winter.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "import statsmodels.api as sm\n",
    "import plotly.express as px\n",
    "from temperature.exterior import *"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "temp = get_ext_df('temperature/export')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "temp_int = pd.read_csv(\"temperature/netatmo_temperature_2021-01-01_2021-12-04.csv\")\n",
    "temp_int['date'] = pd.to_datetime(temp_int['date'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.plotly.v1+json": {
       "config": {
        "plotlyServerURL": "https://plot.ly"
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       "data": [
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         "hovertemplate": "date=%{x}<br>temperature=%{y}<extra></extra>",
         "legendgroup": "",
         "line": {
          "color": "#636efa",
          "dash": "solid"
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         "mode": "lines",
         "name": "",
         "showlegend": false,
         "type": "scattergl",
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          17.7,
          18.1,
          18.2,
          17.8,
          17.2,
          16.6,
          16,
          15.4,
          15.6,
          15.9,
          15.7,
          15.9,
          16.6,
          17.2,
          17.8,
          18.5,
          18.4,
          18.1,
          17.8,
          17.9,
          18.3,
          18.3,
          17.8,
          17.9,
          18.2,
          17.8,
          17,
          16.4,
          15.8,
          15.2,
          14.9,
          15.3,
          15.4,
          15.1,
          14.9,
          15.6,
          16.3,
          17,
          18,
          18.3,
          17.9,
          18.7,
          19.2,
          18.8,
          18.1,
          17.8,
          18.4,
          18.3,
          17.8,
          17.5,
          16.9,
          16.3,
          15.7,
          15.4,
          15.9,
          15.9,
          15.5,
          15.5,
          15.9,
          16.3,
          17,
          17.7,
          18.2,
          18,
          17.8,
          18.3,
          18.1,
          17.8,
          18.2,
          18.1,
          17.8,
          18.2,
          18.1,
          17.6,
          17,
          16.4,
          15.8,
          15.3,
          15.9,
          16,
          15.6,
          15.4,
          16.1,
          16.9,
          17.6,
          18.1,
          18.1,
          18.3,
          19,
          19,
          18.5,
          18,
          17.9,
          18.2,
          18,
          18.2,
          18.6,
          18.8,
          18.4,
          18,
          17.5,
          16.9,
          16.3,
          15.8,
          15.3,
          15.4,
          15.7,
          16,
          16.4,
          17,
          17.6,
          18.1,
          18.4,
          18.2,
          18,
          17.8,
          18.1,
          18.1,
          18,
          18.9,
          18.8,
          18.2,
          17.8,
          17.6,
          16.9,
          16.2,
          15.6,
          15.6,
          16,
          15.6,
          15.6,
          16.6,
          17.5,
          18.2,
          17.9,
          18.3,
          18.3,
          18,
          18.1,
          18.4,
          18,
          18.2,
          18.3,
          17.8,
          18.4,
          18.8,
          19.1,
          18.6,
          17.7,
          16.8,
          15.9,
          15.3,
          15.9,
          15.8,
          15.3,
          16.1,
          17.1,
          17.9,
          18.1,
          17.9,
          18.3,
          18.6,
          18.6,
          18.2,
          17.9,
          17.9,
          18.3,
          18.3,
          18.2,
          17.7,
          18,
          17.9,
          17.2,
          16.3,
          15.6,
          15.4,
          15.9,
          15.6,
          15.4,
          16.1,
          16.8,
          17.5,
          18.2,
          18.1,
          17.8,
          18.2,
          18.1,
          17.8,
          18.1,
          18.2,
          18.6,
          19,
          19.2,
          18.6,
          17.7,
          16.9,
          16.1,
          15.5,
          14.9,
          15.3,
          15.6,
          15.3,
          15,
          15.4,
          16.7,
          17.8,
          18.5,
          18.2,
          18,
          18.9,
          19.1,
          18.8,
          18.3,
          17.9,
          18.2,
          18.6,
          18.4,
          17.9,
          17.3,
          16.7,
          16.2,
          15.7,
          15.4,
          15.8,
          16.1,
          15.9,
          15.5,
          15.9,
          17,
          17.8,
          18.3,
          18.1,
          18.1,
          18.4,
          18.3,
          17.9,
          18.2,
          19,
          18.9,
          18.9,
          19.3,
          19.1,
          18.7,
          18.1,
          17.6,
          17.1,
          16.7,
          16.3,
          16,
          15.7,
          15.7,
          16.8,
          17.9,
          18.4,
          18.2,
          17.9,
          17.8,
          18.3,
          19,
          18.9,
          18.5,
          18.1,
          17.9,
          18.2,
          18.3,
          18.1,
          17.9,
          17.5,
          17.2,
          16.9,
          16.7,
          16.5,
          16.3,
          16,
          15.9,
          16.6,
          17.3,
          18,
          18.6,
          18.6,
          18.5,
          18.6,
          18.7,
          18.5,
          18.3,
          18.1,
          18.6,
          19.4,
          19.2,
          18.6,
          17.9,
          17.2,
          16.6,
          16,
          15.5,
          15.4,
          15.9,
          15.9,
          15.6,
          16.1,
          17.1,
          17.9,
          18.3,
          17.9,
          18.1,
          18.8,
          19.2,
          18.9,
          18.8,
          18.4,
          17.8,
          18.4,
          18.3,
          17.7,
          16.9,
          16.2,
          15.5,
          15.6,
          16,
          15.7,
          15.4,
          15.9,
          15.7,
          15.9,
          16.8,
          17.8,
          18,
          17.8,
          17.9,
          18,
          18.1,
          18,
          17.9,
          18.2,
          17.6,
          16.9,
          17.1,
          17.3,
          16.9,
          16.3,
          15.8,
          15.4,
          15.9,
          16,
          15.7,
          15.4,
          15.8,
          16.6,
          17.3,
          18.2,
          18.4,
          17.8,
          18.5,
          19.2,
          19.2,
          19,
          18.7,
          18,
          18,
          18.5,
          18.2,
          17.7,
          17.1,
          16.6,
          16.1,
          15.6,
          15.1,
          14.9,
          15.6,
          15.6,
          15.3,
          15.8,
          17,
          18.1,
          18.4,
          18.1,
          17.9,
          18.5,
          18.5,
          18.1,
          18.1,
          18.6,
          18.3,
          18.4,
          18.3,
          17.9,
          18,
          17.8,
          17.3,
          16.8,
          16.4,
          16,
          15.6,
          15.5,
          16.1,
          16.8,
          17.7,
          18.3,
          18.1,
          18,
          18.4,
          18.4,
          18.2,
          17.9,
          18.3,
          18.5,
          18.1,
          18,
          18.7,
          18.4,
          17.8,
          17.3,
          16.9,
          16.5,
          16.1,
          15.8,
          15.5,
          15.6,
          16.4,
          17.7,
          18.4,
          18.3,
          18.1,
          18,
          17.9,
          18.6,
          19.1,
          19.5,
          19.3,
          19,
          18.7,
          18.4,
          18.3,
          18,
          17.7,
          17.4,
          17.1,
          16.8,
          16.6,
          16.3,
          15.9,
          15.5,
          15.4,
          16.2,
          17,
          18,
          18.6,
          18.5,
          18.3,
          18,
          18,
          18.5,
          18.3,
          18,
          17.8,
          18.2,
          18.4,
          18.2,
          17.8,
          17.4,
          17,
          16.6,
          16.2,
          15.8,
          15.5,
          15.6,
          16.1,
          16.8,
          17.9,
          18.6,
          18.5,
          18.3,
          18.1,
          17.9,
          18.6,
          18.6,
          18.2,
          17.9,
          18.4,
          19.1,
          18.9,
          18.2,
          17.6,
          17,
          16.5,
          15.9,
          15.5,
          15.8,
          16,
          15.7,
          15.4,
          16.3,
          17.4,
          18.2,
          18.1,
          18,
          18.5,
          18.3,
          18,
          17.9,
          18.1,
          18.3,
          17.8,
          18.4,
          18.6,
          18.7,
          19.2,
          18.7,
          17.7,
          16.8,
          16,
          15.3,
          15.7,
          15.8,
          15.4,
          15.7,
          16.7,
          17.7,
          18.4,
          18.1,
          17.9,
          18.2,
          18.6,
          18.8,
          18.3,
          17.9,
          18.2,
          18.2,
          17.8,
          17.2,
          16.5,
          15.8,
          15.3,
          14.9,
          15.4,
          15.4,
          15,
          15.2,
          15.4,
          16,
          16.9,
          17.8,
          18.3,
          18,
          18.2,
          18.3,
          17.8,
          17.2,
          17.5,
          18,
          18.2,
          17.9,
          18,
          18.1,
          17.5,
          16.7,
          16.1,
          15.4,
          15.6,
          15.9,
          15.5,
          15.5,
          15.9,
          16.3,
          17.1,
          17.9,
          18.3,
          18.1,
          17.9,
          18.5,
          18.6,
          18.3,
          17.9,
          18.3,
          18.6,
          18.1,
          17.9,
          18.1,
          17.6,
          17,
          16.4,
          15.8,
          15.4,
          16,
          16,
          15.5,
          15.6,
          16.7,
          17.5,
          18.2,
          18.3,
          18,
          18,
          18.6,
          18.5,
          18.1,
          17.9,
          18.5,
          18.3,
          18.4,
          19.3,
          19.3,
          18.8,
          18.3,
          17.8,
          17.5,
          17.2,
          16.9,
          16.7,
          16.5,
          16.6,
          17.8,
          18.7,
          18.7,
          18.7,
          18.7,
          18.9,
          19,
          19,
          18.9,
          18.7,
          18.6,
          18.4,
          18.3,
          19,
          19.6,
          19.3,
          19,
          18.7,
          18.4,
          18,
          17.6,
          17.3,
          17.1,
          16.8,
          17.2,
          18.2,
          18.8,
          18.8,
          18.6,
          18.7,
          18.6,
          18.5,
          18.1,
          17.8,
          18.1,
          18.5,
          18.4,
          18.1,
          17.7,
          17.3,
          17,
          16.7,
          16.4,
          16.2,
          16,
          15.8,
          15.6,
          15.4,
          16,
          17.2,
          18.4,
          18.8,
          19,
          19.1,
          18.9,
          18.8,
          18.6,
          18.3,
          17.9,
          18.1,
          18.4,
          18.5,
          18.3,
          18,
          17.6,
          17.4,
          17.1,
          16.9,
          16.7,
          16.4,
          16.1,
          15.8,
          16.3,
          17.4,
          18.4,
          18.6,
          18.4,
          18.4,
          18.4,
          18.4,
          18,
          18.1,
          18.5,
          18.4,
          18.2,
          18,
          17.7,
          17.4,
          17.1,
          16.9,
          16.7,
          16.4,
          16.2,
          16,
          15.9,
          15.7,
          16.3,
          17.4,
          18.4,
          18.7,
          18.5,
          18.4,
          18.2,
          18,
          18.1,
          18.7,
          18.5,
          18.1,
          17.9,
          18.3,
          18.4,
          18.1,
          17.8,
          17.4,
          17.1,
          16.7,
          16.4,
          16.1,
          15.9,
          15.7,
          16.2,
          17.4,
          18.5,
          18.9,
          19.1,
          18.9,
          18.9,
          18.9,
          19,
          18.9,
          19.2,
          19.7,
          19.6,
          19.3,
          19.1,
          18.7,
          18.3,
          17.9,
          17.7,
          17.4,
          17.2,
          17,
          16.9,
          16.9,
          18,
          18.6,
          18.7,
          18.8,
          18.8,
          18.9,
          18.9,
          18.7,
          18.4,
          18,
          17.6,
          17.2,
          16.8,
          16.5,
          16.2,
          15.9,
          15.6,
          15.3,
          15,
          14.8,
          14.5,
          14.3,
          14.2,
          14.1,
          13.9,
          13.9,
          14,
          14.3,
          14.6,
          14.8,
          15,
          15.1,
          15.2,
          15.1,
          15,
          14.8,
          14.7,
          14.6,
          14.4,
          14.3,
          14.1,
          14,
          14,
          14.8,
          14.9,
          14.8,
          14.6,
          14.5,
          14.3,
          14.2,
          14.2,
          14.4,
          14.7,
          15,
          15.1,
          15.3,
          15.5,
          15.5,
          15.3,
          15.1,
          15,
          14.9,
          14.7,
          14.6,
          14.5,
          14.4,
          14.3,
          14.1,
          14,
          13.9,
          14.6,
          14.8,
          14.7,
          14.5,
          14.4,
          14.4,
          14.5,
          14.5,
          14.4,
          14.3,
          14.1,
          13.9,
          14.1,
          14.8,
          14.8,
          14.6,
          14.4,
          14.2,
          14,
          14,
          14.6,
          14.8,
          14.5,
          14.3,
          13.9,
          14.2,
          14.6,
          14.4,
          14.1,
          14,
          14.7,
          14.5,
          14.3,
          13.9,
          14.3,
          14.5,
          14.2,
          13.9,
          14.4,
          14.4,
          13.9,
          14.1,
          14.5,
          14.1,
          13.9,
          14.5,
          14.3,
          13.9,
          14.3,
          14.4,
          14,
          14.1,
          15.1,
          16.1,
          16.8,
          17.5,
          18,
          18,
          17.8,
          18.2,
          17.9,
          18,
          18.5,
          18.6,
          17.9,
          16.9,
          16.1,
          15.9,
          16.4,
          16,
          16,
          16.3,
          15.8,
          16.1,
          16.6,
          17,
          17.3,
          17.7,
          17.9,
          17.7,
          17.4,
          17.7,
          18,
          18.1,
          17.7,
          17.6,
          17.8,
          18,
          17.7,
          16.9,
          15.9,
          15.7,
          16,
          16.1,
          15.8,
          16,
          16.1,
          15.7,
          15.9,
          16.4,
          16.8,
          17.2,
          17.5,
          17.9,
          18.1,
          17.6,
          17.5,
          17.9,
          18.1,
          17.9,
          18.1,
          18,
          17.1,
          15.9,
          15.9,
          16.2,
          15.8,
          16.1,
          16,
          15.9,
          16.1,
          15.8,
          16.2,
          16.6,
          17.2,
          17.7,
          18.1,
          17.9,
          17.6,
          17.7,
          17.8,
          17.9,
          17.6,
          17.6,
          17.6,
          17.7,
          17.5,
          16.7,
          15.8,
          15.7,
          15.9,
          16,
          16.1,
          16.1,
          16.1,
          15.7,
          15.8,
          16,
          16.5,
          16.9,
          17.2,
          17.5,
          17.7,
          18.1,
          18.3,
          18.1,
          18,
          17.9,
          18.2,
          17.9,
          18,
          18.4,
          18.4,
          17.4,
          16.2,
          15.8,
          16.2,
          15.8,
          16,
          16.1,
          16.1,
          16.4,
          16.9,
          17.3,
          17.7,
          18,
          18.1,
          17.9,
          18.1,
          18,
          17.7,
          17.7,
          17.7,
          17.9,
          18.1,
          17.9,
          17,
          16,
          15.8,
          16.2,
          15.9,
          15.9,
          16.1,
          16,
          15.9,
          16.3,
          16.7,
          17.4,
          17.9,
          17.5,
          17.1,
          16.9,
          17.6,
          18.1,
          18,
          17.6,
          17.9,
          18.1,
          17.5,
          16.6,
          15.8,
          15.1,
          15,
          15.5,
          15.1,
          14.9,
          15.4,
          15.2,
          15.7,
          16.7,
          17.8,
          18.5,
          18.4,
          18.2,
          18.2,
          18.9,
          18.9,
          18.6,
          18.2,
          17.9,
          18.3,
          18.4,
          18.1,
          17.7,
          17.2,
          16.8,
          16.5,
          16.2,
          15.9,
          16.3,
          16.5,
          16.2,
          16.5,
          17.4,
          18.2,
          18.8,
          18.8,
          18.9,
          19,
          19,
          18.9,
          18.5,
          18.1,
          18,
          18.8,
          18.9,
          18.5,
          18,
          17.4,
          16.9,
          16.6,
          16.2,
          15.9,
          16.2,
          16.8,
          17,
          18,
          18.7,
          18.8,
          18.7,
          18.7,
          18.7,
          18.8,
          18.8,
          18.7,
          18.8,
          18.7,
          18.2,
          17.9,
          18.1,
          18.1,
          17.9,
          17.5,
          17.1,
          16.8,
          16.4,
          16.1,
          15.9,
          16.3,
          16.6,
          17.3,
          18.2,
          18.5,
          18.4,
          18.3,
          18.3,
          18.2,
          18,
          17.9,
          18.5,
          19,
          18.8,
          18.4,
          18,
          17.5,
          17.1,
          16.7,
          16.3,
          15.9,
          16.3,
          16.6,
          16.4,
          16,
          16,
          16.9,
          18.1,
          18.6,
          18.7,
          18.8,
          18.9,
          19.1,
          19.3,
          19.2,
          19,
          18.8,
          18.5,
          18.2,
          17.9,
          17.7,
          17.4,
          17.2,
          16.9,
          16.8,
          16.5,
          16.3,
          16.1,
          15.9,
          16.3,
          16.9,
          17.6,
          18.5,
          18.9,
          19.1,
          19.3,
          19.3,
          19.5,
          19.6,
          19.5,
          19.4,
          19.1,
          18.8,
          18.6,
          18.3,
          18,
          17.8,
          17.5,
          17.3,
          17,
          16.8,
          16.5,
          16.3,
          16.1,
          15.9,
          15.8,
          15.8,
          15.9,
          16.1,
          16.3,
          16.4,
          16.6,
          16.8,
          16.9,
          16.8,
          16.7,
          16.7,
          16.6,
          16.5,
          16.3,
          16.2,
          16.1,
          16,
          15.8,
          15.7,
          15.6,
          15.4,
          15.4,
          15.3,
          15.4,
          15.5,
          15.7,
          16,
          16.3,
          16.4,
          16.5,
          16.6,
          16.6,
          16.6,
          16.5,
          16.5,
          16.4,
          16.4,
          16.4,
          16.4,
          16.4,
          16.3,
          16.2,
          16,
          15.9,
          15.9,
          15.8,
          15.8,
          15.9,
          16.2,
          16.4,
          16.6,
          16.9,
          17.2,
          17.4,
          17.6,
          17.6,
          17.5,
          17.4,
          17.3,
          17.1,
          16.9,
          16.8,
          16.6,
          16.5,
          16.3,
          16.2,
          16,
          15.8,
          15.7,
          15.5,
          15.4,
          15.3,
          15.4,
          15.6,
          15.8,
          16,
          16.2,
          16.4,
          16.6,
          16.8,
          16.8,
          16.7,
          16.6,
          16.4,
          16.3,
          16.2,
          16.1,
          16,
          15.9,
          15.8,
          15.7,
          15.6,
          15.5,
          15.4,
          15.3,
          15.3,
          15.5,
          15.7,
          16,
          16.3,
          16.6,
          16.9,
          17.1,
          17.2,
          17.2,
          17.1,
          17,
          16.9,
          16.8,
          16.7,
          16.5,
          16.4,
          16.2,
          16.1,
          15.9,
          15.7,
          15.5,
          15.2,
          15.1,
          14.9,
          14.9,
          15.1,
          15.4,
          15.6,
          15.8,
          15.9,
          16,
          15.9,
          15.7,
          15.5,
          15.2,
          14.9,
          14.6,
          14.3,
          14,
          13.7,
          13.4,
          13.2,
          12.9,
          12.6,
          12.4,
          12.1,
          11.9,
          11.8,
          11.8,
          11.9,
          12,
          12.2,
          12.3,
          12.4,
          12.5,
          12.6,
          12.5,
          12.4,
          12.2,
          12,
          11.9,
          11.7,
          11.5,
          11.3,
          11.2,
          11,
          10.8,
          10.6,
          10.4,
          10.2,
          10.1,
          10.2,
          10.3,
          10.5,
          10.6,
          10.8,
          11,
          11.1,
          11.3,
          11.4,
          11.4,
          11.3,
          11.3,
          11.1,
          11,
          10.9,
          10.7,
          10.6,
          10.5,
          10.3,
          10.2,
          10,
          9.9,
          9.7,
          9.6,
          9.7,
          9.8,
          10,
          10.2,
          10.5,
          10.8,
          11.3,
          12.7,
          14.4,
          15.7,
          16.6,
          17.4,
          18.2,
          18.2,
          17.7,
          17,
          16.4,
          15.9,
          16.3,
          16.5,
          16.1,
          15.9,
          16.5,
          17.1,
          18.1,
          18.5,
          18.3,
          18.1,
          17.9,
          18.2,
          18.5,
          18.5,
          18.4,
          18.2,
          18.1,
          17.9,
          18.4,
          18.7,
          18.5,
          18.2,
          17.8,
          17.5,
          17.2,
          16.9,
          16.6,
          16.3,
          16.2,
          17.4,
          18.6,
          18.9,
          18.9,
          19.1,
          19.2,
          19.4,
          19.5,
          19.5,
          19.6,
          19.6,
          19.4,
          19.2,
          19.1,
          19,
          18.8,
          18.5,
          18.2,
          18,
          17.7,
          17.3,
          17.1,
          16.9,
          16.9,
          17.7,
          18.5,
          18.8,
          18.9,
          19.1,
          19.3,
          19.6,
          19.6,
          19.4,
          19.2,
          18.9,
          18.6,
          18.3,
          17.9,
          18.1,
          17.8,
          17.4,
          16.9,
          16.4,
          16,
          15.9,
          16.4,
          16.3,
          15.9,
          16.2,
          17.3,
          18.2,
          18.1,
          17.9,
          18.5,
          18.7,
          18.6,
          18.4,
          18,
          18,
          18.1,
          17.9,
          18.3,
          18.1,
          17.3,
          16.4,
          15.9,
          16.3,
          16,
          16,
          16.2,
          15.9,
          16.3,
          16.8,
          17.5,
          18.2,
          17.9,
          18.2,
          18.1,
          18.1,
          18.3,
          17.9,
          18.3,
          18.3,
          17.8,
          17.9,
          18.4,
          18.5,
          19,
          18.7,
          17.8,
          17.9,
          17.5,
          16.6,
          15.9,
          16.2,
          16.2,
          16.5,
          17.4,
          18.1,
          18.4,
          17.9,
          18.4,
          18.3,
          17.9,
          18.4,
          18.4,
          17.9,
          18.3,
          19.2,
          18.9,
          18.5,
          17.7,
          16.8,
          16,
          15.3,
          14.9,
          15.4,
          15.1,
          15,
          15.3,
          15.9,
          17.1,
          18.1,
          18.1,
          18.2,
          18.4,
          17.9,
          18.3,
          18.4,
          18,
          17.8,
          18.1,
          18.7,
          18.5,
          18.3,
          18.3,
          17.6,
          16.9,
          16.2,
          16,
          16.4,
          16.1,
          16,
          16.4,
          17,
          18.1,
          18.2,
          18,
          18.2,
          18.8,
          18.9,
          18.9,
          19,
          18.7,
          18.4,
          17.9,
          18.3,
          19.2,
          19.1,
          18.5,
          17.7,
          17.1,
          16.5,
          16,
          16.2,
          16.5,
          16.2,
          16,
          17.2,
          18.3,
          18.2,
          18.1,
          18.9,
          20,
          20.1,
          19.9,
          19.6,
          19.2,
          18.7,
          18,
          18.1,
          18.9,
          18.7,
          18.3,
          17.8,
          17.3,
          17,
          16.7,
          16.5,
          16.3,
          16.1,
          16.3,
          17.8,
          18.7,
          18.6,
          18.6,
          18.7,
          18.7,
          18.6,
          18.5,
          18.4,
          18.2,
          18,
          18,
          18.4,
          18.5,
          18.6,
          18,
          17.4,
          16.8,
          16.4,
          15.9,
          16.2,
          16.4,
          16.1,
          16,
          16.6,
          17.6,
          18.5,
          19,
          19,
          19.2,
          19.3,
          19.4,
          19,
          18.8,
          19.1,
          19.3,
          18.9,
          18.8,
          18.6,
          18.1,
          17.6,
          17.2,
          16.8,
          16.5,
          16.2,
          16,
          16.1,
          16.6,
          16.4,
          16.6,
          18,
          18.5,
          18.5,
          18.5,
          18.6,
          18.6,
          18.9,
          19.4,
          19.2,
          18.5,
          17.9,
          17.9,
          17.9,
          17.5,
          16.8,
          16.1,
          15.9,
          16.3,
          16.2,
          15.9,
          16.1,
          16.4,
          16.3,
          16.5,
          17.9,
          18.9,
          19.2,
          19.5,
          19.5,
          19.3,
          18.9,
          18.6,
          18.3,
          18.5,
          19.4,
          19.2,
          18.5,
          17.9,
          17.3,
          16.8,
          16.3,
          16,
          16,
          16.7,
          16.6,
          16.3,
          17.1,
          18.4,
          18.8,
          19,
          19.1,
          19,
          18.9,
          18.9,
          18.8,
          18.6,
          18.4,
          18.9,
          19.1,
          18.7,
          18.3,
          18.2,
          17.8,
          17.3,
          16.9,
          16.4,
          16,
          16.1,
          16.5,
          16.4,
          16.9,
          18.1,
          18.9,
          18.9,
          18.7,
          18.6,
          18.5,
          18.2,
          18,
          18.1,
          18.6,
          18.4,
          18,
          17.9,
          18,
          17.7,
          17.2,
          16.7,
          16.4,
          16,
          16.1,
          16.6,
          16.4,
          16.2,
          17.2,
          18.4,
          18.4,
          18.2,
          18.4,
          18.6,
          18.5,
          18.5,
          18.2,
          18,
          18.3,
          17.9,
          18,
          18.5,
          18.2,
          17.6,
          17.1,
          16.6,
          16.1,
          15.9,
          16.4,
          16.4,
          16,
          16.1,
          17.3,
          18.4,
          18.6,
          18.5,
          18.4,
          18.2,
          18.1,
          18.1,
          18,
          17.8,
          18.3,
          18.2,
          18.5,
          19.1,
          19,
          18.3,
          17.5,
          16.9,
          16.4,
          15.9,
          16.1,
          16.4,
          16,
          15.9,
          16.5,
          17.5,
          18.3,
          18.3,
          18.2,
          17.9,
          18.5,
          18.6,
          18.3,
          17.9,
          18.1,
          18,
          18,
          18.4,
          18,
          17.3,
          16.6,
          16,
          16.2,
          16.4,
          15.9,
          16.3,
          16.1,
          16,
          16.5,
          16.8,
          18.2,
          18.8,
          18.9,
          18.7,
          18.4,
          18,
          18,
          18.4,
          18.1,
          17.9,
          18.3,
          18.1,
          17.6,
          17,
          16.5,
          16,
          16.2,
          16.5,
          16.2,
          15.9,
          16.4,
          16.5,
          16.2,
          16.4,
          17.8,
          18.9,
          18.9,
          19,
          19.3,
          19.7,
          19.6,
          19.5,
          19.3,
          18.8,
          18.2,
          18.4,
          19,
          19.2,
          18.8,
          18.1,
          17.5,
          17,
          16.4,
          15.9,
          16.2,
          16.4,
          17,
          18,
          18.8,
          18.8,
          18.6,
          18.6,
          18.8,
          18.9,
          18.9,
          18.8,
          18.6,
          18.2,
          17.6,
          16.9,
          16.4,
          15.9,
          16.4,
          16.4,
          16,
          16.2,
          16.4,
          17.2,
          18.2,
          18.2,
          18,
          17.6,
          17.5,
          17.2,
          17.7,
          18.9,
          19,
          18.8,
          18.3,
          17.9,
          18.1,
          18.7,
          18.6,
          18.1,
          17.6,
          17.1,
          16.7,
          16.2,
          15.9,
          16.3,
          16.6,
          17.4,
          18.1,
          18.1,
          17.9,
          18,
          17.9,
          18.3,
          18.4,
          18.5,
          18.6,
          18.6,
          18.5,
          18.8,
          18.9,
          18.7,
          18.4,
          18.1,
          17.8,
          17.5,
          17.3,
          17.1,
          16.9,
          16.6,
          16.5,
          17.1,
          18.2,
          18.8,
          19,
          19.1,
          19.1,
          19.4,
          19.6,
          19.8,
          19.2,
          18.8,
          19.2,
          18.9,
          18.7,
          18.4,
          17.9,
          17.5,
          17.1,
          16.8,
          16.4,
          16.1,
          15.9,
          16.2,
          16.5,
          18.6,
          17.8,
          18.7,
          19.3,
          19.6,
          19.9,
          20.1,
          20.3,
          20.4,
          20.1,
          19.8,
          19.3,
          19,
          18.8,
          18.3,
          17.8,
          17.4,
          16.8,
          16.3,
          15.9,
          15.5,
          15.2,
          14.9,
          15.4,
          15.9,
          16.9,
          18.1,
          18.7,
          18.8,
          18.8,
          18.9,
          19.2,
          19.2,
          19.2,
          19,
          18.6,
          18.5,
          19,
          18.8,
          18.3,
          17.8,
          17.5,
          17.2,
          16.9,
          16.5,
          16.2,
          15.9,
          15.9,
          16.9,
          17.9,
          18.5,
          18.7,
          18.7,
          19,
          19.1,
          19.1,
          19.2,
          19.2,
          19.3,
          19,
          18.8,
          18.6,
          18.2,
          17.9,
          17.5,
          17.2,
          16.9,
          16.7,
          16.4,
          16.1,
          15.9,
          16.3,
          17.1,
          17.9,
          18.6,
          18.8,
          17.8,
          18.1,
          18.9,
          19.2,
          19.4,
          19.5,
          19.5,
          19.5,
          19.4,
          19.2,
          19,
          18.8,
          18.5,
          18.2,
          17.9,
          17.6,
          17.3,
          17.1,
          16.8,
          17.6,
          18.3,
          18.2,
          18.2,
          18.4,
          18.6,
          18.8,
          19,
          19.3,
          19.5,
          19.7,
          19.8,
          19.7,
          19.5,
          19.5,
          19.4,
          19.1,
          18.8,
          18.5,
          18.3,
          18,
          17.8,
          17.6,
          17.6,
          18.4,
          18.9,
          19.2,
          19.4,
          19.6,
          19.8,
          20,
          20.4,
          20.7,
          20.8,
          21,
          21.3,
          21.3,
          21.3,
          21,
          20.7,
          20.3,
          20,
          19.7,
          19.4,
          19.2,
          18.9,
          18.6,
          18.4,
          18.3,
          18.5,
          18.9,
          19.7,
          20.8,
          21.4,
          21.6,
          21.9,
          22.2,
          22.4,
          22.5,
          22.5,
          22.3,
          21.9,
          21.6,
          21.2,
          20.8,
          20.4,
          20,
          19.5,
          19,
          18.6,
          18.1,
          17.7,
          17.6,
          18.2,
          18.6,
          18.5,
          18.4,
          18.9,
          19.4,
          19.4,
          19.3,
          19.2,
          19.1,
          19,
          18.7,
          18.4,
          18.3,
          18.4,
          18.1,
          17.5,
          17,
          16.6,
          16.3,
          16,
          15.7,
          15.6,
          15.9,
          16.8,
          17.6,
          18.5,
          19,
          19.6,
          19.7,
          19.4,
          19.1,
          18.8,
          18.8,
          18.5,
          18.6,
          18.9,
          18.6,
          18.2,
          17.9,
          17.5,
          17.1,
          16.6,
          16.1,
          15.9,
          15.4,
          15.1,
          15.4,
          16.5,
          17.4,
          18.2,
          18.3,
          18.1,
          18.4,
          18.4,
          18.3,
          18.4,
          19,
          18.9,
          18.5,
          18.7,
          18.4,
          17.9,
          17.3,
          16.8,
          16.3,
          15.8,
          15.3,
          14.9,
          14.5,
          14.2,
          14,
          13.9,
          13.9,
          14.2,
          14.5,
          14.8,
          14.6,
          14.5,
          14.4,
          14.2,
          14.1,
          13.9,
          13.6,
          13.2,
          12.8,
          12.8,
          12.5,
          12.5,
          13,
          12.8,
          12.7,
          12.5,
          12.6,
          12.8,
          12.6,
          13,
          13.3,
          13.8,
          13.9,
          14,
          14.1,
          14.4,
          14.4,
          14.2,
          14.2,
          14,
          13.7,
          13.5,
          13.3,
          13,
          12.7,
          12.9,
          12.8,
          12.4,
          12.8,
          12.7,
          12.5,
          12.5,
          12.9,
          12.9,
          13.2,
          13.3,
          13.5,
          13.5,
          13.6,
          13.8,
          13.9,
          14.1,
          14.2,
          14.1,
          13.8,
          13.6,
          13.6,
          13.5,
          13.5,
          13.3,
          13,
          12.8,
          12.9,
          12.9,
          13,
          12.8,
          12.7,
          12.9,
          13.2,
          13.7,
          14.3,
          14.7,
          15.2,
          15.4,
          15.4,
          15.4,
          15.4,
          15.3,
          15.4,
          16.3,
          16.9,
          17.5,
          17.7,
          17.7,
          17.7,
          17.4,
          16.9,
          16.6,
          16.4,
          16.3,
          16.5,
          17.9,
          18.6,
          18.5,
          18.5,
          18.8,
          19,
          19.4,
          19.6,
          19.6,
          19.4,
          19.2,
          18.9,
          18.6,
          18.6,
          18.7,
          18.4,
          17.9,
          17.5,
          17.2,
          16.9,
          16.6,
          16.3,
          16.2,
          16.2,
          17.4,
          18.3,
          18.7,
          19,
          19.3,
          19.2,
          19.1,
          19.2,
          19.4,
          19.3,
          19.1,
          18.7,
          18.5,
          18.6,
          18.9,
          18.6,
          18.2,
          17.9,
          18.6,
          19.2,
          18.9,
          18.1,
          17.4,
          17.2,
          17.8,
          18.3,
          18.2,
          18,
          18.4,
          18.9,
          18.8,
          18.6,
          18.5,
          19,
          18.9,
          18.5,
          18.6,
          18.6,
          18,
          17.3,
          16.8,
          16.2,
          15.7,
          15.3,
          15.1,
          15.3,
          15.1,
          15.7,
          16.5,
          17.6,
          18.4,
          18.5,
          18.5,
          18.4,
          18.4,
          18.6,
          18.7,
          18.8,
          18.7,
          18.4,
          18.7,
          18.5,
          18,
          17.4,
          17,
          16.5,
          16.1,
          15.6,
          15.2,
          14.9,
          15.4,
          16.1,
          17.1,
          18.1,
          18.2,
          17.9,
          18.2,
          18.2,
          18,
          18.2,
          18.5,
          18.4,
          18.7,
          18.6,
          18.4,
          18.1,
          17.6,
          17.1,
          16.5,
          16,
          15.5,
          15,
          14.5,
          14.1,
          13.7,
          13.5,
          13.7,
          14.2,
          14.4,
          14.9,
          15.5,
          16,
          16.4,
          16.6,
          16.7,
          16.8,
          16.5,
          16.1,
          15.5,
          15.1,
          14.7,
          14.3,
          13.9,
          13.6,
          13.3,
          12.9,
          12.7,
          12.4,
          12.7,
          13.3,
          13.5,
          14,
          14.3,
          14.7,
          15,
          15.5,
          15.8,
          16.1,
          16.2,
          16.3,
          16,
          15.7,
          15.2,
          14.7,
          14.3,
          13.9,
          13.5,
          13.1,
          12.8,
          12.6,
          12.5,
          13,
          13,
          12.8,
          13,
          13.5,
          13.7,
          14.1,
          14.7,
          15.2,
          15.5,
          15.7,
          15.8,
          15.7,
          15.6,
          15.2,
          14.9,
          14.6,
          14.3,
          14.1,
          13.9,
          13.7,
          13.4,
          13.2,
          13,
          12.8,
          12.5,
          12.9,
          13.5,
          14.1,
          14.4,
          14.5,
          14.9,
          15.4,
          15.7,
          15.9,
          16.1,
          16.3,
          16.4,
          16,
          15.6,
          15.2,
          14.8,
          14.5,
          14.1,
          13.8,
          13.5,
          13.1,
          12.8,
          12.6,
          13,
          13.4,
          13.6,
          14.1,
          14.5,
          14.7,
          15,
          15.6,
          16.1,
          16.4,
          16.6,
          16.8,
          16.8,
          16.6,
          16.2,
          15.8,
          15.4,
          15.1,
          14.8,
          14.5,
          14.2,
          13.9,
          13.6,
          13.3,
          13.1,
          13.2,
          13.6,
          14.2,
          14.6,
          14.8,
          15.1,
          15.3,
          15.6,
          15.8,
          16,
          16.4,
          16.7,
          16.6,
          16.4,
          16.1,
          15.8,
          15.5,
          15.3,
          15,
          14.7,
          14.5,
          14.3,
          14.1,
          14,
          14.1,
          14.5,
          15.2,
          15.6,
          15.9,
          16.2,
          16.6,
          17,
          17.3,
          17.7,
          17.9,
          17.9,
          17.7,
          17.5,
          17.1,
          16.8,
          16.5,
          16.3,
          16,
          15.8,
          15.5,
          15.2,
          15,
          14.8,
          14.9,
          15.4,
          16.1,
          16.6,
          17,
          17.7,
          18.4,
          19.1,
          19.4,
          19.5,
          19.8,
          19.6,
          19.4,
          19.1,
          18.7,
          18.3,
          17.9,
          17.5,
          17.1,
          16.8,
          16.4,
          16.1,
          15.7,
          15.4,
          15.3,
          15.7,
          16.3,
          16.6,
          16.7,
          16.9,
          17.1,
          17.2,
          17.4,
          17.5,
          17.8,
          17.9,
          17.7,
          17.3,
          17,
          16.6,
          16.3,
          15.9,
          15.6,
          15.3,
          15,
          14.7,
          14.4,
          14.2,
          14.3,
          14.8,
          15.5,
          15.9,
          16,
          16.2,
          16.4,
          16.6,
          16.8,
          17,
          17.4,
          17.6,
          17.5,
          17.3,
          17,
          16.7,
          16.4,
          16.1,
          15.8,
          15.5,
          15.2,
          14.9,
          14.6,
          14.4,
          14.6,
          15.1,
          15.9,
          16.3,
          16.4,
          16.5,
          16.8,
          17.2,
          17.4,
          17.6,
          18.1,
          18.2,
          18.1,
          17.8,
          17.5,
          17.2,
          17.1,
          16.8,
          16.6,
          16.3,
          16.1,
          15.8,
          15.5,
          15.3,
          15.7,
          17.3,
          18.7,
          18.7,
          18.5,
          18.6,
          18.7,
          18.7,
          18.7,
          18.9,
          19.4,
          19.7,
          19.5,
          19.3,
          18.9,
          18.3,
          17.8,
          17.3,
          16.8,
          16.4,
          16,
          15.7,
          15.3,
          15,
          15.6,
          16.9,
          18.4,
          18.9,
          18.6,
          18.4,
          18.5,
          18.5,
          18.6,
          18.7,
          19.2,
          19.5,
          19.4,
          19,
          18.6,
          18.1,
          17.6,
          17.2,
          16.9,
          16.6,
          16.2,
          15.8,
          15.6,
          15.4,
          16.1,
          17.6,
          18.7,
          19.3,
          19.2,
          19,
          19.1,
          19.1,
          19.2,
          19.4,
          19.9,
          20.2,
          20.1,
          19.8,
          19.4,
          19,
          18.5,
          18.1,
          17.7,
          17.4,
          17.1,
          16.7,
          16.4,
          16.4,
          17.4,
          18.5,
          19.2,
          19.8,
          19.9,
          20.6,
          21.3,
          21.6,
          21.8,
          22,
          21.9,
          21.4,
          21.1,
          20.6,
          20.2,
          19.7,
          19.2,
          18.8,
          18.4,
          18,
          17.7,
          17.3,
          17,
          17,
          18,
          19,
          19,
          19.2,
          19.5,
          19.8,
          20.3,
          21.1,
          21.4,
          21.4,
          20.5,
          20.2,
          20,
          19.5,
          19,
          18.5,
          18.2,
          17.8,
          17.5,
          17.3,
          17,
          16.7,
          16.5,
          16.3,
          16.5,
          18.2,
          19.6,
          20.4,
          21,
          21,
          21.1,
          21.1,
          21.2,
          20.8,
          20.4,
          20,
          19.6,
          19.4,
          19.2,
          19,
          18.6,
          18.2,
          17.9,
          17.5,
          17.3,
          17,
          16.7,
          16.4,
          16.6,
          18.1,
          19.2,
          19.7,
          19.6,
          19.6,
          19.9,
          20,
          19.6,
          19.3,
          19.2,
          19.2,
          18.9,
          18.7,
          18.4,
          18.7,
          18.5,
          18,
          17.5,
          17.1,
          16.7,
          16.3,
          15.9,
          15.6,
          16.1,
          17.9,
          19.3,
          19.9,
          20,
          20.1,
          20.3,
          20.4,
          20.2,
          19.7,
          19.8,
          20,
          19.6,
          19,
          18.6,
          18.1,
          17.6,
          17.3,
          17,
          16.7,
          16.3,
          16,
          15.7,
          15.6,
          16.8,
          18.4,
          19.4,
          20,
          20.1,
          20.3,
          20.6,
          21,
          21.4,
          21.9,
          22.2,
          22.1,
          21.6,
          20.9,
          20.4,
          19.9,
          19.5,
          19,
          18.6,
          18,
          17.6,
          17.3,
          17.1,
          16.9,
          17.7,
          18.8,
          19.2,
          19.5,
          20,
          20.5,
          21.1,
          21.4,
          21.5,
          21.8,
          21.7,
          19.9,
          20.3,
          19.4,
          19.2,
          18.6,
          18.6,
          18.2,
          17.3,
          16.8,
          16.3,
          16.3,
          15.4,
          15.2,
          16.8,
          18,
          19,
          19.5,
          19.5,
          19.7,
          19.9,
          19.9,
          19.9,
          19.8,
          19.9,
          19.4,
          19.1,
          18.7,
          18.4,
          18,
          17.6,
          17.2,
          16.9,
          16.7,
          16.4,
          16.1,
          15.9,
          16,
          16.9,
          18,
          18.5,
          18.4,
          18.6,
          18.7,
          18.8,
          19,
          18.9,
          19,
          19,
          18.9,
          18.9,
          18.7,
          18.1,
          17.7,
          17.4,
          17,
          16.6,
          16.2,
          15.8,
          15.4,
          15.1,
          15,
          15.5,
          17.5,
          19.1,
          19.9,
          20,
          19.8,
          19.7,
          19.8,
          20,
          20.6,
          20.5,
          20.3,
          20.2,
          19.9,
          19.4,
          19,
          18.6,
          18.3,
          17.9,
          17.5,
          17.2,
          17,
          16.8,
          16.7,
          16.9,
          18.2,
          19.2,
          19.8,
          20.4,
          20.8,
          21.4,
          21.8,
          22.2,
          22.7,
          23,
          22.9,
          22.5,
          22,
          21.7,
          21.4,
          21.1,
          20.8,
          20.5,
          20.2,
          20,
          19.8,
          19.7,
          19.6,
          19.7,
          20.1,
          20.8,
          21.7,
          22.3,
          22.7,
          23.1,
          23.4,
          23.9,
          24.1,
          23.9,
          23.5,
          23.2,
          22.9,
          22.7,
          22.5,
          22.3,
          22.2,
          21.9,
          21.6,
          21.3,
          21,
          20.8,
          20.5,
          20.5,
          20.8,
          21.3,
          21.5,
          21.7,
          22,
          22.4,
          22.7,
          23,
          23.6,
          23.9,
          23.6,
          23.5,
          23,
          22.4,
          21.9,
          21.4,
          21,
          20.6,
          20.2,
          19.8,
          19.5,
          19.2,
          19,
          19.3,
          19.8,
          20.6,
          20.9,
          21.1,
          21.3,
          21.5,
          21.9,
          22.5,
          22.8,
          23.1,
          23.4,
          23.1,
          22.4,
          21.8,
          21.3,
          20.8,
          20.3,
          19.8,
          19.4,
          19,
          18.6,
          18.3,
          18.1,
          18.3,
          18.7,
          19.5,
          20.2,
          20.9,
          21.3,
          21.7,
          22.1,
          22.3,
          22.3,
          22.2,
          22.2,
          21.9,
          21.5,
          21,
          20.5,
          20.1,
          19.8,
          19.5,
          19.2,
          18.9,
          18.5,
          18.2,
          18,
          18.1,
          18.5,
          19.1,
          19.9,
          20.4,
          20.6,
          21.1,
          21.7,
          21.7,
          21.8,
          21.6,
          21.5,
          21.3,
          20.8,
          20.3,
          19.9,
          19.5,
          19.2,
          18.9,
          18.6,
          18.2,
          17.9,
          17.7,
          17.6,
          17.6,
          17.5,
          17.5,
          17.8,
          18.5,
          18.9,
          19.5,
          19.7,
          19.9,
          20.1,
          20.3,
          20.1,
          19.8,
          19.5,
          19,
          18.7,
          18.3,
          18,
          17.8,
          17.5,
          17.3,
          17.1,
          16.9,
          16.7,
          16.6,
          16.5,
          16.7,
          17.5,
          18.2,
          18.5,
          19.1,
          19.5,
          20,
          20.4,
          20.6,
          20.5,
          20.3,
          19.8,
          19.4,
          19,
          18.7,
          18.3,
          18,
          17.7,
          17.3,
          17.1,
          16.9,
          16.8,
          17,
          17.5,
          18.1,
          18.7,
          19.3,
          19.7,
          20,
          20.4,
          20.9,
          21.3,
          21.5,
          21.2,
          20.7,
          20.1,
          19.5,
          19.1,
          18.7,
          18.4,
          18,
          17.8,
          17.6,
          17.3,
          17.1,
          17.1,
          17.4,
          17.9,
          18.5,
          19.2,
          19.6,
          19.7,
          19.9,
          20.2,
          20.7,
          21.4,
          21.6,
          21.6,
          20.8,
          19.8,
          19.5,
          19.3,
          19,
          18.6,
          18.3,
          18,
          17.8,
          17.5,
          17.3,
          17.3,
          17.7,
          18.4,
          19.2,
          19.8,
          20.3,
          20.5,
          20.7,
          20.8,
          21,
          21.8,
          21.2,
          21.1,
          21.2,
          20.9,
          20.5,
          19.9,
          19.4,
          19,
          18.7,
          18.4,
          18.2,
          18,
          17.6,
          17.7,
          18.7,
          19.7,
          20.3,
          20.5,
          21.3,
          21.7,
          21.7,
          21.8,
          21.6,
          21.3,
          21.5,
          21.6,
          21.5,
          21.1,
          20.6,
          20.1,
          19.5,
          19.1,
          18.6,
          18.2,
          17.8,
          17.5,
          17.2,
          17.6,
          19.1,
          20,
          20.7,
          21.2,
          21.8,
          21.3,
          21.6,
          22.2,
          22.6,
          22.7,
          22.6,
          22.4,
          22.2,
          21.8,
          21.5,
          21.3,
          20.8,
          20.4,
          20,
          19.7,
          19.4,
          19.1,
          18.8,
          18.6,
          18.7,
          19.4,
          20.4,
          21,
          21.5,
          22,
          22.3,
          22.2,
          22.6,
          23,
          22.9,
          22.5,
          21.9,
          21.7,
          21.3,
          20.8,
          20.3,
          19.8,
          19.3,
          18.9,
          18.6,
          18.4,
          18.2,
          18.1,
          18.3,
          18.9,
          19.7,
          20.3,
          20.9,
          20.9,
          21.1,
          21.3,
          21.5,
          21.1,
          21.1,
          21.4,
          20.8,
          20.5,
          20.1,
          19.7,
          19.4,
          19,
          18.5,
          18.1,
          17.8,
          17.6,
          17.4,
          17.4,
          17.9,
          18.6,
          19.5,
          20.1,
          20.6,
          20.8,
          21.3,
          21.4,
          22.2,
          22.8,
          22.9,
          23,
          22.2,
          21.5,
          21.4,
          21.2,
          20.9,
          20.6,
          20.3,
          19.9,
          19.2,
          18.5,
          18,
          17.7,
          17.5,
          17.8,
          18.4,
          19.3,
          19.7,
          20.3,
          20.6,
          20.8,
          21.3,
          21.2,
          21.7,
          21.4,
          20.8,
          20.5,
          20.1,
          19.6,
          19.3,
          18.8,
          18.4,
          17.9,
          17.5,
          17.2,
          16.9,
          16.8,
          17,
          17.8,
          18.7,
          19.7,
          20.2,
          20.6,
          21.2,
          21.4,
          21.7,
          21.9,
          21.9,
          21.6,
          21.1,
          20.5,
          20,
          19.6,
          19.2,
          18.9,
          18.6,
          18.3,
          18,
          17.7,
          17.5,
          17.4,
          17.5,
          18.1,
          18.9,
          19.5,
          20.2,
          21,
          21.1,
          21,
          21.1,
          21,
          21.1,
          20.8,
          20.6,
          20.4,
          20.1,
          19.7,
          19.4,
          19.1,
          18.8,
          18.4,
          18.1,
          17.7,
          17.4,
          17.7,
          18.3,
          19.2,
          19.9,
          21,
          22.3,
          22.7,
          23.1,
          23.7,
          24,
          23.6,
          23.9,
          23.9,
          23.5,
          23,
          22.3,
          21.7,
          21.3,
          21,
          20.5,
          20.1,
          19.8,
          19.4,
          19.1,
          19.2,
          19.5,
          20.3,
          21.4,
          22.3,
          23.3,
          23.6,
          24.1,
          24.6,
          25.1,
          25.9,
          25.9,
          26,
          25.2,
          23.9,
          23.1,
          22.4,
          21.9,
          19.7,
          20.6,
          19.7,
          19.5,
          19.1,
          19,
          19.2,
          19.8,
          19.6,
          21.6,
          22.6,
          23.3,
          23.8,
          24.2,
          24.8,
          25.4,
          25.6,
          25.5,
          23.9,
          24.9,
          24.3,
          23.5,
          22.8,
          22.1,
          21.8,
          21.6,
          21.3,
          20.9,
          20.5,
          20.1,
          20.2,
          20.3,
          21.5,
          23.6,
          25.4,
          24,
          24.2,
          24.5,
          24.9,
          25.7,
          26.2,
          26.4,
          26.2,
          25.4,
          24.7,
          24.1,
          23.5,
          22.9,
          22.4,
          21.8,
          21.2,
          20.7,
          20.1,
          19.8,
          19.8,
          20.4,
          21.3,
          22.3,
          23.1,
          23.8,
          24.3,
          24.8,
          25.3,
          26,
          26.4,
          26.5,
          26.4,
          25.8,
          25.1,
          24.5,
          24.1,
          23.7,
          23.2,
          22.7,
          22.3,
          21.8,
          21.4,
          21,
          21.1,
          21.7,
          22.4,
          23.2,
          24.4,
          25.6,
          26.4,
          26.8,
          27.5,
          28.5,
          29.1,
          29.3,
          29,
          28.4,
          27.8,
          27.1,
          26.7,
          26.2,
          25.6,
          25,
          24.5,
          23.9,
          23.5,
          23.1,
          23,
          23.3,
          23.9,
          24.9,
          26.3,
          27.4,
          28,
          28.4,
          28.7,
          29.4,
          30.1,
          30.2,
          28.9,
          28.2,
          27.2,
          26.3,
          25.7,
          25.4,
          25,
          24.7,
          24.4,
          24.1,
          23.8,
          23.6,
          23.5,
          23.6,
          24.2,
          24.7,
          25.5,
          26.6,
          27.1,
          27.6,
          28,
          28.1,
          28.2,
          28.3,
          28.3,
          28.4,
          28.2,
          27.7,
          27.2,
          26.7,
          26.3,
          25.9,
          25.6,
          25.3,
          24.9,
          24.6,
          24.5,
          24.3,
          24.5,
          25.3,
          26.3,
          27,
          27.1,
          27.3,
          27.2,
          27.5,
          27.7,
          27.5,
          27.2,
          26.8,
          26.4,
          25.9,
          25.4,
          25,
          24.6,
          24.3,
          24,
          23.7,
          23.3,
          23,
          22.7,
          22.6,
          22.7,
          23.1,
          23.7,
          24.5,
          24.9,
          25.1,
          25.2,
          25.3,
          25.2,
          25.6,
          25.6,
          25.3,
          25,
          24.6,
          24.1,
          23.7,
          23.3,
          22.8,
          22.4,
          22,
          21.6,
          21.3,
          21.4,
          22,
          22.6,
          23.6,
          24.8,
          25.8,
          26.6,
          27.1,
          27.6,
          28.1,
          28.6,
          29,
          28.6,
          27.4,
          26.1,
          25.2,
          24.7,
          24.1,
          23.6,
          23,
          22.3,
          21.7,
          21.1,
          20.7,
          20.6,
          21.1,
          21.7,
          22.7,
          23.9,
          25.1,
          25.8,
          26,
          26.3,
          26.7,
          27.2,
          27.3,
          27.1,
          26.3,
          25.5,
          24.7,
          24.3,
          24,
          23.6,
          23.1,
          22.6,
          22.1,
          21.6,
          21.3,
          21.2,
          21.7,
          22.5,
          23.3,
          24.5,
          25.8,
          26.5,
          27.1,
          27.7,
          27.9,
          27.8,
          27.9,
          27.8,
          27.2,
          26.5,
          25.8,
          25.4,
          25,
          24.5,
          23.9,
          23.3,
          22.8,
          22.3,
          22,
          22.1,
          22.6,
          23.4,
          24.1,
          25.1,
          26.1,
          26.9,
          27.5,
          28.2,
          29,
          29.6,
          29.6,
          29.1,
          28.4,
          27.9,
          27.4,
          27.3,
          27.1,
          26.6,
          26.3,
          25.9,
          25.5,
          25,
          24.5,
          24.1,
          23.9,
          24.3,
          24.9,
          25.9,
          26.7,
          27.4,
          28,
          28.5,
          29,
          28.9,
          29.4,
          29.4,
          28.9,
          28.2,
          27.6,
          27.2,
          26.8,
          26.3,
          25.7,
          25.1,
          24.6,
          24,
          23.6,
          23.7,
          24.2,
          24.6,
          25.1,
          25.9,
          26.9,
          27.7,
          28.5,
          29.1,
          29.7,
          30,
          30.1,
          29.9,
          29.3,
          28.4,
          27.7,
          27.3,
          27,
          26.5,
          26,
          25.3,
          24.7,
          24.2,
          23.8,
          23.7,
          24.1,
          24.8,
          25.4,
          25.8,
          26.6,
          27.4,
          28.1,
          28.1,
          28,
          28.6,
          28.4,
          28.5,
          27.8,
          26.8,
          26.3,
          25.8,
          25.3,
          24.8,
          24.2,
          23.6,
          23,
          22.5,
          22.1,
          22.2,
          22.7,
          23.3,
          24.1,
          25,
          26.4,
          27.2,
          27.8,
          28.5,
          29.3,
          29.7,
          30,
          29.6,
          28.6,
          27.7,
          27.1,
          26.5,
          25.8,
          25.2,
          24.7,
          24.1,
          23.7,
          23.1,
          22.6,
          22.8,
          23.4,
          24.3,
          25.4,
          26.9,
          28.3,
          29.3,
          30,
          30.8,
          31.7,
          32.1,
          32,
          31.9,
          31.1,
          30.3,
          29.5,
          28.9,
          28.2,
          27.7,
          27.1,
          26.5,
          26.1,
          25.5,
          24.9,
          24.6,
          24.8,
          25.3,
          26.2,
          27.5,
          28.9,
          29.9,
          30.6,
          31.4,
          32.1,
          32.4,
          31.9,
          31.8,
          31.2,
          30.5,
          29.8,
          29.3,
          28.8,
          28.3,
          27.8,
          27.3,
          26.8,
          26.3,
          25.9,
          26.1,
          26.5,
          27.2,
          28,
          29,
          30.2,
          31,
          31.7,
          32.5,
          33.2,
          33.6,
          33.5,
          32.8,
          32.4,
          31.9,
          31.4,
          31.1,
          30.7,
          30.3,
          29.9,
          29.6,
          29.2,
          28.7,
          27.8,
          27.4,
          27.5,
          27.5,
          27.8,
          28.5,
          29.4,
          30.2,
          30.7,
          31.3,
          31,
          30.8,
          30.6,
          29.9,
          29.1,
          27.7,
          26.9,
          26.5,
          26.2,
          25.9,
          25.7,
          25.5,
          25.2,
          25,
          24.9,
          25.2,
          25.8,
          26.4,
          26.9,
          27.7,
          28.5,
          29.3,
          29.3,
          29.1,
          29.4,
          29.3,
          29.4,
          29.6,
          29,
          28.4,
          27.6,
          26.7,
          26,
          25.4,
          24.8,
          24.3,
          23.2,
          23.3,
          23.3,
          23.7,
          23.9,
          24.1,
          24.6,
          25,
          25.8,
          27,
          27.8,
          28.3,
          28.5,
          28.3,
          27.9,
          27.5,
          27.3,
          27.1,
          26.1,
          25.2,
          24.9,
          24.8,
          24.7,
          24.4,
          24,
          23.7,
          23.4,
          23.4,
          23.7,
          24.2,
          25.2,
          26.3,
          27.7,
          28.5,
          29.2,
          29.5,
          29.7,
          29.7,
          29.3,
          28.4,
          27.1,
          25.9,
          25.4,
          25,
          24.7,
          24.4,
          24.1,
          23.8,
          23.5,
          23.1,
          22.8,
          22.7,
          22.7,
          23.1,
          23.8,
          24.4,
          25.3,
          26.3,
          27.1,
          27.6,
          28.2,
          28.2,
          27.9,
          28,
          27.6,
          26.6,
          25.8,
          25.2,
          24.7,
          24.2,
          23.7,
          23.4,
          23.1,
          22.9,
          22.7,
          22.5,
          22.5,
          22.6,
          22.8,
          22.8,
          23.3,
          23.3,
          23.1,
          22.9,
          23,
          23.2,
          23.1,
          22.6,
          22.3,
          22.2,
          22.1,
          21.9,
          21.6,
          21.4,
          21.2,
          21,
          20.8,
          20.7,
          20.5,
          20.4,
          20.4,
          20.5,
          20.6,
          20.9,
          21.3,
          21.5,
          21.7,
          22.1,
          22.5,
          22.8,
          22.9,
          23.1,
          22.9,
          22.5,
          22.1,
          21.7,
          21.4,
          21,
          20.7,
          20.5,
          20.3,
          20.2,
          20,
          20,
          20,
          20.3,
          20.7,
          21.3,
          21.8,
          22.9,
          23.9,
          24.1,
          24.5,
          24.8,
          25.1,
          25,
          24.3,
          23.1,
          22.6,
          22.4,
          22.2,
          21.9,
          21.5,
          21.2,
          20.9,
          20.6,
          20.5,
          20.5,
          20.6,
          21.3,
          22.4,
          23.5,
          24.6,
          24.6,
          24.3,
          24.7,
          24.6,
          24.9,
          24.9,
          24.3,
          23.8,
          23,
          23.4,
          23.2,
          22.5,
          22.5,
          22.5,
          22.3,
          22.1,
          21.9,
          21.7,
          21.6,
          21.5,
          21.7,
          22.1,
          22.8,
          23.1,
          23.4,
          23.9,
          24.4,
          24.9,
          25.2,
          25.4,
          25.2,
          25,
          24.7,
          24.4,
          24,
          23.7,
          23.3,
          23,
          22.7,
          22.5,
          22.2,
          22,
          21.9,
          21.9,
          22.1,
          22.5,
          23,
          23.3,
          23.8,
          24.1,
          24.6,
          25.3,
          25.6,
          26.2,
          26.1,
          25.5,
          25.1,
          24.7,
          24.4,
          24.2,
          23.9,
          23.6,
          23.4,
          23.1,
          22.9,
          22.6,
          22.5,
          22.6,
          22.8,
          23.8,
          25.1,
          25.9,
          26.7,
          27.3,
          28.2,
          28.9,
          29.5,
          28.5,
          27.5,
          26.4,
          25.3,
          24.4,
          23.7,
          23.3,
          22.7,
          22.3,
          21.8,
          21.5,
          21,
          20.7,
          20.7,
          21,
          21.4,
          21.9,
          22.5,
          23.4,
          24.1,
          24.8,
          25.1,
          25,
          24.7,
          24.5,
          24.1,
          23.6,
          23.2,
          22.9,
          22.6,
          22.3,
          22.1,
          21.9,
          21.7,
          21.5,
          21.3,
          21.1,
          20.9,
          20.8,
          20.9,
          21.4,
          22,
          22.3,
          23.1,
          23.5,
          23.5,
          23.6,
          23.4,
          23.2,
          22.9,
          22.7,
          22.4,
          22,
          21.8,
          21.7,
          21.5,
          21.4,
          21.2,
          21,
          20.8,
          20.6,
          20.6,
          20.8,
          21.4,
          22.4,
          23.3,
          24,
          24.5,
          25,
          25,
          25,
          25.4,
          25.9,
          25.9,
          25.4,
          24.6,
          24.2,
          23.8,
          23.4,
          23,
          22.7,
          22.3,
          21.9,
          21.6,
          21.3,
          21.4,
          22,
          22.6,
          23.5,
          24.3,
          25.1,
          25.5,
          26.1,
          26.3,
          26.6,
          26.9,
          26.9,
          26.8,
          26.6,
          26.4,
          26.1,
          25.7,
          25.3,
          25,
          24.6,
          24.2,
          23.8,
          23.5,
          23.2,
          23.1,
          23.3,
          23.9,
          24.4,
          24.6,
          24.8,
          25.6,
          26.4,
          26.9,
          27.5,
          27.6,
          27.1,
          27.1,
          26.9,
          26.4,
          25.8,
          25.4,
          24.9,
          24.5,
          24.1,
          23.8,
          23.4,
          23.1,
          22.8,
          22.8,
          22.9,
          23.1,
          23.2,
          24,
          24.8,
          25.5,
          25.8,
          26.4,
          26.2,
          26.1,
          25.9,
          25.4,
          24.7,
          24,
          23.4,
          23.1,
          23.2,
          23.1,
          22.9,
          22.6,
          22.3,
          22,
          21.7,
          21.5,
          21.6,
          21.8,
          22,
          22.5,
          23.2,
          24.3,
          25.2,
          25.7,
          25.9,
          26.2,
          26.3,
          26.1,
          25.5,
          24.7,
          24.2,
          24,
          23.8,
          23.6,
          23.4,
          23.2,
          23,
          22.7,
          22.4,
          22.2,
          22.1,
          22.1,
          22.2,
          22.7,
          23.4,
          24,
          24.6,
          25.2,
          25.7,
          26.1,
          26.1,
          25.6,
          25.1,
          24.6,
          24.2,
          23.7,
          23.2,
          22.6,
          22.2,
          22,
          21.7,
          21.4,
          21.1,
          21.1,
          21.3,
          21.9,
          22.6,
          23.1,
          24.3,
          25,
          24.7,
          24.9,
          25.4,
          25.7,
          25.9,
          25.9,
          25.3,
          24.7,
          24.1,
          23.6,
          23.1,
          22.6,
          22.2,
          21.8,
          21.4,
          21,
          20.7,
          20.7,
          21.6,
          22.5,
          23.5,
          24.6,
          25.3,
          25.7,
          26.6,
          27.1,
          27.7,
          28.2,
          28.6,
          28.6,
          28.3,
          27.8,
          27.2,
          26.7,
          26.2,
          25.8,
          25.4,
          25,
          24.7,
          24.4,
          24.1,
          23.9,
          23.9,
          23.3,
          22.9,
          23,
          23.4,
          24.3,
          25.1,
          25.1,
          24.9,
          25.3,
          25.6,
          25.7,
          25.6,
          25.4,
          25.2,
          24.9,
          24.6,
          24.4,
          24.1,
          23.9,
          23.8,
          23.6,
          23.4,
          23.2,
          23.3,
          23.8,
          24.1,
          24.3,
          24.3,
          24.7,
          25.1,
          25.6,
          26.1,
          26.4,
          26.5,
          26.5,
          26.4,
          26,
          25.6,
          25.1,
          24.6,
          24.2,
          23.9,
          23.7,
          23.4,
          23.1,
          22.8,
          22.7,
          22.8,
          23.2,
          23.8,
          24.7,
          25.8,
          26.4,
          26.8,
          27.1,
          27.8,
          28.1,
          28.2,
          28.1,
          28,
          27.6,
          27.2,
          26.3,
          25.5,
          24.9,
          24.3,
          23.7,
          23.3,
          23,
          22.7,
          22.4,
          22.2,
          22.4,
          22.8,
          23,
          23.3,
          24.1,
          24.7,
          25.2,
          25.7,
          26,
          26.2,
          25.6,
          24.8,
          24.3,
          23.9,
          23.6,
          23.2,
          22.9,
          22.6,
          22.4,
          22.1,
          21.9,
          21.7,
          21.6,
          21.5,
          21.7,
          21.9,
          22.1,
          22.2,
          22.3,
          22.5,
          22.6,
          22.8,
          22.8,
          22.8,
          22.7,
          22.6,
          22.5,
          22.3,
          22.1,
          22,
          21.9,
          21.7,
          21.6,
          21.4,
          21.3,
          21.1,
          21,
          21,
          21.1,
          21.3,
          21.5,
          21.7,
          22.3,
          22.7,
          23.3,
          23.9,
          24.6,
          24.7,
          24.6,
          24.3,
          24.1,
          23.8,
          23.6,
          23.4,
          23.2,
          22.9,
          22.7,
          22.5,
          22.3,
          22.2,
          22.1,
          22,
          22.2,
          22.7,
          23.3,
          24,
          24.4,
          24.7,
          24.9,
          25.1,
          25.2,
          25.4,
          25.6,
          25.4,
          25.2,
          24.8,
          24.3,
          24,
          23.6,
          23.4,
          23.1,
          22.9,
          22.7,
          22.5,
          22.3,
          21.8,
          21.2,
          21,
          21,
          20.9,
          20.9,
          20.9,
          20.9,
          21.2,
          21.8,
          22.5,
          23.2,
          23.4,
          23.3,
          23,
          22.7,
          22.3,
          22,
          21.7,
          21.5,
          21.2,
          20.9,
          20.6,
          20.5,
          20.5,
          20.2,
          20.2,
          20.7,
          21.3,
          21.8,
          22.3,
          22.6,
          22.9,
          23.3,
          23.6,
          23.7,
          23.9,
          23.9,
          23.9,
          23.9,
          23.8,
          23.7,
          23.5,
          23.4,
          23.2,
          23.1,
          22.9,
          22.8,
          22.9,
          23,
          23.3,
          23.6,
          23.9,
          24.3,
          24.5,
          24.8,
          25.1,
          25.4,
          25.6,
          25.8,
          25.9,
          25.9,
          25.8,
          25.7,
          25.5,
          25.4,
          25.1,
          24.9,
          24.7,
          24.4,
          24.2,
          24,
          24,
          24.1,
          24.5,
          25.1,
          25.8,
          26.4,
          26.7,
          27.1,
          27.6,
          27.8,
          28,
          28.1,
          28.1,
          28.1,
          27.9,
          27.8,
          27.6,
          27.4,
          27.3,
          27,
          26.8,
          26.6,
          26.4,
          26.3,
          25.9,
          25.5,
          25.6,
          25.9,
          26.3,
          26.7,
          26.9,
          27.3,
          27.7,
          28.1,
          28.3,
          28.3,
          28.2,
          28,
          27.8,
          27.6,
          27.3,
          27,
          26.7,
          26.3,
          26,
          25.7,
          25.4,
          25.1,
          25,
          25,
          25.3,
          25.8,
          26.4,
          26.9,
          27.4,
          27.8,
          28.2,
          28.5,
          28.7,
          28.9,
          28.8,
          28.7,
          28.3,
          28,
          27.7,
          27.4,
          27,
          26.7,
          26.2,
          25.8,
          25.4,
          25.3,
          25,
          25.1,
          25.4,
          25.9,
          26.4,
          26.8,
          27.1,
          27.5,
          27.9,
          28.3,
          28.5,
          28.6,
          28.6,
          28.4,
          28.1,
          27.8,
          27.5,
          27.1,
          26.7,
          26.2,
          25.7,
          25.3,
          24.8,
          24.5,
          24.5,
          24.6,
          24.9,
          25.5,
          26.2,
          26.7,
          27.2,
          27.7,
          28.2,
          28.5,
          28.8,
          28.9,
          28.8,
          28.6,
          28.4,
          28.2,
          27.9,
          27.6,
          27.3,
          27,
          26.7,
          26.4,
          26,
          25.6,
          25.3,
          25.2,
          25.3,
          25.7,
          26,
          26.3,
          26.6,
          26.7,
          27,
          27.2,
          27.4,
          27.5,
          27.1,
          26.6,
          26.2,
          26,
          25.8,
          25.6,
          25.4,
          25.2,
          24.9,
          24.7,
          24.5,
          24.2,
          24.1,
          24,
          24,
          24.3,
          24.5,
          24.7,
          24.9,
          25.3,
          25.6,
          25.8,
          26,
          26.2,
          25.8,
          25.4,
          25.1,
          24.8,
          24.5,
          24.3,
          24.2,
          23.9,
          23.7,
          23.4,
          23.1,
          22.9,
          22.9,
          22.8,
          22.8,
          23,
          23.2,
          23.5,
          23.7,
          24,
          24.2,
          24.4,
          24.3,
          24.3,
          24.2,
          24.1,
          23.9,
          23.9,
          23.8,
          23.6,
          23.4,
          23.3,
          23.1,
          23,
          22.8,
          22.7,
          22.6,
          22.5,
          22.7,
          22.7,
          22.8,
          23,
          23.2,
          23.3,
          23.5,
          23.6,
          23.7,
          23.6,
          23.6,
          23.5,
          23.3,
          23.1,
          23,
          23,
          23,
          22.9,
          22.9,
          22.8,
          22.7,
          22.6,
          22.6,
          22.5,
          22.5,
          22.6,
          22.7,
          23,
          23.1,
          23.3,
          23.5,
          23.6,
          23.7,
          23.7,
          23.7,
          23.7,
          23.8,
          23.7,
          23.4,
          23.1,
          22.8,
          22.5,
          22.2,
          21.9,
          21.6,
          21.4,
          21.3,
          21.4,
          21.5,
          21.7,
          21.8,
          22.1,
          22.3,
          22.5,
          22.8,
          22.9,
          23,
          23.1,
          23.2,
          23.2,
          23.2,
          23.1,
          23.1,
          23.1,
          23,
          23,
          22.9,
          22.8,
          22.7,
          22.7,
          22.7,
          22.7,
          22.6,
          22.7,
          22.9,
          23.3,
          23.5,
          23.6,
          23.7,
          23.8,
          23.9,
          23.9,
          23.9,
          23.8,
          23.8,
          23.7,
          23.6,
          23.5,
          23.4,
          23.2,
          23.1,
          22.9,
          22.8,
          22.7,
          22.6,
          22.6,
          22.6,
          22.7,
          22.8,
          23,
          23.1,
          23.2,
          23.3,
          23.4,
          23.5,
          23.5,
          23.5,
          23.5,
          23.5,
          23.4,
          23.3,
          23.2,
          23.1,
          23,
          22.9,
          22.8,
          22.7,
          22.5,
          22.5,
          22.6,
          22.6,
          22.7,
          22.9,
          23,
          23.1,
          23.2,
          23.3,
          23.4,
          23.5,
          23.5,
          23.6,
          23.5,
          23.5,
          23.5,
          23.4,
          23.3,
          23.2,
          23.1,
          23,
          22.9,
          22.8,
          22.7,
          22.7,
          22.7,
          22.7,
          22.9,
          23,
          23.1,
          23.3,
          23.4,
          23.5,
          23.6,
          23.6,
          23.6,
          23.6,
          23.6,
          23.5,
          23.3,
          23.2,
          23.1,
          23,
          22.9,
          22.7,
          22.7,
          22.6,
          22.5,
          22.4,
          22.1,
          22,
          22,
          22.1,
          22.3,
          22.3,
          22.3,
          22.4,
          22.4,
          22.4,
          22.3,
          22.4,
          22.4,
          22.4,
          22.3,
          22.3,
          22.2,
          22,
          21.9,
          21.8,
          21.7,
          21.5,
          21.5,
          21.5,
          21.6,
          21.7,
          22,
          22.2,
          22.3,
          22.3,
          22.5,
          22.7,
          23,
          23.2,
          23.2,
          23.2,
          23.1,
          23,
          22.9,
          22.8,
          22.8,
          22.7,
          22.6,
          22.5,
          22.4,
          22.3,
          22.2,
          22.2,
          22.2,
          22.3,
          22.5,
          22.8,
          23,
          23.4,
          23.7,
          23.9,
          24,
          24,
          24,
          23.9,
          23.8,
          23.7,
          23.5,
          23.4,
          23.3,
          23.1,
          23,
          22.9,
          22.8,
          22.7,
          22.6,
          22.5,
          22.5,
          22.6,
          22.8,
          23.1,
          23.3,
          23.6,
          23.9,
          24.1,
          24.3,
          24.4,
          24.5,
          24.5,
          24.4,
          24.2,
          24,
          23.8,
          23.6,
          23.4,
          23.2,
          23,
          22.9,
          22.7,
          22.5,
          22.5,
          22.6,
          22.8,
          23,
          23,
          23.2,
          23.5,
          23.7,
          23.9,
          23.9,
          23.8,
          23.8,
          23.7,
          23.5,
          23.3,
          23.1,
          22.9,
          22.7,
          22.5,
          22.3,
          22.1,
          22,
          21.8,
          21.7,
          21.6,
          21.7,
          21.8,
          22,
          22.3,
          22.5,
          22.7,
          22.9,
          23.1,
          23.2,
          23.3,
          23.3,
          23.3,
          23.2,
          23.1,
          22.9,
          22.8,
          22.7,
          22.5,
          22.4,
          22.2,
          22,
          21.9,
          21.7,
          21.7,
          21.7,
          21.8,
          22,
          22.4,
          22.6,
          23,
          23.1,
          23.3,
          23.4,
          23.6,
          23.6,
          23.4,
          23.3,
          23.4,
          23.3,
          23.2,
          23.1,
          23,
          23,
          22.9,
          22.8,
          22.7,
          22.6,
          22.6,
          22.7,
          22.9,
          23.2,
          23.5,
          23.8,
          24.2,
          24.5,
          24.7,
          24.9,
          25,
          25,
          24.9,
          24.7,
          24.6,
          24.5,
          24.3,
          24.2,
          23.9,
          23.7,
          23.4,
          23.1,
          22.8,
          22.6,
          22.5,
          22.8,
          23,
          23.4,
          23.9,
          24.3,
          24.5,
          24.7,
          24.9,
          25.1,
          25.3,
          25.4,
          25.4,
          25.3,
          25.2,
          25.2,
          25.1,
          24.9,
          24.7,
          24.6,
          24.4,
          24.3,
          24.1,
          23.9,
          23.9,
          24,
          24,
          24.2,
          24.5,
          24.7,
          25,
          25.2,
          25.4,
          25.7,
          25.9,
          26,
          26.1,
          26.1,
          26,
          26,
          25.9,
          25.9,
          25.8,
          25.6,
          25.5,
          25.3,
          25.2,
          25,
          25,
          25.1,
          25.2,
          25.3,
          25.5,
          25.7,
          25.9,
          26.1,
          26.3,
          26.4,
          26.5,
          26.5,
          26.5,
          26.5,
          26.4,
          26.3,
          26.2,
          26,
          25.8,
          25.6,
          25.4,
          25.2,
          25,
          24.8,
          24.8,
          24.9,
          25,
          25.2,
          25.4,
          25.5,
          25.7,
          25.8,
          25.9,
          26,
          26.1,
          26.1,
          26.1,
          26.1,
          26,
          25.9,
          25.8,
          25.7,
          25.6,
          25.5,
          25.3,
          25.2,
          25,
          24.9,
          24.9,
          25,
          25.2,
          25.4,
          25.6,
          25.9,
          26.1,
          26.4,
          26.6,
          26.8,
          26.9,
          27,
          27,
          26.9,
          26.8,
          26.7,
          26.5,
          26.3,
          26.2,
          26,
          25.8,
          25.6,
          25.5,
          25.3,
          25.2,
          25.1,
          25.1,
          25,
          25.2,
          25,
          25.1,
          25.4,
          25.6,
          25.9,
          25.9,
          26,
          25.9,
          25.7,
          25.4,
          25.2,
          24.9,
          24.7,
          24.5,
          24.2,
          24,
          23.8,
          23.5,
          23.3,
          23.2,
          23.3,
          23.5,
          23.7,
          23.8,
          24.1,
          24.1,
          24.3,
          24.4,
          24.4,
          24.4,
          24.4,
          24.3,
          24.1,
          24,
          23.8,
          23.7,
          23.5,
          23.4,
          23.2,
          23.1,
          23,
          22.8,
          22.7,
          22.6,
          22.6,
          22.7,
          22.9,
          23.1,
          23.5,
          23.7,
          23.9,
          24.1,
          24.2,
          24.3,
          24.3,
          24.2,
          24.1,
          24,
          23.9,
          23.8,
          23.7,
          23.6,
          23.5,
          23.3,
          23.2,
          23.1,
          23,
          22.9,
          22.9,
          22.9,
          23,
          23,
          23.1,
          23.3,
          23.4,
          23.5,
          23.5,
          23.3,
          23.1,
          23.1,
          23.2,
          23.2,
          23.1,
          23,
          22.9,
          22.7,
          22.6,
          22.5,
          22.4,
          22.3,
          22.2,
          22.3,
          22.3,
          22.2,
          22.2,
          22.4,
          22.8,
          23.2,
          23.5,
          23.8,
          23.9,
          24,
          24,
          23.9,
          23.8,
          23.6,
          23.6,
          23.5,
          23.5,
          23.4,
          23.3,
          23.2,
          23.1,
          23,
          22.9,
          22.8,
          23,
          23.2,
          23.5,
          23.8,
          24.1,
          24.4,
          24.7,
          24.9,
          25,
          25.1,
          25.2,
          25.2,
          25.1,
          24.9,
          24.5,
          24.4,
          24.3,
          24.1,
          24,
          23.9,
          23.8,
          23.6,
          23.5,
          23.3,
          23.4,
          23.5,
          23.7,
          23.9,
          24.1,
          24.3,
          24.5,
          24.7,
          24.6,
          24.4,
          24.3,
          24.1,
          23.8,
          23.6,
          23.3,
          23.1,
          22.8,
          22.6,
          22.4,
          22.2,
          22.1,
          21.9,
          21.8,
          21.7,
          21.8,
          21.9,
          22.2,
          22.3,
          22.5,
          22.8,
          23,
          23.2,
          23.3,
          23.4,
          23.5,
          23.5,
          23.5,
          23.4,
          23.3,
          23.2,
          23.1,
          22.9,
          22.8,
          22.6,
          22.5,
          22.3,
          22.2,
          22.1,
          22.2,
          22.4,
          22.6,
          22.9,
          23.1,
          23.3,
          23.5,
          23.6,
          23.7,
          23.7,
          23.7,
          23.6,
          23.7,
          23.6,
          23.5,
          23.2,
          23,
          22.8,
          22.6,
          22.5,
          22.3,
          22.1,
          21.9,
          21.8,
          21.9,
          21.9,
          22.1,
          22.3,
          22.5,
          22.7,
          22.8,
          22.9,
          23,
          23,
          23,
          23,
          22.9,
          22.8,
          22.8,
          22.7,
          22.5,
          22.4,
          22.2,
          22,
          21.9,
          21.7,
          21.5,
          21.4,
          21.5,
          21.6,
          21.8,
          22,
          22.2,
          22.5,
          22.7,
          22.9,
          22.9,
          23,
          22.9,
          22.8,
          22.7,
          22.5,
          22.4,
          22.2,
          22.1,
          21.9,
          21.8,
          21.6,
          21.5,
          21.4,
          21.2,
          21.1,
          21,
          21.5,
          21.8,
          22,
          22.2,
          22.4,
          22.6,
          22.7,
          22.8,
          22.8,
          22.8,
          22.8,
          22.7,
          22.5,
          22.4,
          22.2,
          22.1,
          21.9,
          21.7,
          21.5,
          21.3,
          21.2,
          21,
          20.9,
          20.9,
          21.1,
          21.4,
          21.7,
          22,
          22.3,
          22.5,
          22.7,
          22.8,
          22.9,
          23,
          22.9,
          22.8,
          22.7,
          22.5,
          22.3,
          22.2,
          22,
          21.8,
          21.6,
          21.5,
          21.3,
          21.2,
          21.1,
          21.1,
          21.2,
          21.4,
          21.5,
          21.8,
          21.9,
          22.2,
          22.4,
          22.6,
          22.7,
          22.6,
          22.4,
          22,
          21.9,
          21.9,
          21.9,
          21.8,
          21.7,
          21.6,
          21.5,
          21.4,
          21.3,
          21.3,
          21.2,
          21.4,
          21.7,
          21.9,
          22.3,
          22.6,
          22.8,
          23,
          23.2,
          23.4,
          23.5,
          23.4,
          23.2,
          22.8,
          22.7,
          22.7,
          22.6,
          22.5,
          22.4,
          22.3,
          22.2,
          22.1,
          22,
          21.9,
          21.9,
          22,
          22.1,
          22.3,
          22.5,
          22.7,
          22.9,
          23,
          23.2,
          23.3,
          23.3,
          23.2,
          23.1,
          23,
          22.9,
          22.8,
          22.6,
          22.4,
          22.3,
          22.1,
          21.9,
          21.8,
          21.7,
          21.5,
          21.5,
          21.6,
          21.7,
          21.9,
          22.1,
          22.4,
          22.5,
          22.7,
          22.9,
          22.9,
          22.9,
          23,
          23,
          22.6,
          22.5,
          22.4,
          22.2,
          22,
          21.9,
          21.7,
          21.5,
          21.3,
          21.1,
          20.9,
          20.8,
          20.7,
          20.5,
          20.7,
          21,
          21.2,
          21.4,
          21.5,
          21.7,
          21.8,
          21.8,
          21.9,
          22,
          22,
          21.9,
          21.9,
          21.8,
          21.7,
          21.7,
          21.5,
          21.4,
          21.3,
          21.1,
          21,
          20.9,
          21,
          21.1,
          21.3,
          21.5,
          21.8,
          22,
          22.1,
          22.3,
          22.5,
          22.6,
          22.8,
          22.9,
          22.9,
          23.1,
          23.1,
          23.1,
          23.1,
          23,
          22.9,
          22.7,
          22.7,
          22.7,
          22.7,
          22.6,
          22.7,
          22.9,
          23.2,
          23.5,
          23.9,
          24,
          24.1,
          24.2,
          24.3,
          24.4,
          24.7,
          24.9,
          24.8,
          24.9,
          24.9,
          24.7,
          24.5,
          24.3,
          24.3,
          24.2,
          24.1,
          23.9,
          23.8,
          23.8,
          23.8,
          23.9,
          24.1,
          24.3,
          24.6,
          24.8,
          25.1,
          25.2,
          25.2,
          25.3,
          25.4,
          25.4,
          25.5,
          25.4,
          25.2,
          25,
          24.8,
          24.6,
          24.4,
          24.2,
          24,
          23.8,
          23.6,
          23.5,
          23.4,
          23.5,
          23.9,
          24.1,
          24.3,
          24.5,
          24.7,
          24.9,
          25,
          25.2,
          25.4,
          25.6,
          25.8,
          25.7,
          25.6,
          25.4,
          25.2,
          25.1,
          25,
          24.8,
          24.7,
          24.5,
          24.3,
          24.2,
          24.1,
          24.1,
          24.3,
          24.4,
          24.6,
          24.7,
          24.8,
          24.9,
          24.9,
          25,
          25.1,
          25.1,
          25.4,
          25.5,
          25.4,
          25.2,
          25.1,
          25,
          24.9,
          24.8,
          24.6,
          24.5,
          24.3,
          24.2,
          24,
          24,
          24.3,
          24.7,
          24.9,
          25,
          25.1,
          25.3,
          25.4,
          25.5,
          25.7,
          25.8,
          25.8,
          25.8,
          25.7,
          25.6,
          25.5,
          25.3,
          25.2,
          25.1,
          24.9,
          24.8,
          24.7,
          24.7,
          24.6,
          24.5,
          24.6,
          24.7,
          25,
          25.2,
          25.3,
          25.4,
          25.5,
          25.5,
          25.6,
          25.4,
          25.2,
          25.3,
          25.3,
          25.2,
          25,
          24.9,
          24.7,
          24.6,
          24.5,
          24.3,
          24.2,
          24.1,
          24.2,
          24.1,
          24.3,
          24.6,
          24.8,
          25,
          25.2,
          25.3,
          25.4,
          25.4,
          25.3,
          25.1,
          24.8,
          24.5,
          24.3,
          24.2,
          24,
          23.9,
          23.6,
          23.4,
          23.2,
          23,
          22.7,
          22.6,
          22.6,
          22.6,
          22.7,
          22.8,
          23,
          23.5,
          23.9,
          24,
          24,
          24,
          24,
          23.7,
          23.8,
          23.8,
          23.6,
          23.3,
          23.1,
          22.9,
          22.8,
          22.7,
          22.6,
          22.5,
          22.3,
          22.2,
          22.3,
          22.4,
          22.5,
          22.7,
          23,
          23.2,
          23.4,
          23.6,
          23.6,
          23.7,
          23.6,
          23.5,
          23.5,
          23.4,
          23.2,
          23.1,
          23,
          22.8,
          22.7,
          22.6,
          22.4,
          22.2,
          22.1,
          21.9,
          22,
          22.1,
          22.3,
          22.5,
          22.7,
          22.9,
          23,
          23.2,
          23.3,
          23.4,
          23.5,
          23.5,
          23.5,
          23.5,
          23.4,
          23.4,
          23.3,
          23.2,
          23.2,
          23.1,
          23.1,
          23,
          22.9,
          22.8,
          22.9,
          22.9,
          23.1,
          23.4,
          23.7,
          24,
          24.2,
          24.4,
          24.5,
          24.6,
          24.7,
          24.6,
          24.6,
          24.5,
          24.4,
          24.4,
          24.3,
          24.3,
          24.2,
          24.1,
          24.1,
          24,
          23.9,
          24,
          23.9,
          23.7,
          23.7,
          23.7,
          23.8,
          23.9,
          23.9,
          24,
          24,
          24.1,
          24,
          23.8,
          23.8,
          23.7,
          23.4,
          23.1,
          23.1,
          23.1,
          23,
          22.9,
          22.8,
          22.7,
          22.7,
          22.8,
          23.1,
          23.5,
          23.9,
          24,
          24,
          24.1,
          24.3,
          24.5,
          24.5,
          24.5,
          23.8,
          23.2,
          22.8,
          22.8,
          22.5,
          22.2,
          21.9,
          21.7,
          21.5,
          21.2,
          20.9,
          20.7,
          20.4,
          20.1,
          20.1,
          20.2,
          20.4,
          20.7,
          21,
          21.2,
          21.4,
          21.6,
          21.6,
          21.7,
          21.8,
          21.8,
          21.6,
          21.6,
          21.4,
          21.3,
          21.2,
          21,
          20.9,
          20.7,
          20.5,
          20.3,
          20.2,
          20,
          20,
          20.2,
          20.4,
          20.7,
          20.9,
          21.1,
          21.3,
          21.5,
          21.7,
          21.7,
          21.8,
          21.8,
          21.8,
          21.9,
          22.1,
          22.1,
          22.1,
          22.1,
          22,
          22,
          21.9,
          21.9,
          21.8,
          21.7,
          21.7,
          21.7,
          21.8,
          22,
          22.1,
          22.3,
          22.3,
          22.5,
          22.5,
          22.5,
          22.5,
          22.3,
          22,
          21.8,
          21.8,
          21.7,
          21.6,
          21.4,
          21.3,
          21.2,
          21.1,
          21,
          20.9,
          20.8,
          21,
          21.1,
          21.2,
          21.2,
          21.3,
          21.4,
          21.6,
          21.7,
          21.8,
          21.8,
          21.8,
          21.9,
          22,
          21.9,
          21.8,
          21.8,
          21.7,
          21.5,
          21.4,
          21.2,
          21.1,
          20.9,
          20.7,
          20.5,
          20.6,
          20.6,
          20.6,
          20.6,
          20.7,
          20.8,
          20.9,
          21,
          21,
          21,
          20.9,
          20.7,
          20.6,
          20.5,
          20.4,
          20.2,
          20.1,
          19.9,
          19.8,
          19.6,
          19.5,
          19.3,
          19.1,
          19,
          19.1,
          19.2,
          19.3,
          19.5,
          19.6,
          19.8,
          19.9,
          20,
          20,
          20,
          20.1,
          20.4,
          20.6,
          20.5,
          20.3,
          20.2,
          20.1,
          20,
          19.9,
          19.7,
          19.6,
          19.4,
          19.3,
          19.2,
          19.2,
          19.3,
          19.4,
          19.5,
          19.6,
          19.7,
          19.8,
          19.8,
          19.9,
          19.9,
          20.1,
          20.2,
          20.3,
          20.2,
          20.2,
          20.1,
          20,
          19.9,
          19.8,
          19.7,
          19.7,
          19.6,
          19.5,
          19.5,
          19.7,
          19.8,
          19.9,
          20.1,
          20.3,
          20.4,
          20.5,
          20.5,
          20.5,
          20.6,
          20.7,
          20.7,
          20.7,
          20.7,
          20.6,
          20.5,
          20.4,
          20.2,
          20.1,
          20,
          19.8,
          19.7,
          19.5,
          19.4,
          19.4,
          19.5,
          19.8,
          20.2,
          20.4,
          20.6,
          20.7,
          21,
          21.2,
          21.3,
          21.5,
          21.6,
          21.8,
          21.8,
          21.7,
          21.6,
          21.6,
          21.5,
          21.4,
          21.2,
          21.1,
          21,
          20.9,
          20.9,
          20.9,
          21,
          21.3,
          21.6,
          22,
          22.4,
          22.5,
          22.5,
          22.5,
          22.6,
          22.7,
          22.5,
          22.5,
          22.4,
          22.3,
          22.1,
          22,
          21.9,
          21.8,
          21.7,
          21.5,
          21.4,
          21.4,
          21.3,
          21.3,
          21.4,
          21.2,
          21.2,
          21.3,
          21.4,
          21.5,
          21.6,
          21.6,
          21.7,
          21.6,
          21.5,
          21.5,
          21.3,
          21.1,
          21,
          20.8,
          20.6,
          20.4,
          20.2,
          20,
          19.8,
          19.6,
          19.4,
          19.5,
          19.6,
          19.5,
          19.6,
          20.2,
          20.5,
          20.7,
          20.6,
          20.4,
          20.3,
          20.3,
          20.4,
          20.5,
          20.4,
          20.2,
          20.1,
          20,
          19.9,
          19.7,
          19.7,
          19.6,
          19.5,
          19.4,
          19.3,
          19.4,
          19.5,
          19.4,
          19.6,
          19.6,
          19.9,
          20,
          20.1,
          20.1,
          20.2,
          20.2,
          20,
          20,
          19.9,
          19.7,
          19.4,
          19.1,
          18.9,
          18.7,
          18.4,
          18.2,
          18,
          17.8,
          17.7,
          18.3,
          18.8,
          18.9,
          19.1,
          19,
          18.7,
          18.5,
          18.5,
          18.6,
          18.8,
          19.3,
          19.6,
          19.6,
          19.6,
          19.4,
          19.3,
          19.1,
          18.9,
          18.7,
          18.5,
          18.5,
          18.5,
          18.3,
          18.2,
          18.2,
          18.3,
          18.5,
          18.7,
          19,
          19.3,
          19.4,
          19.5,
          19.5,
          19.3,
          19.2,
          19.2,
          19.2,
          19.1,
          19,
          18.9,
          18.8,
          18.7,
          18.6,
          18.5,
          18.4,
          18.4,
          18.4,
          18.3,
          18.3,
          18.3,
          18.4,
          18.6,
          18.7,
          18.7,
          18.7,
          18.7,
          18.9,
          19.2,
          19.2,
          19.2,
          19.1,
          19.1,
          19.1,
          19,
          19,
          19,
          19,
          19,
          18.9,
          18.9,
          18.9,
          18.9,
          18.8,
          18.8,
          18.8,
          18.8,
          18.9,
          18.9,
          19,
          19.1,
          19.3,
          19.3,
          19.4,
          19.5,
          19.4,
          19.4,
          19.3,
          19.1,
          18.9,
          18.7,
          18.5,
          18.3,
          18.1,
          17.9,
          17.9,
          18.4,
          18.7,
          18.1,
          18.1,
          18.3,
          18.4,
          18.6,
          18.8,
          18.9,
          19,
          19.1,
          19.5,
          19.9,
          19.9,
          19.6,
          19.5,
          19.5,
          19.4,
          19.2,
          19.1,
          18.9,
          18.8,
          18.7,
          18.6,
          18.6,
          18.6,
          18.6,
          18.5,
          18.6,
          18.8,
          19,
          19.1,
          19.1,
          19.1,
          19,
          19.6,
          20.4,
          20.9,
          20.6,
          20.2,
          19.9,
          19.6,
          19.4,
          19.2,
          19,
          18.9,
          19.2,
          19.5,
          19.4,
          19.2,
          19,
          19,
          19.1,
          19.3,
          19.4,
          19.4,
          19.4,
          19.4,
          19.3,
          19,
          19.1,
          19.1,
          19,
          18.6,
          18.4,
          18.3,
          18.2,
          18,
          17.9,
          17.8,
          17.7,
          17.8,
          18.3,
          18.2,
          18.2,
          18.3,
          18.5,
          18.7,
          18.8,
          18.9,
          19.1,
          19.1,
          19.1,
          19,
          19,
          19.1,
          19,
          18.9,
          18.7,
          18.6,
          18.4,
          18.3,
          18.1,
          18,
          17.8,
          17.6,
          17.7,
          18.2,
          18.6,
          18.7,
          18.7,
          18.8,
          18.8,
          18.9,
          18.9,
          18.9,
          18.8,
          19,
          19.3,
          19.4,
          19.2,
          19.1,
          19,
          18.9,
          18.8,
          18.6,
          18.5,
          18.3,
          18.1,
          18,
          17.5,
          17.4,
          18.2,
          18.4,
          18.6,
          18.6,
          18.8,
          18.9,
          18.8,
          18.9,
          19.1,
          19.2,
          19.2,
          19.2,
          19.1,
          18.9,
          18.8,
          18.6,
          18.4,
          18.3,
          18.1,
          18,
          17.8,
          17.6,
          17.7,
          18.5,
          18.9,
          18.9,
          18.8,
          18.9,
          18.9,
          19,
          19,
          19,
          19,
          19,
          19.1,
          19.1,
          18.9,
          18.8,
          18.7,
          18.5,
          18.4,
          18.3,
          18.3,
          18.2,
          18.1,
          18.1,
          18,
          18.2,
          18.3,
          18.4,
          18.7,
          19.6,
          20,
          20.1,
          20.1,
          20,
          20,
          19.6,
          19.5,
          19.2,
          19.1,
          18.9,
          18.8,
          18.6,
          18.4,
          18.3,
          18.1,
          17.9,
          17.7,
          17.5,
          18.1,
          18.6,
          18.6,
          18.6,
          18.6,
          18.7,
          18.8,
          18.9,
          18.9,
          18.9,
          18.6,
          18.5,
          19.3,
          20,
          20.5,
          20.2,
          19.7,
          19.4,
          19.2,
          18.9,
          18.7,
          18.5,
          18.3,
          18,
          17.9,
          18.1,
          18.6,
          18.7,
          18.7,
          18.7,
          18.8,
          18.8,
          18.8,
          18.8,
          18.7,
          18.7,
          18.8,
          18.8,
          18.6,
          18.4,
          18.2,
          18,
          17.9,
          17.7,
          17.5,
          17.3,
          17.1,
          17.1,
          17.7,
          18.4,
          18.5,
          18.3,
          18.1,
          17.9,
          17.8,
          17.9,
          18,
          18,
          17.8,
          18.6,
          19.3,
          19.5,
          19.3,
          19,
          18.7,
          18.5,
          18.3,
          18.1,
          17.8,
          17.6,
          17.5,
          17.3,
          17.9,
          18.6,
          18.7,
          18.6,
          18.6,
          18.6,
          18.6,
          18.7,
          18.7,
          18.7,
          18.8,
          19.3,
          19.5,
          19.5,
          19.4,
          19.2,
          19,
          18.9,
          18.7,
          18.5,
          18.4,
          18.2,
          18,
          17.8,
          17.6,
          17.9,
          18.6,
          18.6,
          18.8,
          18.9,
          18.5,
          18.9,
          18.8,
          19,
          19.4,
          19.4,
          19.3,
          19.3,
          19.4,
          19.2,
          19,
          18.8,
          18.5,
          18.3,
          18.1,
          17.8,
          17.6,
          17.4,
          17.7,
          18.7,
          19.1,
          19,
          18.9,
          19,
          19.1,
          19.1,
          19.1,
          19.1,
          19.3,
          19.5,
          19.4,
          19.2,
          19,
          18.9,
          18.6,
          18.4,
          18.2,
          18,
          17.8,
          17.6,
          17.4,
          17.2,
          17.3,
          18,
          18.3,
          18.3,
          18.4,
          18.4,
          18.6,
          18.7,
          18.8,
          18.9,
          18.9,
          19.1,
          19.1,
          19.3,
          19.3,
          19.3,
          19.2,
          19.1,
          19.1,
          19,
          19,
          18.9,
          18.9,
          18.9,
          18.9,
          19.1,
          19.1,
          19.2,
          19.2,
          19.3,
          19.4,
          19.5,
          19.5,
          19.6,
          19.6,
          19.7,
          20.1,
          20.5,
          20.3,
          20.1,
          20,
          19.9,
          19.8,
          19.6,
          19.5,
          19.4,
          19.3,
          19.2,
          19.3,
          19.4,
          19.4,
          19.4,
          19.4,
          19.5,
          19.6,
          19.8,
          19.9,
          20,
          20,
          20,
          20,
          20.1,
          20.1,
          20,
          19.9,
          19.8,
          19.6,
          19.5,
          19.3,
          19.2,
          19,
          18.8,
          18.7,
          18.5,
          18.4,
          18.4,
          18.5,
          18.7,
          18.8,
          18.6,
          18.6,
          18.6,
          18.5,
          18.6,
          18.7,
          18.7,
          18.5,
          18.3,
          18,
          17.8,
          17.5,
          17.3,
          17,
          16.8,
          16.6,
          16.5,
          16.5,
          17.3,
          17.9,
          17.9,
          17.8,
          17.6,
          17.7,
          17.8,
          17.8,
          17.7,
          17.6,
          18.2,
          19.1,
          19.3,
          19.3,
          19.2,
          18.9,
          18.6,
          18.3,
          18.1,
          17.9,
          17.8,
          17.6,
          17.4,
          17.5,
          17.4,
          17.3,
          17.3,
          17.3,
          17.3,
          17.3,
          17.4,
          17.4,
          17.4,
          17.3,
          17.2,
          17.1,
          17,
          16.9,
          16.7,
          16.6,
          16.4,
          16.3,
          16.2,
          16,
          15.8,
          15.7,
          15.5,
          15.3,
          15.2,
          15,
          15,
          14.9,
          14.9,
          15,
          15,
          15.1,
          15.1,
          15.1,
          15.1,
          15,
          15,
          14.9,
          14.9,
          14.8,
          14.8,
          14.7,
          14.6,
          14.5,
          14.5,
          14.5,
          14.4,
          14.4,
          14.4,
          14.4,
          14.4,
          14.5,
          14.6,
          14.7,
          14.8,
          14.9,
          15,
          15,
          15,
          15.1,
          15.1,
          15.1,
          15.1,
          15.1,
          15.1,
          15.1,
          15,
          15,
          15,
          14.9,
          14.8,
          14.8,
          14.7,
          14.7,
          14.8,
          14.9,
          15,
          15.1,
          15.3,
          15.4,
          15.5,
          15.5,
          15.6,
          15.6,
          15.6,
          15.6,
          15.6,
          15.7,
          15.6,
          15.6,
          15.6,
          15.5,
          15.5,
          15.4,
          15.3,
          15.3,
          15.2,
          15.2,
          15.2,
          15.2,
          15.3,
          15.3,
          15.4,
          15.5,
          15.5,
          15.5,
          15.5,
          15.5,
          15.5,
          15.5,
          15.5,
          15.4,
          15.4,
          15.3,
          15.3,
          15.2,
          15.1,
          15,
          15,
          14.9,
          14.8,
          14.7,
          14.7,
          14.8,
          14.9,
          15,
          15.2,
          15.4,
          15.5,
          15.5,
          15.6,
          15.6,
          15.6,
          15.6,
          15.6,
          15.6,
          15.5,
          15.5,
          15.5,
          15.4,
          15.4,
          15.3,
          15.2,
          15.2,
          15.2,
          15.2,
          15.2,
          15.3,
          15.3,
          15.4,
          15.5,
          15.5,
          15.6,
          15.6,
          15.6,
          15.6,
          15.6,
          15.6,
          15.6,
          15.6,
          15.6,
          15.6,
          15.6,
          15.6,
          15.6,
          15.6,
          15.6,
          15.6,
          15.6,
          15.6,
          15.7,
          15.8,
          15.9,
          16,
          16,
          16.1,
          16.1,
          16.2,
          16.2,
          16.1,
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          18,
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   "metadata": {},
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   "source": [
    "def add_dim_installation(x):\n",
    "    if x > datetime.strptime(\"2021-07-17\", \"%Y-%m-%d\"):\n",
    "        return 1\n",
    "    else: \n",
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   "metadata": {},
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    "gaz['dimension'] = gaz['date'].apply(add_dim_installation)"
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    "scatter.show()"
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  {
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   "execution_count": 45,
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   "source": [
    "def run_regression(df, x, y):\n",
    "    X = df[x]\n",
    "    Y = df[y]\n",
    "    X = sm.add_constant(X)\n",
    "    model = sm.OLS(Y, X).fit()\n",
    "    return model.summary()"
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   "execution_count": 46,
   "metadata": {},
   "outputs": [
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       "      <td>11.266132</td>\n",
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       "    <tr>\n",
       "      <th>1</th>\n",
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       "             volume     energy       temp\n",
       "dimension                                \n",
       "0          3.050847  34.576271  11.266132\n",
       "1          2.214286  25.267857  10.517003"
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    "df_merge[df_merge.date.dt.month.isin([10,11])].groupby('dimension').mean()"
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  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {},
   "outputs": [
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       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2021-01</th>\n",
       "      <td>7.806452</td>\n",
       "      <td>87.774194</td>\n",
       "      <td>5.067602</td>\n",
       "      <td>0.000000</td>\n",
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       "    <tr>\n",
       "      <th>2020-12</th>\n",
       "      <td>6.258065</td>\n",
       "      <td>69.677419</td>\n",
       "      <td>6.977560</td>\n",
       "      <td>0.000000</td>\n",
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       "    <tr>\n",
       "      <th>2021-02</th>\n",
       "      <td>5.107143</td>\n",
       "      <td>59.642857</td>\n",
       "      <td>6.989130</td>\n",
       "      <td>0.000000</td>\n",
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       "      <td>40.760000</td>\n",
       "      <td>7.864870</td>\n",
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       "      <th>2021-03</th>\n",
       "      <td>5.516129</td>\n",
       "      <td>61.451613</td>\n",
       "      <td>8.965498</td>\n",
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       "      <th>2020-11</th>\n",
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       "      <td>9.808139</td>\n",
       "      <td>0.000000</td>\n",
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       "      <td>10.154203</td>\n",
       "      <td>0.000000</td>\n",
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       "      <th>2020-10</th>\n",
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       "      <td>19.967742</td>\n",
       "      <td>12.583029</td>\n",
       "      <td>0.000000</td>\n",
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       "      <th>2021-09</th>\n",
       "      <td>0.200000</td>\n",
       "      <td>4.933333</td>\n",
       "      <td>18.765797</td>\n",
       "      <td>1.000000</td>\n",
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       "      <td>7.433333</td>\n",
       "      <td>18.880000</td>\n",
       "      <td>0.000000</td>\n",
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       "      <th>2021-08</th>\n",
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       "      <td>2.451613</td>\n",
       "      <td>19.176999</td>\n",
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       "      <th>2021-06</th>\n",
       "      <td>0.033333</td>\n",
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       "      <td>20.209855</td>\n",
       "      <td>0.000000</td>\n",
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       "      <td>0.096774</td>\n",
       "      <td>3.387097</td>\n",
       "      <td>20.268811</td>\n",
       "      <td>0.451613</td>\n",
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       "              volume     energy       temp  dimension\n",
       "year_month                                           \n",
       "2021-01     7.806452  87.774194   5.067602   0.000000\n",
       "2020-12     6.258065  69.677419   6.977560   0.000000\n",
       "2021-02     5.107143  59.642857   6.989130   0.000000\n",
       "2021-11     3.640000  40.760000   7.864870   1.000000\n",
       "2021-03     5.516129  61.451613   8.965498   0.000000\n",
       "2020-11     4.535714  50.750000   9.808139   0.000000\n",
       "2021-04     2.433333  27.833333  10.154203   0.000000\n",
       "2020-10     1.709677  19.967742  12.583029   0.000000\n",
       "2021-10     1.064516  12.774194  12.655820   1.000000\n",
       "2021-05     1.000000  11.000000  13.330435   0.000000\n",
       "2021-09     0.200000   4.933333  18.765797   1.000000\n",
       "2020-09     0.666667   7.433333  18.880000   0.000000\n",
       "2021-08     0.000000   2.451613  19.176999   1.000000\n",
       "2021-06     0.033333   3.366667  20.209855   0.000000\n",
       "2021-07     0.096774   3.387097  20.268811   0.451613\n",
       "2020-08     0.000000   1.419355  22.473232   0.000000\n",
       "2020-07     0.000000   1.666667  24.572464   0.000000"
      ]
     },
     "execution_count": 52,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df_merge['year_month'] = df_merge['date'].dt.strftime('%Y-%m')\n",
    "df_merge.groupby('year_month').mean().sort_values(by='temp')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table class=\"simpletable\">\n",
       "<caption>OLS Regression Results</caption>\n",
       "<tr>\n",
       "  <th>Dep. Variable:</th>         <td>energy</td>      <th>  R-squared:         </th> <td>   0.695</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Model:</th>                   <td>OLS</td>       <th>  Adj. R-squared:    </th> <td>   0.683</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Method:</th>             <td>Least Squares</td>  <th>  F-statistic:       </th> <td>   56.99</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Date:</th>             <td>Tue, 30 Nov 2021</td> <th>  Prob (F-statistic):</th> <td>1.27e-13</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Time:</th>                 <td>21:41:19</td>     <th>  Log-Likelihood:    </th> <td> -202.44</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>No. Observations:</th>      <td>    53</td>      <th>  AIC:               </th> <td>   410.9</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Df Residuals:</th>          <td>    50</td>      <th>  BIC:               </th> <td>   416.8</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Df Model:</th>              <td>     2</td>      <th>                     </th>     <td> </td>   \n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Covariance Type:</th>      <td>nonrobust</td>    <th>                     </th>     <td> </td>   \n",
       "</tr>\n",
       "</table>\n",
       "<table class=\"simpletable\">\n",
       "<tr>\n",
       "      <td></td>         <th>coef</th>     <th>std err</th>      <th>t</th>      <th>P>|t|</th>  <th>[0.025</th>    <th>0.975]</th>  \n",
       "</tr>\n",
       "<tr>\n",
       "  <th>const</th>     <td>  108.8454</td> <td>    6.094</td> <td>   17.862</td> <td> 0.000</td> <td>   96.606</td> <td>  121.085</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>temp</th>      <td>   -5.9232</td> <td>    0.581</td> <td>  -10.186</td> <td> 0.000</td> <td>   -7.091</td> <td>   -4.755</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>dimension</th> <td>  -21.5003</td> <td>    3.323</td> <td>   -6.471</td> <td> 0.000</td> <td>  -28.174</td> <td>  -14.826</td>\n",
       "</tr>\n",
       "</table>\n",
       "<table class=\"simpletable\">\n",
       "<tr>\n",
       "  <th>Omnibus:</th>       <td>22.121</td> <th>  Durbin-Watson:     </th> <td>   1.947</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Prob(Omnibus):</th> <td> 0.000</td> <th>  Jarque-Bera (JB):  </th> <td>  35.443</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Skew:</th>          <td>-1.370</td> <th>  Prob(JB):          </th> <td>2.01e-08</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Kurtosis:</th>      <td> 5.923</td> <th>  Cond. No.          </th> <td>    38.8</td>\n",
       "</tr>\n",
       "</table><br/><br/>Notes:<br/>[1] Standard Errors assume that the covariance matrix of the errors is correctly specified."
      ],
      "text/plain": [
       "<class 'statsmodels.iolib.summary.Summary'>\n",
       "\"\"\"\n",
       "                            OLS Regression Results                            \n",
       "==============================================================================\n",
       "Dep. Variable:                 energy   R-squared:                       0.695\n",
       "Model:                            OLS   Adj. R-squared:                  0.683\n",
       "Method:                 Least Squares   F-statistic:                     56.99\n",
       "Date:                Tue, 30 Nov 2021   Prob (F-statistic):           1.27e-13\n",
       "Time:                        21:41:19   Log-Likelihood:                -202.44\n",
       "No. Observations:                  53   AIC:                             410.9\n",
       "Df Residuals:                      50   BIC:                             416.8\n",
       "Df Model:                           2                                         \n",
       "Covariance Type:            nonrobust                                         \n",
       "==============================================================================\n",
       "                 coef    std err          t      P>|t|      [0.025      0.975]\n",
       "------------------------------------------------------------------------------\n",
       "const        108.8454      6.094     17.862      0.000      96.606     121.085\n",
       "temp          -5.9232      0.581    -10.186      0.000      -7.091      -4.755\n",
       "dimension    -21.5003      3.323     -6.471      0.000     -28.174     -14.826\n",
       "==============================================================================\n",
       "Omnibus:                       22.121   Durbin-Watson:                   1.947\n",
       "Prob(Omnibus):                  0.000   Jarque-Bera (JB):               35.443\n",
       "Skew:                          -1.370   Prob(JB):                     2.01e-08\n",
       "Kurtosis:                       5.923   Cond. No.                         38.8\n",
       "==============================================================================\n",
       "\n",
       "Notes:\n",
       "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n",
       "\"\"\""
      ]
     },
     "execution_count": 48,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "run_regression(df_merge[df_merge.date.dt.month.isin([11])], ['temp', 'dimension'], ['energy'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
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