{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Borrowed from Dan Spielman's 2018 course on Spectral graph theory #" ] }, { "cell_type": "markdown", "metadata": { "toc": true }, "source": [ "

Table of Contents

\n", "
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This is a Jupyter Notebook that contains Julia code I will run in the first lecture of Spectral Graph Theory. I find experiments to be incredibly useful when working on spectral graph theory. They help me figure out what is true, and they help me find counterexamples to my conjectures.\n", "\n", "If you want to try using this, you will need to install Jupyter (via Python), Julia and IJulia. You also need my package, called `Laplacians.jl`. It may be added in Julia via\n", "\n", "~~~\n", "Using Pkg\n", "Pkg.add(\"Laplacians\")\n", "~~~" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "ExecuteTime": { "end_time": "2018-08-29T11:45:16.515000-04:00", "start_time": "2018-08-29T15:45:16.481Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "IOPub data rate exceeded.\n", "The notebook server will temporarily stop sending output\n", "to the client in order to avoid crashing it.\n", "To change this limit, set the config variable\n", "`--NotebookApp.iopub_data_rate_limit`.\n" ] } ], "source": [ "using Laplacians\n", "using LinearAlgebra\n", "using Statistics\n", "using Plots\n", "using SparseArrays\n", "using FileIO\n", "using JLD2\n", "using Random" ] }, { "cell_type": "markdown", "metadata": { "ExecuteTime": { "end_time": "2018-08-27T17:47:31.160000-04:00", "start_time": "2018-08-27T21:47:31.158Z" } }, "source": [ "# Path Graphs" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "ExecuteTime": { "end_time": "2018-08-29T10:38:43.581000-04:00", "start_time": "2018-08-29T14:38:07.502Z" } }, "outputs": [ { "data": { "text/plain": [ "4×4 SparseMatrixCSC{Float64,Int64} with 6 stored entries:\n", " [2, 1] = 1.0\n", " [1, 2] = 1.0\n", " [3, 2] = 1.0\n", " [2, 3] = 1.0\n", " [4, 3] = 1.0\n", " [3, 4] = 1.0" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "M = path_graph(4)" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "ExecuteTime": { "end_time": "2018-08-29T10:38:44.443000-04:00", "start_time": "2018-08-29T14:38:07.510Z" } }, "outputs": [ { "data": { "text/plain": [ "4×4 Array{Float64,2}:\n", " 0.0 1.0 0.0 0.0\n", " 1.0 0.0 1.0 0.0\n", " 0.0 1.0 0.0 1.0\n", " 0.0 0.0 1.0 0.0" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Matrix(M)" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "ExecuteTime": { "end_time": "2018-08-29T10:38:44.604000-04:00", "start_time": "2018-08-29T14:38:07.513Z" } }, "outputs": [ { "data": { "text/plain": [ "4×4 Array{Float64,2}:\n", " 1.0 -1.0 0.0 0.0\n", " -1.0 2.0 -1.0 0.0\n", " 0.0 -1.0 2.0 -1.0\n", " 0.0 0.0 -1.0 1.0" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Matrix(lap(M))" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "ExecuteTime": { "end_time": "2018-08-29T10:38:44.631000-04:00", "start_time": "2018-08-29T14:38:07.516Z" }, "collapsed": true }, "outputs": [], "source": [ "n = 20;\n", "L = lap(path_graph(n));" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "ExecuteTime": { "end_time": "2018-08-29T10:38:45.832000-04:00", "start_time": "2018-08-29T14:38:07.519Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[0.0, 0.0246233, 0.097887, 0.217987, 0.381966, 0.585786, 0.824429, 1.09202, 1.38197, 1.68713, 2.0, 2.31287, 2.61803, 2.90798, 3.17557, 3.41421, 3.61803, 3.78201, 3.90211, 3.97538]\n" ] } ], "source": [ "E = eigen(Matrix(L))\n", "println(E.values)" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "ExecuteTime": { "end_time": "2018-08-29T10:38:46.624000-04:00", "start_time": "2018-08-29T14:38:07.526Z" } }, "outputs": [ { "data": { "text/plain": [ "20-element Array{Float64,1}:\n", " -0.3152529413498902 \n", " -0.30749036766932786 \n", " -0.29215636063472455 \n", " -0.26962849438992426 \n", " -0.24046147976757412 \n", " -0.20537350546744917 \n", " -0.16522855386712867 \n", " -0.12101512690846802 \n", " -0.0738219058991409 \n", " -0.024810944565717745\n", " 0.02481094456571741 \n", " 0.07382190589914044 \n", " 0.12101512690846751 \n", " 0.1652285538671284 \n", " 0.20537350546744934 \n", " 0.2404614797675739 \n", " 0.26962849438992414 \n", " 0.2921563606347252 \n", " 0.307490367669328 \n", " 0.31525294134988957 " ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "v2 = E.vectors[:,2]" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "ExecuteTime": { "end_time": "2018-08-29T10:39:12.276000-04:00", "start_time": "2018-08-29T14:38:07.532Z" } }, "outputs": [ { "data": { "image/svg+xml": [ "\n", "\n", "\n", " \n", " \n", " \n", "\n", "\n", " \n", " \n", " \n", "\n", "\n", "\n", " \n", " \n", " \n", "\n", "\n", "\n", " \n", " \n", " \n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "5\n", "\n", "\n", "10\n", "\n", "\n", "15\n", "\n", "\n", "20\n", "\n", "\n", "-0.3\n", "\n", "\n", "-0.2\n", "\n", "\n", "-0.1\n", "\n", "\n", "0.0\n", "\n", "\n", "0.1\n", "\n", "\n", "0.2\n", "\n", "\n", "0.3\n", "\n", "\n", "vertex number\n", "\n", "\n", "value in eigenvector\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "plot(v2,marker=5,legend=false)\n", "xlabel!(\"vertex number\")\n", "ylabel!(\"value in eigenvector\")" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "ExecuteTime": { "end_time": "2018-08-29T10:39:12.802000-04:00", "start_time": "2018-08-29T14:38:07.538Z" } }, "outputs": [ { "data": { "image/svg+xml": [ "\n", "\n", "\n", " \n", " \n", " \n", "\n", "\n", " \n", " \n", " \n", "\n", "\n", "\n", " \n", " \n", " \n", "\n", "\n", "\n", " \n", " \n", " \n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "5\n", "\n", "\n", "10\n", "\n", "\n", "15\n", "\n", "\n", "20\n", "\n", "\n", "-0.3\n", "\n", "\n", "-0.2\n", "\n", "\n", "-0.1\n", "\n", "\n", "0.0\n", "\n", "\n", "0.1\n", "\n", "\n", "0.2\n", "\n", "\n", "0.3\n", "\n", "\n", "Vertex Number\n", "\n", "\n", "Value in Eigenvector\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "v2\n", "\n", "\n", "\n", "\n", "\n", "v3\n", "\n", "\n", "\n", "\n", "\n", "v4\n", "\n", "\n" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Plots.plot(E.vectors[:,2],label=\"v2\",marker = 5)\n", "Plots.plot!(E.vectors[:,3],label=\"v3\",marker = 5)\n", "Plots.plot!(E.vectors[:,4],label=\"v4\",marker = 5)\n", "xlabel!(\"Vertex Number\")\n", "ylabel!(\"Value in Eigenvector\")" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": true }, "outputs": [], "source": [ "scaledE = E.vectors ./ maximum(abs.(E.vectors); dims=1);" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "1×20 Array{Float64,2}:\n", " 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 … 1.0 1.0 1.0 1.0 1.0 1.0 1.0" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "maximum(abs.(scaledE); dims=1)" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "ExecuteTime": { "end_time": "2018-08-29T10:39:12.802000-04:00", "start_time": "2018-08-29T14:38:07.538Z" } }, "outputs": [ { "data": { "image/svg+xml": [ "\n", "\n", "\n", " \n", " \n", " \n", "\n", "\n", " \n", " \n", " \n", "\n", "\n", "\n", " \n", " \n", " \n", "\n", "\n", "\n", " \n", " \n", " \n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "5\n", "\n", "\n", "10\n", "\n", "\n", "15\n", "\n", "\n", "20\n", "\n", "\n", "-1.0\n", "\n", "\n", "-0.5\n", "\n", "\n", "0.0\n", "\n", "\n", "0.5\n", "\n", "\n", "1.0\n", "\n", "\n", "Vertex Number\n", "\n", "\n", "Value in Eigenvector\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "v2\n", "\n", "\n", "\n", "\n", "\n", "v3\n", "\n", "\n", "\n", "\n", "\n", "v4\n", "\n", "\n" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Plots.plot(scaledE[:,2],label=\"v2\",marker = 5)\n", "Plots.plot!(scaledE[:,3],label=\"v3\",marker = 5)\n", "Plots.plot!(scaledE[:,4],label=\"v4\",marker = 5)\n", "xlabel!(\"Vertex Number\")\n", "ylabel!(\"Value in Eigenvector\")" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "ExecuteTime": { "end_time": "2018-08-29T10:39:12.826000-04:00", "start_time": "2018-08-29T14:38:07.542Z" } }, "outputs": [ { "data": { "image/svg+xml": [ "\n", "\n", "\n", " \n", " \n", " \n", "\n", "\n", " \n", " \n", " \n", "\n", "\n", "\n", " \n", " \n", " \n", "\n", "\n", "\n", " \n", " \n", " \n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "5\n", "\n", "\n", "10\n", "\n", "\n", "15\n", "\n", "\n", "20\n", "\n", "\n", "-1.0\n", "\n", "\n", "-0.5\n", "\n", "\n", "0.0\n", "\n", "\n", "0.5\n", "\n", "\n", "1.0\n", "\n", "\n", "Vertex Number\n", "\n", "\n", "Value in Eigenvector\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "v_n\n", "\n", "\n" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Plots.plot(scaledE[:,n],label=\"v_n\",marker=5)\n", "xlabel!(\"Vertex Number\")\n", "ylabel!(\"Value in Eigenvector\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Spectral Graph Drawing -- a grid graph" ] }, { "cell_type": "code", "execution_count": 30, "metadata": { "ExecuteTime": { "end_time": "2018-08-29T10:39:13.381000-04:00", "start_time": "2018-08-29T14:38:07.546Z" } }, "outputs": [ { "data": { "text/plain": [ "25×2 Array{Float64,2}:\n", " 0.025758 -0.37955 \n", " 0.0933262 -0.302143 \n", " 0.202654 -0.176896 \n", " 0.311981 -0.0516488 \n", " 0.37955 0.025758 \n", " -0.0516488 -0.311981 \n", " 0.0159193 -0.234575 \n", " 0.125247 -0.109328 \n", " 0.234575 0.0159193 \n", " 0.302143 0.0933262 \n", " -0.176896 -0.202654 \n", " -0.109328 -0.125247 \n", " 1.28615e-16 -3.17535e-16\n", " 0.109328 0.125247 \n", " 0.176896 0.202654 \n", " -0.302143 -0.0933262 \n", " -0.234575 -0.0159193 \n", " -0.125247 0.109328 \n", " -0.0159193 0.234575 \n", " 0.0516488 0.311981 \n", " -0.37955 -0.025758 \n", " -0.311981 0.0516488 \n", " -0.202654 0.176896 \n", " -0.0933262 0.302143 \n", " -0.025758 0.37955 " ] }, "execution_count": 30, "metadata": {}, "output_type": "execute_result" } ], "source": [ "M = grid2(5,5)\n", "L = lap(M)\n", "E = eigen(Matrix(L))\n", "V = E.vectors[:,2:3]" ] }, { "cell_type": "code", "execution_count": 31, "metadata": { "ExecuteTime": { "end_time": "2018-08-29T10:39:18.424000-04:00", "start_time": "2018-08-29T14:38:07.549Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "PyPlot.Figure(PyObject
)" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "1-element Array{PyCall.PyObject,1}:\n", " PyObject " ] }, "execution_count": 31, "metadata": {}, "output_type": "execute_result" } ], "source": [ "plot_graph(M,V[:,1],V[:,2])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Isomorphism" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "ExecuteTime": { "end_time": "2018-08-29T11:45:54.261000-04:00", "start_time": "2018-08-29T15:45:53.810Z" }, "collapsed": true }, "outputs": [], "source": [ "Random.seed!(1)\n", "p = randperm(size(M,1))\n", "M = M[p,p]\n", "E = eigen(Matrix(lap(M)))\n", "V = E.vectors[:,2:3]\n", "plot_graph(M,V[:,1],V[:,2], dots=false)" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "ExecuteTime": { "end_time": "2018-08-29T11:53:22.441000-04:00", "start_time": "2018-08-29T15:53:22.350Z" }, "collapsed": true }, "outputs": [], "source": [ "M = latin_square_graph(5);\n", "println(eigvals(Matrix(lap(M))))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# The dodecahedron" ] }, { "cell_type": "code", "execution_count": 33, "metadata": { "ExecuteTime": { "end_time": "2018-08-29T13:08:08.562000-04:00", "start_time": "2018-08-29T17:08:08.552Z" } }, "outputs": [ { "data": { "text/plain": [ "20×20 SparseMatrixCSC{Float64,Int64} with 60 stored entries:\n", " [2 , 1] = 1.0\n", " [5 , 1] = 1.0\n", " [16, 1] = 1.0\n", " [1 , 2] = 1.0\n", " [3 , 2] = 1.0\n", " [15, 2] = 1.0\n", " [2 , 3] = 1.0\n", " [4 , 3] = 1.0\n", " [13, 3] = 1.0\n", " [3 , 4] = 1.0\n", " [5 , 4] = 1.0\n", " [8 , 4] = 1.0\n", " ⋮\n", " [15, 17] = 1.0\n", " [16, 17] = 1.0\n", " [20, 17] = 1.0\n", " [6 , 18] = 1.0\n", " [16, 18] = 1.0\n", " [19, 18] = 1.0\n", " [9 , 19] = 1.0\n", " [18, 19] = 1.0\n", " [20, 19] = 1.0\n", " [12, 20] = 1.0\n", " [17, 20] = 1.0\n", " [19, 20] = 1.0" ] }, "execution_count": 33, "metadata": {}, "output_type": "execute_result" } ], "source": [ "M = readIJV(\"dodec.txt\")" ] }, { "cell_type": "code", "execution_count": 34, "metadata": { "ExecuteTime": { "end_time": "2018-08-29T13:08:10.444000-04:00", "start_time": "2018-08-29T17:08:09.547Z" } }, "outputs": [ { "data": { "text/plain": [ "1-element Array{PyCall.PyObject,1}:\n", " PyObject " ] }, "execution_count": 34, "metadata": {}, "output_type": "execute_result" } ], "source": [ "spectral_drawing(M)" ] }, { "cell_type": "code", "execution_count": 35, "metadata": { "ExecuteTime": { "end_time": "2018-08-29T13:08:11.244000-04:00", "start_time": "2018-08-29T17:08:11.087Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[-8.88178e-16, 0.763932, 0.763932, 0.763932, 2.0, 2.0, 2.0, 2.0, 2.0, 3.0, 3.0, 3.0, 3.0, 5.0, 5.0, 5.0, 5.0, 5.23607, 5.23607, 5.23607]\n" ] } ], "source": [ "E = eigen(Matrix(lap(M)))\n", "println(E.values)" ] }, { "cell_type": "code", "execution_count": 36, "metadata": { "ExecuteTime": { "end_time": "2018-08-29T13:08:12.651000-04:00", "start_time": "2018-08-29T17:08:12.436Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "PyPlot.Figure(PyObject
)" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "1-element Array{PyCall.PyObject,1}:\n", " PyObject " ] }, "execution_count": 36, "metadata": {}, "output_type": "execute_result" } ], "source": [ "using PyPlot: pygui\n", "x = E.vectors[:,2]\n", "y = E.vectors[:,3]\n", "z = E.vectors[:,4]\n", "pygui(false)\n", "plot_graph(M, x, y, z; setaxis=false)" ] }, { "cell_type": "code", "execution_count": 37, "metadata": { "ExecuteTime": { "end_time": "2018-08-29T10:39:33.023000-04:00", "start_time": "2018-08-29T14:38:07.636Z" } }, "outputs": [ { "data": { "text/plain": [ "1-element Array{PyCall.PyObject,1}:\n", " PyObject " ] }, "execution_count": 37, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pygui(true)\n", "plot_graph(M, x, y, z; setaxis=false)" ] }, { "cell_type": "code", "execution_count": 38, "metadata": { "ExecuteTime": { "end_time": "2018-08-29T13:08:43.284000-04:00", "start_time": "2018-08-29T17:08:42.990Z" } }, "outputs": [ { "data": { "image/png": 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ljBqGiQS4+zXDBAlbthD16UN05gw6Nn/2GdGgQYEeVXiwYwcqvsqUgfFSpYrzCqaoKKIKFeC9iYnx6zC95sIFos6diXbvhrrz0qVEHTsGelQM41vYI8MwAUYIoo8+IrrnHhgxNWsSbd3KRoyZSI/MhQvIJcmpDFsI/A4bNvhnbGZSpgzRX38RdehAlJoK4bx58wI9KobxLWzIMEwASUlBk8fRo1Fm3asXeunUrx/okYUXRYsSFSmC/+/b59rfdOuGEvexYyFAuHMnlJSDncKFIZzXrx/OqQEDUKLNMOEKh5YYJkDs3w/D5cgRlNC++y4MGu6V5BsaN4b+Tr58nhskMTFEtWsTNWxI1KAB/m3YEJ6QYPvdNA1ieR98gMcTJqDqjQUUmXCDDRmGCQBz5hANH06Uno58jIUL0XqAMR8hUMreqZNr74+KIipfHuXu+/ejw7jckpMd/03JkvbGze23Q4k3kAgB4bz//Q+PBwxAs9FAj4thzIQNGYbxIxkZRGPGEH35JR536oTmfyVKBHZc4YjFQrR4MbwQu3YZX3vvPQjK2c5+0quyeDHRww8bXxOC6Px5o2GzZw/R0aOOWwTExcGYsTVwSpUy7zu6yuzZaDJqseCcW7IEycAMEw6wIcMwfuLECYSSdu3CDfPll4mmTAm9yphg59Yt5LS89x5RYiKei49Hvkh2NlH37kQ//YSKniFDiK5fV39bsSJCMbZGTE6kpxMdOGBv4Ny44fj9Zcooo0YaOLfd5nuhw9Wr0eYiLQ0VXKtWBcaoYhizYUMmgFitRH//TZSURFS2LFHr1nxTC1dWrCB67DHc3EqUQCUJl8Way5UrRB9/jO3qVTxXogTyjp5+mmjbNmj0NGgAQ4MI4b0vv4S8/4QJ5l2DsvLJ1rg5ftzeC0SEUE/duvbeG7O7mm/bhkqmK1egTfTbb6xRxIQ+bMgEiKVLEWLQl4FWqEA0c6Z7q0EmuLFYiF54AeENIuTBLFiAlT9jDidPoirnm2/gHSFCufWzzxINHgxNHiIkVdeujZDKzZvwirVsSbR5M8J7/fv7fqy3btnn3ezd67xHUvny9sZNrVreGVtHj0INODERHplff0UiNMOEKmzIBACpKupOfJ4JPZKSiPr2hdeNCGW806ZxoqVZ7NoFA3HhQpWj0qQJElsfftj+Zp+RoYyay5eJihVDqbI0LurW9e/4JZoGo2LvXqOBY9sXSpIvH1G9evYGTkKC659pK5y3bBnRvfea8nUYxu+wIeNnrNbwVRVlFOvWET3yCBr4FSqEnI2ePQM9qtBHCKK1a2HArFmjnr/vPqLnnkO/pJzKoCtUQBuCrVthyNSsSZQ3L8TjYmN9P353uHnT3nuzbx8ML0dUqmSfe1O9uvN55OZNooceQjf1uDii77/HOcswoQYbMn5m/XpMtrnx2GNEzZsTlS6N5EC5xcf7fIiMF2gavC5TpuD/9evDw1arVqBHFto4qkCKiYHo28SJuGm7QuvWRP/8Q/TjjzBcevVCWCVU+hJpGnop2XpvTp1y/P74eJyDeuOmQQN4ooiIMjMx1yxciMfvv080bpx/vgvDmEWQrUHCn6Qk1943ezY2WwoVsjdubB+XKYPYN4cw/EtyMm4Kq1bh8eDBRJ98wsanJ8hE+MREGC4rVhgrkIYOJRo/nqhyZff2W60aDJkTJ1Q+TaNGZo7ct0RHw4tUs6bRw3f9OowbvYGzfz8qlLZuxaanalXlvendG+/7+Wcc06QkorffZuE8JnRgQ8bPlC3r2vu6dcOK8cIFtaWnIykwJQXVD7lRrFjuBk/p0qjs4DCWd2zfjtX9qVPIYfjkE6Inngj0qEKTpUuJRo2CZoueQoXgfXn6ac+reapWxb8nTyLsR+S6NyeYSUhAr6577lHPWa1Ex47Ze2/OnsX3P3kSZei2vPMOtr/+greK9WaYYIdDS35G5sicO+e4DFPP4cPQlyDCe1NSMPnqjRvbx/I5i8X1MUVHw4PjzODRP05ICD4p9kAiBNHnnyORNysLOQmLF4fWKj+Y+PxzoqeecvxaVJT3ifDffw9P2b33onrn9GmEe9u08XyfocbVq/bemwMHEGZyRI0a9rk3lSvzPMAED2zIBABZtURkNGaiouyNm+efh3Ba3ryu71/TiK5dc83guXw5d4NKT548OXt39I8LFHB9v6FIaip0SGR34R49kNTrTvUIA3btQm7RggXO32NGIvzff8NrUayYajeQnIymkpGMxYLy9D178Dvs3Zvz+4sUMebcNGyISioOozKBgA2ZAOFIR6ZiRUwi8+YhXi2JikJlQdu25o/DYoExk5OxI/+vV0B1hYIFXc/nccdQCwYOHUKOwqFDuKlOm4b8Al6luo6zCqTcWLfO82vh7Fmjhk+lSs4TZSOZrVshnCeFBUeOhEd4zx6igwehkGyLzN+x9d5UqMDXBeNb2JAJIDkp+65YASl1PYMGoUNyoPryZGTAsMnN4LlwAcmD7lC0qGv5PCVLBj6fZ948oiefRBls2bKo+GjVKrBjCiUsFvT6mT6daOdOPBcTQ9SsGdGmTbn//csvY/Pk5qhp0JLJysLjbt1wrTH26IXzSpeGcN4dd+DYHT6sxPxkeOrSJcf7KVbMqHfToAE0e/Ll8+vXYcIYNmSCmHPniB58UE32REgA/vprVMcE6ypHCIRdXM3ncbS6c0Z0NIwZV/J5ihY19xhlZsLr8umneNy+PYya0qXN+4xwJi1N9UA6eRLPyQqkceNgEMouzblRpQqUePv3d1/I7rbbcJMmQpn8a6+59/eRRFIShPP27EGy9bJlRB06OH7vhQtGteI9e+CxtFrt3xsTg9/B1ntTtmzwzmtM8MKGTJBjtaKC4Pnnjc+3a4fEyFDXJxHC9XyeS5fcy+eJi3M9nye3yozERJSpbt+Ox1OmEL3ySuC9Q6HA1auo4vroI/T4IYJXcdQohCyKFSN66y20csiN+HgYs6mp6rmGDYkGDICYW4UKue+jc2c0UCRC8jALFebMjRvI/1q/HtfU7NnQ73GFzEyEomwNHBmysqVECWXcSAOnTh2WkmByhg2ZEGHrVtxIz5xRz8XGEr34IlaxoZZj4gkWC26Ezgwe/eNr19zbd3y8c2Nnxw40FiRCAvOiRbgZMjmTmKh6IMlQY9WqqgdSfDzyLgYNwkqfCI00HeXL6Nt3dO5MtHIlvGG//KI8elFRSOQdMADJ9M4SeJ98kuirr/D/Y8dQlcPkTGYm0aOP4twnQofwMWM825cQKK237Td15IhqNaEnNpbo9tvtDRz2hDISNmRCiJs3oaExd67x+dq1ib74wqghEelkZrqez+NM8t0ZCQmu5/MEm+y9P9i1C17EhQtVWKFxY7QQ6NlTHZMjRyCRf+gQVtwff4wwU9mySuNFUrEibp62pdfJyTBu5s2D7okkLg6drgcMQGdr2WOJiOjxx4m++w7/t1pZ+M1VNA0yAx99hMf/+x88aWaFgtLTUQZu671xVmRQurS9cVO7Nn57JrJgQyYEmTMHBo3evU4EAbbp0z0XC4tUHOXz7N2rvDCeEhWl8nlyC28VKxbauQFCoLJu+nSi339Xz3fqBAOmfXvj91uxAiv8mzeJypVD8m/z5qpDdVwc0fLluInZJsI748wZovnzYejry4cLFYIBNGAAxtGnD6oG5bgZ1xECqr+TJ+PxY48hZ89XxoMQ+F1tvTfHjjn+7fLkQSjKNvcmUAUSjH9gQyZEOX4ciY7//mt8vkQJuPMHDgztG2Mg2bABOQBJScid+fprdLEWAjdWV/N5HLnJnREXB8PG1XyeYPltnVUg9ekDA8ZWGFDTiF59lWjqVDxu1QrhijJl8Pi99xB66tjRaBC5y/798NLMm2csry5TBr+RhGc/z/juO3jPrFai++/Hb+hPBWDZsdzWwElJcfz+cuXsvTe1akWmxzQcYUMmhMnKQo7M9On2r3XoQPTZZ9B1YFxDCJS3P/88Jui6dRG2qF3b/X1Zra7n80hhNleJj3dNn6d0ad+VuKal4Wb23nvoW0SE8I2sQJKtAPRcvw4vjNRIeuYZ/L0+kbN9e+jEzJxJNHq09+PUNKLNm+GlWbjQPsl04kSiYcP4OvGEVauQt5eeTnTXXXhcsmTgxiME8rJsjZv//nP8/nz5cI3bGjiRLo4YirAhEwb88QduEPqVJhESgKdMwcqYs/5z5vp1JKAuX47HAwYg78gf6sSZmfDguJLPYxtOzI0iRVwzeEqVcm11mlMF0tNPO3fhHziAfJhjx3BefvEFknz13LiBv7dY4HGsXt2975obWVnw8nTrZv/aXXfhN+/bV3mHmNzRC+fVrEn022+OjdhAkpJCtG+f0cDZt895blzFivbGTY0aXKEYzLAhEyZcvowkRtl5Wc/tt+PG0bq1/8cVCuzciZXliRMw+D78EJUtwRK+0XPrlmsGz8WLznvnOCIqCkaEM2MnIwNejXXr1N9UrUo0YQLOu5yk6RcvhpF46xaUdJcuJWrSxP59ixYhJFW7NhKAfcGlS/bVLjExKik5OhrezAEDYHgVLuybcYQTR45AOO/UKZwrv/4a/L3GNA3Xu9642bPHucpzfDxaMOiNmwYNsFBgAg8bMmGEEKj8mDjR8U1s6FBI6Rcr5v+xBSNCIP9l1CgcrypVcNN1dJMNNYSAh8OVfJ6LF93L55E0bEhUvrxzj0/Jkjjfpk3D+9u3J/rxR+fhh0GDoFEyYQJCfGZgq56dkWEsnZ85E/lQCxcin2bzZvVavnzw3gwYgL9hr6Zzzp9Hrsy+fUiu/ukn/N6hxo0b9t3C9+9H+MwRVarYe2+qVeNKOH/DhkwYsncvJmdHq9qSJYlmzECicDB6HPxFWhq6LM+ejcddu+L/kRgft1oRGtAbOPPmIUxgJl27QrDOkcenZEl4eC5f9q6Xkh5H/cyKFMHNSjJmDMq6JSdO4LvPnQsZfknRotCmGTAAnk2+Udlz/TqE8/76C0bfnDnwsIU6VitCnbbeG/15padgQaL69Y0GTr16MPAY38CGTJiSloakS30Jcd68ylNz771IBo5EMbAjR3BT2r8fN6Q334QXK9JvThYLbv7Tp0MEkAjHpG9fHB/ZZye3fJ6///ZuHC1aIE8hp3ye3Mp9ZYd5Z7Ob7H794IMqL0qPEES7d8OgmT8fHgdJhQpQER4wACvwSF4Q2JKRgXy9xYtxXGbOhMczHElOtvfeHDjgPKRbvbq996ZKFT5/zIANmTBnyRKElK5fhyFTrRpWnZmZePzii7hJRYrbfOFCoiFDkDRbujTRggVEbdoEelSBxZMKJGfMm4e/S0+H4fH55zA8cgtxuZPPQ6TyeRzl9JQogZwcW1E9PQUL4hyoVw/hkJywWlGSP3cubtB6j07duqrnU5Uq7n2HcMVqhafrk0/weNIkLBYi4YZtsaCPl633JinJ8fsLFzY21JTem5xyzhh72JCJAE6fhq6MXCk3b44V59ateFynDpKBw7mDc1YWDLYPP8TjNm2w0i5bNrDjCiRXr6IB5ocfqgqk4sVVDyR3RMQsFlTHzZiBx/fdB6PGlXwsIbBaPXkSoo6dOuWcz+OoCaGnFCiAqhZXb7IZGUhmnTsXZeR6A+zuu+Gl6d2bBdiEMPbPGjQIbSEiVXX38mV7783Bg44b5kZFoQJMb9w0bAhPYCQYg57AhkyEYLUSvfEGxMg0DZ6Zbt1ws7l8Ge8ZNgyJmeGWJ3L6NMIjW7bg8aRJ6HgcqWJYiYkwOL7+2tgDyZUKJEdcuoTju349Hk+eDME7V8tVz51Tk/TFizlrkWiaMZ/HUbXW4cPO8xecjd8T/ZPr1xHCmjcPqsZyJo2NhSE3YABCV/4o4Q9Wvv0WFYBWK1pGLFwY2cdDT1YWwty23ptLlxy/v2hRe+9NnTrG9huuYpsE74pydlAjmIjin3+EqFRJCCIhYmOFeO45IZ54Ao+JhChVSoh584TQtECP1BxWrxaieHF8t4QEIVasCPSIAsfu3UL07y9ETIz6ve+4Q4gffxQiO9uzff77rxAVK2JfBQsKsWSJ+/v44gv8ffPmno3BlnXr1PdzZeveXYiDB70758+dE+K994Ro0sS47wIFhBgwQIhffhEiK8uc7xdqrFwpRP78OB7dNxzkAAAgAElEQVRNmwpx+XKgRxTcJCUJ8dtvQkyfjnOnXj3M1Y7O3ZgYIW6/XYh+/YR46y2cZ2fP5nwuL1kiRIUKxv1UqODZtRsssCETgVy7JkSfPuok7tABN7PatdVznToJcfx4oEfqORaLEC+9JERUFL5P48ZCnDgR6FH5H00TYu1aIe67zzhxdewoxJo13t28v/1WiLx5sb9atYQ4cMCz/Tz4IPbx+uuej0WPxYKJWf72jrY8eeyfq1ULhv2mTUJYrZ5//qFDQrz4ohDVqxv3X7KkECNHYv/hslBwlU2bhChWTB3nkycDPaLQIiNDiJ07hfjuOyHGjROifXu1QHO0FS+O94wbh7/ZtQv7WLLE8XURFYUtVI0ZNmQiFE0T4ptvhIiPx4lcogRO4tdeUzenfPmEePNNITIzAz1a97h0SYh771UX6YgRQqSnB3pU/sViEWLBAqOHIDoaK7edO73bd2amEE8/rfbbrZsQ1697tq/0dHUO7trl3bj0OJuw5bZkCYx1+Tguzvh66dJCDBsmxKpVnp87mibEli1CjBoFT6d+/1WrCvHCC/AERQoHDypvcJky8BAynqNp8L6sWgVvTL9+8M5ERzv33jjz7EhjpmJFzB2hBhsyEc7hw0I0aqRO5lGjhNi7F14a+Vy9ekJs3BjokbrGxo1ClC+PccfHCzFnTqBH5F/S0oT49FMhqlVTv1/+/EI884w5Hqnz54W4+26171df9c578euv2E/58uZ7KaZOdTxhv/MOXn/lFTweOlSIGzfglXzkESEKFza+v2BBIXr3FmLuXHgzPSE7G2HORx/F/vT7v+MOjOnsWfO+e7By9qwQ9evjexcujDAgYy5paQj5fvONEKNHC9GmDcLqroZaQ/E3YUOGERkZcEHKE7lBA4QJ5syBp0Y+P3y4EMnJgR6tYzRNiPffVyuO224TYv/+QI/Kf1y5ght3yZJG9/Irr5iXk7BpkxBly6qb0MqV3u9z5Ejs78knvd+XLTNnYt8tWgjx0UfKKyU9LN9/j+fatzf+XWYmchSeekqIcuWMk3xsLMJyn3wixJkzno3r1i0YTd26GVfIUVFCtGsnxFdfeW4whQLXrglxzz0qxLdwYaBHFP6cOmX0Uue0zZsX6NG6DxsyzP/z66/KBZ4/vxCff44bpD4ZuHRpIebPD64Y//XrQjz8sBpjv35C3LwZ6FH5h8REIcaMUeEZIiGqVMGN+9Ytcz5D03AuyPBLnTpCHDlizn6rVME+ly/3fn+2yPN2yhQYXURC1K2rXv/7bxXmcYbVKsTWrUI8/zzc9raT/p13Irdn/37ProkrV3BsW7c27jdPHiEeekiIxYvDMyyanq6u2agonK+MuVy/LsTXXwvRtq3r3hj2yDBhQVKSMXfg4YeFuHpViPXrjcnA998fHMmzu3cLUaOGynP4+OPgMrJ8xe7dqGiwrUCaP9/zCiRHpKcLMWSI+oyePc0zEvfvxz7z5hUiNdWcfeqR+UGLFsHYIMIxk5w9q3IHXD1mhw8LMW2aEC1b2ufg1KghxLPPojLQkzyDxETkOsjQi9wKFxbi8ceF+OOP0MxfcIbFAq+X/J6TJ0fGtetLsrJQmdmnD3Ic3TFgOEeGCSusViHefVetwCtUgCGTkYHwhaz4yJ9fiLffDlxZ6bffqou1UiWsnMMZZxVI994rxO+/m38TOHMG5bIyJPPWW+Z+xrRpyig2m+xslbR+7BhyXIhQ0iqxWtV7PDHKk5KE+PJLIR54wL4KqlQp5N78/LNnHpW9e4X43/9UabvcypZFGHj79vC46WuaMjKJYLCZaYhHApqGue+ZZ4ypANJ7+uSTqmJMJgLbGuFctcSELdu3C1GzproAXnwRk8yRI4jly4ugfn3kT/iLtDRjuKtzZ7jowxWLBXkEd96pvrOsQNqxwzefuX69CjMWLYqcEbOR4ZSPPzZ/3wcOYN8FC8JgqVULj22/x2234fm1a737vJs38Rv17y9EkSLGm0SBAkL06oWcM3dzzKxWITZsQH6avBnJ7bbbkGx97Jh3Yw8Gvv5a3WS7dPGNhy7cOHECC0t5buvD/2PHYm747Td13pQqhevakY5MxYqha8QIwYYMkwspKVglyRO+ZUtoQGgakiWllkFUFNzEvk5SPHZMiIYN1c389de9q5oJZmQFkl6PJH9+JMj6KqynaUiSlSGrhg2F+O8/cz/DYkFOjFwV+kKvaN487LtFC9wU5WdduGB8X+fOeP6rr8z77MxMeMhGjlQVdHKLjUVF4EcfCXH6tPv7XbFCiL59lcCc3Jo2xe9m+/1CiRUrlIe1WTMWznNEcjJyqvSVg3Je6N8feY7Z2biO335bGYdNmxqT0y0W5MLMm4d/QzGcpIcNGcYl5s9XZalFikCjRAhMNoMHqwuqTBm85gu395IlagylSiFnIBy5ehV6PrYVSC+/DI0cX3HrlhADB6rP7N/fvIRhib9URZ97DvseMUKIzZvVStUWqYczebK5ny/RNJTCvvACEo1t8xKaNMFvvW+fe9fMzZtCzJ6NMKNeNyQmBs99/31oJrxv3AgPoPQ4JSYGekSBJyNDiKVLkfytD2FGRSGsbPtbp6TAAyjfN3RoeCaM62FDhnGZEyewwpUXyBNPKBfwunVGF+cDD5in3pmVJcT48WrfrVqFp+aGrEAqUEB9V1mB5GtX+8mTSBaWN8P33zffGPWnqqjMI/rsM6xgiZDEbsu77+K1fv3M++ycOHoUmjF3321/LKpXF2LCBFRTubNCvnBBiA8/hBfDdpXety+8X6EkannwoMoNKltWiD17Aj0i/6NpMOpGjFCGndwaNHCuO3T0qDKY4+LQ/iMSYEOGcYvsbJSzykm4Vi2Vp5GRAd0SfTLw9OneJQOfPWt0oz77bPj1rNmzB54QfQVSo0Zw+/oj8XHNGhUiLFFCiD//NP8zZNsAWyNGb8yYWTFRpgz2u2mTqoyZONH+fUuWqFCGv7lwAbkhXbuqpGO5lSyJhcKKFQgxusqxY8ibkLk/citWDHk2f/0VGqHYs2chxCk9wOvXB3pE/uHoUbRW0QtaEkHPaOLEnI26lStVflbZsv7NWww0bMgwHrF+vboxxcWhYZ6cIA8dgpqkfgWxZYv7n7FmjQqvFC4M92q4oGkwGO6/3zhh+aoCydkYpk9XoYkmTSCc5QtWrXJuxOg3MzQsLl5UxlFKCvK6iKDMa8vOncpwCCQpKdCMGTjQXoU1Ph4yCLNnI+zoCpqGZP3x45WIodwqVUJF1N69vv1O3pKcrBLC8+RBGX04cvkyEt5tPWoFCwoxaBDmwZwMfKsVSd/y7+6+GwrckQQbMozHXL2KuK28gO6/XyUbapoQs2apjPmoKCQ/utKTx2rFqlJ6fRo1Cu0GlnosFkzId92ljpuvK5AckZpqbBw6eLB7K39XOHcOoZ377zd6m3LazFAV/f137KtmTZxLsiWAI6Xn69fVZ6ekeP/ZZpCVhfyvZ56x92LFxECJ+MMPXTc6LRbs7/HH7dsv1KuHsvpgzUVJS1NzTFQUFJXDgfR0VLnZqjvHxCABfe5c18LJ16+rpqtEmGNDKYxoFmzIMF6habhZyWqDUqXQU0Zy6RJWFfJCK1sWN3JnHocrV4xeiqFDzb/BBoK0NBwnRxVIZlcF5caxY8ptHxuLyigzPECaBmPhjTeMhpo7mxkemXfewb569YIBTITQjbMwncxBCEYPhabBwH3xRXuhPCLkNb36KkIOrvyG6enw/NgmjhIh9+yzz4JPysBiQa6IHOcLL4Smho7VCk/20KH2JfpNmggxY4Z7VWcHD6q8xLx5sXCMVNiQYUxh/37jRDt+PHJmJGvXKk0aImhF2K4Ct2xRSX7584fHhemoAqlYMd9XIDnjl19U6KJMGSSWeoPFgryL8eONRprcmjVDB/V9++BdyKkjNZE5ysyy8uq113DTJhKicWPn75cKwL5ok2A2x48jjNu6tf2xrFoVYnl//eVabtW1a8jRadfOuK/YWOTtzJ9vftWap2iasQnoE0+EjnDewYOoiqtc2fh7VayI1hcHDri/zyVLlKexYkVUxkUybMgwppGWBne4frV4+LB6PT0diWxSMTg+HlUjWVlwlcvna9YM/UqFU6cgSqWvQKpcGd8zEGJfVitu7PKG1aIFQj+ecOuWEMuWIRxlqySaJw8q1r74wj5OL6uWHKmK6h/36OGdV0B6m1asgCeDCGEVZ8hS1Q8+8PwzA8HFi+hw3K2bvRx9iRL4fX76yTVj5OxZXIuyck1uBQuiY7fUJwk0X36pcrq6dg0eQ8uWCxdwPkkjWW6FC6Plx7p1niVdWywwiuT+2rbFeRDpsCHDmM7y5aoKJj4erQT0q+yDB1X3W9utVy8hbtwI3Ni9xVEFUsOG/qtAcsSNGzAO5HiGDzd6y1zh4kWs3h3dNIsWxXdetCh37RJnqqKLFqHkWxqz5ct7FmbKyFA5B6dOqfyBnIwUqTkzerT7nxcspKYiGf6xx+zLdfPnx+//3XeuGYgHD6Iy0bZyplQpIUaNgi5PIEM7y5erc7BFi+AJhd26heu8c2fj9R8bi+tmwQLvwuTJycaw+7hxwWFcBgNsyDA+4exZJCXKi65vX6Pqr9WKC9HWkAlFI0bTcNO1rUDq0AES4YGc9A8dUs0+8+RxT8H2yBFUNTnSPKlSBZo3f/7pfjl8TqqiO3eq0uGoKORDuLN/WYWUkIDjLt35ORlFn32G93Tr5t73CFaysvC7jB6NCiX97xYTg1X8Bx/krvOkaSjhfeYZY2iUCGHEF1/E+RUI/vlHGWy1a/uu2i43ZCL1oEEq1KMPq370kTkh5D17lGGZP7/jCrxIhg0ZxmdYLKiIkCvkypUh8iQESkltZdaJoJewZEloJPM5q0Dq2xelr4Hmp5+EKFRIeThyK4G3WrHanjTJ2Olcbo0bI7F0927f/j6pqcaO282bu96SYdYs/E2bNjCc5T5y6nG0ejXeU7euGaMPLjQNxt1LL0EGwfY3bdQI2k+7duX8m2ZlIb9q4EBjuFSeF++953mo0lMOHFDevXLl/JusvXcvPHm2LSiqVoWBd+SIeZ81fz4823L/u3ebt+9wgQ0Zxuds3WrvppZbp05YsaxZI0SNGur5bt0Ct8rKDUcVSPnyQe7e3xVIjrBaVW4IEcJ4zqoh0tPRoXnYMCUip3eJ33svVpWB+C0WLFDVHYULu1aaPXYs3j9mDJJeieCVyImjR1UYNBQMaG84cQLVMW3aGFsbyIXGmDHwXuUUskhNxW/RpYuxdDgqCl7Yb75xTWbBDM6cUUq2RYrgN/cV584hj0j2etOHVocPh5fIzPMnOxtKz/q50lUdoUiDDRnGL9y4oYTJ5DZkiDGskJaG2LzMkyhQAHkTwRIHvnoVTSplV2giVCC99FJgKpAcce0akm3l+MaMsQ/NXL0Kj1jPnvar60KF4FGaN8/3DUBdITHReN4MHpyz3ovsyv7tt0isdiVklJHhvKlkOHP5MjxY3bvb5z0VK4ZwybJlOSfUXr6M8n3bJoZ580LEb8kS3/f5SU5G6bj8XDNbXaSk4Frp2NFo+MXFoYR96VL3881c4fJlY2h+0qTQb+zoS9iQYfzC8uX2iqVFizpW6z1wQE1MRKikCGR5YbBVIDlj3z7lJcqXT4g5c9RrciXetq29OF358pDxX73aN5Oyt2Rnw1iUN5KaNR2H7jRNCTDu2IESXSIYx7khy/43bzZ//KFAaiqMlkGD1DGUW/78MHZmzcq5I/XJkyi1t22OWaQIfou1a313M05LUwntUVEwrjwlOxvXwoABKqQjt7vvRu8uX3pGduxQuU0FCoSvorGZsCHD+JTsbMihy4mgRQu4rvV5JcOH26/6rFYkpkrjJzoayYv+7Oi7dy9KT/Xu84YNkWgXLF4iyYIFatKtXBmT4fbtCDE5yo2oXx83+H//DZ1wyoYNyuCIi4Pwnb6E9fRpvBYTAy+ALH115UYgq+g4iRLn9rp1MN6rVDGeN9HROFbvv+88b0nTkMfx3HP2FWrlyiFcsmOH+eedxYK5RH7WlCmuf4bMJRo3zj7EWqMGcsP8ETb+/nvlHatZ07EaNWMPGzKMzzh/3lhmPXasks/OzFRlr0RC1KnjWDvmwgWsjPTeg2XLfDdmWYHUubNxMguGCiRHZGcbjyMRQkO2N5DoaORFvP9+cOTxeEpyMkJi+ryBpCS8tnIlnqtbF8dFNmI8ejT3/Q4ejPe+/rpvxx9qSKPklVeQGGxrEDdoAG/Zzp2Orw2rFXkrTz5pXxZeuza0jcxsP6JpGKv8jKFDc150nD6NggRbL1Lx4lDd3rLFP9d8VhZK2+Xnd+0aHKHdUIENGcYnrFsnROnSKu/C2ap4zRq1AsqbF+EaRxPH778bk2u7d8ckZBbOKpD69AmOCiRHXLkiRNOm9jcXucXHI47/3Xc5hwRCDU2D4J6seitZEhU1r7+Ox/37IzwpXfOuCI/JpntDhvh+/KHMyZMo3W7b1j5ZuFIleE3//NOx8ZCRgUq6Pn3sc3KaN0dSuVnibl98ocb34INGj++NG0hItlU0zptXiN69IaToz35FFy6o5phEUP0OhQ7lwQQbMoypWK2Ik8tJpH793EsRL11CBYS8kLt1c3zjTUuDqqUM9RQsiEnVm7h7Whpi3vqKKVmBFKyNKs+cwUrTkfFSqhReW7kyPHpU5cSBA47DZtOmIVlZhjJdYc4cvL9dO9+OOZy4cgWhkIcespdSKFoUYdklSxznkd24AQO7UyejQRQTAz2mOXO8b+K5bJkymJo2RdJu3772RlSbNhB7DIQHZPNmhNuIUJkXCm0yghE2ZBjTuHrVaJAMGuS6hLimwRsjwwFly0JoyhH79xsrWZo0cd9rkpwc/BVIEk1Dvs7UqfaS53J77jmIl0XaSi49HV4A/bGYOVPlZY0Y4dp+/vkH769SxbfjDVdu3cJN+PHHlaq3fmHQrRu8II6uraQkLEhsG43mz4+u8CtXui+6KASumxkzHF8vtWujuWkgu35/+aVq3Hn77cZ2Lox7sCHDmMK//6rEwLx5scLxJLa8Zw8uaiK4fSdNcjyJWa1wH+uTgceOzX0Vd+oUEvr0FUiVKuHm5+0K0Ez0CZdVqzoPH0VqlY0tCxY4Pj6ffeba3587p84jT26ajCI7G3kx48bZn7vR0QijvPeeY4/n0aPIcdE3mJU5KyNGoMlpbsb6yZPIvZEK0bbbd98FNtctIwM5Q3I8Dz/s3yKGcIQNGcYrNA2ljnJlUb06Ev+84dYt44XetKnzME9SkhCPPKLeW7GiY/dsThVIwXLjSklBt+ZHH7UvgbXdpkxhXQk9W7Y4Pk6//OLa31utKuQQysnQwYbem9i4sf3vU68ezuXt243GhaZhcTR2rH0VUeXKWODs26fen5yMhY0+10R6dR55BN6PWrXwXEICKuACwdmzyAeSC7U33wy+AoJQhA0ZxmNSUowVRT16mBtnXrJEeVwKFTLqotiyerVx9ffQQ8glWb/eKBBHBKGp1auDYwJJSsIk26WLCqvpQ12PPYZJW1Z8FCrk26qtUOXzz3F87r3XqIZavDjCRq4g2zKsWePbsUYyiYkIIbdvb69nVLEi+jr98YdxcWGxINl/8GDVciOnLSoKVYbffWf0dFy9qoT78uZ1rGHlS/7+WxVAJCSgozhjDmzIMB5x8CBKpmWC3rvv+sYwOHXKuMoaONB5Y8lbt3DTt21wKF3affoEVlhPcuiQEG+/jURU27FWqwaX/Pr1cNF//bXydt12G447Y89TT+EYTZyIm57tb//KK7lr/0iD98sv/TPmSEevMG0rPJeQgGt98WJjyPfWLSHGj3duxNSokXPPpbQ01RE9Otr10KM3aJoQH3+svMH16wdvIUGowoYM4zbz5qkck7Jlfe+mtVhQHiurG6pVQ/8mW9LT4V52NMEFUh3TYkGzzIkTlXtbv915J2L6+/YpYzAzEzkB8j3du4dmZ3B/IZO/f/gBQnlEQtx3Hzxa8hi2apVzz6iRI/G+SZP8N24GpKUhqXfIEPtO23nzwltWvrxrHpm4OBgrCxY4LjbIzkZvMfn+l17ynXc2LQ1FD/Kz+vULLjXwcIENGcZlMjJQlqwP0fizN80//yjp7thYCFlZrYiPv/GGsQIpIcE4IUZHYyXnr4TetDToUQwZYhyXnGjvuw+5RWfP2v/tuXPqxhwVhfyCSKtGcgerFaX4RDAGBw7E/197Da//8IO6ASYkODdq33sP7+nb139jZ+yxWBCGkSKFzrZPP1V5YqdPCzF9ur1oX8GCMGZ/+83okdM06LXI9z35pPlq3YmJqsowOhrnVzCEs8MRNmQYl0hMNJZHBirZ9No1hIicTW6VKqGUUxos58/jxqR/feVK34xNNuHr0cPeVV6kCJIOf/wx587A//yjkhuLFBFi1SrfjDWcOH5crdyzsuC6J4IhqX+PXjxw2DD71frSpXitaVP/jp9RpKfD0OzeXTWPzWmrW1eIF14wtto4cAB6U7btFUqXRqn+1q3qvZ99pjy93bubp720dq0QJUpgvyVK4DHjO9iQYXJl1SqVbFqsWOBvrvv2OZ7UfvjBeQXSL78YJ7aePR17Q9zl+HGstO65x17pVCYvrlmTu1KorP6Sk3e9ekIcO+b9+CKBJUtwzBo3htdQ5iLYhpGysoR4/nmVl3T77ZDfl+zapW48jP+wWhGeHjYMxrv+GrrjDrTVkG0oTp9Gvsm99xorEIkQenr6aeRIZWbimtq4Ec9Jo0KfS/PSSxDrXLpUJdq3bOldQ0hNw3wg54LGjQOrVRMpsCHDOMViwWpHXvx33RW4i1LTHFcg6bdRo7Cic8atWxCOk9UShQpBFt0dz5LVKsS2bTgu9erZj6FhQ0yQ7jTFS0+HkJjcR+/ewaVpE+y89BKO2+OPK2MkIcH58V+7FrldREiknjkT771+Xf0GrOvhew4fxnVk6zmpWBF5Srk1TExOxuKlVy+jLpT0ZvbvL8TChfgts7KwAOvf395beuedqHKUj+vU8az9SWoqcmDkfh57LPzVtYMFNmQYh1y4gBwYeVE+8wxWu/7GYsGKWx8WiI7GzX7bNoxp3Dj1WoMGcC3nxJ49QjRrZjTQdu1y/v6MDJRKjhih5MTlFhMDWfsPPoAQl7ucPo2JVH6v6dM5ju4usgrlgw8Q2iOC7HxOXL4MtVn5O3bpAtVZqd/jqIEp4z0XL8JwlOe83AoVEuKJJ9CnyZN8sPR0IX7+Ge05bHPS8uTBAujLL+HZSUmBftQDD9iXgMutcGH3Ok//959qlxEbiwUSX8f+gw0Zxo4NG9SKtUABIebP9/8YZAWSXuEzXz6U2ToKufz6q5rA8ueHrkhOE4nFglBO4cLKIJkwQVUUXLuGya5PH/tKiYIFsQqcM8c7N/S6dSohuVgxuMQZ96lcGcdQKiETIRciN2RZrAwr6IXXfvrJ16OOHNLSMId06WI0HGJj0eX5xx/N9VzoqwT1PdSIEFZs0QL9uI4cgfH6ySfGlif6bcKE3Bdwq1er0Hvp0oET24tk2JBh/h9NQ+mqnGzq1PG/bomsQJLCUUSYJKZMyb0z7oULqAaSf/fww7kbGufOwbtjO4HZxt/LlEFlw6pVOYevXEH2gJHHuVEjIU6c8G6fkcq1a+o3Sk6Gd4xIiG+/dX0fe/ciaVT/e0+b5rsxRwJWK0J4jz9uvxC46y6I4vmjp5mmwUP7xhv2vZxkntTzzyMB+L//0H9NP/fIbehQGMp6b5GmQZlX5lw1a2ZO3h3jPmzIMEII3BB69FAX7oAB/tU7OH0a5dGyjJbIvgLJFaxWiPPJpNkKFZBb4whNQ0jplVccr8aKFMEkt2WLeeXPt24hTq8/zq421mTs+esvlVehaSo0tGOHe/tJS1OienLjZGv32bcPDTsrVDAeyypVsBgJdGPEM2fggenY0X6xUq4czoHVqzFnOJoTypcX4tln4XV5+GH1/JNPBib0zgA2ZBixcydE5mQ8ObewjJns24ekOP2k0qBBzhVIrrB9uwpLRUcL8eKL0InIysJKcfRoFZJwthUujEnPrDLzEyeUzkVMDIw0jqN7x4cf4nh264ablDy2nnrN7r/fGEL8/nv+jXLj/HlU6thquCQk4Aa/YUNw6iBduwZxzz59jAsoee337m2fROxoe/75QH8Thg2ZCEbThPjqK5UjUKUKDAB/fO5ffyFmrp8Q2rVDrotZN46UFGM1kKMtf34ki37zjQpd7dplTC5u1sxYpusJv/+uvAUlSzr3EjHuMWQIjumUKUj2JEKYyFNs2xsQwYPGqspGUlORI9apk1F2IC4Ont3Fi70PwfqTjAxINDz5pOPQUm5by5bIt/JHuIyxhw2ZCOXWLaN0dteuyDHwJbICSV8xpK9AMpPz5+FZ6tzZ8cTz+ONI6HQW1rFYMDHJ+H5MDJIH3Q23aRryLeRkf9ddnpV2Mo6R1S+LFiEPQhoennLsGPaRNy8UlWUeU9WqCDFGMhYLFHIHDrT3VLRogeT5K1cCPUrvsVqF2LQJUg2OWorIbfBg6NnoDbmYGFRD/fADtyLwJ2zIRCBHjij10+hoNDD0pes3PR2lj/pJIW9elDOblYegT+rTe1PkZhsPf/xx13Jvzp5FhZI+1v/LL66NKSXFmEj8xBOhtUoNdrKzlTfx6FF1rL1J1M3MVMmbSUm4oUmdk9hYJHcGQtE6UMg8sgkTVCWj3KpXR35ZuDdA3LLFuTFTuzYWhP36qXYEcouPh1G9apV3YXImd9iQiTAWLlRehtKlkYnvK5KTMfE7qkAyo0eTxYL4+4QJ9mWWRDBo3nwTBo6m4cY3ZYq6UdWq5XpS6MqVqs8TEeLq5887f//Ro6oSJi4OUuica2EuBw7g+BYoAENcGsqrV3u3X/k7b9qEx9evG4XO2rUL/+qUM2dgENqKPhYrBqXczZsj43w+cIwyTy8AACAASURBVEDl2uXN69zDSwRDr21bzDsVKxpfK1ECx23jxsg4bv6GDZkIITNTiDFj1IXVpk3ON2JvOHPGvgKpYkX3K5AccesWQkKDB9vLjufJg4nm889RVu2M9etVVUVcHBIVXfFIpaTAaJLhhsKF4U63/duff1ZS62XKYPJizGfePBzj5s3hxpcGqrdGcps22M8PP6jnNA1iezKkUry4EMuXe/c5wcbNm/iO7durYylv4L164fvm1mojnFi8WM1hlSqp/MG9e43CmPXr25eYFyqEcGSpUtC/0r9WpQp6QeUm3Mm4DhsyEcDp05js5YU0aZL5nV6FQAXSoEHGME79+kgK9Ma1eukSknEffBDJufpJISEBJcyLFrknK3/1qlGW/P77Xb8B7txp1KRo3hyTm9UqxKuvqptAy5a+MxYZlPkSCTF8uHL/ly7t/X5lgrjsnq3nyBH0z5G//ciRoS1Dn52N0Ee/fvbX1j33ICR87VqgR+lfLBZUIsnj0L69fRJvYiLCStLL/Oef8ASOGGEfgouONhqG+q1hQ6h5nzkTmO8aLrAhE+asXo3Vo7zp6zsCm4GvKpCOHoU4X6tW9pNA5coon1671jsDSdPgvZErplKlXA9LWCwo/bVdicntqacia/UaCGSp9GefQQWaCFU03jJ1qsqjckRmJjxz8reuV889OftAo2noFj16tL2c/223QRTOk3Yb4cDVq0ZRzQkTnC/6rlxRC8R8+ZSHzmqFYT1pkjJ2ctuiouAJ/PJL3xddhCNsyIQpFosQL7+sjIDGjc1Vj7VY0DVW7+mJioILeutW9/dntSLuPmkS1DZtL/Q77kBi4a5d5seY9+9Xyc9ECIu5Km515oz9ePv2NXd8jGPkynfTJuQfEKGyzFt++AH7ats25/etXq3yv/LlQ5gxmPMfEhNhpNjeXEuWhFHz77/BPX5fs3s3wkFE8E650prl1i1UfErPy1df2b/n8GHkG7Vo4ZpRkycPStgXLgxtb58/YUMmDLl0CcqV8sIYMcK8apmcKpCOHnV/X6tWQbtB3+eGCOGpe+9F87VTp8wZe06kpaExpt5wckWFdOlSezEtIrjqk5J8P+5I5eJFZTynpAhx9932eS2esnGjyotwZRx6Eb0ePYKrBPnaNdxc77nHeH7my4dzlCtqwNy5KrRWrZp7TUOzs1GRKI/t1KnODcLz5+E97NwZBktuRk2hQsgH/P33yKqWcxc2ZMKMjRsho02E8r/Zs83Z77VrQrz1ltHgSEgQ4oUX3EuuvHoVOTM9e9obAIUKoRpo7tzAxeWXL1ehuPh45OY4mpQsFiTsybG3aYNeLePGKV2JIkUQugpGVdNQRwrX1aiB4yvPpX37vN/3+fNqhe3KTd5qFeL991VbjPLlfVsNmBuZmTiPe/VS5enS6GvfHn2oWOAPZGfDAyuP0X33edYIVtNQEalfPOZmeNy4IcSCBUI88ohqXpvTVqYMmqJu2xbZnjNHsCETJshGhDLR9rbbzInbnzmDOLFtBdKMGa4n1548iYqldu2M3W+JjP1NgqVXydmzmPDlGPv0MRpWycnGVfjYscYb3o4dRk2Jli3NucEyinfewbHt2RM6JtIzaIZ3QdNU3pQ7Gik7d+K6k0bDCy/4z9uhaQjNPv20MsTlVrcutKJYiNHIpUuqySgRFibeej0+/liF8x96yHVPeGYmjPOnnzZWRDnbatVCqN1dL3i4woZMGHDjBiZ0fY6GOxU8jti/374CqV49eHhym5w1DTfzl15CVr7tRVivHib5bduC11thscADJb9/5crwdu3Zo/pS5c/vPJRhsQgxc6YyAGNjUQnBMW9zGDhQufGXLMH/Gzc2b/8y7+n33937u9RU1TaBCDlkvuxsfvw4KuWk1ol+9T5+vG9yysKB7duV1kvBgjiHzGLRIhU2at3afe+y1Yq5cfJkIerUyd2ouesuLBQjOZTNhkyIs2ePmsTi4rAi8HTi0jQIzMnkNbm1bQs125z2K1cUI0fai0FFRyNG/957oacCunWrMlz0W5UquEnkxunTxq7i1apB5p3xDpmcvXw5DGYi51VGniCr8L74wrO/X7BAaQkVLgzNG7O4ehWVWi1bGs/J+HgYeL/9xvkUOTFrlgq51arlGz2X9etVuKhePe/Kq48cQYl2y5bOy7jl1rGjEN99F3mhQzZkQphZs5QLvFIlz6qFhMAKwFEFUs+eOe/zxg0hfvwRMV45aesn1YcewkV1+bJn4woWkpPtJwx3m0guW6ZE+IggXW6GunEkkpGhPGWnTgnRvTv+/8EH5n2GrILq1g35Lp4YBomJRmNj8GDPBSEzMuA16NFD5eLIRUKnTsg781ZsMtzJzMRCSx67bt2g2uwr9uxRlXUVKwpx8KD3+0xKQrFFly45JwtHRSEk/tNPkSEDwYZMCJKWZnRfd+7sWaVEejoqGmwrkIYPdx57PXsWZaadOhknVCJoUgwZAq2acAmhXL4sRIcO9hNF0aIw/tzh5k2oK8tk4IQETErBGl4LVnbtUsdP01QvJLMSbJcssTfMK1TwLPyQnQ2PkfzNa9Z0vcO8pgnx99+o6ktIMI6nUSN4OFlw0TWSklRlGxHCcf647hITVd5U0aLmqnzfvIkw1oAB9uerrVHz5JPwEoXrXMOGTIhx7JjKO4mOhi6EuyenOxVImgbV2tdeU52GbZPOJk7EBRpu7uwdO5AbQwRp+oULcfz1qr7DhzvvoO2Mf/81qsO2asVy5e7w3Xc4bm3a4FyWx9EMIbElSxy776OisHmaS7Fhgwq5xsUhWdnZdXvkCCpgpIEmt/Ll0ZGZE8fdY9Mm5RkpXBh90/yJXjgvf37zRUmFQN7imjXwOMmqVWfbc8/BoxxOuVNsyIQQS5equGvJkkL88Yd7f++oAqlCBZSO6pODs7NhvY8bpwSi9BN6ixaogjh0yNzvF0x8/70K29WoYbx5ZGZiMpDHpE4d93QnhMAxnjFD9e6Ji4MhGS6eLF8ydiyO2ejRUJWWrntvsViM4T9HxkzFip4b7MnJxqT8Tp1UgualS1CKtu3cXrAgQlJr14bfQsEffPGF8hzXqQMjMRCkpqq8q5gYIb7+2nefJZWbp0xxLC6q3954IzxUnNmQCQGysoyS6Hff7V733QMHMBnqQ0G2FUipqVhtPvaYfflm3ry4CL/6Kvwz47OyhBg1Sn33Bx5wXnWwZo3yauXNixuRu6ucU6cQq5efV7069ss4R5bMfvMNjrnMd/CWdetynvTl5k0IS9Nwc9X3NYqONlYHxsTgvJs/331vHwMyMoQYOlQd0549va/k9JasLNXHiwhebn94RY4dE+Lddx171PXbxx+Hbj4jGzJBztmzxtjuhAmuaVO4UoF04QKMk65d7Tu0FisGo2bJkshJIrxwAeWS8hi89FLuYbtLl4x9prp2tW8wlxuaBm+b3iU8cCBUYxkjmoZzkwi5JjJXbMoU7/b577/GHjs5bd5UIFmtMIQcydXXr4+SfU4C944zZ4Ro1kwZiW+9FTxhFE2D51X+5k8/7V9P28WL8Aa1apXzOf7tt1jcOsJiwTk8b57nifBmw4ZMEPPHHwghydiuK8mlVisqZPQTpaxA2rIFsvtvv43XbXMBqlaF237dOt90xw5mtmxRhkShQsj2dxVNg2dAlnSWLet+2E8IVIGNHq1+l6JFMemEa4KeJ5w5o7wW6elqlblokfv7OnnSce+h3LZffnH/sw4cQB8xW2kC/daoUXiHa/3BX3+pRphFiwav1MFHH6nr/OGHzWsh4w4pKUIsXmwU/3S0zZ2r7gdLltiHXz1NhDcTNmSCEKsVbkd5ojdsCPdgTmRkwLsiM+RluGPYMCRHPvec8TW5NWkCUbG9e4Nn1eJvvvpKlTLWru35zWTPHhWTjooS4n//80zZdds23NTkb9S6tTmlm+HAzz/jmNSti8lVehJdVTi9dg2VYo56D/XpI0SJErlrdVSo4FrCZlIS8s/0id1EqDAZNgw3XasVyaclSuC1+HgYr5F6LXqKpsGbJUN0DRuiZUgws3ChmnfuuSdwbVmEwDy1dq2xR5+rm7eJ8GbAhkyQceUKyqnlSTJkSM4JoNeuwcOir0DKl0+IBg0Q5pCrE7nFxSHJ8JNPvBNpCgcyMlCWKI/NQw95LyR165Zxn3fd5ZkIYHY2ymvj49Xv9uKLgVm5BRNvvIHj0b8/jDsiJEzn5LXKrffQrFnqd5dVS7bGjHwsPaRyJW2bq5aaCrXn++9XJddEuME++CA8R45+w/Pn0SRVvr9378De2EKJtDQhHn1UHbv+/UMnt+jPP1UBR/367uU++gpNQ9i2Uyf3jBlvEuG9hQ2ZIGLLFgjbSWNk1izn7z17Vohnn0UYJLeTrHBhdLr98UffCkCFEufOqZLIqCjcIM0M4SxZAte2DFXNmePZfhITjXlONWt6FrYKF/r0wXGYNg3JsET4HW3JqfdQvXr4e2eGvCP3ecWKeP7WLXjaZM+wQoUgxLd6NXLKbBuhNm+ORYMrSZRWK8YlvQqVKgnxzz/eHa9w5+RJdKonwm/y/vuh583avVuVh1eqFHzhxSNHck8UllugmqWyIRMEaBpiprKqqHp1uJcdJVM5qkBy5v4eORJtAyJB2dEd/v5biNKlcZwSEjzLeXCF06eNIYyBAz3z+GgaYtlysiPCTdPdpOJwQIo3rl4Ng4IIWj6S48fRTK9GDeP1ULYsEuVd7T2UW0Ljnj3KW2a7VasmxMsv5x4Odsa2bZgDiODVeeWVyMtZc4U//lBGaokS8G6EKidPqnO7WDFo3wQT8+a5ZsiY2YrDHdiQCTA3b8Jbol/B2XY/rVABSYm2FUi2W4MGCD9s3x56qxJ/oGkoMZQr3vr1fd/7yWJBDpIMM1Sr5nkrievXhXjmGRXmKFYM1QWR8lunpqrvnpSkOpC//jrUpv3Re+jsWfS9kb2ebLeWLc2p8rt5E8aq3G+rVijVZ3C+v/OOuqaaNAmPY3P5stIRyp/f/8J9zrBajeFy9sgwBvbvVwm4sbHQGMgt0VC/xcSgnPqDD3zbYTccSEtDN2957Pr2dV5e6Av++UeFDWNjURLqaShryxYYrfK7tGkTfO5oX7BlC75vqVLIb3J0Tfii99DNm0iY79DBeH3myYM8mU8/NTYGrVQJSclm8MMPKnyckOBZdVY4kZqKa1ce68GDw0tEMjVV5UjGxEArKZAkJyO3K7d7EefIRChz5ijXdPny0HzJSVVUv/XsCTG7q1cD/S1Cg1OnsGqTN7p33gmMF+PaNZXjQYQb47lznu0rKwvfQ55DefIgnBHOycCff+78mjC791B2NkKOjzxiFK+T3pEvvrBvibBqlWppQYTkYk9/Xz3HjxsVf4cNC51kVjM5flx5wmJjYUCGozcyKwsGmvy9X389MN9zxw6l7J4nD0K4zhLhuWopwkhPxwkhT4KOHZHr4KqqaLDqIgQrf/6pSluLFw98oqymYZUlDZDixb3rvXLyJFRg5flRq1Zo5wo44vBhCN45uybM6j2kaZi8x45VOVT64/raa7l7PlNT0XtMJgMXLoxkX29XqllZQjz/vLqJ3H67+x3YQ5lfflGNM8uUQZ5bOKNp+L3l+TdypP+8HVJ9Wlb4Va2qGp3mlAgfSNiQ8SMnTihNiagorKDlyRnsyVShhqZhhS5vKHfcgQqgYOHwYaNWzDPPeO5N0TRoUuhL8AcNCl25cSFU7yF9g059SEeqKffs6f1nnTolxJtv2velKVEC7Sq2bXN/Rbx7t9GL0qyZOYbH2rUq6TtPHminhKNXQmK1wiMhDbgWLczxcoUKH36ovnuvXr73uKamGkvZu3Wz9zyysm8Es2KFWlEUL27vWfFHn5dI4dYthATkMXvsseCMo2dkoDGnHGf9+t51wb5+HeXGcuIrXhy5HaFyo0tLg0RAly7KAJW5AnptpX371GQ7dapnn3X9OioD27QxXl/58iEHY+VKz8QM9VgsSC6XOS4xMfDWeJubdfmysT9Xly7hWcF244Yx92j4cFwzkcaCBUo4r00b30loHD4MoUl5rk6bFjqq4mzI+JjsbFUmSoSqpNOn7d8nO+/mlOxbokRwWL/BzH//qUTY2FjPGjn6m19/VcKF+fIJ8dln3o1582ZjVU3btpikghGrFaGwxx+310S68054HC5eRH6E9EJkZanvt3y565+VlYUFRe/e9sJ47doh5OeLm8S5c1hNy8+rUsX7kn9ZgSe/R5kykFoIFw4fVq0j8uSB+nYks3atuj4aNDDfK/Xjj0oDqUwZIdavN3f/voYNGR9y/rxxxTdmTM6aLs5UReUWHY1yW8Yxq1crEbpSpSABHypcuGBsWvjQQ94lc2dlYUUlE1Xz5BHi1VeDZ0W7f7/j3kOVK6Opnm0V1pIlKkSYkaFK6HMru9U0VDs984zKlZJbnTqoHnO0sPAFK1eqyjUiJH57m5y8d69aRRPB4xPqulE//aRu2uXL4/djoIEkw8eVK5uzOMnMRPhUv+hJSvJ+v/6GDRkfsW6dShgsVAg5DK7grCmX3iB6883g9zL4E03DMZEGYNOmodl+wWpFXo8UO6xQwfuV0YkTSm+FCOX+gVptyd5DUolVbrL30IYNzl3ZL72E9w4ejAmdCKFaZ9fBf/8h7CRFxuRWujTCeTt3BuYaSkmBMJ8+GfjTT71z4aelCfHUU0ZPlqdifIHEaoUOlvwerVtzJ3BbTpyAurcMHW/ejOc9yVs5dUp1CSdCcnGoCi+yIWMyVit6H0mxpvr1IfHsDo5OSk0zhqhGjeIwkxDQ+OjZUx2XoUODx+vgKTt2qMkqOhqTuzcTjKbBdayvxHn8cfT18jWy99B99xl7D8XFCdG9OxSLXUlg7N4dfzdjBvJ+ZL6AnqtXUaJ9991G4yU+XogBAxDCC5aJeudOYyJz8+bwrnjDsmUQSSRCmOD770NnwXPtmkrgJkIXeG9zlMKVS5fUuZM/vxCTJ7vfkfrXX9W5kpAQPOJ7nsKGjIkkJxvVdx97zHy9hw8+UPvv3Tv0b9recOQIwgPyxvjFF4EekXmkpMDYkL91y5YotfaGa9eEGDHCmHM1e7b5NzuLBfkajz6Kho76CVb2HnLXiKpSBX+/bp1KkB49Guf/0qUIxcmESGkAduyIm/nNm+Z+P7OwWJDDJcMosbFYrHgzZ5w5Y/Te9u/vfSNUX7N/v2opkS+f533JIomUFGMCvO3mTNvFYsHCSHqvmzQJDzFVNmRM4t9/1WSbNy+S03y1Gpo/X4Uf2raNzEaQK1eqrrHlygVfbxKzmD9ffc8iReBZ8ZaNG9E4UU567dsLcfSo9/vdvRthE31PKCL0DfKm99D162pfyclIzJV5PzInSm4NG0IoMJRKdM+cgUKw/A5Vq2LF7CkWCzRvZPiqatXgzTNZuFAZu5UrwxvJuEZ6uvN+X9KY0avtXrwIEU75+lNPhY+AJhsyXqJpqDKRq8Fq1eA29jV//KFWcg0bmqdoGuxYrWiiJy/GVq1CMznNHU6cgH6GPizkrfx+VhYSXfPlU8b31Knue/ic9R4qVgwT5aZN3hv0Gzao/epzKORWrhySXL0NzQSa5cuNyc/9+nl3bm/apBZXsbHIIwuWcLTFIsRzz6nv2qFDaOseBQJ3JDv++Uf18IuPR7g3nGBDxkUc5a2kpiL2Lk+Y7t3hvvcXO3eqvIcqVYK3xNYsrl836meMHBn6FRqukp0NdVvpEq5Vy5zV63//oTeRPKa1a+de7ZVT76GePZGrYdbvcvmy6kdmu/XtC4M+WG7OZpCSgtCZzCcqUgR5P54mA1+/bmxK264djM9AcuUKwn5yTBMnBk/uUiigaYgA6OfCnLYBA5R3rnZt77SqghU2ZFzAUSVRmTLquZiYwPXv+e8/FV8uXjx4XcjecuCAqkDJm1eIWbMCPaLAsH69Ou/i4lDl5K1olaYhhCW1bIiEGDLEWP6dU++h1q0d9x7ylPR0hBy6dVNl1rZb1armfFawsmOH6g8mc6Q8bcWgabheZAineHH39HfMZNcu5SWKjzcnVBoJZGZCRPXpp2HcumLA2G79+pnXSDXYYEMmF6S2i7OTIyEBru9AcvEiSi7l5OCt2FawsXixEmuqWBGrkUjm6lUkt8pz8L77zClTTU4W4skn1X5LlkTfoTFjjEaO9Ai50nvIVaxWGGlDhqicINvto4+EeOMN/L9/f3M+N5ixWCAIKM/92FiUyHqqUn3kiGqRIj2a/lS8/uEHZQRXqxb6oUBfc/06Fhh9+zq/JlzZYmORYB8qFWyewIZMDki13ZxOknLlgsO1nZKiBNViYuD6D3UsFmPjtLZtw1OK3RM0DSEHmeNSqpR3CaJ65s51fK6XLOl57yFnHDyI31gvFEeEx88/j5ud/I5Hjqju4dOmmfP5ocDp00ap/mrVPG8em5mJhGy5r3r1UDXkS7KyYBDLz+zc2TzvXbhx+jQUmzt2VAUdjrbKlVFQMn9+ziKqJUoIsXVroL+V72FDJgdCrf9RVpax4dfbb4euFX71qlHpdvx4jqM7Yv9+Y6Lt+PGeleRfu4aJ0bb3kH57+WVzcl8uXIAejD50QoRV55Ah8MzIcNnBg3itQAEYtjJfZvVq78cRaixbZlxY9e/vuSdu9WqVX5cvH0T5fDFXXLxoPKemTAmOhV+woGlC7NmDRHvb68HR1qwZ5Ab04WRHqQ9E8L75QysqGGBDJgdc7UgdTPkaViuS5+TYRo8OncZfkt27kQNBBFc0d/zOmbQ0SPDL3/yOO1xL/M7MRK6Es95D336LXA19Yubttwvx999qH64qit66BU9P587GhpCxsciFWbjQcZhj/ny8r3lz7EMmwYZ7pZozbt5EqE8eh4QEIb780rNr/OJFo+pzjx7m3vi2bVM32EKFYIgxWJD9+Sd+R5kvlNvWtStSGJwZm4cOwVMnr9/XXgu9ed8b2JDJAVc9MnoPSLCEPt5/X42rT5/QEc6bN0/F0atWhVHDuMby5UjkJEKu1Dff2E98svfQyJHqvXJz1ntI02CElCyp3jt0KMKXOSmKWiyoKho0SOV56FeWH3+c+/UyaRLeP3w4XORECKNFOv/+a8x3adXKs2oUqxVzhQxjlC9vjof5m2+UcXzbbfCsRTIpKcj1e/RRpagrt3z5YFC2aWPMRYuNxbWTW5L34sVKiqNUKTSYjDTYkMkBVzpSO9umTkVFUSCZN09NUO3bB7fCZ3Y2wiLy+HXq5F3TxEjl7Fn81noj9to1nIuvvqpaH8jNnd5DV6+iJ1JO572M13fvjpui/rWqVdEzyZ2WHdJj8OmnqIyS5waDa2bGDFWNFBeHhpueJPDu3KnCdlFR2I8nLQIyM419n7p3D+55x5ckJcFb9sADRo8nERYRgwdDxfi114wLgoIFkceUW7+4rCylci2N2VASgjQTNmRywVlHavnc118bpeQdbZMmwUUfiHyVNWvUarhRo+AUzrt0Sam1EiHJk+PonmOxwLPi7HyUvYdWr/Ys72j9eudl0bZb0aLwpvzzj2fnv1QJ3rgRpadECJ0yilOnjJoi1avjuneX1FTkKMn9NG/uXlXa+fMoE5fz49SpkRXe0DR4nt56C8fO9p5RvToWaxs2wOCYPBmhQf2i4q23XNMiO3NGHWt5TURybyo2ZFzAUTJVxYr2fSyOHMndqBk5Eq4/f550O3Yol2WVKu43sfQl27crNdMCBeAmZTwnIwPnpb48W7/NmuW9loSrIVdPlIL1XLqk9nXzpmoGGW6qpGagaUgC1XvBBg5EHoy7LFigtEoKF3YtR23jRmV0FikixM8/u/+5oYjFAiN94kR7byeREE2bQjJg/378RkeOQOJA76GpWROeG1fbBfz+O6qR5LHm3CM2ZFzGnTbpmoZEN30FkaPt0Udx00lN9f34jx/HioAIF8G2bb7/zNyYNUtd0DVr+r4MNFzRNCTgDh9u33tIJgDK7Z577HNg3MXVJHhvk7TXrFErWatV5QF4KgwXCdy4gQR/6Q0oWhReY3c9I4mJxhX/4MGODWDZokWGsOvWNadvVzCTloZ8tCeeMOaNEUHd+v77cUz0YZ6tW9FPS++lkRVIrnqfrVaEh+U+GjXCvM6wIeNzsrNhQUv9C2dbt26YcDxZQbnKxYuqxC8+3jzdEXfJzIRnSn73rl3929ohXDhyBL2HZIWX3MqXRx8bveDY7NkqxFi0qL030R38JUvw7rvYT8+eyPGRN4pIdqG7yrZtuNHJ36J1a/cTbrOzkdMkK6Rq1oQHVZKejpu5/IzevcNXOfbyZSy8evSwb9RYpAhK4RcuNOYDaZoQq1bZSxp06YI2IO6EWi9fNspRDBvmXzHDYIcNGT+SloaTvWvXnG8ArVphEveFtZ2SonrrxMbiBudPkpLw/eR3feWVyIqje8ulS1C4bdrUeM4ULIgKh5x6Dx07JsRdd6m/GT4cJc3uklsSvG3XXU+RHs2pU7FyJUJpOeMa2dloYSFvvHFxMHzd7Xi8YYMK/8bFoR3LqVPqXIqORuPQUNWscsbx4zh+rVsrY05ulSpBHPKPP+wN66wsIb7/3thh3tUKJEds3qxSG/LnDw+xU7NhQyZAXL2KuGhOAmREuBimTMFKyKyJIjPT2Oxy2jT/TEKbN6sOrIULC7Fihe8/MxxIS0PeQteuxiTbmBjossyb57pBkpkpxP/+p/ZRpw4EudwltyR4bzw+kgYNsM/lyyHGJ0McjHskJhoXTzVr4gbsDsnJ8IzZzk/FisHjHA5YrQgBTZ6MEJntd23UCOfhrl2O58ubN1HKru9gXrAgEnw9CedqGlpUyLBdzZrc1sEZbMgEAadPY0XTsGHORk2FCgjJrFnjvXvdajVKlY8d61vPyBdfqAvy9tuDK+E4GLFaEZp54gn7PitNmgjxwQfe9VdaswaNT4mQp/Thh+4bs46S4PU6Mt6QkaGMtsRElPESHh7x1QAAIABJREFU4Xsz7qNpSKSXCblE8Hi5o3ulafY3+E8+8d2Y/UFGBkLsI0aoRZZ+odChA66NxETn+7hwwXEF0ptvet6K4cYNhOrk/nr1itwydldgQybI2L8f5ceVK+ds1CQkwKuyaJF3cWmZh0CE7qhmC+dlZEA8TX7Gww9j5cI45sAB572HJk82V1js0iXE6+VndO3qvqCjxQKVUpm07YkomyN27VLnuaYpBdRgaQcSqly/DhVo6UkrVsyxcKItt24Zvbj6bezY0BHcFALGxQ8/wFCQCeR6D0rv3ng9NyPk6FGEZ72pQHLE3r1oyipDUjNnhl/YzmzYkAlSNA1lfU89Za/AarvlzYsb0ldfebZKnztXeUs6dDDP8j9zBpn5MuTw5pt8QToiKQnCZnqlViIkEQ4dauw9ZDaahhWnnIzLlnU/7CCE6vdkVgL5d99hf/fcg5uvPCbcbNActmxRoTt5nA8dcvzekydV4nBMDLxi6emojtKHXZz9fTBw6hTO8w4d7DWQypaFQfLrr64ZZFu3IsymD6s2bQpPpLd5Yd9/r5TNK1QQYtMm7/YXKbAhEwJkZUGX4ZFH7DPmbbeoqP9r77zDoyi7Nn42IQ1CS4BQld6lCCgoCEhHmjSBoAIKIhFEQMUXCyBY0FcUBJUXFFCKSO8goIKAdOm91xACISSk7sz3x30937OzJdnN1tk9v+vaC7ZkdrbN3M8p94HfxpQpjrVBbt4su1rq13d+ls1ff0nvmqJFvdch5auI2UPt29uePeTMqs5RDh9Gyk98h95917H0ZZcurk01CMfS4cNRbEqE2gPGdWRmonDXtBj4ww+137vNm6WlfvHilhGxNWukp0n+/Oi89IXFiqLArfijj7TdW+JSqxYinHv22LdIUBRVXb9eVVu00G4nLx1I1khL07pmt22LTiXGPljI6IwHDxD2NB++Z+tSsyZ+sHv35v6D3b9fio8KFfLmByFW+GLVU6eO90c1+ArZ2ahNeekl27OHvHnwSk2FWZfYp0aN7O+ce/NN/M2YMa7ZFzFmYc4cdGmJ1Bfjei5ehI2++NyrVoVp5+efy26dRo1sF6zeuKGqrVvLv+/Vyzt2CpmZiCYOH26Zmg0KQvfRl1+ie8+Rbc6fr50wny8ffsOu8jM6dw6LR7GIGD+enc0dhYWMjomPx8mvSZPcBQ0R/EWGDcMqKyPD+jZNjfOKF8dwOnt5+BA/cPF8fft6xuzP1zl8GM6f5sWEFStiBexrBmLLlkljvchI+1r0v/kGj+/Rw/nnVxSZTt2/X9ZYjRvn/LYZ6ygKooCiANz0MmhQ7tFBoxHCRyxgHnkEqXF3k5yM/Y6N1RbbEiFF060b/F8crf168ADpXld1INli5UrpolysmP90gHkaFjJ+wvnzqjppkkwP5HYpXBhC49dfLWtibt2S9RoFCmAmT25cuiT/JjgYbYi+EGL2FteuIWxvWocg0mxDh+Z99pCnuHIFdRNiv2Njc66dWr1apiWd5do1+T1KS5N+JUuWOL9tJmf277c8Vvz4o/3f1b175UIoKAjRhbzM88qJ69fhnNu+PQwSTfe1eHEIr1Wr8uaRdOsWBLOpQ7azHUjWyMrC4kY8R5MmuQ+JZGzDQsbPELnhMWMspw/buoSGIlX1ww+yNiY5WYaL8+XDlFZbbN0qV9DFiqGLJRBJTkaxXuvW2kLA0FB0ay1frq/ujuxsmNGJFGbFiigStcaxY3hMkSLOP+/atTItmpWlquHhuO5rkSt/Y+1aGR0wv7RooaqnTtm3neRkbWS2aVMU2+YVRcH3a/JkSyNIInQKjRmDxUFeUzJnz1rvQPrhB9fXql2/jjSXeJ633mK3amdhIePHiNbYV16xfYAS3UriYjBgdfD558gB9+sn7/viC+32FQU5Z5FHb9DAuQOWHsnKQiFzv36WhdhNm6rq99/D/FDP/P23rDnIlw8Tes3rrVJS5Ot2duU6ebJMTZ44ISOD7ADtHoxGCFYhvp96CnUvmZk4DogumtBQRFjsFeMLFsj25iJFYBVhL9nZKKIdNUpGeEwvjRvje3jihHORzb174dHijg4ka2zbJusQCxbkIbmugoVMgJCejohAjx7aVYc4yJQpYzmzh0hVq1XTXn/rLRz4UlLgOyNuf/nlwJn9oSiYKD5yJMLO5qvDiRP9r8D53j3tvLBWrbRD8VRVvhcHDjj3XOJ5PvtMVRctkicuxvXcvy/NBolg92BeP3fhAtI4pscEe/18zp/XRlEGD7ZdN5eaiknOAwbITihxCQtDQfIPP0BkOYOtDqSOHWF14I6Ur9EIgS4WfXXqsCmoK2EhE4AkJSHv3aqVdiUSHIxWxaZN0cJtHq0xvQjRky8fCo59ud7DVVy+jFx5zZra96JYMZiM7dnj3++DoqCLSESeoqO1YyYaN8btjqy8rSHE84YNqjp2LP7/2mvObZOx5ORJ+V6HhuKztYWiqOrixVrhPnCgqt65k/vzZGbC5FEca6pXV9V//8V98fF43i5dZApRXIoWhfvw0qWuGUaZmYkUubUOJHda/ycmarvCBgzIW/0OYxsWMgHO9esozBVTscUlf354JPTvj/oOcwdMcYmL82/r7KQkeGOYr97CwhA5WLMm8PLbp05pvTneeAN1BH374vqUKXnfdmqqXLXevInaLSJVnTnTdfvPIPIhftNlyyLFYg/37qFY3VTEz5tnn4DfulU7IkGksk2vly+PVv5t21z3u7LWgVSgAKLL7k6F790rXdrDw3MWi0zeYSHD/D+nTqEd2DwnXawYOgHMJ8Ca1tm0b49OAvN0gx7JzESkoXdvy1ViixYQNklJ3t5L75KeLk3riLDKff55mZ7IK3v2YBslSuC6aFnfudM1+x3oZGdjCK343Jo3R1TEUXbt0k53fvZZ26kSoxEDY8eORVeR+fGjXDlVnTABNgWujGjGx1t2IJUogRSPux2iFQXmkKKrqlIljN1g3AMLGcYCRUF3yogRsjDNkcuTT6IQz5cty81RFJxE33jDMj9fowZSSoFWyGwPGzZYfkfatcv79mbNwjbatIH3h9gmz+dynrt3ZYSLCDVezkQ9MjNRxySKgcPCUB+Wno4I3dq1qIkx96YxHxFQsqRr/VPOnkXUyLQWsHJl93QgWePBAxmdJILAD/SFj7thIcPkyPHj9omXnj1ljYTppVo12N3v3u2bXScXLuDgK4a0iUtMDA70Bw74d92LK7h1C+LF9P3La6fWsGH4+zFj4IIsTkKMcxw5IiOtERFwB3cV589bfv7ml0KFVPWFF1R14ULp+nvkiHaa9ttv2zbqtAdrHUiNGqHGxlNOucePSy+v4GB0dfLxw/2wkGFssmoVDkBE6Gratg0Ff507W66qiGBNfvw4Wo47dLA0qypZEhb469d710/l7l3s49NPa/cvIgJt1Bs2uN7Ey98xGrVDBEuXRgeIo4jP5Oef5WR2V7gFBzK//ioLtMuXd22K4+JFDJE0ryETlz59VHXTJtsC5eFDpCLF4xs2dGyEgKLg99qypfZ53dmBZIsFC+T7XLq0qu7Y4bnnDnRYyDAWGI2olREHhWbNLKdq37kDMWBtIFvXrnBhjY/HQbRvXymIxKVgQdSgLFzombCraD/v3l0rsAwGGNjNm8fpC2fJytJ+xgYD6jHsFYVGoyxAPXIEHStEiJgxjmPuHtu6tX1dRjmhKHD//eADS9dqUe9ier14cYjS3ATFihVyOGVkZO4FxLY6kF580b0dSNZIT9eKsVat8lZ3xOQdFjKMhnv30K0kfpTDh+eeRz971vpqrGBBtBpu3oyV16ZN+MGbzxwKCcG015kzYU/vKhQFRaJDh2oL/ohwEP7iC9c+HwP3X5EOEu91kyZYuefG+fN4fGgovnPiRLlqldt32+9ISMAJVXwG776b9/RKRgZ+w3Fx6HAy/R0FBaFg+KuvtN5Jf/+tTRu1apW7M/PVq9iW+Jt+/Sw7Ih88QATIdCikpzqQrHHxIqJIYl/ef58HPnoDFjLM/3PsmDwBhYfbNyxQYDSipsRWjrxkSdwvpnDv2YOp3OaeLCKvPXky0lR5CQ2fOYOIkjipmqY7xoxBdwTjHsRYi7lzYWYnInGFCyMtmRPLl+Ox9evj5Cl8jC5d8sy++wsHD8qW3wIF8jajKikJn1+fPpbR1Pz5EdmcNy/nCE9GBorkRedfWBjmweVUB5OdraoffyzHYlSogPq6+HiIBPMOpEmT3N+BZIu1a+X+REUhZc54BxYyjKqqMDErUAA/ykceyZs7q6LAQ0QcaB55BG3bImQsLlWrwupcrNBOn8bfPfWUpa9ElSoIj+/cmXOxcEICjPmefFL79wUKwPDq9995peQJBg/G+/7hh7h+4YJ2OvvAgbbNzT76CI8ZMACGaURwneZiSfuZP18Kh8qVMWbEXq5eRctw27aWZpgxMZhCvmaN4w7e586hC01sq0aN3OtHdu1CPY+1RVHlykhre8tJPCsLBn9if554gjsavQ0LmQAnOxthZ9MQcEKCc9ucP18WA7dtiw6W1auxuhOtmqbRl6+/lsMqb95EC27HjpbFwjExOFGuW4c2yrQ0rDbNi4+DguBrs2CBbTt0xj188gk+gxdflLdlZWE1LURq1arWhXK3brh/6lSs9omQamByJzNTW2zdsaPsDrKFoqCeZOJES0NMItlxuGuX8x2HioLfo2mr/quv2u5u27cPxw7zffrmG+8uSG7e1BY2v/GGvgbB+issZAKYO3e0B4sxY1zXrbNhg4zwNGggi4WTkyF02rWT4WMhPtq0QUpC5MWTkxEpio21PfTS9PL44zgJClHEeJ7Fi/FZNG1qed+ff8oai5AQVf3vf7UnSLEC37ZNmu2NGOG5fdcrt26p6jPPyN/Bhx/aFh5ZWZiTNHKk5Ww1gwFR0c8/t3/StaMkJsqonUgPLVgAoWOrA8n0Eh3tvZqpv/6SzsSRkbmnShnPwUImQDl0SJ448udHPtzV7N0rzeUqVUKI2ZRbt1R12jTLdFB4OFq5V66U+fTDh7XD58wvpUsjtXT1qutfB2M/wpm3dGnr9ycmSgdgIgjaW7dQkyFuS0yEUywRW7rnxp49sEYgQnH9ypWWj3nwANOcX3rJMs0bFqaqnTqp6v/+Z9mZ6E527LCsjxMLHyLZgSTq2U6fxkJF3B8X57nUkqJA3ImFV61a+jL7DARYyAQgv/wiUzwVK7q3+PXMGbnyK1HCdu3NuXMIcZtP27Z2KVgQHS1PPy3Np0wvDRuiCPDYMa6v8DQJCfJzsOWiqiiocRC1HCVKoPCbCBEbRcHKmwitvox1Zs+W6dfq1bUnV5Gife45y2n3UVGYVr98uXdTr4mJ1kcWDBtmveYkI0NVR4+Wj6tdG79xd3LvHgZaiufs35/T1b4IC5kAIjNT21nUvn3eHVgd4eZN6TcTGYnCW1ukpiLFZUvElC+P8QmmAuXMGbRSN21qWSxcuTIOfjt2cLGvJ1AUfMZEua9ajx3T+oAQIb147Rr+HxzsGUt5vZGejmng4j3r1g3p2JMnMTKgSRPL30HFikjX/fmn980e4+PhQ2NuiSAutWqhfdsWGzfKKdzh4bBtcMeC5cABuQgLDcWIA14Y+SYsZAKE+HitR8O4cZ49sd+/L9MFISHIiwuys1V1yxasEsVJMLdLrVooLDX3J7l1CyvVTp0sV6LFi6vqK6/krfOCsR/h/2JPO2paGgomTT+nr77CvzVrun9f9cb169ousI4dIfzNR2yIyOTHH6NzyRdOwOfOwUfKdBBrpUoYNvvwIQzuTOecDRliu7U6Pl47N6pbN+fN/gSKAtEijh/ly3Nk0NdhIRMA7N0riywjIxFS9gbp6Zi3Ig4+AweitVrk+MWlQgWs2EwLDtPSMDPF3JmXCCmmmTMtu60ePMDf9O+PNl7zfHyPHjh4esuHwl/p2hXv8bff2v831sRq377u20c98vffORe9h4Sg5sjVxpLOsm8fXLyDgrQi67ffLBdTd+5gsSEeFxOD+j1rQsxoRHG/aBUvUwaFzM6QkiIdpYnQEcnHB9+HhYyf8+OPcmVRrZqqnjjh3f25etX6QbhIEYTLd+zIffV47x6iLs8+qw2h58uHmoCFCy3z2JmZiPoMH25pox4cjG1Nm8Z+EK5ApC9Hj7bv8VlZcpVu7hybWwtxIJCQYLvQvXBhCL7Fiy1dcL2JoiAFJKKwpunsP/7I/Tf+11+o+xF/166d1jnYlIMHZW2dwYBoc16mep86Jd2Ig4JQ4OuLg24ZS1jI+CkZGXKSMBEK1rw1Sv7BA7Rct2mjXZWZRkdsmaTlxrVrGC5Yv77lNmNjkd4wP6gpCvLfH3xgWaNBhO6IiRPhseELIXm9MW0a3sfu3e17/IkTeHz+/PisTD+LRx+FGWKgce4c2tOtCZioKKTjfv/duWnR7iAzE2njunW1C4X+/R1vKkhPx+9QLMTCw1X100+ti5SUFG0kp3FjmDHay6+/yrR2TEzeBp4y3oOFjB9y44acImww4GDg6ZVFVhZWZLGxciKsaSrou+8QFhYtje3a5V3MCE6cgPGa+WiC4sXRrrlrl3VhIk4azZpZCq2KFVV11ChV3b6di4XtZc0avHf16tn3+EWL8Pgnn0Sxt/gMxPcmOBjfYX9+/41GpIDHjUM3jrXoS4ECEOC+KK5TUmBWJ0YjiP0dOdL5EROnT2sjO7Vr47dsjV9/lem3QoUQnc2JjAytkWDz5jh+MvqChYyfsXOnNG0qXBjzQDyFoiDM+9ZbmK1kehCuXFlVJ0ywDA+vXy9PWA0bumZqrKJgPssbb1i2d1aogJOFrRRbfDy8S7p00RYlEqEQceBAGHJxsbBtjh+XJxJ7Trpjx+LxQ4ZIH5oSJZAq6d9fvv/PPKOqV664f/89RXo6xP7QoZaDVM0vOXX6eRPRgWTqT1O8OIqMXdkRqShwexZt+QYD3jdrqcdLl2DsJ/ZnwADri6TLl7UeVmPHer+ji8kbLGT8BEVBlEMUvtWqlfu0WVdx5QpCvqbTbolw0ImLg6jI6YS2Z4/sVqhc2XYuPC9kZcEttH9/reEWEdJROU3ATklBYfRLL1m2iubPD2O33AbnBSKpqfJ9sudkJrpPZsyA9wkR0pCC+fNl2L9oUZi76ZV795B66d0bfkim36nISFXt2VM7LqB+ffsmh3uac+eQurbVgeQuEhKwmBDPWbIkojDmx5esLDgci+helSrazqMNG6T4KlIEI1QY/cJCxg9IS8NwRvHj7tnT+TRNbty/j8hFy5bagtuwMLjyrlrlWP7+9GnpNBwTg8iOq0lJQRqjUyftbCaDAa9j9mzbxaVZWbDOHzECwzBNT0DBwfj7b77hSc0CEZGzp21VRCN27oTwJUJLsSlnz2Iul3jPhwyBYNIDly+r6vTpmGNm+r0TJ+IhQzA/LDFRVfv1k/e9+KLvRf7277e/A8md/PGH1jyzQwfrNTHbt8vi/pAQFPCazv1q0MCxWhrGN2Eho3OuXJEHeFFp764cemYmUlUvvGCZdmneHDbnznSZ3LghiwQLFnRvOD0hAavHpk21ryM0FJGWpUtzdqY9eBDTmk2LGsWlXj1M9/73X9+sZ/AEwutkyZKcH2fqBJycLD+Pn3+2fGxGBoYYipNQjRp4j30NRcEIkPHjLYvQxX6/9x6MHUXt2oUL8ruULx8Kpn3lu6Moqrppk/UOpG3bvLef6el4j4UdQ0QEjn/mxcB378JqwfxzGDqUDRf9BRYyOubPP2UNSFSUqm7e7PrnUBQUIQ4fbllvUr26qk6e7NooRFKSHBoXEuKeGVDmXLwIcz3z1FihQghjb9mS82rzwgUULjdvblksXL48Ch59wVHVk8TG4vV//nnOj9uyRaYljEaZbjl6NOe/EXVgYWG+cdLPzFTVrVsRsTMteBURv6ZNkca0lu7dtEmmLkuUQOuxL5CVZbsDyZcE5KlT2onUdeognW3K339bCpl167yzv4zrYSGjQxQFaQzR8VO3ruvDoxcvomDPfPZRiRKq+uabCDG76+SRno7wtXjOqVPd8zzWOHxYVd95x9JrplQpFDHn9roTElT1p59gCifmWZnWDA0YoKorVugnLZJX3n8fr/m113J+3Jdf4nHdu6M2SkTFcvMBuX0bnkHive3UCbd5EtPp7OaGixERKBifM8d2AbuioLZMRJieeMI3hp5a60DKnx+/e19NnSqKqs6dqy0GHjYMEeKvvtKm9MRxkwiLjPR0b+894ywsZHRGaqq2kyM21nUnxbt3Yc1tnm6JiIDp1vr1nosqGI2IAol9eOcdz666jUasjIcMsSz0rVYNHVhnz+a8jdRUTCMeMEAeYE3f065dIXrMHYn9gTlz8Drbts35ccJFdcIEFFYTIR1jD4qCaIzwGSlVCtEad3LjBgZeduhg6TAtutpWrsz9N5mcjFo28bevvur9E+rt2yiQtdaBpJeC9oQEjDoxj74QqWqfPqgdTEvTtlzXq8fTrPUOCxkdcfGizLkHByNS4ezJPSMDEYIePbQHZoMBxYlz53rPMVSsWMU+vfRS3hw7nSUjA8XLvXtb1gY98QRWr7du5byNrCykl0aOlEXN4hIUhLTU1Kn+U3j4xx94bVWq5Pw4MZdp5UrUHBFB+DnC4cNyCrrBgDoaV31PFAXt5JMnWzenE0NJHfEZOnMGc6RE+vSHH1yzr3nl/HnLDqSKFTHqwNeKje1l6lTLz8q8+2vNGtktmT8/iv29naJk8gYLGZ3w++9yVV+8uHMzRRQFhlKvv65dfRHBbOrzz30jxC346SfXGuc5Q3IyWq7bttXWwwQHY9/mzcNjckJRUGMwfrycCm56qVsXJ/WDB/V7YL10SZ6obZ3gMzKkXcDFixj8l9dUYmoqomfiPWzUCC3Cguxs/GYWLsS/OYmO7GwIk9GjIVTMP58nnkBN1fHjjn8+a9ZIw7ZSpWwbu3mC/ftRuG/6PW7QAAXaejYf/PFHywWHECtffKGNKt+4oaqtW8vH9OrFYzH0CAsZH0dRICzEwaZhw7ybgp09ixNkpUqW9R+jR/tWAZ8569ZJ47xGjTxfD2GNmzcRjTFfqUdE4ASxerV9LegXL2I7LVtq8/dEaPUeMQLdIXoqFs7OlnUJtr6v//6L+wsXxve8QgVc37Yt78+7bJlMBUZGwoNm2TLLGU5ly2r9aEQacOBAy6L20FCkkr7/HtOn84LRiPSZ2ObTT3vHQVZ0ILVqpX2N7dp5twPJFTx8qLWh6NABKbGTJ2GmaLpQ2LNH/p3RiGOs+L4+8giKgxn9wELGh3nwQFv0OnCg4+2Cd+7AaKxxY+2Bq0AB1Cds3qyf1dc//8ioVJUqvpWGOXMGJ6qqVbXvc1QUCl63b7dvTMSdO4jqPP+8ZbFwVBTSa8uXWw7F9EWEYLY1t2bePNz/zDNIX4rX6awj7JUr2hOXtYvBIAtCu3SxfK+LFEH92ZIluUfYciMpCc8hth0X5/kZSVlZiEaZRgCDg/EafXkBYy9nzsg0ZVCQqk6apP29KQoiNSICbTDA+ds0bb53r/zOBgUhYqqnxUMgw0LGRzl7Vs5cCQlBvtre1VJaGropunaVoXvx42zXTlV/+UUfJ0JrnDoluylKlnSPcZ4zKIqq7tuHWhjzMQ2PPIL6jSNH7NtWaipqcwYOlLl8cQkPl10xvhCdskabNtjXn36yfv+oUbh/+HBMPSdCt5gryM7GiSgnMWN+efRRRL+2bnVdjc2JE1LchoXZfi/cRUoKCqJN67J8vQPJUZYtg1UCEboqt261/djbt2WBORHMGJculcfW5GQsFsT9TZvC0JDxbVjI+CDr1sl2zpIl7Qtzii6bwYNlDl5c6tfHUER/GYZ2/bpcfRUsmPOBy5tkZ6O2acAASzv6xx5DIbO9JxNRtzFqlEzBmArUZs3wGbtyvIOziJqVDz6wfr8wWJs9G863RGijdhWi4Di3y8svw8DO1WmVZcvkaIVy5SBwPYW1DqRixTB8Uy8dSLmRmQlLBFPRYWvciDlbtmjrnzp31gqWBQvkb7ZIESwMGd+FhYwPYTSi1VH4SjRpkntO/uRJDEE0N+EqWxar/2PHPLLrHicpSZpghYSo6uLF3t6jnHn4EAfDbt0s23abNoXLsL0nGEVBVGfiRFV9/HHLE/Njj0E8eHtSsug469/f8j5FkWnCffvQfkyE77KrWLjQPiGT24RkR8nOhnOv2H6LFp6Lmp0/j9SVaapMdCD5k3fRtWvawZBjxjgeRUtLw+9ERK0LFMBiQKSTzp/X1r8NHqzfSLa/w0LGR7h/X3ZtEME+21YePT4exaENG2oPyAULIg2xbZt99Rh6Jz0dXQYi5/3NN97eI/u4exfjHFq00M6pypcPEYlFixw76Vy+jPTBs89aFguXK4fUjSvTJfby66/Yh6eesrzv2jUZTXr4UI7ZyG2kgSPYG5FxpgPQnMREpG/FtkeN8kydxYED1juQfv1VPzVw9vL777Igu1Ah2Ec4w/HjWu+s+vVl9CwzE6JU/E6rV/ePmiJ/g4WMD3DyJH4gRFitz5lj+ZjUVJzgOnbUnqyCg+Fwunixfj0fnCE7G0V74v0YO1ZfnRdXr6Il1LwNOzISufwNGxw7ESYmolOnRw/Z5SUuRYogOrJ0qWda2PfuxfOWKmV537p1uK9GDXyGIoJw+rTrnj87G5FJU7FoejEYIPRcdaI/fBjRDyK8ngULXLNdWygKivVN24eJIKS2btXX78AeROeX+Dzr1dO22Du77dmzZcdbUBDqpUQx8NatcixGaCgWTf72/uoZFjJeZsUKmYstW9ayLXDrVus1Fo0aYRVuy/48kFAUGJaJ98ZbxnnOcvw4UivmNTAlSiCq8s8/jh08Hz6Eb8krr1i2FIeFIfoze7b7vkN37sjnMxfZn3yC2/v2hZAngvBydfRg2TLbIsZg0LZgO8OiRVI4Vqjg3lW7rQ6kfv0tFjxOAAAgAElEQVT8N1qQkKCNdL36qnsWbvHxck4YkaqWKYMuQbEPnTvL+557zncL7QMNFjJeIjtbzqMhgrOrOKEcPQpLfnPvi/Ll8Tdsp22dH3+U0aoOHfSbz1YUVd25E7UO5t1KlSohr3/qlGPbzM5GZ9Do0ZY+QmKo4Zdf5j52wdHXIQT4iRPa+154Abd/9hmiiUSwCHAH5ilYkXJzhYjJysJ7Krbbtq3z7eO2SElBUbR5B9KIEZautf7E7t1y9llEBNzG3c3mzdrfSdeuaOtXFFX99ls5FqNkSfcM62Ucg4WMm7HmKHr3Lk604kfy5puoc/jyS8sUQ+HCKDKz14ck0Fm7VqYpnnhC/yumzEykYWJjLVNFjz+O4kRHTdoUBWJ50iTrJ/latRAZ2rfP+fC5mJxsPmlYpFI3bJCFsbkNmMwLDx/K9+1//7PP2ddeEhJk5xURXoc76lESEmBkaTqvy986kKwhZmmJYtwqVZC+8xQPH+J3IIzyChSA63RWForta9WSn8fbb3veG4iRsJBxI9YcRWNicDHNZ5vb3YeEYAWwdKnjBngMVnCi7dTXjPOcISUFdRfmdVJiLtacOejmcpQrV7DKbN1aOyVYpDvj4lBgmZd0nShgnz5d3paaKr/vN25IUT9zpuPbz4316+XrcGVNw/798AUSJ7ilS123bYGtDqQZM/yrA8kayclaM9CePb038+3YMTgxmy4g9u+H0Hn9dXl7w4aujWgy9sNCxk0sW2a7yNDWpUkTHMz9eZXlKU6elCeakiX9r3bg9m2c0ExbUEXtS/fu+P7lRQTfvQvDxJ49cYI2jw466nYrTO9GjZK37dmD24oXh7goXRrXd+50fH9zIy7O9dGeuXNlaqFKFddbHBw4gEnNpoubxx9HB1IgOM0ePYoJ80QQ1l9/7f3CWqNRVWfNkv5eQUEwvUxORp2jWDhFRsKx2tv7G2iwkHEDolvCHvFSqRIcSFnJu57r1+GpQoQ2TWdm+PgyFy6g2FlMVDYVHoMGoWA8LymPtDSkhAYPRsGx6bZDQxEZmjUr58nfwuiuWzd526xZuK11a6RNxDadHQVgjqJIf6XVq53fXmamtkOuUyfXDRi01YHUtq1/diDZYv58GYEqW9a7QzWtcesWiqpNI5YrV6L7sHlzeXu/ft6LIAUiLGTcgL3+FZ99FjgHKG9x7548wISGYlXrrygKHGrffttSSJcujaLUvJrkZWcjYvL225YToQ0GRIamTMHMG1PWrsVj6taVt4koyejRcFgVgt7VHDuGbYeHO5+KuXkT7sniNX/0kWtq1rKy0PFUv77ctuhAOnTI+e3rhbQ07fTytm19u75t40Ztd2G3bqhznDRJpn0rVECam3E/LGTcgL2OokRIf3TujG6k336DjwYX9bqWtDT4qoiT7rRp3t4j92M0QlAPHizD4eJSvTocpPM6zkBR0Co+ebI0sjO91KyJwtc9e6SYKFRICihhPjZvnqwxaNbM9YWyn32GbXfo4Nx2du+W6a9ChTD/yllSUwOzA8ka589LIWcwIEKtBxO/1FR8z0VdWWQk/GV27JCfa3AwrAb08Hr0DAsZN2BvRMbWJX9+VX3ySaxQZszArCUOUzpHdjYmHYv3+L33Aicalp6OPH6vXohOmH7XGjfGCdUZL5lr11Db1batZbGwMBgjQmGvosgBf6ZF7yJM7ypfF1WVEZQZM/K+jVmz5EiJGjUcb3s3JyEBJ2rzDqQJEwKzNm7VKjkbLjpaVTdt8vYeOc7Ro9patYYNkcbu00fe1rKl/XOgGMdhIeMG7HUUTUhQ1T//RITglVfwAzA/0ZheKlRACPOjj2DSdO4cR28cQVEQ+hXv54AB+jTOc4b79zGBuU0bbTFpcLCqtm+vqj//7Jzr7717iEj27i0HJpoLJ1vfb1ea1CUmyteXlynP6enaVEf37s7V8Fy4gPoa0w6kChUCowPJGllZ8MoS70WTJuie0ytGo6p+/70UZUFBGGg5fbosmo+Odk00j7GEhYybEF1L5mImt4N1VhbMwxYvRtSgY0e4S9o6+BcsiNXA66/jh7R7t2fs5/XMnDkyj92xo36N85zlxg34Yph7yUREYDW5Zo1zQi89XbY/23tx1dgAkd6tXdvxv712TQougwGpgbxG7w4etN6BtHhxYHQgWePGDVV95hn5fowc6T8eLDdvaiMx5crB68l0uGtcXGCOk3EnLGTciDUfmbw6it65g+6FqVMRSahf33KKsunJoHJl1IVMnIhVwKVLgZNKsYc1a+Tq+MknER0LZE6fRqTPvJA3OhoDTHfsyHv0r39/bMt0KGpulwYNMGtqzBgYRf7yCwqDjx3DZ5XbvojOknffdWxft2+XKa+iRWHY5yiKAt+dNm20r6ltW7yGQP4dbtsm39+CBVEX6I+sX6+tf+rUSStwatd2fdt+IGNQVVUlxm0YjUQ7dhDdvElUqhRRs2ZEwcGu2XZWFtHp00RHjhAdPiwvt25Zf3zhwkR16hDVrSsvtWoR5c/vmv3RG7t3E3XqRHT3LlG1akQbNxKVL+/tvfIuqkq0fz/RggVEixcTxcfL+x59lKhvX6LYWKLate3f5ocfEn38MdGQIUQHD2L7zpIvH1FMDFHJkvJfcSlWjKhfPzxu3TqiDh2IDIact6eqRDNmEL31FlF2Nn4nK1YQVaxo/z5lZxMtXUo0ZQrRoUO4LTiYqHdvorffJqpfP2+v1R9QFKLPPyd6/338/7HH8F5VrertPXMfDx8STZxI9OWXOA8ULEjUvDnRP/8Q3blDFB5O9NVXREOH5v79ZHKGhYwfcvs2BI2pwDl5EsLHnKAgoipVtOKmTh2ismUD48d18iRR+/ZEV65AaG7ciNfP4MS8bRvRwoVEy5cTPXgg76tTB4KmTx+iRx7JeTtz5xINHEjUpg3R0aO2hbYpY8cSRUXhsaaX+HiixETHXkdEhHXBI24rXJho/Hii7dvx+D59iGbPJipQwL7tP3xI9NNPRP/9L9HFi/I5X30VwqhCBcf219+4e5fopZcgKomIXn6ZaObMwFlAHTlC9NprEDBEWBBkZmJxS0TUrRu+b9HR3ttHvcNCJkDIzMRJ21zgJCRYf3xUlGX0pmZNrCL8jevXIWaOHSMqVIho1SqiFi28vVe+RVoa0Zo1EDXr12tF8TPPQNT07InvjTl//YX3s3hx+X0zGBAFMcdggIi+eNF25DIzE2LdVNyYip2lS517rVWqQNSaih1zAVS8ONH9+4jiTJ8uxVWxYkTDhxMNG4b/Bzr79+N7cfkyUVgY3q9BgwJjkWSKohD98AMEenIyFpAGAyI1RERlyhD98gsfd/IKC5kARlVx4DcXN6dOyR+YKcHBSMGYipu6dXFg1/uBKSmJqGtXrMpDQ5Fa6dnT23vlm9y9C7GwcCFEiiAkBGmc2Fik7MSK+8oVrEIF0dHYBpFWzIjv0NKlRN27533/6tRB5GfBAnym8fGWYufWLaJFi7RRJmcJDyd67z2ko0xFUHQ0TlyBhKoSff890ciREJ6VKuFzrVfP23vmXW7exHuyZInlfQYDvj/jx+O3xNgPCxnGgvR0ohMnLGtvxMnHnGLFLMVNjRoQBHoiPR0n4eXLcVCZPp0oLs7be+XbXL0KQbBwIb4jgshIiJHYWKwyIyNlFOe557Aqf/NNomvX5N+UK0f09dfOiRghmoKCEP2xFiFSVaKpU1G3oihEDRoQLVuGFJM1wSNu27Ahb/sUHGy7nsf8tkKF9L8oSElBKmXhQlzv1g2ptyJFvLtfvsT69YjaXb5seV/jxnjvAj0l6QgsZBi7UFWkYMyjN2fO4GRgTr58EDPmAqdECc/vuyMYjUgNfPcdro8bh0JVvZ9cPMHx44iCLFyoPUDHxGiLhv/zH6LJk91TCP/ddzhBNG2KbZuTmoralcWLcf3ll/E3ERHWt6eqRFu3ooD399/l7fXqoe6jVi3bEZ/4eBR1OkJ4uH2CJybGN2tMTp4k6tED/wYHo8B31Cj+/VgjNZVowgQU/JpHwAsVQkSrb1/v7JveYCHDOMXDhziBmQuc+/etPz4mxlLcVKvmW6FUVcWJ9oMPcH3QIOS38+Xz7n7pBUVBR9iCBQihmxfn1qhBtHKlezpWnnsOq93PPiN6913tfefPEz3/PNJO+fIh+jNsmPWTbHY2ojRTpqDTighRnhdecKwDKSsr53oe09uSkx17rYUKWQoeawKoRAnP/L4WLkRnWmoqhOmSJRCUTM4cPoz3be9ey/sGDEBkODLS47ulK1jIMC5HVRHiNxc3585ZL/AMDUUhsbnA8XYV/+zZCJErCk6QS5b45irYl8nKItq8GTUz5jRsiDbpPn1w4nOWhw/xnUlPh1gxbRHfuBGr26QknOx/+w0RIGvbsNaB9MoriCy4M9z/8GHO0R3T6+npjm07Ojp3wRMTgzSxo/U8GRl4b2bOxPVnn4WoiYlxbDuBjNGICMx771nWbVWpgvRtgwbe2Tc9wEKG8RgpKegMMhU4R47YLrgsXdpS3FSp4tnIyOrVWIWnpyN3vXat9wWWHhk0CAKBiKhtW6RrRDg9KAgnv9hYREwKF87bc6xdS9S5M2pkLl6UnVGffgr/ElUlevJJRFrKlNH+bWKi7EAS6aDoaKQZ4+J8qwNJVRG9sUfw3L6N6JK9BAcjgmNL8JheL1wYKcRevaQ30Pvvo1jVVV5ZgcaNG6gdM++8Cwkh+uQTCMZAKxy3BxYyjFdRFKJLl2TURgicCxesPz48HHUJ5r43RYu6bx937UJE4d49pME2bdJ24TC506uXPDirKk6wS5Zg5b57t3xcWBjESGwsOqDCwux/jtdfx6p22DCIkgcPEJpfvhz3DxlCNG2adpuXLqFGYc4cRESIYIo4Zgy8b/QegVMUFOnnJHbEbbasGOylXDm8Z9YEkN7fR0+zdi0E9JUr2tvbtiWaNw/vKSNhIcP4JMnJSA+YipujR5F/t0a5cpbRm0qVXLcyPHmSqF07dOmULo1UxWOPuWbbgUC7dkgxEVmmFy9cgKBZsACt/4IiRdACHxsLrxpbK1GjEW3zPXvipL1mDSJ3zz+Pzy00lOjbb4kGD5Z/8++/qH9ZskRGhurXJ3rnHWwnEOuhsrIgZnITPNeu2f4d2qJgwdwLmEU9j966Hd1FSgqiW1OnahsqoqOJ5s8n6tjRa7vmc7CQYXSDoqBg07z2xloLIxFWgbVrW0ZvChXK2/NfuwbjvOPHEVZftQqW40zuNGkinU1TU62v0FUVAmPBAtQE3Lgh7ytTRo5HqFtXFuguX27Zxh0djehKWhr+bulSpAVVFU7FU6ZIUUUEx+F33iFq1Yq7a3IjPh6fwx9/4HqjRohe3btnWwClpTn2HFFR9tfzBEIK69Ah1Ort26e9feRIFLU7ErX0V1jIMLonKUlbcyOiN7YKIsuXt4zeVKhgX+753j2iLl2I/v4bB5AFC9BuyuRMmTJSmBw/juLunBBRlgULIERMu+Bq1kSRcFQUwu+2jmA1auCEGx1tvQOpd28ImECegeQI27ejMPvmTYxvmD0b13NCVZHiMxc3tqI9jtTzBAXZX89TpIi+RarRiGLq0aO1rtpVq2JBVb269/bNF2Ahw/glRiPR2bOWtTemK3dTIiORKjIVN489Zr3tMS0NkYEVK3BwnDED9RmMde7cgaW/YO1adIHZS3o6zOgWLMDfZmTY93dlysASfupUWXPlqQ4kf0JVMfjwvffwu6pZE+KyRg3XPo+iaCM7udXzOHLmCg21z5+nZEn7Z2x5g2vXEIEUdV+C2bMDc/SDgIUME1AkJlpGb44ft31yrFTJMnrz6KM46MbFwV+GCN0aEycG7oEkJ7ZuJWrdWl6fNg3dQHnh/n0cxL/9VkZX7MFXO5B8naQkFEyvWoXrsbH4znv7ZJ+dnXM9j+n1pCTHth0ZaX89j7fSOqtXIxJsGsFq1gy3B6KDMgsZJuDJziY6fdoyeiOm05pTqJAcqLl6NQqAibDS//77wCwUzYmvvkJIXPDWW7jNGRYtQnopN4oVI/roI6xWuXPGMQ4eRLfZhQuIaEybhs4vvYn19HT7/XlE55q9FC1qXz1P8eKur+dJScEC6ptvtLdv3w5R4w7nbF+FhQzD2CAhQTtr6sgRzKAyzVFbY9w4FJfWrYtJzno78Lual19Gl0WJEmi77toVzr7O8OefRC1b5v64LVtQxMvYj6oiVTF8OCKV5csjleTvhmyqCnFgj+CJj8/9OGBKUBDETG6Cp2RJiCNHjhkHD1p+Nk2aYIFlmkovWxaix5lZZr4KCxmGcYDMTLQIm0dvbt+2/viiRWX0Rlxq1YIfTqBQrx7eo9deQ1qiTh3tgMm8kJ2NNnhb3icGAw7cFy/67yrUHTx8iHqv+fNxvVMn/N+dPk16RFXtr+e5fduxep6QEPvreUQNn9GIDqb337e9XVdNl/dFWMgwjAu4dQtdBR9/nPtjg4PRbWBee1OqlP9FbzIz5eTrjRvRvh4ZCZ+gvLzW7GzUyEyZQnTggPXH+PMB252cPg0PnWPHEEH45BPMlWInWefIzkbBuz31PPfuObbtAgW04iYzEwXxtvBXgc9ChmFcyPHjOFlfu4YC06lTsVoyjd6YD1EUFCtmGb2pUUPfPhFHjuB1FC6MXL2oU0lIcKzoNi1NzkAy7UBq3hzeM7duyceWK4eBkCxi7GfJEtR4paTgxLh4MVGLFt7eq8AjI8O+ep6bNx2v5zHljz/86/PlskSGcSG1amGkQfv2qKcZPhwFwQMG4H5VhZ+Kee3N6dNYtW3bhosgXz6IGXOBo5eBfP/+i3/r1IHwKF0ar//iRfuETGIiIl3Tp8s0UlSU7EAqXjywihpdTWYmoi7TpuF68+YopHbFEE/GccLCiB55BJfcsFbPs2WLffVnthoZ9AoLGYZxMeXK4cTatSuM89q2xcnh+ecR2i1TBhdTi/G0NERzzGtvkpJg7nf0KHxUBDExluKmenXk130JUQtTty7+rVABQubCBbjC2uLyZXQ2zZ6tnYE0ejTm+Zi2/wYH+9fq0lNcuQJTwD17cH3sWKRGuetOH0RG4lKpkrytVi37hIy/CVX+yjKMG4iKgg1+377w4OjZE8Z5Q4daf3xEBFHDhrgIVBWdB+bRm7NnsRL7/XdcBCEhMCszr73xpm+KuZCpWJFo505EZGw9/osvkNoQM5Dq1YMDb69efJJ1FZs2wRMmMRG+I/PnY1gno2+aNUMNzPXr1guMRY1Ms2ae3zd3wocFhnETEREoOI2LI5o1C90gN24QTZhgX6GrwSDDzKYnmdRUFGSaipsjR1BAK24zpXRpOWdKiJuqVd0vClRV7ku9evhXuOmaTjdXVeTsp0zBCVbQujUETOvW/lcE7S2MRhg3fvwx3vfHH8d3lF2O/YPgYLRY9+yJ34ypmBG/oa+/9r/UKxf7MoybUVWcPMaPx/XBg1H34UohoapEly5ZRm/On7f++PBwhKHN01OubLO9cQMptKAg5PMjIojmzUO9UOvW6GISHUj79+NvgoIQeXn7bf/3LfE0CQkwEdyyBdeHDkUxeiBZAQQK1oap+nMRPAsZhvEQP/xANGwYxht06YL0SUSEe5/zwQPU15hHb1JTrT++XDlLcVO5suMrOKMR83nGjkVE6cIFbGP7djkxvGJFbQfSoEGYgVSxYt5fL2OdXbtQD3P9OjrHfviBqH9/b+8V404CqQiehQzDeJCVKzExOCOD6KmniNasQT2NJ1EUCAjz6M2lS9YfHxGBAZqmAqdOHbRUW8PaarBsWaJJk1Af87//ydujoojeeAMX08GSjGtQVazC33kHfibVqmESeK1a3t4zhnEdLGQYxsP8/TdqXpKS0Fq9aRMiId7m/n3ZLSUux46ho8oa5ctb1t78+y9W/vYcVUaPRr2QtwcQ+iv37yPKJSYlv/ACRGTBgt7dL4ZxNSxkGMYLHDsGr5nr11FHsmmTb66SjUaic+csozdiUKY55gWG5oSEyBk127bZNy+JcZzDh1Hwee4c3vOpU5HW5KJpxh9hIcMwXuLqVaJ27YhOnkQL7OrV+mmLvHvXMnpz9Kh9g/QaNSLat49ozhxEDBjX8tNPEC3p6ahP+u03oiee8PZeMYz74CkaDOMlypVDmumpp5BmatPG+anQniIqCiZ0b75J9OOPmHv044/2/W2hQvjXtAWbcZ60NIwZGDQIIqZDB0xGZhHD+DssZBjGi0RFoR22SxcUAPfogY4SPVK2rH2Pq1wZ/9oyxWMc59w5oiZNICaDglBYvXYt5n0xjL/DQoZhvExEBDpJBg9GR9HQofCc0VvSV7iK2qrDMBgQhRJ1MRyRcQ3Ll8Nz5/BhdH5t3kw0bhxPrWYCB/6qM4wPkC8fIjEffojrEyZA0GRne3e/HEG4ihJZihlTV9EqVfB/jsg4R1YWOr969ICrc9OmRIcOEbVq5e09YxjPwkKGYXwEgwEC5rvv8P9Zs9B5Yqv92Rfp3h2W92XKaG8vWxa3d+8u7fDj420b8zE5c/06IltffYXrY8agC8z8fWeYQIC7lhjGB1m+HHbyGRlETz+NjiZPG+c5Q26uokWKwOfk2DHfbDv3ZbZswXcjIQGF03PnYrI6wwQqLGQYxkfZsQNFwElJmGq9caNvGOe5gscfRxpkzRqiTp28vTf6QFGIJk8m+ugj1E/Vq4fWalE8zTCBCqeWGMZHadYMYqZMGaITJ9Cmffy4t/fKNVibgs3Y5s4doueeQw2VqhK9+irmJ7GIYRgWMgzj09SujRNW9eqYXdS0KeYV6R0xGJILfnNnzx5EsDZuxKTqn37CqAF3DxxlGL3AQoZhfJxHHoFxXpMmSDO1bk20apW398o5OCKTO6pKNH06InNXr6Lba88eogEDvL1nDONbsJBhGB0QHY0iz86d4dravbt2irTe4IhMzjx4gCnpI0agzbpnT6L9+zGgk2EYLSxkGEYn5M+PbqZXXkHh55AhRBMn6s84j0gbkdHj/ruTY8cwj2rJEvgLTZ2K/4vRDgzDaOGuJYbRGaqKos9Jk3D9tdeIZszQtjf7Ounpssbj9m040jJEP/+MzzMtDd47v/6KIm+GYWzDERmG0RkGA9HHH0O8GAxwBNabcV54uDRv4/QShN1rrxG99BI+xzZtMPCRRQzD5A4LGYbRKcOGwUckLAxTs9u1I7p3z9t7ZT9c8AsuXIBgmTULwvSjj4g2bOAoFcPYCwsZhtExPXoQbdpEVLgwPGeaNUObth7ggl84NjdoAHPA6Gi0WI8fr680IcN4GxYyDKNzmjeHiCldGoZ5Tz0FAz1fJ5AjMtnZRO++S9S1K1rqGzeGmGnb1tt7xjD6g4UMw/gBjz0G47xq1eA50rQprvsygRqRuXkTE6qnTMH1N98k+usv/xk/wTCehoUMw/gJjz4K19/GjVEr06oVUhe+SiBGZP78k6h+faLt24kKFkRb9ddfE4WGenvPGEa/sJBhGD8iOppo61YMYkxPx1Tk2bO9vVfWERGZK1eQavFnFIXo008hLuPjEUHbv5+oVy9v7xnD6B8WMgzjZ+TPT7RiBdGgQTiBDh6Mdm1fc4wqVQodV0Yj0mH+yt27mGL+n//g83j5ZaJ//iGqWtXbe8Yw/gELGYbxQ/LlQyRm3Dhc//BDorg4iAZfISgI6TAi/62T2b8fXUnr1kG0zZ6NoY/583t7zxjGf2AhwzB+isEA999vv8X/v/uOqHdvpJx8BX8t+FVVvN9PP0106RJe5+7dGC9hMHh77xjGv2AhwzB+TlwcikpDQzGrqV07tPz6Av5Y8JuSQvTiizAszMwk6taN6MABFPkyDON6WMgwTADQsyeM8woVQsdMs2ZE1697e6/8LyJz8iTRk08SLVgAU7svv4R4LFLE23vGMP4LCxmGCRBatICIKVUKE5abNMGJ15v4U0Rm0SJMrT5xAu/xH38QjR7NqSSGcTcsZBgmgKhb19I4b/du7+2PP0RkMjKQvuvXjyg1lejZZ+HS26yZt/eMYQIDFjIME2CUL0/0999Igdy9C2+TtWu9sy8iInP7NmpL9MalSxAsM2fi+vvvE23eTBQT49XdYpiAgoUMwwQgxYrBOK9jR6K0NBSkzpnj+f0oUkTWj1y65Pnnd4Z164gef5xo3z6iokVx/eOPeeAjw3gaFjIME6AUKEC0ciXRgAHwl3n1VaLJkz1vnKe39JLRiMhLp04YBdGoEVJJHTt6e88YJjBhIcMwAUxICNGPP8J1lggn6OHDPWucp6eC3/h4TKiePBnX4+IweVwY+zEM43lYyDBMgGMw4MQ8bRr+P2MG0QsveM44Ty8RmR074AWzbRuiWQsXwmwwLMzbe8YwgQ0LGYZhiAiRmMWLYZy3bBlR+/aeMc7z9YiMqsIPpmVLops3iWrWRF1M377e3jOGYYhYyDAMY0Lv3kQbN8I476+/iJ55hujGDfc+py9HZJKSiLp3J3r7baTbYmOJ9u4lqlHD23vGMIyAhQzDMBpatoRxXsmSREePwjjv1Cn3PZ9pRMaXJnQfOoSBjytXIkr13XdEP/+MtBLDML6DQVV96dDBMIyvcOkS5jKdOUMUHQ2vmcaNXf88GRlEEREQMfHxRCVKuP45HEFV0Yr+xhvYt/LliZYuhahhGMb34IgMwzBWEcZ5TzxBlJgIx9p161z/PGFhRGXK4P/erpN5+JBo4ECiwYMhYjp1wsBHFjEM47uwkGEYxibFi6NLp0MHGOd17Ur000+ufx6RXvJmncyZM3A7njePKCiI6NNPiVatIoqK8t4+MQyTOyxkGIbJkQIFcEJ/+WUUvA4aRPTJJ66tZ/F2we9vvxE1bIhhmjExcD0eOxaChmEY34Z/pgzD5EpICCIxY8fi+rhxRCNGuM44z1st2JmZRCNHolvrwQN0aR06hEnhDMPoAxYyDMPYhcGAdMs33+D/335L1KePa4zzvJl2eL4AAAYHSURBVBGRuXqVqHlzvB4ionffRSSmVCnP7QPDMM7DQoZhGIcYMYJo0SK0JC9divqZ+/ed26anIzKbNsGl959/MLRy9Wqizz4jypfPM8/PMIzrYCHDMIzDvPAC0YYNRAULEv35p/PGeSIic/UqUVaWS3bRKkYj0fjxEF+JiZhefeAAUefO7ntOhmHcCwsZhmHyxLPPSuO8I0eInnqK6PTpvG2rZEm0YRuNEDPuICEBAmbCBBQqv/Ya0c6dUkQxDKNPWMgwDJNn6tUj2rWLqEoVosuXiZ5+mmjPHse3ExQE3xoi99TJ7NqFVNLvvxPlz080fz7R998ThYe7/rkYhvEsLGQYhnGKChUQ2WjUSBrnrV/v+HZEZMSVdTKqSjR1Kop6r18nqlYNQuvFF133HAzDeBcWMgzDOI0wzmvfHu64XboQzZ3r2DZcbYqXnEzUqxfRqFFE2dmo69m3j6h2bddsn2EY34CFDMMwLiEyEt0/L72EWpeBA9Guba9xnitbsI8cgcHdsmXwwJk+HZ1WBQs6v22GYXwLFjIMw7iMkBBEYt55B9f/8x+iN98kUpTc/9ZVLdhz52LUwNmzROXKEe3YgQGQBoNz22UYxjdhIcMwjEsxGIg+/xy1KUSIhvTtiyGMOeFsRCYtjejVVxEJSk9HmuvQIYgahmH8F4OqunJiCsMwjGTxYqSasrKIWrYkWrGCqHBh64+9fx/mdEQYFxAZaf/znDtH1LMn0eHDEFITJyIaxLOSGMb/4Z85wzBuo08faZz3xx/oHrp50/pjCxeWk6YdicqsWEHUoAFETPHiRJs3E73/PosYhgkU+KfOMIxbadWK6K+/MFX68GEY5505Y/2xjtTJZGURjRlD1L07OpSefhqppNatXbfvDMP4PixkGIZxO/Xrw5SucmWiS5cgOvbutXycvS3Y168jVfXf/+L66NGI+JQp49LdZhhGB7CQYRjGI1SsCOO8hg2J7tyBENmwwfIxRDkLma1bIYx27iQqVAgt1l9+iY4phmECDxYyDMN4jBIlEDlp1w7GeZ07E82bJ+/PKbWkKESTJhG1aYO5SXXrYuBj9+6e2XeGYXwTFjIMw3gUYZzXvz+M8wYMQLu2qhI9+ige8++/mKptNOJ6YiJRp05EH3yAx73yCtHu3UhVMQwT2HD7NcMwXkFRiMaOJfriC1x/7jlEWG7dko8pW5YoLo5o5kxMxQ4Px/8HDvTOPjMM43uwkGEYxqtMnYp5SLlRuTLqYerUcf8+MQyjH1jIMAzjVYxG1M7cvWv7MRERRNeuSZ8ZhmEYAdfIMAzjVXbsyFnEEGH8wJEjntkfhmH0BQsZhmG8ii2n37w+jmGYwIKFDMMwXqVUKdc+jmGYwIJrZBiG8SpGI1H58nDrtXY0MhjQvXTxIlFwsMd3j2EYH4cjMgzDeJXgYKJvvsH/DQbtfeL611+ziGEYxjosZBiG8TrduxMtXWo5K6lsWdzO7r0Mw9iCU0sMw/gMRiO6mG7eRE1Ms2YciWEYJmdYyDAMwzAMo1s4tcQwDMMwjG5hIcMwDMMwjG5hIcMwDMMwjG5hIcMwDMMwjG5hIcMwDMMwjG5hIcMwDMMwjG5hIcMwDMMwjG5hIcMwDMMwjG5hIcMwDMMwjG5hIcMwDMMwjG5hIcMwDMMwjG5hIcMwDMMwjG5hIcMwDMMwjG5hIcMwDMMwjG5hIcMwDMMwjG5hIcMwDMMwjG5hIcMwDMMwjG5hIcMwDMMwjG5hIcMwDMMwjG5hIcMwDMMwjG5hIcMwDMMwjG5hIcMwDMMwjG5hIcMwDMMwjG5hIcMwDMMwjG5hIcMwDMMwjG5hIcMwDMMwjG5hIcMwDMMwjG5hIcMwDMMwjG5hIcMwDMMwjG5hIcMwDMMwjG5hIcMwDMMwjG5hIcMwDMMwjG5hIcMwDMMwjG5hIcMwDMMwjG5hIcMwDMMwjG5hIcMwDMMwjG5hIcMwDMMwjG5hIcMwDMMwjG5hIcMwDMMwjG5hIcMwDMMwjG5hIcMwDMMwjG5hIcMwDMMwjG5hIcMwDMMwjG5hIcMwDMMwjG75P2kg6h0o1iSPAAAAAElFTkSuQmCC", "text/plain": [ "PyPlot.Figure(PyObject
)" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "1-element Array{PyCall.PyObject,1}:\n", " PyObject " ] }, "execution_count": 38, "metadata": {}, "output_type": "execute_result" } ], "source": [ "x = E.vectors[:,11]\n", "y = E.vectors[:,12]\n", "pygui(false)\n", "plot_graph(M, x, y; setaxis=false)" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "ExecuteTime": { "end_time": "2018-08-29T13:10:02.010000-04:00", "start_time": "2018-08-29T17:10:01.998Z" }, "collapsed": true }, "outputs": [], "source": [ "x = E.vectors[:,11]\n", "y = E.vectors[:,12]\n", "z = E.vectors[:,10]\n", "pygui(true)\n", "plot_graph(M, x, y, z; setaxis=false)" ] }, { "cell_type": "code", "execution_count": 39, "metadata": { "collapsed": true }, "outputs": [], "source": [ "n = 5;\n", "g = grid3(4,5,6);\n", "E = eigen(Matrix(lap(g)));" ] }, { "cell_type": "code", "execution_count": 40, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "1-element Array{PyCall.PyObject,1}:\n", " PyObject " ] }, "execution_count": 40, "metadata": {}, "output_type": "execute_result" } ], "source": [ "x = E.vectors[:,2]\n", "y = E.vectors[:,3]\n", "z = E.vectors[:,4]\n", "pygui(true)\n", "plot_graph(g, x, y, z; setaxis=false)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Spectral Clustering #" ] }, { "cell_type": "code", "execution_count": 41, "metadata": { "collapsed": true }, "outputs": [], "source": [ "n = 10;\n", "p = 0.7;\n", "q = 0.2;" ] }, { "cell_type": "code", "execution_count": 42, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "10×10 Array{Int64,2}:\n", " 0 0 0 0 0 0 0 0 0 0\n", " 0 0 1 1 0 0 1 0 0 0\n", " 0 0 0 0 0 0 0 1 0 0\n", " 0 0 0 0 0 0 0 1 0 1\n", " 1 0 0 1 0 0 0 0 0 0\n", " 0 0 0 0 0 0 0 1 0 1\n", " 1 0 0 0 0 0 0 0 0 0\n", " 1 0 0 1 0 0 1 0 0 1\n", " 0 0 0 0 0 1 0 0 0 0\n", " 0 1 0 0 0 0 0 0 0 1" ] }, "execution_count": 42, "metadata": {}, "output_type": "execute_result" } ], "source": [ "B = convert.(Int64, rand(n,n) .< q)" ] }, { "cell_type": "code", "execution_count": 43, "metadata": { "collapsed": true }, "outputs": [], "source": [ "A = convert.(Int64, rand(n,n) .< p);\n", "triu!(A,1); # Take the upper trianguar part, above the first diagonal\n", "A += A'; # Copy the upper triangular part to lower triangular\n", "\n", "C = convert.(Int64, rand(n,n) .< p);\n", "triu!(C,1);\n", "C += C';" ] }, { "cell_type": "code", "execution_count": 44, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "20×20 SparseMatrixCSC{Int64,Int64} with 166 stored entries:\n", " [3 , 1] = 1\n", " [5 , 1] = 1\n", " [6 , 1] = 1\n", " [8 , 1] = 1\n", " [9 , 1] = 1\n", " [10, 1] = 1\n", " [4 , 2] = 1\n", " [5 , 2] = 1\n", " [6 , 2] = 1\n", " [8 , 2] = 1\n", " [9 , 2] = 1\n", " [10, 2] = 1\n", " ⋮\n", " [20, 19] = 1\n", " [4 , 20] = 1\n", " [6 , 20] = 1\n", " [8 , 20] = 1\n", " [10, 20] = 1\n", " [12, 20] = 1\n", " [13, 20] = 1\n", " [14, 20] = 1\n", " [16, 20] = 1\n", " [17, 20] = 1\n", " [18, 20] = 1\n", " [19, 20] = 1" ] }, "execution_count": 44, "metadata": {}, "output_type": "execute_result" } ], "source": [ "G = sparse([A B; B' C])" ] }, { "cell_type": "code", "execution_count": 45, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "PyPlot.Figure(PyObject
)" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "1-element Array{PyCall.PyObject,1}:\n", " PyObject " ] }, "execution_count": 45, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pygui(false)\n", "plot_graph(G, rand(2*n), rand(2*n))" ] }, { "cell_type": "code", "execution_count": 46, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "PyPlot.Figure(PyObject
)" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "1-element Array{PyCall.PyObject,1}:\n", " PyObject " ] }, "execution_count": 46, "metadata": {}, "output_type": "execute_result" } ], "source": [ "L = lap(G);\n", "E = eigen(Matrix(L));\n", "plot_graph(G, E.vectors[:,2], E.vectors[:,3]; number=true)" ] }, { "cell_type": "code", "execution_count": 47, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "20×20 SparseMatrixCSC{Float64,Int64} with 20 stored entries:\n", " [1 , 1] = 0.408248\n", " [2 , 2] = 0.333333\n", " [3 , 3] = 0.377964\n", " [4 , 4] = 0.353553\n", " [5 , 5] = 0.316228\n", " [6 , 6] = 0.353553\n", " [7 , 7] = 0.377964\n", " [8 , 8] = 0.288675\n", " [9 , 9] = 0.353553\n", " [10, 10] = 0.333333\n", " [11, 11] = 0.353553\n", " [12, 12] = 0.447214\n", " [13, 13] = 0.316228\n", " [14, 14] = 0.316228\n", " [15, 15] = 0.5\n", " [16, 16] = 0.333333\n", " [17, 17] = 0.353553\n", " [18, 18] = 0.316228\n", " [19, 19] = 0.377964\n", " [20, 20] = 0.301511" ] }, "execution_count": 47, "metadata": {}, "output_type": "execute_result" } ], "source": [ "d = diag(L);\n", "D_inv_half = spdiagm(0 => Vector(d.^(-0.5)))" ] }, { "cell_type": "code", "execution_count": 48, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[-8.88178e-16, 0.363826, 0.704803, 0.733326, 0.850693, 0.891757, 0.935496, 0.952946, 0.997947, 1.02308, 1.05566, 1.09273, 1.14637, 1.18384, 1.23254, 1.3039, 1.32366, 1.36169, 1.4086, 1.43716]\n" ] } ], "source": [ "N = D_inv_half * L * D_inv_half;\n", "E = eigen(Matrix(N))\n", "println(E.values)" ] }, { "cell_type": "code", "execution_count": 49, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "PyPlot.Figure(PyObject
)" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "1-element Array{PyCall.PyObject,1}:\n", " PyObject " ] }, "execution_count": 49, "metadata": {}, "output_type": "execute_result" } ], "source": [ "plot_graph(G, D_inv_half * E.vectors[:,2], rand(2*n), number=true)" ] }, { "cell_type": "code", "execution_count": 50, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "PyPlot.Figure(PyObject
)" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "1-element Array{PyCall.PyObject,1}:\n", " PyObject " ] }, "execution_count": 50, "metadata": {}, "output_type": "execute_result" } ], "source": [ "plot_graph(G, D_inv_half * E.vectors[:,2], D_inv_half * E.vectors[:,3], number = true)" ] } ], "metadata": { "kernelspec": { "display_name": "Julia 1.0.0", "language": "julia", "name": "julia-1.0" }, "language_info": { "file_extension": ".jl", "mimetype": "application/julia", "name": "julia", "version": "1.0.0" }, "toc": { "base_numbering": 1, "nav_menu": {}, "number_sections": true, "sideBar": true, "skip_h1_title": false, "title_cell": "Table of Contents", "title_sidebar": "Contents", "toc_cell": true, "toc_position": { "height": "calc(100% - 180px)", "left": "10px", "top": "150px", "width": "165px" }, "toc_section_display": true, "toc_window_display": false } }, "nbformat": 4, "nbformat_minor": 2 }