forcing conditions as a test\n",
    "n_test = 4\n",
    "list_TairDiff_test = np.linspace(0., 2, n_test).round(2)\n",
    "dict_df_forcing_x = {\n",
    "    tairdiff: df_forcing_part_test.copy()\n",
    "    for tairdiff in list_TairDiff_test}\n",
    "for tairdiff in dict_df_forcing_x:\n",
    "    dict_df_forcing_x[tairdiff].loc[:, 'Tair'] += tairdiff\n",
    "\n",
    "dd_forcing_x = {\n",
    "    k: delayed(sp.run_supy)(df, df_state_init_test)[0]\n",
    "    for k, df in dict_df_forcing_x.items()}\n",
    "\n",
    "\n",
    "df_res_tairdiff_test0 = delayed(pd.concat)(\n",
    "    dd_forcing_x,\n",
    "    keys=list_TairDiff_test,\n",
    "    names=['tairdiff'],\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-02-16T23:46:19.727607Z",
     "start_time": "2019-02-16T23:45:47.862923Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Execution time: 31.86 s\n"
     ]
    }
   ],
   "source": [
    "# test the performance of a parallel run\n",
    "t0 = time()\n",
    "df_res_tairdiff_test = df_res_tairdiff_test0\\\n",
    "    .compute(scheduler='processes')\\\n",
    "    .reset_index('grid', drop=True)\n",
    "t1 = time()\n",
    "t_par = t1 - t0\n",
    "print(f'Execution time: {t_par:.2f} s')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-02-16T23:46:22.911554Z",
     "start_time": "2019-02-16T23:46:22.907821Z"
    }
   },
   "outputs": [],
   "source": [
    "# function for multi-climate `run_supy`\n",
    "# wrapping the above code into one\n",
    "def run_supy_mclims(df_state_init, dict_df_forcing_mclims):\n",
    "    dd_forcing_x = {\n",
    "        k: delayed(sp.run_supy)(df, df_state_init_test)[0]\n",
    "        for k, df in dict_df_forcing_x.items()}\n",
    "    df_output_mclims0 = delayed(pd.concat)(\n",
    "        dd_forcing_x,\n",
    "        keys=list(dict_df_forcing_x.keys()),\n",
    "        names=['clm'],\n",
    "    ).compute(scheduler='processes')\n",
    "    df_output_mclims = df_output_mclims0.reset_index('grid', drop=True)\n",
    "\n",
    "    return df_output_mclims"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Construct `dict_df_forcing_x` with multiple forcing `DataFrame`s"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-02-17T00:30:30.265198Z",
     "start_time": "2019-02-17T00:30:30.116056Z"
    }
   },
   "outputs": [],
   "source": [
    "# save loaded sample datasets\n",
    "df_forcing_part_test = df_forcing.loc['2012 1':'2012 7'].copy()\n",
    "df_state_init_test = df_state_init.copy()\n",
    "\n",
    "# create a dict with a number of forcing conditions\n",
    "n_test = 24 # can be set with a smaller value to save simulation time\n",
    "list_TairDiff_test = np.linspace(0., 2, n_test).round(2)\n",
    "dict_df_forcing_x = {\n",
    "    tairdiff: df_forcing_part_test.copy()\n",
    "    for tairdiff in list_TairDiff_test}\n",
    "for tairdiff in dict_df_forcing_x:\n",
    "    dict_df_forcing_x[tairdiff].loc[:, 'Tair'] += tairdiff"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Perform simulations"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-02-17T00:32:38.704931Z",
     "start_time": "2019-02-17T00:30:32.521269Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Execution time: 126.18 s\n"
     ]
    }
   ],
   "source": [
    "# run parallel simulations using `run_supy_mclims`\n",
    "t0 = time()\n",
    "df_airtemp_test_x = run_supy_mclims(df_state_init_test, dict_df_forcing_x)\n",
    "t1 = time()\n",
    "t_par = t1-t0\n",
    "print(f'Execution time: {t_par:.2f} s')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Examine the results"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-02-17T00:39:55.100870Z",
     "start_time": "2019-02-17T00:39:53.611386Z"
    }
   },
   "outputs": [],
   "source": [
    "df_airtemp_test = df_airtemp_test_x.SUEWS.unstack(0)\n",
    "df_temp_diff=df_airtemp_test.T2.transform(lambda x: x - df_airtemp_test.T2[0.0])\n",
    "df_temp_diff_ana=df_temp_diff.loc['2012 7']\n",
    "df_temp_diff_stat=df_temp_diff_ana.describe().loc[['max', 'mean', 'min']].T"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-02-17T00:39:58.694906Z",
     "start_time": "2019-02-17T00:39:58.495904Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/svg+xml": [
       "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n",
       "<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n",
       "  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n",
       "<!-- Created with matplotlib (https://matplotlib.org/) -->\n",
       "<svg height=\"374.41625pt\" version=\"1.1\" viewBox=\"0 0 351.944442 374.41625\" width=\"351.944442pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
       " <defs>\n",
       "  <style type=\"text/css\">\n",
       "*{stroke-linecap:butt;stroke-linejoin:round;}\n",
       "  </style>\n",
       " </defs>\n",
       " <g id=\"figure_1\">\n",
       "  <g id=\"patch_1\">\n",
       "   <path d=\"M 0 374.41625 \n",
       "L 351.944442 374.41625 \n",
       "L 351.944442 0 \n",
       "L 0 0 \n",
       "z\n",
       "\" style=\"fill:none;\"/>\n",
       "  </g>\n",
       "  <g id=\"axes_1\">\n",
       "   <g id=\"patch_2\">\n",
       "    <path d=\"M 43.78125 336.86 \n",
       "L 333.61163 336.86 \n",
       "L 333.61163 10.7 \n",
       "L 43.78125 10.7 \n",
       "z\n",
       "\" style=\"fill:#ffffff;\"/>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_1\">\n",
       "    <g id=\"xtick_1\">\n",
       "     <g id=\"line2d_1\">\n",
       "      <defs>\n",
       "       <path d=\"M 0 0 \n",
       "L 0 3.5 \n",
       "\" id=\"md5a723f7ad\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"43.78125\" xlink:href=\"#md5a723f7ad\" y=\"336.86\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_1\">\n",
       "      <!-- 0.00 -->\n",
       "      <defs>\n",
       "       <path d=\"M 31.78125 66.40625 \n",
       "Q 24.171875 66.40625 20.328125 58.90625 \n",
       "Q 16.5 51.421875 16.5 36.375 \n",
       "Q 16.5 21.390625 20.328125 13.890625 \n",
       "Q 24.171875 6.390625 31.78125 6.390625 \n",
       "Q 39.453125 6.390625 43.28125 13.890625 \n",
       "Q 47.125 21.390625 47.125 36.375 \n",
       "Q 47.125 51.421875 43.28125 58.90625 \n",
       "Q 39.453125 66.40625 31.78125 66.40625 \n",
       "z\n",
       "M 31.78125 74.21875 \n",
       "Q 44.046875 74.21875 50.515625 64.515625 \n",
       "Q 56.984375 54.828125 56.984375 36.375 \n",
       "Q 56.984375 17.96875 50.515625 8.265625 \n",
       "Q 44.046875 -1.421875 31.78125 -1.421875 \n",
       "Q 19.53125 -1.421875 13.0625 8.265625 \n",
       "Q 6.59375 17.96875 6.59375 36.375 \n",
       "Q 6.59375 54.828125 13.0625 64.515625 \n",
       "Q 19.53125 74.21875 31.78125 74.21875 \n",
       "z\n",
       "\" id=\"DejaVuSans-48\"/>\n",
       "       <path d=\"M 10.6875 12.40625 \n",
       "L 21 12.40625 \n",
       "L 21 0 \n",
       "L 10.6875 0 \n",
       "z\n",
       "\" id=\"DejaVuSans-46\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(32.648438 351.458437)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_2\">\n",
       "     <g id=\"line2d_2\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"80.010047\" xlink:href=\"#md5a723f7ad\" y=\"336.86\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_2\">\n",
       "      <!-- 0.25 -->\n",
       "      <defs>\n",
       "       <path d=\"M 19.1875 8.296875 \n",
       "L 53.609375 8.296875 \n",
       "L 53.609375 0 \n",
       "L 7.328125 0 \n",
       "L 7.328125 8.296875 \n",
       "Q 12.9375 14.109375 22.625 23.890625 \n",
       "Q 32.328125 33.6875 34.8125 36.53125 \n",
       "Q 39.546875 41.84375 41.421875 45.53125 \n",
       "Q 43.3125 49.21875 43.3125 52.78125 \n",
       "Q 43.3125 58.59375 39.234375 62.25 \n",
       "Q 35.15625 65.921875 28.609375 65.921875 \n",
       "Q 23.96875 65.921875 18.8125 64.3125 \n",
       "Q 13.671875 62.703125 7.8125 59.421875 \n",
       "L 7.8125 69.390625 \n",
       "Q 13.765625 71.78125 18.9375 73 \n",
       "Q 24.125 74.21875 28.421875 74.21875 \n",
       "Q 39.75 74.21875 46.484375 68.546875 \n",
       "Q 53.21875 62.890625 53.21875 53.421875 \n",
       "Q 53.21875 48.921875 51.53125 44.890625 \n",
       "Q 49.859375 40.875 45.40625 35.40625 \n",
       "Q 44.1875 33.984375 37.640625 27.21875 \n",
       "Q 31.109375 20.453125 19.1875 8.296875 \n",
       "z\n",
       "\" id=\"DejaVuSans-50\"/>\n",
       "       <path d=\"M 10.796875 72.90625 \n",
       "L 49.515625 72.90625 \n",
       "L 49.515625 64.59375 \n",
       "L 19.828125 64.59375 \n",
       "L 19.828125 46.734375 \n",
       "Q 21.96875 47.46875 24.109375 47.828125 \n",
       "Q 26.265625 48.1875 28.421875 48.1875 \n",
       "Q 40.625 48.1875 47.75 41.5 \n",
       "Q 54.890625 34.8125 54.890625 23.390625 \n",
       "Q 54.890625 11.625 47.5625 5.09375 \n",
       "Q 40.234375 -1.421875 26.90625 -1.421875 \n",
       "Q 22.3125 -1.421875 17.546875 -0.640625 \n",
       "Q 12.796875 0.140625 7.71875 1.703125 \n",
       "L 7.71875 11.625 \n",
       "Q 12.109375 9.234375 16.796875 8.0625 \n",
       "Q 21.484375 6.890625 26.703125 6.890625 \n",
       "Q 35.15625 6.890625 40.078125 11.328125 \n",
       "Q 45.015625 15.765625 45.015625 23.390625 \n",
       "Q 45.015625 31 40.078125 35.4375 \n",
       "Q 35.15625 39.890625 26.703125 39.890625 \n",
       "Q 22.75 39.890625 18.8125 39.015625 \n",
       "Q 14.890625 38.140625 10.796875 36.28125 \n",
       "z\n",
       "\" id=\"DejaVuSans-53\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(68.877235 351.458437)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_3\">\n",
       "     <g id=\"line2d_3\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"116.238845\" xlink:href=\"#md5a723f7ad\" y=\"336.86\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_3\">\n",
       "      <!-- 0.50 -->\n",
       "      <g transform=\"translate(105.106032 351.458437)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_4\">\n",
       "     <g id=\"line2d_4\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"152.467642\" xlink:href=\"#md5a723f7ad\" y=\"336.86\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_4\">\n",
       "      <!-- 0.75 -->\n",
       "      <defs>\n",
       "       <path d=\"M 8.203125 72.90625 \n",
       "L 55.078125 72.90625 \n",
       "L 55.078125 68.703125 \n",
       "L 28.609375 0 \n",
       "L 18.3125 0 \n",
       "L 43.21875 64.59375 \n",
       "L 8.203125 64.59375 \n",
       "z\n",
       "\" id=\"DejaVuSans-55\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(141.33483 351.458437)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-55\"/>\n",
       "       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_5\">\n",
       "     <g id=\"line2d_5\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"188.69644\" xlink:href=\"#md5a723f7ad\" y=\"336.86\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_5\">\n",
       "      <!-- 1.00 -->\n",
       "      <defs>\n",
       "       <path d=\"M 12.40625 8.296875 \n",
       "L 28.515625 8.296875 \n",
       "L 28.515625 63.921875 \n",
       "L 10.984375 60.40625 \n",
       "L 10.984375 69.390625 \n",
       "L 28.421875 72.90625 \n",
       "L 38.28125 72.90625 \n",
       "L 38.28125 8.296875 \n",
       "L 54.390625 8.296875 \n",
       "L 54.390625 0 \n",
       "L 12.40625 0 \n",
       "z\n",
       "\" id=\"DejaVuSans-49\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(177.563627 351.458437)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-49\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_6\">\n",
       "     <g id=\"line2d_6\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"224.925237\" xlink:href=\"#md5a723f7ad\" y=\"336.86\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_6\">\n",
       "      <!-- 1.25 -->\n",
       "      <g transform=\"translate(213.792425 351.458437)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-49\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_7\">\n",
       "     <g id=\"line2d_7\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"261.154035\" xlink:href=\"#md5a723f7ad\" y=\"336.86\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_7\">\n",
       "      <!-- 1.50 -->\n",
       "      <g transform=\"translate(250.021222 351.458437)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-49\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_8\">\n",
       "     <g id=\"line2d_8\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"297.382832\" xlink:href=\"#md5a723f7ad\" y=\"336.86\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_8\">\n",
       "      <!-- 1.75 -->\n",
       "      <g transform=\"translate(286.25002 351.458437)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-49\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-55\"/>\n",
       "       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_9\">\n",
       "     <g id=\"line2d_9\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"333.61163\" xlink:href=\"#md5a723f7ad\" y=\"336.86\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_9\">\n",
       "      <!-- 2.00 -->\n",
       "      <g transform=\"translate(322.478817 351.458437)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-50\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"text_10\">\n",
       "     <!-- $\\Delta T_{a}$ ($^{\\circ}}$C) -->\n",
       "     <defs>\n",
       "      <path d=\"M 34.1875 63.1875 \n",
       "L 14.15625 8.203125 \n",
       "L 54.25 8.203125 \n",
       "z\n",
       "M 0.78125 0 \n",
       "L 28.609375 72.90625 \n",
       "L 39.796875 72.90625 \n",
       "L 67.578125 0 \n",
       "z\n",
       "\" id=\"DejaVuSans-916\"/>\n",
       "      <path d=\"M 5.90625 72.90625 \n",
       "L 67.578125 72.90625 \n",
       "L 66.015625 64.59375 \n",
       "L 39.984375 64.59375 \n",
       "L 27.484375 0 \n",
       "L 17.578125 0 \n",
       "L 30.078125 64.59375 \n",
       "L 4.296875 64.59375 \n",
       "z\n",
       "\" id=\"DejaVuSans-Oblique-84\"/>\n",
       "      <path d=\"M 53.71875 31.203125 \n",
       "L 47.609375 0 \n",
       "L 38.625 0 \n",
       "L 40.28125 8.296875 \n",
       "Q 36.328125 3.421875 31.265625 1 \n",
       "Q 26.21875 -1.421875 20.015625 -1.421875 \n",
       "Q 13.03125 -1.421875 8.5625 2.84375 \n",
       "Q 4.109375 7.125 4.109375 13.8125 \n",
       "Q 4.109375 23.390625 11.75 28.953125 \n",
       "Q 19.390625 34.515625 32.8125 34.515625 \n",
       "L 45.3125 34.515625 \n",
       "L 45.796875 36.921875 \n",
       "Q 45.90625 37.3125 45.953125 37.765625 \n",
       "Q 46 38.234375 46 39.203125 \n",
       "Q 46 43.5625 42.453125 45.96875 \n",
       "Q 38.921875 48.390625 32.515625 48.390625 \n",
       "Q 28.125 48.390625 23.5 47.265625 \n",
       "Q 18.890625 46.140625 14.015625 43.890625 \n",
       "L 15.578125 52.203125 \n",
       "Q 20.65625 54.109375 25.515625 55.046875 \n",
       "Q 30.375 56 34.90625 56 \n",
       "Q 44.578125 56 49.625 51.796875 \n",
       "Q 54.6875 47.609375 54.6875 39.59375 \n",
       "Q 54.6875 37.984375 54.4375 35.8125 \n",
       "Q 54.203125 33.640625 53.71875 31.203125 \n",
       "z\n",
       "M 44 27.484375 \n",
       "L 35.015625 27.484375 \n",
       "Q 23.96875 27.484375 18.671875 24.53125 \n",
       "Q 13.375 21.578125 13.375 15.375 \n",
       "Q 13.375 11.078125 16.078125 8.640625 \n",
       "Q 18.796875 6.203125 23.578125 6.203125 \n",
       "Q 30.90625 6.203125 36.375 11.453125 \n",
       "Q 41.84375 16.703125 43.609375 25.484375 \n",
       "z\n",
       "\" id=\"DejaVuSans-Oblique-97\"/>\n",
       "      <path id=\"DejaVuSans-32\"/>\n",
       "      <path d=\"M 31 75.875 \n",
       "Q 24.46875 64.65625 21.28125 53.65625 \n",
       "Q 18.109375 42.671875 18.109375 31.390625 \n",
       "Q 18.109375 20.125 21.3125 9.0625 \n",
       "Q 24.515625 -2 31 -13.1875 \n",
       "L 23.1875 -13.1875 \n",
       "Q 15.875 -1.703125 12.234375 9.375 \n",
       "Q 8.59375 20.453125 8.59375 31.390625 \n",
       "Q 8.59375 42.28125 12.203125 53.3125 \n",
       "Q 15.828125 64.359375 23.1875 75.875 \n",
       "z\n",
       "\" id=\"DejaVuSans-40\"/>\n",
       "      <path d=\"M 31.25 40.921875 \n",
       "Q 27.34375 40.921875 24.65625 38.203125 \n",
       "Q 21.96875 35.5 21.96875 31.59375 \n",
       "Q 21.96875 27.734375 24.65625 25.078125 \n",
       "Q 27.34375 22.421875 31.25 22.421875 \n",
       "Q 35.15625 22.421875 37.84375 25.078125 \n",
       "Q 40.53125 27.734375 40.53125 31.59375 \n",
       "Q 40.53125 35.453125 37.8125 38.1875 \n",
       "Q 35.109375 40.921875 31.25 40.921875 \n",
       "z\n",
       "M 31.25 47.21875 \n",
       "Q 34.375 47.21875 37.25 46.015625 \n",
       "Q 40.140625 44.828125 42.234375 42.578125 \n",
       "Q 44.484375 40.390625 45.609375 37.59375 \n",
       "Q 46.734375 34.8125 46.734375 31.59375 \n",
       "Q 46.734375 25.15625 42.21875 20.6875 \n",
       "Q 37.703125 16.21875 31.15625 16.21875 \n",
       "Q 24.5625 16.21875 20.15625 20.609375 \n",
       "Q 15.765625 25 15.765625 31.59375 \n",
       "Q 15.765625 38.140625 20.25 42.671875 \n",
       "Q 24.75 47.21875 31.25 47.21875 \n",
       "z\n",
       "\" id=\"DejaVuSans-8728\"/>\n",
       "      <path d=\"M 64.40625 67.28125 \n",
       "L 64.40625 56.890625 \n",
       "Q 59.421875 61.53125 53.78125 63.8125 \n",
       "Q 48.140625 66.109375 41.796875 66.109375 \n",
       "Q 29.296875 66.109375 22.65625 58.46875 \n",
       "Q 16.015625 50.828125 16.015625 36.375 \n",
       "Q 16.015625 21.96875 22.65625 14.328125 \n",
       "Q 29.296875 6.6875 41.796875 6.6875 \n",
       "Q 48.140625 6.6875 53.78125 8.984375 \n",
       "Q 59.421875 11.28125 64.40625 15.921875 \n",
       "L 64.40625 5.609375 \n",
       "Q 59.234375 2.09375 53.4375 0.328125 \n",
       "Q 47.65625 -1.421875 41.21875 -1.421875 \n",
       "Q 24.65625 -1.421875 15.125 8.703125 \n",
       "Q 5.609375 18.84375 5.609375 36.375 \n",
       "Q 5.609375 53.953125 15.125 64.078125 \n",
       "Q 24.65625 74.21875 41.21875 74.21875 \n",
       "Q 47.75 74.21875 53.53125 72.484375 \n",
       "Q 59.328125 70.75 64.40625 67.28125 \n",
       "z\n",
       "\" id=\"DejaVuSans-67\"/>\n",
       "      <path d=\"M 8.015625 75.875 \n",
       "L 15.828125 75.875 \n",
       "Q 23.140625 64.359375 26.78125 53.3125 \n",
       "Q 30.421875 42.28125 30.421875 31.390625 \n",
       "Q 30.421875 20.453125 26.78125 9.375 \n",
       "Q 23.140625 -1.703125 15.828125 -13.1875 \n",
       "L 8.015625 -13.1875 \n",
       "Q 14.5 -2 17.703125 9.0625 \n",
       "Q 20.90625 20.125 20.90625 31.390625 \n",
       "Q 20.90625 42.671875 17.703125 53.65625 \n",
       "Q 14.5 64.65625 8.015625 75.875 \n",
       "z\n",
       "\" id=\"DejaVuSans-41\"/>\n",
       "     </defs>\n",
       "     <g transform=\"translate(168.54644 365.136562)scale(0.1 -0.1)\">\n",
       "      <use transform=\"translate(0 0.125)\" xlink:href=\"#DejaVuSans-916\"/>\n",
       "      <use transform=\"translate(68.408203 0.125)\" xlink:href=\"#DejaVuSans-Oblique-84\"/>\n",
       "      <use transform=\"translate(129.492188 -16.28125)scale(0.7)\" xlink:href=\"#DejaVuSans-Oblique-97\"/>\n",
       "      <use transform=\"translate(175.12207 0.125)\" xlink:href=\"#DejaVuSans-32\"/>\n",
       "      <use transform=\"translate(206.90918 0.125)\" xlink:href=\"#DejaVuSans-40\"/>\n",
       "      <use transform=\"translate(246.879883 38.40625)scale(0.7)\" xlink:href=\"#DejaVuSans-8728\"/>\n",
       "      <use transform=\"translate(293.432617 0.125)\" xlink:href=\"#DejaVuSans-67\"/>\n",
       "      <use transform=\"translate(363.256836 0.125)\" xlink:href=\"#DejaVuSans-41\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_2\">\n",
       "    <g id=\"ytick_1\">\n",
       "     <g id=\"line2d_10\">\n",
       "      <defs>\n",
       "       <path d=\"M 0 0 \n",
       "L -3.5 0 \n",
       "\" id=\"mc28ae429f9\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"43.78125\" xlink:href=\"#mc28ae429f9\" y=\"322.034545\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_11\">\n",
       "      <!-- 0.0 -->\n",
       "      <g transform=\"translate(20.878125 325.833764)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_2\">\n",
       "     <g id=\"line2d_11\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"43.78125\" xlink:href=\"#mc28ae429f9\" y=\"249.576951\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_12\">\n",
       "      <!-- 0.5 -->\n",
       "      <g transform=\"translate(20.878125 253.376169)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_3\">\n",
       "     <g id=\"line2d_12\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"43.78125\" xlink:href=\"#mc28ae429f9\" y=\"177.119356\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_13\">\n",
       "      <!-- 1.0 -->\n",
       "      <g transform=\"translate(20.878125 180.918574)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-49\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_4\">\n",
       "     <g id=\"line2d_13\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"43.78125\" xlink:href=\"#mc28ae429f9\" y=\"104.661761\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_14\">\n",
       "      <!-- 1.5 -->\n",
       "      <g transform=\"translate(20.878125 108.460979)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-49\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_5\">\n",
       "     <g id=\"line2d_14\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"43.78125\" xlink:href=\"#mc28ae429f9\" y=\"32.204166\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_15\">\n",
       "      <!-- 2.0 -->\n",
       "      <g transform=\"translate(20.878125 36.003385)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-50\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"text_16\">\n",
       "     <!-- $\\Delta T_2$ ($^{\\circ}}$C) -->\n",
       "     <g transform=\"translate(14.798437 193.98)rotate(-90)scale(0.1 -0.1)\">\n",
       "      <use transform=\"translate(0 0.125)\" xlink:href=\"#DejaVuSans-916\"/>\n",
       "      <use transform=\"translate(68.408203 0.125)\" xlink:href=\"#DejaVuSans-Oblique-84\"/>\n",
       "      <use transform=\"translate(129.492188 -16.28125)scale(0.7)\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "      <use transform=\"translate(176.762695 0.125)\" xlink:href=\"#DejaVuSans-32\"/>\n",
       "      <use transform=\"translate(208.549805 0.125)\" xlink:href=\"#DejaVuSans-40\"/>\n",
       "      <use transform=\"translate(248.520508 38.40625)scale(0.7)\" xlink:href=\"#DejaVuSans-8728\"/>\n",
       "      <use transform=\"translate(295.073242 0.125)\" xlink:href=\"#DejaVuSans-67\"/>\n",
       "      <use transform=\"translate(364.897461 0.125)\" xlink:href=\"#DejaVuSans-41\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_15\">\n",
       "    <path clip-path=\"url(#p960e25cdb7)\" d=\"M 43.78125 322.034545 \n",
       "L 61.171073 302.876226 \n",
       "L 78.560896 283.451528 \n",
       "L 94.501566 266.133539 \n",
       "L 111.891389 247.502871 \n",
       "L 129.281212 228.903839 \n",
       "L 146.671035 211.582094 \n",
       "L 162.611706 195.563629 \n",
       "L 180.001528 177.24042 \n",
       "L 197.391351 159.754421 \n",
       "L 214.781174 148.281553 \n",
       "L 230.721845 131.85281 \n",
       "L 248.111668 113.897618 \n",
       "L 265.50149 95.927375 \n",
       "L 282.891313 77.953913 \n",
       "L 298.831984 61.481494 \n",
       "L 316.221807 43.501253 \n",
       "L 333.61163 25.525455 \n",
       "\" style=\"fill:none;stroke:#1f77b4;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_16\">\n",
       "    <path clip-path=\"url(#p960e25cdb7)\" d=\"M 43.78125 322.034545 \n",
       "L 61.171073 304.455277 \n",
       "L 78.560896 286.839815 \n",
       "L 94.501566 270.757914 \n",
       "L 111.891389 253.248152 \n",
       "L 129.281212 235.74038 \n",
       "L 146.671035 218.400616 \n",
       "L 162.611706 202.484659 \n",
       "L 180.001528 185.005437 \n",
       "L 197.391351 167.635063 \n",
       "L 214.781174 151.77885 \n",
       "L 230.721845 135.841029 \n",
       "L 248.111668 118.451598 \n",
       "L 265.50149 101.059222 \n",
       "L 282.891313 83.66405 \n",
       "L 298.831984 67.715911 \n",
       "L 316.221807 50.314346 \n",
       "L 333.61163 32.909433 \n",
       "\" style=\"fill:none;stroke:#ff7f0e;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_17\">\n",
       "    <path clip-path=\"url(#p960e25cdb7)\" d=\"M 43.78125 322.034545 \n",
       "L 61.171073 304.959121 \n",
       "L 78.560896 287.886543 \n",
       "L 94.501566 272.229253 \n",
       "L 111.891389 255.144285 \n",
       "L 129.281212 238.05299 \n",
       "L 146.671035 220.939153 \n",
       "L 162.611706 205.249762 \n",
       "L 180.001528 188.139457 \n",
       "L 197.391351 171.009871 \n",
       "L 214.781174 156.139327 \n",
       "L 230.721845 140.380081 \n",
       "L 248.111668 123.183043 \n",
       "L 265.50149 105.980402 \n",
       "L 282.891313 88.771011 \n",
       "L 298.831984 72.973734 \n",
       "L 316.221807 55.714045 \n",
       "L 333.61163 38.432175 \n",
       "\" style=\"fill:none;stroke:#2ca02c;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_3\">\n",
       "    <path d=\"M 43.78125 336.86 \n",
       "L 43.78125 10.7 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_4\">\n",
       "    <path d=\"M 333.61163 336.86 \n",
       "L 333.61163 10.7 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_5\">\n",
       "    <path d=\"M 43.78125 336.86 \n",
       "L 333.61163 336.86 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_6\">\n",
       "    <path d=\"M 43.78125 10.7 \n",
       "L 333.61163 10.7 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n",
       "   </g>\n",
       "   <g id=\"legend_1\">\n",
       "    <g id=\"patch_7\">\n",
       "     <path d=\"M 50.78125 62.734375 \n",
       "L 111.140625 62.734375 \n",
       "Q 113.140625 62.734375 113.140625 60.734375 \n",
       "L 113.140625 17.7 \n",
       "Q 113.140625 15.7 111.140625 15.7 \n",
       "L 50.78125 15.7 \n",
       "Q 48.78125 15.7 48.78125 17.7 \n",
       "L 48.78125 60.734375 \n",
       "Q 48.78125 62.734375 50.78125 62.734375 \n",
       "z\n",
       "\" style=\"fill:#ffffff;opacity:0.8;stroke:#cccccc;stroke-linejoin:miter;\"/>\n",
       "    </g>\n",
       "    <g id=\"line2d_18\">\n",
       "     <path d=\"M 52.78125 23.798437 \n",
       "L 72.78125 23.798437 \n",
       "\" style=\"fill:none;stroke:#1f77b4;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    </g>\n",
       "    <g id=\"line2d_19\"/>\n",
       "    <g id=\"text_17\">\n",
       "     <!-- max -->\n",
       "     <defs>\n",
       "      <path d=\"M 52 44.1875 \n",
       "Q 55.375 50.25 60.0625 53.125 \n",
       "Q 64.75 56 71.09375 56 \n",
       "Q 79.640625 56 84.28125 50.015625 \n",
       "Q 88.921875 44.046875 88.921875 33.015625 \n",
       "L 88.921875 0 \n",
       "L 79.890625 0 \n",
       "L 79.890625 32.71875 \n",
       "Q 79.890625 40.578125 77.09375 44.375 \n",
       "Q 74.3125 48.1875 68.609375 48.1875 \n",
       "Q 61.625 48.1875 57.5625 43.546875 \n",
       "Q 53.515625 38.921875 53.515625 30.90625 \n",
       "L 53.515625 0 \n",
       "L 44.484375 0 \n",
       "L 44.484375 32.71875 \n",
       "Q 44.484375 40.625 41.703125 44.40625 \n",
       "Q 38.921875 48.1875 33.109375 48.1875 \n",
       "Q 26.21875 48.1875 22.15625 43.53125 \n",
       "Q 18.109375 38.875 18.109375 30.90625 \n",
       "L 18.109375 0 \n",
       "L 9.078125 0 \n",
       "L 9.078125 54.6875 \n",
       "L 18.109375 54.6875 \n",
       "L 18.109375 46.1875 \n",
       "Q 21.1875 51.21875 25.484375 53.609375 \n",
       "Q 29.78125 56 35.6875 56 \n",
       "Q 41.65625 56 45.828125 52.96875 \n",
       "Q 50 49.953125 52 44.1875 \n",
       "z\n",
       "\" id=\"DejaVuSans-109\"/>\n",
       "      <path d=\"M 34.28125 27.484375 \n",
       "Q 23.390625 27.484375 19.1875 25 \n",
       "Q 14.984375 22.515625 14.984375 16.5 \n",
       "Q 14.984375 11.71875 18.140625 8.90625 \n",
       "Q 21.296875 6.109375 26.703125 6.109375 \n",
       "Q 34.1875 6.109375 38.703125 11.40625 \n",
       "Q 43.21875 16.703125 43.21875 25.484375 \n",
       "L 43.21875 27.484375 \n",
       "z\n",
       "M 52.203125 31.203125 \n",
       "L 52.203125 0 \n",
       "L 43.21875 0 \n",
       "L 43.21875 8.296875 \n",
       "Q 40.140625 3.328125 35.546875 0.953125 \n",
       "Q 30.953125 -1.421875 24.3125 -1.421875 \n",
       "Q 15.921875 -1.421875 10.953125 3.296875 \n",
       "Q 6 8.015625 6 15.921875 \n",
       "Q 6 25.140625 12.171875 29.828125 \n",
       "Q 18.359375 34.515625 30.609375 34.515625 \n",
       "L 43.21875 34.515625 \n",
       "L 43.21875 35.40625 \n",
       "Q 43.21875 41.609375 39.140625 45 \n",
       "Q 35.0625 48.390625 27.6875 48.390625 \n",
       "Q 23 48.390625 18.546875 47.265625 \n",
       "Q 14.109375 46.140625 10.015625 43.890625 \n",
       "L 10.015625 52.203125 \n",
       "Q 14.9375 54.109375 19.578125 55.046875 \n",
       "Q 24.21875 56 28.609375 56 \n",
       "Q 40.484375 56 46.34375 49.84375 \n",
       "Q 52.203125 43.703125 52.203125 31.203125 \n",
       "z\n",
       "\" id=\"DejaVuSans-97\"/>\n",
       "      <path d=\"M 54.890625 54.6875 \n",
       "L 35.109375 28.078125 \n",
       "L 55.90625 0 \n",
       "L 45.3125 0 \n",
       "L 29.390625 21.484375 \n",
       "L 13.484375 0 \n",
       "L 2.875 0 \n",
       "L 24.125 28.609375 \n",
       "L 4.6875 54.6875 \n",
       "L 15.28125 54.6875 \n",
       "L 29.78125 35.203125 \n",
       "L 44.28125 54.6875 \n",
       "z\n",
       "\" id=\"DejaVuSans-120\"/>\n",
       "     </defs>\n",
       "     <g transform=\"translate(80.78125 27.298437)scale(0.1 -0.1)\">\n",
       "      <use xlink:href=\"#DejaVuSans-109\"/>\n",
       "      <use x=\"97.412109\" xlink:href=\"#DejaVuSans-97\"/>\n",
       "      <use x=\"158.691406\" xlink:href=\"#DejaVuSans-120\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"line2d_20\">\n",
       "     <path d=\"M 52.78125 38.476562 \n",
       "L 72.78125 38.476562 \n",
       "\" style=\"fill:none;stroke:#ff7f0e;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    </g>\n",
       "    <g id=\"line2d_21\"/>\n",
       "    <g id=\"text_18\">\n",
       "     <!-- mean -->\n",
       "     <defs>\n",
       "      <path d=\"M 56.203125 29.59375 \n",
       "L 56.203125 25.203125 \n",
       "L 14.890625 25.203125 \n",
       "Q 15.484375 15.921875 20.484375 11.0625 \n",
       "Q 25.484375 6.203125 34.421875 6.203125 \n",
       "Q 39.59375 6.203125 44.453125 7.46875 \n",
       "Q 49.3125 8.734375 54.109375 11.28125 \n",
       "L 54.109375 2.78125 \n",
       "Q 49.265625 0.734375 44.1875 -0.34375 \n",
       "Q 39.109375 -1.421875 33.890625 -1.421875 \n",
       "Q 20.796875 -1.421875 13.15625 6.1875 \n",
       "Q 5.515625 13.8125 5.515625 26.8125 \n",
       "Q 5.515625 40.234375 12.765625 48.109375 \n",
       "Q 20.015625 56 32.328125 56 \n",
       "Q 43.359375 56 49.78125 48.890625 \n",
       "Q 56.203125 41.796875 56.203125 29.59375 \n",
       "z\n",
       "M 47.21875 32.234375 \n",
       "Q 47.125 39.59375 43.09375 43.984375 \n",
       "Q 39.0625 48.390625 32.421875 48.390625 \n",
       "Q 24.90625 48.390625 20.390625 44.140625 \n",
       "Q 15.875 39.890625 15.1875 32.171875 \n",
       "z\n",
       "\" id=\"DejaVuSans-101\"/>\n",
       "      <path d=\"M 54.890625 33.015625 \n",
       "L 54.890625 0 \n",
       "L 45.90625 0 \n",
       "L 45.90625 32.71875 \n",
       "Q 45.90625 40.484375 42.875 44.328125 \n",
       "Q 39.84375 48.1875 33.796875 48.1875 \n",
       "Q 26.515625 48.1875 22.3125 43.546875 \n",
       "Q 18.109375 38.921875 18.109375 30.90625 \n",
       "L 18.109375 0 \n",
       "L 9.078125 0 \n",
       "L 9.078125 54.6875 \n",
       "L 18.109375 54.6875 \n",
       "L 18.109375 46.1875 \n",
       "Q 21.34375 51.125 25.703125 53.5625 \n",
       "Q 30.078125 56 35.796875 56 \n",
       "Q 45.21875 56 50.046875 50.171875 \n",
       "Q 54.890625 44.34375 54.890625 33.015625 \n",
       "z\n",
       "\" id=\"DejaVuSans-110\"/>\n",
       "     </defs>\n",
       "     <g transform=\"translate(80.78125 41.976562)scale(0.1 -0.1)\">\n",
       "      <use xlink:href=\"#DejaVuSans-109\"/>\n",
       "      <use x=\"97.412109\" xlink:href=\"#DejaVuSans-101\"/>\n",
       "      <use x=\"158.935547\" xlink:href=\"#DejaVuSans-97\"/>\n",
       "      <use x=\"220.214844\" xlink:href=\"#DejaVuSans-110\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"line2d_22\">\n",
       "     <path d=\"M 52.78125 53.154687 \n",
       "L 72.78125 53.154687 \n",
       "\" style=\"fill:none;stroke:#2ca02c;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    </g>\n",
       "    <g id=\"line2d_23\"/>\n",
       "    <g id=\"text_19\">\n",
       "     <!-- min -->\n",
       "     <defs>\n",
       "      <path d=\"M 9.421875 54.6875 \n",
       "L 18.40625 54.6875 \n",
       "L 18.40625 0 \n",
       "L 9.421875 0 \n",
       "z\n",
       "M 9.421875 75.984375 \n",
       "L 18.40625 75.984375 \n",
       "L 18.40625 64.59375 \n",
       "L 9.421875 64.59375 \n",
       "z\n",
       "\" id=\"DejaVuSans-105\"/>\n",
       "     </defs>\n",
       "     <g transform=\"translate(80.78125 56.654687)scale(0.1 -0.1)\">\n",
       "      <use xlink:href=\"#DejaVuSans-109\"/>\n",
       "      <use x=\"97.412109\" xlink:href=\"#DejaVuSans-105\"/>\n",
       "      <use x=\"125.195312\" xlink:href=\"#DejaVuSans-110\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "  </g>\n",
       " </g>\n",
       " <defs>\n",
       "  <clipPath id=\"p960e25cdb7\">\n",
       "   <rect height=\"326.16\" width=\"289.83038\" x=\"43.78125\" y=\"10.7\"/>\n",
       "  </clipPath>\n",
       " </defs>\n",
       "</svg>\n"
      ],
      "text/plain": [
       "<Figure size 432x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ax_temp_diff_stat=df_temp_diff_stat.plot()\n",
    "ax_temp_diff_stat.set_ylabel('$\\\\Delta T_2$ ($^{\\\\circ}}$C)')\n",
    "ax_temp_diff_stat.set_xlabel('$\\\\Delta T_{a}$ ($^{\\\\circ}}$C)')\n",
    "ax_temp_diff_stat.set_aspect('equal')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "file_extension": ".py",
  "hide_input": false,
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.2"
  },
  "mimetype": "text/x-python",
  "name": "python",
  "npconvert_exporter": "python",
  "pygments_lexer": "ipython3",
  "toc": {
   "base_numbering": 1,
   "nav_menu": {
    "height": "198px",
    "width": "164px"
   },
   "number_sections": true,
   "sideBar": true,
   "skip_h1_title": true,
   "title_cell": "Table of Contents",
   "title_sidebar": "Contents",
   "toc_cell": false,
   "toc_position": {},
   "toc_section_display": true,
   "toc_window_display": true
  },
  "varInspector": {
   "cols": {
    "lenName": 16,
    "lenType": 16,
    "lenVar": 40
   },
   "kernels_config": {
    "python": {
     "delete_cmd_postfix": "",
     "delete_cmd_prefix": "del ",
     "library": "var_list.py",
     "varRefreshCmd": "print(var_dic_list())"
    },
    "r": {
     "delete_cmd_postfix": ") ",
     "delete_cmd_prefix": "rm(",
     "library": "var_list.r",
     "varRefreshCmd": "cat(var_dic_list()) "
    }
   },
   "types_to_exclude": [
    "module",
    "function",
    "builtin_function_or_method",
    "instance",
    "_Feature"
   ],
   "window_display": false
  },
  "version": 3
 },
 "nbformat": 4,
 "nbformat_minor": 2
}