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subinium/everything-you-can-do-with-a-time-series.ipynb

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everything-you-can-do-with-a-time-series.ipynb
{
"cells": [
{
"cell_type": "markdown",
"metadata": {
"_cell_guid": "b1076dfc-b9ad-4769-8c92-a6c4dae69d19",
"_uuid": "8f2839f25d086af736a60e9eeb907d3b93b6e0e5",
"collapsed": true
},
"source": [
"본 커널은 @thebrownviking님의 [Everything you can do with a time series](https://www.kaggle.com/thebrownviking20/everything-you-can-do-with-a-time-series?fbclid=IwAR2bO4aJEY5M9GZPfrpzqS2dRwbbE9o6kkjPvEvDj7WyaGyW8sVjOh2DgQ8)을 번역한 커널입니다.\n",
"\n",
"> 최종 업데이트 : 2019.05.21\n",
"\n",
"# Aim\n",
"\n",
"이 플랫폼을 시작한 첫 주부터 저는 **시계열 분석**이라는 주제에 매료되었습니다. 이 커널을 시계열 분석에서 다양한 주제를 다루기 위해 만든 커널입니다. 저는 시계열 분석에서 초보자와 숙련자 모두에게 ultimate reference(궁극적 레퍼런스)를 만들고 싶었습니다.\n",
"\n",
"\n",
"\n",
"# Some important things\n",
"1. 이 커널은 현재진행형으로, home feed에서 볼 때마다 새로운 컨텐츠를 확인하실 수 있을 것입니다.\n",
"2. 다양한 과정을 마친 후, 이 분야에 집중하고 있습니다. advanced한 내용을 전달하기 위해 더 연구하고 있습니다.\n",
"3. 특정 주제에 대한 제안은 친절한 댓글을 통해 부탁드립니다.\n",
"4. 만약 이 커널이 도움이 됬다면 커널에 upvote를 눌러주세요."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 역자의 말\n",
"\n",
"**안수빈(@subinium)** 이 번역한 커널입니다.\n",
"\n",
"- 일부 단어는 그 의미를 살리기 위해 번역하지 않고 사용했습니다.\n",
"- 소제목은 의미를 더 확실하게 전하기 위해 원문을 그대로 가져왔습니다.\n",
"- 메서드나 주제에서 설명이 부족한 경우, 추가한 내용이 있습니다.\n",
"- 모델 부분은 설명이 부족하고, 코드에 대한 주석이 없어 이해가 힘들 수 있습니다.\n",
"- 상태 공간 모델의 경우, 제가 시계열 분석에 대한 이해가 부족해 더 자세하게 번역하지 못했습니다."
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"_cell_guid": "79c7e3d0-c299-4dcb-8224-4455121ee9b0",
"_kg_hide-input": false,
"_kg_hide-output": false,
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"scrolled": true
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"outputs": [
{
"data": {
"text/html": [
" <script type=\"text/javascript\">\n",
" window.PlotlyConfig = {MathJaxConfig: 'local'};\n",
" if (window.MathJax) {MathJax.Hub.Config({SVG: {font: \"STIX-Web\"}});}\n",
" if (typeof require !== 'undefined') {\n",
" require.undef(\"plotly\");\n",
" requirejs.config({\n",
" paths: {\n",
" 'plotly': ['https://cdn.plot.ly/plotly-latest.min']\n",
" }\n",
" });\n",
" require(['plotly'], function(Plotly) {\n",
" window._Plotly = Plotly;\n",
" });\n",
" }\n",
" </script>\n",
" "
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"['stock-time-series-20050101-to-20171231', 'historical-hourly-weather-data']\n"
]
}
],
"source": [
"# Importing libraries\n",
"import os\n",
"import warnings\n",
"warnings.filterwarnings('ignore')\n",
"import numpy as np \n",
"import pandas as pd\n",
"import matplotlib.pyplot as plt\n",
"plt.style.use('fivethirtyeight') \n",
"\n",
"# Above is a special style template for matplotlib, highly useful for visualizing time series data\n",
"%matplotlib inline\n",
"from pylab import rcParams\n",
"from plotly import tools\n",
"import plotly.plotly as py\n",
"from plotly.offline import init_notebook_mode, iplot\n",
"init_notebook_mode(connected=True)\n",
"import plotly.graph_objs as go\n",
"import plotly.figure_factory as ff\n",
"import statsmodels.api as sm\n",
"\n",
"from numpy.random import normal, seed\n",
"\n",
"from scipy.stats import norm\n",
"from statsmodels.tsa.arima_model import ARMA\n",
"from statsmodels.tsa.stattools import adfuller\n",
"from statsmodels.graphics.tsaplots import plot_acf, plot_pacf\n",
"from statsmodels.tsa.arima_process import ArmaProcess\n",
"from statsmodels.tsa.arima_model import ARIMA\n",
"\n",
"import math\n",
"from sklearn.metrics import mean_squared_error\n",
"\n",
"print(os.listdir(\"../input\"))"
]
},
{
"cell_type": "markdown",
"metadata": {
"_uuid": "3d798543e3b1a8df4989f8361f241b8f3ec00b0d"
},
"source": [
"- <a href='#1'>1. Introduction to date and time</a>\n",
" - <a href='#1.1'>1.1 Importing time series data</a>\n",
" - <a href='#1.2'>1.2 Cleaning and preparing time series data</a>\n",
" - <a href='#1.3'>1.3 Visualizing the datasets</a>\n",
" - <a href='#1.4'>1.4 Timestamps and Periods</a>\n",
" - <a href='#1.5'>1.5 Using date_range</a>\n",
" - <a href='#1.6'>1.6 Using to_datetime</a>\n",
" - <a href='#1.7'>1.7 Shifting and lags</a>\n",
" - <a href='#1.8'>1.8 Resampling</a>\n",
"- <a href='#2'>2. Finance and Statistics</a>\n",
" - <a href='#2.1'>2.1 Percent change</a>\n",
" - <a href='#2.2'>2.2 Stock returns</a>\n",
" - <a href='#2.3'>2.3 Absolute change in successive rows</a>\n",
" - <a href='#2.4'>2.4 Comaring two or more time series</a>\n",
" - <a href='#2.5'>2.5 Window functions</a>\n",
" - <a href='#2.6'>2.6 OHLC charts</a>\n",
" - <a href='#2.7'>2.7 Candlestick charts</a>\n",
" - <a href='#2.8'>2.8 Autocorrelation and Partial Autocorrelation</a>\n",
"- <a href='#3'>3. Time series decomposition and Random Walks</a>\n",
" - <a href='#3.1'>3.1 Trends, Seasonality and Noise</a>\n",
" - <a href='#3.2'>3.2 White Noise</a>\n",
" - <a href='#3.3'>3.3 Random Walk</a>\n",
" - <a href='#3.4'>3.4 Stationarity</a>\n",
"- <a href='#4'>4. Modelling using statsmodels</a>\n",
" - <a href='#4.1'>4.1 AR models</a>\n",
" - <a href='#4.2'>4.2 MA models</a>\n",
" - <a href='#4.3'>4.3 ARMA models</a>\n",
" - <a href='#4.4'>4.4 ARIMA models</a>\n",
" - <a href='#4.5'>4.5 VAR models</a>\n",
" - <a href='#4.6'>4.6 State space methods</a>\n",
" - <a href='#4.6.1'>4.6.1 SARIMA models</a>\n",
" - <a href='#4.6.2'>4.6.2 Unobserved components</a>\n",
" - <a href='#4.6.3'>4.6.3 Dynamic Factor models</a>"
]
},
{
"cell_type": "markdown",
"metadata": {
"_uuid": "c0dc336a9d4969910d85fbb9462f2dde0bb01dc3"
},
"source": [
"# <a id='1'>1. Introduction to date and time</a>"
]
},
{
"cell_type": "markdown",
"metadata": {
"_uuid": "d8fd2907fd2d4ef86da73d65ba3d228dd56326a8"
},
"source": [
"## <a id='1.1'>1.1 Importing time series data</a>"
]
},
{
"cell_type": "markdown",
"metadata": {
"_uuid": "0a98331f0441b4365873a02f0c2208321ac959b0"
},
"source": [
"### How to import data?\n",
"\n",
"우선 이 커널에서 필요한 데이터셋을 불러와야합니다.\n",
"pd.read_csv()에서 두 개의 매개변수를 사용해서 불러옵시다.\n",
"\n",
"- **parse_dates** 매개변수를 사용하여 필요한 시계열을 datetime 열로 변환합니다. \n",
"- dataframe의 index는 **index_col**로 지정합니다.\n",
"\n",
"아래 코드를 보면 더 이해가 쉬울 것입니다.\n",
"\n",
"#### Data being used:-\n",
"\n",
"사용하는 데이터는 다음과 같습니다.\n",
"1. Google Stocks Data (구글 주식 데이터)\n",
"2. Humidity in different world cities (세계 여러 도시의 습도 데이터)\n",
"3. Microsoft Stocks Data (마이크로소프트 주식 데이터)\n",
"3. Pressure in different world cities (세계 여러 도시의 기압 데이터)"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"_uuid": "3ded63a0ec9e973d605a44fbea7ec50bb8c85a90"
},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<style scoped>\n",
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" vertical-align: middle;\n",
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"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>Open</th>\n",
" <th>High</th>\n",
" <th>Low</th>\n",
" <th>Close</th>\n",
" <th>Volume</th>\n",
" <th>Name</th>\n",
" </tr>\n",
" <tr>\n",
" <th>Date</th>\n",
" <th></th>\n",
" <th></th>\n",
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" <th></th>\n",
" <th></th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>2006-01-03</th>\n",
" <td>211.47</td>\n",
" <td>218.05</td>\n",
" <td>209.32</td>\n",
" <td>217.83</td>\n",
" <td>13137450</td>\n",
" <td>GOOGL</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2006-01-04</th>\n",
" <td>222.17</td>\n",
" <td>224.70</td>\n",
" <td>220.09</td>\n",
" <td>222.84</td>\n",
" <td>15292353</td>\n",
" <td>GOOGL</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2006-01-05</th>\n",
" <td>223.22</td>\n",
" <td>226.00</td>\n",
" <td>220.97</td>\n",
" <td>225.85</td>\n",
" <td>10815661</td>\n",
" <td>GOOGL</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2006-01-06</th>\n",
" <td>228.66</td>\n",
" <td>235.49</td>\n",
" <td>226.85</td>\n",
" <td>233.06</td>\n",
" <td>17759521</td>\n",
" <td>GOOGL</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2006-01-09</th>\n",
" <td>233.44</td>\n",
" <td>236.94</td>\n",
" <td>230.70</td>\n",
" <td>233.68</td>\n",
" <td>12795837</td>\n",
" <td>GOOGL</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" Open High Low Close Volume Name\n",
"Date \n",
"2006-01-03 211.47 218.05 209.32 217.83 13137450 GOOGL\n",
"2006-01-04 222.17 224.70 220.09 222.84 15292353 GOOGL\n",
"2006-01-05 223.22 226.00 220.97 225.85 10815661 GOOGL\n",
"2006-01-06 228.66 235.49 226.85 233.06 17759521 GOOGL\n",
"2006-01-09 233.44 236.94 230.70 233.68 12795837 GOOGL"
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"google = pd.read_csv('../input/stock-time-series-20050101-to-20171231/GOOGL_2006-01-01_to_2018-01-01.csv', index_col='Date', parse_dates=['Date'])\n",
"google.head()"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"_uuid": "2b27e5654118735d5820431229536c3a97fdf79a"
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{
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" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>Vancouver</th>\n",
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" <th>San Francisco</th>\n",
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" <th>Minneapolis</th>\n",
" <th>Saint Louis</th>\n",
" <th>Chicago</th>\n",
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" <th>Indianapolis</th>\n",
" <th>Atlanta</th>\n",
" <th>Detroit</th>\n",
" <th>Jacksonville</th>\n",
" <th>Charlotte</th>\n",
" <th>Miami</th>\n",
" <th>Pittsburgh</th>\n",
" <th>Toronto</th>\n",
" <th>Philadelphia</th>\n",
" <th>New York</th>\n",
" <th>Montreal</th>\n",
" <th>Boston</th>\n",
" <th>Beersheba</th>\n",
" <th>Tel Aviv District</th>\n",
" <th>Eilat</th>\n",
" <th>Haifa</th>\n",
" <th>Nahariyya</th>\n",
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" <th>datetime</th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
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" <tr>\n",
" <th>2017-11-29 20:00:00</th>\n",
" <td>NaN</td>\n",
" <td>81.0</td>\n",
" <td>NaN</td>\n",
" <td>93.0</td>\n",
" <td>24.0</td>\n",
" <td>72.0</td>\n",
" <td>18.0</td>\n",
" <td>68.0</td>\n",
" <td>37.0</td>\n",
" <td>18.0</td>\n",
" <td>37.0</td>\n",
" <td>45.0</td>\n",
" <td>68.0</td>\n",
" <td>32.0</td>\n",
" <td>31.0</td>\n",
" <td>32.0</td>\n",
" <td>52.0</td>\n",
" <td>32.0</td>\n",
" <td>32.0</td>\n",
" <td>82.0</td>\n",
" <td>39.0</td>\n",
" <td>47.0</td>\n",
" <td>21.0</td>\n",
" <td>NaN</td>\n",
" <td>20.0</td>\n",
" <td>45.0</td>\n",
" <td>27.0</td>\n",
" <td>NaN</td>\n",
" <td>64.0</td>\n",
" <td>37.0</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2017-11-29 21:00:00</th>\n",
" <td>NaN</td>\n",
" <td>71.0</td>\n",
" <td>NaN</td>\n",
" <td>87.0</td>\n",
" <td>21.0</td>\n",
" <td>72.0</td>\n",
" <td>18.0</td>\n",
" <td>73.0</td>\n",
" <td>34.0</td>\n",
" <td>12.0</td>\n",
" <td>35.0</td>\n",
" <td>42.0</td>\n",
" <td>73.0</td>\n",
" <td>27.0</td>\n",
" <td>31.0</td>\n",
" <td>37.0</td>\n",
" <td>65.0</td>\n",
" <td>34.0</td>\n",
" <td>32.0</td>\n",
" <td>73.0</td>\n",
" <td>39.0</td>\n",
" <td>47.0</td>\n",
" <td>21.0</td>\n",
" <td>NaN</td>\n",
" <td>23.0</td>\n",
" <td>48.0</td>\n",
" <td>29.0</td>\n",
" <td>NaN</td>\n",
" <td>59.0</td>\n",
" <td>74.0</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2017-11-29 22:00:00</th>\n",
" <td>NaN</td>\n",
" <td>71.0</td>\n",
" <td>NaN</td>\n",
" <td>93.0</td>\n",
" <td>23.0</td>\n",
" <td>68.0</td>\n",
" <td>17.0</td>\n",
" <td>60.0</td>\n",
" <td>32.0</td>\n",
" <td>15.0</td>\n",
" <td>38.0</td>\n",
" <td>42.0</td>\n",
" <td>50.0</td>\n",
" <td>27.0</td>\n",
" <td>30.0</td>\n",
" <td>37.0</td>\n",
" <td>96.0</td>\n",
" <td>36.0</td>\n",
" <td>39.0</td>\n",
" <td>77.0</td>\n",
" <td>42.0</td>\n",
" <td>53.0</td>\n",
" <td>24.0</td>\n",
" <td>NaN</td>\n",
" <td>27.0</td>\n",
" <td>52.0</td>\n",
" <td>31.0</td>\n",
" <td>NaN</td>\n",
" <td>66.0</td>\n",
" <td>74.0</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2017-11-29 23:00:00</th>\n",
" <td>NaN</td>\n",
" <td>71.0</td>\n",
" <td>NaN</td>\n",
" <td>87.0</td>\n",
" <td>14.0</td>\n",
" <td>63.0</td>\n",
" <td>17.0</td>\n",
" <td>33.0</td>\n",
" <td>30.0</td>\n",
" <td>28.0</td>\n",
" <td>37.0</td>\n",
" <td>45.0</td>\n",
" <td>49.0</td>\n",
" <td>30.0</td>\n",
" <td>35.0</td>\n",
" <td>46.0</td>\n",
" <td>75.0</td>\n",
" <td>39.0</td>\n",
" <td>52.0</td>\n",
" <td>82.0</td>\n",
" <td>52.0</td>\n",
" <td>73.0</td>\n",
" <td>38.0</td>\n",
" <td>NaN</td>\n",
" <td>36.0</td>\n",
" <td>64.0</td>\n",
" <td>26.0</td>\n",
" <td>NaN</td>\n",
" <td>58.0</td>\n",
" <td>56.0</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2017-11-30 00:00:00</th>\n",
" <td>NaN</td>\n",
" <td>76.0</td>\n",
" <td>NaN</td>\n",
" <td>75.0</td>\n",
" <td>56.0</td>\n",
" <td>72.0</td>\n",
" <td>17.0</td>\n",
" <td>23.0</td>\n",
" <td>34.0</td>\n",
" <td>31.0</td>\n",
" <td>48.0</td>\n",
" <td>42.0</td>\n",
" <td>52.0</td>\n",
" <td>32.0</td>\n",
" <td>38.0</td>\n",
" <td>46.0</td>\n",
" <td>86.0</td>\n",
" <td>41.0</td>\n",
" <td>52.0</td>\n",
" <td>100.0</td>\n",
" <td>56.0</td>\n",
" <td>88.0</td>\n",
" <td>41.0</td>\n",
" <td>NaN</td>\n",
" <td>42.0</td>\n",
" <td>60.0</td>\n",
" <td>32.0</td>\n",
" <td>NaN</td>\n",
" <td>58.0</td>\n",
" <td>56.0</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" Vancouver Portland ... Nahariyya Jerusalem\n",
"datetime ... \n",
"2017-11-29 20:00:00 NaN 81.0 ... NaN NaN\n",
"2017-11-29 21:00:00 NaN 71.0 ... NaN NaN\n",
"2017-11-29 22:00:00 NaN 71.0 ... NaN NaN\n",
"2017-11-29 23:00:00 NaN 71.0 ... NaN NaN\n",
"2017-11-30 00:00:00 NaN 76.0 ... NaN NaN\n",
"\n",
"[5 rows x 36 columns]"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"humidity = pd.read_csv('../input/historical-hourly-weather-data/humidity.csv', index_col='datetime', parse_dates=['datetime'])\n",
"humidity.tail()"
]
},
{
"cell_type": "markdown",
"metadata": {
"_uuid": "1dc01753c087bdb1968478ea172d3f49ded7d130"
},
"source": [
"## <a id='1.2'>1.2 Cleaning and preparing time series data</a>"
]
},
{
"cell_type": "markdown",
"metadata": {
"_uuid": "f672f5e3ef334a129cd2d730ee1bc827f92b2e62"
},
"source": [
"### How to prepare data?\n",
"\n",
"구글 주식 데이터는 누락 데이터가 없지만, 습도 데이터는 누락데이터가 꽤 있습니다.\n",
"\n",
"누락 데이터는 **`fillna()`** 메서드와 **ffill** 매개변수를 이용해 채웁니다. fillna()의 매개변수는 다음과 같은 매개변수가 있습니다. 이는 후에도 언급하니 가볍게 넘어가면 될 것 같습니다.\n",
"\n",
"- ffill : 앞의 값을 관찰한 값으로 채워넣음\n",
"- bfill : 뒤의 값을 관찰한 값으로 채워넣음"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"_uuid": "633d07112600b943f07e271caa118c63f1998022"
},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
" }\n",
"\n",
" .dataframe tbody tr th {\n",
" vertical-align: top;\n",
" }\n",
"\n",
" .dataframe thead th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>Vancouver</th>\n",
" <th>Portland</th>\n",
" <th>San Francisco</th>\n",
" <th>Seattle</th>\n",
" <th>Los Angeles</th>\n",
" <th>San Diego</th>\n",
" <th>Las Vegas</th>\n",
" <th>Phoenix</th>\n",
" <th>Albuquerque</th>\n",
" <th>Denver</th>\n",
" <th>San Antonio</th>\n",
" <th>Dallas</th>\n",
" <th>Houston</th>\n",
" <th>Kansas City</th>\n",
" <th>Minneapolis</th>\n",
" <th>Saint Louis</th>\n",
" <th>Chicago</th>\n",
" <th>Nashville</th>\n",
" <th>Indianapolis</th>\n",
" <th>Atlanta</th>\n",
" <th>Detroit</th>\n",
" <th>Jacksonville</th>\n",
" <th>Charlotte</th>\n",
" <th>Miami</th>\n",
" <th>Pittsburgh</th>\n",
" <th>Toronto</th>\n",
" <th>Philadelphia</th>\n",
" <th>New York</th>\n",
" <th>Montreal</th>\n",
" <th>Boston</th>\n",
" <th>Beersheba</th>\n",
" <th>Tel Aviv District</th>\n",
" <th>Eilat</th>\n",
" <th>Haifa</th>\n",
" <th>Nahariyya</th>\n",
" <th>Jerusalem</th>\n",
" </tr>\n",
" <tr>\n",
" <th>datetime</th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>2012-10-01 13:00:00</th>\n",
" <td>76.0</td>\n",
" <td>81.0</td>\n",
" <td>88.0</td>\n",
" <td>81.0</td>\n",
" <td>88.0</td>\n",
" <td>82.0</td>\n",
" <td>22.0</td>\n",
" <td>23.0</td>\n",
" <td>50.0</td>\n",
" <td>62.0</td>\n",
" <td>93.0</td>\n",
" <td>87.0</td>\n",
" <td>93.0</td>\n",
" <td>71.0</td>\n",
" <td>67.0</td>\n",
" <td>71.0</td>\n",
" <td>71.0</td>\n",
" <td>100.0</td>\n",
" <td>76.0</td>\n",
" <td>94.0</td>\n",
" <td>76.0</td>\n",
" <td>88.0</td>\n",
" <td>87.0</td>\n",
" <td>83.0</td>\n",
" <td>93.0</td>\n",
" <td>82.0</td>\n",
" <td>71.0</td>\n",
" <td>58.0</td>\n",
" <td>93.0</td>\n",
" <td>68.0</td>\n",
" <td>50.0</td>\n",
" <td>63.0</td>\n",
" <td>22.0</td>\n",
" <td>51.0</td>\n",
" <td>51.0</td>\n",
" <td>50.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2012-10-01 14:00:00</th>\n",
" <td>76.0</td>\n",
" <td>80.0</td>\n",
" <td>87.0</td>\n",
" <td>80.0</td>\n",
" <td>88.0</td>\n",
" <td>81.0</td>\n",
" <td>21.0</td>\n",
" <td>23.0</td>\n",
" <td>49.0</td>\n",
" <td>62.0</td>\n",
" <td>92.0</td>\n",
" <td>86.0</td>\n",
" <td>92.0</td>\n",
" <td>70.0</td>\n",
" <td>66.0</td>\n",
" <td>71.0</td>\n",
" <td>70.0</td>\n",
" <td>99.0</td>\n",
" <td>76.0</td>\n",
" <td>94.0</td>\n",
" <td>75.0</td>\n",
" <td>87.0</td>\n",
" <td>87.0</td>\n",
" <td>82.0</td>\n",
" <td>93.0</td>\n",
" <td>81.0</td>\n",
" <td>70.0</td>\n",
" <td>57.0</td>\n",
" <td>91.0</td>\n",
" <td>68.0</td>\n",
" <td>51.0</td>\n",
" <td>62.0</td>\n",
" <td>22.0</td>\n",
" <td>51.0</td>\n",
" <td>51.0</td>\n",
" <td>50.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2012-10-01 15:00:00</th>\n",
" <td>76.0</td>\n",
" <td>80.0</td>\n",
" <td>86.0</td>\n",
" <td>80.0</td>\n",
" <td>88.0</td>\n",
" <td>81.0</td>\n",
" <td>21.0</td>\n",
" <td>23.0</td>\n",
" <td>49.0</td>\n",
" <td>62.0</td>\n",
" <td>92.0</td>\n",
" <td>86.0</td>\n",
" <td>90.0</td>\n",
" <td>70.0</td>\n",
" <td>66.0</td>\n",
" <td>71.0</td>\n",
" <td>70.0</td>\n",
" <td>99.0</td>\n",
" <td>76.0</td>\n",
" <td>94.0</td>\n",
" <td>75.0</td>\n",
" <td>87.0</td>\n",
" <td>87.0</td>\n",
" <td>82.0</td>\n",
" <td>93.0</td>\n",
" <td>79.0</td>\n",
" <td>70.0</td>\n",
" <td>57.0</td>\n",
" <td>87.0</td>\n",
" <td>68.0</td>\n",
" <td>51.0</td>\n",
" <td>62.0</td>\n",
" <td>22.0</td>\n",
" <td>51.0</td>\n",
" <td>51.0</td>\n",
" <td>50.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2012-10-01 16:00:00</th>\n",
" <td>77.0</td>\n",
" <td>80.0</td>\n",
" <td>85.0</td>\n",
" <td>79.0</td>\n",
" <td>88.0</td>\n",
" <td>81.0</td>\n",
" <td>21.0</td>\n",
" <td>23.0</td>\n",
" <td>49.0</td>\n",
" <td>62.0</td>\n",
" <td>92.0</td>\n",
" <td>86.0</td>\n",
" <td>89.0</td>\n",
" <td>70.0</td>\n",
" <td>65.0</td>\n",
" <td>71.0</td>\n",
" <td>70.0</td>\n",
" <td>99.0</td>\n",
" <td>76.0</td>\n",
" <td>94.0</td>\n",
" <td>74.0</td>\n",
" <td>87.0</td>\n",
" <td>87.0</td>\n",
" <td>82.0</td>\n",
" <td>93.0</td>\n",
" <td>77.0</td>\n",
" <td>69.0</td>\n",
" <td>57.0</td>\n",
" <td>84.0</td>\n",
" <td>68.0</td>\n",
" <td>52.0</td>\n",
" <td>62.0</td>\n",
" <td>22.0</td>\n",
" <td>51.0</td>\n",
" <td>51.0</td>\n",
" <td>50.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2012-10-01 17:00:00</th>\n",
" <td>78.0</td>\n",
" <td>79.0</td>\n",
" <td>84.0</td>\n",
" <td>79.0</td>\n",
" <td>88.0</td>\n",
" <td>80.0</td>\n",
" <td>21.0</td>\n",
" <td>24.0</td>\n",
" <td>49.0</td>\n",
" <td>63.0</td>\n",
" <td>92.0</td>\n",
" <td>86.0</td>\n",
" <td>88.0</td>\n",
" <td>69.0</td>\n",
" <td>65.0</td>\n",
" <td>71.0</td>\n",
" <td>69.0</td>\n",
" <td>99.0</td>\n",
" <td>76.0</td>\n",
" <td>94.0</td>\n",
" <td>74.0</td>\n",
" <td>86.0</td>\n",
" <td>87.0</td>\n",
" <td>81.0</td>\n",
" <td>93.0</td>\n",
" <td>76.0</td>\n",
" <td>69.0</td>\n",
" <td>57.0</td>\n",
" <td>80.0</td>\n",
" <td>68.0</td>\n",
" <td>54.0</td>\n",
" <td>62.0</td>\n",
" <td>23.0</td>\n",
" <td>51.0</td>\n",
" <td>51.0</td>\n",
" <td>50.0</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" Vancouver Portland ... Nahariyya Jerusalem\n",
"datetime ... \n",
"2012-10-01 13:00:00 76.0 81.0 ... 51.0 50.0\n",
"2012-10-01 14:00:00 76.0 80.0 ... 51.0 50.0\n",
"2012-10-01 15:00:00 76.0 80.0 ... 51.0 50.0\n",
"2012-10-01 16:00:00 77.0 80.0 ... 51.0 50.0\n",
"2012-10-01 17:00:00 78.0 79.0 ... 51.0 50.0\n",
"\n",
"[5 rows x 36 columns]"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"humidity = humidity.iloc[1:]\n",
"humidity = humidity.fillna(method='ffill')\n",
"humidity.head()"
]
},
{
"cell_type": "markdown",
"metadata": {
"_uuid": "ed2ec5326c1771450a60efbdfc246b9f20495406"
},
"source": [
"## <a id='1.3'>1.3 Visualizing the datasets</a>"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"`asfreq` 메서드는 시계열을 특정 frequency로 변환합니다. (30S = 30초, M = 매월) \n",
"upsampling 또는 downsampling에 사용할 수 있습니다.\n",
"\n",
"여기서는 매개변수를 'M'으로 전달하였고, 이는 매월 빈도를 의미합니다."
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"_uuid": "d8a59e9ebfd10e486af4dd4d72e510447c1c31a8"
},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"humidity[\"Kansas City\"].asfreq('M').plot() # asfreq method is used to convert a time series to a specified frequency. Here it is monthly frequency.\n",
"plt.title('Humidity in Kansas City over time(Monthly frequency)')\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"_uuid": "13599f97548a5b33fa28b016bff5152c17d49296"
},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x864 with 5 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"google['2008':'2010'].plot(subplots=True, figsize=(10,12))\n",
"plt.title('Google stock attributes from 2008 to 2010')\n",
"plt.savefig('stocks.png')\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {
"_uuid": "bd73a8237c04b14b3afcf1d9dc3f244753b35a8b"
},
"source": [
"## <a id='1.4'>1.4 Timestamps and Periods</a>"
]
},
{
"cell_type": "markdown",
"metadata": {
"_uuid": "4c2ada0d73d7893f0899a8cfffcdfae75ee7b57b"
},
"source": [
"### What are timestamps and periods and how are they useful?\n",
"\n",
"timestamp와 period는 무엇이고, 어떻게 유용할까요?\n",
"\n",
"- **Timestamp**는 특정 시점을 나타내기 위해 사용됩니다.\n",
"\n",
"- **Period**는 특정 기간을 나타내기 위해 사용됩니다. \n",
"\n",
"Periods는 기간동안 특정 이벤트가 있는지 체크하는데 사용할 수 있습니다. 각각은 서로 변환가능합니다.\n",
"우선 아래 예시로 생성 방법을 살펴보겠습니다."
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"_uuid": "cd04e48cfb1fdacb64417c73021f183b0f955402"
},
"outputs": [
{
"data": {
"text/plain": [
"Timestamp('2017-01-01 12:00:00')"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Creating a Timestamp\n",
"timestamp = pd.Timestamp(2017, 1, 1, 12)\n",
"timestamp"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"_uuid": "b562cac2339475b197cff0c2f5a705145a930c71"
},
"outputs": [
{
"data": {
"text/plain": [
"Period('2017-01-01', 'D')"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Creating a period\n",
"period = pd.Period('2017-01-01')\n",
"period"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"timestamp와 period는 이런 비교가 가능합니다."
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"_uuid": "d044ccabd1e1d1ebfd74c9732aadf080ca472f17"
},
"outputs": [
{
"data": {
"text/plain": [
"True"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Checking if the given timestamp exists in the given period\n",
"period.start_time < timestamp < period.end_time"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"변환의 예시는 다음과 같습니다."
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"_uuid": "bd69b8ec26959d136a34f1e88811f2523fb2f96f"
},
"outputs": [
{
"data": {
"text/plain": [
"Period('2017-01-01 12:00', 'H')"
]
},
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Converting timestamp to period\n",
"new_period = timestamp.to_period(freq='H')\n",
"new_period"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"_uuid": "9f36e7636c6a826f19a38fc9c1956b34870d56e8"
},
"outputs": [
{
"data": {
"text/plain": [
"Timestamp('2017-01-01 00:00:00')"
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Converting period to timestamp\n",
"new_timestamp = period.to_timestamp(freq='H', how='start')\n",
"new_timestamp"
]
},
{
"cell_type": "markdown",
"metadata": {
"_uuid": "f87c7b3f17071c0ce6ed05ce91fe085642e5377d"
},
"source": [
"## <a id='1.5'>1.5 Using date_range</a>"
]
},
{
"cell_type": "markdown",
"metadata": {
"_uuid": "47cf8637f8c60e0bdbeb457f2af05aeeaaf763f9"
},
"source": [
"### What is date_range and how is it useful?\n",
"\n",
"date_range는 무엇이고, 어떻게 유용할까요?\n",
"\n",
"**date_range**는 고정 frequency datetimeindex를 반환하는 메서드입니다.\n",
"이것도 예시를 봐야 이해가 빠를 것 같습니다.\n",
"\n",
"\n",
"이는 기존 데이터에서 본인만의 시계열 요소를 만들거나 전체 데이터를 정리(arranging)하는데 사용할 수 있습니다."
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"_uuid": "922cd920cd5e85d571458010af8433b9340fad09"
},
"outputs": [
{
"data": {
"text/plain": [
"DatetimeIndex(['2018-01-01', '2018-01-02', '2018-01-03', '2018-01-04',\n",
" '2018-01-05', '2018-01-06', '2018-01-07', '2018-01-08',\n",
" '2018-01-09'],\n",
" dtype='datetime64[ns]', freq='D')"
]
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Creating a datetimeindex with daily frequency\n",
"dr1 = pd.date_range(start='1/1/18', end='1/9/18')\n",
"dr1"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"_uuid": "b346810a9d38a629dee9f9af9b079c4eb61ceecd"
},
"outputs": [
{
"data": {
"text/plain": [
"DatetimeIndex(['2018-01-31', '2018-02-28', '2018-03-31', '2018-04-30',\n",
" '2018-05-31', '2018-06-30', '2018-07-31', '2018-08-31',\n",
" '2018-09-30', '2018-10-31', '2018-11-30', '2018-12-31'],\n",
" dtype='datetime64[ns]', freq='M')"
]
},
"execution_count": 13,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Creating a datetimeindex with monthly frequency\n",
"dr2 = pd.date_range(start='1/1/18', end='1/1/19', freq='M')\n",
"dr2"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"아래와 같이 시작과 종료 시점 중 하나만 있어도 되고, 원하는 period에서 시계열을 만들 수 있습니다."
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"_uuid": "38263cc1ea8e719844ced552ce86056cd1a5f6b4"
},
"outputs": [
{
"data": {
"text/plain": [
"DatetimeIndex(['2013-12-28', '2013-12-29', '2013-12-30', '2013-12-31',\n",
" '2014-01-01', '2014-01-02', '2014-01-03', '2014-01-04'],\n",
" dtype='datetime64[ns]', freq='D')"
]
},
"execution_count": 14,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Creating a datetimeindex without specifying start date and using periods\n",
"dr3 = pd.date_range(end='1/4/2014', periods=8)\n",
"dr3"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {
"_uuid": "a07f4419201ba0b849ee5cfd097eeb6aa996beab"
},
"outputs": [
{
"data": {
"text/plain": [
"DatetimeIndex(['2013-04-24', '2014-02-09', '2014-11-27'], dtype='datetime64[ns]', freq=None)"
]
},
"execution_count": 15,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Creating a datetimeindex specifying start date , end date and periods\n",
"dr4 = pd.date_range(start='2013-04-24', end='2014-11-27', periods=3)\n",
"dr4"
]
},
{
"cell_type": "markdown",
"metadata": {
"_uuid": "c26aa5fc419a077276c3b24f52d1721245de94fe"
},
"source": [
"## <a id='1.6'>1.6 Using to_datetime</a> "
]
},
{
"cell_type": "markdown",
"metadata": {
"_uuid": "821003a25d35c41cc9a33134549a1c46d6ca4b99"
},
"source": [
"`pandas.to_datetime()`은 Dataframe을 datetime으로 변환하는 함수입니다."
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {
"_uuid": "20e1dcadccaf8572cf40511500ba6eb9a4e1cd7e"
},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
" }\n",
"\n",
" .dataframe tbody tr th {\n",
" vertical-align: top;\n",
" }\n",
"\n",
" .dataframe thead th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>year</th>\n",
" <th>month</th>\n",
" <th>day</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>2015</td>\n",
" <td>2</td>\n",
" <td>4</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>2016</td>\n",
" <td>3</td>\n",
" <td>5</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" year month day\n",
"0 2015 2 4\n",
"1 2016 3 5"
]
},
"execution_count": 16,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df = pd.DataFrame({'year': [2015, 2016], 'month': [2, 3], 'day': [4, 5]})\n",
"df"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {
"_uuid": "caa46d29f6eebe46898524ce0afe821b58c41463"
},
"outputs": [
{
"data": {
"text/plain": [
"0 2015-02-04\n",
"1 2016-03-05\n",
"dtype: datetime64[ns]"
]
},
"execution_count": 17,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df = pd.to_datetime(df)\n",
"df"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {
"_uuid": "5efe3b52d2ac539c66f43f51e11571982f771f5b"
},
"outputs": [
{
"data": {
"text/plain": [
"Timestamp('2017-01-01 00:00:00')"
]
},
"execution_count": 18,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df = pd.to_datetime('01-01-2017')\n",
"df"
]
},
{
"cell_type": "markdown",
"metadata": {
"_uuid": "9acb890fd5a021bc1a10ee19184425031d891f84",
"collapsed": true
},
"source": [
"## <a id='1.7'>1.7 Shifting and lags</a>"
]
},
{
"cell_type": "markdown",
"metadata": {
"_uuid": "16a55de3afba1b92503ff5484e45b39087e77f38"
},
"source": [
"우리는 원하는 기간을 shift하여 index를 원하는 frequency로 이동변환 가능합니다.\n",
"\n",
"이는 과거와 현재의 시계열을 비교하는데 유용합니다.\n",
"\n",
"아래는 데이터를 월 단위로 바꾼 후에 10개월을 shift한 후 시각화한 그래프입니다."
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {
"_uuid": "8ace8c9bb3b3b57d568a78ce198f96300d66a333"
},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"humidity[\"Vancouver\"].asfreq('M').plot(legend=True)\n",
"shifted = humidity[\"Vancouver\"].asfreq('M').shift(10).plot(legend=True)\n",
"shifted.legend(['Vancouver','Vancouver_lagged'])\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {
"_uuid": "7848513aec3116b0b7909852f72835f0b56eceaf"
},
"source": [
"## <a id='#1.8'>1.8 Resampling</a>\n",
"\n",
"**Upsampling** : 시계열을 low frequency에서 high frequency로 변환(리샘플링)합니다. 누락된 데이터를 채우거나 보간하는 방법을 포함합니다. (월 데이터 -> 일 데이터)\n",
"\n",
"**Downsampling** : 시계열을 high frequency에서 low frequency로 변환(리샘플링)합니다. 기존 데이터를 집계하는 것을 포함합니다. (주간 데이터 -> 월 데이터)"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {
"_uuid": "8256537dbb6ee6ddb4e8a097d322b58ad0d06f40"
},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
" }\n",
"\n",
" .dataframe tbody tr th {\n",
" vertical-align: top;\n",
" }\n",
"\n",
" .dataframe thead th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>Vancouver</th>\n",
" <th>Portland</th>\n",
" <th>San Francisco</th>\n",
" <th>Seattle</th>\n",
" <th>Los Angeles</th>\n",
" <th>San Diego</th>\n",
" <th>Las Vegas</th>\n",
" <th>Phoenix</th>\n",
" <th>Albuquerque</th>\n",
" <th>Denver</th>\n",
" <th>San Antonio</th>\n",
" <th>Dallas</th>\n",
" <th>Houston</th>\n",
" <th>Kansas City</th>\n",
" <th>Minneapolis</th>\n",
" <th>Saint Louis</th>\n",
" <th>Chicago</th>\n",
" <th>Nashville</th>\n",
" <th>Indianapolis</th>\n",
" <th>Atlanta</th>\n",
" <th>Detroit</th>\n",
" <th>Jacksonville</th>\n",
" <th>Charlotte</th>\n",
" <th>Miami</th>\n",
" <th>Pittsburgh</th>\n",
" <th>Toronto</th>\n",
" <th>Philadelphia</th>\n",
" <th>New York</th>\n",
" <th>Montreal</th>\n",
" <th>Boston</th>\n",
" <th>Beersheba</th>\n",
" <th>Tel Aviv District</th>\n",
" <th>Eilat</th>\n",
" <th>Haifa</th>\n",
" <th>Nahariyya</th>\n",
" <th>Jerusalem</th>\n",
" </tr>\n",
" <tr>\n",
" <th>datetime</th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
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" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
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" <th></th>\n",
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" <th></th>\n",
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" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
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" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>2017-11-29 20:00:00</th>\n",
" <td>NaN</td>\n",
" <td>1031.0</td>\n",
" <td>NaN</td>\n",
" <td>1030.0</td>\n",
" <td>1016.0</td>\n",
" <td>1017.0</td>\n",
" <td>1021.0</td>\n",
" <td>1018.0</td>\n",
" <td>1025.0</td>\n",
" <td>1016.0</td>\n",
" <td>1022.0</td>\n",
" <td>1021.0</td>\n",
" <td>1021.0</td>\n",
" <td>1020.0</td>\n",
" <td>1018.0</td>\n",
" <td>1023.0</td>\n",
" <td>1025.0</td>\n",
" <td>1023.0</td>\n",
" <td>1025.0</td>\n",
" <td>1024.0</td>\n",
" <td>1027.0</td>\n",
" <td>1021.0</td>\n",
" <td>1023.0</td>\n",
" <td>NaN</td>\n",
" <td>1024.0</td>\n",
" <td>1026.0</td>\n",
" <td>1021.0</td>\n",
" <td>NaN</td>\n",
" <td>1021.0</td>\n",
" <td>1017.0</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2017-11-29 21:00:00</th>\n",
" <td>NaN</td>\n",
" <td>1030.0</td>\n",
" <td>NaN</td>\n",
" <td>1030.0</td>\n",
" <td>1016.0</td>\n",
" <td>1017.0</td>\n",
" <td>1020.0</td>\n",
" <td>1018.0</td>\n",
" <td>1024.0</td>\n",
" <td>1018.0</td>\n",
" <td>1021.0</td>\n",
" <td>1021.0</td>\n",
" <td>1021.0</td>\n",
" <td>1021.0</td>\n",
" <td>1017.0</td>\n",
" <td>1022.0</td>\n",
" <td>1024.0</td>\n",
" <td>1022.0</td>\n",
" <td>1024.0</td>\n",
" <td>1023.0</td>\n",
" <td>1027.0</td>\n",
" <td>1021.0</td>\n",
" <td>1023.0</td>\n",
" <td>NaN</td>\n",
" <td>1024.0</td>\n",
" <td>1026.0</td>\n",
" <td>1021.0</td>\n",
" <td>NaN</td>\n",
" <td>1023.0</td>\n",
" <td>1019.0</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2017-11-29 22:00:00</th>\n",
" <td>NaN</td>\n",
" <td>1030.0</td>\n",
" <td>NaN</td>\n",
" <td>1029.0</td>\n",
" <td>1015.0</td>\n",
" <td>1016.0</td>\n",
" <td>1020.0</td>\n",
" <td>1017.0</td>\n",
" <td>1024.0</td>\n",
" <td>1018.0</td>\n",
" <td>1021.0</td>\n",
" <td>1021.0</td>\n",
" <td>1020.0</td>\n",
" <td>1020.0</td>\n",
" <td>1016.0</td>\n",
" <td>1021.0</td>\n",
" <td>1024.0</td>\n",
" <td>1023.0</td>\n",
" <td>1024.0</td>\n",
" <td>1023.0</td>\n",
" <td>1027.0</td>\n",
" <td>1022.0</td>\n",
" <td>1023.0</td>\n",
" <td>NaN</td>\n",
" <td>1024.0</td>\n",
" <td>1026.0</td>\n",
" <td>1022.0</td>\n",
" <td>NaN</td>\n",
" <td>1024.0</td>\n",
" <td>1019.0</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2017-11-29 23:00:00</th>\n",
" <td>NaN</td>\n",
" <td>1029.0</td>\n",
" <td>NaN</td>\n",
" <td>1028.0</td>\n",
" <td>1016.0</td>\n",
" <td>1016.0</td>\n",
" <td>1020.0</td>\n",
" <td>1016.0</td>\n",
" <td>1024.0</td>\n",
" <td>1020.0</td>\n",
" <td>1021.0</td>\n",
" <td>1021.0</td>\n",
" <td>1020.0</td>\n",
" <td>1019.0</td>\n",
" <td>1015.0</td>\n",
" <td>1021.0</td>\n",
" <td>1023.0</td>\n",
" <td>1023.0</td>\n",
" <td>1024.0</td>\n",
" <td>1023.0</td>\n",
" <td>1027.0</td>\n",
" <td>1022.0</td>\n",
" <td>1023.0</td>\n",
" <td>NaN</td>\n",
" <td>1024.0</td>\n",
" <td>1027.0</td>\n",
" <td>1023.0</td>\n",
" <td>NaN</td>\n",
" <td>1026.0</td>\n",
" <td>1022.0</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2017-11-30 00:00:00</th>\n",
" <td>NaN</td>\n",
" <td>1029.0</td>\n",
" <td>NaN</td>\n",
" <td>1028.0</td>\n",
" <td>1015.0</td>\n",
" <td>1017.0</td>\n",
" <td>1019.0</td>\n",
" <td>1016.0</td>\n",
" <td>1024.0</td>\n",
" <td>1021.0</td>\n",
" <td>1021.0</td>\n",
" <td>1021.0</td>\n",
" <td>1020.0</td>\n",
" <td>1019.0</td>\n",
" <td>1016.0</td>\n",
" <td>1021.0</td>\n",
" <td>1023.0</td>\n",
" <td>1023.0</td>\n",
" <td>1023.0</td>\n",
" <td>1024.0</td>\n",
" <td>1027.0</td>\n",
" <td>1022.0</td>\n",
" <td>1024.0</td>\n",
" <td>NaN</td>\n",
" <td>1025.0</td>\n",
" <td>1027.0</td>\n",
" <td>1024.0</td>\n",
" <td>NaN</td>\n",
" <td>1027.0</td>\n",
" <td>1023.0</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" Vancouver Portland ... Nahariyya Jerusalem\n",
"datetime ... \n",
"2017-11-29 20:00:00 NaN 1031.0 ... NaN NaN\n",
"2017-11-29 21:00:00 NaN 1030.0 ... NaN NaN\n",
"2017-11-29 22:00:00 NaN 1030.0 ... NaN NaN\n",
"2017-11-29 23:00:00 NaN 1029.0 ... NaN NaN\n",
"2017-11-30 00:00:00 NaN 1029.0 ... NaN NaN\n",
"\n",
"[5 rows x 36 columns]"
]
},
"execution_count": 20,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Let's use pressure data to demonstrate this\n",
"pressure = pd.read_csv('../input/historical-hourly-weather-data/pressure.csv', index_col='datetime', parse_dates=['datetime'])\n",
"pressure.tail()"
]
},
{
"cell_type": "markdown",
"metadata": {
"_uuid": "572d95634d66f13d8878816c3c7c54ae37bc6918"
},
"source": [
"시작부터 채워야하는 데이터들이 보입니다. 이는 다음과 같이 채울 수 있습니다."
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {
"_uuid": "57a352447d219e9b492a2520b2621f29f9c12946"
},
"outputs": [
{
"data": {
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" <th></th>\n",
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" <th>Saint Louis</th>\n",
" <th>Chicago</th>\n",
" <th>Nashville</th>\n",
" <th>Indianapolis</th>\n",
" <th>Atlanta</th>\n",
" <th>Detroit</th>\n",
" <th>Jacksonville</th>\n",
" <th>Charlotte</th>\n",
" <th>Miami</th>\n",
" <th>Pittsburgh</th>\n",
" <th>Toronto</th>\n",
" <th>Philadelphia</th>\n",
" <th>New York</th>\n",
" <th>Montreal</th>\n",
" <th>Boston</th>\n",
" <th>Beersheba</th>\n",
" <th>Tel Aviv District</th>\n",
" <th>Eilat</th>\n",
" <th>Haifa</th>\n",
" <th>Nahariyya</th>\n",
" <th>Jerusalem</th>\n",
" </tr>\n",
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" <th>datetime</th>\n",
" <th></th>\n",
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" <th>2017-11-29 20:00:00</th>\n",
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" <td>984.0</td>\n",
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" <td>968.0</td>\n",
" <td>1023.0</td>\n",
" <td>1023.0</td>\n",
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" <td>1023.0</td>\n",
" <td>1027.0</td>\n",
" <td>1022.0</td>\n",
" <td>1023.0</td>\n",
" <td>1015.0</td>\n",
" <td>1024.0</td>\n",
" <td>1027.0</td>\n",
" <td>1023.0</td>\n",
" <td>1020.0</td>\n",
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" <td>1011.0</td>\n",
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" <th>2017-11-30 00:00:00</th>\n",
" <td>1021.0</td>\n",
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],
"text/plain": [
" Vancouver Portland ... Nahariyya Jerusalem\n",
"datetime ... \n",
"2017-11-29 20:00:00 1021.0 1031.0 ... 1023.0 1011.0\n",
"2017-11-29 21:00:00 1021.0 1030.0 ... 1023.0 1011.0\n",
"2017-11-29 22:00:00 1021.0 1030.0 ... 1023.0 1011.0\n",
"2017-11-29 23:00:00 1021.0 1029.0 ... 1023.0 1011.0\n",
"2017-11-30 00:00:00 1021.0 1029.0 ... 1023.0 1011.0\n",
"\n",
"[5 rows x 36 columns]"
]
},
"execution_count": 21,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"pressure = pressure.iloc[1:]\n",
"pressure = pressure.fillna(method='ffill')\n",
"pressure.tail()"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {
"_uuid": "1ab27250b90e645ad25908d6f615436aca2073d6"
},
"outputs": [
{
"data": {
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"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>Vancouver</th>\n",
" <th>Portland</th>\n",
" <th>San Francisco</th>\n",
" <th>Seattle</th>\n",
" <th>Los Angeles</th>\n",
" <th>San Diego</th>\n",
" <th>Las Vegas</th>\n",
" <th>Phoenix</th>\n",
" <th>Albuquerque</th>\n",
" <th>Denver</th>\n",
" <th>San Antonio</th>\n",
" <th>Dallas</th>\n",
" <th>Houston</th>\n",
" <th>Kansas City</th>\n",
" <th>Minneapolis</th>\n",
" <th>Saint Louis</th>\n",
" <th>Chicago</th>\n",
" <th>Nashville</th>\n",
" <th>Indianapolis</th>\n",
" <th>Atlanta</th>\n",
" <th>Detroit</th>\n",
" <th>Jacksonville</th>\n",
" <th>Charlotte</th>\n",
" <th>Miami</th>\n",
" <th>Pittsburgh</th>\n",
" <th>Toronto</th>\n",
" <th>Philadelphia</th>\n",
" <th>New York</th>\n",
" <th>Montreal</th>\n",
" <th>Boston</th>\n",
" <th>Beersheba</th>\n",
" <th>Tel Aviv District</th>\n",
" <th>Eilat</th>\n",
" <th>Haifa</th>\n",
" <th>Nahariyya</th>\n",
" <th>Jerusalem</th>\n",
" </tr>\n",
" <tr>\n",
" <th>datetime</th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>2012-10-01 13:00:00</th>\n",
" <td>807.0</td>\n",
" <td>1024.0</td>\n",
" <td>1009.0</td>\n",
" <td>1027.0</td>\n",
" <td>1013.0</td>\n",
" <td>1013.0</td>\n",
" <td>1018.0</td>\n",
" <td>1013.0</td>\n",
" <td>1024.0</td>\n",
" <td>1028.0</td>\n",
" <td>1014.0</td>\n",
" <td>1011.0</td>\n",
" <td>1009.0</td>\n",
" <td>1011.0</td>\n",
" <td>1012.0</td>\n",
" <td>1010.0</td>\n",
" <td>1014.0</td>\n",
" <td>1005.0</td>\n",
" <td>1011.0</td>\n",
" <td>1006.0</td>\n",
" <td>1016.0</td>\n",
" <td>1009.0</td>\n",
" <td>1012.0</td>\n",
" <td>1011.0</td>\n",
" <td>1015.0</td>\n",
" <td>1012.0</td>\n",
" <td>1014.0</td>\n",
" <td>1012.0</td>\n",
" <td>1001.0</td>\n",
" <td>1014.0</td>\n",
" <td>984.0</td>\n",
" <td>1012.0</td>\n",
" <td>1010.0</td>\n",
" <td>1013.0</td>\n",
" <td>1013.0</td>\n",
" <td>990.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2012-10-01 14:00:00</th>\n",
" <td>807.0</td>\n",
" <td>1024.0</td>\n",
" <td>1009.0</td>\n",
" <td>1027.0</td>\n",
" <td>1013.0</td>\n",
" <td>1013.0</td>\n",
" <td>1018.0</td>\n",
" <td>1013.0</td>\n",
" <td>1024.0</td>\n",
" <td>1028.0</td>\n",
" <td>1014.0</td>\n",
" <td>1011.0</td>\n",
" <td>1008.0</td>\n",
" <td>1011.0</td>\n",
" <td>1012.0</td>\n",
" <td>1010.0</td>\n",
" <td>1014.0</td>\n",
" <td>1004.0</td>\n",
" <td>1011.0</td>\n",
" <td>1006.0</td>\n",
" <td>1015.0</td>\n",
" <td>1009.0</td>\n",
" <td>1012.0</td>\n",
" <td>1011.0</td>\n",
" <td>1015.0</td>\n",
" <td>1011.0</td>\n",
" <td>1014.0</td>\n",
" <td>1012.0</td>\n",
" <td>986.0</td>\n",
" <td>1014.0</td>\n",
" <td>984.0</td>\n",
" <td>1012.0</td>\n",
" <td>1010.0</td>\n",
" <td>1013.0</td>\n",
" <td>1013.0</td>\n",
" <td>990.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2012-10-01 15:00:00</th>\n",
" <td>807.0</td>\n",
" <td>1024.0</td>\n",
" <td>1009.0</td>\n",
" <td>1028.0</td>\n",
" <td>1013.0</td>\n",
" <td>1013.0</td>\n",
" <td>1018.0</td>\n",
" <td>1013.0</td>\n",
" <td>1024.0</td>\n",
" <td>1028.0</td>\n",
" <td>1014.0</td>\n",
" <td>1011.0</td>\n",
" <td>1008.0</td>\n",
" <td>1011.0</td>\n",
" <td>1012.0</td>\n",
" <td>1010.0</td>\n",
" <td>1014.0</td>\n",
" <td>1004.0</td>\n",
" <td>1011.0</td>\n",
" <td>1006.0</td>\n",
" <td>1015.0</td>\n",
" <td>1009.0</td>\n",
" <td>1012.0</td>\n",
" <td>1011.0</td>\n",
" <td>1015.0</td>\n",
" <td>1011.0</td>\n",
" <td>1014.0</td>\n",
" <td>1012.0</td>\n",
" <td>945.0</td>\n",
" <td>1014.0</td>\n",
" <td>984.0</td>\n",
" <td>1012.0</td>\n",
" <td>1010.0</td>\n",
" <td>1013.0</td>\n",
" <td>1013.0</td>\n",
" <td>990.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2012-10-01 16:00:00</th>\n",
" <td>807.0</td>\n",
" <td>1024.0</td>\n",
" <td>1009.0</td>\n",
" <td>1028.0</td>\n",
" <td>1013.0</td>\n",
" <td>1013.0</td>\n",
" <td>1018.0</td>\n",
" <td>1013.0</td>\n",
" <td>1024.0</td>\n",
" <td>1028.0</td>\n",
" <td>1014.0</td>\n",
" <td>1011.0</td>\n",
" <td>1008.0</td>\n",
" <td>1011.0</td>\n",
" <td>1012.0</td>\n",
" <td>1010.0</td>\n",
" <td>1014.0</td>\n",
" <td>1004.0</td>\n",
" <td>1011.0</td>\n",
" <td>1006.0</td>\n",
" <td>1015.0</td>\n",
" <td>1009.0</td>\n",
" <td>1012.0</td>\n",
" <td>1011.0</td>\n",
" <td>1015.0</td>\n",
" <td>1010.0</td>\n",
" <td>1014.0</td>\n",
" <td>1012.0</td>\n",
" <td>904.0</td>\n",
" <td>1014.0</td>\n",
" <td>984.0</td>\n",
" <td>1012.0</td>\n",
" <td>1010.0</td>\n",
" <td>1013.0</td>\n",
" <td>1013.0</td>\n",
" <td>990.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2012-10-01 17:00:00</th>\n",
" <td>807.0</td>\n",
" <td>1024.0</td>\n",
" <td>1009.0</td>\n",
" <td>1029.0</td>\n",
" <td>1013.0</td>\n",
" <td>1013.0</td>\n",
" <td>1018.0</td>\n",
" <td>1013.0</td>\n",
" <td>1024.0</td>\n",
" <td>1028.0</td>\n",
" <td>1014.0</td>\n",
" <td>1011.0</td>\n",
" <td>1008.0</td>\n",
" <td>1011.0</td>\n",
" <td>1012.0</td>\n",
" <td>1010.0</td>\n",
" <td>1014.0</td>\n",
" <td>1004.0</td>\n",
" <td>1011.0</td>\n",
" <td>1006.0</td>\n",
" <td>1015.0</td>\n",
" <td>1009.0</td>\n",
" <td>1012.0</td>\n",
" <td>1011.0</td>\n",
" <td>1015.0</td>\n",
" <td>1010.0</td>\n",
" <td>1014.0</td>\n",
" <td>1012.0</td>\n",
" <td>863.0</td>\n",
" <td>1014.0</td>\n",
" <td>984.0</td>\n",
" <td>1012.0</td>\n",
" <td>1010.0</td>\n",
" <td>1013.0</td>\n",
" <td>1013.0</td>\n",
" <td>990.0</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" Vancouver Portland ... Nahariyya Jerusalem\n",
"datetime ... \n",
"2012-10-01 13:00:00 807.0 1024.0 ... 1013.0 990.0\n",
"2012-10-01 14:00:00 807.0 1024.0 ... 1013.0 990.0\n",
"2012-10-01 15:00:00 807.0 1024.0 ... 1013.0 990.0\n",
"2012-10-01 16:00:00 807.0 1024.0 ... 1013.0 990.0\n",
"2012-10-01 17:00:00 807.0 1024.0 ... 1013.0 990.0\n",
"\n",
"[5 rows x 36 columns]"
]
},
"execution_count": 22,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"pressure = pressure.fillna(method='bfill')\n",
"pressure.head()"
]
},
{
"cell_type": "markdown",
"metadata": {
"_uuid": "e3afdbbb50ac88e74c8d3f4666e8b1b583859046"
},
"source": [
"- **ffill** 파라미터를 사용하면 마지막 유효 관측치를 전파하여 데이터의 갭을 채웁니다.\n",
"- **bfill** 파라미터를 사용하면 다음 유효 관측치를 전파하여 데이터의 갭을 채웁니다."
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {
"_uuid": "25915cb8ab6be7fe3f5784bfff1a15c8afbe5076"
},
"outputs": [
{
"data": {
"text/plain": [
"(45252, 36)"
]
},
"execution_count": 23,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Shape before resampling(downsampling)\n",
"pressure.shape"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"기존 데이터는 1시간 단위로 존재했습니다. 이를 3일 단위로 다운샘플링해보겠습니다.\n",
"`resample` 메서드를 사용했고, 평균을 사용했습니다."
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {
"_uuid": "5ea60c3c26fadc2c03512be0e52dd91f4a5182a5"
},
"outputs": [
{
"data": {
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" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>Vancouver</th>\n",
" <th>Portland</th>\n",
" <th>San Francisco</th>\n",
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" <th></th>\n",
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" <th>2012-10-01 13:00:00</th>\n",
" <td>946.652778</td>\n",
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" <td>1010.652778</td>\n",
" <td>1012.263889</td>\n",
" <td>1013.013889</td>\n",
" <td>1012.902778</td>\n",
" <td>1005.486111</td>\n",
" <td>1014.388889</td>\n",
" <td>1013.875000</td>\n",
" <td>952.013889</td>\n",
" <td>1014.291667</td>\n",
" <td>985.388889</td>\n",
" <td>1013.277778</td>\n",
" <td>1012.208333</td>\n",
" <td>1013.000000</td>\n",
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" <th>2012-10-04 13:00:00</th>\n",
" <td>1018.875000</td>\n",
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" <td>1017.000000</td>\n",
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" <td>997.625000</td>\n",
" <td>1004.125000</td>\n",
" <td>978.263889</td>\n",
" <td>977.722222</td>\n",
" <td>1014.652778</td>\n",
" <td>1016.138889</td>\n",
" <td>1017.652778</td>\n",
" <td>1015.027778</td>\n",
" <td>1012.583333</td>\n",
" <td>1019.513889</td>\n",
" <td>1016.361111</td>\n",
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" <td>1009.597222</td>\n",
" <td>1017.958333</td>\n",
" <td>1016.916667</td>\n",
" <td>1014.083333</td>\n",
" <td>1017.652778</td>\n",
" <td>979.305556</td>\n",
" <td>1005.847222</td>\n",
" <td>995.013889</td>\n",
" <td>1012.333333</td>\n",
" <td>1012.333333</td>\n",
" <td>988.013889</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2012-10-13 13:00:00</th>\n",
" <td>1010.208333</td>\n",
" <td>1018.694444</td>\n",
" <td>1021.888889</td>\n",
" <td>1016.152778</td>\n",
" <td>1017.972222</td>\n",
" <td>1018.347222</td>\n",
" <td>1019.611111</td>\n",
" <td>1017.527778</td>\n",
" <td>1022.652778</td>\n",
" <td>1018.888889</td>\n",
" <td>1018.291667</td>\n",
" <td>1016.805556</td>\n",
" <td>1017.680556</td>\n",
" <td>1013.527778</td>\n",
" <td>1012.888889</td>\n",
" <td>1015.625000</td>\n",
" <td>1013.916667</td>\n",
" <td>1020.236111</td>\n",
" <td>1016.361111</td>\n",
" <td>1022.638889</td>\n",
" <td>1016.250000</td>\n",
" <td>1020.916667</td>\n",
" <td>1024.708333</td>\n",
" <td>1016.666667</td>\n",
" <td>1019.888889</td>\n",
" <td>1013.236111</td>\n",
" <td>1023.930556</td>\n",
" <td>1023.486111</td>\n",
" <td>1019.458333</td>\n",
" <td>1023.138889</td>\n",
" <td>985.333333</td>\n",
" <td>1014.111111</td>\n",
" <td>1011.027778</td>\n",
" <td>1013.000000</td>\n",
" <td>1013.000000</td>\n",
" <td>990.750000</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" Vancouver ... Jerusalem\n",
"datetime ... \n",
"2012-10-01 13:00:00 946.652778 ... 990.611111\n",
"2012-10-04 13:00:00 1018.875000 ... 989.902778\n",
"2012-10-07 13:00:00 1014.125000 ... 989.722222\n",
"2012-10-10 13:00:00 1011.375000 ... 988.013889\n",
"2012-10-13 13:00:00 1010.208333 ... 990.750000\n",
"\n",
"[5 rows x 36 columns]"
]
},
"execution_count": 24,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# We downsample from hourly to 3 day frequency aggregated using mean\n",
"pressure = pressure.resample('3D').mean()\n",
"pressure.head()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"아래와 같이 데이터 수가 1/72가 된 것을 확인할 수 있습니다."
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {
"_uuid": "59c990d142724e51991985dd2377b328d2573fd8"
},
"outputs": [
{
"data": {
"text/plain": [
"(629, 36)"
]
},
"execution_count": 25,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Shape after resampling(downsampling)\n",
"pressure.shape"
]
},
{
"cell_type": "markdown",
"metadata": {
"_uuid": "1de21323b780dfc602ed1d2df04881a20a3a8cee"
},
"source": [
"이제 이를 역으로 3일간격을 1일 간격으로 업샘플링해보겠습니다.\n",
"pad()는 패딩을 의미합니다."
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {
"_uuid": "95f252356e497a3a456d37534dfd2bb97813b55f"
},
"outputs": [
{
"data": {
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"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>Vancouver</th>\n",
" <th>Portland</th>\n",
" <th>San Francisco</th>\n",
" <th>Seattle</th>\n",
" <th>Los Angeles</th>\n",
" <th>San Diego</th>\n",
" <th>Las Vegas</th>\n",
" <th>Phoenix</th>\n",
" <th>Albuquerque</th>\n",
" <th>Denver</th>\n",
" <th>San Antonio</th>\n",
" <th>Dallas</th>\n",
" <th>Houston</th>\n",
" <th>Kansas City</th>\n",
" <th>Minneapolis</th>\n",
" <th>Saint Louis</th>\n",
" <th>Chicago</th>\n",
" <th>Nashville</th>\n",
" <th>Indianapolis</th>\n",
" <th>Atlanta</th>\n",
" <th>Detroit</th>\n",
" <th>Jacksonville</th>\n",
" <th>Charlotte</th>\n",
" <th>Miami</th>\n",
" <th>Pittsburgh</th>\n",
" <th>Toronto</th>\n",
" <th>Philadelphia</th>\n",
" <th>New York</th>\n",
" <th>Montreal</th>\n",
" <th>Boston</th>\n",
" <th>Beersheba</th>\n",
" <th>Tel Aviv District</th>\n",
" <th>Eilat</th>\n",
" <th>Haifa</th>\n",
" <th>Nahariyya</th>\n",
" <th>Jerusalem</th>\n",
" </tr>\n",
" <tr>\n",
" <th>datetime</th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
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" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
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" <th></th>\n",
" <th></th>\n",
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" <th></th>\n",
" <th></th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>2012-10-01</th>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
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" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2012-10-02</th>\n",
" <td>946.652778</td>\n",
" <td>1022.597222</td>\n",
" <td>1010.666667</td>\n",
" <td>1030.666667</td>\n",
" <td>1011.472222</td>\n",
" <td>1011.875000</td>\n",
" <td>1015.305556</td>\n",
" <td>1011.805556</td>\n",
" <td>1021.722222</td>\n",
" <td>1022.347222</td>\n",
" <td>1014.638889</td>\n",
" <td>1012.000000</td>\n",
" <td>1010.750000</td>\n",
" <td>1012.111111</td>\n",
" <td>1012.791667</td>\n",
" <td>1010.166667</td>\n",
" <td>1012.388889</td>\n",
" <td>1006.680556</td>\n",
" <td>1009.680556</td>\n",
" <td>1008.402778</td>\n",
" <td>1013.777778</td>\n",
" <td>1010.652778</td>\n",
" <td>1012.263889</td>\n",
" <td>1013.013889</td>\n",
" <td>1012.902778</td>\n",
" <td>1005.486111</td>\n",
" <td>1014.388889</td>\n",
" <td>1013.875000</td>\n",
" <td>952.013889</td>\n",
" <td>1014.291667</td>\n",
" <td>985.388889</td>\n",
" <td>1013.277778</td>\n",
" <td>1012.208333</td>\n",
" <td>1013.0</td>\n",
" <td>1013.0</td>\n",
" <td>990.611111</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2012-10-03</th>\n",
" <td>946.652778</td>\n",
" <td>1022.597222</td>\n",
" <td>1010.666667</td>\n",
" <td>1030.666667</td>\n",
" <td>1011.472222</td>\n",
" <td>1011.875000</td>\n",
" <td>1015.305556</td>\n",
" <td>1011.805556</td>\n",
" <td>1021.722222</td>\n",
" <td>1022.347222</td>\n",
" <td>1014.638889</td>\n",
" <td>1012.000000</td>\n",
" <td>1010.750000</td>\n",
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" <td>1010.166667</td>\n",
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" <td>1006.680556</td>\n",
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" <td>1014.388889</td>\n",
" <td>1013.875000</td>\n",
" <td>952.013889</td>\n",
" <td>1014.291667</td>\n",
" <td>985.388889</td>\n",
" <td>1013.277778</td>\n",
" <td>1012.208333</td>\n",
" <td>1013.0</td>\n",
" <td>1013.0</td>\n",
" <td>990.611111</td>\n",
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" <tr>\n",
" <th>2012-10-04</th>\n",
" <td>946.652778</td>\n",
" <td>1022.597222</td>\n",
" <td>1010.666667</td>\n",
" <td>1030.666667</td>\n",
" <td>1011.472222</td>\n",
" <td>1011.875000</td>\n",
" <td>1015.305556</td>\n",
" <td>1011.805556</td>\n",
" <td>1021.722222</td>\n",
" <td>1022.347222</td>\n",
" <td>1014.638889</td>\n",
" <td>1012.000000</td>\n",
" <td>1010.750000</td>\n",
" <td>1012.111111</td>\n",
" <td>1012.791667</td>\n",
" <td>1010.166667</td>\n",
" <td>1012.388889</td>\n",
" <td>1006.680556</td>\n",
" <td>1009.680556</td>\n",
" <td>1008.402778</td>\n",
" <td>1013.777778</td>\n",
" <td>1010.652778</td>\n",
" <td>1012.263889</td>\n",
" <td>1013.013889</td>\n",
" <td>1012.902778</td>\n",
" <td>1005.486111</td>\n",
" <td>1014.388889</td>\n",
" <td>1013.875000</td>\n",
" <td>952.013889</td>\n",
" <td>1014.291667</td>\n",
" <td>985.388889</td>\n",
" <td>1013.277778</td>\n",
" <td>1012.208333</td>\n",
" <td>1013.0</td>\n",
" <td>1013.0</td>\n",
" <td>990.611111</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2012-10-05</th>\n",
" <td>1018.875000</td>\n",
" <td>1022.819444</td>\n",
" <td>1016.027778</td>\n",
" <td>1027.527778</td>\n",
" <td>1016.208333</td>\n",
" <td>1016.888889</td>\n",
" <td>1013.597222</td>\n",
" <td>1014.486111</td>\n",
" <td>1019.930556</td>\n",
" <td>1022.375000</td>\n",
" <td>1017.847222</td>\n",
" <td>1017.361111</td>\n",
" <td>1017.888889</td>\n",
" <td>1019.625000</td>\n",
" <td>1016.750000</td>\n",
" <td>1020.222222</td>\n",
" <td>1017.000000</td>\n",
" <td>1021.069444</td>\n",
" <td>1019.541667</td>\n",
" <td>1021.527778</td>\n",
" <td>1017.430556</td>\n",
" <td>1019.847222</td>\n",
" <td>1021.291667</td>\n",
" <td>1017.847222</td>\n",
" <td>1018.930556</td>\n",
" <td>1007.291667</td>\n",
" <td>1017.763889</td>\n",
" <td>1017.083333</td>\n",
" <td>1015.680556</td>\n",
" <td>1019.555556</td>\n",
" <td>984.486111</td>\n",
" <td>1012.791667</td>\n",
" <td>1012.277778</td>\n",
" <td>1013.0</td>\n",
" <td>1013.0</td>\n",
" <td>989.902778</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" Vancouver Portland ... Nahariyya Jerusalem\n",
"datetime ... \n",
"2012-10-01 NaN NaN ... NaN NaN\n",
"2012-10-02 946.652778 1022.597222 ... 1013.0 990.611111\n",
"2012-10-03 946.652778 1022.597222 ... 1013.0 990.611111\n",
"2012-10-04 946.652778 1022.597222 ... 1013.0 990.611111\n",
"2012-10-05 1018.875000 1022.819444 ... 1013.0 989.902778\n",
"\n",
"[5 rows x 36 columns]"
]
},
"execution_count": 26,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"pressure = pressure.resample('D').pad()\n",
"pressure.head()"
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {
"_uuid": "83f9f0b8863ff524de1179ea77187fb4b0266154"
},
"outputs": [
{
"data": {
"text/plain": [
"(1885, 36)"
]
},
"execution_count": 27,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Shape after resampling(upsampling)\n",
"pressure.shape"
]
},
{
"cell_type": "markdown",
"metadata": {
"_uuid": "18c6eb20d04c8af0a4900552dbfb18575990f310"
},
"source": [
"행의 수가 증가하지만, 데이터가 손실되는 것을 확인할 수 있었습니다.\n",
"\n",
"resampling은 필요에 따라 매우 유용하게 사용할 수 있습니다."
]
},
{
"cell_type": "markdown",
"metadata": {
"_uuid": "72d0ea11c176f3731727b81269148188141c7dcc"
},
"source": [
"# <a id='2'>2. Finance and statistics</a>"
]
},
{
"cell_type": "markdown",
"metadata": {
"_uuid": "e99a77337a15dfbcc5ec97358c0d31d0ca04ab0d"
},
"source": [
"## <a id='2.1'>2.1 Percent change</a>"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"시계열에서 각 데이터가 이전에 비해 변한 정도를 나타내는 코드입니다.\n",
"\n",
"shift()를 이용해 dataframe에서 최소 단위로 shift를 진행하고, div 메서드로 앞의 값을 나눠주는 방식입니다."
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {
"_uuid": "ee26cbd48ae1025b9a072a4385609d6abc0406d9"
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.axes._subplots.AxesSubplot at 0x7fcc39436cf8>"
]
},
"execution_count": 28,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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\n",
"text/plain": [
"<Figure size 1440x576 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"google['Change'] = google.High.div(google.High.shift())\n",
"google['Change'].plot(figsize=(20,8))"
]
},
{
"cell_type": "markdown",
"metadata": {
"_uuid": "eed7547b522e9630ea2dc833afdee51e61ca41e6"
},
"source": [
"## <a id='2.2'>2.2 Stock returns</a> "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"전과 price가 같다면, 변한 정도는 1로 표기될 것입니다.\n",
"\n",
"그렇기에 (비율-1) * 100 의 식을 사용하여 %로 변환합니다."
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {
"_uuid": "09d5af0ce40cfdd1338433c204538fe894004b3f"
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.axes._subplots.AxesSubplot at 0x7fcc393c9eb8>"
]
},
"execution_count": 29,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1440x576 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"google['Return'] = google.Change.sub(1).mul(100)\n",
"google['Return'].plot(figsize=(20,8))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"한 줄로 쓰면 다음과 같이 쓸 수 있습니다."
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {
"_uuid": "f5f7a089b1ae64b4403c588f8095332bc32c0d11"
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.axes._subplots.AxesSubplot at 0x7fcc39342630>"
]
},
"execution_count": 30,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1440x432 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"google.High.pct_change().mul(100).plot(figsize=(20,6)) # Another way to calculate returns"
]
},
{
"cell_type": "markdown",
"metadata": {
"_uuid": "1daf826b9b25c7f3c69683d9b59a7d2aa285df06"
},
"source": [
"## <a id='2.3'>2.3 Absolute change in successive rows</a>"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"값 자체의 차이는 diff()를 사용하여 구할 수 있습니다."
]
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {
"_uuid": "399bd0a9f469d69dd11523e54f1599302291be44"
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.axes._subplots.AxesSubplot at 0x7fcc393c1668>"
]
},
"execution_count": 31,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1440x432 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"google.High.diff().plot(figsize=(20,6))"
]
},
{
"cell_type": "markdown",
"metadata": {
"_uuid": "bd5ec63ecd09543b21df15aff6432db598ee1ab5",
"collapsed": true
},
"source": [
"## <a id='2.4'>2.4 Comaring two or more time series</a> "
]
},
{
"cell_type": "markdown",
"metadata": {
"_uuid": "7a7a4a918d1d80d19d33f71965a3ca5583a8aa2e"
},
"source": [
"normalization을 통해 2개의 시계열을 비교해보겠습니다.\n",
"\n",
"두 개의 시계열을 각 시계열의 첫 번째 요소로 나누어주어, 비율의 변화를 보는 방법입니다.\n",
"두 시리즈의 시작점이 1.0으로 같아 비교가 용이합니다.\n",
"\n",
"이제 구글 주식과 함께 MS 주식 데이터를 불러오겠습니다."
]
},
{
"cell_type": "code",
"execution_count": 32,
"metadata": {
"_uuid": "91ff99a81a53eecbda4e8c81b231db3dc8f62082"
},
"outputs": [],
"source": [
"# We choose microsoft stocks to compare them with google\n",
"microsoft = pd.read_csv('../input/stock-time-series-20050101-to-20171231/MSFT_2006-01-01_to_2018-01-01.csv', index_col='Date', parse_dates=['Date'])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"아래는 nomalization 전의 그래프입니다."
]
},
{
"cell_type": "code",
"execution_count": 33,
"metadata": {
"_uuid": "751ce8e4ff9bb26f106342c26d9f4893c21a7bfa"
},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Plotting before normalization\n",
"google.High.plot()\n",
"microsoft.High.plot()\n",
"plt.legend(['Google','Microsoft'])\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"아래는 변환 후 그래프입니다."
]
},
{
"cell_type": "code",
"execution_count": 34,
"metadata": {
"_uuid": "e9d610487415c9c65726c187909abbd8ce0f57b0"
},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Normalizing and comparison\n",
"# Both stocks start from 100\n",
"normalized_google = google.High.div(google.High.iloc[0]).mul(100)\n",
"normalized_microsoft = microsoft.High.div(microsoft.High.iloc[0]).mul(100)\n",
"normalized_google.plot()\n",
"normalized_microsoft.plot()\n",
"plt.legend(['Google','Microsoft'])\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {
"_uuid": "5a89d0a945a7cff7d2dbd074d437be83607c17e3"
},
"source": [
"변환을 통해 확인한 그래프에서 시간에 따른 google의 실적이 MS의 실적보다 뛰어난 것을 명확하게 확인할 수 있습니다."
]
},
{
"cell_type": "markdown",
"metadata": {
"_uuid": "7de5aa0e16da9790177a2994e843b4bf69c82688",
"collapsed": true
},
"source": [
"## <a id='2.5'>2.5 Window functions</a>\n",
"**Window functions**는 서브-기간을 식별하고, 서브-기간간의 연산에 사용합니다.\n",
"\n",
"- **Rolling** : 일정 구간에서 움직이며 값의 경향성을 구함\n",
"\n",
"- **Expanding** : Contains all prior values\n",
"\n",
"아래는 각 데이터를 90일 window를 이동시키며 평균으로 ploting한 예시입니다."
]
},
{
"cell_type": "code",
"execution_count": 35,
"metadata": {
"_uuid": "2759a3894d231e62d1a868d61591a78796b428ac"
},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Rolling window functions\n",
"rolling_google = google.High.rolling('90D').mean()\n",
"google.High.plot()\n",
"rolling_google.plot()\n",
"plt.legend(['High','Rolling Mean'])\n",
"# Plotting a rolling mean of 90 day window with original High attribute of google stocks\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {
"_uuid": "6de30c1c19b15b698c04f6328430d25e0c29e016"
},
"source": [
"원본보다 롤링한 값이 부드러운 것을 확인할 수 있습니다. \n",
"\n",
"아래는 expanding 예시입니다. default값은 1입니다."
]
},
{
"cell_type": "code",
"execution_count": 36,
"metadata": {
"_uuid": "0c00473ae42582d73987233a761e0a22a9c2b9af"
},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Expanding window functions\n",
"microsoft_mean = microsoft.High.expanding().mean()\n",
"microsoft_std = microsoft.High.expanding().std()\n",
"microsoft.High.plot()\n",
"microsoft_mean.plot()\n",
"microsoft_std.plot()\n",
"plt.legend(['High','Expanding Mean','Expanding Standard Deviation'])\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {
"_uuid": "468318f02e689885dd64c8c4cc30984fb91d8f3b"
},
"source": [
"## <a id='2.6'>2.6 OHLC charts</a>\n",
"\n",
"**OHLC 차트**는 고가(high), 저가(low), 시가(open), 종가(close)를 보여주는 모든 유형의 가격 차트입니다.\n",
"OHLC 차트는 증권, 통화, 주식, 채권, 원자재 등의 시간 경과에 따른 가격 변동을 시각화하고 분석하는 거래 도구(trading tool)로 사용됩니다. OHLC 차트는 시작의 매일 상태를 해석하고, 형성된 패턴에서 미래의 가격 변화를 예측하는데 유용합니다.\n",
"\n",
"OHLC 차트에서 y축은 가격을, x축은 시간을 나타냅니다.\n",
"각 단일 기간에서 OHLC 차트는 최고가, 최저가, 시가와 종가를 기호를 이용해 나타내야합니다.\n",
"각 기간에서 고가와 저가는 세로선의 길이로 표시됩니다. 시가는 세로선의 왼쪽에 종가는 오른쪽에 표시됩니다.\n",
"\n",
"종가가 시가보다 높은 경우(bullish)와 종가가 시가보다 낮은 경우(bearish)를 색으로 구분하여 표시할 수도 있습니다.\n",
"\n",
"<img src=\"https://datavizcatalogue.com/methods/images/anatomy/SVG/OHLC_chart.svg\">\n",
"\n",
"> 이미지는 외부에서 가져온 이미지입니다. matplotlib 등으로 그린 그림이 아님을 명시합니다.\n",
"\n",
"이제 plotly.graph_objs 모듈을 사용하여 Ohlc 차트를 그려보겠습니다.\n",
"\n",
"Source: [Datavizcatalogue](https://datavizcatalogue.com/methods/OHLC_chart.html)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"- 2008년 6월 데이터"
]
},
{
"cell_type": "code",
"execution_count": 37,
"metadata": {
"_uuid": "cda7c35e8689a4638f0cfda0cc280bc670733993"
},
"outputs": [
{
"data": {
"application/vnd.plotly.v1+json": {
"config": {
"linkText": "Export to plot.ly",
"plotlyServerURL": "https://plot.ly",
"responsive": true,
"showLink": false
},
"data": [
{
"close": [
287.79,
283.93,
286.4,
293.44,
283.78,
279.21,
277.36,
272.87,
276.75,
286.04,
286.69,
285.01,
281.47,
280.38,
273.49,
272.88,
271.42,
275.78,
264.67,
264.3,
263.47
],
"high": [
292.24,
290.54,
289.29,
294.31,
290.65,
285.28,
279.69,
278.95,
279.28,
288.14,
289.84,
289.32,
284.78,
282.17,
278.77,
276.85,
275.87,
279.18,
272.74,
265.26,
269.27
],
"low": [
285.92,
280.59,
282.56,
288.39,
283.78,
272.97,
273.66,
272.5,
273.71,
280.95,
283.53,
284.47,
279.86,
275.68,
272.53,
271.28,
267.82,
272.11,
264.39,
257.8,
261.79
],
"open": [
291.54,
288.54,
282.95,
288.83,
290.16,
284.31,
275.05,
278.4,
274.65,
281.03,
283.53,
288.46,
282.54,
277.95,
278.77,
272.95,
272.84,
272.76,
272.32,
264.1,
266.51
],
"type": "ohlc",
"uid": "a2eca3e0-fa61-41bb-8d81-5d02987df92b",
"x": [
"2008-06-02",
"2008-06-03",
"2008-06-04",
"2008-06-05",
"2008-06-06",
"2008-06-09",
"2008-06-10",
"2008-06-11",
"2008-06-12",
"2008-06-13",
"2008-06-16",
"2008-06-17",
"2008-06-18",
"2008-06-19",
"2008-06-20",
"2008-06-23",
"2008-06-24",
"2008-06-25",
"2008-06-26",
"2008-06-27",
"2008-06-30"
]
}
],
"layout": {}
},
"text/html": [
"<div>\n",
" \n",
" \n",
" <div id=\"d7b97392-259a-420c-b0bd-e769b51eea56\" class=\"plotly-graph-div\" style=\"height:525px; width:100%;\"></div>\n",
" <script type=\"text/javascript\">\n",
" require([\"plotly\"], function(Plotly) {\n",
" window.PLOTLYENV=window.PLOTLYENV || {};\n",
" window.PLOTLYENV.BASE_URL='https://plot.ly';\n",
" \n",
" if (document.getElementById(\"d7b97392-259a-420c-b0bd-e769b51eea56\")) {\n",
" Plotly.newPlot(\n",
" 'd7b97392-259a-420c-b0bd-e769b51eea56',\n",
" [{\"close\": [287.79, 283.93, 286.4, 293.44, 283.78, 279.21, 277.36, 272.87, 276.75, 286.04, 286.69, 285.01, 281.47, 280.38, 273.49, 272.88, 271.42, 275.78, 264.67, 264.3, 263.47], \"high\": [292.24, 290.54, 289.29, 294.31, 290.65, 285.28, 279.69, 278.95, 279.28, 288.14, 289.84, 289.32, 284.78, 282.17, 278.77, 276.85, 275.87, 279.18, 272.74, 265.26, 269.27], \"low\": [285.92, 280.59, 282.56, 288.39, 283.78, 272.97, 273.66, 272.5, 273.71, 280.95, 283.53, 284.47, 279.86, 275.68, 272.53, 271.28, 267.82, 272.11, 264.39, 257.8, 261.79], \"open\": [291.54, 288.54, 282.95, 288.83, 290.16, 284.31, 275.05, 278.4, 274.65, 281.03, 283.53, 288.46, 282.54, 277.95, 278.77, 272.95, 272.84, 272.76, 272.32, 264.1, 266.51], \"type\": \"ohlc\", \"uid\": \"6a489af6-a3d6-43b2-b3be-8522111c34c4\", \"x\": [\"2008-06-02\", \"2008-06-03\", \"2008-06-04\", \"2008-06-05\", \"2008-06-06\", \"2008-06-09\", \"2008-06-10\", \"2008-06-11\", \"2008-06-12\", \"2008-06-13\", \"2008-06-16\", \"2008-06-17\", \"2008-06-18\", \"2008-06-19\", \"2008-06-20\", \"2008-06-23\", \"2008-06-24\", \"2008-06-25\", \"2008-06-26\", \"2008-06-27\", \"2008-06-30\"]}],\n",
" {},\n",
" {\"showLink\": false, \"linkText\": \"Export to plot.ly\", \"plotlyServerURL\": \"https://plot.ly\", \"responsive\": true}\n",
" ).then(function(){\n",
" \n",
"var gd = document.getElementById('d7b97392-259a-420c-b0bd-e769b51eea56');\n",
"var x = new MutationObserver(function (mutations, observer) {{\n",
" var display = window.getComputedStyle(gd).display;\n",
" if (!display || display === 'none') {{\n",
" console.log([gd, 'removed!']);\n",
" Plotly.purge(gd);\n",
" observer.disconnect();\n",
" }}\n",
"}});\n",
"\n",
"// Listen for the removal of the full notebook cells\n",
"var notebookContainer = gd.closest('#notebook-container');\n",
"if (notebookContainer) {{\n",
" x.observe(notebookContainer, {childList: true});\n",
"}}\n",
"\n",
"// Listen for the clearing of the current output cell\n",
"var outputEl = gd.closest('.output');\n",
"if (outputEl) {{\n",
" x.observe(outputEl, {childList: true});\n",
"}}\n",
"\n",
" })\n",
" };\n",
" });\n",
" </script>\n",
" </div>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# OHLC chart of June 2008\n",
"trace = go.Ohlc(x=google['06-2008'].index,\n",
" open=google['06-2008'].Open,\n",
" high=google['06-2008'].High,\n",
" low=google['06-2008'].Low,\n",
" close=google['06-2008'].Close)\n",
"data = [trace]\n",
"iplot(data, filename='simple_ohlc')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"- 2008년 데이터"
]
},
{
"cell_type": "code",
"execution_count": 38,
"metadata": {
"_uuid": "569adf188c009c34651a9caf832f0834dea20088"
},
"outputs": [
{
"data": {
"application/vnd.plotly.v1+json": {
"config": {
"linkText": "Export to plot.ly",
"plotlyServerURL": "https://plot.ly",
"responsive": true,
"showLink": false
},
"data": [
{
"close": [
342.94,
343.01,
328.83,
324.95,
316.16,
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"2008-12-17",
"2008-12-18",
"2008-12-19",
"2008-12-22",
"2008-12-23",
"2008-12-24",
"2008-12-26",
"2008-12-29",
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"source": [
"# OHLC chart of 2008\n",
"trace = go.Ohlc(x=google['2008'].index,\n",
" open=google['2008'].Open,\n",
" high=google['2008'].High,\n",
" low=google['2008'].Low,\n",
" close=google['2008'].Close)\n",
"data = [trace]\n",
"iplot(data, filename='simple_ohlc')"
]
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"source": [
"- 2006년~2018년 데이터"
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},
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"execution_count": 39,
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190.57,
189.45,
189.49,
192.37,
190.26,
189.43,
189.11,
192.24,
196.15,
203.49,
202.19,
205.14,
207.55,
202.11,
198.7,
203.63,
202.09,
202.19,
203.64,
201.66,
201.99,
201.15,
200.92,
202.22,
208.06,
206.11,
210.46,
214.71,
213.54,
213.46,
213.93,
213.86,
211.09,
210.53,
209.86,
213.24,
230.06,
240.63,
236.89,
243.54,
242.79,
237.84,
238.52,
238.43,
233.98,
235.19,
236.13,
238.71,
236.52,
237.74,
236.55,
237.01,
240.76,
244.89,
246.21,
248.2,
249.64,
247.77,
255.08,
254.26,
252.8,
242.62,
244.99,
242.57,
242.65,
240.64,
242.67,
243.74,
244.6,
241.56,
242.3,
242.21,
241.13,
239.73,
241.3,
240.39,
231.63,
234.55,
231.68,
228.33,
228.02,
228.99,
234.25,
231.51,
230.47,
234.03,
241.87,
243.84,
242.03,
242.99,
244.97,
250.11,
252.75,
252.39,
248.89,
244.16,
245.12,
240.66,
239.76,
249.78,
244.29,
248.17,
246.48,
247.41,
251.0,
241.12,
240.99,
233.81,
235.98,
235.24,
235.75,
231.18,
229.37,
229.78,
233.2,
230.97,
235.2,
236.29,
238.17,
238.16,
235.55,
232.7,
224.61,
224.95,
224.34,
219.56,
220.69,
229.0,
228.05,
227.59,
226.71,
227.6,
221.74,
224.22,
223.32,
220.65,
223.84,
222.86,
228.5,
231.25,
231.15,
232.73,
232.04,
231.17,
230.69,
229.31,
229.49,
236.54,
235.75,
235.99,
234.34,
233.48,
232.5,
233.93,
233.38,
237.37,
236.64,
238.24,
236.06,
241.48,
239.78,
239.0,
239.23,
240.83,
239.74,
235.93,
234.73,
233.12,
236.85,
235.8,
233.87,
233.64,
234.86,
230.97,
233.6,
231.12,
229.23,
236.54,
235.72,
235.4,
235.54,
238.17,
237.22,
237.4,
242.0,
243.8,
249.55,
249.2,
250.45,
253.79,
259.68,
259.38,
257.79,
258.0,
255.93,
252.64,
252.87,
251.67,
253.2,
257.86,
257.41,
255.24,
257.31,
262.75,
263.97,
265.4,
263.41,
262.77,
261.61,
265.46,
267.44,
271.09,
269.97,
271.55,
271.94,
272.51,
272.94,
276.36,
276.77,
277.78,
275.02,
274.57,
260.32,
256.51,
257.26,
255.13,
254.25,
256.2,
258.31,
255.25,
256.73,
255.76,
251.75,
255.25,
258.27,
263.15,
257.62,
258.13,
258.01,
254.55,
249.02,
246.01,
250.27,
249.21,
253.56,
256.63,
256.35,
257.76,
256.89,
253.45,
256.7,
255.96,
257.88,
262.84,
264.16,
262.02,
259.93,
257.5,
260.93,
261.59,
262.65,
264.64,
262.91,
267.9,
273.7,
276.69,
280.33,
284.29,
284.78,
284.36,
284.03,
283.92,
291.57,
292.49,
292.3,
289.8,
297.32,
305.11,
307.9,
313.01,
311.31,
319.01,
310.37,
308.31,
317.06,
320.13,
322.68,
325.7,
338.22,
338.25,
334.59,
337.64,
339.95,
347.73,
353.85,
351.96,
355.98,
363.19,
371.27,
366.84,
347.27,
332.32,
316.35,
330.61,
321.16,
315.14,
317.13,
313.24,
324.59,
330.59,
338.69,
333.3,
337.12,
346.48,
348.85,
346.85,
341.11,
342.42,
349.6,
357.99,
357.79,
359.57,
349.95,
350.02,
347.37,
345.32,
334.95,
337.01,
339.02,
345.19,
348.69,
350.72,
355.78,
350.72,
351.62,
346.09,
342.94,
343.01,
328.83,
324.95,
316.16,
326.93,
323.69,
319.44,
327.24,
319.14,
308.28,
300.7,
300.43,
292.47,
274.58,
287.53,
283.48,
278.27,
275.54,
274.41,
282.43,
258.21,
247.96,
253.65,
251.11,
252.73,
258.6,
260.84,
259.3,
267.58,
266.39,
265.08,
254.73,
254.75,
251.68,
254.15,
243.46,
232.33,
236.67,
237.93,
235.83,
228.74,
222.52,
224.07,
216.57,
216.89,
207.02,
220.14,
220.31,
221.73,
219.18,
210.14,
219.8,
216.22,
216.99,
230.51,
225.62,
229.32,
222.26,
219.26,
220.46,
233.09,
233.08,
227.79,
235.78,
238.65,
234.14,
232.33,
234.78,
228.95,
226.06,
223.64,
227.74,
224.99,
269.97,
269.16,
277.78,
273.52,
271.79,
272.3,
276.34,
279.51,
287.43,
296.84,
290.94,
297.75,
293.47,
289.79,
291.8,
286.9,
292.76,
291.79,
288.44,
290.79,
290.33,
289.05,
289.59,
275.27,
275.0,
272.58,
280.73,
284.4,
291.79,
293.19,
287.79,
283.93,
286.4,
293.44,
283.78,
279.21,
277.36,
272.87,
276.75,
286.04,
286.69,
285.01,
281.47,
280.38,
273.49,
272.88,
271.42,
275.78,
264.67,
264.3,
263.47,
267.63,
263.78,
268.77,
272.23,
277.54,
271.05,
270.56,
267.17,
261.07,
258.3,
268.07,
266.99,
240.9,
234.63,
238.79,
244.85,
238.05,
246.24,
238.8,
241.8,
241.59,
237.11,
234.16,
231.73,
240.16,
243.41,
239.8,
247.75,
250.67,
251.56,
250.27,
253.0,
255.33,
249.4,
245.5,
242.74,
243.51,
245.54,
241.75,
237.32,
234.52,
237.13,
231.88,
232.86,
232.44,
225.36,
222.35,
210.18,
209.54,
207.29,
217.09,
219.05,
217.15,
221.69,
207.45,
219.76,
224.8,
215.29,
214.85,
217.77,
220.02,
215.74,
190.69,
200.46,
206.07,
195.44,
193.65,
185.79,
173.18,
169.22,
164.65,
166.17,
190.7,
181.54,
169.75,
176.69,
186.46,
189.85,
181.56,
178.01,
176.34,
169.81,
164.91,
184.56,
179.18,
180.02,
179.86,
173.42,
183.65,
171.29,
165.78,
165.74,
159.55,
155.89,
145.65,
156.2,
155.17,
150.21,
148.86,
140.23,
129.91,
131.35,
128.85,
141.17,
146.19,
146.63,
133.13,
137.69,
139.85,
137.31,
142.14,
151.21,
153.14,
154.56,
150.26,
158.04,
155.49,
162.8,
157.78,
155.3,
155.24,
148.7,
149.16,
151.63,
150.33,
148.86,
151.71,
153.98,
160.82,
164.19,
167.2,
161.17,
162.76,
157.69,
156.5,
157.32,
150.64,
149.64,
149.98,
141.52,
151.69,
153.4,
162.51,
162.1,
165.91,
174.51,
171.83,
169.43,
170.46,
170.4,
171.67,
177.04,
185.83,
189.57,
179.43,
179.2,
181.71,
179.02,
171.5,
176.73,
171.49,
173.4,
165.2,
172.9,
170.99,
168.76,
169.16,
163.74,
162.9,
159.62,
152.97,
154.44,
145.59,
154.24,
159.11,
161.93,
162.37,
160.0,
167.84,
166.72,
165.13,
165.25,
174.48,
173.76,
172.21,
176.82,
174.02,
171.52,
174.2,
177.22,
181.43,
185.07,
184.3,
179.5,
181.18,
186.44,
189.24,
184.64,
189.94,
194.56,
196.32,
189.84,
190.93,
192.12,
192.54,
194.94,
193.17,
192.05,
195.93,
198.18,
197.04,
201.19,
201.7,
201.94,
198.5,
203.87,
204.19,
199.7,
194.96,
193.94,
195.2,
198.62,
199.64,
198.79,
198.45,
196.95,
202.38,
202.98,
205.41,
208.82,
213.49,
214.41,
216.04,
220.36,
222.38,
219.6,
218.03,
216.52,
214.71,
212.63,
208.59,
208.21,
207.79,
207.24,
210.26,
203.88,
203.04,
204.85,
208.09,
212.87,
212.28,
211.01,
209.7,
204.45,
205.01,
198.51,
201.45,
205.4,
207.41,
212.36,
212.56,
219.3,
221.52,
215.34,
215.3,
214.16,
214.06,
218.89,
223.58,
222.62,
220.14,
218.34,
223.04,
221.75,
226.33,
227.09,
225.8,
225.41,
228.78,
228.53,
227.2,
229.52,
231.37,
230.23,
222.67,
222.86,
222.21,
230.44,
232.85,
234.6,
235.92,
234.23,
233.26,
232.61,
231.07,
228.11,
226.73,
228.99,
230.88,
229.54,
232.22,
235.71,
236.31,
237.8,
239.01,
244.39,
246.11,
245.98,
248.75,
249.78,
249.48,
248.63,
246.49,
249.51,
249.51,
248.17,
243.84,
242.53,
244.5,
249.62,
259.03,
257.35,
258.38,
262.28,
263.32,
267.93,
265.22,
275.2,
276.32,
276.14,
275.83,
277.32,
277.12,
277.38,
274.42,
270.42,
275.8,
268.33,
267.26,
268.91,
270.44,
274.6,
275.83,
281.54,
283.66,
285.57,
284.21,
286.31,
288.43,
289.03,
288.61,
286.78,
285.27,
291.47,
291.84,
293.16,
290.17,
291.79,
295.23,
294.05,
293.16,
292.8,
293.42,
293.82,
294.8,
296.05,
295.55,
298.16,
296.87,
299.18,
297.27,
298.51,
299.64,
300.86,
306.15,
309.55,
311.75,
310.01,
311.68,
310.3,
313.69,
312.31,
304.43,
297.35,
301.31,
300.86,
295.54,
293.84,
295.22,
290.29,
294.1,
290.5,
291.78,
275.28,
270.27,
271.48,
271.32,
267.41,
265.24,
266.78,
265.83,
270.68,
263.65,
265.91,
267.0,
268.49,
267.49,
268.47,
266.83,
270.92,
269.37,
271.88,
270.65,
271.67,
267.8,
266.0,
263.48,
263.66,
266.61,
270.8,
272.93,
277.57,
282.39,
281.52,
280.38,
288.51,
290.86,
290.06,
281.87,
282.88,
283.06,
283.48,
280.28,
279.03,
274.77,
278.94,
281.72,
281.63,
281.51,
283.64,
283.84,
285.79,
284.39,
282.05,
284.03,
283.39,
286.65,
293.68,
294.79,
297.95,
275.35,
275.33,
277.8,
277.43,
273.8,
272.77,
266.09,
264.8,
264.86,
266.27,
263.11,
265.57,
253.44,
255.13,
249.58,
246.82,
261.09,
254.78,
252.95,
255.7,
254.02,
254.24,
249.43,
247.46,
237.74,
236.26,
238.82,
238.77,
237.97,
245.48,
243.06,
241.43,
246.93,
253.05,
249.61,
243.0,
242.63,
237.25,
243.75,
244.49,
241.84,
249.24,
250.89,
250.29,
250.27,
244.52,
243.37,
241.27,
237.79,
236.58,
236.28,
227.36,
222.7,
219.96,
218.49,
218.25,
225.33,
228.51,
233.98,
238.15,
244.84,
245.91,
247.26,
230.03,
233.32,
241.04,
238.99,
242.65,
245.28,
244.73,
246.56,
242.42,
242.74,
242.67,
245.45,
245.16,
253.41,
254.3,
250.36,
252.93,
252.11,
246.12,
246.25,
243.42,
243.04,
245.51,
241.32,
234.22,
231.24,
232.27,
225.92,
227.54,
225.72,
229.64,
226.57,
225.24,
230.4,
231.82,
235.39,
232.43,
235.53,
238.33,
238.31,
241.38,
240.46,
240.56,
240.77,
245.32,
254.39,
256.99,
258.26,
257.0,
263.91,
265.47,
263.85,
264.11,
263.16,
263.07,
261.44,
269.38,
267.44,
265.27,
268.44,
269.69,
270.97,
271.92,
270.74,
301.03,
309.16,
304.22,
304.29,
306.3,
306.57,
308.56,
309.61,
308.54,
309.6,
307.16,
307.81,
308.11,
310.4,
312.45,
312.85,
313.7,
312.72,
311.75,
308.9,
301.95,
298.03,
292.15,
292.07,
298.58,
295.71,
295.91,
291.8,
297.78,
295.29,
291.35,
278.13,
282.46,
286.2,
286.79,
289.47,
293.86,
295.57,
296.05,
296.4,
297.61,
297.75,
295.45,
296.15,
295.7,
297.83,
301.84,
303.05,
302.42,
301.49,
299.76,
300.8,
299.73,
297.28,
302.48,
301.36,
304.84,
307.06,
308.53,
307.41,
308.31,
308.74,
308.65,
312.4,
320.13,
316.19,
313.7,
306.22,
305.85,
310.26,
308.56,
308.7,
300.8,
300.48,
305.83,
306.31,
305.38,
305.8,
307.46,
309.5,
308.56,
308.53,
312.56,
314.39,
312.39,
312.42,
312.94,
315.36,
305.41,
305.97,
304.71,
305.33,
307.01,
300.68,
300.7,
305.08,
300.61,
296.13,
296.45,
296.18,
290.44,
288.64,
285.28,
285.06,
278.83,
280.96,
280.81,
288.54,
288.95,
291.37,
293.74,
290.16,
287.97,
291.16,
291.21,
293.67,
296.2,
294.13,
284.83,
287.38,
290.29,
289.37,
288.97,
285.59,
288.43,
289.54,
265.62,
263.68,
261.03,
263.13,
262.81,
262.79,
266.68,
269.15,
269.25,
272.32,
269.55,
267.21,
268.16,
267.4,
267.92,
269.11,
271.6,
267.99,
267.79,
265.04,
259.47,
265.5,
265.17,
265.89,
262.28,
259.45,
259.39,
260.09,
259.32,
260.71,
264.77,
263.06,
264.29,
261.8,
260.79,
259.77,
259.84,
258.62,
255.01,
252.62,
254.44,
251.73,
250.44,
242.75,
242.53,
246.75,
243.75,
240.35,
237.68,
241.6,
247.07,
249.03,
253.44,
260.78,
266.49,
267.95,
273.57,
266.26,
263.9,
267.27,
269.4,
264.73,
299.11,
297.77,
301.58,
297.97,
303.8,
309.42,
309.8,
311.57,
303.91,
305.78,
302.15,
303.69,
297.37,
300.89,
289.05,
289.81,
273.28,
286.99,
274.78,
281.35,
282.17,
278.89,
269.77,
266.84,
252.69,
245.71,
249.33,
259.67,
261.91,
260.28,
263.69,
269.81,
270.62,
270.75,
266.52,
262.68,
261.35,
267.28,
267.75,
262.69,
265.33,
265.02,
266.3,
271.55,
273.61,
273.61,
273.59,
269.87,
260.59,
263.02,
266.21,
269.94,
264.68,
264.01,
257.78,
248.01,
251.2,
252.6,
257.61,
257.82,
268.85,
271.86,
274.52,
279.77,
296.14,
291.5,
295.55,
290.64,
292.13,
295.54,
298.51,
291.87,
293.45,
299.63,
300.37,
296.62,
289.61,
292.7,
299.05,
298.37,
304.47,
306.48,
300.78,
297.84,
304.48,
306.81,
308.59,
306.04,
300.74,
297.74,
290.76,
290.29,
285.34,
281.78,
294.39,
291.76,
299.99,
307.19,
310.49,
313.14,
312.2,
312.01,
308.33,
314.02,
313.01,
313.13,
309.34,
310.08,
313.29,
311.23,
315.5,
313.22,
315.16,
316.89,
320.45,
320.17,
321.52,
323.27,
333.04,
334.47,
329.83,
325.34,
311.54,
311.88,
313.29,
315.13,
312.81,
314.6,
316.77,
320.1,
293.29,
293.05,
290.76,
285.03,
284.33,
290.28,
289.13,
290.35,
290.71,
292.85,
298.46,
304.85,
303.69,
305.23,
306.04,
303.26,
306.41,
305.18,
303.08,
303.56,
302.62,
307.31,
304.27,
303.36,
305.25,
304.96,
309.5,
309.43,
311.51,
310.94,
307.43,
302.78,
303.7,
303.87,
300.43,
302.88,
309.2,
308.3,
310.88,
312.83,
317.31,
317.06,
320.31,
323.35,
321.62,
324.99,
323.83,
328.21,
324.53,
320.94,
323.78,
321.63,
317.89,
316.48,
315.74,
313.74,
318.3,
325.83,
312.61,
303.34,
305.09,
304.03,
299.95,
298.33,
299.1,
300.94,
305.16,
308.04,
307.8,
302.73,
302.52,
303.93,
305.82,
298.78,
304.08,
306.7,
304.88,
307.14,
302.92,
302.3,
305.86,
314.78,
311.84,
300.5,
307.36,
300.7,
305.03,
302.13,
296.06,
297.47,
294.41,
290.72,
285.78,
289.58,
285.49,
290.58,
289.4,
290.52,
284.53,
282.83,
280.83,
279.8,
282.54,
285.71,
291.06,
289.04,
282.89,
286.03,
280.63,
282.62,
284.94,
282.44,
290.33,
290.53,
294.21,
298.26,
293.28,
293.3,
291.14,
285.88,
285.53,
288.55,
287.75,
288.65,
290.67,
296.83,
305.72,
308.06,
304.09,
304.3,
306.99,
317.8,
316.47,
316.8,
316.66,
314.69,
320.99,
321.73,
320.59,
321.44,
321.5,
321.32,
330.34,
334.66,
334.1,
336.77,
338.91,
338.11,
335.09,
338.93,
338.74,
339.65,
334.94,
338.96,
344.35,
341.18,
342.89,
340.86,
340.7,
350.05,
353.43,
350.74,
346.44,
345.78,
353.37,
355.19,
355.34,
359.5,
364.11,
364.42,
367.36,
375.06,
374.95,
377.11,
378.63,
377.63,
381.27,
378.87,
381.63,
384.41,
384.21,
379.3,
372.42,
372.65,
376.12,
372.75,
370.86,
372.72,
378.12,
347.85,
341.24,
339.67,
340.52,
338.99,
339.22,
337.91,
340.49,
344.14,
344.3,
341.82,
341.2,
333.89,
326.47,
331.85,
333.28,
329.86,
326.6,
323.95,
323.91,
334.44,
335.32,
333.27,
334.32,
330.91,
335.69,
342.18,
346.29,
349.53,
347.97,
345.86,
344.25,
345.91,
342.45,
343.05,
348.79,
349.13,
351.7,
351.33,
360.75,
360.9,
360.42,
361.54,
358.17,
355.1,
354.79,
353.5,
350.36,
354.04,
361.99,
362.2,
369.35,
367.74,
367.02,
369.43,
371.11,
370.36,
361.99,
362.83,
357.95,
356.02,
352.61,
351.79,
371.12,
377.29,
377.21,
375.74,
377.22,
377.29,
378.22,
388.2,
379.89,
383.25,
385.47,
387.36,
393.08,
391.6,
390.74,
391.82,
394.3,
396.84,
403.83,
396.63,
398.16,
400.25,
395.78,
395.46,
400.29,
401.0,
403.5,
411.16,
419.72,
416.11,
416.71,
416.18,
417.83,
414.22,
413.07,
411.18,
407.56,
404.3,
406.07,
407.76,
406.04,
405.56,
405.22,
406.62,
401.73,
397.49,
401.0,
406.93,
403.5,
397.93,
391.92,
387.81,
389.21,
395.49,
395.59,
395.42,
391.36,
397.08,
391.67,
383.34,
400.33,
400.46,
404.35,
407.13,
404.95,
401.11,
409.94,
412.7,
410.63,
415.22,
423.28,
431.21,
429.04,
437.25,
436.18,
440.56,
439.2,
443.99,
458.4,
452.39,
455.04,
454.72,
453.94,
445.15,
441.84,
437.1,
441.08,
434.59,
435.82,
436.04,
434.25,
429.98,
430.28,
432.75,
440.3,
445.56,
440.34,
436.43,
438.94,
437.96,
443.57,
450.76,
450.79,
442.81,
440.91,
435.33,
433.53,
437.26,
438.97,
440.62,
444.38,
441.6,
443.66,
447.19,
453.0,
453.07,
453.45,
460.58,
461.96,
462.81,
460.26,
459.73,
455.8,
448.75,
455.81,
452.35,
451.9,
444.29,
443.12,
441.58,
445.91,
444.32,
452.56,
453.74,
452.95,
448.73,
445.77,
446.78,
445.65,
443.2,
441.07,
435.34,
430.26,
428.88,
433.26,
433.14,
435.1,
437.29,
435.54,
433.63,
425.5,
424.7,
428.14,
423.87,
430.62,
436.25,
440.22,
440.23,
444.47,
444.78,
448.54,
446.98,
444.98,
444.32,
443.5,
452.11,
449.64,
452.01,
443.69,
443.86,
439.05,
439.52,
438.63,
438.39,
443.95,
444.44,
438.48,
436.61,
433.3,
427.26,
428.36,
434.55,
436.43,
438.49,
441.45,
449.46,
444.84,
506.21,
502.15,
504.0,
516.22,
513.29,
508.11,
508.01,
518.64,
515.73,
515.81,
514.03,
513.57,
511.27,
511.89,
504.48,
508.52,
505.8,
506.4,
516.75,
518.13,
517.3,
516.29,
513.12,
511.67,
517.55,
516.46,
523.49,
529.73,
532.09,
530.32,
527.77,
527.16,
529.62,
529.2,
535.47,
539.61,
542.87,
539.18,
535.51,
530.92,
537.03,
535.46,
542.92,
543.65,
550.86,
558.11,
556.48,
559.29,
559.76,
555.28,
560.92,
557.12,
553.05,
559.22,
570.0,
571.19,
565.69,
565.66,
562.05,
575.27,
574.88,
578.69,
575.84,
582.43,
583.09,
580.63,
562.48,
551.17,
562.07,
554.01,
568.26,
591.08,
567.28,
569.65,
572.17,
580.56,
589.31,
587.05,
595.69,
593.94,
600.55,
602.0,
606.05,
601.77,
602.66,
602.5,
606.86,
610.61,
610.7,
610.22,
608.43,
601.95,
608.06,
609.74,
610.42,
608.0,
606.39,
600.6,
604.25,
595.12,
586.99,
596.65,
606.24,
600.22,
599.18,
592.11,
579.54,
579.94,
566.55,
557.7,
560.64,
557.81,
568.01,
568.12,
571.5,
545.25,
540.63,
557.51,
567.04,
546.69,
537.76,
545.2,
548.7,
563.9,
543.34,
539.37,
545.5,
537.51,
534.44,
523.1,
522.98,
536.33,
534.88,
538.53,
533.87,
535.33,
522.57,
518.0,
520.17,
526.62,
538.43,
541.54,
534.41,
529.12,
528.3,
538.83,
540.39,
549.7,
555.45,
563.8,
574.87,
570.45,
570.56,
571.65,
564.34,
554.51,
553.76,
564.93,
566.03,
570.73,
568.3,
567.5,
559.5,
560.35,
552.3,
550.62,
560.66,
564.99,
566.52,
574.29,
572.54,
585.93,
584.77,
585.69,
584.67,
591.49,
590.78,
593.08,
590.76,
578.4,
583.36,
580.04,
586.65,
594.26,
593.06,
590.62,
580.82,
605.11,
598.44,
603.57,
605.19,
603.01,
598.08,
599.02,
593.95,
595.44,
579.55,
573.6,
582.27,
573.14,
574.49,
571.81,
577.94,
577.25,
572.12,
584.56,
584.65,
583.71,
592.7,
597.11,
595.41,
592.42,
592.54,
590.57,
588.12,
583.0,
580.32,
582.36,
588.63,
589.52,
593.14,
597.78,
601.63,
591.97,
593.42,
591.11,
584.9,
581.64,
588.78,
593.29,
597.27,
605.4,
597.27,
591.18,
598.42,
585.25,
587.9,
587.81,
588.41,
579.63,
580.88,
586.25,
587.78,
574.1,
583.74,
570.81,
555.19,
544.75,
548.69,
540.73,
536.92,
522.97,
532.38,
538.03,
542.69,
553.65,
548.9,
549.88,
558.94,
558.45,
560.27,
567.87,
563.77,
564.19,
555.95,
551.69,
551.82,
558.23,
561.29,
558.25,
556.44,
555.19,
546.64,
544.51,
547.2,
543.76,
545.89,
547.48,
549.23,
547.73,
549.08,
539.65,
538.59,
536.97,
542.58,
528.08,
530.73,
536.11,
528.04,
532.11,
521.51,
515.84,
498.16,
506.45,
514.62,
520.04,
532.3,
538.77,
536.93,
541.52,
537.31,
535.28,
530.66,
529.55,
519.46,
506.64,
505.15,
506.91,
500.72,
497.06,
501.8,
505.93,
504.01,
510.46,
509.94,
520.39,
537.3,
541.95,
536.72,
521.19,
512.43,
513.23,
537.55,
532.2,
533.3,
526.1,
529.83,
533.88,
529.28,
540.16,
538.0,
546.01,
551.16,
545.01,
542.65,
546.45,
541.8,
535.0,
538.65,
547.33,
559.29,
562.63,
575.02,
578.8,
578.33,
581.44,
572.9,
574.1,
559.85,
555.69,
561.17,
553.0,
561.64,
557.61,
566.16,
563.67,
564.95,
565.37,
577.54,
567.0,
563.64,
557.55,
561.14,
554.7,
549.49,
541.31,
543.95,
544.86,
548.84,
548.02,
548.54,
548.64,
539.78,
541.04,
543.52,
532.74,
544.53,
542.92,
549.18,
557.46,
573.66,
566.12,
564.37,
561.39,
548.77,
551.16,
552.84,
543.04,
535.08,
542.04,
548.95,
545.78,
538.73,
539.49,
549.2,
546.49,
546.67,
549.28,
552.51,
556.81,
554.52,
547.19,
554.25,
554.18,
545.32,
549.21,
553.95,
555.29,
551.69,
549.53,
543.48,
542.16,
552.6,
550.04,
547.47,
543.0,
544.87,
546.6,
556.18,
557.52,
559.68,
563.39,
558.57,
557.95,
553.06,
541.25,
540.04,
543.3,
547.34,
545.62,
550.03,
541.7,
544.65,
556.11,
571.73,
584.18,
583.96,
601.78,
699.62,
692.84,
695.35,
695.1,
674.73,
654.77,
658.27,
659.66,
661.43,
664.56,
657.5,
664.72,
661.28,
673.29,
670.15,
664.39,
663.14,
690.3,
691.47,
686.51,
689.37,
694.11,
688.73,
694.04,
679.48,
644.03,
618.11,
612.47,
659.74,
667.96,
659.69,
647.82,
629.56,
644.91,
637.05,
628.96,
643.88,
643.41,
651.08,
655.3,
652.47,
665.07,
665.52,
671.67,
660.92,
666.98,
653.2,
653.29,
654.91,
640.15,
624.25,
622.61,
638.37,
642.0,
656.99,
671.68,
671.64,
670.0,
667.0,
671.24,
676.43,
683.17,
680.41,
693.02,
695.32,
699.95,
680.0,
671.8,
681.14,
719.33,
731.12,
732.82,
736.92,
744.85,
737.39,
747.74,
748.82,
755.31,
760.67,
761.6,
754.77,
758.26,
765.25,
756.53,
740.07,
750.42,
745.98,
760.01,
759.94,
777.0,
776.7,
769.63,
769.26,
771.97,
762.85,
783.79,
777.85,
768.2,
779.21,
772.99,
775.14,
762.55,
760.04,
750.42,
762.54,
760.09,
776.59,
769.83,
756.85,
760.8,
767.13,
768.51,
765.84,
782.24,
793.96,
790.3,
778.01,
759.44,
761.53,
759.33,
741.0,
730.91,
733.07,
745.34,
719.57,
731.39,
710.49,
719.08,
718.56,
726.67,
745.46,
733.62,
733.79,
717.58,
748.3,
761.35,
770.77,
780.91,
749.38,
730.03,
703.76,
704.16,
701.02,
706.85,
706.36,
706.89,
717.64,
731.97,
717.51,
722.11,
729.05,
717.29,
720.9,
729.12,
724.86,
717.22,
742.17,
739.48,
731.59,
730.22,
712.8,
713.53,
725.41,
732.17,
744.87,
750.24,
750.57,
757.36,
758.48,
755.41,
762.16,
760.05,
757.56,
754.84,
753.28,
765.89,
768.34,
762.9,
769.67,
765.12,
758.57,
768.07,
760.12,
759.47,
757.54,
764.32,
771.91,
775.39,
780.0,
787.68,
776.25,
774.92,
780.0,
737.77,
742.21,
725.37,
721.46,
705.06,
707.88,
714.41,
708.44,
711.37,
714.71,
725.18,
729.13,
739.38,
730.55,
728.07,
724.83,
730.3,
720.19,
721.78,
715.31,
721.71,
717.25,
733.03,
738.1,
736.93,
747.6,
748.85,
748.46,
744.27,
735.86,
730.06,
731.09,
742.93,
742.52,
733.19,
731.88,
733.25,
732.19,
724.25,
704.25,
706.13,
708.88,
710.47,
714.87,
685.2,
681.14,
691.26,
695.19,
703.53,
710.25,
704.89,
708.97,
707.26,
717.78,
727.2,
732.51,
729.48,
735.8,
735.63,
753.2,
753.41,
757.08,
754.41,
759.28,
757.52,
757.65,
761.97,
765.84,
791.34,
800.94,
800.12,
798.92,
797.25,
806.93,
805.23,
807.48,
808.49,
808.2,
807.05,
805.96,
801.19,
805.42,
802.75,
799.65,
796.95,
796.59,
793.6,
791.3,
793.22,
795.82,
791.92,
789.85,
791.4,
796.87,
808.02,
807.99,
802.84,
788.48,
798.82,
788.72,
790.46,
801.23,
797.97,
795.39,
799.78,
805.03,
815.95,
814.96,
802.65,
810.73,
810.06,
802.64,
804.06,
800.38,
802.79,
801.23,
803.08,
800.71,
814.17,
809.57,
811.77,
804.08,
804.6,
806.84,
821.49,
827.09,
821.63,
824.06,
835.74,
828.55,
822.1,
817.35,
819.56,
809.9,
805.48,
788.42,
782.19,
781.1,
802.03,
811.98,
805.59,
780.29,
771.75,
753.22,
775.16,
779.98,
786.16,
775.97,
784.8,
785.0,
779.0,
780.23,
785.79,
789.44,
775.88,
764.33,
764.46,
778.22,
776.18,
791.47,
795.17,
809.45,
807.9,
815.34,
817.89,
815.65,
809.84,
812.5,
815.2,
812.2,
809.68,
807.8,
809.93,
804.57,
802.88,
792.45,
808.01,
807.77,
813.02,
825.21,
827.18,
826.01,
829.86,
829.53,
830.94,
827.46,
829.02,
824.37,
828.17,
844.43,
849.53,
858.45,
856.98,
845.03,
823.83,
820.19,
815.24,
818.26,
820.13,
821.62,
829.23,
829.88,
830.06,
834.85,
838.96,
840.03,
837.32,
842.17,
846.55,
849.27,
851.36,
851.0,
847.81,
849.67,
844.93,
856.75,
849.85,
849.08,
847.27,
851.15,
853.64,
857.84,
861.4,
864.58,
865.91,
868.39,
870.0,
872.37,
867.91,
850.14,
849.8,
839.65,
835.14,
838.51,
840.63,
849.87,
849.48,
847.8,
856.75,
852.57,
848.91,
845.1,
842.1,
841.7,
839.88,
841.46,
840.18,
855.13,
853.99,
856.51,
860.08,
858.95,
878.93,
888.84,
889.14,
891.44,
924.52,
932.82,
937.09,
948.45,
954.72,
950.28,
958.69,
956.71,
954.84,
955.89,
955.14,
959.22,
964.61,
942.17,
950.5,
954.65,
964.07,
970.55,
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264.18,
268.69,
267.06,
266.74,
266.2,
265.58,
264.39,
270.27,
270.24,
268.87,
269.07,
272.57,
273.27,
274.02,
272.9,
301.12,
310.15,
307.72,
309.0,
308.31,
307.72,
312.68,
310.93,
310.31,
310.81,
309.81,
310.64,
310.31,
311.23,
315.27,
313.06,
315.06,
315.74,
311.81,
310.23,
308.76,
302.3,
299.24,
295.04,
300.29,
299.24,
297.02,
294.8,
298.6,
296.79,
295.19,
287.45,
286.07,
286.95,
288.53,
291.29,
296.8,
296.56,
298.09,
297.29,
301.8,
299.44,
298.52,
297.18,
296.58,
299.24,
302.66,
303.8,
303.3,
302.19,
302.24,
301.51,
300.97,
299.51,
303.1,
303.39,
305.47,
309.52,
309.43,
308.0,
309.71,
309.98,
310.14,
312.45,
321.32,
321.8,
317.36,
321.19,
306.55,
310.66,
311.56,
310.16,
310.49,
302.54,
306.98,
307.48,
306.03,
306.03,
309.5,
310.12,
310.03,
309.06,
312.81,
315.13,
315.36,
313.56,
313.94,
315.91,
312.78,
307.66,
306.85,
307.67,
308.55,
309.92,
303.3,
306.05,
304.79,
302.15,
299.29,
297.55,
293.6,
290.29,
289.43,
285.79,
285.18,
284.78,
284.28,
290.19,
289.9,
291.52,
294.49,
293.75,
292.79,
291.24,
293.04,
294.37,
297.89,
297.67,
291.04,
287.87,
290.61,
292.74,
289.34,
288.75,
289.09,
290.01,
273.15,
264.1,
265.71,
263.67,
264.4,
263.76,
268.99,
269.32,
269.89,
272.32,
273.14,
271.28,
269.77,
269.98,
271.0,
269.51,
272.49,
272.05,
268.74,
268.23,
263.9,
265.88,
265.43,
268.54,
266.26,
260.26,
262.24,
261.65,
261.32,
261.16,
264.79,
266.87,
265.42,
264.06,
263.67,
262.58,
260.88,
260.26,
258.6,
255.36,
257.3,
254.43,
254.32,
253.6,
243.36,
247.22,
246.42,
241.67,
240.62,
244.4,
248.35,
250.38,
253.59,
260.85,
267.97,
269.52,
275.62,
269.09,
268.26,
269.98,
272.27,
271.27,
300.43,
301.33,
302.64,
301.72,
304.33,
310.06,
313.02,
314.06,
310.79,
308.3,
307.79,
308.06,
299.71,
301.8,
299.72,
295.3,
284.78,
287.59,
282.34,
284.53,
285.54,
282.78,
276.5,
272.12,
262.71,
257.69,
253.75,
260.97,
265.26,
268.9,
265.49,
270.0,
271.77,
273.42,
272.19,
264.22,
261.64,
268.24,
269.82,
267.59,
266.26,
267.21,
268.74,
272.76,
273.69,
275.22,
279.54,
277.78,
264.65,
263.47,
266.73,
273.8,
272.28,
268.92,
262.26,
256.26,
251.97,
254.15,
257.87,
260.51,
269.0,
273.67,
277.89,
279.78,
300.1,
296.21,
296.58,
296.33,
294.74,
296.67,
300.28,
297.8,
295.39,
301.65,
301.45,
300.14,
293.05,
294.27,
299.05,
300.17,
304.69,
307.49,
305.0,
303.28,
306.35,
309.35,
309.35,
309.46,
306.45,
302.55,
294.54,
292.78,
290.42,
287.42,
294.7,
295.48,
300.05,
308.31,
312.31,
316.27,
314.62,
313.14,
314.04,
314.88,
313.4,
318.6,
312.47,
312.31,
314.97,
314.56,
316.24,
316.23,
316.18,
317.66,
322.57,
322.82,
321.82,
323.7,
334.41,
335.46,
332.32,
330.33,
323.82,
317.22,
315.01,
316.76,
313.79,
316.31,
317.32,
320.82,
295.8,
294.62,
294.13,
289.64,
287.53,
290.45,
290.29,
292.29,
293.04,
293.5,
298.83,
305.72,
305.0,
305.98,
307.56,
304.37,
307.23,
306.31,
306.77,
304.71,
304.12,
309.25,
308.7,
304.27,
306.13,
306.49,
310.19,
313.11,
313.16,
312.31,
311.56,
304.71,
305.9,
306.06,
306.26,
303.8,
309.23,
311.7,
312.06,
313.27,
318.95,
318.35,
324.02,
324.72,
324.57,
325.07,
327.08,
329.62,
328.62,
327.07,
324.07,
324.3,
319.82,
318.53,
317.98,
317.57,
318.32,
326.9,
324.82,
312.22,
309.15,
306.71,
308.44,
304.73,
299.52,
303.62,
305.98,
309.31,
308.68,
308.35,
306.11,
304.36,
307.72,
304.25,
305.59,
308.76,
308.5,
308.4,
307.58,
304.55,
307.81,
315.37,
319.24,
316.53,
308.16,
307.21,
305.1,
306.27,
301.17,
299.86,
296.25,
295.29,
286.61,
290.54,
289.35,
291.28,
294.24,
290.79,
292.95,
285.44,
283.78,
282.82,
282.54,
287.39,
292.43,
290.29,
290.21,
286.03,
284.33,
283.58,
287.28,
283.4,
290.36,
291.79,
294.5,
300.33,
297.06,
294.59,
296.51,
289.21,
286.25,
289.86,
289.88,
290.63,
292.14,
299.54,
306.78,
309.48,
309.27,
307.0,
308.74,
317.82,
321.62,
318.57,
320.07,
319.33,
322.18,
325.01,
322.45,
323.26,
323.51,
321.44,
330.41,
336.76,
337.46,
337.66,
338.96,
339.77,
339.34,
340.64,
340.58,
340.57,
336.34,
339.15,
344.84,
344.04,
344.63,
342.84,
343.59,
350.29,
356.48,
356.76,
350.68,
347.8,
354.85,
356.86,
356.8,
359.69,
364.64,
366.06,
367.83,
375.4,
382.83,
381.0,
381.8,
380.03,
382.88,
383.38,
382.34,
385.33,
387.58,
382.17,
381.04,
374.14,
379.63,
377.81,
372.29,
373.87,
378.55,
380.09,
353.7,
342.66,
344.01,
343.84,
341.34,
341.86,
340.84,
345.8,
348.12,
343.77,
343.59,
339.46,
336.08,
334.5,
335.23,
334.13,
331.42,
330.33,
326.83,
334.79,
339.34,
335.23,
335.33,
333.83,
337.84,
342.8,
347.3,
349.96,
353.3,
348.1,
347.6,
348.15,
348.79,
346.17,
351.31,
352.11,
358.6,
354.26,
369.51,
364.91,
361.86,
362.69,
359.77,
357.95,
356.8,
354.77,
353.81,
355.64,
363.86,
366.33,
371.11,
370.06,
368.52,
369.54,
372.87,
371.58,
371.47,
367.87,
362.53,
360.18,
356.74,
353.02,
374.87,
378.79,
379.62,
378.18,
378.85,
380.86,
379.19,
388.7,
385.62,
385.94,
386.87,
389.79,
393.73,
391.89,
394.34,
393.07,
394.76,
397.03,
403.9,
404.89,
403.13,
401.03,
404.61,
398.37,
402.78,
403.9,
403.97,
411.83,
420.5,
422.42,
418.73,
417.88,
420.27,
416.36,
415.76,
413.91,
410.56,
406.79,
410.03,
409.16,
408.87,
408.03,
410.02,
407.41,
403.9,
403.09,
401.53,
407.82,
407.51,
403.28,
393.89,
390.16,
392.27,
396.57,
396.95,
396.45,
398.9,
398.4,
395.82,
393.29,
402.12,
402.38,
408.16,
409.41,
408.64,
404.27,
411.76,
414.23,
412.77,
417.69,
423.82,
431.36,
432.37,
437.38,
440.27,
440.71,
441.68,
444.79,
458.65,
460.45,
457.2,
460.76,
456.29,
455.11,
445.42,
439.85,
446.52,
439.43,
439.89,
438.94,
437.42,
435.73,
435.16,
433.6,
440.44,
445.95,
443.94,
443.44,
440.27,
442.79,
445.16,
450.95,
455.88,
450.95,
445.38,
438.6,
440.28,
439.44,
442.79,
441.36,
446.49,
445.95,
445.03,
448.15,
453.59,
456.93,
456.02,
460.87,
461.96,
464.46,
464.45,
463.89,
460.46,
451.93,
456.79,
456.96,
455.61,
448.87,
445.44,
447.86,
448.25,
448.7,
452.73,
453.95,
453.22,
455.31,
449.67,
448.37,
448.21,
443.94,
444.69,
440.56,
432.89,
431.65,
436.44,
436.49,
438.89,
437.81,
439.44,
437.89,
432.3,
428.13,
430.62,
429.45,
433.53,
437.19,
440.38,
442.33,
445.32,
446.45,
448.93,
449.4,
448.29,
448.95,
444.64,
452.44,
453.45,
452.52,
451.25,
445.5,
443.72,
441.82,
439.2,
440.86,
444.28,
445.12,
447.5,
439.19,
437.43,
433.42,
431.76,
434.85,
437.18,
438.56,
443.26,
449.61,
448.9,
508.24,
510.01,
507.01,
517.89,
520.81,
514.92,
512.23,
518.99,
519.27,
521.28,
518.52,
516.7,
516.34,
514.01,
512.48,
509.76,
508.47,
509.29,
516.94,
520.39,
519.52,
524.89,
517.89,
517.2,
519.67,
518.6,
527.12,
531.28,
534.53,
533.84,
533.71,
532.25,
532.52,
530.36,
535.53,
541.7,
546.7,
546.21,
542.01,
538.68,
537.88,
540.92,
543.02,
546.54,
551.14,
558.46,
558.18,
560.06,
560.7,
560.81,
561.06,
559.43,
559.02,
559.99,
570.41,
574.23,
572.68,
570.11,
574.03,
576.08,
578.08,
579.54,
580.9,
582.58,
584.53,
581.83,
577.35,
563.81,
563.44,
561.44,
576.82,
593.86,
591.45,
578.08,
575.96,
580.66,
589.54,
591.79,
596.53,
595.59,
600.55,
602.8,
607.04,
605.22,
604.05,
605.54,
610.69,
612.86,
615.05,
612.73,
612.71,
604.52,
608.61,
612.15,
613.69,
614.11,
609.43,
607.77,
604.53,
605.86,
596.03,
599.13,
606.37,
606.6,
605.41,
605.42,
593.04,
585.5,
586.37,
566.54,
567.16,
568.07,
569.32,
572.97,
588.3,
579.72,
549.85,
559.88,
567.8,
568.21,
547.59,
553.02,
552.89,
564.0,
557.0,
544.0,
548.0,
544.8,
542.5,
533.86,
525.9,
537.76,
536.34,
539.91,
542.4,
535.72,
534.55,
524.43,
527.35,
527.35,
538.75,
543.99,
541.82,
534.0,
530.84,
539.35,
546.35,
549.75,
557.96,
565.0,
574.87,
577.66,
573.48,
572.58,
570.41,
562.4,
558.58,
565.0,
568.8,
572.0,
572.0,
568.97,
567.0,
560.65,
557.99,
553.74,
561.4,
565.0,
566.77,
574.44,
582.25,
587.3,
589.6,
587.88,
587.71,
593.66,
594.15,
594.25,
595.64,
587.97,
584.1,
585.25,
588.23,
594.86,
595.3,
597.0,
589.5,
606.7,
604.16,
608.89,
607.05,
608.91,
601.0,
601.1,
598.49,
598.45,
591.99,
583.43,
583.82,
580.2,
578.64,
578.31,
579.56,
579.69,
575.9,
586.12,
587.8,
589.47,
595.05,
597.81,
596.99,
595.25,
594.99,
595.58,
592.05,
589.37,
584.71,
582.9,
589.3,
594.49,
598.0,
598.5,
603.52,
600.6,
593.72,
591.94,
591.48,
583.92,
590.15,
596.07,
597.56,
605.4,
603.8,
596.65,
600.11,
598.07,
589.57,
589.31,
591.0,
588.72,
583.24,
588.29,
592.4,
585.85,
584.69,
582.53,
575.23,
560.88,
558.63,
543.92,
540.99,
543.45,
533.16,
538.77,
550.76,
557.4,
555.0,
554.0,
559.2,
564.97,
562.5,
568.73,
567.15,
564.79,
566.9,
556.8,
555.6,
560.63,
562.5,
561.25,
560.82,
558.0,
555.19,
552.79,
548.22,
545.38,
551.04,
551.19,
552.5,
549.88,
549.6,
548.79,
541.85,
541.4,
542.69,
538.2,
533.82,
536.65,
539.36,
537.04,
532.24,
525.37,
515.58,
509.07,
516.25,
520.81,
532.97,
542.3,
540.29,
543.25,
543.93,
537.84,
538.4,
535.8,
527.99,
521.21,
511.49,
507.5,
508.6,
500.28,
508.6,
508.26,
509.75,
510.85,
515.61,
521.85,
538.84,
545.41,
541.5,
532.78,
525.69,
515.19,
543.1,
536.5,
537.45,
536.75,
530.69,
540.22,
533.88,
541.0,
541.95,
548.34,
552.54,
553.0,
547.55,
546.86,
547.58,
539.3,
539.4,
549.57,
560.13,
569.42,
575.99,
580.85,
581.63,
583.2,
582.78,
575.45,
569.76,
564.18,
561.84,
564.36,
563.75,
560.64,
566.51,
566.96,
567.1,
569.64,
581.88,
580.07,
567.19,
564.07,
562.16,
562.45,
558.5,
548.0,
545.54,
550.16,
551.5,
549.37,
549.85,
553.27,
546.57,
543.19,
545.23,
539.8,
545.8,
547.77,
551.0,
561.17,
584.7,
575.52,
567.83,
565.84,
561.11,
551.22,
556.69,
552.61,
543.93,
545.2,
552.8,
553.37,
542.96,
543.84,
549.69,
550.6,
548.34,
553.4,
556.06,
557.61,
558.24,
553.33,
555.29,
555.76,
553.94,
550.57,
558.79,
557.99,
555.96,
553.33,
549.87,
544.84,
554.78,
554.83,
548.85,
544.05,
546.69,
548.36,
557.25,
557.91,
565.61,
564.9,
562.64,
563.14,
560.0,
550.9,
545.9,
545.81,
548.0,
548.58,
551.0,
548.28,
548.88,
559.29,
572.85,
589.71,
588.69,
604.5,
703.0,
697.8,
705.6,
713.33,
696.07,
677.79,
667.07,
664.1,
663.33,
668.05,
665.0,
666.67,
668.0,
679.91,
674.75,
668.8,
671.62,
704.0,
696.0,
694.03,
692.26,
694.74,
695.76,
700.2,
696.16,
672.89,
644.33,
647.0,
662.48,
673.98,
667.0,
664.41,
644.44,
645.06,
651.25,
634.5,
645.04,
657.36,
654.9,
655.31,
655.92,
668.85,
668.07,
681.99,
669.84,
669.0,
658.82,
660.28,
656.77,
658.58,
642.85,
634.68,
639.31,
643.84,
658.26,
673.03,
678.8,
678.74,
671.89,
674.08,
677.98,
688.46,
690.04,
694.16,
696.22,
700.24,
698.0,
684.9,
688.05,
752.5,
734.95,
735.96,
737.37,
746.79,
746.31,
748.18,
751.7,
759.9,
766.35,
763.02,
763.3,
760.6,
769.08,
765.8,
755.33,
751.71,
754.95,
761.1,
763.23,
779.32,
782.9,
775.99,
773.0,
774.0,
775.03,
785.0,
793.05,
784.48,
782.42,
781.0,
778.65,
776.09,
766.07,
757.44,
764.15,
774.75,
781.5,
781.59,
774.14,
766.35,
770.34,
771.9,
769.2,
782.82,
798.69,
796.46,
788.33,
762.2,
769.2,
765.73,
755.31,
750.12,
735.08,
748.34,
753.0,
739.89,
724.16,
725.35,
726.95,
737.67,
748.56,
752.46,
739.46,
735.89,
751.16,
765.1,
777.59,
810.35,
791.43,
745.24,
726.72,
704.52,
720.96,
723.22,
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197.7,
197.12,
196.2,
195.2,
202.61,
202.51,
205.56,
209.47,
211.91,
212.21,
217.47,
219.95,
217.28,
216.1,
213.55,
214.4,
210.82,
207.21,
207.92,
205.99,
206.71,
207.5,
201.15,
201.48,
203.48,
203.46,
206.76,
211.33,
209.32,
209.28,
203.61,
201.03,
198.19,
199.23,
203.1,
204.55,
207.8,
210.65,
214.46,
217.27,
213.56,
213.34,
213.07,
211.96,
212.96,
217.72,
219.02,
218.27,
216.16,
221.53,
221.44,
224.04,
224.44,
224.16,
224.49,
227.72,
227.12,
226.42,
227.69,
229.68,
228.67,
221.78,
221.38,
219.5,
225.84,
231.56,
232.44,
234.59,
233.58,
230.6,
231.92,
229.23,
227.44,
226.52,
227.73,
228.12,
228.15,
229.63,
231.23,
234.05,
235.26,
236.59,
239.48,
243.82,
245.86,
243.35,
249.15,
249.1,
246.75,
246.25,
246.89,
246.75,
243.86,
243.74,
241.54,
241.91,
246.1,
249.15,
256.93,
257.51,
259.92,
260.95,
265.26,
263.9,
272.54,
274.64,
270.62,
274.77,
274.27,
275.88,
275.72,
272.35,
269.39,
270.77,
267.39,
264.38,
264.41,
268.48,
271.6,
273.02,
277.39,
281.28,
283.21,
283.03,
283.59,
286.68,
287.15,
286.32,
285.28,
284.98,
288.22,
288.56,
291.64,
285.77,
288.84,
291.79,
293.4,
292.79,
289.88,
290.79,
291.29,
292.08,
295.5,
294.16,
296.6,
295.79,
298.62,
297.18,
297.8,
298.13,
299.72,
301.73,
306.44,
309.55,
309.45,
309.31,
310.3,
312.43,
311.08,
303.48,
296.62,
294.85,
297.32,
294.29,
287.24,
291.7,
289.31,
288.43,
287.93,
286.41,
267.7,
268.02,
268.41,
267.92,
265.57,
263.07,
265.42,
264.07,
264.38,
263.04,
261.49,
266.03,
267.8,
264.11,
265.01,
265.52,
267.42,
269.07,
268.34,
270.12,
270.77,
266.41,
265.52,
260.26,
262.0,
264.13,
267.77,
269.89,
273.37,
280.23,
280.79,
278.53,
281.39,
287.39,
289.87,
278.28,
280.66,
282.41,
281.76,
278.92,
277.42,
271.27,
270.12,
279.61,
280.29,
280.57,
280.42,
281.69,
284.78,
282.98,
281.21,
280.3,
282.28,
283.39,
285.85,
292.3,
294.44,
275.09,
272.77,
275.81,
276.36,
271.95,
271.41,
264.87,
263.88,
260.78,
263.6,
262.98,
262.8,
252.36,
250.49,
230.23,
240.91,
256.56,
254.36,
251.25,
255.44,
248.37,
249.42,
248.78,
244.11,
237.14,
232.43,
238.64,
232.24,
237.74,
240.77,
241.74,
240.3,
240.97,
247.6,
248.6,
241.82,
239.01,
236.24,
238.16,
241.05,
241.84,
241.33,
248.3,
248.59,
249.31,
242.69,
243.11,
239.32,
236.87,
235.52,
234.74,
225.79,
222.58,
217.03,
218.22,
217.03,
217.91,
225.05,
231.62,
235.78,
240.38,
243.47,
241.58,
229.99,
228.99,
230.53,
237.95,
241.48,
240.25,
242.68,
245.33,
241.58,
239.9,
239.81,
243.71,
243.62,
245.77,
252.03,
248.27,
250.93,
249.53,
246.0,
241.5,
243.25,
240.49,
243.26,
241.02,
233.86,
230.74,
229.09,
225.69,
225.22,
225.45,
224.05,
226.44,
224.22,
226.48,
230.39,
233.95,
231.74,
232.49,
235.53,
237.78,
240.0,
240.28,
239.49,
239.94,
240.83,
246.28,
254.71,
256.1,
255.91,
259.39,
264.69,
259.48,
262.62,
259.72,
261.76,
259.68,
263.54,
265.24,
264.83,
264.07,
268.85,
269.16,
271.44,
268.82,
296.1,
300.58,
301.73,
304.05,
303.3,
305.33,
307.79,
305.82,
306.47,
306.96,
306.8,
305.91,
307.6,
307.06,
311.36,
310.87,
311.88,
310.57,
309.06,
307.41,
300.91,
297.32,
292.02,
290.98,
294.57,
295.47,
291.67,
289.39,
293.82,
293.79,
290.26,
276.93,
281.48,
282.96,
284.28,
288.59,
293.29,
292.14,
294.79,
295.44,
297.34,
296.54,
294.87,
294.33,
294.13,
294.62,
299.11,
301.94,
301.32,
300.05,
299.3,
299.76,
298.99,
296.31,
298.54,
300.36,
300.33,
305.33,
305.37,
304.58,
307.56,
307.69,
307.39,
308.85,
312.95,
315.14,
311.96,
305.99,
300.92,
303.56,
307.95,
306.93,
300.18,
298.07,
301.86,
304.07,
303.37,
303.61,
304.91,
307.56,
306.48,
306.09,
306.81,
310.33,
311.86,
311.36,
310.45,
312.4,
304.19,
302.3,
300.98,
305.05,
304.31,
299.95,
297.89,
302.8,
300.4,
293.79,
295.4,
293.17,
290.01,
286.95,
284.29,
278.03,
275.92,
280.55,
280.15,
284.79,
286.54,
286.29,
289.69,
289.91,
287.64,
286.79,
290.58,
291.16,
294.67,
291.84,
283.12,
284.28,
287.38,
289.32,
286.79,
284.31,
286.16,
286.34,
265.3,
259.76,
260.71,
260.96,
261.46,
261.27,
262.87,
267.44,
267.31,
269.52,
268.83,
265.08,
266.78,
266.02,
267.86,
265.82,
269.04,
267.11,
265.72,
264.79,
258.46,
257.77,
263.11,
265.12,
261.83,
256.96,
259.33,
258.88,
257.76,
258.41,
262.01,
262.92,
261.5,
261.01,
259.88,
259.75,
258.15,
258.08,
254.9,
251.34,
253.75,
250.56,
248.58,
242.64,
239.85,
242.61,
243.61,
237.1,
236.75,
237.0,
242.25,
246.44,
251.0,
253.44,
262.91,
266.79,
268.21,
263.9,
263.01,
263.26,
268.51,
263.63,
294.37,
296.3,
298.06,
297.97,
297.3,
302.44,
306.81,
308.92,
302.68,
301.8,
302.15,
299.89,
292.1,
292.1,
289.02,
281.28,
272.45,
270.78,
274.14,
274.48,
280.48,
273.3,
265.42,
265.65,
250.5,
245.68,
247.51,
249.78,
258.87,
259.41,
256.83,
267.05,
265.67,
268.27,
265.87,
260.63,
255.51,
263.96,
266.22,
260.86,
259.01,
261.96,
263.17,
267.55,
271.84,
267.96,
271.61,
269.7,
257.26,
257.51,
256.88,
268.29,
264.11,
259.96,
257.45,
247.75,
240.54,
240.63,
251.55,
255.41,
261.86,
267.0,
272.59,
274.28,
294.08,
289.29,
288.99,
289.9,
290.04,
293.64,
293.54,
291.72,
286.72,
296.95,
297.42,
296.13,
288.66,
290.53,
292.15,
296.51,
296.41,
302.1,
299.63,
296.08,
299.6,
304.19,
305.56,
305.61,
298.69,
297.17,
286.33,
287.91,
285.34,
280.95,
288.54,
290.96,
296.34,
299.8,
308.44,
311.51,
310.43,
309.36,
307.96,
308.81,
310.46,
311.74,
306.55,
309.65,
311.05,
310.31,
314.31,
309.79,
313.82,
315.6,
316.32,
319.37,
317.92,
321.33,
326.51,
330.64,
328.44,
325.22,
310.93,
308.76,
310.87,
313.56,
310.84,
313.15,
311.37,
316.05,
291.14,
291.87,
289.29,
283.47,
282.56,
284.95,
286.99,
287.86,
289.86,
291.33,
294.32,
297.3,
302.18,
302.67,
304.8,
302.3,
305.32,
302.68,
301.58,
299.16,
301.5,
301.74,
303.66,
300.48,
303.06,
302.83,
304.14,
308.06,
309.38,
310.47,
306.0,
297.22,
303.23,
303.48,
300.3,
299.93,
303.08,
307.04,
307.72,
310.34,
310.93,
313.95,
316.57,
315.82,
320.77,
320.09,
322.72,
325.87,
322.47,
320.82,
317.74,
319.64,
315.87,
314.6,
312.96,
312.59,
315.97,
320.45,
312.08,
301.13,
303.81,
301.71,
299.8,
298.21,
295.4,
298.96,
301.74,
305.15,
305.61,
300.6,
300.4,
300.61,
304.78,
298.7,
297.8,
300.65,
301.21,
305.42,
302.69,
300.59,
302.18,
308.28,
310.93,
298.65,
300.3,
298.3,
298.86,
299.73,
294.43,
294.45,
292.06,
289.79,
284.46,
285.29,
283.52,
287.09,
288.91,
287.58,
283.63,
279.57,
279.62,
278.54,
278.82,
279.9,
286.85,
287.04,
282.15,
283.19,
278.95,
280.02,
283.29,
278.88,
286.39,
288.54,
289.29,
294.56,
291.7,
290.92,
289.66,
282.75,
281.33,
284.56,
286.18,
284.48,
288.35,
293.29,
299.39,
299.42,
302.47,
302.99,
305.32,
309.06,
315.06,
314.42,
316.01,
312.02,
318.39,
319.93,
318.55,
319.57,
321.08,
318.38,
323.66,
329.83,
332.38,
333.87,
336.19,
336.67,
331.42,
333.68,
335.84,
337.38,
329.95,
332.7,
338.41,
340.43,
340.36,
337.09,
339.91,
342.71,
349.18,
349.54,
345.85,
340.78,
345.62,
353.86,
352.85,
353.74,
358.56,
360.97,
365.43,
365.49,
374.2,
370.87,
376.2,
375.95,
378.48,
375.51,
376.48,
380.08,
382.88,
377.45,
371.64,
369.51,
375.52,
372.42,
365.72,
368.6,
370.5,
338.34,
336.34,
335.18,
336.34,
337.97,
337.09,
335.94,
337.84,
339.7,
344.03,
338.12,
339.11,
333.58,
325.94,
325.48,
330.77,
329.44,
325.58,
322.27,
318.32,
328.09,
332.62,
330.53,
333.38,
329.84,
329.33,
332.28,
341.34,
343.19,
347.4,
343.19,
341.51,
342.6,
341.55,
342.24,
344.2,
347.09,
350.12,
349.56,
352.36,
357.88,
358.7,
358.84,
355.62,
354.09,
351.56,
349.65,
350.36,
348.35,
358.63,
360.72,
364.2,
365.66,
362.58,
364.66,
367.12,
368.52,
361.54,
356.41,
357.19,
355.87,
351.02,
348.11,
368.26,
370.62,
375.5,
374.32,
373.64,
376.83,
375.5,
379.4,
379.51,
380.11,
379.63,
383.13,
390.17,
387.26,
390.07,
390.37,
389.27,
393.93,
398.04,
396.29,
396.01,
397.3,
395.64,
392.59,
395.95,
400.92,
398.47,
402.9,
414.86,
414.82,
415.2,
412.94,
416.17,
412.25,
411.57,
409.1,
407.08,
401.14,
403.63,
406.13,
405.33,
405.22,
403.81,
404.3,
401.07,
397.05,
397.02,
402.4,
400.73,
396.05,
388.59,
384.58,
386.94,
388.39,
392.42,
391.86,
388.9,
392.35,
389.44,
381.01,
383.51,
387.89,
400.58,
404.4,
404.22,
398.69,
401.9,
409.25,
408.59,
409.93,
418.42,
424.55,
425.76,
426.88,
434.55,
436.52,
437.13,
439.01,
447.46,
451.46,
450.71,
452.95,
449.25,
443.88,
437.44,
435.94,
440.64,
432.58,
433.64,
434.19,
427.94,
427.46,
428.99,
424.03,
433.09,
440.49,
440.2,
435.26,
433.18,
437.5,
439.58,
444.62,
449.2,
442.1,
436.97,
432.06,
432.69,
435.72,
438.76,
437.53,
442.94,
439.07,
439.69,
444.11,
448.99,
449.44,
450.64,
454.71,
458.08,
458.64,
457.41,
458.61,
452.05,
438.24,
448.95,
450.23,
450.8,
443.48,
441.44,
440.89,
440.88,
443.53,
447.95,
450.86,
450.05,
448.31,
444.99,
443.09,
445.44,
441.27,
438.54,
434.01,
429.43,
428.7,
429.15,
432.2,
433.68,
435.56,
435.31,
433.46,
424.37,
424.31,
424.72,
423.2,
427.4,
428.01,
436.24,
437.31,
441.65,
442.44,
443.48,
445.45,
442.86,
442.88,
440.94,
441.98,
448.15,
448.26,
443.04,
441.14,
438.24,
437.94,
436.09,
434.59,
440.46,
439.35,
436.49,
435.44,
432.49,
426.24,
421.91,
430.54,
433.08,
433.13,
437.44,
442.45,
443.31,
487.49,
500.27,
498.39,
500.82,
512.91,
505.88,
507.0,
507.26,
513.51,
512.5,
513.06,
511.53,
509.22,
508.19,
504.32,
504.75,
504.5,
503.0,
503.75,
515.69,
515.67,
515.14,
512.04,
510.69,
513.51,
515.13,
518.03,
521.99,
530.53,
530.25,
525.91,
525.03,
525.52,
526.07,
530.57,
534.54,
538.36,
538.12,
535.03,
529.47,
531.54,
534.72,
530.05,
540.08,
544.54,
553.11,
554.6,
554.9,
557.03,
555.06,
553.68,
554.68,
553.02,
553.77,
561.14,
567.21,
563.34,
561.69,
559.14,
564.61,
572.47,
574.57,
572.67,
576.23,
580.01,
577.76,
562.06,
541.68,
555.52,
550.26,
564.19,
576.14,
566.57,
569.07,
564.57,
574.35,
580.86,
585.09,
586.69,
591.28,
590.42,
597.0,
600.6,
599.35,
600.71,
602.02,
603.15,
605.82,
607.49,
609.11,
603.71,
596.67,
605.35,
606.31,
609.91,
606.32,
602.65,
598.92,
592.69,
592.97,
586.85,
589.64,
597.13,
597.8,
598.28,
591.82,
573.55,
574.07,
566.32,
551.6,
559.44,
556.98,
559.56,
562.56,
566.01,
544.49,
530.53,
544.7,
555.38,
545.5,
533.4,
540.52,
530.64,
553.1,
539.4,
534.0,
536.0,
528.13,
531.0,
522.5,
511.0,
523.0,
529.09,
532.86,
533.27,
527.58,
522.26,
511.09,
514.46,
514.28,
527.51,
537.9,
533.11,
525.31,
523.57,
525.66,
536.57,
542.11,
551.0,
554.17,
564.15,
569.95,
568.45,
565.79,
556.7,
552.53,
548.56,
555.05,
559.58,
565.22,
566.13,
563.68,
557.15,
553.72,
550.0,
547.47,
551.58,
556.67,
559.37,
563.5,
569.16,
573.26,
579.6,
582.62,
583.29,
586.29,
589.11,
589.0,
587.94,
574.0,
577.0,
572.1,
580.58,
586.69,
585.31,
590.25,
576.85,
590.92,
594.45,
599.26,
601.35,
601.0,
595.75,
592.59,
592.17,
592.7,
577.68,
570.3,
572.26,
570.31,
567.45,
569.43,
569.02,
575.3,
569.91,
575.2,
580.92,
580.76,
586.55,
594.44,
593.0,
591.1,
589.8,
589.26,
587.45,
580.9,
577.88,
578.24,
582.4,
586.5,
590.6,
593.55,
598.02,
590.48,
587.14,
586.04,
583.28,
577.01,
580.95,
587.12,
593.02,
597.76,
593.12,
590.24,
590.3,
584.74,
585.0,
581.57,
584.5,
578.02,
574.05,
583.5,
585.4,
574.1,
567.64,
569.03,
555.01,
544.43,
544.5,
528.42,
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281.3,
280.64,
279.68,
296.2,
285.77,
280.52,
274.87,
269.77,
264.6,
254.79,
244.96,
255.83,
248.68,
254.96,
260.52,
261.96,
261.51,
269.44,
264.42,
267.74,
252.01,
256.68,
251.28,
253.23,
230.83,
230.3,
235.49,
236.17,
235.99,
225.7,
222.85,
224.07,
214.65,
214.63,
212.84,
220.23,
216.55,
221.71,
214.21,
214.7,
220.78,
213.87,
219.43,
228.96,
226.52,
223.22,
223.95,
218.04,
224.09,
235.18,
231.1,
228.73,
238.75,
236.76,
234.8,
232.71,
232.27,
228.81,
229.29,
222.42,
228.04,
267.87,
269.96,
269.05,
279.25,
275.92,
274.78,
273.21,
275.69,
281.39,
289.44,
299.54,
299.73,
295.8,
295.43,
293.39,
289.8,
287.66,
293.41,
293.54,
289.79,
291.01,
289.56,
287.6,
289.55,
276.25,
273.75,
272.75,
284.25,
287.68,
292.03,
291.54,
288.54,
282.95,
288.83,
290.16,
284.31,
275.05,
278.4,
274.65,
281.03,
283.53,
288.46,
282.54,
277.95,
278.77,
272.95,
272.84,
272.76,
272.32,
264.1,
266.51,
260.05,
268.52,
265.71,
271.42,
273.27,
275.66,
272.77,
268.52,
269.77,
258.4,
257.28,
267.35,
249.42,
240.68,
233.59,
241.05,
248.6,
243.49,
246.29,
239.89,
242.99,
237.52,
236.49,
234.29,
234.03,
239.42,
241.24,
240.32,
246.48,
251.25,
251.05,
249.1,
253.75,
255.17,
245.46,
247.61,
241.7,
246.0,
243.3,
241.97,
237.1,
236.48,
235.11,
238.62,
234.6,
230.23,
222.97,
226.24,
211.8,
212.45,
204.38,
215.32,
212.21,
213.19,
219.46,
211.53,
230.73,
227.29,
216.84,
215.39,
219.64,
214.21,
209.96,
198.2,
206.27,
205.1,
198.87,
187.18,
186.85,
165.25,
172.43,
156.74,
178.07,
196.96,
177.5,
166.55,
189.67,
190.06,
186.38,
178.67,
177.0,
163.4,
167.57,
169.69,
183.08,
184.41,
178.26,
178.97,
176.9,
181.26,
170.15,
166.73,
164.16,
154.5,
151.18,
146.03,
151.78,
151.65,
150.94,
147.84,
137.58,
131.39,
134.76,
134.47,
140.28,
145.44,
143.48,
135.0,
135.06,
138.4,
135.65,
145.14,
148.99,
154.77,
152.24,
148.0,
157.16,
157.42,
159.48,
158.51,
155.65,
154.43,
150.37,
150.89,
152.19,
150.26,
150.55,
152.25,
154.45,
160.66,
166.66,
164.32,
159.3,
163.91,
158.31,
156.04,
155.15,
148.93,
152.66,
149.72,
144.32,
149.17,
154.79,
162.59,
163.39,
169.16,
172.44,
172.52,
167.31,
171.46,
170.21,
170.63,
178.41,
185.83,
188.18,
179.65,
176.76,
181.28,
173.43,
173.79,
178.91,
169.19,
173.67,
165.68,
171.25,
173.15,
166.64,
166.83,
165.2,
161.74,
158.4,
153.76,
150.14,
149.27,
155.21,
158.93,
163.21,
163.16,
160.25,
167.57,
166.01,
165.32,
166.95,
173.42,
175.38,
176.74,
175.18,
171.44,
174.64,
172.06,
181.84,
182.43,
183.68,
181.48,
181.93,
184.93,
185.85,
188.66,
183.73,
190.94,
193.2,
193.27,
188.27,
191.07,
193.95,
193.22,
192.36,
192.07,
193.18,
198.08,
197.71,
199.28,
200.19,
203.6,
202.25,
201.63,
201.6,
205.21,
197.24,
194.59,
195.75,
197.56,
198.25,
201.25,
198.35,
198.53,
196.17,
203.02,
204.54,
206.26,
209.57,
213.34,
213.21,
217.87,
222.76,
219.97,
219.51,
218.33,
216.1,
213.64,
210.96,
209.86,
208.3,
208.05,
209.31,
208.68,
203.53,
204.57,
203.7,
207.05,
213.21,
212.21,
212.31,
207.91,
203.45,
204.32,
200.2,
203.26,
204.99,
208.3,
212.07,
215.04,
218.56,
216.72,
215.15,
215.69,
214.21,
214.55,
218.12,
223.24,
220.72,
218.83,
221.53,
225.21,
224.59,
224.91,
228.23,
227.38,
228.06,
227.8,
227.06,
227.93,
231.31,
231.62,
225.98,
222.77,
220.22,
226.23,
233.0,
233.91,
234.8,
236.62,
234.52,
234.86,
230.12,
230.07,
228.14,
228.14,
229.01,
232.38,
229.76,
233.56,
235.44,
235.49,
237.78,
240.14,
245.53,
248.63,
244.11,
250.71,
250.64,
250.49,
247.39,
247.67,
250.01,
250.25,
246.75,
242.11,
244.07,
246.1,
249.75,
260.04,
258.58,
261.97,
262.46,
266.5,
267.14,
273.94,
276.62,
276.1,
275.23,
275.27,
277.9,
278.15,
275.76,
274.21,
271.78,
275.27,
268.81,
265.27,
270.67,
272.02,
274.13,
278.0,
281.65,
285.53,
285.06,
284.93,
287.79,
287.72,
288.61,
287.17,
285.04,
288.53,
291.54,
293.5,
286.29,
290.61,
294.36,
295.79,
294.81,
296.81,
292.41,
292.04,
294.04,
295.52,
297.64,
297.92,
296.95,
299.75,
298.52,
298.31,
299.27,
300.97,
302.05,
306.77,
311.14,
312.68,
309.56,
312.69,
313.79,
313.9,
313.24,
305.0,
296.3,
302.53,
299.34,
288.53,
292.24,
296.09,
291.04,
293.28,
292.01,
282.53,
273.57,
269.25,
270.91,
272.52,
269.51,
267.57,
267.75,
264.6,
268.77,
264.46,
266.52,
270.04,
267.3,
266.39,
266.75,
268.84,
271.27,
269.04,
270.77,
273.95,
271.77,
267.46,
263.82,
263.97,
264.86,
268.01,
271.45,
273.52,
280.96,
282.67,
280.2,
282.16,
287.42,
294.36,
283.62,
281.2,
284.43,
282.64,
283.4,
278.33,
278.8,
273.03,
279.79,
282.92,
281.78,
281.7,
282.81,
285.74,
285.01,
283.93,
281.94,
284.28,
283.96,
286.55,
295.33,
296.38,
281.78,
274.65,
277.36,
278.51,
276.28,
273.9,
272.76,
264.73,
266.32,
266.95,
265.83,
263.51,
263.52,
250.74,
254.63,
250.23,
257.24,
258.09,
256.28,
258.51,
255.14,
253.64,
255.25,
248.38,
242.78,
234.76,
240.61,
234.31,
241.28,
242.67,
246.62,
240.46,
243.58,
247.8,
250.11,
249.78,
244.17,
243.85,
240.43,
241.49,
247.49,
241.78,
248.33,
251.98,
251.51,
250.2,
245.19,
243.69,
240.07,
238.77,
236.53,
231.95,
227.71,
222.87,
221.03,
222.22,
219.37,
227.0,
236.22,
236.42,
241.37,
245.18,
246.11,
234.8,
230.74,
230.75,
242.24,
241.86,
240.63,
244.79,
245.53,
247.72,
243.22,
240.06,
244.74,
245.5,
246.34,
253.2,
252.95,
251.38,
251.43,
249.11,
242.21,
244.74,
242.08,
244.51,
245.47,
240.75,
234.22,
230.98,
229.08,
225.22,
228.26,
226.51,
229.8,
225.28,
227.72,
231.65,
235.5,
232.48,
232.83,
239.15,
239.75,
240.69,
241.25,
240.21,
240.21,
242.12,
246.5,
255.09,
256.69,
257.56,
261.13,
264.69,
267.01,
264.19,
264.84,
265.26,
262.74,
264.45,
269.9,
268.37,
266.65,
269.51,
270.33,
273.77,
272.36,
299.93,
300.58,
304.73,
304.37,
306.06,
306.27,
308.1,
306.86,
308.19,
310.34,
308.84,
308.17,
309.64,
309.06,
312.63,
311.9,
312.32,
315.32,
311.35,
310.16,
307.3,
301.84,
296.68,
292.79,
294.79,
298.8,
294.03,
293.8,
293.95,
295.53,
294.88,
287.45,
281.78,
284.62,
285.01,
290.58,
295.93,
296.28,
297.24,
296.87,
298.86,
298.84,
297.4,
296.72,
295.8,
297.62,
299.58,
302.3,
302.97,
301.67,
301.33,
301.3,
299.3,
298.67,
298.54,
303.11,
300.34,
305.65,
308.26,
307.71,
309.16,
309.98,
308.79,
309.01,
313.34,
321.38,
316.42,
320.11,
304.09,
304.4,
310.48,
309.25,
309.84,
302.1,
302.55,
305.81,
305.04,
305.38,
305.38,
307.77,
308.74,
307.26,
307.2,
311.98,
313.97,
313.13,
310.94,
313.31,
310.33,
305.47,
306.0,
306.24,
305.3,
309.2,
300.2,
303.49,
304.47,
300.58,
296.76,
295.8,
293.01,
289.4,
286.69,
279.03,
284.29,
282.52,
282.6,
285.4,
288.92,
287.88,
293.01,
293.73,
291.33,
288.29,
292.48,
291.79,
294.67,
296.8,
290.83,
286.38,
288.15,
292.74,
288.39,
287.79,
288.04,
287.88,
272.92,
263.47,
265.24,
263.21,
264.01,
262.89,
263.52,
269.27,
269.3,
270.27,
273.12,
268.83,
267.85,
267.2,
269.34,
267.77,
270.27,
270.34,
267.89,
267.57,
263.42,
257.97,
265.03,
266.63,
266.17,
258.56,
260.44,
258.92,
259.11,
259.5,
262.76,
264.28,
264.05,
261.26,
263.18,
261.71,
258.52,
260.26,
257.3,
255.25,
254.33,
252.77,
251.66,
253.34,
242.74,
243.84,
245.97,
241.31,
240.58,
237.2,
242.25,
248.52,
251.25,
253.62,
262.91,
267.02,
270.77,
266.74,
264.35,
264.34,
268.77,
269.83,
299.05,
296.54,
298.37,
301.39,
297.31,
303.0,
306.99,
309.33,
308.9,
302.9,
302.42,
305.92,
303.3,
297.34,
297.55,
291.56,
281.77,
280.78,
280.97,
277.19,
285.03,
276.99,
276.49,
270.29,
262.0,
249.92,
252.25,
252.0,
259.92,
265.46,
260.26,
267.55,
269.36,
272.64,
270.64,
262.5,
255.66,
265.49,
267.17,
265.97,
259.24,
266.27,
266.56,
268.02,
272.67,
270.45,
274.98,
274.12,
263.39,
258.54,
263.89,
269.37,
271.02,
268.29,
260.37,
255.18,
245.26,
248.42,
254.0,
258.67,
262.85,
267.0,
274.34,
275.29,
300.03,
292.15,
290.39,
293.96,
291.24,
295.05,
293.65,
296.85,
295.07,
299.51,
297.56,
297.84,
290.34,
292.74,
293.79,
297.05,
296.96,
304.8,
302.43,
303.27,
300.95,
304.3,
306.71,
306.35,
305.33,
301.3,
294.17,
290.29,
287.96,
282.88,
289.97,
294.23,
299.27,
300.3,
308.83,
314.13,
311.81,
311.15,
310.83,
309.31,
311.25,
314.69,
311.24,
311.57,
312.47,
314.32,
314.31,
315.32,
314.29,
316.32,
316.34,
321.7,
321.07,
321.33,
326.8,
332.85,
331.4,
329.9,
323.57,
315.19,
312.06,
315.93,
313.44,
316.31,
313.63,
320.82,
295.56,
293.29,
293.45,
289.04,
286.28,
285.68,
289.31,
291.79,
292.76,
292.73,
295.63,
297.8,
303.88,
304.62,
306.32,
304.24,
305.56,
306.08,
306.77,
301.71,
302.79,
302.24,
306.29,
303.8,
303.98,
303.6,
305.3,
309.61,
311.44,
311.31,
310.53,
304.33,
304.83,
305.33,
304.28,
300.3,
304.68,
307.81,
308.61,
310.76,
311.87,
315.78,
317.62,
319.57,
323.62,
322.82,
323.84,
326.34,
327.05,
326.2,
320.71,
323.03,
319.54,
316.44,
314.55,
317.08,
317.3,
321.5,
324.1,
311.81,
304.58,
304.33,
303.15,
302.43,
296.75,
299.42,
302.3,
305.76,
307.82,
306.8,
302.2,
300.9,
305.11,
303.26,
297.8,
303.07,
303.71,
306.79,
305.48,
300.69,
302.98,
309.29,
317.23,
312.86,
300.56,
307.03,
301.13,
304.88,
300.8,
298.2,
294.37,
294.65,
286.18,
285.4,
288.01,
288.53,
294.09,
288.21,
292.4,
285.17,
281.14,
280.93,
280.45,
281.59,
287.08,
290.19,
290.21,
284.28,
283.95,
281.66,
284.13,
283.23,
287.77,
291.2,
290.3,
294.67,
296.52,
292.77,
295.39,
288.44,
283.84,
286.36,
288.47,
289.5,
288.78,
293.36,
304.68,
300.54,
307.81,
304.46,
307.81,
309.75,
318.34,
314.44,
318.97,
313.07,
320.32,
320.12,
321.22,
319.84,
322.58,
319.61,
324.03,
329.95,
335.48,
334.09,
337.4,
338.09,
336.89,
334.02,
337.47,
338.14,
331.83,
332.83,
339.02,
342.46,
342.34,
342.62,
340.34,
343.32,
350.35,
355.23,
349.33,
345.05,
346.89,
355.15,
354.41,
354.24,
359.11,
362.6,
366.47,
365.87,
376.9,
375.3,
380.35,
377.45,
379.9,
382.98,
378.24,
381.76,
385.74,
380.88,
380.22,
371.3,
376.83,
376.3,
371.34,
370.44,
372.35,
378.15,
353.14,
340.85,
336.34,
343.74,
340.34,
338.59,
340.27,
340.09,
347.74,
342.59,
343.08,
337.84,
335.44,
327.65,
332.21,
331.83,
330.66,
325.32,
323.32,
328.18,
335.09,
334.83,
335.32,
333.55,
330.42,
334.34,
344.23,
346.0,
351.47,
347.85,
346.42,
344.14,
347.85,
343.04,
345.34,
349.96,
358.32,
349.93,
353.1,
358.66,
360.72,
361.99,
357.34,
357.61,
354.39,
353.92,
351.2,
350.35,
360.07,
362.83,
365.03,
368.09,
368.14,
366.5,
371.79,
371.37,
368.87,
360.02,
361.56,
359.21,
355.54,
352.68,
368.36,
370.99,
375.76,
376.26,
373.75,
377.25,
375.63,
379.5,
384.23,
380.95,
379.91,
385.23,
390.46,
389.59,
391.27,
390.46,
390.25,
394.09,
398.39,
403.05,
399.4,
400.03,
401.55,
397.9,
397.8,
400.95,
399.3,
403.05,
414.88,
420.93,
417.45,
417.67,
416.26,
415.77,
414.36,
413.91,
409.66,
402.9,
406.03,
408.82,
406.05,
407.78,
406.61,
407.16,
403.74,
402.4,
397.9,
402.67,
407.14,
402.53,
393.42,
389.76,
388.14,
391.85,
396.84,
396.39,
393.37,
393.69,
393.77,
393.07,
384.96,
400.7,
400.9,
404.46,
408.53,
404.2,
402.03,
409.91,
412.04,
410.46,
418.9,
424.55,
431.94,
428.93,
435.86,
438.09,
439.88,
439.19,
448.2,
459.96,
455.46,
452.95,
454.46,
451.73,
438.94,
438.07,
442.19,
438.29,
435.39,
434.49,
432.2,
434.36,
431.69,
432.58,
435.65,
441.49,
442.43,
443.17,
434.92,
440.49,
440.05,
444.77,
451.14,
447.44,
444.61,
436.38,
439.07,
437.31,
439.84,
437.89,
443.67,
445.55,
440.39,
445.45,
450.06,
455.96,
452.18,
456.96,
460.46,
462.61,
464.03,
460.96,
459.95,
443.75,
451.45,
455.81,
454.08,
447.38,
443.94,
442.89,
443.17,
446.94,
447.95,
452.17,
453.15,
452.8,
447.97,
448.19,
445.73,
443.89,
443.86,
439.62,
432.65,
431.07,
429.28,
434.61,
435.76,
436.79,
439.35,
435.43,
430.24,
425.55,
424.96,
428.31,
427.61,
430.6,
437.19,
441.66,
442.31,
445.46,
444.71,
449.15,
447.7,
448.55,
444.15,
443.62,
453.45,
449.64,
448.52,
443.69,
443.72,
439.59,
437.85,
434.97,
440.56,
441.81,
444.44,
437.94,
434.16,
433.09,
428.57,
432.35,
433.45,
433.76,
438.32,
443.38,
446.94,
488.78,
506.24,
503.0,
501.0,
516.45,
514.92,
508.11,
510.06,
519.23,
514.98,
516.41,
516.27,
510.69,
513.31,
511.82,
504.88,
505.26,
504.35,
503.88,
517.48,
517.95,
518.39,
516.38,
515.49,
514.01,
517.23,
519.1,
524.82,
531.55,
531.61,
532.29,
526.0,
526.21,
529.13,
535.43,
535.58,
538.36,
544.24,
540.32,
538.14,
532.04,
537.59,
536.53,
541.27,
545.19,
554.47,
558.04,
557.56,
560.56,
560.73,
556.68,
558.29,
558.06,
557.06,
563.06,
573.57,
572.29,
570.11,
563.8,
569.54,
577.07,
575.12,
579.0,
581.05,
583.89,
580.58,
576.08,
563.61,
555.72,
560.12,
573.07,
586.26,
590.19,
569.56,
572.26,
576.14,
584.4,
586.49,
590.68,
595.09,
590.97,
598.4,
601.31,
603.25,
602.17,
604.51,
603.28,
608.58,
612.61,
609.8,
610.78,
603.98,
608.11,
608.13,
611.75,
614.01,
608.45,
607.49,
598.8,
604.58,
591.59,
590.21,
597.93,
606.51,
600.58,
603.76,
592.69,
583.58,
581.59,
565.99,
560.06,
565.77,
560.7,
571.52,
573.39,
578.55,
544.79,
545.05,
565.84,
568.0,
537.94,
543.66,
551.0,
557.7,
556.32,
544.0,
536.0,
543.67,
541.69,
532.26,
525.8,
523.89,
535.12,
534.25,
541.44,
530.24,
533.41,
523.25,
515.72,
518.65,
531.84,
539.58,
541.82,
533.14,
529.6,
528.88,
540.0,
542.9,
552.2,
558.13,
567.78,
574.57,
573.39,
571.64,
569.75,
560.9,
551.52,
557.11,
568.16,
566.75,
568.78,
565.92,
567.0,
560.08,
557.25,
552.36,
552.8,
561.15,
566.45,
564.35,
574.22,
573.55,
589.3,
585.45,
586.76,
587.65,
592.26,
591.7,
593.51,
586.36,
578.95,
573.0,
581.0,
590.6,
595.15,
596.89,
588.97,
603.01,
601.35,
599.7,
602.05,
605.53,
599.25,
597.75,
597.7,
595.81,
588.96,
578.56,
576.51,
579.38,
569.5,
576.05,
572.02,
579.0,
575.0,
576.45,
586.69,
587.5,
587.1,
595.59,
596.95,
594.9,
593.27,
594.77,
592.0,
587.81,
580.02,
582.35,
582.95,
591.73,
592.13,
595.13,
599.14,
600.27,
591.74,
590.0,
590.39,
582.24,
580.95,
589.51,
595.05,
599.49,
602.5,
595.0,
591.57,
596.99,
585.93,
581.83,
587.49,
586.8,
578.0,
584.1,
589.95,
584.9,
574.79,
581.61,
567.47,
555.13,
550.14,
542.08,
527.0,
540.45,
520.45,
537.27,
541.05,
548.28,
554.98,
547.76,
551.71,
560.85,
558.25,
568.3,
563.53,
561.16,
566.79,
555.5,
555.6,
552.4,
558.52,
561.15,
560.81,
558.0,
555.19,
547.93,
544.75,
542.09,
551.04,
546.57,
547.21,
549.23,
547.0,
545.09,
539.45,
537.5,
537.64,
536.7,
529.22,
525.88,
535.9,
530.01,
527.44,
523.76,
513.6,
499.86,
515.99,
516.99,
520.61,
534.51,
538.82,
536.93,
540.5,
534.96,
537.74,
532.6,
527.15,
520.5,
510.95,
501.51,
508.18,
499.24,
502.57,
500.42,
508.89,
503.15,
512.77,
510.84,
523.0,
538.03,
541.5,
531.4,
525.0,
512.9,
519.0,
534.32,
529.94,
533.14,
527.93,
531.01,
531.06,
532.15,
539.73,
539.66,
547.51,
551.16,
543.82,
542.47,
547.58,
539.0,
531.55,
538.44,
545.74,
558.15,
567.0,
576.35,
576.97,
579.62,
582.0,
570.92,
568.48,
559.8,
558.48,
559.23,
556.93,
558.29,
557.73,
564.52,
566.71,
566.0,
568.54,
577.57,
564.65,
561.83,
560.25,
557.94,
554.83,
547.41,
538.84,
544.99,
546.0,
549.21,
549.57,
547.05,
546.57,
537.96,
538.35,
537.31,
533.75,
546.31,
543.06,
550.41,
580.05,
572.77,
564.32,
560.51,
558.56,
550.51,
550.99,
550.16,
542.64,
535.9,
548.87,
548.49,
542.81,
540.47,
543.97,
550.39,
543.82,
548.0,
550.92,
550.2,
554.46,
552.58,
548.68,
553.79,
553.2,
548.73,
547.43,
555.1,
552.18,
552.0,
549.61,
543.42,
545.7,
554.49,
547.15,
542.73,
544.48,
545.42,
548.0,
556.52,
559.41,
559.79,
562.48,
560.3,
559.71,
546.75,
545.09,
543.66,
544.74,
542.25,
547.43,
545.6,
548.65,
553.71,
559.51,
574.5,
583.74,
589.5,
680.0,
688.98,
684.88,
694.02,
691.85,
676.77,
651.57,
661.76,
662.26,
657.44,
664.7,
657.66,
664.34,
665.75,
673.99,
667.78,
667.09,
699.58,
694.49,
689.2,
684.04,
688.04,
691.07,
690.11,
689.1,
671.04,
600.6,
646.47,
643.1,
671.99,
665.76,
654.34,
633.81,
638.0,
647.93,
629.7,
641.0,
651.88,
643.9,
650.21,
655.63,
656.71,
665.55,
667.49,
665.06,
665.51,
657.47,
652.9,
648.97,
658.58,
639.05,
625.5,
631.83,
637.94,
638.01,
661.6,
669.35,
677.4,
669.45,
667.49,
669.19,
674.26,
683.73,
685.25,
695.4,
694.0,
697.89,
683.21,
675.44,
750.06,
720.02,
726.57,
733.0,
736.63,
745.56,
734.53,
745.43,
749.9,
758.81,
759.39,
758.52,
753.48,
762.38,
760.18,
754.04,
740.21,
752.47,
749.57,
759.78,
769.3,
777.47,
772.96,
771.69,
769.16,
771.87,
766.94,
785.25,
780.56,
769.71,
780.06,
764.5,
771.1,
763.59,
749.0,
751.26,
767.79,
766.57,
781.16,
767.23,
763.05,
764.27,
770.69,
768.52,
770.0,
786.99,
793.96,
787.82,
762.2,
764.1,
750.37,
746.49,
747.8,
731.95,
740.75,
749.34,
724.44,
709.99,
720.15,
705.9,
720.17,
742.0,
743.84,
735.21,
735.89,
738.19,
748.96,
771.26,
800.5,
786.28,
744.59,
725.5,
687.68,
692.95,
711.79,
696.34,
712.21,
718.65,
727.0,
733.96,
715.9,
729.51,
726.1,
710.61,
722.93,
733.6,
721.0,
721.3,
742.87,
739.48,
734.8,
725.15,
708.39,
715.16,
727.79,
739.95,
744.97,
746.02,
749.05,
757.65,
761.63,
753.91,
758.44,
763.35,
751.2,
756.17,
753.68,
768.21,
768.34,
757.16,
769.51,
758.13,
757.84,
765.32,
765.87,
765.45,
758.43,
770.31,
775.36,
775.5,
780.19,
790.5,
779.16,
777.31,
743.91,
735.35,
744.42,
725.32,
723.29,
704.12,
711.92,
712.5,
706.77,
715.0,
712.2,
726.7,
734.96,
740.52,
732.0,
726.62,
724.32,
731.06,
718.5,
718.3,
716.46,
719.98,
719.85,
735.0,
736.0,
737.51,
748.76,
748.47,
746.1,
741.49,
738.5,
733.27,
739.5,
737.07,
735.95,
729.82,
729.31,
734.92,
727.96,
721.39,
710.31,
710.05,
714.05,
710.55,
690.17,
682.49,
691.37,
694.26,
697.65,
705.1,
705.01,
699.84,
710.11,
710.56,
719.42,
73
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