Navigation Menu

Skip to content

Instantly share code, notes, and snippets.

@macd
Last active August 29, 2015 14:04
Show Gist options
  • Star 1 You must be signed in to star a gist
  • Fork 0 You must be signed in to fork a gist
  • Save macd/128ca830e8f3819985a2 to your computer and use it in GitHub Desktop.
Save macd/128ca830e8f3819985a2 to your computer and use it in GitHub Desktop.
An IJulia Notebook translation of Higham and Higham's "Matlab Guide"
{
"metadata": {
"language": "Julia",
"name": "",
"signature": "sha256:e7ef81d627c67af3ba8c90108dc2bc0f6f44f1a0e36cb9235cccecb3b07d7494"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"This IJulia [Julia](http://julialang.org/) notebook is a direct translation of Chapter 1 of\n",
"\n",
">D. J. Higham and N.J. Higham. \n",
">[MATLAB Guide](http://www.ec-securehost.com/SIAM/ot92.html), Second edition, \n",
">Society for Industrial and Applied Mathematics, Philadelphia, PA, USA, \n",
">2005, ISBN 0-89871-578-4\n",
"\n",
"with MATLAB code converted to equivalent Julia code. There are a small number of additions in the text to address Julia differences and additions. A full description of the Julia language can be found at Readthedocs [here](http://julia.readthedocs.org/en/latest/manual/). It is also useful to read about [noteworthy differences](http://docs.julialang.org/en/latest/manual/noteworthy-differences/#noteworthy-differences-from-matlab) between Matlab, R, and Python as compared to Julia. The original paper describing the Julia language can be found [here](http://www-math.mit.edu/~edelman/homepage/papers/juliafast.pdf) [IPython](http://ipython.org/) , from which the IJulia project evolved, is discussed in reference [2] and is currently evolving again to [Project Jupyter](http://jupyter.org/)\n",
"\n",
"One way to install Julia and supporting software is to first install [anaconda](http://continuum.io/downloads) which installs a Python environment which contains the plotting package **matplotlib** and the very useful **IPython shell** and **IPython/IJulia Notebook** (which is what you are reading now). Then install Julia from [here](http://julialang.org/downloads/). Finally, in the Julia shell type in **Pkg.add(\"PyPlot\")** for plotting and **Pkg.add(\"ijulia\")** for the IPython Notebook with a Julia backend, after the **julia>** prompt. One of the examples uses the ordinary differential equation solver package \"ODE\", and that can be installed by **Pkg.add(\"ODE\")**. Once you have finished, you can start the IJulia notebook with the command **ipython notebook --profile=julia**\n",
"\n",
"All the errors here are, of course, mine. If (or rather when) you find them, please let me know. In the meantime, I hope you find it useful. \n",
"\n",
"Don MacMillen: don (sometimes) at macmillen dot net\n",
"\n",
"#Chapter 1 A Brief Tutorial#\n",
"\n",
"The best way to learn Julia is by trying it yourself, and hence we begin with a whirlwind tour. Working through the examples below will give you a feel for the way that Julia operates and an appreciation of its power and \ufb02exibility. \n",
"\n",
"The tutorial is entirely independent of the rest of the book\u2014all the Julia features introduced are discussed in greater detail in the subsequent chapters. Indeed, in order to keep this chapter brief, we have not explained all the functions used here. You can use the index in [1] to \ufb01nd out more about particular topics that interest you. \n",
"\n",
"We will be using the Julia interactive shell as well as the IJulia notebook (which is what you are reading now) throughout this tutorial. You can install these by following the directions at [IPython install](http://ipython.org/install.html) (or see the instructions above). This tutorial contains commands for you to type at the Julia command line. Alternatively, if you are viewing this notebook in a \"live\" mode served from a local IJulia notebook server running with --profile=julia, you can directly modify any of the cells and rerun the cell. Just be aware that in some cases you may need to choose the \"Run All\" option from the cell drop down menu to satisfy intercell dependences.\n",
"\n",
"In the last part of this brief tutorial we give examples of script files and functions. These \ufb01les are short, so you can type them in quickly or cut and paste them into an Julia shell, or you can just modify values in place in the IJulia notebook and re-evaluate the cell. You should experiment as you proceed, keeping the following points in mind. \n",
"\n",
"* Upper and lower case characters are not equivalent (Julia is case sensitive). \n",
"* Typing the name of a variable will cause Julia to display its current value. \n",
"* Julia uses parentheses, ( ), square brackets, [ ], and curly braces, { }, and these are not interchangeable. \n",
"* In the Julia shell, the up arrow and down arrow keys can be used to scroll through your previous commands. Also, an old command can be recalled by typing the first few characters followed by up arrow. You can also use **ctrl-p** (type p while holding the control key down) to scroll back through the command history stack. To move to the end of the line, type **ctrl-e**, to the beginning of the line **ctrl-a**.\n",
"* You can type ?(topic) to access online help on the command, function, or object topic. Note that hyperlinks, indicated by underlines, are provided that will take you to related help items and the Help browser. \n",
"* If you press the tab key after partially typing a function or variable name, Julia will attempt to complete it, offering you a selection of choices if there is more than one possible completion. \n",
"* You can quit Julia by typing exit() or quit() or ctrl-d.\n",
"\n",
"Having entered the Julia command, you should work through this tutorial by typing in the text that appears after the prompt, **In [n]:** where n is a number which indicates the command's location in the command stack, in the command window. After showing you what to type, we display the output that is produced. We begin with arrays. In native Julia arrays are lists denoted with the square bracket syntax."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"a = [1 2 3]"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 1,
"text": [
"1x3 Array{Int64,2}:\n",
" 1 2 3"
]
}
],
"prompt_number": 1
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"If you type in the line listed in the box 'In[1]:' above into the Julia shell, then you will see the result listed in 'Out[1]:'\n",
"\n",
"This example sets up a 1-by-3 array, which is also called a row vector. In the next example, comma's separate the entries:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"c = [4, 5, 6]"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 2,
"text": [
"3-element Array{Int64,1}:\n",
" 4\n",
" 5\n",
" 6"
]
}
],
"prompt_number": 2
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The commas tell Julia to concantenate the scalars vertically, so **c** is a 3 element column vector. But notice that **c** has dimensions of (3,) while **a** has dimensions of (1,3) and this will be important below. Now you can multiply the arrays a and c:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"a * c"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 3,
"text": [
"1-element Array{Int64,1}:\n",
" 32"
]
}
],
"prompt_number": 3
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Here, you performed an inner, or dot product, of the two vectors. Notice that in this example, the product **a\\*c** was not explicitly assigned to any variable. When there is no explicit assignment, Julia automatically assigns the result of the expression to the variable named **ans** (short for answer) **but only in the interactive shell** as you can see by the following:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"ans"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 4,
"text": [
"1-element Array{Int64,1}:\n",
" 32"
]
}
],
"prompt_number": 4
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Inputs to Julia functions are speci\ufb01ed after the function name and within parentheses. You may also form the outer product:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"A = c * a"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 5,
"text": [
"3x3 Array{Int64,2}:\n",
" 4 8 12\n",
" 5 10 15\n",
" 6 12 18"
]
}
],
"prompt_number": 5
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Here the answer is a 3-by-3 array that has been assigned to **A**.\n",
"\n",
"The product **a \\* a**, is not defined, since the dimensions are incompatible for matrix multiplication:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"a * a"
],
"language": "python",
"metadata": {},
"outputs": [
{
"ename": "LoadError",
"evalue": "DimensionMismatch(\"*\")\nwhile loading In[6], in expression starting on line 1",
"output_type": "pyerr",
"traceback": [
"DimensionMismatch(\"*\")\nwhile loading In[6], in expression starting on line 1",
" in generic_matmatmul! at linalg/matmul.jl:372",
" in * at linalg/matmul.jl:117"
]
}
],
"prompt_number": 6
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Arithmetic operations on matrices and vectors come in two distinct forms. Matrix sense operations are based on the normal rules of linear algebra and are obtained with the usual symbols **+, -, \\*, /,** and **^**. Array sense operations are de\ufb01ned to act elementwise and are generally obtained by preceding the symbol with a dot. Thus if you want to square each element af a you can write."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"b = a .^ 2"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 7,
"text": [
"1x3 Array{Int64,2}:\n",
" 1 4 9"
]
}
],
"prompt_number": 7
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Julia has many mathematical functions that operate in the array sense when given a vector or matrix argument. For example,"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"exp(a)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 8,
"text": [
"1x3 Array{Float64,2}:\n",
" 2.71828 7.38906 20.0855"
]
}
],
"prompt_number": 8
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"log(ans)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 9,
"text": [
"1x3 Array{Float64,2}:\n",
" 1.0 2.0 3.0"
]
}
],
"prompt_number": 9
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"sqrt(a)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 10,
"text": [
"1x3 Array{Float64,2}:\n",
" 1.0 1.41421 1.73205"
]
}
],
"prompt_number": 10
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"By default, Julia uses a heuristic to determine the number of decimal digits to display, but always stores numbers and computes to the equivalent of 16 decimal digits.\n",
"\n",
"Large or small numbers are displayed in exponential notation, with a power of 10 scale factor preceded by e. Note that in this next example the 24. (24 followed by a dot) is necessary since Julia will throw an error if exponentiating an integer to a negative integer power."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"2 ^ -24."
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 11,
"text": [
"5.960464477539063e-8"
]
}
],
"prompt_number": 11
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Various data analysis functions are also available. "
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"sum(b), mean(c)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 12,
"text": [
"(14,5.0)"
]
}
],
"prompt_number": 12
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"As this example shows, you may include more than one command on the same line by separating them with commas. If a command is followed by a semicolon then Julia suppresses the output. Note that semicolons are **not** needed at the end of lines in scripts and are discouraged there by the style guidelines."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"pi"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 13,
"text": [
"\u03c0 = 3.1415926535897..."
]
}
],
"prompt_number": 13
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"y = tan(pi/6);"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 14
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The variable pi is a permanent variable with value $\\pi$. The variable *ans* always contains the most recent unassigned expression, so after the assignment to y, *ans* still holds the Value $\\pi$.\n",
"\n",
"You may set up a two dimensional array by using spaces to separate entries within a row and semicolons to separate rows:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"B = [-3 0 -1; 2 5 -7; -1 4 8]"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 15,
"text": [
"3x3 Array{Int64,2}:\n",
" -3 0 -1\n",
" 2 5 -7\n",
" -1 4 8"
]
}
],
"prompt_number": 15
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"At the heart of Julia is a powerful range of linear algebra functions. For example, recalling that c is a 3-by-1 Vector, you may wish to solve the linear system $B * x = c$. This can be done with the backslash operator:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"x = B\\c"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 16,
"text": [
"3-element Array{Float64,1}:\n",
" -1.29954 \n",
" 1.37788 \n",
" -0.101382"
]
}
],
"prompt_number": 16
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"You can check the result by computing the Euclidean norm of the relative residual:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"norm(B*x - c) / (norm(B) * norm(x))"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 17,
"text": [
"9.651308470608712e-17"
]
}
],
"prompt_number": 17
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"While nonzero because of rounding errors in the computations, this residual is about as small as we can expect, given that Julia computes to the equivalent of about 16 decimal digits.\n",
"\n",
"The eigenvalues of B can be found using _eig_:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"e = eig(B)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 18,
"text": [
"(Complex{Float64}[-3.13605+0.0im,6.56803+5.10454im,6.56803-5.10454im],\n",
"3x3 Array{Complex{Float64},2}:\n",
" 0.982903+0.0im -0.0385442-0.0392755im -0.0385442+0.0392755im\n",
" -0.126565+0.0im -0.800527+0.0im -0.800527-0.0im \n",
" 0.133724+0.0im 0.168308+0.572539im 0.168308-0.572539im )"
]
}
],
"prompt_number": 18
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Notice two things about this code snippet. First, eig returns both the eigenvalues and the eigenvectors. Also the solution shows that **im** is the imaginary unit, $\\sqrt{-1}$. You may also specify two output arguments for the function eig:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"(D, V) = eig(B)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 19,
"text": [
"(Complex{Float64}[-3.13605+0.0im,6.56803+5.10454im,6.56803-5.10454im],\n",
"3x3 Array{Complex{Float64},2}:\n",
" 0.982903+0.0im -0.0385442-0.0392755im -0.0385442+0.0392755im\n",
" -0.126565+0.0im -0.800527+0.0im -0.800527-0.0im \n",
" 0.133724+0.0im 0.168308+0.572539im 0.168308-0.572539im )"
]
}
],
"prompt_number": 19
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"D"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 20,
"text": [
"3-element Array{Complex{Float64},1}:\n",
" -3.13605+0.0im \n",
" 6.56803+5.10454im\n",
" 6.56803-5.10454im"
]
}
],
"prompt_number": 20
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"V"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 21,
"text": [
"3x3 Array{Complex{Float64},2}:\n",
" 0.982903+0.0im -0.0385442-0.0392755im -0.0385442+0.0392755im\n",
" -0.126565+0.0im -0.800527+0.0im -0.800527-0.0im \n",
" 0.133724+0.0im 0.168308+0.572539im 0.168308-0.572539im "
]
}
],
"prompt_number": 21
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The columns of V are the eigenvectors of B while the values in D are the eigenvalues. Note that the returned arguments are in reversed order from the MATLAB version of eig.\n",
"\n",
"The colon notation is useful for constructing vectors of equally spaced values. For example,"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"v = [1:6]"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 22,
"text": [
"6-element Array{Int64,1}:\n",
" 1\n",
" 2\n",
" 3\n",
" 4\n",
" 5\n",
" 6"
]
}
],
"prompt_number": 22
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"This is different from MATLAB. If we had just used the notation **1:6** (that is, use no square brackets) we would have set **v** to a range object. By using the square brackets, we are using a comprehension to obtain the vector specified by the range.\n",
"\n",
"To quote the Julia [manual](http://julia.readthedocs.org/en/latest/manual/), \"Comprehensions provide a general and powerful way to construct arrays. Comprehension syntax is similar to set construction notation in mathematics\" In the following, we see a one line function definition that takes to arguments and returns a single value. Notice that we have written **3y** instead of **3\\*y**. In many instances we can skip the star between a constant factor and the expression it is multiplying for cleaner looking code. The comprehension appears on the right hand side of the assignment to **g**."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"f(x, y) = x^2 +3y\n",
"g = [f(i, j) for i=1:3, j=2:5]"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 23,
"text": [
"3x4 Array{Int64,2}:\n",
" 7 10 13 16\n",
" 10 13 16 19\n",
" 15 18 21 24"
]
}
],
"prompt_number": 23
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Generally, **[m:n]** generates the vector with entries m, m+1, ... , n. Nonunit increments can be specified with m:s:n syntax where s is the step size."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"y = [2:3:10]"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 24,
"text": [
"3-element Array{Int64,1}:\n",
" 2\n",
" 5\n",
" 8"
]
}
],
"prompt_number": 24
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"y = [1:-0.25:0]"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 25,
"text": [
"5-element Array{Float64,1}:\n",
" 1.0 \n",
" 0.75\n",
" 0.5 \n",
" 0.25\n",
" 0.0 "
]
}
],
"prompt_number": 25
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"You may construct big matrices out of smaller ones by following the conventions that (a) square brackets enclose and array, (b) spaces separate entries in a row, and (c) semicolons separate rows. If only \"vertical\" concatenations are being done, then the elements can be separated by commas."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"C = [A, [8 9 10]]"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 26,
"text": [
"4x3 Array{Int64,2}:\n",
" 4 8 12\n",
" 5 10 15\n",
" 6 12 18\n",
" 8 9 10"
]
}
],
"prompt_number": 26
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"D = [B; a]"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 27,
"text": [
"4x3 Array{Int64,2}:\n",
" -3 0 -1\n",
" 2 5 -7\n",
" -1 4 8\n",
" 1 2 3"
]
}
],
"prompt_number": 27
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The element in row **i** and column **j** of the matrix **C** (where **i** and **j** always start at 1) can be accessed as **C[i, j]**."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"C[2, 3]"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 28,
"text": [
"15"
]
}
],
"prompt_number": 28
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"More generally, **C[i1:i2, j1:j2]** picks out the submatrix formed by the intersection of rows **i1** to **i2** and columns **j1** to **j2**."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"C[2:3, 1:2]"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 29,
"text": [
"2x2 Array{Int64,2}:\n",
" 5 10\n",
" 6 12"
]
}
],
"prompt_number": 29
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"You can build certain types of matrices automatically. For example, identities and matrices of zeros and ones can be constructed with eye, zeros, and ones:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"I3 = eye(3)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 30,
"text": [
"3x3 Array{Float64,2}:\n",
" 1.0 0.0 0.0\n",
" 0.0 1.0 0.0\n",
" 0.0 0.0 1.0"
]
}
],
"prompt_number": 30
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"Y = zeros(3, 5)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 31,
"text": [
"3x5 Array{Float64,2}:\n",
" 0.0 0.0 0.0 0.0 0.0\n",
" 0.0 0.0 0.0 0.0 0.0\n",
" 0.0 0.0 0.0 0.0 0.0"
]
}
],
"prompt_number": 31
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"Z = ones((2,2))"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 32,
"text": [
"2x2 Array{Float64,2}:\n",
" 1.0 1.0\n",
" 1.0 1.0"
]
}
],
"prompt_number": 32
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Note that the functions **zeros** and **ones** can take either a single integer argument, which results in a one dimensional array; a single array argument, which results in a multi dimensional array of size specified by the array; or muliple integer arguments, one specifying the size of each dimension of the resulting array.\n",
"\n",
"The functions **rand** and **randn** work in a similar way, generating random entries from the uniform distribution over [0, 1] and the normal (0, 1) distribution, respectively. The numbers generated depend on the seed of the random number generator (rng). By explicitly setting the seed, you can make your experiments repeatable. The function to set the seed is **srand**."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"srand(20)\n",
"F = rand(3, 3)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 33,
"text": [
"3x3 Array{Float64,2}:\n",
" 0.41409 0.43761 0.698962\n",
" 0.977533 0.0782563 0.573936\n",
" 0.524623 0.0866527 0.958093"
]
}
],
"prompt_number": 33
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"G = randn(1, 5)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 34,
"text": [
"1x5 Array{Float64,2}:\n",
" 1.29553 0.138387 0.981704 0.288756 0.474409"
]
}
],
"prompt_number": 34
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"At this point several variables have been created in the workspace. You can obtain a list with the whos() command."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"whos()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"A "
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"3x3 Array{Int64,2}\n",
"B 3x3 Array{Int64,2}\n",
"Base Module\n",
"C 4x3 Array{Int64,2}\n",
"Core Module\n",
"D 4x3 Array{Int64,2}\n",
"DataStructures Module\n",
"F 3x3 Array{Float64,2}\n",
"G 1x5 Array{Float64,2}\n",
"I3 3x3 Array{Float64,2}\n",
"IJulia Module\n",
"IPythonDisplay Module\n",
"JSON Module\n",
"Main Module\n",
"Nettle Module\n",
"V 3x3 Array{Complex{Float64},2}\n",
"Y 3x5 Array{Float64,2}\n",
"Z 2x2 Array{Float64,2}\n",
"ZMQ Module\n",
"_1 1x3 Array{Int64,2}\n",
"_10 1x3 Array{Float64,2}\n",
"_11 Float64\n",
"_12 (Int64,Float64)\n",
"_13 MathConst{:\u03c0}\n",
"_15 3x3 Array{Int64,2}\n",
"_16 3-element Array{Float64,1}\n",
"_17 Float64\n",
"_18 (Array{Complex{Float64},1},Array{Complex{Float64},2})\n",
"_19 (Array{Complex{Float64},1},Array{Complex{Float64},2})\n",
"_2 3-element Array{Int64,1}\n",
"_20 3-element Array{Complex{Float64},1}\n",
"_21 3x3 Array{Complex{Float64},2}\n",
"_22 6-element Array{Int64,1}\n",
"_23 3x4 Array{Int64,2}\n",
"_24 3-element Array{Int64,1}\n",
"_25 5-element Array{Float64,1}\n",
"_26 4x3 Array{Int64,2}\n",
"_27 4x3 Array{Int64,2}\n",
"_28 Int64\n",
"_29 2x2 Array{Int64,2}\n",
"_3 1-element Array{Int64,1}\n",
"_30 3x3 Array{Float64,2}\n",
"_31 3x5 Array{Float64,2}\n",
"_32 2x2 Array{Float64,2}\n",
"_33 3x3 Array{Float64,2}\n",
"_34 1x5 Array{Float64,2}\n",
"_4 1-element Array{Int64,1}\n",
"_5 3x3 Array{Int64,2}\n",
"_7 1x3 Array{Int64,2}\n",
"_8 1x3 Array{Float64,2}\n",
"_9 1x3 Array{Float64,2}\n",
"a 1x3 Array{Int64,2}\n",
"b 1x3 Array{Int64,2}\n",
"c 3-element Array{Int64,1}\n",
"e (Array{Complex{Float64},1},Array{Complex{Float64},2})\n",
"f Function\n",
"g 3x4 Array{Int64,2}\n",
"v 6-element Array{Int64,1}\n",
"x 3-element Array{Float64,1}\n",
"y 5-element Array{Float64,1}\n"
]
}
],
"prompt_number": 35
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Like most languages Julia has loop contructs. The following example uses a for loop to evaluate the continued fraction $\\cfrac{1}{1+\\cfrac{1}{1+\\cfrac{1}{1+\\cfrac{1}{1+\\cfrac{1}{1+\\cfrac{1}{1 + \\cfrac{1}{1 + \\cfrac{1}{1 + \\cfrac{1}{1 + \\cfrac{1}{1}}}}}}}}}}$\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"which approximates the golden ratio, (1 + $\\sqrt{5}$)/2. The evaluation is done from the bottom up:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"g = 2.\n",
"for k=1:10\n",
" g = 1 + 1 / g\n",
"end\n",
"g"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 36,
"text": [
"1.6180555555555556"
]
}
],
"prompt_number": 36
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Which we can check with the predefined **golden** constant."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"golden"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 37,
"text": [
"\u03c6 = 1.6180339887498..."
]
}
],
"prompt_number": 37
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Loops involving the while statement can be found later in this tutorial.\n",
"\n",
"The plot function from the matplotlib module pylab produces two dimensional pictures. You can access these ploting and graphics functions with the **using PyPlot** statement, which imports the names of the **PyPlot** module into the current scope."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# Import plotting functions into current namespace\n",
"using PyPlot\n",
"t = [0:0.005:1.00]\n",
"z = exp(10t .* (t - 1)) .* sin(12pi * t)\n",
"plot(t, z)\n",
"title(\"Figure 1.2. Basic 2D picture produced by plot\")"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stderr",
"text": [
"INFO: Loading help data...\n"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAArYAAAIhCAYAAAC7YPkXAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAAPYQAAD2EBqD+naQAAIABJREFUeJzs3Xd4VMX+BvD3bHqAEAIB0iAYE1BpoXdCE0FCR6QJ0myIIEpREbDBBVQQC3Lvz0DgSm+KNKkBRCJNpYReQ+ghhBZIMr8/5u6aJbvJJtmzZ8v7eR6e1bN7zpmteXf2OzOKEEKAiIiIiMjB6bRuABERERGRNTDYEhEREZFTYLAlIiIiIqfAYEtEREREToHBloiIiIicAoMtERERETkFBlsiIiIicgoMtkRERETkFBhsiYiIiMgpMNiSVZ09exY6nQ4vv/yy1k0hOzdgwADodDqcP39e66bYlYkTJ0Kn02H79u1aN4VMcIbXbUxMDHQ6y//8h4eHo1KlSiq2yHr4N4gYbMliOp0uz3/x8fFQFAUADJfOKi0tDdOmTUOfPn3w9NNPw93dHTqdDps3by7wsQ4ePIiJEyeicePGCAoKgpeXF0JDQ9G7d28cOHDAam029Zx5e3ujUqVKGDBgAJKSkqx2LksoiqLa62T9+vV48803UbNmTQQEBMDHxwdVqlTByJEjcfXqVZP7hIeHGz02np6eKFOmDKpXr46XXnoJy5Ytw6NHj1Rpb076x6Uoj41Op0OLFi2s2CrKyRk+3wp6HxztPhe1vXPnzoVOp8O8efOs1CKyFXetG0CORVEUTJgwweR1NWvWREhICJKSklCyZEkbt8y2zpw5gzFjxkBRFISGhiIwMBBXrlwp1Ifpq6++isTERNSpUwfdu3dH8eLFceDAASxatAjLli3D4sWL0aVLF6u0+/HnLy0tDXv27EF8fDyWL1+OnTt3okaNGlY5V34mT56McePGITg42KrHffDgAdq3bw8vLy80a9YMzz77LLKysrB582bMnDkTixYtwo4dO/Dkk0+a3H/EiBHw9/dHdnY2bt++jaSkJKxcuRILFixAZGQkFixYgLp161q1zTkNGzYMvXr1QlhYWJGO42hBxJEIIbRuAtkI30cOSBBZSFEUodPptG6GXUhNTRVbtmwRqampQggh+vfvLxRFEZs3by7wsWbNmiVOnTqVa/t///tfoSiKKFOmjHj48GGR25zX8/fmm28KRVHEgAEDinwerT169Eh89tln4tatW0bbs7OzxauvvioURRGxsbG59qtYsaLQ6XTi3Llzua5LS0sTw4cPF4qiCH9/f5GUlKRa+61BURTRokULrZvhlPTvdVOvE0fRvHnzAn2WV6xYUVSqVEnFFlnPmTNnhKIo4uWXXy7SceLi4oSiKGLu3LlWahnZCksRyKryqm86fvw4unXrhlKlSqF48eJo3Lgx1q5da/Ynn7x+TjVV55bz3MePH0fPnj1RtmxZuLm5GdUrbtiwAe3bt0eZMmXg7e2NJ598EqNHj0ZaWprF99Pf3x8tWrSAv7+/xfuYM2zYMDzxxBO5tvfu3RtPPvkkbt68iUOHDhX5PHlp06YNAOD69etG22/fvo1p06ahZcuWCA0NhZeXF8qWLYtOnTrh999/N3msHTt2IDY2FqGhofD29kZQUBAaNmyIjz76yOh2edUqJiYmomfPnggJCYG3tzeCg4PRtm1bLF26NN/74u7ujnHjxuX61UBRFHz44YcAUOD6VT8/P8ycORMvvfQS0tLSMHbsWIv227ZtG3Q6HSZNmoTdu3ejdevW8Pf3h5+fH5577jns27cv1z76GtuEhIRc1yUlJWHgwIEIDw+Ht7c3ypUrh2bNmmH27NkA/vn5NOe59f8mTZqUq02mmKqnzPkeXb9+PWJiYlCyZEmjOs3MzEx8++23aNCgAfz8/FCsWDHUqlUL33zzTYF6OPX1nw8fPsQHH3yASpUqGd6nH330kclyEP1nxZUrVzB48GCEhITA3d3d6DNlyZIlaNasGUqWLAlfX19Ur14dU6ZMwcOHD022Y9OmTWjatCmKFSuG0qVLo0uXLmbLdQrzmOotXrwYrVq1MpTMVKpUCb179zb52li4cKHhc8fHxwdPP/00Pv30U7P3YdGiRahduzZ8fX1Rrlw5vPTSS7h06ZLJ21ri9u3bGDZsGEJCQuDj44NnnnkGs2bNMrpNUlISdDodWrZsafY41apVg6enJ65cuZLvOfWPnSXnzk9KSgreeOMNhIeHGz7LunXrhv379xvdLiYmBgMHDgQAvPzyy0bvI0eurXYVLEUgVTz+801SUhIaNWqEW7duoUOHDqhevTpOnTqFLl26oH379ib3Mbctv+tOnTqFBg0aoHLlyujXrx/u379vCDmTJk3CpEmTULp0acTGxqJs2bL4888/MX36dKxduxa7d+9GiRIlCnu3rc7DwwNCCLi7q/tW3bRpEwCgTp06RtuPHDmCDz74AM2bN0dsbCxKlSqFc+fO4aeffsK6devw888/o23btobbr1+/Hs8//zz8/f3RsWNHhISE4ObNmzhy5Ai+++47Q7DUM/Uc/vvf/8Zrr70GDw8PdOzYEZGRkbhy5Qr27t2L7777Dj169Cj0/dQ/joV9PD/88EPEx8fjl19+QXp6usWvlT179mDy5Mlo06YNhg0bhhMnTmDFihVISEjAxo0b0aRJk3yP8csvv6BHjx54+PAh2rVrhz59+uDWrVs4ePAgpk2bhldffRXR0dGYMGECJk2ahPDwcAwYMMCwf0xMjNHxCvPeWrZsGdavX4/27dvj9ddfx7lz5wAAjx49QmxsLDZu3IgqVaqgb9++8Pb2xpYtW/Dmm28ayl0KokePHti7dy969OgBDw8PrFq1ChMnTsTevXvx008/5br9zZs30aBBA5QoUQLdu3eHTqdD+fLlAQDvvfcepkyZgsDAQPTt2xfFixfH2rVr8d5772HDhg3YuHEjPDw8jO5nz5494e3tjZ49eyIoKAg7duxAo0aNUL169QI/bqauE0Lg5ZdfRnx8PAIDA9G9e3cEBgbiwoUL2LZtG6pUqYLatWsbbj9w4EDMnTsXYWFh6NGjB/z9/bF7926MHz8emzdvxq+//go3NzfD7b/88kuMGjUKpUqVQv/+/eHv74/169ejcePGhSoVy8jIQKtWrXD79m307t0bGRkZWL58Od566y0cO3YMX3/9NQCgSpUqaNGiBbZu3YoTJ04gMjLS6Di//fYbDh8+jO7du6NcuXL5nldRFDx8+NCic+flzJkzaNKkCVJSUtCqVSv06dMH58+fx9KlS/HLL79g+fLleP755wHIMFuqVCmsXr0anTt3Rs2aNQ3HcfYyO6egcY8xORBFUYSiKGLixIliwoQJRv/0P9eY+xmoZcuWQlEUMXv2bKPt69atMxx33rx5uc5n7udUUz8H6s+tKIp4//33c+2zZcsWoSiKaNy4sUhLSzO6bu7cuUJRFDFy5EjLHxAT7SlMKYI5u3fvFoqiiLCwMJGdnV3k45l6/kaOHCmaNGkidDqd6Nixo7hz547RPmlpaeLGjRu5jnXx4kURHBwsnnrqKaPtXbt2FYqiiL/++ivXPo8fx9RzePjwYeHu7i5Kly4tjhw5kusYycnJBbrPj5syZYpQFEX07t0713V5lSLkFBoaKnQ6ndi6dWu+59u6davhcf/mm2+Mrlu9erVQFEVERkYaPb8TJkwQiqKI7du3G7Zdu3ZN+Pn5CS8vL5GQkJDrPI8/Lnm9d/RtmjRpksnrTf3srP9Z1s3NTWzYsCHXPvo2Dx8+3Oi+ZGVliUGDBglFUcTq1atNnu9xzZs3F4qiiMqVKxuVkzx48EA0bNhQKIoi5s+fn+v+Kooi+vfvL7Kysoyu++2334SiKKJixYriypUrhu2ZmZkiNjZWKIoiPvvsM8P29PR0ERAQIDw9PcW+ffuMjjVy5EhDSU/O10lhHtPvv/9eKIoi6tevL27fvm10XVZWlkhJSTH8v/7x79atm3jw4IHRbSdOnCgURREzZ840bDtz5ozw8PAQpUuXNmpndna26NatW4HLyipWrCgURRFNmzY1Kou6efOmiIiIEIqiGL0uly1bJhRFEe+8806uY+nf95s2bVLl3Ob+Bj377LO5nmsh5OtD/5mT8/NP/5g//neJ7B+DLVlM/8fD1D/9H1FTHyrnz58XiqKIqKgok8dt06aNVYNtUFCQyZrUzp07C0VRTAYmIYSoWbOmKFu2bN4PghnWDrY3btwQkZGRQqfTiWXLllnlmHk9f88884z48ccfC3Q8fV3uhQsXDNv0wfb48eP57m/qORw2bJhQFEXMmDGjQG2xRGJiovDx8RElS5YUp0+fznW9pcG2fv36QlEUsXTp0nzPqQ885l77MTExuUKsqWA7ffp0oSiKGDFiRL7nFEK9YNu1a9dct8/KyhIBAQEiODg4V6gUQtaj63Q68cILL1jUdn2wXbBgQa7rtm3bZvK+KYoivL29xbVr13LtM3jwYKEoivj3v/+d67rjx48LNzc38cQTTxi2LViwwGy9eVpamihZsqRVgm3VqlWFTqcTBw8eNLlPTjVr1hSenp65vpALIQN6mTJlRL169QzbPvnkE8OX2MedPn1a6HS6QgXbnTt35rpO3ymQ8zM/MzNThISEiDJlyoiMjAzD9tTUVOHj4yMiIyNVO7epv0EXLlwQiqKI8PBwkZmZmes4/fr1E4qiiPj4eMM2BlvHxVIEKhBFUZCVlVWgfQ4ePAgAaNiwocnrGzdubPgp3Bpq1Khh9LOi3u7du+Hh4YElS5aYrPl7+PAhrl27htTUVJQqVcpq7Smou3fvolOnTjh58iTGjBmDbt26We3Yjz9/9+/fx6FDhzB27Fj06dMHhw8fxieffGK0z65duzBz5kzs3r0b165dy1XPl5ycjNDQUABA3759sXLlStSvXx89e/ZETEwMGjdubLg+P/q63Xbt2hXlbuZy/PhxxMbGIisrCwsWLCjSnJz6105BRks3bdrU5PbmzZtj+/btOHjwIJo1a2Z2f7Uel4KqV69erm3Hjx9HamoqIiMjc9VR63l7e+Po0aMFOlfz5s1zbWvcuDF0Op3hMyWn8PBwlClTJtf2/fv3Q1EUkzWfkZGRCAkJwdmzZw2lJfp6S1Pn9/PzQ82aNU3WPxfE3bt3cfjwYZQvXz7fWUju3buHP//8E4GBgfjiiy9M3sbT09Po8c3rPlSqVAlhYWG4cOFCgdrs4eGBRo0a5dquL3HJ+Zy4ublhyJAhmDRpEpYvX45evXoBAObPn48HDx5g6NChqp3bFP20iU2bNjUq19Br2bIlFixYgIMHD6Jfv34FahvZHwZbUp1+UJa5eipL6qwKQl9X97gbN24gKyvL7AAPQIaVO3fuaBZs7969i+effx67du3CqFGjMHnyZFXP5+Pjg7p162LFihUIDQ3F1KlT8eqrrxqC6MqVK9G9e3f4+vqiTZs2iIiIQLFixaDT6bB161Zs374dGRkZhuN16dIFa9asweeff44ffvgB33//PQCgdu3amDx5Mlq3bp1ne27dugVFURASEmK1+3j8+HG0aNECt27dwqJFi9ChQ4ciHU8/+CYwMNDifcy9xvWv1fwGLt66dQsArPq4FIap99aNGzcAACdOnDAbbBVFwd27dy0+j6IoJh8zd3d3lClTJtcgR3NtA/55bIOCgkxeHxQUhAsXLuDWrVsoUaJEvp9X5s5TEAV5PlNTUwEA165dM/v4AsZftCy5DwUNtmXKlDH5ZU5/jsdfw0OGDMGnn36K77//3hBs58yZAy8vrwIvnlDQcz8uv9eA/jnVPy/k2DgrAqnOz88PAMyOgM1rZGxmZqbJ7Xl9AJnrSStZsiQCAgKQnZ1t9l9WVlaR5w8trPT0dLRr1w4JCQkYM2YMpk2bZrNzlyxZElFRUcjMzDQaITx+/Hh4e3tj7969WLFiBaZNm4aJEyfiww8/RFRUlMljtW/fHps3b8atW7ewefNmjBw5EocPH0aHDh3y7bXTzzJx8eJFq9yvo0ePIiYmBjdv3sTSpUuLPB/wyZMnkZycDA8PD6OBPfkx9xq/fPkygPwHpFjzcdHPZGCt95a+7V27ds3zfXXq1CmL2yiEMPmYZWZm4vr164bPlPzalrN9KSkpJq9PSUmBoiiG2+kv83vOciroY6p/PpOTk03ePid9e2rVqpXvZ9fj+xTkPuTn+vXrJn/pMvcaDg4ORseOHZGQkIBjx44ZBo116dIFpUuXVvXcj9Nfb+5+618bHBjmHBhsSXXR0dEAZCmAqQ+nnTt3mtyvVKlSJnsVsrKycPDgwQJPnN2wYUPDCH17k5aWhmeffRY7d+7EBx98oHpPrSn6nqGcz9HJkyfx9NNPo3Llyka3zc7ONvu86fn4+KBFixb4/PPP8d577+Hhw4dYt25dnvs0bNgQQoh8b2eJv//+GzExMbh16xZWrFiB2NjYIh9T32MWGxuLYsWKWbzfjh07TL72t23bBuCf94g5+jIeSx+XvEqG9L9GmJq26OTJk7h9+7ZF59B76qmnDCP0zQW7wtA/Njnt3LkT2dnZ+T5eOdWqVQtCCJPHO3nyJC5evIhKlSoZwrL+C4up26elpZn87CnoY1qsWDFUrVoVly9fzvdn9OLFi+OZZ57BoUOHDO/R/OR1H06fPl3g3lpAznyxa9euXNvzeg2//vrrAIDvv/8ec+bMAQC88sorNjl3TrVq1QIgXz+m3hdbt241uh0AQ8lCQUvvyA5oVdxLjseSkbTmRqS2aNFCKIoivvvuO6Ptec2K0K5dO6Eoiti4caPRdv0o4McHcOQ3MffmzZuFoiiiUaNG4tKlS7muv3Pnjvj999/zvH/mWDLS9/r16+Lo0aPi+vXrRttv3rwp6tSpIxRFER9//LFF5zN3rLzk9fytXLlSKIoivLy8xNWrVw3bq1SpIvz8/Iwer+zsbDF+/HjD8XIOctq+fbvJwRlvvPFGrlkxTA0eO3LkiPDw8BABAQEmB/nlHKiWlwMHDojSpUuLYsWK5Xr9mKMfPHb27Nlc16WlpRkGywUEBIgTJ05YdMycsyJ8/fXXRtetWrXK5MAyU4PHrl+/LkqWLCk8PT1Nzorw+OMSGBhodkL9R48eiZIlSwp/f3+j5/revXuG95y5wWPmBtJ8+OGHQlEU8dprr4n79+/nuv7SpUtmB20+Tj94LCoqyrAAihBC3L9/XzRo0MDsrAjmBsvpZ0WoVKmS0eCyzMxM0alTp1wj5e/cuSMCAgKEh4eH2Lt3r9GxRowYYfKzpzCP6b///W+hKIqoV69erkFhj8+K8MMPPwhFUUTnzp1zLTwihPwM2b9/v+H/z549Kzw9PUVAQIDR6zkrK8swwLMwg8eaNGliNBjsxo0bIiIiQuh0OrFjxw6T+1apUkUEBAQIX1/fXLOoqHHu/GZFmD59utH233//Xbi5ueWaFeGXX34RiqKICRMmFLjNpC3W2JJNfPPNN2jcuDFef/11rF27FtWqVcPp06exYsUKdOrUCatXrzaa7B0A3nnnHWzYsAGdOnVCz549UapUKfz22284e/YsYmJiTPZG5KVly5aYMmUKxo0bh8jISLRv3x7h4eG4c+cOzp07h4SEBDRt2hRr16616HjvvPOOodZP33s5bdo0zJ8/H4CsN+3UqZPh9rNmzcJHH32ECRMmGC1r27VrV+zbtw8RERHIysrCxIkTc52rS5cuRoNMzB0rP0IITJo0ydB7ePfuXRw5cgTr1q2Doij47LPPjGpHR44caZgftWvXrvDw8MCuXbtw9OhRxMbG4ueffzY6/vDhw3Hp0iU0btwYFStWhKenJ/bt24etW7ciPDwcL774Yp7te+qpp/Dtt98aztmpUyc8+eSTuHHjBv744w+ULFkSW7ZsyfMYqampaNWqleFy165dJnt7Ro4cmeunRyEEZsyYgZIlS0IIgdu3b+PYsWNISEjAvXv3ULlyZSxYsMDscrzmPPfccxg1ahTWrVuH6tWr4+TJk1ixYgV8fHzwww8/5Lt/6dKl8eOPP6J79+5o0aIF2rVrh2rVquH27dv466+/cPHiRZw+fdpw+9atW2PRokXo2LEjoqOj4eHhgebNm6Np06Zwd3fHW2+9hY8//hjR0dHo3LkzMjMzsWnTJoSEhCA4OLjAS8aOHz8ef/75J2bPno2ff/4ZLVq0QEhICK5evYoTJ07gt99+w2effYannnrK4mM+/fTTeOaZZ9C9e3e4u7tj9erVOH36NDp06IC+fftafJyGDRti9OjRmDp1KqpWrWqoGV+3bh0OHz6Mpk2b4t133zXcvlixYpgzZw569uyJpk2bomfPnihfvjx27tyJw4cPo1mzZrkGjxXmMR08eDB27NiB+fPnIzIyEh07dkRgYCAuXbqErVu3YtCgQYZ5n19++WXs27cP3377LSIiItC2bVuEhYXh5s2bOHPmDHbs2IGBAwfi22+/BQBUrFgRU6ZMwahRoxAdHY2ePXvCz88PGzZswO3bt1G9enX89ddfFj+GgKxPzcjIQNWqVdGxY0c8fPgQy5Ytw+XLl/HGG2+YnYv51VdfxciRIwGgwIPGinrunGbPno3GjRvj3XffxcaNG1G7dm1cuHABS5cuhbu7O+Li4ox+hWnUqBF8fX0xY8YM3Lhxw1DPO3z4cJOlMGRH1E7ODx48EKNHjxZBQUHCx8dH1K9fX/z6668W7fvrr7+Kli1bisDAQFG8eHFRvXp18dVXX5mcUobUV5QeWyGESEpKEl27dhX+/v6iWLFiolGjRmLt2rVi2rRpZue5/Omnn0SdOnWEt7e3KFOmjOjVq5c4f/68GDBgQIF7bPV27twpXnjhBREcHCw8PT1F2bJlRXR0tBg1alSueSvzEh4ebpg2J+c//eP0+NQ/EydONLk953FMTcWl0+ly9ZSZO1Ze9MfKeWx3d3cRHBwsOnfubLa3ee7cuaJmzZqiWLFiIjAwUHTt2lUcOnTI0IacPYtLliwRvXr1EpGRkaJ48eLCz89PVKtWTXzwwQe5epdNPYd6u3fvFt26dRNly5YVnp6eIiQkRLRr104sX7483/upfx2YezxN9bgJ8c/zoL+Nfh7Q6tWri5deekksX75cPHr0yJKH2iDnNFC7d+8WrVu3Fn5+fsLPz0+0bds2V4+gEMLk46p3+PBh8dJLL4mQkBDh6ekpypcvL2JiYnJNZXX16lXRu3dvUa5cOeHm5mbytTJlyhQREREhPD09RcWKFcWYMWPEvXv3RHh4eK7exblz55p8HT5u/vz5olWrVoZ5YENDQ0XTpk3F5MmTxcWLFy16zPTLvT58+FB88MEHolKlSsLLy0tERESIjz76yORUfnn12OotWrRINGnSRJQoUUJ4e3uLqlWris8++8yoFzCnX3/9VTRp0kT4+vqKgIAA0blzZ3Hs2LE8X7cFeUz1/vvf/4rmzZuLkiVLCm9vb/HEE0+Ivn37igMHDuS67Zo1a0SHDh0M74ugoCBRv359MX78eHHs2LFct1+4cKGoVauW8Pb2FmXLlhX9+vUTKSkpIiYmpkA9tvr23759W7zxxhsiJCREeHl5iaefflrMmjUrz3310735+vqKmzdvWnxOPf1UaZaeO6+/A8nJyeK1114TFStWFJ6eniIwMFB06dLF5PtQCCHWr18vGjZsKIoXL272c4PsjyJEAb+aF1CvXr2wfPlyjBw5EpGRkYiLi8Mff/yBrVu3onHjxmb3069uU7VqVQwaNAi+vr5Yu3YtVq9ejeHDh2PGjBlqNptsqE+fPli4cCGOHTuWa5UaIke2bds2tGzZ0jDgjvIXExODHTt2sLbRSWzZsgWtW7dGv379ci2bbonw8HDodDqjXySI8qJqKUJiYiIWL16M6dOn4+233wYA9OvXD1WrVsXo0aNN/jyoN3/+fHh5eSEhIcEwgnTIkCGIiYnB3LlzGWwdjPjfKOfHp8rZvHkzFi9ejGeeeYahlojIyehndxk2bJjGLSFXoWqwXbZsGdzd3Y3qary8vDBo0CC89957SE5ONjuPn4+PD7y8vHLVwJUvXx6+vr5qNptUkJGRgbCwMLRs2RKVK1eGu7s7Dh8+jF9//RXe3t745ptvtG4iEdkJlX9IJJX9/fffWLNmDfbt24cNGzYgNjYWdevW1bpZ5CJUne7rwIEDiIqKQvHixY2261/geU1z8uabbyI7OxuvvPIKkpKScO7cOcyePRsrV67EuHHj1Gw2qcDT0xOvvfYakpOTER8fj6+//hqHDh1Cz549sXv37jxXXSIi16EoSoGn8iP7sn//frz//vvYvHkzXnjhBcTFxRX6WHwtUEGpWmNbtWpVBAUF4ddffzXafuTIEVStWhXff/89hgwZYnb/vXv3IjY21jDJtJubG7755ptCj6wkIiIiIuelainC/fv34eXllWu7t7e34XpzkpKS8Pzzz6NixYqYNm0avL298eOPP2LYsGEoV66c0TRKj0tJSTG7ygwRERERaS8oKMjsUseFpWqw9fHxMVpHXu/BgweG681555134O7ujm3bthlqart3746WLVvijTfeQIcOHQwrg+SUkpKCOnXqGNZzJyIiIiL7ExwcjL1791o13KoabIOCgkwGTH1vanBwsNl9d+7cidjY2FwDxWJjYzFq1CicO3cOTzzxhMljX7p0CQsWLCjQZODkuEaMGMFZMlwIn2/XwufbtfD5dh1Hjx5F3759kZKS4jjBNjo6Gtu2bUN6ejpKlChh2L5nzx4AQM2aNc3um5mZaXIew0ePHhmuz8tTTz1ltO4zOS9/f38+1y6Ez7dr4fPtWvh8U1GpOitC9+7dkZWVhTlz5hi2ZWRkIC4uDg0aNDBM9XX58mUkJSUZhdXo6Ghs3LgRN2/eNGzLysrCkiVL4Ofnh4iICDWbTkREREQORtUe23r16qFHjx4YN24crl69ioiICMybNw/nz583mv5j7NixiI+Px9mzZ1GhQgUAwPvvv4/nn38e9evXx9ChQ+Ht7Y2FCxdi//79+PTTT03W1xIRERGR61I12AJAfHw8xo8fj/nz5yM1NRU1atTAmjVr0KRJE8NtTM1b+Nxzz2GXduEzAAAgAElEQVTt2rX49NNPMWnSJGRmZqJKlSr5ThFGRERERK5J9WDr5eWFqVOnYurUqWZvExcXZ3IC57Zt26Jt27ZqNo+cQK9evbRuAtkQn2/XwufbtfD5pqJStcaWyBb4Qeha+Hy7Fj7froXPNxUVgy0REREROQUGWyIiIiJyCgy2REREROQUGGyJiIiIyCkw2BIRERGRU2CwJSIiIiKnwGBLRERERE6BwZaIiIiInAKDLRERERE5BQZbIiIiInIKDLZERERE5BQYbImIiIjIKTDYEhEREZFTYLAlIiIiIqfAYEtEREREToHBloiIiIicAoMtERERETkFBlsiIiIicgoMtkRERETkFBhsiYiIiMgpMNgSERERkVNgsCUiIiIip8BgS0REREROgcGWiIiIiJwCg62FFi8GDh3SuhVEREREZA6DrQXWrQNefBGIiQGOHtW6NURERERkCoNtPq5eBV5+GWjdGggKAtq0Ac6d07pVRERERPQ4Bts8CAEMHgxkZQHz5wMbNwKenjLcXr2qdeuIiIiIKCcG2zzMmQP8/DPwww9A+fKyx/bXX4G0NODdd7VuHRERERHlxGBrRkYG8M47wNChQGzsP9sjIuS2n38GMjO1ax8RERERGWOwNeOPP4A7d4BXXsl9XceOQGoq8Ntvtm8XEREREZnGYGvG9u2Anx9Qo0bu62rXlqUJP/1k+3YRERERkWkMtmYkJABNmgBubrmv0+mADh1kOQIRERER2QcGWxMePQJ27QKaNzd/m9hY4Phx+Y+IiIiItMdga8KBA8Ddu0CzZuZv07o14O3NXlsiIiIie8Fga0JCAuDrK2tpzfH1leGWdbZERERE9oHB1oTt24FGjQAPj7xvFxsrSxZu3rRNu4iIiIjIPAbbx2RlATt25F2GoNehg7z9unXqt4uIiIiI8sZg+5i//5Yri+U1cEwvOFiWK6xZo367iIiIiChvDLaPSUgAvLyAevUsu32zZnIxByIiIiLSFoPtYxISgPr15YwHloiOBk6dkr28RERERKQdBtschJDB1pL6Wr3oaHn555/qtImIiIiILMNgm8O5c8C1a0DDhpbvU6WK7N09cEC9dhERERFR/hhsczhxQl5Wrmz5Pu7uQLVqDLZEREREWmOwzeHECRlUK1Ys2H41azLYEhEREWlN9WCbkZGBMWPGIDg4GL6+vmjQoAE2bdpk8f6bNm1Cy5Yt4e/vDz8/P9SpUwdLlixRpa3HjwNPPCHDbUFERwNHjgAZGao0i4iIiIgsoHqwHTBgAL788kv069cPX331Fdzc3NC+fXvs2rUr333j4uLQtm1beHl5YfLkyZg+fTqaNWuGixcvqtLWEyeAyMiC7xcdDWRmAocOWb9NRERERGSZAvZNFkxiYiIWL16M6dOn4+233wYA9OvXD1WrVsXo0aPzDLdnz57FG2+8geHDh+PLL79Us5kGJ04Azz9f8P2qVwd0OlmOULu29dtFRERERPlTtcd22bJlcHd3x9ChQw3bvLy8MGjQIOzevRvJyclm9509ezaEEPjoo48AAHfu3IEQQrW2ZmYCZ84UrsfW11cOOGOdLREREZF2VA22Bw4cQFRUFIoXL260vW7dugCAgwcPmt1306ZNqFKlCtasWYPQ0FD4+fmhTJky+PDDD1UJuGfPynAbFVW4/aOjGWyJiIiItKRqKUJKSgqCgoJybddvu3Tpktl9T5w4AXd3dwwcOBBjxoxBjRo1sHz5cnzyySfIzMzEZ599ZtW26qf6KkyPLSCD7apVQFYW4OZmvXYRERERkWVUDbb379+Hl5dXru3e/1uv9v79+2b31Zce/Otf/8K7774LAOjSpQtu3ryJmTNn4r333svVE1wUJ04AXl5AWFjh9o+OBu7dk8epUsVqzSIiIiIiC6kabH18fJBhYg6sBw8eGK7Pa9/79++jV69eRttffPFFrF+/HgcPHkSTJk3M7j9ixAj4+/sbbevVq1eu4+mdOAFERMhBYIWhX1r3wAEGWyIiIiK9hQsXYuHChUbbbt26pcq5VA22QUFBJssNUlJSAADBwcFm9w0ODsapU6dQrlw5o+1ly5YFAKSmpuZ57hkzZqBWrVoWt7WwU33pBQQAFSrIYGsmOxMRERG5HFMdi/v370dtFaaSUnXwWHR0NI4fP4709HSj7Xv27AEA1KxZ0+y+derUgRAi15y1+qAcGBho1bYWNdgCXIGMiIiISEuqBtvu3bsjKysLc+bMMWzLyMhAXFwcGjRogJCQEADA5cuXkZSUhMzMTMPtevbsCQD4v//7P8O27OxsxMXFoXTp0lZN+Q8fylkRihpsq1UDjh61SpOIiIiIqIBULUWoV68eevTogXHjxuHq1auIiIjAvHnzcP78ecTFxRluN3bsWMTHx+Ps2bOoUKECAKBTp05o1aoVJk+ejOvXr6N69epYtWoVdu3ahTlz5sDDw8Nq7Tx9GsjOLnqwjYoCkpOBO3cAK45rIyIiIiILqL6kbnx8PEaMGIH58+fjrbfeQlZWFtasWWM08EtRFCiKkmvfVatWYfjw4fjpp5/w9ttv4+rVq/jvf/+LwYMHW7WNRZ3qS08/B+7Jk0U7DhEREREVnCLUXM5LA/pi5H379lk8eOyLL4APPpA9rYWdFQEAbtwAypQBliwBevQo/HGIiIiInFlh8polVO+xdQT6gWNFCbUAULq0nB3h+HHrtIuIiIiILMdgC+vMiKAXFfVPaQMRERER2Q6DLawbbCMj2WNLREREpAWXD7YPHgAXLli3x5bBloiIiMj2XD7Ynj4NCAE8+aR1jhcZKQeR3bxpneMRERERkWVcPtjqFzb73/S5Raaf8ot1tkRERES25fLB9n8r9CIoyDrH05c0MNgSERER2RaD7SU596yXl3WOV7y4DMmssyUiIiKyLZcPtsnJQHCwdY/JAWREREREtufywfbSJXWCLUsRiIiIiGyLwfYSEBJi3WPq57J1rsWKiYiIiOybywdbtUoR7twBrlyx7nGJiIiIyDyXDrZZWcDly9YPtvqZEVhnS0RERGQ7Lh1sr12T4dbapQgREYCiMNgSERER2ZJLB9vkZHlp7R5bLy8gPJwDyIiIiIhsyaWDrX5xBmsHW+CfAWREREREZBsuH2zd3ICyZa1/bE75RURERGRbLh1sk5OB8uVluLW2J58ETp3ilF9EREREtuLSwVaNxRn0wsOBBw+Aq1fVOT4RERERGWOwVTHYAsDZs+ocn4iIiIiMuXSwTU62/lRfehUryksGWyIiIiLbcOlgq2aPrb+//MdgS0RERGQbLhtsMzKA69fVC7aALEdgsCUiIiKyDZcNtikp8lKtUgSAwZaIiIjIllw22Kq5OIMegy0RERGR7TDY2iDYci5bIiIiIvW5bLBNTga8vYFSpdQ7B+eyJSIiIrIdlw22+hkRFEW9c3AuWyIiIiLbcflgqybOZUtERERkOy4dbNWcEQGQ89iWLMlgS0RERGQLLhtsk5PV77EFODMCERERka24bLC1RSkCwGBLREREZCsuGWzT0+U/tUsRAAZbIiIiIltxyWBrizls9cLDgXPnOJctERERkdoYbFUWHg7cvw9cu6b+uYiIiIhcmUsGW/2CCeXKqX8uzmVLREREZBsuGWyvXQM8PIASJdQ/F4MtERERkW24ZLC9fh0IDFR31TE9zmVLREREZBsuGWyvXQPKlLHd+TgzAhEREZH6XDLY6ntsbYXBloiIiEh9Lhls2WNLRERE5HxcMthq1WPLuWyJiIiI1OOSwdbWPbYVKsi5bK9ft905iYiIiFyNywVbIWzfYxsWJi8vXLDdOYmIiIhcjcsF27Q0IDOTwZaIiIjI2bhcsNWXA9iyFKFsWbkgBIMtERERkXpUD7YZGRkYM2YMgoOD4evriwYNGmDTpk0FPs6QIUOg0+kQGxtbpPZcuyYvbdljq9MBoaEMtkRERERqUj3YDhgwAF9++SX69euHr776Cm5ubmjfvj127dpl8TH27t2LefPmwdvbG0oRlwvToscWkOUIDLZERERE6lE12CYmJmLx4sWYMmUK/vWvf2Hw4MHYsmULKlasiNGjR1t0DCEEhg8fjv79+6NcuXJFbpO+x7Z06SIfqkAYbImIiIjUpWqwXbZsGdzd3TF06FDDNi8vLwwaNAi7d+9GcnJyvseYP38+jhw5gk8++QTCChPBXrsG+PvLmldbYrAlIiIiUpeqwfbAgQOIiopC8eLFjbbXrVsXAHDw4ME8909PT8eYMWPw3nvvWaW3FrD9VF96YWFAcjKQlWX7cxMRERG5AlWDbUpKCoKCgnJt12+7dOlSnvt/9NFHKFasGEaOHGm1Ntl6cQa9sDA5zdiVK7Y/NxEREZErcFfz4Pfv34eXl1eu7d7e3obrzTl+/Di++uorLFq0CB5WrBvQsscWkOUIwcG2Pz8RERGRs1M12Pr4+CAjIyPX9gcPHhiuN+ett95C48aN0aVLl0Kde8SIEfD39zfa1qtXL1y71gtVqxbqkEWSM9jWr2/78xMRERFpYeHChVi4cKHRtlu3bqlyLlWDbVBQkMlyg5SUFABAsJmuyy1btmDDhg1YsWIFzp49a9iemZmJe/fu4dy5cwgICECJEiXMnnvGjBmoVatWru0ffKBNj21AAODjwwFkRERE5Fp69eqFXr16GW3bv38/ateubfVzqRpso6OjsW3bNqSnpxuF0D179gAAatasaXK/8+fPAwC6du2a67pLly6hUqVKmDFjBoYPH17gNmlVY6sonBmBiIiISE2qBtvu3btj+vTpmDNnDkaNGgVArkQWFxeHBg0aICQkBABw+fJl3Lp1C08++STc3d3RqlUrrFq1yuhYQggMHToU4eHheP/991G1EPUEGRlAero2PbYAgy0RERGRmlQNtvXq1UOPHj0wbtw4XL16FREREZg3bx7Onz+PuLg4w+3Gjh2L+Ph4nD17FhUqVEBYWBjC9EWpObz11lsoV64cOnbsWKj2aLXqmF5YGHD0qDbnJiIiInJ2qgZbAIiPj8f48eMxf/58pKamokaNGlizZg2aNGliuI2iKBYtlWut5XS17LHduFGbcxMRERE5O9WDrZeXF6ZOnYqpU6eavU1cXJxRD645Z86cKVJb9Mvpatljm5ICPHpk+5XPiIiIiJydqgs02Bt76LEVAshnXQoiIiIiKgSXCrbXrgFeXsBjK/zaTM65bImIiIjIulwu2JYpI6fe0gKDLREREZF6XCrYarWcrp6fn/zHYEtERERkfS4VbLVanCEnzmVLREREpA6XCrZa99gCDLZEREREanGpYGsPPbahoQy2RERERGpwqWDLHlsiIiIi5+UywTY7WwZbrXtsw8Jkz/GDB9q2g4iIiMjZuEywTUsDsrLso8cWAC5e1LYdRERERM7GZYKt1svp6oWGysvkZG3bQURERNZ18iQwaBDw9dfAw4dat8Y1uUyw1Xo5Xb2QEHnJYEtEROQcsrKAzz8HqlcHfvkFeOst4JlngKVLASG0bp1rcZlgay89tiVKyEUaWIpARETk+O7dA5o2Bd59F3jlFeDUKeDPP4GoKOCFF4Dx47VuoWtxmWCr77EtXVrbdgCyHIHBloiIyPFNnQrs2wckJABffgkUKwZUrSp7bt9/H5g+HTh/XutWug6XCbapqbKn1N1d65bIYMtSBCIiIsd24YIMtiNHAk2a5L5+7FjA3x/44APbt81VuVSwLVVK61ZIISHssSUiInJ0Y8bITrP33zd9ffHiwKRJwIIFwIEDtm2bq2Kw1QBLEYiIiBzbb78BCxcCkyfL8TPmDBoEVK4MjB7NgWS2wGCrgdBQ4PJlIDNT65YQERFRQWVny5kPatcG+vfP+7bu7sC//gVs2gRs2GCb9rkylwm2N2/aT7ANCZFvisuXtW4JERERFdTGjcDevcAXXwA6C5JUbCzQoAEwc6b6bXN1LhNs7a3HFuAAMiIiIkc0d66cp7ZpU8turyhA797A5s1yJVRSD4OtBvTBlnW2REREjuXWLWDVKlmCoCiW79e5M/DokZwGjNTDYKuBgADAy4vBloiIyNEsWSIDat++BdsvLAyoVw9YsUKddpHkEsFWCPkNy16CraJwLlsiIiJHNHcu0LYtEBRU8H27dAHWrQPu37d6s+h/XCLYpqfLdZztJdgCnPKLiIjI0Rw/Duzenf9MCOZ07SqX4N240brton+4RLBNTZWX9hRsuUgDERGRY4mPB0qWBDp1Ktz+UVFy0BnLEdTDYKsRliIQERE5juxsGWx79gS8vQt/nC5dgJ9+knW6ZH0MthrRlyJwFRIiIiL7t2MHcOFC4csQ9Lp2leN+tm+3TrvIGIOtRkJCgIcPgevXtW4JERER5WfNGjlgrGHDoh2nZk0gPJzlCGpxqWDr769tO3LiIg1ERESOY+1aoF27gs1da4qiyONs3WqddpExlwm2fn5yvWZ7ERIiLzmAjIiIyL6dOwccOSIDqTU0bgwkJQE3bljnePQPlwm29lSGAADlywNubuyxJSIisnfr1sm/2W3aWOd4+nKG33+3zvHoHwy2GnFzk7U67LElIiKyb2vXyl7WkiWtc7xKlYBy5YDffrPO8egfDLYa4ly2RERE9i0jA9i8GWjf3nrHVBSgUSO52ANZF4OthjiXLRERkX1LSJCrhVkz2AKyHGHPHiAz07rHdXUMthrisrpERET2bd06+Qtr1arWPW6jRjIw//WXdY/r6lwi2N68aZ/BlqUIRERE9m3tWtlbW9Rpvh5Xuzbg4cE6W2tziWBrzz226enA7dtat4SIiIged/o0cOyY9csQALksb61arLO1NqcPtkLIpevsNdgCrLMlIiKyRxs3yjnwW7VS5/iNGrHH1tqcPtimpwNZWfYZbLlIAxERkf3avh2oUwcoUUKd4zdqBJw9C1y6pM7xXZHTB1v9crr2GGyDg+Ule2yJiIjsixAy2DZvrt45GjWSlyxHsB4GWw15ewOBgeyxJSIisjcnTwIpKUCzZuqdIzgYqFCBwdaaGGw1FhLCHlsiIiJ7k5AA6HRyxTE1sc7WuhhsNca5bImIiOzP9u1AzZrWW0bXnFq15Fy22dnqnsdVuEyw9ffXth3mcC5bIiIi+5OQoG59rV61asDdu3IQGRWdSwRbPz85XYc94rK6RERE9uXcOfnPVsEWAP7+W/1zuQKXCLb2WoYAyGB77Rrw4IHWLSEiIiJAliEAQJMm6p8rOFjmFAZb67BJsM3IyMCYMWMQHBwMX19fNGjQAJs2bcp3v82bN2PgwIGIiopCsWLFEBERgSFDhuDy5csWn9veg61+LlvOYUdERGQfEhJkT2rp0uqfS1HkuRhsrcMmwXbAgAH48ssv0a9fP3z11Vdwc3ND+/btsWvXrjz3GzNmDBISEtCtWzfMmjULL774IpYsWYLo6GhcuXLFonPbe7Dl6mNERET2Zft2daf5ehyDrfWoXnmamJiIxYsXY/r06Xj77bcBAP369UPVqlUxevToPMPtjBkz0OSx3wGee+45NG/eHF9//TU+/vjjfM/vKMGWA8iIiIi0d+mSnMP2s89sd85q1YDZs4GMDMDLy3bndUaq99guW7YM7u7uGDp0qGGbl5cXBg0ahN27dyM5j67Kx0MtADRt2hQBAQFISkqy6Pz2HmxLlJD/GGyJiIi0l5AgL5s2td05q1UDsrKAo0dtd05npXqwPXDgAKKiolC8eHGj7XXr1gUAHDx4sEDHu3PnDtLT01GmTBmLbm/vwRbgzAhERET24rffgMhIoHx5252zalV5yXKEolM92KakpCAoKCjXdv22SwUcNTVjxgw8evQIPXv2tOj2jhJs2WNLRESkvT17gPr1bXtOPz+gYkUGW2tQPdjev38fXiYKRry9vQ3XWyohIQGTJk1Cz549ERMTk+/thXCMYMtldYmIiLSXkQEcPAjUq2f7c3MAmXWoPnjMx8cHGRkZubY/+N/ErT4+PhYdJykpCV26dEH16tXxn//8J9/bjxgxAsWL+yMrC/jPf4B164BevXqhV69eBbsDNhAaClgw+xkRERGp6K+/gIcPtQu28fG2P68tLFy4EAsXLjTaduvWLVXOpXqwDQoKMllukJKSAgAIDg7O9xgXLlzAs88+i1KlSmHt2rUoVqxYvvvMmDEDpUvXQni4HNnYtm2Bm24zoaFASoosHHdz07o1jiczE/jzT2DnTuDOHaB//39mmyAiIrJUYiLg4QHUqGH7c1erJn+9dYRfmgvKVMfi/v37Ubt2baufS/VShOjoaBw/fhzp6elG2/fs2QMAqFmzZp7737hxA88++ywePXqEDRs2oFy5chafOzVVXtr7CyQkRIZaC6fmpf8RAvjwQ8DfH6hTBxgzBpg8GQgPB158EfjjD61bSEREjiQxUYba/1VL2pR+ad1Dh2x/bmeierDt3r07srKyMGfOHMO2jIwMxMXFoUGDBgj539Jbly9fRlJSEjIzMw23u3v3Ltq3b4+UlBSsXbsWERERBTq3owRbzmVbcFlZwKuvAh9/DLzxBrBrF5CWJucf/OILYN8+oEEDYOlSrVtKRESOQouBY3qVK8veYtbZFo3qpQj16tVDjx49MG7cOFy9ehURERGYN28ezp8/j7i4OMPtxo4di/j4eJw9exYVKlQAAPTp0wd//PEHBg4ciMOHD+Pw4cOG25coUQKdOnXK89yOGGy1qOtxNA8fAi+9JEPr3Lmy9EDPywsYPlyG3f79gd69AV9f4PnnNWsuERE5gFu3gGPHgPfe0+b8Hh5AlSoMtkWlerAFgPj4eIwfPx7z589HamoqatSogTVr1hgtwKAoChRFMdrvzz//hKIo+OGHH/DDDz8YXRceHm5xsPX3t879UEvp0jKQcWYEywweDKxcCSxbBnTpYvo2bm4y9N67B3TrBvzyC9CqlU2bSUREDmTvXnmpZQcTZ0YoOtVLEQC50tjUqVNx6dIl3L9/H7///jvatGljdJu4uDhkZWUZemsB4MyZM8jKykJ2dnauf6dPn873vKmpclUvd5vE98JTFFlny1KE/G3eDMyfD3z/vflQq+fuDixcCMTEAB07AidO2KSJRETkgBITgZIlgago7dpQtaqssRVCuzY4OpsEW63cumX/vbV6nMs2fxkZssSgaVPj8oO8eHkBy5cDZcvKmlx+WBARkSmJiUDduoBOw2QUFSXHi1y/rl0bHJ1TB9vbt+W3L0fA1cfy9/nnwMmTwLffyl5uSxUrBnz3HbBlC7BggXrtIyIixySEHDim9TgXfW8xf2EsPKcOtmlpDLbO4uxZ4JNPgJEj/1lTuyCee05OAfb22/wmTERExi5eBC5f1j7Y6id/On5c23Y4MgZbO6EvReBP5aa9+y4QEABMmFD4Y8yYIRdzePdd67WLiIgcX2KivNQ62Pr6AmFh7LEtCgZbOxEaCjx4ANy8qXVL7M/p07JOdsIEoHjxwh+nXDlg6lQ5W8Lvv1uteURE5OASE+Xf4aAgrVsCREayx7YoGGztBBdpMO/bb+UgwD59in6sQYOAp5+WCzsQEREBMthqtTDD46KiGGyLgsHWTvxvATbOjPCYu3eB//s/OXetr2/Rj6fTAe+/D6xdC+zfX/TjERGRY8vKknPYal2GoBcZKQdKZ2dr3RLH5NTB9vZtwM9P61ZYpnx5GbrYY2tswQL5PL7+uvWO+cILwJNPysFoRETk2o4eBe7csa9ge++eXCKeCs5pg60QjtVj6+4ua3sYbP8hBDBrllxcITzcesd1d5dLJq5cyRVeiIhcXWKinEKydm2tWyJxyq+icdpgm5EBPHrkOMEW4CINj9u2DTh8GHjzTesfu29fGZY//dT6xyYiIseRmCjHXpQooXVLpEqV5C+4rLMtHKcNtnfuyEtHCracy9bYrFnAM88ALVpY/9geHsDYscCSJcCxY9Y/PhEROQZ7GjgGAJ6eMtyyx7ZwGGztSGgoe2z1bt4Efv4ZeOWVgq0yVhADBgCBgcA336hzfCIism/37gF//WU/9bV6nPKr8Bhs7UhICHts9VatkiNVe/RQ7xxeXsCQIcC8ef+8XoiIyHUcOCD/1thbsI2KYo9tYTltsL17V146yqwIgOyxTUtjyAKApUuBpk3lbBFqGjpUPt4//qjueYiIyP4kJgLe3oVbql1NkZHAqVNytUwqGKcNto7aYwuwHOHmTWDTJjktl9oqVAA6dJDlCFzOmIjsVXY2sHu3/Kxatkz+95UrWrfK8SUmytkQPDy0bomxqCg5AP78ea1b4nicPtg6Wo8twHKE1avlT0PdutnmfK+/Lmusdu+2zfmIiCx16pScGaZCBaBRI2D4cFmi1aiRnCLy5Zf5N6MoEhPtrwwBkD22AOtsC8Opg22xYnLOUkeh77F19Q+pJUtsU4ag16YNEBEhl+4lIrIXCxYANWvKHtpu3YDt24GHD4EbN+SX8ZkzgV9+kb1748fL68hy164Bp0/bZ7CtUEHOjsA624Jz6mDrSGUIgKzzKV3atUsR9GUIag4ae5xOB7z2mqzrvXbNduclIjIlPR146SWgXz+ga1fZazdzJtCsGeDmBgQEANWqyZ7ckyeBkSOBqVNl+RbDreX++ENe2mOwdXOTHS7ssS04Bls74+pz2dq6DEFvwAA5rdjcubY9LxFRTnfuyF+RVq4E5s+Xs7bktXCAn59caGblSmDdOobbgkhMBMqUkXPG2iPOjFA4Th1sHam+Vs/Vg61+NoSgINuet3RpoHNnGWw5iIyItPDwofxSf/gwsHWrXCHRUu3bM9wWlL6+Vq250ouKc9kWjlMHW0fssXXlZXXT02UZQvfu2px/wADgyBFg3z5tzk9Eris7G+jfXy4lvno1UKdOwY+hD7dr1wIffGD1JjoVIex34JheZCRw7hy/pBQUg62dceUe2y1b5PQm7dtrc/42bWRPMcsRiMjWRo+WA2d//BFo2bLwx4JZxqcAACAASURBVGnfHvjkE2D6dDnYjEw7fVoOwrPnYPvEE/ILD6f8KhgGWzsTGgpcveqa39A2bJDF8hER2pzfzU0O1li4EMjI0KYNROR61q0DPv9chlFrjC8YNUqWdL30klz0h3JLTJSXdetq24686Gt/z5zRth2OhsHWzuin/Lp0Sdt2aGHDBqBtW23b0L+/nJlhzRpt2+GshHDNL21E5ly5Isug2rUDRoywzjHd3ID4eCA1Vc6cQLklJsoe0TJltG6JeWFhctaes2e1boljcdpge/euYwZbV12k4eRJ+dPQc89p246nn5bf4OfN07YdzuLPP+VURJUqyfejuzvg5SWnKho1Cti4kUtGkusSAhg4UP53XJx1BzFVrAh8/bWcWWHVKusd11kkJgL162vdirx5esrOLvbYFozTBltHnhUBcL0BZOvXyyUNW7TQuiWy13btWi5XWRTbtwO1asnJ5X/8EejYEZgwAfjuO+A//5FfHhYvlj300dGyvprI1XzzjfysiYsDypWz/vH79ZPvsXffleMXSHr0CNi/377ra/UqVWKwLSinDbYZGY7ZY+vnBxQv7no9ths2AI0by/uutRdflD/l/fe/WrfE8Tx8CIwdK7+g+PrK0d0XL8rJ5d9+Gxg6FBg0CPjhB+DCBeD33+X7tFUrORG9q73uyXVduACMGSOX9FZrwKyiyIUbTp0C5sxR5xyO6O+/gQcPHCfYshShYJw22AKOGWwB15sZ4eFDOWej1vW1eqVLA88/z2BbUGfOyJ/2vvgCmDJF9tp27Ch74k1RFHn7HTtkr+6ePbInl9Ot2Z4QshTo99+BvXuBAweA69e1bpVzGzlSdmR89pm656leXQ4imzRJTqlIsgzBzU3+WmTv2GNbcAy2dsjV5rLdtUvWRNtLsAWA3r3lT1VJSVq3xDGcPQvExMg/nL//LqcucnOzbF9FAXr1kmGqYkW5bOjq1Wq2lgAZZn/5BRgyRA6iiYgAGjaUXy5q1QLKlgUaNZLBi6sfWdeGDcDy5XImBFv8nfr4Y+D2bWDaNPXP5QgSE2Xg9/HRuiX5Cw+XZXH37mndEsfBYGuHXK3Hdv16WV9Wo4bWLflHhw6yN+XHH7Vuif07d06GWg+Pf2prC6NsWdlz37490KULMHu2VZtJOWzbBjRoIF/nu3bJnvWffgL++kt+wfjjD+D//k/O6zx5MvDUU8Abb7AX1xoePACGDZPlOr162eacYWHAW2/JIJ2SYptz2jNHGDimp5/yi+UIlmOwtUOuFmw3bACefVZOa2IvvL3lfJI//sgldvNy4YL8A+3mJkOpfrq6wvLxkYPKhg2TtYdLllinnSRdvQrExsrnTAg5aO/IEVkDHRsrZ6uoWVOuevXyy7JX8do14F//AhYskCshffMN3xNFMW2aDClff23bpVzHjZMzkqhd+mDv0tPla94R6msBBtvCsKMoYX2OGmxDQuS36qwsrVuivqtX5ZRQ9lSGoNe7txx0oZ/Im4w9eCB7VrOyZKgNC7POcXU6YMYM+fj37Qts3myd47q6xESgdm15uXSprGm2ZBYSb285NdvJk8ALL8gvHf37y+efCiY5WfaAjxwppxa0JX9/OaftDz/IFbdc1d698ouZowTb4GD5axjrbC3n1MHWEaf7AmSPbWamDH3OLiFBXsbEaNoMk1q0AMqXZzmCOSNGAIcOybXpK1Sw7rF1OvkHuGVLGZ7377fu8V3Nv/8tV6IKDZWPZffuBe8tDAwEvv9ersy3dKl8f1y+rE57ndXEiXK2kPff1+b8w4bJJVq/+06b89uDxEQ5+06VKlq3xDJubnLsAYOt5Zw22Hp4yJ9dHJErzWW7fbsctFLUn7DV4OYmp/5atIiLCDxu/nwZcmbNKnxNbX48PYFly+QfoE6d5E/iVHBTpshp1gYOlLW1RX2vvfii/EJ67pysU+RPpJY5ckR+WRs/XrtfEwMD5Spns2a5bo97YqIcIGnp4FZ7EB7O91lBOG2wtYf5UAtL/4fHFepsExKA5s21boV5ffrInnP+HP6PQ4eAV16RP0cPHqzuuYoXlz3CGRmyLMEVynOsaepUWVv54Yeyl85aX/br1pUBwcMDaN2aA5IsMXas7Hl79VVt2/H22/JL4vz52rZDK4mJjlOGoMcpvwqGwdYOlSkje6suXNC6Jeq6eVNOlN2smdYtMa92bSAqiuUIeo8eyYAZEQF8+61tBr+EhMjH/9df5bRFZJlp0+QCAOPHy5/ArS00FNi0Sfb8PfusfD+TaTt2AD//LAduaf1LYmQk0LmznCEhO1vbttjapUuyw4jB1rkx2NohnU4OxHH2YLtzpyzit+dgqyhyENOKFZxHEJBh6dAhYN48WStoK61bAx99JP9t2GC78zqquXPlXMLvvy8n5lfrC0h4uPzCcfky0K4d3yOmCCGfi9q15eA7e/Duu8CxY8CaNVq3xLb0A4EdMdimpgJpaVq3xDEw2NqpChWcP9gmJMgAHx6udUvy1rs3cOeO6/0ReFxSkgyWo0apV1ebl/fek7Nn9OvnGgMrC2vHDllTO2SI7OFWu1f9qafkl41Dh+Q5ORWYsV9+kYuWTJliP1MaNmwoF9+YOVPrlthWYqKcm9kex3TkRf83knW2lrGTt5n1OXqwDQsDzp/XuhXq2r5d9tbaci7HwoiMlDWFrrzEbna2DC1hYer8rG0JnU72RAoh6xQZoHI7fVrOItG4sZxv1lbvrVq15IIOP/4IfPWVbc7pCISQ75emTYFWrbRujbHXXpPzGLvSqnL6hRns/W/O4/Rz2bIcwTIMtnaqQgXnDrbp6XLaIXseOJZTnz7AunWuW0c4e7YsHfnPf7RdhrJcOdmWlStdd/CLObdvy0UWSpWSCyt4eNj2/C++KHvzR42SX1pJ1tXu26duOUhhde8OBAQAc+Zo3RLbyM6WK+o5WhkCIFdl9PVlsLUUg62dqlBBFro/eqR1S9Sxa5f8oLHn+tqcevaUI/KXLdO6JbZ344as1Rw82D6+iHTrJgewvfmm85frWEoI2aN+8aIsmQkI0KYdU6bI9/QLL8jPL1em761t3tyyhTBszdtbzmwyd66cdcTZHT8uv/w5YrBVFE75VRAMtnaqQgUZ/Jz1j0NCgux9i4rSuiWWKV9e/pToiuUIEybI1+Knn2rdkn/MmgWUKCHnZmVJgpxTeMkSWQ5QubJ27XB3l0siu7nJ+VJdbdR9TqtXAwcOyN5aezV0KHD9uhwc6+z27JGXdepo247C4swIlmOwtVP65UmdtUfKUeprc+rTRwZyZ31OTDl8WP70P368/DnMXvj7yxC3aRMQH691a7R18KBcBe711+XPy1oLDATi4uRsCV9/rXVrtJGdLb8QtmhhH79ymFOlimzf999r3RL1JSbK+6vV4hhFFR7OYGspBls7pQ+2zlhne++erHVylDIEvS5d5M93Cxdq3RLbEEJO5l6pEjB8uNatya1tW/llQz/hvCtKT5c/+z/9tJyX1F60bStfM6NHyy9HrmblSuCvv+y7t1Zv6FDZ0ZCUpHVL1KUfOOaoKlWSpQj8hSp/ThtsixXTugVFU6KEHATijME2MVHWDjdtqnVLCsbPTw7OcZXFGtauBTZuBKZPlwuG2KMvvpCXb7+tbTu08tZbctWvJUvkly57MmXK/7d373FR1ekfwD8DKCCoKKDcVMwgzUzRvKZFpGW5Whqi2C7mJS1Lsy21LLPSLtq2y+rqlpampmQiq79Ks1ITaxFIqbZMUSs1IRUVr0Bczu+PpyGRizPMnDmX+bxfL15ThznnPHgY5pnveb7PF7j2Wvnw4Q41nFYVFVJb27+/Mf7G3XcfEBho7klkxcXAN98Ys77Wqm1baTt56pTWkeifaRNbo4/YAubtjJCRIYn7DTdoHYn9Ro2SP5BmH4UqL5cm7rffDgwZonU0tWvRQkYq331Xbn27kw8+kFv+ycmSQOqNr6/UpO/dC8ydq3U0rrN+vfT0NcJoLSAroSUlyWvIrJOVv/lGfjYjJ7Zt2sijGXMCZ1M9sS0pKcGMGTMQFhaGRo0aoVevXvjss89s2rewsBATJkxAcHAw/P39ERcXh5ycHJv2NUNia9ZethkZ8gfG01PrSOx3111S32n2Udv33gN++AF45RX910GPHi21jA895D4rXxUUSBeEQYNkAp1ede4sC2u8+qoke2ZXUSEJ7R13yAIIRjF6tJTzmHVVv8xMSeBvvFHrSOqvdWt5NGNO4GyqJ7YPPPAA/vGPf+Avf/kLFixYAE9PT9x999348ssv69yvoqICgwYNQkpKCqZMmYL58+fjxIkTiI2NxcGDB696XjMktmZcfUxRJLHt3VvrSOrH2xsYPlwSW7PWOpWVyZvzkCGyMIXeWSwywe3YMVkZzewURZrrl5YCS5fq/4PH00/LIicPPih3Asxs3Tq5m2OU0Vqrzp0l6VuxQutI1JGVBcTE6LekyhZBQVJuxMTWBoqKMjMzFYvForz++uuV24qLi5Vrr71W6dOnT537rl27VrFYLMr69esrt508eVJp1qyZMmrUqFr32717twJA+fjj3Y7/ABp79VVFCQjQOgrnOnBAUQBF+egjrSOpv+3b5Wf44gutI1HH8uXy8+XkaB2JfebOVRRPT0X5+mutI1HX6tVyfdau1ToS2+3cKTEvXKh1JOopK1OUDh0UZeBArSOpn9dfV5SGDRXl9GmtI3G+qChFmTxZ6ygcFxWlKE88oXUUzmPN13bvdm6+puqIbWpqKry8vDBhwoTKbd7e3hg3bhwyMjJw7NixOvcNCQnBsGHDKrcFBQUhISEBGzduROlVioHMMmJbWChNpc0iI0Mee/XSNg5H3HKLrDVuxnKE0lIZ9bzvPqBLF62jsc+0adLOx8wjg8eOAY88Iqt8JSRoHY3t+vaVUpGnnzbfXSir99+X8h2jjdZajRold2vWrtU6EucqKJBlg438nmNlxru4alA1sc3JyUF0dDT8r8gyu/9+f/Prr7+uc9+uXbtW2969e3dcunQJubm5dZ5bbzOE68NaU2OmX+SMDGkgr9XKSM7g4QEkJsobmdkmWyxfLi1lnn9e60js17ChzOzOzgYWL9Y6GudTFFn9zdcXWLRI62js9+qr0llk0iTzlfGUl0tCO2iQcScohYRImzaz9YXetUsejVr+djmzTih3NlUT2/z8fISGhlbbbt2WV8eyWo7sC+i/7swWZlykwcj1tZe7/34ZCTDTTPySEpm9PmKEMTtWADJh5+GHZcKSmV43gCTtH38MvPWWMT8YNm0qCfmHH0otqpmkpAD79xvzA+HlRo+Wv9EHDmgdifNkZMgql5GRWkfiOLNOKHc2VRPboqIieHt7V9vu8/twalFRUa37FhcX13tfswgLk9FBs/wiX7ggTcvNkNh27gx06GCuJXbfektudc+erXUkjnnlFfONDB46BDzxhIzY3n231tHU3733AsOGAZMnA6dPax2Nc5SVSfnO4MHGXa7VasgQee2YadTWOphihsGu1q2lb/Vvv2kdiXP8/LM6x/VS57DC19cXJTV05i4uLq78vhr7AsDUqVMREBBQZVtiYiISExOvGrdeeHlJLadZEtvsbGmHY4bE1mKRUduXXwYuXjT+giBFRfKz3H+/1KkamXVkcOhQGRk0Ui1qTcrLgTFjZKla64IURrZwoayUNm2aLItsdGvWyAjne+9pHYnjfH3l9fLuu5KsGz0ZLCuTjgjPPad1JM7RurV8WM/LM94IdEpKClKuWLYzO7tQlXOpmtiGhobWWDKQn58PAAgLC1NlXwBITk6usUbXaMxUU2NdmOH667WOxDlGjQKefRbYuFH+28jefBM4ftw8bwCXjwz272/MW/dWycnAF18A27fL68fowsKA+fOBiRPlg1RcnNYR1V9ZGTBnDnDPPYAJ3m4AyDV56y2pTTX6IMR338nAg9F/DqvLe9kaLbGtaWDx7rv3YPPmbk4/l6qlCDExMcjNzcX58+erbM/MzAQAdKlj2nWXLl2wZ88eKFfcS8zMzISfnx+io6OdH7AOmammJiND1uo24sIMNWnbVv5gGr07wsWLcvt+9Gh9rmBVXwsXSt3wtGlaR1J/338PPPMMMHUqcOutWkfjPOPHS3eRiRPlboFRrVwJHDxo/Nray/XrJx8+rhhcM6SMDLnzafQSESvrvBuz5AQXLqhzXFUT2/j4eJSXl2PJZYtQl5SUYPny5ejVqxfCw8MBAL/++iv27duHsrKyKvseP34caWlpldsKCgqwbt06DB48GA0aNFAzdN0wS3sPRTHHCMCV7r9fVuspKNA6kvpbvFjqHWfN0joS57KODC5bBmzbpnU09istlaVOr7kGeOklraNxLg8PuUtw5Ihxf7biYklohw83Xmu8unh6ygTStWtlRNrIMjLk2lylctEwGjUCAgOZ2F6Nqoltjx49MHz4cDz99NOYMWMGlixZgri4OBw5cgTz58+vfN5TTz2F66+/vkrpQXx8PHr16oUxY8Zgzpw5WLx4MWJjY6EoCl4waqPAerAmthUVWkfimIMHJfkzW2I7fLgk7e+/r3Uk9XP+PDBvHjBunPFubdnCOjI4YYLxRgZfeknWuF+50jxvzJdr3166V8ybZ8zldt94Q2od58zROhLnGzUKOHFCyl+MzCxdeC5nlsEuQN5/1KD6krorV67E1KlTsWrVKjz22GMoLy/Hhx9+iL59+1Y+x2KxwHJFlbqHhwc2bdqEESNGYMGCBZg+fTpatGiBbdu2ISoqSu2wdaN1axm5OX5c60gc83v1CXr21DYOZ2vRQtaFN2o5wsKF8sflmWe0jkQdHh7SJuuXX4y13O5XX0nrtWeeMc9t1Jo89ZSUvzz4oLE+vJ8/Lx88HnhA+nKbTbducl2M+ncNAE6elAEVMya2HLGtm+qJrbe3N+bPn4+8vDwUFRVh165dGDBgQJXnLF++HOXl5WhtrYz+XUBAAJYuXYqTJ0/iwoUL2LZtmykmhNnDLDU12dnyh9LIk3hqc//9wJdfqte6RC1nzwJ/+5uMZlp/z8zouuukzOK114A61oTRjaIiKUHo3FkmJ5qZt7d88Ni1S0ZAjeIf/5Dk1uit8WpjsciobVqalFwYkZkWZricmebdGDaxJceYZfWxrCzjrshzNffcI7VPRptskZwsSdTTT2sdifqmTZO+ww8+qP+6wWeflb61K1cC7jCVoF8/+XD19NPSR1nvCgrkA+GkSeb+QJiYKMu5b96sdST1k5Ehq6m1aaN1JM5llhFbRZGJy2pgYqtzzZpJj1Qj/yKXlgI5OcDvKymbjr+/JLfvvmucBQFOn5aeqA8/LJOszK5hQ2lhtHu3jNzq1Y4dMho4dy7QsaPW0bjOq69KHfGUKVpHcnXWmlqzfyBs314mXhm1HMFMCzNcrnVr+cBx9qzWkTjm4kX13i+Z2OqcxSKfOI12m/ty//uftF0y64gtIK2y9u6VP6ZG8PrrMnI5Y4bWkbhOz57y8z73HLBnj9bRVHfmjPwe9ekD/PWvWkfjWs2aAQsWyK3vDRu0jqZ2P/wgi388+6wsmGF2o0bJEsjnzmkdiX1KS+UuodnKEADz3MVVMzFnYmsAkZHGTmyzs6WFjJla4lxpwADpa3tZZzvdKigA/vlP4NFHZQ11d/LCC0CnTlIXfemS1tH8QVFkdbGzZ2WZZrP0erbH8OHAoEHye6nXROqJJ2Sg4bHHtI7ENUaMkBrbjRu1jsQ+e/bI6/uWW7SOxPnMMu+Gia2ba9sW+OknraOov6wsSSYaNdI6EvV4eEj95tq1MvKmZ/Pny50AIy9cUF8NG0ri+PPPwPTpWkfzhwULJHl45x3z1QTaymKR0dDCQmkDpjebN8vXa6/JpDd30Lq11EAbrRwhPV1K+Mw41zw0VD74MrGtHRNbA7Amtkap37xSdrZ562svN2aM3N5ftUrrSGp3/Djwr3/JiFNQkNbRaKNDB5n8s2iR3GbVWna2fMiYOlVqtd1ZmzayCt6iRcDWrVpH84fSUikPiY0Fhg7VOhrXSkwEPv1U2mcZxY4dUtJjxsmXnp5ARAQT27owsTWAyEgptDbi6lYXL8qyoGaur7UKCQHuvVdWVNLrh5BXX5U/9k88oXUk2po0CRgyBPjzn6XXpVZOngQSEqRMZ9487eLQk0ceAeLi/ijN0INFi4D9+2Vin9kmI11NfLw8rlunbRy2Ki8HvvjCnGUIVmZYpIGJrZtr21YejVhnu2ePNF53hxFbAJg4USaRffml1pFUd+wY8O9/y8hTs2ZaR6Mti0XaabVoISNwavVTrEtJCTBsmNQCrlsnZRIkZT3Ll8sbnx5qWX/+WRbKmDTJ3PMEahMcLIvQGKWd4bffyu+OmRNbM/SyVbOOnomtAVgTWyPW2WZlSRsfd2ldFBcHtGsno7Z688orUuc8darWkehD06bAf/4jr6tx41w7yq4o8iEoO1u6ALhrXW1tWreWuuMVK7TtkqAo0mM3MFBeP+4qMVFGQY2QTKWnSw20me8SmqGX7dmzUgetBia2BtCsmbwJGzGxzc6WAn4vL60jcQ0PD3kjXLdO1lrXi8OHgaVLpZazaVOto9GPjh1lwtb778sSqa4yf74kbW+/bc6WRM6QlCSlPePHa/cmvnKl1Je++SbQuLE2MejBvfcCPj7Ae+9pHcnV7dghrf18fLSORD2tW8sy4eXlWkdSf2fPSg94NTCxNYjISGMmtmZecaw248dLIr9okdaR/GHWLPmANHmy1pHoT3y8tAGbNcs112zJEuCpp6QX6v33q38+o7JYZFENPz+pQ/7tN9ee//hx4PHHpQ77rrtce269adwYGDxY/+UIiiIjtrfeqnUk6mrdWiYqHz+udST1x8SW0Lat8WpsCwokGXeX+lqr5s3l1vaiRfrolfrNN7Iq2uzZ6v0hMbpZsySJefRRdbtavPWWlCBMngy8+KJ65zGLwEC5+7FnD/Dkk647b0WFvIY9PWXCGEk5wtdfyyIVerV3L3DqlLnra4E/etkePqxtHI5gYkuG7GWbnS2P7pbYAlLHeuaMTILR2owZQFSUjCRTzSwWWY1t7FiZjf/++84/x7Jl0uv4kUdkgQx3m11fXz16SHK5cKH0iXaFV18FPvpIykXctS3ele66S8qY9Dxqm54ud8vMXt4TESGPx45pG4cjmNhS5YhtRYXWkdguO1tuf7drp3Ukrte2rayk9Pe/a1sHtXUrsGWLTHwxY09HZ7JYpExgxAj5evll50woKy+XsoNx44CHH5YEjUmtfSZNkhHDsWOBzEx1z7V1q4zgz5oF3H23uucyEh8f6eKRkqLfdoY7dgA33aTepCS9aNZMJmUbObE9d46Tx9xeZKTUmOXnax2J7bKyZLTWXd/Ep00DfvxRZt5roaJCVtfq3dv9msrXl6enlCI895y0ePrzn4Giovof79QpWSb2lVdkFHDRIvd9PTjCWm/bpYv8e+7fr855jh2TBPr226V0h6oaNUr6Pn/1ldaRVOcu9bWAvB7Cw2UCmVFxxJYM18tWUWTE1t0mjl2uWzfgtttkCU4tRjjefVdqE+fNYzJlDw8PmUz23ntAWpqMAH36qX3HUBT5QNOtmyQBW7ZISQivQ/01agR88AHQsqX0VXX2aNWZMzJByttbll329HTu8c3gttvk31+P5Qj798vAjzsktoCUIzCxrRkTW4OIjJRHo9TZHjki7a7csb72ctOny8j1li2uPW9hoYwYjxwpa72T/UaMAHbtksmAd9whK5X97391f0hRlD+W8xw2DIiOBnbvBvr3d13cZta8ubyWFAW4804gL885xy0slGt85IjU1gYHO+e4ZuPpKR0q1q7VX6upLVtkkROzTxyziogwdikCE1uCv7/8sTVKYuvOE8cud+edkljOmOHaN4Jnn5Vb6K+/7rpzmlHnznJ78/33ZUWjG2+UiXhTp8ps/f/7P2DTJhkdHztWFlqIjZVWPJ99BnzyCRdfcLaICElizp6VfqXffOPY8c6eldfpoUNyzW680TlxmtWoUfKBIj1d60iq2rJF/taavb7WysilCIoirzu1ekMzsTWQyEjjlCJkZckbUGio1pFoy2KRUoRvv5XkxxX27JGlc194AQgLc805zcxikYmA+/YBH34IDBgArF8vI1f33CM1n3/5i5QcxMfLG2xWltRpkjo6dJBJZMHBQN++wMcf1+84+/bJB5HcXElq3XHJXHv17CmlcXoqRyguBj7/XD6guAvriK1eJ/LVpbgYKC3liC3BWC2/3L2+9nI9e0rCM2uWYxORbFFRITPIO3bkYgzO5uMjSey//y23rE+dkgbpx47Jf3/7rXTBuOMO1tK6QliYjBredpt0L5g4ETh50rZ9FUWuY9eu8pr8/HP5b7o6i0Um2KWmun7RjNp88YVcR3dLbH/7TfrFG825c/LIrghkmMS2vFzqCt29DOFyL78sExsWLlT3PIsXy0jW4sXus4yxFiwWqfds0UISrObNtY7IPfn7yyS95GQpF4mKkg8XtSW4JSWSkMXFyQfAMWPkDkfnzq6N2+hGjZLJdh99pHUkYssWuTvYqZPWkbhOeLg8GrEc4exZeeSILaFtW+DoUanf07P9+4Hz5zlie7moKOChhyTBtXVUyV7ffy8Txh55RG7PErkDT09gyhQpJxg5Ul4DLVtKN4sZM6Rt11//CiQlSfIzfLjcCt20SdqvNWqk9U9gPB07yr/vihVaRyK2bJHRWne6U2JdpIGJbXVMbA0kMlJGQ/X+i2ydONatm7Zx6M1zz8ko6kMPOb8uqrhYbg+2ayc1vUTuJjgYeOMN+fu4fDlw3XXAmjWy4tvmzVJP++CDsuxqRoaspEX1N3q0jNiq9UHdVseOSbcSdypDAORukZeX/vOBmjCxpUrWXrZ6L0fIygLat5flF+kPwcHAm29Kb9SVK5177KeflhGrNWtkRRoidxUaXF/fZQAAIABJREFUKknX6tVyh+voUeCHH+Tv0rx5MvGMHJeYKCOka9ZoG8cnn0gcAwZoG4ereXrK77oRW34xsaVKbdrIC1jviW12Nutra3PfffKmO3my867jhx9KjeG8eWxVRESuERgoC1q88462cWzZImURgYHaxqEFoy7SYE1sOXmM4O0tE1X0nNiWlABff8362rr8858y2Wj0aMd722ZkSNupe++VOkMiIlcZPVr+3jvaS7i+ystlVUB3K0OwMnJi26iRehOcmdgaTNu2wI8/ah1F7b79VvrTccS2dk2bAqtWSYuaSZOkRVd9fP+9tJ/q3l1uB7rTxAki0t5dd0mJlVaTyLKygNOngYEDtTm/1sLDjVmKcO6cuqWKTGwNJioKOHBA6yhql5UFNGjA9jlX06+fTGpZuhR4+GH7k9uffpJ+qa1by+pXrKslIldr0AC4/36pZy4tdf35160DQkKAXr1cf249iIiQGnKjLdJw9iwTW7pMdLQktnr9Rc7OljpPHx+tI9G/Bx6oX3L7f/8nNWW+vrLiEifpEZFWHngAOHFCav1dqaJCEtv77pOJVO4oIgK4ePGPBQ+MgoktVREVBRQW6ne1kaws1tfa4/Lk9pZbZHGF2hQXy6Sze+6REd/MTBmtICLSSufOMmL673+79ryZmVJfmpDg2vPqiXWRBqOVIzCxpSqio+VRj+UI585Jr0jW19rngQdkAsT58/IGMWKErKaUlSV/uLdsASZMkLKDpUuBf/1Lvu+Os4CJSH8mTZK/Ybm5rjuntQzh5ptdd069MeoiDUxsqYp27eTRlX9AbLV7t5RIcMTWfrffLkt7LlsGfPklMGwY0LMn0KqVTIzYtk2W//z6a1lZjBPFiEgvhg+XD9pvvOGa81VUyNLI7lyGAEiXJMCYiW2TJuodn6vJG0yjRpLs6HHENjtb+tK1b691JMbk6SnJ6+jRwKlT8scqL08+ld94I5NZItInHx9g3Di5ozR3rvrLFGdmyqQpdy5DAICGDWUFMqOVIrArAlUTFaXPEdusLJnU5M6foJ3Bw0Na6MTESDuvzp2Z1BKRvk2cKPM/1q5V/1wsQ/iDEXvZshSBqrF2RtAbrjhGROSerrlG+touXqzueViGUBUT2+qY2BqQtZetnlp+HT8OHDnCxJaIyF1NmgR89VXd3V0clZHBMoTLGW2RhtJSoKiIiS1dIToauHRJ6i/1IjtbHjlxjIjIPQ0cKO9Pr7yi3jkWL5ZJ1H37qncOIzHaiO3Zs/LIxJaqiIqSRz3V2WZlAUFBQJs2WkdCRERa8PQEZs4ENm6U5dWd7ddfpb72kUdkLgJJYnvqlIyCGgETW6pR27byotZTnW12tozWcpITEZH7GjVK3qNeesn5x37zTekEMGaM849tVNZFGvR0B7cu1lXS1Gz3xcTWgBo2lD8cehmxVRQZsWV9LRGRe2vQAHj6aRlZ/eEH5x33t9+kT25SEhAQ4LzjGp3RFmngiC3VyjqBTA9++gk4fZr1tUREJMlneDjw8svOO2ZqqpQiPPqo845pBtYRWya2f2Bia1DR0foZsc3KkkeO2BIRkbc3MGMGsGYNcPCgc465cKGs0Hj99c45nln4+0uSyMT2D0xsDSoqCjh0CCgv1zoSqa9t00YWFSAiIho/HggNBf76V8dbU2ZlAbt2AVOmOCc2s4mIME7Lr7Nn5YOPt7d652Bia1DR0dIP7vBhrSORPzi9emkdBRER6YWPD7BgAfDBB0BaWv2PU1EBPP440KGDrMRI1Rmp5ZfaizMATGwNy9ryS+s6299+A3bvBnr31jYOIiLSl6FDgSFDgMmT/7gFba8VK4D//lf613KlsZqFhxsnsT13Tt2OCAATW8Nq3Vq6I2hdZ/v110BJCUdsiYioKosF+Ne/gPPngWeesX//06eB6dOB++8HYmOdHp5pGK0UwRQjtoWFhZgwYQKCg4Ph7++PuLg45OTk2LRvWloaRowYgWuuuQZ+fn5o3749nnzySZyt78c/k/D0lNVXtB6xzciQWpmYGG3jICIi/WnVCpg7V0Zc//tf+/adOVPuCv7tb+rEZhYREUB+vpQn6p0pEtuKigoMGjQIKSkpmDJlCubPn48TJ04gNjYWB22YLjlx4kTs378fSUlJWLhwIQYOHIh//etf6N27N4qLi9UOX9eio4F9+7SNISMD6NpVRo+JiIiu9OijUq52zz3A3r227fPf/wJLlkhSHBKibnxGFx4uE/R+/VXrSK6usFD9PsRe6h4eSE1NRUZGBlJTUzFs2DAAQEJCAqKjozF79mysXr26zv3Xr1+PW265pcq2bt26YfTo0Vi9ejXGjRunWux6d8MNwLJl2sawaxdw333axkBERPrl6SmTyGJjgf79gfR04Npra3/+zp3An/4kyfDDD7ssTMOyLtJw7JiMkOvZmTN/xKsW1UdsU1NTERISUpnUAkBQUBASEhKwceNGlF5l7PzKpBYA7r33XgDAPq2HKzXWqZPcfjh1Spvz5+dLVwZOHCMioro0bw58+inQuLH0o/3xx5qft3kzcOedQLduwMcfA16qD78Zn5FWHzt9GmjWTN1zqJ7Y5uTkoGvXrtW2d+/eHZcuXUJuPWY//fr7eHtQUJDD8RlZp07y+L//aXP+XbvkkRPHiIjoalq2BLZuBTw8gOuuk0lhWVlye3rTJpkoNmQIcMcd8v+NG2sdsTE0aybt1YyQ2J45Y4LENj8/H6GhodW2W7fl5eXZfcx58+bBy8sL8fHxDsdnZFFRUtuqVWKbkSGfFNW+rUBEROYQEQF88w3w2msyONKzpyQ6gwYBK1cCjzwCrFsniRrZxmIxRmcERZEPMWontnYN8iuKgpKSEpue6/P7b2VxcTG8a1hiwvr9oqIie0LAmjVrsGzZMsyYMQPt2rWza1+zadBAmlZrOWLL0VoiIrJHkybA1KnS3/bjj6Wcrk8f6fRjsWgdnTEZYZGG8+dltVRdJbY7duxAXFycTc/dt28foqOj4evrW2MybO1o4Ovra/P5d+7ciXHjxmHgwIF46aWX6nzu1KlTEXDF1LvExEQkJibafD4j6NRJm8S2tBT46iuZsUpERGQvT0+uJuYs4eH6WIm0NikpKVi2LAUAkJwMrFkjrWDVYFdi26FDB7zzzjs2PTfk9/4coaGhNZYb5OfnAwDCwsJsOt4333yDIUOG4MYbb0Rqaio8POquokhOTq6xttdsOnUCNmyQZQev8k/iVN98AxQVccSWiIhIaxER9vcJdqXExER06JCImBhZarlHD2DPnj3o1q2b089lV2LbsmVLJCUl2XWCLl26YOfOnVAUBZbL7jFkZmbCz88P0dHRVz3GoUOHMHDgQISEhGDTpk1o1KiRXTGYWadOwIUL8kmtbVvXnXfXLimFcIPPDkRERLpmrbF19SCXPc6ckUfDTx6Lj4/H8ePHkZaWVrmtoKAA69atw+DBg9GgQYPK7UeOHKnWwuvXX3/FHXfcAS8vL2zZsgWBgYFqh2woWnVGyMiQ1cZY4E9ERKSt8HBZpa2gQOtIamdNbJs3V/c8qneIi4+PR69evTBmzBjs3bsXgYGBWLx4MRRFwQsvvFDluUlJSUhPT0dFRUXltoEDB+Knn37C9OnTkZ6eXuX5ISEh6N+/v9o/gq6Fh8sqHv/7n7RJcQVFkQbbI0a45nxERERUu8sXaWjRQttYamNNbA2/8piHhwc2bdqEadOmYcGCBSgqKkKPHj2wcuVKREVFVXmuxWKpUq4AAN9++y0sFgvmz59f7dixsbFun9haLK6fQPbzzzL7soa1M4iIiMjFLl+kISZG21hqc+aMdMTw9FT3PC5Z0yMgIABLly7F0qVL63ze9u3bq227fPSWatapE/D55647344dklD36+e6cxIREVHNWrSQhFHPLb9csTgD4IIaW1Jfp07A/v2AjS2GHZaeLud0xS8oERER1c3TEwgL0/ciDUxsyWadOknT4yvm3almxw7g1ltdcy4iIiK6Or0v0sDElmx2ww3y6Io6219+AX78kfW1REREehIezsQWYGJrCk2bAq1buyaxtTamYGJLRESkHxyxFUxsTcJVnRHS04EOHfTbToSIiMgdWRNbRdE6kpoxsSW7xMQAX32l/i/0jh0crSUiItKb8HDg4kXg3DmtI6kZE1uyS+/ewMmTUv+qluPHZYIaJ44RERHpy+W9bPVGUZjYkp169ZLH//5XvXPs3CmPHLElIiLSl8tXH9ObCxekexMTW7JZ8+ZA+/bqJrY7dgDt2sntDiIiItKPsDB5PHpU2zhqYl1Ol4kt2aVPHyAjQ73jb9/OMgQiIiI9athQJnbrccSWiS3VS58+0hlBjcLxI0eA778HBg50/rGJiIjIcRERTGyZ2JpI795ARQWQleX8Y2/eLEv2DRjg/GMTERGR4/S6SAMTW6qX9u2BgAB1yhE2bZIR4YAA5x+biIiIHKf3EVtX5BBMbE3Ew0NGbZ09gaykBNi6Fbj7bucel4iIiJxHzyO2jRsDXl7qn4uJrclYJ5BVVDjvmDt3StNnJrZERET6FREBnDoFFBdrHUlVp09L9yZXYGJrMr17A2fPykIKzrJpk3wK7NTJecckIiIi59JrL1tXLc4AMLE1nR49pCTBmeUImzcDd90FWCzOOyYRERE5l7XPvN7KEZjYUr01bgzceKPzEtsff5TRX5YhEBER6Zs1seWILZlK797Al18651ibN0ux9+23O+d4REREpI7GjYEmTThiSybTvz+QmwscOOD4sTZvBvr1kxcKERER6ZseW34xsSWH3Hkn4OsL/Oc/jh3nzBng00+BwYOdExcRERGpKyKCI7ZkMn5+svRtWppjx1m7FigvBxITnRMXERERqSs8XF8jtorCxJacYOhQIDPTsV/ud96R0d+QEKeFRURERCrS24jthQsySMbElhzypz/JpK8NG+q3//79khg/8IBTwyIiIiIVhYcD+flAWZnWkQjrcrpMbMkhzZoBcXH1L0dYsULWdGZ9LRERkXFERMjqo8ePax2JYGJLTjN0KLBjhyyvZ4/ycmDVKmDkSMDHR53YiIiIyPmsq4/ppRyBiS05zT33yKe2Dz6wb79t2+QFMXq0OnERERGROvS2SAMTW3Ka0FCgTx/7yxFWrACuuw7o2VOduIiIiEgdgYGAt7f+RmwDAlxzPia2JjdsGPDJJ0Benm3P/+UXYP16Ga21WNSNjYiIiJzLYtFXy68zZ2RFNC8v15yPia3JjR0L+PsDzz9v2/Ofekp+ASdNUjUsIiIiUomeWn65soctwMTW9AICgFmzgLffBr7/vu7n7toFrF4NvPQS0LSpa+IjIiIi52JiS6b28MNAZKSMxtamogJ47DGgSxcZ5SUiIiJj0lspQvPmrjsfE1s30LAh8PLLwIcfAp9/XvNzVq8GsrKAf/4T8PR0aXhERETkRNYRW0XROhKO2JJKEhKA7t2BJ5+U5e0ul5MDTJ8ODB8O3HKLNvERERGRc4SHAyUlwOnTWkfCxJZUYrEAycnAd98BUVHAm29KgjtzpiS8wcHA3/+udZRERETkKD0t0nDyJBAU5LrzMbF1I336APv2Af37Aw89JL9of/sbMHs28NVXf7wQiIiIyLis7+d6qLMtKJDBM1dxUVcx0ovISFku9/HHgbVrgaQkoGNHraMiIiIiZ2nZEvDw0H7EtqQEOHfOtSO2TGzdVNeu8kVERETm4uUlq49qndgWFMijK0dsWYpAREREZDIREcDRo9rGYE1sWWNLRERERPXWqpX2ie3Jk/LIEVsiIiIiqjc9JLYsRSAiIiIih1kTWy0XaTh5EvD2Bvz8XHdOJrZEREREJtOqFVBUpO0iDdZWXxaL687JxJaIiIjIZFq1kkctyxFcvTgDwMSWiIiIyHT0kNi6enEGgIktERERkem0bCn9bDli62SFhYWYMGECgoOD4e/vj7i4OOTk5NTrWAMGDICHhwcmT57s5CiJiIiIzMPTEwgP1z6xNdWIbUVFBQYNGoSUlBRMmTIF8+fPx4kTJxAbG4uDBw/aday0tDTs2rULAGBxZRUyERERkQFp3fKroMBkI7apqanIyMjAihUrMGvWLEyaNAmff/45PD09MXv2bJuPU1xcjCeeeAJPPfWUitESERERmYeWiW1FhQlrbFNTUxESEoJhw4ZVbgsKCkJCQgI2btyI0tJSm44zf/58AMATTzyhSpxEREREZqNlYnv2LFBebrIR25ycHHTt2rXa9u7du+PSpUvIzc296jGOHDmCefPmYd68efDx8VEjTCIiIiLTadUK+OUXGT11NS2W0wVUTmzz8/MRGhpabbt1W15e3lWP8cQTT6Br165ISEhwenxEREREZtWqFVBaCpw44fpza7GcLgB42fpERVFQUlJi03OtI6vFxcXw9vau9ftFRUV1Hmf79u1IS0tDVlaWrWESEREREar2sg0Jce25rSO2ri5FsDmx3bFjB+Li4mx67r59+xAdHQ1fX98ak+Hi4mIAgK+vb63HKCsrw5QpU5CUlIRu3brZGmalqVOnIiAgoMq2xMREJCYm2n0sIiIiIqO5PLHt3t215y4okKV0mzcHUlJSkJKSUuX7hYWFqpzX5sS2Q4cOeOedd2x6bsjvHwtCQ0NrLDfIz88HAISFhdV6jJUrVyI3NxdLlizBzz//XOV7586dw+HDh9GiRYtak+Pk5OQa63uJiIiI3EFQEODjo80EspMngWbNZJGImgYW9+zZU6+By6uxObFt2bIlkpKS7Dp4ly5dsHPnTiiKUqX3bGZmJvz8/BAdHV3rvkePHkVpaSluvvnmat9buXIlVq5ciQ0bNmDIkCF2xURERETkDiwWICJCu8TW1fW1gB2JbX3Ex8cjNTUVaWlpuO+++wAABQUFWLduHQYPHowGDRpUPvfIkSO4dOkS2rdvDwAYOXIkYmJiqhxPURQMHToUgwYNwoMPPogePXqoGT4RERGRoWnV8kuLxRkAFyS2vXr1wpgxY7B3714EBgZi8eLFUBQFL7zwQpXnJiUlIT09HRW/96S47rrrcN1119V43LZt23KkloiIiOgqWrUCDhxw/Xm1GrFVtd2Xh4cHNm3ahBEjRmDBggWYPn06WrRogW3btiEqKqrKcy0WC5fKJSIiInIijtg6WUBAAJYuXYqlS5fW+bzt27fbdLwKLboMExERERlQq1ZAXh5QViYTuVzFlCO2RERERKSdVq1k5bHfG1K5jFYjtkxsiYiIiEzq8l62rlJcDFy4wBFbIiIiInIiLRJb63K6HLElIiIiIqdp2hTw93dtYmtdTpcjtkRERETkNBaL6zsjMLElIiIiIlW0bg0cPuy687EUgYiIiIhUERkJ/Pyz68538iTg6wv4+bnunFZMbImIiIhMzNWJrVatvgAmtkRERESmFhkJnD0LFBa65nxaLc4AMLElIiIiMrXISHl0VZ0tR2yJiIiISBXWxNZV5QgcsSUiIiIiVbRsCfj4uC6x5YgtEREREanCYgHatHFdYnv8ONCihWvOdSUmtkREREQm56rOCMXFwKlTQHi4+ueqCRNbIiIiIpNzVWKbny+PTGyJiIiISBWuSmzz8uQxLEz9c9WEiS0RERGRyUVGSh9btXvZHjsmj0xsiYiIiEgVruplm5cny+k2barueWrDxJaIiIjI5FzVyzYvT+prLRZ1z1MbJrZEREREJueqXrbHjmlXhgAwsSUiIiIyPVf1ss3LY2JLRERERCpzRWcEaymCVpjYEhEREbkBtRNbRWEpAhERERG5gNqJ7fnzwMWLTGyJiIiISGVq97K1Ls7AUgQiIiIiUpXavWy1XpwBYGJLRERE5BbU7mWr9XK6ABNbIiIiIregdi/bvDygWTNZeUwrTGyJiIiI3IDavWy17ogAMLElIiIichuRkcBPP6lzbK0XZwCY2BIRERG5jXbtgEOH1Dm21oszAExsiYiIiNxGdDRw4ABQUeH8Y7MUgYiIiIhcJioKKCkBjh517nErKoD8fCa2REREROQi0dHyeOCAc4976hRQWspSBCIiIiJykchIwMsLyM117nH1sDgDwMSWiIiIyG14eQHXXOP8xFYPizMATGyJiIiI3Ip1Apkz5eVJn9yQEOce115MbImIiIjcSFSUOqUILVvKiLCWmNgSERERuZHoaFmkobTUecfUw+IMABNbIiIiIrcSHQ2Ulzt3BTI9LM4AMLElIiIicitRUfLozHIEPSzOADCxJSIiInIr4eGAr69zJ5CxFIGIiIiIXM7Dw7kTyIqLgRMngIgI5xzPEUxsiYiIiNxMVJTzRmwPHQIU5Y8SBy0xsSUiIiJyM9HRzhuxtSbITGyJiIiIyOWiooCjR4FLlxw/1oEDgL+/9LHVmuqJbWFhISZMmIDg4GD4+/sjLi4OOTk5dh1j7dq16N27N/z9/dGsWTPcfPPN2L59u0oRExEREZlbdLQ8Hjrk+LFycyVRtlgcP5ajVF0foqKiAoMGDcK3336L6dOnIzAwEIsXL0ZsbCx2796Na6+99qrHeP755zFnzhwMHz4cY8eOxW+//Ybvv/8eedZFiYmIiIjILtbENjcX6NTJsWMdOKCPMgRA5cQ2NTUVGRkZSE1NxbBhwwAACQkJiI6OxuzZs7F69eo699+1axfmzJmDv//973jsscfUDJWIiIjIbQQFAU2bOqfO9sABoF8/x4/jDKqWIqSmpiIkJKQyqQWAoKAgJCQkYOPGjSi9ylpuycnJCA0NxWOPPQZFUXDhwgU1wyUiIiJyCxaLjNo62hnh4kXpYauXEVtVE9ucnBx07dq12vbu3bvj0qVLyL3Kx4StW7fipptuQnJyMoKDg9GkSROEhYVh0aJFaoVMRERE5Baio4H9+x07xsGD8ugWiW1+fj5CQ0Orbbduq6tO9syZMzh16hS+/PJLPPfcc5g5cybef/99dOnSBZMnT8aSJUtUi5uIiIjI7Dp2BL77DqioqP8x9NTqC7CjxlZRFJSUlNj0XB8fHwBAcXExvL29a/1+UVFRrcewlh2cOnUKa9euxfDhwwEA9913Hzp16oS5c+diwoQJtoZPRERERJeJiQHOnQN++glo165+xzhwAAgIAAIDnRtbfdmc2O7YsQNxcXE2PXffvn2Ijo6Gr69vjclwcXExAMDX17fWY1i/17BhQ8THx1dut1gsSEhIwPPPP49ffvkFEbWs3zZ16lQEBARU2ZaYmIjExESbfgYiIiIiM+vSRR5zchxLbK/W6islJQUpKSlVthUWFtbvhFdhc2LboUMHvPPOOzY9NyQkBICUHNRUbpCfnw8ACAsLq/UYzZs3h7e3N5o3bw7LFf9aLVq0ACDlCrUltsnJyTXW9xIREREREBIiXzk5wGVjiHaxpdVXTQOLe/bsQbdu3ep30jrYnNi2bNkSSUlJdh28S5cu2LlzJxRFqZKcZmZmws/PD9HWJmo18PDwQJcuXbB7926UlpaiQYMGld+zJsvBwcF2xUNEREREf4iJkcS2vnJzgdtvd148jlJ18lh8fDyOHz+OtLS0ym0FBQVYt24dBg8eXCVZPXLkCPbt21dl/5EjR6KsrAwrVqyo3FZcXIzVq1ejY8eOlSPDRERERGS/mBjg66/rt++5c8CJE/qZOAaovEBDfHw8evXqhTFjxmDv3r2VK48pioIXXnihynOTkpKQnp6Oisum5k2cOBFvvfUWHnnkEeTm5qJVq1ZYtWoVjh49ig8++EDN0ImIiIhMLyYGePll4PhxoGVL+/bVW0cEQOXE1sPDA5s2bcK0adOwYMECFBUVoUePHli5ciWirvhXsFgs1WppfXx8sG3bNkyfPh3Lli3DxYsXERMTg48++ggDBgxQM3QiIiIi04uJkcecHGDgQPv2dbvEFgACAgKwdOlSLF26tM7nbd++vcbtwcHBWL58uRqhEREREbm1tm2BJk3qn9gGBQHNmqkTW32oWmNLRERERPrl4SFtv+ozgcyWjgiuxsSWiIiIyI3VtzMCE1siIiIi0pUuXYCDB6XLgT2Y2BIRERGRrlgnkH3zje37FBQAp04xsSUiIiIiHbn+eqBhQ/vKEb78Uh579lQnpvpiYktERETkxho0AG64wb6FGnbsAFq3BiIjVQurXpjYEhEREbk5eyeQpacDt9yiXjz1xcSWiIiIyM317g18+63UzV7NuXOSBN96q/px2YuJLREREZGbu/tuoKIC2LTp6s/98kt5LkdsiYiIiEh3QkOB7t2BDz64+nPT04GQEP11RACY2BIRERERgMGDgY8/Bn77re7n7dgho7UWi2visgcTWyIiIiLCkCHA+fOSuNbm0iUgO1uf9bUAE1siIiIiAnDjjUCrVnWXI+zaBZSV6bO+FmBiS0RERESQ0oLBgyWxVZSan7NjBxAYKIs66BETWyIiIiICIIntzz8D331X8/fT04F+/QAPnWaQOg2LiIiIiFwtNhbw86u5HKGkREoR9FpfCzCxJSIiIqLf+fgAd95Zc2L7738DxcVA//6uj8tWTGyJiIiIqFJ8vIzMLl/+x7ZvvwVmzACmTgVuuEG72K7GS+sAiIiIiEg/Ro6USWLjxwMBAcBddwH33w9cdx3wyitaR1c3JrZEREREVMliARYtAs6ckSS3f3/gwAHpX+vjo3V0dWMpAhERERFV4ekJrFolk8k2bQLmzQM6ddI6qqvjiC0RERERVdOwIZCWBmzdCvzpT1pHYxsmtkRERERUIz8/WWrXKFiKQERERESmwMSWiIiIiEyBiS0RERERmQITWyIiIiIyBSa2RERERGQKTGyJiIiIyBSY2BIRERGRKTCxJSIiIiJTYGJLRERERKbAxJaIiIiITIGJLRERERGZAhNbIiIiIjIFJrZEREREZApMbImIiIjIFJjYEhEREZEpMLElIiIiIlNgYktEREREpsDEloiIiIhMgYktEREREZkCE1siIiIiMgUmtkT+0WbPAAANPUlEQVRERERkCkxsiYiIiMgUmNgSERERkSmontgWFhZiwoQJCA4Ohr+/P+Li4pCTk2Pz/u+//z769OmD5s2bo1mzZujZsyfeffddFSMmIiIiIiNSNbGtqKjAoEGDkJKSgilTpmD+/Pk4ceIEYmNjcfDgwavuv2TJEowcORKenp6YO3cuXnrpJfj6+iIpKQnJyclqhk4GkpKSonUI5EK83u6F19u98HqTo1RNbFNTU5GRkYEVK1Zg1qxZmDRpEj7//HN4enpi9uzZV91/xYoVCA8Px7Zt2zBp0iRMmjQJW7duRbt27fDOO++oGToZCP8Quhdeb/fC6+1eeL3JUaontiEhIRg2bFjltqCgICQkJGDjxo0oLS2tc39fX18EBASgQYMGlds8PT0RGBiIRo0aqRY3ERERERmPqoltTk4OunbtWm179+7dcenSJeTm5ta5/5NPPonc3Fw899xzOHjwIA4dOoQ5c+Zgz549mD59ulphExEREZEBeal58Pz8fMTGxlbbHhoaCgDIy8tDx44da91/4MCB2LBhA0aMGIG5c+cCABo1aoT169dj8ODBqsRMRERERMZkc2KrKApKSkpseq6Pjw8AoLi4GN7e3rV+v6ioqM7j7Ny5E8OHD0ffvn0xduxYlJWVYcmSJbj//vvx6aefomfPnrXu+8MPP9gUKxlfYWEh9uzZo3UY5CK83u6F19u98Hq7D9XyNMVG27dvVywWi01f+/fvVxRFUfz9/ZXx48dXO9ZHH32kWCwW5ZNPPqnznB07dlRiYmKqbCstLVWio6OVnj171rhPXl6eEhYWpgDgF7/4xS9+8Ytf/OKXTr/CwsKUvLw8W1NRm9g8YtuhQwebOxGEhIQAkJKDvLy8at/Pz88HAISFhdV6jMLCQuzduxfPPPNMle1eXl4YOHAgFi1ahLKyMnh5Vf0RQkND8dVXX1Weg4iIiIj0JzQ0tLI81VlsTmxbtmyJpKQkuw7epUsX7Ny5E4qiwGKxVG7PzMyEn58foqOja93X2jGhvLy8xu9VVFSgvLy8WmILqPMPRURERET6pmpXhPj4eBw/fhxpaWmV2woKCrBu3ToMHjy4ShuvI0eOYN++fZX/HxwcjIiICKSlpVVpC3bhwgV88MEH6NChQ431u0RERETkniyKoihqHbyiogJ9+/bFd999h2nTpiEwMBCLFy/GL7/8guzsbERFRVU+NzY2Funp6aioqKjctmTJEjz00EOIiYnBX/7yF5SXl+Ptt9/G/v378e677yIxMVGt0ImIiIjIYFRt9+Xh4YFNmzZh2rRpWLBgAYqKitCjRw+sXLmySlILABaLpUq5AgBMmDABfn5++Mc//oGZM2fCYrGgc+fOSE1NxdChQ9UMnYiIiIgMRtURWyIiIiIiV1G1xpaIiIiIyFUMk9iWlJRgxowZCAsLQ6NGjdCrVy989tlnNu1bWFiICRMmIDg4GP7+/oiLi0NOTo7KEZMj6nu9t27dirFjxyI6Ohp+fn5o164dHnzwQfz6668uiJrqy5HX9+UefPBBeHh4cGVCnXP0en/22WeIi4tDQEAAmjRpgptuugnvv/++ihGTIxy53p999hluv/12tGjRAo0bN0bnzp2xcOHCKvNxSD8uXryI2bNnY+DAgWjevDk8PDywYsUKm/d3Sr7m1K64Kho5cqTSoEEDZfr06crSpUuVPn36KA0aNFC++OKLOvcrLy9X+vTpo/j7+ysvvviismjRIqVjx45KkyZNlAMHDrgoerJXfa93t27dlHbt2ilPPfWU8vbbbyszZ85UmjRpooSEhCi//vqri6Ine9X3el8uOztbadCggeLr66sMHjxYxWjJUY5c72XLlikeHh7KwIEDlcWLFytvvvmm8vjjjyuvv/66CyKn+qjv9d68ebNisViUTp06KcnJycqSJUuUe++9V7FYLMpjjz3moujJHj/99JNisViUyMhI5bbbblMsFouyYsUKm/Z1Vr5miMQ2MzNTsVgsVf5wFRcXK9dee63Sp0+fOvddu3atYrFYlPXr11duO3nypNKsWTNl1KhRqsVM9efI9d65c2e1benp6YrFYlGeffZZp8dKjnPkeltVVFQovXv3VsaPH69ERkYysdUxR673Tz/9pPj6+ipTp05VO0xyEkeu96hRoxQfHx/lzJkzVbbfeuutStOmTVWJlxxTUlKiHD9+XFEURfnqq6/sSmydla8ZohQhNTUVXl5emDBhQuU2b29vjBs3DhkZGTh27Fid+4aEhGDYsGGV24KCgpCQkICNGzdW6ZFL+uDI9e7bt2+1bf369UPz5s2r9Ekm/XDkelutWrUKe/fuxdy5c6FwPqyuOXK933jjDSiKghdffBGA9DXn9dY3R663r68vvL290bRp0yrbQ0JC0KhRI9Vipvpr2LAhWrRoAQB2vzadla8ZIrHNyclBdHQ0/P39q2zv3r07AODrr7+uc9+uXbtW2969e3dcunQJubm5zg2WHObI9a7JhQsXcP78eQQFBTktRnIeR6/3+fPnMWPGDMycORMtW7ZULU5yDkeu92effYb27dvjww8/REREBJo0aYKgoCA899xzTHB1ypHrPXnyZFRUVGDixInYt28fDh8+jDfeeAP/+c9/8PTTT6saN7mes/I1QyS2+fn5NS6Ra92Wl5enyr6kDWdfs+TkZJSWlmLEiBFOiY+cy9Hr/eKLL8LPzw+PP/64KvGRczlyvQ8cOIAjR45g7NixGD9+PNavX4+77roLc+fOxTPPPKNazFR/jlzvzp07Y9u2bfjggw9w/fXXo23btpg8eTIWLlyIyZMnqxYzacNZ7/2qLtDgLEVFRTUun+vj41P5/doUFxfXe1/ShiPX+0rp6el44YUXMGLECMTGxjorRHIiR653bm4uFixYgPfee6/KEt2kX45cb2vpwbx58zBt2jQAwNChQ3H69Gn885//xMyZM6uNDJK2HLne+/btw6BBg9CmTRu89tpr8PHxwZo1a/Doo4+iZcuWuOeee1SLm1zPWfmaIUZsfX19UVJSUm17cXFx5ffV2Je04axrtm/fPgwdOhQ33ngj3nrrLafGSM7jyPV+7LHHcPPNN3MlQgNx9O+5xWKptpz6yJEjUVRUZHeZEqnPkev95JNPwsvLC59//jn+/Oc/Iz4+Hmlpaejbty8eeeQRlJeXqxY3uZ6z3vsNkdiGhobWOASdn58PAAgLC1NlX9KGM67Z0aNHcccdd6BZs2bYtGkT/Pz8nB4nOUd9r/e2bduwZcsWTJkyBT///HPlV1lZGS5duoTDhw/j/PnzqsZO9nPk9W393pW11NbJKmfOnHFWmOQkjlzvL774AnFxcdUmig0ePBh5eXk4fPiwc4MlTTkrXzNEYhsTE4Pc3Nxqb1KZmZkAgC5dutS6b5cuXbBnz55qEwsyMzPh5+eH6Oho5wdMDnHkegPAqVOncMcdd6C0tBRbtmzhhCKdq+/1PnLkCABg2LBhuOaaayq/8vLysG3bNrRt2xbLly9XN3iymyOv75tuugmKouCXX36pst36ZhgcHOzkaMlRjlzvsrKyGkdlrbPjy8rKnBgpac1p+ZrNjcE0ZO2D97e//a1ym7UPXu/evSu35efnKz/88INSWlpauc3aFy01NbVy28mTJ5WAgAAlMTHRNT8A2cWR633hwgWlR48eStOmTZU9e/a4NG6qn/pe7yNHjigbN26s8rVhwwalRYsWSo8ePZSNGzcqhw4dcvnPQ3Vz5PW9YcMGxWKxKM8880zltvLycqVv375KUFCQ8ttvv7nmhyCbOXK9+/btqwQGBiqnTp2q3FZWVqZ069ZNadq0qVJWVuaaH4LqJTs7u9Y+tmrma4ZIbBVFURISEipXLnnzzTeVPn36KA0bNqzSkH/06NGKxWJRDh8+XLmtvLxc6d27t9K4ceMqK1k0bdpUyc3N1eJHIRvU93rfc889isViUcaNG6esWrWqyteGDRu0+FHIBvW93jVp06YNF2jQOUeud//+/RUPDw9l4sSJyqJFi5QBAwYoFotFWbp0qat/DLJRfa/35s2bFQ8PD+Xaa69V5s+fryxYsEDp3bu3YrFYlJdfflmLH4VssHDhQmXOnDnKww8/rFgsFuW+++5T5syZo8yZM0c5e/asoijq5muGSWyLi4uVadOmKaGhoYqPj4/Ss2dP5ZNPPqnynAceeEDx8PCo9ofwzJkzyvjx45WgoCDFz89Pue2225Tdu3e7MnyyU32vd2RkpOLh4aFYLJZqX23btnX1j0E2cuT1fSWuPKZ/jlzvCxcuKFOnTlVCQ0MVb29vpXPnzsqaNWtcGT7ZyZHr/fHHHyv9+vVT/Pz8Kq/3kiVLXBk+2SkyMrLyfdfDw6PyPfny66tmvmZRFHa1JiIiIiLjM8TkMSIiIiKiq2FiS0RERESmwMSWiIiIiEyBiS0RERERmQITWyIiIiIyBSa2RERERGQKTGyJiIiIyBSY2BIRERGRKTCxJSIiIiJTYGJLRERERKbAxJaIiIiITIGJLRERERGZwv8DgLsC8bAuH1wAAAAASUVORK5CYII=",
"text": [
"Figure(PyObject <matplotlib.figure.Figure object at 0x000000002D05C1D0>)"
]
},
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 38,
"text": [
"PyObject <matplotlib.text.Text object at 0x0000000002D43A20>"
]
}
],
"prompt_number": 38
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Here, plot(t, z) joins the points t[i], z[i] using the default solid linetype. Matplotlib opens a figure window in which the picture is displayed. In this IJulia notebook, the matplotlib figures are included 'in line'. When you are using the Julia REPL (read, evaluate, print loop) as a command line interpreter, after opening a plot figure window, you can close it in the normal way, ie by clicking on the x in the window title bar.\n",
"\n",
"You can produce a histogram with the function hist. Note that we had to use **import PyPlot.plt** and then use plt.hist in order to avoid a name collision with the built-in Julia hist method."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import PyPlot.plt\n",
"plt.hist(randn(1000))\n",
"title(\"Figure 1.3. Histogram produced by hist.\")"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": "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",
"text": [
"Figure(PyObject <matplotlib.figure.Figure object at 0x0000000030641C18>)"
]
},
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 39,
"text": [
"PyObject <matplotlib.text.Text object at 0x0000000030690198>"
]
}
],
"prompt_number": 39
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Here, hist is given 1000 points from the normal (0, 1) random number generator\n",
"\n",
"You are now ready for more challenging computations. A random Fibonacci sequency {$x_{n}$} is generated by choosing $x_{1}$ and $x_{2}$ and setting\n",
"\n",
"$$ x_{n + 1} = x_{n} \\pm x_{n -1}, \\; n \\ge 2 $$\n",
"\n",
"Here, the $\\pm$ indicates that + and - must have equal probability of being chosen. Viswanath [121] listed in [1] analyzed this recurrence and showed that, with probability 1, for large n the quantity $|x_{n}|$ increases like a multiple of $c^{n}$, where c = 1.13198824... (see also [25]). You can test Viswanath's result as follows:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# Random Fibonacci sequence\n",
"using PyPlot\n",
"\n",
"srand(100)\n",
"m = 1000\n",
"\n",
"x = zeros(m)\n",
"x[1:2] = [1 2]\n",
"for n in 2:m-1\n",
" x[n + 1] = x[n] + sign(rand() - 0.5) * x[n - 1]\n",
"end\n",
"\n",
"semilogy(1:m, abs(x))\n",
"c = 1.13198824\n",
"hold(true)\n",
"semilogy(1:m, c .^ (1:m))\n",
"title(\"Figure 1.4. Growth of a random Fibonacci sequence\")\n",
"hold(false)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": "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",
"text": [
"Figure(PyObject <matplotlib.figure.Figure object at 0x00000000307DD4E0>)"
]
}
],
"prompt_number": 40
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The for loop stores a random Fibonacci sequence in the array x; we preallocate x to the size needed and initialize to zero using the zeros() function. The semilogy function then plots n on the x-axis against $|X|$ on the y-axis, with logarithmic scaling for the y-axis. Typing hold(true) tells matplotlib to superimpose the next picture on top of the current one. The second semilogy plot produces a line of slope c. The overall picture, shown in Figure 1.4, is consistent with Viswanath\u2019s theory.\n",
"\n",
"We can make the above code into a command by writing it out to a file. If you cut and paste it into a file called fib.jl, you can then run it in the Julia REPL by typing \"run fib\" or \"run fib.jl\" to reproduce the above graph.\n",
"\n",
"However, you can experiment directly in this IJulia notebook by changing any of the values and then hitting the 'play' button above.\n",
"\n",
"Our next example involved the Collatz iteration, which, given a positive integer $x_{1}$, has the form $x_{k + 1} = f(x_{k})$, where\n",
"\n",
"$$f(x) = \\left\\{\n",
" \\begin{array}{lr}\n",
" 3x + 1 & : x \\: \\% \\: 2 == 0\\\\\n",
" x/2 & : x \\: \\% \\: 2 == 1\n",
" \\end{array}\n",
"\\right.\n",
"$$\n",
"\n",
"Here $x \\: \\% \\: y$ is the modulus function of x and y, which can also written as mod(x, y) in Julia. It is the remainder of x when divided by y. In this case $x \\: \\% \\: 2 == 0$, if true, means that x is even and if $x \\: \\% \\: 2 == 1$ is true, then x is odd. Note that these are perfectly good Julia functions"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"x = 3\n",
"if x % 2 == 0\n",
" println(\"x is even\")\n",
"else\n",
" println(\"x is odd\")\n",
"end"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"x is odd"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n"
]
}
],
"prompt_number": 41
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"But now returning to our quest, the equation above in words means:\n",
"if $x$ is odd, replace it by $3x + 1$, and if $x$ is even, halve it. It has been conjectured that this iteration will always lead to a value of 1 (and hence thereafter cycle between 4, 2, and 1) whatever starting value $x_{1}$ is chosen. There is ample computational evidence to support this conjecture, which is variously known as the Collatz problem, the $3x + 1$ problem, the Syracuse problem, Kakutani\u2019s problem, Hasse\u2019s algorithm, and Ulam\u2019s problem. However, a rigorous proof has so far eluded mathematicians. For further details, see [63] listed in [1] or type \u201cCollatz problem\u201d into your favorite Web search engine. You can investigate the conjecture by creating the Julia script \ufb01le collatz.jl shown below. In this file a while loop and an if statement are used to implement the iteration. You can run this in the notebook simply by changing the value of n and hitting the play button. Or, you can save this to a file named collatz.jl (remembering to uncommment out the line '\\#print... and commenting out the line \"n = 27\". Then, from the **julia>** repl prompt, type \"run collatz\". The input command prompts you for a starting value. The appropriate response is to type an integer and then hit return."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#COLLATZ Collatz iteration. \n",
"using PyPlot\n",
"\n",
"#print(\"Enter an integer bigger than 2: \"); n = int(chomp(readline()))\n",
"init_n = n = 27;\n",
"narray = zeros(1000) # only a maximum of 1000 iterations\n",
"narray[1] = n;\n",
"count = 0;\n",
"while n != 1\n",
" if n % 2 == 1 # Remainder modulo 2. \n",
" n = 3 * n + 1;\n",
" else\n",
" n = n / 2;\n",
" end\n",
" count += 1\n",
" narray[count] = n # Store the current iterate\n",
"end\n",
"\n",
"# Plot with * marker and solid line style.\n",
"# Only plot the non zero entries in narray\n",
"plot(narray[narray .!= 0], \"*-\")\n",
"title(\"Figure 1.5. Collatz iteration starting at $init_n\")"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": "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",
"text": [
"Figure(PyObject <matplotlib.figure.Figure object at 0x0000000030705748>)"
]
},
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 42,
"text": [
"PyObject <matplotlib.text.Text object at 0x0000000033FFFE48>"
]
}
],
"prompt_number": 42
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"A couple of things you should note about the code above. This first is that it will fail if the number of iterations goes beyond 1000. For most of the inputs I have tried, it 'converged' in under 200 iterations. But you should try to break it! The second thing to note is that we only want to plot the non zero values. All the zero values at the end of the array add no new information and we want to drop them. That is easily accomplished by using the narray[narray .!= 0] syntax which selects only the non-zero values out of narray.\n",
"\n",
"To investigate the Collatz problem further, the script collbar in the next listing plots a bar graph of the number of iterations required to reach the value 1, for starting Values 1,2,. . . ,29. The result is shown in Figure 1.6. For this picture, the function plt.grid adds grid lines that extend from the axis tick marks, while plt.title, plt.xlabel, and plt.ylabel add further information. "
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#COLLBAR Collatz iteration bar graph.\n",
"using PyPlot\n",
"\n",
"N = 29 # Use starting values 1,2,...,N.\n",
"niter = zeros(N); # Preallocate array.\n",
"for i in 1:N\n",
" count = 0;\n",
" n = i + 1;\n",
" while n != 1\n",
" if n % 2 == 1\n",
" n = 3 * n + 1;\n",
" else\n",
" n = n / 2;\n",
" end\n",
" count += 1;\n",
" end\n",
" niter[i] = count;\n",
"end\n",
"\n",
"left = 1:N;\n",
"bar(left, niter) # Bar graph.\n",
"grid() # Add horizontal and vertical grid lines.\n",
"title(\"Figure 1.6. Collatz iteration counts\")\n",
"xlabel(\"Starting value\") # Label X-axis.\n",
"ylabel(\"Number of iterations\") #Label y-axis."
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": "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",
"text": [
"Figure(PyObject <matplotlib.figure.Figure object at 0x0000000033F62198>)"
]
},
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 43,
"text": [
"PyObject <matplotlib.text.Text object at 0x0000000033FF0B70>"
]
}
],
"prompt_number": 43
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The Well-known and much studied Mandelbrot set can be approximated graphically in just a few lines of Julia. It is de\ufb01ned as the set of points c in the complex plane for which the sequence generated by the map $z \\mapsto z^{2} + c$, starting with $z = c$, remains bounded [91, Chap. 14] listed in [1]. The script mandel in the next listing produces the plot of the Mandelbrot set shown in Figure 1.7. The script contains calls to linspace of the form linspace (a, b ,n), which generate an equally spaced vector of n values between a and b. The repmat function repeats(z, m, n) repeats a matrix z m-times in the first dimension and n-times in the second dimension. The **complex** function is used to construct a matrix C that represents the rectangular region of interest in the complex plane. Using **complex** is generally faster than using a + 1im\\*b. The plot itself is produced by **contourf**, which plots a \ufb01lled contour. The expression $abs(Z)<Z\\_max$ in the call to contourf detects points that have not exceeded the threshold Z_max and that are therefore assumed to lie in the Mandelbrot set. You can experiment with mandel by changing the region that is plotted, via the **linspace** calls, the number of iterations **it_max**, the threshold **Z_max**, as well as the density of the grid **mc**."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#MANDEL Mandelbrot set.\n",
"using PyPlot\n",
"\n",
"mc = 301\n",
"\n",
"x = linspace(-2.1, 0.6, mc)'\n",
"y = linspace(-1.1, 1.1, mc)\n",
"C = complex(repmat(x, mc), repmat(y, 1, mc))\n",
"\n",
"Z_max = 1e6\n",
"it_max = 50\n",
"Z = C\n",
"\n",
"for k in 1:it_max\n",
" Z = Z .^ 2 + C\n",
"end\n",
"\n",
"contourf(x, y, (abs(Z) .< Z_max))\n",
"title(\"Figure 1.7 Mandelbrot Set\")"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": "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",
"text": [
"Figure(PyObject <matplotlib.figure.Figure object at 0x00000000306C7710>)"
]
},
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 44,
"text": [
"PyObject <matplotlib.text.Text object at 0x0000000033F7B6D8>"
]
}
],
"prompt_number": 44
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Next we solve the ordinary differential equation (ODE) system\n",
"\n",
"$$ d/dt \\; y_{1}(t) = 10 (y_{2}(t) - y_{1}(t)),$$\n",
"$$ $$\n",
"$$ d/dt \\; y_{2}(t) = 28 y_{1}(t) - y_{2}(t) - y_{1}(t) y_{3}(t),$$\n",
"$$ $$\n",
"$$ d/dt \\; y_{3}(t) = y_{1}(t) y_{2}(t) - 8 y_{3}(t) / 3. $$\n",
"\n",
"This is an example from the Lorenz equations family; see [H1] listed in [1]. We take initial conditions y(0) = [0, 1, 0] and solve over $0 \\le t \\le 50$. The next listing includes a Julia function definition lorentzde. Given t and y, this function returns the right-hand side of the ODE as the vector **yprime**. This is the form required by Julia\u2019s ODE solving functions. The rest of the listing uses the Julia function **ode45** to solve the ODE numerically and then produces the (y1, y3) phase plane plot shown in Figure 1.8. You can try different values of the constants defining the derivatives to see what happens. For instance, change the 3 to an 8 in lorenzde and observe how the plot changes"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"using ODE\n",
"using PyPlot\n",
"\n",
"function lorenzde(t, y)\n",
" # LORENZDE Lorenz equations.\n",
" # YPRIME = LORENZDE(T, Y)\n",
" yprime = [(10(y[2] - y[1])), (28y[1] - y[2] - y[1] * y[3]),\n",
" (y[1] * y[2] - 8y[3] / 3.)]\n",
" return yprime\n",
"end\n",
"\n",
"#lrun ODE solving example: Lortez.\n",
"\n",
"tspan = [0 50] # solve for 0 <= t <= 50\n",
"yzero = [0., 1., 0.] # initial condition\n",
"\n",
"tout, y = ode45(lorenzde, yzero, tspan)\n",
"\n",
"# ode45 returns a vector of vectors rather than a multidimensional array\n",
"# and we must repack\n",
"ys = hcat(y...).'\n",
"\n",
"plot(ys[:, 1], ys[:, 3])\n",
"xlabel(\"y_1\")\n",
"ylabel(\"y_3\")\n",
"title(\"Figure 1.8 Lorenz equations\")"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": "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",
"text": [
"Figure(PyObject <matplotlib.figure.Figure object at 0x0000000033FDA9E8>)"
]
},
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 45,
"text": [
"PyObject <matplotlib.text.Text object at 0x00000000306F0198>"
]
}
],
"prompt_number": 45
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now we give an example of a recursive function, that is, a function that calls itself. The Sierpinski gasket [90, Sec. 2.2] listed in [1] is based on the following process. Given a triangle with vertices $P_{a}$, $P_{b}$, and $P_{c}$, We remove the triangle with vertices at the midpoints of the edges, $(P_{a} + P_{b})/2$, $(P_{b} + P_{c}) / 2$, and $(P_{c} + P_{a}) / 2$. This removes the \u201cmiddle quarter\u201d of the triangle, as illustrated in Figure 1.9. (The code in the function 'gasket' will be explained below)"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import PyPlot.plt\n",
"\n",
"function gasket(pa, pb, pc, level)\n",
" #=\n",
" GASKET Recursively generated Sierpinski gasket. \n",
" GASKET(PA, PB, PC, LEVEL) generates an approximation to \n",
" the Sierpinski gasket, where the 2-vectors PA, PB, and PC Z define the triangle vertices. \n",
" LEVEL is the level of recursion.\n",
" =#\n",
" if level == 0\n",
" # Fill the triangle with vertices Pa, Pb, Pc. \n",
" plt.fill([pa[1], pb[1], pc[1]], [pa[2], pb[2], pc[2]], \"g\") \n",
" hold(true)\n",
" else\n",
" # Recursive calls for the three subtriangles. \n",
" gasket(pa, (pa + pb) / 2., (pa + pc) / 2., level - 1) \n",
" gasket(pb, (pb + pa) / 2., (pb + pc) / 2., level - 1) \n",
" gasket(pc, (pc + pa) / 2., (pc + pb) / 2., level - 1)\n",
" end\n",
"end\n",
"\n",
"pa = [0, 0]\n",
"pb = [1, 0]\n",
"pc = [0.5, sqrt(3)/2.]\n",
"level = 1\n",
"gasket(pa, pb, pc, level)\n",
"hold(false)\n",
"plt.title(\"Figure 1.9 Gasket level = 1\")\n",
"plt.axis(\"equal\")"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": "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",
"text": [
"Figure(PyObject <matplotlib.figure.Figure object at 0x0000000033F18198>)"
]
},
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 46,
"text": [
"(0.0,1.0,0.0,0.9)"
]
}
],
"prompt_number": 46
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Effectively, we have replaced the original triangle with three \u201csubtriangles\u201d. We can now apply the middle quarter removal process to each of these subtriangles to generate nine subsubtriangles, and so on. The Sierpinski gasket is the set of all points that are never removed by repeated application of this process. The function gasket in the listing above implements the removal process. The input arguments $P\\_{a}$, $P\\_{b}$, and $P\\_{c}$ de\ufb01ne the vertices of the triangle and level speci\ufb01es how many times the process is to be applied. If level is nonzero then gasket calls itself three times with level reduced by 1, once for each of the three subtriangles. When level \ufb01nally reaches zero, the recursion 'bottoms-out' and the appropriate triangle is drawn. The following code generates Figure 1.10."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"level = 5\n",
"gasket(pa, pb, pc, level)\n",
"plt.hold(false)\n",
"plt.title(\"Figure 1.10 Gasket level = 5\")\n",
"plt.axis(\"equal\")"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": "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",
"text": [
"Figure(PyObject <matplotlib.figure.Figure object at 0x0000000034066048>)"
]
},
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 47,
"text": [
"(0.0,1.0,0.0,0.9)"
]
}
],
"prompt_number": 47
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"(Figure 1.9 was generated in the same way with level = 1.) In the last line, the call to axis makes the units of the $x-$ and $y\u2014$axes equal and turns off the axes and their labels. You should experiment with different initial Vertices $P_{a}$, $P_{b}$, and $P_{c}$, and diiferent levels of recursion, but keep in mind that setting level bigger than 8 may overstretch either your patience or your computer\u2019s resources."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The Sierpinski gasket can also be generated by playing Barnsley\u2019s \u201cchaos game\u201d [90, Sec. 1.3] listed in [1]. We choose one of the vertices of a triangle as a starting point. Then we pick one of the three vertices at random, take the midpoint of the line joining this vertex with the starting point and plot this new point. Then we take the midpoint of the line joining this point and a randomly chosen vertex as the next point, which is plotted, and the process continues. The script barnsley in Listing 1.8 implements the game. Figure 1.11 shows the result of choosing 1000 iterations: "
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#BARNSLEY Barnsley\u2019s game to compute Sierpinski gasket. \n",
"\n",
"srand(1) # and (re)set the seed\n",
"\n",
"V = [0 1 0.5; 0 0 sqrt(3)/2] # Columns give triangle vertices. \n",
"point = V[:, 1] # Start at a Vertex. \n",
"\n",
"n = 1000 # Change this number to experiment\n",
"\n",
"for k=1:n\n",
" node = ceil(3rand()) # node is 1, 2, or 3 with equal prob. \n",
" point = (V[:, node] + point)/2 \n",
" plot(point[1], point[2], \".\", markersize=15) \n",
" hold(true)\n",
"end\n",
"\n",
"axis(\"equal\") \n",
"hold(false)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAp0AAAIUCAYAAABYapcuAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAAPYQAAD2EBqD+naQAAIABJREFUeJzs3X18lPWd7//XdWUgmRBmcFJRAkIwKTdZW4Q0mhh6s9rW/tzt9tdzdLdsN66tFaWurVTq3TrnPNpxt1ubU1ztFqvbQyWtrj16tif17OmutLWIzEgasO1piOLocBcoMgMzQCaRmes6f0wScjM3V4Dc4fv5ePDAXHNdM9cQGd753nw+hm3bNiIiIiIiY8ic6BsQERERkfOfQqeIiIiIjDmFThEREREZcwqdIiIiIjLmFDpFREREZMwpdIqIiIjImFPoFBEREZExp9ApIiIiImNOoVNERERExpxCp4iIiIiMuVGFzt7eXu655x4qKiooLS2lvr6ezZs3O7r2hRdeYOXKlcyYMQOfz8cNN9zAnj17zuimRURERGRqGVXovOmmm1i/fj1NTU088sgjFBUVcd111/Hyyy/nve7555/nE5/4BKdOneKb3/wmd911F7/61a9YuXIlR44cOas3ICIiIiKTn2Hbtu3kxO3bt1NfX09zczNf+cpXgMzI52WXXcbs2bPzBs8/+qM/IpVK8fvf/x6XywXAb3/7W1asWMGdd95Jc3PzOXgrIiIiIjJZOR7pfPbZZ3G5XKxevXrgWHFxMTfffDPBYJADBw5kvS4Wi7Fr1y4+/elPDwROgPe///0sWbKEf/mXfzmL2xcRERGRqcBx6Ny5cyeLFi2irKxsyPG6ujoAXn311azX9fb2AuB2u0c8VlpaysGDBzl8+LDjGxYRERGRqcdx6Dx48CBz5swZcbz/WFdXV9brLrroImbNmsXWrVuHHI9Go3R0dADkHCUVERERkfODq/ApGclkkuLi4hHHS0pKBh7PxjRNbr31Vr75zW9y//3387nPfY5EIsHdd9/NqVOnsG0757WQCbsHDx50epsiIiIiMs7mzJmTdXByMMeh0+12D0yVD9bT0zPweC5f//rXOXLkCA899BD/8A//AMC1117LzTffzGOPPTZiyr7fwYMHufrqq+ns7HR6myIiIiIyzpYsWcIvfvGLvMHTceicM2dO1in0/lHIioqKnNdOmzaNJ554gr/7u79j9+7dXHTRRVRXV/OXf/mXFBUVUV1dnfW6gwcP0tnZyQ9/+EOWLl3q9FYnzJ133snDDz880bchDuh7NXXoezU16Ps0deh7NXVMle/Vrl27+Ku/+qucSzH7OQ6dy5cv58UXX+T48ePMnDlz4Pgrr7wCwOWXX17wOWbPns3s2bMBSKfTvPjii1x55ZWUlpbmvW7p0qWsWLHC6a1OmFmzZk2J+xR9r6YSfa+mBn2fpg59r6aO8+175Xgj0fXXX086nebxxx8fONbb28vGjRupr69n7ty5ABw6dIjOzk5SqVTe52tububQoUPcddddZ3jrIiIiIjJVOB7pvOKKK7jhhhu47777OHz4MFVVVTz55JPs3buXjRs3Dpx37733smnTJiKRCPPnzwfghz/8Ic899xwf/vCHmTFjBps3b+Z//I//wS233MKnP/3pc/+uRERERGRScRw6ATZt2oTf76elpYWjR4+ybNkynn/+eVauXDlwjmEYGIYx5LrFixdz9OhRAoEAyWSSJUuW8L3vfY9bbrnl3LwLEREREZnURhU6i4uLeeihh3jooYdynrNx48YhI5+QKSD/4osvntENTiWrVq2a6FsQh/S9mjr0vZoa9H2aOvS9mjrOt++V497rE2HHjh3U1tbS3t5+Xi2kFRERETlfOM1rjjcSiYiIiIicKYVOERERERlzCp0iIiIiMuYUOkVERERkzCl0ioiIiMiYU+gUERERkTGn0CkiIiIiY06hU0RERETGnEKniIiIiIy5UbXBFBGRUYjHIRCAYBBiMbAsME3w+aChAfx+8Hon+i5FRMaFQqeIyFiIx6GuDsLhTNgcLhSC1lZoa1PwFJF3BU2vi4iMhUAgd+CEzPFwOHOeiMi7gEKniMhYCAZzB85+lpUZ8RQReRdQ6BQROcfiPXH+sK/T2cnR6NjejIjIJKHQKSJyDsV74tQ9Ucex7pizCwqNhoqInCcUOkVEzqHAlgDhWBjLcHiBqY9hEXl30KediMg5FNwfxMIi5nZ4QXn5mN6PiMhkodApInIOxfqm1YPzIF3oZNOE+voxvycRkclAdTpFRM4hi8wazcCH4c9eg6oYFGU5L20Aly7kvzb28sv/3kisO4aFhYmJr9RHw7wG/B/y4y1RDU8ROT8odIqInENm3wRSogTqVsMDv4KG/VCeBNMGy4CoGzqrZ/HdT9j85rffHQiqA6IQ2hei9bVW2m5pU/AUkfOCQqeIyDnQ3/HyQMoHF2SOJUrg7muzn18xs5RDxyMjA2cfC4twLExgS4DmjzeP0V2LiIwfhU4RkbM0pOPlNQ3QEAIzdykkExNscgbOfhYWof0qHi8i5wdtJBIROUtDOl5u8UOsCqzsH68mJlW+KmZMm+HouaPdKh4vIucHhU4RkbP00jbrdI33Xi880QbBtbCnEd5eAkcWwdtLmHm0kbUNa2m7pQ3DdFbIs9BoqIjIVKHpdRGRsxBPpdjZdQoYVJiz1wsvjFyHOXcJND+c+W/T4c/8Ts8TEZns9GkmInIWApEIp9K2o3MHd7z0lfocXVNequLxInJ+0EiniMhZCCYSYM5xdO7gjpcN8xoI7QthFblhQRN4asDlAcMA24ZUAhK7WH6RZ4zuXERkfCl0ioichVgqBTNTjs4d3PHS/yE//7r7Bd5c+FVwzwEjSwl5Tw3/x11KPJXC69LHtYhMbZpeFxE5C5ZtQ00cjAJT7KY9pOOlt8TLdR99GtwV2QMngFHEWz29BCKRc3a/IiITRaFTROQsmIYBN+6BucncwdOwmTa3F79/6OEdJ3vAyP8xbAGhROLc3KyIyATSfI2IyFnwuVxQ1g0b2qFlAXR4IDEt0+/StMFzCmoSrPhiDK/38iHXxlLOpuXbXk+xeFVmTajPBw0N4PeDV90xRWQKUegUETkLDR4PoUQCqywNa97Meo4JrJw7b8Rxy3a26/2dd2xef/3016EQtLZCW5uCp4hMHZpeFxE5C/7KSqrc7pwfpiZQ5Xbjr6wc+ZjhrEA89tDzLCvTASkQGNWtiohMKI10ioicBa/LRVttLYFIhFAiQTSVwrJtTMOg3OWi3uPBX1mZdfe5z+mO9MTI8ywrM+IpIjJVKHSKiDgUj8cJBAIEg0FisRiWZWGaJj6fj4aGBv6334/XwXx3KhUnEglwV88vuZUjgIWNSYKZdFBDCzdykrLMyWky60SziKotu4hMIQqdIiIOxONx6urqCIfDWNbIfuihUIjW1lba2tryBs9UKk57ex3JZBgfFsP7EtXQwVUEWcMGTqbLoMsNLZVZnyvLbYiITFpa0yki4kAgEMgZOAEsyyIcDhMosNAyEgmQTIbJFEMaqQibCruLprefgWfnwZpaOJl9fMDUJ7iITCEa6RQRcSAYDOYMnP0syyJUYKFlIhEkV+DsV2RY1Bx6Cx6rznteudqyi8gUMqqfk3t7e7nnnnuoqKigtLSU+vp6Nm/e7OjazZs3c8011zB79mxmzpzJsmXLePTRRwt+iIuITAaxWMzRedECCy1TKWfP4/Xmfx7TZEiHIxGRyW5UofOmm25i/fr1NDU18cgjj1BUVMR1113Hyy+/nPe6n/3sZ3z84x/n7bff5m//9m/59re/zaWXXsqXv/xlvvKVr5zVGxARGQ9Of0AudJ5tO3ue6dOtnNPnpglVVYzocCQiMpk5nl7fvn07zzzzDM3NzQNBsampicsuu4y77747b/BsaWmhuLiYLVu2MGvWLABuueUWPvKRj/CDH/yAhx9++CzfhojI2DIdLqAsdJ5RoO1lvwULTNauzZRFikYzm4ZMMzOlXl+vjkQiMvU4Dp3PPvssLpeL1atXDxwrLi7m5ptv5v777+fAgQPMnTs367Vut5vi4uIROzovvvhiSktLz/DWRUTGj8+TvWzRcOUFFlq6XMP3q2c33eXjNt7gL+0EKVLY2BgYuGwXHjzMoBItyxeRqcTx9PrOnTtZtGgRZWVlQ47X1dUB8Oqrr+a89o477sCyLG699VY6OzvZs2cPjz32GP/6r//Kfffdd4a3LiIyTuJxGl5/veAHpmma1BdYaOnxNFD4o9ek+18r2b9+P4ltCbo7u0m+nqS7s5vEtgT71++nva6dVNxZ73YRkcnAceg8ePAgc+bMGXG8/1hXV1fOa5ctW8YvfvELfvrTn1JTU8PChQu54447ePTRR7njjjvO4LZFRMZRIIA/HqeKPB+ahsH0iy6i97OfJZ7KHQYrK/243fmeycR1Yj7p76zKvcndgmQ4SSQQcfoOREQmnOO5mWQySXFx8YjjJSUlA4/n0tnZyZ/8yZ+wYMECvvWtb1FSUsJTTz3F3/zN33DRRRfxqU996gxuXURknASDeG2bNuABl4t/XriQnp4esO3MQkuPB2pq6Glq4rvxOP/e3k5bbW3W1pcul5fa2jYikQCJRIhUKoptWxiGictVjsdTT3z1Jzl+3M5/TxYkQomxeb8iImPAceh0u9309vaOON7T0zPweC7r1q3D5XLx4osvDqzhvP7667n66qu5/fbb+dM//VOKiopGe+8iIuOjr1ySFyj+whd45/rrIcdnlgWEk0kCkQjN1dnrbLpcXqqrm3O+3PaD24HugreVimp6XUSmDsehc86cOVmn0A8ePAhARUVFzmu3bt3KJz/5yRGbhj75yU9y1113sWfPHi699NKc1995550Du977rVq1ilWrVjm9fRGRMzeoDFKwpgarwA/JFhBKnPkopG2dHuUs4gQL2ISXDlwcx+jr055iJicPLYP4d7WNXUTGzdNPP83TTz895NixY8ccXes4dC5fvpwXX3yR48ePM3PmzIHjr7zyCgCXX355zmtTqRTpdHrE8VOnTg08ns/DDz/MihUrnN6qiMi5NagMUszhLvZogc+1fAzTADKBs5bbcNOFwcjpds+xXVDXBm1tCp4iMi6yDfrt2LGD2tragtc63kh0/fXXk06nefzxxweO9fb2snHjRurr6wfKJR06dIjOzs4hQXL58uX8x3/8x5COHul0mh//+Md4PB6qqqqc3oaIyPjznS5zZBmGo0siPT2se+ONvJuKcnH5MuMBC9iUM3ACGFgQDkOBfu8iIpOB49B5xRVXcMMNN3Dfffdxzz338Pjjj3P11Vezd+9eHnrooYHz7r33XmpqaoZMxf/t3/4tR48e5corr+Rb3/oWjz76KB/84AfZsWMH99xzj9Zzisjk1tAwMNpp2gU2+PTpsSzW799PXXv7qIOnp8EDJnjpyBk4B1hWpoK8iMgkN6o2mJs2beLOO++kpaWFL3/5y6TTaZ5//nlWrlw5cI5hGBjDRgI+8YlP8G//9m/MmTOHr33ta3z1q1+lu7ub733ve6rTKSKTn9+f6TtpmvhGsVZz8Kai0aj0V+KucuPiuLMLCvR7FxGZDAzbdvhj+wToXyPQ3t6uNZ0iMrHicQgEWDdrFusbGgpuJhqs0eNh6yg/w1LxFNbCRUw/+lbhkxctgtdeG9Xzi4icK07zmnqoiYg44fVCczP+VIrW9nbCyWTO2u3DncmmIpfXBRcVw1EHJzvsCy8iMpH0SSUiMgpel4u22lrWzptHicNNRdaZTij5nPVpp0C/dxGRyUChU0RklLwuF83V1VTmaYoxmOkwnI4waANT7ic3oa/fezweZ926dTQ2NrJ06VIWL17M0qVLaWxsZN26dcTj8TO7DxGRc0DT6yIiZ8iXpc1lNuUOzxvB74fW1kxZJCvLZL5pZjY4+f3E43Hq6uoIh8NYWc4NhUK0trbS1taGVzU9RWQCaKRTROQMNXg8BT9ETaDeYUH5fvFUinVvvEFjOEzdY4/x/c98hvb3v59IZSWHFy4kvXgxNDbC2rUDheEDgUDOwAlgWRbhcJiAanqKyATRSKeIyBnyV1bSGo3m3FRkAlVuN/7KSsfPGU+lqBu8Uck0+cItt4x4zrbaWryDRlCDwWDOwNnPsixCqukpIhNEoVNEZLi+8kgEgxCLZaa2TTOzsaehITPt7fUObCoKRCKEEgmiqRSWbWMaBuUuF/UeD/7KyiHhsJBAJJJ3Z7wFvHH8ba557laKT3YS645hYRG5MgJLgH3AFqA3+/VR1fQUkQmi0CkiMlg8DnV1uddRhkKZdZZ909r9m4rOlWAikb8UU+oEdvtttPcchMFnevt+zQMWA0+QNXgWGg0VERkrCp0iIoMFArkDJxC3ygjsvpVgTYyYx5trEPSMxQrV9NyzCXq6IFd7TBPwAR8CXsjysGp6isgEUegUERksGMwdOPFQRxthqrC6iqBr6OPDBkHPSMGanokOcgbOfiaZEc8sylXTU0QmiEKniLzrpFJxIpEAiUSQVCqGbVsYhonL5cPzkU4qfwOukyOvC+DPBE6yt8C0rMwgaSAAzc0O7yWeIhKIkAgmSMVSfK27h14gMRM6aqDlRjhZNuiCUw77sZeOPGSaJvV9NT1FRMabQqeIvKukUnHa2+tIJsOQZfVk4mqILoHaNSODZ5CGnIGzn2XB1q0pnHy8puIp2uvaSYaTA7dy8aDHazrgqiCs2TA4eDpckzmsHr0JVE2fjr+3N7NuVbU6RWScaXGPiLyrRCKBnIETgCJIVkCkaeRDMZy1pdyxY4+j7j+RQGRI4BxxKzZUHICmlsFHnX1sT7dhEZkN7Y3AWqCtpwfvd7+b2Sil7kQiMs4UOkXkXSWRCFJwtLAIEjUjD1sOPzJPnUo5KsKeCCYK34qdGfEcMG2mo3uo64bXgF3AVqCZzOb2IWsARETGkabXReRdJZWKOTsvSxMh0+nUNs6KsKdiBXaq93nPcYMlpW6m9/yWHk8RuxP5txKZQP3+fLdnZXY9iYiMI410isi7im07C452lk9HH84CK0QdFWG3rQK70PtcWlzCriuuYGPZRv7bgt8y1z1iyeYAA5hngn9LoVtUkXgRGV8a6RSRdxXDcPaztjHLB41LM+GsrxhnQ2IP27rqIe9mojRQuCUlgGHmio7Zz/N4GkgkQmxYYdGyBzoSkDiVmaE3Ac80qCmDe3eCN0dHogEqEi8i40yhU0TeVVwuZ5uBXHOXwtatQ4754/DIhRFOnbqE7MEzDYSBBzHNisKv4XP2Eewqz5xXWeknGm2FZJg1Vdm7vbv/UMT7Np0q/KQqEi8i40yhU0TeVfpHC/Pv4DHxeEbWs/R6Yfny1Wzf/jGgASgnM8ZoAVEgCDwIJCgvf1/he2nwkAgV2Exkgqc+s8DU5fJSW9vWV2M0RCoVHVRjtByPp57Kr7+E6+T2gq+NisSLyDhT6BSRd5X+0cLcZZNM3O4qKiv9Wa//4Affz69/fW/e6XOnRdgr/ZVEW6O5yyaZ4K5yU+mvHDjkcnmprs5TeX7FOvjVr/NPn5smqEi8iIwzza+IyLvKyRT8a/xaXjp2MW+cdHOwZxqHeqdx+J0SYlYFs+d8kdraNlyu7MXT/X4/VVVVOXuYm6ZJVVUVfn/20DqYy+uitq2WeWvn4Wn0ULqkFPciN6VLSvE0epi3dh61bbW4vKMYH/D7oaoq9/S5aWYed3B/IiLnkkY6ReRdI94Tp+6JOsKxMNaIocVTmByiyvfvtN3yILlyntfrpa2tjUAgQCgUIhqNYlkWpmlSXl5OfX09fr8fr8OOPy6vi+rm6rN7Y0NvMNP8PRDIrEndvRu6uwc2Q1FaChdckHnc71dnIhEZNwqdIvKuEdgSyBE4MywswrEwgS0Bmj+eewrb6/XS7LS5+kTwejOBsq4Ojh0bOtXe0wPbt2d+/dM/wSWXgGFkAqnPBw0NCqMiMiYUOkXkXSO4P5gzcPazsAjtPw8KpwcCmc5D+dZ29vSQfms3b30h04Ep5QHb3Ibxb4/gql6O54IPUlnpz7nUQERkNBQ6ReS8FE+lCEQiBBMJYqkUKSvNm3PWQPlnINEBe1ogfTLrtdHu86BwejDoqBZn90LYfz3DKkCdgpPbSZz8NdFoa941riIiTil0ish5J55KUdfeTjiZHDqu6Z6X+eWpgfKrYMearMGz0GjoZDU4aG86cIAqB9eYPeSpdW+RTIaJRAL5d8yLiDig0Cki551AJDIycA5mFIG7As+Ff47/yY007AdfEkwbLAOSM/dBZN2UWts4PGin0mlH1xkFO3FafXVNRUTOjkKniJx3golEwbFKz8kkbV97nqqDWQb6jiRh/Xpobc3sBJ8CwXN40LYcdhzK1mN+uFTqPFhuICITTqFTRKak4Ws2LdvGNAx8Lhed3d0Fr/dv2kTVoSN5ZpatTLmha66Bn/980gfP4UE7NnOmo+tOeQqfY9tTc7mBiEwuCp0iMuXkXLM5Cg0dHRTZBeeWob09U3poko94xlKpIV8Ha2qoL/AebSOza70Qw1AfERE5e/okEZEpp+CaTQd8x487PzkczpQgmsSsYeEycOONhOfOJW0YOa/pfQ/saSr83C6X+rSLyNnTSKeITDlO1mwWYg4rJxQHAkAQiJFphW4CPqDBsvBv3crkHecEc1i4TJSVUbdhAw+0tNDQ0UF5IoFpWbiKiqj6wx+gp4euP4W0u+Az4/GoT7uInD2FThGZcoZPJZ8Ja1BIiwN1QBiyhtkQ0LpjB23xuOP2luPN5xr5cZ4oK+PuNWuGHGv0eNhaVQWBAPPaXuLwH3bQc1Eqa9kkyzKJxapYu9ZPd7eaFonI2VHoFJEpZ/hUcm42kGV62U4TKysZ+DJA7sBJ3/HwqVMEAoFJ2/6yweMhVGAE2ATqPR7wekn5/4Gdde303PY2fLYFajrAkwDDAtvESng40fF+vtjyCG+fHJouQ6EptbFfRCYJhU4RmXKGTyXnMpMEC9hLAg8WBrZdRKLnFNNO7GbXnKPUd0KRnZlSLzRdbwGh0OStV+mvrKQ1Gj291vXECdi0CTo64PhxsCyKiop4qaKCdVddxWd7P0synASrDB5bM+L5TGAG8J85ymMMXdNpWaeXuU7SDC4ik5BCp4hMOdmmkrNZwF4e5UsDX5fOWMIVf7wr88XH787sSt+9m5jD141GJ2+9Sq/LRVttLYFIhK0HDrDji1/k1IH9YJ0eFT4FbN+zh+2hII/PfJwnXE9w0TsX5XzOIqCGRNbHLCsz4iki4pR2r4vIlNPg8RT88DJIU0PHkGPm8VOwbh00NkJ9Pdg2FBfzQ+BbQKGSlZaDXuYTyety0Vxdzcqf/pT0gQNDAucQNhxPHOcLNV/gRPGJvM/pIff62UmcwUVkElLoFJEpx19ZSZXbnfMDzCDNXLpoomXgWNEJuOxzezOdhrZtg85OeOMN6O2lFlgLtJE/eJoOu/xMtGAw6Cggn4ieoOVDLXnPMci9fnaSZ3ARmWQ0vS4iU87gqeRQIsH+42+QtnswsfGQoIYOmmihjJMD1yzYBMUHTuVcvFkEVAEPAHfneN3y8qlRrzIWc7hgIAkd8zrynmJn24jVZ4pkcBGZJBQ6RWRK6p9KBvj1r1dz4kR7/vM7Mhuz8ykCGnI8ZgL1v/89LF06uesGxeNYf/iDs3NtSJRmX7PZL5Hnn4kpksFFZJIY1c+pvb293HPPPVRUVFBaWkp9fT2bN28ueN1HPvIRTNPM+mv69OlnfPMiIgCGkbOD+gCXwwZE2XKUSWYU1H/sWGZaftu2zDR9XR3E46O51XMuHo+zbt06GhsbqVu0iMiFF2IcPersYgOsPEk8DbxBCd9iHVtppIOldLKYDpaylUYe7Fk34e9fRKaOUY103nTTTTz33HOsXbuW9773vWzcuJHrrruOX/7ylzQ2Nua87oEHHuDw4cNDjp04cYLbbruNa6+99szuXESkTzqdf7QOCo9y9jMpASp5D3+gnKO8B6gH/DC0I9EkqBsUj8epq6sjHA5jWRbfAi4he3DOyg2mnX3sIQ38gWLWsIr38n8pyrIuwd4ZgjoV7BQRZxyHzu3bt/PMM8/Q3NzMV77yFQCampq47LLLuPvuu3n55ZdzXvvRj350xLEf/vCHAHz2s58d7T2LiAxh24UTZY5sNYJFJbCLn9BII9sKnDyxdYMCgcBA4ITM0oD+JQIF7jxjHlx4wYV4Gj2koilsy8YwDVzlLkqWeyja+s+899XsgRPAmATBW0SmDseh89lnn8XlcrF69eqBY8XFxdx8883cf//9HDhwgLlz5zp+4aeeeoqysjI+9alPje6ORUSGMYzCiTI109lzRfvGCX1Oq3dOYN2g4bvUfX2/+4Hvl8Kx7jwX+8D4sMFHPvgRVgRWZD2lpvEl+ndexfEQwE+QBmL4sDAxsfBZMRqe3jMpl7eKyOTiOHTu3LmTRYsWUVZWNuR4XV0dAK+++qrj0Pn222/zwgsvsGrVKtxu9yhuV0RkJJfLV/CceA14duWfZk9jEqQeALNgj6I+E1g3aPgu9f7o7QV+k4Jll8OxKJDkdEdQNzAvEzirK6rxf8if7wWATOCso40wVVhZmrSHuupprdMsu4jk5zh0Hjx4kDlz5ow43n+sq6vL8Ys+88wzpNNpTa2LyDnh8TSQSITI18xyz40GF7d5mb43kTUopjEJU8WDZEKY5XSf5QTWDRpei3PwV/PfgcguCHwIQvMgWgqWAaYN5bip/+Mv4v+QH29JnpTY9/wB/DkDZ+Z1izTLLiIFOQ6dyWSS4uLiEcdLSkoGHnfqqaeeYvbs2XzsYx9zfI2IvLukUnEikQCJRJBUKoZtWxiGicvlw+NpoLLSj8uVCUyVlX6i0VaSyTDZg6fJ9AurMH+9Gb7xSGYdZjQKlsUfjpjsjpUTpJ4H8ZPo2y4Uo/DoKTChdYOGF6sfviDA2wvNL2S5sHEFfMdBOux7/iANOQNnP7XFFJFCHIdOt9tNb2/viOM9PT0Djzvx5ptvEgqFuOOOOxx397jzzjuZNWvWkGOrVq1i1apVjq4XkakllYrT3l6XM0QmEiGi0VZqa9uXe5RmAAAgAElEQVRwuby4XF5qa9v6QmqIVCo6KKSW4/HUnw6pw4biSuLw+brMfpjBA4dBGqgnlHMTDWQ2Jxn19efqbTsTj2eGFINB/k8kQi+ZP6EYMJ3MrvO88dA0My1AnfBk+jM5DeBqiyly/nv66ad5+umnhxw7duyYo2sdh845c+ZknUI/ePAgABUVFY6e56mnngJGt2v94YcfZsWK7AvdReT8E4kE8oxaAlgkk2EikQDV1ZkQ6XJ5B/57NLzezFrEQABefDrJ210W1sWH+IHrz7n+8DNc8s4BirK0grQN6J07jRJ/njWR51o8nqkN2peQK4c9nO77BTmCp2lCVVWmqL0T6cyzOV1qoLaYIue/bIN+O3bsoLa2tuC1jkPn8uXLefHFFzl+/DgzZ57eBvrKK68AcPnllzt6nqeeeorq6mquuOIKpy8tIu8yiUSQfOszM6y+dZxnz9s3AJryT6O9rp2k/3q4ZD/7ToDZAp4OmJbIbEKyTTjlgUQNHF49nw+M586ZQGDkkOwg/UGzHXiHTL3O4mnTWFBZSdHs2ZkRztFsMy/KPKPTTVVqiyki+TgOnddffz3Nzc08/vjj3HXXXUCmQ9HGjRupr68f2Ll+6NAhjh07RnV1NS7X0KffuXMnnZ2d/Jf/8l/O4VsQkfNNKuWsXFEqdW7nc11eF7VttYS2TCcFpMvgzTW5zy8tnXZOX7+gYLDgcGIRUOR2c++KFdTX1+P3+yk602CcyBTdd1o+Sm0xRSQfx6Hziiuu4IYbbuC+++7j8OHDVFVV8eSTT7J37142btw4cN69997Lpk2biEQizJ8/f8hz/OhHPwJUEF5E8nNS7H00542Gy+uidO7FJBJvFj7XNc4pK+Ys/M2aPRv7kUcyazJnzDjz1xsoOh8kRH3ezUSmmWbhwmd4440dQzZ5iYj0G9VkyKZNm7jzzjtpaWnhy1/+Mul0mueff56VK1cOnGMYBoZhjLjWsiyeeeYZamtree9733v2dy4i5y0nxd5Hc95olcxYQXrkMs4h0jaUzFg+Jq+fk8NFk6l0mm2JBOv376euvZ14KnVmr9c3X+4nQBVhzIEVo8NOI01FRZi/+Is17N+/nvb2OlIp9WQXkaFG9YldXFzMQw89RFdXF8lkklAoNKLs0caNG0mn0yNGOU3TZN++fbS1tZ39XYvIec1JsffMeWMz0rhpD3QlyRk803bm8U17xuTlc3O4aNLqO88CwskkgUjkzF7Pl/k+eEnQRh1r+TaNbGUJu1jEayxhF41s5Yvl32bDhjrKyhIM3uQlIjKY4+l1EZHx4qTYO5h4PGNTruil/Tv4Thc0LYAaD3hcYBhg25BIQUcCWvbA5RU7x+T1c/I5LF3UV+oIMn+Cob61maPW0IAdCmFYFl4SNHM3AKkZ8Lsb4dvz4TdAK/CTjswoxsxpUOOxuN29lerqM3tZETk/KXSKyMQZVHOSWCwzfWyaXHqBh9KFHsKr4qTLsg03mrjdVVRWjk25olh3jJNpeKzAss5o97nZyBTviRPYEiC4P0isO4bV19ncV+qjYV7D6c5BDQ2ZCux5ptnThkGwpmbofWapseyI38+p7z/HtGN7MPrKRqVmwK/+Cf76EHT1MLKYVDITykOxHfxuWTx/xyMReVdR6BSRiRGPk15RB2+GRxRgN4GLgiblL3vZ9eRi3nHHcxd7HwOWwxJBTs/LJ94Tp+6JOsKx8Mjni0JoX4jW11ppu6UNr98Pra05yyalDYPw3Lk82NQ09D737IGamtE3Rvd66Vj0A3zbv4uHDqaRYN9t+/jeO3b2wNnHBg50nyKwJUDzx9UXU0QyFDpFZEL0PBBgWpbA2a8IC/YkWPLsSkoeHd/gYjpc7u70vHwCWwLZA2cfC4twLHw6wPVXsg+FCO/fTyqdxjJNoh4PwZoaHmxqIlFWNvQ+33nnjBujv5Nw8yaD6kZ99Fo6dr2TM3Cevm8I7VdfTBE5TaFTRCbEwf8ZZGGBkcIiLPb+zxALH83/XI6npx3ylfrAwcy5l/msWzdidQA+X2Ym3Ekd9uD+YMERUwvrdIDznm7leeOOHWxzsF6zPB4/48botjUyXh4/5eza9qMHWLp9O5ZtYxoGPpeLBo8Hf2UlXpf++RF5t9HfehGZEIbDmpPG0fzpb1TT0w6DZ8O8BkL7QnnDoNEzi9e+8UPaDmVfYhkKZWbC29ryB89Yt7M/h2zrR68sKyF09ChWUZ76mek09R0deRuj51hai88HlUfms4o3KOsvl/TOdCzecXTPPekUnd3dQ46FEglao1HaamsVPEXeZdS0TEQmhJ12WAA+lf+80UxPO+X/kJ8qX1XO6XMTE+8rzSQOvSfnnh7Lyiy9DBR42bNZP9rEJhYe7sJM56ifmU5T1dWFv6Ul5+aj/nbu69fDtm3Q2Qmvv575fds2+JfYxayhlhP9heHjs0bxD8fIM8+6jJOITFn6MVNEJoTlMLoUOm/U09MOeEu8tN3SRmBLgND+ENHu6MCUfXlpOfXz6nnpZ3/NdmtkI4whr2sVntU+m/Wj9omX2PK17/DtP24iVFND1OPBMgxM26Y8kaC+owN/Swvekydz1vj8xjfifPSjAe64I4jHE8MwLGzbJJHw0dHRQEuLnwMnPbSwgDW8Cce8zJy2H5J9T9AD/ArYT+aYDRiAG7j0JNScgGFrTM+qjJOITFkKnSIyIeIuHzhYG3gsSwH4VDxFJBAhEUxwR/gObk3dim3YJNwJOuZ10PLhFk6WnBxyTbbp6Xg8TiAQIBgMEovFsCwL0zTx+Xw0NDTg9/vxfjz73PjSLzt7n3lmtQHn60f3xPfQ+N8bh6xRTaVizHCdpPmxx4BMOaNIEyRqIOUBuwFeqwdXAjzxBJWp+JAd/z2xKLXLrsQ3+y2KikYG95qaEFdd1cqaNW10nOyr/dlRQ82K39ORALsHeBxytmbfH4XwGtiwYUTwjJ5plyQRmbIUOkVkQnTOamBZMpRz9zpAGpPXLqindtCxVDxFe107yXASLLiYi4dcU7Ovhqteu4o1q9cMCZ7DR0Pj8Th1dXWEw2GsLFPPoVCI1tZW2tra8GZZlOmwI2XB85ysHwVIppJs27dtyBpV27aI14CnA9Kl0L4BkhWQrUV6wuoi2l5HbW0bLpeXVDxFW/OX8F2TPXACFBVZVFSEaWoK8B8//ns8Sz2cCt3GX39wG8GSA+z/d3IHTuirnXQAWlpgzZohD1l2of3vInK+0ZpOEZkQHf/ZT5gq0jk+htKYhKmi4z8NLQAfCUQGAmc2RRRREaug6VdDa1UOn54OBAI5AyeAZVmEw2ECORZlOuxIWfC8QutHR9zXoDWqhmGy50ZIzoXIjbkDZ+ZGGNKeMhKIkK74Tc7A2a+oyKKmJoTrPdNZsXUFV+68mmv//Pe0fvJvuPDItMI3bNvQ0THydoz8SxNE5Pyj0Cki4yoeh3Xr4IXtXq5ytfFt1rKVRnaxhNdYxC6WsJVG1rOWz1zaxlcfHDrKmAgm8nfHJBM8a/YP7cpTXjp0mj4YDOYMnP0syyKUY1Gmw46UlBdoD9+/fnRtw1oaL2nE7XIXfM7+Naoul490WWaE8+0PkjtwDroy0160789x5nFH78HjiQ4Jzy6Xl+U1j1JeVOXoerKs3yzXznWRdx39rReRcdO/U/p0Qx0vdzO0YPm0abBiBaxcCb/MUucyFXO2FtCTPN1/3MSkft7QPu0xhyWbojkWZTroSIlpQr2D9vDeEu9A556l31lKZ7Sz8H11R/F4/oREIkS6zCJdVvASAFKpzPtJxVJgOFsjYBhW1vBcKLT3q+zq4mdNTVimSWzmTEI1NRy97z5nNywi5w2FThEZN4FA9g6OM0jRRIQaEnhPpbjg9TR0HeEnP4nx+oLXef4Tz/OO+x18pT4q31/JqrdWUdabP2UZdmb61sSkyleF/0NDp+mdBqZc5xXoSIlpQlVV5rzRcFpCKdLTzXetz/MnJS9Q1PN/KTj828e2M+fZlg2208kuM2t4Nh2uMShJpVi8f//A1/W7dsHOnfDrX4++NaeITFkKnSIyboLB7IFzA+1UkDw9O3wUODqTmcxkXngeS15dwprVa+gs6SS0JMSW2VvY8MSGvMFzums6jZc0Uj+vPmtHIqeByTCyb3jxeod0pCQaPV1Uvbw8M8LppCPRcE7XdvZY8I9dh/lpyWP8uOJ/cfzQI1hWsuB1hpF5fsM0IDHT0Wv19pbj94/c7R9xWGszATSS2XNkAaZl4XvjDRquuQb/z3+edaOWiJx/FDpFZMzE4/DAA3GefTbAkSNBUqkYhpHC641xwQWnWLx4Gl84dQu+X3wMw86+IHHwxqDHrn0My7Q44DtAy4daWPPCmqzXACyqXsTWz2/N3EdPnHX/sY7g/iBvn4hx5IjFscQ+R++huHgfqWGlhvoN6kh5zjgtocQ0DxbwZk8vtySu5w7j/7CA3xa8bP+JBIt74rh8LuiogZoOKMq9k9xKmzQ21gP5d/vn09X3a7hQezutdXU5KwSIyPlFG4lEZEzE47BiRZzvfKeOQ4fWk0ptAzqx7Tc4dizGW28d59//PUb0pbk5A2e/4RuDbNOmY97IHdEDTPDUZ9Z09rfJXB9cz7Z929h9tJOjRa9jL3AyKghLlvQM7PgeDw3zGhyMdhrgyfx5WED7iROE0otJk39HeNqGzQe6qHuiDqPBgB/dCF1zIZ3jurTB9OR8Fi3yF9ztfyYsyFshQETOLwqdIjImAgF4880AECbXekPbhuJ3PFkfG27wxiCARGmOjjYmuKvcVPorM/eRq03mh4E8O9ANA+bOhaYmBnZ8j4fCJZQMcM+FBUNLQrVwI13MJZ1j0DJtQ1cSNu2BcCxMy4dbcF98Idy+AZ69AX53GeyZD3vnZX7/3WUU/XwVH7jq17hcXke7/QFwwaVmZjq9wsH7zVchQETOL5peF5ExEQwCBCm0wcUoMDo3cJ499LwiXxGeRg+paArbsjFMA1e5C0+9h0p/JS5v5uMtZ5vMEmA1Ay0cp/fC7OmZNZkeD9TUZAJnWdnpHd/jYXALzn/a9QI9vcfoWwkJ0zyZEc4FTeAaup71JGWsYQNNh2+ipiSKx5UJzrYNiRR0JKBlD5xMA1hsf3s7D7U9lOnsFLqH1Iv5/xyd7vZnFjwPLD0CS8k+rT5crgoBInJ+UegUkTGRySiFg4qNs8409rANPcWzi1mxdUXh++jOcw8lwLWZ/7zYDU9ekeO17XM3pexEfwml/z1rO53d3Y6vO0kZj+2ZAcnCIS7aHcXldVHdXO3ouR1Pq9sQK+27xtkV53TKXkQmL02vi8iYyOSIwmEiQY5p8uHnuYeeN7zYe877cBh98p3Vv+N7vPnOqIC60/c7uqDndLc/BgTnQRrn/8A4fm4RmdL0N11ExkQmRxT+iOmggzTpvOekSQ/ZOJSt2HvO+3D4MZfvLJfLWcA91xo8njP4kHb6fkf3zD6nLZjcEPgwhH1wgcPnLi/UtklEzgsKnSIyJjIZpXBQaaGF6PQuMLIHzzRpunxdtHy4Bchd7D3nfZQ6C0uenG3ETTweZwH3XPNXVlLldo/ug3qas9qbTkeK+zU0NDgbkZwHiRKoWw3T5mT7R8YDfAvYCnQAneza9RyNjZn2qPH4qG5LRKYQrekUkTHR0ADbtjUAIfJN+XYbJ/npdWu4eXpTpm5kwotpXkA8DdHiKLvn7+b5TzzPJe5LKC8tz1nsPed9zGsgtC+UdzrZAGqybqI3cburqKwcZVuhc8TrctFWW0sgEiGUSBBNpbBsG9MwKHe56LEsdpw4MXRVrKcGEh2QZ63saEaK+/n9flpbW/OXTfKRqQpAJnhu+WvgcQYt7fUAbUAVgxvFx2KwbVumyH5ra6bovsp2ipx/DNu2na3inwA7duygtraW9vZ2VqwovGFARCaP/jqdb75ZR66ySf1liTZsyOwS7w95tbVtWYuxn9F99NXpzFo2CcAy8Voe7n/PYi6+IM706RYLFpgUF5fj8dRTWek/Z/dyrsVTKera2wknk6ffWeoE7FgDyQNkC579I8Vtt7Q5Du4Dr9fXkSgUChGNRrEsC9M08V7g5bWS14hfGccuGfaaPcCvoORQCSVHv8OxYzcxOHCOuD8T1q4990X3RWTsOM1rGukUkTHh9cKOHV4eeKCtryNRiHQ6imGk8Hhi+HynqKmZxl/91QWUl08bs5A3uARRaH+IwyeiHDli0dNjQnc5xW/Xc+EuP60e7xm3rpwo2UdC3diNT3LyzY1wfBczrBMY2JiYZzRSPOT1vF6ac6TBeE984M842h3Fwjr9mn+cec3rrvGybVv+17CszIiniJx/NNIpIiLjYulS6OwsfN6SJbBr19jfj4icG07zmjYSiYjIuHBajlNlO0XOT5peFxGRMZGKpzIdj4IJUrEUvW+9D3AXvE5lO0XOTwqdIiJyzqXiKdrr2kmGkwN7yMp4ByehU2U7Rc5P+nlSRETOuUggMiRwAtQQxyjQ9tQ0oX5iyqKKyBhT6BQRkXMuEUyMqJJ1I3uYSzJn8DRNqKrKVBAQkfOPptdFZEL0r/c7+lKCQ2+k6Om2SVsGJ0wXb5V6CFZXsuKDrilVwkhOS8VSI46VkWYD7bSwgA48JJgG00xKq9yUlzPlSlaJyOgodIrIGUml4kQiARKJIKlUDNu2MAwTl8uHx9OQt97m8PV+M8n86rewJ8GS7VFub6ultdWlDjVTTCqeovdQb9bHykizhjcHvnYvdHPlrivH69ZEZAIpdIrIqKVScdrb60gms3caSiRCRKOtOTsLZVvvN1gRUEGSz9oRHg9XEwioQ81U0f8DRTwZZ9PHNtFxSQfH3cexDAvTNpmZnEnNvhpu3HIjZb1lGKYx0bcsIuNEoVNERu311wOcPBnGNHMVVLRIJsNEIgGqq0emxWzr/YYrAmpIqEPNFBMJRHh7/9vctvo2ui7owjZHrt/smNdBcHGQDU9swFM+sul9f7vNYDBILBYbaLfp8/loaGjA7/fj1dC3yJSj0Ckio7J3L/zqV0GWLrXgxAzY1AQdNXDcA5YBpg0zE1DTQfz2nVA98jmyrffLxkPmvGj0XL4DGUuJYIJNKzflDJwAtmlzwHeAlg+38Hfv+7shj8Xjcerq6giHw1hZqsSHQiFaW1tpa2tT8BSZYhQ6RcSxeByWLYOHH45lAudtG6CrAuyikSd31HAidITU71K4vEM/amzLWffd/l3O6lAzdaRiKTqWdOQMnP1s06azupNKf+VA3/bg/iCdkU5i18bABpLAPmAL0LdE1LIswuEwgUAgZx94EZmcFDpFxLFAAI4dA8OwMiOcuQIngF2Etf89fKMmQnxV9ZBdyU7X8dlkzlOHmqnDtmyOu487Ord3cS8ni09S90Qd4VgYCyuzruI9mcdn9MygqaOJmgtq8BzyYGBgY5OwEsSfjpPyj/yBRkQmr1F9lPf29nLPPfdQUVFBaWkp9fX1bN682fH1mzdv5uqrr2bWrFl4PB4+8IEP8OMf/3jUNy0iEyMYzPxu22ZmSj1X4Oxj2EXM6kqwfj3U1WVGSgFcPmdBIdH3c7E61EwdhmlgGc6Gpm3TJrAlwKH4G6y+1OKRy+EHH4An62BTrcFzCyq44fIjvO/4QhawgPnMZwELeB/vo6Grgfa6dlJxZ0s1RGTijepHxJtuuonnnnuOtWvX8t73vpeNGzdy3XXX8ctf/pLGxsa8127cuJEvfOELfPzjH+cb3/gGRUVFdHZ2sn///rN6AyIyfmKxzO+JhC+zhtMBj3EKa/Ub7P6jBJduSfGe2TbXV57i6hAU5ckmaaADjzrUTDEunwvTdjaeYWKy48BL/NMKmwo3FA0ZALdhyW547xtwVQjWbICTZQOPFlFEMpwkEohQ3Zxl4bCITDqOQ+f27dt55plnaG5u5itf+QoATU1NXHbZZdx99928/PLLOa+NRCLcfvvtfOlLX2L9+vVnf9ciMiH611Z2dDRwmWXiZJL8UvNNOv73nxN7aSbBmhoCN97IP64qY8kWqDgARVmW/qWBLtz8yKhUh5opxtPgYebRmYVPBMpLy2ko25UlcA5SZGf+R2lqgcfWDH3MgkQocXY3LCLjxnHofPbZZ3G5XKxevXrgWHFxMTfffDP3338/Bw4cYO7cuVmvfeyxx7Btm69//esAnDhxghkzZmAYqs8mMpX0r61safHznzz/xjQH1xSn32Hpvr0A1Hd08GfBIHUbNrBmQxlNLVDze/AccGEcm4aNweGSJM9+bBOvLdzFNO9R7HKL+hYTX6mPhnkN+D/kx1uiXcuTVaW/kmWrl9Fh5d9MZBTNpGf+53jG6OGHRhkWBiY2M0lQQwc30kIZJzMnF9lQ05H1eVJRTa+LTBWOQ+fOnTtZtGgRZWVlQ47X1dUB8Oqrr+YMnZs3b2bJkiU8//zzfPWrX6Wrq4sLLriA22+/na997WsKnyJThM+X+f3kSS+7k9XU9IeCPFycHokqsm2qDhzggZYW7l6z5vTA1e9K4UsroDgOt9SBLwx96wJjx/rOiUJoX4jW11ppu6VNwXOixOOZHWXBYGa9hWVlfhrx+aChAZffzyOPPsK272xjr7UXK0stV6NoJq66J9jpuihrudYOaghyFRtYczp4erKPaDqthCAiE89x6Dx48CBz5swZcbz/WFdXV85rd+/ejcvl4vOf/zz33HMPy5Yt47nnnuPBBx8klUrx93//92dw6yIy3hoaMoXaLQt+Z13AYk6SfytRGg9DR6iKbJuGjmGjVp6+0aoPBeCC04FzOAuL3bHdXLPpGn5+488VPMdZ/PBeAncsI1h2jNjy02VZfUlo2Af+7wbxtrZS3tbGq/e/SmBLgND+ENHuKBYWJiblpeX0zP9czsAJYFPEASpooYk1PJY5mOP/CXU0Epk6HIfOZDJJcXHxiOMlJSUDj+dy4sQJbNvmm9/8Jl/96lcB+PSnP00sFuMf//Efuf/++0eMoIrI5OP3Q2srhMPQYlVyFVEqSOYInmncdFFJy4hHyhPDRq2MvtGqS4KQs8vRae0H26l7ok4jnuMo3hOn7jvLCC85hpVln1BoHrQutmn7/ht4AwG8zc00fzx7Hc3GHTuwhv8/MIxNER3UDDqQfXOSq1wlk0SmCsd/W91uN729vSOO9/T0DDye79pkMsmqVauGHP/MZz7Dz372M1599VVWrlyZ8/o777yTWbNmDTm2atWqEc8nImPL64W2tszsaujpfXy7q4z/D5NLsCnF5lLeopheXCTw0EElLbiyTMGbw6u9232jVe6Yo/uYfwxu/ffdfGveAzz46UfP9m2JA4EtAcJG9sAJYJkQ9kFgpU1zgb6lsZSzdZgJBlVISGSplmCCp95ZFQUROTeefvppnn766SHHjh07luPsoRyHzjlz5mSdQj948CAAFRUVOa+tqKggHA5z0UUXDTk+e/ZsAI4ePZr3tR9++GFWrFjh9FZFZAx5vdDcDAT/Crq2ARDHQx1t/C/+mqW8VvA5rOHV3hN9H0UO6zuWpODOIBxY889w9YOnq87LmAnuD+YMnP0sMzPiSTB/31LLdrYO0+qvj5A2MnVhBzPBXeWm0l/p6LlE5NzINui3Y8cOamtrC17ruDj88uXLef311zl+fGiniVdeeQWAyy+/POe1H/jAB7Bte0RNzv4Qe+GFFzq9DRGZLGKnRyW9JGijjhJ6HF0a9QwanUoDHX1fO63vaGca18w93JMZdpUxF+t2NgodLaVg31LT4eZRExssE/PoJbhDt+Je5KZ0SSmeRg/z1s6jtq1WHYlEphDHofP6668nnU7z+OOPDxzr7e1l48aN1NfXD+xcP3ToEJ2dnaQGTZ/8xV/8BQDf//73B45ZlsXGjRspLy93lI5FZBzE47BuHTQ2wtKlsHhx5vfGxszx/pZCMCJYeEmwkD0FXyJtGARr+kat0kCXG1oqM18nfY5us7w783uRDW/97GniPfH8F8hZs3Ju+xl2nkHBvqU+l7OgeEGRzbz5a7nq//8tV+68mitfu5Irdl3Biq0rqG6uVuAUmWIc/4294ooruOGGG7jvvvs4fPgwVVVVPPnkk+zdu5eNGzcOnHfvvfeyadMmIpEI8+fPB+BTn/oU11xzDd/4xjc4cuQI73//+/nJT37Cyy+/zOOPP860aU6q/YnImIrHM70qw+HsI1WhUGYXUVtbZjr7DBqip02T8Oy5PPjHt8LvPJkRzpZKONn3UbS/AeZty/vjsGlB/aBJk56Dh7SpaByYDscoTJuCfUsbPB5CiUTeGGsCH52zkurqm5zeoohMcqP6MXHTpk34/X5aWlo4evQoy5Yt4/nnnx+yCcgwjKx1N3/yk5/wwAMP8Mwzz/CDH/yAJUuW8KMf/UibgUQmi0Agd+CEzPFwOHNec/Ppop2FlJRAZSWUl1NUX89FX/JzyyNeQiGIRsGam8mv5eWw/H1+nuj+J3pLe7IGT9OCqhj4tww6dmw+b3S9TWBLIOduaTl7F7idbdg5MOdS1i3/HP5UCm+OEU1/ZSWt0SjhZDJr8DSBKrcbf2Vl1utTqTiRSIBEIkgqFcO2LQzDxOXy4fE0UFnpx+XSDyAik41h2w5XdE+A/oWp7e3t2kgkMtYaG2HbNmfnbd2amW5fvz7/+j3ThLVr+3YeObPo/YvYffFuls+DZOnpWpDl3ZkRTv8W8A4qpLGLxdQ03EzjF/4XWz+/1fHryOjc/MwH2NjZTv5/MAyYdwNcuppZdpLfXHEV88uy/3AST6UIRCKEEgmiqRSWbWMaBuUuF/UeD/7KyqyhNZWK095eRzIZhhyR1e2uora2TcFTZJw4zWtaECMiGTFnG0WI9u1MHly0M1vwNE3OpHG60WvAC/Ao0OjgfO/CLm5buYNQz+FRvY6Mzo2VRfzHHjiQJEfwNMA9FxY0gVHEMdws+7eHiPzZfVmXPXhdLpqrqx29dn9ADSYSfMF1XWIAACAASURBVKT7v3F1KkxRzsl5i2QyTCQSoLpaI98ik4lCp4hkFNhxPOK8IUU7++fKrdNz5fX1mcA5ynJGZt9a0SBQD3k7HtkGpOqOc/21P+YjqSJSqbhGt8aI20iwYQW07IGfJhaSPJUmM9JowjQPeGoygdPV1+jDKOLY9LkEXniA5k+eeS3VeCpFXXv7wFT8Z/hNnsDZzyKRyF8rVETGn0KniGQ43Bhk2wbhdW+QCCZIxVLY1g0Y5p/j8rnwNHio9Fee1a5iX99a0QDwZ0AV2YOnbUByLuxpgqIii/eYlka3xpBtW5S5YE0VhPiv7GVB4YumeQiF/iecRegMRCJD1n56OJ73/H6pVP5aoSIy/hQ6RSTD4cagE/uK2b9+f9bldIlQgmhr9KzqJzY0NBAKhUhYFnXAA8BnF4I3nakdb5twygOJmkzgTPcNrBUZaHRrDBnG6R9KBoq2F76IaG/+5h+FBIftcjcclm56883w/2Pv3aPbqM/8/9eM5PguBSlAYhtisCFBhQLxulgxDe3SLadsy7ZdaMvpOtBSKO52gRQKLRvtthW9/TYtLFCShW5po23Z7lK26+1uv71DmkYiJoZCEQmJQElsJ4RIscYX+SLN/P4Yy9ZlRho7DrGdz+ucHNDoMzMfyZLmPc/ned4PHR2rkGUZl8uF1+vF5/PhFI0EBIKThhCdAoFAx+uFYBAmawvT6EbfI2UQr4Tnl8PmPwPUPs49+Ajrt62nZqwm9xgqJCNJov4ozZus5evl4/P56OrqIhKJoKgqdwNn/COstBBYE9GtE4fdPn1TIpcoJ5pC01DT1lpeZpOdw/lcXkMSzaJ109jYBK+++urU41AoRFdXF93d3UJ4CgQniZkb7QkEgkVBKpFi31376GnvYecFO3nuqasY1c5Em4xi2YAzRqAxAWsOw40vwI+egr1nxHjS+ySdN3cyVD5UeGBVj3jOFqfTSXd3Nxs2bKCurh1YhSRZ8/LVNIt5qYIZ43B4yVwyarH4900pum/nDMjkcN7f28sORWE8z2BFodbScZSh3MubqqpEIhH8ooOVQHDSEKJTIDgFSSVS7GrdRe/9vSg7FEZ2j3DG649RzhtIJlEsG7pH5sZnQJM1+lx9BNYFjI8fm3l0Kxun08mmTZsIh7dz3nm7gXMt7Ze9BCyYWxobfVRWNgEyHsKgpYvvoKVBCeMen9mCWn4OZz5hPKRLLO+nNYmw7cKC7aqqEgqJFAyB4GQhltcFglOQqD9KMpLMyct0EjYVnBlsgHeyG5Ama4QbwobjNHVu7H8zBfK/+U3xDjcZ7HZr4wQzx2530tLSTTTq528Tz/P/jh5icMkKkKbLvKoZooOteLQwDi2O7D7M0vfI9PS0WzZtz8/hzCfAetYSpI4+bAaf1zQS/VI9gfTHgRcLno/FRAqGQHCyEKJTIDgFUYJKQSGQ3WJVsDuZdZwq42VWSbZWaJJKpIj6o1mV8BqSLOVUwjuddt7+di+9vSGMzcAnSYPjyZfh4xfoRVFe76wsmwTm2O1Omps30Qz86QsbuPjcUQbO8ECZg2opyeaKL1EnHcEmaSABVUBVGkXZgaKEiMW6Spq2x1PFo+TD1NDJZjoI4CGMAwUJFQ0ZBQdhPAToYLjGWFyqVq3BBALBnCNEp0BwCpKKF17YrVYFZ+foqZLxPnZ36Z+WzBJ/fsQ1Q3YlfGOjj1isy7wLTRoq+6HxwQEYHtC35feKF1jCyo2A3Wnn7C9+iejaNfgbthCqhysug7rzdBcBY6yZtqsWmuQNU8MWOosPkoybHcgWrcEEAsHcI0SnQHAKYrT8bbUqWM0SFbJm1CAdHG2l+3QbLfHnnii3Ej6ztKsoIVKpGNqRN5Dix7AnwBGGxgDYh7P3z+sVLyjJTG4E7E4nzh09bJpsDtDT3oMiJwt3ykHlxRdDnH66+X2ALFm0YyqFiXh1u0UKhkBwshCiUyA4BTFa/k5ZrAqOVU7/v2MkT1zKUNlUSaOv0XT/xGgC/zY/F/30IlaqJXyQsirhM0u7U1jpFa+qesRTYImZ3gjgdE4J+tTOC2Bkd8lzDA3FaG01D0C7DPqtzwqlMPVDlmXa2trm5vgCgWDGCNEpEJyC2F2FX/0EHhwlionSQLBB/39Zlbl45GIqz6/Ul1/ddhxtxTsSHRiKcfGjLQwMHuT7ie9ZmqtpJfxMe8ULSmKU61uAiSWWdbsq1TwAnUjw1e98h7Jnn8U1OIisqqiyTLy2lqDHg3/9epSaGr35e7GAaDoN4dwiNxmZels97/vp+9j5vzvnrIOWQCCwjvimCQSnIA6vQxcOWTphP+tZRpBK+gyFZxqIuOC+K/QLeNOyJr7zxe/grLCWL5lIpbj4J7cxMHgA0JA0a8uoppXwM+0VLyiJUa6v4TiDGwGrdlWaJhsHoBMJaG3likgEyeBv1hYOc00wSOvDmxmpqiEtg2bUH1VVqTh2jLNCIWg+j/H949RO1OLBQ8dEB7aIjRFGgLnpoCUQCKwjvmUCwSlIo6+RWFcsZyk1TQ272MxKAjgIs6RskOHTFYbVUWJV8EJjOZvfu4zzhpxcEL2AT/zkE+x+eLdhkYkR/miUgfgfYVLQapI1WyXTSnirBSGicMSUTKpDsDdIfCTOP8b/keUsL7mf0Y1AdseiYiiKnlNZEID2+8FEcALYNI2mvj4C/xAgeaiTp/4awh4YabRjP6MMWZJw2+20ORz41q3Dee217Ltrn96y1Yw56KAlEAisI0SnQHAKYnfaaelu0auUQwqpWKZKuYqj7nsYn1wmr3LaOR1oBBoPpPjtxUf440A127DzNBIyGrWkOM+egNX7ifxnP+NvK0eT9YIQl92O1+HgtoYGfnTkCDTfBnI5SBLK6WfAUQtznayETyQS+P1+gsEg8XgcNRpFBlyAF/ABhjFXUThiyIGhOBf/fBMDSxrhzItAkhhbYk04Gt0IOBxeFKW4rVU6LRMO6zmVBdoyGCwZlbZpGuteDPMC0Lll8rztVazZvsZw/PGkCwgEgrlHiE6B4BTF7rRbju4kEtByscqBgRVTbTKzeTntgF8sgw/tgrHcCuagovDPvb2kVBVqz5/aHr4QPLvBVizgOVkJn0gkaG1tJRKJGPoshoAuoJs84SnLIApHCkikUly8cwcDy67MMXdXnECRwGAGI0usjK3V0FAEm63wb5ROy/T3NxEI+AD9T5Mdad0aeY4mC3Mvy2vBWaz71fGkCwgEgrlHiE6BQFASvx8ODpQZCk4ANAn6KyGwEjpfy30KSGlawTJ3YD2sDUJdn4nwzKqE/4L/C6aCE/RgVgTwA1O1KbIMTU26QbwgB380yoBUmSM4QV+u9oSt3Qjkk+lY9PWv+1m6NITDEUOSVDRNRlHchMNtBAI+hof12wLnmQlaH2slEo+golLCE36KfD/ZYt2vrHbGmqsOWgKBoDhCdAoEi51EQleNwaBe8a2quiCbQdeeYBDUEv2u0SQIm/hzGngvDtdA52boCOhCx3FsFGn0CJqkoS3VuPyvLp/KEQ0GgyU7yahAqKICGhvB7SbRdin+KyD4k6uJj8RRUZGRcVW58DZ48a3zWS6CWmwEFaVAcMLMbgQy5OeFHn76LgZ+902TKp/Jw8iQWuufEpyQ6/9ajHw/2WLdr6x2xrI6TiAQHB9CdAoEi5nJimAiEeN8OYtde6y6E6GUzWh6wzWwJdNYZvgNeO5GQOZO7wZufO+NWee3NoFYYyOpl0K8GtnIjn3f5e2M8vbluk+4koKwAoH9EDoYomtPF903d5+SwtOs1WTBjcDAOOXjcc51nWtoiZUYzY1WAvCOz8EL74R4E1AoPDMBaFtjEPXQ9GcyXlkw1JCDyx0MDULNZCMAs+5XidEED7U9xPNrn2ewchBVUpE1marU6aiNH0euvYiRGjuqBPaKUep6evA6HPgaG3HOlVeoQCDIQXyzBILFzGRFsGmBhsWuPZZdh6yGq4yQJGQVnLUN+NblLolb7Zd9SBviJ3+4iGXqQZqrC5/3OGCtGzp7VCLxCP5tfja999TrVlSs1WT2jYBz4jDfGr8VTl/JhKYSl2SUiAuHw0tjow//ttxoJQAVCtzSCs9shF4vJN2cVu7mzNozcLv1FFufD9oCuTcSwQZoO2gkU6dJSxI/u9zDP18DmzuhJmm81D8lhldGclu12qphzX1QUQdy9plUoopCSFHoisXobmkRwlMgOAGIb5VAsJixUBFspWuPZdchefa5cdK4xh0huPtt7y+IPlrtl339NQmWaUOm/b9tEtRVQsdK2PKaytO/f5rUZalTzqPRaqtJh12jqSzJSF6nIUUJEYt1sePgabmCM0OFAlfdPfXQc1Y72z+5PWdI/n7+K+CaPdAUNxaeaUkiUl+P/4YOBiv1VIDP/dq4+9WUGJby5rayAyrrDFML9DlBJJnEH42yqVlYKAkEc82p9UsrEJxqzFHXHpc1Jx1wTFgcWEjFQYVv/RIY/qPB+a1NwLM6ja1IRyXQhadnMjj25rE32dW665QzB7faatIpmVkJqSSTEd5Qllo6Tmyk8PMl5+VmKhXQegtsfAa8veBO6vcwqmwnduZqgh4P93V06B2JgMh7ltDydeO/W7A3aCyGHR5TwTn9yiBk0EJTIBAcP6fOr6xAcCoyR117vF4IhTTUYsvnkgYes4t1ib6F6TSnZdoWGghgr9dLKBQqvswuSThOKy4oMjgmf/lUST0lzcG9DgchRSlqYSmRxkO4yAiVVHrE0vmMBKCrygV5f2qlAu6+Km+gYzVc+lDB/sMNdtMbhfiIyc2W3aTQLY8jY2OWxgkEgpkhWnUIBIuURALeODo3XXt8PmhqkpDNls8lDeqT0LHf5AgaEmnjp9Jp6O/nw4GA/thAWPp8PpqamsyX2SUJ6uuRnNZERWZ1WdbkU9Ic3NfYSFNlpekFQNLS1NNPB4Gix8m3LzIjP6oJ4G3wGm7PPwMOj+EzxfJSDaOcYOiiYMTREpF/gUAwO0SkUyBYhGSK1h+PuzjTyg4luvY4nXqBu98vEQrpwUhVhaOpceJVI3qEs2M/1BgJS5W/5GdUkySMh4TmQBmUSBzTQFEgHObcQID7hifLkQ2EpdPppLu7G7/fTygUIhaLoaoqr4+NMVFbCx4PdHSgyX9r5dWS0SuOEV2knmrm4E67ne6WFvzRKCFFIZZKoWraVCvJlcNPcn36QWoYLnocR5m1mxp3VeHny7fOR9eersJCpCkkqKzX8zANKJaXaipmiwjVbEZHrEVwBQLBzBCiUyBYhGSK1oN4aSOErVhEymLXHqezsMA9kZJp3bWHSDJpIhv0iNmtPEoNw6TTcLQfvtYJ48PgBtrIa2FpIoCdTieb8iZwwc6d7M4SCAq1JV8H6PZJkirh6dWjaKeiObjTbjctltm58+OMjBQXnAAXLa3i5YFx88giugBsayj8fDkrnHTf3I1/m59Qb4jYSAwVlQNj44zKNXqEc2UH2GsMj+sukpdqtHQPwLgCBq4GBcOOHiWRSOAs4V8rEAhmhhCdAsEiJFO07sfHNXTRRMRQeKaRsR1H1x6jiFlaTZNOHaVWi3GhtJdP2H9GrXwW9l4Fx6/7uWIrfNRMz8ywbWV+QUwYDx7C2NAYopqtdBDGwyAO1EyveE3BJoVZofyGjm16FO1UMwfPN3TPN87/gMU0hVtWn0e3EjeNVsrINLmaCiywMjgrnAWWVXft28f9vb1FF+5loM1hPkdvg5fQwVDhnP4UhrUesBXJ/U2nSb/0Eq2trXR3dwvhKRDMIUJ0CgSLkEzRuoKTVrrZiB8vIdzEkCclRgw3r7ra+GR36Y5ExSgWMdP5qv6fVQn4QiskI2AkKWbRtjK/ICbAei5Xg9QywGfkR+inDi3fgEcCat5GXct1YJdhzNxgfDFiaOieIaYb5/+k1sFDb5eosRfvh1nvvpzum30F0UoZGXeVm7aGthl3fvI1NtIVi5lGz2WgqbISX2Oj+THMlu7/LQCNa6Guzlh4TuYXEwjo1kl+f0F0XSAQzJ5T55dWIDiFyK7FUXByN8YXzvOXwSffqkDOdGIoOYmhskyOa/gMBHCBQBmqQduwmX+7cx/9q+rQzOxxZJlDKyDQAZ2PGhuML1YMDd2zUFE5MKjwRJ+Tm1cqGN4gIFNZ2URjow+7vTBaeTyUyjdts9A1yGzpfu/RvWidndDRoecBOxx6cZE2nV9MIADDw7p1Ugn/WoFAMDOE6BQIFiFWzdwtm77PFUaJocdzuDyBcsVjI6x4rYbwxCVopVrF2+BlD7xRL3H7+44yvjOOy25f9K0QMx6WjlHwTXpiujKemJLejjLYoPLL65toaHgXihIilYqhaSqSJGO3u3E42qYE54mgdPTcwjEMlu5d/+Di2PAx2LLF0jFioopdIJhTFuevqkBwimPVzL1E0fqCIFug9ER7UFSFQYuBy74GuOkRjWHbKEzWIy32VojxkTiOUeh+1Lz7T9tBuHbfizSu/w00L8ycxvy81VRaJSEPzegYVtuvCgQCayy+X1SB4BQmlUgR9Ue5M6rwaVKAhoaEgp0wDgI0Mjz5tZ9hzc6CIBXXrY+stoAfOK1w22Jvhaii4nvGXHCCvv2soxN6KsQCzGk0zVutwriq3QSr7VcFAoE1hOgUCBYJqUSKXa27SEaSuFTID3Z6UFhLjE5aSMr2mdbsLAgy1keWW8An++Cle6GsdtKiZz3YaxZ1K0QZGW+vueDMYNMgtWP7grxImOatNgAHrR/HvRiWAgSCecRC/D0RCAQGRP1RkpGkcd0Hk9Er3uRX1Z9muXM3ZxPH9o7JQh6XS+91OcNCnvlAIpXi6y+9RvW3j7KccWrOhKrSFpM643FIHoAkoIQhFoQ1m8FeQyy1OA3jXVUuXElrY6P7nqXv2cuod7/zhOZwzjW/P7jDuFDqCmAPYNIlMxtZlmlbbEsBAsFJRohOgWCRoAQVU8EJYGOIFm6lcvgQ0rDBwFAIurr0CvMFIjwTqRTrnnmOz98wyop+PToHcNFLsGeVXixkipbWheb0Bj3yuT8ATZ1F2ywuZLwNXmRth6WxaRUe+dNOOpueIxbroqWle0EIz33KG8ZPVAC3AL8BngdM7itkWaapqQnfYlsKEAhOMiJhRSBYJGTyGc1YyVYq6Tfvl62qpPdGePpKP4nECZjgCcAfjdL+L7mCE2B9AOr7QTJp946WhmS/LjBzn5gSosXaLC5kfOt82G1llsaqEoQVAJVkMkI06j+hc5srRtJFvgsVwF8CdwFra4F2YDVwPmVlq2lvb2fDhg3CGF4gOAGISKdAsEgo1crRSRiJ4mNsqNh3hWhtXRgBz6Ci8LFwruAEqBmGzZ26D2fYA4oDxsrGecN5CFKKLiz3ByBtsA4/oedyFmuzuJBxVjipPvdSOLKz5NhYJSgTmUcqirIwfCtVLNwwVAB/6YId26c2NTXB9u3muwgEguNjcf6qCgSnIKVaOdoZtHQcNzEikYVRuBxPpXCYvKyaYejMsmPsW/omf3PHjRaOqpZss7jQsbe/k/SzOwvEejZpINiQm7GRSi0M30q5zOLfTs69qxJ1QwLBiWVGy+tjY2Pcc8891NXVUVVVRVtbG7/+9a9L7vf9738fWZYN/x05cmTWkxcIBNPYXcXvIU2X1fOQl0ZQb2znidhdJEbn9zq7qmlIFq0UZYs/d2dyhHtsj3Fvg4Gf0mLB5+PgsjLMsg/SQMQF912Re5HQtIXhW1m19CIoGe2UoPyiqUeL0UJMIJhvzCjSeeONN/KTn/yEDRs2cN555/H4449z9dVX87vf/Y729vaS+/v9fs4555ycbSJnRiCYGxxeB0rIvJhIsyi6VPsEnL2DfjVE62NddN/cPaPe2W8lsiShWbx1lkq1KJrk9LJx3pv+d/b+sXvBFM7MGKeTW/7hUv7iRzvx9oI7qyNRrFKPcN53BSgVcHZW+qckLYwygObVt7DzjW16YZhhSokElfUg3wzognMxWogJBPMNy6Jz586d/PjHP2bTpk187nOfA6Cjo4MLL7yQu+++mz/84Q8lj/G+972PNWvWzH62AoHAlEZfI7GumKltUopaS8eJVU7+j6wSiUfwb/PPaW/tucSRTKIMHwJWlByroiKpEloRE08J8Dj00ZnCmebm+fnas0kkEvj9foLBIPF4HFVVkWUZl8uF1+vF5/MV3OC//fx38oWrnjPtwQ7Z74eO3b4w1p/f6a6ne81mtP0BPX93ItNDXoYyh+7J2tCBa1s9F7TrEc4F6BYmECw4LIvOJ598Ervdzi233DK1rby8nJtuuol7772Xvr4+6uvrix5D0zQGBwepqqrCZitlTSwQCGaC3WmnpbuFqD+KElJIxVJoqoYkS9jddtTRy9CefwWpSGu/TB5fBhWVUO/8LB5JJBLsueEGwrGr8fDX2ErYnS8bWkZ9vJ4+V5+h8JSA+kroWJnZsjAKZxKJBK2trUQiEcO2jaFQiK6uroJqbN86H117uoxN1Jl8P8rB9ys4636wD0KZLQzlF8x7X1dfYyNdsRiRpk5DSS0DTZWVdH+5Ead9upNXJKiQimd9b1x2HF4Hjb5G7E5RAiEQHC+Wv0XPP/88559/PjU1NTnbW1tbAXjhhRdKis53v/vdDA0NsWTJEq666iq+9a1v0bwI28wJBCcLu9NO8yaT71Ti29D6e9J7I9gMLsXZeXzZxEbmZ/GI3+8nsX8/AbayFi911BUVnkvSS3j4sc38+JoneNn73wxMDGdiXzjK9Ihex0qoyfpVXAiFM36/31Rwgt4/PBKJ4Pf72ZRVGeascNJ9c7fen/zgdvqO9ZBWJ6bejwsr4dvfhOX7QZrS6Mcm/4EWCiHNU19Xp91Od0sL/miUkKIQS6VQNQ1ZknDb7bQ5HPgaG3Ha7TmdvIwUqhJSiHXFaOluEcJTIDhOLH+DDh06xIoVhUtYmW39/f2m+1ZXV/OJT3yCd7/73TgcDp577jm+/e1vs3btWnp6emhoaDDdVyAQzBFOJ3R38/sr/dh3hXAv3YlsmzDM48um2PLrySQYDAIwzDCddNJBBx48LGUpTpwsYQkA46gM4CZBGa+MNXD2mT/g9rVvI5l8teQ5FkLhTDAYNBWcGVRVJRQqjNo6K5xTqROpVIJo1I+ihBgbO8LSr0Y4c7+aJThzkVQVLRJBmqc2B067nU3NzZBI6FYMwSDE46DmduE6MPbxop28UCEZSRL1R81v6AQCgSUsi85kMkl5eXnB9oqKiqnnzbjuuuu47rrrph5fc801XHXVVaxbt46vfvWrbN68eSZzFggEs8Xp5NLfbKK1Ffa+9wI4fXfJXaxWfb/VxOPTvQyHGWYLW0xGrgZemXrU/jx8uMPaa1oIhTPZ70MxYrHiUVu73TmVv3rXXXfxof/9Vsm/vKSqeier+UoiAa2tEInoYjOPdCiE2/5j+tTNpKkxOMAkKijbj8Fdd5mK1/maaiAQzCcsi87KykrGxsYKto+Ojk49PxPa29u57LLLLFkuCQSCuWMy4Ilnkwvz9Ylp3FXzs3ikVHQva2TOo1gM7HaXpT0XQuGM1ffB+vulR09vsjq4hJg9qfj9poITwKaq1I73sZIAr9FZ9FCpnn3Qfb/xsRZgC1mB4GRgWXSuWLHCcAn90KFDANTV1c345A0NDbz6auklrjvuuIOlS5fmbLv++uu5/vrrZ3xOgUCgXxevf6eX+4OhosvnMjJtDfPTvFCWrUYhc8dFInDttf9FOh2jtjaOxxNk/Xo/NTVKwX4Ox/x87dmUfh8cgI+DB/+cCy6wFqCLx+PW49szELMnkun0gCCpVBxNU/H86iC1JeYno+EgXPL42kQK0zV4VWXBdFQQCI6TJ554gieeeCJn28DAgKV9LYvOSy+9lKeffprBwUFqa6etV5599lkALrnkEquHmuK1117j9NNPLznugQceEFZLAsEcU6p6WUamydWEb938NC90uaxFKyE3WjkxAa+/fgZwBgDhcBvB4DVs3tw6JTzTaZlksgmXa/689sRoQi/66Q0SH4mjoiIj0zfRV2QvB9ANNJFM2tidl01hFqBT1Rlk8loW/yeOVCrBrl2tJJMRsoWhbO06SBnTNxxD2NjKSsI4GcSOioSMxlIu4C/4J3z4cZJ/g4IuPOdzqoFAMEcYBf16enpoaWkpua9l0XnttdeyadMmHn30Ue68805A71D0+OOP09bWNlW5fvjwYQYGBmhubsY+2bv4zTffLBCX//d//0dPTw+333671SkIBKcMZgLDVeXC2+DFt8533Ibt2dXLod4QsZHY1HncVW7aGtrm5DwnCq/Xy44dO0qMkoHi0UpNs9HX18Qjj3ybj350E4riJhxu44c/9LF8uXNerJgmRhO0PtZqfINwBhAx29MHNIFJVb9ZgE6WZaxlikLKUXPS+ylHo/4CwQlY7laV6dY1hI1baaGfSrS8jkYHqOZFNvAdxzWc9ZFWpAoFWQNXErwHwbcNnPM51UAgmAdY/q14xzvewXXXXccXv/hFjhw5QlNTEz/4wQ84cOAAjz/++NS4L3zhC2zdupVoNMrZZ58NwNq1a1mzZg0tLS04nU56enr43ve+x9lnn8299947969KIFjAFBUYMQgdDNG1Z246BWVXLy80fD4fP/3pT4lEzBSXjC64SkcrNc3Gz39+Ez//eW4m4/Dw/Fgx9W/zs6//TbRnvgm9Xki6QJN1VVV+ACr+BkaPGuzpxUxwZjAK0LlcLoLocr3Y3mng+/JLXDeaOKk3J4oSxGjp22q3qky3rq2sNBSc09gYVZrY+/JGuOruqa2hBuhaBd2/m2B+3qIJBPODGa2LbN26lTvuuINAIMDtt99OOp3mZz/7GZdffvnUGEmSkKTcL+zHPvYx9u7dy9e//nVuu+02fvnLX/LpT3+a7u5uS8vrAsGphH+b33TJG3QLo0ynoFMZp9PJrl27+OxnP0tdXR0VFVXAOcAq6xhuBwAAIABJREFUoB3YgL60PHsZMF9WTH//6otojz4LwQ1wsB2OXgCxVfp/+66C0T1Q/klqzl3K6tWrOf/881m9ejWVlcW9kzPkB+i8Xi9fBSJVlOzP/vl1Yyf9s5hKGcdlU9aacDGB3nYpjLOI4Mxg04V/Fqqsvxf+C49ZO6FAcIoiaZpm3hPuJJPJEdi1a5fI6RScMrR/r50dB0stG8NldZcRunkeKKJ5RMaSMRTShZSqwuuv63mcs2X1anjlldLjTiTuK79H/Lc3UCru6PrzHxD7zSentqxaBRZqNTn/fNizZ/pxIpGg9fTTeeOjE2yMULI/e/tZ7Wz/5PZZv77j5dlnVxn6rp77CJz1JKZeowAaEge5jtfo5AZaOUB16RMuewU+6ynY3H6slu0PGOR7CgSLHKt67WSn4ggEgjziI9ay6Xpe6SGRSBT01D4eSvhoz3srQqezcCn8ggsoKKCZCfOhOHvk9YsptUwONkaiF+dssVrjkz/O6XTSffbZnOuMcPdVpfc/2V2rzPxU96+HZUGo7DMWnioSo9Szn46px5YwWbePOcqs7S8QnKII0SkQzDOs1g1PTEywceNGHnrooTk5bwkf7QVrRWi5yN2EeVCcjTqytPQgQB3OHWf1tbsN7EidZWUsk7BUUHSyu1aZ+a6ma2DXZlgZAEcYVGUJb6pnoMoyMYeDpfs9HBvsmDKGl7G48GdSoaS6j/PDJhAscoToFAjmGZY7AGnw3X/9Lvfdd9+cRDtL+GijqrB3L5x7LixbdhIioLMMw3q9umCeWcQyAfiBIPv3x1m1SkWWZVwuF16vF5/PN6cR5lLIFn+qZXIjbVZeuyxDm1GBv8uFbFGDneyuVQ6HF0UJYVRMlK6B1zoBZCI1HTwuf2aqF/vdt4zR9OL0PrWkrJ2w0jiyK/f2YtkMVSA4BRGiUyCYZ7iqXGBltXJE7wjm9/vZNAfl1cGgNWEWj+v/MrwlEdDjCMP6fPpTxQR13smAVnQfIpVkMjcvMhQK0dXVRXd391smPKuWVDBqaVxuq+JSr12WoalJH1eA14vrWOncYjj5XasaG33EYl2Gtkk6MpWVTdxwybe4yT79N9v3F/vo/VPv1C4eEoRxlCgmSkND0PAZd2y0MJdjoS4RCAQnACE6BYJ5hrfBy479O4p7S6hAr/6/oTkqr7bYwrtwKm9FMxYrYViTSWTafuYXGGkaHDwIowVqzg/l+2CdBmcBlYAEaEAS1IMq+7bvmzOxb0S+T+vwx9IwYtOtkg56YZsPxgoFzHkNueLP7LXLsr6k3tZmHoRL3fZFWm/5F0INQ6hFPosnumtVKpEi6o+iBBVS8RSaqiHJEnaXHYfXQaOvEbvTSUtL92RHohCpVAxNU5EkGbvdjcPRRmOjD7s994U2+hqJdcVIRpKgwnr2E2QZfaa2SWlwReCK+wqekVVo6zXYRXQrEgimEKJTIJhn+Nb5ePAXDzJRM2EsPFX0RLtt+sPYHBlSH0/BzAm3FgoGSVWqRDtA8UDKAZqkF4fYFT1frzGgYjeZhFGBERhXux944/eMrtfgNIzf/wbQVmlsf+7EVGsb+rRWT/4DaAjBqi54rDtHeMqyxuVrC3/SzV57KaIPHuOqZ77Lf5/3KQ64CoWnYxT+4Wm4oreMS3/UBfzPnC8pj8ZjdG+6jcSZPWx19BE+MsbgsIqakpEPl1Mbqufif13Dg398EPfZbpqbZ/ZC7U47Ld0tRP1Rjm0/xuDew9w3/Av+c2I1e7TTOCbJJMvGWZqq5egZexhv3AZX+KEit0JdVqEprhvEGzJfvLcEgpOMEJ0CwTzDWeHk0ucuZWf5TmgAqpiOtI2gRzi3AWP6eHWOyqtlGRwk8OHHSxAXceTJHkVxXATx4seHYuJ7eSKbsaRG3mTXZkjWYVjErXggthZavn1kRj9qRoLM/bF9jJoJTia3u2Dv8r0zOJN1Svm0Iqt6tG2dH36lT15fJpeMl8lniRJUqBw9k4cee4LAugDhhjBKlYIqqThH4Wf/cYSzlHGGGOMe9hJEvxdSAXnHDlzf+Q7eT30K3yxzjlOpBN07Wkhctp9b/xb6+/Xo9DTjwG7CA3vYcfEOXoi+MKvz2J12mjc152y7Iev/w38X5tDDe0jGkwQu7Cb8xtlT74OsydSNHKa9d1zvSDRW5ESiW5FAIESnQDBfyF5S3XfFPjjG1JIuB8kRmtnIc1RefZYjwX/TShMRbAaCp40Q19BFK92GwvNEWgtF3/emqeAEfXuyTh/XbDLEKiPLRkq3zZBhxD1ynGcyJtgbLF0NLqtUnBei8WDpZfLZkorrRTU1YzV0/qoz57lzeYSzeBKF7OzXPEZHCT38MF2/+MWs8l+jUT/pyoNs/RcjwTmNhsaBgQMnLN1h91O7ceEyfB8A3kEHVRitq+cxH7y3BIKTjBCdAsE8oGBJ1QYsyxrQgN5o5zEKhKfbyO9mFtyb9psKTgAbKk1E2Iifuym8uJ9IayGlacyKTSXKucVCTdZQl1gTB2r5iRERVn1aGy+I8cp3TsgUANBU89J1J2EkNPyYCM5JVCASicxKECpKEGwq4bC54Jw+jzpnuc35pEcVuPXfwRMGx6Bul6TJoNRC2MNEABi2cKD54L0lEJxkhOgUCOYBpZdUARewDvhV1mZZps3Q72bmXG4LmgrODDZUvBhf3OdI+xqSqrXm3ZNyHP+5ZLsMtmpY2QEOD9gdIEm68kkpoIRhfwDZbtYg8vhIp60d90R7Y0qyeQW3nUEAjDue56KqsxOEqVQchqq5+kAHn8aDAwcSEhoaCgphwgQIMDyp+OYqtzl3DglO++cvwoo3wGbwGfSECa8to7UT7KWE54n8gggECwQhOgWCeYC1JVX0iGfmoSzT1NSEb44S+aREjAQO/PgI4iWOCxUZGRUXcbwE8eHHbeDnZOr1OEtSqcRkJXKQVCpOctm4pf20qorjPndF9TJG13wNKutAKgyvSjUXcobtw/jveZOd/7Mzr4r6+H5SU4kU49FxsOAFn/HGPFFdpOwu89cioZKimnfRwcdOgCBMpFIcicnU3LqZqwbrsBmEuT14WMtaOulkmOE5y23OJhr1YzMTnAA2jbG6caId0LylyIHm+gsiECxQhOgUCOYBVpdUy5aW0bS6CbfbTVtb25yZlCdSKaLDdq6jmwhNqAYX+RBtdHENP+L6nO1FvR5nQSqVYNeu1lzPRasrk6ctKz2mBBUXfcpUcAJoNokjZ5bx6/fXcd4WPa9TCSnEumK0dLccl/B8beNr1IzUWBKdznLnCe0i5fA6UEKKYShzgmpe4mv8OXMvCBOpFK27drHp8b+EfuPjA9iwUUcdHXSwhS1zltucjaIEkcwE5/REGPAsQWXCuKPRXH9BBIIFjBCdAsE8wOpS6TnnnsMrr7wy5+f3R6PEEreZCk4AFRsRmtgi/y3nN1vzepwN0ai/iMl3cdJvHP/6urz0IlPBmUGzQdiTtUGFZCRJ1B8tqISeCUd/chTPhR7CDWG0Yu2AVEi9njoe+9KS5HtYZtPHtSRNBCccnyD0R6NEkkls4VX6G10EGzY86H+IucptziaVsnYzOOQ4nVD1StZeIs3MDFUgOMUQolMgmAdYbSM45+0GJ9dmgxddhJJqNRWcGVRs7K5uYc+euZ1GNopiJVPQgLQEL18AHz6+81dXrYDR0gVJSr6+VfWI5/GQGkixftt6gquC9Ln6DIWnpEosiy/D/pKd4ETpoujZWkRme1gqIYVUbNqYfTByEUycGEEYVBRUID1orY+5A8ec5jZnSCTgyBGVmprSYyekNP/vE+9k7UPfmNM5CASLDSE6BYJ5gNXWl3PabjBrbTb+ve8Rs59habdY2fI5nEICv99PMBgkHo+jqipf/nKU5TM9RVqC/npsT30CjnMVU5KsCXvVoM7m1d5B/q6nB6/Dga+xEafd+k9sYjRB3B5n6eBSNj+2ucAbU9ZkHCMOPL0e3rXtXTx4zoOWjz3bGhsjD0uAneenYW9pYT4bQRhP6VZNiurEStxaZm5zm2H6q7Fxo2xJdMbKjvHF+744Z+cXCBYrQnQKBCeLrAoQ71m7Ca3irW03mLU2q0oSRx1OJouSi6K6jj9vEnTB2draSiQSycn5G7dWM6RH2vrr9ZBj2AOBDqivLr2f2XwmfVIP8A5YUlqAG61+j6c1digKIUWhKxaju6XFkvDMWGb5ynwsZampJ2SGAxyYUZ5kJP467d/7G7wNXnzrfDgrjm+pV7MozGcjCNVJf6S0xSX5pa6lug8owF13zUlFVearkUhYi7Y2NV8yJ7nVAsFiR4hOgeBkMBlKSezbh1/T+H052G4G1YVh0YyMTJOrCd+6OSxGCAan1mZlTUOzmVvk5MzFXsow0xp+v79AcEJpT8Yp+uvhxh/kbCpm81OMHJ/USx6wJDodBivp2uTfTgUiyST+aJRNzaVzPKcss2SVIWxsZSVhnAxiR0VCRqOWFB4SrGc/GtqM8iQn1FF2HNxB6GCIrj1ddN/cfVzC0+r7PCUIZyDIZEk/tlJrbXz9BfW64JzDiqrMVyMc9uLxhLDZigl8mdNOu9zaZAWCUxwhOgWCk4HfT2LfPlo1TTfXHkM3fl9HTuvLMllmzYWtXL7y8jmJUGWTGnmT6K16C8kvn3k3f1/rYR+tJfebq3qNYDBoGK1TrKZFFiRVgt1tLaqY6fwUH4mjonJ0+Cjx0cmikYHndX/OIsVEUlr3Ci82JRUIWXwxGcusN8pH+Xta6KcSjUJhF8ZBkGX8HWHcbrd1gV4Zm5yTSiQewb/Nz6b3GlcWJVIp/NEoQUUhnkqhahqyJOGy26fSBorZKWXjrnATuTpCKj6dD1rKYso1GRkOe/T3uGjxuAyONgdzXVEVn/woBAI+1q7toq4uYig802mZmpomGhsLbwaNUkdkWcblcuH1eufMeUIgWEgI0SkQnAyCQfwZwZnZNkaO8TtAGpXL77ycTTeXuFDO0KwxlUqw6wtRkssAG5zBES71PEMkvAatWMWwrNHWNrtoYj7xuHFlcDgMHg/YigVU01Je+TjTAqQIBZ2fjIh+H067DGqbjX0601DfDx2B0lOKTeYnliJjmfVD9Vz6qTAUnAAaEn1U8CPO5T2TeZKhUKliojQ0BKceqaiEeo0rizJ2RZFk0vDdyaQN/PSy00ztlLIZ7x9nvL8wX6KYxZTX4SCkKATWw9og1PUZC09VhuqmShp9jXB1cE4rqjKHGh520tnZTUeHH48nhMMRQ5JUNE1GUdwcOtTGV77iw2535tzMvBl7k+g/RZk4OoGRi1IoFKKrq2tW7UEFgoWMEJ0CwckgHs/r5uJAr4DxorcektHlQZwnnthfPB1tFmaN0aif5LKJnNaS69f7CQavoa+vyVh4yhpN586d3aBZTmIgAGvXQl2difCcLBoi0DG9iTRJRxLXbcVz8Ep2fgJAgxc+C+d8aqojkYSN5cfOxHXMxtvCMh0BqMnqQGMwJf01WgxFZubzJ7kGrYRDgYbM3nI3z0z+Ibq6igX50uCKwBX35WyNjRhXFmXsioq2tUwm2dpxGh/sqmA0Mlp0rqYUsZjyNTbSFYsRIUnnZl3ce8J6OoOkAjKMLZVpv3I55//jubpoNbmBKcBiRVV25sLwsJMtW4xv+lavhq99zeBm5hfAm+bHV1V11u1BBYKFjBCdAsHJQFWZvkw6gG6gCaMG4/39baxZl+LqJ6L0jBYuea557iXo76RHfYdxFyHVjzNvaVHva517npoahc2bWwkENhIOe1EUN2PpcpS0i9Pqyrjykue4af1X2bPnIJqmIkkydrsLh8NLY6Me7ZkJZjmJw8PQ2QkdHXrE07FUoryhnpVLKjn8xySpl84jGbgOhuNoxKY64Pww8UOWv2d50eiRpc5PAFoKXptuMaMBymg1N+68jWvHruXVZYPET9P0FtxZdUzDeZXOmfzEku/FpNBUxyy4wgP1Z1+M06n/Abu79T9tKAQ790WYSKV0dVYZY8mKIBu1+/jzHyq4knrxkyrBSG2Up5/+M772LhsHUVAnPzV96hLU6lWwcj3Yjcu2VaBbGeSDVpf2zTCxmHLa7XS3tOCPRgkpCk/fmeK3k593t91Om5EzgNWiKoNxRsvgBw8+AawpebhMqknBzUyvlamcuH7xAsF8RYhOgeAtIL+t40Vjr2dJHx9mghOAao3XPr+Lhw8nDYuMdjSthM2roPPPYDj3K53pItSttuLMusCZmV7X1Ch0dt499bjqALS88Fme++gvSCYjaJrKyEjuPooSIhbroqWle0bC0+Uyj0oOD8OWKc2nUXaWxKf/6ioeeeQRVLUX+F3hThoMR4aLRo+sdn4ynFPFMP/1of/ia5/9Gn/X08MOC/mabouWSVOWWZq14iApa9nf6ZxOU7zg4fezO7YbAMcodD8KTXGDT9bRUdKv7+Lh30HrLaBkdw899hLEgrBms6nwbHs0yWjUWupAMVIx42M47XZLBVhT36u7D5KygyaBpIFdAUcYGgN5PdHzbnTMHBTgt8DFmH4nye1s+fu+HtRzb5mKjNMsQUrTE5TDYT18Pzw5kXL03O2zoNvZzaqHVyEj46pyzZm7gEAwXxGiUyA4wRi1dRyvydaPXopd3OiIwgpjwQmTu9aN6uO25F6oM12E/GxkU+x7U9s1zVpkSFtSxv4OSCaKdQhSSSYjRKN+mputLxV6vV52lE5IBGCir4+nnnqqpE1QqeiR1c5PZmR8UjN5h8VrmqHNYa1DkrfBS+hgCFWyNj+zwvVsv1ffMyaCcxIb+vMbn4G7r8p+RoNkH+wPQJOxbdM5L6mW/PsjFTK/8EZY3/g0Nf9xXUEoWFNnHy7N+V41GRSkeSC2Flo6p4VnyuXiC/v2TRVJvXHkCMc2btRTVHLEoR+4BmiCak3/bnkUcKR0VYvEknE7Y2sdHBht4Pm6T8OSZdM5wNWZ/wzR8bZteD5Yh+PIPpJpjS/1wZGUHj0fZ5xXY6/qg2PMmbuAQDBfEaJTIDjBGLV1THjA9XLmUQkvQI9SVJMC+vMe48ibio0QXlC/O7XNqgG6tLKRAa2H0gpDRVFmtlTo8/n4zn/+J6MHDhQdV0UV69X1XHT4IqqpRkJCQ5taVg8QYJjpcFYsL28vuxo7aqHTkBnZPqlTeYcm+Y8y0FRZia+x0dKxfet8dO3pYm+ltUisokB7e2HN2NgVXuTyECoq3l5rHxuv4VKwBopBef4kNYo1sWgfreDJp9cTrGtn87c+SM2d/1+O8JytxRVYaJdqg2QdRDugeQtossz3Gxu5v7cXlUlBWLMVT00YB4NIF6poH3ag7E0SfkkhEPgzhvkSbF4DdRS8maPAI0cU/i1+mIlswTlJNUNs5lbq5H5s5RqcBY9EpgWnEVbcBQSChYwQnQLBCSCRSPD1r2+kuvonLF9+mKoqbcreprIS4h+Fv30/3IOTQe2viCunEw57CQR8DA/nRTgcFpcxi4w7RDM9B+8mdcFONFVjbPzLUP2GXqGxPq8qJos/jlZx5wPfZexlFwyWsbT8KOs/+A1Wr+rG5XoDp/Mo8qRL+pEjL/O5z/0dzz7bk2sR43DgTae5TavlwWgHwZGLiatLUWU7y5b8kj7Zj6b+AThAvoCooootbKGOOmxqoYTy4GEta+mkc0p4ZkdDC6qxbRbayxiQ75Oan3cYy8qzNc07LIKzwkn3zd1c+czz7OpNl+w53t+v/ysg+E1Y+hmwjfHZgThXEsSHHyfmqQDuZN6GUQc844P+dyGnV+EaGKRqfBQXcS5dsotblz7E6BEfKmfm7GbkL5pGQtNs9PY1868/v5XbOwKwZTp6asXiCozzLu+++yBNBhHOHGx6xBNZ5ujZZ/P566+fEpybuZU6+rFlJKAElAEeeNtquPzyQT797J8YrrvY1EpBBQYmJgxdDjrYmnt8IKyYC87pY5q7CwgECx0hOgWCOSaRSLBu3Ro+//nXWLGiiPWPGyCBgwT17MXjCbF2bRednd25wlOyuARZZNw4tSjJJtidScg8Q/8X9kBwLWzuLBCeaU2m5//exeB/rgZNoro6wabN7zf0LBwagltvHeDQoYeNC+iBB1lJig+iZUd2RwH+DUgDEaAVsgTSetbrgtMkZmfDRh11dNDBFvQk0OwCpYJqbIdnMoJX/D11VbhYVr0MGRl3lZu2hraCXDureYdWcVY4+c2/vovWF4tbThZFs8GxcwF4AXgxk9NLq6nwzOmsNOqAR7shrucYq8BRdJf2A5zLi+OXsn3o3WzhuZxsjyFs3FrEXxRk/u/nN3OT/wlqpjeVtLgC87xLqx1GU2dWwobP8PEPfICByTs/I0GYM1tZd09Yvy7K5qLeXYBJsZiHcMHxByeszdnMXUAgWOgI0SkQzCGJVIorn3ySIxvv4N5lDjQp001GwUOY9QSowTiqaLOp1NVF6Ojw51q0aBaXIIuMM11M12zQV6eXXndOV2unkehPnE1gy5emjtvR4Tc1yd66VY+8mTkEqYDKQeBrgNGyoQ29mGojMF3I5MFjKjin97ThYdog053lXh/Mz7tcuV4vkkn2YSQ8MxHNk5VT53TmVqPHYtPL5243vP66SYTThJyc3qz3NWdM9sfmGd+U4Cx2vMcZ4qYsEbuVlUUEp874eAWB391IJ4AMlRmPzRKYda6yaAyAtvIs+MgmDu7cSaYKzkgQ5iNJcOFSC2XoJjgMespavY843txjgWC+IkSnQDBHZJZy9zY2GoY3w3gIspbNdBYVnh5P3tKaYvFrWmScgyIhFs2GvLuF8srz2T82zhtqDWE8BO77J4aHpi18PJ6gaTvAcNhK+0oVPeZphg29qCp73tYKcTLjZFmmrW26P30835zdXqNXZe8P6BHPCQVQWSLbaHU1GEY032qyq9HzueCCmYlOyMrpNSFWmfWgt0RR2+TxXsEBHJsaG8ZZVHDqSIRfW4Oj3YajzbwjUT5mnausdmPK5C9ne6YaCUIjnPKQtZMYnddAOFptXCpbHikQLCyE6BQI5ojMUq7ZerqGjT7qCNBBJ1sMxwA4HHlLa+Ha0sVEaSBsLNAkNDxFcvoAKsbfzjsu28ONO3eyO+OJ9GZuv0uHw7zIZdDaNZyp0mpTcs8plRQy0+NkWaapqQlflnu9oTm7vaagKruxspLtl11m6Vwnk1ktuQMxjHuXpoFgQ9aGZImitkmGSFNJP8nJCptBi5eSwTEXa7Y3WRqbwaxzldV2qXa7/tqzPVONBKERktXUFgOMTP5ry4D8HFoDMi4JAsFiQ9xOCQRzRMFSrgEaNsJ4io5ZIqVoYISzGeY83oDA/0B/H6TTxjukgf5KCDQWPCWjUU+SDvYXn9ekdU2OSFNzBZ9UxM7HuhgqNTD3J0krWXahU1FZwYYNGwqM4S2bs1tdqz3JmFkllUI1+KlPAxEX3HdF1kaLPqEa0EInDTxJVJIZt3gp0bQyS+OyMbPJCofNvxLTyDgceuTblZUEWqrrUwbJorWY0edamcyFzcbjoORtVLZLgkCw2BCRToFgjihYyjVBKbFkvEIbJ8BOAPaznxuH74TO6qwWPQ494UzTzaeXHorxN+pGnr/EXpAD2PjKYT4W30cNxa/OGeuaHPEl5wo+rYggsS6GSg3MvXgrJSK0GZrXNPORTR8p2O6yWG1i1cT9ZFPET78ocmU5rFw99eFIneZke12Kr7/LTh0Jlk92JNpfVm4lEIeMip1hmtnCltNaORx/p6V52O3lM5+7yYerZLtUZCorm2hs1CPf2d6qRoLQiJQqg5YuUg0IEmmqGWaYarSs5YgwnoLc0fUrIRiDvqRxKVu+S4JAsNhYGL+0AsECwHqf7RKxDmValE6JrtwWPTm8rb2dh7Z/yfC5nvZDKDtKhoOmrGtyRFptrohWFHPFU2vtGk7+8nkhucvv4clLd9FioiJV0HNt4n6y8Xr1AqOZLrO71zTC9lemHtuBd03+y6b9Cdhx2MLxsv5OvvN+zHf+eCOjo6WjxcuXz3zZ2KxzVX671DPPrGTlyrMm27O6cTjactqzZnurGglCI+wDRyHZj9RQh2ZgiySRpp5+NnEnT/HXdA9fxuFhD2et1AhxK1eOPYtL7UWe/ATW2HXbz8B+3T5pMF3GkvKV2DQJ95vDtPWC7yfgfPgd0+arXi/4fHqyr0CwwBGiUyCYI6z32S5yoUtLuo0RegXrK7xiPpbCwpl8HF6H3t+6hOrKiLYckeZJ6Hmik9Xr4bAXjydkWEzk8VgpJpKBYsuGaSCYsyVAgCsrrmTZ+DLj11CiCnquTdxPNj4fdHXNzFIpu11jKayIWpk0bZm/kyzjvPwiPtUq8/DDeqce83loeL0zv+R4vV5CoZDhMnvmXkyWZTZs+Awf+Yi5oXqOt+obH+CKiW2czhFT4alpEHw2Bf/RScuXP0ny7PMYlB2o6I4UjklHio5JR4pb0o/i/t9qqqpuJBN0T6VenGx/GyKViqFpKlWSzD2XZoniYaC1FSKHjd/4UEj/o3d3C+EpWPBImma1BvCtp6enh5aWFnbt2sWaNWtO9nQEgqK0W+zHfSEv8RC3FT6RlqC/Hjo3Q7KG8nPKuVW7lT9F/2R4wc0UzuTnMWaTSqTY1bqLZCRZVLS1dLdgd9pzzdSHbNDZAn2VUz6dmze3mvp0dnbqldVG100ZsLGSFD25Pp3TLx4jn05Zlvn8Zz7Pp8o/hRJSSMVSaKqGJEvY3XZLVdCZjkRzYeI+H0gkpi2VjhyBaBQmTMwJZBmamqzrlURiUv+YiFqZNE1EdN9PeWjq4Amcxfeb4Txy52TWHz1z7NLfg3xSqQTPPbeG0dHXDJ9XNehPwmd6JJY7mwl94tfseek9jIwYW4al0zL9/U1s2tTNtm1Ow9eYSqSI+qMoQYVUfPpzvDLxEGcc+lHx4iZZhg0bzG0NBIKTjFW9JkSnQDBH3LVv31SLPTMkLc37R5/kE6OPMTFk6fH5AAAgAElEQVRmo0atpVyrwD7iRn79Qpb8/CbKqpdOialhhvH7/YRCIWKx2FSXH7fbTVtbGz6fr+SFdupiZ1G0ZYu0IwMab/7rCsb+VAtKGa6qQdb/1Tc5//wQbneMZctUbDZ9OVOSLiUQgJ07n8+dq9NJWyrFbTh48PW/ITRyMTF1KWnZzuD4GG+qR0gTBO4jX3DOVEycimSL0Pyc3ra2ma/M5hzvSBr1aAx5dAQ3MdrKX8B3+hacZ5QXHHyu55E7p8Rxfw/ySaUSRKN+jg1s57Cyl9HUCGlVZSgt8/pIFaGh87i0/vIpC61UKsGrr/rZvVuPWqqqiqbJDA+7OXSojeFhH1/8orngNLv5u5TP4uTlwp3yaW+H7dtn9BoFgrcKIToFgreYgpaLechpqD8q8f1vVLC0qgyH17pX4WLlRIgJgWC+se+uffTe32u42tDKDVRzoPRBVq+GV4qn2wgEJwureu3UvdoJBHNMfj/uo2MTJPePwriGI6G3Oe8IaMjDSRSSKCGFWFdsamn7VMTpdLJJLBkKFjlK0Dyv2qpn6KxNWgWCecSpeaUTCE4Q2f24i0U3AFAhGUkS9Udp3jR3PbwFAsH8IhU3t1Oz6hk6a5NWgWAeIT7FAsEJolh0YwoVvbpcIBAsWjLNF4xIWfQMxS26FAkWPiLSKRCcIIpFN3LGxayNEwgEC5NM8wUjDnIeX+FlQkAc/T5VBlyAF/ABzpn4XgkE85gZRTrHxsa45557qKuro6qqira2Nn7961/P+KQ333wzsizzgQ98YMb7CgQLhWLRjdmMEwgECxO7yzi+M8QQ7+NZHgB2ALuBVyf/uwO4H91ELNHYqJf/CwQLnBmJzhtvvJH777+fjo4OHnzwQWw2G1dffTV/+MMfLB/jueee4wc/+AEVFRVIC6TfsUAwG4pFN2YzTiAQLEwcXofh1XYrW+njcLG0byKA/+qrhTG8YFFgWXTu3LmTH//4x3zjG9/gm9/8Jp/61Kf47W9/y8qVK7n77rstHUPTNG677TZuuOEGzjzzzFlPWiBYCJhFN/IZKw+zb99dpFKJEzwjgUBwMmj0NVLZVFlwxQ0TRivRilMFQs8/f+ImJxC8hVgWnU8++SR2u51bbrllalt5eTk33XQTwWCQvr6+kscIBAKEw2Huu+8+5rE9qEAwJ5hFN3KQ0qRXPUtv7/3s2tUqhKdAsMjINGewn2bHvtSOVCEhLZGQK2QG5UFLx4jFYqUHCQQLAMui8/nnn+f888+npqYmZ3traysAL7zwQtH9BwcHueeee7j33ntFlFNwSmAW3ZhCSkN9P3QEAJVkMkI06n8rpygQCE4gmU5Evff3MrhzUG9/OaqhjWuoo6phW08jrI4TCOY7lqvXDx06xIoVKwq2Z7b19/cX3f8rX/kK1dXVbNiwYYZTFAgWJnannZbuFqL+KId+vZ30MQlUCWQNHErGLR5qhif3UFGU0Emds0AgmDui/qhh68sMssW4jyw8OgWLBMuiM5lMUl5eXrC9oqJi6nkzXn31VR588EH+/d//nbKysllMUyBYmNiddpo3NRPf+QFGRnaXHJ9KiWU0gWCxUMqrt9aiR6dbeHQKFgmWRWdlZSVjY2MF20dHR6eeN+P222+nvb2dD33oQ7OYItxxxx0sXbo0Z9v111/P9ddfP6vjCQRvNZpmbXnM6jiBQDD/KeXV68FTsphIlmXahEenYB7xxBNP8MQTT+RsGxgYsLSvZdG5YsUKwyX0Q4cOAVBXV2e4329/+1t+8Ytf8NRTTxGNRqe2p1IpRkZG2L9/Py6Xi9pa8zu+Bx54oGgDeYFgviNJ1pbHrI4TCATzn1IevOtZT5AgffQZCk9ZlmlqasInPDoF8wijoF9PTw8tLS0l97UsOi+99FKefvppBgcHcwTis88+C8All1xiuN+BAwcA+PCHP1zwXH9/P+eccw4PPPAAt912m9WpCAQLDrvdZXGcWEYTCBYLpTx4a6hhM5sJECBMmKHKIZactQRZlnG73bS1teHz+XAKj07BIsGy6Lz22mvZtGkTjz76KHfeeSegdyh6/PHHaWtro76+HoDDhw8zMDBAc3MzdrudK6+8kp/+9Kc5x9I0jVtuuYXGxkb+/u//ngsvvHAOX5JAMP9wOLyTRULFls9lHA6xjCYQLBasePXWUEMnnQBUraxizf/P3rvHR3Hf997vmR0hhKRZWHEVt7VFfNnGJkYW0YJr+pzmcuI2PqlzddOlrckFJadpnBDH6WGTpstpEh9aHMc1DomLLbWPmzROcxQneWInrY0dds1aODbx2kZavAJJxsAu2tFlJTQ78/wxu9JKextxs0C/9+vFC9j97cwsaGY+8718vqF1xAIxtKCG/jOdV3/6KpIsobgUVK+K2+9GcYoJ1oJLE9s/uevXr+fDH/4wX/nKVzhx4gQNDQ088sgjHD16lL17946vu/vuu2ltbSUWi7Fq1SpWrlzJypUr87b313/91yxZsoRbb731/HwTgWAG43b7icfbSaWiFBaeMlVVDbjdIo0mEFzKJHWdQCxGUNP4A/cw/y0EDpul2saYQUdTx6SOdweDrKYVJxGU/QOM3QcOdxXSojrweq3xmCISKrhEmNbjUmtrK36/n7a2Nk6fPs3atWt5/PHHuemmm8bXSJJka7ylGIEpmE0oipPGxjCxWABNC9Hff4KHHjrJ7343iqaBJM1lzhyoq7sFr9crUmoCwSVIUtdp6uggmkphAC/eDquCg/x6TSuRlREGqgYwJAPZlKlN1eI55mHzvs3UjFr+1/ppHb1fnyQ4G9lKFX1I2ZrPMaAz8ysUgvZ2CIeF8BRcEkjmDB4NlC1M7ejoEI1EghlFMgmBAASDkEiAYYAsg8tVPviQTCZpamoiGo0WNn2WZSqWL2fV3r1U1NbiUhS8qorf7capiLSaQDBT2dbVxa6enolchj6I9PxWSPVhyvm3WsmQWJ5Yzu7v7aZmtAZHrYP0QHr8/St5gJX8aEJwFkKW4c47YefO8/tlBIJpYFeviTuYQDBNkkloaoJo1BKbUykXfAgEAsUFJ4BhMNbTQ3TPHmixar1CmkZ7PE64sVEIT4FghhLUtMnFM92tmKN91kCIApiySa+rl7ab22j5dQtSxeQMoJNIacEJ1kUoJIZKCC4NhD+LQDBNAoHighOs16NRa10hgsFg+bF2pgmRyMQ2gWgqRSDHdkwgEMwsEvoUX04tAmVEoymbRFZGqGqoyms8UrA3mx0xm11wiSBEp0AwTYLB4oIzS6ngQyKRsLcjTZu8TayIp0AgmJkYU6vVxuyJxuHlwzSGG5GVybdkqaTbRe6OxVAJwaWBEJ0CwTSxqxmLBR/KRjknFuZvc2okRSAQzBjkvAZZe+e6slhBcSp5kU7T7i1azGYXXCKI4jCBYJqcg2YErCkjRamuBp8PPB4oMG95TEQ0BIKZRU5X4S/6+hjVdQxZJlFby5/cmuRkZflNyBlxqXpVtNDEvHbd5mz2QtcKgWAmIkSnQDBN7AYViq1zuYpMJ6quht27ob4eHI7899Npoq+/ztw77qCuqorbNm1ix9e+JqyVBIK3iildhe4pb695J5xcVX4zdfMs0ej2u4m3x8d9OpN4UMs1E8kyiNnsgksEEZMXCDLoSZ2ubV0c3HiQA9ce4Lmrn+PAtQc4uPEgXdu60JNWaruYZpxKseCD1+stHO30+YoLTrBeX7yY0U2b6Dt4kPu//W0ab7yRZDJp74AEAsH5pUxX4YZjIJdJTsjINK+wRKPiVGgMN7LizhWoG1VOvm0rIxUriqfZZRkaGiyPNoHgEkBEOgUCLME5dRJILlpII94epzHciNerEAqVTrOXCj74/X7a29vzbZM8nuKCM4vDYa0DMAyiR44QCATYKTz6BIKLT6arMFldTcDnI+jxkFBVDElCNk3U/jdRT/09SZKYBXSjjEyDqwH/zROiUXEqrNm5ZmJR8pAlbkMhq1A8awpcV2ddZMREIsElhBCdAgEQC8SKCk4ADEhFU8QCMfz+NbS3Fw9wlAs+OJ1OwuEwgUCAUChEPB5HT6fpsluXpao5x2UQEh59AsEFRU/qE/PQEzqmYVrz0LvvQKpu5CO738mR+qUYUx8aV69GGn0E5+Hvc/W8BMlUAgMDGZm6eXU0r2jGf7Mf59wSotHpFMbvgssGIToFs55kMslLj76EyyiTNzesiOcap2X8fi7BB6fTmRedfFsoRNfISPkDntIhGxcefQLBBaN0FqSBB7ZewZF6CcMhwaADWldDxAkDChgSpmzSX7sJ/Z0moX9cIIKSglmNEJ2CWU12JOX2vu24KF+sqcetus4LEXxQ7HYoTfECtG3BJBAIpk25LEjEI2M4sATn1kboqwJzqnUSdLxi0vTMhRmTrutJYrEAmhZE1xOkDZ1TwwkSo2McHqzg8ZMLOGNU4JrnwrvCWz66KhBcIIToFMxqsiMp7WIaZUbSnQNqag48sHRSlATZhFodPEnY3A016TzT+JIWTAKB4JzQglpJu82BbLVL6+qighMAQxqfVHY+H1h1PUlHRxOpVJTcA62VobYKVsyFa6oTtByEV+MQOhai/bV2wp8MC+EpuOgI0SmY1WRHUpo5liSD1dDqg4jHuqGMaz8N1h4f4wFdP+/zz5NJOPznHjhaUfimFVEhuBDuPzBpPCZAnfDoEwguGHqi9EAGI3u6RpzFBWd27QUYkx6LBfIEZy4OCeqrwLcaHjwCBgbRRJTAvgA73yNqRQUXFyE6BbOakydPAqBhRQ8Hq2HrbuirB7NAI3nEM8a///ox3NFvsmjuvPOWqtr+9TT9x4oITrBe750L310E+9omXpdlmoVHn0BwwSiX3ZCzbw/Yu52e7xJsTQtSbvKRQwJPbv8hBqEe0YAouPiIvJxgVpMVnREipEnT6isuOAFMh8TYnIV01jaz/9h+dgV30fS9JpIjZ++VmdR1vv+r4ZyQSRFMGX6ZhKEh6++SRMXy5bTfcgsbDx5kW1cXSTEmUyA4r0hy6fOyNlvtUu78zZBOp8/qOJJJ2LYNNm6Ea6+Fq6+2fv/Lv/wODzzwfxgcVEt+Xp2iiePDogFRcPERkU7BrGZ0dBSANtrYwAYinuWYjjLPYpIDVMsr83ykqgKxGCPJZfYWy4vgihWwPgUrYWyBSefzf04nMvsrannItZYXP3gfq2pEyl0gOB9MnYc+FU/EKsUxZXv13mfOxND1hSiK/ezIlMFHU1jHoUNrCQZvZffuJmpqtEKbmGp6gWFzLrxAcD4RkU7BrMbMdIIPMUQLLfSqg/Y+qExEFQwMHn3m0bOeDBTUNNtREpYug0+acHUC5sVhtAdSPZA6CtrL9MceZe2eG88p8ioQCCZQvWrJO+XmNljeh9XwZ4Pa2jeIxQLTOoYyg48wTQe9vQ20tW0vuo0pphfj894FgouJiHQKZjVVVVWMZLwxhxgCqR8onaYC8sIGfaf7aGpqIhwO25qFntR1ArEYQU3j+YGBnMKwMuhJGOmDorOYTfoHjoomAYHgHEgmkwQCAYLBIMMnh7nbcTcLjYU4yK+7qUnBwzvncldTmoOvGGAUF3OSlMbjCaJp06unzAw+KolpOohEvON/H6SaVnxE8DCASmquBDeaoGugRXDqh6d1DALB+UCITsGsZuHChZw+fXrihanhgGJMXSdBNBq1NZIyqes0dXQQTaUmElw2oyRUvUlxwZlFNAkIBGdL1rs3d0ztFrbgw4cHD06czKmYw2r3aioXV6I2q7j9bv4Thet+HaOnZyVmgaJwSUqzfHkUn28Hul4/rWNKJOyt0zSrrGaQaraymz7qMbNC2QFUZxaqHl4zUyQvgBOHQFAK8dMmmNUsWrSIzs7OiRe0wvVQeehT1pmWSbudkZSBWGyy4ATLhzOilrZckUxYEbZ1eKJJQCA4O7LevblDF4YY4kEeHP+7nJa589Y7Jz1gOoG9ez/Inj0fIxLxoml1GIaMLBuoahyPJ4jPt4OaGg3TXDqtYzIMqEbHRwwPGio6EiYmEhoKEVTacGNkoqyt+CYLzqlIDjSphkAsxs41awqvEQguAEJ0CmY1Xq+XUCg0cYOJRMDjgakzlHMx06BN9spk2PotfuJE2X0GNS2/hH9zt+XD2VvEXFoykZanMP/w22W3D6JJQCA4W7LevaUo9oBZWztMS8tdZfchSdOrp5xn6uymg3pSBWWkB40NxPmGvIh5867h1VRjwWhrLgYQsvuQLRCcJ4ToFMxq/H4/7e3tE5GNtjbYsAHq6wsLTzMNqT7ozvHKNICezB9Pncr/TDJpdQIEg5BIkPjqV2HZlG71mjTs7oC21VbEU6uYcKVXx8CjsWTLGxz/7RCkyn8v8yxtWQSC2cikGuu/+iv49KetEhpNsx5E29omrMoyxAsYbipK+VG61rrpuUvcNhgrKjjBypzXk+J23WD9+lcYO3AAhofH31cHB/G3tuKNRHANDCAbBoYsk5o/H979bvD7z/9sToGgAEJ0CmY1TqeTcDhMIBAgFAoRj8cZ27mT03/8x4y97W046lwMKkPoxpnxAny62yCduQEZQALYZ/1VzjQljVPA68QYGyt8MDVpaDmS97IMNFRV8d4FC7j/5VpbovPoazGSyaStpiaBYDaT1HXWhQ9wZGQEJBmWTkl9ezzWg2hLyyThWSgaqqreTJNQqUipjKpOb6DD70laUcGZxQH8XmbIhZFTc64ODhLeupWGvj4cU2vRjx6F3/0O2tsvzFB4gWAKQnQKZj1Op7Nk809yJInntjr6lqZhHiBh9fKksK70BvAJ6/VuaYSN/7xxYlJRAa8T2WazkpxO06Sq3LRgAX63G4BHnFcykHzZOoZiGDAaTdtqahIIZjvbo4c5MpKy/HcL4XBYmQ+fDx7MqeuU81PkbrefeLy9xFhKmaqqBtxu/7SOcVm1zqjNdQByjruGv7W1sODMYhgYnV28ec1nGfr43+L2u1GcQhoILgziJ0sgKINzrpPbg7Xs6u+fuI1UAp8CFjDJwy+Fyf5j+wkdC9H+Wjvh8AKcUyIiLpt1VEYkwsl772X0llu45eBBEokEtUNHGBjCEr8rgXfWwnNfhR4vpFyWXYthQDLBo7/rFlkzgaAMP+59FeQyaXGHw4p45lBXl58iVxQnjY1hYrEAmhZC1+OYpoEkyShKHarajNvtn5YxPIAs2XxQzaxz5XSkeyOR4oIz+zlMqo6/yGu7eoi3x2kMNwrhKbggiJ8qwaxF15OZm0MQXU/k3BxcqKp30s3Bv2gR7f39jMcvbiZPcOYyPqlo2Xymxhq9kQghjwejVLNSOg2RCEeOHOH+++/Pfz+BVUf6nAuMO4D8m2ZfXzNNTSJrJhCUIqHrMMfGQnXCv1eWZZqbC6fIFcXJmjXnkGGYUgOOYXB9bJQz1HCMt7ED+B2dDDCAgYGMTC21ePCw1dwKgFdVCWUaFl0DA7Z2W4EGBqSiKWKBGGt2iq52wflHiE7BrETXk3R0NBVNg2laiHi8ncbGMIrixLloEeHOTgJACDi4ElJlGlANDEJ1w3mv+9vaaN+wgWh9fWHhmU5DX5/VvFAO4xjw95AnbQEcRKPW/Utk2QWCwqRNm04PmZS1LMs0NDTg908vRW6LIvMuq4AzwG28TLHEfYQIzx17jpeSL+F3u2mPx4mmUsjlXOUzSNmtGqCFRFe74MIgRKdgVhKLBUrUXQEYpFJRYrGAFbXwenGGQuzMXMCvrYJXbewnXpm/fefQEOGWFgI+HyGPh7iqMiJJxMp0yxY7TksGF3nXgD2/GoSu4/jdbmEELRDkkBxJMpY+M+m1Yp3eico5dNfXE7ntNr60Y8eFadIrMe8yAEUFJ4CJSc9Iz3gtd7ixkUAsRqXNc97MSdvocZvDKgSCaSLuQILLktwxdolEAsMwkGUZl8uF1+vl/e9/htIdpgAGz3bu4f3/38+Yt2SMx+ocrDxl4DDtj0o3lMLhUOfQEDtzmhL6uIKn+BJr+TkL6aKCat5Jiq6ix6gCfsALlDaaHnh5Hv/wgUU8tPYEL963mFV14rQXzG6SI0m+9NMd7P32coh/BIadYEio9BM+8fs0nInhKHDubZRl+OUvYceOgmlwZBlcLvB6z86GqMS8yyB2rlgT/qFORbGM3+vrIRYru+uxnPG/pmFzMptAME3E3Udw2VFojF0uoVCIH/7QwQMPQE1N6W1JxgCvxq2Y5totsP1p8PaAXs6/JIM8dx7IZ0oOTjaQSLOWD/C/qaIPKTPmsnj2XgXCQAOUNVIBdBledtIfUVm7f4zYb0WNp2D2khxJ8o57byb2f/4dEpPPIT9fpYHCghOwzuNoFLZvt8RnkagkodDZ2RCVmHdpcxJmvn+o10t6//6SVwprstFEo5Qk23yqFgimyfTGIggElwCFxtjlYhgGvb1jtkomc5xH0ObCXe+F398CRxbYO5a6lW+DhgYrAlLoWJAYYTkSTBKcUOrk9GNbcOZiSvQfrSAQmN7HBILLicC+ALF2X57gBPASLC44sxgG/PjHxQVndk22oHo6lHw4tbuJKSv9fnrnzqXYuAgTiRTL6cY3/poisiGCC4T4yRJcdtgbY2eVTpbDpqVmQWRkmlffBGG/dfMJhSAeH0/DnYrC8Nj1dOPjeu6eJDihUD96Fi/TFpxZDAkb4+EFgsuWYE8Qeu6h0DnkshtPzKbTS2EYTPtkK/JwCvYjRHn+oU4nez7xCebffz8fYCnLqMjMbZcZQ0XDQzc+0tSM70htVvM3LBCcB4ToFFx2JEqkqHKxY5eplainr5ArSBvpgnPOZWQaXA34b/bDXGfB9vHOq4KMdlqWzwr5tiZerBah/K3bG7VnkYZ3PAI3fQtMGVIuXhnykhzx45wrcuyC2UdiOGF52hZAthtPtDtmtsCozJK4ip/bds/6Qv6hX9qxg6Zf/pK/6zrOP5n/RD31OAo9uMpQ1VCF2++2uTeBYHoI0Sm47CgX5ZxYV/r9tAmREsJ0lXMVH7jmA4R6QsSH4+OeeXXz6mhe0WxNJCoh7GRpIiIhFbjZ+YF2CnWs2o15mOCKwn+/E+ZOfJGEEaLpe+2EPxkWwlMw6zAwrAewgu+d54ozm9eicbxeKzpa4HPFH0InKOYfmjvu9+FnH6a5s5krhq+gxqjBITuYO28uS9+2lAU3LRATiQQXFPGTJbjsKDSerhAORwWQptBlPG1CXwrauot/vkKuYOd7zt4AM7dY3yxws3NitQtlvUHjgFFRQUxSOHMmb3k+cxPwqaZJghMAOWNcvy9wTscvEFyKyMggFZZuCbvxREWBsTEbO5umiPX7rQakAvWixR9Cs7sq7R9abtyvQHAxEKJTcNnhKpGiymX58nWsWHFT3ri6SLyX504N0NYNQyWyaHXz8tNY00FxTZx+OrUF1ziZYvu+fj0bzQb277exg0Wv5AvODAYGoR5R3CmYfbjmuaCqcAlOEC/NhEo3E8kyLFgAqVT5nRVIdZfE6bQ63gvUgDvr6gjfcIP1EPrCC8Tj8XEruLq6Opqbm/H7/RfGP1QgOE8I0Sm47PB6vYRCoZJpdlmW8XpvKjiu7odPbGPPkV0FazXHP49M84rCY/DsonpVa/KHAUk8qETymommHDQ0N1tptsIZuBzSsCJYcv/x4WnWmwkElwHeFV72rwjCsWamNhMF8HMr7TQQLSw8Zdlyo3jve+GBB0qfhJnzddo4C9eAQ4GHUIHgEkNYJgkuO/x+Pw0NDUXT7OXSUP6b/TS4Gqw0XKHP5zYJnQNuv5uqhiqQoZvNpFiOSRF/vOzNzu/H7y/pwgRS2qrl3LSj5P5LiWqB4HIimUyybds2Nm7cSPtfteM4/A2QozDFSEjDSRNhdvF5nqtYx9CqeZy5YgHm1W+DjRvhzjutSOSOHaVPwpzzVSAQTCAinYJLFl1PEosF0LQgup4YT48riouf/OS9tLbCs89OPw3lnOsk/MkwgX2Bs24SsoPiVGgMNxILxNBCGq+ceIRlJx+idvR3VKAhz5WoWDgHafFCK2KSmXDiJD8DNzzcDQyjqnG6FwQZ2LijaGo9y+tHZK699twGqAgEM52jbx5l7bq19L/Rz+REQhOwHVn2smRpHQ5ZRpYNVDVO2LOUa3xdhGuGgRGqqhbS2PgzFCXnBCmSBqeubtL5KhAIJpBM074T4ejoKF/96ldpa2ujv7+f66+/nh07dvCud72r5Of27dvHzp07+e1vf8vJkydRVZW3v/3tbNu2jfe9731FP3fw4EEaGxvp6Ohg3bp19r+V4LInMXiU/QfWUiX14ygYHJSpqmqgsTE8+UZxmfLss3XoulWn9j9fgJdt2EHRvRH2PgtMBGamO0BFIJjJJEeSuG9x0/9f/UXXbN0KH/oQOEpa38qsWHFnwXIcgUBgX69NK73+F3/xF+zatQufz8d9992Hw+Hglltu4Te/+U3Jz3V2dqIoCi0tLTzwwAPcddddJBIJ/uiP/oh//dd/nc4hCAQkR5Ls/EUpwQlgMDjcySNP/SHJkeTFPLy3BMMYHv+zR6VYkj7nA0DP68A2IHnWA1QEgplMYF+A/q7ighPA4yknOAEMNE003gkE54rt9PqBAwf4wQ9+wM6dO/nCF74AgM/n4+1vfzt33XVXSeG5ZcsWtmzZMum1z3zmM1x55ZXs2bOHj3/842d5+ILZSGBfAPecUoLTwiHB8FAHTd9ruuw9KU1zoj5z82oIxqE3ReG2JANrkPO+PmAXlhFLGMNwimlFgsuKYE8QyjSZqzaH7+i6aLwTCM4V26LzRz/6EYqi8KlPfWr8tcrKSrZs2cLf/M3f0Nvby/Lly23vuKqqioULF1JRUTG9IxbMeoI9Qa5bYm+tqjBLPCknkhY1CuxeZ3mMRjTQxiydKQOVBnT+J7APGAXrnSiWG+jOaQ9QEQhmMonhRJEnrwmkKQ+vjkFY3QrOCCgDlqWnKYPhjMF7tl2WtZp6Urdqy2bwM+8AACAASURBVIMaekLHNEwkWUJxKaheVRjGC84btn+KXnjhBa666ipqamomvd7U1ATAb3/727KiU9M0zpw5w6lTp2htbeXw4cPcc889Z3HYgtlMYjiRd6MohiRdpp6UyaSVCw8GIZGgaegMpgR6LSQ90L0ZWhryP9bdDX/x5NRXDSz7+ekPUBEIZjIGRtlak9yuBscgNG6Fqj6Q8sTqCLy8yzJvv4yKn/WkTkdTB6loqqDrvBbSiLfHaQw3CuEpOGds/wS98cYbLFu2LO/17Gt9fX1lt/GRj3yEJ554AoDq6mp++MMflmwkEggKYWBgt/0tuy7rSZnUdQKxGEFNI6HrGKaJLEm4FAWvquJ3u3EqM/zCmkxCU9OkqSXzct5WI7AwCB27IT35GbHEvHnr32e6A1QEgpmMjAxVpdfknhOrW4sJzgy5xc+XyXSfWCBWVHACYEAqmiIWiLFm55qLemyCyw/bt5hUKkVlZWXe63Pnzh1/vxzf+ta3ePLJJ3nooYfweDx87GMf48kn88IuAkFJZGQ03d7a7DoDg6Su09TRwa6eHvZrGq8OD3M4leLV4WH2axq7enpo6uggqdvc+FtFIFBwTF4WyYSqXljdNvn1dBoikWIbtbY13QEqAsFMxjXPBStKr4lErHMDrJR6UcGZxTC4nIqftaBWeqA7gGFFPAWCc8V2SKeqqorR0dG810dGRsbfL8fatWvH//xnf/ZnrFu3js9+9rMcPny45Oc+//nPM3/+/Emv3X777dx+++12Dl1wmeGa5yKiWV3apZqJ0qZV0wiWUA3EYkRTqVIP9ERTKQKxGDvXzOAn+mCwbB5cMkE9JJO9m6TT0NcHbW3FPhEDruaVV2Q2bnTh9XrFSD3BJY93hZf9m4Lwmmk1zxXgX9rg5g0KS+vTKAP2UijHY69SNZKc8c2JyWSSQCBAMBgkkUiM+xW7XBPnuJ6w95Ctx2f4w7jgovHoo4/y6KOPTnqtv7+0S0QW26Jz2bJlBVPob7zxBgD19fV2NwVARUUF73//+/nmN79Jf39/nqjM5d577xU+nYJxvCu87DkQZEOdSX1VYeGZNqEvZTXTgDUnPahpdh7oCRXPQc8MEkXunlOo6FzKydgIxwcSRCKW4Bwagmqq+Qgf4XEe5xSnMDGBM8BhEgnYvx9CoRDt7e2Ew2EhPAWXLP6b/dz34g8Z+9QxeBroAVKwNLGUOcYcVFQ8Qx5qW25D8v2YdOr/kumwK0kyLnHzDHfFSCaTNDU1EY1GqTEM/IAXcGGlOI39+4l85zuMVP4AieL33yymYdvSW3CZUyjol/XpLIdt0XnDDTfw1FNPMTAwQG1t7fjrzz33HADveMc77G5qnGxKvti4QoGgEP6b/bS/1s5nD3bx8dUmHtXqUpckq4ZT060IZ1s3DKUn5qT/zGbaPD7T0+s2u30kXUa7/x4+/8KnxufQV1PNbnbTTnuO4Cy0C4NoNEogEGDnZVK7Jph9OOc6WeXdS/S1PbA4AmMaYPA3D/i5rvuqiYVDwIMtnOIFVDrLbtfQ5814V4xAIDAuOMNAA1MnzQNnzvDcmSQpG6JTkm12bwoEJbAtOj/0oQ+xc+dO9uzZwxe/+EXAmlC0d+9empubxzvXjx8/Tn9/P2vWrEHJNGScOHGCxYsXT9pef38/jz32GNdddx2qXaM0waxkvPnn9GkSx49jjIwgL/w611T2o78Y4eqfPsxLdYMENoE2d/Jnc+ek//TFV23tz7A/pOutweZDmonM9cr1NDQ0EI1GMQwDHz7qqecVXikqOLMYhkHoMqpdE8xOKubUQkPLpNciz4PnKDimnAIJXFxpY5tx6jA4OqNdMYLBIEYmwllQcGaoQCtnZQrAaO8oB649IOyUBOeE7Z+U9evX8+EPf5ivfOUrnDhxgoaGBh555BGOHj3K3r17x9fdfffdtLa2EovFWLVqFQDve9/7WLlyJevXr2fx4sXjnzl58iQPP/zwef9SgsuHbPPPeC1mba31C2DZMjoaruLptesJfaaFjxxJ88EvrkSrkgrOSZdt+izZXfeW4XLZWjaGipk0CYfDBAIBQqEQNx68EUfKwQADtrYRF8adgksAXU8SiwXQtCC6nsA0DSRJRlFc/Kl+Jd/iowwxYeXQthk2BKG+d7Lw7OCd3EAYR4lCnDQyQeUdwAvjrhgzkUSmDMdLccEJoBJBw1NmFaQH0gy/OjzpNWGnJJgu0/opaW1txe/309bWxunTp1m7di2PP/44N9100/gaSZKQpty0t2zZwr/9279x77330t/fT11dHTfddBNf+cpXRK2moCRlm38cDqL19fz9n/nYuWcP4TdvnWRlkr0ZRbUgXx/pYwQdExmNWiJ4aGPzpJsRQO/oKNu6umaufZLXi7k/hFTixmgioeHBNEycTud4ivzAtQcYfnXY8i+0gSGMOwUzHF1P0tHRRCoVpVAb9kZC7OYpWtg9fq4P1UDLbvC1gScCTg1cDgf393yF/2fsFzQQLSg808hEaWDHvK3AXtvn0VtB9twt94jqpo04G0hRTznhmb8TYackmB7TuqNWVlZyzz33lDR037t376TIJ1gjLz/zmc+c3REKZjW2mn8cDkIeT56VydSb0eIpn/MQYQPBSTcjgIF0ml09PbTH44QbG2eE8JwUyfngSYy1MpJhUKFZvpzuNlCGrLUmEimW042Pyil1WNlmANmmW5qotxbMdGKxQFHBCSBjUE8fm2ljNxNp9qEaeLDFaqppqKoi3NiIukmhaX+Y7QTwEqKOODIGBjJx6gjSzA78aNWHMtueuedH9twtd4QKQzTSwou1n0G6/mPo8YmJRKO9o6QH0qU3IOyUBNPgrb+bCgQlSNht/snWBeekg8vdjByY1NOLjzYeZHLN10yyTyoYyVlp/ZYCNA+c3KDgaVmKOTQfDQ/d+EhTg1I35RSXrM/XUosd6oRxp2CGo2lByhlNOjB415woL81ViecMhahPOfjTVpPrX5F47fRB3MdXEGIZd1GqOSgNK4KA5YoxU3FlynDsxGIVhpjv+iELn/r7ScMzho8YMAq1mhUR3twGNUP5nx/oOcxzz90+XtKgql7cbj+KMjM7+wVvHUJ0CmY0dpt6jGxJR0462N7NyMRDYcf0mWKfVE4844DR+jQv+DZYoZssMqjNE016up5kdM7LwBo8eIgQKdlMJMsyzc3N5+dLCAQXCF23ZyG2Qhni2Zxyrtzxj0OZU+t2ouxjPj1UUjjVnAZXFDbtGHfFmBFMGYuLYeA9dYoQRe1J83hj6VLel1s/D7B04v2IB4IbYHdLvvA002dIpSb8tjUtRDzeTmNjWAhPwSSE6BTMaOw29cTmm2y8A7xDp/jciST33eNk/foEi6fm1AugUlxYzgT7JDviGYdphSKyyFDVUIXb7x5/KRYLYFwzDL+7gs3mZoIE6aW3oPCUkWloaMDv95+fLyEQXCBM02Z98sAcurZ1oQU19ITOyPERjP7Jn60hzV4O8KJUw47Fafp1FZCtDEFV3IpwbtqBPHdw3BXjLSeZRF93M7EjG9H4GDoqJhIfxOQaNI4RYZQ2KikQosyQliRa3/1uooODGI7CdZ2mA3rroc0HLQ9OeVOeeg0xSKWixGIB1qyZmZZSgrcGIToFM4qps9FjmYlX5ThjauxfBUHjNP8SuIYvfO8rzN1zwtZnSzXkzAT7JLuRHGnhAFXXzEOpU1Cb861MNC0Im1+EoJea3np2m7tpo40IETS0TOWahHPOPN71qVv42o6vCWN4wYxHkmzUVQ5WM/qZv6Gnt6fs85sCNJqDPHbCYO+m+zm09hCja0Yz54dM3bzrJrlivNXo279Bx5EvkWIZU6OzawADDwfYyHq2FhSeaUnCcDh4ecmSooIzi+mwIp55qIUe3A00beZaSgneGoToFMwY8uyR7GKmQbOifKZscsL1Jh03/4Ymsxo7ySWzRKn9TLBPshvJmXtlJetfWV/0fV1PWHmx3S3Q5qMm4qFFuwWMP7IiFapVuFX16RCNjfcQC8SIBqPoCV148wlmLIpiw0Ks1YfZu9BegWMG2ZTZ8tQW5h2fx/p7J86r7GjJW75+S9HRkhfzYS32WHVBwZlFxkGaZQTrv8yCRY9R09+PZJqYksTg/PksSKdZ+fLLJGrt1XlrU221pfTkLEsOuj5zLaUEbw3iriGYMZSzRyqImYZUH3RPDBU3ZZPIighS3tWxMBrF19XNgM51W5EcG+vGxWvNUIH8WM669PUcWNfByJFUQTnev1/j5E/iNHUIbz7BW4+qejMRtRJXjsjvgTFNO6AMueMfc0dLFrITC4X28+///k/85Cef4LrrdlyUekat347VkQP19DLW9v42/62NG8E0J+riy2DkLpPSsLzP8p4qgN0HZsHsYeb6PQhmHXbskUj1wfBRGOqG5CHo+REcbIH05LSRNk+z8kDp0hfSNBIRCuWLrJOjeQZMy7IVyQEUpXQnrV3xOvbQH5MqIjjB+ncZjqY4vD1ma3sCwfkmOZJk2xPb2PjPG/nwE+28OeogXbQSRkYaPPsu89zxj9nRksX8aw0Djh0b4ZvfvJ+OjiZ0PXnW+7WLrs+zua668BsZE3nZZimRbALqELz9EHz4R4U7izLYveYIZg8iTCGYMdiyRzr0ZUj1lF1mSMb42BGzvhdp6rw7LKPnPuppw5f3Xta7z+922zjyC4utSA4yqlq6k9aueB05eBUVZdY4gMhjGp7v2NqkQHDeSI4kafpeE9FEdNycfUsCfKvBo4JTgTlKBaudbirnLEZVmzk1x80Io2e1v1zbsexoyWqq8eHDgwcVFQkJExMNjYgZ4flDbRetkcbEXoSy6LqsibxNpw5VA8cVJ0nf+7mya8s9CAtmH0J0CmYM9pp2bJqam/L42JEB3wN0e36BqlYgSVdgmjLa6HzeuPZKjCXbeMegOcm7r05RaFbVGTORyO32E4+3l7BNkqmqasDtLt1Ja1e8jsVdZUUnwPBxnWQSRK+R4GIS2BeYJDgBhtLw4JGJNTJp7vTeys73WIIv4Thw1vvLtR1LJBJUU81udlNPPY4CaW0PHjZ1boDBlgvfSJNMIulnbC2VlCLXzoyJvDcSIeTxlGwmypZvSgN1WNfic3sQFsw+3vo7qkCQwVbTTkWt5YheBnU4c6MYquH0gx/lc/wCaABesV5/ez9Xff81XrvqhrM93AtObid/nEc444hjmsOoDPB2KcqWOb9gfkU1qtpsy4jZrng9oS1knp2okGkSCEyaOioQXHCCPcGy4ycNDEI9E4JPcZ3drU6eK0+yHTMMAx++ooITwIGDRbrlLTT8Z0+gN+gXrvY5EEAxV9taqiwocgwZE3l/WxvtGzYQra8vKDzldJr6Pge+NlDqF1JR1XDOD8KC2YcQnYIZg8tOVFH1gPYKpZ6wJUPC0zNRp6mN+3BmUj2SCR5tRnSmF6NwJ39N5tdifkcDYf4H4evtj+lUFCeNjeHMOM0Quh7HNI3MFJG6cfF6pIhZ/lRMpNypowLBRSExbM9CLD480TmtelVrVOM0+1qWfmLpJMEoyzIePEUFZxYHlreQ3v84HU0dNIYvUNNdMIjKEBoeSjcTpVFvu6bwW14vhEI4h4YIt7QQ8PkIeTzEVRVDkpBNkzpNwxNJc2vbO6gZAtnhYJ2Na4kwhhdMRYhOwYzBq6qEyjQTSas340yG0QaOFox2SIbE8sRyfPusOs00aSJEyLQFWYJzeQp83dQp1ehJnSPfOMRJ9ZuMXfufUD0AcnbWsIOKuS4WLf4gV155cTpRs5Tr5DeAzsFB/vCRR/j1hz5k26JFUZxFa8z0pM7hbYdRzX6gquy2NJTcqaMCwUVh0nnvqIbVPuthVFFBksA0Qdc4fuYNkrqOU1Fw+93E2+Okoil7wjMzXOHKHVdOetnlcqGWcLvIpaJbxRiEVDRFLBBjzc4LME43kcBNG3E2kKJYF3uaqopTuHdsKrwNvx/a2yEaxTk0xM4HJztbmEikWE4Hu8leGZU6peS1RCAohhCdghmD3+2mPR4vLrbMNJXGCB++5gNUSjoHew7S+0ov6bE0simjDqt4ejz49vmoGa0hTZo++mjjX0G5At72V3DdMfB1I9ekuUmq4fmbn2bkLh/Uv0F+nb3OmP4GfX33k0j8nBtvPHjRhKetTn6Hg47hYZqamgiHw+fkDZgdCTjUNUS1WUWacnETiKBSpIlXILhgyNm6bkc1rNsNVfUg5f+09psemjo6CDc24nQqNIYbiQViaCENPa5jjBnop3XMMROpwvKglRW56HAFAK/Xi7zfXl25MiBx3ddO0GEMWlHWC4FhoDBEIy3E8KHhGZ9IJGGioKESwb1qP4rzo4W34XRCOAyBAKlHn8LoO4mEgYnMGCoaHrrxkabGWj9lvK5AMB2E6BTMGJyKQrixke3Rw3y/6zeMUGkJwUzkAi3CSHcbD6VTNLgaCH8yTPVoNbFAjNPPnuZ453FGhkcYMAaIzenj5cou2lb8F0PXvQ98Pqh5HZjoTN/cBic2fheWFRKckxkZOXJRR7rZ6uQHUFWi0SiBQICd51BcGQvESEVTVgMWcJJKFjFabPo0fVTRhpuVwhFFcJFxzXNBHCvCWURwAiA5iKZSBGIxdq5Zg+JUzjna6Pf7+fl9P4ex8mslTKpOnmE1bRyPf/Gc9luUTBOQwhBrKO69S0WR1HoWpxN27qTCPzGPvkipZt54XYFgOgjRKZhROBWFyu5/5szzuyiWBzOAaCJKYF+Ane/ZWfBGkm3CeYf2saKd6dEvvAQfi9h2q72YI91sj9+UJAzDIHSOxZVacHK9206upokEHjRU9IwhjISGQgSVNtwMoVAnHFEEFxnvCi+hYyEM1VNccGYwgNBLL8GiRefFZsHpdLLmhjUMHSg+xzyLgoYEDPNrBsY+dc77LojLng2a3RNVKRARHp9GViICLBDYRfzkCGYcZ9OdOhWnorBzTemoxuhJHdQB28d1oUa6JZMQCEAwaPk0GwbEvi7BUhsfzojT+DkWV+qJyZHVKxnkuzSU9ACUZWgWjiiCi4z/Zj/tr7XTabPUJT44CE1NVgr5LIVn7jn6B10L+G8MlWklSqNmGvJM4vzl0b/kUPLQ+R+PmWkCKlnnMs0T9XxEhAWCYgjRKZhxnE136tkQP2VSI9kvSrwQI92SSet+GI1OuW+cVOyJzoyhc7EJKXbJjvobrIZWHxzyHMGh9qFLEpgSaApEVGhzw5ACUpqGBgd+4YgiuMg45zoJfzLMFcFnOG1jvQHWCXaW/l5Tz9EXcXMNcVYySNHGHfpwY42GlIHesd5zLoEpSE4TUCHhmUbmmKOBD/7Ez/DPrMCo12t9TPjrCt4KhOgUzDjKRTmnu64YwymJGtN+UeKFGOkWCBS5X0RU8GhlunnSELGiKbJ8bscmyRKD1bB1N/TVg+kAGJm8yKPh2HCC9I409VccI/yDPxU3LsFbgnOukyXVizk9PFx2rWya1gl2liUoU8/RIRRaaOQ/+RoKSws37tCGgpWCN8hkZi6Ev1hOExChEMTjpHWDWLfMG2N1BGlmx5gfLTpxooZClk49h8CvbXK9hhM5ZU4uRcE7gwZwCC4e4n9bMOOQ7U4dsluMWYQBSWGxVmt7/Xkb6ZaTqwu+8B0MY13+mjY3bIhDfapIMCUNfX3QZkVT6s6xuFJxKbT+Qa7gLIADjPpR2P7v3L5kHk7nn57TPgWCc8GWry9Qlx3veJYlKMFg/kPhEApjPMV69pf9fHav51oCM5XkSJLAvgDBniAJdwLDbSAjo725kL4DzfD0V2E0X1UaBkSjJoGANO3AbzKZJBAIEAwGSSQSGIaBLMu4XC68Xi+f+5yf++5zEgzCyWGd2N0djC0sfA0LaRrt8bjlLiCE56xB/E8LZhzj3allqJt3bkIrWqlyRcSD/Hsv22omOi8j3abk6hLF/DCHFGhpBF/MiniqQyC9btVwapoV4Wxrg6EhZFmm+RyLK1WvSsStFRecGUyHRPX8G9jx85fg6xsnilBlWeTuBBcVO76+cjpNcyYbcLb+Xoki1T5BvDQTwlHiCNJAMPNnPW3TkcIGhebPj6MAzSG46qfwvXAR4SnxbNDAdhclluBsamoiGo0WLOcJBiPcd99nSadVDEOCrTEoIjgh0xCa4y4gmB0I0SmYcYx3p5a4mMvINK84N6H1i0VuPG2fZvlNv0Gq7ytqm2SaUFV15fkZ6TYlV2eUuugPKfBg9mL8GnBz3hJZlmloaMB/jsWVbr+bwZ/3AuW75lcM1jD3Ow8UvolfzNydYFYz7us7OFh0bGNDXx/+TDaAsyxBKaZVA/i5lXYaiBYUnmkgOg92ZCoAEiP2atXtUGj+/CRkA1xRuDkATxYOZ3Ye14E59vcZCBQVnACm+b8YG1vF+IW0XHkQGXcB7QJ5mApmJEJ0CmYc2e7UUhdVh+yg/bV2gj1BvCu8+G/245w7PZEzb5HC1s5N3PHpx7n5jm8y//f/C7lWQ3KkscrAHPQP1HG48zbuuus8TSSakquTbdalulzzufbajcTj8fGUVl1dHc3Nzfj9/nPuilWcCnPclTA6UnatqevF78RW7u6smzYEAijs6JAfTLd8fQPf+Aah+fPzxjY2RyL429pwDmXsjc6yBKWYVtVw0kSY7QTwEqJO7kNe8DqGBPEqCK6AHVeC9q/W+rFKG+aeNrHj8IFswIridaTD+vQiv8FgsEzDopdJKlO1F9mN2/UkFlwWCNEpmHFku1MD+wKEekKcGDxBLBljzJi4aI8ZY3QmOulMdBI6FqL9tXbCnwzbEp7Z4vbYFzWGPq3zHUy+Y34Rjn8Z/jOnQxvrhnPnnXDeSo6m5Opc2It+XHvtEp599tnzdBCFcThs1tKWS1OeQ9OGQFDU0SHD5GC6ws5kEv72b8+rbVAupawwNZzcRebhavmzsOX3Jy84OfHHilUVZ7X/Qth1+GBe8TolQ7LpBZzdZ7E6g3Gm/EPZ3L5tT2LBZYEQnYIZiXOuk53vsS7m257Yxq7grqJrDYxJZvGlSOo6655+miPf/a5VFzkwMBFGqa2Faz3wD5+GL25CTik0NFhRFZuhl9JfKpmE48cnvfRj/oQu1hBkAwH8aORv43z6YcbjR7nrrtt4/vnDJJOjmKaJJEk4nZUk/te3YfEVZbdRZycdJoayC86Soo4OGfKC6WVsg5BlJk7k6WPHChPSsCKY/3K2ZMcFC/77grPafyFsO3dkLeGq9Zz6cB0kk7E5BhsPVtruIi9vyzblodUsM+Yt+ynJ3jrB5YEQnYIZT7AniOGossbeqR5QVJCkSeMxje62kmbxWbYfOsSRP/9zq/O70BN2JALBIEv/up2Pj95gaUmmFXopvONs+Ka/f9LLSzjJEk7SzHPcSjtNhCcJz3L3y+lo4Xj8KDfcsIaenrECX/0MPHUAPrgKCtTHjR9PbmNGCdK6Ua6cSyDIJ5lk3f8bYJ8RxEUCGQMDmQQugnjHH8wmBdML2AaNnwh1ddYT2zk0t5XTtJC26ic37ch/S8HKOm+CiqrzF+m07dxhypbg3N2R54RhAvu1Udtd5OVt2ab842g23QVE5/qsQvxvC2Y8J0eGYd3u4nOWVQ/UbeBE7B/Lbuuxf/zH4oITrNf7epGP/iM7sw0I26Ybeskn/fXtyNHOovN9HBg0EGUXn+db3I1cVUndOnfJ++X00pBw1123FRGcGVrbwLsBlteDXKAxA1j95qmJxowSnErILCm7SiDIIfMD/dE3CjfmNBOa9GA2KZiemR1+ISikaWOnuxlJD0NV3IpwbtoBc60MQPVINb6nfXh6PKgpFcmUMDtNcEJXrOu8jJG06/DBcJ0V4SxmvYb9LnJX2ZGbU9LvNryGZaBZVctsV3A5IUSnYMZzctH7oEKFI98FLQJjA1iXShkqai3Ruerj1roy9L/0UnHBmcU0Of3SSxN/n9L8o1dDzAeaB3TVyiJJpoHCHtQucLv9k5qOdD1J6lffp7ZMdsqBwR08zB1yK3zmzrI30emmIZ9//nDprz40BC0tLPrCHVz1gb8oOLP+Tz72dxONGSU4PlYnRKdgemR+oItZEGUfzLYT4C52nq0D0lkxVdNue+I77AruyktzV49Us3vPbuoT9Timqq1T0LOrh3h7nMZwY1HhqetJDh8O8OqrQXTd8sI0TZnhYRd9fV6Ghvys21je4QNThpEboLn/vHSRe71eQqFQiTR7EGhmfGdlvIZloKGqCr/bXfrgBJcVQnQKZjwjc5bBwc/CSB95lj4pLCEaDzJy9ZfKbstI2hmcN2VdTgG9Xg0duyFVT4EL6QBazy7i8XYaG8PjwjMWC7AsWb4rfByb9WeFTKunkpuGTCZHy+97aIh5rd/l2b+7L++t5EiSj7xTY2AhnK4CQwLZBFcKvMfAvw+co9bovY6KZtaW35tAMIGNH2gHBl6sH+jcbO/FnnxTzGHD97SvsODMYkAqmiIWiBWcb67rSQ4caCKViuJy5f9buN0h+vra+dbf/oorNrfzen8xhw8Z5tXDHe8FZdDWdyrXRe73+2lvby9qmyRJ/xtF+SDptNvy6ZzqNezUqZhj4l4tsbjSeogVE4lmH+J/WzDjGXvzicKCcxwTUr2Mvfkk8LmS26o2+rEhvag2cmovxya65mO+YoIzi0FqMMpvH/ki7/jQgyhOBU0LUm83KrNggW2Py7LNpBmyaUjTZpdooXVZM+rOd0QL+kmHVkD71RD6nsSp0Qb+aYGfO+wdnkBAUtcZOX7cVnS8LpNXzjogJXWdpo4OoqlUQfllp2Zxun2CeQ4bQyc4NXyK63qvKy44sxighQpHFWOHtzOS6sLhKHyuOhwG9fVRbl7/bRy77qKy+cuE6oaJVxoYiow8dx51K9/GDSs3wCofL4yYHBgYYMzGuV+ui9zpdPKrUIjb/uM/OKwojFZWYmL1SlWOjnKVrvPwHzp5+H4pdfk5UgAAIABJREFUp7RWQX5qDXWHzrm0VnCZIESnYOYz1EV503IThqJlN1UpnbG1yzpzFLZtg2eesXLUGZb+EubEoXszpGuKfNhhMDj8HB1NHTSGG9H1BGm7DZpLlti+KttNL2bXSTa7RAuty5pRIxfeqSFD1zyV65fcz/Gjt+M4pnD11WJQkaA8WdH40zNnbIlOGWOSo0MgFqPr5EnM1taCjhSGx0PX5s1FaxYnaqNNK0I3hdB+k8ceGuP5F2XqVk3cMnMdNrIcePgAw5SfB6/HC0QVk0m0/d9HXlP6WudwGFzreY4fPPgnPNs95clTPoN5RZzX3+ej/6CJL6Hzka9C97Kyh8ToyOscPPgFVNWbVyIE1v/Tuzo7iTY05In7M8ALwG1vdhL+phhrKSiO+MkQXHAmzQgeTmT6UWVc81y2jN1lPUXaxn5kvfzF3qnCG2XWqMATJ87Arl15yq7mdaiOwcKglWYvKjxVbTyNNvCBMV6VocnGd5iOgbXdASvZdU5nJdbtoTTz51fmvVbWjHpExfx+mN5EA+AgfQYOH554WwwqEhQjEItZUUqbP9DGkjM4dh3g/7pNfnZAoicex9y6taQjhRkM8uy//AsUEJ1WKWlhwQlgIBHrr+CKK3SWXmniUKSiD1KmYTObUGhdIIB+vb0yHFWNE6fAtcIwIHoE5f5votECQM0pqF42iI9WPERQGUDCwERGo5YIHtrYTK15Ek3bj6aF8kqEIOf/qcgxibGWAjsI0Sk47ySTSQKBAMFgkJMDJ4m9O8ZYzVh+WjaOLWN3h2RiZ5aHfmaUbdu2lZzQc8N1Vbz28mjJhho/sPIM5FmAZJBMqOqF1W1wpKXIRiRjPI32z9ed5oZ6WNddup4/LYFjGoacZZtJM2R17I03XsWhQx0lv7skWeuyZNOOB6UEFBHY1SPV+B75Lp7EACodSJiYSGgoRFBpw82QoYhBRYKCBDPz0xO1tbbWxxfVMLZsmK5snczeveUdKXp76fze92DTpvz9BykqOCeQGDAqGOiaeKXQg5Qk28wmFFoXDGJeb+vjSJJRdISuhMFyfoKTl0niYV3n7Xz57X9FvdSHo0DGyEOEDeznCd6TecUglYoSiwVYs2biZA2WmXNvffIsxlqeDw9kwSWDEJ2C80oymaSpqWmi2PzdWGKlSBDDjrH7PIeCned/c2SEXbt20d7eTjgcLig8P/GJRTzzTD+9vYXvUZIEmyrAUSYgKJmglrKrNK0vrMd1fpcc4/FNcOtr0JAoLDzTwNE6+LT7Ga5/YputsZ52Tas91w8BKvfc82OefLKYT6f13VesqOBb3/oxelLn8PYY+7+vcf2Iznfnfw1TGWWwchCH4cCQDapHq3GkHSxJLsFhVCAzkLdNDxobiNNCI0OGIgYVCfJIZBpYgh4PzZEIjhJPRWlJIujxAFBNJnr33sdR/8gct+7VNCvL3tZmGTIAYJoMHzpUeP9nORK9ytB5V2eMX3s0Vqg6pmEyetROxTgodQVuvYmE3SE+mKZccoSugzM4eRmVCF/kSU6RLCg4rbUm9fThI9cKzUDTJp+sCZvjKk+M6mzbZlNDTtf3TXDJI0Sn4LwSCATo6uqaaEY5ABzEqjavAlYAm4C5E58xMHj0mRD+dxa+rqxRl3BAO1J8pyMqPO2HqBfDcNHZXUXdtTBn0QCVbx9g0ZY3WDRfwquqfNS5kN27O2lrs25MmjZxUVRV8Hjgmv1AT/nvWlHqgV6zvOdMw2QwXYE2F5o+BdufBm8P1KWszu/cOc33vwuOxg/w6+DztsZ6+v3w2H+METsiU1TKuqLslTew/cRBVi1exQsvdPHlL1sTifr7JyYSzZ9fyY03XsW3vvVjnEo9HU0dDHWmGE+S9S8d36oVx7QX0XEA9aTwEeNB1ohBRYI8sg0sgc2buTUYpKG3t6DwTEsS0eXL2eHzUc0gu9lKPX04GgpE7zywYQO0tEwIz/mv9dO1Ld8n82ysl6rR2U0H9aRw9MFw3zQ+LIPaXMCb0jBQSlxTBnVo7YaIBicHu9H+53u5toB7RLISAjdDcCUkqkyGF/VDGGorwKPC5tVQM+XO78DEwWRROToanyQeo18zYSll6ew6wj/8g8/6oriw3PH9gDNfQ057/JTgUkeITsE5oyd1YoEYWlBj/cH1PGw+jImJhkYkGaGNNobIXPmPAa8Bn2KS8Ow7HaepqfAD7e+v3MDzPc8VrikcUWFPGDK1hACcgfQbkHoDUodq6N83n87dHYQ0jTmOK3hPzXO0tJSIEuy3972lYptISxCxojGSLOFQXEACbS7c9d4S28v8bnesp9MJ8//HuyD0x9DjhVSdFWGVjEmm1focjdvuvY3n//556upW8f3vP1/ye3Vt6yIVTRWdeWJXcGZxYEU84exu8ILLm+wYRK2mhqbdu9ne1oY3EqFO05ANA0OWiasqQY+HHT4fWk0NW3nAEpzFoncOqK8Hnw8efNB6TRk1Cvpk2q2NzsVHzBKc0/6yUNVQhdvvLvCejBqBfo+EPKV7fVCHrR3QN5JtqUzBwmO8mnk/6x7xq1Z4159DdIHV3AdYOe+U9SuiQTAOu9flC8+pdHcbk8vaR22e98YokFPQTQhoB8IYhnOyhpyu75vgkkeITsE5oSd1Opo6SEVTYMBiFk9634OHDWyghZYJ4ZkAngZyBZhkFH2g9d/s56EXHqJ/ZPIIScCKcOYKzqmYEvRWQdtqjJYj3J++nQ3Kfmr0oxSu2ZSRHA6wUUVqFrpZpSXoWw5tPsBKozkke6dZ7m3GwLA11jNqvADv3Vd23eHhw2XXZNGCWrFy1rNGzURRzuYGL7i8ceV0Oms1NdzVUqxQegIPkaKCM4vDYUU8s8jIBX0y7dZGT96/ZktwylUylSsrkWQJpU5BbVaLTyRyuXC3wckNEsP1Eg7HxEnY2p0rOPMxZIi64LaPThGcUzCB3hS0dUNLQ+ljP3NGnqwHbY61JK+m0wCiQAAypv7jGnK6vm+CSx4hOgXnRCwQGxechXDgoJ56fPh4kAcn3piavjblog+0zrlOrqq7igO9B6wX+gEd6woa9VJ23IYpWSPZgAFq2FX1MN91/hRNC6HrcUzTQJJkFKUOVW2msv4Z6D5Q9rubDpjXbW1eN2sZ01ZbEc42HwzVjKfRbI+sm0J8uPyHRmV7NWR21wHoCXu1W9NBytwu/3/23j3OrbrO/3+ek7RzT9qZCu20tANTWprFQjsMzrRYVNR10R8uKrroTmG9VLq4fK1bAf017sMN6yLbFRaRVlQKHZFVC+qIiF9lha42oWHagpBe6JS0nZmW0mQmZy6Zy8k53z/OJJNkzkk+aaftTOc8Hw8f0pOT5EzOOZ/z/rw/7/frdXh6D4tfCp1R4W6byUWjy0VAoEklHZdJ/bDpfmmr2C5G/pGlk9nYCDt2JBUnRb9f7B4pXlDM1XuvFvvQxkacgQD1azUONE1nn6ca1aWhSTJ73j6GnkdhWJPhQJV1wJlEx8h45iMWy+qOF7C1JJEw6pbGHh0wOrinYshCdd9sJj32SG9zWohkxRw48ODJ3BjP2qnfGOCsJrTKQNoo+WPgZPIfgmkKZVrqPzsTJRldmWNYsR5eejnvQFf+JtTfKhFnLq1sIqO9O20ZrfElAcs6E0T21wU7D0T3A3HZl0LQkUDSiV/WxYH46MkXEe62Ob/x1tTQEolYyvHIwHRZZiDtfpQE76Wk5KyElDEGpetker3wX/frqHk72NM+N69usEFB95LXCy0tONva8GwewkM49dI3bwfekf8jBkWTkXkWchIJmVAoS0kjj60liYShItDcbPIipM+8k6dSl3SxUN9eIjlvsEd5m9NCNCuWyjIkyVhLlqHdGOAs68nTHzIZ47jgYJT2QMnnvJEc/HMWuE+bhrZ0GTHeyWFnE0WxEnRNN11Gs7LMy4cs8LdJuqBEi+B+IC77UggKTpgbh6bDGdttbT8bt9NJsK4OXzhMQFGIpNlYVjkNu8RBTePhzs7U3aML3ve6bgScc5lLE02j29OCQbcbll0JwV3ixywYKhV2L7ndRlG7z0eapQ/IMlppGAQ0PERD3NyjkMzJk7U0N2dZ8WbbWrpUphXpoB9i+ORJE8kA62+VZcPyMz79KEJCWQXoF9tMbAoOOgcHB/nGN75Bc3Mz3d3dLF26lHvuuYf3v//9Od/3/PPP88QTT/CnP/2Jjo4OZs+ezfve9z58Ph+zZwu0xNlMSERn8mOaT1JdM7JRk7ndGOCsJrQZAVjGRwkGcfLoccr5nHlyDP5UVaX83GS3m5nAzDxfnW2Z13qslQE1/wOkqjT/QFukFTEkIPhepI0VfLfCWTm+c9EEEFokwX+2QvlYmf9T0vazOa9wO505Jx0xVeV3XV2pbKgiFqqgKqXcxEdooonytJWI7GBw1XtlWvdYC8Rnowg+Ok2lkXLhdpt2acsPLYHIPpM3ZCIa4mYPs5I0jeLiGqZNuwCXq4F167z09ZkoZ/Q5YfPoeaq9DOBW9u3Lf2zp31pVBeGwj+mXDVD+GjmlonQZpAL0i20mNgU/XW699Vaeeuop1q1bx6WXXsqWLVu4/vrr+eMf/8jKlSst33fXXXfR3d3NTTfdxKWXXkpbWxsPPfQQzzzzDHv27OHCC0UM0GwmGqIzeT17Du4sgcPLjQzndi8MGgOc1YQ2oy6yJP0VwUJ01+h6UpXIMq7F4H+qpFvmrf+/67nff3/OrKeMTMO8/APtotJFtGqtuRO+mrGfKK5Gl1HzNg5lVAkZOquh+T9jluLyABFBDUCbqUl2NvR4/xV41L04cl2kCYna0EdYy9jGpOxg0FjckPItbrBgATidEFNcaJ1K7nyrlTTSKSBaF16kwpDA8DajqJjS0ppUHXu27WVpqdhxVVWBrot2YhmDe9LCVFH89K023N1KOswDT12CwXnFFHu9Y1+0mZQUFHTu3LmTn/70p2zcuJGvfOUrADQ1NXH55Zdz55138uc//9nyvQ888ADXXHNNxrYPfehDXHvttTz00EP4fL5TOHybc41oVkxhNJMlSaAf/0fYkhnUpfspZ9M4L60uch6G9BIAfqCBnNXtkm4sB2HEZg2u8XkQnCr5lttlZGora/Guyj/QPv3lp1n47YXmjk8AGkzrncbTdz0tfHw13hoiLRHib/Rh9qFWOp06Oioqb/EW7ko3c5fMZduCPh68OUFfjoATBEoebKY86dlQVX2Y1tYg8XgbprOjLBWJDEyCQcHFjZScmxqrobU+Yt1EmUsa6RTIGP8skDVY1FvE7umDOZuJZGQ+sOR2rr7aelItYjwxOl43EggEDDOQHN8KDcgy1NYav+X+/VES5Yad8IJmw2xjmmIovukyDLtA8cDbX7yIOlsY/rxB0nXx0f7OO+/kgQceIBqNUl4++hS59957+frXv87Ro0eZO3duQQcwa9Ys3vve9/Lzn/98zGu7du2irq6O1tZWli9fXtDn2pwdDq4/SPv97TmzYgkSbGMbm9mMJMEFF0zjrbfeBkYHkuRgZGU8ERuIUf+DeiNQG9DgEUaSnC4gCFjIJkm6UUu4qRW5PEFtScmEaFpJ+tEH2gNE+iMpP/qq0ioa5jUIORIlOXLiCB974GMc6D/AoDxoFOfrEkVaEYtKF/H0l59m/gXzCzo+NaYS3nAA5Yd/Rh0owujt1YFeQjjoJ0EZ5UgjppcKCiFCPCE9weyFs1OOUEt27mRff3/e77ustJS9Vwt2+drYYNQEhsO+DBUKNInB14rQdl8GW0dUJNIZCQbTdTpP+fuT+sQBBTWiWtZ0jwcZ41+OieofVv+B9299f9798hlP5DMKSh+vIcuFzuRbp02rZfnyINdc404F74HAQgYG2vL+7SUli3jXu/bn3c/m3CIarxV0R+zevZtFixZlBJwA9fX1AOzZs6egoLO3t5eenh5mzZpVyGHYTCBSWTGLGX+CBCecnfxxdjOXzzB086677kI2bixHkqwzCdlk10WeuPsEbz/3NoPhQfTeVeh9/z9SohGYhT69GGlGBdIMLeVIdMGMMhomkDxP+nL76TL/gvm8/K3cgu+F4nQ7WfhdD9wzd0z6Z7Gu4+vrIwBEysrQJAlZlqmqqmJNwxq8Xm/KgrRS8LcWKnmwsUnD6XSbqlCoHpXw/jDKlWc2GHS6nSmtzzNN9viXa6Iqul/O7yso8+smGAzi8/kIBAJEIhE0TUuNCQ0NDRljAhgThsHBI0J/uyTZnevnEwXdeceOHWPOnDljtie3dXYW4gVmLLkPDw/zqU99qqD32UwcnG4ndcE6wr4wnb9/Aa17mtEpLuvgUnB4QsxpamZz+WhH45Ej7dxww11sLLBmckyg9lWRd1UA1QV9j00aJrWtbkD0zIloME6Ekgeb84ezGQyeTUQnquM1oS2krN3tdhc0nofDPnQ9vwEHgNNpd66fTxQUdMbjcYqKxnbBFhcXp14XZfv27Xzzm9/kU5/6FO95z3sKOQybCUZykFd23YKi5PeQjMUgYNuaTQlENBhrS0rw1tSc5SOzsbE5VyiKX3jf8vJlZ/BIbM42BQWdJSUlDA6OdUUYGBhIvS7Cvn37uPHGG1m6dCk//OEPCzkEmwmMy9VIV9cOHDl6epKGFRHb1uz8JBYz1uT8fohGcWsaeyWJI2Vl+D0e7v+Hf0ApK8vQYJwoJQ82NjZnB1XNrzrSSxlbaWJvp4eeY/+NjgOno5gLS2azwj3THjcmKQWdsTlz5pguoR87dgyA6ur8y5hHjx7lgx/8IDNnzuTZZ5+lrKws73u+/OUvM2PGjIxtN998MzfffLPgkducCZLNMP52P9H+KNPlYb46H+aUgsOkDCfdsKJqqJ9dK3fhahzfgnubc4hF94EDuBi4eM8ePv3SS9bdYjZTkqx5Sqp2sLLS6KLOVettMznR9dx6bL2UcRub6KQaHceo6r0Kh3r6eKmnz3YyO4c8+eSTPPnkkxnburu7hd5b0NlatmwZL7zwAj09PVRUjIrzvvTSSwBceeWVOd8fiUT44Ac/yPDwMH/84x+FtTkfeOABu3t9gmHVTXlbFJoWgKcCXDJICugJUJRMw4oqQNmhoAQUIi2RcekmtTnH+Hy5XZw0zXjd5xtXDVSbyUu+LulAwDAHs+cp5xf5moO20jQacJpgO5mdW8ySfsnu9XwU1Bb2iU98gkQiwSOPPJLaNjg4yJYtW2hoaEh1rh8/fpx9+/ahpgk+9/X1cf3113Ps2DGeffZZamtrC/lqmwmGb7vPVJajLwGbD8Edr8CtrXDLVrj1VrjjDti8edQhLWWLqUG8LU7YFz6rx29zBvD78/rVo2lGJGFjQ2HzFJvzB6czt6B8CI9lwJnEdjKbnBSUWrr66qu56aab+NrXvsaJEyeora3l8ccf58iRI2zZsiW13913383WrVsJh8PMn2/oA37mM58hGAzy2c9+ltdff53XX389tX9FRQUf/ehHx+lPsjkb+Nv9+X3EZQwh9ywkJDx4RjdoGA44NpOOmKriC4fxKwpbOzoQmkra9bw2I4jOU37/vR52/mYvzkqnXZJzHuByNeZsOu1BTM3CdjKbfBR8127duhWv10tzczNdXV1cccUVPPPMMxluQ5IkIWX5W7/yyitIksSjjz7Ko48+mvFaTU2NHXROMqL9gvaTWXZqEhJzmUsTmU4hasQePCYbMVWlvrU11ZmuJsb6qpuSL8qwmTJEBYeR7gGZ/n2GyYBdkjP5qanx0tn5PTRtwPR1TdBF3nYym3wUfMcWFRVx3333cd9991nus2XLlozMJ8Cbb75Z+NHZTFjyZjlHcMpOZjMbGRkXLjx4aKKJ8iwjbl2zB4/JwKgLjJ+O/uN41SE0ZBQqcMsxsQ+RbbFnGwPR+UdGEJJWknM+6nFOBZxON7Nnf57OzodMX5cRex7IklhwajNxsKeJNqeELFgOPNc5l8d4LO9+kmwPHhMdVY3R2lqf8ruuwJDeT1JcYfHGbKosxJ7tNuYpx5j5R1EMVvngIj+URFNG3Cfibh4+Op/V21dTPlhul+ScB1xyyT10df0uNZ6kU4HYubWdzCYf9hmzOSUqSytBoDRvhjYj/06As8q+FCc64bDP9AGRRPGAK2SYUVkiy4aHXjZ2G/P5h8AkorJy9FyWFkWYtqYOZeZRdDnzGhgCts3biX+xn00/2ET5YLldkjPJcTrd1NUFR1ZOAqhqhMHB4yQS3XgI5W0msp3MJif2k97mlGic10jgaCDnMruMzFWlVxmjQ55ltL5QHzuX7LQbBSYwhouI9Yk8vBpm+aG4wyLwlGWorTUyltnYckvnF4KTiPf+dZBAwE2JprJq1R08N/MIusWsRZd1Oivb+cOqm/m331eihd2w/oN2BnySEYvF8Pl8+P1+otFoyqe9srKSd7/7/Xz0o79l9eAT+FlBh4Vsku1kNnmxn+o2p4R3lZeW/S2msklgBJy1lbV8+1Pf5uC2g8Tb4jkDz0RXgv4uu1FgIpPPRSRRDq2bYGZzBd2hBVQpCrKm4XQ4qJ03z8hwWgUIttzS+YXgJGIDPn5dcy9rD+3hoYtesQw4U2+T4eV5vZTRCwPA/a/bGfAJRq4E9/LlAzz77HsJh19BM7k2AoEAv/1tDU8+eQs/jj/GD+IN/EW7mJhennIkml0ym0bbkWjSYp8xm4KJqSq+9reZefUPmLHvB/R3/wVtOIaMTqnDyaWu2VxzUSPeVV7cxW7cQTdhXxgloKBGVAaPD5LoztHpbDcKTEjyuYiAEXjuWuvmFr6b2rbS5eJP+cwdRNuYbbmlyYHgJMIZ3M0mWhkkTk9Jj9BHR9IVMewM+IQiX4J7x45pwH8D9WBSt6lpGq+9FubRR4vYuPF5rj3TB2xz1rGDTpuCyJbJYcHnYcHo60NAtKQEb5o9mdPtzAged63chbIjT6G43Sgw4cjnIpJET2syE667SntCxcrK8DU14fd4iLpcaJKErOtUKgqNx47hVVU7wzHREZxEhN9oYKg7jgRoklgru5bdc2hnwCcEakxl23Vh7nhDoQIVCR0dCQUnIVw0U0MfTqAW2ADcafo5mqYRsM/neYs9ctsUhC8cHg04TRCxJ1OjYg0AdqPAxCKfi0gSZUTYuaC6q5E25lhZGfWbNtFWXY3mGFvLFbjcw1OB53j5qhVUFYsdj805QFALSem/OFV2I+tikxqzFfih4yeYLnpsNuOOGlNprW+l5o24aeuPB4UVRFhL3Ujg2Zjz8yKCKxq24MXkww46bQrCryh5FTrz2ZOJanLa2p0TC8NFJECu4twEMsedV7Cy1EWDy2VZdzXmYRF+Dpl+lPLpdLY44ZYjUD62BEOTHBxWS7gjuJHHG+/C6bSfKBOB7OaQZ958U8idStVG9Xor4mKaW0p/DTGiuNOWZ4+1x9MXXGzOMmFfmHibecAJ4ACqidNEmM0sBCxk00Ywq/fMxha8mJzYQadNQUQFbcdy2ZOJanLa2p0Th5iq8rD2Wf4gX0ZMm46GIeBcgYKHEKtpppw45SW1fLPuezmDQfOHxUjI8BbwlA6Bd8CmVtPAU8fBq4k5hMM+Fi606/jONbFYjPr6etra2lLBwnEQCjp1eTRM8Rz1EJoXyt1MpMl0tn+Mer5IkPpU4KkOFnNw/UFb9eIcofiVvAolDoyMp0HurLYsYCBhC15MTuy706YgRG3Hkvupaoy/HPp3vnOyjFfVamJ6Kdp3QR+IE3/zKXgrTInSC7qGrMtUxCvwHPWwevtqXFW2Bts55cgR+NjHiLW3U79xI21z5qA5xpZMvM7l/IKPM1ceoJgqql5tozFHljPfwwJdgo4SaF4Aaw+Z7qLgGsm62pxtsrPUb701SFfXr4Ao4Ad8+FFogBwqi4AsI5UWG13owOrtq/Ev9tNR2WEeeGoyRGth+zdooxwfG9g4UhcYZRZ997fbqhfnCNGSKRfJ/XJHqFVWBhJp2IIXkxP7zrQpCFHbMVmSUNUYL768ilsGvkonc9L01nrh9a/CQCdM08estITmhfBf5qdlesv4HryNOEeOwMKFMDyM77bbRgJOqxBCQsXJYa0c4oMQHySgKLREIgTTGsqSiDws0CUIWU86NCRU1e5kP9uYZ6kvGPkfQANwA/9KPTegUItF4Dmi2eqcORt29gFQPljOph9sonlVM6F5IZRSBU0yJqOO/pm82f5+2O6FQbdRwjNSF5hAppV3cZmtenHOEC2FklL2ltb3rizLNJgZSGRhC15MTuyg06YgKgW7hqucTsJhH98fWJkVcAKHtxoBp4W/ri7rdM7spPmqZpaxbByO2qZgPvYxGB4GwO/x5Ag4zcnVUCb6sECZZvmSjC4k4WQzvuTNUuMAaulhA/XcyQaMlpEqoHjaNC6urTVsUEc0W12+t1Fe7kslvsoHy1n7+7UZn5gAtjFvpBZwlAhVJJBpo5aHuJOHOGCrXpwjREuhdCRkEmiYpx9lWaa2thavmYFEFoK9asL72Zwd7KDTpiAaXS4CeZqJkjI5iuInxN+NdZRQQlgFnEk0WeOHz/8Q+UUZr9eL264EP7scOJD6z+gpWs1ZNZQJPwTGaOOM4kIRlnCyGT+EstQ4gEYUMkVxFl18Mfv37s3Ys8ZbRqQlYmkekQA6KaGZmjGv9VHGd1jHPXiZnzae2KoXZx9npVgooeCkdtoR/vqL3ezevZJIJJJyJKqqqqKhoUF4vBco+yxoP5uzgx102hSEt6aGlkjEUjYpXSZn/64oPZgELMNiItA9ag/3f/d+WlpaCAaDduB5NhkcTP2nJlhSYYZZQ5nwQ8CioUQigYcQTmf+ui+b8UU4S23SnWzWHOJ0O6kL1mWYRxxq0xkcNtN3zOQo87mTjUjoeDia2m6rXpwd0mt7j++7nAFO0sO3UQngJIKLIRxIVFCBBw+fYTWlHCO4/DHc3/3daX9/paBimkB5qM1ZxA46pzC5PHAbGxtNZ5xup5NgXR2+cJiAohCcYC6WAAAgAElEQVRRVTRdR5YkqpzODJkcXdfQMAtYBFNdkiGd0dbWhs/nY6Pdgnj2SGsYkwWbx8wwazwTfVjgGh6zSSLBXDpp4glcrjWnfFw2p4b4UuXYANOqOSTbPGLdStixQ+xbJHTmEqeJw6PbbNWLM04sBvXLE7QdAg0HEAfeA7SRHN/TUwshQgTYzm76cF/zxXE5hsZGo0ko1zUpy0Ylh83EwQ46pyhmMifpBAIBywyj2+m0FH5PR5JkZNNldMFU18hbbYeKc0BadrMyh+ZqPswaz0QeFsgJqjyHKOMwGhIyOq4ReaYmnuAdJbOpqclf92UzjsRiyCcHgAsFds48uaLNISB4faBTxSDXcYImDlPOqLSWs8p+rJ1pfBsGaDs0bSTgBPCRHnBmo6PTwVv8+4wZbBSo1xTB6zV0OK1qjEd61Rinr7MZJ+y7c4ri8/ksA04Ynwyj01lJhYm/LtMqjIlxPvpH/1PUocJmnCgqgqEhABpDIQKn0EwERkNZNiIPi0sugZ/d/TS6/gKqGkHXNSRJxumswuVaQ02N1xaGP5uMtK1XRrcgFnSO3q+FNIdA/usDScd5QZx3fKUV/c0ENAN9yS8DV4MttXam8T99DI2L07eQbwVLAwKLF4+bUrvbbQi/+3zGJCUSGXUkSutVs4XhJxh20DlF8fv9eV0fTjfD6HI14lH2EsKT2Uzk8uRvJtKA9sxjsTmLLFoEra0AeJubaVmxwtKa0gor33Wxh4UDt/ue8fprbE6Xkbb1RvwEaEhluMpQaSKMBwVXym8b+h09tLu/TuDSAMuuWVZQM2D69fEnv8aujkGGE7pR4+saBo+C2nSYfeUJ9teBfwVsWgvlcSipLaHGW3PmfgcbACLR7BUMsWLfSCw2rsfhdtvC75MNO+icokQFOwJOJ8NYU+PliydX4R9opIPq0cBzwWqI+CHegWngqWGMYdsrgG8AjYTDs1m82PbVPWs8/XRKp9Pd10dw7Vp8TU0EPB4iLheqw8HhCy9keJq5rFE+33Wrh0UsBt/ckOB9niGiUQktoSMBbqfK0hn9fOXjfbzznvm2+PfZZqRt3YuPFm6gjVpK0NlEK9WY2B8mSljS/QFuiN5Anbdwsfbk9bH+4CGC7e2W++kO6Jyr8dOvy/xLdJ7tSHSW0IaykwBiSQE7eWBj351TDDWmEvaF+efwPzONaUgjuQkFhRAhmmmmL7VWdXqDhNPp5tqrttNy6N/5zskwr6pziOll6NMkuMrH4OFf0HV0N0Mn243GFR1jSb0dI+AcfBlG5KWHhjJUfGxf3TPN/Plw8KCh13ngAO7BQTb+6EdGrWdRESxaRGzbNnyqmrehTJRYDK5arnPokIxGSeaLw/CXeDkvPBTnsWf3cO2uK+3g4iwQU1V84TD+z36W6Jo1hpJB38vM/nkvn35Jo7rf2m+bcRBr9+eRZwPQZJlXr3mDmhXLcBZwvdmcOtIYjVyxOn0Re8vxQlVjhMM+FMWPqkbTSnQqcbka7RKdc4R9h04h1JhKa30r8bY4C7WxDwEPHq7kSr7El1BH7MrefPNNlixZkrOjPRdOp5tli+6leZHZq7eyfv167v/e/WhjZE6+AdZ+Jrav7jiRV8Hg+ectz7cbGM+f3ueDQ4ewUDwwhKU7KOGRQxewwHadOePEVJX61lZDHq02y0n9GwoLvqTheD1PEHGaYu1RE8ktM7q1IsJhHwsX2oPB2aCS7jFbRBCxtxwPVDVGa2s98bh5c5OiBIhEWqirC9qB51nGDjqnEGFf2FKEGSBOHB++VMAJMDw8zL59+4DcHe2nitfrpaWlxaSpqZE8zs22r+5pIqJg8Ktf/ZKf/exv0PVdZzxb4PdbB5zptYPvYJCO7w0R/U0UZ6UTV6PLXlY9A/jCYUs9XoCKHrGs1amKtcdiMY7/13/BK69AT89o4W9FBXg8sHo1lJcDxpCmKPZgcLaol19jZ2JZWvd6IxAg1zJ7IQoGp0s47LMMOA004vE2e6JyDrBH6SmE4ldylt5sZSuddFq+fiY0M91uN8FgEJ/PRyAQ4MSJE4TDYYaHxWbOdlP7qWOlYFBWBk1NcPnlGhdd1MbJkw9hVrqpKP5xzRZYlRmXoY6pHdQHoH+fIW+gBBQiLRHqgoXXDtpYk29pWxKsvDkVsfbkhKjbqoU9FDJmKZs2QXk5Mjqqag8GZ4vbK/7Ec90raKN2JPD0Ai1YySYVqmBgRiHL5YqSv5seNHuicg6wR+gphBrNnXEIERrpPbXmTGhmut3uVBC7fv167r//fkRrhOy69FPHTMGgrMx4jldXQ65GdV2HWKyK9eu/S1fXAE6n+7SbvKzOZRNh82aV1BtPv3bQZizpS9tl9NI09GM8kYO4JAVJ15n9b8MQK4eQB5pXQ1+56eecilh7ckJkeVHoOnR0QHMzrF2LCwV9pM7QruU788QXNfHizr/lP/ksARqIUMUwP6GL7zFMK9M4zgxiaMWzmVt3UUH2lmYUulyuqmKNsvZE5exjB51TiHwZhx7E7CnPpGbmaCAkFk3avrqnTvTtt8dsa2rKH3CC0U9UURGlvv73bN781xmv7diR4Ec/ivLKK9OZP1/8IWN1Lj0oeQotAA1i/i7h77LJT9JNqoxeNmlrqXZ04phjcl96QrDCD2s3mQaepyLWLiLphq5DKJSyRZUkGVWNsTO4nIGBQ5jFut2xHbx98pfUX9VqB56nQfm753IweB936M1s4HGmoSChoSMzjAuF93JYamLO7ZeNy0Sw0OVyfUyjkzmi+9mMH3bQOYXIl3HQJoDsxaiUk9hM1fbVPUViMbRweMxmjyd/wJnE4dDweMyy3g66uyu54oothMM3CWc3rOwxXYjVBMaPHxfaz0aMpJtUE1upphOHw+K+d+hQ3QFNzbB5bdaHnJpYu6ikG0psxBa1GafzSg60bSA+cAiHxVAnS9Afb+MvB77KMs8jBR+XjUGNt4ZIS4RDbWvN40B5fDVTC10ulySxbITofjbjhx10TiGclblPtzwBZC9GA1o/0ECuZiLbV/c08PmQh8d6m5touefE5bLKejvo7r6soPrfxkYI7NDHNBNJeUo+kiTUAaH9bMSoHJEf8hDCIed54Dt0I+OZzmkEHqIT23JNYRNrKSeOy9XAX448wcw8w5NDAn/bo1xyyX/gLraznaeC0+2kLlhH2BdGCSioERVd05FkCWeVE1fD2Oa+0yl7GBwWW10bHD5pHJ9TrCfA6bSzFmcbO+icQriWF6Ps6MaqXrKCCqHP2bdvH8XFMm53KZ/4xKf51rf+QzibFYsZ0jh+v9E4kmxITdYC6noy6vEBN2Atm5SgttZh++qeKn6/qciJiVV6TqSc3SRVBdX/er3wq1/CobbMwFO36GgfezCJ/PvYCNPochFQFFyCZTdDrh6i00q4pNY68BBFdGJbKccoR6akpJZ58+4gfOQ7Qu8rkxP4tvvY+EG7c/lUcbqdwkvnkYEodwQ38kqihh7eiYaEjE4FCh5CrFYeydmUGBkawrxieOx+YLjhGVnPXOOTjMtlZy3ONnbQOVWIxah59mYirCdONWaBnAePUDMRwOCgzokTfTz88A/47W9/z+7de/IGniP2zZaeyoEATJ/+FPBOQAHqgQ0YchxVGMGyBkSorj5CMPhpWxj+VIlGTUVO9AIbjXU9V3AgF1T/63bDy60S39yQYPvTQ0S6JDRVZ3BYLOiU3L3C32WTH29NDS2RCHJcLOt4XCrii5Wzqbn9Q2hoyMhUPlVJ47xGvKu8BWUVK61qLbKYObOCefPWUFPjJRz24ZDELmBJgkC73blcCCmjAEUhmmYGUel00pjDDCKmqtQFd3AkcV2mHfIIITz4WcGm+O2WEkb9ui4UdPaPDGA1NV4ikZYcdaDGRKWmxs5anG3soHOq4PPhDL9GHWsJ04SCBxUXOhIDzEZnOqtZjR8/HXQIBZ5J3nwzLLSMOmLfbNmQqmkwMDAXQ37jqxiB550AlFFGE0148ODGTWW8kv0NO22dxlNF00xFTpQCdbwVJdfylCa8TBobiOHb7sPf7ie6OIr2NY1iZCpLK1nw3NWw7SOG56EVUgL5nW8WdvA2OXE7nQTr6tgemI5IWa2uywwk+tkX2Te6MQKBowFa9rcQ/EJQOPBsbGwkEAjkvH5kWeb971+TClIUxS+cqdd1iPTbncuiZBgFmLweUBRaIhGCdXWpwDN5T/+k380x9wqQzO9fHQcdVNPMZ7jLQsKoBxcXCByngrFS5nS6qasLjiznB1DVSNpyfhUuV4OtYnCOsJ/SU4UR72QnfSxkc8ZLu3gQhXdSTjmb2EQzzYQIcWDa6wwNiwWfIsuoI4eQBwfFxe9haEhOPXDKKGMTm6imGkdyptwF/V2GTmNXQKH1Zx3c+1gxpTOm5Zx124wgy7iBIEYhQwCIAMdC4s1EiYRMKGS9POUgIrRMGhuIUf+DetqibWOb2SLQ9rev4PEvh45q88BTSsDcTtpWBPjl+lOTa7Ixx+10Mrd0NopyKO++ilIFJWMDOQ2NtmhbQcvZ1qYRBma6j6IyOQCKKt44aZPfKEAD2uJxfOEwGxcuzLynr3zAMuBMouMghAdVfcH09Tbpcmr4C44cyZAEEoeky1P/djrdY7KmqcntHj/R5xpGM/Klp5aRtykc+6k8VcjRDeoihIIHcFBOOWsxOlBvmfUBjhwT6xwWWUYVbUi96KJl3HDDOgKBAJFIhBuP30h1d1rAmYVDg1ntOg3fj7N5bdx01m2TxcjyZbaVpdoMrSsgbl6BkSKRkOnsrKW52Xx5SibBLfhpF4j+fNt95gHnCH9J9LH44bU4ftxkaEIqLtAkkHVwKeAJkfj0EwSeW8Mjj0BLCwSDduA5XrhcjXR3B5BzNBMZE5B3wTy/6esaWkHL2dmmEZFIJGXRWlVVZar7mJS/SehYdq8nXw8p4o2TNvmNAsAIPAMjSyUZ97RTrDtRwYWeMH/e/Hb651gS3041HaaBZwKJTuby2+mf41sWn59vcnsqGXmbwrGfyFOFHCnGWr7PhTxPF1dwmFtIjFTPaAUU+Ikso4oqLUmSI2OpftfKXSg7cq/7pjfPZs+6bUxobDSKaLNOirMP6tZCuAlil0N8YRFaiTTyQJdxOEqZPv1Sfr51Kd9/7F76+sYOzjIJamnjP7iHV9VL8x6Kv92fM+vUfBhWVPVRfdtm02AiPQDWNKOEw+eDcTLNmvLU1Hh5++0W+vvbTGWTUr//M5+Gv3+f5ecUupydbhohQlL+JjIIVUXmgWdCh864cU1dWW13LouSbhSQi8jIfhn3tGDNg4aEdNI8M1E6bQZr45toohkPIVxpuqAKLkJ4aKaJK6fNsPz8fJPbU8nI2xSOHXROFXIsc0roVPAG5bzBBdJ2Xl/4JKpUhtwr3sossowqqrSUvV8+J6UkrrS4NH3WbWOC12ukBE2KbJ19sPARGWprLVOGtWvfh973IwI0EqFqZJFKo4oIDfjxcg9uFK4RyDRH+0cfNGUDZTS92ISn3YMr7kLSJXRJp6dE4egVh5D+5lUo60SSNHRdRlGqCIUaaG72pgJgTTPiaZvTQ42phiSOX0Hu34z011s4vmA/UnkMTdZBlunrm8Wegxfz2EuX0vf374Ni63vudJazM2p++6OpZVHX9EoS4UYcf/Zy4shvUdVBht/9r9z4oZ/gcYPLacQ8um4sqYcUI+CMJ2Qa5tmdy6KIJiCS+6Xf06LdiTI6zshYGTcYVVLYzFrT1433Q0MOzbd8k1soPCNvUzh20DlVEOgGlYBi/QR1NzwLGzcy44oSjnSKyaVUCai0CzakjhF8F/VuzlbvOTE0KPaFUxG32wgofT4jQotERvWrqqoMAdQcxZFV/cfYONLkBaCWGdlRxQOqC/ZJIOngVF/FdXA9lZV38K1vPYjf7ycajaaWSisrKzlefByuHqndfWQT1VHzUopEu4eTv/s7PjdcR1+eoesMmmZNCdSYyp7lL3LBoe9TSwgnPUh7jMySSgUxPJy45ItcuetaPI946Bv8MTwBxAEdYzApAeYB7wJegqPHj7Lke0syzn1jY2Nee8Scy6IA0wKwtAVeCsKgG55+mM1VQahsA5OSABmorazFu8ruXBZFFsxWJvfLOE+q2OTfpSm43phm+lpSScGqrlQGaktK8NbUWH5+RiCcA7vB7MxiB51ThcZG2LFDbN+RNNFVVy3i1Vdbhd7SIKDSbrGim4GZ4Luod/P8E8f5j4efxrd6NUp5OSfj9uABmRkrNZom4lzpxNV4GzW/ubfwzv+0k6iWQesmqzrQOEr7/bS2Psgjj6j09JhMICRgD3yy9pOWASeAQ3cwazjOZznEMDIeFFyoSOjoSCg4CeGimRo0zR7aTocjG/6C59AtlNBpKs7vIsSsQ34OfnUbR391FE5YfNBR4CVAgzhx9rEv4+VAIEBLSwvBYNAy8My3LIqsGQHmKh/8fqMReP4gaPz7Ij8VF76Be8bbyMCMomKuW/x5/uU999h1ewVQKVgb79bjrP+/6zkaOzq6UQmBy5OzmUjSEyztDTHzD9Ws/4eDGbJMOtCXSKDpOi6HgwHNuBJkSaJUlrm0pIRr3O68zaPCjnt2g9kZxR6ZpwpeLzz4IJi40IxhJE10331P87vf1dLRkXt5++KLazK6SHMdgsWKLmAEnLW1jBF8z+eklMQ19Dbrtm3jBr+f+k2bGJjeL/S+8xk1ptJa30q8LW4qV6cEFCItEeqCdZaBp5mTyNLBMCUjr4eb8jUeacyapfGZz8DmzSYv60AUwkNhy4AziQP4MMdwmir+GT7tK4jwHb0Oe3g7dcqe+o5lwAlGSU4JHcg/+RYD/VlOUGVl0NRkyCC4XGnr2wqEQtDcDH19gFEL3vbGG/guuYSNs2ZlOkWMZNpFlkWRNZiXtiw66DYCUODipa1s2fJ/bJmcUyA5Yb2kIo7/mtyqZQz2sr/1SwR7j2aer8PNULUCSqpNA09ZTzC/t5N7/ukpGu/7Lm3t7WJhX08PA1sfZ3foVTp7D/NzXcLpLOXCCxeyYsW7x2TQhR337AazM4o9Kk8V3G5YsAAOHsy/70hEWFU1n1deaWPduo/y3HOvoygqiYTxEHI4ZGbMKOHjHxd3JDrVFV1XowsloGQGTWW90LTV6B5y9YCk0Ucvr8R0Kva28y8//REb/u7Dor/OeUvYF7YMOHvpZau2ldAbIeKXxHHOco5Z9iwrgxcDy/n+/kOEFOgZNj7qF8CVI0vqxz5Czk53MCSYPJ7c+7QPtAv9TdNzeBQ5gGrifKwvDNhNZGbkcwXzeqG0+9W89qMSOjP69mduLCuDTZugutpcd8vjgRUrYO3a0cATCESjmfIWgUBKhkB0WVQuPWEarOx7awY373gbmd9QWeq3pXEESZ+wfqRE5slLikhUD1oZxCGFfoLScxQtu84p0Qe71sKCJiPj6RydiFRHFW7eEcLb3IyvqYm2WbPEAs7eXrjtNujsZEjXGc2rDnDo0E5eeullfvTfP2LR3YtQUNDQMrOvOagqtRvMziR20HmeIPIgybX0YIjEX4CCh/Y3/x518UupJdhvNP6cR98YH/F1t7vwruIabw0nf/U2A4f6QXMYAeem26C602hbHyGBISeveGB55Flmxi8+7eOd7Ch+xTLgvI3b6KTTMAKIYvxvhOSy5w+b38Mtfz5E5wAZIcj/XgyqDwbySCulk8vX3QWsUztYxpeM+kEy6wcPszqlqpCv2MIB/BV2E1k2qhrjwAEfO3b4Wbo0ytKlGjo6itRHSNFpfqOcHYMSD35T5uTQ2N8vVgS+VeC/CKIlhmpVQj8EcQccTcB2jAynVcAJxvbqamO/tLT3mEKYNBkCrUZsuXO+FCZKDIXMYHJoSOPAT74A7Y0Qr2SHLvOg4yTLLinj3Sudtq6rBekT1qf6akisnQNNh8GjgEs1irZ1CRQnhFzoahh9nsW5SvTBodHzLWtQG4XgD8A9Unrv/6u/Qsu6bly9vXi3bqUxFKKypwdZ09BkmWhfH/5IBB+Y3umaptHd0c3On+yEvx7ZOOCCF/81dR2gy0YjQEnUkPq61odc3Gs3mJ1h7KDzPEDEXrKlBYIzL8KdVVOVxFgue4tiTlAx/AatBzalHvIiS7BnEqfbSeXPfkXnvQqElsDfPDsm4MzAAVQNcUvXjwExL+bzFavO/61sHQ04TdA0jba2Nm77Zied72LMXuHVsKyAgBOslVNcGCL1tfTj4HWT10PMwk8ro9dkPuaUiSkeTBVUNUZraz19fW0sXDh2kPDosOJiWLsL+hKg67MzXo8VQf0aaJsJWsbq40i5zjxgMbDw4vzOAiZpb9NQZUSGQK4RW+4s0ofZgI87yZrVxuaDfx3pF+swsPMEvLzT1nW1In3CGsINfdNgc47Vg9u7hD63ZAj+MQje7aMBJ7JMNKuD1NXbS/C226jt7MRh0gHfANyAYZZsOcVMLp4MuOCRIERrMR20jjbA/huouevv7AazM0xBxQuDg4PcddddVFdXU1paSkNDA3/4wx/yvu/48ePcfffdvPe976WiogJZlnnxxRdP+aBtMhGxl2xrA1/i63k/K1mrtYDmtA+AeFucsC88Pgd8CvTq/wtrN8F374Drn7MOOJM4YFHZQO59pgBWnf8hQnmtTjVN4/C+uOleCyspKOAEa+UUL2DxKAAsrsk8yIIe3FOFcNhHPN5mKfDukKC6CJrmGv9OZO3nW2UWcKYhA5WA9kexA8pKe1s+iCIRKkvFZC9m9UMjJnI32nSsrq50XVebTNInrD0i+ansZXULLhouZuPRy3AvWASXXQYrV8K6dWhZneferVstA04wzmgtsCHXl8VH/v9Fr3XAmfy0rlqu79xhl12cYQoKOm+99Vbuv/9+mpqaePDBB3E4HFx//fX8+c9/zvm+ffv2cd9993Hs2DGWLl0KgCRqkmuTFxF7SU2DgPMaKC7O+3kSOi5CWR9gZDzPFYVY3CWpKjKX35hKWHX+9yAmhTXUa35huU4h4W0lm9pI/vg1eU3mC5RT+wsqHkwVFMWPRT4xhcMBngFgALpKMn8//0U5As4kMjDYJnZAWeO/ZRWdptE4r9FM+SjzqzVoaIeqMQv1GvkKMmxdV3PSJ6xa3qIWjOVqAeT5NbB3L+zfb/z/n/4EGzciZ2XIG0Mhy4AziQNj/LA+ppH/bxcYZXQHu1/O/3y0OT2Eg86dO3fy05/+lHvvvZdvf/vbfP7zn+d//ud/WLBgAXfeeWfO91511VVEo1H27dvHunXrTvugbTIRtZeMxJxw0UVC+04zWbBQI+duyTJpcVcIswQzJOczVp3/wrIgFmN+oXPGRMJoXDZD9CxNI8YQQ0L7OqucxGIx1q9fz8qVK1myZAmLFy9myZIlrFy5kvXr1xOLxQS/efIjOmlzlQIvwjNLIhmBRrTE+j0ZaL1i+6UFEzLGUqkpsox3lZf5XdMsA89kfaB3O8gZ13UCZAG1DmxdVzPSJ26yyGQvLnYnWzXqZMsyVfYIakTnejH5Jwgem30dnHmE8xXbtm3D6XSyZs2a1LaioiI+97nP8fWvf52Ojg7mzp1r+t7ycrE6LJtTQ9ReUtMQjhYkk6BEVKT9TJC0uCsEh2yXLJt2/iMuC2KsSIw97wU4pAIyJ086eOIJ1fSzRM9sDwq/4Td8lI/mllaSoXhZMfX19bS1tZlatIroQ55PiE7aJAloh298RuXDb0hc3CXjQEMTnWRYeGePYSTtLWMskVpW0VVV4S5284vHavhxwxsE5kGk1GhiknWo6jcynMn6wGPITL+wjaHpx4zmkH1/C135rVhFx9CpRPqEtQKB83q00ZCtypGWlrF2gkq6DiXfLQuelJzjR3KyJJiFta+DM4/wU3n37t0sWrRoTABZX18PwJ49eyyDTpszS2H2kmI76yb7ncslS6ez8Kyl02lLX9R4a4i0RMbIJlVQIfT+6RVOhhmbLVIEYwuHo4I5c9awdOkdrFnzIIFAgEgkknKlqaqqYsbevULp+i5iPMqj1FNPNRYi8jKU1Jawla2WASeMNkr5fL6C/L0nK6KTNl0H4qAUQ90XdTY8cAuNA28wrAdBIMssqxpaIpG7mSiRoPLQIZZgZDi9gGnYn+YUIfMONv7+jbzfP1hRxVXfWs2OoyNGGG98JO97kl9lk0n6hNVDjBCuHGJlIG3fgPtdLSiyuZC/jJzTCSrbdUgTPCk548R5yYMTDGBHvjK3oYaLGu/4qLlMRYR/tWPHjjFnzpwx25PbOjs7x++obMQY0Umq7FgNLM27e1nZm2jTXUJh5zBj9W2cVefuJnO5GlGUAPnq0kaRcbls6Qun20ldsM4YQAMKasQYQK84eQV7o3tzLrPLssziK/+KPewZs1dIAY/LaECxRmbOnDUsXGgEdZbB3cqVQm5ZEaCPPm6XbudL7i9x4+Ib0WP66AOhyomrwXggfOX6r1gGnEk0TSMwRYr5RCdtikIqGa0Uw53v+DwcXQnxlUD+c1Q/fzHR8vLcdoXl5QS9Xty/+Y2wU0R0USOJ1gCOHNdrApmuRQ00zoPA0YBxbZeIlRUIuPhOOdInrKu1w/iZRQclpoGnjM4l89w8/09BHtzjI9AeINIfQUNDRqaqtIqGeQ059VHdTifBujp84TABRSE+YwYcOZL3OE1XxCVgJnDtyL8LuA7Gw1DDxhrhXywej1NUVDRme/FIY0o8Hh/zms0ZJE0nqVGbTYC/Qsux5ChJCWprn+K48wBzXpKRcjyQDUvBLCVvGVwNOYQWzzA1NV4ikRbi8TbyB54yJSW11NTY0hdgBJ4LN2ZKnTwce5hgfdAyGyjLMrW1tfzi4V9x3U/fx6GutoxfvfkwrKiC6hKrwLOAcyDgj5oADlRWsnLJEhoaGrjLe1fOZfGoYKFzZIoUcblcjXR17ciXgDTqbtPP57yAIScjuHR6zUWNeNMCh8iIlaEsSV/x2oQAACAASURBVFQ5nTS4XKN2hQU4RSx72suRhS3MH24zDTwTyByZVsuyp70suwBa9rcY1pnz/Mbx5xgbzax3pzLpDmQ8HsERGcLVr/P9t6pp/vHXCL1+DYpWjFQsM33WNGZdINHQII2cLjcbP3jqKwdup5ONC0fGqg98AF57Le+4cHCWgwVlDnRdxuks5R0XXML+koPE3hVDLx6ZQRVwHeQy1AAy1Fyyx1Wb/AgHnSUlJQwODo7ZPjAwkHr9TPHlL3+ZGTNmZGy7+eabufnmm8/Yd0540nSSvPho4QbaqDUNPCUpwdy5bTQ1+Wijh1k73Ew/opjezDoSceZymKbRjSNLljXemjP4B+XG6XRTVxccGQwDDAwco7e3g+SS3/CwRG+vg3i8mERiETfe+LRtd5cDt9tNMBjE5/OZLnk3NDSkbOReXtOKb/vY7MVjb7n59EUqS2c40bUYuq4hSTJOZ1VhloMC/qiO2lo+GwzyWcH6y3xZzkL3m+zU1HjZs+d7zJw5YBp4JhLQ2Wk4VCY7u2Rkav72CbS3vkx4uxcWtxge5yaBZ/rSaUbgkIsCnCLc891wMMj/fszHzAMBygcjSLqGLsn0FlXRtaiBZU97jf2A4BeC+Lb7+FPV79l18BMMn7zI1MPRynp3qpLUc82Y3Jcb/yu9IMwXv/1RSkpqqasLnvnxVXBcuDUY5NascSE2EMsYs4ZvfJIjgtdB2/XmhhoZnGM1l3PNk08+yZNPPpmxrbu7W+i9kq6LtQR84AMfoLOzk9dfzxRvfv755/nABz7Ar3/9az784fy2g9u2beOTn/wkL7zwAqtWrcq5765du6irq6O1tZXly5eLHObUIWtJMoYLHxsI0EiEqpGwQMNdGmHBR/w0Nd1Deblxk8yQ3sWVv74mI8Og6xIDfeXEWEJH2T+gSmVjliwnylJCLBbL2SSSzNJNlSaRJDFVxRcO41cUomkZpkqnk8b0DNNEJGmpVYg/ag6WLFnCvn3mRgjpXHbZZezdu/d0jnzScPfd/4SiPMSSJTks0fuh8r2VLPnMktRyKINufD7408sx3pjto78qgFYUQXZqlBbLXHpRFdcsyL10ei4Z50vrvObAgX+is/OhPHvJzJu3LlU2c0YZx5Mn+lE7l+ykf19/3s8rvayUq/defbp/4XmDaLwm/ARatmwZL7zwAj09PVRUjDYhvPTSSwBceeWVp3G4NgWTtXzoRmEjY6Wr+mZBcG3mtl7HG6j3/i5jpiphNPqVAJleJBMPn89nN4lkEVNV6ltbLWvpAopCSyRCsK5uYgaep+KPmoPKSkH5lilUzPe1r91Dff3v+P73rSdrly6sJfh01mStOHlq3JDt9jMJGOdL67xlYOAInZ2bUv/WkIjhJspM9rOYX/JRBimhAoVlJ2I8VKOe+bFkHE+e6EeJqrScSzWXyYzwFfOJT3yCjRs38sgjj/DP//zPgOFQtGXLFhoaGlKd68ePH6e7u5uFCxfinIgPt/MFwWVBs6Y9VY3S2lp/dpZIzgB+v7/gJpHzvRvRFw5bBpxgrBa1xeN89fW/sOunT3Cg38+gHEWXNCRdpkirZFFpI09/2cv8CybXNZFeg6aqUXRd4+67T3L4MLz++kgGr2/s+2RZpmEKFfMVUlJhM7VQ1RjB4BUYVZIGMjoz6WYm3dQQ5p28xlo2cYQF7B1K8FJr68SdxJ4GoiottgHFqSF8tVx99dXcdNNNfO1rX+PEiRPU1tby+OOPc+TIEbZs2ZLa7+6772br1q2Ew2Hmz5+f2n7PPfcApJbnt27dyvbt2wHYsCGnkZWNGYJyElbyZPF4G+Gw7+wskYwzhTaJ5OtG7NrRxb4f7WPFKyuonD+5BOWTS0aPvFNBW5B7X03t5Ye/Xo0+rQNmZv4QQ0CrFmDht1s4eFdw0gSepjVoQEUFXH45LFkCK1bA2rWZgWeyBMM7xYr53G73lMn+24gTDvtIJKxr8hzoVNNBE81sZi0aDtricXzhsFj97iTCylAjm1eHXmXdo+tonNc4YUtLJiIFTVG2bt2K1+ulubmZrq4urrjiCp555hmuueaa1D6SJJlaXH7jG99AkiR0XUeSJB599NHU/nbQeQqYLB/GAB/gB6IYj2D9OEz/Eng8sHo1jMqsaiMSRJOPQptE8nUjOnBQ0l3Cxis2clc4d1f0RCJNwADtUQHhzMNb0RMd1h3IssZweRsfe8DHy9+aHIFJ0lPc6uQ6HFBdDf/n/1SybdssO6uXxvmc/Z/U9c3jTLKpxt/uJ9ofTTUCVpZWpgImwyY1Nw50PGn2yBpG2c75hpWhRjoJErRe2MqOozsIHA3Qsr+F4BeCduApQEF3XVFREffddx/33Xef5T5btmzJyHwmmSpdomeNLJmZGFAPjHn8DgGvG40Cfj9s2jQaeKrq5JSLkQWzvMn9FH/+bkQHDuZ0z5lUdaBpAgYgCdQXKSHy/hCyxoH+yTMZEfUU//jHl/Bv//ans3NQk4DzWYtw0tc3jyOxgRj1P6g35KOyf40IqYDp8Xqxz3Nl2SNH1HNnjXymsDLUSJIgQWdlJ83XNgOGpXBbtA3fdt9pyUVNFc7vO+58JktOwodJwJmGrkNHh1HftnZtctvknAgU2iSiRsUGRheuSSUW7venlfbqAvVFw2JexoPy5JmMqGqU3l4XW7d6CYUa6empRNNkZFmjoiKKx+Nn9WofpaWT5286G5zPWoSi9c3n49JwNr7tPvOAc4RkwBSJuykXGEKy7ZG1wvxwzxki2d5kljLbUONg20EGhgfQJR2lRCE0L0Tztc30FY/W62hoBNonz7PjXGIHnZMVtztDXNm/axdaHoF+XR8Rfx7hVPzMJwKNjY0EAoGc2fP0JhHRLkMJaVKJhWeUtioit7LYJEMXtIybCPT0lHLbbUE6O2vRTfT3QqEG/P4beOyx81vTN1nb6/cb10VSDqay0lgUyVaWEcn+T1YtQn+af7cV5+vScDb/e3RHTtcxMAKm/uEByqfn/7xse2TZpJRuohEbiLH8kas41HWIMRd9BHYcDfDLfb+idc3LGYFncrL1mYc+w75Ifvm1SP/keXacS+ygczKTpgERXbIEBHQJ08fZyepN7vV6aWlpyavTmWwSEe0y1NEnVRlIxqGGXOBRchluADJlA2U0vdiEp92DK+5C0qUxM/hhq+6zCcijj95uGXAC6LqDjo5atmy5neuuO8sHd5bIqO01uXwDAWNRJBgcDTxFs/9qZPItn0YFl3zPx6XhdGKqyu4uw566zAFNCwzrWpczTaNVNSxte1WdCwSCTiXLHrlqEpQnbHjhm+YBZwqNtq5DbHjhm3z3Q98xeVWwh0DYonlqM/GvmCmKmQyM4fZSicvVOMbtRby5Jvlfk9ebvFDpF9FuRAVFuF50IpBxqM01sCIC1XHTwFMGSuMX8vAj91AdrcZhspPnqIcV+1fw1U8+doaOePx57bWrLAPOJLru4LXX6s7SEZ19Mmp7TdA043Wfb1Sn8HzWIhRd8jXbr5Bl2ImMGlPZ9pU9zJyRoG8mbFpubVnrccFAYghjlMhhOZmA0O8Ow7NGZ6q0ejUN8+adsb9hvHiq7Y+IpPWfbnuB75q8ImPyTBgAXgTagTigQ9gZZuWTK2lsbJzyTYq5sIPOCYiVDEwSRQkQibRk6GyKN9dAIiFz8mQt69Z5KS01X36b6BQi/eJqdNG1o8s00EqSIEGI0KQSC88obe1zwto6aAobGU+XajQX6RIVupM117hw/Pp2WqKr2MsMenCiISGjU4GKhxirOUx1tJrbdn36XP1JBdPbe6HQfj09E93y4NTJqO21QNPgySdH7/PzUYswWWJw9Pce6JZBk0DWoUIFTwxWH4byNB3KrKXh7Kab7OygrO7g2RceZOGsZcyc8W5xm9ezTLJJrKYtTvFamY8tsA44wdhe7NBwOmegqgpmz5yUTerDPdBndKY6AwHu2L37zP4x40C0/22h/SL9J0y3V5ZWQvrK+QDwCIZETBpDDLHjrR0EAgFaWlqmnCOeKHbQOQHJJwMD2hidTdHmGoejgm3b1tDc7KWvz7ghzJbfJgOiWYkabw37frSPku4S08AzQYJOOmmmmcsGLiMWi02KwSJLwMAIPDdnNkbIMqxZB94b4fLX5tFBETpjnz4hXPiZxSZamfuqxuLFi5FlmcrKygk9c3c4ZhW8XywWw+fz4ff7iUajqSz5RP9brRCUraWzU6e+XiIYFM/+O6smxyMis8SggjECcq9r8Atg4XR45xJYvZoqV+ZScXrTTZnDKjs4TF/vTvp6Xx4z8Z8oJJvEHBqUDpTicVkHnEkcEpSULMbtvgZFCdDRsZfu7iialmWTmuyd0XUSHR08+O//PuHVPhKCDbNW+zXOayRwNDC6fP4iYwLOdKaiI14hTI4RZYohIgOTrbMp0lwDMm++uYbNmzNvBLPlt4lALq295cUSz/7hk4S7DuWUAgl+wZhtrnhlBRuv2Mic7jm4cCEhoaOjoBAiRDPN9NHH7t27qa+vnxSz1CwBgzHIMtTWGvv5fNA5aB5wAuhIdFBCMwu4fuAQBw4cSL0W2LGDll/+kmBr64T7TRyO3Evr2fvFYjHq6+st64EnY5ZCvAxZoq1Nx+eTuE1AixAZXA2uHDtMHDJLDCwE5FRgH7D/dfD7WdbSkvEZ/nZ/aixpypMdNJv4TxSSTWK9Rb20z2rHJfiUTyRiqb/ln/5pJTt27Mi5f7br24RFtNnJYj/vKi8t+1tGVQDa83/UpPltzgF20DkBUVXraVS6PEw0eiHHjg0hSeB0+nA6VzM09P8BR0zeKQO1gLkDi6YZWbOJQj6tvR27H4YcxeHZ2mmV8yu5K3wX1113Ha2trZbfO5lmqVkCBkQio13LVVXQ0DC6nOr3G17KudCRCOHiw1n7aWD8Jhs2sPG7ZlVP5w6zBH8ZKk2E8aDgQkVCh/0DPO4K82bJmxx/+ziaRVZjMp1/MO6Tk6oGCHSBAJomEQjAvb/Jo0UoJYjPiVP51cnh0JVZYpBHQE7XR9aKm2HZstTmaP/ouCuSHZyoBhvJJrGtq7bSV9QnHHOlS+gV6vo2kXE4yxBpGXM4y023u4vdBL8QxLfdR6A9QHAoyBBDeT9vMvw25wI76JyAWOln9va6TOVhdB2GhwHeiSy3sWzZTfT17UstGx4+XEU83gB4KSuDpqb1eDx+XK4okqSh6zKKUsnx442o6sSoU8qntScidJ7SThsp9nL7/RSla0ZZvW8SzVLTBAxyIroEqzANnbENFhoQePppmGBBZ3aJQRkqm2ilmnhmIYUO9CxgXs88aqllLWvpw8SQnclz/pMTs2jJZYgGnWBMTpxuJ5f+76VsvHkjcw7OMVUyeOLaJ5j9s9mTwmkl8/oWWCnSNHbv3Jm5Ke09otnBiWiwkWz+Cl0UQpd1RKU0pbSmsUJd3yYqakzlH5/7LBfvLccVrzBV6zD0NiUq3NY+wu5id0r4ffG3F3PgrQOW+yaZ6L/NucIOOicgVvqZW7d6c8rDgISmOYBfsHfv6NbFi+HAASgri7FpUz3V1W04HGNviMs9Af781M8o/34z7uVzz6kNXl6tPUGh80jviQw9GcHY67ybpYqOfxoSCub6hZGurnE8ovEhu8SgifDYgDMNBw6qqaaJJjaz2fJzJ8P5T07M8MSQQuV5u/iTJK+Fb73yLe6/9n60a60vjr5o36RwWsm8vsXu8mB7Oyt37UrZYqZ3KYtmB0/0vUVsIDahgvJk81dPiTFGKoLKUM7XjhoNV253wa5vE5H/x967x0dR3n3/75ndHDYJu2SDQMIpGI4rHgBjE6Lirf56sLdaua2WtkGfVqlp1d60SFslctdw99c+Ym1BBdHWStraA4JSa6tFq2iTQCBQ0eUYSCAnhGyym9Mm2Z15/pjdzR5mdidHouzH174kszM718x1zVyf63v4fP0JVf95/CpEFRk4v1pH0fJv05Fu4focfWWZPg335nwiTjpHIYxGdZeW3Z6vY2IROBq2CPOP/cLCEk3CCSAYJORxdbTNfoa2J75F8ytnWbgv97wQz9haezpX4ufOQbUTj0miphC+b4MEc5BOnVqQPKNzldpfGa1g6H3/CcjYUbcGS6NQ1zA8xGBe2VkMMSw7BgzYsEXdZzT2fzgCC7NltRjLzfTWWSBGCAX0jYXgGEYtfFIqrYSOb3191+P1UuZyBcpipqdmgk8EXK910NHZQu5zuaPKGuxPEpN8RR7sLh3hAl4w73fDESWw32q1YkYJxsoHrPQJKjlQbMklMKrVPvwJVWqEE3wL0JYsCqseY8dDKfww86Su3+1vRbw4QhEnnaMQZnO+L1Yo9OXZ1qZvsHd3h/7tf0ZstnJNwhmAQQabHRDpqu6kZvVRZmyIPkEPJfzEqrPrM8BFUfYMepGoaKYhACY4N95Fc7LE8Y3QlQUzVDi7zQaLFinlQf3Ec7StUgcioxUMne9JkmmnlFLV70bXHemDBSfrKAG5nPflb+FhasxjzERPkBlt/a+Gs0pMDaR56d14EO7OhebkmMf558LgGMZo+Njdwcrjx1UT+vxWwvNdwzx0fOvsO18f+8tizp/yNcRT7yIh6bYOmgzQ5Dw+qqzB5nwzDQddOOcthYlTeDbBzCuyQAIyZsGFDTvLKCXNF17ilaCrYRzWLd1whbLA+I8FC3ihrIwc1OtN5AG3AFuCYmJHG/RU3TLIBq5tmMztaWu59OJdeJwepfxluQuPw4MsyQiigNFqxJxvJrs4u98V8eIIRZx0jkJkZxfT3LwjgmBIkr6Xafgq3R/3ZjbrdC6b/e5VA65th2GESGcosfo1tBtgyzSwW6DNCJKAiJcpXfW0T1lB83WPQlkbVIFWpLjjtJcrLbDBDGkaRmKDAbKyoLAQNvk8rqNtlRpTRqvdRNczN7Kn+i2MnZORJRlJgMZULx/Z4FTWVBAnKdqFmvBykpfwaMQ6jpbqI8FSWT3NZ/nz4zVMOdeLQYYEvqUraUCIYRHMqK1V4lKi1ZI8zzjbE5TMkOaF6z+GrVNA1r42UfSSl6c8CLoqqPSmcPzv43ni0Txoa+vzY4sijBlD2TXXsP3++6lavPi8Es/Q2F6dK6wgySQJMI69jBxrDtWOauwuSVcyUUYSPL1A5jf17w+06UODoDqo6e0S336mhLasz4FoQAaagna1yzZ2yYtY01WEx9OBvS6L3/3gIBM7zlH58dewAKuBBLQLnBlQ0lJXD+9VDRgej5POpnpgTMx9p3Qmk3flLuhIZV/uPs3kOleFi+Ydzfxo54/6VREvjlCMjlkkjhAYjRYWLqz0uVIr8HiaOXGiGq9XX8xWeDySP+5NFHW6DINqb3taRs6lGkysUtrdcN9CaDCFTKISUMscaB4PH/wCpNixnadcUPp7xZKpBYNBsXjC6FylBstoGdph2haw2MHYBoJXQD5jxuPZhZNz1LIML0omphVYtB+yM49TNNFMR+MYDVLiBarxsEb1/CKQl54+HJfWL4QLeD/+Bkw52zc5CipJUGqQMyfCT19UjbEQgbyuLkLiVEahmG132OpSWFaNUJ6OVJ8KKi5FQfAydaqD4mLFg6BaaSUYbuBXRuSzb6p/39wMr7zCiT17WP3aa2w4j1av0NjefCDSUxQCQeh74H1weCU+99lX2FZ/mC0eD6/K3RiRVK2DfoiCIq2Ul3Zs6C9KB5xOJyWrV1P+/PM43G4k4NzYsTh++t/K9S1bBmmhWdmyYOAMWXzbUQjHN0P5Uuiw0oGFkrP3sQ5IrqqKeW4DYBiF4vB+44Wnpxg9pDPBOB6j0cLxkuOahBMACbqqu2hZ39KvinhxhCJOOkcpjEZLiP7bihUFNDaO13VsUlLo3/64t127dLqdgiYs2TNysW3BxEracjE0JEex2vwEpNO6fleSFU4RC2bz6F2l+mW0DO2w8D4wNSgFhxTIQCPQiBk74yhnHxsDxNMgQ1YjFN66n02J05U67a6Evootqd1w+k/Q/kPQSCLKAYqXLBnmq4yNYAFvgPy6UGuMUaP94XBlJMLUIDe8L8ZCKCoip6MjUlhsFIrZymF/yWkC8sYDUDotqI/BKHqYaf6IS20VrF//5QBnjqi0Eo53gbM67mdDA9t+/nM2lKqHZYwEgmN733+/mKqqHfT2angGBAEmTVJcG0Gocbt5prELSbRCInQGfWfHRjmL2EhRBPE0CDA9pZORRkBz9tix0KtsbVU+druiJbVxYwTxRDDAGBu0ZMMuZbRLGKjovkL5Xq/cxShMuAsYL3QaWfyJV3rc8UiKxXOGZcYnQlJtNCJOOj8hyM/Pp6zsCHAl0ZMFZGbNivzeYoFJk6y49MzJrj63k17L0VAgWJ9UtKepWmv6oEdAvw96rjslJZn587+DwVBMXp4loHk5GryrfhmtaVvCCWcoBGRM1DONUk7QZ9o1yGA7LsOGE+oHtk+G0s8pE5XLBZ4u6DkLJhibAZWui7GsXTvUl9VvhCe/WLtCvzdjx4UNbccgeAWwh0eM+GIsFhQW8tamTah28ygTszUJAu7AX75nPs0LRaF97MXLpWyliM20tTUwYYIyWUZUWgmHDhFsP1o++KBfbR8O9MmHWXA6+yxRlXV19Hi9ysNsNisLjMLCCCLWGyV7SMZAPVmUUkiRiupBWqxY+WFASUmJ4uLV2kGWob5eseCruXkSzHDsJujuG+3N+MKKdMtdjL6Eu4DxYoy+Bai/6pZf3zQWPM2jL6Hyk4Q46fyEoLi4mJdfvpmamp0o0TZqxFMmIQG2bVP/Da0EpRCEzchGo3p833AgWJ+0s21sjL31ih8p0PNu9Hiy2b9/neq+59u76pfRsti1CWdgX2TMKhno5mjv4LS00Impoxb23g3ARK8Vy/erRoVbOTz5RQy7F9mU0swiushCjXh6BWiYBKWFEV+BwUCyzaZOOP04T5Ydtepc7TonfBkDdmyEi5lHVFoJR1fkJi14nE79O48ALBZLwBJVUFVFma7VdnT03cdIGM5D4ll5eXlslQU5iptHECAz1D0uJaco/9B7PaMw4S5gvLDZlbksmuJLUNUtWdIZmhNjv8GojFwIiJPOTwgsFgsHDvyFhx76Gb///X/R1TUFSVL86EpFIolLLjHw6qsJIV7DYGglKAUQMSN7Mac3Dsv1qCFYnzR20lT/Vth63o3nzmVoktPz7V31y2gZ9cmTkqDiZhb6c8uCAoMzsueOCsIJkckv4XlRRjpYSBE1FOLChgczMgI9BgMH5k7CblOGd4d68RGazdGz2s+HZSdWdS49cPmy9YPFzMMrrTR3NiMhISKSkZKBPclOCzq1WfVqDJ0H5JvNVMTS/dUJl4bqQbIxZQh+vX/QWzVI080jy5ASuogSx/ksnXrlLkZZwiVAW1svzz4LJw6WstKwiIs8WRjUPB+iF1NOGtnF2UCfmz0Wou03WJWRCwFx0vkJgsViYfPmYjZvHtjxwQlKzgN/oL1DQhYMihvbZSZ0RvZiooHsJSNn6QzWJ42d9NS/FXYsLuH1itjt0ZOHzqd31W+lFnSSHkHlhRc1WiFiZ4VEiIjkTR4dSVUepwfPx54QA6bDFLmfkQ5mhLlA911yGQ/+8pcxzyHFUgU/D5admNW5dMBfAjW82llwpZVwzH18rm7SaRyh+6JH0iZcV7g4O5sdzc2a91AEDIIQ1b3uh1Yp2YnmmQO4msFBt5as1n4eV8RKNGO87+EKL/WlBlFUau2OInz44Yd84QvVvgp9HXyVu7BgIZ10ZjObW7mVMUYTE2a6SF7QxMKnfxwYL35901jwu+PVEFNlBImurmpqakpCcjYuJMRJ5wWGQILSRcV4FlxLzYkCXMwNWIQEmjGk2pELf4+w4BhV8yYh794+bO6BYPmbJudhenqVSeCsGGsVr78mtCiKXHaZGSVJRn3aOXcuh9LS2MlD5ytu3m+llkV9WbKyCil3xSDeIfC4EBHJseZQfO35T6ryVxcxXWMiWIazfDLknY4WwQmIIv++9FJd5xFjEY/zYNmJWZ1LB0RfbLZWtTM16BXBBkgfgfviHwOxJG0WVi4MIZ4Wo5HKhQspqamhwuWiOUhrNMNoJM9sZkdzM8e6YscTiKox7iLpY68exJUNDLq1ZNX2k71KKeGglWgIhwwv9aX2mzk5yn6jBKdOneLyyy8Paa6MTKvvv5Oc5O/8HTxwx6Xwg+8VhIwTc74ZV0WMZKIgd7wagpNhtREa5nKhIU46L1RYLBirdjGjpAQq/qiwKUnCkyKz75HTdFndCvvrDiU5Q+keCJe/CUFmOdTkoU0ndMii+JCTk8P69TtpaVkfkKDqi7PJwGzO47vfLaajI/b1jKR3NTI2SMZjNqIpShqE3jA3oGryjBZkL6ldtdyXv4Lia4tHttJKkN4gDgf+bK5eVwqZDTnMy56JfbJSUxqgZDHccgRyHBojxTc5/uHee3W5gDOixf6dJ8tOSHWucO3aRw7BrPaYv2H2hVsYjfrJoZK8WKZr3yXXXqv7dwcKf4WZWJI2NSU1zFg3I+Qri9HIuhkzNA5UiL0e0mmOCFsRMZlyyM4eefKle1EQ7uaRvdDVALWl0Klkq0dwyPBSX775AVFUFl55eaNOt3bJkiW6rb92O5jNoc9ydnE2zTuatceYCKYcU8Adr4bgZNhoCA5zudAQJ50XMvrSPQOoOb6Srronoxw0dO6BcPmbECwugSO3gEO9JobAwxjZipdazTkoOTmZe+65h7Vr12KxWMjI0G5vsM52NIyUd1UrNsg5F8wfRU8mkhF8GdwKVJNnZFm9wLTsJaHnHPb/fJipafotXUMCpxNyc1WtKyZgCvt5clcm/5qdSb21EVmUcSVD7nJY/a4in5TRCUliAtPSszFcND4wOV529ixv1dVFN2J4veRF09Yym+HBB4fkUvsDyU+W2w2R2rX7x0JOe1RTr4AXG0qVsfCJNhqKi4vZvn07J05oLY3gdwAAIABJREFUKB74kH3xxaxdo67vOpToj6RNf6En7lPEy+XGJkwJs0IWrOcrMURPZRwEAWZOhs5TyjPvcSkWztpS6O1ibMdnuKRAg0OqzA+jGUfD6z9HQVtbQsRCwWgxsrByoRK+UeHC0xwUvpFhxJynHr4RjPDwlcHu92lEnHSOEJxOJyUlJZSXl+NwOAJislarlfz8/FEjJjuS7oGotZ+TXbA8F95dDXX50JUBsogoSUxtbybPW85yuYXfCyL7ZZlmwJOYiGnyZMZPnNhvgd7RFjevFRtUuwzGlYOpXp14yoh0J0zi46nLSTKaaEzz8tFc2PZ/DExKBVEQSBPgtKuBjh4nPUISsqD8VpLsZlaCl20Ft4084QTFqqLlzgNcjGFd9wrGPf1FnCYz3cYeJNGLO7mFkgn7mXztCyzw5PD0b57GEGadLU5NjRnXl5OURPGOHdrtc7ngxhuhshInFjWD7LDIa4n+xcGWaRHFEijNhkXNkNWlSjwFvEyigUJ+12+LnMVioaqqitWrV7Nt2zZaWlrw+KyuRqOR9PR0lixZEljUDTeGU9JGT9xnjimNpxf+GIvxf/v9+8OB4uLiqJVxAEiXYfbfofLvEV/lZOSw78VHscSunBpAcDiUo9MRSDyzpljJn5w/8p6RIHSH13+OgsTEaaoLBaPFGGEl7w/0hq/0J8zl04Y46RwBBER8NV4OFRUV7Nixg8rKSiwWy3l9sEfSPRCz9nOyCz63KmSTBNT4Pgcy5nDo/kODbgfoi5sHOHkSVq4cWlKhtiBZteo0OTmRjfGmwb6NMK0UzHZIbjeRnDgl4PYS8vJILi7myqDGLYFIsXPVdii8b+ma4SdSqigv1+wAJ2ZyqaSaHCTZEKrcDfQ2XUnbv7/O/8mxqz4beuL6ip9/HktTU8SxAfgkDNyrS8h9Y50mPx5qeS2rv7yk3RJZLKHDCEULobAGcV4L5ilNJJvcJCV6sQjtXCqe5F5TBZMsywdkkbNYLGzYsIENGzZo7uN0Ks/EcBPwWFI17RjYwjQO16TTO7d/7dA1PkZBjfnwuUH+jszY5rH0unpJaEog/cN0ErwJZGRkMP/K+bAY9rfsj1AmyJuc1+95JGo4VDNUnK5gx5EdVN5bOfzEUyUMZ1JPDyd1Hm4wDE8/BifDRt9v9GX9jxTipHMEEBDx9c9QScC1wBTABJIgcUw+hm2djSX5S3j92OvUtNaclwd7JN0Dumo/R0CApPEwdw01xgRWHj8+JJPB/fc78XhKyMkpx2x2IAgSsiziclmx2/MpLVViPhsa4Mknh45UaC1Iol2ONw1O+CQ1U5Imc1X+kcE1gqiebWCEdEqjSMCUUKwQTg0/soxAPSZeaJnEDRq/ESuuj/fei73qkCQat1VQ3aS961DKazmd0L3fDNkuJYZTDR1G2DQDCWgF5syBQ4Nci+nNEh/JcRNNqqYdA/exkAZMyG4BDve/HTHHx3mEx+nhYMlBbhVvpd5UjxSs7mEA0kFMF8koyKDi3ophmRuihkOhvM+rHdWU7CrRVEQYEmgMuqQoh4QjY5hcVrq0sPsZ5vJpQ5x0jgBCRHyTgOVAOhGqPw008FTlU4G/Uw1QOA1sZjAblfAcWZZo8xxj6/s3cNd1bw15LNFIugdi1n5WhQzdH8O5d3DnFPFkXR07mpupXLhwwMTT4XCye3cuN99cjUGlsojNVsGiRTsoKqqko8MypKQiYkHiQyzlHj/k2hqwOQc9o8fwbI+MTmkUwldOvibh9ENG4MPe2LWWNaFT91BwNOvhpoOW1/LPrcebsuHp5khRUmUvoASlQpcDkKiuFikoGHjYjt4s8Znll/PZVV0cqx6r0bahHTfRJG22ME0hnBqSRudbZ3cw8PfHE9OfoC6vLpBEF47hJn1Rw6GC2rDz9Z0cf/M42Q9aMa7/ydCbwDVeVv0JCMobpoTAmFrY5zHxbLQgTjpHACEivteiSjjDYRRg4wLIMim1fcPhlfdRufdKcq/cOyDi6fdOvPceHD8OnZ3KM2y1/p3ExE7GjHFgs5WzbFkJaWmRgflD4R4Ir/2c6k4lrSuNM+lnYhwpk33kLRwTCnGlpVHd1UVJTc2ArRTbt5eQna1OOAEMBomsrGoKC0vYtEl5mQ+VZqdWVRG9Wtvu7nHsuXgXxjmTNHUK9bVDl5FveHVKo2RpObBCqgcKa8DmArNHCUSVBXAZlVrjpdm0JSQO/Px6K/x49e03WHkt/9wqSz4XekL4eZ1ALhA6wfX2QllZZNiOHjidTrbesJXsY9nqgtoQyBJfe98/2ffP10Gqwk94lRebFUVdohiwDGrcBIeeNB1uooceRETGMAYbNpaxjDTSsGPRJJyBZp9Hnd3BwJ+1b7/Grkk4/ZCQqKgbnouMGQ7lQ4unhboNddT+8j3+6lnPbnojR0dZGcXbt2OpGkClM42XlV49k6SkJIqHUeopPf1zeL3b8HhakGUlvlgQDBiNVsaNW8LFF6+9YIXhIU46RwQhpGIKunTNxyVqE05Qtne6T3D0xI+xzfq5rnb444Heqyln/2EHvb0S5Iowzwqn82FXMU1N0wL72+15lJffwsaNuWHEc2jcA8G1n1PdqWzcvJFHlj6i69ikzmYqi4rI3bgRV1oaFf0tcxcUE2T76n66Y9RONhgkbLbQl/lQaHZqVRXRezlHXNNY77gWW5mTZeW1qjqF+tqhb7+h1CmNCMs6+TdEurDiIJ9yiinB4pOo+XbqL/juxruQs3rUM7VtLiWh5vEFA26PV5Zj2FIVSDot9IOV1wqZWzvU+rOEcMIZen6J6upqSkpKAiUho8Ef6vHgsQe1CacP7VI7v91xH/Q0apy/AtgBVAKWAY0bf3uONzUhf+1r8JWvKAoCisuHj1xt/M3+Ls+XLqZN9f5EYrh1dtXKlYqCgNVoJH+AcaH+rP02k75yZM2dw3OResOhJEGiXWrnPqmYRnq1R8eJE1SuXo0lSrywKjReVsUoIy6aNLsoiuzdu3dYEt+iVSOS5V56eppoaXkDWDvk5/4kIU46RwAhIr4qFVTUIKFNOP0wIHH43C5ss2L/XkQQePgzN7kCZu+A5yqhW/lSlg3U1+dQWrqaoiIloccrw7keAyve3EHKrvJBJTYF134ufLeQLEcWcqzC4j7IAuTU17O6tJRVRUU0e/qRsRoWE2RYru8wszn0ZT4Ump1aWad2O9hsYIgy93u9IvvtBXyEBTtmyuVxbDy+T1WnMHY7hna/WFAPy8oOfF9BHju4hUpyseDiZKEBIasLWeuGGICsLlpvrgX6b/F2Op0cP32ahTr2bTVmQG/s/QYrrxV7IRBbaUKSJCp0mvf8oR5jiB2isIUtnOtpAFWxdHztqkYhxusGNG5KSkoUwvn005CVpfowtNvmcu8iJ5aiLuhIjfmbw6mzG6tcaYXLNaBQIH/WvqSzju3AYuVjQ284lCiLbGELDTTEHh3btrGuv6RToxMtKEucEhRS2yjCibEg9oqkksqsWbPYtm0bU7XqRA8S8WpE+nDh5u2PIEJEfHXG6untGL1Z5LGCwBElsFbDtSUhm2XZwIGPFnGqAw46YWsdfLOylwNnj1F2uowny58k97lcnG6nzhb3wV/7eUX+CvI+zsOAAVFnrUZRBoMsk+/TVZT6U/s5LCYoPCFYC0LYS38oNDu1qoqUlkJDA3i96sd5vSINDX1VlPyJNKXytAHpFA6muMlAEDOGFAPV5FDCagB22+YiRWPgAAbondn/a1faU8I7bjcatzsAL3AkXZ+Vf7C5CrEJkj7zdLNO854/1EPQ8ZKyY0fWpBR+SCjT/8DGTXl5uWLh1CCcABgMtGVZ6CyMriXqx3Dq7MYqVypBIBRIDzxOD8dXHsdd4wbQ/24cpmndmqIvatLcadY1PiSgokVfmdUQROlEC7AOeB94zQo8CPm/yMflcrF3794hIZx+tYaCApg7F2bPVv7/r3/pkxusr3+flStXUlBQwNy5c5k9ezZz586loKCAlStX4nT2fy79JCFu6RwBhIj46uRG4Ykk7e2wZYtiAWtr64vJTh7TwJ7Pr4yZMKAnCBxRUiyeYTh6xspde9UPGWzwur/2856EPXTSyZgufYkgGT7JHH8FGVFv5g0glb2HGDSj6zSuIoe99IciAVKrqkhHBxQVQWGhYvEca56KLCT7MuozsNvzAhn1gfYhYMeMpzmK7A9qlY4kEhNfAmK7pocq6VNXDCkGKsgHwBFeVUUDCRn912h0OuH3v1/Ax7zPM1gxIGJAinDze4H65GTsS4oRnxn+stSxCZJOy5ce857TyTcPH+b/ApfwQxIxICPiYQxObNSyDC9pgd3b0Ofq9QdtD2TcOByO2OZ+AIOBXlvsakIDbYde6ClXKoGuUCC1ZC7d78aU4bnI4HAoLQiSgK3ORgX6rOv98lD5oVNUudnnVRzKcIPoag2xF4Ht7fDtb1dRX1+pSz7x04g46RwBhIj4dumbKNKC3rPt7XDffYrlK9Kg18OTh56MOVD1BoGTovKAxlhhD0Xwul+Dz3baFlLmUA2iBHl1/n8r9zNDp7vK43HS27A/JMrBqNM45nL1vcyHqiJitKoiHR2waZNi9R7L33EwN3YbSYiqZ6gVdzR79tscPHg5sqw9wQ9lFUjdMaQo91zSuaiwjuuHxZu+SaSx8U7AQLi9rII8tnILm8jlIC7+NGUKO9da+NMbw1+WOvbcqtPyFYu9+m7CXQ6HL5KzMeRrM3bGUc4+NgaIp34XrjTgcSNJUmQJRw0kmDsR8UZVONDTjsHEZDp0Eig9REut5KeudyMieZOHJzM7OBxKrf8FSWCSYxKFuwopQ1/51AEFAugQVfYC5ZP95xi6cINoHppwT5gatmyB+vreKCoh/YvD/iQiTjpHABaLhcrKSkpKSnip+SUapIaY88XklL5/b9miRTgV6BmoKV29PP6GUirQ2qW4pyUBHCbl4SxZDK5kQO3B0fEwDXY16dfgW7ZrGeWzy6m31qu+XEVJIMchU7xL+VsSFWdSns7JqaamhCxvaECe2Q4uG1FLCXq9Ina78jIfKlIBsauKiEAOSqUhPTxNQoiqZ6gVd7RsWQnl5bdQX5+jSjyH8pqhHzGkvgdF1Bk+YYwVCB0G/ySi1fkSBmrJ4QusBlYxSxCGtCy1Rql5rFbo7g7kzGhAn8Unpiah7yZoDX8BGRP1TKOUExT5tkV5gYXoEJ/EkDSbHVNFyn8dvbhF+L04eVLUrR1mFZrJoJrjSeOQr/0JTCkHk0N5d8kidKVjbl/Eg6uUjHo1DDYmUzPEx9MOtVuU8pO9bVQLMHdPStRiH2olP2O+G2WRnIwciq8dnsxsS7KFnct2suSPSzh06hA9Qg8yMgICiZ5EJjdP5rE/PkZad5r++M9YxgK1B0SWITERye1WPYsXqLbC2sW+cwwy3CB4IVJ1lQfphUjVDDqMEZ4wNdjtelRC9MdhfxIRJ50jBIvFwrp16yh2F2tXdUB5QKanT2depgGvfBSDoAzUWHNu1IHqdPLy46eYclZ9as07DbccUWpYu9QenKRaeAOoA7pQQgQElKSoycDiwa8m/Rp8ad1pbHxuI6XXlmKfbMeV4kISJERZxNxp5oq6i3hq1z+x+CqeNZvN5JhMFGdnR/19v9h146X/IDPsErNLoXkRdGWheoO8XpHGxhzKyoop0KpTrBNq1aa4HyaenQh1kLovFaFbQBRFMiwW8o4codjp5DPoC80QkTFmaD/WWmVO09JcbNyYS2npauz2fNrbJ5OYmD0gIqUHumNIfW216kznFzr/zYvv3ctRYR6vGb9BjzgmqpVKj5tfGRT5vnYrDR+KstR+K+vZ404ekUvIpxwrDkRf7RgHVnaL+TwmF+NUJUqxRWJEUYytSajjJgjImFHip714SU0yg1rVwQgd4l56OcqxFjjWol3cQt1tadWtHWaUvbyRdCWXL0+iNd2huEPC4GI3N/5Ru7BGf2Iy1eTZVEN8PO2w7z5w9yVd9QKHO4la7EOt5Ge0d+NYeSw3fP4G1vx/a1SvTa/YfzQ43U5u3HKjMneFyXd5jB6OZR5j5bKVbHxuI2O6dYYCpKdrfudpPoW08HISTrdq2j26jHDKDAiKEaXZZ0RZ6zeiMLhwg4iFyPiwHfyqGUULcbliLwLbdEal6I3D/iQiTjpHEB6nh7MlZ3mu8jmey3yOgxkHcSY5kY0yxmQjE6dMJH9aPsVXPEjVqoe4pPI4qW0SrzZCD0rESDlKdp7aFKw5UEtKmHKuV9OSYQByHLD6XVg1J/wBdUDrcmjQMLmcBo6A5wf6Y3Ocbic/fmc171Zvw+F2IElevmK8l88KSzDIBtK60yj6R5HKkV4msxUL/1T+EkU8n/lMzGzQZoebB9dV8u9sLw9ntnJJSiqNFOLChgczcocARR0kFv4ZbIcwmM+AIOPGxElpAV5vHrfdVszXvz44xhW1jJwRxGyRnAU57Ll3T9/E4XTi+f9Xk7i9FY7GPoeZXsx52lbf1tYeNm16HLs9n7Y2K5IkIopShC5rSsocrrpqaEqMqkF3rXtfTGC+3U6FzRY1mUiQvXgPjOHxXz2Dq81Kr5TIGXE88hiJMpuT7d86QNXiK0LGil43Pz43/1BWMikpUQjnbjmXHKoxqNCdPKmC/0rawfIrKjnltIRYVOfPL+Zvf9vByZM+EhCwLqIsCmVIlBPpXtyN0+3UVpjQfROaOchBUhamcMNnbuDwJhWzTQwdYq0YcHW3ZT649M3SGS4X669tw5Xe1u9z+zHYmEyr0QjtBtgyTSlZ2maEKx+GeY2Ka6kfbdIKkQl/NwrJApO+MykqafQ4Pby74ADPnhiPnRzaMCIhICIzBg+2Miff2n6AxVVXhPxGOFH9uO1jVnevxmlyYp9sp3RxKR3JHX1tFmXqrfWUXluK7R82DmFHirJSFoG8JUvU2+xx8vGDl5N5qlUz5l4EEj2wYzas+pzWPoMLN4i1EMEAQlYHCYVHsdvzsdkqNPWeoT8qIcMos3CeESedI4TwwPB7uCd0BxFMOSYW7pyBsOgqrj1xAoPvYcsJ2i0PuAVFEjr81ac5UMvLA7+lBQOK6520oAdUlMH0Y+isj25xcMCZ18/AKu1d/HC6nVy5eQEnWk6EPMhPL3qReR/mkeXI0tAI9GKigWxKfW0TMeTkcN0TT0StGen0eFhYVsmpG7zIBvC2J2Gv24iHMLNmB7Dp0cB5FghFJHzvPhYPYVzNgMrIWSwcXZbE7OoyPjx2VdSYSwGJy8Z2kl2crfq90wl33/1n6uqmqP5OsC6ryTT0L73gBKbs7G9SUXEXkhQlBg8veZQDUFxayo5Fi6jOylIlnoLsRWxK5Oijt0G7SkE8u5kT5eNYveMUG+ZfHNis/90u6rMa9gPl5fCIXKJJOEGRRZvcXc0bV6uV0rHgdFayumQ1z4vP4za5IwiXGzfPVD3DGzVvaJfO1XkTztDIhpkbqHyrktu5nb+/+VeqT5wIPV6HDrFaDLi6sbUY7D8D29yoyUSi10ue3U75FJAGcG4/zvbq0MECPtbYb4EwlrL75kCDqU8S48a9qlbXWG2KFiITDFO2KaY82sHVp7jrhE2zYpMdM+UnxrFj9Snmb1CeDbVEpjTff6DEly46soii5UURxPOI7QgvzH6B/a/t40TNCdWRLQI5OTkUr1XXrKypKeGif2sTTj8C85bqOURyrIMLN9CzEJENIvNs/+LVHz7IokU7yMrSKjQiYjAYiNRbM6OojOajhMyI1NQYKSgYXOGm0Yq4ZNIIQS0wPASSUuWjbckqCCKc4TCgkNDVKt9pJgzotGRktCcgHFiFWewlc34X3H4aprwNOuqs99T26DpHya6SCMIJ0JHcQdHyIrbmb+XglIO0TKzFOLWNFGsb5jE1TLa+zcKcdRjnTFG0Klas0FXQuaSmhtMmhXACmLd8CU+Hhh8dAANdZHEi9S4oLsbpdrLyzZUU/LqAuU/NZfZTs5n71FwKfl3AyjdX9ksqSm8ZufAJaN+RKjx31ZEwyaUZXysgkZnawvp/j9e0eJSUQH29OuGEUF3WoShzGgx/AlNd3ZO4XGUsXbqCrKxqBEFdpEjESw7VFPuElC0dHVQ+8AArrFYKzGayxY+ZzCmmUss8DjLzwFm8y69SJ5ygkIB6E9t+nhKyWb+EjqRMkkNYycThgHzKNQmnHwYkzVI6FouFpM8m0ZPao8vCpwqdN2Gs1RpIVrRYLOzbu5fvr1jBZz7zGaxWK8nJyZAS+3cgMgZc/RVlgdKV0NClqR0mAjnnzlH8u9/h0KmBrBV/frZH3ztMc7/SadBoCtVgM+mUtQprU7SSnyH7RQml8ePnL6dGLRHql1v7+ba+zos1XxkwkOXIovDdwojvumd0M3/DfPYeqGLF979PQUEBc+bMYdasWcyZM4eCggJWfP/7VO7bp5n46nKVY9Tpip6JlYIpBczJmMOsjFnMyZhDwZQCVuSv0F5o6YTe5LAOcxIrOtdTVFTJ1q0rqKkpICVlDibTLFJS5mA2FzB58gqysuaHHWlGURddARQAc4HZ9PTkUFYGTz6phJ18mlSU4pbOEYJaYHgEJEg4ulefVVJle4bLpYzO8AdZpyVDTB3PJavsPP+Uie89n0CjywV36Uzt7tS3m0K81NGR3MGmz20CYJ4ZXlxcwIIF7wft8b/6ThJ8PpeLYGOa0T4bolgLFRj4ODuXiUlou8OjxGNpQa+CQPAE5PR4WDXmW5wxjkPe+KEysdnN4EpQgphEmURzOzfZXuLWL/yOjKmVmr+rWJNi1C+XDdjt+RiNr+pqq16EJzCFx5C6XBnIXpHkFpHx7nPkUU6x+BMsohuSxsCsWVi2bWOdT2dvz56v0dl5OPD79//qfW3CGbg4gZYPQgXE9br5s7KSh1zGRJLAqlNrU6uUjsfj5J/HXhrQYiYAnTdhwty5Ie8Wi8VCcXExubm5tLa29sslGGivL1HktzXlpITFs5aTT0lHMa6izwfKnyaM8zD9YiWjPMNoJM9spviyy7AsX44kPg249Z87DN0640ednZ1MM01DkATMoplLUy5l+YzllNVdBVIY89Up6N4r9fLAmz/k5c5UWhOy8DxsQpYERElgjEvmmt0ZfPM3iaR1BB0kEjWUxo8PWlNilgiVEfigpe/Z0DNfGTDw9UobDx4LTUj1319/HoMm/IKXKll0mdmH0ViPRsAidPLzec3IsoQgiBiNVszmPLKzizF2AKvVzxHNjOhPHqpxxx5PoKwz8qmgo8PC5s3rSE2Fr98WGp7QLMlMP9fIbvYGjcFiFDOSRiKjpISdlKg5Oj6hiJPOEUJrZy+b7gO7DdrMAb7AGBfY7LCsFNI6wNCtb0kzj0xe5KfIyLhwcQg75oZSZVlU6SMe/qw/nWLEkmjAZVZcO4EV3hDHluglXrUd8H/eq6KnbK5vGhKjZntqni9spept0zfB1n1s5M6n59LY3qi5T381SrUmO7Mbit/tUxZIEqvh6blgtbJ/zhy6vnQL8hgDpHmhKFzUB3rxksgRkpuiLxD0hu65XBkhZU5jJSFYH7Lyk3//JCQ5Kry/1BKY0tJcgUpXgXth9i808oHvabZRDrO+t+nsV48z9JWnQ30FUYSlS6cPuYtLFPsSpWKiuppwf5vfenyuo0HXT2hZ+JwLFlBSVkY5USqoq+gNeZwevnfD92hqOM7y5TI2G5ingWBUonFcHrC7oLQWOsIIhIgYkj20UKUD8qjgFnaQ21GJa5PiQhYmVDPuJ8si3wPr1iE+9VdoPhzxO+EIzmYOru3uXrMGEhNjHi/LMqfcpwJ/f+j+kF17dgG7iSg5p1PQvbb9HE955oElE4RQAtJsgVcmedmTJ/HsfaJCPH3hWFqhNMFwevRN88H7qSUyqSHBY2buOeXf/oTUr/1QB3mPLnjJxArdt44Gt5svv3M4MG7HJIDNXMa3j7/M4gdEhBM16g94RQXs2BHhMYulYqAGUZbJoDmg8vHwg5HhCQBLWcoudlFPvU88P5+osikoTf80JbP3i3R2d3fz6KOPUlpaSmtrK5dddhlr167lxhtvjHlsa2srq1atYvv27XR1dXHVVVfxxBNPMH9+uLn50wenx8PdP+qkbpyMrOLK+miexCtLYEKjyPsrvUw7G/s3EzEwlamBv23YSGERnuPfwbh6NbwRRUhQA81mM5KguGwk2Rd3otP1JuiUNvFqldgJQ5sXPmjtAoImkQFYF8NlTFySBT3iSr1eKSrhDPx+PzRK1aQ7zG6o3KwkcvW9enrhY+W6r6moYM+bbwZqzEegvR15yxZes+/l/ZZ61qyZjSiKWK1W8vPzefBHP2J9SwvlLhfVnXPRV4c1iexsxY2sFtsVDFeFi31b9rH5m5tpSw7zh/n66+0D2/nLAQc5H4CxrU/FxjMGnDaoXQZe36XprbDVQQqbuA87NtowU//Tc9CzJ0LGJALBw8HppLj7cXYkLqfaPUlV4zFYKmooMoCDYbX2SULFRG8vlJWFTJQ1ZxXrsX7FzMg9nU4nua+/rlmvOlBBPTsbS1BogX9c/LuhjKc3yhFFgwztMO13UGiHnzrhTBd4gyTa/vFVS8yyVAYkcqhmNSWsQlnU9SQ2Una6TPU9YE2x+rXoo8Kfzeyv7R6QK3O7dZFOwtzrMjL11JPK/wV+Ebpvl87F0JSlYIoknAGIBhqyJJ69u4Nbf93IiaQT/I2/kXJTCvn5+VGLg+hVrvUGWUOjaf2G/nbfMf6E1BVvdcBDMQ7U6HsPqdRQiEuyMVNazxiOx2xDQxKcCq4N0KUsdm54sYbFJ4gS0qZuRoyZPKSCDJeL1GSJFd9R3hVnNcIT0khjIxsppRQ7do6IE+jVcaJPUzJ7v0jn3Xffzcsvv8yKFSuYOXMmL7zwAjfddBP//Oc/KSgo0DxOkiS++MUv8sEHH7Bq1SoyMjJ45plnuO6669i3bx8zVOQuHRKgAAAaQUlEQVQnPol46aWXWLp0KR6nhxOrT3Bu2zk8Dg+OFC8lqeAyi9htULoMOoL5gyDiSfDSNLWHJLe+SUgOm6wMGOgmixr5a8zYtg25qQmhH4RTBqpmzEBEcdmIgs8sNkaf9EXSGHXXZrDGWXN3LydzfgxCD3hcim5dbSl4O1SPVYPJIHHj2GO8VWZjcpoZ2etBOOfA6OjFfDSB7NfSMfYkBNwn5ptuCiHOXt+/3+ItbuAGzfMIUWpjphqgcBrYzGA2QpJxD3v2zPW5dfIVt44xcgJQmxSL3w0nnKEwSFJIjfkQBFUN6JRlOlNT4ZbrlSouZjNlosgTb7wB48cryVamHvSQTpNpGkaj0qKjq2voONalTY0kGHd2HF9792uB0IhgpLkl/rD+BJkt6gm8ZjuMK4d9GxXiKctShKxU695Wxl45NmA5fXDRw9ztfoQ60pH9dy7TSyDGI0jGJJx4Gv0JGj5Li6W6mkppAyWspoJ8msnw2WklMpI7yLtnHsVrk0klNvlu3tHMwsqFuolnfj44yvSRkvbpYF8DsiAhCcdpLFvIgZSZ/ImnaKKEcEF3NagtekpKSqiuqYkuEwSU3HQT64JIjT/m7/rl9QHC+dZbcMMNCuFceB+YGvqqfQU/DXmn4a5TR2CSHHNRbEAiP1DdRoLWbHjKjiSLHBMkbJscLP2CheJifRVzgrOZ/bXmA2EBTqc+MXqVADsZmR52R+57Ol+p8hYjmQizTZtwBhov8triTl77zX9Dawe0AsdiV7ERDUJk7govAUtDtjR5EgPRWYKOOH5QpLSCES2xJwQqmWMeUtnHRrp8SZ4tzCeN6ohzBCNYBD4YMjCvRkd0g4oZUU/yUDD8iWxTs8UAd62OEp6QRhpFPr3buxIncyqmB/8lJGlprJ0+MdBNOvfs2cMf//hH1q1bx/e+p7i9CgsLmTdvHqtWreJf//qX5rFbt26lvLycrVu3ssQnkXDHHXcwa9Ys1qxZw+9+97tBXsb5QbhubX39Fg7v/TdX/+5KjB+nI/hiB8e6Bcb6OJzNDovKoWhjKPGUMTD1Qzfudn0rzF5Ve52Bxsx5THe9gGEAbnEZGNstkl2cjbXa56q12WIKhQoI5Al5/HD/Ud6T2wOVPGTgtNuNO/jYtMy+f5ttkLEIqop0Ec9UA2xcAFkmMAgNdHb63IpjlI9rMjTPcbCwCDoOQ0lZGfKGDYjjxyvPvyjiOvsokMPbvB2VdF7kughBEiJEmEPb4N/aG4gvdLkqaD77Cgtf/QLG96pwtp2lZO5Zyi/qxp7UrWheBemd5jtjOVdCa8yHILhqQGoqbNwYvU71Y3b4Ri6pdFBYWILNVo7Z7EAQJF95TSt2ez5HjyoC2k4nlD3vItaS0IABW51N9Ts/qdYirYIMpnqYVgoniqCj1xMZR1sOTdObMNfDbc+Xcbr5Jd5wGxAlGUkUcYwZQ7nNxhPL/osvpb2MzWDHPLkN4fcG5JakwHWVlhZjyfBZsoIsLRZcrFOTXugRIWkFWNZxfKW+RMCakhrVbGI1fVZ5gpnJKfPJ66yImkwkCeDIhc5p/i0yVqpZLJ9gJh9yd4IFumKTTmuSleMrj4dYav9x+h8xYzElYPOLL/LXnTuRJAlRFEmsT2S2NJsbbO7AcHv7bYV0TtsSSjjDYQDGNbqgK7YVCyCRbvziwKltEylsc2PDhRkPwjkXnfaTfPkXL3Bm3IckSAl0S90ROsL4NBsTjYl0exQJKX+t+QBaW2HKlOiNaW+HV16B6dOhpUWZBHzvNw+HASchFHtXMczeAdZqVeIpImIQDfQa9RW3yOwdx0/HbEfubMIlt2LHTqlUGrU4SHq6RE3E8IgknR5ZUIx+xU6Mpz+CmE8+GFXE+yb1prJq34ekPHGaSQcNpLpEBAkEUUKwdDHlSge5H7eTEHZcDYUBwglQyzLGUY6JelXiGS4CHw6rvsqoOP91kr8l/YHupG48szyc/aX6u0wNotdLTkMDxaWlcMUVge16wxMEXRbllxDFC5B0bt26FaPRyPLlywPbkpKS+OY3v8nDDz9MfX09kyZN0jx24sSJAcIJMG7cOO644w5++9vf0tvbS0JC+BAc3QgPSUlNdTJr1nssPjUd8eN0zWQVgwxZ9VBYCpvCDFeeMakIch4SdYhRVncyAi7UH4xTxlnMyDSSeUxNuVkbArDw+HFqCyZitChi2hWtrUjLlimsul5bNmkaqXzn+AO4bmngqTAyHf2kBjBlwbRCOBFpJQtH4bRwshcGgyLwfrQQvrRJsdBIPT1Q17f0trOXS5ge81yJnkQsnRZa01r71wYkujqrqXE9xUX7FMH96nSQeoDNRJTn1ZnHEqgxH4LgxUBhYXTCCTCum9RvHGRj7p2ash42WwVdXTvweCopKbFwmVvfy9PcpT5p5tfFJtWCrFg8Adq6amlyShH6fqFhCJExjFfWfsRnlmyjJ1XCIMjKgDb7Pr7rWrRoB1UHKwCTzuLvfVYQvYmArorIfoqmz7rmrgZu2pRNjlyjSjwlAdyToDYySRgDMlnUM888kw9cPmFODYiIZO/Mpm5rXch1tNKqeUww2traOHw4NF7yIAf5T3PkOS12bcLphyBJ0Kkv+3CTcA/IMqlIbGQfWXQFxlQ77TzMfTR4G5DPaOsIsxxIBrfHzTOVz/BG9RtElI+326PXeo9ejxiJVhQxu0oCxLPbAs9VwrUlisUzpZl0q8SE8SIZKRnkTc7j1cOvclxneJLBIzC1KQFFm2oKNmwsYhFFUpFmcZArbtjL/t9eAzGSiUBQhntJCcm9nbQwXUO+ToEXL8kGu8L+gnCqU+CyW8+S2WBSSYpNpOtDM3sND5HLfRjpMzYoc1rf+byksY+NTKMUM3YScCH43gwfTavj3axQEfhwRKkWGoIERCb2TIQe8O7z0n6iA6bEpkbJ3d1855VXKC4txdLVFRLzrDc8wSzqe78OoTzweYduwZD9+/cza9Ys0sLiynJzcwE4cOBA1GMXLFgQsT03N5fOzk6OHtWhej3KEB6SUlhYQnJyB+KhuTGzow2yYvEMhyTAKZbRxaSQ+JpgyAh0MYlaVGYhQJKN/OxW9e9iIbOtjTWzFJ224uxschwORJNJsaB9+cswbx5MnQqTJ8OUKSTPnMn9RiPvMAWLPCZApvsFwaBYPHXAZo5G9nwwwGEbmjFqpZTSG+lrioCISHpHZLUMvW1wzYWSa32EUwTeJYJwKufRB1GNIAWXt4g2WQadrHDxE1F05MBgkEhLq6ampoTyctAbEaYVjqDX2pDg42ppRi9fmxZ5zlhhCKe/Dt6LvArhVIHBIJGVVc29d/9E2aC7+LsSD6HXcuFpjtwvmj6r68AKcuVKfs4K3qeAQ8zhCLM4xBwapo+h7st9oQeq14XM16YZwDQJLVIhAlO9U1n6l6URD8VgKonJyKqn1Ct1ozfefL9hHiBSSE0I4QTYwhYaaPAlZWjAgfL8+U/rSwA8OzcseL60lHENDYhaceex6hEDvmCE0E3dFvjHOsQX32fmm4c4+f0jHLr/EO9/433WfXYdRtGou/JSOJEyYCCLLAop1CwOctc9azEa9WmQNjcD5eVsuWYLDdYGvOGM0gcvXhqsDWy5JvKF73DeSmaDoC37Jwt0ezKpCZvDPCreOy9pnKCIA2ygkhfZQyl72MKSpWNZ9TltwgnKfKoHwaFqBgwYYyh8+JHd1MS6TZsUwhlWI1ivzuqlKe260iaGUB74vEO3pbOxsZHMzMyI7f5tDQ3aGZSNjY1cd911UY+95JJL9DZlVCDcUGKzlfPBByip6TpgVjFcibLykFWxkdSMUjoz7WS4XIiSxIQmETxmXNiopRAv6rOQJArsnqnfPRCM7MREDD6hdYvRSOX//i8leXlU2Gw033QT0he/qGTpuVzk2e3KCs/joYMOTqJNpmPBmGAhK8GIWRSp7fbQppXlrXO0eszaRqkOOjjDGV2/M7thNicnnBxwG0LEqjXinHQngai9mYIHoM7a87b0AxhixZch4XJV4HCEJgpEg6xB9vRaG/yxVwZBIfbhiGUxdYUaSVRhMEi43T5rkP7SIEA/EitU9ouqz1qXjwtrIFEmGL9ZM5dp02JnY08wdsCCjUp8tMsOvS6M9JBFE+YEuGJcFvc8/xvkLpV63YOUalbjSjpVgnQnKTp8/gAbrogutmOPTjj9CHv+JCS6LwrzBnV08NuiIv5RWEiFzUbVzJl0JQexGj31iJG4KGEXs65SCFxwBSmtUrLWFKsS464DavOGAQM2bLwtva16jMl0mvHja2lomBnz9yUJcDh4b1EHT+UVUfhuIbY6G+YuM4IsIAsyLpMrUJHoijMd8E7ob3R658SU/QNDhLdO77tGQEBwJwdCJrSgV7c1PFTN7NLXjozeXrTqIuvVWV0+8wyVjkzNfDpRBJMphM9+4qGbdHZ1dZGUFJkskux7KLu6tE0abrd7wMcCHDo0fOX4Bopwju1wNNDeDkfdtagXJQ5Fk5uIsoYJx/s2NSbcwP880Bdz+NDPYEZALUeb4B9PgPpmB1UxW6CC3l6oCjrS4eCrmzbxVY3dq33/78LNUV/LHefQVa4xGNYmeGTN0wD87Jaf0TYxUhYIoLYaumO8aACam6J/X0MN7bQH2qyF+f+az98n/H1AbUhqgoZ2+rpKw/pTjhLeGQv7E4wQ7hEIloOqrYXu2OPOQbOu7klOrqezs4qPOEY3seNtjxuOqw7LD73oOBq6PH2X5+gi9Lfc0NRG1DH9oQPcOi4sObkeqIrIQNZETw9UVXGk5whuHRqQyT3JJFSFhgo1HGlA04vd1oTWldXWdurpUppwo9ywGyBVeWdYaeIR1gACE8zXU3uqVrX9xkGq5n30Ud+wa29X+jDBo08jgcRE5eAoRM4LuMRDQBcOPuRo2DU060lXB+X5Cxuf3q5IK157R0fgnfdf//M/1AQbWnSmECeaGli/Xr1Pq6sjt13cdTFlH+yC8QkQrSiDJJH5rqj6/Dpw0NPTQ1VV5HkPHepEkj4g9CXUitq46+mBKqmThnboMHaw6dJNcKlGexxQ3xH6K15B4CAOkojtGUgKc/0c4aSuZwzAeCo5pjb0n8dC4unoa1EZaCKT+qC7mvkufJQgQxRrpQBMnzCBqvXrlQ1hHXv64tOcKT8T3VEkwISZE3juHonnn4eDB5WwPf9CxWKBSy+F6upWqqsHNKOPKHTzNFknLrnkEvnGG2+M2P7RRx/JgiDImzdv1jw2LS1NvueeeyK2//Wvf5UFQZDffPNN1eMaGhrkOXPmyChdF//EP/FP/BP/xD/xT/wT/4zCz5w5c+SGhoaoXFL3MjczM1PVhd7YqKTFZWVlDfmxmZmZvP3224H94ogjjjjiiCOOOOIYfcjMzFQNwwyGbtI5f/583nnnHdra2hgTpN24e7eiTXZFkFxAOK644gree+89ZFkOERHfvXs3qampzJo1a1AXEUccccQRRxxxxBHH6IbuKPLbb78dr9fL5s2bA9u6u7t54YUXyMvLC8glNTU1cfjwYTxB8Wa33347Z86cYdu2bYFt586d489//jM333zzJ04uKY444ogjjjjiiCOO/kGQZZ1aDcCdd97J9u3bWbFiBTk5Obz44ovs3buXt956i6uvvhpQqhZt2bKFmpoapk5VyjRKksTVV1/Nhx9+yEMPPRSoSFRXV0dlZSUzZ8bOqosjjjjiiCOOOOKI45OLfqUubtmyheLiYkpLS2lpaeHyyy/ntddeCxBOUGpwh9fhFkWR119/nYceeoj169cHaq9v2bIlTjjjiCOOOOKII444LgD0y9IZRxxxxBFHHHHEEUccA8HglIHjiCOOOOKII4444ohDB+KkMwa6u7v5wQ9+QFZWFikpKeTl5bFz505dx7a2trJ8+XIuuugi0tLSuP7669m/f/8wt/jCxUD76q233uIb3/gGs2bNIjU1lZycHO69916ammKozMcxIAzmmQrGvffeiyiK3HzzzcPQyjhg8H21c+dOrr/+esaOHYvZbObKK6/kT3/60zC2+MLFYPpq586d3HDDDYwfP54xY8Zw+eWXs2HDBiS9lbvi0I2Ojg7WrFnD5z//eaxWK6Io8uKLL+o+/hPPK6KqeMYhf+UrX5ETEhLkVatWyc8995y8aNEiOSEhQX7//fejHuf1euVFixbJaWlp8mOPPSY//fTT8iWXXCKbzWb52LFjI9T6CwsD7auFCxfKOTk58g9/+EP5V7/6lfzwww/LZrNZnjhxotzU1DRCrb9wMNB+CkZlZaWckJAgm0wm+eabbx7G1l7YGExf/frXv5ZFUZQ///nPy88884z87LPPyitWrJCfeOKJEWj5hYeB9tXf/vY3WRAE+dJLL5V/8YtfyJs3b5a/9KUvyYIgyN/97ndHqPUXDk6ePCkLgiBnZ2fL//Ef/yELgiC/+OKLuo79NPCKOOmMgt27d8uCIIS8JN1utzxjxgx50aJFUY/94x//KAuCIL/88suBbWfPnpXT09Plr371q8PW5gsVg+mr9957L2Lbrl27ZEEQ5NWrVw95Wy9kDKaf/JAkSc7Pz5fvueceOTs7O046hwmD6auTJ0/KJpNJ/u///u/hbmYc8uD66qtf/aqcnJwst7S0hGxfvHixbLFYhqW9FzK6u7vlM2fOyLIsy3v37u0X6fw08Iq4ez0Ktm7ditFoZPny5YFtSUlJfPOb36S8vJz6+vqox06cOJElS5YEto0bN4477riDV199ld7e3mFt+4WGwfRVsPqCH9dccw1Wq5XDhw8PS3svVAymn/woLS3Fbrezdu1a5Hge5LBhMH21adMmZFnmscceA6C9vT3eV8OIwfSVyWQiKSkJi8USsn3ixImkpKQMW5svVCQmJjJ+/HiAfj8TnwZeESedUbB//35mzZpFWlpayPbc3FwADhw4EPXYBQsWRGzPzc2ls7OTo0ePDm1jL3AMpq/U0N7eTltbG+PGjRuyNsYx+H5qa2vjBz/4AQ8//DATJkwYtnbGMbi+2rlzJ3PmzOG1115j8uTJmM1mxo0bx6OPPhonn8OAwfTVAw88gCRJfOtb3+Lw4cPU1tayadMmtm/fzo9+9KNhbXcc/cOngVfESWcUNDY2qpbg9G9Tqyc/FMfG0X8M9f3+xS9+QW9vL3feeeeQtC8OBYPtp8cee4zU1FRWrFgxLO2Low+D6atjx45x6tQpvvGNb3DPPffw8ssv84UvfIG1a9fyyCOPDFubL1QMpq8uv/xy3n77bf7yl79gs9mYPn06DzzwABs2bOCBBx4YtjbH0X98GnhFv8ThLzR0dXWRlJQUsT05OTnwvRbcbveAj42j/xhMX4Vj165d/PjHP+bOO+/kuuuuG6omxsHg+uno0aOsX7+eP/zhD/HSuSOAwfSV353+s5/9jIceegiA2267DYfDwS9/+UsefvjhCKtcHAPHYPrq8OHDfPGLX2TatGk8/vjjJCcn8/vf/57777+fCRMmcOuttw5bu+PoHz4NvCJu6YwCk8lEd3d3xHa32x34fjiOjaP/GKr7ffjwYW677TYuu+wynn/++SFtYxyD66fvfve7FBQUcNtttw1b++Low2Dff4IgsHTp0pDtX/nKV+jq6up3uEsc0TGYvlq5ciVGo5F33nmHr3/969x+++1s27aNq6++mu985zt4vd5ha3cc/cOngVfESWcUZGZmqpqrGxsbAcjKyhqWY+PoP4bifp8+fZrPfvazpKen8/rrr5Oamjrk7bzQMdB+evvtt3njjTd48MEHqampCXw8Hg+dnZ3U1tbS1tY2rG2/0DCYZ8r/XXjcrT+BoqWlZaiaGQeD66v333+f66+/PiJp6Oabb6ahoYHa2tqhbWwcA8angVfESWcUzJ8/n6NHj0ZMZrt37wbgiiuu0Dz2iiuuoKqqKiJofvfu3aSmpjJr1qyhb/AFjMH0FUBzczOf/exn6e3t5Y033ognqQwTBtpPp06dAmDJkiVcfPHFgU9DQwNvv/0206dP54UXXhjexl9gGMwzdeWVVyLLMnV1dSHb/RPmRRddNMStvbAxmL7yeDyq1kx/JrTH4xnClsYxGHwqeMV5E2v6BMCvfbZu3brANr/2WX5+fmBbY2OjfOjQIbm3tzewza+ntXXr1sC2s2fPymPHjpWXLl06MhdwAWEwfdXe3i5fddVVssVikauqqka03RcaBtpPp06dkl999dWQzyuvvCKPHz9evuqqq+RXX31Vrq6uHvHr+TRjMM/UK6+8IguCID/yyCOBbV6vV7766qvlcePGyT09PSNzERcIBtNXV199tZyRkSE3NzcHtnk8HnnhwoWyxWKRPR7PyFzEBYjKykpNnc5PK6+Ik84YuOOOOwJVHp599ll50aJFcmJiYoig+F133SULgiDX1tYGtnm9Xjk/P18eM2ZMSOUAi8UiHz169HxcyqceA+2rW/9fe3eookAURnGc7xaFqZZJjmA3isEgaDb4AoKC2Cw+wQWDUbFoFMw2xXfwWUQw2M42WdeFBYc7C+P/B7dNuB+HmXvKzHS7MjMNBgNtt9untd/v/2OUXHs3p9+Uy2U+Dh9Qmqza7baccxqNRlqtVup0OjIzbTabrMf4CO9mdTgc5JxTtVrVfD7XYrFQo9GQmWk2m/3HKLm3XC7lvdd4PJaZqdfryXsv772u16uk/PYKSucf7ve7ptOp4jhWsVhUvV7X6XR6uqbf78s59/LQvVwuGg6HKpVKiqJIrVZL5/M5y+1/lHezSpJEzjmZ2cuqVCpZj5F7ae6pn/gjUVhpsrrdbppMJorjWIVCQbVaTbvdLsvtf5Q0WR2PRzWbTUVR9MhqvV5nuf2PkiTJ44xxzj3On+/Z5LVXmMSXegEAABAWLxIBAAAgOEonAAAAgqN0AgAAIDhKJwAAAIKjdAIAACA4SicAAACCo3QCAAAgOEonAAAAgqN0AgAAIDhKJwAAAIKjdAIAACA4SicAAACC+wJuMY0oUvHnmgAAAABJRU5ErkJggg==",
"text": [
"Figure(PyObject <matplotlib.figure.Figure object at 0x00000000347D18D0>)"
]
}
],
"prompt_number": 48
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Try experimenting with the number of points, $n$, the type and size of marker in the plot command, and the location of the starting point.\n",
"\n",
"We \ufb01nish with the listing of sweep, which generates a volume\u2014swept three\u2014dimensional (3D) object; see Figure 1.12. Here, the command surf (X,Y,Z) creates a 3D surface where the height Z[i, j] is speci\ufb01ed at the point (X[i, j] ,Y[i, j]) in the x-y plane. The script is not written in the most obvious fashion, which would use two nested for loops. Instead it is vectorized. To understand how it works you will need to be familiar with Chapter 5 and 21.4 of reference [1]. You can experiment with the script by changing the parameter N and the function that determines the variable radius: try replacing sqrt by other functions, such as log, sin, or abs."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# SWEEP Generates a volume-swept 3D object.\n",
"using PyPlot\n",
"\n",
"n = 10 # Number of increments - try increasing\n",
"\n",
"zz = linspace(-5, 5, n)\n",
"radius = sqrt(1 + zz .^ 2) # Try changing sqrt to cos, sin, log or abs\n",
"theta = 2pi * linspace(0, 1, n)'\n",
"\n",
"x = radius * cos(theta)\n",
"y = radius * sin(theta)\n",
"z = zz[:, ones(n)] # Tony's trick! Who is Tony? No idea.\n",
"\n",
"cm = get_cmap(\"coolwarm\")\n",
"surf = plot_surface(x, y, z, rstride=1, cstride=1, cmap=cm,\n",
" linewidth=.5, antialiased=true)\n",
"\n",
"colorbar(surf, shrink=0.5, aspect=5)\n",
"title(\"Figure 1.12 3D picture produced by sweep\")"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": "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",
"text": [
"Figure(PyObject <matplotlib.figure.Figure object at 0x000000003765FE10>)"
]
},
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 49,
"text": [
"PyObject <matplotlib.text.Text object at 0x0000000037625630>"
]
}
],
"prompt_number": 49
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
">[1] D. J. Higham and N. J. Higham. \n",
">[MATLAB Guide](http://www.ec-securehost.com/SIAM/ot92.html), Second edition, \n",
">Society for Industrial and Applied Mathematics, Philadelphia, PA, USA, \n",
">2005, ISBN 0-89871-578-4 \n\n",
">[2] Fernando Pérez, Brian E. Granger, IPython: A System for Interactive Scientific \n",
">Computing, Computing in Science and Engineering, vol. 9, no. 3, pp. 21-29, May/June 2007, \n",
">doi:10.1109/MCSE.2007.53. URL: http://ipython.org"
]
}
],
"metadata": {}
}
]
}
Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment