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Last active August 29, 2015 14:16
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{"nbformat_minor": 0, "cells": [{"source": "# IPython Notebook/Jupyter ", "cell_type": "markdown", "metadata": {}}, {"source": "What is this \"Jupyter\" thing? Well in 1110 you've probably used the interactive console by typing\n\n $ python\n \nand getting this little prompt back:\n\n Python 2.7.9 (default, Dec 11 2014, 04:42:00) \n [GCC 4.9.2] on linux2\n Type \"help\", \"copyright\", \"credits\" or \"license\" for more information.\n >>>\n \nFrom there you can put in Python expressions and see how they evaluate. But it can be kind of a hassle. If you want to edit something, you have to put it back in, line-by-line; unlike your editor, there's no syntax highlighting. And once you're done, you have to painstakingly copy-and-paste your work back out if you want to save it.", "cell_type": "markdown", "metadata": {}}, {"source": "Jupyter provides a \"Notebook\" where we can enter code in, sort of like the interactive interpreter. But instead of inputting things line by line, we can put a block of code into a cell. We can edit it all, then tell the notebook to evaluate it and show the result. If we're unhappy, we can double-click on the cell to edit it some more. If we want to save our work, Jupyter can save a Python file for us. And we can add text and non-Python things, like what we're doing here. (It's sort of like a Mathematica notebook.)", "cell_type": "markdown", "metadata": {}}, {"source": "Let's try to solve the FizzBuzz problem. For each of the numbers from 1 to 20, we want to print \"Fizz\" if the number is divisible by 3, \"Buzz\" if divisible by 5, \"FizzBuzz\" if divisible by both, or print the number itself otherwise. If you're typing this in to your own notebook, notice how Jupyter highlights and indents the code as you write, like an editor.", "cell_type": "markdown", "metadata": {}}, {"execution_count": 8, "cell_type": "code", "source": "for i in range(20):\n if i % 3 == 0:\n print \"Fizz\"\n elif i % 5 == 0:\n print \"Buzz\"\n elif i % 15 == 0:\n print \"FizzBuzz\"\n else:\n print i", "outputs": [{"output_type": "stream", "name": "stdout", "text": "Fizz\n1\n2\nFizz\n4\nBuzz\nFizz\n7\n8\nFizz\nBuzz\n11\nFizz\n13\n14\nFizz\n16\n17\nFizz\n19\n"}], "metadata": {"collapsed": false, "trusted": true}}, {"source": "__Oops! It's not right!__ Can you fix it? Double-click the cell to edit it. When you're done, press Control+Enter to run the code and see the result. (Pressing Shift+Enter will do the same thing, but \"focus\" the next cell so you can get on with your work.)", "cell_type": "markdown", "metadata": {}}, {"source": "# SymPy", "cell_type": "markdown", "metadata": {}}, {"source": "What is SymPy? It's an open-source library that can do math for us. Great, you say. I have a TI-84 and a Python interpreter that can do math for me whenever I want.\n\nWhy SymPy, then? SymPy is __symbolic__. With SymPy, we can do all the math that we can normally do by hand, but have the power of Python automating all the busywork. That means that, unlike your TI-84, if you ask SymPy to calculate an integral, it gives you an exact answer, not an approximation. You can ask SymPy to simplify expressions, make partial fractions, row-reduce matrices (with variables in the entries!), and lots of other crazy things, like find the general solution to a Diophantine equation. (Whatever that means.) If you've used Mathematica before, it's the same idea.", "cell_type": "markdown", "metadata": {}}, {"source": "Let's get started and import SymPy.", "cell_type": "markdown", "metadata": {}}, {"execution_count": 114, "cell_type": "code", "source": "from sympy import *", "outputs": [], "metadata": {"collapsed": true, "trusted": true}}, {"execution_count": 2, "cell_type": "code", "source": "init_session()", "outputs": [{"output_type": "stream", "name": "stdout", "text": "IPython console for SymPy 0.7.6 (Python 2.7.9-64-bit) (ground types: python)\n\nThese commands were executed:\n>>> from __future__ import division\n>>> from sympy import *\n>>> x, y, z, t = symbols('x y z t')\n>>> k, m, n = symbols('k m n', integer=True)\n>>> f, g, h = symbols('f g h', cls=Function)\n>>> init_printing()\n\nDocumentation can be found at http://www.sympy.org\n"}], "metadata": {"collapsed": false, "trusted": true}}, {"source": "`init_session()` starts up an interactive session that sets up some nice defaults. Let's do something your TI-84 can't do: calculate an exact integral. So let's find the area of a semicircle of radius 7:", "cell_type": "markdown", "metadata": {}}, {"execution_count": 4, "cell_type": "code", "source": "y = sqrt(49 - x**2)\nintegrate(y, (x, -7, 7))", "outputs": [{"execution_count": 4, "output_type": "execute_result", "data": {"image/png": "iVBORw0KGgoAAAANSUhEUgAAACIAAAAqBAMAAAAkOpScAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA\nAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAMpndu3bvImbNiRBU\nq0Qb3U6NAAAACXBIWXMAAA7EAAAOxAGVKw4bAAABHElEQVQoFWNgYGAQYmDYtOo6kAEHJgzcGQxl\nBXA+A2sKA28CA68CQqRiCgP/BAauDwiRBVMY9jswsH6Ei3AUTGFgA6r5xxD/////T0DxrQxTQFo4\nf3AtPFoRDjJ/AVCEYSrDqT8yDMtZBYACPAIgEY5QKaA5DrwbgCK7GEAiDAy8vxkYLzCDWGfv3v12\nFUhzXmBgauAHqQGCFAaOdAb5Aob9G/gfgAUYvjCwzuaewcAQzMC2ACyy5P8NhkVKQFkPBl6ICFh4\n0BDAUEIFtHdZkYojqiXcFxjWP0ARAkYCWwKKCJsBAy8imkFSnL/RRYCCzL9RdAE57xegi9iiCzAp\noIsEoQvwKDCUo4oBU3A4igi71SpdAxQRTmDIQkUA2VxV9lJPFbMAAAAASUVORK5CYII=\n", "text/plain": "49\u22c5\u03c0\n\u2500\u2500\u2500\u2500\n 2 ", "text/latex": "$$\\frac{49 \\pi}{2}$$"}, "metadata": {}}], "metadata": {"collapsed": false, "trusted": true}}, {"source": "SymPy gave us an *exact* answer, not an approximation. In fact, it \"knows\" how to take an antiderivative, if we don't specify the bounds of integration:", "cell_type": "markdown", "metadata": {}}, {"execution_count": 5, "cell_type": "code", "source": "integrate(y, x)", "outputs": [{"execution_count": 5, "output_type": "execute_result", "data": {"image/png": "iVBORw0KGgoAAAANSUhEUgAAAPsAAAAqCAMAAABCzt0eAAAANlBMVEX///8AAAAAAAAAAAAAAAAA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\nrWc8vH/E9Nu4/wgsnQ2vt2JrmX+J+x9aBi4FTRqxkgAAAABJRU5ErkJggg==\n", "text/plain": " ___________ \u239bx\u239e\n \u2571 2 49\u22c5asin\u239c\u2500\u239f\nx\u22c5\u2572\u2571 - x + 49 \u239d7\u23a0\n\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500 + \u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\n 2 2 ", "text/latex": "$$\\frac{x}{2} \\sqrt{- x^{2} + 49} + \\frac{49}{2} \\operatorname{asin}{\\left (\\frac{x}{7} \\right )}$$"}, "metadata": {}}], "metadata": {"collapsed": false, "trusted": true}}, {"source": "Of course, SymPy can give us a numeric answer when we want it:", "cell_type": "markdown", "metadata": {}}, {"execution_count": 6, "cell_type": "code", "source": "integrate(y, (x, -7, 7)).n()", "outputs": [{"execution_count": 6, "output_type": "execute_result", "data": {"image/png": "iVBORw0KGgoAAAANSUhEUgAAAJ8AAAAPBAMAAAAIUwCQAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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\n/AEyYBhU3poVfAAAAABJRU5ErkJggg==\n", "text/plain": "76.9690200129499", "text/latex": "$$76.9690200129499$$"}, "metadata": {}}], "metadata": {"collapsed": false, "trusted": true}}, {"source": "For the more visual among us, let's do some plotting. (Of the math kind, not the evil scheming kind.) Say your 1910 professor asked you to draw the derivative of $f(x) = e^x sin(x)$.", "cell_type": "markdown", "metadata": {}}, {"execution_count": 10, "cell_type": "code", "source": "f = exp(x) * sin(x)", "outputs": [], "metadata": {"collapsed": true, "trusted": true}}, {"execution_count": 12, "cell_type": "code", "source": "%matplotlib inline\nplot(f.diff())", "outputs": [{"output_type": "display_data", "data": {"image/png": 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"text/plain": "<matplotlib.figure.Figure at 0x7fb3d6b57910>"}, "metadata": {}}, {"execution_count": 12, "output_type": "execute_result", "data": {"text/plain": "<sympy.plotting.plot.Plot at 0x7fb3d6a6c4d0>"}, "metadata": {}}], "metadata": {"collapsed": false, "trusted": true}}, {"source": "Whoa! What was that `%matplotlib inline` thing? It's a feature of Jupyter called \"magics\". These are special commands that affect Jupyter. In this case we told the notebook to draw the graph inline, instead of in a separate window.", "cell_type": "markdown", "metadata": {}}, {"source": "One more thing. What if we want to draw the function and its derivative together? And what if we want to see the behavior closer to the origin?", "cell_type": "markdown", "metadata": {}}, {"execution_count": 22, "cell_type": "code", "source": "p = plot(f, f.diff(), (x, -1, 1))", "outputs": [{"output_type": "display_data", "data": {"image/png": 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"text/plain": "<matplotlib.figure.Figure at 0x7fb3d5dfe7d0>"}, "metadata": {}}], "metadata": {"collapsed": false, "trusted": true}}, {"source": "Now, SymPy does have some gotchas to keep in mind. When we defined `y` and `f` above, we were defining Python variables, not math variables. That means we couldn't ask SymPy to \"solve for y\", because to SymPy, \"y\" doesn't exist. SymPy, for all its power, is still ultimately another Python library, and that means it can't change the semantics of Python itself.", "cell_type": "markdown", "metadata": {}}, {"source": "For one, we have to define variables (or in SymPy parlance, `Symbol`s) before we can use them. Say we want to let $z = j + 1$:", "cell_type": "markdown", "metadata": {}}, {"execution_count": 24, "cell_type": "code", "source": "z = j + 1", "outputs": [{"ename": "NameError", "evalue": "name 'j' is not defined", "traceback": ["\u001b[1;31m---------------------------------------------------------------------------\u001b[0m", "\u001b[1;31mNameError\u001b[0m Traceback (most recent call last)", "\u001b[1;32m<ipython-input-24-a5e01b2b192c>\u001b[0m in \u001b[0;36m<module>\u001b[1;34m()\u001b[0m\n\u001b[1;32m----> 1\u001b[1;33m \u001b[0mz\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mj\u001b[0m \u001b[1;33m+\u001b[0m \u001b[1;36m1\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m", "\u001b[1;31mNameError\u001b[0m: name 'j' is not defined"], "output_type": "error"}], "metadata": {"collapsed": false, "trusted": true}}, {"source": "Oops! $j$ isn't defined yet. Let's fix that:", "cell_type": "markdown", "metadata": {}}, {"execution_count": 27, "cell_type": "code", "source": "j = Symbol('j')\nz = j + 1\nz", "outputs": [{"execution_count": 27, "output_type": "execute_result", "data": {"image/png": "iVBORw0KGgoAAAANSUhEUgAAAC0AAAASBAMAAAA9GErRAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA\nAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAVO8QZqt2u5kiRInd\nzTJDyVNLAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAiUlEQVQYGWNgYGBgVAYSWABLAJqgkAGKgBiE\nxxwRj1WcgSEfr7hZOtQ0qDkw9Q1MDhAJVHGWCfwC2MSZGdZPAIrvvXv30N27V8EqoPbugShnQDWH\ngeEGdnHmj9jFGT9jF+c4gCbeqn/VASjE04AmDubyGcx/ABW3hNJgav6GCmQunM2a4QBnIzEADicd\nAnUB2gEAAAAASUVORK5CYII=\n", "text/plain": "j + 1", "text/latex": "$$j + 1$$"}, "metadata": {}}], "metadata": {"collapsed": false, "trusted": true}}, {"source": "Much better. Now what if we want to find the value of z when $j=4$?", "cell_type": "markdown", "metadata": {}}, {"execution_count": 31, "cell_type": "code", "source": "j = 4\nz", "outputs": [{"execution_count": 31, "output_type": "execute_result", "data": {"image/png": "iVBORw0KGgoAAAANSUhEUgAAAC0AAAASBAMAAAA9GErRAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA\nAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAVO8QZqt2u5kiRInd\nzTJDyVNLAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAiUlEQVQYGWNgYGBgVAYSWABLAJqgkAGKgBiE\nxxwRj1WcgSEfr7hZOtQ0qDkw9Q1MDhAJVHGWCfwC2MSZGdZPAIrvvXv30N27V8EqoPbugShnQDWH\ngeEGdnHmj9jFGT9jF+c4gCbeqn/VASjE04AmDubyGcx/ABW3hNJgav6GCmQunM2a4QBnIzEADicd\nAnUB2gEAAAAASUVORK5CYII=\n", "text/plain": "j + 1", "text/latex": "$$j + 1$$"}, "metadata": {}}], "metadata": {"collapsed": false, "trusted": true}}, {"source": "Nothing happened! We have two $j$s here: the Python variable `j`, containing a SymPy symbol $j$. When we did `j=4`, we changed the Python variable. If we want to substitute for the SymPy variable, we have to do that explicitly:", "cell_type": "markdown", "metadata": {}}, {"execution_count": 33, "cell_type": "code", "source": "j = Symbol('j')\nz.subs(j, 4)", "outputs": [{"execution_count": 33, "output_type": "execute_result", "data": {"image/png": "iVBORw0KGgoAAAANSUhEUgAAAAkAAAAOBAMAAAAPuiubAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA\nAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAzXYQMplU74mrIma7\nRN0SDTw+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAATklEQVQIHWNgVGYJY2Bg//+/gYGBsVOLgYGB\nE4jh5G5VBwYGHgOuv2DBc2AyfgHDRAaG/gsMhQwM8QYMAQwMDxkYljJwVzEwcEVMNWAAADWrDnXF\n0pOGAAAAAElFTkSuQmCC\n", "text/plain": "5", "text/latex": "$$5$$"}, "metadata": {}}], "metadata": {"collapsed": false, "trusted": true}}, {"source": "There are other gotchas with equality testing and division. `==`, in SymPy, tests whether two expressions are *identical*, not equal. $(x+1)^2$ and $x^2 + 2x + 1$ are equal, but not identical. To test $a$ and $b$ for eqality, it's best to simplify $a-b$ and see if it equals zero. This isn't foolproof - in fact, it's been proven that an algorithm cannot, in general, figure out if two expressions are equal! (See Richardson's theorem.)\n\nAs for division, SymPy has its own numeric types. So when you have $x + 1$, this is a SymPy `Integer` added to a SymPy `Symbol`. SymPy will automatically convert Python types to its own when you operate on them, but this only occurs if you have a SymPy type somewhere in your expression. So if you want to type $1/3$, just doing `1/3` won't work since this divides two Python integers - SymPy never gets a chance to operate. Instead, you need to invoke SymPy somewhere:", "cell_type": "markdown", "metadata": {}}, {"execution_count": 34, "cell_type": "code", "source": "1/3", "outputs": [{"execution_count": 34, "output_type": "execute_result", "data": {"image/png": "iVBORw0KGgoAAAANSUhEUgAAAIwAAAAOBAMAAAAPluneAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA\nAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAEJmJZjLNVN0i77ur\nRHZ72Yd1AAAACXBIWXMAAA7EAAAOxAGVKw4bAAABO0lEQVQoFYWSvU5CQRBGD4K5XsgVog2xAWlt\nSNDEaEPhA/gIdLa8AUYLGxOJVFZoqyGhszLS2BNLK55AQzSiDTq7Emdo2C1OZufc/XL3B9a2d3Cj\nU7u3iGv7TRRGa9NXf4Yjim1Jicu06gouiT4MAobMNemGxKxOyB8reGvyZRAw5AZEY4lJepQaCl6G\nqU+DgCE/IJlIjIxWfQ6yKdzOZjBam75yplQmmcqnkDqdA8WqzBWqTdNrZ7pVlt9dSry7aUHnpCA3\n9w/Vpum1N93yLAb2hpKmSPdkqlhsdFNkb2Sdglv5HYOFRo44ckcct8lNFFzBY1MRMOT6ZNyF58cS\no+CnIDGKgHHPb6khMdk+K98K7uCirQgYOGPjUF5apk5rpOCAaGoQMLD++gTn8Fx5sEgqW0MURmvT\nV978AmXV8U3ENsZiAAAAAElFTkSuQmCC\n", "text/plain": "0.333333333333", "text/latex": "$$0.333333333333$$"}, "metadata": {}}], "metadata": {"collapsed": false, "trusted": true}}, {"execution_count": 36, "cell_type": "code", "source": "Integer(1)/3", "outputs": [{"execution_count": 36, "output_type": "execute_result", "data": {"image/png": "iVBORw0KGgoAAAANSUhEUgAAAAsAAAAqBAMAAACXcryGAAAALVBMVEX///8AAAAAAAAAAAAAAAAA\nAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAADAOrOgAAAADnRSTlMAVO8Qq5l2zWYiibvdRH6G\nTkUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAB0SURBVBgZY2CAASEDIIvZ1Q9EMTDkUYMK0StpAJtG\nFvEOBB4QpXXWqo1AdZwBDHINDAxsDxn4DjAw8Ooy2BWAdYMEgV47BSI51wSDKAaGRRfAFJMyUGwC\nA/dDBga+x2CKaQMDz0sGBo4GBrkEoJKroXsZGAAuYx+6av2YygAAAABJRU5ErkJggg==\n", "text/plain": "1/3", "text/latex": "$$\\frac{1}{3}$$"}, "metadata": {}}], "metadata": {"collapsed": false, "trusted": true}}, {"execution_count": 37, "cell_type": "code", "source": "Rational(1,3)", "outputs": [{"execution_count": 37, "output_type": "execute_result", "data": {"image/png": "iVBORw0KGgoAAAANSUhEUgAAAAsAAAAqBAMAAACXcryGAAAALVBMVEX///8AAAAAAAAAAAAAAAAA\nAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAADAOrOgAAAADnRSTlMAVO8Qq5l2zWYiibvdRH6G\nTkUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAB0SURBVBgZY2CAASEDIIvZ1Q9EMTDkUYMK0StpAJtG\nFvEOBB4QpXXWqo1AdZwBDHINDAxsDxn4DjAw8Ooy2BWAdYMEgV47BSI51wSDKAaGRRfAFJMyUGwC\nA/dDBga+x2CKaQMDz0sGBo4GBrkEoJKroXsZGAAuYx+6av2YygAAAABJRU5ErkJggg==\n", "text/plain": "1/3", "text/latex": "$$\\frac{1}{3}$$"}, "metadata": {}}], "metadata": {"collapsed": false, "trusted": true}}, {"source": "And there are things SymPy can't do. Can you find an antiderivative that SymPy doesn't know? Here's an example (SymPy certainly tries its hardest here, though): ", "cell_type": "markdown", "metadata": {}}, {"execution_count": 23, "cell_type": "code", "source": "integrate(sin(x)**sin(x), x)", "outputs": [{"execution_count": 23, "output_type": "execute_result", "data": {"image/png": "iVBORw0KGgoAAAANSUhEUgAAAJgAAAAuBAMAAAAmf816AAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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\n", "text/plain": "\u2320 \n\u23ae sin(x) \n\u23ae sin (x) dx\n\u2321 ", "text/latex": "$$\\int \\sin^{\\sin{\\left (x \\right )}}{\\left (x \\right )}\\, dx$$"}, "metadata": {}}], "metadata": {"collapsed": false, "trusted": true}}, {"source": "You can see that even though SymPy can't do it, it'll still give you a symbolic result - in this case, an unevaluated integral.", "cell_type": "markdown", "metadata": {}}, {"source": "Let's go through some more examples. For anyone in MATH1920, SymPy can handle three-dimensional and multivariate calculations pretty easily. For example, let's see it plot $\\cos(x^2) + \\sin(y^2)$:", "cell_type": "markdown", "metadata": {}}, {"execution_count": 42, "cell_type": "code", "source": "x, y = symbols('x y') # Why did we redefine y here?\nfrom sympy.plotting import plot3d\nplot3d(cos(x**2) + sin(y**2), (x, -1, 1), (y, -1, 1))", "outputs": [{"output_type": "display_data", "data": {"image/png": 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fFN2zjiPwnU58QHUhmexKYQTfB3x5aWn5s2BEIrXkc8/lys89V5z/3d8t4OGH\nt2565hlu/Qc/KEeTyQaCTIHtCKrOhts/3im6JNI1DEPas2fPFbvwhcHBJwAcZYz9lyvc7R8A/CqA\nvyGEvA1Ae638XGAE3dcohO16BGb6Ntu2f5rn+f/HcZzNrut+NJw/trqZ901pddrYZWD7WVEUF6+y\nidfTFSNdz/PyIWynwiyLz14uy+IKx80QLCBe1V4oHX8uXTz6b37SNnj3EJdpTBcYikot/VKjuGQK\nPj9PXf4DM7UxMOBkzTNBgH1mtDPndBLH1UztlMA7nbijZvhOfD0v0q1+YBtITrq+yQ380wjL1O52\nHBUAVF5pb+13k4APTpVqO3rlMdgtvBIZ7z1mLCUAyKf4iL9VdPhYzAWNAJHEmF2PKa4tRqwFIvd9\nh9KGw7jzli3MtNuJwWqkOlS1Vsnna1tDP7jCcW6+2Vw+1ecjEUPq9RIAQBTFfnu9Xhg0WZhMpRoF\n15VOKkq/kcnY+WhUbctyp9frKWTIgnCz2WULosbzdjIsawYAJBIdyTQjAFCTJGNds5lRwp4TarG4\nlHccrRmLdZZk2ZB9nzRk2UzZturm87VkeMwUgOr7y+9Vj+fN7Pe+p1aee04499u/bTp79jR3/8qv\nJGcffljkOG43gswKBZf2VRhc1rJ0/Xp0SaTr+z63Y8eOqx3LwwB+GsBBQsggq+HfA5gGAMbYHzPG\nvkoIeQ8h5DSC6rr/YS0PeATdUCFsNwH4IIC7ARiMsUUAvmEY/zr0UFfPH1sruYwxcRVsa2sAWwCX\n7zTmeV7WcZzHKaVzl8sfvg6tthMugW794r64//Kvfchg9VRPyjRnE51EogHuVF/rdomhPHBXN43F\nfJkjwL52tLPObyePKrlKSSU0kzW0CamRjXa1/iRnRI8bsjHr1LPggQNWpLPZbWbBAQc9rXu328iB\nA054sjFj1XIAUPdAi0Zn+TQ+QulyhKbLseoGOwDaq0pC39kqxTgO0D1LHE/kotNejUABonMbjHUX\n2/IxTrNOQesUmeAvRApL6FuK5djS4Nemkc02BgtyJZ53ikOAlCIRgw8BfCwWa9/damV4ANstK5Ly\nPDYTnPqrR3K5SrZWi1+MRjsdRTE9StHIZqvo9aJGPN7NhdtvcpybGAK8l0q1lUplHABa4d9EAAVd\nT7iaZsxVKkUfwFIk0gHAzEym6jSbaSse18dareXjFJLJjhJmWiiWpfqHD+cWfuIn5ONTU+PCE0/s\ne+A3f/Ms3IBvAAAgAElEQVQziXRawKVNbjYhSAEELj+A9FbPYbsk0kXwdlyxqo8x9j1cQ8UkY+xX\nb/7QLq+3PHTDxuFbEPRFuAtAjzG2aNv2/Z7n/QsAnCiK/yjL8tFbdQyMMdd13a22bX+U47iqLMt/\nJ4rimnlIGIp0fd9P27b9OKV0vSAILyqK8iWO426mj+wAuq/xdJvVM1rpxf/xI5vFUn5fI1d//121\n4g9OFJbqPjhd8Mk71tULZ1uiNUMb2YtU61/gNCMy7khRsZl62CQkJVDx5Xa2uocLF6OEVCfGAlAS\nKWZIfj/wYOV4X/KDMl1DSbWjvfI4AJzXctVdZlAAcVBKe5u65SQI0PHA8uZKRKlISp8zOzEAOKZl\nanu6AbSrFLTQWBKjHLAbhqJMz0rbFo5ykIBX0wVrR7eiHEtqpsmpPdMHWxgvlEjfVMuSbO0OCy8u\nCoI9nOkga5rJh97zsVisfXelkhy8aKrnCQWAK/R6iaOKYm+pVgfVczjA866ZStVdWXYrjNGcYURF\nx5FtgCW63WUvWs/l6tMhOC0AsV4vCgSrqK6iOLuq1TEA6PO8d0ySbFYolFrNZpL3PDHWbi9bJZV4\nvDXbbGY5ANELFyYqX/86v/9LX3pYeOc7f7j1t37rlWShsNrmimClmfw4VkYGDZfyDs+8WyufeDjS\n5Rhj9E5vEfmWhW4I220IGofPIGgcvuQ4zi7P8x4czB9zHOf9PM/fSPPw11UY2e4AMMUYU2RZ/ts1\nhu1AHqU0aRjGbkrpprAM+ascx61FnT8NCzAu8XS77YooLfzsj6NrSa3JZPce2MpSVzTrniW/555O\n5uTJVAMADtYT7ckEB1lpJB5NOZmU6Emv1gulaSEAR9QPgtOODSab3dg5XutVIJmmR8nhRHGp5VLi\n+j45kC0u9VyfmJ7H74sUSoSBVU1GDkWKSzwFLoqJjCJJfcHs4wARnPfYrRw44Dzl7clufTnai3Ir\ni6EL8Vx1Vy8sLWacM3HhJBCmZyma6sZ6UPbAUH+Yyakfrs+DKIAjAXvlRL8ci3c9ohjzHudP2b7Q\n0Q3NdhxxGMCSplm8rgNYiYAHf9MoXY7GzmcytUcajRz6fTgA1sVinWldT5zhOPdwJlNP8zxrxGK6\n3e1GFcNYLjeuZLPV9eHiHRBQcaC2KNr31+t5mTHOJoTuzWYrPCGkU68LCUrFiCzbgwPwACQdR050\nOin87d++88WvfW2P9OSTrz7wu7/7YjSRGPj+fQTNZ84O7Wa4lHdQPfYggtFLwyPmB5fBVOPr0XKk\nSykVKKV3dLMb4C0IXV3XBQTdjT6CIB+vHY7E2eN53gOr5485juMwxqSrbfN6xRjjw0j6EY7jKoSQ\nBUEQ9t0K4Pq+n2CMJV3XfT/P8y9pmvYHHMet5SkfZYyJlNIigkinQSnlln740x9MceeLkzNxs9fh\n/AQH7O8ku+/bXivsnY92JjhD+24/W75/gxGdjhjRvaVCKSVWxhwPSPmG5jLgW614KyMK/j61UDoD\nj9uVaeRm4+AavWjvSTE41X6lny8/igCML5uZ6sNiIw8A+41o551aLyFwQNkmXk7ocTmtJwOAwTLV\ns33i9alqXPCi+hwhZNElmO853JxnqzVwXoZSIeavVK3V4rnGtB78EJyDaE3VLiz3WVBds0JIcIp9\nMDVmPtAuRQgBLL8bn0rl/JlujacK8NXoWKNrmnwLslm3fCbZnljWVDdvmKI4FAEfjUY7G8NcX+BS\nWJ5IpRo7QjjPUSpyrivPhWlj+5LJOm+aET2XK3s8zyzP4xyASQA5H412ZoeyG2gy2R1U4THGuC2W\npRV1PaELgrsvkynBceSBJ1VNpeqbwuwNAPAVxZ77h394+tgLL2zHT/7k8zs/9rFDVyhHvlIp76BK\ncQDjrQhKxxMIsiZWw7iNKy/eyQhOBqDrusLz/J3WMOg1estAN2wcvhNBZJvDCmxfb/7YmkGXMSaE\nY9Mf4TiuMpjkaxjGB7DG74Xv+zHHcR71fX8bgnlnX19riyS0LDjTNH+BEGIjmFGWPHLkt8l0dGHj\nfH3KfObuhdSnvlKoTu6pRWaZ4DkecK6lGZm7WrLaYfy0ZkQHoO15hH6zkqxPx0W/JztiPqmZO9TA\nKlBqmdqsBI5SIMGC3FpKgYRvy4MM5Jiw4i1zYsQQaOCjLgq5+i4WQPqwpfU2SI2cHAVxqBHPUJ7N\nIci/9XPF0la/mWjYYJ/rxRtzEu8fYIUlYjHStDx+CYIzxjypnUi35roBgE8S2ZjtrmQYaL7fJQQq\nAByMZhp7urUMAJgEuId3k7OszQNI7p3baN+/dFJ2osA3+YQjUVe8MFdcYg4jDZ/B6Pejccb4E5rW\nHYZlVBCWCyWOxuOtLe32srcbE0W6vt1WUaupR6PRzmO9XuKMKJrNRKLrCILXppTPGEa0SYg3nHWx\nlMnUtob7iHmeuI7n2fpOJ30hmWzXi8WYWKks94fwAKQcRwKATL2e8z/+8Q9/6x//cdtdH/vYs3Pv\nete1rvAPVykOfyaHpxoXELRzzGNldtugb8fw4t1ypFutVjVJkt6oBb1r1o88dHVdlxB0J/oIgl/X\nBqW0dq3zx8JUMflyf7tWrYJtefXYdELIVfN0r0e+70cdx3nE9/17eZ7fq2naxy3L+rFrqY67Vg1V\nxD0OgJck6bOEkIRt26+cX/i9bVz3+Q+3YzFzK6/LXzs043zo6fn8qcU8S0tu6jvtCeOpe2v5lOry\nRpvTAeDr5xP18bji2glH3BAR6D3R6lhZh8+ZrRQAHKxrvU18kML1aifR2qUGPQ726snW/Xw7BQCH\n+1pvg9DIggcWLc6doM00+ADMMWpLAxx7WlyXadD7YL+XauwmrQwIUHXhj7N2AgTIyCCbNNXd7leC\nCFpNNt9O2mnTB77fl3oW8fgDWnFJdBk5bTNkevVcFAwniNKf6dWWARnhuGVv8ZCarr9ND6yFPgVS\nrSoFAIkDxqcmhB0LR7MAsKBI9B6eMFNh5AKX6HaIqle8eI8YjrTYt8RdQ6XC8lAu8UlN603XVvYt\nRSKG2Osl7nZddbHV4u4TCac6nrg/Hu1WI5Fu3rI11bZVEUBsKL+8HmZhEADT7XbSlSS6ybIiC4VC\nyapWc91ksnPPkA0yn0g0d548uaH/S780c/CZZ15Y93u/970hy+F6daWpxjJWouLB4l0eK5aW8o1v\nfKNYKpU4VVVHke4bpbBx+IMIshHiABo3OH/MQejjXa9C2A5shNJq2A7ppjuNUUo127YfCZ/bgVUT\nKK65OOJqGoxmd133SUJIV5blz9m2/VGe52uU0uTFpS8XY7GPv8vTJhkMx5zXxX4hazFVxtiJBdTe\ntr2fyjUSXkp1tMNLKUqJlnuFW+fN3c2i2+LnlJM11Z7lAntgsZer7dIC24CSeFfmjShjgElF94Il\n2T4vOlVPss7yqSYDYech2jIn24Qx7rAj2vcJvVjfATlnKcajalAAUXFAx4VWcrB2HREFb5CJPC/m\nartDm+K8wztTQiMzuJ8mSQ7xAE0ApFjUfCQ8xo4HlhA0w7Mp/6ob6V5kUd1mpCPaPj/fNcU9ej03\nwEJE4JdBdCSSru8xw1JhCqQaZRcBWFBLF7vTjYUkOIARM75B8uMZ1gNiwA/mZrqtWt2qCVG9bFJP\nszyxLgpO1vUkLx7vKmEjnSWed8aHsie6+WxzrlYZAwfc3+vFx2SOzpnd5IG4YhzSYq2C5aqDksVe\nLlefChfiACCSSvlj1ao2ZppaU1HMlxTR6RL4CRacX6QlySMAop4nRb/ylScOnjoxOflrv/7s9Pt+\nbDU4b0Y2grLcyy3e/SyA1sGDB6f/6Z/+qXD06FFCCFkEcBjA7zDGnhvcmRDypwDeC6DKGNu2eieE\nkCyATwIoImDj7zHG/nwNnweAH0Hoho3DH0IA2wiAmu/7rfBU+7rnjxFCrtteWA1bRVE+LQjC6jHY\nw7rhTmOUUtW27Yd839/J8/xhVVX/K8/z+qq7vW5xxNUUdhfb5LruUwBcSZK+MhjNbtu2j8CjI6L8\n8cf2vpLQf+rdZ7VP/WUWTz9ZzWJBdr92JFN++m3NdEz2RL/SMM534u2zhmC+9775sdNl1Z2gtgwA\nFptmUfEERylge3L2lD9mNTzBMgRPeVVNN0tdW9g800hNJpk436XsYd7KJiRfrPbg7/FlJy/bqkcB\n9BLtWc2MUAqcriWaez3b5KWUuKAL7WnecyuUtJZ0l8tTT5z3FTPPLDUmeMuvf0PJNmZpaB84sjFL\narkBgKMSTxHGryeFTG03GnnIgMT1Y+MC48dI0JbSLBZKNd3wzrB4r2xLVoFx5FQs3VD7vYjGc8tn\nHUfS48bO9pIGBD0iUr3WskVSjiTLu3qBLVKjYHO9hlYgfQF+X92/fot/38JRvqkBPxBTBuGIdF4o\nlIVWL9qJRPTpMEvBAJAyV/o/HE4nmzu77TQIcK9jaWom0dnWb6d/mIt2GmLEYIa1XBa9KMv21Llz\ny5/9Os+5H2hWxxoprXdcjPS7el+9dyi6XhJFa+fC+Rn821/9+VPPP/+tu37n/3r5FreeHJQv7/31\nX//1r01OTu7+whe+0H3++ed/C0HnsdXpln8G4A8RtHa8nH4VwD7G2G+FAD5BCPkkY2xNsyF+ZKAb\nNg5/FEFRgwKg6vu+5zjOU77vb72J+WM2wijk9RTCdqfneQ9zHLd0DbAFsGwvKK93v2FRSpXQItnN\n8/xRVVX/mOf5zhXuft29F4BLWjk+BUAIK/BOrMpTpowxUiq9GD9fa2fu2+QLX/72BvbTP3Eq//Wv\nZauFPOXyRQGZmCd95fvxZi6hOJnxavaBhCLxPGD0Eq1osjxe74JVyjX9QL7YPNV2pUc3LWYKSQjd\ni3PsqWiwaLW/tdm7SzomAEAb4+actJACgAUrV9sVDaLUV5uJ1p5EYD8s9Hn7/kQrkxR9kdIKNCUn\nbZLCRuVmsbRDLWcoBb58IdoqCh6/j+Qr1CV+06DcGZJox91etCenOlEvSFM76ij9OVrLLwOYAxms\ntZ8Rc9VdCCvVXNAx1o2PaVQCOun9ieLSfeE2Dthy33Z6kVfjmZpARbdG1PgZmrUy3YZ4Uk20d1vt\nDAjgUSDprfSFOBfLVff0g+33KJCpLFgAImkByBXSZHftTBYqYErA92Mx6Wxxtoc+9c72TPquei09\niLijsuiQ8Btwkeec6U4zw3HAA04vsVeV3FmxkzgylSv7PVdyI1EWW1xcjpjFVKwv1434uGFEx2FE\nv1XMl8odnk63ggVAP5dpxquBB7/lrz/57pdPHJ6c+8P/96vJqelbmau7nDLW6XRUQRDOM8bOI2gx\neokYY8+HTW6upBKC6jsgPDtea+ACPwLQ1YNRKI8jOG2QAZQ9z4s4jvNOSukmnudfuZn5Y2Gke1Ug\n3ihsh+QimB/1uqKUyuHi3wMcxx2/FouEELI8nPKaD8h1pxzHeZoxFh20crxcb4lB05ujZ/54mosS\nodVTnJlJiZXrWj89bov3bddT538Ybx+6mK0W1jHs2lAtvrw/V7krXyu0dbBO21L2i8WlC6bH/dg7\n6kUAIGcK5UIShFIg6rVMAGrfBpLuRRsSBMsBUsQIZpZRICbLKwtZWowREvz2NFi2OSsGEet+o+Dd\nK1XiANCxwApc0PuA44DZXMTaLlXGAB0vd5ONt4+3M4QA57ugrV5f2ctnq4IveOd0xmQmehm/F7tA\nVWMj38guWxUc5QcAPhdYFcsALrBOcgA9Fkl19sjlccCKHHeU/uNiVVOjlCwmQKue4O4j+ZLocuxk\nz+N323qcMYAxIEZXKuGORjK1PWaw8EUpkNDrFoLFJhyOZdtP2+UkIZAgAdrd6/yzbR4QU85So+tt\nr1WWPeF2NtdY316xEmISTwsWuIJdK7Z4sJdUqXtu3aw9dfa8XBV4e7q9YlksiIL1hNXIihLl991V\nLPXOVzIz3c5yvjBHgJn2YkH7hQ/+XOV///3PFR55sn49n7/r0PJCWrfblUVRvKYOY1fQ/wfgW4SQ\nJQTfx3+2Bsf3Gr1poasH6TWDxuECAtgmHMd572D+mKIoa5Ee5SAcQrhaIWx3hbBdVBTlrwVBuG4v\nixDiUkqvai9QSqUwre1BjuNOK4ry36+0+HcZXXOk63neWDgwMyeK4nOX6y62+tDmLx6Oje86k9v/\nNdZOPugnpEaLvHA6aX/0oaXM174ZbyVV2U5OdON3845CKRDxPeFoNV0/0eDc9z5dH5MkQD6WqQHA\nQo13prTgy71vId7akQhW54/U0vU9qcAHPdRK1Xcng0WpfY14e0d0MQkAZ3TNmxErKQBwPCCtsJWF\nJS1JeRosrp90s7XdsSB/daHHOVN8cxkmEUVyB4F8lcvWnx6v5wEddRs0l1WtMcnULvRAz3UiuifG\neoJH6NmGw2/mjKhLAJEDopy/AmApV93Ngih8NYAtLdlVvbAnAqdYT2iNfJRjAcbz+XLRtdX9fcU4\n7US76zmBHpeyVa3Xi2ncSvrUK0qitcvspAbb1ARiDxp4HiZqb1PlbEQhAJyytH9m1rBjknRCW+ey\ntiNGXKs42M4RLWbd3a0vv16ns7nqu5xqAQBeXhdvnXJVc321Mj7Yj1nItpLdIHp/RC+PfXV9ttzS\nXalgBaXJJ+KRzv16PS8TQPvYL/3suV/8tS9O/dwvr56NdrMiCNZbBpGuKMvy663RXE3/HsB+xtgT\nhJC7AHyTEHIvY2y1XXdTetNBN5zS8Ixt2/+O47iGKIr7PM/LOI7zwdXzx9Zif4QQm1J6iad7Gdh+\n6kZgOyQXV3gvGGOibdu7Pc97iOO4c4qi/JkgCNcbNbwudD3PyzmO82TYg+G7qqr+zTU0vAEA2uU+\ntaW+SPyHP+Rm935VqkcehLKBUP9CJdZJjEvugztrxf0vFJcik+XxL72YrBUyvrB7ZzdFDmRqkgQc\nOqP1NqaD7IRaJ9uYylbGSl3RvthVLUVSSy4hqHEUe1mmSokv1BXOf4VTe+AYV1YFm8lKn4Cji0Kk\nN6E4MkcE72xHYOuTsniIrBPaOhUl4irnSB4xt4mopi6XBtdIoTUtlgoAcLKnGDNKbSg9ayWwP+/l\nqrsiATxFHuxtuW4yL9kqANBMsbRebEaOtgTrRCfemZJFesgvlBTLkm3bFZkAEAKcDyyIoJQ3AHB8\nGWJashP1yhoAnHYlc5bUsxIH7IhZGs8nutv94LR9v632HKcf2ZvMVQSP9ysGJV2P85Og/DGi9Gf7\nK4t3XjShK7oZBYC6D1roVsQxzhRgnRReiqbqkmtqB5JTZrRhRpBOUWXx1LJvFIsrSYSfsq20mypk\nfOFkNNVQWoxLt9rJcXulS5pHgY2Kq4xx3diryUL5ruOVopKLmrIeVAzmrH6s8hcff2axV/7+5K/8\nhwPX8Jm6Vg0amDMA6Ha7oqqqNxPpPgTgPwEAY+wMIeQcgkyJV272QIf1poMuAoP8HZRSkVIadV33\no1eaP7YWCht/S8AyAHeuIWwH+3hN9sIqsC8oivKXgiBctWXdVXTFhTTf91O2bT8RlgV//3pfQ9My\naNN8ac5xI263bfjr97hRyhh6usdfgMY9vqmW6bTBeh1b/r6YqU1uEPz776rkDh/TehvyAWhdK6aX\nKeXabqxTdXx+r6N1tZQlPzrVyKYinnh0Xuk/tc7SVAnk2KLS3zJhJzWJcfN1wb4r00mnNF/sWUA+\nSTCV6McAQI7mKltTC0HRQK1Q2pELTqOfPxftK7Qp7BPGTUYjXJvy2RNSlIpGm1aFKN0onOMB4LCu\n9TZoK6fwEX5loW2R5Wu7pGCBa8kg3oTYTHEccE/GU/yo2LpXDi2NbrS7VezF9va0HjzVqBgcO8bn\ny4plaIucbD5KGgUA6PhgeaxArKul2+tpEEUuBJkU6eVuAVpC3yOXxwArcsYWrccSVOi6FKfdZHPJ\nlU3O84x8r51yqU/GjZWy3nPxXG23Vxv0SEBUEfy7YWnABe1iAn4JXvtgLt+dq9dzZ7SocU/tQmwA\n7+MTc97O7rnYjNCHkQG+ND7VebLeXLbcXk0mG3vswJJ5jFWK39ySrk72OtFLPicqYfd8/U/ef6iv\nK1O/8Xurm4bfqFa3dZSKxeLNVI8eB/B2AN8nhBQQAPfs1R9y/XozQrfsui58358DoAqC8K0rzR9b\nIzmUUsWyrAfDaPPCcMXaGmk5TzesVtsZZj4srcW+CCH+6gwM3/fjjuM85vv+FkEQXgqtmOs+Ozg6\n/2mtLGv8pNLmj5+M9J95ppJ/7gvj3p53XExzB9UyxzHtqy/my488VSsYfd7P9gJf2DPjepUxcq4V\n7XpCX9tyn6VVjivmu7YFX95XjhVKqUIAL8dNdlQpOA13/GRHC//dMDLNmfA+R6uZ2p7xAJLHykp/\nLhqcKlsOkJRWSmMT0Wh3e6o8BvTxcinZfGpjO00I0DFA2h1L2uunHY5LocwrmiC6vmS02FLb89+W\nDHJTKQVinLP8Wi4hV98VVsctGpw7Ka40ouHkSD8l9+I7VSO6r8PRZwqNuBDC80xVcF5hiZag5JRz\nDdvcSntsyXbFOHOlHKdHB8CrytnGNAvH/Tjwx4ZS3tpqpnUXLY8lZEDl2smJhCqPETOyaMF/ycxV\nNxAeeqfvzFh6Isr5y2c6x5jSnzVXIuJSMld7ErUiYsDxqGxc8FR9smuJWd9RAEB19CbC2W0KgHuz\nVLZlJh7g7qZbTh3nomPpGKmvnNVncjJN5mx2ZCna2ar3EgtKtHs3redVHrjvu3/9rv1WX5r4X//o\n+TXIbFjdwFxKJpNXa+v4aQTrP1lCyAUA/wFhsMMY+2MA/yeAPyOEHECQkfMbjLE1bwHwpoOuaZrb\nfN//MMdxZQANRVFevlX7YoyJnudtADBNKTVvAWwBrBRH2La903XdxziOq9zAYtzV5CGct0UpjYT5\nvPfxPP9quMho3shGKaU4Z76iuLpnGevjwozUxnPP5sqb7jfzlDJitU3xJXVKX7/NElJpwl08mq3M\nTJSLLxzOVHXXlNftNCPq8Vhv9/qgckzjRZcQwLKAtBKAstYGLWpBxFbvgBbCf1sOkJZXUqGi8soi\nn0WTXU0MwHywnqrvHgtKWC92OH9CWYGiJovOwL892c3Wdo8FPm9Zb3njCcnJR4LsgfOLM/YBSK7A\npbj5OiMbok5s3qDeGNcV4oK3fAxlZBsDAC/0OXdiCMC8EukLXC8OAPu70c7j2XZW5ACgAyVadDfy\nrXjfAb5eTlXWqQLaXkznTFfoGbZMpWBhakHK1QcLdH0PyPK9yACc58RcbTcJ/jYugd8WceWNpJam\naeDvG/H6tCS6J/upxrTZSluxZDdiBa8PpUCcc+SBB60JnvBIvJHtxyn2kXV6p64LD5q1ZUAfkGLt\n7b2LSZ4DpnAcn5vI1O7X68tRbYMRjIlmcczuIzKh0h+aU32OEjrtBykTEgeM7fvmnlO/86+ETf/L\nn377Oj9yq3VJpNvv96WZmZkrWm+MsX9+tY0xxuoIBlreUr3poKsoyvMA/tBxnPsppYXXfcANaMhH\nfZAQUgHQ1jTtb2/RvjjP89YBmPA8z71FTW98xphkmuZTvu/v4nn+0A2mz12iV85+cab4YE9pHBYd\n07A4oylCjPF8YarG/dMXUvUdjxqpeoka62briX4fdOEiiJfIdFlaoe98+GKaUiAu2hIAHD+j9Ofy\nAfT2nkjVppO9xJlqonVwXrI2FjhWaybbZ8qMzWUJKXdZ+8wSY+tzHNnfi/YWqpQUI4Qd7haWTMvn\neobHnxViHYHZssBzbADWij3evj8dpECdqCnGbHxl4Sgqs+Ww66KZq+3MB3muC23OuS+zJKVVVwQq\n4NRieXOqXKQU+OLxgjWTkpSD3BjjHJ+2TStZcySakxyuyhVbu6SlYLFuFYA5OWKIXPBDc8DIuJvl\nchwAIhKwpciTzVJQdfZyN9l4JNpO72/IJqVRvdon/gmSqSfsbnyBxLp7SLCwyBgQEVci2X1+vHWf\nGCxAchywvqC695LKGNLACy25Z8Enp/1Ee53TSe4VE637/ZWFuFo025hGZSwlAZM4K31r3XTnULvY\nXt+oZZPwRSGpmbyjL9sWd02Krmh3uAPtXHV7t5Y/l86Wd9mBbx33TW5caUr75SxHq8GxAECjMME/\nPP/1xw584n+LTfzC//EcgsboN6JLIl3TNMXHHnvsZjzd26I3HXQJIRaC2m37enNbX0+rFq3mFUX5\nK0KIY5rmmjYxDvfFOY6zzXXdxwkhfQB6JBL55Frvh1IqUUrnKKXrOY479Dr5vNelivTs/ae/LTkP\nvEtPnPh2wr7v3b1894em/sOXN3tTmzp8Imfxxjmud+Zszjp4TmHv/5l6kTGGxqs+BYC9+xKtnTOd\nVLUl2scW4h1zjOt4oiP2Ioxkd7iSJHUkP51sbpxupykFpNOp5qbpVhoApESuumUqGJNDzhRL984E\nC02vnMqXn3wgaIl45LzcF+xW4lU32mHIaHXqsMNmcUnwff5kFyyrObmozLC/HOlsyQX+MqVAXFrJ\nj625+cZ0MvBXzzUFayoS9FLgOGD9GGtvS10ISoXLaf3pHc1kqw+81Ei5uqimD6v3MME2vVNd3327\nfF4DAgviEgBHs75EGyIAHO6qvfXayg+BJouuwAH352z1VV223jXWyPMc0DGBWoP4+/nCkmSBO103\npHfHm8vpa6Kq2jyC2p8Fm3Mn5aAkGgDEZLz3kForUgrsa8dbZUs1266hpeHKDgVSWLFiljyBbhNq\nkVzOTJzSlP6LjWRjl7VSqVfyiTfBmumc4snFfC3/opwrD1svAFBVYrV3RebHX0C+9FC1OtYWZCfj\nnBdFCdj28p/uOF6Y3ZJ/3//P3nvGWJJmV2LnC29evHjepbdlsnxlVtuprumenmEvOUOnXWpXEiGu\ngQBCJHcBgSD2zw5AQISwi+VSJCWsuMslSJBLkUM3w7HkuJ7pri6T5U1WZqU3z/sX3ulHvHyZM+zq\nrj0xm9cAACAASURBVHaSGuD9kwlkZHzPRJzvxrnnnvvPgNBLofxDP99NefQDmS4AUigU3tdT2/+b\n8bEDXQAGMADfDwV03wZsB0Ur3/dFvM824CesRWzbnnNd9xIAjef5L1IU1TIM43/8sNbor7NfiHuR\nENIkhDyWJOmLH9b5N4r3ohu79fzohMzc/z7tz5xr0o8uuyZPZI6LuszwZCO+tSL7u3U6eeYzNDdL\ncy1CCO5fkZqfmK7GN3bk3mZN1g1BCMRsJzp/qavms4b84KHY+8SMIQsCsHgn2jw7EWZsNx9Gm2cn\nQsC991jqTWdDlcFulXKGEyGI+T4QFQ5uetuPd85Ol/JAj7u2FnM+82IxRQhQ78JXJ0TDD3xqsSx2\n94isEVvRWD+glnZs6oWhzkB2Fue0AQg1vFRzgg8B+HGDM8bkA5tGiWdMQoBEBCBdv/vK6GqCEMB1\nwTKppLtlcr5mp71dKkZNiaAaetvWW3VqSNnl90HM5dSuwIRqg0ddQR8XDwCYFUWLpkIg3bUF7eVc\nPSP2DX7MfKZ4V/N6xFM6zaZH5a2Ost/OU+HT9Xk69JDwfUDhwuGXFAUkRF2cTmtKxwr8dT1X3GnY\n9OeCRmY/6y2lxqxz/qoIADOyKXfiamdTk3tG06dH3a66F0tXz1PhEwFDAYxqc74QkHJd6mV9PaL5\nxBeplkoT4IVIJf8WnS0xOvwFLjRc50mAiS/+G+a7lY1vzv/TXy0h5I3zCF0AMwjv9R8G4xpCNQ7w\ng5nuvvLi770XPuxQFMXtdrsuIcT8oJluX/u60Ne+brydQmBfvRAEAT7IxIggCIjjOMccx7kEwGJZ\n9iv7rbS+78v4kL6LfgZ9ts8NFwVB+APP89Ke5x39MM4PAJ7nxb55/6/+sX8ikq6sdF0xw3YREMF0\n1Pb0RTPbucE5K/fTnWqH9p9/rZHefsQ4RydKaq/LoVoqRL8VpGxf1YTzP9qRlKhLPXwzUc6f2M0C\ngGeqXVEMgYenBJPqAw1Hi9b+766ndAWu7zPQSNcXpkJQubkabZ4dC0G61IBXiB04aUUiIva/vvVK\npjI/FnKvhmvxE8Mun4iENo5+OlPkoh67uCt210pybzbBBA97ohGYmiigN+Auu36iNd0H4OUar48p\nhzNUfsAV36jGGgu5eoJEAdfdpaK9Xms61o4BoL+3N9z1AiOyS+VdXaNo13NSm3bUHWY6jC5mzAiz\nJQHApnagXQYAm491RCbkZHc0yhkTm4lkxOEBPbIYyxZzjCEttmINyubNdtvmfCHkhG/bkfZJ4UCT\n3BCTzQmmnFcZYEQu5d14snxVT5dTXZsfc9uxKKUN9MaGC6QkTR5L9aK1CLy3apmiQps/cP+Jcd45\nyVeya4ygr9ZiDYNm7RN9/wxCgFN8JfMlKlE964cgDQDbbLx+sfT7L61+7/gf5j/xjw+rGgjC+Wz7\nxuhHEHacxgA0EYKwAMDudrtJWZbbvu/7+Xz+/0/z2942Pnag2w/zg2S6bwO2b2fpCCCs/CPUATIA\n3rNCot9Ke7QPth7Lst9gWfbxDwH4Bza86WfQJx3HuUQIaR7mhn3fj+ND+K77RbiLlmWdDOZbaCxq\n1enXomn7uyVyF9Hg2ExLqW57Zqno0LM/wieHVntNAKisBnXKKARbTV+ef7khRaIBt3Uz3laiDdX3\nfSQlNgsApTIdDKe6accBLt8Qegpriiu78fp2FZ5E+eRhMVtqtF1YekAeFDOlwPOpRs/Hallt0nDY\nWot1/JEwi9uuZ6oLkyGwLu0I+lh6rV9IBCKcM/isq1q6PtqXk60UOX0sUcsoInD+qKEISkSfGypl\nAeDKarKaFhvx6y21aemcabg+We4malKgRTpBvD3bB+BHVV4fjx5ofSXhoFh3s6I25vOh+Y7rAjmp\n687E2gSoM9crmdJz05Wc6wKXt0THCSj5rjDncZZNVnUv+BFmjQOAuokgSx10fpWoVH1fvma7QJzR\npbgIcl5sJa421caliXbiZjnSpu2IVnI9coaEXLLmAinuoBC5pAnaXKKRjqgBZaaBP91Klp4j/gCg\n71KJ6gW2kQaAlAB6PWXxDkWCnXakMxz0oo9sXh+nwxbryYgpVRmTv1lN1k4cun7W2FT1Z8ar2Tdr\nmdJzjUqOEKDL+5RKO/zQ9z//08XE6O9n517YVwsECMG1iVDKtR/79o9ZhO6B8d/7vd/7F7/5m7/J\ni6LoEkL+I4C7AL4bBMHd/X96N7Ob/jGXAPw6wnuxFgTBpbc77oPGxxp034dfwX5X17P9RoMngu0P\nhR0EAfdeZGl9sJ1xHOeTAMg7TQ7u62LZ95NNH8qgPwnA4Hn+iyzLbvzQYR/IZcz3fb5vqrNA0/Sd\nK7Wv/60mWc9njivs3mXTSkzEBLVDDNdhyNoSr5//UTu/cy3ozB3Vo9deV4vytBeNzhI5eYPsRaJa\ntNv2g3S6yADAd74itmZzmnP90WSwvsuw2YIpMoFEB2PD4vjZJRpwULs+2jt5ciUCAK1rmdLFU6XQ\nwHwxXnv1xWaGEGB5ldPnjzYSD/coR2/yZpO49M1Gpkj7dLBRD3xa5Di2U3VLdcZcmAjlX6YNJOUD\nDrNnJ1pK37/3/pagTeQOsldFJMFkIWAmC+34tbVU5YXJsNhVaSLobXWlRTv0UtjQEdCcLqeDbrTc\n483xQxmwKBzKgCtqcyEfekSEPHJIizAMIEbk5ouZjQwQAikVV71bvYhFqLS/ZXHUCV6XNGcXPOUj\nJgSDbP62Fq/Pxw9sF2WJt2kKOJ/vqTs9XSqMUP5iXW1ylmAWew79GbkxaAk2IrFOpJ89CwxwaopG\nnKqwVxtDjfFuXVAi9A9kkGKUt06IlfyeSDk3qpkyIpSvMKVBS3GLVjufnqtnru5mSgv9QaIGZ3OE\nAM+nKrk3vEwx1zWFc8lQWZKluqrx5V/86VbiL/4gln9Hr4bD9o9DAGq/8Au/cPWll14a/6Vf+qVX\nqtXqXYRafhMh+O7HO5rdEEJiAH4bwGeCINjpG958JPGxBd1+e+9Tge4PtdCuvQew3Y99p7F39W/o\ng+1UHwRZlmW/w7Ls0tv5FuxHv802QNg19lRepP11pvtmNKSfQa88AdTfl8tYnxe+0G/QWN4vwt1t\nXvlvi0XPP3aG5nxRDaJTprD9harh5BNSfrTl+n6A+mbg3JfyhidR1MhsR+613SCb1VXXDXD1W2J1\nciLqPirB5vO0HTnfznK2iYkU0xqZ0IRmLfAZZ8MEINfrQZDNlDgAME0f6RgZtK5GxIhASBMAoGmJ\n9pHxUj4ZD3D1Jt/9zKuNNCFAqQovOyPY2ZTJ+D6Ype8k2zc1tUm5vLm+heD4UECvVQPCoidlowez\nxhzEOvt64DsbUvfI0CGlgzDw9MZ6I125dLqaBTQ0evAzI6KRjxnyVgXeUldpdYMoYTUKxYpJj0Q6\nUd8PM3FJ5M39r+pWJdY9kzkwI5fYg/PfqsZrC7lmisQB3+9BVOL1qUSTf1ylnVs7hd5MTGRWbJYe\n8ktsJJlJkCD8PFa6oj0aqQ9AtUTStXmpnM9IbR5oo15JVRbdTDGmWULSa8ey8kFzxqrGGqPxWkph\ngQuF3cTrRanNgHimh0CgQZZ1Th+TQqVJIeKzPFXJvNVNljWPeDIdbu5tjrdmBJAzY5Xc5a1MKelY\n/Hwq3GQIAZ7PVvJ/bKeL04euypxTzH/9v/7zH5v/l1/7wlNqeAecLkVRniiKlSAIfuvtDnwKs5t/\nAuDP+sNo9+VjH0l8bEEXYfsfFQQB/aR21bcB2/fTQvtURuZBEMB13Qnbtj+JsGnjOxzHPXgnsP2h\ncIIgYJ+m9dZxnDHbtl8BILIs+22WZR++yzrvyWWszwufcRznEkVRu4Ig/N7+JvXly18aKcWEbNTX\nzEdronvymCEvf9XuTH42GWs/0DvKqCNd/2rcOvKqHuOVgLaWDQsA7n8HtZGxuLNUgZc6SujYMTOj\nL/v6eD6c1vv4tlQ7N99IAQSlDaVyfr7f8fU4Xj5/JuRsH95NVZ85WUwDwN17UePo+HbY4lqnUMiY\nh8GYISQU6++UM9X5E+G5Hm+J5gvnm0lF7o8qT6eqxyZDMP3Kd+KVDO+xpUam02sF8B2X3qgK+nDC\nlAJK6fFsaLBzcy3SPjF20KmmCAdGNOu1TOX8eLiWJIAsHO+p+VjoReBt5vam8y3p1gZv7JXlbowF\nHmiZkghkApqyKCo0PLpZirRPpA9NihBZ7wCcldbpQpjJTqc91qJcay65GgeAv1kSu5JbN+9TI3TM\nbkQ0ueAq7AoHhG268chB5vawKenP5mppkQVxXeAvl1PFowR01tdlmgI6QrI1xR5krWo2qp+Ol/K3\n9mINtRsQXRFN5dDfV5l05UdPVnOLu7H6WM8UfT8gw9FKGgA4Bnh2vJL7r2up0uyhfKDsiNqls7X0\n9WKyOk+F73clSFc+N3Zv7vqX/9Xu8Gd/4/JTXKoD9UKtVhM5jnsqu9YnxAwAlhDybYRmN78RBMEf\nfIDzPTE+tqDbz+jMIAiEvuRqEH0nrn0aYfX9gu2heEdP3T4IfjIIAqXvyHXvPYDt4DT9rrQnPlo5\njjNk2/bLQRDE++vcfcp1XDwF6PZ54eN9k/Ju33T9BzTDy9nKMZthuZ4nI077Zm1ZNpOjss+JOtpr\nprkWz9KpYZ6IqkFv3bBbadmjF68kysqUxygnvEJ90WkNzfaSAAHRuLasIA8AURk+IQS9nou9bZ0F\npJ4XsG51jyYuydUDkKBSJm5AMg0Cn+xsMKbr2FBEk2+2EpXnzoYOZfcfRa3Jod0oANg2EFeZAYBp\nes5UhtdjAHB7Se7sA67vA1NjAXNkohMHOrh2N1NaOFnN+D7w7Td4jeEs9mY9V+T8INjtBmRYM+R0\n1GNurCmtsxMHnWoyf8AVr9fSlYXJsIhU78LPqW2V44Bzs5YIPt4815e4bZQjAd21lUUn1qBd3tyx\nEagaFWSFjrrVFvTx2AE/TAuSQVOhRvZRldfHDumMU2m1dzYTAuFeE369Wuvc8XKtmN2JlizBXciW\nBjSEExvjRPYhAUI648QRTpmN7EVubcdaXp3YKbE7KBjWDPhZtaUCwJlCK7HThldpcJbpIhD66glF\nCTXC54dayeWa2FstRruvRSoDUK44gv6p87XMm9uZ0vNcyOWWWLV9NmoUJL6j3l9VWseZbswQQ/rh\nmP7nLy9fu7CbX/jvtt7lkh1kuq1WS2JZ9oNIIVkA5xCaaEkALhNC3gqCYOUDnPNt42MLuvs/fd8X\nKIrSgI8EbPfjbUHXcZzhPtjG+45cdz/AWJwnmt64rpvtm9EU+uvcfC/r9LPnJ37XhyiRVwCA47iB\nsuJw1Jo1rhRrzAUrTke5mMuV/nSpEntxSJgUStzSV9AaeTWT8IlLK3zTb2xwWmmPWMqnE1n7ntmc\nOmbFAYIoS0yaJiht2l6lYovGYr60u+MHw9MM01hNtLeXDO+FzzlJmiZ4dJVunPkJPUsIwcptqn3m\ns3qK5TjsbcI6cdyTo/Eop/UiqN/lhbe6Q93AZe2tJsymlCZU1cX6kknNDPcUsQKJpSlSSDYGj9AU\nM8RxXDgr8caDeOfc8VCOFgJ1WJWnKEBNxDrzc2GhbWOHsV44Acp3PXpxU+6UAkl/0JR1NnCZR+s2\n/SNnDgA4KrqD62WtegDAzR6C3CEaox2M+GemH/KAzW9VKXt0gkYi4nCPdylnpRttWx7V5kyfrtd7\n4vFCfZCt6oi3InwI3HUNfk5sD97brpWqvXIqfPw3beDOA6l0184W80EzQQKbzXAb9v71cLuhGscK\nexGKAs6NtWLXY5N+0zFcpxs1Z6iisEEPtefF3fj+uYtUqvHp+WpucS3WGOo5XNEi3snkwRDN0Zgh\n7zGUt2LF6zN8+HkUqVj7rFqSknIld3UpUzpO1VJyrBEDgBjvcMY4Z3/zQbz68rlmGgAirMfkH/+v\nP97Iz/9uYvjIDyRUPxSDTLfVaokfsINzG2HxzABgEEJeRyhd+3vQ7YcJhFrdIAj4Ptg+0/eYfSwI\nwu8yDPOhdab0hy4O6IV+xnkpCII0y7Kvcxx364POIHu7OWl997RLvu9PMAzzfVEUv/A+PSaeWEjr\nbxyvBEGgcBz3LZZlHzypmPeV+ndONNuOnpmRpd2/LpXH/8nRrPu3u/peLObJBRIIMY15/KV6Dfmk\nUuNceuqimWQ4CjEuMGma4Nbf9roRUUH3/mipvt0lZz/jZwkhcFmqNDSnpQGAmHyZpsO3GJEZZ/+1\n8LSgs5yhAkCvqjTGx+p5AFi7H6mdebaTIoRgd9O0T75AR9SExwOAK0cqoydMud1U/dtvDTtj40Zv\ntRI3SxsWE+U6Alnl2eMTFi2KaYmiQi709vKwOT8XWkVqOpCOHVT4G51kY3w4BOBWz2ZnZmqZaMRj\nAMBKpksrHmNanYi2scnaMxkKj6uxpsp3FFU6MMt5XElXFibDdt2ujiAp1Abk5WElRVT2qWdOdmJZ\n1ZQA4PJKprjpdalNM1lzuy5M3RD2+eG1XrqyUKge0CvyASe81eL1l0400org06UmvO89SpdO0C6f\n9g2JpgAIYouj24PJxhLXax4vVJK2C1zfmYFvOj/g8xyJCRIAnJ9sJbbrjFncSnTP0r3BJrJmpqqX\njtcy5ZbuPtxIVUfpelKQw0yZYYBTM5Xcl+9l9v6b2Uph/3/ykha5npO6XQuBKobZc45rJq58/Rde\nW/i5d+R3D3vpCh/wnv8rAL9FCKER3uvPAPj3H+B8T4yPNegGQWA7jrNgWdbsRwG2h8IOgoBzXTfX\nzzhzLMt+j+O4p7U/fJpw90HX8zzVsqyXfN8/yjDMZUEQvkRRlP1+T/x2hbS+leMrvu/n+1TFu/nm\n4vUHt44HUzFa2zP15GwSVtHqmbLISkcjktLcM0o3UGNH0hTOSHz8Zq8hRKnE+vWORuss1XxQqBBZ\n97PPeTnbdCCKVIuQAOV118iOOUkA2LjjdadnzQxAsHYXncnZbgYAtpehF8ZaaQBo1Xw/M9QdZHUR\nhfb3gblVi9eHxpp5AHh4i2/PHGtmAAJR9qmJWYsemaonAEBHsnjifD1qWTz+4ntqK5M2nDcr4w4x\nwO1VPSZfofjhrE8ebk7588dWQ+PzDpBJGoOMr9VLNqdGw0xzZZPXJ4frqZArbgmskimfmi1nAeBb\nb0aaimgzNxqZEu0Rv6b51FZNMIYTprhUTFUXpqqDjDRxSEmx1UpX56dDINVMIB/TIuNpIwIYkevr\n6fKLk+3E7WWxF5hKt+YAFY21MrLD3yrJnePDB5ywhnhLEcLXmVFBnzzq8rPpZvLmSrTZKnPGVKI1\neE/3KlJvergSdvwxAKv0kB4qB4tb+dIcW8quaIo5O7o72IQClhbOXOjkrmxPaeeoVZmlgV6fcsjG\nAoadriX/5nam/BOTB1QDzwKZGVN81E3Wjihh5r6rS9rFhWpuaSdbegZ9+V5Xbf7owr25G1f/zdro\ns7964wmX5CDT7XQ6LMuyzSddu+9mdhMEwRIh5GsA7iDseP2dIAg+1OnZ+/GxBF3P82jHcS4CGAmC\ngHyEYLsftOu6zzqOIzMM872PyNXMCYIgahjGKc/zTvYnXnwYJuzAoUKa53mxvpXjzHvJnr/04Psj\n2qtz4/jKYs16djw6hpqze8vRJl9LZFtf2e5V05Lbowk3edKL6nULsDv8o8VE0dVZMnGRzXWKhptM\nuQ5AULvjV2cX3DRAELT5pjThFEzdx+6SbwQOQwJwTm07MBxXsgIQVNcdp9v1eRJ4ZG/Vdcan9Ei9\nGjhWj9VPzofA2m4EfiqnD8CYoUWD50M/1wc31NrpZyopgKBRC/x0PjSe4XmCeDJizJwOs+YHd4TO\n/M+Yim5E/csVoVt0bdPenSDEtIWtVdA//fJuBADqLYJ82hpklj0jYyjytgQAS2u8PjF00KmWSknW\nqdlKDtDU63ejrU8/04kFAXDzHmdUCfw7nTmfs6r1+6sOfnyhOeCYo5I9eLK6t52sPjNzULyTBI+m\nKODsUSOy+JhxP322G6t34F/fiteLHm8mtYAajuqRto4gIx9QGTd3ldaZiWaSooDzRzrxa0rGsnj4\nt2q54iRXTXtitCuw+oDPZdQEhpJFdihVzN1ciTUaOmedZDqDrLhKEuXz8WK2EF+VrzwcN+Suwc2N\nlgeAH5dBxY768t1OtnYyWk4BwEo31njxVCuxV2fMnb1Ie1jqqWUonaGILp+bKeev3E5VnlFqmRbP\n2SwLTNN/9Mr2xj9Yz44/93aAenhUDycIwhMdwd7N7KZ/zL8D8O/e7bgPGh9L0LVt+2wQBAlCyBLD\nMGsfFeD2s8GXfN+fJYRsyLL8nz4KC0nf98UgCKK2bf9Ef2z6b+/z1B9G7Ge6hmG81gf0a31Af+qW\nycux2hn3Ua0p//S5dPD1O+Xy+TE1P94wvc3AYPIJijoXiaXu1pqdomG3btBe6hMjgmfafIa2HABw\nd4KqskDytumium36PqOW203iSWrAdVej7VZZYyY/TcWlGMWWVxx9/GVPEaMUU9+xnbFh1oumIdim\nj3yCasUmY7LrBlj/HkxvL2ACl7H2Hprm0DhLtipep7LdoRMxi19fDbyJKULLChXsZ8Pba4nq6QvN\nLAAUd4iTH20f+CAgovO8GeX5gN5eI8Ezn2nnaJrA9334ObVxm04ZriZpq0uwJwoUv/OIliTS5PPp\nziBbNN0xWpGXaQB4tCbok8MHxS6OF8z9eagUx9mffqWW65cc0l4mWXlgcbrTVXrrG5R7fDhgdhuc\nWYjbQkQ8mBRxc11pnZk64FBZQTJpuotMHJTttqMT03RE5h1+8ZHa3NgVjOeHO4MCGiuFxwJhc0Zc\nsYTpnCljtCRfecD3NNcjmk18mQuorSZtD2UPhlLm0+2omGftxb1s6bRSziEAYlFtsDE8c2xD/NKd\nzF4efFxGaO6+3k2Zz8/Vol2DwtL6VHCUXyU9KSZQVAvDaVd4ZATuekXqxQv1OACwNDAz24m+flOt\nn54PnwCSEUOqbv/KP3CHv/lHDMMcLhpzCAvEPhDaOsqy/KHbMH4U8bEEXVEU/xpAzDCMVz9s0xtg\nwKW+1B/78yYhpAqA+bAB9/C8M4Stwd/geX7xw17DsqwXEPJfwfsB9PXKrrhpNUYZhndQMrr02cmo\nrxu+0TZJsSaRyecksX2rAbHHRd1Uik4ebwdcPCDBotWWz9Pq3gPN0uog5r1csbbd4k78RDJL0RSs\n61ZxaN4LjWbaUlGK2eFjqMa3xaiZBwCzzNcK58Pfd+4w1ZkLThoAiiu+NrMQpIQIoU3TkglhW/kp\nJwYAFkkXx850M6YWDf70r0l9ZIoj3fszjqnVW81ih1C3aXPupCPUSunayfkwy91ao43h8QMwY1jR\noulQln3/RrQxd66ToCgC122KPhVtTsyGmtM3v5kv6xGfX2/Gzfq2RyhX54NHInV6xmANd5KLSA9o\nAFjZkN2JoQPdLMPIBsOEXOidR3LnyHg9w/MAUJf4RLp0/Egt0+sBf/btaG1Ipfz7lUxJDHoRihUH\nwLlWYs3RdG3QDFHqpmvz+fDx/NzJdlzO0p4YM8Trj5OVZinwj+ebg83h5p7amD96sOHQSrT38kI1\nd3dZ7qAumjZhg1GxOHDx27FStfnJag6jZenKzWSlU/XJp843BxtKx6DdublmomTwltelvYykRxo+\n3ZzkkE9yPrzRNe+7t7K9E3Mbg8z7yKgW+YY2615MPR7gUCJiC1o61sKhssKR5Mr03377Xz134tXf\nfPPQZfkDDmPdbpfLZrMfmbb2w4yPdD7yRxj7hbQP1WnM87y4rus/YZrmP6UoqipJ0m8IgvBGv+X4\nqSYCP00EQcCapvm8ruu/6Pt+QhTF36Eoagvvo834HdZgTNN8Ttf1XwyCIALAF0Xxa+8ng/7d5W/N\n7xgyywiu0F3XDGY0KluPGnrnwvHMRFzgu49cx2wIreDFFG1v1RvclE/aRQ2tmsduPRh2OrUhNv0j\nQznphJgfG1N5iqagt+0gmnMjANDcMe34iBkHgPqWbcdHjQQAdGq2Hy/YUSD07pWjB9crsaWOECE0\nAGzfZqu5STsGAOUtz06N9BIAIMiE5MYkd+iYnUrPlVkDDHvyc2ImMpcXvndvRCs5CnPl7nTx6o3R\n4s3FeKte8wgArD1itZHJxkEnmcQ6FBWiwN1FtT4+0w0NcWwfw+M+PzqtxSZONXNchgnO/Xg3lr7E\nst+spXtVudt8szJRvLwx1rjxOKF5nkcBwNpWBGOF5oCeAEl6fP/qergqaBMjofIgEgFmpkXnuYvV\n3NwLlRzGbMaIdqUbtUzxfjlTelSKtWJyaGBjWUBCOeCEb69F2jNDjVRcBZk/X88kjnFBL025Nxu5\nYrkr6JJy0B3n+4DS9544OatFZ8/WMjXao/e0tL//92j0gO545mw9Y+cYd6MZG2SWW1qyOjniCHOz\nPbUVR3C3HG1lstXBhpBJBAwZ8Q3dVwZaWtcDMmMl/VZjeEAdtHQRx+d7uRUcGdwLPZP2Y7m/XaiU\nrh2eVfh3pkYkEomPBeh+LDNdHJKMIezD/kDRL1xd9H3/2NtNUXi7OWnvJ/pTIc65rvuJ/rifQdNB\nvxX4A38fhxobXupPnvg9mqarmqadDoKAvFf9sO/7uMIzR/lixaoeGxHzmaLf+2alq16czhhLVa9Y\ntw1tJCkMn+yKAED1um711pDRqgRW/jNqzHV9iIzVBPh4+17PKEzbEYCC91jy+cm6srkIr7fF2ta4\n7Fd2qV59s2ulx0RCtglq611kxwUUS36n/LiNwiRLdxepRm2vR8XjpmpZNFgWiKg0tU8faBWpXpjX\nQonXfdLLT2lpIKQIJIUCIQQMA3i21D36nJEDPNSLnjs5HHEsUSBXV5l2cTXo1UyaUK7OlDbb7MVP\nNTL7JlaRCOPtr/Xgplo7faGTAghM00csaYoAwDAECJTeyWfrOQColOCdOMJZO0HCXm5LvY0ypSWv\nswAAIABJREFUZQwDHLWrS4JryuMj5QEFYAXjjCwtUQCwscs6o0MHBjWtXqrx/HOlAmBE220EVEHs\nXWuoTc4WjUePHfqnXqwPMlNakPX9TFrTgVS8GxnLmzJmSvKVu0LP6frYacjd4YSm3NiMts4dP+iI\nu7Mbq3/65UqqUmdxfSlbtHRTeO5se5AlL+/x+sUL9YxmBMHtpXTlZLqaMciBHebspK58u5suJXmf\nAnocAGgW8dPD3ahOqKDWFYyUYoor9UTt1HONlGV1cG8xVTmRrWU2e9Hi6fPlfCq5Qt9ZTOqncnVp\n05xy5p9bjj3a/I//M7CwhdBtzEFYq2AAuJqmccePH38vXab/n8XHGnQJIabv++870+2PrPmE53lz\nh0a1/x0/zsNz0t5P9IHwdB8Iq0+YCuH+sGTsPa5BHMc5Ztv2y/3Ghj9lWXbn0CH7xbT3lE3//vrN\n6d65mbT4kOqSUpPxWVGSMlHbMEzL3jaa7muTufSN3Z6juNLuF+q11KWZqBFjhPh66JnbW6zXRi5w\nqea65jRXjKbvJ5qmS9GB0+MUpxANhgOoQx7P5ii2V7ZQKPAQMj70to1MPGFGRgPB932kOLYam0Ma\nAHSSKMZOubHVimdvXzNbhaMRqn4PRa2mB5RnU/Z1oSmIPZly1C4vaREAWL8V8ybOtGP7ABmJu4Pr\nprkbrU7Pa3mAoNN0hNnnGCESd3iARY+MFh+3dcst8b3tB6ZdKARUZ9Fv5rNtVY4ccMWP7sSqpy90\n0gBgGD5iSWNQcCrvJKsn50MArpGOOveCICSzlgQA116f9m222nKrrFnftijGqURmdfCSBDS7k8H4\n0CMOAJptIJvRBwnGo410ZeFcNRu6H7bjyKUqd0yph1602yzq3JljB5re+zvJ6oVTB4oGTop1npkv\nFZotBNcepMtagOCwKktUwwke2ZSD7Ivl/F+/kS4W25HuULynAIBGx9uKXMorMhBfqGb+8uup0mcv\n1gaZu+cBsbwharJHldtyN6tqykYjVZ27EErlbt6KNQTTZnWW9igKEEVAnWhHt7alLhJdGQBkyafU\nSccu7YFzonsWAH5q6CvMnbX/vFsY+2c2gCkA8cuXL//KL//yL4PjOP/nf/7n//nP/uzPXkc40XfQ\n1PM0Zjf94xYAXAbwj4Ig+PMn3xUfLD6uoPuBPHU9z1Ns236xX1S6IUnSb1EU9U6+Cva7tQG/Xex7\n5/adv3o8z/85y7JP6rJx8D6cxt6mseGrLMuuvo3W1g2C4D3z0t9gu2fYb+30yGemEuLlFWvvmWk6\n9t3LPY0Z5obO0ord0tDe6xI/O24mjwqETQmCt1g3ubO0XL7Z6nqNwNlYUep6l+bzr6ayTISh/avN\ncu7ZWBwAute6JXGBzgGAs+0XhfmwQ01/zLWz510VAJq36CB32kkDBM1Nx4uNkhTNUIjmwGWmFJI8\nEj7tmNek4sgCnwMU7D2M6rRIKZ3lRI3YsHtVkjZvosOzTdHRhO7RZ+00QNBre0E8bw20qL2a0siO\nhpny7oqv56f0lKSCBSzBMiOl4VNaDoji5uuRVjLHsY17mWJgO0GtqFP0Hd04fsIWV+7FKqcWOhng\n7wJwaTtZOXG+kQeAZiPwx6abJFMI6RDdTxbnzmuRlWLKrGwKHdMxPXM5zY/GarFibagzfyrUD/s+\nEFWlAT9896FqTM/W0jwPAuiRq3ezxeXA14VdRcsJrVj0kNK21oKfS4cuZfEYSGKkFY0rPnXlcbY4\nrTTj1TblTUzWBude22WNT1xqpLVe4C8+yJSn4pVMOtkZnJHngbEzFN7azZQuDFWyPAuyWk7UT59r\nJCkKePhQ7lAdUesSd6ATP3umlfj6N1LlhQvVwTojQ47w1TW1/dL0weYwNtSJfWU5U3rtUthazTBA\nVv314+3Wa7+jxgotANqpU6f+6ld/9Vdnfu3Xfu1HDMOIAvhFAA0Ah9UK72h2AwB9fe7/BuBrAN5e\nqP4hxccSdBVF8brdrvNencZ+aD7YzactKvWbI5460+0D4RHLsj7ZaTb9nYcP3/A1rUgIIYHrFjTL\nItFUyuZV1UkWCkZhZMR6u+aId4t+k8anDjU2vJMHw3vyXwCAWzvrc429zkxyNEma311r6S+My96X\nrla0z5yLx1c26mbPidiXO53ITxyP+ksVnZ5g493Njo2q51mPk5ph+U7uM3KeUBTYW1aJjTAR13Yh\nx8PPUq8aXmQ4CLOniulFh70oQMPsWgGfJNgvOTCcXaVokgEAvxHRpbHQB6F6iw/Sp/vg2XQCtUAd\ncH6m1Mqe9QoAItu33Hb+kzTLcGrctiKoXLE1b1mowvad0nILhXFXdDzX5zgSJIfMwTnMrtKWZkIA\n3n4ELTupDQBBjSvW0KyWBdzYynW6eeLHuHgQ5LC4SfRymw7Mu+k9yjXorQc98vKPtTIABcvyoSbM\nAQBvr6ZqpxbC4pqm+YinDZkQgmzBEcp7SvvcpzshONcS7laVsq3NiT1a74hm2yYvPrs5oCR8OgOe\nbxMAaLcJMnk3nR/SGUBXL1+WuxTowN9M1I8MN5LrpXRl4fRBI0XTTjbPjJUK42Pl/NYma97biLcm\n6OKAG266ydZktJRXo0AuV8n+0R+nip97sTnIoqstzsxNVFPZbMBc+066cjpVS3VBO/uZ87FjWvRb\nr8drc5O9H2iyUKd5/1ElX34uVhy8FnGMpW5s5SsvHtnLAeEYoqDA0YuPEs3zRxpxABjKNpLX7//6\naTX2bz0AlizLzqVLl5Y+//nPf2J7e/t/eTs/3acwuwGAXwDwBYR2kR9pfCxBtx9P7anr+75kWdYL\nnuedo2n6znudD/ZO9ILruuTuV7+aMa9eza3evZtLm2Yu0PV8pdmkdU0zE7VahAY+t5PNlrLlco4A\n2E2lqkqjkaB9n95T1RbxfaJIEmfH464HZBPxuEbFYpobi+njx4/X1NnZ9slPfKIqRyJBf820bdsv\nH2oLfpqOODcIgqf6vl3Xzdi2/ak/XH44sjw0jHxlqREpJHzrQdOKHBujbZaw3d0WcUbn2OG5PTcg\nBPRK2WyZeb3VJFT21dGETwD1QVsjFIXeSlNLTdEpra4He39TqaVnEkH3Fr3X3XSC5EyCqrZJr/PY\n9RKzSQ5dmK2lmpM+EmUaj1CtLjXc7FSCdO5jr73XIQLnoXuDNyhica3Ntps8IaQomsBYjVi5+XDK\nQ23NDxKTGNzMHCNYDBcm+MWbQW3mE2yKEB+m5iIXibXiE4hpbc+7+323kp8QyU7JabX2mowgdCNh\n1xcF14i0xUhPBva54l56PyHieN6m6bBHplOnrZMvu1mK8uD7BJaQqW+aqr1c4bpb9yxzdIxQ1QZD\nhoZa0WjMGTw9rdyLV8480w43Ft+HrPqDDXh7TepceKWX2X96ufztdPlyJVtCx4bbqMonTmwMzrO8\nmamfWjgoYCmJCWn21Iri+z7evJKzOgYvGgYJRDEg7Q6CdO5AxytIDnfyx4z49bV0s+D4QipSlzK5\nAx8GigKOfIpjHvRi3YmmwWXjemSvnWjOHQ89HxYuVTPf+lqycnSyPuCHAUAoyM6SKXQVs8RKQkD1\ndOKRIUNV067w+GG8MT3UTGyWIp2R8920bVH+6nKsMTXcSqzvRtuTLzrp2na80dMaQUQG6XQZh5X+\n4TKAORzUdhjf9733a2BOCBkC8OMAXkYIuh+pEfrHHnTfKdP1fV+0LOu5/jDG+6Io/p/0vlDyPQQh\n5AfohaVvfjPZ++IXJ/3FxfEH9bp6dHd3iAMwCWBrdtbNLi8zowCqPE850Whb6HTUsXI5t5bJlGOV\nSkat15N7qtpSNS2SardjnUikHWgaLZfLYlNR/NbmJssbhtSMxxvdP/szmbFt/gvpdCXBsiQ9M8P6\no6NSYWjosVQo/NXsxYvFkcnJp2lBfldP3X5B8ZO+709brvv9L548mYncuGLuffKZTOHK1YqTjnNs\nMlCcv7pbpn/m2axwbalu5ohqf2lPY16Yi9JJiUk+WKtQNAX3Rkm3ZUvVF+mKXXZdhyQFRySKcj7K\nYCYSNyo9L5bjDCbHR7RSz00uJCw+y8lm2whSfKwrjXJR3/eRcGIV6QSfAQDeJsX4WS4PALXr3Wby\nRzOp1apjGyVHoyzP7t1NNohrU43VLp2ZttShEyxXW2Lc5IyT2S+mqaooh3s1UL7PlMcuIAsAvueT\n4TO8EhvyIwANw80Wc2dc5cF2oFeWnW5UoYm+yJUQtCWYjM7PWREA2LhLuoUZbVBoE0TepqgQgFcW\n2cbMeTNJUQR+2kx6rljLH7NSgIo3/0atD48LVPP+rOsYe7XKrkYfNX0IAoU7i2rjxHw3sX9OUeIc\nQkL2a+0Ro528oKVFORykefX10eI9I7CCsuuk6V1VjDqD73Nri7Vyo+sUAJqiKDgs65396aZ6896w\nJ5VVqtfTvGdfWB90mK2Vh2pzzzcymZwlNRtB8FdfmtF/8tLjwd9vPIx0Rp9tpDmOYHuZ1Rob8Qbk\nzgCUASA6LnkruthKGbspSQyoZodx+OFuYnIC/Ftfz5cuTe/l1quZ6tglMwcQbCZpLt7mzT0rpk1E\nulE5AmpVYOmsTrk7dswYERx1eEZPXPneeOmVuY3cbvX0/ezQhRYOqRd0XWc/SMcmgP8A4FeCfqUZ\nf08vPDGemOn6vi/09a8XKIp6KIri/0XTdOv9LkQIsbrlMrf9r//1Bebb355bNU3uaLmcoxD2Fd6Z\nnLQyGxu87/tQ9va05UzGyNG0L/o+ZRkGW0kkauleTz5RqaR3U6nK0Vote7LVSqypaoPpdhVV0+Si\noljI5YK0aXpVhrGCaLQdp6igxHFmxHXFjOvGNElimt//PqE8j7yVzSbi5fL/8H1CXH1kpDikKJoy\nOlpzcrn2sYsXd+dfe60sSpJ/6D080Wmsvzm96Hne2f2C4r99vHSUancs97mTEfVvrlQa/+iT2cLX\nvlbqJo4H6TOjjNkzAqei2/XJ40FhtETspMTgxmbXFB3FW7Q1u00H9OyM4O625disytMKx/hXixV+\nQc0AALttVvnzUjjKZdet8uelPAA4y3ZZXRByANBY7DbS50LusrOlW/IY3Z+F5oMXGZfhaChDNGfv\nBo3sC+G5mqu+kXolQzNRinu8axvtXbPVDQRIvpDefbStDx/ryL7PwLV9xFJqBgjZpe660s2fD6mF\nVtFx1RGoNE2QHCOSUZfbQ+fcPMCgtELpdILE7j7mmrBg1ta7vm67TiTaVVyd1UeOHgCwJPPuPgA/\nvsE2p8+ZqX3wzxQkPzdjJgETj65x/Ikfp+IP9lTD7fGdUtn0nEW+MTrSitXLnDY22xpwn6YR64hy\nUwaAdjMIhqYcJT1kRwDg5vcLzajA+9VbSmmqsJOutzON3Ext0ILLCnSHoog0eapD+34L97+WaQsP\nR5kTM1sqRQFiUjzoJksQMnIhwlypjPVmhRoZzvUUS45rHFeLAsDIrCPfaMmaCs4FQrrHMIhvRZzo\nzAVfvvzt4cqLE9vpjWq6PvSingOAo692c29+LV+yFJ/bX2jsmBO5+vVENTnRG6gjps7a6rf/IlvO\nXrBT+59l+oQbv78iabr3c9f7BwoI56WhXC7LHMe9q9f1O8R5AH/cf5JIAXitT/d9aDMFD8fHHXRt\nAEwQBBQhxP8h45tlURR/h6bpJ/ZjP01sfPkvc95/+u3nGtsNYW555TUgnJx3OZ+v5cvlVG94yM+z\nMFZzifbJejP2jNlTfb2nvpHJlo7t0wkcZ9iCYKdsWxyr1bJ3s9nSTLmcO95uJ1YSidpQqxWf7HTk\nPZ63ZV2Xjtm2sKcobdlx+FOmKRSHhoJIvR4YzSZ1PxarqTQdpICglE6XVM9j6Uol0dJ1wb1//2hH\nlnv1P/kTfM91Gb1QKKYzmVbmyJFy/uJFenphQR6emBjIavom5c+4rvs8TdMPRVH8P/Zpl29sbJ8k\nlBTgVqNHn53lqC+/2Wo8s6DKm5uGKYMzv7lZIZ+dz1ObVdscpgXnarUddHzPeHZW5h+VbemlYYGi\nKQim3aEVNe9qFoQ0ywVBgPL1XZttWYK5aHeMmmnzDM3YN8ya0dID2nKJcz2oB/BofUvzPMa21FGR\nR400+FEmDwD1Ra2ROS+ESoaa5UWGqUG25beZljAVHmc1fbtwSckxPE1830eUK3jeFOiHW65Wvd3p\nFCYl1G7SvNVtSIe5VruUCTJnmxIA1LdcJzaKweOy15PaubNuHgiE4pKjjb8sC0KE0JauBBtv+IbO\n8UZgu355pUHnx7So6wZgGAq8cJABr91mmxOnjPTh7JimPaRHAnHttmMfe5WOsrxCKvWIs7LHdFsB\n1aXtuhhT2nJ2pDt4LZuP4+WjC/qARpFV2R6b62YBYPXxqFHriQjuGb0TJ7TI40ecVhhvDUD17i21\nNf8ZM0nTBN95a6zR3DScT//Dnez+a7p3O+nkj5U4lgO3tx3Hg7dyzvTzB5I0ADCJDHXGSl+7my8v\nnCxmV3fS1YnzfhYAZj5pZV7/2+ESES1+H/UpioI3TgTiCs5hB1M2r3q1brQ1itLgvVAjMV833C4Q\ngnE07vEPvZPrZ8d/al+VcNhLV+Y4rvuEW/hdIwiCyf3fCSH/BcCXPirABT7+oAuE9o4Rx3FO9qf5\nrn4YXgw3/vA/j6b+6L88M7l896gcBFSFYrCaSVfHKtX0biFnFfKxxJZKOj9e2Y7yGmKvAHgjmy6b\ne9WMQIE8Vy7nvplOVgueT0Pg7BoFvxMV9CRNMO661L1CujTpemwBAVlLxhoZiuUSkiRsB0ErQtNQ\nZVkssSxjmqYpaJqxIcte3nXVF1qt1FY6XSmUy7njANnIZksnTDP52LLodiZTjtG0X/X9gLMsQdja\nGq73erJ19erprd//ferrQ0OfjTuOKw8PV3HkCHf6pZeGsidP7k4cO/YDn9d/+Ma3Z9a447l4/U7P\nT6YZp+56cjzpajE5Jl1ptCsvPaOMBMuG5Xhg725p2rFJyaZBSZdyKiiCqBT4Pk2h9o2lTkQWWOOW\ns6dv1ogyl+WdbWIwTqLNvZrNBQC4xXJROB/LAwB9rVqMvKzmAaB7pVJTf3IkDQCbN6uaKDFKd5Vt\nEtN3zJblBfeFXbg201zpBZkTdELMyWg+NvXIFH/QIkuxJsPTKgC0bxJPPUviFEUgZAI5czLmiJNs\nDBDQuiaUqAxJPnhMGvqubjOBS3dv8KKk9CSql/STox0eAGrrvp+YcA+AxxI7QsSVAaC+4WuTz9MZ\nXvYpgIJDcmV1zhEf7frGzh27nSmIfmeRr9BBMyIw7IAD3rgrekOzB9kxoWSD5XUVALpNODPPIS2p\nPgvEcesbiVLOY0E2dMTkckyKHTTsPL5Pa/nJzgDI241Ie+6SlXesRPDmg0Jl577m/ehURd4vThI2\nOmhJnn7WS1xHvnT5erx0YnYvocZczqXSJsuVWABIj7jYKSVbD1ZE7ry8FhUEn+xuJ4PcUTsjKxTM\ns0z2jeuTbYf1+AQOFJfcqMDVaxErCPYGY6haetygUpRaK5u9VNaMeF6AisMK6jAVKe3KndyQFjVN\nBB1RVFo94mb1ni9IoIIgAE8+fefQLTroSGs0Gu9oYP5uZjdP+r+PKj7WoLtf7TcM43/qzzz7wP65\n1cdLkvXvf/ml+Xuvn7/tp2t0ENrkyQQIRhX5zTHV+6nGY57qlPAsEH0rmy2fK5ezBECW2Pzl8Uwp\nR/k052vSj6GeXhKypYVGOQcfeMxIvagDkrF0+XkPuB7Nlk9WytlnAVxNF5rH1tf5BSB3b3zcH93c\npJ7zPNyLx9uj7Xbsou/Tb8TjNdswxILr0uvpdClD01Bdl1pPpSqjjUbSq1RSTjLZOlKvJyuy3CMM\n43Q0TSwlErV0MqlG2m2qSVE8uXFjznr0yP/+N76hUfX6TCOTicYSiXZ2fLzCTkzUvzT1/BEG983S\nq59NDd38y2olMqekCzWK+pOrpfbPXMxF7i61dM9itDeKVVw8FfdUkSk8apmG60H/4u1aZHaCN1ZY\ng0kOmc75QkavtD01zRlkKBLx1+q6cExNAIDxuKlHpsQUABg7HVsa52MAYGsWhBRPk34JXKb4buSY\nkgOA9pVGNf6pfJ4Qgt5Oz1GGphwnxnBrO6ahrbfbMVsJqDWLNB9XaHWURBVbBigKvMIRigqLaa17\nbjlzQcgCgN6wfLlAR+QMwyKDhNkSi8n58Om3tCxaPqGMxsNck3ZctFbbbGrcVIbnCNfepIL4hDd4\ndGe8mMfLGgUAu/ecXnraT9M0hcQoLeottZM65RWACHbv8B1TgnJ7iavQFqj2lq2A1zA+S/idZWiZ\nCX2QjRodpZ2dNvIA0Kl5/ugcqySGbBlgcOe7w/V4TgxqN+1iIlKMubbaFuW2DACu60PsAzLLg4gx\nIzH2kupcW0s00Gx5KbUhZ8c7g3XWlih99ISdFiMU/WAl39OuaM2ZhYOWaNv2ISQDNj/pqlcXR2qn\nJouRUk1oDo84eQAQJAr1YUlq7coA1gf3UrOXZOPzduLe7Xzl5JlSptWgbTpHUqlhml26kWmcV7b9\n3S21OXKWSVIUheWbaTeW0P2N9WQtNxfy+EvX08Uz89V8aTNWmR36F4cHVB720pUYhnmigfnTmN0c\nOvbnnvbY9xv05z//+Y96jY8kOp3Of29Z1r8EQLMs+2VRFL/7Llrbdwzf9/HWr/3Shcz//is/OV1a\nnuQQUCNEi7whpeu1dCawUx53himxI0GDPOIz1ZylyXYAGLJgfTca6QRxjzoe05TjkqbsCkp33mkl\nBBqIu1rkgZyp5ExNjnoOd40TdZPhrZ4iay6NYEmSu7aq9OSIJNzNZVg/GXd4y+jek4QWoVlXchzu\nrqL00oYhTpmmXE8kmnP1evqEristWdaeqVZz07oulxKJWoSiAo2m3baidCSOcysM4w2ZpjjV66lu\nPB6Mb2/LQ72esJPLtVSK0ro0bXqiaAimKfZ0XfCWlib1q1ePm/dux57/+v8tTX7pj/ye5igj998w\nOiQD6XjCdV2PYndrRuu5+VROq3e88aTKfPGaJSkprmOKlJqLs525vMRs131qLh4lDE2E+3tl7lg8\nCQD8ZqvGTigxAGC2u3VmVFQDzwOWO2VxVkkAgHmjWZZPRVMA0Lnb6MjTUpziKGJ3rYCjKYeNsQIA\nWMtWRZqREhRNQd/WzejpeJwdFqPICgpFRF08nVVrRdrYfF2ryWpabu059cqjjuU5NhsbFwQAaN7z\nyvGjXNh2vGe6YpxmWZliAUBfJ9X0OTHNpelIT3dp5WhUYMfiXLkoGjsPUXWCWK+9xzqrV7p+fNyU\n5RhNAMAuJSll2KIBYPeeryemApVmw1RPL3PN7DESF1OQW00X6bOsGKgKvbUVbW8s8V3blvVGyaB9\n10MkCZ6Xw8Ro+75YGTrqDnhPw5C1/FE3LeeJslsV3bYpe7Wi0OOYrrj2QG5NnnIS+9nlxqN4OTfj\nxpWkL0aGWPn61VTVNmgvmzdEQgi2t9K19JgbBQAlSXHb9Vy33VCZWLRL/T/UvWeQZNl1Jnbufd5n\nvvSV5bpMd1d73z0Gg5kBBsQQxGABAgOQXC5BUiCD1P7hRkgKUREK/VCEtNRS4mrFXbngUhS5kACR\nAAmAgp/BAJiZ9qbaVZe36fNlPm/v1Y+cLgxBAuAuAYpzflW/vP2yIivv9879zne+wwsEL94weuNH\nMxMhBMYYku/dk10/okxlguxTMhtrejt/hhpbN/hWre6rvaYY+zleUnQGhQKnRLsa6Vvl1JgbPQz0\nGpaWr8ktJ5GIPs6qj69t3RYbnVBmtXFOBgDwAYusFwVB59krZf09b2/2uQQAdwHAfeONN2a3t7d3\nf+mXfumL/6H7/+8z3rGZLkJoRxTFP4mi6H1/F7AFAOitP5KDf/VrL763dePYdb3Yyff8VKYZe780\n6dVUr+CgLBzr+AAUQGMBaXiofjFfbkzLrn5M7hUOA8DrYaVJvJaMEcBF2qp+Uym1JxmCY1GIh5Dg\nP5WLzXlsmc/Idu4ezfUngoExhwjbThFxtHEya62xJzKAa2qlfwFa1QsA8Hq10rxgD/Jnqaf+36bZ\nnk1CuYJT9rJQah1g2CwfZ+hqudiesF3tUK9XdIvF/ulut7QjCD7PsuRpz1Nf07RhWCigEs/zm9PT\nXn44jKY7HZWY5mC+3a71BMHnOS7zhkN9wzAGIS+LakrEHVUnh7ZWufrGMrQnJ/X3/dEf49W8IbuV\nCk2fOFa2vvpqFKuiSu3nYvnwvLB9qAL5qw+H3rmKQQkBBRPWvtcGpp1kYk4xswfgDtaaqTBrKtk6\ntoOlRiodNPNoFyfxWjdSxgqFwSYbJm075jmDC1aEHkqyNNpFhFDWRVkKznIHabOS7IVBymEcS3Py\nvjSKJazPKqwGAGBfH/TMs3oJYQScyUnmyVKYTjMMA2Ypu8o2hSNSZWMtscMdz8dUoPE10qbI1YRM\nGOgXRnzwYDOMlAPsPn9KLG4gHmBqAABxmJHq00ZZ0BkWQAAOxEZfAaGzAsP+QyswS5QfXudEteAq\nLKkwvOxgAID2fUjzc+k+b4piJeTlSAZgUAaxMPEuRZFymCOZBLe+EjbLkyJFWwHiUNfIFdn9gvHK\nTTSoH4/3qYTU06yp88kYgADN9lSw2aEhWrSdQycizfcIKGWyr0CwWlk2fZ7LKQVNvnI338bDhlA9\nGO9rfn2PgFJFSnGKyPfu1/263IsYWU0fqycAAEAww8TEemPTGtSm/Jxj4QQXiMnzHJAjQmXxZqEF\niCO5U6PPS8sjaAyYuNtJ4mNvK3zz41q1tS2nNfgeM+CIqkJYjj5WbZljLHfvtXLnQunXbn7ftn27\nl67AMMxP0tr1xxrvWNAVBOEGANTjOP47md68+Ye/c/jYq7//wnRqmYAAzivd0it83WU4Xn6aW1dG\nJ9yedL08lehdK3Fysj0mNUtP4Xa14ZW6kPoKAMBFvlX9clJqTWgsSZiQP851Spuk0rpFJI2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gLGCHLH+PL6GyWLZ4WEb3fSXJlh95ZSXzlASwAAxiw27UaObj0IoHT2e/vHaop29UmjtvLAtQ8k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\nN8/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XbxLZ7fhCBF0Poo2MbQMQA93ImH5+mIhiATiaIAYA/ynmh29EryvR2tpa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\n", "text/plain": "<matplotlib.figure.Figure at 0x7fb3d5ba76d0>"}, "metadata": {}}, {"execution_count": 42, "output_type": "execute_result", "data": {"text/plain": "<sympy.plotting.plot.Plot at 0x7fb3d5fb9a10>"}, "metadata": {}}], "metadata": {"collapsed": false, "trusted": true}}, {"source": "And since we found the area of a semicircle, let's find the volume of a hemisphere with a triple integral:", "cell_type": "markdown", "metadata": {}}, {"execution_count": 112, "cell_type": "code", "source": "rho, theta, phi, r = symbols('rho theta phi r')", "outputs": [], "metadata": {"collapsed": true, "trusted": true}}, {"execution_count": 115, "cell_type": "code", "source": "integrate(rho**2 * sin(phi), (rho, 0, r), (theta, 0, 2*pi), (phi, 0, pi/2))", "outputs": [{"execution_count": 115, "output_type": "execute_result", "data": {"image/png": "iVBORw0KGgoAAAANSUhEUgAAACsAAAAqBAMAAADYL79WAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA\nAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAIpm7MhCriUTv3c12\nVGZoascqAAAACXBIWXMAAA7EAAAOxAGVKw4bAAABR0lEQVQoFW3RO0vDYBQG4DexaU3amuriZoNF\n3aSDgyCKuDiJ/QetQ/cIQlEEgwgFFx0UHOPSrq5ubRdBB/MDhGZ1sooBlxJPCbk05zvTOU/efJcE\nWKhsgJfSwIXFOVuDestZtZH95Zz3hExBzcO77/s/qXduzNzJx1K/lOIODnBc2E2pbBBU6UTTNaAx\n09AizA2a1BcNzEN29Si9jgrxHtBHvaZbYXwNX4DUba3aeIVqhoxJOk8ntrGDbMzKXZxIdG+9xJBo\nJ1sK6tDhSCuXXc54xGd0h+Bxu9k+x/7LUSpsbjnPKaIx43RwFTDdJqyRovzxLElxJGT5ScjJ75UI\nlK3EELfXcUvdYmt7ag4GycDQ5V4YQ7c5zz6gLj6ZaBFA6fI16O+frYgYOLWErt5zlkqYGXPWPSGr\nVWjfPD3nYtjjjMvlzZT+A+71Uea7lM0oAAAAAElFTkSuQmCC\n", "text/plain": " 3\n2\u22c5\u03c0\u22c5r \n\u2500\u2500\u2500\u2500\u2500\u2500\n 3 ", "text/latex": "$$\\frac{2 \\pi}{3} r^{3}$$"}, "metadata": {}}], "metadata": {"collapsed": false, "trusted": true}}, {"source": "We put a variable in the bounds of integration, and SymPy handled it without any problems. Let's see what SymPy integrated to make sure we did it right:", "cell_type": "markdown", "metadata": {}}, {"execution_count": 116, "cell_type": "code", "source": "Integral(rho**2 * sin(phi), (rho, 0, r), (theta, 0, 2*pi), (phi, 0, pi/2))", "outputs": [{"execution_count": 116, "output_type": "execute_result", "data": {"image/png": "iVBORw0KGgoAAAANSUhEUgAAAOQAAABNBAMAAABEatWYAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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\nlzb7Oj7pMzISacf0Fv6axHObtcAH/AUmjMKKXHkqjAAAAABJRU5ErkJggg==\n", "text/plain": "\u03c0 \n\u2500 \n2 2\u22c5\u03c0 r \n\u2320 \u2320 \u2320 \n\u23ae \u23ae \u23ae 2 \n\u23ae \u23ae \u23ae \u03c1 \u22c5sin(\u03c6) d\u03c1 d\u03b8 d\u03c6\n\u2321 \u2321 \u2321 \n0 0 0 ", "text/latex": "$$\\int_{0}^{\\frac{\\pi}{2}}\\int_{0}^{2 \\pi}\\int_{0}^{r} \\rho^{2} \\sin{\\left (\\phi \\right )}\\, d\\rho\\, d\\theta\\, d\\phi$$"}, "metadata": {}}], "metadata": {"collapsed": false, "trusted": true}}, {"source": "What do I use SymPy for? Checking things on homework. Sometimes it's tedious to do a particular bit of algebra...", "cell_type": "markdown", "metadata": {}}, {"execution_count": 131, "cell_type": "code", "source": "expression = \nexpression", "outputs": [{"ename": "NameError", "evalue": "name 'a' is not defined", "traceback": ["\u001b[1;31m---------------------------------------------------------------------------\u001b[0m", "\u001b[1;31mNameError\u001b[0m Traceback (most recent call last)", "\u001b[1;32m<ipython-input-131-5fa64ac7afcf>\u001b[0m in \u001b[0;36m<module>\u001b[1;34m()\u001b[0m\n\u001b[1;32m----> 1\u001b[1;33m \u001b[0mexpression\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0msin\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0ma\u001b[0m \u001b[1;33m+\u001b[0m \u001b[0mb\u001b[0m\u001b[1;33m)\u001b[0m \u001b[1;33m*\u001b[0m \u001b[0mcos\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0ma\u001b[0m \u001b[1;33m-\u001b[0m \u001b[0mb\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m 2\u001b[0m \u001b[0mexpression\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n", "\u001b[1;31mNameError\u001b[0m: name 'a' is not defined"], "output_type": "error"}], "metadata": {"collapsed": false, "trusted": true}}, {"execution_count": 130, "cell_type": "code", "source": "simplify(cos(x)*tan(x))", "outputs": [{"execution_count": 130, "output_type": "execute_result", "data": {"image/png": "iVBORw0KGgoAAAANSUhEUgAAADcAAAAUBAMAAADbzbjtAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA\nAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAMnZUZs0Qu91E7yKJ\nmaurDqYVAAAACXBIWXMAAA7EAAAOxAGVKw4bAAABKUlEQVQoFWNgQAdboALeUJpxEUIFdwGUzbcB\nwmD8g5BkhYoxsAUgBGEsXxiD4RCcBWd0w1lZEBa3IFyEuwHOZJ3AwKjsFLD9H4PoWiE9BaA40wUG\nBjal15OAZvJeYEhnYGhgiGNgaFfg/g2UZHdgYMhh8FBoZWBgCWCYlcCgwFDHwFDFwPAFKMlhwMBw\njOF8gjUDA3MDA8d3bQaQZCkDwyegJNcEBoYEhnAgi4HxAwPb0f8XQJLlCEkICyS5jYHlJ5IkyFgG\nxo8gnZwNDEYMDE+QJEEOMmP6wKAGdpBVAkM1yEyosTwXGDg/s3/gBqrhPcAwx8lngtz/Z3L/H5r/\negA2i+2Rmq4L0FhWASCBChDBtwNVAsTDG/DsG6AasEUZPLLhqpBNR0omACUOR3UP731RAAAAAElF\nTkSuQmCC\n", "text/plain": "sin(x)", "text/latex": "$$\\sin{\\left (x \\right )}$$"}, "metadata": {}}], "metadata": {"collapsed": false, "trusted": true}}, {"source": "Sometimes there'll be something I want to check that I can't do with a calculator.", "cell_type": "markdown", "metadata": {}}, {"execution_count": 135, "cell_type": "code", "source": "t = Symbol('t')\ny = Function('y')(t)\ndiffeq = Eq(y.diff(t, t) - y, sin(3*t))\ndiffeq", "outputs": [{"execution_count": 135, "output_type": "execute_result", "data": {"image/png": "iVBORw0KGgoAAAANSUhEUgAAAOYAAAAvBAMAAAAFo6v0AAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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\n5YTC2uoUpxWx5cQP+z8pjSIMeC4CzQAAAABJRU5ErkJggg==\n", "text/plain": " 2 \n d \n-y(t) + \u2500\u2500\u2500(y(t)) = sin(3\u22c5t)\n 2 \n dt ", "text/latex": "$$- y{\\left (t \\right )} + \\frac{d^{2}}{d t^{2}} y{\\left (t \\right )} = \\sin{\\left (3 t \\right )}$$"}, "metadata": {}}], "metadata": {"collapsed": false, "trusted": true}}, {"execution_count": 136, "cell_type": "code", "source": "dsolve(diffeq)", "outputs": [{"execution_count": 136, "output_type": "execute_result", "data": {"image/png": "iVBORw0KGgoAAAANSUhEUgAAASkAAAArBAMAAADWCGMOAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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\nAAAAAElFTkSuQmCC\n", "text/plain": " -t t sin(3\u22c5t)\ny(t) = C\u2081\u22c5\u212f + C\u2082\u22c5\u212f - \u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\n 10 ", "text/latex": "$$y{\\left (t \\right )} = C_{1} e^{- t} + C_{2} e^{t} - \\frac{1}{10} \\sin{\\left (3 t \\right )}$$"}, "metadata": {}}], "metadata": {"collapsed": false, "trusted": true}}, {"source": "And sometimes I just want to play with something random:", "cell_type": "markdown", "metadata": {}}, {"execution_count": 137, "cell_type": "code", "source": "from sympy.crypto.crypto import encode_morse\nencode_morse('SOS')", "outputs": [{"execution_count": 137, "output_type": "execute_result", "data": {"text/plain": "'...|---|...'"}, "metadata": {}}], "metadata": {"collapsed": false, "trusted": true}}, {"source": "# NumPy", "cell_type": "markdown", "metadata": {}}, {"source": "If SymPy is all about symbolic mathematics, NumPy is all about numbers. (Hey, the names make sense.) NumPy provides *n-dimensional arrays*, like Python nested lists, but way cooler. They're faster, they support lots of convenient operations, and they use less memory.\n\nNumPy is like MATLAB, but it's better than MATLAB because it's Python.", "cell_type": "markdown", "metadata": {}}, {"source": "Let's get started by importing NumPy.", "cell_type": "markdown", "metadata": {}}, {"execution_count": 47, "cell_type": "code", "source": "import numpy as np", "outputs": [], "metadata": {"collapsed": true, "trusted": true}}, {"source": "And create an array:", "cell_type": "markdown", "metadata": {}}, {"execution_count": 48, "cell_type": "code", "source": "array = np.array([1,2,3,4])", "outputs": [], "metadata": {"collapsed": true, "trusted": true}}, {"execution_count": 49, "cell_type": "code", "source": "array", "outputs": [{"execution_count": 49, "output_type": "execute_result", "data": {"text/plain": "array([1, 2, 3, 4])"}, "metadata": {}}], "metadata": {"collapsed": false, "trusted": true}}, {"source": "Pretty simple. What can we do that's different from a Python list? First is something called broadcasting.", "cell_type": "markdown", "metadata": {}}, {"execution_count": 50, "cell_type": "code", "source": "array + 1", "outputs": [{"execution_count": 50, "output_type": "execute_result", "data": {"text/plain": "array([2, 3, 4, 5])"}, "metadata": {}}], "metadata": {"collapsed": false, "trusted": true}}, {"source": "In Python, we can't add a list to an integer. But NumPy realizes that the `+1` can be broadcast to each array element. This works for all sorts of operations that Python wouldn't normally accept. ", "cell_type": "markdown", "metadata": {}}, {"execution_count": 51, "cell_type": "code", "source": "matrix = np.array([[1,2],[3,4]])\nmatrix", "outputs": [{"execution_count": 51, "output_type": "execute_result", "data": {"text/plain": "array([[1, 2],\n [3, 4]])"}, "metadata": {}}], "metadata": {"collapsed": false, "trusted": true}}, {"execution_count": 53, "cell_type": "code", "source": "matrix + np.array([10,5])", "outputs": [{"execution_count": 53, "output_type": "execute_result", "data": {"text/plain": "array([[11, 7],\n [13, 9]])"}, "metadata": {}}], "metadata": {"collapsed": false, "trusted": true}}, {"source": "Here we created a $2\\times 2$ matrix and added an array to it. NumPy interpreted this as repeating the row, making an appropriately sized matrix, and adding the rows.", "cell_type": "markdown", "metadata": {}}, {"source": "We can also pretend that arrays are really normal numbers and do things like multiplying them:", "cell_type": "markdown", "metadata": {}}, {"execution_count": 54, "cell_type": "code", "source": "matrix", "outputs": [{"execution_count": 54, "output_type": "execute_result", "data": {"text/plain": "array([[1, 2],\n [3, 4]])"}, "metadata": {}}], "metadata": {"collapsed": false, "trusted": true}}, {"execution_count": 55, "cell_type": "code", "source": "matrix * 2", "outputs": [{"execution_count": 55, "output_type": "execute_result", "data": {"text/plain": "array([[2, 4],\n [6, 8]])"}, "metadata": {}}], "metadata": {"collapsed": false, "trusted": true}}, {"execution_count": 56, "cell_type": "code", "source": "matrix ** 3", "outputs": [{"execution_count": 56, "output_type": "execute_result", "data": {"text/plain": "array([[ 1, 8],\n [27, 64]])"}, "metadata": {}}], "metadata": {"collapsed": false, "trusted": true}}, {"execution_count": 57, "cell_type": "code", "source": "2 * matrix - matrix / 4", "outputs": [{"execution_count": 57, "output_type": "execute_result", "data": {"text/plain": "array([[ 1.75, 3.5 ],\n [ 5.25, 7. ]])"}, "metadata": {}}], "metadata": {"collapsed": false, "trusted": true}}, {"source": "Of course, you could do this with Python lists using map or list comprehensions. But NumPy simplifies it greatly - and all these operations work for arbitrary-dimension arrays: ", "cell_type": "markdown", "metadata": {}}, {"execution_count": 61, "cell_type": "code", "source": "cube = np.array([[[4],[3]],[[2],[1]]])", "outputs": [], "metadata": {"collapsed": true, "trusted": true}}, {"execution_count": 63, "cell_type": "code", "source": "cube ** 3", "outputs": [{"execution_count": 63, "output_type": "execute_result", "data": {"text/plain": "array([[[64],\n [27]],\n\n [[ 8],\n [ 1]]])"}, "metadata": {}}], "metadata": {"collapsed": false, "trusted": true}}, {"source": "We can still index the arrays, of course. Like in Python, you can grab references to parts of an array and update them:", "cell_type": "markdown", "metadata": {}}, {"execution_count": 64, "cell_type": "code", "source": "cube[0]", "outputs": [{"execution_count": 64, "output_type": "execute_result", "data": {"text/plain": "array([[4],\n [3]])"}, "metadata": {}}], "metadata": {"collapsed": false, "trusted": true}}, {"execution_count": 65, "cell_type": "code", "source": "cube[1]", "outputs": [{"execution_count": 65, "output_type": "execute_result", "data": {"text/plain": "array([[2],\n [1]])"}, "metadata": {}}], "metadata": {"collapsed": false, "trusted": true}}, {"execution_count": 66, "cell_type": "code", "source": "cube[1][0]", "outputs": [{"execution_count": 66, "output_type": "execute_result", "data": {"text/plain": "array([2])"}, "metadata": {}}], "metadata": {"collapsed": false, "trusted": true}}, {"execution_count": 67, "cell_type": "code", "source": "cube[1][0][0] *= 3", "outputs": [], "metadata": {"collapsed": true, "trusted": true}}, {"execution_count": 71, "cell_type": "code", "source": "cube", "outputs": [{"execution_count": 71, "output_type": "execute_result", "data": {"text/plain": "array([[[4],\n [3]],\n\n [[6],\n [1]]])"}, "metadata": {}}], "metadata": {"collapsed": false, "trusted": true}}, {"execution_count": 72, "cell_type": "code", "source": "matrix", "outputs": [{"execution_count": 72, "output_type": "execute_result", "data": {"text/plain": "array([[1, 2],\n [3, 4]])"}, "metadata": {}}], "metadata": {"collapsed": false, "trusted": true}}, {"execution_count": 73, "cell_type": "code", "source": "matrix[:,1]", "outputs": [{"execution_count": 73, "output_type": "execute_result", "data": {"text/plain": "array([2, 4])"}, "metadata": {}}], "metadata": {"collapsed": false, "trusted": true}}, {"execution_count": 74, "cell_type": "code", "source": "matrix[1,:]", "outputs": [{"execution_count": 74, "output_type": "execute_result", "data": {"text/plain": "array([3, 4])"}, "metadata": {}}], "metadata": {"collapsed": false, "trusted": true}}, {"source": "What happened there? We can index the arrays in multiple dimensions. The first time, we asked for all \"x\" elements in the second column (the \"y\" dimension). The second time, we asked for all elements of a column in row 1.\n\nAlright, enough basics. Let's draw a Mandelbrot fractal!\n\nThe Mandelbrot set is defined as all numbers $z$ under some threshold after this formula has been applied to them multiple times:\n\n$$ z = z^2 + c $$\n\nwhere $z$ is a complex number. First, let's make a 2D grid of numbers.", "cell_type": "markdown", "metadata": {}}, {"execution_count": 75, "cell_type": "code", "source": "np.linspace(-2, 1, 11)", "outputs": [{"execution_count": 75, "output_type": "execute_result", "data": {"text/plain": "array([-2. , -1.7, -1.4, -1.1, -0.8, -0.5, -0.2, 0.1, 0.4, 0.7, 1. ])"}, "metadata": {}}], "metadata": {"collapsed": false, "trusted": true}}, {"execution_count": 76, "cell_type": "code", "source": "np.linspace(-1.5, 1.5, 11)", "outputs": [{"execution_count": 76, "output_type": "execute_result", "data": {"text/plain": "array([-1.5, -1.2, -0.9, -0.6, -0.3, 0. , 0.3, 0.6, 0.9, 1.2, 1.5])"}, "metadata": {}}], "metadata": {"collapsed": false, "trusted": true}}, {"source": "`linspace` seems useful, it's like Python's `range`, except we tell it how many points we want, not the difference between points. We need to make a 2D grid though, so we're going to use some fancy indexing and broadcasting. First let's define the x range and y range:", "cell_type": "markdown", "metadata": {}}, {"execution_count": 77, "cell_type": "code", "source": "xs = np.linspace(-2, 1, 601)\nys = np.linspace(-1.5, 1.5, 401)", "outputs": [], "metadata": {"collapsed": true, "trusted": true}}, {"source": "If we add together a row and a column, NumPy will broadcast them and make the grid for us. So if we add `[[y1, y2]]` and `[[x1],[x2]]`, we'll get `[[x1 + y1, x1 + y2], [x2 + y1, x2 + y2]]`. Indexing with `np.newaxis` will make the row and column for us:", "cell_type": "markdown", "metadata": {}}, {"execution_count": 78, "cell_type": "code", "source": "np.linspace(-2, 1, 11)", "outputs": [{"execution_count": 78, "output_type": "execute_result", "data": {"text/plain": "array([-2. , -1.7, -1.4, -1.1, -0.8, -0.5, -0.2, 0.1, 0.4, 0.7, 1. ])"}, "metadata": {}}], "metadata": {"collapsed": false, "trusted": true}}, {"execution_count": 80, "cell_type": "code", "source": "np.linspace(-2, 1, 11)[:,np.newaxis]", "outputs": [{"execution_count": 80, "output_type": "execute_result", "data": {"text/plain": "array([[-2. ],\n [-1.7],\n [-1.4],\n [-1.1],\n [-0.8],\n [-0.5],\n [-0.2],\n [ 0.1],\n [ 0.4],\n [ 0.7],\n [ 1. ]])"}, "metadata": {}}], "metadata": {"collapsed": false, "trusted": true}}, {"source": "We asked NumPy to give us all elements in the array, but with a new y dimension.", "cell_type": "markdown", "metadata": {}}, {"execution_count": 81, "cell_type": "code", "source": "np.linspace(-1.5, 1.5, 11)", "outputs": [{"execution_count": 81, "output_type": "execute_result", "data": {"text/plain": "array([-1.5, -1.2, -0.9, -0.6, -0.3, 0. , 0.3, 0.6, 0.9, 1.2, 1.5])"}, "metadata": {}}], "metadata": {"collapsed": false, "trusted": true}}, {"execution_count": 82, "cell_type": "code", "source": "np.linspace(-1.5, 1.5, 11)[np.newaxis,:]", "outputs": [{"execution_count": 82, "output_type": "execute_result", "data": {"text/plain": "array([[-1.5, -1.2, -0.9, -0.6, -0.3, 0. , 0.3, 0.6, 0.9, 1.2, 1.5]])"}, "metadata": {}}], "metadata": {"collapsed": false, "trusted": true}}, {"source": "Let's broadcast them together. We're going to multiply the ys by `1j` (the imaginary unit) because we want complex numbers:", "cell_type": "markdown", "metadata": {}}, {"execution_count": 84, "cell_type": "code", "source": "c = xs[:,np.newaxis] + 1j * ys[np.newaxis,:]\nc", "outputs": [{"execution_count": 84, "output_type": "execute_result", "data": {"text/plain": "array([[-2.000-1.5j , -2.000-1.4925j, -2.000-1.485j , ...,\n -2.000+1.485j , -2.000+1.4925j, -2.000+1.5j ],\n [-1.995-1.5j , -1.995-1.4925j, -1.995-1.485j , ...,\n -1.995+1.485j , -1.995+1.4925j, -1.995+1.5j ],\n [-1.990-1.5j , -1.990-1.4925j, -1.990-1.485j , ...,\n -1.990+1.485j , -1.990+1.4925j, -1.990+1.5j ],\n ..., \n [ 0.990-1.5j , 0.990-1.4925j, 0.990-1.485j , ...,\n 0.990+1.485j , 0.990+1.4925j, 0.990+1.5j ],\n [ 0.995-1.5j , 0.995-1.4925j, 0.995-1.485j , ...,\n 0.995+1.485j , 0.995+1.4925j, 0.995+1.5j ],\n [ 1.000-1.5j , 1.000-1.4925j, 1.000-1.485j , ...,\n 1.000+1.485j , 1.000+1.4925j, 1.000+1.5j ]])"}, "metadata": {}}], "metadata": {"collapsed": false, "trusted": true}}, {"source": "Looks like it worked! Now let's do the iteration. Instead of writing loops manually, we'll let NumPy take care of the details:", "cell_type": "markdown", "metadata": {}}, {"execution_count": 87, "cell_type": "code", "source": "z = c\nfor i in range(100): # 100 iterations\n z = z**2 + c", "outputs": [{"output_type": "stream", "name": "stderr", "text": "/home/lidavidm/miniconda3/envs/py27/lib/python2.7/site-packages/IPython/kernel/__main__.py:3: RuntimeWarning: overflow encountered in square\n app.launch_new_instance()\n/home/lidavidm/miniconda3/envs/py27/lib/python2.7/site-packages/IPython/kernel/__main__.py:3: RuntimeWarning: invalid value encountered in square\n app.launch_new_instance()\n"}], "metadata": {"collapsed": false, "trusted": true}}, {"source": "Now let's plot.", "cell_type": "markdown", "metadata": {}}, {"execution_count": 88, "cell_type": "code", "source": "%matplotlib inline\nimport matplotlib.pyplot as plt", "outputs": [], "metadata": {"collapsed": true, "trusted": true}}, {"source": "We convert the grid of values into a grid of booleans by asking NumPy where the grid is less than a threshold. Then we use Matplotlib (which we'll get to in a moment) to draw the image, transposing it first because `imshow` works that way. (Blame MATLAB.)", "cell_type": "markdown", "metadata": {}}, {"execution_count": 138, "cell_type": "code", "source": "image = z < 50", "outputs": [], "metadata": {"collapsed": false, "trusted": true}}, {"execution_count": 97, "cell_type": "code", "source": "image.T", "outputs": [{"execution_count": 97, "output_type": "execute_result", "data": {"text/plain": "array([[False, False, False, ..., False, False, False],\n [False, False, False, ..., False, False, False],\n [False, False, False, ..., False, False, False],\n ..., \n [False, False, False, ..., False, False, False],\n [False, False, False, ..., False, False, False],\n [False, False, False, ..., False, False, False]], dtype=bool)"}, "metadata": {}}], "metadata": {"collapsed": false, "trusted": true}}, {"execution_count": 100, "cell_type": "code", "source": "plt.gray()\nplt.imshow(image.T, extent=[-2, 1, -1.5, 1.5])", "outputs": [{"execution_count": 100, "output_type": "execute_result", "data": {"text/plain": "<matplotlib.image.AxesImage at 0x7fb3cf268c50>"}, "metadata": {}}, {"output_type": "display_data", "data": {"image/png": 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"text/plain": "<matplotlib.figure.Figure at 0x7fb3cf3ce810>"}, "metadata": {}}], "metadata": {"collapsed": false, "trusted": true}}, {"source": "So that's NumPy! We've barely scratched the surface of its capabilities, so if you want to learn more, check out [NumPy's website](http://numpy.org).", "cell_type": "markdown", "metadata": {}}, {"source": "# Matplotlib ", "cell_type": "markdown", "metadata": {}}, {"source": "We've actually been using Matplotlib this whole time. It's a library that draws things, and it's designed to work with NumPy inputs (as we've seen). SymPy also uses it for its plots. We're not going to look at this library specifically, but if you need to do crazy things, then Matplotlib has your back. Here are some samples to play around with:", "cell_type": "markdown", "metadata": {}}, {"execution_count": 105, "cell_type": "code", "source": "# http://nbviewer.ipython.org/url/jakevdp.github.io/downloads/notebooks/AnimationEmbedding.ipynb\nfrom tempfile import NamedTemporaryFile\nfrom matplotlib import animation\n\nVIDEO_TAG = \"\"\"<video controls>\n <source src=\"data:video/x-m4v;base64,{0}\" type=\"video/mp4\">\n Your browser does not support the video tag.\n</video>\"\"\"\n\ndef anim_to_html(anim):\n if not hasattr(anim, '_encoded_video'):\n with NamedTemporaryFile(suffix='.mp4') as f:\n anim.save(f.name, fps=20, extra_args=['-vcodec', 'libx264'])\n video = open(f.name, \"rb\").read()\n anim._encoded_video = video.encode(\"base64\")\n \n return VIDEO_TAG.format(anim._encoded_video)\nfrom IPython.display import HTML\n\ndef display_animation(anim):\n plt.close(anim._fig)\n return HTML(anim_to_html(anim))\nanimation.Animation._repr_html_ = anim_to_html\n\n# First set up the figure, the axis, and the plot element we want to animate\nfig = plt.figure()\nax = plt.axes(xlim=(0, 2), ylim=(-2, 2))\nline, = ax.plot([], [], lw=2)\n\n# initialization function: plot the background of each frame\ndef init():\n line.set_data([], [])\n return line,\n\n# animation function. This is called sequentially\ndef animate(i):\n x = np.linspace(0, 2, 1000)\n y = np.sin(2 * np.pi * (x - 0.01 * i))\n line.set_data(x, y)\n return line,\n\n# call the animator. blit=True means only re-draw the parts that have changed.\nanimation.FuncAnimation(fig, animate, init_func=init,\n frames=100, interval=20, blit=True)", "outputs": [{"execution_count": 105, "output_type": "execute_result", "data": {"text/plain": "<matplotlib.animation.FuncAnimation at 0x7fb3cf06f4d0>", "text/html": "<video controls>\n <source 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gBxfeksgd1Zm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\nq0YfE97ef1i2OVUea6RGsUg1bx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25OPAY8DHgOM62SWZz/VdYLMcwycieKZT5x8vJ34br2OB84BXAj+ReHsnTpon\nuJoBrEya62Sa+/VtqDyv/bbAC8CX6ezgroNIgx6fAzbv9llhnfhtXPKl6y7AVcDywEyJye08Z076\n1wHrkEZsbpkX4zZ7iQh+RuqSXEQadb53u88pcQCp2CCAHbup5HkkTvw2bnmQ1CeBn5EWi75R4h3t\nOFdeQvE6YF1gHvChCB5rx7msP0TwIwanHPm2xMHt6PaRkMQhpHn1A/hcBJe1+jzt4AFc1jSJZUlr\nLX+QVPHziQiua+Hx1yb16b8JuJ+0KPUfWnV8628SnwdOJzVwTwO+3Kp6eoml87Gnka4upkXwg1Yc\ne/yxeACXdVBeSGIz0trLrwaulfh6Xl6uEIkdSeuSvgmYTZrnxEnfGhbBmaQ+/+eBLwCzcoFAIRKT\nSFe704AFwLZlJf1mNf0BlbStpHsk/UPSO0fZb6qkuZLul7T/SPtZb4rg76Q+1cPyrw4Dbmj2pq/E\nihIXkEo2a9U7G0cwvxXxWrVEcCmwEfAwaWW2uyV2aaZxIrFEvoq4C9gQ+AOpQXJpK2PuhCIts7uB\nrUgzz9UlaQJwMjAVWAvYQdKaBc5pXSiCRREcAmxCWvLwfcAdEqdKvKWRY0i8PveX3k/6IllA6qfd\nIQ/NN2tKBDcD7yRVhS1Hmht/tsTmjXwBSEyQ+DjwK+B7pAbJj4B3dOusoGMp3Mcv6Xpgn4hY7AWQ\n9F7gkIiYmre/BhARR9fZ1338fSCvhXoE8EXSVLSLgBtI9wJuBv4PeAJ4BTCJ9IH8GKnL6GX5MFeR\nlk6c18nYrb/lG7zbAieQihIAfkfqqryBNOHffNK8VCsAbyfdv9qa1OUI6cphP+Cibhmc1UzubHfi\n3wb4aETskrd3AtaPiH+vs68Tfx+RWJM02GsHYOkGn/Zj4DiPxrV2ylM47wLsTZp/qhEPkHovTuu2\nK9Bmcueo66lKmsngN+NQB0bEVQ0cf1zfKpKmD9mcFRGzxvN86x4RzAGmSewFbAkMAO8GViLdCH4G\neJTUZTgLuCKCh0oJ1iolj6g9XuJEUrfkZqT+/7eQFkNfSLoqnQvcQmqQ/KJbFiKSNED6PDV/jDa3\n+KcA04d09RwALIqIxZYfc4vfzGz8yiznHOmktwKTJU2StDSwHXBli85pZmZNKFLOuZWkh0jL8l0t\n6Zr8+5UkXQ0QEQuBPUgrON0LXBwRc4qHbWZmzfLIXTOzHuaRu2ZmNiYnfjOzinHiNzOrGCd+M7OK\nceI3M6sE1X7AAAAFOklEQVQYJ34zs4px4jczqxgnfjOzinHiNzOrGCd+M7OKceI3M6sYJ34zs4px\n4jczqxgnfjOzinHiNzOrGCd+M7OKceI3M6sYJ34zs4opsubutpLukfQPSe8cZb8HJd0l6XZJtzR7\nPjMza40lCzz3bmAr4PQx9gtgICIeK3AuMzNrkaYTf0TMBZAaWuPXi6ibmXWJTvTxB3CdpFsl7dKB\n85mZ2ShGbfFLmgmsWOehAyPiqgbPsWFE/FHS64GZkuZGxI3jDdTMzFpj1MQfER8ueoKI+GP+758l\nXQasB9RN/JKmD9mcFRGzip7fzKyfSBoABgodIyKKBnE9sG9E/KrOY68EJkTEU5KWAa4FDo2Ia+vs\nGxHhewFmZuPQTO4sUs65laSHgCnA1ZKuyb9fSdLVebcVgRsl3QHMBn5cL+mbmVnnFG7xt4pb/GZm\n49fRFr+ZmfUmJ34zs4px4jczqxgnfjOzinHiNzOrGCd+M7OKceI3M6sYJ34zs4px4jczqxgnfjOz\ninHiNzOrGCd+M7OKceI3M6sYJ34zs4px4jczqxgnfjOzinHiNzOrGCd+M7OKceI3M6uYIoutf0vS\nHEl3SrpU0mtG2G+qpLmS7pe0f/OhmplZKxRp8V8LrB0R/wL8Bjhg+A6SJgAnA1OBtYAdJK1Z4JzW\nAEkDZcfQT/x6tpZfz/I1nfgjYmZELMqbs4FV6uy2HjAvIh6MiBeAi4CPN3tOa9hA2QH0mYGyA+gz\nA2UHUHWt6uP/LDCjzu9XBh4asv1w/p2ZmZVkydEelDQTWLHOQwdGxFV5n/8Ano+IC+rsF8VDNDOz\nVlJE87lZ0jRgF+CDEfFcncenANMjYmrePgBYFBHH1NnXXxJmZk2ICI1n/1Fb/KORNBX4KrBRvaSf\n3QpMljQJeATYDtih3o7jDdzMzJpTpI//JGBZYKak2yV9F0DSSpKuBoiIhcAewE+Be4GLI2JOwZjN\nzKyAQl09ZmbWezo6creRwVySTsyP3ylp3U7G12vGej0lDUh6Il+R3S7poDLi7AWSzpY0X9Ldo+zj\n92aDxno9/d5snKRVJV0v6R5Jv5a05wj7Nf7+jIiO/AMmAPOAScBSwB3AmsP22RSYkX9eH7i5U/H1\n2r8GX88B4MqyY+2Ff8C/AusCd4/wuN+brX09/d5s/LVcEXhH/nlZ4L6iubOTLf5GBnNtAZwHEBGz\ngeUkTexgjL2k0cFxvmnegIi4EfjbKLv4vTkODbye4PdmQyLi0Yi4I//8NDAHWGnYbuN6f3Yy8Tcy\nmKvePvVGBFtjr2cAG+RLvxmS1upYdP3H783W8nuzCblCcl3SbAlDjev92XQ5ZxMavYs8vBXgu8/1\nNfK63AasGhELJG0CXA6s0d6w+prfm63j9+Y4SVoWuAT4cm75L7bLsO0R35+dbPH/AVh1yPaqpG+l\n0fZZJf/OFjfm6xkRT0XEgvzzNcBSkpbvXIh9xe/NFvJ7c3wkLQX8CPjPiLi8zi7jen92MvG/OJhL\n0tKkwVxXDtvnSuDT8OKo38cjYn4HY+wlY76ekiZKUv55PVL57mOdD7Uv+L3ZQn5vNi6/TmcB90bE\n8SPsNq73Z8e6eiJioaTaYK4JwFkRMUfSbvnx0yNihqRNJc0DngF27lR8vaaR1xPYBviipIXAAmD7\n0gLucpIuBDYCVpD0EHAIqVrK780mjPV64vfmeGwI7ATcJen2/LsDgdWgufenB3CZmVWMl140M6sY\nJ34zs4px4jczqxgnfjOzinHiNzOrGCd+M7OKceI3M6sYJ34zs4r5fxcM55pJs1DbAAAAAElFTkSu\nQmCC\n", "text/plain": "<matplotlib.figure.Figure at 0x7fb3cf4564d0>"}, "metadata": {}}], "metadata": {"collapsed": false, "trusted": true}}, {"execution_count": 108, "cell_type": "code", "source": "# http://matplotlib.org/1.4.2/examples/animation/double_pendulum_animated.html\n# Needs SciPy too\nfrom numpy import sin, cos, pi, array\nimport scipy.integrate as integrate\n\nG = 9.8 # acceleration due to gravity, in m/s^2\nL1 = 1.0 # length of pendulum 1 in m\nL2 = 1.0 # length of pendulum 2 in m\nM1 = 1.0 # mass of pendulum 1 in kg\nM2 = 1.0 # mass of pendulum 2 in kg\n\n\ndef derivs(state, t):\n\n dydx = np.zeros_like(state)\n dydx[0] = state[1]\n\n del_ = state[2]-state[0]\n den1 = (M1+M2)*L1 - M2*L1*cos(del_)*cos(del_)\n dydx[1] = (M2*L1*state[1]*state[1]*sin(del_)*cos(del_)\n + M2*G*sin(state[2])*cos(del_) + M2*L2*state[3]*state[3]*sin(del_)\n - (M1+M2)*G*sin(state[0]))/den1\n\n dydx[2] = state[3]\n\n den2 = (L2/L1)*den1\n dydx[3] = (-M2*L2*state[3]*state[3]*sin(del_)*cos(del_)\n + (M1+M2)*G*sin(state[0])*cos(del_)\n - (M1+M2)*L1*state[1]*state[1]*sin(del_)\n - (M1+M2)*G*sin(state[2]))/den2\n\n return dydx\n\n# create a time array from 0..100 sampled at 0.05 second steps\ndt = 0.05\nt = np.arange(0.0, 20, dt)\n\n# th1 and th2 are the initial angles (degrees)\n# w10 and w20 are the initial angular velocities (degrees per second)\nth1 = 120.0\nw1 = 0.0\nth2 = -10.0\nw2 = 0.0\n\nrad = pi/180\n\n# initial state\nstate = np.array([th1, w1, th2, w2])*pi/180.\n\n# integrate your ODE using scipy.integrate.\ny = integrate.odeint(derivs, state, t)\n\nx1 = L1*sin(y[:,0])\ny1 = -L1*cos(y[:,0])\n\nx2 = L2*sin(y[:,2]) + x1\ny2 = -L2*cos(y[:,2]) + y1\n\nfig = plt.figure()\nax = fig.add_subplot(111, autoscale_on=False, xlim=(-2, 2), ylim=(-2, 2))\nax.grid()\n\nline, = ax.plot([], [], 'o-', lw=2)\ntime_template = 'time = %.1fs'\ntime_text = ax.text(0.05, 0.9, '', transform=ax.transAxes)\n\ndef init():\n line.set_data([], [])\n time_text.set_text('')\n return line, time_text\n\ndef animate(i):\n thisx = [0, x1[i], x2[i]]\n thisy = [0, y1[i], y2[i]]\n\n line.set_data(thisx, thisy)\n time_text.set_text(time_template%(i*dt))\n return line, time_text\n\nanimation.FuncAnimation(fig, animate, np.arange(1, len(y)),\n interval=25, blit=True, init_func=init)", "outputs": [{"execution_count": 108, "output_type": "execute_result", "data": {"text/plain": "<matplotlib.animation.FuncAnimation at 0x7fb3c717e750>", "text/html": "<video controls>\n <source 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WwydUsxjPWJn\nf/FeM6AU4USyI1oqDXJW94VqG8UsmSGBo/hwauCluegdvzusiykF8uDVmxJARsX2ARbGzAODIbyZ\nTnZPYOVlUbpo+8/y2/YNq/twPJt/B7cV11JXGA6GySUPVe+eN9NSk0Nwd854ibx+hS54iX3y1S54\nisn8qlzxkhebPS8Z41//s6qmWvI8nCRgkxlkayEuzFlK91gm0wgzXDKN+seu+c8pdKX3z6HLHjtn\nKR6XLALSs25UXVcg+y3Ki/k11HrzpuxJuXWmpJkABdaakuW/gDbdnMawVrbFtzJm2RlLKn7t4XGU\nIlyefqrYD2/zd9B0iNzLKGksOwI2ksvhV6gX6vpOMVP0vyg/EAfU2eVu8tG1954CctO4U2+U08tk\nm9h51XnDqRJo3UNCgOnROyNgPw6lzyIPmfmJCV+aODGRutI6AR/QpsCGEueYE8TzGwBQy89nB6Bh\nx7OXjuspEWbo5hXKj56IvvkWLUxEmuhLS3YMo+5kNvoeQ/u1okoD7/BPJN6HdJfPCD0bGXps9TW5\nt0aQwpOQ5w2K2OjppgXNPctVn8wRPIArq0PIDigYEKTwfp71nk9DdPGD6Dg7Oyld1MQYnHpMYLa7\n6SH9NovPDhY0ZO409obaS3tQyIB3aSq6RDYYgi0W1e25bRrMaQmPtZyg1yjzgzPsDVjZJnqAxVTa\n+ZyESuH6W+ecn9VSpapRGwfZRGDjADGHHOTcYLi+ub7FWKDKl2vC5BvTZ+ygtx4duErtu0TVQrj5\n++S6obGuTY+G/KqTljtXMtO1IgvEywg1FT4T/X9tPjSlqRlF1U6IvTOCUm8B3eE5FA0nCCegP5cZ\nTAzLtwi9MZm2EXpjTiwi9M5dXT0tSizeSREafuMBxzsnWlrzHOQzTD6ks3ad0EOh+Ztbsig0txAR\n9may+1Sl8+Os57xNGQMU+NCL0xn2IRemM8dCL0xtHJ1MDcrwjwi4U6mBmnwnUwM1Pk6mBnAT3UwN\ngrp6uqOSBLeKWA/Ot3uZOQpgzZh+pclCUmJYaN7PmL///+H5/HH/86wGKZdxFugIdDt4nYJJ/zCp\n5KGGUVmLaao2Y4bsHb/k5njilGWRVPSoUZ9gFcskpp7KkOIWJuGFPdIOslbfWQh679N4P3UiRttG\ntpsc7Zp9NeY4TfRzCXDPsYHhAafknX4+6DwdtSUCFEgakc7EFG6HI66uwIfGh8Kuu3iySuiEQmqa\n+DL+REFXLhhW1yj0tLI/jI9b74nYZKoTMES4qWW8NAjQqQKZsZdfOc4x9vudZsCxzNqS+8r2JV8Z\nolrhT51QZAwZNjovgu3pczCYicfTfpbjcjxRwlPu8/KlHZzsXY1P1odcIahVU90Bu71XQYYaF7d3\nERtp8uKwCleDtl5m2N3UogHfd4eeievOhWk7IS5AnTeGXn1oTsmLWVlZ+80X8Py3Q++0zO0SePX1\neia2N+nqbKH9W/GbrN1tVYHpCExYSv8w4YZPr0MmaJdclCnLpDFBRVS544BdWpdEI7+/OePVIFeX\nDKRuL8PfnPHfl9/fnPG11zZztcks8NX7oMNReRjkaGFq2i4kZP9dSW5mFBldQyYq0rjK490j8NJU\nnLvCejK6ZDlA1rc+nb26Z88PfnPEaci8uGUb7ph7854jpDHvznjinmPTo48diZMRV75zysA9tdG+\npc8q/Lu4BMC4nJfUAGQGH03nEZTyQIHWdeJBgDXesCVVEZUEpxJ07IJVLniRI1Kpc8SNlpVLniVt\nX9+c8RE3Ye/OeJl4JVLniW8CVS54nKr+/OePwRixUuPMUM1EGVVNeGNvr28c12C28eT80GtGrohR\n1M737HyB0Tsm9yMRliyji0OGi3DXSpfxJwHvzniiREqlzxQwCVS54pog9+c8f5XyfQQoR6hg21yI\nEba3s2MeRAj9F9OFak3Q4TpUeivVba2yzbpwrvgOAkQkn55AOIkPo9UNFr7oe/OeKz9/fnPKQen9\n+c8WKi8uGUormAFawxtwIkDWdM3gmVmH+PVdEN7tAnrlk9g2ZNPUav4Dr6iMKuUQzBlkvEoriLE7\n+KR5/8Ga2CRWoEhFClAnx0jCQaJrt4xX7SpRcq6oRSf7GnY657jA5h3sWqtarh/c+LJQtPGeD9qk\nwO47XxADdnOclc8goh2oiDlMI9b2yLgIitbSSZaGj+whoQKrfPqsrzcwo+xmamn6RkpcJvJnbs09\nKHHsHzn7q02Cb1LnjITbvznjFrbvznjNDcPznjxY711zt0QhMu+c8TV3wvhS55N8KbulkE3kKeJb\nTAbWEEv6RhQOHO5xUW1wYenlKrHmmUyPIMnD8540MkC4ZSLkt35zxq8oFwyjk3yBcMpIAnD85418\nd6lzxuk71Lnji2jggwUeX3t9EEL5rDOrgF4rA/CRN9/WyIKI8E8uiBcdY03lfY2DW7q6DZ/d3nY0\ntrJ5BqDcrdVvTS34NkHSiPirqVoAGLmyP77StDU1/8gXcv3rcMxvDF6ald5Wd6e/g0ot17psUsZM\neqIFGSye7wNRyjL4H0aNjLH3m9YXrLyY3W8aJlcq8EnEOBXJETK4mQKArMqMyHHR+PWeyu1AMtIH\nx+fDgz1LW3CaDM7IPWpnEKLGQcstvnXHcjXn+fj8zD8l2VKwqq0TOO1P2tIa3q2CfZg6aKZgrCGT\n+opWkMf5CDFDmmbOTjndBqg0uN6mQdzW/Hn/9NsRVqVrCG7cgJoUmny4WhDxM3jHJaIXn9c8vUvg\ntHvGaaJmkVQ2LdS/D79vTt5G7IUr14JXz6WkJnq1r4MsXPC0TF1/jfLNOMQ9YQbO39zlOy4JjrfA\ndCC8W4GMgxzP2iz+zWWpM3AOwf4guhmDESt/FA+3Q8N17twitk6Z5Zf8SV6OjtwqUD5Dr0e0Qw8J\neH0f0erd2cwvRQzBnbMtTo1qdgleB0YK66P94Vi1M2YRhLcYxT445ULg3jUOXy7U7gPusa2NH4D7\ntyK8h/JjBejPrClJyay99b+o7xqGjnv7YSbAt+UpYQB6/7vUXMGU/oQBGOZ3JlVZ0g/xb/nt72Xf\nAXlFJDvfrE1OoCnN8D1BKTPw1uIjuMnWdYZPKt+K5JrFmHegp0JvfWh6bRRUug2p7/oGfwFi2R4s\n/9N22k8bLJArFfDLMnski9YHGXy+F5m3bmGD1QMirLEgrjHsRrd0zm9rSoTrX6r8QkKfYX6YFG/D\nre/evlQEbUcsfYCLxbFVIhhTj1qINITVgl8wS8vKeYr0RAf3IFFhpHB5MqxjyZbgvZ66W5+H2+0w\nmk584tjnXKye4syKZ1gnnCNJ8o9Lkhm+m9wnxtsKSVrxc8bgJMiM8BFefwaoDNUN2lyZWcJx112z\nuBJgXNZA9XLJRCCY3kw/XngedKwTw5yXMJZiU3D4iieABhkeyi+lmoDe2gI4VDKxeJdRlY+pcUUx\nRXXCoef6qFwTDOZTeNv60rgonmap3OeO++9duSdjGIcEEGL5c58+3gbrLTGfKo1ZvPO96q9VNjqH\np82lJJQz+so6m/tqRQ/Rw5eZY/sRGLFUKb/yv4EbWNkZd723FKjyIUW9aJD3QP8Ck2nRytMyV03A\nGfytoywuU5uX3/xVnXCugScjm2lcjs7r1a8FfzV5xQ8eGJZTc6ep7QY0qLyINJELg28t3+t4QaQW\nfmz3ujfwtERHNCxAQcCiGaLOVq8ZDTRhpXxIjTr+Rx9Bg4V+z6wsHluf7WIPPQWW/qI7nILAR4aH\n/MOY7stpZI0l/OvYyTk8z231O0d7zjnZaiTgYZoWVp43t8jkXrMx/CsGMAmqpmzrKGoet/tAnosw\nqnL01t3WmlbdR9bu6EKtN1FfydVLvnmYJcIcgWTrmYFV62k3aQNH0FElNPo/EjNGxe5S9b+/PMqa\naU/Eb86t529BpIJXI/Iz/SncF8EPmrNrt7dfPgBf+0ccRABE7N3a+zasscK1NduGKVGuPh6ZjUut\nPcVHs7vpSHHjovTu8WzIfFrynydwvd8yd1ekbYD25MFcrH80oFXO8vi7Ewx4eJI3pmpxWxbOH0l9\nJO5BPxdRwMd2FYkiwz7T3884/GYfAs5RR8oYAimyzcjcOYfjbkMN9tKNzn6Ltm1SeucObi/SkjNT\nmr61pE0b6nQDQMELFpdxyfEx4+eR7/eqjQhReDDFpyA/ATpg3UkAAAPQQZokbEP//qmWEwKRwBNf\nkSu/ApO9fFLt//e6nrbh/jcS9OejLx2fRPGnAdCLlNlch9XXT0Iduf0DuZi/nGYRn7X59BvnbBNI\nmbeu2mXwLbkC3hiOFWcGHGJwKWS+DXWkj1fhyvBIwMeHOPZLCNd6Z82naJE/ZZGldMjdaJ19sXrg\n7z9VCNUr47VMEh5nwvmE3hTfl9meIgdskLU+7SqdWulHx+fvjUgtW4rzky8n2kfNfMAMEO3gUSkd\nm18VYYwWYiPVxGMy1kASQKLCL7OZthujaiUrm3QL5Parj6Zfk6QyWqbC3gbgOe/JFhJPrPxRop9b\nDUxKEZHJdMBejO1Lag3KVPoEwaZhFG2qEgIUR3Vdw5URAZ31FODfSJoc4zWRnMV5EaU0QP30Wx1E\njaCKcZ2beiSbDrAQoHbI8vDOsqDGFmEq05BQGCkQJZ686JM2Jz+5dIwDgAE1NKCcmGTEkM/LIHXz\nqFV4ByjInqkL7ij8I9wqO28rtmYAfQBDV7qLtht8qTog5p7IozVmP35mrsyh9vbKg5kW6vcBFc9M\n6xut3uA9BJ2Y8hsblJ9/iKiZ1PU2rp8nubYVqPP012dMFthpwYSP8x1OuYAd4HKGH/U1rMHeq8tX\npwf7USDIzWOsLQKYOOjQ5JB+gHmq4R3GR8XDCOax8fYHbyPfFaDVU9NBDrN4bicWpf4VD3W7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TuJWYacUxUP0Z4F7OkZWK7whZ7t7DTMdpRfSsp5P/UdWCMSYImOiy73k9yR29oVJ3hrvo4jDvH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\nUFABYML2ASIM+noLPWVDAoZGSetLNc9xeB0ple9FOhEmpBy06y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5yDF6QvFYErf1Ep48h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HZLAKds20qdFVXCXJqqbVaORAAAC/0GavknhDyZTAhv//qeEAa9rkwAG4JTrdKlC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0JMj5QUMbTN3BWea452wpCqiOiW5RM6Iw0XRKko0nQEBrVSxliYt06NqsbcbBbVLF6Kb+Y\nvcJYOUQ/fbPZG52dmzQLwxuRgc0sMf5PbogeJkLeoBiW41boGhku7g1aPjru2MwxcfReI1A0GwPf\nIFfYjskuTck7hBQ8JcVGa7xT/U5FiGxmJIY/XFR/Dbesd0YYL4U6TEvJo48OVZVr/DO2XNa11EJ0\nGBoRHN57BeqdskEAAAF+AZ+7dEK/AUjMbIAIE/u+Gq8d5wA3D2RctthZ8r+26VAhZL3F5U8+7MX3\nuE7FGZH49rhbZXKXzZJe471Y0d2GuBuaSJU9zIL8rwXyy3G4y/ViEJ5n/3kuxOdDTGuNTRf4wXYo\nJdgsS37zgUL9DsphpJSIin3f3/5u2ubmevjUeMsYEWAZob36BCJAajrxYUlZEzEKNpZDeXy8UAA+\n+M5acRNYIlwNbqnSC+qiPbY+/lMOOTVpIVBwYdJopusEnfgLKUNPPYdAljEbMs9e0jcoTC/SkMYF\nCgUzqsPof+p7l4ULpf9MwJySTMITIklh/aLiGSUyCJBlYjvD4U2bd2FPI1lvDjP3KqhyJ8zAf14O\nV2LoovSTXnl9/ESkSn7LyiVE6nmsP8PEY1QHMsKXP93RL+ysn4U35hokhG7prmuaMwo11i16ixk9\ntYzr+6FmnkrP2E76xxaYMyIbe7OCjGL0iDyivfqzXEX8c7xbJgqPFsNoQVU5J46iVcY7dmuCcQAA\nAeEBn71qQr8BUbD8jkhwTMbIg68Zx4AQnKdixl7jSGYYV0gDMZL/MYDHzzWU96P8ED26D7lk9GOl\np81c8JDcMyyUQQ814TcqzYd40emNZdam/iMVPDabqzeUc1ZiDghMh97lGZQEzEnCmn5TE3RtajID\n3RaLzWGRSH9NbJTZPuqnRT/E+tfNR/RWMSDqMfd3HBX1nszXsjVdWTaYIWlvhy0DM6hT9xA2xXw4\nj1n3HhtRbQvDmnl1COepyEqysdL2GMrmVPJSFntYPuiukWZp9cHV+JA1//m4Lqi6zyZIq2Kriphi\nKrg/tlkrn8N53Ga+ZKo2I5hkzybIlHWScLXcyJtAlkcPgMaFnu/qFc4wOzJw9CxPvmW2curYFgVc\nORF6bQ8kiwazMAo21xtH6A7mwegDXLC+ScUlta1Bjtrf78p8PBUwjqd3XPAnrZXC7d1Y4vpTkavT\nxvJCTjlYnS0eYKn3FG2Gjij6UnQIM82EudNj5o86XcStEl/1rQHlqQcYBB/qpTAjkNiLRmYvpkMJ\nwc8Lw9NROkHYQdSyzrPhSUZuxIntMr0P98EIDw4XWbtl1R+XHDQKKIQOdCNUv4yvr+ettdjWTnoK\nip2wHyY8AV9VOcG4t4mDu866NIwuvtdT+mFgAAACcEGbv0moQWiZTAhv//6nhAAF9tfeEtSAQl0N\nmxiiMoEl2HGs/qvtVgf9/6DRSzDAz3RsmuMGCUkBxXshEO/I3kPP/iIGys8Ls4ynzrSJfQV8e68v\nQ3eSHKdOaci3pZGRIhBaeHr8zcad7FSmvTSNrhNRc+ep1an8LAibZgnwH2L/YclR82XSGFPrvcZP\n4SNzC5Z6gkPYqHFaTCz8i4uPdN6NjkIo1z7jLiJ8WCu0bUuw7Tgx+wJo7i0jDjILDermkc2t4RtX\npoMqS5bNBBrTA3MQwt7eQygkqfvw//t0/k2n7JXj5FL8FEaA4BvGiQZcAqZ65eATvELDxEe/5+Jh\nWIikjdBesbtZ1bXGRsuVaWV/gvMJWvIQ6qp7dGwxv8obMD15y+l6xeTpA3NsYeCGkLR0A2+snhci\nhFjpj+sPdnrfE1W1jMk8HSCZk9s1zFbyd4xs6A9y77A9AAdgG6HEmnM/89+hVf2O76H0KFIg8LZR\nFp4fPKHeuSsnmG10piTL49R0WVW0rcxakSE8zFeYauKFBEscCQ6Ov6DXmkTj9B3ldRZOJYOtBbSp\n2CL7f7qbf8khDQZMabW+WgpAA4td5U6cGmAFYTzUIrPBLHflrKdRcxYnPe6tblK1IfR+oOXJ8Ifb\nrc09ATiQOaK+EOlvwt5vNQYAhFntAbQoEmJM0LzOu/tBU83RjwyrILPIhKC1jmOjoP8gjL4+brjc\nc2yK//c+aFrgZd8ZlU3np8n1WqpvP6QhNFrEDok4TPwUYzaIIDk7DQ7a6sIcG5DBTxf0uZ0Jf7R7\nHeZuuJNzudCxkKWHItDdVkKwnwfceyy3Q1anQAAAAiVBm8BJ4QpSZTAh3/6plgDaJgIALkOsGmUL\nTqJCMLDxi4hy1O8BSv3jW/CGwDumdT+f2TPHfgInY22K7W8BR64pTuO3c2wi4Q8W9JABr91jFyfZ\n7OyQYP47dszVFCufBsmuvnp6mqR5yyWBe4mkSgpCfgSfnsEzLhYun9uYFOJQUIrHcbslBhOZl3Nf\nORK5JXV3cqYNwRIIQ+sxkf6Ir7z2DJhLRrcYzBlPjFx2l59K9m4NOVG8h3VOMYw/IISQ1RelWp33\ncD3cVkrcfSWw6oT6VzczgxkaoRW9zteZOgW+5kLwBbNfgEihoTJUWbADIzZkpdrl3CHDSX+BL1PB\nHqC3ZIeZFkmrV8TR1ZFJeVHuQ2vPFqvgF2neByurGa+0zQcnOSCYo/d3Xprnnupkk5kHUjGZJJY0\ndGbjQhgNiFRhA/0YRRzXHVXZik64Cd4AkfvDLBUVaRApugEV6fwEaw9/8qzv9hV0dh3gpaDx+5Wk\ngaF0vTTyHihM8617scBjGdpAEdU1qnKVhsr3PdHAsZeE9tlctciVjbU0QbqTKdeMt1wLJ+BCYsCO\nKv2HyevyDdf0i+F5pQ25vWnFx2eP5Vf5wCHy4CnmdoxuBDk/hN6iq577lO3D4Z77lLdAUcvL+W/M\nf95CqPoTlVRC1pnY/lejCZiD5mlPTx65KYYpj/KLmldafgUOM6xYNK7z25wSwfV4ybFCUNpTI+T0\nAzvNqv6DbLny4UsAAAIkQZvhSeEOiZTAh3/+qZYAAssXODgnIPDxghR/fLRXG8GdigWUaD3AUPkr\nhohGU/i+YB4CQ9PLd5tvgRy42EyOHoRTrwYibRLnd+edy+VT8TASrx+3T7lJWocd6dhtGqAQBJei\nxKWI55htX0jD0xY794j5/c+y+yIELJlB+6Y75KWiC8YFPF+rf5HxvoP/iJzyxZ5t7dS4f1CkG9i4\ngP81OxO07jXtmwdkEI/SA3FdonmI67LLZi4lgbbXY2YYvh+XBCIhztAeefA24T9P+qmD3/2EYTQA\nEVXdjmVZrGC8Xo5PkQFk/lA/593gpDgrymeryvOoUqKxbC+Q3lBgdkVM5ijw/aiDnC7IUpNnjLzQ\niFLkj05v7Sx65h79faFYMDJpQd6yek6NyJ8LFwqpG/oFw8mxtMwzZhCGWhXc7oSwKADhaRUIY54t\nZRxtDoWIBLbbW2R2rL3nMhCyk2R4U3RHic/wF+VJuzs+DrhwTUj9PeUTrqhh5sNuXqUFmBnzYqSe\nOYNtTcb4IydsNNTuceqnk4TqGwqlTpcnkfRYae1AGwEu56ncf7iI2IanqKagAzJ8qi+uwRkB+6J9\nxYjoGN1WpraV3Uad7XJt9q00O8qAY7uWu8aW+wK0PIsOL2yFDuda1TPCwW9Mb7R8kdbL2fpXlrNp\nMO1DFxopTtu/jVeycqgaeD9oAjBwFQ24XBaDlRm6YEz0z0TS0tuVr7GRw1ZVwvqQDiAAAALeQZoF\nSeEPJlMCHf/+qZYA2iYCACbSiD5oxH9cVbydCEg8ArvtM9I/VXnJUlNSmr/n9k3H6/wxPsoM+aR2\npwkE9bUAa/XuJ+8k629WYcTP5UZaHfIxgFA9PXx3/QuDyeXUwaYc8UCYjXvN4+vVQIGeZXJ2mCWo\nBGbuj9qEqHr0bJHef8JIOfNq9G72p+oDlRDUHIuD2ohmBou7cKb236nim8r0r/pNMYYVOaxWZL3P\nnqTHCPvJdW5eBoiBtSsPwa5Tj7sBTK9T7zEg6j6+p5pRh+4bSWthl71xv+jC87z29A227bOUH+21\n9zPKNlQfI0LaKW67EbrmHUup+KsD25ft6AOFjG2fHYJVT75wOxWj3virwnAYpoql8Y1TYtQzoSGh\n+8higzwpo+u0/nj3w1MlpnyRJuSU/OA1vvgFcxi3W4YpyiZGMLqCUa3EH7y3lK8mkubVHmmd+bfS\nI7Yavr4Y9vEQNISAjVpTFFZ7/Ps1RQk/6RPVtXdzc0+qSKodSro6OrNs0qUcTxkGxoDpbJyHeUJi\n+cg78MKxmjqnrHTbfvYssD4Xvd7cvE9ny8Yw9W2LxzhcJIOuT+L2fPnQpBJzvfLRO3FmAEefbn5d\nAvtEOt7dG/9GFn/uPG9UuYGGelB8DapKvMXwt22CUSdTqyrs79XJuS0iQRCVn1x8WFY3F/BYgW4J\ntEv+8mMq565B7mSi83Jcv2v7UWVIncsGl9KY6+zM9Em7IayROxzhy5jgIHrfNdH7PIpu1BATks2s\nDoOs2iaPlIL2fUrT4+03oBVxjYQgCfFPQOcBhRgAtBSgkY6nbxAPZvazN4WBWA3mtEesC5jZhvHI\niewE2HHMuWolC7n5l1M3VliCCiLQ8s+iwOZxDKhLQpAmDVp1A9uWdUlHEEVwcEVzOBZn2v8Utd79\nLVOa8gzvBBbeTo+V8mzzvMqukC+FyocdQN1A4tHykAjbQTGpcJ6tXUDFnJK/WD0AAAH2QZ4jRRE8\nM/8AsanQAcY/4zasFXyb0Jmyeh0b5Jqf2aMY2/A2/Awd9YV5+UuoZRd5f6p3HggAuj8OkgSRhYiS\nWYNRdY/7csevBI6OrynjL5O0C/y4VYZftmnqCXqCwl5gFn0bF57D1Q9YRrquet3x3JvinLXwMBF1\nVTwi5T2x/4AIrlKJ1mn2Q82ifizG1uPRUsVhB1VnedECe5iSPTiuXEIHSphOAwpe1iMJXIHmyP/N\ncFAVZAk8PMl4mU7F3UZjKrEX/RLUbRyRYh+O9ixBOFpSw3KeMU5TLFaAwtZMKNl5v0Ds4B3Bxagn\nVVUhfTbpT2Gtd/14NA9aCIkJd1ppu/09QESV1GTCIzQx+HFOcoXVoI794hKo73yiQNj64XSxz6hT\nUTQnY4XrOEQRK1s2aG4Pf4BWyrnYLw/aRpy8iFCEh4HAE/J5lrqpM134MQ873urX1FrFj/7t7nC3\nBBIp8FFLGqidRfXF1x3mgwNrfY7QR5iE46tJ3XLJTlM1ty1EMeH2rDkBKd7OAviiPveKJ3ZsL4jt\n5HKK3oIYS9lKIBJg8ZeFdP8r2dfhZA/0YQ0qpHjmYeoHDxjDutqJqQat5uWAbftCQQD/4wFyFH6a\nuQDfYwDOIgp659lo6PDN/KnVyW+IksDQt1IbUapoTVkgbrJGe5Ph4AAAAcQBnkJ0Qr8BSE4xp/0j\nUg9SQFGRrW7gj7LABwa09hItJWLfUkti0arhdhWoBa0E2hj/jV4PYan0LzGSyh5sJFvoHDmxx2RN\nTd6tIoHgdL473vmuzdwJjh+sBRiufHbRxxT96Bi1i47fzJZ6ABd2RytipemSmtSwjNzALUsu2TgK\nigC+j/AAYDR2UvxEnh1AG5hztwRAwPjbTrnJH+LIlfBgqlRdnGHjaRLKMuP4tVZvn1GmReuRdIu3\ngNkK5YQpqb9lV0Es9TKUFYUeJ2a1RKlXsTd64beAJ1WcJHkme7XEe96btDykLEGA+nKb7v6QmXv8\ncfu9JSEOcsvTmIBfYUtxJjvmQ7CDJCiF3nsgtuGxcr41DO0mgOq5YyPfdD2iozk6CMvDmdDgBw+8\nfAK7V25DjAnGWgRMBVD21XQRg38L7mNtpuhZQ2v5W3L5fRhjSgR+QmTuOACzZSbk6rYaJ3zQVNny\nzsMJB0ZYI96OQRfqDqRncV1QSDCLp+axVkupx6pVsi43T0Tj3XuaY9EKr6KFmEgt20Vh1Ac3VLIL\nQna6bUNX+jPtXgo26vvosiJwiJJQEC8hSqSL/U2AQAITLDTYP3F+wQAAAZsBnkRqQr8BSLHMiz+t\nPCIRORlQ3zABanlOp7KU7MTeYBulf+/GxI/igNHcrob1+s2yf+6QE9ZgY6PQU6NvgSCKWkp8erJK\ndrqmUXsz+74InpjSz+8dLhE3o994qsYytdTTx9uqiUOqqdyY7Pq+mA5ClqEyE3BzyMtB0ZJck9Q4\nzk7qXhFQDbAwrRE/YqfEjp1JA7oSG1rUE7uEt9FA6VcO4i0/MF1YGuUSUkb1UQpmkmk/N898Se1I\n9mQhDe9V1swt46FXMFgGHZA9K/uE8PWy2QohBKHyluwHKrqKCOXW54ARNXZXLGeursFSprxDj82M\nidViGVKYH14mJzpEmLON/qzraVFgVrHgEtpC7W8IeDkXJsCBZRGcjvJ53D9UzvVTbM6afaodZBNx\n2N7KDcB0th2CJRLcb9Y+jyqrQZWKH52Mfqh/C+Yx+Kgmc9gCBm50XNUtQWog2PdlFU/dIQGuo50W\nJJ78U05yGg9RnbnDq5xbKwVdMhCR0Slv59qnDn67jDoJnmU75DaAvd1ekzQjszpkoakEktzXwKkA\nAAJfQZpJSahBaJlMCG///qeEAa470AB/SEZyoJlgVOkQvwSOI4NAHCYbpyHHJBPKM9mj15PrT6L1\nevl01dzcsdpb+KdzmNK8pvCxUP2zXkWNwc0ctC3dVUVycKt2aKhwWP4a6MCw/A4hbRSsBA1IfSB2\nJi47Ez93NRJhUOE1kN23G202TnG0sBPi5olw4C6aeZBoQH0MmpW3B0zKjiU+VVaH3OVKxBFsMG4W\nB/5qLDXTPgyUZJ3S3G3plTXF21zWbEZuMD3jHM9xG63TeoU49G59tlIjM4n0I5Nj+03vbxsc4Wh+\n1W3fja/64FHAKWgy1cmJYCqo7ExjoZyRBhEIj32l9czlJzbqAUh7ZDlevqBqtWuj8Kr5nTE4qoGm\nxtI1A5n2Y8r1DE71sfj6KEG+OppV9kIrNqRmA7K9iCQLhyBhHrpfvGIyJHd/3tRy/MBEGkGWUTiM\nWMTD4A55YYPD2rgT+sO2boa2ERq8USG3gk2RvLwVZLOU3dFRWG5lDgTsA2gTtON32HpezFFPiZBZ\n8c8imMq9/eHibOLdMzT8eALl/psLVekcuO6IXEX3MADz3zhOx3a/NduiV5QIgAc7kfSl/JKAxhEE\nG/QZVHPQtpXL10GtPw/qRssjmBevNbUEf+uqm9FFg5rneW5l1E1lrFHvpqNS2oZyDE16kIvnc6+P\nvRYG+Z8HlWK/9c9Du0nv81a9boNA4wEocZX32I01yRw0OG8BJeL2vHT8QpqIg/MDoCZxRyL6A3tu\nDhKn08tgdkP2JZzWOG/UXGkTy/UXvvSGFNkXxq6Ce0D3d8qtJWHYMQAAAetBnmdFESwz/wCxS0Mg\nAhvnBaDOB64/t8t+adFqDN+g1gOAgTluetAFtPk0xC9mjK1TiVMEvLbXQp5BpYHmBgmX6hrIdXoy\nrISdTxIGF1O4RDTVl08Bj7BnCQF22Rvvz8H3lhdooxJlucS+LrW0WkY0BFjbTuw8xKSm9Ana7DFs\nbLXh1T51IDIIKZ4byuI1RmNr51KSKz/o97wApHXbS0InPHWLuv2qPY7uKHGorpeMbGqITsujci1t\nlW5uGLDvC8+zX5P8fUKYLnZqNKuAfbPFjQlPvQfspofZyJ9KBcxAGJVyIfkQ/3VGkqf+3VS48psL\ndm9+/RMbuagiWYH/M6YQANzD6hIo9Y+WyEY6xP2pnvStrXXpnOxhPSFup9EXS8ZaIOKxHhYIbDKD\nM0QnDnfty+PT23ipZaPb2866+nmsnRdPRYhDzliVxLC5wUHOfMOvy7uQUawHRRYJN6etFNFcqfDi\niIKH501WN7Po0OozI4WG0Qh3Iy+1uZim7XpodHXVXDisegYgMX9i6ODaDOaVApj7xE5/FQvSiran\n8chkUJebZxn9l4r4szUz2Ag+4457v8BKtM24HzC/PrAfr5EMWLyf97HqW90K+qy5rpDbouckwyOF\nOmYO1MCRasu3b1JTszeQJu7Ww2RfBQAAAZoBnoZ0Qr8BSMxsf93pdLw85PAAIfm68Syr/RuyWt8u\nwfLyf6lmSjXySWangwTDjgWMHnJ0GsAoltJzLoWqheXLt3EvlUYiXHNXcub+MyBbX/2jaO3cVoPo\nPh6+fTItki66aCqjVcJQmjWoIyf9kylgZRIef9rwFRY2O6FpmIiG84TXz0gYkrMWgDtjWdKVBhgQ\nsPZNAa6oOhDykmE4CEATErVk6c5CjNHvxBZCYi/VrwKSKPfzOxRerRuJo3PihkUlGLm9n4G2b61Q\nCsEkVW3suDcgIiMOhaYo6ES+R2siwjr3c9pACRn7STPDJzF7ntg3+X/lEkrDSYuBe/SRh4dHLcpr\nD0jji9vMvD9K4JWo2i5XLfL8j9fo4iI10Tc8wR9IAGYzlT+zT5XTrFEYwbSsAtgOGx4KofGLLtp0\nSIJvwG8ghY7XFdHpYGVNAg/8SeT7zyAqmkHO3mDcv/jxjcQ7outQASTRrXHkbez7hZ5RK8ih7OCJ\nzJbf+V8S++PIyEH8VEt0I3DcfeAsSFNFhEOassae6PHkYc4dUAAAAR4BnohqQr8BSG2QfelDTapD\nc2zeU4Uix0OYD0AIFnQZS0sNNgCSB3wpBK3cBvazpkiQdGDn3HyQMNqQbrCTzk7duOufCUQnj7vy\nMLSUCVhoAxUzNZ/kkd3gP73r+uuBG1V9MFTtpQ8RjdtaUrE1r8xrJ2ZLJcyw+iiy8mheNXGhOw8R\ntqdkXzVHdM5v4BGB4Vmh+Uv1CdZ1rq6z3HQcGN1oBRDfQQs5+CfrP/S+USWeYIQUuTeX9cA/HpRC\nW/Ge6Lrify9xBXS6M5UvALTuitzVnGHeiGXxh+ASn3I/FIGgfwSqnHXnzNIjFGjPtG7JEGZtibDY\n9gSpj9qPvdHCAu0I69L9zWq35xX/lgdz/6g3L8kZWzAw2AzLvQBpsA8YAAACPUGaikmoQWyZTAhv\n//6nhAGva5MABOSH1XlK+lLwXeBLpNc2JOnRJ0Wfzw1QtYVGPtz+ySnXz0V749AA+8DMjqQzIxgT\nhNulwneUxYodZICTIRwaZow1pujKjBIKPsDtyIE2Jut2VT4EGNn+Tr8IvPpfPtfzAHl1mPDDxbDB\nEylHNIDNn7ldi6UCJy36hiXmYGF9EMwS2O3SP8ZETstbtFOtiQ5Eqt3RUxyZPv3G1Ps1RFFw871E\nME+agAxPj3KLqLQCC9OL44PLe+tXuFbJd0sBRdTqQK5cWY/mXiienKn43LSqyeoKichFrRlf9kZM\nQ/DPl86GgDoXzn9M2ARYaaRB5gX8Jn/CHOPLGnteo07MbxWfHGF0j6RddYY9y8Vw8ZyzNCjMEzx+\nwvT2woZ1zLs22p9/FJZpna/XWk2vGCjd11SI1Y6ClutDlJgd9jNKL+YPInbVD+hVHLpByayPyzZF\nnWBogrhYfdn3810oqWyMWkKrWIWtksiqB/wefPKvJ0BhSINdfvfQ1I1By5UHlOkDZP06jW5ysGlO\nkE+6BQYEVbKenaYyVBxroD32FOyPTubxsY7RajfBu64f/xHMZV4oeadYrPYllEyJZaCwtJj7ck3+\nMHv0Ez89DZfC7eS3LtBMW1cjT1dKDdbyicsdtmCrx1BN79Vu2qymXoqbnvwqeGTWhrQEenSQJWT/\n2Jq6VsSATvWeZU1w46A8/APB39Dv5pwflvBfR67EANhP3ixYjwr8P5+eusa8b/CdgQAAAa1BmqtJ\n4QpSZTAh3/6plgAFApft6RB/OlOFmbCtABECOxgJs8hwORIPHn8w+mcUGkpY57T2dn/lR4df1IZZ\nhpPWtGiqEf0UQOkrjiJB1Z8Sf0GqtTMWkx2A0KE8lzBjvqbIJFZdyBmdaSSVVWYz13EkhP/EnOK5\nqBQhDXM6Ih/DQA0ikxpbYBPPMV1WtpLlpP/umi0mUbG9QFxS++rfO7SbGEUnx7ei6rmyc8ngNuMu\ndmF/iMPYBZtGamV89vzfUwrYPZCvUFAxTSR9QFcFDjdmmDSQS7dkrqpEptM2KiYUvIhXLUjbNDfs\n+w7n31MIlD++OxpNhnwTMSSEutMllmRz7oSBecRf1HEX+u6w2TlTBafi52oM4zQ9S6HS7BpiLqxE\nKrLZVo3YpR8WJ7aGMIYYWcHkYEJBA70jjBK3BgldURJUDNlLivW/1yXDrw2wV9SO888PQRD76SyY\nlDJPnJJuNwbNRVPZcl9UNiAI8eP5t/ELuQfVdF9KSQTAwBVrHEIGJaqgt1+sEkLqGHHGyvE36lnj\nxz0HWGUWwElTVJPj4feBHIBaD96O6vIje5gAAAG3QZrMSeEOiZTAh//+qZYA2rwEsAH6BaHhZTTu\nAnU2gaUCT/ItbVQnqIMNSxPnC//34E4WcTSC2X2aPZj1p5cecSJZTVL28oXX9Vl60K2s6LV5DWFZ\nYWdVmc/T9n1jROh7z4CKreZfFgzfnZoQ507VKNi3pQfJVHvjsZFNohm3MQNc+ZJCHfTlqCS8vYl9\n4IRAoFXJ3MtkfwnNDuffpB0aPP846xT9M9TBoOBO06aZy9h12Jw5mXVO9TqnvSi6CnBIMBHnTV2r\nxf08+7G3mgK4dUQfsho66cq9O98S3A1bqZ/c2bwi0qYPES5wBOnkgBTuHicocKIcp4PPyHah4EFk\nSSEz7YfTVsmYIwLLEKCrwddYfu7QPqnG+OThr1WRc3G3vx0/vAOpTUYkX7vjSYj7fXbooETh0SH/\nTu0I7lemmpsJR6xBnN2b5ixtuIdKbzN/bcPFcp3HSV3S1BJsVjV0/3ZUrLbOwzog+G+6/55NRome\nePPZemOpRd58HCnjBc0iEOE74YyXVb/J3k3KSnt9nJLIXn7GL2S/5gAF3touP/5T/m55WxrnOLuF\npoVBYP7bW0U53ezpoAAAAhlBmvBJ4Q8mUwIf//6plgDaSskAD4VAjXXbF6lMBtzeEWVps6NWCpTs\nlkQG4UiEeEJrkHx2dMMX7NHssz0UG0Jn1K7i9M52KfpDWFcBqOnhtZVEJERkx3zAO+71SrSuXUFe\nQEzl4ZesjWYT9vJ4oqBIkQxZx+msX7ZJif1bhMugc6DSHLJ24MUhxfFZIKtEaNbH2/8snjQlO+73\n7iM/iq44OWgSvGuK5OOQGm1wMnEhCMTHuTZKde0yY8UMQtpBF6dnY6VH2qbEyfTtf0Gd2tfvRb0D\nBKThceI8U5m+UvrUzft0KLtGX9hV1qejWDvUP1ClfsdkrfiGxAKBTRqMaknVyErseVUQIVKSM2wX\nuKMa0hrB3hfqekXA7Ep3SG29sVvMbPOY8eM4ljH9fcmT8DwsLHbWu1jOvtedI7KxN/ihEeGkWbzO\nsx9q2p4NG1AP8gNFdZrN8UI+PnNK3ttm2VBdAtOPhr7gu9JD2IGQeKp+5GCJXa+pBIKhaqbvueOQ\nYMAA4/EyAQc3f0ib13uKwv6sCiYH1XAo7xkYvbOkTTwHWTo2WDrWRBOOdrJ68Ee4TCgK9E2f2xKd\nh7VzL/ADN8Gfl+8HjP4QAow1wgUneG6AkRqxuc1I8/DEC45zlP/58mUv35l2BEbFdUB1yZ2CfR+B\nmAq00i0jHd/ErXgnTifAFq8iYyy/1oUOIi7qZhigm2NE2i855+70kWEAAAFEQZ8ORRE8M/8AsSmG\n/Uq702Wn/7NACR1EKG+GJ8/HPrltpmjCC3ep/yudnvhn4RxX+z5gt4HFmcWBuRAzOBDJgNLZlfO1\nQx6TIVWAxbzFKuFyucGk5OGpxCbau42Zgcjkyn4kCe7H3RRGVzltwiiRhcehBc4BaMNDM2aC6r/F\nz3nOfEEw+//uARhG4zRFxrczkg+sfZWx2NNCtMwG6Rf3qYFUbXH/qYLt5q9yqmWH/cC+EVWCv8hV\nVeVpJqzBG/oSb0LILRuKLd/jV/U/iE0Oef4vjCI4mLlPi6FMtMK3fuI8YiKL4Bj8qn+GG2k77sff\nC9eDLjuQfV3b/iA3OUo3fIhILZ8qvA0xVsG8QNrPoy2sqTHl3NXc/0Vgun0kVnVdLYO/secz9b9N\nawlO9PKFJKyA5hMkXHwocY0RdXdSKb5tUby9AAAAwAGfLXRCvwFIzGyAqEIHjh+4oTluI/fd7+f8\niADafPWgrdakj/RoVUjCN9s/kl+VqwFsOqbe4tW/0d8YumH0I/D9T95/jZaN3BvfsGIIvz9OuG3Z\nNfTRP72yY4E5Mf3FnGHnyMN7QfOmgBEpzuC881ChI+Iq9QrVQGZmtcBU3pPbmdSqwgnGoOqATLC1\n2sEmw5rq/Mwt3I4up7qIDXjrkICcAdXtx4RAtZ+gZuizkkBP+tX5t0+1vyWeBfnKVLY/twAAALoB\nny9qQr8AB/Az6AK35bon3uOqHwVSVAopNMa1AIc4Iv/IzfO/vLqK5PV/OzKB7xFQpstuzQxAAOMP\n7gaxniDHngeyc0Q/kGnzOaqc4PxK47i2sLB+2S4s2AAYAfxGYGlx2xQK695KN1pJdZLRDwcsPbnN\npGJpF1tveHmmpwrYhlnZwNr+Ak/AnZyB+ZUOYOEEYlfZFWQCkz6Do+SXtmWeESPqEI/b3shy2mk5\nC6ItzakK8bCcmUGQN+AAAANfQZs0SahBaJlMCHf//qmWAOOyUgDcIVBSI/4EqFvShqVnu78pNez7\nff5r1I4T1/bN3u05sJvw5lXd86b427DvFvqAiJ2y45LyhGE9+/OSXr1kahK0yosUgnpXdG7HscSd\nsmxqx4xOCw+VEjiiaUvTbfG8V//CWYlLrzuLKa68VjxmXa6eccDghSVryzVxglRjT6r+BKT0xiCJ\nLgSTXMde64YETqhcIzJTI/S+sEGH//AvQIcz/HD3F4ICJC43Nk/Emez0ZTHNbSkgHnEVM4PCUsxJ\nlIQRDGJK4gmisXI5Gb5fOlBD6drGTagn33taX9vU8xd/Zp4Jjvsh8iMBKDbUjOs07TR/MVdHBaTq\ntAYWI9wtcDYxAGNeN9bxaor9IliKS7PyqXetcDYk0tUVrMHgF2KyZBIyGQqjawkYvsx8t5hDjfg/\n78CA29OESWW8zhgLP6KjvRemSxb5DzRek3lI+E2mSSg9aGb6WYOyQJGWM79tK5xb9W6zfxaW6ClU\n4sluIxQxLwJMzI5sQBeq5X1t1IAMZPKYsH5hTLe8aW10zCh8lNHRDO6Qup40nBvCmbc3gYEZnBvh\nctUJvdZpOVM9Jb2MExG3Vc4CSAee5x5MTPuPqi36gfR6Ue15WJt9BIXvNhbMtX1RnJUbNiX5HHGR\nrYA6Wv0tSzZ4hH9gpDAiXYFHtmY+0H4wXeDQGXxLjtJI4PzzE0GBXLrGWztT/ZvcG4Nkd2z3RpOV\nTFY/ontF00e/F0hLxCTylitjHNfLQnw6sfARXCJmnTk4UH/TquTW0XOaoib5b2InfUIxbBPrucs9\nOlD/KDj+VyiPgLz15jCCiwWe/7Snts7xaXqx5Zz9Q2EQozUDMOdjg4hZhY60KA2YmXLSdO/JP9wz\nbCFsLG3fSZmeqWl/zRAdFghXdEBe0oYoUixBNECYHO5mO4Oyo0oLfefT4pGg4xj/3DRnxOyo9Lwc\nf6b2vPiAazX7z0lo3P62+hUzn3zXh47nDkXtAAXFbD/YT/ScGTTCtjw2cyrHSEXkAAAIUM+r5zaA\n+mA7OrO82SFGYxiI9WcZEuclEKe2tn/GymDsU2Fy70HTpy6LF4DWWAAtZa8Yai58vCmByd+kzMbI\nM9DJecdaU2fb6KddzfpfgPsk9GO2fdLKqegAAAJTQZ9SRREsM/8AtakRZQAXFumbcmJmq6C37jTn\ns3gp4oxYclFKJYmz+aLgD4J/1p6e47+Om5HTzCK+ZypAkmDQCllIrQ8ot3/Iw+HQwGNML+DxGwEi\nkudmMRxY1pZqw/Htl31ZQlSWAJtyAeqDjIWYQM1DG2kdSbbz4Pj9piuxHGHfYHD1Oqp8ja1g+YUS\nPaOnabtw/qBh5MIazgHUIzHa1uVt/tKSZOFJJvoTDQM9SubkpV159j5K/N4u8l+wfo/D7fsf8OhJ\n1SxsYD/D+EVHLz3fRbeYoYnx1Tlr9f4Kjug40wkVyVtQEQvN9h7kHykW1rDVqdUuvK27nthY+ITV\nlAjdSzKR5SLxLVdxOCAgr/m7595QfP4K/Bj5ptlecN9vLgDfG75MuS1wNwAwy8dG/einRt8DjBD3\ngHm5rzBLpOt4xdHc50LQNWO4m9w4ktzf+iqJZ13W8EMnue9jZM0CdFjicLIbCVr1XE9ujAR74xJH\nMoAEZF1mEU4dYKu3Zow/eg5lH5rR3CSR05VWAleD+YHYvgOyzQWlgG2HRptG2K9q5zWpBZOAUDhG\nANe/FsWLGIsrn+LY+J8IS9A+uGY/wNZpMIgG1EFKLhomyGO78QDzoUcsEArbiH/LFQnD3ugnLV6a\njsfD5McescKtYelKYVHC4kBoB2c19uCMSbtAk7kJPkEOnl3NU15oun2WnD3qSWwym1cUpCmu1Rxh\nEjgQ4lmXLjAK9rR4YNsEyEgknG2PQ3XqNOH9QY1N9YepneXqoySduQuSjY/UWQKz8YdoUyzJIQAA\nARsBn3F0Qr8BUckqDoAB/EH1xVAqHV4s/mxvVAmx/5/M+1AxWUgAdvIWu8FFZzAwmH+wK6FSgT3n\nSaiRj+voQU+XG+H1DDdS7v6SsqaFQUL6AtixKPk8bBxKx+fG+jJzMaWsf8tYOSeh8fII5Gfc7PHb\nokqiDhItnwMd5idWpeSpPxvy0FSMubj0DsWgZ9xoQaqKL1ytz+Pq1W7pFsYF5jggh5Q9bMhBHrLA\nAO3zq8/5kSa6UCgjidzxqcn90pycWLRTqxq2n2y9qIKQhiwj7B/QaFwMaI/3jIza5oo0UIUawt01\nluvfhoXYoAYsxLA/sgllFgKQ5kQ2FNIBBR3ULjSRYRdcfXqQQE5PqwrrPFc9PWIqAGQdzhFD4i2g\nAAABIwGfc2pCvwFIscyLLWWo25Q6rqEeAAQXNBJqM6RGyTGWqs921UvjvtXHRlrRQH0uF9sanaCE\n1a+UQvvgAwP9Ar01B99BMeS6kMW49xlQ7di81KWMi2i6L7EvjUB3g+T5lxoF5UBXJlAP0VltBVw+\npH+QogMliU1iY53W2jolNfTPq6tsJznzUsI1VZn4qdZLI5SpTetXBzv1PSkOOvL2fVmVRRF8TKBR\nwsWRDiUo/jFeXCPxOXr9w/TDCSQ2dc4xATRQhzXEbx+8TBrE+kKMKi4j6zzvSTd8TH8Kcin+K4qv\nzttAaB6ig8eDM0hLp1RDh063Bg4CE8Dl/B4tc7kRvV725LiM7ox9n/8+Eovl2j/nlilXT/lMAwYp\nLHDZGbyxFcac9AAAAqpBm3hJqEFsmUwId//+qZYA2iYCAC5PH9iCrc3LJCqAGexOB6A1pcz7c8CK\nFl+zR7SXTZ7dYCjLGX7STK5GxbfEHAdpai3BUCv2cmoAO2mtx9g97jwnFP3Pr1thDq+JTBLe1aHE\nMrCf687rXfmOPKje3g2XWeopdNMnCA+W7KOjl3SPHvGWBPkVpcyuh/1K0mA/MLcQd67oUCyU9RW3\nc4AyYcv9fztQHNaqHgKLj1RzFNiFJkf8PvUrZM6NGUgKwCPE6ED1NKOSvJxz4y2ttTUnD6p5elKp\nPZ24PF/sib3VMt0GLWIyhKFoYY11PulWqiwajLbp4vedxX9J11Vkpv/UBlAhkwaeMk+ZxRjAgkQ3\nVAJrrpHLPI4tB9/kdmg9Lx8Cla6rVKxFN5XkMaHOdeNAhsLH0k52N6ijdn1PC8ZCRkvhOp0PdkE/\n2M6bEJ2Xkda0TMZYgQOiLz5IdfDpUhVKaAYpR2BIDqba17+Zai0/fzXthMD43kK8SpHANMy8KSJX\nBhZkzS5o1cHQjOT/oEt8WEo/VjXDz0P2Q4HLXnZNj7YVuBDMdy6ZWezkPETWelx3kDvFOeylzLSx\npXefuKmIpyEaQ9gSTarsUWu2kpJtcUx3vV+BMtAYyLQJ7bSvlOau0ZEI0kVXKxpVUAKDutBRyjCY\nl0NyznwSG1OLoarUuIZYX8Yr7jLohTyroCTxd8HQ1IpTIKv7oP0fwqHQvfK92rmRsj9ohqhWLwp0\nvO9tOBB4X+faDWemffUltU6z7thQ9LNezxk1g0gK6CyIjptYNW9h4h1KJZdpcDsXThc9YM2Oo6iL\n5WC89sABS2/1kFwvn9VeaSgIhv8b1QYE0TGZp1SDCvV9vqHm8Vgs6t/s6ymHzbpMd9tmSBffJQyE\nIKRJNp1u48ix0PlXAAACTkGflkUVLDP/ALEphv1Xs/lCGNbRFW1wAmmhTP5CbyRgyMsMgYfyt6tG\nQtzJLg0ZDKHhsKAXOVP8q1SjjWcCZNJk6cwwQE9K/d2ll825InLgkFGdS4aCtfKdlWgZ6s+2BFEU\n5BmU3ZaEl7jdbhvWyV6YL5ui/MexdbXhcs85E8GrcGP5EmJbFCRB2jxn1cTYw0s4VMadLOosioBB\nktP2u5kYSf8QboKDHNP8RP3vPzowhWxMbgOe1WBm2jalXBhx/OCftdPuT/cQVvwKCccr9MaapSSK\n7IisCkO8lXG4DH7D+U8hOswWXdgoTwmqjJdSDoBT7CvjAJ9r4wmXad/4xhnXga/ygoCQr2Jk+Hch\nwECjFYD+Oy/Tq2/zGken1KSElvW2Jn1ewHS3GG9cvBDUDPMVDHoLTKjrPQ4qmXJjZAj2ZXApkyaJ\nN1vyIOYHTV2axDyntEEkGjJTH3Egp0pjtaLM2WiD5hvVjXJeQB3DkrzULPHthxLFhwgKd2yhsm/V\n4YTqVe9FdOSUjQbZnGxIqePtKMGFeBdZbKvJ+huk8Cr1GlrtqsGt/ZB0ZDjQMYKSUPdoB2zf5m39\nWwUIXEe4w42MaiKQree0Rqpc2BSHWQTWZO1rW4VGUuqa2lScI4PDgwsVtroCYBUkkSATDksW9L0/\niqiD4LzPV28Gx3bBzZ8PsS2hElT1pAahJ/9AVo0EuxUn926SL8vyd7XDgW0rk/TmQQObFtZ4ePwF\n4nh3xhUTy9+eQQfeHJJi9yrknNKMze06ndu9+10eaChiSkpuAAABrQGftXRCvwFIzGx/3L7FZV8w\nAAPUtH4VG9E7A6vPTg3SkjjASQFpJQTGrlckmXpFJej89CT1Ct4mWv0JLwkjSToYqW3TAX+f2f+F\nIBzRMRyZetrbb+Qg7+27V+Z0GKvhhQbMWUusq1JLhEA7u6rmte7rGmifpwLNAYjqKNwWjq3wAfcB\n2q1xjyqnUdeEYf5huJ5nQRy6RXkXy0PqoOk4PgDl5ZTmkhGfM+zGGfZDSeGW1FQVTAP4Kq9xOGFU\nnDIkO7RJLqfHgNYvQaQGqGUA/F/XFrclpIDwpMuSoEOx5y5T2kxwfBp2drXjld7IKoimagfGsUT3\nTvNab20m5hbcCrTBBu/1DG1zGKfZ5vYpKUIJyd1UcmnGyN145WdX7ZALVmDtuZKRvJ1xznyrI9u1\nRmqMUXZXzDeC9kZa+TlbGnQIFsG6N6S3Ookguf/u7ZQHRltq6jafh/BwZepgK+y69e8GKPcfWWVW\n3nDl3TDLjZTM/uMS2tozxeNEx9cUot2QVb+gkSFe4vXlA7NMvWFcylPyKuzjKUQncXh6VFElNaIy\nSUddFhh0zdwnVqzUwQAAAboBn7dqQr8ABFZTXOgBuYsRL83UsHjXsOHEVd629Enjs61f8vWiQ93/\nUqDzfmWFdex39zAhASW5n0mgUBMm5HXMrHLB265VEPDHDGd/cdh8fOyipWIqu+uhXuJF63Uqy+UV\nbLHJ1yvsZuTWjpzNE1crmIZ1YIC8Qiueq7m9Tte9qqpRB+vgCZHF3xDj3KQDg8mRyu/ncR6+CJ+1\ntI04bgbufhL0CmSnxDx3oeVWuIc2yISA7VnLIZoPLXDGtwMWy2L18udtE39Ac44giWotdlSLqBWa\nl/FkHODHI0N7r2j0bns0jdaJVGFNphCTCgvmfoia0EB8VuHpaPVmXb+HdyhwUV9ukna8Y2fSuD34\nYqbntvIhLgcdC1/vWHpwh2AlqY8PR+jByrNTzpqxDLWM1u6K8B/GKVyFrme6LmZwODTcSLmkIsa8\n8XrJUia39bHr4it+T1gSkJGScCCBGAH9pU7qneiQjyCk/0uuk/CPCyPqOkXMUPvB8miHCKqYV2ek\nR/FQmSihbt4ZWF4bR6l2RBTbh312VryuKk7PPClWKKLQYGv2Uj4l7J+SIt6iQf2FWaSNaZY8qmBO\nkF4pAAACgUGbuUmoQWyZTAh3//6plgDaJgIAJ2SeepwIdsHdSPmB4M1ONQdcfn9k0xaVNmg3WuY8\n6Pto5HOToyg1OvfG1UtQ67MduQUuzm7eFIxw7adAvw4ybtGo2ek8XHfmM5SqK0+DDAGUHRPHRkK4\n8F4jct+aW8RxPDROZQDJ2dLX7/aagXfw0Pg1zzWWym8zrJ2Nzfqv5IOrhu4MDtuIPzkappdvsA8P\noTWcMPXGn65OWwcX2hFwN6WkGV7kS/23RhsoAEI7PxpDACMCXLqrqtcgc8d9zsr+EfotbsSwr9hm\n1qNXdn9V2XoPpG0keixR5j6yGpzFYfNZ59zeeC12jhdoKxRPRlmpwv3KcXiqJFVSlULUhuDgHY6s\nuc2RNNt1CHOzefC3mCocvSRxFTY0LHxl7j7TeNyKqHUXs8GkmTV/YeKM9KmVyelg04jAFEG7TIYB\nzIqmglHNX86R+s5ASeXnDvfHu4XxsnB2wGfwB1MGYMXir65Br+1Qx72DHtHfH2AfaPq49Ud7Ih63\nIklUGwlqyoCEMV3OLEnhUD62fAEzKYucnWucpASeFyZV5qAMZ0XwptGnR4kVfbgJ7tQG+eIYHiK0\nCJQ7/UEKmE1Xs6VMl/cpDggbNcnwBPKag0HCMICYUr4DD73Hd09BmU4YtfTdNfCVN8cF/Dr8tWhs\nEXKDH8MDxNZ0it2s9zMKxluqs9kpMtKL7PnkfGydaTUuZLSoASPZ/RMc+h3OFE4a8ZdvBXbitHdW\n4CXAIorOsy392Rd4lfOaSFt3+VdM8d3Y6Ho+dnxBzcP33ZZMQIlWCetTyo1RU6Qm+e1Y5qG1oQ1j\nHo1Fl99waqiekI58R51vK47PTv1BAAAC9kGb3UnhClJlMCG//qeEAa470ACTHTb9VfX7pr0bJ2ul\nY3i9aZrruYsnAxSuz+eLFrBdnU9mj146/NbXG3wCt1Fc4hxucaVfIwMrt52xF1ml5AQCWg/qGZkX\nf1r6L81Ci/tgxZ7YJDdm4iy99XJ8B0gS4qdTkWo2C/39uuxXvYOSA87R9Vpq5rquSU1Aha19ZMXR\nAPpqALs8l1bIZZ0d4W5RXUNmnEPsWntIZtRpeOGwbvJXonriktcUVvygJoXkrTeH+nGSU2hWZ+Rj\nC7jntcVJQ+H2GPP4N8wwOpUECShETZM9BEX0BkAvJS2NmnP5AGJdqywGtC691ieUlQCPEBpLzkeJ\nGQVWSFrJNzwM2d/IIF1hjiHxTRpJjWboyTi5x8tKnzgf87/aKwfjC0qbyxzP7AFnfAvS23jS4/Zm\n7HFPAWpJVpokmRaM/h/61eaAuAhdCsLGKDnkm1d5mIOpGTc0SVb0TwoQqHd5PckDER78RuwBdI2E\nBoMeZXnovs1s9knQm3TM30butGGE05Qf0rlTMoM1+3UR8mznlgHrjE9BGAMSYAr061B+CNeFvP3W\ndQjtcW1kXo0/j4EBKWOKj5CWoLMhuU9iudn9BcqafkP9269VJF2M/fvHS3GguhSQuDrthDfXl66g\n3w+K2PMAoDw5OSqRQk8ZrUEeGJYn0rzih9i4tBu5l5yg54Fvv6r3d7tEiKyN/xdtRWRgHJmTXq4B\nuDKQgGZ4RUOfCYb7XICIWTpUJg9R9OthOKA81iiebNygRj+fq/L8CXzHMtMiFjlGFZbH2A1Glauj\n/nRNVQn5vzDlaol1N0q008DoMkABTTZLNS6TVL9/LSeMB9zOK9824OrDVvPjTNJrQJQMDUJl3Xfp\nlwkD1thRvej2WEYQdQTeXecmk/sdpO1FMt1u3P9wxWGeu49gs6kvquEAL/XVZjDOoNqodH9hCqmK\n010lrl3CCsJPlPdJyCT2YCeb7qossrCXSmPRA3LSw2ifepqbLkoQNA/pAAACZ0Gf+0U0TDP/ALEP\nxTmAA2MZ2vorf7nnrDdORWUhg1D+jojPgo3JW80KmNBYA7+aFOl2qREds/hKxPeUakApJ8OGM+YX\n1kOx/Sy09JRJFmZ3WKtvzXUQPjWlxMHMhjT/McKiw6YTtxuOxPeqV83GzHezvWH8OXjhVanqjc/H\nGHuzgkXGeYfg7CvvYhs3Y7XgVhdmeoK5xNS7ri6hiRDxjonhTzcOqNu9+FaWRj+z8g0wqYJ8W4vf\nTVUI1hViBSQQTnLD3HXpbsYaQrlJYICof0Ky2WeuIldo8P30jegGX2S0a1iLgt6PggdLc7wYW16r\nHrazMl9zIPnqWqQ/ZHEZ2sLIvZfZJfrWDlKrYbzslmSVW6m+ew/ZT5hvEQN40hI0qxFYWsm6tRnY\nK0C7rhkPN+969EJuRfkVtOch4+hbc5Ez0pE6KDVMaYC7Ahzcjg5Um+fFZ5Ueau/PFnkCIkbfEbeO\nOnelAUt0U3p3yt50/Re/sWEIoBX/Xq4psD5zLWqxykIEp2whkaJBPwZmJ3KwyKsWUWaOLP9djSbK\n10+rJRbe+PQbD//4h1thk6KGCtq3u3R1pv6pnNtRz7MsNChOBA+fhITtmv1fvHGTI/kYd8LP/1ba\nLp1+EGrk3DVilz4RJqRIrsp75AvbNGzL/6x2kK6hh4MtL3GHjCQwYYOzmVjMo3OcfujtN/nAn1F2\na6C9rHo/vy0pDouN4Of0xjH/2lSJF4/0LHSCzwMGEXMNoE5rsPKV/AvJT2Csf3ULO3DizyEqHdYg\n6cW5dfcDvMakA/9iWqo1mfi6FB9lPDd1bHyRH3EAf9E51QAAAZ4Bnhp0Qr8BSMxsf95JN6unEl9V\n7J8+FgVACAcGXkxnlBMThfgMivNNvaqwiqLVy8lHAV7IE4g6eVwPvt+pMrRygbcQxYpfJZq0H+at\nox4Auv6WOp4xOUDKqmOdSTkPEZPipFhi0sflM59uMoBGJWHlKSDl6OVGTQKwFdaFhoBLBjVTb4PZ\nvipc2/tcXpCFaBMrskBVKUiMzozfx+7k1Ik7pMmKhWyzThLLcHoqM9mSbgr01rBafDyKggWqDTsR\ntLBsOQzFzuv2i3zJhnWCfoBuuvhsM2/h90gtZuB/w0H+xbl7B1Q6xMAJxWCRIdjRoSjaFktGZS6X\n26gp9xSc4TmnQo1fQ7JneXxKRxtwJHvN4DQ2/H8nqnZnICaoRKWGk3F3dKi5KSG2q5WKgZJ6adKr\nxtDYPe4cQ+dPpsh3JQbF5yJbEK7jR4Ij/KEUGKzzlyBTZ598bUt+UKJoe4exxp91zLIMaQavYTXd\ngMk6uU/54DcMw9Hv1ZVVe50hMQ2NDLIPjJ4B1bGy9ju32HiL10TKeDeE90bjC97qEODP+oEAAAIK\nAZ4cakK/AUhtkHydo/0wuVx6ALiRRgAhuttPyiJGCE0ysTWxTtXqmJQvfAr5TU3BlIb65Mz/UaC6\nyW5LrIVBAVUtSz+lbNm1+dwzDlYG2qbpF1912jDzqcCslC4nvGlVJeGgcoRQcOHxk9A+TUnXUPTv\nxOyxuZ+QSp5qD164jYIf0jJ08cTtDjKAhNJgnWIF8aUuo/GWLgdmGcFJiXJfq1jHFMX43Hs3TzyI\n7Dea/EuKLJVbppiFfEBTqYekpO3nwB+UAo765CoyK9xNzV3sbKnBrq4vzqrqYj4uAzP6vvXfJfi0\nNZEJs5zqefDjkIMTAmXjkgTmcVYn37mHUJCo763wWCLpTl4F6XPb6EfSjw1GENCXOxyGBE2Jua+8\n8hMUHcFB4tpppMvlElbV5DiwOftgJVLwzVczFY03pCtC+Mudp6LHqS94DjXGEfWlr8+asV0ND2Ha\nqg005ebOGsymt3/R4NaSLJgX+piWyBDwQ3A3j991vIVSYjBg1UEqTDnRvvg0FnkFEnDcodUAFm0T\n3qk7vwHe+0j/EJGkJBEBDrzgAe/Vk9++fShtX5LtG8qhJjIMNK7NozZOEhsqqdY6mFSTTnq+Sg8U\nT8YTYyrTMHkA9WHiMlkOQuEF+vN4Z0/xCXh8LaijlnRXjhiHBiWpH3z1uewu0w4iYslFmsZJGi4m\noxM7VuP+XXtNAAABW0GaHkmoQWiZTAh3//6plgDZ5+QfNNwwAkoRK3GIWYVO9lZzpMYMYbsH7LyD\nyjF5Y9XDlvrQHq+ocO9y8/smsxDIf5gexk0wxY9D6pbG2sA0oG8M4wL2gVvKrzRhcpkhFuOybiVN\nh7yl06E90PyWKB79YlGBvXUwSjfkEPduUkSCp8ESIUGEqo9FFIFJPCBn8tbbh5n/g8hiOzRVE/20\nGb5ForEp6r2Ex/AP/YM3Z5edf4Jit5tzewTXdlBjbfV5zwC4Mg1UlJTqPRdXQZawgEPsD6dCNVJ+\nYOHKR1w/cdM4dCCjHk2CGekPs31/OreL9M2iZoo2w62oW4CkmxKHQT9b+tk+X9cvsnewTrf/+T7A\n7jVTIM3tPsrXDC1J008QMVwyvl56OVm+DR9UtpjEA2RtrpKWkly+RwRHhEtypr4I4muYl0lSvxjZ\n/5s5WZ+3RNXxz5B6Vx8B2PEgAAACGkGaIknhClJlMCG//qeEAa470ACVRllXysWXhJVYK0rpU8a8\nsQi+sUtRFVeAEi1R0PzX7NHqR7k1ZxFfRWwXNUbdoADX61aSufj9s1haOowSmuenCrnhMYWt+F7g\n58PuSPxYtaek2rUbhamtKF58rSqE5VJdNRs8ll7ZQqCh+xtJMzJhRMTnYj6kcOlACkCC90duTKQl\ngjrd6/dQ1WhuwcFDZ7ct28NdtlX6kn67DLkLjwn/vV2QVEpTKxnDXEFP8VPsgonp2H80L2kUrI/u\ntvfhSll3Wg0Ij+x6BLnHTCbV3aKtd0Pu6bqi3Avz+s8Iv7CKGWkaWFF1rNu19WqwX3baD8dugwU4\nUPNTVXSWrywAqcO1M3y3UihT2zILu6iUz8fvOUmGVVtZ8sQirUjkeC9WZqFWW8nAEL/SYa9P6oMC\n2GfTLuxM+BtwwK5MyDdylga569td6UI/a/eKh7UiKb6GwVrFDXprsbtvyfBxzEMp1ImMoI1bZfph\nUDQUmfXU1j0uUbnZtgeSUA8fl+iCKiYhq4tPmIKVaqs538PSdApspLF9zgahR+jdgkbWCExyW8Tx\n/IYHXqRq+xnPdE7WigjThag7l2jWaEYiUlAsAyw9oCY+Bs66f/3GUJ36Efer1ZqnzEcX5cCnqfv5\nGBzBOfsSwslDnlwRM/Imz3Pn3NCmURiNTg97GiZmU8LjJc3VV3r1ogRGSBDPIdcAAAH/QZ5ARTRM\nM/8AsanQAXGIduzrSq8yTyO5/hE5vRaofQ6+iyp1Nc2sdczRh39mjNBrHISzBfWPgYRFxwqQ8faC\nCqdAd0VkOx+s4hd+iOCiaVDnwEuvSC6vB04U4K1pi9RqEIUOtwrC3W3nnjeLb7bxz7oXPYoi4H6k\nTQf5N/5JPP1bANLZtvZGsvPOKxCgLbLjGkLjWe1XCwn+Fuvq0ePZGGz5UnOxBm9cqGhF8ZZM+gob\nbG91ZSrfVcvXQ/h4MqWrNANOtKzUgHgNtHV9n27IHnBoymrx3FuxNEj2DzRMtOKxs6fI3+nl4avZ\nXVcF86jnxTvzktCLQuEvc+kyc/Oc+zEZaiozwoM5sL8IfVU76diBstCDdrGWjCooyi9K9Yj3dDI9\nxYNjd8P4EjpOF18u+2Glpwwbu9JivN+XtTdnR8lPwT2R6UQE0Zi4eEulvmjc7+jw6w/Q12/eF1o8\nqQpFKiiAuqQxwVKz8fXSUFZFT//ybJlH+IgzsLGNFkQXOX5f5zrpED0GDz9JUDIsu5oyTk62b4+Z\nYqZT8p2l9X5jhQFYh9j2Rxg29ePLOW/PDit1GIoMAuLYhJqPEh4nPz1Gw8wQyfvV75rjfOh5mKFt\nELnFlxuEQsEP5prxTz8FP9SnR0749T/aUlUgWa9iodvbTXSbjwbIEo0q5/u6pQnhoQAAAYIBnn90\nQr8BSMxsf3N99LlnRVmbQoLksxLP4ABBptvdXgoNQEd0u8fXzaz+X5anMx17DpRBM9EQuT9TVMbo\nOe+LbfozkRcuu/gjZ7vRE3k4O5tAy6VeNcWFdv7vaiAnmbeoiSQ+wo3BSzEN/FGcRmUqpiCLb+Wg\nxvsJdcQPSmjJ6oeRV4Z3n9fiArvRPZvQbEhdm9fTolcgL5gN4j8o/QTXd91D8dmzNpzDCFLW7cR/\nWKBeivz3T0+L3euBpW+n+XscLGGkDx5cZcy/lDmBt7XgA8FDTyIQ1cphruKQ4W7cP3Cp4vBtK9mR\nbObU1dSSw9QfWQ2BbyfbmwNSz4b7zmpYAfBIQgdho8x863Gm0SqL+j44id11MR9UY5+swjv6tAVA\nlplp9mZgwggYS+BErJu0GgVywcHvgS2rlMzX6uYjuOTHa3J6pHQS9Q1ecaRlvPPve1Kqwd7zHcoZ\nJdoVF5wd9BDQOd48r61zV55fhjAH0PMpHJKIDGBMSt2YZHyrGyobMAAAAbMBnmFqQr8BSLHMiwBH\ntftiGQAgFcegc1tdOxRk45l6C3otsQmwAvALmNYLg9ur3WkRnnEgUf7KQGUN9jscKcBvjwXbZulC\nILK9MzDEb4t6/dygywfe8/2gkuiyCve8pVXVtkF/C/uR6yKk/PUJgwvYFAlbaD3r/dgkGOxSHkyx\nUvAc6//x3bqhkGBjh4bkjUVvfP3b9Tdfn5MrBR8u094zH2cafcGiJYowKbsQYUfAaA3EDkUzljGK\nRS8Xs4VrrpJikdDYtVsJtkS8qGvG9txxAGTN3gdNzNITDX+o551E2+ydR6tKVYYvkYT0NjmNeBFq\nsV5qOx9JK1KiOjvRfmFvSZLFvp/zSuuuwxAQWf7OtAOr5Yd1NNpoYl6vpXwD6KVvjS/wDW8e/w+P\nkMufncbcTOA2wTnRBSxcbQ9F7ZjjqoEv5wLyfF9jZLxGCtsP0Uw+HD9cp+EQFemmdieSSGKSV8IG\n0qvuLNY2c+8bM3xQMTjnDo1UTfaq9ECbe2MUkpn3mZq/KDQNQWEdRo6vLt7rfYHJD8z7sTzuduCj\nYuq/JXyiudQFSAJiSYK5q8pgpxTnu1kAAAG5QZpjSahBaJlMCG///qeEAAWIEjcgQAtg+VSc3aG7\n3d8f9xintbLN6e01pej7atwNj5VHGwuIwBELhXS94X+GS0oagWJS+rrKNtpkN4mIGb0jg1Sg/+OW\n1dZiJu6eM9H9GCvq76Y90vH+FQzRzbOGwxVz1pi99AYARKToAF28GM9+dXMGebw/2caC0dmsRQ1P\ntol94+Anlv2REAJ3lbTGMIz5j2g8vOQzOPoOOs46zNsIUkxb2oZt+g2ExfU4ZsP8CnPkS4lZczfJ\nlXExtCI8jpO5ZouII75bfR68zTFWpx8FmK95gyjJvFUD0UW7V9B56tsHSCn18wpCEZ27jTV9hgaA\njr4OblRh5lvRSNyj8cSXsW0OIF5q1j+ZQWza4A/9m2L0P8r8qcMLrli1vg84RDfdhpsaVSUWKmbJ\nXVW7JO0lQPjf6T1WhKvlrDcBDsoF5LzGlSV5R3J9v/SHT5OtnyAk1FGagXtveUtLI12fXr+EE+uo\nilxHrk/PwMyeIQ9B639XpPoJjUDRnD629m8EFFrH2zAGsfrozypaiE0XKqmJD0vzcKHbGBDktxIJ\nVMGdLWQNuhqN79jQAAACa0GahEnhClJlMCG//qeEAa470AB/MbUxBaZCjEQI8+SkDuTo2IDCbN6L\nh2H5/ZJeBEnmzzd+WP1ssoVCKa3Ew2vQar5ADX61EUCKdQH5bNQcExZ1KDH1imZGqRVZwGQSb4xI\n6zPfeLWkE5qEEmfJ3UVguBfWQIHff2K/9xxo1aZh1t8Wq0UWQMJrE0Nx6O+bA+9aIHfV5yryYVr9\nVMx8JRlP8GaqvogXCqUTQiTw+J+dTcjp+jSSZU1+nnZQIag6GPPq75dvvUQeglcIihqS4sLsG9U9\n7mvzA+5GUT6WeaEqnYKr9WJpexZv998BKme5SDuq7zzihmDgfAeCdxFidikrf2CMIsVrxZSvM27M\ntXKmsqreQtDEgely6zMbW6ROX87tXTJMqK1d/7hwVQ17/2oGADdhFmozS7Jdw7Z8TMBa4QoQi/N9\ntQZslbsyFBkkydMTAsPO5FUVh0rofsNNe5wE/J4OpawmoEvi2TDqkYvu6kuL4dmqX5OPI4D2lHKf\nImVngKVuf6WMnwVcR1Bh3hGhoN6hlxS/XNvu3GPjyGE0l6h22N3Is+4v3HVAdjp8clvNF0O/u7ep\n1BU3VDegpI+RX8PYdZID6UJJT2OqYdY7/XLR+u0IgGxqSbsQcGIn4LDyLmfAUF3KqqmKSYEQ+2hx\nf8eaLrzCZrgt2z6oytvdUx144xYVp8Zr7QZqg06yiru0/ed3YtAc0IDjeQjsqt6Gkxo3FkY4XItN\nbkRKYswEajfwE8DckSlVxs3ZMmEy/PSN5tJ3bTW+xrA29g1I5xrRfh3uZvoVluPY2qKSUwQ+PKZS\n0vnHn3tXX9kAAAJRQZqlSeEOiZTAhv/+p4QABWNtMADi0N1kEyjOVp+fx013ZzbB35ZRLK7eaeBk\nLe0E00mvr3QVs+5R7JPBcYEMQGPkNsQE929GrwW7CrVR6E5Bk+pwB9ghhEH988D3n0WxjdvuGg60\naVssXMRTbzZ5cLNT/xjVhb/SpiNUQwmCTYeNLz0S7U2VatPyHIgS2TiMrInbXveWgqDR6UBn5eWz\n9tsYvOj5qqCi+5jSIe+rh7tnY9uyFLO9xE1y3xvdJboLmLswqpf8mBXafx/0+kOlQhsoDQA2TtFo\nUykIfCjrlGmu+fHLGWl8V2hXZY4aWKdjT0yHCvm04mSp/rns9JEIx4O5t76huSJgtTivcA0N/ZgV\n5jiffDOUqfoydvOBHuggeN9CxNzL5YUItifNCRY8TZBL+LTgp0bZMncIZ7ABI/Y880s5hsWNNu51\nGpkD9tw4mgacpBFgn2UuW9E0c7IUldF0i2KxUX+F0LCeHtKJyv/9Aogk5VJFN79wquK3r47WiLMU\nspjalQs4VtS9MYrSUOtImZDb4CM9bntQGrUmMgU8A6+T1AOSWFbBFbJklWfIxvxW5fjrjYIlSL2l\nBfFY3vm34Krk2qStC9gWqFaupsvvMUVSrdP/jd7ooHrr49tncz7ZT+6agJJ/KIZFpWASOilvTmWn\nz7Hh4CKsSXwaLlco/X8HHaUY/27ez8aT4p5pI/MguS7uL2OEi8Xwx+lZ3mCmw8OaQ5WjqaJp5qH3\nRP4yByUvH4POFYwy4/IWjo11Z6FukGSXoIbQ2LpUp3mJRqEAAALlQZrGSeEPJlMCG//+p4QBwT+Y\nAof/QCtfqzBQPPX8ylbjXCL7UtsxTODR/+UXhOAGDIvH6lA4IqkiMj4EbzuaAl2vLm3sd9x/QbHJ\nQZJXQsUmiJ/6vaRKR5jn1x+bMWnO4kiRBKwdez0IQrjFlNU9DNDVbt91xEHfnICbPpoVAoYljU+Z\nn7ndHI8x7rVRO/K7o49fNg7wfQ9Xj+UqVXJhl/6LaRpnnbfgwFT83ysGYxOblvesZp3I8IN2E3rP\nTtZ+4t955q0flfIkV+GCFFctzYqmct56+cYuR1dX5szPzCs5X+TL4PkkmF12hi5zgfTm2rToaYoK\nPHIg82zr3BVMcGjMcV9C04MUMkLbYF+cFRatXsiBitm5JMkZ9cXv30BW/yRHG89C0VJOCOBpJHKc\nPwPkx+5P6k5g3RUD0otVd/Bl3A1K5hfNlg1jQkrJEqqZzIFY657DsNDhjSUJIxDwArl3SA6zkzC4\njmpzSww20YFc3+zMZWJQC/QDWDfgW+G1wsj5IoS4vLwNtEkd0nU1WOkBwXbuMDoU1LHmY8IN01mN\naJnDeT5Wx+Y6wLoqzIfa+itXEP9/1RJdsoCE2L4iWpgB0dpeeicEdslrfvHXJE8HmqiUfPudQVZQ\n8IILZjCahX3UNRMK+1K3CyH0YsWnzQVD4xoqrniQMWvZNCnqpY2ThzBBdm7yY4LZ0Kasq1a4h7OU\nTaFIjoIFe4/JvnZWqq0+nBw7ABrJHd4YM+f0gqYb2th1lFDVhqTfLHZ9oad4hV/pWl8n4cnR/36S\nxi0qX40KhlVjgJ21OicrcPA+qKhVDU0o2xxLEvLZK55StFfOzxSLQ0e1m8NhTcO9E8GnnaG6w1Aj\n2X9rEAiTJTi4tOc8CKnMMZnm+732DTDVFjafRYQu7I9GkAqSQAIjSMhN5F+dT9CcmXc6XcTQ9DgX\ntfikxm5y+q3w20X9Om6n6DZxsl5A7dC0Df3qEja5TTlfHFsQ16s5AAACS0Ga50nhDyZTAhv//qeE\nAAZw4fyVHHIADR/7bfQHOxzZVUS27+/nF6z1VhEYC3AMI903IkqWLoPKKorCVXaYpd36wO7OBxFt\nCTz2Rabgud+CQP47Gt95wkjp0EO9ofhXgMSGshHZy2vFcU2xpZhlNHAM2Slot+eyP1jpVPEjA3vp\n1wmNJkgjIkMBn+szwAsJCjXFglXtNYjB5ZsKubn+YkCbwq8z82sPJZ6FD9tV24Sq0Lhu+IaP1ddF\n/93yJ41pQzqnGQESslkeOFTpLUdw39R6mczlEwGs/rjWJ/j1WXx8VlrARE7owfwoinndC9+C67Zp\nvEiL9nTTtL+rulRMJZuPzD+m6U4iD9JoNQZ4wq93P6xNr6iEuPFdRTeYSac6nzFY80BFZsROMRBS\nvgaTHFRff+pxCRGSCTChBaA+7Y56jf/4aNLxHkbNOi93EnF8h7+MbGyrTEwFaZIAYpH5/cHNVwHc\nLKExIOpbedGfvKA5pifbUwoQs8GA7d2xCyxl5EYM6mTmfJZFBoe9nDEzGjLSEfbGqjUUCWU5JSSK\n9zlPCrS7dE7AHQ38nhmDMOiGxIkcfD38xsQhtdaWJ1UVyIJ727DSTIegzwejSLs+uWZJDWaGSgF/\n07u3CLAvMz9TK09P0JST46xm9DH5h5KYLGFiy9mYwPN/hMmaJ1Q8KZ98o+09SjLy5qjJ5RXon/y6\nbOYlFnxt4MH0Epwb2J0vKYIRjmftmknezMQu85WT/6u2+XVcAWfB2LSChRnkVdgcLhGQkwln2NGs\nx16vAAACHEGbCEnhDyZTAhv//qeEAa2ioNeIAbNP1R2qYgMQGZ/gh1KgpPfTCzZKgHfXKpwPBPu6\n3TMfQSVjpOUCedA5de9M534JjiOnzMfWHBO+w6IUY/PO8k737m7Tp1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pejHD/R9s/XcGY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\nb/HaCwvHwISjvLOJv/SU7ae3GYt6sujBLF6UjicZdPDP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