{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Electricity Demand Forecasting for Austin, TX\n",
"\n",
"Final project for CMU 15-688 (Practical Data Science)\n",
"- Spandan Gandhi\n",
"- Harrison Van Til"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"![transmission towers image](http://www.tdworld.com/sites/tdworld.com/files/styles/article_featured_standard/public/towers-TebNad.jpg?itok=4cfkGQqZ)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Contents\n",
"\n",
"1. [Introduction](#intro)\n",
"2. [Data Collection](#collect)\n",
" - [Electricity Demand Data](#demand)\n",
" - [Weather Data](#weather)\n",
"3. [Feature Engineering](#features)\n",
"4. [Designing Models](#design)\n",
" - [Monthly Averages Model: SARIMA](#monthly)\n",
" - [Hourly Residuals Model: Regression](#hourly)\n",
" - [Baseline](#baseline)\n",
" - [Linear Regression](#linreg)\n",
" - [Gradient Boosted Regression](#gbr)\n",
" - [Multi-Layer Perceptron Regression](#mlp)\n",
"5. [Evaluating Final Models](#evaluate)\n",
"6. [Summary & Future Work](#summary)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\n",
"## 1. Introduction"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Accurate forecasts for electricity demand are important for electric utilities and regional transmission organizations. Long term forecasts can reduce investment risk, medium term forecasts help in planning fuel purchases and scheduling plant maintenance, and short term forecasts are essential in matching electricity generation and demand for grid reliability.\n",
"\n",
"This project focuses on medium term forecasting, specifically making one-week-out forecasts at a resolution of one hour for Austin, Texas. Historical electricity demand and weather data from 2002-2017 is used. A combination of timeseries analysis and regression models are used to make forecasting predictions, which are compared against the observed hourly electricity demand for a series of one-week intervals. "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\n",
"## 2. Data Collection"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\n",
"### Electricity Demand Data"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The Electric Reliability Council of Texas (ERCOT) provides historical electricity demand data, available [here](http://www.ercot.com/gridinfo/load/load_hist/). The demand data for each year is segmented by weather zones, as seen in the schematic below. This project chose to focus on the South Central weather zone, using corresponding weather data for the city of Austin. "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"![ercot zones image](https://i.imgur.com/Ch9A0wh.png)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The following code defines helper functions for loading the raw data into a Pandas dataframe, taking into account different formatting among different years. "
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"import numpy as np\n",
"import pandas as pd\n",
"import matplotlib.pyplot as plt\n",
"%matplotlib inline\n",
"plt.rcParams['figure.figsize'] = (7, 5)\n",
"plt.rcParams['figure.dpi'] = 125\n",
"\n",
"# --- helper functions for loading/processing ERCOT data ---\n",
"\n",
"def convert_ts_02to16(r):\n",
" \"\"\"converts timestamp string to datetime index for the years 2002 to 2016\"\"\"\n",
" t=str(r.year)+'-'+str(r.month)+'-'+str(r.day)+' '\n",
" if r.minute > 30:\n",
" t += str(r.hour)\n",
" else:\n",
" t += str(r.hour - 1)\n",
" t += ':0'\n",
" return pd.to_datetime(t)\n",
"\n",
"def convert_ts_17(r):\n",
" \"\"\"converts timestamp string to datetime index for the year 2017\"\"\"\n",
" h = int(r[11:13])-1\n",
" if h < 10:\n",
" return pd.to_datetime(r[:11]+'0'+str(h)+r[13:])\n",
" else:\n",
" return pd.to_datetime(r[:11]+str(h)+r[13:])\n",
" \n",
"def process_02to16(filename, load_col):\n",
" \"\"\"loads excel data into dataframe for the years 2002 to 2016\"\"\"\n",
" df=pd.read_excel(filename, parse_cols='A,'+load_col, names=['time','load'])\n",
" df['time'] = df['time'].apply(convert_ts_02to16)\n",
" return df\n",
"\n",
"def process_17(filename, load_col):\n",
" \"\"\"loads excel data into dataframe for the year 2017\"\"\"\n",
" df=pd.read_excel(filename, parse_cols='A,'+load_col, names=['time','load'])\n",
" df['time'] = df['time'].apply(convert_ts_17)\n",
" return df"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The raw data files are downloaded and stored in a local directory. The following code block calls the above helper functions to load the data into a single dataframe. Some basic processing is performed, such as converting timestamps to datetime indexes, removing duplicate entries (by taking an average of values with the same timestamp), and filling missing values (by backfilling from the next available entry). In total, there are over 140k data points at hourly resolution in the dataset."
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
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AflUbrp+yEfO2VSXU/tEFO1HdZsZCikREiWDiQUSWK6rrwOTVpWjmqs5ECbvipWysKmzA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"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# setup list of filenames\n",
"path = 'ercot_data/'\n",
"suffix_02to14 = '_ERCOT_Hourly_Load_Data.xls'\n",
"fname_15 = 'native_Load_2015.xls'\n",
"filenames = []\n",
"for year in range(2002, 2015):\n",
" filenames.append(path + str(year) + '_ERCOT_Hourly_Load_Data.xls')\n",
"filenames.append(path + 'native_Load_2015.xls')\n",
"for year in range(2016, 2018):\n",
" filenames.append(path + 'native_Load_' + str(year) + '.xlsx')\n",
"\n",
"# load each file into a dataframe\n",
"df_list = []\n",
"year = 2002\n",
"for filename in filenames:\n",
" if year < 2017:\n",
" df_list.append(process_02to16(filename, 'H'))\n",
" else:\n",
" df_list.append(process_17(filename, 'H'))\n",
" year += 1\n",
" \n",
"# combine into one dataframe and set datetime index\n",
"ercot_df = pd.concat(df_list)\n",
"ercot_df.set_index('time', inplace=True)\n",
"\n",
"# fix missing/duplicate values\n",
"ercot_df = ercot_df.groupby('time').mean()\n",
"ercot_df = ercot_df.asfreq('H', method='pad')\n",
"\n",
"# plot and show first 5 rows\n",
"plt.plot(ercot_df['load'])\n",
"plt.ylabel('Electricity Demand [MW]')\n",
"ercot_df.head()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\n",
"### Weather Data"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Temperature, humidity, and other weather features are known to impact electricity consumption. This section covers the data collection process for acquiring weather data. \n",
"\n",
"Weather Underground provides an historical weather data API, which is found [here](https://www.wunderground.com/weather/api/). First, an API key must be obtained from Weather Underground. Next, a parser is built to extract relevant data from a single API endpoint. Finally, the data scraping script is extended to page through all dates of interest to compile hourly weather data from 2002-2017 into a single dataframe.\n",
"\n",
"This first code block defines helper functions for converting timestamps to datetime indexes, taking care to round timestamps to the nearest hour (to align with the electricity demand data)."
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"import io, time, json\n",
"import requests\n",
"from bs4 import BeautifulSoup\n",
"from datetime import datetime\n",
"import re\n",
"from datetime import timedelta\n",
"\n",
"def to_datetime(x):\n",
" \"\"\"converts timestamp string to datetime object\"\"\"\n",
" return datetime.strptime(x, '%B %d %Y %I:%M %p')\n",
"\n",
"def hour_rounder(t):\n",
" \"\"\"rounds to nearest hour by adding a timedelta hour if minute >= 30\"\"\"\n",
" return t.replace(second=0,microsecond=0,minute=0,hour=t.hour) + timedelta(hours=t.minute//30)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"This second code block is the heart of the data collection process. It scrapes a single webpage of weather data, returning two dataframes of weather data as well as the url for the next page."
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def one_day(url):\n",
" \"\"\"web scraper to collect weather from single page\"\"\"\n",
" day = requests.get(url)\n",
" soup = BeautifulSoup(day.text, 'html.parser')\n",
" a=soup.find_all('div', attrs={'class':'high-res'})\n",
"\n",
" date = soup.find_all('h2', attrs={'class':\"history-date\"})\n",
" date = date[0]\n",
" date = date.text\n",
" \n",
" try:\n",
" a=a[0]\n",
" rows=[]\n",
" b = a.find_all('tr')\n",
" for i in range(1,len(b)):\n",
" c = b[i].find_all('td')\n",
" rows.append(c)\n",
" \n",
" e = b[0].find_all('th')\n",
" cols=[]\n",
" for header in e:\n",
" cols.append(header.text)\n",
"\n",
" weather = pd.DataFrame(columns = ['Time', 'Temp (F)', 'Humidity', 'Wind Speed', 'Condition'])\n",
" data = []\n",
" for k in rows:\n",
" row={}\n",
" time = k[0].text\n",
" time = date+' '+time\n",
" time = re.sub(r'.*day,', '', time)\n",
" time = time.replace(',','')\n",
" time = time[1:]\n",
" try:\n",
" temp = k[1].find('span', attrs={'class':'wx-value'}).text\n",
" except:\n",
" temp = None\n",
" \n",
" if len(cols)==13: \n",
" hum = k[4].text\n",
" hum = hum[:-1]\n",
" try:\n",
" wind_spd = k[8].find('span', attrs={'class':'wx-value'}).text\n",
" except:\n",
" wind_spd = k[8].text\n",
" cond = k[12].text\n",
" \n",
" if len(cols)==12:\n",
" hum = k[3].text\n",
" hum = hum[:-1]\n",
" try:\n",
" wind_spd = k[7].find('span', attrs={'class':'wx-value'}).text\n",
" except:\n",
" wind_spd = k[7].text\n",
" cond = k[11].text\n",
" \n",
" row[\"Time\"]=time\n",
" row['Temp (F)']=temp\n",
" row['Humidity']=hum\n",
" row['Wind Speed']=wind_spd\n",
" row[\"Condition\"]=cond\n",
" data.append(row)\n",
"\n",
" weather = weather.append(data,ignore_index=True)\n",
" \n",
" try:\n",
" weather['Temp (F)'] = weather['Temp (F)'].astype('float64')\n",
" except:\n",
" pass\n",
" \n",
" try:\n",
" weather['Humidity'] = weather['Humidity'].astype('float64')\n",
" except:\n",
" pass\n",
" \n",
" weather['Time'] = weather['Time'].apply(lambda x: hour_rounder((pd.to_datetime(to_datetime(x)))))\n",
" weather = weather.replace(['N/A','\\n -\\n'], 50.0)\n",
" weather1 = weather.copy()\n",
" weather1['Humidity'] = weather1['Humidity'].astype('float64')\n",
" weather1 = weather1.set_index('Time', drop=True)\n",
" weather1 = weather1.resample('H').mean()\n",
" weather1 = weather1.reset_index()\n",
"\n",
" n = soup.find_all('div', attrs={'class':'next-link'})\n",
" n=n[0]\n",
" nxt_date = 'https://www.wunderground.com'+n.find('a').get('href')\n",
" return weather, weather1, nxt_date\n",
" \n",
" except:\n",
" n = soup.find_all('div', attrs={'class':'next-link'})\n",
" n=n[0]\n",
" nxt_date = 'https://www.wunderground.com'+n.find('a').get('href')\n",
" return None, None, nxt_date"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The following code are a series of wrapper functions and helper functions which iteratively collect data from individual webpages for the entire span from 2002-2017, process this data into the a nice format, and save all data to a single CSV file for later use. Some notes on data processing:\n",
"\n",
"- Most wind speed data is numeric, but some is missing or simply \"calm\". These are converted to the mean and lowest observed wind speed, respectively.\n",
"- Weather condition is a categorical feature. The string representation from the API is converted to an integer.\n",
"- Humidity values are converted to percentages on the range [0, 1].\n",
"- Hourly frequency of the data is enformced (i.e. duplicate entries are removed)."
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def all_days(url, no_of_days):\n",
" \"\"\"crawls through a given number of days to collect weather data\"\"\"\n",
" list1 = []\n",
" list2 = []\n",
" result = one_day(url)\n",
" list1.append(result[0])\n",
" list2.append(result[1])\n",
" \n",
" for i in range(no_of_days -1):\n",
" if result != None:\n",
" result = one_day(result[2])\n",
" list1.append(result[0])\n",
" list2.append(result[1])\n",
" \n",
" weather1 = pd.concat(list1).reset_index(drop=True)\n",
" weather2 = pd.concat(list2).reset_index(drop=True)\n",
" return weather1, weather2\n",
"\n",
"def t_or_e(x):\n",
" \"\"\"process irregular wind speed data\"\"\"\n",
" try:\n",
" return float(x)\n",
" except:\n",
" if x=='Calm':\n",
" return 3.0\n",
" else:\n",
" return 4.5\n",
" \n",
"def process(df):\n",
" \"\"\"general purpose weather data processing\"\"\"\n",
" y = df.Condition.unique().tolist()\n",
" y = sorted(y)\n",
" df['Condition'] = df['Condition'].apply(lambda x: y.index(x))\n",
" df['Wind Speed'] = df['Wind Speed'].apply(lambda x: t_or_e(x))\n",
" df['Time'] = df['Time'].apply(lambda x: pd.to_datetime(x))\n",
" df['Humidity'] = df['Humidity'].astype('float64')\n",
" df['Humidity'] = df['Humidity'].apply(lambda x: x/100)\n",
" df = df.set_index('Time', drop=True).resample('H').mean().reset_index()\n",
" return df\n",
"\n",
"def one_year(year):\n",
" \"\"\"processes an entire year of weather data\"\"\"\n",
" all_months = list(range(1,13))\n",
" days_in_month = [31,28,31,30,31,30,31,31,30,31,30,31]\n",
" if year%4 == 0:\n",
" days_in_month[1] = 29\n",
" Month = list(zip(all_months,days_in_month))\n",
" \n",
" all_months_1 = []\n",
" all_months_2 = []\n",
" for i in Month:\n",
" url_initial = ('https://www.wunderground.com/history/airport/KATT/' + \n",
" str(year) + '/' + str(i[0]) + \n",
" '/1/DailyHistory.html?req_city=&req_state=&req_statename=&reqdb' + \n",
" '.zip=&reqdb.magic=&reqdb.wmo=')\n",
" res = all_days(url_initial,i[1])\n",
" all_months_1.append(res[0])\n",
" all_months_2.append(res[1])\n",
"\n",
" all_Months_1 = pd.concat(all_months_1).reset_index(drop=True)\n",
" all_Months_2 = pd.concat(all_months_1).reset_index(drop=True)\n",
" all_Months_1 = process(all_Months_1)\n",
" return all_Months_1, all_Months_2\n",
"\n",
"def all_years(list_of_years):\n",
" \"\"\"for a given set of years, collect all weather data\"\"\"\n",
" Weather_data = []\n",
" for k in list_of_years:\n",
" Weather_data.append(one_year(k)[0])\n",
" Weather_data_all = pd.concat(Weather_data).reset_index(drop=True)\n",
" Weather_data_all.to_csv('Weather_data_all.csv')\n",
" \n",
"all_years(list(range(2002,2018)))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"To illustrate the final result of weather data scraping, and as set up for the next section, the weather CSV is loaded into a dataframe and a sample of 5 rows is shown."
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" time | \n",
" temp | \n",
" humd | \n",
" wnsp | \n",
" cond | \n",
"
\n",
" \n",
" \n",
" \n",
" 0 | \n",
" 2002-01-01 01:00:00 | \n",
" 36.0 | \n",
" 0.64 | \n",
" 6.9 | \n",
" 0.0 | \n",
"
\n",
" \n",
" 1 | \n",
" 2002-01-01 02:00:00 | \n",
" 36.0 | \n",
" 0.57 | \n",
" 8.1 | \n",
" 0.0 | \n",
"
\n",
" \n",
" 2 | \n",
" 2002-01-01 03:00:00 | \n",
" 36.0 | \n",
" 0.57 | \n",
" 8.1 | \n",
" 0.0 | \n",
"
\n",
" \n",
" 3 | \n",
" 2002-01-01 04:00:00 | \n",
" 36.0 | \n",
" 0.57 | \n",
" 5.8 | \n",
" 0.0 | \n",
"
\n",
" \n",
" 4 | \n",
" 2002-01-01 05:00:00 | \n",
" 35.1 | \n",
" 0.61 | \n",
" 8.1 | \n",
" 8.0 | \n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" time temp humd wnsp cond\n",
"0 2002-01-01 01:00:00 36.0 0.64 6.9 0.0\n",
"1 2002-01-01 02:00:00 36.0 0.57 8.1 0.0\n",
"2 2002-01-01 03:00:00 36.0 0.57 8.1 0.0\n",
"3 2002-01-01 04:00:00 36.0 0.57 5.8 0.0\n",
"4 2002-01-01 05:00:00 35.1 0.61 8.1 8.0"
]
},
"execution_count": 15,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"filename = 'Weather_data_all.csv'\n",
"weather_df = pd.read_csv(filename).drop('Unnamed: 0', axis=1)\n",
"weather_df.columns = ['time', 'temp', 'humd', 'wnsp', 'cond']\n",
"weather_df['time'] = weather_df['time'].apply(lambda x: pd.to_datetime(x))\n",
"weather_df.head()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\n",
"## 3. Feature Engineering"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"First, the categorical feature \"condtion\" is converted into a one-hot encoding. The original dataset from Weather Underground uses a convention of 17 different weather condtions, many of which are quite similar. The 17 original categories are grouped into 6 broad categories, as described below:\n",
"\n",
"|Weather Group|Original Conditions|\n",
"|-|-|\n",
"|clear|clear|\n",
"|cloud|scattered clouds, partly cloudy, mostly cloudy, overcast|\n",
"|rain|rain, light rain, heavy rain|\n",
"|tstorm|thunderstorm, thunderstorms and rain, light thunderstorm and rain, heavy thunderstorm and rain|\n",
"|fog|fog, haze, mist|\n",
"|snow|light snow|"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"# helper functions for defining one hot encoding\n",
"def tstorm(x):\n",
" if x==14 or x==15 or x==7 or x==4:\n",
" return 1\n",
" return 0\n",
"\n",
"def clear(x):\n",
" if x==0:\n",
" return 1\n",
" return 0\n",
"\n",
"def fog(x):\n",
" if x==1 or x==2 or x==8:\n",
" return 1\n",
" return 0\n",
"\n",
"def rain(x):\n",
" if x==3 or x==5 or x==12:\n",
" return 1\n",
" return 0\n",
"\n",
"def cloud(x):\n",
" if x==9 or x==10 or x==11 or x==13:\n",
" return 1\n",
" return 0\n",
"\n",
"def snow(x):\n",
" if x==6:\n",
" return 1\n",
" return 0\n",
"\n",
"# create one hot encoding\n",
"weather_df['tstorm'] = weather_df['cond'].apply(tstorm)\n",
"weather_df['clear'] = weather_df['cond'].apply(clear)\n",
"weather_df['fog'] = weather_df['cond'].apply(fog)\n",
"weather_df['rain'] = weather_df['cond'].apply(rain)\n",
"weather_df['cloud'] = weather_df['cond'].apply(cloud)\n",
"weather_df['snow'] = weather_df['cond'].apply(snow)\n",
"\n",
"# drop original column\n",
"weather_df.drop('cond', axis=1, inplace=True)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Next, the electricity demand and weather data are merged into a single dataframe. Missing values created by the merge need to be filled in: for the one-hot encoding features back-filling is used, for the continuous features interpolation is used."
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"# merge and set index\n",
"df = ercot_df.merge(weather_df, how='left', left_index=True, right_on='time')\n",
"df.set_index('time', inplace=True)\n",
"\n",
"# fix missing values\n",
"df['tstorm'] = df['tstorm'].bfill()\n",
"df['clear'] = df['clear'].bfill()\n",
"df['fog'] = df['fog'].bfill()\n",
"df['rain'] = df['rain'].bfill()\n",
"df['cloud'] = df['cloud'].bfill()\n",
"df['snow'] = df['snow'].bfill()\n",
"df.interpolate(inplace=True)\n",
"df.bfill(inplace=True)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Next, temporal features are created. For instance, whether it is a weekday or not likely has an impact on electricity consumption, so a boolean feature \"weekday\" is created. Similarly, the time of day certainly has a large impact on electricity consumption. Even though this is a time series problem, in the next section the model in this project is decomposed into two parts. To capture time of day effects in the second part an explicit feature must be created. Since time is a cyclic variable, a sine/cosine transformation is used on the hour the day. "
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"df['weekday'] = (df.index.weekday < 5).astype(int)\n",
"df['sin_hour'] = np.sin(2*np.pi*df.index.hour.values/24)\n",
"df['cos_hour'] = np.cos(2*np.pi*df.index.hour.values/24)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Finally, continuous features must be normalized, as models are generally easier to train if all features are on roughly the same scale. The simplest method for normalizing is to simply transform each continous feature to be on the range [0, 1]. Note that the minimum and maximum values for each feature are saved in order to transform them back to their original scale later."
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" load | \n",
" temp | \n",
" humd | \n",
" wnsp | \n",
" tstorm | \n",
" clear | \n",
" fog | \n",
" rain | \n",
" cloud | \n",
" snow | \n",
" weekday | \n",
" sin_hour | \n",
" cos_hour | \n",
"
\n",
" \n",
" time | \n",
" | \n",
" | \n",
" | \n",
" | \n",
" | \n",
" | \n",
" | \n",
" | \n",
" | \n",
" | \n",
" | \n",
" | \n",
" | \n",
"
\n",
" \n",
" \n",
" \n",
" 2002-01-01 00:00:00 | \n",
" 0.203966 | \n",
" 0.318182 | \n",
" 0.64 | \n",
" 0.165957 | \n",
" 0.0 | \n",
" 1.0 | \n",
" 0.0 | \n",
" 0.0 | \n",
" 0.0 | \n",
" 0.0 | \n",
" 1 | \n",
" 0.000000 | \n",
" 1.000000 | \n",
"
\n",
" \n",
" 2002-01-01 01:00:00 | \n",
" 0.201196 | \n",
" 0.318182 | \n",
" 0.64 | \n",
" 0.165957 | \n",
" 0.0 | \n",
" 1.0 | \n",
" 0.0 | \n",
" 0.0 | \n",
" 0.0 | \n",
" 0.0 | \n",
" 1 | \n",
" 0.258819 | \n",
" 0.965926 | \n",
"
\n",
" \n",
" 2002-01-01 02:00:00 | \n",
" 0.194450 | \n",
" 0.318182 | \n",
" 0.57 | \n",
" 0.217021 | \n",
" 0.0 | \n",
" 1.0 | \n",
" 0.0 | \n",
" 0.0 | \n",
" 0.0 | \n",
" 0.0 | \n",
" 1 | \n",
" 0.500000 | \n",
" 0.866025 | \n",
"
\n",
" \n",
" 2002-01-01 03:00:00 | \n",
" 0.190881 | \n",
" 0.318182 | \n",
" 0.57 | \n",
" 0.217021 | \n",
" 0.0 | \n",
" 1.0 | \n",
" 0.0 | \n",
" 0.0 | \n",
" 0.0 | \n",
" 0.0 | \n",
" 1 | \n",
" 0.707107 | \n",
" 0.707107 | \n",
"
\n",
" \n",
" 2002-01-01 04:00:00 | \n",
" 0.193616 | \n",
" 0.318182 | \n",
" 0.57 | \n",
" 0.119149 | \n",
" 0.0 | \n",
" 1.0 | \n",
" 0.0 | \n",
" 0.0 | \n",
" 0.0 | \n",
" 0.0 | \n",
" 1 | \n",
" 0.866025 | \n",
" 0.500000 | \n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" load temp humd wnsp tstorm clear fog \\\n",
"time \n",
"2002-01-01 00:00:00 0.203966 0.318182 0.64 0.165957 0.0 1.0 0.0 \n",
"2002-01-01 01:00:00 0.201196 0.318182 0.64 0.165957 0.0 1.0 0.0 \n",
"2002-01-01 02:00:00 0.194450 0.318182 0.57 0.217021 0.0 1.0 0.0 \n",
"2002-01-01 03:00:00 0.190881 0.318182 0.57 0.217021 0.0 1.0 0.0 \n",
"2002-01-01 04:00:00 0.193616 0.318182 0.57 0.119149 0.0 1.0 0.0 \n",
"\n",
" rain cloud snow weekday sin_hour cos_hour \n",
"time \n",
"2002-01-01 00:00:00 0.0 0.0 0.0 1 0.000000 1.000000 \n",
"2002-01-01 01:00:00 0.0 0.0 0.0 1 0.258819 0.965926 \n",
"2002-01-01 02:00:00 0.0 0.0 0.0 1 0.500000 0.866025 \n",
"2002-01-01 03:00:00 0.0 0.0 0.0 1 0.707107 0.707107 \n",
"2002-01-01 04:00:00 0.0 0.0 0.0 1 0.866025 0.500000 "
]
},
"execution_count": 20,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df_norm = df.copy()\n",
"\n",
"load_min, load_max = df['load'].min(), df['load'].max()\n",
"temp_min, temp_max = df['temp'].min(), df['temp'].max()\n",
"wnsp_min, wnsp_max = df['wnsp'].min(), df['wnsp'].max()\n",
"\n",
"df_norm['load'] = (df['load'] - load_min) / (load_max - load_min)\n",
"df_norm['temp'] = (df['temp'] - temp_min) / (temp_max - temp_min)\n",
"df_norm['wnsp'] = (df['wnsp'] - wnsp_min) / (wnsp_max - wnsp_min)\n",
"\n",
"df_norm.head()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\n",
"## 4. Designing Models"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"In general, time series forecasting becomes quite difficult as the period of forecasting decreases. Therefore, this project decomposes the original electricity demand timeseries into two components. The first component is the monthly average electricity demand, which is modeled using traditional timeseries methods. The second component is what this project will refer to as the \"hourly residuals\". In other words, after removing the monthly averages from the orignal timeseries, what is left over is the amount above or below the monthly average at each hour (hence, hourly residual). The hourly residuals are modeled using various regression models, and are what the engineered features are used to help predict. After building two models (monthly and hourly), the predictions from each can be added together to get a full prediction for the electrcity demand at hourly frequency."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\n",
"### Monthly Averages Model: SARIMA"
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": true
},
"source": [
"Traditional timeseries methods are used to model the monthly average electricity demand. Since there is strong yearly seasonality in the data, a seasonal ARIMA (SARIMA) model is trained. Below, the monthly averages are extracted from the hourly data using resampling."
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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IB0+VaHp+IqJA030yIISIFEKMF0KkCSGqbN/HCyEiPdz/MSHEFiFEoRCiSAix\nUwjxdyGE7n93Iq3Umi2Yt/1EUEslyL2Fu7JUh+Ah42QDyScKNTtW0vECfLn2KBL2ncLE31Pcbn+8\noFyzc5M+GSkxJvKUES6IpwH4EMB6AC8C2GD7eaq7HYUQ4wHMA1AM4A3bVwmA6QAmBSheIt2Zt/0E\nJizch+EzduBEvj6nfCPSm5MF9XOSbztWEPDzcUys56pq1QzS5v+IQpHXU4sKIVb7cB4ppbzNh3Nd\nCeB5AFOllKNsd38rhCgB8LIQ4isp5T4XhxgDYCeAu6S0voSFEF8CSAbwDIBXvY2JyIhmbMqw396W\nno8LO56lLhgiIj8dzWUvDAWPMFDvqC986RmIgLXP2PHrAgADAPQD0M721c923/nwvY/5Mdu+nza6\n/1Pb/Y+62b8tgDN1iQAASCktAM4AYPMohY1jefUfnPFbMoJ6botF4v2Eg/j3bwdRWFEd1HMT1ckr\nq1IdApEumGrMkAbt4liXmou7/7sBC5MzVYcSUrzuGZBSDnD8WQjRH8AKAC8D+FpKWWO7PwrWVv23\nAQzxMb7+sF7MpzeKIV0IkWN73JU1AO4SQowBsBjWBOJhAAMBvORjTESGtj8r8AMc5247geUHTuOf\ng/pgXWoevtmQ7n4nxT5NTMXGI3mY/PDViOvUWnU4hqSH64tSU63T+/0tKzlVbPJrfwoNqsqTtLI/\nqxiPfb0VvbvG4qfnb4Aw2CCIJ7/fDgAYu2APHux3vuJoQocWKxD/B8B8KeXnjnfakoJpQojLbNvc\n4sOxuwFoboRdFoDz3Oz/DIDZAD6xfQGACcCTUsrZ7k4uhDgXwLmN7u7tbj+icPf6r9bqvce/KUFO\nqf5bZAvKq/Fp4hEAwLM/7ETi2JsVR6QvW47mqQ5BicNnSu23K2u40JsRSSmRsO8UWse0wC2Xdvbr\nWAXlxu/Z/PsPO1FWVYudxwuxN7MYV1/QTnVIhiChg5aOANIiGbgWwHwXj+8B8P98PPZZAEqbecwE\naxmQK+UADgE4AWAZgCgATwCYIYQwSSl/drP/cwD+5Xm4ROTICIkAAFRU17cm+7oqcCgr93CO/rSc\nMlzTvX2AowmegjLjX/wZSanJ/fSt3lp58AxemrsLAJAw8n9webezfT7WsVzjvzc4vieH40rZtebQ\nvqj3lRazCZUCuNHF4zcD8PUVVAEgppnHWgKobOYx2KYOTQTQSUo5XEq5QEo5B8CdALYD+EoI0crN\n+acDuKZNcM1HAAAgAElEQVTR11DvfgUiIo3p9PPsNEtpyA9Px+/0eNtcDxsa5mw7Yb+98uAZr2Oi\n0PJTkm+rg09YuA+bQ7iHVItkYB6Ax4QQH9vKagBYS2yEEJ8AeMS2jS+y0Xwp0HlovoQIsCYo/QE0\naP23DSZeCKAjgMtdnVxKeUpKmez4BWtPAxGRMtPXHwtIKyqRStvTPZ++NTEl+Bf2RRXGf82F+6rn\neT729i1MzsLj32zTOBr90CIZeB3WEpwxADJtC3sVAcgEMBrAcgATfDx2EoAuQog4xzttP3e2Pd6c\nbrbvzhYna9HoOxGRoXy2Ok11CERh5fnZri45yAiqDT4APFD8TgaklJVSynsB3A3gawBbbF/TAdwt\npbxHSulr3/GPsHaIj250/2jb/T8C1pmLhBC9HXsmUN+C/4TjjkKIFrDObmQCsN/HuIiIlDLKeAwj\ns+hheiTSjXBvVQ8FRp8NKlA0axmXUi6HtRdAM1LKPUKIrwGMFELEAtgE4K8AngIwXUq517bpeQBS\nAMQDGG7bd5cQIgHAPUKItbCWBrUAMAzA1QDekVIafzQQERG55ct1/cnC4C5Hs3hPNiY/fHVQz0lE\nZIQymZdgnQ3oGVgH72YBeAPAJA/2fQjAC7D2DrwHIBrAQQDPSim/DUi0RDry7YZjDRYcIwpF+WVV\nkAA6tWluvgljzJzCEgYi5/ZnFePLdUdVhxGyNEkGhBAXw3qx3hNABzRdcVhKKW/z5dhSyloAH9i+\nmtsmw8k5IaWsAjDF9kUUVg5ml+DfCSmqw6AwomL9opxSE278aA0kgPX/aH45m9lbj2PkbZd4dWxW\nCZERnC42YeyC3arDCKhB0zZqcpzCEFgrIhD8HjMghHgY1hKd0QAusR1TNPrSYqAyEXkhnT0CFAY+\nW52GqloLqmstmLIytdnttBhjcTA78Kt3E3lr5PxdQVlZPhScLuH0x85o0TPwb1gH4v5NSpmjwfGI\nyEv5ZVVIOl6IW3p3RlQkc28KH2aHQZ3mADflbz2Wj8u6Nb/WpWjaQa0rns7NT8bizZSsRM5okQxc\nCOBVJgJE6lzz70QAwPUXdcD8v9+gOBoKV6FWVuNt2ZPU62pwNhMW7nW/ETVxNLcMv+87pToMpxxX\nTyfylRbJQBqAdhoch4h8cLKgfsaTrcfqW4hWHeJqm0RULzGFbXa+GPjJOl0muot3Z+GVBXtUh0Eh\nQIt6gncB/J8QormVgokogKqdzJJisUgsTHa1QDeRZ9jy6LlTxaxHDkV6TAQAYNT83X6tfaDTX4sU\n0KJn4EoApwEcEkIsBnAcgLnRNlJK+S8NzkVEHgh07XSoESqmwTGIDUfyVIfgsZ+TMjU9nrcvo+P5\nwV2XwBsWHy8aj+aWoec5bTSOhij4lum01EsPtEgG3nS4/Xgz20gATAaIiGz2ZRb7tb8MUsIXvzkj\nKOfRo1DKEX9J9i1RGrtgDxa/+FeNoyEKvhfmJKsOQbe0SAbiNDgGkVNSSmTkV+DCDmchMiKEPpkp\n7A35Zqtf++8P0jSXm4/mB+U8eqT32YG8sfKgb2OI8jgDEVHI8zsZkFIe1yIQIme+WncMHy0/hPuu\n7oapQ/qqDscwVJYr5JXx4sETZVX+1eKn5ZRpFAmRepz2lEgdTkhOuvbR8kMAgCV7shVHYiz5Ci/I\nR87bpezcpJbep9b0VuMyoVAqG9KbUF9BlzxTWd14yCkFgxZlQhBCRAN4AMC1sE4z2jjJkFLKp7U4\nFxHpmxHLSio5Yw45wXH4wROoger8FxrLkG+2YhHHqASd38mAEOJcAKsBXAqgCMDZAAoAtIc1KcgD\nwP5sInKquKIGZ58VpTSGgZ+sV3r+UBFKNfYUevj81L/dJ4tUhxCWtCgTmgigG4CbAfQCIAA8CqAN\ngH8CKAdwiwbnIaIQ5GydBCKiQMguqkTS8cKgzcZFZARaJAN3AJgupdyA+h45IaU0SSn/DWArgP9o\ncB4icqJxW5eUEokpXH3YU7VMRgxtU5px1kEgbRWUV3u1fUVNLf4ycTUe+nIz/jhwOkBRGQf7SaiO\nFslAewCHbbfrXpmOK5SsBXCrBuchIg9sOZqPbzakqw5Dt3afLMKbi/YhLacUADBrKydE04qKAcQZ\nAZw5K9QGRPtCzy3o3ibyOzMK7bfHL9yndThEhqVFMnAGwDkAIKUshXV8QB+Hx7sAiNTgPETkRI25\n4Yd1YUWNokiM4f7PN2H21hMYNG0jACD5BGtUtVJRFVozgZh9XLWX6JekTJhqXL8eLBaJfZnFqGHv\nJCmmRTKwA8BfHH5OBPCKEGKYEOJJACMB7NTgPETkxKeJqapDMCRTDT+AtTbul71BPZ/Fy4v17ekF\nXm2/w6ElGWBZBXnulZ/24NPEIy63+eiPQ7j3s4149ac9QYrKGP61eL+ue6RCkRbJwNcASoQQLW0/\nvwbADCAewAzb7Vc1OA8ROfH7fta+am0PZ7QwhDIvp4R9ZPqWAEVCRlMUhB7Ur9Yddfn49HXHAACL\nd9evo7MwORN3TFnn84rRoSB+y3Ek7DulOoyw4ncyIKVcIaUcJqU02X4+AuASWNcduBfApVJKriZC\nIaW4ogbDZ2zH67/u010LRk6pSXUIhjf4802qQyCiAEvYewrpeeWqw2hg7II9SD1Thmd/CHxBRaA+\nubT4TEw9wxnpg0mTRccas40dWBKIYxPpwYe/p2Dt4VwAwF1XdMWNl5yjOKJ6rHMmf+WVVaGoohoX\nd45VHQpRwLw4NxkAcOT9uxAVqUWhBAHGXHgy3GmaDAghYgB0gJPSSilldtM9iIzJcWGU7KJKhZE0\npbOOCjKYiupaDJi8FmVVtVjw3A2qwyEKuMLyanRu29L9huQRb6d8JfW0WIE4CsAEAH8HcK6LTTmj\nEFEQ/L6ftZZaqDFbUFheDQigc2z4XCisPHgGZVXWWnwObAwdIkxHP6su46wxW9jrQLqnRc/A5wCe\nAXAAwO8AOPKOSKG9mcWqQ9CtRC8G5Z0oqMCdn66HEAIbx93ClkMyNF+viYNxKe3trFDe2HCkflG6\npOOFLrYMjPS8cvTqEvrldlJKTFmZivzyavS9sL3qcMhLWiQDjwL4WUr5iAbHIqIwE8yFnZ6fndTg\n509WHMbSPc4rGKesTLWt4SDx2Zo0vDv4iiBESBR+Dp4qUR0C+Wn9kTxMXZ0GwPspfEk9LfquagGs\n0uA4RERBVffh5YxjSyrHYRAAiDCstQnGb8zXl/EdckjojuRwJiCj0SIZWI6Gi44RkUL8XKVwceRM\naVDPp7r+PFTVWHxbADBLZ5M3EBmVFsnASABXCiE+EEJ0F+HYdEJh59Dp+osQvV0fGG1q0S/XHsXM\nTemqw2iCi97o277MYjz0JRcR85ReS3FmbkrHg19s9mnfA9n6/J1IP6auOoKBn6zDrhPBHy9iJH6P\nGZBS5gsh5gCYBOvqw866UqWUMiBrGhCpdkxni9YYzYxNGQCAi85pg5t66We9BtK3EfE7VIdgKJmF\n+mxFf3vpQZ/3rZv1iqg5n6xMBQA89KVvCaenVhw4jUW7szB6YC9DDhjXYmrRdwC8CSAXwA5wNiEK\nM0Zriderben5AU8Gavm/CrjUM6W4pHMbj+rrk08Uok1MC58+PHNLq3wJj3TE3zKfib8fwoP9zgur\nqX/JN4F+6//7LOvkFBtS87Dvnb8F9mQBoEVr/XMAEgEMklLWaHA8IiLNVdWaVYcQFu6Ysh7P3XQR\nJtzdx+V229ML8Mh0a5nP5vG3olu7VsEIj3QkT4OEbsrKI/jwwSs1iIb8ofW19iGdlrW5U2rQ3iot\nxgycBWAhEwEi0jP24ATP9PXH3G7zycrD9tuLdxtjgfpwfAbp/Xdmkh+aVnixJgz5T4uegfUArtLg\nOKSYxSLx8crDEBAYe3svRERwLLgn9DaAmEgrheXVATu2Y25WY/ZtNhmiHRn6ntOenw9kBFr0DLwM\n4G9CiJeEENEaHI8U+XVXFj5fcxSfrUnD4j1ZqsMh0o1gLoymJ4Hs8nZcmGiGDmeTcobNI/pzskCf\nA6O1UBvgJFnLRIWvDWPTIhlYB+BsAP8FUC6EyBJCnGj0dVyD81CAbUvPt9/ens5puIjqzN56QnUI\nIa2wglWmgVJUUY3vNhoj2dKjOdvUXb6wVIaCRYsyoWPQf1khkWZ+Tsps8DNX1tCGYNsSecjC8R8e\nG/3jbqw9nKs6jIAy1ZjRMioyIMd+49f9ATmuJ37YkoG7rzw3YMfnZ5f39mcV44rzzlYdhua0WGdg\ngAZxEBnC/qxivPrTHtVhhKRwLcUh7xVX6q8n4dBpfc5+EuqJAGD9He+8oqvP+wfyncef97Wtx/Q9\nHsJRuLx7f7E2DV8MvUZ1GJrTokyIKGwk62gVQyklHv4qsAupUPjhqq7Na+6Cx1Rjxp2fbghqLGQM\naw6FfjJGxqdZMiCEuF0I8ZEQYoYQoo/tvlghxK1CiA5anYeIrH5JzsKODP0kJxQavvZgWlBqiAug\n6U9ZVS3KdTDn+0fLD6kOgcgtLVYgjgbwC4C7YR1QLgHMApACoArAAlgHF7/n77mI9EjV1HEsVyKi\nQDPi1Ji5pVW45T9rWRNPAVVQXo3XftmLS31YQV1vtOgZ+CeAO2GdYrQ3HGaYklJWw5ooDNLgPBTm\n/t932/DbXmMsTkTeC/QAYg5QJn/xGaRPppqGC4/9d1UqyqpqUWpS3zNAoetfSw5g5cEz+GxNmupQ\n/KZFMvA4gO+llF8AyHfy+CEAcRqch4JKf81BG47k4aW5u4J2PiklPk1MxYe/p7hcvXZvZhFXtyUK\nUzklJgz+fJPqMMJa4wHlc7dxKuBgC8dEecvRPNUhaEaLZOA8ADtcPF4OoK0G56EAyy4y2W//vv+0\nwkj04Y8Dp/Fp4hFMX3cMc7c3/+Gy83gh3l16IIiR6Y+UEntOFjVpodMTzlZE/nL2DHpz0X4UBHCl\nZtVMtfp9Tdc5WVDR4Ge2zQQf/+TGpkUykAegm4vHrwDA5WwNYGNafZZbxEWAkHyiyH7bXQtA/Jbw\nXlfv8zVpGPz5Jjz7w07VoRAF1aHTpapDCCgjfBbMc9FYQ0TuaZEMLAfwjBCiySoMQojeAEYA+E2D\n8xDpWmEItw66858VqQCspVxEROSdGrNFdQjkJSMOrm+OFsnA2wBiAOwGMB7W3qKHhBBfANgJoBjA\nBxqch0jX/vEzZ/chCobs4krVIVAIMWK9uwylK1FSzu9kQEp5EsD1AA4CGAPr6+r/ADwHYCOA/5FS\nnvH3PER6l5iSozoEorCQllOmOgRDaFxLH6rC8bLYsazXV8wnqI7f6wwAgJQyHcA9tlKhXrAmBEel\nlM5mFyLySJUBBq4REelVpY4H9JN/Thb43zu2bN8pXBfHNWG9EaoJlGYrEAOAlLJYSrlDSrmdiQD5\nK1RfdEREFN78mXmtqKIar/+6z+8YZm7O8PsYdfh5bWxarEB8E4C7AFwCIBZACYAjAH6XUm7w9/gU\nXmrMFkQIgcgIfVZx6jMq8gQXHQsdZVVcTIqMLbe0yud9n47nrG16EEr5j8/JgBCiE4AFAG6G82uk\n14QQqwE8KqUs8PU8FD7yyqpwz9QNaBUVid9H3dTsUvK1ZgtaRGraqUVEBvJ+QorqEMLK8v2ncecV\nXVWH0axwS/OTjheqDoGAkFpfxKcrKiFEBIAlAAYAiIc1IegAIMr2fQCAHwDcBmCREM1d1hHVm7T8\nEM6UVCEjvwLxWzKa3U7l02ldaq6yc4e6QP9bD54qDuwJKGgqqoNTC9+7a2xQzqN3z89OUh2CS6HU\nQkukgq/Nqw/AOoPQ81LKEVLKDVLKIiml2fZ9vZTyKVhnFforgPu1CphCV0F5/eI2paYaXdUg1sXC\nGYMCx9P/t5QSFh+WGF1xgJOakXcu69ZWdQjkAT19VlBoc9dodZeOe9Bc8TUZeATAbinl1642klJO\nB7AHwKM+nofC2KZmpk47XWIKyvnZneXe9HVH0WN8QtDOZ7ZIPPTlZtw4aQ1OeTnX/PT1xwIUFYWq\nxuNMeNGpreQT+ih3ae7fWl0buIXA+FwyplpzaP7jfE0G+gJY5uG2ywBc4+N5KEx9vuYonvnB+SCp\n7CIuOKQHUkp8+PuhoJ5z2b5TSD5RhKyiSrw8d1dQz03kjGSRis/2Z5WoDsGln5MyVYdgGOHyOlhx\n0HUPs1GL4n1NBroAOO7hthm27YkohPhQqeO3o7n1i03t5CA6IgqgUlON+42IQoCvyUAbAOUeblsJ\noLWP5yEylAU7TqKimtMe+sKTFpUcP6bjIwKA/Vm+DyQ3aqtfqPP3/8KSHf+YLRKHTpWqDoP84Gsy\nIMAB/KSx9SEwU8+4X/bi3aUHVYdBASB5xRASHvt6q+oQyEar5CoUXppGbuh4e8kBLNmTrToM8oM/\ni479Uwjxfx5sd44f56AgMFskJi0Pbu23M9XmwA3W8oWvny/zd5zExIeu0jQWsjIFaUpJZ3YeL8S1\nPTooOz9Z+TtmSOsFy7IK9TuGSe8XyXqPL5Aa19gXVVTjvHatFEXjn1lbPa0aJ73yNRk4AaAlgAu8\n2J506qedJw0100qwPkCO5dZXwpUrvAgNhOLKGpzdKkp1GF7bnVnU4OdaswVpuWW4tEtswNefMNXo\n7zkgpVS67kawfbziMKatTgva+aIiXc8mdLrYpGTsjF79nJSJ+dtPYMLdvXFN9+AlzoF6CQRzsopw\nToxIPZ/KhKSUPaSUcd58aR04aSMtpxTjF+5THYYuJabUzxoQCiVMjg5k628BLl8+DMcu2IM7P92A\nKYlHtA/IAJbtO606hKAKZiIAAH+5uJPLx7/dEPhGlIS9p3Dd+4mYsSnd632DnSe++tMe7DxeiIe+\n3BLcE/upuZlwTuq414dIS76OGaAQcfd/Nyo9/9HcMr8G9IWryhDrqfBYo8/sujrVqavCMxlwtVI3\n+S9SB70uL85NRk5pFd7hWKRmsVWd9ELv0+U2x58xAxQCVNbpZxdV4raP1wEAFr34V2VxGJE5BD/9\nPLnuCr3fmqghU40ZLaMiVYfRRLiVpAVbCL6lh6UTBRWqQ/AJewZImQU7T9pvT1mZ6vF+nNUlNJk9\nKL7m/55UCsa18Ffrjgb+JD6o1OGYGSNr/FYWLot2kT4xGSAymILyarz2y17VYWhu/o6T7jdSyJNk\nRS/Kq2rx/77bhhfnJBsqbr0LRi76/UbvxwYEQ35ZteoQAoZtDBTumAyQMnwD9s1bi/YjYe8p/w6i\nw799Qbn7iw2VZQoVOhynUdVMa+1/Vx3BhiN5SNh3Cr/uygpyVBSKnpq5Q3UIFKY2p+WpDiHkMRkg\nZebvqJ9xtqgidFudtJawz89EgHxSZtLfytJ7Mp0Pvj98un410MxCY9awqnYivwIvzk12uY0Oc+qA\nScspUx1C0FRU11rHSGh4zGX7TmHOtuOwNNNTx8ax5j3+7TbVIYQ8vwcQCyH6Sil3aREMhZczJfUr\nLjZ3UeMMB7Hpg4r/gsoxAxOXH8Ij13q6tIp+8CLDNy/P58eaUfhbb++496qUM/i/2cm4/fIuMNVq\n0xu4P6sYL8yxJpYtW0TioWvO1+S44Y6D2rWjRc9AkhBilxBilBDC9aTMREQuLN9/2mVLtso3fk/K\nmPRCD5+PJwsqcNKgM2sAwJ6TRe430rn52/U9DkcvHF8uT8fvRLXZgoS9pzRLpDccqS9z+SU50+k2\nzNlJJS2SgXEAIgFMAZAlhFgohLhPCKG/udHCnJQSby3aj6HfbsXsrceRW1rlfieiIHp+dhJumrSG\nswZ5Qa9/qxsnrcGNk9YYOiHQWm9xAleK4K32/r0PC5VRvWC+tLYdyw/eyYga8TsZkFL+R0p5FYBr\nAUwH8D8AfgWQLYT4WAhxlb/nIG2sSsnBrK3HsSktH28u2o9HphtrlUjSl0B9TlokUNtMXa0OGrx1\nZ6ObwXWqU4Uv1upzqsxgu1CcwdLoN7A05k30Emyx15KpRt16Od5qLsH48PdDwQ2EyIFmA4illElS\nypEAugH4XwBbALwEYJcQYqcQ4iUhRAetzkfey8gvb/Bzel55M1uSM0O/3ao6BM2ovkAMNr22nmvB\ncbBwHSZNweFNr8e14jCihLUG/TJxPFAhha1aPxbQbO7dQatyOz2U7RlRTYAXRb1QnMEF4kxAz2EU\nms8mJKWslVL+CuADAIth/VzqB2AqgEwhxGdCiDZan5fcs4TwBVEwbEpjN65qvj6DM/LDuFSFr/uA\n2ZPp+biCHhGn7bdbC1Mgwglr+7I8n4TCU0dzw2cGJT0a93Pg1tO5UJzBmuixWBX9KhMCaJwMCCHO\nFUKME0IcgLVn4A4AXwO4HtaE4AcAzwGY4cUxI4UQ44UQaUKIKtv38d6MSRBCPCKE2CCEKBFClAkh\n9gohRnn32xnfrhPGHxAHhHYrLwVGKCfCztYR4Awb+hMnHJIBVCqMRD/0vuqu44x3Wqn7nfX9m+uD\nuzVS/Hlb7yeOIFJIRAszbog46PuBQoQWU4vGAHgAwHAAt8GaYKwHMBHAz1JKx3e954UQJwGM9+IU\n0wD8H6wJxGYAfwXwIYALALzoQXwfAxgN4GcAc2F9DfYE0N2LGEJCKF8QEQVDXlkVOrWJUR1GAwey\nS1w+zle9PvQQnvUM8P8VfGxgCk2LdzefTHQQ9eWVPUV2MMLRNb+TAQBnAMQCyAbwEYDvpZSupktI\nA9DakwMLIa4E8DyAqVLKupb8b4UQJQBeFkJ8JaXc52L/QQDGAnhCSjnLk3NSvb2ZRbjq/Haqw2ji\nREEF/nxRR9VhUBga8+NuzHr6z6rDcIv9AoHh+yWjRJyoXyywNVgmROHhxoi9eDYyAV+a78MWy+VB\nPfeo+bubfayDqG9EYTKgTZnQCgD3ALhQSvmmm0QAUsofpZSenvcxWD/XPm10/6e2+x91s/84AMl1\niYAQItbD8xKA4soa1SE4tSolR3UIhseLRd84zhdO5KlzUITWor7kxFUywNdm8IVaWd1zkUvxn6iv\n0Bbqxzy80mIBborch9dazFcdSgMdwGTAkRbJwGcAkmQz/WxCiE5CiJt8PHZ/AGeklA0mS7b9nGN7\n3CnbIOW/AtgihHhTCJEPoEQIUSCEmCyEiPIxJsOqMbMrlKyM+kyIjtR8zoOQxwoI9RzHCwAcQBxu\ngplqXCIyMSFqHv43cj3ui1Q/ffi5ogAAGvSM6UEHUZ8oXSByEQ19Nn4GixafrGsA3O7i8dts2/ii\nG4Dmir6yAJznYt+LYf39HgHwCqyzG/0vgKUAXoUHg5htA6L7OX4B6O1F/LribV1kKKzASaHl8m5t\nVYdgCCHW0Gl4jjMJASwT0ptgjhmoO1Wgztk/4rD9dlfbhbg6Eu1svRNniwq0hX6mM3csE2ohLLgw\nzGcU0iIZcPexEw3A18lizwLQ3HB+E4BWLvatm770HAAPSik/llL+IqV8EsAcAEOFEJe5Of9zAJIa\nfc3xNHijW3s4V3UITi0/cBpVtWbVYZAKvMglhXx9+jXuGWgjOJsQBUY/ccR+u53iMqHWMCFG1Np/\nvkBoe03hTzrVEQ0nXvCmVGjmpvSQW1ndp2RACNFWCHGhEOJC210d635u9HU1gMcB+No/VAGguak7\nWgIu52ereyxTStm4ZyLe9v1mN+efDuCaRl9D3eyjW6FUF/nZ6jTVIZACIkSygcLyatUhUBD1aJQM\nnMWegbASzI/evhH1n43thNqW+Pai4YKIFwj9jPdrHJs3ycDbSw/inqkbtA5JKV9nExoD4J+22xLW\nAb2NB/nWEQDe8/E82QCubuax8wDscrFvXXmRs76fuuSkvauTSylPoVEiY+QLauNG3tS01Wl45Y5L\nVYdBBqGn5/6J/ArcPmVd0M6n97ncjcTXv2TjZIBlQuErkK/GtijDxRH1F7VnK+4Z6AB9JgMRsKBd\no5KlnhHZgBcFByWmWvcbGYivycB6WGvwBYDXYV1peH+jbSSAcgA7pZSrfDxPEoA7hBBxjoOIhRBx\nADrbHndKSnlaCJEJ5+MKLrB918czU6d4CRG69L7mhJ4u3rX2ztIDqKr1tXLSU8b8C9aaLVi6Nxvd\nO7ZGvwtdttUYhoAFPRrVI7saQKzni4y/TlyNSf97Ff56cSfVoTThzzuazt8OPdY34miDn9sJ35OB\nnBITtmcU4LbeXdAq2uM1Xhto3+j8WpcJ+ao9ShEhGv7Tw31GIZ+SAVvZzRoAEEKcB+ArKeU2LQOz\n+RHWBcpGA3BcMXg0rK/9H20xRMG6kFixrTW/zlwA44QQ90spF9m2FbAuYmYGkBiAmHVr1SHmPmRV\nWd2wCWR/VjHm7ziBoX/ujj7ncpBuIAU+EdAbz6+04rccx3u/WVcDTXpzIDoqWuBNyzFJXVCIVqJh\nWZhRewayiiox9NttyJh4j+pQDC8Q+UffiCMNfj7bjwG790zbiNzSKjx8zfmY/HBzBRqutddpz0CH\nRiVCANBTnIL1v2LMhhR/+T2AWEr5VIASAUgp9wD4GsBIIcT3QoinhRDfAxgJ4Gsp5V7bpucBSIF1\nZWJHEwEcAzBPCDFJCPECgGUA7gUwWUqZEYi4iYxm0LSNmL31BO76b2jVQQLAz0mZuPXj4JXl6I3q\nVs/GiacrdYkAACSmqJvd461FjTu6ncsvcz/2I85hJqEqaW1/ayNMED7PqxE69DIGyMDVvw04Dh4G\n/BszkFtqnbvlp6RMn4/R+KJb8wHEPr65OZYv5UjrwqqxohLnIHxnUPQ6GRBC3OS4bkDdz+6+/Ijx\nJQBvABgA4Avb9zds97skpSwE8D+w9iAMBzAFwIUAXpBSTvAjJqKwF8zp+Pzx6k97VIcQdHq6uFmy\nx7fu901p+RpH4rkFO91fAGUWVqDW4v414Dhe4LC8wH67FTiIXEv+POUD/VYWjKRHwII/NSoTaisq\nEOlNIbzGGg/SPV/k6iIJdpxWdIell/2243iLcONLmdBaAFII0UpKWV33s4vthe1xn4rOpJS1sI5P\n+HBxjTIAACAASURBVMDFNhlo5r3AVjY03JdzExEZneqUzYPrZUOa/Mdh9xuhYTKw39IDV0VYh7+1\nRiUq0DIgsZG+ZBY6TEPp4vVQXOH7wlc9RTbaCut5amUEWgjrRXdblKMQako/G5cJtRQ1OAfFyHE9\nd0vAdWyQDPTGPZHbAVj/hltwuaqwlPIlGRgB69O57ln7lHbhEFEw6P36TO/x6Z1jy8gvSZl47U51\nayXqqZdCS570CgD1awyUyZY4IbvY728tTMht5hBpOWW4uHMb5w+GEC1nutLzpAjxW47bb9f9zmVO\nBop/sCzF53M4Tim6U16K64X1WGeLchRKRcmAk9r8C0QOcqTaZMAxSdnp0DMQzoOIvU4GpJQzG/0c\n38ymZHAh+hlOBqbnaTItFom/z0pCbqkJM5+6Du1bR6sOCQCQU9rcuo0UDHU9AxmyK8oc1sl0NYj4\nuVk7seqVAYEOTT39vpwDZkdGIYCG42PqH/N9xWDH8QJrzVfj+ghrMtB4Cs1g6uBkatMLRC6SpNpp\nwR3HMhyT3ZAn26KTKAnrZECLFYgpRIVqix6pH1QaipbtP4XElDPYk1mMfyf43sKnhVB47YbE7wAL\nuttmUMmQXVEu68uCXCUDR3PVLhZFgbfzeKGmx6vrGThqORfHHXqg/JletM63G45h+rqjXo8Tq+sZ\nKJT1vVx6mFGorkzIJKNQgRgcld0AABdF+Lo+rvH5nQwIIV4TQmx28fgmIcQr/p6HvJdbWoVFu7JQ\nYvKtDjE9jx9Iviqu9L32k5qnl9lHnJm3/YT99trD6j/wSL1uyEeMsL4XpMuuDcYIuFprgPSvA0rw\nYuQiXC7S3W/soWM+fua2QQV6Ceug913yEhSh/uJbi4XH/p2Qgg9/P+T1ZAB1LfAHLN1hkdb3bi1n\nFPK1TauuTCgfbQEIHLWcCwA4X+ShlUGn/fWXFj0DQwG4mlp0K4BhGpyHvPTo9C0Y/eNuvDzX1ULN\nzcvzYNo8cq7WrH7GBFdCodVVbxxnv8kvV/vaMdXo+/nnjD+DJ/Wqh8O0ohmWrihzSAbaoFJFSKSR\n0S1+wT+iFuCzqKmqQ8HVEUfti2glWy5BsWxtf8yf6UUbW5fqzYW8RDvbRfcZtMcpdACgj4XHOtp7\nLGIBwN4zANSP8Qk3WiQDF8E6x39zDsG6IBgFWV0rg3cv4OBgrwNR4OjxNe/O95u0a2ENFG/LJBwv\nLNJlV1Q4lAmdJTiWw8iutk3j2V3kKJ8u81JRPxXuXksciqRjz4Caz9o2qES0sE5rWiRjkSnPAQBc\nEKG+17RuatECWzJwzCEZCNdxA1okA2YA57h4vDM4FpUaee2Xve43MjCW5PunuTeMUOjRCIXfIRBq\nLcbrzXDH8cKi8QBi9gxoqy5P83VdCy/PhouEtb48QkjEKv5fOs7akyPbNygT0mLMgC8cYyqQsThh\n6QwAOBf5aIGmMykFj2xUJtSwZyBc1xrQIhlIBvCYEKLJ1BlCiBgAjwHYrcF5KISEYkmAoz8OhGdX\nI7kXboO3Q+n3FV5mcnWLQGXLDihA2wYDiM8K09rkQBs5z7eyWG90RhFiRX0C0FbDUhx3nPVOOU6V\nWYQ2qEAMaqR1aaezFSUDjqv8FiIWJ6U1GYgUEt2EugUF26ASMcKajNSVCWXJTvbHO0Pbgd1GoUUy\nMAXA5QBWCiEGCCE62r5uBbASwGW2bYjCxvztJ1WH4FIoXaAR6VE0anCZyAAA7LJcDAAo5wDigAnm\nW1rPRq3HZ6OimS2Do671v1zGoBpRAASKYB03EMipRatrLRgxc4fTx9o7JCEFMhYnZX0BiVYzCjn7\nHJNSYlNaHnafLHK6j+O0ovm29RfMiESJPAuAup4U1XxZdKwBKeUSIcQ4WFcIXtXoYQuACVLKhf6e\nh9RIyylFflk1rovr4HWrWDjT83z4VnqPjwLBVGNGyyifFoMnL10mjttbIHfbkoEKDiBuyIOPlNEt\nfkZPkY03akagBIFZiM3bxpG6EqE6bUW50rfU9rYZgwoRa7+vWLbBOaIkoBe3c7Ydx+pDzi/sG/dW\n5DksfBbIQcSb0vIx7Lvm57Rx7LEocPh7Fco2aCsqGiQx4cTvZAAApJT/EUL8BOAhABfb7j4CYKGU\n8njze1Kw+Dq7zcBP1gMAZgy/Frf07qxlSOQDbwcwhpow//V9NnNTOubvOIkjOWUYct0F+Pf9V6oO\nKWBuitiDl1v8iq9rB2Glpb+mx/bm9dc3on4RqLqegRq0QJVsgRhRG3IDiM0ersjsjZ4iC6NbWNsS\nt1t6Y5b5jma3DWZTVeNBpm0VLuwF1LfCOw4crhs34G4AsZTS54a+4/nN94h0aDRmoChIaw18te6o\ny8frBg/XxVWnCG3QHTmaTMVqRJokAwBgu+j/RKvjkba+2+jfTB0fLT/EZEAHSqtUDrwio3p7af1q\np7O3ngjpZODlFr/i2ohUtGqxECurtU0GvFG3CFSNjMR+GWe/vxwtEYOykOsZSD7hXa31utRcLEzO\ncrnNxaL+8a7C9eq8wey4btozEPgyIVONGa/+tAdtYppetrVzsrhXkW16UXdjBjILK3FBh7M0jNTK\ncQBxoYxFHtqiSkYhRtTgQoULj3VskAzU91bUJSvh2jPAFYjDxIe/H1IdQlg5U1KFZ+J34LPVR9xv\nTERN+Hptd67totHxYkSFPwlrMnBIXgATYuz3l0vrjEJ6GkB8lTiKBdHv4NHINT4fw9uegSe/3+52\nG8epWR3LTlS7SDQeMxD4noEPlqXgt72nMH9H0/FodWVCjrMIFdtuW8cMaNNr482ij+0dWtgL0QYS\nEci0DdRVudZA++bKhGx/L2vc4dcF7XXPgBBiNax/qb9JKWttP7sjpZS3eR0dkUHlllYhMSUHiSk5\nGPyn8wLS8qKaEd4uTTXmoJzHWauoxSIREWGscTbvJxx0v5Ef9mcVY/2RXDx27YUBOoNEJxQDUFuT\n3xHFuDDCesGzy3JJg8fqBhG3CeAA4v1ZxdjVzABKZ15osQTXRRxGT5GNH823BCwub/VwSAY6BKHF\n1pP3ixhU43yR1+C+YMwm9MMW5xXXMahGK2Fd5LBQOo4ZsPYMRAkzWsOEcodpbX2VU+r5c7YuGS+R\nrVBru9Q8KTujJ07hfIXJQOPypTp1PQMxogYtUd0ggQ8HvpQJXQTrwGDh8LMRrguIlCgorw7JZEAF\nb0sBPGl99JfFIvHgF5ub3P/luqN48ZaLneyhX99sCOzCX4OmbQQAbD3WtOQj9UzDiz1f6pjboBIt\nhXXa4tYwwfrRpF1C5hhTbmnzNf9/spUIAcBuS8M1N+uSgUD1DNSYLfa/s6cusS1a1VGUQsAC6WHR\nwL7MYvzj5z2464pz8eeLOngdqzs9Is7Ybwejp6fWg96NHuK0fbXfOqoW9gIatnQ7DiB2rNFvhzJN\nkoENR/Lcb2TTodEqvwBwwja9aCdRgtao9DsmXybq6AhrmZBZCnvvCdCwV6U9ynAqzJIBr8uEpJQ9\npJQXSSlrHH6Oc/elfehkZOE0MVGZDuv8jToQ19unzbZ013XG/tqfVYx//Ox8Ab3Jfxz2+Dh/j1yK\n11vMUbwYT/Csd7JC8sqDZ5xs6R3HeuAWwoIYaLueieMA4gwXq6j3dUgGdslGPQO2tQYCNbVomcm7\n51AL1Dao4W7jRZLy8PTNOHS6FFMSU706p6d66LBMqPF4ASA4Ywaa41jj3mDMgG1qUQA4O4jrINSp\n+385JijH5Ln2247jQYKpLqksQhtYHC6BGyRPYThuwK8xA0KIVkKIkUKIm7UKiCjUfLY6zf1G5BG9\n5TCDpm3EL8mZXu3TOBHuJU7i9ah5+HuLBNwTsVXD6LTXFmWIgHczkwUz8a8rEarTXKlQdlElpq46\ngrScwFxg9rWNFyiSrZEuuzZ4zF4mpJMBxBeKHESJ+vIYb+Iy1dQ/FzZ60WrsiVYwoauoL79z1zOg\nRQOHJ2VCTpMBhesMtGsuGXC4rSQZsMXlGNMReZ799iURapKBjrbnkePgYaBhnEwGvCSlrAQwGUAv\nbcKhcJGRr3YqtmDackzdaotGpbeL/kByrJ+9PEK/MzEPiNiN3THPISH6dXRsdNHtiq8Xab7kEJ0c\negaA5lvfB0xei09WptqnTvZFTjNlQhGw4KqIYwDq1hdo+JtU/H/23jxOjqM8H39qZi/tfei2bMkn\nNjY2mDOxQyCEcJhAIPwC4QghQIBchEAIEMIVCBAOGxL4YnDANuawMRgMBmMj3weWJVm2JcuHbmm1\nWmnv+5jp+v3RXdVVPX1UdVf1zErzfD778WpnvNM7R/f7vs/xcpnQPGrhnR4sbjtSTrn/93azQ48N\nRGaKejAFEtOIZnkmmdxky/7kRCS2cGyRFrHfcWUv1Si2GeQ8f8EzAFkmlC8oPy7RpPuks45/z6Rp\neaPXkwmJxwVU+/mqPkykCT0BYE3iveqoQ4A4Uaojf1S/BEmH40FdNl+S3/uitKVaF0gVvL54JwqE\n4pzCAVzZ9AW0W56GpnmPLidqzMBCyr0rKjiD9KODuI/L9guImPJkQo2kbFzGlAbBZJyOKm/TZRAl\nQoAr+6qFY2PP1wG6EsNwp8vV3DPQK0V4CmlC1JcJxU26w5r1gfFsrFUHZjnbJHoGjqGbR56eVa1m\ngDMDcjMgPncnYryoiWbgiwD+jhBS9wXUUccSwVItqpdqE8PwtY1PYVPAxyBO9qpFnavgmQV/mc8z\nCvtweeOlaKqBYlYEMwcytFUhvlMyD9PKZkA0TaYxEc8slHD3U8cwXzKTlFXJDNSGfOnUQDMA1EKR\nRvnztYeuwQTP8q9eM9AdiPBkkDwDms3KP/zgoUzH1BOR2AMQPElddsDEuU6XdWzCIn9/V8iEBKag\nu0b8KXnCRDNwJoCjAHYSQn5CCPkiIeTTga9PGXicOqoIm5O0OvJHNYrqM8ghvKd4I1ZAPfLweMNX\nbq00WoqTvXVkCMtSFIhZJ3lJWI7xijjFi4o7cGnj11FLLVoFM1CFwpb5BYDKJCHANxAD6UzE771m\nK976f5vwbxHGdV2cVgg0AzUwfQcqmQEA6K1ykbYC4+j03lO76VpMwE2Jq6ZnQGyQxkKiMgGgW7NZ\nUZFLxaE3QroEALsc1zewjgxZSdSKSxgSBy/DgeMak5iUE0fGzGCiGfgYgPMANAF4LYAPeD8LftWx\nhLHn2In34ajDLL7a+HV8uPFH+EDDddU+lJpCsMA5PSDbUMHbv/ugqcMJxQXCtPuzi2/CXmcVAOCS\n4iY8l6inJtmGqkwoLVQmkcwDMkB7JR0yAzMQA3rJPQx3eklMP9um/z4JQ/D9Vo0GKgwbCmHMgN1m\n4JFD8YMK5hcAXGaASXGWkYWqsWRs+/AiLWJSYJ0mJGYgmlGxYfDvjmQGwJkBIH9ZpCjJHA0c1yRa\nUabuk1EryVV5wkQzcKrC12kGHqeOOuowhLxlQkWU8TTibs5cX8VV9LWI3oDp9cwUkXuPH7F78RIl\nQhudC/Hx0tv5v08iZlNksqBP0UCcFtMLybGdbJnYJA3PUBebgbjJ6PZ+dZN2WnRhiqerMNQKM8Bk\nQtPUz3vvjWkGTJzT7tkVH/YgSqr2OGs4MwBUjx3wtw+3QXwWHBQwTt3ji/MMvPt7W/DUoNnzhzjg\nCBbdYjNwViHfZkBsJocDMiGKAsa9BqrODKQApXS/ypeJg62jjjqWJlZhFA3ElZq1ZZg8LlWvQxyC\nBc4ZNegbuIC4zcA4bcVeuloyJ7aS6OVbeSMYLdpmmBm47LdPJd6HFfhRC5VEmVDcFP7X2ysjLE0j\njIWy7RnYNzSNP/ryHbH3accMVngsz8OC1KraE1vRbL2brpU+B3lsIQ4DkwmNBYpuwDcRd8d4Bh4b\nmMAbvmU20ljyDATkOE85frxo3rsG+iAeV2fF7axx6c5hwV2tIXMzQAjZQwh5dcztryKE7Mn6OHXU\nUcfSxVphelwNU2ctIygTSsMM2ASBw5mBh53TQVHAjLCdM43HQQVDU/pNRqVMKP/3GmMjxIm2iBmJ\nGahuIxX0CwD29x+870cPJcpO1wuxog8JJmxbBmJVIyprnkZpO0bRGZDiVKcZ6ObLvSolaWyrbpLB\neWR6wegxiQMO0bsAVDdRqDdGJgT4z1dPPVo0FTYAIe9CH+0A1ht4nDqWGDbtHcHXb9+FibnaShyp\nI3+IUhJbm1eXKiqYgRprBk4jA3zD6jbqTmnnpGbAbCHBcLfmEqsmLKIrkJFfjfdaWwIzMKXIDOSB\nMGbA9jbdJweTCy0xSWibEM9afWbATxICEGAGqiQT4sxASDNAWTOQb3HbE5Fw5MJsolAQJIY/Fhu2\n0Rp6vmoBDYZ+T1xffRZwAroxTnAslBz8xeX3AwCeGpzEZW98VpWPqA4Reee/nER8La6NBImlikaU\nKoqI9WQQzVjAPJqqdFQymEQI8AuzGWHqXSsyoWCsKFCdLb9MmjQlMAAixCah2iwZK26naAtKKKKb\nTNfEZmQxSWgXPQljtA3dZDrWM7B5/yies6HX2jE1YwEne+bw3c5aAJA8A9VgBgpwuFchbNLNNfAG\nJ92UUrzvR9uw4/A4NvS1hd6HyYQmaCtKIWXmLuckPK/wBNaRIbRhNrJxNg2x+Z4KeUzGDLiyKorj\nU5gajlTMACHkbYSQ2wght3k/+hj7d+DrIQAfB3CPsSOuY0lgdsHPwDaVepEnHMduudw/NovFJR7X\n+qtH1TXNlTKhdM+vjeSLakLMs56lbvFfJDQ0VrFaEM3DTL8ty4RqpBkglYbbvJmBRpTQ5C1bmqFR\nzYAQLWolWlEdrBnYS1dj0jOb1oKB+FQvSahECzhIV/BEmrg0oc//+nHsOpqx6I3RC51GBlAg7u1P\nUVf3PpGDZ2Cx7OAD1z0celsXpvgxhcqEvEl3G5k3lnb0yKFx3PjwYew+No2Nj4eHQbCmLWz6Dsgm\n4jyZULHRDW0GvONtJOWaaIrzRFqZUC/c/QJnwj33rBb+zb7OANAC4IcA3pP5SOuoI0fYbAVu3j6A\niz5/G/7i8vtBdbemGMLffX8r7t2VPgVmcm4R7/vRNuX7izKhIqFoSSktqdLTZQ1ikssW50z+fS35\nBi7wmoGDzgoMowsAMIcmOF4MX7V17wxBvwBg3kCcBPHxVAzEWcz0WVFEGeu9pnMPXYtJb8pdbekS\n4DMDh+gKlNCgrOXOmooTd3oRP5OsGRgXPAO20oS+d/9+/GRruLZe3jFQWXiPW/A0qMh+e7iPoZKt\nAKqXKMTM8dO0GU5I+Tsq7WY4saRCqZoBSumllNKTKaUnw+VR/pH9W/g6hVJ6DqX0rZTS6uydrqN6\nOM4muCbxnmu2AgAeOjCGidnkqEJbePMVD6T+f8dn9aZMa4kc2ZfW2LkUe4Gbtw/glh3hk35x0rnJ\nOYd/XyubiJuxgHOIGwb3MBUXaBHMejKm1hrxgCwnITKhnI9NfLwoA/G0ZQOx6ql3HTnGWYzdzlqe\nUV8LzAAzEO+jqwFAiRkwgbjn7gyhaN3FmQEhWtQSM7D9cHTErLx9OMQQKxS3eaYdsSYluGOA4SlH\n3DWQ37nOl/CFN+pjArtiUlq1FJDZM0ApNWFCrqOOOo5b0Ios+lYyB9Au7d+01HrMe3cN8ebvunf/\nXsXtos79EXoa5mkjmskiTq8RZuBcso8XjA8FtunOohltmK8ZmZAYKzpDm9FK5lNR/V+5Jf0SNdEP\nE8UMzKEJZUpQJDT2+MKUitdvSZ6rlRXpM9E8vIeuwfnUZYBsR4smoQMzvLHb6zUDTA/fg0kQOKBG\nsk8qEffMneE9X7O0Cf10OQBwNgUAOqvgGRCbozBJjsgM5FfcUv5YYdIlADiGLu4DSVo8Vo6R7Ia9\n1eM2EDPWaypiB4jYPPWQqaU5fUoJE9Gi5xBC3hJz+1sIIWdnfZw66jgeEXfiOl7QiemKCe2JoscU\n6f1fPFzpnREv5sdoF3ZT15hYKzKhC0L8Agyz3uTbVpqQLkSZ0H7qbkjWlQntHJjA127blXzHCLRL\nMqFwzwBA+G1xrMqNIV6rD/44XDsu4toHDybeBwgs0KJreGHbUeXPpuiX4cyAN/UuEmpFjqNyFmaf\nyV10LW9Gyijy5XJJ8Z020Euil3sBcnGbl+ylGYto9AYIUUW3TqKQydjT9gRmQGxeTrR4URPt9WcB\nRDYDAN4E4D8NPE4dddSxBHESqdzqqWOcPDQ6Y93QXS30BXKvmRb5VDKAIspR/1tuOL/grogp0QK2\n01Ol25iJuGbShLzncp42YIC6qTI6MqG7njyGV3z17kzHID4X0xEGYsBnDeLkcv1j6Yryy+/cHXnb\nZxr+D79u+jDeW7xRavT20tW8cGsmi8bMpmkgMhasqRMLXdtSoTA0oMSbFCYRYmDTd1uegTiipzs2\nwjPQDCQwF6bOse0KvhnAlwqxRKE80KHBDJxo8aImmoEXALg95vbbAFTy43XUkRGlJZ7Gc6IgKBEC\nklNePnvTTgDAVfftw8VfuB3/+MOHrBxbtdEDeVMn287ZRMrS4qVqYQ0ZAQAcpn3SbgHAlQkBtZMm\nxGRCw+jkkz+dpvOvvrMp8zG0KTEDfqNgI+1oYi7ch7QCo3hLw0acUziAf2v8Ef606G6d7ad9mEWL\nJHmxydzNLsY1uRR/1XALAMChBDudUwDIevjgkr48sJ4M8mm3uEEXAE9hsrVn4LHDlV4YBtlAHB0t\nCiQzAzc85E7os4ZaiO/pqZiG+Cma/yZidj6I9AzQOjOQBb0AxmJunwSw3MDj1LGEkEcE5PEwKz7e\n0nHCsDasGUgo0q68bx8A4BM37gAA3OTFmB5v0aKM5p+hzZhDszR1/P3CDvRhHAVUr+llRaG4aZWB\n7Rqolb0RTGc+RLt4EdJK5nN9/sT3dTwz0FJxf9uI2t67x3EXaE0KZtiOKi3QeklhKy4suDKtnzu/\nj0G4DM+opOXOvxkQZXtBZoDtGrC1ZyDOAyJGE4+FfEZ1DMQ7vKbj1seyDSFUmQG2uA0ATiHhEaVm\nQQWZUPhnUzIQ15kBbRwGcGHM7c8BUP0R1wmGakVWHi+oxZrzp1sP4ap791X7MLQRTBICaieBJk8M\njFdOW9mUk2mixWnZZxq/iy0t78VjzW/HXxY35nOQAbBkGbFQZODMQI3IhJhnYJh2Vm2xlzgVjSuE\nODOQcQK/ae8INnz4JnzqFzsS7ysaXH9ZfgF2OqdgkRbx4/IfAgBPEwKqkyhE4OCDDdcBABZpEZeW\nXs9vE1Np4haP2YJocq2QCXm7BvJM62FgDd4EXRa63CuNgfhrtz2V6ZikhjiGHRMblTzibFW8DNNo\nwQItAqg3A2nwCwBvJ4S8IngDIeQSAG/z7lNHjvjVo7WztKiO7NiyfxT/ct3D+PKtT1b7ULSxLoQZ\nUJEh/P33t1b8zFaP24EZKzppIrSVv91ZOf1ihQ0rdvbR1ThEZSK1hSziHcVfGz82FbAJ8WRIYevL\nhKpvICZw0AufGZAXe8W/10wOTuRCKDxa1L3NZy6ygG15/67CkECUsfyi/Ht4xcLncc78d3GjcxEA\ncCMsUJ1EoVcX7sM5Bdf8fG35RTjg+QUAWSbUEyMTmivZ8dkwk+sCLXIfA8OE5BnIdwjHmoGwHQMA\nMI8mvsywO6dmRSzsJyMNxLJUJ675jGODdQI4OhIWjnmPhjHvvVaPFtXHpwH8KYBfEkLuAfCI9/ML\nAFwE4ACATxl4nDo0cMU9e6p9CHUoQPVUlmVBmA1s74/WsQbBZEJztBEtxC24VfLVb9LYcJwFp5HD\nuKnpoxhDO14y/yXMxEyzTKPXk7aM0E4AbjrJa+b/Ey8sPII+MoHXF+/C2YWDWEVGczsmH5RfQMOa\nAV8mNA/3nWyXT4sr2nswhaK3iXUIXdLkr43MxX7Qdh+bxhkrw4spXUjMQEwhxJqBPFO1RIMrk7aI\n02TV4swGGlHCvzRcD8CN7vxa6XXS7bKBOLpIe/+1yWlLacBiRffQtSijKN3GmIEG4qANc7GMkGn4\nEZ7hef6Ayw4sw0Juxa2qTEiWpdn/HIgL/qZCmE6GMdqGlWQs9n12PCIzM0ApHQbwPADfBXA+gL/3\nvp4B4DsAnkcpPZb1ceqofSyWHVx9/z78NqPmsI7ax3uu2aJ8XyYTEun1WthyyvDCwiNYRhawhoxI\nCSv2QfmUc0S4mA+jCzc4f4ArypfgfufpANyLpUltvkpyiEirh8mEWJpQgVA055A+c2NINCuDGCs6\nRDslZiC54LbFDMQZiN0iqYUs5pYaJfoAJkJeT/E1ttGkxL3nXlu8G+sLLnN2VfllOIoe6fZxtPGN\n13HMQFrENZoFODzhaJcX/StCfC5t+QaiwPwTUcwA4L+uqmZ1ktDUJ90uN8TRn4EJRcO6LnE3GWGg\nb5eYgejjGuXMQP5ytGrCyOYOSukQpfSdcM3Eq72vXkrpu+qNwImDa363Hx//+Q688+rN2D9U/S2W\nWXDb43kYmmrTm2ASjShhpZcvIOrha8V0CsjxnqsxktvjdmCWL/SK2tR5jHbz71caZAeu3ZycRS9O\nksWkGYZZQQaTx+v5vh9ti7xNfA2HaJc0lbeR2BMF1gw41N/QHAZZxpTP8YUxAyLE19j0pPbgyAwu\n/sJteOO37g+9/dnE1ak7lOCbpVdV3F5GkevfbXoGwgrPk8lRNHuMZtAvAMi6fFuJQuFIXu4F6LNQ\njw2os75haFOS4wDzaMSip883+bw9cih8Y3OHxAxEHxdjevKSVdUKjK7xoy6Oel91B+sJhu/dv59/\n/9DBasgazOGdV2+28nuD2eHH+4dkNRlGwZNv7HXW8JO/Tv67bfQJm2tZlGYeEFNRopqBQepPSFfF\nhrbp4SM/fTTxPuIkOUz7y2RCgJrsyyZWCK/hMLqkyV+eS7SYFGEGzbFbcsWJaW7NgFDcTNDK5BlR\nCmaCGXjdN+7FvKfh/9D1j+Dw+Bx+tyf889Xuvdem0MI120Gwz0jeaUJi7CXLxhchMgN5biFuQlb5\nAwAAIABJREFUxTyaiTsFD1s4xsA+uyps7B1PHI3d+KuCdsVELYDw91wesrR2xSaFPZddmK5qklve\nMNIMEEJ6CSGfJYQ8QAjZSwj5fe/nywkhnyaEPN3E49RRx1LHPx2neflREM3D/XS5v6iqppgBv7hY\nlWMz0Adh4VhEATQoyCXy9g2IF+ipBGag2olCfZJMKMAMKBS2c7HZ9+pghX2cRCh4e17JWvLrWVkM\nmY4W3XpgDFd5EcFJC9Q6eORjTJHmfUbyzn+XY0VDZEICM5DnFmJRLhUnE/IX3CV/Dv7lumTPRZJp\nV9ozkPA5YO+5uIY97vF0Rs6qjAWLaC0QWpVUrWohczNACDkJwFYAHwLQAeAUwH0HUEqHALwBwLuz\nPk4ddQSxFLmnLfuXJmOycecgvn77Lswu6BVNa+HHih5GX6plULYhSkx0mIGs5KfMDHSG3kdkBlbk\n3AwkpYJIzUCVE4VEz8Aw7ZSKEBWZ0PyimQkge6w4GQIATU+DGTApxhRtqTDBBo8paZuu6nv/6IRa\nk8jea3Gma7ZrwAYzEPfXsCShMiXYK2TjM4wLLIutLcRhEKMv42RCU1IzYP+iqWogBoRjS9l8lsoa\naUKKKUdjVd52XS2YYAb+C0AngGcDeCEqZdA/B/ASA49TRx1LFlEXz6Wgphuamsc7rtqML/7mCXzl\n1ie0/t+1QWbAo43TGohtLB0TZUI60/c7n8xmhxKbkCiZ0FHBM7CKmJMJqUCc1oV5BmpJJrTcY1kc\nSjCCjkCxnb9nYCYmVhSQ5RNZ40VVwQrVML8A4CYLsdc0b4N/0mZYwJdvdGPKuHzjqUG36AubQp/u\nMQP76GosoLHidvH5VGUGTJz3Re9E2PZhBlb4NhAn1uj/3fv2YmQ6e1PPGuI52hjadErHhmRmIA4X\nfPoWfOSnjyTfEepNithYnUhbiE00Ay8H8L+U0kcQ3nbuBVAptKvDKo53Y+pSw4P7liYjAAD7h/0L\n3P/ds1fr/z3JawYcSnCE9vr56lUuHkVIBmINZuD2jCZzkeYfiZAJjaMN89QtQHKXCSWkz8xIMqHq\nMj1MJjSCDpRRlKID23IsbH2ZUC0yA+7nOMwvwJCnhlsEaz6mYjTm7DNSJNS4Nj86qYpymdDuEIkQ\nEGAGFJuBf/uJWgEbB7FQVTEQAwlyHENzqTYFyRcDlwllkKX9cFNyGAIgN7hxzJ0oueo6geJFTTQD\nXXB3CUSh0fuq4ziHeC6pNyMyoiYutc8LAAVhHK/rLWOxosfQhQU08olomsmjShymLpqwiE7hWFZg\nHA0Ij6ZLgzgmo1fBQAwQDHrsQN7NQGeCxlxOE6oyMyBsHwZkrbINSdrN28N3YLCpaLxxElXZkMwK\nwShmAPCLpLyZgXYVz4DiroE0iCqEV2AcbR5zsyeiGRA9A6oyoes2H0q+UwK6hfPHaIxnQN65Yf91\nbVeUygF+85lHQyx+zsL2pjCM1ZmB1NgH4NyY2y8GsPTWptZRxxJEA0r414Yf4a3FW4z9zmIhfWvH\nmIHD3lZdnxnQL4B++GDczCEdeiHH6BUIlZJpbKLXYwbKlGA8ZrLHMtdXGEwTCoJSio/eICcMiRfo\nsD0Ds6JMqMoG4uXE3z4MAHNoQtnLpTddaJTKDt5zTeV2bEDDQEz1PA0mwKbWYa8lg6psQ3WKrCbr\no/w1imNURhS3EKfBb3eG78YRJ9YjEQX3DJp5Slq+BmK/UI1KYALkBsvEZyHptfdfy+TljUzC1ExK\naLbsO2KegRItYC4m9ldkBrrrzIAWrgXwTkLI84SfUQAghLwNwJ8D+IGBx6mjjjoS8Lbib/D3DTfi\nPxuvxIXETA9eSC3Up5wZ6PeagSwG4hu3RS+dSgtRIsSwhgyH3NM82PbhMbTDiTkV58EM/GbHIH7w\ngNxsSdGiYRuIJQNxdZqBk3AMry/eyRulYTAjNuGFpUqxnZSQIqIUwVAV4PCmKJkZEJmLnGRCCZ4B\nQC+G0hRasMC3R8cbO/0izfSugcUII6q8RC7q2Ah/TqtmIFZkBkz4Z27ecST2di2ZkLjbwvLnQG5S\noq9poydoM9CQfJdEfB7AHwO4G8AWuI3AfxJCegE8DcA9AC4z8Dh1aKDq8hMbTs8lDBPGLBW8vng3\n//7lxQextXRW5t+ZthnoxSSWEffv7qd9AHzTaTMpoRElLGqcgijM0OsiwpqBVWQ08QNEKcXUfLY4\nSlbQRCUJMRz1EoXayRzaMJuoR0+DvUOVE012cXYoCZ3yzVaxGSiijGsaP4ffKz4m/XyA9vLvp9CC\nTszkpslvVdw+DASZAfvPXTMWeCZ9mP+DYbIKRW2HZOyM8QxUIeUlKVGLYYK2oo9MKnsGTIA91iIt\nxm+7Fv0pZCZzcSB6yMLQriiVAwKNCpnhzJ4NtHvv6bAwBBGiTKi7LhNSB6V0FsCLAHwMQDOAOQAX\nAigB+HcAL6WU2t9VX8cJh6XUbyyW7S8vOYfsxzkFf7r7ssKDMNEWppUJPbfgJw8doKsAyNMiXanQ\npr3mdwD0obIZUDERv+vqzfjJ1myNCZMJRZmHGaTFYzn6BjqERVBhC7RmqigTegbZKzUCDiXY6pyB\nH5T94DoWU5mXDEf0TejsGciDGZC3D0cbiLlnALMgBhN74piXNkVjp7iLo9ewTIghKIERjdRxrynb\nQmxj6VjU2VdmeqLP0aZlQiTBEagqlQMUmQFDk01VL8M8mjBLXRmRaW9KLcMEMwCv2P+i91VHjpiY\nW8Sbv/0AljUVcc07no+mBqNLpZc8ZhfKuG/3EJ53ai86Wo5vH/tri/dI/15fOIqnkYN4gp6S6fem\nbbr+zDsehxL8tnwhAPBoUcC9aMRp5fNAGDOQ1AzMLZbx253ZkoQAnxmI2x4KyPGiK8lYpJHRNDoS\nJmm6MqGSwYZYpO+/WnodvlN6ecV7iRUjSQXQfMnMcYlT5KSp6Ixlg3MQ4sQ6bsLNXusCoWjFvBUW\nKgjVzbAjFg3EAPC5X+/EjsPy+UB8baZiGBWW0JSnZ4DtjYhjeoDg9N3ue02UyikZiIOL7ixKGlRM\n6gyjaMcyjNSZgTqWDi679Sk82j+OTXtH8MNN/lR4CQ3NU+NLtyRn3r//2m14x1Wb8c6rNudwRPow\nFedWgIPXFO8FAD7VAIA/KWT/u9O8lzoxjT8quNuW73eejkG48o1pzWVQtrE8tBmIn747Bl60RpT4\nxTw6SciFuIV4JZKZgcEJM88rM9xFGU5nxS26Cs3A7U9k28sgQpzYPuCcHdpUspjKpPfZV24x461R\n05e7cFDAnBcZm8f2ZlVmQPSGxMWLvvmKB5Sy8onCJEEsUOMKyAm0wfFM4aYNxABw+Z17Qo5NrVGZ\n4MyAeXlV1LPMWIi41xMwzwwMx0he2zSkckDw/WbZM8AX2yUf17jFBXe1Cm1mgBDyV2keiFJ6dZr/\nr454HBr1Tz6/3TmIt/3+huodjIgclmldfucefOQV58Teh5mdHvAkJk8NTuLq+/fj9c9ehwtO7o77\nX5cULips50upvl1+Jd5c3Ig+MomXFTfjf8qvy/14XlHcxDXKP3Mu4j+fznkimgSWJlSmBAPowzoy\npLVrIC26FXYMMOjKhExkmAMiMxBeBC2iiBItoIE4SjKh2cVsHgsRnaK5OaJZmVaMLdyYcV8Eg9h0\nqBQcM2hGCxZziWVN2hnBMClNkWcjK9H79wxj6wG1dKv7dw/j4Ej0a9Cu6BlwUMAY2tCLKeMG4iiI\nhtupmGNjz2k7mUMR5cRlWzrYdTR8Op2GGTARLbpzoHKAwn+/xvZhQH6/Re0aMFVJsPdZXKwoAzOr\nd1mQfdUq0siEroT7+ugMDCmAejNgGXc/NZR8pxMcl/zPPVgoOfje7/Zj3+cvqfbhGMPrBOPw9eU/\nxCqM4Q0Nd+C8wj6chGPox4pcj+fPCi5LMU8bcXPZDxqTjZPRxUZeYDKhEXSgny53mwHYbwbkHQNq\nBmJArRnYdtBMBGkHXwQVnaIyg2Z0YhYtORuIxal11MWdFW9u0xl/yTIxu2hTLGoZZtCCXkzFSqxm\nFtR3XpTKDhqK4WS/OjPgF5ZJU+45heZu58AEvnVX5cRdRJuiTAhw5Ti9ZCrTkiodtAuPk8RaMHRi\nGqOI/0ybgEo6FCA3Mban720Sy6PrGUj/mn7l1idxwbou/NHZK0NvJ3C09h9wD0hO77NaQJpm4MXG\nj6KOOnLCgiF9sCnoRBpGoRVzeJknB9rsnIUDdBVucZ6NN+AOAMBLi1twZfnlmR9HFWswzM2dtzoX\nSid8efNq9ZmBPr6sqotP4F2ZkO68IxxHJ8MLPbWFYy4m0Io52ogWsoiVxN6ugSCSPAOAmyjUiVnr\n0+2HAw2OPOkOL27ZRb+RlNGMRczHZIt/9759mY+xTcNADHh7Gki8+fqjP3008rYgJudK6GkL/xtl\nJiW6GJqSJrXZm3WVAVWHooEY8J/XvOJYJc9ATKMibyGewWhCg58VBTj8eYvbKA24n9EyJSgSap2N\nVfV/8PtQMxKmr218CgDwu4+8JPR21deRgbEtnZgBgRMaoHC8QbsZoJTeaeNA6jhxUGsFeR5Q0dem\nxcsLm3hBcUP5YgDAPc4zME2b0Ubm8SeFzbk2A68u3se//3n5Ium2aeHkn2bxmGn0sUQf2sFjKZvJ\nInowaWS6d9eT4Tr5Xg2ZkLuFuAfrydFYZmBibhGdLY1G/EINKPFY2LglVTMKBa0JBKU84oQzqlkJ\nbvmNawZYMZEFbRoGYgCY9Y4nrpH6maHdGh0pmIG8Ill1CrUse0rSgBXci7SIeUQHUIjT+TykJe3S\n6xnPDLCdG52Ysb4/QpbKae4ZMHBsr/n6PaE/b9eULzFmoEAo2jGXGEd6POD4b3eOc1R9n4CA/jG1\nD/P3frff8pEcf5ici07nvaT4AABgnjbgl+UXuN+jCXc6FwAAnld4XNKo2wZLERql7bjDeaZ027SQ\nQFMLBmImExpGJwaFjPokE3FW9ArG5SRmAPBNxHEG4k//4rHI23TRrlBsA76JOO89AywdZ442Ru6q\nmApK0ixDZ88A4O9pyENiJaYJxXsGAukuOUAy6SYta/Nut52KwyAn0ES32Xlvre1UYMZETCr6Z7Ki\nQ2IGFPYMKBrWVTE4Ef5ZUt0XwSAyPXkmRFUTqZoBQshWQsjLhX8vI4T8NyHk9JD7vpGQE0h4VSNQ\nSXEwicm5ReWJ/3/+0lzRsuSh2M19++69oT9vwiJ+r+A+nw8450ipKreUnwMAaCAOXlzYFvr/P3Jo\nDE7ERtU0OIscxDmFgwCAX5WfX1GoBae11cQyzPGJ9hDtkhZW2TYR9wiRdWOJzIAfL+qaxMNfr+u3\n6O09+NQvduDm7eHbRDsUZSUq020b6OBmwOjCdlpKUbH/XhMfQ2UqyvY05LGjoVPyWMQtHTObPKMC\nHWnJTO4yIXFrbTRGc15U1aXgmRHhN1GWmQFxAq/wGXBQ4A2gCWYgCu26MqGcmZ5aQFpm4JkAeoV/\ntwL4AID1IfctAsI4sI7jEvfUzcuxsNWcPbvwJC8m7nLOl2570Hka//5kEi5XefX/3osv35oc0aqK\nc8k+/v0tznMqbq8wEFcRfYHpvJjaE9cMbFNMUYlDq6bRjpmIW8m8sSLtu/fuw3uu2RJqBO2UmIHo\niycraPOIxxTRoZCkkvdiL/E1nVa45LE9DXmwKmySPEcbsRAjd6kKM+C9NmVKpK3WYfDjYueNLkWL\nPDYerxtfQI7nzgyITE8yMzCVEzMgGYgVmAHAb05NMANRaNfwpQBBD0i9GdDFiRBtX1V88TeP4x1X\nPoihqeSLx9ScegrFUsaW/aN43TfuxXWbD1b7UKqCPyj4BsNgMyAWQ3HF2tdv323seERjrDhpDzum\ntpynyUGI24eH0YUjiszAm654IPNji5P0pAIIsLuFeHq+8lwhyYRiCu7ZHAtaEZ0K5uY8ly0BAWZA\nYfrIJFbueyE7Oxf3Gzp48ox6Jr3t5BkGVkBOJ0hx/Pt4/1+ObE/S6zkqNAM9OTADnVqeAf+zYFua\n2a4plQP8RisyWtQAcd2uKV8KpkOdCKh7BpYIdg5M4Ou378bGx4/iYzdsT7z/E4MnxrKMP/9/92Hr\ngTF86Hoz2epLDS8suH/3EdqDJ+k66TaxyGxB9KIYkxCXtIRt1hW31pqe1v77DY9iJGYhThAiMzBM\nO3EU3Xyp0WqF5V5ZwNicMiWxxkQGsRmISxTauHPQCAslyYRiig32euYuE9JkBvKQvDBmYI42KuXM\nM1algThogt3hjWom/QyaUaJuWZA0qTWVieDr8lU05vnuKWlPjNd1IcmEcmcGFJoBr5mxHy2qJxMC\n8mEtOhQjYhmC6VAnAurNwBLBEWGr6O/2DvPvc9jtpYTgYdTIYR3X6MM4zivsAwDcXX4GglM1scjM\nqxkQU3LECyQDRQHTXhFkekr1/QcO8CjGxXKyhEBsBoZoJ0powBC6ANj3DCzzChlXA51cvB+FvyBv\nVUyj8o6rNiv97UkQC8E4jS0raFvIIgoJsg2T1HGHQsa6LEnLc4qsNhGdFdKNbJuI/W21yckzvHDM\nScanWnAD8mtqW/8OBA3E0ZhFM+ap64/KpRlQTIdi4MwAZmHz6tymuKRNBGMeo95vv3wke6KWfFzJ\nzVPdM1BHHXXkiiyn5YsFidDdAYmQC5K7ppsxAxO0FaWIlJcZaRmUWdy84wg+8tNHccGnbsHtCZtl\nRZnQiBcjyqRN9psBtzlTkQgBQWYgnrWYNxDd26Gw4RfwpS5AslTIVAlSgINOruWOkQnlbIblZlMF\nDwggv/YmmJW4ZotNN+OeLwZ/UpuvZ0BFWiXexzYbJS+qSnpNCca84UcuMiHFjdIMrEEtEmpV0qfj\n/2BI8gx85qadxo4LUDMQn4iegTRLxxheTwg52/t+Gdxz/V8TQl4UuN95GR6jjiWKuoFEDXOLZew5\nNoXTVlRO0ZPwwqIrEXIowd1O+MdsDo1oxTwvPm2DeQbi4jKnaAtWkHFr09ofbjoAAHj7lQ/G3i8o\nEwIgLB6z2wwwmRBr1pIgbyG2v3hMvHhOxFw8xel2K+aVCrqsUI09lZiBHCQlrUSPGRBf+1Yyb5VO\nVWFSGCZpK0DyYwbYeUAl8nEqyAxYfM50F1WN0g6sImPoJvYluqKOXYUZkFOi5qQm3iTapM+AWhXA\nXvd2MocCHDgWZtQ68bWA/JyeKMxAlmbgz7wvEW+JuG9dNXKCof6Cy4haOvbab9yHkekFvPPiU/GW\nF6zHhuXJJ3bvN+KFHjOwnW6IXJDlTmemcjN49ngyodGYuExWMFY7WpQ1Awu0yIskZiLuIjNYZvGi\nyV4P9enZMszQZrSS+UQDsYlGvJOoGYjFgrYloaDtH81QXAqfH2mBVlxmvmg2zUVSomY2ZZjRYFVU\nEPXUN6CENq/5NJlJbyogrYMzA8mftTwNxG2ahnC2qKo7h+KRNWolWpB8WFGYlsz0szhGu2PunR6q\nsioRwUV3Ks2NLkSvhMprOY8mzNNGNJPF+p6BBJyq+XVa5iOto6ZwdHIOn7xxBzbuHARQO96FpQZm\neL3inr140ZfuwKiiAfYccgAryDiAyhQhEXPUndy2kPTMgM5Fv0eBGZjOOSs8CsvhPn+uRMj9I4/k\ntHiMSRxULuQuCN81kCQTMgFVz4CO1OW/f/N49gODLJGopT0DjBlQZXtmqVmZUBQ6NJNnWPOXj3GS\n8vOAkmcgx7hY3UVVLDChJ0dmwH09k0/QeUnmODOgaB4G5OfWVrwoGwbELSkMgjV3nTnJ5aqNVM0A\npXS/7pfpA6+DoTpV+D//aBuuvG8f3nHVZpRDllZVozm46r59+T+oIlQTXjYm6NwZ/qDgpyfdXY5u\nBkxEP6q/lpTrZWOZASErvJpgkiYmEQLcVCYGm1KhZZoyIUDcQmxfJsQ8A7O0KdL7AcjT7aSC1tQ5\nQSwY4oq0MoqYo66JPk9mQHUqKkqsbHp6OhRZHn4fnjxjvwhahnkUifvGUHne8oyL7dDUmbN40S4y\nk2imzwo/HUptil4hr7KEdg2Wh0GKs7V0bOy4VBa0MTDWsc4M1FFHDO7b7ScalRzHGGWcBZ+4cUfs\n7f1j1ZtEqya8DCge48UFN152irZgKz0z8n6s4MjDM9CJGTQQ9++MYwby3iIaBSYTEpuBAfTx71fD\nXjPQ6hWOqjIhQNxCPIq4IYCJz6J/8YwvHsXptlWTuvBHqcaeAn6hYV+SRvlrqmogFlkhEzKh3z42\niLd/d1PFz2V9uXomfQtZRKPlyFPdzbB5MgNyTGbyaypuf++ybCLu1PCAAPkzAyq6fAZZJmSnAe3Q\nSKxiqDMDddRhALXQHARx8Rduq9pj/8AztSZheqFyG2wY1hNXnrWDboilPWd59KP9ZiBpxwBD3ltE\nGV5VuB83NX0ELys8CICiz5MJDQt+C3kLsX2ZkF4z4B7bMrIQe4GaW9R/ToOf1w6ePpMUqSgbiPOA\nFKuYMBllRZxtmVAzFnkjrBwtStVZFRV86CeP4PYnKjeNy8kzKp4BteLMyDIozYJbLObsL9BS28LN\nIC0esxwvyhJuVJgeAJgS7mezMdZJhmKQt17bZQZ0joslCtWZgTrq0MBS8AxU8xgHx82egNmFMOni\nPseZgfTFxhV371W6n7hjYCRGJqQjLTGJf2y4AecW9uMzjd9BHybQRNzGS2QGhoTvbWl/C3DQQhYB\n6MmExGLDtJ47+NnoUKTVZwzHY6pAZgbij4+b1S3LhNpSbF6VnjuLrIruttrJgNnUJto0pTjyIrkc\nt+kqTJTHBGagu+aYgTxkQpR/DlR3DADy32DNM6Ap4QP846pvIK5jiaAGR/B1WIfq1k42ec6ydOza\nzQeV7iczA9FRqVNSM5BfohDb3LuCjONtDb/hPx+mXfz7SbTyDay9lpoBsTHTYQZsUf1hW5s7FHPp\nZ4NpQjlA1HInFUPsvWZ7z4CupAQwLxOKQodmJr3IDHRaft46pMjH5ELN5gbzIKQ4SoUicozms4WY\nwOHvZ2XPQA4yoWYsotEbsOgYiMXX3RozwPeS6DMDLWQRzTlFc1cT9WZgyaM2R/JLgSnIEyafjgaU\n+GQ56QLK0oRcz4DdF6VXUSY0I5nZ8mkGGlCSqPu/Kd7Mvx8WWAyKAt+c3AM7zYA4QVdPEwpe0M1N\n0L5y65MVP+tQ9AxUg+XRKW65TMjy+6xN+NtVpQjsswnYbQZ0PQMTkmzDrl5aN8ufosBlhrZf00wy\nIYvMQAdmUfBM16rMQDBa1AbSsGOA/NzaYgY6+PBMhxkQFo+dAOxAzTcDhJAiIeTDhJBdhJB5778f\nJoQUU/yuOwkhlBByjY1jtYkTcf5/MhnEz5r+A//eoP9y3fXkMfzrjx9O9bgHhqtnGFLxWujkXzNN\nd4FQNGMx07EloUdRJiSekPNiBoIXZ7GQEGVCADBmOSJQNNrqyIRsyTeCPhVx8pjEDNiWCb3/2m24\n7fFB6WfihXkqoRjyd1rkJ3dRbfBykwlpegbyLILEglu1gMwrmljXzyDJhCwyA7rbh4Hg0jFLzYAm\ny8Mwabn5bEQJzd7wTJW1A4JbiI9/E3HNNwMA/gfA5wDcBeDvAdzt/ftrOr+EEPJWAM82fnRVwNiM\n2aLuTcWN+Hbjl3EKGUy+cwSohanz24q34JmF3XhXw6+42VMVf/WdTfjxlkOx9/n4z7eH/vydV8dv\nrq02OjS2Kc4JBYeOVMhxKH772CC296s/7+rMgH9MeeS/A/K24SBEmRDgNzJ5MAM6MqG8cvPbMMcn\nj0mTNNtpQjc81I+/uXKz9LNOngzSkritNC+zuthcqhZCppeORUHXMyAWmLaLIN0sf8B/fvM0EKuw\nPaM5yYTkvRFqMqF5NHL5oy1GRTcZKuy+NhoV2Zei1jwB8mflRNhCrN0MEEIcQkhZ9yvNwRFCngHg\nPQC+Rin9G0rpFZTSt8NtBN7r3a7ye7oBfBHAZ9IcRy1gRjFlRhfNWMAnGq7CS4tb8LbiLcZ+r4k0\noWcUfOOqjZPr1ffvx+Z9lfGRTw6afyzVp+OOkDSQIHRMd7MppQg/29aPd169Ga/6n3uU/x9WPDuU\n8Fi2MIgX1tacZEK9QjMwT+X0peEAi8EaGVueAZENmdHJ487J2NmhIY/ILU0oZAOxSmGb18baNK/p\nPBrhUOL9//aZgUVa5IECcZCZgehmwGSELaAur5pGPglRrNmYpw1YQGPi/cdzMhDLaVqqxS3h1wpr\nzEAKlgdg237dc7INz0CahhMIMgP1ZiAMnw752gZXkHwLgK96X7d6P9vm3ScN3gi3jros8PPLvJ+/\nQfH3fAbABICvpDyOqmOhpD7V2nVUvYhZQ4bRTNws6SybTYlhIROBg6cTf1edrc58cCLdRbgZC7iA\n7NJaLnPlvcmpPDsHoifYDDrUurzYSJ0Z+PItlTryJLDieRxtKCNaxScnguSza6AP/vP6g/JLpNuC\nzIC4PKgI8024OEGf1ZEJWZqg0YDBp11jSVVe0+3f7fGb9k5FczMgN8tWIxU12DofhEuF8kgTUt1W\nKzMD0eddEwOqthSMCtO/25YJ6erMF9CIae/zbDNaVHxNVD0DgLhzw5ZJV/+1ZGDeJBueAd3lcQxi\nU3wiMANqe5kFUEo/Kf6bEPIWAOsBPItS+mjgtgsA3AZgV8rjew6AQUqpVEVRSvcSQo56t8eCEHIh\ngPcC+FNK6YLqJljv/10DYE3gx2cr/4IcEGbUPTqpfmFZS/zlYSbf8FkNxOvJoDQl6CQzNeOVPgnH\ncE3Tf+HUwiC+WnotLi39f4n/j0OBT/7iMSOPL550E9NeUiSW6DSTIpjGPm7hGCDrNm1T/QyiTOj6\n8gvx4sI2bCgMYoY2V2i8xe3J3ZjCMORmIStSG4hzSN0AgjKE+PeXgwLmaSOayWKsTGg2Y+G4SWDw\n2PElmZuBys2rg5bOIa0pDMSA26y3Yw4tVpkB97yuOkWekNKEoouzL9z8eLYDg9zUqsaOBPt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wC8yfvZRYSQD8H1EDQA+KyBx6nDIIooYzXcD8phLOfmGhWZ0Huv2Vrxs4VSeqnHNxsvxfsafsqL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qXO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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"monthly_norm = df_norm['load'].resample('MS').mean().bfill()\n",
"plt.plot(df_norm['load'], label='Hourly')\n",
"plt.plot(monthly_norm, label='Monthly Avg')\n",
"plt.ylabel('Normalized Electricity Demand')\n",
"plt.legend();"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Detailed information about SARIMA models may be found [here](https://people.duke.edu/~rnau/seasarim.htm). From the above plot and intuition, it's clear that this timeseries has yearly seasonality, i.e. $ m = 12 $. For the remaining hyper-parameters, the timeseries data is split into a training, validation, and test set, and they are tuned by performing a grid search and optimizing based upon validation set performance. Note that these sets are chosen sequentially, not randomly, because timeseries data must remain in its original sequence in order to be meaningful."
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"train = monthly_norm[:'2014']\n",
"validate = monthly_norm['2015':'2016']\n",
"test = monthly_norm['2017':]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"For forecasting electricity demand, the conventional error metric is mean absolute percentage error (MAPE), which is also used in this project. \n",
"\n",
"$$ MAPE = \\frac{1}{n} \\sum_{i=1}^{n} \\left| \\frac{\\hat{y_i}-y_i}{y_i} \\right| $$\n",
"\n",
"However, since normalized features are used, the denominator in the MAPE error equation is always less than 1 and this value can grow quite large. To prevent numerical issues, standard MAE is used for grid search while MAPE is used for test set evaluation on the original scale data.\n",
"\n",
"$$ MAE = \\frac{1}{n} \\sum_{i=1}^{n} \\left| \\hat{y_i}-y_i \\right| $$"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The [statsmodels](http://www.statsmodels.org/dev/generated/statsmodels.tsa.statespace.sarimax.SARIMAX.html) library is used to build a SARIMA model. Based on rules of thumb and the properties of this dataset, only values of 0 or 1 are considered for each hyperparameter."
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
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" \n",
" \n",
" | \n",
" p | \n",
" d | \n",
" q | \n",
" P | \n",
" D | \n",
" Q | \n",
" mae | \n",
"
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" \n",
" \n",
" \n",
" 44 | \n",
" 1.0 | \n",
" 1.0 | \n",
" 1.0 | \n",
" 0.0 | \n",
" 1.0 | \n",
" 0.0 | \n",
" 0.02265 | \n",
"
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" \n",
"
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"
"
],
"text/plain": [
" p d q P D Q mae\n",
"44 1.0 1.0 1.0 0.0 1.0 0.0 0.02265"
]
},
"execution_count": 24,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from itertools import product\n",
"from statsmodels.tsa.statespace.sarimax import SARIMAX\n",
"import warnings\n",
"warnings.filterwarnings('ignore')\n",
"\n",
"# train SARIMA model and get validation set performance\n",
"def get_sarima_mae(y_tr, hp, y_te):\n",
" try:\n",
" model = SARIMAX(y_tr, order=(hp[0],hp[1],hp[2]), seasonal_order=(hp[3],hp[4],hp[5],12)).fit()\n",
" y_hat = model.get_forecast(steps=len(y_te)).predicted_mean\n",
" return np.mean(np.abs(y_hat - y_te))\n",
" except:\n",
" return None\n",
"\n",
"# define potential SARIMA hyerparameters\n",
"p = d = q = P = D = Q = range(2)\n",
"hp_list = list(product(p,d,q,P,D,Q))\n",
"grid_search = pd.DataFrame(columns=['p','d','q','P','D','Q','mae'])\n",
"\n",
"# perform grid search\n",
"for i, hp in enumerate(hp_list):\n",
" mae = get_sarima_mae(train, hp, validate)\n",
" if mae != None:\n",
" params = {'p':hp[0], 'd':hp[1], 'q':hp[2], 'P':hp[3], 'D':hp[4], 'Q':hp[5], 'mae':mae}\n",
" grid_search = grid_search.append(params, ignore_index=True)\n",
"\n",
"# display best performing hyperparamters\n",
"grid_search.sort_values('mae').head(1)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The final monthly averages model is trained using the best hyperparameters found in grid search. Its forecasted predictions for the validation set are plotted against the observed values. This model appears to perform quite well."
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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ldn9GWustSqkNZA4mesf+v601B5tLAoEAhYWFaceLiooA+PDDD9Puu/POO7np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\n7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T9otVpcffXVtFr5v491Q9MMPMKhNKgAl64nzMAsStEE3nXLMd75iWMAXL7e5eBKG9sS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bzDidowGn8Zhf5hNBJuTu/qsAPG8xM7B9wv/5i8eEz5Rfj6DcaaPK1dpF9wz8q6tn8dwude8e\nVpT5NijBKRaLSCQSVhbaQc8AEL7zr1MvGEgkEtakO8GgZZAlQgCDgaFkIVddpHVaTUg3zJruNaCq\nenS6ePWVFrUQDOjZBhOZARsyIb0PgqmdMJUZWC9VsLJe8vkFgOqOeiOUZ8DEvNXD6UDsp1lmYCbE\nQJxnNSFfwYF65mGgWk0IAD57/ynv+p0H7QUD8ZjwZCCXAwbiVjID6nfHlxkw/H5PZEZ8C/st46lI\nPorgODZqUNou189N4sqZLMZTI3jXSw/0ejgDT71KPUoWYzMYKJfLXgaik2DAtkyoWCxGGmO/M7gC\nJ1KXRZOZAV0mZLgLsRcMdHgi1j0DKxY8Az5jqYlgQKslbswz4L5uE5WEFL7yoisFHK8JBhpnBorl\niqfh75ZnQLGzWWYgG5IZKNhbHA4Kui6/YTCgfTbU783sWAo37pyyNzg4mYvFtSIWcgXfGKK8Xw0z\nA4ZLiwohsH0yg6MXne9MFL+AGocQ8DxflAm1RjoRx1d//XZIyI58aMShUTBgS4Kjy2+U7r+dYKBU\nKiGbzVoPBtbX1we+khDAzMBQonsGOg0GbJTBVOgyoU6wXVpUf0wTi239JGWu6Zjqg2DuBDgbaDx2\nLCgTWmkcDOjyKpulRdvxDIzEY953Q8mdVNdSYOPuyOoyoYk6fgHA6Qg7EtjpvuPAFsQsVBHyPa8b\nrMznil4H80RctLTrruRFNjMDALBVKyUapeEY4AQRun8hm+B+XaskR2IMBAxRLxhQenwbC2C9u2/U\nkp1hcqZueQby+TyDAdKfzOsyoQ6rCelab1sG4o5lQpZLi+q79yZ26mz2GTCZGVDVhADg4koBxy62\nlhlYtWBqDiPoGZjOJiJ5FJRU6PKq44m4+/ELABxJh01ZUz+TScSRdKvKNMoMxGLC170WsOsXUKhg\nZSFX0BqGRXuv1O+M+t0xVdq4HnoAEDUzAPh/HzZqUEr6g17IhIBqd9+owUC9zICthmNANTNQKBQY\nDJD+xJcZMFhNaM2wZ0BVpul0F8fRyTvX7WQGtGDAyI4tkAAAIABJREFUcJ8B054Bk4sHXRd+YWUd\nxy/7MwPNgoFcwWxGpR7BzECzrIBikxcMFHD/iXnPIP3qm3Zs2AokQgi84sbtiAngpYcad23VKwql\nEzHcdpX9Eo6qotBCrugF0lFlhl5moFibGehUqhiG3lcgamYAqJqhR2LCaF8XQlpFGXC7mRkAqg29\nOg0GstmslfGpMSpvwzAEA8xBDiFKw5uIi453ZDNdKC3aaSUPIQRGkyNYWS9ZKi1qdofbRtMxVU3I\n5I62Xn7z0VOLNR2om1UT8gdR9nY4VTCodNbNKgkpVObj0koBn9FMsD/yjJ3GxzhI/NfX3oj3vOq6\nug3HFLpm//lXbe7KLrbKdJYq0vv8RWk45hynZEJu0zHrmQFNJtRCZkCVHmZWgPQaIQTS6XRoMJDJ\nZKz0GQCqwUCxWEQ6nW660I7H40gmk944VV8EW5kL9ZyqtOqgNxwDmBkYSlQ1oclMsuMdTqt9Btyd\nuaSBZjfKRGzDQKy/btMyId0z8PePnMUbPvpd3HvscsuPqfoMmDTq6ou9+47Pe9fVwmlxrYhiuX4w\nowdmNj0DQgjf4zdrOKZQ5UWX10v4/IOnAQD7t43j4I4J84McIIQQTQMBwF9e9M6DW2wOyUP3NJxZ\nzAOIrvdXn9tCqQIppXXPwKG5Se/6we3RP1NK9rRRK1qR/iKVSnkNwBRSSqTT0QPcVmlHgpPJZLxg\nwKbBWSGE8B6fmQHSl6g+A9MdmocBv4HNWmlRAyc9xzewbr3PgIl6+foupO4Z+C9/fwRHL64iVyjh\ns790W+THq1SkV+nJZGYgk4xjNBnHaqGMH55f8W6/cecU7nEDlvlcAVvGw08KvsyA5U6q46kRLOed\n9z56ZqB6olD3/dGb7XTPHUZUc7FEXOBF+7sUDIz6Te1A65kBwPntsZ0ZeNbuGfzp629GOhHH1VvH\nI99PBbb1Gr4R0k0SiQSEEKhUKojFYl65T5sL7XYq9ejH2C4rqkilUhBCMBgg/cmi6xnotJIQYFkm\nZKjPAFA9gdoJBszKhIQQyCTiWCuWfZ6Bc0vOTueDTy9iZb0UeTc9XyprpQjNfqU3jaWwGvAKPGNX\nNRi4vFoNBgqlCr7y2Dns3z6OfZvHAp4Bu7ucY+kRYNG5vjOiZ0DvNQAAMQG8+iYGA1F5wy27kCuU\ncNMV03UDQtPoXYjVZz6ygVgLGvLFst8zYKn6zEuv397yfd5w6y4cu7SKNz1vt/kBEdIiuh4/mUxa\nb+YFVCU4xWLRW3A3Q68o1I0xqnHGYrHIY+xnGAwMIfOaTKhTkiMxJOICxbI0X1q0aKa0KFA1qNrx\nDDjjjAlzO4iZpD8YyBfL3vOUKxL3HruMF14bbbdV34EfNazNnx1L4oQWDGSTcezfVt3lvKyVF/2r\ne07g3Z97FJvHU/jWf3hRYFx2f2r0wGluKpppbFOgI+xtV81iawtGz43OZCaBd9y1v6vPGZbtjC4T\nqp8ZiJpd6AavunEHXnXjjl4PgxAAtcGA7UpCQDUzoDwLrY6zW5kBlRGwKZnqFv3zC0iMUKlIz0Bs\nIjMAVLWr9jIDJmRCzmOsWvEMqC66I8ai/0ygsoleAQoA/vmpSy2PD7CTGdDZtWkUM1rJUd1EfP8J\nx1dwYXkdxy/l/JkBiwZiABjTNO6tVhNSUCLU/4SVSo4uE+p+ZoCQQSdYw78benwVDLQiv9GDgW4E\nLGqcqVRq4CVCAIOBoWN5vYSKmz7vtKyoQi0wTXYgLlckSu5AO60mBFR3nm30GVBBkMnqHuo1q2xL\nsEznvzwV3UTs24E3LMeZDQQDuzdlfYtofdxPz6951588v+J7L2x7BtSYxtMjkb0yukwom4zjrusa\nl9IkvWd6tPa9jVxa1Nfsr+JrmsfKPYSEEyzbabusKFCVCXUSDNgOWAB4zzEMwQBlQkPGosHuwwql\nkzfZZ0AvU2lEJuQGA4VSBcVyBQkDFYoUOdXQy6DURWUG1rzMgD8YeOTUIpbzRYxHqOriywwYluPM\nBhpL7Z4d9S2i9WDgpCYnevLCii+TZLPPAAD83PP34NxSHq95xlzk7M0WrU7+S67bZj1gIZ0zHZYZ\naMMzsFYs42tHzgMArtoyZrXaFSGDjFpkr687hn1Vv7+fMwPFYhHJZNIr/WmLeDweqfTpIMDMwJCx\nsGau+7BC7ZqZlAnpKXoTjXX0k7lpE3Gu6Db0MljqLygTmg/IhBzfwHzN/ULHZ3HRHZTS7N6UDQ0G\n8sUyzi+ve7c/eWHV34HYskzo0NwkPvELt+AnnnVF5PtsGkvhV150FZ6zewa/duc1FkdHTJFOxGtk\nQZFlQlrQ8J0nL+KC+3lt1lyNkI1MLzIDnQYD5XLZasMxBTMDpG9ZsJoZaB4MOPW7K01Nfeu+zIAB\nz4C2CF5ZLxkLhAA9M2C2bCdQbXx0OVfbwOtfnroUqWSjPzNgWCY0XusZSCeqJUdVMHBqYc133JMX\nVrDXLT3pmND7c9/hN++6ttdDIC0ynU16PQaA6AZi/bi/eaDaZO4lDAYIqUuwC7HthmNAZ8FAoVDw\n9QCwicqQjI6OWn8u2/TnGZq0zby2qJwyUE0IADIRK/VUKhKv/+h3cfPvfgVfevhMw2PXDdf41hfq\npk3EVc+Audg5HZQJaXIb1YQtqonY7xkwnRkIegacHz1V7/3SqrO7qvsFAOUZMN/7gJBgoB81M6D/\nzjx+zumbceVMtqWGYIRsNIJdiG03HAPa8wzE43GkUimsra11xS8AAGNjY7j55psxNjZm/blsw2Bg\nyFCVhABzmYHRiDKhJy+s4DtPXkKuUMav//X38cipxbrH+it5mJUJmTYRr3rVhMzLhFS2RZcJveCa\nWQCOb2ApX6y9cwDTfRB0No9Xf1DTiZins1fyIZUZOBnoRbBaKOPoRWfBZbusKNlYBA3iUT0DYRmE\nlx7aNvD1wQmxjepC3I2GY0C1u2+rcqRMJgMpZVcqCSmG5feDwcCQocuEJg1VE8pElAk9crq6+M8X\nK/iFv7jX0+UG8cmEjHUgdjDpGZCy2l/BZMUR3UAspfQyOom4wL85sBUAUJHAvceaVxVaLdir569n\nBnZvGkUs5vzwzQSCgWBmAACeurjqjInGXGKQoIk4ukyo9nRHiRAhzVFdiLvVzAtwApBWgwElFerW\nGIeJvg8GhBBxIcQ7hRBPCCHW3X/fKYRoeAYQQmSFEG8VQnxJCPG0ECInhHhMCPF+IcRUt8bfbfRg\nYHrUTGSsdptLFemrAhTkkVNLvv+fWczjbf//fb4sgMJmZsBkMFAoV7wSqCYXtXpgsV6qeMHAVDaJ\nW/du8v72z082lwrl1u11+p3MJDzZ0q5NVUOW6jUwnyuiUpE4OZ+rua/XFdmyeZhsLIIZz+gyIf/n\ncNtEGjfuHNpTASHGUIvstbW1ru26JxIJZLPZlioC6cFAtzIDw0LfBwMA/hjAfwbwjwB+GcA/uf//\noyb32wvgQwBG3X9/FcA3AfwagO8JIYZSKKqqCY3EhLGFoV5ysVF2QMmCZsdS3oL23uPzeN8XDtcc\nu26ptChgViakv16Ti1p9N3OtUPZkQtPZBHZtymL7pKPJjNJvYNU3RrO78LGYwFtesBdbJ1L46Vt3\ne7dvckuOlt0mdyozsCVgOAaYGSBmCWYGIvcZCAQNLzm0zct0EULqowcD3dLj79q1C9dc01qVNzXO\nbo1xmOjrYEAIcT2AtwL4Iynlz0opPyqlfDOcQOBt7t/rcRbATVLK26WUv+/e920AfhHAVQB+3voL\n6AGqz8BUNmFMy6br0FfqmIgrFYnHTjuZgevnJvAnr78ZV8w4nWD/6p4TXglNhelqQuPp6oJT9010\nim+hnTBpIPbXPJ935TbT2SSEELjFDaYePb3Y9PXongGT5U8Vv3nXtfjub92B266a9W7Ty4teWi3g\nadczcGD7BDYHAgLb3YfJxqI2M9CeZ4ASIUKiofT7KhjohgQnnU63XKWHwUD79HUwAOAnAQgAHwzc\n/kH39tfVu6OU8qKU8qGQP/1P99+DRkbYZyi5iSm/AODvQlvPA3ByPodld0f+0NwkZkaTeM1NcwAc\neVFwQWu6mtDcdKY6lsu1kpV20RutGS0tqmcGimXvfVO7nrfuc4KBigQ+9+Dpho+lqgllEnHEu7TT\nqQcDT8/ncMkNZq6YyWDfZv8PODMDxCQ1noGIvx/678zsWBLP3j1jdFyEDCt62c5+luCooCWdTlst\nfTqM9PtsPQvAOSnlUf1G9//n3b+3yg733wsdjq0vWVhTmQFzX9ZtE9UyYmcXa42igN8vcN2OSQDA\nhNY9dykYDBj2DEykE16VkeMGgwG9bKdRA7GebcmXsJx3gg7l83jpoW1etuMj//gkSuX6Xg2VGejm\nDrzejOzhp6vG8Z3TWezb7C+zRs8AMcn0qH+jI+r3ciw9gkTcCZZffN22rgXOhAw6KhgA0LXMQDsk\nEgmkUilkMpnmBxMf/R4M7ABwqs7fTgGYa+MxfxuABPDJZgcKIbYLIW7WLwD2t/GcXcOTCRnMDGyb\nrAYDerMfHb2S0HU7HDuGnp2oyQz4qgmZ+Rhe6dbAP3HJXDBgq7uvLlnQ51QFNOPpBN54yy4AwMnL\na/hig74NXmagi/X89czAg08veNevCAkGmBkgJqntMxDtc59NjuA/vfI6vPyG7Xj7HVfbGBohQ4ke\nDNhuONYJiUQCmUymbzMX/Ux/vqNVsgDCdSlAHkBL4Z8Q4i0A3gjgD6WUD0a4yy8CuC9w+ctWnrOb\nSCmtZAa2a8HA2aU6wYBrHp7MJLDTlexMZKqLwGC9fNOeAcBpIAQ4ZS7LbgWgZqyXyvi3f/UAfu7j\n3/Np7xU+Pb6F0qIAcEbLtugSiDfftgdJN2vyp3c/CSnDX5OXGejiolsvOfr9k3pmIIN9WwLBAPsM\nEIPUyoSify/feMsu/MlP3Ywt43abJhEyTKhSnfF43HrDsU5IpVLYtm0bNm/e3OuhDBz9HgzkANSW\nJ3FIAwjXrIQghHgNnKpCXwTwjoh3+zCAZwYur4/6nN1mZb3kLYJNNRwDnF1gVV7ybEhmQEqJR13z\n8KG5Cc+47JcJ+Rfa60WzMiEA2OUGA4VypW7QEuRvHjiFzz94Gl87ch7f/EGtcsxWZkAPBk4vaMGA\ntuO+eTyF1z5zJwDgyNll3P14uLJNmZxNNxxrxMxYdZwXV6rx+hUz2RrPQDfHRYafmqZjhjKLhJBw\nVBfiQTDm7tq1C5OTk70exsDR77+ip1FfCjSH+hIiH0KIF8ORBX0bwGullJFqT0opz0gp79cvAI5E\nuW8v0HsMmJQJCSGwddKJycJkQmcW817zqUM7ql/CiagyIVOZAa0O/vFLq5Hu85n7qx+hCyu1SShr\nmQHtsU6HyIQUb3nBXihp85/e/WToY6k+A93cgR9Nxr2shSKbjGM6m8COyYxvgcbMADHJRDoBXe4f\nVSZECGmfVCqFVCrVt34B0hn9HgzcB2CrEGKPfqP7/y3u3xsihLgdwN8AeBjAK6WUkbMJg4YvGDCY\nGQCA7ROO9CcsM6CyAgBw3Vw1GNA9A0EDccGCZ0BlBoBovoGTl3O452i1jv/8am0JT91AbNKg6/MM\n1MkMAMCuTaN4+Q2O5/2eo5dx3/HavgO9yAwIIXwmYsDxCwghEIsJ7J2tSoUYDBCTxGLCJ4M09ftB\nCKkP9fjDTb//in4Kjtn37YHb3+7e/ikAEEIkhBD7hRDb9YOEEM8F8AUATwK4S0q5hCFGNRwDgEmD\nngGgaiI+u5Sv0a4rvwBQNQ8DrWQGDAUDm6rylBMRKgp95v6nff9X5T111op2+gz4ZUJ6ZqD2fXvr\n7Xu96//928dq/t4LzwDgNxED8LwiAHy+AdNdkQnRNzuYGSDEPolEAul0msHAkNLXW3ZSygeFEB8B\n8KtCiHE4Mp/bALwZwIe1PgJzAA4D+HMAbwIAIcQuAH8Hx1vw5wBeFmjCdU5K+ZVuvI5uYUsmBFRN\nxIVSBfO5om8h+KhbSWg0GccebUE+nhqBEICUYQbi6iI7KDdply3jKSRHYiiUKk3Li0op8dn7/Sqz\nhZBgYFXrZmy2A3H1NZ9fri8TApxSrdfPTeLhU4teYzdFoVRBsSyNjy8KwWDgCi0zo/sGsqwmRAzj\nBM2OFLAVAzEhpD1SqRTS6TRSqXo2TjLIDMJZ+lcAnIDTMfj1cHwCvw3g/U3utwfAtHv9/w75+zcB\nDFcwoO2+h+0wd8LWCb286JpvIah6DBzcMYGYJuaNxQTGUyNYypdqDcRaZkCZkzslFhO4ciaLJ86v\nNJUJ3Xt8viZ7MJ+rlQnpBmKTMhzdM6AKH8WE33Sts2/zKB4+tYgTl3MolSsYcedM9zR0OzMQlAnp\nmYHn7ZvFB7/6QyTiAvu2tNZFkpBmqKA5JuD1DiCE2GPLli3IZDItdwUmg0HfBwOu2ff33Uu9Y47B\n6Uis33Z38LZhZ1Hb2TbuGdDLiy7mvcZiF1fWvco91+2odfBPZBJYypfqdiAeiQlvYWuCXW4w0MxA\n/Jn7qhKhsdQIVtZLoZkBtdgWwuwOZCZE2jCVTfqCKR0lgSpVJE4v5D2z9KovWOm2TMi/Q7RzupoZ\neM6eGXzqLbdgIpNgGUdinIM7JvHVw+dx9ZZxBDK+hBALxONxTE1N9XoYxBJ9HwyQ6Og725OGg4Ft\ndXoN6ObhQ3MhwUA6AWCtrkzIlF9AoRbJS/kSFnPF0HnIF8v44kNOE6/rdkxgNDWCe45ebpgZyCTi\ndRfq7RCmc24UwO2Zre7GHL20Wg0GdBlTl7X5m8bqZwYA4Ll7N3VzOGQD8bbb92Hf5lE8c9d084MJ\nIYQ0pN8NxKQFlGcg7spzTLJ9srrQ0ysK1TMPK1RFoXoG4pRh89+Vmm79+OXw7MCXHzuHZXcR/WM3\n7/QkB2EG4pxXqcfsfKZGYghuaM40kHbt1oKBYxerr+upCyve9R1T3W3B3sgzQIhNMsk4Xn3TnC8b\nRQghpD0YDAwRi241oclMwnjqfHYs6dX21nsNPHbGyQwk4zFcFeg8C1S7ENcrLWo6M7DL12ug1jeQ\nK5S8ev0jMYFX3bTD81cs50solSs1xwPmd92FEDVSoUZdo3drr+uYJoFSfg0gPBiziR4MjKdHfKVk\nCSGEEDIYMBgYIlRmwLRfAABG4jFP+31OkwkdcYOBq7eOIRGi/VcLxOX1EiqVaklSazKhmfrlRcsV\niV/9q+/jsDvml9+wHbNjKd8ifCEQtOQs1vAPBgMzo/Xft6ls0ntf9cyAquQ0nhrxZUW6gW4gvoI7\ntIQQQshAwmBgiFALWdNlRRXKN6AyA/liGUfdhen+beG70qo6jpTwpDmAJhMyXBZw53TGk98EKwr9\n3hcP46uHz7njHcf7XnMIgL+cZ9BEbDMYCPoGmlWAUibiY9rresT1bBwIVHLqBnpmIOgXIIQQQshg\nwGBgiKhmBuw0BVEVhZRn4PFzy15ZzAPbx0PvU68LsaomZKrHgCKdiGObWwZV9wz8+XeO4WPfPgoA\n2Dyewp+96dkYdwMVfREeNBHn3ADGRhfdTDK6TAgA9rhSoZNuedHzS3lcWF4HABwKqeRkm83jKcTd\nAGTPZpabI4QQQgYRBgNDgpTS29W2lRlQvQZW1ktYzhdx5Myy97cD2+tkBup0IbYlEwKqJmKVGXj0\n9CLe+/lHATjSnI/9zLMxp5ltdVnV/GogM1CsVhMyjd54DGgsEwKqJuJSReLUwpqvklO3/QIAMJ5O\n4LdfdgB3HtyKn7l1d9efnxBCCCGdw9KiQ8JqoYySu01vuqyoQu81cG4pj8Nnq4vR/dvCMwPKQAz4\nuxBXqwmZDwZ2bcriu0cv48xSHuulMj70jSe9DMYHf/ImXL/Tv4s+rcldFmoyA04wYCUz0IKBGAB2\na92dj15c9fwCQHhZ127ws8/fg599/p6ePDchhBBCOoeZgSFB17pPZezIhPReA2cW854Rd/N4CpvG\nwluU+2VCVc/Act65nkmYX2Qrbb2UwLefuIi/e8TpKXDL3hncdd22muN1z4BeXrRYrqDgVhcKSnpM\nEPQMBEt1BtHLix6/lPMqCaVGYthHmQ4hhBBC2oDBwJCg72hPN5GbtIvea+DMYh5HzjoyoXpZAaBq\nIAaqnoHV9WpH4h1T5rvT6lV1/s/PP+ZlBd56+77Q46fqeAZyWnff0S5UE5puktHZE8wMnHEyA/u3\nTxjt4kwIIYSQjQNXEEOCrse3Ve9dGXMB4MGTC14AUs8vEByLkgmdXljzbrPRKEsPBlTlnQPbJ3D7\nNZtDj9c9FnqGZU0LBjKGm445j9maTGgym/D8DQ89vYCTl5157IVfgBBCCCHDAYOBIUHPDNiqJrRl\noioFuvsHF7zrDTMDIQbiU1owMGchGNAbjyne9sJ9dRuxjcRjGE87i319HlcLVVlTNzIDUYzfyjdw\n/4kF77ZeVBIihBBCyHDAYGBA+YOvPI6bf/cr+PyDpwH4te62qgmlE3Gv0ZS+oI+cGQgJBmxkBqay\nSUykqzv5V8xk8LJDtV4BHVVedL5OZsB2n4GJ9Egkqc+e2VpvADMDhBBCCGkXBgMDyBceOo0/+toP\ncXm1gP/vn54C4JcJ2ehArNBNxAAwEhPYt3ms7vGpkRiS7iJ3yTUN6zIhW82qdmn6+re8YF/ThbbS\n6/syA1qTtKxlmVAz87AimPWIxwSubZCZIYQQQghpBIOBAePp+Rze9dmHvf8/fm4Z5YrsSjUhwO8b\nAICrtow1bBwmhPDKi6qA5fSC07QsERfYXKcKUaeo3fLN4ym89pk7mx4/FZIZUD0GADuZAV0mFFXa\nFcwMXL1lrKYqESGEEEJIVNhnYIAolSt4+ye/75XlBIB8sYLjl1a9He2YgKd/t0EwM9DIL6CYyCRw\ncaVQlQnNr3mPFYuF6/g75TfvuhZXzGTxr/dvibRY1jMDUkoIIbweAwCQtdBnQG861qySkELvNQAA\n19EvQAghhJAOYDAwQPzx15/AvcfnAQCzYylcXFkHABw5u4wFd6E9mUlYW2AD/sZjgFPWshmqvGjQ\nQGzDPKyYHUvhl190VeTj1c58oVxBrlDGaGoEuYIuE7KbGZiOKBOqDQboFyCEEEJI+1AmNCDcc/Qy\n/vjrPwTgLHQ//Mabvb8dObOERTczYKuSkGJrQCbUyDysUCbipXwRpXIFZ5ccmZAN83C7TPt6DThS\noVwXDcTTEd+3yWzCl0XoVedhQgghhAwHDAYGhE/fd9JrnvVff+JGPOOKaW+BevjssreAtdVjQKE3\nHgOAAxFlQoDTgfj88jrK7guxmRloFd10rSRXK100EEeVCQH+TsQHttM8TAghhJD2oUxoQPi/fvQG\nXL1lHJdzBa951rXbxvHAiQUcObuEfLECwG4lIcDvGZgZTWLzeHMD8KRrIF4rlnHs4qp3e78GAyqw\nOuqONSZqjdMmaEcmBAC37ZvFAycW8Nw9MxhP232/CSGEEDLcMBgYEGIxgV94wV7fbfu3TeCBE04n\n2rjrE4gqN2kXPRjYv228biMvnQltwXr47LJ3vX9lQk5m4LHTSwCcCj7BbsEmmNPKqob1D6jH2++4\nGs+/ehYH6RcghBBCSIcwGBhgdImIkt7YlgmNpUZw3Y4JPHp6CS+6dkuk++hdiA+fWfKuz1nqMdAO\nejCwkCugUKrgifMrAKL5Itph/7YJfOC1N2KtUMKtezdFvt9IPIZbWjieEEIIIaQeDAYGmP3bahep\ntmVCAPCJX7gFj59bxs1XTkc6frJOMLBjsn+CAZ9MaLWIJy+soFB2pFc2d+B/PEIPBEIIIYQQWzAY\nGGDCOs9OWc4MAM7i/tm7ZyIfr8uEfnjO2W2fGU1akd60i67Zn88VPIkQABy0lBkghBBCCOk1rCY0\nwExmEjUmXNulRdtBzwyo3fZ+Mg8DwGgyjkTc8T8s5Aq+DAaDAUIIIYQMKwwGBpxgB+DJLsiEWmUi\nU5uA2jFlvjpPJwghvEBqPlfEY24wMDsWrWISIYQQQsggwmBgwNkfqDNvu5pQO4SZmvupkpBC1fpf\nyBW8YODA9olIFZMIIYQQQgYRegYGnKCJuBuegVaZCKmF328yIaAqsfrh+RWv+zAlQoQQQggZZpgZ\nGHCCHWi7UU2oVcbTtTFnPwYDKjOgAgHAbiUhQgghhJBew2BgwNm9aRTJEedtFAJ92ZF2JB7DWMof\nEPRTjwFFmMTKVo8BQgghhJB+gMHAgDMSj+GarWMAHDmO6kTcb0wEsgP96BkIVmJKjsSwt4XOwIQQ\nQgghgwaDgSHgFTfsAAC88NrNPR5JffQuxKmRGDaN9p/ReTogsdq/bRwjcX5FCCGEEDK80EA8BLz1\n9n141Y07sG2iv8p16ujBwNxUpi8r9ARlQgdCOjwTQgghhAwTDAaGhH6U3ejo5UX7daxB8zXNw4QQ\nQggZdqiBIF1BLy/abw3HFNMB6RLNw4QQQggZdhgMkK4w6ZMJZXs4kvrUeAYCZVsJIYQQQoYNBgOk\nK0xkqoq0fs0M6NWErpzJhjZLI4QQQggZJhgMkK6gL6z7sccA4HRvVr7mYDM3QgghhJBhhMEA6QrP\nv3oWyZEYtk6kcOPOqV4PJ5SReAw/fcsuTGcTeOMtu3s9HEIIIYQQ67CaEOkK12wdx3ff9W+QScaR\nTsR7PZy6vPfVh/CeV13Xl6VPCSGEEEJMw2CAdI1gtZ5+hYEAIYQQQjYKlAkRQgghhBCyQWEwQAgh\nhBBCyAaFwQAhhBBCCCEbFAYDhBBCCCGEbFAYDBBCCCGEELJBYTBACCGEEELIBoXBACGEEEIIIRsU\nBgOEEEIIIYRsUBgMEEIIIYQQskFhMEAIIYQQQsgGhcEAIYQQQgghGxQGA4QQQgghhGxQGAwQQggh\nhBCyQWEwQAghhBBCyAaFwQAhhBBCCCEbFAYDhBBCCCGEbFAYDBBCCCGEELJBGen1AAaQNAAcPny4\n1+MghBBCCCEbGG09mm73MYSU0sxoNghCiJ/Fz8IGAAAI8ElEQVQC8Je9HgchhBBCCCEur5dSfqKd\nOzIYaBEhxCYAdwE4BiDf5affDycQeT2AI11+7mGDc2kGzqM5OJfm4FyagfNoDs6lGTiPtaQB7Abw\nD1LKS+08AGVCLeJOdFuRV6cIIdTVI1LK+3sxhmGBc2kGzqM5OJfm4FyagfNoDs6lGTiPdflOJ3em\ngZgQQgghhJANCoMBQgghhBBCNigMBgghhBBCCNmgMBgYLM4AeK/7L+kMzqUZOI/m4Fyag3NpBs6j\nOTiXZuA8WoDVhAghhBBCCNmgMDNACCGEEELIBoXBACGEEEIIIRsUBgOEEEIIIYRsUBgMEEIIIYQQ\nskFhMEAIIYQQQsgGhcEAIYQQQgghGxQGAxYRQjxLCPFBIcRDQohlIcRZIcTXhBB3hBwbF0K8Uwjx\nhBBi3f33nUKIeLvHtvL8/U6v5zLkfv9aCCHdy1UmX6tN+mUehRDbhBB/IoQ47h5/RgjxeSHElTZe\ntw36YS6FEHNCiI8IIZ4SQqwJIY4JIf5CCHGNrddtAxtzKYQYE0K8x/1cnXG/qx9vMIa2fgv6iV7P\nYyvP3+/0ei5DnmMgzzlA/8ylGILzjjWklLxYugD4NIALAP5fAG8B8OsAHgYgAbwtcOyH3Ns/BuDn\nAfx39/9/EvK4kY5t5fn7/dLruQzcJwHgMIAV99irej0/gzSPAK6G0zDmGIB3A/hZAO9wx3Zjr+do\nUOYSwAyA0wAuAXgfgJ8D8J8BLACYB7Cz13PUy7kEsNu9/TSAz7vXP95gDC3/FvTbpdfz2Mrz9/ul\n13MZuN/AnnP6ZS4xJOcda+9RrwcwzBcAtwFIBW7LAPgBgMsARtzbrgdQAfCHgWP/0L39eu22Vo6N\n9PyDcOn1XAb+/i4A5wD8t0H7Ye71PAIQAO4B8ACA8V7Px4DP5dvcz98rA8f+mHv723s9Rz2eyxSA\nOff6CBovYtv6Lei3Sx/MI885huYy8FgDe87ph7nEEJ13bF0oE7KIlPLbUsr1wG1rAL4AYBrANvfm\nn4TzYf1g4CE+6N7+Ou22yMe28Px9T6/nUuGmE38HwDsBLLbzWnpJH8zjiwA8G8B/klIuCyHSQohk\n+6+od/TBXE66/54JHHva/TcX6YX0ATbmUkq5LqU8FXEILf8W9CO9nkeec3x0+pkEMPjnHKAv5nJo\nzju2YDDQG3YAKMFJ5wPAswCck1Ie1Q9y/3/e/TvaODbq8w8y3Z7LP4ST3vy4icH3Ed2ax5e4/y4I\nIf4RwBqAvBDin4UQt5p6MT2mW3P5dfffPxZC3Ob6B24H8P8AeBzAJw29nl7SyVy2gq3H7Re6NY9R\nn3+Q6fZcDus5B+jeXG6E805HMBjoMkKIAwB+FMDnpJQr7s07ANSLcE8BmNP+38qxUZ9/IOn2XAoh\nXg7gVQB+RUon9zgMdHkelbH1M3B07a8D8MsArgTwdSHE9S2/gD6im3MppbwHwC8BuBbAtwA8DeBu\nOLri50kpl9p7Ff2BgblsBVuP23O6PI9Rn38g6fZcDus5B+j6XA71eccEI70ewEZCCDEJ58O4BsdA\no8gCWK5ztzyAiTaPjfr8A0e351IIkQbwRwA+JqW8t81h9x09+EyOuf8+JqV8tTaObwB4BMB/BPAT\nUcffT/To+/00gO8C+AqAJ+Bobt8B4G+FEHdJKVdbeQ39gqG5bAVbj9tTejCPUZ9/4Oj2XA7rOQfo\nyedyaM87pmAw0CWEEBk4jve9AF4qpTyu/TkHxwwTRhrOF6adY6M+/0DRo7l8Fxxt47vaGXM/0qN5\nVNf/h36QlPKIEOK7AG6PNvr+ohdzKYR4NZxKGDdLKR92b/6cEOJ7AP4Bzs7X+1t8KT3H4Fy2gq3H\n7Rk9mseozz9Q9Gguh+6cA/RsLofyvGMSyoS6gGtU+V8AbgXwOinlNwKHnEb99Ncc/GmzVo6N+vwD\nQy/mUgixHcB/APBhAGNCiN1CiN0AptSxg1anuIefSXX9XMixZ+Cc/AaKHs7l2wH8UAsEAABSyi/D\n2V17QaQX0EcYnstWsPW4PaGH8xj1+QeGXszlMJ5zgJ5+LofuvGMaBgOWEUKMAPhrAHcCeJOU8m9D\nDrsPwFYhxJ7AffcA2OL+vZ1joz7/QNDDudwKZ7finQCOapd/5/79bgCPtf3CukyPP5Pfc//dGfKc\nV8AxiQ0MPZ7LHQDCGpEJ9/aByvxamMtWsPW4XafH88hzTvW+nczlUJ1zgJ5/LofqvGOFejVHeen8\nAifY+iSc+re/2OC4G9G4tu4NbR4b6fkH4dLLuYRTwvE1IRc1nrcCeEWv56jf59G9bRbAKoB7odUc\nh1P2rQLgo72eowGay791b7s1cOyPu2N6X6/nqJdzGfh7szrkbT1uv136YB55zjEwlxiic06v59L9\n+9Ccd2xdBmrnaAD5ABzX+j8CWBVCvCHw969IKc9JKR8UQnwEwK8KIcYBfBtOk443A/iwlPIhdYdW\njo36/MZerV16NpdSykUAfxMckBDiJvfqV6WUT5h8sRbp6WdSSnlRCPFbcOpGf1MI8Uk4P9T/DsBF\nAO+187Kt0Ovv938B8FIAXxZCfAjAk3AMxG8BcBZOidFBwfhcAoAQ4lfgSCtUFvwGIcTvuNc/p33H\nW3rcPqan8xj1+Tt/mV2hZ3M5ZOccoPff72E679ih19HIMF/gpPJkg8sLtWNHAPwWgKcArLv//hZC\nOjZGPbaV5+/3S6/nss6Y3oMB6wbZL/MI4A0A7odTIeIygE8B2Nvr+Rm0uQRwAxwT8TEABThBwP8A\nsKvX89Mnc3mswWO+qZPPcD9eej2PrTx/v196PZd1xvQeDNg5p5/mEkNw3rF1Ee4EEUIIIYQQQjYY\nNBATQgghhBCyQWEwQAghhBBCyAaFwQAhhBBCCCEbFAYDhBBCCCGEbFAYDBBCCCGEELJBYTBACCGE\nEELIBoXBACGEEEIIIRsUBgOEEEIIIYRsUBgMEEIIIYQQskFhMEAIIYQQQsgGhcEAIYQQQgghGxQG\nA4QQQgghhGxQGAwQQgghhBCyQWEwQAghhBBCyAaFwQAhhBBCCCEblP8N7RyktuzcOnAAAAAASUVO\nRK5CYII=\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# best hyperparameters from grid search\n",
"best_monthly_order = (1,1,1)\n",
"best_monthly_seas_order = (0,1,1,12)\n",
"\n",
"# fit SARIMA model\n",
"model_m = SARIMAX(train, order=best_monthly_order, seasonal_order=best_monthly_seas_order).fit()\n",
"\n",
"# get forecast and confidence interval for forecast\n",
"forecast = model_m.get_forecast(steps=len(validate))\n",
"pred = pd.Series(forecast.predicted_mean, index=validate.index)\n",
"ci = forecast.conf_int(alpha=0.05)\n",
"\n",
"# plotting\n",
"plt.plot(monthly_norm[:'2016'], label='Observed')\n",
"plt.plot(pred, label='Forecast', ls='--')\n",
"plt.fill_between(ci.index, ci.iloc[:,0], ci.iloc[:,1],\n",
" color='k', alpha=0.2, label='95% Conf Int')\n",
"plt.ylabel('Normalized Electricity Demand')\n",
"plt.legend();"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"After fitting a final monthly averages model, a few insights can be drawn about the dataset. First, a clear upward trend is seen in the electricity demand. This is not surprising, as the population of Austin and the surrounding Central Texas region has grown significantly during this time period [[source](https://www.bizjournals.com/austin/news/2018/03/22/austins-population-keeps-popping-heres-how-many.html)]. Second, a clear yearly seasonality is seen which peaks in summer and bottoms out in winter, while also showing a smaller local peak each winter. The peak electricity consumption in summer is expected (air-conditioning in hot Texas summers), but the small peak each winter is interesting. A closer inspection of the data shows this occurs annualy around the Christmas and New Years holidays. This either suggests holiday celebrations are consuming more electricity than normal, or that this also corresponds with the coldest time of year and extra electricity is being consumed for heating purposes. "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\n",
"### Hourly Residuals Model: Regression"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"As mentioned previously, the hourly residuals are extracted from the original timeseries data by simply subtracting the monthly average. Below is a plot of the these hourly residuals, which will now be easier model with the trend and seasonality removed."
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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Xoz+ITIU9EUReWLx4MRYvXqx1GERERESaYk8EERGRiuoa26/oTkRkdEwiiIiIVFTXaOt4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\n1vhiAAAAAElFTkSuQmCC\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"hourly_res_norm = df_norm.copy()\n",
"hourly_res_norm['load'] = df_norm['load'].groupby(pd.Grouper(freq='M')).transform(lambda x: x - x.mean())\n",
"plt.plot(hourly_res_norm['load'], label='Hourly Residuals')\n",
"plt.ylabel('Normalized Electricity Demand')\n",
"plt.legend();"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Three regression models are studied in order to find the most accurate forecasting model. Note that since this is still time series data, an ARIMA model could still be used. However, it was found to give poor forecasting predictions, and was much slower to train and had comprable results than linear regression. The three regression models studied in this project are linear regression, gradient boosting regression (GBR), and multi-layer perceptron (MLP) regression. The [scikit-learn](http://scikit-learn.org/stable/supervised_learning.html#supervised-learning) implementation of each of these models is used in this project. The following code block performs some setup for training these models."
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"# train-validate-test split\n",
"train = hourly_res_norm[:'2014']\n",
"validate = hourly_res_norm['2015':'2016']\n",
"test = hourly_res_norm['2017':]\n",
"\n",
"# setup training variables \n",
"exog_tr = train.iloc[:,1:].values\n",
"ar_tr = train['load'].shift().bfill().values[:,None]\n",
"X_tr = np.hstack([ar_tr, exog_tr])\n",
"y_tr = train['load'].values\n",
"\n",
"# setup validation variables\n",
"exog_val = validate.iloc[:,1:].values\n",
"y_val = validate['load'].values\n",
"\n",
"# setup testing variables\n",
"exog_te = test.iloc[:,1:].values\n",
"\n",
"# setup miscellaneous variables\n",
"yp_full = hourly_res_norm.loc[:'2016','load']\n",
"yp_val = hourly_res_norm.loc['2015':'2016','load']\n",
"yp_te = hourly_res_norm.loc['2017':,'load']\n",
"y_init_val = np.hstack([y_tr[-1], validate.iloc[167::168,0].values])\n",
"y_init_te = np.hstack([y_val[-1], test.iloc[167::168,0].values])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Several helper functions are defined for building, evaluating, and tuning the regression models. Like above, MAE is used during grid search to tune hyperparameters. Since the goal of this project is to make accurate one-week-out forecasts at hourly frequency, the metric for evaluating performance is to make a series of one-week-out forecasts for the entire validation/test set, and simply concatenate this weekly forecasts together. The reason for making is a series of weekly forecasts rather than a year long forecast is that forecasting errors snowball, and this would be an unreasonable standard to hold these predictions to. Helper functions for making a one-week-out forecast and also for stringing together a series of these forecasts are defined below, as well as some plotting functions."
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def compute_mae(y, yhat):\n",
" \"\"\"given predicted and observed values, computes mean absolute error\"\"\"\n",
" return np.mean(np.abs(yhat - y))\n",
"\n",
"def forecast(model, exog, y_init):\n",
" \"\"\"given a trained model, exogenous features, and initial AR term, makes forecasting predictions\"\"\"\n",
" yhat = []\n",
" Xi_te = np.hstack([y_init, exog[0]])[None,:]\n",
" for i in range(len(exog)-1):\n",
" yhat_i = model.predict(Xi_te)[0]\n",
" yhat.append(yhat_i)\n",
" Xi_te = np.hstack([yhat_i, exog[i+1]])[None,:]\n",
" yhat.append(model.predict(Xi_te)[0])\n",
" return np.array(yhat)\n",
"\n",
"def weekly_forecast(model, exog, y_init):\n",
" \"\"\"given a trained model exogenous features, and initial AR term, makes a series of 1-week-out forecasts\"\"\"\n",
" yhat = []\n",
" for i, yi in enumerate(y_init):\n",
" exog_i = exog[168*i:168*(i+1),:]\n",
" if exog_i.shape[0] < 1:\n",
" break\n",
" yhat.append(forecast(model, exog_i, yi))\n",
" return np.hstack(yhat)\n",
"\n",
"def plot_full(y, yhat, yhat_idx):\n",
" \"\"\"plots observed and forecasted values for the full date range\"\"\"\n",
" pred = pd.Series(yhat, index=yhat_idx)\n",
" plt.figure()\n",
" plt.plot(y, label='Observed')\n",
" plt.plot(pred, label='Forecast', ls='--')\n",
" plt.ylabel('Normalized Hourly Residual Electricity Demand')\n",
" plt.legend()\n",
" \n",
"def plot_week(y, yhat, yhat_idx):\n",
" \"\"\"plots observed and forecasted values for one week span\"\"\"\n",
" pred = pd.Series(yhat, index=yhat_idx)\n",
" fig = plt.figure();\n",
" plt.plot(y['2016-12-01':'2016-12-07'], label='Observed')\n",
" plt.plot(pred['2016-12-01':'2016-12-07'], label='Forecast', ls='--')\n",
" plt.ylabel('Normalized Hourly Residual Electricity Demand')\n",
" plt.legend()\n",
" fig.autofmt_xdate()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\n",
"#### Baseline"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"All models need a baseline against which to compare, and for timeseries models the conventional baseline is the persistance model. Essentially, the last observed value is used as the next predicted value. In the case of this project making one-week-out forecasts, the last observed value of the previous week is used as the predicted value for all hourly residuals for following week."
]
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"MAE: 0.119884364075\n"
]
},
{
"data": {
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fqQiKoSRCKfUU8C1QBOwGDuB5yl/265DBGIPxE6DxtJSU9b/i5T8BKKXqKKXa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\nEGs+tVeSVe8P7AccBzyf5Y8hI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"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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dd/Lcc8/xyCOPkJ6ezrRp0/jd737H5ZdfTmZm+GJpy5cv5/rrr+fmm29Ga80ZZ5zB3Xff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\n+/a5O9rGNF2ME/GMf54JfIMw6PZnwE7gicAjCAPs/itx8SGRU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"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# get forecast \"predictions\" from the baseline persistance model\n",
"idx = validate.index[::168]\n",
"idx = idx.append(pd.DatetimeIndex(['2016-12-31 23']))\n",
"pred = pd.Series(np.hstack([y_init_val, yp_val.iloc[-1]]), index=idx)\n",
"pred = pred.resample('H').ffill().values\n",
"\n",
"# compute error, and plot on both long and short time scales\n",
"print('MAE:', compute_mae(y_val, pred))\n",
"plot_full(yp_full, pred, yp_val.index)\n",
"plot_week(yp_full, pred, yp_val.index)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\n",
"#### Linear Regression"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Perhaps the simplest regression model is linear regression, so this was the first attempted model for the hourly residuals. Simple linear regression (i.e. without regularization) has no hyperparameters. Below are the results of training the linear regression model."
]
},
{
"cell_type": "code",
"execution_count": 32,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"MAE: 0.0807701371137\n"
]
},
{
"data": {
"image/png": 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xzPyNioAYakQopZ4BvgPygb3AIdx3+Uv/HDEYYyB+BjTunpLS/lu4/GcApVQt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\n4z43IrTWPFo4gX7n0dRghGYKuxb1K++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85M9+RVkySU9UZ075/Mvd5+ohId3bKVaEmhVH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\nI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dSSpMJddeQ8vnXP0/zhZmuX3ZSBNzR+LF/504+U3Yza+/KCOdzy4POc2sY9E6q2iDCB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\nSYQkSZKkXEwiJEmSJOViEiFJkiQpl/8DLKXizUw0dpIAAAAASUVORK5CYII=\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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3TbBorYWfTYH7Toc10ohREJKCg3shd7wZzzjJ3Lfuh4c/AV3NsbNLEIYiNR0WXgof/gUs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8vR/rkEYBYcXo9gXp0/fcxzLPKOmVNAJ7w3fINPR97Lr9d14o0nkVIWxHlnwmmHo4wyOA7BxAA1\nkS7mCXXN0TUXbmA8pmk4LEyKj2qtSf28tXskrwXHoFZw1LvU4Vi9sIHffeTM1P9P+vc/MTAey7Bg\ndgNjEbU/R3Ql3Uwkx4W2le21NFT6GRiP8dT2XnjtoVa6z+9Jz1WyCcvtQNdw3PbMbp7ZkdaSXP+a\nowqzQOIinC4BLp7isQy4CLgfeA7Ig9XHjFgDdEspM/xMjf/3GK9Ph+OAAPDUFK89DQSNbaxue0TC\nukuVuuC2ZhQcua1GuIl+zZtf/1JXB31csEJZtz6zsz9lfzotakowbbzIE4f9Br93KjqViZDfy5IW\nJbTfmGvBoRemRaRV6efEPP+YKoCgbCZpo0EVjtec6M2LhWg+YFKqFjRW4h/rViFv4HqOgSsIVFJf\npRZWEknJSKQwK5fjKQ2HzYJD/04V0TnQFoxrQ42YoIqJGXMVrCIctUepWtaWNhPZ2jOqrs17nkl3\naV1EPjocgBrnw1+C336YKz0qA2ki5u45bYbt1oScFBxaxzbHOYXHI1JdjnV7BqcsVNftVouTTVUB\nVx2qIDNEcN2eQe5+fl/qUUhLbbfgVDS+e4rHDinlQ1LKNwETwPvdGaolzAGms6rZD2S788/Rtpvq\nvWjvt7LttBBCdAghTtYfHCaBiWELSeOgOKEAjyaP5+/z3gMnXVmUHA6z4PB7BTWTVlXedLz6s0up\nhOVZYU4yS8A5KYWhfemfC0zzGQnHUq3heVMIxnWs7FB/9+0HR3NzlZl7Mqx5rwonqzy09V0o6KF/\nbfSmXygDShVApFJNJuvEGMNDM6fslgJ29amCY1FTZWZwmou2om6iXpvwDY4VZuKQsha1S0sZMTpe\nlc3gKzGb75mg0XLbRX8GBcoNTNgMpjuqVS84RmDTH+Anr4P/XgFd610d45AeTueSSxWgqKvP3gIv\n3sapBnHEzQ5HPJFM7a/WUcFhvcMBcPpSReeNJyXP7crM04olkqw3kshPXtjgeqeyrTbEpavn4fMI\nPIKMRzki3/Y0vwY+B3wiz58zGZXAyDSvhYFsM1izRJ2KhGjOJCpsbJsNH0CJzQ87WEkah7RL1SPJ\nk5jTtIA1bylOg6jPKDgaqwKHXEQuWNGaovu8vH8GQbN5owsPQXQMAnkWpOaC4eIVHGbCOGQm7U6F\nlR01/GE9xBKSbT2jM9Ne5q9VjyLD1HB4BNTFD6ZfKBNKlaydC8aw+zp3UFfvbmaB2xgYi6ZW+xY1\nV8HQhvSLJVrkmaF0HpIMTkRZQP6pESlbXLsdDlNwW93m0ogKCK372SYGXKdU6foYK5POmpCfjroQ\nnUNhtnaPQoWeMu5e6B+kOxwBryenxT9LqO2Ag0O0GtpLN0X5o1oHsCbkoDNjo8MBaeE4wJPbejMs\ntzceGCZiLIa5rd8w8c23n8A3335CXvZdaORbVVlH9sl9vjAOTEeGDKE6L9neyzTvN2dIEza2zYab\ngdWTHlfk8L6Sh97hyGVlLejzpvilM9KV8oj+MTVpbKw69E9bEfDSYQSkmba500KfZJZAAjYAsTAE\njJW1Ak/I9g+mj9fc+uyTLLPDARZ0HCUAU8PRUhPEq6+qlQmlyt+Y7goMd+8q3kByxM6+tERuSXNV\npoOSy5M2VxCb4C1PXsJLwev4N9+tBbHGjcaTxJOKHmebUjXao/6tKcOCQ+twdNCfB9G4oY+x0T1a\nZnQ5tvaMps9dfxVUNmZ5l3WYBUddpd99zZBxn2tOqo6umx2OEU0sPZltYG1H2rXYQtG8pLkqRfV+\ncntmHscLedRvHI7IS8EhhKgTQrwN+BeUlqHQOMD0VKa5TE+3Mt9rbjfVe9Heb2XbaWHkmbygP4DN\nM72vHBCOW+twALQZtKoel50urKDfSBdvmsaP3+Rq7umboeAoEV1BBk77IHxmH3x6d8EF+TNlcOg4\npkwLjh499E/vJpVJwVHZnJ6kR/r2ZtmyNHCIQ5VOqSpFr3p/BZXjndSKcTpEf8rhJ5/QV5xt5XAk\nkzBmFBxl3+Hoz5strh0XJVM43j8WJd6/Wz1ZP991C21TNO6qfsOEcXzrk4N4SbhacJj6Dci0ibUM\nkxJY1QLe3PcjhOAMg1b1yoGhjADF5w2HKp9HcPy88kr9LgYcFRxCiKQQIjH5AfSj6FT9wD+5MVCL\neB5oE0IsnjTexUCr8fp0eBmIAqdP8dppxmuv2Nj2iIQppvN7Bd4ciYcLquO8w/tXFg08ldkGLRCk\nlBmUqqlgFhxdw+HsAkTd0ne4RAoOUDezivqCW8fut0Cpaq0Jpo7/pq4cC44D62DDPbDx97bH6BSm\nhqOtNgTL3wAXfgHWfgCqcrD2LQHUdSyhUzayLrmMg9E8TE5cxk6t4FjcXJXWKFW1gD8XRmvhEa9W\n14UO0VcQ8adV845DEBlWhYbHp/Jkyg0ZGo6BPHQ47Avyj9KE43LQKJbr3e/MDeWz4DA6HB6StDCY\n6vi4geEJnVLloMPxxm/C1ffBW2+y/FZTOC4lPL0z3eUwszlWzal1Ztl7hMCphuPfybS/xfj/ALAV\neEhK6e43OzfcCdwAfAz4Z+35j6HGdyeAEMIPLAWGpJSdAFLKUSHEvcAlQogbpZT7jG3nA5cA90op\nR61ue6TC7HDkkjJu4rhQH9f7b4EExF6pwX/6B/M1vCkxHk2keJnTFhxNaTrQvoGJVFv8EOir2qVU\ncBQJZgZHwOeheQq6mg4hBCs7anhiWx+bOkdysw+99xNw4AVoWQHHvNmtYeeMcCyRurG31QZhwRpY\ncFrBx+EETXOXcXT0f5AS3uGfx5uKPaAZYBYcAZ+HOXUVYE7aStGhykTdXBjcyhzRx18L0OHQNQu2\nKFUV9fCJjarTkSw/dxwCVSSCdXgjQ7SLfra63OEwV/Tt6GNM4XgFYfwRI38qD1RXc2W+Pi8Fh0ZZ\nE/10x5pcs3se0TocjjQc9QtsF3K6juOp7X1ctKqdrqFw6n52Up70G4cbHBUcUsovuDQOVyGlXC+E\n+CFwvRCiBngCOBO4BrhZSvmSselcVEDfz4GrtV18FrgQeEwIYSaTXw8kjNewue0RB1PDEbRQ/S8N\npVeze0UThTZg1C1xZ6JUAezpH5u+4KgpsQ6HlOpRpFA80xJ3bn0Fnhw6Xivba3liWx/9Y1F6RiKp\nnJZpUTtHFRxF0sv0aKF/JjWw3OD3emipDtIzEqFzqHg6qlxhOlQtbKxU59R7fq+KjqKsdeUGb/18\n2A0tYoiR0RlomS5gPINS5WAl1uMBT/6yIvKJ2MJzeGTTPtYlj8Lnti2uC5SqOULTB7hcLEsp89zh\nSC+stYkBZFKlc7ux6p+h4XDS4XCAeQ2VLGisZE//OPe/0snFJ8zJyFua1W/khuL89QqDfwL2ANeh\nBNj7gRuB/5zpjVLKV4UQZwNfB75kPP034NNSylftbnskIn0hzn2CO9+XtuLcl6greMHRpxUcjdVT\nFxwLtQ5HVh1HsBquuV8VHqXgUjR2EL61So3lzH+GNdcW9ONNl6qZ6FQmdOH4xs7h3AoOgMgQREbV\n8S8gukc0S9yZxlrC6KgL0TMSoavECw4pJTsPqoJjcbPhAFfTXpTsHivwNaRXsDdueZUbfq2uj0tb\nqrn6zEX4ve4uCFh1CzwcEfvHn/LeL6iciPfmScNhRzReV+mntSbI3DHdQtvdgmMsmkiZBtS5FPqX\ngRq9w6EKp4lowqWCQ+9wFG/KeuHKNn7yxE66hyNcctOTdNSlr+8nzxYcOcHSX08IcZWdD5FSFjpp\nHCllHPiq8Zhum12oRPKpXnsJeH2On5XztkcawjYuxG1a6N+OcC2nuD6q7DAdqiC3DsfumZyqFp7h\nyrhcwdA+SERhYBckC7sCHI0nUxPybCnjOiY7VZ2/fAb+uN5RGumE4FGWx+kE+gR9TkUUnviuKoLm\nrYGGRQUdixO014XYvO8g/qFdhKNnglAaLLcnwk5xcDTCmDF5TBUcZQChrQgnBvZyx3PpwnheQwWv\nP87dZRbHHQ4pXRcxFxr6PaiUNBygdBxzNG2A2/kxeQv9M2GczzFPkBDqs8ZjCdyYhusdjlq7lKqe\nTfDXr6r7w0lXQId1m9l/veho+sci/PZFxVQwu79ttUHm1JXv4lIhYbVc/NkUz5kajslXI13bUfCC\nYxalAdOf3MpKR0NCXXgTUvDqaOFFn32jWodjGp1BXYWfmpCPkXCcvTMVHKWEIob+dQ2FMYOrZ7LE\nNbGstRq/VxBLSDZ1ThetoyHDhvgANBe24NDb7POSB+Chf1P/ecM3Ye37CjoWJ7hi9OfcHFKX7eM/\nH2KYagI+D//2xpW8+/RFxR2chl296e/eojIqOHT3rA7Rl3G3NHnhbsJxwfHgjfDibUo4/v5HIJD/\n3BC34fN6CHg9RBPJvLlU2Q1VPKq1hoe3r+Lj0Q/x1QvqqWhy97o1mBH6l4eCo7IRPrWTnz03wE33\nK4NNt4TjIxEXCo6+bbDJMBJZcp6tgqMy4OPb7zyJq85YxBf/sJH1exUT49TFTe7bDB+msLpctXjS\n4zjgReAZ4HLgROPxLuBZYJ2xzSyOUERsUKoCY2oF4SD17BrIv6ByMnQNx3SicSFEilY1YxZHKWGo\neDat+kQqV0pVwOdhaYta/c3JGndywVFg6FbOzUltxbIU6HQWUNOQ7iS1Gx3HaDzJbc/sme4tRcHO\n3rQnx+LmKnj5V3Db25V5wOjBLO8sMmrTxf533tDK4586P/X/rK53NjERS0/aKvw2aCmjXRAehMHd\nJev8NSMScRb6BzlRbENMDMy8fY6IJZLEEqpiDNnscCxrrWavbOOe5Nm8suz9UNU085ssIKPDkQ9K\nlRBQ2UiFlpPhljXusDb2aruUKpuhf1Ph5AUN3POhM/jOO0/kPacv5JMXLXe0vyMJlgoOKeVu/QF8\nCBVsd7aU8k4p5UvG4w7gbFQC94fdH/YsygW2xHRDKrrkgGxitxbqVSjkIhoHLYujfxwpJ5u1adj2\nZ7jzSvjh+TCw27Vx2sKwFgtT8NC/3DM4dJh5HDsOjs48GSty7onZ4Qh4PVSFtZtcmWRwmDj2mJWp\nn9+90ku7oUdxm4riFDu1Dsfi5ipli7z1T/D3H4OnhLUKdXNhwelw7KXQdBRBbUEmH8d4IqoFsNqZ\nFI9qGRzlupq77SEe4oP8Nvh5Fo2+4Npu9WuS3Q7H0W01qZ+3dOfQybUIPTuivmL6e5pT6N0ztwoO\nk1JVFfDmbK1/6E70gsM5XdHjEbzlxLl88S3HMr+x/Lp9xYJTQu7bgTunsr41NBR3GtvM4ghF2LCX\nDeZqiytlalJ8QDaxd2CCZDLLZD4P6DUoVV6PyMp3XdCoKBzhWJKD2UIKR7ph0x+Ue9JgkVeIzVA0\nfxVUFFbodkAvOHLUcEBax5GUOdyMi5x7Ymo4WmuDCL3gKbOCw69xyN+9ys/ydjUhysfquxOYHY7K\ngJfWmmBmUnOBz29LCFTBtQ/ApT+GlW/KmKiazn5uwrEtrjlhK8fQPxPaRLM64l73Sy8QbWs4NJfD\nrd3uO+nrHQ5H4XkzQP3+EpCu0dbM4D9Hlrjm+Ss8Kp9nFkWB04KjGsjW+2sytpnFEYqUaDzXC/HE\nAMTUqmWnbCIaT6aC1AoFUzTeUOnPat2as3C8roSyOExKVd3cgq9U6n9HKw5Ok4XjWRGogpCR+FoE\na1yTUtVeG0p16vAGyib0L4VJ1DSTEpmPybATmBqORU1Vikdtnt95SGrOJ0IZBUc+OhwOV+FTHY4y\nDP0zoZ3TtbEe13arH1u7rkwNFT6+UvFL3uu9j+S+v7s1tBTyLhoHeO7HnPPg69kQvJYGRlzvcDhy\nqBox7gVVreA9nM1ZSxtOj/zTwEeFEPdIKdfrLwghTgQ+Cjzl8DNmUaaQUqYpVb4ca9tgDbz/Uf72\n/HrueVKt9OzuG2eOhRVxp+ifIWXcxGRr3FMWNU69YUb4376ptykUzElwgelUQKoLVFfht3RjXtmR\nphvkJBx/6w+UHW6BXaGklClKVVttKF1c1s4pq8kvYPCcBaA6jubfKxIvnQ5HMmEm5LoAACAASURB\nVClTGRwphyqzg1eE89sJ/F4PXo8gkZT5oVTptB+rq/CxCWUzDSVvN5wVlc3E8OEnTn28d+btc8SE\nC5QqRru4Qt4Lfvhp7zjwHncGZ2BQKzjq86HhAIhHqBzZCULpvsbdEo0bHQ5HnRmzw1HO5+9hAKcd\njo8DXuB5IcSDQojvGI8Hgb8b+/+E00HOojwRTSQx2VA5TzC9fphzIr5Vb2KjXARQcB1HX44FR2b4\nX5YOh15wDO2ffrt8Ix5R4k8oyoTMXP1vrbEWHNZUHUy9Z2MuwvEVb4DF59hOlbWL0Ug8tarXWhtM\nF5dlRqcC1PfQvDkPHyBkUCLDsWR2vVIB0TkcJmJQNhc3V6mJ8ZhBlSnllHET0XE4+Cpsexji0dRk\nNZIXSpUD2s9od/rncqZUeTwMehUho1E3dHCIjO6R3VBFzcxja6QhoyPhBgrS4dA6SO2i37XC2dUO\nhwv6jVnYh6OCw8ifOBn4FXAGqqPxUePnXwFrtFTvWRxh0OkXVlyqILN7MGPOhcswOxxN01jimuio\nC+EzKFdZC45AZZpPPlzMgiMMJ18FSy+AjhML/vG9RsHRYrHgAFJJ7qVsQdydkTIeSFO6yrHggPQE\nYvhAhqjZnOQXG7t60wsRi5qrMov5cuhwPP2/8L9r4Rf/CEN7NdpafilVoVz1dCZGNfpROVOqgCGf\nojY2uVlwuKDhSHXmUNrFbT3uCsdN0XhVwJu/LJ1JBYdrLlVONRzxCEz0q59nOxxFhWMym5RyB/BO\nIYQHMNU4B6WUpXFXmkXREHGQbttWEyLg8xCNJ7MnebuMcCyRulDO1OHweT3Mbahgd9/4zNa4tfOU\nPqWYBUeoDt78vaJ8tPz/7J13mCRVuf8/p3NP3Mkzm5fNpF0kw6IoGBCRpCDqNaGAcsUcEL1Xf2bg\nmr0qZhEVFQUliKSLrOQcFjaxYXZ3cs7T4fz+OFXd1bMz3ZW6p9P3efrZ3u5KU1NTdd7zfoOUCUqV\n1Q4HJDUfPSNTxOMyrbZmvmDM4FgWHIO4NqtYYJa4CdQshP1PwNB+QiuSf79TkXhepFXvMhQcKxor\nYGhb8sscd7dsIYVqmaStZYNSNW7IibD8t2N0+CnkDgcwEmiCKWiS/a6FGbqh4WAwWXDsk41s7xrl\n6GVzUHRtQO9wZK27AVkpOCKxeGLi0naHY7wfKhphvLfc4ZhnuKae0QqMrowLllEySO1wmLwRb/42\n9O3AU7eCpfXHsqN7lD39uaNU9ZnI4DBiaX0Fe/rG2ZOpKKpdBF3PzS+lah4xOB5hOqauBzsdjuYa\ntU40Lukfn6axKs02urbAU79VlKZTPgltR9o6ZqswFhy1jW3wkWfU77tQB2lrzoAFy6C6jfBIkkY1\nGY1RSxYHLiaRWnBUwdb5C7W0hRlUy5BfDdiy2eGwRfmpbILDzlOdjkIo5NJgLKDmRCvEFPGJQTwV\nzp3MXNFwGChVHbKBlzrd7XAMTqjnWm1F9ixxqWpBCg9Cxmmjn+0uaDiMKeO2C46aNvj0TohOQ9wd\nXUkZ9mDpNyiEeCWAlPJfxv9ngr58GaWFyaiNmZ9t/4S9D0LdcpY3vEoVHH0q5yIXaZ79hpTxhipz\nBQdA7+gU49NRKgJz/Enpsz8T/Yq7XYBJvU7QM5qkGzVXm3eomm2d7uGp9AXHSIeiqwCsOyuHBYeB\nUrWgEupaci5cdxVHvSPxNnDfjsT7bGgM7ECnVNWEfNRV+NWMdc1ilb9SCBoOY1E0vJ+QX/1/Igvn\nVw/+szUgXnaiehUBxkPJ4n9qYD9hNwoOpynukKBUDVPFGGHufrGL/z7rUFeeeVJK9g0oS/JGE880\n2/D61eTKSAdtoo9nXOhw6IJxcJAyrsMXALL485eREVZLxv8DpBAiLKWc1v+fZnnN5oT577+XkXOk\ntppN8kYTQtvFiZyLkckog+MR6kx0HJyibyw5aDTb4dDR3j+RyCs4CLWL1UxhzSKYGp6fgqPjWZAx\nNRjLsU1rt2EwbqvDYVine2SSQ6mZe+GUgVzuXMG6bNr+FgJSbFvzxKlql8GhSggBR79bvWIR8BSA\n9WWK9fB+g2g8C5Qq7V5se0BcJOisO4ard19Al6znc4EG3PA+nHRAHU5A63CMVyyESdg3MMHT7YMc\ntdR5QbR/cIJBTcNxaFua+6YLEDWLYKSDhaLPlRwOY4ejxolovIy8gNXf4PtQBYRedr7X3cMpo5iQ\nciM2I1SMx5JWorWLDhKO56Lg6LdBqdKxp29s7oJj08fhlE84Pj5HuOf/wY67FJ/10ztzuuue0eRg\n3I6GI7XgSBOyCPPmCqYXHJUBL1XB4no4Bg221vkQ/ielpGNQne/FM5N+vfNP9zIFfxgqGmC8T6NU\n6U5geUapKiIM1x/O/8bUff2j3tq0IWJmMeaGS5Wm4ahoXAaavvnWZztcKTheOJB09jt0YXYLDmoX\nwf7HlYZjyjl9adjQ4bAtGndJq1OGc1h6KkopfzXj/7929WjKKCpMRi1qOEa7kxzLmkUsbUgdzG9c\nssDtQzwIxoIjk0sVkHKMaYXj+XDDS4T+zYMlrsMOh7Fj0J0pCDJYpQTyk0M5FeknMjhqQ3D3F6F3\nOzSuhtO/mLNjcBWxCOx9CIb2s2i4Av1xkQ/hf8MT0QR3vq2Qu0k1i1TBMbyfYEX2ROMTBtG4Zex/\nUgVqVrcmQzULFMbnkFvnedip5ezUSCLnpLplOcv6lC7wtmc7uOqN6x0bZBgLjsMWZvn3t/AoHnvx\nZfbE6piKZJgYMoHhCRc0HLdcrqynFyyBi+/Kj2dxiSIr03BCCD9QJaUcyMb2yygMpLaaTVCqhlNt\nLZfVpwbr5QJ2ROM6MjpVzTeG5z/0D2xqOGosdDhAcfknh1LEmNmGruFoqQ7Brn8ph6fGNYVbcMg4\n/PosAA5Z/lbgXCA/OhwdwxOJ9621IYjHITqhBsaFhJpF0PksDO0jvCCZdeI2HFGq/vAOpYs55FR4\n1y2uHleuYdTYuUH5gZmz8DaGVMFquKoLhvcjvAHO8o3zg/t20Dk8yeN7BjhuhTO3qi0HVDET9nuT\nAZnZwqaP8emHj2JX7xjHRpwP7Efc6HAM7VP5Ux5fudiYZzgyZBZCvEUI8T8zPvssMAr0CiFuFULk\nLiK6jLzCpFX3jqFUl5nFdRXokzu5yuIwisbrTCSyVof8icLEVMERiyh73FxjckhpR2BeQ/8CPg81\nYesP5YqAL0FTMnZL5kStRqvKUYdDSkn3iJ4yHkzaXBaCeHku+IJKdwRUTiYNCPMhh6NjKNnlaq0N\nqQHF1xbCN1fAI9fN45FZhH6dTg5S7VHX9WQ05nq4om1KVTwOY1oOR1XhZxiEAx5O8zzBxd7bqXrh\nd65sU5+FD/k9BK1mnOjwh6BhJSxYwps2JK1bb332gOPj0zsc69uq8ebATlx/1rthi+uKS1U5ZTxv\n4DQB5uNAQn0qhNgIfBV4FPgl8AZgnonrZcwXjAVH0GrBUbOIgM9DW62qV3Pd4VhQ4cdnMiBpidbl\nyFhw/Ohk+HIT/OUSR8doC/MciqZ3OJqqgradV3Qdhz6wTwtdxzHepxKos4z+sWkiMTVIXFglkoO0\nQrBnTQdN2Bw2FBz50OHoNBQcbbWhZIE30V84Gg6AQ8+GM66GC28gFFDHLaW7RZ2U0kCpsjhom+hP\n0lwLPPQP1M//Sd8f+YL/tzRvvd6VbeodDscuShrWtlSzWgs6vf25DqIx+9dC/9h0ojjPOp1Kg95F\nc100bjdDpFxw5A2cFhxrgKcN/78AGABOl1K+H/gpcJHDfZRRoLCcNJ5CqVIDRl04nqssjn7NpcoM\nnUqHTv3a1z9BLJ5mZtLjBeT8ZHHMKOZyDb1IMFKjrEJft8tKhwOSRgRZhPGYVgQGk18sKOAOBySu\nleB4Mvwt3wqO1towDO5NfllIWRErXgnHXwrr34QvmKRnumk9PB2LJ+5LlilVo4ZorSIYsIUDXjql\noigFxt2JDdM1HLYHxDMghOBNR6pCv3d0mkd29dve1pYU/UaWBeMAUtLoHWO92EPj1N7My2fAiFO6\n2vR4Qh9TDNdvocNpwVEFGJ6unA78U0qpP30fBwro7l+Gm7BsFxibBm8QAlUQUgJxveDoGp7KyUBH\nF403mhCM69B1HNOxeIo16kHQB/o5tGpNYCiZZDsfNB9jh8MudO1Hz8hUZspJjdZZqGiAicH0y7oA\n4+99iacv+UUhU6og0eHwTQ8RRv2Mk3lAqdILDiG0ztfgnuSXhVRwGBAyOIG5KRx3lBNhLDgKNcDS\ngApDwRGc6lNhcA4xrM3C27Ztvf3T8NPT4C+XJj5yi1b1gqbfgBx1OGScHx64kDuCV/LOyJ8db07v\nHgkBVXNlXKXDSEfyfbngmHc4LTg6gFUAQogm4BXA/Ybva4BytGMh4Y7PwE9eBTdc4HhTlpPGz/wf\n+HwXfPS5hLhLz+KA3IiydUqVlQ5HahZHmmPUC47JIZgatXV8tjE8f5SqyUgs8VB21OHQKFXTsThD\nBmeYWXHYOXBVJ3z6ZVh8tO19mkWnoeBolT3JL4qk4ABoFUp7lI2cCKvo0M53U1UQv9czo6AuTBpb\nyFAMuDm5MuEkJ2LEWHAUA6XKSxcGq9nRzrkXNgnHHY7OZ2H/49D+SOKjlU1VicyMO57vJGKTVqXr\nN3wewZrWKnvHZwUeL0M+xbJvivc63pxOqaoK+Oy5daUUHAvnXq6MnMBpwXE7cLkQ4hPAr1DFxd8N\n3x8GOO+rlZE79LwEHU9DxzOON5WSNO4zeakJARVJV46ULI4s6zimo/HEDa7eQiJrk2EQbXS5Oggp\nNJ8c06p0SpXHl/OBg9GhqqnKvoVpijVuJqcqf1i9cgSjiLk+YhikFQmlCqBVKGpHPojGO4eULqet\nVrsmdEpVZXNOf++u4Kkb4P++weHdtyc+cjNccdy1DkfhzxCH/MkOBwDDHXMvbBKONRwJg4nUQlnv\ncgyOR7j9OXvHqXc4VjVX2Re0W8RIQD1fWul1pD+BZMFhWzBu/P3WtM29XBk5gdOC479QGo5rgNcA\nH5VSHgDQ3KnOB+51uI8ycokFy9S/o52OxbYpLlU2A5FmButlEwPjxgwO8wWHcdm+0TQD4RpjAnaO\nC47jL4M3f19ZtHpyG/5lLA7c0HAA6alr84AuQ8FROanNmgoPVBf4Q87Q4WhDUcXyQcOhF3itiYJD\nG7QVIp3q7i/C/32dVT3/SHzklmXrzG05KzgKv8OhKFWGDofD+/BUNJbo5Ntx3yMWVZbDcFA39Lyj\nFhPQJuquuXMrUxaL0PHpKC/3qmdmrgTjAKNBRb1rE/2MTzsjuOgaDtuWuCMGOlq5wzHvcFRwSCn7\npJSnAguAGinlj2cscirwZSf7KCPHqFuWfD/YPvdyJmApaVxK9ZqBXHY4+katZXDoaKgy2eEwDN5y\nLhxf9Ap4xbvgpA/ndr/M7HDYLziMgYGmrHF1xLM/I69TqhqrAniDFWqmvWZRYTkmzYZZOhzzXXCM\nTkUTM5+tNSF13xgq4IJD63xWpTiBuXfNGjsclilVesHhCxV86B9olCpjh2PEWYcjxUXJzqB4pEPl\n3cBB3dDW2hAXb1oBwL6BCX7z4J6Za6fFix0jiUdqTgTjGibCqhMWEhEmh3syLJ0e+vm1VcyBmkBd\neyYsPKrc4cgDuBL8J6UcnuWzCcA5L6eM3GKBseDYA01rbG9Kf2gGvJ7M/Ms9D8INb1Vt5Td8DVad\nDqiZjcaqIL2jU7zcm13dQ7/F0D8dqR2OPKVUzSN6DDa2zjQcFihVADdfDjvvhcoGuGyz7f2aQSJl\nvCaktEhn/o/KXCl01C6Gt/6a6cpWfvfj3cD8J40f5FA12g1R7bNCpLDVLIIDTxGeMDiBuUipMmo4\nKqwKb495Hyw5ASLjRRGaFj6ow+HMwc6YMm5Lw5FBe/TBU1dy42Pt9I9N8/17t/OWoxdTZ/LZtCVF\nMJ67gmOyIjmwj/S3Q4t9V8ThBKXK5sTNYeeoVxl5AaeUKoQQ9UKIrwohHhFC7BJCnKR93iiE+H9C\niEOdH2YZOUPd8uT7gd2ONqXPhAbNWOIO7YPIGPRuBZE6C6d7km/rym7B0TeWHMQ2WHCpCvm9VGpU\nBeM2DkL1QkB7aOcwAXu+kdLhqLZfcLSkpI2boFRNDKiW+mD2ZWR6hyOhKYDC726ACv877Bz8y45n\nSFQD89/hOCiDQ3jgpCvg0HNg0THzeGQ2oXWR/NFRqlBd3ElXKVXJWXjLlKrlm+D4S2DTR107nvlE\n0OdhUFQzJbW/TYcdjmGnHY4ZYbczURPy89HTVyf29f17d5je9AsGS9xDc1hwRCqTBUdswBlLYjhB\nqXJlbryMeYbTpPFFwJPAp4FqlAVuCEBK2QtcCFw65wbKyD/M7HA4gD4wMdXGH577xru6RRUcPSNT\nDI47tzGcC3YpVZCkVfWm63D4ArDhIjjuElh1mq1jtIUDT8OdV8FjP0uGIOUQejdCCGh0QKmqCvoS\nKbaW0saz7Ao2GYkxOK4ejEZhezFBCJGgRc63aDzFEaw2BFVN8LovwwW/hkPfPI9HZhO1s9DWsiQa\nt6ulKxYIIajw+7ho+iq+tPx6ePMPHG1vKKXDYWNQnNLhmJ0OeNFxSzmkUbk1Xv/wbnb3mtMy6gXH\nsoYK+x0CG4gadGvSAXV4KhpjWrvXlAuO4oDTDsfXUNa3RwOvJDF9m8AtQA5HVmU4RmUj+DXdxIDT\ngkPdLMKmUsYNN6YZwXR6hwNgR3f2Bo5GSlWDBZcq4/L96TQcAOf+CN54DRx2ruXjs419j8FDP4Db\nPjEvoYN6h6O+IqAsTG1CCJGgZFlKG4esUtiMAvaFVR6IWtCXFBD0TuX8dziSZhYpHaVCheE6XSiU\nMH9i2r2izkipMnUvLnKEA16elGvYSxsEKjKvkAYplCo7g3qjTrJ2duqR3+vhs2esAyASk3zkD09x\nx3Mdaf8OI7E4WztHgNzSqYCU61mM2L/vGvUxtgqmeBz2PqyYGkV6Ty40OC043gD8QEr5LDBbEtcu\noDBN0UsVQiS7HA47HBOJDoeFlPFw/UEPgdUt1Yn32aRVGQXfdRUWCw6NgpXWpWq+YKTGGSlzOYLe\n4XBCp9KhZ3GY0nAYO2VZpLAZKT6vmPg3fKUZrl0L7Y9mbZ85xfa74NaP8QP5TYJMz3vwn9GCuCg6\nSoYBWlsWhPm2XarG+uD+q+GJX0OveSpPvkPv8rgRrjhsSMKutaPhWLAEWo+EuhVp7Zxfe2gLx61Q\nYvdn9g3xwRue5Jiv3M0n/vgM+wcPdpPc0T3KtGZJm0uHKgBvdTPfi57D5yIX077wjba3k1pw2Ohw\njPfCL14P390A933N9nGU4R6c9qlqSZ+z4ddeZRQS2jaom1/rEY42Y4lSpQ8IZ5nlMXY4tnePODqm\ndOjX9BfVIV/CjtAsdOH4wHiEaCyOz8FMvuvQC45AVUrGSa7Q42bBoQ0wu4YnkVIi0glZc9ThMFJ8\nWuKaK8toJwRzPLOYLRx4Gh7/BZuAFjHAZGR+8xj0Aq+uwq/uLTvuVvkydStSXfYKBbUHdzjyglLV\nvxPu+6p6f9Z3oXGVa8c0n9C7POMu6GSGJwwaDjsFxymfUK8MEELwnQs38pmbnmXzjl6kVG5tNz25\nj4df7uOPl53IogXJguXp9sHE+1zqNwDCgQDfiqrg4GMrV9vezsikw+6R0RCgpmyJmw9wWnDsRoX7\nzYVNwDaH+ygj1zjvJ65sRud6Z7TEhWTBUXNwQ6yhKkhDZYC+semcUKqsZHDoMFKwBsYjcw+uJwah\n+0U1AF7xKsU/zwJGJiN8446XWNFYyft1alzd8pw7zcTjkt5R9zsck5E4I1PR9A8iY/GaRSqZkVKV\nEvpXoInXByEli6N/3ilVyQwObYB151UqsHThUXDJ/83bcdlGdRuKjSxpQetwuCgaTyk4rFCqjAO2\nIgj90xEO+DjBs4XLB++Fn0Xg7B9C01pb2xpOGRRnV2ewcEGY6y8+nq7hSW57toO/PLWP5/cPs39w\ngrf/9GH+eOmJtNSEuO3ZDr709xcAdbs/PMcdDmMXzUlR57jDkZIyXrbEzQc4nYa9EXi/EOI4w2cS\nQAjxblTw3+8c7qOMAoVpl6rpMZjUZmTmGKStSjhVZa/DoVOqrArGYWYWRxq6z8574JdvgJsuVonu\nWcJfn9rPDY/s5Su3bSHav0t9OA90qv7xaaJxxbY02traRYo1bibheGIgR6opgcvoHEoeR+Wk9pAL\n10Gwao41CgyGgqNV9OWNaLytVsvg0F3ICjGDA5Sb2aX/YvjyLVwZfT+Aq7S1Sbu2uBkclAoVYb+H\nBoY5JfKg0rc5cLEzajhyJcxuqQnxvk0r+OuHTub1h6mQvT1947zjZ4/wzX+8xOW/ezKhn/zQqStd\nmeixAmPB4STA0rE+ptzhyDs4LTi+ATwLPAD8HVVsfFkIsQX4BbAZ+I7DfZRRoNAfdBln1Yyzz3MI\n53Snqq7hqRRnEDfRnyg4rN+gzWdxGHICHGpk0kHvBNUxgi+idYXmoeBwyxJXR3O1BWtcrx+q1AM5\nFx2OsN+Lb0SnBhZgHsRcmKExmM8Ox2Qklvg7ba0NwXifyoiAwj7nbUcSWNCKxH1hvp72LIRJPZ0O\nIw2xiAqOioDPtSwO3RY37PdapuEy1gv9uyBu73ft93r43kVH8ao1qku+o3uUH/3fTgB8HsFXzjmc\nT71+na1tO0HI72Wl2M87vHezYdv3YLzf1nbc7XAUT4eukOE0aXwClSb+eSAITAKvAKLAVcBrpZRF\nkH5VgohOQ99OR2njE2Y1HB4vHHkhLNsETbPfINcYhOPZoFVFY/GEtalTSlXatPGUnJPsFRx7+9Ug\nbKnonn3fOYJR3N3sQsFhFAmbssY95FRYcwYsO9nxvueCPuPeWhtCDBVjwZGkI7SK/nkN/jP+zttq\nQqmz0wsKUL9hQNDnSTAencwMz4ROawn7vek1TzOhW7YGqosiZVxH2O+lC3fSxvVZeFuWuM/+Eb63\nEb7Somi2NhD0efnJfxzNiYc0JD5bUOHnNxcfxztPmJ+/h4qAl5M8L/BV/y84tv2XMLDL1naMdDVb\n3aNh/fcqkhNPZcwrHJMOtYLiGu1VRjFgagS+sRRkHI67FN54teVNSCkTA5OMs2oNK+G869Iussoo\nHO8a4ehldWmWto6B8eTNrd6iJS6kBgWmdaqqbFK2w5Fxx8GK6dCeJwWH6x0Oq+F/LumR0kEXMS+v\nikKnFrZViInXcyFYDcFamBqiVQy4Kmi2ig6DJW5rbQgGX0h+WaiUKg161slEJJYVSpVlS9xE8by4\nKFLGdYQDXrpc63BoBYedAXG/6kYQjzjqIIX8Xn727mP40t9fYHA8wlVnrmdZQ6Xt7TlFRcBHh0wW\nQAzth0VHW96OscNhq6Ab0X6vVc3FEcJaBMi6lY4QYkO291GGywhWJx12bNJ+jDxvUy5VGWDscGzP\nQofDOJBpsTEwTulwpKNUuWg7PBficUn7gPp5msVA4vPRitnpatmEsShwo8ORQqky0+HIMuJxmfgZ\n14WSzjBF1eGABAe6VfTNK6XK6AjWVhtODU4r5CJvxz1w/Xnc6v0Eq8S+7HQ4rIb+GQuOIkLY7yWC\njx6pPeMcONglOxw2BrR9WsFR2ayeuQ5QGfRx9Vs2cN27jpnXYgPUBGOnsYNk8/w6zuHQQ27LgvG8\nQdYKDiHEMUKIW1BJ5GUUGnR7SZu0n6mIuwVHQ2WAugp108mGcHxP33jivZ0btjG3Iy2lCpKdhix1\nOHpGpxIJrbdVns+hk7/g9VPf4MYduQ/9crvDURv2J7jSprI4soz+8WkiMSWKPyRg4CoX2SBNLzja\nRD9T0ThSzha7lH0YMzhaa4OplKpCLvImh2DnPaxkH4tFD1NZsMW1lMERmYAxzeK5yK5l/Tzsl43q\nAwe0YV3DYcuhqv9l9W/9Ibb3n48QQjDga05+YDMDSbfF9QiotFosQ7JzVRaM5w1sFRxCiHVCiO8L\nIe4QQvxWCPFGw3dHCCFuBx5BBQP+xqVjLSOXMM7C2xhcGGkXoUxiup33QdcWmB6fcxEhBKub1SxQ\nNjQcuuYBYEm99fTZgM+TCH7KGP6nF3OTQzAxkH5ZGzD+LJe88hD84Wq2yqX88uH9xOK5HSjqRUHY\n76Uq6Nw2UgiR6HIY7WjnRDymHnh7HzFwet2DMfQvUL8Ejr8M1p5p22Yzb1GzkBhqZljIeCJULNfo\nTCk4wsmCI1wHoQLOPTEUS4tc7iLZolQZaUZzGHkUKvQJsH1SGxQP7rX1jAMHHY7odLI717DS1r7z\nGVP+BUxK7ZzYpKzpdLWqoM+a9gjU7/ON18DpX4IjL7C1/zLch+URgBDiaOB+wDgqu0gIcRnKpeqH\nwDTwXeBbUsrs+VGWkT3og+LIuHLTsJgXYXxghtLNTsTj8PuLIDoBh54NF8xdn65uqeLR3f10DE0y\nMhlx1YZwT98YoBhPS+rnTnxNh4bKAEMTEfMdDlAdpLC7epR2Q8GxpqWatx+/lB/93072DUxw15ZO\n3nB47lrMeoejuSZo/aExB5qrg+wbmEjpnsyJ/U/Cz09X78/8Fhx7sSvHoMNY9AQWbYQjznB1+3mD\nM77JN72Xct1mNcCfjMQJmsnXcRk69bE66FMFrD47XeD6DSMdbLHo4RlXXapsUKrqD4FP7VSD4opG\n144lH6Cfh31Se6ZFtW5OVXOatQ7GZCSWoA5b1nAM7FYaSSi6DgdAOOijI1LPCtHlmFJl6zkvRLnQ\nyEPY6XB8AYgAZwJVwJHAU8DXUMXGL4HlUsqPl4uNAobR8cWG1mDCWHCkG5iMdqobPkB9+pme1MRx\nd7scelegrSZkeyCl6zj6MxUcDs9tJhg7HEvrK3jXicvwedRg/9t3bWdsKjrXqq4jkTJe5Z4XvJ7F\nYYpSZZyddSAOnQspKeO1znNG8haBSoKBJG1wap50HJ1DSUcwAM79sZqktBFe2QAAIABJREFUeNVn\n5uV4XENVC/jUz7RE9LjqBJakVFmYXxQCKhtVmGIha2NmQUWi4GgkGqyDto3KKMUiHImadToVFGWH\no8JvEI7btCRPFhzZDVQsI3ewU3CcBPxYSnmHlHJcSvk88EmgAfiVlPIyKWWfq0dZRu6RMgu/2/Lq\nk2Y1HLpwDjLO9KRY43a5XHBoGo6lDdbpVDp0p6reTJSqRUfDudfB++5Utq0uo71fFXDLRRdLfn00\nbTedx1Ur1QNua9cIH/nD0zmjVhk7HG6hRdvW6FQ0c/FU1QIebYbMQcDXXOgyUnxqirjgIPXveL6s\ncY0WxAC0Hak6o+vOnJfjcQ1CJLo0i0W3q5SqielkVkQZyev4hthpPH3Rk3Dp/bYG/akp4xZn4fuN\nz73iKzjCAS8daAXHSIetrBFdw2FLkF9GXsJOwVEPvDTjM91E+lZnh1NG3sDhLHwKpSqdLa5xpidD\nwbGqxdjhcE84PhWN0aENZJbV23f40DscI5PR9KLP6hbYcCEsPSEr/vY6pWpj9SBi+ADsfZCLNjaw\nrlUVbHe/2MU37rDn+24F49NRRrWCwNUOhzGLI1OXw+NN0gOND3mXoA+AhYDm9n/AngdhpMv1/eQD\ngpoWSxB3VdRsFpFYPPH7bivGbpJ2z1UdDnfOr5Qy0W227FJVpNA7HBJPSifeKowBtJYHxSkTbSts\nH0O+oiLgpUNqTlUylnSMsoARJ4L8l++Hzd9RWSdptKFl5BZ2Cg4PilJlhD7NOObscMrIGxg50Tac\nqlILjjQPOgut5aaqIAsSTlXudTja+ycSmkFnHY4k5WRgbP7yLtsH1A328HBSkB5qXsnP33MsjdrA\n/6cP7OL3j7o/42+EUWPR7OLsf1OKNa4J4bg+g9i3w7Y4dC7orkltlR58N70HfnkG3PtlV/eRF4hM\ncN6jF/JU8BI+77thXjocPSNTiV9fa609nVVeQyuMG8QIIuLOIGkqGkdvZlpyqfrbFXD9eXDXf7ly\nHPkEY6dn3IH98LCh4Ki1WnAceYESNJ9wuWNL3HxERcDL76KncaHnWvjMbstOUVLKRAfJloZj6x1w\n93/DXz6gck7KyAvYJccdKoR4jeH/uj3IxtmEoVLKe23uxzaEEIcDVwObtI82A5/WKGBm1vcCnwLe\nDywB2oGfAddIKWOG5ZYDc0Vp/lxK+X47xz/v8Ifg5I9CRQMsPsby6sYBSdpWvj7r7K/MmAaqnKqq\neGz3gKtOVXv7k3XyUhsOVToaDLP4vaNTSdpHDjEVjSVm3Vf5e5Nf1C1nUVWYn737GC78yUNMReNc\n9dfn+PnmXSxaEGbhgjDHrajj7A2L8HjcEXdvOTCceN/iYsGRksVhRsfRsAq236lcwcb7obIh8zom\noYvGD68aBj2Go9AFzLPBF6J6fB9+Ma6yOOahw9Exk7724t9h+11KY3DsByC8IOfH5CoMXeXGqPUZ\n4dkwaqAcWnKJ2/Mg9G1XfzNFBmOnZzISg1hEuQVaFI0PGzUcVgfFS09QryJFOODjAI0MRLy2TFGm\novGE3bgtDYce+uevTGaKlTHvsFtwXKm9ZuJalFOVDqH9P6e9XCHEalSB0Q/8t/bxFcADQojjpJTb\nTWzm+8AHUSL4B4GTga+jio/LZ1n+FuDPMz7bYf3o8wiv/ZLtVY0djmBaSpVWq9UfYirNdlVzNY/t\nHmD/4ASjU1FXrFb3pmRwOCk4LGRxbL8btv9TucBc+FtF/XEB+weS3ZrFaNQef4VKOAc2LlnAty7Y\nyOW/e5K4VBbDevH2+0f38puH9vC1c49gfVvyJh2LSyYjMSotnuubn1ZiQY+AU1a753RjLF6+dvuL\n/Ph+VbSevKqRK89Yd7AbVoOBqte/09WCQxcxbwgaLHcbVrm2/byBEEyGW/GPvkyb6GdsHkTjRkvc\nttoQ7Po3PPlr9cGxH8j58biO+hUM+Ft5abIeEY8SicXxe51FZRln4U3PFEtZtKF/kDoB9oqH/hNu\nuV/Rmj78hKXtDKdQqsrCZiMqtHM8EYkRj0vLk1hGfYytgkO3QK9pMzWuKCM3sPNX8l7Xj8J9fB31\ns71KStkOIIT4M0pr8jXgrelWFkIcAVwGfE9K+RHt458JIYaBDwshfiylfG7Gas9LKX/r5g9RyDBF\nqZLSEH5kjse6xqDj2NE9ysYlzmc19xhcnZxoOOoNlKr+sQwz73sfgkd/ot6PdLj2YDc6VDVGtJtu\n3fKUm+6ZR7YR8h/Dn5/Yx/7BCQ4MTtCrpaM/tXeQN31/M+87eTkLKgI8uqufJ/YMMBGJceUZ63j/\nKeYsHAfHp7n3pW5AFQJudjgW1obxCIhLNeutz3y/cGCYszcu5LCFM3QxRlFm3w5YcpwrxzExHUvM\ncq4XBnpa6xGubD/fMF3ZCqMv0yr62TIPlCrdEhc00bhuAhCsLfzuBsD6s/jBhpX8fLOahJmMxJwX\nHHaclMb7k86BRVhwGN26IviVxmCwXVm0e8yfb0ei8SJHShcpGrPmkIYbKePas6+cMp5XsFxwSCl/\nnY0DcQtCiCrgLOAPerEBIKVsF0LcBFwohKiUUqbTm7wN1Z35zozPv4PqlFwIzCw4EEKEtX1NzPyu\n1GDKFnekU+V8gGkv8rUGp6qn9w64UnDoHY6akI/aCvsPjkYDpapvNFMWh0GUP7DHtQd7+0Dy0qua\n0GYpjY5jGk5b38Jp65MUtq7hSf7frVu47dkOYnHJTx84mCX4ldtexOcRvOfkzMXhbc91JFri52x0\nNzistsLP5888lJuf3k9cSoYnoolCq3e2827sOPS5Jxw3WuIui2rnyxcqSl99gEileng3M8hT07lP\nee+cSanSC44iorAZZ98nIjHHWUMjdgbFwwY3+0JOb58DxnM8ENAGpLEpGOuG6lbT2xmeMBZzFn5P\nHc8oKmDDSuVS6HIOUz5A1wtd6bsB3/U/hPqlysLaJEac0NXi8WTBUU4Zzys4mz7JTxwBBICHZvnu\nYSCoLZMOxwBdUsqUUZf2/27t+5n4CDAOjAshtgshPmT1wPMOo93w7J/gX9dArxkWWhJGu9I5W6Kh\nWnjnTXDGNaZtLY9aWkdAm/XbvMMd92W9w7GswX53A1JF47MOfI1waDs8F3SHqhpG8U0PH7yvOdBS\nE+KHb38Fv3zvsSyuSwpyKwJeTl7VQEBzKPri37fwu0cyi81vfkrRqcJ+L2843PxD3Czet2kFf/vP\nTdz64VP48jmHJz4fnZzFJrdmEZz6OTj/57Dx7a4dg3EA3DyhsSeb17tGj8s3xKrU4Mwn4sjRnpzv\nv0vT6wR9HmUeMaQXHMUzKDY6+k250EUyDopNU1OGjAVHcaWMQ+rse5/fcG+yaI5im/az61/KWOJP\n70kGVxYZ9ILjGM82Au3/hvZHLK0/4oRSNd4Lce26L3c48grFSDzUS9rZ0mb0zzLdRRfOsb6+DeP6\nceAe4K/AXm3dS4AfCiFWSCk/lemAhRBtwMy/jHWZ1ss6ul+Ev2ia9+qF0Lja9KqpLdE5LrNABaw6\nHSxQ3sMBL8csr+PBnX08/HIf0VgcnwPaQTwuE7PjThyqABZUBBBCY4plolRlKfxPLzhW+w3FmImC\nQ8er1zZz18dexWO7+6kN+zlsYQ0+r4d7Xuzist8+QSQmuerm5wj6PJx/9Oxdmfb+cR7brRyyXndY\ni2Xth1VUBZMDiNGpWRxJPB441f1gOF0wXsEkVWPawKHlMNf3ky+Q1cnZQu/oAeDonO5fP98tNSHE\n1EhS0FxEs/Ahv5dqxmkSg65Y46bQfszOwqcUHMVHqTIWHD0eg1HJ4F5Yerzp7egajoqA1xr1zYIV\nfKEirFGo2mUTR7Ndo6zFTE/G2CqUEysbAl7LHY68Ql4XHEKpP80a+MellNOAPmqcbcSnT0lm8lSs\nAOYKepgk6cqFlHIvcLpxASHEz4D7gY9reo9MPI5LSYrb8wdGm9o+ax2OEUOHw+0B58mrGnlwZx+j\nU1Ge2TfI0cvqbW+re2SK6aiaSVzmwKEKwOsR1FcE6BubzkypqlkEHp+aiXGxw6EXT821FbDwDWrb\nFkOtwgEvr1zTlPLZaetb+P5FR3H5754iFpd86s/PEI3HufDYg+ksencD4Jyjsj9DWhVMDqRGp3In\nZtYpVWvEPoTuldFSnPoNAGGY7faPdaRZMjvoThQcwaIdFJ+25fO8P3QbIzLMrum3ON6eLUrVkGHW\nvYiKOR1GSlWn11hwWO1w6DkRNjM4qlohWJV+2QKF3uFol5rzVzxiSauY2uGweH5HDPemcocjr5Dv\nlKplwITJ1z+1dXTV7GyFiq5czaSxGJ9jfX0badfXbHO/iTq/p2XYF8BPUNOFxtc7TKyXXdQsgoB2\nQ+zZZmlVvcMR9luc/TEBo+PR5u3OaFV7+pJSHicOVTp0p6reTC5VXl/y5msj52Qu6B2OSNNh8PYb\n4fJHVBfJBbzh8Da+dcGGhGD7Mzc9x0//9XLKMlJK/qq5UzVWBThllXvuVHOhyjADNiulKkvQKVXr\nPYbfXxF3ODw1yYIjOO6ObatZSCnpGtZS66tDqYPiIqJURcLKQa1aTBAd7Xe8vRSdgWlKlTZh4Asp\nW/Qig9cjEhTRDmn4+Qat5RLpHQ7LDlV6h8NGunmhIFlwGCauLDznUjUc5Q5HsSCvOxxAL+ZdsfQn\noH61zTa1qn82F11KxwFgwxzfLQKeMnE8+l9XxhGXlLIDSJkynC3PJOcQAhrXwIEnoWdmuHx6jGoz\nFFXpbhb//AJ4AyrnY+0Zprd92MJaasN+hiYi/HtHLx853TzVayaMDlVLHHY4IOlUlZFSBYrqNLDb\ntQ7H0HgkMevmxs8yG87euAifx8NHb3yKSEzy1dtfZHBimk++bi1CCJ7dN8TLPaqIO2vDQkd0N7Oo\nMjigjE3PUXAMtsOWW5Qt7jEXQ+vhsy9nATrF5x/eU/n6Je+Crheg7UjH281XeOsW83h8DR2ynpg/\ntw/y0alowoiiuSZYtLPwkerkzyKH9gLOBqW2KFUVDere5K8oWkvRioCX6WickZhPdRpGO60XHNq5\ntdThiEwmu3NFmDCuQ+8iJTocoHWQTja1/oid61bHUf+hJtlGOpSmroy8QV4XHFLKUeBXFld7DpgG\nTgRm2iKcoH2XKfzvCeB1mgYjIRwXQqwAmrXvM0FXJnSZOei8RdM6VXAM7FI3S785e1N9hmJO/qWU\n8NjPITIG695kqeDwegQnrWzgjuc7eXLvgKM8jtQMDmeicUiG/2WkVEFSxzHaCZEJ8DtLT9YTxgGW\n1GWn4ABlq1sV8nHZ9U8wEYnxw/t28s8XumiqDtI7miy0zs0BnQqg0qDhGJmrwzG4F/55lXq/8ChX\nCg6dUlVXWwMLN6pXESNY3chbpr8IwCU1h3BODvetdzdAy2GZHE5SEoup4KhJUhS9Q847n/rfQ8Dr\nIegzWfyfea36V8r0yxUwwn4vg0SYiMSVY+Bop3VKldY9sjQgHthNIqqsvpg7HEkNRwIWOhw9hueI\n5RR3X0D9To1OkGXkBRxNPwohbhFCnCOEyJvCRStSbgXOF0IkCINCiCXA+cCt2jL6521CiHVCCONV\nfSPqrvDRGZv/qPb5jYb1D4on1exxPw9ESFK9ChNNa9S/Mp5MBTcBPeG2eq5CYLRbFRtgq7W8SaNV\nReOSR3fZp1XpmoeA16OsNh2iUetwjE/HmJjOoCeoWw4IRV0bc+76o/8sHuJsiDwNI11ZGzS8ak0T\nv33/cYl29/buUR7c2ce2LvWndUhTJUcsqk23Cdfg83oSM2rGZOUUpOiR3Mnj7NIoVW5cN4UAY4Cn\nG4JmK+g2WBC31AThlI/D57vh4y8mQi2LAdJQPPmHrc24zwad9lMd8lnvmhdpdwOSwvGJ6ahySDzm\nYsvhkckOh4Xhj/EZWsSUKv38dsgG4kKbELLQyW/vV6z15urg3DleZRQcnBYKm4A3AX1CiBuAX0kp\nn3F+WI7xOZSQ+19CiO9pn10BxLTvjPg68G5gBbAbQEr5jBDiOuAKIUQ18G9UL/C9wE+klM8a1v+J\nEKIBuBfYh3KpejdwCHClMQukINFkMMvqeck0R12fWZuTUmW88dpw6thk0AY8sL2X16xrSbP03NAp\nVYvrw3gtpqHOhvpKQxbH2BSLA2k6DcddAid8yHTXKBN0/cYS0c3R939c2Ra85vPwyoxGabZw9LJ6\n/nTZSXzn7m3s7R9naCLC0HgEIeBTGsUqV6gM+piIxFLsmFNQ1aL0SNOjrmRxxOOSbs2mtWQKDt/8\nFRxdI4aCo1o73x5v8XG0De51wZF9aRY0h8Sg2OoscZEjbEjC5uSPZFj6YExGYgmzEUvn1mgvX9Qd\nDnV+Y3gZC7VSPbHfUgdJ79ZnixpcxvzAacHRCrwZeA9wOWqA/izwS+AGKaU7QQkWIaXcKoQ4BSXc\n/rL28WbgM1LKrSY3858om9v3owTc+4GrgKtnLHcrqsD4IFAPjAJPAh+TUv7Nyc+RF2ham3xvQTiu\nczCrg3PcjB1aAy5rqGRJfZj2/gn+vaPX8vo69mqicacOVTp00TgoWtXidNQmlx1K9A7HamGQKGX5\noba2tZofvTO39qizoTrko3d0am7RuBCKM935XOq1ZxO9Y1NE45JNnuf46L5r4fZj4YTLitbmEpSu\nrNYXoSHWw9KhTogfYSmZ2QmMlKrmIi7wAhXV9MoaGsUwoTHnBcdIwknJ5KN+elw5CoVy052cL+gF\nx3imLvQcMGpjLFF+9HuP8KQGkhYZKoxZJ+HlVFdUmLZnj8UlBwZVh2NJnUWacTwG152qwkAPPQeO\nfKu19cvIKhwVHFLKCHATcJMQogl4J/AuVCL31UKI24FfAHdozk05g9aFyCgMkFK+B1Uwzfw8CnxN\ne6Vb/+fAz20dZCFgwTLwBlUS68DB6dOzQUqZoLbM3eFw7kW+aVUjv3+0nW1do3QNTyputwUMT0YY\nGFcPjqUuFRyNxoLDjHDcRegp4xtDHSodBkpGNKfrOOakVIEqvvSCIx53NFjuGlK/2w1iJ0tHnoRH\nn4Rj3md7e4WCK3x/5WLfzdAOjL0Jqu11Fq2iy0ipqg6kWbKwEfJ72SebaBTDVE5k8jbJjCSlyuSg\n+MW/w18vgUA1/MdfYMlxjo8hH6FTfibtFhwTNuyGAd70HdVxHtzjWmc7H2HMOvnz2m/zydevTbN0\nKjqHJ4nEFBXYcodjaB90PqtezYdaW7eMrMO16SkpZY+U8ttSyqOAo4CbgbOBW4D9QoirNR1FGYUE\njxfecyt8/CU49yemVhmfjhHXpANzisZ1WosvpEIFbWDTqiR3206XwygYX+qCYBySonEwkTZuRGyW\nwDqL0ClVR/g1wzOPr6jb9kbopgFpCw59RjE6CcPOB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xNlbYwZGIu6mdjWdXBO9PBkJHFu\nLes3jBkyRR5aWchw+tdym+H9d0mMJhMQ2mel59NZwtBnmA960Ol0KsiKYDxfkdBwzGWLC2pQ8asz\n1fvXfMFywbFgYi8hoT0ISyhhXIfHI6gMeBmbjjGaKYcjUKEK3gNPKZtci1g4ZqAULjzK8vqFDJ0e\nuE82sZIORzkRZpCSMl4dSmYZFGkGByQnKL4aeQd/+OAphFtW29rOSMJJycRjvoRC/yBVNK4jEAzz\nXu4kKCPE9izBO0fBYeyANFSVBs3PDsIzdEOnrG5kV+8Y+wYmZi04HFniDuxKvi+B67dQ4bTgeK8r\nR1FGUWFOSlWn7lAloOXw3B7UPEKfsUxLqWpaC94gxKZsJY4fMvpU8j+6KLrEUBXyqYLDTNL4khNU\nwTHUrrIOas1ZJMfikkOi28EDY95aKktEAKpDHwy3yyb1wVgPTI9ljd7UNZIUgbZVyKQZQpFmcEDy\nHD8jVzFefxjhoL1BraWsCL2L4vGXhKg5PGP2vTLg5cITlvHyQ62sF+3EurbOOUu6tTM5WF7dYiI0\ntncHxCNQYlTXihlF3ZWvWcydd9zM6PALPNV1FFKelKLT0OlUYMMSt8QK5kKFo4JDSvlrtw6kjAJB\nPAZdL0Dnc3DUOw76OhaXKuiHWWbW1r0J/JVq0BB0N907n6EPIKaiceJxObuA0+uH1sM1WtXTlvdx\n6JRaJ4oXn1GjUEKoCvroYiqzhgNg5atheJ8qPHzm3Y96RyY5TKjZtO6qdawoMb/3oEZRbJdJ1xkG\n92atq9ZtsCBe4jE4rxXxoDjVejhNVzQNpJSJrAhToX/6gK1uOXiKn5AQ8HrwCNDYepxz1CLWNFez\nQy5iPe34BnbOGbhoLDjWtc6emJ2Czd+Gp3+rirnP7c+qWUo+wairO3vjQg4N9XJo9+fAD1+OQMfQ\nJAsXJAsLRx0O/fr1+Ir63lDoKBMQy7CGf1wJj/5EvV/9WqhqTvl6NF3o39oz1KvEYHREmYrGD5pd\nS6Btgyo4BvcqEVxFvbkdxOMcEXkOgJ3+tawtoWLOCP16S5vDoWPN69NmycyF/n3bWK8JxkfrS6dL\np+OgDgcoHUeWCg4jpapZGtyTinhQEQ4kdWdzZvdkwEQkRkwbTZuybtUHbCWg3wAQQlAR8CUmJ95x\n/DKGJyM8FF8EXvDEpxVdcJbzoRccTdVB6s1Yt+oZHLWLSqbYADh6WT2NVUGEgE++bi1UgUQgkKwW\n+9naNZJacAw4KTg0StWCpbMWiWXkBxz9ZoQQ7zKznJTyN072U0YeYfGxyYJjz4Nw2DkpX49MJQV1\npsSKJYCZ2QVpCw4dnc/CIaea28FEP7tp4zA5xrbKoyg9ybiCTuEbMUOpsomp9icS72M5cFrLN4Rm\n7XBkT8dhTBmvi3QmvygBDQdI6u77LEzsVuGgr/2S6W3otq1gglI13g+Tmi1sCdFRGqoCjE5F2bhk\nAYcurKG9f5zt0kCt7Nl6UMEhpWSrpj9Y21KdeSdSQq+WwdFYWnfmpuogmz/zarwegd+r7huR6iUE\nRvayxrOPx7tGePXa5H1E73DUVfgPnqzMBL1gLqHrtxDhtBT8VZrvjALycsFRLFh2YvL9bAVHug5H\niULXcIBKZ54TbQbHo45nzBcclY28LfYlPJFx3tzYyFm2jrLwkehwZBKNO4CvM6mvCS49Omv7yVfo\ng+G9xoIji05VeodjQYUf/+iB5BfFrOFIUKoEVe33wuh+kNaoVZZSxkuU//7FNx/GTU/s44rTlCi/\ntTbEyxgLjpdg3RtT1ukZnaJ/bBqAta0mCo6RTpVxAtBoT/xfyAjN0HF4W9bDyF5Wif3c0JEqHNdT\nxi13NyaHYLxXvS+h67cQ4XREuGKWz7zASuAjQCPwHof7KCOfULtYBQAO7lEFxwwY+fMp3OEX/qpy\nONo25MwSN1+Q2uFIM3BoXq94vvEI7Hvc9PZjcaltN4SoqHNwpIWNSq3gGJ2MIqXMHBw1PQZ7HlLW\nuOvfZMo57YG68/jxtmrWetq5cGFp0E+M0K/lISqZ9lYRiI0mnaOygG5NNN5SHYKB3epDj1/lARUp\nQsYU7KoVBEf3W87iGEkpODJ0OIy2uyU0YHv12uaUGXa/18N41XJiUwKvkEkqlAHGwDpTBYfRAKS1\ntJ57s8Hbsg523EmNmKCvczegJtmklOzTQ/+sZnAID5xxtSqcV7zS3QMuw1U4FY3PNbX1MnCXEOI+\n4BLg4072U0aeYdnJquDoeh4mBiCcHOQaH3QpBcf910D3C1CzGD7+AqWEkM8kJ9sXVJS1vQ/Cznsh\nMgn+zIJmY75HRaB0u0rVWsERjUumovGDZtcOQt8OuOF89d4XMFVwbJ+q5db4idzBSXyo2rzYvFgQ\nTFzLgr9uvI4LTz0aKpvTruMEOqWquSZYMsJm4/1itHIpdQCjXTA5DCETImVmUqoy3BMOPVsZVvS/\nXHI2zzPRXFfD7o5WlTHT89JB37/UOZx4b4pS1Wm0gi8XHDQltV7e3m0JE5We0anEZJzlDkew2nKW\nUhnzg2ynot0EvD3L+ygj11h2kvZGwt5HUr4yUqoSGo6+narYAFh9eg4OML9g1GykpVQBrNcIUf6w\nuVnN4Q6m259GoG7WlWnCloodlQYKnymnqubDlGsamM7j0AfALdVBvLO5jRU5jEXc/tBqqG4FT3Ye\nI7G4pMeYMn7af8EbvgknfDAr+8sXGO8Xw5WGJPt+8wGAw5MWtHT+ELQcpu49Zo0qihSL6sLslAvp\nkguQVa0Hfa8LxoWANWYKDr3D4QtDQ+lRqg6CIZR2WXwv+zQa1QsHkoXcknqLlrhlFAyyPR1aC5ib\nkimjcJAoOIA9/4a1b0j8d1YNx4t/Sy6//s3ZPrq8w0zReFoc8RY10770BHOzuM/eSP3d/80TwSre\nOv3fhAPrHB5t4cKY+zI6GaUxUyiX1weLj4Fd96vCOVNHSUo6h7SCo7b0uhuQqkeaynQtO0Tf6FTC\ntrSlJqg0TYecmtV95gOM94v+0NLkF307TXcghg33YVMuVWUAsGhBmA9FPkIUH4+86TRaZnyvB9Yt\nq6+Y2/zDCL3gaD287J4E0Lgm8XaV2MfWrhGWNlRw46NJWuZJKxvn48jKyAGyMjUlhKgVQpwLfAJ4\nOBv7KGMeUX8I6LM/M3Qcs2o4tmgFR6i2JDmWQZ+FgqOqGZafbJ4ysvsBtQ8i7JUtKd7npYZqqx0O\ngFVax21qCJ7749zLSQl//wiXD3+Hd3rvYmF1aQ4eLBXPDpGSMl5TOgWeMYejd2bBYRJ66B+YoFSV\nkcCiujBRbR5Wn33XEY9LtnUpDYep7sZ4f1LfVNZvKASriFQpw4eVng62dY3QOTTJXS92AbBpVSMr\nGi2GiN5/DTz9exWwWEZew1HBIYSICyFiM19AP4pO1Q/8pxsHWkYeQYikW1X3ixBNDgyMGo6qkA8G\n2+HAk+qDtW9UAXclhhSXqnSicauIRZToGXg8vpYIvpLWcFimVAG84j+StKqHfqgKi9nw7I3w5K85\nT9zHWd6HaKrJTrJ2viNo0BfUjuyEGy6AHx4PL93m+r46DZa4zSWklzHmcPR5mlWYGVgSjpumVI33\nwy/eADdfrnRjJQ5jLsT+wdSCY2//eEIvt86MYDxQBe+5DV7/dTjsXFePs6Bx/k953fS1vH36KrZ1\njXDjY+2JzJh3nrA0w8ozMDUK930Vbr4M/v2dLBxsGW7C6ejk/5Fqf4v2/wFgO3CXlDK702BlzA9O\nugKO/YDyhzeEGY3ObOU/cWtynRKkUwGE7c4KTw5BzzZYcuzs3+9/EiJjADwYPwwobQ2H0YZ51GwW\nR7gOjnqnypbpeQl23HOwzmi4A+74NAATMsBnIx/gwgWlyTMWQhDweZiOxpmOxWDXneqL3u2u76tz\nKDngWztwP9y3E+pWwOHnFXWAmrEjOhET6mfu226p4EjV0qV5zPfvgr0PqVfbBlj5GlvHXCxYbPi7\n7urpg8GoCpODRP4GwBozBYcvAMs3qVcZCfhXnIRsjBDrHuXFjmEe3dUPKNrkaetnktgyoHsLiSFo\n6xHuHmgZrsOpS9UXXTqOMgoNi14x68f6g87nEWo2VKdT+Sth5atzdXR5BdO2uEbceRU8ep2aJfvk\n9tn5v7v+lXj7UPxQACpKOPvEqOGwlMVxwmXqXCPhoR+kFhwalUr30r86eiG7ZButJUTxmYmQVnAc\nILvhfx1DyQ5Ha8c9sOVGEF44/HzX95VPOMhkonmdyuGwYFmrU6oqAt5E6NqsMArRG0rHEncuLKpT\nBcefA1/kmM3bYO+J8L5/AEnBOJjscJQxJ9a0VrO9ezRBUQO48Nil6a/V2WB0ASsXHHmPbLtUlVFi\nGNGoLNUhH2KsR82cAax5nXJeKkEYC44Jsx2O8AKITcNEP+zZfPD3UsI29SCc9lXzglwOlDscOiyl\njdcfAuvOVO9fvg86n09+9/TvYLuaxe+pP5pfxV4PlJamYCb063k4HoDKJgAme3YxNB5Jt5pl6AJ9\nn0cQGtEKmgVL1MxxESPlfjEdhwuuhyuehLf83PQ2dNF42u4GlGwGx1yoCPioq/AzKrVnVc9LCZql\nXnAEvB6WN5QmpdItrGlOLdg8Ai46bon1DXU+l3zfcpjDoyoj23BccAghaoQQXxVCPC+EGNNezwkh\nviyEKDtUlQL6dsLufwNJDUdVyAfjfaqdLDwlS6eCmRoOkwXH+rOT77fccvD3z/0Z9qtwwP2NJxND\nDVJKWcNRZUfDoePE/4RwPbzyU1DVAtPjsPnbcPun1Pf+Cv6x6gtI7ZbZWqIuVZAcEE9GYioEFDiw\n6yVede191s97GugajpaaEELP4CiBQbExh2MyGlOaOYvQ78MZHar08+rxQa1F/nyRYlFdmB1yofrP\nxACMdABJStXK5ip8mWbip0aUvuner8CBp7J5uIWHeIy3tH+FmwOf53O+GwA4bX0LbbU2JiT1gqNu\nuTKlKSOv4VQ03gw8DlwJhIB7tVcIuAp4XFumjGLFPV9WotG/XgqRicSAozroV8nZ77lVUYLWnjHP\nBzp/MGo4TFuJNq1JhiS9eCvEDetNDMKdn1PvfSH+vSyZS1BR7nAAMGZ14Lv0BPj4FnjN56GqCX5z\nNtz9xYRGhtO/xNbppF1jKVOqdOH4ZCSuHvTAItHD0PgUL3UMp1nTGvQOx7KqGIx1qw9LoODweT34\nvarI0CcoXu4Z5X/+uZVdvWOmtqFTqmrCmVLGNe1N3fKybauGRQvCPB1flfxg70NMRWOJc2+KTtX5\nvOqM/usaaH8sS0daoPB4ael7hI2el9ngUR22d56wLMNKsyAeg64t6n3L4S4eYBnZgtMOx1eBZcDb\npJSrpJRnaa/VwIXad19xepBl5DMkxCPK/u/h/01QWYx8eiobS5ZOBRA0ajiiFlyqDtW6QmPd8JiB\nTjE1DA3aA/GVn6TT05b4qqKEbXGN15wlShWoWWTjNXr0u9W/lU1w5rfguA+wX7PJrK8MmPPgL1Lo\nHY6paBzq1EAhKKK0MJDijuQEUsqEhuOIioHkFyVQcEDSGlcvOD72h6f4/b1P8N2b7jG1vilKlZRJ\nK1FDPkKpY+GCMI/GDXlGex5kR/dowklpramCw5gwvsHlIyx8eJrVZNoqsZ+l9RWcsspG9kbfTohq\nxhJl2+GCgNOC40zgf6WUBxnYSyn/BPwIeJPDfZSRz9j0sQSPmwe+TWCil0X0sClmLrm5FGCkVE1M\nW3CpOvx8JZIFuONT8LcPq3C6BUvhvbfDW34BJ12RIpCuLGFKVdjvRQ//ttzhmIkj36ZSra94Go69\nGITgwKAaAC8qUYcqHfr1PGWgVAEsET3WC705MDwRTeidVvu6k1/UrXBl+/mOYIK2Fqe9b4zret/J\n46EPcnbnD02tb4pSNdoF05oQumHV3MuVGBYtCNNNHbvimmPSngcTgX8Aa60kjCPK2oJZoBccDWKE\n/3pNMx6PddpgWTBeeHBacNQDW9N8v1VbpoxiRbBa0VAApkf4evQa/hH8LJf2fM1SUFUxI+D1JGjY\nlmxxm9bCuT8GnzbAffI38IvXKe9xIVRB4gumFDFG+lapQQiRyOJwrCXw+pR7VbAKUDPuui///2fv\nzuOjqq/H/7/OZN+BhJBA2EGQxQVQFjdcQHGpWhVxQ1CrxbV1335F1FZrrcWqdWsrH62iLfYriHXB\nKlakagVX9lV2QgiQfZmZ9++Pe2dLJslMZrJNzvPxyCOTe+/c+84Qknvm/T7n9OzSeZdTQWAOR02m\nL9GztxQGNJyLxO4SX0ncPrLXt6OTzHB4enFU1rhYsqaQ/cZan97LtQOnq/FZ0mqny1sNr9Gmf0Xr\nfY9zBkc24BhSYFeq+tJtL2ktXM2P23d494c0w+EJOHIGe3+HKD/dh3gfnpZzoJEDG3Fgq+9xni6p\n6ggiDTi2Aac2sv8U+xgVy46+AnKtd3HGONaRIZUkmSpYMa9tx9VOiIg3EAhrSRXAEVPhmiW+d3bz\nj6r3B6zcDjhSE+Oa905RDMmIVsBRR0ml03vOXl1So3rujsbTJ6LK6WabO5ddphtfuIdSRop3KU+k\nAkriunbZj8SbMxLrvEuqnC4+WL2HDaYXAP1kN0WHGs/jCOzB0cgMh6sWcodBXCJka8Dh4fn/7b+s\nytjVFjOS48lvqmBEbZVV3Qp0OVVDuvstWfO8VuE68Xa4a6vVXDGrGRWuVKuLdP3Fq8BsEXkaeMQY\nsxNARHoBdwE/BR6I8BqqvXPEwekPwytWN9UKk8Sn/W/h9En3tvHA2o/khDgqalzhzXB45I2Ea5fC\nsidgYv3XtMK+Ee7MFao80pPj4VD0Aw7/rsOeWv2dVVKCJ2ncxarKrtxS/bR3X/8o5XDs8Qs4smr3\nWQ8ye0FC55hd8uQI7T1Uxd7SakZLAcRBorg4sH0Ned2ObfC5pXWbrzZk0KnWh7sZv5NimOf/95fG\n9y58+p4vgcMY2SsLaapqWOFqcNv/BppbEJzfDAeFzQw4wGrcqo0VO4xI71B+AxwNXA/MEhFPF5d0\nQICFwCMRXkN1BANPoWjiY7zz4RJecp3BRX0ncnozyjnGquR4301as6R0gUkPBt3lyeHozBWqPLxL\nqqL0TrtHQMDR2ZdUxfuSxv3XtoM1ExQN/gFH2YWvk5VQDuX7onLujsDzGu+yX4cNjl7efVW7V8GR\nDQcc/svaGl1S5eHQ3xv+uqYmkJzgYHttLm8ln8sXFb1Y6jychDjhtslDmj6BN38DneFoSEoXyCyA\nkh2wa2Vbj0a1kkg7jdcC54nIFOAcwJPRtwVYaIx5P8LxqQ5k96BpzH6vAIDMphpOdTIBvQuirMJv\nSVVnl95CS6p2BQQcnXtJlSdp3OU2rN4VWAa3NMozHCKQm5kMcalWueJOIikhcLXzelPg+6JwTaPP\n9a8U1uiSKhWUiNCrSwqb9pXzi4MXe7c/ePYwRvft2vQJAipU6QxHg/qMgx8WwK5vrL4lSWF0b3e7\nwaF9qzuaqNwVGmPeBd6NxrlUx1Va7ftDl64BR4Bkv6oz0eapyJSWpK95SwUc/jMcmjTuC2y/33kI\ngFSq6C2FlFVGp0bIbrvpX056EglNNVmLQXWLP6TmDqTqYALJUkvygQ2NPjdwSVUDvxNcTijbYy1T\n05noenp1TWXTPl+uzPlH9+KKUHtFZBVAajYkpllLflRwfSdYs0F9J0BNeXgBx/I/wpcvWMuNf/IU\npGu7t45A71BU1PgvY8lI0nfW/CUnRLikqhE6w+HjCTjKq50YY5pebx0iTw+O5AQH3dISo3LOjsq/\nzHNRWQ3Xxr3NvQnzAbi+/EVgfMTX2HPIer2bTNCNUcl1Ao6Lju3H5g96MYytdC1vvPpf4JKqBn4P\nF62HZ8dDQipMeQxGXRHxmGOJf+nroXkZ/Ob8kaH/LjnhNphwCxzY0kKjixFjrrJKjjfH3h+gZKdV\n2lk7jHcYYQccIvKrMJ9ijDEPhXsd1fH4v7OmMxyBPDcQlS0YcHTmHhwenp87t7Fe62gl0vtK4qZE\nLYjpqDxVqjz2mGzv466VP0blGp4qVZeYd+GpW6wqbT95CjLzm3hmbEius6Tq9OF5fP9RX4a5tpJT\nswOcNRAfPPD1X1LV4AyHp8N4bYW+Cx/E8YNymP/lNrqmJvDycUWkfHAHOKvgvD+FdoK4eC013JRI\nfo/u+d763H0oxCdFZzyqxTXnr/EDQbYZrCTxYAygAUcn4L+MpdEOt51QSy6pqvAkjXfiLuMe6X7L\nysqqnFEPODp70z+ofzPsn1+QV7014vOXVTu9b14MlJ1WN+z9G8NbctHB+S+pGtkri55dUng14wTW\nFXWlOHUgD2AafG5IVaqK/JZl6Y1xPWeOzGPRjcdR0DWVbm/PhLWLrfLBZz3RaSqltVu1lb4eMtrw\nr0NpzuLYwXU+xmIFG9OD7BsMHBaVkYZJREaIyL9EpMT++JeIhNQdRkTSReQBEXlbRHaLiBGReY0c\nHycid4vIRhGptj/fLSKd6g7QP2FUl1QF8txAVEd5hqPG6abWZd186AxHYMBRGqU8jmqni32l1YCv\nKVhnVne5z2aTj8v+U9LbGfkMh3+FqnzXbutBeo9O1UDN/zWePMzqeL2tx2k84ZzKaxXHYOIaXtYX\n2pIqO+CQuE7TvT0cIsIRBV2s5ZN9j7M2umpg54qGn7RvPXz3dysBWoXu0A7rddvXWA9pP9u/AGO/\ncadlhzuUsO9QjDEBC0hF5KD9cFfdfW1FRAYDy4BiYLa9+WbgUxE51hjTeNYd5NjP2w18BZzdxPFP\nAbOAl4DlwHFY5YB7Azc053voiEp1hqNB3t4FzugGHJ7ZDdAcDghcylcepYBj90HfDXDPLA04kuss\nqUpKTqE4qYDu1dsYyHZqnG4S45uf6L23xPd6d6u2Ozx3spviLqm+gGLy8DzAl89S43RzoKK2wVwi\nT/PFhDghqaF/B8+Sqq79GlyapWx9J/ge/7gc+h0X/LivX4blT0F8MsxaDtkDW2d8Hdne1VYuEcDE\ne2Di3U0/Z+07vseDTmuZcakWEat3hY9gfW8nGWO2A4jIAmANVu+Qi5p4/m6gwBizU0TigQZrPYrI\nSODnwB+NMbfYm/8sIiXATSLynDHm+8i+nY5Bczga5nnHstZlcLrcxEep8o6nyzho4z+ov6QqGrTp\nX6C6JVuH9MiguHYg3au3MUh2UVpRRXZm80sHe/I3EnCSWml3Ge82oNnn64h+OqoXK7cd4MiCLIbk\nWUvJ8jJ9S3l2H6psMODwzDRnJicEzzcyxlqmBrqcKhR5IyExA2pKYd2/rA7XdV9Xtxt++H/W4/Qe\nne7ntdm6D7GSvqsOwdZlTR9vjC/gyB4M3dtkAY1qppirNygi6Vg9Qd70BBsA9uM3gXNEJK2xcxhj\nqj1d00MwDWtJ2dw62+fa2y+u94wY5bnBS05wdMpSlo3xf1e4yhm9PI4Kv3fx0zSHo0WWVAWWxNWA\no27S+OAeGZRmDAIgRWqoKNwc0fk9FaoKZB/iWTrRyW7gemQm8+L0Mdx4ii8gyMtK5kjZyMy4d0lb\n1nA/3e3F1uuXnd7AzEX5Pqi2yhmTPShqY45ZjjgYeqb1eNfKwHfYPXb8z2piBzDip1pqOFSOOOhj\nz3Ds+J9VDKExu762qlMBDD2rZcemoi4W7wpHAonAf4Ps+2F1mp4AACAASURBVBxIso+JljHAXmNM\nQA08++tCe3+jRCRfREb5fwBDozjGVuF5Zy1d8zfqSUn0/VeLZmncCp3hCODfiyRaS6o8JXFBk8ah\nftL4YT3Sqejie6fRuWd1ROf3zHAMkF2+jd0615KqYPKykpkev4TZCa/QZ/XzUFtV75jKGhcbCq0c\ngmH5mcFPpAnj4Zt4Nzjsv2v/nmP1MfH3w5u+xyMuaL1xxQJPjoyzygooGuMf7A1taqW7am9iMeDo\naX8ONkPh2dYrytdraDZkZ4jXug5YUefj1aiMrhV5qlRpl/H6AmY4ohhwlNfoDIe/gCVVUZ7hcIh1\n09fZ1U0aH9IjA1fOEO/Xsm9tROf3JI0fleQXcOQOi+icsSA/K5n1bqsimAO3Lw/Dz+rdJbjtAlYj\nejXQn8D/edkacISk2wBfz4ii9fD1K759bhesfst6nD0YeoRUm0Z59PXLifmxiWVVIy+ycj0GnAy9\nRrfsuFTUNacPx4N1NqVglb6dISITgzzFGGNmB9keyrUEa0YiFG5jTA3gWTxcHeQYz1tC0XybMhVo\nqCxFFdDA20wBngcW1dk2lA4WdHhyODR/oz7/m7SoznBU6wyHP/9iBdEKOHbZAUePzGRdKkj9gGNw\njwxW1Q7iJefprDcFnJF7Kv0iOL9nhmNk/E4re86RoO/EA93Tk9iIrwQxhWvrlQX9we78DlY53aB6\njYaT77cCj+5Dgh+j6jvxDvj6VSuX4/NnYfQMK6fg8z9ZDejAmt3Q5VThyT8SEtKgttxKyj/htoaP\nzR0KuSEklqt2qTl3KPc3sP3yBrYbfJWiwtUXCLVd5yfARKDC/jpYoOJ5e7IyyL7mqmjgWp7rNXkt\nY8xurER1r47YXMwbcCTpjW9d/stQotmLI2CGQ6tUBSyp8uQULdtQxCfrC/n5SQPJTg+/SZT24Ajk\nX/moW1oiOemJZKSmMsd5JQBHJfaO6Px77CpVhelDIMt+uz5Ol2nGxznYnzrAV8Jk35p6x3xvBxwi\nMLyhgCNvpPYvaI60HDjpTiu4OOE2qC6B1y6GbfbqbXHocqrmiIuHPmNh00ew7QtruVqc3kPEoub8\nq7bmYtoiYGaIx+6xP3vm4YMtZfJsCzUhPBS7gCMb2NcLaGJRYuzw5HBoSdz6WmyGwy+HI0UDjnpL\nqjYWljLjpS9xug0OEe458/Cwzud2G29ZXE0Yt/j/LA/OTUdEyErxve4llc2fWaqqdVFcbiWOftPn\nSqaerzfGAbJ6U74viTSptmY46vDMcPTPSdM3flrCcTf7HhsDCfaCisQMOPMxrZrUXH2PswKOmlLY\n/Q0UNJn6qjqg5vThiLyzU+jXKgPmhfm074EaYDzwXJ194+x9P0Q8OJ8VwGQR6e+fOC4i/YFce3/M\nM8Z4l7Bo0nh9gQFHFGc4AqpU6Q1GUryDhDih1mUoq3LywKLVOO1F7RsLy8I+X1FZNTUu699LS+Ja\n/Ltge0q2Zvh1tC6parCKeJMKS3wrYf3LwCpLj6wUNhT24ijZXG+Go6rWxQb7Z7zB5VQqekTg7Cfg\nwzkw+WHIimZqaCfT/0Trc1ImVBTX319WCH+/0qoWNvx8yCqof4xq92JuQbIdpCwGLhAR70+liPQG\nLgAW28d4tueLyFARae5d8htYy8Z+UWf7L+ztbzTzvB1KRY3Lm6yoMxz1+QcclVGc4agMqFKlMxwi\n4g28PlpXyLKNRd59e0vrV/Vpyg4tiVtPj8wkxg/IJjUxjvOPtm6yMpMTyKKMC+M+YfzGP8C2z5t1\n7t2HfK+3JujXl5+VwgY7cdwUb4GaCu++1btLcNm/hBsMOEp2wWdPwtp/QXlR8GNU6Lr2g4te0mAj\nUgXHWHlFN/4PDptcf/+6d2HbcvjgfqvTuOqQYvXO8F7gNOA/IvJHe9vNgMve5+8R4EqspWJbPRtF\n5EagC76g7AgR8eSvLDLGfAdgjPlWRF4AbhaRDOAzrE7jM4HnPcfFOv93NTXgqC8whyOaVap850rT\npHHAWlZ1sKKWgxWB77TvLQlWR6Jxu/wCjgINOAArqHvtZ2Opcbm9PTmSExzkOkp5POF5qxj45v7Q\nZ1zY5/bkbxwhmxjsTIaabEhsfhPBWJOXlcx6YwUcgrEqJvU8CggxYXznCljyK+vx1Jdh2LktOl6l\nQiICJ90RfF/VIVjxkvXYkQCDJrXeuFRUxeQdijFmnYicAPwWeMjevAy4yxizLsTT3I6VtO5xtP0B\nsAPwDyRuBLYB1wCXYeWI3Ac81qxvoAPyX65SoEtP6klpsRwO35KqVC2LC9QvWpAY76DG6aaorDrs\nLu/+PTh0hsNHRAIaAIoIB5MLqHbFkyTOoAnNofBUqLo1fgFHv/f/wSfd4M7NWvnHlpeZzOd2wOGW\neByHdngDju93hJAwvtNvha+Wb1XtmcsJh7ZbiflF9m3bYadDciiFP1V7FJMBB4A9szAlhONmADOC\nbO8XxrWcwG/sj5hSUeOkssbVZHWfVbtKvI+H99T1w3W1VNJ4uV0WN94hJGrJViAw4OiZlcyUkfn8\nZdkWjIGispqwlur4z3BoDkfj0lKS2Fzak8NlW9CE5lB4enAMcWy3NnQfqsGGn7ysZL50D2Vy9W+5\n9vzJXHi4rwP796EkjG//0vqcmtPpurerDmTtv+C9u6C6FCoPWNvyj4Kzft+241IR0TsU1aBDFbWc\n/PhSxj3y74Dp+mBW2wFHvEMY3CO9NYbXobRUWVzPDEdKYlyHLKXcEvz7wNx/9jD65aR5v95bEl4e\nh6ckblZKglb9aUJGcgLr7Hff2b8BnDVhn2P3oUqyKCNf7MTRHsOjOMKOLz8rmQqSWW96s7vU98ZF\nSAnjrlrfDEfvsRrIqfZpz/fw+iVwcJsv2Bh2Lsx8FzLy2nZsKiIacKgGvb9qD3tLqql1Gf69prDR\nY1ftsgKSwT0yApZaKEtSi3Uat86l+Rs+k4b1AODMkXlMGZFHjwzf7Fy4AccOe0mVLqdqWmZKvLcT\nNm4nFG8K+xx7SqoZKtt9G3poh3F/Pfwqd+32+1leE0rC+J7vwGk/p/exLTZGpSKSNxKOmOb7+sQ7\n4MJ5mssVA/QuRTXo/VV7vI83FzVcUrSixsnmonIAhuXr+spg/HtkVDmj2WncmuHQ/A2fy8b25eyR\nPclIjkdEAm7S9paGlzi+S5v+hSwjKYENxr8T9hrIDa/vyZ5DlZzu2ObbkKszHP6SE+LomprAgYpa\n9h6qguoy2LeOH3Zme48Z0VDA4VlOBdYMh1Lt1dlPQM4gaxnVYE0SjxVhBRwi4sYq9RoWY4zeDXUw\nZdVOPvUrKbppX8MBx9o9pRj7p2J4Tw04ggkoi1sTzSVVOsMRTFaqr8q1f8BRGMYMR2lVLSV2t/Je\nXbREa1MyU+L5wj/g2BdeHkdFjZO9JdUMjfeb4QgzYOkM8rJSOFBRy6Q9L8LvFkF8IqsH/NO7v8Hf\nwZ5yoo4Eb6K5Uu1SYpo1s6FiSrh3KQ9SP+D4CVan7SWApzTJMKyytN8CiyIZoGobS9cVUuP03Rhv\nKizH7TY4HPXX/a72SxgfpgFHUMnxfjkc0ZzhsHM4tAdHw3LSExGxGgOHs6RqpyaMhyUzOYHtJpcq\nk0Cy1FozHGHYvM+aJfUmjHfpoxVpgsjLTGLNbthTnQimEpyVJGz7DzCEATlpAU0YA3hmOPKPhAT9\neVZKta6wAg5jzAP+X4vI5VilY482xnxfZ9+RwEfAxgjHqNrA+6v2BnxdWetiT0lV0LXsqzTgaFJ8\nnIN4h+B0m5bJ4dCE5gbFxznISU9iX2l1WL04NhWWex/36abrh5uSkZyAGwcbTS9GyFZwhZc0vrGw\nDMHNEE8Ohy6nCiovy/odvKBqDL9IegWAIw99DAxpeDlVRbFf/oYup1JKtb5Ik8bvAp6uG2yA1RAP\neAa4J8JrqFZW7XTx8VorSdy/kElDy6pW77YCjj7dUsls6N015e3FUR3NKlXVOsMRih6ZVuJ4ODMc\na3b7AunDNTepSZkpVtB7Z+21rL/yO7j0jbCev2lfGb2kiHSx/420QlVQ+XZZ5x2mO9U9rNZQkxxf\nkUhtwwnjqd3gjk1w4woYe11rDVUppbwiDTgGAfsb2V8EDIzwGqqVLd+0nzL7RvbMEfne7ZsK6wcc\nTpebtfaNmSaMNy7JDjgqozTD4XYbKuxzacDRuB4Z1k1aYRhJ456AIy0xjt5ddYajKZ6lPKtNPw6Y\n8Etjbywso9B05RLXHNxn/QEOPzvaQ4wJeX45SR/KBAAypYLjHd83PMMB1rtHOYOga9+Gj1FKqRYS\nacCxHZgmIvXWc4hIAjDNPkZ1IB/4VaeaNdEXL27aV17v2M1F5VTbuR6aMN44Ty+OaC2pqnK6vMn6\nqZo03qhc+yatuLyG6hBzaNbuKQVgSF5G0NwlFSjTr/9JqZ1sH45N+8qoIYFDOaNxHHMV9Dw6msOL\nGf6NK3+z9TDv48vTVzC6b9e2GJJSSjUp0oBjLjAe+FREponI0fbHJcCnwFj7GNVBuNyGJaut/I2h\neRmM6JVFrt3HINiSKk0YD52nUlW0Ag5PhSqANC2L2yjPkiqAwhDyOA5V1HqTxnU5VWj8k5VLqmqt\nLP1DO0N6rtPlZotdWntQrjYObUy+X8Cxk+58y2AATuYrEk2Qn21XrVU+Vyml2lBEAYcx5k/AncAR\nwKvAV/bHq/a2e+xjVAexctsBisqsZM/Jw62ungO7WzcAwQIOT8M/gOE9G5nOV94cjmh1Gq+o9gUc\nOsPRuIDSuKVN53Gs2aP5G+Hy5HAA5K9/FZ4YBnNHQFVJI8+ybCuuoNZlTdd5ft+o4PrnpHF4fiYO\ngcvG9mHQyVcCIDWl8NmT9Z+w/Qt4tDc8dwJsXdbKo1VKKUvEdynGmMdF5M/A6UA/e/MW4ANjzMFI\nz69a1/s/+JZTnT7c6tg8MDeN/27ez96SakqragPeyfQkjHdLSwx4F1nVF+0lVeU1vmUraZrD0Sj/\nde+hVKrShPHw+ReMqHQKlO6yvtj+JQw+rdHnbtpXThdKmZf4W9ILT4W9V2mX8QbExzlYdONxVDvd\npCfFQ3U/+OoZKN0NFUFSKrd/AcZtdRpPTGv18SqlFESp07gdWIRXkkS1O8YY3l9tBRwFXVO8SeD+\n7zhu3lfOkb27eI/3lMQd3jMTEV3n3pjoL6nyBRypWha3Ubl+wXAolar8A46heRktMqZY4x9wrEse\nySmeL378rMmAY2NhGeMdqznKsRnWb4ZhozXgaERCnIOEOHuBQlIGnPsMJHeBgtH1D/b030hIhR4j\nWm+QSinlJ9IcDgBE5DARmSUis0Wkv70tSUQGiIi+7d1BFJfXkBxv3RSfMTzPG0AM8As4/JdV7T5U\nxcGKWkDzN0LhDTic0VlSVe63pEo7jTeuR9gzHFbCeN/sVO1xEqJ0v6TxH+kJad3tL5Y3+dyNhWWc\n4PCrrj7gpGgPL7YNOjV4sLF5KWz9zHrcazTEadlypVTbiOgvqVh3pE8BP8cKXgxWsvgWIAH4BngA\neCKiUapWkZ2exJJbT2LTvjKS/DpjD+zum4b3DzgCGv7pspMmtegMhy6palS31ERv48XCJmY4nC43\n6/daAcfhefpzHao4h5CeFE9ZtZOSaif0nQCrF8LOFVBb2Wh36037yrjZ8YP1RfehkNmzlUYdoyqK\n4b174LvXfdsGT2678SilOr1IZzh+CVwP/AGYBHjX1BhjyoC3gHMjvIZqZQO7p1Pg13egZ1aKN/9g\ns19pXP8KVZow3rRkO4irrHVhPPVsI+BfpUoDjsY5HOKttra3iaTxrft9pZ41fyM8ntK4JZVO6Huc\ntdFdCzu+avA5xhiqCzfR12E1G2XAxJYdZKwrXAOP9fcFG+KAsbNg3Ky2HZdSqlOLNOD4GfCGMeYO\nrNmMur4Hu2af6rAcDmFATv1KVZ4KVSkJcfTP0WTEpnhmOIyBGlfky6rKA8ri6rKfpnh6cTS1pGq1\nvZwK4PB8zd8IR2aKtWSntKoW+oz37WhkWdW+0mqOcvr9+RhwcksNL/a5nPC3C31f9xgB13wIUx7V\n5VRKqTYVacDRH/i4kf0HgG4RXkO1AwPt2vhbiypwutwUllSxdP0+AEb0yiROG6M1KcVvFiIapXEr\nqnVJVTg8VdSaShrXClXNl+GZ4ahyQo/hkGTPfP74WYPP2VhYxnH2ciq3xEG/41p8nDErLh4uegkG\nnQaTHoJrl1q5G0op1cYifVu0BGistelgYF+E11DtgCePo8blZseBSl75/Edq7GUnl4/r25ZD6zCS\n/fJiqmtdkBLZO446wxEeT+J4aZWTihpng71LPAFHRlI8BV0bzjtQ9XkqVZVW1YIjDvqMgw3vW5WS\nnDUQn1jvOZsKD3G2YxUAFd2PJj1JZ5Ui0vtYuPzNth6FUkoFiPQuZSlwpYj8vu4OEckFrgYWRXgN\n1Q74l8b9Yst+Xv3iRwAG5KRx9hGa4BmKpATfLERlFBLHdYYjPAHN/0qq6ZfTeMAxND9DSz2HKcM/\nhwNg5IXQ/TArn6OB17L8x6/pKtZSzfjBpwQ9RimlVMcW6ZKqB4DewGfApfa240TkTqycjnjg1xFe\nQ7UD/gHHb99b510SdOMpg3Q5VYiSE6K7pKq8RjuNh8OTNA4NL6sqLq/x5njocqrweXI4alxuqxrb\nEVNh8sMwZEqDOQRbD9Sw0DWBYjJJHnJqaw5XKaVUK4noLsUYs1pEJgF/Bp60N8+xP68FzjXGbIrk\nGqp98E8KLy6vAaweBT85Umc3QpUSEHBEPsNRaZfFTYp3aNAXgoBeHKXBE8fXav5GRDL8enGUVNUG\nBNkN+fhgLq/X3sj4gi7MLzi2JYenlFKqjUT8tqgx5nNghIiMBIZilcbdCHxtolH7U7ULKYlx9OqS\nws6Dld5tN5w8iPi4qPSO7BQ8pYUhOgGHZ4ZD8zdCE7ikKvgMx2oNOCLi3228pNJJrn86hjGw+1vo\neZR3U2lVrXdGaWCPTHDo7xOllIpFUbtTMcZ8j1UGV8Wogbnp3oCjoGsK5x/dq41H1LEkRzuHw57h\n0PyN0HiqVAHsORQ84PB0GHcIDOmhycvhyvQrhFBaVevbsXcVvHM7bP8Cfv6pVcEK2FToK7M9yG/Z\nplJKqdgS0dtJIrJZRP4rIoMa2H+uiGyO5Bqq/fDvOH7DyYNI0NmNsATOcEQhh6PanuHQ/I2QZKUk\nkGhXCgu2pMrlNny74yAA/XLSAsoYq9AELqnyFTWgdDdsWw7GBe/eZc12FG+h6wc3M8nxFRlUeEtv\nK6WUij2R3jH2A44BvhCRYNl+6YDWTI0RFx/Tm8zkeI4blM0Fowraejgdjv8MR7UzCkuq7CpVqUl6\nYxwKESHP2/wvcIbDGMP9b/3ARvsd96N6d2n18cUC/yVVATMcg06Dw6ZYj7d+CgtvhGcn0HfHIl5M\nfIJXEh9hkAYcSikVs6LxFvXdWDkb74rITVE4n2qnhuZl8u3sybxy1VjvO8UqdMlRTho/UGEl73dN\nrd/bQAXnWVZVN4fj8Q/WMf/LbYBVzeqXpx3W6mOLBQEzHJXOwJ2n/xri7J/Vb/4GtRUAfOw6ktsc\nd3iDQaWUUrEnGneNu4ATgX8Ac0XkBRHRNR4xSkRwaEWkZkmO98vhqIks4HC7DQcqrHeQu6VpwBGq\nXO8MRzWemhZ//nQzz3xsFdPLTI7n5auPpXe31DYbY0fmn8NR4j/DAZA9EMZd7/3SnZTJ7bXXMbP2\nToYNGao9T5RSKoZFJTAwxlQDl4nIKuAhYIiIXBCNcysVKwJyOJyR5XCUVNXicls3zBpwhK5HhhVw\nVNa6+HxzMQtW7ODNlTsA69/npZnHMDRPq1M1V4NLqjxOugtqysG4WZR5CQv+VQjA5GE9WmuISiml\n2kBUZyKMMb+xg45XgC+BBdE8v1IdmX8ScqRLqvbbvVBAA45w+FequuTFz72P4x3Cc5ePZnTfbm0x\nrJjR6JIqgMRUOOtxAN566UtrU5yDiUO6t8r4lFJKtY2oL8Q3xiwEjrfPfXu0z69URxWwpCrCgKPY\nP+DQHI6Q9QiSJ3BU7y7831XHMnFIbhuMKLYkJ8R587uCznDYSqtqWb5xPwDHDcomIzl4F3KllFKx\nIdIZjjnAd3U3GmO+E5ExwJ8AfetKKepUqYqwLG6xznA0y9gB3UhPiqeq1sWUkfnMPK4fo/p0beth\nxZTM5HiKymoCy+LW8fG6fdS4rP8Dpw/Pa62hKaWUaiMRBRzGmDmN7CsCpkZyfqViSVJ89DqNBwQc\n6RpwhCo/K4XP7joFxOrLoaIvMznBCjgqG57heH/VHsBqsHia5m8opVTM02pSSrUSh0NIindQ7XRH\nN+DQJVVhyUrVQKMlefI4ShuY4aiqdbF0rZUsPqZvN3LSk4Iep5RSKnaEFXCIyBbADQw1xtSG2EXc\nGGMGNmt0SsWY5IQ4qp3u6OZw6AyHakey7AB458FKyqqdpCcF/plZvqmIcrss9OThOruhlFKdQbhJ\n4z8C2wBjf73N3tbYx7aojFSpGOApjVsVpRyOhDghI0knKlX7MfEwK22vrNrJ/C/q//p//4e93sea\nv6GUUp1DWHcqxpiJjX2tlGqcJ3Hcs6SqqKyapz/ayImH5XDK0NDf7fUEHF1TE7VhmmpXph3bm6c/\n3khxeQ0vfLqZK8b39f7cu9yGD9dYAcew/ExtsKhUhIwxlJaWUlJSQnW1r6GpUqFwOBykp6fTtWtX\nEhJadrlx1MviKqUaluIJOOzGf3M/XM+85Vu5Zf43OF2hz3p4Ag6tUKXam9TEeK46rh8A+0qr+ceK\nHd59b3+7y9tDRmc3lIqMMYY9e/awc+dOSktLcbkiW6qrOp/a2lr279/Pjh07WjxY1bUYSrWiJE/A\nYa9h/3RDEQCl1U4OVdaSHWICrSfgyNb8DdUOXTG+H89/spnSaifPLd3EtGN688POQ9z1plVFPd4h\n/OSonm08SqU6ttLSUg4ePEhycjI9e/YkKUkLMKjwuN1udu/eTUlJCYcOHaJLly4tdq2wZjhExC0i\nrjA/Gi7GrlQnk2yXxq1yuth1sJIf91d49/kngjfFf0mVUu1NVkoCV4zvC1jJ488u3cTPXl5BtT2z\n9/B5I+ifk9aWQ1SqwyspKQHQYEM1m8PhIDfXanrr+XlqKeHOcLyML2FcKRUm/xyO/27aH7Av1ICj\nssblrXKVrUuqVDt19fH9+etnW6iqdfPEkvXe7deeOIBpx/Zpw5EpFRuqq6uJi4vTYENFJCEhgbi4\nOJzOlp0fCDdpfEYLjUOpTsGbw1Hr5vPNzQs49pdXex93S9M/NKp9yk5P4pJj+/DSZ1u92yYN68Fd\nZwxtu0EpFUOMMTgcmoqrIudwOHC7I6ue2eQ1WvTsbUhERojIv0SkxP74l4iMCPG56SLygIi8LSK7\nRcSIyLwGju1n7w/28eeoflOqw/OUxa2sdfHfugFHRWgBx4FyXwfnbmnaxE61X9eeOIDEOOtnfnjP\nTJ6cdhRxDq2qppRSnU3UksZFJB3oQpAgxhjTqr04RGQwsAwoBmbbm28GPhWRY40xG5o4RY79vN3A\nV8DZIVx2IbCgzraNIQ9adQqeJVU1Tjc7DlQG7DugMxwqxuRnpfDC9NF8saWYq4/vT2qi1ilRSqnO\nKOLf/iIyA7gLOKyRw+IivU6YHsH63k4yxmwHEJEFwBrgN8BFTTx/N1BgjNkpIvFAbRPHA/xgjPlb\nBGNWnYAn4Ahmf4gBR0CXcc3hUO3cxCG5TByS29bDUEop1YYiWlIlIpcDfwV2AvcDAswFfgsUAiuB\nqyIcY7hjSgfOAd70BBsA9uM3gXNEpNHyKMaYamPMzmZcO0VEUsJ9nuo86gYcIniXmIQ6w6EBh1JK\nKdW4GTNmICItngzd3k2cOJGJEye29TAizuG4FfiPMeY04AV72zvGmHuBEUAPoLVbyY4EEoH/Btn3\nOZBkHxNttwAVQIWIbBCR60N9oojki8go/w9AMytjkCeHw2NYfiY5di+N4opQJtI04FBKKdX5FBUV\ncddddzFs2DBSU1PJyspi3LhxPP3009TWhvb3U7WdSAOOocA/7cee9PYEAGPMfuBF4MYIrxEuTzep\nYDMUnm29ong9N/Bv4G7gJ8DPgRLgGRH5XYjnuA5YUefj1SiOUbUTdWc4xg/I9vbSKPbLzWiMf8DR\nJVWTxpVSSsW2b775hhEjRjB37lwmTJjA3Llzefjhh8nJyeGmm25i4sSJHDp0qK2HqRoRaQ5HNeC5\n+ynD6tHRw2//XqB/c08uIoI1IxEKtzGmBt+MSrC7tyr7c9SWPdkJ8af5b7OrU30C3CoizxljNjVx\nmueBRXW2DUWDjpjjafznMX5gNmv2WM12/KtPNcYTcGSlJJAQF7OF5pRSSilKS0s577zzqK6u5vPP\nP+foo4/27rvpppt46aWXuOqqq/jZz37G3//+9zYcaeMqKytJSkrqtKWMI/2uNwGDAIwxtcB64ALw\nBgvnAXsiOH9foDLEjw/s53haNwcLVJLtz5VB9kWNMcaFlcfiAE4N4fjdxpiV/h/A2pYco2obKYm+\nGQ6HwDH9u/nNcISXw6FN/5RSSsW6F154gR9//JFHH300INjwmDlzJhdffDH/+Mc/+Prrr+vt37t3\nLxdffDFdunQhMzOTSy65hL179wYcU1RUxA033EC/fv1ISkoiOzub8ePH1wtgKioqmD17NkOGDCEp\nKYnc3FymT5/Ojh07Ao574IEHEBG+/vprrr/+enr06EFaWhrLli1DRHjkkUfqjbO2tpacnBzOPPPM\ngO2LFy/mpJNOIiMjg9TUVCZMmMA777xT7/kVFRX88pe/pEePHqSmpnLiiSfyv//9r+EXtpVFOsPx\nAXC5iNxpjHFjvVP/hIh4ysH2Bx6M4PxFwMwQj/UENrvsz8GWTXm2hZ0Q3gw/2p9zWuFaqoPwX1I1\nolcWmckJ3jyMyloXlTWugKAkGE/A0VUDDqWUUjHudORl6gAAIABJREFUrbfeIjExkSuuuKLBY665\n5hreeOMN3nrrrXpBydlnn03Pnj359a9/zdq1a3n22Wf54Ycf+Oqrr7xd2i+88EJWrlzJ9ddfz+DB\ngzl48CDffPMN//3vf5k6dSoANTU1TJo0iW+++Yarr76aESNGsG3bNp555hmWLl3KypUryckJvOWb\nPn06OTk53H///ZSWljJmzBhGjBjBa6+9xj333BNw7Pvvv8/+/fu5/PLLvdueeuopbr75ZiZNmsRD\nDz2EiDB//nzOOeccXnvtNaZNm+Y99uKLL2bx4sVcfPHFnHjiiXz33XdMnjyZ7OxsCgoKmvfiR1Gk\nAccjwP9hvZPvNsbMFZFEYBrgAl4CHm3uyY0xZcC8MJ/2PdYyr/HAc3X2jbP3/dDcMYVhkP15b6NH\nqU4lKd4XTIwfkA0EJn4XV9TQK7HxFX+eBoGaMK6UUiqYW17/mk37ytp6GAEGdk/nyWn1ZyiasmrV\nKoYOHUpqasM1iEaNGuU9tt51Bw5kwQJfm7Rhw4Zx/fXX88ILL3DTTTdx6NAhPvnkEx577DHuuOOO\nBq/x5JNP8uWXX/Kf//yH8ePHe7dfeOGFjBkzht///vf1Zi7y8vJ4//33A5ZRXXbZZdxzzz189913\nHHHEEd7tr776KmlpaZx77rkA7Ny5k9tvv50bbriBp59+2nvcjTfeyIQJE7j99tuZOnUqDoeD9957\nj8WLF3PLLbcwd+5c77HDhw/n5ptv7vgBhzGmFFhXZ9tjwGORnDcSxpgyEVkMXCAi9xljdgCISG+s\n5V6L7UAGe3s+kAVsspeFhUVEco0xhXW2pWCVCa7Ft9RLKfrl+H5hnnq4le7kHzgcKK+hV5eGAw6n\ny81Bu5qVLqlSSikVzKZ9Zfyws6SthxEVJSUlZGZmNnqMZ3+wxPFbb7014Ourr76ae+65h7fffpub\nbrqJlJQUkpKS+Oijj7jyyivJzQ3eN2j+/PmMHj2awYMHU1RU5N1eUFDA4MGD+fDDD+sFHDfccEO9\nnI1LL72Ue++9l9dee80bcJSVlbFo0SLOP/980tKszg1vvvkmNTU1zJgxI+B6AGeddRazZ89mzZo1\nDB8+nIULFwLUC5iuu+467r///uAvWiuL1bav92Ilcv9HRP5ob7sZa9bl3jrHPgJcibX8a6tno4jc\nSGDn9CNExPOvtsgY8539+HkRyQY+AnZgVcm6EhgA3OPfC0SpoXmZPH/FaIyBY/t3A/DmcEDTzf8O\n+JXO1SVVSimlghnYPb2th1BPc8eUmZlJSUnjwZNnf7DAZOjQwC4DiYmJ9O/fny1btni//sMf/sAt\nt9xCfn4+o0aN4rTTTmPq1KkBy7PWrl1LZWUl3bt3DzqGPn361Ns2cODAoMcdf/zxzJ8/n0ceeQQR\n4a233qKiooLLLrss4HoAxxxzTIPfd2FhIcOHD2fLli1kZGTQq1dgNkFiYiIDBgxo8PmtKRqdxjOA\ni4GBQDes5n/+jDHmukivEw5jzDoROQErcfshe/My4C5jzLqGnxngdqykdY+j7Q+wAgtPwLEYK8CY\nhfX9l2E1PPylMaZu5SmlOH14XsDX2XVmOBpzoMK3X2c4lFJKBdOcpUvt1fDhw/nyyy+prKwkJSX4\nCgBPsviIESOadY1Zs2Zxzjnn8Pbbb/PJJ5/w/PPP89vf/paHH36Ye++13qc2xjB+/HgefDB4anJy\ncnK9bQ2N9/LLL+e6665j2bJlnHDCCbz22mvk5uYyadIk7zHGGAD++c9/kpGREfQ8Rx55ZFjfZ1uK\nKOAQkZOxundnUT/Q8DBYfSZalT0DMSWE42YAM4Js7xfidf4C/CW80Snl4z9T0dQMx/4ybfqnlFKq\n8zj33HNZtmwZf/vb3/jZz34W9Ji//MW6DTvvvPPq7Vu7di0TJkzwfl1TU8OWLVs49thjA44rKChg\n1qxZzJo1i8rKSiZNmsTs2bO57bbbSEpKYtCgQRQXF3PaaafVvUTYLrroIm666SZeffVVhg4dypIl\nS5g1axbx8b7b8kGDrFTg/Px8xo0b1+j5+vfvz/vvv8/OnTsDZjlqamrYvHlz0OperS3SsrhPAU6s\nGY7eQEaQj8YX3inVydXN4WiMf+lcXVKllFIq1l177bX07t2bu+++m2+//bbe/ldeeYX58+dz4YUX\nBr2xfuKJJwK+/stf/sKhQ4c4++yzAaucbEVFRcAxKSkpDB06FKfTSVmZlfZ76aWXsm7dOubNm1fv\nGsYY9u3bF/L31LVrV6ZMmcI//vEP/va3v+F0OgOWU4GVjJ6QkMCvfvWroJ3UCwt96cM/+clPAPjd\n7wL7TT///PNNLkdrLZEuqRoI3GeMWdDkkUqpoPxzOIormgg4dEmVUkqpTiQzM5O33nqLKVOmMHbs\nWKZPn84xxxxDTU2NtzrThAkT+POf/xz0+Zs2beKss87izDPP9JbFHTZsGNdeey0A69evZ+LEiVxw\nwQUMHz6czMxMVqxYwUsvvcQZZ5xBdrZVUfLWW2/l3XffZebMmbzzzjscf/zxJCQksGXLFhYuXMjU\nqVN5+OGHQ/6+LrvsMhYuXMjs2bMZOHAgY8eODdjft29f5s6dy4033siRRx7JtGnT6NmzJ7t27eLz\nzz9n1apV/Pij1YFhypQpTJkyhSeffJI9e/Zw0kkn8e233/LGG28EzSNpC5EGHBuBxpsGKKUalRjv\nICMpntJqJ8VlTQQcuqRKKaVUJzNq1Ci+//57Hn/8cd5++21eeeUV4uPjGTZsGH/84x+57rrrSEwM\n/jdx8eLF3Hrrrdx7770YY7jgggt48sknvTkXvXv35sorr+Sjjz5iwYIFOJ1O+vTpw69+9Stuv/12\n73mSkpJYsmQJc+fO5bXXXmPx4sUkJCRQUFDA5MmTA3pihOKcc87xJsT/8pe/DHrM9ddfz5AhQ3j8\n8ceZO3cu5eXl9OjRg6OOOopHHw3sOrFgwQLuuece5s+fz6JFixgzZgwffPBBo6V+W5N4klKa9WSR\nacCvgbHGmKKmjlehE5FRwIoVK1Z460ur2HXS7z7mx/0VHNu/G3+/bnyDxz2waBXzlm8FYPWDp5Oa\nGKuF5pRSSjVm40arx7Jnrb9SzRXKz9LKlSsZPXo0wGhjzMpwrxFpH47XRSQJWC8ibwHbsUrP1jnM\nPFT/2Uopj66pify4v6LJHA5PUnlygkODDaWUUkp1CJFWqRoJPIzVr2JGA4cZfKVplVJBeJZHFTeZ\nNF5tHZ+qy6mUUkop1TFE+hbps1jBxi+Az4CDEY9IqU7IE3AcqKjB7TY4HMGrTBeXW5UquqVrwKGU\nUkqpjiHSgGMU8GtjzB+bPFIp1SBPwOE2UFJVS5cGZjC8MxxpSa02NqWUUkqpSETah2MXUNHkUUqp\nRvmXxm2o+Z8xxrvkqltqQquMSymllFIqUtFo/DdTRIL3bldKhSQ7hOZ/ZdVOal1WVTmd4VBKKaVU\nRxHpkqpSoBZYKyIvA9uoX6UKY8xfI7yOUjHNv2t4Q4nj/tuzNYdDKaWUUh1EpAGHf1vH+xo4xgAa\ncCjViG4hBBz+S626apUqpZRSSnUQkQYcJ0dlFEp1cgEBR0XwgMN/qZV2GVdKKaVUR9HsgENEBPga\nqDHGVEVvSEp1Pv59NRrK4divS6qUUkop1QFFkjSeBBRj9eBQSkUgMyWeOLv3RkNVqop1SZVSSiml\nOqBmBxz2rEYRVuK4UioCIuINIhqa4dhUWOZ9nJupVaqUUkop1TFEWhb3n8BPozEQpTq7bmlWb41g\nSePGGJZtLAJgWH4mmcnah0MppVTsW7p0KSIS9CM5Obmth9eqiouLeeCBB1i6dGlbDyVskSaNvwC8\nLCLvAc8Am4HKugcZYzZHeB2lYp4nETxY0vimfeXsPmSlSh0/OKdVx6WUUkq1tauvvpqJEycGbIuL\ni2ubwbSR4uJi5syZA1DvtWjvIg04VtqfRwCTGjmuc/1EKNUMnoDjQHltvX2f2bMbAMcP0oBDKaVU\n5zJu3Dguv/zyFjl3eXk5aWlpLXJuZYl0SdWDwBz748FGPpRSTfAEHGXVTqqdgf0zP91gBRyJ8Q6O\n7d+t1cemlFJKtWd79uzhmmuuIT8/n6SkJAYPHsyDDz5IbW3gm3gzZsxARNixYweXXnop2dnZFBQU\nePdXVFQwe/ZshgwZQlJSErm5uUyfPp0dO3bUu2ZRURG33HIL/fv3Jykpifz8fM4//3xWrVrlPWb+\n/PmceeaZ9OrVi8TERHr37s2NN95ISUlJwLlcLhePPfYYw4YNIzU1lczMTIYPH87s2bMBa2nZ4MGD\nAZgzZ453WdmMGTOi9RK2qIhmOIwxD0RpHEp1eoGlcWvJy7ImBmtdbj7fvB+AMX27kpygE4ZKKaU6\nl7KyMoqKigK2paenk5yczIEDBxg/fjw7d+5k1qxZDBkyhA8//JDZs2fz3XffsWDBgnrnmzJlCgMH\nDuThhx/23vzX1NQwadIkvvnmG66++mpGjBjBtm3beOaZZ1i6dCkrV64kJ8daZbBv3z7Gjh3Ltm3b\nmDFjBqNHj+bgwYN8/PHHrFixguHDhwPw3HPPkZeXxy233EKXLl34+uuvefHFF/n+++/55JNPvON5\n6KGHmDNnDjNmzOAXv/gFNTU1rF+/3puvcfjhh/P4449z++23c/755/PTn1op1AMHDoz6a90ijDH6\n0Q4/gFGAWbFihVGdw1+XbTZ971ps+t612Kzaeci7/aut+73bn/l4QxuOUCmlVHuxYcMGs2FD7P9N\n+Pjjjw0Q9OOpp54yxhhz5513GsC8/vrrAc/9+c9/bgDz3nvvebddeeWVBjAzZ86sd63HHnvMxMfH\nm+XLlwds//rrr01cXJy5++67vduuvvpqA5i333673nncbrf3cXl5eb398+bNM0DAdY466ihz5pln\nNvpabNiwwQBm9uzZjR4XrlB+llasWOF53UeZZtzXRprDgYjEAVcB5wL97c2bgbeAecYYV0PPVUr5\nBHQb96tU5VlOBXDCoO6tOiallFId1Fd/hRXzmj5u2muQ5VtSxLt3w7bljT8nMR1m/itw2ys/hYqi\n4MePngFjrmp6LI249dZbmTJlSsC2oUOHArBo0SIGDhzIxRdfHLD/nnvu4bnnnmPhwoWcfvrpAftu\nvvnmeteYP38+o0ePZvDgwQGzKQUFBQwePJgPP/yQRx55BLfbzYIFCzj++OM5++yz653H6o1tSU1N\nBcDtdlNaWkptbS0nnngiAP/73/8YP348AF26dOGHH35g1apV3tmRWBJRwCEi6cD7wDis6lRb7F0T\ngTOBmSJyujGmPJLrKNUZBAQcfpWqltkBR5fUBIb3zGz1cSmllOqASvfC7m+bPs5VpzLigS1NPy8p\nq/62wtVQurvhsUTo8MMP57TTTgu6b8uWLUyaVL92UZ8+fUhPT2fLli319gVbirR27VoqKyvp3j34\nm3t9+vQBrOVUhw4d4ogjjmhy3F9++SX33Xcfy5Yto6qqKmDfwYMHvY9/85vfcO655zJixAgGDRrE\nySefzHnnnceZZ57Z5DU6gkhnOB4AxgN3A380VjNARCQJuBl41D7mjgivo1TM6xqQw2H9ASitquXr\n7dYvpOMG5uBwSNDnKqWUUgEyekD+kU0fF5cY+HXX/k0/LzG9/rbcYZCe2/BY2pmUlJR624wxjB8/\nngcfDF7vKNy+H1u3buXkk08mJyeHhx9+mMGDB5OamorL5eKMM87A7XZ7jx0/fjybNm3i3Xff5d//\n/jdLlizhxRdfZMqUKSxevBiHI9I6T20r0oDjQuCvxpjH/DcaY6qB34nIUGAqGnAo1aTsdN8v/f12\nwPHF5mJcbgNo/w2llFJhGHNV85YxTXm0ede74p/Ne14U9O/fnzVr1tTbvn37dsrKyhgwYEBI5xk0\naBDFxcUNzqR4dO/enaysLL79tvGZoIULF1JRUcHLL7/MSSed5N2+fv36oMdnZGQwdepUpk6dijGG\nO+64g9///vcsXbqUU045JWCpVkcTabiUD3zVyP7/AXkRXkOpTiHYDMcy7b+hlFJKNercc89l06ZN\n9apRPfroo979obj00ktZt24d8+bNq7fPGMO+ffsAcDgcXHjhhXz22WcsXrw46LHga0zoP5MB8Lvf\n/a7ec+pW4BIRjjrqKAAOHDgA4O0V4vm6I4l0hmM3MLqR/WOAPRFeQ6lOITkhjrTEOMprXLz+v21s\nLipjw94yAPpmp9K7W2obj1AppZRqf+666y7eeOMNLr30UpYtW8Zhhx3GRx99xJtvvskFF1zA5MmT\nQzrPrbfeyrvvvsvMmTN55513OP7440lISGDLli0sXLiQqVOn8vDDDwNWzsWHH37Ieeedx4wZMxgz\nZgylpaV89NFHXHLJJUyfPp0zzjiD5ORkpk+fzk033URqaiqLFy/2Bi7+Dj/8cI477jiOOeYY8vPz\n2bp1K3/605/Iy8vj1FNPBSAvL4+CggJef/11DjvsMLKzs+nfvz9jx46N3ovZQiINOP4J3Cwi64Cn\n7KVUiEgicCMwA3gywmso1Wkc2bsLyzftp9Zl+Gzjfu92nd1QSimlguvatSvLly/n/vvv5/XXX6e4\nuJg+ffowZ84c7rnnnpDPk5SUxJIlS5g7dy6vvfYaixcvJiEhgYKCAiZPnsy0adO8x+bm5vLFF18w\nZ84c3n77bV5++WVycnIYP348Y8aMAawlWosXL+bee+9lzpw5pKamctZZZ/HKK6+QmxuY73Lrrbey\nePFi/vCHP1BaWuptInjffffRpUsX73GvvPIKt99+O7fddhvV1dVceeWVHSLgEM+0T7OeLJIB/Btr\nJqMMX5Wq/kA61pKqU40xZRGOs9MRkVHAihUrVjBq1Ki2Ho5qJWXVTv7f1zv5z/p9LN9YRHmNCxF4\n/WfjGDsgu62Hp5RSqp3YuHEjYN3UKhWJUH6WVq5cyejRowFGG2NWhnuNSDuNl4rIccA1wDn4+nAs\nAxZiJZTXNvR8pVSg9KR4rhjXlyvG9aXG6eab7QdJTYxjRK8gJQiVUkoppTqAiBv/2QHFs/aHUipK\nEuMdHNu/W1sPQymllFIqIh27qK9SSimllFKqXQt7hkNEpof7HGPMy+E+RymllFJKKdXxNWdJ1TzA\nAE11HzF+nzXgUEoppZRSqhNqTsAxKYRjugF3YvXoaH4ZLKWUUkoppVSHFnbAYYz5d0P7RCQV+CVw\nG9AF+BdwX7NHp5RSSiml6hERXC5XWw9DxQC32018fMR1pBoVlaRxEUkUkV8Am4GHgO+A440xZxtj\nvo3GNZRSSimllCUpKQmXy0V1dXVbD0V1YLW1tbhcrvYdcIiIQ0SuATYATwDbgTOMMRONMcujMUCl\nlFJKKRUoMzMTgF27dmnQoZrF7XZTWFgI+H6eWkqzwxkRmQbMAQYDa4ALjTH/jNbAlFJKKaVUcBkZ\nGXTp0oWDBw+yefNm4uLicDi024EKncvlwu12k5ycTFZWyzYYbk5Z3LOxlk0dAWwFrgT+ZozR5HCl\nlFJKqVYgIuTl5ZGWlkZJSQnV1dXorZgKR0JCAunp6XTr1g2RporPRqY5MxyLsCpPrQD+AiQAMxsb\nqDHmr80anVJKKaWUCkpEyMzMbPHlMEpFqrlLqgQYg1X2NpR+HK0ecIjICOAx4Hh70zLgTmPMDyE8\ndwxwOXAK0B8oB1YBjxhjPgxyfBxwB3AN0Bsrl+XPwO+MMVpCQimllFJKdVrNCThOjvoookxEBmMF\nGMXAbHvzzcCnInKsMWZDE6e4GzgJeBN4GkgHZgJLROR6Y8yzdY5/CpgFvAQsB44DHsEKPm6I/DtS\nSimllFKqY2pOH45PWmIgUfYI1vd2kjFmO4CILMBKbv8NcFETz/8DcJkxxlv2QUSeBb4Bfi0iLxpj\nnPb2kcDPgT8aY26xD/+ziJQAN4nIc8aY76P4vSmllFJKKdVhxFw5AxFJB84B3vQEGwD24zeBc0Qk\nrbFzGGM+8w827G2VwGKgK5Dnt2sa1rKyuXVOM9fefnEzvxWllFJKKaU6vJbt8tE2RgKJwH+D7Psc\nmG4f83kzzt0TcAIH/baNAfYaY7b4H2iM2SIihfb+RolIPpBfZ/PQZoxPKaWUUkqpdiUWA46e9ued\nQfZ5tvUK96QicjjwU2CRMaaszvWCXctzvVCudR2+XJMAa9asCWeYSimllFJKRZXf/Whyc57frgMO\nsWrtJoV4uNsYUwOk2l8Ha7tZZX9OCXMcWVjLsSqBW+vsTgVKG3hqFRBKrbrnscoN+zsD+PXll18e\nxkiVUkoppZRqMf2wCiSFpV0HHEBfYEuTR1k+ASYCFfbXwQIVT1RWGeoARCQFeBsYAEwxxvxY55CK\nBq7luV6T1zLG7AZ217nuj1iNFbfiC5Raw1DgVeAyYG0rXrcz0de45elr3LL09W15+hq3LH19W56+\nxi2vNV/jZKxg4/3mPLm9BxxFWOVoQ7HH/rzL/hxsKZNnW0NLoAKISCLw/4DxwIXGmI+DHLYLOLKB\nU/QCvg7lWnUZY/YDrzXnuZHwa+C41hizsrWv3xnoa9zy9DVuWfr6tjx9jVuWvr4tT1/jltcGr3HY\nMxse7TrgsHMl5oX5tO+BGqwg4bk6+8bZ+0Jp/hcP/B2YBEw3xixs4NAVwGQR6e+fOC4i/YFce79S\nSimllFKdUsyVxbWDlMXABSJS4NkuIr2BC4DF/knfIpIvIkNFJMFvmwP4G3AucL0x5tVGLvkGVjf1\nX9TZ/gt7+xsRfktKKaWUUkp1WO16hiMC9wKnAf8RkT/a224GXPY+f48AVwL9sfIlAB7H6p/xH6Bc\nROpmbi8xxuwFMMZ8KyIvADeLSAbwGVan8ZnA88aY76L5jSmllFJKKdWRxGTAYYxZJyInAL8FHrI3\nLwPuMsasC+EUo+zPJ9ofdZ0M7PX7+kZgG3ANVuLOTuA+4LHwR9/mdgNzqJPErqJKX+OWp69xy9LX\nt+Xpa9yy9PVtefoat7wO8xqLMaatx6CUUkoppZSKUTGXw6GUUkoppZRqPzTgUEoppZRSSrUYDTiU\nUkoppZRSLUYDDqWUUkoppVSL0YBDKaWUUkop1WI04FBKKaWUUkq1GA04lFJKKaWUUi1GAw6llFJK\nKaVUi9GAQymllJeISFuPIVaJSH8RiWvrccQqETlSRFLtx3p/0wJE5EIROct+rL8rWlgs/RzHzDei\n6hORPBHJtB/rL4YWICJ9RWSoiPRu67HEKhE5TETOFJEJItLX3qY/z1EiIsNE5CsRucPepH8XokxE\njhWRDcCTQPe2Hk+sEZExIrIEeAu4H8AY427bUcUWERkrIp8CfweuBTDGmLYdVWwRkZEicpeI3CQi\nUyG2fo71D0sMEpEMEZkHfAOcDPqLIdpEpIuI/BX4CPgc+FFEnhWRgfZ+/b8VIfs1/j/gP8BfgWXA\n2yIyxhhj9J3iyIlIFjAXGAXcICLdjTEu/fmNDhHpKiKvY/2O2AY8BxS37ahih4jEicivgE/sTU8C\nn7bhkGKOiHSzf4b/C9QAJUBvEdHAOUrse7Y/Y/2euAZ4AnhdRK5v25FFl/5RiTEicgywALgMyAUu\nEpFebTuq2CIip2P98h0HvADcB8wDrgMehdh6V6ItiMhFwErgGOA3wHTgBmAg8BSAMcbVZgOMEcaY\nQ0A2sANIBuZ4drXZoGKEiNwF7AaOBH4GXG2M+f/bO+9ouarrDn/7qQCiFxlJgExvIoAx2BRjmdAJ\n4AWmBEIxEAgmohgMBuNlirFlIKGXZUwPVaHbMYs4mGJWaCEQjGVABgUTUU2TECBUdv7YZ6Sr0XvS\nK3Pmzp35fWvtNW9uGZ3z6bz75txzzr6/dvfPyy1ZWzGG+Ft3CXAMcLG7319ukdqH1JmrteGjgf2A\nB4hrhmgAaRbKvwBbAycB+wI7Ep3ok81scInFayhtUxERd4SB44nG+mNgKPA94N/N7GZ9QRs4ZrYe\ncCbwDtHReNLdZ6Z9w4GdzWxLd3+ivFJWGzMbAxwBPE904J519xlp3x7AV8xsLXd/pcRiVp40irEE\n8Bfgl8C2wMFmdo27P2Nmg3TN6B9mthXwfeI6cQTwlLvPSvuWcvePC8eaRqD7zbHE37lz3H06gJl9\nGfgQeN/dPyizcFXGzG4F9iCuwbcBk9x9lpm9QnwpHg28q/Y7YLYF/gb4LnCju38CkNbJrEtMwXyz\nvOI1Do1wtBezgWeBA9z9DGJ4+UXgO8A6ZRas6hTWDCxPXAROdffH3H2mmQ1N+24FhgFLllHGqlNw\nPBV4CDjd3Z8odDaGA0sDDxY7G1rP0T/cfU76krYR8AfgPMBIoxzqbPSdQlucSFx/VwaWS1/UtjCz\nu4C7zOwWM9sfNN21v5jZEsRUwLvcfXpa4/U0MaXqeeBpM9szHafrRC8p3FH/EbADcK67/7HWYSZG\nQwE2B7XfBrA+MAi4ttDZ6AJWA65397bobIA6HJUlzV0dWtzm7tOAK9z99rTpfeB84KvAXrXsHaJ3\nFB3XLqpp5GI7d3+8dlxhisQM4ndK06l6SQ+OX3f3c939D4XjRgNXA9sQ84cPMrOxxfPEgnR3najb\nvzxxF34Zd3+AGOnYOU1pQ+tkFk0Pbfgj4G7ihs9ZZnYz8CSwNjHV9ZvArWZ2mb4IL5zu2rCZdbn7\np+ntCDMbQbTdD4ATiGmXnwE3EtMxdZ1YCHVteFZ6nZRu+NS+BNeuBY8RazmUDawPLORaPCO9XpgS\neGxETIvfDzjIzCaa2dlpvV2lMf0OVg8zOxbYG5gOPA3c7e7P93DscGJ9wRhi5OPx7o4T89NHx5YW\nMR9LLMAd4e7vNq+01aQnxwWftdc9gJuIRbcPAO8BuwJfIxbY3Vr48iESvW3DZjYFOMvdrzKzrwM3\nE9NRNkl/IJd397c1dWJBFuY4ufs2sb7gz8TI0cPuPsXMViVuBu0PHOzuN5dQ/JZnEX6HEXPfN037\nRgCHuvtraf9oYsT/LeBb7v6i2vCCLOo63M1hyXA3AAAR10lEQVTxmxLJUv7T3XdvbmmrySLa8ReA\nK4G9gCnASOAF4DpgFrAVcCDRif6Ju79T2Xbs7oqKBNEQ7ydGLu4mho5nEF/AxgKD03FWd972wCfA\nFcCKaVtX2fVpxeiD4wX8AXcCfyTmFA8quy6tGn11TExhOxQYBQxN29YH7gMmAxuWXadWir5cJ4gv\naROBwwvnjyemZ94NvEzMjy+9Xq0UvXBcbKeXEmlEh9Z9xqZEYoSnyq5Pq0Uv/C6WjjuFGFGeDlxQ\nOL/m/7i0f1zZdWq1GMD3CQMmAU8BK5ddj1aOPrTjL5JGPdM1YTNgSNo3jOiQTAV2K7tOA/JRdgEU\nffjPggNSwz2IuOsIsdjoOeAlYOcezluS6GxMBfYsbNeX4gY4JqZRLU58+b2xh8+1XGWuWvTTcf0f\nvcWIzD9zgH3kuH9+U9t9l/k7HAcCHxOdjjuANWp//BS9drxL2mb1X8qY15EeQqTJnQOMKbtOrRS9\n8Ltb2jaUGMGYA/wobRtccLwUMA0YX3Sv6P/fuvR6HbGWY1jZ9Wjl6O11onD80cBJhfdGrO/Yihjt\n+F7x/6Fqobl31eIw4pf8Tp+XfeN+4u7ZaOC7ZrYmzD+v0mNh6FVEh+Nwi4fVjQGOMbMVmlmBCtBn\nxx4pcEcQdyl+VfsgM1vFzPZMx1Rv+DMf/XHsde9nAB+lc5ctHiN675cYNZoGvGdma1nk278JeIP4\nAzfN3Sd7ysQm5rIoxyeY2ZoevA3zXy/SlIiZRDalOYCmBM7PovweZ2breayf+37af6SZDXP3WT4v\nLfmo9LoCKF15Hf39Wwdx7R1FrA8VPdOb68QaMDfL6L5Euv25eCTvcOLm0BppWyXbsTocFaDQeZhG\n3MX91BIemWaeItLg7kQ02LkNsrYg0d2fAy4EdgHOJtZ1XExkoeh4BuI4sQPxBe1pM1vW4lkdVwL3\nmNmuzatJ69Kgdlx7vwYwjhjaf6C5NWlN+uh3v3Ts+8Rd4FOBZ4AvE2lcdyfmaR+a1nUI+teGC8zt\nELu7p5s++xMP+3q7CcVvefrod28Ad7+BGIlbBTjPIhECZrYScYd5FnBDk6vSsgzwOlw798n0Ogqx\nAH10XMtW9yGRhXEdM9sybfO0xuNgIiHCjc2uSyNRh6MCFL7YvgeMNrOvpLu5Vjjmp8D/AvuZ2QaF\n7bU7w8sQd9OMaLwGjHX3CU2pRIvTX8c2L3PHTsTUlLWBc4B7iRGPv3Y9iAoYkGMrtOPlzWwb4IdE\nOtfLgDdqHZJOpo9+97V4pkwX0bFYjZh2uQexCP9lYtrEfxBZrAQNa8PLpTZ8GjHd9YI0Ct3x9NHv\nPma2cdp8OjCBePjfA2b2c2LtzCnE3PkXdI0IBvh9onbuRGJUboEZFaJf1+JaO/5nYGPgSjPby8y+\nTTz363DgdmBilduxGkkFKPwyP0D0gHeG+e461L70/gT4ErBh3flrEplS/omYVnWwu2/u7r/LX/pq\nMBDH6dx1iakRNxAduuPdfRN3f7gZ5a8C/XWc7vJ8MX2JuIS48O4JHOful6Y7Rh0/naoffsd4PIBu\nPLFgcby7v+jun6XzJrj7Tu7+YhOr0dIMsA2PNrMriTY8gbhJcZy739W8GrQ2/fC7Tto/iehsnEas\n79qWcH+cux/u7lN1jQgG+n0i4cRDQzctniuCAbTj24mO8vpEEpqLiQc5j3P3Y9x9WqXbsbfAQpJO\nD/qwAAj4fYrN03sr7FudeCLlRcXPJYaa3yHuBnfkwtpcjtO2FYjOxhzi4WmVXNDV4o5HEhnAHiVG\nNzquHWfwe0l6P7jsurVKNKENTybSYp6hNtw4v9QlQAFWK7uubei4q+7cwzuxDed0nLYtBmwCbEek\nf28bxxrhKBGLRcVdRBaCRR1b+786k/RMDTNb2t3dzIakfe8TcwbXsngw0hwAd58CrOXu4zy16E4h\nt2MzG+Tu7wN/C6zh7qd4h93taYLjLo+nre4I7O7u53RSO87od43kdlY3H9VRNLENbw/s6O5nqQ33\neGx//tbNLp7r7q83ug6tTrO+T9Sm9Lj7tZ3UhiG/Y4iEKO7+P+7+kLvf306O1eEoATPb1MzuJeaW\nvgTcbWbdDVvOpdB5uJN4/sDRxLMJ8PkzyIwEJnnKhFI4f1pja9HaNMtx4dwJnh441Sk00bGn/f/n\n7lMbXpEWpdltuBMpoQ2/6rE4tCMo4Trcce25BMdt8wW4t+ha3BjU4WgiZjbUzM4AHiFSeT5FLL4a\nC/zCzDbr5hwr/Dwi/Xg0MQz3MzM7yMxGmNlawA+IByDdBx17YWi249k569OKqB3npdl+OxG14byo\nDedHjvMjxw2m7DldnRLEENwxRFaC8cQUp9q+g4n5/yf2cO4yRErbvwAbpG3fAH6dznsbeAGYSaRa\n69Q1BHIsx5UO+ZXjqof8ynE7hBw3PgYjmsXiRFaSycC5nobVzWww0QhfI3Lg16dQPJLIZPAZkW71\nLQB3f9jMHiUeLLMqkUt/H+/sjDJynB85zov85keO8yK/+ZHj/Mhxoym7x9POQaHXSkxf2wIYVmuX\nhX3DiMZ7G4WMMcQTJycBFxFpV7u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"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from sklearn.linear_model import LinearRegression\n",
"\n",
"# train model and get predictions\n",
"mod_lr = LinearRegression()\n",
"mod_lr.fit(X_tr, y_tr)\n",
"pred = weekly_forecast(mod_lr, exog_val, y_init_val)\n",
"\n",
"# compute error, and plot on both long and short time scales\n",
"print('MAE:', compute_mae(y_val, pred))\n",
"plot_full(yp_full, pred, yp_val.index)\n",
"plot_week(yp_full, pred, yp_val.index)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Linear regression performs better than the baseline, but qualitatively does not appear to fit the data very well. In particular, the forecasts don't appear to be much more than a slightly meandering sine wave. What is likely occuring is that the sine/cosine transform of hour of the day is being given significantly more weight than the other features, and in fact of one checks the coefficients of the fitted model this is the case."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\n",
"#### Gradient Boosted Regression"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The GBR model has a few important hyperparameters which must be tuned: learning rate, number of estimators, and maximum depth being the most important. For each of these hyperparameters, three values are chosen based on intuition and which are near the default parameters."
]
},
{
"cell_type": "code",
"execution_count": 45,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" lr | \n",
" ne | \n",
" md | \n",
" mae | \n",
"
\n",
" \n",
" \n",
" \n",
" 14 | \n",
" 0.1 | \n",
" 500 | \n",
" 4 | \n",
" 0.044954 | \n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" lr ne md mae\n",
"14 0.1 500 4 0.044954"
]
},
"execution_count": 45,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from sklearn.ensemble import GradientBoostingRegressor\n",
"\n",
"# train GBR model, and get validation set performance\n",
"def get_gbr_mae(lr, ne, md):\n",
" mod = GradientBoostingRegressor(learning_rate=lr, n_estimators=ne, max_depth=md)\n",
" mod.fit(X_tr, y_tr)\n",
" pred_val = weekly_forecast(mod, exog_val, y_init_val)\n",
" return compute_mae(y_val, pred_val)\n",
"\n",
"# define potential sets of hyperparameters\n",
"learning_rate = [0.01, 0.1, 1.]\n",
"n_estimators = [100, 500, 1000]\n",
"max_depth = [2, 3, 4]\n",
"grid_search = pd.DataFrame(columns=['lr','ne','md','mae'])\n",
"\n",
"# perform grid search\n",
"for lr in learning_rate: \n",
" for ne in n_estimators: \n",
" for md in max_depth: \n",
" mae = get_gbr_mae(lr, ne, md)\n",
" params = {'lr':lr, 'ne':ne, 'md':md, 'mae':mae} \n",
" grid_search = grid_search.append(params, ignore_index=True)\n",
"\n",
"# display best hyperparameters based on grid search\n",
"grid_search.sort_values('mae').head(1)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The best hyperparametres are recorded, and the final gradient boosting model is trained. Its forecasting performance is visualized, and the MAE is computed."
]
},
{
"cell_type": "code",
"execution_count": 46,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"MAE: 0.0449469987432\n"
]
},
{
"data": {
"image/png": 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x24yx6Ao/Ll/NF+A8gMaMsdamG0vuNyp53JYHAdwP4CqAGJMfAHil5PZ4sQMm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liXcNvhG7JoTE/+tO/0nMUxc2jrn0MP19SddP8YzexEvpK6i2Vfu6bJRJ6MjeG/sWktv4hPHcil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\nvk8d3c6d/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"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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G83CA0XHcZBXbeKOxZzzNSohVpSppOFWgHyLhuNDMQm7+l5Xg0FpfDTQA7wHW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PimcUVRwj0cYypzmLUPu4yTmps7yGrIThgh5EJq2bY2/u+tjQBMqC7ixOk1pqsIefxBCvanCkeU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\nDvBO4ELgJ8DLgHmkzse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"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# best hyperparamters\n",
"lr, ne, md = 0.1, 500, 4\n",
"\n",
"# train model and get predictions\n",
"mod_gbr = GradientBoostingRegressor(learning_rate=lr, n_estimators=ne, max_depth=md)\n",
"mod_gbr.fit(X_tr, y_tr)\n",
"pred = weekly_forecast(mod_gbr, exog_val, y_init_val)\n",
"\n",
"# compute error, and plot on both long and short time scales\n",
"print('MAE:', compute_mae(y_val, pred))\n",
"plot_full(yp_full, pred, yp_val.index)\n",
"plot_week(yp_full, pred, yp_val.index)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The GBR model performs much better than linear regression. In particular, it captures the daily peaks and valleys very well, at least in shape."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\n",
"#### Multi-Layer Perceptron Regression"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"This projects studies the use of the most general type of neural network, a multi-layer perceptron (MLP) model. In this, the number of hidden layers, number of neurons per layer, regularization, learning rate, and maximum number of training iterations per epoch must be specified. Clearly, there are significantly more hyperparameters compared to GBR. A small sample is chosen to perform a grid search over for this project."
]
},
{
"cell_type": "code",
"execution_count": 67,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" hl | \n",
" a | \n",
" lr | \n",
" mi | \n",
" mae | \n",
"
\n",
" \n",
" \n",
" \n",
" 99 | \n",
" 500 | \n",
" 0.001 | \n",
" 0.0001 | \n",
" 10000 | \n",
" 0.050914 | \n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" hl a lr mi mae\n",
"99 500 0.001 0.0001 10000 0.050914"
]
},
"execution_count": 67,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from sklearn.neural_network import MLPRegressor\n",
"\n",
"# train MLP model, and get validation set performance\n",
"def get_mlp_mae(hl, a, lr, mi):\n",
" mod = MLPRegressor(hidden_layer_sizes=hl, alpha=a, learning_rate_init=lr, max_iter=mi)\n",
" mod.fit(X_tr, y_tr)\n",
" pred_val = weekly_forecast(mod, exog_val, y_init_val)\n",
" return compute_mae(y_val, pred_val)\n",
"\n",
"# define potential sets of hyperparameters\n",
"hidden_layer_sizes = [(100,),(500,),(100,10,),(100,100,)]\n",
"alpha = [0.0001, 0.00001, 0.001]\n",
"learning_rate = [0.0001, 0.001, 0.01]\n",
"max_iter = [200, 1000, 10000]\n",
"grid_search = pd.DataFrame(columns=['hl','a','lr','mi','mae'])\n",
"\n",
"# perform grid search\n",
"for hl in hidden_layer_sizes: \n",
" for a in alpha: \n",
" for lr in learning_rate:\n",
" for mi in max_iter:\n",
" mae = get_mlp_mae(hl, a, lr, mi)\n",
" params = {'hl':hl, 'a':a, 'lr':lr, 'mi':mi, 'mae':mae} \n",
" grid_search = grid_search.append(params, ignore_index=True)\n",
"\n",
"# display best hyperparameters based on grid search\n",
"grid_search.sort_values('mae').head(1)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The best hyperparametres are recorded, and the final MLP model is trained. Its forecasting performance is visualized, and the MAE is computed."
]
},
{
"cell_type": "code",
"execution_count": 58,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"MAE: 0.0554203081569\n"
]
},
{
"data": {
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L/gXgTgBXAcSa/ADA8+WPp4gdMCHuxJ0z+RDlmr0nDABQpNUjOcdih3Odl1VI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\nwYV87dT57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"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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fRWRKVUlBHsfNMvbN2ZBDPhWxi8bHs8S1qbWcqqSGIzn8gSAfvfcFtjaZ5nOv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\nKFInFLYe7U6w9mAIIajy2Uc4wuXjiAj5mxAjFQ4AngSuUxRl6sAnFEU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3Av8A2Ln5EWhBAhIcSPhBDThRAe9e+PhBAh0zoNQghFCHH1EK/fJIQ4TwhRod7OM1VG0l53WOOK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\nhMiGGhxCCCGEEEKIbPw/vVeKSwidpJ8AAAAASUVORK5CYII=\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# best hyperparamters\n",
"hl, a, lr, mi = 500, 0.001, 0.0001, 10000\n",
"\n",
"# train model and get predictions\n",
"mod_mlp = MLPRegressor(hidden_layer_sizes=hl, alpha=a, learning_rate_init=lr, max_iter=mi)\n",
"mod_mlp.fit(X_tr, y_tr)\n",
"pred = weekly_forecast(mod_mlp, exog_val, y_init_val)\n",
"\n",
"# compute error, and plot on both long and short time scales\n",
"print('MAE:', compute_mae(y_val, pred))\n",
"plot_full(yp_full, pred, yp_val.index)\n",
"plot_week(yp_full, pred, yp_val.index)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The MLP model also performs better than linear regression, but not as well as GBR. In theory, MLP has the capacity to make extremely accurate predictions, but in practice it can be challenging to properly tune a model. It is expected that a more extensive grid search over a better selection of hyperparameters would yield a more accurate model. "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\n",
"## 5. Evaluating Final Models"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The predictions from both the monthly and hourly models are combined and evaluated against the test data. The first block of code gets all of the required forecast predictions on the test set for each model. The second block of code adds the hourly and monthly models to get the full electricity demand prediction, and also unnormalizes these predictions back to the scale of the original dataset."
]
},
{
"cell_type": "code",
"execution_count": 59,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"# monthly average forecasts\n",
"train_m = monthly_norm[:'2016']\n",
"test_m = monthly_norm['2017':]\n",
"model_m = SARIMAX(train_m, order=best_monthly_order, seasonal_order=best_monthly_seas_order).fit()\n",
"forecast_m = model_m.get_forecast(steps=len(test_m))\n",
"pred_m_norm = pd.Series(forecast_m.predicted_mean, index=test_m.index)\n",
"\n",
"# baseline hourly residual forecasts\n",
"idx = test.index[::168]\n",
"idx = idx.append(pd.DatetimeIndex(['2017-12-31 23']))\n",
"pred_base = pd.Series(np.hstack([y_init_te, yp_te.iloc[-1]]), index=idx)\n",
"pred_base = pred_base.resample('H').ffill().values\n",
"\n",
"# hourly residual forecasts\n",
"pred_lr = weekly_forecast(mod_lr, exog_te, y_init_te)\n",
"pred_gbr = weekly_forecast(mod_gbr, exog_te, y_init_te)\n",
"pred_mlp = weekly_forecast(mod_mlp, exog_te, y_init_te)"
]
},
{
"cell_type": "code",
"execution_count": 60,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"# dataframe of montly forecasts\n",
"m_norm_df = pd.DataFrame({'m_norm':pred_m_norm, 'month':pred_m_norm.index.month, 'year':pred_m_norm.index.year})\n",
"\n",
"# baseline: combine monthly/hourly forecasts, unnormalize to original scale\n",
"bl_norm_df = pd.DataFrame({'h_norm':pred_base, 'month':test.index.month, 'year':test.index.year})\n",
"pred_bl_norm_df = bl_norm_df.merge(m_norm_df, on=['month','year'])\n",
"pred_bl_norm = pd.Series((pred_bl_norm_df['m_norm'] + pred_bl_norm_df['h_norm']).values, index=test.index)\n",
"pred_bl = pred_bl_norm * (load_max - load_min) + load_min\n",
"\n",
"# linear regression: combine monthly/hourly forecasts, unnormalize to original scale\n",
"lr_norm_df = pd.DataFrame({'h_norm':pred_lr, 'month':test.index.month, 'year':test.index.year})\n",
"pred_lr_norm_df = lr_norm_df.merge(m_norm_df, on=['month','year'])\n",
"pred_lr_norm = pd.Series((pred_lr_norm_df['m_norm'] + pred_lr_norm_df['h_norm']).values, index=test.index)\n",
"pred_lr = pred_lr_norm * (load_max - load_min) + load_min\n",
"\n",
"# gradient boosting regression: combine monthly/hourly forecasts, unnormalize to original scale\n",
"gbr_norm_df = pd.DataFrame({'h_norm':pred_gbr, 'month':test.index.month, 'year':test.index.year})\n",
"pred_gbr_norm_df = gbr_norm_df.merge(m_norm_df, on=['month','year'])\n",
"pred_gbr_norm = pd.Series((pred_gbr_norm_df['m_norm'] + pred_gbr_norm_df['h_norm']).values, index=test.index)\n",
"pred_gbr = pred_gbr_norm * (load_max - load_min) + load_min\n",
"\n",
"# multi-layer perceptron regression: combine monthly/hourly forecasts, unnormalize to original scale\n",
"mlp_norm_df = pd.DataFrame({'h_norm':pred_mlp, 'month':test.index.month, 'year':test.index.year})\n",
"pred_mlp_norm_df = mlp_norm_df.merge(m_norm_df, on=['month','year'])\n",
"pred_mlp_norm = pd.Series((pred_mlp_norm_df['m_norm'] + pred_mlp_norm_df['h_norm']).values, index=test.index)\n",
"pred_mlp = pred_mlp_norm * (load_max - load_min) + load_min"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"With the full predictions for each model, the performance of each of them can now be evaluated. The MAPE is computed for each model below."
]
},
{
"cell_type": "code",
"execution_count": 61,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"baseline MAPE: 0.18664197323794782\n",
"lin reg MAPE: 0.12213760852538987\n",
"grad boost reg MAPE: 0.07225700235063952\n",
"MLP reg MAPE: 0.08684343952929352\n"
]
}
],
"source": [
"def compute_mape(y, yhat):\n",
" pct_err = ((yhat - y) / y).dropna()\n",
" return np.mean(np.abs(pct_err)) \n",
"\n",
"print(\"baseline MAPE:\", compute_mape(df['load'], pred_bl))\n",
"print(\"lin reg MAPE:\", compute_mape(df['load'], pred_lr))\n",
"print(\"grad boost reg MAPE:\", compute_mape(df['load'], pred_gbr))\n",
"print(\"MLP reg MAPE:\", compute_mape(df['load'], pred_mlp))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"All three models perform better than the baseline. The GBR performs best, followed by MLP, and linear regression is significantly worse than both of these. To visualize the forecasting predictions, below are plots of one-week-out forecasts for each model over a span of two weeks on the test set."
]
},
{
"cell_type": "code",
"execution_count": 62,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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MYN68eQwZMoSHH36YxYsXB3zM3Nxcfv31V5f1CiZMmMC9997LoEGDmD9/PjNm\nzGDNmjUMHTrU4eHR8ePHOeecc/j444+58847mTNnDkVFRVxyySUBX1ek87sLulIqBTgbW3fzc4GB\n2IqyKaAQ2/jvr7Al3mu01hUhu1ohRMjt2bPHYWzurbfeStu2bVmzZg2lpaX89NNPDBw40OcEHGDn\nzp1kZWXx888/G+tq79ekSRN++eUXScAbmXvuuYd77rnHYd1ll13GSy+9ZLwePny407jrqVOnctpp\np/H4448b3dhWrVrF8ePHee+99xg8eLCx7cyZMx2OP3XqVOLj49mwYQNpaWkA3HbbbWRlZTF16lQ+\n+ugjLrroIr8/y+bNm/nuu++Mc0+cOJH27duzaNEi4xoPHjzIjBkzmDx5Mk899ZSx75QpUxg2bBgz\nZszg6quvxmIJSYczIUQD9tprrzm8XrhwIRdccAFHjhzhu+++A7wn4ImJibRr1479+/cbCXhRUZER\n/8xd1KFuhnxVVFTwyy+/OKyzWq0UFxc7nE9Ell27drFs2TKuvPJKAO644w4GDBjAokWLmDhxok/H\nsD9kt1qt7N69mwceeICqqiquvfZah+3eeOMNli1bxhtvvMH48eON9TfffDO9e/fmwQcfZOnSpQD8\n7W9/4/Dhw6xcudJIuidPnsxvfvMbNmzYEIqPHnECGQN+EluyrbC1dn9ETcK9XmtdFbrLE0LUtZMn\nTxrLnTp14vHHH2f16tXGuu+++46+ffsaFU59ScB37NhBVlaW0U24c+fODoVgoG5awF1VYY3kBPzl\n7/aydM0+r9s9e8MgWqfWdPv/y7ubWbvnpIc9IDE2mtdvH+qw7sbn13CyyHWX7GvPaM91Qzr4cNWe\nTZ8+nVGjRgFQXFzM+vXrmTdvHpdddhkrVqwgLi7OYQhDaWkpRUVFaK3Jzs52uEG1t5gvX76c/v37\nuxyrnZubywcffMC0adOwWq0OVYEvvPBCAD755JOAEvAhQ4Y4JP5xcXGceeaZDg+W3nzzTcrLy7n5\n5psdzg0wevRoZs2axdatW+nTp4/f5xdCNC7mePvRRx/Ru3dvzjjjDN555x3WrVtHRUWF1wQcbPHW\nnIBv2rTJaH3Oyspy2LYuWsBrf9fZFRQURG4C/v3zsO4F79tNeAWamh5ivP8n2PeN531ik+CWWkOo\nXrwCil3/njj9Zhj0W+/XEmKZmZlG8m03fPhwhwfk3tR+yJ6YmMhDDz3ElClTHLZbunQprVu3Jjs7\n2+HvxR40C202AAAgAElEQVRHP/nkE2Pdu+++S48ePZxavO+55x4jSW9sAknA38aWbH8J/Kilv4kQ\nDdqvv/5qLD/88MMkJiYyaNAglFJorVmzZo3Dl6IvCXhOTg6VlZX8+OOPgPMNAdRtAp6ZmWlUhI3k\ncWnH8svYdND7tDAVVY7js/adKPa6X3K889f79iP5HM13nYAfc7PeX7169WLEiBHG60svvZRevXox\nYcIEnn/+ee68807Ky8uZM2cOS5YscSjaBzi0ig8fPpzrr7+eRx55hCeeeIJhw4Zx8cUXc+211xp/\nhzt27MBqtTJv3jzmzZvn+rMFOD2Oq3lUmzVrZvxdA2zbtg3AIVF3dX5JwIUQ9njbokULRo4cCdge\n9L3zzjuUlJSwadMmnxPwTz/9lMOHD1NYWOhQ0K0+EnDzd2pDibcUHIXDG71vV1VrrvRfd3vfL66p\n87pjW6DAuVeecS1h4C6mmR8MeWN/yF5aWsr//vc/5s2bR1VVldNMItu2bePQoUMeC69arVYsFgt7\n9uwxHpibme8rG5tApiG70vtWQoiGwpyAN2vWDLDNG9q7d2+jC675hqB29za7zp07G1OR7dixg5yc\nHEpLSwGMKq1m9puCUBaFsd8UdOjQgWPHjmG1WiO6BTw9JY6+bVK8bhcT5dh9uX3zRK/7JcY6f733\nyEyhZbLrRDs9pe4qgdtbnz///HPuvPNOpk2bxsKFC7nhhhu46KKLaNGiBVFRUSxevJhXXnnFYd8X\nX3yRGTNmsHLlSr788kv+/Oc/85e//IX//ve/jBgxwmj1ueOOO5ye7NvVHhPpq6ioKJfrzc+d7ctv\nvfWWUy8PO1cPoIQQpx57vLXHWrAl4HbmeJuQkOCwnVntQmy+JuChirfmBLxLly5GAh7J8ZbkDGjl\nw3dxVK0K4s06ed8vNsl5XXpvSEp3Xm+/ljBwF9P8YX7IPmbMGFJTU5k5cyZnnnmmQ2ON1ppOnTrx\n7LPPuj3WqTz9Z0DTkAkhGg9XCTjYbgo2b97Mtm3bjIIx4P6JfGxsLB07dmTXrl1s3LjRoUq1pwS8\nLlrAMzIySE5OJi8vL6JvCK4b0iGgbt+zxgbWmrrkt2cEtF+w7IX87P8tli5dSnZ2NkuWLHHY7vnn\nn3e5f1ZWFllZWcycOZN9+/aRlZXFX//6V0aMGEGXLl2M3hrmlvf6Yi+I1KpVK84888x6P78QouFw\nlYAPHjzY+A4zJ+Bt2rRxm6CYWwbN8bZjx47G0B27um4B79KlC6tWrQIiPAEf9NvAun2Peiyw893w\nVmD7NTDTp0/nmWee4Q9/+AMXX3yxUe+ka9eufPHFFwwfPtyYAcWdjh07OhQUtHO1rrHwuyqMUmqX\nnz8/ez+qECJcPCXgYHuKuXz5cmO9uwQc4Oyzzwbghx9+cJhSylULoH2cWKhuCCorKzlx4gQA6enp\nRmtkRHeJO0XY/35OO+00wPYUvva0Jzk5Ofz3v/91WHfy5Emnqrrt2rWjRYsWTl05lyxZ4nJqk7Ky\nMvLzvXfzD9T48eOJiYnhwQcfNB40mAXa/V0I0fi4SsBTUlLo1asXYGsBt0/56SnWDh061Eh0VqxY\n4XG4V10UYaudgIf6+KLhiIuLY/r06WzZsoVly5YZ63/zm99QWFjIww8/7HI/89/QmDFj2L59u9PU\nnU888UTdXHQECKQFvCNQAmwAZPy3EA2cuwTcPhUZ4PCl2L59e7fHGj16tNGqaZ9DvHXr1i73sT+V\nLysro6KiwusTUm/MFVnT09ON40f0E/lGaPXq1cTHxwM1Rdief/55WrVqxV133QXA5ZdfznPPPcd1\n111HdnY2e/fu5emnn6ZXr14OFU+XLFnCggULGDduHF27dkUpxTvvvMPOnTt57LGaVomFCxdy1lln\nMWjQIH7729/St29fioqK2L59O8uWLeO1116rs9bxDh06MH/+fKZMmUJWVhYTJkygdevWHDp0iNWr\nV7N582ance5CiFOTqwQcbPF2y5YtDg8RPcXatLQ0hg4dyqpVq3jzzTeN9a564dRFC/jRozVjmDt3\n7mwsS7ytHytXrjS6/ZsNGTLEqC1Qn373u98xe/Zs5syZw1VXXYVSigkTJvD222/zl7/8hW+//ZaR\nI0eSnJzM3r17ef/99+nTp49R/O3ee+/l5ZdfZvz48UyZMoWOHTvywQcfGHPNN8au6oEk4NuBHkBb\n4EVgidY6x/MuQohIZU7AzV3X+vbtS2JiIsXFxca6Nm3auB2TBraq01FRUVRV1UyGMGHCBJdfnrXH\npdXuNucv89NUexd0kBuC+vbcc8/x3HPPAbaW7latWnHDDTfw0EMPkZmZCcD8+fNJSEjgrbfe4q23\n3qJnz54sXLiQrVu3OiTg2dnZrF+/nuXLl3PkyBHi4uLo0aMH//d//8eNN95obNe5c2fWr1/PI488\nwooVK1i0aBEpKSl06tSJqVOnuhwCEUqTJk2iR48ezJ07l/nz51NUVERGRgYDBgxweFAghDh1lZWV\nUVJSAjgn4EOGDOGFF15wWNevXz+Px7vkkkuMrt92EyZMcNouNjaWmJgYKioqQt4CrpRyKOwl8bZ+\nLF++3KFnot3dd98dlgQ8MTGRKVOm8Je//IXly5czbtw4lFIsXbqU8847j+eff56HHnoIrTVt2rTh\nrLPO4ne/+52xf3p6Ol999RX33HMPTz/9NDExMVx00UW89tprdOvWzWHmlEZDa+33DzAYeAo4DlQB\n3wC3A6mBHE9+PP6uBwJ63bp1Woi6cNVVV2lAJyUlOb13zjnnaGw9XTSgL7nkEq/HGzlypMM+7v52\nZ82aZWyzf//+oD/HRx99ZBxv6dKl+vzzz9eA7tSpU9DHDlROTo7OyckJ2/lF4+HL39K6devs/w8M\n1BEQvxrSj8RaUdcOHz5sxKiZM2c6vLd+/XqHuAnoDz/80OPxNm3a5LD92Wef7XbbZs2aaUCPGzcu\nJJ9l9OjRGtAtW7bUP/30k3ENTzzxREiOHwiJt42PPaa98sor9Xpeb39LoYi1fo8Br07a12qtpwCt\ngKurE/EngcNKqdeVUmOUUsGX2hNC1Dl3XeLA1gJp1r9/f6/HW7hwobHdkCFDjHG/tYW6Mqu5Bdw8\nBlyeyAshhAg3d8O9wNbanZaW5rDOW7zt06cPTz31FHFxthksJk2a5HbbUM86Yo+35lgLEm9F4Oy9\nQ+y01sydO5eoqCine9HGIKgq6FrrCuBN4E2lVEvgN8Bvsc0VPguYE/QVCiHqlKcE/IorrmD27NnG\na18S8C5durB27VpWr15NVlaW27E7oS4MUzsBlzHgQgghIoWnBDw6OprLLruMxYsXG+syMrxPVTV5\n8mQuv/xyDhw44FC3pbZQFz01J+Dmh+kSb0WgzjvvPAYMGED//v0pKSlhxYoVfPHFF0ybNi3gqUQj\nWSinIWsDdAAyAQUUe95cCBEJTp48CbhOwGtXVPV1PuPY2FjOPfdcj9uEujCMuxbwUBV5E0IIIQJl\nj7Xg/oG3OQH3tfBUmzZtPFZMh9BO+6m1dpry006qoItAjR49mldffZWXX36ZiooKunTpwty5c5k+\nfXq4L61OBNQF3U4plaGU+r1SaiOwDrgWW2G2AVrreaG4QCFE3fLUAq6U4sEHHwQgMzOTbt26hey8\noU7A7VVZLRYLzZs3l5sCIYQQEcNTCzjAiBEjjFbvv/71ryE9dygT8MLCQqO7cMuWLYmNjSU2NhaQ\nFnARuAceeIDNmzdTUFBAaWkpmzdv5ve//32jrIAOAbSAK6XigMuBm4CRQAXwDnAf8KHWusrD7kKI\nCGK1WsnLywNwGn9mN3PmTDp37szgwYND2ooc6gT84MGDgO2JfFRUlFO3OE/V24UQQoi6ZE7AXcXb\n+Ph4Pv/8c9asWcPVV18d0nOHMgG3x1qwTTNqP/7JkyclARfCR4F0QT8CpGCrfH4n8LrWOj+kVyWE\nqBd5eXn2CsBuE9S4uDhuuummkJ871EXY9u/fD0C7du0ApDCMEEKIiOGtBRygV69e9OrVK+TnDmUR\ntgMHDhjL5ngrCbgQvgskAW8KlGIb7/0g8KCX7gFaa90hgPMIIeqYLzcEdSXURdjsNwVt27YFiIgu\n6EophznRhQiU1WolOjqUZVuEEPUpEuJtUVERVqsViyXwEaj2h93gHG/DOdzLYrFQWVkZtvOLxsNq\ntRIVVbeTeQUSzb/CNveZEKKBs3c/B2jatGm9njuUXdDz8vKMJ+/2G4JIqMwaFxdHQUEBZWVlxlQx\nQviroqKCqqoq4uPjw30pQogA2eOtxWJxiE/1wXy+4uLioM7vqgU8EmYdiY6OlqKrImhlZWVUVVWR\nmJhYp+fxOwHXWmfXwXUIIcKgtLTUWE5ISKjXcweTgBeWVbL65xNUWm3PAvfv34clPglraaFxQ/Cr\nSiah21AAVu0tpHLTEZfHurB3BhZLTS+eVTuPU1Dq+Sl6cnw0Z3VtYbzWWvPh5qNO28VYK2lqrWTv\n/gOktcwgMSGexNiar93KKitF5d5byONjLMRF1zyNLausorTC6nW/JrFRREfVtHSUlFdSXuX9+WlK\nfLRD4ZPC0gq87WZRkBxfc9OjtSbfy+8RICZKBfY7ibYQF1PzOymvrKIkwn8nAHklFU7bKQUp8a5v\nGK1Wq1FxOCUlxet1CiEikz3exsfH13thqdrxNpgE3NwCbq++bm8BD2cCnpKSQlFREceOHaNVq1ZB\ntfKLU1NZWRmHDh0C6j7eSn82IU5hZWVlxnJ9t64FmoBrrbnqmW/Zetix9ER0s9aUH95htIB/80s0\n6Vf8GYDFObA4Z53L4+U8PAoLNTdDs1dsYdsRzzcRPTOT+WBazTRrVg13vOR8fAWM69mECzqXkppb\nSHJCLIlxNYlWlVVTVOY9SY2PiSI2uuZmorzSSmmF9yS1SVw0UaaHCyUVVVRUek9SkxNiMN8eFpVV\nUmX1nG1aLIqkOMeQku8i2awtJtpCgimRjtjfSXwM5nvmUP5OLEqRFO86HFdVVWG1WomPj6/3XipC\niNCxx9tw9GQJZY8zewt4enq60bMrErqgN23alF9//ZX8/HwKCwvrvAuxaFysVqsxZDA1NdVhGGNd\nkARciFOYuQW8vm8KEhISUEqhtfarMExFlXZKvs3sLeAx0TFAeMeDaeC/24rIOVlBVkYsp7dNpl+b\nmgS8sKyStXtOuj9AtR4ZybRLq+kOdaygjG1HvNe+HNwxjaYJNefbc7yIg7klXvc7v2e6QwvNpkN5\nXnsFNImNZmiX5g7r1vjw2Vo1jadP65rEsqis0qf9umck0970O/mloIytPvxOBnVIIzXR/9/JeT3S\niTL9TjYfyie/1PMDBl9/J3HRUZzTrYXTeoCYmBiSkpJIS0trtNOxCHEqMLeA17dQFj2tXW/FfPyC\nggK01mH5rlJK0a5dO06ePElhYSFWq/cHq0LYRUVFkZiYSEpKCsnJyXX+N+xXAq6U+gaYpbX+2M/9\nUoAPgKlaa9fNUEKIehfOBFwpRZMmTSgsLPSvBdxUguKCnulcP7QDL734EotP2qZGsd8UXHNaOkv/\nfjMAt9xyC1dddZXL40XV+pKdfXlfCr20wNZu1bQoWHzLYK/XnpkST9dWNd2a8koqyI/91cMeNl1b\nJjkk4Am5JegU7139urZrRlNTslmZlE9SXqmHPar369LSoVt+bnQaBV5+J01io+naqWZqHa01+6u8\nd+HKSI6na+ua7fJLK8gL8Hdi9el3kkpqYqzxuiqpgKQ87wl4164tHVrO82JOeu1inxgTRdfOjgm4\nq99JXJSFrl1dJ+BCiMYhnAl4KIue1p5xBGpawKuqqigtLa33IW120dHRpKenk56eHpbzC+Erf1vA\nzwQCuUuIqd5X+s8JEUHMCXg4ioQlJSX5n4Cbev22S0vkvB7pvHR4M7qsCKWUMS9pVocWlO6yPe9r\nXjaK83r4FpAHd3Q9H7onSimfj2/WNCEmoP3apCbQJtX/G5yemSn0zPR/XNOgevydpMTX7++kR2Yy\nPTL972p2egf/fydAQJ9NCNHw2eNtuGKtXTAJeGFhIbm5uYBjC3jtWUfClYAL0VAE0gX9fqXU7/zc\nJwapnC5ExAnnGHCouSnw54bAasrA7Y3Xe/fuBSAzM9OofirzgAshhIgUjWEM+L59+4xlVy3gYIu3\nLVu2DPgcQpwK/C0R+BVwDFttIX9+Kqv39d6vUAhRb8LZBR38S8DXrFnD559/jrnulaU6A8/JyQGg\na9euxnuJiYnGGB5JwIUQQoRTpIwB9xZvS0pKWLZsGQcPHnR6zx5rwTHeRsK0n0I0JH61gMsUZEI0\nLpGSgHsrCvPMM89w5513AvDBJ58xsncGWmu6ZyRRUlJijEnr1q2bsY9SiqSkJAoKCuSGQAghRFhF\nSgLuKd7m5eVx8cUXs3r1arKystiwYYNDMSpzAm6Ot9LjTAj/SBV0IU5h5i7o4RiXZi8M4+mJ/JYt\nW4zkG2Dl2//l3//8p/F606ZN6Opu6d27d3fYNzk5mYKCgrBOjSKEEEKEcwy4r0XY/vjHP7J69WoA\nNm7cyK5du+jSpYvx/o4dO4xlcwt47THgQgjPZJZ6IU5hkdIC7ilgf/nllw6vP/vsM4fX5ifytRNw\n89QoQgghRLg0hDHgX3zxhcPr2vHWnoC3a9eOxMSaWSikC7oQ/pEEXIhTWCQl4Fq7rtO4fft2h9eb\nN2/m6NGjxmvzE3lzlzioeSovNwRCCCHCKVK6oLtLwCsrK/n5558d1rl74O0u1oLEWyF8IQm4EKew\nSJiGDGxzh5q7w5uZE2wAlIXX3v+CPceLyC0uN24IlFIOXeWg5qZAusQJIYQIp0jvgr5nzx4qKysd\n1n322WfGw/HCwkIOHToEuB7u5e34QogakoALcQqLlGnIwH1hGHsC3qFDBwAsiSnM25ZE9twveP7r\n3WzduhWwdYmrPfeodEEXQggRbpWVlVRVVQHhibVRUVFGfPQWawHat28PwLFjx4ypx7Zt22a8X7sF\nXLqgC+EfScCFOIXZn8grpYz5s+uTt6fy5eXl7N69G4Dhw4eTnp6OUjVfWxUVFaxduxaA008/3Wl/\n6YIuhBAi3ML9sBu8Fz01J+DXXHONsfzDDz8AjvVYBg4c6LCvdEEXwj+SgAtxCjOPSTNPNVJfvI1L\n27VrF1arFYAePXpw2mmngek69+/fT0VFBQAXXHCB0/72m4KSkhKj9UEIIYSoT+GutwLei56aE/Cr\nr77aWN6wYQMAn376KQAJCQkMHTrUYV/pgi6Ef/yahkwp9XwA59Ba64kB7CeEqGPhHJMG3hNw8w1B\n9+7dyc/P55Nv1hvrdu+qKRjjKQG3H79p06ZBX7MQQgjhj3DXWwHfE/BWrVpx2mmnkZiYSHFxMRs2\nbKC8vJyvvvoKgHPOOcfpM8TFxREdHU1lZaW0gAvhA3/nAT8fqF2qOBFoWb2cW/1vavV2xwHXg02E\nEGEXzmlRwHsCvmfPHmO5S5cutlZsUwt4To7thqF169b06NHD4/ELCgokARdCCFHvGkILuD3edunS\nhaioKLKysvj222/54YcfWLVqlTF23NXDbqUUSUlJ5ObmSgIuhA/86oKute6ote5k/wFGAKXAPKCV\n1jpNa50GtALmV783MtQXLYQIjXBOiwLei7CZpxvLzMxkwIABDl3ljx45AsDYsWNddqGXbnFCCCHC\nLZIScHdF2OzxNjMzE4ABAwYAsG/fPqZNm2ZsN2bMGJf7y6wjQvgu2DHgC4CvtdYztNbGnbLW+qjW\n+vfAKmyJuBAiAoU7AfdWhM1+Q6CUomXLlnTv3p2u3UzTn2jb+PDJkye7PL4UhhFCCBFukV6Erbi4\n2FifkZEBwLhx42iXoth4RxNmdrNN93n++efTu3dvl8eXoqdC+C7YBPxc4H8e3v+qehshRASy3xSE\ne0waeE7AmzdvTnR0NEopbrv99poNtOaCCy6gX79+Xo8vNwVCCCHCIdLHgJt7m9kT8BEjRvDChEz6\nZ0RxTd8YzusY5dAS7u74EmuF8C7YBLwS6O/h/QGAlB4WIkKFuwXc1wTcfkMAMOqS0cZy+3bteO65\n59weX1rAhRBChFskdUEvKyszZg+xc5WAK6XoeMYoY/24mya77X4O0gIuhD/8LcJW2zvAbUqprcAz\nWusKAKVUDHAncCvwUpDnEELUkYaSgKenpxvr0psmMjW7E4WFRYy+40E6dEhze3wZAy6EECLcIikB\nB9s48NTUVOO1qwQcoHP33rDftjz1rrsdiqDWJmPAhfBdsAn4dKAftrHgc5RSe6rXdwSSgY3A74M8\nhxCijkRSAl67MIzW2mULeFqTWH5/sesxaJ6OL0/lhRBChEMkjAEPJAG311kBQEX5dHyJtUJ4F1QX\ndK31SeBMYBK2gmux1T+rqtedobU+EexFCiHqRrjHgHsqwpafn29cn8MNgR+kC7oQQohwi4Qx4J7i\nrdsE3GpOwD2nDPZ4W1FR4fDAQQjhLNgWcKq7nT9T/SOEaEDC3QIeGxtLdHQ0lZWVvt8Q+EG6oAsh\nhAi3SOuC7nO8LTlZs7x6IVz8iNvj14634XrQIERDEGwRNiFEAxbuBFwp5bYyq7sbgtzict7+4SDv\nbjzEnuOu5zO1ky7oQgghwq2hJOBJSUkkJibWvBEVU7Oct8/n40u8FcKzoFvAlVJNgWuBLkAaULtC\ng9ZaTwz2PEKI0LJarUYl1HDdEIAtaOfm5vqcgO8/WcLdr/4AwJzL+9KxRRPckRsCIYQQ4RZpY8Dd\nxVun3mYWUwJemu/x+DLkSwjfBZWAK6WygeVACpAP/OpiMx3MOYQQdcN8QxDOrmL2m4LaRdjcJeBW\nXfOVYvFQkRXAYrHQpEkTioqKpAu6EEKIsIiEMeCeip66TcC1aSbhMs9JtQz5EsJ3wXZBfwJb0n2a\n1jpVa93JxU/nEFynECLEIqFLHNQUhqkdsH/9teZ5XvPmzY1lxwTc+/FlblIhhBDhFAnx1lMRNnu8\nNcdaAAb9tmbZWunx+NICLoTvgk3AewHztdYbQ3ExQoj6Ewk3BIDbMeDm60tISDCWraY+Nd5awM3H\nlxsCIYQQ4RAJ8dZTF3T79ZljLQDNOkL7Ybblcs+t2i6HfFVVwjdP2Qq4Wavc7CnEqSfYMeAHsE07\nJoRoYCLhhgDcJ+AlJSXGsvmmQJtawH3Iv42n8tIlTgghRDhE+hhwe7x1SsABEppVb5Tr8fhOXdC1\nhvfvhe+fg5Q20HMMpLYL8OqFaFyCbQGfD0xUSrmvgiSEiEiRNgbc5wTctI0vLeDSBV0IIUQ4RdoY\ncHO8rayspLLS1r3cdQKeavu3NNdxXvBanLqg7/zElnwDDLldkm8hTIJtAS8GCoBtSqn/A/YCTn1M\ntNbPB3keIUSIRVoLeHFxMVarFYvF9lzQfn1KKWJiaiqxWk190C0+PEKULuhCCCHCyR7PLBYL0dFB\nT0AUEHdF2DzeC/z4Bvzwsm1ZW6G8AOKbej1+QUEB/PRGzZudswO+biEao2C/Bf5jWp7pZhsNSAIu\nRISJlATcXhhGa01JSYnx2twlTplauv0dAy4t4EIIIcLJHm/j4+Md4ll9ssdSrbVDC7i73mYA7P26\nZrnN6VBZhjvmFvCiglzY8UH1foOgVVZwFy9EIxNsF/TzfPg5P8hz+Ewp1UYp9axSapdSqkQptUcp\ntUQp1b3WdlFKqT8ppXYqpcqq//2TUirKxTHrZFshwi3SuqADLm8Kat8QOI4B9z0BLyoqwuqh+5wQ\nwjcSa4Xwjz3ehjPWKqVczjriMQHXpph566eQlO72+OYEPLP0ZyjNs73oNcb2b0WprVt6wZEAP4EQ\njUdQLeBa6y9DdSHBUkqlAWuBOGAhsBvoCtwJjFVK9dNaH6je/Mnq9YuBb4CzgEeBdsDkWoeuq22F\nCKvi4mJj2eW4r3pSOwG3z0NqbjEw69kqhcU3D8aqNX1au+4K5+74RUVFDjcJQgj/SKwVwn/2eBvO\nWAu2eFhYWOg2AXfqDWc8tFZeq54mJCRgsViwWq20t+6reaPHJXBwHSweDZUlMPofMPjWYD+KEA1a\neAai1I1rgFbApVrrd+0rlVLfA8uA8cB8pVQ/4A7gn1rru6s3+49SKh+YqpR6Rmv9U/W+dbKtEJHA\nnICb5wetb/62gKc1ieW8nu6fwtdWuzCMJOBCBEVirRB+ssfbcMZacF301N2Un0BNC7jFe+cSpRRJ\nSUnk5+eTrmzzihOTCM272aYwq6xO9I/I/55CBNsFHQCl1BCl1BSl1P1KqQdr/TwQinP4wN4UdrjW\n+kPV/9qzjQmAwlbB3Wx+9fprTOvqalshws6cgCcmJobtOtwVhvE4LYofnKZGEUIEQ2KtEH6yx9tw\nxlqoibeuYi24SsCr6yqrKCjNt/14YI+3bWKrt2vR3VYtNT4FUjvY1h3ZFMQnEKJxCKoFXCmVDLwD\nnIst8OnqfzEta2B2MOfx0WfV/z6plJoB7MHWLW4esAN4tfr9QcBRrfVu885a691KqWPV71PH2woR\ndpGSgJtbBFw9lQ+2QJzT1ChCiGBIrBXCT5GSgHsbA+7cBb06Aa8qg8fawbl/gPPvd3v85ORkoi2Q\nGVddY6Zlz5o3M/pC7l44tsXWtd2XaUyEaKSC7YL+CDAUuAX4H/AzcBG2gHwvMAC4OMhz+ERrvUYp\nNQl4GDCVbeQr4EKttf2xXWvgoJvDHATamF7X1bYuKaVaYevaZ9bT1bZCBMv8BDxSWsB96YKec7SA\nN9YdQCkYP7At3TI8dyl3mhpFCBEwibVC+M8eb8OdgAfcBd2u+ITX41daYdg7bVn7/ssQFVvzZmZf\n2L4SKorh193QvEtgH0KIRiDYBPwy4Dmt9RKlVPPqdVVa6xzgd0qp94HHgYlBnsdXB4DvgI+BnUA/\n4A/A20qpi7TWRUAitrnLXSkFUkyv62pbd24HZvmwnRBBi5QWcH8T8D0ninn2q10ADO6Q5jUBly7o\nQpCOA1oAACAASURBVIScxFoh/BDJY8B96oJuV3Tc4/Ht8fZEfrHz1GMZfWqWj26WBFyc0oJNwDOA\nDdXLFdX/mu/kVwAPBnkOnyilLsNWAGagqQDLO0qptcCH2CqjPo5tfJq7eSDigRLT67ra1p1F2Lr0\nm/UEXvZhXyH8EulF2Nx1QbeapiHzpQebdEEXInQk1grhv0jpgm5OwLXWKKU8d0H3swXcHm9dxtqM\nvjXLRzdD70t9v3AhGplgB2D8AqRWLxdge/rc1fR+Io4JeV2aBuTUrn6qtf6o+trOrV51CPdd1Nrg\n2LWtrrZ1SWt9WGu93vwDbPO2nxCBaKgt4P7OAy5d0IUIKYm1QvhBax1xCXhVVZUxN7nHFvArn4P7\nDkKLHrbXPnRBBzexNrUDWGJsyyd/DuDqhWg8gk3ANwKnA2jbXfEq4G6l1NlKqeHAVKC+yh22Bpzm\nSVC2O/Qoalr71wEZSqlOtbbrBKRXv08dbytE2EXKPODm1nf7ODmttYcEvGbZ4kMCLi3gQoSUxFoh\n/GAeYx3uBNxVvPU4Bjw6DuKSoFnH6p28d0H/6uZEPpwQRdWX/3B8MyoamlVXQj+5K6DrF6KxCDYB\nfwlopZSy91n5M9AS+BJbpdQWwMwgz+GrbUA3pdTQWuuvxNYK/33169ewVWafVmu7adXrXzOtq6tt\nhQg7e/CNj4/HEsZqpK5awCsqKoyW7to3BFaHBNz78WUMuBAhJbFWCD+YC55GyhhwqImHHlvA7Zq0\nsP1bctJWwdyN1OREhraLYnjHaCoPu5jv++x74NIn4aJH/b94IRqRoMaAa62XAktNr9copfpgK85W\nBXygta6vfiZ/A0YBHymlnsZWkb0fcBtwBHiq+ho3KqWeBe6qnkZtFXAWtkrui7TWP5o+T51sK0Qk\niJSiMK6mIfM0Js1hDLh0QReivkmsFcIPkTLcC7wn4G6n/UxMs/2rrVCaW/O6lvZNKoiuno24pEl7\n52INp10f0HUL0dgEW4TNidZ6L/DPUB/Xh/N+o5QahK3o2zXYusmdBF4H7tdaHzFtPgXYB9wKXIdt\nzNifsRWOqa2uthUirCJlTFp0dDTx8fGUlpb69ETe6jAG3PvxJQEXInQk1grhn0hPwD12QV/5ezi4\nHg6tr1lXdNx9Ap5QZJRBzI9vbRSJEkI4CnkCHk7VT77H+7BdJbY5zB8J17ZChFukJOBguykwJ+Ce\nbgjMY8AV3jPw6OhoEhISKCkpkS7oQoSAxFohfBfpCbjHLujHd9Qk36ddD4nNbWPC3WgVnW8sn4zK\noH0IrlmIxijoBFwpdSO2rmddgDRwuiPWWmt3U4YIIcLEPi4t3DcEYOuGfvz48QC6oPt2/KSkJEpK\nSqQFXAghRL2KpDHg/g75MsZ7p3WGy/7l9fgtta1IW3GF5niVi3uLilL44WVbEbY2p0PfK/z8BEI0\nDkEl4Eqph4E/Yet+9gOQG4qLEkLUvUhqAU9JSQFquoh7eiJ/Sb9WnNOtJVprmibG+HT85ORkfvnl\nF0nAhRBC1KtIagG3x1qoibf2HmfR0dFER9dKC3SV7V/lNPGBS2kVthEoW36xUlBY7LyBJRre+4Pt\nuFnXSgIuTlnBtoDfBnwOjNZal4XgeoQQ9SRSirABpKbaRorl5tqe4Xnqgh4fE0V8jG83A3b2SujS\nBV0IIUR9iqQE3B5roSbeupvyE7AVXQNQPsyUUlFCk7KjAGw6VkWUq3gbFQ0prSFvP+Qd8O/ihWhE\ngk3AY4E3JPkWouGJpBbw2gm4T1VZ/WBPwKUFXAghRH1qKAm4y1hrrW4Bt0TBkZ8g/zDEJkLHs523\n/WU7ClvC/tMxK13cxdumbUOfgBefhA/us41Zbz8ULpwDYZxeVQhvgk3AvwT6hOJChBD1K1ITcK21\nb/OS+sFeeMZTAl5SUkJ8fDzKl9LqQgghTi3Hd0LzLr5Nv2FiTsDD3ePM/xZwexd0C7w0HgqPQJfz\nXSfgykJB22yObPyUH49Wke4m3uqmbW3FovIP2saYhyJR/t8/4MdXbcuH1kOX86DbyOCPK0QdCfav\nfhowVil1m1KqUVVUF6Ixs1qtRtCNpAS8oqKCkpISjwn4J1uOcu2zq7nuP6vZ9YtvXcq9dUFfuXIl\nqampnHHGGeTk5ATyEYQQQjRWufvh6TNh8SjYv9avXc1F2MIdb1NSUoyHzLWHfLlMwK2mBDw507Zc\ncMR5O4BW/Skc/Qzdnyrik11VLuOt1pplH6+2vagqpzLvUOAfpuagsOVtx3XrXgj+uELUoaAScK31\nLuAh4GmgSCm1Vym1q9bPz6G4UCFE6JgT3HDfEIDzU3nzGPDa3eIO55fy7a4TrNp5guLyKp+Ob07A\ntXkes2r/+te/KC8v5/vvv2fUqFGUl5cH8jGEEEI0Rl8/AdYK2PctFPiXNEZSF3SLxWIUYvOpC7o9\nXlqiILmVbdldAk5NrAXXPc527tzJp9/vMF6/9u9/+HX9Lh1cZ+vSbrb9fY/XKUS4BZWAK6UmA88D\nlcAOYB9wsNZPCB5vCSFCKZK6xIFzAu6pBdycQPvaE9DeBd1qtTp8doDy8nK+/PJL4/XPP/8sreBC\nCCFq5Hxs+7dFD2jZCz56AJZcBgfXe901khJwcF9zxWULeGo7aN7VNm7b3gJechIqXZd+Mn8+Vwn4\nJ598wr68mhi+c90XgXwER9tW1CwPu8v2r66C3V8Ff2wh6kiw3cb/CKzDVgX9lxBcjxCiHkTqDQF4\nT8CtVvM84L5l4LWfypsfOnz77bdOSfnevXvp00fKWwghxCmvvAjy9tmW258Jxcfhm3/aXvccA20G\netw9Eh94792717cu6NcurVn+4rGa5YIj0KxDzevyIti/BktGH5KSkigsLHSZgH/88cfsy7Mar2OL\njwb3YQCad4NuF0LeQRg6BYp+gbaDbcXYhIhQwSbgzYFHJfkWomGJpDFp4F8XdHMH8kAS8Nrj0j75\n5BOn7ffs2ePTcYUQQjRyx009olp0h4y+Na+P/Oh1d3O8DUVR0WC5awH3OuOIvQUcnBPwwxvhxcsB\nuH1QPP/4otAp1lZVVfHZZ59hLTEl4BW5WK1WLMEUYjvtOtuP3bhnAj+WEPUk2AR8LdAxBNchhKhH\nDboF3JSBW/zsgg7O3eK2bt3qtP3evXt9O7AQQojGzZyAt+wB8SnQrBP8uhsOe0/A7fE2NjaW6Ojw\n1yv2qwu6mX0MOEDBYcf3jm42Fg+WNwGOO8XaI0eOkJeXB0DvfxWyP99KYTlMOHyYNm3aBPBJhPh/\n9s47PI7q7Nv3rLq0qpZkucs2Nm7YgI0NNsE0A6YFCASCIQl5ISSQFwjplDftg1ASQigJIaEFQkno\nvZhiwBiDwb0XWbLVe5dWWs33x9mZOTM7uztbZMtm7uvSpdmd2ZnZndl9zu887cAl3iroPwYuURTl\nzEScjIuLy77hQBbg5hzw2ELQZbRZ+pEjR5KWlgY4F+B1dXW2Rd1cXFxcXPYhqgq7lsG2txK/74at\nxnLhZPF/xEzxv24T+PvCvnwotfyE0G0/IwrwHEkkW4ue1RkT2VX9Yv+hbC1AX94EOgK1Tp3Y2/7+\nfhobGyNu5+JyoBCvAP8L0AO8pCjKXkVRliuK8qHlb1mknbi4uOxbhmJOmkZLS4vJcMvea4ABVc4B\nd7b/cCHo2rFycnIYN06E1DkJQf/rX//K8OHDufjii52dhIuLi4vL4LDmSfjX2fDe/0v8vusDAjw5\nA3LHiGUtDN3vg+bdYV8+VAW43++npaWF3l5RUM1qawG4eyb8tgCe+AYUjDeeb7Q0OKrbJP7njEbJ\nEPsPZWsBZswwwvgjCXCfz8cRRxxBSUmJqWAqABUrYffH0NNqPNfbDqv/DUt/CzuCU8xcXIYC8Qrw\nsYF9VAB9wEhgjOVvbJzHcHE5KHjvvfc499xzWbFixf4+lSGbkwZCgGthamlpabpXWsMcgp44D7jX\n69UFuJMZ+auvvhqAp59+2vWCu7i4uOwvVNUoila3iT6fj5///Of86Ec/0sVlXGgh6IWHgJarPOwQ\nY71VjFrQ7O1QE+AAFRUV+nJubm7wxgP9oqK4OgCpWXDm3XDxf+G4nxrbqCrUBgR48VTd3obzgEcj\nwD/44AM2bNhAf38/P//5z80rl/8FHj0D7pputEzz98FLV8HHdxnV611chhhxJaOoqlqaoPNwcTmo\nqa2t5bzzzqO1tZXVq1ezY8eO/ZoLpuV+gdkY7y+0vqQgzq2trQ2wHxBkpSZRkpPOgKqS5NAFHi4H\nXBsUZGdn6wK8pqaGnp6ekEVprDP7DQ0NFBUVOToXFxcXF5cEsvtjqN8ilkfP5c93382dd94JQGlp\nKT/96U/DvNgBs78LLeXmEGyTAN8R9uWavR0KthbM5yGLX3sB7hf/lSTxf85lwdu0VUFvwAM9fBpe\nr5iwCCfAzxrZyKmXZVKcpXBfefgJjDVr1ujL9fWWms/NZeJ/wXijL2lmAWQUiHZpEa6Nyz5k8yvQ\nXA5HXAIZQ+O7sD/Z/9UgXFy+Atx44426V7e8vJyXX36Z8847b7+dT0NDg748bNiw/XYeGsnJyWRn\nZ9Pe3m7ygNsNCC49ppRLjymNav9OQtBlDzjAnj17mDRpku3+Pv/8c9PjyspKV4C7uLi47A82v6Iv\nNhxzEzfOPF5//Kc//Ynrrrsuvgnvo38Q/FzBBGO5KbyA1Oxt1LZ2YMDwuCeQUB5weSJcRw1ULPck\nhd6hFn4OUDyN7OwaQBR38/v9JCWJ18qCvDDNz4Sx4pq0rQn/+X3yySfG7ouLpXNToUkS4DKFk2DP\nSnMBPZdg1v1HXNtp54S/xvFSuxGeuRRQYfnd8L23YNjEwTveAUBCvtmKokxWFOWHiqL8WlGU8YHn\n0hRFmaAoSlqk17u4HOy8+uqrpsd//etf99OZCORiJoWFhfvxTAzkwjCaALcdEMSALMA177qGHII+\nfPhw/flwBV+WL19uelxZWZmI03RxcXE5uOjvhbduhFd/LLxfg0F9oACYt4T31ldSlO7nvKnJXDg9\nmZqaGl5//fXEHzPNC9kjhVc8JXRouaqqui1xbGt72+H5K+EPo+CVa8XjBBKVB1zVPOBh5EKQALdP\n+ZInv5VsQ0grXYZDIOjwqmoS4CYPeHsN9AcKtuZbBPiwwOR5SwX09eBig78f3r4Jnv0ePHK6mNDQ\n/hLN2qfQm8h21gsR/hUnLgGuCO4DNgH3A/8HaN+CFGANcHVcZ+jichAgh3yDOaRqf6DNyCuKMuTC\n4iJ5wGNBFvKyAPf7/XoF2OzsbNPxrNdMZuXKlabHe/fuTch5uri4uBxUfPAHWHEfrHoYHjjW8Fgm\nkrpA+HnRobS0tPDWJZk8981MfnO88P+sXbs28ccEuHYtXL8JTr0l5CYdHR34fKLct2MP+H+/C+ue\nhr4u+OJReC3OEHoL0eWAWwR4yx547xYh2nYHJqK1/G8lCQonh7S3sgBPzjVamqX1SQXULOzevdsk\nuisrK42aK83SvSRHJIDI1wdAhaZdIff/laZ+C3TUiuXs4fDy/8Ldh4mUjkQy4If1z5qf2/qmiPBI\nNH098PbN8MHtEbsT7G8S0YbsKuDPwCJAT8hUVbUDeBH4epzHcHE5oPH5fEGFYBobG02VyPc12ox8\nQUGBHh62vykoKADEDHe4HPBYkGfkNXEP5gGB1+s1DUzk7axY89BcD7iLi4uLhbotsPwe43Fvm6hW\nnki6mqCzTiwXT6W9vZ1PK4VonFKYRH66SCeKmfqtIkx31zLoNacvkZwa8eVRR5u1VQVX7t78ivBW\nJgjN1gLs2GHkSNuHoAfErhae3NMKH94BG54TId4AC38O33gIFv0OUtJNdjuUvU3JN/LpM1SjKKwV\nq63t7e2lqalJPJCFtTUEfZiUPtbohqHbUrXaWB59FKx+XLSX2/leYo9TvVZEK8h01kHlqsQeB2DZ\n7aIg4we3wlMXJfR7k2jiFeBXAM+oqvozhLfbynrAPonSxeUrgrUQiUZcg4I40TzgQyX8HEQfbhBi\nNpwH/P73d3DYr99i5m/eoq7dWWhZUlKSLsLDCfBQAwcr1skTV4C7uLi4WNjyqhHCrFH2YWKPUS/1\n6C46lLa2NlbsMY45b3SyycsbNdvfgeevEC3OWqIPoY+63srO943lw5fA1++H73+Q0PxczdYCbN5s\n9O92FIJeOFm0YwOo+FT8HzYRDjsf5v8oaD+yHZXHQunDxujL2Up3yHO1c1To9rYpjAdczi+O0Cbu\nK4sswGddDFmBtIDyT+y3j5VRR8Kv9sBlb8C3njae3/ZWYo/TtEtE22jsWAqbX07sMRJIvAJ8PPB+\nmPXNQEGY9S4uBz1yCNaUKVP05f0pwLVZ+aFQgE1j1CgxI97X18dAIDTJbka+p89Pe28/bT39KDhs\nBI4xKAg1IMjOzg5qhxYKV4C7uLi4RGBvoFhlSiZMOVMsV64K9iTHg1b9HKBoCm1tbaypMQT4pAJP\nfLa2vdpYzh5hv42vS/zZELUHXPM+Kh4R2n7EJVA02ajwnQCGDRumt/fUUrDAYRX05FQYM1csV6ww\n1ks48YBnFpXqywVp/pDt4uwEuJ7ypYWgJ6WJfHzTSRgCn5b9N9Ya0lQH/KZ5YyFrGIyYJR43bEv8\nsdKyYdx8mHwapOdBcjr4Evg7ALDmKfD7zM8N4TZ08QrwNiA/zPpJQH2Y9S4uBz2yyJs+fbq+7HrA\nzWgCXMZuQDAgFQhx2IXMtK9EeMDlQQu4AtzFxcUliHP+JnpGn3YbTDxBPDfQb3hOE8H0c+G7r8MZ\nd8Hw6bS3t7O7xcgtLc1TqKioMPKGo0XLkU1KhQzLcLd6HdxeCreOgHXP2L48Kg+4qsKugE9r1Ozg\n4yUIRVFMXnANWwE+/VyY8Q0YM894rvRY8b+3DWrWh92Pnb1NTU0l1ZtPnypE/fAsT0h7a7W1INlb\nrahf3tjgavFpXuPz67CEP7tAvw9qNojlkUeI/4WTxf/uJugMXRgvLhQFfvAR/KoSFt+e2H1r0TUZ\nBVAyUyzvWDo4ueYJIN42ZB8A31EU5U/WFYqiFAP/Awxd/7+Lyz5A9oBPmzaN5557Dth/Atzv99Pc\n3AwMTQ+4jL0AN5Y9UXgFnAjwWD3gbhE2FxcXFwuZBTD5FLHcvBtOvBnGL4SRhyfuGBl5ULpA/CHs\nbXMPtPtUslMVxuV66OjooLW1NbaCo1ruqnd4sBc6Ix+6hS2lrcr25bIHPKK9bd4NXYHtS78W/blG\nwahRoygrMxfEs80BP/dvwc+NW2AsP7hQhMrP+AYcchIQOQTd6/WCotDl8ZKrtjLcq9DS0mJuMRYg\nbAj64ttF2HGoCu3fewuyigZtIgN/P2x/W3iOc4PHL3HTuBO2vgEzzoOc4AmT+Pa9HfyBqAPN810o\nZQw3bIOsBDhotIkv+buTNzb+/dodJ6sQUrNh/NdEDYCadeAtFlXXs4dH3sc+Jl4B/htgJbAceCLw\n3AJFUeYA1wX2H7o8pIvLVwDZAz516lQURUFV1f0mwFtaWvQQ7wPfA57YEPT09HRSU1Px+XxR5YC3\ntLTQ3d1NRkaG4/NxcXFx2a90NUHtBiFSiqYkNMw5iPxSOC6x1bzt0Ca8KzuSmFIwQGmeEGd79uyJ\nTYBrHnCvzQA+e4QQf+oAtNlHQcke8Ij2Ni0bTr1VeNbHHyee2/Y2bH1diPMlz0JSvMN2gdXeZmRk\nkJKS4uzFo+eIfGGt+N2af8OIwyMKcG3CW6/HklpCRUUTu5oHyA5hb+0EeHV1tXEeo+eEPs+iQ529\nn1ho2AGPni7uj4W/gBNuSOz+yz6Cp74Fvnb49G/w/feFmEwUcn/0okBqpOYBByHAx82P/zjln8B/\nvi0m3Y7/VfjrFQ+KAhf9W0yK9LSKSJuj/ifxExcJJK4QdFVVNyGqn2cBfwk8/VvgNqAFWKSq6s64\nztDF5QBH9oAXFhbqvabjKgwTgd7eXn75y18ybdq0oB7kUc3I70PsBLjdjLwcSRiuNakVJx5wMLdD\ns6O/v19vKyNTV1fn/GRcXFxc9ie9HaIt2GNnwV+Phi//tb/PKCFok6rV3UJMjssTkwoxT3hrHvDs\nkuB1ScngFc9/8f7LnHzyyUGCMSp7m1UIx1wN5/3dCNmvXAVfPCJC01sTN2lvtbdRdRxJToMLHhFh\n+SCiGo663HZfdvZWs7WfjL+emQ90csUrPSHtrZ0Ar62tdX6uiebLx6F8hRB22gBk9b9tc+HjYvfH\nog0dQNteeOlHid2/XBleqxhvEuAJqhzfsBW6GkQouLUtmL9fTAImkqRkkc+ePXxIi2+IPwccVVU/\nVVV1BjALuBC4CJgDTFdV9fN49+/icqBj9bKOGSOKgwymB/x73/set99+O5s3b+b22815NlHNyO9D\nRowILnBj6wGXYtCj8ddoYr6rq4u+PmEI7AS4nVCXkXPSZI93TY2bZ+bi4nKAsO4Zs9f247sSmyv5\n5g2in/XHf07cPq2018DTS+Dtm2DvF4Ax4d3QL36bCzM9eFNjnPD2dYk8Z7AX4EBvmhDVWf4W3n33\nXV577TXTes3eZmZmxhYhJVf3bk5cD3WrAA/Zgqx6rcjztobYlx4L33kFTrgJvvkvUw62vK+QIejg\nqO2nLMC1z2+/2dreDnjlWnjkNNEze9a3xPNte6FuU2KPdcKv4KZayAxM2mx/G9qqw78mGhZcBz/6\nQlQl11q4ZRWKAmmQuEJscqs4rTK9qsLDi+EPo+C16xNznAOQuAW4hqqq61VV/a+qqv9RVfVLNeaK\nFy4uQ5/XX3+dKVOm8Ic//CFicRfZA56Tk8Po0aMBqKqyzxmLl+7ubp5+2mj1ILcZgaHrAU9NTQ3K\nARuMHHAwBgLWyRGI7AGXBwTjxxu9R/frrLyLi4uLU1QVPn/I/FyqN7HFqra/DRtfgE1SGaCaDbD0\nNyK0Vh6Yhz1VlW9/+9vMnTuXdevWmVc2bBetzj65F+qFndPs7duNo6hb/E8m3tNOpy9Geyt/Hl57\nAb67WfQZHp0jhtM7d5qDPuPuOCILcIefmRM0Ae5R4JACDxOKsoI38vfB348TkRIf/jF4/dijYeHP\nRB6+hJbKBebxjzUEXbbJ0djb2tpa4SF+4xfi2neEqPVctQYeOxvuOUKE8sfLnpVGW7axRxvF6ECk\nDSSapBQ48+7AAxU2vZTYfRceAocuFssgwrjHHiN6gg9LUAdprVVcqlekumjH6WqA/h5zK7m4jrML\n+kK0pe1qModODhHiEuCKooxXFOVKRVH+qCjK3xVFuVNRlO8rijIuUSfo4jIUueuuu9i6dSs33HAD\nF198cZDIlbEK8IKCAv35gUGozrhp0ybTfhsbG01e26HqAQdnYXHx5oCDMdseiwfcFeAuLi4HNLUb\noW6jWJ68WBSr+sHHiQvZ9PcZ3tphhxjPN+0SHvGtrxsVmCOwefNmHn/8cT7//HNmzZrFvffea7Ss\nkvs755cCxqRqY3IJWTNOZ1ezikr4opohaZd+00MUcdrdJNKRvKkKeekEFTZz3HGkuwXeu0VMWMiC\nMt+wMQkTKwhb61Hgk+9lsf1/vbx20k4RJiyjSuOTKPuQh0v5kj3gHgWKsxQ6WhqDd0JoAa5WfAor\nHxDRD71ttq8FFcqWifsuEZMX5cuN5dJjjeJlICIFBoNJiyAlMDmy8fnBOYbMxU/D5UvhtFsTsz/t\nns0fb64xod3XiejRrqrwtwVwS4mIUND44lH442S4Y3zIIon7k5gEuKIo6YqiPAxsA/4KXA9cAfwE\neADYoSjKPxRFSUvYmbq4DCFWrVqlLz/99NMsXLgwZB9Lq5dVM0yqqprWJYr164PbguzevVtflkPf\n7cK+9yeyoAX7sLjJw7M5aUoxJxxaFNR5JByuAHdxcXFB9G/WOPoHwpuXyAJsLRWiCBKYKytrxZ4A\n6rc62pX1d/Waa67hllsCtX0tAlxVVX3COycnh8zMTJKTRdGycEU1Q1IyQ0xOXPCoURTNwoY9hrAf\nk+Nh1y6z0NPsbURb27QLPrwD/nOpiBzQ0Co7Q0IFeGlpKWdOTmbe6CSeWOfjZzvmwSEnmzdSpbzm\naAqu4EyAD29aie+mbGp/mk1+m30It5297e7upq9B+ixCTRzljDaW2xMQvr3nM/E/c5i4l7MKjWMk\nUoBvfcMQjCkZMClwXSq/EHnTBwqqakzEFZjHdvrjnhajk0CstFcH8uVVc8X75HSjiGJdaCfZ/iJW\nD/h/gO8CHwX+H4no+X0kcBnwMaIF2VNxn6GLyxDEmstVX1/P+++/b7ut7AGPptVVrNgJcHlWfseO\nHQAkJSUxduwgtIOIg+9+97umx3Ye8IvnjeWh7x7FI5fNJS3Z+ay8nQCXJ0CseWltbW34/cGFVVwB\n7uLiMqgM+AevDy+IUFoAJQlGDUJVYrmAk5b3CYFBd0Dot+x2tquG4M/hqaeeEqlfmgBPSoXskfT0\n9Oi/2dnZ2SiKov/ux2Rr07LF5MT0c3UPu0x/fz+rdxhh6iOzFZOtbW5upqlJFJk65JBDgl5vQi6w\nljfGWFYUKAgcO4E54KNHj+bmU0VY/SUzUymvtEk/kD3gSnwe8L6+Pt1JoYWgZxaMJMkj7gely/5+\n1+xtWlqaaRJDF+BZRUKk2pE5zDjvjgTYZy0vuuQwY8JK84LXrE9MITZfJzx1Edw1Fd66UTxXPE38\nH+hPTCG+vV/Ag8fDc1eIMP3BoqPWKCRnFeCJjOxo3GEsF0i/N8VTjeX6g0CAK4pyCnAmcIuqqieq\nqvq4qqprVFXdGfj/mKqqJwC3Al9XFOXk8Ht0cTmwUFVVHxTMn2+0aXjxxRdtt9dEXlZWFklJSYMu\nwIPy5MA0K68J8NLSUudtR/YRZ555pr6ckpJCVpZNXlqMhPOAp6am6jlrdrniMrIALyoq0s/RFeAu\nLi5xo6rwzCVw50QRTjkYHq/KL8X/khmQ5jWe724Rf/EiD4jlXNKkFNG6C6B1r6NdyQJ83rx5HoLm\nRgAAIABJREFUgLBhmzdvNorI5Y4Gjyco3Yu3buSxMz38YkHqoNja7du3s666l6fW93HXil4q21XK\ny8v1SQA5H3zixImhdiNokYRV7hjzOi0PvKkscbmsbVXMyRef1/Ob+zjk6NODt5EFZTThZgQLcLto\ns7QCw0Od3Bs+BzwzM1PvICN2HLh/csL03/Z4jNZd7XHWN+htN0S8LPJGzBT/+zpF3+54qdtiLOcG\nPh9ZrCZiEqZpJ1SthvX/gW6bKuR9PaLNWnucYxo57F+uZQBmQR7ve5I/dznlxVTAcHd8xxgEYvGA\nLwG2q6p6c4TtbgZ2ApfEcAwXlyFLW1sb/f1iUDRv3jxmzJgBwEsvvWTrMZVD4oB95gE/7LDD9Ofk\nWXltUBBxRn4/oCgKGzduZNGiRdx7770oCQyLDCfAtQEBRL4+sgCXBwVuFXQXF5e4WfeMyJEGkcP4\n7m8Sf4wfLofL3oCTA/tu3Al/ORxuHyd6OseLPNi1er40UdHizJMnC/Arr7xSX37hhRekHt3Ckxsk\nwNc/yxmlvRxfmjxotnZ93QAXP9/NYzWHsqFugP7+fvbuFeJQm+wGB/a2RarSnmcR4Jog7+9OXNsm\nLZwa2JE6g+9///uBY0ipdCYPeOIFuCL1tU7rD5/yZRXgqd0Be5s72u5lBlr/9ng94KZq3tK1lL2s\n8sRTrMjV1LV9jz9OVCu/aiWMWxD/MWQveq4lCrJxJ9wyHO6bHf9vgezZtgrwwfKAy9cmLduoIn+Q\nCPA5wMuRNgpUQX8ROCqGY7i4DFmsRczOPfdcQAiwJ554Imh7bVBgV/kzpry0MLS2tuqe2IULF+rH\n1AR4W1ub3q864oz8fmLatGm8/fbbpsGWTH17L+WNnexpCu4PGo5wIeiyAI90fUIJcNcD7uLiEhcD\nA7D0t+bn1jyZ2PZgIEJ2x82HiSeKxzkjDQGYiJBUzTOdnicGwTKauGzd68ibK9vbc889V68mfv/9\n96NqHrqAkAvqahFoHTYyW4nN1n5wG7x6Paz8u+3qrVuNPHY5ekuzt7IH3HEIenqu+JPJHQ2eZCGW\nehI0kVBp1LH5+T3/ZULtm3DfUXD7eCPqIgEh6G1tbUH1bnR7m1GAP3CILLXTdj92Ajw3DVIGAhMF\n1mgBK1r7uHgFuEnkSWOn0XPh3Afhf5bC+K/Fdwww5yproec5I0S18uIpogd7vJiiLSwRBHI+fUsM\nrftkMgtg4kmiv7g1hSN/HHo6SrziWDvPlCyRl286TuC4zeXxHWMQiEWAjwScdmjfAYSJD3FxOfCw\nCvCrrrqKzMxMAH7961/rPaY1NMOzLzzgcrG1CRMm6DnKWgh6VAOCIcqdb21h4Z0fcNyd9jn3obAT\n1trnL1+TSNdHrijvCnAXF5eE0dUYLFi7GqFmEFocyaRkGJ6jRPT/1cSknXdSe87fC50h2kdJaPY2\nLS2N3NxcrrvuOgDaGqpR+gKiLeDlDPKASwI8Jlu78UVY9RCstS9npNlbj8fD8ccfrz+vCXDNA+7x\neCgtLQ1/LE0UWT2SAHO+BzfVwY/Xm8VfPOwNCPCsYsgbK3KPG7YFQqkDYtMUgh6bAB8YGKCjo8P0\n+es21uOh2Sf266U7aB9g2FvZ1o7NlaRLRA94wMve1Qj9vqjeg4lGOZxaugY5I2DWhTDmqODvbixo\n3QkyC41zTzTa99Mufz4lw2gXFm+++aGL4dLn4Uefi3tMJjnNSB+IV4DrqSijgotJ5gWacrWUJ34i\nM05iEeA5QEfErQSdgDfiVi4uBxCyAB82bBglJSVcc801AJSXl7Ny5UrT9lYP+L4S4KWlpUyYIMJ+\nysrKUFU1upy0IYrWBzyaFmRgL8Cbm0X1zfz8/LDbyYTygLe2ttLTE6IPpYuLi0skvEXwo8/gF+Vw\n0ZPG8zvfHfxja8IuEXnG6XmiGrGtAJc8lg4G+HIbL0VRuO666ygsLKQgQ6HVFxjCBoSKLMBlD3hh\npoeezhjafmp9wEP1AA/Y2/lTSpiZ3cKiCUJMWie8x44dq9cYCUlrwItnDT8HIVaiFMBh8fcZkQ6j\n5wjRUmKkrOkTPgnwgIOwjZqtBbO9be0P1F5JsRfHsge8uFhc5zEmAR7Bxydfu846R+duy9E/hCs/\nhPMfDnhvBwnNAy6HticafbInRPSAJpYdponEzNSz4PAlMOXMyNuGozUgwO3qAWgecL/P+D4PEWIR\n4NEmZSawt4WLy/6nsdHoV6n19jz77LP157744gvT9lYP+GCGoFsFuOYBb2tro6mpiW3bDO/GgSvA\nxeDQE+UvS25uLp5AIRltUBfJA+5EgGuDAhDV8F1cXFziIiMPJp0KaYE2jDuji/YJy5u/gsfPgzdv\nMD+v5Wj2tsafZ/zdV+EXu+FCmxxSbdCfUQA9ke2fZm81W+v1ejnppJPY06ZS9MdOen5aAUdfBZhD\n0IUH3KiaPTzLvqhmSPp6jPZIoXqAB+ztfYtUhr95OX87U3gTNQ+4Zm8j2tqeNuOziBRSnQjqt4p8\ncoBRs8V/OwGe5oVTboFFv4OJJ0R1iIKCAn25oaHB3gMOdKjiM8tPta8gLgvw9PR0cnJyGJ4lGf9I\nn1d+qQiBLv2aEGGxkuYVFc9nfEMUExwMelqNUHmrAN/4Ijx/JTx6ZnyeXFU1CtiFih7Qntc8y4PF\n4tvgnL+KVoix0u8zPjO7yRg59H2I5YEnx/i6HyqKcpqD7cZH3sTF5cDCGoIOcPjhh5OUlITf7+fz\nzz/X18t9SfeHB1xuk1VWVsbq1asBUfV70qRJ1pcfGAScM9EWaEtKSqK4uJiamhpqamoYGBjQP/9Q\nHnAnRdi0nEQQHvUxY/bBAMrFxeXgJilZtMDasRR8ToMOHVCxQlRAtg6u5WJpTbsgaxhxk2QzxJx4\nAvyq0lx9PQyyB1zjqKOO4plnnqGvr4/1m7dx1FGi1FCQBxxDOI/M9tDS0mLb2tIWOWc4O7iHt9/v\np6JCeK17knOBTkZkiwnesrIyqqqq9LQkuSCqLXJFeDsPuEy/D5IjeNMjkT8OLn1BXOexgU4uOSNF\nwaquRtFSC0RI9fwfxXQIuWVYTU1NSA94lycLaKIwQ0UdGECxVFuXBTiIqMNH1pSxN/8Y3n72EcgO\n0QNc44gl4m8w2fEubHtTCLyLnoxdoMse5zyLl71qNax7Wix31oecFIpId7NIM4DgsHANLWrA1yGq\nv8cSWj/gh+o14n1kDgsODU8Uql9MELVVwpi5weuHzxCe9rxxRmj9ECFWAb4g8OeEBPVMcHEZGtgJ\n8IyMDGbMmMHatWtZtcoobtLd3a3nhGvCW+tPqqrqoAnwnJwc8vLy9BB0EGFx2rnNmjUrckjcECVW\nDzhASUkJNTU1VFdX09HRoYckxuMBl2f6tZ6vLi4uLlHh74feNlG4SOPr9wsveEp64o6jFSOyDr7l\nKsVNO0VO62CQnBZVISnN3soTnXPmGL3LV61apQvwIC+r3xCBWh74uHEOw4dlAe4NFjtVVVV6N5SB\nrGKgisxkyE4VtlaOhJPP15bCSXDNatEqK5RX8t8XiP7tw2fAZa87ew+hSMsWBfi0InwgBFLRFChf\nnpB2WiUlRuh3dXV1SA94mVLK6s93Ut+lcn17K9m5+fJuggR4QUEBZWVl1Da2BFfW3l/sXQWfPSiW\nW/fEfl7yRIz1PpC/ry0VsQtwubBaqHstWwrbb6+NTYC3VcI/AvfX8b+C438Z/T6ckJIBC64JvX70\nbLgwuDjyUCDqEHRVVT1R/iUwccXFZf8jC3BZfGlGduvWrfpMvJ3R8Xg8ejh6pBD05557jnPOOYe1\na9c6OjdNgJeWlqIoiskDvmrVKn19xAHBECbWHHAwZuWrq6tDzshH6wF3BbiLi0vc1G2EO8bDHRNg\n/bPiOW9xYsV3b7vR99fqYTMJ8F3ETF93wnqXd3d309kpvHWyB/yII47QI6DkCe8geysJiUiV0H0+\nH5dffjnXXXcdqqqa+0ZnB+eAy9FmKXlG6OuIbA81NTV8+OGH+nMR7W1Sivj8x80P7ZX0dYoQZYf9\n02NCaw3VutfcjiwGZA94OHu7LXMOV7/ew28+6KWlzRzpoaqqbm8zMkSoumZv96mtrV4nQr9fuRaq\nbcZi1uiRWBl5uMgxX/Q7GHmEeZ18X7RWEDN+HxRPD9RoCBFtId/vseZNy0I/VK/2/l4RbbH1jcT0\nUD/AiNUD7uLylUUT4Hl5eaSkGKFGc+bM4aGHHgLgyy+/5PjjjzcZfKuXtbW1NawH3O/3c/755wNi\ntv2zzz4Lua2GlnumVVyVK68+++yzpnM9UDE84NELcG1Wvr6+3pTLL18bbXIEInvAMzIyTJ4ZV4Af\nmPT39/PBBx9w2GGHmXrNurjsM+oD9Tm6Go3c70RjCnG1CL2c0eBJgYG++ETEx3fDh3eKkOYr3gtf\nyVlVw4am2tVbAfEb/eTFw1lQ1EGz/2WRE+vxmH6vc3NzoUdMBDR2DZDsCV8J/Y477tDt9xlnnMGi\nHEl42HjANVsLkDl8AgQOXeJV2NZo2Nvs7OzEpHtpIqatSn+/CaegNLCgCgGVVQSbXhIF4EbNjqow\nmDUEXZtIURRFT8eD4IgzOYWrr68Pv1/khssh6BClrVVVEXrt74vNc1y3GXZ/JP6mnhW83lRYMI68\n6ewSkWNuh9UDHitj5sJVn4jlUMUW5fu9PVYBHvq3prq6ms2bN7NwSiFJDwZat516KxxzdWzHOkAZ\nhG+wi8vBjV1OGoiwbo3160UOVaiwK2053IBA9nrLeeWhaG1t1QcgWphdZmamLjrlAcPs2bMj7m+o\nouo54NG/VhsUDAwMmArSyTPySUlJ+gAhnAc8NTWV5ORkkwdcHjC6HDjcc889LFq0iIULFwrvl4vL\nvkZu/1U02bxOVYUHNF5apF64VgGelCxyZY++Kr6qxG17RV5m617hZbPjlevgrulwv03OpoRdupfG\n5JIsxuR6GJ7WS19ApGm/11lZWWJy3DucD497lsI7O7j7U19Ye/vggw/qy1u2bDF7/mxywMvLjc8y\nb8wUfXmEVxgmzUN+5JFH6sU/40LrzzzQJyZp4uGV60S/+e3vmJ/Plz25ZUJ8vXINvHQ17HwvqkN4\nvV6ysrIAswc8Ly/P9HmEizizRpsBDCvIZ/e1Xt6/WKHvo3ucncyfpojokleujeo96DRJ3tkCm4J6\ncvGvtqrYjhEJWeTH259bI9QgqnAyzP9fUYCvZGZs+5bPUfqt8fv9LFiwgJNOOolHnl9qbBNrZMeO\nd2HtM7D749ATCi17YNcy2PxqbMcYJFwPuItLlGgiVxbUADNmzNCXN2zYAIQW4JrRCTcgkEPYnCCH\neMmVuSdMmEBNjTGY8Hq9TJs2Lap9DyU0D3gsJT3kvLTNmzfry9ZrmZubS3t7e1gPuDUkDlwP+IHK\nT37yE0Ckj5SXl0fu2evikmgator/yRnmXtD/+Q6ULYPiafHn/sqDYrtWSmf9Jb79g+Ex8xaHLkbV\n0yKEenJGWC94qAgygJEBoVvdPkDDtm1Mnz5dt6e6qFMUcocZtjCcvd2zx/DYdXV1BSY8AudlU7xJ\ntre5o4wJE60Qm8bRRx8d8pg6S38LjduFuFv0W/ttrGHB3hgLSvX1wBePAqoo5jVpkbGuaIqoFl4w\nHrIKxUSKRpRtyEBMeO/YsYOamho9WtB6HQtyMlkwJomiLAV/zSbgWH2dnQAfU5DOuCQP4/KgvaEc\nR+XOMvLEZybn9UeDFh7tSbFPEcgegbhXVHFfDwapmaI3eFfD4LcHyxsDp/y/+Pah/9YophD03bt3\n686gK/73J1x+62hR+yLWnuOf/xO2vi5aH/6y3H6bt34Fm1+B1GyYOogpHFHiesBdXKJE6/WsCTCN\n7OxsfeDu1AMeLifto48+Mj3WCr6EoqPDyJ/yeo0Ks3Pnmr0MJ598sil0/kDjjJkjuPakSVy5MPo2\nanJYXDgBHu76WIvCyK91BfiBj/bddXHZp2gh6IWHmMOLe9tE+KzsIY8Vk1dqkHoZawLcJm9aR6uy\n3N8t3l8INFsLwfY2L9A3uqZDDbK30RTVBLP4BqisrITFt8PNDfCTrbbV3GV7m15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0AAAg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\ny8rKmD17tjqXzLRDAAH/5E5Br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MC19rVKPwEf3Ucjf3kjyczM5IsvvuCpp55i/fr19OnT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\npmPWOMPhmS3PAFDqKuWz07IXIGhra0M5FDpinHSWukuzttuV1CR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C/S7g5KqTmXriVEr3\nTglre3Z080TeFOBlrsK7GY0EpRRTp05lk60Uy2gJcJOjOo/i3hvvhURqU1A2s4w+UiXI7O77kC7A\ny4pTf3aNjePDk2B3R2vNb1f+lm092zhr77OYUzHHuh/XcVyOgi1bgiDsQnpeeonm235J822/ZNrd\ndw/qrhtPiq9nXnqJKx+4n+9///vcfvvtKKXwHXMMvmOOsdr2fZTKrvxRKITf76fWlp26dQALMkCi\nN/V977SJRwDP3vPx2NyN+/O6rQxWZyLONCBuC0cy19sTiovpfOyv6GgsqwAHiLe1oaNRlNs42I3b\n4qdz1Q73HXccvuOOG/B5NoYiwKP19Ww64UQAJl5xBdUXXThov+HNWwhv2sjZNbX8ubkppwAfqgX8\nosoqFno8lFRWkQiHcShFz4svMOGcswcV39AvPr+jE0ftyOqBV190Ib7PHUNo/XrctlJuYHgvRLZu\nJdrcjP/zn8+aJ2CoBN5517ouPTyV78BRUkIw+Sy6fduI+zdp/M/rie7YQcnBBzPrkYet++FNm+hd\ntoxo/U6qLjg/43cdLp2PPUb7Aw+i3G7mvvAC7uSff80PfpBXv7s7ebmgK6VmK6W+o5T6pVLq90qp\n25RSFymlMtMwCsIngM5QJ9e9fh1rZq+h/LBytm7dyty5c3nrn6nyIVu60usaTmyayIYfbWDt99Yy\nv2Y+EyomEOsx4s1aAtmTrtjLkO1TlbKqbu4avMakmVjFXiZrY/NG69p0lXZ6jBPPMvf4EOCwa9zi\nQnUhqoqqOGb6MSR6E0RbjT8n89S+KlBF2/Mpz4RIPJLWT1+gD0ex8dVZXFXMrB/MYv7t83m149WC\nzXVP5s2GN9nctZlYIsZfN/wVrTWv7HiFc545h0c+fmRUxowlYtyy4hYeX59/llxBELLT+1Kyaq3b\nnSYssqEjEUgmPutMuh7/+te/Zvbs2bz77rsZ7YPvpe59FApZVS1MBhJ4YGR8NnH0E+CDYU9k1pnF\nBb25uRmPUjiTlntHv0RnAG57JvS21NqTsAlws5Z3oRjKWqvjqdrcQ7WQdj7+V+ov+w9+MmECPocj\nawy4PdzLZCALeDAY5OCSEo73+dg/keD1ZF6A4PsfENm4Mes7/XGlJcgbea4WR1kZJQceyISvfjXD\n5b3j//5C3bnfYOeVP8g7E3rgnVRuIHtyMmd1Naq4GIBIfX3Ge8Mh2tRENFlP3dPPcy+05mOab/sl\nHY88QnhT/nXNzVrtrpoaK9xCGKEAV0p5lFJ/BNYDdwNXABcCVwK/AzYqpf5XKVVcsJkKwjjALsYS\nUWNxisfj/PUPf7Xub+3amvaOvfalz+ejoqKCWJchwFe3rSYb9ljvueVzKXIYp6n9xX02Vq0ysnvH\nOmLohBEFsqklZVXevNn4Qh1vLugAhx2WvikbDQt4pCnCLXNu4a5j76KkJeVuaLnFlVfQ/lLKM8Gs\n+27S1ZfaKJS7y/Eu9FJUVUR9KL8FUTB4YsMT1vVX53+VYCzIta9dy4etH3Lf6vvSDqcKgdaa7y/7\nPg99/BA/e+NnPLb+sYL2LwgCJIJBayNedvjhAPT+61+Et2Rf0+J9Kat0XyIlBOvq6rjxxhvT2mqt\n6XnxJQAaolG2RCL4/X7cbjdlZWWcVVHB4WvW0Hbf/dnH6k2t0QOVshoIc72FdAGutSYWi1FXV4fX\nJtYcWdzgBypjZbeA53JBHwpaaxLhMIlkiNdee+2V5iruyeZebs/D4RyaXLAfFJQ7nZaw1lrntIDn\nckGfmCxZFS0r4/rGJl7v68P3h99bse+DzsmW+T7ekV8c+EAUshSZWVqvaNastH6VUpY1Olo/eFna\nXITWrLGuSw7YP+2Ze2rK4h3dmd840aYmwhuMg5KyI48sSKK/TwojtYD/BfgW8Gryvwdj1Pw+GDgP\neA2jBNmj2V8XhN0TuxjT0VSKg0hjSpj3T8RmZmV1uVx4PB7Ky8txVxsuZsF4MKvVLRhPCXCv28up\nc0/lrL3PskqTZSMYC7K5czPvrXsP5VTouBHbHA/G6e1JnfCbLt6WAHeNHwF+xRVXpH0eDQEOqcW+\n12b5KE1uvCoqKqzDFci0gHf2pRbwSSWTiAeMTUq7zh5OIAydWCLGaztfA+DAiQcyq3wWpe5SvrnP\nNwFoDbbyan1hPA1WNq8kEo+glOKUOafgUA40mpvfvHlAzxRBEEZGaO1adNKSXTRzBusPX8T271xs\nxbr2R4fDOLxetFIEdCLt2bPPPksgGc/b+fjfWPupfYgkhfyyLIm+zqmYwBEtrXQvXZp1LNMF3VFW\nljOZV386OjrYkbQiAnQlLcY6EkEHg2zfvp1oNEqZrU9nFgu4d/Fipv/+d8x+4m9pojLeZbeAj1yA\nR5uaWbv/Aaw74EDa/vcewFjvLrNles9WxUPHUwJcOYZmAbcfFPhtAjwYDFoZ24frgl6dFOAJv5+d\nsSgX7NhO6zBcvAcqEVdI7EI5OsR67tmI9/QQ2Wjs0UoOOTjjuTvpuRDN0wIettX49ixID2t027wj\n8hXggRUpa37ZEUekPUsEgwTeW8n/Z++8w6Qq7/b/OdN2ts5sr7D0rqigaGxBRVGMxhKxBAtqjCUx\nicRYiTGJSV59TTS/qK/RGBU1YiNqVCyIShVEettd2GU728vM7NTz++PMadNnd4mFua+Li7Mz58yZ\nep7nfu77e397/vMf3PuGrrR/05A0ARcE4UzgXOD3oiieJori86IobhZFsSb4/7OiKM4GHgDOFwQh\nOmNIIYVvGHQKuCfAggULyMjIIDAQwOCUfk6hKnVPvzQAZWdnK0movRvVgXVy/uSw82gVcKvJyn3f\nuY+7j7+buaPmRn1uuzp2cf6/z2f7yduxnWDDaDRSdUcVLf9qoc3RxnXvX4coilRXVyNYBASDtBL5\ndbKgl5WVceeddwIwdepUzGZznCMSRyQCLrsTMjMzlR7eNptNt7gSSwHPSssi0C5Nuvot/aQwNGw+\nuJk+j/SZnFJxinL76ZVqfWOow2Qw8Pg93PThTcx9bS5v1bzF3FFzuXvW3QD4RB8rDqwY8jlSSCEF\nFW6NXTh7zhwMwUAt147ILjBzSQkTN27gveuu5e9BW/aPf/xj6RiXiw8//JBAfz8t99+vO26lQ7oO\ny5Zqu91OW7DFWDRlUragR7KHx8L27duVbaPRyHt9vdzX0kLen/4IJpOy2J2lIa8RLejl5WSdeirW\nyZN1QWeBXnWsMQzBgm7IzFDs/Fq7/e23305paSkAl156afiBGgKOKUECrlkoyNFY0LVOQJmAm0wm\nMoPfg6gWdIeDvKD93RBs1wbJdR0xDoMFvXvZMg4svJbWP/0PvgiLFaYC9bn5Owe/GD+wa5eynT5t\nWtj95gqJHPs7Ogi4YnfFiXme3VKiu2CxYBmtD0Q0FRZCcO41VAI+oPmNyJ0LZHgO1FN3+eU03baI\n/k8+HdJ5vokYjAJ+BVAliuK9cfa7F6gBfjiIc6SQwtcSOgXcIzJixAjOCvYF7auTBph+r56I1X2n\njqlPTaX4VikQxm630/FhB33b+jg/53xdjbdyHo3NNt2UHnZ/JMjEBcDv9DNv3jxEj4i1wkpjeiPr\nm9fj9DrZt2+fon7D18uCDvC73/2O999/n5UrVw7r48ZSwLVWvHgKuHfAS+fKTrrXdDPSOhJznzRQ\n+bJ8eP1eUhg8Pm1UB2EtAa/IqkBAWjCq76sf8nnWNa+j39tPm6uNzgFpsnTumHOxGqXJ7wd1H8Q6\nPIUUUkgS2nrdtAkTMI+QWoL5mmOHV7Z3dCDTwIULFyq3L1myBFNeHjZNoJlot7M+GNymJeAHNQRc\nDOjVdBg8AdfWf5933nl84XKxtKeb1tGjMVgsVAdfc5bGvm3ITPwcw2VB19rq/Q51fmKz2diwYQMr\nV67k+uvDA9Z0NeAJKuDahQKtAq51m2nHW3lcjqaAG/r7lfp5iyZULxkCnjZuHKNe/hdjl7+H7fzz\nEz5OC9emL3GsWUPnM88oIXlaGPPylG3fUAj4DtUarm0bJ2O41OmB3RLRTxs/HsGkDzYVDAbMJSVD\nPgfAQHCBzVhYoISvyTCXlSrb3uahneebiMEQ8JnAm/F2CrYgWwbETtpIIYVvENw+NRE74A1QUFDA\nFVdcAUDD3xuYuWYmL5/7su4Yv9GPYBIwBS9yNpsNT7OHzg87Wdu3lrNfO5ttbfoGArICLiCQZkws\nSqHPqxLwgDPAkUceSXl5OYEBdRCtqa+R+lgLAoWOQo4sPJKKrMi9Ub8qGAwG5syZQ0FBwbA+biQC\nLpcHhE4IAq4ANb+rYfGoxVw55Urd4xgHjDT9s4mGJxuYYZ9Blic4oTIkFpL3bcGapjW8VfMWTq8z\n/s4J4rMGyV5enFHMhFw1edhitFCcKU2+hoOAf1j3obJ9+khJXc8wZ3Bi+YkAbGjdQI87siKTQgop\nJA93VRUg1eOa8vMxl0iTb2+c7hHa9PKjjjqKk08+GYBXXnmFzZs3U3z77ZTc/xtKfr2YvrvuxBO0\nOWuDvmQCjs+nSyiXEQiS0kj28FjYp7HNzp2rutP2B+3wqgIeuwY8Gox5eWQcd1ywZ3Je/AOiQDAY\nFMeBNvEdpDC2U089NXJtrt+nPkaiCrhmnLUZjLhcLrxerzLWQviCN0RXwM2aLIBMTW1yMgTckJFB\n+vTpWCorlTZYyULuAW6uqIj4PTFp68w7Bx/0JhNWjMaIrc5MBarVfbBKu7/fgfeANI6mTYrcTk2p\nNR8CARcDAaXWPH1K+GKCMTtbWfTyNTeH3f9tx2AIeBlQleC+1UB53L1SSOEbAm1LKtErUlBQwAUX\nXMDRRx+Nt9PLc089R1PIBStgkQiwyS8RcHnAESwCB8WDNPQ36MgzqAq41WRFEAREUWR3527erHmT\nT+o/ifjcQhXwUaNGMXr0aPwDqo1sd41U9+Pr8bEgfQEvnPMCF024aFDvxTcNkQi4XPeWqxk87XY7\niOCqdmFz2yjM0Kd2avuSZmRkUCiq9+/s2MnhgJruGn78wY+5a9VdnPvGudT11g35MZv6m6julhSj\nkytODpsQjsgeAQydgPd5+hQCPjlvMhXZ6gLUd8qkGrWAGEgo8DCFFFJIDHIQU9q4cQCKwhbo7VX6\nfUeCTMDtdjtms1kXwPbHP/4RQ3o6uZdcQu5ll9GjsW/LCrjNZlMJOJFt6Jknn0L2mWeSEQyHSxS1\ntbXS8ZmZugBRmYDLCni+RoE2ZEYm4O2PP07TnXfRFuwpDpBz5plUPvcsY5a9gaViaFNpOd1da0GP\nB51bYBA14Lagdbynp0dXY64db+Mp4IJLdQPmlKoE/L/Z9lMURaVGWf7+hkLIyFBaj0Va5EkURpsN\nU1ERaePGYUgLF1/knuYAvkHWs3uqqyC4UGWdGLmtrTlYmuBrbdVlASR1ntpaAsH5UiQ1X3seb1OK\ngCeCHCDRX7ADSG5JMYUUvsbQEvCAR1LADQYDi4L9DAOBAGvXrlX3EQMQvIZaROniLBNw0aOpMw5J\ndpYVcK39/Nrl13L3qrt5aXfkbMNIBHzMmDF6BfyAmoY+duzYBF7xtweRAl/k/7XtUOIls4YS8Mo0\ntevil01fDt8T/hrj/dr3EQkO4CYr/Z6h17/v7NiJUZAmbKeUnxJ2v0zADzoPhvVmTwYv73lZWfC6\nYLy+H295ljrJbeo//CxxKaRwKODv61OIb9p4icCYggQcpKTkUPT85z9Unfpdbtmzl8lpaYoj6pRT\nTuG4IFH+7DN9IKNWZY1UAw7gixCQVXz7L6l49BGKbvtF2H2xIBNweazNMRi43G4n74MPcG7cqCjg\nFUVFEFxQjKay97z1Nj1vvIHjENXCysp7MgRcWwOesAKurQEPWu+7u7t1BFs73sZTwA1udW6UXVyk\nOAmTUcCHCn9HB4FgDbtlzJiI+wiCoNjQ/V2Dt6CX3HsP4z/9RNeXWwtzcTHWadPIPPlkjNmDK0tw\n769VttPGRZ4HGvODjotAQFcKkQwGNPkO1mmRCbgp2IJvqMnx30SY4u8ShmQz5FOZ8yl87dHiaCHf\nmo/ZGDv0KzQFPT8YCnLCCScot2/YuIHT5p1GrjWXDlcHgkn6CaT7JDItE7yARyXGoQT8dyf+jj5v\nH96AVFMsCAITciewsXUje7v2Rnxu0RTwQI16nj21e5Tt8Qm28Pi2ICMjg4yMDJxOpzJ4R1XAg4g0\nKehwdZAxLkP6/CxQlluGp92DpcASta3cfwv+gJ92V7ti1z5U+Lj+Y2X7re+/hTFBdSQWzqg8g08v\n/ZS1TWuZVTor7H6ZgIuINPY1MsYeeSIUCwExwAu7pIlNnjWPC8bpCXhpllqT1uRIEfAUUhgOGLOz\nmbBxI56aasVyai7VEPDmZtJCiI2/qxtfayulgAi6kqQTTjiBzz//nKamJpqamigL2mVDW35CkID7\nYxPwwUJLwG02G6W5udxTUAg1++j97DP27pXG6vrJk5n08suILpeikobClJ+PZ98+XR/w4YQxWHuu\nbbkWD6biYvKuuQbR78MyOrHrrbaPek5wXGhtbY2rgEcj4F63m06TmWyTCVNWFvn5+bS2ttKZpP36\n4COP4K6qwlxUTMnieBFWemgTui2jR0Xdz5iXi6+lBd8QLOgyojklrJMnM/rVobXKzJ79Xcz/fAZP\nbS1pk8NDgAFMmpp2f1e3zmKfKHLOPpu0iRMZ2LEzLIBNOU8wPd7X0YHo9yfcb/7bgMEQcIAbBUGI\nHsesYnT8XVJI4avFS7tf4oH1DzCjeAZPn/l0TDJxUvlJzG6bzTNLnmGgcUCZFIwaNYq8vDzMp5t5\nt/Jdvnz7S5ZfvJz6XtUumy2qEwLQE/BQRc9utWO32nW3yQRcDo7Ks+prwrQEHDeMGDEiTAGXLehl\n48vwZHrw+r1xFx2+LRAEgdLSUmpqamhubsbj8ShqdiQFvHh+MW/530LcKnL9kWpATS21jLlHmow0\n+ZrIy8ujf30/5jwzU2aHB+r9N7G3ay+XvH0JI7JH8MuZv2T2yNnDfo7m/mZ2dUoBLt8f9/1hId8y\nciw5nDXqrIj3jcoZRXlWOSOyR+ATfRH3iYc9nXtod0mW1ovGX4TVpO99W5pZylmjzqIss4zphdMH\ndY4UUkghHMasTNKnq78ps0YB90WwEwdC+oCP0xDwmTNnKttffPGFQsC1JC4ZC/pg0NfXR0eQLI8O\npkjbKisJ9DswCAJte/biDrZdmzFjBoIgIMToMW4qlF6fr70dURQRBAFvayuC2YwxJycsKCtZyAsf\noTXgsWAZOZLiX92e1HkEo5Hyv/yFjTt28PSddwDQ3NwcVwF3Op14vd6wzicr+vp4tbOTCy64gNdO\nOIG8vLxBEXDnmrW4tmzBMgjnn0erGI+OTmsKb74Z0e3WuTu+jjDa7WQefzyZxx8fdR/7RReRM28e\nRrtdl8yfDASTCeuECVgnTIi6j9K+ze/H39WFaZizf77OGOwv+sTgv0Qgxt8lhRS+Gji9Th5Y/wAA\nX7R+wevVr/ODCT+Iun9BegHGRiP9WyQbl0zABUFg5syZbLNsI5AeoMnRRKujlX3t6sppnkkizFar\nlbS0NJ0FXdt2TAuv10ttbS3jx4/XhVJVdVWFqYS9Hskm5Hf6KS8rx2KxSAq4SyXg+xul2rSx54/l\n3DfOxSAYePP7b1KZU8nhgJKSEmpqamhpadFNCCIp4LYZNvZZ97GueZ2OgLu86mdly7ThyHPQ9Iyk\nlp54RqKXxUODL1q/AKQ66SzLoan+eWmPWgJx2ojTDsk5IuGMyjM4o3JoXS3XN69XtuV6by3STek8\ndOpDQzpHCimkEB+mUm0CcmwC7gwEFLcZ6An4xo0b+d73vgcQkeSFWtBD+0AH3G7ce/ZgyMqiCzDb\nbLpzRUNdnZp7MWrUKABGjhlD55ebKTCZ6N2vZkhon280GPOluYQ4MEDA4cSYlUn99T/CvXcv1ilT\nGP36a3EfIxYGUwM+WOTMPQt7USF1wdZnLS0tcRVwkBZQQsNX5UXyjIwMBEFQPptkCbjBLp3H35t8\nuKZHq4BHsaADZJ9+etT7EoG7pgZTYeGQer4PF4x2O/8NLVrbP93X1nZYEfCka8BFUTQk+e/w8ROk\n8I3DG9Vv6P7+25d/wx+IHTghh8KYzWZdmufMmTNxVKmThk0HN7G/Qx2Ei62qLdhut+st6CG9pmVc\neOGFTJgwgQcffFBHwCPZ0GUFXLafg7Qy73err8crSAOivTKowosBSjK/3qu1wwm552msFXmlRCDY\niizUneDy6wm4drLWEcc+2D3QzfLa5XQPDC48JR42tm4EwGwwc0TBEYiiqJQxDAd63D28vFtK+a/I\nquDkipNpcbSwoWUDnzYMvnbRFxicop0sNrdtBiSinVK4U0jh0EMMBBB94b9vc1ERhbf9grIHHyRn\n3jlh9wc0WRuOQEBHzCZMmKCMvRs2bFBuj0bA3aLImftqaHjoQYrvvFN3Hm9DA7WXzGffOfO4Z9bx\njB49mrYEVHLZfg4qAR8zZgytwdfq0aj6xxxzTNzH0xIPf7t0fl+wVEqukx0KMo47FtsFF2C/6MIh\nP1YiKNGowImMtxAexBYIBBgYkOZGGUH3QF7QGh1vrA2FMdgeLdDdgygmpwu6a6V5nMFmwzgIK3ai\naPjprew9bhb1N/w45n4BtxtvSwuehoZD9lz+WzAV6Qn44YTBhLClkMK3BtpaVoCOgQ5anbHDPWQC\nXlBQoEtqnjFjBo7dKgFf37xeZ0HX1pfabDYC7ug14LetvI0b3ruBdYF1ANx+++2MtY9VeiFHIuDn\njzmftn+30flRpzIhKC0txeQ3EXAH8PX4EAPSwCPkSY9TlFGUcJuzbwPkSUF/fz8NmsFLuyKfnp6O\n2WxG9ErvVWgfcC0ht2falQkBxF+VX7xmMYs+WcSvPvvV4F9EFLyy9xU+OvARIH2uv/r0V3x36Xd5\nde+rw3aOF3a9gNMnTYyvO+I6TAYTd352JwuXL+R3634X5+joeHTTo5z+yun8dMVPh7WtWSgeOvUh\nXjznRe474T5d6cWePXuYO3cujz/++CE7dwopHI4Y2LqVvbOO58B11+PcpIZUChYLBddfj+1750a0\n9coKuF8UGRBFHQE3GAwcHawp3bJli3K7TOAMBgNZQcu1TPYavF66XeFOM60i3OP10NfXx7Jly+K+\nrkgEfPTo0bT6pAXP9OACwtixY3E99BA1887lwHXhvbZlmArUhVxfRweBgQH8QUu9qXjomR55l19O\n2R8eCFuAiAVfWxv9n35K/6rV+JJM9i4qKlLmR1oF3Gq1YtVYmmNlrsjkG8IJeFdXF4EIPd2jQW6P\nJnq9iAORBY9oMOUXYCorJW3MmMjt2oYBAadTUdrjkfz9F15E9Xdn03TboqTP421pof6WWzj40EO4\nth+6zJre95azf/58Wu6/H29Ii7FHHnmEs88+m3379pF+1FGUPfQQI599VleicjggRcBTOKwxo3gG\nJ5efrLutsb8x6v7v175P85RmiucXk1+kt6kdccQR+Hv9DNRLF/d1zesYZRhF58ed9HzeQ6FdXemz\n2+0KwYNwAr66aTVrWteQPlpNQc8wZzAyZyQQmYDPyJxB6xuttL/bzogRUmCVwWCgzFLGzht2svvW\n3XSvkiYoDqM0uZGDrQ4XlGpsj7t27VK2tZMAQRCkBZKgQyHUnaAl4OmmdGVCYEgzsNexl/f2vxf1\n/LKLYU3TGqUWeTiwo2MH96+9X/l7TuUcPmn4hM6BTjYf3Dws5xBFkdWNqwGpT/d5Y88D1OTwVmf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wOPvvEoN9xwAxaLhdWrV+v2FT0iJkz48OmcJcOB5bXLdX+/VvUaF46/cFjPkUIKXzU8+/cr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6k2e61wBDz7cCvc+XdTq88/LyfH2WBWE4mD59OtXV1e4KBH7nW4FEh/eOHTvQ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\nSUVORK5CYII=\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(2,2,figsize=(9,7))\n",
"\n",
"ax[0,0].plot(df.loc['2017-01-01':'2017-01-14','load'], label='Observed', c='k')\n",
"ax[0,0].plot(pred_bl['2017-01-01':'2017-01-14'], label='Baseline', ls='--', c='C0')\n",
"ax[0,0].set_ylabel('Electricity Demand [MW]')\n",
"ax[0,0].legend(loc=1);\n",
"\n",
"ax[0,1].plot(df.loc['2017-01-01':'2017-01-14','load'], label='Observed', c='k')\n",
"ax[0,1].plot(pred_lr['2017-01-01':'2017-01-14'], label='Lin Reg', ls='--', c='C1')\n",
"ax[0,1].legend(loc=1);\n",
"\n",
"ax[1,0].plot(df.loc['2017-01-01':'2017-01-14','load'], label='Observed', c='k')\n",
"ax[1,0].plot(pred_gbr['2017-01-01':'2017-01-14'], label='Grad Boost Reg', ls='--', c='C2')\n",
"ax[1,0].set_ylabel('Electricity Demand [MW]')\n",
"ax[1,0].legend(loc=1);\n",
"\n",
"ax[1,1].plot(df.loc['2017-01-01':'2017-01-14','load'], label='Observed', c='k')\n",
"ax[1,1].plot(pred_mlp['2017-01-01':'2017-01-14'], label='MLP Reg', ls='--', c='C3')\n",
"ax[1,1].legend(loc=1);\n",
"\n",
"fig.autofmt_xdate()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"In agreement with the MAPE results, GBR clearly has the best performance, followed by MLP. Linear regression performs quite poorly, making almost no attempt to follow the weekly trend as it rises and falls. For completeness, the GBR model predictions are plotted below for the full time span of the test data. "
]
},
{
"cell_type": "code",
"execution_count": 63,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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EpGnt27fHs88+i/bt2+PmzZv47bffcPz4cQQGBpZayZ6IbsnMK0DN6vyaJ9K6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\n/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"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig = plt.figure()\n",
"plt.plot(df.loc[:,'load'], label='Observed')\n",
"plt.plot(pred_gbr, label='Grad Boost Reg', ls='--')\n",
"plt.ylabel('Electricity Demand [MW]')\n",
"plt.legend();"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\n",
"## 6. Summary & Future Work"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"This project considered the issue of forecasting electricity demand at one week intervals with a resolution of one hour. This is an important application for utilities and power plant operators so that they can make informed fuel purchase decisions and schedule maintenece at optimal times. In order to make more accurate forecasts, the original timeseries data was decomposed into monthly averages and hourly residuals. The monthly averages were modeled using a SARIMA model, and the hourly residuals were modeled using three different regression models. Of these, gradient boosting regression showed the best performance on the test set, with a 61% improvement over the baseline persistance model.\n",
"\n",
"The accuracy of the best model (gradient boosting regression) is actually quite good. This model could certainly be used for one-week-out forecasting, at least as a first-order estimate. If a higher accuracy model is required, the authors present two suggestions for further study:\n",
"\n",
"- For both GBR and MLP, only a very rough grid search over hyperparameters was performed, and the possible values of hyperparameters were chosen somewhat arbitrarily. A more thorough investigation of hyperparameters is strongly suggested, especially for MLP.\n",
"- The most obvious features for predicting electricity demand were used in this project: autoregressive features, temporal features, and weather features. A study of where the model is predicting with the lowest accuracies could be interesting, with the hope of finding a pattern which could be fixed with additional features. For example, if one found that the model was consistently under-predicting electricity demand during major sporting events, adding a boolean feature of \"major_event\" could help improve model accuracy. "
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.6.1"
}
},
"nbformat": 4,
"nbformat_minor": 2
}