diff --git a/doc/notebooks-bio322.tex b/doc/notebooks-bio322.tex deleted file mode 100644 index 39a4cfe..0000000 --- a/doc/notebooks-bio322.tex +++ /dev/null @@ -1,17 +0,0 @@ -\documentclass[a4paper,10pt]{article} -\usepackage[utf8]{inputenc} -\usepackage{amsmath,geometry,amssymb} -\geometry{a4paper,left=30mm,right=30mm, top=38mm, bottom=30mm} -\setlength{\parindent}{0mm} -\setlength{\parskip}{3mm} -\usepackage[breaklinks=true,colorlinks,citecolor=blue]{hyperref} - -%opening -\title{} -\author{Johanni} - -\begin{document} - -\maketitle - -\end{document} diff --git a/src/Intro to R.ipynb b/src/Intro to R.ipynb deleted file mode 100644 index 65450af..0000000 --- a/src/Intro to R.ipynb +++ /dev/null @@ -1,1069 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# Basic Commands" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "R uses functions to perform operations. To run a function called funcname,\n", - "we type funcname(input1, input2) , where the inputs (or arguments) input1\n", - "and input2 tell R how to run the function. A function can have any number\n", - "of inputs. For example, to create a vector of numbers, we use the function\n", - "c() (for concatenate). Any numbers inside the parentheses are joined together. \n", - "The following command instructs R to join together the numbers\n", - "1, 3, 2, and 5, and to save them as a vector named x . When we type x , it\n", - "gives us back the vector." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "x <- c(1,3,2,5)\n", - "x" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Note that the > is not part of the command; rather, it is printed by R to\n", - "indicate that it is ready for another command to be entered. We can also\n", - "save things using = rather than <- :" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "x = c(1,6,2)\n", - "x" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "y = c(1,4,3)\n", - "length(y)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "We can tell R to add two sets of numbers together. It will then add the\n", - "first number from x to the first number from y , and so on. However, x and\n", - "y should be the same length. We can check their length using the length()\n", - "function." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "x + y" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "The ls() function allows us to look at a list of all of the objects, such\n", - "as data and functions, that we have saved so far. The rm() function can be\n", - "used to delete any that we don’t want." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "ls()" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "rm(x, y)\n", - "ls()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "It’s also possible to remove all objects at once" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "rm(list=ls())" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "The matrix() function can be used to create a matrix of numbers. Before\n", - "we use the matrix() function, we can learn more about it:" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "?matrix" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "The help file reveals that the matrix() function takes a number of inputs,\n", - "but for now we focus on the first three: the data (the entries in the matrix),\n", - "the number of rows, and the number of columns. First, we create a simple\n", - "matrix." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "x=matrix(data=c(1,2,3,4), nrow=2, ncol=2)\n", - "x" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Note that we could just as well omit typing data= , nrow= , and ncol= in the\n", - "matrix() command above: that is, we could just type" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "x=matrix(c(1,2,3,4),2,2)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "and this would have the same effect. However, it can sometimes be useful to\n", - "specify the names of the arguments passed in, since otherwise R will assume\n", - "that the function arguments are passed into the function in the same order\n", - "that is given in the function’s help file. As this example illustrates, by\n", - "default R creates matrices by successively filling in columns. Alternatively,\n", - "the byrow=TRUE option can be used to populate the matrix in order of the\n", - "rows." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "matrix(c(1,2,3,4),2,2,byrow=TRUE)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Notice that in the above command we did not assign the matrix to a value\n", - "such as x . In this case the matrix is printed to the screen but is not saved\n", - "for future calculations. The sqrt() function returns the square root of each\n", - "element of a vector or matrix. The command x^2 raises each element of x\n", - "to the power 2; any powers are possible, including fractional or negative\n", - "powers." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "sqrt(x)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "x^2" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "The rnorm() function generates a vector of random normal variables,\n", - "with first argument n the sample size. Each time we call this function, we\n", - "will get a different answer. Here we create two correlated sets of numbers,\n", - "x and y , and use the cor() function to compute the correlation between\n", - "them." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "x=rnorm(50)\n", - "y=x+rnorm(50,mean=50,sd=.1)\n", - "cor(x,y)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "By default, rnorm() creates standard normal random variables with a mean\n", - "of 0 and a standard deviation of 1. However, the mean and standard devi-\n", - "ation can be altered using the mean and sd arguments, as illustrated above.\n", - "Sometimes we want our code to reproduce the exact same set of random\n", - "numbers; we can use the set.seed() function to do this. The set.seed()\n", - "function takes an (arbitrary) integer argument. Evaluate the following cell\n", - "multiple times to see the reproducability." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "set.seed(1303)\n", - "rnorm(50)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "The mean() and var() functions can be used to compute the mean and\n", - "variance of a vector of numbers. Applying sqrt() to the output of var()\n", - "will give the standard deviation. Or we can simply use the sd() function." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "set.seed(3)\n", - "y=rnorm(100)\n", - "mean(y)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "var(y)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "sqrt(var(y))" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "sd(y)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# Graphics" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "The plot() function is the primary way to plot data in R . For instance,\n", - "plot(x,y) produces a scatterplot of the numbers in x versus the numbers\n", - "in y . There are many additional options that can be passed in to the plot()\n", - "function. For example, passing in the argument xlab will result in a label\n", - "on the x-axis. To find out more information about the plot() function,\n", - "type ?plot ." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "x=rnorm(100)\n", - "y=rnorm(100)\n", - "plot(x,y)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "plot(x,y,xlab=\"this is the x-axis\",ylab=\"this is the y-axis\",main=\"Plot of X vs Y\")" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "We will often want to save the output of an R plot. The command that we\n", - "use to do this will depend on the file type that we would like to create. For\n", - "instance, to create a pdf, we use the pdf() function, and to create a jpeg,\n", - "we use the jpeg() function." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "pdf(\"Figure.pdf\")\n", - "plot(x,y,col=\"green\")\n", - "dev.off()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "The function dev.off() indicates to R that we are done creating the plot.\n", - "Alternatively, we can simply copy the plot window and paste it into an\n", - "appropriate file type, such as a Word document." - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "The function seq() can be used to create a sequence of numbers. For\n", - "instance, seq(a,b) makes a vector of integers between a and b . There are\n", - "many other options: for instance, seq(0,1,length=10) makes a sequence of\n", - "10 numbers that are equally spaced between 0 and 1 . Typing 3:11 is a\n", - "shorthand for seq(3,11) for integer arguments." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "x=seq(1,10)\n", - "x" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "x=1:10\n", - "x" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "x=seq(-pi,pi,length=50)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "We will now create some more sophisticated plots. The contour() function \n", - "produces a contour plot in order to represent three-dimensional data; contour plot\n", - "it is like a topographical map. It takes three arguments:\n", - "1. A vector of the x values (the first dimension),\n", - "2. A vector of the y values (the second dimension), and\n", - "3. A matrix whose elements correspond to the z value (the third dimension) for each pair of ( x , y ) coordinates.\n", - "\n", - "As with the plot() function, there are many other inputs that can be used\n", - "to fine-tune the output of the contour() function. To learn more about\n", - "these, take a look at the help file by typing ?contour ." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "y=x\n", - "f=outer(x,y,function(x,y)cos(y)/(1+x^2))\n", - "contour(x,y,f)\n", - "contour(x,y,f,nlevels=45,add=T)\n", - "fa=(f-t(f))/2\n", - "contour(x,y,fa,nlevels=15)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "The image() function works the same way as contour() , except that it\n", - "produces a color-coded plot whose colors depend on the z value. This is\n", - "known as a heatmap, and is sometimes used to plot temperature in weather heatmap\n", - "forecasts. Alternatively, persp() can be used to produce a three-dimensional\n", - "plot. The arguments theta and phi control the angles at which the plot is\n", - "viewed." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "image(x,y,fa)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "persp(x,y,fa)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "persp(x,y,fa,theta=30)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "persp(x,y,fa,theta=30,phi=20)\n", - "persp(x,y,fa,theta=30,phi=70)\n", - "persp(x,y,fa,theta=30,phi=40)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "For details on plotting it is useful to study the help pages." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "?plot" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "?par" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# Indexing Data" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "We often wish to examine part of a set of data. Suppose that our data is\n", - "stored in the matrix A." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "A=matrix(1:16,4,4)\n", - "A" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Then, typing" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "A[2,3]" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "will select the element corresponding to the second row and the third col-\n", - "umn. The first number after the open-bracket symbol [ always refers to\n", - "the row, and the second number always refers to the column. We can also\n", - "select multiple rows and columns at a time, by providing vectors as the\n", - "indices." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "A[c(1,3),c(2,4)]" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "A[1:3,2:4]" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "A[1:2,]" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "A[,1:2]" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "The last two examples include either no index for the columns or no index\n", - "for the rows. These indicate that R should include all columns or all rows,\n", - "respectively. R treats a single row or column of a matrix as a vector." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "A[1,]" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "The use of a negative sign - in the index tells R to keep all rows or columns\n", - "except those indicated in the index." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "A[-c(1,3),]" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "A[-c(1,3),-c(1,3,4)]" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "The dim() function outputs the number of rows followed by the number of\n", - "columns of a given matrix." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "dim(A)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# Data Frames" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Oftentimes it is useful to store data in data frames.\n", - "Imagine a data frame as an excel sheet with named columns." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "df = data.frame(x = rnorm(3), y = c(\"a\", \"b\", \"c\"), z = 1:3)\n", - "df" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "To find the columns of a data frame we can use the names() function." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "names(df)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "To access a single column, say column 'x', we use the $ sign." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "df$x" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "If we want to make all columns available to the workspace, we can attach the data frame.\n", - "Before we do that we cannot access, say column 'z', directly:" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "z" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "attach(df)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "But after attaching, we can access 'z' directly. If you see an error message saying that objects x and y are masked, this means that we previously had already some values assigned to x and y and by attaching the data frame these values are overwritten." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "z" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Sometimes you may not know the value of one measurement. Say you measured the height and the weight of different individuals, but you forgot to measure the weight of the third one. Then you can use the special value `NA` (not available) to indicate the missing value and your data frame could look like this:" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "data = data.frame(name = c(\"John\", \"Mary\", \"Vincent\"), heigth = c(1.75, 1.73, 1.83), weight = c(84, 65, NA))\n", - "data" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "If you now want to do some analysis with this data, but without the rows that contain missing values, you can use the function na.omit() to remove all rows that contain 'NA' entries." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "data = na.omit(data)\n", - "data" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Data that is loaded from libraries often has some missing data. For example by loading the ISLR library we load also the Hitters data frame." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "library(ISLR)\n", - "names(Hitters)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "dim(Hitters)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "We see that this data frame contains 322 rows and 20 columns, i.e. information about 322 baseball hitters.\n", - "If we now remove all the rows that contain missing values we are left with 263 rows." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "dim(na.omit(Hitters))" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# Writing Functions" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "As we have seen, R comes with many useful functions, and still more \n", - "functions are available by way of R libraries. However, we will often be \n", - "interested in performing an operation for which no function is available. In this\n", - "setting, we may want to write our own function. For instance, below we\n", - "provide a simple function that reads in the ISLR and MASS libraries, called\n", - "LoadLibraries() . Before we have created the function, R returns an error if\n", - "we try to call it." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "LoadLibraries" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "LoadLibraries()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "We now create the function." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "LoadLibraries=function(){\n", - " library(ISLR)\n", - " library(MASS)\n", - " print(\"The libraries have been loaded.\")\n", - " }" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "LoadLibraries" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "LoadLibraries()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "The above function does not have any arguments.\n", - "To write a function that accepts arguments we can do the following:" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "f = function(x) {\n", - " x^2 + 3\n", - " }" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "We can call this function in two ways:" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "f(4)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "f(x = 4)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "We can also provide default values to some of the function arguments." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "func = function(x = 7, y = 3, z = 1) {\n", - " x + y + z\n", - "}" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Now we have multiple possibilities to call the function." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "func()" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "func(y = -8)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "func(1, 2, 3)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "func(z = 0, x = 2, y = 1)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [] - } - ], - "metadata": { - "kernelspec": { - "display_name": "R", - "language": "R", - "name": "ir" - }, - "language_info": { - "codemirror_mode": "r", - "file_extension": ".r", - "mimetype": "text/x-r-source", - "name": "R", - "pygments_lexer": "r", - "version": "3.6.1" - } - }, - "nbformat": 4, - "nbformat_minor": 2 -} diff --git a/src/SVM.ipynb b/src/SVM.ipynb deleted file mode 100644 index 293b8a6..0000000 --- a/src/SVM.ipynb +++ /dev/null @@ -1,1482 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# Support Vector Machines" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "New R commands:\n", - "- `svm(formula, data = , kernel = , cost = , scale = )` fit an SVM\n", - "- `tune(svm, formula, data = ,kernel = , ranges = list(param = )` tune an SVM with cross-validation" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "We use the `e1071` library in R to demonstrate the support vector classifier\n", - "and the SVM.\n", - "\n", - "The `e1071` library contains implementations for a number of statistical\n", - "learning methods. In particular, the svm() function can be used to fit a\n", - "support vector classifier when the argument kernel=\"linear\" is used. This\n", - "function uses a slightly different formulation from the slides (or equations (9.14) and (9.25) in the book) for the\n", - "support vector classifier. A cost argument allows us to specify the cost of\n", - "a violation to the margin. When the cost argument is small, then the margins will be wide and many support vectors will be on the margin or will\n", - "violate the margin. When the cost argument is large, then the margins will\n", - "be narrow and there will be few support vectors on the margin or violating\n", - "the margin.\n", - "We now use the svm() function to fit the support vector classifier for a\n", - "given value of the cost parameter. Here we demonstrate the use of this\n", - "function on a two-dimensional example so that we can plot the resulting\n", - "decision boundary. We begin by generating the observations, which belong\n", - "to two classes, and checking whether the classes are linearly separable." - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Support Vector Classifiers" - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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WrP3z/y7ofv9an3wE2DZq3FWQAArK41v2K3//UT9v/xrw+8YdiBa2UOAABrypsn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\nAImolPUAgLLnuw9eHfX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- "text/plain": [ - "plot without title" - ] - }, - "metadata": { - "image/png": { - "height": 420, - "width": 420 - }, - "text/plain": { - "height": 420, - "width": 420 - } - }, - "output_type": "display_data" - } - ], - "source": [ - "set.seed(1)\n", - "x=matrix(rnorm(20*2), ncol=2)\n", - "y=c(rep(-1,10), rep(1,10))\n", - "x[y==1,]=x[y==1,] + 1\n", - "plot(x, col=(3-y))" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "They are not. Next, we fit the support vector classifier. Note that in order\n", - "for the svm() function to perform classification (as opposed to SVM-based\n", - "regression), we must encode the response as a factor variable. We now\n", - "create a data frame with the response coded as a factor." - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "metadata": {}, - "outputs": [], - "source": [ - "dat=data.frame(x=x, y=as.factor(y))\n", - "library(e1071)\n", - "svmfit=svm(y~., data=dat, kernel=\"linear\", cost=10, scale=FALSE)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "The argument scale=FALSE tells the svm() function not to scale each feature\n", - "to have mean zero or standard deviation one; depending on the application,\n", - "one might prefer to use scale=TRUE.\n", - "\n", - "We can now plot the support vector classifier obtained:" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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0WBtwQmfT/rx7xP79a2bctin2bcwAAc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\ndLQXibt+/bHla1HRIvbO7vlzY2gAQ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- "text/plain": [ - "Plot with title “SVM classification plot”" - ] - }, - "metadata": { - "image/png": { - "height": 420, - "width": 420 - }, - "text/plain": { - "height": 420, - "width": 420 - } - }, - "output_type": "display_data" - } - ], - "source": [ - "plot(svmfit, dat)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Note that the two arguments to the plot.svm() function are the output\n", - "of the call to svm() , as well as the data used in the call to svm() . The\n", - "region of feature space that will be assigned to the −1 class is shown in\n", - "light yellow, and the region that will be assigned to the +1 class is shown in\n", - "purple. The decision boundary between the two classes is linear (because we\n", - "used the argument kernel=\"linear\" ), though due to the way in which the\n", - "plotting function is implemented in this library the decision boundary looks\n", - "somewhat jagged in the plot. (Note that here the second feature is plotted on the\n", - "x-axis and the first feature is plotted on the y-axis, in contrast to the behavior of\n", - "the usual plot() function in R.) The support vectors are plotted as crosses\n", - "and the remaining observations are plotted as circles; we see here that there\n", - "are seven support vectors. We can determine their identities as follows:" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": {}, - "outputs": [ - { - "data": { - "text/html": [ - "
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v/v33+/OuTUvlnt5NzC0e/+k121w8OM0XYAADVQV9hlb/319wTxffaDN1o75q5Y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- "text/plain": [ - "Plot with title “SVM classification plot”" - ] - }, - "metadata": { - "image/png": { - "height": 420, - "width": 420 - }, - "text/plain": { - "height": 420, - "width": 420 - } - }, - "output_type": "display_data" - } - ], - "source": [ - "svmfit=svm(y~., data=dat, kernel=\"linear\", cost=0.1,scale=FALSE)\n", - "plot(svmfit, dat)\n", - "svmfit$index" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Now that a smaller value of the cost parameter is being used, we obtain a\n", - "larger number of support vectors, because the margin is now wider. Unfortunately, the svm() function does not explicitly output the coefficients of\n", - "the linear decision boundary obtained when the support vector classifier is\n", - "fit, nor does it output the width of the margin.\n", - "The e1071 library includes a built-in function, tune() , to perform cross-validation. By default, tune() performs ten-fold cross-validation on a set\n", - "of models of interest. In order to use this function, we pass in relevant\n", - "information about the set of models that are under consideration. The\n", - "following command indicates that we want to compare SVMs with a linear\n", - "kernel, using a range of values of the cost parameter." - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "\n", - "Parameter tuning of ‘svm’:\n", - "\n", - "- sampling method: 10-fold cross validation \n", - "\n", - "- best parameters:\n", - " cost\n", - " 0.1\n", - "\n", - "- best performance: 0.05 \n", - "\n", - "- Detailed performance results:\n", - " cost error dispersion\n", - "1 1e-03 0.55 0.4377975\n", - "2 1e-02 0.55 0.4377975\n", - "3 1e-01 0.05 0.1581139\n", - "4 1e+00 0.15 0.2415229\n", - "5 5e+00 0.15 0.2415229\n", - "6 1e+01 0.15 0.2415229\n", - "7 1e+02 0.15 0.2415229\n" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "set.seed(1)\n", - "tune.out=tune(svm,y~.,data=dat,kernel=\"linear\",ranges=list(cost=c(0.001, 0.01, 0.1, 1,5,10,100)))\n", - "summary(tune.out)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "We see that cost=0.1 results in the lowest cross-validation error rate. The\n", - "tune() function stores the best model obtained, which can be accessed as\n", - "follows:" - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "\n", - "Call:\n", - "best.tune(method = svm, train.x = y ~ ., data = dat, ranges = list(cost = c(0.001, \n", - " 0.01, 0.1, 1, 5, 10, 100)), kernel = \"linear\")\n", - "\n", - "\n", - "Parameters:\n", - " SVM-Type: C-classification \n", - " SVM-Kernel: linear \n", - " cost: 0.1 \n", - "\n", - "Number of Support Vectors: 16\n", - "\n", - " ( 8 8 )\n", - "\n", - "\n", - "Number of Classes: 2 \n", - "\n", - "Levels: \n", - " -1 1\n", - "\n", - "\n" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "bestmod=tune.out$best.model\n", - "summary(bestmod)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "The predict() function can be used to predict the class label on a set of\n", - "test observations, at any given value of the cost parameter. We begin by\n", - "generating a test data set." - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "metadata": {}, - "outputs": [], - "source": [ - "xtest=matrix(rnorm(20*2), ncol=2)\n", - "ytest=sample(c(-1,1), 20, rep=TRUE)\n", - "xtest[ytest==1,]=xtest[ytest==1,] + 1\n", - "testdat=data.frame(x=xtest, y=as.factor(ytest))" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Now we predict the class labels of these test observations. Here we use the\n", - "best model obtained through cross-validation in order to make predictions." - ] - }, - { - "cell_type": "code", - "execution_count": 10, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - " truth\n", - "predict -1 1\n", - " -1 9 1\n", - " 1 2 8" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "ypred=predict(bestmod,testdat)\n", - "table(predict=ypred, truth=testdat$y)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Thus, with this value of cost, 17 of the test observations are correctly\n", - "classified. What if we had instead used cost=0.01?" - ] - }, - { - "cell_type": "code", - "execution_count": 11, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - " truth\n", - "predict -1 1\n", - " -1 11 6\n", - " 1 0 3" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "svmfit=svm(y~., data=dat, kernel=\"linear\", cost=.01,scale=FALSE)\n", - "ypred=predict(svmfit,testdat)\n", - "table(predict=ypred, truth=testdat$y)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "In this case 3 additional observation is misclassified.\n", - "\n", - "Now consider a situation in which the two classes are linearly separable.\n", - "Then we can find a separating hyperplane using the svm() function. We\n", - "first further separate the two classes in our simulated data so that they are\n", - "linearly separable:" - ] - }, - { - "cell_type": "code", - "execution_count": 12, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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Y1HnnjPuEUVni3//LE/7Tjw2tX8lAUAADVjFWGXWvDhsON6dd3tkv/MWPGLy2Wz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\nsw5AJhN2wDqq7Ul3XdW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- "text/plain": [ - "plot without title" - ] - }, - "metadata": { - "image/png": { - "height": 420, - "width": 420 - }, - "text/plain": { - "height": 420, - "width": 420 - } - }, - "output_type": "display_data" - } - ], - "source": [ - "x[y==1,]=x[y==1,]+0.5\n", - "plot(x, col=(y+5)/2, pch=19)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Now the observations are just barely linearly separable. We fit the support\n", - "vector classifier and plot the resulting hyperplane, using a very large value\n", - "of cost so that no observations are misclassified." - ] - }, - { - "cell_type": "code", - "execution_count": 13, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "\n", - "Call:\n", - "svm(formula = y ~ ., data = dat, kernel = \"linear\", cost = 1e+05)\n", - "\n", - "\n", - "Parameters:\n", - " SVM-Type: C-classification \n", - " SVM-Kernel: linear \n", - " cost: 1e+05 \n", - "\n", - "Number of Support Vectors: 3\n", - "\n", - " ( 1 2 )\n", - "\n", - "\n", - "Number of Classes: 2 \n", - "\n", - "Levels: \n", - " -1 1\n", - "\n", - "\n" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "dat=data.frame(x=x,y=as.factor(y))\n", - "svmfit=svm(y~., data=dat, kernel=\"linear\", cost=1e5)\n", - "summary(svmfit)" - ] - }, - { - "cell_type": "code", - "execution_count": 14, - "metadata": { - "scrolled": false - }, - "outputs": [ - { - 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AAciWNdPHFm585IqVvfPvmPutbs3LmmFLd/fyF3yT8SHp6lBg3ql0pCAAAAh+VY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- "text/plain": [ - "Plot with title “SVM classification plot”" - ] - }, - "metadata": { - "image/png": { - "height": 420, - "width": 420 - }, - "text/plain": { - "height": 420, - "width": 420 - } - }, - "output_type": "display_data" - } - ], - "source": [ - "plot(svmfit, dat)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "No training errors were made and only three support vectors were used.\n", - "However, we can see from the figure that the margin is very narrow (because\n", - "the observations that are not support vectors, indicated as circles, are very\n", - "close to the decision boundary). It seems likely that this model will perform\n", - "poorly on test data. We now try a smaller value of cost:" - ] - }, - { - "cell_type": "code", - "execution_count": 15, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "\n", - "Call:\n", - "svm(formula = y ~ ., data = dat, kernel = \"linear\", cost = 1)\n", - "\n", - "\n", - "Parameters:\n", - " SVM-Type: C-classification \n", - " SVM-Kernel: linear \n", - " cost: 1 \n", - "\n", - "Number of Support Vectors: 7\n", - "\n", - " ( 4 3 )\n", - "\n", - "\n", - "Number of Classes: 2 \n", - "\n", - "Levels: \n", - " -1 1\n", - "\n", - "\n" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "image/png": 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SHO6QdXPHfz2Gd/nTXuqWv3vXSF7Wmjo6Pl0v8/Kx/vWXTVEtK+WkbGBaDtAACo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\n7XPnop8hvzIpVKiQiBiNbLIBgFa4l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- "text/plain": [ - "Plot with title “SVM classification plot”" - ] - }, - "metadata": { - "image/png": { - "height": 420, - "width": 420 - }, - "text/plain": { - "height": 420, - "width": 420 - } - }, - "output_type": "display_data" - } - ], - "source": [ - "svmfit=svm(y~., data=dat, kernel=\"linear\", cost=1)\n", - "summary(svmfit)\n", - "plot(svmfit,dat)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Support Vector Machine" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "In order to fit an SVM using a non-linear kernel, we once again use the svm()\n", - "function. However, now we use a different value of the parameter kernel .\n", - "To fit an SVM with a polynomial kernel we use kernel=\"polynomial\" , and\n", - "to fit an SVM with a radial kernel we use kernel=\"radial\" . In the former\n", - "case we also use the degree argument to specify a degree for the polynomial\n", - "kernel, and in the latter case we use gamma to specify a\n", - "value of γ for the radial basis kernel.\n", - "We first generate some data with a non-linear class boundary, as follows:" - ] - }, - { - "cell_type": "code", - "execution_count": 16, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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KPR2twkJCTU3NzcxXl4moaGBnfvh+4G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\nrkJggg==", - "text/plain": [ - "plot without title" - ] - }, - "metadata": { - "image/png": { - "height": 420, - "width": 420 - }, - "text/plain": { - "height": 420, - "width": 420 - } - }, - "output_type": "display_data" - } - ], - "source": [ - "set.seed(1)\n", - "x=matrix(rnorm(200*2), ncol=2)\n", - "x[1:100,]=x[1:100,]+2\n", - "x[101:150,]=x[101:150,]-2\n", - "y=c(rep(1,150),rep(2,50))\n", - "dat=data.frame(x=x,y=as.factor(y))\n", - "plot(x, col=y)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "The data is randomly split into training and testing groups. We then fit\n", - "the training data using the svm() function with a radial kernel and γ = 1:" - ] - }, - { - "cell_type": "code", - "execution_count": 17, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "\n", - "Call:\n", - "svm(formula = y ~ ., data = dat[train, ], kernel = \"radial\", gamma = 1, \n", - " cost = 1)\n", - "\n", - "\n", - "Parameters:\n", - " SVM-Type: C-classification \n", - " SVM-Kernel: radial \n", - " cost: 1 \n", - "\n", - "Number of Support Vectors: 31\n", - "\n", - " ( 16 15 )\n", - "\n", - "\n", - "Number of Classes: 2 \n", - "\n", - "Levels: \n", - " 1 2\n", - "\n", - "\n" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "image/png": 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rIdH5NoN2frJ6sPN28GfIzPFpVvbNDTqHcbOfwa/V3m1y8fw1PYUkqtWqvICPO6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\nHBhn7Og2ftY7jDsWNNzp5oIGpXUWNAh5cDsBnz3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gvuvjTwmjEijgpyIR2TN+hJH9ktV5d/J7dRVZmyevNfIAACAASURBVOaM/XHf+yPW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\nIPBGFDuDkxi45wv3j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29UwbA2/DyRNq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\nTiDaIQAAAABJRU5ErkJggg==", - "text/plain": [ - "Plot with title “SVM classification plot”" - ] - }, - "metadata": { - "image/png": { - "height": 420, - "width": 420 - }, - "text/plain": { - "height": 420, - "width": 420 - } - }, - "output_type": "display_data" - } - ], - "source": [ - "train=sample(200,100)\n", - "svmfit=svm(y~., data=dat[train,], kernel=\"radial\", gamma=1, cost=1)\n", - "plot(svmfit, dat[train,])\n", - "summary(svmfit)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "The plot shows that the resulting SVM has a decidedly non-linear\n", - "boundary.\n", - "\n", - "We can see from the figure that there are a fair number of training errors\n", - "in this SVM fit. If we increase the value of cost, we can reduce the number\n", - "of training errors. However, this comes at the price of a more irregular\n", - "decision boundary that seems to be at risk of overfitting the data." - ] - }, - { - "cell_type": "code", - "execution_count": 18, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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ygpzvsL03cEZfO7NgCAQgh2AACVyEt1lB20bfqFj9myUw7NNRaXsTq80FQy++3W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SsiGJ2+d0/O6avnafoxEHIu9uefB4/+WV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\n3hqWrHQswBCYsVO1lItTWreYeFTr3eTjXs1K5Xx8bsuipXvmfFD/idPFJe/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- "text/plain": [ - "Plot with title “SVM classification plot”" - ] - }, - "metadata": { - "image/png": { - "height": 420, - "width": 420 - }, - "text/plain": { - "height": 420, - "width": 420 - } - }, - "output_type": "display_data" - } - ], - "source": [ - "svmfit=svm(y~., data=dat[train,], kernel=\"radial\",gamma=1,cost=1e5)\n", - "plot(svmfit,dat[train,])" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "We can perform cross-validation using tune() to select the best choice of\n", - "γ and cost for an SVM with a radial kernel" - ] - }, - { - "cell_type": "code", - "execution_count": 19, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "\n", - "Parameter tuning of ‘svm’:\n", - "\n", - "- sampling method: 10-fold cross validation \n", - "\n", - "- best parameters:\n", - " cost gamma\n", - " 1 0.5\n", - "\n", - "- best performance: 0.07 \n", - "\n", - "- Detailed performance results:\n", - " cost gamma error dispersion\n", - "1 1e-01 0.5 0.26 0.15776213\n", - "2 1e+00 0.5 0.07 0.08232726\n", - "3 1e+01 0.5 0.07 0.08232726\n", - "4 1e+02 0.5 0.14 0.15055453\n", - "5 1e+03 0.5 0.11 0.07378648\n", - "6 1e-01 1.0 0.22 0.16193277\n", - "7 1e+00 1.0 0.07 0.08232726\n", - "8 1e+01 1.0 0.09 0.07378648\n", - "9 1e+02 1.0 0.12 0.12292726\n", - "10 1e+03 1.0 0.11 0.11005049\n", - "11 1e-01 2.0 0.27 0.15670212\n", - "12 1e+00 2.0 0.07 0.08232726\n", - "13 1e+01 2.0 0.11 0.07378648\n", - "14 1e+02 2.0 0.12 0.13165612\n", - "15 1e+03 2.0 0.16 0.13498971\n", - "16 1e-01 3.0 0.27 0.15670212\n", - "17 1e+00 3.0 0.07 0.08232726\n", - "18 1e+01 3.0 0.08 0.07888106\n", - "19 1e+02 3.0 0.13 0.14181365\n", - "20 1e+03 3.0 0.15 0.13540064\n", - "21 1e-01 4.0 0.27 0.15670212\n", - "22 1e+00 4.0 0.07 0.08232726\n", - "23 1e+01 4.0 0.09 0.07378648\n", - "24 1e+02 4.0 0.13 0.14181365\n", - "25 1e+03 4.0 0.15 0.13540064\n" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "set.seed(1)\n", - "tune.out=tune(svm, y~., data=dat[train,], kernel=\"radial\", ranges=list(cost=c(0.1,1,10,100,1000),gamma=c(0.5,1,2,3,4)))\n", - "summary(tune.out)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Therefore, the best choice of parameters involves cost=1 and gamma=0.5. We\n", - "can view the test set predictions for this model by applying the predict()\n", - "function to the data. Notice that to do this we subset the dataframe dat\n", - "using -train as an index set." - ] - }, - { - "cell_type": "code", - "execution_count": 20, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - " pred\n", - "true 1 2\n", - " 1 54 23\n", - " 2 17 6" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "table(true=dat[-train,\"y\"], pred=predict(tune.out$best.model,newx=dat[-train,]))" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## SVM with Multiple Classes" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "If the response is a factor containing more than two levels, then the svm()\n", - "function will perform multi-class classification using the one-versus-one ap-\n", - "proach. We explore that setting here by generating a third class of observations." - ] - }, - { - "cell_type": "code", - "execution_count": 21, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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LEiVq/G+vV48kS6ZKQAix0REf1fZiZW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\n3O35zPszuZFc3kuejpaOvb29tbV1jZOpYuvWrdO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GZ/n6+pbOyRCLP3v2jMPh3Lp1q7r5VLBlyxZFRdrznPoAACAASURBVEUjIyN3d/e2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\nSIKCglq1aiV0lpI4Y0dExaRL0y+lXxplPOrNo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bM/+GXPfy1disRE3LwJY+PCSseOcHFBx46YMgX79r31RA8PjBqFuXNRp06x+qZNkErl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\nX0zZAAAAAElFTkSuQmCC", - "text/plain": [ - "plot without title" - ] - }, - "metadata": { - "image/png": { - "height": 420, - "width": 420 - }, - "text/plain": { - "height": 420, - "width": 420 - } - }, - "output_type": "display_data" - } - ], - "source": [ - "set.seed(1)\n", - "x=rbind(x, matrix(rnorm(50*2), ncol=2))\n", - "y=c(y, rep(0,50))\n", - "x[y==0,2]=x[y==0,2]+2\n", - "dat=data.frame(x=x, y=as.factor(y))\n", - "par(mfrow=c(1,1))\n", - "plot(x,col=(y+1))" - ] - }, - { - "cell_type": "code", - "execution_count": 22, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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MBcrefAGsg+Qi9gGMQm4xkA7jnEF2B/TGg4ES0TLflIwU5EmqwYoQexd+BMJDYM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z7Md9Z6xJU+98rvPTxmkmrAwPbjS1a5h+6Lver28HRtUAACAASURBVO92RVSsHgZg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\nIfttRW9RxVVKNpO2yn5J9iKZJfKayj1I8RFydtel10YV4xX5t6xXdvy/b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717//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", - "text/plain": [ - "Plot with title “SVM classification plot”" - ] - }, - "metadata": { - "image/png": { - "height": 420, - "width": 420 - }, - "text/plain": { - "height": 420, - "width": 420 - } - }, - "output_type": "display_data" - } - ], - "source": [ - "svmfit=svm(y~., data=dat, kernel=\"radial\", cost=10, gamma=1)\n", - "plot(svmfit, dat)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Application to Gene Expression Data (optional)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "We now examine the Khan data set, which consists of a number of tissue\n", - "samples corresponding to four distinct types of small round blue cell tumors. For each tissue sample, gene expression measurements are available.\n", - "The data set consists of training data, xtrain and ytrain , and testing data,\n", - "xtest and ytest .\n", - "We examine the dimension of the data:" - ] - }, - { - "cell_type": "code", - "execution_count": 23, - "metadata": {}, - "outputs": [ - { - "data": { - "text/html": [ - "
    \n", - "\t
  1. 'xtrain'
  2. \n", - "\t
  3. 'xtest'
  4. \n", - "\t
  5. 'ytrain'
  6. \n", - "\t
  7. 'ytest'
  8. \n", - "
\n" - ], - "text/latex": [ - "\\begin{enumerate*}\n", - "\\item 'xtrain'\n", - "\\item 'xtest'\n", - "\\item 'ytrain'\n", - "\\item 'ytest'\n", - "\\end{enumerate*}\n" - ], - "text/markdown": [ - "1. 'xtrain'\n", - "2. 'xtest'\n", - "3. 'ytrain'\n", - "4. 'ytest'\n", - "\n", - "\n" - ], - "text/plain": [ - "[1] \"xtrain\" \"xtest\" \"ytrain\" \"ytest\" " - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "library(ISLR)\n", - "names(Khan)" - ] - }, - { - "cell_type": "code", - "execution_count": 24, - "metadata": {}, - "outputs": [ - { - "data": { - "text/html": [ - "
    \n", - "\t
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In this data set, there are a very large number\n", - "of features relative to the number of observations. This suggests that we\n", - "should use a linear kernel, because the additional flexibility that will result\n", - "from using a polynomial or radial kernel is unnecessary." - ] - }, - { - "cell_type": "code", - "execution_count": 30, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "\n", - "Call:\n", - "svm(formula = y ~ ., data = dat, kernel = \"linear\", cost = 10)\n", - "\n", - "\n", - "Parameters:\n", - " SVM-Type: C-classification \n", - " SVM-Kernel: linear \n", - " cost: 10 \n", - "\n", - "Number of Support Vectors: 58\n", - "\n", - " ( 20 20 11 7 )\n", - "\n", - "\n", - "Number of Classes: 4 \n", - "\n", - "Levels: \n", - " 1 2 3 4\n", - "\n", - "\n" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "dat=data.frame(x=Khan$xtrain, y=as.factor(Khan$ytrain))\n", - "out=svm(y~., data=dat, kernel=\"linear\",cost=10)\n", - "summary(out)" - ] - }, - { - "cell_type": "code", - "execution_count": 31, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - " \n", - " 1 2 3 4\n", - " 1 8 0 0 0\n", - " 2 0 23 0 0\n", - " 3 0 0 12 0\n", - " 4 0 0 0 20" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "table(out$fitted, dat$y)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "We see that there are no training errors. In fact, this is not surprising,\n", - "because the large number of variables relative to the number of observations\n", - "implies that it is easy to find hyperplanes that fully separate the classes. We\n", - "are most interested not in the support vector classifier’s performance on the\n", - "training observations, but rather its performance on the test observations." - ] - }, - { - "cell_type": "code", - "execution_count": 32, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - " \n", - "pred.te 1 2 3 4\n", - " 1 3 0 0 0\n", - " 2 0 6 2 0\n", - " 3 0 0 4 0\n", - " 4 0 0 0 5" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "dat.te=data.frame(x=Khan$xtest, y=as.factor(Khan$ytest))\n", - "pred.te=predict(out, newdata=dat.te)\n", - "table(pred.te, dat.te$y)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "We see that using cost=10 yields two test set errors on this data." - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "R", - "language": "R", - "name": "ir" - }, - "language_info": { - "codemirror_mode": "r", - "file_extension": ".r", - "mimetype": "text/x-r-source", - "name": "R", - "pygments_lexer": "r", - "version": "3.6.1" - } - }, - "nbformat": 4, - "nbformat_minor": 2 -} diff --git a/src/artificial_networks_1.ipynb b/src/artificial_networks_1.ipynb deleted file mode 100644 index 8dfe6d5..0000000 --- a/src/artificial_networks_1.ipynb +++ /dev/null @@ -1,1094 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# Artificial Neural Networks" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Before you start with the lab, please take a few minutes to test your knowledge with the following four questions.\n", - "You may need to run the cell below to see the quiz. Move to the next question with the button on the right." - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "metadata": {}, - "outputs": [ - { - "data": { - "text/html": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "IRdisplay::display_html('')" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "New R commands\n", - "- `nn = keras_model_sequential()` creates a new neural network. \n", - "\n", - "The following examples make use of the pipe operator `%>%`. See here for what it does.\n", - "- `nn %>% layer_dense(units = , activation = , input_shape = , kernel_initializer = )` adds a dense layer\n", - "- `nn %>% compile(loss = , optimizer = )` defines the loss and the optimization method.\n", - "- `nn %>% fit(x, y, batch_size= , steps_per_epoch = , epochs = , validation_split = )` fits the neural network." - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "To install the deep learning library keras on your laptop for use with rstudio, run the following commands:\n", - "\n", - "```R\n", - "install.packages(\"devtools\")\n", - "library(devtools)\n", - "devtools::install_github(\"rstudio/keras\")\n", - "library(keras)\n", - "install_keras()\n", - "```\n", - "The installation will take some time." - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Regression with a Single Predictor" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "We look again at the `Wage` data set.\n", - "To establish a benchmark we will first fit a linear model and a linear spline model." - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "metadata": {}, - "outputs": [], - "source": [ - "library(ISLR)\n", - "library(splines)\n", - "attach(Wage)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "As baselines, we first fit a linear model and a linear spline model." - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "metadata": {}, - "outputs": [], - "source": [ - "linear.fit <- lm(wage ~ age, data = Wage)\n", - "linear.summary <- summary(linear.fit)\n", - "spline.fit <- lm(wage ~ bs(age, knots=c(25, 40, 60, 70), degree = 1), data = Wage)\n", - "spline.summary <- summary(spline.fit)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Since we will plot the data multiple times, we define the following function." - ] - }, - { - "cell_type": "code", - "execution_count": 22, - "metadata": {}, - "outputs": [ - { 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bPLM7FVn/ivs18t40WoRgAAAIBIi5IR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2my2ZTO535UVFRVeuXLl+/Xp9fT1lpxVqEc/MzG3l0ggAACAASURBVAAAoFpberoO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\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JqQkBDRdwQhtLS0hBNJGQzGZpOJncMp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- "text/plain": [ - "plot without title" - ] - }, - "metadata": { - "image/png": { - "height": 420, - "width": 420 - }, - "text/plain": { - "height": 420, - "width": 420 - } - }, - "output_type": "display_data" - } - ], - "source": [ - "agelims <- range(age)\n", - "age.grid <- seq(from = agelims[1], to = agelims[2], length.out = 100)\n", - "plot.baseline <- function () {\n", - " plot(age, wage, xlim = agelims, cex =.5, col =\" darkgrey \")\n", - " abline(linear.fit, lwd = 2, col = \"black\")\n", - " spline.pred <- predict(spline.fit, data.frame(age = age.grid))\n", - " lines(age.grid, spline.pred, lwd = 2, col = \"blue\")\n", - "}\n", - "plot.baseline()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Now it gets more interesting: we will create our first neural network." - ] - }, - { - "cell_type": "code", - "execution_count": 10, - "metadata": {}, - "outputs": [], - "source": [ - "library(keras)\n", - "nn = keras_model_sequential()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "So far the network is empty. With the following function we attach some layers.\n", - "\n", - "We do not need to attach the input layer. Instead we tell the first hidden layer that there is only one predictor by setting `input_shape = c(1)`. We would set the `input_shape = c(5)`, if we had 5 predictors.\n", - "\n", - "For reproducibility we set the seed of the function that specifies the initial weights.\n", - "The `kernel_initializer` determines how all weights except the biases are initialized.\n", - "The `bias_initializer` sets the biases to zero by default." - ] - }, - { - "cell_type": "code", - "execution_count": 11, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Model: \"sequential_2\"\n", - "________________________________________________________________________________\n", - "Layer (type) Output Shape Param # \n", - "================================================================================\n", - "dense (Dense) (None, 20) 40 \n", - "________________________________________________________________________________\n", - "dense_1 (Dense) (None, 20) 420 \n", - "________________________________________________________________________________\n", - "dense_2 (Dense) (None, 20) 420 \n", - "________________________________________________________________________________\n", - "dense_3 (Dense) (None, 1) 21 \n", - "================================================================================\n", - "Total params: 901\n", - "Trainable params: 901\n", - "Non-trainable params: 0\n", - "________________________________________________________________________________\n" - ] - } - ], - "source": [ - "nn %>%\n", - " layer_dense(units = 20, activation = 'relu', input_shape = c(1),\n", - " kernel_initializer = initializer_glorot_uniform(seed = 1)) %>%\n", - " layer_dense(units = 20, activation = 'relu',\n", - " kernel_initializer = initializer_glorot_uniform(seed = 2)) %>%\n", - " layer_dense(units = 20, activation = 'relu',\n", - " kernel_initializer = initializer_glorot_uniform(seed = 3)) %>%\n", - " layer_dense(units = 1, activation = 'linear',\n", - " kernel_initializer = initializer_glorot_uniform(seed = 4))\n", - "summary(nn)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Since each neuron has as many weights as there are neurons in the previous layer plus one bias parameter, there are $20(1 + 1) = 40$ parameters in the first layer, $20(20 + 1) = 420$ parameters in the next layers and $1(20 + 1)$ parameters in the last layer.\n", - "\n", - "Next we choose the mean squared error `mse` as our loss function and the `adam` optimizer, which automatically determines the learning rates for our gradient descent fitting procedure.\n" - ] - }, - { - "cell_type": "code", - "execution_count": 18, - "metadata": {}, - "outputs": [], - "source": [ - "nn %>% compile(\n", - " loss = 'mse',\n", - " optimizer = 'adam'\n", - ")" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "We run the optimizer for 20 epochs.\n", - "In each epoch the parameters are updated 1000 times in direction of the gradient.\n", - "This will take some time; instead of running the cell yourself, you can directly have a look at the output.\n" - ] - }, - { - "cell_type": "code", - "execution_count": 19, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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8985Zf7FrzjC++7OBN2//u7X/He/8xf+rFvfOg82+SNiHlTC+0t5cq1bYoBYNQa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- "text/plain": [ - "plot without title" - ] - }, - "metadata": { - "image/png": { - "height": 420, - "width": 420 - }, - "text/plain": { - "height": 420, - "width": 420 - } - }, - "output_type": "display_data" - } - ], - "source": [ - "history <- nn %>% fit(\n", - " Wage$age,\n", - " Wage$wage,\n", - " batch_size=length(Wage$age),\n", - " steps_per_epoch = 1000,\n", - " epochs = 20,\n", - " validation_split = 0,\n", - ")\n", - "plot(history)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "To compare to the other methods we transform the mean squared error at the end of training to the residual standard error.\n" - ] - }, - { - "cell_type": "code", - "execution_count": 20, - "metadata": {}, - "outputs": [ - { - "data": { - "text/html": [ - "
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\n" - ], - "text/latex": [ - "\\begin{enumerate*}\n", - "\\item 40.9290706890088\n", - "\\item 39.9130599754512\n", - "\\item 39.8196855504681\n", - "\\end{enumerate*}\n" - ], - "text/markdown": [ - "1. 40.9290706890088\n", - "2. 39.9130599754512\n", - "3. 39.8196855504681\n", - "\n", - "\n" - ], - "text/plain": [ - "[1] 40.92907 39.91306 39.81969" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "final.rse <- function(history) {\n", - " sqrt(3000/2998 * tail(history$metric$loss, n = 1))\n", - "}\n", - "c(linear.summary$sigma,\n", - "spline.summary$sigma,\n", - "final.rse(history))" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "We see that the neural network has a slightly lower training error than the benchmark methods, but we see also in the plot that the difference to the spline fit is very small.\n", - "Note that in contrast to the spline fit we did not need to specify the position of the knots for the neural network.\n" - ] - }, - { - "cell_type": "code", - "execution_count": 33, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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CpPnz7tdDpFIlHYlxdOSko6c+bM2zWelJR08uTJ2dlZLpebmZkZlHeTk5PHxsYm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2my2ZTO535UVFRVeuXLl+/Xp9fT1lpxVqEc/MzG3l0ggAACAASURBVAAAoFpberoO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\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7Xb7YFAAIZWJLnR2dlZj8fT3t4Or20I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- "text/plain": [ - "plot without title" - ] - }, - "metadata": { - "image/png": { - "height": 420, - "width": 420 - }, - "text/plain": { - "height": 420, - "width": 420 - } - }, - "output_type": "display_data" - } - ], - "source": [ - "plot.nn.pred <- function(nn, col = \"red\") {\n", - " nn.pred <- predict(nn, x = age.grid)\n", - " lines(age.grid, nn.pred, lwd = 2, col = col)\n", - "}\n", - "plot.baseline()\n", - "plot.nn.pred(nn)\n" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "An attentive reader may wonder, if it really is necessary to use such a large neural network to fit the wage data.\n", - "In fact, we saw that a neural network with one layer of five hidden neurons and relu-nonlinearity has the same expressiveness as a linear spline with four knots.\n", - "So let us see, if a much smaller model also does the job.\n" - ] - }, - { - "cell_type": "code", - "execution_count": 25, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Model: \"sequential_4\"\n", - "________________________________________________________________________________\n", - "Layer (type) Output Shape Param # \n", - "================================================================================\n", - "dense_6 (Dense) (None, 5) 10 \n", - "________________________________________________________________________________\n", - "dense_7 (Dense) (None, 1) 6 \n", - "================================================================================\n", - "Total params: 16\n", - "Trainable params: 16\n", - "Non-trainable params: 0\n", - "________________________________________________________________________________\n" - ] - }, - { - "data": { - "text/html": [ - "40.9290706442157" - ], - "text/latex": [ - "40.9290706442157" - ], - "text/markdown": [ - "40.9290706442157" - ], - "text/plain": [ - "[1] 40.92907" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "image/png": 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CpPnz7tdDpFIlHYlxdOSko6c+bM2zWelJR08uTJ2dlZLpebmZkZlHeTk5PHxsYm\nJyfj4uL6+vrkcnlIa+ylpKScOHFibm6Ox+NlZmaGuiVGVVVVRkbGyspKQUFBenp6SOdGUGJi\nIkVRd+7cyczMnJycJP/z5wJgJ+Bglvh9/fSnP3300UetVmtIuwABC8zPz3d1dTkcDrFYfODA\ngaDRPE6n8+bNm0tLS1wuNz8/v6ysLFJ13m1mZubWrVtMZ0xlZWVQdLPZbDdv3jQYDDwer6io\naO/evSE1PjU11d3d7Xa7pVJpVVVVSL0sfr+/q6trYmKCEJKamlpdXR1SjFibz+fr7Oycmpoi\nhKSnp1dXVwdN/9TpdL29vR6PJy4urrq6Gh/GjKGhoYGBAYqiFApFTU1NuIaKstvc3FxXV5fT\n6ZRIJJWVlaGuhg3RjhlV0tLSUldXF+lagiHY3R+C3S7n9XrXGEZGURSXy92ZWzzdt3Iej7fh\nEd9rN742v99P0/QWTSS8b+ObqZytmKGT2JIrVHgt7Vo7OdjhbQxwH2v/4d7Jn4VbWvlmPs+2\nNAfft3F8Et+Nw+Hs5FfyjoXXEuxAO7GbAQAAgrhcrpWVlaCpvgAAQfAVDYCFFhcXb9++bbVa\nmXmm2zmYzOFwdHV1LS4uxsTE7N27NycnJ/Coz+d75ZVXmOXr+Hz+8ePHQxrhsLy83Nra6na7\nuVxudnZ2ZWVlSLXNzMz09vY6HA6lUrl///6Q1lKJrO7u7rGxMZqmY2Jiamtrg8Y1ms3mrq4u\no9EYGxtbVlYW3qXdTCbTrVu3TCaTVCotKysLmpLi9Xq7u7tnZmZ4PF5ubm5JSUkY7xoANgA9\ndgBs43Q6W1pakpKS6uvrZTLZ9evXKYratntva2ujKOrQoUMFBQVdXV1LS0uBRy9cuOB0OlUq\nVVpaGkVRFy9eDKnxa9eu0TRdWlqanJys0+l0Ot36zzWbzW1tbVlZWYcPH+bz+S0tLdEywpjZ\nKKyhoeFd73pXRkZGW1tb4FG/33/9+nWRSHT48OH09PTW1lZmt9yw8Pl8169fl0gk9fX1qamp\nra2tQctZ9/T0GAyGmpqasrKy0dHRu7fQBYBthmAHwDbLy8t8Pr+ioiI5Obmqqsrj8RiNxu25\na6/Xy2yTmpqaWlBQkJKSMj8/H3gDZom4Y8eOHT58WKlUhrT6l9lspiiqurq6qKiovr5eIBAw\ns2vXaXFxMT4+vqSkJCUlpbKy0mq1hjEAbSmDwaBSqZKSkoRCYUFBgdPpDNyxw6gfxicAACAA\nSURBVGKx2O326urqlJSUffv2SaXSoL0lNmNlZcXlclVXVycnJ5eVlcXExAQl9fn5+eLi4vT0\n9Ozs7JycnKBfNwBsPwQ7ALYRCAQURTG9dB6PJ9TNITaDx+NxudzVLa1cLtfdd72601eoa7oy\na6Qxaczv999zmb018Pl8t9vNbKuwei04pAIiJTY21mw2MwtBM4vUBC4XxzzDzHPObEYXxscl\nEAiY7dEIIT6f7+5JoHw+P/DXHS1PKQCL4U0IwDZJSUkSieSNN95QqVTz8/OJiYkhrSG8GVwu\nNycn5+bNm2q12mw222y2oK3us7OzdTrdCy+8wOVyvV5v4JrP9xUTEyOTyW7fvj0xMWG3230+\nX0j7vqenp/f391+6dEmhUMzMzKSnp29gDeSIUKvVY2Njr7zyilQqNRqNZWVlgTN/Y2NjU1NT\nr1y5kp6ebjAYuFxuGMfYyWSypKSky5cvp6Wl6fV6oVAYtGBbXl5eb28vszPv7Oxs0IYcALD9\nsI7d/WEdO4g6brd7eHjYarXK5fL8/PztXJSBpmmdTre4uCgSiQoKCu5e7ba7u3tiYoKm6eTk\n5EOHDoXUOEVR7e3tBoNBKBRWVFQE7WN7Xw6HY2RkxG63K5XKvLy8LVpIbyv4fL7p6WmXy6VS\nqe5Owz6fb3R01GAwSKXSgoKC8AZWiqJGR0eNRqNUKi0sLAzauIIQMj09vTp5IqSkDhC9dvI6\ndgh294dgBwAAAKt2crDDGDvYDh6PZ3l5OXDENxBCXC7X8vLyFm0f7nQ6N9P4ysqK0WhkRqTB\nTmC32/V6/cYmOPv9fqPRuLKy8nbf5G022xqNb+n71+12b6Zxq9VqMBiwvB/AKoyxgy03MTHR\n1dXl8/k4HE5RURGbVrrS6XTj4+NCoXDfvn3x8fEhnTs0NHTnzh2apjkcTnl5eX5+ftAN9Hr9\n/Py8UCjMzs6+e291p9M5OTlJUVRaWtrdy9QNDg729fUxO2tVVFQELSa3Noqirl69qtfrCSFS\nqZRZMyWkh7YZPp9vcnLSZrMlJibutF3hrVbr9PQ0ISQzM3MDz8nc3Jxer4+Njc3Ozg71KnBH\nR8f4+DghRCgUHjx4MKSdSe12+9WrV61WKyEkMTHxyJEjgZfmaZq+efMms8GuSCSqra0NusC9\nyfevx+OZmJhwu90pKSl3byus0+m6u7uZxktKSoqKitbfst/vb21tnZubI4SIxeJDhw4FvRFo\nmp6amjKbzfHx8VlZWRvePQ8guiDYwdbyeDxdXV379u3Ly8tbWFi4fv36PYNINOrs7NTpdAKB\nwOfznTt3rrGxcf0DjCwWS29vL5/PV6lUS0tL3d3d6enpEolk9QZarfbWrVtJSUkOh2NoaOj4\n8eOBA6dsNtv58+clEolIJBocHKypqcnKylo9ajab+/r66urq0tLSxsfHb926lZaWdvfQqLcz\nODjo8XjOnDkjEAja2tq6u7uPHDmyznM3ye/3v/HGG06nUy6Xj42NZWVlhboE8dbR6/WXL1+W\ny+U0TQ8MDBw9elSpVK7/9O7ubp1Op1KpJicntVptY2Pj+rMdM4itqakpISHhzp077e3t73zn\nO9d/17dv346NjW1sbPT5fNeuXevv7y8vL189Ojk5ubCwcPz4cZlM1tPT097efubMmdWjm3z/\nulyu8+fP83i82NjYoaGhsrKygoKCwKO3bt3av3+/RqOZm5trbW1NS0tb/xckrVZrMplOnTol\nkUi6uro6OzuPHz8eeIOWlha9Xp+YmKjT6SYnJ+vr65HtYDfApVjYWmaz2e/35+XlcTic1NRU\nqVRqMpkiXVR4TExMpKWlvfvd737Pe94jEAhu3bq1/nNnZmYIISdPnqyvrz9x4sTqT1b19/dX\nVFQ0NDScPHlSIpGMjY0FHh0eHlYoFCdOnDh69GhxcXF/f3/gUZPJJBaL09PTORxOTk4Oh8NZ\nWVlZf20mk4lJmQKBQKPRbOfva25uzm63M0/LkSNHdDrdzrl8Pzg4qFarGxsbm5qa1Gr14ODg\n+s/1eDyjo6PMgzp58qTT6Qz6da/NZDIplUqFQsHlcnNzc10ul8PhWP/pRqNRrVYLhUKxWJyR\nkRH0CzWZTCqVKiEhgZn94HA4Ai/fb/L9q9PphELhyZMnGxoaKisrg16oKysrqy9RZpJySI2b\nTKaUlBSZTMbj8XJycphSA4/Oz883NTXV19cfP358aWnJYDCsv3GA6IVgB1tLKpXSNM0samqz\n2RwOBzvmoDDrqDF9NlwuVywWry7Pth5MzwFzCvPfwL4Ev9/vdruZNUo4HE58fHxQvnG5XKsd\nGwkJCasLiTGkUqnL5bJYLIQQvV7v8/lCes5jY2P1ej3zGbm4uLidvy+n0ymRSJjV6ZiHv3OC\nndPpXF01JiEhIaTCmBszpwsEgtjY2JBOl0qlKysrzOtkaWmJz+eHNO9VKpUyb0C/37+8vBz0\nC2WyGrNI3tLSkkAgCFwdcJPvX6fTGR8fzyzOEh8f7/V6A4fxSaVSn8/HXPS3WCwulyukxqVS\nqcFgYBpcWloSi8WBq8A4nU4+n880yHxL2TmvJYAthUuxsLXEYvGePXuuXr0aFxdns9lSUlKS\nk5MjXVQYcLlcgUAwPDyckJBgsVgsFktmZub6T1er1X19fefPn5dKpTabjcPhBJ7O5XITExOH\nhobKy8vtdvvc3FxZWVng6Uqlcnh4OD09PSYmZmRkJOiaoFKpTE9PZxq3Wq35+fkhfV4WFRVd\nuHDh7NmzPB7P5XJt23VYQohSqWSWqUtKShoZGREKhaGOXNw6SqVSp9MxT7VWqw1ppRWZTCYS\nifr6+goLC/V6/crKSkVFxfpPV6vVOp3u5ZdfFovFVqt1//79IV1S3Ldv35UrV5aWlnw+H03T\nQVe3NRrN+Pj42bNnmcYrKysDG9/k+1elUnV1dS0sLEil0sHBQblcHriCsVQqzc/Pv3z5skwm\ns9lsGRkZIV3dzsvLm5ycPHv2rEgkstvtBw8eDDyqUCj8fj/Tzzo9PR3qookA0QvLndwfljvZ\nPIPBYDQaZTJZSIO+d7jl5eVr164xHQYymezEiROBHQb3NTk52dnZ6fP5BAJBZWVlUC60Wq2t\nra1ms5nD4eTm5lZUVAR16XV0dExOThJCFApFXV1d4Pg8xsLCArOOXUgflgyv1zs7O+v3+1NS\nUu5ueUuNjo729vb6fD6xWMzsZLWd974Gr9d748aNhYUFQkhKSkptbW1IqwMuLy+3tbU5nU4e\nj1dSUlJYWBjSvfv9/rm5OWYduw2EXafTOT8/z+Vy09PT7y77vo1v5v3b3d09NjZG03RcXFxt\nbe3d7ev1epPJFBcXt4Hftc/nm52d9Xq9ycnJd/99np6e7urq8ng8AoFg//79QWtlA2zGTl7u\nBMHu/hDsYA0mk0kkEm0s/fj9fqfTGXQJKZDD4RAIBG8XIDweDxOANnDXO5nP53O5XBKJZAcO\ndWfGn909SXk9aJp2Op0ikSiKFkYOC4qiPB7PNn9DYNz3LQawMTs52OFSLMCmyOXyDZ/L5XJj\nY2PXuMHan4Uh7ZQaRZhJlJGu4t42FukYHA4nIuEm4vh8fqT2kL3vWwyAffAlBgAAAIAlEOwA\nAAAAWALBDgAAAIAlEOwAAAAAWALBDgAAAIAlEOwAAAAAWALBDgAAAIAlEOwAAAAAWALBDgAA\nAIAlEOwAAAAAWALBDgAAAIAlEOwAAAAAWALBDgAAAIAlojXY+Smvj450EQAAAAA7SfQEO/dc\nyy+/+fH3Hi3LSZYJeTyBkM/ji+XpBZVNj/ztk79qmXZHukAAWA+PxzMxMaHT6ZxOZ6RrgS3n\n9/unp6fHxsYsFkukawHYFfiRLmBdvCO//vC7P/b8gJ0QQgiHHyNTKuNiiNdlN2q7Lo52XfzN\nj77xldNffu75Lx6WR7hUAFiD3W6/cOECl8vlcrm3b98+cuSIUqmMdFGwVbxe78WLF10uV0xM\nTHd3d3V1tVqtjnRRACwXDT12VMfjD37o+WHZ4Ue//fyrHZNmj9dpXp6bnp5bWDY7XZaZ3gvP\nPfFu9fzLj58684ORSBcLAGvo7+9PSEg4c+bM6dOnMzMz79y5E+mKYAtptVq/33/mzJmTJ0/u\n27evp6cn0hUBsF8UBDvva089PcKp+9bVyz/5/AdPVmbFvaWXUSBLL23886/9vv2PH8uxtT75\nw4v+SNUJAPdlt9tVKhWHwyGEJCUl2Wy2SFcEW8hutysUCj6fTwhJSkpyuVwURUW6KACWi4Jg\nNzM4aCVFZx7K5611q7imv/6Ahhh6ema2qy4ACJlcLp+ZmXE6ncxIO4VCEemKYAvJ5fLFxUWz\n2ezz+bRarUwmY0IeAGydKHiPyWQyQiZmZiiSv1a1lF5vJkQtEm1bYQAQquLiYoPB8NJLLxFC\nZDLZkSNHIl0RbCGNRrOwsHDu3DlCSExMTF1dXaQrAmC/KAh2ymNNZbyLzz72qRN//OE7s++d\n27wzr37mc88bSXHjA8nbXB4ArJ9AIHjggQfMZrPf709ISOByo+CiAWwYh8Opq6uzWq0ejyc+\nPh7ddQDbIBreZoWf+vHjL5z4+k8eKnyh4viZptqywuw0pUwi4LhtFotxZqj75uWXX26bdQtL\n/+7HjxVFuloAWBOHw0lISIh0FbB9ZDJZpEsA2EWiIdgRSd3XLrcWfO0fv/70K2ef7T57j1vE\nZBz++Ff+9VsfqcDfDwAAANi1oiLYEUJiS//0Oy//ydcW+tqutXYOTC0ZTSt2LzdGqkjJLiit\nPHL0YG78mnMrAAAAAFgvWoIdIYQQjjil9NjDpccCfkT7/YTL5USsJAAAAIAdIxpGLlvG269f\n755yBP7MP3/lu3/ZkKcQ8XmC2NTi5g//08taV6QKBAAAANgJoiHY9f7LO+vr/+xZ3f/+ZPHF\nPz/Y+PlfXNWa/LFKOWd54MKzXzyzr+bvLhgiVyUAAABAhEVDsAtm/+PnPvrrKW7e+3/UumC3\nLC9b7TNXnvpQCen9wZ997nXH/c8HAAAAYKUoDHbUxf//BT0p+PRvfvXJ2mQRhxCOKP3IJ35+\n7vuNwoXf/vqiN9L1AQAAAERGVE2eYBhnZhwk9cSZ/YK3/Djt1Kl95OLIyBwh6vU3NjExUVtb\n63a717gNc5Sm6Q2VCwAAALBNojDYxSuVAqLl3DUT1uv1EiLihbbqSWZm5tNPP+3xeNa4zfnz\n55955hnO3fcIAAAAsJNETbCzT/b0jClzs1Okoqb3no77w0u/bf12fV3M6nH/0H/97g6J+/De\n9JCa5fF4Dz300Nq3MRqNzzzzzEaKBgAAANhGUTPGbuIXHyzPT5WJpSm5x54ak3DHn3r/x/7b\nRAghxKG79B9fPH38iS666G8+2Yh+NQAAANiloqHHru7JO7qPaHVvGh/X6XRURqJltveOgTwk\nJ0T3y7/96D/1cxSHvvHzL5Rh/wkAAADYraIh2HElKk2JSlNysPEtP/a63Ex/o6LmL7/yI827\nP/BQmRKxDgAAAHavaAh2gXxeLxEIeIQQIogRMT9LO/V3X41gSQAAAAA7Q7SMsXMM/e6Jh6uz\npEKhUCjNqnnk6y+PBy9Yd+vLhTExB745EJH6AAAAACIuKoKdo+2JhgMPf+N3HdMOvjSWZ59u\n/81XzlSd+fEQFXgrv9ftdrspf6SqBAAAAIisaAh2uqc/9WSnQ1H/+EvDFofVZltu/9lfFosN\nrz/2vq92rLWwMAAAAMCuEgXBznjxXIeP1/Tkb795pkDKI0SorPqrZy8894Ekqv/bH/5mD3X/\nFgAAAAB2gygIdvrlZULU1dXJgT9MefjHT30gibrz3b/5kTZShQEAAADsKFEQ7BQKBSHLMzNB\nV10V7/vn759JcF9/4tFnprCLKwAAAEA0BDvl0aMlxPpfX3n8iv6tEyNSPvjU907FWS889q7P\nXlzCnAkAAADY7aIg2JE9f/Odj2S7u7//QG7+0Yc/+tgPLur/50jWh3/+3F9oPN3/fLLiyMd+\n2mmPZJUAAAAAERYNwY4knHr6xutP/p8D0vkrv/uPf332mv5/DyW/69mWs18+lWFq+ff/uKh/\n+yYAAAAAWC9Kdp7gpTR94T+b/sG+qNNNWGRZgYe4qSe//oru85Ot58613hmjKuWRqhEAAAAg\nsqIk2DG4scl5pcn3OsKRqg+9968PvXe7KwIAAADYOaLiUiwAAAAA3B+CHQAAAABLINgBAAAA\nsASCHQAAAABLINgBAAAAsASCHQAAAABLINgBAAAAsASCHQAAAABLINgBAAAAsASCHQAAAABL\nINgBAAAAsASCHQAAAABLINgBAAAAsASCHQAAAABLINgBAAAAsASCHQAAAABLINgBAAAAsASC\nHQAAAABLINgBAAAAsASCHQAAAABLINgBAAAAsASCHQAAAABLINgBAAAAsAQ/0gUAAEC0oml6\ndHR0ZmaGx+Pl5uZmZGREuiKA3Q49dgAAsEEDAwMDAwMpKSnx8fFtbW1zc3ORrghgt0OPHQAA\nbNDExERpaWlubi4hhKKoiYmJtLS0SBcFsKuhxw4AADaIpmku983PES6XS9N0ZOsBAPTYAQDA\nBmVmZt65c8fn83k8nvHx8aqqqkhXBLDbIdgBAMAGlZaW8ni8sbExHo9XUVGRlZUV6YoAdjsE\nOwAA2CAul1tSUlJSUhLpQgDgTRhjBwAAAMASCHYAAAAALIFgBwAAAMASCHYAAAAALIFgBwAA\nAMASCHYAAAAALIFgBwAAAMASCHYAAAAALIFgBwAAAMASCHYAAAAALIFgBwAAAMASCHYAAAAA\nLIFgBwAAAMASCHYAAAAALIFgBwAAAMASCHYAAAAALIFgBwAAAMASCHYAAAAALIFgBwAAAMAS\nCHYAAAAALIFgBwAAAMAS/EgXAADABna7fXh42OFwqFSqvLw8Ho8X6YoAYDdCjx0AwGa5XK4L\nFy6YzWapVDoyMtLe3h7pigBgl0KwAwDYrJmZGaFQePTo0fLy8rq6uunpaY/HE+miAGA3QrAD\nANgsr9crFAo5HA4hJCYmhhBCUVSkiwKA3QjBDgBgs1JSUkwmU39///z8fGdnZ0JCgkQiiXRR\nALAbIdgBAGyWXC6vqamZmppqbW3lcDh1dXWRrggAdinMigUACIPMzMzMzMxIVwEAux167AAA\nAABYAsEOAAAAgCUQ7AAAAABYAsEOAAAAgCWiNdj5Ka+PjnQRAAAAADtJ9AQ791zLL7/58fce\nLctJlgl5PIGQz+OL5ekFlU2P/O2Tv2qZdke6QAAAAIDIio7lTrwjv/7wuz/2/ICdEEIIhx8j\nUyrjYojXZTdquy6Odl38zY++8ZXTX37u+S8elke4VAAAAIBIiYYeO6rj8Qc/9Pyw7PCj337+\n1Y5Js8frNC/PTU/PLSybnS7LTO+F5554t3r+5cdPnfnBSKSLBQAAAIiUKOix87721NMjnLrv\nXr389/m8u44KZOmljX9e2viu+kcrmn/65A8vfvonjdGQVgEAAADCLQoy0MzgoJUUnXnoHqku\nQFzTX39AQww9PTPbVRcAAADAzhIFwU4mkxGyMDNDrX0zSq83EyISibanKgAAAICdJgqCnfJY\nUxlv6dnHPvXHibed+eqdefXTn3veSIobH0jeztoAAAAAdo4oGGNHCj/148dfOPH1nzxU+ELF\n8TNNtWWF2WlKmUTAcdssFuPMUPfNyy+/3DbrFpb+3Y8fK4p0tQAAAAAREg3Bjkjqvna5teBr\n//j1p185+2z32XvcIibj8Me/8q/f+kiFbNuLAwAAANghoiLYEUJiS//0Oy//ydcW+tqutXYO\nTC0ZTSt2LzdGqkjJLiitPHL0YG78mnMrAAAAAFgvWoIdIYQQjjil9NjDpccIIX7KS/MEPE6k\nSwIAAADYMaJg8sSbsKUYq/l8Pr/fv3WN0/QO3VqYotaa7r125TRN+3y+NU53uVwbr2wrURTl\n8Xg2fLrNZlv7gW/G2r+RnWxLK99M436/fzO/7k2K3l8owMZER48dthRjMY/H097ePj8/z+Fw\ncnJyKioqOJyw9cS63e6bN28uLi5yOJy8vLyysrIwNr5Jc3NzXV1dTqdTIpFUVlampKQEHnU4\nHDdv3lxeXubxeIWFhSUlJYFHaZq+ffu2VqulaTo5ObmmpiZooZ+enp6RkRGapjkcTllZWUFB\nwXY8pHWgKOrChQsWi4UQEhMT09TUJJFI1n/62NhYd3c3E3bj4+NPnDgRxtpWVlba29tXVlaE\nQmFpaWlubm4YG99SBoOho6PDYrGIRKLy8nK1Wh3GxpeXlzs7O61Wa0xMTHl5eVZWVkinX7ly\nZXFxkRDC5/Pr6+tVKlUYa1vbwsJCZ2enw+GQSCT79+9PS0vbtrsGiKBo6LHDlmKs1t3d7XA4\njh49WldXNz09PTo6GsbGu7q6PB7PsWPHamtrJyYmdDpdGBvfDKfT2dbWlp2d3dzcnJmZeePG\nDbf7LZ3O7e3thJDGxsbq6uqRkZGpqanAo1qtdnJysra29tixYx6Pp6urK/CowWAYHh5WqVQ1\nNTXx8fE9PT0Oh2MbHtR6tLa2Wq3W4uLiiooKj8dz9erVkE6/desWl8stLi5WqVRms/nWrVvh\nrU0mkzU1NZWWlt66dctgMISx8a3j9/tbWloSExObm5v37NnT0dFhNpvD1ThFUa2trUlJSc3N\nzfn5+e3t7Tabbf2n37lzZ3FxMTc3t7KyksvlXr9+PVyF3Zfb7b5x40ZmZmZzc7NarW5ra9ux\nHdgA4RUFwe7NLcW+dfXyTz7/wZOVWXFv6WVkthT72u/b//ixHFvrkz+8uFWX82CLLC4uFhUV\nqVSqtLQ0jUbDfLkPY+N79+5VKpXp6elqtTq8jW+GwWDg8XilpaVyubysrIymaaPRuHrU7/fr\n9fqSkpLExMTMzMz09PSgyhcXF9VqdXp6ulKpLCoqCjo6MTHB4XCOHj2qVqubmppomg7KhRFk\nNBpVKlVxcXF+fn52dnZIKWFpaYkQsn///uLi4mPHjnG53NnZ2XAVZrfbbTZbWVmZQqHIzc1V\nKpU759WyNrPZ7HK5Kioq5HJ5YWGhTCZbXl4OV+MrKysej4dpvKioSCKRML+FdZqbm5NIJAcO\nHMjJySkvL/d6vduWroxGI03TZWVlcrm8tLSUx+Pp9frtuWuAyIqCS7EhbCn203/q6ZkhjSFc\nKZidnX3f+97n9XrXuA3zV3LHDtKKdkKhcPXT3WazhXfvEJFIFNi4WCwOY+ObIRKJvF6v2+0W\niUROp9Pn8wmFwtWjXC6Xz+fbbDbmupXdblcqlUGnr/GkSSQSmqZtNptUKmW6nWJjY7f8Ia0P\nn8+325kxFcRqtXK5IXy3lMlkhJDFxUWNRsMMygx80jaJacpms0kkEr/fb7fbo2UbG6ZOm82W\nkJBAUZTL5Qrj0yISiWiattvtMpls9RW7/tMFAoHdbvf7/Vwu12Qykf95nreBUCj0+XxOp1Ms\nFrvdbq/XGy2/UIBNioJgJ5PJCJmYmaFI/lrVMluKqUN86yYmJj7yyCNrf4m8efPm1NTUzhmb\nxTLMxSOj0ej1evV6fWNjYxgbLyws7O7u1uv1brfbaDQ2NTWFsfHNUCqVCoXi/PnzKpVqaWlJ\npVIpFIrAG+zZs+fWrVsLCwsOh8NisdTU1AQezc/Pv3DhwqVLl0Qi0dzc3P79+4OODg4Ovvrq\nqxKJxG63C4XCzMzMwBtQFNXX17e4uCgSiQoLC1NTU4PKm5iY0Gq1Pp8vIyNjz549IcUvr9fL\nNB4TE1NUVJSc/JbNYPbu3dvZ2fniiy/yeDyn0xnS4D+xWBwTEzM1NTU7O8tMtamsrFz/6WsT\nCAS5ubktLS1paWlMBAl60nYsiUSSmZl5+fLl1NRUo9EoFArDOJhMJpOlp6e/8cYbKSkpBoNB\nIpEEDQZdW1lZ2cWLF1988UWRSGS321UqVUivpc1QKBQqlerChQtJSUnLy8sKhSLo2xEAW3Gi\noCNq+FvlxV8Y3vvx3/zxh+/Mvndu8868+pnT73mqN/cbA31fCvfmEz/96U8fffRRq9UqlUrD\n3DQQQghZWlqanp7m8/kajSYuLi68jS8sLMzOzvL5/JycHKbLZ4fw+XxardZsNickJOTk5PB4\nwV3Ss7OzCwsLTOC4u8vNarXqdDqKojIyMoLCEyHE5XJ1dnZaLBa5XF5VVcXnv+VLUVtbm9Fo\nzM/Pt9lsWq322LFjiYmJq0dnZmba2toKCwuFQuHQ0FBOTk5paen6H1dLS4vFYsnLy7NYLOPj\n401NTQkJCYE3mJ6eHhoa8vv9OTk5+fn562+ZcfXqVYPBwOfza2pqkpKSQj19DTRNT05O6vV6\niUSSm5sbRR08NE2Pj48bjcbY2Ni8vDyBQBDGxv1+P9O4TCbLzc0NtXGDwXD79m2v15uamlpW\nVhbGwu7L5/PpdLqVlZX4+Pjc3Ny732IAG+bxeEQiUUtLS11dXaRrCRYNwY44Wr/ScOLrnTZh\n0v22FDvf8r0jYf/oRrADNvH7/b///e+PHDnCpKJr167FxcUFfuK2trbGxMQwvYA6nW5wcPD0\n6dPrbJyiqD/84Q/Hjh1jekcuX76cmJgYUi4EANj5dnKwi4JLsdhSDCDsVr/R3fOrXbi+7zHr\nrYSlKQAAWI+oCHYEW4rBzrS8vDw3NycQCDQazTbPzHA4HOPj4xRFMXNj138il8vNyMjo7OzM\nz8+3Wq1LS0tBi+RlZWW1tbUJBAKhUDg8PBzScm58Pj89Pb29vT0/P99sNhsMhoqKiqDb2Gy2\niYkJv9+fmZkpl4e88uTc3NzS0pJYLNZoNNs2Eh8iRa/XM0MpNBpNSEseAuxaUXEpNoDP6yUC\nwfZmOFyKhXvS6XRdXV3Jyckul8tutx8/fnzbJp9ardbz58/LZDKRSLS4uFhVVZWdnb3+0ymK\n6u/vX508cfdw+MnJycDJEyH1unm93v7+/qWlJZFIVFRUFDQMzmQyvfHG3YUy4gAAIABJREFU\nGwkJCTweb3l5ua6uLj09ff2N37lzZ2RkJDk52WKx+P3+48ePI9utx/T09MzMDLMGeHgHJm6p\niYmJjo6O5ORkt9tttVqbm5t31DBZ2M1wKXbzHEO/+9aXv/OLV7um7SQ2s/LMR574py+c1rxl\nEO+tLxfWfVf6pVtdX9obqSphVxkYGFjd1OHSpUujo6Pl5eXbc9cjIyNKpfLIkSOEkKGhocHB\nwZCCHZ/PX3sYu1qt3vDuBQKBYI3nYXh4OC0trba2lhDS29s7NDS0/mDn8/mGh4dra2vT09P9\nfv9rr702OTm5gekXu41Wq719+7ZaraYo6sqVK/X19SHNbI2gwcHB0tLSPXv2EEKuXLkyMjJy\n4MCBSBcFsNNFRbBztD3R0PiNTgchHKE0lrZNt//mK2cutDx1/eVP7PnfB+D3ut1uAYUFimE7\n0DTtdrvj4+OZf8bFxW3nuvYul2t1+vA23/UmuVyu1U2l4uLiQlo52ePx+P1+5jnncrlSqTSK\nHngEabXa4uJiJh7x+XytVhstwS7odb5zNlAB2MmiYOcJonv6U092OhT1j780bHFYbbbl9p/9\nZbHY8Ppj7/tqh/v+pwNsAQ6Ho1KpBgcHV1ZWFhYWpqent3MTTJVKNTU1tbi4uLKyMjQ0tBV3\nbbFYTCYTs1xcGKlUqvHx8eXlZaPRODo6GtJlQbFYLJVK+/r6LBbL1NQUs/5feMtjpcC1eUUi\nEUVRka1n/VQq1dDQ0MrKyuLi4tTUVBRdRAaIoCjosTNePNfh4zU9+dtvnkkmhBCesuqvnr0g\nc5S9/zff/vA3H771jbIoeBDAQpWVla2tra+//jqHw8nNzc3JyQm1BbPZbDab4+PjV3v+1omZ\nmnDlyhVCiFKpDO/1KYqirl+/zuwcJZPJ6uvrwzi6tKioyGq1Xrp0iRCSnJwc6sJmtbW1bW1t\nr732GrNjbLT0PG0eTdOzs7NMf2eor5a0tLSBgQE+n09RFNN7t0VFht2BAwdu3LjBvMU0Gk1e\nXl6kKwKIAlGQifTLy4Soq6vfsgRrysM/fuoDlx7+zXf/5kcfuvbpEGbtAYSLRCJpampyu918\nPn8Da5/29PSMjIyIRCK3271nz56QFnvjcDhVVVUVFRU+ny/s6+gODg46nc7Tp08LBIKbN292\nd3fX19eHq3Eul3vw4MHKysqNbQgml8tPnTrF7Jq1bXsYRJzP57t06ZLVahWLxd3d3fv37w9p\nqvK+fft8Pl9XVxfzDSSK4pFYLH7ggQfcbjePxwtaZBsA3k4UvFUUCgUhYzMzblIR+AGmeN8/\nf//MuT87+8Sjz7zn9Y9mYa0siIyN5aqVlZWRkZGjR4+qVKrFxcUrV65oNJpQO8b4fP5WfNqZ\nTKaMjAxmhq9Go+nq6gr7XWyy7JiYmHBVEhUmJyeZqC0UCnU63e3bt3NyctY/VZnH41VWVoZx\n+7VtFkVbgADsBFHwlVd59GgJsf7XVx6/on/rcJ+UDz71vVNx1guPveuzF5cwZwKiidVqFYlE\nzBCx5ORkgUBgNpsjXdSbYmNj9Xo9M7puaWlp29Zwgbdjs9kSEhKYDs6kpCSKopxOZ6SLAoAd\nKgp67Miev/nOR352+j++/0DuH+qPP1BW+8iXP9vIrMea9eGfP3et9n3P/fPJio6/ekeMnRAs\nNAdRIS4uzu12Ly0tJSUlzc/Pe73eUAdObZ2ioqILFy68/PLLPB7P6XSG8TosY3JyUqfTMQsU\n5+fnR9HWFFqtdnJykhCiVqtDuhhKCHG73f39/QaDQSKR7N279+6VmcfGxiYnJ5nBZBqNJvCQ\nXC7XarVGozEhIUGr1cbExGCpXgB4O9EQ7Mj/Y++949tI7zv/ZwaDSnQCIEgQ7L1LFCVxKVKd\nqrtrezd2EvuSSz075eL4Ui7JxXFyvjv/El9s55XYt7nUu7RLNuvd1a5WEimx9w6QRCEJFoCo\nRO/AYOb3xxMzyFASSQmiSGref1F6Zp55MGhffJ/v9/MR3/hfIw9KvvKbf/x+37t/1qdTfekH\ngR0AOZ/6i6GPCn7qS9/85E//DAAAqF7oNDSHEpFIVFVV1dvby2KxkslkXV3d4ZG/5vF4N27c\nsFgsBEEolcrMZuw2NjYmJiYqKiowDFtcXEylUtXV1Rmc/8WxsrIyNzcHZQvn5uYAAPuK7YaG\nhnAcLyoqcrvdvb29165dSw/OjEbjwsJCRUUFQRDT09MIgqQLE6rVarvd3t3dDQBgsVhnz57N\n1IOioaE5fhyJwA4AhvLKb/zdlV8PO0ymtYCgIH0Izb3+e3dNv7Y+fP/+sHYZP7VvhyIampdC\nfX19YWFhMBgUCoWHTU8fmqS9iJnX19fLysoaGhrgVVZWVjIb2C0vL6+trZEkWVBQUFFRkcF0\n4Pr6elVVVU1NDQAAQZD19fW9B3bhcHhra+vmzZswfP/kk0+sVmt6E8P6+np1dTWUmiNJcn19\nnaI43dLSUlNTE41GxWIx3UZAQ0PzFI7UBwSalVNW/9icHMIvbHvrZ9veOugV0dA8D0KhcFt/\n9dVhO9hCkAxbGppMJo1GAz3QFhcXAQCVlZWZmpwkyWdeOTw4/fSnTI6i6GMnz8rKousdaWho\nduVIBXY0NDQ/gCAIl8uF47hcLj9CfqlqtXpqagr28+r1+sxKb2xsbJSXl8OkGoqiGxsbGQzs\nCgoK5ufnYUhnMBjq6ur2fi6fz5dKpUNDQ9nZ2ZFIJBKJ5ObmUibX6XQkSZIkaTQaD8yb7gAg\nSXJraysej8tksletnfnQ4vV6Q6GQRCI5PBUgNBmEDuxoaI4eiUSip6cnFApB/bz29vbs7OyX\nvag9UVRUlEqlTCYTSZIVFRVw8/FFkNlcIACgvLwcbpICAGpra/frUatWqzUajd/vJ0lSoVBQ\ncm8wAN3Y2EAQpL6+/hnErg8nqVSqr6/P4/FgGEYQRGtrKyWipTl4JicnV1dXWSxWIpFoaGjI\n4I8fmkMCHdjR0Bw99Ho9AOCNN97AMGxycnJ2dvby5csve1F7pbS0dL8tpXuksLAQdh6gKGow\nGDJusVBRUQGbJ/YLjuNarba5ubmkpCQQCHR3d1ut1ry8vO0DEASpqqp6cWHuy8JkMkUikdu3\nb3M4HI1GMzU1dfv27Ze9qFcal8u1trZ25coViURiNptHR0cLCwvpTOox4wjo2NHQ0FAIBAJK\npZLJZCIIkp+ff3g08F4uxcXFJ06ccDgcVqu1rq5uv0m1F0coFCIIIj8/HwAgFApFIlEgEHjZ\nizoI/H7/9g6sWq2ORCJHyKn2WBIIBPh8PlTbgS/IYDD4shdFk2HowI6G5ughFArtdnsikSBJ\n0mw2Hx4NvJdOSUnJ5cuXr1y5cqgU8vh8PoPBMJvN4AcGwa9I04xIJHK5XFBO2Ww283g8uqX3\n5SIUCkOhkMfjAQDAF+Rha8mneX7o9xjNcQaWolutVgaDUVZWlr75daSprq622+0ffvghg8FA\nEGSnhnAoFFpcXAwGg2KxuLa2NrNbLcFgcHFxERZf19bWUhyfcBzX6/UOh4PD4VRWVspksifN\nc8zwer3QZlcmk9XU1DCZzO0hDMNOnjw5NTWl1WqTyaRarT42L8WnU1JSYrFYPv744+0au5e9\nolcduVxeXFz88OFDWGPX2NhI78MePzIsN3Aseeedd774xS8Gg0G6gejIodVqV1ZWysvL4/H4\nyspKR0dHTs4xEbEmSdLpdKZSKZlMRumKTSaT9+/f5/P5SqXSYrGkUqmrV6+iaGbS84lE4t69\ne2KxWKFQmM1mBEEuX76cnhsbHR3d2toqLS0NBAIWi+XKlSuvQkIxHA4/ePAgJydHKpWurq5m\nZWV1dHRQjolEIh6Ph8fjSaXSl7LIl4XL5UokEjKZjHZ9PST4fD7oU0d/qT0ziUSCzWYPDQ29\n9tprL3stVOiMHc1xZm1trampCWq9JpPJtbW1DAZ2yWRydnZ2c3OTyWRWVFQccEUXgiBPeixO\npxPH8Y6ODhRFS0pKPvjgA6/Xm6m2WbvdDgBob2+H7ggffvih3+8Xi8VwNJVKmc3mCxcuQBvc\ncDj8iuwUb25u8ng8+BGvVCofPHgQi8UouRAej/dqWoHBFwPN4UEsFm+/Z2mOH3RgR3OcIQhi\nO1PFYDAyW7g9NTXl8/mam5uj0ahGo+FyubAY+aVDEASCIDCLhqJoZnWA4S190uTw7/R7fsB7\nAlarddt5Qq1WH9h1Ka808AL0VmhoaGj2Ah3Y0RxnoHhYMpmMx+Nra2sZLPEhSdJqtZ49exYW\nS/n9/s3NzUMS2CkUCgDA6Ohobm7uxsYGl8vdaTn/zCiVytnZ2bGxsZycnLW1NT6fn56QwzBM\nqVROTk5WVFQEAgGXy1VfX5+pS++KxWKB8g0oio6Pj+M4vtMYLZlMxmKxrKysTO1NQ1Qq1cLC\nwvT0tFQqXV5elslkXC43g/PT0NDQ7BE6sKM5zjQ2NjIYDIPBgGFYc3OzSqXK1MwIgjAYjEQi\nAf+ZSCQOTw0ym83u6OjQarXz8/MSiaSjowPmkDICh8PZnlwqlba0tFAipDNnzmg0msXFRQ6H\n89prr+2sJwsGg2tra1D+I7O6yiaTqaysDNo2cDgck8lECex0Ot3CwgJBEBwO58yZMxnclxcI\nBOfOnVtYWLDZbDKZrLGxMVMz09DQ0OwLOrCjOc4wGIzGxsYX9C1bWlo6MzPj8/mi0ajNZrt0\n6dKLuMqzAeO5FzS5VCo9f/78k0ZZLNapU6eeNOrxeB49eiSVSjEMMxqNra2tGUxz4ji+3UfC\nYrEoO+9bW1sLCwtnz56VyWR6vX50dPT111/PYN4uJyfn2LTm0NDQHF3owI6G5hmpra3lcrk2\nmw3DsAsXLrxqrY7PhsFgyM/PP3v2LABAq9Xq9foMBnYqlUqn03G5XARB9Ho9JV23tbUlkUjg\n5WpqaoxGYzAYfBUaO2hoaF4p6MCOhuYZQRDkxbljHVfi8fh2j6RAIIDWq5mioqIikUjMz8/D\n5omampr0US6XGwqFEokEi8WCAq10GRwNDc3xgw7saI48TqfT5/MJBILH+ouHQiG73c5gMPLz\n89M1Y486yWQSatQplcqMi1ElEgmLxUIQRG5uLsWufi/4fD6n08nhcPLz8yl7nQqFwmQyyeVy\nBoNhNBphn0c6sCslHA5LpdL9ihsjCFJfX/+kdo38/Hyj0fjRRx/BCK+yspKi//ec4Dg+Pz8f\nDodVKhVU2KEBAKRSKYvFkkgkFAoFnR+loTkA6MCO5mgzNTW1uroKzTdzc3MpWpE2m21oaIjP\n5yeTyfn5+StXrhyPJE00Gu3u7gYAMJnM2dnZtra2xwa1z0Y4HO7u7kZRFMOwubm5c+fO7at0\nzGQyTU1NiUSiSCSi0+kuX76c7iJVVVUVDAb7+vpIklQqlbDRYRuSJPv7+91ut0AgmJubq6qq\nymBTLex3IUkS1t5lNsrHcfzOnTvJZBLDsM3NTbPZvNMO5BUkmUx2d3fD1qLZ2dmWlhY65KWh\nedHQgR3NESYYDK6srFy+fDk7OzsUCt27d8/lcqWroWo0mvLy8sbGRoIgenp6DAYDJZI4ouj1\neh6PBzsYFhYWtFrtYwM7uO34DJOLRKLz588jCDIzM6PVavce2JEkOTc3d/LkydLS0mQy+eDB\ng9XV1XTpZhRFz5w5c+rUKYIgdoZWNpvN4/HcuHGDy+Xa7faBgYGKiopM2RVsbm4GAoFbt25x\nOJzNzc3h4eHy8vJMhXezs7PJZPLGjRsCgWB6enp5efnZbv4xY2VlBQBw69Yt2CszNzdHB3Y0\nNC8aOrCjOcKEw2EGgwElM/h8PofDCYfD6YFdOByGm30oisLg76WtNaOEw+FUKvX+++8TBCEW\ni3c+LovFMj09DQXbTp06ta+UWzgczs7OhhLEcrl8Y2Nj7+cmEolkMgm3UJlM5mPXBgBgMBiP\nVWAJh8NZWVkwqyqXy0mSDIfDmQrswuGwQCCAqjRw8kgkkqnNwWAwyGKxoJ96cXHx8vKyz+fb\nudH8qhEOhyUSCUzZyuXy2dlZHMfTM7g0NDQZJ5MSnTQ0B4xYLCZJcnl5GTpZRaNRihKvVCpd\nWVlJJBLBYHBzczOzqmkvF7/ff+LEiY6ODhjdpg+Fw+GxsbGysrLOzs68vLzh4eFkMrn3mSUS\nicViCYVC8XjcZDLt7PZNJpM6nW58fHx5eZkgiPQhNpudlZW1vLyM47jb7XY6nfu65xKJJBAI\n2Gy2VCplNBoxDBMKhXs//elIpVKv1+twOODkTCYTxmEZQaFQJBIJo9GYSCSmp6cRBNlvgeCx\nRCqVOhwOr9eL4/jy8rJQKKSjOhqaF83e3mMJ69C7f3+nf8Zo3grmf+Gv32ke/p/TpT/xoyek\nyO7n0tC8MDgcTnNz8/T09PT0NIqiDQ0NlARMc3PzwMDA+++/DwBQKpUVFRUvaaXPSCqV2vbv\nosDlcqempgAAHA4nlUqlD21tbTGZTJIkdTqdWCxOpVIej2fvSbvq6mq323337l0AgEAgoNSK\npVKphw8fkiSZnZ29uLhot9vPnTuXfsDp06dHRkbgHlxRUVFBQcHeH69MJquqqhocHCRJkslk\nnj59OoNxgEKhqKio6O/vh5OfOXMmgyJ2tbW1m5ubs7Ozs7OzAID6+vrMOltEIhGj0RiLxRQK\nRXFx8WNfEoeQoqIih8PR1dUFAOByuYfQLp2G5vix+4cmbvqHn7jxE39jjP3LvxvPRYDso9/5\nwt9+5++/fecff77xVfS0pjk8FBcX5+fnBwIBPp+/c89OIBBcv37d7/djGJbB9MwBEIlExsbG\nXC4Xg8GorKysq6tLH+VwOLAMDsdxh8NhMpnSR5lMZjwe39jYUCgUKysrBEHsq9gLyvIFg0Ec\nx8ViMSWGsNvtsVjs9u3bGIYFg8FPPvkkGAym31u5XH7r1i2/38/hcJ7B876urq6srCwcDguF\nwox3MTc0NJSXl0ej0ReROurs7PR6vX6/X6lUPsmGBHZX7Dcsi0ajXV1dAoFAKBRqNBqPx/MU\nCehDBYIgZ8+era+vj8fjIpEogw4oNDQ0T2L3j7Y/+Ny//xuT7Op/+p2v/Ogl5x80/rgOAND2\na3/+Sws/853/+PZXT+m+eYbOrNO8SDwej8FgSCQSSqWyvLx8ZyKEyWQ+Zb8PRdEMOqUeGOPj\n4wCAy5cvRyKRiYkJoVCYnvoqLy/v7u6emJhgs9lWq7W5uXnnDDiOJ5NJivvC3nlSHByPx1ks\nFoyKeDwegiDxeJxyMIPBeB65Zg6H8+L82bhc7ovrjJZIJE96sXk8nvHx8UAgwGKxGhoaSkpK\n9j7txsYGm82+ePEigiBqtbq/v7+pqekI7WlmZWU9g2gODQ3Ns7H7ZsG3J1Ot/6Pn3jd/5vrJ\nUum/JEQENZ/79rv/4wJz+c//7GHq6afT0DwPfr+/p6cHACCVSg0Gw8zMzMte0UFAEMTW1lZd\nXV12drZarVapVA6HI/0AkUh07do1mUwGe2MpUQKO4xwOp7Kykslk1tXVoSi6rxq7p6NQKCKR\nyOLiotvtnp6eZrPZRzFuPmBIkhwaGpJIJJ2dnXV1dVNTU16vd++nJ5NJaKcBAODxeNuKLTQ0\nNDQ72T2wc4KTP/S58p3HFd66VQd8er39RSyLhgayvr6enZ3d2tpaX1/f0tKytrZGkuTLXtQL\nB2rIbfeTPrYzlM/nNzQ0nDhxYmfrpVwuTyaT0Wi0oKDA6/UymcwMxl58Pv/MmTMrKysPHz50\nu92vvfYavb+2K4FAIBqNNjU1icXisrIyiUTidDr3frpSqXQ6nUaj0el0Tk9PSySSF5fRpKGh\nOersJZnv9/sBUO/4b4IgAIjH45lfFA3ND0ilUtuFVhiGEQRBEEQGIwmj0ajX61OplFQqbWtr\nOzzbW5WVlVNTUxqNhiRJgiDOnDlDOWBhYWFlZSWVSikUitbW1vQdai6XW15ertPpDAYDgiAn\nTpzYb7GaRqOBdXs5OTk7mwwkEolCoQgGg9nZ2Tt3bBOJxODgoN/vZzAYdXV1O/ccZ2dn19bW\nAABKpfL06dOUyYPB4OLiYigUys7OrqmpoVQHxmKxoaGhQCCAYVh9ff1+RdE2NzdnZmYSiYRQ\nKDx79izFsSMSiYyMjPj9fhaL1djYqFZTP/UmJyctFgsAID8/f2eVm9lsnpubSyQSIpGotbU1\nvb4QxmEzMzPhcJjH4z02Uh8bG7PZbACAgoKCkydPpg/JZLLCwkLYlsFkMqF+YTqJRALmUPl8\nfk1NTWbLSYPB4PDwMFxzS0vLQWq4kCS5tLS0ubmJYVhZWVkGVbhpXgo4jut0OpfLxeFwqqqq\naH/tF8TuGTs1MPzVH37sof43YXzvgwUgaWraR8sbDc1+UalUVqt1cXFxY2NjZmYmNzc3g1Hd\n2tra7OwsTGg5nc6HDx9maubnJxqNMhgMKOpGEATlF5Rer19YWGCxWGKxeHNzE+5WbxMIBHQ6\nHYqiMHCBoczeL72wsKDX67lcrkAgMJvN/f396aOJRKKnpycWi6lUKpfLNTAwQMmhPnjwwO12\nS6VSFEUnJyetVmv66NzcnNFo5PF4cPLh4eH00Xg8/ujRo3g8npeX53A4BgcHKWvr6uryeDwS\niQRBkPHx8X3lvbxe79DQEEEQMpnM5/PBVs10uru7PR6PTCYjCGJkZMTtdqePTkxMmEwmPp/P\n5/NNJtPExET6qNvtHhkZgZN7PB7K5Gw2m8vlbmxspFIpm80Wj8cpVaEjIyPr6+sCgQCKxcB+\n522cTufa2hqPx1MoFDiODw0NpY+SJDk4OOhwOPLy8rZv4N5vy9MhCKKrqwvG2clksq+v7yDF\nIOfn5xcXF+VyOY/Hg4/xwC5N8yIYHx/f2NhQKpUIgvT29h4bYdHDxu75ia9eE/3MX77d4vjy\nb37pZtBHgqR3ebJr4L1v/e7/HAYnv/7lK4clw0FzLFEoFKdPn9bpdLB5orGxMYOTG41GDodz\n48YNAIBGo9Hr9QRBZFal4tkgSXJtbe3MmTMqlQoAMDAwsL6+nv7rdmVlJSsr6/r16wCAiYkJ\nmADbRqvVAgDeeOMNFovl9Xq7urr0en1DQ8Mer766uioQCK5duwYAGB0dhTmqbex2O0mS7e3t\nKIoWFxd/+OGHfr9fLBbD0UQiEYlEmpqaoLLM97//fb1en5eXt336+vq6WCzu7OwEAAwNDcEc\n1TY2m43BYLS3tyMIUlhY+NFHH6W33EYikWg0eurUKZgFfO+993Q63d4TSDB/efv2bRRF7XY7\n9C7bDrD8fn8sFmttbYWJunfffVev17e1tW2fbjabhUIhzLTBqLSlpWV7VK/XQxHsaDSqVCpt\nNtvOlTc0NITD4fz8/NXVVafTmZ5Xs9lsOTk5MBXX1dVlNpvTG2J0Oh2GYbdv3wYAmEymycnJ\nSCSynREMhUJbW1u3b9/m8XhVVVUff/yxzWbLlMHD5uYmjuPXrl0TiUQ4jn//+983Go2UhOKL\nY21trampCT4WHMfX1tb2JbVNc6iA9tbQKAgA0N3dbTabq6urX/a6jiG7h2U//Q8f2956+2t3\nv/HTd78BAADgD2+0/CEAgFf9E3///d+oeflfgjTHnMLCwsLCwhcxc3oYl3FljeeEJMnt3CSD\nwaDoAFNGKTkzeDA8AG4CUoTuUqnU4uKiw+FgsVhVVVWU2Ch9cgzDdk6Ooii8bwwGA0GQ9LXB\nv7d3tCmjcPLte74z+Qonh10CcDT9dPgo0p8pyuRPJ33lcJL02wKn2p5858oJgggEAjCwgAFo\n+mgikYAPTa1WLy0tAQDS+xvgVAUFBTAa29jY2Hlbtm/aY5/QbYUUuMKd9xyuB0EQFEX3dVue\nTvo9hyvM4OS7kl53wWAw6JaRI036CxUAkNkXKk06e8i3idt+u9vwQx//n79+v2dqyRbE2WJV\n5ZlrP/xTn7+gput3aY4yRUVFGo3m0aNHAoFgfX2dx+MdhnQdAABBEJVKNTMzU1VVFQ6HNzc3\nOzo60g9Qq9UGg6G/v5/D4ayvr1NkmWtqamw22wcffJCdnb21tQUAqKqqSj9gcnLS5XKVl5cH\ng8H+/v7Lly+nd1fk5eWtrKwMDAwwmUyz2UxpvMjJyZmZmRkbG1MqlWtra3w+fztdB36gVDI9\nPe3xeLxebyKRKCsrSz89Ly9vdXV1cHCQwWBYLBZKkY1SqZydnZ2YmFAoFCaTSSQSpTtPCAQC\nFos1Pj6+bWZAmfzplJWVWSyWe/fuQZ80BoORHtFC56vh4eGCggK3251KpUpLS9NPxzAskUhE\no1H4T0pgx+fzXS5XIBCAIoIAgHRRFT6fL5FIRkdHS0tLXS5XOBymlItlZ2dbrVa4mbu1tUUp\n7ysrKxsZGenq6pJIJBsbG0wmM706UCgUikSi4eHhkpISp9MZi8WUSuXeb8vTyc/Pn5ycfPDg\ngVqthsnadOffF41arZ6bm0smk/F4fG1t7ezZswd2aZqMw2azFQrFxMREeXm5z+fzeDwHlvp9\n1UBehR7D5+Sdd9754he/GAwGKaXWNMeA6enp1dVVkiT5fH5HR8czCOq+IJLJpEajsdvtLBar\nsrJyp3/D2NiY2WwmSVIsFp8/f57SZLC4uLi4uAhzVM3NzcXFxdtDBEG899577e3tMPnU398v\nEokoe9wjIyNWq5UkSYlEcv78eUpPidvt1mq1wWBQKpU2NjZS3hehUGhgYCAUCjEYjLKysp1b\nwMPDw3Dy7Ozsjo4OyuRbW1tarTYcDsPJKfpnwWBwYGAgHA5jGFZRUVFbW7uXm7nN7Ozs0tIS\nTI+1tbVR9vX8fv/AwEA0GsUwrLq6mhINd3d3J5PJcDgMAMjKymIymVeuXNkeNRgMS0tLUDiQ\nzWbHYrHXX389PbaLRCJzc3Nut5vH49XV1VGypARB9PX1bW1tIQiSk5NDcfsAACwsLBiNRhzH\ns7Ky2tvbKe0R4XB4bm7O4/FkZWXV19dn1s3M6XSOjo7G43Emk7kSMKolAAAgAElEQVRfBb7n\nJJVKabXazc1NJpNZVlZ2kJemeRHE4/G5uTmn08nlcmtqao50N0wikWCz2UNDQ4fQT2X3wK67\nu/tJ5zI4wmyZsrBMLTrWhXZ0YEdznICBXUdHB4wtBgYGBAJBU1PTy17XCycSidy/fz8nJ0cm\nk62urrJYrIsXL+79dJ1OZzQaoQXI/Px8ZWVleuQXDAYfPHhQWFgI7YkZDMalS5cy/xieCein\nbDabURQtKSnZl8kbDQ3NYznMgd3uEdnVq1d3mUJScfknfu+P/9vnyuidWRqaQw+KoiqVanJy\nsrKyMhgM2u32mpqal72og8BqtXI4HPgpnJeXd/fu3XA4vHdHhKqqqlQqpdfrAQClpaWVlZXp\no9BUd3Fx0el0yuXy+vr6jK//mTEYDDqdrqKiAsfx8fFxaF/xshdFQ0Pzotg9sPvfv3Xtv/z3\n++HSzh/+7JUTpXJOwm9bGv/kn94bsggu/OJXbmR7DEPv/78//OF2CzL3/z57cAJHNDQ0z8qp\nU6fm5+eXlpZYLFZbW9tTDNmOEyRJbrcgwD/2VYiCIEhdXR3FtDcdhUJxkBpve2dtba2urg7W\nxhEEsb6+Tgd2NDTHmN0Du5n/+yB6/g8n7v9yVVoNz2993fC9z3b8/Pum/7Lwp7/21d/7ud9u\nPfP13/neVz/7O/ureKE5MrhcLrPZzGAwioqKKKX6NEcOJpN54sSJl72KgyYvL0+r1Y6Pj8tk\nMpPJJJVKX5HiivROZBRF6bpqGprjze6B3Z9t5P7CP/ybqA4AALiVX/rWL79T/tXv3vnW5R/J\nav65nzzz9f84OOgGta/ET/9XDbPZPDo6mpubm0qlurq6Ll68eGxyPG63e2lpKZFI5ObmlpWV\nbWd0jjrRaFSn0wWDQbFYXF1dTWmt2BWHwwFtLfLz89MbLzKCzWZbXV0lCEKtVr8gIZvHkpWV\n1dLSMjs7a7FY+Hz+IayMeUGo1WqNRrO0tIQgSDAY3OmZ8ULxeDxGoxHqUJaVlR1k43k8Htfp\ndH6/XygUVldX0z5sNK8Iu7/HEiBdXjSNwuJiJLm2ZgUAAIVCAcC+bK1pjhAGg6G6uvrcuXPn\nz5/Pz883Go0ve0WZwev19vT0wMbShYWFubm5l72izIDjeE9Pj9frzc7Ohkq8+0rSOByO/v5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2my2ZTO535UVFRVeuXLl+/Xp9fT1lpxVqEc/MzG3l0ggAACAASURBVAAAoFpberoO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\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XqLi4tLS0tRVIe8I1Bgl7t+NqoDcvnO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\njSpu7p7T1964/n9JYuo6ePnJLPXjA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- "text/plain": [ - "plot without title" - ] - }, - "metadata": { - "image/png": { - "height": 420, - "width": 420 - }, - "text/plain": { - "height": 420, - "width": 420 - } - }, - "output_type": "display_data" - } - ], - "source": [ - "small.nn <- keras_model_sequential()\n", - "small.nn %>%\n", - " layer_dense(units=5,activation='relu',input_shape=c(1)) %>%\n", - " layer_dense(units=1,activation='linear')\n", - "summary(small.nn)\n", - "small.nn %>% compile(\n", - " loss = 'mse',\n", - " optimizer = 'adam'\n", - ")\n", - "history <- small.nn %>% fit(\n", - " Wage$age,\n", - " Wage$wage,\n", - " batch_size=length(Wage$age),\n", - " epochs = 20,\n", - " steps_per_epoch = 1000,\n", - " validation_split = 0\n", - ")\n", - "final.rse(history)\n", - "plot.baseline()\n", - "plot.nn.pred(small.nn, col = \"purple\")" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "You may get slightly different results for every initial conditions, but typically we find that this smaller model is not better than linear regression.\n", - "Looking at the weights of the network is instructive here.\n", - "The first row below are the weights of the hidden layer.\n", - "The second row are the biases of the hidden neurons.\n" - ] - }, - { - "cell_type": "code", - "execution_count": 28, - "metadata": {}, - "outputs": [ - { - "data": { - "text/html": [ - "
    \n", - "\t
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    A matrix: 1 × 5 of type dbl
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    A matrix: 5 × 1 of type dbl
    -0.24498558
    -0.06416893
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\n" - ], - "text/latex": [ - "\\begin{enumerate}\n", - "\\item A matrix: 1 × 5 of type dbl\n", - "\\begin{tabular}{lllll}\n", - "\t -0.132653 & -0.41101 & 0.8517736 & 1.042596 & -0.9513404\\\\\n", - "\\end{tabular}\n", - "\n", - "\\item \\begin{enumerate*}\n", - "\\item 0\n", - "\\item 0\n", - "\\item -8.46530628204346\n", - "\\item 10.1720914840698\n", - "\\item 0\n", - "\\end{enumerate*}\n", - "\n", - "\\item A matrix: 5 × 1 of type dbl\n", - "\\begin{tabular}{l}\n", - "\t -0.24498558\\\\\n", - "\t -0.06416893\\\\\n", - "\t -4.00976515\\\\\n", - "\t 3.95425367\\\\\n", - "\t 0.96430755\\\\\n", - "\\end{tabular}\n", - "\n", - "\\item 7.53780794143677\n", - "\\end{enumerate}\n" - ], - "text/markdown": [ - "1. \n", - "A matrix: 1 × 5 of type dbl\n", - "\n", - "| -0.132653 | -0.41101 | 0.8517736 | 1.042596 | -0.9513404 |\n", - "\n", - "\n", - "2. 1. 0\n", - "2. 0\n", - "3. -8.46530628204346\n", - "4. 10.1720914840698\n", - "5. 0\n", - "\n", - "\n", - "\n", - "3. \n", - "A matrix: 5 × 1 of type dbl\n", - "\n", - "| -0.24498558 |\n", - "| -0.06416893 |\n", - "| -4.00976515 |\n", - "| 3.95425367 |\n", - "| 0.96430755 |\n", - "\n", - "\n", - "4. 7.53780794143677\n", - "\n", - "\n" - ], - "text/plain": [ - "[[1]]\n", - " [,1] [,2] [,3] [,4] [,5]\n", - "[1,] -0.132653 -0.41101 0.8517736 1.042596 -0.9513404\n", - "\n", - "[[2]]\n", - "[1] 0.000000 0.000000 -8.465306 10.172091 0.000000\n", - "\n", - "[[3]]\n", - " [,1]\n", - "[1,] -0.24498558\n", - "[2,] -0.06416893\n", - "[3,] -4.00976515\n", - "[4,] 3.95425367\n", - "[5,] 0.96430755\n", - "\n", - "[[4]]\n", - "[1] 7.537808\n" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "w = get_weights(small.nn)\n", - "w" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Looking at $-w_0/w_1$ for all neurons" - ] - }, - { - "cell_type": "code", - "execution_count": 29, - "metadata": {}, - "outputs": [ - { - "data": { - "text/html": [ - "
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inital weights, we can get a very good fit.\n" - ] - }, - { - "cell_type": "code", - "execution_count": 39, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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CpPnz7tdDpFIlHYlxdOSko6c+bM2zWelJR08uTJ2dlZLpebmZkZlHeTk5PHxsYm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2my2ZTO535UVFRVeuXLl+/Xp9fT1lpxVqEc/MzG3l0ggAACAASURBVAAAoFpberoO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\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LzFYikpKcl08A2uPBgMQmuHvWnR6upq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\nrth/mZSUlFatWkkkEl0X8m+SnZ2tU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- "text/plain": [ - "plot without title" - ] - }, - "metadata": { - "image/png": { - "height": 420, - "width": 420 - }, - "text/plain": { - "height": 420, - "width": 420 - } - }, - "output_type": "display_data" - } - ], - "source": [ - "set_weights(small.nn, list(array(c(3.2, 1, 2.2, 1.5, 0.1), dim = c(1, 5)),\n", - " array(c(0, -30, -88, -90, -7)),\n", - " array(c(1, -1., -1, -1, -1), dim = c(5, 1)),\n", - " array(c(0))))\n", - "plot.baseline()\n", - "plot.nn.pred(small.nn, col = \"orange\")" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "From this excellent initial condition we can perform gradient descent and find an even better fit." - ] - }, - { - "cell_type": "code", - "execution_count": 41, - "metadata": {}, - "outputs": [ - { - "data": { - "text/html": [ - "39.8374007916745" - ], - "text/latex": [ - "39.8374007916745" - ], - "text/markdown": [ - "39.8374007916745" - ], - "text/plain": [ - "[1] 39.8374" - ] - }, - "metadata": {}, - "output_type": 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CpPnz7tdDpFIlHYlxdOSko6c+bM2zWelJR08uTJ2dlZLpebmZkZlHeTk5PHxsYm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2my2ZTO535UVFRVeuXLl+/Xp9fT1lpxVqEc/MzG3l0ggAACAASURBVAAAoFpberoO\nwzAej7exsUGSZCQScblcFMWQrKwsn88XCoVwHDebzZRKtacDayihG5jZbCYIglLvxePx3G53\nJBJJJBKbm5uUEjoo1DI1NQUA6O/vBwCky3bAGkoofQcLzigrF4lE0MYtlUptbm7ufFwAANhs\nC4O89LJ9uMOo1WoBAFarNZlMUko2RSLR5uYmjuM4jlssln09X3w+n8FgwHeBz+fz+/2U0+Hk\nqVQKx/HNzc2do263OxQKAQDW19dZLNbec2bwdIvFkkqlksmk1Wrd18rhRj+MxgiCSKVS+2qt\ngHuR8G/YYb2vajORSARfRfF43G63H55399NBUVQgEMC3WDQadTgcR2XlNMeDvTZP4P7V6SFY\nZTcwNGFwxUnAllefbn/7N777ezeoXpDHDLp54jlZXl6enZ2FxqPl5eVPKQZ6BgwGg0ajwTAs\nmUzuLId/iczPzxsMBoIg4FdjVlbWjRs30g/QaDR6vR6KCdfU1MAEW6b48MMPYVIKACASidJ3\ngQEAdrt9ZGQEfmErFIr29nZKMdm9e/dgAIQgyNmzZylbvT6fb35+PhgMSqXS+vp6Si3/0NDQ\ndoIQRdFPf/rTlAK++/fvb0/e1tZGMdd69913t/VQ+Hz+zZs300fn5uYMBgP8m8vl3rp1K33l\n0Wi0p6cnEokgCMJmsy9cuJD+njUYDHNzc+mzXbt2Lf0bd3p6enl5Gf7N4/Fu3ryZPnkkEunp\n6YGpMi6Xe/HixX2JWq+trU1OTsJ3QVFREaXSNBQK9fb2xuNxkiR5PN7FixfTQzeSJIeHh61W\nK7yTp0+fpniqkiS5uroKmyfKysoosXggEOjr60skEiRJ8vn8ixcv7l0HmCRJqGynVqudTmcw\nGLx27dreC91g9UV+fj6fz4fb6HtXcwQAeDyegYEBHMdJkhSJRBcuXNjXz4yXiNPpHBoagr58\nMpmso6PjIHuNaQ6Aw9w8se+uWJD0Lg1/+Off/v3vfbAYIOmuWJo9EYlEfD4fn8/f2a/3/ITD\nYb/fLxAIDo9mLABgZGSEzWar1WocxwmCGBkZeeutt9LTFfF4XKvVer1eGB5lvCp8eXnZ5XLl\n5+dTwrLtq7vdbjab/dg+ZYIglpeXU6lUcXExh/Nv5Cpjsdi9e/fYbDYU6sMwrLOzMz0AGhoa\n8nq9bDYbQRCfz3f58mVK6gvHcZPJ9NjJIVqt1uVyFRUV7VTZJQhifn5+c3OTy+U2NzfvfMYX\nFxdhcFZYWEiJ8tfX1+fm5vLz830+n1wu1+l0UNQ3/Riv17u5uSkQCB5rbJVKpeCOrUwm2/k9\nHQ6HDQZDJBKRy+VlZWU7D4hGo16vl8fjPVZUeXtyuVz+2PZPj8cDN7J33rSRkRGn06lUKj0e\nDwDg6tWrlFJ9HMe3trZQFJXJZPvtLU0kEouLi7CrvaamBiY+947b7YaKPEqlkiK4uBeSyaTb\n7WYwGDKZ7Gj1liYSCbfbzWQy99tuQnMkOMyB3Z5K5ZI+08zw0ODQ4NDg0NDEoiNKAsAQlbR+\nurPz7Tfprlia3eHxeC/O2zsrK2u/XzYHgEAgsFgs9fX1TCZzZmZGIBCkfy2lUiloda9QKOx2\ne19f3+XLlzOr5lBWVvYUhTA2m/0UH3oURZ+k4ga3KaF2mtVqDQQCPp9vu2EFx3Gr1Xrx4kX4\nZdbb22uxWCiBHYZhT5eIq6+vf9LQ5OSk3W4vKCjw+XwPHz7s7OxMf13BJGhWVhaKogaDIZlM\npueH8vPzdTodNKtYWloqKyvbmbiSSCRPEc1hMBjplrvpxGKx7u5uqLljNBo9Hs/O1goul/uU\nLdSnTA55UldQJBIxm83QkAPH8Y8//thms1GieQzD0l009gWTyYSXFggEjw3En052dvbzfPMx\nmcxnXvnLhcVi7UtQkIYmU+we2F2szxtfsEVIAABgCItPX/vZL3Z2dl67fKZEdMCZ5fDa4Ed3\nuodndCaLKxCJExiHL1GqS6tPtl66eaO1gHeUfszRHHsqKystFsudO3cYDEYqlUpvzwQAbG1t\nhUKhN954g8lkJhKJDz/80OPxHOQv+3A4DEW2YM3+3k+E/QoXLlzAMKyoqOjBgweRSORJMQe0\neaD8J47jNpuNIAilUrkvb1Acx9fX12ErMUmSDx48MJvN6Z73JpNJLBZ3dnYCAB49erSxsZEe\n2DEYjCtXrqyurobD4aKiIspu5nNisVhYLNaFCxcQBFGr1Q8fPmxubj4YbY54PA4AgPsJGIZB\nRZUMzj8+Pm61WuVyudlsXltbu3jx4tHSk6OhedXYPbDr1YWKT79xtbOzs7Pz8tly8Utphw3N\n/8WXf+wrfznjJx47/NuIsO5HfvuP//Ar53PoDxyawwGTyezs7LTb7TiOKxQKSqoDx3EGgwH3\ny5hMJiy9OrC1mc3msbExLpcbj8f5fP6lS5f2LrIFA4jR0dGcnBzYDZD+0DAMU6lU4+PjZWVl\ngUDA7XZTSiojkcjDhw9h6eH09PT58+f3Lk8DDcEwDNva2uJyuWw2m9JUS5Lk9mK4XK7X66XM\ngGFYurBLBkkmkywWC0axcA04jmc2sAuHw9FoVCwWU54s2MI8MzNTVlYGy+AyJScEAAiFQuvr\n6zAdGI/HP/74Y7vd/pRcLw0NzUtn909zo8tTLnm54iaWv/6Riz/1kVtcc+OnXr/U8dqJkhyp\nRCLkgGQs7LVbTIvjD9/967//u1+9OrV6Z+RPrh0u8wGaVxgURZ/0FQiTc1NTUyqVymw2MxiM\nF+HJ8SRmZmZqa2urq6sTiURXV9fKykp63uvpqFQqjUYDjecBAFwul7J32dLSsri4uLa2xuFw\nOjo6KPVkUJS4o6MDQZDx8XGNRnPhwoU9XprNZgsEgu7u7u3KYMqmrUwms9lssEfBYrEc5C1V\nKpULCwsLCwtSqdRoNIrF4szWHkxMTKyurgIAWCzW2bNn03cnURRta2uDB0BDjgz2YMZiMQRB\nYGksm83mcrnbTTk0NDSHk90jtpcd1QFy7Dtf/Wir8MfeH/urN3N2bLfWnmi9/Prnf/E//9I3\nbnb8xne//J0v6r72xPocGprDApvNbmtrGx8fX1tb4/F4586dO7B2PxzHY7EYjAxYLFZ2djbU\n0dgjPB6vra1tZmYmEolIJJLm5mZKlwCTyXxKb3IoFNr2hlIqlRqNZl+LTyQSPB4vFotBx45I\nJJIevbW1tfX09KyursImyqdYd2QciURy5syZ+fl5vV4vl8szW09tNpstFsuVK1fEYrFWqx0f\nH6cYcmRnZ1+/fh3H8YzbG4hEIgzDtFptaWmp3W4PhUJ0KwANzSHnCOgMW0dHN0DFV3/lMVHd\nv5LV+Gu/92PfuvDH/QNOUJ9Jz3Ka4836+rper08mk9Dv6CDFFObn56F2RjgcXlxcbG9vz+Dk\nHo8H5tUkEkljY2N6MzKGYXw+f3V1VSQSRSIRp9O5U2nlwYMHUJ6XzWZ3dnZSSv5dLheMBX0+\nn9frfWyP55MQi8U6nW5+fh4AgKLozk1Dl8ul1WpDoVB2dnZTU1N6W0wkEonH4yiKEgQBIzyv\n15veJYCi6OXLl/e+mH0BbRugArNcLqdoxAAA1Gr1YxuQ9wJJkgsLC+vr6wiCFBcXV1VVpdcm\ner1emUwG96xLS0th7216RjAcDs/Ozrrdbj6fX19fn8GtWCaT2draOj4+bjAYMAxrbm6mNLZD\n3+HNzU0URcvKyva70x0IBObm5rxer1AobGhoOCS2MTQ0R5ojUJJGkiQAu8uVozweBwB6m4Am\nHZIkTSbT4ODgyMiIy+WijDocjomJCbVaXVdX53K5JicnD2xhdrvd5XLl5OScPn1aoVDYbDYY\nMWSEeDze39/P5XKbmpoQBOnv76e8f1paWjY2Nt577727d+9KpVKKqkhPT4/P5xMKhdnZ2dBz\nLH3U4/Ho9fr29va33367sbFxamoqkUjsfW1ut3t7MQRBUNwdwuHwwMCAUChsampKJpMDAwPp\nekywdi2RSJSUlPD5/GAwmNkugaczNDTkcrlUKpVKpXI4HENDQxmcXKfTraysVFVVlZeX6/X6\nbTk9CJ/P9/l88D47nU4MwygqdwMDA8lksqmpSSgUDgwMRCKRfV3d5/ONj48PDAxA5UXKqFKp\nfP31119//fVPfepTOwVotFqtxWKprq4uKSnRaDSw7HKPpFKp/v5+BEGampq4XG5/f/9BPqE0\nNMeVI5CxUzU354A/+ov/9jf/4e+/oH7SelOWv/39/7sBct5oVj3hCJpXEZ1OZzAYiouL4/F4\nb28vbKjcHrVYLCqVCrpIcTicoaGhx3Zxvgig5wR0Nc3Pz3/33XcdDkemasKcTieCIKdPn0YQ\nRKVSff/73/d4POkPXC6X37p1C6rN7azH8ng8bDb7+vXrAICenh5KQAz1zOBObmlp6czMjN/v\n33uKyOfzcbnctrY2giBmZ2eh7to2DoeDy+XCVtacnJwPPvggEAhsrxC6kxEEAV1GEASBhnUH\ng8vlys3NhSImOI7v/J0A3Waj0ahMJntsbeXm5ubW1lZWVlZRURFlz9RisdTU1JSWlgIAEomE\nxWJJT30VFhaaTKaPP/6Yy+UGg8GTJ0+mv0oDgUAgEICywwUFBU6n026374zAnkQoFHr06JFC\noRCJRAaDIRAItLS0UI5BEORJQi0Wi6Wurg66CUciEYvF8lgJwMcClfny8/O9Xq9cLrfb7U6n\n85mznjQ0NJAjENgh7b/632/+zU+9++/qF9/9yZ9860prY2VRnkzAYyLxUCDgsehnxnrf//M/\n/ac5j/jyd3/5PK3uTfOvmEymxsZG+CVHEMTq6mp6CJLeiwr9jjJ7dYIgnE5nMpmUy+WUrli4\nn7W8vFxQUACL4jMo3Qw3KwmCgEorJEnu1KeA5puPPR1BkO2k2s5eXT6fH4lEgsGgQCBwOBzQ\nzGBfy0ulUrFYjCCIZDJJuecoisIFIwgCL52+cljMV11dzeFwOBzO2NjYM2ydb21tQX2WZ9Ab\n374biUSCsnIcx7u6ulKplEgkgiJ5lELD6enp1dVVhUJhNptXVlauXLmSXptIeSlSni8Gg3Hp\n0iWr1RqLxeRyOSUWhwfjOM5ms0mShB3He39Q6+vrIpEIyvHk5OQMDAycPHly7zYJT1/5rucS\nBDEzMyOTyVZXV5PJJC2kQkPz/ByBwA6A/J/850HkF3/81//qg2/9ygffeuwhCL/283/8f//k\nS3v9lUrzapAuOcFisSibhoWFhY8ePRobG8vKylpZWSkuLs5gbJdMJh89ehQKhTAMIwiira0t\nPZBSq9Vzc3MzMzMzMzMwHZJBLVOFQsFisfr7+3NycqDx6FNEd3eSl5e3sbHx/vvvMxiMaDRK\nCYBycnJyc3MfPHiQlZUVDAZramr25Vv6/7P3prFxpGmaWERG3vdFMpP3fYiieEiUqPuirpKq\nqru2MTszWAPeGQzQPnbH8GJtY8aeGax7FzZ2gfV61+OZHWOwMGzA6O7qktQq3QdJ8b7PZCbz\nzmSezPu+IsI/3qmc6C8pilmlqpKq8/khiIyMLz5+EZHxxHs8T01NjcfjgeAo9pV4ShFarXZ9\nfX1iYqKqqsrhcFRVVTG9JUDment7W61Wx+NxkiQP38yLYRhN0zMzM263m8fjZTKZoaEhiJAx\nAQ4NUqm0tKe1oaHBarV+8cUXGIbl83kkJOZwOAqFwq1bt9hstsfjmZyc7O3tLYblcrmcyWS6\ndOlSdXV1Pp9/+PAhEtlqaWlZXV0FSzGz2YwYjmEYxmKx3iS8JxaLq6qqXr9+3djYuLe3R1FU\nWdcSSZJFfszhcIqvBIfcvaWlZWNjIxqNFgoFh8NRVqko0DiBQKBSqcCn4cPylqiggvcTHwSx\nwzB+zz/+m/l/+D9O3r//7PX0os7hD4UjyTyLL1Zqmjv7Tly4+Q9+cr1bVvlKqAABaHOAibjN\nZkNyTEql8uLFizs7O4FAoKur62A7hHJhMBhomv7kk0/YbDYQOKZhK0EQ169f39jYANuGo0eP\nvkMrSQ6Hc/nyZZ1O5/V61Wp1T09PWYGQkZERmqbB8F6pVF6+fBn5wJkzZ3w+XyKRUCgU5Va7\nF/XncBxns9mIZQiPx7t8+fL29rbX69VqtT09Pcjuo6Oj09PTkUiEw+GcOnXqTUHHfeF2u71e\n740bNyQSidVqXVpaampqYqZEjUbj6uoqME61Wn3lyhXm7lVVVTabrehyizSHZjIZsVgMo8nl\ncpqm4TewFbpkoMuEw+GIRCKkGritrY0gCIfDgWHYqVOnStORNE37/f5MJqNWq5FFA8tdWDSx\nWDw0NFSW7HNtba3BYNDpdFKpVK/X19TUlBUHbWxsNJvNZrMZwzCVSlVW30Yul2OxWDU1NV6v\nF1p5EGHCCiqo4GvgAyF2GIZhmLDp3O/+k3O/+0++73lU8OFgcHBwdXV1ZWWFzWb39fU1NqIO\neFVVVV+7hTCXy62srLjdbg6H09nZifDCeDzO5XKfPHmSz+cVCkU8HkcK+AQCQWlg5vDQ6/VG\no7FQKNTX1w8MDCAPY6FQWJbbOoJSOywENTU1B/tfvQnxeLyjowPqGu12e6nciUQiOWBZ+Hw+\nwrfKOrRAIJiamoJULEVRiUSi2NILNX9SqXRkZMTpdOp0Or1e393dXdzdarUqlUpoBxaJRFar\nFQrLAGq1WqfTORwOpVK5vb0tEAiY9AvMuDY2Nrq7uwOBQCQSQXSbMQxrbm5mDsgERVETExOB\nQABEXoaHh5E6Ni6Xe4DEzMFQq9WnTp3a2trKZrM1NTWlEzsYq6urYrH48uXLuVxuenraYDDA\nyS3CYrFsb2/ncrmampqhoSFmTYJCoWCxWMDR3W63zWb7LqUHv1Vks9mVlRWPx8Plcru6ug4w\n96uggneOD4nY/QbIwNz/8+//5t60MUCK63rOfPSP/vB3T2u+O6mKCj4MsNnsEydOfBOKcwCW\nl5cjkcjw8HAmk1lbWxMIBEigJRAIHDt2TCQSLS0tsdnsctNMJElGIhEul1tqdW+323U6XX9/\nP4/H29jYWF1dLS14fz8hk8ncbndHRwdoCJcllfINweFw4vF4c3Nzf3//6uoq9puJ4EAgQNP0\nyZMnZTIZ1Mn5fD4msUskEvl8/vjx4xiGLS8vI90P1dXVvb298/PzFEWJRKIzZ84wTzeLxRoe\nHp6dnTWbzTiOd3d3l8Vg7HZ7NBq9ffu2QCDY2dlZXl5ubGx8h1nLxsbG0neeQyIQCBw/fhz8\nmhsbGwOBAHOrz+dbXl7u6+sTi8Xb29vz8/NMcUEQW15YWNDpdBwO58SJE1+j8PH9xOLiYjKZ\nPHnyJCjRCIXCil1HBd8ZPgRiN/XP6i/+O/Wfra3+2VdqW/ntv/zk6n/92POVEMKrh//fX/6v\n//qP/tODv/qssVJ7W8F3BLfbffr0aahnCofDbrebSexwHIcgDYvFwnGcKdtxGIRCoampKUjh\n1dbWnjlzhplOdbvdzc3NxRKxxcXFD4XY9fb2vnr16t69eziOc7ncixcvvtvxE4mE0+mkabq+\nvr5UcY3L5dpstt3dXcioptPpImmGDzudToVCATlBpMwOTiLkCks1QTAM6+np6ezszGazAoGg\nlHUZjUYej9fS0hKLxSwWS0dHB9JPcwDi8bhSqYRaxrq6utXV1XQ6/W6dLb42hEJhKBSqr6+n\naTocDiOzcrvdtbW1UArJ4/FevXpFkiSz6qC2tvaTTz5Jp9N8Pv8H0zlBUZTH47lw4QKUCoRC\nIViH73teFfy24EMgdjRZIMkCVXwuUqs/+4f/9LGH3/mT/+lf/PTaUQ3lWX38H//Vv/nF3/zu\nj5vWF/+0u1JqV8F3AoIgirJb8DhnbuVwOAqForu7u1AogARxWYMvLi5C6iqVSo2NjVksFmY2\nBzn0O/cb+PbA4/FGR0ctFgtJki0tLYcnN4B0Or26urq3t8fn83t7e+vqfkPeKBQKvXr1SiqV\nslgsnU5XfLICIGgKPTQSiSQejzPXjc/nq9VqvV5vNpuhuxNJbopEIqFQaDAYsK9yiKXTIwhi\nX76VSqW8Xu/NmzelUilN0w8fPnS5XEjrBkmSe3t7OI5XVVUhg8tkMovFAp3INpuNy+WW1bDy\nraK3t3dqasrlcpEkmc/nh4aGmFvZbDbzQmWxWKXrhuP4e0JS3xVYLBZyh5Z7nVdQwTfBB/M8\n+HvQk//xrzZI5Y//0+QvfgeKo3p7T47++Op/e/zcv/0PfzX1p//bue95ghV8WKAo6uv5tbe3\nt6+srIAWl9frRWq/WlpaXr58SRAEn8+32+1ldWZQFBWNRoeGhthstlQq1Wq1iN5ba2vr2NjY\nzMwMj8ez2WxIVdN3AJqmc7lcWUX6gGw2+/Lly2QyieO4yWS6ePFiWTovMzMzNE0PDg5GIpGZ\nmZmrV68yG363t7fr6upGRkYwDFtaWtLpdExiJxKJstmsSCTSarW7u7twapiDX7lyRa/Xe71e\nkUjU39+PXBJtbW3z8/NQ3Ga320+dOnX4aYN8DNRBQtcIEvNLJBJjY2PQFSsUCi9fvsykbo2N\njbu7u48ePSIIAsfxU6dOvT/do0KhkMvlQumhRCJBFq25uXlnZ2dyclIkEtnt9tbW1vdn5t8q\n2tralpaWQFsnEAgMDAx83zOq4LcIHyCxC+p0fkz2B3/0O79R8i48+0e/f+Tf/tnyshs7V0bE\ne29v74//+I9LxbqYsFgs2N8ZYFTwQ8Pa2prRaKQoSqVSjYyMIP2GBwOUPjweD5vNvnLlCtIf\nqlQqr1y5YjQa0+n0wMDAm+ri9wWLxRIIBH6/X61WFwqFYDCIlECp1epLly6ZzeZ0Oj00NFTW\n4N8cNpttdXUVTL3AOePw+25tbXG5XFBxm5mZWVtbO7xARjabDQQCN27ckMlkDQ0NgUDA7XYz\niV06nS5mwxUKBahAFxGJRORyuVqtTiaTXV1dOp0uHo8jtLK7u5tZV8dEY2Mjm80GZ4UzZ86U\nlVkTi8VyuXxubq6trS0QCCQSCUSRZGVlhSRJkiRBwG9jY4PZQQJ9r+FwOJPJKJXKr8Gnvz2s\nrq5WV1efOnWqUCiMjY1tb28zI50SieTq1atGozGZTB49erRUX+aHir6+PpFI5PV6ORzOlStX\nSmXAK6jg28MHSOz4fD6GqUqNqCUSSfmWYjwer7W19WBiF4vFMAz7LXnR3Bc0Tev1eqfTyWKx\nWltbDy9q/07g8Xj0en02m9VoNL29vWVpMVAUpdPpXC4Xm81ub29HegntdrvZbBaLxRRFZTKZ\n+fl5RNrD7/fPzc1ls1kul3vixAnkWY7j+MGrsbW15fV6MQwLBoMajQZJn8VisY2NDXBWOHbs\nGFI23t3dvby8vLGxAQGe0q46u93udrvBNbW+vh7Jxq6vr+v1epjk4OAgsrvf75+YmKAoCsdx\nmUx2/fp1ZPCxsTFwVhCJRKOjo8wwTDweX1hYgNBRPp+fmpr6+OOPmUeHfChwlOrqaqSKLhqN\n8vn88fFxiqIkEgkSiYRF0+v1IK52+vRpsLgAQLXikydPij8i9KiqqspgMIDgc6FQQPp2uVxu\nMpmMxWLgXQG/YX4gHo9PTk4mk0k2m93b21tqe2q1WuGEUhRVSuyMRuPW1lahUBCJROfOnWO2\nvEDDxPz8PHDNhoYG5HRD64ZEIqFpOp1Ow1GY2NnZ2draIklSLBafO3cO2d1kMq2srEDbdW1t\n7dmzZ5lb33r/er3e7e1t6Io9evQocosFg8GZmZlMJsPlcgcHB5EOoWg0imHY559/jmGYUCiE\nH5lIp9OJRCKbzSYSiUKhgAyeTCbX19fBwu7o0aMIAcrlck+fPk2lUpChvnTpEjK4y+UyGAy5\nXE6r1TKFA78DHHz/4jje1tb2tYlsNBrd2NiIx+NyuRwasN7FlN8NLBaLxWKhKKqhoQExNa7g\nPcEHWKwqvnDpOMv2+rXzN38dGR9fxzhtbeX1dkml0p/97Gf/y4H48Y9//A6n/yFCp9Pt7Ow0\nNTVptdqVlZWy7CC/IYLB4OTkpEKhaG9vd7vdS0tLZe2+vr5utVpbWlqqq6sXFhbcbjdzK4jK\narXajo4OqHBiJsgymQywHygMB5mMwx96fn7e4/Hw+XyZTJbJZB4/fszcms/ngdx0dnYWCoXx\n8XHk7QJ0QCDPVSgUtra2mFs3NzfNZrNUKtVoNIFA4NWrV8ytfr8fWB2ULi0vL0OmrIixsTGK\nooDWRCKRiYkJ5tbXr1/7/X6BQCCVShOJBDJzh8NB0zSHw2loaIBmAsTl9sWLFyRJwiPW5/Mh\npwzHcbfbXVNT09jY6Ha7kYorr9e7tbWF47hSqSwUCq9fv2a63HI4nGLgHMdxiqJcLhdzd0i2\ngsVWJpMp7X7I5/MURfF4POCdSCr2+fPnqVSqvr6ex+OtrKwgAb/p6Wm3261Wq6uqqtxu9/T0\nNDLzlZUVHo9XX1+fSqWeP3+O/Sbm5uaKnhBOp9Pp/I0vMAjXNTc3NzY2UhSFePu6XK7V1VWB\nQFBXV5dMJpHB8/k8sDqI5LlcLsRq9uD7NxwOT05OymSy9vZ2r9c7Pz/P3FooFF69epXP5+vr\n63Ecn52dRahbLpfLZrNSqZTP5wNvZm49+P4lSXJ8fDybzXZ2dtI0PT4+jkiIP378OJVKyWQy\nPp/v9/tnZmaYW/f29qanp1UqVVtb2+7u7vLyMvZd4a337zdBLpcbHx/HMAx6cUq9nr9H2O32\nlZUVrVbb1NS0s7NTbulwBd8NPpiI3da/OK74v1ra2tva29o1tW3Yr//FP/rXV5788wE+hmFk\n3PTi3/+X/+xuWvV7v3ftg/mLPiA4HI7e3l6I+uTzeYfDcXg7yG8Ip9Op0WigQkUqlQLTOnz3\nnMPhGBgYgDxmJpNxOBzMQAsEISBzlEgkjEYj8+0T1Ghv3boF1OqLL76wWq29vb2lR9kXECYc\nHh7O5/PFSE8RgUCgUCicPXuWxWI1NzffvXs3GAwWrz26kgAAIABJREFUI0wkSRYKhcbGRigX\n++Uvf2m325kCYzabTSwWX716FcOwpaUlqBYoAkjhZ599xmazo9HokydPNjc3YSgMw4CeFgV4\nf/7znyMMxufzcbncO3fuYPt5xQKNu3btGp/P93g8r1+/jkQixZlHo1FwMKutrY3FYpFIxG63\ng0RIEWw222g07tssDPz1s88+wzDM7/ePjY1ZrdZiuBH+TODKfD7f4XAgAT9wo+/o6KBp2m63\nw3Vb3Go0GjEMO3LkSCqVYrFYFovF6XQW40/hcDifz584cYLNZre1tb1+/XpnZ4eZZfZ6vTU1\nNaDWMTY2hpxQk8nEZrNv3bqFYZjb7Z6cnAyHw8U0sd1up2kaqBWGYbOzs5ubm0gPNYZhQMex\nkvyAyWTicDjg3mu32+fm5hKJRDFEtL6+TtP08PBwS0sLnNDNzU1mjNbhcHR1dYlEIojYIffv\n7u6uWq2Gpge5XP7q1atCoVAMfblcLoqibt68CYHtzz//3GQyMU8onO50Og0B4GLHAODg+zcc\nDieTyZGREbAwgTcKpsFGJpPRaDSw5l988QXyYuZ0Ouvq6uD+FYvF09PTw8PD300A6eD79xvC\n7/fTNH327Fkcx5uamr744otwOKwuTVJ9H3A4HO3t7XBbEQRhNBoP/5VYwXeGD4EG9f7BX/9t\n+7bl77Dw5YTDl6AwbOL/fbD7zwfaMWzrZ2eO/sUmhqlv/+2//OSd+W1W8PdgPoC/41rDb35o\n5u7Il75MJotGo8+ePYNSOcT7AaGP5R6dpmmSJKempgiC2FdPnzlg6dyYHyjdxPwNTdPI3OBH\neDzDu34pFd5XsGPfwZGtQqEQx/Hnz58rlUqfz4d9FRdkDgsFizRN/+IXv0BGIAiiubm5pqYG\n9IFtNhtzK8wTFDFgKOZJgaH4fD6kdx0Ox76LBoGrN52vI0eO5HI5n8+HsGE49NLSEp/PhyYG\nZHDkUjzgfMF/mGsOsjUOh8Pv9wP1QQI8AoEgkUhAz2w0GkVSb8ilgu13QuFEw5WGzA0KEsCY\nFcOwUrOQt95izA+UHloul3d3dxMEMTc3h8SW3nr/0jT94sULPp+fyWRwHD94Vcvd+q3irffv\nNxwcxoSjvFfpzu9xzSs4JD4EYqc49uk/PvYp4xdkas9hsVgiCqi+4Vb3XvzJ5X/wX/x3P72y\nv5diBd8QTU1NW1tb+XyeJMl9jSy/PTQ0NBiNxqWlJYlEYjQaGxoayhK7ampqAtEvCNchtUet\nra12ux3H8Vwux+Vy6+rqmN9Tzc3N6+vrDx8+rK6u9vv9UDRz+ENLJJJwOAwpNqzkSVxVVcXl\ncl+/fl1bW+tyuYRCIVOxliAILpfrdDqj0WgmkyFJEimSa25u3traev78OY/H83g8iBVsf3//\n2NjY/fv3BQIBUIpjx44VtwIPC4VCX3zxBdALpFINmkZ//etfs9nseDyOJDS7urosFksul4tE\nImAqytQcAUayt7d3//59YDCIunJTU9PCwgKbzSYIYmdnBzF77e3tHRsb++KLL6RSaTQaxXGc\n2TXS1tYGotBFvojInTQ1NS0vL+M4zmKxDAYDEks4cuTI1NTUL3/5y+JvmDGz4jxVKlUwGEyn\n04h4slardTgcL1++xDAsEAgg7SydnZ1ut/vBgwdKpdLtdnO5XGa5GFxLQDphWZAATHt7++bm\nJpvNBuaEnO7Ozs7JycmHDx/KZDLI7zNPyrFjx8xm8/Ly8ubmJqQymacb+ypt3dXVRZKkXq9H\nHsYNDQ0Gg2FhYUEmk5lMprq6OmalWkNDw+Li4vPnz2tqakB8GJkb6Nitr6+TJJnL5ZAzcvD9\nCxRcIpG0tbU5HI5gMIhU4PF4PJ/P9+jRo1wuBzFs5tbGxsZXr14tLy+LRCKj0fhuRZsPxsH3\n7zdEdXU1QRCTk5NardbpdEokkrK8nr9VwP1LEMS+928F7wmIv/iLv/i+51A2WByRorq+tVEF\nlc+q4Z/8579z61SL9J15bf4mlpaWHjx48Cd/8idfQxHjhwG1Wk0QxO7ubiaT6e3tfbd5WIqi\n9Hr96uqq3W5nsVjI0xQMwt1udygUqq2t7e/vL4vYQSrN5XLlcrljx44hTx2hUKhUKiORCDwz\n+vr6mIMTBFFVVeX1esH+4ezZs2W1tlksFghCYBjGYrFomj5y5EjxwQPJylAo5PP5xGLxyZMn\nkVbHpqYmp9OZSqVomm5oaEDMM6qrqwuFgt/vTyaT1dXVFy5cYM4ckm57e3uFQgHH8RMnTiC2\naVqt1mazAeNUKpVITTq43afT6Vwux2azb968yXzS83g8uVwOkSeBQHDhwgUmySAIwul0wmMY\nfjM8PMzkdjKZTCgUulyuWCzW3t7e1dXFfBiLRCKCIPb29jKZDJvNPn/+PMILpVIp1NXhOC6V\nSpFmF4VCwefzXS4XGJd1dHQwB8/n8zabDcJCLBYLvJ6KH0gkEiaTSSqVhkIh6EqWyWTMVGx9\nfX08Hoe51dfXF1PbxZkLBAKfzxeNRiUSyaVLl5hfF4lEAtxUM5kMTdNsNruxsZHJ7ZRKJYfD\nAS7b09OD9DeAI5nP54M23kuXLjEJEIjnud1uOKFwJTN31+v1tbW1wWAwk8koFIpCoQBJWwAI\n+Hm93mAwqNVqBwcHmdcSjuNardbr9YbDYTabferUKYSSQn1bMpmEbhWkxxm0mi0WC4jInDx5\nknkthcPh3d1djUYDLre5XE6pVDK/AVpbW10uVyKRoChKq9WeOXOGOTjcvx6PJxQKNTQ0IPfv\nt4q33r/fBARBwPny+XxSqXR4ePj9efQcfP/+VoEkyZ/97Gd/+Id/WOrs/L2jbEH830L89V//\n9U9/+tN4PP6Dsbt5r7CxsWGxWLq6uvL5vMFgGBkZYRbZvOfw+/12u53L5XZ2diJNr0+fPk0k\nEgqFAgrm4vH4T37yk7K+BH0+n9fr5XK5X0PIl6Ioq9Uai8UUCkVTU1Ppcbe3t3d3d7lc7tDQ\nEEKe1tbWDAaDSqXicrkej0elUkEx3yERj8enpqZisRiLxerp6SktwYEMLHTVfY1QhNvtht6O\nlpaW0gdePB6H9G5DQwPykmAwGBwOh1AoTKVSCoXCYrGAcgpspSjq7t279fX1XC6XxWKZzebh\n4WHkUoxGow6HA8OwxsbGslh+oVC4d+9eT0+PTCajKGphYaHoWVKE0+k0Go00Tff29jJ7gb85\nJiYmCIIYGRmhKGp8fFypVCIywt8QwWDQ5XKxWKyWlhYkiRwKhV6+fNna2ioWi41GI+Toi1tT\nqdSXX355+vTp+vr6vb29sbGx0dFR5JIIBAJQrtrS0vID0zGu4IMGCHlOTU0h7xvvAz6EVGwF\nP2g4HI6+vj4IUeRyOYfDUUrswuFwNptVKpXvz5srhmE6nW5zcxP+bzQab9y4wWRIQqEwEokU\nOw9AHwQZAboI4SUY2WQ0GldXVzUaTSqVMhgM169fP/xTjabpsbGxRCKhUqnsdrvL5UJy0K9f\nv/Z4PBwOhyTJx48fX79+nUlTHA6HTCYDMjc3NwdUBkEikUgkEjKZrNQCwel0gk5bIpEAwwxm\nMCMcDr98+VIulxMEYTAYzpw5g4RRMQyLx+PJZFIul5fS2Y2NjZ2dnZqaGrfbbTQar1+/zrwk\nAoHA2NgYSNPp9frz588jainhcDgSiXA4nHA4jP2ddNLfb62qqrLZbFCLxmazEX0+v98/Pj4O\n8Sq9Xn/x4sXDC/ix2ezjx48vLi6yWKxCodDc3Iywuu3t7Y2NDS6XS9P0xMTE8ePH36Hk28DA\nwPj4+N27d2maFovF77ba3el0zs7OVldXw4vZ6Ogo81pyOp1goIJhmEwme/36NbN5QigUHjt2\nbGZmhs1m5/P5rq4uhNXZbLaFhYWamppsNmswGK5du1bqm1xBBRUgqBC7Ct5rUBQ1OTnp9Xqh\nquPMmTNlyeF+q9DpdFKp9OLFi5lM5sWLF4uLi8zMICiMiMVioBGlzQo6nW5rawtoxLFjx5Bq\nFZ1ONzQ01NbWBtXlZrMZya8dAL/fHw6Hb9++zefz4/H4o0ePotEo83ELnSIURUEn48rKCpKN\nZQbyS/kohPQIggATCCYFoWl6e3v71KlTDQ0NFEU9ffrUarUyJX8NBkNtbe3p06exr8T2EGK3\nvLxsMpmgZ2JoaIiZNCRJ0mAwnD59uq6ujqKox48f2+12ptrc9vY2QRCQ0GSz2VtbW0xiF4lE\nYIbFXhameUY+n/d6vadOneJwODweb2ZmZnd3l5kS1ev1NTU1wCM1Go1er0cuxWg0urm5mUwm\nNRrNkSNHEE01aBkBN1UklAiDy+VyEBR8+PChTqd7h8ROKpXeunUrEAiwWCy1Wv1u85Xb29tH\njhwBsjg5OWkwGJAa3FwuNzU1lcvl9s14dHV11dfXQ/66lLRtb2/39fXB9TM+Pr6zs4N0WFdQ\nQQWl+ACInefhv/qXD91v/xyGYRhW+9Gf/slH2rd/roL3Bo2NjRsbG7lcDmRBkNIli8USiURu\n374tFApXV1cXFhZu3779fU2VCWBFzc3NAoFAIBCIxeJkMsn8AEmSEomksbGxUCjI5XKr1cqM\nVcRisa2trXPnzkGnwszMTH19fTGNBbLDQMWgmKws5e1MJsPj8SAcJRaLCYLIZDJFYgdDqdXq\nCxcupFKphw8fItpjjY2NBoPh5cuXHA4HUrHMrcFg0Gg0Xr58uaqqymKxLC8vg/AbbIUOG4iZ\nsVgssViMzDyTyRQL/qRSKRIO9Pv9Fovl6tWrKpXKZDLB4MV6slwuR1EU/CH7Dh4Oh0HJlqbp\neDyOKK7Bj52dnSRJptNpt9sdiUSKZAI6YaurqyEGKRKJkMFjsVgqlQKTD4/HgwRQU6nU06dP\ngRBHIhGPx3Pjxg3kvMClgu0HkiSLbE8ikUCbwjsEm81+t+ndItLpdNG9QyqVAnsuQi6XGwwG\niUQiEolsNhtUfyIjiESiNwnwZjIZt9u9tbVFEETp6a6gggr2xQdA7JI7j//2L1+nD1cK2Kv+\naYXYfVgAvXiQxS+taopEItXV1fC939zcbDQamSJb3zZyuZzBYIhGo1KptKuri5lSZLFYbDbb\nbDZrNJp0Oh2Px5H4jUqlcjgcLBZLqVQuLS3xeDzmIy0ajfJ4PMjHgW9EJBIpPt4gsqLT6fr7\n+1OplMvlYorYvRUqlSqTyUBszGq1slgsZoYLVi8YDL548YKiqKI+SBH9/f2FQgGk1zQaDVJB\nEolExGIxkLOWlpalpaVYLFbkatANurW1dfTo0Vgs5vP5kD6Aqqoqq9UKfX9GoxFZNHAgcDgc\n29vbUJ4Yj8eL8hxAoGdmZjgcDo7je3t7iAMvEGI+nw9bEQ4B/Zsmk6nIsJnkDLofpqam2Gw2\njuPBYPDo0aPIwnI4HOgyLrU/AYlgmUzGZrNjsRi0Mx++MlIkEjkcDrVaTdO0z+crLT2Mx+M7\nOzvpdLq6urq9vf076xJ4K6qrq3d2dsRicT6fRwKoGIZFo1GFQgHrVltb6/V6y9KhZLPZ4XAY\n7gK9Xo90xVZQQQX74gMgdu3/zUTws5f/+0//s//hkRtr/L3/8//4/QNK66Wd35FwbgXvClBi\n39PTs+9WqVRqNBpBjsTtdgsEgu+M1UGlOUmSGo3G4/F4PB5wOC1+oL+/f2lp6enTpxiGgRYx\nc/eTJ09GIpGNjQ0MwzgcDtItKBaLs9lsKBRSKpWBQCCfzyOmpcPDwzMzM0+ePMFxvKOjoyw3\nWLFYPDw8vLy8vLa2xufzR0ZGmIVoIDVSKBRA3RdMqJARjh8//qacl0QigdJAqVTq8XiwEkGT\nkZGRmZmZx48fs1is7u5uZPCenp54PA5WGTU1NUxfUQzDBAIBxNWqq6vBPgHJ38FBITBGEASy\naMC2IQoI/Iy5ValU7u7uQk4c/mXuDpFR0IbFcZwgCOTvAhdXkO7DcRwp94RIFZfLVSgUkIXf\n29s7fLvcxYsXnz59uri4CIuAXC2pVOrFixdyuVwul+v1+kgkUq7kkM1mK1qKIeV9GIbRNO3x\neLLZbFVVVbktYoODgzMzM8+ePcMwrLm5uZRqCwSCc+fOYRi2t7dXPHeHBPizgYSNVCo9QHyx\nggoqKOIDIHYYhgkar/z3//f//KL2D59JOi/dubO/R3cFGJbP56G66PueyDsDCFw9ePAAyqtP\nnTr1NQZJJBJcLrfcxotQKBSNRj/55BMul5vP5+/fvx8IBJji8m1tbWq12ul08ni8pqYmZHwW\ni3Xz5k0wXCotHlIoFG1tbS9evACpuc7OTuQzYrH42rVr2WwWeFiZfzHW1NRUV1fn9XoRcT6M\noX3K4/FAlGTfZ206nS6lmxiGVVdX19XVPX36VCAQpFKp3t5eJC4lk8lu3rwZi8WEQmHppchi\nsUZGRo4dO5bP50sbSyGcE4vFcrkcSLLl8/niwhYKBaCSYB2GYZjD4WAW8IlEomg0ymazWSwW\nSZKleU/oF+FyuZB4TafTzDyvz+cD7i4SiZ49e7a7u4tothEEceTIEewrhwwm4C+VSCTFKGBZ\nbbNCofBHP/pRIpFgsVilXTJOp1MoFJ4/f75QKNTW1o6Pjw8NDZWuLZgal9ZEGo3GjY2N5uZm\nkiQnJyfPnj3LZNskSb569SoWi3G53EwmMzw8vK+e0ZsG5/P5ly9fzuVywKqRrXV1dWNjY+vr\n60Kh0GQyabXasi5mLpfb3t4OpY2Li4tl+URXUMFvLT4cBqAeHR3AnpXh1fnbhXw+Pzc3B5Y7\nDQ0NJ0+e/Bps4D0EQRDpdLpQKAAF2dfC4QCEw+GiAaVUKr1+/frh00CFQoHFYsGzpBjlQj4j\nk8kOfn4fQCirq6vtdnsqleJyuW/qCPna4ljj4+MQW8IwrKWlhRlNhPTr6dOnC4UCj8ezWCyI\nW0Aul/vyyy9hqVks1uXLl5Eyu5GRkb29PRBzKe0DiMVis7OzkUiEIIienh5gQkUUCoUnT55A\nPSKfz79y5QozRAQrTFFU0ZaXecYLhQLIAR49ejSTyTx48ACpRaurq2Ma1yJtGUBAcRyHJClU\nIiKHnpmZSSaTbDabx+MhFxtBECRJgl1b6etTbW1tNBplull8jferN0XL8vl8oVC4e/cuFG6C\nqQlz/L29vfn5+WQyyeFw+vv7kfS32WwWCAQmkwnHcbFYbLFYmMTOarVGo1EQ5WGxWEtLSwix\n8/v98/PzcKEODAzsGzx+00VeVVVVW1trMBgg419uoLG5uRly3BiG4TgOJngVVFDBwXhfCjUO\ngYbRn/7T/+r3T74vCtzvGdbX1xOJxNWrVy9fvhwKhX4w3syvX7+G6pxjx44RBIGYiL8Vk5OT\nFEWdOnWqr68PCMfh91UqlQRBLCwseDweOO47tGtMp9Nzc3NdXV03b95sa2ubnZ1FTDa/CZxO\np8/nk0gkQ0NDPB7ParWCugeAIIiamhq9Xs/lcuPxuMfjQbKlL168yOfzra2tvb29YM1eeoiq\nqqqWlpZSVodh2OzsrEgkunHjxsmTJ7e3txF/z6mpqVQqNTAwcOLEiXw+PzExwdyaTCZJkuTz\n+cUyMmaQBjJxPp/P4/FYrVaappEQzu7uLoZhfD6fx+PhOI4cWiQS5fN5Doej1WpBe5lJRwQC\nAcT5hoaGampqkskkEvADsWitVqvVammaRnplYG5FUywcx9+h6BqPx0skErW1tYODg7lcjiAI\nJiUlSXJ6elqj0dy8ebOvr29paQnpYEilUiRJXr169eLFi+l0GumVAanqzs7Os2fPcjicQqHA\nvBQLhcL09HRdXd3NmzePHDmyuLgYj8cPP3O4FE+fPn39+nWlUrmyslLWHw4FnRqNRqvVcjgc\nxBq4ggoq2BcfELHDh/7g3/2HP/no3dgs/+Dg9/s7OjpUKlVVVVVbWxti6/7hIhAIEARx7ty5\n7u7u7u5uMBg9/O6Q5Wxqaurp6ZHL5WU1G3K53HPnzsVisenp6XA4fO7cuXcoLh8MBtls9pEj\nR6RSKeiYMENNAK/XOz09vbS0BBHHwwNMDm7dutXe3n7nzp3ib4o4efKkQCCYnZ3d2dkBHsPc\nmkgk+Hy+SqXi8/lVVVWlccoDAFZjR48elclkDQ0NNTU1yKUYDodVKhWHw6Fpuq6uDqFHXq8X\nytesVis0ENjt9uJWgUDA5XLT6fTU1JTBYAD1f+busVhMq9V+8sknn376aUNDA3KphEIhhULR\n0dEhFAoHBgYKhQKT4iSTSYqiJBLJ2toaVBAWo4YACHAGg8FgMFjMYhcBpw/UCkEI5h3eg9DU\nHA6H19fXZTIZdPUy/+psNtvf3y+VStvb26VSaVE9sYh8Ph+Px2OxGAjcMDdls1mIYtrtdmjf\nYYYqI5FIPp+HwTs7O0UiUengB8Dv92u12vr6erlc3tvbGwqFyrqc/H5/f3//hQsXzp8/39TU\n9IP5Wquggm8VH04qtoIDAYpl8P9YLPYOKcj3Cy6Xm0qlQOcCaNmbBCP2BY7jxWBVOp3ed1lI\nkszn8/s2MKpUqtHR0YMPkc1mCYIoN+8GmT7ICUJABZnAysqK0WgEF3CLxXLr1q3DV7VDrCgY\nDKpUKghiIfliPp+PSBYzQRBENpvd3NwkCAIhN28Fh8MhCAJUl2maTiQSSJiTxWIFg8FkMkkQ\nRDKZRDLjAoEgEomcOXNGKpVubW0Fg0GmYz2O4w0NDWazuWjvi/QBgLkt1M/F43GkGoHH46XT\n6Y6ODjabDdcSc83h2jhy5EhNTQ1Jko8ePULOCPjC/ehHP8Iw7O7du8jMga/cuXOHy+XCufsa\nYtq5XA7H8dJKMh6PR5LkzZs3WSyW2+0OBALMwWHmsVhMqVTm8/l0Oo3MXCKR4Di+sbHBYrEk\nEglSNykSiZLJJFN3hhlr5PP5sJgymSyXy5XV6gu7h0IhqOmMx+PlFozyeLxYLAb0PR6Pv0kV\npYIKKmCiQux+IOju7p6cnIxGoxRFBYNBRG/2w8Xx48cnJibu3r0LPwqFwrIeDM3NzVar9d69\ne1BChDSuYhi2srJiMplomlYoFKdPny6rJTCVSk1PT4dCIRzHW1tbh4aGDu8YplarVSrV06dP\n1Wr13t5eTU0NonBhMpmgqzSRSDgcjtnZ2bdSzCIGBgbsdvuLFy+gLIzFYiEiFAdDJpOBryiG\nYaXpzoOB43hXV9f8/LzD4YjH47lcjqkwjGEYqJEVCgWSJEuVVk6cOPHgwYPHjx/DzBH1NYqi\nbDbb4OCgTCYjCGJ6etrhcDDrybq7u1dXV+/duwc/IprP9fX129vbT548USgUXq+3tbWVeXQO\nh9PR0TE1NVVTUwMSx0hPa3Nzs8Vi+eUvfwkzQfoqtFptJBK5d+8ej8eDpSvr5Sqfz8/MzHi9\nXpjnqVOnmNd5c3Pzzs7OkydPpFKp1+vt7OxkbhUKhU1NTePj4zU1NaFQSCAQlHYiz8zM1NTU\nQCs0chcAQ4VAY2k4TSwWNzQ0vHr1qrq6OhQKQWIU+QwkpgmCKH3pam1tNZlMT5484fP5gUCg\nt7e3LFe9np6excXFvb29bDYbi8UGBgYOv28FFXyrYEbN3zdUiN0PBFqtdnR01OFw4Dg+NDRU\nVkfe+4x8Pk8QBDQzstnsci1Th4eH5XK5zWZjs9lHjx4tyq0BbDabzWY7d+6cUChcW1tbWFhA\nTOUPxsLCApvNvn79eiaTmZ2dlcvlh3cLwHH85MmTc3NzgUBAKpWeOHECsaunabq1tRWk1Nxu\nd1mFTVwud3R0dGJiIpfLCQSCclk+h8Opra0Nh8M0TSuVytIc8cE4evSoUqn0+XxKpRIhTxiG\n4Tje3NwMtu4ymQyoTBECgeDWrVtTU1PpdFqtVoNMRhGZTIYkSa1WC/xbLpcjydbd3V0cx4Fe\nZDIZr9fLlFNhs9mjo6MWiyWZTJ44caJUi2RwcBB4tkqlam1tRRjt4OBgKBSC8jW5XI4ItTQ1\nNRkMBoFAQFEUn88HVTzmB/L5/Pb2djAYFAqFR44cKfXnTafTo6OjFEXNz89vbW0dO3asuJXL\n5V6/ft1sNmcymZGRkVITtoGBgVwuFwwGBQLB8PAw8vJTX19/5cqV3d1dkIpEDp1Op6E0ELpq\ncBxPJpPMz4yMjNjt9lAo1NXV1dLSgoQqU6nU1NQUxMXBU4R5dIFAoFQqPR5PLBbjcDhI0v+t\naGlpEYvFLpcL3rsqEbsKvntQFOVyuSwWi9VqLf5rsViQ7673ChVi98OBQqH4Gpbq7zn8fn/R\ngSoUCj1//rxUoDgYDIKwLcLbAGq1GuxBS8nu3t5eXV0dpPN6enrGxsZK1VMDgQD4cSEpRZqm\nA4HA8PBwOBxms9ngYn54YkeS5MTEBMgXx+PxiYkJZscu/IG7u7sSiQTYTFmPtHw+Pz09LZFI\nNBqNy+WanZ29evXq4duBFQqFyWSCiFowGPwaFxWLxYIa/9JoH0TL2tracBx3Op3MTCtALBaX\nejYAhEIhn8/X6XRKpZIkyb29PSQcGI1GNRoNiMDNzc05nU5kBA6Hg4TxEEil0nw+LxAISme+\nubmZy+VAXcXhcGxubjK5nVQqPXfu3NbWViqVqq6uRmgfhmHT09OJREIul8disZcvX964cYP5\nlgIXTywWA+ILqi7IzGUyGY/H29csdXp6OpvNtrW17e3tjY+P37hxA+HTKpUKaW1mjgxvERKJ\nZHt7O5vNInHrcDhsNBpBQFskEiHhwJWVFYIgjh07RtO02Ww2GAzMPmidTufxeGpqamQymdls\nnpiYgFw2E+vr636/X6VS7avCXVVVte99/T7gTV8OFXygiEQiTPYG/9pstnKrnL93VIhdBe81\nBAJBMBiEQAK89COsbm1tbWdnRyKRJBKJhoYGROhOr9evr6+DH6vJZLp27RqT3vH5fJ/PVxyc\ny+Ui7Gd5edlisYjF4kQi0dzcfOLEieImELyYm5sTCoXgo7WvDARN0xRFlaaP9/b2oG8A0liQ\nQC8+wHAcl0gk8Xh8dXUVflPqgnAA9vb2crlA3UL6AAAgAElEQVTczZs3CYJob2+/d+9eJBIp\npVBvAsRHoc0TIqaHPzSGYYuLixaLpbjmUHZW3NrS0mIymaA7EsfxA0r99kVjY+POzo7NZsMw\njMfjISSDIIhiDC8Wi5U7c6PRuLq6KhaL0+m0Uqm8cOEC83pwu925XA4Onc/nPR4Pwt40Gs2b\nbLtSqZTP58NxnMViQdkiIpLHZrPX19d5PB5N07lcDpG/oSjq1atX0WhUIBAsLS0dP36cmYCO\nx+N7e3u3b98WiUQ0TX/55Zcej6f0aoS2idJMqFQqDQaDzPYapoUuSZJTU1PV1dUDAwNer3dm\nZubmzZvM1wy/3w/yNHDN+Hw+JrHb3d3l8/kXL17EMAxcAaE4sviB+/fvQ+Y6FApZrdbPPvts\n3wV8D7G4uGiz2eDLASoxvu8ZVXBY5PN5h8MBgTcmh3tr2zVBEPX19a2trS0tLU1NTX/+53/+\n3Uy4XFSIXQXvNYo1OiKRyOfzQQNpEYlEAvJfsViMz+c7HA4QDS5+YGtrC7zVc7ncgwcPFhYW\nmJVqbW1tZrP56dOnQqHQ6/UiFTyxWMxkMoFvaTgcfv78eVtbGzN8BZ0NEokEJCRKH5nr6+tG\no5GiqJqampMnTzIjNNCfCGK8wB7i8TgzMgEOsyAeRpIk0j16MKCuDoaFPk1Eqe5ggFUX6Nky\nyeUhYbVa6+rqzp49m0gkHj16tLS0BAFXwM7Ojlqt7u/vp2naZDLt7OyU+l68CdBHMjg4CEo0\nExMTdrudGbQ7cuTI8vIyVGTmcjlEQu9gkCS5trY2PDzc3NycTqefPHmyu7vL9LACuvPRRx9h\nGPbw4cOy5GngjX9wcLC9vT2VSn355ZdMARoARVGZTAY02xDJaJvNlkwmb9++zePxzGbz6upq\nS0tL8XoDCg4vPMAdkdOdz+cXFhZcLheO4y0tLUgxKOw+ODjIYrFAGYcZ7YtEIplM5sSJEwRB\nVFVVOZ1Ov9/PXHO4Ba5fv14oFH79618jywJ1e3CpQ00Sk23b7fZMJtPR0TE4OGg0GldWVtbW\n1kqDne8hwuGw1WodHR1VKBTgzgf9yN/3vCpAEQ6HLSVwOBxv7c5WKBRarba2traVgZ6enmJr\nUS6XqxC7Cir4OoD+zdXV1UQi0d7ejhgWgf1UXV1dc3Oz2+3W6XShUIhJ7EiShIIkLpcrkUiQ\nHk+hUHjz5k2r1ZrL5bq6upAwSTwe53A4kMBSKBSgJVYkdhBZaWpqglSsVqtFHmlWq9VsNgOf\nW19fX1xcZFaMwaOXxWJpNBqIeTDtkiiKSqfTp0+fhr9lYWGhrBq76upqmqbv379P0zSLxeLz\n+YcP12EYxuVyfT4fuG+JRKKymgDi8ThN0/DgF4vFPB4PmXkikSh2itTU1IDe7yEBUtW1tbUQ\nMVIoFMjg7e3tAoFge3ubpuk3Sem+CalUiqIoCLkJBAK5XI4MzmazU6nU5OQkfLgsmTogag6H\ng8vlQkMusqqJRILD4UAoK5vNwoXN3CqVSnU6XSaTkcvlhUIhnU4XJyCVSqVS6ezsbEtLi9/v\nz2QySOAQBFwuXLhAkuTi4qJIJGLadXA4HIFAADFULpdL03Q2my1ODxK16XRaLBYXCoVcLock\nqXEcj0ajz58/h7g18nf19PRMTk7evXuXz+dDJppJ7EBDGzKwHR0dKysr71apLp/PQxJZJpN1\ndna+Q+OKRCLB4/HgMgb5nng8XiF23yNyudzu7i5C4IxGI6LaWAoOh9PQ0NBagg+6rqlC7Cp4\nr5FIJMbHx1UqlVwut1qtOI4zX+iBHikUCqVSCQkdxE2Sw+FYrdaOjo54PB6JREqLdfh8/pts\nauEJ6nA4Ghsbd3d3s9ksU48Xx3E+n+90Oqurq7PZrNvtRkgnSASvrKwUCgWFQlHM+cJWoJhg\nSw9GWMyYHIvFkslkVqtVqVSmUimv18t8Er8VOI4XpcigrbWsVkShUGi324t5w7JIIShrbG1t\nVVdX+3y+TCaDBOTkcvnu7m5raytBEHa7fd9vz1gslkwm5XI50n8gEAggZNXX1xeNRgOBQCl1\nq6urK+0tYCIajaZSKYVCgTTiiEQiDodjNpuPHDkSDodDoRByQquqqiKRCExJJpPtK878Jkil\nUvDEW11dBfFk5C0CzCQ0Gg1UaiPnSygU6vX6fD6vUql0Oh3Sf4rj+Pnz51dWViCPfP78eaQi\n0+fz9fb2QuNCa2srcjkpFAq73X7+/Hk2m+10Ot1uN5OcSaVSjUYzNjam1WoDgQCPx0NYo1Kp\npGka7iyHw4FU8tXW1g4PD29tbWWz2draWsR5orGx0WazvXz58sqVKzMzMxiGlfrYFgoFEH1U\nKpVlXcYURY2NjYHIUSAQcLvdZVWaHgy5XJ7NZnd3d+vr6yH8U9b1UME3wb5BOJvN9lYrYYVC\nUUrgmpqafhguTUxUiF0F7zWsVqtcLocanZqamvn5+WPHjhW/3+EVeWlpCdzTWSwW8vV68uTJ\n6elpyM1xOJyRkZHDH1okEvX398/Pz8/NzWEY1tfXh9St5/N5iqKgN4rJpQDZbDYcDh8/fpzP\n5y8vL8Nnilsh3AIxIcjTIQ/jEydOTE1Nff755+B2cPi2DAzDjEYjTdOffPIJn88Ph8PPnj1z\nOp37GoDuCygjA6qB4zhiY/BW9PX1ra+v/+pXv8IwTCgUIrVHvb294+Pj9+/fx3FcJBJduHAB\n2X15edlkMoHG7/Hjx5lZP2glnp2dBYuqpqam0s7Wg7GwsGC1WuF7/MSJE8w1YbFY0Kes0+mg\nmQChpH19fePj41arFcMwiUSCVAUcDIIghoeHFxYWSJLMZDLt7e2l1Xg4ju/u7kKQtVQkj8Ph\nhMNhMGoDsRhmsalIJEI6iJngcrnF0sNkMokE1Zqamjwez+vXr0FCj5k3B5w9e9ZkMoVCobq6\nOlABZG4dGhqamJjY29ujaVqlUpW+JrW0tCA9LkVoNBqFQhEIBH7+859jGCYWi5EXmHA4/Pr1\n61wuB4JEly5dOrxgZDAYDIfDXC4XFHYikQjoCh1y94MBFwCQUXjbrHTsvnNkMhm3240QOL1e\n/9a6FB6PV1dXhxC4Uj/uHzAqxK6C9xpM6WCBQAAF2sUXLJlMBqpj0GzI4/GQQEhdXd2nn37q\ndDrZbPbhmU0RnZ2dDQ0N8XhcIpEg0SOapguFQnV1NRRyFRUfioBJ2u12Pp8PihLMiF1ra+vW\n1haQG7B+R4JPKpXqo48+gidTueI14CUA6wbfZWUVhEHs89atWzwe78GDB2VZBWAY1t3d3djY\n6HK5Sjsosa+kWEBLRaFQIAzG7/dbLBaoazSZTMvLy/X19cwMmlarvXPnTiQS4fP55X5Nezwe\nh8Nx7do1hUKxs7OzuLhYX1/PfFmvq6u7c+cO9CiUKhoKBILr168X5U7Kjf2AD0ckEhEKhaWD\ngxB3VVUVdCIj0cRCoaBUKoeGhjKZDEEQ+/aGH4Curq65uTkwhPX5fIimD47jp0+f7u3thZh0\nab6SIIgDWokhsgu5ZjabXVZQDcOwa9eu+f3+3d3dmpqa0lDryspKdXX1yZMnc7ncq1ev9Hr9\n4buI4H68du2aSCRKp9O//vWvQ6HQuyJ2GIZ1d3c3NTXt++VQQVmAxIjb7fZ4PEwOB7aBB++7\nbxCuubn5XYVmP1BUiF0F7zW0Wu3U1JTJZBKLxTqdrrq6mvkkxnH83LlzFoslHA5XV1cXDUaZ\n4HK5B4S78vm83W7P5/MQPCj9QDAYjEajuVyurq6u9KEVjUbX1tagOwGJ5xfrtCKRiEqlSiQS\nzN15PN7o6Ojc3FwqlZLJZCdPnix9Tu/u7jocDrB1L63oymazkAOqra1FmB90nt6/fx/SfziO\nM5sAAOvr606nk8fjjYyMIDwDOKjBYODz+RC0Q/ZNJBJbW1uJREKpVB45cqS0CM9oNLpcLj6f\nL5VKS0mMw+FYW1ujabqzsxMJ8IBsTSKR8Hq9CoUCujeQXDCEXvh8/r5q1cFgEGrsSosmQZli\ndXU1nU6rVCoYHAnxcrncA8Q1gsGgwWDAMKynp6dUPSSdTs/MzECJ2749klwuF5lSEQ0NDdCU\nB0LByPnSaDTb29uzs7MQRi3NI2MYtr297fV6pVJpf38/ci01NjZSFGU2m1ks1oULF0q1ORKJ\nxOLiYiaTqaur27d3wePxhEIhiUTS0NCAXA8rKys8Hq+hoYGmaYfDURb3AlRXV79pWSKRSE9P\nD9SJggT04Yfl8/k4jk9OThYnXK4K5lshEAgqlK4sfO1WBj6fj/QxIK0MFTBRIXYVvNfQarX9\n/f06nS6Xy2k0muPHjyMfIAiiLFsFJjKZzLNnz0DSdnNzEzoimR+YmZnxeDwQ4LHb7UxtDpA7\nyWazkCfCSmy7pFIpSEjgOB4IBEozNXK5/E2CbdhXSUM2m02S5O7u7vXr15njJ5PJ58+fQ7n9\n5ubmmTNnmNEOMGaAwBuGYTweD3mkPX/+PBQKsVisZDL58OFDCGIVt0okklgsBq/LLBYLeZBD\n7EQqldbW1jqdztevX1+9epX5mSdPnoBzQyKRePjw4c2bN5lF5ZubmzqdDpZlY2MjEAiA7BwA\nyg2Xl5flcvn29jaGYQgv1Ov1GxsbQJR3dnZGR0eZJMZut8/NzcGcPR7P8ePHmZxeIBBAbT7M\nrXTwg2Gz2ebn54FKut3ukydPMq+WdDr94MEDWDGTyeTxeG7fvn34wcHXrvgjsuZisZhpjldK\nPZ8+fQpijXt7ew6H4+OPP2Yui8/nW1xcBE+w6enpq1evMs9ILBZ7/PgxHNRgMPh8vuvXrzMH\nX1pastlsSqXSaDRaLJaLFy8ypxcIBCA1DC0dZTnJvhUSicTtdms0GpAtfBP/2xfQQlRsQ8Fx\nfF8xmlwux2azf8sDPO8c+7YymEwmpCuoFKWtDMXW1O9m5j8MVIhdBe87Ojo6vjZ1Oxgmkwki\nZywWa2dnZ2Njg/moDofDTqfz1q1bIJL36NEjcF8tfqBQKOA4Dn7wJEkiqdjt7W0Qmy0UCkXV\nusOjKBpSKBTu3bu3tLR05cqV4laDwSCVSi9duoTj+Obm5sbGBpPYgbwwJDSdTid4VTGfaqFQ\nSKlUjo6O5nK5u3fvzs7O3rp1q7h1ZGTk6dOnwFYpimKq92EY5vV6aZo+f/48i8VqaWm5f/8+\npMJhK0mS0WgUDMHg35mZGSZ/BbpWW1sLpfqIEi8cFORdoBQaaRbe3Nw8depUY2NjoVB4/Pix\nzWZjqsGtr68LhcI7d+5gGPb48eONjQ0msYPaQQj/QPNKPB4/fO/b2tqaSCQCuvbll1+ur68z\nr5aZmRmapoHFTk1NuVyuRCJxeOJYVP6DGW5tbTGrzVZWVopFk1CDyEzFRqPRSCQyMDDQ2dkZ\nj8cfPXq0vb3NLAHc2tpqa2uD5tPJycnt7W2m3CMUin388ccCgeDly5eBQIAZfk4mk2azGa6l\ndDr96NEjr9fLbHGgaVoul1+7do2iqPv375eV9H8rBgYGXr9+7XK5oN+2rBYiaLnlcrnQyQvS\ng0x+kEqlZmdnA4EAjuPt7e0DAwPl5pErwN51K0NjY2O5vtsVlKKyghV8/3C5XLu7uwRBtLa2\nltWD+Q0BT/e7d++SJAkeD0zniXQ6zeFwnE4npPCgCqpI7MB/qaenRyqVcjic9fV15JGWz+fZ\nbDb4coJmb2m69k2AxARQMTabLRAIiuG34twUCgU8h5RK5c7ODnMriOrBVIHwhcPhIrGDYBVU\nv3G5XIg7MneXyWRDQ0Obm5skSTY2NiLvyqBzC6lYmUwGVlTFrZAsE4lEp0+fjsViMzMziMQM\nTdMEQUClP2hzIH+XTCYbHBxMJpNSqfT58+epVKoYbsxmsxRFJRKJ2dlZsO1CBs/n83K5fGFh\ngaZpgUCAGI6lUinIRaZSKQ6HMzU1FQgEmMSOoiiLxRIIBAQCQWdnJ5JlKxQKxVCZQqFAKGkq\nlcJx3Gq1ptNp2DEYDDKJHSRDIXbb0dGBDA4XHhAmn8+HCNElk0kOh6PX6zOZDKwGk5LCG0Wh\nUJiZmRGJRARBIEItqVSqSHDB7Y25NZvNFttsGxoaAoEAFA8w/y44FmQeEYtMkDt5/Pgx9BKV\nJY7zVlRVVX300Ud+v58gCI1GU1b3IizCp59+Cuotv/jFLxDli8XFRRzHr127lslk5ubmZDJZ\nJSx0APZtZTAYDMhdVgoulwuivkx0dHRU1GG+PVSIXQXfM8xm88rKSmNjYyaTefny5aVLl8ry\n54lEIisrK+FwGKqLynIfomkaitlFIlEgEEC6EUHuxGg01tbWmkymXC7HrMdisVigpXL27Nl4\nPB6Px5HSb4lEEolEQCEZ1EMO/1his9lsNhu8s0KhUDKZRIquoLegqamJx+OZTCZkxerr6y0W\ny8LCQnd3N8gL19fXF7cC29je3gYTTyZfAZjN5qWlJT6fz+fzLRZLoVBgdhND5MZkMkkkEpfL\nRRAEc1mgoSGVSmWzWcjKMW0GACRJ/upXv4JyMWSTSqVaXV2NRqMikQjqC5kJaIFAAMvS2Njo\n9XpjsRjSbgnCFhiGsVgsv9+PJKA1Go3RaNzZ2enp6ZmamsIwDOmnWVhY8Hq99fX1gUDAbrcj\nxlwikcjj8UATtMfjQXLr1dXVNpvNYrHIZDKHw4GsOYZhEByqq6vz+/0Oh+P69evIylAUlUwm\nwaoECR2p1epQKLS7u6tSqYxGI4ZhTD4KlF2n01VVVfn9fpIkkRYBlUplNptVKlWhULDb7cjE\ngKTOzc2pVKrNzU34fHErKM/p9fq2tjav1wuFlczdq6qqstmsVqulKMpms73D7gQAn88vrRA9\nDOrq6nQ63czMTF9fH9wFzDuUpum9vb2zZ8/CSjY0NPj9/gqxA+wbhKu0MnxAqBC7Cr5nGI3G\nvr4+aLubnZ01m82HJ3aFQuH169dqtXpkZMTtdk9OTt66devwJdIgHpFKpSCEAyGH4ncQRINI\nkgSBDBzH0+k0sxPz9OnTk5OTL168wDBMKBQiWipXr169d+/e1tYW/Aihu8NjaGhofn7+2bNn\nGIbxeDxk987OzlAoBFtlMhkidaHRaBoaGqxWK2hzlPb5Hz16dHNzc2JiAsMwDoeDtEnq9fpi\nQnNycnJ3d5e5NRqNslisfD4P9WpAR4rjg2ZeoVAYGxuD3yCdKzU1NT6fr1grjdQ+K5VKtVoN\n6jAYhvX09DDZcKFQKBQKXC7XZrNBEhyJNUL/Y5HbIVGxwcFBj8fjdrvdbjeGYa2trUxqlcvl\n7Hb7lStX1Go1TdOPHj1yOp3MPO+5c+eePXtWXDRkzZVKpc1my+fzcHQMw5gB2kwms7u7C7WM\nFEU9fPjQ5XIxWSmbzS4UCsWQEtKaKhAIQFOwGKFkpmKBH4OdF4ZhoFrC3H1gYGBqaurhw4cY\nhmk0GqRh5dy5c59//rndbrfb7RiGIWWmHA7n1KlTCwsLm5ubBEH09/cj7SZDQ0OTk5PACGtr\naw+24v0uoVAowFoGLuCWlhbmCwxcP/F4HGhxPB4vt/f8BwCEwEFfqk6nQ4Kypdi3laG7u7ui\n+fKeoELsKviekcvlig9gMAc7/L6hUCibzZ46dYrFYtXW1rrd7r29Paa2GU3TOzs7LpeLzWa3\nt7fvq75x7do16I2Fov4iwCb1448/TqVSIpHowYMHiFKdRqP57LPP/H6/QCAofSoQBAFbId5W\nGq7L5XJgKSGVSoeHh5GHsdPpFAgEoCWRTCa9Xi9z8iCPksvlCoVCfX19aWtYX18fxCPVanXp\ns/bIkSPt7e0ul0sqlZZ2dwJpGB8fh3QzUisTiUQoijp//nxNTY3RaFxbW2MSOxzHe3p6DAYD\nGBWQJFmqYaZUKqPRKEVRCoUCYWaBQCAQCKjVaihpNxqNPT09RQYDdPDy5csg5jIzM4OcEYqi\nent74cUgGo2aTCbk0KAgEwgEmpqakIAZDAUrCeMjg4vF4h//+McQhiwNDAeDQRzHT5w4kc/n\no9Eo2JkUDwFShXCds1gsHo+HDF7sv6FpOh6PIxG7fD5fVVV1/PjxWCwmEAiePXvGJHbwGO7q\n6lIqlRRFzc3NhUIhZpRLIBBcvXo1mUyyWKzSS8XhcLDZ7P7+fpg5kqjFMKyurk6j0SQSCaFQ\nWCqGIhQKr127lkwmEdnk9wHHjx/v7e2F0tjS972enp7l5WWv15vJZBKJBFJL+kPCvq0MZrP5\nrV3GxVaGUnOt72bmFXw9VIhdBe8Ge3t72WxWpVLt++UOqh9isbi0Vl2r1ep0Og6Hk8vlrFZr\nqVYCJE1yuZxarUa+ndlsNk3T4XAYLJ5Ki9g2NjasVmtNTQ14mZ8/f57ZQ9Dc3Ly2tjYxMSEW\ni0F3jZkyUKlULBZrbW2tqanJbDbTNF0aSgRPsDetCU3TYPxQKBSQiZEk+eWXX4LwbDwe9/v9\nn376KdP90+v1crnczs7OZDIJX8RMYuf1eqemptra2vh8vsFgyOfzzGL5fD4/NjYmEAhUKlU0\nGp2YmLh27RqSDYlEIi6XKxwOIy5PGIZJJJJAIJDL5aC1FiFA8GG9Xl/kwQgLOXr0qFgsBmLa\n19eHFF2x2WyRSHT06NFCoRCNRl0uF3Or3++H0RQKRSgUgs8UqSefz1coFBMTE4VCgcVi5XK5\n3t5e5u6QbAWFF7vdXipfHA6HFxYW0um03+8fHh5m/mkikUgqlc7PzwOtDAaD0G3AhM1mg0xo\nR0cHEtmCZQmFQkUXNWbeSiKRiMXi+fl5sEiJRqNIypIgCBaLJRaLaZpOpVLIGQG5E6PRyOVy\nDQbDvnInyWRSq9X6/X7sK99YJmAlCYLg8XjI4KFQqKqqSiwWg46d1WplWooBUqkUuBvv22uS\nTqehg7tUvvibIxwOb21t8fn8Y8eO7ZvWX1tbS6VS+wrQYBjG5/Pf5ETS1tYGXbeQQPxhCGfs\nm0W12+1vdYuutDL8kFA5ZxV8U1AUNTExEQgEgMGMjIwg36QGg2F9fR0SZy0tLcib8cDAwNLS\n0vT0NIvFamtrQzJ3JEmOj4+HQiEOh0OS5OnTp5kdeQqFQiAQvHjxAjJZpTphVquVJEmv10uS\nJJTEMXlYV1dXKpUym83QHsHU3cAwjMvlnj17dnl52Wq1SiSSs2fPllUYDuwqFouBicK5c+eY\nYR6z2Qz8A/hWLpez2WzF4BYoyTU3N0PWzOVyIV0Cdru9qakJxNKEQuHGxgaT2Pn9/mw2m06n\nk8kkhMTC4TDzsTc3Nwd5N5jJnTt3EIsqmD8SVQKAsxNT1QIpgna5XEtLSyChl0gkLly4wOSU\n9fX1c3NzkCOmaRrknYuA9ohgMJhIJJC+CkAsFmM+opAUc2Njo16v1+v1sLBICV0qlXr+/Dnw\nLZfLFQwGP/nkE+YHmpub19fXgRspFAok56jX69fX12Fx5ufns9ksMxSqVqvBHRh+xHGcSRRw\nHG9qatLpdFCip1KpkBCvQqFIJpMQLePxeEgdm0qlkkqlwCkRVz3sKxu3WCw2Pj4OSdtS5b9i\n/JXP51+5coXJC0Uikdls9ng88HJFEATCnw6+f+12+/z8PIZhNE1vbW3duHHjHer7b2xsQBs1\nhmFWq3V0dJTJLKFXHU6o2+1ubW0tN+p2gITee45sNutyuRACt7Oz81ZT6X1bGdrb238LM9E/\nYFSIXQXfFFarNRaL3b59WyAQbG1tLS4uMoldJpNZX18fGRlpaGgIh8MvXrxoampiUhxw+mK6\nMjBhsVhSqdSdO3f4fP7GxsbS0hLUfgHS6XQ6na6vrwfe5nQ6Y7HY/8/eewa3daVpwufei5wJ\nggATmEkxi8rRCpZlWbKcOnk8vbXVtVXdXTX7Y39s1e7O/Nnab2d3a8Kfrqlv+pvuma3prpme\nGctBsiXLEhVIkRRzziBAEgARiZzjvd+PV7o+PqBoSZY93dN4fpE4wMWNOM95w/PgsxrE+c6c\nOZPL5W7cuFGoorRv3759+/Y96dvLysouXLjwpNHdYTKZcrncG2+8IRQKp6ampqencXkwSIKc\nOXOmrKzM7XY/ePAgGAwS9lkWiwWEPzKZTKG1KB934XX/eUSj0Xw+D+ViIHdCFM1YrVaoovN6\nvX19fQMDA/i+gQDEhQsXpFLpJ598AmlEHk6nE06ISqWKRCKQOsR54cTERFtbW3t7ezKZ7O3t\n3dzcxBM3W1tbUN4ENYtOp7MwRgvJSiB2+KGl02kQTP7e9743OTm5vr5+/fr17373u/wboN0E\nCPrw8PDi4iIuPTg5Oclx3KlTp8rLy0GRBGRfYJRl2cXFxX379jU1NcXj8d7e3q2tLTzmt7q6\nKpfLX3vtNYTQ559/vrKyghM7IK8MwygUCuhKxu+ZXC63vLzc1tYGBz43N+d0OvEQbHd3d19f\nn0gk4jgum80S58RqtaZSKeDfq6uri4uLzc3N/PbFYnF7e/vS0pJKpYrH43q9nnBcnZ2dRQjB\nqctkMouLi7geJGwHzjl4luB7/pXP79TUlEwmu3jxYiqVunnz5sjIyPnz59ELwsrKikAgeOut\nt+Lx+Oeffz4wMIBz8YGBAY7jQIrl2rVr6+vr/ybTqcVWhiKeFUViV8TXRSQS0el0vFwCGH7z\nwS1YQUIjXklJCUx7hSVKT2JO4XCYz8BWV1cvLy/j1UWRSISm6ePHj8O/fr+fIHYQyVhfX0+l\nUplM5km6YrvztudTt4pEIgaDAYIf1dXV8ENMuNzOz883NzeDmQEe56Aoymg0ejwev98PP99E\nINNoNA4PD0ulUolEsrS0ROQcwdlpfn5eLpcDycB/ykGeAHZJJBIxDFOoscdx3NbWFvAMYsjv\n9yOETp48GYvFVCpVf3+/w+HgeWc6nU6n03C5+Vww/nGfz6dSqdra2liWtdlsEB7jAb0XKpWK\noiilUklUm0EnSn19PVSzbWxsEPV/kUjEaDQC5a2srFxZWcFH+cOEvDYE7fi7JR6P5/N5cFaA\nmgGi3DOXy+l0Oti4RqOB2BuPaDRaVoAEZ7gAACAASURBVFbW3NycSCTgtOClh7FYjGXZ5eVl\npVIJAiKRSAQndiUlJRcvXnQ6nRRFVVVVETEzuKshBGg0Gufm5pLJJB4R7OjoKC8vDwQCcrm8\noqKCuGO3t7dZloUKPEjB48QuFotVVFTAjjU3N09OTj7T85vL5RoaGqB6D6xW0DMiEAhAV3vh\nzwLHcVVVVQzDqFQqsVhMrDFSqZRQKIRQdF1d3erqKl7X+K+OeDzu9XqFQmFlZeXTcCkgcISz\n1nO3MuzZs+eZ9LeL+LeEIrEr4utCrVbb7XaocrPZbBKJBE9Zwtxmt9tramoCgQCInz3TxldW\nVkAbzG63y2QyvOZDpVKxLOtwOKqqqnw+H9hz4R/XaDT5fN5kMkFl9wvXYtgFKpXKZrOl02mR\nSLS1tQVkhR+tqKiYn5/3+/18EyURZTl48OD8/LzL5RKJREePHi30wD1w4AAI1dbW1hKlZlqt\nluM4n8/n9/tBOwPPKsLPvclkAnP0fD5PTAAQueF9fgiWUFpaGggEAoFAR0cHtIjidfrgcmGz\n2To7OxOJhN/vJ44LIRSJRKampqCAj5jwoIqRr+kGksePdnR0mM3mzc1NqBiD+kXinDudzsbG\nRoqiHA4HcTPo9Xo+XwnhQJwQy+VygUBgs9lA5jcYDOItsQghpVLpcrkgH+pyuYgEtEqlMplM\nKpWqqqrKZDJBKSF+WhBCkMeEKGlhmlsikTypJl2lUq2vr8fjcVCBEYlEhZWspaWlOxaZIYRg\nRZFMJuFmIOiRUqm0WCzAKe12u1AofKbnF4SmOzo6MpkMOMLtuA9PwuzsLNyK8XjcaDTiyskI\nIZqmQZ04EongXVYAiUQC9amlpaWgPv3bw+ocDgcsvWC3z507x9+r2WzWbrc/RysDekIQDpY6\n3/ABFfG7hCKxK+Lroq6uzm6337hxA1oZCNUPiUSyd+/e0dHRqampTCbT2Nj4TDJ1jY2NW1tb\nN27cgEo1PjgHkMlkzc3NDx8+RAhxHGc0Goni7v379z948AAk01QqVaFy/ebm5srKCnjF7t27\n95kmhkgkcu/ePZgmdTod7gyBENqzZ8/m5ua1a9cQQgzD4DlBhJBard6zZ8/KyopIJMpms+3t\n7QS7ikajGxsbQK3MZnNhH0B9fX1hwykA5m9o3UCPezjwN4DJAa8sSmz8xIkTd+/e5eNVRFpw\n3759m5ubi4uLED9TKpUEn+ju7p6YmIDWCrVaTTQZSCSSdDoNDbMcxxGl2UBBgLEB9cH3XCwW\nw56DUBxCiBBq6erqunfv3rVr10DygxjV6/Vms5miKGB1YAqHn5OGhoaZmZmZmRlwmSNKRY8d\nO3br1q3p6Wl487Fjx/DR6upqu93++eefQ6XpoUOHcM4KlY4whSOEBAIBQUkhEQzHVV9f39bW\nhk/VtbW1a2troFeCEDpw4MAzTeRwVrPZ7I7Ju0QiwTtecBxHuHZKJJLW1taRkZHR0VGInxHP\n7/79+0dHRz/66KMdT8vuiMViKysrpaWlsCSz2WxNTU347dTS0rKysvLhhx8ihCiKOnXqFP7x\nM2fOfPrpp7ywzpMeh38VzMzMtLa2Asu/du1ab29vLBYrtjIU8e2geJcU8XVB0/Tp06d9Ph90\nxRb267W0tFRWVkJXLFGQ/jQbP3v2LN8VS7QvgI+qXq9Xq9WxWMzj8RANfVqt9tKlSz6fTyAQ\nlJWVEdOh2+2emJjo6OiQyWTLy8uTk5OF09L29nY4HFapVIVF1nfv3gUdilQq5fP5hoaGcPbm\n8XiSyWRDQ4NAIHA4HDabjeif7e7urquri0QiarW6sN78/v37uVxOqVSCI9nY2Njhw4ef8qTB\n0h/ya+Fw2Ov1guQvjOZyOWB+DMOwLAu6sngTQ2lp6dtvvz03N5fP58FaA984JIYUCgXLssC2\ncfE/hJDValUqlQaDAZThiL4NoVCo1WpBM6WkpITokAA5sUOHDkEe8/PPP8cVcXO5HNB3j8cD\nt5nH48HvKKlU+tprr0Fjh06nI2ZBSCKD0Rl028RiMfzja2trFEWp1ep4PJ5IJMxmM+5l53A4\nhEIhhCdtNpvD4cDXCRRFHT9+PBAIJJNJrVZLxJbg+jIMYzAYQqEQZGPxNywvL0NnDwj0CIVC\n/KtDoRBcU/CitVgsz6Q3AWxYLpezLEsURCKEvF4v9F8nk0mRSLS8vAyhQRhlWdZut+v1eo1G\nA7lF3loDACV3oPXY1NT0TMwD6gSkUumePXucTmcoFCLulkwmAxYjYJULTyI/CpKKEJ9OpVI7\nGsnv8vy+QBCtDBaLZWpqyuv1Pp8rw9O0MkCoUiwWP2Wet4jfKxSJXREvBrvH4RQKxdcp+HiS\nn0QgEEilUhcvXgSG8emnn3q9XiL+JBKJCuXrAJDDhc5TiUQyODhI9ElMTk5ubGwoFIpYLFZb\nW0uoBGezWaPRCFzwo48+IsrFHA5HTU0NVHPr9frR0dHCHVCpVDumrkCgDvYEFvegqfuUAAJU\nU1OjUCjkcrnH48Fr0YBLQR9APB6/efNmYY2dSCR6Uh06bC2ZTMrlciioCoVCPPfKZrNer/fc\nuXPwSiqVcjgc+FRdUlLi8/kuXbrEMMzY2BhBMkpKSubm5rLZbGVl5draGsMwOOWF4+rs7IRz\n3t/fX5jQBO+pHfccOotra2urq6unpqaISdfhcHAcd+TIEeilvXLlCkHstra29uzZA2ROKpVu\nbW0VBoCfZIgHnJKiKLiONE3DKzysViucOiDKVqsV/2qTyQSxcI1GMzMz43a7CxVJdgHPJhFC\nYrGYiESKxeJAILCysiKVSuGC4lsOhULxePz8+fMQYrx+/brH4yGisDKZjCgGeErAbVlRUQGV\nkVarlSBnDodj//798ERPTk4S7Szw/MLN4PF4nvX5fT68WGvU2traZ/JJA9hstrGxMblcnkql\nZDLZuXPnipG8InAU74YiEEIoHo/PzMyAu2VXVxdBpMB83W63UxTV2NhYKHi7tbW1tLSUTqf1\nen1PT88zyYLk8/n5+Xnwim1qasLns68E8DmQr2NZtlDHLhaL3b17FxJhYHuPj9I07fF4rly5\nAk2mxMI3HA5bLJZXXnkFIky9vb1NTU1Eqtfn812/fl0gEED4itg4X8yUzWYLV9XBYHB2dhYi\ndoSgP78pvnugMHfT29sLJqFisfjcuXM4b4Z6PpxK4oX2MAckEokPP/wQcnOFU8va2prZbM7n\n89XV1V1dXfgbYrEY7Ayfq8UnYzjM+fn5SCQikUhyuRyRqO3o6Lh+/fr169fhzUT+uqysrKqq\n6v79++ixrgeespRIJEql8ubNm/AvRVGFfGJrawv6VGprawm5EwCfD0WPRYn5jSOExsbGRkdH\nIR1MnBaGYVwul8ViAfniwpM2MjJit9vhgydOnMD5JbxZqVRCMCwUChH3QzqdhpYXmqbz+Tyh\nbpNMJhmGmZ2d5evMMpkM/pTZ7faxsbF8Pg+aQYQCX3t7+7179+Ba0zRNnDS1Wg3OcsDqCO87\neMQePnwYDocVCgWodhee1eeDTCajKGpiYmJiYgL2jVjn0DTN312FX03TtM/n+/DDD1mWlUgk\nz/H87oJkMok3MQCWl5eJS1MIoM5Go1Eikeh0Or1e39bW9u67775Aa9SZmZnOzs7W1tZsNtvb\n22uxWH57DD+K+G1AkdgVgTiOGxgYkEqlPT09Xq93YGDgwoULeOn3wsKC1Wrt6OjI5XILCwtC\noRDPBPn9/uHh4dbWVpVKtbq6Ojo6SpTC7I65uTmHw9He3p7NZufn54VCIREP4DjO5XJlMpmy\nsjLCskaj0Wg0mr6+vqqqKo/HU6hjd+fOHcjhptPpQCAwMDCAi9WBkohAIBCJRFBphC/3Y7EY\n5A3hi8RicSwWwycGhmEgewXqa0RcsK6urq+vb2xsDBxXidxZJpN58OAB8OCtra2BgYGLFy/y\ny27YDaAIwKKIFfnAwEAwGFQqleCOeufOnbfffpsflUgkHMcpFIrS0lLIneH5cZgCWZYVCARQ\n6EZ0CWxubs7Pz3d0dAiFQiiV6+np4Udx26tMJsOXrPHnRCKRbG9vV1RUgIUuMZ8NDg7mcjnY\nh0QiMTg4iAtYxONxl8sFscbt7e319XVc1wM9bulFj6X+vF4vHiqGSIZerwe6kMvl8G5imPih\ntA4oHR4OBAIKZX9AJghKKpFIICmJECoMDK+trfFtDZFIZGBg4Pvf/z6+cZqmofcTNGII0smy\nbDabhV6fWCxGLI2kUmk+n4coHZwBnKnn8/nh4WGapg0GQyAQWFtb0+l0+O719/dzHCcSiViW\nzeVyd+7cuXTpEj8KkWaapimKgvsBZ40KhYJhGL/fX15e7vP5crncs1ZT7AJQ4GMYBnqQ0+k0\nkYKEqsdoNJpOp+12++nTp/FRjuPg3pZIJKFQCJgxP/qVzy9gx1YGaE19mv2vq6srKysrKSl5\n5ZVXmpqa8FaGXC4XDAaFQuELPGOw2VQqBX1gcIBfmfAt4vcNRWJXBIpEIpFI5OzZs2KxuKam\nxuv1ejweQnuso6MDXgHXS3zU4XAYDAYQyFUqlVB5Vmg99CQ4HI7Ozk4gc4lEwuFw4MQul8vd\nv38/Go2KRKJUKnX06FHcwpym6VOnTi0vL3u9XrVaffToUYIAZTKZiooKIHNXr14lsqU+nw+s\nI7LZrFgsDgaDeMxPo9GAaXpNTc3W1hbo8uMfp2laIpEkk0nQ5iC+WqfTnTp1ymw2B4PBjo4O\ngjz5fD6WZY8ePUpRVHV19ccff+z3+/mmXT64wnM7IkUFdVEXL15ECA0MDBCTEBhPGQwGkP+w\nWCyRSASnApcvX7516xaIltXW1nZ3dxNXpL6+HmIANE0vLCzgxA4q2MrLy2GvgsEgnCIYzWaz\nqVSqsbExEoloNBqhUBgMBnGSEQgEKIqCvBVBChFCbrdbKpVC/006nb527RpENGEUxF9Aao6i\nqCtXrqyvr+PVgWazmabpQCAAHM5sNuPEji9T40+mx+PhCRZ4YIhEItDTyeVyxN0C1nDACGtr\nawldD7Av468Ux3GQKIRRkDsRCoUg0CORSIjJmGEYoVAIl1skEhHBJ6hrhDsBGG06neYvKAQg\nz549C0z0/fffX1tbw885GHXw2yQy7xAVfuWVV1Qq1b1798Cmjyd2YP7W1NQUCoUqKytdLpff\n739REsRwRerr60OhUFVV1dbWFii28G9ob28Xi8VgCXjq1Cli2QZFZjqdDpqf3G43Xu5Z+Pwi\nhED+EMeztjKAuRZUr/7gBz+Am/njjz8+efIk0XQPdb0v5EQRm1UoFOvr6z09PSBqjYuTF1EE\nKhK7ItDjSEYulxOLxZDZJOYVhmH4uRAmCeLj+Ci/waf/9l02brFYMpnM5cuXRSLR0tLS9PQ0\nTuzgI8lkEhStdnRKCIVCt27dgqmaSOXAwho6bQcHByGzyUMul7e1tfG5uZaWFmI+o2larVYL\nBAKgdIVHvYuuPZC2eDyeSqUgwLbjSeMJEMEaeW6EvpwJ5fccfBEUCoXf7wc5CfwNEonkrbfe\n2nHH0FddEfgXVNzgBOJ1cjAKVwS0dolzDpz1jTfeoGn66tWrxCUD7gLhK9gH/OOwWsA7D4jT\nEovFJBLJa6+9RlFUb28vwWBg/q6vr8/lcvF4HCgmfk4QQmBMJ5PJPB5PYSpWoVBAj/D8/DyR\nkoO9vXTpklQqHRwcdDqd+NoGvkipVLa2tvp8vrW1NUJzRCaTpVIpoJISiYS4XtAm3NbWBqsI\nk8mEcxE+t15aWgqvF/bM0jT9xhtvsCz70UcfEb2x8Gjcvn2bP9v4nsONmkgkUqkUXJ0XmIqF\njXd0dIhEonw+b7fbC5/QpqYmYlGEfxw9fn5nZ2d5ZUG+lWFxcfEf//EfPR4PLFYLa0kJ8Nao\nALDu1ev1zc3NHR0d+L653e6HDx9CFw6EOb/NDobDhw8PDQ2BzUl1dfVvVTtwEb8NKBK7IpBS\nqSwrKxsYGKipqdne3uY4jtAeq6+vX1hYSCaTuVxuY2ODaB2tra1dXV19+PChWq1eX19/1nLg\n+vp6mCaz2ezm5ibh6xWNRktLS0GFpKKiYmFhARcoBsMxmUy2Z88el8vV39//2muv4ZIlkC3N\n5XJQd08sqZuamhYXFz/66CNIxRI2mrDchzxLMBi02Wzt7e34nCeVSl0ul16vB/dPgnHujrKy\nMoFAwAtYSCQSPPHHMAxMoqCdATIT+Mfr6urMZvPVq1dpmk6lUkSGuqysrKKi4tatW2q1OhQK\nNTY2PlPnSn19/cDAAE3TQqHQYrFAcwmP7u5uYLroMUvDAwaQinW5XBAvjMfjRHINMteffPIJ\nwzBgqoaPVlRUTE9PQ/EfTdMajYaoHRQIBKurq5ubmyDeQewbTdPJZHJ9fZ2iqHg8TmzcYDDE\nYrHNzU25XA4BMzxNXFpaSlFUKBQSiUQQjSOy5/X19ZOTk8BE19fXcY1fhFBZWZnNZvvss8/E\nYjFwPpzvAgtPpVJms7nQ3QEh1NjYODMzU1NTA6E+Qo+6oaFhdHTUbrdrtdrNzU2BQICvMerr\n6ycmJoaHh2dmZiACSoRgKYrK5XIff/wxuIoRbLizs3N8fBz+BqaC77lSqWQYxuPxGAwGcBB+\ngYlF8G3r7++vqqoCc+Rn6l1taWm5f//+z372s2AwuLa2FgqFfvnLX76oVga32z04ONjS0gJu\nH9lsFr/iZWVlUqm0v7+/oqLC6XRC2cNznIHng06ne/3110OhkFgsfoEGbkX8m0GR2BWBEEIn\nTpxYXl72eDxyufzAgQNEiU9LS4tQKLTZbKBTRZAMpVJ59uzZ1dXV7e3tHVsrdkdraytI+DIM\nc/LkSaKlsaSkZHFxMR6Py2Syzc1NhUKBT0vBYDCRSLz66qsCgaC+vv6TTz7xer04wRIKhXy2\nVC6XEwliUFUFXwq1Wk3Invn9/lQq9dprr0FnxrVr13w+H0554/F4bW1tIpFQKBQSiYQwKtgd\nEALh6VE6nYYGNxgFwgRRHJqmwQAU//j+/ftzuRzInpWUlBAtCAihEydOOJ3OaDTa1dX1rLLM\n5eXlJ0+etFgssVisu7u7UFmDr/zjj4W/YaAAqL6+HmRKRCJRMBjEr0hNTc3m5iakLEUiEdFM\nDSwcPBKg95bQUtm3b9/ExASk1dRqNa6NjBAyGAwej2d1dRVKyoiCqqqqqo2NDeB8cBfhk2Iy\nmeQ4DuwNQGeOyNCBFxMI4R46dIj4aqPRCN1FyWQSir1wtg10IZFIAOeD9gv8442NjQzD2Gw2\niqKOHDlCFPDV1taGQiGTyRQMBiUSCbH4QQi1tbUtLS1BlFSv1xMkA8rjgJIyDEMEeAjtRuLZ\nB3NeyK1DKjYQCLwoMgGlFEtLSx6PR6VSFZZS8EilUk6nk8iirqysfGUQDloZ6uvrGYY5dOjQ\n3r17GxoaCqPvhbDb7UajESiyVCqdmJjAiR3DMGfOnIE912q17e3t37LmiEAgeCZB0CJ+r1Ak\ndkUghJBIJCKcxQnsIoeLENJqtc8kTIoDOm2JEAX+vU6n88aNGzRNCwQCQqAYYeq78EdhEqqz\nsxPqqMbGxgoFWsEr9kk7xr+/UOMX3gBKDQih4eHhrzxSHCB78dJLL5WXlzudzsHBQbfbjVMo\niqL2798PDRmDg4OFWzh8+PDuynZPEnl5GlRUVBQ6RgCgKxaMaM1m89TUVGEGPBwOR6NRgUDA\nMAxxRTo6OpxOJ4TTKIrCq/cQQtvb20qlElQJS0pKVldXw+Ewz884jpudne3o6Ghvb4/FYnfu\n3LHZbHgXQldXl9/vh3ibXC4nbuny8vK6urr19XXIAB46dAgP0MJ+lpSUhMNhqVRaGE2E9/Ad\nGMRQVVVVbW3t5uYmvIEQKAa+IhAIWlpaHA4HnB9iC3V1dUTbEI69e/d2d3dDRI0YymazKysr\nBw8ebGhoCAQC9+/f93q9eOirp6fnwYMHkDFUKpVEVywUJl68eFEul09MTKyvrxcac3V2dkKd\nxqeffvpiTQ7EYjH+AOKtDIS51lduigjCabVaj8fz05/+FLKl165dO3bs2JPu6h2BP/6Fo1Kp\nlIjaFlHEbwmKxK6IbwPQ6yeTyZ6+qQJA0/RLL70UDAYzmYxWqyU+rtVqlUrlwMCA0Wh0uVwM\nwxCpnNra2pmZmXA4nMlkbDbbyZMnC78ilUpls1mFQlHonSWTyfr6+tRqdTQaFYvFRCl0bW3t\n9PR0IBDIZrNbW1tEy97uG+e1/h0OB9ALPD5EUVRNTc3k5CTIPrtcLiKaCAgGg9lsVqfTPUe0\nIJPJOBwOlUr1pBTSkzYO4ajl5WW1Wu3xeIhPAZkDkTYoIyOU6sD5DeKyPp/P5XLhAjcMw0Cj\nDBiyoS8HkJLJZCaTMRqNoKVSaEQrkUheffXVQCDAcRw0ohK7d/DgwT179sTj8ZKSEiI0BQom\nbrdbIBBA6ItIIm9ubo6Pj0McbmRkhGVZorP18OHD4LtVW1tLJMfhRNXV1YGicjwef6b4LgAa\nUxQKBXFc0WiUZdnq6upwOKxUKpVKZSgUwh8EpVJ54cIFaEGorKwkbkUom4NoMRwynseExvMH\nDx6Ul5dDr0NhAJhlWZ/PJxQKn15MBGGCcGtra0tLSy6Xa3Nzkzey2wUlJSXQwYDTuLa2Nrw9\nCI7r1q1bDx480Ol0gUCg8PndHbW1tf39/WKxWCqVmkymHaVzdgfHcdCZW6jZXkQR3yiKxK6I\nbxwOh2N8fDyTyTAM09XV1dLS8qxbeNKEAamchYWFjY0NlUp15swZgvk1NDRYrVYwgy8tLSVo\nH8dx4+PjkFxTKpXHjx/H53KGYbRarc1mA5pSXV1NBEsaGhrsdvvq6ipCqKysjJg2OI4bHR0F\ndqJSqU6cOIFnf8ArlndDQggROWjwUoM9NxgMBP3K5XI3b96EZklw/nimSWtpaWlhYQH+FgqF\n77zzDj6ayWQ+//xzqNYSCASnT58mFIYRQm632+VyQdQNr1QDaWV8axaLBQ/Hrq+vS6VSqHOX\nyWSECDBCCFxueQtdnGRIpVKGYe7cuQPhNJqmC53WaJrePUUF1KfwdV6fj9//jY0NnMSsrKzA\nVA3/Li8vE5P93bt34VaBPmL8Poers7Gxkc/ng8Egy7LP5JiMHnuqchwnlUqPHTuGHyMsG27c\nuMHLJRaahQwNDQUCAYRQeXn58ePH8Tu5srLS7/ffunULnHahSpIfpSiqubl5amoqGAxCCxFB\niP1+f39/P5w06Fwhon2ZTGZra4vIoprNZoKUF4JoZeDxlPQRdDFnZ2eh+b2zs/OZVHz1ev2J\nEyfW1tb8fn9TU1OhGPXuCIfDDx8+hLhsXV3doUOHinauRXxrKBK7Ir5ZZLPZ0dHR1tbWxsZG\nt9sNMmNE/bXP54Mau/r6+mc1qJDJZLtkJKenpzUazcGDB9Pp9ODgoMlkwn+gNzY2XC7Xyy+/\nLJfLp6enx8fHcQVjaJgAhV7w8dze3sb509TUlFwur6ys5DjO6XQSHMVsNnu93ldeeUUikUxN\nTU1MTOBRNz59yaumEXxocnJSr9fv27cvHo8PDQ1tbGzgidrh4eFUKnXkyBGFQjE4OPjw4cNd\nulwLsbCwACK64Grf39+PhxuHhobS6fSxY8ckEsnQ0NDDhw/feOMNflQkEkHKWyKRQKckntAE\nOigUCl9++WWPxzMzM0PoeoTD4Vwud+HCBYZhHjx4ANyUB7y5trYW2iDcbjee5wXNs2w2C4az\nICDy9Ee9O+CraZo+evSoyWTy+XxEPDIWiwkEgvPnzyOEwPoTH11ZWfH7/e3t7UajcWRkZHZ2\ntqmpiQ+tiUQiUInj25kL416BQACq9GprawnaB3fXSy+9pNFoFhYWRkZGLl++zI+ClEk2m5VK\npRBrJKjVzMwMTdOXLl3K5/MPHz5cXl7G+10gOxwIBKBejXiastns9PR0W1sb//zW1tbiz+/Q\n0BD4/qVSqbt37/7qV7/SaDTP6sqg0WjKy8vhUe3q6sJbGba3tyGq3dDQQMRBd0cymZybm+vp\n6QG5k+npaaPR+ExbqKysfO56hvHxcbVafebMmR2f3yKK+EZRJHZFfLMIhUL5fL61tZWm6dra\n2qWlpUAggE8MNpttdHS0vLw8k8mYTKZz5869wLY7n8939OhRmUwmk8mMRiPh4wTNEBD8gA47\nvFQfhM2gqu/o0aNgD8oTO47jQFZNLBanUqlMJuN2u3Fi5/P5qqqqQB+1ubl5YGAALwF0OBwg\nHgY6bb29vQ6Hgw9FsCwbDAZ7enqkUqlUKq2oqPD5fPjEEAqFNBoNRIwaGxtBRvgpAYykra2t\nvLy8vLx8Y2OD0HmJRCKlpaUQDKuvr4eQJA+onT98+HAsFoM9D4fDfAAJpnDonoYQEZE3BH7j\n9XoFAgHoG+OjUJMnFAr1ej2oOeCcAFKxZ8+eBVla4FJEK89zA/KMDMPwrRWFdIRlWWgbJ7Ss\nEUIej0coFIIYyuHDh3t7e30+Hx8hjkajHMedOHHC7XZDljkYDOLczuVyDQ4O6vV6lmVXV1fP\nnj2Lx+R8Pl9ZWRnEdFtbW9fX13HDVuhvuHDhQigUksvlU1NTfr8fNzfz+/1dXV2wZKqtrSUI\nK/h/eL3edDqt0+mIhOaOz69EIuFbGT777LNEIvGnf/qnT9/KwMfe4Nn5oz/6IwgxXrlypaGh\nAS9c29jYmJiYKC8vT6fTa2trILa3+1fwCAaDDMPAI9nY2LiwsECI5H1z+Mrnt4givlEUiV0R\n3yxkMhnHceDtnUwmCQdxhNDy8jKUwyOEhoaGTCbT07vdP823z8/Pj4yMQO0XUTotk8mcTieQ\nOajCwVkIJOzcbnd5eTkIjOGTCrRWVFRUnDx5kuO4q1evElq7MpnM5/MBmQsEAlKpFKcCKpUK\nZN5qa2udTidR0UXTNDh46nQ6lmVBGxbfuEgkikQi165dgwKpwmKyTCaztrYWjUY1Gg1hzQ4T\nvNPpbG9vh8wpkZoEHV3gLl6vnIfiYwAAIABJREFUlxCvkUql8XgcSLBAIOA4DqcCcIo4jltb\nW4NXiMRZaWlpMBiErKJMJiOyY2q1Gkr07HY77Cc+E8MFSiaTNTU1uVwO+jTRs2Bra2t+fj4e\nj+t0ugMHDhDJ8bm5uVwuNzs7C1eq0P4hkUjMz8/z/+KjIH0H6UW73Y6+fLfAmxmGOXDgQCaT\nWVpaIvjTyspKc3MztJKMjY2trKzg9aAymQyKzwQCAcgv4/sGm0qn07W1tel0GlrIiX2Dyj+E\nUCAQIEYRQhRFGQyGwt6jXC4Hxlx///d/v729bTKZJiYmwuGwzWbbsZ8Ax456ItBZzL8H2oag\nNBAqI4lbcXl5ubu7GxrtHzx4sLa29vT9CtABE41GlUplLBbLZDKFB/4N4Suf3yKK+EZRJHZF\nfLOQy+WNjY19fX1arTYcDmu1WqKYLJ1Og1kTwzC8r/yLglgs3t7eBo9LsOnER5uamjY2Nj77\n7DOpVBoIBAiP8Nra2vn5+QcPHoCYnFQqxdfcMAs6nc6bN29ms1mWZYlpo6WlxWq1grBZMBg8\ncuQIPtrQ0LC4uNjf3w/2VhBQxN/Q1dU1MTFht9tBhoMoRKusrFxeXgZKWmjElM/ngXhB3Mvl\ncp05cwafs7VabSAQ+OCDDyAoBU4PPA4cONDf3//BBx/Av0R1ERjjIoTkcjk0t+LkjKbpyspK\noKoIIYqiiLPa1tZ29+5dgUBA03QkEiGUOyorKzUaTTgclkgkwWCwubkZr/eCSqnR0dHFxUW4\nbQrbSHO5nMfjAc1CIlEbDodHRkZqamqqqqoCgcDg4CBIGcOoWq0WiUQQRISdJ5zxjhw5cv/+\nfV5YmFh+7N2712q13rp1C/7VaDT4notEotbW1sHBwdLS0kgkIpfLCdXDVCrFcxqVSgXRYh4g\nW3j9+nXwxerq6sLpkUQigZAwPGJqtZpYwHR0dAwMDIAhWCqVOnfuHHHSzGbz6Ojo1tYWyOvw\nJXFP08ogFos1Go3BYAA57rNnz+7bt6+wlWFHVFZWSqVSvqNcIBAQWsTpdJo/LUql8it9WnGU\nlJQYjcbe3t6SkhKgVt+m1Nzuz28RRXyjKBK7Ir5xHDhwoLKyMhAINDY2Go1GIiqg0WgmJydB\nNoxlWdwh6usjHA739PSASEQoFCJSsVDrbbVas9nsvn378OwV4PLly7Ozs4FAoKSkpFD0VaPR\ngJAeiKEQnRlSqRQ2nsvlDh48WJhffv311+fm5oLBoFarLdSaqa+vh7ZToVBYW1tLcJRoNFpT\nUwMODSUlJYQYhNfrjcfjb7zxhlAoTCaTn376aSgUwiNnr7zyytzcnN1uF4vFhw8fJtJbfr8f\nyA3IghD9m5ubmxRFQSpWoVAAIcApL14lCQZZ+MeFQqFQKAQhOoZhiKgY2G0FAgGYDgsTZxD6\nSqVSYFpKhCrj8fi9e/dyuRx0dZw9exY/NLfbDVpxkAGETgg8RPT2228PDQ1Bg+epU6eIck+d\nTnfp0iWIxhVWa0FeHj1WQonH40QArLu7GzR+6+vra2pqiD3X6/Vra2tqtZplWYvFQojkQQQI\n8rkURRHBQoTQvn37Kioq/H5/Q0OD0WgkNm4wGKArFvxkfT7f2NgYXwO3urpqNpu/kjNBR21L\nSwvurNXQ0ABmzZCelkqlUFS6+6Z4wIoIHg2KosATFj86vV6/vLwMJZWgEP6UWwYcO3Zsa2sr\nHA43NTU9k37418fuz28RRXyjKBK7Ir4N7KKLBo7joNYLIZMX+L2QgYX+xIcPHxb+vEYiEdBu\nBbGGws61XeT9wGEWghxCoZBIxSKERCLRLit1mqYJFTcCWq22kGsCwD8N6v/MZjNxXHA48CKk\nLwul5rq7uwmqymNjY0MsFl+6dIlhmL6+Pt6piT8oyEGLRCLwjSUm8rW1NYPBcPr06XA4fPv2\n7YmJCTwiuLi4CLbowEpnZ2fxvg1otn311VehEG10dLSuro6nhhzHTU1N7d27t6WlJZlM3r59\n22az4UG7hYUFlUp18uRJiqKGh4fn5ubwhGY8Hoe+DZVKtbi4uLi4WHjsJ06c2PGcAORy+ZO6\nI9fX16FlVaPReDweSAISjNlgMDxJLLq7u7uvr+/evXsURel0OoLBWK3WSCRy+fJlkN6Ympqq\nqakh7lWomMRf4fVEvo41Ko+ampodu0rv3btXXV196NChfD7f19e3vLz8JGHIQoCkzptvvgnH\n8umnn25vb+Ok9sCBAyMjI3fu3KEoqqGh4UneYrugurr6W6Z0PHZ5foso4htFkdgV8QXS6TS0\n7+04mkgkBAIBEYDhAZ6tu+i5R6NRuVxeWA0Wj8cPHDhgMBhoml5aWiIK+QGZTAa0x5608VQq\nJRaLC/e8ubl5ZmbG4XCA1BahBhcKhe7fv19VVaVSqRYWFmKx2I5Ma3JysrCyB5xeX3rppZKS\nEoFAUNj+ye9YJBLZxShpa2trl4nH6/WqVKrCEEhDQ8P9+/fB+MvtdkPNPo+ysjLgTJWVlZub\nm08SGAsGg3K5vPCCWq3ywUHjX/0Vlc3m/P5DiUT2f/wPxAd0OK47kWj64z+OU1SC4wQi0StV\nVSVw4tVqxLI5l+toRYXuV7/KMozSbj+sUHAwHTMMUqmQyaRKpURicU4gYBFCAgHj9T7aslSK\nfL6cx1OnVCoYJqxSVVssq+PjyYqKR3soFKZCISqTkd+9O1pVpS4pKSGiidFo1Gg0QqdtRUUF\niMXwgHt7bGwM1PLQl7UDebjdbp1O9yRpDKiiKxQrgb6Bl19+GUJuJpNpxyWK3W4vLy8vXGDY\n7fZIJFJbW8uyrMPhcLlc+F0RjUa1Wi1FUS6Xq6qqamZmJplM8rlO3pVhaWnJ4XBsbGxAHG7H\nG5I4IdXV1QaDoaSk5NixY3q9HkwFf/jDHxY+p+l0ulBuGvYNeLZAIDAYDM/0/AqFQpZlofdI\nIpHAggR/g0QiOXPmDDgOP0mskWVZcDF50mFCevpJo2A08twbB6/nJ43+KwISIM8dKUyn00Kh\n8Fu20yjiRaFI7IpACKHt7e2xsbF4PC4UCsF1Bx8FlX+YqORy+YULF4hpr7+/H1rtGIY5duwY\nUSlsMplmZ2chi1RfX3/w4EF8VK1W2+32ysrKXC4HHqPEvn366ae8KMahQ4cIAwy32z0+Pp5M\nJkHCvjCHxbIs71hPRFA2Nzf1ej14Zmi12omJib179+JT14cffghzv8VioSjq+9//Pj9EUZRa\nrbbZbHq9Pp1Ou91uot4rl8tBcwP8C8YA+Bt6e3v5WVCn0xG2YGazeXp6GrJ7AoHgO9/5Dj4K\nWUiXy8XvCT4KmvhTU1Orq6uQbCV+3zc2Nnh7UKlUCmomNhv6539Gv/kNmp098/iNDEKFEwOF\nkByhLxKRX6ZPAoTwYsFCWVdSxfDnP8f/q0YICA0c0fkvv1eK0NsIIYSgE7YVIaRQIDg4hkFi\n8UtQEyYS5YTCEqHw1H//74jPgVNUczT66ETJ5VmKQnfuqMVixOdUo1FHKORHCDGMR6l8FKzl\nt59KJdbWJuCKiMX5l146DLlaoCuRiC4YTP/Lv9yG+0cmowg28ODBAz72KRKJ3n77bXzUbDZT\nFGW1WhFCAoHAbDbjxE6tVptMpk8++SQej3s8nu3t7fX1dSBw8MdXtjLI5XIogzMYDOfOnWtr\na+NbGRKJxGeffQZ1k9CPQkznXq93bGwskUiIRKKenh7iPlcoFCDXjBBiGKbQQmaX5xe8gD/9\n9FP4VywW77gE2oWdzM7Orq2tsSxbWlp69OhRIj++sLDAN4zv2bOHiL4nEomRkRGfz0dRVFNT\nU09PD/7scxw3MzNjNps5jtPpdNBcj398a2trcnISaj0PHjz429MewbLs5OTk5uYmVJoePXqU\nKHjYHZFIZGRkJBQKMQzT1tb2Ymtjivh2UCR2RSBQt6qurm5ubvZ6vZOTk1qtFq8JAz+igwcP\nQs/g0NAQnj5bWFjweDwVFRUymWxra2t4ePi73/0uP5pKpWZmZjQaTWdnJ0xF1dXVeM4I/I7A\noVytVhO27gMDA8lksrKyUqfTLS4uTk5O4hNDJpMZHh5uaGgA57GxsbHS0lL8x31mZobjuOrq\n6kQiEQgErl+/jovx4mtxkUgEFun8j/vk5CTQMrCZYll2bGwML5nfv3//4ODgRx99xLKsVqsl\nhJdv376dz+f1er1SqbRYLBMTEzixA8ELkUjU1NQEqmnQfsu/YWpqCrRh/X5/IBD4/PPPX3vt\nNX707t27uVyurKxMJBI5nc6hoSH8nOeyWcf77x+6d698YECwkwJFjVhcJRBAG0Q+zyVZJpej\nFTnqe0jzvcfvEQhYmuYQQllaxElVFIVgus9kcvk8iygqJijJ5TiEkFAoYFkaqEUGiYKZR7NI\nPk9xHFS7Ud6MhkNksIdFdBjtEEqJI3kG7RAjCaId4o6ZmCiOdtCwCCM1i75EUDiEBEiSRFKE\nUOjRBh8R6xhSZB9R2C/q6m4gawQR4hpdCKEEkqVR4Uy5H6H9hbshEj0ijpnMUak0JxRSLMvS\nNPvf/lvscdsvEomQ19tDUVxVlQJayAWCrF7vi0QikUgknfb4fNvxeDwaDebzsONChKC7ogGh\nOoR4pd+kQJBTKpVVVVUtLWVVVVVVVVX19ZV2+6pIJNJoNBJJJhYL0zR99OgrfAEh0DKJRCIS\niaLRKFGHmsvlHj58WFtbCzp2ExMTpaWleGA+Ho9DEw/Lsvl8noih7v78xuPxeDwulUoVCkUy\nmYzFYoFA4Omltq1W6/r6+rFjx+Ry+ezs7NjYGB6SD4fDS0tLKpWqrKwsEAisrq7W1NTgUcOJ\niQmKos6fP59KpUZHR9VqNf6EbmxsWK3WkydPSiSSmZmZiYkJvJkmmUyOjo62tbVVV1dbrdaR\nkZHXX3/9mfhTLpdzOBz5fL68vPzFtuuaTCaXy3Xq1CmhUDg1NTU9PU10R+2OkZERuVx+5MiR\nSCQyNjam0Wh+ezhrEU+JIrErAkUikXQ6vXfvXoFAoFKpLBbL9vY2Tuzi8Xh9fT386jmdTiLb\n4nQ6aZr2+XxSqTSTyUBNOl94Dv19L7/8MhRff/DBB1arFWcwGo3m0qVLPp+PYRidTkfkeuB1\nqJTK5/OLi4v4xkHEv7u7G6JxZrPZ5/PhxI7jOJVKBbVoV65cIUrNqqqqhoaGVlZW5HL50tJS\nRUUFHqvY2NhACP3gBz+Af99//3273Y4Tu9LS0kuXLvn9foFAUFpaSux5IpGgafrMmTMIoVgs\n5vF4QK4CRk0mE0IIwjadnZ3vv//+0tISf1qgXK+qqgrKlT744AMirRaNRimKikQiQqEQlOEe\nDdhs6Ne/Rv/3/x7f2EBPBpNOM+k0Qoj+8k+AFgW++AfvhiSrB4vYAYVUEiGUzogTmcfT9mOO\nzSEq5NpBrDE7K4yhHQS6o0iZK/itziMmglQI0egLvluCcigVlCSDYrQQQSiC0DLcBzmEHBgt\n/tMfLcMfCSRjhUKaZhlGQNNIKMzl8/mZP/r/srISRkgjhFg2z7KxeXUGITMtFvrT7PRf9Esk\nEoUCwf3u9YZkep1IrqIoKpn0LeY9Gx9MMgySyVBGXrK4GBaJhIoDlRGEIp7yYNB2O7EpVqml\nUiQSIbvd5rAI3nzzuForLK1XXblyxWazPT2x83q9QF4RQu3t7X19fbgOJbS5xGIxaMtACNls\nNtx3eHt7+8SJE/CK0Wj0er04sfN6vUajESqD29rahoaG8FUfPPUQzerq6gKDiqcnQKlU6s6d\nO/l8XigUTk9Pnzx58knFl88Br9dbV1cHG9yzZ8/09PTTfzaTyYRCoSNHjqjVarVabbVavV5v\nkdj9zqFI7Ip4pNcViUS0Wm02mwX1V/wNDMPwC3HQ38dHWZZlWfby5csSiaSvr8/r9eJ9bbC4\nHxkZyeVyYrGYZdnCVkeBQEDUffMQiUSJRGJwcDCfz0MZE75xsVicz+cnJiZAu2vHepdYLNbf\n3y8UCgtluioqKvbv37+yspLNZisqKogCOxBsAzEUYISEohvHcZubm06nUygUNjc3ExMS7zGA\nEIKzh583kBa7fv16NpuF1/E0MRwFSObCFxUWu3Acd/nyZYZhrl69movH0W9+g/7u71BfH2LZ\nR18jFKJLl2JdXevr6zU1NRqJBCWT+TyyWLixsajbrcznKYSQGoVpxCoUqLERNTWh0lK0vr5O\nsaw4nUYIQRTzCymWaHTb5eKnT2gHlotEOBmBSKRQKKSTyXQ0SlhUpVIpGvOSAjliGEBfdqH4\nnYMafYVH1m8pyL4ahBBC/p1efG78Pfb3//vFn4+et//n0b/fRwUQi9GO0Sy1GtH03kwmn88j\nqRQhpMlmL7Is/Wd/9uhTOl21UMhwnL69vbS1dVsk6v/yoo6iKGg0hl+eaDRK1DOIxWLe9Ays\novFfD7FYDNa9EokkkUjk8/lnqrRbWVmRSCRnz55lGGZmZmZ2dvbVV199+o/vDolEwotGwZ4/\n/WeFQiH82qvValii727QV8RvJ4rErggkk8nA8dpgMICULrFEa2xsXF1dvXbtGnQyEgpeUMMO\nIltQTJPL5XgOVFZWxjAMeFCCpVJhFc4uaG1tnZycdDqdIMABvzv8qEqlEgqFm5ubSqUS3EWJ\nNjT4Uq/XC0VIhUtPSOOyLEuQNoTQmTNnbty4EYvF+GgZbjiGEJqfn19fX6+rq0un0/39/WfP\nnsWFsjo7O2dnZ99//334l6CzPT09W1tboDEBrJFogJBIJLFY7MqVK7DnRKchGL1/9NFHKre7\n7fbtuv5+hOn/pdvalg8fZt97r6y93Wq1Op3OkmMnJ02V//RP6MMP0WO6CNtJHztm/4//UfvG\nG1p+2pq7ehUv/KcoyogVF7rm5oimhNOnTyuweMPIzZsQUIQ9v3DhggSbMhOBwL1792AWTCaT\nx48fx60jrFbr6OgoelwciRD6zquvCrACsqtXryKEqFxOkEohhMCqjh8dvncv9thkFiEklUpP\nnjyJ8nkUiSCEvF7v8vIyP8qk0ye/rLE3PDyMOE74OHnd1NT0Rdw6mzVNTUEkFQ5NKpU2Nzej\ncBixLEIolUqB6TDHccl4nAuFZDJZNBqFdGo4HM5ms8qdfnDpx+WEwHFFIpFIJFIqlVqxWMow\nYrGYYRhoPoD3CxJJlOfkchlCiGURxyGEuHQkIsikEaJAYJHvcmCSMTq/I3H7HUE6jdLpHV4P\nBhH6UrZeCNWgmP6fBiENQuijjxBCZQi9oVSm33sP/ef/jB6XTLS1tU1NTbnd7lQqFYvFiNrf\n5ubm3t7e3t5eiUTidrv37/9Snl2n05WWlt6+fVun021vb0MDytMfFhAm+M3R6/WEXNHXREtL\ny927d+/evSsUCj0eD6GguTsoitqzZ8/Y2JjNZotGo5lMhqhpLuJ3AkViVwRCCB0+fBjc7kGn\nimA5e/fuVSqV6+vrNE23t7cT0TWDweByuVQqFe9Wia8Rwe8I5kIot/L5fLgYL8uyi4uLdrtd\nIBA0NjYStC8ej2s0mlwul81mVSoVyNPzS+dQKJTL5Xp6eqLRKEj+bm9v4+wN5sVYLMYwjEKh\nKKzCXlhYWF1dhWK4w4cP48UukEsFekHTNEVR8Xgc1zazWCwcx0FSFfglTuz27NkjFAqhyK+8\nvJzQ0Sj8KbdaraCwD3jzzTf7+/tBUu7AgQNEU0hVWZnm1q26W7f0S0uI5z1lZeiHP0Q/+lGq\nrs5065aK47ampzc39bdv7/tP/6kCFy1RKLj9+20nTti6utxlZSWvvPIlFQnwnIB7gOM4onUU\nyKhIJAL6DiFe/A3QTweG9AzD+Hw+PBai1WovXLgA/qHV1dWEZizEJiEGDK+kBAL+nCcSiYxc\nDm9Iq9U0TTslkkY8fTY/z5SXg6aaQCCIptMIa2eOWiwhuRyqBcCiN/H66/wVT6fTdo5TKpXQ\nQsQwjHrPHg2mVuO4f5+vIVOpVAzD6Hp6eBmR6enpVavV6/W6XK6naWWoqanp7OwEJRF1Q0ND\nQwNFUWazOUvTxtZWwidtfWVlY2MjnU7n83mFQhGJRN5++22hUAhR3Fgs9tlnn8FpgQu3f/9+\nvMXh+vXrFEUlEgnosxFT1CnstKysrDgcjnQ6jWIxpUQSi8VeffVV/heAzWQGb97M5XL5fB6e\nghMnTojFYpRO853STqfT7XZDa5Sa5fgG6kwGbW46IpEIymazwaRIJE6lko2NezKZR89v3h/K\n5/KBQGB7m3K7FR6POJ9HApRTokerFJEI1dSg+npUX49KBFFUoJacy+USDgfUCH4RMwsEkNfL\nbW+j7W3q8d0rjkbFv/gF+uUv0Zkz6Cc/Qe+809jYqFQqnU4nyLsQhW4KheLChQvr6+u5XG7P\nnj1EVwdFUadPn15fX49EIp2dnfX19U8SE9gRJSUlVqu1ublZLBZvbm4+Eyn8Smg0mgsXLmxs\nbIAs6LOG3Do7O7Varcfj0Wq1YPv2AvetiG8HRWJXBEIIgfU4mA7tCJiBdhyqra11u902mw0h\nJBKJoKCNB/CAo0ePGo3GSCRy69atYDCIE7v5+XmQHs1kMjMzM0KhECcx+XxeLpcDK9re3oYy\nGn7WAcpYVlYmkUgUCgXE5/Bvz+fzHR0dIOpmt9uJGjubzWYymQ4dOiSXy+fm5sbHx/GmENj4\nq6++GolEVCrV/fv3iY3ncjmapg8cOBCLxVZXVwkLzt1PGqRZW1tbjUbj+vq6xWIp1Ik4evTo\n9va2SCT6UpLXbEa//GXr3/0dwxe5U1Sop0fzX/8reucdJBIhhNQIyeUH//ZvU0NDNW73F0xU\nLEYXL6L33kMc96lYzHZ3dweDMovFMjc3h2vawemF9tJC1Q94JZvNFqa2EULpdDqTyZSVlXV3\nd0ej0fHxcbfbTZB1pVKJm9DjiMViLMt2dHTI5XKHw+FwOPBLls/nOY7TaDT79+8PhUITExME\np4T+mz179nAct7GxAV3D+KhUKn3rrbcQQqDbjLvBwsVtaWlxOp2gRcdfbhCEGxoaYlk2kUiA\nsIjZbE7vGEzCIJFIQMXXaDSm02kwJq6srFSr1e3t7YTGIdQqUBRV2BkKmb5Dhw6lUimRSARP\nAf5BhFBTU5PX61Wr1YFAgLhR9Xp9KBR6+eWXc7nc2NhYVWMjwphERi4X6vXnTp1CCAUCgbt3\n77J1dczjJZB/e9tdVVVXV9fc3Ox2u+fn5ze0WkLMrxIhPBIux/7YnJ4WJBL481v3ne8URscB\niQQaGED37qErd9H0NGJZhDIImREyI4RQYyO6cAG9+io6dw7xyysBIttbeFAIra2tLQ8OCkMh\nrdXaNTIiGxtDHIfu30f376OyMvSjH+l//GP9k7UkZTIZEUfHQdP0c+jqAVpbW7e3t2/cuAHf\nQvivfH0oFIonPWJPg8rKymJd3e80isSuiK8LjuNApBd4FUGeoBgLslRut5vjOEIGwm63d3V1\nQYAhlUrZ7Xac2FVVVfX39y8tLSkUipWVlYqKCnxWKCkpYRimt7cXAjA0TROTYmlp6fj4OMMw\nUCtG2Ft5PJ7q6mr4us7Ozv7+frz4Gvohbt++DeFG6O3gPwsbZBhGIBDAorZQBHgXQHgAPDeh\nv4TI1Xo8nqGhIQiJaTSaM8ePC27cQH/zN+jePcRxcAq40tLUu++GfvCDkUAAun1tNvQv/4J+\n8xs0M/MFoWQYdOYMeu899N3vIo0GpVKpTz5J9fQchnPucrlcLhdO7CoqKuB60TRd6CTb2NgI\n4UaapoH74sIcQPUUCkVpaalEIvlSY8dTAGJCqVQKAsAIITz6BZ0ikUhkc3MTmDERZYFIw/b2\nNhQ4EuHA8vLyubm56elpnU5nsVhAa4MflclkFEV99tlnXq/X4/GAO/DW1pbFYgnh2esnQKPR\naLVa0BPR6/VGo/GHP/whH8jhOO727dtCodBgMCQSCZvNRoS9o9EorBzgAXn55ZfxQ6uoqFhc\nXLx//z7c50qlEo+jqNVqmqYhcgy7SgRpenp6RkdH7969C+s3gpZVVVWtrq6CtvPq6qper8cD\n25AC7uzslMlkarUa5B6/8mzgG9/l+QW4XK5QKKRSqSorKy9coC5cQAghvx/duYNu30a3bj3K\nr1os6K//Gv31XyOhEJ048Yjk7duHdomUNTc3G41GsIuVSCTIZEK/+AX61a+Qz4e2t9Ff/AX6\ny79EZ8+in/4Uvf02erJY3QsHwzBnzpwJh8NgoPIkpltEEc+HIrH7fUEqlTKbzalUCmRIX+CW\nNzY2IpHI66+/LpVKFxcXJyYm8EQSKK6FQqHR0VFQiC1sMgiFQpOTkwKBAAgiPgoZ0uXl5Uwm\nU15eTihRgYe9Wq1OJpMajSYUCsXjcXzOA91U8JgSCASEEa1YLPY9LsmCphD82xOJBHwQdjKf\nz8diMb6GDygIaKAghBiGKTR6slqtc3NzoGhAKA5UVFSAj9Pq6iq8Qsz0k5OTer1eKpVKnU7x\n3/wN+oM/QFiILrpv39alS9k338zSNEIo7cr+/Ofon/4JDQ4iPA3Y0hJ65ZXtvXtX/t2/O8cT\nBSDWgUCgrq6OZdlCc3QIcOZyOUhZEkQc4kPQNgGeY3i3r0AgoChqc3MTeoppmi7MBIVCIUjF\nGo1G4mZQKBQCgcBms62vr8N1xGvSgdixLGs2m+FfgsdD5h3oUaGbmVKpPHLkyPT0tMViAZp+\n5coVPpdqsVisViseCdsRCoXCYDDU1dWBMCGYazU0NFgslqWlJTghsJO1tbV8RJOiqOPHjz94\n8GBpaUkgEOzfv5+gy3Nzc+hx1DCfzy8sLOCVrJFIBDxUwLMY/NbwggRYkAAJ5jjObDbjktoi\nkai8vBxSsVVVVcQjBgpwS0tL6+vrBoOBaCGCG/7OnTt8z3th16rX64VSivr6ekIqcvfnFyE0\nPj4OzaorKytlZWW8U0hpKXr3XfTuu8jj8fT1+cfGNNPT+uFhQSqFslnU14f6+tAf/zEyGND5\n8+i119D586hQAi+fz9uhbw8ZAAAgAElEQVTt9lAopFarGxsbmZYW9Jd/if7X/0IffYR+8QvU\n3484Dt27h+7dY3U6+j/8B/TjH6PnDcI9B3aRTc7lchaLJRKJQJq4KBRcxDOhSOx+L5BOp2/f\nvi2RSFQq1cTERCAQ2N3M6pkQiUR0Oh3QGqPRCAbtPLsSi8UqlQoCCZBIIlxTS0pKTCaTUqkE\n74rCHdslRxyJRGia5hvKbty4Ab29/BsgvwkhNxCOwkNTMB/fvXsXEn8dHR34xre2toivs9vt\n+MaFQiHvGQ9VevibQQQYap5sNlskEsEb34hgEiEyzLJsIhzW3rvXNDCgGh+neLJWWor+/b9H\nP/lJSC6fHx7Om90TE9X375fPz+/Hq48aGzMHD66dOGFraGDj8ThEuXj2BnFNs9nsdDozmUw+\nnyemW7/fDyJ5QqHQ6XSGw19q9uSpMM+Yo9EoT78gcAvkD/gNMdP7fL6+vr6ysjKBQNDX1wc5\nen4U+rJh46lUimEYnHQCV0un0wKBAGLDxGl0uVwQREQI5fN5j8eTTqcdDgdQN7PZPDw87PF4\nHA7H01ij6nQ6vgyuoaFBrVY7nU5IK7vd7pdeegnn4pCIByNXiHL5fD5cw2JgYCCRSMhksmQy\nOTk5aTAY8ENzOp3A1TiOS6fThLAOyPooFAqVSgXiZ7jzBGScOY6DjYOQB34sMzMzJpNJKpXm\n8/mhoaFCrWyj0YhfBRxgfALmEEAfCW/Azc3N8fHxysrKbDa7trZ27tw5omJsl+c3Go1ubGyc\nP3++pKQkHo/fvHlze3sbJ44Wi2V6etporNTrPcePD//mN+enp1W3bqFbtx7JYns86B/+Af3D\nPyCaRj096MIFdOECOn4cCYWI47iBgYFoNKrX600m09bW1tmzZymKQmIxeu899N570//8z/J/\n/Me6/n5RNEr7fOjP/xz9xV+gc+fQT36C3nrr2wzgEWBZtq+vL51O63S6paUlp9OJS+gVUcRX\nokjsfi9gtVqFQuH58+fBlWhwcLCrq+tFxf/BOgImLZvNJpFIiOaJUCjER3QymYzD4cBDhtFo\nFGYFmMUL014Oh2NlZQVW/J2dnXieSKVSgQVTVVWVz+dLJBKFi2CBQPDOO+9ks9mrV68SETuF\nQtHd3b20tBSJRAwGA1ExAyknlUrV3t5uMpn8fj+RhAIzIqj5y+fzVqsVZ6Vzc3M0TX/ve99D\nXzaZAAwNDSGE6urqKIrK5XJ2u318fPxRg8X6Ov23f3v55z+XYKci3N2t/i//BX33u0giyWTQ\n+39lvnHjzPCwLpX6YilfU4P+4A/Qe++hfH7eYrEcO3bMaDQuLy/Pz88Te37mzJnZ2VkoJtu7\ndy9Bj8DZ6cSJEwzD3Llzh/gs2CfAxsfHxzc2NoLBID8ZQwy1tLRUrVaLxeLl5eWFhQU8V7u2\ntmY0GqFTDzpXcEoB+UQwfQc+4ff7+d3LZDLpdFoul2cyGWjTWVlZ4btSgsGgyWTyeDxlZWUb\nGxsjIyNer/fdd9/9yiAcBEWMRiPHcVVVVe+88w7DMB6PR6FQXL58mX9bf39/d3c3dEeCqwdO\n7KDeDjLIsOd4rDEajULfZUNDQyaTuXbt2tLSEtGGiRD6zne+w3Hcxx9/TOSv0+k0x3HHjx9X\nKBRjY2Obm5t4MBLWVHK5/OjRo0BhidrH9fV1uVwOujMURS0tLT2p9LMQ0Wg0lUp1dHTAA24y\nmba3t/GQ/OrqamdnJ+iKP3z4cG1tjeia3wXxeJxhGCCCcrlcIpHE43Gc2EEYDwKWSqVya8t0\n8eLBixcRQshqRbduodu30Z07j1qTp6bQ1BT6P/8HKZXo3Dl04kRCIkl0d6v9fr9KpfJ6vT6f\nD9+4mWGq/+RPWj74AH34of9//+/SxUXEcejOHXTnDjIY0I9+hH78Y/QsLfwvCl6vF6yBRSJR\nPB6/ceNGKBQi1sNFFLELisTu9wIwHfL1TxzHAZF6IRuvq6uz2+03btwQCAQcxxE5RxCyV6lU\noFxvt9tdLhdO7NLpdHt7O8zuc3NzhfGhhw8ftrS0KBQKk8mUSqXAAQwgk8m6uroePnwIwbOW\nlpbC/rJ8Pn/16tUdK728Xu/U1NSePXvkcvnq6urk5CQuDQCEIBwOj4+P8/lHfLPwx759+xKJ\nxPLycu7LLXt4glKtVgeDwXw+z59zqPrnp0C73Z4Ihx9liHp7EcsCKcgoFNbTp+0XLyoOHTp4\n8HBfHwLJkmDwCw6q1bKHD1v/5E/qT558VG80OYkQQsPDw5OTkxAAyxW0E+7du7cwL8afVSAf\nkG4m0kBwWvCN4x0MEKyqqqqqq6sTiUSrq6tEhwHEIeBvhUJBjMLHjUajUqm02+2gQ8ETO/ii\nbDar1WqXlpamp6fD4fDPfvaz9fX15eXlrwzCiUSi0tLS9vb2urq6+vp6v9//9ttv79+/Hyrt\ntre379+/jxAKBAIIIZqmiapH6H6AQ1YoFIRDA6w3gsEgr/OCS8bAiqKsrAyC1gzDgHIKDwjX\nXbt2jY/b4aNg6Xvz5k1IkaMv311wgcD3D14h8ryQVe/u7s7lcvPz80+ywd0R6XSaoqjW1la4\nda1Wa+EF5UsVFQoF8fzuDiArJpOpvr7e4XAkk0lijZFMJrPZbGdnZyqVWl5exm/F2lr0k5+g\nn/wE5XJoZARBGG9yErEsikbR1avo6lU5Qpeqq5Mvv5zt6NiqrPTjdwjUyGo0GiQWoz/8w7GS\nEqnVesZkQr/+NfL7kceD/uzP0J//OTp3Dv30p+itt9Dzmq4+B6CvHLi7TCajafor23SKKAJH\nkdj9XsBgMKyurm5sbKjV6uXl5R195Z8bNE2fPn3a5/Ol02komcdHYYpSKpUajSaZTNrtdmLS\nMhgMwIqgk5GwFNva2uJLc5RK5YMHD/D+BvS4U5JPiRL7Bi9qNJp0Oh2JRIip2m63V1VVQXJW\nJpM9fPjw8OHDfLSjsrISxOt5VoRHaGCeg8I7mLaJ+bKkpMTn8w0ODiqVSqvVyjAMzqSbm5un\np6c//PDDioqK8OxsV29vy9AQ8nr5N4S7urYuXRL+4R9mGWbihnftl23vvIOczi+2L5HkLl3K\nfP/7OY1mXKWSHj/+hdxUXV2dxWLRarWlpaUejycaje5YVZlMJoFkEK+Xl5f7fD7QHAFnd3y0\noaHB7/fLZDKdTud0OnO5HN70WlJSQlHU3Nzc3NwcnHyivc5gMJjN5tLSUoFAsLKyQmwc0otr\na2twbn0+38TExK1bt/gyOAgQFh4LAaVSWVZWZjAYTp06xedSNRrNnTt3QBYEStZeeukl/nKX\nlZXRNC0SiaRSKcuy4XCYSCCWlZUtLCzMzMwghKCeDB+Vy+XBYFCtVkMpZyaTwTsz4M75/PPP\ned5WmPqEXCrLsrFYjCDT8Py2traKRCKPx5NIJPCnDOJnIArNsmwymST2nC+/4x1dv/IE8tBo\nNCKRaGZmpqGhwe12JxIJouQAnl+JRJLNZguf390BLquTk5MzMzMMw/T09BCUlKIoKN5Ip9NP\nqjMTCNDJk+jkSfQ//yfy+VBv76OWC2iJ3tqS/vrXUoTaBYLWw4czb76JLlxAe/cimqbFYvHK\nyopIJIJHWPf/s/fl4W3c17V3sO8ECJAESXAVd4oSqX0XJVGrLdlO7Cx2Y8eOTSdp2tfXLy/J\ne3lJ2ia107R9btMkjZk2iRMnTixbqy1rISlSIilS3MR9A0EQxEIAxEoAxI73x5VG4x+0eklr\nm/cPfZIGGAxmwZw599xz1q6FL38ZXngB3nwTXn4ZLl9+F4H39NPw3HNwz0zn+6m0tLRwODwy\nMpKVlaXX6zkcDmHPuVzLdedaBnafiEpPT1+1atW1a9eQ7SAcST6Qup1bEj6UG41GBDfJrywt\nLW1ubsZMepFIRNwv8S7ocDjQxItYuc/nGx0dTU1NXblypVarnZqa0mg0zG7L9u3bL1++jJIj\nNpu9HyfuGCun+3TJ5h2EOAwACDoQh21x+oHFYhHeY7t37z558qTZbMYPInzsiouLdZOTkosX\nC5uaMgYGbqroFAr4whegvp5bUNBzdOit73Pa23MtlpviPz4fDhyAz30ukZc3YjROAoBQmM5U\nygOAUqksLS2dnJx0Op0URa1evZoYj/B6vR0dHV6vl6KokpISgrpDOzR6aoSAywUFBQaDwWq1\nosFNcXExE8EAgEAgQGoN30jsltLSUr/fjwFNWVlZ+NHoJ6LT6S5fvjw2NoZDqQsLC3edqJXJ\nZMXFxTjBkJWVlZOTYzQas7KyeDwei8Xau3cvszWPHNvtvhcAbNy4saurC7m03Nxcol+Jr7/l\nGwFApVLZbDbkqxCCEKcTTbbRjzrMpXV1dU1NTWiSR1HUoUOHmEvx+h0ZGbnl9cvhcNatW9fX\n14cc4YoVK4h9LhKJQqEQRkvxeLz7QgkcDmfLli09PT3T09MCgWDDhg3E4a6pqens7GxpacGP\nJjxc7lp5eXloLqNSqZI3DA0FL168SFGURCIhdhoA4I8Dqi15PJ5KhfI5SCSgpcX5y18ah4ay\nRkdTIxFWNMrq6BB0dMC3vgVqNezbB9u21fH5l3p7ewFAoVBcH5kXCOCJJ+CJJ2BsDBoa4De/\nAacTrFb44Q/hRz+Cujqor4cjRz5UAk8kEuGUz8jIiFgs3rJlS7IB53It1x1qGdh9UqqkpKS4\nuDgWi91XI+b9l0KhkMlkS0tL2NRjs9kEV9HX14cyNbRNGR0dZeIMjUYzMTExPz+PrEN6ejrz\nwd1oNCYSid27d7NYLLVanZw1iT7+SAfKZDLilpyXl3fx4sXe3l6xWDw1NcUcYwQAk8lEUVRR\nUZHT6VQoFFqt1mg0MltFmZmZRqMRNywejxN302AwSOOSRCJBJwcAAJjN8Nvf7v/Zz8BguPmf\na9dCfT088cScU4yWJf39N/vCLBbU1sLjj8OnPgUKBUQi0ZYWG8Kv5Flg+kPp4VZiUVtbWyAQ\nQGA6OTmpUCiYlN78/DxNUkajURuDR8SSSqVWqxUnGIjbfDgcJrzlLBYLTdrhKIPb7XY4HDqd\nbmZmRqfTTU1NEcnxycXlcnNyctBFVqlUoocqi8V65JFHkm/2iMySOemFhQUejxcOh7lcbiwW\ni8fjGJ1EvwA9XXHX4YwCk9xCZzvcmbFYbJ7p+AygVquRzAOAeDzO5/MJjV0kEnnooYcSiYRA\nIGhsbLTb7Uwcg0whaunQeIXY+DtfvzabjX5EISYnAKCwsHBsbKysrCwWi01PTzO9i+nCAaBb\nrjwtLe3gwYPM5i+zAoGA2+3Gq8But0ciEd79jB2Mj49jdzgSiZSWlhLPGPn5+VqtFh9LFhcX\nicmqWCyGJt6YtLF161aaTaQo2LEjJRjs4vMXFArNuXOhjg7p+Hje1BQFAPPz8JvfwG9+I2ax\nDtbUJPbtgwMHqGgU3vX9ysvhpZfghz+EU6egoQGamiAeh/Pn4fx5UKvhqaegvv7DI/A0Go1G\no7ndPl+u5bpzLZ80n6BCy48//YfW1tYODw+7XC6pVFpRUUFAEKfTmZqaWltbG41Gz549azQa\nmT/uLpeLz+fL5fJIJEJRFCHkx5v6wsJCenr64uJiIpEgmq39/f2ZmZnr1q2LRqPNzc3j4+NM\n306lUrlt27bJyUm3211YWEj4e6EYMTc3t6amxuVy0TcYutD9BAGrz+dzuVzMgcGurq54PH7w\n4EGxWHzu3LmBgYEVBQXQ3AwNDXD8+E0PfZkMPvc5+OpXHZrVR4/Ca4egrQ2Ycv/16+Hxx+Ez\nnwFmS3N8fDwWix05coTD4fT09PT39+/Zs4e50yYnJzGhPBaLDQ4O5uTk0BsfjUZ9Pl9eXt6G\nDRuCweCZM2emp6eZwM7j8VAUdfDgQYFAcPr0aYI2W1hY0Ol0WVlZ4XCYx+MNDAzk5ubSxxSp\nBT6fv2PHjo6OjqampjNnzvD5fCTk0OUE7lhisTgrKysjI0OtVisUiv3799fU1OTl5SHGikQi\no6OjdrtdIBCUl5cnozq4FaTDQsFWXV1damoqDooyiZBwOIzxCejPF4vFrly5QrtvAADaheBb\nIpHIu5D6Db8S7ET7/X40aqYhDm6SXq/HdBailwoAAwMDKSkpW7ZswVnO4eFhwnMRbn/9ojFe\nXl7exo0bMZNtfHyceTKXlpZGIhGDwUBRVHV1dXIXeHR0dHR0FEeYt27dmrxXTSaTy+WSSCS5\nublES/TatWtpaWkbN26MRqMtLS1jY2O3027ecsuHhoY2b96s0WjQvjg3N5fgxfGpid4DzEVa\nrXZpaenw4cN8Pr+/v7+3t/cgDlYAAACbzd6xY8fVq1fn5sY3bpR+7WsFEgk1M3O9UdvUBF4v\nxOPQ20v19sKLL4JMBrt3X5+rvdk24PPhscfgscdgYgJ+9Sv4z/+EhQWYn4d/+Af4x3+E3buh\nvh4efvhDIvCWUd1yvbdaPm+W60MvVNLc4QVcLpfFYmHbhaCX3G53RkYGDmS4XK4LFy4wn2Kz\ns7OFQmFLSwvOIXK53JIbQZBYHo+noqICtVNqtTpZ2a1WqwkDObry8/OvXbvW1NSEQ5o8Ho8p\nJkskEl6vd/v27agS6+vrI1aOtqh4jywRCoO//CX85V8ysyxh0yZ4/nnfoc+cvCB67dtw/jww\nHY7Lyq43lW7Z2vJ4PGq1GnFDTk7OlStXiJ3GYrG0Wq1cLsdRAKbdCRYO0wgEAtqdhC68j3Z2\ndmIyGHE3dbvdiUTCbDbj0kgkMjQ05Ha7EbohAXM9ouqOxefzs7OzC99d8Xhcr9fTwWIAsGvX\nLsJi5s64gY4GTk9PJ+6L2J+9cuWKXC5Hvo3p4YfuNvn5+evXr3e73efPn8ddx9wtiUQCISxz\nMALL4/Fg8xcAbDZbS0uLyWSidQX4cDIwMMDn88PhMBLMxNvpAQVa3HmPhZQqpgnn5eX19PQQ\ngx1Wq3ViYgKj+QYHB9PS0pg85dzc3PDwMI/HE4vFbre7paXl8OHDzLd3d3ej0Y9Wq52Zmamt\nrWWeEh6PZ+3atXiJZWZm3osCki60K8Kh6bS0NKFQ6PF4mMBudnZ2zZo1uBu7urpmZ2eZokyP\nx5Oeno4QOTc3V6vVEgLcgYEBt9utUChcLte1a9e2bdtWUADPPw/PPw/RKFy5cn3koq8P4nHw\nenHkAgCgpAT27YMDB6C2Fq4/KpaWwg9/CN/7Hhw9Cg0N0N4O8fh1BV5mJjzzDDz7LNyKCl2u\n5frT1zKwW657qqGhodnZWZRk3a+MJhqNTk1NOZ1OiURSWlpKcBVSqdRisRw/fhybQYTuWyaT\njY2NYfoTn88XCoXE3Xr79u1NTU2hUIjNZm/evJmgE2Qy2eDgYG9vLwKF5BkCtKtFqm/fvn3E\nynfv3n3x4kVs3u3atYu5coqipFJpf38/zhfHYjFCkiUSiZx2+/g//mP6iROFnZ0UzVSlpMAT\nT0Seef53Q5r/+A9/z5f5TAiUkwOf/Sw8/jhUVyf0er3FYvF4eO9Ko7/xvWZmZqamppDFIeSA\n8Xgc24gOhwO7scwt53A4XC53bGxsbGwMYTSBhiUSidvtpmENnSE2Nzen0+mam5unpqY8Hs/8\n/DyGNMDdCv1E6PJ6vXw+Pz09XSaTMSkWABgeHqZ9j3GvEuoiDMVaWFjg8/k1NTWEkD8QCDQ3\nN+MkDZvN3rVrF5N8QjQTjUatViufzw8Gg8w+Mu7h2dnZmZkZ3F3ER2PjG/u8tAaRLplM5vf7\njx49itsP7xYXhsNht9tNozoWi2W1WplnI6Y+jI6O4mqTTYBnZ2f7+/uj0ahMJqutrWW2O1G0\nevnyZYFAgIeeEKuhVAuJWJwYYE5/a7VadEIJBoNSqdTr9TJ9KP1+/8zMjFKpXFxcFIlETqdz\nfn6eyUxLpVKcKcFLjBAk3LmkUmk8HrdYLJmZmQ6HY2lpKflMdrvdV65coaNliH0+MTFx5syZ\nWCzG4/EkEgnzBS6Xy2Qy8fl8vAosFgvTOofDge3bISdHf+iQ2ecTGgwlbW3ic+cAG+yTkzA5\nCT/5CfD511Mu9u+HVauAEgrhySfhySdheDj27/8Ov/0te3ERLBb4+7+HF1+E/fuhvh4efBDu\ngWlzOp1arTYWi2VnZ3+wjvHLtVzLwG657l74rIy/wv39/bFYjOha3qESiURbW5vf78/KyrLZ\nbCaTicBPSKSheimRSDA9z+CG7hv/jt5mzKWxWKyxsRExXzgcvnTp0uHDh5kJECwWCwcIcEuI\ntw8ODuIAJpvN9vl8p0+fxmAurGg02tjYiNnn4XC4sbHxoYceYm45i8Vi2lu8K3nCaFx/5gz7\n178WMbmTDRsSz9Vfzv7cq8fFR+sSbjcFcP0GLJWGP/tZ1he+wNm2DfDeNDQ0rNVq8/Ly/H5/\nU1NTXV0dk2XBZh9+dDgcJjrUyHUhq0SHGSQfF/rvRHMc41DpZC2bzfb1r3/dYDAke6YQhdGo\nEokkPT2dDtd69NFHmQaBTU1NDocDj8ji4uLJkycxvJW5Vbj9uM1EUNuFCxcWFxflcrnf729p\naUFvW3rp8PCwRCLBWdeOjo7BwUHmzIpUKsUeK0VRgUCAy+UyjybuXvxo/JOY8uFyuaFQiG4L\nEjstKyvLYrEwt5+JvVB3iIAJTaEdDgfzds5ms3G2+pajxCaTqaurC1ltt9v99ttvM09UiUTC\n4/Folg6Focy3o78xl8tFrSdxMuD2BINB2kWS2S7HU8vpdKakpCwuLsZiMa/XywR2LBYLp3Dg\nVpfYnUssFldWVra1tSGsXLFiBQFJJRLJ1NQUTol6PB4i/xR/HPBCSAaFqM0IBoMI4gHA6/Uy\nNbKjo6Pj4+N5eXnxuF8uf+ell/bI5YrBwes0Xns7hEIQCmEyBXzzm6BWX0d4e/dCakVF00MP\nsQ4cKO7vT/nDH+RjYxCPwzvvwDvvQFbWdQLv9tHbDofj4sWLWVlZfD6/u7t7aWmptLT03vfb\nci3XnWsZ2C3X3ctoNGZkZOzcuRMAzpw5MzU1de/AbnFx0WazPfDAA2KxOBaLnT59en5+none\nzGZzVVWVVCrFhAaDwcC8qw0MDACATCaLRqPxeDwYDDK7LRMTE/F4vLa2Nj093efznTlzZmBg\ngGmk53Q6NRpNTk4OatGmp6eZ7BQyXkqlMhKJBINBons4MzODSY4ajcZsNuMTNvOLu93u3Nzc\n7OxsLpfb1dU1NTVVmJcHZ89CQwO8/bb0xu0zIhQad+xoq/zMNXjmj39DN2MpABCLEw8/TNXV\n2fn81qystB07dtIrx1QovPe3tLTo9XpmCxLjZSUSSSwWC4fDRGcQWbSioiL0ZTUajXa7nb4Z\nY2aDWq3WaDQLCwtvvfXWpUuXJBIJHc9wVysyNpuNZiLp6elpaWnV1dW7d+8uLCxUKBSRSOT4\n8eMKhUIgEAgEAqQVmTgDUd1jjz0GAMeOHSP2OW65RCJBEBkMBhcXF+mbPf6zurq6pKQkHo8f\nP358ZGSEKYPzer05OTl0Q3Mc0wlu1NjYGEVRCoUiEAiIxWKHw+FyuWhcSAxDAIDRaGQK3RAP\nIbHndrsJmDs0NAQAhYWFgUAgFAq5XC6z2UyfyeigplKptmzZYrFYuru7iREHi8WiVCrLysrQ\nLGZubg5bq1jDw8MAUFNTE4lEHA6HyWTy+Xw03YjuKkhwIm02PT3NPFHxkqmrq4tGoxcuXCDO\nFgSjdCsW3k1V4ovz8vJWrVplNBqTJQcLCwuZmZkFBQVsNruvr296eppwPLFYLOPj46FQCA3G\nCVK8oqIiOzsbs2KTTSiDwWBGRgbG/SkUCuIBZmJigsfjbd68GfWRmGJHF+7h4uLi8vLyqamp\nsbExm83GHLrXarU1NTX4P5cvX56ZmVmzRrF6NaxeDd/4Bvj9cPHidZA3NQUAMD8Pr7wCr7wC\nLBZUVcWKinL//M+Lsv/P4dg3v3n+Jz/ZMT4ueOMNcLvBbIYf/ABeeAH274fnn4cHHkgm8FCl\nitPNKSkpExMTy8BuuT7AWgZ2y3X3isfjtBSJz+cT+Q13LhRp9fb2ut1u7JUQHEw0GhWLxQj1\nbDYbsXJsq2VkZEgkkpGREQBAagGX4oP46OhoZ2cnNt0IoBCPx8ViMarFcSKSuRQ5QqVSKRKJ\n8MbMDAxAtRC2vUpLS998802mfggVV1KpFFcu9Xo1b7wB9fXMQVdnYeHQlkdejT71dmu+5dzN\nniCPB2vW2DZu1L3wwiaRCCIR+fHjceZuwYYavSVoEkZ8LwDQaDR8Ph+xL7MQguj1+mg0SifD\n9vb2InSbnJzs7u5G5HEv0ajp6elr166lG6kGgwFNU+nX5OXl0X4rtMMwAovZ2dlkORpdyfI+\n3HK8fyMJxJyxxYOLgAYbmsTKMXELuTf6L3QFg0E8ZAUFBcjUMs8WBHYcDic7OzsYDFqtVmLb\nEolEamoqTuewWCwC36BHDGpJR0dHXS6X2+2mgR3NGJ06dQptnwktKV5i2MfEmQDmUjz6yEdi\nizwQCNDAjrZxyc3NxfwVm81GPHqxWKx33nkHblixMAst/fx+P+KnaDSKkSrMjzaZTHq9HhEz\n0YNOJBISiQSvXz6fT9hEOxyO9vb2FStWIPcWDAYJA3MASElJuV1qaiQSWbFiBa68r6+PcHVG\nuS2q7nCPMQW4uOV6vX5qagr/k3lAMWPwDpeYWAwPPgiYPDIzcx3hNTdfH7kYGOAODJS9+SbI\nZLBnDz89fbei/sn1//qv8Mc/QkMDdHbeJPCys68TeAyCFuNJbvfRy7Vc77OWgd1y3b1SUlIw\nxQgJA6JbeufC/ojb7UZz+WAwSHRMMjMzR0ZGEPDpdDpmlisA4If6fD7aBozZ6ykqKtJqtZgv\niRmmhNBNLBZPTk4iM5csg8Pm2tzcnEgkwpUz+2vp6el6vb6xsbGgoECv1+P/0EtZLJZQKBwb\nGXH+7neFFy7s6u+n6A6XVOp/6PF/Xtz1+/E9E6+qGG+BzZvhscfg8cchGAxduWJ4++05uVyO\nNAmT52CxWCqVCtT+BSAAACAASURBVN2Y8T5K2ODh4AIGuDEd+ILBoNlstlqtjY2N2EXFaNT7\nGmUIBoNKpRKZTsQfn/nMZ+hXYqQVi8VKSUnBQQrmlKVcLkfOaWhoCG0CiSkBhA6nTp3icDjY\nRGMulcvlHo9HIBAolUrsbDLVZikpKWw2u6Ojg45xI5w7SkpKLly4cOnSJbgxjs1cipjMYDDM\nzs4y/wcrJydneno6Go3SS5Mdpx0OB9KHRqORkMGp1Wqj0fjmm29iyggA4FQyVm5ubnd3N8JQ\nBNPEqahQKIxG47Vr19BIhchjlclkSATSx5HZJkY0TFHU3NwcPbTLfDufz0eDX5wwJfSaubm5\n165dU6vVUql0ZmaGy+Uy52w0Gk1PTw/2r/FkIPa5RCKZnp5GkO10Ogm52NzcnFQqNRqN4XAY\nvyMx3+B0Ovv6+pCxW716NWFYnZmZOTw8HIvFotGoXq/HPDe6srOzx8fHr1y5IpVKJyYmBAIB\n85CVlpai1WJ2djbOlzDBLj4udnV1RaNRfMBIRpx0FRTAl78MX/4yxGJw7Ro0NsLJk/HOTiqR\noLxeOH4cAGpefhkKC6Gu7um6v376kGZQ/LsGePVV8HjAZILvfx9eeAEOHID6enjgAWCzs7Ky\n+vr65HI5n88fHh4mOu/LtVzvs5aB3XLdvXbs2NHc3Dw5OYmkxR1+AZMLGTiRSDQxMSGRSJDw\nYypdqqur+/r6urq6OBxOcXHxineHM2ZnZ2u1WovFYrFYkhXrtM4Mf7iTLfUx7gJvpRRFEaqp\nnJycmZmZQCCAThYEmZGdnY1ZjYhROBzOu3wiLJbi11/PPXdOxOipRVev7VhZ/+Ls4+d/L2Fy\nYYWFzq1bDS++WM1QlucgJEUQkJmZSajOvV4vIjZ033A6ncxf//T09JGREVTCoZdvQ0MDOsPd\n0j6XWQqFQqVSqVQqVMKp1eoHHnhg/fr1zK+PQwC4qt27dzPfnpGRMTc3F4vFUF8IhLgQQCwW\n+3w+fDtFUYTj9OHDh0+cOEGPIOzbt4+5ND093Wg0BoNBk8l0ywkGsViMZxQeU4LpmZqaSk1N\nLS0tpSgKDauTpxBut3+S/aiJ/8GrYHp6Gj+X2QIGgC1btpw+fXppaQkZNaIdiceRyY8SQ8rb\nt2/HSwwAFAoFgeOTKxQK0bsdH3WQGkdIRwjdMjMzmUYzxHxSSUmJx+PR6/Xz8/N8Pp/4Xmw2\nGx+ucL+xWCxiy3ft2tXc3Iw23SqVivhxCAQCXq+3urpaLBYPDg4SDHE0Gm1ra8vIyCgpKbHb\n7e3t7QcPHmSeThUVFS0tLV1dXQCQmppKbPmqVat8Ph+aWQqFQgLHKxSK8vLysbEx1C0UFxcT\neWVwK1vyOxebDWvXwtq18M1vssbHHa+8Yr5yRTY0lOl08gBAp4OGBmhoAD5/1bZtP3nwGz96\nNPoHzZkG6OqCWAzefhvefhs0GvjSl/K/9KVAWdnQ0BAOTzDb7su1XO+/PkrAzq9ve+t0Y0f/\nmM5o9wZCcY5AolDnrChfs3n3oYObc0X3cX0u132VQCAgrPDvvdDBZOvWrZjUdPr0aQJ+xWKx\npaUlNIxFEMZEGOhikJWVxeVykZljLsVVCYVCTMciHGUBwG63b9q0iW7lmM1mJt+Qm5s7PT1d\nVFSEBsVqtZr5K8/lcleuXDkwMIB0RWVlJY/Hg3gcLlyAl1+G06fLaBdfgaCn+MC/x7/62uje\nCKMvmp29uHOnec8em0RiAYDMzFUANze+uLgYJxAFAgEBZ6PRaDAYRDGZy+V65ZVXrl27lpKS\nortRs7Ozd01lwFGGgoICiqI2bdq0atUq9OoTCATHjh2TSCSLi4ssFgul98y9Ojc3R1FUeXk5\nj8cbHx83m81MQKxWq7H/lZGRYTAYYrEYkwGKRCKLi4voXYz70GKxMJlOLpeLArtbllqtZrPZ\nmZmZaWlper0eR4/ppcFg0Ov1SiQSDN0SCoUoTaNf4PF45HI5xtZJpVJCNke3iVUq1fT0tNfr\n9fv99PpRkoXwC/8k+qEAQKvQCLtELMIlhFloILx//35EoseOHdPr9Uwoz+PxDhw4cLu344PH\nzp075XJ5V1eXxWIJh8M0AMK/sFgsbOpFIhEC79rt9vXr1yPCHhoamp+fJxRd69evT7bNw3K7\n3bT3HofDYbFYhFLtzj8OeEHhUwqCTiawdjqd4XDYZrPNzs7yeDyKoux2O5Pz6+/vp7vtbrdb\nq9USI/l3DtGpqqoi5i3oSiQSVqt18+bNSI52d3ebzeZkh787VFmZ8sUXlQCQSMDAwM2Ri3AY\nQiFoaoKmJtH/hGcyM5959sjAF5YaijpfpRa9YDTC3/4t/OAHFQcPVuAI7QeU2b1cy0XXRwTY\n+YZ/+VdP/vWv+j23VgR9h5Kt/Px3fvL//npnxq3jBD8RhSNvFEXd8q7zX1UymUypVLa2tuIk\nI5vNJnpzfX19aBsbiURwBIF510lNTc3Pz0ciSiQSEUQIkgfxeLyoqAjvdkQQApvNnpycvHr1\nKofD4fP5xMydSqVCg2KHw5GXl8fsnQFAMBgcHBzEB32n06ltayv84x+5v/41MDTaFnXp6cyv\nfWf8SdvQTXZHo4HPfQ7y8jrUajPexjgc0nNkaWmpq6urvLxco9EYDIbOzs69e/fa7XYaurW2\ntno8HrPZfC+jDCqVqqqqChupmZmZAoHA4XA899xzHA4nGAyePn26rq6OVqYjl8bhcPbv37+4\nuIidLOYKDQYDrgqjCMbGxpj9cT6fX1tbi3whhrkx0TBmALDZ7E2bNtnt9snJyfsyNkPeZWRk\nZGZmJnnl2GjjcDj5+fnxeHxubo5oMbPZbJ1Ol5mZGY/HkzV2AoEA/UomJyfFYjG6rtBL8cxJ\nSUnB0U6kr5hvHx4e9nq9mzdvxr8PDw8TQQh3KFyV0+nEoYf7DYBBFN7a2ooHDt6tGcC/C4XC\nYDCIkkrigHK53KWlJZ/Ph1//vvKp6MSXsrIys9k8ODiYPBydSCR8Ph+bzSbIPNxymUzm8/nQ\nasRisRC8ODqkFBUVGY1G7Loyl1qt1kQigc9ssVhsYmLifr2WblfIwdOivWAw+J5/NikKqquh\nuhq++U3w+a6PXJw/f33kwmKB759a/X34qZT1o2/k/+GL4QaN+SrEYvDWW/DWW0jgwbPPwv3o\nW5Zrue5cHwlgZ3zl87u+9JZDXnHwS4d379hSU5iRqlDIBBAJ+l3zRt3o1aY3Xnnt9/9rb+/M\n6Ss/3U8OVn0yKhgMtrW1YRsoLS1t27Zt/03iBXEOUavVYmxUeno6sWF2u72mpgYhV35+vs1m\nYwI7s9k8Ozu7bt06iUQyPDzc29u7a9cueim6wubl5blcLrVabTabXS4Xs4OGPB9FUciBJWtZ\nMjMzCT0TXU6nM5FITE9NuV5/vaipqbK7m3XjrhMTiDvzP/dtwzOt81vgBiskk0U+/3nu5z8P\n27cDiwV6fdbVq0ZcFIlEmKSXy+Xq7Ozs6urSarUI44aGhu4lGpU2hMPb4eHDhwsLCz0ej1ar\nZdJgsVjswoULzc3NaWlpyGkxSTV6QGF6ehrHFJJb2GazWavVQlLHEAszEm65haidj8fjNpsN\nj/hd5X1EyeXy2zUikfJBDgknIYi+Kv7TgvHvSSYvFRUVs7OzyMz5/X4ctKSXKhQKDoeDSScI\npgknZKvVGo/H0QtaLBbfi4Efc+VcLhcDkbEqKyvv8HqiKisrMXQYAKLRqEgkYjZbxWJxZmam\nx+MpLCx0OBzJ53leXt7g4CCO1gIA0WwFAIvFMjo6GgqFMjIyqqqqmEYtCOPsdjuXy11YWMDJ\nD+Z7A4FAW1sbEpmZmZlbtmxhnk75+flTU1NCoVClUhkMhhUrVjDfjhJSDPyw2+3Jgx3YYz18\n+HAikXjjjTeI4Yn3WUVFRf39/U6nc2lpyWq1MrNb3nNJJHD4MCB1q9PdHLlYXITFuPg7+i99\nB75UDde+xmv4fPx3ouhNAg8OHYL6ejh48AMh8Gw22/T0NP5K3DJBbrk+3vURAHaJrn/97lsL\neU+e6Pr1QxlJ7dbKms17Dj/xF9/6Hz88tON//+yv/vXLY39za+r9Y16Dg4MURT3wwAPxeLyj\no2N4ePhPrNvw+XzBYFAulxNURCAQ0Gq16enphYWFVqt1ZmZmbm6O2fLA+yh2UQkSBQDm5+ez\nsrJUKlUoFKqsrGxtbWUOvvH5/FgsplKpEomESqXS6/WEuoh22MLS6/W3a80kF3thofjNN0sv\nX+YbjfR/mtNW/zRS/xP3n3nHZTe2Ibphg2XPHtuhQ+z1629SONhCcrvdFovFbrc7nc6f//zn\nOp1uYmKCcG1ILh6Pp9FoVCqVXC7PysrauHHj+vXri4uLacza2tpqs9nkcjmaXxD7HL15sfWc\nnp5eXV1NkGpcLletVjscDj6fT8djMF8QCAQKCgr4fD6SW8lb6HK5FhYWUHHP/H8EgikpKfPz\n8zg8mwwNkXpJJBLFxcW3zBU1mUw2my0/P5/wv0DEkJGRgfyrXq8npmLdbjc+SGAuCJH6hZ1Z\nPp+PSq9IJEJkcT744IPNzc04qbN27VrC/TgcDsfjcbTLmZ2dvaVWb25ubmFhYcWKFYQ+LxqN\nRiIRdJJjs9mhUMhisdw7+YTBvkhccbnc5FnmLVu2jI+PW61WuVxeWVlJPDs5nU6pVIqwKRwO\nLywsMJGf0+lsb2/Py8sTCARGo/Hq1atM5Id9XqVSabPZUlJSfD4fcUD7+vow1oWiKK/XOz4+\nzsSsUql0z5493d3dJpOpuLiYIMVx9Ecul1ssFvTJSz5blpaW2traMEU3Gfm9n6qoqBCJRGaz\nmc/n79mzJ9lsBQA8Hg96HiU//Ny1CgvhK1+Br3wFIhHo6LhO4/X3w7V49bPhn/0V/Ohz8Id6\naFgP3RCLwenTcPo05OTAs8/Cl74E9+PzTJTVar106VJubq5AIOjr6wuFQsteKp+0+ggAO3Nn\npwFKvvv1W6C6myVe/Y2/e/Kl2p9cumyDqvTbv+5jWw6Ho7S0FO/B+fn59xVJ9D4rkUh0dXXh\nABqfz9+8eTPzjojKZYfDYbNdD603mUxMYJeVlTU6Okr/k1BA83g8g8GAXweTx5i/sHK5nMvl\ndnR0AMDU1BSbzSZuxkTdE3uUSEBTEzQ0pJ84kXFjujDEFpzgP/ovgT/vtG+6sWGwbp1j3bqp\ndevMfH40EAi43dlHjx6le6mjo6O0Y+0dSiqVpqen5+TkbNy4kbYUyc/Pd7vdbW1tSFFkZWXV\n1NQw72pVVVVNTU06nQ7/SUj0AKC5uRmHDGZmZhYXF5kDEBRFpaen02cIRVHEM304HM7Ozvb5\nfB6PJycnJ9ngrbm5GWeQAaCwsJCZF4fSNzTgwA0gkLTX6z137hzulpGRkc2bNxPCJhxBAICp\nqSnaPRELGTgElEjEEjgAba7pzAyCW5qfn2exWHgOIJ6zWq1ModvCwgKqPFH4lay4CoVCON8A\nSSMjAHDixAkEmlNTUzk5Odi0xUJ6DxnHaDSKNNW9AzuHw8Hj8XC3oFhtaWmJuQEmk2liYiIa\njeIridFyu92OwAgAWCwWYaFnNBp5PB6awPF4PJ/Px8S7EolELBbj1e3xeDgcDiGlsNlszObs\n/Pw8E9hFo9Hz58/Th3txcZE5XYHXL4a5YTOXuH5x+tvhcOChv/PV/R4qPz//doRWLBZrb2/H\nk18kEm3bto2YJr734nJh507YuRNeeAFsNrhwAUGe5D+sz/4HPFsD/c/Dy4/D76WwCHNz8L3v\nJf7276jDD0J9PRw4APePZWdmZjAJGgAkEolWq10Gdp+0+ggAu0QicSvnfLJYIpHghl/UJ7BE\nIpHD4UAPBYfDccsO2odUs7Oz8/Pzmzdv5nA4JpPp6tWrD6L7EwDcGC3MysratGmTVqvt7+8n\n6ASdTsfj8VACb7Vah4eHmSiEzWaHw2GpVCoQCBYWFrhcLvNubbPZIpGISCSSy+U+n8/r9SbL\nqwEgIyMjGAx6PJ67wCybDX79a/jFL0CrBXQQBpjgVfxb+Kuvxv7ME0gBABYLamoW162bzMho\n6+h4q73ddf68f2Zm5q6Qkcvl5uTkMJO18vPzhUIhSt3z8/MJNqKnp0etVq9duzYQCLS0tExP\nTzO/F3rX5efns9lso9FoMBhoJzkAmJqawngGuVy+sLCwsLBgs9mYN0WLxSIUCgUCAYvFcjgc\nw8PDzIwpkUjk9/urqqpisZjFYiHOJb1ev7CwUFlZWV5e3tnZqdPpysrKmNLGpaUlNpuNQvul\npaWBgQEmOGtpaQGA1atXczic/v7+q1evMvFTf3//0tJSYWFhTU1NY2Oj1WplOvEKhUKJRIKx\ncgqFwu/33zLnF1nAZP88HInYtGlTTk4OUp5MXi2RSFy9ehVZJZfL1drampmZyWS2gsEgRVG4\n8lAoRPzUXLlyJRwOl5eXl5aWnj9/fm5ubsOGDfRDCO5DiURy4MCBkZGRsbGxO9j7JRd+3O7d\nu1NTU9vb2y0WC5PYjkaj3d3dK1euLCkpsdlsly9fRpKbfgHmmB04cCAUCjU1NRFWkTjBs2/f\nPplM1tnZaTQamZeYz+fz+/2pqalKpdLn81ksFoPBwARDOFq0c+dOh8MxNDREBOwiqisrKyss\nLDx79qzBYGACO7x+JRKJWq1eWFhIHo/AkVu8uKRS6V2HhT/Ampqa8nq9hw4dEggEPT09vb29\nH0ivNj0dnngCnngCEgm4dg0RXs1ftv/86+F/+jy8Vg8N66CHisfg5Ek4eTKgyoVnnxV97Zn7\nIvCi0Sh9yfB4vLsGxizXx68+AsAue+3aDPjxL//+1edf+7Oc221vzPi7H/3WABlH1r53Bvsj\nXdimdDqdOM1HWFR8qOVyuTBbHYXz0WiUmTWJeGVubs5isSBXQXSp0DQfVdJ0sBJdfr8fHVJw\nEDIcDjPpBLSXQztZ7E8ZjcZkYHcXOVQiARcvwssvw4kTcON2G2YLX4t/9uVE/ZXwdd6Fx9MC\nHA2Hf9HbO9Pbe9uVcTic3NzczMxMHo8nk8noZK2MjIzHHnvsHr0VMCJzzZo1bDZbKpWq1Wpi\nBAFxGz6U8/l8JuUJN/Ls3W43jWX1ej0N7DC9IxgMIgNEURSx8qKiogsXLtA7jQkZ4QbvhazM\npk2b3njjDWZXEbk6lLrj/6D6ii40VEPlACQ9sSGZhBTgjh07Tp8+PTs7y2SANm/e3NnZiXqs\nyspKAtjhl8XTDJKcTRQKhdls7urq6u3tRfKM+ek+ny8cDhcVFbFYLKVSmZqa6nK5mMAO10Yj\neGLlDoeDxWIhPblu3bpLly4ZDAZ6ehSb7z6f7+TJk+hLcl/DE1wuFw38JBIJ7mGmTbfX643F\nYkVFRejNJpPJXC4XE9jhpdHe3o57hujk4pZMTEykpKTgytHaDZeiYHH37t14Ib/xxhvz8/NM\nYIeOIQMDA7d02V1aWqIoChnEgoKC6elpj8dDD7Xg9UsP1b7++uvE9SuXyx955JHbTWZ8qIVH\nHxFSQUHB5cuX79cb5c5FUVBTAzU18K1vQSAAHR2Sxsbnvtz4HPT21kPD5+E1KSyKFgzww+/G\n/uHvJooeCH+xvuKvD/AEdyfwsrOz+/v7cdp9eHj4vtJ7l+vjUR8BYEdt/18vHHr1S298oWr0\njWee+XTd5tWl+VkqqYhLhXxer9M43t/VcuI/G44OOOV7fvY/d35CR8dVKtXevXsnJydZLBbd\nk/3TFPqm7t27Vy6XIxHCFE7Rv4x+vx97OgSww99KHHdFp2Ji5eFweP369ehM5nK5mHdEhUKh\n1+sVCkVGRobH4zGZTLf89UdZEgYuvWuB3Q6vvBL6t3/jM+IihqGyAZ7/bewLbsDOix7gjwC/\nCocniNWKxeKMjIzKykqNRhONRrOzs7/whS/k5ubiFra0tCwsLFRUVFAUhW55935XQGmazWZT\nqVTYXyN8X4VCIQZJ8Xg8i8VCCIDwa2ZkZCiVSqPR6PV6mW07lCGy2eyHH37YbDZ3dHQQz/Sz\ns7MymUylUsXj8UAgYDQama1euVxuMBiQAqTdy5hLAYDD4Tz88MMzMzO9vb0EAEJggXZlx48f\nJ764VCp1u93j4+Oo9wIAAropFIqDBw/i+Gey4go5ObVaHYvFbDYb8dFSqZTD4WRlZeGDh8Fg\nYF4mqAg0Go0ikYjD4Xg8HsKBDzderVajU0byyjHygd4tzC1HQjotLQ25TKPReF99PZlMxuVy\ny8rKotGoSqXSarXMAyoWiymKslqtWVlZGCBBXP6o7aOzaIkmMurnQqGQyWTC7D7m9YsHd3Jy\nsqysDE1biC1HI0nUNaJ/IXMp2lDPzMwIBALs/jNHlTMyMvR6/cDAwOrVq3FYh5hbx/UTOs4/\nTUkkEovFgtpfq9WKO/lD+iyRCOrqoK4OAECnW9vY+PLXzv6T4uxrTy69vAb62IloxdRJ+PZJ\nw//Nay58NvrkM3VPZt1hIqKgoCAUCo2Pj8diMY1GQ8wALdcnoT4CwA5A88ybbdRfPPXNX598\n6esnX7rlSyhJ5RM/+e1Pv1J4y6WfgPL5fJcuXcL2kNVqra2tTdYAfUjF4/G4XG5LSwuiDQAI\nh8M0YycUCsvLy8fHx2UymcPhUKvVhLk8knwYFwZJDmHYt2WOEzIZO/zFdzgcdAI6sXK80yOX\nEIlEQqFQY2OjbnoaWlsr29vXz83xEgnc0CUQHoXHGqC+HbDdYwT4T4DXAHo5HI5SqUxPr6qq\nqkI3uMLCwqKioq6uLiYdtXXrVubDMbIsU1NTXC4XVfz39cRfXV3d2dk5OzuLKISgITds2HD+\n/PkTJ07gFyQ0VbgPrVYrzbox0TCeJNFo9NixY7hJBHvkdDpDoZBOp8PYLmKby8rKJicnW1pa\nMPtBpVIxVec4FRuNRt944w38H2KcRSKReL3eM2fOJG8Yfi+j0Tg4OIj/pHv0RN0uab6ysnJo\naIgeICWkhxqNRqfTIfq3Wq1VVVVMVQCbzc7Jyenr60OkwufzCY0dfl965JYA05s3bz516hQ2\nmgFALpczL0CRSJSZmYlmH/F4nMfj3fsQDwDk5eXpdLrh4WG8xNasWcM8KHw+v6Kior29HY1F\n0tPTiUFviURCk7I4ZsRcWlhYqNfrHQ6HUCh0Op34EEUvRTvrwcHBkZERjLkjwsoUCoXT6aTl\nnsSpuHPnznPnztHXL+FGlJeXNzAwMDExgebnbDb7vw8KKSkpMRgMb731FpfLDQQCf7IucGEh\n1NdDfb00Eqlvb6//6Ss9WW817F14TQK+3MTsF6e/E/3e357+3uEXcurFj+zbf5C1cyck/9KX\nlZXde5z3cn386iMB7AAE5U//4upn/2/bqVMXLnf0jBpsTpfbH2EJJKnq/JKqdTsOfPrRfWUp\nn2SH4sHBQZlMdvDgwXg8fvny5eHh4ds5jr63isVi2GxSKpXEnV4mk7HZ7JUrV8ZiMb/fPzMz\nQ0y2VlVVZWVluVwuFNMQa8bGEM4qRiIRImtycXExkUhkZWVxOByz2UyMMSLVJBaL0W0L9UAA\n4HK5cILh1KlTdrvdZrPNz8/Pz8+nJhJPAdQDMLXEo1DRAPW/gSddoKAol0p5bOXKwQ0bQtnZ\nmXb7wcrKr+PcqNVqRVaSfiNGWaCkLBaLeTweJrDDKb/S0tJ4PO50Oh0Ox3098Ws0mgMHDlit\nVh6Pl5WVRcCIlJSUBx98sK+vLxqNlpeXE6JypLIEAgGbzY5EIuFwmAmXERWlpKTw+XwOhzM/\nP08wIjguWlVVFY/HdTpdcovtyJEjV69edblc2dnZK1euZC7CVUkkkkgkwuFwAoEAYSanUqnQ\nvhjBE8G64bSpSCTCsyIYDDLTe+9a5eXlCoUCacLVq1cTyIyiqB07dmA3sKamhngGQOu74uJi\nqVSaSCSGh4fNZnNyeh59EImjyePxHnnkkYsXLwYCgby8vGSAsn379unp6dnZ2ZSUFGIUBmtp\naWlsbOymFTaj2Gz2nj17zGbz0tJSWlpacrJqZWVlamqq2WwuLi4mwsoAwO12czgciUTCZrNd\nLtfc3Bzzx4HNZldWVvb09AQCAbVanWwJtHv3bp1OhyO3hJEkAKDeMRAI4GMAITZdWFgQiURc\nLjcWi6GROPH2I0eO9PT02O12uVzOHDe590KXY6VS+cEaPPH5/AMHDphMpkgkolar//TmoFwu\n1NZCbe06gHV23T+P/OD36pMv5zn7ORB9BI4/Mndc/+P8X/z4ua8Kni7fnXnoEBw4APSDTCKR\nwIkTpVJ5X03/5fp41EfpkIvytn3uL7Z97i/+q7fjv2W53e6ysjI2m81ms7Ozsz/YqVg0R0Xn\nMJlMVltby4RuBQUFs7Oz6HoQCoVQ+EWUUqm8JfUCN3gsvNMje8dcGg6HKYqiORgAYN7pTSbT\n3Nyc2+22Wq2Yi+rxeGZnZwl0CAA7AP4J4NMA9HYHQfAGPNoA9ZdhO5cbrqzUfnFX/w9+sEMk\n+hTAp/A1Fy9etNvtfr/f7/cTbnCJRMLj8axZswZtLJxOJ+EkXFJSYjQa+/v7MR31PTzxSyQS\nguGgKxKJtLe3Y6iXx+PZvn07kzZDezCmup8w/tBoNMYbHi4URREqOozOpGmz5BvDhQsXkAHy\neDw+n49IkZJKpUjc4j2ecPEtKipqbGykQ94IPzwMjmMePqvVSgRJORwOu90uEAhycnIIvBsM\nBvv7+7HrPTg4mJqaStyPe3p6ZmZm2Gy2Xq9ft24dc81+vx9RMp5dJpPJ4/EwgR2en9hqTFaq\nAcDZs2dxP6OZC/HFZ2dn+/v74/H4wsJCJBIhdtrc3Bw65AHA1NRUbW0tAdYpirqDWAq73hRF\nTU9PozqTuRQD7wmxI10LCwttbW34d7PZ3NzcnJyBgSz1Ld/u8XjWrl2LO2poaIjQa7rd7rS0\nNPyyLpfrwoULxLPZ5OTkzMwMi8Xy+XxDQ0MEkRmPx0dGRsxmM4fDKSoqIs6EWCx2+fJlFFyy\n2eytW7cm4+b9gwAAIABJREFUJ8i9n2Kz2YQE4r+q0gqlab98HuD5xNVux4sNKWde44b9+aD/\ne/j23wT/5vSZww1n6v8S9haVsA4dgr17o4lEayDgpCiKz+fv2LEj+UlguT7e9VECdsuRYnco\nmUxmsVjy8/MTiUQyB/M+69q1a/g8HYvFWltbR0dHmSZ5bDZ79+7dVqs1GAympaXd76Mt3iyR\nxcEJu+SlK1euXFhYQEF6X18fbSly11SDVIB6Pv85gEIGkTAOZQ1Q/wo85eXIV62a/7ennU89\nJT9/fiwWi4lEN68In8+HjqwCgSAYDDqdTq/XSwsE8Uezp6cnNTUVBxGIbimPx9u3b59Wqw2H\nw/n5+beDaO+t0Nvi8OHDPB7v6tWr/f39zHEZtAfTaDRyudxut1utVuJ8cLlcOTk52Cyem5sz\nGo1FRUX0UkQnOLiKsfTM905PT7tcrpqamuLi4u7u7pmZmcrKSub6FxcX6ZAPi8Vy5coV5rbp\ndLqUlJTs7Ox4PO5wOHQ6HROvRKPRRCJRVFSk0Wj6+voIdSB+cURsPp9vYmJiz549TJQwNDTE\n5/PXrl1LUdTo6OjAwAATOOJE5969exUKxeTkZE9Pj0ajoaGhWCxms9kTExPII7rdbqKTi2cm\nguC+vj6CchsaGvL7/diOb21tnZqaWrlyJb1tsVgMA0+xFWswGDQaDRM1Xr16lcVibd68OR6P\nd3V1dXR0PPzww3BvFYlEent7q6uri4qKHA7HxYsXNRpNsjNIUVFRKBRKfuTr6+sDgNraWpVK\ndeHCBXRuu3eaRyqVmkwmRMNWq5V4fpPJZJOTkygnMJlMONFML8Wh6Y0bN+bm5qL7Wk5ODvPx\naWBgwGg0lpWVBYPB7u5uLpfLJBTRYfuBBx4QCoV9fX29vb13iGX7eBS1Yb3q+Hrw/nP8t7+N\n/uznvNFhLkQ+Bcc+BcdmoOA/Jp/95eQz//Ivaj6/ds8e6uBByMy8du3aNeZY+nJ9EuojAuyW\nI8XuVqtWrbp48eKpU6cQJDGtxd5/ud3uVatW0XRg8pApisrf28ox5J6ml2KxWG9vLw3d+vv7\nDQaD3W5PJkiIwlGGsrIyDNeqjsWKL16UnjzFuQHpQsA/BUcaoP4ia8+27dQLn4eUlPNstieR\nSJw9S9EDlfSNx2y+HghG+4cZjUbCYZXFYvn9/luMZQDEYrG2tjar1YrDE9u2bbulA+p7K7fb\nrVar8W6al5dHkz1YEokE5wBMJlOyii4ajfr9/i1btuD2hEIhgmuMx+NsNntkZOSWpqxIkCCK\nXbt27czMDPNBgh6rnJ+fx48mxpzdbncwGBweHkbrEALH4ydqtVqU0sMN0R69YcPDwxs2bMjL\ny4tEIufOnZudnWXCL1x5S0sLwm5i+zFJFr91fn7+tWvXcLgYl7JYLLVaPTExgdiLy+USSjWh\nUOjz+Xp7ewEA+8XMpWgghyC1urr63Llz6LeHS9EODc3tHA5HU1PT4OAgE9ihSL+jowOlZrec\nML1dLS4uxuNxHPVQKpUymcztdicDO9ylFEUR52owGKQN5HJzcxGh3jvHU1JScuXKldnZWQBg\nsVhM3xwAWLFixdzcHCrVknlKTI5BViwjI0MoFLrdbiawm5ubq66uxhcEg0GDwcAEdm63OyMj\nAw9EXl4eZi18sCbG/z3LHgp1aDThv/mufHq66soVdXMz+HwFMPP38O2/g+9ehF0NofpjZz51\n5gwbYI1G43vsMTh4EHbsgHdrZJbrY1sfCWC3HCl295LJZIcOHUIYgdb8ya8JBoOhUIj2oL/3\nwjx1vCMm0z9Yk5OTCwsLq1atuiU1Zbfbx8bG8vLy6GYKTuHpdLrz58+jBs5ms1kslmQVDlGY\nyoC9IY1G43K51q1bJxaLc3Jypqen96xZk/rWW7H/96/siZsOIBNQ+gt47hV4Kr1C/Mwzwl99\n9now46VLAqvVk5aWhs7+mF5PvwtvrigX4/F4Xq+XebtNJBKhUEipVDocDg6HI5VKiS2fmpry\n+XzIGBmNxt7e3joce2NUIBDADM1bDvPG4/HFxUUej5c8ByOVSm02G9qAJRO0qBLDgCmlUqnT\n6Zgv4HA4QqFwdnZWq9VKJJKFhQVMU6BLKBSij10ikdBqtYRqKjU11WAwYAIV9s2ZGAIJGzab\nvXHjRq/XOzw8TJyK4XA4FArhnGYyM4TaspSUlEgkgu05JhoOhUIo1ero6FCpVDKZjGgxozoQ\njT8MBgPxMCCVSr1er16vd7lcQqGQxWIxz9VYLGY2m6urq2OxmEgkQq6I6eshl8tFIhFuIfbf\nmSuXyWQ2m62xsZHeXcwZBUS3UqkUvYFQewDvrng8XltbG4/HW1tbb3mF2mw2j8eTl5dHKPAk\nEgk9M65SqRYXF4nBcy6Xi0o4FotltVoJzaJcLp+fnz9//jyLxUKIf1+du+npaTT0wQeYmZkZ\n5vwETeeHw2GVSkWc51KpNBaLWa3WjIwMl8u1tLSU/NuCx4XP5yfPHkml0pmZGa/Xm0gkzGYz\nam2ZL/D7/SMjI263OyUlpbKyMvmnCYeFORzOe/NSufP1++FVd3d3dnb2ihUrorW1HeXlq7//\n/fy2NmhogIEBNsTqoLEOGmfZhT+PPfcreNpozHjpJXjpJRCLYc8eOHgQDh6Ed/e077v8fn88\nHscT7wP6TjcLvYE+1DHkj319BIDdcqTYPRaXy03WetPV39+v1Woxe3HTpk33JUYpKyu7fPky\nPpSz2exkOvDo0aNIbhmNRqVSSTh5vvrqq0ajETVwdrs9kUjodDq9Xn9XEk6hUGCwVXp6OlrB\nVVdXP/zww0wm5q233goEAqFQyP322+sbW1KudEAkiItDwD8Oj7wMz09mrtmyde7bW7uffnpL\nSspNkFRdXX327FnaiJ9oIuP9D2/JSCgy74jIfOB7w+Gww+Eg3u5wOEKhEKZi4P2GuDN1dnYa\nbtisFBQUEMMubre7vb0dgQv6yDPfW1RUhKOp9BdhvlepVLLZbBxU9Hg8PB6P2DaxWEwnKFAU\nRQiJNmzYcOHChf7+fvwnIXsqKSlhBo/yeDwmDkBYEw6H8YtDUlpANBqNx+P0oU+2mtPr9UwG\nkQmAhEIhRVH4rVEjmBy5EYlEaLaPAEBZWVmxWOzq1av4T4lEQrQFE4nE6OgoyjoR3TLfvmLF\nitbWVvqfRHuruLhYq9XS9rwcDoe58sLCwsHBwdHRUdpxkBDM8Xi8cDh88eJF+psS3+vkyZO4\nb/v7+4uLi5laCB6Px+Px0LMazyiCPi8rKxsaGqIfPAhd46ZNm06cOEEr8O53mh4diJCSFIvF\nyeqIO9D5YrG4vLz80qVLOFdRUFBAdHJVKhVzIp5IuS0qKpqYmDh79iz+k1AWom5EKBTm5+eb\nzebW1tb9+/czD4rX621vb8cLXKPRbNq06b6eeO98/X54FY1GMR0EL3CxWOyIRPK/+lX46leh\nqwsaGuAPf4BAIC+mexH+9w9Y32mVH/mR5yvnY3v8furUKTh1CgCgogJw3mL7drhVqt+dPr29\nvR2bNgqFYtu2bR+g/UIkEmlra8Mf1dTU1G3btt374NRyMesjAOw+1Egxj8fz3e9+9855FWNj\nY/e+wv+eZTKZZmZmdu7cKZfLh4aGurq6mOEQdAWDQT6fn/ycpNPpUlNT8/Ly4vG4VqslHspP\nnDiBgY8ajaapqWloaGh6epqZrHVXEo7L5aampiJ0U6vVR44cKSwsLC0tlUgkLS0tGO4kk8km\nJiawY0W/0WazRez28itXs9++mGq+6TM3CSW/gOfOZz6Vu9Z1YJvhpf26xcVFi2WxtbX1yJEj\n9MsaGxsBQCQSSSQSm81GjFzggyOK/PBPTLWni5jzYE54AIDX641Go2vXrk1JSbl06RIhH7TZ\nbAaDIS8vr6SkZHx8fGZmpqioiMlOdXd3p6am1tXV+f3+y5cv63Q6Jojp6ekBgBUrVrBYLOTP\nmKzb8PAwRsUXFBQg5TY/P8+8uWIeV3FxscPhcDqd58+fZ+4Wk8kkFovT0tISiYTf76etZLB6\ne3vj8bhIJFIoFDabLRwOO51O2n4MsRSXy0Uo6Xa7iWBchE3Y2R8cHCSIKwygE4lEmDabSCSI\nFxBAsK+vj4mQEIplZ2dTFGU0GomG5pUrV+LxuEwmy8rK0mq1mG5M3zmQdBGLxXV1dXNzc0ND\nQ8Rtvq+vj81mYw96amqqr6/v4MGD9NJr164BQGZmJpfLXVhYCAQCgUCAJnKSm9qEYRsG+Mrl\ncvSLJj66vb09FAoVFRUVFBS0tLRMTU0xgR3a01AUVVRUZDKZAoHApUuXduzYQb9Aq9VyOJyM\njIxEImGxWIaHh5kTwefOnQPGVXDXqzW5EonE4cOHg8Fgc3Mz/z67fVVVVRqNxuPxSKXS5Pkq\nm83G4XDEYjFSa9PT08xWrMFgoCgKxaAWi0Wv1zOlog6HY2lpaf/+/Ww2e8WKFSdPnrTb7cz2\nek9Pj0wm27VrF8bRarVagrq+Q9HXb1VV1cDAQPL1++EVZroIhcL9+/e73e7W1tab5/nGjbBx\n49hzz8V/85ui5mb+xAQ7Ht3tPLYbjvkyVpzNee7vDF8csmUAwOgojI7CP/0TSCRQV3edxkuK\n0LtFjY6OBgKBAwcOcDicrq6ua9euvbdZ5lvW8PBwJBI5dOgQRVGdnZ2Dg4O3HMVbrrvWRwDY\nfaiRYpFIBIfU7vCa5BHLj1w5HI60tDTkTkpLS6enp4msSbvd3tXVFQgEuFzu6tWriQk4p9NZ\nVVWFXdRoNIotVLpaW1tdLlckEqG9rO5QqIRbu3Ytnaw1NjaWkZEhEAhow7nHHnuMfr3b7Waz\n2fjbQVHU8PAwnTEVb7/i/sY/PtD1Di92/aCHgXccHvm9pF7+yK5HH6NePAjHjl1UqVRIaL35\n5ptEVxGN+BHjNjY2Op1OZoAVcg8YSIp0TjKThHoshH0EzsOVoyQLX8AUAJnNZgwMnZ2dpccw\n6RsDJk/U1NTw+Xw+n5+ZmelwOAgxGQBMT0/fciejQB6/V2Vl5euvvz4xMUEDO6fTSVGURqNB\ncHD06FFitzgcDi6Xi84jcrmcgLNo5Pbggw/GYrFIJHLq1Knx8XGaBEKL2kgkgltIURRxcWFe\nMC1lI7acHqel2bLZ2VmaXcZHLFRr4duJ6x1hH+0sQ6BAZAJQX69WqxEh0XwkXuZ+v//MmTPI\n2BGbFwgEeDze+Pg4AAiFwmRfHkzdXVpaSklJGRoaYib7IaGFvBSbzUa9JrPPi18H9x7K7Jgr\ndzqdbDYbGak1a9Z0dXUxkTruln379qGRyuuvv07kegWDQaFQaDKZUHpIHFDch3i24DSMwWC4\n92nQRCIRDoebmprw0eWWusw7l0KhuB0kCofDFRUVaKlz4cIFYrDX4XBkZWVhEGpKSsrFixeZ\nlxjz6ONZR2y20+ncvn27QCAQCARZWVnEA8ydC69fFBRu3rx5bm6Oef1+qIWct8fjaW5uRqdu\nYp/bQqHQww+P7tqVOjFRfvlyRmsrOxSSWKcftX7rUd53vfsfeien/j/1e1paqUgEfD44cQJO\nnAAAKCyEBx+Ew4dh+/bbqvEcDkdeXh72+gsLC4eGhj7Ar4Yrpz3t0eh7ud5DfQSA3YcaKaZS\nqX73u9/d+TUvv/xy7x0ypD4KhZEPKAxyOBxsNpv5YB2LxTo6OjQaDWZN9vb2pqamooQZDeG6\nu7vPnz+PprWjo6NWq/WuQFuhUCBu4/F4iURixYoVDz30EIvFmpqakkqlTKrD6XTSWUw9PT3J\n9mA+nw9hKHbfJLHY3Ld+yvllQ6Z9kH6+1kLRr7nPDtTsq3s85ehXCunmQiKRwJtBNBol2D66\nEMzhy5gqnIyMDJvNxufzUUjn9/uZqim8f8Tj8dzcXKS1bjnPW1JSwuFwpqamEIvQS4VCYSKR\nUKvV5eXlIyMjc3NzTJkOjuI6HA6Mf3C73YS7GE6P4rAt3RWlSyaTLS4uarXaoqIiPHWZ/VDk\nimw2GwBg5hixWyKRyOLi4vbt23k8XltbG/G9xGJxIBDAwHvk55hcICpjhEJhYWFhKBTSarXE\nylNTU2kf/6WlJaJHjBi6tLQUVYDM+QMAyMnJGRoaisViBw4c0Ol0mLMCSbV69epEItHd3U0A\nO4FAEAqFLBZLZmYm7jQm2ycQCCiKWrNmjUwm43A4zc3NxLZRFBUKhXDCF+czmEsxrbirq4vG\nfExWDKVjIpFo586dFotlYGCA2HKJRKJUKtVqNUVRc3NzxE5DRIhD2RjDxST8srKyTCZTd3d3\nXV3dzMwMABC0GW55XV1dJBK5dOkSoQ7kcDiRSARpV2SdiamRO5dEIlEoFEqlksVizczMfLDT\n3ygKXLlyJepNiZWLRCKz2YxgzuFwYPYxvVSpVAoEgvb2do1GYzKZOBwO8/rFBzaHw5GRkRGP\nx10u132pU2QyGfoPqNVqpJn/ZJYiHA6Hx+MVFxfjiPHIyAixWyKRiNfr3b59O2/PnrZVqzhP\nPXXI6YSGBhgagnBYdu7oZ+HoZ4uKAv/nuQvZXzzWln72LNhsAAA6Hfz4x/DjH4NMBnV1cOAA\nHDwIhLoHdxo2MT7wUHJcOf79T5x4/jGrjwCwW44Ue/+Vl5en1WrPnDkjkUicTueqVauYv4Be\nr9fn88lksq6uLp1O19TU9Ktf/cpms2EM9p3XjAYEMpksIyMDNdSZmZnPPfccc7Tt9ddfBwa9\nRCjwMjIyrFYrraRh9pgAYPPmzRcuXDh9+jQAJDpNmac7gp9/Oid+nSyJAPck9VBz0aP8Q/lr\n1ppqRLpPf/rTzLenpaUtLCzQEkBi5evWrevp6aFTEAhJVnl5+djY2NLS0tzcXCKRYLFYhJQN\ni9bZEDhAJpMFAgGmlI2psUNkMzs7azAYcNsINUlFRUVvby+ayXG5XMJLhU6ATd4eANi6devR\no0f7+vrQyYKiKMJXFhVdeFwAgJhVZLPZ8Xj80qVLt9wtNTU158+fxwx7/JPpLoa05dLSEvbN\nIemGh2/Hn28EUsylO3fuPHbsGC1EY7PZTNkowp14PE7LqgilWm5ursFgQGMRSAIoO3fuPHXq\n1OXLl/GfKACgl3I4HI1G09nZSS8l/I25XO7S0lJzczP+k5AWpaenG43GeDyOXCM6q9FLaSrx\n7NmzeA4QuwWznt1udyKRWFpaIq6RTZs2vfPOO/S3xhhQemlBQUFvb6/T6aTPc2JMB8dsccuT\n53m3bt3a0tKCsgT8mgTym5ub6+7ujkajmM9LnEsVFRUdHR0IKFks1gcrNSsrKxsdHT127Bjq\nMgnDxeLiYr1e//bbbwuFQpfLRbTtOBzOjh07hoaGJiYmZDLZzp07ie9VVVXV2dlpMplCoVAi\nkUDm7x6rsLBwZGQEUXIkEsHhrffzTe+rVq1a1dvbi77Q2GhmLsUTr7e3l8vlhkKhuEgEjz8O\nX/sadHRAQwO8/josLYFWK/rbbz7E+85DDz+c+P3zvbJd75ylzpyB7m6IxcDrhWPH4Ngx/Kzr\njdqtW4HDgYqKisbGxnfeeQenzZgd//dfFRUVzc3N77zzDkVRfr+/trb2A1z5J6o+AsBuOVLs\n/ReHw0HlUDAYzM/Pd7vdR48epXup09PTer2eoDeSSyaT5ebmlpSUoLs9Vl5eHtrZYx9EqVTu\n2rWL+S7UVAGjM7K4uMgU0+zYsQN/XimKKisrY6pkAGB+ft5vSbBeG9zQf6o8fJOa0kFhY8Fz\ngq88/cAzGZqpTpfLKZWmJ6s9du/ePTY2ptVq8ZZDCPmRpKGN9JIf2T/1qU9duXIFLRiIlVMU\nhQwQfjXUMBEvwM4UdvSIbC6MysDQjlgs5vV6ifnQ2dlZetsikYjdbk+ejEF0SIjY4EYTGT8R\nW8BEfoNKpbLb7UhhRqNR4oaHfefU1FQkQogWM+qmkYhls9no8EfvOvTGw2hggUCwsLBA0AlW\nqxXDuyiKwmloJieHPUR6XxGTs4hmsJWJg6UEGt60aZNSqRweHk4kEhUVFUSqkkAgOHLkyKVL\nlwKBQHp6OjFDAABGo5GiqJSUlKWlpVAoNDU1xVwDm81msVj4xIJZDsz3ut1uiqKwGRcOh5Fm\npr87UmiYBQIAfr+fYOxUKhXmHGCXnECNeJqh1AwTO4gtf/TRRxsbGz0ej1Ao3Lt3L3FAMToF\nkVnyPC99ouLTCxEFGw6HOzs7BQJBaWmpyWQaGhpKT09nXr/z8/MikUilUuFoqtVqvZ2V8Xuo\nlStXYjYuh8NZuXIlcS7x+fz9+/fPzc2Fw+F169Ylx+9KpdLko0wXKnfn5+c5HE5ubu79Blcc\nPnx4cHDQ7XYrlcrKysr7eu/7rMLCQoVCYbVaMfiOOBXFYjFmIkej0UAgQA+HwZYtsGUL/Mu/\nwG9/Cw0NMDwM4TC8/jr1+uvriovXPffcd0590cFKO38e3nkHzp4FfN/gIAwOwj/8A6SkwN69\ncOCAdPfuQ7HYXDwe///svXd8XOd1Jnzu9D7ADMoM6qD3QhQSYG9gk0RRtuVdx4mdnwuV7Bd7\n7dixZbnEiZO4ZDd2vHG8khWvY3vtVZclEewQCkH0DgyAQR2UGWBQpvf2/XHAq1fvsEGibVHi\n+YM/knfunTv33ve+z/ucc54nNTX13hpyxMXFnTx5cmlpCWU4HzB27zjuC2D3wFLsriIQCKDc\niUaj4fF4Pp/PZDLNvj0mJiaoXr/YQK4i++2Rn59/G9Hj+Pj4D33oQzfdhKM0IyMDMylLS0uz\ns7PkxDAxMbGyspKfnx8MBvV6PSakAMBqhZZ/6Qv9+48f33xZBlvYJQzcXvkhy5mzO77zobOZ\nW4yIWl0X+71sFBUVxfogYZhMpvT0dOSrLBZLa2srpYPldrtRvQ+lN6h5pbi4uL+/n8fjIWal\nVvyBQACnYQ6Hg5lTcitW5uEEj8VJZHYb/QnS0tLq6+v9fn9jY+Pk5CTFXbHkUGzMzc1Fo1Es\nVURP2IWFBbYwHA1PDx06hJmp9vb25eVlEvIGg0Gc7NmfRobb7WYYJikpye12SySS5eVlstCN\nYZj8/PzJyUkWKKC+GnnNc3NzMfM+Nzc3Pj5O8qCzs7MMw6CZvVwuX1hYMJvNLBfCQkytVutw\nONBhgjq9vLw8it0kQyQSHTt27KabUPOvvr4evw5XPiSwQ7cJvCax0huRSCQajZaXl6tUqsHB\nQZfLRX4ACw1DoZBarbbZbLEOvABgNpsRWfJ4POqimc3mxMREJDAcDseFCxdQ8pf8TKyYDhtF\nRUXXr19PSkoKh8Obm5ukXjQAmEwmjUazb98+uGEOQYI/HL8NDQ0ikaikpAQvCzl+TSZTRUUF\n1uQNDg6aTCYK2K2urk5OTgYCgeTk5OLi4thyCLQilEgkNxVp0mg0t9HI5PP57wZHKpXKd5NC\npYxx/5Bxm8LE/Pz8q1evBgIBPp+/urpKKQtCXBx87nPwuc9BXx888wz83/8LbjdMTcFXvgLf\n+Ib60Uc/dvbsx/7zSCTK9PXB+fOANF4kAnY7vPgivPgiMIywoiL35Ek4dQrq6uDeOpaJxeLb\njN8HcZdxnwA7AHhgKXaLCAaD2MT35ptvbm5uovW7w+HA5Mjtg62EQ/W7zMxMtI44derUvWpi\nR5bFbrdnZWVhnyP1Zp+bmysrK0OiLhKJjI8b2y9IV3/02/rhp89E+9mPrfJSewtPmz9U96df\n++i96oHn8XgsNkKZVhLV3VEuAUXmsNpmc3PT4/GQyA+7C5VKJYfD2dzcpCrxkbGTSCQikcjr\n9SKCpE4PeyRFIhGme6gzx9k3tm8UAFD4F1k6/IEkCEChFvaAwWCQ+moulysSiZKSkiKRCHoE\nk1vZ6iKlUoklWZRqmsvlQrEPrKLDVmvyzNleDZ/PR83leFkikQgWD1BnzuVyGYYpLi72+Xwq\nlYrtO7kngfSA2WzG2xqNRikKRywWJyQk4PlgoSG5NT4+Hh8Sdkdyd/yZxcXFXq9XrVZPTU1R\nCW6DwTA2Npafnx+JRPr7+7EPg9wd1wl4W7fbo5CamnrkyJHFxUXkrakVGibs8O9+v59KIuPv\nRf4Vz4E6c1xDsrtTN9Rqtba1tel0uuTk5KmpKa/XSyVM2Twvl8utqKigCPs7RjAYNBqNaOd6\nz3sXAoEAliZrtdpYOvA9G3FxccePH5+bm4tEIsXFxWRl4duiuhqefhp+8AN47jn4yU9geBgC\nAXjhBXjhBcjL43z607Wf+lTttxK/9S1YX4eLF6GxES5dgvV1iEZhcBAGB+G734X4eGhogJMn\n4cQJeKcS9Q/i3sf9BOweBOttT8bCwgKVLIsNkUik0WjUanViYmJeXt7evXtzcnKKiopwMrPb\n7RcvXjx9+jROk42NjWaz+V7lU/ArHA6HXq/H86Rekcg8dXX19/TEGX5j39Hz3OOh/8dSdCHg\n9WgOLT10VPhwvi8QUMRYlwYCgZaWFpfLJRKJ9u3bF1u73draiuoesdRdVlbWlStXrl27JpFI\nKA8DuAu5BKPRmJ2djStjgUCwsLBA8l5IyYjFYrFYTHUpwg1NO0zeoQkvifw4HI5AINDr9QsL\nC+Fw2Ov1UhU82GSAwrMOh4Oa5lFCpbGxUS6X2+12Ho9H7s7hcHQ6HerM3bT0MD8/f3BwEHFV\nMBikUsCIrrBKj8/nBwIB8sxDoRD25CJPiXWEJLGRk5PT1taGnwmHw9RXI0ZcW1vzer2InMgF\nBo/Hy8zMnJiYkEgkoVAoEAjEFjZZrVasK8jIyLjllHazQP1esmyREvDLycnp6urC3JPb7aaI\nkPT09LGxMeTzIpFIWloaCYDEYjFqrKSlpaGjCVUdaDQaMzIyULUkPT3daDSSwC4jI2NiYqKl\npSUuLg5VNqhREIlE5ufnNzY2ZDJZTk6OIEaaTKVSUQIrbGRmZk5OTra2tiJFmpWVRS5vtFqt\nQCBoamri8/l4QylmOjc3d3h42Ol0BgKBpaUlqi4KBwUqX8bFxbW1tdXU1LDH9/v9nZ2dDMMg\nkdkShAnzAAAgAElEQVTf35+UlEStE24TPp/v8uXL2KwzOjpaW1tLXrS7idHR0cXFRR6PV1FR\nQdVpeL3ey5cv4yJndHQUfc+2dfA/YshkMurpvWUolXD2LJw9Cyhx/MIL4PPB1BQ8+ST87d/C\nhz8MZ88m7N//8Y8zH/84RCLQ0wONjXD+PPT1QSQCVis8/zw8/zwwDOzYAUjj7doF2++NfhD3\nMh4Au/di4CuSAnDT09OU9VNsYBYVF6/79u1jE6k8Hu/ChQvYa+nxeJRKJVmGzMrn4p+YJbxX\nvwUPxaYaqSRUJALz8+nP/pDRdXR9wvvsX8FbFN2GXGd//DPMpw8vLi0CgD8YBACBQEBOaeFw\n+LXXXkMDKKfT2djYeObMGXJWO3fuHKY7I5HIyMiIz+cjkYRSqTx8+PD09LTX662oqKDyX7eX\nS8Bvxwyp0+lE5QVyK/oibG5uIoajaqqQdEERCplMFptVTElJmZ+fdzqduDt1biiy7/F4gsFg\ncnIy9WAIBIKGhoaenh6Px6NSqWKVV00mE8nzuVwuMiGFeIhNOFK/i8PhCIXCtLQ0l8uVmpqK\n8h/UReNwOHhWNpuNIvzcbjeLYlG1gTpzdHfwer0JCQkWi4XKBfN4vEgkgmiS4pYAwGKxtLS0\nYG/pm2++uXv3bgo/3SZQRQL/jvfC6XSSSUAEbbg4wapKanckQTG3HjtU6+vrp6am1tfX4+Li\n6urqqERqIBCYnZ3VarUoNUeRTxKJ5MiRIwaDweVyxdahAkBXV5fFYtFqtfPz8/Pz8w0NDXdv\n9iqVSvHgbre7uLiYWt5wOByVSmWxWPCBkclkFJGZl5cnFAqXlpa4XO7BgwepQlUyZx07ghDj\nHj16FPsA3njjDaPReLeIBGB6elooFB49epTD4RgMhpGRkW0BOyxCkEgkaEO3d+9e8lE3GAxS\nqfTw4cMMw4yPj4+Ojt5HwO6dxN69sHcv/OhH8MtfwjPPwPg4+P3wm9/Ab34DBQVw9ix88pMc\ntXrXLti1C/7u78BigQsX4Px5uHQJNjchGoX+fujvh3/8R1CpoKFhSwA5xtnuQfwh4gGw+yPH\nTUm4u3RlIGvgvF5vcnLyY489xuFw2tra5HI52Z7W3t7OMAwWbFmtVnSmZwEQSi00NTWJRCKU\nBYnVO/D7/VjAp9VqY+eMUCh07do1n8+XlZVFLegRUiBxFQqFsMYcAAYH4Te/gdFf9p9ZffpX\n8Fs5bDmKhhmeZefDCU+dVT98XM3hjI6OIj0TiURQ9IGcKqampiKRSF5eXigUEolE4+Pjg4OD\nZK7H7XajBRmfzzcYDDMzMxRFxOfzzWZzOBxWKBTUxINyCefPn8cmA0ouAQAYhuHz+Qh0EAaR\nW7OyssxmM7JxEGMGgDoma2trYrEYCUWKUMFyK/aOzMzMkA2k6enpHR0d+L02my12ylEqlVKp\n1O/3K5VKqgYZKcDExMSsrCyBQNDe3j44OEgCoKmpKY1GEwgEQqFQXFzc5OQkOV+iPMTa2hqX\nyzWZTAqFggSFiHsEAkFCQoJAILDZbFQSeXx8XCqVPvTQQwDQ1NQ0Pz9P/i6tVosOCigHHRcX\nR+YN8TqUlpa6XC6xWLy4uGg0GklRWYPBkJqaGg6Hw+FwZmYm/pO6Mr29vQ6HIz09nSrlwR6U\noqIin88nlUrHx8dXV1fJzxgMhrS0NGwETkhIMBgM5DBB/RTUvhGJREtLS6RAMQBgsWYgEBCJ\nRDetCmcYBg9+U4U/qVSKWo8KhYKC6R6PZ3Fxsby83Ol0ovqXyWTaFgqRy+Wpqal+vz8hIYE6\nuNPpXFlZwYPL5fLx8fGVlRXqqiqVyrW1NR6PF1uvlp6e3tTUNDg4KJPJ8HaQx8eh8Y6XkR6P\nR6FQjI6OBgIBZL635RWLVwlLbF999dXR0VES2Hk8HqyFAACVSjU2NhZbWLmxseFwOJRK5a3Y\n0D9WoFlzOBxGidBt7KlSwRe+AF/4ArS2wjPPwEsvgc8Hk5PwpS/BU08hgQcHDgBAUhJ84hPw\niU9AOAxdXXD+PJw/D/39EI3C5iY89xw89xxwOFBVtUXj1db+8Wm8QCCAipIajSaW1X4/xX0A\n7MyN//SPjaY7fw4AAFJOff2pU9sQYfqDxU1bGSYnJ2NbGqkQCoWpqalUK0NeXh6VsHC73c3N\nzSgLIpVKqV4whBcdHR3I2AGA1+tln2ys13a73Ww9FvUu2NzcbGlpwYJ9Lpd75MgRcmZyuVzn\nz5/Hd/TQ0JDRaCTr03FeZw++uir/8Y+VrY2uHZP/7wl4+gfQy37SGZ9m/fCj5lNHdj32GHnm\niOpQ0A4AwuEwiyzxf6ampti5MFZNGrmQm15bk8l07do1/Pv4+LjRaCQNObB4iGW2OBwOyVUg\n7RQOh1kxFOqlv76+jv+D50YJx6CAHNxoQUWZLnZ6iEQimPbCttZoNPpWaxsA3GieYE0CYrso\nWCmTmZmZubm5j3zkI+wm3AuV+RBJUNgLmTb8u8PhoGZKVAtjnaNQwIw8MfxzcnISy+yoYs1Q\nKMQ+ugqFgkpSY76PPR9qKg0Gg9FodGRkBC8Lh8OhbBJQuIf9J8WKhcPhV155BZ+T9fX12dnZ\n48ePs1vxoRofH8eDw9uL5PDg5NdR/YA4xNB2DwMbAth/Xrx4EWm89fX1+fn5xx57jKQbUc5j\nfX2d/eHURXvttdfwkZibm6MMrLBCbnh4GJ80DoeDt/UuIxwONzc32+12oVCINXAkKIw9OCVn\nPTMzg6o6AGAwGJB+Y7eq1erKykq9Xh+JROLi4ih1m9TU1L6+vitXrqjVanyiMrdjYqpQKFAP\niGGY2dlZ9P+9y32x2YVFokKhkLpoCQkJ4+PjWVlZIpFoampKrVZTA7yvr292dlYqlbrd7ry8\nvJtqIf1Rwuv1Xr16FcsWQ6HQvn37tlWTsBX798P+/fCv/7pF4E1MvEXgFRYigQcqFQBwuVvt\ntt/5DqyuvkXjWa0QiUBvL/T2wne+A2o1HDsGp07B8eOwHcXAexYOh4O17AOAw4cP36Yd8H6P\n+wDYuQ0Xfv7vbd47aHFsRUnCX/zRgd1NSThsVLz9jhQJh6HT6e7mbSWVSk+cOIEyudRci1s3\nNja0Wq1GoxkaGgoGgyQudLlcq6urBQUFFRUVFoulubl5bGyMbOAfHh5OSUnZuXNnNBptaWnR\n6/WkXWxzc3M0Gt29e7dKpbpy5QqlDo9hs4mvX09vb8+QTS88AU99G36jgC2gE2G4SxXV5tMn\nTOXloUik+O2uPph3q66ujouLQ28Mki9MSkqanZ3lcDhYo0P9LjYSEhKwQYH6/46ODgCor69X\nq9XoOUtuHR0dDYfDuKbv7e2dnZ0dHBxkX9+YXeXz+VVVVX6/H422yN1XVlb4fD5Ch4GBAewu\nZOcGTNEePXpUpVKtr683NTWRxlwYAoGgrq7O6XRidTm5CSvkDh48yOfzr169SrmZtbe3A0Bi\nYuKuXbtaWlqcTufExATb4IlliNFoNDMzc319HVlDcne73Y4Kc2Kx+Nq1a9RzazAYfD7f7t27\nhUKhxWIZGxuz2+3sBCkQCORyOXqEI0KiiDGUaRgdHRUIBPPz8xQ8amtri0ajFRUVBQUF6AVi\nsVjY4idciojF4qqqqs3NzfHxcSrjibeYlUqhIAhaitXW1ioUipGREYvFQnY648EZwkGO6krB\noyEf3N3dTT0tuDUxMTE1NRVVlMlyT5fLZbfbk5KSDh48uLi42NHR0dXVRa6+AoEAdjagtDLl\nqDEwMBAOh48cOSIWi9HAqrq6mh3jCBAVCsXOnTvxbXPHmg0y5ubmPB7PQw89JBQKJycn+/v7\nSWCHdz8+Pr66unpqaspoNFLjaHh4WC6XHzt2LBQKvfHGG93d3SRcdjgcw8PDycnJMpnMaDTq\n9XqSMhcKhXV1dV1dXUhaozr03Z855hDY3vNt2Q5hXcr4+LhAIHA6nS6Xi6p2yM3N3djYQHk/\nhUKxZ88eciu+5A8cOIBFJq2trdnZ2ds6+d9fjI+PoxQ2h8Pp7e0dHh6m+qABAJeFEonkVnQp\n+qzw1Gr44hffRuD5/TAxAX/91/DUU/CRj8DZs7BvH7tXcjJ88pPwyU9COAwdHVs03uAgRKOw\nsQG//S389rfA4UBNDZw6BSdPQk0NbMee913F6OioWq3es2dPNBq9fv36yMjIbaRw7ve4D4Bd\n7hdaNz7U9OO/+LMnz5sg42M//cmf3NLoHkCRv40F37uMd9PKkJKSQgG4wsLCd6kJxOVyk25R\n0YDdl0tLS0tLSwiMcFTjVuQJsLEgKSmJy+VS4AxTPEggoZ4wuRWntI6ODlZhixUns1rhf//v\n4HPPHdTrE9MjC/8JHzoAb9moh1PSuWc/3V5QYJfJvF4vE40KhUJqMkZhraGhoVAoFB8fj1QW\ni+1wjsHMIP5PbA6LYRiWCImVqIAb8A5nCHKmR9IeMzU1NTWzs7MkbYY0WyAQQBQVa+zDMEwo\nFEIONTZ5jf9jNpu5XC6adMV+JhKJNDU1YbMCxaEi5mhubo79UXBDDS4xMXFwcDAzMxMrxFlg\nxz6frEMXtaDHaXJgYAAbPCk+Dx3JEFniV1ssFjIHt2/fvs7OTnTBKikpoXLQe/bsuXz5MkoQ\ni8XiAwcOkFvRmAuz+XV1dY2NjWRLCpI6Pp8PrznZ28sGS3OyxBsbSOaRpvJLS0vsZcGLJpfL\nHQ4Hn88Ph8MUhYN0dXd3NwCg+iC5Fem0tbU19iFZWVlhsQKaplRUVABAenp6Z2cnxeAiDkZp\nZVb7kA3sj0GpSBy2VquV1RzBM49Go1euXBEKhduFOEgV48jFVDippcIat1y5cgV1HylgFwqF\ntFottvsolUoqBWE0GtHNHQCSkpI6OjoqKyvJJ5YtO4lGo5TZ6x3D7XbLZLJDhw4Fg8HV1dX+\n/n7y5XDHOHDgwJtvvonWLGq1mlysAgDDMHV1dZWVlcFgUCaTUaPM5XJxOBwcgADA4XCcTud7\nBNg5nc7ExER8HWm1WmrVBwAzMzP4RhWJRLW1tVThjc1m6+joYEdieXk5MAwcOAAHDsCPfwz/\n+Z/wzDMwOQk+H/z61/DrX0NxMZw9C5/4BBBMLZe7VbP3j/8IZvMWwrtyBWw2iESguxu6u+Hb\n34bERDh+HE6ehGPH4B2witu9LDk5Ofh+0Gg0t/JjfH/EfQDsAECccfirv/zO1ZRPX5bnH3z4\n4cI773Hv49KlS2azGbk3/PNuXBkyMjIQt2VlZbF//uELMuLi4sLh8PHjxwUCwfT0NKYt2K04\ncfb29u7evXtmZiYcDlMAEXvxsHppeXmZwgE4C2ZkZBQWFl6+fBkANBrN5cvwk5/AhQvg92sB\n4ARc+DX8qRo2ACDK4TCnTsHZs9xTp4DL3fzd76orK1NSUhiGGR0dZXN8GKgi0dDQIBaLh4eH\ng8Eg+eLGSU6hUNTU1IyMjGDhF7k7lsHt378f801UXQXO/Xw+XyQSYZsCybLodLrNzc1Lly4d\nO3YMVfvJ/lCWsduzZ4/b7e7o6KBmeolEgsQJ9odiXpLdmpiYyDDM1NTU2NgYqpOQVeccDkcm\nkyHGxQq/WHViAFAqlXK5HEEDGSqVamlpyWAw6HS6sbEx6sx5PJ5MJtNqtQUFBcFgEHstyd0R\ntaD4C2rakVtRY0WlUu3YsePatWtYxkd+QCaTHT169FYGbjwe7+TJkwguY+dgtVq9vLzc2dlZ\nV1eHeROyO5vN8ZWXly8vL29sbNyUzD58+DCHw8F+SfL/8e6rVKqKiorW1tZwOEzWiuFTLRKJ\nDh8+bDabu7q6qHGKXREI9LGXk9wqkUjcbjeW7rW1tQWDQbJgKzMzc3h4GNksrNaiDo4ieVhF\nFwgEqCsjFApDoVBhYWFWVhY+imS6E0erUqlsaGgwGo19fX23WuDdNHB0o8zk3NycWCwmU9iI\ny9VqdUNDA5LW1MHRVrioqMjr9aKUN7k1FAqxg04gEGDGmX0wNjc3zWZzVlZWSUnJ7OysXq9f\nXFy8ewsHFNxxOp3x8fFYj3H3qA53P3PmDF7tW2VF0En2ppvC4TCOgr6+PrS0vvuv/r1GXFyc\nyWTKy8vDW0PdEbvd3t/fX11drdFopqenOzs7H374YbLqoLOzMz4+fv/+/Xa7vbOzU61WvzVM\n1Gr467+GL34RWlrgmWfg5ZfB7we9Hr7wBXjySXj8cTh7Fvbupc5Hq4VPfQo+9SkIheD69S2Q\nNzQEALC2tgUOuVyord2yuKiu/r3QeHFxcYuLi5jrX1xcvI/0a95B3B/ADgAg4ejRSrhMF1D9\n4YLyqqIiKSkJQRuJ4dLT098joz09PX15efnixYvYSLhr1y5yWpJIJNnZ2bOzs1iYFRcXR6XP\nduzY0dLS8sorrwCAUqmkZNYzMjIMBoPRaDQajZEI09WV/r3vRQcGto7Pgcg/if/2K75/YqIR\nAJg5dkz5ve8lvL01dXR0VK/XY8kUVWSTlZVlMpnOnz+Pb22KPMd0mMPhYI2eKHSl0+nm5uZY\nuyRKokIikbhcrmAwiMQPTq7sKz43N3dsbMxms+FlEQgEpFoKpuo4HE5TUxNOybFqcKgJgjMZ\n1vSwl12hUJSWlo6OjiJ4Ki8vp/jampqatrY2hJ5yuZy6I2zr5U2TbllZWcvLy6FQaGpqCr+R\nos127NjR3t4+PT2NCINKQuXl5U1MTLBXksJt+P+bm5tXrlxhu0fJyR7LPT0eD4fDKSwsjBXl\nx6VRNBpNT0/Pz88nH8U9e/a8+OKLCwsLaLwhk8lIAOR0OvHKs5VVFCeXmJhosVjY2029u3H2\n2tzcZEttHA4HW2eDssBzc3OvvPIKwzBCoZCSn8WnhfUco+5XcnLy+vr64uIiKrkAQDAYZBGS\nWCxOTExcW1vDZ4nP51NybvhDkGmLbcSRyWQcDmdiYoLtQfb7/ezaTCKRZGZmGo3GLTNlmWxb\nEq8o04hDjMvlUg4rcrlcp9Nhsy3cKBchP7Bz58729vZXX30VryG1e0pKSltb28TEhFwu1+v1\nGo2GHCbI/dfU1DAMU1paOj4+brFY7h7Y7dq167XXXmPvJtUXBQBut3tkZMRmsymVyrKyspv6\n2L6zInrs9UbHHbxZlK/xHzGKi4vX1tZef/11ZPop1y/UxMGbWFpaOjk5abfb2bV6IBBwOBz1\n9fVSqVQqlSYnJ6+trdEdSAwDBw/CwYOwvg6/+AX87GdgMIDPB7/6FfzqV1BcDE88AX/2ZxAj\nK8jjbVXuffe7sLz8Fo3ncEA4DJ2d0NkJf/u3kJQEx4/DqVNw7BjcQw6kvLy8ubkZH1SZTEb5\nKL7P4v4BdpB+9C8+//+t7LzHGpTbDJFIRNFv+Jd7a319zwNbYlHZNT4+PvZdVlNTk5eXZzab\nVSpV7HJfJpOdOHFic3MTtQ8oruJG8lTU0qJ7+eXslRXZjb3g02c2vjn5p+qeCwAQEol6n3hi\nae/eR4qLqYNj9grfjxSM4HA4+/bts9ls2PhG1bMjbyESiVQqld1ud7vd1O5oIzY1NcXn88vK\nyiiaBE2W1Go1+p5RCWjs0hCJRAjIgsEgmejBtoCcnBy1Ws3j8QYHB2MlnQOBAFoVoZ8sdd1y\nc3MDgcDm5qZaraY0JgDAaDQKBILU1NRAILC4uLi5uUkSpYg+MzMz/X6/w+FAxMMGatiKRCKk\nzbxeL5VVRGlfrVYbCASWl5dtNht5ZRAf4A/3+/0UdkSwEh8fLxaLbTabx+OhapAvXrwYCoWk\nUqnP5xsbGxOJROSvMxqN/f39+fn5PB5vfHw8HA4XE8+D1+vl8Xh4JcPhMAoFs9cNuZP8/HyR\nSCSVSru6uqgnWaPRsJnQaDRKPcnI71ZUVDidTg6HMz09TT0ty8vLXC4XuVKfz0eW9wEAokw8\nN6/XS2WBsbFDKBTyeDyPxxONRimmBwE6NjKjbQbVG4s/imEYu91OlXNIpVKxWFxeXu52u/Fh\nI0k1PKBCoZDL5YFAwG63e73euxcYZxhmz549NpvN7/ff9OWwc+fOgoICk8mUkJAQa7uXkpLy\n6KOPzs/PCwSCjIwMivpKTk6urq4eHx/3+/0ajYZqnsBssl6vLyoqQvXBbYkM22y2cDiMYNFq\ntcaO3+bmZqlUmpubazKZmpubT5w4sS1K7zaBz/zu3bvRh7ejo+O9U4nP5/OPHDlitVrR6YRa\ncKIiOmbbsYWLfFTQEhChMLZ83a7xIiEBvvxl+NKXoLkZnn4aXnkFAgHQ6+G///e3CLy31yay\nkZoKn/kMfOYzEAxCe/uWidnwMACAxbIFEblc2LVri8arqoJ3qcElFouPHz+OdQvol/iuDvfe\njvsI2DFVn/rXqjt/7PcVly9fLi4upjS97qNANyH0V7jpWDWbzaurq263W6VSxb7+vF4vAjuU\nXSA3OZ3OCxfyXnml2GbbmmwSEqKf/zzz3/f0Kj71ETAaASCUm2v+yU+yKirWurtXVlZIWm51\ndRURJ3oSLC8vU6Sdz+fDgv2MjAxKpwrPEzuO4YZ/K3XmmZmZt2q1k8lk6+vrDodDIpFQKWAA\n2NjY8Pl8Z86cQb7t1VdfpQSKS0tLe3p6EhMTfT6fz+ejloCYqzWbzQgKYxVlm5ubfT6fRCKZ\nn59fW1tDxSzcGo1GFxcX6+vr8evC4fDCwgJ51woKCkZHR7FxJBKJxMpMRKPRtLS01NRUrPuk\nvnppaWnfvn1obtva2rq4uEgCO5/Px+fzi4qKwuGw0WikgJ1cLkcQbLfbsTqKRNsejycUCuXk\n5FRXV0ej0RdffHFiYoIEdgsLC6j8h/YSCwsLJLDDjpOCggK08ejs7CRLl4RCoVKpRIExNG6n\nNM+wuHNjYyMajaIfLrm1rKxsfn4eGzzD4XBcXBy5HsPFAytm9tJLLxkMBhLYFRYWtrS8VSFK\nVQfiVeJyuXK5HDudyWWG2+1eX18vLi5eX1+Xy+V+vx+t1djdsTAO8Vyse69Op5uamsI2BYvF\nUlRURE5LTqfTarXW1dW5XC6JRDI6OkqW92G4XK7l5WUOh5Oenn7T3OLtM1P4iyixITb8fn8k\nEkHmO9bHNisrizoZNpKSklBJBAsGZDLZrT5501hYWEhJScG2BpPJ1NnZieQfbsXxe+LECS6X\nm52dHTt+AcBms7Fesdui7rKyskZHR9vb27EsWCwWb6uf9/cdsfJJbGg0GqVSefHixfj4+LW1\nNZ1OR3LPDMOUlJT09PTo9Xr0EbnzHWEYOHQIDh2CtbUtAm9qCrxe+OUv4Ze/hNJSOHsW/uzP\n4BYPGJ+/Rf99//uwtPQWjed0QjgM16/D9evwzW9CcvIWwmtoiKUC7zY4HM47aRC+D+M+AnZ/\n5Kirq3uP03K3Cax9DgQCMplsdHS0vLycUpu7fPmy1WpFb0Gj0Xj69GkSiKyurra1tSkUinA4\nPDo6euTIEbJM+Nlnc597Tod/T0pyP/zw5P/4H8Xxrz0Hp54Avx8AFuvrk19/PV2tvmlfcDgc\n1uv1cXFxwWAQ9dXIrailAgBcLndlZcVisVA5LAxW7uSOrcdkZGZm2mw2VNcTCoWUXMIdD6XT\n6eRyuclk4vP5Op0utr8B0683Pdr6+joayWMF3sbGBlJ35LcHg8Hl5eWbzjc6nW58fJw9fvHb\nSVCUcV5dXWVJqW2VBKBexsjICJfLpXpZ4Ibr1632ZXXs4EYfA9UH4PP5zGYzqsOEw2HqomGz\n3uDgoFKpxAYLKo4ePdrf32+xWBQKxY4dOyhE63K52GZVs9kca36lUCgcDgeeGDXH3/F2r6+v\nCwQCfD7X1tbW19dJ2Id5zMLCQo/Ho1arx8bGYvt49Ho9j8dbW1ujjEYAQCgUsto6sesTPp/f\n0NAwPz/v8/ny8/NvmvLr7u5Wq9XI9lG/5fbj947R19c3Pz+vUqkMBgPbCspuNZvN7e3tSqUy\nGAyOjY0dPXp0W+/JI0eOzM7Orq+vq1QqrG2/+33JiN3xjjd0cXER68n8fr9er8dC3rv8Og6H\n88gjj/T399vt9rS0tNgs8Hs2OBzOoUOH5ufnXS6XTqeLTXzjOhZFpm5qanzLSEyEv/kb+PKX\n4c034emn4dVXIRCA0VH4/Ofhq1+F//Jf4OxZeHumnoq0NPjsZ+Gzn4VAAK5d2wJ5Y2MAAKur\n8ItfwC9+ATwe1NVtqR9XVr5bGu/9Gg+A3Qci5ufnQ6HQqVOneDye0Wjs7e3Ny8tjQYzdbrda\nrbhmRQUyvV5PFhiNjY1lZ2dXVVVFo9Fr166Nj4+zxWpPPgmI6hITvX/+55NVVdMcJhz3o9/B\nd74D0Sjw+dHvf19fXDw1NJSRkbG6uhqJRGKnJSQSAoHA5OQk9TpG38yHHnqIYZiBgYH5+XkS\n2GGGEXNYPp+PVcsjw2KxmEwmXLVTdVHZ2dlra2tIaPF4PAoyokDxuXPn2B6L2NWeWq0WCATY\nfkFtwvRoXl6eRCIZHh6mJnJklfLz8/1+f2Jiol6vJ/scsZeis7OTLc6jnJomJiZUKtXBgwex\n42RsbIx8QSclJaGZrEgkQrldMsPF4XDS0tJ6e3vz8/OdTqfFYiktLSUPLpFIAoEAiwUprhF7\nhtCBwOPx+P1+Mm+I8rkTExNzc3M4N1ArfvTYKCgo4PP5w8PDVI4YUWNCQoJGo/H5fE6nk+Ku\nuFwuKeFGBerMFRUVMQyj1+upg6No8EMPPYSqzteuXSssLGSPj1nIjo6OlJSUzc3NcDic/3bl\nHZPJVFhYiCuiycnJxcVFEk/n5+ebTCZ0FUORSPKa41MtFouLiopWVlZMJhOVN0T5axSaUSgU\nsaCQz+fn5OSQpXXkJrgBpkUiESJX8gNjY2MpKSn48KNMDG0Mf+vweDwzMzNHjhxRq9Ver/f8\n+fOrq6vkEB4dHc3Ly6uoqIhGo62trRMTE1R76e2DYZicnJzYUoS7ifT09ObmZqz1dLlc6enp\n5A/H8Xvt2rXU1FSTyYSi2eTuw8PDpaWlRUVF0Wj06tWrBoMB25bvMjgczrZ+6R84UNg8lmKI\nXjgAACAASURBVEAFAA6HcyvHSNSJrK2tzcrKCofDFy9enJubowbCHYJh4PBhOHwYLJYtAm96\nGrzeLVxWVgZnz8Kf/umtCDwMgWDrGP/8z7CwsIXwrl4FlwtCIbh2Da5dg6eeAq12i8Y7evT2\nx/vAxQNg94EIlGjHGVqtVofDYXKGwCzkyspKcnIyliBQNVsejwffvCiSx8qdfO1r8P3vAwAk\nJrq//e3mhAQ3EwzW/uxnDGasEhLglVeYvXv3eTwjIyPT09MymezAgQPUuyYajaampqJDuVar\npaY0j8fD5XLfeOONaDSKMxN62+NWzH9hJhT/h1JbmJub6+3tFYvF0Wh0cnLy2LFjJFeBigYV\nFRWBQEAul1NVF0hcoYxFJBLh8XgU77WxsdHS0oKwRqFQHDt2jDxCOBxGl1iLxYLuWGRnBk7D\nExMTWPICMXK4LpdLpVJhnZ/b7bZarSQ/5PV64+PjmRuy+AaDgTrzUCiEFYSRSEQoFFJnXlNT\ng5lcoVC4Z88eKmsjFAoFAgFydbENg0iJkdfZZrORPKtWq11eXsY7wjAMJWARiUQwnxiJRNRq\nNSVQHAqFZDJZNBqdnp5WqVROp3Nb5WIo1IIyLrGtFSiCeO7cuXA4LJVKo9Eo2uuxHzhy5Aja\nTPF4vOrqaqpEj+QvY93u4+PjsZYAP0NdUnxQ4+Pj0eg2lgrVarVLS0u1tbWRSKS/vz9W9UOv\n16PMr1wur6urI1EjPj+BQMBms91UoBgt7zQaDXLDd9RjIsPtdjMMg1+H/jHU2gkZSriR/ost\naZidnSVr7LZnhHDbQBk29hGKJWgPHDiAbx6FQnHgwAFKYNzr9eJtwh8Yq21+n0YkEunp6UGt\n7MTExPr6+ru/5vjGU20pD3OVSuU7vyxJSfCVr8Df/A1cvQrPPAO/+x0EAjAyAp/7HHz1q/DR\nj8ITT8BddDBkZMATT8ATT4DfD21tWyBvfBwAwGyGn/8cfv5z4PFg9+4tkLcdcP6+jQfA7gMR\narV6enp6dXVVqVROTk5KJBJyssS5TSqVlpaWTk1NTU9PU1OpWq2enZ1NSEgIhUJGoxGbpL72\nNfje9wAANBrfN77RfORIrlYiCTzySAI2sufmQmMj5OUBgEQiuQ1DoFarfT7fnj17UBOOqqIT\ni8UOhyMnJyc5ORlVvsiXFJafSySSmpqa4eFhzKiSuw8PDyMYxXL4sbGx+phcAE5XsSe2sLAQ\nDAaRq7Db7RcvXpyZmSH7Ddva2gCgqKgoEAjMzMx0d3eTZXbx8fHLy8tlZWVKpbKtrQ3Nx9it\nOAmFw2F2miSnpUgk4nK5Dh8+jBxDT08PVeiGNzQzM1MoFE5PT1NUxNTUVCgUOnnyJEKo5ubm\n5eVlsrWNx+PdRig/Go2y3lahUIi6pIi85XJ5YWFhf38/giRyq8lkUqvV1dXVTqezo6NjeHiY\npEIVCoXVaq2vrxcIBG1tbdSVV6lUbre7tLQ0KSnJYDDw+fxtJQ0RyOp0Oj6fz3YEs8Hn891u\nd25ubmZmZm9vL9zQamZDLpefOHHiVgfPycnp7u5GQGY0GqlHemxsLBQK1dbWJiQk9Pf3r6ys\nkK59WM6IWXtUVaR469LS0kAg0NHRwTCMTqdj1fUwVlZW9Hr9rl274uLixsbGOjo6Tp06xW5F\niKnT6crKysxmc3d3N7U6wgL5qqqqUCiEngR3upBvRVxcHJfLxULJlZUVl8tFFgzAjUdRpVIF\nAoGFhQVq/K6srPT395eVlWFXbHd3N9Wk+W6iv78/Go3u27dPIpF0dHRMTU1RlJtMJosd7xj4\nWpiamlIoFF6vd3l5mex5v6/DYDBYLBZUL+/v7x8YGLjVRYgNoVCI5m9lZWUOh8NisbxbVpJh\n4OhROHoUVlfh//wfePZZmJkBj2eLwCsv3yLwYqqEb3ZuW0f6n/8T5ue3EF5TE7jdEApBayu0\ntsLXvgapqXDyJJw4AQ0N8N4QFvwjxANg94GI1NTU9PR0LP1G6bXYz1itVqxmw1IkclNlZWVT\nU9O5c+cAQK1WFxcXs6hOp4Of/GTW6/VNXb2q+d73EhYXASBaV8e8/jqrOIm6G5ubm3K5vKCg\ngAIKVVVVly9ffuONNwBAqVRSUxq63c/MzLB6kmRrKnIVHo+ntbUV/4fqVQwEAgqFAgXPBAIB\nZUgPAMvLy8PDw9hbV1VVRWIvJKWGh4dR4othGHLxinpjcEPmF24oILCxa9euxsZG1LNlGGYf\noc/OHhyBCHJLTqeTrfpCHbv29nZs1+VyudSsk5+fv7i4iKqBAoHg6NGj5FZMd16/fh1bECCG\ngmVdpDgcTmlpKcUPIUmDdWDY+UFuxWuOfhj4P2tra2xTETaEFhYWxsXFxcXFDQwMUJB0z549\njY2NrMIw9Siq1Wq0wcV/1tTUUMRYIBBoaWlBwd7q6mqqQkgul9vtdhTmiK1UQ5A6PT09PT2N\nmM/lcpGMXSAQuHr1qtvt5nK5O3fupFQeMjIyJiYm8OBKpZL6arvdzuPxent7MWsPADabjeT8\n8JKywjoUpuRyuagijpsolnRtbS0+Ph6Ty3FxcS6XiyQysTIPRWQAQCgUxuav/X4/jl+BQBDL\n38zNzQ0NDYXDYaVSeejQIZLf5fP5KNWGZrhFRUVUm0VVVdXFixdx/MpkMmr8ms3mxMREl8u1\nubmZlJQ0OTl5K4HDdxBoGby8vBwMBuPj4x0Ox7YEimtqaq5du4YS4unp6TftTNfr9eidXV1d\nva1zQ385LPTMzc2NbW+an59HCjYtLW27dmTRaHRubm51dVUgEMTaS2I3t9FoDIfDarWatLnD\nwHY0FKbOy8ujrtiuXbs6Ojrm5uYwS3736jN3iORkePJJ+MpX3iLwgkEYHoa/+iv4ylfgv/5X\nOHsW7rpCQKeDv/xL+Mu/BL8fWlvh/HlobITJSQCA5WV49ll49lng82HPni0aD5usVlZW8Gpk\nZma+R7Rpfk/xfu74fRBs4JJUrVajHgE11Nn3AorooiI5+QGz2ez1etPS0rRa7ebm5le+4kdU\nl5EBV69CVhajmJ4++o1vKBcXAWC5ro5pamJRXTQabW9vn52dlUgkq6ursYQBKt3jrGa32ylf\nV9SBQ51h9iTZrbGtfFQVXTQaRWARCAT8fj9F4SwvL7e3t2NabW5ujnQSBACc19fX1zkcDpbE\nkT3R7NSLlfhwQ4SMDafTGQgEEhMTtVotyjGQW/Hn8Pl8rVZL1kixgZIEiK6CwSCVXJufn7da\nrTwej8/nBwKBwcFBcmtKSgr+8FAohN9LYZQ33ngDwW4wGOzv76eeB7fbTfZ8UAlNvMLsr4Yb\nArnkVr1eb7PZjEaj3++P1UdFBWxEsVSp2ebmJirY4eVFVwAyzp07Z7VaWY0JdAdhA5kqgUCA\nqiLUmWMFAsMwqKICb2d/AeC1115DnepgMNje3k45rJB2eTabjVXLw8CBg7lgRG9kNtblcqEY\nilarxRw6lYPu6+sbGxvDpP/g4CB2ibIRjUY3NjbQ5Ql9SsinRaFQ4L3AVZDf76dQYzgcxpw+\nW11Abl1cXETPOi6Xu7m5iUCHvKRDQ0MAIJfLeTze5OQk9Zy3t7cHg0Eul8vlcl0uF0oMkmeO\n1m1CoRA51HsoMyEWiz0ej9VqjUajCwsLDMNsS80ECdqTJ08+8sgj9fX11IkZjcauri7sZ5+Z\nmWGXjncZo6OjAwMDAoHA7XZfuXKFUrOfnZ3t7u7Ga24wGFjH6ruMoaGhoaEhoVDocrmuXLkS\nazhuNBrxpkxPT1O/KxQKNTU1ra6uSiSS2dlZXGKRoVarT506dfz48dOnT1PyNPcgOBxoaIAX\nXoDFRfjudwFL/Twe+PnPoa4OKivhpz+FOyn/kyEUQkMD/Mu/wMQEzM7C00/D448DKs8Eg9Dc\nDF/9KpSXg0YDH/mI5wc/mHO5uADQ1tYWq+v+fooHwO4DEQsLC2Kx+PDhw3V1dfX19dhLwW5F\nrRCxWMyud6enp8ndp6enS0pKdu/evW/fvsbGvT/8oRQAdDpoaYHsbAieO3fw7/5OZLUCwOzD\nD1//whdCBGHgdDpXV1f37t2bmZmJ+VZqMsYs4cMPP3z69GmpVDqJy64bgTSYXC5PSEjA2YuU\nIKZQIABQGAXxh8fjQeqLmtLGx8f5fP6ZM2dOnDiRm5tLzbXsP1mijgRnLGhgc6xU/mtubi45\nOfnQoUP79u3bsWPH1NQUuRXBXCQSMZvNsaIhcKNET6VSIZqk7ggK1bJdETjZs8G+s1hxCtJW\nCPFNWlramTNnHn/8cQ6HQ03GGKyiIQWPcIoiYRNJVTIMk5eXZ7PZLl261NXVxeVyKZnfmZkZ\nnU5XXV1dXl5eXFxMXRYkOB955JGPfOQjxcXFWGzHbkU16dzc3DNnznzoQx9iGIZCtJgnVSgU\nuFahuEZ88EQiEYuESDZxc3MzEokkJyc//vjjDQ0NEAMrEUk//vjjjz/+OI/Ho5A6exHYx8Bi\nsbBbkaPKzs4uKSmpqKhg6V42jEZjYmLinj17Dhw4oFQqKb8jm82GmskI3aifhr7DIpHI7Xbj\n1uXlZXJ3NFdA3MkwDAUy8O6fOnXqwIED2MNEnhvmlA8cOHDy5MmHH344EolQI9RqtSqVyg9/\n+MMf/vCHeTweNSTxIcHmynfc8XqrQB7darWiEfM7IAIZhpHL5TetxJiYmBAKhadPnz5x4kRW\nVhb11rpjTE9PV1dXV1dX79+/X61Wz83NkVsnJyfFYvHp06dPnjyZnp5Ojd/bRzQanZmZ2blz\nZ1VV1YEDB+Li4qiDsy89j8cT24WDN/Tw4cM7duw4ePDg6upqrIUSh8NRKpU3bby4Z4EE3tQU\nXL4Mjz8O+PYbGoL/9t8gORk++lF4+8LpbiIrC86eheefB4sFLlyAz38e2MKZ1VV46SXJD39Y\nf+pUzT//8y6droB6o77P4kEq9gMR2CCJL1YUno11XMW2BoFA8MILL8SKryK38dRT8ItfaAEg\nMxPefBN0OoD/+I+yJ59kwuEohzPwyU/OP/xwNBQiPZHwUEjUoXsEdfBoNMoqtQqFQqpWFxM3\nOp0OebXFxcVAIMC+iJE8IBOasQdnp5NYtoD0O8JqevKy4MFPnz5tsViSk5NfffVVsuAd/84w\nDM6CsdoKwWCQPU+RSMROq/g/PB6Px+PhXphsJc8Nv9rr9WLeE2JQIwr5ott6U1MTa4aLgTf0\nox/9qNPpFIvFL7/8MpmKxRNm9VRjFUkwbDYbh8NhdWTIiwY3Eov4J1VNv2PHDo1GYzKZpFJp\ndnY2xUSiJjNORWKxmJrs8eD4sKWkpOj1epKNwGcDQRvO4hRSj0ajiYmJiYmJyJxROnZoj+bz\n+fDqhUIh8swRmaH3GsJlCnuxOVb89tivZhgGNYT9fv/i4qLNZqNkL8fHxzFxz+VyKWo5Eolg\nHSfcMG0jt4bDYeyK9Xq9hYWFqDHG0o3s08JeEOrMASAuLm7//v0MwzQ2NlJ9G+FwmGEYzKWy\nwpDsXcODYyYRve9iD84+57Gjm2GYpKQkBJ05OTkGg4G0FHv3kZqaGhcX5/f7pVIp9p7fK0aQ\nrC7FF9TdHzwSiZBSPiKRiLos5JtHIpFsS6QJbdnIg8cWTWZlZYnF4nA4nJiYSC0SgsEgqhAD\ngFAojK21+IMGh7NVN7eysuVCOzsLPh+88AK88AIUF8MnPgGf/ex2DShEIjh+HI4fh3/9V5ie\n3krUvvlmxO/nBALw0kvw8Y8rZbLVOx/ovo0HwO4DERqNZnx8fHJyUqlUolIGmYTKzs4eHh6+\nfPlyZmYmrh2poiutVjs+Pv7DHyb8r/8lB4CUlGBzM1+XGYWvPgk/+AEDEBIKx7/1LeGjj0bG\nx+HGexAD/y6TycrKymZmZkwmE7UQlMvlMzMzXC4Xp/yMjAxya2pq6tzc3MLCgkKhWFpa4nA4\n5PK6uLi4tbU1Eomw7XiUTCjanubn57vd7uXlZWppnpKSMjEx0dnZKZfLJycnRSIRmcrJzMwc\nGxv73e9+BzdUssjCcLyA7Bs5lpDQarU9PT14qUdHR7VaLfmBhIQEFtXhhEHWpLN3JyEhwe12\ne71eakbBmbKnp0csFm9sbFBfnZOTY7FYzp07l52djQ2zZM8HyvVNTEy43W6Hw4E+v+TufD4/\nGAwiyxKL+dLS0iYmJjgcTmJiItIYsWoIWq2WUokjw+v1VlZWCgSCvr4+6o7k5OSMjIy8/PLL\n7MHJmi1kEAcGBjY3NzEBR91ubNlWKpVcLtdisVCtqYmJiXa7XSQSaTQaZHZJC92cnJz+/v7+\n/v6NjQ1EhFQVDp/P93q9WNcY2xWr0WiWlpbGxsZkMhlmbEkxFBwFUqk0LS3NbrejDjO5O4/H\nCwQCOTk54XB4fn6euiwZGRl9fX1ra2tqtXpiYoLH45E1WwhDuVxuQUHB3Nyc1+ulUswCgWB9\nfb27uxulIql6r7i4uJWVFZlMlpCQgBWEZM1WWlpaX1/fpUuXcnNzkRij2iMEAsHKygomZH0+\nH3XNU1JSrl27VlFRIZPJ9Hp9UlLSPUR1Wq22s7MzOTk5Pj5+bGxMo9HcwzyvVqudnp7u6urC\nNIJEIrn7g3M4nOTk5OHh4ZKSEo/Hs7y8TKmXazSaubk5HL9TU1MUyr99cLncpKSkwcHB4uJi\nl8tlMpn2vt2eNSUlZXh4eMeOHagoRI3EpKSk/v7+oaEhjUYzOzsrEoneE66pGg189avwN38D\nly/D00/D669DKAR6PTz5JPzDP2xV4N1a5+g2kZsLn/scfO5z0Nc38frrzsXFYqUyyuUOa7Xb\nkMK+7+IBsPtAREJCQm1t7ejoqM/nS0pKopqkBAJBRUXF8PAwplE0Gg2lPVZeXv6jH6l/9Ss5\nACQn+1tbBTqNDz725/DccwAQVKuvf+1rq+npMDaG7z70q8F9XS4XMlLt7e0ymUwsFrMsFMb+\n/fsvXLiAucVYC7/a2lqbzYZ+QRwOZ2+MwzRCN0ybcjgcytgHi/MQ3MT6eZeXlzudzsXFRcxk\nUV4CbP6IpQNJ/IScEJuR5HA4sbX2Ho9nZGQkFAqlpKRQxde47Cb/Tq7a2SU4UnGxfQB5eXnD\nw8PIeyEpQm5NT0+fn583m80jIyMAkJWVRc3le/bsaW9vRwE/hUJBKcM99thjL7zwAnsO1DWX\nSqV4zdnkFEUYBIPBc+fOIQ2Ql5dHFYajTB2WjaOgCbm1qKgIuS5cYBQUFFA/vL6+vqurC/FH\nYmIi5Tyxd+/eCxcuYG+ESCSiGlYkEgmfz/f5fPPz83grSbkTDoeTlZXFmqLy+Xyq7/XkyZNv\nvPEGrh8YhiH7UgFg9+7dr7/+utfrRVRH9RAg74izuEQiQfMJ8gPI0iG5glrZ5NacnBwUXDSZ\nTDwej7oj7EOChssMw1BD7OjRo5cuXcIEfWyrjVwuX19fd7lcLDlKjl+BQLBz587+/n507Cgp\nKaEkxA8fPnzp0iVM/opEIurgGo2msrJyfHw8EAigvRi8PYLBoMFgsNlsN+2sun2kpqaWlZWN\njY0Fg0GNRrPd/obbR1VVldvtxgWARCKhhCTvGLW1tX19fdevX0czQ+rlUFtb6/F40EVNIpEc\nOnRoWwffuXNnX18f+l5UVlZSKxBkdgcHB7Ezg+oUlkqlu3fvHhwcnJqaio+P37t37701NPd6\nvZOTk263W61W5+Xlbe/gHM4W1YZCJs8+C/Pz4HJtdUPs2AFPPAF/8ifwjtzbduwoZJhBo/EK\nAKSlZVKi7u+zeADsPiih0+mopTYZFotFLBanpqZubGw4HA6k69mtX/yi81e/ygSA5GT/N75x\nVRHMhobPAhb8FhVN/uAHqx6PQCCQSCRYDERm3zDFWV5enpiY6PF4zp8/Ty1PBwcHQ6GQXC4P\nh8Mul2tqaoqyMMeCp5uGRCLBWrS0tDQsFqFmRJQWy8nJQdux2LfMTRuEMdAZ4rHHHsN/vvba\na1arlS1Lx0rtUCiUnZ3t9XpvevDCwkJqgmdjdnY2Go2eOXNGIBD4fL7XXnvNaDSy1BfWuYvF\n4l27drlcrp6eHmpVrVKpyP4GSoECAPbt2+fz+VwuF/qTUltXV1fRRsnlcq2vrzudThIQr66u\nkkyk1WolU4poQatUKpOSkpaWlrxeL+V5+sorr8ANqWGDwSAQCMh3KEpJP/roowzDxPZGYJuI\nSqVSq9XLy8ux1T/p6em3adNbWVlxu92ZmZkMwywsLJjNZpLSw7YGtIhA3EmdORJ1EonE7/cH\ng0GHw0ECYnSM0Ol0WKq/vr5OEn4+ny8SiSQkJMTHxy8uLlIVBai4VlhYmJKS4vP5Lly4QI0C\ndJjV6XSRSGRxcZFan3g8npWVlaSkJKVSubCwYDQaSSiPjF1RUVFRUZHVar1y5UpsmyQqRYfD\n4cXFxfX1dZRfYQMzgzh+IaaP5zamfACwurrKMEx2dnYwGFxaWlpbW6OQX25ubqwsH0Y0Gm1r\na/P5fFqtFnWbGxoatgUF8vPztyefu52gFgbbCpFIdJt3C8RY0m0rxGJx7BKXjNLSUkp1nIzb\nE+rvJoLB4NWrV0UiEYrgrK2tvcNrqNXC178OX/saXLoEzzyzReANDMBf/AV8+cvwsY/BE0/A\nNnE8h8Opqqq69+0g78l4AOzeV4Fr7u1an7ndbrPZfOLECT6fz+fzGxsbTSYT+yr/1rfg3/4t\nHgDS06G5Wega8suOHYPFRQCAgwfh5ZfXh4bA42H1YKPRKLbg4e4SiSQ/P7+lpUWhULhcrqSk\nJGpSMZlMqampNTU1HA7n0qVLk5OTFLADAIfD4Xa7Y/M4WB7k9/uxZ/BW5WJra2tYX3XT8m3U\n8o3VgJBIJMFgcGNjAx0wsY6H/ADSdRaLhU1c3v46xwbugn9SdTYVFRUDAwNNTU0AwOfzKTUp\nVrADd5ydnY19jwsEAqlUGutIhsxQXV2dSqUSCAQtLS3z8/Mk9TU4OMjj8fbv38/j8To6OiYn\nJ0tKStitmDh2u90bGxtIO5HtLAholEol1v89//zzer2eBHbFxcVXrlx54403uFyu1+ulVM1M\nJlMkEjl8+DCHw8nNzT1//rzb7Y5NVKG1QywCmJmZUalUFosFxXJR6o/diswWUq34Py6Xi1X6\ndblcbrdbIpFg82kkEtHr9SS3PTMzk5+fj/yHSCSanp4mgd3S0hKfzz906BDDMBkZGVevXq2q\nqmIvPp/PLy4ubm9vj4+PdzqdSqWSonCQD97Y2EB6mPpdi4uLYrEYvbxSU1NbWlp27NjBDjGl\nUqlSqUZGRsbHx3HoUWwENj+hYg6Xy52ZmSHHINpdkKODHL93jOnp6bKyMkRXXV1dMzMzFLC7\nTdhsto2NjUceeQQLxV577TWLxXJvMUc0GkVJ83veuvEgYuMux+/dBocDJ07AiRNgMm0ReEYj\nuFzws5/Bz34G1dVw9ix87GPvjMB7f8cDYPc+CZfLdfXqVZxoRSLRsWPH7l5tHNmLlpYWLCpH\nIgo3ffOb8A//AACQkhJqaeFlrXaGPv1pHvYDfvzj8POfg0CADQeoJyIQCLCrjpwYNBrN/Py8\nzWbjcrkpKSnUGzYajW5ubmIpGxbzUlsvXryIzA3DMLt27SILwhCu7d271263y+Xy3t5eqhA4\nEolIJBLcXS6Xx8K+gYGB6enpaDQaHx9fX19PYuK4uDixWHz16lX8p0gkIuuHUIhEIpE4nU7U\nHiPxzR0jKytLr9c3NjYmJiZaLBYOh0ORInl5eUlJSWazWSgUpqenUxMtcjAlJSVisXhgYCDW\n0XV+fn5gYAAhaW1tLUm5YeZ3aGgIs+QymYzKpfp8Pi6Xi5gSS7DJraFQSCwWV1ZWulyukpKS\na9eukdcclxYk4UQBVrFYnJCQgF26arWa4paCwaBAIEDghUQjdUOtVmtnZ6fT6eRwOMXFxRSC\nsdlsXq8Xb+L6+jpVx4atErgSwDpCp9PJAjtMX0ql0vr6eqvV2t/fTzWFsC1EcLNyeKo/if0t\n7AdKSkqSk5M3NjYkEklaWlosziguLsbuBI/HE9v2wQ6N2OYnADh69OjU1NTq6qpcLi8rK6Oq\nwagzp9hEpOsqKyv9fn9qauro6Cg1fm8f5KJIJBJRufXbB45fvEr45rm3hfxLS0t9fX34Xqqq\nqqJqSR/EPY87jt93GCkp8I1vwFNPwcWL8PTTcO4chELQ1wdPPPEWgffBoOLuMh7InbxPoq2t\nLRQK7dq1q6amxu/3x6oT3SakUil2jKJuvs/nw4Qmi+o0msDf/32b4srPoocObaG6r38dfvUr\nEAgAQKlUhkKhuLi4vLw8fFOTGa5QKNTR0ZGVlXXq1KmKior+/n4qv4bMjU6n02g0ZK8fRl9f\nn8PhqKysPHbsmFgsZkVxMZBzMhqNSqVyZWUlFApRbAGPx/P5fDt27CgoKHC5XNSEhwVV+/bt\nO3HihEgkQq0NNiwWC8rAZmRkSCQSn89Hqkhg9V4gENixY0dubq7T6dyWhpZEIsFMzfLyMur0\nUj88Go2i07zFYonNSCLYEovFQqGQ7a5lw+Vy9fb2lpSUnDp1Kjs7u7Ozk+xkRMmxQCBQXV2d\nlZUVe+aYvy4oKKioqPD5fBQESUpK8vl8c3NzDodjYmJCLBaTaeKkpCSGYZaWli5evPjyyy8D\nAOWKMT4+brfbDx8+3NDQgJpt5Nbk5GS32z08PLyystLT0yOVSink19HRER8ff/Lkybq6Or1e\nT4lQBAIBrAMrKyvDQkByK840Uqk0Pz+f9c9gt+JDa7fbLRYL3miKadBqtQaDYWFhYWFhwWAw\nUB2vGo1mc3MTT6mvr0+pVMYSFQkJCQUFBZSlKUZKSgo6vKFiCHVwrVa7trY2MTFhNpv7+/up\n5ieMvLy8vXv3VlRUxNb4Y3/x0tLS/Pz8zMwMdfCMjAxs4w0GgxMTE3w+n8pQ3z60Wu3Y2NjS\n0hIqJG+Lb8Px29PTgwYVseP33YTP5+vq6srLyzt16lRhYWFPT8/7xjTsPRt3HL/vN9mlsgAA\nIABJREFUKjgcOHkSXn0V5ufh7/8eEKY7nfDMM1BdDbW18LOfQYyk3wczHjB291MYDAaTySSX\nyysqKqjJ2O12Z2RkIOuzvLxM6V/cPlCUVSQS9fX1SaVSqVTqdru/9a0tVJeRAVeucIU/fV31\nox8x0WiUx4Of/pT5zGfY3XEmsFqtVqsViRDSTMlms4VCoaSkpIWFBZlMJpPJ1tfXydGOOAMr\n1sViMTVjra+vY+nPysoKtnGRXrFYSN7f33/t2jW5XL5nzx6qxi4YDCqVyqGhIQ6HEx8fT830\na2trWq0WnVjT0tJ6e3tJRQOsZH/kkUfwn88///zc3BybQUNpFYlEgvKtcXFxsaIDVqu1t7c3\nHA7HmkQBQEpKyqOPPnqrm4K9EVlZWW63u6mp6ejRoyR+kkqlDodjYGAgGo3G2rlubGyIRCLM\njpWWlhoMBqvVymbfMPWcmJg4ODiIXvWUgAWmI1m5MupJw9p/VhgvIyODSomWlZUNDw+jRJxQ\nKKQKw9fX1xEhRSIRtjuVDTRC7evrww7uvXv3kj/N6/W6XC6dTjcwMIDM39raGlk5jvQP2oVh\n9pw8uEKhWFlZcTqdSPjBjSQ4Bj6xaIKOujxUS0pxcTHrt5GSkkJ5gcTHx1dVVQ0NDQWDQblc\nftPSotuM35KSkmAw2NvbyzCMTqcrKCggt6JF28jISCAQQGo59uCrq6sbGxtSqTQ9PZ16HsrK\nykKhUE9PDxbDURVv+fn5aNeBHes3Ld4ym81YYBqLSisrK/v7+7u7u7lcbl5eXqx/w23ijuMX\nAOx2u9lsxpLQ2LqC28Tm5ibSugBQWFg4OTm5ubm5Lcz6ILYbcrm8vr5+aGjIYDCo1Wpq/N6z\nSE2Fb34TnnoKLlyAZ56Bc+cgHIbeXujthS99Cf7kT+CJJ2DHjtj9PB4PthClpaW9v5+EB8Du\nvgmUK+PxeGtra0aj8fTp0+TcwOVyWVl8NFy6+yPjy7SyslKtVmNL47//e/KPfgQAkJ4OTZfD\nOf/21/DjHwMAKBTMCy/AsWPk7igDIRKJZDIZ+hmQKTDMHLW3t6vVaoPBgEklcncsG4+Pjw8G\ng2jTTm4VCoUOh8NoNLLKYRTyU6lUVCMedXCr1RofH+/3+7Hzjjpzo9G4vr4uFos3NzcpMTlE\nn4uLi+np6cgMkbsjx4l0VyQSsdlsVOfpysoKqtUzDDM8PLytOmIsm6upqcFGgdbW1vn5ebK9\nNC8vjyUvA4EA1RYnEonQG1ckErlcLlJSC68Jn8/X6XSHDh2KRqOXL1+mZlMul8u2AJMVaezv\nwqosTJwtLCyUl5eTb0kul8swjFqtdrlc+BnKfB3V8BmGQa078uCof4tdCBsbG3Nzc+Svxkzl\n6Ogon89HXUAKe8XHx6+treH0T3a8YpD/RMaOPG0+n5+dnb24uKjT6axWazAYpLo0LBbL0tIS\nXuqlpaWsrCzysgcCgYGBAaxOczqdfX19VHX8Hccv6tnCzSIUChkMBryqGxsbS0tLFPIbHByc\nnp5GU+OZmZmDBw+Sd43H49XW1tbeWi2itra2oqIiEAggeU9t7evrm5+fV6lUBoNhdnYWS/3I\ng+/cuZO0A95W3H78Li8vX79+Hcfv2NhYQ0PD3c/HWLeHNV5er5fMRz+I31+kpKRQlPDvK7hc\neOgheOghWF6G//gPePZZWFwEpxOefhqefhpqa7cq8G68YTY3N99880184YyMjBw6dEi1TXm8\n+ygeALv7I7B7saSkpKSkxOVyNTY2Dg8Pkw0+RUVFw8PDr7zyCtbfbMu5WSwWZ2VltbS0JCUl\nWa3Wl14q//WvFYDdEo2e7K9+HF59FQAgNRXOnYO3N8/DDdoD4ULsrIATDKI99u/U7qz0a6xQ\nJ9meefe/iDoCn8+PRCI3TcQg44XfTn1FSUnJ+Ph4R0dHV1cXMnlUgwLmnRMSErxer91up9yx\nuru7ORzOY489xuVyz58/v11x+XA4jA2zPB5PIBBQdCDK/fP5fJSupX5aUlKSSqW6dOmSSqXC\n5k0K4hQXF/f19S0tLaGXQzYa+9wILJOKi4vj8/nYGkJuxZLEhoaG+Pj46enp/v5+s9nM8jTI\neNXU1GAP5sWLF+fm5si+RSzsQ2v5tbU1yp/KbDbb7faTJ0+KRCKLxdLc3FxYWMjOx9itgtfc\nbrd7PB7KiFYgEGCVJ9wwFiO3oiaORCJB5bZIJELqxAIADqi1tTVsaaT4ocnJyZycHPxMf3//\n5OQkCezQa5XD4WD12+rqKkkt33H83j7QKqa0tNTv9ycnJ4+Ojubl5bHjCK0/Dx48iFlyfNio\n5ozbB4pfRKNR1MJg6w4BwO12z8zMHDlyRK1We73e8+fPr6ys/J56KmNjZGSkqKiotLQ0Go02\nNzdPTk7uuBkTc9NQqVQajeby5cu4SEhMTIxtHn8Q74dITYVvfQu+/nU4fx6eeQYaGyEchp4e\n6OmBL30JPv5xOHsWKivHxsbS0tJQw6irq0uv19++s/i+jgfA7v4InMBcLtfly5elUimPx6Mq\nuwsLC+Vy+cTEBMMwxcXFsQ7HTU1NrOvRnj17YutsjEajyWR64YXSF1/MBoD0dGh90aL79CPQ\n3Q0A/oKCnm9/O2S1Zi8sUDXIqHqFOliI0gKBADunoqN8fHw8lo1zOBwKhSCHh9XiaGtGbkWf\niYSEBHTApFKxAOD1ekdHR5GNKy0tpTqC8eDYJimRSGIPjqybw+FgGCYUClHi8vv3729ra0P3\ni/r6epIHZfswkMyLFXAPBoPRaPSll16CG1iWsj9fW1vr7u7GssJdu3aRsw6Hw0lISGhtbWVF\njKl3kNfr5XK5DocjGo3KZDLqkjIMU11d3d3dvbGxoVQqYy3GNRrN0NAQYk21Wk0xGai5//+z\n96bRbWTZmeALBPYdBAEQ4A6uoiguIikpKaWSEktSasnMqk5PezzjabunZ3zO+By3jz193H26\nvVRV+0zP2D12j6fmlH1cbne5u8p2VZakTO0UxUXcRFLcCe4AsRAkdmLfAzE/rhUn8oFikplK\nOZXF+0viQ7yIeBEv3n33fvf7oPN83kG4pKdPn4LSJfo0PhqkSH0+n9lsFggEe0L1eTwe0AtD\n4I3dGo/HhUIhFC5A6hn+Aq3gcQqFQrfbTZJk/ixIJBLHjh2rra2ladpqtWLiV/F4nMPhJBIJ\nCAzncrnd3V12BGhmZsbhcOj1+mAwODAwcPnyZbZvBxh8EBQWCoVY/hq8Rig8Il7olTFXDvN3\nfX3dZDJBYBi7coQQI31bWlqKbcyi0WgqlZqZmSFeyOKlUikmzgojDO+PUCiUSCT5Y/7gwYNE\nIkEQhEKhuPzpiPvW1pbZbFapVFBVMzY2xqbog2Jzi8UyPT0tlUoFAkH++7C2tra1tUWS5J6a\n8SMjI4BZ5HK5ly9fPlTNPuhiPXnyBHZf+Xszl8u1traWTqf1en19fT2WqTh37pzNZgsGg8XF\nxUCCc/BTf6bFYrHFxUXgxGlsbHy1qb1UKrWyshKJRJRKZV1dHVYGdGR7GEmiGzfQjRtoawv9\n4Afor/4KbW2hcBh9//vo+99Hp04VnD0r/NVfhd8WFBRgOmxfMzsqnngzDABSW1tbOp0OxN3z\nd5/FxcXd3d0XL17M9+omJyd9Ph9DR4JpTlMUBT7EzZvNH33UgBAyGKjhH6xU/NJb4NXFzp7t\n+b3fK2hqUqlUExMTDuA6eWHxeBwg9qC8jl6g1MEgVhSNRmtqamiajsfjWD40k8lAlSJJkvF4\nHFs2oJhDq9W2tra6XC4Oh8P2QnK53ODgYDgcLi8vT6fT/f39+ZJiqVRKLBaTJBmLxbCFwefz\nURTFSGNhacd0Oj04OAjMw0CwzA4vwS8Zhcp8NTOG0xjiheiFChZYMpkcHBwE1tZUKtXf3485\nClAwAe4LaMBjjywQCAgEAqVSubu7i61YmUxmcHCQz+cfO3Ysl8uBOAf7B4x0FVBsjI6OsltJ\nkkylUsCZnC96AW9XKpWiKAqumc36AfB/cI9omoY0N/q0pdNpwGVCyJPdJJVKI5FIPB4vLi7e\n2dkhCIL9tkAkKZFIqNVqcHGwd0mtVlutVujBYrFgc0QkEjE1E+AesVk/MpmM2Ww+e/bsmTNn\nwPXB3nOBQOBwOMRisUgkcjgcWDyPGSXAMyCW0BZzonQ6DaXZUE/NPnxkZMThcCgUCoVCYbFY\nACbIWDKZpCgKxCEYMSimVS6X83i8hYWFra2t9fX1UCiE3fjdu3cTiYRAIOBwOMFgEMQzGHM6\nnUBMWF5enslkotEo+1WE+etyuYqLiyORSCwWwzwzk8m0vLys1+uVSuX4+DhblRghNDU15XQ6\nSZKEPdvDhw/RYUwgENjtdo1GIxAIdnZ2sDH3+/1DQ0Ogr2U2m2dmZrDDAbDY0tJSWVn5asFe\n2Wx2YGAgkUiUl5fHYrHBwcFDFcXvbxRF9fX1ud1uqVTqcDiGhoYOpTn2824lJejb30ZWK/rk\nE3TjBoKv7sTE8T/90/K33sr82q/FJietVuvXO3x7FLF7M4whDAOFBi6XeyiKdrvdzkCmoFpw\ne3ubCdpBFmZk5NLf/70KIaRWx//yf/pB2S99BwUCCCH0L/7F8De/WV9XB/RyuVzOZrOx9+WM\n2HkqlYLOo9Eo8/WPx+OQWFxcXISELJZ9g7WWWUswuoSTJ096PB5gsiUIAoPy7O7uRiKRb37z\nm4lEorq6Gniw2EkoCJIxPBdY5wzVPvPdZJd9AC88pAXT6fTt27fNZjOb0Y05BfwDCz7B3/Md\nPjCz2ZzL5d5//32GoNhqtTIpS4qikslkU1MTlFzcvXt3a2uLnQgGbB/UAfD5fOwUHo+HoihA\nLldWVt6+fXt3d5f5kDEBnnfeeYckyY8++gjTjIfemDHBnEJ2qAmcVzZvM0VRwH9hMpkIghCJ\nRPkENDDO8MSxzkGlNBgMBgIBEGNIJpNMuAKunCAIhg0EK49obGwcGRkB70GtVmOc+yAaQdM0\n8xrs7OwwbzJ0BZ4ih8ORSCT5mqrAD4wQUigUey7k6XSauTb2+8Ak4plTw8UwBvnNzs5OgiD6\n+vq2trbYQTsIm4VCISb1HIvFGKeWy+VWVlaura2BwoparcbAQxD2vnbtGkEQt27dwjADwG4D\nKc50Or28vMz2gT5z/tpstqamppKSEg6HA3po7GyAzWYjCOLDDz9ECA0ODmIZ6s80iqIEAgF8\n9ICNnN26ublJkmQoFIJCGZvN1tbW9nr46rxebyqVevfdd0mSNBqNt2/f9vv9GOLzc5vH40km\nk++99x6Xy62vr79z504wGGTnx4/ss40k0XvvoffeQw7HPwTwnE5uPI7+8i/Jv/5ryQ9/eOIL\nEER/9e3IsXszDFbZS5cuASR8eHj4UHs4CEedP39eqVT29PTA6su0plKpn/70+EcfgVeX+NGN\n71z6kz9FmQwiCPTd76Lf/d3cgwfMtx4UBbD+mYgXNLG/vxC1unLlCqwujx49yj8c+gR6YayV\nw+Fcu3YtFAoBQTFWWgFnBKkD5jKwzrlcLoCf0EswfDdu3IAtMhYzA5+DwQXu2flnGofDYRTJ\nsPNC+QVzCraLA38BPwZAk/l+vFgsPn/+PEVR6+vrmM43dM6wH+955aFQ6ObNmxAOxNZCJh8N\n2dL8YSEI4urVq6FQSCwWP378mH3l0BufzwdORKjDwE7NXA8MDnblzDsAryj7B/DvtrY2gUAg\nl8t7e3uxznk8XldXVywWgww1dl74MYDwhEIhaEUwrVKpVCKRzM7O1tfXBwIBn8+H6ZXlcjmo\nH0cIQY6M3ZrvrLBHFU4EJ4ULyB+WYDAIBDH5zxrG5NSpU3CFUH7OtEKsEZwbHo8XCATy5R8y\nmczNmzf3dHoUCoXX64VTozyk6WfOX4qiZmdnIcTI5/Mxdhvmm4DyyqsPYlCtD2Hj/MPBOb5x\n4wZJkhMTE1iF9ZdqB5lin9symQyE6tGLgqFXS+/382Wlpeg730G///u5O3fC//E/KsbGclyu\nUCZ7tUJqXzU7cuzeDJNKpQUFBVNTU0ajcWlpKR6PHwq/LJFIIpHI0NAQQwHK/u5/9FHjRx+R\nCKHCwuQnb/36W3/zQ0TTiM9Hf/VX6Jd/GSFUWlq6uLgI7uDGxgZWuyeTyQKBACzn4ASwofoK\nhUImkz179qy8vNztdlMUhSlPgD8HNLkQPMi/fkhR5f8dfgzZ0u3tbYqiMEeBw+EAOA8Svthi\nDBd8//59ZljYi0dFRcXCwsL9+/chLYgQwooMmFPkZ1qhK0g1wnKOXiwG0Go0GpeXl+/fv6/X\n67e3tyFnxB4TEE7weDypVCqdTmOgq9LS0pWVlWfPngmFQqfTiQ0OkMmNjo4aDAa73S4Wi9nb\nfZC3Aqwb3DU2LBCVUSgUDDyR3VpdXW02mwcGBjQazfb2NiaSCzSz8XjcYDCAcCrm8UBMF3Bm\noNjBboULE4vFOp3ObrdTFMVOWUqlUj6fPz09XVZWtri4mMlk9tSqehnTfVlZGZDvKBQKyHRj\naNGzZ8+Oj48/fvyYx+O1trZiPko4HAZ9W4RQIBDAyAWBTZrL5QqFQghqsse8rKxsfHwcRhWC\ndhgWDY5Sq9WA/Muv5w0EApOTkwxagO1GhEIhiqJKS0tramq8Xi+gJ9kTHEYV5DTyNwkSiSSX\ny4H03O7uLuZCfeb8hc9CaWlpMpnMr4YB2eKf/exncINEnurx/sbj8YB7nKbpcDiMPRGBQBAM\nBsfHx3k8HsAT83cpX5JpNBoulzs6OlpcXOxwOAQCwStM7Wk0Goqipqen9Xq9zWbj8/lf4/rN\n12QkuVBZ6fy3/7ajtBQRhMtuJxcXm/MKAb82doSxe2Ps3Llzcrl8dXUVhJgOpdNSU1MDe0pY\nyDkcDvNx//a30R/+IYkQ0qqjffW/8Nad/4JoOqdQoEePwKtDCDU0NNTU1GxubjqdzpaWFkxz\nlsGopdNp+KpGWSyRHA7n7bff5vP5JpMplUq988472Jcd9ruxWCyZTGIQus80iFQZDAaGp81i\nsbB/QJIkFHZAvAEbtMbGRvawSKVStp8BKvIcDgc49s6ePct2MsCZI16ImBGfVshFCIlEImjN\nh6khFkExCNK//fbb2I13dXXBYkmSZEdHBxvHhhBqamoyGo2BQMDpdKpUKkyhnM/nnz9/nqbp\n5eVlHo93/vx5ttMJkTAIAwAEEFuTYJTC4TBkFbFIiUKhOH36dC6Xs9vtfD7/nXfeYf8gnU5n\nMhmKooAVhcvlRj9NGQpvC0VRcHYszgEwSolEArSFCCEMs9Xd3S2RSOx2ezweb2pqOlTtJ3gV\nNE2HQiEYECw1r1Qq33777aampnPnzuW7jCC5AQg5oNJgtwIGDqoixGIxTdPsnDWcCNwUhFC+\nwhWHw1EoFMFgEATHsDHX6/UkSQLpMXhgbAAfBMh1Op1KpYI0KHZtQqEQtGHAm8e8xlgsVlBQ\nAAE/vV4PPJTsC4OXc2VlJZvN5s/fbDZbUFAQDoez2Wx+Hc+pU6cKCwtzuVwsFiNJsru7Gx3G\nAHGbTCYhLY49L3hDnE6n1WpNJpNQm3Wo/j+38Xg8oLNZXl4mSRKbBV/QRCLR2bNnfT7f6Oho\nLBY7d+5cfudQonQonY+fc3O73TU1NZoTJzSNjdXV1W63+x/7ir5EO4rYvTEmFAo/N1lURUXF\n7Owss4hqtVr4An772+g730EIobIC71P9jfLhCYRQXKsN/93fFbF8hT3lmxiDZMGHH37I4XDm\n5uZWV1exT7/X63W5XIAbA0eE3Qogevhw5zsZ+xuk20pLSzs7O3d3d7e3tzFMukAgqK6uBuza\n0NAQFqswGo1utxsQZiKRKJ/3taio6P3339/z1JCcLSkpgaNu3bqFOXYFBQWQuQP3jsvlYmu5\nwWB4WecIIS6XuycPLVgymXQ4HOBT7u7uer1ezMVRKpUvK+aHaBkcC5kybFhAhI0JYea72vuo\nwsMKVF5efurUqWQyeefOHWylh5jTN7/5TQ6H88knn2B5XoFAkMvloNAHoqRYRlUmk129evVl\nw7K/CQQCJgcKrg9244uLi0tLS/BvuVz+7rvvslsBQwZ1Fbdv38aepkAgSCaTTMkqesF4zLQi\nhFQqVTgcFovFsVgMOzWEfCCEMDk5icH7SkpKXC4XbFoEAsGZM2fYrQC2Gx8fBzZsDoeD5WGF\nQmFlZSVgNJ89e4Y50wKBgKKo7u5ukAyBuCP7ByCztseAIoRebGlA8/fOnTv5LsjFixdfduxn\nGk3TxcXFnZ2dCKFPPvkECwdCXTaMOZQ5f+4TfQ6Ty+VfHl+GVqvFipfZ5vP5RkZG4CWBT9Dr\niVO+0SYQCBg/OBqNHgqk/sbZkWP3c2GLi4u5XM5oNAoEgq2tLdisMF7dSf3OQ+55zeIGQihc\nWTn4O79zJk9Rfh9raWkB/SiIChQWFmIhnOfPn7e0tFRVVblcruHhYYPBwM4sNDQ0TE5OarXa\nbDYbDAbZnGefafX19QsLC2NjY5OTk0AzgVF71NfXT09P+3y+ZDK5u7uLUaGClhfE8xQKxWFR\nF5CF8fl8mUwmm802NTWxW6FGWCQS8Xi8SCTyOb4jfr8fKgErKiowr3FsbAwWY4lE8vjx44mJ\niW9961sH7JbBMqpUqng8nkqlsEpkkiQzmUxhYSFkuA4VBQF3EJxOIJHBblwkEkUikTt37kCW\nHPMDdDrdxsYGQgjkT4Ce4+Bn399isVgulxMIBFqt1ul0AliQac3lcsvLy4WFhV1dXVar9fnz\n54uLi+yClbKyMqvV+tOf/hQhRNM0FrcG6haJRKJWq0Emjn1rAoGAz+f7fL6CgoJQKJTJZLDt\nTX19/cjICFDMuN3ud/KQ3e3t7Q0NDYlEIj+eJxKJoIAG4GjwZLHOnz17FgwGKYryer2YFggU\nXjx+/Fgulzudztra2kM98YqKCovF8sknn0AUFnjCXpVxOBzgKIagHfYyRKPR0tLSY8eOQTBy\nYGAAoyt6c83tds/MzACU8+TJk9h2d2JioqSkpKWlJRaL9ff3b25u7okSOTK21dXVDQ0NQQLB\n7XYfnC7+TbSvwxx4gyyTyWxtbW1tbb0MDOvxeGw2W/Qlgncul+v58+fr6+uHPS9oTLW3t584\ncaKtrY2m6T/4gzh4dd26xTH6lMaxgRAKdHRYfvhDfmUlVjeHEEqn0w6HA5gRsCbQAQOMP0II\nY8gLhUL0C70yEGjH6gErKio6Ozs5HI5IJOru7s4v/qJp2uVy2Wy2PRmGP/jgA5VKBZmsq1ev\nYg6Q0WiERFJhYeHly5f39BIAv/gyr85msz1//hyysZh1dnaCAIBIJDp//jzGMhOPx8vKytRq\ntUgkqq+vhxUX6yEQCFitVmxAwMxmc19fn9PpXFlZefjwIeZ7QcIOKOiMRuOhsNWpVIqm6aqq\nqoKCAqPRKBQKgYONsWQyaTQa1Wq1RCJpaGjAwiT7G2QJdTodj8cDFx9bk3Q6nVQqFYvFfD5f\nLpdjsaVYLCaXywsKCiiKKi4uBmQVdopYLGaz2V6WSclmsy+bYoFAgMvl1tbW8ng8KIxgd+Lx\neGiabmtr43A4RqORz+cz9a1gp06dOn78OHAgHz9+HAufRyKRwsJCoAiuq6vL5XLsWQybh8rK\nylQqpdFo5HI5U0sOZjAYIOjF4XAuXLiwZ32lWCxWq9X5ITHovLa2ViwWV1ZWCoVC7MpLS0u7\nurqAmfnSpUvYExEKhZcvXzYYDDwe79SpU1jJyGdae3t7S0uLQCCQyWTnzp3LD+XuP3+z2ezM\nzMyTJ0+eP3+OhW8RQgaDQSwW53I5Pp9PkiSGiVQqlW63G9QCHQ6HXC7/Snl1iUTCbrfv7Owc\ntq4ikUiMjIzodLp33nlHoVCMjIywc+vZbDYajRqNRpIk5XK5Tqfb8wPylbX95++XZ0VFRd3d\n3TKZTCaTdXd355OCfZ3sKGL3+iwSifT39zO1lhcvXmSnmWiaHhoa8ng8kNNpa2vDNmFjY2MO\nhwNgSSsrK9evXz/4VwzEvkDRyGw2f/xx/Y9/LEYI/feaJz+Kf8iJhBBCm93dS7/xGwm3G32a\nggshtLu7Ozg4iF6USXZ3d7N/YDabwVeA/y4uLtbV1TGxEKlUStP06Ogo0JwSBIEl1/x+//j4\nOBweDAa7u7vZuT+Kovr7+0OhECD9z5w5g+Uc+Xz+pUuX9rl3nU6Hwb0xi8fjoO+ZP56PHz8G\nljiLxbK2toYlR9xut9ls5nK5iURidna2u7ubXasoFovX19chcgNiBli6ZGZmZmNjAxiA6+rq\nsIDfwsICQRCpVAqwaGtra2yoL8S9gJwFeML2uUHM4CKBDQ4qPDChbolEEgqFQJZqamrqUIyy\nCKGOjg4IKOZyueLiYiyydfz4ca/XC6JkQqEQi7ACjx1cJNSUYLBIm802OTkJgLDCwsLz58+z\nnxro6kLsliCIrq4utisvl8t3dnaKiopUKtXs7Cx6QeoLBlHk9fX19vZ2CKrl65eDdMSedy2R\nSAKBAJALMoTYTCtcpNlsBs4dpqCSsVAoBElSoI+5ePHiwUG08ElZW1sTiUSg6ZfvSWg0GsyH\nZptIJGo8TJAes9ra2pcF2vefvzRNP3z4EPiiQSrtvffeY7/MJ0+eZJjwamtrKysr2Z1XVVVt\nb2/fvXsX9Ka/UkICOzs7o6OjcNdyufzChQsHB+F5vV4o30EIFRYW3rx5MxAIML4+cF253W6Q\nYQwEAofS5/3Htf3n75dtBQUFPydlKEeO3euzhYUFlUoFkPmRkZGFhQU2csXhcAQCgatXr0ok\nEiDbrKioYKsGORwOo9HY3t4OUkuLi4uYK7CPtba2OhyOvr4+hNDHH9f/+MdNCKHfVPyXP939\nNSKbQQRh+vDD5V/8xUKFIhMMptNpzFGYn58vKioCyPzTp09NJhO7SBP43q5cuaJQKJ48eeL3\n+zOZDBM5Y3bhMpksGo1Cho7taU1MTGSzWb1en06nA4HA7OwsG0JkNpuBExUDHT4mAAAgAElE\nQVTIXaempg6Fl9/faJoeHx8HZjKJRHL27Fl2fajL5drd3W1tba2pqQHOWNCNZX4wMzNTWVnZ\n2tqayWSePHmyurrKXh0ZRg8ul5tKpbCFPBgMbmxsXLx4Ua1WwwOtrKxkmMlyuVw6nS4vLz99\n+nQ6nb579y4W4Dl16lRPT89tkHpD6OBvAlySTCbb3t5mYgmYnn1DQ0Nvby+sl6lU6rA5i6Ki\nouvXr+/u7gJ/MtYqEAguX77s9/tzuZxarc53SeGSQLcDfZp9g6bp6enppqam2traRCLR09Nj\nt9vZjuPi4iIgnwiCGBsbW1hYYC/2J06c2NzcfPz4MUAM9Xo92/fi8/klJSUWi8VqteZyOR6P\nd6iiOdhxMUxvmOsGE5nH49XV1W1vbwcCAQz2vrCwUFhY+NZbb9E0PTw8vLi4ePCcJmyEpFJp\nfX399vb2YR39L9XMZnMymbxx44ZAIFhcXJyenmbP352dnXg8fubMmbKyMq/X29/fv7GxwZbB\n5fP5MCZ7YshIkuzq6goEAplMpqCg4CslzzA9PV1TU9PU1JROp3t7ezc2NoCT8iAG7iBo0wFV\nOHZrra2tExMTm5ubUDLypjh2nzl/j+xV2ZFj9/osEolUVVXBJ16v12PcYwCngG16cXHx1NQU\nm4MUcisGg8FsNovFYi6Xi6lk7m9er5fD4ZSUlPzN3+h//ONyAtF/LP3O/x7+LqJpJBBEv/c9\nk1xeW13tdru1Wm00Go1EImw6lXA4fOzYMavVClJXPp+P3TlglWDbDXcH4kvQCh7JhQsXQqGQ\nVCodHh72+/3AdQwWjUbLysrAmXvw4AGWRQK+j6qqKqlUajKZAJ/+qgrQLBaL2+1uamricDge\nj+f58+dsEB5cOSiiKhQKEGlgHDuapqPRKOyqeTyeVqvFlupEIlFZWanRaDKZDJfLnZycZLcC\n6o6iKMB18Xi8cDiM6SjEYrFYLBaNRukX+haM8fl8EIqFKzksEA22y9FoFHjsAoEA29UWiURV\nVVVra2uQD91zj+t2u6PRqEql2rOVz+fvEyUlCALjrWAMClkIgmAIaAKBAJM0ASl3hUJhNptF\nIhEUY7IPj0QipaWlMFZ6vR6IbRnjcDjvv//+0tJSJBIxGAz5ScPOzk6Hw7G1tSWTyRoaGvJj\nCel0Gqp0DQYDlvSPRqMajaa2tjYej8vl8oGBgfz5W1pa6na7ZTJZKBTC4BbhcLi+vh7OWFRU\nhIle7G9QfqtUKpeWlqRSqVQqxWovEELJZHJnZ4fD4UDKFWvN5XI7OzuQJsZeQrBAIAA01Hs+\n1kQi4XK5SJI0GAzY3ASOEsBZFhcXLy0tsecvPD6o+NZoNARB7IlC2b8y4CsYg4EqYACl8Pl8\njUaTjyjYx7RarVgsfvLkCXDoaDQabINUVlamUqkgvWMwGF550CsSiXi9XoFAoNfrX2HnMH/B\ns99z/h7Zq7Ijx+71mUKhWF9fBxbNdDqNfY8UCsXa2looFFIoFFarlcvlsnMx8D0dHh5mGCLy\nP2cbGxugMFFRUYHlLPx+P5/P/973JD/6UTkfpf+G/89/MfpjhBAqKEC3bwvOnEG3bq2trXE4\nHPAXMUdBLBbPzMyIRCJQkcKQLlqtdnNzEziT4SvAXhtgVX7+/Dl8zXO5HJYSAq4TYNgCsSl2\nazabBcyTSCSC/f0rrP/yer0AmRcIBLA6ssHXRUVFKysrfX19crkc6lvZyCfA9YPeUTqddrlc\n2JjDcwRU1tTUVD4zWTKZHBgYYP+F+TdQfoTD4Xv37hEEQZIkFqdcXFxkYDe5XG56evr69esH\nvGsY50AgIJFIILaErabr6+uLi4swzkAmB2WJjI2Oju7s7AA5Imi0Y/0vLS3BqlNfX79PBjDf\nwCM5c+ZMaWnpxMSE1WplYzpFIhFJkk+fPpVKpYlEIpfLYWxwCoXC6XQajUYo8MyPF3I4nP1z\njqWlpflqp2ChUKi/vx+8xtnZ2QsXLmB8jaurq6urq1Cquef8TaVSFy5csNlsNpsNm79KpXJr\na6usrIym6XxiQoSQz+dbXl4Geb2Ghgb2NAEUgVarfeuttwKBQF9fH3bjfr8fJOZyudzc3BzU\n3DCtFEX19PRAqQpFUW1tbVgEaGFhYWVlRSaTxWIxkMdgt3o8nqdPn8J3icvlXrlyhY3TUCqV\ny8vL8XhcJBLZbDbQuWZaDQbD/Pz806dPjx8/vrGxATWwew7+57NYLGYymYLBoEKhOH78+GFB\nBZ/bIChut9vVanUymXS73YeqCSNJ8uLFi6urq5FIpKKiora2Nv+jB1ixV3rV/2BWq3VyclIq\nlSaTSalUevHixVcVAIYqH/gqRiIRv9+PLSVH9qrsyLF7faZQKNgbcSwEXVJSsrW19ejRIwii\nnDp1ir1VYiY2g57BNlJra2smk6m2thaWeYzwNplM/t3flf3oRydkKHKL9wvd6R6EEKqqQvfu\nobq6ZCQCp2BYMHw+Xz6NMCPohCF42tratre3YUmmaRoDIUmlUigLZS4bo2TT6XRut/vmzZvQ\nLTuYhxBSqVTBYPDevXtwv/ngpC9iiUSCoijQ9Xr69CkAsZlWppwTtpUEQWDQw5MnTw4PD9vt\nduCtxa68trbW6XTeuXMHIcTlcgEazxhDcgaEvXAx7IXn1KlTIyMjJEnmcjmVSoXRqu3s7ORy\nuZqaGhDv2hOW/jKDwKpcLj9//nwwGBwaGsJoz5aXlxFCNTU1AoHAZDJhgmNut3tnZ+fy5csy\nmczlcj19+rSqqoo9MpOTkx6PRyQSgYbmpUuXDh5QBIcDypxhWLDAGEKIIIhEIgH+E1bKc+LE\nid7e3lu3bkE17mFZ0/a3xcVFjUYDbs3o6KjJZGK7OCqVCmpOYRIpFAr2u8Tn86uqqsxm809+\n8hOEkEwmw6ZJc3PzwMAA5NYlEgnmPEUikcHBwZKSEp1OZzabI5EIO8XM4/FOnjw5PT09NzeX\nzWarqqqw2ouFhYWSkpKOjg6app8+fbq0tNTR0cG0QgizvLwcnLCZmRm2Y5dIJJaXl6E2KBKJ\n9PT0uN1u9sdhfHwcIdTQ0JBKpdbW1iYnJ9mvutFodDqdMH85HA52X3K5vKamZn19HaLjpaWl\nrxDSTlHU4OCgSCSqqKjY3t4eHBy8cuXKK2Sb29/a29tHRkY2NzdzuVxhYeFhs6V8Pv+wVSyv\nxGianp2dbW5urq2tTafTPT09m5ube9KAfw4jCKKjo2N8fBz2PyUlJUeO3ZdkR47d67OdnZ26\nujrY/WSz2Z2dHQzbdObMGa1WGw6HS0tLscq1ra0thFBzczMQJYyOjjocDvbhNpvt2LFjAOOg\nadpms7Eduz//c/mPflRfjJwPyWuNmXmEENXRQd67hzQahBAIzBuNxu3tbbVa7fP5sDwv/BeW\n2Gw2ixVhcTic9957b3x8PBaL1dTUYBkuwKFXVVXt7OwUFBT4fD63282ez+DBQHq3vLwcG5Py\n8vL19XWdTsfn8z0ez555h5mZGZfLVVBQcFiqBaFQyOFw7t+/z+fzQYeKHbGLRqM8Hk+j0QBL\nRTAYhOQjc7harT579uzKygqfz29tbcXWjEQiEYlEIMgUi8XYaq0IIcDXl5SU+Hw+rVZrs9lc\nLhc7uKXRaK5duwaSqfncfhRFEQQhl8uhBOFQjl02m4VU0SeffIIQkkgkWJQUIJKxWCwSicjl\ncqxEOhqNisVii8USCASKi4sh4Mc4dtls1uFwkCQJNH7RaNRisUDCmt3D+Ph4Lpdrbm7GXBCD\nwQB0JxCpJQiCHXwCR7ypqclms4FUCZsEGCEUDAYTiYRMJoMaBYhKYrfv9XpB42HPgIfH47Hb\n7XK5PD/EEo1Gq6qqYF8BDha7FcJsOp0uFAoVFRXNzs5ioqhtbW1FRUWbm5tqtRp7yRFCEonk\n7bffhkBpc3Mzxh0I0ceKiopEItHU1DQyMpLJZNhPzWg0cjgcu92uUqnyHYJIJFJZWQmbIq1W\nixUkut1uPp8Pc0cgEExMTMTjcQZ9GI1G4R2zWq1QzhyNRtmOHdRQwx15vV7sbQF+49nZWfg4\n5GdyW1tbi4qKXC5XYWHhy2Kl+xiU3KbTaa1Wi+27/H5/IpE4ffp0JBJpbGx8+vSp1+s9lGBP\nLpdzuVzZbFar1R6KOB191vz9yhqIOIN7zefzVSrVq+VALi4uhqC1TCaDyPor7PzIGDty7F6f\ngR4XIwyK5QWYqlihULi+vo5VxcJnJRKJtLW1+f1+mqaxSAYbX4yVxf37f4/++q/rm9D8A841\nA+VECG2dOiW9fVv5wo2AxRUWKqDVwNJnFEWBPAN0iyF40un0vXv3oHhzfHx8d3eXXeoIFwad\nM+Kn7MOdTid4dQRB2O32+vp6doBHqVR2dXWtra0lEomampr85fbWrVsAxopEIg6H4xd+4Rf2\nGvu9raCgAPjM4JIkEgnba1QqlZlMBjBVIFiEZbhWVlbm5+chhGm3269du8YG46+trYEaBzh8\nJpOJvfFVqVQ0TUMEF7Lz+bn1ZDIZiUT4fL5SqcSyISKRKBwOT01NwX8P9X2EiB3DBgJKCewf\nkCSZTqexQB37yiORyOrqKnoBHWM/L4j4njhxAp7UzZs3sZXebrc/e/YM/j0wMFBVVcVWqNPp\ndBKJBFLDuVyupKSE7b6IRCIOhzM/P49ebDawHf/KygoUfCCEOBzO8vIy21egaXpkZMTlcgHf\nW2trKxaKgOQvPNClpaX333+f/T6oVCq73Q5nBBeKfSwIWgSDQYIgGHkr9g/W19dnZ2dFIpHL\n5fL7/WfPnmU/NafTOTIyghCCJHJXVxd7DkLJ0fDwMJ/PZ0Lj7M6Hh4ehiBiIRW7cuMFuValU\nNpvNYDBQFLW1tYU500KhcHd3F5S74G1nf1ugNLinp0csFu9JkgfYU0BTxGIx7LsEpT8QEoat\nLOZ3Li4uLi8vi0SijY0Nt9uNSeftb9lstq+vD6CimUyms7OT7bfBPq2vrw8Kzw/rQ0BFFECH\ns9ns2bNn9y+uzzc+n//GcWoIBALYtjU1NQHSDqtb/4IGDJFAFe5wOF5zVezPjx05dq/VKIqC\nrS2DYWIMqmLBOcivigUQq8Vi2dzchG86lsopKyuDDFoul2NTY/zhH6Lf/310GfV8RPx3slwY\nIbR+9ersr/zKP2F93PMBy06nk51YxKrSMIaw6enpbDYLVbFDQ0Pr6+vsbwFw/QsEghMnTpjN\n5t3dXbfbzY7qzc3NyWQyUBl/8ODB+Pg4xipSWFj4Mqz9xsZGJpMBwqepqSmz2Tw+Pn7wuB3Q\n9GezWahOwJjroVoWbhzGfGNjgx18WlxcVCqVly9fjsfj9+/ff/bsGZtk3+fzcTicGzdu8Hi8\nkZGR7e1t9jBi1HEIoXA4zAYY2e328fFxmUyWSqVMJtM3vvEN9pIJ+DZmdc/PV+5vjAwa9LC6\nusqWFdmfdgso/djDEgwGMV9hfX2dJMlwOIyJvSKEJiYmCIK4evWqUCi8deuWxWJhO3Y7OzuJ\nRALyjIlEYnp6GihdmMvGrnxzc5MNbQyFQkKhEBQjent7sRd7e3vb6/W+++67UqkUFpiKigom\nzprNZq1WK9Tx+P3+vr6+2dnZkydPMoc3NTUx2VK5XI5VIgeDQYCI6fX6+fl5DC2azWbn5uY6\nOjoqKiqi0ejjx4+3t7fZj3tqakokEoGoxt27dycmJtigSdB/Ky8vLywsNJlMWOfRaHR7e7u2\ntralpQWS48vLy+ygYEtLy9OnT2/fvk3TdEFBASYh09DQsLOz8+jRI3imGME4U9wNWz6CILDE\nfWlpqc1mu3fvHrRiwzI5OZnL5a5evSqTyQYGBlZWVtiOXSwWW1pagjzv7u5ub29vZWXlweNb\n6+vr2Wz2xo0bfD5/fn5+ZmaG7dgBQziQNW5ubvr9/kOVzcLW5b333uPxeDMzM7Ozs1euXDn4\n4W+uAV3R+vo6TdOlpaUv05j5HJZfFWuz2TBo8pG9Ejty7F6fwXcf1sXi4mIsxA1VsbAK5lfF\nIoTOnz8/PDwMHF01NTVYUK2uro6maSCKa2xsBEjHH/0R+r3fQ/8L+sH30f/GpbM0hzPzq79q\nvX6dzmZdLhezrkA4rbW1NRKJaDSasbGxfMZLmqZhw5pPLBkOh4VCIYRtIOUaiUSYK4cYgFar\nXV1dhSAlVgmVzWbhsw7Arz3L4sLhcDqdViqVWLoTokpA09/W1mY2m/Mdpn0MmOtra2tB3nRw\ncJCdioXO33vvPahXvXPnDrscGJwMiN+IxWKZTIblQwEBtrS0RBBEfvEXxLqam5v9fr9Go5mZ\nmXE6nezFeG5urqGhQafTkSQ5Pj6+sbHBXo8JgtDpdAA1KygoAPWtAxoMkcFgqKurEwgEDx8+\nxDx1EIzn8XighIa9qHD49evXo9GoVCq9e/eu0+lkHDtI3ySTyeXlZcilYh9u8KGfPn1KURQT\nf2IMkr9QTkhR1NTUVDQaZWKZEAnr6OiQSqVCoRAg/+zDQc0Cyj/z62ygc3gJDQYDcAgzUVh4\nuPAI1Go11CmzD+fxeEqlEkZDpVJhXkIikYC40erqqkajgTg0E7ABoh+4L6lUCuU47MNTqVRZ\nWRmcUa1WY7Xh8JTj8fja2ppOp7PZbIlEgvGY4cpjsdjdu3dBrxabBVKp9N1334UpplQqsWEp\nKCiALHAymdTr9ZhnBtd548aNcDgslUoHBwcjkQjbj6coCiAN4H1iJMPwcYCvQWVlpcfjYWeo\nI5EISZIwSiqVCtgZD+7YwfcK/H6DwbCyssKev7FYjMvlisXi1dVVuVwuEAgwlu/P7Fyr1cJT\nBjqCl7GufM1Mp9Ndv349GAwyD+5VGXyv2FWxR1q3X5IdRUFfn0mlUpfLFYlEIpGIy+XC5oxC\noYCECELIarXyeDwMHgRCkAghmqbX19cxByiRSFit1mg0Gg6HrVZrKpX64z9G/+Zf099G3/5L\n9L9yUTYrEIz8q39lfvdd6ISdI4CZNjs7azabx8bG0AsMO2PwrXS73eDVYSJRKpUqkUh4PB6o\nMCUIgn1r4PqkUqmrV69CWgfLaHC53I2Njb6+vsePHwcCASzAA+mzhw8f9vf337t3D2NaAafh\n0aNHCKGhoSH0Iq3MtlQq5XA4oNoAa1IoFAAwUqvVW1tbGHM9ZPFGRka0Wi1kD9nxAA6HQ5Lk\n5uZmNpsNhULgNLA71+l0uVxudXV1ZWUFwHbsVQG62t7e7uzshNAgGxOZy+USicT6+np/f//j\nx48zmQz2BVQoFPF4vKur6+rVqxgQ7TMN/CSXywWVmCgv4Mfn89PpdCwWg1wwtpjBjmJ9fZ0Z\nFiwf2tnZKZfLgZimpaUFeyIQ8olGo4yyO9uUSmU4HN7c3LTZbJBXza+wXlpaAuAjRVFYWQb4\nwc+ePRsdHSVJEju1QqEIBoObm5t2u311dRXrHKLCkOd1Op3pdBrzMObm5ra2toBD2OFwzM3N\nsVuheKKmpubq1atAAMQOM8tkMpIkYVO3u7sLdZrswwUCgd1uf/LkSW9vr8vlwqaYQqGIRqPt\n7e3AcwnyHtgT8fv9jY2NwAudX63C4XDUarVKpdrTNdHpdE1NTU1NTceOHcMcVsBxulwurVYb\nj8djsRj2snm93tbW1hs3bly/ft1oNGKEi0qlMpFIQPn52toawPXY95XL5eD9d7vdIJiWf3kv\nM5i/kCC22WzY/FUoFBRFlZeXX7161Wg0gmzgoTp3uVzJZBKuEAiPDn74G22ALX7lVbdMVSxC\nCKpiD/XhOrKD21HE7vUZQ2GK9sp2MVWxgKbCqmKB+Kq+vv7EiROQJ1pbW2Pniebm5kCSC7B6\nv/M73r/4M82P0D//JfS3CCFKoxn47d8OGI2IphFCQNTOHAvrJfuSMHC3Uqnc3d1lfoB5Zm1t\nbTs7O8DcQRAEluiB5cTj8UA9oFAoxEA2bJGxfASPxWLx+XyQPpuZmZmcnGRrwJeVlc3OzoZC\nIeicx+Ox83oIIZ/PNzQ0BPLtYrH44sWLbCemurp6Z2fn7t274KUBdzRjdXV1q6urfr+f6Rxj\nymhtbX3+/PnNmzehFdOYAskKhBCUSWJOTGNj4/r6utfrZYaFjfeC6+Hz+VevXg0EAsPDw5hX\nWl9f73a7P/nkE4Ig+Hz+YTmECwoKAoHArVu3EEIEQWC5b71eDx9feOLY9725udlmswG1B3SF\nOUASieSdd955WXiDz+eDRhmT42O3AgSe4fwrKytj+xlA++J0OmHQ8h9ZU1OT3++HoBGHw8Hg\nQUVFRUKhkOm8srKSPQtAbWxtbQ06l0gk2IvqcDhEIhEwHfb29jocDvYEbG5udjgcgJNDCNXW\n1rKjyyRJtre3P3/+fGFhgaKoyspKDMUvl8u9Xi+MCSQQ2a1lZWVOp/PBgwckSRIEcfr0afbY\nQm40mUxOTEzAjWO7o/0tl8sNDg4CIxKIvbLr1gUCQUtLy/Pnz6empiiKqq2txR63SCQKhUKw\nCwqHw1gFQ0dHh8fj6e/vh/9i4UCRSNTc3Dw+Pg4Z2/r6+nxFwX1s//krlUpPnDgxOjoKE7Ch\noSFfSmQfq62t3dragilGkmS+eu+RHdaYqtiVlRWKokpKSj5HucyRHcSOHLvXZ5FIpKmpCT4u\n4XDYYrFgPzhz5kx9fT2U7GFFWJBEoChqZGQEMP5YWmF3d7e+vp7L5RIE0dPT/N/+jOxBl8+j\npwgh1NCw/id/IhCLjSJRKBQqKyubmZnBCt/Qi2CJQCAgSRKTB00kEidPnkylUpBexLKxoG45\nNTWVTCZLS0sxxw4hdOnSJcB0a7XafERFPB7v6OhIpVI8Hi8Wi2FY+2AwqNPpYNCMRqPZbMYI\nit9//32LxWK32/V6PZuzHmx2dlalUoEjGwqFVlZW2EsLw1wP4Zl8CM7Vq1chMa1UKtkyIWBG\no7GoqMhmswkEAjYgEiwcDsvl8vb2diCNM5lMmEL59evXR0dHQ6FQQUEBW2wDIZTL5UBS/eOP\nP0YISSQSrHgCFIeA7rWysvJlyyFFUXtyUH3jG9/Y3t42mUxisRhbDhFCyWSyvr4+l8tBCbbJ\nZMJ+cPny5YmJiVAopNPp2M4N214W3sjlchKJBDToACnIbnW5XECoBoh1cJ7YvvjZs2f9fv/a\n2ppKpcqn8hcKhVeuXIHqonxZCyDlAV2KSCQyPz+P1TK3tLRUVlbabDaVSpW/5FAUJZfL4WJA\nQAz7wY0bNxwORzAYLCsryw8OlZSURKNRl8sllUrzufTi8XhzczO8IRRFYZUrBEF0dnYGg8FY\nLMbw/TIGL9Xbb78dCASUSuXMzMyhAOmbm5vRaPTGjRtCoXBpaWlqagojJKqoqIjH416vVy6X\n54/5sWPHnj175vP5IK6MUcxwudwPPvjAarUmEonS0tJ8Jrna2tqSkhIo3Tgsz9xnzt/6+vrS\n0lKAUhy2c6gKB0ELn8/n9Xr3zBG/bIp9vQ3i1p+j7qG4uPj69euBQEAkEh2F6748O3LsXp9J\nJJLV1VXwmYRCYf5rbbFYFhYWUqlUQUFBR0cHe22Ab8r6+jp6EfnDMHYSiWR5eXl6evrmzfrx\nvxWPomt1aBUhhC5cQDdv8vx+98wM5EFmZ2dJkmRvrCUSCUEQx48fLy4ujsVijx49wj6CYrEY\nKLIQQlwuF1vzYrFYb2+vSqXS6XTr6+upVCp/sS8qKnpZgZhUKg0EAm1tbblcbmBgABsWqVRq\nNpuB3MHtdguFwnwmKqPRiOnqMhYMBtmxLiyTC/Yy5vpcLgcAfJqmPR5Pb2/vu+++i33LxGJx\nPnUF0wTEsBRF8Xg84PFidz4wMAAoPZfLNTg4ePHiReYHEHQpLy8vLi4mSXJ0dDRfYBcE4mia\n9vl8sVgMK6bZ3t6enp6Ox+Mymay9vR17WwCtBQQuKysr2GotkUhsNhtUvXi9Xiz8k81me3p6\n0uk0pKjC4XB3d/fBs1RCoTAcDoNMLeTB2a1Op5ORFINAC1aZEYlEZmdn/X6/2+3mcrn5DFsc\nDudllMiRSEShUADQTa1Wz87OsjF2cPbx8XF4z7e3t7EqHAiqffTRR2ivoBpizV+3243NX4TQ\n0NCQz+fL5XK7u7s7OzvXrl3DqmHW19dhtyYUCvN9iI2NjcXFxXQ6XVhY2NHRwQ6jSqXSwsLC\n+fn5srIyi8VCUdShSD3gccBOsqSkZHFxMZVKMb4jSJyBjoLP5+vr67t8+TJ7DgLcEDKwCoVi\nz/zd/rJRYrH4UCFGzPZXnpBIJAdX3WWb2WzWaDTAyWexWEwmEzZNXC4XIKGlUmlbW9tha2bf\nUKNpemZmBmr4iouL29vbD6vkBoIWX9LlHRnYEcbu9Rmgd2GBTyQS2Lbb7/dPTU01NDR0d3eL\nRKLR0VF2KwZvRywNVjA+nx+Pxz/+uMHyt7Ex9NY/eHX/9J+i+/fRi6ULKIj3vLDjx4+Pjo4+\nfPjw4cOHGo0Gc8IA9Mrj8UiSBIAUuxVIierq6lQqVXNzs8ViyUez7WNAS3bv3r07d+7EYjHM\nT6qqqiJJ8u7duw8ePFhcXDxs7T2gnRQKBcT8DqXD5na7gQCsu7u7uroaag8PfrjBYKBpGryE\ndDqNeWZerxfCG62trRcvXtzd3cUiQK2traurq8+ePYM0FsZ+PDc3RxDEmTNnurq6RCIRZEUZ\ni8fjY2Nj5eXl3d3dWq0WaM/YPwBS2a6urpaWFpPJhN2XSCRKJpMcDgfY7LAX1Wq1Qkivu7u7\nuLg4EAhgQdb9DYD2u7u7Xq8XInPsViiGUKvVzIKBURCPjo7y+fyLFy82NjbOzs5iRQb7m0Kh\nAEYShJDNZsMwdtA5l8ttb28vKSmx2WyQj2YfDjMICgUwv23/+RuPxz0ej1ar7e7ubmxsTKfT\nsEljTCAQxONxHo/H5XLj8Tg25l6vd3Z2trGx8eLFizweD4CwjBEEce7cOa1Wu729zePxLly4\ngB3+mcMCewMYFqFQyD48Eol4PJ6uri54UUFkhX3406dPs9lsU1NTXawTj/oAACAASURBVF1d\nOBxmuGzedEun04y7KRKJGLInsGQyOTo6WlJS0t3drdfrR0dHsQ/y19VWV1e3trbOnDlz7ty5\nYDAImNQj+6rZUcTu9VkgEGCHZLCF3OPxqNVqWL9bW1vv3r0bi8WYvSasRoBngmoALPgUCoWe\nPbsQ+29DfeiXxSiOEEL/8l+i//SfEEEghGKxmE6nMxqNyWRSIpE8ffqUXVWHEGpoaNDr9UDo\nmh9aSyaT5eXlWq2Ww+FsbGxgC3k6nY5EIiMjI1AVSNM00IgccFg0Gs3Vq1d3dna4XG6+1iSX\ny7106RIk0bRa7efA89I0zZQ3Yl7C/gYPqK2tjSAItVq9vr4eCASwLNU+FgwGKyoqoBBBoVAs\nLi6yYWcgnAC+C5/PJ0kS872Ki4vfffddj8fD4/EMBgOW7oGKaQidlpWVYaKoPp+PYa4vKCjY\n3Nzc3d1l4l7ZbNbn8128eFGtVms0mp2dHZfLBXEsMBDzLSgoACrjpaUldueAHYRk4smTJx0O\nx+7u7sGhUSRJVlZWFhYWQoEIAOcZgwfk9/vD4TD4xOxa42QyGQqFOjs7ZTJZYWGh0+nEWJ33\nN71eX1xc3NPTw+Vyc7lce3s7e1QB4nbmzBkul6vX610uF6ZQHgwGjx8/DrMmHo9j2dL95y/s\nKFpaWuRyuVqtXlpawgrPg8FgU1MTn88HwmcM7QC3CeHJlpaWBw8eYOzHQJF9wHHArKKiYmtr\n6/79+zAaGCoA+CnhXPDGYi8qMA9DNMvj8RzK1f4qm16vn5qaKiwsFIlEi4uLRUVF7LC0z+cj\nSRJYpWCK+f3+n4dAlMvlMhqNUG937NixfJzGkX0V7Mixe30G32LA/sOnmd0KIbfnz58zLhc7\nUwMeAEEQer3e4/Hk4xtu364W/sWPPkK/zUE5miTNv/Vb1X/8x0yrUqm0WCzNzc06nQ6kUTGM\nMyhh+P1+4GLAMiOgJwbwuMXFRcz3AjAWhDHAdzlscF4kEr0sl4oQCofDoFBO07RUKj1sbRpJ\nkvX19RRFraysHAoUAumw8fFxwF0xfzmg8fl8r9ebzWYpiopGo7BmM62FhYU0TY+Pj6tUqkAg\nQJJkfucg6L5n5zKZzOv1PnnyhKbpSCSCDTig4CF/DZqq7HcJEIcgBgCcJhhVFbyKIMoeCoWw\nbCksYz09PQwV8KFU2CsqKp49ewbLf34GWaFQQBOQC6JPk0LzeDxQFpbJZDRNx+Px/KXU5XJB\nnggS2Vjr6dOn6+rq4vE4kGuwm+C/Q0NDoOqB9ioWTqVSACGdmZnJb4Wh5nA4EP1i/wDuYmho\nCMjVgL4kv3MAiQKDK7sVgv0wuQCDeNgpto9xOJzz588HAoFkMqlWq7FTK5VKoVA4MTFhNBp3\ndnZArJb9AwAswr9TqdRr0+z6sq28vDwajc7MzEBqG6vKgikGOetUKgXcPf9Yl/o6DT4O8O98\nPuoj+4rY12QSvhEGSRZIo7BrF8C0Wu309LTdbheLxS6XCxN6ggV+d3d3aGgIpIHYIZb/+4+o\n43/xZ7+B/l+EUFYoHvut36z9zd9kd15aWrq6uvrw4UOEEEEQJ0+exNyjkZERwC/v7Ow4nc7L\nly+zZ2xFRYXZbL5z5w5N08lkEvvGhUIhDocDHziJRBKLxdgYnS9okUjkyZMnwBaxsLAQiUQO\nFZkAKDoTczoUXFen0ykUiq2tLbvdDhx7h9qRC4XCUChEkiSHw/H5fJiLJhAIysvLzWazzWYj\nCKK6uvpQn8jy8nKPx+P3+8GZxi5Mq9VKpdLHjx9rNBqXywU3wrRCAhT4WgEqh11bWVnZ8PCw\n0+mE0cOS48XFxdPT06FQCBwvLpd7KBYJeKshbwWy8ezWmpoakBSDpD/m75IkWVVVNTY2Vlxc\nDFJ1GNOK0+kcHR0tLy8nCGJsbKy9vT0f3aVUKvd8DQBpSlGURCIBFw1DTdXW1g4PD8Oqtr29\nzVZrRQiVlpYuLS319vYqlcrt7e3KykpMM0MoFMZisXg8Dv4ZduW1tbVjY2PARxgOhzFlYQjK\nPnjwQCAQhEIhwCfsObyf217mnZMkee7cuenp6aGhIalU2tnZiUHWysvLNzc37969S1FUKpXC\nasPfaDt+/Pjx48f3rO8uLCxUKpW9vb0g0VZYWHio7c2bazU1NQMDA1BI53Q6v06P++tkR47d\n67PCwkIm/qFQKLDlEJy50tLSRCJRXFy8vLzM5twXiUTFxcUgOAbBDGZh+H/+j1jNv/sf3kef\nIIQSKq31e3/acOUKFv4B+ddjx44JBAKXy2U2m9mi1JD6ASGydDqdzWa3t7fZK2JbW5tEItnc\n3ORwOM3NzViAB8JgFy5ckEgkz58/39zcfHVj9g/kyalUSiwWZzIZs9nc0tJy8KBdeXn59vY2\nrIKpVOpQUtwgxhqJRAQCQSaTkclkhwr42e12gUBQVlaWzWYTiQSWXItEImaz+a233iouLrbb\n7RMTE7W1tQdHeXu93qKiIplMBt4PBpKDOuWNjY1wOFxXV8conILlcjkIHieTSfA7zWYz+3G7\nXC7IGCKEYrEYllzzer08Hq+6uhpg4yaTKRwOH9y3M5vNlZWVoBy1srJisVjYBRCBQEAoFMrl\ncij/dLlcQIPM/KC1tbWgoMDj8eh0upqaGqx43Gw2V1dXg+svEomw+9rfQCy4pKQkGAyC4BvG\nOK3X60HmEiF04cIFTA0Fct9zc3PAzo3VhicSiWQyeezYsXg8LpFIrFarx+Nh35dQKCQIAsJy\nsE1iH87j8UQiUTAYhODQoWg7vripVCqs1pVtHR0dYrHY4XDweLyTJ0/uSWAB8Iw3NJi359eG\nw+F0dXVtbGyEQqGamprq6uqfE5Y7jUbzjW98Y3NzM5fLnT9//uekZOSNszdypr2hBpJEgMiW\nSqUYpVM2mwXdLYRQLBZbXl4GAQDmB2fOnNnY2PD5fBKJpK6uDpq+/weuzu++34EmEUKp2hOi\n3nvH9vqwAkYHOtfr9RhGBzJH4GQkk8lPPvnE7/djK2J9fX0+0wFYWVmZz+e7f/8++D18Pj8/\nXOfxeKxWq16vPyxxEQSlysrKwM0FnuGDhyug2MLpdHK53MbGxkPJ4wSDQYfD0dnZCUv12NiY\n3+8/eDYWsjPgZJhMJgxyHgwGBQIBIPbKy8shBnZwxy6bzUqlUugcYorYD3g83svKdQG7BlQR\nkUgEeGrYPwiHw3q9vqSkJJvNJpPJmZkZ7HCG0i+bzQLlygEvGw5h/BKBQIAdC+98V1cXQiid\nTt++fRv7AcSqIQCG5VLRi0kEdCf5ne9vIESr0+kgHga8Qthv9lG3CwaDz58/r6urKygoWFtb\nGx0dvXTpEvvC0Aty5kwmA2Qu7MNNJlN5eXlHRwdCaHR0dGlpqbOzk2kFqYmuri4oE56fn8ec\n9X9cg8jWy1qXlpaWl5cpiiosLDx9+vTnq1H9ChqXy33ZJ/HrbSqV6lB0g0f2+u3IsXt9JhKJ\ngGQLIaRWq7Hwj16vN5lMi4uLsDAw8mKMkSRZV1fHpmr7wb/Z+Mb/da0GrSOEYp2XJA8+Qi/Z\nyu+P0QE/yWKxcDgcj8dDEMSeiVSodc2PWpWXly8uLkL2CiGUTyb35MkTuGur1To9Pf3BBx/s\nO06fMkjJORwOiUQC9SL7K5lixuPxOjo6YL08rIEmFVPeCCpVB3fsiouL19bWxsbGxGLx+vo6\n9jSlUmkqlQoGg0ql0u/3ZzKZQy14IDqnUCgEAsHCwkI+mGwfg8edTCZdLheUlWBxL7lcvr6+\nvrq6Ckl/LHGp0+lmZmZmZmaKioo2NzcPy0dlMBhMJpNUKiVJ0mQyYcUoOp1udnZ2bm5Oq9Wa\nzWZAfLJ/sL29PT4+DvoKZWVlGFWvVqs1mUwMoPtQAVqSJEtLS6empuC/EG09+OEul0ulUsHe\nSaFQ3L9/nw23kEqlXC53dXW1qKjI4XAkk0kscxePx5k9j1qtdjgc7FbQ/+jv74eaXIgBfxGK\nkNdmW1tby8vLoAK3sLAwPj7O1lM+siM7si/Djhy712r7kGwplcozZ84sLCysra1pNJp82ljM\n/vY3Rr/5vQ8KkQ8htPut/1n193+OXo6nLisrW15evnfvHo/Hi0ajGEZHqVSSJOn1el0uFyRk\nMcxWLBZ7+PAhVCzy+fz333+f7d7ZbDYIw2QyGT6fv76+zo4V+f1+CHR1d3dPT09vbGzMz8+z\no5XZbHZoaMjv93M4nOLiYow8DNI38Xickf58teiira2tlZWVTCaj1+sbGxvZ2aJcLkfTtFar\n7ezsnJiY2N7exopqKYpaXFwEjona2lrMD2hpaYnFYiBCBWIM7FaVSlVRUdHb2yuVSqPRaHV1\n9aGQauXl5YlEAqJlxcXFh2KBAeeAJMmVlRUQrsDyKfu7zsBpPDc3Z7FYQGb0UE+kuro6lUot\nLCzkcrnS0tJ8GZLOzs75+Xmz2VxQUHDu3Dn2m0bT9OTkZHV1dWNjYzgc7uvrczgc7GGHODRs\nMPJ5tve3XC7ndDplMhlwZSeTyZ2dnYN7zCRJAvMfQRCAIGQPCwisqdVqt9stFouhUpsd/FOr\n1ZubmyBDZ7VasQIFqCB+6623DAbDwMAA8Lse/NYQQuFwGECTZWVlhz32i5jH4zEYDPCMTpw4\n8eTJE4xg/MiO7MheuR1NsK+QlZSUHJBN484/++m3/us/E6IkjQjfr/++5v/79v6/B54C0D3M\n5XJYhIYkSaFQCLBuIFLHPv2PHj3KZrMymYyiqEQi8eDBg+vXrzOtLpcrk8lUVlbK5fKVlRXQ\nAGVifpAlhOTayZMnNzY2MDXJ/v7+3d3d0tLSdDpts9kAqcO0srkVwOF4hWAdj8czNjZWV1cH\n3NGpVIrtVgLdSSAQuH37Nkg5YTwvMzMzLpfr2LFjiURiYmKCz+djTDH7e+cdHR0VFRWhUEip\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7e3bTabz+dTKBTXrl07/MFxHJfL5RaL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\nCAQCgUAgEGcEFNghEAgEAoFAnBFQY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- "text/plain": [ - "plot without title" - ] - }, - "metadata": { - "image/png": { - "height": 420, - "width": 420 - }, - "text/plain": { - "height": 420, - "width": 420 - } - }, - "output_type": "display_data" - } - ], - "source": [ - "history <- small.nn %>% fit(\n", - " Wage$age,\n", - " Wage$wage,\n", - " batch_size=length(Wage$age),\n", - " epochs = 20,\n", - " steps_per_epoch = 1000,\n", - " validation_split = 0\n", - ")\n", - "final.rse(history)\n", - "plot.baseline()\n", - "plot.nn.pred(small.nn, col = \"red\")" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "The dependence on the initial condition is unsatisfactory.\n", - "Fortunately, however, the initialization functions of popular deep learning libraries like `keras` work often quite well, if the predictors and responses are properly preprocessed, i.e. centered and scaled.\n", - "If we do this for the `Wage` data set we get for example the following.\n" - ] - }, - { - "cell_type": "code", - "execution_count": 44, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Model: \"sequential_6\"\n", - "________________________________________________________________________________\n", - "Layer (type) Output Shape Param # \n", - "================================================================================\n", - "dense_10 (Dense) (None, 5) 10 \n", - "________________________________________________________________________________\n", - "dense_11 (Dense) (None, 1) 6 \n", - "================================================================================\n", - "Total params: 16\n", - "Trainable params: 16\n", - "Non-trainable params: 0\n", - "________________________________________________________________________________\n" - ] - }, - { - "data": { - "text/html": [ - "39.937111880502" - ], - "text/latex": [ - "39.937111880502" - ], - "text/markdown": [ - "39.937111880502" - ], - "text/plain": [ - "[1] 39.93711" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "wage.scaled = scale(Wage$wage)\n", - "wage.scale = attr(wage.scaled, 'scaled:scale')\n", - "wage.center = attr(wage.scaled, 'scaled:center')\n", - "age.scaled = scale(Wage$age)\n", - "age.scale = attr(age.scaled, 'scaled:scale')\n", - "age.center = attr(age.scaled, 'scaled:center')\n", - "small.nn <- keras_model_sequential()\n", - "small.nn %>%\n", - " layer_dense(units = 5, activation = 'relu', input_shape = c(1)) %>%\n", - " layer_dense(units = 1, activation = 'linear')\n", - "summary(small.nn)\n", - "small.nn %>% compile(\n", - " loss = 'mse',\n", - " optimizer = 'adam'\n", - ")\n", - "history <- small.nn %>% fit(\n", - " age.scaled,\n", - " wage.scaled,\n", - " batch_size=length(age.scaled),\n", - " epochs = 10,\n", - " steps_per_epoch = 1000,\n", - " validation_split = 0\n", - ")\n", - "wage.scale * final.rse(history)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Note that we always have to carefully scale the results such that they are comparable to the unscaled versions." - ] - }, - { - "cell_type": "code", - "execution_count": 47, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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CpPnz7tdDpFIlHYlxdOSko6c+bM2zWelJR08uTJ2dlZLpebmZkZlHeTk5PHxsYm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2my2ZTO535UVFRVeuXLl+/Xp9fT1lpxVqEc/MzG3l0ggAACAASURBVAAAoFpberoO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\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FaCuFzu7k66vQfHkzozMzNms7m4uDjZ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\n4DUon3VhZmZhzRHmKZQi9t4fiPutS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- "text/plain": [ - "plot without title" - ] - }, - "metadata": { - "image/png": { - "height": 420, - "width": 420 - }, - "text/plain": { - "height": 420, - "width": 420 - } - }, - "output_type": "display_data" - } - ], - "source": [ - "plot.baseline()\n", - "small.nn.pred = predict(small.nn, x = (age.grid - age.center)/age.scale)\n", - "lines(age.grid, wage.scale * small.nn.pred + wage.center, lw = 2, col = \"green\")" - ] - }, - { - "cell_type": "code", - "execution_count": 45, - "metadata": {}, - "outputs": [ - { - "data": { - "text/html": [ - "
    \n", - "\t
  1. 37.4692998094845
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  3. 37.6260251408418
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\n" - ], - "text/latex": [ - "\\begin{enumerate*}\n", - "\\item 37.4692998094845\n", - "\\item 37.6260251408418\n", - "\\item 41.1318356104715\n", - "\\item 45.0083559908573\n", - "\\item 45.0238876503993\n", - "\\end{enumerate*}\n" - ], - "text/markdown": [ - "1. 37.4692998094845\n", - "2. 37.6260251408418\n", - "3. 41.1318356104715\n", - "4. 45.0083559908573\n", - "5. 45.0238876503993\n", - "\n", - "\n" - ], - "text/plain": [ - "[1] 37.46930 37.62603 41.13184 45.00836 45.02389" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "w <- get_weights(small.nn)\n", - "(-w[[2]]/w[[1]][1,]) * age.scale + age.center" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "This time the kinks lie in the interesting region between 20 and 80 years of age and the final RSE is between the one of the linear spline fit and the one of the large neural network.\n", - "\n", - "Why did the large neural network still get great performance even without proper preprocessing of the data?\n", - "The larger the network the higher the chance that some of the neurons still have some initial weights and biases that can become useful.\n" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Prediction Intervals" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "The approach to obtain prediction intervals that we discuss here is by no means standard in the deep learning community.\n", - "Prediction intervals are not obvious to obtain for neural networks.\n", - "We look at this approach here, because it illustrates, how problems in deep learning are often addressed by creating a custom loss function and fitting a generic neural network.\n", - "Here is the custom loss function to get prediction intervals.\n", - "\n", - "Don't worry about the details here; what matters is that this is just a custom loss function that takes true and predicted values as input and returns some positive scalar." - ] - }, - { - "cell_type": "code", - "execution_count": 49, - "metadata": {}, - "outputs": [], - "source": [ - "HQPI <- function(y_true, y_pred, alpha = 0.05, factor = 500, s = 100) {\n", - " K <- backend()\n", - " y_T <- y_true[,1]\n", - " y_U <- y_pred[,1]\n", - " y_L <- y_pred[,2]\n", - " gamma_U <- K$sigmoid(s*(y_U - y_T))\n", - " gamma_L <- K$sigmoid(s*(y_T - y_L))\n", - " gamma_ <- gamma_U * gamma_L\n", - " qd_lhs_soft <- K$sum(K$abs(y_U - y_L)*gamma_) / (K$sum(gamma_) + .001)\n", - " PICP_soft <- K$mean(gamma_)\n", - " qd_rhs_soft <- factor*K$square(K$maximum(0., 1 - alpha - PICP_soft))\n", - " qd_lhs_soft + qd_rhs_soft\n", - "}" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Now we simply fit a standard neural network, which has 2 output neurons this time: one for the lower and one for the upper bound.\n", - "Again the exact result will depend a lot on the initial conditions.\n", - "With a slightly larger networks one would get more consistent results." - ] - }, - { - "cell_type": "code", - "execution_count": 50, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Model: \"sequential_8\"\n", - "________________________________________________________________________________\n", - "Layer (type) Output Shape Param # \n", - "================================================================================\n", - "dense_14 (Dense) (None, 10) 20 \n", - "________________________________________________________________________________\n", - "dense_15 (Dense) (None, 2) 22 \n", - "================================================================================\n", - "Total params: 42\n", - "Trainable params: 42\n", - "Non-trainable params: 0\n", - "________________________________________________________________________________\n" - ] - }, - { - "data": { - "image/png": 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//r5S+WiyJUIwAAAECkRckIG1HKI3/9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Nhn/9C15+GZ55Bp56CpZF2N3PzCzsdBVP3f7T1/46AfAAACAASURBVE4OmNGLHb6N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\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HmyqalJr9czvpdQKIxEImw2G9XsGA/q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\nIAgywxYEL1gQvKDpXNPGAxt1Bt26zHUx3jHmDspyoalY5FqRW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- "text/plain": [ - "plot without title" - ] - }, - "metadata": { - "image/png": { - "height": 420, - "width": 420 - }, - "text/plain": { - "height": 420, - "width": 420 - } - }, - "output_type": "display_data" - } - ], - "source": [ - "modelPI <- keras_model_sequential()\n", - "modelPI %>%\n", - " layer_dense(units = 10, activation = 'relu', input_shape = c(1)) %>%\n", - " layer_dense(units = 2, activation = 'linear')\n", - "summary(modelPI)\n", - "modelPI %>% compile(\n", - " loss = HQPI,\n", - " optimizer = 'adam'\n", - ")\n", - "history <- modelPI %>% fit(\n", - " age.scaled,\n", - " wage.scaled,\n", - " batch_size=length(age.scaled),\n", - " epochs = 20,\n", - " steps_per_epoch = 2000,\n", - " validation_split = 0\n", - ")\n", - "predictionsPI = wage.scale * predict(modelPI, x = (age.grid - age.center)/age.scale) + wage.center\n", - "plot(age, wage, xlim = agelims, cex =.5, col =\" darkgrey \")\n", - "lines(age.grid, wage.scale * small.nn.pred + wage.center, lwd = 2, col = \"blue\")\n", - "lines(age.grid, predictionsPI[,1], lwd =.5, col =\" blue \", lty = \"solid\")\n", - "lines(age.grid, predictionsPI[,2], lwd =.5, col =\" blue \", lty = \"solid\")\n", - "spline.pred = predict(spline.fit, data.frame(age = age.grid), interval = \"prediction\")\n", - "lines(age.grid, spline.pred[,1], lwd = 2, col = \"darkgreen\")\n", - "lines(age.grid, spline.pred[,2], lwd = .5, col = \"darkgreen\")\n", - "lines(age.grid, spline.pred[,3], lwd = .5, col = \"darkgreen\")" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [] - } - ], - "metadata": { - "kernelspec": { - "display_name": "R", - "language": "R", - "name": "ir" - }, - "language_info": { - "codemirror_mode": "r", - "file_extension": ".r", - "mimetype": "text/x-r-source", - "name": "R", - "pygments_lexer": "r", - "version": "3.6.1" - } - }, - "nbformat": 4, - "nbformat_minor": 2 -} diff --git a/src/artificial_neural_networks_2.ipynb b/src/artificial_neural_networks_2.ipynb deleted file mode 100644 index 38a3fe0..0000000 --- a/src/artificial_neural_networks_2.ipynb +++ /dev/null @@ -1,1015 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# Classification with Artificial Neural Networks" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Binary Classification" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "We will try now to classify images that contain hand-written digits 6 or 8.\n", - "For this we load the MNIST data set and plot some images." - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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CQABxAJwAFEAnAAkQAcQCQABxAJwAFE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\n3go8Lc4P6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- "text/plain": [ - "plot without title" - ] - }, - "metadata": { - "image/png": { - "height": 420, - "width": 420 - }, - "text/plain": { - "height": 420, - "width": 420 - } - }, - "output_type": "display_data" - } - ], - "source": [ - "library(keras)\n", - "mnist <- dataset_mnist()\n", - "par(mfrow = c(4, 6), oma = c(0, 0, 0, 0), mar = c(.1, .1, .1, .1), pty=\"s\")\n", - "for (i in sample(1:60000, 24)) {\n", - " image(t(1 - mnist$train$x[i, 28:1, 1:28]), col = gray.colors(256), axes = FALSE, xaxs = 'r', yaxs = 'i')\n", - "}" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "The data set contains not only sixes and eights.\n", - "Therefore we select first a subset.\n", - "Note that the data arrays `mnist$train$x` and `mnist$test$x` are three dimensional.\n", - "The first dimension runs over the different images and the second and third dimension over the x- and y-coordinate of the images." - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "metadata": {}, - "outputs": [ - { - "data": { - "text/html": [ - "
    \n", - "\t
  1. 60000
  2. \n", - "\t
  3. 28
  4. \n", - "\t
  5. 28
  6. \n", - "
\n" - ], - "text/latex": [ - "\\begin{enumerate*}\n", - "\\item 60000\n", - "\\item 28\n", - "\\item 28\n", - "\\end{enumerate*}\n" - ], - "text/markdown": [ - "1. 60000\n", - "2. 28\n", - "3. 28\n", - "\n", - "\n" - ], - "text/plain": [ - "[1] 60000 28 28" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "dim(mnist$train$x)" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": {}, - "outputs": [], - "source": [ - "subset.train.6.8 = mnist$train$y == 6 | mnist$train$y == 8\n", - "x_train <- mnist$train$x[subset.train.6.8,,]\n", - "y_train <- mnist$train$y[subset.train.6.8] == 6\n", - "subset.test.6.8 = mnist$test$y == 6 | mnist$test$y == 8\n", - "x_test <- mnist$test$x[subset.test.6.8,,]\n", - "y_test <- mnist$test$y[subset.test.6.8] == 6" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "We see that the training set contains only 11769 images of the full data set." - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": {}, - "outputs": [ - { - "data": { - "text/html": [ - "
    \n", - "\t
  1. 11769
  2. \n", - "\t
  3. 28
  4. \n", - "\t
  5. 28
  6. \n", - "
\n" - ], - "text/latex": [ - "\\begin{enumerate*}\n", - "\\item 11769\n", - "\\item 28\n", - "\\item 28\n", - "\\end{enumerate*}\n" - ], - "text/markdown": [ - "1. 11769\n", - "2. 28\n", - "3. 28\n", - "\n", - "\n" - ], - "text/plain": [ - "[1] 11769 28 28" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "dim(x_train)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Since we want to feed these images to a neural network, we concatenate first all the 28 rows of the image to one long vector of 28 * 28 = 784 pixel values." - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "metadata": {}, - "outputs": [ - { - "data": { - "text/html": [ - "
    \n", - "\t
  1. 11769
  2. \n", - "\t
  3. 784
  4. \n", - "
\n" - ], - "text/latex": [ - "\\begin{enumerate*}\n", - "\\item 11769\n", - "\\item 784\n", - "\\end{enumerate*}\n" - ], - "text/markdown": [ - "1. 11769\n", - "2. 784\n", - "\n", - "\n" - ], - "text/plain": [ - "[1] 11769 784" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "x_train <- array_reshape(x_train, c(nrow(x_train), 784))\n", - "x_test <- array_reshape(x_test, c(nrow(x_test), 784))\n", - "dim(x_train)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Now we are left with 11769 vectors with 784 input dimensions.\n", - "\n", - "Then we pre-process the images.\n", - "We do subtract the mean per pixel, but we do not scale the pixel values to have unit variance, because some of the pixels at the border of the image have very low variance compared to pixels in the center of the image; instead we simply normalize the image with a constant such that the pixel-wise difference between the highest and the lowest value is not more than one.\n", - "Note that we apply the exact same preprocessing to the training and test data, i.e. we subtract the mean of the training images from the test images with the function `sweep`." - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "metadata": {}, - "outputs": [ - { - "data": { - "text/html": [ - "
    \n", - "\t
  1. -0.707262849060093
  2. \n", - "\t
  3. 0.999719102527577
  4. \n", - "
\n" - ], - "text/latex": [ - "\\begin{enumerate*}\n", - "\\item -0.707262849060093\n", - "\\item 0.999719102527577\n", - "\\end{enumerate*}\n" - ], - "text/markdown": [ - "1. -0.707262849060093\n", - "2. 0.999719102527577\n", - "\n", - "\n" - ], - "text/plain": [ - "[1] -0.7072628 0.9997191" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "x_train <- x_train / 255\n", - "x_test <- x_test / 255\n", - "x_train <- scale(x_train, center = TRUE, scale = FALSE)\n", - "x_test <- sweep(x_test, 2, attr(x_train, 'scaled:center'))\n", - "range(x_train)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Now we fit as a benchmark a logistic regression model.\n", - "To do so, we transform the data into a `data.frame`, attach it and then use the function `reformulate` to avoid the pain of manually writing the formula `y_train ~ X1 + X2 + ... + X784`, where `X1` is the column that contains the values of the first pixel across all images. As mentioned above, some pixels at the border of MNIST images have the same value accross all images. We will not include these pixels in the fit, but pick only columns (pixels) where the variance across images is non-zero. It will take some time to run this fit." - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "Warning message:\n", - "“glm.fit: algorithm did not converge”\n", - "Warning message:\n", - "“glm.fit: fitted probabilities numerically 0 or 1 occurred”\n", - "Warning message in predict.lm(object, newdata, se.fit, scale = 1, type = if (type == :\n", - "“prediction from a rank-deficient fit may be misleading”\n" - ] - }, - { - "data": { - "text/html": [ - "0.975155279503106" - ], - "text/latex": [ - "0.975155279503106" - ], - "text/markdown": [ - "0.975155279503106" - ], - "text/plain": [ - "[1] 0.9751553" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "x_train.df <- data.frame(x_train)\n", - "cols = names(x_train.df[, sapply(x_train.df, function(v) var(v) != 0)]) # pick only rows with some variance.\n", - "linear.fit <- glm(reformulate(termlabels=cols, response = \"y_train\"), family = \"binomial\", data = x_train.df)\n", - "linear.pred <- predict(linear.fit, data.frame(x_test), type = \"response\")\n", - "mean((linear.pred > .5) == y_test)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "With logistic regression we can classify images containing sixes and eights with 97.5% accuracy on the test set.\n", - "This looks already pretty good.\n", - "A common measure to quantify a binary classifier is the area under the ROC curve (AUC) as we have seen in chapter 4.\n", - "Remember that the ROC curve shows the number of true positives versus false positives for different choices of the decision threshold.\n", - "Here we will use the `ROCR` package to evaluate the logistic regression model." - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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QAQrRS1lPPJfWecceFjX6RnmMo1a9u2IHz+5COfrVjbWavGPvPiV6GgTZsm6Zpr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\ngJgIu3SzVywAEBNhl25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- "text/plain": [ - "plot without title" - ] - }, - "metadata": { - "image/png": { - "height": 420, - "width": 420 - }, - "text/plain": { - "height": 420, - "width": 420 - } - }, - "output_type": "display_data" - } - ], - "source": [ - "library(ROCR)\n", - "linear.ROCRpred <- prediction(linear.pred, as.numeric(y_test))\n", - "linear.ROCRperf <- performance(linear.ROCRpred, 'tpr', 'fpr')\n", - "plot(linear.ROCRperf, lwd = 2, col = \"blue\")" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "The are under this curve is the AUC and we can get this value directly with the help of ROCR." - ] - }, - { - "cell_type": "code", - "execution_count": 10, - "metadata": {}, - "outputs": [ - { - "data": { - "text/html": [ - "
    \n", - "\t
  1. 0.989790931655185
  2. \n", - "
\n" - ], - "text/latex": [ - "\\begin{enumerate}\n", - "\\item 0.989790931655185\n", - "\\end{enumerate}\n" - ], - "text/markdown": [ - "1. 0.989790931655185\n", - "\n", - "\n" - ], - "text/plain": [ - "[[1]]\n", - "[1] 0.9897909\n" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "attr(performance(linear.ROCRpred, 'auc'), 'y.values')" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "We see that the AUC is 0.9898, which also tells us that this classifier is already pretty good.\n", - "\n", - "Now we fit a neural network." - ] - }, - { - "cell_type": "code", - "execution_count": 11, - "metadata": {}, - "outputs": [], - "source": [ - "nn <- keras_model_sequential()\n", - "nn %>%\n", - " layer_dense(units = 128, activation = 'relu', input_shape = c(784)) %>%\n", - " layer_dense(units = 128, activation = 'relu') %>%\n", - " layer_dense(units = 1, activation = 'sigmoid')\n", - "nn %>% compile(\n", - " loss = 'binary_crossentropy',\n", - " optimizer = 'adam',\n", - " metrics = c('accuracy')\n", - ")\n", - "history <- nn %>% fit(\n", - " x_train, y_train,\n", - " epochs = 30, batch_size = 128,\n", - " validation_split = 0\n", - ")" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "We evaluate it on the test set:" - ] - }, - { - "cell_type": "code", - "execution_count": 12, - "metadata": {}, - "outputs": [ - { - "data": { - "text/html": [ - "
\n", - "\t
$loss
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0.0208600831057397
\n", - "\t
$acc
\n", - "\t\t
0.995859205722809
\n", - "
\n" - ], - "text/latex": [ - "\\begin{description}\n", - "\\item[\\$loss] 0.0208600831057397\n", - "\\item[\\$acc] 0.995859205722809\n", - "\\end{description}\n" - ], - "text/markdown": [ - "$loss\n", - ": 0.0208600831057397\n", - "$acc\n", - ": 0.995859205722809\n", - "\n", - "\n" - ], - "text/plain": [ - "$loss\n", - "[1] 0.02086008\n", - "\n", - "$acc\n", - "[1] 0.9958592\n" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "nn %>% evaluate(x_test, y_test)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Wow, the accuracy is above 99%.\n", - "\n", - "We could have seen this also by computing the predictions explicitly." - ] - }, - { - "cell_type": "code", - "execution_count": 13, - "metadata": {}, - "outputs": [ - { - "data": { - "text/html": [ - "0.995859213250518" - ], - "text/latex": [ - "0.995859213250518" - ], - "text/markdown": [ - "0.995859213250518" - ], - "text/plain": [ - "[1] 0.9958592" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "nn.pred <- predict(nn, x_test)\n", - "mean((nn.pred[,1] > 0.5) == y_test)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "We compare the neural network now to the logistic regression baseline:" - ] - }, - { - "cell_type": "code", - "execution_count": 14, - "metadata": {}, - "outputs": [ - { - "data": { - "text/html": [ - "
    \n", - "\t
  1. 0.999915871103814
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kdd0OOoVX8o7H3RyOKzp02eWtK4Q7tGNat2uFW+fv65t8uan37tlXu3Wt2J1pyG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\nqFhh5OI/dta6nRvf61H71Qy6TkHTJ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- "text/plain": [ - "plot without title" - ] - }, - "metadata": { - "image/png": { - "height": 420, - "width": 420 - }, - "text/plain": { - "height": 420, - "width": 420 - } - }, - "output_type": "display_data" - } - ], - "source": [ - "nn.ROCRpred <- prediction(nn.pred, as.numeric(y_test))\n", - "attr(performance(nn.ROCRpred, 'auc'), 'y.value')\n", - "nn.ROCRperf <- performance(nn.ROCRpred, 'tpr', 'fpr')\n", - "plot(linear.ROCRperf, lwd = 2, col = \"blue\")\n", - "plot(nn.ROCRperf, add = T, col = \"red\", lwd = 2)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "The neural network achieves an AUC of 0.9999. Pretty good :)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Classification with more than two classes" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Now we look at classification of the MNIST data set into all 10 digit classes.\n", - "To begin with we preprocess the data as before." - ] - }, - { - "cell_type": "code", - "execution_count": 15, - "metadata": {}, - "outputs": [], - "source": [ - "x_train <- mnist$train$x\n", - "y_train <- mnist$train$y\n", - "x_test <- mnist$test$x\n", - "y_test <- mnist$test$y\n", - "x_train <- array_reshape(x_train, c(nrow(x_train), 784))\n", - "x_test <- array_reshape(x_test, c(nrow(x_test), 784))\n", - "# rescale\n", - "x_train <- x_train / 255\n", - "x_test <- x_test / 255\n", - "x_train <- scale(x_train, center = T, scale = F)\n", - "x_test <- sweep(x_test, 2, attr(x_train, 'scaled:center'))" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "As a benchmark we classify with linear discriminant analysis (LDA).\n", - "As above, we will only use the pixels (columns) that have non-zero variance." - ] - }, - { - "cell_type": "code", - "execution_count": 16, - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "Warning message in lda.default(x, grouping, ...):\n", - "“variables are collinear”\n" - ] - }, - { - "data": { - "text/html": [ - "0.873" - ], - "text/latex": [ - "0.873" - ], - "text/markdown": [ - "0.873" - ], - "text/plain": [ - "[1] 0.873" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "library(MASS)\n", - "x_train.df <- data.frame(x_train)\n", - "cols = names(x_train.df[, sapply(x_train.df, function(v) var(v) != 0)])\n", - "lda.fit = lda(reformulate(termlabels = cols,\n", - " response = \"y_train\"), data = x_train.df)\n", - "lda.pred = predict(lda.fit, data.frame(x_test))\n", - "mean(apply(lda.pred$posterior, 1, which.max)-1 == y_test)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "LDA gets 87.3\\% of the labels correct on the test set.\n", - "\n", - "Now we prepare the response to fit a neural network." - ] - }, - { - "cell_type": "code", - "execution_count": 17, - "metadata": {}, - "outputs": [ - { - "data": { - "text/html": [ - "
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TavP8oaG8ytBwAAADITgp01yGOPbS8m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SItq8fnLckqCmprGUdDUlVU1J4ybz8Q4T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\nM+tQYT+hKNb2AwAA4hzBLn7pDdMm2A8LAACOA8EuXkUi2sb1Zhlt1z6S1cn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- "text/plain": [ - "plot without title" - ] - }, - "metadata": { - "image/png": { - "height": 420, - "width": 420 - }, - "text/plain": { - "height": 420, - "width": 420 - } - }, - "output_type": "display_data" - } - ], - "source": [ - "nn <- keras_model_sequential()\n", - "nn %>%\n", - " layer_dense(units = 128, activation = 'relu', input_shape = 784) %>%\n", - " layer_dense(units = 128, activation = 'relu') %>%\n", - " layer_dense(units = 10, activation = 'softmax')\n", - "nn %>% compile(\n", - " loss = 'categorical_crossentropy',\n", - " optimizer = 'adam',\n", - " metrics = c('accuracy')\n", - ")\n", - "history <- nn %>% fit(\n", - " x_train, y_train,\n", - " epochs = 10, batch_size = 128,\n", - " validation_split = 0.1\n", - ")\n", - "plot(history)\n", - "nn %>% evaluate(x_test, y_test)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "The accuracy around 97.5\\% of this neural network is already much better than the one of LDA.\n", - "\n", - "Finally, we prepare the input for a neural network classifier with convolutional layers." - ] - }, - { - "cell_type": "code", - "execution_count": 20, - "metadata": {}, - "outputs": [], - "source": [ - "x_train <- array_reshape(x_train, c(nrow(x_train), 28, 28, 1))\n", - "x_test <- array_reshape(x_test, c(nrow(x_test), 28, 28, 1))" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "This reshaping is needed such that the convolutional networks knows that the input contains images of 28x28 pixes with one (colour) channel.\n", - "\n", - "We will use two convolutional layers with 32 and 64 filters respectively, where the size of each filter is 5$\\times$5 pixels.\n", - "After the convolutional layers we flatten the output to pass it to a standard hidden layer.\n", - "\n", - "This is a standard architecture: first a few convolutional layers and on top of this one or a few hidden layers.\n", - "\n", - "Training convolutional neural networks on standard CPUs takes rather long, because each convolution requires many multiplications and additions.\n", - "Modern Graphics Processing Units (GPUs) are optimized to run many multiplications and additions in parallel.\n", - "Leveraging this parallelism, the training time convolutional networks can be greatly reduced by training on GPUs.\n", - "Since we do not use GPUs here, the fit with the convolutional neural network takes pretty long (several minutes)." - ] - }, - { - "cell_type": "code", - "execution_count": 21, - "metadata": {}, - "outputs": [ - { - "data": { - "text/html": [ - "
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2686667JlzZcsglDS2atmj33l4TJ1auXLl///5mlwYAUUmdTwoARJ2pU6d2q1Z5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\n73fyUOwlZ7PZzO1RMBg0sTWcGDET7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T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\nAElFTkSuQmCC", - "text/plain": [ - "plot without title" - ] - }, - "metadata": { - "image/png": { - "height": 420, - "width": 420 - }, - "text/plain": { - "height": 420, - "width": 420 - } - }, - "output_type": "display_data" - } - ], - "source": [ - "conv.nn <- keras_model_sequential()\n", - "conv.nn %>%\n", - " layer_conv_2d(32, c(5, 5), activation = 'relu', input_shape = c(28, 28, 1)) %>%\n", - " layer_conv_2d(64, c(5, 5), activation = 'relu') %>%\n", - " layer_flatten() %>%\n", - " layer_dense(units = 128, activation = 'relu') %>%\n", - " layer_dense(units = 10, activation = 'softmax')\n", - "conv.nn %>% compile(\n", - " loss = 'categorical_crossentropy',\n", - " optimizer = 'adam',\n", - " metrics = c('accuracy')\n", - ")\n", - "history <- conv.nn %>% fit(\n", - " x_train, y_train,\n", - " epochs = 5, batch_size = 128,\n", - " validation_split = 0.1\n", - ")\n", - "plot(history)\n", - "\n", - "conv.nn %>% evaluate(x_test, y_test)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "We see that the convolutional network greatly increases again the test accuracy to around 99\\%." - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "R", - "language": "R", - "name": "ir" - }, - "language_info": { - "codemirror_mode": "r", - "file_extension": ".r", - "mimetype": "text/x-r-source", - "name": "R", - "pygments_lexer": "r", - "version": "3.6.1" - } - }, - "nbformat": 4, - "nbformat_minor": 2 -} diff --git a/src/ensembles.ipynb b/src/ensembles.ipynb deleted file mode 100644 index a815e79..0000000 --- a/src/ensembles.ipynb +++ /dev/null @@ -1,295 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# Bagging, Random Forests and Boosting" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "New R commands:\n", - "- `randomForest(formula, data = , subset = , mtry, importance = T)` random forests with mtry = number of features to be considered for splits.\n", - "- `xgboost(x, label = y, nround = B, eta = λ, max_depth = d)` boosting\n", - " " - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Bagging and Random Forests" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Here we apply bagging and random forests to the Boston data, using the\n", - "randomForest package in R. Recall that bagging is simply a special case of a random forest with m = p.\n", - "Therefore, the randomForest() function can\n", - "be used to perform both random forests and bagging. We perform bagging\n", - "as follows:" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "library(randomForest)\n", - "library(MASS)\n", - "set.seed(1)\n", - "train = sample(1:nrow(Boston), nrow(Boston)/2)\n", - "boston.test=Boston[-train,\"medv\"]" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "bag.boston=randomForest(medv~.,data=Boston,subset=train,mtry=13,importance=TRUE)\n", - "bag.boston" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "The argument mtry=13 indicates that all 13 predictors should be considered\n", - "for each split of the tree—in other words, that bagging should be done. How\n", - "well does this bagged model perform on the test set?" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "yhat.bag = predict(bag.boston,newdata=Boston[-train,])\n", - "plot(yhat.bag, boston.test)\n", - "abline(0,1)\n", - "mean((yhat.bag-boston.test)^2)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "The test set MSE associated with the bagged regression tree is considerably lower than that obtained using an optimally-pruned single tree. We could change\n", - "the number of trees grown by randomForest() using the ntree argument:" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "bag.boston=randomForest(medv~.,data=Boston,subset=train,mtry=13,ntree=25)\n", - "yhat.bag = predict(bag.boston,newdata=Boston[-train,])\n", - "mean((yhat.bag-boston.test)^2)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Growing a random forest proceeds in exactly the same way, except that\n", - "we use a smaller value of the mtry argument. By default, randomForest()\n", - "uses p/3 variables when building a random forest of regression trees, and\n", - "√p variables when building a random forest of classification trees. Here we\n", - "use mtry = 6 ." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "set.seed(1)\n", - "rf.boston=randomForest(medv~.,data=Boston,subset=train,mtry=6,importance=TRUE)\n", - "yhat.rf = predict(rf.boston,newdata=Boston[-train,])\n", - "mean((yhat.rf-boston.test)^2)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "A further improvement over bagging.\n", - "\n", - "Using the importance() function, we can view the importance of each\n", - "variable." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "importance(rf.boston)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Two measures of variable importance are reported. The former is based\n", - "upon the mean decrease of accuracy in predictions on the out of bag samples\n", - "when a given variable is excluded from the model. The latter is a measure\n", - "of the total decrease in node impurity that results from splits over that\n", - "variable, averaged over all trees. In the\n", - "case of regression trees, the node impurity is measured by the training\n", - "RSS, and for classification trees by the deviance. Plots of these importance\n", - "measures can be produced using the varImpPlot() function." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "varImpPlot(rf.boston)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "The results indicate that across all of the trees considered in the random\n", - "forest, the wealth level of the community ( lstat ) and the house size ( rm )\n", - "are by far the two most important variables." - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Boosting" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Since xgboost does not accept data frames we will first convert the data into ordinary matrices." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "boston.train.x = as.matrix(Boston[train, names(Boston) != \"medv\"])\n", - "boston.test.x = as.matrix(Boston[-train, names(Boston) != \"medv\"])\n", - "boston.train.y = Boston[train, \"medv\"]\n", - "boston.test.y = Boston[-train, \"medv\"]" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Now we train with the standard regression loss \"reg:squarederror\". For other objective functions see [https://xgboost.readthedocs.io/en/latest/parameter.html#learning-task-parameters](https://xgboost.readthedocs.io/en/latest/parameter.html#learning-task-parameters)." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "boost.boston = xgboost(boston.train.x, label = boston.train.y,\n", - " eta = 0.001, objective = \"reg:squarederror\",\n", - " max_depth = 4,\n", - " nround = 5000)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "yhat.boost = predict(boost.boston, boston.test.x)\n", - "plot(yhat.boost, boston.test.y)\n", - "abline(0, 1)\n", - "mean((yhat.boost - boston.test.y)^2)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "The result is comparable to the one with Random Forests. We could try to use a higher learning rate." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "boost.boston = xgboost(boston.train.x, label = boston.train.y,\n", - " eta = 0.02, objective = \"reg:squarederror\",\n", - " max_depth = 4,\n", - " nround = 5000)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "yhat.boost = predict(boost.boston, boston.test.x)\n", - "mean((yhat.boost - boston.test.y)^2)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Also in xgboost we can look at the importance plot." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "xgb.plot.importance(xgb.importance(model = boost.boston))" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "R", - "language": "R", - "name": "ir" - }, - "language_info": { - "codemirror_mode": "r", - "file_extension": ".r", - "mimetype": "text/x-r-source", - "name": "R", - "pygments_lexer": "r", - "version": "3.6.1" - } - }, - "nbformat": 4, - "nbformat_minor": 2 -} diff --git a/src/model_selection.ipynb b/src/model_selection.ipynb deleted file mode 100644 index 98758d6..0000000 --- a/src/model_selection.ipynb +++ /dev/null @@ -1,1605 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Working with Notebooks:\n", - "* Press `Shift + Enter` to evaluate a cell.\n", - "* Only the return value of the last line of each cell is shown in the `Out` cells. If you want to see the result of an intermediate step, insert a new cell (with the `+` symbol in the toolbar) and paste that intermediate step to that cell.\n", - "\n", - "New R commands:\n", - "* `regsubsets`: used for subset selection, `method` can be e.g. `\"exhaustive\"` (best subset), `\"forward\"`, `\"backward\"`\n", - "\n", - "Useful R commands to remember:\n", - "* `which.min` and `which.max` return the index that contains the smallest or largest element in a list.\n", - "* `sample(range, number_of_samples, replace = True/False)`\n", - "* `apply(data, i, function)` where `i = 1` if the function should be applied to all rows and `i=2` if the function should be applied to all columns." - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# The Contrived High-Dimensional Example " - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Data Set\n", - "First we create an artifical data set with n = 50 points of p = 1000 random predictors and one response that does not depend on the predictors." - ] - }, - { - "cell_type": "code", - "execution_count": 87, - "metadata": { - "ExecuteTime": { - "end_time": "2019-10-14T15:18:03.937719Z", - "start_time": "2019-10-14T15:18:03.836Z" - } - }, - "outputs": [], - "source": [ - "set.seed(932)\n", - "data = data.frame(matrix(rnorm(50*1000), 50, 1000))\n", - "data$y = rnorm(50)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Forward Selection with Adjusted Training Loss\n", - "Now we load the `leaps` package and use the `regsubsets` function to do forward selection up to at most `nvmax = 30` predictors.\n", - "We use the formula `y ~ .` to indicate that the response `y` should be regressed on all other columns of `data`." - ] - }, - { - "cell_type": "code", - "execution_count": 88, - "metadata": { - "ExecuteTime": { - "end_time": "2019-10-14T15:27:04.754554Z", - "start_time": "2019-10-14T15:27:04.295Z" - } - }, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "Warning message in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax, force.in = force.in, :\n", - "“951 linear dependencies found”\n" - ] - } - ], - "source": [ - "library(leaps)\n", - "regfit.fwd = regsubsets(y ~ .,data = data, method = \"forward\", nvmax = 30)\n", - "regfit.fwd.summary = summary(regfit.fwd)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Let us plot the adjusted R^2 and mark in red the optimal (maximal) R^2." - ] - }, - { - "cell_type": "code", - "execution_count": 89, - "metadata": { - "ExecuteTime": { - "end_time": "2019-10-14T16:21:36.439367Z", - "start_time": "2019-10-14T16:21:36.356Z" - } - }, - "outputs": [ - { - "data": { - "image/png": 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GmUECYmrKBAtmFcBwDQLTpQ7PI2dqpi+MT755+23/7g8yGS7u8aPHxVhKjQtEkB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- "text/plain": [ - "plot without title" - ] - }, - "metadata": { - "image/png": { - "height": 420, - "width": 420 - }, - "text/plain": { - "height": 420, - "width": 420 - } - }, - "output_type": "display_data" - } - ], - "source": [ - "plot(regfit.fwd.summary$adjr2, type = \"l\", xlab = \"Number of Variables\", ylab = \"adjusted R^2\")\n", - "adjr2.max = which.max(regfit.fwd.summary$adjr2)\n", - "points(adjr2.max, regfit.fwd.summary$adjr2[adjr2.max], col = \"red\", cex = 2, pch = 20)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Plot now the BIC-curve and mark the optimal BIC point in red. Write your answer in the following cell.\n", - "\n", - "Hints: \n", - "1. Use `names(regfit.fwd.summary)` to see how BIC is called in the `regfit.fwd.summary`.\n", - "2. What does optimal mean for the BIC?" - ] - }, - { - "cell_type": "code", - "execution_count": 90, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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HR0QkJCtm3btnr1amdn5wsXLoheBADA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AGkGxAwAA0Ij/A1SrcGvpuIl6AAAAAElF\nTkSuQmCC", - "text/plain": [ - "plot without title" - ] - }, - "metadata": { - "image/png": { - "height": 420, - "width": 420 - }, - "text/plain": { - "height": 420, - "width": 420 - } - }, - "output_type": "display_data" - } - ], - "source": [ - "plot(regfit.fwd.summary$bic, type = \"l\", xlab = \"Number of Variables\", ylab = \"BIC\")\n", - "bic.min = which.min(regfit.fwd.summary$bic)\n", - "points(bic.min, regfit.fwd.summary$bic[bic.min], col = \"red\", cex = 2, pch = 20)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Forward Selection with Cross-Validation (the Wrong Way)\n", - "Now we do model selection with cross-validation. But we still use the full data set for training (which is wrong!!!).\n", - "\n", - "Since there is no predict function for regsubsets, we define our own one.\n", - "You don't need to fully understand this code now. If you are motivated to dive in deeper you can have a look at the bottom of this notebook." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "ExecuteTime": { - "end_time": "2019-10-14T15:42:10.442196Z", - "start_time": "2019-10-14T15:42:10.427Z" - } - }, - "outputs": [], - "source": [ - "predict.regsubsets = function(object, newdata, id, ...) {\n", - " form = as.formula(object$call[[2]])\n", - " mat = model.matrix(form, newdata)\n", - " coefi = coef(object, id = id)\n", - " xvars = names(coefi)\n", - " mat[,xvars] %*% coefi\n", - "}" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Now we do 5-fold cross-validation. The variable `folds` will be an array of indices telling us in which of the `k` folds data-point `i` should lie. We will then loop over all folds and all models with 0 to 29 predictors (plus one variable for the intercept) and save the validation errors in the matrix `cv.errors.wrong` where we indicate in the variable name that these are the errors for the wrong cv approach.\n", - "\n", - "The next cell will take some time to run. The star in `[*]` on the left indicates that the cell is still running or in the bottom pane you can see that R is busy." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "k = 5\n", - "folds = sample(1:k, nrow(data), replace = T)\n", - "cv.errors.wrong = matrix(NA, k, 30)\n", - "for (j in 1:k) {\n", - " for (i in 1:30) {\n", - " pred = predict(regfit.fwd, data[folds==j,], id = i)\n", - " cv.errors.wrong[j,i] = mean( (data$y[folds==j] - pred)^2 )\n", - " }\n", - "}" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Now we average over all columns (folds) to get the mean cv-error for each number of predictors. The `2` in the `apply` function tells that the `mean` should be taken over each column.\n", - "\n", - "Then we plot and include in the plot as a dashed line also the standard deviation of the reponse, which should be a lower bound for our estimated test error." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "mean.cv.errors.wrong = apply(cv.errors.wrong, 2, mean)\n", - "plot(mean.cv.errors.wrong, type = \"l\", ylim = c(0, 1.3), xlab = \"Number of Variables\", ylab = \"5-fold CV wrong\")\n", - "cv.wrong.min = which.min(mean.cv.errors.wrong)\n", - "points(cv.wrong.min, mean.cv.errors.wrong[cv.wrong.min], col = \"red\", cex = 2, pch = 20)\n", - "abline(sd(data$y), 0, lty = \"dashed\")" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Forward Selection with Cross-Validation (the Right Way)\n", - "The right way is almost the same as the wrong way, except that the training sets in the forward selection are the complements of the validation sets. Compare line 3 in the following cell to the for loop in the above section." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "cv.errors = matrix(NA, k, 30)\n", - "for (j in 1:k) {\n", - " regfit.fwd = regsubsets(y ~ ., data = data[folds!=j,], method = \"forward\", nvmax = 30)\n", - " for (i in 1:30) {\n", - " pred = predict(regfit.fwd, data[folds==j,], id = i)\n", - " cv.errors[j,i] = mean( (data$y[folds==j] - pred)^2 )\n", - " }\n", - "}\n", - "mean.cv.errors = apply(cv.errors, 2, mean)\n", - "plot(mean.cv.errors, type = \"l\", ylim = c(1, 3),\n", - " xlab = \"Number of Variables\", ylab = \"5-fold CV right\")\n", - "cv.min = which.min(mean.cv.errors)\n", - "points(cv.min, mean.cv.errors[cv.min], col = \"red\", cex = 2, pch = 20)\n", - "abline(sd(data$y), 0, lty = \"dashed\")" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# Model Selection Applied to the Hitters Data\n", - "Here we will apply model section approaches to the Hitters data. We\n", - "wish to predict a baseball player’s Salary on the basis of various statistics\n", - "associated with performance in the previous year. This section follows the Lab 1 in chapter 6 from the textbook.\n", - "\n", - "First of all, we note that the Salary variable is missing for some of the\n", - "players. The `is.na()` function can be used to identify the missing observations. It returns a vector of the same length as the input vector, with a TRUE\n", - "for any elements that are missing, and a FALSE for non-missing elements.\n", - "The `sum()` function can then be used to count all of the missing elements." - ] - }, - { - "cell_type": "code", - "execution_count": 108, - "metadata": { - "ExecuteTime": { - "end_time": "2019-10-14T16:15:16.280613Z", - "start_time": "2019-10-14T16:15:16.258Z" - } - }, - "outputs": [ - { - "data": { - "text/html": [ - "
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"[193] 450.000 300.000 250.000 1050.000 215.000 400.000 560.000 1670.000\n", - "[201] 487.500 425.000 500.000 250.000 400.000 450.000 750.000 70.000\n", - "[209] 875.000 190.000 191.000 740.000 250.000 140.000 97.500 740.000\n", - "[217] 140.000 341.667 1000.000 100.000 90.000 200.000 135.000 155.000\n", - "[225] 475.000 1450.000 150.000 105.000 350.000 90.000 530.000 341.667\n", - "[233] 940.000 350.000 326.667 250.000 740.000 425.000 925.000 185.000\n", - "[241] 920.000 286.667 245.000 235.000 1150.000 160.000 425.000 900.000\n", - "[249] 500.000 277.500 750.000 160.000 1300.000 525.000 550.000 1600.000\n", - "[257] 120.000 165.000 700.000 875.000 385.000 960.000 1000.000" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "Hitters$Salary" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Hence we see that Salary is missing for 59 players. The `na.omit()` function\n", - "removes all of the rows that have missing values in any variable." - ] - }, - { - "cell_type": "code", - "execution_count": 111, - "metadata": { - "ExecuteTime": { - "end_time": "2019-10-14T16:15:19.053026Z", - "start_time": "2019-10-14T16:15:19.035Z" - } - }, - "outputs": [], - "source": [ - "Hitters = na.omit(Hitters)" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "ExecuteTime": { - "end_time": "2019-10-14T16:15:38.210475Z", - "start_time": "2019-10-14T16:15:38.187Z" - } - }, - "source": [ - "Write in the following the code to perform best subset selection with up to 19 predictors and plot the adjusted R^2 against the number of predictors.\n", - "\n", - "Hint: What argument do you need to set in `regsubsets()` to do best subset selection?" - ] - }, - { - "cell_type": "code", - "execution_count": 112, - "metadata": {}, - "outputs": [], - "source": [ - "regfit.best = regsubsets(Salary ~ ., data = Hitters, method = \"exhaustive\", nvmax = 19)\n", - "regfit.best.summary = summary(regfit.best)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Determine the optimal number of predictors according to the adjusted R^2 criterion and the BIC criterion." - ] - }, - { - "cell_type": "code", - "execution_count": 113, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "[1] 6\n", - "[1] 11\n" - ] - } - ], - "source": [ - "bic.min = which.min(regfit.best.summary$bic)\n", - "print(bic.min)\n", - "adjr2.max = which.max(regfit.best.summary$adjr2)\n", - "print(adjr2.max)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Write in the following the code to perform best subset selection with 10-fold cross-validation (the right way).\n", - "\n", - "Once you have written the code, you can run the same cell multiple times to get the results for different random seeds." - ] - }, - { - "cell_type": "code", - "execution_count": 141, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "[1] 10\n" - ] - }, - { - "data": { - "image/png": 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YqdgnDHDgAAlIab3AGKyZR97VzSqfMp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- "text/plain": [ - "plot without title" - ] - }, - "metadata": { - "image/png": { - "height": 420, - "width": 420 - }, - "text/plain": { - "height": 420, - "width": 420 - } - }, - "output_type": "display_data" - } - ], - "source": [ - "k = 10\n", - "folds = sample(1:k, nrow(Hitters), replace = T)\n", - "cv.errors = matrix(NA, k, 19)\n", - "for (j in 1:k) {\n", - " regfit.best = regsubsets(Salary ~ ., data = Hitters[folds!=j,], method = \"exhaustive\", nvmax = 19)\n", - " for (i in 1:19) {\n", - " pred = predict(regfit.best, Hitters[folds==j,], id = i)\n", - " cv.errors[j,i] = mean( (Hitters$Salary[folds==j] - pred)^2 )\n", - " }\n", - "}\n", - "mean.cv.errors = apply(cv.errors, 2, mean)\n", - "plot(mean.cv.errors, type = \"l\",\n", - " xlab = \"Number of Variables\", ylab = \"10-fold CV right\")\n", - "cv.min = which.min(mean.cv.errors)\n", - "print(cv.min)\n", - "points(cv.min, mean.cv.errors[cv.min], col = \"red\", cex = 2, pch = 20)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Once you are convinced about the right number of variables, you can perform best subset selection on the full data set to obtain the best fit for the parameters of that model. To do so, assign your choice of the number of parameters to `i_best` and run the cell." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "i_best = \n", - "reg.best = regsubsets(Salary ~ ., data = Hitters, nvmax = 19)\n", - "coef(reg.best, i_best)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Now you are ready to do the following quiz. If you see `You do not have access to this content. Try logging in.` you have to log into your moodle account in a separate browser window and then return to this page." - ] - }, - { - "cell_type": "code", - "execution_count": 86, - "metadata": { - "ExecuteTime": { - "end_time": "2019-10-14T19:27:31.332705Z", - "start_time": "2019-10-14T19:27:31.315Z" - }, - "hide_input": false, - "scrolled": false - }, - "outputs": [ - { - "data": { - "text/html": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "IRdisplay::display_html('')" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "hide_input": true - }, - "source": [ - "## Validation Set Approach (optional)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "We will now perform best subset selection with the validation set approach. For this, we split the data first into training and validation set.\n", - "Then, we apply `regsubsets()` to the training set in order to perform best\n", - "subset selection." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "ExecuteTime": { - "end_time": "2019-10-14T16:34:42.188507Z", - "start_time": "2019-10-14T16:34:42.162Z" - } - }, - "outputs": [], - "source": [ - "set.seed(1)\n", - "train = sample(c(TRUE,FALSE), nrow(Hitters), rep = TRUE)\n", - "test = (!train)\n", - "regfit.best = regsubsets(Salary ~ ., data = Hitters[train,], nvmax = 19)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "ExecuteTime": { - "end_time": "2019-10-14T16:34:47.159461Z", - "start_time": "2019-10-14T16:34:47.142Z" - } - }, - "outputs": [], - "source": [ - "test.mat = model.matrix(Salary ~ ., data = Hitters[test,])" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "The model.matrix() function is used in many regression packages for building an “X” matrix from data. Now we run a loop, and for each size i, we extract the coefficients from `regfit.best` for the best model of that size,\n", - "multiply them into the appropriate columns of the test model matrix to\n", - "form the predictions, and compute the test MSE. The symbol `%*%` stands for matrix multiplication." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "ExecuteTime": { - "end_time": "2019-10-14T16:39:19.843578Z", - "start_time": "2019-10-14T16:39:19.790Z" - } - }, - "outputs": [], - "source": [ - "val.errors = rep(NA ,19)\n", - "for ( i in 1:19) {\n", - " coefi = coef(regfit.best, id = i)\n", - " pred = test.mat[, names(coefi)] %*% coefi\n", - " val.errors[i] = mean((Hitters$Salary[test] - pred)^2)\n", - "}\n", - "val.errors" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "ExecuteTime": { - "end_time": "2019-10-14T16:39:34.117682Z", - "start_time": "2019-10-14T16:39:34.098Z" - } - }, - "outputs": [], - "source": [ - "which.min(val.errors)" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "hide_input": false - }, - "source": [ - "This was a little tedious, partly because there is no `predict()` method\n", - "for `regsubsets()`. This is why we wrote the function `predict.regsubsets` above. Our function pretty much mimics what we did above. The only complex part is how we extracted the formula used in the call to `regsubsets()`." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [] - } - ], - "metadata": { - "kernelspec": { - "display_name": "R", - "language": "R", - "name": "ir" - }, - "language_info": { - "codemirror_mode": "r", - "file_extension": ".r", - "mimetype": "text/x-r-source", - "name": "R", - "pygments_lexer": "r", - "version": "3.6.1" - } - }, - "nbformat": 4, - "nbformat_minor": 2 -} diff --git a/src/polynomials_and_splines.ipynb b/src/polynomials_and_splines.ipynb deleted file mode 100644 index 769a34b..0000000 --- a/src/polynomials_and_splines.ipynb +++ /dev/null @@ -1,992 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# Polynomials and Splines" - ] - }, - { - "cell_type": "code", - "execution_count": 191, - "metadata": { - "hide_input": true - }, - "outputs": [ - { - "data": { - "text/html": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "IRdisplay::display_html('')" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "New R commands:\n", - "* `poly(predictor, order, raw = FALSE)`\n", - "* `I()`\n", - "* `cbind()`\n", - "* `cut(predictor, number_of_cuts)`\n", - "* `bs(predictor, degree = 3, knots = , df = )`\n", - "* `ns(predictor, degree = 3, knots = , df = )`\n", - "* `smooth.spline(predictor, response)`\n", - "\n", - "Useful R commands to remember:\n", - "* `range(column)` gives lower and upper bounds for the data in `column`.\n", - " \n", - "\n", - "This section is inspired by the Lab in chapter 7 from the textbook.\n" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Regression" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "library(ISLR)\n", - "attach(Wage)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "We will look at the Wage data, which contains the following columns." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "names(Wage)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Let us have a look at the first five rows of columns age (the second column) and wage (the 11th column).\n", - "We see that the first individual has age 18 and a wage of 75'000 US Dollar per year." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "Wage[1:5,c(2, 11)]" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "To use multiple powers of `age` as predictors, we can use the `poly` function. With the argument `raw = T` (short form of `raw = TRUE`), we see that it effectively computes higher powers of `age`." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "poly(Wage$age[1:5], 4, raw = T)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "By default, `raw = F`, in which case the `poly` function returns an orthogonal basis formed by linear combination of all powers of `age`." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "poly(Wage$age[1:5], 4)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "We will now see that the estimate of the coefficients depends on whether we choose the orthogonal or the raw basis, but the predictions do not depend on this choice." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "fit1 = lm(wage ~ poly(age, 4), data = Wage)\n", - "coef(summary(fit1))" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "fit2 = lm(wage ~ poly(age, 4, raw = TRUE), data = Wage)\n", - "coef(summary(fit2))" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Remember that the `predict` function without any further arguments computes the prediction of the model on the training set.\n", - "We see here that the prediction for the first individual is approximately 52'000 USD. Remember that the first individiual is 18 years old and has an actual wage of 75'000 USD. There are probably other individuals of 18 years of age in the training set with a much lower income." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "predict(fit1)[1:5]" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "predict(fit2)[1:5]" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "As an alternative to the `poly` function we could have explicitly defined our predictors using the wrappers `I` (the \"as-is\" operator) or `cbind`. These wrappers are needed because `^` has a special meaning in formulas.\n", - "The `cbind` function builds a matrix from a collection of vectors.\n", - "\n", - "Both variants create a predictors of the same form as `poly(age, 4, raw = T)`." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "fit3 = lm(wage ~ I(age) + I(age^2) + I(age^3) + I(age^4), data = Wage)\n", - "predict(fit3)[1:5]" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "fit4 = lm(wage ~ cbind(age, age^2, age^3, age^4), data = Wage)\n", - "predict(fit4)[1:5]" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "We now create a grid of values for `age` at which predictions. We first extract the lower and upper bound of the values in the `age` column." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "agelims = range(age)\n", - "agelims" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Then create a grid of 50 points between these bounds." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "age.grid = seq(from = agelims[1], to = agelims[2], length = 50)\n", - "age.grid" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "And then call the generic `predict()` function, specifying that we want standard errors as well." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "predictions = predict(fit1, newdata = list(age = age.grid), se = T)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "The prediction of the standard errors is stored in the column `se.fit`." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "names(predictions)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "We create now a matrix that contains the predictions plus/minus two times the standard deviation, which corresponds to an approximate 95% confidence interval for normally distributed errors." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "se.bands = cbind(predictions$fit - 2 * predictions$se.fit, predictions$fit + 2 * predictions$se.fit)\n", - "se.bands[1:5,]" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "We will plot now the data together with the predictions. Use `?par` or `?plot` to get help on arguments that you don't understand." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "plot(age, wage, xlim = agelims, cex = .5, col = \"darkgrey\")\n", - "title(\"Degree-4 Polynomial\")\n", - "lines(age.grid, predictions$fit, lwd = 2, col = \"blue\")\n", - "matlines(age.grid, se.bands, lwd = 1, col = \"blue\", lty = 3)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "In order to fit a step function we use the `cut()` function. We use the function `table()` to display what `cut()` does." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "# NOTE: cut can run into issues:\n", - "k = sample(1:10, length(wage), replace = T)\n", - "fit = lm(wage ~ cut(age, 4, include.lowest = T), data = Wage[k != 2,])\n", - "predict(fit, Wage[k == 2,])" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "table(cut(age, 4))" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Here, `cut()` automatically picked the cutpoints at 33.5, 49 and 64.5 years of age.\n", - "The lower row displays the number of data points that fall into each region.\n", - "\n", - "The function `cut()` returns an ordered categorical variable; the `lm()` function then creates a set of dummy variables for use in the regression. The `age < 33.5` category is left out, so the intercept coefficient of 94'160 USD can be interpreted as the average salary for those under 33.5 years of age, and the other coefficients can be interpreted as the average additional salary for those in the other age groups." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "fit.steps = lm(wage ~ cut(age, 4), data = Wage)\n", - "coef(summary(fit.steps))" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Classification" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Next we consider the task of predicting whether an individual earns more than 250'000 USD per year." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "fit = glm(I(wage > 250) ~ poly(age, 4), data = Wage, family = binomial)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Note that we again use the wrapper `I()` to create this binary response variable on the fly. The expression `wage>250` evaluates to a logical variable containing `TRUE`s and `FALSE`s, which `glm()` coerces to binary by setting the `TRUE`s to 1 and the `FALSE`s to 0.\n", - "\n", - "Once again, we make predictions using the `predict()` function." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "preds = predict(fit, newdata = list(age = age.grid), se = T)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "However, calculating the confidence intervals is slightly more involved than in the linear regression case.\n", - "The default prediction type for a `glm()` model is `type = \"link\"`, which is what we use here. This means we get predictions for the logit." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "se.bands.logit = cbind(preds$fit - 2*preds$se.fit, preds$fit + 2*preds$se.fit)\n", - "se.bands.logit[1:5,]" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "To transform them to probabilities we use the formula $p(Y=1|X) = \\frac{\\exp(\\beta X)}{1 + \\exp(\\beta X)}$, where $\\beta X = \\beta_0 + \\beta_1 X + \\beta_2 X^2 + \\beta_3X^3 + \\beta_4X^4$." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "se.bands = exp(se.bands.logit)/(1 + exp(se.bands.logit))\n", - "cbind(age.grid[1:5], se.bands[1:5,])" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "We see that the predicted confidence interval for the probabilities to earn more than 250'000USD per year is rather narrow and at low probabilities for ages up to 23 years.\n", - "\n", - "Now we will plot again. The `jitter` function is used to jitter the `age` values a bit so that observations with the same `age` value do not cover each other up. This is often called a rug plot." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "plot(age, I(wage>250), xlim = agelims, type = \"n\", col = \"darkgrey\", ylim = c(0, .2))\n", - "points(jitter(age), I((wage>250)*.2), cex = .5, pch = \"|\", col = \"darkgrey\") # since we plot only up to 0.2 we plot the TRUEs at 0.2\n", - "title(\"Degree-4 Polynomial\")\n", - "lines(age.grid, exp(preds$fit)/(1 + exp(preds$fit)), lwd = 2, col = \"blue\")\n", - "matlines(age.grid, se.bands, lwd = 1, col = \"blue\", lty = 3)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Splines" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "We use the `splines` library.\n", - "\n", - "In the lecture we saw that regression splines can be fit by constructing an appropriate matrix of basis functions. The `bs()` function generates the entire matrix of basis functions for splines with the specified set of knots. By default, cubic splines are produced." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "library(splines)\n", - "spline.fit = lm(wage ~ bs(age, knots = c(25, 40, 60)), data = Wage)\n", - "spline.pred = predict(spline.fit, newdata = list(age = age.grid), se = T)\n", - "plot(age, wage, col = \"gray\")\n", - "lines(age.grid, spline.pred$fit, lwd = 2)\n", - "lines(age.grid, spline.pred$fit - 2*spline.pred$se.fit, lty = \"dashed\")\n", - "lines(age.grid, spline.pred$fit + 2*spline.pred$se.fit, lty = \"dashed\")" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Above we have prespecified knots at ages 25, 40 and 60. This produces a spline with six basis functions.\n", - "Recall that a cubic spline with three knots has seven degrees of freedom; these degrees of freedom are used up by an intercept, plus six basis functions. " - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "dim(bs(age, knots = c(25, 40, 60)))" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "We could also use the `df` option to produce a spline with knots at uniform quantiles of the data." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "dim(bs(age, df = 6))" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "In this case `R` chooses knots at ages 33.8, 42 and 51, which corresponds to the 25th, 50th and 75th percentiles of age." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "attr(bs(age, df = 6), \"knots\")" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "The function `bs()` also has a `degree` argument, so we can fit splines of any degree, rather than the default degree of 3 (which yields a cubic spline)." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "dim(bs(age, knots = c(25, 40, 60), degree = 5))" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "In order to instead fit a natural spline, we use the `ns()` function." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "ns.fit = lm(wage ~ ns(age, knots = c(25, 40, 60), Boundary.knots = c(0, 100)), data = Wage)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "To compare the different methods in how they interpolate and extrapolate we use now a larger range and plot the predictions of the different methods." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "age.grid = seq(0, 100, length = 100)\n", - "ns.pred = predict(ns.fit, newdata = list(age = age.grid), se = T)\n", - "bs.pred = predict(lm(wage ~ bs(age, knots = c(25, 40, 60), Boundary.knots = c(0, 100)), data = Wage), newdata = list(age = age.grid), se = T)\n", - "p4.pred = predict(lm(wage ~ poly(age, 4), data = Wage), newdata = list(age = age.grid), se = T)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "To make the plotting a bit more convenient we use the following function" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "plot.predictions = function(ages, pred, col = \"blue\") {\n", - " se.bands = cbind(pred$fit - 2 * pred$se.fit, pred$fit + 2 * pred$se.fit)\n", - " lines(ages, pred$fit, lwd = 2, col = col)\n", - " matlines(ages, se.bands, lty = \"dashed\", col = col)\n", - "}\n", - "plot(age, wage, cex = .5, col = \"darkgrey\", xlim = c(0, 100), ylim = c(-20, 300))\n", - "plot.predictions(age.grid, ns.pred, col = \"red\")\n", - "plot.predictions(age.grid, bs.pred, col = \"darkgreen\")\n", - "plot.predictions(age.grid, p4.pred, col = \"blue\")\n", - "legend(x = 25, y = 20, legend = c(\"natural cubic spline\", \"cubic spline\", \"4th order polynomial\"),\n", - " col = c(\"red\", \"darkgreen\", \"blue\"), lty = 1)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Smoothing Splines" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "In order to fit a smoothing spline, we use the `smooth.spline()` function." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "fit.smooth.cv = smooth.spline(age, wage)\n", - "fit.smooth.cv" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "We see the selected Degrees of Freedom using cross-validation.\n", - "If instead we wish to set the defgrees of freedom manually, we can use" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "fit.smooth = smooth.spline(age, wage, df = 16)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Now, let us plot the two smoothing splines." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "plot(age, wage, cex = .5, col = \"darkgrey\", xlim = agelims)\n", - "lines(fit.smooth, col = \"red\", lwd = 2)\n", - "lines(fit.smooth.cv, col = \"blue\", lwd = 2)\n", - "legend(\"topright\", legend = c(\"16 Df\", \"6.5 DF\"), col = c(\"red\", \"blue\"), lty - 1, lwd = 2, cex = .8)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## GAMs" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "We now fit a GAM to predict `wage` using natural spline functions of `year` and `age`, treating `education` as a qualitative predictor. Since this is just a big linear regressions model using an appropriate choice of basis functions, we can simply do this using the `lm()` function." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "gam1 = lm(wage ~ ns(year, 4) + ns(age, 5) + education, data = Wage)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "We can now plot predictions of `wage` given `age` while fixing the other variables to e.g. `year = 2005` and `education = \"1. < HS Grad\"`." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "pred.1 = predict(gam1, newdata = data.frame(age = age.grid,\n", - " year = rep(2005, length(age.grid)),\n", - " education = rep(\"1. < HS Grad\", length(age.grid))))\n", - "pred.2 = predict(gam1, newdata = data.frame(age = age.grid,\n", - " year = rep(2005, length(age.grid)),\n", - " education = rep(\"4. College Grad\", length(age.grid))))\n", - "pred.3 = predict(gam1, newdata = data.frame(age = age.grid,\n", - " year = rep(2009, length(age.grid)),\n", - " education = rep(\"1. < HS Grad\", length(age.grid))))" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "For plotting we select now all data in the years 2004 to 2006 for individuals with less than a High School degree and plot it together with our prediction." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "subset = year >= 2004 & year <= 2006 & education == \"1. < HS Grad\"\n", - "plot(age[subset], wage[subset])\n", - "lines(age.grid, pred.1, type = \"l\", col = \"red\")\n", - "lines(age.grid, pred.2, type = \"l\", col = \"blue\")\n", - "lines(age.grid, pred.3, type = \"l\", col = \"darkgreen\")" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Note that the prediction for individual with a College Graduation or the prediction for the year 2009 is merely a shifted version of the original prediction. This is a consequence of the additivity of the model. The shape of the function `wage = f(age)` is independent of the other predictors; only the absolute level is influenced by the intercept and the other predictors." - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "For smoothing splines we use the `gam` library. The `s()` function is used to indicate that we would like to use a smoothing spline.\n", - " \n", - "The `gam` library also has a built-in plotting function that allows us to see the dependence of the `wage` independently of the other variables. Note that we would have to add the intercept and the choices for the other predictors to get the effective prediction of wage." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "library(gam)\n", - "gam.m3 = gam(wage ~ s(year, 4) + s(age, 5) + education, data = Wage)\n", - "plot(gam.m3, se = T, col = \"red\")" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Bias-Variance Decomposition (optional)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "In the first lecture we saw the decomposition of the test error into bias and variance as a function of the flexibility of the method. With smoothing splines one can nicely generate such plots.\n", - "\n", - "The following code is at parts more involved than what you are used to. Try nevertheless to understand what is happing. You are not yet expected to write such code without guidance.\n", - "\n", - "The idea is to generate artificial data, where we know exactly what the true model is. The true model is given by the non-linear function `noisefree.generator`. The function `data.generator` creates each time a new data set by sampling some `x` values, applying the `noisefree.generator` function and adding normal noise with standard deviation 1 to get `y`." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "noisefree.generator = function(x) (-.1*(x-1)^4*(x < 1) - 2*x^3*sin(5*x) + x^2 - 4*x*(x > 0))\n", - "data.generator = function(n) {\n", - " x = 3*runif(n) - 1.5\n", - " y = noisefree.generator(x) + rnorm(length(x))\n", - " data.frame(x = x, y = y)\n", - "}" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Let us plot some data points and some smooth spline fits together with the true function in red." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "data = data.generator(200)\n", - "fit.1 = smooth.spline(data$x, data$y, df = 2)\n", - "fit.2 = smooth.spline(data$x, data$y, df = 20)\n", - "fit.3 = smooth.spline(data$x, data$y, df = 100)\n", - "plot(data, col = \"darkgray\")\n", - "lines(fit.1, col = \"purple\")\n", - "lines(fit.2, col = \"darkgreen\")\n", - "lines(fit.3, col = \"blue\")\n", - "plot(noisefree.generator, add = T, xlim = c(-1.5, 1.5), col = \"red\")" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Now we create to functions that compute test and training errors for a given fit. The test error will be evaluated over 10000 new data points." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "test.error = function(fit) {\n", - " test.data = data.generator(10000)\n", - " pred = predict(fit, test.data$x)\n", - " mean((pred$y - test.data$y)^2)\n", - "}\n", - "train.error = function(fit, x, y) {\n", - " mean((predict(fit, x)$y - y)^2)\n", - "}" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "list(test.error(fit.1), test.error(fit.2), test.error(fit.3))" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "list(train.error(fit.1, data$x, data$y), train.error(fit.2, data$x, data$y), train.error(fit.3, data$x, data$y))" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "The following function `bias.variance` takes as input the number `k` of repetitions and the degree of freedom `df`. It then fits `k` times a smoothing spline of degree `df` on `k` different training sets from the same population.\n", - "\n", - "The squared bias of the model is then the mean squared difference between the average of the `k` smoothing splines and the true function.\n", - "\n", - "The variance is simply the variance of the `k` smoothing splines.\n", - "\n", - "Additionally we return the average test and training error." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "bias.variance = function(k, df = df) {\n", - " predictions = matrix(rep(NA, k*1000), k, 1000)\n", - " train.errors = rep(NA, k)\n", - " test.errors = rep(NA, k)\n", - " test.x = seq(-1.5, 1.5, length = 1000)\n", - " for (i in 1:k) {\n", - " data = data.generator(200) # each time another training set\n", - " fit = smooth.spline(data$x, data$y, df = df)\n", - " train.errors[i] = train.error(fit, data$x, data$y)\n", - " test.errors[i] = test.error(fit)\n", - " predictions[i,] = predict(fit, test.x)$y # function values for this fit\n", - " }\n", - " mean.pred = apply(predictions, 2, mean)\n", - " bias.squared = mean((mean.pred - noisefree.generator(test.x))^2)\n", - " var = mean(sweep(predictions, 2, mean.pred)^2)\n", - " data.frame(bias.squared = bias.squared,\n", - " variance = var, \n", - " test.error = mean(test.errors), \n", - " train.error = mean(train.errors))\n", - "}" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Now we run this function for many different degrees of freedom and plot the result. Evaluating this cell takes some minutes. You can also just look at the output from a previous run. We marked the irreducible error with a dashed line." - ] - }, - { - "cell_type": "code", - "execution_count": 185, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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z/7V7RcpUo6OXbt2nURz1QOZTcIO9WYPXzC6KJIhEhEhBQooOKoAAA2x8HhmTUu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OblKHJbJ3LHa2TBCE7OxsqVMQkZyYWk2WAnek+qMYOXoAACAASURBVEhedV5udW5j\nR6Ozk3OsKjYlJGVe0ry7z787KTgpQZ3gonCROiwRnYzFzpYJgvDRRx9JnYKIrJd50Jxbnbu7\neHeWISuvJi+3OrehvUHhqLDUuPMSzrtr3l3Jwcnx6njWOCJZYLGzZYIgPP300/39/QoF/0MT\nkaizt3Nf6b6dxTt3F+/efWx3S1dLREBERkTG7LjZd5x3R1JwUqImkTWOSKb4+96WCYLQ1dV1\n9OjRpKQkqbMQkZSMLcb9Zft3Fe/aWbzzQNmBfnN/giZhZuzMNzLfmBU3KyowSuqARDQ6WOxs\nWUhIiEql0uv1LHZE9qa5szmnKie7Mntv6d5dxbtK6kqU7spp0dMuTL7w6UVPZ0Zlerl6SZ2R\niEYfi52NsywstmTJEqmDENEY6hvoKzQWWppcTlVOTmVORWOFo4NjdFD0lKgp911w36y4WSkh\nKVxxlcjmsdjZOJ1Ox4XFiGxMT3+PscWYX5Mv1riqnPya/N7+3gCvAF2YLi007fL0y3VhupSQ\nFE9XT6nDEtG4YrGzcYIgbNq0SeoURDQCnb2dplaTscVY115nbDGaWk21bbXiM211xlZjc2cz\nABeFS0pISmpo6vVTrhfChNTQ1BDfEKmzE5HEWOxsnCAI1dXVtbW1KpVK6ixEdGrVzdX7Svft\nL9u/t3TvwfKDlt4GQOmuDPYJDvIKUilVwT7BKSEpaqVao9SolCq1Uh0REKFw5N/hRHQC/qVg\n45KTk11cXHJycs4//3ypsxCRqK277WD5wb2le/eV7ttXuq+yqdLT1TMjIiMzKnPl7JXaAG2I\nT0iQdxAXciCikWKxs3EuLi4JCQl6vZ7FjkhC9e31ZfVlB8oPWJpcfk2+o4NjSmhKZmTmkwuf\nzIzK5MgGIhoVLHa2TxAEjp8gGgedvZ3lDeWGRoOhyWBoNFQ0VhgaDZVNleUN5V19XQAiAyIz\nozJvnnFzZlTmRO1EjmwgolHHYmf7BEHYuHGj1CmIbIqxxVhoKiwyFRUaC4tMRZYO19jRCMBF\n4RLqGxruHx4REDE5avKVE6+07If7hft6+EodnIhsHIud7RME4dFHH+3t7XVx4RpBRCPW1ddl\naW9FpqKCmgLLTktXi5OjU0RARLw6PkGdMC9xXphfWLh/uNZfq1FqHBwcpE5NRHaKxc72paen\n9/b2FhQU6HQ6qbMQWbvq5uoCY0GhsTCvJu/42bjBwcEAr4B4dXyiJvHKiVfGq+MTNAmxqlhX\nhavUeYmITsBiZ/uCgoI0Gk12djaLHdEv9Q30ldSVWApcgbEgvya/0FjY0tWicFREB0UnBSdN\n1E5cMnlJYnBivDo+0CtQ6rxERGfGYmcXLOMnli5dKnUQIsk0djQWmYosZ+OKTEV51XnH6o71\nDfR5u3knaBISNYmL0hclaBKSNEmxqlgXBe9bICJZYrGzC4IgHDhwQOoUROOkb6CvtL70eIcr\nqCkoNBXWtdUBCPcPT1AnxKvj5ybMTQxOTFAnhPuHS52XiGjUsNjZhcsuu2z16tWHDh2aOHGi\n1FmIRll9e73lWqqlxuXX5JfWl/YN9Hm5esWr4+PV8fOT5985707LKAfOMEJEto3Fzi7MmDHj\nsssuu++++77//nupsxCdPctdcZYOV2gqtJyKa2hvcHBwiPCPiNfEJ2oSL0y50HJOjqfiiMgO\nsdjZi9WrVycnJ2/ZsmXRokVSZyE6g76Bvurmass0v1VNVYYmQ1l9WaGpsKSuxHIqLkGTEK+O\nvyj1onvn32sZo+ru7C51aiIi6bHY2YuYmJjbb7/9/vvvv/jiizmhHVmJmpaakroSQ5OhqqnK\nsmCDpcYZW4zmQTMAtVId5hcW6hsaFRi1IHVBgjohQZMQ5hcmdXAiIivFYmdHnnzyyY0bN65d\nu/buu++WOgvZlwHzgKHJcKz2WHFt8bE68fFY3bGOng4AKm9VmF9YmF+YNkA7OXJymF+Y1l8b\n6hca5hfGieKIiEaExc6O+Pn5PfLII08++eT111/v7+8vdRyyTW3dbWUNZWX1ZaX1pcc7XGl9\naW9/r7OTc2RAZIwqJlYVOzt+dqwqNlYVGxkQ6ebsJnVqIiIbwWJnX+6666633377ueeee+ml\nl6TOQvJ2vMAdfyxvKC9rKGtobwDg4eIRHRQdExSTFJx0qe7SWFVsTFCMNkCrcOTfOUREY4h/\nydoXFxeXZ5999vrrr1+5cmVsbKzUcUgeTK2mo7VHj5qOFtcWH609WlJX8ssCFxkYGRkQGRkQ\nOTV6amRAZERARGRgpMpbJXVqIiJ7xGJnd66++urXX3/90Ucf3bRpk9RZyOrUttUW1xYXmYqK\na4uLa4uPmo4W1xW3drU6ODiE+4XHqeNiVbGTIyezwBERWScWO3v08ssvT5s2befOnTNnzpQ6\nC42rAfNAXVtdbVttTUuNqdVU21pb01JT21ZrbDEaW42GRkNLV4uDg0OYX1icKi5WFbskc0mc\nKi5OHRcTFMM74YiIrB+LnT3KzMy85pprfv/73//0008ODg5Sx6HR1NXXVdNcU91S/ctHU6up\nprmmtq22rq3OMo2Iq8I1yDso2CdYrVSrlKqp0VODvIPC/cNjVbFxqjh2OCIimWKxs1PPPfdc\nUlLS5s2br7nmGqmz0MiYB83GFmNFY0VlU2VVc1V1c3VNS83xx+bOZsthQd5BGqUm1C9Uo9RM\nipikTlOrlKpgn2CVt0qtVPt7clg0EZENYrGzU5GRkffcc89DDz20aNEiV1dOFWaNGtobLEsv\nVDRWGBoNlU2V5Q3lljLXN9AHIMArIMQnJMwvTK1UT4ueZpnL9/iji4LTUBMR2R0WO/v12GOP\nvf/++2+88caqVaukzmK/+gb6qpqrKhoqyhvKyxvLKxoqxMeG8q6+LgCerp5af224f3iYX9j8\n5Plaf61lLt+IgAgPFw+p4xMRkXVhsbNf3t7ejz/++GOPPXbzzTcHBgZKHceWDQ4OmlpNxlaj\nZb2sisaK402uurl6wDzg6OCo8dFEBkRq/bUTwicsSl+k9ddaOhyvmRIR0fCx2Nm1lStXvvXW\nW0899dSaNWukziJvA+YBy1DT4/e6GVuMx/dNraZ+cz8Ad2f3cP9wrb9WG6Cdnzzf0uQiAiLC\n/MJ45ZSIiM4di51dUygUzz///BVXXHH77bcnJydLHcfaNXc2VzVXVTVV1bTUVDZVWuYHseyb\nWk0D5gEAHi4eob6hGh9NiG9IVGDUzLiZGqUmxDck2Cc4xDfE18NX6g9BRES2jMXO3l166aVz\n5859+OGHt2zZInUWq9DT31PeUF5WX1beWF5WX1beUG5oMtQ011Q2VVpuenNRuKiV6nC/8GCf\n4IiAiGkx0ywjGDQ+mlDfUKW7UupPQERE9ovFjvDSSy9NnDhx27Zt8+fPlzrL+Onp76lorBha\n5LS+rKyhrLS+tKalZnBw0NnJWeuvjQyMjAiImJswN8Q3JMQ3JMwvTKPUaHw0UmcnIiI6NRY7\ngiAIy5YtW7Vq1cGDBx0dHaWOc/b6BvqMLcbKpsrmruaWrpbmzuaWrpamjqbmruaWzpbmrmbL\nM5bHzt5OAM5OzuH+4ZEBkZGBkRcmXxgVGGVZ+TTEN8TJ0UnqD0RERDQyLHbj7bVtr/1z7z/T\nw9N1YTohXNCF6XzcfaQOhT/9f3t3HldVnf9x/HM3lstluXBBlEWBAJcQTXIPQysbNa1fOem0\nWFk/NX+NNTmm5pTOz0ors5lpcWnKqawZ15kpf5Zlao7mkrnlgimYIKjsF5Cd+/vjKoIgVCwH\nvryef/C493vOPXz4fuHcN+fc8z0vvBAVFfXhhx8++OCDWtfSgIKSgpTslLTctLO5Z1NzUtNy\n01KyU9Ly0s7mnD1nP+dwOETEzeTmY/bxdvf2cffxNnv7uPv4mH1C/UKrnnq7e/uYfUJ8Q4J8\ngghwAABlEOxa2oiYERdLLx5MOfjGljdOXjhZUVkRZgvrGdzTmfNig2PD/cP1upY+bNapU6en\nn3569uzZd999t4eHRwt/99qyCrLO5p5NyU45m3vWOc1bWl5aak5qak6qvcguIka9MdA7MNQ3\ntKN3R+c1Cp18OjmfBluDuSMWAKB90jmPcKAeS5cunTx5cn5+vsViadotXyy9eCTtyIGUA4dS\nDx1MOXgo9VBeUZ7F1RITHNMzuGePTj3CbeERARFhtjBXY7PfHKKgoCAqKmrSpEnPP/98c38v\nEcnIz8jIz8gsyKyaJeRSgMtNq7pMwd3kHmwNDrIGOQ+tBfkEhfiGOD/r1sGrQ8vHXwAARKS0\ntNTV1XXHjh0DBw7UuparccROS2YX841dbryxy41VLcmZyYdSDzlz3pJtS5IykorLinU6XbA1\n2Bnyrnz1j/Cz+DVhMRaLZeHChRMmTNi5c+dzzz03aNCgX7ad0vLS7MLsrMKsrIKsrMKsjPyM\n8/bzmQWZzgcX8i84HzsnB9HpdP4Wf5unLdga3Mm705DoIc4AF+oX2sm7U9P+gAAAKI9g17qE\n2cLCbGFjeo1xPnU4HGl5aacunErKTHJ+/eTgJ0mZSRn5GSLi7e4d4R8R6hcabA0O8AxwfnXe\n9D3AK+AXHNB64IEHbrjhhoULFw4ZMqR///5z586tfp1sYUlhVmGWM5Y5Q1t2YbbzgfNrZn5m\nVmFWfnF+1Ut8zD4dvDo4o1ugV+B1Adf5e/rbLLaO3h1tFpvzMR9xAwCgqRDsWjWdTuc8ghUf\nFV+93V5kT8pMSspIOpVxynklwf4z+9Pz0tNz050nMY16Y4BXQEfvjh29Ozony/V297a41n0q\n2eJqMRlMzscl5SV9JvTxiPfYsnPLbQtu83rPyxpoLdOXZRVmF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- "text/plain": [ - "plot without title" - ] - }, - "metadata": { - "image/png": { - "height": 420, - "width": 420 - }, - "text/plain": { - "height": 420, - "width": 420 - } - }, - "output_type": "display_data" - } - ], - "source": [ - "biases = rep(NA, 50)\n", - "variances = rep(NA, 50)\n", - "trainerr = rep(NA, 50)\n", - "testerr = rep(NA, 50)\n", - "for (i in 1:50) {\n", - " res = bias.variance(1000, 2*i)\n", - " biases[i] = res$bias.squared\n", - " variances[i] = res$variance\n", - " trainerr[i] = res$train.error\n", - " testerr[i] = res$test.error\n", - "}\n", - "df = 2*(1:50)\n", - "plot(df, biases, col = \"black\", type = \"l\", ylim = c(0, 4), xlab = \"DF\", ylab = \"error\")\n", - "lines(df, variances, col = \"darkgreen\")\n", - "lines(df, trainerr, col = \"blue\")\n", - "lines(df, testerr, col = \"red\")\n", - "lines(df, rep(1, 50), lty = \"dashed\")\n", - "legend(\"topright\", legend = c(\"bias^2\", \"variance\", \"training error\", \"test error\"),\n", - " col = c(\"black\", \"darkgreen\", \"blue\", \"red\"), lty = 1)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [] - } - ], - "metadata": { - "kernelspec": { - "display_name": "R", - "language": "R", - "name": "ir" - }, - "language_info": { - "codemirror_mode": "r", - "file_extension": ".r", - "mimetype": "text/x-r-source", - "name": "R", - "pygments_lexer": "r", - "version": "3.6.2" - } - }, - "nbformat": 4, - "nbformat_minor": 2 -} diff --git a/src/ridge_regression_and_lasso.ipynb b/src/ridge_regression_and_lasso.ipynb deleted file mode 100644 index 805bc65..0000000 --- a/src/ridge_regression_and_lasso.ipynb +++ /dev/null @@ -1,1241 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# Ridge Regression and the Lasso" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "New R commands:\n", - "* `glmnet(x, y, alpha = , lambda = )`\n", - "* `model.matrix(formula, data)`\n", - "\n", - "Useful R commands to remember:\n", - "* `seq(from, to, length = )` create a list of a given `length` of linearly spaced numbers between `from` and `to`.\n", - " \n", - "\n", - "This section follows the Lab 2 in chapter 6 from the textbook.\n", - "\n", - "We will use the `glmnet` package in order to perform ridge regression and\n", - "the lasso. The main function in this package is `glmnet()`, which can be used\n", - "to fit ridge regression models, lasso models, and more. This function has\n", - "slightly different syntax from other model-fitting functions that we have\n", - "encountered thus far in this book. In particular, we must pass in an x\n", - "matrix as well as a y vector, and we do not use the y ∼ x syntax. We will\n", - "now perform ridge regression and the lasso in order to predict Salary on\n", - "the Hitters data." - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Ridge regression" - ] - }, - { - "cell_type": "code", - "execution_count": 99, - "metadata": {}, - "outputs": [ - { - "data": { - "text/html": [ - "
    \n", - "\t
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  29. 'Division'
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  31. 'PutOuts'
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  33. 'Assists'
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  37. 'Salary'
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The first is to produce a random\n", - "vector of TRUE, FALSE elements and select the observations corresponding to\n", - "TRUE for the training data. The second is to randomly choose a subset of\n", - "numbers between 1 and n; these can then be used as the indices for the\n", - "training observations. The two approaches work equally well." - ] - }, - { - "cell_type": "code", - "execution_count": 106, - "metadata": {}, - "outputs": [], - "source": [ - "set.seed(1)\n", - "train = sample(1:nrow(x), nrow(x)/2)\n", - "test = (-train)\n", - "y.test = y[test]" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Next we fit a ridge regression model on the training set, and evaluate\n", - "its MSE on the test set, using λ = 4. Note the use of the `predict()`\n", - "function again. This time we get predictions for a test set, by replacing\n", - "`type=\"coefficients\"` with the `newx` argument." - ] - }, - { - "cell_type": "code", - "execution_count": 107, - "metadata": {}, - "outputs": [ - { - "data": { - "text/html": [ - "142226.503737984" - ], - "text/latex": [ - "142226.503737984" - ], - "text/markdown": [ - "142226.503737984" - ], - "text/plain": [ - "[1] 142226.5" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "ridge.mod = glmnet(x[train,], y[train], alpha = 0, lambda = grid)\n", - "ridge.pred = predict(ridge.mod, s = 4, newx = x[test,])\n", - "mean((ridge.pred - y.test)^2)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Remember that in the extreme case of λ approaching infinite, all coefficients are shrunk to zero,\n", - "which corresponds to fitting a model with only an intercept.\n", - "Let us check that this is the case for our fit." - ] - }, - { - "cell_type": "code", - "execution_count": 108, - "metadata": {}, - "outputs": [ - { - "data": { - "text/html": [ - "224669.833069663" - ], - "text/latex": [ - "224669.833069663" - ], - "text/markdown": [ - "224669.833069663" - ], - "text/plain": [ - "[1] 224669.8" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "ridge.pred = predict(ridge.mod, s = 10^200, newx = x[test,])\n", - "mean((ridge.pred - y.test)^2)" - ] - }, - { - "cell_type": "code", - "execution_count": 109, - "metadata": {}, - "outputs": [ - { - "data": { - "text/html": [ - "224669.906736192" - ], - "text/latex": [ - "224669.906736192" - ], - "text/markdown": [ - "224669.906736192" - ], - "text/plain": [ - "[1] 224669.9" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "mean((mean(y[train]) - y.test)^2)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "So fitting a ridge regression model with λ = 4 leads to a much lower test\n", - "MSE than fitting a model with just an intercept.\n", - "\n", - "We now check whether\n", - "there is any benefit to performing ridge regression with λ = 4 instead of\n", - "just performing least squares regression. Recall that least squares is simply\n", - "ridge regression with λ = 0. While the two methods yield very similar results,\n", - "it is unclear to me why there are still small differences." - ] - }, - { - "cell_type": "code", - "execution_count": 110, - "metadata": {}, - "outputs": [ - { - "data": { - "text/html": [ - "167018.249850993" - ], - "text/latex": [ - "167018.249850993" - ], - "text/markdown": [ - "167018.249850993" - ], - "text/plain": [ - "[1] 167018.2" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "ridge.pred = predict(ridge.mod, s=0, newx=x[test,], exact=T, x=x[train,], y=y[train])\n", - "mean((ridge.pred-y.test)^2)" - ] - }, - { - "cell_type": "code", - "execution_count": 111, - "metadata": {}, - "outputs": [ - { - "data": { - "text/html": [ - "168593.303967074" - ], - "text/latex": [ - "168593.303967074" - ], - "text/markdown": [ - "168593.303967074" - ], - "text/plain": [ - "[1] 168593.3" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "lm.pred = predict(lm(Salary ~ ., data = Hitters, subset=train), Hitters[test,])\n", - "mean((lm.pred-y.test)^2)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "In general, instead of arbitrarily choosing λ = 4, it would be better to\n", - "use cross-validation to choose the tuning parameter λ. We can do this using\n", - "the built-in cross-validation function, `cv.glmnet()`. By default, the function\n", - "performs ten-fold cross-validation, though this can be changed using the\n", - "argument `nfolds`. Note that we set a random seed first so our results will\n", - "be reproducible, since the choice of the cross-validation folds is random." - ] - }, - { - "cell_type": "code", - "execution_count": 112, - "metadata": {}, - "outputs": [ - { - "data": { - "text/html": [ - "326.08278854596" - ], - "text/latex": [ - "326.08278854596" - ], - "text/markdown": [ - "326.08278854596" - ], - "text/plain": [ - "[1] 326.0828" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "image/png": 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M4FLsVGxMZ60sq1K1JendtJfdOjzGd+/yOTPCfFNGfYGsDdQ3gCmHG58MSNGzcE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yvu/ZV+uzbO+7u35jNqw/s6BRewrGElIU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\nWlJS0rhiMBiI6Ny5c9zDGIaJjIz09va+lyFBBFCeAJAOBDu4KTo62mLl6tW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"ridge.pred.best = predict(ridge.mod, s=bestlam, newx=x[test,])\n", - "mean((ridge.pred.best-y.test)^2)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Finally, we refit our ridge regression model on the full data set,\n", - "using the value of λ chosen by cross-validation, and examine the coefficient\n", - "estimates." - ] - }, - { - "cell_type": "code", - "execution_count": 116, - "metadata": {}, - "outputs": [ - { - "data": { - "text/html": [ - "
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\n" - ], - "text/latex": [ - "\\begin{description*}\n", - "\\item[(Intercept)] 15.4438313539103\n", - "\\item[AtBat] 0.0771554748907925\n", - "\\item[Hits] 0.859115814031969\n", - "\\item[HmRun] 0.601031069746882\n", - "\\item[Runs] 1.06369006654778\n", - "\\item[RBI] 0.879361053365972\n", - "\\item[Walks] 1.62444616279791\n", - "\\item[Years] 1.35254779528422\n", - "\\item[CAtBat] 0.0113499915102498\n", - "\\item[CHits] 0.0574665439614789\n", - "\\item[CHmRun] 0.406801566464205\n", - "\\item[CRuns] 0.114562244309134\n", - "\\item[CRBI] 0.121165037864304\n", - "\\item[CWalks] 0.0529920199108252\n", - "\\item[LeagueN] 22.0914318947081\n", - "\\item[DivisionW] -79.0403263679412\n", - "\\item[PutOuts] 0.166199027482507\n", - "\\item[Assists] 0.0294194957326422\n", - "\\item[Errors] -1.36092944882302\n", - "\\item[NewLeagueN] 9.12487766980244\n", - "\\end{description*}\n" - ], - "text/markdown": [ - "(Intercept)\n", - ": 15.4438313539103AtBat\n", - ": 0.0771554748907925Hits\n", - ": 0.859115814031969HmRun\n", - ": 0.601031069746882Runs\n", - ": 1.06369006654778RBI\n", - ": 0.879361053365972Walks\n", - ": 1.62444616279791Years\n", - ": 1.35254779528422CAtBat\n", - ": 0.0113499915102498CHits\n", - ": 0.0574665439614789CHmRun\n", - ": 0.406801566464205CRuns\n", - ": 0.114562244309134CRBI\n", - ": 0.121165037864304CWalks\n", - ": 0.0529920199108252LeagueN\n", - ": 22.0914318947081DivisionW\n", - ": -79.0403263679412PutOuts\n", - ": 0.166199027482507Assists\n", - ": 0.0294194957326422Errors\n", - ": -1.36092944882302NewLeagueN\n", - ": 9.12487766980244\n", - "\n" - ], - "text/plain": [ - " (Intercept) AtBat Hits HmRun Runs RBI \n", - " 15.44383135 0.07715547 0.85911581 0.60103107 1.06369007 0.87936105 \n", - " Walks Years CAtBat CHits CHmRun CRuns \n", - " 1.62444616 1.35254780 0.01134999 0.05746654 0.40680157 0.11456224 \n", - " CRBI CWalks LeagueN DivisionW PutOuts Assists \n", - " 0.12116504 0.05299202 22.09143189 -79.04032637 0.16619903 0.02941950 \n", - " Errors NewLeagueN \n", - " -1.36092945 9.12487767 " - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "out = glmnet(x, y, alpha=0)\n", - "predict(out, type=\"coefficients\", s=bestlam)[1:20,]" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## The Lasso\n", - "\n", - "We saw that ridge regression with a wise choice of λ can outperform least\n", - "squares as well as the null model on the Hitters data set. We now ask\n", - "whether the lasso can yield either a more accurate or a more interpretable\n", - "model than ridge regression. In order to fit a lasso model, we once again\n", - "use the `glmnet()` function; however, this time we use the argument `alpha=1`.\n", - "Other than that change, we proceed just as we did in fitting a ridge model." - ] - }, - { - "cell_type": "code", - "execution_count": 117, - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "Warning message in regularize.values(x, y, ties, missing(ties)):\n", - "“collapsing to unique 'x' values”\n" - ] - }, - { - "data": { - "image/png": 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lJak+ZtOx7X9YwL+lzx26MyD2x2pkWLFkUiexnl1bp16w6sagCoBdGoJk/WCy/o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\nSLHV6rrQx7+UlpY2X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QMAAC0gPAHs6SE8UbNdu3jxIhGZ/BWiaOwAAEALCE8AewhPcAefugAAQAsITwB7\nCE9wB40dAABoAZMngD1MnuAOGjsAANACJk8Ae5g8wR00dgAAoAWEJ4A9TJ7gDsITAACgBYQn\ngD2EJ7iDfhkAALSA8ASwh/AEd9DYAQCAFhCeAPYQnuAOGjsAANACwhPAHsIT3OHTNXYlKWei\nIo/GXL11Pz2nSCpTiSQ2jq4e3h26BQ8eNTK4tZXA0AUCAJg+hCeAPYQnuMOTxq74xvr3wz/c\ncLVQVeuX5wvsAl+av2rFh8+4YD8BAOASwhPAHsIT3OFFY5e+6aVB06NyHfxHTn928IA+Xb1c\nnBwd7SSkKCvJf5R+P+HisR2btv05e+jl5MhzPw93NHS5AAAmDOEJYA/hCe7woLFTX/hxQdTj\nNuF7Lmwc51LjdGtA1+CQZye9+9ms5aMGzFn9/o8zbi3qaIgqAQCaBplMlpyc7OfnZ+hCgMek\nUmlmZqaPj4+hCzFBPDhzmXn+fBr5vvJxLV1dFevOn3wR3oIST53O1l9lAABND8ITwB7CE9zh\nQWOnVquJysvLG9hMaGUlISorK9NLUQAATRTCE8AewhPc4cGP1S0oyIWS1i/d8kBZ90bl6Vu/\n2ZxGLkFBbvqrDACg6QkNDY2OjjZ0FcBv4eHhkZGRhq7CNPHgGjtB/9nLRm2ZvmNKx4Qd06aF\nDQnu3N6zlbOtlVggKy4qyktPvHrh5J51a7bH5zmErP7gGTND1wsAYMoQngD2EJ7gDg8aOyL3\naTvPCN595dONESs/jlhZ6yYCm4BJqzb//JaXnksDAGhiEJ4A9hCe4A4vGjsiSYepay++OO/M\n3r1HTsfEJqRl5+UXlCiEEhsnV0/fjt0HjAibMMzPHncoBgDgWkRExOzZs1NTUw1dCPDY1q1b\nV61aFR8fb+hCTBBPGjsiIrJq02/iu/0mvmvoOgAAmjCEJ4A9hCe4w6fGDiPFAAAMDpMngD1M\nnuAOTxo7jBQDADAOCE8AewhPcIcXjR1GigEAGAuEJ4A93YYnMjIy4uPj1Wo1c7G0tFQikQgE\nVWfzZDKZg4ODTp7RmPGgscNIMQAA44HwBLCn2/CEk5OTxicNhUIRHx/v5eUlkUgqF1NSUiws\nLHTyjMaMB41dxUixBY0YKbZy4KpTp7OpYwv9FQcA0MQgPAHs6TY8YWlp6eVV7XZnZWVl8fHx\n7u7udnZ2lYuPHz/W1TMaMx40dhgpBgBgPBCeAPYQnuAODz51YaQYAIDxQHgC2FK3SMIAACAA\nSURBVEN4gjs8aOwE/WcvG+X0cMeUjp1DP/x+8/6Ya0mZjwufSKXF+dmZqYkXD23735wXgzpP\n2fHQIWQhRooBAHBKJpMlJiYaugrgN6lUeu/ePUNXYZp4cCoWI8UAAIwHwhPAHiZPcIcXjR1G\nigEAGAuEJ4A9TJ7gDk8aOyLCSDEAACOA8ASwh/AEd/jU2GGkGACAwSE8AewhPMEdnjR2GCkG\nAGAcMHkC2NPt5Alg4kVjh5FiAADGAuEJYA/hCe7woLHDSDEAAOOB8ASwh/AEd3jwY60YKfZK\nI0aKtaDEU6ez9VcZAEDTExoaGh0dbegqgN/Cw8MjIyMNXYVp4kFjh5FiAADGA+EJYA/hCe7w\noLHDSDEAAOOByRPAHiZPcIcHjR1GigEAGI+IiIjhw4cbugrgt61bt4aFhRm6CtPEg/AERooB\nABgPhCeAPYQnuMOLxo7bkWI3btyQyWT1bHD79u2nqxoAwPRg8gSwh8kT3OFJY0dE3IwUS0pK\n6tSpk1qtbnBLhUJhbm6uy+cGAOAhhCeAPYQnuMOnxo6LkWLe3t5FRUUKhaKebTZu3Pjhhx82\npvkDADB5mDwB7GHyBHd40thxOVLMxsam/g2srKy0flAAABOFyRPAHiZPcIcXjR1GigEAGAuE\nJ4A9hCe4w4PGDiPFAACMB8ITwB7CE9zhQb+MkWIAAMYD4QlgD+EJ7vCgscNIMQAA44HJE8Ae\nJk9whweNHUaKAQAYD0yeAPYweYI7PLjGTtB/9rJRW6bvmNIxYce0aWFDgju392zlbGslFsiK\ni4ry0hOvXji5Z92a7fF5DiGrMVIMAIBTCE8AewhPcIcHjR1GigEAGA+EJ4A9hCe4w4vGjtuR\nYgAA0HgITwB7CE9whyeNHRFxM1IMAAC0gskTwB4mT3CHT40dFyPFAABAK5g8Aexh8gR3eNLY\ncTlSDAAAGg/hCWAP4Qnu8KKxw0gxAABjgfAEsIfwBHd40NhhpBgAgPFAeALYYxOekMlkSmW1\nG9uqVCq1Wm1mZsbchlV9fMaDxq5ipNiCRowUWzlw1anT2dSxhf6KAwBoYhCeAPbYhCeOHTtW\nXFzcmC0bHlplinjQ2GGkGACA8UB4AthjE54YMmSIQqFgriQkJEil0u7du1euyGSyo0ePMo/h\nNR08uHQRI8UAAIwHwhPAHpvwhLm5uXV1YrHYzMyMuWJlZaXbgnmEB0fsMFIMAMB4IDwB7CE8\nwR0eNHYYKQYAYDwQngD2MHmCO7xo7DBSDADAWCA8Aexh8gR3eNLYERFGigEAGAGEJ4A9TJ7g\nDm8ugC1LPfbzJ+FjBvbtO3BM+Ke/RmfINbe4u+GVESNmbMFrDQAAhxCeAPYweYI7vDhip364\nd+aQl1YnSP/9/5jofZvXbloceWhBX7uqrQpvRx86ZNP7iUFKBABoIhCeAPYQnuAOH/rl/O3v\nTFmdIGs56KPfok5dunhixzdTOtrkn184/tW/Hxm6NgCAJgbhCWAP4Qnu8KCxkx78O6qIAj6J\nOvTdG6P7d+8xMGz2H+cOf9ZFnLP77be2Zhu6PACAJkUmkyUmJhq6CuA3qVR67949Q1dhmnjQ\n2GWkpCjIfeS4buKqNevgLzfP62aet+ejz/YXGa40AIAmJyIiYvjw4YauAvht69atYWFhhq7C\nNPGgsbOysiKSa87zFQXOWTPb3yxr43vzzkhr/0YAANA5hCeAPYQnuMODH2vLrl1dKfufVX9n\nq6uti4Pm/TbLV5C0avKbOx+qDFQcAEATExoaGh0dbegqgN/Cw8MjIyMNXYVp4kFjJ+w/86Pe\nVlnbJ3XpN3XRz1t3n0767widpN/SrZ93k6RueaHHyLnbYrPLDVonAEBTgPAEsIfwBHd40NiR\nwPej3ZHzh7XMjdm4eObk597anFb5JUn3Lw7umzvA+dHhr15+a0O6AYsEAGgaEJ4A9hCe4A4f\nGjsigevgLw6lZCUe/2vtT8vfHejM/FrzQUtP3ks8tmnJzJdGPdPD19ncUEUCADQFCE8AewhP\ncIcXNyiuYObQftCL7QfV8hWBrc/g8M8Hh+u9JACAJgfhCWAP4Qnu8KixAwAAw8PkCWAPkye4\ng34ZAAC0gPAEsIfwBHfQ2AEAgBYQngD2EJ7gDho7AADQAsITwB7CE9xBYwcAAFpAeALYQ3iC\nOwhPAACAFhCeAPYQnuAO+mUAANACwhPAHsIT3EFjBwAAWkB4AthDeII7aOwAAEALCE8AewhP\ncAeNHQAAaAHhCWAP4QnuIDwBAABaQHgC2EN4gjvolwEAQAsITwB7CE9wB40dAABoAeEJYA/h\nCe6gsQMAAC0gPAHsITzBHTR2AACgBYQngD2EJ7iD8AQAAGgB4QlgD+EJ7qBfBgAALSA8Aewh\nPMEdPh2xK0k5ExV5NObqrfvpOUVSmUoksXF09fDu0C148KiRwa2tBIYuEADA9MlksuTkZD8/\nP0MXAjwmlUozMzN9fHwMXYgJ4kljV3xj/fvhH264Wqiq9cvzBXaBL81fteLDZ1xwCBIAgEsR\nERGzZ89OTU01dCHAY1u3bl21alV8fHz9mxUWFt69e1djMS8vz8HBgXmJXm5urpmZme6r5Cde\nNHbpm14aND0q18F/5PRnBw/o09XLxcnR0U5CirKS/Efp9xMuHtuxadufs4deTo489/NwR0OX\nCwBgwhCeAPYaGZ4QCDTPxanV6oKCAisrK4lEUv+WTRYPGjv1hR8XRD1uE77nwsZxLjV+cQFd\ng0OenfTuZ7OWjxowZ/X7P864taijIaoEAGgaEJ4A9hoZnrCzs+vevTtzRaVSVVwJ4OzsXLkY\nFxdXXFys+yr5iQefujLPn08j31c+rqWrq2Ld+ZMvwltQ4qnT2fqrDACg6UF4AthDeII7PGjs\n1Go1UXl5eQObCa2sJERlZWV6KQoAoInC5AlgD5MnuMODxs4tKMiFktYv3fJAWfdG5elbv9mc\nRi5BQW76qwwAoOnB5AlgD5MnuMODa+wE/WcvG7Vl+o4pHRN2TJsWNiS4c3vPVs62VmKBrLio\nKC898eqFk3vWrdken+cQsvqDZ5CLAQDgEMITwB4mT3CHB40dkfu0nWcE777y6caIlR9HrKx1\nE4FNwKRVm39+y0vPpQEANDEITwB7mDzBHV40dkSSDlPXXnxx3pm9e4+cjolNSMvOyy8oUQgl\nNk6unr4duw8YETZhmJ89ss4AAFxDeALYQ3iCOzxp7IiIyKpNv4nv9pv4rqHrAABowjB5AtjD\n5Anu8Kmxw0gxAACDw+QJYK+RkyfgKfCkscNIMQAA44DwBLCH8AR3eNHYYaQYAICxQHgC2EN4\ngjs8aOwwUgwAwHggPAHsITzBHR4cCMVIMQAA44HJE8AeJk9whweNHUaKAQAYD0yeAPYweYI7\nPGjsMFIMAMB4IDwB7CE8wR0eXGOHkWIAAMYD4QlgD+EJ7vCgscNIMQAA44HwBLCn7/BERgZ9\n/nmX/fuJiEaNoqVLyc1kz+/xorHDSDEAAGOByRPAnl4nTxQXU0gI3b5tXvG/mzbR+fMUG0s2\nNvp4dr3jSWNHRBgpBgBgBDB5AtjT6+SJbdvo9u1qK7dv07Zt9Prr+nh2veNTY4eRYgAABofw\nBLCn1/DE9euNXTQJPGnsMFIMAMA4IDwB7Ok1PFHrJaGme50oLxo7jBQDADAWCE8Ae3oNT4wf\nT4sXU3Fx1YqNDY0fr6dn1zseNHYYKQYAYDwQngD29Bqe8Pamf/6hN96g9HQiInd3WrOGvL31\n8dSGwIMzlxgpBgBgPDB5AtjT9+SJkSMpKenG5s03Nm+mpCQaOVJ/T613fDhih5FiAABGA+EJ\nYM8AkyfMzaW+vhX/odfn1Tse/HFipBgAgPEIDQ2Njo42dBXAb+Hh4ZGRkYauwjTx4IgdRooB\nABgPhCeAPX1PnmhKeNDYYaQYAIDxQHgC2Ks1PHHq1Km8vDzmikqlUqlUIpFmr6JQKDgvkbd4\n0dhxO1KsuLi4/l1EKpU+XdUAAKYHkyeAvVonT3Tu3FnjQvnU1NT8/PwuXbpUrqjV6lOnTonF\nYj0VykM8aeyIiJuRYklJSb6+vipV7Tc+ZlKr1bp8YgAAfkJ4AtirNTxhb29vb2/PXMnNzS0u\nLnZxcalcacz7dRPHp8aOi5Fi3t7ecXFxcrm8nm127dq1bNkygQAjywAAMHkCdECvkyeaGJ40\ndlyOFOvYsYE7GsfGxmr9oAAAJgrhCWAP4Qnu8KKxw0gxAABjgfAEsKfXyRNNDA8aO4wUAwAw\nHghPAHu1hidAJ3hwASxGigEAGA+EJ4A9A0yeaDL4cMQOI8UAAIwGwhPAHsIT3OFBv4yRYgAA\nxgPhCWAP4Qnu8KCxE/SfvWyU08MdUzp2Dv3w+837Y64lZT4ufCKVFudnZ6YmXjy07X9zXgzq\nPGXHQ4eQhRgpBgDAKZlMlpiYaOgqgN+kUum9e/cMXYVp4sGpWIwUAwAwHghPAHsIT3CHF40d\ntyPFAACg8RCeAPYQnuAOTxo7IuJmpBgAAGgF4QlgD+EJ7vCosZPnJF65mSVw9vb3d7cVEpHq\n8bn1Kzceu5ZaKPHoNvyVt1/p1wpTgQEAuIXwBLCH8AR3+NHYqR4emvvS1O+jHyqJSGDn/9I3\n//w+LCas15sHctQVWxzY8fvPvy+OOrKgr61BKwUAMHGYPAHscT15QnjpUpvTp83s7WnoUGpi\n53z58K9V3Vw2JvTr6IfWviEvTnphiJ/ZrT/fHtsn9KMDea4hc7cci70Rf2b3ty96l15Y+MJH\nx3EbOwAALkVERAwfPtzQVQC/bd26NSwsjJOHLiiggQPNBwzotWqV9YgR1Ls3PXrEyRMZKx4c\nsSs/+uOKK2XNQzde2f6Ku4ioPGvX1B5hm6+R57sH9y3tY0FEFNAp2KcksdOirRsO/Tx4HE7I\nAgBwBeEJYI/D8MR771F0dNX/XrpEr71GUVGcPJdR4sEfZ2pcXD41n/jBK+4VXaiZy3NzXvcn\najFqfEVXR0REwsBRwz1Ievv2A0PVCQDQFISGhkYz3zgBtBceHh4ZGan7x1Wrae9ezcVDh6i0\nVPfPZax40NgREZGVlRXj/ywsLIjE4upH5pTKeiZTAACATiA8AexxFZ4oK6PiYs1FpZIKC3X/\nXMaKB41d68BAO0rbuy3mv3677OLazfFEGUcOXKsaIFt+/eDRTLLy88PLDQAAhzB5AtjjavKE\npSV16KC56OZGrq66fy5jxYPGTjT83XcDRLdWDAkcOu3juZ/OeLZbyPIbLf397RK+C5u44mB8\nckbqtf0rX3pu+TVq/uLkYTy4ahAAgL8QngD2OAxPrFhBZtWHi66sfWSVqeJDG2TWdfH+7UUv\nvrb66IbvjxKRsHmfuVsip92e2GvGjo9G7vjov81aT/lt2TCJISsFADB5CE8AexyGJ4YOpXPn\nyr/+uujyZZuOHcUff0wDBnDyRMaKD40dkVnrcT+dG/bplbMXk55YeXQO7uVlJ6CBey+0XLHs\n16jLqUUiF/8BL8769LW+LoauFADAxGHyBLA3cuRIpVL5zz//NLilpaWl1o/eo4diy5Yje/eO\nGDFCbGf3NPXxGT8aOyIisnTrNmR8N8aCxHvs3HVj5xqsIACAJgjhCWCvZcuWzz33nFqtZi6e\nOXOmQ4cOzZo1q1xJTU0tKirSe3X8xqPGDgAADA+TJ4C9srKyoqIijckTAoHAwcHBxaXq5Ftu\nbm5xzZQr1AvXSQAAgBYQngD2OAxPNHlo7AAAQAsITwB7HIYnmjwenIp9uH/Z0v2Zjdy41ajP\n545qyWk9AABNGcITwF54ePiIESMMXYVp4kFjV3Ln4PrVp0vVDW9JRAHOM9DYAQBwB+EJYI+r\nyRPAi8bO5/1Tuc8d/2nGlM8OZFLrl375+eV69gU73zb6qwwAoOlBeALYk0qlmZmZGuEJ0Ake\nNHZEZNl68Kd/fHms1fQjtr4Dx4zBywkAgKFERETMnj07NTXV0IUAj23dunXVqlXx8fGGLsQE\n8efSRechQ7oYugYAgCYP4QlgD+EJ7vDjiB0REXkMmfHeO496Ohq6DgCApgzhCWAP4Qnu8Kix\nE3Sb9mO3hjcDAAAOITwB7CE8wR0cCAUAAC3IZLLExERDVwH8JpVK7927Z+gqTBMaOwAA0AIm\nTwB7mDzBHTR2AACgBYQngD2EJ7jDo2vsAADA8BCeAPYQnuAO+mUAANACwhPAHsIT3EFjBwAA\nWkB4AthDeII7aOwAAEALCE8AewhPcAfX2AEAgBYQngBtxcbGZmVlMVeuXbv25MmTffv2MReV\nSmVZWZl+SzNBaOwAAEALCE+Atjw9PZ2cnJgrdnZ23bp169ChA3Px6tWrFhYW+i3NBKGxAwAA\nLSA8AdpydnZ2dnZmrqhUqpKSEi8vL+ZiXFycQCDQb2kmCIfTAQBACwhPAHulpaWZmZmGrsI0\nobEDAAAtIDwB7O3du3fJkiWGrsI0obEDAAAtIDwB7AkEApx15QiusQMAAC0gPAHsjR8/XmdX\nau7f775pk7K0lFJT6aWXqMl/6kBjBwAAWkB4AtgTi8UacYqnNHMm/fzzvw8UGUlbt1JUVBPv\n7Zr0Px4AALSF8ASwp5vwxNmz9PPP1VYOHKDNm9k+LM+hsQMAAC0gPAHs6SY8ceZMYxebEjR2\nAACgBYQngD3dhCfMzRu72JTw6ho7ddmjG+fPXb11Pz2nSCpTiSQ2jq4e3h269erh1xz3qgYA\n0AeEJ4A93YQnBg6sZXHwYLYPy3N8aexKbm6Z9/7C34/eL67li0Jbn8FTPlm6eHpPZ3yKBADg\nFMITwJ5uwhNdu9LSpbRgAZWX/7syfTqFhbF9WJ7jRWNXenHhM898cblM5ODda/SAPl29XJwc\nHe0kpCgryX+Ufj/h4omjx1a/cWzPwQ2n/n7Fmxf/JAAAnpLJZMnJyX5+foYuBHhMZ5Mn5s6l\nkSMfbtyoKClpPWUKPfOMDh6T5/jQBSWvfmfJZVHP2Yd2fjnMvdZTrurCuDWvjn1r14wZm0Yc\nme6i7wIBAJqOiIiI2bNnp6amGroQ4LG9e/euW7du2rRpOnisrl2zBILi4uLW/frp4NH4jweN\nXe7hg7Gqlu99t3yYe10nWgX2Xd7csvKk64S/du4rmj7NTq/1AQA0JQhPQD3UanVOTo5arWYu\nSqVSiUTC3G1kMhkmT3CEB41dYWEhkbOLSwOvI9Y+Pq5EOTk5RGjsAAC4gvAE1KOoqCgmJkZj\nUaFQmJmZMRu7wMDAOXPm6Le0poIHjZ2Hr6+E/tq57drHCzvVHWJWXo/Yn0yS533c9FgaAECT\ng/AE1MPe3j40NFRjMSoqKjAw0NPTs3Ll3r179+7d02tlTQYPDqeLR7/3jo/qyuLBA978Ye/l\nB8Xl1b+sKsm8fuiXmQMHL7qibvPaW2MkhqkSAKBpwOQJYE9n4QmogQdH7Ejc86tDfz4ePX3T\nmg/GrflAKHFs5dHK2dZKLJAVFxXlPXyQVVxORBKf59fs+W4A7mcHAMAlhCeAPV2GJ6A6PjR2\nRGKviRuvh7zz92/rdh05HRObePdm+r9fEZg7eHQZMmDEhFdnhIe0sTRolQAATQDCE8CebiZP\nQG340dgREYma95g0r8ekeUSkUpQU5heUKIQSG0cnewleYAAA9AbhCWBPN5MnoDb8aewII8UA\nAAwP4QlgTzeTJ6A2fGnsMFIMAMAoYPIEsIfwBHd40dhhpBgAgLFAeALYQ3iCO3zogjBSDADA\naCA8AewhPMEdHjR2GCkGAGA8EJ4A9hCe4A4PPnVpP1IMAAC4gvAEsIfwBHd40Nh5+PpKKGHn\ntmvy+rb6d6SYD0aKAQBwCZMngD2EJ7jDg8YOI8UAAIxHRETE8OHDDV0F8NvevXuXLFli6CpM\nUwPX2MUv6Rnyg9knp8990kE/9dQGI8UAAIwGwhPAHsIT3GmgsWvv71Oau+tqgow6GLJj4u9I\nsZycnLKyMuaKVCqVSqVisZi5WFJSYm9vz1xRKBQSicTc3Jy5KBQKbW1tNZ7C0tJS489DJBLh\nZRcAOILwBFRKS0vLzs5mriiVyprvaHK5XC6vdjkVwhPcaaCxk4Qu+nrQwQ8+f29y8KrRrcT1\nb8wtfo4Ui42NlclkzBWlUqlSqTh90lo/BgmFQjMzs8r/rajBxsaGuY1MJnN0dGQ2neXl5UKh\nUOMSV5VK1apVK41nsbCwEIl4ELIGAJYQnoBK5eXlCoWCuSKVSgsKCqysrJiLarVa4xsRnuBO\nA+/E2ScPPeoyuN2FNWPaHeozpG+HlrYa3+A2ZsH8Ma24q68aHo4UGzlypMbKxYsXiYj5ebeo\nqOjgwYNjx46VSKouEDx9+rREIvH3969cyc/Pj4mJ6du3L7Ojio+Pt7KycnGpundfYWFhWlqa\nh4cH80kzMjIkEomFRdVPqaysrOLYIXMzuVyucXyx4q8xLS1N418RFxdX/z+8goWFBbPa8vJy\niUSicdCxvLy85puEs7Mzs1oiMjMzYzamAGAomDwBldq2bdu2bVvmSlpaWlxcXHBwMHMxKipK\n4wQUwhPcaaixO/Xb0pU3iYgoNWZvakyNDQJcZ+qlsWtyI8UEAoFYLLa2tq5cKS0tJaKWLVsy\nT7MmJiY2b96c+QqbmZmZkZHRu3dv5qMdPHjQx8fHx8enciUlJeXGjRtjxoxhbrZ3794uXbow\n26w7d+6kpKQMHDiQuVlERIS/v7+Dg0Plyv379wsKClq2bFm5olKpUlJSxGIx8zBecXFxcXFx\nSUkJ89FUKlVWVlZDPw8iIkvLaufaVSqVs7MzswwisrKycnOrloyu+Ek25vEBoDEweQLYw+QJ\n7jTQ2PnOjLw1UVbPBhbOXjqtp1YYKWZIAoFA45OWQCBwdnZmHibMz89XqVTdu3evXFEqlSkp\nKcHBwY6OjpWLV65ckclkzE9yUqk0KiqqX79+zKbtypUrSqWyRYsWlSulpaXp6elUnVwuz8jI\nyMjI0Fi/dOmSxoqdnR2zRa5YYba5Ff8ojXMHAFArhCeAPYQnuNNAF2Tu3NbP4CfBMVLM1Nnb\n2zMbL2tra7FY3LVr18qV/Pz89PT0ESNGMI+9nTx50tramtmf5eTkxMXFaRyxe/jwYVFRUVFR\nkcbi7du3Ncpwc3PTOE3s6OiocVIbABCeAPYQnuBOow5vqQsTdq9du/PElaRHRUoLR7d23Z55\ndvIr47s008slTxgpBrUSCoUSiYR5RFAulwsEgr59+zI3O3LkiKurq5dX1aHltLS0mzdvurq6\nMjd79OhRzYN/RHTu3Dnm/woEgk6dOmkc23NwcKiZVgYwVQhPAHsIT3Cn4cZOcXv980PfjHig\nrFy5fO7E3j9WLAma+cfeH8a04vyAvPYjxdDYQZWKU8nMI4I2NjZisbhfv37MzaKiotq2bduq\nVdUFo3fv3k1NTdWI+ioUiuvXr2s8Rc1XKIFA0LlzZ41r+8RiMU49gAlAeALYe8rwxI0bguXL\nh547Z92+Pc2aRbhRdm0aauxU176c8GbEQ9eRc5d8MmlIx9aOouLslJvRezat+mnL/8LGtbx2\nYU57jls7D19fCf21c9u1jxd2Mq9zq39Hij2PkWLwVCqusWMe/2vWrFlubq5Grnnnzp2urq7M\n43OZmZlFRUU1j/bVvCiwWbNmGvExc3Nzd3d33fwDAPQF4Qlg72nCE5cuUb9+ArnckYju36cD\nB2jNGnr9da5K5K0GGrvyYz+vuqHqsexo5Jz2/553tfHs7OrZOWTSCx36dpz74+qzn/3Yn9uD\nEOLR773j8+f3iwcPyJw3942wwV08bJingFUlmTfPRPz25YLVV9RtZmKkGHBKKBR6enoyL+MT\niUQPHjxgXnKkVquPHj1qYWHBvMBcLpfn5eVpXOqnVqsfP36scR26h4cHs78EMDYITwB7TxOe\nmD2bqt/lmD76iKZOJdxCtboGfhxpcXH51CnshfY1rqYTdZg8MWjuh1euZFJ/jg+SYaQYGDGB\nQCASiZitWMXN//r06dO8efPKxXPnzmVnZzNvzqJSqXJyclJSUpjvkeXl5RkZGRr3cDE3Nw8K\nCuLw3wCgDYQngL2nCU9cvqy58uQJ3blDjBu+AjUuPFHHfWHNzc3/u7ka1/g7UgyggpWVlZOT\nU//+/StXZDJZREREixYtmHeTyczMLCkpqTmtJDc3V+PTbUBAAPOKQAC9QXgC2Hua8ESzZlRc\n4162zZrpqiST0UBj17pLFydav2tn0kcfeWscM30UFRVLknE++rpCiJuRYhX3WtN4H9VQ8dWa\nE1EA2AsICGAOVYyJiSkpKWHeY6WsrOzOnTslJSXMxk6pVF64cEHj/oLW1tYat5IG4ALCE8De\n04QnQkPpxx+rrQQHkwvucKapgcbObPA77wSu+/KzwaMfL57zRliftrZmpFbk3Tq4ftmchQfL\nXKdOHanHa9o4GCnm4eHx22+/1d/YHTlyZO3atcgzgh6IxWI7OzvmW+aTJ0/u3Lnj7+/PzNje\nvHmztLRUY0RjSUnJP//8w1wRCAQ9e/ZkTgQhDGcD1hCeaLJycnI0Zp2Xlpaam5szX1IKCwsb\ncxzkacITy5bRnTt04MC//xsYSFu2aPHtTUZDp2LNOi3Ys/Hu8Nf+Wj71wPKpZpaOjhaleQVl\nKiJy6Lngn5XDrRt4AB3haqSYmZnZ2LFj698mLy9v7dq1Wj4wgC61bt2aOZwjIyOjWbNm3t7e\nlSt5eXk178OiVqsvXLigsejo6Dh06FDuSgWTh/BE0ySVSmNiYjSaNoVCYWZmxtwfVCqVRvNX\nq6cJT1hZ0f79qkuXLm3a5DdkiP2YMYhN1KrhH4rIe/K2+N6Tf1+9OTL66r1HhXLbdt6+3UPC\n3nxven83/YzgxEgxgGqEQqGVlRVzqlvF/fZCQkKYr7CnT59WKpXMQ30qlaqwsHDfvn0aD9i7\nd+9mPLlURaFQ5OXlMVfKy8vPnTtXXl7e4PeiqdUJhCeaJisrq3Hjxmks2YkREwAAIABJREFU\nHjlypE2bNr6+vpUraWlpcXFxDT7a00+eCApKTU727tcPXV1dGvdzsfYZPWvF6Fkc11IXjBQD\naBxHR0dmY2dlZWVtbc28VV5+fv7t27c1pq7JZLLCwkKpVMpctLW11QjnGsTt27c1rpR49OhR\nQUFBY75XIBBonHQuKCjYs2ePxma9e/fWGEMC9UN4AtjD5AnuNNDYxS/pGfKD2Senz33SQT/1\n1AIjxQCejpmZmb29PTOKoVQq1Wp1SkoKczOFQpGenq5xWsTGxqZDh2p/9gKBoGXLlrq6Pk8q\nlWp0bOnp6ffu3dPYTKlUahSmVqvFYrGTkxNzm9zc3NDQUGaa5OTJkxYWFsxRcgUFBfHx8cHB\nwRpPgXcXbSE8Aew95eQJaIQGGrv2/j6lubuuJsiog8FuEIeRYgC6IpFIRCJRaGgoczEiIqKi\nW6pcUSgUBQUFGnNyKzCPCKrVaoFAwLz4j4jkcrm9vT1zFJtcLi8rK5NIqgWt8vPzG5k079y5\nM/Mp7t69a21t3atXr8qVgoKCw4cPa3yXmZmZtbW1S43EnLz6DU5LSkqkUqnG4Dhra2tm4wga\nEJ4A9p4mPAGN00BjJwld9PWggx98/t7k4FWjW+nnijpNGCkGwCmJROLt7e3j41O5kpKScu3a\nNWbzRERnz561t7e3srKqXCksLCyucVupimvgmIfZVCqVWq3W6KjUarWrqyuz28vNzTU3N2fe\n6q+srOzgwYOtWrWysbGpXMzMzHy6o4YVIeLL1e9xWnFEUOMBmzdv3rdv36d4iiYC4Qlg72nC\nE9A4DTR22ScPPeoyuN2FNWPaHeozpG+HlrYa3+A2ZsH8MdzeJRUjxQD0TCAQCIVCjcNdYrG4\nXbt2zIur7t69m5ycPGzYMOZmO3fu7Nu3L/OqtZs3b+bk5DDvsVdeXr5z587AwEDmgbGrV69W\n3DqBuZnu/k0Vt1QnjaOVx44dc3Nzw1lFrSA8Aew9fXgCGtJQY3fqt6UrbxIRUWrM3tSYGhsE\nuM7kurHDSDEA4IhKpSouLs7KyqpcUavVpaWlzAOTRCQQCJydnXGYqgLCE8AewhPcaaCx850Z\neWtifTfvtXD2queruoKRYgDAhdLS0vz8/Pv379e/mUAgGDx4MF/uCMM1hCeAPYQnuNNAY2fu\n3NbPSFpqbkaKAUBTZm1t7evry+xR0tPTY2NjNc7YAhPCE01BQkJCcnIyc0WlUslkMo2wVFlZ\nWUlJyVM8PsIT3OHB7U7+I8+7f/OhRWCAm1gotnZsISw8tWvz8fiUPLmlS/veo8LGdG2BmxUC\nAHtqtTo/P5+5IpPJxGKxxqlYS0tLjahvE4HwRFPg7u6usXsXFRXdu3dP4y5It27derq/AoQn\nuMOD250QUVni35++9fEvJ9MH/JJzdIYzyRPXvDhi5p7UqkmZ8z7yff7bvze800VPI84AwDRV\nDOE9cuRIg1u6ubk1zfAswhNNgZ2dnZ1dtXuHZWVl3bt3j3lvSCJKSkp6upQ6whPc4cHtTqjk\nyMyQiesyrbyHTH++uzVReezisLf3pIo8npnx1pTBAc3LsxNOblm9cfvMwVKrG1FTOY5yAIAp\ns7S0NDc31zgVu3//fj8/P423tCYL4QlgD+EJ7vDgdidl+3/fkikM+PDQue/72RJR+eHVqxPK\nW724/dJf4/+9G8PYia+9NvrV7mM3LVx5Yeq3vep9OAAALanVaqlUyjw/q1arFQoF8+YsRCQU\nCu3t7fVenb4hPAHsITzBHR7c7iQ9KUlGHSa+3s+24v8zb94sIIewV8dXu8eW87NvPe++6bvz\n5zOoF+5RDAC6JJPJEhISEhISGtxyxIgRGiewTA/CE8AewhPc4cHtTuzs7IgKq6ZK2trZEVlW\nv8sUEZFIJCLSmD4JAMCehYVFYGCgp6dn5UpKSsrdu3eHDh3K3EwoFGpMJzNJCE+YnqKiIo37\ngcvlcjMzM+b1czXHzLCB8AR3eHC7kxbBfbxp6ZqFG6bvmOopInIYOrqv+GjU9rNfD+hbFbsu\nPf9XRAo5Du2CKz8AQMcEAoFIJGKeeBWJRAKBQONUbBOB8ISJUSgUhw8fVqlU+nxShCe4U0tj\n9+CfDz/459GgOX++E/TfkloplylJZGEuYvTXscsHvfZXsxk7d8zw5rbGrh99N2Vj2ObpQT1P\nfDz79QnDe729+pvdgz6eMMrq+y/D+/s2L8+6cWTdwnk/3TLvtuT9Iab/cRkADK60tFQqlWqE\nZ0tKSiQSiUZI0N3dXeMOEXyH8ISJEYvFEyZM0FiMjo5u1qxZYGBg5UpWVtbp06d1+KQIT3Ck\nljaoMOHwzp33bF5lLMUv8u+6VLLw+o1FVb9jKk6/Hh/v+qiU6xKJHEM3nNvhPOmdnzfPfXnz\nXBLZurg5CcWPTn4zqf83lRtZ+b26dfccf5wfAADuicVikUjk4eHBXLx586ajo6NGfsL03r0Q\nngD2GhWeUCgkt27ZZ2RQUBA1gViSrvDk+JaZx/gVp0Z/fG7HX5Enz8RcvJGclSeWiBTlYiu7\nZu7tOvYYNHbKG68M8cRIMQDQi4ozsxrNTWJiopubm7u7u6Gq0g+EJ4C9hsMT585ReLjXvXtE\nRPPm0ddf01tv6a08XuNJY0dEROatgl/+MPjlDw1dBwBAE4bwBK+VlpY+fvyYuaJWq4uLi21t\nbZmLMplMI06hWw2EJ/LyKCyMHj7893+fPKG336b27WnwYO5KMhl8auwAAIyZUqmMj4+/detW\n5YpCoVAqlRrjNYVCYb9+/SwsDDnOhw2EJ3gtLS2NuYtSHTdlVCqVGq2ebjUQnjh5sqqrq/TX\nX9o2dnFxcWJx1WyFvLw8Ijp37hxzGwsLi27dumn1sEYOjR0AgG6YmZm5uro6OjpWrjx69Kig\noMDbu1rCTCAQMN9seAfhCV5r3759+/btmSv5+flHjhwZM2YM82Y90dHRnDZ2DYQnMjIau1gv\nkUjE/FuruMekxl+f6WXb0dgBAOiGQCBwcXFhXmMnl8tLS0tNbBYZwhPAXgPhiU6dGrtYr8DA\nQJO/YXhNPGjsihKOHE4obOTG9v7Dhvo3ud8iAIDeIDzBF2q1Ojo6WqFQMBfLysoEAgHzSgBO\nr6WrSwPhif79adgwOny4aqVFC3rvPf3Uxnd1NnbS3PT09P/+J/tJOZGyKCs93aFqi5wS/dzN\nMO2fD55ffLORGwdo3JMFAMBwnjx5kp+fv2fPHuaiQqGouL8xc9HHx4d5zzBjhvAEXwgEgjZt\n2mgMZEpLSzMzM3Nzq5q9WVpaWlRUpP/a6gtPCIW0cyctWyb76y91SYlk8GD68ktq2VKPBfJY\nXY2dbPurHts11lYO8VipuR23Y2KJiKjD+3tO+Pzx7fzl+1MU1Cx46qt9nOreuGUfU7tlFADw\nl42NjY2NTdeuXZmL0dHR/v7+Dg4OzEUenTBCeMI4PXz48M6dO8wVtVpdVFRkZ2fHbKHKysqc\nnJyYZ9Lz8/Pv3r2rv0KJqDGTJ2xsaNmypMmTHz16NBhhWG3U0thZtgoMCpI08vt9WnF+7zgz\nB5+Bk78Y0E3UOWDhDddhn3y3CFd2AAAvVOQkXFxcNNZtbGyYGYsKcrmc+b8akzqNB8ITxsnS\n0lJjp1IoFNnZ2W5ubsy4gFQqNYaJxpg8wZ1afrveb/wV+4b+K2mA0D8s1G/hDUOXAQDA3tmz\nZxvcxszMbNy4ccbwHqwB4QljcObMmdLSapOfKk65Mi+eqxj/6ufnZ21tXblYUlJiDDnQRk2e\ngKdidC8ZdWvfe3ingNQWfL31EwDAf4KCgpycqi4quXv3bnFxscYZWzMzMyPs6gjhCePg4eGh\n0dhlZGSUl5czx9zJ5fLCwsL6LmUznIYnT8DTMsZXjTqIRv8QP9rQRQAAsGdra6tx1qy4uDgx\nMZG5UlBQYG9vr/Gu3LZtW1dXV32UWDeEJ/RMKpWmpaVpLObn5zs4OGjsHpaWlswjqSUlJRo7\nlfFoIDwBLPCosQMAME0CgUAoFDIvhFKpVE+ePLG3t9e4maoxdFQIT+jZkydP0tPT1Wp15Ypa\nrS4oKCgsLGRehSmVSm1sbAxR4NNoODwBTwuNHQCAgVlYWNjb23fv3r1yRS6Xp6SktGvXzt7e\nnrmlWq02eMYC4QlOPXnyRCqVMleUSqWvry/z4jmlUnn27NlevXoxj/tevnxZ45Z1xgzhCe6g\nsQMAMFInTpxocBuxWBwaGqrPs1oIT3Dq3LlzBQUFjdlSqVRyXQx3EJ7gDho7AAAj1bt3b+a8\nzoSEBJVKpXEfY7FYrOdrlRCe0BW5XM6YBPCv5s2be3l5Mc+5Z2RkyOXykJCQyhWFQrF7927j\nzNY0EsIT3OHxbgEAYNrs7OyY9zEWCoVSqTQrK6typeJaq5oX0bu7u3N3uRXCE7pSVFR0+/bt\nipuSVCopKZFIJMzT63K5XCJp7M1l+QLhCe7U0tg9STx+LLGx00Xs/EIG+9k2vB0AALAjl8tL\nSkoePHhQuaJSqQoLC4uKijQ6LTs7O+4aO4Qnns7Jkyezs7Mbs2XXrl2Zdy25fv16fn4+Z3UZ\nBsIT3KmlsUv9673xmM0KAGBkrK2tJRJJr169KleKi4v379/v4+PDvOVsaWmpVCpl9n9EJJFI\nmjdvrpMyEJ5o0JMnTy5evFjzUJy1tTXzUJxMJhMIBP3792dudvToUWO4gTDXEJ7gTi2NnXvo\n0g2eVR8OSq6tn7/ytNxn1NTwIYFtW9kpHqcnXd678c8zRX5vr/hqyuC2eqwWAACqVLQOt27d\n0hgGKhD8n727DIhy6eIA/t+gu6REREBQULADO1AxLgq2Yneh1y6s18AuTOwWAzBRRAUVuxVE\nMQEFpHuBfT/Ahd1ldVF4ljq/L9cdZncPXoTDzJw5LMEiSgCKiort27cvlTetBMUTOTk5GRkZ\nIoMZGRlF64sVFBREdgy5XK7I+uinT59iY2MFRzIzMzMyMkT+F2RnZ+vq6grWscbExKSkpBRt\nLlcVUPEEc8Qkduq2/wy3/e9Bou/g2YGcHntfnR9VU+ALftbiBZ597ca5+w0e0k0aYRJCCCki\nL8Po2LGjgkJh2+6bN2/m5uYaGBgUjPD5/MTERJG7alksVo0aNQSfWEwVq3iCz+e/fftWpIA0\nIiIiOTn5r19TJP/Lzc1ls9mCgzk5OXw+X7C5CIDExERdXd1atWoVjLBYrLw+YFUQFU8wR0Lx\nRNL53Sdjas1ZJpTVAYCs6ahVE9dbrd56cWVLpz/+vkAIIYQh2dnZIkfxsrOzk5OTk5KSBBef\nWCyWhobGXyR25ad4Ijc3VyRj+/bt2/v370XmpKSkcDgcwc89OztbQUFBsDAlKyvr58+fdnZ2\ngtOePHmioKAgmJ8lJydHR0dXq1ZN8C1iYmJ0dHQEd7rj4uJiY2NbtGghOM3b21vkuumqTLR4\n4v17rFzZPjBQwdgYEyeiT5+yC63Ck5DY/YiMzIFgub0ANTU1pIeFRQBmTERGCCHkLygqKmpp\naQl2no2Njb1x44aGhobgj9KUlJSwsDCRXlWqqqq1a9f+/euXevFEWlqaYFsFAFFRUSIZW16N\niOAFH3w+X2QD9DcsLS0Fn/vx40cdHR3BG6FjYmICAgIMDAwE/4revn1rYGBQp06dgpGIiIif\nP3+KnIq7fPmygYGBqamp4OtXvnKH0iVUPPH2LZo0QWqqBoD37+Hvj9WrMWdOWcZXkUlI7PSM\njLi4eO7Um5nz64pMjfD1fQpOZ/3SOY1LCCGEUTweTzBrSUhIYLPZgvdo8Pn8uLg4kSP/LBbL\nxMRE8Dh/SYonwsLCEhMTBUcSEhLi4uKK+XTBU2t5uaCurq5gxhYfH6+kpGRrW3CcCCkpKffu\n3TM3Nxd8bkxMDC2elS2h4okFC5CaKvThRYswYQJUVaUfWCUgIbFT6Tmqn473MTcHx8zVS8f1\nsDFQ5iInLfLZhf2rF63wz9QZOOYftd+/AiGEkLKVt3ParFkzwXNgly5dys7OFkz1eDxeampq\n0bYHz58/F3zI4/ESEhJatmwpOJiRkaGioiKYYyUnJ4tU5gLIyckRqUXg8/kcDkdkczMqKqp5\n8+ZaWloFI2/evMnMzGzVqlXBSHp6uq+vb8OGDQU3le7fv89mswXLEcrJrjERIVQ88eiR6Id5\nPLx4AYH/3aT4JF1QrNZz27nlEb3dLi4beHEZOApqKqzUhLRsACyN5ovPevRSl/AChBBCyiFF\nRUUdHR0rK6uCke/fv9+5c6eV8E/Te/fusVgswfWtmzdv7t+/f/v27RLfgsViidQZ8Pl8U1NT\nweNo3759S01NFdzczM3N9fLyUlJSUlJSKhiUkZERaZJLKjSh4gltbRT5HQACaT35I5I7T2jY\nLQwI7XV6x46jF249/fA9OVvLxKxOM/t+E11HtzakpWxCCKlUdHV1BR8qKiqamJiYm5sXjHz5\n8oXNZjs6OgpOu3r1at26dQWv1Q0PD//8+XOXLl0Ep509e1ZfX19fX79gJDk5uejNI6TSEyqe\n+OcfPH0q9OE6dWBhIf2oKoditRRjadTvN39Hv/lMB0MIIaS8s7e3l5WVFblEl8VicblckaN4\nUg+NVBhCxRPz5+PNG5w6lf/QzAynToH20P9W8f7hZUXe8True/vpu6+xydWHHNzV6O76J6Yj\nBjXQpEZvhBBStXC53NJqYkGqLKHiCRkZnDyJBQse7dtn0qKFlqMjhO92Jn9EcmKXHX5iRLcR\nR979t1Ru0yoN2hfchhzdfHyT76lJNorMBkgIIaQ8ycrK+vbtW1lHQSo2MZ0n6tf/0qaNQfPm\nlNWVkKTEjh+ytv/wI+Hanf91mzGoQ/Ram2FvAdjN9pz2eszmqc6LG79d10xqy+38jO+vgu89\nfRv+LSYpLTOXK6+soWdkWqdhsyaWOvR1QAgh0uDn57dkyZIJEyaUdSCkAqPOE8yRkJTl3Ny6\n6VFOi7UBV2aas4EL+emTSt3+m7xin1tM9tzrv6ZZF9HmegxIfX1koavb3uvhKWI+yFYx6zB0\n9v+WjmqqTXvyhBDCKDabLXJlCSF/SrTzRMkkJSVFR0efP39eZNzf31/kXaytrc3MKnlXBQmJ\n3dfHj6PRcG5/86IJk3H37taTb4aEfEcXQ4aC+0/6A7e2bZc9zuCqmzbr3qZlg1q6mhoaqvLg\nZaTGf/8W/uZBwHV/j7H+56/sv31ymCmd1yWEEObkFU+UdRSkYhMqnigxZWVlHo9nbW0tOJiS\nkqKsrCwyU7CPXGUlIQvicrlAbGIiYFTkY7m5uYA0Ghh/9Ji04jG36ayrZ5bbVxe75cpPfLZ7\neK8JZ8ePP9j12ihdcVMIIYSUBiqeICUnVDxRYmw2W05OTuSmHpGHVYeErcvqLVoYIfTAhotF\nGr7kvjvr/RoatrallnH/yk+/K49y9UeuW/2LrA4AS8123JGN/ZUzrp+5mMR0PIQQUpVR8QQp\nOTHFE6SUSDqT1sx1cRe1z/udm3Sf53kh8H0CH7z494+u7Z/fw37BXTT817UT4zufiYmJgLau\nroRQlczM9ICYmBim4yGEkKrMz8/Pzc2trKMgFZuPj8+KFSvKOorKSWKxgeHoExeXdVD/dGn1\n6J5tpnun4c2Gbk3sR666HGM64vi5eXWZr1Ywql1bHm/OHH/x224y2S+9L32EvJkZ0wf+CCGk\nSqPiCVJypVs8QQQVY71N3W7R9dC+Fw8dPB/wOCwqOVtO3dCiWZcBowa3M5JnPkBApvvUSWbH\n1i/t0CZy4fyxTh1sjZQFy3BzUyNfB3nvWr7Y4wnfePKEHlKJiRBCqioqniAlV7rFE0RQ8TZS\nWaqWPSav6jGZ4WB+QabpqqvHYruPOrh7+j+7p7PlNQyMDLRVFGVYmSlJSXFRX3+k5ACQN+u7\n+/y6NnSfHSGEMImKJ0jJlW7xBBEkYSf1+Yqm2tot3N9KJ5hfkqk14MDLTw+OLB/Xp42lemZk\n2OtnTx4+fPzibdjneK6hbachc3deD3lxapQVpXWEEMIsKp4gJUfFE8yRsGJnUdcs/efZp28y\nUaescyauTpPBC5sMXgggl5eaGJ+QymPLK2toqsnTpcSEECI11HmClFR6+pVNm/ZcvDiyY0cY\nG5d1NJWNhMRO3nHJmvZXpi+YOqTFtu4GMtKJ6ZeopRghhJQ1Kp4gJXLvHgYM0PjyRQmAmRmm\nT4e7e1nHVKlISOyib179btvB/P7uHuZXW3ayq6OvIvIEwx6LF/UwYC6+/1BLMUIIKReoeIL8\nveRk9O2LiAgXoCuA7GysXYt69TB0aFlHVnlISuxu7/rfxtcAgM93fT7fLTLBSm8y84kdtRQj\nhJDygoonyN+7fx8REQBkgeoFg2fPUmJXiiRkQbUn+74d8LumYXLatUo1HnGopRghhJQbVDxB\n/l50dN5/04BIwEx4kJQKCYmdrLaJ5S/rkRM/P/8ELuML8nktxaauW21f/VcbrXktxW7qOZ84\nczFp1EhVpkMihJAqi4onyN9r2DDvv0eBbcDzvAcNGpRdQJVQcc+k5fAyM4Slx1+d1cp2gOdn\nRuMDtRQjhJDyhIonyN+ztMTo0QBYBfmHtjbmzSvTmCobyYld9PVFnWupysrKKwhT1Ox/OoWr\noaHCdIjUUowQQsoPe3v7VatWlXUUpMLauRPbt/dt0uS4kRFGj8bjxzCkH9ylSVJil3l1zsAV\n1yOUbDrZN60uD7Z+wy5d7Ns3NVFjg2Pae9XF3cM1mQ5RpvvUSWa5T5Z2aDNuk8/jryk5wh/O\nTY18eXXH5HYdljzhG4+mlmKEEMIoKp4gJcLhYOLEmGPHPu3ejT17QI3FSpuEM3Y5fsdOxSo4\neD69OFIPr5fWtd7fafmVNU3AT3yw2L7jsQgZLSncL0ItxQghpNyg4glSctR5gjkS8rKoDx/S\n0Mihux4AWFjV5Xy+ezcCAEut6dLN47I95u/+IoUgqaUYIYSUF35+fm5ubmUdBanYfHx8VqxY\nUdZRVE4SVuxyc3MBbv4xWa6xsSEC370DDAGwm3doK7/+0tX4aWM0mI+TWooRQki5QMUTpORY\nLBZ9FTFEQmJnWLu2Es5eufJ9ooseYF67Niv64cMvaF8DQGZaWjYSEhIAqSR2oJZihBBS9qjz\nBCm53r1716DTdcyQkNhxuowaZnjQY0KrrveWbNwxpF17WyxwH7XUYkUvndAdS3yylAbVkc7/\nGGopRggh5QIVT5CSk5GR0db+5TW5pCQk9d+Sab3y1Oovw1Zc3HMhdMcQx4nLXbb3OrTE8foS\nAFBquW6eA4f5IKmlGCGElBdUPEFKjoonmCM5C1JrOcc3bHpiZBIXgHr3fU8Cmm08eudTpk4D\nx0nTHM2lsERGLcUIIaTcoM4TpOR8fHw8PT1HjhxZ1oFUQsVc3pJVM8hfMuXotpm4us1E5iIq\nglqKEUJI+UHFE6TkqHiCORISu8zo92HRGb+ZIF/N3Kwas4ULf95SjBI7QghhChVPkD+TmqoW\nHs7V0EDNmgVjVDzBHAmJXZiHY72lr38zwcrt5asl1qUakiij2rXlceLM8Rcz3er/+ntJfkux\nvtRSjBBCmETFE+QPbNiAxYtbp6YCQOvWOHAAtWqBiieYJCGx02zcf9y4CIGB3KyUhB8fn917\nGBav0GiEa+/mHRk/0SbTfeoks2Prl3ZoE7lw/linDrZGyoIFG7mpka+DvHctX+zxhG88mVqK\nEUIIo6h4ghTX6dP499/Ch4GBcHbG/fuQkaHiCeZISOwMeiza2UPMeMan89N7Djz5YPySpcz/\n3kYtxQghpNyg4glSXAcPio48fYqXL9GwIRVPMOcv7waRr+m4ZYOLl/3c1TdGeXRg/PyjTK0B\nB152nHRyl+fZa4F3H4WEvf7vt0WWrLqRbac2XZ2Hj3fpaKzAdCCEEFLVUfEEKa7Pn8UPNmxY\nwuKJ5ORkDqdw8y4zM5PH48XHxwvO4XK5Kioqf/0WFdffX/omU6tWdfx8+vQLOhiXYkC/xExL\nscjISGdn56ysrN/MiYmJAcDn80vwPoQQUklQ8QQpLmtrvHolOmhlhRIXTzx8+LDo4LVr1wQf\ncjgcR0dHwfyvivjrxC7ny5Xrb4HmclLc+2SgpZimpma/fv0yMzN/M+f+/ftfvnyh31AJIQRU\nPEGKb/ZsnDsHwZ+w/fujdm2UuHiidevWWlpav5/D4XCqYFYHiYndd7/16/yiREf5vKQv93zO\nPczk2HTtrMdUaEKYaikmLy/v6ur6+zm7du06d+7cH74wIYRUTlQ8QYqrQQP4+2PBguz796Gt\nzXVxwYIFeR8pYfGEjIwMLRv/ioTELvbu/vXrxV93wlatO2j90RkWDAQlilqKEUJIeUHFE+QP\n2Nnh5s0rFy5YW1vXFLjHjoonmCMhCzIZvj+gXaroKIuroKZrWsdcWzrbsNRSjBBCyg0qniAl\nR50nmCMhsVOq2aRdTakE8mvUUowQQsoPKp4gJUedJ5gjIbFLDrnhH5JUzNdStezYwbL0S4up\npRghhJQfVDxBSo46TzBHQmL3+cTU3r9tKSaIofZi1FKMEELKDyqeICVHnSeYIyGxM+qzelPk\nwvl7Xqs07NW3Z0sLA1VuRmJU2EO/c+eDIxSbjfnXuXZhCy/tlvpMhEgtxQghpPyg4glSclQ8\nwRwJiZ2acWbQ6VDrhbevLW8huMG51P3ttj5tpl7+vGLDnk7KjEZILcUIIaQcoeIJUnJUPMEc\nSWfsvA+ezXHyXtRC9NiaQp3Jq8dvsXXf4bup00AlxsLLRy3FCCGknKDiCVJyVDzBHEkXFEdE\n5GrW1hP7T1hfXw9Znz9HAWZMRCaKmZZihBBC/ggVT5CSo+IJ5khIivSNjWU/+55+kFH0QzF+\nfk/B0dcvg3/ebBkljWqG1Q31tdXkvx2b1KPHQr8id+0RQghhAhVPkJKj4gnmSEjslP+ZNMzo\n3drunf7dH/ghgZc3mPHj1eWtIzqM907RdBr5jxrzQf5O0rtbFy/4qIzoAAAgAElEQVQGf+GV\nbRSEEFJV+Pn5ubm5lXUUpFwKC1PdutV6zx4cPAje734w+/j4rFixQmpxVSmS+m8pddx0weNH\nT9cNI9tsGMmRV1WRzU5JTsvmA1Cydj3u0Vud8RC/ec2a6fX1Vx9NfPUNiN09asB1GQAwcl63\n1rk64zERQkhVRcUTRLzTpzFkiHpWljqACxewYQOCgqAi/nZbKp5gjuTGqor1J3i/7nRp/+6j\nF24/+/A9MUvDoI5J/Vbdh08e381MUQohpr3zP3ny6W+nJD48e/IhAMDKciEldoQQwhwqniBi\nJCdjzBhkZRWOvHgBNzds2CB2OhVPMEdyYgcAyuYOU9Y6TGE4ll+oPfuCX+74Mct9v6o0nbh+\n4xS7aoL7x2FbHBy26rq/Pj5QFQBkVPXKJkpCCKkaqHiCiPH0KRITRQdv3vzVdCqeYM6vz9jx\nk8MDz+zd4vUi87+RlNeHZzu1rGtibGrV0nHKznuxfKmECK5B54U+r54enWgevn1ET5eNdzJ0\nzQoYacoCchoG1fPoqhYvVSWEEPJXqHiCiMH/s4yAiieY84vELunusvbmtds4j5m280F63tDn\nPU6tXdaevff205fwN/e8t01o02pmYIrUAlWuO2jrnTe313WKPzC8YV37xb4fMyU/iRBCSCmj\n4gkiRoMGYo7TtWnzq+lUPMEcsYldkvekPm63fsiZOUxZObmNEgDwrq2c7xfPMu677/GP1Iy4\nl8dGWbBCN03bEibVYHVazTj5/MU5V7NXK3tZ2w7YcCc6R5rvTwghhIoniBiqqti9GzIyhSNW\nVli27FfTqXiCOeI2LiMOuh/7wa4z/fqDDS3y24Xxb589Fwv5Hkt3jGioBcB64A6PwCsddxw+\n9nq+m5U0A4a8qaP7jbb9ds0YOfvf1tdOdK8TB9C5OkIIkRIqniDiDRgAW9vEXbviwsJMHB3h\n4oJff51Q8QRzxKzYpQb4B+ei7eQ5LQqbwL69dSsG3HbOjlr/jci0deikhJD794sclpQClkbj\n8fsfv766uFn01TtRZRAAIYRUVVQ8QX7J0jJx+vSXY8di9OjfZHWg4gkmiVmxi/z6NRfaVla6\nhUPx9+6FAE06dBC4jZhjaKgL/PgRDZTNHcUyRvZLLr0a9uhZRIa6ufiLcgghhJQyKp4gJUfF\nE8wRs2LHZrOBjAyBLmLZdwKD+TBs2dJIcF5qaiogI7ihXgaUTRq3atXKWpdTplEQQkiVQcUT\npOSoeII5YhK76qamskh5/jz8vwH+Xb9rKZBv3aqx4LTP9+//gJyJiT7zQRJCCCkvqHiClBwV\nTzBHzFasXKd/uiqe9Fk/xcPh5ERrZd773SuORELWwaGjXMEc/o/z8zYGQ75bt3ZyRV+BEEJI\nZUXFE6TkqHiCOeKqYtX7rVmz99aUS5NsDVbV0k779DGOB4NRU5zUASDh5fnj5y8d3XngTiTX\nep7bAC0xL1C6kt5c83tT3BINtbr2neuqMhoPIYRUZVQ8QUqu+MUTfD4/S6BTWW5uLgAejyc4\nmPeCtASYR2yfBo7l5At3tRbNXnno+uuPWXL6zYYs2b2la15f2PdHZ05c8wEsVdvxe88vayaF\n39q+nJred+nrYk62cnv5aok1o/EQQkhVRsUTpOSKWTyRlJT08+fP8+fPi4wHBgaKjFhaWtav\nX7/U4qvIftWAS6HuwHUXBq7jZ2flcGS5AkmwfsepK/TUGtv37FxX89f9yEpTHdfzAWaH1i5a\nfekTD1otRgxvqfnryfotqXyaEEIY5Ofnt2TJkgkTJpR1IKQC8/Hx8fT0HDly5O+nqaioqKur\nN2nSRHAwMzNTTk70GJiysjIIgF8ndvlYXFmRGYadpy7ozFw8YnDUzdoNWdamIdfGyu2Vnv3s\ndUsspfr+hBBCClHxBAGAr1+xdGkLf3+OhgaGDsXkyfiTWzKKWTzBYrG4XK6GhkYJAq1yJCR2\nQmJDgkJilWo0bFBDkbF4fold18nR0u2V9N+YEEKIACqeIPj+HY0bIzpaGcCnT3j6FI8f48iR\n4r8AFU8w5w92U7OvL2zduvXQfeGSpzLConmX+lbm1agKlxBCyhAVTxC4uyM6Wmjk6FE8e1b8\nF6DOE8z5kxW7Msbtvul597IOghBCqjgqniB4+lT8oK1tMV+AOk8wRzr1D4QQQioJ6jxBoKtb\n3MFfoM4TzKHEjhBCyB+g4gkCJyfREX19tGxZ/BegzhPM+YOtWLZRCycn1Kirxlw0hBBCyjkq\nniDo2xeLF2PVKvB4AFCjBo4ehbp68V+AiieY8yeJnd2/XnbMRUIIIaQCoOIJAgBLl2Ls2Gf7\n9mmbmFR3coKCwh89m4onmFOsxI6fGvHy+buouKT0bL7Ih1QtO3awVGEgMEIIIeURFU+QfIaG\nMc2bKxob/2lWByqeYJLExC798eYBznN9PmWI/zC18CKEkCqFOk+Qkitm5wnyFyQldi9WD57u\n80Wzfu/h3Wyqq8txRD+u00qPocgIIYSUQ1Q8QUqOiieYIyGx+3bDP5TdeM294NnmRXI6Qggh\nVQ8VT5CSo+IJ5ki47iQzMxM6ze0oqyOEEAKAiieqJj6fGxpa7eVLRESUyutR8QRzJCR2Nayt\nVWPevYuXTjCEEELKOyqeqHK+fkXr1lpt27ZZtgw1amDiROTklPAlqXiCORISO5kurtPqBiwe\ns/99pnTiIYQQUq5R54kqZ9Ag3LmT/+fcXOzYAXf3Er4kdZ5gjoQzdj8fPFVq0zxl+0ibR57d\nOtpUV1PgCqeC+vYz/7Wn+glCCKkqqHiiavn2DUFBooMnTmDevJK8KhVPMEdCYhflt27u9tcA\n8PnOmX13ik6wUh5OiR0hhFQdVDxRtYjdMC3xSTsqnmCOhMTObOzJhz3SfzNBwcCsVOMhhBBS\nrlHxRNVSty64XGRnCw3a2JTwVal4gjkSEjt5A6vGBr/6YOLn55+gKF/aIRFCCCm/qHiialFW\nxvz5WLascERGRujhX6HiCeZIKJ4okMPLzBCWHn91VivbAZ6fGY2PEEJIuULFE1WOmxt27+bZ\n2qZraqJrVwQEwK6kneOpeII5knvFRl9fNHjs5hsfk3PFPb2bBjWKJYSQKoSKJ6ocNhtjxsT1\n6hUYGOjs7FwqLym2eCI3NzckJOTz58IFo6SkpIyMjHv37glO43K5DRo04HKL1ey+CpL095J5\ndc7AFdeT9Bp0aiETcvtBpEbDzvW1s+LDnjz6mGLSe4XHluGaUomTEEJIuUDFE6TkflU8weVy\nZWRkCh4qKyvLysoKjgDgcDj0q8VvSEjscvyOnYpVcPB8enGkHl4vrWu9v9PyK2uagJ/4YLF9\nx2MRMlrF3cstJfzMuK/hH7/FJKVl5nLllTX0jExqGqjKSH4iIYSQ0kDFE1WBXGwsh8klMbHF\nE2w228zMzMDgl0f7SXFIyMuiPnxIQyOH7noAYGFVl/P57t0IACy1pks3j8v2mL/7ixSCBIC0\nd97/G9mpTjVVLeO6je3aduhs36l9m+a2tQ3V1fTq2Y/+3+k3yVKKhBBCqjIqnqjkLl9GrVrN\nnZ3rtGqFVq3w5g0Tb0LFE8yRkNjl5uYC/y15co2NDfHu3bv8Zzbv0FY++NJVabQb++E7oaGt\n48L9/iEJCiYNWnXs2st54JAhA/s797Jv1cAw+901z4X9bCy6bHqWJoVgCCGkKqPiicrs1Sv0\n6YOPH/Mf3rmDnj2RlFTq70PFE8yRsNBqWLu2Es5eufJ9ooseYF67Niv64cMvaF8DQGZaWjYS\nEhIADWZjTDw9cfDOUOW28/a7T+zeuLqyaDLKT/9yc8+88bOPTXdwrRe+uyNdwEIIIYyh4onK\n7OBBZGQIjYSHw88PpVQzUYA6TzBHQmLH6TJqmOFBjwmtut5bsnHHkHbtbbHAfdRSixW9dEJ3\nLPHJUhpUh/Gbo1N9j3onqw484Luyj/gKXJZCjfZTj1zJ/VJ7+oHdvls79pVjOiRCCKmyqHii\nMnv/Xszghw+l/j7UeYI5kmofZFqvPLW6h8EPvz0XQgGLictdDOKvL3Fs3tBu2J7Xsi2XznPg\nMB3i94iIHJjUr//7e1VYJh071AIvPLwcn/zg8+HlVXPVqpqrVsHLC3w+AERHy27a1NDTk7tl\nC+L/29cOCKjh6anr6YnHj/NH0tLkLlwwv3SJde0acv+7eSYiQicoSOnuXSQXHjDkfPumERaG\nxETBd5ZJSmLxeEx/foSQqoCKJyqzOnXEDFpalvr7UOcJ5kiueVFrOcc3bHpiZBIXgHr3fU8C\nmm08eudTpk4Dx0nTHM2Zr4rVNzBgwf/BgziY/e5qlZ/Pnn0Fq321cvyFMmgQTpyolvfn8+cx\nYABmzkTHjvKJiWYA/Pywbh0CA7FmDfbvz/9FZscOLFmC3r3RvbvK588NABw8iObNceUKtm3D\nsmX1srIAYNEiHDwIKysMH657/bouADc3zJqFZcvg44MZMzqGh/M5HPTujS1boKmJdesMDxzQ\nj41FixZYvhyNGuHHD6xd2/L6dcUaNTB+PBwcAODhQ+29exWiohAVhcGDweGAz4e/v/nFi/Lx\n8Rg4EMrKAJCVpfD2rWp0NBo2hEph/s1N/10zOkJIBUXFE5XZmDHw8BBaGqhfH126lPr7UPEE\nc4pZzCyrZpCfMHF020xc3WYicxEVoegwoKeqz7lJDjNYOxb0baBVNGR+4pszK8dM80lX6Nqv\nh5oUQ/sTvr44cUJo5MQJ3L8v9O8nJgbOznj1qnAkJwdLl+LwYQhc2IjgYPTvj6tXC0e+f8fA\ngbCwQMEtjpmZWLECmZnYtAk8HgBWTg68vBAZCTMzHDqUf0PM5cu4eRO+vhgwALGx2gCeP4ev\nL1avhpwcZs7UzMnRzAt+1y74+sLREYGBNgAOHMDSpfDxQWoqhg0zzTtpu2AB1q/HqFHYto27\ncmWfqCi+mhqmTMGiRcjKgru75dmz/Oxs9OiBBQugoYGYGJlduxrfvCkTGorx45G3BhAVpRkQ\nwJGVRY0aKFgVyM2VF16DJISUFT8/vyVLlkyYMKGsAyEMMDHBtWuYPp0fHMznctm9emHDBsiX\n/tF1Hx8fT0/PkSNHlvork+IldlmRd7yO+95++u5rbHL1IQd3Nbq7/onpiEENNKVy8lFrgMeR\nwA/9d2wc1HDbpFq2jW0sahpoqyjKsDJTkpLivoU8ffD03c9MyNUadniPS7ndHwgKEjNYUHlU\n4O1b0ZHsbPxXiVwoMFB0JC4OwndzA8CBAxDZgb17F3fvCo2kp2PsWMTGCg0uXAgWCzk5Qk/s\n2VPouRER6NcPSUmIickfSUzE+PEIDcXatXkDrMRErFiBlBQ8fIg7dxTzRkNDcfUq9u+Hvb1M\nfHwtAP7+2LABN2/izh3MnFk7b6lv6VJs24b+/bFokfq2bb3S0zFnDubNw8yZSEvDxo31fHw4\nysoYNAgjR4LNBo8nGxRkfPs2zM1hayv6V0EIKSVUPFHJNWmCoKDA69c1q1Wzrl+foTeh4gnm\nSE7sssNPjOg24si7/8pkbFqlQfuC25Cjm49v8j01yUaR2QABgGXY0yP4RY8dazZ4ng96eC38\nofCH2UrVmw8YPn3h7H5W5bi/WemeNc7bgZWomKtcERGiI9nZYqY9fy46UvREbXY29u4VHdy+\nXTS/fPUKffsWnikEkJCAQYPw7l3hWycnY+xYXLuGI0fy//XHx2P2bLBYOHwYL17kF2MHBODG\nDSxZgn/+0QgJaQpg2zb88w9OnsT791iwoM3t21BRwcCBWLgQyspISVG4fLnms2fQ1UXz5r/6\nKyGE/AoVT1QqX7/Ke3g0efCA/ekTxoyBRv53Vr6MDNgMnrWi4gnmSErs+CFr+w8/Eq7d+V+3\nGYM6RK+1GfYWgN1sz2mvx2ye6ry48dt1zaTSrk3ZzGHWHodZezJjQl+8+RIdF5+QymPLK2vq\n1axtVcdEo/x/k+nQAUXv7DEzEy1BsrAQcxukqqroNUI1aiA8XHQai5VfkFFASwtRUZJjU1BA\nZqbkaWKzvaISEkRHxNZtCG4u53n7VjT+zEzR/WsAq1fj50+hkePH8egRwsIKR7y9MX06jh9H\nQoIsgPh4rFmDFy+waBGcnbUjI7UB7NgBR0ecOoXPn7FsWdubN7nVqmHECIwfDw4H6ekKd+/q\nhYbCwgK1ahXrEyekaqDiicojMBDduimkppoAuHED69fj7l2Ymkrhnal4gjkS8vGcm1s3Pcpp\nsSrgyroxXRuaauZfJKJSt/8mr1XtZN577vXP+f0rlDI+OArKykoq6prV9A2rG9WsVcukegXI\n6gC0b49Zs4RGZs3CqVMFvx4BgK4uzp5F9+5C06ZMwa5d4AhUHysp4dAhGBkJTXN2xqRJQiNc\nLhYvhnCLPbRsCSsr0dg6dxYd0deHXJFbY8zMREcUFERHAKHPKA9HXOl0MRfhi2aTcXFipglm\ndXlOnBBNMS9fRp8+EDyue/485sxB48Y4fFj561f5x48xeTKmTMG9e7C0NHBxafC//6F2bcyY\nAQDJyVi7tvGmTWrLluHZM6FPJUe6/woIKVNUPFF5jBiB1NTCh9HRmDJFOu9MxRPMkZDYfX38\nOBoN+/YXU/xq3L27NRJCQr4zFJmIytBSzN0dwcHfJkz4NmECgoPh7o4GDfDuXcaKFWFdu/LW\nrUPe+pCPD44d+96rV+yAAbh0CVu2YMAA3L2bMWjQdxsb/tSpePMGdnZ4+BCTJiWbmaU1aoR1\n63D0KNavx6pV2SYmPAUF2Nnh6lWMH48zZ/ISMj6Xi379cOYMzp5F48b5IcnLY/lyHD2K3r0L\n49TTw+nT2LQJgo0CO3SAlxfUhGtTtm1D27ZCIwYGcHUV/cT79RNNAWVkUPTohtiFMZkijYBV\nVcVMKyolRczg9yJfrkeOiG5Y79iBPn3w5b9meTk52LgRmzfDygqzZxvdvq28ezcaN8aRI4iO\nxrBhFs2ateveHa1a4f79/KeEhBg+eMB98qTwYhpCKhHqPFFJRESIOU4TFCSdb1zUeYI5ErZR\nuVwuEJuYCBgV+Vhubi6QWZwtvBL74Tuhbf+doekAV82kQdNaupoaGqry4GWkxn//Fv721TXP\nhdcObrdfe+mcq60UzvyVQLNmkSwWgOpNm+aPaGtnTZny1NzcqFcvmbzKIzYbAwe+NzJSVlbW\nLigCaNo0ZfPm2zduODs7s/LOPejqYtu2hzdu6Onp1a1bN3/a3LnRLi7BwcF9+vTJH+nZEz17\n+nt51bS2Ns27i0hPD/fvRwQEfH78uOXYsVBXB4CzZxEc/OLgQQMbG+1Bg6CqCjs72NnFenqm\nRkQY9++PPn3AZuPNG2zY8N3fX83SUmHKFLRsCWdnrFiRefo0Pz1dvlMnrFgBY2NwOFi9GsnJ\nkJPDuHFYvRq9e2PcuPxDdcrK2LgRdnZo1w7R0flx6ujgzBmMGlV4dR+Atm1ha4vNm4X+Dvv3\nx+7dQiMKCsjNFd1N1tFBcX4dFNsqp2j+t349vn4tfJiTgwkTYGWF+/fzf+e5cwedOiE4GMuX\ns06etMt7SuPG8PKCsTH8/AwPHqyWkoJv39C/P6MnVwhhGhVPVBJi91LY7OJup5QMFU8wR0Ji\nV71FCyOsO7Dh4tR93YUvkct9d9b7NTSG2TJ/+JFaipUYT1mZL7j8xmbzTE3j0tPzs7o8zZt/\nio5Wt7UtXBKrVy9u4sTPnz8bF+zVGhhg3bogL6/WrVsr6OoCgKoq3N3DXFx+/vzZtmD1bv78\n7JkzL+/b16pPH41q1QCgb1907vz+2DFeRkYdFxfkHa0IDc3y9Px844Zx+/ayo0dDXR03b8Ld\nPdnbm8XlKvfpgxkzwGZDXp6/dSsrLQ1aWpg7F//+Cy0tuLvnF+0qKWHXLsTFYerUws9FXh4L\nF2Ki8LU8NWogKkr0wJ+2tpjakaIKKn8LpKQULtEVjAwfjkePCkcePcKQIWjSBBs35p8l8fHB\n4cO4cAFv33LXru1w/77i2bOYMQMFiT4h5R4VT1QSenqoU0f0Koa2baWT2FHxBHMkFT40c13c\nZc+Y/c5NfrjOn+CQnMAHL/79o2uBZzcuXX8XDVe4dmK8dIJailVIbHa6pqbQRqq6elLz5pmZ\nmSg4MKuunj1hwlMjI4Pu3WWVlABAWRnLlr12cJCRkWnUqFH+tNWrE2bPvn3unIOLi0zeC65c\nCReXd/v2KWhpGQ0dCgMDADAxydy6Ne3DBw07O8ybB0tL8PmYOze/LYe1NQ4dwrVrmDOnMCRN\nTbi6ip59NDISWpzLo6go2j9RrKKFL0FBojfdXL6MRYuwdi2Hx9MGEBICLy94ecHODm5u9X19\nweeje3csW4a81BlgU9cQUp5Q8UTlcfAgunQpvKCgRg1s2yadd6biCeZITMsMR5+4GOXkvOTS\n6tGXVgMANnRrsgGAYp0Rx8/Nq8v8ntKftBQLCg//BkijoodIFYuVqSL8BWBp+b1HDw0NDaO8\nrA5Ajx4JTZrcvn27b9+++SMTJ2Lo0IcHD2qbmJh07QoOBw0awNo6bceOtE+ftDt1wqxZMDDA\n9+/YvDm/SsPcHCdOYO9e7NhR+F5aWujdW/QaF3V1MfW/xSwc3r1baOEwJweTJkFTE69eyRVM\nCAzE/fvYuVN540bnqCh+9eqYNQtTpuT9Ms1NTqbdXFJWqHiiAgsP17l0iSsvDx0dGBmhSROE\nhqbt2fPt7l2zHj3YQ4ci73ds5lHxBHOKsd6mbrfoemjfi4cOng94HBaVnC2nbmjRrMuAUYPb\nGUll07PytBQj0qeikmhpqWpkVHiaxMHhZ716T548+eeff/JH1q3DtGmP9u41rF9fv2dPyMpi\n2zbY2KQfPJj944dKhw5YtAiamnj+HA//u0JRVRWHDmHmTKG7o2VkYGWFp0+FApCREXPbS9HC\n3shI0ROBb99i6FB4e+dtirC+fcO0aeDz0bgxJk1q9vw5WCy0bg0Pj7wyZ3ZsrMbHj0hMFFOV\nTEipos4TFdWaNVi0yCzvO9L//odNmzB2LHR0MidMeGZmVqtPHzZXKreXAaDOE0wq3v9Flqpl\nj8mrekxmOBjxKklLMVKeGRn9aNpUq27d/Huk2WyMGxfZqdO7d++6deuWP+fePZw/H3LypJ6N\njfrIkdDXh7k5Ro/GnTsAoK+PLVtgaIi2bYUyuWnTsGmT6EqevDzS0oRGit5BCODKFdGR1auR\nnp5fxsvn4/ZtODjg1i3MmqXh5dUZwKJFmDIF7u7gcPDzp+bjxwoGBjAxEX8xDSF/hYonKqTA\nQMydW/gwPR2TJ6NlS1hbl0k4OTk5AO4JN0zKzc0NCQn5LHzLqZ6enomJiVSDq+Ckl57/vcrR\nUoxUdBwOnJzestkqTZuq6+sDgKUlgoLe3bkTGx7ecvDg/FrXe/ewcmXy/ftypqayU6bA2Rka\nGli8uLA/m4sLsrNx7JjQi5uail5VDYi5Nbpoue6XL+jbt7Big8fDhg3Q0oKSEubPt8lLH2vU\nwKFDeRfTsH/8UPv4ESkpUFYuyV8GqcqoeKJCunRJdITHw9WrZZXYOTo6GhoaKgnv/Oro6Kiq\nqnKEy3XlGehUW7mJSew+Hxk/7sinYj6/5pBdO4cYl2ZEYlSKlmKkksrR1EzPyCi8waRRI76X\n1+XTp9u3b59/wHz+fHTpEnXgAC8pqYaLCzp2RFwcPnwoLKq1soKHBxwchG4KVVAAiyW6sCcv\nL6aGQ/CCmDweHkKlvnnJ382bmDVL99IlXQALF2LuXNBVZOSvUPFEhVT0TDAg1NdRuhQVFQ0N\nDesz1ou2KhOT2CW/D7p69XUxn2/VXEr3Alf4lmKkKmvUKJrLTUpKqtG6NQBoauLuXd716y+8\nvCy7dlXq1QtcLo4fx9ix+Wty1aph504EBmLjRqHXad4cN2+KvnjRPdyiC3sxMejfH69e5T/M\nyMCSJdDTQ+vWWLiwbWAgW1MTgwdj1izatCUSUfFEhdSkCXbuFB0su4uWqHiCOb/ZilUwbNSp\n1z+Ojj3aWmhyiv7syCOrbshMYL+Q31IsPZclq8qVV9bQM6ooLcUIEcRm57Zt+yEhwaxjx/wO\nHz17Ijz8zcmT/NxcqwEDoKgIBwfk5GDHDvB4kJPDtGkYNw6NGwv9km1igogIZGUJvbiysmg7\nDaAwqyuwaxfmzEFiojyA2Fi4ueHVKxw5gk2b9A8c0P3xAy1bYtkyNGgAAJ8+6d2/L8fjQU8P\ntA1XtVHxRMUQHS2zc2fjW7dkQkMxfjyGDsWePQgOLpzQrRt69iyr6Kh4gjliEru6M7wDzM+c\nPXvm3JULOx777limbtG2l1MfJ6fe9g31y2yrO+2d98bVW4/4BobECv8MYynoWrXqMWDMjKl9\n69JOLKnQFBRSraxyc3OhqAgAcnLYvDl50aLAY8faDxumkNfP7coVTJ2Khw/5LBarQwds24Yj\nR7B8udDr2Nvj9GnJbxcaKrrVe/o0srNx7lx+4nbhAvz98eABdu2Ch0eTvEZDFhY4dQoWFti4\nscbRo4ZxcWjfHkuX5jcOf/nSKDBQFkCvXmLawf0hVni43rNnbAsL2NjkD928Wf3QIRaHg4wM\ntGoFPh/79qls3Ng7PJxrZYV589CnD6KjsWxZwytX2PLy6NsXs2bl/32SUkLFExXA8+do1042\nIaEWgBs3sGEDbt1CQAC2bEk4c4YlI6PWvz/Gj5fOXcRiUecJ5ohJ7Niqpu0Gz243ePbmtG/3\nL589e/bs2QtHV/ofWjlZuWZLBycnJ6c+Ds2NlaX5P6TytBQj5E/JyaUILpI1bYrg4GB/fwUV\nFZu8bRQ3N2hq5mzdim/fONbWWLAArVvjzh2h+1M6dYK/v+imrdjE69w5oYfp6Rg+XOgYX2go\n+vaFjQ1On86/de/oUVy+jEePMGcOTp9uCmDzZlha4tw5VK+OVatMT5+ulZKCzp2xfDlq1MCr\nV2x394737ikfOQJXV3TogB8/sGCBta8veDzY22P1amhrw0MkEEoAACAASURBVMVF/ty5NgBW\nrUKPHjhyBPPnw8Mjf49g717MnAk9PcycyQE4AB49gpMT9u/H8uUID88/kv36NYKCcPUq2Gxk\nZ8uLPWZE/hAVT1QAY8YIHapLSMDYsQgOxuzZb1u3lpOTa9iwYdkFB1DnCSb9riqWpVi9udPU\n5k5T3bOin18/f+bM2TPe59bPOLV+hrxBoy69nfo4OfVqU1tdXLe5UkUtxQgRliMvzy/4ycrh\nwNU1YehQf39/Z2dndl4ZR3AwFi9Ov36dpaIi368fZs/GrFnw8Ch8CS4Xtra4dUvym4WEiI68\neyd0gR+AuDj07194z1/es/r3h64url3L/xd56BCuX4enJ3r1YvF4WgDev4evL/buxZYtePEi\nP808eRL37qFtW6EU88IF9OmDGzeE3nTdOjGXqc6eLdr/7fp1nD8Pf3+dvXt7ZWVhwQIsXowp\nUyR/4uQXqHiivEtNxZMnooOPHiEtrfysXlPnCeYU77oT2Wo2DmNtHMYu250Qesv3zJkzZ89f\n3T7fe/t8mWZrXwfPNGc0RGopRsgfMzLC/v3BAQG6urp169YFgA0bYGCQs3s3oqI4DRtiyRJk\nZIgmdoaGxeqcK1bRdmovXoiOREZi7FjRG5unTRMqBwbw5YuYreTbt8W8qcgTAcTGipm2YgWe\nPmUVTJg6FcrKGDFCzExSDFQ8Ud6J3eJkscpw47UoKp5gzh/2JeKo127erkOHDu1bW+uwAfBS\nUopctVXa/qSlGC88nL7dECKOnBwWLIgODvY+cQLBwejaFY6OcHcvLIO1soK3t5hLrerVEx0R\n++Oh4KK+3yv6rbxocgaIudVFbLs2dpHvYGIXJJ49Ex3Ja4gZFGR86pT6iRP49ElcrEQ8Pz8/\nN7orp7zh8eTDwxU/fEBWFhQV0ayZ6ITmzctVzbuPj8+KFSvKOorKqbiJXU7Sh1vH3Kc6NTfS\nNm7hPG2dV5h6m8Fzt547MtGC0fiQ31Ls/YMHRbowCctrKVaNWooRUnyzZiEi4sG6dV99ffH8\nORo1gpcXCg7fyMpi8WIcOiR6m/GkSTAyEn0pKyvREbHtiYp516i6uuiI2FZp7dqJjhR0iiug\npCTmRpiwMAwZgtatzXbv1lu6FHXr4siRYgVGqHiiHLpxAxYWVv361R8yBLVq4cIF7N2LatUK\nJ1Srhj17yi4+Mah4gjkSEjvezzd++5aP625roGPWbvCcrb7v1VoPX7zrwvOo6HcBR1ZNdrSt\nVtLCN4kUHQb0VE09N8lhxvGnP8X2WOcnvvGa02uaT7pCF2opRsif0dCIt7bOtLTMb6drYYGH\nDyOvXr27ahUiIrB0KczN8fgxhgxJMTLKbN4cu3dj82Z4ecHMLP8V5OSwYgX27xddD1i4EEVP\nYnXsKDrStKlo0iYvj4ULRadt3IhBg4RGRo/G2bNwds5/yGZjzBjs34+tWwvX7XR1ceCAmIU9\nTU0cPVr4MD0d48aBtheLx97eftWqVWUdBfnP169wcsLHj/kPIyLQvz/YbISGZq1b987BIWv9\nerx7B0vLMo1SVO/evZcuXVrWUVRO4s/YZXx/6nfuzJkzZ3xvhcRnA3K6tp3HTXF2cv6nvaWG\n1LuQUUsxQqSJzeZZWMRlZaHgaHPt2jh8OMDX18bGJr+QrWlTvHr19cKF6NDQRqNH568NPH2K\nlSsTgoIUTEzkJk1C795o1w7DhiGv86OyMtasgYsLHB3h75//ytbWOHECnz9j1CiEhwOAnh52\n7ICjIywtc93dM1+/lrW05MycCUdHDBuGvn1/HDvG4nCqDRmC7t0B4PTppJCQR15erUaMkDU0\nBIDJk9G//6uDBxXV1WsNGABlZQwfjn37hD5HXV0I96NEWhqCguDoKB8YaHT/PkxNxexBEwBU\nPFHeeHuLdpVIS4OXFxYs4I0f/8zIqHqPHrLlpmaiABVPMEdMlha+rYPNtICUXLAUDJv0nOzk\n5OzUs7Wp6h+exitN1FKMkPJHTi6jfv2fKiqFOz4WFjh40P/MGTs7Oz09PQBo2xYhIeHnzydH\nRdkMH56/Mnf9eu7du4+OHq1jb6/SvTu4XJiYICTkrbd3VmqqzcCB+Xe7dO+e2aGDr6+vg4OD\ncsFesKPjJ319DodTrXHjgkBy9fRia9cWWh3U0Ylv1ixXTS1/E3nrVqiq8nfvZqWlQV8fbm7w\n9RXzGYWEwMpKOzxcG8DmzRg4EIcOid9QrtqoeKJ8+fJFzKDI7y3lDxVPMEfM96y02OiUXICl\nYGBqgG/BJ9cFHlmdk/uL1hPmE8+fm2gm9kOli6GWYrGxsa6urlkiF/cLC89bSCCE/AV5+fR6\n9eL19AT3W/nNmn369s2sdevCtElGJsPUND09nZG2FoqK2LgxZs6cu5cvO+YVw8bG4uJF0WkH\nDgj9ODx+HNbWmD+/9OOp4KjzRPlStODpV4PlCXWeYM6vfxnlp0e8eij55oPoIsVrjCrtlmIy\nMjJaWloZRUvwBCiWv0VsQsgfY7OzCu69mz4dp04JXcgyYgT27xd9irc35s8Hny8fE8MuWi9S\nVVHxRBk7fJi7alXfd+/4RkaYOhWjR2PNGqH7hmrWhItL2cVXLFQ8wRwxiZ3Vwifpc3OL+Xw2\nV0qXxjHUUkxNTW3z5s2/n7Nr167AwMA/fmlCSLmlqIjgYOzYEe3tLaejozZsGJSVxSR2P3/i\nyBHMnNnhxw8A6NEDO3agenXpx1uuUOeJsnT4MFxc8hIi1qdPmDEDSUm4dg3z5/MuXEBOjkzX\nrli1SkxdeTlDnSeYIyaxY3Fl5cvZqRJqKUYIKWUKCpgx46WNjaGhoZqlJeLiwOWK3pZXvTqG\nDi18eOECYmIQFFTFD95R8URZWrlSdMTdHQsW4MCBF48f83i85s2bl0VYf4yKJ5hTEb49UUsx\nQgjTNDXh5oZFiwpHVFTEXHd8/z6ePkWTJtIMrbyh4okyk50t2s0PQFoaPn0qvH6ogqDiCeaU\nYa1rceW3FNvpu7J/06JZHQpaiq1uxY06sNuX8U4YhJDKaeFCnD6d0alTvLk5Ro/G8+f4/l3M\ntPfvceiQ3ogRLWfMwOTJYnppVHbUeUKqwsK0Tpyofvw47t8HlyvmbnAZmYp4PIA6TzCnAqzY\n/UlLsaDw8G+AqZQiI4RUMs7Osc2bP3r0yNHREQDq1MHTp6JzLl7E0aOKgCKA0FCcOoVnz2Bg\nIPVYywwVT0jPjh1wdTXIu7dh506MH4+RIyGSVQ8aVNyGLmUnKyvr+fPnr1+/LhiJjIzk8/kX\nhYvT2Wx2mzZtlAqKnMhfqQCJnb6BAQv+Dx7EwUzzN9PyWoq1p5ZihJDSMnUqTp8Gj1c40qqV\nUMsKADExWLECHh5SDq0MUfGElISGwtUVgrdx7dyJEyfw77/YsgU8HlgsDB2KrVvLLsTi4nA4\nBgYGWlpaBSM1a9bs3bt3rVq1RKYplKeGthVUBUjsFB0G9FT1OTfJYQZrx4K+DbSKhsxPfHNm\n5ZhpPukKXamlGCGk1DRrBl9fzJ7Nf/mSr6jIHjgQdnYIChKd9vhx3n+5GRli+tJWOlQ8ISU3\nb6LoHavXr2PPHt7ChTc8PZs5OanXrFkGgf05Doejo6NTUzhaq6INpklpqACJHbUUI4SUmS5d\n0KXL1fPna9erV8vUFAEBYuZoaeHkSSxY0OPDB76iIoYPx6pVUFWVeqxSQsUTTImPx86dzS5d\nUr55E5MmIS1NzJy8QSWlRCMjvloFXshIS0uLjIw0q2g1HxVCRUjsqKUYIaRM5crKIu9UWZMm\nMDAQLZgwNcWAAXl/ZKWlwcMDP37Ay0vqYUoJdZ5gxNevaNIEP37UABAUhD17sHy5mGktW0o7\nMGYcPXp027Ztz58/L+tAKqEKkdgBjLUUI4SQP6CsjJMnMWAAIv7ryzN+vJgbKM6cwZcvqKT3\nr1LxBCNmzEDePdh5eDysXYuxY7F7d+Fgy5YYO1b6oTGBxWKx2RXgXo6KqMIkdgCyE8KfPfsQ\nDw3Tpl3aqhWJPPXr05cRnOo29avT0UtCCGNatUJIyHcvr++vX9uOGgVLSxgbi5kWGlpZEzsq\nnigdiYnKAQF6X77A2Bjm5rhzR3TCz5+YPBn29vGHD2cnJ+v06YOxYyEjUxaxlj4XF5euXbuW\ndRSVUwVJ7NLeHpo9bu6ewKi8g6Syhu2nbTuw0rGGYPhvt/dusUbZ7eWrJeW9+TEhpGJTVk5r\n0yayWjVbS0sAMDfHly+ic7S1MXGi2alT5qmpaNUKa9agYUPpR8oEKp4oBX5+GDLEMCbGEIC7\nO6ZPh9hcWU4OTk7fateOj4/XadNG2kEySVZWtnoFvH6vQqgQC6HfDvRrPWx7YJRsjcYduju0\nta6GiIC1Tm1Ge8eWdWSEEIKJE0VHunXD9OnYsYP78ycnIwPXr6N9e3z4UBbBlT4qniip2FgM\nGoSYmPyHOTlYtw4mJqLTjI0rXD+J4ktLS3v//n1ZR1E5VYTE7sGWxRd/ytSb7Bf24aH/hYs3\nX4Y/OzjAhPX54IgxR6PKOjhCSJXXpw/27EHeIhaXiyFDMGECbt0SmpOUVCHuGysO6jzxN27c\nMPXxUTx7FnFxCArCz5+iEzQ1Ua9e4UMNDRw9isp7Cu3o0aNOTk5lHUXlVAG+aCKDg79Cod+y\n9Z318ndeleq4HPJe2kA2/vy0aWfjyjY6QggBRo9GdPSVvXsjQkNx+DDELmj9d+0+Nz1dqrGV\nNiqe+DOZmejSBR07Wu/bp+XqCgsL3LsnZlpyMh4/xvHjb52cktaswbt3sLOTeqzSQ8UTzKkA\nf62pqamAQc2aQucPZOrN2T/flvvz9IyF/uKu+iGEEGnL0NLi552UEltOUbMm9u6FkVGf4cN1\nTE0xcyYqZoZnb2+/atWqso6i4vjf/+DnV/gwNhb794uZ1qgRZGQwYMCr/v3Thw2DdiXvouTi\n4uLr61vWUVROFSCx0zc0ZOPr48cxwsNcm7m7plmwP+8cN/dmctlERgghYrVpA1PhptVcLvT1\nMWZM3mIeKyUF69dj6tSyCa9kqHjid3JysGuX/qBBbSZNwogRCA/HlSuic2Ji0KuX0IiREWbN\nklqM5QEVTzCnAiR2yt0cO8plXZnbf7nfpzTBbj1yTZftm2HB/rDVufuy27GVv48PIaSiUFaG\ntzcaN85/qK2N/ftx+bLotH37kJQEgMXjcTIypBvi36Piid9xdcX48fLBwSqfP+PAATRqhDhx\nB4amTcPu3al2dolWVpgxA48fQ/N3zdArHyqeYE4FSOygM3zbFgeduIDFXUy0dc1tBnoW3Cug\n2HLleY8eunGBbu1N64w9W+QwKiGElBErKzx8+MHfP9jTE5GRGDIEoaGic3JzERAABwfrZs1a\ndumCJk3En74qZ6h4olBWFnbtqrd5s9aaNXj4EB8/Yts2oQkJCWIKIOTk0LAhxoz55un5cNMm\nrF+PqrcCSsUTzKkIiR3Ytcf6vri9a9aANsaycWFvvwkcqpOxHHv+kd8aFzvtyOdhKWUXIiGE\nFMUzMEg1Ns6/VLbo1RUsFmbOxOXLrJwc8Pl49AhduyI8XPpx/pGqWzzB53M/fNB+8waxsQCQ\nmoqmTTF+fPWrV9X37EGLFli5Usyz5OSgqys0snYt1NWlEXA5RsUTzKkgFxSDrWc31t1urDsA\nvsimK6d6p9kHO83eHfPuxev3idq0Z08IKZcmTcLo0UIjrVohMFBoJCkJ+/djzhz2vn0Nrl6V\ne/8eY8eWt3P0VaXzRHa24tevXDYbdeoAwKdPGDxY9+5dXQBLl2L6dMjIQLDVaU4ODh4U8zrV\nq+PmTWza9OPKFWVTU6Xx49GunVQ+gXKNOk8wp6IkdgJ+8ZuinE7tJu1qSzkWQggprlGjkJyM\nZcsQH8+XkWGNHIlq1UQTOwBPnsDSkhsRYQ7g0iWsW4dr19CoURkE/AuVs3giJ0c+MbHw4fHj\ncHVtER0NAE2awNMTo0fjwYP8j/J4cHcXswTL46FaNeQ9q0CfPtDSwvLlwY0bN2zYUMnIiLlP\nogKh4gnm0EIoIYRIi6srfv703bEj5uNH7NwJKysxc0JDERFR+DA+HiNGSC3A4qhsxROpqZgy\nRbtmzV5jx7KqVcOWLbh7Fy4uhfnZw4fo0aMwqysQEyM6AmDePNSqlf9nDgeurqLLtFUAn8+P\nF5abm5uamio4EhkZ+fq/mx1J6aqAK3aEEFJxsVjpmpr5p+66dUOtWkKH6pSVERkp+pSXL/Hx\nI3btquvtjdxc9OyJBQugoSG9mIX5+fktWbJkwoQJZRVASd24YXzkiIyyMkaMQIMGmDIF+/fn\n7wTFxmLaNLRti+xsoacU7QUMcdtHSkoYPBgTJkSdOxf5+nWjUaNQsyYDn0C5lpqampmZee3a\nNZHx169fC2Zy/v7+N27cCAsLk250VUIFSOxy0hLi07IlzwMAcBU11BU5jMZDCCGlQ1UVly5h\nwgTcvAk+H9bW2LwZPXuKmdmnD549U8z78/r1uHYN9+9DXl6q0f6nYhdPDB+Ogwdr5P3ZwwOL\nFok5GPfkiZgnsliiJ7xbtEBaWmHvOFlZ7NqVV9+a0azZdxWVKpjVAVBSUpKTk+vWrdvvp8XF\nxT0oughKSkMFSOzeureqt7S4C7ZWbi9fLbFmNB5CCCk1Fha4ceNVcHDyz58tuncHgJYtcf26\n0BwDAzx7JjTy4gUOH8aYMcjKUvrxA1lZUFCQWsgVqXjixAnlDRt6vX8vs3Ur5s1DSopQGpeT\ng+XLkZsr+iyxdwr26YMzZwofyspi6VI0aoRz58JPnVKrWVNr9GiYmzPwOVQ8LBZL4lfIyJEj\ne/ToIZ14qpoKkNjVcFzg9m3H3kOBETxAXt/KyuA3v6WaGUjvuxshhJSKXEXFbB4v/4GHB+zs\nCs9vqaigfXscPSr6nCdPMGOG8vbt3bOyMGsWpk3D//4HrjS+pZff4olv37SuX2ex2TA0hIEB\nPDwwaRIH4AAICkL37ujcWfQpOTliluLMzfHtW97d0flatcKRI2jVirdnT25kpFzTpliyBE2a\nAICTU6iiYu3atbVEeo2Q36LiCeZUgMRO1Xbgkr0Dp/R0sXI8/MN0rNejJZZlHRIhhDDF3Byh\noTm7d3++ds2gZUv58eNx7JiYxO7FC9y9m//nzEy4u0NGBitWSCHAclI8wfrxQzs0lGVjAwsL\nANi+HTNnmuUtti1fjg0bsHCh6HPE7v01bYr794VGZs1CvXqYPTv3zh2+oiKnb1/873+Ql4er\na3Tfvg8ePOjduzcTn1GVkpaWFhkZaVa0spiUWIWpitX6Z1xf/bIOghBCpEBDI2f69Edjx2bM\nmAEDA/ToIXqcTlZW6Aa1PLt2ISwMjo7NunSp3749hg4Vqq4tPWXQeeLnT9Xbt7Vu3cqvLMnI\ngIuLfK1aHRYvVra0RP/+uHULrq6FW6jp6ZgyBfHxoq8juAhXYPVquLry8/aydXWxfTuGD0ej\nRvD3D7h48d2dO9i1q7xdJVgJUOcJ5lSYxA5o0LBBhT2uSwghf83SEgcOFJbBqqlh3TqkpopO\ni41F27bw9uakpHASE3HkCOztkZbfqUcmPb20wmG8eCIoqNaNGzL+/sjKAoCTJ2FmVmvaNMsF\nC2Bqis2bMXs2Dh8u3D89dQrTp4vWsWZng1OkkE5HB126CI1Mm4Z27bBxY+zHj+c9PflRUZg4\nkaFPiwiizhPMqQBbsf9RHHwypme2QpmV+BNCSFnp3x9du747ejQ3J8dyyBCoq2PJEtHu8qqq\niIoSGnnzBqdO4d07je3beyclYd48LFiASZNKGEtpFk9kZCi8eKEREQEbG2hqIiUFvXqxAwIa\nA9i1CxYW2LYNI0agICvNyMDMmVBUFH2dly/FvLi5OUJChEYGDMDGjTh27PupU1xFRe3hw1HQ\n/IDNzlJWLp1PihQDdZ5gTgVK7CCrrEWr4YSQKkpNLalp05ycnPylu3//xYIFQhMsLPDwoeiz\nPDzw8GH+8lpUFCZPhqxsfjlteLhsRgbq1BHTpf63SlI8wclbhMtz+zZcXEw+fwYANzesWoU3\nbxAQUDghNBRjxkBkrTE7W8yOara4K7FmzcLZs7h4Mf/hwIFYswZsNoYMCTM2VlVV1bax+bvP\ngpQcFU8whxZCCSGkApo7F+7ufD09AHwDA2zcCAcHMdOKXsm2aRNOnED16k1GjTLv1g22toJz\nWEXv/ijiL4snTp6EhcU/AwfqWlpi5kx8+YK+fZGX1QFITcXUqUL3ieT59EnMSxVdWtPRQcuW\nQiNt22LYMFy4kPz06c1Fi7LCwnDsWFnd/EeKSktLe//+fVlH8f/27jswijr94/izm03vkEJC\nQgmE3qUqmkMUFERQD8VT8RQLigJ2PfXAcurpKWcFUX9WPAWlCCJVQSyAIL2HQEioIT2b7GbL\n/P4IhGFCC8tkdzbv11+XbyabJxdJPpmZz3z9E8EOAAzIbJbHHrPu2vXtF1/YMjNl/HgZMUJ7\njTI2Vlwu7Qfu3CkjR554nMqmTTJ0qBw6JM8+m9C583UjRkjHjjJz5rH3/vxzsxkzor/+WlRJ\nbvHs2ROfeUaqn88iInv3Nlq1Knj16mN3xVmt8tRTTS+//PIbb5Srr5Z162TePBkxQnbuFBFz\nSYm8/vpJe3ZVq1l3OKWapdSJE2XJEnnppZLu3Ut69JBXXpEFC6rusXM3b36kQweFHVp9DOUJ\n/RjpUiwAQMNVtTuZiLRpIzNmyOjRkpMjItK6tUyeLAMGaC9TRkZq81Nurtx2myxZcuwP/c2b\n5YYbZN48+ewzmT69VdXiK6/Ixx/LxRfLPffEz58fJiLx8fKvf8n998u4cfLuu92rTvWlp8vX\nX8tzz8mcOcfGWrBAfvlF2rXTzl29YYNadLTk55+0EhNTVVA9sdKhg7z/vgwZ4v73v53btwe0\nbBnwyCNy220iIk89te3yy81mc4+qJ8zBh1Ge0A/BDgD8xaBBkpW17ttvg8PC2g0eLGaz3Hmn\nTJ160jEpKac4MaZOTlXGjxf1lTKrVUaNkrZtZfXqYSI9RaS4WB54QDZskA8+OHHYrl0ydOix\nZFmtrEw2bz6n+YcOlWnTxG4/sfLmm3LjjTJpkvWbb9w2W+S118qTT0poqAwfbr/mmrlz5159\n9dWRkZHn9OLwJZQn9EOwAwA/YrFUpKZKaOixSsSkSRIcLFOnit0u0dHy1FNSXHyKDqlm6wU5\n1bb3paVVD/i1iDSpXqy+aFtNk+qq1HzyiIj85S+ybNmJN5OS5JVX5PHHlddey//ll6h27YLG\njZOMDBGRp57adfXVVqv1kksuOcXrwIAoT+iHE6EA4L/CwuSttwqys+dOnuzKy5MnnpD775eG\nDU865qKLTvGBp+8Z2EVOPESkrOycxmjfXrsyZIjMmyfPPmtr3boiOVlGjpTff5f4eGndWpk6\n9cfnny/94INjqQ7+iPKEfgh2AODvAgMrGjQ4dg4vJUWWL5fBg53h4c74eLn3XlmwQAYP1n7I\npZdqV47fETVH5MRDfhMStIeZTJKWpl185hl5802JiTn2OrfcIp98IuHh8vzzWTNnrvziC/n0\nU2na1IOvEAZDeUI/BDsAqGfat5d5836ZN2/HTz/JlCkSFyeffCLDhx97b3i4vPyy/O9/0ubk\nfbmffrrqGHP1b47AQPnPfyQq6qTDxo2T776Tbt2OvRkZKW+9JYMHy9ixcvTogilTDu3aJV98\nIQ0a6PolwsdRntAP99gBQL0XFyfTpx/ZuXP9Dz8MuO8+qdpYYu1aeeedw999F5qUFHXnnXL1\n1VJWJqmp1376aY+iIuncWV56SQYOlG7d5PnnS5ctC0xODhk1SkaNErNZ/vgj+8cfD27d2vvO\nO088di4goDw+/tiurKjfKE/oh2AHABARcUdFlaakSPV2YWFh8vjjG7p0ad68eVR6uohIRIS8\n/vqhceM2rVvXdOjQY4e1bCmffbZ83ryOHTs2rb6cajY7mjUrdrlO8TBhgPKEngh2AIBaqKys\nzDlwwNtTwCdUVlbm5OSUqDZ5Kysrczgca9asUR9mMpnatWsXqjpZW15efuDAgZYtW9bdrPUG\nV7gBALWwaNGiCRMmeHsK+KiQkJDo6OizHkZ5Qj+csQMA1ILZbDaZTN6eAj4hKCgoNTW1VatW\ntf1AyhP6IdgBAGphwIABQdX34QHnhfKEfsjLAIBasFgs8fHx3p4CxkZ5Qj8EOwBALVRWVubm\n5np7ChgbO0/oh2AHAKgFyhPwHOUJ/RjtHjvFXpCTtSc3r6Tc7raERMQ2Sm3eLDkq0NtjAUB9\nQXkCnqM8oR/DBLvynXMmvfL2F3NXbD9aedI7TKGJ7fteM+Luh8cObxfppeEAoN6gPAHPUZ7Q\njzGC3eG592XcNGVHhYglunnXnmmJDWJjo0LEYbMWHsrN2rZ58UfPLP703QGvzZ81vkuYt4cF\nAH9GeQKeozyhHyMEu+IZ998yZUdExlMfv3r/4O4pEdqTt0rFvmUfPDX68S8fGjS+Y9bU/iFe\nmRIA6gXKE/AcO0/oxwBXuK1zp80pjbp5ytyXbupZM9WJiCm0Sb+xXyx4pa/l4CdT59rrfkIA\nqD8oT8BzlCf0Y4Bgd2j/fpc079TpzDfQmZr3vzxNHFlZ/B0JADqiPAHPUZ7QjwEuxSYlJ5tk\n6erVBdKywRkOy1+/PkdM/RLi6mwwAKiHKE/Ac5Qn9GOAvBw2aMSQKOusMYMe/t+6fOepjlCK\nt37zxLXjvqsIHXjjNWffexgAcN4oT8BzlCf0Y4AzdtJwxHtfrNh90+RJf+v2zpi0Lt07t26W\nHBcZFmiyl5WUFORuX7d63c58uwSn3f75ByP5aQMAeqI8Ac9RntCPEYKdmBoPeW/lxmsm//uN\nj2b/8sfirD9Ofrc5PKX3iL8/9MzjN7bnQXYAoK9FixZNnDjxvvvu8/YgMLBp06a98847GzZs\n8PYgfsgQwU5EJKLloMc+GPTYB/a8HRu37jtSUFhkuQKglwAAIABJREFUdZhDIho0ataqfdvm\nsdzvAQB1gvIEPEd5Qj+GCXbHKBIQGhERXuE2BUUd21IshVQHAHWG8kT95Ha7RWT79u3qRZvN\nduTIkap3VYuMjGzcuPGZX43yhH4ME+zYUgwAfAHlifrJ5XK53e7Dhw+rF81mc0VFhWaxsrLy\nrMGO8oR+jBHs2FIMAHwE5Yn6KTAw0Gw2Z2RkXJBXozyhHyMEO7YUAwCfQXkCnqM8oR8D3LrI\nlmIA4DsoT8BzlCf0Y4AzdrXZUuyXrKxckRZ1NBkA1D+UJ+A5yhP6MUBeTkpONknm6tUFZz6s\nakuxBLYUAwA9UZ6A5yhP6McAwY4txQDAd1CegOfKy8szMzO9PYV/MsClWLYUAwDfQXkCnqM8\noR8jBDu2FAMAn0F5Ap6jPKEfQwQ7EbYUAwDfQHkCnqM8oR/DBLtj2FIMALyK8gQ8R3lCP4YJ\ndmwpBgC+gPIEPMfOE/oxRrBjSzEA8BGUJ+A5yhP6MUKwY0sxAPAZlCfgOcoT+jFAsDu2pdgn\nc1+6/tSXWo9tKebe1+qhT6bOfbv/8OA6nhAA6g/KE/Ac5Qn9GCDYsaUYAPgOyhP1QXl5eVlZ\nWX5+fvVKZWWloijLly/XHNmpU6fY2Njavj7lCf0YINglJSebZOnq1QXSssEZDqvaUqwfW4oB\ngJ4oT9QHFovFbDarE5vb7Q4JCYmOPml7J5PJFBJyPvc/UZ7QjwGCXdigEUOivps1ZtDDpslP\nD+/asObISvHWb1+6e9x3FaFXsaUYAOiK8kR9EBQU1LBhww4dOuj0+pQn9GOAYMeWYgDgOyhP\nwHOUJ/RjhGDHlmIA4DMoT8BzlCf0Y4hgJ6LblmKlpaWvvvqqw+E4wzHr168/z1cHAL9DeQKe\nozyhH8MEu2Mu9JZiFRUV69evt9lsZzhm//79IqIoyvl/GgDwF5Qn4DnKE/oxTLDTaUuxhISE\nuXPnnvmY999/f/To0dxTAgBCeQIXAuUJ/Rgj2LGlGAD4CMoT8BzlCf0YIdixpRgA+AzKE/Ac\n5Qn9GCAvH9tSbMrcl27qWTPVSfWWYq/0tRz8ZOpce91PCAD1B+UJeI7yhH4MEOxqs6WYIyuL\nW3oBQEeUJ+C58vLyzMxMb0/hnwwQ7JKSk02SuXp1wZkPq9pSLIEtxQBAT4sWLZowYYK3p4Cx\nTZs27YYbbvD2FP7JAMEubNCIIVHWWWMGPfy/dfnOUx2hFG/95olrx31XETqQLcUAQFeUJ/xS\neXm5VcXlcjkcDuvJKisrz/5C54byhH6MUJ5gSzEA8BmUJ/yM0+kUkQULFmjWjx49umvXLvVK\ndHT0wIEDL8gnpTyhHyMEO7YUAwCfQXnCz1gsFhG56qqrAgICqhddLlfNU7MXMNBTntCPIYKd\niG5bigEAaoXyhF8KCwurSnh1g50n9GO0K9zHthSLjGmQkNQ4JbVZWppnW4oBAGqF8gQ8R3lC\nP4Y5Y6fTlmIAgFqhPAHPUZ7QjzGCHVuKAYCPoDwBz1Ge0I8Rgh1bigGAz6A8Ac9RntCPAU6E\nsqUYAPgOyhPwHDtP6McAwY4txQDAd1CegOcoT+jHAMGOLcUAwHdQnoDnKE/oxwD32IUNGjEk\n6rtZYwY9bJr89PCuDWuOrBRv/falu8d9VxF6FVuKAYCuKE/Ac5Qn9GOAYMeWYgDgOyhPwHOU\nJ/RjhGDHlmIA4DMoTxhaSUlJcXFxzeLCzJkz1W+aTKbevXunpqbqNAY7T+jHEMFOhC3FAMA3\nLFq0aOLEiffdd5+3B8H5iIiICA8PT09PVy9ardbw8HDNkQ0bNtRvjGnTpr3zzjsbNmzQ71PU\nW4YJdscFx7fukdHa21MAQH1FecLQzGZzcHBwYmKid8egPKEfwwU7AIA3UZ6A5yhP6Ie8DACo\nBcoT8BzlCf0Y4Iydq7yosNx5jgdbwmJjwgJ0nQcA6jPKE/Ac5Qn9GOCM3bZX+8afs76vbvP2\nvADgz9h5Ap5j5wn9GOCMXZNhT0/InfzhZyv2O0RCktq3Tw45/cEtk0PrbjIAqH8oT8BzlCf0\nY4BgF9Xl5okf3vzgkJHth31+uMU936yZ2MbbIwFAvUV5Ap6jPKEfw+TlhkPvHZ7k7SEAoN6j\nPAHPUZ7QjwHO2B3XtVtXk2R7ewoAqN8oTxiLw+GorKysftPtdrtcLvWKiAQEBAQE1GnvkPKE\nfgwU7MJu+TpviDM01ttzAEB9xs4TRqEoiogsXLiw5rv27NmjfjM0NHTIkCF1NJaIsPOEngwU\n7CQoomGct2cAgHqO8oRRVH2bLr300pCQE51Dl8tVs7gQHBxc97NRntCJkYIdAMDrKE8YS3R0\ndFhYmLen0KI8oR/yMgCgFihPwHOUJ/RDsAMA1ALlCXiuvLw8MzPT21P4J4IdAKAW2HkCnmPn\nCf0Q7AAAtUB5Ap6jPKEfyhMAgFqgPAHPUZ7QD3kZAFALlCfgOcoT+uGMHQCgFihP+Ca73V5U\nVLRmzZrqFafTKSIbN260WE78rjeZTM2bN2/QoIEXRlRh5wn9cMYOAFALlCd8k8vlcrvdDhW3\n2x0REaFZrKysrAp83kV5Qj+csQMA1ALlCd8UFhYWGBjYu3dvbw9yTihP6IdgBwCoBcoT8Bzl\nCf2QlwEAtUB5Ap6jPKEfztjpy+12a+5mcLvdIlJZWVm94nA46nosADhflCfgOcoT+iHY6Wvu\n3Ll2u73m+r59+zQr3333nWbFZDLt2rVLszh79mz1my6Xq6ioaPfu3eoVp9O5ZMkS9WFlZWV7\n9+4tKiqqXiktLXU4HNnZ2ZpXs9lsVqu1eqWyslJRlNN9dQDqoUWLFk2cOPG+++7z9iAwsGnT\npr3zzjsbNmzw9iB+iGCnr/79+2tOyFVUVJSWlqrL5yKSn58fFhamXiktLXW73QEBAdUrbre7\nqKgoNDRUfVhZWZnJZFIfZjabnU5nWVmZ+jBFUQoKCgoKCjTjrVq1SrOyfv369evXaxZnzJih\nebVff/1V/Umrzkr++OOPmg/ctWuX+usqKCgwmUyFhYXVKzabTQAYCuUJeI7yhH4IdvqKiIjQ\nrMTGxtY8rEWLFnUyzknUZ+aqFBUVaS4c2+32o0ePam6UzsvLs1gs6p/sNpvNbreXlJRoXnDv\n3r01P+/ixYs1K99//71mJSAg4PDhw9VvVl2/3rJli/oHQWlpaXBwsPqrICYCdYDyBDxHeUI/\nBLv6Kzw8/KwrItKqVavze/2a9xc6HA715eAq2dnZmr/+i4uLbTab+mOrLgfv3LlT87FWq1Vz\nNVlEFi5cqH6zrKwsODhYfeIwPz+/KikCOA+UJ3zE2rVrAwMDq98sKSlRFGX58uXqY4KDg3v1\n6uWDZ1gpT+iHYAe9mM1mzZ/1QUFBNbNj48aNz+XVbDaby+VSrxw9evTo0aPqFYfDkZubq7kM\n7XK5Dh06dOjQIfWioigLFixQr1RUVBQWFsbExFSvlJeXc38hUBPlCR8RFRUVEhJS/WZISIii\nKJq7eoKCgnww1QnlCT0R7GAM6p9fVcLDw5s2bXrWD8zLy8vPz1evWK3WrKysmheOMzMzMzMz\n1Ssmk+mnn35Sr7hcrvLycnWpWRM3Ab9HecJHpKenn/LeHkOgPKEfgh38XHx8fM3LRhdddJFm\nJTc3V1MuKSkpOXDgQF5enubIdevWrVu3Tr1isViysrKq36w6z8fZPvgryhPwHOUJ/RDsABGR\nlJQUzQ0fiqLUvCNw48aNmlN9TqfT6XRqop6IbN68WV1hLioqUveIAeOiPAHPUZ7QD8EOODWT\nyVTzMkdGRoZmpbS0dOfOnZrzc9nZ2Zr7/6pMnz5ds2K329UXdml1wPdRnoDnKE/oh2AHeCQy\nMrLmhd309HTNs1f279+vuYGvyrJly2q+oPpRf+Xl5RdmUOACoTwBz1Ge0I+hgp1iO7R55e/r\ntmXl5pWU292WkIjYRqkt2nbr1aNNfLC3hwNOiI6Ojo6OVq8kJCS0bt1ac9iSJUtqbkxSWlpa\n81F/Bw4cUF/8qqioqNkmAeoG5Ql4jvKEfowS7Kxbvnhm/IQPl2SVneKd5siWl9/2+L+eG9Uz\njlsx4ZtMJlPNR70MHTpUs5KVlbVx40bNosPh0Pz4c7lcLpdL3dio+bhpQCeUJ+qYzWYrLi5e\ns2ZN9UrVPRtbt24NDj7ppEZqampiYmJdz3deKE/oxxDBrmL1hIyM59faLDEteg2+7OKuaYkN\nYmOjQsRhsxYeys3auvqnJUvfu2fp7AUf//z17S0M8SUBp5SWlpaWlqZecbvdS5cuVd+HJyJ2\nu72srEwdAat+0O/YsUP9G7e8vFyzox3gOcoTdUxRFEVRNP+WIyMjRUSzaKAyPuUJ/RghBe15\nb8yLay09H1v47QsDUk55yVUpXj/179feN3P06E+vWjzKGH+uAOfEbDZfeeWVmsW9e/dqttxw\nuVxFRUWa2/jsdvuBAwfUP/rLy8vpZ8BDlCfqWGhoaExMTJ8+fbw9yIVEeUI/Bgh2+YsWrHEn\njf3PKwNSTnfa1hTd5d4vJi1r9Nevvv2+ZNSdUXU6H1DnmjVr1qxZM/WK0+n8888/NU9LLiws\ndDqdR44cUR+mKIr6mo6IVFRUaM4IAmdAeQKeozyhHwMEu+LiYpG4xMSzXIwPb9mykUheXp4I\nwQ71jsVi6dmzp2YxOzv7wIED6hWHw1FQUKCOeiLidDr379+vrt+WlZVp9vkFqlGegOcoT+jH\nAMEutVWrEPnq2/9tfHRCp9Pf1uHcNGf+HgkZ3vKcNh4F6oOmTZtqdl2z2+3r1q3T3IijKEpl\nZaX6wXsOh8PlcmlqHA6Hgzv2IJQncCFQntCPAYJd4OCxY1p++fpzl1924Jl/3HPD5V1SI9QP\n8HdbD2z5Zc77L/zzvT+Vpg/cdw3PgABOKzg4uHfv3prFnTt3Hjx4UL1iNpsrKyvVrVsRcTqd\nO3fu3LdvX/VKRUWF0+nkMm59Q3kCnqM8oR8DBDsJ7Pnywi+PDh716dSHhk59yBwSm5yaHBcZ\nFmiyl5WUFBzMOVzmEpGQlsOnzv7PZTzPDqilVq1atWrVSr3icDiysrI0J/Z27txZWlpaWlqq\n+fDZs2drVg4fPqw+o1NWVkZjw59QntCVoihr164NDAysXqmoqHC5XJrHW1oslksvvdRiMcIv\n8VOhPKEfY/w3EZg24pNN/cd8/f5HMxev+G3N9l1bjt+4awqKSe1yxWVX/fXvo0f2bxp6xlcB\ncG4CAwNrPk65efPmmm0wCgoK/vzzz5pPWNixY8eOHTs0L7h9+/bqN6tynoEezQA1yhO6MplM\nCQkJERER1SuVlZUOh0PzIMzAwEBDbz9NeUI/xgh2IiKW+B63PNPjlmdExO2wFhcWWR3mkIjY\nBtEhXKUH6kBwcLDmaaixsbEtWrTQHPbHH38UFRWpVyoqKmw2W80HLy9durTmZ5k5c2bNw9Tn\n/6qu/KpLIVUB8ddff1XfslNYWKg+54ELiPKE3gz0nOHzRnlCP8YJdsKWYoAB9OjRQ7Picrny\n8/M15+dycnI0h1mtVrvdrkljxcXFISEh6mBX9b/VEdPtdjudTs01YqfTefjwYfXVK3q+Fwrl\nCXiO8oR+jBLs2FIMMKqAgICEhATN4gU8IaEoyp49ezQdjvLycovFor7Hv6ysrOYNgjgPlCfg\nOcoT+jFEsGNLMQCnZTKZNPuwiUh5eXl+fr56peqMneZMYWVlJcWO2qI8Ac9RntCPEVIQW4oB\nqKWsrCzNBmuKophMprVr16oXHQ6HphGCs6I8caGUlZUVFBRMnz5ds758+XLNSps2bTp16lRX\nc9UFyhP6MUCwY0sxALXVoUOHDh06nPWwpUuXquuHOBeUJy6UsLCwyMjIbt26qRetVmtYWJjm\nLsaoKH/7vUZ5Qj8GCHZsKQbAcw6HY+3atZoOR1lZ2b59+woLC6tXKioquDh7ZpQnLhSz2RwY\nGOj3BdhTojyhHwMEO7YUA+A5s9kcERGhCW0NGzbUPMaFVHdWlCfgOcoT+jFAsGNLMQCeCwgI\nOJeLs7m5uXl5eXUwj3FRnoDnKE/oxwDBji3FAOjk4MGDmhhXWlrqcrk0j1OuevR/3Y7muyhP\nnB+Hw7Fx40b1Fiw2m62yslKzV5jZbO7bt6/mYeD+h/KEfowQ7NhSDIA+rFar+gY7EXG5XMHB\nwZpFt9vNJdpqlCfOT0BAQFxcXHR0dPWKw+Gw2+2a+o7FYqkPm6ZQntCPMYKdCFuKAbjwWrZs\neS7nDObPn+/3Z1DOHeWJ82M2m5OTk1NTU709iE+gPKEf4wQ7YUsxAHWhZjFWUZTKykqr1Vq9\nUllZqSnY1h+UJ+A5yhP6MUqwY0sxAHWhuLh44cKFNdc3btyoufHOYjHKz88LjPLEWSmK4nK5\nNBf0FUWpeek/LCysfp4MpjyhH0P8YGJLMQB1JDo6+pprrtGcjXO5XJrrjzk5OVlZWXU+nU+g\nPHFWVqvVZrNpWhEiovnbQESaNWvWs2fPuprLh1Ce0I8RUhBbigGoQ2FhYWc9pj5fi6Q8cVYR\nERHh4eGDBw/29iC+i/KEfgwQ7HTdUsxut3/55ZdnfpDBihUrajMvAH9z8ODB4uJi9UpBQYHD\n4VA/ukJEXC6Xy+Wq29G8gPIEPEd5Qj8GCHa6bimWl5f3+uuvV1RUnOGYqjumAwICznAMAD9W\nUFBw9OhR9YrD4QgICDh8+LB6UVEUp9NZt6N5AeUJjZrdGrvdXnVHnfowk8l0LieD6wnKE/ox\nQLDTdUuxlJSUzZs3n/mY33777ZJLLiHYAfVW+/btz+Ww2bNn14cb4SlPaNhstk2bNm3atEmz\n/v3332tWBg4cqH6OXX1GeUI/Bgh2bCkGAL6D8oRGaGhoWlpa8+bN1Ysul0tzOsBkMtWHJw+f\nI8oT+jFAsGNLMQC+xuFw5Obmasqzbrf78OHDlZWV1SsFBQX+d3GW8kRNFouFy9O1QnlCP0YI\ndmwpBsDHWK3W7du313yO8YEDBw4dOlS9UnUrXp1Pp6/6XJ6o6sdonlpit9v379+vuaMuJiam\nSZMmdTudkVCe0I8xgp0IW4oB8CExMTFXX331WQ/bvn37/v3762CeulSfyxNVUV6T4UJDQ2su\n1oe7LT1BeUI/xgl2wpZiAOB99bk8ERgYGBAQ0KdPH28PYniUJ/RjlGDHlmIAfF1FRYXNZtOs\nOJ1OzS5SRld/yhMVFRWZmZnqL9bhcDidTs2WEmazuXv37tRda4XyhH4MEezYUgyAAfz++++a\nx91Vqbm1lN1ur5OJdFF/yhMWiyUsLCwhIaF6xeVylZWVaTKcyWQKCeGBDLVDeUI/RkhBbCkG\nwAj69et35m1sqhj9cXd+WZ6oKjhnZWWpvzS32x0QEKC5oTA+Pl4d9XB+KE/oxwDBTtctxQDg\nQjGZTPWhVeCX5Qmn06koimaPOLvd7nA4ioqK1IsNGzYk2HmO8oR+DBDsdN1SDAD043K58vPz\nNY+7E5HCwkL1otVq1Tw5xZf5R3nC4XCoe6wul8tkMmVkZKjP2JlMptDQUP87PekLKE/oxwDB\nTtctxQBAP0eOHPnll19qBruatxZFRETU1VCe8oPyRElJycGDB7OysjTr8+fP16xccskljRvz\na+XCozyhHwMEO7YUA2BQSUlJw4cPP+thGzduLC4uroN5Lgg/KE9ERkYmJia2bdtWveh0Oi0W\n7e/EsLCwOpyrHqE8oR8DBDu2FAPgT8rLyzWtWJvN5nA41E9FOZcShrcYqzxRdbp0/fr16i1A\nSkpKKioqtm3bpj4yIiKiTZs2dT1ffUV5Qj9GCHZsKQbAj/z8888lJSU112s+FcXlctXJRLVj\nrPJEVbBzOp3quxhDQkIsFosmPas3+YXeKE/oxxjBToQtxQD4iQEDBjidTs2ioijq02CVlZXz\n58/3zX1mfbw84Xa71RGtKhx36tRJ84iZwMBAA5139D+UJ/RjnGAnIqK43WI2m8yB4bEJ4bEi\nxdsXf/3VxuzikNRuV17Tv1U0/0gB+Dyz2aw541VcXJydna1eqYoju3btUseRgoICX3gQri+X\nJ4qLi4uKijT/Z4rIDz/8oFnp0aNH8+bN62ouaFGe0I9Bgp0zZ/6LDz015ftNeaYGLXoNf+w/\n/767zZaXh1z37E+Hj12pMDfoNW7arNevSiLcATAYzaM3qkRERFRWVqrP7WmuJ3qLL5cnoqOj\nIyMjO3XqpF50OByBgYGaI2lFeBflCf0YItgdnX3nJdd/nqOYwxKTIkp3L5tyz+W71wzKnPrT\n0UZ977p7WJc4265Fn0z5ftL11zfe8Psj6d4eFwBqJS4uLi4u7qyHrVmzxhfuuvOp8sSvv/6q\nvmBttVpNJtNvv/2mPiY4OPiyyy6r89FwJpQn9GOEYLf+v49+nmNpf8+3894a0izYkbvoiWHD\nJk39SiKv+r8139/R2CwiMvaBv9zW+rovXnv3l0f+29fbAwOAx1atWmWz2dQrJSUliqIsX768\neqUq59V8Tp6ufKo8kZSUpL5aXVF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In these\n", - "data, Sales is a continuous variable, and so we begin by recoding it as a\n", - "binary variable. We use the ifelse() function to create a variable, called\n", - "High, which takes on a value of Yes if the Sales variable exceeds 8, and\n", - "takes on a value of No otherwise.\n", - "\n", - "Finally, we use the data.frame() function to merge High with the rest of\n", - "the Carseats data." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "High=ifelse(Sales<=8,\"No\",\"Yes\")\n", - "Carseats=data.frame(Carseats,High)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "We now use the tree() function to fit a classification tree in order to predict\n", - "High using all variables but Sales. The syntax of the tree() function is quite\n", - "similar to that of the lm() function. The \".-Sales\" on the right-hand-side means\n", - "that we take all predictors of Carseats except Sales." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "tree.carseats=tree(High~.-Sales,Carseats)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "The summary() function lists the variables that are used as internal nodes\n", - "in the tree, the number of terminal nodes, and the (training) error rate." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "summary(tree.carseats)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "We see that the training error rate is 9%. For classification trees, the deviance reported in the output of summary() is given by $-2\\sum_m\\sum_kn_{mk}\\log\\hat p_{mk}$ where $n_{mk}$ is the number of observations in the mth terminal node that belong to the kth class.\n", - "\n", - "A small deviance indicates a tree that provides a good fit to the (training) data. The residual mean deviance reported is simply the deviance divided by $n−|T_0|$, which in this case is 400−27 = 373.\n", - "\n", - "One of the most attractive properties of trees is that they can be\n", - "graphically displayed. We use the plot() function to display the tree structure, and the text() function to display the node labels. The argument\n", - "pretty=0 instructs R to include the category names for any qualitative predictors, rather than simply displaying a letter for each category." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "plot(tree.carseats)\n", - "text(tree.carseats,pretty=0)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "If we just type the name of the tree object, R prints output corresponding\n", - "to each branch of the tree. R displays the split criterion (e.g. Price<92.5 ), the\n", - "number of observations in that branch, the deviance, the overall prediction\n", - "for the branch ( Yes or No ), and the fraction of observations in that branch\n", - "that take on values of Yes and No . Branches that lead to terminal nodes are\n", - "indicated using asterisks." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "tree.carseats" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "In order to properly evaluate the performance of a classification tree on\n", - "these data, we must estimate the test error rather than simply computing\n", - "the training error. We split the observations into a training set and a test\n", - "set, build the tree using the training set, and evaluate its performance on\n", - "the test data. The predict() function can be used for this purpose. In the\n", - "case of a classification tree, the argument type=\"class\" instructs R to return\n", - "the actual class prediction. This approach leads to correct predictions for\n", - "around 70.5 % of the locations in the test data set." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "set.seed(4)\n", - "train=sample(1:nrow(Carseats), 200)\n", - "Carseats.test=Carseats[-train,]\n", - "High.test=High[-train]\n", - "tree.carseats=tree(High~.-Sales,Carseats,subset=train)\n", - "tree.pred=predict(tree.carseats,Carseats.test,type=\"class\")\n", - "table(tree.pred,High.test)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "(89+52)/200" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Next, we consider whether pruning the tree might lead to improved\n", - "results. The function cv.tree() performs cross-validation in order to\n", - "determine the optimal level of tree complexity; cost complexity pruning\n", - "is used in order to select a sequence of trees for consideration. We use\n", - "the argument FUN=prune.misclass in order to indicate that we want the\n", - "classification error rate to guide the cross-validation and pruning process,\n", - "rather than the default for the cv.tree() function, which is deviance. The\n", - "cv.tree() function reports the number of terminal nodes of each tree considered ( size ) as well as the corresponding error rate and the value of the\n", - "cost-complexity parameter used (k , which corresponds to α in the slides and in section (8.4) of the book)." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "set.seed(3)\n", - "cv.carseats=cv.tree(tree.carseats,FUN=prune.misclass)\n", - "names(cv.carseats)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "cv.carseats" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Note that, despite the name, dev corresponds to the cross-validation error\n", - "rate in this instance. The tree with 10 terminal nodes results in the lowest\n", - "cross-validation error rate, with 50 cross-validation errors. We plot the error\n", - "rate as a function of both size and k." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "par(mfrow=c(1,2))\n", - "plot(cv.carseats$size,cv.carseats$dev,type=\"b\")\n", - "plot(cv.carseats$k,cv.carseats$dev,type=\"b\")" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "We now apply the prune.misclass() function in order to prune the tree to\n", - "obtain the ten-node tree." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "prune.carseats=prune.misclass(tree.carseats,best=10)\n", - "plot(prune.carseats)\n", - "text(prune.carseats,pretty=0)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "How well does this pruned tree perform on the test data set? Once again,\n", - "we apply the predict() function." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "tree.pred=predict(prune.carseats,Carseats.test,type=\"class\")\n", - "table(tree.pred,High.test)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "(92+58)/200" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Now 75 % of the test observations are correctly classified, so not only has\n", - "the pruning process produced a more interpretable tree, but it has also\n", - "improved the classification accuracy.\n", - "\n", - "If we increase the value of best, we obtain a larger pruned tree with lower\n", - "classification accuracy:" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "prune.carseats=prune.misclass(tree.carseats,best=16)\n", - "plot(prune.carseats)\n", - "text(prune.carseats,pretty=0)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "tree.pred=predict(prune.carseats,Carseats.test,type=\"class\")\n", - "table(tree.pred,High.test)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "(89+52)/200" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Fitting Regression Trees" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Here we fit a regression tree to the Boston data set. First, we create a\n", - "training set, and fit the tree to the training data." - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "\n", - "Regression tree:\n", - "tree(formula = medv ~ ., data = Boston, subset = train)\n", - "Variables actually used in tree construction:\n", - "[1] \"rm\" \"lstat\" \"crim\" \"age\" \n", - "Number of terminal nodes: 7 \n", - "Residual mean deviance: 10.38 = 2555 / 246 \n", - "Distribution of residuals:\n", - " Min. 1st Qu. Median Mean 3rd Qu. Max. \n", - "-10.1800 -1.7770 -0.1775 0.0000 1.9230 16.5800 " - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "library(MASS)\n", - "set.seed(1)\n", - "train = sample(1:nrow(Boston), nrow(Boston)/2)\n", - "tree.boston=tree(medv~.,Boston,subset=train)\n", - "summary(tree.boston)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Notice that the output of summary() indicates that only four of the variables have been used in constructing the tree. In the context of a regression\n", - "tree, the deviance is simply the sum of squared errors for the tree. We now\n", - "plot the tree." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "plot(tree.boston)\n", - "text(tree.boston,pretty=0)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "The variable rm is the average number of rooms per dwelling.\n", - "The variable lstat measures the percentage of individuals with lower\n", - "socioeconomic status. The tree indicates that lower values of lstat correspond to more expensive houses. \n", - "The tree predicts a median house price\n", - "of 21380 USD for smaller homes in suburbs in which residents have high socioeconomic status ( rm<6.543 and lstat<14.405 )\n", - "\n", - "Now we use the cv.tree() function to see whether pruning the tree will\n", - "improve performance." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "cv.boston=cv.tree(tree.boston)\n", - "plot(cv.boston$size,cv.boston$dev,type='b')" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "In this case, the most complex tree is selected by cross-validation. How-\n", - "ever, if we wish to prune the tree, we could do so as follows, using the\n", - "prune.tree() function:" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "prune.boston=prune.tree(tree.boston,best=5)\n", - "plot(prune.boston)\n", - "text(prune.boston,pretty=0)" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": {}, - "outputs": [ - { - "data": { - "text/html": [ - "35.2868818594623" - ], - "text/latex": [ - "35.2868818594623" - ], - "text/markdown": [ - "35.2868818594623" - ], - "text/plain": [ - "[1] 35.28688" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "image/png": 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cUOAEo3fPjwZ8+effLJJ4sWLXJ0dMzKyoqJialVq9bhw4ft7OykTge8lbNnz/r6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QUBAbG6ukpOTm5paVlbVr1y7YPPE5LBZr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\nMGInDAQC4fr161euXAkLC4uIiEAIaWtrnzlzx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- "text/plain": [ - "plot without title" - ] - }, - "metadata": { - "image/png": { - "height": 420, - "width": 420 - }, - "text/plain": { - "height": 420, - "width": 420 - } - }, - "output_type": "display_data" - } - ], - "source": [ - "yhat=predict(tree.boston,newdata=Boston[-train,])\n", - "boston.test=Boston[-train,\"medv\"]\n", - "plot(yhat,boston.test)\n", - "abline(0,1)\n", - "mean((yhat-boston.test)^2)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "In other words, the test set MSE associated with the regression tree is\n", - "35.3. The square root of the MSE is therefore around 5.94, indicating\n", - "that this model leads to test predictions that are within around 5940 USD of\n", - "the true median home value for the suburb." - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "R", - "language": "R", - "name": "ir" - }, - "language_info": { - "codemirror_mode": "r", - "file_extension": ".r", - "mimetype": "text/x-r-source", - "name": "R", - "pygments_lexer": "r", - "version": "3.6.1" - } - }, - "nbformat": 4, - "nbformat_minor": 2 -} diff --git a/src/unsupervised_learning.ipynb b/src/unsupervised_learning.ipynb deleted file mode 100644 index c060bde..0000000 --- a/src/unsupervised_learning.ipynb +++ /dev/null @@ -1,563 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# Unsupervised Learning" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "New R commands\n", - "- `prcomp(x, scale = TRUE)` performs PCA on data `x`\n", - "- `biplot(pr.out, scale=0)` plots scores and loadings of a PCA `pr.out` in one figure.\n", - "- `cumsum(x)` computes the cumulative sum of the elements of a numeric vector.\n", - "- `kmeans(x,k,nstart=)` run k-means clustering on data `x` with `nstart` restarts." - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## PCA" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "In this lab, we perform PCA on the USArrests data set, which is part of\n", - "the base R package. The rows of the data set contain the 50 states, in\n", - "alphabetical order." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "states=row.names(USArrests)\n", - "states" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "The columns of the data set contain the four variables." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "names(USArrests)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "We first briefly examine the data. We notice that the variables have vastly\n", - "different means." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "apply(USArrests, 2, mean)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Note that the apply() function allows us to apply a function—in this case,\n", - "the mean() function—to each row or column of the data set. The second\n", - "input here denotes whether we wish to compute the mean of the rows, 1,\n", - "or the columns, 2. We see that there are on average three times as many\n", - "rapes as murders, and more than eight times as many assaults as rapes.\n", - "We can also examine the variances of the four variables using the apply()\n", - "function." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "apply(USArrests, 2, var)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Not surprisingly, the variables also have vastly different variances: the\n", - "UrbanPop variable measures the percentage of the population in each state\n", - "living in an urban area, which is not a comparable number to the number of rapes in each state per 100,000 individuals. If we failed to scale the\n", - "variables before performing PCA, then most of the principal components\n", - "that we observed would be driven by the Assault variable, since it has by\n", - "far the largest mean and variance. Thus, it is important to standardize the\n", - "variables to have mean zero and standard deviation one before performing\n", - "PCA.\n", - "\n", - "We now perform principal components analysis using the prcomp() function, which is one of several functions in R that perform PCA." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "pr.out=prcomp(USArrests, scale=TRUE)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "By default, the prcomp() function centers the variables to have mean zero.\n", - "By using the option scale=TRUE , we scale the variables to have standard\n", - "deviation one. The output from prcomp() contains a number of useful quantities." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "names(pr.out)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "pr.out$center" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "pr.out$scale" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "The rotation matrix provides the principal component loadings; each column of pr.out$rotation contains the corresponding principal component\n", - "loading vector." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "pr.out$rotation" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "We see that there are four distinct principal components. This is to be\n", - "expected because there are in general min(n − 1, p) informative principal\n", - "components in a data set with n observations and p variables.\n", - "\n", - "This function names the loadings the rotation matrix, because when we matrix-multiply the\n", - "X matrix by pr.out$rotation, it gives us the coordinates of the data in the rotated\n", - "coordinate system. These coordinates are the principal component scores." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "pr.out$x" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "To see that we actually recover these scores by multiplying the data X with the loading matrix pr.out$rotation we scale the data and perform the matrix multiplication." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "USArrests.scaled = scale(USArrests)\n", - "USArrests.scaled %*% pr.out$rotation" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "We can plot the first two principal components as follows:" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "biplot(pr.out, scale=0)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "The scale=0 argument to biplot() ensures that the arrows are scaled to\n", - "represent the loadings; other values for scale give slightly different biplots\n", - "with different interpretations.\n", - "\n", - "Alternatively we could directly plot the scores alone.\n", - "We see clearly the scores of the states California, Nevada and Florida on the left." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "plot(pr.out$x[,1:2], xlim = c(-3, 3), ylim = c(-3, 3))" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "The principal components are only unique up to a sign change, so we could have also obtained the following picture with equivalent information (this figure can be found in the text book as Figure 10.1):" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "pr.out$rotation=-pr.out$rotation\n", - "pr.out$x=-pr.out$x\n", - "biplot(pr.out, scale=0)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "The prcomp() function also outputs the standard deviation of each principal component. For instance, on the USArrests data set, we can access\n", - "these standard deviations as follows:" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "pr.out$sdev" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "The variance explained by each principal component is obtained by squar-\n", - "ing these:" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "pr.var=pr.out$sdev^2\n", - "pr.var" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "To compute the proportion of variance explained by each principal component, we simply divide the variance explained by each principal component\n", - "by the total variance explained by all four principal components:" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "pve=pr.var/sum(pr.var)\n", - "pve" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "We see that the first principal component explains 62.0 % of the variance\n", - "in the data, the next principal component explains 24.7 % of the variance,\n", - "and so forth. We can plot the PVE explained by each component, as well\n", - "as the cumulative PVE, as follows:" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "plot(pve, xlab=\"Principal Component\", ylab=\"Proportion of Variance Explained\", ylim=c(0,1),type='b')" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "plot(cumsum(pve), xlab=\"Principal Component\", ylab=\"Cumulative Proportion of Variance Explained\", ylim=c(0,1),type='b')" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Note that the function cumsum() computes the cumulative sum of the elements of a numeric vector. For instance:" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "a=c(1,2,8,-3)\n", - "cumsum(a)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## K-Means Clustering" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "The function kmeans() performs K-means clustering in R . We begin with\n", - "a simple simulated example in which there truly are two clusters in the\n", - "data: the first 25 observations have a mean shift relative to the next 25\n", - "observations." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "set.seed(2)\n", - "x=matrix(rnorm(50*2), ncol=2)\n", - "x[1:25,1]=x[1:25,1]+3\n", - "x[1:25,2]=x[1:25,2]-4" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "We now perform K-means clustering with K = 2." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "km.out=kmeans(x,2,nstart=20)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "The cluster assignments of the 50 observations are contained in\n", - "km.out$cluster." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "km.out$cluster" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "The K-means clustering perfectly separated the observations into two clusters even though we did not supply any group information to kmeans() . We\n", - "can plot the data, with each observation colored according to its cluster\n", - "assignment." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "plot(x, col=(km.out$cluster+1), main=\"K-Means Clustering Results with K=2\", xlab=\"\", ylab=\"\", pch=20, cex=2)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Here the observations can be easily plotted because they are two-dimensional.\n", - "If there were more than two variables then we could instead perform PCA\n", - "and plot the first two principal components score vectors.\n", - "\n", - "In this example, we knew that there really were two clusters because\n", - "we generated the data. However, for real data, in general we do not know\n", - "the true number of clusters. We could instead have performed K-means\n", - "clustering on this example with K = 3." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "set.seed(4)\n", - "km.out=kmeans(x,3,nstart=20)\n", - "km.out" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "plot(x, col=(km.out$cluster+1), main=\"K-Means Clustering Results with K=3\", xlab=\"\", ylab=\"\", pch=20, cex=2)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "When K = 3, K-means clustering splits up the two clusters.\n", - "\n", - "To run the kmeans() function in R with multiple initial cluster assignments, we use the nstart argument. If a value of nstart greater than one\n", - "is used, then K-means clustering will be performed using multiple random\n", - "assignments in Step 1 of the Algorithm on slide 35 (Algorithm 10.1 in the book), and the kmeans() function will\n", - "report only the best results. Here we compare using nstart=1 to nstart=20 ." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "set.seed(311)\n", - "km.out=kmeans(x,3,nstart=1)\n", - "km.out$tot.withinss" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "km.out=kmeans(x,3,nstart=20)\n", - "km.out$tot.withinss" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Note that km.out$tot.withinss is the total within-cluster sum of squares,\n", - "which we seek to minimize by performing K-means clustering (Equation\n", - "10.11). The individual within-cluster sum-of-squares are contained in the\n", - "vector km.out$withinss.\n", - "\n", - "We strongly recommend always running K-means clustering with a large\n", - "value of nstart, such as 20 or 50, since otherwise an undesirable local\n", - "optimum may be obtained.\n", - "\n", - "When performing K-means clustering, in addition to using multiple ini-\n", - "tial cluster assignments, it is also important to set a random seed using the\n", - "set.seed() function. This way, the initial cluster assignments in Step 1 can\n", - "be replicated, and the K-means output will be fully reproducible." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [] - } - ], - "metadata": { - "kernelspec": { - "display_name": "R", - "language": "R", - "name": "ir" - }, - "language_info": { - "codemirror_mode": "r", - "file_extension": ".r", - "mimetype": "text/x-r-source", - "name": "R", - "pygments_lexer": "r", - "version": "3.6.1" - } - }, - "nbformat": 4, - "nbformat_minor": 2 -}