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AICと予測誤差の分布
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{
"cells": [
{
"metadata": {
"toc": true
},
"cell_type": "markdown",
"source": "<h1>Table of Contents<span class=\"tocSkip\"></span></h1>\n<div class=\"toc\"><ul class=\"toc-item\"><li><span><a href=\"#AICと予測誤差の分布\" data-toc-modified-id=\"AICと予測誤差の分布-1\"><span class=\"toc-item-num\">1&nbsp;&nbsp;</span>AICと予測誤差の分布</a></span><ul class=\"toc-item\"><li><span><a href=\"#y-=-a-+-s-Normal()\" data-toc-modified-id=\"y-=-a-+-s-Normal()-1.1\"><span class=\"toc-item-num\">1.1&nbsp;&nbsp;</span>y = a + s Normal()</a></span></li><li><span><a href=\"#y-=-a-+-bx-+-s-Normal()\" data-toc-modified-id=\"y-=-a-+-bx-+-s-Normal()-1.2\"><span class=\"toc-item-num\">1.2&nbsp;&nbsp;</span>y = a + bx + s Normal()</a></span></li><li><span><a href=\"#y-=-a-+-bx-+-cx^2-+-s-Normal()\" data-toc-modified-id=\"y-=-a-+-bx-+-cx^2-+-s-Normal()-1.3\"><span class=\"toc-item-num\">1.3&nbsp;&nbsp;</span>y = a + bx + cx^2 + s Normal()</a></span></li><li><span><a href=\"#y-=-a-+-s-Normal()-vs.-y-=-a-+-bx-+-cx^2-+-s-Normal()\" data-toc-modified-id=\"y-=-a-+-s-Normal()-vs.-y-=-a-+-bx-+-cx^2-+-s-Normal()-1.4\"><span class=\"toc-item-num\">1.4&nbsp;&nbsp;</span>y = a + s Normal() vs. y = a + bx + cx^2 + s Normal()</a></span></li><li><span><a href=\"#y-=-a-+-bx-+-s-Normal()-vs.-y-=-a-+-bx-+-cx^2-+-s-Normal()\" data-toc-modified-id=\"y-=-a-+-bx-+-s-Normal()-vs.-y-=-a-+-bx-+-cx^2-+-s-Normal()-1.5\"><span class=\"toc-item-num\">1.5&nbsp;&nbsp;</span>y = a + bx + s Normal() vs. y = a + bx + cx^2 + s Normal()</a></span></li></ul></li></ul></div>"
},
{
"metadata": {},
"cell_type": "markdown",
"source": "# AICと予測誤差の分布\n\n黒木玄\n\n2018-03-09, 2018-03-22\n\n* Copyright 2018 Gen Kuroki\n* License: MIT https://opensource.org/licenses/MIT"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "using Distributions\nusing QuadGK\nusing HCubature\nusing PyPlot\n\nsafemult(x,y) = x == 0 ? zero(x) : x*y\nxlogy(x,y) = safemult(x, log(y))",
"execution_count": 1,
"outputs": [
{
"output_type": "execute_result",
"execution_count": 1,
"data": {
"text/plain": "xlogy (generic function with 1 method)"
},
"metadata": {}
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "## y = a + s Normal()"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "srand(4649)\n\nn = 2^5\nxmax = 5\nX = linspace(0, xmax, n)\na0 = 2.0\ns0 = 0.7\nY = a0 + s0*randn(n)\nd = fit(Normal, Y)\n\nscatter(X, Y, s=10, color=\"red\", alpha=0.5)\nplot(X, fill(a0,n), color=\"black\", lw=1, label=\"true\")\nplot(X, fill(d.μ,n), label=\"sample mean\")\nlegend()\ngrid()\ntitle(\"n = $n, nparams = 2\")",
"execution_count": 2,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": "PyPlot.Figure(PyObject <Figure size 640x480 with 1 Axes>)",
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"
},
"metadata": {}
},
{
"output_type": "execute_result",
"execution_count": 2,
"data": {
"text/plain": "PyObject Text(0.5,1,'n = 32, nparams = 2')"
},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "function sim_normal(n, a0, s0; xmax=5.0, niters = 10)\n aic = zeros(niters)\n aic0 = zeros(niters)\n gl = zeros(niters)\n kl = zeros(niters)\n d0 = Normal(a0, s0)\n q(y) = pdf(d0, y)\n logq(y) = logpdf(d0, y)\n fq(y) = -safemult(q(y), logq(y))\n Sq = 2n*quadgk(fq, -10, 10)[1]\n X = linspace(0, xmax, n)\n for i in 1:niters\n Y = a0 + s0*randn(n)\n d = fit(Normal, Y)\n p(y) = pdf(d, y)\n logp(y) = logpdf(d, y)\n aic[i] = -2*sum(log.(p.(Y))) + 4\n l0 = -2*sum(log.(q.(Y)))\n aic0[i] = aic[i] - l0\n f(y) = - safemult(q(y), logp(y))\n gl[i] = 2n*quadgk(f, -10, 10)[1]\n kl[i] = gl[i] - Sq\n end\n aic, aic0, gl, kl\nend",
"execution_count": 3,
"outputs": [
{
"output_type": "execute_result",
"execution_count": 3,
"data": {
"text/plain": "sim_normal (generic function with 1 method)"
},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "aic, aic0, gl, kl = sim_normal(n, a0, s0)\n@show aic\n@show gl\n@show aic0\n@show kl\n@show kl+aic0;",
"execution_count": 4,
"outputs": [
{
"output_type": "stream",
"text": "aic = [69.7451, 79.6746, 64.3484, 70.4444, 61.368, 72.8694, 68.6989, 69.8927, 80.6772, 61.4643]\ngl = [74.4051, 70.404, 69.2657, 68.0797, 70.9497, 68.1688, 68.7074, 68.4299, 70.9236, 79.8835]\naic0 = [-1.98799, 1.00729, 2.92666, 3.909, 1.70683, 3.81106, 3.34253, 3.5817, 0.266757, -4.72597]\nkl = [6.42022, 2.41916, 1.28084, 0.094875, 2.96485, 0.183898, 0.722487, 0.445019, 2.93871, 11.8986]\nkl + aic0 = [4.43223, 3.42645, 4.2075, 4.00388, 4.67167, 3.99496, 4.06502, 4.02672, 3.20547, 7.17263]\n",
"name": "stdout"
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "@show n = 2^10\n@time aic, aic0, gl, kl = sim_normal(n, a0, s0; niters=10000)\n@show mean(kl), std(kl)\n@show mean(aic0), std(aic0)\n@show mean(kl+aic0), std(kl+aic0)\n@show cor(kl, aic0);\n\nsleep(0.1)\nfigure(figsize=(8,3))\nsubplot(121)\nplt[:hist](kl, normed=true, bins=100, range=(0,20))\nx = linspace(0,20,201)\nplot(x, pdf.(Chisq(2), x), label=\"\\$\\\\chi^2(2)\\$\")\ngrid(ls=\":\")\nlegend()\ntitle(\"KL divergences (n=$n)\")\nsubplot(122)\nplt[:hist](aic0, normed=true, bins=100, range=(4-20, 4))\nx = linspace(4-20, 4, 201)\nplot(x, pdf.(Chisq(2), 4-x), label=\"\\$4 - \\\\chi^2(2)\\$\")\ngrid(ls=\":\")\nlegend()\ntitle(\"\\$AIC - L_n(w_0)\\$ (n=$n)\")\n\nfigure(figsize=(8,3))\nsubplot(121)\nplt[:hist](kl - aic0, normed=true, bins=100, range=(-6,25))\nx = linspace(-6, 25, 201)\nplot(x, pdf.(Chisq(2), (x+4)/2)/2, label=\"\\$2\\\\chi^2(2) - 4\\$\")\ngrid(ls=\":\")\nlegend()\ntitle(\"\\$KL - (AIC - L_n(w_0))\\$ (n=$n)\")\nsubplot(122)\nplt[:hist](kl + aic0, normed=true, bins=100, range=(0,8))\ngrid(ls=\":\")\ntitle(\"\\$KL + (AIC - L_n(w_0))\\$ (n=$n)\")",
"execution_count": 5,
"outputs": [
{
"output_type": "stream",
"text": "n = 2 ^ 10 = 1024\n 6.532784 seconds (76.73 M allocations: 1.548 GiB, 2.18% gc time)\n(mean(kl), std(kl)) = (2.0073802125454154, 1.9871536667061571)\n(mean(aic0), std(aic0)) = (1.9994387207308253, 1.9709516355849597)\n(mean(kl + aic0), std(kl + aic0)) = (4.00681893327624, 0.1600829522723606)\ncor(kl, aic0) = -0.9967619681732636\n",
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"text/plain": "PyPlot.Figure(PyObject <Figure size 800x300 with 2 Axes>)",
"image/png": 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"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": "PyPlot.Figure(PyObject <Figure size 800x300 with 2 Axes>)",
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"
},
"metadata": {}
},
{
"output_type": "execute_result",
"execution_count": 5,
"data": {
"text/plain": "PyObject Text(0.5,1,'$KL + (AIC - L_n(w_0))$ (n=1024)')"
},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "@show n = 2^5\n@time aic, aic0, gl, kl = sim_normal(n, a0, s0; niters=10000)\n@show mean(kl), std(kl)\n@show mean(aic0), std(aic0)\n@show mean(kl+aic0), std(kl+aic0)\n@show cor(kl, aic0);\n\nsleep(0.1)\nfigure(figsize=(8,3))\nsubplot(121)\nplt[:hist](kl, normed=true, bins=100, range=(0,20))\nx = linspace(0,20,201)\nplot(x, pdf.(Chisq(2), x), label=\"\\$\\\\chi^2(2)\\$\")\ngrid(ls=\":\")\nlegend()\ntitle(\"KL divergences (n=$n)\")\nsubplot(122)\nplt[:hist](aic0, normed=true, bins=100, range=(4-20, 4))\nx = linspace(4-20, 4, 201)\nplot(x, pdf.(Chisq(2), 4-x), label=\"\\$4 - \\\\chi^2(2)\\$\")\ngrid(ls=\":\")\nlegend()\ntitle(\"\\$AIC - L_n(w_0)\\$ (n=$n)\")\n\nfigure(figsize=(8,3))\nsubplot(121)\nplt[:hist](kl - aic0, normed=true, bins=100, range=(-6,25))\nx = linspace(-6, 25, 201)\nplot(x, pdf.(Chisq(2), (x+4)/2)/2, label=\"\\$2\\\\chi^2(2) - 4\\$\")\ngrid(ls=\":\")\nlegend()\ntitle(\"\\$KL - (AIC - L_n(w_0))\\$ (n=$n)\")\nsubplot(122)\nplt[:hist](kl + aic0, normed=true, bins=100, range=(4-10, 4+10))\ngrid(ls=\":\")\ntitle(\"\\$KL + (AIC - L_n(w_0))\\$ (n=$n)\")",
"execution_count": 6,
"outputs": [
{
"output_type": "stream",
"text": "n = 2 ^ 5 = 32\n 1.054289 seconds (27.07 M allocations: 449.613 MiB, 3.66% gc time)\n(mean(kl), std(kl)) = (2.4041372900806546, 3.0437767948814307)\n(mean(aic0), std(aic0)) = (1.8974137297711204, 2.1081137218109056)\n(mean(kl + aic0), std(kl + aic0)) = (4.301551019851774, 1.4063017354475207)\ncor(kl, aic0) = -0.9141122682493693\n",
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"text/plain": "PyPlot.Figure(PyObject <Figure size 800x300 with 2 Axes>)",
"image/png": 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"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": "PyPlot.Figure(PyObject <Figure size 800x300 with 2 Axes>)",
"image/png": 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"
},
"metadata": {}
},
{
"output_type": "execute_result",
"execution_count": 6,
"data": {
"text/plain": "PyObject Text(0.5,1,'$KL + (AIC - L_n(w_0))$ (n=32)')"
},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "@show n = 2^4\n@time aic, aic0, gl, kl = sim_normal(n, a0, s0; niters=10000)\n@show mean(kl), std(kl)\n@show mean(aic0), std(aic0)\n@show mean(kl+aic0), std(kl+aic0)\n@show cor(kl, aic0);\n\nsleep(0.1)\nfigure(figsize=(8,3))\nsubplot(121)\nplt[:hist](kl, normed=true, bins=100, range=(0,20))\nx = linspace(0,20,201)\nplot(x, pdf.(Chisq(2), x), label=\"\\$\\\\chi^2(2)\\$\")\ngrid(ls=\":\")\nlegend()\ntitle(\"KL divergences (n=$n)\")\nsubplot(122)\nplt[:hist](aic0, normed=true, bins=100, range=(4-20, 4))\nx = linspace(4-20, 4, 201)\nplot(x, pdf.(Chisq(2), 4-x), label=\"\\$4 - \\\\chi^2(2)\\$\")\ngrid(ls=\":\")\nlegend()\ntitle(\"\\$AIC - L_n(w_0)\\$ (n=$n)\")\n\nfigure(figsize=(8,3))\nsubplot(121)\nplt[:hist](kl - aic0, normed=true, bins=100, range=(-6,25))\nx = linspace(-6, 25, 201)\nplot(x, pdf.(Chisq(2), (x+4)/2)/2, label=\"\\$2\\\\chi^2(2) - 4\\$\")\ngrid(ls=\":\")\nlegend()\ntitle(\"\\$KL - (AIC - L_n(w_0))\\$ (n=$n)\")\nsubplot(122)\nplt[:hist](kl + aic0, normed=true, bins=100, range=(4-20,4+20))\ngrid(ls=\":\")\ntitle(\"\\$KL + (AIC - L_n(w_0))\\$ (n=$n)\")",
"execution_count": 7,
"outputs": [
{
"output_type": "stream",
"text": "n = 2 ^ 4 = 16\n 1.009542 seconds (26.27 M allocations: 428.325 MiB, 3.71% gc time)\n(mean(kl), std(kl)) = (2.758052575406814, 3.97826218878179)\n(mean(aic0), std(aic0)) = (1.905648440985349, 2.0862488113478492)\n(mean(kl + aic0), std(kl + aic0)) = (4.663701016392162, 2.3771511479423055)\ncor(kl, aic0) = -0.8752276140110625\n",
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"text/plain": "PyPlot.Figure(PyObject <Figure size 800x300 with 2 Axes>)",
"image/png": 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"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": "PyPlot.Figure(PyObject <Figure size 800x300 with 2 Axes>)",
"image/png": 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"
},
"metadata": {}
},
{
"output_type": "execute_result",
"execution_count": 7,
"data": {
"text/plain": "PyObject Text(0.5,1,'$KL + (AIC - L_n(w_0))$ (n=16)')"
},
"metadata": {}
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "## y = a + bx + s Normal()"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "srand(4649)\n\nn = 2^5\nxmax = 5\nX = linspace(0, xmax, n)\na0 = -1.0\nb0 = 0.4\ns0 = 0.5\nY = a0 + b0*X + s0*randn(n)\na, b = linreg(X, Y)\n\nscatter(X, Y, s=10, color=\"red\", alpha=0.5)\nplot(X, a0+b0*X, color=\"black\", lw=1, label=\"true\")\nplot(X, a+b*X, label=\"OLS\")\nlegend()\ngrid()",
"execution_count": 8,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": "PyPlot.Figure(PyObject <Figure size 640x480 with 1 Axes>)",
"image/png": 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"
},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "function sim_ols(n, a0, b0, s0; xmax=5.0, niters = 10)\n aic = zeros(niters)\n aic0 = zeros(niters)\n gl = zeros(niters)\n kl = zeros(niters)\n d0 = Normal(0.0, s0)\n q(x, y) = pdf(d0, y - (a0 + b0*x))/xmax\n logq(x, y) = logpdf(d0, y - (a0 + b0*x)) - log(xmax)\n fq(x) = -safemult(q(x[1], x[2]), logq(x[1], x[2]))\n Sq = 2n*hcubature(fq, [0, -10], [xmax, 10], rtol=1e-4)[1]\n X = linspace(0, xmax, n)\n for i in 1:niters\n Y = a0 + b0*X + s0*randn(n)\n a, b = linreg(X, Y)\n d = fit(Normal, Y - (a + b*X))\n p(x, y) = pdf(d, y - (a + b*x))/xmax\n logp(x, y) = logpdf(d, y - (a + b*x)) - log(xmax)\n aic[i] = -2*sum(log.(p.(X, Y))) + 6\n l0 = -2*sum(log.(q.(X, Y)))\n aic0[i] = aic[i] - l0\n f(x) = -safemult(q(x[1], x[2]), logp(x[1], x[2]))\n gl[i] = 2n*hcubature(f, [0, -10], [xmax, 10], rtol=1e-4)[1]\n kl[i] = gl[i] - Sq\n end\n aic, aic0, gl, kl\nend",
"execution_count": 9,
"outputs": [
{
"output_type": "execute_result",
"execution_count": 9,
"data": {
"text/plain": "sim_ols (generic function with 1 method)"
},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "aic, aic0, gl, kl = sim_ols(n, a0, b0, s0)\n@show aic\n@show gl\n@show aic0\n@show kl\n@show kl+aic0;",
"execution_count": 10,
"outputs": [
{
"output_type": "stream",
"text": "aic = [153.134, 161.475, 147.64, 152.621, 144.377, 156.322, 152.165, 153.047, 163.576, 142.434]\ngl = [155.973, 153.246, 150.953, 150.883, 153.056, 149.655, 150.181, 150.224, 152.836, 165.718]\naic0 = [-0.068548, 1.33741, 4.74868, 4.61629, 3.24593, 5.79338, 5.33928, 5.26635, 1.69604, -5.22626]\nkl = [6.51793, 3.79149, 1.49875, 1.42799, 3.60134, 0.200128, 0.725961, 0.769417, 3.38123, 16.2638]\nkl + aic0 = [6.44938, 5.1289, 6.24743, 6.04428, 6.84726, 5.99351, 6.06524, 6.03577, 5.07727, 11.0375]\n",
"name": "stdout"
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "@show n = 2^10\n@time aic, aic0, gl, kl = sim_ols(n, a0, b0, s0; niters=10000)\n@show mean(kl), std(kl)\n@show mean(aic0), std(aic0)\n@show mean(kl+aic0), std(kl+aic0)\n@show cor(kl, aic0);\n\nsleep(0.1)\nfigure(figsize=(8,3))\nsubplot(121)\nplt[:hist](kl, normed=true, bins=100, range=(0, 20))\nx = linspace(0,20,201)\nplot(x, pdf.(Chisq(3), x), label=\"\\$\\\\chi^2(3)\\$\")\ngrid(ls=\":\")\nlegend()\ntitle(\"KL divergences (n=$n)\")\nsubplot(122)\nplt[:hist](aic0, normed=true, bins=100, range=(6-20, 6))\nx = linspace(6-20, 6, 201)\nplot(x, pdf.(Chisq(3), 6-x), label=\"\\$6 - \\\\chi^2(3)\\$\")\ngrid(ls=\":\")\nlegend()\ntitle(\"\\$AIC - L_n(w_0)\\$ (n=$n)\")\n\nfigure(figsize=(8,3))\nsubplot(121)\nplt[:hist](kl - aic0, normed=true, bins=100, range=(-8,25))\nx = linspace(-8, 25, 201)\nplot(x, pdf.(Chisq(3), (x+6)/2)/2, label=\"\\$2\\\\chi^2(3) - 6\\$\")\ngrid(ls=\":\")\nlegend()\ntitle(\"\\$KL - (AIC - L_n(w_0))\\$ (n=$n)\")\nsubplot(122)\nplt[:hist](kl + aic0, normed=true, bins=100, range=(4,8))\ngrid(ls=\":\")\ntitle(\"\\$KL + (AIC - L_n(w_0))\\$ (n=$n)\")",
"execution_count": 11,
"outputs": [
{
"output_type": "stream",
"text": "n = 2 ^ 10 = 1024\n 16.608758 seconds (447.95 M allocations: 7.624 GiB, 3.32% gc time)\n(mean(kl), std(kl)) = (3.021083791902228, 2.44626649465591)\n(mean(aic0), std(aic0)) = (2.9888855198305477, 2.423608126460925)\n(mean(kl + aic0), std(kl + aic0)) = (6.009969311732776, 0.21470159780099046)\ncor(kl, aic0) = -0.9961557616289375\n",
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"text/plain": "PyPlot.Figure(PyObject <Figure size 800x300 with 2 Axes>)",
"image/png": 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"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": "PyPlot.Figure(PyObject <Figure size 800x300 with 2 Axes>)",
"image/png": 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"
},
"metadata": {}
},
{
"output_type": "execute_result",
"execution_count": 11,
"data": {
"text/plain": "PyObject Text(0.5,1,'$KL + (AIC - L_n(w_0))$ (n=1024)')"
},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "@show n = 2^5\n@time aic, aic0, gl, kl = sim_ols(n, a0, b0, s0; niters=10000)\n@show mean(kl), std(kl)\n@show mean(aic0), std(aic0)\n@show mean(kl+aic0), std(kl+aic0)\n@show cor(kl, aic0);\n\nsleep(0.1)\nfigure(figsize=(8,3))\nsubplot(121)\nplt[:hist](kl, normed=true, bins=100, range=(0, 20))\nx = linspace(0,20,201)\nplot(x, pdf.(Chisq(3), x), label=\"\\$\\\\chi^2(3)\\$\")\ngrid(ls=\":\")\nlegend()\ntitle(\"KL divergences (n=$n)\")\nsubplot(122)\nplt[:hist](aic0, normed=true, bins=100, range=(6-20, 6))\nx = linspace(6-20, 6, 201)\nplot(x, pdf.(Chisq(3), 6-x), label=\"\\$6 - \\\\chi^2(3)\\$\")\ngrid(ls=\":\")\nlegend()\ntitle(\"\\$AIC - L_n(w_0)\\$ (n=$n)\")\n\nfigure(figsize=(8,3))\nsubplot(121)\nplt[:hist](kl - aic0, normed=true, bins=100, range=(-8,25))\nx = linspace(-8, 25, 201)\nplot(x, pdf.(Chisq(3), (x+6)/2)/2, label=\"\\$2\\\\chi^2(3) - 6\\$\")\ngrid(ls=\":\")\nlegend()\ntitle(\"\\$KL - (AIC - L_n(w_0))\\$ (n=$n)\")\nsubplot(122)\nplt[:hist](kl + aic0, normed=true, bins=100, range=(6-15,6+15))\ngrid(ls=\":\")\ntitle(\"\\$KL + (AIC - L_n(w_0))\\$ (n=$n)\")",
"execution_count": 12,
"outputs": [
{
"output_type": "stream",
"text": "n = 2 ^ 5 = 32\n 10.894866 seconds (361.09 M allocations: 5.768 GiB, 4.21% gc time)\n(mean(kl), std(kl)) = (3.696661958975742, 3.913978347288209)\n(mean(aic0), std(aic0)) = (2.8087979504981235, 2.619752169609289)\n(mean(kl + aic0), std(kl + aic0)) = (6.505459909473867, 1.8558445590719885)\ncor(kl, aic0) = -0.9137313510433335\n",
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"text/plain": "PyPlot.Figure(PyObject <Figure size 800x300 with 2 Axes>)",
"image/png": 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"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": "PyPlot.Figure(PyObject <Figure size 800x300 with 2 Axes>)",
"image/png": 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"
},
"metadata": {}
},
{
"output_type": "execute_result",
"execution_count": 12,
"data": {
"text/plain": "PyObject Text(0.5,1,'$KL + (AIC - L_n(w_0))$ (n=32)')"
},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "@show n = 2^4\n@time aic, aic0, gl, kl = sim_ols(n, a0, b0, s0; niters=10000)\n@show mean(kl), std(kl)\n@show mean(aic0), std(aic0)\n@show mean(kl+aic0), std(kl+aic0)\n@show cor(kl, aic0);\n\nsleep(0.1)\nfigure(figsize=(8,3))\nsubplot(121)\nplt[:hist](kl, normed=true, bins=100, range=(0, 20))\nx = linspace(0,20,201)\nplot(x, pdf.(Chisq(3), x), label=\"\\$\\\\chi^2(3)\\$\")\ngrid(ls=\":\")\nlegend()\ntitle(\"KL divergences (n=$n)\")\nsubplot(122)\nplt[:hist](aic0, normed=true, bins=100, range=(6-20, 6))\nx = linspace(6-20, 6, 201)\nplot(x, pdf.(Chisq(3), 6-x), label=\"\\$6 - \\\\chi^2(3)\\$\")\ngrid(ls=\":\")\nlegend()\ntitle(\"\\$AIC - L_n(w_0)\\$ (n=$n)\")\n\nfigure(figsize=(8,3))\nsubplot(121)\nplt[:hist](kl - aic0, normed=true, bins=100, range=(-8,25))\nx = linspace(-8, 25, 201)\nplot(x, pdf.(Chisq(3), (x+6)/2)/2, label=\"\\$2\\\\chi^2(3) - 6\\$\")\ngrid(ls=\":\")\nlegend()\ntitle(\"\\$KL - (AIC - L_n(w_0))\\$ (n=$n)\")\nsubplot(122)\nplt[:hist](kl + aic0, normed=true, bins=100, range=(6-20,6+20))\ngrid(ls=\":\")\ntitle(\"\\$KL + (AIC - L_n(w_0))\\$ (n=$n)\")",
"execution_count": 13,
"outputs": [
{
"output_type": "stream",
"text": "n = 2 ^ 4 = 16\n 11.358576 seconds (381.08 M allocations: 6.078 GiB, 4.27% gc time)\n(mean(kl), std(kl)) = (4.505646173226227, 5.639022136945072)\n(mean(aic0), std(aic0)) = (2.7183524249401825, 2.6794784353861396)\n(mean(kl + aic0), std(kl + aic0)) = (7.223998598166408, 3.5407414844437346)\ncor(kl, aic0) = -0.874982071540573\n",
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"text/plain": "PyPlot.Figure(PyObject <Figure size 800x300 with 2 Axes>)",
"image/png": 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"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": "PyPlot.Figure(PyObject <Figure size 800x300 with 2 Axes>)",
"image/png": 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"
},
"metadata": {}
},
{
"output_type": "execute_result",
"execution_count": 13,
"data": {
"text/plain": "PyObject Text(0.5,1,'$KL + (AIC - L_n(w_0))$ (n=16)')"
},
"metadata": {}
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "## y = a + bx + cx^2 + s Normal()"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "srand(4649)\n\nn = 2^5\nxmax = 5\nX = linspace(0, xmax, n)\na0 = -1.0\nb0 = -2.5\nc0 = 0.4\ns0 = 0.5\nY = a0 + b0*X + c0*X.^2 + s0*randn(n)\nXX = hcat(ones(n), X, X.^2)\na, b, c = (XX'*XX)\\XX'*Y\n\nscatter(X, Y, s=10, color=\"red\", alpha=0.5)\nplot(X, a0+b0*X+c0*X.^2, color=\"black\", lw=1, label=\"true\")\nplot(X, a+b*X+c*X.^2, label=\"least squares\")\nlegend()\ngrid()\ntitle(\"n = $n\")",
"execution_count": 14,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": "PyPlot.Figure(PyObject <Figure size 640x480 with 1 Axes>)",
"image/png": 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"
},
"metadata": {}
},
{
"output_type": "execute_result",
"execution_count": 14,
"data": {
"text/plain": "PyObject Text(0.5,1,'n = 32')"
},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "function sim_ols2(n, a0, b0, c0, s0; xmax=5.0, niters = 10)\n aic = zeros(niters)\n aic0 = zeros(niters)\n gl = zeros(niters)\n kl = zeros(niters)\n d0 = Normal(0.0, s0)\n q(x, y) = pdf(d0, y - (a0 + b0*x + c0*x^2))/xmax\n logq(x, y) = logpdf(d0, y - (a0 + b0*x + c0*x^2)) - log(xmax)\n fq(x) = -safemult(q(x[1], x[2]), logq(x[1], x[2]))\n Sq = 2n*hcubature(fq, [0, -10], [xmax, 10], rtol=1e-4, maxevals=100000)[1]\n X = linspace(0, xmax, n)\n for i in 1:niters\n Y = a0 + b0*X + c0*X.^2 + s0*randn(n)\n XX = hcat(ones(n), X, X.^2)\n a, b, c = (XX'*XX)\\XX'*Y\n d = fit(Normal, Y - (a + b*X + c*X.^2))\n p(x, y) = pdf(d, y - (a + b*x + c*x^2))/xmax\n logp(x, y) = logpdf(d, y - (a + b*x + c*x^2)) - log(xmax)\n aic[i] = -2*sum(log.(p.(X, Y))) + 8\n l0 = -2*sum(log.(q.(X, Y)))\n aic0[i] = aic[i] - l0\n f(x) = -safemult(q(x[1], x[2]), logp(x[1], x[2]))\n gl[i] = 2n*hcubature(f, [0, -10], [xmax, 10], rtol=1e-4, maxevals=100000)[1]\n kl[i] = gl[i] - Sq\n end\n aic, aic0, gl, kl\nend",
"execution_count": 15,
"outputs": [
{
"output_type": "execute_result",
"execution_count": 15,
"data": {
"text/plain": "sim_ols2 (generic function with 1 method)"
},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "aic, aic0, gl, kl = sim_ols2(n, a0, b0, c0, s0)\n@show aic\n@show gl\n@show aic0\n@show kl\n@show kl+aic0;",
"execution_count": 16,
"outputs": [
{
"output_type": "stream",
"text": "aic = [152.388, 163.457, 149.178, 154.511, 146.376, 157.47, 154.153, 149.926, 164.446, 141.948]\ngl = [158.832, 153.283, 151.455, 151.007, 153.053, 150.363, 150.182, 156.363, 153.913, 169.738]\naic0 = [-0.814695, 3.3203, 6.28654, 6.50543, 5.24464, 6.94212, 7.32671, 2.14492, 2.56569, -5.71215]\nkl = [9.37752, 3.82829, 2.00101, 1.55278, 3.59809, 0.908121, 0.727447, 6.90805, 4.45833, 20.2836]\nkl + aic0 = [8.56283, 7.14859, 8.28755, 8.05822, 8.84272, 7.85024, 8.05415, 9.05297, 7.02401, 14.5714]\n",
"name": "stdout"
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "@show n = 2^10\n@time aic, aic0, gl, kl = sim_ols2(n, a0, b0, c0, s0; niters=10000)\nK = .!isnan.(kl)\naic, aic0, gl, kl = aic[K], aic0[K], gl[K], kl[K]\n@show mean(kl), std(kl)\n@show mean(aic0), std(aic0)\n@show mean(kl+aic0), std(kl+aic0)\n@show cor(kl, aic0)\n\nsleep(0.1)\nfigure(figsize=(8,3))\nsubplot(121)\nplt[:hist](kl[kl .> 0], normed=true, bins=100)\nx = linspace(-1, 20, 201)\nplot(x, pdf.(Chisq(4), x), label=\"\\$\\\\chi^2(4)\\$\")\ngrid(ls=\":\")\nxlim(minimum(x), maximum(x))\nlegend()\ntitle(\"KL divergences (n=$n)\")\nsubplot(122)\nplt[:hist](aic0, normed=true, bins=100)\nx = linspace(8-20, 9, 201)\nplot(x, pdf.(Chisq(4), 8-x), label=\"\\$8 - \\\\chi^2(4)\\$\")\ngrid(ls=\":\")\nxlim(minimum(x), maximum(x))\nlegend()\ntitle(\"\\$AIC - L_n(w_0)\\$ (n=$n)\")\n\nfigure(figsize=(8,3))\nsubplot(121)\nplt[:hist](kl - aic0, normed=true, bins=100, range=(-10,25))\nx = linspace(-10, 25, 201)\nplot(x, pdf.(Chisq(4), (x+8)/2)/2, label=\"\\$2\\\\chi^2(4) - 8\\$\")\ngrid(ls=\":\")\nlegend()\ntitle(\"\\$KL - (AIC - L_n(w_0))\\$ (n=$n)\")\nsubplot(122)\nplt[:hist](kl + aic0, normed=true, bins=100, range=(8-2,8+2))\ngrid(ls=\":\")\ntitle(\"\\$KL + (AIC - L_n(w_0))\\$ (n=$n)\")",
"execution_count": 17,
"outputs": [
{
"output_type": "stream",
"text": "n = 2 ^ 10 = 1024\n 35.753154 seconds (1.13 G allocations: 19.585 GiB, 4.09% gc time)\n(mean(kl), std(kl)) = (3.997298167536067, 2.87970282752025)\n(mean(aic0), std(aic0)) = (3.983895018720012, 2.8193692603068135)\n(mean(kl + aic0), std(kl + aic0)) = (7.98119318625608, 0.48272818596340317)\ncor(kl, aic0) = -0.9858733896848232\n",
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"text/plain": "PyPlot.Figure(PyObject <Figure size 800x300 with 2 Axes>)",
"image/png": 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"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": "PyPlot.Figure(PyObject <Figure size 800x300 with 2 Axes>)",
"image/png": 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x2tGGvBRAtqO/ItvRX5Ht6K+EYzsqk9UI4pNPPhGqqopffvmlsYtiKB9//LEYPXq053tFRYWw2Wzi1KlTXtsFU58pU6aI2267TZw6dUp8/vnnokWLFjUaq9///ve1TsBd17pgY9Z6EShGxkQSvpj1/0W2o3Vj1noRKI3VjspkNYLQdV0MGTJETJ8+vbGLYiiPPfaYuP/++z3fMzMzRa9evWpsF0x9CgoKxFVXXSWaNGkiunfvLr766iuv9fv27RM2m83znnN/14UCs9aLQDA6JpLwxaz/L7IdrRuz1otAaMx2VBHizIy2koggOzubzz77jNmzZ2OxyHc6nI1R+qxZs4a9e/dy5513BrQuVMh6UTeNERNJ+CL/X+pGtqOyXviiMdtRmaxKJBKJRCKRSMIWeekgkUgkEolEIglbZLIqkUgkEolEIglbZLIqkUgkEolEIglbouKlALquc+TIERISEnxO6CyRSCTnihCCsrIykpOTo/bhC9mWSiSSUNLQdjQqktUjR47QqVOnxi6GRCIxAXl5eXTs2LGxixESZFsqkUiMINB2NCqS1YSEBMDl/NnvIq4Np9PJd999x//93/9htUaFDEFHauQfUqf6iQaNSktL6dSpk6e9iUYCbUujIa7nitk1kP5L/wPxv6HtaFRMXVVaWkpiYiIlJSV+J6sSiUQSCGZoZ8zgo0QiaTwa2sZE58ArP9B1ncOHD6PremMXJWyRGvmH1Kl+pEbRiYyr1ED6L/03wn9TJ6v79+83bQXzB6mRf0id6kdqFJ3IuEoNpP/SfyP8l8MAJBKJxA/M0M6YwUeJRNJ4NLSNMd9o4DPouk5eXh6dOnWK2mlozhWpUe1omobD4QBcOuXn59OhQwepUy1EikYxMTFhXb5wQ7YRUgPpv/TfCP9NnawePnyYlJQUU1Ywf5Aa1UQIwdGjRykuLvZaVlVVhd1ul3NT1kKkaGSxWEhNTSUmJqaxixIRyDZCaiD9l/4b4b8cBiCRBEB+fj7FxcW0bduWpk2bhnXiJQkM94T4NpuNzp0714itGdoZM/gokUgaDzkMIEA0TSM3N5fU1FRUVW3s4oQlUiNvNE3zJKqtWrXyLBdCYLfbiY2NlclrLUSKRm3atOHIkSM4nU5sNltjF+ecmDdvHg899BD33XcfCxYsCMkxZBshNZD+S/+N8N98fdZnEEJw8uRJoqBjOWRIjbxxj1Ft2rRpjXWaphldnIgjEjRy3/6PhLLWxebNm3njjTfo169fSI8j2wipgfRf+m+E/6ZNVq1WK4MHDw6rN050nb3S8/HCUQkHvoV930DRz0E7Tn2Eo0bhwNk9g4qiEB8fH9Y9ho1NpGgU7uXzh/Lycm6++WbefPNNkpKS6tzWbrdTWlrq9YFfk3VN03zaTqcTTdOwWq1cdNFFnrFqTqfTM4VNddvhcHjZ7hOb2xZC1LABL1vXdS/b6XTWaWua5mX761NdfvjyyWq10r9/f0+vUjT4FEicrFYrv112jPMf/zJqfAokTgCDBw/GYrFEjU+BxElRFAYMGIDVavXbp4Zg2mRV0zT27NkT3j0oTjusnQ/PpcK7E+CD6+Dli+CtK+HghpAfPiI0CgOEEJw+fdq0V9b+IDUyjunTpzNhwgSuvPLKeredN28eiYmJnk+nTp0AyM7OBiAnJ4ecnBwAdu7cyd69ewHIysoiNzcXTdNYs2YNBw8eBGDDhg3k5+cDkJGRQWFhIQCrV6/2PJSYnp5OWVkZAGlpaVRWVuJ0OklLS8PpdFJZWUlaWhoAZWVlpKenA1BcXMzq1asBKCwsJCMjA3CNI9+wwdUe5uXlkZmZCUBubi5ZWVkA7N27l507d/rlE0BmZiZ5eXl++aRpGl9++SUlJSVR41MgcdI0jeu7ajw1QIsanwKJ03fffceePXs4ePBg1PgUSJx2797Nd999h6Zpfvm0adMmGoJpH7ByC9uvX7+wGWdSvbfzwJOXwgfXQ973rgUJHaBJSzi+B8SZ5HHE/XD5IxBgb5D7OAfmT6hzu3DUqDGprKz0jM2Ji4vzLHcnYk2aNImKnrlQECka1RZjiIyHjz766COeeeYZtmzZQlxcHKNGjaJ///61jlm12+3Y7XbPd/d7u4uKikhKSvJcqKqq6mU7nU5PHLdv306/fv2w2Ww4nU4sFounl8ltOxwOVFX12FarFUVRPDa4elyq2zabDSGEx9Z1HU3TPLa7V7M2W9M0hBAe25cfvnxy27788OWTEILt27dz4YUXYrVao8KnQOJksVh4+O3/8b88C9lPXxMVPgUSJ4fDwQ8//EDfvn1RFCUqfAokTlVVVWRnZ3PhhRd62pG6fCoqKqJVq1byASt/UVWViy66qLGL4RMVDT66yZWoxiXC1f+A869zJaVlx2D105D1Pqx/ASqOwzUvBZyw+lWOMNYonFAUxec4VsmvSI1CT15eHvfddx/p6ek1Eu3aiI2NJTY2tsZy98Vp9YvU6nb1oUEDBw70uby6Xf1htUBsRVE8tvtk569dW9n98ckfu3p5q2sQLT4FYn/086/7iBaf/I1TbGxsjfNkpPsUSJxiYmIYMGAAZ+OPH4Fg6mEA2dnZYXmL+271c8jNgJgE+P1y6Hv9r8loQjuY9CpMfAUUC2x7D1Y/E5JyhLNG4YRZbnHn5eUxatQo+vTpQ79+/fj444/9/q1ZNGpMtm7dSkFBAQMHDsRqtWK1Wlm3bh0vv/yyV29IMJFthNRA0zSu7aJhVcz5vy3jb4z/pu1ZDVd+o/zCfdZlAMws/z3/6DjQ94YD/uBKVldMd/WwtuvjSmolkhBhtVpZsGAB/fv3p6CggAEDBjB+/Hji4+Mbu2gS4IorrmDXrl1ey/70pz/Rq1cv/va3v8mhPJKg4h5OZlUEV3du5MJIoh7T9qyqqkrfvn3DrgF/wLqUGEVjlTaQ5frwuje+6PcwfKbL/uy+oMwUUJ1w1SjcUBQl7MdiBoMOHTrQv39/ANq2bUvLli0pKiry2ubEiRO0bduWAwcOeC2vS6MpU6bw4osvhqzcZiEhIYG+fft6feLj42nVqhV9+/YNyTFlGyE1cAqFTw+qOEV0t3+1Yfb4G+W/aZNVTdPIysoKq677C5V9jFG3ogmF+c4bAT/++S97BDoPhaoyWHEP6HrtU2AFSDhqFI4IITh16lTY3+KeN28egwcPJiEhgbZt23Lttdfy448/NmhfW7ZsQdd1z9Pj1Y9xzTXX0LVrV6/lQgiefPJJFEVhxowZXusee+wx5s6d65k2KZg4nU4eeeQRUlNTadKkCeeddx5PPfWUZxoVybkh2wipgc0iuPE8DZslvNu/UGH2+Bvlv2mTVYAmTZo0dhG8+LP1cwD+q41gv0jx70eqFSa/DrZ4OPgdbH0nqGUKN43ClUjoVV23bh3Tp0/n+++/Z9WqVTidTsaMGUNFRUVA+zlx4gR/+MMfeOONN7yWnz59mrfffpvbb7+9xm82b97MO++843OS+n79+tG1a1c+/PDDwBzyg2effZbXXnuNV199lZycHJ577jmef/55XnnllaAfKxxZu3ZtyN5e5Ua2EebWQBdQXOX6a1bMHH8wxn/TJquqqtKrV6/w6bovOcxoyxYAXteuDuy3SV3gisdc9jdP0oKyoBQp7DQKUyJlGMCXX37JH//4R84//3wuvPBC3nnnHQ4dOsTWrVsB1+341q1bs2jRIs9vtmzZQmxsrGeePrvdzuTJk5kzZw7Dhg3z2v8XX3yB1Wpl6NChXsvLy8v5/e9/z1tvvVXrJPUTJ05kyZIlwXQXgI0bNzJp0iQmTJhA165dmTJlCmPGjGHLli1BP5YZkW2E1EATCl/+oqKZeBiAmeNvlP+mTVadTiebN29u8NsUgs6291AVwfd6b/aJjp7Fft/Sv/gOaNcXKkv4i3V5UIoUdhqFKUIIKioqwn4YwNm4JzFv2bIlAK+88gpTpkzhySefBODUqVPcfPPN3HHHHYwfPx4hBH/84x+5/PLLmTp1ao39ZWRkMGjQoBrLp0+fzvjx42sksdW5+OKLyczM9JrzMxgMHz6cb775hp9++gmAHTt28O233zJ+/PigHsesyDZCamCzCP7Yw7zDAMwef6P8N+1sAIqikJSUFB69YboO294H4ANn/W+d8YlFhTFPw/uTmaqu4t/aaA6IDudUrLDSKFwRAqoqUDU7VImQzHdbK7amDT6eEIJZs2YxfPhwz8M3HTp0YMaMGbz++uscO3aMRx99FFVVef755wH47rvvWLp0Kf369ePTTz8F4P333+eCCy4A4MCBAyQnJ3sd56OPPmLr1q1s3ry5znqUkpKC3W7n6NGjdOnSpUE++eJvf/sbJSUlnit/TdOYO3cuN910U9COYWZkGyE10AUcKFNMOwzA7PE3yn/TJquqqtK9e/fGLoaLvE1QdoRS0YR0vWbPlN90uxy6j8a2bxV/s37Enx0zz6lYYaVRuOI4hTIvBf+mYA8yDx2BmIZNG3XPPfewc+dOvv32W6/lPXr0oGnTpjz11FO89957fP/9957xSMOHD6/zwaTTp097TUZffZL6+sY0udefOnWqxronnnjC09tbG5s3b/bZq7t06VI++OADFi9ezPnnn8/27duZMWMGycnJ3HLLLXXuU1I/so2QGmhCYW2+ORM1kPE3yn/TJqtOp5PMzEwuvvjiBr9RIWjsdt22X6UPogpbPRtT65CAA/MnwJin0fZ+zVXqZgY6fwTqfqVqXYSVRpKgce+99/LZZ5+RkZFBx44dvdZZLBb69u3LwoULee655wJ6g1nr1q05efKk53v1SerdaJpGRkYGr776Kna73TPOyT0FVps2bWrs95577uHGG2+s89hnzz7g5oEHHmD27Nme319wwQUcPHiQefPmyWQ1CMg2QmoQYxHc2lPnXz+ac1Sh2eNvlP/mU/YMFouFlJQUz6vEGg1dhx9WAPA/bci5769tb5Zqo/iddQ33Wf8LzGrwrsJGo3DG1hQx5zBVVVXExMQYeyvIFtjrS4UQ3HvvvSxfvpy1a9eSmprqcxtFURgwYAB//etfA9r/RRddxAcffOD5Xn2SeiEEDoeDu+66y+ck9dnZ2XTs2JHWrVvX2G/r1q19LveHU6dO1ai/qqrKqauChGwjpAaagO0nFDSTDgMwe/yN8t/UyWowx8Y1mMNbofwoxCbybeUFQdnlQm0Sv1XXMVLdxcQ5L7NTdHP1ugZI2GgUzigKSmwzfLxePeyYPn06ixcvZsWKFSQkJHD06FEAEhMTPbfhFyxYwKZNm+jfv3/Ajc/YsWOZM2cOJ0+eJCkpyTNJfXVqm6R+/fr1jBkz5hy8880111zD3Llz6dy5M+effz5ZWVm8+OKL3HrrrUE/lhmRbYTUQBMK3xeYdxiA2eNvlP/mvBTA1XWdkZHR+E/w7fva9bfbZTiCdO3wi2jLp2fefnWP9dMG7ydsNApzhBCUlZWF/WwAixYtoqSkhFGjRtGhQwfPZ+nSpQDs2rWLOXPmMG3aNH744YeA437BBRcwaNAg/vOf/9RY59bIF5WVlSxfvpw77rgjcKfqwT3DwbRp0+jduzf3338/d911F08//XTQj2VGZBshNYixCGb0dRJj4tkAzBx/o/w3dc9qt27dGr/r3p2sdr8Stp3brqqPZV3onMh1lvWMUbfSy3moQfsLG40igNgI6FqtK5murKzkd7/7HTfccANz585l4cKF7NmzJ+DXdD766KPcf//93HHHHTXqTWxsLGvWrKkxVOLtt9/mkksuYciQIAyDOYuEhAQWLFgQ8onxzYpsI6QGTgFrj1hwmjNXNX38jfLfnOoSJuNMThW5hgGA60n+IPKzSCZNvwSA6Q3sXQ0LjSIARVGMH68aZGbPnk1FRQWvvvoqLVq0oEuXLvzjH//g8OHDAe1n/Pjx3HXXXTV+V5dGNpvNNG+UijZkGyE10IXC9iILuklfCmD2+BvlvznVxdV1vXr16sbtuv95DSCgTW9I9PP1qgHwT+ckAMZbNsHJgwH/Piw0igCEEJSWlob9MIDaSE9P55///CcffPABCQkJADzyyCOsWLGCu+++O+D93XfffXTq1MlrWV0a3XnnnfTs2bNhhZc0KrKNkBrEWASzLzT3MAAzx98o/03qMN/dAAAgAElEQVSbrLqn6Gmsq6Gus1fywUdn3oXe7bKQHCNHdCFDuwBVEZD5Rv0/OIvG1iiSiOR3Q48ZMwaHw+H1+tTbb7+dwsJCPv/886AdJ5I1kvhGthFSA6cOnx6w4DTpBBtmj79R/ptTXVwCt23btlEr2GDLjy6jy7C6NzwH/qWNcxnb3ge77wdcaiMcNIoEFEXBZrNF9DCAUCM1ik5kGyE10FHYU2JBx5z/22aPv1H+m1NdwOFw8NVXX+FwOBrl+C0oo6flF9eXTsF/sMTNOv1C9usdwF4C25cE9NvG1ihS0HWdkpISOXdnHUiNohPZRkgNYi2CJwc4iTXpMACzx98o/007G4CqqgwePNhrYnIjGWj5CYD9egeueCbTr9/U9uaquhBYeFcby9OWd2HTazD4dr9/29gaRQqKohAfHy97DetAahSdyDZCauDQ4Z2fVBwmvQ41e/yN8t+0PasWi4WWLVs2Wte9ewhApt4r5Mdapo2E2EQo2g970/3+XWNrFCkoioLVapWJWB1IjaIT2UZIDXQUDpQrph4GYOb4G+W/OdXF1XW9cuVKQ7vuu85e6fm4e1a36KF/CvoUcTBgquvL5rf8/l1jaBSJ6LpOcXGxvMVdB1Kj6ES2EVKDWFXw7GAnsap5hwGYOf5G+d+gZHXhwoWkpqYSFxfHwIEDWb9+fZ3bL1u2jD59+hAbG0ufPn1Yvny51/ry8nLuueceOnbsSJMmTejduzeLFi1qSNH8xmq1MmLECKxW40dCqGicr7imktouuhlz0EFnXi+572tSOO7XTxpTo3Dm7OmXFEUhISFB9hrWQaRoFKnTjzUWso2QGlRp8I9slSqtsUvSOJg9/kb5H3CyunTpUmbMmMHDDz9MVlYWI0aM4KqrruLQId9vSdq4cSM33HADU6dOZceOHUydOpXf/va3bNq0ybPNzJkz+fLLL/nggw/Iyclh5syZ3HvvvaxYsaLhntWDoig0b968UU6e3ZQjNFXslIs4fhYdjDloq26QeikguMG6xq+fNKZG4YjNZgPg1KlTXssVRUFVValTHUSKRlVVVQCmHX8WKLKNkBoIFI6eVhAmHQZg9vgb5X/AqfCLL77Ibbfdxu23ux7UWbBgAV999RWLFi1i3rx5NbZfsGABo0ePZs6cOQDMmTOHdevWsWDBApYscT2dvnHjRm655RZGjRoFuCYJf/3119myZQuTJk1qqG914nA4SEtLY/z48Z4kxCj6WX4GIFukIgwaidF19krGWy5kYcw6blDX8rLzunp/05gahSOqqtKiRQsKCgoAaNq0KYqioOs65eXlNGvWzLTjluojEjTSdZ3jx4/TtGlT0/aSBIpsI6QGsarguYs1Hsw05wWe2eNvlP8BtchVVVVs3bqV2bNney0fM2YMGzZs8PmbjRs3MnPmTK9lY8eO9XpX9/Dhw/nss8+49dZbSU5OZu3atfz000+89NJLPvdpt9ux2+2e76WlpQBomub1V1VVL9vpdHp6eACuvPJKrFYrTqcTi8WCxWLxsh0OB6qqemz3AyJuG1xvb6hu22w2hBAeW9d1NE3DZrNhQWC1QD/FlazuFqmusikCVYEqXUFVBBYFHGfZVsV1e9IpFGwWgS5AO8uOsQi0arZTuF6FF2MROHVYpQ+iUDSnnVLMFZYsHI7xdfqkqiqXX345Vqu1Vp90XUfXdaxWa622pmkIITy2r9jUFqfaYhPKONXlU+vWrQE4duwY4LqqFEIghODEiROe28ju5cGy3VetgdihKktDbV3XKSwsDGufFEUhJSUFRVFq1Dc53rYmVquVMWPGmDq5N7sGVRo8ttXcwwDMHH+j/A+oi6OwsBBN02jXrp3X8nbt2nH06FGfvzl69Gi927/88sv06dOHjh07EhMTw7hx41i4cCHDhw/3uc958+aRmJjo+bhf7ZidnQ1ATk4OOTk5AOzcuZO9e/cCkJWVRW5uLgCbN2/2JBwbNmwgPz8fgIyMDAoLCwFYvXo1xcXFgOuVlGVlrkn109LSqKysxOl0kpaWhtPppLKykrS0NADKyspIT3c9dV9cXMzq1asB6JEomHWB5ulZ7ZDcFYDBbQS39nSdCEe0F9zc3WWPTtG5vqvLvrqzztWdXfb1XXVGp7jsm7vrjGjvOtne2lNncBuXPa2PRr8klz3rAo0eiQIHVvJbjwDgd+o3fvnkLnttPhUWFpKRkQFAfn6+56IlLy+PzEzXlFy5ublkZWUBsHfvXnbu3Ol3nDIzM8nLyzM0TnX5tHnzZjp06IDNZqOiooLU1FSEEFRWVtK1a1ecTidOp5PU1FQqKysBSE1NpaKiAlVVSU1NpaSkhNjYWFJTUzlx4gTx8fGkpqZSUFBAYmIiqampHDlyhJYtW5KamsqhQ4do06YNqamp5Obm0qFDBzp27Ehubi4dO3akQ4cO5ObmkpqaSps2bTh06BCpqam0bNmSI0eOkJqaSmJiIgUFBaSmphIfH8+JEydITU0lNjaWkpISUlNTUVXV4xNAZWUlqampQfGpa9eu5Ofnk5SUFNY+lZWVcfjwYZ91r7Y2zuyY9SRdHTNrIIBKzfXXrJg5/mCM/4oI4ImCI0eOkJKSwoYNGxg6dKhn+dy5c3n//ffZs2dPjd/ExMTw3nvvcdNNN3mWffjhh9x2222ek8QLL7zAm2++yQsvvECXLl3IyMhgzpw5LF++nCuvvLLGPn31rHbq1ImioiKSkpL86rE7ffo06enpjB8/HkVRDOmxO2/2/4izOMmy3U6s4uDKqr+zT+9gWM+qjkJ3y1G+jpmFLhS0e7Zgbd2tVp8cDgdffPEF48eP9/RAm71n1ZdPlZWVfPXVV4wfP95zizvSfQp2nDRNIy0tjXHjxhEbGxuRPpWXl5OUlERJSQnNmzev0S5FA6WlpSQmJvrto9lvgYJ5NXDP+119GMCPc69u5FIZj1nj7yZQ/wNtY9wElA63bt0aVVVr9DAUFBTU6D110759+zq3P336NA899BDLly9nwoQJAPTr14/t27fzwgsv+ExWY2NjiY2NrbHcfXu/+sMR1e3q2X9cXJwnCas+MLj6NtWFD8R2v1oS8JzswJUspohjxCoOykUc+3WXBppQ0M5cMtRmO8WvZXTovu0qP+x9ensytAsYqe7CsnMxXPFYrX7YbDYvjXz55I9dWzz8iZM/drDjFKhPsbGxPutSJPsU7DgpiuLRKFJ9Ctexto2J1Wr1iqsZMbsGdg0ezFSxm3gYgJnjb5T/AbW+MTExDBw4kFWrVnktX7VqFcOG+X6//dChQ2tsn56e7tne4XDgcDhqnAhUVQ35GDGn0xnS/fuil+KaNeFH0cmwh6vOZrF2hcvI+gC0uudGawyNIhGpU/1IjaITGVdza6AAcSomnQvAhZnjD8b4H3C2NGvWLN566y3+9a9/eaaZOnToEHfffTcAf/jDHzxP/gPcd999pKen8+yzz7Jnzx6effZZvv76a2bMmAFA8+bNufTSS3nggQdYu3Ytubm5vPvuu/z73/9m8uTJQXKzJk6nk/T0dMMrWU+Lawzcj3onQ49bna/1ARwXiVB+DH78otbtGkujSEPqVD9So+hExlVqEKPCUwM1Ysw5GYDp42+U/wGNWXWzcOFCnnvuOfLz8+nbty//+Mc/GDlyJACjRo2ia9euvPvuu57tP/nkEx555BF+/vlnunXrxty5c7nuul+nTjp69Chz5swhPT2doqIiunTpwp133snMmTP9mruroWMgjKbr7JW8ZXueK9UsHnPcwr+1sY1Wlr9Zl/Bn6+fQYxz8bmmjlUMiiRQipZ05F8zgoyQ4uMesVufA/AmNUBJJJGHImFU306ZNY9q0aT7XrV27tsayKVOmMGXKlFr31759e955552GFKXBCCEoKysz/K06vc70rO7ROxt2TF98oo10Jat7V0HZMUioOea4sTSKNKRO9SM1ik5kXKUGCoJ2TeDY6cYuSeNg9vgb5b9pnxhwOp2sX7/e0K77BE7RUXFNt7RHNN4wAID9IgU6Dgahwa7/+NymMTSKRKRO9SM1ik5kXKUGMSrM7GvuYQBmjr9R/jdoGEC4ESm3rq6f8yLLYp8kX7RkqP3Vxi4OB6YUwP9mQJveMG0jmPCqUCLxl0hpZ84FM/goCQ5yGICkITS0jTFtz6qu6xQVFRn6VpruliMA7NVTDDtmnZw/GaxxcDwHjmTVWN0YGkUiUqf6kRpFJzKuUgMLgq7NBBaTvhbA7PE3yn/TJquaprF582bPhOBG0E1xJav7RJgkq01aQK8zkzhvX1xjdWNoFIlInepHahSdyLhKDWwW+FMPDZtJswmzx98o/01avVwTjo8dO9bQN06cdyZZ/Vl0MOyY9XLRza6/uz4GR6XXqsbQKBKROtWP1Cg6kXGVGth1hce3WbHr5hxGZvb4G+W/aZNVXdcpKCgwtOve3bO6XyQbdsx6Sb0UmqdAZTH85D3namNoFIlInepHahSdyLhKDSwIeiXqph4GYOb4G+W/qZPV7Oxs4yqY005npQCAfXoYJasWFS680WWfNRTAcI0iFKlT/UiNohMZV6mB1QLXdtWxmjSbMHv8jfJfzgZgFAU5sHAIZaIJF9jfIhxeTud5crNwH7w6EE0oqH/NgeZhNExBIgkTIqKdOUfM4KMkOMjZACQNQc4GECC6rnP48GHjroYK9wKwX3QgHBJVL1p3Z7PeA1URsPPXt1kZrlGEInWqH6lRdCLjKjWwKIL+LXUsSsT3ezUIs8ffKP9Nnazu37/fwGT1JyDMxqtW4xPtUpexfTGc6Ww3XKMIRepUP1Kj6ETGVWpgVWBUso41zPpgjMLs8TfKf9Mmq1arlZEjR2K1NuiNs4FzYj8AuXp43mJfqV3CaREDhT/C4a1AI2gUoUid6kdqFJ3IuEoNqnSFBdlWqkw6G4DZ42+U/6ZNVnVd5+DBg8ZdDZ3MBeCgaGfM8QKknKZ8oV/s+rL9Q6ARNIpQpE71IzWKTmRcpQaqIhjSVncNIzMhZo+/Uf6bOlk1dJxJUXgnqwDLtBEAFG9eSo/Zn5p+LI6/SJ3qR2oUnci4Sg1UBfq3Eqjm7Fg1ffyN8t+c/da4uq6HDRtmzMGqKqD8KBDeyepG/XzyRUs6KEVcbsnCar3WOI0iGEPrUoQiNYpOZFylBlW6wms5amMXo9Ewe/yN8t+0PauaprFv3z5jXpF28gAAJaIpJTQL/fEaiI6FT7X/A+B6db2xGkUwUqf6kRpFJzKuUgNVEYzqYN5hAGaPv1H+mzZZFUJw8uRJDJlmNgKGALhxDwUYZdmOKD9unEYRjKF1KUKRGoWeRYsW0a9fP5o3b07z5s0ZOnQoX3zxRf0/PAdkXKUGFgW6JggsJh0GYPb4G+W/aZNVq9XK4MGDjXmC78zDVYciIFndJzqyQz8Pm6JhzfnUOI0iGEPrUoQiNQo9HTt2ZP78+WzZsoUtW7Zw+eWXM2nSJHbv3h2yY8q4Sg0cusK7P6k4TDwbgJnjb5T/pk1WNU1jz549xnTde3pW24b+WEHA3bsqti82TqMIxtC6FKFIjULPNddcw/jx4+nRowc9evRg7ty5NGvWjO+//z5kx5RxlRqoimBcR83UwwDMHH+j/Ddtsgpw+vRpYw50pmf1gGhvzPHOkc+1oVQJFeXoDsSx0PXKRBOG1aUIRmpkHJqm8dFHH1FRUcHQoUNr3c5ut1NaWur1cf/e/deX7XQ6PXZFRYXnSWCn0+nTdjgcXrb7lqHbFkLUsAEvW9d1L9vpdNZpa5rmZQfiU21+1OZTRUVF1PlUX5wUBLGq6/Z/ixhBE+uvL5OJVJ8aGqfTp09HnU+BxOnUqVMB+dQQTJusqqrKRRddhKoa8BTjmQes8iKkZ/UkzVmjXwRAb/t2YzSKYAytSxGK1MgYdu3aRbNmzYiNjeXuu+9m+fLl9OnTp9bt582bR2JioufTqVMnALKzswHIyckhJycHgJ07d7J3r+u10VlZWeTm5qKqKna7nSNHjgCwYcMG8vPzAcjIyKCwsBCA1atXU1xcDEB6ejplZWUApKWlUVlZidPpJC0tDafTSWVlJWlpaQCUlZWRnp4OQHFxMatXrwagsLCQjIwMAPLz89mwYQMAeXl5ZGZmApCbm0tWVhYAe/fuZefOnX75BJCZmUleXp5fPqmqytGjRz0n7GjwyZ84NY+B5y7WcOgKa/NVHu2vR7xPDYnTpk2buOiiizhy5EjU+BRInH766SdiYmJQVdUvnzZt2kRDUEQUjAouLS0lMTGRkpISmjdv7tdvNE0jJyeH3r17h/YEquswtx1oVfxf5Uscpk3ojhUgB+ZP8NhdZ6/0WjfWspnXY/6BI64Vlr/uQbXFGF28iMGwuhTBRINGDWlnjKaqqopDhw5RXFzMsmXLeOutt1i3bl2tCavdbsdut3u+l5aW0qlTJ4qKikhKSvL0jKiq6mU7nU4UxTVGcffu3fTu3RubzYbT6cRisWCxWLxsh8OBqqoe22q1oiiKxwZXj0t122azIYTw2Lquo2max9Z1HavVWqutaRpCCI/tyw9fPrltX3748kkIwe7du+nTpw9WqzUqfPInTufNWUmMCpoOV3fWWHXYwu5nrolonxoSJ4fDwd69e+nZsyeKokSFT4HEqaqqij179nD++ed72pG6fCoqKqJVq1YBt6PmHBFsJOXHQKsCReUoLRu7NH6zRu+PaJKE7fQJtNx10GN0YxdJIpHUQ0xMDN27dwdg0KBBbN68mZdeeonXX3/d5/axsbHExsbWWO6+oKh+YVHddp8ENU3znISqLz/bttlsDbIVRfHY1Y/jj11b2evzyV/bXS63Bu7kPRp88scWKNg1sCoCULBrSsT7VN32N07uY1kslnr/byLFp0Dj5Gsbf/wIBFMPA+jbt2/oe3lKXF3fNE9GI3J6lKqwofSdAoC6a2kjlya8MawuRTBSo8ZBCOHVcxpsZFylBk6h8OlBFacw52wAZo+/Uf6bNlnVNI2srKzQP8FXfMj1N7FTaI8TAq7f4Crz6Z0roLK0kUsTvhhWlyIYqVHoeeihh1i/fj0HDhxg165dPPzww6xdu5abb745ZMeUcZUa2CyCG8/TsFkifkRhgzB7/I3y39TDAJo0aRL6g7h7VltEXrK6XT+PfDWZDtoR+GEFDJja2EUKWwypSxGO1Ci0HDt2jKlTp5Kfn09iYiL9+vXjyy+/ZPTo0A7hkXE1twa6gOIq11+zYub4gzH+mzZZVVWVXr16hf5AxWeS1QjsWdWEhfcrR/CgbSns+Egmq7VgWF2KYKRGoeftt982/JgyrlIDTSh8+Ys5b4GDjL9R/pt2GIDT6WTz5s0NnvPLbyK4Z9VmEVi7DEUXChz8Fk4ebOwihSWG1aUIRmoUnci4Sg1sFsEfe5h3GIDZ42+U/6btWVUUhaSkJM8TnCHDq2e1MrTHCpCzp6s6G13AztOt2Sj68H/Kbti5FC590KDSRQ6G1aUIRmoUnci4Sg10AQfKFNMOAzB7/I3y37Q9q6qq0r1799A+wSZEtZ7VzqE7TojQhMLafAufOEe6FuxY4vJJ4oUhdSnCkRpFJzKuUgP3eUIz8WwAZo6/Uf6bNll1Op1s2LAhtF3Xp09CVbnLTuwYuuOEiBiL4O7eGmsYBLZ4KPoZ8jIbu1hhhyF1KcKRGkUnMq5SA/d5IsbEwwDMHH+j/DdtsmqxWEhJSfFMZhsSSn5x/W3aGmyR97SgJmD7CYUyEQd9JroW7ljSuIUKQwypSxGO1Cg6kXGVGrjPE5o5c1XTx98o/82pLi6Bu3TpElqBy1zv9CUxJXTHCCGaUPi+4MztnQtvci3c/V9whNfY28bGkLoU4UiNohMZV6mB13nChJg9/kb5b051cXVdZ2RkhLbruvSw629CcuiOEUJiLIIZfZ3EWASpb5RyWLSCyhL46YvGLlpYYUhdinCkRtGJjKvUoPp5woyYPf5G+W/aZNVisdCtW7eQXQ10nb2Slz9d5/rSPDKTVaeAtUcsOAUILCzXhrtW7PiocQsWZoS6LkUDUqPoRMZValD9PGFGzB5/o/w3p7oYM86iA0UuI0KTVV0obC+yuOZZBf6rjXCt2LsKygsasWThhdnHLPmD1Cg6kXGVGpx9njAbZo+/HLMaYpxOJ6tXrw5p13U75aTLaB6ZY1ZjLILZF/56e+dnkUyW3h2ExlPznmrk0oUPRtSlSEdqFJ3IuEoNzj5PmA2zx98o/02brFosFvr27RvanlUlsntWnTp8esCCU/912bIzvavXqxmNVKrww4i6FOlIjaITGVepga/zhJkwe/yN8r9Be1+4cCGpqanExcUxcOBA1q9fX+f2y5Yto0+fPsTGxtKnTx+WL19eY5ucnBwmTpxIYmIiCQkJDBkyhEOHDjWkeH5hsVho27ZtSAVuH+HJqo7CnhILOr/e3vmfNoQqoXK+5SAczW7E0oUPRtSlSEdqFJ3IuEoNfJ0nzITZ42+U/wHvfenSpcyYMYOHH36YrKwsRowYwVVXXVVrYrlx40ZuuOEGpk6dyo4dO5g6dSq//e1v2bRpk2eb/fv3M3z4cHr16sXatWvZsWMHjz76KHFxcQ33rB4cDgdfffUVDocjJPtvxikSlNOuLwkdQnKMUBNrETw5wElstds7xSTwjT7A9WWnfNAKQl+XogGpUXQi4yo18HWeMBNmj79R/itCBPb+zEsuuYQBAwawaNEiz7LevXtz7bXXMm/evBrb33DDDZSWlvLFF79OdzRu3DiSkpJYssQ1wfyNN96IzWbj/fffb5ATpaWlJCYmUlJSQvPmzf36ja7rFBcX06JFi5BcEVwx5w2+iX2AEtGUxCdd8612nb0y6McJJRYEnZvBoXK8rppHW7bwZsyL0KwdzPwBVGsjlrLxCXVdigaiQaOGtDORRqA+RkNczxWzauA+n1U/T/w8/+pGLpXxmDX+bgL1v6HtaEDKVlVVsXXrVsaMGeO1fMyYMWzYsMHnbzZu3Fhj+7Fjx3q213WdlStX0qNHD8aOHUvbtm255JJL+PTTT2sth91up7S01OsDoGma568v2+l0emxd1z3iOp1OdF33bOO2HQ6Hl+3O6922EKKGDSCEoLN6AoCjoiU9H/ofXWevxILwDEK3KL/a6lm2zYdtVQRWxWXbLALVhx1zlm2pbuOyY6vbqkCpYQtiVddfAeSfdiWqimc5ZOgXUiQSoPwY+v5fB1bruu7T1jTNyw4kTrXFJlhxctu6rnvZgfgkhCAxMRGLxRI1PgU7ThaLhYSEBNxEsk+SX7FYLLRs2dKUJ2k3ZtdAR+FAuWLqYQBmjr9R/ge098LCQjRNo127dl7L27Vrx9GjR33+5ujRo3VuX1BQQHl5OfPnz2fcuHGkp6czefJkrrvuOtatW+dzn/PmzSMxMdHz6dSpEwDZ2a4xlDk5OeTk5ACwc+dO9u7dC0BWVha5ubkAbNq0iZUrV+JwONiwYQP5+a7ez4yMDAoLCwFYvXo1xcXFAKSnp1NWVgZAWloalZWVOJ1O0tLScDqdVFZWkpaWBkBZWRl/7uLaR4nakof6u05+PRIFsy5w2f2SBNP6uOzBbQS39nSdCEe0F9zc3WWPTtG5vqvLvrqzztWdXfb1XXVGp7jsm7vrjGjvOunf2lNncBuXPa2PRr8klz3rAo0eiS77of4anZu5dHxqgEa7M2+Bfe5ijeYxEKu67FgV2sSJM7agXRPX9gAdmlk51moIAFWZ75KR4XrYKj8/33MRkpeXR2ZmJgC5ublkZWUBsHfvXnbu3Ol3nDIzM8nLywMISZzS09MBKC4uZvXq1YCrngfi0549ezx1KVp8CnacHA4HaWlpHv8i0afa2jgz43A4PHXfrJhdg1hV8Oxgp6czw2yYPf5G+R/QMIAjR46QkpLChg0bGDp0qGf53Llzef/999mzZ0+N38TExPDee+9x0003eZZ9+OGH3HbbbVRWVnr2edNNN7F48WLPNhMnTiQ+Pt4zVKA6drsdu93u+V5aWkqnTp0oKioiKSnJ0zOiqqqX7XQ6URQFVVVxOBxUVFSQmJiIpmlYLBZPL6vbdjgcqKrqsa1WK4qieGxw9bhUt202G0IIFjx2BzPVj/nYeSmP6Hdi1xUsCKwWqNIVLIrAqrhsVRGo1WyLAo6zbHevqlMo2CwCXbhec1fdjrEItGq2U7jmwIuxCJy66wo41iJwuG1VUKWB8LJdCatdc93e6RgPeRWuK+YYFeyay4/+ai7/tT2CsMahzcjB2qwluq6j6zpWq9XL1jQNIYTH9hWb2uJUPR612ecSJ7et6zqapnlsX37U5pPT6aSsrIwWLVp4et8i3adgx0lRFE6ePEliYqLn/y/SfCovLycpKUkOA6iGEIKysjISEhJQFHP2rJlVA/cwAAVXZ8ax05BrwmEAZo2/m0D9b+gwgIAGG7Zu3RpVVWv0MBQUFNToPXXTvn37Ordv3bo1VquVPn36eG3Tu3dvvv32W5/7jI2NJTY2tsZyVVW9/p5tu0+CADabjRYtWtRYfvY2DbEVRaGlcPWKHaMFdt0VQB2FqjN3EnWhUHXmMkETClo9trPahMsO3bdd5Ydtr25rtdl4ynuoAp/Lt2mpkNwL5fgerD9+DgNv8ZzYAS+7tnj4Eyd/7HOJk9uurez++GS1WklKSooqn0IRp5YtW0a0T2a9zVcXiqJEbeLuL2bXQKBw9HRjl6LxMHv8jfI/oNY3JiaGgQMHsmrVKq/lq1atYtiwYT5/M3To0Brbp6ene7aPiYlh8ODB/Pjjj17b/PTTT3Tp0iWQ4gWEw+FgxYoVIeu6bqu4ktUC0SIk+zeCWFXw0tDabu8ozD/S32X6eP1q19krPZ9oJ9R1KRqQGkUnMq5Sg7rPE9GP2eNvlP8BP8Y9a9Yspk6dyqBBgxg6dChvvPEGhw4d4u677wbgD3/4AykpKZ6ZAe677z5GjhzJs88+y6RJk4We8YYAACAASURBVFixYgVff/21V6/pAw88wA033MDIkSO57LLL+PLLL/n8889Zu3ZtcLz0gdVqZcyYMV69J8Hk12Q1KST7N4IqDR7bqlKl+V6/XBvOg9alWA5tgKJcaJlqbAHDhFDXpWhAahSdyLhKDeo7T0Q7Zo+/Uf4HvPcbbriBEydO8NRTT5Gfn0/fvn1JS0vz9IIeOnTI63bZsGHD+Oijj3jkkUd49NFH6datG0uXLuWSSy7xbDN58mRee+015s2bx1/+8hd69uzJsmXLGD58eBBcrJ1QituWyO9ZFUDlmXGsvjhGS77V+zJS3QU7l8Ko2UYWL6wwa0MVCFKj6ETG1dwa1HeeMANmjj8Y43+DBmFNmzaNAwcOYLfb2bp1KyNHjvSsW7t2Le+++67X9lOmTGHPnj1UVVWRk5PDddddV2Oft956K3v37uX06dNs376dSZMmNaRoflP9yeOgI8SvPatEbrJafWaA2nC/fpUdSyCwKXujhpDWpShBahSdyLhKDfw5T0QzZo+/Uf6b9okBq9XK+PHjQ3NFUFlMrOIav3E8gntW7Ro8mKl6HqzyRbo+CGKawckDcOh7w8oWToS0LkUJUqPoRMZVauDPeSKaMXv8jfLftMkqELorgbJjAJSKptiJCc0xDEAB4lTqnOr5NHHQ51rXl+0fGlGssMSsV9WBIDWKTmRcza2BP+eJaMfM8Qdj/Ddtsup0OklPTw+NyOWuZDWSx6uCa17VpwZqxNR3e+eim11/s/8L9rKQlyvcCGldihKkRtGJjKvUwO/zRJRi9vgb5b9pk1WbzcakSZO85nUMGlGSrNo1hfs2Wr3mYPVF10VF7Nc7gKPClbCajJDWpShBahSdyLhKDfw9T0QrZo+/Uf6bNlkVQlBaWkoAL/Dyn7Izr5KN4IerwPVmkvZNBEq9z3kqLNVGucxt/w51scKOkNalKEFqFJ3IuEoN/D9PRCdmj79R/ps2WXU6naxfvz7EwwAid45VcN3emdnXv9s7y7SROIQKh7fAsd2hL1wYEdK6FCVIjaITGVepQSDniWjE7PE3yn/TJqs2m40JEyaEpuva3bMaBcMA/rbZv9s7J0hklT7Q9cVkvashrUtRgtQoOpFxlRoEcp6IRswef6P8N22yqus6RUVF6Loe/J2f6VktFInB37eBWBB0bSaw+Hl7Z6l2mcvY8RGxVIWwZOFFSOtSlCA1ik5kXKUGgZ4nog2zx98o/02brGqaxubNm9G0EEwOV1EIQCGRnazaLPCnHho2P2vJev0CSOwElcWMtWwJbeHCiJDWpShBahSdyLhKDQI9T0QbZo+/Uf6btHq5uq7Hjh0bmq7rigIg8ntW7brC49us2HX/bu/oWOCi3wNwo7o6lEULK0Jal6IEqVF0IuMqNQj0PBFtmD3+Rvlv2mRV13UKCgqC33WtOeFUEQAnRPPg7ttgLAh6JeqB3d7pfzOgMEz9gS7K0ZCVLZwIWV2KIqRG0YmMq9Sg+nmi6+yVno9ZMHv8jfLf1MlqdnZ28AU+XQQIdKFQREJw920wVgtc21XHGkgtadEJul8BwG/VtQBR34CFrC5FEVKj6ETGVWrQoPNEFGH2+Bvlv0mrl+t9tpdffnnw32db7hoCcJJmaET2XB5VusL8HVaqAr29M+AWAP6fmoGV6J/OI2R1KYqQGkUnMq5SgwafJ6IEs8ffKP9Nm6zqus7hw4eDfjVw88v/AyJ/vCqARRH0b6ljUQJ8yrPHOI6L5rRVirnMsj00hQsjQlWXogmpUXQi4yo1aPB5Ikowe/yN8t/Uyer+/fuDLnArSoHIH68KYFVgVLKONdALZmsMy7SRANxkggetQlWXogmpUXQi4yo1aPB5Ikowe/yN8t+0yarVamXkyJFB77puo5QAcILIT1ardIUF2Q27vfPRmTlXR1l20FEpCHbRwopQ1aVoQmoUnci4Sg3O5TwRDZg9/kb5b9pkVdd1Dh48GPyeVcXVsxoNwwBURTCkrY7agNs7B0QHMrQLsCiC30V572qo6lI0ITWKTmRcpQbncp6IBswef6P8N3WyGopxFq1x9axGR7IK/VsJ1AZeMH+gXQnADeoaYnAEsWThhdnHLPmD1Cg6kXGVGpzreSLSMXv85ZjVEGO1Whk2bFjQu649PasR/vYqcN3eeS1HbfDtnW/0ARwRLWmllDHOkhnk0oUPoapL0YTUKDqRcZUanOt5ItIxe/yN8t+0yaqmaezbty/orwhr5R6zGgUPWKmKYFSHht/e0VBZ4rwcgKnWVcEsWlgRqroUTUiNohMZV6nBuZ4nIh2zx98o/02brAohOHnyJEIE9x+sdRSNWbUo0DVBYDmHC+aPtMtwCJXBlp/opRwKXuHCiFDVpWhCahSdyLhKDYJxnohkzB5/o/w3Z781rq7rwYMHB3enQnjGrJ6I8LdXATh0hXd/OrcXGxwnia/0QVytbuL36irgz8EpXBgRkroUZUiNohMZV3Np4OsthME4T0QyZoq/L4zy37Q9q5qmsWfPnuB2XVdVEKe4HiQ6EQU9q6oiGNdRC+j2jq/Xqn6gjQZgsvotVJYGtYzhQEjqUpQhNQo98+bNY/DgwSQkJNC2bVuuvfZafvzxx5AeU8ZVatCQ80Q0Yfb4G+W/aZNVgNOnTwd3h6dOAGAXNk4RG9x9NwIWBVrEcM63d77Xe7NXTyFescPOpcEpXJgR9LoUhUiNQsu6deuYPn0633//PatWrcLpdDJmzBgqKipCelwZV3NrEKzzRCRj5viDMf4rIgoGWpSWlpKYmEhJSQnNmzfig02Ht8Gbl3FEtGSY/dXGK0cY8gf1K56yvQetfgPTM8Fi6uskSQQSNu2Mnxw/fpy2bduybt06Ro4c6ddvIs1HibH4GgZQGwfmTwhhSSSRSkPbGNNmDJqmkZ2dHdyu61NFAJwUkT9eFcCqCK7tomENwu2dZdpISkUTOLEX9kfXSwJCUpeiDKmR8ZSUuMbPt2zZstZt7HY7paWlXh/AEydN03zaTqfT833nzp04HA7Pcvd8i9Vth8PhZbv7SNy2EKKGDXjZuq572U6ns05b0zQv21+f6vLDl09uDdzHigafaosTCGJV11/ljO06TziJt7p+Z0EQaxER49O5xslut5OdnY3D4YganwKJU1VVFTt37vQs88enhmDaZDUknCoEoChKktVgUkETPtZGub5sWtSoZZFIoh0hBLNmzWL48OH07du31u3mzZtHYmKi59OpUycAsrOzAcjJySEnJweAnTt3snfvXgCysrLIzc0F4OjRo/zyyy8AbNiwgfz8fAAyMjIoLHS1iatXr6a4uBiA9PR0ysrKAEhLS6OyshKn00laWhpOp5PKykrS0tIAKCsrIz09HYDi4mJWr3Zd6BYWFpKRkQFAfn4+GzZsACAvL4/MTNeczrm5uWRlZQGwd+9edu7c6bdPmZmZ5OXl+e3TgQMH+P/tnXl0FFXWwH9V1QthSQxEErYQRNlERRAZUJAZFUVU0BllXFBH/Y4oqHw4jig6KoqIzijjAoo64LhyZgB1EGQRZREEPggiAooKYZGIGEjCku6uqvf90ekmTRJIL6nurnq/c+rkdqW66t17X793671brw4ePGgrnWryk1eDZ8418GqQ6QnKAA1d8Nezg8FIfmN4qJuRNjrF66cvv/wSgF27dtlGp2j8tGXLFkpKSuqs06pVq4gFmQaQSFa+DPMf4iOjN/cE7k5eOVKUNsrPLPOOBgSMWAMnd0h2kSSSOpMy7UwdGDFiBB9//DHLly+ndevWtR7n8/nw+Xzhz2VlZbRp04aSkhKys7PDIyOapkXIuq6jKEpYVlUVVVVrlQOBAJqmhWWXy4WiKGEZgiMuVWW3240QIiyHRjFDsmmauFyuWmXDMBBChOWa9JA6RadTuwc/xquBzwAF8GjgMxQURFhWEbhV+Papy9NCJzv6KZV1KikpoVmzZjINoK4YhkFhYWGC0wCCD1jZ4YUAAG5V8MdTDNxqYu5ndopc6HhZ8MOqVxJyzlSgXuqSzZA2so67776bjz76iM8+++y4gSqA1+slMzMzYoNgZxP6W5PscrnCndPXX38dnoZ0uVyolfnoVWW32x0hK4oSISuKUk0GImRVVSPkUEdcm6xpWoRcV52Op0dNOoVSXELTnHbQqTY/gYLPCP4VlbJbFQw9xcSs7CZMFHyVb7NKB53i9ZOiKBQWFoYDOTvoFI2fgHAaQF11igXHBqsAGRkZiT1hZbBql5xVU8ABP+FGKCH8Znjw71fvwZH9CTxxckl4XbIh0kb1ixCCkSNHMmvWLBYvXky7du0sua70q7NtUC/9RJrhZP+DNfo7NljVNI1OnTpF3B3EzaHKnFUbvBAAwBAKn+zSMEQC1yQp6Au5XSFwGNa9lbjzJpF6qUs2Q9qo/hkxYgRvv/027777Lk2aNKG4uJji4uJ6XVZG+lXaoF76iTTC6f63Sn/HBqu6rrNmzZqYn0yrEZutBuBWBbd0SFwaAACKAr3uCMqrXwMjgfZPEvVSl2yGtFH9M2XKFEpLS+nfvz8tWrQIbzNm1N/axtKv0gb10k+kEU73v1X6O/Z1q4qikJ2dHc71SAiVaQB2GVk1BWwvVxI/vXPGNbDwUSjdAVvmwOlDEnwBa6mXumQzpI3qn2Q8Kyv9Km1Qb/1EmuB0/1ulv2NHVjVN49RTT03s0HUoWLXJyKohFD7foyZ+esedAT1vC8orXoA0X5CiXuqSzZA2sifSr9IG9dZPpAlO979V+js2WNV1nRUrViRu6No04UgwDcAuwapHFQzvbOCph+mdHgtOwSfcsHstFK1I+PmtJOF1yYZIG9kT6Vdpg/rsJ9IBp/vfKv0dG6yqqkqrVq3CyynETcUBEMGlSw7YJA3AELD+VwWjHtqgX8niP0blKyC/+EfiL2AhCa9LNkTayJ5Iv0ob1Gc/kQ443f9W6R/T2SdPnky7du1o0KABPXr0YNmyZcc9fubMmXTp0gWv10uXLl2YPXt2rcfecccdKIrCpEmTYilanVFVlbZt2ybOwJUpAGWiIQGbpAIbQuHLvYmd3ikY83H4/dKvGZdhCgW2zoe9mxN2DatJeF2yIdJG9kT6VdqgPvqJdMLp/rdK/6jPPmPGDEaNGsXYsWMpLCykb9++DBw4kB07dtR4/MqVKxk6dCjDhg3jq6++YtiwYVx77bU1vnLrgw8+YNWqVbRs2TJ6TaJE13WWLl2auKFrm+WrQnB6Z1RXvd6md7aLFnxi9gx+WPFivVzDChJel2yItJE9kX6VNqjvfiLVcbr/rdI/6mD1ueee47bbbuP222+nc+fOTJo0iTZt2jBlSs3ve580aRIXX3wxDz74IJ06deLBBx/kwgsvrDZyunv3bkaOHMk777wTfqtCfaKqKu3bt0/gyGowX/UAjRNzvhRAF/D5Typ6PbZBU/XLAfAXvg9lP9XfheqRhNclGyJtZE+kX6UNrOgnUhmn+98q/aM6u9/vZ+3atQwYMCBi/4ABA1ixouaHZFauXFnt+EsuuSTieNM0GTZsGPfffz+nn376Ccvh8/koKyuL2IDwqxwNw6hR1nU9LJumSYsWLcLv3A29Kq+qHAgEIuTQ0jAhWQhxVA6/vaoxCgKvFjxWReBVj8qhu09VOSprx8juGmSXInApQdmtCrQaZM8xslpVJih7q8qaQKkmh8ouEAI2lyqYQqk3nTbSnlVmJzyKgblycjU/1eabmP1UKQMRsmmaEXLoLrE22TCMsCyEIC8vL/zqxRPVvXTQqTY9YtVJVVWaN29OiHTWSXIUp+frgbSBKRTWl6jBlC4H4nT/p2TO6r59+zAMg9zc3Ij9ubm5FBcX1/id4uLiEx4/ceJEXC4X99xzT53KMWHCBLKyssJbmzZtANi4cSMAmzdvZvPmYA7khg0b2Lp1KwCFhYVs27YNgFWrVrFgwYLwk2x79uwBYOnSpezbF3wT1eLFizlw4AAACxYsoLy8HIC5c+dSUVGBruvMnTsXXdfRy38BgiOruRkwrnuww8tvDA91C8odsgSjzwjKZ2YL7uoSlHueLLi1Y7Aj7JsnuOHUoHxxK5PfFwTly/NNLs8Pyr8vMLm4VVC+4VSTvnnBTv/WjiY9Tw7Kd3UxODM7KI8+w6BDVlB+qJtBfuXg77juBrmVb0l75lyDTA94taDs1SCngeCZc4NPedanTq/oVwAg1rwBRw5E+Gn16tXs3LkTICF+qqioYO7cuQCUl5ezYMGCoN8OHGDx4sVAsJ4vXboUgD179oRvrHbu3Mnq1asB2LZtG4WFhQB8++23zJ8/H13X61T30kGnrVu3smHDBqBuv6cT6aTrOvPmzePXX39NW51qa+OcjK7rLF682LFToCBt4FEFY85ydhqAk/1vlf6KiGIl6Z9++olWrVqxYsUKevfuHd4/fvx43nrrLbZs2VLtOx6PhzfffJPrrrsuvO+dd97htttuo6KigrVr1zJo0CDWrVsXzlUtKChg1KhRjBo1qsZy+Hw+fD5f+HNZWRlt2rShpKSE7Ozs8MiIpmkRsq7rKIqCpmn4/X5KSkpo3rx5eOQnNMoakgOBAJqmhWWXy4WiKGEZgo5yuVzw6RMoy//ONP0Sxuk34dHAZyioCNwq+Myg7FLBbyqoisClBGVNEWhVZFWBwDFyaFRVFwpuVWCKYGJ7VdmjCowqsi6Cd70eVaCbYKLgVQWBkKwJ/AaICDkYsPoM0BB0yRZ8sz84FltfOhlCMN8zhg7qLp4NXMtUMZgtTwwM+6wm38Tsp0rZ7XYjhAjLpmliGEZYNk0Tl8tVq2wYBkIIXC4XgUCAffv2kZubGx4tPF7dSwedavsNxaoTwM8//8zJJ58ctlm66XTw4EGys7MpLS0lMzOzxrYp3SkrKyMrK6vOOpqmyb59+8jJyXHsyJKTbBB6OLYqKoIOWYLvShVMjo6ubn96kJVFSxpO8n9NRKt/tG1MiKgeW8/JyUHTtGojDHv37q02ehoiLy/vuMcvW7aMvXv3kp+fH/6/YRjcd999TJo0ie3bt1c7p9frxev1VtsfWpS26uK0VeVQJwjBIDovLw8gwsBVj6maO3tCuXKN1QOiMQIFX7D/w0TBZx6V/SFZKPgrbxMMcXTZj9pkvcoUS8CsWfbXQfZVlY3a5Mrro/D1fqrtT7xOCi/pg3nB8zK3u+Yy3XdJ2G9V/VGbHJWfqsiKooTlUFBSV7lqvXK73bRo0YJjqa3upYNOdZGj1amqjdJRJyd2RCfi2PQOJ+J0G5gobCl1ZgoASP9bpX9Ura/H46FHjx4sXLgwYv/ChQvp06dPjd/p3bt3teMXLFgQPn7YsGFs2LCB9evXh7eWLVty//33M3/+/GiKFxWBQID58+eH89/i5kgwqrPTA1ZeVfB4dz2cn1qfzDF786OZR7ZykBu1RfV+vUSS8LpkQ6SN7In0q7SBlf1EKuJ0/1ulf9QLgo4ePZphw4Zxzjnn0Lt3b6ZOncqOHTsYPnw4ADfddBOtWrViwoQJANx7773069ePiRMnMnjwYD788EMWLVrE8uXLAWjWrBnNmjWLuIbb7SYvL4+OHTvGq1+taJpGz549E/eKsFCwKhol5nwpQMCEad9pBCx4rsRE5WV9CH/3vML/uD4G/2HwNKz/CyeAhNclGyJtZE+kX6UNrOwnUhGn+98q/aMOVocOHcqvv/7KuHHj2LNnD127dmXu3Lm0bdsWgB07dkRMl/Xp04f333+fhx9+mEceeYT27dszY8YMevXqlTgtYkBVVZo2bZq4E4bSAGzy9ioITu9sP2jd9T40+3CvOZN89RdYOw16j7Du4nGQ8LpkQ6SN7In0q7SB1f1EquF0/1ulf0xJWHfddRfbt2/H5/Oxdu1a+vXrF/7f559/zvTp0yOO/8Mf/sCWLVvw+/1s3ryZq6+++rjn3759e60PVyWKQCDAxx9/nMA0gOCT23YaWfVqgok99fCSVfWNjovJxuDghy9egECFJdeNl4TXJRsibWRPpF+lDazuJ1INp/vfKv0d+8SAy+Wib9++EQ9RxIUNc1b9Bjy/UcNvWHfNmUY/dotmcLAYCt+y7sJxkPC6ZEOkjeyJ9Ku0QTL6iVTC6f63Sn/HBquKopCZmYmiJOApRt0P/uA8yH5hn2BVoFB8REFg3ZOeAVxM0a8Mflj+POi+438hBUhoXbIp0kb2RPpV2qC2fqJgzMc1LnVlN5zuf6v0d2ywGggE+PDDDxMzdH0ktL6TQjnp8VBQXfBqgn/0tn5659/GBdCkJZTthrXTLb12LCS0LtkUaSN7Iv0qbZCsfiJVcLr/rdLfscGqy+ViwIABiRm6DgWrGSchbGRSvwF/XWv99I4PD1xwf/DD0mfBfwhI3Tv1hNYlmyJtZE+kX6UNktVPpApO979V+tsnsoqBxOWrBlcCIMNeTwQKoKLyrVaWc/YwyC6AQ7/AqleSUYKocGpDFQ3SRvZE+tXZNkhqP5EiONn/YI3+jg1Wq76HPG7CI6vZ8Z8rhfBq8My5Bt4kLB9XMHYB9/58WfDDF/+okmqReiS0LtkUaSN7Iv0qbZDMfiIVcLr/rdLfscGqy+XisssuS3AagL2CVZ8Bf1mthV+zajX/NftA8y5QUQorXkxOIepAQuuSTZE2sifSr9IGye4nko3T/W+V/o4NVoHE3QkcrkwDaGivNAAFaKBh4VoAkZio8LuHgx++nEIOpUkqyYlx6l11NEgb2RPpV2fbINn9RCrgZP+DNfo7NljVdZ0FCxYkNg2gwUnxnyuF8GgwroeBJ5nTOx0vg1Y9IHCYEa4PkliQ2kloXbIp0kb2RPpV2iAl+okk4nT/W6W/Y4NVt9vN4MGDcbvd8Z+sIvj2KvulASjcu9KFz0jiPbOiwIV/BeAGbRFtleLklaUWElqXbIq0kT2RfpU2SIl+Iok43f9W6e/YYFUIQVlZGUIk4BnGI6Fg1V4jqwqCvAyBkuznPE/pD+0vxKMYjHG9l9yy1EBC65JNkTayJ9Kv0gYp008kCaf73yr9HRus6rrOsmXLEjN0HRpZtWEawP92TZHpnQFPYgiFgdoa2P5FsksTQULrkk2RNrIn0q/SBinVTyQBp/vfKv0VYYPbgbKyMrKysigtLSUzM9P6Arz2O9i9Fv74HgXT096cKcX2pweF5XcevpobXJ9Cy7Ph9sWgOvZeS5IEkt7OWIATdJTETiwvZanahksksbYxju3tTdOkpKQE0zTjP5lN0wBUBAWNBWoSp3dCb60qGPMxz+t/oFxkwE+F8PW/k1amY0loXbIp0kb2RPpV2iAV+olk4nT/W6W/Y4NVwzBYs2YNhpGAxeFsmgbgVuFPHQzcKVJL9pHFZH1w8MOnj4P/cHILVElC65JNkTayJ9KvzrDB8V51nWr9hNU4wf/Hwyr9ZRpAvAhB4LFmuBWD31S8SDHNrL2+w/Di59vcv0LpDvjtWLjgL8kuksQhOGGK3Ak6SqInlun/EDINQFIVmQYQJaZpsnfv3viHrv2HcCvBO4pSGiWgZKmDiqBTlplS0zs+PHDRo8EPy56D/UXJLRAJrEs2RtrInki/ShukYj9hJU73v1X6OzpY3bhxY/wGrkwB8AuNI3gTULLUwaXCkAITV6rVkq6/h7bng34E5j+U7NIkri7ZGGkjeyL9Km2Qsv2ERTjd/1bpL9MA4uXnb2BKH34RmfT0vWLttR3K9qcHwd7N8Mr5YOpw/b+hw4DwVJWcdpLUB06YIneCjpLokWkAkkQh0wCixDRNdu/eHf/dQOVKAGXCXikAAKoi6NbURFVS636mYMzHFDz3I6/6LwGg6O0RdBwzO2nlSVhdsjHSRvZE+lXaIFX7Catwuv+t0t/RweoPP/yQsDSAMpvlqwK4FOjf0sSVom/R+4f+e/aIprRV93Kn66OklSNhdcnGSBvZE+lXaYNU7yfqG6f73yr9ZRpAvKx/Fz64k8+Ns7gl8IC115Zwmfolkz0v4BNuLvY/ww6RG/F/OQUlSRROmCJ3go6S6JFpAJJEIdMAosQ0TYqKihKXBkDDBJQqtdAUwW+am2gpPL0z1+zFUuMMvEqA8a43IAlPpCasLtkYaSN7Iv0qbZAO/UR94nT/W6W/o4PVhORZVKYBlNowZ1VToFszgZbS0zsKj+h/okK46att5Frtc8tL4PScpbogbWRPpF+lDdKjn6g/nO5/mbNaz7hcLvr06YPL5YrvRBWlgP3WWAXwmwqvbNbwm6ndChWJPP6mXwvAw653yKXE0usnrC7ZGGkjeyL9Km2QLv1EfeF0/1ulv2ODVcMw+P777+N/RVh4NQB7pgH0b5Ee0zv/NAay3mxPpnKYJ93/xMp0gITVJRsjbWRPpF+lDdKpn6gPnO5/q/R3bLAqhGD//v3E/XxZKA2AxgkoVWqhKlDQRKCmwQ2zicr9gTvwC42LtXVcqa607NoJq0s2RtrInki/ShukUz9RHzjd/1bp79hg1eVy0bNnz8SlAdgwZzVgKkz/TiOQJtM7W0VrXtSvAuAx93SaUWrJdRNWl2yMtJE9kX6VNki3fiLRON3/Vunv2GDVMAy2bNmSuDQAm64GcGlrI62md6YYV7LZzKepcpAJ7tfBgrvdhNUlGyNtZE+kX6UN0rGfSCRO979V+js2WAU4cuRI/CfxlQNQbsOcVVWBkzyk1fSOjovRgTvxCRcDtLWwdrol101IXbI50kb2RPrV2TZIx34i0TjZ/2CN/o4NVjVN4+yzz0bTtPhO5CsDoJyMBJQqtQiYCu//mH7TO5tFW57VhwY/zH8I9n0ffEVr5ZZoElaXbIy0kTUsXbqUK664gpYtW6IoCh988EG9Xk/6VdogXfuJROF0/1ulv2ODVcMw2LhxY3xD16YZHlk9aMORVZciGNLWwJWG0ztvGANZbpwOgcMw63Zc6PV2rYTUJZsjbWQNhw4d4qyzzuKll16y5HrSr9IG6dxPJAKn+98qEb5pqgAAIABJREFU/Z2ZEZwo/AcJLZFkx5HVdEag8ufAcL5s9Aj8VMgo10z+FhptlUhsysCBAxk4cGCyiyGRSCQJxbEjq5qm0bVr1/iGritHVf1Cw4c7QSVLHXSh8EGRhi7Sc3qnmGZwxT8AuEv7iN7qN/VynYTUJZsjbZSa+Hw+ysrKIjYgPEpiGEaNsq7rGIaBpml06tQJRVHC+0NvsqkqBwKBCDm0zE1IFkJUk4EI2TTNCFnX9ePKhmFEyHXV6Xh61KSTpml07NgRVVVto9OxfvJqAgUBCLxa8K9SKetC4cMiFa0ymlAReFURljs8NIeCMR9zyoNzUkqnRPlJCEHXrl1RFMU2OkXjJ4DOnTujaVqddYoFxwarhmFQWFgY39B1OF+1IZCeAd3xcKuCP55i4FbTeHrn9CFw9o2oiuAF94v18narhNQlmyNtlJpMmDCBrKys8NamTRsANm7cCMDmzZvZvHkzABs2bGDr1q0AFBYWsm3bNgzD4NNPP6WoqAiAFStWsGfPHiCYP7tv3z4AFi9ezIEDwZVTFixYQHl58EZ/7ty5VFRUoOs6c+fORdd1KioqmDt3LgDl5eUsWLAAgAMHDrB48WIA9u3bx9KlSwHYs2cPK1asAGDnzp2sXr0agG3btlFYWAjA1q1b2bBhQ510Ali9ejU7d+6sk06GYTBv3jxKS0tto9OxfnrmXINMD3i1oOzVINMTlN2q4JbTDMb1CP628xvDQ92CcocswegzgvKZ2SKldEqUn7744gsKCwspKiqyjU7R+Ombb75hyZIlGIZRJ51WrVpFLCjCBivZlpWVkZWVRWlpKZmZmXX6jmEYbN26ldNOOy320Z6dq+GNiykym3OBf1Js50hhNEVwcSuThbtVjDQdXd3+9CDwH2bzk73orO5gjdmBno+uAC1xI+EJqUs2xw42iqWdSSaKojB79myGDBlS6zE+nw+fzxf+XFZWRps2bSgpKSE7Ozt8cxEaNQnJuq6HR1O//fZbTjvtNNxuN7quo6oqqqpGyIFAAE3TwrLL5UJRlLAMwRGXqrLb7UYIEZZN08QwjLBsmiYul6tW2TAMhBBhuSY9atIpJNekR006CSHYsmULHTt2xOVy2UInVVXpOHYOfiM4hurVRKUcDFh9RnB4xqOBbsLFrQyWFqsc1lVUBG4VfKaCisClBl/JqiqC7564NKk61UfdCwQCbNu2jfbt26Moii10iqbu+f1+vv/+ezp27BhuR46nU0lJCc2aNYu6HXVszmpo+iouKqqOrNoPQyh8sis9A4sIPA0ZHhjFfz1j6al+B4seg0vGJ+z0CalLNkfaKDXxer14vd5q+0M3FFVvLKrKVRcA79KlS437q8putzsmWVGUsBzq7Ooq11b2uuhUF7lqeU8//XTb6eQzlFrk4F9RRf5k19FzmCj4zKOyPyQLJXytZOlUH3XP6/VWa9vSXado6p7H44loA6LRIxpiSgOYPHky7dq1o0GDBvTo0YNly5Yd9/iZM2fSpUsXvF4vXbp0Yfbs2eH/BQIBHnjgAc444wwaNWpEy5Ytuemmm/jpp59iKVqd0XWdNWvWxJw/AYTTAA7a9OEqtyq4pUOapwFUUiTyuD8wPPhh5Uuw6cOEnTshdcnmSBvZE+lXaQM79ROx4HT/W6V/1MHqjBkzGDVqFGPHjqWwsJC+ffsycOBAduzYUePxK1euZOjQoQwbNoyvvvqKYcOGce2114bzFg4fPsy6det45JFHWLduHbNmzeK7777jyiuvjE+zE6AoCtnZ2eGprJgI5azacNkqAFPA9nIF0yZt0HyzJ6/qg4IfPhgBezcn5LwJqUs2R9rIGg4ePMj69etZv349EMwzW79+fa3tc7xIv0ob2K2fiBan+98q/aPOWe3Vqxfdu3dnypQp4X2dO3dmyJAhTJgwodrxQ4cOpaysjHnz5oX3XXrppWRnZ/Pee+/VeI01a9Zw7rnnUlRURH5+/gnLlLRcshUvwoKHmWWcz+jAXdZdV1Jntj8dDE5DLwPQMPih46tQtJwd5skM9j/BfjLDx0kktZEOOauff/45v/3tb6vtv/nmm5k+ffoJv58OOkqsoT5eoCLbWUmsbUxUI6t+v5+1a9cyYMCAiP0DBgwIPz12LCtXrqx2/CWXXFLr8QClpaUoisJJJ51U4//jXW4FoKKigi+++AJd12NfHqIi+PRnucgIL+MBRMjHLuPhCcnKUVk7RnbXILsUEV502a2K8HuYq8qeY2S1qly5Hqy3qhxejqTmpUm8qsldnXU8qkhbndqNmUPBmDlhnUxUAle/AdkF5Ku/MNXzPB4CcS3j4fP5wnXJjkuTJEInXddZvnw5fr8/7XVKZfr37x+2X9WtLoFqLOi6zooVKxw7BQrSBh5VMLyzEW7vnYbT/W+V/lEFq/v27cMwDHJzcyP25+bmUlxcXON3iouLozq+oqKCMWPGcP3119cadce73ArAunXryMjIQFXVmJeHMI8Eg+QjSkZ4GQ+A3AwY1/3Ey3jc1SUo9zxZcGvHYEfYN09ww6lB+eJWJr8vCMqX55tcnh+Uf19gcnGroHzDqSZ984KNxK0dTXqeHJTv6mJwZnZQHn2GQYesoPxQN4P8xkE7jutukFuZblvT0iSN3NDxJDCEfXTK9MDcz1dxUfFdHCSDnuq3POn6Jwf27495GY8ff/wR0zRRVdWWS5MkQidVVSNuLNNRp9raLCejqiqtWrUKP4ThRJxuA0PA+l8VDGfGqo73v1X6R5UG8NNPP9GqVStWrFhB7969w/vHjx/PW2+9xZYtW6p9x+Px8Oabb3LdddeF973zzjvcdtttVFRURBwbCAS45ppr2LFjB59//nmtwWq8y60kbHmID+9CWf8uTwf+yKvGFXi04FOTCiIsH28ZD5cSlDVFoFWRVSX4vuWqcmgEUhcKblVgiuDT+lVljyowqsi6CD6B6VEFuhl8MtOrCgIhObwcyfGXJrGrTheoX/FP9zNoisC86HGMXiNScgmZZC9NInUK6nHw4EGys7NtPUUu0wAkIWQagKQ+sCQNICcnB03Tqo0w7N27t9roaYi8vLw6HR8IBLj22mvZtm0bCxcuPK4SXq+XzMzMiA0il1upSXa5XBFLLixfvjzcOYbuCqrKbrc7Qg4lEIdkpfINVgfJQKCEl/eoKgeX8Tgq+0OyOCobx8iBGmRdKOE3SQVMJbzuaVXZf4xsVpUrX1rgqyobCqKaHCq7gluFOyund+yiU1U9lphnMU6/CQB10aO4NwdXqVBVNWKJlZpkTdPCshAinAZQl7pXW32Lqu5VLkFSVYbqS5NUlaPRqTY9YtVJ13VWrlwZnkpPZ50kR9F1naVLlzp2ChSkDTyqYFRX3dFpAE72v1X6R9X6ejweevTowcKFCyP2L1y4kD59+tT4nd69e1c7fsGCBRHHhwLVrVu3smjRIpo1axZNsWJCVVXat28fXwdUuc5qmU1XA9AFfP6Tim7jNuhNYwD/1C8FIDBzODc/9BQFYz6OalQhIXXJ5kgb2RPpV2mDaPqJaNvWdMDp/rdK/6hXZx09ejTDhg3jnHPOoXfv3kydOpUdO3YwfHhwDcubbrqJVq1ahVcGuPfee+nXrx8TJ05k8ODBfPjhhyxatIjly5cDwaj8D3/4A+vWrWPOnDkYhhEeiW3atCkejydRukYQyrOIC5uvs2oKhfUldl+OQ+EJ/UaaKWUM1lYwxT2J6/1jWS9OrfMZElKXbI60kT2RfpU2cEY/UTtO979V+kcdCg8dOpRJkyYxbtw4unXrxtKlS5k7dy5t27YFYMeOHeGHKwD69OnD+++/z7Rp0zjzzDOZPn06M2bMoFevXgDs2rWLjz76iF27dtGtWzdatGgR3o63YkC86LrO4sWL43wpQDANwK7rrHpUwZiz7D+9I1D5c2A4S4wzaaj4mOZ5hlOVXXX+fkLqks2RNrIn0q/SBk7pJ2rD6f63Sv+o11lNRWJJ2DVNk3379pGTkxP78PWzp8GhvQz0TWCzaBvbOVIYFUGHLMF3pUdzQu1MQyp41zOebuoPFIts8u5eBDknHmFNSF2yOXawkRMePopWRzv4NV7saoO6TtfH0k/Y6UEru/q/rkSrvyUPWNkJVVVp3rx5XJXryMHg0kLl2HNk1URhS6nqiEAV4DAN+JP/fraYbchT9sObl8O+70/4vUTUJbsjbWRPpF+lDZzWTxyL0/1vlf7OtC7Bh7rmz58fXmA8aowAGUpwgfNyYc+cVa8qeLy7Hn4BgBPYTyY3+B9ii9kGyvdQ/OJF/PbB14/7nbjrkgOQNrIn0q/SBk7sJ6ridP9bpb9jg1VN0+jZs2fEUlZRUZmvCvZ9wCpgwrTvNAKp/+KehPIrWeGANU/Zz3ueJ487whp3XXIA0kb2RPpV2sCp/UQIp/vfKv0dG6yqqkrTpk1jH7qufNXqYeHFwJ6V1ERh+0Fn5Ksey7EBK9MuhT1f1Xhs3HXJAUgb2RPpV2kDJ/cTIP1vlf7OtC7BoeuPP/449qHr0EoANh1VBfBqgok9dbyaM6d3QgHrRrMADv0C0wbBtmXVjou7LjkAaSN7Iv0qbRBLPxFab9UOa6463f9W6e/YYNXlctG3b9/w222iJrTGqk3zVQH8Bjy/UcNvJLskyeNXsrjO/zAU9AV/Obx9NWz6KOKYuOuSA5A2sifSr/azQbRBpNP7Cbv5P1qs0t+xwaqiKGRmZoZf+Rg14ZFVe64EAMHXxhYfOfr6UqdSTkO44T/Q6XIw/PDvm2H1a+H/x12XHIC0kT2RfpU2cHo/4XT/W6W/Y4PVQCDAhx9+GPvQdeWrVu26EgAEp3f+0du5aQARuBvANW9C95tAmDD3z/DxfWAE4q9LDkDayJ5Iv0obOL2fcLr/rdLfscGqy+ViwIAB8acB2Dhn1W/AX9c6d3qnGpoLrngBLnoMUGDN6/D273EFDsZXlxxA3L83SUoi/Spt4PR+wun+t0p/xwarQHzG9YVGVu2cBgAVRvCvJEjBg3MpmNOB2/2jwd0Iti2B1y/Etf/ELw9wOk5tzO2O9KuzbSD7CWf7H6zR37HBqq7rzJ07N/b32VbmrNp5ZNWrwTPnGnjtuTJXXCwye3DpwUfYJXJQSn5Aef13GIXv2uYJ10QT9+9NkpJIv0obOL2fcLr/rdLfscGqy+Xisssui/2OIJSzauMHrHwG/GW1hs+h0zsnYovI50rfk4hTfovL9OP66C6ecr2GF3+yi5ZyxP17k6Qk0q/SBk7vJ5zuf6v0d6Z1K9F1PY6c1crVAGz8gJUCNNCCOUlOnuIBah0tLSETbvgPgcUTcH3xd653fUY39UfY2wmad7a4lKlNXL83Scoi/Zr+NohnNkj2E+nv/3ixQn/Hjqzqus6CBQviSAOw/8iqR4NxPQw8Dp3eqSu6KZh7+EyM6/7NPpFJF7UIXr0AVr4MpkPfQXgMcf/eJCmJ9Ku0gdP7Caf73yr9FSFE2t8MlZWVkZWVRWlpKZmZmdZcdNplUPQFI/z38LH5G2uuKUl5TmY/E92v8TttfXBHQV/O2/IHdnMyANufHhTcXWUkI7RPktokpZ2xGCfoKKlOKuTZy3bQGcTaxjh2ZFUIQVlZGTHH6uGcVTunAQjyMgSKYyd36kZVO/1CNrcG7ofLJwVXC9i+jPneB7hF+wQV07EPYMX9e5OkJNKv0gZO7yec7n+r9HdssKrrOsuWLYs7DcDOr1v1aPC/XZ07vVNXqttJgXP+BHcuhza/obFSwWPufzHb81dOV7YnsaTJI+7fmyQlkX6VNnB6P+F0/1ulv0wDiJWJBXBkPxf5nuF70dqaa0rShvCUlmny0CN/ZozrPTKVw+hC5U3jEv6hX0UZjSOPlaQ0Tpgid4KOkuqkwmyPbAedgUwDiBLTNCkpKcGM5QEYIY6us2rjkVUVQUFjgerQ6Z26clw7qSrvGhdyoe9Z5hi/waWY3Oaax+fe0dyoLUTDGeu9xPV7k6Qs0q/SBonqJ0IpUqkQOEeD0/1vlf6ODVYNw2DNmjUYRgzBQuAImMEhbzuvBuBW4U8dDNyOrSV1oy52+oVsRgbu4Sb/A3xntqKpcpAn3dOY5xnDnx56koIxc6wrcBKI6/cmSVmkX9PbBokIDp3eT6Sz/xOBVfrLNIBYKP8Z/t4BUyi0972FcG7ML6mFqlNax3YGGgbXaYsZ7fo3TZWDAKwzT6X7LX+HU/pbWEpJNDhhitwJOkqOkqqjmDIlwL7INIAoMU2TvXv3xjZ0HXq4igxbB6oqgk5ZpkwDOAHR2slA423jYvr7nucV/QqOCA/d1e/hX4Nh+uXw45JgqgnpOzV2LHH93iQpi/SrtIHT+wmn+98q/e0baZ0A0zTZuHFjXMGqnZetAnCpMKTAxOXYWlI3YrVTGY14Wr+Ofr5JTNMvAc0D25fBv66EqRfAxpm2yWmN6/cmSVmkX6UNnN5PON3/Vukv0wBi4YfP4K0hbDHbcKl/Yv1fT+IItj94FiyfBIVvg34EgB3mybxuXMZ/jAvY9PTvk1xCZ+OEKXIn6Cg5SqrO2Mg0APsi0wCixDRNdu/eHePIauVKADYfWVUVQbemJqqS9vcz9UrC7JTVGgb9Df73G54L/IFfRRPy1V8Y536TVd4RMGc07NmQmEJbTFy/N0nKIv2afjZIdGpRffQT6ZT+lG7+TzRW6e/oYPWHH36ILw3AxstWAbgU6N/SxKUkuySpTcLt1KgZLxhXc57vBR4O/IltZi5NlCPwf2/Aq33htd/BurfAfyhtGvW4fm+SlEX6VdrA6f2E0/1vlf4yDSAWlk+CRY8y0zif+wJ31f/1JI5GwaS3uol3u22CLXPCy6bhbsiHFd340OjDMvNMArgAOYVWXzhhitwJOjqVVL+hrQ3ZntkLmQYQJaZpUlRUFNvdwKFfAPhVZCW4VKmFpgh+09xEk2kAx6W+7SRQWWF2pWDdtZxz+EWeDvyR7WYuBA4zWFvBPz1/Y7X3Lp5yvU4fdSMYgfB3U2XUNa7fmyRlkX6VNqjv9i9V2rDacLr/rdLf0cFqzHkWlcHqPmHvkQdNgW7NBJpDp3fqipV22kcWrxhX0t//HEN84/infim/iCyylYNc71rMu56n4Jn28J/bYONMmnC4/gtVB5ye12VXpF+lDZzeTzjd/1bpL9MAYuGtq+CHxdznH85Ms1/9X08iOQ4qJr9RN3GluoKLtHXkKGXh/wWExhqzI8vNM1hudmWjaMePT18BRE4Lyqm2E+OEKXIn6OgkUnlEMlpkG2UPYm1jXPVYppTGMAy2bdtGu3bt0DQtui8frBxZxf5pAH3zBMuKFQzh0NvmOpBsO5mVaQIrzK6oukk35XsGaGu5SF3LqepP9NE20UfbxF+YQaloCDMuhHYX0FkJ8K1og2nBBEtcvzdJyiL9mno2sDpAtar9q0mvVAhgU83/VmOV/o5NAxBCsH//fmIaWD60F4B9Ns9ZVRUoaCJQZZx6XFLJTiYq60QHntav4yL/3/it7+88EriF+cY5lIkMspTDsPm/MPfPzPM+yAbv7bzlfgo+ewq+/xQqSms8b7x5Y3H93iQpi/SrtEEqtX/JwOn+t0p/mQYQLaYJT+SAMOhV8RI/07R+ryeRJAgNgzOUbXxwqR+KvqD8hy+DS2JFoECz9pB3BuSdCS3OhLwzKXhyDZAaIxnJwglT5E7Q0U7YaZo/XpzcNqUTMg0gSgzDYOvWrZx22mnRDV0f2Q8i+ArMX7F3Y64pgotbmSzcrco0gOOQLnYy0FgvTqVgHkAXVG6jg7KLHup3jO9xGHZ+Cfu3w6/fB7dvZoe/u8p7ElvMfJi3DHJOg5wOwa1xc1BOrHPMvzdJSiP9Km2QLu1ffeF0/1ulv2ODVYAjR44dVaoDlSkAZGSjV9jbfKoCJ3mCf420H3+vP9LVTiYqW0Q+W4x83lkNcCXNKKWLWsTpynbGdPND8Qb49QdylQPkagdg1TFv0GqQFQxam50GTdvBSflwUtvg3yZ5oB5tvGL6vUlSHulXZ9sg1dq/ZDw46mT/gzX6yzSAaNm2FN68AnI6ULDrsfq9lkSSAjSkgk7KDk5Td9Ne+Sm8FWi/gDjOciWqG05qEwxcs9pAkxbQJDf4t3FeUG6cC5o76jKFOiQrp/6cMEXuBB3thEwDqDsyTSA1kGkAUWIYBps3b6Zz587RDV0frBxZbdS8fgqWQrgUweX5JnN2qOgOnN6pK3a302EasE50YJ3RIWL/9icuhJIfYN93sO97OLCdL/6vkNbKL7RUfsVtBqDkx+BWKwo0bFYZwDYPyg2bQkZTaNiUkR8UUUITDojGzB0zOPh/t71fc5xOxNyO2oj6tkGqB6R2b/9OhNN/A1bpH1OwOnnyZJ599ln27NnD6aefzqRJk+jbt2+tx8+cOZNHHnmEH374gfbt2zN+/Hiuuuqq8P+FEDz++ONMnTqV/fv306tXL15++WVOP/30WIpXL4QajD9pn/OoG+b8qCe5RBJJknE3gNzTg1slN6wM/k40DHLZT2vlF9oov9Ba3UfPJvs5r40X5dDP/LRrGydTilsx4PC+4PZz9Uu85Kny4fmHgn9dGaz2eikXGTD1WfA2AW9m5dYkcmuQBZ5G4G5Y+TejitwwuKn2WhQl2vZZknqkeoCaztSUJiDXnE59ok4DmDFjBsOGDWPy5Mmcd955vPrqq7z++uts2rSJ/Pz8asevXLmSvn378sQTT3DVVVcxe/Zs/vrXv7J8+XJ69eoFwMSJExk/fjzTp0+nQ4cOPPnkkyxdupRvv/2WJk2anLBMiZi6OtEabqH//9k1g5GuD5muD+Ax/ZaYriWRSEDBpCnlNFcOkKvs52TlACdxkGzlICdRTlPlINlKeXhfc+0gmAm+Sew9Ei4ZX6dD02GKPNr2+VjSQUc7cKKASZJayAA2ccTaxkQdrPbq1Yvu3bszZcqU8L7OnTszZMgQJkyYUO34oUOHUlZWxrx588L7Lr30UrKzs3nvvfcQQtCyZUtGjRrFAw88AIDP5yM3N5eJEydyxx13VDunz+fD5/OFP5eWlpKfn8/27dvJzs7GMIJP62uaFiHruo6iKMH9cx9g16Yv+dWnoACiclOPI5tAvvILJyulvBgYzKvGFXg08BugAG4N/IaCggjLKgKXCn4zKGsqBEwFVQm+ni5gKmhKcI2648muyvcu60LBrQpMAcYJZEOAGZJNMFHwqAI9JGuCgAEiQiask1sVXNXWZHaRhm5iC53qw09ezeTKNiYf7NAI/ZrSXadE+0lTYUhbgw+LVPymGpNO6x65BLOiFOPQr/zxpcU04QiZ6hEaCB+NlcOMvbA1WuAQ7y77hsbKETLw0UQ5TCN8nHGyG6EfBv8RlMBh0CsfCDhvFMZ5/1tjG6HrOqqqoqoquq5z8OBB2rZty4EDB8jKSs01lqNtn+NtSwE2bNhA165dcbvd1WwWkgOBAJqmhWWXy4WiKGEZQNf1CNntdiOECMumaWIYRlg2TROXy1WrbBgGQoiwXJMetfUPtelRVe7++CfolXX7qrYGs4tUAhF1O71+o7G2O0LAlfkGn+xWORRQbaFTNH5qoAkGthbM2algCqWaHl/99aKE171U+j35/X42bdrEGWecEW5HjqdTSUkJ7dq1i74dFVHg8/mEpmli1qxZEfvvuece0a9fvxq/06ZNG/Hcc89F7HvuuedEfn6+EEKIH374QQBi3bp1EcdceeWV4qabbqrxnI8++mgohpSb3OQmN0u3nTt3RtNsWkYs7bNsS+UmN7klY4u2HY0qZ3Xfvn0YhkFubm7E/tzcXIqLi2v8TnFx8XGPD/2t6ZiioqIaz/nggw8yevTo8GfTNCkpKaFZs2bhu/0TUVZWRps2bdi5c6ec7qoFaaO6Ie10YuxgIyEE5eXltGzZMtlFqZFY2ud421I7+DVenG4Dqb/UPxr9Y21HY3rA6thGTAhx3IatLsdHc06v14vX643Yd9JJJ52w3DWRmZnpyAoWDdJGdUPa6cSku41Sdfq/KsloS9Pdr4nA6TaQ+kv966p/LO1oVI/B5uTkoGlatbv0vXv3VrubD5GXl3fc4/Py8gCiOqdEIpFIIomlfZZIJJJ0IKpg1ePx0KNHDxYuXBixf+HChfTp06fG7/Tu3bva8QsWLAgf365dO/Ly8iKO8fv9LFmypNZzSiQSiSSSWNpniUQiSQe0xx577LFovpCZmckjjzxCq1ataNCgAU899RSfffYZ06ZN46STTuKmm25i9erVXHRR8Am4Vq1a8fDDD+P1esnJyeGNN97g9ddfZ+rUqbRu3RpFUTAMgwkTJtCxY0cMw+C+++5j9+7dTJ06tdoUVSLRNI3+/fuHn5iTVEfaqG5IO50YaaP650Ttc30g/SptIPWX+te3/jG9bnXy5Mk888wz7Nmzh65du/L888/Tr18/APr3709BQQHTp08PH/+f//yHhx9+mB9//DH8UoCrr746/H9R+VKAV199NeKlAF27do1fQ4lEInEQx2ufJRKJJB2JKViVSCQSiUQikUiswF7vGZRIJBKJRCKR2AoZrEokEolEIpFIUhYZrEokEolEIpFIUhYZrEokEolEIpFIUhZHBqvjx4+nT58+NGzYsNblXHbs2MEVV1xBo0aNyMnJ4Z577sHv91tc0uQyefJk2rVrR4MGDejRowfLli1LdpGSxtKlS7niiito2bIliqLwwQcfRPxfCMFjjz1Gy5YtycjIoH///nzzzTdJKm1ymDBhAj179qRJkyY0b96cIUOG8O2330Yc4/P5uPvuu8nJyaFRo0ZceeWV7Nq1K0kllsTD7t27ufHGG2nWrBkNGzakW7durF27NtnFsoSCggIURam2jRgxItlFswRd13n44Ydp164dGRkZnHLKKYwbNw7TNJNdNMsoLy9n1KhRtG3bloyMDPr06cOaNWuSXax6IRX6P0cGq36/n2uuuYY777yveAS3AAAIXklEQVSzxv8bhsGgQYM4dOgQy5cv5/3332fmzJncd999Fpc0ecyYMYNRo0YxduxYCgsL6du3LwMHDmTHjh3JLlpSOHToEGeddRYvvfRSjf9/5plneO6553jppZdYs2YNeXl5XHzxxZSXl1tc0uSxZMkSRowYwZdffsnChQvRdZ0BAwZw6NCh8DGjRo1i9uzZvP/++yxfvpyDBw9y+eWXYxhGEksuiZb9+/dz3nnn4Xa7mTdvHps2beLvf/97va3lmmqsWbOGPXv2hLfQixiuueaaJJfMGiZOnMgrr7zCSy+9xObNm3nmmWd49tlnefHFF5NdNMu4/fbbWbhwIW+99RZff/01AwYM4KKLLmL37t3JLlrCSYn+TziYadOmiaysrGr7586dK1RVFbt37w7ve++994TX6xWlpaVWFjFpnHvuuWL48OER+zp16iTGjBmTpBKlDoCYPXt2+LNpmiIvL088/fTT4X0VFRUiKytLvPLKK8koYkqwd+9eAYglS5YIIYQ4cOCAcLvd4v333w8fs3v3bqGqqvjkk0+SVUxJDDzwwAPi/PPPT3YxUoZ7771XtG/fXpimmeyiWMKgQYPErbfeGrHv6quvFjfeeGOSSmQthw8fFpqmiTlz5kTsP+uss8TYsWOTVCprSFb/58iR1ROxcuVKunbtSsuWLcP7LrnkEnw+nyOmufx+P2vXrmXAgAER+wcMGMCKFSuSVKrUZdu2bRQXF0fYy+v1csEFFzjaXqWlpQA0bdoUgLVr1xIIBCLs1LJlS7p27epoO6UjH330Eeeccw7XXHMNzZs35+yzz+a1115LdrGSgt/v5+233+bWW29FUZRkF8cSzj//fD799FO+++47AL766iuWL1/OZZddluSSWYOu6xiGQYMGDSL2Z2RksHz58iSVKjlY1f/JYLUGiouLyc3NjdiXnZ2Nx+OhuLg4SaWyjn379mEYRjUb5ObmOkL/aAnZRNrrKEIIRo8ezfnnnx9+E11xcTEej4fs7OyIY51sp3Tlxx9/ZMqUKZx22mnMnz+f4cOHc8899/Cvf/0r2UWznA8++IADBw5wyy23JLsolvHAAw9w3XXX0alTJ9xuN2effTajRo3iuuuuS3bRLKFJkyb07t2bJ554gp9++gnDMHj77bdZtWoVe/bsSXbxLMWq/s82wepjjz1WY8J71e3//u//6ny+mu6QhRCOuXOG6jZwmv7RIu11lJEjR7Jhwwbee++9Ex7rZDulK6Zp0r17d5566inOPvts7rjjDv7nf/6HKVOmJLtolvPGG28wcODAiJk4uzNjxgzefvtt3n33XdatW8ebb77J3/72N958881kF80y3nrrLYQQtGrVCq/XywsvvMD111+PpmnJLlpSqO/+z5WwMyWZkSNH8sc//vG4xxQUFNTpXHl5eaxatSpi3/79+wkEAtXuHuxITk4OmqZVuyvau3evI/SPlry8PCB4h9miRYvwfqfa6+677+ajjz5i6dKltG7dOrw/Ly8Pv9/P/v37I0ZX9+7dS58+fZJRVEmMtGjRgi5dukTs69y5MzNnzkxSiZJDUVERixYtYtasWckuiqXcf//9jBkzJtznnnHGGRQVFTFhwgRuvvnmJJfOGtq3b8+SJUs4dOgQZWVltGjRgqFDh9KuXbtkF81SrOr/bDOympOTQ6dOnY67HZtfUhu9e/dm48aNEcP5CxYswOv10qNHj/pSIWXweDz06NEj/IRriIULF8qgogbatWtHXl5ehL38fj9LlixxlL2EEIwcOZJZs2axePHiao12jx49cLvdEXbas2cPGzdudJSd7MB5551XbVmy7777jrZt2yapRMlh2rRpNG/enEGDBiW7KJZy+PBhVDUyfNA0zVFLV4Vo1KgRLVq0YP/+/cyfP5/Bgwcnu0iWYln/l7BHtdKIoqIiUVhYKB5//HHRuHFjUVhYKAoLC0V5ebkQQghd10XXrl3FhRdeKNatWycWLVokWrduLUaOHJnkklvH+++/L9xut3jjjTfEpk2bxKhRo0SjRo3E9u3bk120pFBeXh6uJ4B47rnnRGFhoSgqKhJCCPH000+LrKwsMWvWLPH111+L6667TrRo0UKUlZUlueTWceedd4qsrCzx+eefiz179oS3w4cPh48ZPny4aN26tVi0aJFYt26d+N3vfifOOussoet6EksuiZbVq1cLl8slxo8fL7Zu3Sreeecd0bBhQ/H2228nu2iWYRiGyM/PFw888ECyi2I5N998s2jVqpWYM2eO2LZtm5g1a5bIyckRf/nLX5JdNMv45JNPxLx588SPP/4oFixYIM466yxx7rnnCr/fn+yiJZxU6P8cGazefPPNAqi2ffbZZ+FjioqKxKBBg0RGRoZo2rSpGDlypKioqEheoZPAyy+/LNq2bSs8Ho/o3r17eAkiJ/LZZ5/VWGduvvlmIURw+Y5HH31U5OXlCa/XK/r16ye+/vrr5BbaYmqyDyCmTZsWPubIkSNi5MiRomnTpiIjI0NcfvnlYseOHckrtCRm/vvf/4quXbsKr9crOnXqJKZOnZrsIlnK/PnzBSC+/fbbZBfFcsrKysS9994r8vPzRYMGDcQpp5wixo4dK3w+X7KLZhkzZswQp5xyivB4PCIvL0+MGDFCHDhwINnFqhdSof9ThBAiceO0EolEIpFIJBJJ4rBNzqpEIpFIJBKJxH7IYFUikUgkEolEkrLIYFUikUgkEolEkrLIYFUikUgkEolEkrLIYFUikUgkEolEkrLIYFUikUgkEolEkrLIYFUikUgkEolEkrLIYFUikUgkEolEkrLIYFUikUgkEolEkrLIYFUikUgkEolEkrLIYFUikUgkEolEkrL8P8eTck1JNdzeAAAAAElFTkSuQmCC"
},
"metadata": {}
},
{
"output_type": "execute_result",
"execution_count": 17,
"data": {
"text/plain": "PyObject Text(0.5,1,'$KL + (AIC - L_n(w_0))$ (n=1024)')"
},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "@show n = 2^6\n@time aic, aic0, gl, kl = sim_ols2(n, a0, b0, c0, s0; niters=10000)\nK = .!isnan.(kl)\naic, aic0, gl, kl = aic[K], aic0[K], gl[K], kl[K]\n@show mean(kl), std(kl)\n@show mean(aic0), std(aic0)\n@show mean(kl+aic0), std(kl+aic0)\n@show cor(kl, aic0);\n\nsleep(0.1)\nfigure(figsize=(8,3))\nsubplot(121)\nplt[:hist](kl[kl .> 0], normed=true, bins=100)\nx = linspace(-1, 20, 201)\nplot(x, pdf.(Chisq(4), x), label=\"\\$\\\\chi^2(4)\\$\")\ngrid(ls=\":\")\nxlim(minimum(x), maximum(x))\nlegend()\ntitle(\"KL divergences (n=$n)\")\nsubplot(122)\nplt[:hist](aic0, normed=true, bins=100)\nx = linspace(8-20, 9, 201)\nplot(x, pdf.(Chisq(4), 8-x), label=\"\\$8 - \\\\chi^2(4)\\$\")\ngrid(ls=\":\")\nxlim(minimum(x), maximum(x))\nlegend()\ntitle(\"\\$AIC - L_n(w_0)\\$ (n=$n)\")\n\nfigure(figsize=(8,3))\nsubplot(121)\nplt[:hist](kl - aic0, normed=true, bins=100, range=(-10,25))\nx = linspace(-10, 25, 201)\nplot(x, pdf.(Chisq(4), (x+8)/2)/2, label=\"\\$2\\\\chi^2(4) - 8\\$\")\ngrid(ls=\":\")\nlegend()\ntitle(\"\\$KL - (AIC - L_n(w_0))\\$ (n=$n)\")\nsubplot(122)\nplt[:hist](kl + aic0, normed=true, bins=100, range=(8-10,8+10))\ngrid(ls=\":\")\ntitle(\"\\$KL + (AIC - L_n(w_0))\\$ (n=$n)\")",
"execution_count": 18,
"outputs": [
{
"output_type": "stream",
"text": "n = 2 ^ 6 = 64\n 29.911399 seconds (1.05 G allocations: 16.729 GiB, 4.34% gc time)\n(mean(kl), std(kl)) = (4.498188257380649, 3.6846797161280063)\n(mean(aic0), std(aic0)) = (3.8341851068260673, 2.9147052182573026)\n(mean(kl + aic0), std(kl + aic0)) = (8.332373364206715, 1.3247974709373467)\ncor(kl, aic0) = -0.9458913359570149\n",
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"text/plain": "PyPlot.Figure(PyObject <Figure size 800x300 with 2 Axes>)",
"image/png": 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"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": "PyPlot.Figure(PyObject <Figure size 800x300 with 2 Axes>)",
"image/png": 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"
},
"metadata": {}
},
{
"output_type": "execute_result",
"execution_count": 18,
"data": {
"text/plain": "PyObject Text(0.5,1,'$KL + (AIC - L_n(w_0))$ (n=64)')"
},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "@show n = 2^5\n@time aic, aic0, gl, kl = sim_ols2(n, a0, b0, c0, s0; niters=10000)\nK = .!isnan.(kl)\naic, aic0, gl, kl = aic[K], aic0[K], gl[K], kl[K]\n@show mean(kl), std(kl)\n@show mean(aic0), std(aic0)\n@show mean(kl+aic0), std(kl+aic0)\n@show cor(kl, aic0);\n\nsleep(0.1)\nfigure(figsize=(8,3))\nsubplot(121)\nplt[:hist](kl[kl .> 0], normed=true, bins=100)\nx = linspace(-1, 20, 201)\nplot(x, pdf.(Chisq(4), x), label=\"\\$\\\\chi^2(4)\\$\")\ngrid(ls=\":\")\nxlim(minimum(x), maximum(x))\nlegend()\ntitle(\"KL divergences (n=$n)\")\nsubplot(122)\nplt[:hist](aic0, normed=true, bins=100)\nx = linspace(8-20, 9, 201)\nplot(x, pdf.(Chisq(4), 8-x), label=\"\\$8 - \\\\chi^2(4)\\$\")\ngrid(ls=\":\")\nxlim(minimum(x), maximum(x))\nlegend()\ntitle(\"\\$AIC - L_n(w_0)\\$ (n=$n)\")\n\nfigure(figsize=(8,3))\nsubplot(121)\nplt[:hist](kl - aic0, normed=true, bins=100, range=(-10,25))\nx = linspace(-10, 25, 201)\nplot(x, pdf.(Chisq(4), (x+8)/2)/2, label=\"\\$2\\\\chi^2(4) - 8\\$\")\ngrid(ls=\":\")\nlegend()\ntitle(\"\\$KL - (AIC - L_n(w_0))\\$ (n=$n)\")\nsubplot(122)\nplt[:hist](kl + aic0, normed=true, bins=100, range=(8-15,8+15))\ngrid(ls=\":\")\ntitle(\"\\$KL + (AIC - L_n(w_0))\\$ (n=$n)\")",
"execution_count": 19,
"outputs": [
{
"output_type": "stream",
"text": "n = 2 ^ 5 = 32\n 30.538209 seconds (1.09 G allocations: 17.270 GiB, 4.41% gc time)\n(mean(kl), std(kl)) = (5.041017320100838, 4.611619702334041)\n(mean(aic0), std(aic0)) = (3.722469792710949, 3.017827297535085)\n(mean(kl + aic0), std(kl + aic0)) = (8.763487112811786, 2.1935278144386494)\ncor(kl, aic0) = -0.9183955478595388\n",
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"text/plain": "PyPlot.Figure(PyObject <Figure size 800x300 with 2 Axes>)",
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