1. Diamonds
library(ggplot2)
data(diamonds)
# observations, variables, number of ordered factors
str(diamonds)
## Classes 'tbl_df', 'tbl' and 'data.frame': 53940 obs. of 10 variables:
## $ carat : num 0.23 0.21 0.23 0.29 0.31 0.24 0.24 0.26 0.22 0.23 ...
## $ cut : Ord.factor w/ 5 levels "Fair"<"Good"<..: 5 4 2 4 2 3 3 3 1 3 ...
## $ color : Ord.factor w/ 7 levels "D"<"E"<"F"<"G"<..: 2 2 2 6 7 7 6 5 2 5 ...
## $ clarity: Ord.factor w/ 8 levels "I1"<"SI2"<"SI1"<..: 2 3 5 4 2 6 7 3 4 5 ...
## $ depth : num 61.5 59.8 56.9 62.4 63.3 62.8 62.3 61.9 65.1 59.4 ...
## $ table : num 55 61 65 58 58 57 57 55 61 61 ...
## $ price : int 326 326 327 334 335 336 336 337 337 338 ...
## $ x : num 3.95 3.89 4.05 4.2 4.34 3.94 3.95 4.07 3.87 4 ...
## $ y : num 3.98 3.84 4.07 4.23 4.35 3.96 3.98 4.11 3.78 4.05 ...
## $ z : num 2.43 2.31 2.31 2.63 2.75 2.48 2.47 2.53 2.49 2.39 ...
levels(diamonds$color)
## [1] "D" "E" "F" "G" "H" "I" "J"
# also see:
#?diamonds
2. Price Histogram
# Create a histogram of the price of
# all the diamonds in the diamond data set.
# TYPE YOUR CODE BELOW THE LINE
# =======================================
hist(diamonds$price)
![](data:image/png;base64,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)
3. Price Histogram Summary
summary(diamonds$price)
## Min. 1st Qu. Median Mean 3rd Qu. Max.
## 326 950 2401 3933 5324 18820
4. Diamond Counts
# diamonds under $500
sum(diamonds$price < 500)
## [1] 1729
# diamonds under $250
sum(diamonds$price < 250)
## [1] 0
# diamonds that cost $15,000 or more
sum(diamonds$price >= 15000)
## [1] 1656
5. Cheaper Diamonds
# Explore the largest peak in the
# price histogram you created earlier.
# Try limiting the x-axis, altering the bin width,
# and setting different breaks on the x-axis.
# There won't be a solution video for this
# question so go to the discussions to
# share your thoughts and discover
# what other people find.
# You can save images by using the ggsave() command.
# ggsave() will save the last plot created.
# For example...
# qplot(x = price, data = diamonds)
# ggsave('priceHistogram.png')
# ggsave currently recognises the extensions eps/ps, tex (pictex),
# pdf, jpeg, tiff, png, bmp, svg and wmf (windows only).
# Submit your final code when you are ready.
# TYPE YOUR CODE BELOW THE LINE
# ======================================================================
ggplot(diamonds, aes(x=price)) + geom_histogram(binwidth=500) + scale_x_continuous(limits=c(5250,14750))
## Warning: Removed 41944 rows containing non-finite values (stat_bin).
![](data:image/png;base64,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)
6. Price by Cut Histograms
# Break out the histogram of diamond prices by cut.
# You should have five histograms in separate
# panels on your resulting plot.
# TYPE YOUR CODE BELOW THE LINE
# ======================================================
ggplot(diamonds, aes(x=price)) + geom_histogram() + facet_wrap(~cut)
## `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.
![](data:image/png;base64,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)
7. Price by Cut
by(diamonds$price, diamonds$cut, summary, digits=max(getOption('digits')))
## diamonds$cut: Fair
## Min. 1st Qu. Median Mean 3rd Qu. Max.
## 337.000 2050.250 3282.000 4358.758 5205.500 18574.000
## --------------------------------------------------------
## diamonds$cut: Good
## Min. 1st Qu. Median Mean 3rd Qu. Max.
## 327.000 1145.000 3050.500 3928.864 5028.000 18788.000
## --------------------------------------------------------
## diamonds$cut: Very Good
## Min. 1st Qu. Median Mean 3rd Qu. Max.
## 336.00 912.00 2648.00 3981.76 5372.75 18818.00
## --------------------------------------------------------
## diamonds$cut: Premium
## Min. 1st Qu. Median Mean 3rd Qu. Max.
## 326.000 1046.000 3185.000 4584.258 6296.000 18823.000
## --------------------------------------------------------
## diamonds$cut: Ideal
## Min. 1st Qu. Median Mean 3rd Qu. Max.
## 326.000 878.000 1810.000 3457.542 4678.500 18806.000
8. Scales and Multiple Histograms
ggplot(diamonds, aes(x=price)) + geom_histogram() + facet_wrap(~cut, scales="free")
## `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.
![](data:image/png;base64,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)
9. Price per Carat by Cut
# Create a histogram of price per carat
# and facet it by cut. You can make adjustments
# to the code from the previous exercise to get
# started.
# Adjust the bin width and transform the scale
# of the x-axis using log10.
# Submit your final code when you are ready.
# ENTER YOUR CODE BELOW THIS LINE.
# ===========================================================================
ggplot(diamonds, aes(x=price)) + geom_histogram() + facet_wrap(~cut, scales="free") + scale_x_log10()
## `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.
![](data:image/png;base64,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)
10. Price Box Plots
# Investigate the price of diamonds using box plots,
# numerical summaries, and one of the following categorical
# variables: cut, clarity, or color.
ggplot(diamonds, aes(x=clarity, y=price)) + geom_boxplot() + xlab('Clarity') + ylab('Price')
![](data:image/png;base64,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)
by(diamonds$price, diamonds$color, summary)
## diamonds$color: D
## Min. 1st Qu. Median Mean 3rd Qu. Max.
## 357 911 1838 3170 4214 18690
## --------------------------------------------------------
## diamonds$color: E
## Min. 1st Qu. Median Mean 3rd Qu. Max.
## 326 882 1739 3077 4003 18730
## --------------------------------------------------------
## diamonds$color: F
## Min. 1st Qu. Median Mean 3rd Qu. Max.
## 342 982 2344 3725 4868 18790
## --------------------------------------------------------
## diamonds$color: G
## Min. 1st Qu. Median Mean 3rd Qu. Max.
## 354 931 2242 3999 6048 18820
## --------------------------------------------------------
## diamonds$color: H
## Min. 1st Qu. Median Mean 3rd Qu. Max.
## 337 984 3460 4487 5980 18800
## --------------------------------------------------------
## diamonds$color: I
## Min. 1st Qu. Median Mean 3rd Qu. Max.
## 334 1120 3730 5092 7202 18820
## --------------------------------------------------------
## diamonds$color: J
## Min. 1st Qu. Median Mean 3rd Qu. Max.
## 335 1860 4234 5324 7695 18710
11. Interquartile Range (IQR)
# IQR for the best color
IQR(diamonds$price[diamonds$color=='D'])
## [1] 3302.5
# IQR for the worst color
IQR(diamonds$price[diamonds$color=='J'])
## [1] 5834.5
12. Price per Carat Box Plots by Color
ggplot(diamonds, aes(x=color, y=price)) + geom_boxplot() + xlab('Color') + ylab('Price')
![](data:image/png;base64,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)
by(diamonds$price, diamonds$color, summary)
## diamonds$color: D
## Min. 1st Qu. Median Mean 3rd Qu. Max.
## 357 911 1838 3170 4214 18690
## --------------------------------------------------------
## diamonds$color: E
## Min. 1st Qu. Median Mean 3rd Qu. Max.
## 326 882 1739 3077 4003 18730
## --------------------------------------------------------
## diamonds$color: F
## Min. 1st Qu. Median Mean 3rd Qu. Max.
## 342 982 2344 3725 4868 18790
## --------------------------------------------------------
## diamonds$color: G
## Min. 1st Qu. Median Mean 3rd Qu. Max.
## 354 931 2242 3999 6048 18820
## --------------------------------------------------------
## diamonds$color: H
## Min. 1st Qu. Median Mean 3rd Qu. Max.
## 337 984 3460 4487 5980 18800
## --------------------------------------------------------
## diamonds$color: I
## Min. 1st Qu. Median Mean 3rd Qu. Max.
## 334 1120 3730 5092 7202 18820
## --------------------------------------------------------
## diamonds$color: J
## Min. 1st Qu. Median Mean 3rd Qu. Max.
## 335 1860 4234 5324 7695 18710
13. Carat Frequency Polygon
qplot(data=diamonds, x=carat, xlab='Carat', ylab='Frequency', binwidth=0.1, geom='freqpoly') + scale_x_continuous(breaks=seq(0,5,0.2)) + scale_y_continuous(breaks=seq(0,12000,2000))
![](data:image/png;base64,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)
14. Gapminder Data
# The Gapminder website contains over 500 data sets with information about
# the world's population. Your task is to download a data set of your choice
# and create 2-5 plots that make use of the techniques from Lesson 3.
# You might use a simple histogram, a boxplot split over a categorical variable,
# or a frequency polygon. The choice is yours!
# You can find a link to the Gapminder website in the Instructor Notes.
# Once you've completed your investigation, create a post in the discussions that includes:
# 1. any questions you answered, your observations, and summary statistics
# 2. snippets of code that created the plots
# 3. links to the images of your plots
# You can save images by using the ggsave() command.
# ggsave() will save the last plot created.
# For example...
# qplot(x = price, data = diamonds)
# ggsave('priceHistogram.png')
# ggsave currently recognises the extensions eps/ps, tex (pictex),
# pdf, jpeg, tiff, png, bmp, svg and wmf (windows only).
# Copy and paste all of the code that you used for
# your investigation, and submit it when you are ready.
# ====================================================================================
library('xlsx', quietly=TRUE)
library(reshape2)
sugar <- read.xlsx('indicator_sugar_consumption.xlsx', sheetIndex=1)
# get rid of NA rows and columns
sugar[ncol(sugar)] <- NULL
sugar <- sugar[!is.na(sugar[[1]]),]
# clean up the country column
colnames(sugar)[1] <- 'country'
sugar$country <- gsub(' ','_',sugar$country)
# the countries and years
countries <- as.character(sugar$country)
years <- seq(1961,2004)
# sugar consumption in 2004 histogram
ggplot(sugar, aes(x=X2004)) + geom_histogram() + xlab('Sugar per Person (g per day)') + ylab('Count') + ggtitle('Sugar Consumption per Person by Country in 2004')
## `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.
## Warning: Removed 84 rows containing non-finite values (stat_bin).
![](data:image/png;base64,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)
# sugar consumption in 1970 vs. 1980 vs. 1990 vs. 2000 boxplot
sugar2 <- melt(sugar, id.vars='country', measure.vars=c('X1970','X1980','X1990','X2000'), na.rm=TRUE, variable.name='year')
sugar2$year <- gsub('X','',sugar2$year)
ggplot(sugar2, aes(x=year, y=value)) + geom_boxplot() + xlab('Year') + ylab('Sugar per Person (g per day)') + ggtitle('Sugar Consumption Worldwide by Decade')
![](data:image/png;base64,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)
15. Exploring Your Friends’ Birthdays
# Your task is to investigate the distribution of your friends'
# birth months and days.
# Here some questions you could answer, and we hope you think of others.
# **********************************************************************
# How many people share your birthday? Do you know them?
# (Reserve time with them or save money to buy them a gift!)
# Which month contains the most number of birthdays?
# How many birthdays are in each month?
# Which day of the year has the most number of birthdays?
# Do you have at least 365 friends that have birthdays on everyday
# of the year?
# **********************************************************************
# You will need to do some data munging and additional research to
# complete this task. This task won't be easy, and you may encounter some
# unexpected challenges along the way. We hope you learn a lot from it though.
# You can expect to spend 30 min or more on this task depending if you
# use the provided data or obtain your personal data. We also encourage you
# to use the lubridate package for working with dates. Read over the documentation
# in RStudio and search for examples online if you need help.
# You'll need to export your Facebooks friends' birthdays to a csv file.
# You may need to create a calendar of your Facebook friends' birthdays
# in a program like Outlook or Gmail and then export the calendar as a
# csv file.
# Once you load the data into R Studio, you can use the strptime() function
# to extract the birth months and birth days. We recommend looking up the
# documentation for the function and finding examples online.
# We've included some links in the Instructor Notes to help get you started.
# Once you've completed your investigation, create a post in the discussions that includes:
# 1. any questions you answered, your observations, and summary statistics
# 2. snippets of code that created the plots
# 3. links to the images of your plots
# You can save images by using the ggsave() command.
# ggsave() will save the last plot created.
# For example...
# qplot(x = price, data = diamonds)
# ggsave('priceHistogram.png')
# ggsave currently recognises the extensions eps/ps, tex (pictex),
# pdf, jpeg, tiff, png, bmp, svg and wmf (windows only).
# Copy and paste all of the code that you used for
# your investigation below the line. Submit it when you are ready.
# ===============================================================================
library(lubridate)
library(scales)
bdays <- read.csv('birthdaysExample.csv')
bdays$dates <- as.Date(bdays$dates, '%m/%d/%y')
# to simplify working with February 29th birthdays, set the year to be a leap year
year(bdays$dates) <- 2016
ggplot(bdays, aes(x=dates)) +
geom_histogram(binwidth = 1, color = "gray", fill = "blue") +
scale_x_date(labels = date_format('%b'), breaks = date_breaks("months"), limits=c(as.Date("2016-01-01"), as.Date("2016-12-31"))) +
xlab('Birthday') + ylab('Count') + ggtitle('Histogram of Birthdays')
![](data:image/png;base64,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)
ggplot(bdays, aes(x=month(bdays$date))) + geom_bar() + scale_x_continuous(breaks=seq(1,12), labels=month.abb) +
xlab('Month') + ylab('Number of Birthdays') + ggtitle('Birthdays by Month')
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAABUAAAAPACAMAAADDuCPrAAABAlBMVEUAAAAAADoAAGYAOjoAOpAAZmYAZpAAZrYzMzM6AAA6ADo6OgA6Ojo6kJA6kLY6kNtNTU1NTW5NTY5Nbm5Nbo5NbqtNjqtNjshZWVlmAABmAGZmZgBmZjpmZmZmtrZmtttmtv9uTU1ubk1ubm5ujo5uq+SOTU2Obk2Ojk2Ojm6Ojo6Oq6uOyOSOyP+QOgCQZgCQtpCQ27aQ29uQ2/+rbk2rq46r5Mir5OSr5P+2ZgC2/9u2///Ijk3Iq27I5KvI/8jI/+TI///bkDrbtmbb25Db/7bb///kq27kyI7k5Kvk/+Tk///r6+v/tmb/yI7/25D/5Kv//7b//8j//9v//+T///+pKpXGAAAACXBIWXMAAB2HAAAdhwGP5fFlAAAgAElEQVR4nO29f2McR9pdB6034TJ5HWFlKyrGSUzGluIfkWJnaWeRpWMLSZZ5syFISsL3/yqe6e6Z6ZmpKeDprgvULZ77hwSQwMGdeqYOu2d6Blf3hBBCFuXquQsQQohrECghhCwMAiWEkIVBoIQQsjAIlBBCFgaBEkLIwiBQQghZGARKCCELg0AJIWRhECghhCwMAiWEkIVBoIQQsjAIlBBCFgaBEkLIwiBQQghZGARKFuf2apYXuz/9/Orqqz9d/J6bq6uvLxPLf/vY/PrT1dXrx3/5h6P6Qz6+vAoh9qlzA4hNEChZnCOB7h2UF+jH/2r8s1YF+ru/nPSICfRxN490FwRKFudEoJNBcwI9/FmrAj36hk3dkEAfe/NId0GgZHFuZ2e+25Pey2fuBgJ9cfYnCJQ8GARKFmcu0MFaLy59ZesC/Qcvj87hb66++q8RKHlEEChZnCOBbj30+79e+MrWBfr7/3X+HZu2/2UIgUC/2CBQsjgdCfT/mt+UzR/8UwRKHhMEShbnTKDDZzub3G4VtH06+6t/83J8kmn7x4NhtoY7Ms3uSqKZf8YncqYf8GH+NPnt9EUj5eT5891fvB4B019mv3/2w3///7yafcHN1e/+j5lAxyb7fxxu9vAJ8/HBm0e6DQIli3P6GOh4FDYX6HA50JlAP0zP2u+UNbly8/d7ge7+aHouZ35MuftBN/uvOFXo8NW7SwQG8eW+f5/h0PnmSJgvDt8wafrwNNPN7nZNt+hMoKc3j3QcBEoW5/RZ+L37dgL9u1Fh//exYf5ub77xqG4noI1y/skEmflzD3tx+Enb7zv480xVW+f9D8c/5Pz7DxkE+uHwBZsPX+8FOm8yftvZLfhYvnmk5yBQsjgn14FOR3Azge7PY48eJBzNMphpd3Q5yGsU0de7r3q9+xFfj3+3s+Tw0MDwxS/u519yyHjQuP8h2e+fZRDo5nt2X7A5g//LXqA3U7k9KXMLijePdB0EShan/EqkudiODXM4S5/cNj9b/nr6q0k+01NTh1Pqz+OjlbNDytvT66f2Sh5/3vbLz75/lvFH3M6+4MX+6w8H1jtS5hYUbx7pOgiULM7pK5HOHgPdP9Z4ZJjDkd5guZujs+tBOrMn9DffOXz4YfZ80ouRfvEMeWu/+eOrrzPfP8v40zY/e/8Fr/cCvT1qMvzR+S0o3jzSdRAoWZz5od9w1De4YybQveKODHN85Hh0zdH5VUC7A8Y94WYvxIsvfdoi95ib/UHt0ffPMgp0fw6/PYPftTotdyL825xALx4Ykw6DQMninF3GdKSq+d9mL5Qcv+DopfOnVxjNLkU6iHD4/PDk+PkDjUfa29U4+f5ZpuPd6Rx+8wVf7xFH5aavO7sFxZtH+g4CJYtzooib/dMnQYEejPZh/rTT8XPsk772X3Ew6NmB6NGFSrtT9tPvP+TD/sn0F8Nn2+9FoORRQaBkcU4UcTu6roZA5xcPTX89WfHmYLSZQs+ehT86qH2R//7ZD52ep9r+pJv5k1YIlJSDQMninCjiw1KBnp3C7/35YubX4e9OL+L8kDsGzZ7C579/YuyuFX09ncFnBXq7fwwUgZIpCJQsTpUj0NyTSLdHV5VOAh3cd/og6cQ5/sPck0iF798JdDiHH8/gH3gSCYGSKQiULM6xIrayWfAY6OmVQl8ff9GH+XVBX/1vPx1O6C8/d79rss3GirtjyPn3z7MT6HAOf3P82s/8ZUwIlExBoGRxqjwLf3Kt+u4p8OlPtn+5U97mB/zDVzvmzGxHB5y7P5g91bT7uqPvn2V/1emG+T++OrxRyeUL6REomYJAyeIcKeImcx3o0VWiX+++7NQwN/NXP+6OQA8vpDx5z5HpuPPwDvjbPz4+rByfXdq/OvT4XZXOr3raC3T46hF69FLOoxeF5m5B8eaRnoNAyeKcvhLp+IXhZ5fZD39/QT/Tc0H//eHVnacvcLqfOfrshx9b8fjNRA4Hp0fff8heoEORw4eX30zkwi3I3zzScxAoWZwTgU6iywl0erb867xh9gZ9vXuO50Cev7Px4Q1ETn76yVHl0dvZzU7uj79/3m06yz88HVV+O7uzW1C8eaTjIFCyOEcC3R/aZQWae8vk2RfsXnF0OxfYaMbZV52+k+dtVp87+w2HsUfXLJ29E+i+2vRlh2ec5k9Snb+h8vktKN880m0QKLHJ7o1Fnuv7CTkNAiU2ybwM80m/n5DTIFDikl9zF3E+4fcTchYESlyy9g02eYNOUj0IlDhkvLDpwvt/PsH3E5INAiUOuXQR/FN9PyHZIFDikO1lRWuOH9d+PyHZIFBCCFkYBEoIIQuDQAkhZGEQKCGELAwCJYSQhUGghBCyMAiUEEIWBoESQsjCIFBCCFkYBEoIIQvzhAL9/zcZ/vP4hL78XgnX0puq3tC6GFdval2oXgM+fjkCXQR3nruvhYyrN7UuVK8BR6Ar4M5z97WQcfWm1oXqNeAIdAXcee6+FjKu3tS6UL0GHIGugDvP3ddCxtWbWheq14Aj0BVw57n7Wsi4elPrQvUacAS6Au48d18LGVdval2oXgOOQFfAnefuayHj6k2tC9VrwBHoCrjz3H0tZFy9qXWheg04Al0Bd567r4WMqze1LlSvAUegK+DOc/e1kHH1ptaF6jXgCHQF3HnuvhYyrt7UulC9BhyBroA7z93XQsbVm1oXqteAI9AVcOe5+1rIuHpT60L1GnAEugLuPHdfCxlXb2pdqF4DXl+gv/zw3f6j6+vr73OfINDnhhtbyLh6U+tC9Rrw+gJ9dz0J9NOb622+/dvZJwj02eHGFjKu3tS6UL0GvLpA311PAt0ccn43iPP7008Q6PPDjS1kXL2pdaF6DXhlgQ4HmqNA78bDzU9vvvn55BME+vxwYwsZV29qXaheA15XoO839rybBPpuPNr87e31jyefINDnhxtbyLh6U+tC9RrwygL945/vJ4H+9nbz8SjV748/QaANwI0tZFy9qXWheg149cdAdwL95YfpbP395vOjT4b8Ycqan0QIIe2lqkDv5gK9Q6CEkL7zBALdZeEh8+O/mDOPKvSG1sW4elPrQvUacP0pPAJdSG+qekPrYly9qXWheg34cz0GikCfF25sIePqTa0L1WvAZQLlWfi19KaqN7QuxtWbWheq14DLBHr/brzkc3cd6OwTBPr8cGMLGVdval2oXgOuEyivRFpJb6p6Q+tiXL2pdaF6DbhOoLwWfiW9qeoNrYtx9abWheo14DqBbj6YvQHT0ScI9NnhxhYyrt7UulC9BlwoUN4PdB29qeoNrYtx9abWheo14PUFGsvCwo//YuZehd7QuhhXb2pdqF4DjkBXwJ3n7msh4+pNrQvVa8AR6Aq489x9LWRcval1oXoNOAJdAXeeu6+FjKs3tS5UrwFHoCvgznP3tZBx9abWheo14Ah0BXwRPQmir97QfjCu3tS6UL0GHIGugCPQOvAvpnpT60L1GnAEugKOQOvAv5jqTa0L1WvAEegKOAKtA/9iqje1LlSvAUegK+AItA78i6ne1LpQvQYcga6AI9A68C+melPrQvUacAS6Ao5A68C/mOpNrQvVa8AR6Ao4Aq0D/2KqN7UuVK8BR6Ar4Ai0DvyLqd7UulC9BhyBroAj0DrwL6Z6U+tC9RpwBLoCjkDrwL+Y6k2tC9VrwBHoCjgCrQP/Yqo3tS5UrwFHoCvgCLQO/Iup3tS6UL0GHIGugCPQOvAvpnpT60L1GnAEugKOQOvAv5jqTa0L1WvAEegKOAKtA/9iqi+Ct3GHaWqkLVVHoMvhCLQO/IupjkCfg45AV9y+9ubexn4wtpBxdQT6HHQEuuL2tTf3NvaDsYWMqyPQ56Aj0BW3r725t7EfjC1kXB2BPgcdga64fe3NvY39YGwh4+oI9DnoCHTF7Wtv7m3sB2MLGVdHoM9BR6Arbl97c29jPxhbyLg6An0OOgJdcfvam3sb+8HYQsbVEehz0BHoitvX3tzb2A/GFjKujkCfg45AV9y+9ubexn4wtpBxdQT6HHQEuuL2tTf3NvaDsYWMqyPQ56Aj0BW3r725t7EfjC1kXB2BPgcdga64fe3NvY39YGwh4+oI9DnoCHTF7Wtv7m3sB2MLGVdHoM9BR6Arbl97c29jPxhbyLg6An0OOgJdcfvam3sb+8HYQsbVEehz0BHoitvX3tzb2A/GFjKujkCfg45AV9y+9ubexn4wtpBxdQT6HHQEuuL2tTf3NvaDsYWMqyPQ56Aj0BW3r725t7EfjC1kXB2BPgcdga64fe3NvY39YGwh4+oI9DnoCHTF7Wtv7m3sB2MLGVdHoM9BR6Arbl97c29jPzRoIdXCuG9l1bq4b6Q24Ah0BRyB1oEj0BJctS7uG6kNOAJdAUegdeAItARXrYv7RmoDjkBXwBFoHTgCLcFV6+K+kdqAI9AVcARaB45AS3DVurhvpDbgCHQFHIHWgSPQEly1Lu4bqQ04Al0BR6B14Ai0BFeti/tGagOOQFfAEWgdOAItwVXr4r6R2oAj0BVwBFoHjkBLcNW6uG+kNuAIdAUcgdaBI9ASXLUu7hupDTgCXQFHoHXgCLQEV62L+0ZqA45AV8ARaB04Ai3BVevivpHagCPQFXAEWgeOQEtw1bq4b6Q24Ah0BRyB1oEj0BJctS7uG6kNOAJdAUegdeAItARXrYv7RmoDjkBXwBFoHbi7QBXND9VVcPeN1AYcga6AN7Pb9NURaKG6ojkCrUZHoCtuX3tzb2M/INCK1RXNEWg1OgJdcfvam3sb+wGBVqyuaI5Aq9ER6Irb197c29gPCLRidUVzBFqNjkBX3L725t7GfkCgFasrmiPQanQEuuL2tTf3NvYDAq1YXdEcgVajI9AVt6+9ubexHxBoxeqK5gi0Gh2Brrh97c29jf2AQCtWVzRHoNXoCHTF7Wtv7m3sBwRasbqiOQKtRkegK25fe3NvYz8g0IrVFc0RaDU6Al1x+9qbexv7AYFWrK5ojkCr0RHoitvX3tzb2A8ItGJ1RXMEWo2OQFfcvvbm3sZ+QKAVqyuaI9BqdAS64va1N/c29gMCrVhd0RyBVqMj0PPCbdypmtlt+uoItFBd0fyJBCqFa1e9DTgCfeq5e1ZHoIXqiuYI9KFVbwOOQJ967p7VEWihuqI5An1o1duAI9CnnrtndQRaqK5ojkAfWvU24Aj0qefuWR2BFqormiPQh1a9DTgCfeq5e1ZHoIXqiuYI9KFVbwOOQJ967p7VEWihuqI5An1o1duAI9CnnrtndQRaqK5ojkAfWvU24Aj0qefuWR2BFqormiPQh1a9DTgCfeq5e1ZHoIXqiuYI9KFVbwOOQJ967p7VEWihuqI5An1o1duAP7dAF0Yxd6o/b3wXRtE8SekdLHrL4Qj0sVW+mOocgRaqK5pzBPrQqrcBf+4j0IWFjefuWR2BFqormiPQh1a9DTgCfeq5e1ZHoIXqiuYI9KFVbwOOQJ967p7VEWihuqJ5FwLV0pUjDX45Al00mWZ2m746Ai1UVzRHoA/SlSMNfjkCXTSZZnabvjoCLVRXNEegD9KVIw1+OQJdNJlmdpu+OgItVFc0R6AP0pUjDX45Al00mWZ2m746Ai1UVzRHoA/SlSMNfjkCXTSZZnabvjoCLVRXNEegD9KVIw1+OQJdNJlmdpu+OgItVFc0R6AP0pUjDX45Al00mWZ2m746Ai1UVzRHoA/SlSMNfjkCXTSZZnabvrq7QFVwBFqAN3JfR6DnhduYDAKtA0egF+ie1fUjRaAI1Kw6As3DEWgB3sh9HYGeF25jMgi0DhyBXqB7VtePFIEiULPqCDQPR6AFeCP3dQR6XriNySDQOnAEeoHuWV0/UgSKQM2qI9A8HIEW4I3c1xHoeeE2JoNA68AR6AW6Z3X9SBEoAjWrjkDzcARagDdyX0eg54XbmAwCrQNHoBfontX1I0WgCNSsOgLNwxFoAd7IfR2BnhduYzIItA4cgV6ge1bXjxSBIlCz6gg0D0egBXgj93UEel64jckg0DpwBHqB7lldP1IEikDNqiPQPByBFuCN3NcR6HnhNiaDQOvAEegFumd1/UgRKAI1q45A83AEWoA3cl9HoOeF25gMAq0DR6AX6J7V9SNFoAjUrDoCzcMRaAHeyH0dgZ4XbmMyCLQOHIFeoHtW148UgSJQs+oINA9HoAV4I/d1BHpeuI3JINA6cAR6ge5ZXT9SBIpAzaoj0DwcgRbgjdzXEeh54TYmg0DrwBHoBbpndf1IESgCNauOQPNwBFqAN3JfR6DnhduYDAKtA0egF+ie1fUjRaAI1Kw6As3DEWgB3sh9HYGeF25jMgi0DhyBXqB7VtePFIEiULPqCDQPR6AFeCP3dQR6XriNySDQOnAEeoHuWV0/UgSKQM2qI9A8HIEW4I3c1xHoeeE2JoNA68AR6AW6Z3X9SBEoAjWrjkDzcARagDdyX0eg54XbmAwCrQNHoBfontX1I0WgCNSsOgLNwxFoAd7IfR2BnhduYzIItA4cgV6ge1bXjxSBIlCz6gg0D0egBXgj93UEel64jckg0DpwBHqB7lldP1IEikBF1VV0BJqHI9ACvJFtikDPC7cxGQRacV0Q6Dnds7p+pAgUgYqqq+gINA9HoAV4I9sUgZ4XbmMyCLTiuiDQc7pndf1IESgCFVVX0RFoHo5AC/BGtikCPS/cxmQQaMV1QaDndM/q+pEiUAQqqq6iI9A8HIEW4I1sUwR6XriNySDQiuuCQM/pntX1I0WgCFRUXUVHoHk4Ai3AG9mmCPS8cBuTQaAV1wWBntM9q+tHikARqKi6io5A83AEWoA3sk0R6HnhNiaDQCuuCwI9p3tW148UgSJQUXUVHYHm4Qi0AG9kmyLQ88JtTAaBVlwXBHpO96yuHykCRaCi6io6As3DEWgB3sg2RaDnhbWTkdKlcAR6oboKjkALcASKQOvTpXAEeqG6Co5AC3AEikDr06VwBHqhugqOQAtwBIpA69OlcAR6oboKjkALcASKQOvTpXAEeqG6Co5AC3AEikDr06VwBHqhugqOQAtwBIpA69OlcAR6oboKjkALcASKQOvTpXAEeqG6Co5AC3AEikDr06VwBHqhugqOQAtwBIpA69OlcAR6oboKjkALcASKQOvTpXAEeqG6Co5AC3AEikDr06VwBHqhugqOQAtwBIpA69OlcAR6oboKjkALcASKQOvTpXAEeqG6Co5AC3AEikDr06VwBHqhugqOQAtwBIpA69OlcAR6oboKjkALcASKQOvTpXAEeqG6Co5AC3AEikDr06VwBHqhugqOQAtwBIpA69OlcAR6oboKjkALcASKQOvTpXAEeqG6Co5AC3AEikDr06VwBHqhugqOQAtwBIpA69OlcAR6oboKjkALcASKQOvTpXAEeqG6Co5AC3AEuiK/vb3e5Zuf7+9/+eHwMQKVwRHoheoqOAItwBFoPYF+eoNAnasj0DwcgRbgCLRCPr354583/7u7/i771wsLaycjpUvhCPRCdRUcgRbgCHR9Ngei32///278HwI1rY5A83AEWoAj0PV5f/3t3waPDsehCNS1OgLNwxFoAY5AV+eXH65/HP//7d+/OX8EFIFWhiPQC9VVcARagCPQ1Xk/PfS5ew5p1Okmf5iykKuYzBPRpXAxXRppdTu4cfUnGmnDqSbQ3QHo/d318Bjo9IzSPQIVwZ3vstLqdnDj6k800oZTTaB34yOghyPR96fPJS08ZFZM5nD4LqVL4ZzCX6iugnMKX4BzCr8yv73dn7JP+fRmMioClcAR6IXqKjgCLcAR6Mp8enP6rNHZnywsrJ2MlC6FI9AL1VVwBFqAI9CVOb96niNQ0+oINA9HoAU4Al2Z/dXz+8tAz5S6sLB2MlK6FI5AL1RXwRFoAY5A12V29fxOpe9OHxRdWFg7GSldCkegF6qr4Ai0AEeg6/LLD/sHPD+9Gcy5f1YegWrgCPRCdRUcgRbgCHRd5g94vs+/GRMCrQtHoBeqq+AItABHoOtydLw5vCHo+TsyLSysnYyULoUj0AvVVXAEWoAjUH0WFtZORkqXwhHoheoqOAItwBEoAq1Pl8IR6IXqKjgCLcARKAKtT5fCEeiF6io4Ai3AESgCrU+XwhHoheoqOAItwBEoAq1Pl8IR6IXqKjgCLcARKAKtT5fCEeiF6io4Ai3AESgCrU+XwhHoheoqOAItwBEoAq1Pl8IR6IXqKjgCLcARKAKtT5fCEeiF6io4Ai3AESgCrU+XwhHoheoqOAItwBEoAq1Pl8IR6IXqKjgCLcARKAKtT5fCEeiF6io4Ai3AESgCrU+XwhHoheoqOAItwBEoAq1Pl8KNLWRcXQE3rt7FRor5CIGmTuauoiPQPByBFuDO1WM+QqCpk7mr6Ag0D0egBbhz9ZiPEGjqZO4qOgLNwxFoAe5cPeYjBJo6mbuKjkDzcARagDtXj/kIgaZO5q6iI9A8HIEW4M7VYz5CoKmTuavoCDQPR6AFuHP1mI8QaOpk7io6As3DEWgB7lw95iMEmjqZu4qOQPNwBFqAO1eP+QiBpk7mrqIj0DwcgRbgztVjPkKgqZO5q+gINA9HoAW4c/WYjxBo6mTuKjoCzcMRaAHuXD3mIwSaOpm7io5A83AEWoA7V4/5CIGmTuauoiPQPByBFuDO1WM+QqCpk7mr6Ag0D0egBbhz9ZiPEGjqZO4qOgLNwxFoAe5cPeYjBJo6mbuKjkDzcARagDtXj/kIgaZO5q6iI9A8HIEW4M7VYz5CoKmTuavoCDQPR6AFuHP1mI8QaOpk7io6As3DEWgB7lw95iMEmjqZu4qOQPNwBFqAO1eP+QiBpk7mrqIj0DwcgRbgztVjPkKgqZO5q+gINA9HoAW4c/WYjxBo6mTuKjoCzcMRaAHuXD3mIwSaOpm7io5A83AEWoA7V4/5CIGmTuauoiPQPByBFuDO1WM+QqCpk7mr6Ag0D0egBbhz9ZiPEGjqZO4qOgLNwxFoAe5cPeYjBJo6mbuKjkDzcARagDtXj/kIgaZO5q6iI9A8HIEW4M7VYz5CoKmTuavoCDQPR6AFuHP1mI8QaOpk7io6As3DEWgB7lw95iMEmjqZu4qOQPNwBFqAO1eP+QiBpk7mrqIj0DwcgRbgztVjPkKgqZO5q+gINA9HoAW4c/WYjxBo6mTuKjoCzcMRaAHuXD3mIwSaOpm7io5A83AEWoA7V4/5CIGmTuauoiPQPByBFuDO1WM+QqCpk7mr6Ag0D0egBbhz9ZiPEGjqZO4qOgLNwxFoAe5cPeYjBJo6mbuKjkDzcARagDtXj/kIgaZO5q6iI9A8HIEW4M7VYz5CoKmTuavoCDQPR6AFuHP1mI+WCPTD1dXVawQapkvhxhYyrq6AG1fvYiPFfBQT6IetOLf+vLr6GoFG6VK4sYWMqyvgxtW72EgxH4UEerP15q8/DQL96k8INEiXwo0tZFxdATeu3sVGivkoItDtoeeL+48vr37/18+vNh8h0BhdCje2kHF1Bdy4ehcbKeajiEBvhoc+b6/G8/jf/xWBxuhSuLGFjKsr4MbVu9hIMR8FBLo5d389aPR3f7nfHIdu/4tAI3Qp3NhCxtUVcOPqXWykmI8CAv38avu453TyjkDjdCnc2ELG1RVw4+pdbKSYj8IC/TA+AY9A43Qp3NhCxtUVcOPqXWykmI8CAh1P4W/H599veAw0TJfCjS1kXF0BN67exUaK+Sgg0EGamzP4rTlv118IurCwdvGkdCnc2ELG1RVw4+pdbKSYjyICHa+g35hzY1GuA43TpXBjCxlXV8CNq3exkWI+igh0vIT+d38ZPlj9Ws6FhbWLJ6VL4cYWMq6ugBtX72IjxXwUEehwJejw0OfN2meQEGhtuLGFjKsr4MbVu9hIMR/FBFozCwtrF09Kl8KNLWRcXQE3rt7FRor5CIGmTuauoiPQPByBFuDO1WM+QqCpk7mr6Ag0D0egBbhz9ZiPEGjqZO4qOgLNwxFoAe5cPeajgEA/v7qq8NwRAtXAjS1kXF0BN67exUaK+Sgm0PEqJgS6jC6FG1vIuLoCbly9i40U81FAoMPrj+o5dGFh7eJJ6VK4sYWMqyvgxtW72EgxH4UEenDo2hfCI9DacGMLGVdXwI2rd7GRYj6KCrSeQxcW1i6elC6FG1vIuLoCbly9i40U89ECgd5v38xu/bn8wsLaxZPSpXBjCxlXV8CNq3exkWI+WiLQ8dmktYehCwtrF09Kl8KNLWRcXQE3rt7FRor5KCzQ6S2Ztu9mtxXp8l8tt7CwdvGkdCnc2ELG1RVw4+pdbKSYj2ICvT3Yc/p8+Vn8wsLaxZPSpXBjCxlXV8CNq3exkWI+Cgh0d+Y+eyfl2xXn8AsLaxdPSpfCjS1kXF0BN67exUaK+Sgq0LXvQ49ARXBjCxlXV8CNq3exkWI+Cgm0nj0RaG24sYWMqyvgxtW72EgxHwUE2kYUi/dEdCmc6hfodnDj6j2MdF0eL9DP/x2/1jhIl8KND+OMqyvgxtW72EgxH8UEenN1CL8XPkqXwo0tZFxdATeu3sVGivkoItDxl8oh0KV0KdzYQsbVFXDj6l1spJiPIgK9nftz9a/lXFhYu3hSuhRubCHj6gq4cfUuNlLMRwGBbg5Av/rT/Yfti48+v1p/PdPCwtrFk9KlcGMLGVdXwI2rd7GRYj4KCHS05udX23P3X3/auBSBxuhSuLGFjKsr4MbVu9hIMR+FBLqV5qTODyteBY9ABXBjCxlXV8CNq3exkWI+Cgv0/mZ49PPzK94PNEqXwo0tZFxdATeu3sVGivkoLtDb4eHP8UwegUboUrixhYyrK+DG1bvYSDEfBQT660+DOsc3EPn4EoFG6VK4sYWMqyvgxtW72EgxHwUEur2M6cXwbvRfb2XKKXyULoUbW8i4ugJuXL2LjRTzUUSg27dj+t1fdpfT8yRSlC6FG9BvpvMAACAASURBVFvIuLoCbly9i40U81FEoNt3o98cd36o87uNFxbWLp6ULoUbW8i4ugJuXL2LjRTzUUigmzP37XHn9kh0/e81XlhYu3hSuhRubCHj6gq4cfUuNlLMRzGB1szCwtrFk9KlcGMLGVdXwI2rd7GRYj5CoKmTuavoCDQPR6AFuHP1mI8QaOpk7io6As3DEWgB7lw95qNHCXT2i+B5O7vldCnc2ELG1RVw4+pdbKSYjxBo6mTuKjoCzcMRaAHuXD3mIwSaOpm7io5A83AEWoA7V4/56FEC3eV292uNP1T4/cYLC2sXT0qXwo0tZFxdATeu3sVGivkoItAPh6POX3/iHenDdCnc2ELG1RVw4+pdbKSYjwICPZLmB14LH6ZL4cYWMq6ugBtX72IjxXwUEOj0dnZjeDemOF0KN7aQcXUF3Lh6Fxsp5qOQQI+OQBFolC6FG1vIuLoCbly9i40U81FAoPO3sNvIlFP4KF0KN7aQcXUF3Lh6Fxsp5qOAQIdfa/z65CME+ni6FG5sIePqCrhx9S42UsxHEYHu3gm0ytuBItC6cGMLGVdXwI2rd7GRYj6KCHRu0NX+RKB14cYWMq6ugBtX72IjxXwUEuheoev1iUArw40tZFxdATeu3sVGivkoKNCKWVhYu3hSuhRubCHj6gq4cfUuNlLMRwg0dTJ3FR2B5uEItAB3rh7zEQJNncxdRUegeTgCLcCdq8d8FBPoDe/GtIIuhRtbyLi6Am5cvYuNFPNRRKDH72qHQKN0KdzYQsbVFXDj6l1spJiPIgK95f1AV9GlcGMLGVdXwI2rd7GRYj4KCHR7CdPalx8hUBXc2ELG1RVw4+pdbKSYjwICPXozEQQap0vhxhYyrq6AG1fvYiPFfBQS6Ozt7BBonC6FG1vIuLoCbly9i40U81FAoPc3HIGuokvhxhYyrq6AG1fvYiPFfBQR6Pp3oUegMrixhYyrK+DG1bvYSDEfRQR6f7v6qXcEqoIbW8i4ugJuXL2LjRTz0aMEyq81rkKXwo0tZFxdATeu3sVGivkIgaZO5q6iI9A8HIEW4M7VYz5CoKmTuavoCDQPR6AFuHP1mI8eJVBJFhbWLp6ULoUbW8i4ugJuXL2LjRTzEQJNncxdRUegeTgCLcCdq8d8hEBTJ3NX0RFoHo5AC3Dn6jEfBQT6+dXsYc9bfq1xmC6FG1vIuLoCbly9i40U89FSgd7wJFKYLoUbW8i4ugJuXL2LjRTz0eMEmnsaHoFG6VK4sYWMqyvgxtW72EgxHz1OoCdvBVrlN3MuLKxdPCldCje2kHF1Bdy4ehcbKeajRwr0/BB09cviFxbWLp6ULoUbW8i4ugJuXL2LjRTz0SMFOkq04ivhEWhluLGFjKsr4MbVu9hIMR8h0NTJ3FV0BJqHI9AC3Ll6zEcBgd7fINBVdCnc2ELG1RVw4+pdbKSYjwIC/fzq6msEuoIuhRtbyLi6Am5cvYuNFPMRAk2dzF1FR6B5OAItwJ2rx3wUEOj9De9Iv4ouhRtbyLi6Am5cvYuNFPNRRKC8I/06uhRubCHj6gq4cfUuNlLMRwGBnlwLyiuRonQp3NhCxtUVcOPqXWykmI8QaOpk7io6As3DEWgB7lw95iMEmjqZu4qOQPNwBFqAO1eP+Sgg0MpZWFi7eFK6FG5sIePqCrhx9S42UsxHCDR1MncVHYHm4Qi0AHeuHvMRAk2dzF1FR6B5OAItwJ2rx3z0KIF+frV9xJPHQFfSpXBjCxlXV8CNq3exkWI+QqCpk7mr6Ag0D0egBbhz9ZiPEGjqZO4qOgLNwxFoAe5cPeajRwlUkoWFtYsnpUvhxhYyrq6AG1fvYiPFfIRAUydzV9ERaB6OQAtw5+oxHyHQ1MncVXQEmocj0ALcuXrMR3GBftg+APoagcbpUrixhYyrK+DG1bvYSDEfPVagv/600eb27UBv6jyFhEArw40tZFxdATeu3sVGivnokQL9+HL6VZz732/Mb+UM06VwYwsZV1fAjat3sZFiPnqcQPdXMP03P1199afRp2vP4hcW1i6elC6FG1vIuLoCbly9i40U89HjBHo7HnHe7s/dN0Z9gUCDdCnc2ELG1RVw4+pdbKSYjx4l0F9/ms7Yb6523lz/6z0WFtYunpQuhRtbyLi6Am5cvYuNFPPRowS6P978sD9zX//bPRYW1i6elC6FG1vIuLoCbly9i40U89FjBTr+Ps6PLxHocroUbmwh4+oKuHH1LjZSzEcINHUydxUdgebhCLQAd64e8xECTZ3MXUVHoHk4Ai3AnavHfIRAUydzV9ERaB6OQAtw5+oxHyHQ1MncVXQEmocj0ALcuXrMRwg0dTJ3FR2B5uEItAB3rh7z0WMFeh4EGqVL4cYWMq6ugBtX72IjxXwkEegvP1wP+ebn/WffI1DT6gg0D0egBbhz9ZiPJAL99GYm0OmTb/+GQJVwYwsZV1fAjat3sZFiPnqUQKO5u/5u//Hm+PO7waKnx6ALC2sXT0qXwo0tZFxdATeu3sVGivlIItB3M1vejceen96M5/MIVAQ3tpBxdQXcuHoXGynmI4VAf3v7xz+fyvS3t9c/IlAh3NhCxtUVcOPqXWykmI8UAv3lh2///s30COhepu9Pz+EXFtYunpQuhRtbyLi6Am5cvYuNFPORQqC755C2x5y//DCdur/fPS76hykL4YrFeyK6FE71C3Q7uHH1Hka6LlUEejdetfTpzebgcy/QOwQqhVP9At0Obly9h5GuSxWB7g42t2ft5wLdZeEhs2LxujjzUNE5hc/DOYUvwJ2rx3ykEOgun958+zcE6n6XRaB5OAItwJ2rx3ykFeg3P58/BopAJXBjCxlXV8CNq3exkWI+epRAf/1pejORqEC//RvPwrvfZRFoHo5AC3Dn6jEfPUqg+3djelT2zhzO2t+N139yHahrdQSahyPQAty5esxHAYF+fvXIN2DavRBpcCevRDKvjkDzcARagDtXj/nosQL9/V8fL9BPb4ajzVGdvBbevDoCzcMRaAHuXD3mo0cJdPv74CPvxvR+/m52d9e8G5NzdQSahyPQAty5esxHjxPox5exN1Qe3gL0u/knvB+oa3UEmocj0ALcuXrMR48TaM6gvCN9lC6FG1vIuLoCbly9i40U89EjBbrNox8DRaB5uhRubCHj6gq4cfUuNlLMRwg0dTJ3FR2B5uEItAB3rh7zUUCglbOwsHbxpHQp3NhCxtUVcOPqXWykmI+CAv31p+Hxz9//FYHG6VK4sYWMqyvgxtW72EgxH8UEert/CukFAg3TpXBjCxlXV8CNq3exkWI+Cgn0dvYk/JIXxyNQHdzYQsbVFXDj6l1spJiPIgLdXsv09c6kX/0JgQbpUrixhYyrK+DG1bvYSDEfRQR6c7DmxqVrT+IXFtYunpQuhRtbyLi6Am5cvYuNFPNRQKBHb2p3u/qJpIWFtYsnpUvhxhYyrq6AG1fvYiPFfBQQ6OdXs9P2jy95JVKULoUbW8i4ugJuXL2LjRTzEQJNncxdRUegeTgCLcCdq8d8FBAop/Ar6VK4sYWMqyvgxtW72EgxHwUEypNIK+lSuLGFjKsr4MbVu9hIMR9FBMplTOvoUrixhYyrK+DG1bvYSDEfRQTKhfTr6FK4sYWMqyvgxtW72EgxH4UEyks5V9GlcGMLGVdXwI2rd7GRYj6KCZQ3E1lDl8KNLWRcXQE3rt7FRor5KCjQillYWLt4UroUbmwh4+oKuHH1LjZSzEcINHUydxUdgebhCLQAd64e8xECTZ3MXUVHoHk4Ai3AnavHfIRAUydzV9ERaB6OQAtw5+oxHyHQ1MncVXQEmocj0ALcuXrMRwg0dTJ3FR2B5uEItAB3rh7zEQJNncxdRUegeTgCLcCdq8d8hEBTJ3NX0RFoHo5AC3Dn6jEfIdDUydxVdASahyPQAty5esxHEYHerH0LUASqgxtbyLi6Am5cvYuNFPNRQKCfX61/BxEEqoIbW8i4ugJuXL2LjRTzEQJNncxdRUegeTgCLcCdq8d8FBDo/U2VNxFBoBK4sYWMqyvgxtW72EgxH0UEen97VfFR0IWFtYsnpUvhxhYyrq6AG1fvYiPFfBQQ6OYUfh5+qVyULoUbW8i4ugJuXL2LjRTzEQJNncxdRUegeTgCLcCdq8d8hEBTJ3NX0RFoHo5AC3Dn6jEfBQRaOQsLaxdPSpfCjS1kXF0BN67exUaK+QiBpk7mrqIj0DwcgRbgztVjPkKgqZO5q+gINA9HoAW4c/WYj6ICvRl+I/xNhSvqFxbWLp6ULoUbW8i4ugJuXL2LjRTzUUygw681/upPv/5U4YLQhYW1iyelS+HGFjKuroAbV+9iI8V8FBLo+Gvhv/rT9vn41S9KWlhYu3hSuhRubCHj6gq4cfUuNlLMRxGBfny5OfD8/GpzCr816GsEGqRL4cYWMq6ugBtX72IjxXwUEejwWvhBoPebk/gXCDRIl8KNLWRcXQE3rt7FRor5KCDQjTRf308Cvf/AhfRhuhRubCHj6gq4cfUuNlLMRwGBjuqcBPrxJQKN0qVwYwsZV1fAjat3sZFiPkKgqZO5q+gINA9HoAW4c/WYjwICPTqFv139NPzCwtrFk9KlcGMLGVdXwI2rd7GRYj4KCPT+Zvu45yjQjy95EilMl8KNLWRcXQE3rt7FRor5KCLQjTW314BuBHo7vB4JgcboUrixhYyrK+DG1bvYSDEfRQQ6XUg/ZvWLORcW1i6elC6FG1vIuLoCbly9i40U81FIoDODrn8x/MLC2sWT0qVwYwsZV1fAjat3sZFiPooJdHgzkasKr+NEoLXhxhYyrq6AG1fvYiPFfBQVaL0sLKxdPCldCje2kHF1Bdy4ehcbKeYjBJo6mbuKjkDzcARagDtXj/koKNBffxpO4ddewoRAq8ONLWRcXQE3rt7FRor5KCTQSZ91FLqwsHbxpHQp3NhCxtUVcOPqXWykmI8iAp35s4JBFxbWLp6ULoUbW8i4ugJuXL2LjRTzUUSg24uYXp98hEAfT5fCjS1kXF0BN67exUaK+Sgg0M0B6P7ypc+veC18mC6FG1vIuLoCbly9i40U81FAoBtpHo46eT/QOF0KN7aQcXUF3Lh6Fxsp5qOQQGevf+ft7OJ0KdzYQsbVFXDj6l1spJiPAgId385uygdO4cN0KdzYQsbVFXDj6l1spJiPAgKdn7YfyRSBPo4uhRtbyLi6Am5cvYuNFPNRRKDbJ9/HNxH5+JJ3Y4rTpXBjCxlXV8CNq3exkWI+epRAt7/F+Cw8BhqlS+HGFjKuroAbV+9iI8V8hEBTJ3NX0RFoHo5AC3Dn6jEfIdDUydxVdASahyPQAty5esxHjxKoJAsLaxdPSpfCjS1kXF0BN67exUaK+QiBpk7mrqIj0DwcgRbgztVjPkKgqZO5q+gINA9HoAW4c/WYj2ICveEx0BV0KdzYQsbVFXDj6l1spJiPIgI9fi4JgUbpUrixhYyrK+DG1bvYSDEfRQR6w7Pwq+hSuLGFjKsr4MbVu9hIMR8FBPrrT1ezdxNZnYWFtYsnpUvhxhYyrq6AG1fvYiPFfBQQ6NHb2SHQOF0KN7aQcXUF3Lh6Fxsp5qOQQGsegCLQunBjCxlXV8CNq3exkWI+Cgj0/oYj0FV0KdzYQsbVFXDj6l1spJiPIgJd/x6gCFQGN7aQcXUF3Lh6Fxsp5qOIQO9vVz/1jkBVcGMLGVdXwI2rd7GRYj4KCXT4bZxcxrSULoUbW8i4ugJuXL2LjRTzUUSgXEi/ji6FG1vIuLoCbly9i40U81FEoFxIv44uhRtbyLi6Am5cvYuNFPNRQKBcSL+SLoUbW8i4ugJuXL2LjRTzUUCgXEi/ki6FG1vIuLoCbly9i40U81FIoFxIv4ouhRtbyLi6Am5cvYuNFPNRQKCVL6RfGMXiPRFdCqf6Bbod3Lh6DyNdl6JAP77kQvo1dCnc+DDOuLoCbly9i40U81FEoBuDVjyJX1hYu3hSuhRubCHj6gq4cfUuNlLMRwGBnvxuTi5jitKlcGMLGVdXwI2rd7GRYj5CoKmTuavoCDQPR6AFuHP1mI8QaOpk7io6As3DEWgB7lw95qOAQCtnYWHt4knpUrixhYyrK+DG1bvYSDEfIdDUydxVdASahyPQAty5esxHCDR1MncVHYHm4Qi0AHeuHvMRAk2dzF1FR6B5OAItwJ2rx3wUEChPIq2kS+HGFjKuroAbV+9iI8V8hEBTJ3NX0RFoHo5AC3Dn6jEfIdDUydxVdASahyPQAty5esxHAYEeuXT9azoXFtYunpQuhRtbyLi6Am5cvYuNFPPRMoHe//rTaoMuLKxdPCldCje2kHF1Bdy4ehcbKeajhQK9/3D1AoEG6VK4sYWMqyvgxtW72EgxHy0V6MeXPAYapUvhxhYyrq6AG1fvYiPFfLRUoOt/RfzCwtrFk9KlcGMLGVdXwI2rd7GRYj5aKNAPV1dr31x5YWHt4knpUrixhYyrK+DG1bvYSDEfBQR6chnT1+v8iUDrwo0tZFxdATeu3sVGivlosUDXnsEj0LpwYwsZV1fAjat3sZFiPloq0LXPwSPQynBjCxlXV8CNq3exkWI+Cgi0chYW1i6elC6FG1vIuLoCbly9i40U8xECTZ3MXUVHoHk4Ai3AnavHfIRAUydzV9ERaB6OQAtw5+oxHyHQ1MncVXQEmocj0ALcuXrMR48S6MkFTLwb0zK6FG5sIePqCrhx9S42UsxHCDR1MncVHYHm4Qi0AHeuHvMRAk2dzF1FR6B5OAItwJ2rx3z0KIGe5gOvRFpCl8KNLWRcXQE3rt7FRor5aIFAf/2pxguREGhduLGFjKsr4MbVu9hIMR/FBVrl8BOB1oYbW8i4ugJuXL2LjRTzUVSglQ4/EWhtuLGFjKsr4MbVu9hIMR8FBVrr8BOB1oYbW8i4ugJuXL2LjRTzUUigw+Hn2vcBRaASuLGFjKsr4MbVu9hIMR9FBHq7Pfx8XUefCLQy3NhCxtUVcOPqXWykmI8eL9DhYtBah58ItDbc2ELG1RVw4+pdbKSYjx4t0LqHnwi0NtzYQsbVFXDj6l1spJiPHinQ2oefCLQ23NhCxtUVcOPqXWykmI8eJ9Dqh58ItDbc2ELG1RVw4+pdbKSYjx4lUF4LX4UuhRtbyLi6Am5cvYuNFPMRAk2dzF1FR6B5OAItwJ2rx3yEQFMnc1fREWgejkALcOfqMR89SqCSLCysXTwpXQo3tpBxdQXcuHoXGynmIwSaOpm7io5A83AEWoA7V4/5CIGmTuauoiPQPByBFuDO1WM+QqCpk7mr6Ag0D0egBbhz9ZiPEGjqZO4qOgLNwxFoAe5cPeYjBJo6mbuKjkDzcARagDtXj/kIgaZO5q6iI9A8HIEW4M7VYz5CoKmTuavoCDQPR6AFuHP1mI8QaOpk7io6As3DEWgB7lw95iMEmjqZu4qOQPNwBFqAO1eP+QiBpk7mrqIj0DwcgRbgztVjPkKgqZO5q+gINA9HoAW4c/WYjxBo6mTuKjoCzcMRaAHuXD3mIwSaOpm7io5A83AEWoA7V4/5CIGmTuauoiPQPByBFuDO1WM+QqCpk7mr6Ag0D0egBbhz9ZiPEGjqZO4qOgLNwxFoAe5cPeYjBJo6mbuKjkDzcARagDtXj/kIgaZO5q6iI9A8HIEW4M7VYz5CoKmTuavoCDQPR6AFuHP1mI8QaOpk7io6As3DEWgB7lw95iMEmjqZu4qOQPNwBFqAO1eP+QiBpk7mrqIj0DwcgRbgztVjPkKgqZO5q+gINA9HoAW4c/WYjxBo6mTuKjoCzcMRaAHuXD3mIwSaOpm7io5A83AEWoA7V4/5CIGmTuauoiPQPByBFuDO1WM+QqCpk7mr6Ag0D0egBbhz9ZiPEGjqZO4qOgLNwxFoAe5cPeYjBJo6mbuKjkDzcARagDtXj/kIgaZO5q6iI9A8HIEW4M7VYz5CoKmTuavoCDQPR6AFuHP1mI8QaOpk7io6As3DEWgB7lw95iMEmjqZu4qOQPNwBFqAO1eP+QiBpk7mrqIj0DwcgRbgztVjPkKgqZO5q+gINA9HoAW4c/WYjxBo6mTuKjoCzcMRaAHuXD3mIwSaOpm7io5A83AEWoA7V4/5CIGmTuauoiPQPByBFuDO1WM+QqCpk7mr6Ag0D0egBbhz9ZiPEGjqZO4qOgLNwxFoAe5cPeYjBJo6mbuKjkDzcARagDtXj/kIgaZO5q6iI9A8HIEW4M7VYz5CoKmTuavoCDQPR6AFuHP1mI8QaOpk7io6As3DEWgB7lw95iONQD+9ub6+/ubn4eNffrgeMn2KQDVwYwsZV1fAjat3sZFiPpII9N2ozOvv9zJFoLbVEWgejkALcOfqMR8pBHo3qvPd9R//PHz2XfarFhbWLp6ULoUbW8i4ugJuXL2LjRTzkUKg78ZDz83/v5t9hkClcGMLGVdXwI2rd7GRYj4SCPS3t8OR53Tsuf8MgUrhxhYyrq6AG1fvYiPFfCQQ6D6DQH/54du/f3P+CCgCrQw3tpBxdQXcuHoXGynmI6FAf3t7/ePhOaTtx0P+MGUhVbF4T0SXwql+gW4HN67ew0jXpaZA319/+7f9M0qf3uzO5BGoBE71C3Q7uHH1Hka6LhUFejc+Cf9+ehL+/elzSQsPmRWL18WZh4rOKXwezil8Ae5cPeYjmUAnf+7z6c32eBSBquDGFjKuroAbV+9iI8V8pBLo+xN/bgR68jzSwsLaxZPSpXBjCxlXV8CNq3exkWI+0gj0t7dnT7tzBGpaHYHm4Qi0AHeuHvORRKAbf+5seXxRKAKVwY0tZFxdATeu3sVGivlIIdCZP+cvS/rx+KsWFtYunpQuhRtbyLi6Am5cvYuNFPORQqDvZ/7cXge6Nefd9ckZPAKtCze2kHF1Bdy4ehcbKeYjgUB371+3yVaa7/NvxoRA68KNLWRcXQE3rt7FRor5SCDQu+sjgY5CPX9HpoWFtYsnpUvhxhYyrq6AG1fvYiPFfCQQ6COzsLB28aR0KdzYQsbVFXDj6l1spJiPEGjqZO4qOgLNwxFoAe5cPeYjBJo6mbuKjkDzcARagDtXj/kIgaZO5q6iI9A8HIEW4M7VYz5CoKmTuavoCDQPR6AFuHP1mI8QaOpk7io6As3DEWgB7lw95iMEmjqZu4qOQPNwBFqAO1eP+QiBpk7mrqIj0DwcgRbgztVjPkKgqZO5q+gINA9HoAW4c/WYjxBo6mTuKjoCzcMRaAHuXD3mIwSaOpm7io5A83AEWoA7V4/5CIGmTuauoiPQPByBFuDO1WM+QqCpk7mr6Ag0D0egBbhz9ZiPEGjqZO4qOgLNwxFoAe5cPeYjBJo6mbuKjkDzcARagDtXj/kIgaZO5q6iI9A8HIEW4M7VYz5CoKmTuavoCDQPR6AFuHP1mI8QaOpk7io6As3DEWgB7lw95iMEmjqZu4qOQPNwBFqAO1eP+QiBpk7mrqIj0DwcgRbgztVjPkKgqZO5q+gINA9HoAW4c/WYjxBo6mTuKjoCzcMRaAHuXD3mIwSaOpm7io5A83AEWoA7V4/5CIGmTuauoiPQPByBFuDO1WM+QqCpk7mr6Ag0D0egBbhz9ZiPEGjqZO4qOgLNwxFoAe5cPeYjBJo6mbuKjkDzcARagDtXj/kIgaZO5q6iI9A8HIEW4M7VYz5CoKmTuavoCDQPR6AFuHP1mI8QaOpk7io6As3DEWgB7lw95iMEmjqZu4qOQPNwBFqAO1eP+QiBpk7mrqIj0DwcgRbgztVjPkKgqZO5q+gINA9HoAW4c/WYjxBo6mTuKjoCzcMRaAHuXD3mIwSaOpm7io5A83AEWoA7V4/5CIGmTuauoiPQPByBFuDO1WM+QqCpk7mr6Ag0D0egBbhz9ZiPEGjqZO4qOgLNwxFoAe5cPeYjBJo6mbuKjkDzcARagDtXj/kIgaZO5q6iI9A8HIEW4M7VYz5CoKmTuavoCDQPR6AFuHP1mI8QaOpk7io6As3DEWgB7lw95iMEmjqZu4qOQPNwBFqAO1eP+QiBpk7mrqIj0DwcgRbgztVjPkKgqZO5q+gINA9HoAW4c/WYjxBo6mTuKjoCzcMRaAHuXD3mIwSaOpm7io5A83AEWoA7V4/5CIGmTuauoiPQPByBFuDO1WM+QqCpk7mr6Ag0D0egBbhz9ZiPEGjqZO4qOgLNwxFoAe5cPeYjBJo6mbuKjkDzcARagDtXj/kIgaZO5q6iI9A8HIEW4M7VYz5CoKmTuavoCDQPR6AFuHP1mI8QaOpk7io6As3DEWgB7lw95iMEmjqZu4qOQPNwBFqAO1eP+QiBpk7mrqIj0DwcgRbgztVjPkKgqZO5q+gINA9HoAW4c/WYjxBo6mTuKjoCzcMRaAHuXD3mIwSaOpm7io5A83AEWoA7V4/5CIGmTuauoiPQPByBFuDO1WM+QqCpk7mr6Ag0D0egBbhz9ZiPEGjqZO4qOgLNwxFoAe5cPeYjBJo6mbuKjkDzcARagDtXj/kIgaZO5q6iI9A8HIEW4M7VYz5CoKmTuavoCDQPR6AFuHP1mI8QaOpk7io6As3DEWgB7lw95iMEmjqZu4qOQPNwBFqAO1eP+QiBpk7mrqIj0DwcgRbgztVjPkKgqZO5q+gINA9HoAW4c/WYjxBo6mTuKjoCzcMRaAHuXD3mIwSaOpm7io5A83AEWoA7V4/5CIGmTuauoiPQPByBFuDO1WM+QqCpk7mr6Ag0D0egBbhz9ZiPEGjqZO4qOgLNwxFoAe5cPeYjBJo6mbuKjkDzcARagDtXj/kIgaZO5q6iI9A8HIEW4M7VYz5CoKmTuavoCDQPR6AFuHP1mI8QaOpk7io6As3DEWgB7lw95iMEmjqZu4qOQPNwBFqAO1eP+QiBpk7mrqIj0DwcgRbgztVjPkKgqZO5q+gINA9HoAW4c/WYjxBo6mTuKjoCH+w6lQAAFSxJREFUzcMRaAHuXD3mIwSaOpm7io5A83AEWoA7V4/5CIGmTuauoiPQPByBFuDO1WM+ej6BLoxi8Z6ILoVT/QLdDm5cvYeRrgtHoEK6FG58GGdcXQE3rt7FRor5CIGmTuauoiPQPByBFuDO1WM+QqCpk7mr6Ag0D0egBbhz9ZiPEGjqZO4qOgLNwxFoAe5cPeYjBJo6mbuKjkDzcARagDtXj/kIgaZO5q6iI9A8HIEW4M7VYz5CoKmTuavoCDQPR6AFuHP1mI8QaOpk7io6As3DEWgB7lw95iMEmjqZu4qOQPNwBFqAO1eP+QiBpk7mrqIj0DwcgRbgztVjPkKgqZO5q+gINA9HoAW4c/WYjxBo6mTuKjoCzcMRaAHuXD3mIwSaOpm7io5A83AEWoA7V4/5CIGmTuauoiPQPByBFuDO1WM+QqCpk7mr6Ag0D0egBbhz9ZiPEGjqZO4qOgLNwxFoAe5cPeYjBJo6mbuKjkDzcARagDtXj/kIgaZO5q6iI9A8HIEW4M7VYz5CoKmTuavoCDQPR6AFuHP1mI8QaOpk7io6As3DEWgB7lw95iMEmjqZu4qOQPNwBFqAO1eP+QiBpk7mrqIj0DwcgRbgztVjPkKgqZO5q+gINA9HoAW4c/WYjxBo6mTuKjoCzcMRaAHuXD3mIwSaOpm7io5A83AEWoA7V4/5CIGmTuauoiPQPByBFuDO1WM+QqCpk7mr6Ag0D0egBbhz9ZiPEGjqZO4qOgLNwxFoAe5cPeYjBJo6mbuKjkDzcARagDtXj/kIgaZO5q6iI9A8HIEW4M7VYz5CoKmTuavoCDQPR6AFuHP1mI8QaOpk7io6As3DEWgB7lw95iMEmjqZu4qOQPNwBFqAO1eP+QiBpk7mrqIj0DwcgRbgztVjPkKgqZO5q+gINA9HoAW4c/WYjxBo6mTuKjoCzcMRaAHuXD3mIwSaOpm7io5A83AEWoA7V4/5CIGmTuauoiPQPByBFuDO1WM+QqCpk7mr6Ag0D0egBbhz9ZiPEGjqZO4qOgLNwxFoAe5cPeYjBJo6mbuKjkDzcARagDtXj/kIgaZO5q6iI9A8HIEW4M7VYz5CoKmTuavoCDQPR6AFuHP1mI8QaOpk7io6As3DEWgB7lw95iMEmjqZu4qOQPNwBFqAO1eP+QiBpk7mrqIj0DwcgRbgztVjPkKgqZO5q+gINA9HoAW4c/WYjxBo6mTuKjoCzcMRaAHuXD3mIwSaOpm7io5A83AEWoA7V4/5CIGmTuauoiPQPByBFuDO1WM+QqCpk7mr6Ag0D0egBbhz9ZiPEGjqZO4qOgLNwxFoAe5cPeYjBJo6mbuKjkDzcARagDtXj/kIgaZO5q6iI9A8HIEW4M7VYz5CoKmTuavoCDQPR6AFuHP1mI8QaOpk7io6As3DEWgB7lw95iMEmjqZu4qOQPNwBFqAO1eP+QiBpk7mrqIj0DwcgRbgztVjPkKgqZO5q+gINA9HoAW4c/WYjxBo6mTuKjoCzcMRaAHuXD3mIwSaOpm7io5A83AEWoA7V4/5CIGmTuauoiPQPByBFuDO1WM+QqCpk7mr6Ag0D0egBbhz9ZiPEGjqZO4qOgLNwxFoAe5cPeYjBJo6mbuKjkDzcARagDtXj/kIgaZO5q6iI9A8HIEW4M7VYz5CoKmTuavoCDQPR6AFuHP1mI8QaOpk7io6As3DEWgB7lw95iMEmjqZu4qOQPNwBFqAO1eP+QiBpk7mrqIj0DwcgRbgztVjPkKgqZO5q+gINA9HoAW4c/WYjxBo6mTuKjoCzcMRaAHuXD3mIwSaOpm7io5A83AEWoA7V4/5CIGmTuauoiPQPByBFuDO1WM+QqCpk7mr6Ag0D0egBbhz9ZiPEGjqZO4qOgLNwxFoAe5cPeYjBJo6mbuKjkDzcARagDtXj/kIgaZO5q6iI9A8HIEW4M7VYz5CoKmTuavoCDQPR6AFuHP1mI8QaOpk7io6As3DEWgB7lw95iMEmjqZu4qOQPNwBFqAO1eP+QiBpk7mrqIj0DwcgRbgztVjPkKgqZO5q+gINA9HoAW4c/WYjxBo6mTuKjoCzcMRaAHuXD3mIwSaOpm7io5A83AEWoA7V4/5CIGmTuauoiPQPByBFuDO1WM+QqCpk7mr6Ag0D0egBbhz9ZiPnkCgv/xwfX39PQI1rY5A83AEWoA7V4/5SC/QT2+ut/n2bwhUCTe2kHF1Bdy4ehcbKeYjuUA3x5/fDRY9PQZdWFi7eFK6FG5sIePqCrhx9S42UsxHcoHejceen9588zMCFcKNLWRcXQE3rt7FRor5SC7Qd+Oh529vr39EoEK4sYWMqyvgxtW72EgxH6kF+tvbP/55+OD96Tn8wsLaxZPSpXBjCxlXV8CNq3exkWI+Ugv0lx+mU/f324dCt/nDlIVAxeI9EV0Kp/oFuh3cuHoPI10XnUDvKgmUEEIazRMIdJeFh8yP/2IlXEtvqnpD62Jcval1oXoN+BOfwiPQRuDGFjKu3tS6UL0G/LkeA0Wgzws3tpBx9abWheo14KbPwj/+i5l7FXpD62Jcval1oXoN+NMI9P7deP1ntetAH//FzL0KvaF1Ma7e1LpQvQb8iQRa+5VIj/9i5l6F3tC6GFdval2oXgP+RAKt/Vr4x38xc69Cb2hdjKs3tS5UrwF/IoFuDkGrvhvT47+YuVehN7QuxtWbWheq14A/lUArvx/o47+YuVehN7QuxtWbWheq14A/mUAvZGHhx38xc69Cb2hdjKs3tS5UrwFHoCvgznP3tZBx9abWheo14Ah0Bdx57r4WMq7e1LpQvQYcga6AO8/d10LG1ZtaF6rXgCPQFXDnuftayLh6U+tC9RpwBLoC7jx3XwsZV29qXaheA45AV8Cd5+5rIePqTa0L1WvAEegKuPPcfS1kXL2pdaF6DTgCXQF3nruvhYyrN7UuVK8BR6Ar4M5z97WQcfWm1oXqNeAIdAXcee6+FjKu3tS6UL0GHIGugDvP3ddCxtWbWheq14Aj0BVw57n7Wsi4elPrQvUacAS6Au48d18LGVdval2oXgOOQFfAnefuayHj6k2tC9VrwBHoCrjz3H0tZFy9qXWheg04Al0Bd567r4WMqze1LlSvAUegK+DOc/e1kHH1ptaF6jXgCHQF3HnuvhYyrt7UulC9BhyBroA7z93XQsbVm1oXqteAI9AVcOe5+1rIuHpT60L1GnAEugLuPHdfCxlXb2pdqF4DjkBXwJ3n7msh4+pNrQvVa8AR6Aq489x9LWRcval1oXoNOAJdAXeeu6+FjKs3tS5UrwFHoCvgznP3tZBx9abWheo14Ah0Bdx57r4WMq7e1LpQvQb8uQWqzh/+YEun+nPQfeFUfw54Ngi0BTrVn4PuC6f6c8CzQaAt0Kn+HHRfONWfA54NAm2BTvXnoPvCqf4c8GwQaAt0qj8H3RdO9eeAZ4NAW6BT/TnovnCqPwc8GwTaAp3qz0H3hVP9OeDZINAW6FR/DrovnOrPAc+mI4ESQsjTBoESQsjCIFBCCFkYBEoIIQuDQAkhZGEQKCGELAwCJYSQhXEX6C8/fPOzAPvpzfUup/x31z+uhN9dX//xz9PHv729Xs3LZcP9vjr0KYpvIxpq4QfU+ImSJd/l/XBfVC34dgFy9/XxR3+3Cvv9/sPaQx07b7Oi4dog0GzUAt3frbY/SLEtNtxv/1Yb+hTFt/EUqGTJx+xVIVqX7b+GY85vwd0aPW2K7/7JVQpU+U/LA0Gg2Xx6cxFbR6C7O+V70fDfffMv6nOfovg2ngKVLPmQjd8GsW0ULTnW2ppo+IfxfcagawW6+3aFQCei8mzooSDQbMQC/cf/8370f/yfFLP/5Ydv/9/6m+0Jig+xFKhmyYfs742f3uwfQqmZd3ttboR3ehNWCnR/NxEKdGt+8T3mYnoR6HjOPfwzujHcXfZkJJBTgQ7nOOMfTfgVD3fdXX/7H6Z71ac3/+3b8cPZDbi7/v5u5fHdBrG/e20Kb+EV0A8Ufz9ttVVbbpux+rvdUdF3dWZa+gEVdvfxkh+qbz/b3HXer7jH7Bf0t2nNj++O++kuzPzOvlP0MNUfdyf3i+e5WZH/c6LvFmcgbge5uzGbn7VsrrOhZRbmcBuk6USg72aPJr+7/merHy86EejuIdEfB/y/WvnA9cZDf/9m/Pb31//L24l6uAF31//8zTpZbI4P/7zbxZv//+s3ddAPFN8t2upj9JxA18+09APWC/RkyQ/VRwX98V+ucNzpP+fHd8fDdBfmyO3vpn8Lr8d/FtcL9Ofpn5Fpie8OD1ru/sFd+m/LfGgja74wh9sgTR8CvRsfqh7/924Y+N2qf3yO77LTic14nvBuENAa/MZD/9/bgf/b22/+0+Choxtwt/pQa/g3/W6izAuvQz9QfHBIjXO1nEDXz7T0A9Z3PlnyQ/X326XZP8q4KFuLzRxW+e64PxIcMtyEjYi+33447q1Vp/Df/DzxxyWeHsZ9Ny7KdF9a+LjEfGjD8h8tzPw2CNOHQKc77Diq6RGdd2v+7Tk8Cz9OZPZP5YR/v9xE2/vo++FO9enNd7vOsxtwd732ka6h6C8/jJh3433o/bjR1qAfKj4eSqw+g88KdP1MSz9gvUBPlnxPnvQxbuflfecHUyd3x8N0l8Ln94nh0GH/2MOPFQQ6HY2MS7zr/m56YOZ++Rn8iUAPtceFmd8GYfoQ6Jh348H7u3Hl3q8Z/JFA9/9EDqOeNseKLbf10N1k5h/n//5PN+Bu7QHob2+nxzWmu9Ch8Dr0Q8XHrbD+LpsT6PqZln7AaoFml3xL3ulhpfunO+T2h9S+Ox5/69ZER8ek6wU6rsrw4Z58N/5zPt6XFq7MqUCPFub4uFqXTgS6vyTsx+ONtzRHp/CHq+S2d+B3u4erFx/Lbe88091pdoJzuAGrBTrd56fTl3nh9QItFR9+RJUntM8Fun6mpR+wuvTpku/Jd/OjonV5N94Ba98dz49Aj/6kgkAH3vDhnjx9Ntycpc3PBTpbmONbpUsfAh3/fT4+q6wn0NkFu9UEOmA2J8LTv8lHN2D1OfC7fd/xaYa5QNegHyo+WGL9GbyjQE+XXCHQ6dHP2nfH88dAj1ajgkAP0D15N4EfV/ybPq85/oQjgT7NhU1dCHRzFxiGLBPo/M5ZSaDb++X28cSh8/ENWKug2R1pdkpdS6CF4sO50/v1p05+Aj1b8plARz+sEOjs/jd6ou7d8fxZ+NpHoAM1cwQ6sJc/4nP6LPxRbY5AH8ikuOF/u8Xa3I1Fp/CzGU/4wqX2D2XYU5vp/6e3u0eFjm/AWoHuv3+8qG9euIJAC8W32/h/f7tCRfOhSgR66QesFWh+ySs9Bjq7/50/urf+7nh+HWjtx0AHnf3788dAt3/9H6s8eDvc/45q8xjoA5mu+J329LiN767H5yUrC3T/FOd0Cjs9C78YfzcdpfzrN9/dH3tovAErBXo4GBmPD+eFKwi0UHz7Q/75m1XLfhjqtMK721BLoPkfsFKgp0s+Ix8eKl5+Cn94nc10YVTVu+P+mfz72RVSh+fsqgh0Q/lHb86ehd/fl1bCd0tytDDz2yCMrUDH1weP98vpRPL9tUigm5+ynczd9BzV2ksS7ybaP5te6vHjyQ1YKdDZZSF346Nkh8I1BHq5+Oq3GJkPdWw8XQJZS6CXfsBKgZ4u+bx6hetAt989rOpw+WTtu+P4LOnutfDTEfr2881/1z6leVjXd9e7qzP314Hej5fVLy4+e0D1eroCebYw89sgjK1Ady9pmL+84dv/UGuznZwR7V4+Mc6+wiuRhtOX6aKU6QL3ww1YKdDZQ1rDmc2u8PprNB8qPvzhKhPNhzq9hOffVX0M9MIPWCnQ0yWfV6/wSqTZVXU/zm7E0d1x1VNUZ+/G9P7wAz6teVXcYV03mNNXIt3v70tL4fsHnvcPDBx6z2+DML4CHe9V380+/nF3UlNdoOM9bHeR9I8rX6l+t7sqfDrPmy603t+AdZY7csH2BG9euIZALxe/X6+4+VC3i/7Nz3d1n0TK/4B1Aj1b8nn16eBr5XWgd0cyqHp3HDLK6CDK2evIc2/R9Hjs7Cz7m+PXwg95t2KiB4Hul3a2MLwWntSJ+rUYR6nwHHyfUU3hSadLzoJAu89TbrHf1jwH32WmcxnZVTUI9HmDQLvPU26xO/Wb39hlel773ZqnYkpBoM8bBNp9nmyLjQ/8Pc3P8sn0XIbqsm4E+rxBoN3n6bbYO5kmnDM8l6H6bUkI9JmDQAkhZGEQKCGELAwCJYSQhUGghBCyMAiUEEIWBoESQsjCIFBCCFkYBEoIIQuDQIlBPr+6uvrqT/tPf/3p6ur3fw19+9eCVoQgUGKQrUBnDvz48rEC/TB8GQIloiBQYpBBoC/2n95ePVKgN1cIlCiDQIlBNgb8By9/95fps+0ZPAIlLQSBEoNsDPhfvLp6PX328eXv/gkCJS0EgRKDbAz44mZ/Dn+7/QSBkgaCQIlBtgL9cDWdw2/O4F/vBTqczu8+GUS5fYB09OXw0fbjkz8npFYQKDHIVqCfd+fwmzP4v+wEOjlyMuPmS/7hq/HzrWznAt39eeTqJ0IeCgIlBtkK9H53Dn87fDyY8HY05fZJ+tf305P1r8fD0sGoh1P44Q/2f05InSBQYpBBoLtz+JuNI0czbv54PKLcmHEu0u3nw1/MBHr054TUCQIlBhkE+vnV8GKkz682rhzNeLt/edLHl9tDy71QN38/yPYg0OM/J6ROECgxyCDQjf22598fxg+3RjzocPyC8b/b3J4K9PjPCakTBEoMMhrww2TN15MZZyfk44eHy5XOBHr854TUCQIlBtkdYG7O2Icz+L1A9y/vvEGg5BmCQIlBRoFuhPn1/jCUI1DSQBAoMcj0IObtxofjA6EXHwNFoOQpg0CJQSaBfnz51b8dn4rfPQu/e338h6vpWXgESp4yCJQYZBLo5kT97+YXeGauA0Wg5CmDQIlBdtch3V4dv8Ro9kqkr+8zopwuFEWgRBQESgyyE+jHl9Ol8xdfC38syg9XwxsxI1AiCgIlBtkJdP+8+8m7Mb3Yf9mJKD8M7x+CQIkoCJQQQhYGgRJCyMIgUEIIWRgESgghC4NACSFkYRAoIYQsDAIlhJCFQaCEELIwCJQQQhYGgRJCyMIgUEIIWRgESgghC4NACSFkYRAoIYQsDAIlhJCFQaCEELIwCJQQQhYGgRJCyMIgUEIIWRgESgghC/OfAeveET5akFSqAAAAAElFTkSuQmCC)