https://blog.csdn.net/orDream/article/details/100013682
上面这一篇是对
https://www.analyticsvidhya.com/blog/2016/02/time-series-forecasting-codes-python/
的翻译,但是版本已经过低部分代码已经失效,该博主对博文内容也不完全且有错误,在此对其python的部分做了更正和补充。
具体的错误可以查看https://www.cnblogs.com/xingnie/p/12248732.html
 
#加载和处理时间序列

2
import pandas as pd
import numpy as np
import matplotlib.pylab as plt
%matplotlib inline
from matplotlib.pylab import rcParams
rcParams['figure.figsize'] = 15, 6
 
No output

3
data = pd.read_csv('AirPassengers.csv')
print(data.head(n = 10))
# 默认 n为5)
print('\n Data Types:')
print(data.dtypes)
 
     Month  #Passengers
0 1949-01 112
1 1949-02 118
2 1949-03 132
3 1949-04 129
4 1949-05 121
5 1949-06 135
6 1949-07 148
7 1949-08 148
8 1949-09 136
9 1949-10 119 Data Types:
Month object
#Passengers int64
dtype: object

5
#数据类型是“object”和“int”,所以它仍然不是作为TS对象读取的。
#为了将数据读取为时间序列,我们必须将特殊参数传递给read_csv命令:
dateparse = lambda dates: pd.datetime.strptime(dates, '%Y-%m')
data = pd.read_csv('AirPassengers.csv', parse_dates=['Month'], index_col='Month',date_parser=dateparse)
print(data.head()) #parse_dates:指定包含日期-时间信息的列。正如我们上面所说,列名是’ Month '。
#index_col:将panda用于TS数据背后的一个关键思想是,索引必须是描述日期-时间信息的变量。所以这个参数告诉熊猫使用“Month”列作为索引。
#date_parser:指定一个函数,该函数将输入字符串转换为datetime变量。默认情况下,熊猫读取的数据格式为“YYYY-MM-DD HH:MM:SS”。如果数据不是这种格式,则必须手动定义格式。类似于这里定义的dataparse函数可以用于此目的。
 
            #Passengers
Month
1949-01-01 112
1949-02-01 118
1949-03-01 132
1949-04-01 129
1949-05-01 121

6
#可以看到数据的索引是time对象,列是#passenger。我们可以用以下命令交叉检查索引的数据类型
data.index
6
DatetimeIndex(['1949-01-01', '1949-02-01', '1949-03-01', '1949-04-01',
'1949-05-01', '1949-06-01', '1949-07-01', '1949-08-01',
'1949-09-01', '1949-10-01',
...
'1960-03-01', '1960-04-01', '1960-05-01', '1960-06-01',
'1960-07-01', '1960-08-01', '1960-09-01', '1960-10-01',
'1960-11-01', '1960-12-01'],
dtype='datetime64[ns]', name='Month', length=144, freq=None)

7
#dtype= 'datetime[ns] ’ 确认它是一个datetime对象。作为个人偏好,我将把列转换成一个Series对象,以防止每次使用TS时引用列名。
ts = data['#Passengers']
ts.head(10)
7
Month
1949-01-01 112
1949-02-01 118
1949-03-01 132
1949-04-01 129
1949-05-01 121
1949-06-01 135
1949-07-01 148
1949-08-01 148
1949-09-01 136
1949-10-01 119
Name: #Passengers, dtype: int64

 
# 如何选择选择Series对象中的一个特定值

8
#1. Specific the index as a string constant:
ts['1949-01-01'] #2. Import the datetime library and use 'datetime' function:
from datetime import datetime
ts[datetime(1949,1,1)]
8
112

9
#假设我们想要到1949年5月为止的所有数据。这可以通过两种方式实现:
#1. Specify the entire range:
ts['1949-01-01':'1949-05-01'] #2. Use ':' if one of the indices is at ends:
ts[:'1949-05-01'] #与数字索引不同,这里 包含了结束索引。例如,如果我们将列表索引为[:5],那么它将返回索引处的值-[0,1,2,3,4]。但是这里的输出中包含索引 ‘1949-05-01’。
#索引必须按照范围排序。如果随机打乱索引,这将不起作用
9
Month
1949-01-01 112
1949-02-01 118
1949-03-01 132
1949-04-01 129
1949-05-01 121
Name: #Passengers, dtype: int64

10
#1949年所有值的例子。可以这样做:

ts['1949']
10
Month
1949-01-01 112
1949-02-01 118
1949-03-01 132
1949-04-01 129
1949-05-01 121
1949-06-01 135
1949-07-01 148
1949-08-01 148
1949-09-01 136
1949-10-01 119
1949-11-01 104
1949-12-01 118
Name: #Passengers, dtype: int64

 
# 检查时间序列平稳性
#常数平均值
#常数方差
#不依赖于时间的自协方差。

11
#简单地绘制数据图并进行可视化分析。数据可以使用以下命令绘制:
plt.plot(ts)
 
/Users/christopher/opt/anaconda3/lib/python3.7/site-packages/pandas/plotting/_matplotlib/converter.py:103: FutureWarning: Using an implicitly registered datetime converter for a matplotlib plotting method. The converter was registered by pandas on import. Future versions of pandas will require you to explicitly register matplotlib converters.

To register the converters:
>>> from pandas.plotting import register_matplotlib_converters
>>> register_matplotlib_converters()
warnings.warn(msg, FutureWarning)
11
[<matplotlib.lines.Line2D at 0x10db131d0>]
 
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" alt="">

 
很明显,数据中有一个总的 增长趋势,同时也有一些季节变化。然而,可能并不总是能够做出这样的视觉推断(我们稍后将看到这样的情况)。因此,更正式地说,我们可以使用以下方法检查平稳性:

绘制滚动统计:我们可以绘制移动平均或移动方差,看看它是否随时间而变化。我说的移动平均/方差是指在任何时刻t,我们取去年的平均/方差,即过去12个月。但这更像是一种视觉技巧。
Dickey-Fuller检验:这是检验平稳性的统计检验之一。这里零假设是 TS 是非平稳的。测试结果由 测试统计数据 和一些不同置信水平的临界值组成。如果“检验统计量”小于“临界值”,我们可以拒绝零假设,认为序列是平稳的。详情请参阅本文。
在这一点上,这些概念听起来可能不是很直观。我建议阅读前传的文章(查阅相关资料进一步深入理解)。如果你对一些理论统计学感兴趣,你可以参考Brockwell和Davis的 时间序列导论和预测。这本书的统计数据有点多,但如果你有阅读字里行间的技巧,你就能理解其中的概念,并间接地接触到统计数据。

14
#回到检查平稳性,我们将经常使用滚动统计图和Dickey-Fuller测试结果,所以我定义了一个函数,它接受TS作为输入并为我们生成它们。请注意,我画的是标准差而不是方差来保持单位接近均值。

from statsmodels.tsa.stattools import adfuller
def test_stationarity(timeseries): #Determing rolling statistics
rolmean = timeseries.rolling(12).mean()
rolstd = timeseries.rolling(12).std() #Plot rolling statistics:
orig = plt.plot(timeseries, color='blue',label='Original')
mean = plt.plot(rolmean, color='red', label='Rolling Mean')
std = plt.plot(rolstd, color='black', label = 'Rolling Std')
plt.legend(loc='best')
plt.title('Rolling Mean & Standard Deviation')
plt.show(block=False) #Perform Dickey-Fuller test:
print('Results of Dickey-Fuller Test:')
dftest = adfuller(timeseries, autolag='AIC')
dfoutput = pd.Series(dftest[0:4], index=['Test Statistic','p-value','#Lags Used','Number of Observations Used'])
for key,value in dftest[4].items():
dfoutput['Critical Value (%s)'%key] = value
print(dfoutput)
test_stationarity(ts)
 
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" alt="">
 
Results of Dickey-Fuller Test:
Test Statistic 0.815369
p-value 0.991880
#Lags Used 13.000000
Number of Observations Used 130.000000
Critical Value (1%) -3.481682
Critical Value (5%) -2.884042
Critical Value (10%) -2.578770
dtype: float64

 
虽然标准差的变化很小,但均值明显随时间增加,这不是一个平稳序列。此外,测试统计量远远超过临界值。注意,应该比较带符号的值,而不是绝对值。

 
4. 如何使时间序列平稳?

虽然在许多TS模型中采用了平稳性假设,但几乎没有一个实际的时间序列是平稳的。统计学家已经找到了使序列平稳的方法,我们现在就来讨论。实际上,让一个级数完全静止几乎是不可能的,但我们试着让它尽可能地接近。

让我们来理解是什么使TS非平稳。TS不稳定的主要原因有两个:

随时间变化的趋势平均值。例如,在这个例子中,我们看到平均来说,乘客的数量随着时间在增长。
季节性——特定时间段的变化。由于工资的增加或节日的缘故,人们在特定的月份可能会有买车的倾向。
其基本原理是对序列中的趋势和季节性进行建模或估计,并将其从序列中去除,得到一个平稳序列。在此基础上,应用统计预测技术对该系列产品进行预测。最后一步是通过应用趋势和季节约束将预测值转换为原始规模。注意:我将讨论一些方法。有些可能在这种情况下工作得很好,而另一些则不然。但我们的想法是掌握所有的方法,而不是只关注手头的问题。让我们从趋势部分开始。

15
#估计和消除趋势

#减少趋势的首要技巧之一是转变。
#例如,在这种情况下,我们可以清楚地看到,有一个显著的积极趋势。
#所以我们可以用变换来惩罚更大的值而不是更小的值。可以取对数,平方根,立方根,等等。为了简单起见,我们在这里做一个对数变换:
ts_log = np.log(ts)
plt.plot(ts_log)
15
[<matplotlib.lines.Line2D at 0x1c23295710>]
 
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5RwFoj9pWeCe7cXevo2NZKHx3D/kVljn/7yAk6RgK8+Ypa2ganOTvs5xdtw3jcLq5rWfnYNVpL/7Pjg2ytLsKTszrZdCdn3QwMAf8mIi+LyFdFZOmCiJuArri/d9vbkm1XSmXR0d5Jbt9ezQ2tFfzBdw9ybiR7ZY99EzPk5bgoS9AmuLncm5Xv1T9p/daQsOrGl37q5r4D3bz73me570A3Dx/pB+BNu5wF+s1VPmbmwvTaHz4dw37+7RcdfOimZj515w4AfnZ8gKfbhrmmufS8ctB0RD88B6dmVy0/D84CfQ5wDfBlY8zVgB/45JL3JKoHMstsP4+I3C0i+0Vk/9DQkIPLUkqBtSB199gM17aU8em37CBiiOV8s6F3Ikh9aUHCsr/G8gK6x2YynuQTHdEnCvQ1xfnkuCSt3xy6x6wPjj+9/xW+8dw5ttcW0VKZfMHueNvsFsbRCVaH7bVd77q+icZyL9tri7jvQDdHeyd5dYqcfyrxvyWl20IhHU4CfTfQbYx53v77fViBf+l7GuP+3gD0LrP9PMaYfcaYvcaYvVVVK895KXWpOdpnBaJd9SUrbsy1nL7xmYQpFYCGMi+z8xGGMqxzH5gIUpyfk3B07Mlx0VzhpW0wcSVMIv0TQaqK8ij3eegYCXDn7jrHx0ZLME/bgf5U/xRul8Rq7F+/o4YTdh/5VA93U6nweWLpmuhiJKshZaA3xvQDXSISXTblduDYkrc9CHzQrr65EZgwxvQBjwB3iEiZ/RD2DnubUipLjtmj9131xfjycqgtzqd9KJupm2DCahggtjZqdAS9Gt8DYGt1YVqBfmAySGuFj3vffy3Xt5bzK9c4zxiXej1UFeXFeuOcGpiipcIb62Xz+p3WilBF+TlcsYIZsfFcLqHe/hBdzdSN0+TS7wDfFBEP0A58RETuATDG3Av8GHgz0AYEgI/Y+0ZF5LPAi/Z5/sIYM5rF61fqkne0d5Ka4rxY7/bWSl/SOvB0zYcjDEwGqS9NPqIH6Bmb4ZqmlT+UtGrok6+durW6kJ8dH2QuHHFUsz4wGWT3phL2NJby3d+4KeX7l7qspjA2oj89OM322oW0ypWbSqgryefqplJHq0mlUl9awOx8JK1FS9LlKNAbYw4Ce5dsvjduvwE+nuTYrwFfW+kFKqWWd7R3gl31CyPL1iofD73Sl5VzD0zNEjEkHW1vyuKIfkdt8hHt1upC5iOGcyP+hMsAxjPGMDA5y+t3rHzR7W3VRXx3fxczoTAdI37euqc+ts/lEr53z034MngIG+/333AZU0FnvXVWShcHV2odC86FOTPk541xFSWbK32MBeYY84co82U2SuyzG27VJRnRF+blUObNpXts5SWWc+EIw9Ozy4/oq6zgfnpgOmWgn5qdZ2YuTE2CmnynttUUEgiFeer0EMacv5h49DeZbLiupTxr50pGWyAotY6d6J8iHDGxPvFgpW6A8yb9rES0xLB+mfx5Q5k3oxH94NQsxiSuoY/aUm3dk5M8/YB9zdXF57dTcCraKuGHh63fjC5P0TphrdNAr9Q6tvAgNi51U5m9yptUI3qwHshmMqLvn0heQx/l9eSwqbSAtiEHgX7SqgBKNMvWqcvs3xp+enyAXLc4Ls1cqzTQK7WOneyfpCgvJ1b9AtBY7l22MVc6+iaCFOblULxMD3cr0K+8ln5hVuzy7Qm2OKy86Z+0zpdJ6qbEm0t1UR6BUJjWSt+Km5atFev76pW6xHWNzdBY7l00mSnX7aKp3JuVEX3vMjX0UdFa+pW2El6uz028rVWFnBmaJhJZ/gNlIAuBHhbSN6l62K8HGuiVWmWnB6aYC0dW5dw9YzOxypd41pJ4WUjdTASpS9EIbKGWfmXpm/6JIAW5booLlq8N2VpdSHAuknKN1YFJa/JVgSe9NVyXivaYX+/5edBAr9SqGvOHuPMLT/Glx9qyfm5jDD3jM7HGWPFaK310jPhTjn5T6ZuYiU3oSSZageL0gew/P9HGC2cXptN0jASoK8lPubJStLNjsjx9NHU0MBnMeDQPC60QUi1Wsh5ooFdqFXWM+JmPGL79QmfWR/WTM/NMz84nDvRVPoJzEfrsNMZKzM6HGZ4Opcydp1NLPzsf5vOPnOST/3OYcMTQNzHDEycHuW17dcpjo4H+TII8/T8/0cZrP/8EofkI/ZPLl2o6ddv2Kl5nN4pb7zTQK7WKuuzgNzg1G1v8Ilu6x61USbLUDcDZNNI3z7QN87H/eJEJe2Hs6IIjy1XcQHq19F2jMxgD7UN+fni4l3//RQcG+MjNLSmPLfd5KPXmJnz28MDLPXSOBnjsxCCDk0GqizIP9HUlBXztw9dlPBdhLdBAr9Qqiq6nWlOcxzeeO5fVc/fYHyLJUjdg/Ubh1OMnB/np8UHu+cYBpoJzfPqBI7gER/1cNtmVN6l0jlrXU5iXwxd+eppvPd/JnbtrHU9Aair3ntfFsms0EOtL818vdjI4NZtwScJLmQZ6pVZR91iACp+HD97UwjNnRjjjoA7cqehDyUQj+pqifHLdQlcaD0j7J2fJy3HxbPsIt37+CZ5uG+bz79rjaHm7hlKvoxF9dNnBT7zpctqH/UzNzvPrr9ns+Bqbyr3nLUb+2IlBAN58RS2PnxwiHDFZydFvJBrolVpFXaMzNJR7ec91jeS6he/u70p9kEO94zPk57piC3PEc7mETaUFdI86n7E6MBFkT2Mp//cbLmPEH+Kzb9/NO69tcHRstJY+1cPfcyMBvB4377uhmR11xbxqSwV7GksdX2NTuTULNxz3fX52YpDNVT7+8I7LY9uykbrZSLTXjVKrqGsswBWbSqgszOOKTSW83Ll0Fc6V6xmfSbogCFgTp9IpeeyfDHJVYym/c/s23n9jc1q56eZKH7PzEfong8uuy9o5GqCp3IvbJdx3z024UlTaLNVU7mU+Yugdt+YP+Gfnee7MCB96VTObqwq5rqWMFzvGsvIwdiPREb1SqyQcF5AAdtQVc7xvMuPVmKJ6xhKXVkY1lHljD4NTMcYsahWc7gPILdH+Okse/h7tneD3vvMyJ/qtVg3nRvw0V1j/PXx56de6N9n/LaPpm6fbhgmFI7xuu9Uj/sOvasXrcdNSkb2mYxuBBnqlVkn/ZJC5sKGxbCHQTwXnU074capnfGZR64OlGssLGPWH8M/OpzzXeGCO0HxkxbntzVVW6WO73XYhHDH8+YNHees/Ps0DB63qmkjE0DU2Q3PFyvvGNNkBPPpA9rHjgxTl57DXXqD7l66s49Cf3bGqvd3XIw30Sq2S6KizsdwKxtGHmsf7pjI+d3DOqnFPNaIHZ/Xt0f4wK20EVlOch8/jjo3of35qkH9/poN3X9vIay+r4vGTg/RNBgnNR2Kj8pWoKylYtH7s82dHuGlzxaJeNOu9L81q0P8iSq2SWKC3A+722iJEFjpOZmK5ipuoRnvf0iqVRGKBfoVliSJCa5UvVlV0uHsCEfjMW3fylivrGJic5eEj/QCx1M1KuF1CQ1kB50YDDE3N0jESiI3mVXIa6JVaJV1jM4gQezjpy8uhpcLH8b4sBPpYDX3yoBl9NuCkxDLawz2TssTNlYWxyUxHeibZXOnDl5fDrZdbs16//mwHAM3lmbX8bbRLLF/qHAPg2mYN9KlooFdqlXSPBqgrzseTs/BjtqOuiOP9F2ZEX+HzUJDrpstBiWV0RJ9JWeLmKh894zME58Ic7Z1gtz3Rqqoojz0NJZwbCZDjkqTrzzrVXGFNmnrp3Bget2tRL36VmKNALyIdIvKKiBwUkf0J9v+Rve+giBwRkbCIlDs5VqmNqmssQMOSfPSO2mLOjQSYdvCAdDk9YzO4XUJNUfJUi4g4XhRkYDJIZaFn0YdSujZXFWIMHDg3Rt9EkN1xATg6qt9UVpDxgtpN5V7GA3M8fnKQ3ZuKyc/NrEvlpSCd/+K3GWOuMsYsXSQcY8zn7X1XAZ8Cfm6MGXVyrFIbVdfoTCw/HxV9IHsyw1F9z/gMtcX5KYNmY7mzEsv+icw7Pm62SywfPNgLEBvRA7zOblqWyYPYqOg5Tg1Ma9rGodVI3bwX+PYqnFepdSM4F2ZgKhiruInaYa/teiyNyptwxPBLX3yKj3/zJQangvzocB8PHelje23qPumNZQV0jwYS1u77Z+djD2r7J2czWnoPrNQNwENHrHVWd8atY3vFphJaKrzsaXA+CzaZxrgPCw30zjidGWuAn4iIAb5ijNmX6E0i4gXeBPx2uscqtZH0jFtdGpeO6OtL8inOz0mr8qZ/MsjR3kmO9k7y81NDTM/Oc21zGX/zritTHttY7mVqdp6JmblFteXz4Qj/66vPc3Zommc+dTsDk0GubsosCHs9OdSV5NM3EaS5wktJwcLygy6X8PDv3ZKV0sf43wqu0UDviNNAf7MxpldEqoFHReSEMebJBO97K/CLJWkbR8eKyN3A3QBNTU1p3oZSa0t0pNy0pJRQRNhRV5xW6uac3YHyL962i0ePDdBQ5uXPf3kneTmpc9MNcb3i4wP9V55s51CX1Y7h2893MuoPZTyiB2tUvzQ/H5WtXHpRfi7lPg+FeTna08YhRx+vxphe+89B4H7g+iRvvYslaRunxxpj9hlj9hpj9lZVVTm7eqXWqGhefOmIHqyHlums59ppd3y87fJq/vOjN/DXv3KFoyAPC5Om4mvpj/VO8g8/PcVbrqxjT2Mp//SEtfpVVgJ9pTVDdreD1saZuGNnDe+4etOqfo+NJGWgFxGfiBRFXwN3AEcSvK8EeC3w/XSPVWqj6R4N4MlxUZ2gKmZzpY+xwBzjAWeLaXeOWmWJqRbpTiSaz47v4f65h09QUpDLZ9+2m1+7uYVxe6GRmiw0Aovm6XdvSt3aOBOfe+eV/P4bLlvV77GROBnR1wBPi8gh4AXgR8aYh0XkHhG5J+597wB+Yozxpzo2WxevVCZe7Bjlq0+1r8q5u8YCNJQW4HKd352xJbr6k8NR/bnRAA0rLEssKcilstCzqA/+0Z4JXr+jhjKfhzt318U+jLIxon/Dzhp+5ZpN7G0uz/hcKntS5uiNMe3AngTb713y938H/t3JsUqtBf/+TAc/OtxHY7mXN+6qzeq5o33oE4lf/enqptQPEztHAjRl0AhsS1UhbfY6q2P+ECP+UGz9VU+Oiw/f3MIXfno644lMYKWK/v5Xr8r4PCq7dGasumRFH3L+7weOMDEzl9Vzd40FYr1mlmoq9+IS5+u5nhvx01S+/ALdy9lWYwV6Y0ysu+QWu9skwD23bOHJT9xGUX5uslOodU4DvbokGWM4Nxzg+tZyRvwh/vrHx7N27qngHOOBuUX13vE8OS4ayrycHUk9Y3U8EGIyOJ9Rf5itVYVMBucZmprlzKD14RIf6F0u0aX3NjgN9OqSNOoPMTU7z527a/nIq1r4zotdDE3NZuXc0d4yiSpuoloqfZwdTr1+bGeSMs10bK22Jla1DU5zZmgaT45r2R45auPRQK8uSR122qalwsdrL7fKeU8PZt4nHha6RS6dFRtvc6WPjuHEM1bjRRfTzqS177Yaa/TeNmQF+s2VPtwJHhKrjUsDvbokdQwvBNDog8kzDnPmqSztQ59IS4WX6dl5hqeXL7GMjegz6BFTXZRHUV4OpwemOTPkX5S2UZcGDfTqknRuxI9LrCqR2uJ8fB43ZwZTp1Kc6B6boTAvh1Jv8oeby5VYHu+b5K59z/JS5xjnRvxUFeXh9TidxH4+EWFLdSHH+ibpHA2wpSqzfvBq/dFAry5JHSMBNpUV4MlxxQJhfK15JrrsuneR5OmR6AzSjiWBvnMkwAe/9gLPtY/ym984wOHuCZqz0PFxW3UhL3eOEY4YtlTriP5So4FeXZLOjfhpiatNj681z1TXWCBpxU1UfWk+uW6hPS7Qj/pDfOBrzzMXjvCP772aiZk5TvRPZfQgNmprdSER+3GApm4uPRro1SWpYySw6AHn1upC+iaCGS8IYoxJ2Id+qRy3i6Zy76IR/UNH+jg3EuAr77+Wt+6p53O/YnWnjPZ5z8TWuFF8axbOp9aXlSf+lLoA5sIRclyybBokXeOBEBMzc+eN6AHah6a5MoOe6cPTIWbmwo4mOLVW+hbl6HvGZshxCXtbrPYBb796E9VFeVlZKi8a6GXDeN4AACAASURBVOtL8vHl6Y/9pUZH9GrNGpme5TV/8zj7nsxuP5pocI0P9FurrdeZpG+MMRyzF/5OlboBaK7w0Rm3KEjP+Ax1pfmLSh9ftbWSkmUe6jrVUOYlL8el+flLlH60qzXrz39wjP7JIAftvunZEq1Nb6lcCMbNFT5yXJL2A1ljDAfOjfG9/d389PgAI36rXNJJHry5wsvMXJihqVmqi/PpHZ+hvmR1JjK5XcKvvbrV0apUauPRQK/WpEeO9vODQ7143K60erc70THiR2ShVztArttFU4U37RH9vifb+euHTuD1uLljZw3XNJdxTVNZrHxyOfEthKuL8+kZm+HGLRXp3Uwa/vhN21ft3Gpt00Cv1pyZUJhPP3CEnXXF7G0p43v7uzHGZC1Pf24kQH1JwXkrHm2tKkx70tSz7SNsrS7k+x+/Oe3cd7Rs8txIgKsaS+mfDLKpVFsTqOzTHL1acw6cG2NoapY/euPlbKsuZGYuzGCW+tAAnBmaTlh5srW6kI5hP3PhiONzdY4G2FZduKIHnA1lXkSsfvMDU7NEDNRroFerQAO9WnP2nxvFJbC3pYxm+4Hp0olFKxWJGNoGpxeVG0ZtqSpkPmJiOXwn5+oem3H04DURT46L+pICukYD9NhLD+qIXq0GDfRqzTlwbozLa4spys9dtEhHNvRNBgmEwrFGX/EWet44y9MPTc8Smo8k7TvvRFO5l3MjfnrHrUCvI3q1GjTQqzUlHDG83DnOtc1WLXtdiTWDtMPhKDuV0wNWh8qtCapiouudOn0gG21elmwlKSeayr10jgboGdcRvVo9GujVmnKyf4rp2fnYmqM5bheNZd6spW6iQXxbzfllhkX5udQW5zse0Wejs2RThZfh6RCnB6Yo93ko8LhTH6RUmhwFehHpEJFXROSgiOxPsP9WEZmw9x8Ukc/E7XuTiJwUkTYR+WQ2L15tPAc6xwC4tnlhLdWWSl/WRvRtg9NU+DyU+zwJ92+tLnTcxTK6wEgmo/BoG4bn2kezsmarUomkUypwmzFmeJn9Txlj3hK/QUTcwD8BbwC6gRdF5EFjzLH0L1VdCg50jFJdlEdDXN67ucLLc+0jWSmxPD04vezs0C1VPv77pR5H36trLEBNcd55ZZrpiP420D8ZZE9j5q0OlEpktVM31wNtxph2Y0wI+A7wtlX+nmod239ujGubyxYF2dZKH4FQOOOl/owxnB6YYtsygX5rdSHTs/MMTKb+Xp2jgZTNy1KJXwtWH8Sq1eI00BvgJyJyQETuTvKem0TkkIg8JCK77G2bgK6493Tb284jIneLyH4R2T80NOTwstTFEokYxgPLr46UroHJIN1jM4vSNsBCiWWG6Zuh6Vkmg/PLBvpo64JkD2RnQmH8dofL7tFARvl5gBJvLiUFVi8bfRCrVovTQH+zMeYa4E7g4yJyy5L9LwHNxpg9wD8CD9jbE/3um3CRTGPMPmPMXmPM3qqqKoeXpS6WL//8DLf87ePMzoezds4nTg4CcOPmxW0AWuw8dqYPZNsGrOAdXSw7kVQllr/xjQP86leeJTgXpm8ymFHFTVT0w0IDvVotjgK9MabX/nMQuB8rJRO/f9IYM22//jGQKyKVWCP4xri3NgC9WbhudRGFI4ZvPHeOyeB8bKJPNvzolX6ayr3sqi9etH1TaQE5Lsm4lv50rOIm+Yi+qiiPovychCP63vEZnjw1xNHeSfY92Y4xZFRDHxVdWGRTFs6lVCIpA72I+ESkKPoauAM4suQ9tWInVUXkevu8I8CLwDYRaRURD3AX8GB2b0FdaE+dHqJvIggslBimo3sswMNH+ugZn4m16B0PhHimbZg3X1F33kPQHLeLxnJvxoG+bXCaovwcqovykr5HRNhSlXhZwQcPWWOUTaUFfOmxNiCz0sqo6DnqVqlzpVJOqm5qgPvtH74c4FvGmIdF5B4AY8y9wLuA3xSReWAGuMtYP8HzIvLbwCOAG/iaMeboKtyHuoC+t7+bglw3M3Ph2KShdPzNwyf5gR00t9cW8e1fv5FHjw8wHzG8+YrahMdsrvRxZtB5oPfPzvPue5/lU2/ezmu2WanA04NTbK0uTFlNs7W6kCdPnf+c6IGXe7iqsZTfunULd//nAcBZ3/lU3rO3kTJvLpWFiUs+lcpUyhG9XTGzx/7aZYz5K3v7vXaQxxjzJXvfHmPMjcaYZ+KO/7Ex5jJjzJbosWr9GvWH+Mmxfu66vpG8HJfjvjDxesdn2FVfzKd/aQdnhqb5o/sO8aPDfTSUFXDFpsQlhltrCmkfnmbeYcOxjhE/x/om+cz3jxKaj9A2OM1L58bZ42D1qC1VhQxOzTIZnIttO9k/xYn+Kd5+VT1v2FnDnoYSPG4XNcWZ1763VPq4+5YtWV1FS6l42qZYpeX+l3uYCxvuuq6Jp08Pryh1MzQ1y9VNpXzsNZtxifAXP7SmVfzGLZuTBrtt1UXMhQ3nRgOOFvUY81tB+uywn68/28GjxwYo8Lj57ddtTXls7IHs4DRXN1kVQA8c7MHtEt6ypx4R4R/uupqT/VOLVoNSaq3SFggqLf/zUjdXNpRweW0RzRXetAO9McZaUcnOk3/k5hZu314NwJ1X1CU9LloS6bQPzahd+tla6eNzD53g+bOjfOrO7VQWJs/PR21J0PPmoVf6uHlrZez41kofb9qdOM2k1FqjgV451jY4xdHeSd5+lTUVotFuyBV9oOrE9Ow8M3NhquxAb42Or+IrH7iWPQ3JZ4ZuSTfQT1sTnv7qHbuJGMN1LWX86t7GFEdZmsq9eNyu2CIkgdA8HSMBrltS36/UeqGpG+XY9w/24hJ4yx5r5N1U7iUQCjPiDzkaKQOx2a3VRQu57aL8XN64a/nRcWFeDptKC2LdJ1MZDcwhAje0VvA/v3UzLRVeXA7TLDluFy2VC8sKttsBXxfWVuuVjuiVI8YYvn+wl5u3VsaCdFPcmqdORVeKqlqmxDGZrdWFsVr4VMb8IUoLcnG7hKsaSyn1plfREl9iGf0z0WIlSq0HGuiVIy91jtM5GuBtVy10sIh2XuxMo/JmKMNAf2ZomkgkdapoNBCiLEmHSqffq3M0wOx8mDOD07hk4X6VWm800CtHHjzYQ16Oizfuqoltayhb+Yh+uUlLyWyrLiQ4F4kt0rGc0ekQ5WmO4uNtqSokbC8r2DY0TVO5l7wc7RWv1icN9MqRlzrHub61nKL83Ni2/Fw3NcV5aQX6oalZPG5XrJFXOqKtC04Pps7TjwVCSXvOOxFfYnlm0K9pG7WuaaBXjvRNzCzqER/VXO5LO9BXFeWtaHLQ1iqrGdnpgdR5+lF/ZoE+uqzgyYEpzg77HdXuK7VWaaBXKc3OhxmeDiXsxdJY7k0rRz84FaRyBWkbsFr6VhflpXwga4xhLMMcvddjVfk8cXKIUDiigV6taxroVUoDE1Zevbbk/On+TeVe+ieDBOectSsempqlymEpZiJOKm+mZueZCxsqMgj0YJVTHuwat1/7UrxbqbVLA71KqXfCevhZn2BE31RhbXPa3Gxoapbq4pUH+uYKLz1jy3+vMb81K7Ysg4exsDBD1nqtI3q1fmmgVyn12YG+LsHi1TvqrN7xR3snU55nLhxhNBDKaETfUOZleDrETCj5bxAjdqDPJEcPCw9kKws9adfhK7WWaKBXKUV7z9clSN1srSqkINcdS3EsZ2Q6hDErq6GPij4Q7hlfPKoPRwwn+q0Pm7FsBXp7FL9ZR/NqndNAr1LqGw9SUpCL13N+x4wct4srNpVwqDt1oB/KoIY+KrrcXnfcylbD07N86Gsv8KZ/eIpnzgwzmqVAH215oKWVar3TQK9S6puYSTiaj9rTWMLR3klC88v3ih+csn4zyGxEb03Sigb69qFp3vyFp3ixYxS3S/hF2zBjdufKTKpuACp8Hj726lbeeU3C9eyVWjc00G8Qwbkwf/+Tk/zlD4/x1w8dj+XVs6FvIpgi0JcSmo9wsn/5iUyxEX0Gi3VUF+WR65bY7NgHDvYyPD3L/b91M7s3lfDi2TFG/CE8bhc+T2YzWUWET79lJ9c2l2d0HqUuNu1euUE8eWqILz7WFlvizy3CJ960PSvn7psIsqcx+cpM0VWbDnaPc8UyrYajgT6TJfNcLqG+tCA2oj/VP0VLhY+d9cVc31LGfzxzjrrSfMp9Hl2xSSmboxG9iHSIyCsiclBE9ifY/z4ROWx/PSMie5weq7LjlN2+d/+nX881TaU81z6SlfMG58KM+kPULzOibygroMLn4VCCB7IHu8b58L+9wM2fe4yvPNlOSUFuxj1jGsoK6LZLLE8NTHFZjTVj9vrWCkLhCE+dHs44baPURpLOiP42Y8xwkn1ngdcaY8ZE5E5gH3CDw2NVFpwcmKahrABfXg43bq5g35Pt+Gfn8eWl90vbmH/xjNJ+u+KmNkENfZSIsKex9LxA/6f3v8I3n++k3Ofh1suqEBGuaU69Zmsq0RmrwbkwHSN+3rKnHoDrWqyFQUb9IXbUFWX8fZTaKLKSozfGPGOMGbP/+hzQkI3zKudOx41sb9xcwXzEcODcWIqjFmsbnGLvX/2Ux08MxrYtTJZaPq++p6GUtqFppuwFtQOheb75fCdv3VPPk5+4jb9/z1X8n1/dw/tuaE7rmhJpKPMyODXL0d5JIgYut++71OuJvS73rfyBr1IbjdNAb4CfiMgBEbk7xXs/Cjy0wmPVCsyFI5wZmo4F+muby8hxSdrpm8dODBKOGH5wqDe2rW/crqEvTT6iB6vyxhh4pWcCWFiV6c27aylM87eKVKK19E+ctD6QLq9dKH+8vtV6cFruTb87plIbldNAf7Mx5hrgTuDjInJLojeJyG1Ygf6PV3Ds3SKyX0T2Dw0NOb8DxbkRP3Nhw2V2G19fXg5XNpSkHeh/0Wa9/7GTg8yHrVLJ/kk7dZOiUmZXvfUQ9pg9Qza6KtNqLL8XraX/2fFBPG4XLRULrQquswO95uiVWuAo0Btjeu0/B4H7geuXvkdErgS+CrzNGDOSzrH2/n3GmL3GmL1VVVXp3scl7WS/FVSjI3qw0jeHuyfwz847OkdoPsILZ0dpKCtgPDAXS/v0js9Q5s2lIEWpYlVRHtVFeRzrswP9Kq7K1GAvYXisb5It1YXkuBf+Gd/YWo7H7Yotc6iUchDoRcQnIkXR18AdwJEl72kC/gf4gDHmVDrHqsydGpjCJYtncKabpz/YNc7MXJg/eMNleNwuHj02AERr6JdP20TtrC+OjejbhqZprvCtyqpMNUV55NgLfV9es/g3hurifH7+iVsXLXmo1KXOyYi+BnhaRA4BLwA/MsY8LCL3iMg99ns+A1QA/7ykjDLhsVm+h0veqYEpmit85OcuBNV08/RPtw3jErh9Rw03bang0eMDGGNSTpaKt7OumLbBaXudVf+i7o/ZlON2xVomX1Z7fnVNXUkBbpfW0CsVlfIpmTGmHdiTYPu9ca8/BnzM6bEqu04NTLFtSS7cl5fDlqpCTjlYjQngmbZhrmgopaQglzfsrOHTDxzh17++n+N9k7z2MmeptJ31xcxHDCf6rFWZbt2+eik4q5Z+JlZlo5RKTlsgrHOz82E6RgJcnmBk21rp4+xw6kA/PTvPwa5xbt5SAcDrd9QgAk+eHubjt23h/7p9q6Nr2Wm3LP7Jsf5VX5Up2vPmMg30SqWkLRDWiYmZOVzCosW5wSpjDEcM2xIEvM1VPn52YoD5cGTRA8ulHjsxyHzEcIs9cq8tyeebH72BxnIvjWk81Gyu8OH1uPnBoT5gdRfruK6ljMPd47EKHKVUchro14nf/tZLeNwu/vXD1y3a/vNTVinqzgQzQVsrfcyFDd1jM7RUJs+Xf29/F5tKC7i+ZaF516u2VqZ9jW6XsL22iJc6rRmyW1cx0L/nuibec13Tqp1fqY1EUzfrRNvgNM+1jxCOmNi2kelZ/unxNm69vIqt1YlH9ABnh/1Jz9s9FuDptmHevbcBVxYeYO6st9I3lYV5lOikJaXWBA3060AkYhicmsUfCi9qBfz3j54iEArz6V/akfC41kprRN2+TKD/7wM9ALzr2ux0rdhZZ02cWq2KG6VU+jTQrwPD/tnYSP6lTqsu/kT/JN9+oZMP3NiccDQPUObNpaQgN+kD2UjE8L0DXbxqS0Xs4WamoiN6XZVJqbVDA/0FEJwLc3bYz9lhf6zpVzoGJ2djr6OB/l+ePIvXk8PvvX5b0uNEhNZKX6zvzFJPtQ3TPTbDr+5tTPuaktleW0RNcR43bK7I2jmVUpnRh7EXwG/854HYQ9PmCi9P/OGtaS2KEW0VXFOcx8ud4wTnwjxytJ87d9dS6l2+p8vmSh/PJpg0NRMK8+cPHqWhrIA37qpN426Wl5/r5vk/eX3WzqeUypyO6C+AIz0T3Ly1gg/e1My5kQBtg84mMUUN2Gut3rm7jrPDfu470M307Dxvvzr1NP/NVT76JoIEQot73vz9oyc5O+znb9955aIZtUqpjUcD/SqbDM4x4g/x6q1V/PprNgNWu4F0DEwEEYE7dtYA1kPY6qI8bnSQHok+kO0YDsS2vdQ5xlefPsv7bmhaURmlUmp90UC/ys7ZAba10pp81Fzh5enTaQb6yVkqC/O4usnqXzPqD/HWPfWO+rm0Vp5fYvnfB7op9OTwqTcnrtZRSm0sGuhX2dkRK8BGJyy9emslz7WPMGf3e3eifzJIbXE+BR43O+w2A2+7qt7RsS2VVjVN+9BCuujssJ9tNYVZXxBEKbU2aaBfZR32SLq5fCHQ+0NhDiZYSDuZgckgNcXW0nh3XlHLDa3lXLGpxNGxXk8OdSX5i2rpzw77YykdpdTGp4F+lXUM+6kryY8t3PGqLZW4BJ5KI31jBXqrLe9v3bqV//qNm9Kq2tlWUxSbaBUIzdM3EYzNmlVKbXwa6FfZ2RH/oqXuSry5XNFQyi8cPpCdnQ8zFpiLBfqV2FlXzOnBKULzkdhD2fhrUkptbBroV1nHsD+WJ4969dYKa0WnUDjl8dHJUqnWbF3Ozvpi5sKG04NTsYeyrcs0OVNKbSwa6FfRRGCOscDceaPnbdVFhCOGnvGZlOcYsBfnrrZz9Cuxy25LcKx3MtYOYemHj1Jq49JAv4o6llTcREWXwYvOeF1Ovx3oax0u55dIS4WPglw3x/omabefGXg9WnGj1KVCf9pXUTTQL02T1NuLbfdNOBnRW6mbmqKVB3q3S9heV8TR3knmwxFN2yh1iXE0oheRDhF5ZcnC3/H7RUS+KCJtInJYRK6J2/chETltf30omxe/1p0d9iMCTUtWaYqmYZyM6Acmg3hyXJRm2Nt9V30xx3utEb0GeqUuLemM6G8zxiQrFbkT2GZ/3QB8GbhBRMqBPwP2AgY4ICIPGmPGMrjmdaNj2E99ScF5vWTyc91U+Dz0TToL9DXFeWmVUyays66EbzzXCeiDWKUuNdnK0b8N+LqxPAeUikgd8EbgUWPMqB3cHwXelKXvueZ1jASSPvSsLcmnL8XD2Nn5MAfOjZ33G8FKRPvEA1pDr9QlxumI3gA/EREDfMUYs2/J/k1AV9zfu+1tybavCedG/PzOt18mOBcm1+3ib991Jbvqnc04daJrNMAdu2oS7qsrKaB7LJBwX9R/PNNB99gM/+87rsj4WrbXFuESiBitoVfqUuN0RH+zMeYarBTNx0XkliX7E+UVzDLbzyMid4vIfhHZPzQ05PCyMvPT44Mc7p6gpcLHyf4pfnS4L2vnDs6FGfGHqLMfvC5VV5Ifq6hJZHh6ln/8WRuv217NLZdVZXw9+blutlQV4nYJjVn4DUEptX44CvTGmF77z0HgfuD6JW/pBuKXKWoAepfZnuh77DPG7DXG7K2qyjywOfFK9zi1xfns++BedtUXs78je48OovXvdUnKImtL8hkPzCWdNPX3j55iZi7Mn2Sxw+T1reXsrCsm161VtUpdSlL+xIuIT0SKoq+BO4AjS972IPBBu/rmRmDCGNMHPALcISJlIlJmH/tIVu8gA4e7J7iywUrV7G0p51D3OKF5510ll9M7bgX6+tLkI3pIXGJ5on+S77zQyftvbM7q2qufeetOvnP3jVk7n1JqfXAytKsBnhaRQ8ALwI+MMQ+LyD0ico/9nh8D7UAb8C/AbwEYY0aBzwIv2l9/YW+76CZm5mgf9rOnsRSAvc1lzM5HONI7kZXz909aATzZRKdkk6aMMfzlD49TlJ+77HqwK5GX48anrYmVuuSk/Kk3xrQDexJsvzfutQE+nuT4rwFfy+AaV8WRHiugR9v9XttSBsD+jlGuaSpzfJ7gXJgfv9LHL++pJycuJRId0SdL3SxMmloc6B87McjTbcP82Vt3plwPVimlnLhkk7WHuq1+8NHUTXVRPs0V3rTz9D85NsAffPcQ3z+4+NFD/0SQkoLcpK0GYiP6uAeykYjhr350nM1VPt5/Y3Na16GUUslcsoH+cNcEzRXeRaPmvc3lHDg3hvULijNtA1af9395qn3RcX0TM0lH82BVwZR5cxfl6Psmg7QP+/nIq1r0galSKmsu2WhyuHucKxtKF23b21LGiD+0aH3VVM4MWe890T+1aNHv3vFg0gexUbUlBfSNL4zoh6esvjapjlNKqXRckoF+aGqW3okgexoWT47a22zn6c85T9+0DU7zmm2VVBXlse/J9tj2/slgyo6T9SX5i3L0Q3agryxceUtipZRa6pIM9Idj+fnFI/otVYUU5eXwSrezyptwxHB22M/OumI+/KoWnjo9zIn+SYJzYUb9IepTBPraJZOmhqatQF9VpIFeKZU9l2SgP9Y7CSzu/wLgcgktlb5Ye+FUuscChMIRtlQV8t7rmxCBR44MxEoma5PMio2qK8ln1B8iOGdNmoqmbioKtdpGKZU9GzrQTwbnYkE03on+KZorvBQmqClPJ9C3DVqrNW2pLqTc52F7bTHPnx2h137AmnpEb30QRD8YhqZnKSnIJS/HvdxhSimVlg0d6D/w1ed555efwT87v2j78f5JttcWJTymtcJLz9iMoxmyZ4bsQG93g7yhtZyXOsfoHLGaldWleKi6yd7fPWZ9MAxNzWraRimVdRs20M+HIxzrm+Ro7yS/+52DhCNW6eNMKEzHsJ/ttcUJj2up9BEx0Dm6fGdJgDODfioLPbESzRs3lxOci/DI0X4g9YLejeXRQG99r6GpWar0QaxSKss2bKDvHA0wFzbc0FrOT48P8PlHTgJwenCKiIEddYlH9NH1XTsclFi2DU2zuWqhF831rRUAPHl6mDJvLgWe5VMwtcX5uF1Clx3oh6dnqdQRvVIqyzZsoI/Wt3/yzu287ap6/uOZDoJzYU70WROcko3oW+1e7any9MYY2ganFzUdK/d5uLymiHDEpHwQC5DjdlFfmr84daMjeqVUlm3YQB//oPTtV29iZi7M82dHOd4/SUGuO+mqTaXeXIrzc1IG+lF/iImZObZULe4uecPmciD1g9ioxjIvXaMBAqF5/KGw5uiVUlm3YQP9maFpqovyKM7P5abNFRTkunns+AAn+qa4rLYIlyvxGqwiQmulj47h5XP0pwcXP4iNusFO39SVOgv0DWUFdI3NMDwVAqBSSyuVUlm2YQN92+B0bLSdn+vm5q2V/PT4ICcHptiRpOImqqXSl7INQnTS1e5Ni2fX3rC5HLdLaC53tlxfY5mXoanZWJ5eR/RKqWzbkIHeGMOZocX589t3VNMzPsOoP5S0tDKqpcJH78RMwhr8qINd4zSUFZzXrqCyMI8Hf/tm3ndjk6NrbbArbw52WR8cGuiVUtm2IQP90NQsU8H5RWmV2y6vjr3eXpf4QWxUa6UPY6zFvZM52DnOVY2lCfftqi9J2p54qcYy61nBy512oNeHsUqpLNuQgb7Nnsi0tXph5F5bks8uu+VByhF9tMRyJHGgH5wM0jsRTBro09EQC/RjiFiVO0oplU0bMtCfiVXcLM6Tf+DGZl6/ozrlyk0tFVbwTVZL/7KdZrm6KfNAX12UhyfHxYg/RLnXs2iVKqWUyoYNuYDomSE/Po/7vJmpd13fxF3Xp86dl3o9lHpzOZukxPJg1zg5LmFXfUnC/elwuYSG0gLah/2an1dKrQrHw0cRcYvIyyLywwT7/j8ROWh/nRKR8bh94bh9D2brwpdzenCKLdWFiCQuoXSipcK3aET/0Ct9/Mn9rxCOGA52jrOjrpj83Ow0H9tUZj2Q1UCvlFoN6Yzofxc4Dpz3JNMY8/vR1yLyO8DVcbtnjDFXrfgK0zTmD/HC2VE+cGNLRudprfTxfPtI7O///VIPPz0+QLnXwys9E7zj6k0ZXumCRnvyli44opRaDY5G9CLSAPwS8FUHb38v8O1MLioTDx7qZS5seNe1DRmdxyqxDMZKLM8OT+MS+NLjbUzPzmflQWxUg47olVKryGnq5h+ATwDL9u4VkWagFXgsbnO+iOwXkedE5O3LHHu3/b79Q0NDDi/rfPcd6GZXffF5i4qkq6XSGmV3jgaYD0foHA3wwZtaYhU7V2XhQWxUtMRSSyuVUqshZepGRN4CDBpjDojIrSnefhdwnzEmfqZRkzGmV0Q2A4+JyCvGmDNLDzTG7AP2Aezdu9c4voM4J/oneaVngj97686VHL5Ii93c7OywH4/bxVzYsKu+mI+9ppXHTgyyudLZzFcnon13qos10Culss/JiP5m4JdFpAP4DvA6EflGkvfexZK0jTGm1/6zHXiCxfn7rLpvfze5buFtV2WeP49vV9w+bJVrbq7y0VDm5YM3tWT0oHepKxtK+NyvXMEdO2uzdk6llIpKGeiNMZ8yxjQYY1qwAvljxpj3L32fiFwOlAHPxm0rE5E8+3Ul1ofGsSxd+yJz4QgPHOzh9u01WZl0VFKQS7nPQ8eIn3a75fHmysIUR62MiHDX9U0p+9crpdRKrLiOXkT+AthvjImWTL4XtPwj1wAABalJREFU+I4xJj7tsgP4iohEsD5UPmeMWZVAH44Yfvf2bVyepM/8SrRUeDk77EdEKPXmUqazVpVS61Bagd4Y8wRW+gVjzGeW7PvzBO9/BrhixVeXhvxcNx+4qSWr52yp9PHsmREEq3WxUkqtRzrffhmtFT76JoKc6J9ctbSNUkqtNg30y2i2R/FjgTk2V+mIXim1PmmgX0Z0/Vggq+WUSil1IWmgX0Z00hRAq47olVLrlAb6ZRTl51JZ6EFkYQKVUkqtNxuyTXE2tVT4yMtxZ61TpVJKXWga6FP4rdu2MDkzf7EvQymlVkwDfQqv215zsS9BKaUyojl6pZTa4DTQK6XUBqeBXimlNjgN9EoptcFpoFdKqQ1OA71SSm1wGuiVUmqD00CvlFIbnCxeEGptEJEh4NzFvo5lVALDF/siskTvZe3aSPej97L6mo0xVYl2rMlAv9aJyH5jzN6LfR3ZoPeydm2k+9F7ubg0daOUUhucBnqllNrgNNCvzL6LfQFZpPeydm2k+9F7uYg0R6+UUhucjuiVUmqD00BvE5GvicigiByJ27ZHRJ4VkVdE5AciUmxvbxGRGRE5aH/dG3fMtfb720TkiyIi6/FeRMQrIj8SkRMiclREPneh7yNb97LkfA/Gn+tCyuK/MY+I7BORU/b/n3eu43t5r/3+wyLysIhUruV7sfddae87au/Pt7df9J/9pIwx+mWlr24BrgGOxG17EXit/frXgM/ar1vi37fkPC8ANwECPATcuR7vBfACt9mvPcBT6/Ve4o77FeBby71nPdwL8P8Af2m/dgGV6/FesBY+GoxeP/C3wJ+v8XvJAQ4De+y/VwBu+/VF/9lP9qUjepsx5klgdMnmy4En7dePAsuOnESkDig2xjxrrP/zXwfenu1rTSUb92KMCRhjHrdfh4CXgIYsX2pK2bgXABEpBP4A+MusXmAasnUvWIHnr+1zRowxF3zyTpbuRewvnz36LQZ6s3mdTqR5L3cAh40xh+xjR4wx4bXys5+MBvrlHQF+2X79bqAxbl+riLwsIj8XkdfY2zYB3XHv6ba3rQXp3kuMiJQCbwV+tvqX6chK7uWzwP8BAhfoGp1K617s/xcAnxWRl0TkeyKyVta7TOtejDFzwG8Cr2AF+J3Av17A611Osnu5DDAi8oj93/8T9va1/LOvgT6FXwM+LiIHgCIgZG/vA5qMMVdjjRK/ZefwEuXk1kpZU7r3AoCI5ADfBr5ojGm/wNecTFr3IiJXAVuNMfdfnMtdVrr/X3KwfrP6hTHmGuBZ4O8u/GUnlO7/l1ysQH81UI+VEvnUhb/shJLdSw7wauB99p/vEJHbWds/+7o4+HKMMSewflVDRC4DfsnePgvM2q8PiMgZrE/6bhanNxq4CL+KJrKCe9lvH7oPOG2M+YcLftFJrOBergOuFZEOrH/z1SLyhDHm1gt/9Yut4F4OYP1WEv3Q+h7w0Qt82Qmt4F7E3nbGPua7wCcv/JWfL9m9YP2M/zyaLhORH2Pl97/BGv3ZBx3RL0tEqu0/XcCngWhFSpWIuO3Xm4FtQLsxpg+YEpEb7ZzjB4HvX5SLXyLde7H//pdACfB7F+Oak1nB/5cvG2PqjTEtWKOwU2shyMOK7sUAPwButU9xO3DsAl92Qiv4N9YD7BSRaCOuNwDHL/R1J5LsXoBHgCvFqkrLAV4LHFvLP/uAVt1Ev7DSE33AHNan9keB3wVO2V+fY2GC2TuBo8AhrIeUb407z16s/N4Z4EvRY9bbvWCNSAzWD95B++tj6/FelpyvhYtXdZOtf2PNWA8KD2M9N2lax/dyj/1v7DDWB1jFWr4X+/3vt+/nCPC3cdsv+s9+si+dGauUUhucpm6UUmqD00CvlFIbnAZ6pZTa4DTQK6XUBqeBXimlNjgN9EoptcFpoFdKqQ1OA71SSm1w/z/BK19HZKulKwAAAABJRU5ErkJggg==" alt="">

 
在这个更简单的例子中,很容易看到数据中的正向趋势。但在有噪声的情况下,它不是很直观。因此,我们可以使用一些技术来估计或建模这种趋势,然后将其从系列中删除。有很多方法可以做到这一点,其中最常用的有:

汇总—取一段时间内的平均值,如月/周平均值
平滑——取滚动平均线
多项式拟合-拟合回归模型
我将在这里讨论平滑,您也应该尝试其他技术,这可能会解决其他问题。平滑是指采用滚动估计,即考虑过去的几个例子。有很多种方法,但我将在这里讨论其中的两种。

17
#移动平均数

#在这种方法中,我们根据时间序列的频率取“k”连续值的平均值。这里我们可以取过去一年的平均值,也就是最近12个值。panda定义了用于确定滚动统计数据的特定函数。

moving_avg = ts_log.rolling(12).mean()
plt.plot(ts_log)
plt.plot(moving_avg, color='red')
17
[<matplotlib.lines.Line2D at 0x1c26335890>]
 
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nIHvK6eL2O4kwj3o1fwIIF8Kc/wc9+Bm+/zUavkTMfWMtDH1QC4HD72FLXxTGlI0/bBClM14R+e8Cy+GBH9PcDq6SU09BmwO7sd34FMDnwdRXwCIAQIhP4LXAssBD4rRDiwP+rKBSKiPz1k2pOuu8DXv6yIeZrNwVyyAX98ueZJgMmgz4mEX3QNTI/NUKO3hTojh1F+mbVtmbmFqcPeLMaQEcHN737ODfcdik0N8PKlfCnP+GQOq5/cQtSwtvbtTeNDdUduH1+jp+cc8DPVZieiN3tY11VO/F60WezO5YMK/RCiFRgKfAkgJTSLaXsb/F2HvCM1FgHpAshCoAzgHellB1SSgvwLrA8pr+BQqHgy1oLfgn//a/NMRf7xkEieiEEJVmmmAh9U0Do+7+ZAGSnBIzNRhDR291eNlR3ANqM2K8aulgxK3/wG7q74Y9/hEmTOP29f7JyzunI7dvh/PMBuOftXVS32zlzdj6V5h72t9n4pLINg17HgrIDj12DtfTv7zRTkZuCIW5ssunRrDoRaAX+KoT4UgjxhBCi/0DECUBd2M/1gWODHVcoFDFke6OVU6flcmx5Fv/9r83UtMeu7LGpy0FCnI6MCO6RpZnGmLxWs1X71BCx6sY08tTNS5vq+fajn/HSpnpWbWsGYPnMCEJvtcKdd2r2BL/+NSxZwlvPvMkNZ1xLo15LTVW32fjrJ9VctriUm1dMB+D9nS18XNnGvNL0AeWgIyH45mnudo1Zfh6iE/o4YB7wiJTyaMAG3NTvmkj1QHKI4wMQQlwlhNgohNjY2toaxWMpFArQBlLXWxwcU5bBrWdPxy8J5XxjQWOXk8L0pIhlf8WZSdRbHEgZ8c86aoIRfSShz0tNJE4nRvTJod6ivXHcsvIrnl1Xw7T8FMqyw+JTqxX+8AcoL9c6WRcvhvXr4fXXyTluAdDbYLU1MNv14oUlFGcamZafwkub6tneaOX4YXL+wxH+KWl6wdAbxaMhGqGvB+qllOsDP7+EJvz9rykO+7kIaBzi+ACklI9LKedLKefn5Bx4zkuhGG9sb9KEaGZh2gEbcw1FU6cjYkoFoCjDiMvrp3WUde4tXU5SE+MiRseGOB2lWUYqA/NYo6G5y0lOSgKZJgPV7XZWzApYEuzbB7ff3msbfNxx8Pnn8PrrsFDzhQ+WYO4NCP2e5m70OhGqsT9teh67mrVzw23uDkeWyRBK18woPIgRvZSyGagTQgTHppwK7Oh32avApYHqm0VAl5SyCXgbWCaEyAhswi4LHFMoFDFiRyB6n1mYiikhjvzURKpaY5m6cUashgFCs1GDEfRYvAZARW7yiIS+xeqkPMvEo987hoXlmVzsq9dEvaIC/ud/YMkS2LABXntNq64JI91oICclIeSNs6elm7IsIwlxegBOm5EHQEpiHLP79RaMFJ1OUBh4Ex3L1E20yaWfAs8JIQxAFfB9IcTVAFLKR4E3gTOBSsAOfD9wrkMIcQewIbDO76SUHTF8foVi3LO90UpeakLIu70826TVgccAr89Pi9VJYfrgET1Ag8XBvJID35TUaugjvwZoQv/+TjMenz+qmvUWq5NZE9KYmyz517bn4ccPQVER3HMPXHQRlJQMef+UvORQRL/X3MO0/N60ypwJaRSkJXJ0Sfqws2GjoTA9CZfXP3BoSQyJSuillJuB+f0OPxp2XgLXDHLvU8BTB/qACoViaLY3djGzsDeyLM8x8dZXTTFZu6XbhV8yaLQ9IYYR/fT8wSPaitxkvH5JTbst4hjAcKSUWDq6OW/XW3DtE9DZCddeq+XkU6LLg0/OTeFfG+twuH1Ut9s4Z25h6JxOJ3jx6sWYRrEJG84vTp9Ct3NsJ00p90qF4jDG6fGxr9XGGWEVJROzTVjsHiw2Nxmm0UWJTQHDrYJBIvrkhDgyjPHUWw68xNLj89PW4xo6os/RBHpvS8/QQu/x4Hz2Od54+EaKrGY44wzNtmDu3BE90+S8ZOxuH2v3tiLlwGHiwU8ysWBBWWbM1hoMJfQKxWHMruZufH4Z8okHLXUDUNVm45hRCn1joBqmcIj8eVGGcVQRvbnbhZSRa+iDTMrVfqeIefqaGm2a09tvwxtvkNTZiSVvEjX3PMCSH110QM8UtEp4fav2yWjqMNYJhzpK6BWKw5jejdiw1E12b+XNaNrzYfiIHrQN2WAp4oHQ3BWhhl5K2LgR3nsP3G6MPh+PvLOOaf9pAV8PdHSAwwE+H3i92j3Z2XD++exYdBrnVqXywunHHfAzTQl8anhvZwvxetG3NPMwRAm9QnEYs7vZSkpCXKj6BaA409hrzDVKmrqcJCfEkTqEh3tRRhKrd5mHHtYx1Gt0OsiydVJWsxs2vANr18I770B1dZ/rFmbkUp89Qat5z8gAo1GzDC4shBNP1BwmdTp2bKpH7t9CXgQ7hWhJM8aTm5KAudvFlLzkAzYtO1RQQq9QHMbUWRwUZxr7CGy8XkdJpjEmtfSNQ9TQBwnW0rf1uMlJGeg+SUODJt6ffqqlWdraNGdIKcFiYXldHWe73fDnwPVpaXDCCXDbbXDeeZqoAw+9vpPnP69hx/8sR6cb/A2lxaqlm0Yj9KClb8zdrmE97A8HlNArFGPM3pZuyrJNYxIVNlgizxstzzbFpJa+qctJwTBGYL219PZeoW9qgr//HV56SatXBzCZYNIkLcWSFkg1TZrEhjlLWW1L4Nc/Oh0xeTLMmKFF6v2oyE3G6fHT0Km9uQ1Gi1VrvkoyDFxjJEzOS+bjyrbDPj8PSugVijHFYnOz4v61XHNyBb84fUpM15ZS0tDpYPGkrAHnyrNNfLKvDb9fDhn9DkdTl6PPRm8kghUo9RYHR7dXa+ZgK1dqufMFC+Cuu+D002HOHIiL4+EPK5lfmsnCcq3a5MmnN1LV2sMtF5w05OsEnR0rW3siCn0wddRidY46mgetxBIGVtwcjhzeiSeF4hCnut2G1y/5x+e1eHz+mK5tdXjpcXlDDojhlOeYcHr8NAXSGAeCy+ujrcc9ZMcqaLX05R0NTP/5lTBvHrz7Llx3HezerdkL3HijdjwuDpfXx71v7+am/2zF55c0dTn4cLeZk6flDvs8QaHfF6Hy5uEPKznx3g9xe/00W4cu1YyWk6flcErAKO5wRwm9QjGG1AXKDs3drtDwi1hR36nVrk/IiCD0wcqbEaRvPq1s44qnN9AVGIwdHDgyVMUNDQ0kX/tj3n3yxxSv+0Dzj6muhv/9X5gy8BNMXYcDKaGq1cbrWxv52yfVSOD7S8qGfb5Mk4F0Y3zEvYeXv2ygtsPO6l1mzFYnuSmjF/qCtCSeunzBqHsRDgWU0CsUY0hwnmpeagLPrquJ6doNgTeRiBF9QOirR2Ah/MFuM+/tNHP1s5vodnq49eVt6ASR/VwcDrjjDk3Mn3mGN064gOvv/Ld2LG1w/5faDu15khPiuP+9vTy/vpYVs/KjbkAqyTQOcLGs67CHfGn+uaEWc7cr4kjC8YwSeoViDKm32MkyGbh0cRmf7mtnX2tsPGgAGgI17pEi+ryUROL1groRdKw2W10kxOn4rKqdk+79kI8r27j3W3P7jreTEl58EaZP16pizjwTdu3irR/exA7/MNOb6B07+KvlU6lqs9Ht8nLlCROjfsaSTOOAYeSrd5kBOHN2Ph/sbsXnlzHJ0R9JKKFXKMaQug4HRZlGLlpQTLxe8K+NdcPfFCWNnQ4S43WhwRzh6HSCCelJ1HdE37Ha0uVkbnE6vzx9Cu02N3ecP4tvHlPUe8HatbB0KVx4IaSnw4cfaqJfXk5RhuZL7/cP7Utf027HaNDz3WNLmV6QynGTsphbnB71M5Zkal24vrDXeX+XmYk5Jq5fNjV0LBapmyMJVXWjUIwhdRY7syekkZ2cwOwJaXxZ238K54HT0OkYdCAIaI1TI/GgabY6Oao4nZ+eOpnvLSrtzU1v2KDl3t95B/Lz4bHH4Ic/7FMCWZptwuX102x1DjmXtbbDTkmmEb1O8NLVi9GNsMGqJNOI1y9pDJRY2lxe1u1r57LjSpmYk8yCsgw2VFtishl7JKEieoVijPCFCRLA9IJUdjZZRz2NKUiDxRExPx+kKMMY2gweDillH6vgDJNBE/jzz9cGcmzaBPfeqw3uuOqqAXXuk4L+Ov02f7c3dvHzF75kV7Nm1VDTbqM0UPdvShh5rXtJ4L9lMH3zcWUbbp+fU6ZpHvGXH1eO0aCnLEJvwXhGCb1CMUY0W514fJLijF6h73Z6Q7n10dLQ6ehjfdCf4swkOmxubC7vsGt12j24vX7yUhK0yP2UUzSBX7NG22Ddvx+uv16zHYjAxByt9LEqYLvg80tuf3U75zz4MS9v1qpr/H5JncVBadaB+8YEm8OCG7Krd5pJSYxjfmBA91lzCtjy22Vj6u1+OKJSNwrFGBGMOoszNTEObmrubOoetc2t06PVuA8X0YPWyDQ1f+juzuYuB6ftXc+3rroJdm3T/GPuu0+L3qPwcM9LTcBk0Ici+jV7zPzt02ouml9Ms9XJB7vNNFmduL3+UFR+IBSkJfWZH7t+fzuLJ2b16To+3H1pxgL1X0ShGCNCQh8Q3Gn5KQjR6zg5GoaquAlSHDjXv0qlDz4fvPUWBect54n/3EGCywFPPglVVfDLX0Y9qEMIQXmOKVRVtLW+CyHgtnNmcPacAlqsLlZtawYIpW4OBL1OUJSRRE2HndZuF9Xt9lA0rxgcJfQKxRhRZ3EgBKHNSVNCHGVZJnY2xUDoQzX0g4tmcG8gYollczPceac2Q/XMM0nYv49blv2EtnWb4Ac/gISR16FPzE4ONTNta7AyMduEKSGOk6ZqXa/PfFYNQGnm6Cx/iwMlll/UWgBGbcU8HlBCr1CMEfUddgpSEzHE9f6ZTS9IYWfz1xPRZ5kMJMXrqQuWWPr98P778O1vQ3Ex3HILlJfDP//JX/6+mueOPpPczAM38JqYY6Kh04HT42N7YxezAo1WOSkJzC1Ko6bdTpxODDp/NlpKs7SmqS9qLBj0uj5e/IrIRCX0QohqIcRXQojNQoiNEc7fEDi3WQixTQjhE0JkRnOvQnGkUmexU9QvHz09P5Wadjs9UWyQDkWDxYFeJ7TN00EQQgTq2+2wapVmKnbaabB6NfzsZ5oXzerVcOGFNDn8ZCcb+rwpjZSJOclICZtqLDR1OZkVJsDBqH5CRtKoB2qXZBrptHv4YLeZWRNSSYwfnUvleGAk/8VPllIeJaXsPyQcKeW9gXNHATcDa6SUHdHcq1AcqdR1OEL5+SDBDdndo4zqGzod5KcmDiuaJ1qquPKP18KKFeB0wjPPaP7w993Xx4umuWv0jo8TAyWWr25uBAhF9ACnBEzLRrMRGyS4xp6WHpW2iZKxSN38F/CPMVhXoThscHp8tHQ7QxU3QaYHLH93NEU/es/nl5z1wFquee4LzN1O3tjaxFvbmpg2VCXNpk2wbBm3/v4HTK7Zgbz3Xti+HS65BBI1Qbe5vKGN2mari/zRCn2OJvRvbdPmrM4IszeePSGNsiwjc4ui74IdjHCLYiX00RFteaUE3hFCSOAxKeXjkS4SQhiB5cC1I71XoTiSaOjUXBr7R/SFaYmkJsaNqPKm2epke6OV7Y1W1uxppcfl5ZjSDO7+1pyBFzc2wg03wPPPQ3Y26398I99PnM+nPzmX9ITe2nKvz893nljP/tYePr35VFqsTo4uGZ0IGw1xFKQl0tTlpDTLSFpS7/hBnU6w6udLY1L6GP6pYJ4S+qiIVuiXSCkbhRC5wLtCiF1Syo8iXHcO8Em/tE1U9wohrgKuAigpKRnhr6FQHFoEI+X+05+EEEwvSB1R6qYm4ED5u/Nm8u6OFooyjNx+7gwS4sJy01LC3/4Gv/gFuFzw61/Dr36Fpc6O/dkvqLc4+jQRPfZRFVvqNDuGf6yvpcPmHnVED1pU3z8/HyRWufSUxHgyTQaSE+KUp02URCX0UsrGwL9mIcRKYCEQSegvpl/aJtp7A5H+4wDz58+PTY+4QnGQCFoP9I/oQdu0XBVIb0RDbcDx8eSpuVy6uGzgBevXa12rH3+smY498QRMngxAUcAss67DHsqZ72i08qf39nD2nALqLA4e+rASIDZCn53MJ5XtffLzY8GyGXnKoXIEDPs5Sl0ydXEAACAASURBVAhhEkKkBL8HlgHbIlyXBpwIvDLSexWKI436DjuGOB25EapiJmabsNg9dNrdUa1V26GVJQ4Y0m2zaZ2rixbBnj2a2dgHH4REHnrz2eEe7net2kVaUjx3nDeLHywpozMwaCQvBkZgwTz9rAlDjx8cLXd9c07MRzMeyUSTMMsDPhZCbAE+B96QUq4SQlwthLg67LpvAO9IKW3D3Rurh1coRsOG6g6eWFs1JmvXWewUpSdFnNdaFpz+FGFSUiRqOuwU9S9L/PJLOOYYLXq//nqorNREX9f3TzotKZ7sZEMfH/ztDV2cNj2PDJOBFbMKQm9GsYjoT5+RxwXzJjC/NHPUaylix7CpGyllFTA3wvFH+/38N+Bv0dyrUBwK/O3Tat7Y2kRxppEzZubHdO2gD30kwqc/HV0y/GZibbudkqARmJRw//3aHNasLHjvPc2AbAgm5SRTGZizarG5abe5Q/NXDXE6Ll9Sxv3v7R11IxNo/jr/78KjRr2OIraozljFuCW4yfmbl7fR5fDEdO06iz3kNdOfkkwjOhH9PNeadhslmUlQW6vVw//iF3DGGbB167AiDzA5TxN6KWXIXXJSwG0S4Oqlk/joVyeTkhg/2BKKwxwl9IpxiZSSmjY7C8szabe5+eObO2O2drfTQ6fd06feOxxDnI6iDCP724cfCtJpd2N1eFix5j8wY4Y25enPf4ZXXoHs7KiepyInGavTS2u3i31m7c0lXOh1OqE2No9wlE2xYlzSYXPT7fKyYlY+cyak8cTH+/nlsqnkDGEpEC1Bb5lIFTdByrJN7G8bfn5sfW0LD71yF0t2fwLLlmkbrmVlI3qeilytsarS3MO+1h4McbohPXIURx4qoleMS6oDaZuyLBMnTs0BYK85+m7VoQi6Rfbvig1nYraJ6jb70NOmvvyS0jNPYfmezzDfdofmVzNCkQctdQNQ2aoJ/cRsE/oIm8SKIxcl9IpxSXWbJsalWcbQxuS+KHPmw9Hfhz4SZVlGelxe2noilFj6/XDPPXDssQhrN9+76Pck33ITjHC+apDclARSEuLY29LDvlZbn7SNYnygUjeKcUlNuw2d0KpE4vUCk0HPPvPwqZRoqLc4SE6II904+OZmeIlln3RRXR22i7+L6dO1WJafzf0XXk9lowej4cD/VIUQTMpNZkeTldoOO+fMKTjgtRSHJyqiV4xLqtvtTMhIwhCnCwlheK35aKgL1L2LISLwidlaVF0dXkv/1lv4Z89BbNzADSuuY/nx17GuS1AaA8fHybnJfFlrweeXTMpVEf14Qwm9YlxS026jLGxIdXit+Wips9gHrbgJUpieSLxeUBUU+gcfRJ59NpWmbC66+mGW/vFGupxedjV3D/DLORAqcpPxB7YDVOpm/KGEXjEuqW6395ldWpGbTFOXc9QDQaSUEX3o+xOn11GSaaR1fwN873tw3XXUH38q5110F7f+7FzOmVvIXRdo7pRBn/fRUBEWxZfHYD3F4YXK0SsOaTw+P3E6MWQaZKR02t10OTwDInqAqtYe5ozCM72tx43D49ManIbhvPovuOSJ34OzG26/nRfmfwvPJzXML9PsA84/egK5KQkxGZUXFPrCtERMCerPfryhInrFIUt7j4sT7v6Axz+KrR9N0GMmXOgrcrXvR5O+kVKyIzD4e8jUjc8Hv/kN1/3plzSZMpAbNsBvf0t9t5uC9MQ+pY/HVWSTNsSmbrQUZRhJiNOp/Pw4Rb21Kw5Zbn9tB81WJ5sDvumxoibQkVqW3SvGpVkm4nRixBuyUko21Vh4cWM97+1sod2mlUsOmgfv6IDvfhdWrWLv2RfyjakXs3biNHKBxk4HhWlj08ik1wl+cHz50FOpFEcsSugVhyRvb2/mtS2NGPS6qF0eo6W63YYIlFYGidfrKMkyjjiif/yjKv741i6MBj3LZuQxrzSDeSUZofLJPmzZAhdcAHV18Nhj1C89D9ffNlLbYSc3NZEGi4NFk7JG++sNyo3Lp43Z2opDGyX0ikMOh9vHrS9vY0ZBKvPLMnhxYz1Sypjl6Wva7RSmJQ2YeFSRkzzipqnPqtqpyE3mlWuWDJ77lhIeeQR++UvIzISPPoJFiygNfHqoabdzVHE6zVYnE9KVNYEi9qgcveKQY1ONhdZuFzecMZXJuck4PD7M3a6Yrb+vtSdi5UlFbjLVbTY8Pn/Ua9V22Jmcmzy4yHd2wvnnwzXXwEknwRdfaINC0D5RCKH5zbd0u/BLKFRCrxgDlNArDjk21nSgEzC/LIPSwIZpdYzSN36/pNLc06fcMMiknGS8fhnK4UezVr3FMfjG6+7dcOyx8Oab8H//B2+8AXl5odOGOB2FaUnUddhpCIweVBG9YixQQq845NhUY2FqfiopifF9hnTEgiarE7vbFzL6CqfX8ya6PH1rjwu31x/Zd/7llzWR7+iA99+Hn/98wPQn0Lzpa9ptNHZqQq8iesVYoIRecUjh80u+rO3kmFKtlr0gTesgrY4yyh6OvS2aQ2VFhKqY4LzTaDdkg+ZlfSZJuVzaYJBvfEOb3bphgzawexBKMo3Udthp6FQRvWLsUEKvOKTY3dxNj8sbmjkap9dRnGGMWeomKOKT8waWGaYkxpOfmhh1RB8cuF0SFPo1a2DuXPjTn+C66+Djj4e1FS7JMtLW42ZvSzeZJgNJBv2Q1ysUB0JUQi+EqBZCfCWE2CyE2Bjh/ElCiK7A+c1CiNvCzi0XQuwWQlQKIW6K5cMrjjw21VoAOKa0d5ZqWbYpZhF9pbmHLJOBTJMh4vmK3OSoXSyDA0YmJAA//am22ep2a77x998PCcMPMQnaMKyr6ojJzFaFIhIjKa88WUrZNsT5tVLKs8MPCCH0wEPA6UA9sEEI8aqUcsfIH1UxHthU3UFuSgJFYXnv0iwj66raY1JiudfcM2R36KQcE//+oiGq16qz2FlibyBxyWLYtg1+9jO4804wRm9CFvw00Gx1Mrd49FYHCkUkxjp1sxColFJWSSndwAvAeWP8morDmI01Fo4pzegjsuXZJuxuH62jLLGUUrK3pZvJQwh9RW4yPS4vLdZhXstq5eRH7+SZh34CZjO89ZaWshmByAOUZvaWeaqNWMVYEa3QS+AdIcQmIcRVg1yzWAixRQjxlhBiZuDYBKAu7Jr6wLEBCCGuEkJsFEJsbG1tjfKxFAcLv1/SaY8wHWkUtFid1FscfdI2QG+J5SjTN609LqxO75BCH7QuGGxD1uH2Yd9fC0uWsOKDF1l36gWwcycsX35Az5RmjCctSfOyURuxirEiWqFfIqWcB6wArhFC9C8j+AIolVLOBR4EXg4cj/TZN+KQTCnl41LK+VLK+Tk5OVE+luJg8ciafSy95wNcXl/M1vxwtxmARRP72gCUBfLYo92QrWzRxDs4LDsSw5VY/va+lXTPPxZZXc2lF93B+ht+r3W7joJg+kYJvWKsiEropZSNgX/NwEq0lEz4eauUsifw/ZtAvBAiGy2CLw67tAhojMFzKw4iPr/k2XU1WJ3eUKNPLHjjq2ZKMo3MLEztc3xCehJxOjHqWvq9oYqbwSP6nJQEUhLjIkb0liee5jf/cyl6p4MX7nmGj0uPilxDP0KCg0UmxGAthSISwwq9EMIkhEgJfg8sA7b1uyZfBJKqQoiFgXXbgQ3AZCFEuRDCAFwMvBrbX0HxdbN2bytNXU6gt8RwJNRb7Kza1kRDpwMptQ94nXY3n1a2cebsggGboHF6HcWZxlELfaW5h5TEOHJTBq+GEUIwKaffWMHmZrj0UjKuvJw92aX86NqH+W29ViFTEoMxf8E1CsbIuVKhiKbqJg9YGfjjiwOel1KuEkJcDSClfBT4FvBjIYQXcAAXS+0v2CuEuBZ4G9ADT0kpt4/B76H4GnlxYz1J8XocHl+oaWgk3L1qN69t0T7YTctP4R9XLuLdnS14/ZIzZ+dHvGditol95uiF3uby8u1HP+PmM6dxwmQtFbjX3E1FbvKw1TQVucl8tKcVbDZ48EGtksbp5Llll/Lvs37A1adO5aq/bwKG8Z2PkovmF5NhjCc7OXLJp0IxWoaN6AMVM3MDXzOllH8IHH80IPJIKf8cODdXSrlISvlp2P1vSimnSCknBe9VHL502Ny8s6OZixcWkxCni9oXJpzGTgczC1O59azp7Gvt4YaXtvDG1iaKMpKYPSFyiWFFXjJVbT14ozQcq263saPJym2vbMft9VNp7uGLmk7mRjE9akaCl3PefwH/xIlw881w0klUfbieW46+kHOPKeH0GXnMLUrDoNeRlzr62veybBNXLZ0U0ylaCkU4yqZYMSJWftmAxye5eEEJH+9tO6DUTWu3i6NL0rnihInohOB3r2ttFT9aOnFQsZucm4LHJ6npsEc13Npi8wDaNKlnPqvm3R0tJBn0XHtKReQbPB6tRPKZZ7j81dfQedx0LzmRlJUr4bjjeHHVLvQ6wdlzCxFC8KeLj2Z3c3efaVAKxaGKEnrFiPjPF/XMKUpjan4KpVnGEQu9lJLWblcoT/79JWV8UtnG+7vMrJhdMOh9wZLISnNPVELfESj9LM82cddbu/D6JXddMJvs5LD8vMejGY6tXKl9tbZCbi7dP7iS77imcPk13+Db87Vagre+amJJRXbo/vJskxqyrThsUF43iqipNHezvdHK+UdprRDFAUOu4IZqNPS4vDg8PnICQq9Fx0fx2CXHMLdo8M7QSblD17f3p6NHa3j6wzdm4ZeSBWUZXDg/rABs1SqYNQtWrIDnn4dTToHXXoP6ekwPPcDewsmhISR2t5fqdjsL+tX3KxSHCyqiV0TNK5sb0Qk4e64WeZdkGrG7fbTb3H0j5SEIdrfmpvTmtlMS4zljZuRN2CDJCXFMSE8KuU8Cmq/Mnj3w1VewfTvs3w8TJ8KsWaRU9bCo1syxchr/+dEiyjKT0DU2aOmZZ5/VpjxNngwvvQRnnQWJvc8ThzZPNvimUhUQfDVYW3G4ooReERVSSl7Z3MiSiuyQSAfLAms77FELfXBSVM4QJY6DMTUzkeLXX4JX7tHEffdu8Hq1k3o9FBbCCy+A3883gW8C/OPXHBUXBz6fNtIPYMoUuO8+uPbaQY3HJuUks6tZe1MJllpGGlaiUBwOKKFXRMUXtZ3Udti57tTJoWNB58XadjvzSqJLa7QeiNC73fD00/zvbb8jo6UeWVSEOOooOPdcLf0yaxZMnaqJttMJe/Zw33820dRs4X8XpsPevdq5vDxYuBDmzYMoSizf2dGCy+tjn7kHnej9fRWKww0l9IqoeHVzAwlxOs6Y2TsKryijN6KPFnModROF0Dud8NRTcNddUFeHf8Zcfnj897n9sRspzhpkIzQxEebMYdM6O548P/zguKifLZxJOcn4AmMFK1t7KMk0khCnvOIVhydqM1YRFV/UdrKwPJOUxPjQscR4PXmpCSMS+tZuFwa9LmTkFRG3Gx54ACZN0oZqFxfDqlVUv/E+71ccy94oBoNY7O5BPeejIeR5Y+5hn9mm0jaKwxol9IqoaOpy9PGID1KaaRqx0OekJAzeHPThh3DUUZq3+5QpWvnjxx/DGWdQkat54OxtGV7oO2yjE/rgWMHdLd3sb7NFVdKpUByqKKFXDIvL66Otxx3Ri6U400jtCLpjzd1OsvunbaTUyh1POQVOPllL2bz2GnzwgXYs8KaQZownNyUhZE42GFJKLHY3GaMQeqNBq/L5cHcrbp9fCb3isEYJvWJYWrq0vHp+2sB2/5JMI81WJ05PdHbFrd0ucsIrdPx++PGPtXr2PXvg3nu1Usmzz454f0Vu8rBC3+3y4vFJskYh9KCVU26u6wx8r5qjFIcvSugVw9LYpVkRF0aI6EuytGPRmpu1drvITQ0Ivd8PV10Fjz0G118PVVXav0mDuziWZhlpsAz9Whab1hWbYRyl0OeYwr5XEb3i8EUJvWJYmgJCXxBhePX0Ai1vvr3ROuw6Hp+fDrtbi+il1DZan3wSbr0V7rkHDMMLc1GGkbYeNw734J8g2gNCP5ocPfRuyGYnG0gf5ZuGQnEwUUKvGJag93xBhNRNRU4ySfH6UIpjKNp73EgZqKG/4w549FG44Qb43e+GrWsPEtwQbujsG9X7/JJdzdqbjSVWQh+I4ieqaF5xmKOEXjEsTZ1O0pLiMRoGtl3E6XXMnpDGlvrhhT7YLHXMG/+A3/4WLrsM7r47apGH3nF79WGTrdp6XFz21Ocs/9NaPt3XRkeMhD5oeaBKKxWHO6phSjEsTV2OiNF8kLnFaTz9WQ1urx9D3OCxg7nbyRWf/4fpHzylbbb+5S8jEnnobdIKCn1Vaw8XP76OLocHvU7wSWVbqEZ/NFU3AFkmA1ccX86KQYahKBSHC0rojxCcHh8Pf1CJ3e1DrxdcflxZzEbTNXU5hxH6dNxr97O7uZvZkRwovV5YvZqKe//MqR+8hv38CzD+8x8QP0TT1CDkpiQQrxc0dGpC//LmRtp6XLz+0xO4eeVXbNhv4ejSdAx6HSbD6DpZhRDcevaMUa2hUBwKqNTNEcJHe1p5YHUlz62v5bE1Vfz9s5qYrd3U5aQgffA3jeDUps390zdSwuuvw4wZcMYZ5K1bwyPHfgv9C/+IauM1EjqdoDA9KRTR72nupizLxIzCVBaWZbC5rpPmLieZJoOa2KRQBIhK6IUQ1UKIr4QQm4UQGyOc/64QYmvg61MhxNxo71XEhj0B+96Nt57GvJJ01lW1x2Rdp8dHh81N4RARfVFGElkmA1vCN2Tr6jT733POoaHHw63fuY3F1z3LoyuuJCFhdCmVoowk6gMllntaupmSlwLAwvIs3D4/a/e2jTpto1AcSYwkdXOylLJtkHP7gROllBYhxArgceDYKO9VxIDdLT0UZSRhSohj0cQsHv+oCpvLiylhZNk5i61vR2lzoOImf4g0kBCCucXpmtBLCc89B9dei8vl5p5TruC1Ey7g+OkFnCIE80qHn9k6HMGOVafHR3W7jbPnFgKwoExz0OywuZlekDLq11EojhRikqMPHwYOrAOKYrGuInr2hkW2iyZm8fCH+9hUY2HplJyo16g0d3PGn9byxKXzOXlaLhDeLDX0EOy5Rels2lKF59sXEv/vl/AtWcLpMy9n7knHsPqC2SSP8A1nKIoyjJi7XWxvtOKXMDXwe6cbDUzNS2F3SzeZppH73SsURyrR5ugl8I4QYpMQ4qphrv0h8NYB3qs4ADw+P/tae0JCf0xpBnE6MeL0zepdZnx+yWtbGkPHmjoDNfRD5OgBTmzcxltPXov+lZfhzjvZ+fyr1GYUcOas/JiKPPTW0n+42wzA1Pze8seF5ZkAZBpHvtGrUBypRCv0S6SU84AVwDVCiKWRLhJCnIwm9DcewL1XCSE2CiE2tra2Rv8bKKhpt+HxSabkaYJnSohjTlHaiIX+k0rt+tW7zXh9fgCarYHUTeogEb3TCTfdxNzLv4kjPoFXH34Rbr6ZfR3aJ4GxGL8XrKV/f6cZg15HWZg3/YKA0KscvULRS1RCL6VsDPxrBlYCC/tfI4SYAzwBnCelbB/JvYHzj0sp50sp5+fkRJ9uUMDuZs3kKxjRg5a+2Vrfhc3ljWoNt9fP5/s7KMpIotPuYVONBYDGTgcZxniS+pcq+nzw9NOalfDddyOuvJLvX/sIH6WVAYzpVKaiwAjDHU1WJuUmE6fv/d94UXkmBr0uNOZQoVBEIfRCCJMQIiX4PbAM2NbvmhLgP8AlUso9I7lXMXr2tHSjE307OBdNzMLrlyHBHo7NdZ04PD7++/QpGPQ63t3RAgRr6Pulbbq6tIqayy/XxvOtXg2PPcbEsjx2BDxvKlt7KM0yjclUpryUBOJ0Wunk1Ly+nxhyUxNZ86uTOO+oCTF/XYXicCWaiD4P+FgIsQX4HHhDSrlKCHG1EOLqwDW3AVnAw/3KKCPeG+PfYdyzp6Wb0iwTifG9ojrSPP3HlW3oBJw6PY/Fk7J4d2cLUsqBzVJ79sCiRdpAkIcfhs8/1zzkgRkFqVSaewJzVm193B9jSZxeF7JMnpI/sLqmIC0JvU7V0CsUQYbdJZNSVgFzIxx/NOz7K4Aror1XEVv2tHQzuV8u3JQQx6ScZPZEMY0J4NPKNmYXpZOWFM/pM/K49eVtXPnMRnY2WTlxSg54PPB//we33w5GI7z3Hpx4Yp81ZhSm4vVLdjVpU5lOmjZ2KTitlt4RqrhRKBSDozpjD3NcXh/V7XamRohsy7NN7G8bXuh7XF4213WyZFIWAKdNz0MI+GhvG9ecPInrZqdqon7jjbB8OWzZMkDkQYvoAd7Z0TzmU5mCnjdTlNArFMOivG4OE7ocHnSCPsO5Aapabfj8kskRBG9ijon3d7Xg9fn7bFj2Z/UuM16/DNXc56cl8twPj6U400hxczUsPR6am+GFF+CiiwZdpzTLhNGg57UtTcDYDutYUJbB1vrOUAWOQqEYHCX0hwnXPv8FBr2OJy9f0Of4mj1aKeqMCJ2g5dkmPD5JvcVBWfbg+fIXN9YxIT2JhWVaaSL19Rz39GPwxhvw5ZfahuuaNbBgwaBrAOh1gmn5KXxRq1khVIyh0F+0oISLFpSM2foKxZGESt0cJlSae1hX1Y7PL0PH2ntcPPRBJSdNzaEiN3JED7C/zTbouvUWOx9XtnHh0QXoPlgN3/kOlJfDnXdCair8/vewadOwIh9kRqGWvslOTiBNNS0pFIcEKqI/DPD7JeZuFz6/ZHdzd0hM/9+7e7C7fdx61vSI95VnaxF1VZuNkwdZ+9+bGlhatYlrnv0x1Ndp4v7Tn8J110FZ2YifdUaBZlM8VhU3CoVi5CihPwxos7lCkfwXtRZmFKayq9nKPz6v5dLFZRGjeYAMYzxpSfGDbsj6XW6yfn8bT695AWbNgv+9D845Z8jh3MMRfBNSU5kUikMHlbr5GnB6fOxvs7G/zUa30zPi+81WV+j7L2q1Bqi/fLQfoyGOn582edD7hBCUZ5uoao2QuqmpoXvxEr635gX2f/N7Wj38hReOSuQBpuWnkJeawLETs0a1jkKhiB0qov8a+NHfN4U2TUuzjHx4/UkjGooRtArOS03gy9pOnB4fb29vZsWsfNKNQ3u6TMw28Vn/pqmXX0Z+//vEOdzc9l+38uunb4f42HSwJsbrWf/r02KylkKhiA0qov8a2NbQxZKKLC5dXEpNu51Kc3RNTEFaujWhXzGrgP1tNl7aVE+Py8v5Rw/f5j8xx0RTlxO72wsuF/zsZ/CNb9CcPYEVl93P8t/9rE9HrUKhOPJQQj/GWJ0e2m1ujq/I4coTJgKa3cBIaOlyIgQsm5EHaJuwuSkJLIoiPRLckK2pa9eanR54gJYfXs1J5/+eE5Yfy3EV2SP8jRQKxeGGEvoxpqZNG3lXnm2kONNIaZaRj/eOUOitLrKTEzi6RPOv6bC5OWduYVR+LuXZJuJ9HrIu/45WC//MMzxw1k8wGJO4+czI1ToKheLIQgn9GLO/XdsIDTYsHV+RzbqqdjwBv/doaLY6yU9NJMmgZ3rAZuC8owqjurfMJHjolbvJ/VhzmOSSS9jfZmNyXnLMB4IoFIpDEyX0Y0x1oFmpNLNX6G1uH5vDB2kPQ4vVSV6qNhpvxex8ji3PZPaEtOFvNJsxLl/GaZXr+fflN8KVVwJaA1UwpaNQKI58lNCPMdVtNgrSEkODO46blI1OwNoRpG80oddseX9yUgX//NHi4at23n1X62bdsoUHf3IXTx51FgB2t5emLmeoa1ahUBz5KKEfY/a32/qMukszxjO7KJ1PotyQdXl9WOyekNAPS1eXFrkvWwaJibBmDY6zzmWvuRu31091YM8g/JkUCsWRjRL6Maa6zUZZdt+xdsdXZGkTndy+Ye8PNksNOrM1nDffhJkz4amn4Fe/gs2bYcECZhSm4vFJ9pq7Q7435UOYnCkUiiMLJfRjSJfdg8XuGRA9T85NweeXNHQ6hl2jJTCcOzeQo4+I3Q5XX62N90tPh3Xr4O67Q12uMwO2BDsarSE7hP5vPgqF4shFCf0YUt2v4iZIcAxesON1KJoDQp+fNkhEv3Wrlot/7DG44YaITpNlWSaS4vXsaLJSFdgzMBpUxY1CMV5Qf+1jSFDo+6dJCgPDtpu6oonotdRNXko/oZcSHnoIrr8eMjLgnXfg9NMjrqHXCaYVpLC90YrX51dpG4VinBFVRC+EqBZCfNVv8Hf4eSGEeEAIUSmE2CqEmBd27jIhxN7A12WxfPhDnf1tNoSAksy+aZJgGiaaiL7F6sQQpyO9v7f7zTdrdsKnnqqN9htE5IPMLExlZ6MW0SuhVyjGFyNJ3ZwspTxKSjk/wrkVwOTA11XAIwBCiEzgt8CxwELgt0KIjNE98uFDdZuNwrSkAV4yifF6skwGmqzRCX1eakLfcsr33tNy8FdcAa+/Drm5w64zoyCNbpeXTrtHCb1CMc6IVY7+POAZqbEOSBdCFABnAO9KKTuklBbgXWB5jF7zkKe63T7opmd+WiJNw2zGurw+NtVY+n4iaGuDSy+F6dPh/vshShfMoE88oGroFYpxRrQ5egm8I4SQwGNSysf7nZ8A1IX9XB84NtjxQ4Kadhs//ceXOD0+4vU67vnWHGYWRtFxGiV1HXaWzcyLeK4gLYl6i33I+5/+tJp6i4M7vzFbO1BfDxdcAO3tWimlMfrKmWn5KegE+KWqoVcoxhvRRvRLpJTz0FI01wghlvY7HymslEMcH4AQ4iohxEYhxMbW1tYoH2t0vLfTzNb6LsqyTOxu7uaNrU0xW9vp8dFuc1OQFnmQR0FaYqiiJhJtPS4efL+SU6blsnRKDnzyCRxzDOzcCf/6Fxx11IieJzFez6ScZPQ6QXGmKq1UKMYTUQm9lLIx8K8ZWImWbw+nHigO+7kIaBzieKTXeFxKOV9KOT8nJye6px8lX9V3kp+ayOOXzmdmDerg+AAAEA1JREFUYSobqy0xWztY/14wSFlkfloinXbPoE1T/+/dPTg8Pn595nRt+tMZZ0BaGqxfD+edd0DPtLA8kxkFqcTrVVWtQjGeGPYvXghhEkKkBL8HlgHb+l32KnBpoPpmEdAlpWwC3gaWCSEyApuwywLHDgm21ncxp0hL1cwvy2RLfSdub/SukkPR2KkJfWH64BE9RC6x3NVs5YXPa/neolIqLA1w5pnahuuaNTBjxgE/023nzOCFqxYd8P0KheLwJJrQLg/4WAixBfgceENKuUoIcbUQ4urANW8CVUAl8BfgJwBSyg7gDmBD4Ot3gWMHnS6Hh6o2G3OL0wGYX5qBy+tnW2NXTNZvtmoCPlij02BNU1JKfv/6TlIS47nevRuOOw70eq1OvqBgVM+UEKfHpKyJFYpxx7B/9VLKKmBuhOOPhn0vgWsGuf8p4KlRPOOYsK1BE/Sg3e8xZVrV58bqDuaVRF8B6vT4ePOrJs6dW0hcWEokGNEPlrrpbZrqK/Srd5n5ZK+ZV+tfJ/n2x+Hoo+Gf/4SKiqifSaFQKMIZt8naLfWaH3wwdZObkkhplnHEefp3drTw3//awiub+249NHc5SUuKH9RqIBTRh23I+v2SO1/bzoNrHmP284/Dj38Mn30GkyeP6JkUCoUinHEr9FvruijNMpJuNISOzS/NZFONBe0DSnRUtnQD8Je1VX3ua+pyDBrNg1YFk2GM75Ojb2rv5kfP/pGz178Bt9yiWRwkDGFmplAoFFEwfoW+vpM5Rel9js0vy6Dd5g5Z+UbDvlbt2l3N3X2Gfjd2OgfdiA2Sn5ZEUyDFQ00N6ctP48Kv3qPqmuvhjjuiboZSKBSKoRiXQt/a7aKxy8ncor7NUfNLA3n6mujTN5XmHk6YnE1OSgKPf1QVOt5sdQ7uOBmgMC2RuN274Je/hLlzSdi9k5+cdxPdN96iRF6hUMSMcSn0W0P5+b4R/aScZFIS4viqPrrKG59fsr/NxoyCVC4/roy1e9vY1WzF6fHRYXNTOJTQf/opNz7wCx6761J48EE4/XTeevoN3px2PDkpKl2jUChix7gU+h2NVqCv/wuATicoyzaF7IWHo95ix+3zMyknmf9aWIIQ8Pa2llDJZH6krtjaWvjGN2DJEoqrdnDP0ktx7q+BF1+kOl0rn8xKNgy8T6FQKA6QI1rorU4PTs/AztNdzd2UZhlJjlBTPhKhrzRr05om5SaTaTIwLT+V9fvbaQxssPaJ6D0euOcezYzs7bfhD39g1evreHjxhTQnaG84rT0u0pLiSYjTD3gthUKhOFCOaKG/5In1fPORT7G5vH2O72y2Mi0/JeI95VlGGiyOqDpk97UGhD7gBnlseSZf1FqobdfMygqCm7Fr12r18DfeCKedBjt2wK9/TX5BFgD1Fu2NobXbpdI2CoUi5hyxQu/1+dnRZGV7o5WfvbAZn18rfXS4fVS32ZiWnxrxvrJsE34JtR1DO0sC7DPbyE42hEo0F03MxOnx8/b2ZgDyXd1w+eWwdCn09PD/27v34KiqO4Dj319e5AGBJEvkkcAmKM+KoBRlrC0KZXSsFLXOYIt0qrRjWzva/uFgp1NtdVrG1qnj2GnLtI7t+JqqYwGrMqWA2kq1PALhJRCgvEkC8kggD8Kvf9yzYRN2N9nkJtnc+X1m7uTufc35Zff+9uy5557LsmXeFA4DUFrofRFERrGsOdvI0IGW6I0x/gpsoj9w8hzNLcr1ZYWs2nGcX638FIDd1We5qDBheOwafeT5rvs70cVyT00d5UMHtr6eXlbEgAtNnF77L55Z9Vtyxo6Bl1+GxYth2zaYO7fN/sPys0lPEw66RF9b10jIavTGGJ8FduCTSP/2xbeN58WP9vPnj/bzyOyr2HnUu8EpXo2+zI3V3lE7vaqy7+hpHsw6Bo+/B5WVFG7bxvbde0jXizRkDoCFC7xnuo4fH/MYGelpjBiS3bbpxmr0xhifBTbRR18onTd1JMsqjvDxvpPsOHaGnMz0y57jGjEkN5P87IzLE72q98CPgwdh61aalq1gzdvvMLixHtLSvLFoJk3iw2tm8mbDYGTOHJ57aHaH5SwtyOXgyXOca7pAfVOLtdEbY3wX2ERfVVNH8aAB5GdnMqO8iJzMdFbvOM6u43WMHTaItLTYNySJCGWhPPbXtmujX7QIXrg0NpuEilk5dgYTv/11PvfNuyHf+4VQv+UoK17ZyIKS2E+Waq+kIIc1n9ZQe7YJgJB1rTTG+CywiX5PdR1jXPt5dmY6N14ZYtWOas43tzBnYuIkHA7lXT642T33wOTJUFoK5eW8eCqPX7y3i/Xfmg1RzS3XlxeSniaMLuzc4/pKC3KpOdvY2k5vNXpjjN8CmehVlaqaOuZNufR42lkTilm14zhA3K6VEeGiPJZvPkJDcwvZma5P+623epNT8fIGSgpyCLVrUw8NHMDyh26kLNS5RF/iet5UHPTu1rVEb4zxWyB73dScbeRsw4XW/u0AN48rbp0fPzz2hdiIslAeqt7DveOpOHCKKaVDYq6bNGJw3OGJ2yst8K4VbDrgEr1djDXG+CyQiX6Pu5HpyuJLNfdhg7OZ5IY86LBGH+lieSJ2oq8+08CR0w1xE30ySloT/WeIQGGetdEbY/wVyERf1drjpm3zyX03jGb2hOI2Y9DHEi7ykm+8vvSbXDPL1FHdT/TFgwaQlZHGifomCnOz2jylyhhj/BDINvqqmnrystIZlt929Mj500cxf/qoDvcfkpvFkNxM9sXpS19x8BQZacKkEYNjrk9GWppQMiSHvbX11j5vjOkRna4+iki6iGwSkbdjrPuNiFS4aZeInIpa1xK1brlfBU9kd/VZxhQPRLoxpnu4KK9Njf7dyqP8+K1KWi4qFQdOMWF4/qULtd00ssC7IGuJ3hjTE5Kp0T8M7AAuu5Kpqj+MzIvID4CpUavPq+qULpcwSZ/VN/HJvpPcd0O4W8cpC+Xx8d4Tra/f3HiYVTuOU5ibReXh09w5dWSCvZNT6m7eat+Dxxhj/NCpGr2IlAC3A3/sxOb3Aq92p1DdsXzzEZpblK9dV9Kt44SL8jhyuqF1mON9tXWkCTy/Zg91jRd8uRAbUWI1emNMD+ps082zwKNAwrF7RWQ0UAasjlqcLSLrReQ/IjIvwb7fcdutr6mp6WSxLvfGhkNMGpF/2UNFkhUOebXsAyfPcaHlIgdOnmPhjHBrj50pPlyIjYh0sbSulcaYntBh042IfAWoVtUNIjKzg83nA2+oavTTPkap6hERKQdWi0ilqla131FVlwJLAaZNm6adjiDKzmNnqDx8msfvmNiV3dsIu8HN9tXWk5WeRnOLMmlEPotuKmP1zmrKO3lDVGdExt0pzrdEb4zxX2dq9DcCc0VkP/AacIuIvBRn2/m0a7ZR1SPu715gLW3b7331xvpDZKYLX53S/fbz6OGK99Z63TXLh+ZRUpDLwhnhbl3obW9yyWCW3HU1cyYO8+2YxhgT0WGiV9XHVLVEVcN4iXy1qi5ov52IjAMKgHVRywpEZICbD+F9aWz3qextNLdc5G8Vh5k1/gpfbjoanJNJYV4W+0/Us9cNeVweGtjBXl0jIsyfPoqcLHuEoDHGf13uRy8iPwfWq2qky+S9wGuqGt3sMgH4g4hcxPtSWaKqPZLoWy4qD8+6inFxxpnvinBRLvtq6xERhuRmUmB3rRpj+qGkEr2qrsVrfkFVf9pu3RMxtv8IuLrLpUtCdmY6980I+3rMcCiPdVUnEKTTg5QZY0yqsfvtEygryuPo6QZ2HjvTY802xhjT0yzRJzDa1eI/O9dM+VCr0Rtj+idL9AlEnh8L+Nqd0hhjepMl+gQiN00BlFmN3hjTT1miT2BQdiahgVmIXLqByhhj+ptADlPsp3BRHgMy0n0bqdIYY3qbJfoOfO/mMZw5f6Gvi2GMMV1mib4Dt4y/oq+LYIwx3WJt9MYYE3CW6I0xJuAs0RtjTMBZojfGmICzRG+MMQFnid4YYwLOEr0xxgScJXpjjAk4aftAqNQgIjXA//q6HAmEgNq+LoRPLJbUFaR4LJaeN1pVh8ZakZKJPtWJyHpVndbX5fCDxZK6ghSPxdK3rOnGGGMCzhK9McYEnCX6rlna1wXwkcWSuoIUj8XSh6yN3hhjAs5q9MYYE3CW6B0ReUFEqkVka9Sya0RknYhUisgKEcl3y8Micl5EKtz0+6h9rnPb7xGR50RE+mMsIpIrIn8XkZ0isk1ElvR2HH7F0u54y6OP1Zt8/IxlichSEdnl3p+7+3Es97rtt4jIeyISSuVY3LrJbt02tz7bLe/zcz8uVbXJa776InAtsDVq2X+BL7n5+4En3Xw4ert2x/kEmAEI8C5wW3+MBcgFbnbzWcCH/TWWqP3uAl5JtE1/iAX4GfCUm08DQv0xFrwHH1VHyg88DTyR4rFkAFuAa9zrIiDdzff5uR9vshq9o6ofACfbLR4HfODm/wEkrDmJyHAgX1XXqffO/wWY53dZO+JHLKp6TlXXuPkmYCNQ4nNRO+RHLAAiMhD4EfCUrwVMgl+x4CWeX7pjXlTVXr95x6dYxE15rvabDxzxs5ydkWQsc4AtqrrZ7XtCVVtS5dyPxxJ9YluBuW7+HqA0al2ZiGwSkfdF5Ca3bCRwKGqbQ25ZKkg2llYiMgS4A/hnzxezU7oSy5PAM8C5XipjZyUVi3svAJ4UkY0i8rqIpMrzLpOKRVWbge8ClXgJfiLwp14sbyLxYhkLqIisdP//R93yVD73LdF34H7g+yKyARgENLnlR4FRqjoVr5b4imvDi9UmlyrdmpKNBQARyQBeBZ5T1b29XOZ4kopFRKYAV6rqW31T3ISSfV8y8H5Z/VtVrwXWAb/u/WLHlOz7komX6KcCI/CaRB7r/WLHFC+WDOALwDfc3ztFZBapfe7bw8ETUdWdeD/VEJGxwO1ueSPQ6OY3iEgV3jf9Ido2b5TQBz9FY+lCLOvdrkuB3ar6bK8XOo4uxPJ54DoR2Y/3mS8WkbWqOrP3S99WF2LZgPerJPKl9TrwQC8XO6YuxCJuWZXb56/A4t4v+eXixYJ3jr8faS4TkXfw2vdfIkXPfbAafUIiUuz+pgE/ASI9UoaKSLqbLweuAvaq6lHgrIjc4NocFwLL+qTw7SQbi3v9FDAYeKQvyhxPF96X36nqCFUN49XCdqVCkocuxaLACmCmO8QsYHsvFzumLnzGDgMTRSQyENeXgR29Xe5Y4sUCrAQmi9crLQP4ErA9lc99wHrdRCa85omjQDPet/YDwMPALjct4dINZncD24DNeBcp74g6zjS89r0q4PnIPv0tFrwaieKdeBVuWtQfY2l3vDB91+vGr8/YaLwLhVvwrpuM6sexPOg+Y1vwvsCKUjkWt/0CF89W4Omo5X1+7seb7M5YY4wJOGu6McaYgLNEb4wxAWeJ3hhjAs4SvTHGBJwlemOMCThL9MYYE3CW6I0xJuAs0RtjTMD9H4fOuIw1uc5iAAAAAElFTkSuQmCC" alt="">

19
#红线表示滚动平均值。从原级数中减去这个。注意,由于我们取最后12个值的平均值,所以前11个值没有定义滚动平均值。这可以观察到:

ts_log_moving_avg_diff = ts_log - moving_avg
ts_log_moving_avg_diff.head(12)
19
Month
1949-01-01 NaN
1949-02-01 NaN
1949-03-01 NaN
1949-04-01 NaN
1949-05-01 NaN
1949-06-01 NaN
1949-07-01 NaN
1949-08-01 NaN
1949-09-01 NaN
1949-10-01 NaN
1949-11-01 NaN
1949-12-01 -0.065494
Name: #Passengers, dtype: float64

20
#注意前11位是Nan。让我们删除这些NaN值,并检查这些图以测试平稳性

ts_log_moving_avg_diff.dropna(inplace=True)
test_stationarity(ts_log_moving_avg_diff)
 
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" alt="">
 
Results of Dickey-Fuller Test:
Test Statistic -3.162908
p-value 0.022235
#Lags Used 13.000000
Number of Observations Used 119.000000
Critical Value (1%) -3.486535
Critical Value (5%) -2.886151
Critical Value (10%) -2.579896
dtype: float64

 
这个级数看起来好多了。滚动值似乎略有变化,但没有特定的趋势。同时,检验统计量 小于5%的临界值 所以我们可以有95%的信心说这是一个平稳序列。

然而,这种特殊方法的缺点是必须严格定义时间段。在这种情况下,我们可以取年平均水平,但在预测股票价格等复杂情况下,很难得出一个数字。因此,我们采用“加权移动平均”,即赋予较近期值较高的权重。可以有许多技术来分配权重。

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#一种流行的方法是 指数加权移动平均法,它将权重分配给所有具有衰减因子的先前值。在这里找到详细信息。这可以在panda中实现为:
expwighted_avg = pd.DataFrame.ewm(ts_log, halflife=12).mean()
plt.plot(ts_log)
plt.plot(expwighted_avg, color='red')
#注意,这里使用参数“半衰期”来定义指数衰减的数量。这只是一个假设,主要取决于业务领域。其他参数,如跨度和质心也可以用来定义衰减,这是讨论在上面共享的链接。
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[<matplotlib.lines.Line2D at 0x1c2661c550>]
 
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" alt="">

27
#现在,让我们把这个从级数中移除,并检查平稳性:

ts_log_ewma_diff = ts_log - expwighted_avg
test_stationarity(ts_log_ewma_diff)
 
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" alt="">
 
Results of Dickey-Fuller Test:
Test Statistic -3.601262
p-value 0.005737
#Lags Used 13.000000
Number of Observations Used 130.000000
Critical Value (1%) -3.481682
Critical Value (5%) -2.884042
Critical Value (10%) -2.578770
dtype: float64

 
#这个TS在平均值和标准差上的变化更小。同时,测试统计量 小于1%的临界值,优于前一种情况。注意,在这种情况下,不会缺少值,因为从一开始所有的值都是给定权重的。所以即使没有之前的值,它也能工作。
 
No output

 
消除趋势和季节性

前面讨论的简单趋势减少技术并不是在所有情况下都有效,特别是那些具有高季节性的技术。让我们讨论两种消除趋势和季节性的方法:

差分-在特定的时间间隔内进行差分
分解——对趋势和季节性进行建模,并将它们从模型中移除。

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#差分处理趋势和季节性的最常见方法之一。在这种方法中,我们取某一时刻的观测值与前一时刻的观测值之差。这在提高平稳性方面很有效。一阶差分可以在 Pandas 中运行:

ts_log_diff = ts_log - ts_log.shift()
plt.plot(ts_log_diff)
28
[<matplotlib.lines.Line2D at 0x1c26ac1a50>]
 
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" alt="">

29
#这似乎大大降低了趋势。让我们用我们的图来验证:

ts_log_diff.dropna(inplace=True)
test_stationarity(ts_log_diff)
#我们可以看到,平均值和std随时间的变化有很小的变化。此外,Dickey-Fuller检验统计量小于10%的临界值,因此TS是稳定的,有90%的置信度。我们也可以采取二阶或三阶的差异,这可能在某些应用中得到更好的结果。我把它们留给你去尝试。
 
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" alt="">
 
Results of Dickey-Fuller Test:
Test Statistic -2.717131
p-value 0.071121
#Lags Used 14.000000
Number of Observations Used 128.000000
Critical Value (1%) -3.482501
Critical Value (5%) -2.884398
Critical Value (10%) -2.578960
dtype: float64

30
#分解:
#在这种方法中,趋势和季节性分别建模,并返回系列的其余部分。我将跳过统计数据,来看一下结果: from statsmodels.tsa.seasonal import seasonal_decompose
decomposition = seasonal_decompose(ts_log) #趋势
trend = decomposition.trend
#季节性
seasonal = decomposition.seasonal
#残差
residual = decomposition.resid plt.subplot(411)
plt.plot(ts_log, label='Original')
plt.legend(loc='best')
plt.subplot(412)
plt.plot(trend, label='Trend')
plt.legend(loc='best')
plt.subplot(413)
plt.plot(seasonal,label='Seasonality')
plt.legend(loc='best')
plt.subplot(414)
plt.plot(residual, label='Residuals')
plt.legend(loc='best')
plt.tight_layout()
 
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47PxzzP97I+rIGXrgyj8yDHlQ1GTypcua9upo/fFBIYqShx2armmYbNqebJLOBbVUt/HrxWsYkRfLClROoabHTbHWSGh1GSnTYYZva2vjdrBEUlzdy75INhOu1zBydyDWvrmZTRSOXTBzM5MwYrA437+XvYfXOWv55yThijPqj/kwALp6QSqvDxQ+lVTxyYecmNZMhhD+eNYo/njXKJ7baSI8zsujGKZTXtzJrTKJ6UN5HiN6O4w8UEydOlAdPWLhp0yZGjx7dTyU6OlwuFw6HA4PBwLZt25g5cyYlJSXo9b75U3bHQP68fI2Ukj21rTjcbr9kHWjj/fw93P1BIZedMJgzsgaxbHMlb6zcxdnZg/jXZeOPOsmozenCYnPxWdE+7l2ygZunZfJ/5/T8HTdaHfzi+ZWU17fy/q0ntnekt9ic/PHDQlbtqG3PmO2pyD31wdJfTSUlKuyoytpqdzHvtZ9ZvbOO4QkRlFY288KVE5g1JrHTcRa7s8cmQ8XxgRCiQErZpXVN/SoChMViYcaMGTgcDqSUPP/8834VJ4WHBouDv325mW82VVLeYEWv1fD2jZO7PHzpC1ZsrebeJRs4ZXgc82dnE6LVMGNkAkNijTz0yUb+8EEhT/wit1dTF9idnhQ4K7fXYLE7cbgO3FBOyYzh7jNHHvL8SO/DnRc+9yM3vJ7PR7+aSoxRz/yPN/LfDRVcOC6FMcmR6HUa1u2pZ1tVC38+b/RRixN4csgtvGYSV7/yM2t21/HkL8d1ESdAiZOiR9QvI0CYTCY1hX2A+XlHLXe9s5bKJhtnZCVyc0Ysr6/YyU1v5LPktpNJ92GfwM87arn+9Xwy4ow8c3lep6aw66dmYLE5+ftXJYTptTw8J/uIm4Ae+e9GPi/exy8mpBJnCiUiVEe4XovJEMKZWYlHFJElR4Wx4KqJ/OLFldz2dgGXTx7Cu/l7uO3UofyhQ1PX1Sf23u/DYQzV8fYNk9lTa/HLsHfFsc2AE6iehnkrOhOsTbcAu2paWPjDDnZUt/DMZXmYw/v2YGlFQyvr9zRgCNEQEapj5CATJkMIZXUWnl22jXdX72ZwTDgf3noSuYM9mTqmj4jnwud+ZN5rq/n3rScR3ct+j9oWO60OV6cII39nLfNe/ZmkKANv3TC52wdlf3XaMCwOF88v30ZYiJb7zh3d5Xe8o7qFBd9tZ2tlE9NHxGMI0fL6yl3ceEoG9507pg+f0AFyB0fx14ty+M276/lpey25qWZ+M2vEUV3zSDGEaJU4KfrEgBIog8FATU2NmnLjMLTNB2Uw+ObpcV9RsKuWBd9t58uN+9FpBFLCr99ZyyvXTur1CCqny801r/xMyf4D0x5oBAxLiGBHdQsCwVVThvD7M0d2Gk2VHmdkwdUTueLlVVz9ys89Ckp3uNySS15cSWllMyMSIxibGsX6PfWUVjaTEWdk8Y1TenxAVAjBH84cicXm5OUfdhAequO3XoGwOlzc++8NLFm3lxCthmHxETzxZQkAkzNifNahf+H4VLZWNrP45z08den4Ix7woFD0FwNqkISaUffICaYZdffWt3LHojWs2V2POSyEK6ekcc2J6fxvUyX3LtnAracO7XUl/MbKnfx5aTEPz8lmdFIkDa121u9pYN2eeobEhnPL9KEkH6IfZdnmSm56M58xyWbevL77+XAO5tMNFdz29hounTSY3bUWNlY0MjY1ipOHxnLRhNQjegDT7Zb88cNC3i8o456zR3H91AxufWsN/9u0n5umZXLDKRkkmAzsa7Dy49ZqZo5OICrct32VTpfbrzPCKhS9padBEgNKoBQDD7dbcvnLP1G0t5E/nDWSiyekduoUv3fJBhat2s382VlcNWXIEUXG9RY7pz6xnNGDPOle+hpNf7VxP7e+VcDE9Gjeun5ye6UtpaS2xU5ZXSsaIchJNSOl5Lx//UCr3cVXv53e52dmwBOJ3fnOWj4prCA7JZKivY08NDuLqwKYQkahCCbUKD5FJ1rtLh74qKi9iSwuIpQ/njWyz30FLrfE6XZ3mY76jZU7+Wl7LX+9KIdLJqV1Oe/B87PY12Dlz0uLKdrbwPzZ2Z0ebK1stLK+rIGaZhv1rQ6k9DQVNrY6+PP5Y46qqXfWmEQe8z7U+fTXpfz2jJGU17cy79XVnSbFmzs+hVNHJVBc3sjjF489KnECz0OhT14yDqvDxf82VfLHs0YpcVIoukFFUMchFruT61/L56cdNZw8NA6NRlBYVo/F5uKuWcO56ZTMXjUBrdpew71LNrC3vpXrTs7gllOHEmkIYWd1C2c99R1TMmN59dpJPYqJyy156n8lPP3NVnJTzSy8dhJxEaFs2dfEJQtWUm/pOhldX5oFe+L376/nwzVlPDY3h399s5UGi4NfzxxOepyRDXsbeHbZVlxuSbLZwPK7Z/jsgVu7003J/qYes3QrFMcLqonvOGJPrYXN+5o4fXRCJ1FwuSWFZfU8+ukmCnbV8Y9fjmPOeE/KpKomG3/6TxGfF+/j3LFJ/OvS8Yd9XmfzvkYWfLudf6/dS2p0GGNTzXy6YR8mgw5DiJaaZhsRoTq+/M30I5q584vifdz5zloSTAb+MjuLu98vRKuBpy8dz+CYcKLCQ9B4/fFl+iCL3ckFz/zI1spmzGEhvHn9CYxNPTA/17o99Tz0yUauOSndL9mhFYrjHSVQQc63JVUU7KoDINKg45JJgzuNPjtS7E435/3re0r2N3Pu2CQem5tDbYudl77fzqcb9lHbYkev1fCPS3I576DElVJKXvh2O3/9fDPzTk7nz+d1bkJzuyUllU38tK2GLzfuZ8W2GgwhGq45MZ07Tx9OuF7HhrIGXluxE51GkBAZyhljBrVPl30krN1dx/Wv51PbYifGqOe9m6d0maTOH5Tub+Kvn2/mt7NGHjbXnEKh8C1BIVBCiJ1AE+ACnN0VqI3jSaC+2rifm9/Mp+OM1YmRoTxwfhZnZw/qVT/Lc8u38vjnW5gzLpmPCyuIDtdT22JDp9FwVvYgZo5OYPqI+B5Hhkkpmf/JRl79cSd/OGskt506DPCkxrn6lZ/bRTQtJpzLTkjjshMG+3yU2Y7qFv7xVQm3TM9sn4BNoVAcuwSTQE2UUlYf7tjjRaAKy+q55MWfGJ4YwTs3TSFcr2Pt7jruW1LExopGbp6eyf+dfWT59HbXWJj15LecOjKeF6+ayOqdtfzjyxLGDjZz/ckZJBzhrJput+TOd9fx8fpybp6eye9mjeSmN/P5vrSa+84ZzawxiQyOUbP5KhQK36AE6giRUvJBQRmrdtQCEK7XctO0zPa0/L6kstHKuf/6Ab1Ww5LbT+r0kKfT5ebeJRt4v6CM924+scfccS63ZH1ZPcs2V/LR+nKqm2z873fTSTIfXS41l1vywEdFvPXTblKiwthb38pjc3O49ISuI/EUCoXiaAgWgdoB1OFJmfyilHLBQftvAm4CSEtLm7Br166AlQ08T/T/eWkR7+WXERcRSqhOQ3WzDb1OwyMX5vSpg3xDWQOfbCjn7OwkclPN7c11UkpufMMTlXx8x1RGdDO8u8Xm5Mx/fkeIVsOnvz6FMP2BgQFFextY+MMOvi2porbFjkZAXlo0t80Yymmjuibk7AtSSl78bjuPfbaZO2cOD1hqHIVCcXwRLAKVLKUsF0IkAF8Bd0gpv+vuWH9EUG63ZFtVM8lRYRgPmhCtptnG9a/ns25PPb8+bRh3nT4CjUawp9bCne+sZc3ueq47OYM/ndc1h1pPbCxv5NIFK2m0OgEYGm/krtNHcH5uMh8WlPG799fzp/PGcP3UjB6vsWJrNZe/vIobpma0T+hmsTuZ8cRyWu0uThuVwIxRh+5XOloaLI4+58tTKBSKwxEUD+pKKcu9r5VCiCXACUC3AuVrXG7Jrxev5b8bKhACMuOMzB6Xwo2nZFJrsXPVwlXsrWvlhSvzOCs7qf28wTHhvHfziTz0yUZe+XEHg8yh3DRt6GHtba1s5qqFqzCG6nj35hNZv6eeN1bu4o7Fa/mksJwV22o4IT2GeSelH/I6Jw2L44rJaSz8cQdTh8dx6sgEXvpuB/sbbXx464lMGOL7aSMORomTQqHoDwImUEIII6CRUjZ5188A5gfCdlv+s/9uqODmaZmE6bWe54C+KmHRqt0IAc02J2/d0P08QTqthgfOz6K62c6jn24mNTqcc3KSurHkYdmWSu56Zx0hWsHbN0wmMz6C0UmRXDwhlRe/284//1eCTqPh8YvHHtHcQPefO4aCXXX85t11vDrvBF78bhvn5AwKiDgpFApFfxGwJj4hRCawxPtWByySUj7S0/G+aOKTUrJyWw3Pf7uN70uru/SjrN5Zy8OfbKS8wcpr8yYddkiz1eHi8pd+ori8kcU3TSEvLRopJU9+VcIXxfvJSokkXK/l7VW7GTUokuevyOt2zqFtVc202l29yiCwo7qF8//1AzanC4CvfjPdp/MZKRQKRX8RFH1QveFoBWpvfSvXv7aazfuaiDXqufXUoVw/NaNL/5GUEpdbHnFqn5pmG3OfX0Gz1cm/bzuJTwor+NsXWxibaqa83kp1s42LJ6Ty8Jxsn2Y7gAPZtK87OYM/n3908wMpFApFsHDcCZTT5eamNws4K2sQF4xL9qlYbK9qZu7zK9BpPKP8Zo9L5slfjmtvKuxLBogjpXR/ExlxRjVdgkKhOGY47gTK36zeWcsVL69ickYMC6+Z5LMEogqFQnG8ERSj+I4lJqXH8MMfZxATrlfRjEKhUPiBoI2ghBBVQGCf1PUdccBhs2UMcI4HH0H5eayh/AxOhkgp4w/eGLQCNZARQuQfKhHuscDx4CMoP481lJ8DC9U2pVAoFIqgRAmUQqFQKIISJVD+YcHhDxnwHA8+gvLzWEP5OYBQfVAKhUKhCEpUBKVQKBSKoEQJlEKhUCiCEiVQR4AQ4hUhRKUQoqjDtlwhxEohxAYhxMdCiEjv9nQhRKsQYp13eaHDORO8x28VQjwtjnRiqQDhCz+FEOFCiP8KITYLIYqFEI/1lz894avvs8O5H3W8VjDgw9+sXgixQAhR4v1OL+oPf3rCh35e5j2+UAjxuRAirj/86Yne+OndN9a7r9i73+DdHtR1UBeklGo5zAJMA/KAog7bVgPTvevXAQ9519M7HnfQdX4GTgQE8Blwdn/75ms/gXBghnddD3x/LPrZ4by5wKJDHTOQfQT+AjzsXdcAcf3tm6/9xJNRp7LNN+Bx4MH+9u0o/NQBhUCu930soPWuB3UddPCiIqgjQHpm/a09aPNIDky2+BVwyDtLIUQSECmlXCk9v5Q3gDm+LuvR4As/pZQWKeUy77odWAOk+rioR4Uv/AQQQkQAvwUe9mkBfYCvfMRT8f0/7zXdUsqgyk7gIz+FdzF6I4pIoNyX5TxaeunnGUChlHK999waKaVrINRBB6MEqu8UARd4138BDO6wL0MIsVYI8a0Q4hTvthSgrMMxZd5twU5v/WxHCBEFnA987f9iHjV98fMh4O+AJUBlPFp65aP3+wN4SAixRgjxvhAiMYDl7Su98lNK6QBuBTbgEaYxwMIAlrev9OTnCEAKIb7wfm9/8G4fcHWQEqi+cx1wuxCiADABdu/2CiBNSjkez931Im/bcHdtvQNhjH9v/QRACKEDFgNPSym3B7jMfaFXfgohxgHDpJRLur9cUNLb71KHJ/r9UUqZB6wEngh8sXtNb7/LEDwCNR5IxtM89n+BL3av6clPHTAVuML7eqEQYiYDsA5S2cz7iJRyM55QGiHECOBc73YbYPOuFwghtuG5oymjc1NXKkHWjNAdffCzbY6UBUCplPKfAS90H+iDn5OACUKInXj+RwlCiOVSylMDX/ojow8+FuCJDttE+H3g+gAXu9f0wU/h3bbNe857wD2BL3nv6MlPPHXNt23NsUKIT/H0X73FAKuDVATVR4QQCd5XDXA/0DaKLV4IofWuZwLDge1SygqgSQgxxdvOfTWwtF8K3wt666f3/cOAGbirP8rcF/rwfT4vpUyWUqbjuUstCWZxgj75KIGPgVO9l5gJbAxwsXtNH36ze4ExQoi2bNqzgE2BLndv6clP4AtgrPCMqNUB04GNA7IO6u9RGgNhwdNUVQE48NydXA/cCZR4l8c4kJXjIrysXtIAACAASURBVKAYWI9ngMD5Ha4zEU+78TbgmbZzgmXxhZ947soknj/4Ou9yQ3/75o/vs8P10gm+UXy++s0OwdMRX4inLzGtv33zk5+3eH+zhXhEOba/feurn97jr/T6WgQ83mF7UNdBBy8q1ZFCoVAoghLVxKdQKBSKoEQJlEKhUCiCEiVQCoVCoQhKlEApFAqFIihRAqVQKBSKoEQJlEKhUCiCEiVQCoVCoQhKlEApFAqFIihRAqVQKBSKoEQJlEKhUCiCEiVQCoVCoQhKlEApFAqFIigJ2vmg4uLiZHp6en8XQ6FQKBQ9IOl+FsTeUlBQUC2ljD94e9AKVHp6Ovn5+Yc/UKFQKBQ+welyU2dxUNNio7bZTnWLndpmGzUtds/SbKO2xU5Ns+d9Q6uDn++dSUKk4ajsCiF2dbc9aAVKoVAoFL7D6nCxr8FKeUMrFfVWKhpaKW+wUlHfSkWDlf2NVupbHXQ3A5NGQIxRT6wxlBijnjHJkcQa9cRGhKLX+a+nKKACJYSIAl4GsvFEh9dJKVcGsgwKhUJxLOF2S/Y1WtlVY2F3bQu7aizsb7RRZ7FT22Jvf22yOrucG2PUk2Q2kBodzsT0aGKNocRF6IkxhhIboW8XIXNYCFqNLxrzekegI6ingM+llBcLIfRAeIDtKxQKxYCi2eakov5AtNMx6ilvaKWsrhW7091+vE4jSDCFEhOhJzpcz5DYcKLDPWKTFBVGstlAUlQYSWYDhhBtP3p2eAImUEKISGAacC2AlNIO2HtzDYfDQVlZGVar1fcFHAAYDAZSU1MJCQnp76IoFAofYHW4qDhIeMobPM1vFfUeATo48hECEkyhJJnDGDXIxKzRiaTFhjMkxsiQ2HCSzAZ02mNjgHYgI6hMoAp4VQiRCxQAd0opW9oOEELcBNwEkJaW1uUCZWVlmEwm0tPTESLw4WZ/IqWkpqaGsrIyMjIy+rs4CoXiEDhdbhqtThpaHVQ32yivb6W8rd/H+1rRYKW2pes9eluz2+CYcCZnxpBkDiM5ykCS2RP1DDIbCDlGBOhwBFKgdEAecIeUcpUQ4ingHuBPbQdIKRcACwAmTpzYpavOarUel+IEIIQgNjaWqqqq/i6KQhHUSClptjlpdbhwuiROl8ThdnteXW7v4lm3u9w4nN5Xlxubw02zzYnF7qLF5qTF7qTV7sbpPb/t1eGWOF1unB1eHS5Js81BvcXRbX8PgMmgI9kcRlKUgbGpUe3NbQOp2S2QBFKgyoAyKeUq7/sP8AhUrzgexamN49l3xfGNlJLaFjv7Gj2jzfY12DzrDVb2N1mpszhobHVQb7HTaHXicnczFK2XhOo0GEN1hIVo0WkFOo1Ap9F41rUaQjQCrUYQrtd592swGUyYw0Iwh4UQFe5ZYoyh7QIUEaoGTveGgH1aUsp9Qog9QoiRUsotwExgY6DsKxSK4ERKSUOrg/J6K+X1rZ2GP5d7+2EqG23YXe5O5wkBcRGhJEaGEh2uZ3B0GFHhIe0CEabXEaLxion2gLjotRr0Og0h3u0hHd63iVK4XnvcNKMFM4GW8zuAt70j+LYD8wJs/6ioqalh5syZAOzbtw+tVkt8vOfh559//hm9Xu8zW6mpqRQVFREVFeWzayoUgcTtltRa7FQ326huslPVbKW6yfO+qslGZZOt/ZmcVoer07k6jWCQ2UCyOYwJQ6IZZDYwKNKzJHrX402hSkSOcQIqUFLKdcDEQNr0JbGxsaxbtw6ABx98kIiICH7/+993OkZKiZQSjUb9cRTHJg6Xm+pmG/sbbexvtFLZaG1f39/kEZ9qb8aB7pra9DoN8RGhxJlCGTXIxIyRCSSZDSR7+2BSosKIiwhF0w/P3SiCiwHbIPqXj4vZWN7o02uOSY7kgfOzen3e1q1bmTNnDlOnTmXVqlV88sknFBYWMn/+fGw2G8OHD+eVV17BaDSSmprKDTfcwNKlS3G5XHzwwQeMGDGCqqoqLr/8cmpqapg8eTKyu8e5FYoAYHe62V1rYUd1C3vrLOz1NrWV1bdSXt9KdbOtS7YBjYB4UygJJgPJZgNjU8zEmfTtQtT+agrFFKpT/amKI2LAClSwsXHjRl599VVeeOEFKisreeyxx/j6668JDw/nkUce4amnnuLee+8FIDExkbVr1/L000/zj3/8gxdeeIEHHniAGTNmcO+997J06VJeeOGFfvZIcSzjdksqGq3sqGphR3Uz26tb2OFd9tRa6Bj4hOo0pESFkRIdxsiR8SSZw0iMNJAY6RGkxMhQYiNC+yXTgOLYZsAKVF8iHX8ydOhQJk2aBMCKFSvYuHEjJ510EgB2u52pU6e2Hzt37lwAJkyYwKeffgrAd999174+e/ZsTCZTIIuvOEapbbF7BKjqgAC1LbYO2QfC9Voy4ozkpJiZnZtMRryRjLgIBkeHEWPUq4hH0S8MWIEKNoxGY/u6lJKzzjqLN998s9tjQ0NDAdBqtTidB56XUJWAoi9Y7E52Vlu8wtM5Gqq3ONqP02kEabHhZMYZOWV4HBlxEWTEGcmMN5JgClW/P0XQoQTKD5x00knceeedbN++nczMTFpaWigvL2f48OE9njNt2jTefvtt7rnnHj7++GOampoCWGJFsONwuSmra+02Gqpo6Jz6K8lsICPOyLk5SWTGR5AZZyQjzkhqdNgxkwJHcXygBMoPJCYmsnDhQi655BLsdk8qk0cfffSQAvWXv/yFyy67jPfee48ZM2aQkpISqOIqggQpJfsbbWyvbvaITwch2l1rwdmhY8gcFkJmvJETh8Z6BcgTDaXHhROuV39rxbGBCNbRYhMnTpQHT1i4adMmRo8e3U8lCg7UZzDwaWh1tDfH7ahq6dQkZ7EfeB4oVKdpb4LL6CBCmXFGoo2+e+ZOoehvhBAFUsoujyCpWy2Fwg/YnC521VjYXuXtE+oQDdV0SBCqETA4JpyMOCMnZMQciIbijSRFGtSzQIrjGiVQCkUfcLjcVDV5H1T1vrYJ0raqFsrqOg/VjjeFkhln5IysxE7RUFpMuF9nJFUoBjIDTqCklMftaKNgbY4NVqSUuCUIOGwk0pYBu6bZTk2LnZpmW/trdcdtzZ5UPbUWe5eHVQ0hGjLiIshJNTNnfApD25vmjJgMag4vhaK3DCiBMhgM1NTUEBsbe9yJVNt8UAaDob+LElA6Rir7G21UNlm96XVs7G+yUdloxepwtU+f0DaVQtv0CW0iIoRnmLXWm5Fa613XCLA63LTYnV0Epw2TQUdcRCixRj3pceHkDYkmMTK008OqCZGhxBlVeh6FwpcMKIFKTU2lrKzsuJ0TqW1G3WMJi91J6X7PqLXt1S3t0yfsb/SIT003E7ppNYJ4bxbr1OgwwvU6b0Zq4c1Q7Vn0WoFWo0EicbkPLM6D1sNCtESEaokw6Ig1hhIbofcIUoSeGKOeUJ2an0eh6A8GlECFhISo2WQHME6Xm5L9zawvq2f9nnrW7amnZH9Te1+Npn36BAMpUQbGp0WRYOoaqcQaVVodheJ4YEAJlCK4sTld7KltZXdtC7trLFQ0WL2LJ9no/kZr+7M85rAQcgdHcUbWIMYkRTI03khabLiKVhQKRTtKoBS9wuZ0sbvGwvbqFnZ6h03vrPEKUqO1Uz+OXqthkNlAktnACRkxDDIbGDXIRG5qFENiw4+7fkSFQtE7lEApuuBsS6tT43l+Z2fNgWd49ta3dhKhGKOe9NhwJmfGkhYTTnpcOGkxnuHTcREqyahCoeg7SqCOI9qm1q7yTipX1XzQa5ONvXWtXdLqmEJ1ZMQbyUuL5qK81Pah0+lxRsxhavi0QqHwD0qgjjHcbsn+Jis7qy3sqmlhZ03n146pdNrQazXEm0KJi9AzItHEmdmD2kUoI85IrJpuQaFQ9ANKoAYwFruTTRVNFJc3ULy3keKKBkr3N3ea50ev1TA4Joz0WCNTMmNIjQ4nwRRKXIRndtN4UyiRBjXDqUKhCD4CKlBCiJ1AE+ACnN0lB1R0xu2W7Gu0dplsrm1wQlt/UHR4CFnJZq6aMoT0OCPpsZ7M1knmMDUkW6FQDEj6I4KaIaWs7ge7QY3bLdle3cy6PQ2eLNfVLWz3DlCwOg5ERIYQDemxRkYnmbggN5ms5EiyU8wkmQ0qClIoFMcUqomvH3C7JbtqLZ6mufJGissbWb+nnoZWz+ynOo3wjogzcvKwuPYpFjLijSSaVIZrhUJxfBBogZLAl0IICbwopVzQcacQ4ibgJoC0tLQAF80/2J1uSiubKC5vZGN5I8XlDWyqaKLZ5pnqXacRDE80cXb2IPKGRJOXFsWQWCMhauZThUJxnBNogTpZSlkuhEgAvhJCbJZSfte20ytYC8AzYWGAy3ZU2JwuKhttVDRY2VTR2B4dle5vxu7yNNGF67WMTopkbl4KWcmRZCWbGZ4YobInKBQKRTcEVKCklOXe10ohxBLgBOC7Q5/V/0gpqbM42FNroayulT11FsrqLOyta2VfoyfTdu1BSU1jjHqykiOZNzWdrGQzWcmRpMca1YAFhUKhOEICJlBCCCOgkVI2edfPAOYHyj54hMbuctNic9Fic2Kxu2i2ObHYnbTYnJ7tdifVTTbKvTnkKuqtlDe0dhqoABAVHkJKVBgpUQby0qJIjDQwKNJAotnAiMQIBkWqQQsKhUJxNAQygkoElngrbR2wSEr5ub+MNVgcXP3qzx4hsjlpsXtEqWOGhJ7QCEgwGUiKMjA6KZLTRiWQHBXG4JhwUqPDSI0OUxPQKRQKhZ8JmEBJKbcDuYGyFxqiISoshJQoA0a9DmOojnC9FmOoDqNeS3iojohO23QYQ7WE63VEhYeoQQoKhULRzxyzw8wNIVpev+6E/i6GQqFQKPqIkD3Nc93PCCGqgF39XQ4gDjheHyxWvh+fKN+PT/rT9yFSyviDNwatQAULQoj84zUlk/Jd+X68oXwPLt9VR4tCoVAoghIlUAqFQqEISpRAHZ4Fhz/kmEX5fnyifD8+CTrfVR+UQqFQKIISFUEpFAqFIihRAqVQKBSKoOS4EyghxCtCiEohRFGHbblCiJVCiA1CiI+FEJHe7elCiFYhxDrv8kKHcyZ4j98qhHhaDIDEe77wXQgRLoT4rxBisxCiWAjxWH/50xt89b13OPejjtcKZnz4m9cLIRYIIUq83/9F/eFPb/Gh/5d5jy8UQnwuhIjrD396Q2989+4b691X7N1v8G7vn/pOSnlcLcA0IA8o6rBtNTDdu34d8JB3Pb3jcQdd52fgREAAnwFn97dvgfAdCMczKzKAHvj+ePG9w3lzgUWHOiaYFh/+5v8CPOxd1wBx/e1boPzHk3Wnss1n4HHgwf72zce+64BCINf7PhbQetf7pb477iIo6Zl/qvagzSM5MO3HV8Ah7wyFEElApJRypfR8e28Ac3xdVl/jC9+llBYp5TLvuh1YA6T6uKg+xxe+AwghIoDfAg/7tIB+xFe+46nM/p/3mm4p5YDIuOAj/4V3MXqjh0ig3Jfl9Ae99P0MoFBKud57bo2U0tWf9d1xJ1A9UARc4F3/BTC4w74MIcRaIcS3QohTvNtSgLIOx5R5tw1Eeut7O0KIKOB84Gv/F9Mv9MX3h4C/A5YAldFf9Mp373cN8JAQYo0Q4n0hRGIAy+treuW/lNIB3ApswCNMY4CFASyvL+nJ9xGAFEJ84f2O/+Dd3m/1nRIoD9cBtwshCgAT0Db7YAWQJqUcj+eueZG3vba79teBOl6/t74DIITQAYuBp6UnU/1ApFe+CyHGAcOklEv6p7g+pbffuw5PpPyjlDIPWAk8Efhi+4zefvcheARqPJCMpyns/wJfbJ/Qk+86YCpwhff1QiHETPqxvjtms5n3BinlZjzhLUKIEcC53u02wOZdLxBCbMNzl1FG52atVAZAuN8dffA933vqAqBUSvnPgBfaR/TB90nABCHETjz/nQQhxHIp5amBL/3R0QffC/BEjW3i/D5wfYCL7TP64L/wbtvmPec94J7Al/zo6cl3PPXat21Nt0KIT/H0X71FP9V3KoIChBAJ3lcNcD/QNmItXgih9a5nAsOB7VLKCqBJCDHF2x59NbC0Xwp/lPTWd+/7hwEzcFd/lNlX9OF7f15KmSylTMdzh1kyEMUJ+uS7BD4GTvVeYiawMcDF9hl9+N3vBcYIIdoybs8CNgW63L6gJ9+BL4CxwjNSVwdMBzb2a33X36NMAr3gaZaqABx47hiuB+4ESrzLYxzIsHERUAysxzMY4PwO15mIpy13G/BM2znBvPjCdzx3TxLPn3Odd7mhv30L1Pfe4XrpDJxRfL76zQ/B07leiKffMa2/fQuw/7d4f/eFeMQ6tr9986Xv3uOv9PpfBDzeYXu/1Hcq1ZFCoVAoghLVxKdQKBSKoEQJlEKhUCiCEiVQCoVCoQhKlEApFAqFIihRAqVQKBSKoEQJlEKhUCiCEiVQCoVCoQhKlEApFAqFIihRAqVQKBSKoEQJlEKhUCiCEiVQCoVCoQhKfDLdhhDiLOApQAu8LKV87KD9vwVuAJxAFXCdlHLXoa4ZFxcn09PTfVE8hUKhUAQxBQUF1VLK+IO3H7VAeVPTP4sn/XwZsFoI8ZGUsmMq/rXARCmlRQhxK/A4cMmhrpuenk5+fv6hDvEbBbvqKC5vYPzgaEYlmQjR+j/Q/KG0ml21LeSlRTMi0YRW090cYb7ly+J91Fsc5A2JIjMuAk0AbH5etI9Gq4O8tGiGxhvxZO/3L0vWeiYDzUuLJi0m3O82pZQs+nk3kYYQJgyJJjkqzK/2AJwuN2/+tIsks4G8tGgSIg1+t+lwuXnrp10kmcPIGxJFgsn/Ni12J4tW7SYjzkheWjTRRr3fbda22PmwoIyRg0yMS4si0hDid5t761v5bEMFY5IjyU2Nwhjq/6n7yuosfF60j6xkM7mDzYTrAzddoBCi24DFFyU4AdgqvbOqCiHeAWbTYa4YKeWyDsf/hCele9Dyhw/Ws62qBQCTQcd/7ziFtNhwv9lzuSW/fmcttS2eiS3jIkL532+nERXuvz9fs83J7YvW4HB5stkPiQ3nq99MR6/znxg3WR38atEanG6PzYw4I1/+ZppfbwD21Fr4zbvr29+PT4tiyW0n+80ewNo99dy3pKj9/awxibx09US/2vxmcyV/+fjAPeHlk9N49MIcv9r8etP+TjavmjKEh+Zk+9XmhwVlPPzfA9Mw3XX6cO46fYRfbb62YidPf10KgBAwf3Y2V00Z4lebz3yzlcU/7wZAqxH867LxnJOT5Feb//p6K+/m7wFApxE8e0UeZ2YN8qvNw+GLmiEF2NPh/eHmq78e+Ky7HUKIm4QQ+UKI/KqqKh8UrffsqbWwraqF22cM5ZELs2myOvlpR41fbRaW1VPbYue+c0Zz95kjqW62sXZPvV9trthajcMlefyisdw8LZNdNRZK9jf51eaPW6txuiV/u3gsN0zNYEd1C6X7m/1qc3mJ53e04KoJ/GJCKmt311PZZPWvzS1VaAQsumEyZ2YlsnxLJTany782S6ow6rW8f8uJnJgZy5fF+/D3VDrLt1RhCtXx/i0nMjkjhi837vOrvTabqdFhvHPTFEYnRfLVxv1+t/ntlkpyU828df1kUqPD+HqTf21KKfl2SyXTR8Tz6rWTMBl0fLO50v82S6o4bVQCr1w7kXC9lmV+tnkk+EKgjni+eiHElXgmvvpbd/ullAuklBOllBPj47s0RwaEtgrtwvGpXDYpjYhQHUV7G/xr01uhXTwhlatP9NyZFZX52aa3QpszPoXLJ6cBsCEAfppCdcwZn8JlXpv+/my/3VLJ4JgwZo1J5OIJnlmri/c2+t1m7uAoThoWx/m5yThckpJ9/hNiT4VWxcnD4piUHsOZWYlUN9vZ32jzq83lW6qYOtxj84ysQexvtPlV/K0OFyu21TBjZAJTMmOZPiKekv1NfhX/mmYbhXsbmDk6kanD45icEUvR3ga/in9pZTPlDVbOzBrEjFEJ5KZG+f1/snlfE/sarZyVNYjTRiWSOzjK7/XBkeCLJr4yYHCH993OVy+EOB24D5gupfTfP+co+XZLJanRYe39I2OSI/1fcZdUkTs4qr09PTPO6FebbRXaScPi0Os0pMWEE2nQsWFvA5f50eZybyUaotWQEWskItRj85eTBh/+An3A5vRUaBflpSKEICvFjBAeIZ4xKsEvNtsqtLtmepqdclLMgMdmTqrZLza3Vjazt76V22cM89hMPWBzkNk//UJb9nsqtFNHem4k2/ws2tvAaaP8Y3P1zlpaHa5ONh0uyZZ9TYxNjer19RwOB2VlZVitPYuqxe5kwflJJJjsbNq0iUuGazgzJZbijZv81k/cZHXw0gVJJEU0s2nTJm4bZ6DJqmPjxo1+6z9ttxnexKZNm7h9fBjNthCf2zQYDKSmphIScmT9eL4QqNXAcCFEBrAXuBS4vOMBQojxwIvAWVLK/o8be6CtQpubl9L+peSkmHl71S6cLjc6P/SV1DTbKCyrb6/QALJTzOTvrPW5rTbaKrTbZgwFQAhBdorZr3dpB1doGo3/xX/1jjos9gMVWkSojgw/i/93pVVISbvNjuLvL5Zv8UT9bTbHJJnReIV41phEv9qcPsIj9FnJkR7xL2vktFH+s6nXajhxaCzQWfz7IlBlZWWYTCbS09N7rIR311oIszoZnWRCCEGLzcm2qmYGxxoxh/lnsMT2qmai3JIRiSYAGlod7KppYUh8hN8GS2w72KbFzq5aC+kJET4bLCGlpKamhrKyMjIyMo7onKOucaWUTuBXwBfAJuA9KWWxEGK+EOIC72F/AyKA94UQ64QQHx2tXX/QVqHNGHng7jonxYzV4WZrlX+aaL4vrUZKmDHqQJNmToqZ8gYrNc3+CTQPVGid/dxc0YTd6Q6ozU0VjThd/rJZiV53oEJrs+lPIV6+pYpYo7698gyE+C8vqWRkoql9tGCYXsuwhAg/+1nJ6KTI9gjNGKrze+S/fEslkzNj2ivMwTFhmMNC+uyn1WolNja2R3GSUtJsdWAy6NqPCQvRIoBWu3+aFV1uSYvdhclwQBTCQrQAtDr8ZdONxeYisqNNvdemD/0UQhAbG3vIiPVgfBISSCk/lVKOkFIOlVI+4t32ZynlR97106WUiVLKcd7lgkNfsX9YvqWy0x0aeKIZgA1+6hNatqWSuAg92ckHmn+yO9wZ+oPlJZWMSIwgpcPw5+wUM3aX228DJZZtrmTUIFOnJqecFDM2p5vSSv+I/7ItlUzOiOl0B5iTYqaiwUq1H8Tf5ZZ8V1LF9BHxnYbs56SY2bLPP+LfbHPy847a9uipjewUs99+P01WB/k767rY9Kf4tw1e6niD4xH/o4vCD9V8ZbG7cLplJ7HQaAShIVq/iUWzzYmUElOHSClEK9BpNH4TxWarE4nE1GH4fIhWg1YjfO5nb5sLVSaJDiwvqep0hwae/iCjXuuXP15bhTZteOcKLSslEvDPAIIWm5PVO+o6/dGhcx+Cr2myOijY1dWmP4W4uwrN3zYLy+qpsziY3o1Y+Ev820ZjHmwzJ8VMVZON/Y2+H7TQNhrz1BFd/dzXaKWqyffiv3yLp2egOyHess8/AyWabE4EnqbhjoSFaGm1u/wyUKLJ6kAjBOEdbAohCNP7TxSbrE60GkG4N2pqt+n1sz9RAuWloqGVrZXNTD/oT+fPvpLi8oZuK7RIQwjpseF+sblqRw12l7uLn2kx4ZhC/dNXsnJbDU637GIzI85IuJ/E//vSaoAuNscke8XfDxHx96XVCAHThnetRME/ovh9aTVGvZaJQ2K6t+kHP78rrcYUqiNvSHS3Nv3xfX5XWk1qdBiZccbONpPNfhsl2Wx1EqbXdel7DtNrcbrdOF1HL1CPPPIIWVlZjB07lnHjxvHjip+ICNWhOSjSCAvRYHO4cbv9IIo2JxGhui7RTZhei9Xp5tRTT21PmnDOOedQX19PfX09zz33nM/LcjBKoLzk76wDYHJGbJd92SlmNvqhr6TN5gkZMV32efotfD8cOn9nHTqNIC+tc+Wi0QiyUiL9UrkU7K4jRCsYn9a5I1urEWT5Sfzzd9USF6FnaHznCi3SEOK3gRL5u+oYmWjqkt1giB/FP39XHXlDors8YD0mKbJ9xKKvKdjpsXnwA9ZZXvH3tU0pJWt21TE5o2t/UY6fxN/tlrQ6XBhDtV32+apPaOXKlXzyySesWbOGwsJCPvviS2ITk7odCBEWokUisfo4irI73Thc7p5tSom7Q6T46aefEhUVpQQq0BTsqiMsRMuoJFOXfW0DJbZXt/jW5u46UqLCSDJ3TYWTk2Jmb31re3YJn9ncVUdWcmR7J+jBNjfta8LhYyFes6uO7BQzhpCuNrP9NFBiza468tKiu23zzk4xU1zuW/F3uyVrvWJxMG3iX+zjSrTJ6mDLvsYuNxvgGbQwND6C4nLf2mxodVBS2cSEbvw0GULIjDP6/CZnV42FmhZ7tzaHxIZjMugo8rGfrQ5PE56xmxFshraBEkcpFhUVFcTFxREaGgpAuCmKhEFJlBStY/r06UyYMIEzzzyTiooKwvRaPlz0OiefNIXc3FwuuugiLBYLAO+//z7Z2dnk5uYybdo0wDMAZN68eeTk5DB+/HiWLfMk83nttdeYO3cuZ511FsOHD+f3d9/tsa3XcuuttzJx4kSysrJ44IEH2usIV4eoLT09nerqau655x62bdvGuHHjuPvuu7nqqqtYunRp+3FXXHEFH3109GPhApdsKchZs7uO3MHmbtPu5HRoLmkbhukTm7vqmJjeNXrqaLNobwPTRvjmoWWHy836snouOyGt2/3ZKWbsTjel+5vbm8KOFrvTzfqyBq7uITVMToqZVx1utlW1MHKQbz7b6mYbO2ssPfqZkxLJx+vLqW2xE+OjXG6llc002ZxM6EYsPDbNvL5yFw6X22epwfTBJAAAIABJREFUndbvacAt6bbibrO5Ylu1T2y1sW5PPfIQNv3xiETBLk9LQ3c2hRBkJx/94Iy/fFzMxg43LQ6XG7vTTXiorttMBK12F0LQ7U1XG2OSI3ng/Kwe959xxhnMnz+fESNGcPrppzPz3DlkZOVx9+9+w9KlS4mPj+fdd9/lvvvuY+HChZxxzgXceMONpMaEc//997Nw4ULuuOMO5s+fzxdffEFKSgr19Z4MNM8++ywAGzZsYPPmzZxxxhmUlJQAsG7dOtauXUtoaCjDho/ggsuvIztlDI888ggxMTG4XC5mzpzJ3LlF6OLT6a5V8bHHHqOoqIh169YB8O233/Lkk08ye/ZsGhoaWLFiBa+//vrhPvbDoiIoPD+2jeWNPf7pMuMjCNdrfdqMUF7fSkWDlQlp3T+/keWHpovNFU1YHe5DVmjg2z6E4vIG7M7D2/Sln2t3e/6kh6pEfW1zze6eK9E2m3anbwdKrNldhxAwroffUHaK2efZHdbsqkMjIHdw9zb98YhEwe46TKE6hidEdG8z1fePSLjcEo0Q3YoTeKLio+0OioiIoKCggAULFhAfH88t865i6eLXKSoqYtasWYwbN46HH36YsrIyhBDs3raFOeecTk5ODm+//TbFxcUAnHzyyVx77bW89NJLuFyeqO6HH37gqquuAmDUqFEMGTKkXaBmzpyJ2WzGYDAwdMRIavbtRSME7733Hnl5eYwfP57i4mI2bdpEWIi2UxNfT0yfPp2tW7dSWVnJ4sWLueiii9Dpjj7+UREUntFXTrfssXLRagRjknzbP3OgQus+gjKHhTAkNtynNgt21f5/9s47vM3qfNj30fLeKx5xHDuJ48TOdPYgEEag7DLLKCPQltHSQYG2UFbLj0KBllJGWQ17foQQICE0g+zhLDuxE++9h7xkrfP9oWF5y5asOKD7unxFkV7peY/0vuc555lWmf2PM2kUqjvYVr/9mb6gW/lnV7TYSxG5Q6ZaKeyKqDeOzvzeQRSuyIwI0DBhgKLCjsp/epx7KkocsPq8BqquPRrVHbJKm5g6LrhPZJsNR+XfO4JyxDJLmpg9IWzAavuOUZID/eZD4bjTkVJyvKqVIF8V48P7/z3rW7uobOkkLTbYpR2xUqlkxYoVLF9+BsFxKXz69mtMnz6dXbt29Tn2vl/+nGf+8zaXn72ENWv+y5YtWwB46aWX2LNnD+vXr2fWrFkcOnRo0AhDm0nRbJYglKiFpKioiKeffpp9+/YRFhbGTTfdhE6nw0+jxGyWTimpG264gXfeeYf333+f119/fWRfSC+8OygsKzSA2eP7n0Sh229hclMUzWA+L0eZ7lzlHyhtJi7Et1+fF1h9JW4OWsgqbSIhzI+YAdo/2JS/W2UO4vMChyhJN0a4ZVn9TwPleTgqf3dgNkuySvv3edlwrO7gDkxmycHS5gEXOOD+FAmtzkBeTeuAplNw/85fbzJjNJt7hF33xh2JrHl5eZw8aamS3mkwkZdzhLS0NOrq6uwKymAw2HdK7e1tRETH0Nqp45133rF/TkFBAQsWLODRRx8lMjKSsrIyli9fbj/mxIkTlJaWkpqa2kN+h8GEROKjVqLVagkICCAkJISamhq++spSz9sWEKLvFcYfFBREa2tPa8BNN93Ec889B8D06QObNoeDWxSUEGKVECJPCJEvhLi/n9d9hBAfWF/fI4RIcodcd5FV0kRKVMCgvWUy4kPoNJgodFNFiaySJmYk9O/zcpRZ3tRJk5sCJbIGcOL3lumuoAUpJQdKmgad0MAaJekm5W/xeTX3GzjQW6a7lEVju57C+vZBx9mt/N2jLPLr2mjVGQcdp7urO5yoaaWty8icCQOXFXJ3lOSh0sF9XuD+KMmOLstk7D9IWSFfN0TytbW18dOf/pRp06Yxb+5sCk7m8dhjj/Lxxx9z3333MXPmTGbNmsXOnTsBePjhR7j+4rO5YNV5TJ061f459957LxkZGaSnp7N8+XJmzpzJHXfcgclkIiMjg6uvvpo333zTvnOyj1NvtIxFpWDmzJnMnj2b6dOnc8stt7BkiaUljU1BdfUyn0ZERLBkyRLS09O51xpoERMTQ1paGjfffPOIv5PeeKph4a1Ak5RykhDiGuBJhmhYOBoU1rXx6vYi7ls11V5HyzaJDlWzzLEA5+RhBEocKW/m06wK7j9/avdFrTeRU6nl9uXJg8u0rQwrW1g22XlT1I78erbn1/O7c1PtBS2rWjqpaO5k9bLBa2BlJHRXd0iLdT5Q4ruTdewqaOC3DjIrmjup0XYNqaAy4kN4c2cxBXVtwwpC+fJoFUX17dyxIsW+czlWpaVrEJ+Xo8wvjlTR1K4fVtO79/eWYjDLHv2AsgZx4veWuWb38AMlXtlWQEywL5fM6u5iM1jgQG+ZuwuHH7Tw0tYC4kP9uGhmXF+Zif2bpW2kx4fYv5Ph8NSGXOYlhfcwDR6w+7wGNt2NNEVCSosvOMRP3SPMukNvRCkEvoP0RlMqBD6q4Seyms2SypZOIgN9mDt3rl35FNe302U0ERsTTGxMNNu2bevz3rvuvIOzLr+eED81CWHdpsdPP/20z7G+vr68+eabPWTqDCZuuukmbrrpJss4u0z85+2P7cFJtuMdkVLy5ifrCbXOl8XFxfbX3n333R7HdnR0cPLkSa691n0lp92xg7I3LJRS6gFbw0JHLgFsIR0fAyuFJ1qp9uLzw5W8u6eU29fst+cTFNW309RhGPJGT44MwFetGPYq7YN9Zby5s5h73j9k3yEM5fOyMdK8kjW7inlxSwEPrs2226KzSgYPHOiWObIAgjd3FPPvLQU8/HmOXabd/+TEbgaGn1T68rZCntqQx/P/y7c/5+zEPdJAief/l8+Dn2Xzzp7uBqC2PK+MIfwfjlGSzmIyS5795iS//uAQX2dXdcssaSI8QEPSEI00R1LdwWAy88w3J/jV+wfZmNPd4ymrpInIQB/Ghw/eITg9LnjYKRJN7Xpe2FzA7W8dYG9Rt0LNKm0idVxwjzI8/cscfoqE0Wy2Rny299gJtetN+GmUQ5blGUl1hw69kcZ2PUX17XazmZSSDr1pyKKsI63u0N5DptlBpnFQM6ZNpq8TpZ02bdrE1KlTufvuuwkJcV/Vfk81LLQfYy0u2wL0zYgdZXIqtQRolOwpauTXHxyiqqWTdYctN/1QE5pKqWBabPCwewnlVGoJ8lHxdU41D67NprK5k6+yLTf97CEm7lB/DePD/UYs8909pTy36SRljR18c6waX7ViyF2RrbTTcHN2sitbCPJV8dbuEv75bT5ljR1sOl6Lv0bJ1CHCx1OiLMp/OLksRpOZ3CrLOJ/55gRv7S6hqL6dLXm1xIcO7POyYat9OByZzR16Kpo7CfJR8eBn2aw/UkV+bRvbT9YzPW5gn5ddZvzwZRbVt1kSRjUqfvn+Ib47WUdedSt7ihoGzPNyVebJmjb0Rkvy5t3vHWRHfr1VZiNzJ4QOKXMkPqFjVZZr3EepYPV/93GorJmcyharz2voSuUZCcNX/nZlJi07GJ3BRHuXEZ3B5FTVcD+1EoPJPCyl2GmwHGs2S4rqO+gymmjVGYf0edllWqs7OBO0YJdpVWgWme0OMmW/ici98Vcr6TQMLvPss8+mtLSUe+65x+nzcgZ3RPE507DQqaaGQojbgdsBEhP7z2FxhWOVWlamxTAjIYTH1x+3K4roIB+SI/sPYXUkIz6Ejw+UYzbLASOKHDGZJbnVWn4yfwIalYKXthbw7h5LG+e02GCncnAyhukraekwUN7Uye9XpVJQ284/vj3JP6ztqpdPiRrStGTxlQxPZm2rjhptF3/6URrHKrU8u+kEz26yhLSemRo1ZJsSm/IfzoRWWN9Ol9HMY5em8+XRKh78rLvF+pVORAOG+KtJDB9elKQtT+bpq2by4pYC7nw3y/7aHStShny/Y13HqzKdi5K0JRS/fONcHvwsmxte22t/7ebFQ7csmO5Q2ulMJ6PqbN/JmzfP496Pj3Ddq3vsrw1lloaeKRLO5vDZEorfu30ht/53H5e+sMP+2uKUyCHf7xiZ6WwOn94oUQPJUQEU1rf3SAEYKErREcdACbWfc2t9ncGEWmnpwVZU305edbdMZ5WilJaKEs62weg0mNCoFCSE9SPTic/w0yiRbZIug7nfBP/hMNz6hZ5qWGg7plwIoQJCgD6GcSnlK8ArAJmZmW4tOtXUbln93rhoAquXJRMX6kd9WxfJkYFMjwt2SuGkW5MtC+vbmTRAToYjhXVt6AxmpscFc/mceCZFB9JlNDExMsDpcNj0+BC+PFpNS4eBEP+h+8/YbvT0uBBuW5bMnAmhqBSCiZGBpMc7d+Omx4fw7l7ne2DZJrQZCaH8dHGStQyOReZQZi8bGfEhfHSgHJNZOtUIziZzZkIoF86I5aP95fhrlCRHOT/OjPgQjlQ0O3UsdO9C5iWFs+DmcD7JqiA8QG35bp2YFEei/LMrWtCoFMxLCue92xby+eFKooJ8SIkKZJoTPkJbdYfhyDxa0UKgj4rZ48N477aFrDtcSXSwL8mRAXaFNxgjSZHIrtASF+JLenwIH/5sERtyqokP9WdyTOCA+U+OjKQBZmWrkSmhrfiqQ0iJCqRVZ0CjUuKrUuAzxG4YepY8CnayN1Sn3oSfWmkPYGnXm/BRKfBVK9ConNtB2T5nOArKT60k0CqzY7gyHcbpioKy9YPy9XU+5cEjDQuBz4GfAruAK4D/ydHsmdwPtpWozcdyQUbssD/DFiiRXdHilIKyy4wPRggxojwfx0CJJZOGXkl2j9OSn3Hdgv4rOAwqMyEY3Q7nqzscLdcihCVzXq1UcP0AVSMGw6b8i+rbmBQ9tMycSi0+KgUpUQGolAp+ujhpRDLXH62iuUNPqP/Qu9mcSi2xIb72ne+tS51rutZb5nCUf06lltSYINRKBdHBvqxeNvQOpj+Zw6nucLSixb5oi3FB5uEy55V/TmUL06z35oSIAG5fPvSO1JHhFnWWUvLMznr+uEKJSj/yyNxGrQ5tlaAx0GfIY6WUVDbrCPJV0Vk38maHdc2dtNUoCXPimrUESOgI8VPRUTsymVJCXUsn7TVKp+6TwbB11HUWlxWUlNIohLA1LFQCr9saFgL7rT2hXgPeEkLkY9k5XeOq3OFi21k4swIciElRgfZAiUtn93az9S9To1KQEjW0MhuIdIegBecUVAvjgn2JcOKGGQjH6g5OKaiKFiZGBjhlFhlQpkOUpHMKqoWp44Jc6nLc7SvRsnSyc8rflesHupV/fl0bU8cN/llSSnIqtZyfPs41mfEhfH64koa2riGvC6PJzPEq7YgWGb1lrncySrJDb6Swvp0LZ8QNepwzMt/e7ZzyL2/qpEJroFERygVpIx/rS+8fZG9RA7seWDnksQdLm1i9ZicvXT+XBWkj/00f+89uWnVG1t29dMhjt5+s57bP9/D2rQtIc+IaH4hHXt5Fl9HMZ3cuGfFnjARPNSzUSSmvlFJOklLOl1IWukPucMiptJgQhhNS3BuV0hJk4OwqLadSy9RxQS5lmocFaEgI8xuWTFcn0YmRgcNqg5Fd0eK0KW8g7MrfiaRSKSXHKrX2FfdIsZkCnfluO/WWHDhXZWYMI2KxormTlk6Dy7/ncCIWT9a20WU0u/x7ZgwjOON4VStSurZ4tMl0tgGmo6XBVZnONsB0p0xnG2DafnNnzd6DyRzN7tcD8YOpJJFT2WJ33rpChjWpdKi+LLbVrzvK2jjbqbRTb6Kgrs3lcQ6nDUZdaxfVWp3LE5pN+TszzvKmTrQ6o8s3nS1K0hmZx6u1mCVO+ZoGYzjKv9tE7Np3O5zqDtn2Cc1F5T+MdIVjlW6SOQxFfKyyBYVgyF2sO2XmVGqtOUyDh+k7I9PZBpjZFS2MD/dz2TTnmB/pSb63CqpTb+KOdw5wtLzFbkJwdeUCloujrctIUUPf1hvHKrU8si6Hovp2ypvcs/q1ySxp6KCl09DntQMljTyyLocarY5c6yTqLpn9VXeQUvLdyToe++IYLR0G+wrZ1ckFLIo4p7Klj/KXUrL1RB2Pf3GMlk6Dg7nWPTL7m1zMZslXR6t48utcdAaT25TFYMrfaDLzyYFyntt0AqPJTE6lFoWANBcn0cGqO3QZTby1u4RXthUgpSS7ooUAjbJPY8DhMliUZJfRxFu7inn1u0L7Qi7MX01siGv1Agfrft3eZeSVbQW8v9cSRZtTqSUlKtDlqDTHKMnetHQY+Oe3J/niiCVm7Fhli7X8lGspoIMVWK5t1fHUhly2nqizH+Pq4hFGt+nmYHxvi8W2dBo4Ut7C9a/t4XfnTrGaENzwQ8V1B0rYfEtVLZ08vv44649Ycqq+PFrFLUssDnR3KQuAnIoWFlv9UEX17Ty6LofNeZYLcWteHRdas/7dIjMuhE5Dz+oO2RUtPPrFMXsi5b7iRhYmR7hV5ppeUZLZFS08si6HfdbmjvtLmpg1PhSlQgyZX+UM0+P6RknuKWzg0S+O2ZXSsUotEQEaQv3VxLk4idpkvr+vtIev5NvjNfzly+MU1lkWPsX17bR0Gkh2wyRqkRlsr/JuY+2hCv72dR4VzZ0AVLXorAESIU5FtQ5FenxfRfxpVjlPb8ijssVSYb26RUd2pUWmqxN3f4ESUkrW7Crhn9+epMGaOGxZ5GhZlOJ6KmZQP8rfbJa8sDmfV74rpFVnRAhLd97j1a38dJFrvj3o2f3aVrOhy2jimW9O8N+dxegMZl7ZVsiTP55BaWMHV7uh8PPEiL4pEqUNHewrbuTc6TFDJlKPlO/tDmpciC/v3baQQB8VD661FFt0xyQ6OSYQjUrRY5X2l/XH2XSshrvOnMRHP1+E3mjmia9y3WJCgP7t+Q98eoT9xU3ct2oqa26ZT7VWxz+/PUmIn5r4UNdMCNAzYtHGr94/SEFtG49eMp0Xr5vD8Sotr2wrJDkywC0XqF0RO4zz7vcOUlTfzmOXTOeFn8whu6KFN3cWW5N7XZ+4M3rJNJklt791gOYOA89cNZMnLs9g64k6Pj1Y4ZbVr02mYwNMrc7Az946gABeun4O956XymeHKtmcV+eWa9Ym07G6Q1ljB796/xDhARrW3DKfm5ck8caOYrJKm92yGwbL71nW2ElLh2XnX1Tfzm8+PExkkA9v3Tqfny6awKvbi8iucN1v6ijT0VdyoKSJP3+ew+SYQD7++SIumhnHE1/lUq3VuVWmYwPMDTnV/P2bEyyYGM7aO5ewdFIk9396FL3R7JZFcn8NMD/cV8bLWwtZNX0c6+5aSlpsML/58DCAW3ZQthQJx/ngm+M1/Pajw7R1GV3+/AHljtonjwHGh/vz3m0LiQ3xJTJQ47IJAUDdK1BCSsmeokbOTx/H785LZV5SOO+sXkiov5opMUFuWf2GB2iID/WzFxrtMprIKm3mmvnj+cWKFJZPieKNm+bhp1YyI8H1lShgMX+ou3tg1bV2UVDXzu3Lk7lxURLnZ8Ty/LVzUCkEMxLcM6HZlL8tgKBGq6Oovp2fn5HCDYuS+NGMWJ6/djZKhSAjfujqAs7Q21ySW62lpdPA71elcvmcBK6dn8hfL8uwHusmmbaIRes4s0qaMJolj16Szqr0WO48cxK/OWdKj/NzWWav6g57rLvgv181k+VTonjowmncaF3dD1b3bkQyrcp/b1EDAM9cNYtlk6N4+OLpXL/QkpCf4aZryKb8C6w7Uds4X7p+LplJ4Tx71UwuyBjX4/xcl9mztNOeokb81EpevH4uM8eH8soNmSy27tbcOU7H0k67ixqJD/XjuWtmk5EQwlu3LLCkCgj3jTM9PoRjDsp/f3EjCWH9dwR3F99bE5+NxAh/1t65hPo2vVsmbrBckGsPVmI2S8qaOqhr7erRGXdaXDDr7lqK3o0RL+kOxTCPlluaADrKXJAcwbq7l+Krds+aQ2k1l9hk2npJOcpclT6OtXctISpo5CHtjvRW/vutZj1HmednxLI23H/IUkbOEmZX/haZ+4r6jvMnCxJJiw0i2YV0AUcclf+P5yawv7gJpUIwy6EJ4C9XTmZhcoTLgSA2eld32FfUSIifmknWMQkheOTi6axKH8e8Abo8D5feKRL7ipsI81eTEhVgl/noxelckB7LvInukdk7RWJfcSNTYgLtQQIqpYJ/XDOb6xc0Mt9NMh39M2dMiWJfcSOzE0Pt0bt+GiWv3zSPQ2XNLqWc9JZpa4A5LTaY/Q7mdrD4AN+/fSEnatpcilx2xDE/ckpMIPuKG4dVxHokfK93UDaig33d1sIcLDdBa5eRksYOuz+m9009PtzfbRejTWZRfTtancHuj8nsVT9wUnRgjyrH7pBp64G1t6gJH5Wiz2pselwI0UHuURYWmcHkWKMk9xVbVqK9TTHp8SFuU4oWmd2mi30lTcSF+PYxk85ODLNXwHeV3sp/b3Ej0+OC+5S6mT8x3OlqAUPRu7rDvpJGMns1ARRCsDgl0m0t6XunSOwrbiQzKbzHQlGhECye5D6Zjg0wTWbJgeKmHosNsCyEFk+KdNuC1bHMUqvOwPEqbR+ZvmplDwXiKo474rJGS9eA3jKDfNVD1hgdicyjFS0UN3RQ36Z322JmIH4QCsrdOK6Y9hc3EeKndqociztk5lRo2VfcSEpUgEvJuM7K7NCbKKpvY39JI7PGh6IZpAWBO8iwRkkWN7T3WYmOmsyEEIqtUZL7ihrdtpofVKZV+esMJg6XNY/6jQ7dPbDq27oorGv32DizK1qo1eooaehg/iiP07EBZl51K61dxlGX6dgAM6u0GbNk1GU6NsDcZ60SMtoyHVMk9tkX5u5TgP3hVVAjYEpMkD1Qor+V6GhgW70cKW9mf3GjRyY0m8w9RY3kVGo9NokC7C5s7HclOpoyv86uora170p0tGR2GkysPVRBl9E86jc6dDfA3HSsBhj9yQW6UyT+l1sLQKaHZB6r1LLH6vPylEzLgrXRYq5NdI+/ciAcG2DuL2kk2Fc16otkxxSJfcWNhPmrnSr55gouKSghRLgQ4hshxEnrv32uBCHELCHELiFEjhDiiBDC440K3Y1aqSBtXBBb8+oorGv3yIQWEehDXIgv/+9gBVqd0SMybW0w3tpVgsksPXKj25T/ml3FmKVnJlGbIn5jRzFwamTOneC5BcebO4vRqBRui9ZzVqavWuGWKDZnZHYaTHywr4zYfsy1oyWzormTb47VMC022KWyX8ORebxKy+5Ci+l0tBfJ4Kj8G5k7IdxtZtKBcHUHdT/wrZRyMvCt9f+96QBulFJOB1YBzwkhRnd54QHS40PIs2Zyz584+hOaTWautVT+aG/nobsNRm51KwoxdM8sd2BT/rnVrSgVYsieWe7AFiWZW91KsK+KKU7UAnQVm/LPrW4lOTLArT61gbAFLeRWtzJrfCg+TlSydhWbgsqtbmX2+LBRNxFDd6RcbnUr85JGfxKFnuP0hKUBuntgFdW3e06mVfmXNnZ4ZN5z9Wpx7JT7X+DS3gdIKU9IKU9aH1cCtcDohn54ANsF6amVqKPM6KChu5q6W+ZUJ7qaugvb9+mplahFpiUQw1MrUZvyt8j0zALHVt0BPLNLhO4oSU/KTLHWdfSkTMcKI56SmX4KZDoGSXnCiuOqgoqRUlYBWP8dtCOaEGI+oAEKBnj9diHEfiHE/rq6OhdPbXSxXRyeWok6ypw30TOrQui+8dwVkusM9nF6aFUI3bsLj8o8FeO0KuJTItND15AtUMKTMkP8upW/JyZu6K7uoFEp3JZfNRTJ1hQJX7XCfs+MJkMqKCHEJiFEdj9/lwxHkBAiFngLuFlK2W+CkJTyFSllppQyMypqbG+ypsQEEeqvZrkLJeyHy4yEEHxUCo/KzJwQhkLAMg/KnJdklTnFczIXJEcgBCx1oqWJ22ROjECtFG4NP3ZGZoBGyRwPmGsdZQb6qDxirrXLTI4gJtjHI+Zau8yJ4aTFBnvEXAuWQIl5E8NZmBzhsUWyUiHITApjUXKER8y1wpW+gUKIPGCFlLLKqoC2SClT+zkuGNgCPCGl/MiZz87MzJT79+8f8bl5gsZ2PUG+qlEPg3akrrWLiACNR8xQNmpbdW7NdfLKtCClpK6ty6MyTWZJc4d+1FMUHDGazLR0GjwqU28006E3ulzFezjoDCb0JjPBHjKFg6UILjjXLt5dtHUZEW6WKYQ4IKXM7PO8iwrqKaBBSvl/Qoj7gXAp5e97HaMBvgLWSSmfG8Zn1wElIz65U0skUH+qT2KU+SGMEbzj/L7hHefYZIKUso/ZzFUFFQF8CCQCpcCVUspGIUQm8HMp5WohxPXAG0COw1tvklIeGrHgMY4QYn9/q4HvEz+EMYJ3nN83vOM8vXBpjyalbAD69DqWUu4HVlsfvw287YocL168ePHyw8NbScKLFy9evIxJvApqdHjlVJ+AB/ghjBG84/y+4R3naYRLPigvXrx48eJltPDuoLx48eLFy5jEq6C8ePHixcuYxKugnEAI8boQolYIke3w3ExrlfajQoh11mRkhBBJQohOIcQh699LDu+Zaz0+XwjxT+GpekVO4o5xCiH8hRDrhRC51gr2/3eqxjMQ7vo9Hd77ueNnjQXceM1qhBCvCCFOWH/TH5+K8QyEG8d5rfX4I0KIr4UQnisp4gTDGaf1tRmiu4vEUSGEr/X5MT0H9UFK6f0b4g9YDswBsh2e2wecYX18C/CY9XGS43G9PmcvsAgQWJKXzz/VY3P3OAF/4EzrYw3w3fdxnA7vuxx4d7BjTucxAo8Aj1sfK4DIUz02d48TS7pNrW1swN+Ah0/12FwYpwo4Asy0/j8CUFofj+k5qPefdwflBFLKbUBjr6dTgW3Wx98Ag64sraWggqWUu6TlSllDP9XfTyXuGKeUskNKudn6WA9kAQluPlWXcMc4AYQQgcBvgMfdeoJuwF1jxDLxPWFmSFWWAAAgAElEQVT9TLOUckxVJ3DTOIX1L8C6owgGKt15nq4yzHGeCxyRUh62vrdBSmk6Heag3ngV1MjJBi62Pr4SGO/w2kQhxEEhxFYhxDLrc/FAucMx5dbnxjrDHacdYen7dRGWXmFjnZGM8zHg71h6np0ODGuMortv22NCiCwhxEdCiBgPnu9IGdY4pZQG4BfAUSyKaRrwmgfPd6QMNM4pgBRCbLD+brbyc6fdHORVUCPnFuBOIcQBIAjQW5+vAhKllLOxrK7ftdqG+7P1ng4x/sMdJwBCCBXwHvBPKWWhh895JAxrnEKIWcAkKeX/OzWnOyKG+1uqsOx+d0gp5wC7gKc9f9rDZri/pRqLgpoNxGExjz3g+dMeNgONUwUsBa6z/nuZEGIlp+Ec5LkSuN8zpJS5WLbSCCGmAD+yPt8FdFkfHxBCFGBZ0ZTT09SVwBgzI/THCMZpK0H/CnBSDqNA8KlkBOOcB8wVQhRjuY+ihRBbpJQrPH/2zjGCMR7Asju0KeGPgFs9fNrDZgTjFNbnCqzv+ZD+u4OPKQYaJ5a5ZqvNHCuE+BKL/+ptTrM5yLuDGiFCiGjrvwrgT4Atii1KCKG0Pk4GJgOF0tLQsVUIsdBq574RWHtKTn4YDHec1v8/DoQA95yKcx4JI/g9X5RSxkkpk7CsUk+MZeUEIxqjBNYBK6wfsRI45uHTHjYjuGYrgGlCCFs17XOA454+7+Ey0DiBDcAMYYmoVQFnAMdOyznoVEdpnA5/WExVVYABy+rkVuBXwAnr3//RXZXjx1gqtx/GEiBwkcPnZGKxGxcA/7K9Z6z8uWOcWFZlEssNfsj6t/pUj200fk+Hz0ti7EXxueuanYDFEX8Eiy8x8VSPbZTG+XPrNXsEi1KOONVjG+k4rcdfbx1rNvA3h+fH9BzU+89b6siLFy9evIxJvCY+L168ePEyJvEqKC9evHjxMibxKigvXrx48TIm8SooL168ePEyJvEqKC9evHjxMibxKigvXrx48TIm8SooL168ePEyJvEqKC9evHjxMibxKigvXrx48TIm8SooL168ePEyJvEqKC9evHjxMibxKigvXrx48TImGbP9oCIjI2VSUtKpPg0vXrx48TLKHDhwoF5KGdX7+TGroJKSkti/f//QB/6AeG17Ee/tLWXjPctRKPprjul+skqbePyLY7y9egH+mjF7uXjx4uU0RghR0t/zXhPfaUJLp4HnNp0gv7aNooZ2j8n98kgVWaXN5FRqPSbTi5fTGZ3BxEf7yzCbva2MXMWroE4T3thRRKvOCEB2RYvH5B4sawYgt7rVYzKHwmAy06oznOrT8OKlX17aWsC9Hx9hT1HjqT6V0x6vgnICk1miPYUTYkungde2F7FyajQ+KgVHyz2joPRGM0etyjCvemzsoDr1Ji7/904ufWGHd4XqZcyh1Rl4fXsRAPl1baf4bE5/TiungsFgoLy8HJ1O51G5bV1GtJ0GxgX7esz344i208Az50YRE+zDjdNiEeg5fvy4y5/r6+tLQkICarW639dzq7XojWYUAvLGwA5KSsm9Hx+2K81dhQ0smRR5is/Ki5du1uwsRqszolIICmq9CspVTisFVV5eTlBQEElJSQjhOUVR3tiBT4ee6BA/ooJ8PCYXwCwlx6u0xGhUJEUGUNHUSXOHnqlxwS59B1JKGhoaKC8vZ+LEif0ec7DUYt5bkRrNvuJGpJQe/d578+LWAr44UsWvVk7mjR1FfLi/zKugvIwZ2rqMvGq1dNS2dlHg3UG5zGll4tPpdERERHh8kuwymQFobNcjpWfNSh16EyazJCzAssvx0ygxSUmX0ezS5wohiIiIGHQ3erC0iZhgH85MjaJVZ6SqxbM7V0eySpt4akMeF8+M456zJ3PJrHi+yq6mpcPri/IyNnhrVwnNHQZ+uXIyKVEBFNZ5LpjJkS15tewqaDglst3NaaWggFOygjcYzSgVgi6jiXa9yaOyW3UGBIJAH8tm10+tBCyRQmDZYTV1jExxDvVdHixrZtb4UFLHBQOn1sz3+aFKfFQKnrg8AyEEV88bj95o5vPDFafsnLx4sdHSaeA/3xWyIjWKmeNDSYkKpKK5kw690aPn8fGBcm5+cx/3f3rEo3JHi9NOQXkas5QYTGbCAzQoFYLGNr1H5bfqjAT4KFEqLD+Vr1qBQgg6rIqyqV1PWWMHrV3uvREa2/WUNHQwOzGM1Jgg4NRF8kkp2XS8hqWTIgmwKurpccGkxQbz4f7yU3JOXrw48uw3J2ju0HPveakApEQHAnh0F/VpVjn3fnyYED81JQ0dVDR3ekz2aOFVUENgMJqRgI9KSZi/honRQcycNYv09HQuuugimpubR/S5q1ev5tixY32ef/PNN7nrrrsASxSdzmAiyLc7iEEIga9aSafBhJSSeqvC1FtNfoGBgSM6n94cKmsCYPb4UEL81cSG+J6ySL4TNW2UN3Vy1tQY+3NCCK7OTOBoRQvHvDladj7aX2aPIvPiGY5Valmzq5jrF05gelwIAClRlvvQU36oHfn1/O6jwyxKjuCNm+YBfC/MfF4FNQR6q/9Jo1IQHqDBx9ePDVt3k52dTXh4OC+88MKIPvfVV19l2rRpgx5jy/UJ8u0Zy+KnVqLTm9DqjHQZLTspvYs+qd4cLG1GqRBkJFhuuNRxQadsB/Vtbg0AK9Oiezx/yax4hICNx6pPxWmNOXQGE4+vP86z35zAaHLv9TBW0RlM3PP+QV7YnE+tVofZLNlb1MjDn+fwyrYCuyl8tJBS8ufPswn11/Dbc1Ltz0+I8EchoMBDO6g1u4qJCPThtZ/OY2ZCKBEBGnYW1HtE9mhyWkXxOfLIuhy3r5ynxQXz54um93jONvFrlAo0KgVCQF1bF6H+ahYtWsSRI9223qeeeooPP/yQrq4uLrvsMh555BHa29u56qqrKC8vx2Qy8eCDD3L11VezYsUKnn76aTIzM3njjTd44okniI2NZcqUKfj4WCIFf7b6VpatPJeM1TcAlt1RW1sbJn0nt1x9Ga0tzRiNRu6570EuuPCiHuddVVXF1VdfjVarxWg08uKLL7Js2TKnv4tDZc2kxgTZyxuljgtiR349BpMZtdKz65pvj9eSER9CTLBvj+fDAjRMigrkiIfywsY6Xx6toqXTsqjJrtQya3yoR+RmV7SQXdHCWWnRRAf5Dv0GN7LxWA2fHaoE4JlvThARoKG2tQuNSoHeaOat3SX84fw0VqWPGxX/9eeHK9lX3MSTP84gxL/b0uGrVjI+3N8jOyitzsDmvDp+Mj8RP43FR70wOYJdBQ2nPPLWVU5bBeUp9CYzQgjUSsuPLACFgLKGNr799ltuvfVWADZu3MjJkyfZu3cvUkouvvhitm3bRl1dHXFxcaxfvx4pJYUVdRjN3avbqqoq/vznP3PgwAFCQkI488wzmT17tsX3ZTbjq1b1ucDCggJ49j9vERgUjMbYxqozz2Dlqgt6HPPuu+9y3nnn8cc//hGTyURHR8eAYyxv6qCwrp2ypg4a2vS0dxnJKmni0tnx9mOmjgvCYJIU1bczxeqT8gQNbV1klTbxq5WT+3195vhQtuTVjpkb8UBJEze9sZf3bltIenyIR2W/u6eU2BBfqlp07Cyo94iCMpjM3PFOFqWNHQgB85LCeeySdFLHeeYa+exgBbEhvry9egEf7i+jpL6DVenjOGdaDIfKmnl03TF+8U4W1y1I5NFL0lEqBM0dep78OpcFEyN6XOMjYe2hSiZE+HPl3PF9XkuJChyVXKiCujY6ukx268Y3OTXojWYumhlnP2ZRSgTrj1ZR3NDBxMgAt5+DpzhtFVTvnc5ooTea0SgV9smvs7OTa1Ytp6SkmNmz53DOOecAFgW1ceNGZs+eDUBbWxsnT55k2bJl/O53v+O+++7jzHNWETd1Nk3t3YEWe/bsYcWKFURFWQr5Xn311Zw4cYL2LiNI8NP03a34qATPP/k4B/bswM9HTU11JVVV1T0Ux7x587jlllswGAxceumlzJo1q9/xdepNXPC3zTgGAfqoFAT7qVmVPs7+XGqMJZIvt7rVbQrKbJY8vC6HqhYdD104jfHh/n2O2ZxXh5Sw0sH/5MjMhBA+PlBORXMnCWF939+fzJvf3EdsiK89ItBdSCl58qtcWnVGPthXNiIFZTJb8t6mDzPP7URNK/tLmvjDBVP55EAFuwoauGPFpGHLHy6fZpVT2tjBIxdPp6lDz1u7Srjz3Sy+uHspvtaI09Gioa2LrSfquG1ZMilRgTxwflqP15dMimT9L5fy1IY8Xt5WSHOHgRsWTeC3Hx6mormTT7MqmDk+dMQTuMFkZk9hA5fOju83gT8lKoDt+fWYzBKlGxP8f/PhYQpq29jw6+XEh/rx+eFK4kP9mJPYvSBZnBIBWPxQvcdntC66R3JOewob+NNn2cQE+3LhjFhWpY8j1F/j2oAGwS22GiHEKiFEnhAiXwhxfz+v+wghPrC+vkcIkeQOuaOB3mjC5LDD0RvNaFTdX5Ofnx9HDh9i64FjtHV28a9//QuwTE4PPPAAhw4d4tChQ+Tn53PrrbcyZcoUDhw4QEZGBg/96Y+89Nzf7DX1bDhORFJK9EYz1S06lCoVGutFJKVEr7cotnfffZd2bSNbduzh8KFDREVH06nTYXQo/bN8+XK2bdtGfHw8N9xwA2vWrOkzViktJZwmRwfywe0L2fXAWeT/5XzyHj+ffX88m2WTu6vfp0QHoFQItwVKSCl5fP1x1uwqYWteHec9t403dxT1KF8kpeTzw5XEBPuQHh/c7+fMtO4SnDXzrTtSydYTdby/r4yXtha6NIbvTtbx0NpsOq0RldtO1rO3uJEwfzVfHKnEMAI/0D+/PcmFz29n/dGqYb3v3T2laJQKrpg7nkUpEewrbrT7J4cit1rLo+uOsd+ajO0seqOZ5/+Xz8yEEG5cNIF7zp7CM1fPIr+2jWe+OTGs8x8JXxypwmSWXDbILkilVPDABWn84YKprD9axTWv7EahgP/cmImPSsF9Hx8ZccmsoxUttOtNLE7pP1k8JSoQvdFMRZP7oukqmjs5XNZMW5eRP3x6lIa2Lrbn13PRzLge88jEyADGBfv28UPl17Zx9jNbufzfO3oslIdCSslbu0u47tU9dBnNlDV1cP+nR8l8fBP5taPnm3ZZQQkhlMALwPnANOBaIURv7/+tQJOUchLwLPCkq3LdhZSSLqOJxnY9BbVt5Fa3Uu5wQelNlh2UI0IIkuOj+P0j/8fTf/87BoOB8847j9dff522NsuWvqKigtraWiorK/H39+e6667jxp/dRe7Rw7TrTdhuiQULFrBlyxYaGhro1HXx1nsfoNUZMJglUyencPBgFgBr167FYLD4F1paWpgQH0tceCCbN2+mrLTUcq4OgRIlJSVER0dz2223ceutt5KVldVn7NpOAwaT5O6zJrMgOYLYED9UA/iXfFRK0mKD2F3ongKY/95SwOs7irh5SRKb713BvKRwHl53jN9/0j1hvLGjmG0n6rhp8cQBdxNTxwWjUSo4XDZ0NGWX0cTTG/NIiw3mwhmx/G1DLlvyap0639KGDsoau82khXVt/OLtLNbsKuGWN/fR3mXk6Q15JIT58dfLMmjqMLDtRJ1Tn22jukXHy9sKAPjL+uP95tDYrldHdAYTn2aVc176OMIDNCxOiUBnMHOo1LkI08e+OMbrO4q44qVdnP3MVt7eXeJUkMXHB8opb+rknnOm2H+fM6ZE8ZMFifznu0L2FY9usdRPD1YwLTbYKXPi7ctT+Mc1s7hx0QS+uHsZ50yL4cELp7G3uJE1u4pHJN8WJbcwObzf122h5u70Q23ItgQE3bQ4ia0n6rj7vYOYzJKLHcx7YJmjFqV0+6EAdubXc/m/d6DVGTle3cq1/9lNfVsXUkqyK1rIKm0aUO6r3xXx4GfZLJ8SxRe/XMqW361g3V1LueusSSRHuidyuD/cYeKbD+RLKQsBhBDvA5cAjjHUlwAPWx9/DPxLCCGkp8syYLmZWzoNdBnM6Iwm9EYzZutp+KiU+GmUtOqMmKXEbJaYzLLHDsqGj0pJWvoMpqdn8P7773PDDTdw/PhxFi1aBFgCGt5++23y8/O59957EUKBCQV//fs/kNbPBoiNjeXhhx9m0aJFREbHkDp9Br4qwdRxQfzqzp9zySWXMH/+fFauXElAgGWrft1113HRRReRmZnJrFmzSE2dCtBjxb5lyxaeeuop1Go1gYGBfXZQUkpqW7tQKwVnZcQ69d2dkzaO5749QW2rziVn+KZjNTy1IY/LZsfz4I+moVAI3rx5Hs9tOsk/vj2JSiG4eFYcf/nyOOdMi+Fny5MH/CyNSkFaXDCHy4eejN/dU0pZYyf/vSWDeUlhFNS1c/d7B1lzy3xmJ4YN+t47380ir6aVhy6cxuVz4vnF21molYI/XDCV//sqlwv++R0lDR08dcUMVqbFEOav5rNDlaxM6980CdivAZt56OmNeZjN8OzVM/n1B4f59+YCfndeao/3PLg2m6+OVvP26gWkxQYjpeShtdlodUauX5AIwILkCBQCdhY0sCA5gq0n6vjTZ0dJjQlmXlIYF2TE2s2pR8tb2JHfwK9WTiY+1I939pbyp8+y+e/OYv74ozRWpPaMnASLGbJGq+OFzfnMGh/Kiik9+8z94YI0vjtZx53vZDE7MRSNSsmKKVH8eG7CEL+Q8xTWtXG4rJk/XpA29MFWLpkVzyWzundbV8xNYP3RKp78Oo9Og5lr548flrlqV0EDU8cFERHYf/kzx1DzxZMieH17MSvTol0ykX+dU01qTBAPXTiNnMoWdhY0kBIVQFps389clBLB/ztYwb+3FFBQ28bnhyuZGBnA6zfNo6Shg9Vr9nHJv3ZgNJup0XahUgj2/fFswgL6fgf/y61lWmww/7kx024azEgIsfvBRgvhqo4QQlwBrJJSrrb+/wZggZTyLodjsq3HlFv/X2A9ZsA4yMzMTNm7YeHx48dJS3P+guyP/No2OvRGNEoFPmolPioFvmoFvmolfmolWp2RkoZ2kiMtJq2TtW1MiPAnxK/nj2aWkpwKLVFBPowLGXqyrmvtoqqlkykxQeTXthEeoCEu1K/HMeVNHbR0GpgWOzz/g9ksya5sISbYt0+k20BoOw0UN7Sjry8jc1aGU+/Jrday6rnv+Mtl6Vy3YEKP16SU/PL9Q5ydFt1jEuiNlJLL/r2T5g493/zmjB4RgVJKnvnmBM//Lx+VQpAY4c/aO5f0yAPrj4fWZvPJgXKOPHzegHb15g49Z/19K2mxQbx96wKEEJQ1dnD1y7uoae3izjMncfdZk/qNUDSZJdMe+hq1UkFbl5HYEF+qtTr+e/N8lk+JYu2hCn79wSEmRgaw4Z7lqJQK/vTZUT4+UM7+P51jrwJiQ28080lWOS9szkfbaeDe81KZNT6Mi1/Yzu3LknnggjR+/cEh1h+pYuOvl5Nk9SHsL27kipd2oVQIQv3UfPCzRby3t5TXthfxy5WT+c05U+wyLv7XdnxVSp69ZhY/+ud3BGhUaFQKiurbiQzU8PldS4kL9eOud7PYmlfHjgfOIthXjZSSjcdqeOLL4xQ3dHDRzDgevzSdED81Owvq+b+vcsmp1GKyKtc1t1i+g94cLG3i8fXHadMZaek0UK3V8eqNmZw9zaKwjSYz5U2dJIb72xV0Q1sXB0ubWT4lqt9FoSN/+zqXF7cWsPuBlU5f8/1Ro9Xxmw8PsSO/AV+1grvOnMRdZ/UfkONIl9HEjIc38pMFiYP6w2c/upGFyRE0tOnZW9xIbIgvn9+1dEQ1Petau5j/103cfZblty6sa+PC57dz11mT+vU3ljd1sPTJzQCEB2g4a2o0D144jRA/y/20p7CBR9YdIynSn9SYYJ7ddIKnrpjBlZl9Az6W/20zM8eH8vy1s4d93s4ghDggpczs/bw7dlD9zQi9tZ4zxyCEuB24HSAxMdH1M+uF0WSmQ28cdCIP9LFEzbV2GfG3Onl7m/gAFEKgUSmctvO36gz4qJT4qpUE+Kj6+KHAErDgp1YO23GvUAjUSoXTuVA6g4karQ6NUoFK47wjOzUmiAkR/mzIqemjoLJKm1l3uJK6Vl0PBfXFkUoKatv55cpJCCE4UNLEobJmHrtkeh9lIITgN+dMQQAf7C/jlRsyh1ROADMTQlmzq4TCujYmO6xObXbz9UeqyCptwmiW3L8qzf79jg/356t7lvPIuhz++e1J/pdbw18uzbD7tWxUNnfSZTTz54umo9UZeHpDHr89Z4p9Yr5kVjyJ4f6EB2jsJtLLZsfz9u5SNmRX8+O5CUgpOV7VypdHq/g0q5zKFh0zE0JICPPjwbU5aJQKQv3U3HGmZaJ54PypbMyp5v5Pj/D6TfNQKxX86bNs4kJ8eeXGTG56Yx8X/2s7HXoTNy1O4tdn95xUF6VE8Pr2Iu54JwujSfL26gVMjAwgt1rLFS/u4va39vPMVbP48mgVty1PJtj6PQshOG/6OM5MjeblrQU89+1JDhQ3kpEQwoacGsaH+/HzM5KJC/UjLTaYOQPsPGcnhvHJLxYDluvtypd28esPD7HurqWYpeSeDw5xpLyFMH81i1MiqW/rYl9xI2YJ95w9mXvOtihbo8nME1/lIoDkqECEgA/2lXGorJmzpka7pJwAYoJ9eWf1QnKrtTzxZS7PfHOCa+cnDrgrsnGwtJkuo5lFyRGDHjcpOpCvsqvRqBT87twp/GtzPne8c4B3Vi8cUgn3ZtPxGqSEVdMtwUvJUYHsun8lgb79T+MJYf58+LNFBPupmBId1CeQY0FyBF/+ypJ6IqXkw/1lbMip7qOgzGZJVUsnFzhpaXEn7lBQ5YDjiBKAygGOKRdCqIAQoI+BWkr5CvAKWHZQbji3HtjKAfVOfHVEqRAEWM18ttX4QBeSj0oxYNFWs9lSIslHrcRklrTrTURat86BPiqqdJ3ojSY0KouCMEuJzmgmMnBkETEapcKeVDwQ7V1GKps76TSYEAjGh/tR1ey8MrRNXm/sKEKrM9gnNYAP95UBkFXSjM5gskdwPbfpJPm1bcQE+3DNfItvItRfzRX9hOXaZPzm3FR+7eDXGAqbQjlU1txDQe3Ib+ChtTmkxgRxy5KJnJc+ro9JIsRPzTNXzeLcaTE8tDaHS/+9g+sWJPL7VVPt47P5ECZFBzJ/Yjg/XZRkzzex0dtEOCcxjPHhfvzj25N8klVOQV0bNdouFAIWp0TyxI9nsHyyxbn+xZEqnt10gjtXTLKvbqODfXn0knTu/fgwV7+8m6WTI8mtbuXlG+aSHh/Cu7ct4PpX93DRjDgeunBan+9qcUokL28t5HBZM89fO9seyTV1XDDPXT2L297azxUv7kSpENyypG81e41Kwd0rJ7NsShT3vH+QLXl1/PrsKfzsjORhR+f5qpW8eP0cLnx+Oze8vof6Vj0alYL7Vk0lv7aNXQX1BPmquevMSRwsa+a174q4aXESof4aPj5Qzmvbi3pc3ylRATx04TSuzHSfyXDquGB+vyqVrSfq+OZYDdfMH3yBvKugAYWwTPKDMS8pnMK6dl6+YS6ZSeFMiAjg7vcO8vC6HP56WbflwmSW/G1DLlfOTWBSdPc1XKPV4a9REuSr5qvsaiZE+Pcw5znmXvXH/In9+8d6Y7u3395TQluXsceuv7a1C4NJEh/mN8gnjA7uUFD7gMlCiIlABXAN8JNex3wO/BTYBVwB/G+k/idX8l1aO42oFAp7wdWBCPJVUdWio6NLgVIh7HXweuOjVtDaZexzTlJKShs70OoMRAf54qdRIKW0K0bL51vq7EUEdhd/lVIOeW4DoVFZzE+DUa3VYTBJ4kL9CPFTo1IIhhcrBudNj+GVbYVszq2175Tau4x8caSS8eF+lDV2cqCkiSWTIilpaCe/to0gHxUPfZ5DiJ+ajcdquHPFpD4TfG+G8xsnRwYQ5KPiSHlLj9Xfe/tKCfVXs/auJUNOqqvSY1k8KZJnNp5gza5iTGZ44nLLBGKrBpAcZZnkhzp32/nfsmQiL2zOp9NgYklKJHOTwjhv+jgie63OL5oZ1yOHxcaP5yYQ6q/m7vcOcrSihbOmRnOu1UQ2JSaIXQ+sHNCkOS8pjGBfFZfOju/z2WdPi+F356by1IY8rspMGHQXMmt8KF/fs5wOvYnwfnwTzpIQ5s8/r5nNzW/uY2FyOH+/cla/pvHcai3n/+M7XtlWyN1nTebZTSeYnRjKxz9fTFVLJ9pOI2mxQaOS8zYtNpjEcH++zK52SkGlx4fYFxQD8dtzU/ntuan23+mimXFkV7bw8tZCrs4cb19c7S1q5OWthRTUtvPqTy2WruYOPSv/vhW90cyyyZHszK/n1qUDBwy5yvkZ43h9RxGbc2t7XDMVzZbgoITQ01BBSSmNQoi7gA2AEnhdSpkjhHgU2C+l/Bx4DXhLCJGPZed0zUhk+fr60tDQMKKWG1JKWrssq/6h3hvkq6aqRYdWZxh0MvJRKS3h3yYzPqru4xrb9Wh1Bvw1SmpbdSiEQCEE/tZViY9Kgcbqz7CZEmyhys5Mfv2hUSkwdJgxm2W/ORkms5mOLhORQRoiA33s/aB8fYdnIpk9PoyoIB825tTYFdSXR6to15v41yXprP7vfnYVWBoJfnvcEiH331vn84u3D/CLd7LQKBXcuHjCYCKGjcJakskxUKKhrYuNOdVcv3CC0yv+YF81D188ncrmTnY5hOcW1rUR4qcmYpgT9M1LJnJzP7uT4bAyLYYPf7aIF7cW8MD5U3tcu4PlsfhrVOx8YCUBA1xPd6xIITHcn2WTh+6n5atWuiWnafmUKPb+YSVh/poBG39OHRfMRTPieGNHMV1Gi/P++WvnoFQIS57b4LEsLiGE4PyMcbz2XREtHYYBdyedehMHy5r63Xn2pr/f6I4Vk3h9exHrj1bZFdRX2VZS5Q0AAA53SURBVJal4qbjNeTXtjEpOpB39pTS1mXk2vnj2ZpXh0nKfhcy7mJOYhiRgT58nV3dQ44tqvl03UEhpfwS+LLXcw85PNYBV7oqJyEhgfLycurqhhe+CxbHdG1rF7oADW01Q99sDS2WvCJ/jRJjQ/8Tk+0zTY0a+w1sMJmps5ZaUQX4YDAYae4w4KtWkqft/pymDj2dehNtIb4ohLD/X906sougQ2+ksd0AzT79Ovo79SYa2vWYgjQ0W5WpraPucFAoBOdMi2HtwQq7Ke+j/eVMjAxgxZQoZiSEWHMvUvk2t4ZJ0YHMSQzj+WvncO1/dnPZ7PhRKYczIyGU17YX0t5lJMBHxadZFRhMkmuHWAn3R2ZSGBuP1VDX2kVUkA+Fde0kRwWcskoV6fEhvPCTOcN+X+/gDEeEEKM62Q3EUL4dsPigvjhSyWvbizg7LdppM5U7OD89lpe3FvLN8RquGCDqcHt+PQaTZFHK4Oa9gQjxU7NschTrj1TxwPlTkRK+yq5mwcRwDpU189r2Qh65OJ3/7ixm2eRInrh8BlJKGtv1Tn1/I0WpEJw7PYbPHO5twF4VPf503EF5ErVaPWD316H4+8Y8XthczMEHzx3Sbguw5tOjvLe3lF+sSOG+zKn9HtPUrueSx77hTz9KY/WyZIwmM5e/uJPSxg423LPcbjpp6TCgVgl7XTuAAyWN/OTFXfaIuAuf/45QPw1vrx7+RASWCK/b3tvFGzfP48x+QoPv/+QI64/UkfXQOS7X0js/fRzv7inl+lf3cGVmAnuLG/n9qlSEECxOieDlrYVUt+jYU9jIrcssv9f8ieFs+s0ZxIWOTq22s9OieXlbAb96/yAvXT+X9/aVMicxdEQhvXMnWCbEAyVNrEofR0FdW7+Ral5Gh+SoQH48J4FPssq597z+773RYmZCCHEhvnydXTWggvpofxmRgRqXujlfkBHL/3JrOVzeYl/UPnjhNFKiA/n4QDnJkYHUtnbxtytmANYGo6OonGzY7u3vTtZzjtWcXNHUSai/2t7qxpP8YKqZb86rZU5imFPKCeDMVMuENH6Q8jlhARrCAzR2J/r2/HqOlLfw0IXTetj1Q/zVPZQTWLbTabHBvL27lC6jibzqVpdqtyVa81ock0ltSCnZeqKOJZMi3VLodemkSB6/NJ2K5k7u++QoCgE/nmO5mRclR2I0S575Jg+jWfYoUTQxMqCHKdSdZCaF88jF09l0vJYbXttLYV37kH6EgUiPD0ajUrC/uJFWnYHa1i67/8mLZ3j44ul8ftdSj9X0syGEYFV6LNtO1Nu7CThS19rF/3JruXxOgkv30jnTYlArBV8ereLLo1VoVArOmhrN6qUTMZjM/PWr40yKDuQMDy+MFiZHEOKn5huHDgEVzZ2nZPcEPxAFVduqI7tCy5lT++4sBuKM1Ch+fkYK504fONESLA56mxP980OVBPuq+NGMocMxhRBcvzCR41Va3ttTisEkyXBBQUUF+eCjUlDa0FdBnahpo6pFx4pU91zslnOfwJZ7V/DE5Rn85bIMu0KeOyEMjVLBRwfKCfFT96gPNtrcuCiJn52RzK7CBoJ8VFzoxO/QHz4qJbMSQtlf0mRvODea2fJe+hLgo/J4sV0bF2SMQ28y26ukO/LZwQqMZslVLkYQhvipWTopkvVHqvg6u5ozpkQR6KMiOSqQc9JikJJRDYgYCLVSwZzE0B6lwyqaOkk4Bf4nOM1MfMOhqV3PX788zomaVk7UWHY4w5mgfVRK7j9/aPNCSlQg3+bW0Kk3sSHH4lx0dpdw6ax4nvgyl79vtNQtc0VBCSFIDPentJ8dlK2czxluUlA2fFTKPj4eP42SWYmh7C1q5MzUqAFLJ40W9503FYUQxIX69dm1Doe5SWG8+l0hx6ostQcnRXt3UD8U5iSGMTk6kAc/y2b9kUp+tXIKi1IikFLywf4y5iSG9ggFHykXZMSyOc/Sruf3q7orhvzuvFRC/NSD1hgcTabFBbPtZD06gwkflYKK5s4edTk9yfd2B+Xvo+S7k/UE+qq4dn4iz187297t0p2kRAdQ36bnk6xy2vUmLp7lvOM5wEfF5XPiae0yEuKnZny4a6uUxHB/sitaePLrXO58J4u3dhVjNJnZeqKO1JggYkM8swqyVVI+a5AyP6OFQiG4b9VUbljoWqRg5oQwDCbJ/8uqQKkQJIZ7FdQPBYVC8NmdS/jTj9Ioqm/n2v/s5r6Pj/DdyXrya9u4qp9KCyPh3GnjUCstrXwcu0VPiQniqStnjno1+IGYHheCySw5WdNGc4eBDr3plETwwfd4B+WjUrL7DytHXY7N9PPC5nzGBfuycOLwInuuXziBNbtKyIgPcXk7PzU2iG9za3n1u0IiA31Yf7SKt3aXUFTf7lRIrLv48ZwEiuvbWTkMk+pYY+4ESzzz3uJGJkYGDDvr38vpTYCPitXLkrl+4QT+8e1JXt5awIcHyvBTK50y4TtDiL+ay2dbTIVD5VN5kmmxls4BOZXdZr5T5YP63iooT2GrWFzVouP25ckD5ncMxJSYIH6xIoWZCa77au45ewrXzEskNsQXpUKw8VgNf/3yOAaT5CwPKovx4f48d83o1OzyFKH+GiZFB5Jf20byadzwzYtr+KqV3LdqKudMi+EPnx5l+ZQop8pvOcuT1ii9sURiuD+BPiqOVWkJtQaVeX1Qpynjw/xQKwUGk+SSYZj3HLlvlXtCadVKRY+mf+dNH8eK1Chyq1r71JfzMjSZE8LIr22zL0K8/HCZkxjG1/csP9Wn4REUCkFabBA5lVp7dLA3iu80RaVUkBQRwOToQPvWeCzho1J6ldMIyUyy5EN5d1BefmhMjwvheJWW8qZO/DVK+07K03h3UG7gb1fMwEc1/CrkXsY2K1KjWDIpgqVOlAPy4uX7xLTYYDr0JnYW1BMf6nfK5jaXdlBCiHAhxDdCiJPWf/utlCWE+FoI0SyE+MIVeWOV2Ylh/7+9uwuxoozjOP795UnFVgt8w5d0C7Ww0NQNDCoNK4hQK/EierlQCaOLoosw6MJQSKwgJCgWCowy0IsoqZCSUgmhVtN1NdlSerEWLb0xDJX6dzHPqZPtup1znp1nTuf/geHMec7M7PNjZueZl4cZpo8v3tmTq8+oliG8tWJu9gw455pIeX/WffzXZD34oP5LfKuA7WY2FdgevvfmeeChOv+Wc865HEwd20IpdPhKdf8J6m+gFgMbw/hG4J7eJjKz7cDpOv+Wc865HAwpDWJK6BzUyGdQY82sByB81tWXWdIjkjokddTyxHLnnHNxlB9sUOgzKEkfS+rqZVgcuzJm1m5mbWbWNnq0Pz3aOedSKd+HSnkPtt9efGZ2e1+/STouaZyZ9UgaB5yIWjvnnHNJLJw5jh9OneH6Cek6gNV7ia/8KnfC57t1Ls8551wBjBk+lNWLrhuwV+T8FzKz2meWRgKbgUnA98BSMzslqQ1YaWYrwnS7gGuBFuAksNzMtvWz7J+B72quXDyjgF/6ner/ybM3J8/enFJmn2xm/7qvU1cD1QwkdZhZW+p6pODZPXuz8ezFyu6POnLOOVdI3kA555wrJG+g+teeugIJefbm5NmbU+Gy+z0o55xzheRnUM455wrJGyjnnHOF1HQNlKTXJZ2Q1FVRNlPSbkkHJG2VNCKUt0r6TdK+MLxaMc+cMP03kjaoAV4GFSO7pGGS3pd0WNJBSetS5alGrPVeMe97lcsqsojb/GBJ7ZK6w/pfkiJPtSLmvz9M3xleIVT4F4VVkz38NiP8djD8PjSUp9nfmVlTDcCtwGygq6LsC2BeGF8GrAnjrZXTXbCcz4GbAAEfAnelzpZHdmAYcFsYHwzsapbsFfPdB2y62DRFGiJu888Ca8P4JcCo1Nnyyk/2WLgT5czAemB16myRs5eATmBm+D4SGBTGk+zvmu4Mysx2AqcuKL4G2BnGPwIuemQYnjs4wsx2W7b23qCPV40USYzsZnbGzD4J4+eAvcDEyFWNLkZ2AEktwJPA2qgVHECxspPtzJ4Ly/zDzBriiQuR8isMl4WzhxHATzHrORCqzH4n0Glm+8O8J83s95T7u6ZroPrQBSwK40uBKyt+u0rSl5J2SLollE0AjlVMcyyUNaJqs/9F0hXAQrKXVTaiWrKvAV4EzuRUx4FSVfawrgHWSNoraYuksTnWN7aq8pvZeeBR4ABZwzQdeC3H+sbUV/ZpgEnaFtbxU6E82f7OG6jMMuAxSXuA4cC5UN4DTDKzWWRHzZvC9drerr82an/9arMDIKkEvA1sMLOjOdc5lqqyS7oBmGJm76SpblTVrvcS2ZnyZ2Y2G9gNvJB/taOpdt1fStZAzQLGk10Kezr/akfRV/YScDPwQPi8V9ICEu7v+n3dRjMws8Nkp7dImgbcHcrPAmfD+B5JR8iOMo7xz8taE2mA0/3e1JC9I8zaDnxtZi/lXulIash+IzBH0rdk/ztjJH1qZvPzr319asi+h+yssdw4bwGW51ztaGrIr1B2JMyzGViVf83r11d2sv3ajvKlW0kfkN2/epNE+zs/gwIkjQmflwDPAOUea6MlDQrjVwNTgaOWvT34tKS54Xr0wzToq0aqzR6+rwUuB55IUedYaljvr5jZeDNrJTvC7G7Exglqym7AVmB+WMQC4FDO1Y6mhu3+R2C6pPITt+8Avsq73jH0lR3YBsxQ1lO3BMwDDiXd36XuZZL3QHZZqgc4T3bEsBx4HOgOwzr+fsLGEuAgsJ+sM8DCiuW0kV3LPQK8XJ6nyEOM7GRHT0b2z7kvDCtSZ8trvVcsr5XG6cUXa5ufTHZzvZPsvuOk1Nlyzr8ybPedZI31yNTZYmYP0z8Y8ncB6yvKk+zv/FFHzjnnCskv8TnnnCskb6Ccc84VkjdQzjnnCskbKOecc4XkDZRzzrlC8gbKOedcIXkD5ZxzrpD+BPkEsFK9n+RHAAAAAElFTkSuQmCC" 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31
#这里我们可以看到趋势,季节性从数据中分离出来我们可以对残差进行建模。检验残差的平稳性:

ts_log_decompose = residual
ts_log_decompose.dropna(inplace=True)
test_stationarity(ts_log_decompose)
#Dickey-Fuller检验统计量显著低于1%的临界值(p值<0.05)。所以这个TS非常接近于静止。您还可以尝试高级分解技术,这些技术可以生成更好的结果。另外,您应该注意,在这种情况下,将残差转换为未来数据的原始值并不十分直观。
 
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" alt="">
 
Results of Dickey-Fuller Test:
Test Statistic -6.332387e+00
p-value 2.885059e-08
#Lags Used 9.000000e+00
Number of Observations Used 1.220000e+02
Critical Value (1%) -3.485122e+00
Critical Value (5%) -2.885538e+00
Critical Value (10%) -2.579569e+00
dtype: float64

 
5.预测时间序列

我们看到了不同的技术它们都能很好地使 TS 静止。让我们在差分后的TS上做模型,因为这是一种非常流行的技术。此外,在这种情况下,在预测残差中添加噪声和季节性因素也相对容易。执行趋势和季节估计技术后,可以出现两种情况:

一个严格平稳的序列,各值之间不依赖。这是一个简单的例子,我们可以把残差建模为白噪声。但这种情况非常罕见。
值之间具有显著相关性的序列。在这种情况下,我们需要使用一些统计模型,如ARIMA来预测数据。
让我给你简单介绍一下ARIMA。我不会详细介绍技术细节,但是如果您希望更有效地应用这些概念,您应该详细了解这些概念。ARIMA代表自回归综合移动平均线。平稳时间序列的ARIMA预测只不过是一个线性(类似于线性回归)方程。预测因子依赖于ARIMA模型的参数(p,d,q):AR(自回归)项数§: AR项只是因变量的滞后。例如,如果p是5,那么x(t)的预测器将是x(t-1)……x(t-5)。
MA(移动平均)项数(q): MA项是预测方程中的滞后预测误差。例如,如果q是5,x(t)的预测因子将是e(t-1)…e(t-5)其中e(i)是第i个时刻的移动平均线与实际值之间的差值。
差异数量(d):这些是非季节性差异的数量,即在本例中我们取一阶差异。所以我们要么传递这个变量,让d=0,要么传递原始变量,让d=1。两者将产生相同的结果。
这里的一个重要问题是如何确定“p”和“q”的值。我们用两个图来确定这些数字。让我们先讨论一下。 自相关函数(ACF):它是一种度量TS与自身滞后版本之间相关性的方法。例如,在滞后5时,ACF会将瞬时“t1”…“t2”的序列与瞬时“t1-5”…“t2”的序列进行比较(t1-5和t2是端点)。
部分自相关函数(PACF):该函数测量TS与自身滞后版本之间的相关性,但在消除了已经由中间比较解释的变化之后。在滞后5时,它将检查相关性,但删除已经由滞后1到滞后4解释的影响

32
#经差分后的TS的ACF和PACF图可以绘制为:

#ACF and PACF plots:
from statsmodels.tsa.stattools import acf, pacf lag_acf = acf(ts_log_diff, nlags=20)
lag_pacf = pacf(ts_log_diff, nlags=20, method='ols') #Plot ACF:
plt.subplot(121)
plt.plot(lag_acf)
plt.axhline(y=0,linestyle='--',color='gray')
plt.axhline(y=-1.96/np.sqrt(len(ts_log_diff)),linestyle='--',color='gray')
plt.axhline(y=1.96/np.sqrt(len(ts_log_diff)),linestyle='--',color='gray')
plt.title('Autocorrelation Function') #Plot PACF:
plt.subplot(122)
plt.plot(lag_pacf)
plt.axhline(y=0,linestyle='--',color='gray')
plt.axhline(y=-1.96/np.sqrt(len(ts_log_diff)),linestyle='--',color='gray')
plt.axhline(y=1.96/np.sqrt(len(ts_log_diff)),linestyle='--',color='gray')
plt.title('Partial Autocorrelation Function')
plt.tight_layout() #在这个图中,0两边的虚线是置信区间。这些可以用来确定“p”和“q”的值如下:
#p - PACF图第一次越过上置信区间时的滞后值。如果你仔细观察,这里p=2。
#q - ACF图第一次越过上置信区间时的滞后值。如果你仔细观察,这里q=2。
 
/Users/christopher/opt/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/stattools.py:541: FutureWarning: fft=True will become the default in a future version of statsmodels. To suppress this warning, explicitly set fft=False.
warnings.warn(msg, FutureWarning)
 
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" 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现在,让我们制作3种不同的ARIMA模型,考虑单独的和组合的效果。我还将为每个人打印RSS。请注意,这里的RSS用于残差值,而不是实际的系列

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from statsmodels.tsa.arima_model import ARIMA

#可以使用ARIMA的order参数指定p、d、q值,该参数接受一个元组(p、d、q)。让我们对这3种情况建模:

#AR MODEL

model = ARIMA(ts_log, order=(2, 1, 0))
results_AR = model.fit(disp=-1)
plt.plot(ts_log_diff)
plt.plot(results_AR.fittedvalues, color='red')
plt.title('RSS: %.4f'% sum((results_AR.fittedvalues-ts_log_diff)**2))
 
/Users/christopher/opt/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:165: ValueWarning: No frequency information was provided, so inferred frequency MS will be used.
% freq, ValueWarning)
/Users/christopher/opt/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:165: ValueWarning: No frequency information was provided, so inferred frequency MS will be used.
% freq, ValueWarning)
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Text(0.5, 1.0, 'RSS: 1.5023')
 
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" alt="">

34
#MA Model

model = ARIMA(ts_log, order=(0, 1, 2))
results_MA = model.fit(disp=-1)
plt.plot(ts_log_diff)
plt.plot(results_MA.fittedvalues, color='red')
plt.title('RSS: %.4f'% sum((results_MA.fittedvalues-ts_log_diff)**2))
 
/Users/christopher/opt/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:165: ValueWarning: No frequency information was provided, so inferred frequency MS will be used.
% freq, ValueWarning)
/Users/christopher/opt/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:165: ValueWarning: No frequency information was provided, so inferred frequency MS will be used.
% freq, ValueWarning)
34
Text(0.5, 1.0, 'RSS: 1.4721')
 
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" alt="">

35
#Combined Model

model = ARIMA(ts_log, order=(2, 1, 2))
results_ARIMA = model.fit(disp=-1)
plt.plot(ts_log_diff)
plt.plot(results_ARIMA.fittedvalues, color='red')
plt.title('RSS: %.4f'% sum((results_ARIMA.fittedvalues-ts_log_diff)**2))
 
/Users/christopher/opt/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:165: ValueWarning: No frequency information was provided, so inferred frequency MS will be used.
% freq, ValueWarning)
/Users/christopher/opt/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:165: ValueWarning: No frequency information was provided, so inferred frequency MS will be used.
% freq, ValueWarning)
35
Text(0.5, 1.0, 'RSS: 1.0292')
 
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" alt="">

 
# 在这里,我们可以看到AR和MA模型拥有几乎相同的RSS,但是合并起来要好得多。现在,我们只剩下最后一步,即将这些值恢复到原来的比例。

36
#回到原来的比例

#由于组合模型给出了最佳结果,因此我们可以将其缩放回原始值并查看其在那里的表现。第一步是将预测结果存储为单独的系列并观察它。

predictions_ARIMA_diff = pd.Series(results_ARIMA.fittedvalues, copy=True)
print(predictions_ARIMA_diff.head())
 
Month
1949-02-01 0.009580
1949-03-01 0.017491
1949-04-01 0.027670
1949-05-01 -0.004521
1949-06-01 -0.023890
dtype: float64

 
Notice that these start from ‘1949-02-01’ and not the first month. Why? This is because we took a lag by 1 and first element doesn’t have anything before it to subtract from. The way to convert the differencing to log scale is to add these differences consecutively to the base number. An easy way to do it is to first determine the cumulative sum at index and then add it to the base number. The cumulative sum can be found as:

39
predictions_ARIMA_diff_cumsum = predictions_ARIMA_diff.cumsum()
print(predictions_ARIMA_diff_cumsum.head())
 
Month
1949-02-01 0.009580
1949-03-01 0.027071
1949-04-01 0.054742
1949-05-01 0.050221
1949-06-01 0.026331
dtype: float64

40
#您可以使用以前的输出快速进行一些回溯计算,以检查这些计算是否正确。接下来我们要把它们加到底数上。为此,让我们创建一个以所有值为基数的系列,并将差异添加到其中。可以这样做:

predictions_ARIMA_log = pd.Series(ts_log.ix[0], index=ts_log.index)
predictions_ARIMA_log = predictions_ARIMA_log.add(predictions_ARIMA_diff_cumsum,fill_value=0)
predictions_ARIMA_log.head()
 
/Users/christopher/opt/anaconda3/lib/python3.7/site-packages/ipykernel_launcher.py:3: FutureWarning:
.ix is deprecated. Please use
.loc for label based indexing or
.iloc for positional indexing See the documentation here:
http://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#ix-indexer-is-deprecated
This is separate from the ipykernel package so we can avoid doing imports until
40
Month
1949-01-01 4.718499
1949-02-01 4.728079
1949-03-01 4.745570
1949-04-01 4.773241
1949-05-01 4.768720
dtype: float64

41
#这里第一个元素是基数本身,并且从那里累加的值。最后一步是取指数并与原始系列进行比较。

predictions_ARIMA = np.exp(predictions_ARIMA_log)
plt.plot(ts)
plt.plot(predictions_ARIMA)
plt.title('RMSE: %.4f'% np.sqrt(sum((predictions_ARIMA-ts)**2)/len(ts)))
41
Text(0.5, 1.0, 'RMSE: 90.1045')
 
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" 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