{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Series de tiempo con Python" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "*Esta notebook fue creada originalmente como un blog post por [Raúl E. López Briega](http://relopezbriega.com.ar/) en [Matemáticas, análisis de datos y python](http://relopezbriega.github.io). El contenido esta bajo la licencia BSD.*" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\"Series" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Introducción\n", "\n", "Los datos obtenidos a partir de observaciones recogidas a lo largo del tiempo son extremadamente comunes. En los negocios, observamos las tasas de interés de la semana, los precios de cierre de las acciones diarios, los índices de precios mensuales, las cifras de ventas anuales, y así sucesivamente. En meteorología, observamos las temperaturas máximas y mínimas diarias, los índices anuales de precipitación y de sequía, y las velocidades del viento por hora. En la agricultura, registramos las cifras anuales de producción agrícola y ganadera, la erosión del suelo, y las ventas de exportación. En las ciencias biológicas, observamos la actividad eléctrica del corazón en intervalos de milisegundos. La lista de las áreas en las que se estudian las [series de tiempo](https://es.wikipedia.org/wiki/Serie_temporal) es prácticamente interminable.\n", "\n", "## ¿Qué es una serie de tiempo?\n", "\n", "Una [serie de tiempo](https://es.wikipedia.org/wiki/Serie_temporal) o [serie temporal](https://es.wikipedia.org/wiki/Serie_temporal) es una secuencia de datos, observaciones o valores, medidos en determinados momentos y ordenados cronológicamente. Los datos pueden estar espaciados a intervalos iguales o desiguales. Una vez que se captura una [serie de tiempo](https://es.wikipedia.org/wiki/Serie_temporal), a menudo se realiza un análisis sobre ella para identificar patrones en los datos, en esencia, lo que se busca es entender que suceda a medida que el tiempo va avanzando. Ser capaz de procesar datos de [series de tiempo](https://es.wikipedia.org/wiki/Serie_temporal) es una habilidad esencial en el mundo moderno. Uno de los usos más habituales de las [series de tiempo](https://es.wikipedia.org/wiki/Serie_temporal) es su análisis para predicción y pronóstico (así se hace por ejemplo con los datos climáticos, las acciones de bolsa, o las series de datos demográficos). Resulta difícil imaginar una rama de las ciencias en la que no aparezcan datos que puedan ser considerados como [series de tiempo](https://es.wikipedia.org/wiki/Serie_temporal). \n", "\n", "### ¿Qué las hace especiales?\n", "\n", "Las características que hacen a las [series de tiempo](https://es.wikipedia.org/wiki/Serie_temporal) especiales y las diferencia de, por ejemplo, un problema de [regresión](https://es.wikipedia.org/wiki/An%C3%A1lisis_de_la_regresi%C3%B3n) son las siguientes:\n", "\n", "1. Son ***dependientes del tiempo***; por lo tanto el supuesto básico de los modelos de [regresión](https://es.wikipedia.org/wiki/An%C3%A1lisis_de_la_regresi%C3%B3n) de que las observaciones son *independientes* no se sostiene en este caso.\n", "\n", "2. Suelen tener una ***tendencia***; la mayoría de las [series de tiempo](https://es.wikipedia.org/wiki/Serie_temporal) suelen tener algún tipo de tendencia de estacionalidad, es decir, las variaciones propias de un período de tiempo determinado.\n", "\n", "3. Suelen estar ***autocorrelacionadas***; la mayoría de los procesos físicos presentan una inercia y no cambian tan rápidamente. Esto, combinado con la frecuencia del muestreo, a menudo hace que las observaciones consecutivas estén [correlacionadas](https://es.wikipedia.org/wiki/Correlaci%C3%B3n). Esta [correlación](https://es.wikipedia.org/wiki/Correlaci%C3%B3n) entre observaciones consecutivas se llama *[autocorrelación](https://es.wikipedia.org/wiki/Autocorrelaci%C3%B3n)*. Cuando los datos están *[autocorrelacionados](https://es.wikipedia.org/wiki/Autocorrelaci%C3%B3n)*, la mayoría de los métodos estadísticos estándares basados en la suposición de observaciones independientes pueden arrojar resultados engañosos o incluso ser inútiles.\n", "\n", "## Series de tiempo estacionarias\n", "\n", "Un tipo muy importante de [series de tiempo](https://es.wikipedia.org/wiki/Serie_temporal) son las [series de tiempo estacionarias](https://es.wikipedia.org/wiki/Proceso_estacionario). Una [series de tiempo](https://es.wikipedia.org/wiki/Serie_temporal) se dice que es estrictamente [estacionaria](https://es.wikipedia.org/wiki/Proceso_estacionario) si sus propiedades no son afectadas por los cambios a lo largo del tiempo. Es decir, que se deberían cumplir tres criterios básicos para poder considerar a una [series de tiempo](https://es.wikipedia.org/wiki/Serie_temporal) como [estacionaria](https://es.wikipedia.org/wiki/Proceso_estacionario):\n", "\n", "1. **La [media](https://es.wikipedia.org/wiki/Media_aritm%C3%A9tica) de la [serie](https://es.wikipedia.org/wiki/Serie_temporal) no debe ser una función de tiempo**; sino que debe ser constante. La siguiente imagen muestra una [serie](https://es.wikipedia.org/wiki/Serie_temporal) que cumple con esta condición y otra que no la cumple.\n", "\"Series\n", "2. **La [varianza](https://es.wikipedia.org/wiki/Varianza) de la [serie](https://es.wikipedia.org/wiki/Serie_temporal) no debe ser una función del tiempo**. El siguiente gráfico representa una [serie](https://es.wikipedia.org/wiki/Serie_temporal) cuya [varianza](https://es.wikipedia.org/wiki/Varianza) no esta afectada por el tiempo (es [estacionaria](https://es.wikipedia.org/wiki/Proceso_estacionario)) y otra que no cumple con esa condición.\n", "\"Series\n", "3. **La [covarianza](https://es.wikipedia.org/wiki/Covarianza) de la [serie](https://es.wikipedia.org/wiki/Serie_temporal) no debe ser una función del tiempo**. En el gráfico de la derecha, se puede observar que la propagación de la [serie](https://es.wikipedia.org/wiki/Serie_temporal) se va encogiendo a medida que aumenta el tiempo. Por lo tanto, la [covarianza](https://es.wikipedia.org/wiki/Covarianza) no es constante en el tiempo para la *serie roja*.\n", "\"Series\n", "\n", "### ¿Por qué son importantes las series de tiempo estacionarias?\n", "\n", "La razón por la que estas [series](https://es.wikipedia.org/wiki/Proceso_estacionario) son importantes es que la mayoría de los modelos de [series de tiempo](https://es.wikipedia.org/wiki/Serie_temporal) funcionan bajo el supuesto de que la serie es [estacionaria](https://es.wikipedia.org/wiki/Proceso_estacionario). Intuitivamente, podemos suponer que si una [serie](https://es.wikipedia.org/wiki/Serie_temporal) tiene un comportamiento particular en el tiempo, hay una [probabilidad](http://relopezbriega.github.io/blog/2015/06/27/probabilidad-y-estadistica-con-python/) muy alta de que se comportamiento continúe en el futuro. Además, las teorías relacionadas con las [series estacionarias](https://es.wikipedia.org/wiki/Proceso_estacionario) son más maduras y más fáciles de implementar en comparación con series no estacionarias. A pesar de que el supuesto de que la [serie](https://es.wikipedia.org/wiki/Serie_temporal) es [estacionaria](https://es.wikipedia.org/wiki/Proceso_estacionario) se utiliza en muchos modelos, casi ninguna de las [series de tiempo](https://es.wikipedia.org/wiki/Serie_temporal) que encontramos en la práctica son [estacionarias](https://es.wikipedia.org/wiki/Proceso_estacionario). Por tal motivo la [estadística](http://relopezbriega.github.io/blog/2015/06/27/probabilidad-y-estadistica-con-python/) tuvo que desarrollar varias técnicas para hacer [estacionaria](https://es.wikipedia.org/wiki/Proceso_estacionario), o lo más cercano posible a [estacionaria](https://es.wikipedia.org/wiki/Proceso_estacionario), a una [serie](https://es.wikipedia.org/wiki/Serie_temporal).\n", "\n", "## Series de tiempo con Python\n", "\n", "Las principales librerías que nos ofrece [Python](http://python.org/) para trabajar con [series de tiempo](https://es.wikipedia.org/wiki/Serie_temporal) son:\n", "\n", "* **[Statsmodels](http://statsmodels.sourceforge.net/stable/tsa.html)**: Esta librería contiene muchos objetos y funciones de suma utilidad para el análisis de [series de tiempo](https://es.wikipedia.org/wiki/Serie_temporal). Algunos de los modelos que están cubiertos por [Statsmodels](http://statsmodels.sourceforge.net/stable/tsa.html) incluyen: el [modelo autorregresivo](https://es.wikipedia.org/wiki/Modelo_autorregresivo) (AR); el [modelo autorregresivo de vectores](https://en.wikipedia.org/wiki/Vector_autoregression) (VAR); y el [modelo autorregresivo de media móvil](https://es.wikipedia.org/wiki/Modelo_autorregresivo_de_media_m%C3%B3vil) (ARMA). También incluye funciones de [estadística descriptiva](http://relopezbriega.github.io/blog/2015/06/27/probabilidad-y-estadistica-con-python/) de [series de tiempo](https://es.wikipedia.org/wiki/Serie_temporal), como por ejemplo la *[autocorrelación](https://es.wikipedia.org/wiki/Autocorrelaci%C3%B3n)*, así como las correspondientes propiedades teóricas de [ARMA](https://es.wikipedia.org/wiki/Modelo_autorregresivo_de_media_m%C3%B3vil) o procesos relacionados. Por último, también ofrece las pruebas estadísticas relacionadas y algunas funciones auxiliares muy útiles.\n", "\n", "\n", "* **[Pandas](http://pandas.pydata.org/)**: [Pandas](http://pandas.pydata.org/) proporciona un amplio soporte para trabajar con datos de [series de tiempo](https://es.wikipedia.org/wiki/Serie_temporal). Generalmente cuando trabajamos con [series de tiempo](https://es.wikipedia.org/wiki/Serie_temporal) realizamos un amplio abanico de tareas, como: convertir fechas, estandarizar el tiempo de acuerdo a la zona horaria, crear secuencias a determinados intervalos o frecuencias, identificar datos faltantes, desplazar las fechas hacia atrás o hacia adelante por un determinado valor, calcular resúmenes agregados de valores a medida que el tiempo cambia, etc. [Pandas](http://pandas.pydata.org/) nos brinda las herramientas para poder realizar estas y muchas otras tareas en forma muy sencilla.\n", "\n", "Veamos algunos ejemplos de como podemos manipular y analizar [series de tiempo](https://es.wikipedia.org/wiki/Serie_temporal) con la ayuda de [Python](http://python.org/). En este caso, vamos a jugar un poco con la información de los precios de las acciones de [Weatherford](https://www.weatherford.com/en/homepage) ([WFT](https://finance.yahoo.com/quote/wft?ltr=1)) de este año.\n", "\n", "### Manipulando la serie de tiempo con pandas" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# \n", "# importando modulos necesarios\n", "import numpy as np\n", "import pandas as pd\n", "import pandas.io.data as web\n", "import datetime as dt\n", "from pydataset import data\n", "import statsmodels.api as sm \n", "\n", "# librerías de visualizaciones\n", "import seaborn as sns\n", "import matplotlib.pyplot as plt \n", "\n", "\n", "# graficos incrustados\n", "%matplotlib inline\n", "\n", "# pandas solo 4 decimales\n", "pd.set_option('precision', 4)" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
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OpenHighLowCloseVolumeAdj Close
Date
2016-01-048.408.708.298.64107194008.64
2016-01-058.678.808.138.2691091008.26
2016-01-067.948.167.847.91132032007.91
2016-01-077.697.837.347.34126338007.34
2016-01-087.487.556.866.97185475006.97
\n", "
" ], "text/plain": [ " Open High Low Close Volume Adj Close\n", "Date \n", "2016-01-04 8.40 8.70 8.29 8.64 10719400 8.64\n", "2016-01-05 8.67 8.80 8.13 8.26 9109100 8.26\n", "2016-01-06 7.94 8.16 7.84 7.91 13203200 7.91\n", "2016-01-07 7.69 7.83 7.34 7.34 12633800 7.34\n", "2016-01-08 7.48 7.55 6.86 6.97 18547500 6.97" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Ejemplo serie de tiempo con Pandas\n", "# Creando una serie de tiempo de las acciones de WFT desde yahoo finance\n", "wft = web.DataReader(\"WFT\", 'yahoo', '2016-1-1', '2016-9-30')\n", "wft.head(5)" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
OpenHighLowCloseVolumeAdj Close
Date
2016-02-047.107.826.997.39344745007.39
2016-02-057.377.526.876.94277757006.94
2016-02-086.686.796.416.74176113006.74
2016-02-096.606.726.076.34137411006.34
2016-02-106.286.596.116.2486239006.24
2016-02-116.026.275.746.06171339006.06
2016-02-126.146.666.066.47134986006.47
2016-02-166.666.746.336.62114535006.62
2016-02-176.707.136.556.72290613006.72
2016-02-186.956.966.226.51135879006.51
\n", "
" ], "text/plain": [ " Open High Low Close Volume Adj Close\n", "Date \n", "2016-02-04 7.10 7.82 6.99 7.39 34474500 7.39\n", "2016-02-05 7.37 7.52 6.87 6.94 27775700 6.94\n", "2016-02-08 6.68 6.79 6.41 6.74 17611300 6.74\n", "2016-02-09 6.60 6.72 6.07 6.34 13741100 6.34\n", "2016-02-10 6.28 6.59 6.11 6.24 8623900 6.24\n", "2016-02-11 6.02 6.27 5.74 6.06 17133900 6.06\n", "2016-02-12 6.14 6.66 6.06 6.47 13498600 6.47\n", "2016-02-16 6.66 6.74 6.33 6.62 11453500 6.62\n", "2016-02-17 6.70 7.13 6.55 6.72 29061300 6.72\n", "2016-02-18 6.95 6.96 6.22 6.51 13587900 6.51" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# filtrando sólo del 2016-02-04 al 2016-02-18\n", "wft['2016-02-04':'2016-02-18']" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "Open 6.6600e+00\n", "High 6.7400e+00\n", "Low 6.3300e+00\n", "Close 6.6200e+00\n", "Volume 1.1454e+07\n", "Adj Close 6.6200e+00\n", "Name: 2016-02-16 00:00:00, dtype: float64" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# valores al 2016-02-16\n", "wft.loc['2016-2-16']" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "6.6200000000000001" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# valor de la columna Adj Close al 2016-2-16\n", "wft['Adj Close']['2016-2-16']" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
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OpenHighLowCloseVolumeAdj Close
Date
2016-02-016.516.675.906.33366659006.33
2016-02-026.126.165.825.97210911005.97
2016-02-036.046.405.606.27248704006.27
2016-02-047.107.826.997.39344745007.39
2016-02-057.377.526.876.94277757006.94
2016-02-086.686.796.416.74176113006.74
2016-02-096.606.726.076.34137411006.34
2016-02-106.286.596.116.2486239006.24
2016-02-116.026.275.746.06171339006.06
2016-02-126.146.666.066.47134986006.47
2016-02-166.666.746.336.62114535006.62
2016-02-176.707.136.556.72290613006.72
2016-02-186.956.966.226.51135879006.51
2016-02-196.476.515.976.20145415006.20
2016-02-226.206.926.206.75118783006.75
2016-02-236.616.686.076.1294865006.12
2016-02-245.936.145.776.0883338006.08
2016-02-256.076.135.685.9389720005.93
2016-02-266.136.556.076.43122881006.43
2016-02-296.436.626.336.40141203006.40
\n", "
" ], "text/plain": [ " Open High Low Close Volume Adj Close\n", "Date \n", "2016-02-01 6.51 6.67 5.90 6.33 36665900 6.33\n", "2016-02-02 6.12 6.16 5.82 5.97 21091100 5.97\n", "2016-02-03 6.04 6.40 5.60 6.27 24870400 6.27\n", "2016-02-04 7.10 7.82 6.99 7.39 34474500 7.39\n", "2016-02-05 7.37 7.52 6.87 6.94 27775700 6.94\n", "2016-02-08 6.68 6.79 6.41 6.74 17611300 6.74\n", "2016-02-09 6.60 6.72 6.07 6.34 13741100 6.34\n", "2016-02-10 6.28 6.59 6.11 6.24 8623900 6.24\n", "2016-02-11 6.02 6.27 5.74 6.06 17133900 6.06\n", "2016-02-12 6.14 6.66 6.06 6.47 13498600 6.47\n", "2016-02-16 6.66 6.74 6.33 6.62 11453500 6.62\n", "2016-02-17 6.70 7.13 6.55 6.72 29061300 6.72\n", "2016-02-18 6.95 6.96 6.22 6.51 13587900 6.51\n", "2016-02-19 6.47 6.51 5.97 6.20 14541500 6.20\n", "2016-02-22 6.20 6.92 6.20 6.75 11878300 6.75\n", "2016-02-23 6.61 6.68 6.07 6.12 9486500 6.12\n", "2016-02-24 5.93 6.14 5.77 6.08 8333800 6.08\n", "2016-02-25 6.07 6.13 5.68 5.93 8972000 5.93\n", "2016-02-26 6.13 6.55 6.07 6.43 12288100 6.43\n", "2016-02-29 6.43 6.62 6.33 6.40 14120300 6.40" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# filtrando todo febrero de 2016\n", "wft['2016-2']" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
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OpenHighLowCloseVolumeAdj Close
Date
2016-01-316.266.776.206.74176610006.74
2016-02-296.436.626.336.40141203006.40
2016-03-317.627.867.557.78132246007.78
2016-04-308.108.347.888.13211370008.13
2016-05-315.615.745.555.6184814005.61
2016-06-305.505.585.365.55148960005.55
2016-07-315.645.815.595.68191535005.68
2016-08-315.485.595.375.47112935005.47
\n", "
" ], "text/plain": [ " Open High Low Close Volume Adj Close\n", "Date \n", "2016-01-31 6.26 6.77 6.20 6.74 17661000 6.74\n", "2016-02-29 6.43 6.62 6.33 6.40 14120300 6.40\n", "2016-03-31 7.62 7.86 7.55 7.78 13224600 7.78\n", "2016-04-30 8.10 8.34 7.88 8.13 21137000 8.13\n", "2016-05-31 5.61 5.74 5.55 5.61 8481400 5.61\n", "2016-06-30 5.50 5.58 5.36 5.55 14896000 5.55\n", "2016-07-31 5.64 5.81 5.59 5.68 19153500 5.68\n", "2016-08-31 5.48 5.59 5.37 5.47 11293500 5.47" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Valores al cierre de cada mes.\n", "wft.asfreq('M', method='ffill')" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
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OpenHighLowCloseVolumeAdj Close
Date
2016-01-296.266.776.206.74176610006.74
2016-02-296.436.626.336.40141203006.40
2016-03-317.627.867.557.78132246007.78
2016-04-298.108.347.888.13211370008.13
2016-05-315.615.745.555.6184814005.61
2016-06-305.505.585.365.55148960005.55
2016-07-295.645.815.595.68191535005.68
2016-08-315.485.595.375.47112935005.47
\n", "
" ], "text/plain": [ " Open High Low Close Volume Adj Close\n", "Date \n", "2016-01-29 6.26 6.77 6.20 6.74 17661000 6.74\n", "2016-02-29 6.43 6.62 6.33 6.40 14120300 6.40\n", "2016-03-31 7.62 7.86 7.55 7.78 13224600 7.78\n", "2016-04-29 8.10 8.34 7.88 8.13 21137000 8.13\n", "2016-05-31 5.61 5.74 5.55 5.61 8481400 5.61\n", "2016-06-30 5.50 5.58 5.36 5.55 14896000 5.55\n", "2016-07-29 5.64 5.81 5.59 5.68 19153500 5.68\n", "2016-08-31 5.48 5.59 5.37 5.47 11293500 5.47" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Valores al cierre de cada mes (días laborales).\n", "wft.asfreq('BM')" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
OpenHighLowCloseVolumeAdj Close
Date
2016-03-317.627.867.557.78132246007.78
2016-06-305.505.585.365.55148960005.55
\n", "
" ], "text/plain": [ " Open High Low Close Volume Adj Close\n", "Date \n", "2016-03-31 7.62 7.86 7.55 7.78 13224600 7.78\n", "2016-06-30 5.50 5.58 5.36 5.55 14896000 5.55" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# valores al cierre de cada trimestre\n", "wft.asfreq('BQ')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Desplazando los valores de la serie\n", "\n", "Una operación común en los datos de [series de tiempo](https://es.wikipedia.org/wiki/Serie_temporal) es desplazar los valores hacia atrás y adelante en el tiempo, como por ejemplo para calcular el cambio porcentual de una muestra a otra. En [Pandas](http://pandas.pydata.org/) podemos utilizar el método `.shift()`." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "Date\n", "2016-01-04 NaN\n", "2016-01-05 8.64\n", "2016-01-06 8.26\n", "2016-01-07 7.91\n", "2016-01-08 7.34\n", "Name: Adj Close, dtype: float64" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# desplazando el 1 dia el valor de cierre\n", "desplazado = wft['Adj Close'].shift(1)\n", "desplazado[:5]" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "Date\n", "2016-01-04 NaN\n", "2016-01-05 -0.0440\n", "2016-01-06 -0.0424\n", "2016-01-07 -0.0721\n", "2016-01-08 -0.0504\n", "Name: var_diaria, dtype: float64" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# calculando el porcentaje de variación del día.\n", "variacion_diaria = wft['Adj Close'] / wft['Adj Close'].shift(1) - 1\n", "wft['var_diaria'] = variacion_diaria\n", "wft['var_diaria'][:5]" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "Date\n", "2016-01-04 NaN\n", "2016-01-05 -0.0440\n", "2016-01-06 -0.0424\n", "2016-01-07 -0.0721\n", "2016-01-08 -0.0504\n", "Name: Adj Close, dtype: float64" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# mismo resultado utilizando pct_change()\n", "wft['Adj Close'].pct_change()[:5]" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "Date\n", "2016-01-04 NaN\n", "2016-01-05 0.9560\n", "2016-01-06 0.9155\n", "2016-01-07 0.8495\n", "2016-01-08 0.8067\n", "Name: rend_diario, dtype: float64" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# calculando rendimiento acumulado diario\n", "rendimiento_diario = (1 + wft['Adj Close'].pct_change()).cumprod()\n", "wft['rend_diario'] = rendimiento_diario\n", "wft['rend_diario'][:5]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Visualizando las series de tiempo\n", "\n", "Una operación fundamental para entender el comportamiento de una [serie de tiempo](https://es.wikipedia.org/wiki/Serie_temporal) y poder determinar si se trata de una serie [estacionaria](https://es.wikipedia.org/wiki/Proceso_estacionario) o no; es realizar gráficos de la misma. En [Pandas](http://pandas.pydata.org/) esto lo podemos realizar en forma muy sencilla con el método `.plot()`." ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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NVTmvXA2ihqEvSvyblnqwpU8m527QJlAt54WDAUx2ucdoJBrEyf0JXLqxiVTN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XwcO6k8ijU28o5Z4vOP4YQiROQ04LgxZswY83Gs1sunReQ2bFJpzyyfLxR6sDtqt0R7BJhwJlID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\nf84K+5AeW9wAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# graficando Adj Close\n", "plot = wft['Adj Close'].plot(figsize=(10, 8))" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# Aplicando el filtro Hodrick-Prescott para separar en tendencia y \n", "# componente ciclico.\n", "wft_ciclo, wft_tend = sm.tsa.filters.hpfilter(wft['Adj Close'])\n", "wft['tend'] = wft_tend" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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qys8fDrCv9wBaz152dGm0DLZSYnFxzcorWFmx/Iix7GjooabMTvU47RJOrj0B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\nB8E15Lsfl5V6Ie5L8/kicpq6RWu/gCtK3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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# graficando la variacion del precio real con la tendencia.\n", "wft[['Adj Close', 'tend']].plot(figsize=(10, 8), fontsize=12);\n", "legend = plt.legend()\n", "legend.prop.set_size(14);" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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7A1BUJfRzVFfCP3iwjENLM85rs2rPa89d3QYAzM7mUak4r8uEvC4MdasFACgV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\nq+vOpCdqjUI2KazVO7Btb4yaGbKgJbiGIiNMXX725XUUcyp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7k3iQwXEQ8vFcsDNcQOfK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gAAAg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\nU7DAuVflnEuAyyWdW7YHSJpTO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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# graficando rendimiento diario\n", "plot = wft['var_diaria'].plot(figsize=(10, 8))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Promedios móviles y descomposición\n", "\n", "[Pandas](http://pandas.pydata.org/) también nos ofrece una serie de funciones para calcular estadísticas móviles, en ellas la función estadística se calcula sobre una ventana de datos representados por un determinado período de tiempo y luego se desplaza la ventana de datos por un intervalo especificado, calculando continuamente la estadística, siempre y cuando la ventana este dentro de las fechas de la [serie de tiempo](https://es.wikipedia.org/wiki/Serie_temporal). El ejemplo más utilizado es el de [media móvil](https://es.wikipedia.org/wiki/Media_m%C3%B3vil), que se usa comúnmente en el análisis de [series de tiempo](https://es.wikipedia.org/wiki/Serie_temporal) financieras para suavizar las fluctuaciones a corto plazo y poner de relieve las tendencias a largo plazo en los datos.\n", "\n", "Otra técnica interesante que podemos intentar también es la descomposición. Esta es una técnica que trata de descomponer una [serie de tiempo](https://es.wikipedia.org/wiki/Serie_temporal) en su tendencia, su estacionalidad y sus factores residuales. [Statsmodels](http://statsmodels.sourceforge.net/stable/tsa.html) viene con una función de descomposición que nos facilita en sobremanera el trabajo. Veamos unos ejemplos." ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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oa/9jIOCzd/T6VT8gx88IIdyvrAIqX77kNz2g2hBuQZPGdLEM0cRUcLRQQPXM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\n/x7gB0qp22ZqnFONHIfBiKAaB/YTdy7wA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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Calculando promedios móviles cada 5 días\n", "wft_ma = pd.rolling_mean(wft['Adj Close'], 5)\n", "wft['prod_mov'] = wft_ma\n", "plot = wft[['Adj Close', 'prod_mov']].plot(figsize=(10, 8), fontsize=12)" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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YmJYWTV5p86Dvv3LlFD590eSVkHlrTzn/fr+EaWlR/OfNi7GYjfS4vWzaW8HO\nY3XUtzi561PzCTcb+fBoLbmFDbg9PgzoNbtuuWzGgMbqv/++m6a2bv7322uxDmHcB8Lt8VJS3c7x\n8hasFiMbVmbS1NZNcU0bLe0u9uSfpOKkg9lZsXzjhnmEWc0DflcLK1v515ZCKk469Fxy6Ebla9fN\n5dGNBTS1O0mKDaesTm+7VNi5Yd1UUuIj8Hh9lJ/sIDsl6ozZiaZpVNbrGXa25FZhNhnJSYti4XQ7\nYVYTHx6pPSVVXKzNyvUXZBMZbmF/QT27/LFvSXHhzMmKZU5WHGJK7IDez4OhaRqHiho5UNTAkZIm\nOrp0j+HMZBs+n67zm5+cx8bd5fzv99ePm5G6BPhv9D2l/xVC7AZ+LKV8f4h2IcBuPkocOxdYJKWs\nFkIYga+j5/ZzA9XAK1LKpwfqbyz2pE7H69MoLG9hZlZswJTUUJwfOF0eHnzuIDsO1xAfHcp/3b6c\nwooW/vryURJiwvjtN9dijw3D4/WdMdNydPVw56+2YAD+/l+XEjnAst+J6ja+ff/Wvv0DgJyMGFLi\nI7CFW4iKsGKLsBBuNfPBoRpqmzr5zTcumNSZsqZp/P7pXLYfrOYTKzL5woZZ3PfoXvLLmjGbDFy2\nIpO7Pjm/7++x0+lmx+Fq3t5dTlFlK9YQExlJNqZnxDDHX2PM6/PR0eXmkVePsWJOMj+5Y8W46Xe5\nvfzuyf3syatjalo0P79zJbFRoRwtaeQvLxzGbDIyKyuO5vZu9uTVAXDx0gw+f+UsNu4s5d/+UBeg\nL9B+sUjk81fOIifj3B2WPjhYzfPvFlJW237K6/NzErh0+RQaW508sTH/lGPTM2L4/i1LSPPnmhwr\nvD6NoooWXv/gBNv9FRcuWz6Fb31mEXVNnSTHR4yPkYI+g9NbG6pISukdoglCiG8C9/hjpVLR3djn\n+mdSa/zP+xc9XDmY1+B4zKTGimD41R8MGvsTLHoH06lpGpv2VPDCthKMBgNen0ZURAg//NwiUuIH\nDgcAeGt3Of/eWsKFC1O57YqZZ33Pk29L3j9Yzd2fmofXqxERah40ZVSgXFOX28uvn8ql4qQDk1G/\nLitmJ/GFy8WAMxNN0/jgSC1v762godWJx3v228GXrprFmnkp46rf6/Px1OZCth2qISE6lOVzktm0\nS3cgMRoNfctb2SlRfO6y6afsv23eW8Gz7xWzZm4yX9wwC0e3e1ixY0PR3tnDvoJ6XG4vy2cmktDP\n666y3kGnWHdeAAAgAElEQVRxdRvdLg/2mDAuXZVF6xjt8Z8Nn6bx8vYTFFa2cven5vcFBdvttnGb\nSV2IXvSwHn2f3gbcLKXcP0S7VehZJXoXeL+P7mreW/TwR+jZKHqAcODLUsrcgfpTRmp0BIPG/gSL\n3uHoPFbaxF9fzSPEYuIHNy8iOW7o8iVuj5dfPp5LVYODb9wwlyXi1NCC0tp2fvVkLtGRIfzP11Zh\nMg7tOBFI17Sxzcn/PH2QUKuJdfNTuWRpet+y1lA6vT4fxVVtVDV0YjQa9LyCRgPhVjMLchLGrNLA\nYGiaxmsflvHqDj1eKCE6lDuvnk1mko36Vicmo2FA13WH091Xp20ymMQEs+Pm3Xc/cFXvLEcIsRT4\nC7B8iHYdwPcG2JMaVdFDhSKYmJsdz2/vWo3RYBjWZj6AxWziq9fN4ZeP7eMfb+aTEB1GSnw4lQ0O\nymo72LyvAq9P44tXzhqWgQo0EqLD+N3XV4+orcloREyJRUxi0LnBYOC6C7LJSIzEGhaCSP0ohjEj\ncfBltIlMNxQsjNqNp/8ynJRyvxBiOH0WAsX+NkVCiCYgBX3/aVRFDxWKYGMk3nRpCRF86erZPPzK\nMX79VC4evxdgL1evzmROdmBmhP+4sHiGPaBmqMHKiIyUEKI3DqpACPEweuZzD3ALsHcYXdwBLBdC\nXAp8Dt0Q1fqPjbroYaARDAkmg0Fjf4JF73jq3GC3YbKYefzN40xLjGRauh4sOz0jhinJ516UUF3T\n8UHpHR0j2pMSQvR6753euLcy78VDtA9Fn00loBugb6EXQiwCPoOe/by36OF9Q9WUUntSoyMYNPYn\nWPQGi04IHq3BorMXpXfY4w64JzWiBWsp5Xrg5+iOD0v8/7zoKZEGNVB+fgN8Cd0N/VYp5W4p5QNS\nyjf8fc1CL3r44miKHioUCoUiuBmRkRJCXIxeUuMFYDVwEXqWiGeEEBcN0fZ2oF5K+Q76TOl0ngG+\nhp609gIhxMD5MhQKhUJxXjPS5b5twLellIdOe30J8ICUcsDcff62va7nC9GLHF4rpaz3H4+SUrb7\nH98FxEkp7ztnkQqFQqEIekbq3Rd1uoECkFLm+jOjD4iU8sLex/69ra/2N1DAMSHETMAJXIzulKFQ\nKBSKjyEjDaKIPJuruf+1czF8mr/dzUKIO/0zqB+jZ0bfBhyTUm4aoUaFQqFQBDkjXe57CHBJKb/f\n7zUTeqmOnv6vKxQKhUIxUka63PdD9DpSxegl483AUvTS758cI20KhUKh+JgzFrn7lqEv2+2RUu4Y\nK2EKhUKhUIw6C7pCoVAoFONF8GWfVCgUCsXHBmWkFAqFQhGwKCOlUCgUioBFGSmFQqFQBCzKSCkU\nCoUiYFFGSqFQKBQBizJSCoVCoQhYlJFSKBQKRcAy0rRII8afhPZxIAu95PyXpZSF/Y5fA/wUcAOP\nSikfmWiNCoVCoQgMJmMmtQEwSSnXAL8EftV7wG/A7gcuRS+k+BUhhH0SNCoUCoUiAJgMI1UImIUQ\nBiAa6Ol3bBZQJKVsl1K6gR3AgAUUFQqFQnF+M+HLfYADyAYKgHjg6n7HooC2fs870A2ZQqFQKD6G\nTMZM6rvAJimlABYATwghQvzH2tENVS82oHWC9SkUCoUiQJiMmVQzulME6AbIDJj8z/OBHCFEDNCF\nvtT3u6E69Hi8mtlsGuptCoVCoQhMDAMemOhSHUKICOCfQApgAf4XXWCElPIRIcRVwM/8r/1DSvnw\nUH02NHQEbL0Ru91GQ0PHZMsYlGDQ2J9g0RssOiF4tAaLzl6U3mGPO6CRmvCZlJSyE/jMIMffBN6c\nOEUKhUKhCFQmY7kPIcRtwO3oFX3D0PemkqWU7f7jfwTWoDtOAFwnpQyenyMKhUKhGBMmxUhJKR9H\nD+hFCPEQ8EivgfKzBLhcStk8GfoUwYumabR0uKhp7MThdNPZ7aGr202H0011QyetDhcGg4FZmbFc\nuCCV9MTIyZasUCgGYVKMVC9CiKXAbCnlN/u9ZgCmA38TQiSj70s9OlkaFYGPz6dRVNVKbmEDBwsb\naWrvHvC9kWEW3F4f7+ZW8d6BKtbOT2XBtHimpUUTFREyYDuFQjE5nLOREkJMGey4lLLiHLr7MfCL\n016LAB5EzzxhBt4XQuyTUh47J6GK85Kubg9FlS0UnGikvsVJXVMXx0qbcTh1h9Ewq4nFM+xMSYzE\nFhFCRKiZ8FAzEaEWkuPCCbOa8Xh9HC1p4vn3i9l+uIbth2sASIoNY0ZGDNesySIhOmwyT1OhUPg5\nZ+8+IUQp+l5SKJAEnAC8QA5Q4o9/Gk4/0cAOKeW80143AuFSSof/+f8AR6SUTw/Ul3JBP//pdnl4\n+u0CXvvgBD7fqd/ZWJuVFXNTWDU3hXk5CVjMwwv/c3t8HC9toqCsmeNlzciyZjq7PUSEWfj2Zxax\nal7KeJyKQqE4k7Hz7pNSZgMIIZ4F/iyl/MD/fBnwn+fQ1Trg3bO8PgN4Tgix0K/vAuCxwTpqaek6\nh2EnlmBwQQ10jYeLG3lqs6Sp3YU9JpRV81KxhZpJjA0jMTYMe0wYRoP+HW9t6TynvlNjQkldmMrF\nC1PxaRo7jtTyr3cK+dVje7lkcTo3XTwNywh/AAX6de1PsGgNFp29KL3DH3cgRrMnNavXQAFIKfcJ\nIWaeQ3uBPgvTnwjxXfS8fW8IIZ4A9qDn9XtcSpk/Cp2KIKWx1cnzW0vYX1CPyWjgqlWZXLM6i7TU\nmHH5QzIaDKxbkMq01CgefjWPdw9UUVTdylevnUNKfMSYj6dQKIZmNEaqSghxL/AcenqlW9GTxw6J\n3wX9KkATQtzMaS7o6OmRDP5+q0ehURHAdHV7qGpw0NDqpNPpxtHtobPbTafTTUeXG1nRik/TyEmL\n5rYrBGn2ifHES7NH8pPblvLMlkK2H67lF4/u4xPLpzAjI5opSTaiwpWDhUIxUYzGSN0K3As8i75H\ntQU99mlIBnNBF0IkAXcDi4FwYIcQYrM/K7oiiPFpGh2dPRwrbWbnsToKK1vx+gbeE02zR7BhRSYr\n5iT1LedNFFaLiduvnMXc7HieeFvyxs6yvmOxNivT0qK5elUmU5IGXqZQKBSjZ8RGSkrZgm5MRszZ\nXNCB5egOFR6gXQhRBMwHckczlmJi0TSN0toOdh2ro7K+g+YOFy0drlOMUnaKDZERS1JcGLZw3RMv\nIsxCRKiFiFAzIZbJd4ZZOjORWVmxFJS3UnGyg3L/v/0F9eQW1LN6bjI3rJtKXFToZEtVKM5LRmyk\nhBC3A78HYv0vGQBNSnkud5azuaCfXq7DgSrXERT4NI3yug6Onmhib349NY26E4MBiI4MITPZRqzN\nSro9ktVzk7HHBIebd0SohSXCzpJ+9TePlTbx/HslfHisjn2ynk+uncqlSzMwGid2xqdQnO+MZrnv\nHuCikcYv+V3QZ0gpt512SJXrCHA8Xh/HTjRTfrKD9q4e2jt76Ojsoa65i/YufVXWbDKwbGYia+al\nMDsrFrNpMqrCjB9zs+OZ/cU4Pjxay7+3lvDse8UcLGrk9itnkhQXPtnyFIrzhhFnQRdCfCClXDvS\ngYUQ1wCXSCm/c9rrScBmYBl6Xr9dwEIpZc+ZveioOKnxR9M0SqraeC+3km0HqmjvPPXjMBggLiqU\nhTPsLJmZxCKRSGSYZZLUTixtDhd/fuEwu47WApCSEMHC6XYWzrCzYLqdiI/JdVAoRsHYl+rwJ4FN\nRzcofXlopJRPDLP9fwA9UsoH/c/7u6B/CfiqX/h9UspXButLleoYHWfT6PNpNHd0U9/ipLS2nd15\nJ6n2L9/Zwi2smJ3E/GnxxERasYWHEBlmxmScmNlSIF5TTdPYc/wke/PrKahoobvHC0C41cxXrp3N\n/GkJk6xwcALxmp6NYNHZi9I77HHHxUidLZ+eJqW8Y0QdjgJlpEZHr8bapk62HqzhWGkTDa1OPN6P\nLqvZZGBhTgKr56Ywd2rcpC7fBfo19fp8lNZ0UFzXwUvvF+P1+rhixRSuXzt12NkwJppAv6a9BIvO\nXpTeYY879vWkpJRfBBBCxPo9/YaNEOJHwLXoRQ//0j+BrBDiO8CdQL3/pa9KKYtGqlMxOG0OFwdK\nmtiyp5yCCn3rL8xqIiMxksTYcBJjwkiOC2fetPiPzfLdaDEZjeSkR7NqUToiLYqHXz3GW3sqOHqi\nmS9fM5sMlXldoRg2o/HuW4AeyBsuhFgJbAduklIeGKLdhcAqKeVqf5Xe75/2liXA56WUB0eqTXEq\nXd1ujp5opqSmDafLg6vHS3ePl/auHipPOuidL82cEsP6xeksmp5w3jk6TBbZKVH84o7lPPdeMdsO\n1XDvY/u4Yd1ULl+eMWHLowpFMDMa774/ATcA/5JS1ggh7gIeRo9zGozLgWNCiFfQPfd+cNrxJcCP\nhRApwJtSyt+MQuO4Ul7XQXioOWBdqRtbnWw7XMOW3Cpc/j2S/piMBmZkxLB2cTrTU2wBex7BTmiI\nmduumMnCnAQefauAF7aW8NbucsSUWGZlxjIzM5bU+HAMExywrFAEA6MxUuFSynwh9KTnUsp3hBC/\nH0a7BGAKcDUwFXgN6J/z7xngz+iu6K8IITZIKTeOQue48YfnDtHd4+WGtdlctixjUmYfTpeHwspW\nWh0u2rvcdHT20NbZQ01jZ5+jQ1RECFeumMKcrDhsESGEWkyEhpiwmI0YDIagWzcPVhbkJPDLLy3n\n1R2lHClp4kBhAwcKGwB9xvXNT84j1madZJUKRWAxGseJzeizoEellIuFELcAd0op1w/R7tdAvZTy\nAf/zQ8ClUspG//OofimS7gLipJT3DdbnZLmg7z1ex5+eP0Rrh4uslCg+v2EWS2YmYRqDgE6H001j\nq5Nulwe314fX68Pj1fB4fXR09lBS3UZxVSslVa2nODj0EmY1MWNKLBcuSmftojRCQya1vqXiLNQ1\ndXKkuJFdR2vZn3+S+OhQfnLHCnLSYyZbmkIx0YyLd9809Px7ywAnUATcIqUcNMmsEOIq4FtSysuF\nEKnAVkBIKTUhRBRwDH1m5QSeR6/Mu2mwPifTu8/hdPPv94v54IgeIxNiMRIVHkJURAhR4SGkJdnI\nTopkVmYsYdbBDYXb42NXXh3bD9dwoqZ90PeCvlw3JSmSudnxJMWFERUegs0/dnRkyLDz3QXbTCpY\n9A5Xp6ZpbNpbwQvvl2CxGLn9ypmsnJ08AQo/4ny7poGC0jvsccfFSH1NSvmw3/nB1C+D+XDa/ga4\nGN16/hf6EmCElPIR/4zs2+ixV+9KKU9Pm3QGgeCCXnGyg60HqzlR205Hl5v2zp5T8tSZjAbSEyOJ\njgjBYjJiMBowGvTXjQYDXS4PJdVttHe5MRhAZMSQEh9BqNWE2WjEZDJgNhkxGQ2EhpjISLSRkRgx\n4lpH/VF/SOPDueo8WNjA314/jsvtZfmsRG79hJgwj8rz9ZpONkrvsMcdFyN1TEo5d8SqxpBAMFKn\no2kaTpeHLg98cKCSIyeaqG5wnHVprhdbuIU181K4dEn6hCYsVX9I48NIdNY1d/GPN45TUtNOdEQI\ni4Wd9IQI0uyRpNkjiAgdH6N1Pl/TyUTpHfa4Yx8nBVQKId5DL07o7H1RSnnvUA2HiJO6Bvgp4Ebf\n73pkFBonDYPBQHiohUy7jYRICzesm4qmaXT3ePH6NLw+DZ9PQ9P0x9YQk6pTpCA5Lpwf37qEt/aU\n8+qOMt4/cGo5tZy0aD6xLINFMxKUC7viY8E5GykhxG3+elC7+708bE+BweKkhBBm4H50N3Qn8KEQ\n4lUpZcO56gxEDAbDkPtSCoXRaOCqVVlctjSD2qYuqhsdVDd0UlbXQX55C8XVbSREh7JhZSYXzE9R\nMW2K85qR3DG/jV7Sfci9ogEYLE5qFnr+vl7vvh3AOuDFEY6lUAQtIRYTmck2MpM/KqxY29TJlv1V\n7DhayxNvSzbuLuea1VnMnRpPTGSIirVSnHdMxs/6weKkTq8l1YGqJaVQ9JESH8HnLxdcsyaLN3eV\ns+1QNY++VQBAVLiFKck2spJtXDA/lcQJDM72+TSa2rupaeyk1eFC0yDUaiI0xIzRQN/ytk/TY/va\nHC7aOvUyL22dPTicbkxGA1aLiRCLCavFRHpiBAumJZCdGjXhlZkVgcM5O04IIVxA9VkO9RY9nDpE\n+wHjpIQQ84DfSCmv8h+7H71K70uD9alKdSg+rtS3dPF+biUlVW2UVLVS36JvD1vMRm68eDqfung6\n1kEqHPt8GqU1bRwuauRoSSPV9Q4czh5MRiNGowGTSTccibHhJMWHEx1hxe3xUtPYSXN7Nx1+Q+Nw\nukd8DkYDRISF4NM0XD2eM5yLoiNDWDk3hbUL05g7LWFM4hAVAcfYefcJIfKADQMdl1KWD9F+sDgp\nM5AHrAC6gJ3ANVLK2sH6DETvvl6CwbsnGDT2J1j0ToZOh9PNkZJGXthaQqujh/goK/NzEjAaDLQ6\nXHR1e3SvU5f+v9N1qlGICrdgC9cNRu/sx+ny0NntOWMsk9FARJgFW5iFyDALMTYrqQkRxNmsmEwG\nnC4v3S69ncFg0MMt/CEU0ZF6HGF0pBVbmOWUisYer4/uHi+Fla0cLm7kcElTX/0yW7iF6IgQwkMt\nRISaiQi1EBFmJiE6jBkZMaTZIwJq1hUs39VeAtG7byRG6qCUctFoBA0RJ3UV8DP/sX9IKR8eqj9l\npEZHMGjsT7DonUydTpeH1z8sY0tuFR6v75RjIWYjYVZz37/U+HBWzE8lPS6MmMizp2Vyujw0tnXT\n6XRjNBqwx4RN2B6Yz6chK1vZm3+Swso2Wh0unK4zjSbo9bsyk20kRIcSEWYhzGom3GrGFm4hJy16\nQkM7IHi+q72cL0bqISnlN0crSgiRy0f7T6VSyi/1O/ZHYA36nhTAdVLKAa+cMlKjIxg09idY9AaC\nTrfHR1WDA6PBQKzNSnio+azegIGgdTj06vT5NLpcHjq73XQ6PVQ3OiisbKWwspWG1u4B26cmRDAn\nK4452bGIjFisIaPfJvBpGi3tLiobHDi63LjcXrp7PHT3eDGaTTgcLqIjQ4iPCiUhOpT0xEjCreZx\nNfD1rU4q6jqoaeqkrqmLlg6Xrseoz2oNBjAaDBiAzm4PbZ09eLw+7v3KahIiJ74kz5jGSY2RgbL6\n+7p4gLcsAS6XUjaPdiyF4uOMxWwkOyVqsmWMOUajgUj/MiOxMDU1irXzUwFwub00t3frS5rd+tJm\nc7uLgooWCipaeGd/Je/sr8RsMpAaH0Go1UxoiMn/z4zVYsKnabg9Xno8vj6HD82n4dM0NA3/cR/N\nHS6a2rrPmK0OhdlkINxqJsy/bBlns5IcH05yXDjJcRHYY/SZoAH6xtM0DZ9Pf+zx+mhz9NDicNHS\n4aK1w9X3uK65q29vsj8hFiNo6OeifXQu4VYzUREhJESHEhtlBd+5nct4M1lBOwuACCHE24AJ+G8p\n5R4AIYQBmA78TQiRjL7kd7YqwAqFQnEGVouJlPiIM16/YsUU3B4fxdVt5JU2c6y0ibrmLnrcI78p\nR4ZZSLdHkBgbRpo9kpjIEMJCzFhDdA/F1OQoWlu7aO1w0dTezclmJzVNnTicbrr8BrSpzTmsXJ3D\nJcxqYtH0BKanx5CaEE5KfASxNuuw4uns8REBN6OeLCPVBfxOSvkPIcR04C0hxAwppQ+IAB5ED+o1\nA+8LIfZJKY9NklaFQnGeYDEbmZWp1/G68aJpgL7npS/R6ct0LrcXo0H3arSYdS9Hg0HPtWn059o0\nGPQKzBbz4Dd+u91Gg8VIun3gasyaptHq6KGuqZO65i5qm7tobnfhcLoxgL401zeuP+enyUh0RAgx\nNiuxkVZibda+x2FW03kVLzdZRqoQKAaQUhYJIZqAFHTX9i7gQSllN4A/9dIC9OzoCoVCMaYYjYY+\nJxKY+HpeBv9+YazNyqysuAkfP9CZLCN1BzAP+IbfDd0G9LqZzwCeE0Is9Ou7AHhssM4G23QLBOx2\n29BvmmSCQWN/gkVvsOiE4NEaLDp7UXpHx4izoI8GIYQFeBTIBHzAD4FV6CmR3hBCfB/4DNADPCGl\n/NuEi1QoFArFpDMpRkqhUCgUiuGg0icrFAqFImBRRkqhUCgUAYsyUgqFQqEIWJSRUigUCkXAooyU\nQqFQKAIWZaQUCoVCEbAoI6VQKBSKgEUZKYVCoVAELMpIKRQKhSJgUUZKoVAoFAGLMlIKhUKhCFiU\nkVIoFApFwDLhpTr8lXf/gl4jqhu4U0p5ot/x7wM3A17g11LKVyZao0KhUCgCg8mYSV0PWKWUq4Ef\no1fgBUAIEQ18C1gBXA78cRL0KRQKhSJAGHQmJYSYMthxKWXFCMa8ANjkb79HCLG037FOoAy9CGIk\n+mxKoVAoFB9Thlru2wZowNkq32rA1BGMGQW09XvuEUIYpZQ+//Mq4Dj6LO/XI+hfoVAoFOcJgxop\nKWX2OIzZjj5T6qW/gboSSEav2GsANgshPpRS7h+sQ4/Hq5nNpnGQqlAoFIoJ4GwTIWCYjhNCCAF8\nHX0JzgCYgGwp5boRiPkQuE8I8T0gBCjud6zFP8Z2//MkIGaoDltaukYgY2Kw2200NHRMtoxBCQaN\n/QkWvcGiE4JHa7Do7EXpHf64AzFcx4nngFZgEXAISASOjVCP1u9/C+AVQnxXCHG1v+8sdOPpQ9+f\nOjjCcQKO0tp2fvCXnZTWtk+2lAlB0zR+98xB/vLKMTxe39ANziM8Xh9/eDqX+57cj8+nDd3gPKCy\n3sF//t9OCitbJ1vKhKBpGn968QiPbyqYbCkTRq6s58d/3UVze/eEjTlcI2WUUv4M3eHhALqH3ooR\njnkB8DMp5Rop5QJglpTyASnlG8Bq4F0gD91p4lEpZdMIxwk43j9QTVN7N9sO1Uy2lAmhrK6D/PIW\n9hfU88gbxz82N2uP18dfX8tj64EqSqrbKa5uG7rRecC2Q9U0tnWz9WD1ZEuZEGoaOzlY1MgHh2tx\nON2TLWdCeGdfJSdbnOw+fnLCxhyukeoSQliBQmCJlNIFhI5wzLM6TvgfJwAXAT9A35/6rhAiZ4Tj\nBBQer4+DRQ0AHC5uxKed/zfs/QX1AMREhrA3v56n3ylEO8/P2+vz8cgbx8mVDdhjwwA4VNQ4yarG\nH5+mkVuof7+PlDR9LGbOuVI/X5+mcaTk/P+M2xwuiqr0W3fvvWwiGK6Regp4HXgTuFsI8RYw0p9L\ngzlONAH7pJQNUspO9L2phSMcJ6AoqGihs9uDwQBtnT2U1pzfS36aprFf1mMNMfGz25eRbo/k/YPV\nvPxB6WRLGzd8Po1/vJnP3vx6pqdH88B3LsRqMXGwqOG8N84l1W20OXowGKDL5flYLPntl/UY/Nv9\nBz8GP0QOFDbort4GOFHdTltnz4SMOyzHCSnlQ0KIx6WUHUKIi4BlwNsjHPND4GrgBSHESuBov2MH\ngLlCiDh0Y7YS+NtQHcbGhhPI3n12u428rSUAXLduGq9sK0FWt7NyYfokK/uIwTYuR0JJVSsNrd2s\nW5hGTnYCv/r6Gn740A7e2FlGsj2S69ZNG1X/Y613LPjzC4fZnXeSmZmx/OIrqwgPtbB4ZiK7jtbi\n0gxkJAae5v6M5pq+/GEZ8NH3u6CqjQuXZY6RslMJhM++usFBVUMny2YnUVXvIK+0meiYcEIsZ96H\nAkHvuTCQ3sMnmgG4du00Xt1eQkmdg8tXjs9n3J/hevfFALf4jUevq+A84N4RjPkycK8Qoh3dOeKT\nQojvAkVSyjeEED8GNgM5wDtSyuNDdRjo3n319e3szasjMszCJ5ak8dauMjZ+WMrinHiS48InW+K4\nePRsz60EYHZmTF/f3/n0fH71VC6Pvp7HguxYIkItI+o7ED2mHE43m3aVkRIfzjdvmEdnRzfhoRZm\nT4lh19Fa3t9bzpUT8Ac9UkZzTUtr29n4YSnRkSFcviSdt3eXs/toLTesycJgGNCzeMJ1jiXb9unf\n77mZscRFhvD23kp2HKhk3tT4U94XKHqHy0B6XT1e8k40kZVsY9XsRF7dXsKzmwuYnhKJLTxkTMYd\niOEu9/0bWI/uem7o928kXA/slVJGoac++lY/xwmklM+jz9KOA++McIyAoqGtm5YOFyIjhtAQM7de\nNoMul4c/vXiErm7PZMsbF6R/uUdMie17zR4TxkUL0/D6NArKWyZL2rjQu7y1fFYS4aEf/fabmx0H\nQF5Z86ToGm+6uj383yvH8Pk07rx6NtYQE7MzY2ls66a+1TnZ8saN3u/3rMxY5voNU17p+fkZAxRX\nt+H1aczKjCUxJoxrVmfR2NbN/02A5+5wjVSylPJGKeXPpZS/6P03wjFPSYsE9E+LhBDiU+iefZtG\n2H/A0N3joanNiazQb8gzpughX2vmpfCJZRnUNnXxt9fzziuvt7bOHjxeH8VVbaTEhxMdceqvrDl9\nN+3zw0i5PV46u93ICr9Rzjg1rC860kq6PZLCyjZ63MGf5UvTNNocrr7Hj28qoLGtm6tWZzInS/9s\nez/j4+fJTdvhdON0ffRj0qdpFFa2Eh9lJSEmjBnp0VjMRo6fBz9Euns8p5xrL7JS/3sV/nvYdWuz\nWTQ9gYKKVp57r/iM948lw82CflAIMV9KeWQMxhwwLZIQYg7wOeBG4J4xGGtC6XF7yS9vQVa2Iita\nKa/rwGCAdHskcOoN7NPrp1Hd2MmRkiZe2n6CGy8a3R7NZOPx+njlg1I27i5nWloULrf3jBs2QHaK\njTCrmbzS4I8sKKxs5a+v5eH2+AgPNWM2GZiaGnXG++Zmx1HV4KCwqpW52fFn6Sk46Or28PimAvYV\n1PO5S6djNhnZV6A7iVx3wUfJaXqN1LHSZtYvDpx915Gw61gdT2yWGA1wxfIpXLo0g6b2bhxON/Om\nJgNgMZsQGTEcK22m1eEiJtI6yapHxu68Op7cLHF7NJYKO2sXpCKmxGA0GJAVrRgMMD1d/5s2Ggzc\neVIa1IYAACAASURBVPVsfvVkLu/mVpGRGMm6Banjomu4RmouuqE6iV5ewwBoUsqR5O4bzLvvC0Aq\n/5+98w6Po7oX9rtNq9577yO5925jY0yxDTh0EiDAJYTw5SYh5SY3jZSbXm7CDQmhmNBDgNCMG+Be\nZFu2ZVlt1Lu06mW1q9WW+f6Y1VqyVqtVs+Rk3+fRI2mnnHNmZud3zq/CAeSgXpMgCNWiKO53dcLZ\n4Dhhs0l85+ljFNtnUyqlgvSEIEpru6jR9eLvo2HxnBiUykta0u8/vJJv/PEIu3NqmJMWzjUz+IWe\njHG3vK6L//tHHpWN8tyjokH2XFw2N8bpeRdlRnDyYhMWhZKYcL8r3t+poKqxm9+8cR6rfRWsN5qZ\nmxpGXOxwwRwREcCaRXHsPV1Lla6PTSuSZ6C37uHqmkqSxPf+coKLdlfrd45UItkkAnw1fPehlYQH\n+ww7T0yYH2JdF6GhfqhUU1ts4Urd+6N5DTy3qwgfrRqNWsm7R6v49FwDmXYV9rK50Y6+rJgXQ0FV\nB3XtBjJSwmekv5Ph2IUGnv2wCB+tiqhQX3KKdOQU6YgJ8+O6FYlUNfWSFhdEYnzIsON+9Ohqvv6H\nw7y6XyQ7LZw50zAJc1dIfWYK2xw1LZIoit+2O1Hcbe9b/lgCCmaH40RuSQvF1R1kJ4WwbXUSabFB\naL1U/ONwJXtPVpMeF0R7u37EcY/vmMfPXsnl6bcvkBUfiHKKDc3uMFHjrmnAynvHKtl/pg5JgrXz\no1kzL4bf/v08kgQxwd5Oz5sWE8DJi02cvFDP+gXjn33NBmP0zvcLsNokHt8xj/25dZTXd5MSPbxf\ng/2MDPBCrVKSJ+poXeWysMCMMdY1za9o52JFG/NSQ1meFcmLu+UsC4/dOg/JbBlxrJAQxKG8Rs4W\nNpESM3J1OV39nCosVht/+7AQlVLBd+9fSmiAlo9z69h3upbcYjmQNTbk0vOdHCFPtk7mNzI/aYgd\ndhY8q2Nhsdp40T7W33xlAz5KKKvv5uiFRs6UtPDKnmIAUmMCR4xFBTx2y1x+9+YFnv5HHj96eMWE\n+uBKkLsrpGqBx4DN9mMOAH+aUG9GSYsElCFnmrhXFMUVgiA8CdwnCMI8URQnmoLpimCzSbx7tBKl\nQsEDNwpEhVzy2Htw2xy6e/rZsDDG6bGx4X5kJYZwvqwNQ78Ff5+JebxdaUrrunh+VxFt3f1EBvvw\n+RsFsu02ifu2ZNLeYyIkwLnaI9Ie5NrVa7pi/Z1KxNpO8srbyEwIZqkQQUKUP+8cqmD9Auf32Euj\nIiTAi86rdLw2SeKfRypQAHduTCc+wo/WLiMh/loWZYQ7PSbS/h3o6jWB88syqzl2sYmWLiPXLokj\nzr7av2VtCtcuiWff6VpsNonIIavHuAg/Anw1lNR0IknSlHs1TifHLzbR0mlk05I4kqJlQZSZEExm\nQjD3XpfBqSIdRdWdbFoc5/T47ORQYsJ9ae2enlRJ7gqpXwMZwE5kVd9DQArwxATaHEyL9A8AQRDq\nRVHcYv9bBdwIIIrijwVB2IqsXpzVnCxspqndwIaFscMEFICfj4Yv3DzH5fGBdueCXsPAVSGkjCYL\nf/rnRQz9FrauSuKWtcnD4kPGskME+g6O9+pKJWOx2th9soZdJ6sBuG1DKgqFgqgQXx7/zHyXxwb6\nelHd3HvVvcAAzomt1Or0rJoTRUKkbF+9bYw4twBf+TnuvQrTBQ2YrXx4vBovtZLta5KHbfP30XD7\nNSPHrlAoyEoM4UxJC7pO46wILXEHs8XKB8er0aiVbF+dPGK7r7eGTUvi3fpON7T2YbHaUE+xetdd\nIXU9sHjQdiQIwkfIQbgTEVKjOk6IomgFOuxt/AY4J4ri9LqOTBKzRXYYUKuU3LI2eULnGIwz6Okb\nICZsYjaaK8nHuXXojWZ2rEvhlnXjr+biGK/hykSsTwXlDd28tKeEhrY+QgK03H+9QKYTx5DRCPD1\nwmqTMJos+E4wPmwmsNpsDi3Brevdv9eDE6+eK5SVYCo5eL6Bzl4TN61KHJcTRFaSLKRKajqvGiF1\n8Hwjnb0mblyZOKrmwx0ckxKDeVLncYa7Qkpt/xkY8v9E/WldOU5gzxG4E1mQPT7BNq4Yx/Ibae/p\nZ8uyBEIDJ5bOMHDIDZ7tGPrN7Dtdi7+Phi3LEyZ0joCraLwAe07V8PbBCiRg05I47rgmDR+tu18d\nmUA/ecw9BvNVJaQOnG2gqd3ANYtGaglcEXgVTkRAtrN+dLIGH62Km1aOL/g6y+6eXVLbycZRVGOz\nCXms1Xh7qdg6yUDzwCET7ZkSUq8BhwRBeMP+/73A6xNs01VaJIAPgE9EUfyNuyecLu++sVQzkiRx\nJL8JtUrB/dvnEBLgXEiN5d0TFy0blm1K5Yx5AkVEBDjyy7ka8+4TVRhNVh7YmjnC02c8+PloMJgs\nEx7vVFwnd8ZrNFn44Hg1QQFavvPAcuamjs97abCfUeGymkypUc9ab6/L+/XPg+W88WkZ/j4aHrx5\n3jAPvjFRy68Ws3Xqvdsmej537veB3Fr0RjN3XZdJSmLouM4fHu5PaKA3pXXdhIf7O9qZifvt3ljr\n6DWYuXNzxrCxTqS/0RHT93y7m7vv54IgnAeuRQ4A/h9RFHdPsM13gS2CIDQBfkChIAg/BU7Z+7Me\nSBIE4QfIzhU/EkXxf12dcDq8+86XtfLX9wv51mcXkxYb5HSfWl0vNc29LM2MwNJvprV/5MrALe8e\ni7wobdT1zFjBscambr7/fA5zk0N54MasUffdf7IahQIWpoROqq/+Pho6e/ondI6p8pjak1PDnlO1\nPHCDwLKsSKf7HL/YhGnAyg3LE4gM8BpXu0P7OTiFqmvsIjJg8mlkxsueHNmWduPKJG5ckYDmsknd\n0L7aJIm3Dpaz73QdIQFavn7XQqcefK4w25/p1s6+KX2mJ3rvbTaJH7xwiuToAL5w89xR99t7ohqA\nJelhE2onMyGInEIdF4qbiYvwnxHvPpsk8cMXTpMY5c+jLsa676Sc7HnoWCfaX6XdH66uqYuEsHFM\nZuxMOi2SIAheQIMoit9CTgK7SRCECfnsiKIoIefm22NPjfQ1YL4oirtEUXwP2SFjAAgFEoCHBEG4\n4vqR3JJWBiw29ubUIkkSZsvI1B8nCpoBWDMvelJtBQw6TsygkblG10trVz9H85tGeKENvnCaOwxU\nNPYwNzl00kv6QF8NvUbzjJYsySnSoTea+fN7BfzjYDlWm3yPbTbJ0S/HPZ4/ORe1mVbpnirWYTRZ\nefdIJd9//hR5ZW3DMrMPpraxWG28sKuIfafriAnz5Xv3LyXOPkseDxq1Ch+tip6+2aHSbWjro6nd\nQE6hjpZOg+NeD6W9u5+Smk4y44OGee6Nhyx7DFVJ7cxlgW9s7aOxrY9ThTp0o4y1o6ef4upO0uOD\nxqXGHY3pdIYaT6mOOwRBWAE8iWxXemkS7bpKjbQCOCaKokUUxR5k1/QFrk6291TtJLrinAp7obpz\nZa38/s08/vMPR3j3SCX9A3LKENOAlRx70tj5aZMLYHPcYDeNzEaTnC9tsJ7NVFBurxNjtUkcPN9A\nVVMP7xyu4HvP5fDY7w6TX9HGEXuxxskKZZDHLEnQ56ZgPni+gRc+KpoyoWY0Wahv1RMT5ktUqC97\nT9Xyu7/nUVDVzjf/fJxn3itA12mgpKaTjEm8tAYZnIi4Y6M5lNfAC7umbqz9AxbqWvQkRQdw/fIE\n2rtNPPVOPn94K5/6Vj3PvF/AAz/aR1N7H8/vKuJkoY602ED++76lE7azguws0uvGeFs6DTz97sVp\nrVg9WHhSAnbuLuHLfzjKB8cvlY1p6TTwyn4RiclNSLLsMVLu5Ka02mycFVv4v3fyOV08dUUEh471\nxcGxHhsy1i4jL++zj3UKvsswPhvk8YtN/PWDQqfC0xnu2qRSRFG8SxCEXwMviKL4K0EQzrh5rDNG\n9fBzsk0PONe32dmdU8MNKxKmzLW3u2+Ali4jXholA2YbhdWdqJQKPjxRzZH8Rm7fkEZDm54eg5nt\na5Im7XLp76NBgWxUHwtJktj5UTFnS1sx9JtZKkRMqu1BBoWyl0bJrhPV7LKrPTRqJQoUvLRXdBhF\nF2dOvs1LL23zmFmUCyrbedX+pdq+JpmoyMkHh1Y29SBJsCgjnG2rknnhoyLOl7U5ZsC5Yis1ul4k\nYPPSyWcCuTQRcX2PC6s6eGXvkLFOgZdYVaM81jlJIdy5KZ31C2N5/eNSLla2c7HyUnqqP7x1gdau\nftLjgvjGPYvQOik7MR4Cfb2o6u7BJkmjBqmbzFb+9M8C6lv16DqM/Oih5cOyskwV5fXyffXSKB3J\ngD88Xk1WYgini3UczmvEapNIjQ1kRbZz1a87RAR5ExboTUlt56iTDL3RzNELjRw4V097j6y16DEM\nsCI7asLtDqV8yHfZMdYT1QiJweSWtHIor8Ex1pVT1KbDGWqM57u0rosXd5dgkyRuWplIYtTY9iu3\nvfsEQQhHzmB+myAI0cBkvj2uPPx6kAXVIAGAy7Wz3mhG4+1FyCRmfUMpb5ZXDDuuSedCaStxkf58\n4dZ5vH+kkn8eKmfnbjkCOyrUl8/fPA9vL9eX0R1DYoCf15iOBH1GM8+/X+CogNrQbpgyB4KKph7C\ngry5ZX0q7x2uYGFmBKvnxbBEiOS1fSW8d1iuh/Wl2xcSH+u+6/VoRNkDJFVjGFr7jGae21XsiADv\n6ZdVj5Mdd9M5uWbn0uxokhJC+NGja3jnYBm7jlWydW0Kb+wTae3qZ3FmBFvXp014AjTYT5VW/hKb\nrLZR+y6Ptcgx1m6TlXlTcH8/ta+Al86R0/hERASwMCuKExebePmjIpJjA9EbzOSXt6FWKfj655YS\n78bLYyzCgn0ob+jG19971InIc+9dpL5VT4CvhvpWPQW1XWxe7jorx0TufVWznJrs89vm8O6hctYv\niuPNT0r55WvnAIgJ9+P+G7NZuzB20kJykRDBp2fq6DNLI/pbp+vlO389iaHfInvVrUnmnNhCY1sf\nYWH+UyKgq5p78fPR8ODgWBfH8ebHpfzq9fMAxIT5cd9NWaxbGOe0vYlcX19/+d3bbxn9+a5s6OaZ\nDwodwru73z3HKXeF1G+QHRs+EEWxQBCEUuAHbh47DEEQvIHVyPWpHgSeYriH32ngBUEQliBnpIgF\nxsw4kVfSPGXJO88WyXaIpAg/blwmz6KNfSauXxrHsoww3jlcybmyVu67PpPebiOuzIzuGiL9fTR0\n9ZpG3TevvI1X9ol09pqIj/DH20tFeUM35dXtIzKNjxerUklXr4llWZGsnxfN+iEqgN4eI1uWxHEi\nv5HUmEDSo/2nxBA8+ODVNXUTHTS6fevAuXp6DQNkxgdRWt9NYXkraxbETroPF+zlr8OHOENsXBDD\nRnvWiJ6efg6ca+DuTWm0tY1MZ+UOQ+/9oM2nrdMwat8Pnm+gp+/SWIvKW8mMmbywuFDaAgwfK0Bm\nTAD/88hKAPpt8M0/HmHr6iS8lUzJPdaqZQ1DVW2H0/g/o8nCvpwawgK1fPPexfzg+dO8vLuIrLhA\np8UDYWKG/W69ieZ2AwvSwliaLv9IkkR5bSeVTT1sX53E+oWxqFVKp6nLxkuyPeD5ZF49qXFBw/r7\n1scihn4L21YncdPKRHy9NXR0GclpN1Bc0TpptXJ33wBNbX3MTx0+1oraTsoburl5TbLLsU7UcUKS\nJNQqBe1dRqfHF1S28/R7BZgGrKyZF82JgmaKKtocKaQmnRZJFMXXGe5yno2cd28ifAnZHhWD7C34\nN2DjkNRIeqCOSw5RAD5citFySn1L35QIqbL6Ls6KrSgVClKd5BwLDfTmCzfPmfLMAYG+Ghrb+rDa\nbKiUl9SHvYYB3vikjJwiHSqlgh3rU9i6KokPjldT3tBNfaueIL/xucpeTkGFrPLJiHOuVfXRqvnl\nF1dPqo3LGVQPjBXseeRCI0qFgnuvy+THfztDfWvfpNu2WG1UNnYTFerrUMNdzo71qexYP5H8yc5R\nq5T4eatdGpaP5A0fa13L5F+YFquNioYeokJ8Rh0rQEJUAH96YsOk2xuKIzZslCD1MyUtmMxWblqZ\nSFSIL1uWxbPnVC2fnq2fsgKRkiTbWAHShzzfCoWCxz8zb1qyf2QnOXeeMA1YySlqJiRAy471KY7v\neXykPxTpqG/RT0pISZLEocGxxg8f65d2TM9Yh7Yxmg3yyIVGXt4rolQqeHzHPOYkh3KioJl6N59v\ndyvz3o5cOsMfOS2SClndNxHjxDrgV6IonhYEIRA4IYpiKVBqb8sLuFYUxW7738XAmMaa+tbJfaHr\nWvT883AFF+wv7M1L49F6ja6Tn+obPqgO0RvMBNmj3HNLWnhlv0ivwUxKTCAPbc1ylP0YTE9T36J3\n1PGZCJIk8dGJKhQwaQeQ8XDJG2h0IVXd3EOtTs/ijHASo/zx99FM+j6DXH7BaLKyfsGVLZsR6Oc1\nqmG5prmXGl0vi9LlsQb4amiYAoGcU6jDaLKMmldwOgkYw+PryIVGFApYZ+/bttVJHLnQyK6TNaxf\nGDvpFGFdehM7dxdTUNmBv49mhK1pul7aoYHeRIb4INZ1Yh1SEDBXbMFosnLd0oRhE9HB73R9i54l\nE7T3dutN7NxdwsXK9is61qEE+nrR1HHpmZUkiX8eqeSjkzX4+2j4yu0LHMIzLNDb7QnneHL3PQJ8\nA/gZckVd55klhyAIwsPIqZMG1ewKoJlLjhG9DLc/IYriADAgCIIaeZX1V1EUXQZCeamVDqls6Ldg\n6De7FXgoSRKt3f28f7SSnEIdEpAZH8TtG9McdVOuFI6VhV1I1bXo+fN7BWjUSu7alM71yxOG6Y/j\n7VmXnc1Gmtr7CPbXjpkVQZIkimo6Ka/rYmlmxBVN5TJ0vKNx5EITABsWxqJQKIiP8EOs7RpRlM1o\nstBrNLs1C7XZJHafqkWlVHD9BDNmTJQAHw3N7QZsNmmELeBIvmw32rBocKz+FNd00j9gGWbzHPdY\nc2pmZKwwNLPISMFc36KnsrGHBWlhDg9CX28NN69J5u8Hytl1opp7NmcAsvt4dKjPsBf7aAy61eeV\ntfHinhL0RjPzUkN5eGv2Fa3zlJUYwpELjVQ0dBPiI9+/wxcaUcCICcPgd7nOPgHr6RtAkiTHZHU0\nHGMtb+PF3faxpoTy8LYrO9ZBAnw11OhsmAasaL1UnC9r46OTNUSG+PDEXQuHubrHR/hxoaKdnr4B\n/H1dT0bcFVKdoigeFARhLRAkiuKPBEE4O9ZBoijuRE5x5EAQhHe45DTh1ClCEIRg4G3ggCiKvx6r\nncToAKqbegkJ9ePpnacoqmpn5w9ucDkTe/K5k+SVtiJJEpIEKbGBPLB1DkuzIqd81uGOcTDavs+T\nO09z/cokVCq5D9+6bymr548sZxEa6oeXWklzl3HY+T88Wslz71/kmsXxfONzS0dt7+j5Bv78zgX6\n7AHIn9uafUUj47185Fn2ofMNFFZ3sHJONJtXJJIWF4RCoaDfZOFUkY6wIG82rUxGpVSQkRRKSW0X\ntc09CEmXVo+/eOk0ucUt7Pz+Fpdf7J//7TQ5BU1IEmxZkYiQNjWeka4Yek3DQ30pre/mG38+ztzU\nMO7ZIpASG0T/gIXTRTpCA725dkUSKpWSjKQQims66bNIJMRdOscvXzrDmWIdL3xvC8EuYtV+8dJp\nTl6Ux7p5eYJbY53q+58YI+eG7rdK1HUYOVus43xpC8kxQQT5y/d/+/rUYe3edUMWB/Jkz7c7twjo\n2g384PlTPLR9DrdtynDZT7PFyld/f5jGVj1Wm4RGreTRHfPZvi7liif1XTEvhiMXGnn23YsYByx8\n9vosyuu7WZwZQXbG8FVOeLisJWjuMBAW5s8PXjiA1Wbj2f++btR+my1Wvva/h2louTTWL+yYx/a1\nqZN2vphwFphQX6jq4Ft/OcGOjWkU2rVSP3xkFUnRw00nmcmhXKhoRz9go6C2lVtdeOy6K6SMgiBk\nIqveNgqCcIAx3MJdcBzYCuTafx8dutHuWPEp8FtRFN8YefhIokN9Ka/v5tOcas6VtCABJ87Vjeoq\nXd3cw7mSFoL8vYgK9mHTkniWZ0eiVCgmbCQfDXcNkSrpklpg/6kalAoFIQFaUiL9Rj0+JtyPmqZe\n6ho68dKoeOdQBXvsMWNniprR6XpGPLCSJPHh8WreO1aF1ktFcnQgCzMjCPZWX9HIeJvtkntuW6eR\nXcer2HW8ivgIP9bNj8EmyauG65bG02E38IbZX2wfHq1CqwQ/bw3dfQPkXGzGJkkcPVvHyjnOXWob\n2vo4ebGJQD8vokN92bIkbtrHe/m9Vwx6NekHOJHfxIn8JpYJEcSE+dHXb2HTkng67OqSwbG+/Ukp\n912f6RjryYtN8ljP1bJqjvMYl8a2Pk7k28ca4sP1S+PHHOt0ZEawmeUV71uflvHWp2WOz+t0ehQK\nWf2ZHDHy+d6xLplnPyji+fcuOlYLx/MaWD8v2mU/TxfrqNP1Eh7kTUyYH3dtSiMuwn/Kv9PuEBci\nrw7FWjle6levyBE7q+ZEOe1/XLgfpXVd7D9RRYN9RTWYtcIZp4t11DZfGuudm9KIj/CftOPHZJ6D\nwXWu3mjmtT0lSEBGfBC+KsWIcw4+3+dLmjlR0MytLrLquyukvg/8D3A/8B3gi8Dz4xrBJXYCFwVB\n+AayM8Q6AEEQfgW8Zf8/BfiiIAjPAhXAraIo1ox2wsXp4RzLb+LZDwsdesWi6s5RhdSgGunBG7NY\nmD6m1vKKkBobRICvhnULYjhwtgGT2cr6BTEuVRyL08Opae7lw+PVdOpN5BTqiAr1JSLYm4LKDmpb\nekkeMoMxW6y8uLuEnCIdYYHefPXOBcTPUOoWpVJBdlIINpvEo7fMpaa5l2MXm7hQ3sbfD8iJ7y9X\njSzOCGdPjg+Hz9dztkTHbRtSMQ5YHC6tRdUdowqpoxdkddp9WzJHTYE03cxLCeNiRTsP3JiFWqXk\n/WOV5IqtgOxpOHSsi9LDiQrx4VSRjsKqDj6zIRXTgHXIWDtHFVJH7GP97HUZUxZ7MxEiQnyIDvVF\nqVQwPzWU+alhRAT78KMXz2A0WVg7P9ppjOGK7Cj2na7jlN1ZCKCisccRSD8ah+2u9k/ctXDGqwkE\n+WuZlxqKxSrh563mrNiKv4+GRaO8bxZlhCPWdfHcrkLHZ0XVnaMKqcHn+Wt3LiR2gtWtp5rsJDnm\nbMPCWHaflF/X1yxyXtQ0KzEErUbFhyeqGTC7Dup117vvMHDY/u9yQRBCRFEcO6TaOQ8Bz4mi+BNB\nEO5G9vb7miiK37ZvzwX+IAjCTmR14H+7ElAg3+CsxGBKarvwUitRKBQU1XQ43XcwU0RIgJb540wW\nOp0kRQfwh/9cJ9sjwv3Ze7p2zEzKN6xI5PCFRsfqKS0ukK/cvoDCqg4KKjsoqu50CKlewwD/985F\nyhu6SYsL5D9vW+AopzBTfPOeRQ51RkiAXECvxzDAqUK5dHVKTMAw22KArxc/+Y+VnCxu4Y2PRV7e\nJwKgUirw0igpqu5w6nXZ12/mREEzAb6aUYv0XQlWzoliRfYldfL81FAuVrazJ6dWniw4GesnZ+v4\n8Hg1rwwbq2rMsfr7aFicMf3qTFdoNSp+/uiqEZ8/dFMW7x+v4trFzoOklQoFd21K5zdvnMdqL1Hf\nazBTWtdFQpzzpMYtnQaKazrJTAiecQE1yBN3LiQiIoCa+k669QMsz45Eo3Y+6bx2STwHzzXQ0mV0\njLeousNppYHWLiOF1XImlNkioACWZEawOCMchUKBVqOioLKdZYLzCWGgnxfb1yTxzuHKMc/rrndf\nEvLKKRk5AezrgiA8LIpitbsDGMI64Ff2v/fgJN7Kvso67u4JFQoF92zO4Kcv5bJyThTdfQPkV7Sj\n6zTgrVFhMFkwma3EhPmx62Q1/QPWEY4Is4HBF87qedGsdiNdidZLxd3XpvPM+4UsSg/ni7fORatR\nOSrkXqxoZ2FaGNFhvjy/q5jyhm5WzYnioa1ZIxKMzgTO9O2Bvl5sWZ4wahkQjVrJ7ddmsDAlhHcO\nV3LsYhPLsyMxW2ycFVspqukkMdKfAF/Zk+7jM3UcOFeP0WRl66rJZweZLEPHrFAoWJAWzoI054JT\no1Zy08ok1syN5p0jlRzPb2JZViRWq41csZWi6k67J+DIsd60KnHUF+JMsywrcszVbHZSCIvSwymq\n7uDua9N5flcx50rbSIoPQWG1EuCjcVxLSZJ4+5AcbH7NQucz95lAoVCgUCjw89bw3ftHtw+DfK/v\nuS6Dp97O5/rlCRy/2ExJXReGfjMmsw2jyYLZYiMuwu/SWEdZpcwkg/dk+5rkEQUjL+f65Qkcy2/C\nanOemcNxzqFJJkdDEIS9wO+RhcsSZE+/+0VRdBlY4cK778uiKIqCICiAGlEUE4ccsxm4QxTFLwmC\n8CLwhiiK+12109raK4GcNDHAV8OBcw28eWBkrcRAP9mPPyzQmx8/vGLcNYEmwpVQpXX09BMcoB2W\neuaHL5xyuHiGBGjp7DUxNzmEr9+9aIRwmAl132QY2t/OXhN+3mqOX2zilf2lgOztuTA9nAsVbQyY\nbQT6arhhZSJbliVcUSE11dd1cKwnCpodq0iNWskiJ2O9bmnCuITUbHwGBsxW9EYzAb4avvyHo8OS\nPPto1USF+BAV6ouXWsnR/CYy4oP49meXzKrJ53iva2uXkbBAb177pJSD9qwoQxn8LqfHB/GdaRjr\nlX4O+vrN2GwSqUlhow7EXSGVK4riMkEQzouiuNj+WZ4oiovG2ym7d98vRFHMtcdJHRNFccGQ7a8B\niYAFyAJ0wAOiKOaPdk6LxSoNrSfV2dPPU//Iw2aT8PVWO4rMHTpXj9li5RePrxt3XaCrjeMXGvn4\ndA1eGhU5BU34emv40zc3ja8m0FVET98AT715Hh+tmvzyVjp6TIQHeXP7tRlsWZk06Tx0s4leR5k2\nrwAAIABJREFUwwB//PvIsd62KYPrV/1rjXWQdw+VU1DRTkSID21dRhrb9DS1GRyZPHy0Kp76xiai\nZ4mqb7JUN/XwwvsFqFTySszHW41pwMqRvAa81Eqe+sYmYmaRqm8KmLSQOopc6PADURSXCIKwDvid\nKIorx9sTQRD+C/g80I4cHHxOFMVHLtvnQeAxIA3YJYriQ67OObiSGovOXhO9hgG3khpOFbNhhtrU\n3odKqSBylJT8s6GP42Gs/g5mOE+JCZxR9d6VuK6DGc6TowMnpd67Wp6BYXWvbBIdPf3oOo2EBmpn\njS1qKFN9XXWdBiSJaYtpnKnnICIiYFQh5a6+6wlgF5AmCEIecq2nOyfRJwlZcmqwl6Ef4t3Xgew9\neA3wF0AjCIJKFMWJlqt3EBKgnfLSxlcDs/HLO534aNVXPBh7pvD2+vcZ6+UolQrCg33+ZbUDzpiK\n2k9XG2NOvQRB2I4sOJYjZ57oAF4BxgzmHYWVwMOiKK4H1tp/EEXx26Io5gLX2c/9MvJK6pWpEFAe\nPHjw4OHqw+VKShCEbwJ3I6vnspFjpL4KzAF+i1xV19Xx406LhJxuaT1ypnQ/4JggCMvtBRA9ePDg\nwcO/EWOp++4HVouiaBAE4ZfINqnn7V55RWOdfIJpkdqBQ/Z8fQZBEIqBTOT4Kae40mfOBq5kuqGJ\ncjX0cShXS3+vln7C1dPXq6Wfg3j6OznGUvdJQ5K7buJSyffJ1LUeTIsETtIi2bdvFATBSxAEP+QV\n3Eh/cg8ePHjw8C/PWCspiz3Zqz+wGNgPjuBe1zlKRucvwEt2j0ET8Fn7OX8FvGV3TX8BOGHf/yei\nKLqszOvBgwcPHv41cemCLgjCHci2JzWyqu9xQRDuAn4O/FgUxVeuTDc9ePDgwcO/I2PGSQmCEAuE\nDwbTCoKwFTCIonho+rvnwYMHDx7+nXErmNeDBw8ePHiYCWZnBkoPHjx48OABj5Dy4MGDBw+zGI+Q\n8uDBgwcPsxaPkPLgwYMHD7MWj5Dy4MGDBw+zFo+Q8uDBgwcPsxaPkPLgwYMHD7MWj5Dy4MGDBw+z\nFo+Q8uDBgwcPsxaPkPLgwYMHD7OWGRNSgiCsFAThoJPPbxYE4bQgCMcFQXhkJvrmwYMHDx5mBzMi\npARB+BbwHKC97HM18HvkEvIbgUcFQYi44h304MGDBw+zgplaSZUDn3HyeTZQJopijyiKZuAYsOGK\n9syDBw8ePMwaZkRIiaL4Ls6LJgYC3UP+7wWCrkinPHjw4MHDrMNlZV5BEBJdbRdFsXZqu0MPsqAa\nJAAYsyqvxWKV1GrVFHfFgwcPHjxcIRSjbRirfPxhQBrlBBKQOolO4eS8xUC6vWS9AVnV95uxTtLZ\naZhkN6aPiIgAWlt7Z7obLrka+jiUK93fc6WtdPaa2Lw0flzHXU3X9Wrp69XSz0E8/XW/3dFwKaRE\nUUyZ8t4MRwIQBOFewE8UxecFQfg6sB9ZgD0vimLTNPfBg4dRGTBb2flRMQaThaToANLjPNpnDx6u\nJGOtpAAQBEEAHgf8kYWHCkgRRXHCTg2iKNYAa+x/vzHk84+AjyZ6Xg8eppJzpa0YTLL59O1DFXz7\ns4tRKEbVTHjw4GGKcddx4k1k29BiIA+IBAqmq1MePMw0rV1GPj1bz4FzDQAkRQdQWtfFxcr2Ge6Z\nBw//Xri1kgKUoig+KQiCBjgH/BU4MdFGBUFQAH8GFgL9wCOiKFYO2f4HYC2ydx/AraIoXj2KXQ9X\nPX/bU0JxTScAmfFB3He9wJM7T/P2oUrmpYahHLKaMlts1DT3EhzgRWiAN0rlpW1Gk4WKhm6yk0NQ\nKT0JXjxMjn2na+kfsHLruum2xMwe3BVSBkEQtEApsFQUxWOCIHhPot0dgFYUxTWCIKxEDuDdMWT7\nUuAGURQ7JtGGBw8ToqFVT3FNJ3ERfsSF+7F5aTzxkf6smhvNycJmThXqWD0vGoBj+U28daicXoPZ\ncbyPVoWvVk2An5am9j5MA1Y+e10G1y1LmKkhefgXoLC6gzcPlAOwbn4MYUGTeQVfPbg7tXsV+BDZ\nVvSfgiDsARom0e46YC+AKIqngGWDG+yrrAzgWUEQjgmC8NAk2vHgYdx8alfx7ViXymO3ziMjPhiA\nz6xPQa1S8O7RSswWGw2tel7aW4LFamPjolhWZEeSmRBMWKAPoKC100CAjwaA82VtMzWcKUOSJGyS\nNNPd+LfE0G/mb7uLHf+fLtbNYG+uLG6tpERR/JMgCC+JotgrCMJGYDmwbxLtXh60axEEQSmKog3w\nA55CXl2pgYOCIJwRRdFjA/Mw7Rj6zZwoaCIsUMuijLBh28KDfdi4OI5PcuvZe6qG/Ip2rDaJL9w8\nl0Xp4SPONejO++MXz1Ba14XRZMFH667yYnZQUNnO3tO1eKlVVDZ2o/VS8f0HlhHg6zXhcza09fHp\n2Xru2pSGt9fVdT1mAovVxp/fK6C9Rw6DOHS+gZOFOiJDfAAQEkPwt0+G/hVx17vvh/bfQz+eD/xk\ngu32IAfqDjIooECOj3pKFMV+e5sHkG1XHiHlJhUN3YQH+xDk5/6LRJIk9p2uIzk6gKykkGns3ezm\nWH4TA2Ybm9bGO7UhbV+TzLH8Jt49WgXAiuxIpwJqKPPTwqjR9VJc08mSzKsnFaXRZOGF3cV06wcA\nWY3Z02Xm+V3FfPXOBcPscuPhnUMV5JW3kRjlz8ZFcVPZ5QljMlup1fVisdjITg6d6e44kCSJ1z8u\npai6k0Xp4dy7OYP27n7yytt4+l35lejtpeI7n1tCYtTosUZXM+5OY4Y+jRrgRuDUJNo9DmwH3hYE\nYRVwcci2TOBNQRAW2fu3Dvibq5OFhPgymzNOuApUm2qKqtr52Stn2bA4jm/dt2zsA+w0dZn4x8Fy\n5qeFs36Zy0QjU8o5sYV3D5WjUSvx89bg52P/8VbT2mmkp2+Au7ZkkhQdOOy46bimNpvE4QtNeKmV\nfObaTAKdCPkI4MFtc3jrQBnb1qZw64Y0vDSjP3sREQFcszSBXSeqKWvs4Ya1k41/nz4uv6Y7Pyyk\nWz/A3VsyuXldKv6+Xvzk+RzOiS3klLRy64a0cbfR3m0kv0JWfRZUdXLnlqxJ93OilNd3sft4FWV1\nXdTqerHZZFXmU9/YSErs1MXDTaa/7x+p4FBeI6mxQXz34ZX4aNXcsTmTisYe1i2Mxd9Xw1uflvHs\nh0X87xPX4Os9+RXVlXxfuYO76r4fD/1fEISfIgfcTpR3gS2CIBy3//+QIAhPICeX3SUIwsvIQnAA\neEkUxeLRTgRXT8aJ+lY9T79bwJdunTstsx6bJPHnty8AUFbb6XbkeEREAK/vky+xrr3vikWci7Wd\n/O7NC1isNpf75RQ0sWFRLMsE2eYzXVHxeeVtNLX3sW5BDCaDiVaDyel+K4QIVtiT83d3jf7sDfYz\nxEeN1ktFQUXbrM0+cPk1bWzr44MjFYQHebNpQQwDxgE6jAM8cH0mpbWdvPxREenR/kSG+I6rnQ9P\nVGOTQKlQcKGslYqadrzUSrfVflN17wfMVp786wl6DGa81EpSYwPRalQUVnVwKr8Rf83UeGJOpr95\n5W288H4BQf5ePL5jLvoeI3ogNsSbP35lnWM/vd7EnlO1/P61szx685xJxfFddRknXOAPTHi6LYqi\nBHzpso9Lh2z/HfC7iZ5/tiLWdqHrMHD8YrNTIdXWZSQsyNuth0ySJA7nNdLZa2LH+hQUCgUnLjZT\n0yw/YC2dRixWG2rV2F+28rouiqpld+uOXhOSJE17wKrZYuXP7xUgSRJP3LWQ9LggDP0WjCYLBpMF\nQ78Ffx8NXXoTL+0t4ZPcej7NreeLt85l2zTM9CRJ4oNjsgrv+in2wlMqFQT6augzmsfeeRYgSRKv\nfVyK1SZx73UZw1aKgX5efHZLBs9+UMSzHxbxrXsXo3WxkuzsNVFS00lZQzfl9V00tPah1ai4dmkc\ne3Jq+fYzJ9GqlfzqsTVovVxrQ0rruvjhztNcszCWTUviJqxuBDia30SPwcz1yxO4c1MaKqWSpvY+\nvvfcKSobu8edAmuqaWjV89f3C9GolXzl9gWEBo7uyfeZDamU1XdzqkiHkBg8a1SoU4W7Nqkq7CmM\nkD0Cg4HfTlen/lXpNci6/eKakZ71Z8UWnn63gP/Yls3a+TEAdOtNdOkHsNhsWK0SVqsNi02ip2+A\n3JIWLlTIgaVLhQgiQ3x453AFXmolmQnBFFR1oOs0EhfuN2a/cktkTyFvLxX9A1Z6DWanqq6pJLek\nlV6DmZtWJjI/VXZQGM2pYGF6GEXVnfz1g0Ke31VEVEQASeHjm8GPRV55G9XNvSzPiiQ+0n9Kzw3g\nq9XQ1Nc35eedDs6KrRTXdDI/NcypvW1ldhQXK9o5WajjL+8V8OXb5judDPX1m/nvv55kwCKvlL3U\nSoTEYLYsTyA61Jc9ObWYBqyYBqw0tveREhM44hxDOZTXQH2Lntc+LuVMSQsPbc0iapwrOZDj2vae\nqsFLrWTrqiSH7TEq1BdfrZqKxp5xn3OqefNgOSazlcdunTvmdVGrlDx261ye3Hma1z8uIzUm8F/K\nPuXuSmrjkL8loEsUxZm/k1cZfUY5vU59ax/dfQPDHBsGMxt8craetfNj6Ow18e1nTrpUhYUEaOns\nNXGhvI0Bi43uvgFuWZuMr1ZNQVUHTW19bgkpXbusssqID+ZiZTsdvf3TLqQO5jWgAK5ZPPasT6NW\nsTA9nP9323z++FY+P30hh89uyeTaJVMz27VJEu8drUIB3DJNQZK+3moGzDa3V7czhWnAyt8PlKFW\nKfjslgynK2qFQsFDW7PpNZrJr2hn5+5iHtk+Z8TKprndwIDFxoK0MG5dl0JCpP+wsf/XvYvJr2xn\n76laGttcCymbJFFU1UFwgJbUmEDOlbby5AunuW1DKtctSxgWQO0KSZJ4cU8x7T0mtixLGPacKxUK\nUmIDKazqQG80z5jHXFl9FwWVHWQlBrMiO8qtY0IDvXlk+xz++HY+f3mvgB8+uPyq8yQdjbFKdTzg\nYhuiKL48kUbdyDjxBeBRwAz8zJ7P76qn1zjg+Lu4poNVc+SA0LZuIyX27AY1zb3yj64Xi9XG/NQw\n4iL8UKsUqJVKVCoF3l5qUmMDiQzx4WtPHeN4QTMdPSZCArTctDKJsnq5uklj26WZe1u3kYPnGrhu\nWQIhAcMKItPc0YcCyIgPkoVUj4nk6Om7DvWtesrru5mXGkpksI/bx81NDuW/PruYp9+9yKv7S2nu\nMHDPtRluv6BG45zYSl2LnlVzo9wS6hPB11v+qvX1W8bldXml2XWymo4eE9vXJLlcpahVSv7fjvn8\n9s3z5BTq8PfRcO/m4UKtvacfgHkpoU4FUFZSCEqlwiGkXFGn09NjMHPtsgQ+tzmdMyUtvLq/lL8f\nKOeM2MLDW7OJCRv73n10soacQh1pcYHcfs1IJ5Y0u5CqbOxmQZprr82pZM+pGo7lN3Hz2mR2n5Qr\nIH1mw/icbBamh3P98gT2n6njVJGOjW5MAK8GxhK1m+y/04B0YDdyscIbgUJgQkIKFxknBEGIAv4T\nWAL4AscEQdhvr9R7VTPUJrEnp5ay+m5USgVN7QYkYGlmBGdLWzl8oRG9fd97Nqe7/PJlxAdRUisL\npTs2pqH1UhFrf9E2tl/64h8638ieU7UcL2jm8R3zyEwIdmzTdRgIDtA64i46e507DIwXk9nq1F6R\nUyirFzcsiB33OdPjgvjtVzbw5LMn+SS3ntZOI1+8de6E421sNon3j1WhVCi4de30pZrxswspQ795\n1gqp9u5+9p2uIyRAy7ZVyWPur/VS8dU7FvKr187xSW49gb5ebF9z6bj2bllIucqM4HhWxxBShdWy\ninyxEIlCoWBFdhRZSSG8/nEpp4tb+PXr5/nVY6tdelpWNfXw3tEqQgK0/OftC5zumxorC1OxtuuK\nCSmjycKHx6vpH7Dy7AdFAGxYGOsIIh8PmxbHsf9MHSW1nf8yQsql3kEUxYdEUXwIsAILRFF8RBTF\nx5ATzU5GcT9qxglgBXBMFEWLXaVYBiyYRFuzhl6jGS+NkvAgb+pa9Bw818AnufUUVnXgq1Xz0NYs\nwgK1HL/YRGFVO2GBWqJDXevcB20GabGBrJojqwZCArRovVTDvvi1LbJDhd5g5jdvnOfj3DokScJi\ntdHeZSQiyJvQAPll0mGfAU+Gw3kNPP77wxRUDU/IKkkSuSUtaDUqFqSFjXK0a6LD/PjufUuZmxLK\nhYp2XttfOmx7ra6X37xxngPn6hkwWwFZXfT0uxd56u18pCFZE06X6Gho62P1vCiixrjWk2HQNdjQ\n76wg9fRQq+vl56+epa3b6Nb+/zxSgcVq4/ZrUsd0YhjE30fD1+9eRFiglnePVtLdd0lb0GZ/jsJc\nGP39fTQE+mqGTaicUVglC6lFGZfizAJ9vXjs1nncuCKR7r4Bjhc0j3q8JEns/KgYmyTx8LZsAkcJ\nRs6IDybAV8OnZ+tpmUKv4dPFOpo7nJ/vZGEz/QNWVs2JYk5yCA/dlMXnbxSc7jsWkSE+BPt7UVLb\nNew5v5pxVzkeCwy19vcBMZNo12nGiVG26blKSsibLVaMptFfQnqjmQAfDT99ZCW/+OIqfvofK3jy\nweV874Gl/PSRlfh6a7hlXQpmiw2jycrclLAxvezWzI9h7fxoHtqa7dhXoVAQG+ZLc4fB0Z+6Fj1h\ngVq+de8i/LzVvPFJGc99WERzuwGbJGdTCA2U1YAdbqyk3jxQxq9fP+dY8Q2loqGbV/eXIklwoWy4\nkKpr0dPSZWRhepjLWe9Y+Hqr+dqdC4gI9ia3tNUhjACOXGikuKaTV/eX8q2/nODDE9XsyanhrNjq\ncJDYf7qWU0U6PjhWjUqp4JZpXEUB+GovqfsmSpfeNGycY3GmpIXy+m5OF7eMuW9zex8nC3UkRsk5\nCsdDSICWzUsTkCTIL7+U/qnDjZUUyKuptq5+TKOMzTRgpay+i8Qof4IvU1UD3LAiAbVKyb7TtY5Y\np8tp7TLS0NbH4oxw5roI1vXRqrn3ugwGLDZe3ie67Le71LXoeeb9Qp55v2CE4LBYbXx6th6VUsHd\nmzP45j2LWb8wdsLetQqFgqzEEHr6Bmhqn72hOePBXR3JR8DHgiD8E1mw3YlcvmOiuMo4Me4S8rMl\nmPfHz+dQ09zD09+6dpjRcjAGoK/fQnykP/GxwYxm8r91UyYHzjVQ09zLmoVxYwbWRQDfeXDliM9X\nzoul6mOR5z4q5qt3L6ZbP8DKudGsW5pIdnoEv3jpDDlFOrrtiVGTYoNITw5DqZBXfGO1e6aklY6e\nfv73rQv8z2Nrhxmgf/tmHjZJQqVUUKXrHXauj07J+vZrVyRNKmhw8NgNi+N552A5J0taOV3YzP1b\ns6lr7UOtUrDjmnT2nKji3SOyuVOtUmCxSuzcXUJDq95xrhtWJTEnI3LCfXGnn1ERsuJB7aWe0Lgr\nG7r5zjMnWbcojifuXeLWMR32TBHVOv2YbR49LzvuXL8qmahI195kzrh2ZRL/OFhOcV0Xt10nrwK6\nDWZ8tGqS4kNcvnTTEkIoqe3CZIN4J/3MLdZhsUqsmCvPiy8fS0REAJuXJ7Avp4bihh42OnGoKbSr\nxJfOiR7zWmzf4M+p4hYulLVhtEokRo//egylwG5vrtXp0fUMMN+u/bDZJH7/+jma2g1sWZFIevLE\nNAuXs2xuDDlFOuo7jCzMHr9x+WoN5v26IAi3I3v5ScBvRVH8YBLtuso4cRr4H0EQvAAfIIsxUiLN\nhmBeSZIoqGijf8DKG3uLudmumx8Mjhswy6623hrVmMFyD96YxbH8JlIifSccWLd5cQwlVe3klbby\ny7+dBiAyyNtxvq/ePp+vPXWMYruu31ejpKOjjyB/Lbp2g8t2+wcsdPT0o1YpqGrs4Tt/Osq37l2M\nv48Gq81GWV0XCRH+eHmpqGjopra+E28vFR/n1vPPQ+X4atUkhU98bEMDDucmBfMO8NJHsi7/H/tF\nKhu6SYzyZ+uKBDYtjOFwXiM5Rc3cvCaZ1z8po6FVj0atJCk6gOZ2A9ctjpuWAMah/bTZVwnNrb3j\nbstssfLrl3MZsNg4ebGJe6/tdqvsR02T7IBbWNmOTtfj0sGkulneN9hHPaFr4QVEh/pyTmyhsakL\njVqFrqOP0EBv2tr0Lo8N8ZNVoQVlLQRqR042j+fVA5ASJQt6Z/27dlEsn56p5cUPC8iI9h+xSs8r\nkVeTUUFat8a3IiuSC2Vt7D9ZPamyGOHh/hzMrUOlVGC1SfzjY5HoIK093VEZh8/Xkx4XxG3rUqbs\nGYwLlVeuu45WEuavIe2y7Blmi5Wj+U00tRu4a1M6GvWlZ2k2BvO6fNIFQVhi/70BaAXeAt4Guuyf\nTZR3AZM948TvgCcEQXhCEITtoijqkBPMHgM+Ab4riuKAi3PNCrr0A/QPyC+ivadqR6jBBv93x601\nKTqAz12fiWYSq0OVUskXbp6Dj1aNWCfPIhOjLpkRvb3UzE25pPaIsHvZhQZq6dKbaOuSUxIZTZYR\nKhRdh2zjWL8glo2LYqlr0fPbN86jN5ppajdgtthIjA4gIy4ISYLyhm5e3ify90/LCPT14ut3L3IZ\nADoekqICCB+iTsorb8NqkxzeZD5aNTeuTORHD61gqRDJ+gXybHz7mmS+e99Sfv/ltVek5IGvw3Fi\n/Oq+tw9V0tDWh7eXyl6fauzoD6vN5rCpGE0W6ltdC4pBgRYfMXFT86KMcAbMNs6XtWHoN2M0WV3a\nowYZfInuOVWL2TJS5VdY1YGXRkl63Oha/4hgH65fnkhHj4lX9ol064errMsbu1GrFCRGurdKWJQe\njlqlJLdkbFWpK4qrO2jr7md5diRpsYHklbdR3tDN+8eq+PRcPfERfnz1zgVu2wDdITLYh6VCBPWt\nen7+8lmHXdg0YGXf6Vr+65mTvLq/lE/P1o+wGc9GxlpJPYbsCv5jJ9sk4NqJNOpGxokXgBcmcu6Z\notlu+A3y96JbP8DeU7XcsfFSbrPxCKmpwkerZuOiWPbYVWwJlwX4LcmMcJSQGHzRhwV6U9HQw389\nc9Kxn1aj4r/vu5TAUmd/+UWH+Toi8w/lNfLbN86zcYnsUZQUFUCo3X7wzPsFGE1WEiP9+codrqPn\nx4tCoWDH+hTyytrw0ao5mt8EMGrMzbbVSSRHBzqcNq5UzNJEhVRhVQcf59YRE+bLretSeOb9QvIr\n2od5Zzqjrbsfi1XCS6NkwGyjrL7bZYBnTXMPAb6aScXHrZ4bzcdn6vjbnhI+tyUTcO00MUhSdACb\nlsRx8FwD7xyu5J7NGY5tJTWdNLUbWJAWNmzG74xtq5PILWnheEEzOUU6FqSFsWZeDNlJIdS36EmO\nDhjzHIP4aNXMTw3lfFkbR/MbWZgWPuLauIp50xvNvHWwnBN2Z45Vc6Lx9lLxy9fO8dTb+eiNZiKC\nvfn63Yvwm4J8e0NRKBQ8vmMeBVUdPPV2Ps/vKmb13CiOX2xGbzSj9VKxTIgg1x60vThjdic9dimk\nRFF81P5709DPBUEI9ATzDqfRbqT8zPpU3jtaySe5dWxZFu9Yxs6EkALYvDSe/Wfq0KiVw1YcIMdV\nKBUKlEqFwyC9bXUyft4aTGYrA2Yrrd391DT3UtnU43jJDXopRYf6olQouO8GAZPZyslCHbtOVAPy\ni2fQpd1osrI4I5xHb547pTPGQdbMi2HNvBgKqzrGFFIatYpFGVcu/mWQwRdRX7/7kRR6o5kXPipC\npVTw6M1ziQ71Ra1ScLGyfdgEyBmDRvMV2VEcy2+iqLpjWKqfAbOVQ+cb2HemjsyEYJrbDWRPMvt9\nQqQ/j94yl2feK+CFj+RckO6uUu/alE5RdSf7z9SxMC2M7ORQ9p6q5R8H5SJ/a+aNbVvx0ar5yX+s\n4HhBM4fON3C+rI3zZW1oNSqsNok0FysxZ6xfGMv5sjZe3F0CyBO51NhAUmMCqdb1klOo42t3Lhjh\nqp5b0sKr+0V6DGYSovy5flmCY1K0YWEMRy40EeTnxTfuWUyw/0hHkKlAoVAwPzWMOzam8eaBcvad\nrsNHq+aWtclctywBrUbJhYqjlNS4NPfPCtxNi7QdWA/8FDgDRAiC8KQoik+Pt0F7Rd9XgUhkJ4nP\ni6LYftk+7wFhyMG8RlEUt423nStNs/2lkBjlzy1rU3h5n8iuEzV8LUV+gGdKSIUGevPADQJKpWJE\nRgB/Hw03rUpErVE7tiVE+nP/DZfcXwurO/jd3/Po0V/SuA4KqUGXbaVCwa3rUzlZqKOjx4QCSIjw\nR+ulYuuqJLy9VGxdnTSpXGvuICQG4+2lQqGQV3mziUHvPoML78+hSJLEK/tEuvQD3LYhlaRoeYKQ\nlRhCQVUHB8/Vs8lFxo3B53FBahi1zb2O5LnhQd4cymtkd06NowTHqSI5bm0qApmXZ0XStjGNtw5V\nAO6tpEBerT968xx+/spZXthdzPfuX8auE9UE+Gr48m3z3Y4Z8tKo2LQ4jk2L46jV9XKioJmcwmZM\nZusw9bY7LEoP5/sPLKOgqp2Khh4qG2VPyaHekvkV7Q4h1a038er+Us6WtqJRK7lzUxqfu2kOHR2X\n3Ovv2pRBoJ+WVXOixhXIPlG2LE8gyN+LAB8v0uODhqnZ0+OCKK7ppMcwMKpL/mzAXe++J4H7gXuQ\nHRv+H3AIGLeQQlbz5Yui+BNBEO4GfgB87bJ9MkRRnDuBc88YTfYHMTrUl/gIf/aequVQXgP33pSN\nkktCKsD3yqdaWb9w9KDZ269Jc2ksHQw87RoS/6LrMKBSKggf8gKKDPYhOymE4ppOosN8HSumsWb8\nU8lgDjPJnmV7NjFedd/Fyg7OlLSQHh/E1lVJjs/vvjad2jfO88r+UgL9vFgqOPdKbLKrn2PC/bh5\nbTJPv1vA87uK6dKb6Ow1odWo2LY6icgQH8dKYapyFt64MpHTxS3U6HrHJfhSYgK5eW3S6Yt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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Ejemplo de descomposición de serie de tiempo\n", "descomposicion = sm.tsa.seasonal_decompose(wft['Adj Close'],\n", " model='additive', freq=30) \n", "fig = descomposicion.plot()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Pronosticando la serie con ARIMA\n", "\n", "Como podemos observar en los gráficos que realizamos anteriormente, el comportamiento de la [serie de tiempo](https://es.wikipedia.org/wiki/Serie_temporal) con la que estamos trabajando parece ser totalmente aleatorio y las medidas móviles que calculamos tampoco parecen ser de mucha utilidad para acercar la serie a un comportamiento [estacionario](https://es.wikipedia.org/wiki/Proceso_estacionario). De todas formas podemos intentar aplicar un modelo [ARIMA](https://es.wikipedia.org/wiki/Modelo_autorregresivo_integrado_de_media_m%C3%B3vil) sobre la serie y ver que tan bien nos va con el pronostico del modelo. El modelo [ARIMA](https://es.wikipedia.org/wiki/Modelo_autorregresivo_integrado_de_media_m%C3%B3vil) es similar a una [regresión estadística](https://es.wikipedia.org/wiki/An%C3%A1lisis_de_la_regresi%C3%B3n) pero aplicando los conceptos de las [series de tiempo](https://es.wikipedia.org/wiki/Serie_temporal); por tanto, los pronósticos del modelo vienen explicadas por los datos del pasado y no por variables independientes." ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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oGBWpiRJCNA/fgyhNUbFsm6AWkjdWsWi+94uD/PS3R5blWvlihROjebasSRCP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RoqhqpjaMeq0nysEA8gjpSooz47TzaphKpYT7JG5iB3Z1sYKKTxgzD2A0nIuZad4GCUKKlStF2b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\nJg4m/6qke3LfIEmvdGrMPSXdMy+l5rCKpJNzshyP/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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Modelo ARIMA sobre el valor de cierre de la acción.\n", "modelo = sm.tsa.ARIMA(wft['Adj Close'].iloc[1:], order=(1, 0, 0)) \n", "resultados = modelo.fit(disp=-1) \n", "wft['pronostico'] = resultados.fittedvalues \n", "plot = wft[['Adj Close', 'pronostico']].plot(figsize=(10, 8)) " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Aquí el modelo parece ser bastante efectivo, las líneas en el gráfico son muy similares. Pero para armar el modelo hemos utilizado el valor de cierre de la acción, y la variación de precio en el día a día es muy pequeña en comparación al precio absoluto. Lo que realmente nos interesa predecir es la variación diaria del precio de la acción, por lo tanto deberíamos armar el modelo utilizando la columna de variación diaria que calculamos previamente." ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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LNc0n8XAFKVxWStHycFFKkVgIeIWrGQ9X1U6nz/gCroPj85AlAcODWfJwxcCv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\npin9sABU4L4XwK3IjJJStAI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563PrGedN0/Tce+y7X7sihxf2T+M7P3+mZU0u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\ntXA96ozDOf+RJ/D4B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FyZElwQAuf3jk2yf2yaw7YsrDPQcNlKVe1S/O1texibmOH0Extn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\nL7j7l4D3AqOJJbwTSFl1nwicBZwen/8CuB/Bugchh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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# modelo ARIMA sobre variación diaria\n", "modelo = sm.tsa.ARIMA(wft['var_diaria'].iloc[1:], order=(1, 0, 0)) \n", "resultados = modelo.fit(disp=-1) \n", "wft['pronostico'] = resultados.fittedvalues \n", "plot = wft[['var_diaria', 'pronostico']].plot(figsize=(10, 8)) " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "En este gráfico podemos ver que es bastante obvio que el pronóstico esta muy lejos. Nuestro modelo predice variaciones muy pequeñas en comparación con lo que ocurre en la realidad del día a día. Este era un resultado esperado ya que solo aplicamos un modelo sencillo de [promedios móviles](https://es.wikipedia.org/wiki/Modelo_autorregresivo_integrado_de_media_m%C3%B3vil) a una serie no [estacionaria](https://es.wikipedia.org/wiki/Proceso_estacionario); después de todo, si fuera tan fácil predecir el movimiento del mercado, todos seríamos millonarios!. No hay suficiente información en los días anteriores para poder predecir con exactitud lo que va a pasar al día siguiente." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Aquí concluye este paseo por el mundo de las [series de tiempo](https://es.wikipedia.org/wiki/Serie_temporal); como vimos, [Pandas](http://pandas.pydata.org/) y [Statsmodels](http://statsmodels.sourceforge.net/stable/tsa.html) pueden ser de mucha ayuda para trabajar con ellas. Espero que lo hayan encontrado útil.\n", "\n", "Saludos!\n", "\n", "*Este post fue escrito utilizando IPython notebook. Pueden descargar este [notebook](https://github.com/relopezbriega/relopezbriega.github.io/blob/master/downloads/TimeSeriePy.ipynb) o ver su version estática en [nbviewer](http://nbviewer.ipython.org/github/relopezbriega/relopezbriega.github.io/blob/master/downloads/TimeSeriePy.ipynb).*" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.5.2" } }, "nbformat": 4, "nbformat_minor": 0 }