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t-distribution linear regression
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{
"cells": [
{
"metadata": {},
"cell_type": "markdown",
"source": "# t-distribution linear regression\n\nGen Kuroki\n\n2017-10-02~06 (2019-09-18 Julia v1.0以上に対応)\n\nhttp://nbviewer.jupyter.org/gist/genkuroki/6897ddc41f69566112675a13962d9187\n\nSee also\n\n* http://nbviewer.jupyter.org/gist/genkuroki/bc35fc074dff611b1284942758a285fc"
},
{
"metadata": {
"toc": "true"
},
"cell_type": "markdown",
"source": "<h1>目次<span class=\"tocSkip\"></span></h1>\n<div class=\"toc\"><ul class=\"toc-item\"><li><span><a href=\"#線形回帰の函数\" data-toc-modified-id=\"線形回帰の函数-1\"><span class=\"toc-item-num\">1&nbsp;&nbsp;</span>線形回帰の函数</a></span></li><li><span><a href=\"#テスト\" data-toc-modified-id=\"テスト-2\"><span class=\"toc-item-num\">2&nbsp;&nbsp;</span>テスト</a></span></li><li><span><a href=\"#ベルギー(1950-1973)の電話回数の記録\" data-toc-modified-id=\"ベルギー(1950-1973)の電話回数の記録-3\"><span class=\"toc-item-num\">3&nbsp;&nbsp;</span>ベルギー(1950-1973)の電話回数の記録</a></span></li><li><span><a href=\"#動物の体と脳の重さ\" data-toc-modified-id=\"動物の体と脳の重さ-4\"><span class=\"toc-item-num\">4&nbsp;&nbsp;</span>動物の体と脳の重さ</a></span></li><li><span><a href=\"#完全な直線と1つの外れ値\" data-toc-modified-id=\"完全な直線と1つの外れ値-5\"><span class=\"toc-item-num\">5&nbsp;&nbsp;</span>完全な直線と1つの外れ値</a></span></li><li><span><a href=\"#MathWorksのサポートページより\" data-toc-modified-id=\"MathWorksのサポートページより-6\"><span class=\"toc-item-num\">6&nbsp;&nbsp;</span>MathWorksのサポートページより</a></span></li></ul></div>"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "using PyPlot\nusing Distributions\nusing Optim\nlinspace(a, b, l) = range(a, b, length=l)\nlogspace(a, b, l) = 10 .^ linspace(a, b, l)\nusing Printf\nusing LinearAlgebra\nusing Random\nsrand = Random.seed!",
"execution_count": 1,
"outputs": [
{
"data": {
"text/plain": "seed! (generic function with 7 methods)"
},
"execution_count": 1,
"metadata": {},
"output_type": "execute_result"
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "## 線形回帰の函数"
},
{
"metadata": {},
"cell_type": "markdown",
"source": "hcatones(X) = (行列 X の左端に 1 を並べた列を追加したもの)"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "hcatones(X) = hcat(ones(eltype(X),size(X,1)), X)\n\nhcatones([\n 2 3\n 4 5\n 6 7\n 8 9\n ])",
"execution_count": 2,
"outputs": [
{
"data": {
"text/plain": "4×3 Array{Int64,2}:\n 1 2 3\n 1 4 5\n 1 6 7\n 1 8 9"
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "residualerror(a,X,Y) = 残差"
},
{
"metadata": {
"trusted": true
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"cell_type": "code",
"source": "@inline function residualerror(a::AbstractArray{T,1}, X::AbstractArray{T,2}, Y::AbstractArray{T,1}) where T\n return Y .- X*a\nend\n\n@inline function residualerror(a, X, Y::AbstractArray{T,1}) where T\n residualerror(T.(a), reshape(T.(X),size(X,1),size(X,2)), Y)\nend\n\nfunction show_residualerror(a, X, Y)\n R = residualerror(a, X, Y)\n @printf(\"sum of squares of residual errors = %.2e\", sum(R.^2))\n @printf(\" -> sqrt = %.2e;\", sqrt(sum(R.^2)))\n @printf(\" mean = %.2e,\", mean(R))\n @printf(\" std = %.2e\", std(R))\n println()\nend\n\nfunction sprint_residualerror(a)\n r = length(a)\n s = \"y - (\" * @sprintf(\"%.1e\", a[1]) * \" x[1]\"\n for i in 2:r\n s *= \" + \" * @sprintf(\"%.1e\", a[i]) * \" x[$i]\" \n end\n return s * \")\"\nend\n\nsprint_residualerror([1,2,3])",
"execution_count": 3,
"outputs": [
{
"data": {
"text/plain": "\"y - (1.0e+00 x[1] + 2.0e+00 x[2] + 3.0e+00 x[3])\""
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "signeddistancetohyperplane(p,X,Y) は点 $(X_2,\\ldots,X_r, Y)$ から超平面\n\n$$\np_1 y + X_1 + p_2 x_2 + \\cdots + p_r x_r = 0\n$$\n\nへの符号付き距離\n\n$$\n\\frac{p_1 Y + X_1 + p_2 X_2 + \\cdots + p_r X_r}{\\sqrt{p_1^2+\\cdots+p_r^2}}.\n$$\n\nこの公式は $X_1=1$, $r=2$ の場合には高校で習う点と直線の距離の公式と同じ。\n\nその符号距離 = 0 の定める $Y$ と $X$ の関係式は\n\n$$\nY = -\\frac{1}{p_1} X_1 - \\frac{p_2}{p_1} x_2 - \\cdots - \\frac{p_r}{p_0} x_r.\n$$\n\nsigneddistancetohyperplane は長いので sd2hp と略せることにしおく。"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "@inline function signeddistancetohyperplane(p::AbstractArray{T,1}, X::AbstractArray{T,2}, Y::AbstractArray{T,1}) where T\n return (X[:,1] + hcat(Y,X[:,2:end])*p)/norm(p)\nend\n\n@inline function signeddistancetohyperplane(p, X, Y::AbstractArray{T,1}) where T\n return signeddistancetohyperplane(T.(p), reshape(T.(X), size(X,1), size(X,2)), Y)\nend\n\nsd2hp(p,X,Y) = signeddistancetohyperplane(p,X,Y)\n\nfunction p2a(p)\n a = similar(p)\n a[1] = -1.0/p[1]\n a[2:end] = -p[2:end]./p[1]\n return a\nend\n\nfunction a2p(a)\n p = similar(a)\n p[1] = -1.0/a[1]\n p[2:end] = a[2:end]./a[1]\n return p\nend\n\nfunction sprint_signeddistancetohyperplane(p)\n a = p2a(p)\n r = length(a)\n s = \"[y - (\" * @sprintf(\"%.1e\", a[1]) * \" x[1]\"\n for i in 2:r\n s *= \" + \" * @sprintf(\"%.1e\", a[i]) * \" x[$i]\" \n end\n return s * @sprintf(\")]/%.1e\", norm(p)/p[1])\nend\n\nsprint_sd2hp(p) = sprint_signeddistancetohyperplane(p)\n\nsprint_sd2hp([-1,2,3])",
"execution_count": 4,
"outputs": [
{
"data": {
"text/plain": "\"[y - (1.0e+00 x[1] + 2.0e+00 x[2] + 3.0e+00 x[3])]/-3.7e+00\""
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "サンプル X, Y に対して XX = hcatones(X) としておく。\n\nsigma, a = reg_normal(XX, Y) で通常の最小二乗法による線形回帰\n\nreg_normal(XX, Y, errorfunc = f) で「誤差」とみなす量を計算する函数 f を与えて回帰を実行することもできる。\n\nデフォルトは\n\n f = residualerror = 残差\n\nこれ以外には、f として signeddistancetohyperplane も使うことを想定している。\n\nshow_normal_residualerror(sigma, a) と show_normal_signeddistancetohyperplane(sigma, p) は結果表示用の函数。\n\nshow_normal(sigma,a) は show_normal_residualerror(sigma, a) と同じ。"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "@inline rand_normal(sigma, n) = sigma * randn(n)\n@inline pdf_normal(sigma, z; mu=0.0) = pdf(Normal(mu,sigma), z)\n@inline logpdf_normal(sigma, z; mu=0.0) = logpdf(Normal(mu,sigma), z)\n\n@inline function negloglik_normal(sigma, a, X, Y, errorfunc)\n if sigma ≤ 0\n return Inf\n end\n return -sum(logpdf_normal.(sigma, errorfunc(a,X,Y)))\nend\n\nfunction solve_normal(X, Y;\n init = [1.0; zeros(size(X,2))],\n errorfunc = residualerror,\n solver = NelderMead(),\n options = Optim.Options())\n negloglik(x) = negloglik_normal(exp(x[1]), x[2:end], X, Y, errorfunc)\n init_tmp = init\n init_tmp[1] = log(init[1])\n return optimize(negloglik, init_tmp)\nend\n\nfunction parse_normal(result)\n sigma = exp(result.minimizer[1])\n a = result.minimizer[2:end]\n aic = 2*result.minimum + 2*(1+length(a))\n return sigma, a, aic\nend\n\nreg_normal(X, Y; kwargs...) = parse_normal(solve_normal(X, Y; kwargs...))\n\nfunction show_normal_residualerror(sigma, a, aic)\n println(@sprintf(\"AIC=%9.2e, \", aic) * sprint_residualerror(a) * @sprintf(\" ~ %.1e Normal(0,1)\", sigma))\nend\n\nfunction show_normal_signeddistancetohyperplane(sigma, p, aic)\n println(@sprintf(\"AIC=%9.2e, \", aic) * sprint_sd2hp(p) * @sprintf(\" ~ %.1e Normal(0,1)\", sigma))\nend\n\nshow_normal_sd2hp(sigma, p, aic) = show_normal_signeddistancetohyperplane(sigma, p, aic)\nshow_normal(sigma, a, aic) = show_normal_residualerror(sigma, a, aic)",
"execution_count": 5,
"outputs": [
{
"data": {
"text/plain": "show_normal (generic function with 1 method)"
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "サンプル X, Y に対して XX = hcatones(X) としておく。\n\nrho, nu, a = reg_t(XX, Y) でt分布線形回帰を実行。\n\nreg_t(XX, Y, errorfunc = f) で「誤差」とみなす量を計算する函数 f を与えて回帰を実行することもできる。\n\nデフォルトは f = residualerror = 残差。\n\nこれ以外には、f として signeddistancetohyperplane も使うことを想定している。\n\nshow_t_residualerror(sigma, a) と show_t_signeddistancetohyperplane(sigma, a) は結果表示用の函数。\n\nshow_t(sigma,a) は t_residualerror(sigma, a) と同じ。"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "@inline rand_t(rho, nu, n) = rho * rand(TDist(nu), n)\n@inline pdf_t(rho, nu, z) = pdf(TDist(nu), z/rho)/rho\n@inline logpdf_t(rho, nu, z) = logpdf(TDist(nu), z/rho) - log(rho)\n\n# @inline function negloglik_t(rho, nu, a, X, Y, errorfunc)\n# if rho ≤ 0 || nu ≤ 0\n# return Inf\n# end\n# return -sum(logpdf_t.(rho, nu, errorfunc(a,X,Y)))\n# end\n@inline function negloglik_t(rho, nu, a, X, Y, errorfunc; rhomin = 0.0, numax = Inf)\n if rhomin < rho && zero(nu) < nu ≤ numax \n return -sum(logpdf_t.(rho, nu, errorfunc(a,X,Y)))\n else\n return Inf\n end\nend\n\n### initial values are very important!\ninit_rho = 1.0\ninit_nu = 1.0\n\n# function solve_t(X, Y;\n# init = [init_rho; init_nu; zeros(size(X,2))],\n# errorfunc = residualerror,\n# solver = NelderMead(),\n# options = Optim.Options())\n# negloglik(x) = negloglik_t(exp(x[1]), exp(x[2]), x[3:end], X, Y, errorfunc)\n# init_tmp = init\n# init_tmp[1] = log(init[1])\n# init_tmp[2] = log(init[2])\n# return optimize(negloglik, init_tmp, solver, options)\n# end\nfunction solve_t(X, Y;\n init = [init_rho; init_nu; zeros(size(X,2))],\n errorfunc = residualerror,\n rhomin = 1.0e-4,\n numax = 1.0e+4,\n solver = NelderMead(),\n options = Optim.Options())\n negloglik(x) = negloglik_t(exp(x[1]), exp(x[2]), x[3:end], X, Y, \n errorfunc, rhomin=rhomin, numax=numax)\n init_tmp = init\n init_tmp[1] = log(init[1])\n init_tmp[2] = log(init[2])\n return optimize(negloglik, init, solver, options)\nend\n\nfunction parse_t(result)\n rho = exp(result.minimizer[1])\n nu = exp(result.minimizer[2])\n a = result.minimizer[3:end]\n aic = 2*result.minimum + 2*(2+length(a))\n return rho, nu, a, aic\nend\n\nreg_t(X, Y; kwargs...) = parse_t(solve_t(X, Y; kwargs...))\n\nfunction show_t_residualerror(rho, nu, a, aic)\n println(@sprintf(\"AIC=%9.2e, \", aic) * sprint_residualerror(a) * @sprintf(\" ~ %.1e TDist(%.1e)\", rho, nu))\nend\n\nfunction show_t_signeddistancetohyperplane(rho, nu, p, aic)\n println(@sprintf(\"AIC=%9.2e, \", aic) * sprint_sd2hp(p) * @sprintf(\" ~ %.1e TDist(%.1e)\", rho, nu))\nend\n\nshow_t_sd2hp(rho, nu, p, aic) = show_t_signeddistancetohyperplane(rho, nu, p, aic)\nshow_t(rho, nu, a, aic) = show_t_residualerror(rho, nu, a, aic)",
"execution_count": 6,
"outputs": [
{
"data": {
"text/plain": "show_t (generic function with 1 method)"
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "negloglik(rho, nu) = -logpdf_t(rho, nu, 1.0)\nfigure()\nrho = collect(logspace(-6,4,100))\nnu = collect(logspace(-4,6,100))\npcolormesh(rho, nu, log.(negloglik.(rho',nu)), cmap=\"rainbow\")\ncolorbar()\nxscale(\"log\")\nyscale(\"log\")\nxlabel(\"rho\")\nylabel(\"nu\")\ngrid(\"on\", ls=\":\");",
"execution_count": 7,
"outputs": [
{
"data": {
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",
"text/plain": "Figure(PyObject <Figure size 640x480 with 2 Axes>)"
},
"metadata": {},
"output_type": "display_data"
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "## テスト"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "srand(4)\n\nn = 10\na0 = [5.0, 10.0]\nrho0 = 0.5\nnu0 = 0.5\nXmin = 0.0\nXmax = 10.0\nX = rand(Uniform(Xmin,Xmax),n)\nXX = hcatones(X)\nY = XX * a0 + rand_t(rho0,nu0,n)\n\nprintln(\"x[1] == 1\\n\")\n\nrho, nu, a, aic_t = reg_t(XX, Y)\nshow_t(rho, nu, a, aic_t)\nshow_residualerror(a, XX, Y)\nprintln()\n\nsigma, b, aic_n = reg_normal(XX, Y)\nshow_normal(sigma, b, aic_n)\nshow_residualerror(b, XX, Y)\n\nsleep(0.2)\n\nfigure(figsize=(6,4.8))\nscatter(X, Y, s=10, color=\"red\")\nxs = [Xmin, Xmax]\nplot(xs, a[1] .+ a[2]*xs, label=\"t-dist linreg\", ls=\"--\")\nplot(xs, b[1] .+ b[2]*xs, label=\"ordinary linreg\", ls=\":\")\nxlabel(\"X\")\nylabel(\"Y\")\ngrid(\"on\", ls=\":\")\nlegend()\ntitle(\"linear regressions\");",
"execution_count": 8,
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": "x[1] == 1\n\nAIC= 6.18e+01, y - (8.6e+00 x[1] + 9.5e+00 x[2]) ~ 1.0e-04 TDist(9.7e-02)\nsum of squares of residual errors = 6.64e+07 -> sqrt = 8.15e+03; mean = -8.15e+02, std = 2.58e+03\n\nAIC= 1.91e+02, y - (-1.8e+02 x[1] + -7.2e+01 x[2]) ~ 2.5e+03 Normal(0,1)\nsum of squares of residual errors = 6.03e+07 -> sqrt = 7.77e+03; mean = -5.37e+01, std = 2.59e+03\n"
},
{
"data": {
"image/png": 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g3hUMGX6orMZnKnxK0bp5QtiCbAlimhBer5ecnBzGjBlDVFRUuJvT5BE99aNN06Y4IDcCx61nYwyQGvAPiKayBkTThCiHDafDDvffT/Vzv6fSFY9ps6Fsdnw2O+btt6PufwCfqWjVLJoWMZbfP1Yb7N5/OHismoHWf46MVrGkJsQCUHHYy1eFBzDNWuevKXsNg9Jvc7nh1uuIqqriQExzcu56HN+Ey2oGbVUzgFuvOzOjJWd3tALJA4c8vLV6V8h5fSo42A/okMiYM1ICbZi7eLN1nO+/x/y6GnPc3Zg2O6bNzuD/beDqCV/CoEEcqjb4zd83WOeuOW6wHYpzuyQx7byuAHgMk8vnr8T88Ud8+9qhbnwJ02bHZ7ejsDFk10aemjsXJkyAQYMY+vRSPD6zjl+mqRjcOYnXbxgQ6K/ejy2m0l3/XUYDOiTyr9uHBJ6Pe/EzfqisBuDOLLjrqvB8j0oQcxTmzZvHM888Q3FxMWeccQbPP/88w4YNC1t7nE4nw4YNw+mUbtNBWPSM8MFZi6ZHGZBrD4pRjuAvv8MeA49h1hmw/ANeu8S4gO3e8ip+rDZCf2mawYGxX0ZL7HYbAFtKKtlX6a4ZtKzj+QcCpRTn90wm2mm1Y92uAxSUHqo5d3Aw8j+/ckBG4JfsF9tL2VBYHmin74jBc/KwTFo3c+F0OjFTevFk9pZA+wLHN602TG97mHY1ev2v22De7zUS3zY76vkl+BISQnT47fgz6J7SHID/bNzLG58XBAdOs1awoeB3l/Wmfwdr8F60oYjf/XdzaEBSS4/nr+rL+T2TA7bT39kY0PZInr+qL5d49sDcuSzreg5TJjxS12jupwDMmdCbXw9sD8BXuw5w/RtrGnzbPDq+FzefmwnAtn2V3PhmboO20zb+D2e1NQDvbZHE/bZu8N7X9dpOHdk5EMSUV3n5/ZKtDR7XO7RjIIhxGz7+9uXu4D/7jA6xjTWquXrrVhg0CMNUfJz/fYPHbds8JlC22WDTngrrSXKnOradyvZYhZpj76t04/XVf9WI2+sLeW5rsAVWX9cmym7Dabdht9vo3btX2MYlGQ0b4B//+Ad333038+bNY+jQobz66qtceOGFfPvtt7Rv3z4sbbLZbHK3k2aaN2+OzWZ9dE1TUeX1BX4xBgci68s4JspBQqz1S8PwmewuO1znV6a/nBgXTUaruIBt7s4DqNdew/fOOzW/xGyYl1+BecMkklu46NOuZaANH2zaGxikgr8MrXJ6YiyjurcNtP/1z77D8A/AR/zKatcqjisHZARsn128hUMeo86gbZqKjFaxgV96AI+8/zUHDnnrDNo+pWiXGMtTl/QO2N799/XsOVAVMrD525+aEMMbk84O2N7yl1y2fF+JaVLnV2er+GhyhsQEAphrr3qK3Ha9UKYN88GPqP093Nzl5OvHxwaeT3lrHZ9tK623jx12Gztmjws8f+w/35DzbcMDxtanLiS6JoiZt2w7izbsbdB2w29HE+2MBuBf6wpZuKawQdsLslICQczSzftY8HlBg7ZXDGhH62YubDYbW0o9/HXVrgZtb+pUQbua8o5W7fhf96HWkxIPlPwQYltRFbz4srSymg2F5Q0e98fq4ADn9vrYW+Fu0NbrM0Oe+8yGL7U0lbIGWMCurNfZlIldKRymiU2ZOFzR2KOicNiCw6rLaadNcxcOmw27Dex2G/Za5RYxweEs3uUkK71Fzf8tG4fdhs1mw7HvezoVbsdmWuduUX2Y87evwdavL472GZZ9zbEdNuiZGvzObRHj5JpB7a1zBo4dPP6AjsHUXzOXk3t+0c2yLdqDfd7L2JWqefjo/sMu6HYtALFRDp6e0Bu7zYat5li1y2ktYwPHddptvDnpbGxbt2D/zW9wKDNEv0T3QcuwWzcA3r9jaEg7a+sWG+0I6ZtPZ4zEVvM/m81W046gr7VZ+eD5DfbxqUSCmAb4/e9/z80338wtt9wCwPPPP8/ixYt55ZVXmDNnTljatLu0kn/9dykDB52D3eE44peTol9GIonx1hdqQekhvtlbccQvt2B+c0S3NoEPxtbvK/lsW2m9040+pbiodypdk61fb9/srWDRhr11fun6B60rBrTjrPaJAOQVVfCnz7474tdxcOC8bnCHwICcV1TBrI/yA79Ij5wqvuncjlzaz/qq/nbvQaYt/KreqWJTKW4d3olbhlm/ULaUVHLZKyvr5Hf95fPTTObffgFRUVEUHjjMiGeWNaj/pCEdeeyXZwBQdsjDec8tb9D2ygHtmHv5mQBUeX38+k+rwdYHruoTavjXtYzvk8ofrzkLAAX85u8bGjzu+T3ahgQxcxdvwWOY9doO6dw6JIh5+8tdlB+u/w6CvhktQ4KYT/L3UdzAoNW95r3gZ1NRBd/9cKhe2x+rQ89XctBNYVlVvbZgg63BX65ehxNPTYDAEWPikb8KbUd8wYYMWkf8r3lMFK3jo2u+pGsNRjXl2sdulxhLz9QWIcez26gZSG0h5+2e3JyR3duEDhg1A4HNBi5ncMDom9GSqwZkYLcTaGPtgcOfQvF6vZglW7hjZFecDkfN8ahph1VOVvsCxx1R8BUJ7h+xKxP7gw9i79wpZJDt1CY+YHt+z7a0S4ytM2D6y71qDd6/6JnMojtaBHyx1xrgbDYbyS2CMwVjeqWw+sHzA3raa/yz1Tx3Oe3gtQbYX2xfQ8HvxtedAVi9us5M5aBOrcl9+BdHWtZLz9QWfHhn/bPm3lWryO7zG7y/Xk1UVRUZFd+z4N9PwP9bDYMG1PsaP62buZh9ae+j2viJdzn5zS/8n6mu8M3/QmcY778/4GO0087VA4/vx7HNZmNUj7bQoy18Mbr+a2JqHfuMtITjOi5Y/p0oXq+X7Oxsxo0bJ+mk0wWPx8O6det44IEHQurHjBnDypUr69hXV1dTXTM1CdaV1QA+ny/kr8PhCCkbhmF9adWU7XY7dru9wfJ/Nhbz4jdO+GZtve1eOHkQA9on4HQ6WbZlH49/8G2DPr5549mktHBhmiYbCst58sOGbTsnxdE1uTk+n4/t31fy2orvGrQ9K6MFZ6a3wOFwsPfAoaP+ih3ZvQ1erxeHw8HBKi+rvtvfoO2+g9UopTAMA4/PbHDQBDhY5QGsq+Z9PoMfqxteSbJ9hw6BgUiZ9QcDtppBC6jVHzaaxziDgxShA0DtQchhs9HVZWAr2ovd9OEwfdYg5PPh6NyJjERrAFBK4TO8DO3S2joOCqfDga2mDU67nTPSW2AYhpVmME1+dWYqCsvWBjidDmxKYbfZ6Ny2Wcj7bdLgDlQbJk6HHaUUTrsNh90qp7aMCfHvntHdOOT24rDbcDjsYJo4HHYcdjvNo63X2Gw2vF4vvx3fiyqPD5R1bMPrJSrKSXRUFDFRdrxeL1FRUZimyexfnYHhb69SOJ3OmrYrXNFRmDvyMF0unNXVvPDRc3idUURXV6M++A/2fn2JcjpRpi/wq9Dv34IbBuAzDBx2O1FRzjqfIdM0A+VnLu+N3W4PvPf8ZafTGfBJKStFdPd5nZkxpntAm6ioqMD70O+T37/rB3fgukEZgb4xTbNO2efzoZTi4jPTGJeVHOib+r4j/Nxx+fnExcXh8/ka+I7ogHnffdjnzqV7RRG9fijA/v/+H94JQ0J88k/3+8vtW8WR1iK6Xp98Pl+gbJomrZu5SIyLOqpP/v6IdkBKQsxRv/d8AwbguO8+fC+8gN3nw2YYGC4XdsPAPmMGRv/+2Gv67Gj95PfJ/5k4Wj/5fbIPHMh5TzyB0+3GdDgwnU6cd9+NefbZmDXH8fvkLx+tn477u3zWLOyXXop92za8XbrgGDQIe63+OCmfnnqKqAkTMLduxfR4cEZHY3btijlgAM6a78Aj+0mrTzXlMWPGQM35dPTTiSD37NVDaWkpPp+P5OTkkPrk5GRKSkrq2M+ZM4eEhITAIyPD+vWbl5cHQH5+Pvn5+QBs2rSJbdu2AbB+/XoKCqwp5TVr1lBYaE1Fr1y5kuLiYgBWrFhBaak1TV6yewftE2Po3CaelDjo2iaOnqktaBevyEprjssB2dnZGIZB61gHXVoohnRuzTkdW9KzpRU0nNupJX1a22gdH01paSkrVqygfas4RndryZA0JxPOSueC7i0Z2T6aXw/MYHyPBA7ts34db9u2Dd+BvUwelsllvVpw+RktuGNUZ67o1Yxrz0zknl90g/KigE+HincwdUgKvx3fi+t6uZg+Ip2nLsni+l5RPDS6I+d0as3SpUspLy+na3JzbuwOz1zSg1euPYubuvn441W9efW6ftzaw8cveiThdrvJzs6mc5t43riuD/f0gX/fPoS/XJfFg/0dfHjnubw98QwyfUUAFBcXU7x1E8tmjGThtd144RctWPnAefz915157aLWrH34fMZ3sPH111Yu/GDJTv51dQabn7yAf16RykfXd6JgzjjemdCW/93Ujcd+eUagn5KauXj5vFiybzmDrx4dzTNDHXw4uQ+rHzqfx84ymDrEyovn5ORgVB9mybgU7rg4jff+8xjvv/Mgky/pwL//9TD/N7oNPTzW+6GyspIlS5bwt1vO4YVLu3JtuwremHQ2c8Z14JqMSuZP7M+E7nGBQLqwsJBL0w/z7BVnMqVfM67o6GX2pb2Z2CuaCR0NJg3NDHnvjUg6zK8ybdw7pjsjWlUyPtPBned3ZUBcKQPbqJD33pUDMujg2ckFXeK5dlAHkg5uZUyX5lwxIANf4QYqKysB6/02qH1zftEjCU/BWkZ0bc3QTi05tD2X4d3a0KN1FDk5OQCUl5dTnJ/LWe0TSY8xKNuxkaz0BFpyiNIdX9O5TTMKU1NZM3++9f4ZMZjvb7qWlDtuoSKlFXu/20Kr+GiKd+2gaOf2kM9TlMPO15s2smvXzuP+PPnfe/5+qu2T2+3GMIzA58n/3vP3U22fli5dGvjeWLFiReC9V7uf1qyxruUoKChg/fr1gc/Tpk2bjvkdsWfPnmP7dO+9sHo1S//v/yhftgyefvq09qmgoAB+9zvWvPcehW+9Ba+/zsq//Y3iTz6Bp59u9H5aM3w4rFxJ8VtvsfLdd+Hpp/X4dKx+6tQJJk5k6cGD+nwaNIjSsWNZkZkJEydSnJGht5+O5VNpKU6nU3s/HTdKqENRUZEC1MqVK0Pqn3rqKdW9e/c69m63W1VUVAQehYWFClBlZWVKKaUMw1CGYdQpe73ekLLP5ztq+fDhw+r9999XHo9HeTweZZqmUkoFyqZp1ikrpULKPp8vpOz1eo9aNgwjpFyfHz/FJ4/HE1I+lT55PB71/vvvq6qqqlPj04MPKtNmUyYoT2ysMu+/P+L6qbq6Wr3//vvq0KFDP82n1auV8de/Ku+qVWH3KZyfp6qqqsBnPlJ8Cnc/ud3ugKaR4lM4+8mv5+HDh7X5VFFRoQBVUVGhjoUsdlcPHo+HuLg4/vnPf3LppZcG6n/zm9+wYcMGli9v+FoIaLzF7lTNtJt/mk74aYRFzwi/O0neo3oRPfUjmuqlMfSUbQd+ItHR0fTv358lS5aE1C9ZsoQhQ4Y08KpTg+y8qpdTruegQTBxYkQGMH7kPaoX0VM/oqlewqmnBDENMH36dF5//XXeeOMN8vPzueeee9i9eze33XZb2NpkGIZ1jYV8ALUgeupHNNWL6Kkf0VQv4dZT0klHYd68ecydO5fi4mKysrL4wx/+wPDhw4/5OtnFWhAEQRBOjhMZQyWIaQQa7ZqYwlyqN+fg6nA2tm5jgv+oKAJXc+shOd7jRilFZWVlyIJ3wk9DNNWL6Kkf0VQvjaGnXBMToZjfrSDmi7movH+H/mP+UHg6A0prLYe9ORv+diWsejnUdvNHsO1jqK5s/Aaf5hiGwWeffSbTyhoRTfUieupHNNVLuPWUIKYJ4UjNgn7XYc+stRKlaYJRs9BebGKwvnQLbFsMJXmhB3l/KvztMjhYaxG6r/4KT3eA/9wVavvpbFg6CyprrY1zuAx+2Gr9beJERUVx0UUXyeaPGhFN9SJ66kc01Uu49ZQVe5sQZpfRlCedTcuWLYPRp90ODxeDtwqcwaW/6ToW4lpDYsdgnVKQ1hcO77f+5+fwfnCXg++IJem/fNWq7305NLcWb+PbRfDh3dl5fTUAACAASURBVNB9HPx6YdD2/64G72G46DlIqllqu3Q77F4FrTtDh1p3dfm84Aj/F4hpmpSXl1t6hmkb+UhDNNWL6Kkf0VQv4dZTerAJ4fP5yM3NrX9Z5qjY0OthknvBWddDZq0LkW02uH4R3PY5xCcF6wfcDHesgZH3hx5z0BQ4+xZoFtyrB+WDmASIbRVqu3slFCwnZNvanZ/Bf6bBypdCbf84AGalQtFXwbrCNbBoGuQuCLUt+gpKvgbP4bo+/0SOqqdwUoimehE99SOa6iXcesqFvY3Az+LuJKVCg6ZtH0NVGfS4CKJrNpnb8l9Y+wa0Gwgj/l/Q9un24K6AO3KhjbURHGvfrH+G54Uz4cBOuHkJZAysOe7/4OOZ0HEYXPRs0Parv1qptR7joUWqVed1g+EGVwtr1koQBEE4rTmRMVTSSU0I0zQpLS0lKSkp/NOgR16F3rWe3WW7X2g9juQ3m6DqALRID9al9YPzHoHEzFDb+DZWqqz2zE/lXvhhM7TqHGq74lko3wWpZwaDmK3/hX9Ogg5D4cbsoO1/70cdLqPsjEkkdhts6VlZYs36NE+FlKxjSiDU5bR6j0YAoqd+RFO9hFtP6cEmhGma5OXlYTaw23KTIbYltMoEZ3SwLq0vDP9/1vU3tbnlY5ixFZK6BOu6XwQ3fADDZ4Tadh8HPS+2ghA/7grrb0zLUNst/8X29TsUbN4U1HPXSvjb5fDf+0Jt/zzemhHatSpY98NWWPoUbPx7qG15Ify4D3w/zzsfIuY9epogeupHNNVLuPWUdFIj8LNIJzUlvG7wVVvX8vjZ9E+oLIYzfw3N2lh1W/4Hy2Zbs0IXvxC0fb6PNcNz88eQcbZVl/cu/OvGujM8rw6H4o1wzT/Bv5bPnrXwyeOQ0gfGzgrabltipboyBgWvOzoyTScIgvAzQ9JJEYppmhQXF5OamirToCdCVIz1qE2fK4J6xpmWnt0vsB5Hct271h1cbXsE6xI7wNmTQ+/+AuuWd2yht7uX74aCFWAeceHb0ifrBjzffQoLf21d/3PDB0HbL16EQ/ug77XQtqdV5z4IBwogLgkS0jkdkPeoXkRP/Yimegm3nhLENCFM02THjh0kJyfLh08Dx61nUhegS2hden/rcSS3f14TyNSi3dkw4XWIOeIXRUofcLiCt6+Dda2Q4a57jK//CSWbIHNEMIgpWgtvXQptz4CpK4O2i+6A0m1w3qPgX1PoYDFs/tC6DqnHuKCt57B1a76m95O8R/UieupHNNVLuPWUdFIjIOkk4aTxuuHH70GZ1nVDftb8ybpL6+yboVUnq27bEuu29OReMPG9oO38YVbAc+2/oOtoq27H0voDnr/80poluvwNyJpg1e3fAcuets4/6qGg7d4N4PNA6y4Qd8Qt9oIgCJqQbQciFNM02bVrl1yQponTUs+oGCtV1eqIu7QGTraup/EHMGAFKDO2hAYwABf9Hq58y7pLy09MAvT8JXQaEWpbdQBQ1r5bfsp3wdfvQP6HobZLHoUFo2H7J8G64k3wfG/42xVALU03vQMr/wg/bAnaGh7rDjD/CtPCMTkt36NNHNFUL+HWU9JJTQjTNCkqKiI9PV2mQTUQsXr6Lz6uTXp/uOqtuvW3fAxV5aGprladYMys0MAGoFkytOwQvBAa4NAP1jU/Luv1fk0ztv7VWuywWTK06W7Zfp8HfxplpbSmfxs8xrKnrf8NvDW4OKO7Ar5bbi3KWHu1558ZEfseDSOiqV7CraekkxoBSScJPxvcB4OzLbWDp8+ftwKTc6ZC+llW3XfL4a1LoG0vuP2LoO2fx1sBz2ULgrfYF31Vf8Dz71ug4DMY8xT0sWZ/+HEffPGCdW3RkDuDtuWFVlquWVtrRWtBEJoEkk6KUHw+H9u3b5flsjUhemogpoUVvNQEMAFNB98Jl70eDGDASmU9uh9uWhx6jHPvhnHPWre2+7E7rFvPa9eBlY76sST0NvSKQlj1R1g9P9R28UPwQh9Y/3awrrwQXh8N79wQaluwwrrtfv+OYJ1Sde8oO8XIe1Q/oqlewq2npJOaEEopDhw4QMeOHcPdlIhA9NTPMTW128HVLLSuSz2rPaeeCTfn1K2f8CcrhZXQLlgX1xqG3AVRcaG2Npt191ft290P7YM9a6BFu1DbNa9B/gdWMNW6ZiXoAwXw4lk1s0HfBG3X/cVa2bnXr4J3fxnV1oXPsYnBrTQ0IO9R/Yimegm3npJOagQknSQIpxG1FxA8XAa7vrDqev0yaPPpHGsT06G/CQZVe9bB6+dBQgbckxe0/cd1wYBn4GSrbv8OeOksiG4GDxUFbT9+zLoQesid0OdKq676R2tPsdhE6HddsG3VP4LdWXdNI0H4mSHppAjF5/OxefNmmQbVhOipn9NS09qpp7hW1tYUtQMYgFEPWosL1p4VSusLM7aFLjoIkHW5tUVG7XWCfB5r4cOWHUJt92+3bnf3b38B1i30Sx6F/z0Q2rbFD8KsZPjsueBhD5VR+fqvMN+/I3SH+O+/sa4xqqgVMAnHxWn5Hm3ChFtPSSc1MaqqqsLdhIhC9NRPxGhqdwS3g6jNGZdYj9q07Qm/2VjXdtQjcNYNkFQrxeSIhj5Xge2I35BV5dZfV61fnodKab5nGWpfM7jk5WD96ldg/VvWpqnDa3aIP1wGLw+yArXbV1rtB2s3+ZI8686v9oOsOtO0bqWPTbRuv/+ZbXURMe/R04Rw6ilBTBPC4XDQr1+/YxsKx4XoqR/R9Aja9gjdrgKgZQZMeK2u7RV/AU+llVKqwdEsCS56DtuRG4o2awtteoRe21N1wLrmx1sVDGAANn9kBTy2R4NBjLscXuxrlR/dD46ac675E2zLgd5XBu/+Mn2Q929rE9XO5wVtm+g+X/Ie1Uu49ZR0UhPC5/ORl5cn06CaED31I5r+BOx2a1YkOj5Q5XMlkBd7Dr6zJ4fanv9buONL6PvrYF1CO7jtc7juX6G2Hc+Fs6630mN+3BXWhdDRzYNBCVh7eW3LsWZp/FSVw7uT4f+uCD3ukt/CnPaw4plgnc+AD6dbO7x73cH6iiLrVnz/bFMYkfeoXsKtp8zECIIgRAJOF6T0rlt/5tXWozatMuHh4rqrJ/efBO3Psfb18mN6odNIa8Xl2gFPVRlUVwC1ZmPcFbB2gVUe8UCwfvU86zb4IXdaa/yAFfD8aaSV0rr6/4KLKxbmwg/5VhtqB17eKlnvR6iDBDFNCIfDQVZWVribETGInvoRTfXS6Ho6XaHP2w2wHrVpngLXL6r72jGzYOjd1uyRH7sDRtwPnkOhAY/daQUrsbX23HJXWLeqAzhrBSffvh8MePxBjM+AWSnWZqXT84N7d327yJo56nx+cO8vsNb9iUmwFlZ0RIU0W96jegm3npJOakL4fD7Wr18v06CaED31I5rq5bTWM7YlJHUNvfg5tqW1aejYWaG2ox+H+3fCsOnBuuh4uPbf1uajtQOepG7QdSwk1xoY/Xd3Ge7QC58L11iLGe79Kljn88JfLoZXh1srSvtZPR/+eDbm8mdCNf3s99a1QNU/Bm2rK61rjGR/pWMS7veozMQ0MWJjZTpVJ6KnfkRTvUSsnlEx0LWehQ7732A9ahPXCh4otC5Irh3wdBtrzfC0q7XlhfcwtOlpBSG1Z4kqCqF0K7jLiU2u0dTnhU8et8pZlwVtv5xvXdfTbyL86o/B+r9fa6W0Lnja2tcLoHQ7lO2w9hxL6nriOkQA4XyPShDThHA4HPTo0ePYhsJxIXrqRzTVi+hZg81mbXERc8TCZ5nDg5uG+olJgDtW1z3GObdDtwuwN0+hhz/Y8FRbt8AfGfD4Z2Vqr/bs88Lmmp3dL5wbrP/2vfoDnud6WgHXpGzrjjSAnV/Ajk8gfQD0GBe0Ld1urWQd3yb0zrImQLjfo5JOakIYhkFubi6GYRzbWDgmoqd+RFO9iJ4aSWgHmcMwWmYGNY2Og1++aO3wXjt4GP04PLIPRj4YrFMKfjXPuhaodsAT1xpS+wa3qwAr4Knca+3wXutuM3avtBYz3JId2rbXRsBz3eHAzmBd3rvW5qhfvBBqu+mf1rVAtVNlphm6GOIpJNzvUZmJaULYbDYSExOxNcG1GU5HRE/9iKZ6ET31c9yaHnnRszMa+l1b127ATdYj5CQOmLauZoanZbA+rR8MnAIZA4N1PsNaANFmD5352b/D2t29VWbosT+8Gzw/wp1fBWem1i6wNjztcyX8qtaiiIsftv4OudO6QBusXd8P7rWe++t+AuF+j0oQ04RwOBx06dIl3M2IGERP/YimehE99XNKNLXbIamec3T5Rd0NTx1OuL/Amk2pHQj0+pUVwLRsH6wzTeg4zAqO4mrd6VVVbm19ceQq0GvfBO8hOPvmYN23iyB7hrX9xlW1dnj/83jrwulL5gfb/v23ViDVprt1m70f90FrhsnuCPt7VNJJTQjDMFi5cqVMLWtC9NSPaKoX0VM/p62mdntoENOmG/S+PHTWxm6Ha/4ONy8OnbUZMg3uzoORDwXrlILhM6wd3uPbBOttdmieaj1qU/QV7Mm1zuFn1xfw3/sgd0Go7bzB8ERr2Ls+7Ho2mSBm1qxZDBkyhLi4OFq2bFmvze7du7n44ouJj48nKSmJu+66C4/HE2Lz9ddfM2LECGJjY0lPT+eJJ57gyI28ly9fTv/+/YmJiaFTp07Mnz+/0fw6Eex2O+np6djtTabbTmtET/2IpnoRPfUTkZpGxVoXD7eoFZjYbNYt7WOeDC4kCNaszL2bYdwzoce49h246m+hwU3L9tDrEmsBxNpUHQAUxCSEXc8mk07yeDxcccUVDB48mAULFtT5v8/n46KLLqJNmzZ8/vnn7N+/nxtuuAGlFC+99BJgbe89evRoRo0aRW5uLlu3bmXSpEnEx8dz7733AlBQUMC4ceOYPHkyb7/9Nl988QVTp06lTZs2XHbZZXXOeyqx2+106NDh2IbCcSF66kc01YvoqR/RtAE6nlu3rttY63Ek9++0bnePbRV+PVUT480331QJCQl16rOzs5XdbldFRUWBuoULFyqXy6UqKiqUUkrNmzdPJSQkKLfbHbCZM2eOSktLU6ZpKqWUuu+++1SPHj1Cjj1lyhR1zjnnHHcbKyoqFBA4ry68Xq9avny58nq9Wo/7c0X01I9oqhfRUz+iqV4aQ88TGUMjZj5t1apVZGVlkZaWFqgbO3Ys1dXVrFu3LmAzYsQIXC5XiM3evXvZuXNnwGbMmDEhxx47dixr167F6/XWe+7q6moOHjwY8gACKxj6fL56y4ZhhJTNmtUhGyqbpkmnTp2w2+14vd5AGsxfVkrVKQMhZdM0Q8r+PGZDZZ/PF1LW7ZPX6w0pn0qf7HY7mZmZgXNGgk/h7iebzUanTp0Cx44En8LZT6ZpkpmZid1ujxifwt1PAB07dsRut0eMT+HsJ4DOnTtjmqb2fjoeIiaIKSkpITk5OaQuMTGR6OhoSkpKGrTxPz+WjWEYlJaW1nvuOXPmkJCQEHhkZFgLG+Xl5QGQn59Pfn4+AJs2bWLbtm0ArF+/noKCAgDWrFlDYWEhACtXrqS4uBiAFStWBM776aefEhcXh91uJycnh8rKSgCys7Nxu90YhkF2djaGYeB2u8nOttYiqKysJCcnB4Dy8nKWLl0KQGlpKStWrACguLiYlStXAlBYWMiaNWsAK722fv16ALZt28amTZu0+rR06VLKy62dbU+1T3a7nUOHDmnvp3D6FO5+Mk2T1q1b87///S9ifApnP23cuJHq6mrsdnvE+BTufiorK2P79u3Y7faI8Smc/VRWVkZ6ejqffvqpVp+OmxOb5NHLzJkzFXDUR25ubshrGkonTZ48WY0ZM6ZOfVRUlFq4cKFSSqnRo0erW2+9NeT/e/bsUYBatWqVUkqprl27qtmzZ4fYfP755wpQxcXF9frhdrtVRUVF4FFYWKgAVVZWppRSyjAMZRhGnbLX6w0p+3y+o5arqqrUxx9/rLxer/J4PIEUmL9smmadslIqpOzz+ULK/inAhsqGYYSU6/Pjp/jk8XhCyqfSJ6/Xqz7++ONAejESfAp3P3k8HvXxxx+rw4cPR4xP4ewnt9sd+MxHik/h7qfq6uqAppHiUzj7qbq6Wn3yySeqqqpKm08nkk4K64W906ZN4+qrrz6qTceOHY/rWCkpKXz55ZchdQcOHMDr9QZmVlJSUgIzLn727dsHcEwbp9NJ69at6z23y+UKSVH5cTgcIX+PLDudzhMqR0dH07t3b+x2e8iV4FFRUUct22y2QLn2a4+n3FDbdfl0rLY3pk+madK7d+/AcSLBp+MtN5ZPfk39n4dI8OnI8qn0KSoqqt7PfFP2Kdz95HQ6QzSNBJ/C2U+maZKVlUV0dHTgXD/Vp6qqKo6XsAYxSUlJJCUlaTnW4MGDmTVrFsXFxaSmWreI5eTk4HK56N+/f8DmoYcewuPxEB0dHbBJS0sLBEuDBw/mgw8+CDl2Tk4OAwYMCOmAcGC322nbtu2xDYXjQvTUj2iqF9FTP6KpXsKtZ5O5Jmb37t1s2LCB3bt34/P52LBhAxs2bODHH62NusaMGUOvXr2YOHEi69ev55NPPmHGjBlMnjyZFi2spZmvueYaXC4XkyZNIi8vj/fee4/Zs2czffr0wJLJt912G7t27WL69Onk5+fzxhtvsGDBAmbMmBE23/14vV4WL158whc+CfUjeupHNNWL6Kkf0VQvYdfzmAmn04Qbbrih3mtmPv3004DNrl271EUXXaRiY2NVq1at1LRp00Jup1ZKqU2bNqlhw4Ypl8ulUlJS1GOPPRbI3flZtmyZ6tevn4qOjlYdO3ZUr7zyygm1tbFusfb5fGr//v2BvKPw0xA99SOa6kX01I9oqpfG0PNExlCbUmHa+jKCOXjwIAkJCVRUVARmgQRBEARBODYnMoY2mXSSYE3bffTRRzINqgnRUz+iqV5ET/2IpnoJt54yE9MINNZMjFKKyspKmjdvHrZtzyMJ0VM/oqleRE/9iKZ6aQw9T2QMbTJ7JwnWrWiSntKH6Kkf0VQvoqd+RFO9hFtPSSc1IbxeL4sWLZJpUE2InvoRTfUieupHNNVLuPWUdFIj0JjpJLfbTUxMjEyDakD01I9oqhfRUz+iqV4aQ0+5sDeCqb1aovDTET31I5rqRfTUj2iql3DqKUFME6L2BlrCT0f01I9oqhfRUz+iqV7CraekkxqBxkwnGYaB0+mUaVANiJ76EU31InrqRzTVS2PoKemkCEZ+PehF9NSPaKoX0VM/oqlewqmnBDFNCMMwyMnJkQ+gJkRP/YimehE99SOa6iXceko6qRGQbQcEQRAE4eSQdFKEopTi4MGDSNypB9FTP6KpXkRP/Yimegm3nhLENCEMw+Czzz6TaVBNiJ76EU31InrqRzTVS7j1lHRSIyDpJEEQBEE4OSSdFKGYpklZWRmmaYa7KRGB6Kkf0VQvoqd+RFO9hFtPCWKaED6fj9zcXHw+X7ibEhGInvoRTfUieupHNNVLuPWUdFIjIOkkQRAEQTg5JJ0UoZimyb59+2QaVBOip35EU72InvoRTfUSbj0liGlCmKZJXl6efPg0IXrqRzTVi+ipH9FUL+HWU9JJjYCkkwRBEATh5JB0UoRimiZFRUXyC0IToqd+RFO9iJ76EU31Em49JYhpQpimyY4dO+TDpwnRUz+iqV5ET/2IpnoJt56STmoEJJ0kCIIgCCeHpJMiFNM02bVrl/yC0IToqR/RVC+ip35EU72EW08JYpoQ4c49Rhqip35EU72InvoRTfUSbj0lndQISDpJEARBEE4OSSdFKD6fj+3bt8ty2ZoQPfUjmupF9NSPaKqXcOspQUwTQinFgQMHkMkzPYie+hFN9SJ66kc01Uu49ZR0UiMg6SRBEARBODkknRSh+Hw+Nm/eLNOgmhA99SOa6kX01I9oqpdw69kkgpidO3dy8803k5mZSWxsLJ07d2bmzJl4PJ4Qu927d3PxxRcTHx9PUlISd911Vx2br7/+mhEjRhAbG0t6ejpPPPFEnWmw5cuX079/f2JiYujUqRPz589vdB+Pl6qqqnA3IaIQPfUjmupF9NSPaKqXcOrpDNuZT4DNmzdjmiavvvoqXbp0IS8vj8mTJ3Po0CGeffZZwIoGL7roItq0acPnn3/O/v37ueGGG1BK8dJLLwHWFNXo0aMZNWoUubm5bN26lUmTJhEfH8+9994LQEFBAePGjWPy5Mm8/fbbfPHFF0ydOpU2bdpw2WWXhU0DAIfDQb9+/cLahkhC9NSPaKoX0VM/oqlewq6naqLMnTtXZWZmBp5nZ2cru92uioqKAnULFy5ULpdLVVRUKKWUmjdvnkpISFButztgM2fOHJWWlqZM01RKKXXfffepHj16hJxrypQp6pxzzjnutlVUVCggcF5dGIahvv76a2UYhtbj/lwRPfUjmupF9NSPaKqXxtDzRMbQJpFOqo+KigpatWoVeL5q1SqysrJIS0sL1I0dO5bq6mrWrVsXsBkxYgQulyvEZu/evezcuTNgM2bMmJBzjR07lrVr1+L1euttS3V1NQcPHgx5AIEcoc/nq7dsGEZI2b9Y0NHKqib15fV665SVUnXKQEjZNM2QsmEYRy37fL6Qsm6fvF5vSPlU+6SUijifIrGffq4++Xy+QLsixafToZ/8x4skn8LdT0f691N9Ol6aZBCzY8cOXnrpJW677bZAXUlJCcnJySF2iYmJREdHU1JS0qCN//mxbAzDoLS0tN72zJkzh4SEhMAjIyMDgLy8PADy8/PJz88HYNOmTWzbtg2A9evXU1BQAMCaNWsoLCwEYOXKlRQXFwOwYsWKwHmXLVtGeno6DoeDnJwcKisrAcjOzsbtdmMYBtnZ2RiGgdvtJjs7G4DKykpycnIAKC8vZ+nSpQCUlpayYsUKAIqLi1m5ciUAhYWFrFmzBrDSa+vXrwdg27ZtbNq0SatPS5cupby8HOCU++RwOIiKiuKbb76JGJ/C3U9KKbp06cLixYsjxqdw9tPGjRuJjY3F4XBEjE/h7qcDBw5QWlqKw+GIGJ/C2U8HDhwgKyuLZcuWafXpuDnu+Z1GYObMmQo46iM3NzfkNUVFRapLly7q5ptvDqmfPHmyGjNmTJ1zREVFqYULFyqllBo9erS69dZbQ/6/Z88eBahVq1YppZTq2rWrmj17dojN559/rgBVXFxcrx9ut1tVVFQEHoWFhQpQZWVlSilrus0/1Va77PV6Q8o+n++oZbfbrdatW6cMw1AejyeQAvOXTdOsU1ZKhZR9Pl9I2ev1HrVsGEZIuT4/fopPHo8npHwqfTIMQ61bt05VV1dHjE/h7iev16vWrVunqqqqIsancPZTdXV14DMfKT6Fu588Ho9au3atMgwjYnwKZz95PB711VdfKbfbrc2nE0knhfXC3mnTpnH11Vcf1aZjx46B8t69exk1ahSDBw/mtddeC7FLSUnhyy+/DKk7cOAAXq83MLOSkpISmHHxs2/fPoBj2jidTlq3bl1vG10uV0iKyo/D4Qj5e2TZ6XSecDkuLg6AqKioQP2xyjabLVC22+3Y7fbjLjfUdl0+nYgfun3y+XzExcVp76dw+nS85cbyya9pJPl0ZPlU+uRwOAKf+Ujx6XTop/j4+IjzKVz95PP5iI2Nxel0Bs71U306kbudwhrEJCUlkZSUdFy2RUVFjBo1iv79+/Pmm28GxPIzePBgZs2aRXFxMampqYA1peVyuejfv3/A5qGHHsLj8RAdHR2wSUtLCwRLgwcP5oMPPgg5dk5ODgMGDAjpgHDgcDjo0aNHWNsQSYie+hFN9SJ66kc01Uu49WwS18Ts3buXkSNHkpGRwbPPPssPP/xASUlJyIzJmDFj6NWrFxMnTmT9+vV88sknzJgxg8mTJwdW/LvmmmtwuVxMmjSJvLw83nvvPWbPns306dOx2WwA3HbbbezatYvp06eTn5/PG2+8wYIFC5gxY0ZYfK+NYRjk5uYGLs4Sfhqip35EU72InvoRTfUSbj2bxDoxOTk5bN++ne3bt9OuXbuQ/6maK6AdDgcfffQRU6dOZejQocTGxnLNNdcE1pEBSEhIYMmSJdxxxx0MGDCAxMREpk+fzvTp0wM2mZmZZGdnc8899/Dyyy+TlpbGiy++GPY1YsCadktMTAwEXMJPQ/TUj2iqF9FTP6KpXsKtp+yd1AjI3kmCIAiCcHLI3kkRimEYrFy5UqZBNSF66kc01YvoqR/RVC/h1lOCmCaE3W4nPT29zkXNwskheupHNNWL6Kkf0VQv4dZT0kmNgKSTBEEQBOHkkHRShGIYBitWrJBpUE2InvoRTfUieupHNNVLuPWUIKYJYbfb6dy5s0yDakL01I9oqhfRUz+iqV7CraekkxoBSScJgiAIwskh6aQIxTAMli5dKtOgmhA99SOa6kX01I9oqpdw6ylBTBPCbreTlZUl06CaED31I5rqRfTUj2iql3DrKemkRkDSSYIgCIJwckg6KULxer0sXrwYr9cb7qZEBKKnfkRTvYie+hFN9RJuPWUmphForJkY0zQpLy+nZcuWMhWqAdFTP6KpXkRP/YimemkMPU9kDJUgphGQdJIgCIIgnBySTopQvF4vH330kUyDakL01I9oqhfRUz+iqV7CrafMxDQCjTUTo5SisrKS5s2byzbyGhA99SOa6kX01I9oqpfG0PNExlCnljMKpwSbzSbpKY2InvoRTfUieupHNNVLuPWUdFITwuv1smjRIpkG1YToqR/RVC+ip35EU72EW09JJzUCjZlOcrvdxMTEyDSoBkRP/YimehE99SOa6qUx9JQLeyMYp1MygDoRPfUjmupF9NSPaKqXcOopQUwTwjAMsrOzZc8PTYie+hFN9SJ66kc01Uu49ZR0UiPQmOkkwzBwOp0yDaoB0VM/oqleRE/9iKZ6bgazNQAAIABJREFUaQw9JZ0UwcivB72InvoRTfUieupHNNVLOPWUIKYJYRgGOTk58gHUhOipH9FUL6KnfkRTvYRbT0knNQKy7YAgCIIgnBySTopQlFIcPHgQiTv1IHrqRzTVi+ipH9FUL+HWU4KYJoRhGHz22WcyDaoJ0VM/oqleRE/9iKZ6Cbeekk5qBCSdJAiCIAgnh6STIhTTNCkrK8M0zXA3JSIQPfUjmupF9NSPaKqXcOspQUwTwufzkZubi8/nC3dTIgLRUz+iqV5ET/2IpnoJt56STmoEJJ0kCIIgCCeHpJMiFNM02bdvn0yDakL01I9oqhfRUz+iqV7CrWeTCWJ++ctf0r59e2JiYkhNTWXixIns3bs3xGb37t1cfPHFxMfHk5SUxF133YXH4wmx+frrrxkxYgSxsbGkp6fzxBNP1Lk1bPny5fTv35+YmBg6derE/PnzG92/48E0TfLy8uTDpwnRUz+iqV5ET/2IpnoJt55NJp30hz/8gcGDB5OamkpRUREzZswAYOXKlYCVl+vbty9t2rThueeeY//+/dxwww1MmDCBl156CbCmqLp168aoUaN4+OGH2bp1K5MmTWLmzJnce++9ABQUFJCVlcXkyZOZMmUKX3zxBVOnTmXhwoVcdtllx9VWSScJgiAIwslxQmOoaqIsWrRI2Ww25fF4lFJKZWdnK7vdroqKigI2CxcuVC6XS1VUVCillJo3b55KSEhQbrc7YDNnzhyVlpamTNNUSil13333qR49eoSca8qUKeqcc8457rZVVFQoIHBeXfh8PrVnzx7l8/m0HvfniuipH9FUL6KnfkRTvTSGnicyhjaZdFJtysrK+Nvf/saQIUOIiooCYNWqVWRlZZGWlhawGzt2LNXV1axbty5gM2LECFwuV4jN3r172blzZ8BmzJgxIecbO3Ysa9euxev11tue6upqDh48GPIAAldr+3y+esuGYYSU/dNxDZU9Hg/bt2/HNE28Xm8gDeYvK6XqlIGQsv+1/rJ/gaKGyj6fL6Ss2yev1xtSPpU+mabJ9u3bA6+NBJ/C3U8+n4/t27dTXV0dMT6Fs5+8Xm/gMx8pPoW7nwzDCGgaKT6Fs58Mw2DHjh14PB6tPh0vTSqIuf/++4mPj6d169bs3r2bRYsWBf5XUlJCcnJyiH1iYiLR0dGUlJQ0aON/fiwbwzAoLS2tt11z5swhISEh8MjIyAAgLy8PgPz8fPLz8wHYtGkT27ZtA2D9+vUUFBQAsGbNGgoLCwErRVZcXAzAihUrAuddvnw5vXv3xul0kpOTQ2VlJQDZ2dm43W4MwyA7OxvDMHC73WRnZwNQWVlJTk4OAOXl5SxduhSA0tJSVqxYAUBxcXEgNVdYWMiaNWsAK722fv16ALZt28amTZu0+rR06VLKy8sBTrlPTqeT5ORkvv3224jxKdz9BDBw4MCAH5HgUzj7adOmTaSnp+N0OiPGp3D3U3l5OT6fD6fTGTE+hbOfysvLGT58OMuXL9fq03FzgrM8Wpk5c6YCjvrIzc0N2P/www9qy5YtKicnRw0dOlSNGzcukAaaPHmyGjNmTJ1zREVFqYULFyqllBo9erS69dZbQ/6/Z88eBahVq1YppZTq2rWrmj17dojN559/rgBVXFxcrx9ut1tVVFQEHoWFhQpQZWVlSimlDMNQhmHUKXu93pCyfzquoXJ1dbUqKChQPp9PeTyegO/+smmadcpKqZCy/7X+stfrPWrZMIyQcn1+/BSfPB5PSPlU+uTz+dR3330XeG0k+BTufjIMQxUUFARStpHgUzj7qbq6Wn333XeBY0SCT+HuJ6/Xq3bs2KF8Pl/E+BTOfvJ6vWrnzp2qurpam08nkk5ynljIo5dp06Zx9dVXH9WmY8eOgXJSUhJJSUl069aNnj17kpGRwerVqxk8eDApKSl8+eWXIa89cOAAXq83MLOSkpISmHHxs2/fPoBj2jidTlq3bl1vG10uV0iKyo/D4Qj5e2TZ6XSeUNlut7N3717atWsXSKMBxyzbbLZA2W63Y7fbj7vcUNt1+XQifuj2yTAMiouLAzNnkeDT8ZYbyyfDMALv0Ujx6cjyqfTJbrcH3qOR4lO4+wmsGff27dvjdDojwqdw9pNhGBQVFZGenh4410/1qaqqiuMlrEGMPyg5GVRNvs2fex88eDCzZs2iuLiY1NRUwJrScrlc9O/fP2Dz0EMP4fF4iI6ODtikpaUFgqXBgwfzwQcfhJwrJyeHAQMGhHRAOHA6nQwZMiSsbYgkRE/9iKZ6ET31I5rqJdx6NolrYtasWcMf//hHNmzYwK5du/j000+55ppr6Ny5M4MHDwZgzJgx9OrVi4kTJ7J+/Xo++eQTZsyYweTJkwO3aF1zzTW4XC4mTZpEXl4e7733HrNnz2b69OnYbDYAbrvtNnbt2sX06dPJz8/njTfeYMGCBYFbusOJ/6JJ/8VWwk9D9NSPaKoX0VM/oqlewq1nkwhiYmNjeffddzn//PPp3r07N910E1lZWSxfvjyQxnE4HHz00UfExMQwdOhQrrzySi655BKeffbZwHESEhJYsmQJe/bsYcCAAUydOpXp06czffr0gE1mZibZ2dksW7aMvn378uSTT/Liiy8e9xoxjYlSigMHDtRZnE84OURP/YimehE99SOa/v/27j8uqir/H/hrhuGnIqImij9S09JC06RS08hK2TKrzce2tftJ/daaZS5lteraD13boty2tqx0+2W1lbmblpmUaCRkWKCggKKioqJiisgPhWHm3vv+/mFzcxQU8IzXmV7Px2MenblzZuac1x2a4zn3zlXL6jz95sfu/Al/7I6IiKh5eO2kAKXrOrZs2cJpUEWYp3rMVC3mqR4zVcvqPDmI8TNNOWqbzox5qsdM1WKe6jFTtazMk8tJPsDlJCIioubhclKA0nUdBQUFnAZVhHmqx0zVYp7qMVO1rM6TgxgiIiLyS1xO8gEuJxERETUPl5MClK7ryM3N5TSoIsxTPWaqFvNUj5mqZXWeHMT4mfDwcKubEFCYp3rMVC3mqR4zVcvKPLmc5ANcTiIiImoeLicFKE3TkJ2dDU3TrG5KQGCe6jFTtZinesxULavz5CDGj9hsNkRHR5sXq6SzwzzVY6ZqMU/1mKlaVufJ5SQf4HISERFR83A5KUBpmobMzExOgyrCPNVjpmoxT/WYqVpW58lBjB+x2+3o1KkT7HbuNhWYp3rMVC3mqR4zVcvqPLmc5ANcTiIiImoeLicFKE3TkJGRwWlQRZinesxULeapHjNVy+o8OYjxI3a7HRdddBGnQRVhnuoxU7WYp3rMVC2r8+Rykg9wOYmIiKh5uJwUoDRNQ1paGqdBFWGe6jFTtZinesxULavz5CDGj9jtdsTFxXEaVBHmqR4zVYt5qsdM1bI6Ty4n+QCXk4iIiJqHy0kByu12Y8WKFXC73VY3JSAwT/WYqVrMUz1mqpbVeXImxgd8NRNjGAYqKirQunVrToUqwDzVY6ZqMU/1mKlavsizKd+hHMT4AJeTiIiImofLSQHK7XZj+fLlnAZVhHmqx0zVYp7qMVO1rM6TMzE+4KuZGBFBdXU1IiMjeRl5BZinesxULeapHjNVyxd5NuU71KHkHemcsNlsXJ5SiHmqx0zVYp7qMVO1rM6Ty0l+xO12Y+nSpZwGVYR5qsdM1WKe6jFTtazOk8tJPuDL5SSn04mwsDBOgyrAPNVjpmoxT/WYqVq+yNMnB/bu3bv3rBtGZ8/h4AqgSsxTPWaqFvNUj5mqZWWejR7ExMXF4T//+Y8v29IodXV16N+/P2w2GzZs2OD12J49ezB69Gi0aNEC7dq1Q1JSElwul1ed/Px8JCQkIDw8HJ06dcLs2bNx8mRUeno6Bg4ciLCwMPTo0QPz58/3eb8aQ9M0pKSk8JofijBP9ZipWsxTPWaqluV5SiO9/vrrEhkZKXfccYeUlZU19mnKJSUlyU033SQAJDc319yuaZrExcXJ8OHDJScnR1auXCmxsbEyefJks05lZaXExMTIXXfdJfn5+bJ48WKJjIyUF1980ayzc+dOiYiIkIcfflg2b94sb731lgQHB8unn37a6DZWVlYKAKmsrFTT6Z8ZhiEul0sMw1D6ur9WzFM9ZqoW81SPmarlizyb8h3a6EGMyPEv+OHDh0tMTIwsXbq02Q1srpSUFOndu7ds2rTplEFMSkqK2O122bdvn7lt4cKFEhoaagbxxhtvSFRUlDidTrNOcnKyxMbGmjtg6tSp0rt3b6/3nThxogwaNKjR7fTlIKampoZ/fIowT/WYqVrMUz1mqpYv8mzKd2iTzk7q3r070tLS8OSTT2LMmDHo168frrjiCq+br/z000+YMGEC/vOf/yAiIuKUx9euXYu4uDjExsaa2xITE1FXV4f169ebdRISEhAaGupVZ//+/di1a5dZZ+TIkV6vnZiYiHXr1ll+NLumaUhNTeU0qCLMUz1mqhbzVI+ZqmV1nk0+xXr37t1YvHgx2rRpg9tuu+2Umy+ICMaPH48HHngA8fHx9dY5cOAAYmJivLZFR0cjJCQEBw4caLCO5/6Z6miahrKysnrfu66uDlVVVV43ANB13fxvfWVN07zKhmGctgwAo0ePRnBwMNxut3ksj6csIqeUPfl5yoZheJU9H7yGyrque5VV98ntdnuVz2WfgoODccstt5jX+wiEPlm9nxwOB2699VZ4BEKfrNxPNpsNt9xyC4KDgwOmT1bvp6CgIIwaNQrBwcEB0ycr91NQUJD53a+yT43VpEHMW2+9hb59+yI6OhoFBQV45plnMHPmTK9bU8yaNQs2m+20t3Xr1mHu3LmoqqrCX//619O+Xn2nd4mI1/aT63iCbmqdEyUnJyMqKsq8denSBQBQUFAAACgsLERhYSEAIC8vD0VFRQCA3NxcFBcXAwCysrJQUlICAMjMzERpaSkAICMjwxw8paWlYd++fRARpKamorq6GgCQkpICp9PpdYCV0+lESkoKAKC6uhqpqakAgIqKCqSlpQEAysrKkJGRAQAoLS1FZmYmAKCkpARZWVkAgOLiYuTm5gIAioqKkJeXp7xPFRUVAHDO+yQiKCgoCKg+Wb2f3G43Dh06FFB9snI/5eTkoLCwECISMH2yej8dOnQI3377LUQkYPpk5X46dOgQqqqqlPep0Rq5RCWJiYkSHR0t77//fmOfckaHDh2SwsLC095qa2vltttuE7vdLkFBQeYNgAQFBcnYsWNFROSpp56Sfv36eb1+eXm5AJC0tDQREbnnnnvk1ltv9aqTk5MjAGTnzp0iIjJs2DBJSkryqrNkyRJxOBzicrnq7YfT6ZTKykrzVlJSIgCkvLxcRI4fdKxp2illt9vtVdZ1/bTlmpoaWbZsmbhcLq8DqTzlEw+w8pRFxKus67pX2e12n7asaZpXub5+nE2fXC6XV/lc9snlcsmyZcuktrY2YPpk9X6qq6uTZcuWybFjxwKmT1bup9raWvNvPlD6ZPV+cjqdZqaB0icr95PT6ZQvv/xSampqlPWpKcfENPrH7kaMGIEFCxagc+fOTRslKbBnzx5ziQYA9u/fj8TERHz66ae4+uqr0blzZ3z11Ve45ZZbsHfvXnTs2BEAsGjRIowbNw4HDx5Eq1atMG/ePMyYMQM//fQTQkJCAAAvvPACXn31Vezduxc2mw3Tpk3DsmXLsHnzZvP9HnzwQWzYsAFr165tVHt5FWsiIqLmadJ36BmHOeeh4uLiBk+xvuGGGyQnJ0dWrVolnTt39jrFuqKiQmJiYuTuu++W/Px8WbJkibRq1areU6ynTJkimzdvlnfeeee8OcVa13U5fPiwOdqls8M81WOmajFP9ZipWr7I02dnJ53PgoKCsHz5coSFheGaa67BnXfeidtvvx0vvviiWScqKgorV67E3r17ER8fj0mTJuHRRx/Fo48+atbp3r07UlJSsHr1avTv3x/PPPMMXn31VYwZM8aKbnnRdR3Z2dnmwVZ0dpinesxULeapHjNVy+o8ee0kH+ByEhERUfP45NpJZD3DMHDw4EGvU66p+ZinesxULeapHjNVy+o8OYjxI4ZhoKCggH98ijBP9ZipWsxTPWaqltV5cjnJB7icRERE1DxcTgpQhmFg3759/BeEIsxTPWaqFvNUj5mqZXWeHMT4EcMwsGPHDv7xKcI81WOmajFP9ZipWlbnyeUkH+ByEhERUfNwOSlAGYaB3bt3818QijBP9ZipWsxTPWaqltV5chDjR6xeeww0zFM9ZqoW81SPmapldZ5cTvIBLicRERE1D5eTApSu69i+fTt/LlsR5qkeM1WLearHTNWyOk8OYvyIiODIkSPg5JkazFM9ZqoW81SPmapldZ5cTvIBLicRERE1D5eTApSu69iyZQunQRVhnuoxU7WYp3rMVC2r8+Qgxs/U1tZa3YSAwjzVY6ZqMU/1mKlaVubJ5SQf4HISERFR83A5KUDpuo6CggJOgyrCPNVjpmoxT/WYqVpW58lBDBEREfklLif5AJeTiIiImofLSQFK13Xk5uZyGlQR5qkeM1WLearHTNWyOk8OYvxMeHi41U0IKMxTPWaqFvNUj5mqZWWeXE7yAS4nERERNQ+XkwKUpmnIzs6GpmlWNyUgME/1mKlazFM9ZqqW1XlyEONHbDYboqOjYbPZrG5KQGCe6jFTtZinesxULavz5HKSD3A5iYiIqHm4nBSgNE1DZmYmp0EVYZ7qMVO1mKd6zFQtq/PkIMaP2O12dOrUCXY7d5sKzFM9ZqoW81SPmapldZ5cTvIBLicRERE1D5eTApSmacjIyOA0qCLMUz1mqhbzVI+ZqmV1nhzE+BG73Y6LLrqI06CKME/1mKlazFM9ZqqW1XlyOckHuJxERETUPAG5nNStWzfYbDav2/Tp073q7NmzB6NHj0aLFi3Qrl07JCUlweVyedXJz89HQkICwsPD0alTJ8yePRsnj+PS09MxcOBAhIWFoUePHpg/f77P+9cYmqYhLS2N06CKME/1mKlazFM9ZqqW1Xk6LHnXZpo9ezYmTJhg3m/ZsqVZ1nUdo0aNwgUXXIA1a9bg8OHDGDduHEQEc+fOBXB8dDdixAgMHz4c2dnZ2LZtG8aPH48WLVrgscceAwAUFxfj5ptvxoQJE/Dhhx/i+++/x6RJk3DBBRdgzJgx57bDJ7Hb7YiLi+M0qCLMUz1mqhbzVI+ZqmV5nuInLrzwQnn55ZcbfDwlJUXsdrvs27fP3LZw4UIJDQ2VyspKERF54403JCoqSpxOp1knOTlZYmNjxTAMERGZOnWq9O7d2+u1J06cKIMGDWp0WysrKwWA+b5ERETUOE35DvWroegLL7yAtm3bon///nj22We9lorWrl2LuLg4xMbGmtsSExNRV1eH9evXm3USEhIQGhrqVWf//v3YtWuXWWfkyJFe75uYmIh169bB7Xb7sHdn5na7sWLFCsvbESiYp3rMVC3mqR4zVcvqPP1mEPPwww/jk08+wbfffovJkyfjX//6FyZNmmQ+fuDAAcTExHg9Jzo6GiEhIThw4ECDdTz3z1RH0zSUlZXV27a6ujpUVVV53YDjS1ye/9ZX1jTNq2wYxmnLIoL4+HgEBQXB7Xabx/J4yiJyStnzPE/ZMAyvsmcds6GyruteZdV9crvdXuVz2aegoCAMHDjQ3I+B0Cer95Pdbkd8fLzXZ9bf+2TlfhIRDBw4EEFBQQHTJ6v3k81mwxVXXIGgoKCA6ZOV+8lms+HKK6+EiCjtU2NZOoiZNWvWKQfrnnxbt24dAGDKlClISEhAv3798Kc//Qnz58/HO++8g8OHD5uvV98FqETEa/vJdTxBN7XOiZKTkxEVFWXeunTpAgAoKCgAABQWFqKwsBAAkJeXh6KiIgBAbm4uiouLAQBZWVkoKSkBAGRmZqK0tBQAkJGRYQ6evv32W9hsNtjtdqSmpqK6uhoAkJKSAqfTCU3TkJKSAk3T4HQ6kZKSAgCorq5GamoqAKCiogJpaWkAgLKyMmRkZAAASktLkZmZCQAoKSlBVlYWgOPHCOXm5gIAioqKkJeXp7RPaWlpqKioAIBz3ie73Y6ysjLl+8nKPlm9nwzDQEREBL7++uuA6ZOV+2njxo2oqKiA3W4PmD5ZvZ/Ky8uRn58Pu90eMH2ycj+Vl5ejTZs2+Pbbb5X2qdEavUjlA4cOHZLCwsLT3mpra+t97t69ewWA/PDDDyIi8tRTT0m/fv286pSXlwsASUtLExGRe+65R2699VavOjk5OQJAdu7cKSIiw4YNk6SkJK86S5YsEYfDIS6Xq962OJ1OqaysNG8lJSUCQMrLy0VERNM00TTtlLLb7fYq67p+2nJNTY0sW7ZMXC6XuFwu8zgeT9kwjFPKIuJV1nXdq+x2u09b1jTNq1xfP86mTy6Xy6t8Lvvkcrlk2bJl5mcsEPpk9X6qq6uTZcuWybFjxwKmT1bup9raWvNvPlD6ZPV+cjqdZqaB0icr95PT6ZQvv/xSampqlPWpKcfE+M2BvSdbtmyZAJDdu3eLyC8H9u7fv9+s88knn5xyYG/r1q2lrq7OrPP888+fcmBvnz59vN7rgQceOC8O7DUMQyorK8220tlhnuoxU7WYp3rMVC1f5NmU71C/+LG7tWvX4ocffsDw4cMRFRWF7OxsTJkyBfHx8Vi6dCmA42t5/fv3R0xMDP7xj3+gvLwc48ePx+23326eYl1ZWYlLLrkE119/PWbMmIGioiKMHz8eTz/9tNcp1nFxcZg4cSImTJiAtWvX4oEHHsDChQsbfYo1f+yOiIioeZr0Haps6ORD69evl6uvvlqioqIkLCxMLrnkEpk5c6Y5Ze2xe/duGTVqlISHh0ubNm1k8uTJXqdTi4jk5eXJsGHDJDQ0VDp06CCzZs06ZQS5evVqGTBggISEhEi3bt1k3rx5TWqvr2ZiXC6XfP755w0ua1HTME/1mKlazFM9ZqqWL/IMuJkYf+OrmRgRgdPpRFhYWIMHGVPjMU/1mKlazFM9ZqqWL/IMyMsO0HEOh1/9yPJ5j3mqx0zVYp7qMVO1rMyTgxg/cuIpanT2mKd6zFQt5qkeM1XL6jy5nOQDvlxO0jQNDoeD06AKME/1mKlazFM9ZqqWL/LkclIA478e1GKe6jFTtZinesxULSvz5CDGj2iahtTUVP4BKsI81WOmajFP9ZipWlbnyeUkH+DvxBARETUPl5MClIigqqoKHHeqwTzVY6ZqMU/1mKlaVufJQYwf0TQN3333HadBFWGe6jFTtZinesxULavz5HKSD3A5iYiIqHm4nBSgDMNAeXk5DMOwuikBgXmqx0zVYp7qMVO1rM6Tgxg/ous6srOzoeu61U0JCMxTPWaqFvNUj5mqZXWeXE7yAS4nERERNQ+XkwKUYRg4ePAgp0EVYZ7qMVO1mKd6zFQtq/PkIMaPGIaBgoIC/vEpwjzVY6ZqMU/1mKlaVufJ5SQf4HISERFR83A5KUAZhoF9+/bxXxCKME/1mKlazFM9ZqqW1XlyEONHDMPAjh07+MenCPNUj5mqxTzVY6ZqWZ0nl5N8gMtJREREzcPlpABlGAZ2797Nf0EowjzVY6ZqMU/1mKlaVufJQYwfsXrtMdAwT/WYqVrMUz1mqpbVeXI5yQe4nERERNQ8XE4KULquY/v27fy5bEWYp3rMVC3mqR4zVcvqPDmI8SMigiNHjoCTZ2owT/WYqVrMUz1mqpbVeXI5yQe4nERERNQ8XE4KULquY8uWLZwGVYR5qsdM1WKe6jFTtazOk4MYP1NbW2t1EwIK81SPmarFPNVjpmpZmSeXk3yAy0lERETNw+WkAKXrOgoKCjgNqgjzVI+ZqsU81WOmalmdJwcxRERE5Je4nOQDXE4iIiJqnoBdTlq+fDmuvvpqhIeHo127drjjjju8Ht+zZw9Gjx6NFi1aoF27dkhKSoLL5fKqk5+fj4SEBISHh6NTp06YPXv2Kee3p6enY+DAgQgLC0OPHj0wf/58n/etMXRdR25uLqdBFWGe6jFTtZinesxULavzdFjyrs2wePFiTJgwAc899xyuv/56iAjy8/PNx3Vdx6hRo3DBBRdgzZo1OHz4MMaNGwcRwdy5cwEcH92NGDECw4cPR3Z2NrZt24bx48ejRYsWeOyxxwAAxcXFuPnmmzFhwgR8+OGH+P777zFp0iRccMEFGDNmjCV9P1F4eLjVTQgozFM9ZqoW81SPmaplaZ7iB9xut3Tq1EnefvvtBuukpKSI3W6Xffv2mdsWLlwooaGhUllZKSIib7zxhkRFRYnT6TTrJCcnS2xsrBiGISIiU6dOld69e3u99sSJE2XQoEGNbm9lZaUAMN+XiIiIGqcp36F+sZyUk5ODffv2wW63Y8CAAejYsSNuuukmbNq0yayzdu1axMXFITY21tyWmJiIuro6rF+/3qyTkJCA0NBQrzr79+/Hrl27zDojR470ev/ExESsW7cObrfbh708M03TkJ2dDU3TLG1HoGCe6jFTtZinesxULavz9ItBzM6dOwEAs2bNwpNPPokvv/wS0dHRSEhIQHl5OQDgwIEDiImJ8XpedHQ0QkJCcODAgQbreO6fqY6maSgrK6u3fXV1daiqqvK6ATDXCHVdr7esaZpX2XMp84bKuq6jdevWsNlscLvd5rE8nrKInFIG4FU2DMOr7PngNVTWdd2rrLpPbrfbq3wu+2Sz2RAVFeWVr7/3yer9BACtW7c22xIIfbJyPxmGgaioKNhstoDpk9X7SUTQqlUr2Gy2gOmTlftJRBAdHQ1d15X2qbEsHcTMmjULNpvttLd169aZwTzxxBMYM2YMBg4ciAULFsBms+F///uf+Xo2m+2U9xARr+0n1/EE3dQ6J0pOTkZUVJR569KlCwCgoKAAAFBYWIjCwkIAQF5eHoqKigAAubm5KC4uBgBkZWWhpKQEAJCZmYnS0lIY7FKdAAAgAElEQVQAQEZGhjl4Wr16Ndq2bYugoCCkpqaiuroaAJCSkgKn0wlN05CSkgJN0+B0OpGSkgIAqK6uRmpqKgCgoqICaWlpAICysjJkZGQAAEpLS5GZmQkAKCkpQVZWFoDjxwjl5uYCAIqKipCXl6e0T2lpaaioqACAc96noKAgGIZhzugFQp+s3k8igs6dO2PFihUB0ycr99PGjRtht9sRFBQUMH2yej8dOXIE+/btQ1BQUMD0ycr9dOTIEfTs2ROrV69W2qdGa/QilQ8cOnRICgsLT3urra2VtLQ0ASDfffed1/OvuuoqmTFjhoiIPPXUU9KvXz+vx8vLywWApKWliYjIPffcI7feeqtXnZycHAEgO3fuFBGRYcOGSVJSkledJUuWiMPhEJfLVW8/nE6nVFZWmreSkhIBIOXl5SIiommaaJp2StntdnuVdV0/bbm2tlbWrFkjbrdbXC6XeRyPp2wYxillEfEq67ruVXa73acta5rmVa6vH2fTJ5fL5VU+l31yu92yZs0a8xipQOiT1fvJ5XLJmjVrpKamJmD6ZOV+cjqd5t98oPTJ6v1UV1dnZhoofbJyP9XV1cn3338vtbW1yvrUlGNi/OLA3srKSgkNDfU6sNflckn79u3l3//+t4j8cmDv/v37zTqffPLJKQf2tm7dWurq6sw6zz///CkH9vbp08fr/R944IHz4sBeXddl165d5geFzg7zVI+ZqsU81WOmavkiz4AbxIiIPPzww9KpUydZsWKFbNmyRe677z5p376912xHXFyc3HDDDZKTkyOrVq2Szp07y+TJk83XqKiokJiYGLn77rslPz9flixZIq1atZIXX3zRrLNz506JiIiQKVOmyObNm+Wdd96R4OBg+fTTTxvdVp6dRERE1DwBOYhxuVzy2GOPSfv27SUyMlJuvPFGKSgo8Kqze/duGTVqlISHh0ubNm1k8uTJXqdTi4jk5eXJsGHDJDQ0VDp06CCzZs0yZ2E8Vq9eLQMGDJCQkBDp1q2bzJs3r0lt9dUgxu12S3p6ujklSGeHearHTNVinuoxU7V8kWdTvkN52QEf8NVlBwzDQGlpKTp27Ai73S9OLDuvMU/1mKlazFM9ZqqWL/JsyncoBzE+wGsnERERNU/AXjvp107TNKSlpfFHmhRhnuoxU7WYp3rMVC2r8+Qgxo/Y7XbExcVxClQR5qkeM1WLearHTNWyOk8uJ/kAl5OIiIiah8tJAcrtdmPFihWWX8MpUDBP9ZipWsxTPWaqltV5cibGB3x5dlJFRQVat27NqVAFmKd6zFQt5qkeM1XLF3ny7CSLcTmJiIioebicFKDcbjeWL1/OaVBFmKd6zFQt5qkeM1XL6jw5E+MDvpqJERFUV1cjMjKywStqU+MxT/WYqVrMUz1mqpYv8mzKd6hDyTvSOWGz2bg8pRDzVI+ZqsU81WOmalmdJ5eT/Ijb7cbSpUs5DaoI81SPmarFPNVjpmpZnSeXk3zAl8tJTqcTYWFhnAZVgHmqx0zVYp7qMVO1fJEnD+wNYA4HVwBVYp7qMVO1mKd6zFQtK/PkIMaPaJqGlJQUXvNDEeapHjNVi3mqx0zVsjpPLif5gC+XkzRNg8Ph4DSoAsxTPWaqFvNUj5mq5Ys8uZwUwPivB7WYp3rMVC3mqR4zVcvKPDmI8SOapiE1NZV/gIowT/WYqVrMUz1mqpbVeXI5yQd42QEiIqLm4XJSgBIRVFVVgeNONZinesxULeapHjNVy+o8OYjxI5qm4bvvvuM0qCLMUz1mqhbzVI+ZqmV1nlxO8gEuJxERETUPl5MClGEYKC8vh2EYVjclIDBP9ZipWsxTPWaqltV5chDjR3RdR3Z2NnRdt7opAYF5qsdM1WKe6jFTtazOk8tJPsDlJCIioubhclKAMgwDBw8e5DSoIsxTPWaqFvNUj5mqZXWeHMT4EcMwUFBQwD8+RZinesxULeapHjNVy+o8uZzkA1xOIiIiah4uJwUowzCwb98+/gtCEeapHjNVi3mqx0zVsjpPDmL8iGEY2LFjB//4FGGe6jFTtZinesxULavz5HKSD3A5iYiIqHkCbjlp9erVsNls9d6ys7PNenv27MHo0aPRokULtGvXDklJSXC5XF6vlZ+fj4SEBISHh6NTp06YPXv2Kdd8SE9Px8CBAxEWFoYePXpg/vz556SfZ2IYBnbv3s1/QSjCPNVjpmoxT/WYqVpW5+kXg5ghQ4agtLTU6/anP/0J3bp1Q3x8PIDjP7gzatQoHDt2DGvWrMEnn3yCxYsX47HHHjNfp6qqCiNGjEBsbCyys7Mxd+5cvPjii3jppZfMOsXFxbj55psxbNgw5ObmYsaMGUhKSsLixYvPeb9PZvXaY6BhnuoxU7WYp3rMVC3L8xQ/5HK5pH379jJ79mxzW0pKitjtdtm3b5+5beHChRIaGiqVlZUiIvLGG29IVFSUOJ1Os05ycrLExsaKYRgiIjJ16lTp3bu31/tNnDhRBg0a1Oj2VVZWCgDzfYmIiKhxmvId6hczMSf74osvUFZWhvHjx5vb1q5di7i4OMTGxprbEhMTUVdXh/Xr15t1EhISEBoa6lVn//792LVrl1ln5MiRXu+XmJiIdevWwe12+65TjaDrOrZv386fy1aEearHTNVinuoxU7WsztMvBzHvvPMOEhMT0aVLF3PbgQMHEBMT41UvOjoaISEhOHDgQIN1PPfPVEfTNJSVldXbnrq6OlRVVXndAJg7Vdf1esuapnmVPdNxDZXdbjfKy8shInC73eaxPJ7yids9ZQBeZcMwvMqey6c3VNZ13avsiz6dWD6XfRIRlJeXn7F//tQnq/eT52JwnmPRAqFPVu8nz998IPXJyv2k6zoOHz4MEQmYPlm5n3Rdx5EjR5T3qbEsHcTMmjWrwQN2Pbd169Z5PWfv3r1YsWIF7rvvvlNez2aznbJNRLy2n1zHE3RT65woOTkZUVFR5s0zuCooKAAAFBYWorCwEACQl5eHoqIiAEBubi6Ki4sBAFlZWSgpKQEAZGZmorS0FACQkZFhDp7S09PRs2dPOBwOpKamorq6GgCQkpICp9MJTdOQkpICTdPgdDqRkpICAKiurkZqaioAoKKiAmlpaQCAsrIyZGRkAABKS0uRmZkJACgpKUFWVhaA48cI5ebmAgCKioqQl5entE9paWmoqKgAgHPeJ4fDgVatWmHz5s0B0yer9xMA9O3b1+xHIPTJyv2Ul5eHNm3awOFwBEyfrN5PFRUVOHbsGBwOR8D0ycr9VFFRgSuvvBLp6elK+9RYlp5iXVZW1uDshke3bt0QFhZm3n/mmWcwd+5c7Nu3D8HBweb2p59+GkuXLsXGjRvNbUeOHEGbNm2QlpaG4cOHY+zYsaisrMTSpUvNOrm5ubjiiiuwc+dOdO/eHddeey0GDBiAV155xazz2Wef4c4770RNTY3Xe3rU1dWhrq7OvF9VVYUuXbqgvLwc0dHR5mg2KCjIq6xpGmw2m1m22+2w2+0Nluvq6rBz505cfPHFMAwDDocDNpsNbrcbDocDwPGR8Ynl4OBg819xwcHBMAwDuq6bZc/rNFTWdR0iYpbr68fZ9MntdiMoKMgsn8s+2Ww2bN26FT179kRISEhA9Mnq/WSz2VBUVITu3bsjLCwsIPpk5X5yuVzYvn07LrnkEohIQPTJ6v3kdrtRVFSESy65BDabLSD6ZOV+EhHs2LED3bt3R3BwsJI+1dbWNvoUa8dpH/Wxdu3aoV27do2uLyJYsGABxo4de8pgYvDgwXj22WdRWlqKjh07Ajg+GgwNDcXAgQPNOjNmzIDL5UJISIhZJzY2Ft26dTPrLFu2zOu1U1NTER8fX+8ABgBCQ0O9jrPxCAoK8vrvyWXPzmxK2el0AoBXW85UttlsZtnz4WtsuaG2q+pTU/qhuk+6rqOurk75frKyT40t+6pPuq7D6XQGVJ9OLp/LPgUFBZn/QAqUPp0P+8mTaSD1yar95Bl0OBwO873Otk+1tbVotDMe+nseWbVqlQCQzZs3n/KYpmkSFxcnN9xwg+Tk5MiqVaukc+fOMnnyZLNORUWFxMTEyN133y35+fmyZMkSadWqlbz44otmnZ07d0pERIRMmTJFNm/eLO+8844EBwfLp59+2uh28uwkIiKi5gnYs5PeeecdDBkyBH369DnlsaCgICxfvhxhYWG45pprcOedd+L222/Hiy++aNaJiorCypUrsXfvXsTHx2PSpEl49NFH8eijj5p1unfvjpSUFKxevRr9+/fHM888g1dffRVjxow5J308HV3XUVBQwKPqFWGe6jFTtZinesxULavztHQ5qak+/vjj0z7etWtXfPnll6et07dvX/MAqIYkJCQgJyenye0jIiKic4fXTvIBXjuJiIioeZryHepXMzGBRtf1Jp0Tr+s6tm7diksuucTrACxqnkDMMzg42NK+6LqOvLw89OvXL2AytRLzVI+ZqmV1nhzEWEBEcODAAfOc+qY8z+FwYPfu3Q3+Zg01XqDm2bp1a3To0MGyPoWHh1vyvoGKearHTNWyMk8uJ/nAmabCSktLUVFRgfbt2yMiIiKgvkDJOiKCmpoaHDx4EK1btzZ/aoCIyJ9wOek8puu6OYBp27Ztk57r+ZLiwEeNQMzT8y+igwcPon379ud8elfTNOTm5mLAgAFevydBzcM81WOmalmdp1+dYh0IPMfARERENOv5XMNVKxDz9Hy2rLhgqc1mQ3R0dMAMCq3GPNVjpmpZnSeHoRZpzg632Wxel2CgsxOoeVr5P+egoCD07NnTsvcPNMxTPWaqltV5cibGj4gIjh49Cn88jOm9995D69atzfuzZs1C//79lb7H+PHjcfvtt5v3r7vuOjzyyCMN1vfnPM9XmqYhMzPTvFounR3mqR4zVcvqPDmI8TMNXb/pXDjToKApHn/8cXzzzTeNqtvcAc+SJUvwzDPPnLaOlXkGIrvdjk6dOpnXUKGzwzzVY6ZqWZ0nl5P8iM1mq/dCk/6oZcuWaNmypU/fo02bNqd9vDF5ut1uDnSawG6348ILL7S6GQGDearHTNWyOk8ORf2IiKC6utqS5Y/x48cjPT0dr7zyCmw2G2w2G3bt2tVg/ffeew9du3ZFREQEfvvb3+Lw4cNej588u7J69WpcddVVaNGiBVq3bo1rrrkGu3fvxnvvvYe//e1v2Lhxo/m+7733XqPafPLMUbdu3fDcc8/h3nvvRWRkJLp27YpXX33VzHPXrl2w2Wz473//i+uuuw5hYWH48MMPAQCZmZm49tprER4eji5duiApKQnHjh0zX7u0tBSjRo1CeHg4unfvjo8//hjdunXDv/71r0a1NVBomoaMjAxO1SvCPNVjpmpZnScHMeeRGpfW4M3pPn5xLc/MQWPqnul1m+KVV17B4MGDMWHCBJSWlqK0tBRdunSpt+6PP/6Ie++9F5MmTcKGDRswfPhw/P3vf2/wtTVNw+23346EhATk5eVh7dq1uP/++2Gz2fD73/8ejz32GC677DLzfX//+983qe0n+uc//4n4+Hjk5ubiwQcfxJQpU7BlyxavOtOmTUNSUhIKCwuRmJiI/Px8JCYm4o477kBeXh4WLVqENWvWYPLkyeZzxo4di/3792P16tVYvHgx3nzzTRw8eLDZ7fRXdrsdF110EafqFWGe6jFTtazOk8tJ55FLn17R4GPDL7kAC/7fVQgJCQEADHxmFWrd9V819OrubbBo4mDz/tAXvkX5Mdcp9XY9P6rRbYuKikJISAgiIiLQoUOH09Z95ZVXkJiYiOnTpwMALr74YmRmZuLrr7+ut35VVRUqKytxyy234KKLLgIAryuVt2zZEg6H44zv2xg333wzJk2aBACYPn06/vWvfyE9Pd3r/R555BHccccd5v3p06fjD3/4gzmr06tXL7z66qtISEjAvHnzsGvXLqxatQrZ2dmIj48HALz99tvo1avXWbfX33jWx0kN5qkeM1XL6jw5FPUjIoKqqqrz6myayy67zDy+5aabbgIAFBYWYvDgwV71Tr5/ojZt2mD8+PFITEzE6NGj8corr6C0tNQn7e3Xr5/X/fbt2+Onn37y2uYZiHisX78e7733ntnPli1bIjExEYZhoLi4GFu3boXD4cAVV1xhPqdnz56Ijo72SR/OZ5qmIS0tjVP1ijBP9ZipWlbnyZmY88jm2YkNPmb/+bc/PL/Iuv6pG89Y12PNtOEKWle/lJQU80fVPG1rziBrwYIFSEpKwtdff41FixbhySefxMqVKzFo0CCl7T35IF273Q7DMLy2tWjRwuu+YRiYOHEikpKSTnm9rl27YuvWrfW+1/k02DxX7HY74uLiOFWvCPNUj5mqZXWeHMScRyJCzrw7PF/CjanblNdtjJCQEOi69xJWfUelX3rppfjhhx+8tp18vz4DBgzAgAED8Ne//hWDBw/Gxx9/jEGDBtX7vip4DhQ+04/DXXHFFdi0aVODP+jUu3dv86e3Bw4cCADYvn17ky/wGQjsdjvat29vdTMCBvNUj5mqZXWeHIr6EcMwUFlZecrMwbnSrVs3/Pjjj9i1axfKysoabIdnRmXOnDnYtm0bXnvttQaPhwGA4uJi/PWvf8XatWuxe/dupKamYtu2beZxKt26dUNxcTE2bNiAsrIy1NXVKemPYRjQdf2MMybTpk3D2rVr8dBDD2HDhg0oKirCF198gT//+c8Ajg9ibrzxRtx///3IyspCbm4u7r//foSHh//qftrc7XZjxYoVllzyIBAxT/WYqVpW58lBjB+x2Wxo0aKFZV+Mjz/+OIKCgnDppZfiggsuwJ49e+qtN2jQILz99tuYO3cu+vfvj9TUVDz55JMNvm5ERAS2bNmCMWPG4OKLL8b999+PyZMnY+LEiQCAMWPG4De/+Q2GDx+OCy64AAsXLlTSH5vN1qgp0H79+iE9PR1FRUUYNmwYBgwYgKeeesrrKtEffPABYmJicO211+K3v/0tJkyYgMjIyIC8rMHpBAUF4corrwzIa1JZgXmqx0zVsjpPm/waF+597HSXEXc6nSguLkb37t1/dV9wvyZ79+5Fly5dsGrVKtxwww3n9L35GSMif3a679CTcSbGjxiGgYqKCsuWkwKNyjzT0tLwxRdfoLi4GJmZmbjrrrvQrVs3XHvttQpa6j/cbjeWL1/OqXpFmKd6zFQtq/Pkgb1+xGazITIy8ld3nIWvqMzT7XZjxowZ2LlzJyIjIzFkyBB89NFHv7pLFjgcDgwbNgwOB//XogLzVI+ZqmV1ntyLfsRms3EdVyGVeSYmJiIxseFT5H8tbDbbGad/qfGYp3rMVC2r8+Rykh/hcpJazFM9t9uNpUuXcqpeEeapHjNVy+o8OYjxI54RL5eT1GCe6jkcDowcOZJT9YowT/WYqVpW58lBDBEpxS8HtZinesxULSvz5CDGj5yP107yZ8xTPU3TkJKSwuvSKMI81WOmalmdJ38nxgd89TsxIgIRadRP5dOZBWqeVv5OjIhA0zQ4HI6AytQqzFM9ZqqWL/Lk78QQkWX4L1y1mKd6zFQtK/PkIMaPBNLyx6xZs9C/f3/z/vjx43H77bef0zY0JU+bzYbPP/8cALBr1y7YbDZs2LDB1030O5qmITU1lV8SijBP9ZipWlbnyaOb/Ijdbkfr1q2tboZPvPLKK+d8cNbcPLt06YLS0lK0a9fOB63yb8HBwbjtttusbkbAYJ7qMVO1rM6TMzF+REQaddXl84VnrbQxoqKifD5A03Xd6zdhmptnUFAQOnTocFZH5Afqb1QE0mzh+YB5qsdM1bI6T78ZxGzbtg233XYb2rVrh1atWuGaa67Bt99+61Vnz549GD16NFq0aIF27dohKSkJLpfLq05+fj4SEhIQHh6OTp06Yfbs2aeEn56ejoEDByIsLAw9evTA/Pnzfd6/xhARVFdXW/ZhqaurQ1JSEtq3b4+wsDAMHToU2dnZ5uOrV6+GzWbDihUrEB8fj9DQUHz33XcAgOeffx4xMTGIjIzEfffdB6fT6fXaJy8nXXfddUhKSsLUqVPRpk0bdOjQAbNmzfJ6zksvvYS+ffuiRYsW6NKlCyZNmoSjR4+aj7/33nto3bo1vvzyS1x66aVme4KDg3HgwAGvPB977LFGX+fo5OUkT7+/+eYbxMfHIyIiAkOGDMHWrVvN53iWz95991306NEDoaGh5oHFc+bMQY8ePRAeHo7LL78cn376qdf7ffHFF+jVqxfCw8MxfPhwvP/++7DZbKioqGhUe88lTdPw3XffcapeEeapHjNVy/I8xU/07NlTbr75Ztm4caNs27ZNJk2aJBEREVJaWioiIpqmSVxcnAwfPlxycnJk5cqVEhsbK5MnTzZfo7KyUmJiYuSuu+6S/Px8Wbx4sURGRsqLL75o1tm5c6dERETIww8/LJs3b5a33npLgoOD5dNPP210WysrKwWAVFZWnvJYbW2tbN68WWpra099Yt3R4zfD+GWbu+74Nrez/rq6/ss2zXV8m6u2cXWbKCkpSWJjYyUlJUU2bdok48aNk+joaDl8+LCIiHz77bcCQPr16yepqamyfft2KSsrk0WLFklISIi89dZbsmXLFnniiSckMjJSLr/8cvO1x40bJ7fddpt5PyEhQVq1aiWzZs2Sbdu2yfvvvy82m01SU1PNOi+//LKkpaXJzp075ZtvvpFLLrlEHnzwQfPxBQsWSHBwsAwZMkS+//572bJlixw9elQuvvhimTNnzi8Ru93Svn17effddxvsOwD57LPPRESkuLhYAEhubq5Xv6+++mpZvXq1bNq0SYYNGyZDhgwxnz9z5kxp0aKFJCYmSk5OjmzcuFEMw5AZM2ZI79695euvv5YdO3bIggULJDQ0VFavXm2+V3BwsDz++OOyZcsWWbhwoXTq1EkAyJEjR+pt62k/Y0RE57nTfYeezC8GMYcOHRIAkpGRYW6rqqoSALJq1SoREUlJSRG73S779u0z6yxcuFBCQ0PNIN544w2JiooSp/OXAUFycrLExsaK8fPAYerUqdK7d2+v9584caIMGjSo0e1t9iBmZqvjt6OHftmWPuf4tqWTxTAMcbvdx9v69w7Ht5fv+qVu5uvHt316n/frvtD9+PafNv+ybd2CRvdHROTo0aMSHBwsH330kbnN5XJJbGysOSDwfJl//vnnXs8dPHiwPPDAA17brr766jMOYoYOHer1nCuvvFKmTZvWYBv/+9//Stu2bc37CxYsEACyYcMGr3ovvPCC9OnTx8zzs88+k5YtW8rRo0cbfO3GDGI8n0URkeXLlwsAcz/PnDlTgoOD5eDBg2ado0ePSlhYmGRmZnq913333Sd33323iIhMmzZN4uLivB5/4oknzttBjK7rcvjwYdFPHDBTszFP9ZipWr7IsymDGL9YTmrbti369OmDDz74AMeOHYOmafj3v/+NmJgYDBw4EACwdu1axMXFITY21nxeYmIi6urqsH79erNOQkICQkNDvers378fu3btMuuMHDnS6/0TExOxbt26Bo9jqKurQ1VVldcNOH4Mhue/J5bl5+Ug+Xk5wVP28N4Or+3Hjh07/vgJ728Yxs/bfn7Oz3U9x3+cWNdr+0nvf7ryjh074Ha7MWTIEHO7w+HAVVddhc2bN3u137NPPM8tLCzEoEGDvF5z0KBBXm0/+X0BoG/fvmZ7RQQdO3bETz/9ZNb95ptvMGLECHTq1AmRkZEYO3YsDh8+bC4piQhCQkLQr18/r9ceN24ctm/fjrVr1+LYsWN49913ceeddyIiIqKJ++bU9nr61KFDBwAwl60A4MILL0S7du3MPm3atAlOpxMjRoxAy5YtzdsHH3yAHTt2wDAMbN26FfHx8V7veeWVVzZ6/5382fOUNU3zKns+Ew2V3W63V9nz+p6yiMDtdkPTNGRlZZnLhZ7tnlxOLHumnxsq67ruVW7o78nXfTqxfK775HK5kJWVZT4vEPpk9X5yu91mpoHSJyv3k9vtRnZ2Nurq6pT2qbH8YhBjs9mwcuVK5ObmIjIyEmFhYXj55Zfx9ddfmweDHjhwADExMV7Pi46ORkhICA4cONBgHc/9M9XRNA1lZWX1ti85ORlRUVHmrUuXLgCAgoICAEBhYSEKCwsBAFu3bjU/SDU1NairqwMAHDt2DHWPFQMz9uOoEWruyOp+/w/uv+wGbn4R1dXVaNGiBex2OyrvXw99WgkQ1cU8qEri/4SKhwoho181D7YCAOPPG1DxUCHQ7hLouo7q6mqg/x+hadrxMo5/0Dxf/i6XC8eOHQNwfIBWU1NjfiA97XU6nXA6neYX8onHuHgOeD127Jh5TJLT6fylTycc11NdXd3gH0pwcPApB4153r+4uBi33HIL4uLisGjRIqxevRqvv/46AKC8vBzA8T/I8PBw2Gw2rz5FRUXhpptuwvvvv4+Kigp89dVXuPfee80+AUBtba1ZrqmpMft2Yp9qamq8/uA8P/RUXV1t9qOqqsosh4WFmX/AVVVVZr8XLVqEDRs2YP369cjIyMDmzZvxySefnJKTZz/V1tY2uJ88ZU+7Tvzs5eXloaioCACQm5uL4uJiAEBWVhZKSkoAAJmZmSgtLQUAZGRkmJ/5tLQ08xic1NRUsz0pKSlwOp3mr3babDYkJCRg5cqVZrtTU1MBABUVFUhLSwMAlJWVISMjAwBQWlqKzMxMAEBJSQmysrLMfZybmwsAKCoqQl5eniV90jQNTqcTKSkp57xP+fn56NmzJ4KDg63t048/onTRImT+XMef91NlZSVCQkIQHBzMz56CPlVWViIxMREZGRlK+9RoZ5yr8aGZM2cKfp44aOiWnZ0thmHIrbfeKjfddJOsWbNG1q9fLw8++KB06tRJ9u/fLyIiEyZMkJEjR57yHsHBwbJw4UIRERkxYoTcf//9Xo/v3btXAMjatWtFRKRXr17y3EMpwBkAABB4SURBVHPPedVZs2aNADCPvzmZ0+mUyspK81ZSUiIApLy8XESOH6+jaZqIHF9C2LRpk9TW1ophGOYyVmPKuq6Ly+USwzBE13Wv7Z56J5c9r9FQubHvf/ToUQkJCZEPP/zQ3F5XVyedOnWSOXPmiGEY5rKKp9+e53qWk058zUGDBsnll19utnfcuHFy6623mnUSEhIkKSnJq0+33XabjB07VkRE/ve//4nD4TAf03VdnnnmGa/3f/fddyUqKqrePi1fvlxatWolM2fOlEsuueSMGeDn5STDMGTnzp0CQHJycurtt67rkpOTIwBkx44dYhiGzJw5Uy6//HKvfVNZWSmhoaHy3nvvNbifpk2bJn379vVqi2c5qby8vN721tTUmJ+xEz97J5bdbrdX2fO+DZVdLpdX2fNenrJhGOJyuUTTNDlw4IC5ZOvZfuLn11N2u92nLWua5lWurx/nok8nls91n+rq6qS0tNR8DUv6NH26CCB6UJC4Q0NFpk716/3kdrtl//79ous6P3sK+uR2u+Wnn36Suro6ZX1qynKSpb8TM3nyZNx1112nrdOtWzekpaXhyy+/xJEjR8yfIH7jjTewcuVKvP/++5g+fTo6dOiAH3/80eu5R44cgdvtNmdWOnToYM64eBw8eBAAzljH4XCgbdu29bYxNDTUa4nKIygoyOu/nrLnX+wn/kRzY8u1tbWIjIyE3f7LJNqJ5fqee+LP6p9cbuz7t2jRAg8++CCmTp2Ktm3bomvXrpgzZw5qamrwpz/9qcH3BYCHH34Y48aNw5VXXomhQ4fio48+wqZNm9CjR49T2n7y69S3DQB69uwJTdMwd+5cjB49Gt9//715Fllj+veb3/wGUVFRSE5Oxt/+9rcm5VFflifWs9vt9ZZPblurVq3w+OOP47HHHgMADB06FFVVVcjMzETLli0xbtw4TJw4ES+99BKmT5+O++67Dxs2bMD7779/yms31MaTP3seJ54e3phycHBwo8qapmHTpk3mmV42m82sY7fbzf3dmHJDbT/XfTq5fC77ZLfbsXnzZrRr186aPmVnw/7888fLug67rgNz5sB+xx2wX311s/pk9X4Cjs8+XHDBBXA4HPzsnWWfNE1DQUEBrr32WvO9zrZPntnmxrB0Oaldu3bo3bv3aW9hYWHmNPmJH0LPfc9U/eDBg1FQUGBOcwHHp7RCQ0PNYzQGDx6MjIwMr9OuU1NTERsbi27dupl1PFPhJ9aJj4/32gFW8HzxWXW9j+effx5jxozBPffcgyuuuALbt2/HihUrEB0dfdrn/f73v8fTTz+NadOmYeDAgdi9ezcefPDBs2pL//798dJLL+GFF15AXFwcPvroIyQnJzf6+Xa7HePHj4eu6xg3btxZteVsPPPMM3j66aeRnJyMPn36IDExEcuWLUP37t0BAN27d8enn36KJUuWoF+/fpg3bx6eeOIJAKh34Gw1h8OB66+/nlcJVsTyPLdta9p2P2B5pgHG8jzPOFdzHjh06JC0bdtW7rjjDtmwYYNs3bpVHn/8cQkODjbPPPGcYn3DDTdITk6OrFq1Sjp37ux1inVFRYXExMTI3XffLfn5+bJkyRJp1apVvadYT5kyRTZv3izvvPPOuTvF+gw8SzieaTo6O/fdd5+MGjXK7/L8+9//Lp07d27wcavPTtq7dy/P/FDE8jx/+EHk+PkF3rcffrCmPQpYnmmA8UWeAXeKtYhIdna2jBw5Utq0aSORkZEyaNAgSUlJ8aqze/duGTVqlISHh0ubNm1k8uTJXqdTi4jk5eXJsGHDJDQ0VDp06CCzZs065Uts9erVMmDAAAkJCZFu3brJvHnzmtRWXw5iqqqq/O5L93xTUVEhK1eulPDwcPn888/P+zxff/11ycrKkh07dsgHH3wgUVFR8sQTTzRY38pBjNvtlvT0dHPtnc7OeZHn1KneA5jT/MyBPzgvMg0gvsizKYMYm4hFP/8awE53GXGn04ni4mJ0794dYWFhFrXw1+26665DVlYWJk6ciJdfftnq5pzRlClTsGjRIpSXl6Nr166455578Ne//rXB6Vt+xki5H388voR08cXAz8fCEPnK6b5DT8ZBjA/4ahAjInC5XAgJCbHsuJhAEqh5WjmIMQwDJSUl6NKlyynHsFHTMU/1mKlavsizKYMY7kE/E6gXDrQK81TLMAzs27fP60Kb1HzMUz1mqpbVefLwbD9is9nQsmVLq5sRMJineg6Hw/xVZzp7zFM9ZqqW1XlyJsYizVnFExHzV3Lp7AVqnlb2R9d1bN++3fw1Yjo7zFM9ZqqW1XlyEHOOeX5r5sSfsm8K/uGpFYh5ej5bVvyukYjgyJEjATcwtArzVI+ZqmV1njyw1wfOdFBSaWkpKioq0L59e0RERATUQaVkHRFBTU0NDh48iNatW6Njx45WN4mIqMmacmAvj4mxgOcKx55LHjSWiEDTNDgcDg58FAjUPFu3bm1+xs41XddRVFSEXr16ef2EOTUP81SPmapldZ4cxFjAZrOhY8eOaN++fZPOjtF1HVu3bsVFF13EPz4FAjHP4OBgy/vSlOue0JkxT/WYqVpW5snlJB9oylQYERER/YK/ExOgdF1HQUFBQB6MagXmqR4zVYt5qsdM1bI6Tw5iiIiIyC9xOckHuJxERETUPDw7yWKecWFVVZXS1/VM28XFxVl+8GYgYJ7qMVO1mKd6zFQtX+Tp+e5szBwLBzE+UF1dDQDo0qWLxS0hIiLyT9XV1YiKijptHS4n+YBhGNi/fz8iIyOV/v5IVVUVunTpgpKSEi5TKcA81WOmajFP9ZipWr7IU0RQXV2N2NjYM14ZmzMxPmC329G5c2efvX6rVq34x6cQ81SPmarFPNVjpmqpzvNMMzAePDuJiIiI/BIHMUREROSXgmbNmjXL6kZQ4wUFBeG6666Dw8GVQBWYp3rMVC3mqR4zVcvKPHlgLxEREfklLicRERGRX+IghoiIiPwSBzFERETklziIISIiIr/EQYyfeOONN9C9e3eEhYVh4MCB+O6776xukt9KTk7GlVdeicjISLRv3x633347tm7danWzAkZycjJsNhseeeQRq5vi1/bt24f/+7//Q9u2bREREYH+/ftj/fr1VjfLL2mahieffBLdu3dHeHg4evTogdmzZ8MwDKub5jcyMjIwevRoxMbGwmaz4fPPP/d6XEQwa9YsxMbGIjw8HNdddx02bdrk83ZxEOMHFi1ahEceeQRPPPEEcnNzMWzYMNx0003Ys2eP1U3zS+np6XjooYfwww8/YOXKldA0DSNHjsSxY8esbprfy87Oxptvvol+/fpZ3RS/duTIEVxzzTUIDg7GV199hc2bN+Of//wnWrdubXXT/NILL7yA+fPn47XXXkNhYSHmzJmDf/zjH5g7d67VTfMbx44dw+WXX47XXnut3sfnzJmDl156Ca+99hqys7PRoUMHjBgxwryWoM8InfeuuuoqeeCBB7y29e7dW6ZPn25RiwLLwYMHBYCkp6db3RS/Vl1dLb169ZKVK1dKQkKCPPzww1Y3yW9NmzZNhg4danUzAsaoUaPk3nvv9dp2xx13yP/93/9Z1CL/BkA+++wz875hGNKhQwd5/vnnzW1Op1OioqJk/vz5Pm0LZ2LOcy6XC+vXr8fIkSO9to8cORKZmZkWtSqwVFZWAgDatGljcUv820MPPYRRo0bhxhtvtLopfu+LL75AfHw8fve736F9+/YYMGAA3nrrLaub5beGDh2Kb775Btu2bQMAbNy4EWvWrMHNN99sccsCQ3FxMQ4cOOD1PRUaGoqEhASff0/x5wrPc2VlZdB1HTExMV7bY2JicODAAYtaFThEBI8++iiGDh2KuLg4q5vjtz755BOsX78e69ats7opAWHnzp2YN28eHn30UcyYMQNZWVlISkpCaGgoxo4da3Xz/M60adNQWVmJ3r17IygoCLqu49lnn8Xdd99tddMCgue7qL7vqd27d/v0vTmI8RM2m83rvoicso2abvLkycjLy8OaNWusborfKikpwcMPP4zU1FSEhYVZ3ZyAYBgG4uPj8dxzzwEABgwYgE2bNmHevHkcxDTDokWL8OGHH+Ljjz/GZZddhg0bNuCRRx5BbGwsxo0bZ3XzAoYV31McxJzn2rVrh6CgoFNmXQ4ePHjKqJea5s9//jO++OILZGRkoHPnzlY3x2+tX78eBw8exMCBA81tuq4jIyMDr732Gurq6hAUFGRhC/1Px44dcemll3pt69OnDxYvXmxRi/zbX/7yF0yfPh133XUXAKBv377YvXs3kpOTOYhRoEOHDgCOz8h07NjR3H4uvqd4TMx5LiQkBAMHDsTKlSu9tq9cuRJDhgyxqFX+TUQwefJkLFmyBGlpaejevbvVTfJrN9xwA/Lz87FhwwbzFh8fjz/+8Y/YsGEDBzDNcM0115xy2v+2bdtw4YUXWtQi/1ZTUwO73fvrLigoiKdYK9K9e3d06NDB63vK5XIhPT3d599TnInxA48++ijuuecexMfHY/DgwXjzzTexZ88ePPDAA1Y3zS899NBD+Pjjj7F06VJERkaas1xRUVEIDw+3uHX+JzIy8pTjiVq0aIG2bdvyOKNmmjJlCoYMGYLnnnsOd955J7KysvDmm2/izTfftLppfmn06NF49tln0bVrV1x22WXIzc3FSy+9hHvvvdfqpvmNo0ePYvv27eb94uJibNiwAW3atEHXrl3xyCOP4LnnnkOvXr3Qq1cvPPfcc4iIiMAf/vAH3zbMp+c+kTKvv/66XHjhhRISEiJXXHEFTwc+CwDqvS1YsMDqpgUMnmJ99pYtWyZxcXESGhoqvXv3ljfffNPqJvmtqqoqefjhh6Vr164SFhYmPXr0kCeeeELq6uqsbprf+Pbbb+v9/+a4ceNE5Php1jNnzpQOHTpIaGioXHvttZKfn+/zdtlERHw7TCIiIiJSj8fEEBERkV/iIIaIiIj8EgcxRERE5Jc4iCEiIiK/xEEMERER+SUOYoiIiMgvcRBDREREfomDGCIiIvJLHMQQ0a+CrusYMmQIxowZ47W9srISXbp0wZNPPmlRy4ioufiLvUT0q1FUVIT+/fvjzTffxB//+EcAwNixY7Fx40ZkZ2cjJCTE4hYSUVNwEENEvyqvvvoqZs2ahYKCAmRnZ+N3v/sdsrKy0L9/f6ubRkRNxEEMEf2qiAiuv/56BAUFIT8/H3/+85+5lETkpziIIaJfnS1btqBPnz7o27cvcnJy4HA4rG4SETUDD+wlol+dd999FxERESguLsbevXutbg4RNRNnYojoV2Xt2rW49tpr8dVXX2HOnDnQdR2rVq2CzWazumlE1ESciSGiX43a2lqMGzcOEydOxI033oi3334b2dnZ+Pe//21104ioGTiIIaJfjenTp8MwDLzwwgsAgK5du+Kf//wn/vKXv2DXrl3WNo6ImozLSUT0q5Ceno4bbrgBq1evxtChQ70eS0xMhKZpXFYi8jMcxBAREZFf4nISERER+SUOYoiIiMgvcRBDREREfomDGCIiIvJLHMQQERGRX+IghoiIiPwSBzFERETklziIISIiIr/EQQwRERH5JQ5iiIiIyC9xEENERER+iYMYIiIi8kv/H+l6V2AGiYdJAAAAAElFTkSuQmCC",
"text/plain": "Figure(PyObject <Figure size 600x480 with 1 Axes>)"
},
"metadata": {},
"output_type": "display_data"
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "srand(4)\n\nn = 16\na0 = [5.0, 10.0]\nrho0 = 0.5\nnu0 = 0.5\nXmin = 0.0\nXmax = 10.0\nX = rand(Uniform(Xmin,Xmax),n)\nXX = hcatones(X)\nY = XX * a0 + rand_t(rho0,nu0,n)\n\nprintln(\"x[1] == 1\\n\")\n\nrho, nu, a, aic_t = reg_t(XX,Y,init=[1.0,0.1,0,0])\nshow_t(rho, nu, a, aic_t)\nshow_residualerror(a, XX, Y)\nprintln()\n\nsigma, b, aic_n = reg_normal(XX,Y)\nshow_normal(sigma, b, aic_n)\nshow_residualerror(b, XX, Y)\n\nsleep(0.2)\n\nfigure(figsize=(6,4.8))\nscatter(X, Y, s=10, color=\"red\")\nxs = [Xmin, Xmax]\nplot(xs, a[1] .+ a[2]*xs, label=\"t-dist linreg\", ls=\"--\")\nplot(xs, b[1] .+ b[2]*xs, label=\"ordinary linreg\", ls=\":\")\nxlabel(\"X\")\nylabel(\"Y\")\ngrid(\"on\", ls=\":\")\nlegend()\ntitle(\"linear regressions\");",
"execution_count": 9,
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": "x[1] == 1\n\nAIC= 1.16e+02, y - (7.3e+00 x[1] + 9.6e+00 x[2]) ~ 3.5e-01 TDist(3.7e-01)\nsum of squares of residual errors = 1.21e+05 -> sqrt = 3.48e+02; mean = 1.63e+01, std = 8.83e+01\n\nAIC= 1.93e+02, y - (-4.7e+01 x[1] + 2.1e+01 x[2]) ~ 8.3e+01 Normal(0,1)\nsum of squares of residual errors = 1.09e+05 -> sqrt = 3.31e+02; mean = -1.81e-03, std = 8.54e+01\n"
},
{
"data": {
"image/png": 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",
"text/plain": "Figure(PyObject <Figure size 600x480 with 1 Axes>)"
},
"metadata": {},
"output_type": "display_data"
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "t分布線形回帰では外れ値の処理がかなりうまく行っているように見える。"
},
{
"metadata": {},
"cell_type": "markdown",
"source": "## ベルギー(1950-1973)の電話回数の記録\n\nMASS package source for R can be downloaded from\n\n* https://cran.r-project.org/web/packages/MASS/index.html\n\nSee also\n\n* https://stat.ethz.ch/R-manual/R-devel/library/MASS/html/phones.html\n\nCompare the following results and those of\n\n* http://cl-www.msi.co.jp/reports/robust.html\n* https://www.slideshare.net/sfchaos/r-7773031\n\n1950年から1973年までのベルギーでの電話回数の記録(単位100万件)のデータの1964年から1969年までのデータは外れ値になってしまっている。その外れ値をt分布線形回帰がうまく処理できるかどうかを試してみよう。"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "using RData\ndata = load(\"MASS/data/phones.rda\")\n@show X = data[\"phones\"][\"year\"]\nXmin = minimum(X)\nXmax = maximum(X)\nXX = hcatones(X)\n@show Y = data[\"phones\"][\"calls\"]\nprintln()\n\nprintln(\"x[1] == 1\\n\")\n\nrho, nu, a, aic_t = reg_t(XX,Y)\nshow_t(rho, nu, a, aic_t)\nshow_residualerror(a, XX, Y)\nprintln()\n\nsigma, b, aic_n = reg_normal(XX,Y)\nshow_normal(sigma, b, aic_n)\nshow_residualerror(b, XX, Y)\nprintln()\n\nrho2, nu2, c, aic_t_sd2hp = reg_t(XX, Y, errorfunc = sd2hp)\nshow_t_sd2hp(rho2, nu2, c, aic_t_sd2hp)\nshow_residualerror(c, XX, Y)\nprintln()\n\nsigma2, d, aic_n_sd2hp = reg_normal(XX, Y, errorfunc = sd2hp)\nshow_normal_sd2hp(sigma2, d, aic_n_sd2hp)\nshow_residualerror(d, XX, Y)\nprintln()\n\nsleep(0.2)\n\nfigure(figsize=(6,4.8))\nscatter(X, Y, s=10, color=\"red\")\nxs = [Xmin, Xmax]\nplot(xs, a[1].+a[2]*xs, label=\"t-dist linreg\", ls=\"--\")\nplot(xs, b[1].+b[2]*xs, label=\"ordinary linreg\", ls=\":\")\nplot(xs, -1/c[1].-c[2]/c[1]*xs, label=\"t-dist linreg sd2hp\", ls=\"-.\")\nplot(xs, -1/d[1].-d[2]/d[1]*xs, label=\"ordinary linreg sd2hp\", ls=(0,(2,1)))\nxlabel(\"year\")\nylabel(\"calls\")\ngrid(\"on\", ls=\":\")\nlegend()\ntitle(\"Belgium Phone Calls 1950-1973\");",
"execution_count": 10,
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": "X = (data[\"phones\"])[\"year\"] = [50.0, 51.0, 52.0, 53.0, 54.0, 55.0, 56.0, 57.0, 58.0, 59.0, 60.0, 61.0, 62.0, 63.0, 64.0, 65.0, 66.0, 67.0, 68.0, 69.0, 70.0, 71.0, 72.0, 73.0]\nY = (data[\"phones\"])[\"calls\"] = [4.4, 4.7, 4.7, 5.9, 6.6, 7.3, 8.1, 8.8, 10.6, 12.0, 13.5, 14.9, 16.1, 21.2, 119.0, 124.0, 142.0, 159.0, 182.0, 212.0, 43.0, 24.0, 27.0, 29.0]\n\nx[1] == 1\n\nAIC= 1.94e+02, y - (-5.4e+01 x[1] + 1.1e+00 x[2]) ~ 5.2e-01 TDist(3.6e-01)\nsum of squares of residual errors = 1.16e+05 -> sqrt = 3.41e+02; mean = 3.48e+01, std = 6.16e+01\n\nAIC= 2.65e+02, y - (-2.6e+02 x[1] + 5.0e+00 x[2]) ~ 5.4e+01 Normal(0,1)\nsum of squares of residual errors = 6.95e+04 -> sqrt = 2.64e+02; mean = 9.20e-05, std = 5.50e+01\n\nAIC= 1.60e+02, [y - (-9.1e+02 x[1] + 1.6e+01 x[2])]/1.6e+01 ~ 3.5e+00 TDist(2.2e+00)\nsum of squares of residual errors = 1.62e+05 -> sqrt = 4.02e+02; mean = 5.11e+01, std = 6.56e+01\n\nAIC= 2.52e+02, [y - (2.0e-07 x[1] + 1.5e+00 x[2])]/-1.8e+00 ~ 4.0e+01 Normal(0,1)\nsum of squares of residual errors = 5.37e+18 -> sqrt = 2.32e+09; mean = -4.70e+08, std = 5.46e+07\n\n"
},
{
"data": {
"image/png": 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",
"text/plain": "Figure(PyObject <Figure size 600x480 with 1 Axes>)"
},
"metadata": {},
"output_type": "display_data"
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "t分布線形回帰は外れ値を見事に処理しているように見える。\n\nt分布回帰の通常残差版とsd2hp版はほぼ重なっている。"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "using RData\ndata = load(\"MASS/data/phones.rda\")\n@show X = data[\"phones\"][\"year\"]\nXmin = minimum(X)\nXmax = maximum(X)\nXX = hcatones(X)\n@show Y = data[\"phones\"][\"calls\"]\nprintln()\n\nprintln(\"x[1] == 1\\n\")\n\nrho, nu, a, aic_t = reg_t(XX,Y)\nshow_t(rho, nu, a, aic_t)\nshow_residualerror(a, XX, Y)\nprintln()\n\nsigma, b, aic_n = reg_normal(XX,Y)\nshow_normal(sigma, b, aic_n)\nshow_residualerror(b, XX, Y)\nprintln()\n\n#rho2, nu2, c, aic_t_sd2hp = reg_t(XX, Y, errorfunc = sd2hp, init = [rho; nu; a2p(a)])\nrho2, nu2, c, aic_t_sd2hp = reg_t(XX, Y, errorfunc = sd2hp, init = [3.5; 2.2; a2p([-910.0,16.0])])\nshow_t_sd2hp(rho2, nu2, c, aic_t_sd2hp)\nshow_residualerror(c, XX, Y)\nprintln()\n\n#sigma2, d, aic_n_sd2hp = reg_normal(XX, Y, errorfunc = sd2hp)\nsigma2, d, aic_n_sd2hp = reg_normal(XX, Y, errorfunc = sd2hp, init = [5.8; a2p([-910.0,16.0])])\nshow_normal_sd2hp(sigma2, d, aic_n_sd2hp)\nshow_residualerror(d, XX, Y)\nprintln()\n\nsleep(0.2)\n\nfigure(figsize=(6,4.8))\nscatter(X, Y, s=10, color=\"red\")\nxs = [Xmin, Xmax]\nplot(xs, a[1].+a[2]*xs, label=\"t-dist linreg\", ls=\"--\")\nplot(xs, b[1].+b[2]*xs, label=\"ordinary linreg\", ls=\":\")\nplot(xs, -1/c[1].-c[2]/c[1]*xs, label=\"t-dist sd2hp\", ls=\"-.\")\nplot(xs, -1/d[1].-d[2]/d[1]*xs, label=\"Gaussian sd2hp\", ls=(0,(2,1)))\nxlabel(\"year\")\nylabel(\"calls\")\ngrid(\"on\", ls=\":\")\nlegend()\ntitle(\"Belgium Phone Calls 1950-1973\");",
"execution_count": 11,
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": "X = (data[\"phones\"])[\"year\"] = [50.0, 51.0, 52.0, 53.0, 54.0, 55.0, 56.0, 57.0, 58.0, 59.0, 60.0, 61.0, 62.0, 63.0, 64.0, 65.0, 66.0, 67.0, 68.0, 69.0, 70.0, 71.0, 72.0, 73.0]\nY = (data[\"phones\"])[\"calls\"] = [4.4, 4.7, 4.7, 5.9, 6.6, 7.3, 8.1, 8.8, 10.6, 12.0, 13.5, 14.9, 16.1, 21.2, 119.0, 124.0, 142.0, 159.0, 182.0, 212.0, 43.0, 24.0, 27.0, 29.0]\n\nx[1] == 1\n\nAIC= 1.94e+02, y - (-5.4e+01 x[1] + 1.1e+00 x[2]) ~ 5.2e-01 TDist(3.6e-01)\nsum of squares of residual errors = 1.16e+05 -> sqrt = 3.41e+02; mean = 3.48e+01, std = 6.16e+01\n\nAIC= 2.65e+02, y - (-2.6e+02 x[1] + 5.0e+00 x[2]) ~ 5.4e+01 Normal(0,1)\nsum of squares of residual errors = 6.95e+04 -> sqrt = 2.64e+02; mean = 9.20e-05, std = 5.50e+01\n\nAIC= 1.60e+02, [y - (-9.1e+02 x[1] + 1.6e+01 x[2])]/1.6e+01 ~ 3.5e+00 TDist(2.2e+00)\nsum of squares of residual errors = 1.62e+05 -> sqrt = 4.02e+02; mean = 5.11e+01, std = 6.56e+01\n\nAIC= 1.58e+02, [y - (-9.9e+02 x[1] + 1.7e+01 x[2])]/1.7e+01 ~ 5.8e+00 Normal(0,1)\nsum of squares of residual errors = 1.61e+05 -> sqrt = 4.02e+02; mean = 5.10e+01, std = 6.56e+01\n\n"
},
{
"data": {
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",
"text/plain": "Figure(PyObject <Figure size 600x480 with 1 Axes>)"
},
"metadata": {},
"output_type": "display_data"
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "**注意:** sd2hp による線引きは初期条件によって大幅に変化するので注意せよ。"
},
{
"metadata": {},
"cell_type": "markdown",
"source": "## 動物の体と脳の重さ\n\nrobustbase package for R can be downloaded from\n\n* https://cran.r-project.org/web/packages/robustbase/index.html\n\nSee also\n\n* https://vincentarelbundock.github.io/Rdatasets/doc/robustbase/Animals2.html\n\nCompare the following results and those of\n\n* https://www.slideshare.net/sfchaos/r-7773031"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "using RData\ndata = load(\"robustbase/data/Animals2.rda\")\n@show X = data[\"Animals2\"][!, :body]\nXmin = 0.95*minimum(X)\nXmax = 1.05*maximum(X)\nXX = hcatones(X)\n@show Y = data[\"Animals2\"][!, :brain]\nprintln()\n\nprintln(\"x[1] == 1\\n\")\n\nrho, nu, a, aic_t = reg_t(XX,Y)\nshow_t(rho, nu, a, aic_t)\nshow_residualerror(a, XX, Y)\nprintln()\n\nsigma, b, aic_n = reg_normal(XX,Y)\nshow_normal(sigma, b, aic_n)\nshow_residualerror(b, XX, Y)\nprintln()\n\nrho2, nu2, c, aic_t_sd2hp = reg_t(XX, Y, errorfunc = sd2hp)\n#rho2, nu2, c, aic_t_sd2hp = reg_t(XX, Y, errorfunc = sd2hp, init=[2.54, 0.373, -0.274, 0.351])\nshow_t_sd2hp(rho2, nu2, c, aic_t_sd2hp)\nshow_residualerror(c, XX, Y)\nprintln()\n\n#sigma2, d, aic_n_sd2hp = reg_normal(XX, Y, errorfunc = sd2hp)\nsigma2, d, aic_n_sd2hp = reg_normal(XX, Y, errorfunc = sd2hp, init = [1.0, 0.0, 1.0])\nshow_normal_sd2hp(sigma2, d, aic_n_sd2hp)\nshow_residualerror(d, XX, Y)\nprintln()\n\nrho3, nu3, g, aic_t_sd2hp_XxY = reg_t(hcatones(Y), X)\nh = [-g[1]/g[2], 1/g[2]]\n@printf(\"AIC=%9.2e, y - (%0.1e x[1] + %0.1e x[2]) ~ epsilon\\n\", aic_t_sd2hp_XxY, h[1], h[2])\nshow_residualerror(h, XX, Y)\nprintln()\n\nsleep(0.2)\n\nfigure(figsize=(6,4.8))\nscatter(X, Y, s=15, color=\"red\")\nxs = [Xmin, Xmax]\nplot(xs, a[1].+a[2]*xs, label=\"t-dist linreg\", ls=\"--\")\nplot(xs, b[1].+b[2]*xs, label=\"ordinary linreg\", ls=\":\")\nplot(xs, -1/c[1].-c[2]/c[1]*xs, label=\"t-dist sd2hp\", ls=\"-.\")\nplot(xs, -1/d[1].-d[2]/d[1]*xs, label=\"Gaussian sd2hp\", ls=(0,(2,1)))\nplot(xs, h[1].+h[2]*xs, label=\"t-dist linreg X<-->Y\", ls=(0,(1,1)))\nylim(-100,6000)\nxlabel(\"body [kg]\")\nylabel(\"brain [g]\")\ngrid(\"on\", ls=\":\")\nlegend()\ntitle(\"Brain and Body Weights for 65 Species of Land Animals\");",
"execution_count": 12,
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": "X = (data[\"Animals2\"])[!, :body] = [0.005, 0.01, 0.023, 0.023, 0.048, 0.06, 0.075, 0.101, 0.104, 0.12, 0.122, 0.2, 0.28, 0.425, 0.48, 0.55, 0.75, 0.785, 0.9, 0.92, 1.0, 1.04, 1.35, 1.4, 1.41, 1.62, 1.7, 2.0, 2.5, 3.0, 3.3, 3.385, 3.5, 3.5, 3.6, 4.05, 4.19, 4.235, 4.288, 6.8, 10.0, 10.55, 14.83, 27.66, 35.0, 36.33, 52.16, 55.5, 60.0, 62.0, 85.0, 100.0, 160.0, 187.1, 192.0, 207.0, 250.0, 465.0, 521.0, 529.0, 2547.0, 6654.0, 9400.0, 11700.0, 87000.0]\nY = (data[\"Animals2\"])[!, :brain] = [0.14, 0.25, 0.3, 0.4, 0.33, 1.0, 1.2, 4.0, 2.5, 1.0, 3.0, 5.0, 1.9, 6.4, 15.5, 2.4, 12.3, 3.5, 2.6, 5.7, 6.6, 5.5, 8.1, 12.5, 17.5, 11.4, 6.3, 12.3, 12.1, 25.0, 25.6, 44.5, 3.9, 10.8, 21.0, 17.0, 58.0, 50.4, 39.2, 179.0, 115.0, 179.5, 98.2, 115.0, 56.0, 119.5, 440.0, 175.0, 81.0, 1320.0, 325.0, 157.0, 169.0, 419.0, 180.0, 406.0, 490.0, 423.0, 655.0, 680.0, 4603.0, 5712.0, 70.0, 50.0, 154.5]\n\nx[1] == 1\n\nAIC= 7.94e+02, y - (4.7e+00 x[1] + 3.9e-03 x[2]) ~ 5.7e+00 TDist(3.9e-01)\nsum of squares of residual errors = 5.72e+07 -> sqrt = 7.57e+03; mean = 2.62e+02, std = 9.08e+02\n\nAIC= 1.07e+03, y - (2.7e+02 x[1] + 4.3e-03 x[2]) ~ 9.0e+02 Normal(0,1)\nsum of squares of residual errors = 5.28e+07 -> sqrt = 7.26e+03; mean = -6.98e-03, std = 9.08e+02\n\nAIC= 6.72e+02, [y - (2.8e+00 x[1] + 1.9e+00 x[2])]/-2.2e+00 ~ 1.5e+00 TDist(3.4e-01)\nsum of squares of residual errors = 3.90e+09 -> sqrt = 6.24e+04; mean = -1.04e+03, std = 7.73e+03\n\nAIC= 1.08e+03, [y - (-5.9e-02 x[1] + 8.5e-03 x[2])]/1.0e+00 ~ 9.4e+02 Normal(0,1)\nsum of squares of residual errors = 2.39e+08 -> sqrt = 1.55e+04; mean = 5.24e+02, std = 1.86e+03\n\nAIC= 5.96e+02, y - (1.4e-01 x[1] + 1.2e+01 x[2]) ~ epsilon\nsum of squares of residual errors = 1.04e+12 -> sqrt = 1.02e+06; mean = -2.11e+04, std = 1.26e+05\n\n"
},
{
"data": {
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",
"text/plain": "Figure(PyObject <Figure size 600x480 with 1 Axes>)"
},
"metadata": {},
"output_type": "display_data"
}
]
},
{
"metadata": {
"collapsed": true
},
"cell_type": "markdown",
"source": "超平面への符号付き距離が rho * TDsit(nu) に従うモデルで、引きたかった直線は縦に立っている直線達。\n\n**注意:** sd2hpによる直線引きは初期条件によって大幅に変化するので注意せよ!"
},
{
"metadata": {
"scrolled": false,
"trusted": true
},
"cell_type": "code",
"source": "using RData\ndata = load(\"robustbase/data/Animals2.rda\")\n@show X = data[\"Animals2\"][!, :body]\nXmin = 0.95*minimum(X)\nXmax = 1.05*maximum(X)\nXX = hcatones(X)\n@show Y = data[\"Animals2\"][!, :brain]\nprintln()\n\nprintln(\"x[1] == 1\")\n\n# rho, nu, a, aic_t = reg_t(XX,Y)\n# show_t(rho, nu, a, aic_t)\n\n# sigma, b, aic_n = reg_normal(XX,Y)\n# show_normal(sigma, b, aic_n)\n\nrho2, nu2, c, aic_t_sd2hp = reg_t(XX, Y, errorfunc = sd2hp)\nshow_t_sd2hp(rho2, nu2, c, aic_t_sd2hp)\n\nrho2, nu2, c1, aic_t_sd2hp = reg_t(XX, Y, errorfunc = sd2hp, init=[2.54, 0.373, -0.274, 0.351])\nshow_t_sd2hp(rho2, nu2, c1, aic_t_sd2hp)\n\nrho2, nu2, c2, aic_t_sd2hp = reg_t(XX, Y, errorfunc = sd2hp, init=[1.0; 1.0; a2p([1.0, 0.0])])\nshow_t_sd2hp(rho2, nu2, c2, aic_t_sd2hp)\n\n#sigma2, d, aic_n_sd2hp = reg_normal(XX, Y, errorfunc = sd2hp)\n# sigma2, d, aic_n_sd2hp = reg_normal(XX, Y, errorfunc = sd2hp, init = [1.0, 0.0, 1.0])\n# show_normal_sd2hp(sigma2, d, aic_n_sd2hp)\n\n# rho3, nu3, g, aic_t_sd2hp_XxY = reg_t(hcatones(Y), X)\n# h = [-g[1]/g[2], 1/g[2]]\n# @printf(\"AIC=%9.2e, y - (%0.1e x[1] + %0.1e x[2]) ~ epsilon\\n\", aic_t_sd2hp_XxY, h[1], h[2])\n\nsleep(0.2)\n\nfigure(figsize=(6,4.8))\nscatter(X, Y, s=15, color=\"red\")\nxs = [Xmin, Xmax]\n# plot(xs, a[1].+a[2]*xs, label=\"t-dist linreg\", ls=\"--\")\n# plot(xs, b[1].+b[2]*xs, label=\"ordinary linreg\", ls=\":\")\nplot(xs, -1/c[1].-c[2]/c[1]*xs, label=\"t-dist sd2hp\", ls=\"-.\")\nplot(xs, -1/c1[1].-c1[2]/c[1]*xs, label=\"t-dist sd2hp\", ls=\"-.\")\nplot(xs, -1/c2[1].-c2[2]/c[1]*xs, label=\"t-dist sd2hp\", ls=\"-.\")\n# plot(xs, -1/c3[1].-c3[2]/c[1]*xs, label=\"t-dist sd2hp\", ls=\"-.\")\n# plot(xs, -1/c4[1].-c4[2]/c[1]*xs, label=\"t-dist sd2hp\", ls=\"-.\")\n# plot(xs, -1/d[1].-d[2]/d[1]*xs, label=\"Gaussian sd2hp\", ls=(0,(2,1)))\n# plot(xs, h[1].+h[2]*xs, label=\"t-dist linreg X<-->Y\", ls=(0,(1,1)))\nylim(-100,6000)\nxlabel(\"body [kg]\")\nylabel(\"brain [g]\")\ngrid(\"on\", ls=\":\")\nlegend()\ntitle(\"Brain and Body Weights for 65 Species of Land Animals\");\n\nfigure(figsize=(6,4.8))\nscatter(X, Y, s=15, color=\"red\")\nxs = [Xmin, Xmax]\n# plot(xs, a[1].+a[2]*xs, label=\"t-dist linreg\", ls=\"--\")\n# plot(xs, b[1].+b[2]*xs, label=\"ordinary linreg\", ls=\":\")\nplot(xs, -1/c[1].-c[2]/c[1]*xs, label=\"t-dist sd2hp\", ls=\"-.\")\nplot(xs, -1/c1[1].-c1[2]/c[1]*xs, label=\"t-dist sd2hp\", ls=\"-.\")\nplot(xs, -1/c2[1].-c2[2]/c[1]*xs, label=\"t-dist sd2hp\", ls=\"-.\")\n# plot(xs, -1/c3[1].-c3[2]/c[1]*xs, label=\"t-dist sd2hp\", ls=\"-.\")\n# plot(xs, -1/c4[1].-c4[2]/c[1]*xs, label=\"t-dist sd2hp\", ls=\"-.\")\n# plot(xs, -1/d[1].-d[2]/d[1]*xs, label=\"Gaussian sd2hp\", ls=(0,(2,1)))\n# plot(xs, h[1].+h[2]*xs, label=\"t-dist linreg X<-->Y\", ls=(0,(1,1)))\nxlim(-1,20)\nylim(-1,20)\nxlabel(\"body\")\nylabel(\"brain\")\ngrid(\"on\", ls=\":\")\nlegend()\ntitle(\"Brain and Body Weights for 65 Species of Land Animals\");",
"execution_count": 13,
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": "X = (data[\"Animals2\"])[!, :body] = [0.005, 0.01, 0.023, 0.023, 0.048, 0.06, 0.075, 0.101, 0.104, 0.12, 0.122, 0.2, 0.28, 0.425, 0.48, 0.55, 0.75, 0.785, 0.9, 0.92, 1.0, 1.04, 1.35, 1.4, 1.41, 1.62, 1.7, 2.0, 2.5, 3.0, 3.3, 3.385, 3.5, 3.5, 3.6, 4.05, 4.19, 4.235, 4.288, 6.8, 10.0, 10.55, 14.83, 27.66, 35.0, 36.33, 52.16, 55.5, 60.0, 62.0, 85.0, 100.0, 160.0, 187.1, 192.0, 207.0, 250.0, 465.0, 521.0, 529.0, 2547.0, 6654.0, 9400.0, 11700.0, 87000.0]\nY = (data[\"Animals2\"])[!, :brain] = [0.14, 0.25, 0.3, 0.4, 0.33, 1.0, 1.2, 4.0, 2.5, 1.0, 3.0, 5.0, 1.9, 6.4, 15.5, 2.4, 12.3, 3.5, 2.6, 5.7, 6.6, 5.5, 8.1, 12.5, 17.5, 11.4, 6.3, 12.3, 12.1, 25.0, 25.6, 44.5, 3.9, 10.8, 21.0, 17.0, 58.0, 50.4, 39.2, 179.0, 115.0, 179.5, 98.2, 115.0, 56.0, 119.5, 440.0, 175.0, 81.0, 1320.0, 325.0, 157.0, 169.0, 419.0, 180.0, 406.0, 490.0, 423.0, 655.0, 680.0, 4603.0, 5712.0, 70.0, 50.0, 154.5]\n\nx[1] == 1\nAIC= 6.72e+02, [y - (2.8e+00 x[1] + 1.9e+00 x[2])]/-2.2e+00 ~ 1.5e+00 TDist(3.4e-01)\nAIC= 6.30e+02, [y - (1.1e+00 x[1] + 3.8e+00 x[2])]/-3.9e+00 ~ 5.1e-01 TDist(2.8e-01)\nAIC= 7.97e+02, [y - (4.6e+00 x[1] + 6.9e-03 x[2])]/-1.0e+00 ~ 5.6e+00 TDist(3.8e-01)\n"
},
{
"data": {
"image/png": 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",
"text/plain": "Figure(PyObject <Figure size 600x480 with 1 Axes>)"
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": "Figure(PyObject <Figure size 600x480 with 1 Axes>)"
},
"metadata": {},
"output_type": "display_data"
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "オレンジ色の線のAICが一番低い"
},
{
"metadata": {},
"cell_type": "markdown",
"source": "注意: sd2hpによる直線引きは初期条件によって大幅に変化するので注意せよ!"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "using RData\ndata = load(\"robustbase/data/Animals2.rda\")\n@show X = data[\"Animals2\"][!, :body]\nXmin = 0.95*minimum(X)\nXmax = 1.05*maximum(X)\nXX = hcatones(X)\n@show Y = data[\"Animals2\"][!, :brain]\nprintln()\n\nprintln(\"x[1] == 1\\n\")\n\n# rho, nu, a, aic_t = reg_t(XX,Y)\n# show_t(rho, nu, a, aic_t)\n#show_residualerror(a, XX, Y)\n#println()\n\n# sigma, b, aic_n = reg_normal(XX,Y)\n# show_normal(sigma, b, aic_n)\n#show_residualerror(b, XX, Y)\n#println()\n\nrho2, nu2, c, aic_t_sd2hp = reg_t(XX, Y, errorfunc = sd2hp)\nshow_t_sd2hp(rho2, nu2, c, aic_t_sd2hp)\nshow_residualerror(c, XX, Y)\nprintln()\n\nrho2, nu2, c1, aic_t_sd2hp = reg_t(XX, Y, errorfunc = sd2hp, init=[2.54, 0.373, -0.274, 0.351])\nshow_t_sd2hp(rho2, nu2, c1, aic_t_sd2hp)\nshow_residualerror(c1, XX, Y)\nprintln()\n\nrho2, nu2, c2, aic_t_sd2hp = reg_t(XX, Y, errorfunc = sd2hp, init=[1.0; 1.0; a2p([1.0, 0.0])])\nshow_t_sd2hp(rho2, nu2, c2, aic_t_sd2hp)\nshow_residualerror(c2, XX, Y)\nprintln()\n\n#sigma2, d, aic_n_sd2hp = reg_normal(XX, Y, errorfunc = sd2hp)\n# sigma2, d, aic_n_sd2hp = reg_normal(XX, Y, errorfunc = sd2hp, init = [1.0, 0.0, 1.0])\n# show_normal_sd2hp(sigma2, d, aic_n_sd2hp)\n#show_residualerror(d, XX, Y)\n#println()\n\n# rho3, nu3, g, aic_t_sd2hp_XxY = reg_t(hcatones(Y), X)\n# h = [-g[1]/g[2], 1/g[2]]\n# @printf(\"AIC=%9.2e, y - (%0.1e x[1] + %0.1e x[2]) ~ epsilon\\n\", aic_t_sd2hp_XxY, h[1], h[2])\n#show_residualerror(h, XX, Y)\n#println()\n\nsleep(0.2)\n\nfigure(figsize=(6,4.8))\nscatter(X, Y, s=15, color=\"red\")\nxs = collect(logspace(log(10,Xmin), log(10,Xmax), 100))\n# plot(xs, a[1].+a[2]*xs, label=\"t-dist linreg\", ls=\"--\")\n# plot(xs, b[1].+b[2]*xs, label=\"ordinary linreg\", ls=\":\")\nplot(xs, -1/c[1].-c[2]/c[1]*xs, label=\"t-dist sd2hp\", ls=\"-.\")\nplot(xs, -1/c1[1].-c1[2]/c[1]*xs, label=\"t-dist sd2hp\", ls=\"-.\")\nplot(xs, -1/c2[1].-c2[2]/c[1]*xs, label=\"t-dist sd2hp\", ls=\"-.\")\n# plot(xs, -1/c3[1].-c3[2]/c[1]*xs, label=\"t-dist sd2hp\", ls=\"-.\")\n# plot(xs, -1/c4[1].-c4[2]/c[1]*xs, label=\"t-dist sd2hp\", ls=\"-.\")\n# plot(xs, -1/d[1].-d[2]/d[1]*xs, label=\"Gaussian sd2hp\", ls=(0,(2,1)))\n# plot(xs, h[1].+h[2]*xs, label=\"t-dist linreg X<-->Y\", ls=(0,(1,1)))\nylim(0.1,10000)\nxlabel(\"body [kg]\")\nylabel(\"brain [g]\")\nxscale(\"log\")\nyscale(\"log\")\ngrid(\"on\", ls=\":\")\nlegend()\ntitle(\"Brain and Body Weights for 65 Species of Land Animals\");",
"execution_count": 14,
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": "X = (data[\"Animals2\"])[!, :body] = [0.005, 0.01, 0.023, 0.023, 0.048, 0.06, 0.075, 0.101, 0.104, 0.12, 0.122, 0.2, 0.28, 0.425, 0.48, 0.55, 0.75, 0.785, 0.9, 0.92, 1.0, 1.04, 1.35, 1.4, 1.41, 1.62, 1.7, 2.0, 2.5, 3.0, 3.3, 3.385, 3.5, 3.5, 3.6, 4.05, 4.19, 4.235, 4.288, 6.8, 10.0, 10.55, 14.83, 27.66, 35.0, 36.33, 52.16, 55.5, 60.0, 62.0, 85.0, 100.0, 160.0, 187.1, 192.0, 207.0, 250.0, 465.0, 521.0, 529.0, 2547.0, 6654.0, 9400.0, 11700.0, 87000.0]\nY = (data[\"Animals2\"])[!, :brain] = [0.14, 0.25, 0.3, 0.4, 0.33, 1.0, 1.2, 4.0, 2.5, 1.0, 3.0, 5.0, 1.9, 6.4, 15.5, 2.4, 12.3, 3.5, 2.6, 5.7, 6.6, 5.5, 8.1, 12.5, 17.5, 11.4, 6.3, 12.3, 12.1, 25.0, 25.6, 44.5, 3.9, 10.8, 21.0, 17.0, 58.0, 50.4, 39.2, 179.0, 115.0, 179.5, 98.2, 115.0, 56.0, 119.5, 440.0, 175.0, 81.0, 1320.0, 325.0, 157.0, 169.0, 419.0, 180.0, 406.0, 490.0, 423.0, 655.0, 680.0, 4603.0, 5712.0, 70.0, 50.0, 154.5]\n\nx[1] == 1\n\nAIC= 6.72e+02, [y - (2.8e+00 x[1] + 1.9e+00 x[2])]/-2.2e+00 ~ 1.5e+00 TDist(3.4e-01)\nsum of squares of residual errors = 3.90e+09 -> sqrt = 6.24e+04; mean = -1.04e+03, std = 7.73e+03\n\nAIC= 6.30e+02, [y - (1.1e+00 x[1] + 3.8e+00 x[2])]/-3.9e+00 ~ 5.1e-01 TDist(2.8e-01)\nsum of squares of residual errors = 8.83e+10 -> sqrt = 2.97e+05; mean = -5.95e+03, std = 3.67e+04\n\nAIC= 7.97e+02, [y - (4.6e+00 x[1] + 6.9e-03 x[2])]/-1.0e+00 ~ 5.6e+00 TDist(3.8e-01)\nsum of squares of residual errors = 5.76e+07 -> sqrt = 7.59e+03; mean = 2.72e+02, std = 9.08e+02\n\n"
},
{
"data": {
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",
"text/plain": "Figure(PyObject <Figure size 600x480 with 1 Axes>)"
},
"metadata": {},
"output_type": "display_data"
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "あれ?対数を取ってから回帰するべきだったのではないか?"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "using RData\ndata = load(\"robustbase/data/Animals2.rda\")\n@show X = data[\"Animals2\"][!, :body]\nXmin = 0.95*minimum(X)\nXmax = 1.05*maximum(X)\nXX = hcatones(X)\n@show Y = data[\"Animals2\"][!, :brain]\nprintln()\n\nprintln(\"logarithmic linear regressions: x[1] == 1\\n\")\n\nrho, nu, a, aic_t = reg_t(hcatones(log.(X)), log.(Y))\nshow_t(rho, nu, a, aic_t)\nshow_residualerror(a, XX, Y)\nprintln()\n\nsigma, b, aic_n = reg_normal(hcatones(log.(X)), log.(Y))\nshow_normal(sigma, b, aic_n)\nshow_residualerror(b, XX, Y)\nprintln()\n\nsleep(0.2)\n\nfigure(figsize=(6,4.8))\nscatter(X, Y, s=15, color=\"red\")\nxs = collect(logspace(log(10,Xmin), log(10,Xmax), 100))\nf_t = @sprintf(\"\\$y = %.1f\\\\,x^{%.2f}\\$\", exp(a[1]), a[2])\nf_n = @sprintf(\"\\$y = %.1f\\\\,x^{%.2f}\\$\", exp(b[1]), b[2])\nplot(xs, exp(a[1]).*xs.^a[2], label=\"$f_t (t-dist)\", ls=\"--\")\nplot(xs, exp(b[1]).*xs.^b[2], label=\"$f_n (normal)\", ls=\":\")\nxlim(0.001,200000)\nylim(0.1,10000)\nxlabel(\"body [kg]\")\nylabel(\"brain [g]\")\nxscale(\"log\")\nyscale(\"log\")\ngrid(\"on\", ls=\":\")\nlegend()\ntitle(\"Brain and Body Weights for 65 Species of Land Animals\");",
"execution_count": 15,
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": "X = (data[\"Animals2\"])[!, :body] = [0.005, 0.01, 0.023, 0.023, 0.048, 0.06, 0.075, 0.101, 0.104, 0.12, 0.122, 0.2, 0.28, 0.425, 0.48, 0.55, 0.75, 0.785, 0.9, 0.92, 1.0, 1.04, 1.35, 1.4, 1.41, 1.62, 1.7, 2.0, 2.5, 3.0, 3.3, 3.385, 3.5, 3.5, 3.6, 4.05, 4.19, 4.235, 4.288, 6.8, 10.0, 10.55, 14.83, 27.66, 35.0, 36.33, 52.16, 55.5, 60.0, 62.0, 85.0, 100.0, 160.0, 187.1, 192.0, 207.0, 250.0, 465.0, 521.0, 529.0, 2547.0, 6654.0, 9400.0, 11700.0, 87000.0]\nY = (data[\"Animals2\"])[!, :brain] = [0.14, 0.25, 0.3, 0.4, 0.33, 1.0, 1.2, 4.0, 2.5, 1.0, 3.0, 5.0, 1.9, 6.4, 15.5, 2.4, 12.3, 3.5, 2.6, 5.7, 6.6, 5.5, 8.1, 12.5, 17.5, 11.4, 6.3, 12.3, 12.1, 25.0, 25.6, 44.5, 3.9, 10.8, 21.0, 17.0, 58.0, 50.4, 39.2, 179.0, 115.0, 179.5, 98.2, 115.0, 56.0, 119.5, 440.0, 175.0, 81.0, 1320.0, 325.0, 157.0, 169.0, 419.0, 180.0, 406.0, 490.0, 423.0, 655.0, 680.0, 4603.0, 5712.0, 70.0, 50.0, 154.5]\n\nlogarithmic linear regressions: x[1] == 1\n\nAIC= 1.81e+02, y - (2.1e+00 x[1] + 7.4e-01 x[2]) ~ 5.4e-01 TDist(2.1e+00)\nsum of squares of residual errors = 4.22e+09 -> sqrt = 6.49e+04; mean = -1.09e+03, std = 8.04e+03\n\nAIC= 2.09e+02, y - (2.2e+00 x[1] + 5.9e-01 x[2]) ~ 1.2e+00 Normal(0,1)\nsum of squares of residual errors = 2.73e+09 -> sqrt = 5.22e+04; mean = -8.24e+02, std = 6.47e+03\n\n"
},
{
"data": {
"image/png": 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cYcOkUim5u7tT//792bDJkycTwzBK7dm9e3eNjZE///yTANC6deuIiCg3N5eMjY2pe/fuKjX6+voqPN8uXLhAABSMQHXGiLGxMT158oQNS0pKYn8UFxQUsOF79uwhAHT48GG19Zb/MDQyMlL4AVXeGHn27BkBoBUrVlR6LiqDG6bRkk2bNuHy5cu4fPkyjhw5gtGjR+Orr77CihUrlOIOHDhQaZgBAHbv3o3AwEA0atQIAoEABgYGiIqKQlpamkZ1GDhwoMJ3Hx8fAMD9+/crTCcWi7FgwQK0bt0aQqEQAoEAQqEQt2/fVll2ZeUkJCSgqKgII0eOVIjXpUsXuLi4aKQFkHWbys9pfHw8oqKi8OLFC/To0YP1qLl58yaePHmCUaNGKXSBN2rUCO+99x4uXryIgoICvH79GpcvX8bQoUMVJkuampoqzenh8Xj4+uuvcejQIbY78u7duzh69Ci+/PLLSj1vys4bkf8NCgoCAHh6esLOzo7t1j59+jQaN24MT09PNv2hQ4cQEhICe3t7iMVi9tO3b18QEc6cOaO27DNnzuDdd99VmIfB5/Px/vvvq4zfvn17ODo6st+NjIzQqlWrSq8ZAHBzc4O5uTm+/fZbrF69WuPrVB2nTp0CACVPsS5duqBVq1Y4efKkQritrS3eeecdjfKWSqXIz8/H6tWr8cUXX6B79+5YuHAhvvjiC2zevBnp6els3Pnz52P8+PEIDg5G//79ERkZifnz5+PUqVMaecjJPY+ioqLw+eefw9jYGKtWrUL79u2xe/dupfjl75MRI0aAx+Ox18jRo0chkUjwySefKFwPRkZGCkMpaWlpuH//PsaOHQuhUKjReQGA8+fPIzc3F6NHj1bIn4jQp08fXLp0CUVFRQCAgIAAREVFYf78+bh06RJKS0srzT8vLw9XrlzB+++/rzCnh8/n4+OPP8b9+/dx584djeurLVeuXMGAAQNgbW0NPp8PAwMDhIWFQSwW4/bt2wpxHR0d0b59e/Y7wzBo06aNwv0QFxeHtm3bKs3x+uijjzSuU1RUFExMTPDBBx8AAMzMzPDee+/h9OnT+O9//6sUPzQ0VOH5pumzHQD8/PwUhg3lz5oePXrAyMhIKbxsnvn5+fj222/RokUL9p1kamqKwsLCCu93W1tbuLq6YtGiRfjtt9+QnJxc5flSnDGiJZ6envD394e/vz/69OmD1atXo1evXvjuu++Qk5OjEFfVePK+ffvw/vvvw9HREVu2bEFCQgIuX76MsLAw9kFQGdbW1grf5ZNiy49DliciIgIzZ87E4MGDcfDgQVy6dAmXL19G27ZtVaatrBz5eLe9vb1SWlVh6jA3N2fPaZcuXRAWFoZt27YhLS0Nv/76q0JZqs6pg4MDpFIpsrOzkZ2dDalUqnGdwsLCYGRkhD/++AMAEBkZCSMjI4SFhVVa7zZt2sDGxgZxcXHsfBG5MQIA77zzDk6fPo3i4mIkJCQoedFkZGQgOjoaBgYGCp+2bdsCQIWuzdnZ2WjcuLFSuKowQLktAVl7VnbNADLvkrNnz8Lb2xvTpk1D69at4ejoiLlz5yqNx2tCZW1Zfh6FunkZqpAbZ71791YIlxt4f//9d4XpP/74YwCySYeaYG9vj7CwMKxevRrXr19HXFwcBAIBJk6cqDJuWYRCISwtLVm9z58/ByCbuF7+mti7dy97Pbx48QIAtJ7EKM9/8ODBSvn/+uuvkEgkyM7OBgDs2bMHo0aNwpo1a9CpUydYW1vj008/RUZGhtr8X758CSJS264AVM6R0QXp6el455138OzZMyxbtgznz5/H5cuXsWzZMgDKz0ZN7oesrKxqPdtu3ryJ+Ph4DBgwAGKxGDk5OcjJycGwYcNARFi/fr1Smqo+2wEoTRCXG6rqwsu+bz744AOsWrUK48ePx7Fjx5CYmIjLly/DysqqwrLlxnTPnj2xcOFCtGvXDnZ2dggPD9d6bg3nTaMDfHx8cOzYMdy6dQsBAQFsuKpf1lu2bEGzZs2wc+dOheOq3A51zZYtW/DJJ59gwYIFCuGZmZmwsLDQOj/5jfPs2TOlY8+ePWMnqVUF+S8C+cQ9eVlPnz5VivvkyRPweDxYWlqCiMAwjNo6lcfc3ByjR4/GunXrMGXKFKxfvx4fffSRRueDYRgEBQXh6NGjSExMRE5OjoIxEhQUhDlz5rA9SOWNEWtrawQEBGDu3Lkq8y/bk1EeS0tL9uVSmUZd4OPjg127doGIcO3aNfz555+YM2cOTExMMGXKFK3yKtuW5R/sT548UTKotFkbxsfHh+15KQv9b2Ji2V+dqtA0njqCg4MREhKCQ4cO4eXLlwovgmfPniloKykpQXZ2Nns+5Guw7N+/X2Xby8+D3ENG2/VD5PmvXLkSHTp0qDCOra0tli1bhmXLluH+/fs4cOAAvv/+e2RmZqrtNbKysgLDMGrv0bL565ro6GgUFBQgOjpawUirztIA1tbWGj9HVCGfuLpjxw7s2LFD6fiGDRswd+7cKl9ruiIrKwtHjhzBvHnz8N1337HhhYWFrHFaEa6urqzr8s2bN7Fz5072h4qqEQN1cD0jOiA5ORkANHKjYxgGQqFQ4QH77Nkzld40uoZhGCXX4piYGDx+/LhK+ck9ObZu3aoQfuHCBY26FStCfk7layS4u7vD0dER27ZtU5jx/vr1a+zdu5f1tDAxMUFAQAD27dunYPnn5+fj4MGDKsuaOHEiMjMzMWzYMOTk5ODrr7/WuJ7du3fH69evsWTJEtjZ2SkMwwQFBSErKwvLly9n45YlNDQU//zzD1q1asX2DJX9VNQjEBQUhNjYWLx8+ZINk0gkKocHNEWTX2HyhZt+//13NGrUSGlWvibIXTnlnjpyLl68iNu3byMkJETrPOW89957AKDk0XX48GHw+Xy1L2E58jVHKnP3ff78uZLnBSAbCr1z5w4aNWqktEZQ+ftkx44dkEql7OKAffr0AZ/Px927d1VeD3J3UE9PT7i6uiIqKkqj4RM53bp1g5mZGdLS0lTm7+/vr3JY2cXFBRMnTkSPHj0qbG8zMzP4+/tj7969CveeRCLB1q1b4eLighYtWmhcX22QP0/LPt+kUinWrVtX5Ty7d++Oa9eu4d9//1UI37ZtW6VpxWIxNm3aBDc3N9bNv+wnPDwcjx49wvHjx6tcP10hN4bKvxvWrFmj8hqvCHd3d8yaNQutW7fW+tnA9YxoSUpKCts1nZWVhX379iE2NhZDhgxBs2bNKk0fGhqKffv24csvv8SwYcPw8OFD/PTTT2jSpInSuKauCQ0NxYYNG+Dh4QEfHx9cuXIFS5YsqbLPuqWlJaZMmYJ58+Zh7NixGD58OB4+fIg5c+ZoNUyTk5PDdouXlpYiLS0NCxYsgKGhIeuiyePxsHjxYowcORKhoaEYP348iouLsWTJEuTk5GDRokVsfj/99BP69OmDnj17YvLkyZBIJPj5559hYmKi8PKW4+bmhj59+uDIkSPo2rUrO0yiCXIDIzo6GsOGDVM45u3tDWtra0RHR8PR0RGtWrVSOD5v3jycPHkSXbp0wTfffAN3d3cUFhYiPT0dMTEx+PPPP9WexxkzZuDw4cMICQnB999/DyMjI0RGRrI9bFX5tSUfG1+9ejWMjIwgEonQvHlznDt3DmvXrsWgQYPQrFkzSKVS7NmzB69evULPnj21LsfLywthYWH4z3/+A0A2pJKeno6ZM2eyL76qMnbsWKxZswbjx4/H8+fP4enpiePHj+OPP/7AxIkT2R6HuLg4LF68GEOGDEHz5s1RWFiImJgYrFu3Dr169UK/fv0qLGf9+vVYv349PvzwQ3To0AGmpqZ49OgR1q5dixs3buDHH39Ucr/ctWsXeDweQkJCcP36dcyaNQvt27dnDagWLVpg9uzZmDZtGu7cuYPevXvDwsICz549Q2JiIszNzTFr1iwwDIPIyEgMGjQInTt3xqRJk9C0aVM8ePAAsbGx2Lx5s8o6m5mZ4ffff0dYWBgyMzPx3nvvwdbWFhkZGbh27Rqys7OxYsUKZGVloXfv3vjwww/h4eGBRo0a4dKlS4iNjWXnPqhj0aJF6N27N3r06IHJkydDIBAgMjISaWlp1TKUAVkv6Z49e5TCAwIC0KtXLxgYGODDDz/E5MmTUVhYiJUrVyIvL6/K5UVERGDDhg3o27cvfvrpJ9jZ2WHTpk0azXs5dOgQnj9/ju+++07lStStW7dGZGQkoqKi0KdPnyrXURdYWlqiS5cu+Pnnn2FlZQVnZ2fExcVhw4YNlS66efXqVURERGDYsGFo1aoVDAwMcOLECfz777+YOXOmdhWp9hTYtwRV3jTm5ubk6+tLS5cupaKiIjau3JtmyZIlKvNatGgRubq6kqGhIXl6etLatWtZF9myqPOmKe9eJy9v/fr1FWrIzs6mMWPGkJ2dHRkbG1PXrl3p3LlzFBQUpOD5ok05UqmUFi5cSE2bNiWhUEg+Pj508OBBpTzVUd6bhs/nk7OzMw0bNkylu9/+/fupY8eOJBKJyMTEhEJCQlj31LL89ddf5OPjQ0KhkJydnWnRokUqz7GcDRs2KHg2aIO9vb3aGeWDBw8mADRy5EiVaZ8/f07ffPMNubq6koGBAVlZWZG/vz/NmDGDnQGvypuGSOZeGhAQQEKhkOzt7Wnq1Km0YMECAkCvXr1i4zk6Oip5DBHJvApCQkIUwn799VdydXUlPp9PAGjz5s2UmppKI0aMoObNm5ORkRFZWFhQx44dadOmTZWeG1XeNEQyD4sFCxZQq1atyMDAgGxsbGjUqFH0+PFjpTq2bdu20nLKkpmZSePGjSM7OzsyMDAgd3d3+vXXXxU8ZG7cuEF9+/YlR0dHMjQ0JJFIRD4+PrRw4cIKPVTkpKSkUEREBPn5+ZGNjQ3x+XyytLSk4OBg2rZtm8pzkJycTP3796dGjRqRmZkZjRw5kjIyMpTy3rdvHwUFBZGZmRkZGhqSq6srDR8+nE6dOqUQLz4+nvr06UNmZmYkEomoZcuWCh47qlx7iWT3d9++fcnS0pKEQiE5OTlRaGgo7d27l4hknlbjx4+nNm3akJmZGRkbG5OHhwfNnTtXY7fn7t27k4mJCRkZGVHnzp2VPDeq4k2j7rN582Yikrnq+/j4kEgkIicnJ5o6dSodOnRIyfNF3TU1cuRIatGihUJYSkoKvfvuuyQSiVg34ejo6Eq9aUJDQ8nQ0JAyMzPVxhk2bBgJhUJ68eKF2vOh6t5X501T/h6Xp500aZJCuKqyHjx4QEOHDiVLS0syNTWlvn37UmpqKjk6OtKYMWPYeOW9aZ4+fUqjR48md3d3MjExIVNTU2rbti0tW7ZMwStIExgiLfthODj0ELlHzr1791R2VTcUQkJC8PTpU6SmptZ1VTj+x4wZMzB//nxkZ2dXaW4WB8fbADdMw/HWUlxcjKtXryIxMRHR0dFYunRpgzJEwsPD4efnh6ZNm+Lly5fYvHkzTp06pbCyKgcHB0dD4K0wRgoKCuDp6Ynhw4erXBac4+3k6dOn6NKlC8zMzDB+/Hh88803dV0lrRCLxZg1axaePn0KHo8HLy8vbN26Vat1EDg4ODjqA2/FMM306dNx+/ZtODs7c8YIBwcHBwdHPUPvXXtv376NGzduVDo7noODg4ODg6NuqNfGyNmzZzFgwAA4ODiAYRjs379fKc7KlSvRrFkziEQi+Pn54dy5cwrHp0yZgoULF9ZWlTk4ODg4ODi0pF4bI69fv0bbtm3VruK2c+dOhIeHY/r06fj777/RrVs39O3bl91n5MCBA3Bzc4Obm1ttVpuDg4ODg4NDCxrMnBGGYRAdHY3BgwezYR07dkT79u2xatUqNszT0xODBw/GwoUL8f3332PLli3g8/l49eoVSktLMXnyZMyaNUtlGcXFxQrLskulUrx8+RLW1tZaLUnNwcHBwcHxtkNEyM/Ph4ODQ+ULMWq1KkkdAoCio6PZ78XFxcTn82nfvn0K8SZOnEjvvPOOUvr169fT5MmTKyxDvigW9+E+3If7cB/uw3108ym/8J4qGqxrb2ZmJiQSidKmWo0bN67yZmHff/89IiIi2O+5ublwdnbGf//7X1hbW0MikQCQbYld9rCzuucAACAASURBVH+xWAyGYdj/eTweeDye2v9LS0vB5/PZ/wUCARiGYf8HZG6bZf83MDAAEbH/S6VSSCQS9n+pVAqBQKD2f4lEAiJi/5eTnp4OZ2dnCIVCvdBUvm1KSkrw4MEDNGvWjN1Er6FrqkifPmgqe+0VFxfj4cOHFepraJrK1r24uBiPHj2Cq6urgr6GrEmdPqlUqheaKtKnTtOrEikOJD/GRx2cIBQK67WmstdeUVERHj9+rKBPm3YqLCxE06ZNYWpqisposMaInPLDJ/IXTnk+/fTTSvMyNDRU2iwIkO3eWNka/Q0VS0vLuq5CjVNTO4XWF/RdnyYbUDZkOH0NG3X6rj3MQdumshV3rQFMbNLwzoOZmRm7WWlVkO8NpMk0h3o9gbUibGxswOfzlXpBMjIylHpLtCUyMhKtW7dmd/iUb4ynb4jFYly4cEFv9QH6r5HT17Dh9DVsVOkjIvx24hYGRcZjU8K9OqubLqjN9muwxohQKISfnx9iY2MVwmNjY9GlS5dq5f3VV18hNTUVly9fBlC1HVAbAjweD46OjnqrD9B/jZy+hg2nr2FTXh8RYcmxm/jthGwH9lfFDdsIq832q9fDNK9evVLYrjk9PR3JycnsNscREREYNWoU/P390blzZ6xZswYPHjzAhAkTdFqPyhpCIpGgtLRUp2XWFo0bN0ZJSUldV6NG0XeN9VGfgYEB+Hx+tfPh8XhwcXHRQY3qJ5y+hk1ZfUSE+TFpWHc+HQAwo78nxnZrXpfVqza12X712hhJSkpC9+7d2e/yyaWjR4/Ghg0b8MEHHyArKws//vgjnj59Cm9vbxw+fFjnJ09dFxUR4dmzZ8jJydFpebUFEaG4uBiGhoZ667qs7xrrsz4LCwvY29tXq17ybuIuXbqwE+b0CU5fw0aur1Onzph35CY2JdwHAPw4yAufdHat28rpgNpsvwazzkhtEhkZicjISEgkEty6dUvt1t9Pnz5FTk4O7OzsYGxsXO9eBpVBRCgtLYWBgUGDq7um6LvG+qiPiFBQUICMjAxYWFigSZMmVc5LKpXi6dOnaNKkiV529XP6GjZSqRRPnjzBiksvsePyQzAMsHBIG4wIcK7rqumE6rZfXl4ezM3NkZubW6kTCGeMVEBFJ1JuqNjZ2cHa2rqOasjBUX/JyspCRkYG3NzcdDJkw8FRX1lx6jaWxt7CkmFt8Z6fU11Xp96gjTGif6ZqDaBqmEY+R8TY2Li2q6MziAh5eXnQZ3tU3zXWZ33ye6M686nEYjFOnTql194YnL6Gi1zfhHea4fCkbg3XEJFKgbNLgPhlCsG12X6cMaIBFXVP1Zeu8apiZGRU11WocfRdY33Vp4t7g8fjwdvbWy+7+AFOX0OlRCzF0uM3UVAqZfV52DfgtajunABOzQNOzAFe3GSDa7P99G9GkQ4oO2cE0F/XXoZhYGBgUNfVqFH0XaO+6+PxeNVadKm+w+lreBSVSvDV1qs4eSMDfz/MwaawgAb/oxStegL+YwAHX8DWnQ2uzfbTz7dsNSm/zkhDddutDKlUitzcXEil0rquSo2h7xr1XV9paSmOHTumt/cgp69hUVQqwbhNSTh5IwOGAh4+6+yM48ePN0x9N48A4v9tDMswQOhSoP0nClFqs/04Y0QD9HXyHcMwMDExafhWfQXou0Z918fn89GhQwe9vQc5fQ2HghIxwjZcxrnbmTAy4GP9px0Q7NG4Yeo7MRfYPgI4+n2F0Wqz/ThjRAP0eZhGvrGTvhITEwMvLy+4ublh3bp1KuPcvHkTvr6+7MfIyAj79+9njxcUFMDFxQVTpkyprWprjL63IY/Hg5WVld7eg5y+hkF+USlG/5mIC3ez0MhQgE1jAtClpU3D1efcGWB4gLE1UMHk99rU18DOYN3QILvgNEAqlSInJ0dvu/jFYjEiIiIQHR2NpKQk/Pzzz3j58qVSPHd3dyQnJyM5ORnnz5+HiYkJevbsyR6fP38+OnbsWJtV1xh9b8PS0lLExMTo7T3I6auHxMcDffsCTk6yv/Hx+L+d13D5XjZMRTJDpIOrFYAGpk8+JAMAbr2Ar5OAHtNlQzRqqE19nDGigvIb5enjyoGA7Fe1qamp3v6qTkxMhJeXF9zd3WFmZoZ+/frh2LFjFab566+/EBISAhMTEwDA7du3cePGDfTr169KdcjKyoKdnR3u3btXpfTlCQ4ORnh4OPu9R48emD17dpXbcNiwYVi6dKlO6lYTCAQCdOvWTW/vQU5fPSM+HggOBmJjgcePZX+DgzHZrgDNbUywbWwntHd+s9N5g9BHJHPZXdUFKMx+E27dotKktamPM0ZUUH4Cq76+rBmGAZ/PrzF9YrEYM2bMQLNmzWBkZITmzZvjxx9/rPRX/MqVK9GsWTOIRCL4+fnh3LlzVSr/yZMncHR0ZDU6OTnh8ePHFabZtWsXPvjgA/b7lClTsHDhwiqVDwALFy7EgAED4OrqyoaVNyiqw759+zBv3jyN2lBVubNmzcL8+fPZrb7rGwzDwMzMTK/vQU5fPWLePNnLWyIBAYBEAhDB8/eFOP5/76CNk7lC9AahrzgfuLwOyLoDXNupVdLa1McZIxrQILrgqkBNd/H//PPP+OOPP7BixQqkpaVh8eLFWLJkCZYvX642zc6dOxEeHo7p06fj77//Rrdu3dC3b188ePBA6/KJCESkoLGimyovLw/x8fFsL8iBAwfg5uYGNzc3rcsGgMLCQkRFRWHs2LFVSq8JFhYWkEgkVW5DHx8fuLq6YuvWrTqumW4oLS3FgQMH9PYe5PTVM65fByQSZJhYYtAnS3HJyUtmkFy/DgFf+XXZIPSJzID3NwP9lwIdx2uVtFb1EYdacnNzCQDl5OQoHSssLKTU1FQqLCysg5pVH0dHR1qxYgVJJBKSSqVERBQfH09GRkZ07949nZTRv39/CgsLUwgbOnQoffzxx2rTBAQE0IQJExTCPDw8aNq0aUpxt23bRoaGhvTo0SM2bMyYMdSmTRvKycmh+Ph4Gjx4MKtx4sSJtHXrVrVlb9q0iUaOHMl+nzZtGjk5OZGLiwtZW1uTmZkZzZ07t1Ldcvbu3Us2NjYKYaNHjyYACp/09HSV6V+9ekWjRo0iExMTsre3p19++YWCgoJo0qRJbJygoCCaOHEi24a7d+8mb29vEolEZGVlRSEhIfTq1asKy50zZw5169ZNY12aoot7RCqVUkFBAatP3+D01TP69KEn5nYUPG41uUw9RD3GriKxwICoTx+V0eutvut7iG6fqHY21dUnf4fm5uZWGpfrGXlL6dSpE5KSktjvRITw8HCEh4cr7Xq8YMECNGrUqMKPqqGUrl274uTJk7h16xYA4Nq1azh//rza+RclJSW4cuUKevXqpRDeq1cvXLhwQSn+iBEj4O7uzg6jzJ07F8eOHcORI0dgbm6OgIAApKSk4PHjx8jPz8fhw4fRu3dvteek/BDNwoUL8fDhQ9y7dw+//PILxo0bh1mzZqlNX56zZ8/C399fIWzZsmXo3Lkzxo0bh6dPn+Lp06do2rSpyvTffvst4uLiEB0djePHj+P06dO4cuWK2vKePn2KDz/8EGFhYUhLS8Pp06cxdOhQEFGF5QYEBCAxMRHFxcVq865L6vV4vA7g9NUfHkX8gA9GLEC6lSMcc59j/b6fwAcBM2eqTVPv9P27H9gTBuwdA+RWPCytCbWlr56dxfqJtuvyF5Soj89jGIgM+DqNayzUvhk7deqEDRs2IC8vD2ZmZtiyZQsePHiA779X9jufMGEC3n///Qrzc3R0VAqbOnUqcnNz4eHhAT6fD4lEgvnz5+PDDz9UmUdmZiYkEgkaN26sEN64cWM8e/ZMKT7DMJg/fz6GDRsGBwcHLFu2DOfOnWPrIhAIsGTJEnTv3h0A8N133ylsaujr64vk5GQAQG5uLhITE7F3794KdWrDvXv34ODgoBBmbm4OoVAIY2Nj2Nvbq0376tUrREVFYdOmTaxnz8aNG+HkpLz3RUlJCYgIT58+hVgsxtChQ1mDsk2bNmw8deU6OjqiuLgYz549UzJE6xqxWIzDhw+jX79+ernSLKevCsTHy+Z2XL8OtGkDzJgBBAZWO9v7Wa/x0ZVSPLawh3NxLrad+g1OAT4yQ6RLF5Vp6mX7ufUBHNoDzd4BGjWuPH4F1KY+zhhRQfnl4LW1DFvPUu+x0d3dFus/C2C/+/10AoWlEpVxOzazws7xndnvXX+Ow8vXJUrx7i3qr1X9AJkxMnXqVPB4PBQWFuKHH37AvHnzYGpqqhTXysoKVlZWWpexc+dObNmyBdu2bYOXlxeSk5MRHh4OBwcHjB49Wm268vM6iEjtXI/Q0FC0bt0ac+fOxfHjx+Hl5aVwfNCgQRg4cCAYhlHKQ26IADIj4fnz52rr9Omnn6o9po7CwkKIRKJK423duhXjx78Zyz1y5AjMzMxQUlKCzp3ftL+VlRXc3d2V0guFQjAMg7Zt2yIkJARt2rRB79690atXLwwbNgyWlpZKacoi39umoKBAU2m1hkAgQL9+/erfr08dwenTErm3y/8mmeLZM+DECeD06WoZJHdfvMJHay/ieV6xzGtmXAjs//NRpenqTftl3X3jHWMgAsKOAgLDamdbm/q4YRoVlPem0Uf8/f3B5/Nx9epVLFq0CNbW1ggLC1MZt6rDNN9++y2mTZuGESNGoE2bNhg1ahT+7//+T613io2NDfh8vlIvSEZGhlJviZxjx47hxo0bKntU6hobGxtkZ2dXGm/gwIHsOifJycnw9/ev0i68fD4fsbGxOHLkCFq3bo3ly5fD3d0d6enpFaaTr71ia2urdZm1gb7u+CqH06cFZbxdALDeLpg3r1rZrjuXjud5xWhl1wg7xneCvXnlPyLk1Hn7XVoDRAYAVze/CdOBISKntvTppzmuY7RtjNQf1c9L4JX7dX5l5rsaxz0/tbtW9agIkUiEtm3bYufOndi4cSMOHjyodpW9qg7TFBQUKOXJ5/PVen4IhUL4+fkhNjYWQ4YMYcNjY2MxaNAgpfhXr17F8OHDsXr1auzYsQMzZ87E7t27FeIQETsUVdvud+3atcOWLVuUwoVCIdvrBgCmpqZKPVItW7aEgYEBLl68CGdnZwBAdnY2bt26haCgIIW48mEaee9PYGAgAgMDMWvWLLi4uCA6OhoRERFK5cpJSUmBk5MTbGxsdCFbp4jFYhw/frx+dYPrEE6flvzP20WB/3m7VIe5A73QyJCPCUEtYN1I8xd5vWi/olxAKgbuXwDaj9Jp1rWqr0pTZN8SKpoJ3NC9aYiIvv76a2IYhgYMGFAj+Y8ePZocHR3p0KFDlJ6eTvv27SMbGxv67rvv2DjLly+nHj16sN937NhBBgYGFBUVRampqRQeHk4mJiZKHj7p6elkb29P8+fPJyKipKQkYhiGkpKSakRLVfjnn39IIBDQy5cvFcLHjRtHHTp0oPT0dHrx4gVJJBKV6SdMmEDOzs504sQJun79Og0cOJAaNWqk5E0j/37x4kWaP38+Xb58me7fv0+7du0ioVBIhw8frrDc0aNHK3k96QJ9uEc46hl9+hDx+USy/hDZh89X6+1SEfczX9c/L5iqIJEQpf5FVA+1aONNwxkjFaDPrr1ERGvXriUDAwNKS0urkfzz8vJo0qRJ5OzsTCKRiJo3b07Tp0+n4uJiNs7s2bPJxcVFIV1kZCS5uLiQUCik9u3b05kzZxSOZ2VlkYeHB33++ecK4QMHDqTevXsrhEmlUhKLxXX20OnUqRP98ccfCmE3b96kTp06kZGRUYWuvfn5+fTxxx+TsbExNW7cmBYvXlyha29qair17t2bbG1tydDQkNzc3Gj58uUVlltYWEhmZmaUkJCgc+26cu3Nzc3Vj5eGCjh9WnL+PJFA8MYg4fNl3+Pjtcom6d5L8p51lGbtv16tutVJ+6UeJNr9mcwIqWGqq48zRnSE/ERmZmYqHdMHY6R79+40YcIEtb/M9QGJRELZ2dl1pjEmJoY8PT1rrPzq6luxYgX17NlTx7WSoYt7pKSkhA4dOkQlJSU6rFn9gdNXBc6fl/WEODrK/mppiFy8m0mtZx4hl6mHaPiqC1RYIq5yVWq9/fKfE82zJ5ptRpS0ocaLq64+bYwRhqgKM+XeEvLy8mBubo7c3FyYmZkpHCsqKkJ6ejq7bHlDQSqV4sWLF4iKikJkZCRSU1Nhbm5eeUKOKrNs2TIMHTpU7XoidcmaNWsQFBSk0kunujTUe4RDf4m/k4mxG5NQWCpBYEtrrP3Ev0pLI9Qp13YAT/8Bes4F+PV7nlFF79DyNLBWqB3Ku/bq046oZ8+eRY8ePeDh4YG9e/fCxMSkQtfZhg4RQSKR1OgePJUxadKkGsu7uvo+//zzGqiV7pBvWWBhYdHwtmnXAE5f7XH6ZgbGb76CYrEUQW62WD3KT2Edp6pQK/oeJQEmNoClq+x72xGyTy1Qm+2nf1e/Dijv2qvKA6GhEhwcDKlUitTUVAQEBOD169dVciNtKBCRXmvUd30SiQSXL1/Wq3uwLJy+2uFE6nN8vklmiLzr2RhrPqm+IQLUsD4iIPUv4M8+wM5RQGmh7suohNpsP65nRAP00eUOAHg8nt4P0ei7Rn3XZ2BgUOES/g0dTl/tUCyWQiyVol8beywb0Q4GKja9qwo1rs+xvWyjOwtnmftuLVOb7ccZIxqgT8M0ZSEiiMViCAQCvR6m0WeN+q5PKpUiMzMTNjY2dd7NXxNw+mqH/j5NYGvaGe2dLVTuvltVakRfaSFgYAQwDGDuBIyLkxkjdXB/12b76d/VXwPoqzECyJYs13f0XaM+65NKpUhJSdHbe5DTV3McvPYET3Le3BsBzax0aogANaDv1nFgWVvgcZkNMS1d6sQQAWq3/ThvmgrQR28aDo7agrtHOOqKbZce4Ifo63C1Nsb+rwJhYSys6yppxs6PgbSDQOvBwPsb67o21UYbbxquZ0QD9PVXCxGxS4nrK/quUd/1SaVSPH78WG/vQU6f7tkQn44fomXLwwe728HcqObm/Olc36BIIGgaMHStbvKrJrXZfpwxogH6+qAAgOLi4rquQo2j7xr1WZ9UKsXdu3f19h7k9OmWNWfvYs7BVADA5+80x+wBrWt0LlW19T1JBi6uevNdZA50/x4Q1I+enNpsP26YpgK4YRoOjqrD3SMctUlk3B0sOXYTAPBNj5aI6OlWvyd1Z9+X7bYrLgJG7gVaqd80taHCDdNUk8jISLRu3RodOnQAoL89I0SE4uJive3iB/Rfo77rk0qluH//vt7eg5w+3bAp4R5riEzu6YbJvdxrxRCplj5LF8DvU8CtD+Dkr/O66YLavD45Y0QF5Rc909cHBQCUlpbWdRVqHH3XqM/6uDkVDZva0tfH2x7NbU0wra8HvglpVaNllUVrfbmPgJKCN997zQNGbAeMLGqmgtWkNq9PbpimArhhGg6OqsPdIxy1SWGJBEbC6q+qWmP89zSw+zOgVS9gyB915q5bm3DDNDqmrpcyrimICEVFRXrbxQ/ov0Z91yeRSHDnzh29vQc5fVVDKiXMOpCCPVcesWF1YYhopY/hA0W5wIsbQHF+zVdOB9Tm9ckZIxqgrw96QH8NrbLou0Z91kdEyM7O1tt7kNOnPRIpYdq+f7Ap4T6m7f0HD18WVJ6ohtBKX7NuwMjdQNgx2RLvDYDavD45Y0QDBAL9XDWfYRiYmJjU7xnn1SQmJgbt27eHm5sb1q1bpzaeQCCAr68vfH19MXbsWDb8l19+gZeXF7y9vbFly5baqLJW6HsbCgQCdOjQQW/vQU6fdoglUkzZfQ27kh6BxwBLhvugqZWxTvKuChXqe5YCbAgFXr14E9YyBDBoOEOWtXl9csaIBujrL08iQmFhod7+KhOLxYiIiEBMTAyuXLmCn3/+GS9fvlQZ18LCAsnJyUhOTmaNluvXr2Pbtm24cuUKkpKSsGrVKuTk5NSmhErR9zaUSCS4ceOG3t6DnD7NKZVIMWlHMqL/fgwBj8HyD9tjSDsnHdSy6qjVRwQc+BK4dw44PqNuKqcDavP65IyRtxx9fYkBQGJiIry8vODg4ABTU1P069cPx44d0zh9WloaunTpApFIBJFIBF9fXxw9elSrOmRlZcHOzg737t3TsvaaUxttGBwcjPDwcPb7sGHDsHTp0hovF9DvvXcATp8mFIsl+GrrVcRcfwoDPoOVI9ujv08THdSu+qjUxzDAkDWA5wCg94Lar5QOqa3rkzNGNIDPr8cztKsBwzAwNjausS5+sViMGTNmoFmzZjAyMkLz5s3x448/VugmVpU06njy5AkcHR1ZjU5OTnj8+LHKuHl5efDz80PXrl1x5swZAIC3tzfi4uKQk5ODnJwcnDp1Sm16dSxcuBADBgyAq6ur1vXXhJpuQ3XMmjUL8+fPR15eXo2Ww+fz0a5dO729Bzl9mvFX8hMcT30OoYCHNaP80cvLXkc1rB4K+vKeAOln3xy08wA+2AKYWNddBatJbV6f+jlQqWP0tQtV7okhEolq5GX2888/448//sDGjRvh5eWFpKQkfPbZZzA3N8ekSZN0lkYdRMQOY8hdS9XpvHfvHhwcHJCSkoL+/fvj+vXraN26NSZOnIgePXrA3Nxc67HTwsJCREVF4fDhw1rVWxvkbcjj8WBoaFhj5ZTHx8cHrq6u2Lp1K7744osaK0cikSAtLQ2enp56+cLm9GnGMD8n3H3xGoEtrdGtla0Oa1g9WH22AvA3hQKlRcDnpwGblnVdNZ1Qm9cn1zPyluLk5ISVK1cqhF24cAHGxsa4f/++TspISEjAoEGD0L9/f7i6umLYsGHo1asXkpKSdJJm+/btEIlECr0VY8eOhY+PD3Jzc+Ho6IgnT56wxx49eoQmTVR37To4OACQ9Ya0bt0at27dAgCMHz8eV69eRVxcHIRCIVq21Pwhc+TIEQgEAnTu3FkhPDg4GBMnTsR3330HKysr2NvbY86cOezx4uJiTJw4EXZ2dhCJROjatSu7AF/ZPL7++mtERESgadOm6NWrFxv+zTffIDw8HJaWlmjcuDHWrFmD169f47PPPoOpqSlatGiBI0eOsHkdPXoUXbt2hYWFBaytrREaGoq7d+9Wqm/gwIHYvn27xueDg0MbXheLUVQq+yHIMAym9fWoV4aIApaugHVL2aqqPO61WhW4s6YBWluEJa9ln7Jj+eISWZi4WHXcssMQklJZWGmRZnGrQKdOnZCUlAQjIyMwDAMiQnh4OMLDw+Hi4qIQd8GCBWjUqFGFn3PnzimV0bVrV5w8eZJ9sV+7dg3nz59Hv3791NZLmzQjRoyAu7s7Fi5cCACYO3cujh07hiNHjsDc3BwBAQFISUnBy5cv8erVKxw+fBi9e/dWyic7O5vdbO7Ro0dITU1F8+bNAQAZGRkAgJs3byIxMVFlenWcPXsW/v6ql3neuHEjTExMcOnSJSxevBg//vgjYmNjAQDfffcd9u7di40bN+Lq1ato2bIlevfurTT5duPGjTAwMEB8fDxWr16tEG5jY4PExER88803+OKLLzB8+HB06dIFV69eRe/evTFq1CgUFMhcIl+/fo2IiAhcvnwZJ0+eBI/Hw5AhQyodGgsICEBiYmKNbtTH5/Ph7e2tl70GAKdPHXlFpfjkz0SM33wFxeJ62jNdUgA+jyfTJxTJhmTGxAJWzeu6ZjqjVq9P4lBLbm4uAaCXL18qHSssLKTU1FQqLCxUTjjbTPZ59eJN2JnFsrADXyvGnWcvC395703YhUhZ2J4xinF/biYLf576JixpvfbCiGjJkiXk5eVFr1+/JqlUShs3bqTGjRtTXl6eUtysrCy6fft2hZ+CggKldFKplKZNm0YMw5BAICCGYWjBggUV1kvbNAcPHiRDQ0OaP38+WVpaUkpKisLx/fv3U8uWLalFixa0evVqhWNt27YlIqL4+Hjy9vYmHx8fatu2LUVHR7NxOnfuTJ6enuTv709JSUkV1r08gwYNorCwMKXwoKAg6tq1q0JYhw4daOrUqfTq1SsyMDCgrVu3ssdKSkrIwcGBFi9erJCHr68vSaVStg1V5S0Wi8nExIRGjRrFhj19+pQAUEJCgsp6Z2RkEAC6fv26QnmTJk1SiHft2jUCQPfu3SufBRFVco9oiFgspqtXr5JYLK5yHvUZTp8yOa9LaODyc+Qy9RC1mX2Ubj1TfibVORk3iJb7k+RCJNd+FSB/h+bm5lYal5szooLIyEhERkbq7VwRQNYzMnXqVLx+/RpEhB9++AHz5s2DqampUlwrKytYWVlpXcbOnTuxZcsWbNu2DV5eXkhOTkZ4eDgcHBwwevRonaQJDQ1F69atMXfuXBw/fhxeXl4KxwcOHIhevXqpnBeTnJwMAOjSpQuuX7+usj4XLlzQWrecsnNVyuPj46PwvUmTJsjIyMDdu3dRWlqKwMBA9piBgQECAgKQlpamkEbe61JeV9m8+Xw+rK2t0aZNGzascePGAN70+ty9exczZ87ExYsXkZmZyfaIPHjwAN7e3mr1GRkZAQDbw1JTyMvRVzh9b3j5ugSjoi7h3yd5sDA2wJYxHdGqsfIzqc65Gwdk3gJzaRWMewZWHr8BU1vXJ2eMqOCrr77CV199xa6rr3UX1Q//m6dgUGYxni6TgE5fArxyp/zbO7K/gjINHjAO8BstWz64LOHXleP6jtSubv/D398ffD4faWlpOHHiBKytrREWFqYy7oIFC7BgQcXuaUeOHEG3bt0Uwr799ltMmzYNI0aMAAC0adMG9+/fx8KFC9UaI9qmOXbsGOsHL3/JloVhmDp72NvY2CA7O1vlMQMDA4XvDMNAKpWybrrlDQwiUgqTL3ZWXp+qvMuGyfORGx0DBgxA06ZNsXbtWjg4OEAqlcLb2xslJSUV6pMPG9na1tw4Pp/Ph4eHR43lX9dw+t7wIr8Y5NzWfgAAIABJREFUH6+7hJvP82HTSIgtYzvCw76erlTacTxQWgCm3Si4N6qn81h0QG1en9ycEQ0Qi8XaJRCayD5lXx4CoSxMYKg6btlJT3wDWVj5lfrUxa0CIpEIbdu2xc6dO/HLL79g6dKl4KmZeDVhwgR2QTB1H1VzIwoKCpTy5PP5Fc5F0CbN1atXMXz4cKxevRq9e/fGzJkzleIQEdv7U9u0a9cOqampWqVp2bIlhEIhzp8/z4aVlpYiKSkJnp6eSvGrqy8rKwtpaWmYMWMGQkJC4OnpqdaAKk9KSgqcnJxgY2NTpbI1QSwW4/Lly9rfgw0ETp+M53lFGLEmATef58PO1BA7Pu9UvwyR/OfAselv5ugxDNAtAmKRJdd+OoLrGdEAfV1qu2PHjli5ciVCQ0MREhKiNl5Vh2kGDBiA+fPnw9nZGV5eXvj777+xdOlShR6YFStWIDo6GidPntQ4DSBzxe3fvz+mTZuGUaNGoXXr1ujQoQOuXLkCPz8/hbh1NTmwd+/e+P7775GdnQ1LS0uN0piYmOCLL77At99+CysrKzg7O2Px4sUoKCjAmDFjVKapjj5LS0tYW1tjzZo1aNKkCR48eIBp06ZplPbcuXOsF09NwTAMLC0t9fYe5PTJeJ5XhOd5xWhiLsK2cZ3QzMaklmqoAVIJsKE/kHVb9uPv3TnsIa79dAdnjGiAvs50b9euHQQCAZYsWVIj+S9fvhwzZ87El19+iYyMDDg4OGD8+PGYNWsWGyczM1PBjVSTNC9fvkTfvn0xcOBA/PDDDwAAPz8/DBgwANOnT1dYJZVhmDrbvr5Nmzbw9/fHrl27MH78eI3TLVq0CFKpFKNGjUJ+fj78/f1x7NgxlQZNdfXxeDzs2LEDEydOhLe3N9zd3fH7778jODi4wnRFRUWIjo7WakXbqsDn87Vyp25ocPpk+DhZYGNYAOxMDet0rxmV8PhAyCwgboHSsDjXfrqDobrov24gyOeMZGVlKfUMFBUVIT09Hc2aNauzl1116dGjBzw9PbFixQq9tezlwxh1tZnc4cOHMWXKFKSkpKgdBqsOdaUvMjISBw4cwPHjx9XG0cU9IhaLkZiYiICAAL3cTO5t1pee+Rr5RaXwcbKoo9pVQMlroCALsHB+EyYpVRoWf5vbTxPk79Dc3FyYmVU87KZ/Z68GqImXSF0hlUrx4sULREVF4ebNm9ixY0ddV6nGKT+hszbp168fbt++jcePH6Np06Y1UkZd6DMwMMDy5ctrvBwejwdHR0e9ugfL8rbqu5PxCh+tvYiiUgl2ju8Mzyb1aH7Iy3Rgx0ey4ZlxpwDDRrJwFfPz3tb2qwk4Y0QD9OlCO3v2LHr06AEPDw/s27cPdnZ2dV2lGoVhmFpdJl0V2i5jrw11pe/zzz+vlXJ4PJ7SInz6xNuo78azPHy87hIyX5XAvbEpbBrV7f2phNAEKMwGSArk3Acae6mN+ja2X42VVSulNHD0aaZ0cHAwpFIpUlNTERAQgPz8fL3euZeI9FqjvusTi8U4e/asXt2DZXnb9KU8zsWHay4i81UJvBzMsP3zTrA1rWfGSCM74KOdwPizFRoiwNvXfjUJZ4xogD71jJSnrnsNagN916jP+ng8Hlq0aKG39+DbpC/5YQ4+WnsR2QWlaNvUAtvGdoKVibCuqwi8zgS2vAfci38T1qQtYFr5zsBvU/vVNNwwjQbo64XGMAyEwnrwMKhB9F2jvuuTj1nrK2+LvtQnsqGZV8Vi+LlYYsNnHWAqqru5XAqc+xW4cwLIugt8nQTwNX8tvi3tVytl1UopDRx97YIjIuTl5eltFz+g/xr1XZ9YLMapU6caxj0YHw/07Qs4Ocn+xsdXmqRB6asCcn3OloZo42iOjs2ssCksoP4YIgDQYwbgOQD4cLtWhgjw9rQft+hZPUFfe0YA/d8XA9B/jfqsj/e/XVHr/T0YHw8EB8t26pZIgGfPgBMngNOngUD1e5c0GH1VRK7P2NAAUZ/6gwEDI2Edr9tUWgjciAHaDJN9F5rIdtytAm9L+9WGPv08gzpGXy80+Z4l+rrGCKD/GvVdH4/Hg52dXf2/B+fNe2OIALK/RLLwCmgw+qpA3I0M/HbyDmxtbcHj8WAsFNS9ISIuBv7sDewdA1zfU+3s9Ln9gNrVp59nUMeUlpaqPdaQu8elUilyc3Mr3CumoaPvGuuzPl3cG6WlpTh27FiF92C94Pr1N4aIHIlEFl4BDUaflhz79xk+35yE30/exvzNR+uPPoEh0CIEMLYBTKq/wZ2+tp+c2tTHDdNogKrl4OULTRUUFDTYbnKGYepsZdLaQt811md9BQUFAKq3KBufz0eHDh3q/5YMbdrIhmbKGiR8viy8AhqMPi049M8TTNqRDImU0M/bHuN6u9StPqkUEBcBwv8tM99jhmzXXQ28ZSpDH9uvLLWpjzNGNEBVFxWfz4eFhQUyMjIAAMbGxvXyhaAJ+jr5qiz6rrE+6SMiFBQUICMjAxYWFtV6kPF4vCpt0ljrzJghmyPC58sMEj5ftrOrip2ky9Jg9GlI9N+PMHnXNUgJGNLOEUuG+UDAr8MO+IKXwL7PZTugv79Z1iY8vk4MEUD/2q88talP742R/Px89Ph/9s49Lqoyf8DPzCDgFTBTE9C8ZZl4ydSMcm3L0i0vuVtmNyu1m5uVu9XuZttuuV32YuaGbWqlv8ruqZWUUKYgppDiLU1QSdBQRAFRGZhz5vz+GG4DM8MMnLmc1/f5fPh4GM6c8z58j/Dl/b6XX/8am82GqqrMnj2bmTNn+nQNd11UXbs6HuiahMRoaJqG1WolMjLSsIlUU4juGMp+0dHRtf9HmovNZiMlJYXrr78+qMv6N0liomOw6rx5jtJMQoIjEbnySo9vM4yfF3yUVcBTn+1E0+DWy+N4cfJA7KrCmq+/Cp5fSR7kbQCTGYr2Qpf+ul5epPi5IpB+wm+Up6oqlZWVtGnThrNnzzJgwACysrI477zzmnxvzSY/paWlREVFebyHEWuGwd5ELhCI7hiqfq1atdKla7dmhdn27duHlJ9eiOJ38Phprpu/AbsGd17RnecmDMBsNoWG365PoNNFcMFA3S8dEn5+pKV+cqO8elgsFtq0cdQKrVYrqqr6PLCuqSBYLBbD1gyNOt7FF0R3FNnPZDI1+UPMyIji1+v8djw/aQAHis7wzE2X1P7MDLifUgnfPgdXPAxR1Yt11Uzh9QOixM8dgfQL+dk0aWlpjB8/nm7dumEymVi1alWjcxYtWlS7TfnQoUNJT093+nppaSmDBg0iLi6OJ598kk6dOvnUBiP2eniDzWZj9erVwvqB+I7Sz9gY3a+iqm7A7h0jevDX8f2d/ngLuN+Xc+D71+CTex1Tq/2M0ePXFIH0C/lk5MyZMwwaNIjXXnvN5dc//PBDHnvsMZ5++mmys7O5+uqrGTduHPn5+bXnREdHs2PHDvLy8lixYgXHjh1zea3KykpOnTrl9AF1PSOqqqJWj5avf6woitNxzTRLd8c2m83puKanpuZY07RGx4DTsd1udzquGcDo7lhVVadjVVUJCwvj2muvdelnVKeGxyaTieuuu46wsDBhnOofA05+IjjVj5M3fkZzqt92d35GcFqQuo+JSRs5eabKbWzq+wXEadQf0GJ6ol71BzCZdIuTt36hGKeW/NzTNI0xY8Y4+fnq5C0hn4yMGzeOefPmMXnyZJdfnz9/PtOnT2fGjBlccsklLFiwgPj4eF5//fVG53bp0oWBAweSlpbm8lovvvgiUVFRtR/x8fEA/PjjjwDs3buXvXv3ArBz505yc3MByM7OJi8vD4DMzEwKCgoA2LRpE4WFhYCjh6e4uBiAdevWUVpaCkBKSgrl5eUAJCcnY7VaURSF5ORkFEXBarWSnJwMOAbjpqSkAI7ennXr1gFQXFxc61RYWMimTZsAKCgoIDMzE4C8vDyys7MByM3NZefOnQAcOHBAOKf6cdq1axc///yzUE4N43T48GHhnGrilJWVVfvHgyhO9eP0/fffc+LECUM55eTk8O+1+1jw7X5yjp0mdc9Rt89eeno6ZWVl/nPasB6O7alz6tiL/AmfsuVEe13j5OnZO3PmTEjGSY+f5ampqVit1hY5eY1mIABt5cqVtZ9XVlZqFotF++yzz5zOmz17tjZq1ChN0zTt6NGjWllZmaZpmlZWVqb1799f27Fjh8vrW61WraysrPajoKBAA7Rjx45pmqZpiqJoiqI0OrbZbE7Hqqp6PK6qqnI6ttvtTsd2u73RsaZpTseqqjod22w2j8eKojgdK4qiVVVVaatWrdIqKiqEcWp4XFFRoa1atUqrqqoSxsmTnwhO9eN09uzZJv2M5lS/7e78QtXJZrNpz32xW+vx1Jdaj6e+1P63PreRkzs/3Z0qTmnqe1M07fkumvrLDr/GyVu/UImTXj/Lz5w508jPF6eysjINqP0d7AlDzaYxmUysXLmSSZMmAfDLL78QGxtLRkYGV9abQvfCCy+wfPly9u3bx9atW5k+fXptl9JDDz3EQw895NX9vJ1NY1Q0TUNRFMLCwoQcCQ7iO0o/Y2MkP03T+PsXe1i26WcA/ja+P/ck9mzyPX7zs6vw3i3w80a4+X8wwHXvuT8xUvyaQ0v9zrnZNA2/SZqm1b42dOhQtm/fHoxmGYKaB01kRHeUfsbGCH52u8bTq3bzfmY+JhP8Y1ICt4/o7tV7dffTtLrFy367FEoPQbch+l3fR4wQv5YQKL+QHzPiiU6dOmGxWDh69KjT60VFRXTp0qXZ101KSqJ///4MGzYMCK3VLfVEURRSUlKE9QPxHaWfsTGK38mzVaTlHMdkgn/+dqBPiYhufkoVJD8J6f+pe61Nx6AnIkaIX3MJpJ+hyzQAI0aMYOjQoSxatKj2tf79+zNx4kRefPHFFt3Ply4miUQiEZn8E2fZ/UsZv0m4IDgN2PsFfHgnmCzwyFbo6LlEJAk+QpVpTp8+zf79+2s/z8vLY/v27XTs2JHu3bszZ84c7rrrLi6//HJGjhzJ4sWLyc/P58EHH9StDQbK13xCE3z1QBDfUfoZm1D2q1Ls7DpSytAejr1Jup/Xhu7ntfHpGrr6XTIerpgFPa8OmUQklOOnB4H0C/kyzQ8//MCQIUMYMsTRFTdnzhyGDBnCX//6VwCmTJnCggULeO655xg8eDBpaWkkJyfTo0cP3dogchdcenq6sH4gvqP0Mzah6lepqDz83lamvLGZb/a4XpfJG1rkp2mw/X3Hqqo1jH0B+o1rdnv0JlTjpxeB9DNUmSZQJCUlkZSUhKqq5OTkyDKNRCI5Z7DaVB54Zysbco4TEWbmjbuGMrpf58A35ItHYesyGHovjF8Q+PtLWowvZZqQ7xkJBrNmzWLPnj1kZWUBOK22JxJ2u52TJ08K6wfiO0o/YxNqfmerFO5blsWGnONEtjLz1j3DWpSItMjv4vFgiYAulwZkaffmEGrx05tA+slkxAvqL00tEqqqkpWVJawfiO8o/YxNKPmdrlS4560sNh04QdtwC8uHtSHxkbsgLg7GjYOMDJ+v6bNfZXndcd/r4NEdMHymYypvCBJK8fMHgfSTZRoPyNk0EonkXOBslcKdS7ewLb+U9hFhLLs8kqE3Xwv1fwlZLLBhAyQm6t8AVYFv/+aYMXP/emgdo/89JAFHlmlaSMN1RkTugisqKhLWD8R3lH7GJlT8IsMs9O3cnqjWrXhv5giG/uMp50QEHJ//4Q8+Xddrv6rTsOdzKPkZ9n3lW+ODSKjEz18E0k8mIy44l8aM7N69W1g/EN9R+hmbUPEzm028MDmBLx+5ioFx0eBu1WofV7P22q91NEx5B25ZDoNv9+kewSRU4ucvAuknyzQekGUaiUQiKkXlVt5Mz+OJG/oRZmnwd2lkJFRWNn5TRARU7+LaIjQNMpfAeb2gz3Utv54kJJFlGp0ROes9cuSIsH4gvqP0MzbB8jtaZuW2NzbzRtpB/pG8t/EJgwe7fqO7193g1m/7e/DVE/DpDChv/jomwUY+n/ohkxEvEPlBO3DggLB+IL6j9DM2wfA7UlrBlMXfc7D4DLHRrbnnygsbn/Sf/zgGrNbHYoH58326l1u/hFsgfgRc/UdoF4Q1THRCPp/6Ics0LpCLnkkkEhHJP3GWqUs2c6S0gviOrXl/5hXExbhZ4j0jA+bNg127ICEBnnkGrryy+Tcv3AkXDKz73K46dt6VCIsvZRqZjHig5htZUlJCdHR0sJujO3a7nYKCAuLj4zGbxewkE91R+hmbQPodPH6a25ds4egpKz07tWXFzBFcENXar/es8eu+/x1M6f+C8Qth6DS/3jOQyOfTM3LMiM6I3AUncr0TxHeUfsYmUH421c49b2dx9JSVvp3b8eH9V/g9EYF6fpZwxwsn9nt+g8GQz6d+yJ4RD8jZNBKJxHA0LK/MnQuJiaTnHuffKTm8Oe1yOrWL8H87NK1u5VS7HQ5thJ6j/H9fScgge0Z0RuSlfvfv3y+sH4jvKP2Mje5+GRkwejSkpsKRI6jffOv4PCODq/uez8qHrvR/IqJp8MPb8MEdqLYqh5+mCZmIyOdTP2Qy4gWidh5pmkZJSYmwfiC+o/QzNrr7zZvnSAZUlW3d+jHmnoXsj+nmeB3H4mZ+59QR+PrPsG8N/PiZjJ+BCaSfLNO4QM6mkUgkhiQuDo4cISu2P/fc8jfORLThxr1pJG19Dw4fDlw7dn7kSEoSHwvZTe4k/keWaVpIw+XgRe6C++mnn4T1A/EdpV8Qychw7Gbbwl1tdfVLSGDThYO5+9bnOBPRhpGHdvCvlNccY0f8Se43cDKv7vOBt8JVj6Pa7aEbPx0I6edTBwLpJ5ORc5yKiopgN8HviO4o/YJAg7EZpKbWjs3wlWb5uUmENtz/FPdOfoaK8EhGHdzK2yvn0UapcqwR0oLreiT7PXjvd/DRXWBr7BKS8dMR6acPskzjATmbRiKRuGTcOEcCUv8vRosFxoyBr/y862xNIlQ9NqSGb39zJw8Nuo0qO1xblkfSmn8Teekl3i9W1vC6FoujxLJ+PSQmun9f2RF4YxT0nwBjX4KwAMzUkRgCWabRGZG74Hbv3i2sH4jvKP2CxK5dzokIOD7ftcunyzTLr94g1Ro04I3oAVTZYWzXVrz+34eJzP/ZkRh5u2pqw+uqquPz6sGvTljL6o6jYuHh7+GmVxolIiEbP52QfvohkxGJRCLxlYQE13u3+HtsBrhMhEzAkk+fZ/amD3ht7QLCw5rxo93bBGv7CnglAQ5vrXvNwPvLSEIDWabxgCzTSCQSl7graWzY0LL9W7yhXokop1N3LirOd/56bGzzZs54U3rSNMfYkL1fwGXTYMLC5ntIhEeWaVpIUlIS/fv3Z9iwYYDYZZrs7Gxh/UB8R+kXJBITHWMpxoxx/PIfM6ZZiUiz/ObOBZOJDwZezw33vcbSyyfWfa0lvTPV163t8alJsOoPfjWZYOIiGPsy3LSgyUuGbPx0Qvrph0xGXNBwaq/ItG7t//0pgo3ojtIvSCQmOnoMDh/2bWxGA3z2S0zk/95ey5/GzUYzmSmI7ooGrpMHH6/rMsHqWgUbX6k7L7IDXPEgeLlxWsjGTyeknz7IMo0HZJlGIpGEGkvTDzJvzV4AZvSK4OmV/8FUsw+NtzNnvOV4DiwaAZod7loJvX+t37UlwiPLNDqjKEqwm+AXFEUhKytLWD8Q31H6GRtf/ZK+21+biDw8ujdPz7wWkw69M245/yIY/gAMvhO6j/T57TJ+xiaQfjIZ8QKToMsZm0wmYmJihPUD8R2ln4FwsaCYL36vpObwr7X7AHj8uot44oZ+/vm+FP0EVWfqPr/hBZj4GrTyvbteqPi5QPrpeC9ZpnGPLNNIJBJdaO6CYvVYnHaAF5J/4smx/Xh4dB//tHPPalj5IFx8E0xeLPeVkbQIWabRGZG74DZt2iSsH4jvKP0MgpsFxZSXXvLa7/5RvVk1K9F/iQhAm/NAqYQzRS6XdvcVYeLnBumnHzIZ8QKzl6PGjYbZbCY2NlZYPxDfUfoZBDcLipl37nTrZ7drLEk7yCmrrfa1wfHR+retfuf4hVfBPWvgzs8gvE2LLy1M/Nwg/XS8l9/vIAAiP2g9evQQ1g/Ed5R+BsHNiq3m/v1d+tntGn9ZuYt/JO9l+rIsVLufquk/Z8Di0XC6qO61HiPBbHH7Fl8QJn5ukH463svvdzAgDRc9E7kLLi0tTVg/EN9R+hkENwuKKXPnNvJTVDt//HgHH2QVYDbB1OHdsZj9MHbDrkLyE1C4Hb57Qf/rI1D83CD99EMmIy5ouOiZyFlv7969hfUD8R2ln0Fws6CYeeRIJz+bauexD7fzWfYRLGYTr942hMmXxfmnTWYL3PK2Y1n3G/yTjAgTPzdIP/2Qs2k8IGfTSCSSQFGl2Hnk/W2s/fEYrSwm/jv1MsYO6KrvTY7nQGk+9L1O3+tKJC6Qs2l0RuQuuHXr1gnrB+I7Sj9jU99v7qpdrP3xGOFhZt64a6j+iUjhTlhyDXx8DxTn6nttN5xL8RORQPqF+f0OAiByF9yAAQOE9QPxHaWfsanvN/PqXmTsP8GLkxMYddH5+t+s8yVwwSDABJFR+l/fBedS/EQkkH6yTOMBWaaRSCT+RNM0p9UtqxQ74WE6/uCvKIHI6LrFyypKILw9WOTfoRL/I8s0OmOz2Zo+yYDYbDbWrl0rrB+I7yj9jEu51cadS7fw6gdf1frpmogUZMKikbDlf3WvtY4JaCIicvxA+umJTEa8wNJwfQBBsFgsDBs2TFg/EN9R+hmTsgobd72ZScaBE7y3PwzF7oebHNkG5YWw7R1Qg/PLUtT41SD99EOWaTwgyzQSiURvSs5UcddbW9h95BTRbVrx7vQRDIj1wxgOTYPMJTB4KkS01//6EkkTyDKNzojcBbdmzRph/UB8R+lnLIpPVzJ1yWZ2HznFeW3Deffeyzm0faM+ficOwBeP1vWCmEww4v6gJiKixa8h0k8/ZM+IB2qyutLSUqKiAjP6PJBomkZ5eTnt27cXdgts0R2ln3EoOmXl9qVb2F90ms7tI1gxcwS9z2+nj59SBQuHwKnDMOpJ+PXT+jW8BYgUP1dIP8/InhGdEfEhA4dXhw4dhPUD8R2ln3FYujGP/UWnuSAqkg8fGEmfzu318wsLh3EvQfeRcPl9+jRYB0SKnyukn37IZMQLRO6CW716tbB+IL6j9DMOT9zQj2kje/DRAyPp2akt0EK/MyccpZkaLhkP9yRDhwt0anHLESl+rpB++iHLNC5ISkoiKSkJVVXJyckRukxjtVqJjIwUNrMX3VH6hTZFp6x0aheB2c1Gd832W/serH8MKhTIHQZ/edax/02IYfT4NYX084ws07SQhhvliUxYmPiLH4nuaDi/jAwYNw7i4hz/ZmR4PDdsyhSIj2/63GDgwWV/0WnGv7aRp1ftxtPffD7HLyMDbr0HKq2OwaqZ38Ho0aH3vanGcM+nj0g/fZDJiBeIvO9AcnKysH4gvqPh/DIyHL84U1PhyBHHv+5+kWZkoPzmNyRPn45y8qTnc4OBB5d9R8u5bfFmjp2qZNuhEk5ZXcfHp/jVJDTz5sEZDd49C0vOQLHi+Nq8ebqp6YXhnk8fkX76Ics0HjgXZtMoikJYWJiQXYwgvqPh/MaNc/zSVtW61ywWGDMGvvqq0blaaipKeDhhFRWYPJ0bDNy4/Dh+KncOuYuSszb6X9CBd2eMoGPbcJeX8Dp+33wKX8+G9SrsLoXKysbnxMbC4cMtlNIXwz2fPiL9PCPLNBKvETWjr4/ojoby27XL+Zc3OD7ftcv1uXY7Sps2dXuruDs3GLhw2Xl+T26/cDwlZ20Miovi/ZlXuE1EamgyfhkZsOAuaHcahp12nYhYLJCQ4KtBQDDU89kMpJ8+yGTEC0R92BRFISUlRVg/EN/RcH4JCY5fnPVx94s0IQGlbVtS3nwTJTLS87nBoIHL1m4Xc8dt/6Asoi1De8TwzowRRLVp5f79GRkoEyc64jdxovvy07x58E0VZFfBirONv26xOJK1Z55poZD+GO759BGh/FyMfwqknyzTeEAuBy+R6EzNOAtNc/Qq1Pwi3bABrryy+ecGgwbtS7loJA9PeIrLOkfy9uxraRvhYeCfO7f16x2zYipKYO8XcNndjl8OR440vkZEBHTq5EiKnnkmNL4nEmPS1PPYTGSZRmdEzdc0TePUqVPC+oH4jobzS0x0/IAbM8YxxmHMGPfJRWIi2nffcerWW9Hi4jyfGwwauFzfK4rlV0Wz7NEmEhFw9HZomiN+8fGO+NUMQq06A4uvgc8fgV2fuO9NuuYaxxiRr74Kne9JAwz3fPqIMH7Vz2Nt2VFVHc/nP/4RMD+ZjHiBEF1wLlAUhfT0dGH9QHxHQ/olJjp+gXrxi1QZMYL0O+5AOXgwJH/ppne+iIL3Pq11SZz4K9qEezEVsnq8iRIRQfrLL6NERNSNhwlvCwN+C9E9oNNFMHeu46/UmoQkhMsyDTHk8+kDwvi5Gcul5OQEzE+WaTwgyzQSicQdqXuOMeu9bXSJiuDTh66kc/tI79/ccCaOBQi3wK+qZwrZVagsh9bRjq9nZDj+et21S5ZlJPrjyyw3H5BlGp2x2+3BboJfsNvtnDx5Ulg/EN9R+gWH5F2FPPTuVqpUOwNjo4lp43nGTCOqezvsrVpROqQP2r3tYGKE43UAs6UuEQGfepNCiVCNn14I4+em980+d27A/GQy4gVqw+4rQVBVlaysLGH9QHxH6Rd4Vm8/wu9XbEOxa0wa3I1XbxtMK4uPP0qrx5uoY8ey94E74QILXBoNF3f1T6ODRCjGT0+E8XMzlksdPjxgfrJM4wFZppFIJPX5+IcCnvx0J5oGtwyN46XfDsTiZt8Zn9izGroOhI49W34tiSREkGUanTF8F5wb7HY7RUVW9JDLAAAgAElEQVRFwvqB+I7SL3B8ufMXnvjEkYjcMaI7Lzc3EbGWwepZUHa4zu/i8UImIqEUP38g/fRDJiNeIPKDtnv3bmH9QHxH6ecnXCwANbLXefTt3I57rryQeZMGuN2Jt0k+nw3Z78Jn92NXVRk/AyP99EOWaTwgyzQSSRBpOINk7twWLcDk9fU9LAB1auhw2ke0cB+Sk3nw4V0w/lWIG6qbjkQSasgyjc6InPUeOXJEWD8Q31FYv+qEwL5uHUd69MC+bp2+O/Z62j243gJQr428lQ8uvbZ2QbIOka18T0RUGxzeWvd5x57wYDrEDRU3ftVIP2MTSD/hk5GCggJGjx5N//79GThwIB9//LHP1xD5QTtw4ICwfiC+o7B+1QmB3WTiwIQJ2E2muhVKdbx+wxUna3pKNFXlP1ffyb9H3c2fx/6en2LimrdBX0UpLLsJlt0IR+u9vzqhETZ+1Ug/YxNIP+HLNIWFhRw7dozBgwdTVFTEZZddxr59+2jbtm2T75VlGokkSLjbjyU21rHWhh+vryUk8FJlN94YPhmAP3/3Fg9sXd28BaDsKqy4FQoy4Za3oc91LW+7RGIQZJmmHhdccAGDBw8GoHPnznTs2JGTJ0/6dA2Rs95Dhw4J6wfiOwrrV70fiz0sjEPXXYc9LEzfHXvd7PeiJSTw90lzahORZ795w5GI+LL8uqZBTTzMFpi8BO5f7zIRETZ+1Ug/YxNIv5BPRtLS0hg/fjzdunXDZDKxatWqRucsWrSInj17EhkZydChQ0lPT3d5rR9++AG73U58fLxPbRD5QRO53gniOwrrV7NCaXg4RxITsYeHu04IXMx68eX69VectJvMzJ0wh2V5VQD8o+A77j26zbcN+ipPwyf3wsb/1L3WpiOc19vl6cLGrxrpZ2wC6qeFOMnJydrTTz+tffrppxqgrVy50unrH3zwgdaqVSttyZIl2p49e7RHH31Ua9u2rXbo0CGn84qLi7VLLrlEy8jIcHsvq9WqlZWV1X4UFBRogHby5ElN0zRNURRNUZRGxzabzelYVVWPx1VVVU7Hdrvd6dhutzc61jTN6VhVVadjm83m8VhRFKdjVx7SSTqFlNPGjZrtpps0tXt3TRs7VrNt3OjslJ6uaWFhWlXbtppqNmuaxaJVtW+v2dPTvXNKT9eqxo/XtNhYTR03Tlvz8Tqtx1Nfahf+6Uvt/c0/N8tJ3fGRpj3bQdOeO19TTuafG3GSTtLJjVNZWZkGaGVlZVpThHzPyLhx45g3bx6TJ092+fX58+czffp0ZsyYwSWXXMKCBQuIj4/n9ddfrz2nsrKSm2++mT//+c9c6eGvmxdffJGoqKjaj5oelF3VA9f27t3L3r17Adi5cye5ubkAZGdnk5eXB0BmZiYFBQUAbNq0icLCQsDRw1NcXAzAunXrKC0tBSAlJYXy8nIAkpOTsVqtKIpCcnIyiqJgtVpJTk4GoLy8nJSUFABKS0tZt24dAMXFxaSlpQGOMTKbNm0CHIN3MzMzAcjLyyM7OxuA3Nxcdu7ciaqqfP/99/z444/CODWM044dO9iyZQuqqgrjVD9O27Ztq12uWRSn2jglJpL55z+z9ZNPUL/8kk2q6uy0fDloGutefZXSvn1BVUl54w3KFy3yzmngQFIeeAAOH6b03Xcxt6vkodG9+fvYXnQ+c6BZTnvMl3C8310w7XN2/lzc5P+njIwMsrOzUVXVuHHC/f+nDRs21P6sEcWpYZx2796NqqpCOdWP048//oiqqs128pom05UQggY9I5WVlZrFYtE+++wzp/Nmz56tjRo1StM0R7Z22223ac8++2yT13fXM1JUVKRpWmhmnjXHzcmmbTabtmXLFs1qtQrj1PDYarVqW7Zs0Ww2mzBOnvxEcKofp4qKCvd+8fGaBlpVZKSjZwS0qtatNXtcnNdOZyqs2tlKpflOik1TM17TFOtpr53qe7jzM1qc3D1v9f1EcfLkJ4JT/TidPXu2kZ+/ekYMNZvGZDKxcuVKJk2aBMAvv/xCbGwsGRkZTj0eL7zwAsuXL2ffvn1s3LiRUaNGMXDgwNqvv/POOyR4MRBOzqaRSEKYFm57Xqmo/H5FNhVVKkunXU5kK0uT72nER3c79pW5bBpMWOj7+yUSgTnnZtM0XIRI07Ta16666irsdjvbt2+v/fAmEamPavQdGd2gqio//fSTsH4gvuM57edm23NvZr1YbSoPvLOV1D3HyPz5JHsKTzWvgZfdDRFR0PvXzXr7OR0/AZB++mHoZKRTp05YLBaOHj3q9HpRURFdunRp9nWTkpLo378/w4YNa2kTQ56KiopgN8HviO54zvq52fa8qVkvZ6sUZiz/gfX7jhPZysxb04ZxWfcY7xqjaXCmuO7zPtfBYzuh9PzmzerhHI6fIEg/fTB0mQZgxIgRDB06lEXVg9YA+vfvz8SJE3nxxRdbdD9ZppFIxOJ0pcJ9y7LIzDtJm3ALb90zjCt6nefdm6vOwpePQ/73jnVD2nR0vO5hLxtd99KRSAyGUGWa06dP15ZXwDGSePv27eTn5wMwZ84cli5dyltvvcXevXt5/PHHyc/P58EHH9StDSJ3wdWMBBcV0R2ln/ecstq4+80tZOadpH1EGO9MH+59IgKgVkLBZig7DIfq9Xx4Wlq+qUvK+Bka6acfYX6/Qwv54YcfuOaaa2o/nzNnDgDTpk1j2bJlTJkyhRMnTvDcc89RWFjIgAEDSE5OpkePHsFqskQiCUF+Ka0gt+g0HSLDeGf6CAbFR/t2gdYxMOVdsJbBhVfVvb5rl/MgWnB83py9bCSScxRDlWkCRVJSEklJSaiqSk5OjizTSCSCkJ1fQiuLmQGxUU2fbFdh/YsQPwL6jnF/Xgtn9UgkoiJUmSYYzJo1iz179pCVlQWIXaapWXBJVER3lH6eOV5eyc7DpbWfD+ke410iApC1FNL+BZ/OgLMe9rNqwaweGT8DUm8LAvWmm8j++mux/OoRyPh5Vabp2LGjTxc1mUxs27ZNlkoMQOvWrYPdBL8juqP0c82xU1amLtnM8VOVrJh5BQlxXiYhNQy9B/Z+4Zi+28bDz8CaWT3z5jlKMwkJjkTEm71skPEzFA0HKxcX0zoqCtq1g6uuavLtRiRQ8fOqTGM2m1mwYAFRUU3/Z9Y0jYcffpjdu3fTq1cvXRoZLORsGonEmBwpreD2JZs5dOIs3aIiWTHzCi7s1LbpN/6cARfWmwGjaY5eDokEZEnOR3z5Her1ANbbbruNzp07e3XuI4884u1lQ5L6Y0YAFEUJcov8g6IoZGdnM2TIEMLCQn4sc7MQ3VH6Nabg5FmmLtnM4ZIK4ju2ZsWMK4jv2MbzmzQNvngUti2H8Qth6DTH635ORGT8DEaDwcpKeDjZjz7KkI8/Dv3ZIM0gkPHz6uq+bh9cs1mQUZk1axazZs2qzeoarvAqCiaTiZiYGGH9QHxH6edMXvEZbl+ymcIyKz07teW9GSPoFt1EN3NN53DMhWAyO2bLBAgZP4ORkABHj9YmJCa7nZjcXEz9+we5Yf4hkPGTs2k8IMs0EolxyD9xlt/9bxNF5ZX0Pr8t78+8gs4dIj2/ya6CuXrgqaZB4Q7oNtj/jZUYE3cL3Hmx8u+5iF9n03z++ecuP7744gtSU1NrtyoWCZHLNJs2bRLWD8R3DAm/erMLfF0KvSl88evcIYJ+Xdtzcdf2fPjASM+JiN0OG/4JK251JCTg+KUS4EQkJOLnR4Tza7AFgTJuHJtWr0YZPjzYLfMLgYyfz0WgSZMmYTKZaNihUvOayWTiqquuYtWqVcTEeLnfQ4hjNos5A9psNhMbGyusH4jvGHS/hn8pHj0K33yj21LovvhFtrKw+K7LsdpUYtqGez659GdInw9KBeR8DRffWPe1jAznmTFz5/ptWfegx8/PCOmXmFg7WNVstxNbUCCWXz0CGT+f75CamsqwYcNITU2lrKyMsrIyUlNTGT58OF9++SVpaWmcOHGCP/7xj/5ob0BouFGeyA9ajx49hPUD8R2D7teCpdC9oSm/7PwS5qfm1P5x1Drc4jkRqfkjqmMvmPgaTExqnIiMHu2YMXHkiOPf0aN17e2pT9Dj52ekn7EJqJ/mI5deeqmWkZHR6PWNGzdq/fv31zRN01JTU7X4+HhfLx1ylJWVaYB24sSJYDfFL9hsNm3Dhg2azWYLdlP8huiOQfeLjdU0x69454/YWF0u78kvK++Edulfv9Z6PPWltmLLoaYvtv0DTSve7/mcsWM1zWJxdrFYHK/7gaDHz89IP2PTUr+a36FlZWVNnutzunPgwAGXA1E6dOjAwYMHAejbty/FxcWNzjEqIme9vXv3FtYPxHcMul9CQt3Ko/WJi9Pl8u78vj9wgrvfyuR0pcIVvToyYVA3zxfa/DqsvB8+mgY2D1uiB3ifmaDHz89IP2MTSD+f7zB06FCeeOIJjh8/Xvva8ePHefLJJ2vLGrm5ucTp9MMoFBD5QROuntsA0R2D7jd3ruvXf/hBl9KGK7/03OPcuyyTs1UqV/ftxNv3DKdtRBPD3/pPhHZdHCUZS4T781wlVxaL43U/EPT4+Zlzxu/77/02iDuYhPSYkTfffJO8vDzi4uLo06cPffv2JS4ujp9//pmlS5cCcPr0aZ7xYl8GoyDMSPAGKIrCunXrhPUD8R2D7peYCJdf7vprOowbaei37qdjTF/+A1abnV9f3Jkld19O63AXPTMAp4vqjjt0g99nwTV/Bk8/WFuwz0xzCHr8/Mw54ffllyhjxwZsnFEgCWT8mrXOiKZprF27lpwcx8Cxiy++mDFjxgiX/dbMkS4pKSE62sftxg2A3W6nuLiYTp06CRe7GkR3DAm/uDjHD+GGxMbC4cMtunR9v+Onq7j6n99Rpdi54dIu/HfqZYSHuXDWNMh4Fda/BPd8CXFukiV3NJxN48M+M74SEvHzI+eE3wMP0Gn5csw2W90XBFkivqXx82WdEbnomQvqLwefk5MjFz2TSGpwNe113ryA7dfxUVYB6fuLmX/rIFpZ3Pxw1DT46C7HJneJj8KY53Rtg0TihB+TcaOj+6JnCxcuxGq1et2A//3vf4ZeEn7WrFns2bOHrKwsAGz1M16BsNlsrF27Vlg/EN8xoH7upr1OmOC30obNZmPNV1/X+t06LJ6Ftw12n4iA494TF8HNi+G6v7e4Df5EPp/Gxmazsfbll7G1bbAJox/HGQWSQMbPq2Tk8ccf9ym5ePLJJ50GuBodi6vZAgJgsVgYNmyYsH4gvmNA/dytKfL5506rUjJmjG7LY3+S/QvzfwynpKKuZu1yn4xdnzjKMjVEdoBBU0J+x135fBobi8XCsNhYLDZbwMYZBZJAxs+rMo3ZbGbAgAFe79q3a9cu9u3bR69evVrcwGAi96aRSOoR4O7odzYf4plVuwF4cmw/Hh7dx/WJhTvgjVGO42lfQs+rdW+LROKRAI4zMhK+/A71Krt49tlnfWrAxIkT6dixo0/vCWVE7mJMSUnh+uuvp1WrVsFujl8Q3TGgfg12LAXquqN1XkL9zY15PP/lHgCu6QYzruzu/uQLBsEVsyAsAnoY6xeAfD6NjZOfwQeruiKQ8ZMDWD1Qk9WVlpYSFRUV7ObojqZplJeX0759e3G2+G6A6I4B9XO3Y+l//wuPPNL49WbuT/P6+gO8/PVPADz4q148dGU3OnTo4OxXkAVd+kN4da1e00K+JOMK+XwaG+nnGb/u2nsuIuJDBg6vRj/kBUN0x4D6NdixtHZsyOrVuuxPo2kar36TW5uIPHptX54aezFRUVHOfluXw1s3wBeP1u01Y9D4yufT2Eg//ZDJiAsabpQncplm9erVwvqB+I4B96vZsfTwYce/V16p2xLq5ZUKn25zjD154oZ+PD7mIhRFaezXqW+9+xg7rvL5NDbSTz9kmcYD50KZxmq1EhkZKWxmL7pjSPiNG6fbOiOHS86SllPM7SMcY0Rq/cJbYbLUG+JWuBO6Jhi2R6SGkIifH5F+xqalfrJMI/Eab2dIGRnRHYPu14Il1O12jV2Hy2o/j4tpU5uI1NBq/9fw+kjn5d0vGGj4RKSGoMfPz0g/YxMoP5mMeIHI+yokJycL6wfiO4aEn7uxJE1MbbTbNZ5etYtJizL4evdRl+colRWcXfM0puIcxxLvghES8fMj0s/YBNLP5zKNqqosW7aMb7/9lqKiIux2u9PX161bp2sDg8m5UKZRFIWwsDAhuxhBfEej+ql2jSc+2cFn245gNsG/fjeI3w5tvNO3pmkoR/cStvsjTL9+GixiTQ81avy8RfoZm5b66b7OSH0effRRli1bxo033siAAQOEDMC5RM2DJjKiOxrNz6bamfPRDr7Y8QsWs4lXpgxmwqBudScUZMHZYug3DgAluidh1z0rTFmmIUaLn69IP2MTKD+fyzQffPABH330ER9++CELFizglVdecfoQEZG74FJSUoT1A/EdjeZXpdh5ZEU2X+z4hTCzidemDnFORPK3wNvj4NMZUJxrOD9fkX7GRvrph89lmm7durF+/Xouuugif7UpZJDLwUsk+lGl2Hn4va18s7eIcIuZRXdcxnX9uzifpCrwziRoHQMTkxx7zEgkEkPi19k0f/jDH3j11Vc5l2YEi+qqaRqnTp0S1g/EdzSSXyuLiS4dIokIM7Nk2uV1iUj50brFyyxhMPUDuPX/ILKDofyag/QzNtJPP3xORjZu3Mh7771H7969GT9+PJMnT3b6EIGGi56J3AWXnp4urB+I72gkP5PJxPMTB/DFI1fxq4vOd7y472t4bThsfr3uxIh2teNDjOTXHKSfsZF++uFzmebee+/1+PW33367RQ0KJWSZRiJpGacrFRanHeSRX/ehlcXF3z5b3oCvnoQeiTDtCzCLudW8RHIu4tfZNCIlG97ScPqyKNjtdkpLS4mOjsZsFnPJGdEdA+7nw+68ZRU27nk7k+z8Uo6VWXn5dwMbnzT8fohoDwN+5zIRkfEzNtLP2ATST7zvnh9QG+67IQiqqpKVlSWsH4jvGBC/jAzHku/nnw9XXw0pKXDkiGMJ+NGjHV9vQMmZKu5cuoXs/FKiWrfizit6OL7wSzZ8OrNuTxmTCQbfDmHhLm8t42dspJ+xCaSfV2Wayy67jG+//ZaYmBiGDBnicW2Rbdu26drAYCLLNJJznowMR8JRf1fe+rjYg6b4dCV3Lt3CT0fL6dg2nHenj6B/tw5gq4AFCXDmOFwzF371ROA8JBJJwNG9TDNx4kQiIiIAmDRpUstbaDBELtMUFxfTqVMnIbsYQXxHv/vNm+c+EYFGu/MWnbJyx9It5Bad5vz2EayYMYK+Xdo7vtiqNYx/FbLfg+Ezvbq9jJ+xkX7GJpB+XiUjzz77rMvjcwWRk5Hdu3czatQoIf8jgfiOfvfbtct9IgKOnpGEhOq2aNy3PIvcotN07RDJipkj6BV2Ao4XwvnV6xJdfCP0+43Xq6nK+Bkb6WdsAunn82yacwlZppGc84wb5xgb4q5EYzI5bYq36UAxf139I29NG0b3sz/CilugTSeYuU4uYCaRnGP4ddEzVVX597//zfDhw+natSsdO3Z0+hARkXtGjhw5IqwfiO/od7+5cx0Jh6V6pkvNX0dRURATA9HRaM8/XzuI9crenVj72Ci6n9cGOvaEVm0c64ZUnWnW7WX8jI30MzaB9PM5Gfn73//O/PnzufXWWykrK2POnDlMnjwZs9nM3/72Nz80MfiI/KAdOHBAWD8Q39HvfomJsH69Y5BqbCxcfz28/jqcOQMlJRywR3Bj19+Q89u7HAmJqmAxV5dg2naCuz+He7+GDhc06/YyfsZG+hmbQPr5XKbp3bs3Cxcu5MYbb6R9+/Zs37699rXNmzezYsUKf7U14MgyjUTigurSTU5MLLdP+QfF7WJIPLSD96q+htFn4ab50HNUsFspkUiCjF/LNEePHiWhesBau3btKCsrA+Cmm25izZo1zWhu6CNy1nvo0CFh/UB8x6D47drFno7duW3qixS3i+GSYwdZuPplCNsDJ3Lhm7/X7TXTQmT8jI30MzaB9PM5GYmLi6OwsBCAPn36kJKSAkBWVlbt9F/REPlBE7neCeI7BsNv5/BrmTr1BU62iSKhMJf3P/gL51WdgfLLYMRDcMfHXs+WaQoZP2Mj/YxNIP18LtP86U9/okOHDvzlL3/hk08+YerUqVx44YXk5+fz+OOP89JLL/mrrQEjKSmJpKQkVFUlJydHlmkkkmq25ZcwbfEmyhW49lgWr+X8h9ZbKhrNqpFIJBJfyjQtntq7ZcsWMjIy6NOnDxMmTGjJpUKOmm/kyZMniYmJCXZzdEdVVfLy8ujZsycWi5gblInu6NHPh31kvOWetzNZv+84o2OsvHXqAcytbLC/Lzy80C+JyDkdPwGQfsampX5+GzNis9m49957OXjwYO1rI0aMYM6cOcIlIvURdSkWTdMoKSkR1g/Ed3TrV7OMe2pqk/vI+MJ/pw7hvsSeLHp8IuZrH4MuCTDtT/D88xAX5xjc2sJ71OecjZ8gSD9jE0g/n3tGoqOj2bZtG7169fJXm0IGOZtGYlhcLVbmYh8Zb8g/cdaxboj1FKBBZJTjC3YVNm6Aa2+oWzK+ZiG09etb3AsjkUiMjV9n09x8882sWrWq2Y0zIiLvyPjTTz8J6wfiO7r1c7WMe4N9ZLzhmz3HuG7+Bj5MToUl18DKh6BmMJvZAi/+y3nvGlV1fD5vXjONGjb5HI2fIEg/YxNIP6/2pqlPnz59eP7559m0aRNDhw6lbdu2Tl+fPXu2bo2T+J+KiopgN8HvhJyjzmM5XPolJMDRo417Rqqn5XvDV7sKeeT9bBS7xsFfjqOV5mOyVUB5IUTFOk7SKenxRMjFT2ekn7GRfvrgc5mmZ8+e7i9mMjmNJzE6skwj0Z2asRz+Lmu4u4+XM15Wbz/CnI92oNo1JgzqxvxbBxF2IBW6XQbtzq87UcdykEQiEQu/lmny8vLcfoiUiNRH5C643bt3C+sHIeg4b56uZQ23fg2XcR8zxutE5JOth3nhw+9IssxnRkIrXpkymDCLGS66wTkRgcZ719QkPc880ywfr/0EQfoZG+mnHz6XaepT06li0mmBI4lEeAJQ1qglMdHn3on3M/P5y8pdvBm2hF9btnODkoTJfL3ne6xf71x2euYZud6IRCLxCZ97RgDefPNNBgwYQGRkJJGRkQwYMIClS5fq3baQQcT54+DwGjBggLB+EIKOCQl1vQg1+DiWw/mt+vpVVKloGuxIeBqtx5WYbvxP02+qSXoOH3b8q2MiEnLx0xnpZ2ykn374nIw888wzPProo4wfP56PP/6Yjz/+mPHjx/P4448zd+5cf7Qx6IjcBZednS2sH4Sgo85lDd38Kk9DXjr3XdWTFTNH8NgtYzDd+xV06tOy67aQkIufzkg/YyP99MPnMs3rr7/OkiVLmDp1au1rEyZMYODAgTzyyCPM02lKnyQwtG7dOthN8Dsh5eiHskZL/VZv3M5N2x/AUvozTE/lyt4DW3Q9vQmp+PkB6WdspJ8++DybJiYmhszMTPr27ev0ek5ODsOHD6e0tFTXBgYTOZtGYmiamEKsaRqvfJPLf7/dx8cdXmVoeD6mKe9C/PAgNloikYiCX2fT3Hnnnbz++uuNXl+8eDF33HGHr5czBIqiBLsJfkFRFLKysoT1AwEcMzIc02fdLLXu1q+J5eA11cbLS1NZ+G0uGmZ25QzEdNl/HIlIE/cMJIaPXxNIP2Mj/fTDqzLNnDlzao9NJhNLly4lJSWFK664AoDNmzdTUFDA3Xff7Z9WBhlRZwuZTCZiYmKE9QODOzZcK+ToUfjmG6c1Sdz6uZpCbLHAvHloHy/n54WTCTtzMXAzf/1mMfduXwPv/RcWLoTZsz3eM5AYOn5eIP2MjfTT8V7elGmuueYa7y5mMrFu3boWNypUkGUaSVBpyYJicXGOHpEG2M0WPn34Nm457wvKtdZ8/XUCt2R+U3ftmBgoKZGLmEkkkhbjy+9Qr3pGvvvuO10aZlRE7oLLzMxk+PDhhIW1aMmZkMXQjl6sSeLWz9Vy8MA/r76T/7W9hXxbBJeu31eXiNRc++TJur1n3NwzkBg6fl4g/YyN9NOPZq0zYjRuvvlmYmJi+N3vftes95vNYn6bzGYzsbGxwvqBwR29WJPErV/9KcRhwKhwsMAtu76ha3kxvVYdZOymjMbX7tix6XVQAjimxNDx8wLpZ2ykn374PJvGiHz33XecPn2a5cuX88knn3j9PlmmkQSVFu4vUzub5vw06BUGW6vgSytnW0XQxlbpOMdicb72f/8Ljzzi/p6B2ltHIpEYHr/OpjEi11xzDe3bt2/2+0Uu06SlpQnrBwZ39GJ/GY9+iYlUfbGG16LupbLCArttAI5ExGKBESMaX/vBBz3fU+e9dZrC0PHzAulnbKSffoR8MpKWlsb48ePp1q0bJpOJVatWNTpn0aJF9OzZk8jISIYOHUp6erqubRC5C653797C+oEAjk0ste7Sz65C2WGsNpUH393Kv9uO4+rKBZw61sbx9ZrejPnzXV/b0z0DubeOOz+BkH7GRvrpeC+/36GFnDlzhkGDBvHaa6+5/PqHH37IY489xtNPP012djZXX30148aNIz8/3+d7VVZWcurUKacPqNsQUFXV2mVx6x8riuJ0bK8eAOju2GazOR3XXL/mWNO0Rsc17ag5ttvtTsc1mau7Y1VVnY5VVcVsNtO1a1eXfkZ1anisaRpdu3bFbDYL41T/2G63O/nZz5yAFbdif2scj731Let+KiKylZl//SqeDr9KxNarF/brr4cNG7ANG+a7U0IC9latsEVGOu5vNqO0bet4XSen+nGy2+1ccMEFdX4GjZO7Z8+dn5Gd3PmJ4lT/WFVVJz8RnOrHSVVVunXr5uTnq5O3hHwyMmImN1YAACAASURBVG7cOObNm8fkyZNdfn3+/PlMnz6dGTNmcMkll7BgwQLi4+NdLszWFC+++CJRUVG1H/Hx8QDsqv6rb+/evezduxeAnTt3kpubC0B2djZ5eXkAZGZmUlBQAMCmTZsoLCwEHD08xcXFAKxbt652pdqUlBTKy8sBSE5Oxmq1oigKycnJKIqC1WolOTkZgPLyclJSUgAoLS2tnUZdXFxMWloaAIWFhWzatAmAgoICMjMzAcjLyyM7OxuA3Nxcdu7ciaIorF27lh9//FEYp4Zx2rFjBykpKSiKIoxT/Tht3bqV1NTU2lHvh4/8gr34AFVlRyk/tI024RZmDwrjksRL4auvWLdoEaXvvgtXXtk8p7lzKe3bl3VJSQ6nIUNIe+kleOYZ3Zzqx2nLli218TNynNw9exkZGbXxE8Wpfpw2bNjAN998g6Iowjg1jNO3336LoihCOdWPU038muvkNZqBALSVK1fWfl5ZWalZLBbts88+czpv9uzZ2qhRo5xe++6777Tf/va3Hq9vtVq1srKy2o+CggIN0IqLizVN0zRFUTRFURod22w2p2NVVT0eV1VVOR3b7XanY7vd3uhY0zSnY1VVnY5tNpvHY0VRnI4VRdFUVdUKCwtrryOCU8PjqqoqrbCwsPZ9IjjVP66srHTyKzlj1R579V1t7J+StEv/+pWWlXdCf6f0dK1q/HhNi43V1HHjNNvGjbo61Y9TQz+jxsnds+fOz8hODf2OHj1a2xYRnDz5ieBUP05Wq7WRny9OZWVlGqCVlZVpTWGo2TQmk4mVK1cyadIkAH755RdiY2PJyMjgynp17RdeeIHly5ezb98+AG644Qa2bdvGmTNn6NixIytXrmTYsGFN3k/OppGEPDYrfP0U9PsNXHQDC7/NZX5qDh0iw/i/6SMYHB8d7BZKJJJzlHNuNk3DpWo1TXN6be3atRw/fpyzZ89y+PBhrxKR+vha+zIKNpuNtWvXCusH4juq3yfB1mVoKx+EynIeHt2b20d0Z8XMK4RIRESPn/QzNtJPPwydjHTq1AmLxcLRo0edXi8qKqJLly7Nvm5SUhL9+/evTVosDReBEgSLxcKwYcOE9QPxHU0jZ3E2fjTqpMUQ0Z4wi5kXbk5gwM+7Q2azu5Ygevykn7GRfvph6GQkPDycoUOHkpqa6vR6amqqU9nGV2bNmsWePXvIysoCxJ7a27FjR2H9QEBHux1+Snas7QEcr4AJZXP4887O2O3VFdcmduw1EsLFrwHSz9hIPx3v5fc7tJDTp0+zfft2tm/fDjhGEm/fvr126u6cOXNYunQpb731Fnv37uXxxx8nPz+fBx98ULc2iNwFt2bNGmH9QDBHTYOP7oIPpsLWZfxSWsGt//ue/UWnSc89TvHp6lVVA7wwmT8RKn4ukH7GRvrpR8gPYF2/fr3LXYOnTZvGsmXLAMeiZ//85z8pLCxkwIABvPLKK4waNarZ90xKSiIpKQlVVcnJyaG0tJSoqKhmXy9U0TSN8vJy2rdvL+wW2MI5blwA373AyWteYkLGhRwuqaBbVAQf3D+S7ue1dZzjZsdeYmMdC5kZCOHi1wDpZ2ykn2d8GcAa8slIMJGzaSQhgVIFYeGOY03j8IHd3PpxEb+UWbnwvDa8N/MKYqNb150/bpyjNFN/pVSLxbG0+1dfBbbtEonknOWcm03jb0Tuglu9erWwfmBwR6UK1vwBVtziWOId2H/8DJM/PMYvZVZ6n9+Wd++7nB82pDj71d+xF+qWf3/mmSBItAxDx88LpJ+xkX76IXtGPFCT1YlcprFarURGRgrZxQgGdyzOhTdGge0s3LUKel/Dd/uKuP//fqBXp3a8O2MEndqFu/ar2bF31y5ISHAkIi0Y1B0sDB0/L5B+xkb6eUaWaXTiXEhGFEUhLCxMyP9IIIDjj6sgLBL6ja19KS3nOANio+i4PQtt3jyU3FzC+vbFNHeuY5M7gTB8/JpA+hkb6ecZWaZpIQ3XGanZlEg06u8xICoh45iR0fS6H5oG3yfBiQN1r106iZ1tr+DQiTO1L4266Hw6bs+C0aNRNm4k+T//Qdm4senpu960IcQImfj5CelnbKSffsieEQ/InhHjExKONet+1Ey3rRnDsX69c0/G+pdg/YvQ+VKYuQ5aRbL10EmmvZVFVOtWfPTgyLqBqtWDVDVVRWndmrCKCkyeBql624YQIyTi50ekn7GRfp6RPSMSrxE1o69P0B29XffjsmnQIQ6G3QdhEWw+eIK73szkdKVCXExrolq3qjt31y7HdUwmlDZtHImFqjpeb0kbQpCgx8/PSD9jI/30QSYjXiDqw1az7bWofhAijjWJQ31qEoeSn+te63ABPPIDDJvBxv0nuOftTM5WqVzdtxPL7h1Ou4iwulJL9XbfSmQkKW++iRIZ6ejtSEjwvQ0hTEjEz49IP2Mj/fRDlmk8INcZkeiCq3U/wixwXx+ILYZ7kyF+eO2XvvupiAfe3UqVYueafufz+p1DiWxlaVxqaYjFAmlprmfNyLVHJBJJgJFlmhbScACrqPmapmmcOnVKWD8IEUdX635ggsG9wW6DQ5tqT92YW8z97/xAlWLn+v5deOOuyx2JCDQutQCa2cyp+Hi0mr0j3HkadO2RkIifH5F+xkb66YdMRlzQcKM8kbvg0tPThfWDEHFMTHQMFB0zxrEk+5gxsGED3PcB3P4xXPVY7amXdutA7/PbcePAC0i64zLCw+r9F3VRalEiIkh/+WWUiAjHC+7GgLhrQ4ivPRIS8fMj0s/YSD/9kGUaD8gyjUQ3NA22/A/OFMO1nnsjSs9W0S4ijDBLg78VXJVaGmLA/WckEomYyDKNztjt9mA3wS/Y7XZOnjwprB+00FHPdTkOZ8HXf4L0f0NBltOXPsoq4J3Nh2o/j24T3jgRgcalFsBuNnOyXz/sZrPnAawGRfRnVPoZG+mnHzIZ8QLV01+iBkZVVbKysoT1gxY41gwWTU117ICbmtr0omKeiB8OiY/C2Jcg7vLal9/dfIgnP93JM6t2k/XzSc/XqF9q6dQJTCbUyEiynngCtXVrQ4wB8RXRn1HpZ2ykn37IMo0HZJnmHEaP2Se530D3KyCincsvv7Uxj+e+3APAvYkX8teb+vu2sJAg+89IJBIxkWWaFtJwNo3IXXBFRUXC+kELHFu6LsfGBfDeb+HzR1zOcPnfhgO1iciDv+rteyICkJiIfc0airZtw75mjZCJiOjPqPQzNtJPP2Qy4oKGs2lEftB2794trB+0wDEhwWlsBuDbmIz4EWAOg/YXgOZ874Xf5vLSVz8BMPvavjw1tl+zl5IWPYbSz9hIP2MTSD9ZpvGALNOcw7jby8XTdFilEsIi6j4/eRA69nI65fsDJ5i6ZDMAf7z+In7/675+EpBIJJLgIss0OiNy1nvkyBFh/aAFjr6sy6FpkPUmvHY5lB+re71BIgIwsvd5PPLrPvzlNxfrkoiIHkPpZ2ykn7EJpJ9MRrxA5AftwIEDwvqRkYF94kQOfPQR9okTfZ8Jk5joGKx6+LDjX089IpmLoTQftr7d6MuapmG11Y0/+cP1/bh/VG/f2uIG0WMo/YyN9DM2gfSTZRoPyDKNgXFXZlm/3pFk6E1xLuSshZGzHPepxm7XeHrVbvKKT/P2PcNpHW7xcBGD0HAWz9y5/vmeSiQSQyPLNDojctZ76NAhMf2q93Gxm0wcuu467CaTIzFxt1y6r+SkwN4v6j7v1Beu/L1TIqLaNZ76dCfvZ+azJe8km/NO6HPvegQ8hnqvv9IEQj+jSD+jI/30QyYjLjiXpvYKW++snpprt1g4kpiI3WLxbWquJw6sgxW3wMoH4cQBl6coqp05H23n462HsZhNLJgymGv6dW75vRsQ8Bg23KxPVfVN8hog9DOK9DM60k8/ZJnGA7JMY2D0WLTMHaoC70yC8/vBDS84z6ABbKqdRz/IJnnXUcLMJv47dQjjEi5o/v1CqSwSF+foEWmI3BNHIpE0QJZpdEbkpX73798vpl/1Pi5qRAT7J0xAjYho2XLpJw7ULV5mCYM7P4Ub/9MoEalUVB56dxvJu44SbjHz+p1DW56IeCiLBDyGLV1/xUeEfkaRfkZH+umHTEa8QNTOI03TKCkpEdOvemquNmYMJYMHo3mamtsU21fAopHwfVLdaw2SkBqOlFSQ9fNJwsPMLL57KGP6d2mmQDVNlEUCHsOGm/XVDAz20544Qj+jSD+jI/30Q5ZpPCDLNBIAMpdA8h/h4ptgyrtOg1RdsetwGaesNhL7dGr5vUOxLCL3xJFIJF4gyzQ6I3IX3E8//SSsH+jkOGwGTHkPbn3HZSJyulJh1+Gy2s8T4qL0SUSgybJIUGLo7forOiD6Myr9jI300w+ZjJzjVFRUBLsJfqfWMSPDMbA1Ls7xr7vpqAfWwfu3g2pzfG4ywSU3gbnxf5eyCht3vbmF2xZ/z7b8Ev0b70VZRPQYSj9jI/2MTaD8ZJnGA7JMIxDeLoJmPQWvDoSKEhjzPCTOdnvJ0rNV3P1WJjsPlxHVuhXvTB/OwLho/7RdlkUkEonBkGUanRG5C2737t3C+kE9xxdf9G59jMgOMOl1uOxuGH6/2+ueOF3J1CVb2Hm4jI5tw1kxc4R/EhHwWBYRPYbSz9hIP2MTSL8wv9/BgCQlJZGUlCTsA3ZOsnu385ojULcI2tHdYLZA50scr/cb5/hwQ1G5lTuXbiHn2Gk6tYtgxcwRXNSlvR8bL5FIJGIjyzQekGUagXC3CNpvh0FCHkTFwszvHD0jHjheXsmUxd9z8PgZunSIYMXMK+h9fjs/N14ikUiMhyzT6IyoPSSqqpKdnS2sH9RzfPpp1wNBH/ortDkPoruDXWnyeh1ah9GjYxtio1vz0QMjA5+INBiEq27cKHQMRX9GpZ+xkX76Ics05zitW7cOdhP8R0YGvPACrWNjHWt1LFwIn38Oe3ZC/4F1A0EHXwodYh2lmiaICLPw+p1DKTlbxQVRAf7eNRyEe/QorF9P69WrA9uOACP0M4r0MzrSTx9kmcYDskxjYNzNnvlsIeS8Cje/Ab1+5dWlDh4/zRc7Cpl9bR9MTSx41qx2ervvjD/325FIJBKdkWUanVGUprvvjYiiKGRlZYnpV72MumKxkPXEEygWiyMx+Wo+lBfCxvleXSb3WDlTFm/mlW9yWJqep28bm9h3phHVOxHXR7FYyBo+XMwYIvgzivQzOtJPP2Qy4gW6/zUcIphMJmJiYsT0q/7FbbLbidm3D5Pd7vhFvuYs/OopuO39Ji+xt/AUty3ezPHySi7u2p6bL4vVt41N7DvTCBersZpMJmKsVjFjiODPKNLP6Eg/He8lyzTukWUaA1NT0ojR4OIw2FjlU0lj95Ey7nxzC6VnbQyI7cA7940gpm24vm30dd8Zd6Wn5m4AKJFIJH5Elml0RuQuuE2bNonpN3cutDWhzWgL10aiXtbW691ls/NLmLpkM6VnbQyOj+a9GVfon4hAk/vONKJ6J2LGjHEkLGPGoKxfzybkM2pUpJ+xkX76IZMRLzC72JNEBMxmM7GxsWL6JSZC8noo7o71TEdMcSO96kEoq7Ax7a1Myq0Kwy6M4Z3pw4lq3co/bfRi35lGNFiN1TxypLgxRPBnFOlndKSffsgyjQdkmcaAlB+DsAhoXb00u716HIbF+1nsK7MP8+nWIyy+eyhtwv08+13uOyORSARFlml0RuQuuLS0NHH8CrLgjVGw8kGw2wFQ7BppGU13M6r2upz85iFx/N99w/2fiIDHfWe8QbgYNkD6GRvpZ2wC6SeTES8QuQuud+/e4vhZwhy77ZbkwdkTgHeO3+49xo0L0yk6Za19zWz2cvR4gxVR3U7L9RPCxbAB0s/YSD9jE0g/WaZxQf2N8nJycmSZxkgcXA+xl0OEd8u0f727kEfez8amasy8uidP39jf+3u5m92yfr37hcskEonkHEGWaVrIrFmz2LNnD1lZWYDYZZp169YZ1+/EAVh2E5Tm173Wa7RTIuLJ8YsdvzBrhSMRGT+oG0+Ovdi3+/u6TogfMHwMm0D6GRvpZ2wC6SeTES8QuQtuwIABxvX78jH4OR2Sn3B7ijvHT7ce5tEPslHtGpOHxLJgymBaWXz8PrhYERVVdbweIAwfwyaQfsZG+hmbQPqJ+R3UGZEftM6dOxvXb8Jr0O9GGP+q21NcOX6Qmc8fP9mBXYPbhsXzr1sGYfF2jEh9fF0nxA8YPoZNIP2MjfQzNoH0E/M7qDM2my3YTfALNpuNtWvXGsfvTDHkflP3eUwPmLoC2nd1+5aGjlabyuL0g2ga3D2yBy/cnNC8RASat06Izhguhj4i/YyN9DM2gfSTA1g9UDP4pqSkhOjo6GA3R3fsdjulpaVER0eHfmZfdhjevAHOHIfpKdBtsFdvc+VYWFbBZ9uO8PDo3i3fcyHI64QYKobNQPoZG+lnbFrq58sAVpmMeEAuehZC2O3w/hQ4eRCmvAudL/Hp7TnHyrmoS3s/NU4ikUgkDZGzaXRG5C64NWvWhK6fzVq7eBlmM0xeAjPX+ZSIVFVV8fCiNYxdkMYXO37xU0ODR8jHsIVIP2Mj/YxNIP1kMuIFYWEBWIkzCISFhXH11VeHpt/JPHjzOkj7V91rraMhMsrrS2iaxoJ1B0nOB7sGh0sq/NDQ4BLSMdQB6WdspJ+xCaSfTEa8oMXjCkIUk8lEhw4dQtOvYAsc3QVZS8Ba5vPbNU3jH2v2smj9AQDm3ngJD43urXcrg05Ix1AHpJ+xkX7GJpB+MhnxApG74FavXh2afoNug+v/Afev96k3hP9v787jYzr7/oF/ZpFEiFhaWyJBrZGQSpPaK0qLKrH82nqeEkXxVIvSX+lN1x93n2rv6l2iqkrUjQa30Ju0aIUQFbGkQhJBLUkEzR5kkjnnXL8/RkYmy2SWk8xcJ9/36zUv55w5c871cSbxdV1nASBJDB/+dBEbjl8DAEzqJCK8Xwf52+gEnPoYyoDy8Y3y8a0+89EJrGaUn3xTUFAAT0/r/kHkAWMMOp0Obm5ujq/sH+QBcV8Az34ANHKzeTOSxPC36GT8mJgBlQr4+/gAhAU87hwZ64BTHcM6QPn4Rvn4Zm8+a05gVeZAF7GYU4x1MgZsnQRknQGEEmDMKps3pVIBbo00UKuAzyf1wYS+Xoq9VXM5pziGdYjy8Y3y8a2+8tEwjQWU+o+ZIAiIiYlxfD6VytAj0vIJIOg16z5b6am5qhMn8OGLftj9xkBMDPJ2nox1hPLxjfLxjfLJh4ZpzGgIwzSCIECr1dZ/F6NQChRlAS07P1om6gFNI8u38fCpuWUqDb7vOwbTz+2DqySaPDXXoRnrAeXjG+XjG+Uzj+4zQizmkIq+KBvYOBLYPM5wrkg5awoRAFi+HDq1Fv8zdjE+G/oaFo2cX+1Tc5X6v5ZylI9vlI9vlE8eVIxYQKlfNkEQcPDgwfrP5+IO6AqAsmIg96rNmylJScPrYX/Db11C4KovxUvnD1V5aq7DMtYTysc3ysc3yicfxQ/T7Nu3D4sWLYIkSVi8eDFmzpxp8WfpdvB16G4a0Kix4WF3NnhQJmDG29/jdw9vNC7T4ft/f4wBN5MND6sbMQL4+WeZG0wIIcQaNEzzkCAIWLhwIQ4fPoyzZ8/is88+Q15eXu0frESp9RpjDEVFRXWfT1cI/PjfwKVfHi1r3cPmQqRYp0f4xlP43cMbTUsf4Id/f/SoEKn01Nx6y+gglI9vlI9vlE8+ii5GTp06hV69esHLywseHh4YPXo0Dhw4YPV2lNwFd+zYsbrPd3IdkLYP+M88QG/jLdkfXjXDvL3xxqINSLyeDw83LbY82xrBft6Al5ehR+ToUZOn5ppkrHTlDeLjZQroOPV2DB2E8vGN8vGtXvMxJ3b06FE2ZswY1q5dOwaARUdHV1knIiKCdezYkbm6urK+ffuyuLg443s7d+5kc+fONc6vXLmSff755xbvv7CwkAFghYWF9gVp6PSljO18jbHMM7Z9/vhxxrRaxjQaxgB2ysef9f+fTez8viM2b4NpNIb548dtaxMhhBCzrPk31Kl7Ru7fv48+ffpgzZo11b4fFRWFBQsWYOnSpTh37hwGDx6MUaNG4ebNmwCqH14xd3lSaWkpioqKTF7Ao9vBi6IIURSrTAuCYDItPXzSbE3Ter3eZLq8neXTjLEq0+V5yqclSTKZLq9ca5oWRdFkWhRFSJKEnJycavPZlUl3H+yPKKA8h6YR2MTvoW8dYFumv/8dehcXQBQhabV48s5lxH4/B35rV1bJVHlar9cjJycH0ooVEBo1gvjw+AtaLSSNBli+3OmPk7npsrIyQ76H2+Dlu2duuuJ3z5J8vGWq2Paa8vGcqXK+3NxcY1uUkMlcPiVkqnicSktLq+SzNpOlnLoYGTVqFJYvX44JEyZU+/6XX36JGTNmYObMmejZsye++uordOjQAd988w0AwMvLC1lZWcb1MzMz0a5duxr39+mnn8LT09P46tDB8DyTCxcuAABSU1ORmpoKADh//jwuX74MADh37hyuXTM8B+XUqVPIyMgAAJw4cQLZ2dkAgLi4OOTk5AAADh8+jIKCAgDAwYMHUVxcDACIiYmBTqczudGMTqdDTEwMAKC4uBgHDx4EABQUFODw4cMAgJycHMTFxQEAsrOzceLECQBARkYGTp06BQC4du0azp07BwC4fPkyzp8/D1EUcfLkSaSkpMiXSRJRFDEMquhZwOmNsmRKdmmKF97ehJTHOyFj6FCcWrIErmWluNaqVZVM1R2nkydPQrx0CefefBPXRo82ZFqyBBmDBwPJyU5/nGr77iUkJEAURa6+e7VlKv/uJSYmGvMpJVPF4/T777/j1KlTEEVRMZkqHqdjx44Zj59SMlU8TrGxscbjp5RMFY/Tr7/+asxnayaLWdvt4iioNExTWlrKNBoN2717t8l68+bNY0OGDGGMMabX61mXLl1YZmYmKyoqYl26dGE5OTk17kOn07HCwkLjKyMjgwFgeXl5jDHGBEFggiBUmdbr9SbToiianS4rKzOZliTJZFqSpCrTjDGTaVEUTab1er3ZaUEQTKaryyFXJuHoP5j0d2/G0mLsznSr4AF7ZsG/mO/ifWx0+FdM0GqZ3tWVMY2GCaNHW55p5Eimb9yYCVotYwDTu7oy0dXVsLyBHifKRJkoE2Wqy0zWDNNwW4xkZWUxACw+Pt5kvRUrVrBu3boZ5/fu3cu6du3KnnjiCfbtt99atc/yv8j8/Hz7Gu+kRFFkd+7cMX7xbCZJjJXeM50vzLJvm4yxm7n32aDPfmO+i/exAXM2shst25ue71Hp2FfHmPHYserPGbFgG85MtmPopCgf3ygf3+zNp5hzRixR+RwQxpjJsrFjxyI9PR1XrlzBrFmzbNpH+fiZ0kiShAsXLtiXr7QY2BkObJ8MSIZxSahUQLP2drXtRu59vLL+JDLySuDbyh07JnSBT0jvGq+aqYkxY79+htvEjxhh9TacmSzH0IlRPr5RPr7VZz5ubnqmUqkQHR2NsLAwAIYTh9zd3bFz506MHz/euN78+fORlJSEo0eP2ryviIgIREREQBRFpKen003PzPnrErA+FBDLgNdigA4hdm/y6l/38F/fncSdolJ0frwJts3sh7aebjI0lhBCSH1pEDc9c3FxQVBQEA4dOmSy/NChQxhg5/92586di5SUFCQmJgJQds9IVlaWffke7w5MWC9bIQIAqw6l405RKbq2boofZ9lXiMiS0YlRPr5RPr5RPvk4dTFy7949JCUlISkpCYDhLOKkpCTjpbsLFy7Ehg0bsHHjRqSmpuLtt9/GzZs3MWfOHFnboeQv2tWrV63LJwrAb5+YPlOm5xjZChEA+Gxib0wO6YAfZ/VDaw/7ekRsysgRysc3ysc3yicfpx6mOXLkCEJDQ6ssDw8PR2RkJABg7dq1WLlyJbKzs+Hv749Vq1ZhyJAhdu2XhmnMOLAU+H0N0LoXMPuo9U/arcHtQh0NxRBCiIJYM0zj1MWIo5X/Rebn56N58+aObo7sJElCRkYGOnToALXawk6y4ttA5AvAsx8AfuNkaceZG/mYtvEUZg3pjLee7SrLNsvZlJEjlI9vlI9vlM+8BnHOSH1SchdcreOBjAG3Lzya92gLvJEgWyGS8Gcupn6fgOJSAceu5EAvyvt3TWO6fKN8fKN8fKvPfNQzYoY1VZ0iCWXA3rnAxd3AtBjA52lZNx9/JQczNidCp5cwsEsrfDf1Kbi7aGXdByGEEMegnhGZld/XX2lEUcSVK1dqzqdpZLhklzHgrzRZ933k0l1MjzQUIs90exzfhwfXSSFSa0bOUT6+UT6+UT75UDFSjYiICPj5+SE4OBhA9Q/cUwLGGPLz86vmK59XqYBxa4DXfgaCwmXb76GUO5j1wxmUChKG92yD9VOD4NZII9v2K6oxo0JQPr5RPr5RPvnQMI0ZDW6YRhKBw8sBJgIjPqmz3fzr5A0s23MBowPa4quXn4SLlmpiQghRGhqmkZmSu+DS0tIe5bsRDxz/Eoj/J3A7uc72+2o/X2x6LRhfv1L3hUiVjApD+fhG+fhG+eRDZws2cCUlJY9mOg0BhrxruKtq2wBZ9/PLhWw83akVWjRxAQCEdm8t6/bNMcmoQJSPb5SPb5RPHjRMY4bih2kYA5J3Ad1HAa5N62w32xJu4m/RyfD3aoaoWf3RxJVqYEIIUToaprFT5RNYldoFJx36ENg9E9LeuY9OWpVZZPw1/C3aMOTzlG9LuLvUzYmqNRFFERcuXFDsMaR8fKN8fKN88qFipBqVH5SnVKzbSEhqF6Bt7zrZ/vq4q/joPykAgFlDOuPDF/2gUqnqZF+EEEL4RcM0ZihymEZXBLhVyFJ823BXVZlFxF7B5wcuAQDeDO2CRc91o0KEEEIaEBqmkZkiuuAkCTjyv0BEUcCshgAAGgZJREFUiKEAgSHXuSvZsufbcOxPYyGycEQ3vPN8d4cVIqIo4ty5c8o4htWgfHyjfHyjfPKhYqShEHRAyl6gOBu4GG1c3LhxY9l3NcKvDdo2c8OSUT0wT+YH39miLjI6E8rHN8rHN8onDxqmqUZERAQiIiIgiiLS09OVM0yTexXIOAUETq7zXRWW6OHZuFGd74cQQohzomEaO1U+gVUQBAe3yEbntpr0gqDVEyaFiCAISExMtDufJDF89NNF/JZ6x7jMWQoRuTI6K8rHN8rHN8onHypGLMDliZep+4C9bwB75gJ516pdRaVSoUWLFnblEyWGxf8+j8gT1zF321ncLdbZvK26IEdGZ0b5+Eb5+Eb5ZNwXDdPUjOuraUQB2DoR8BkADPm/gFr+ulMQJbyz8w/sSboFtQr48qVAhD3pJft+CCGE8IeGaWTGTRdc9vlHNy/TaIFXdwNDF9dYiAiCgBMnTtiUTy9KmP9jEvYk3YJGrcLqyX2dshCxJyMPKB/fKB/fKJ98qBixgLoOehVkd2I1sP4Zw5/l1ObvdqpWq+Hl5WV1vlJBxNytZ7E/ORuNNCp889998ULvdkB8PDBqFODtbfgzPt6WJLKyNSMvKB/fKB/fKJ986CEhFuDii9aoMcAkIO+qoXfEgjE+tVoNX19fq3e1PeEmDqbcgYtWjW9fDUJoj9aGwmPoUMO+RRG4fRv49VfgyBFg4EDr88jE1oy8oHx8o3x8o3wy7qte9sI5p+2Cq3i6z1MzgPD/AC/+06JCBDDkiouLszrflP4d8UpwB2wMDzYUIgCwfPmjQgQw/MmYYbkD2ZqRF5SPb5SPb5RPPlSMVKPyg/KcsmckeRewJQwQygzzKhXQaYhVm1Cr1XjiiScsyvegTIAgSgAAjVqF/53YG4O6PlahPcmPCpFyomhY7kDWZOQR5eMb5eMb5ZMPXU1jhtNeTfMgD/g6ENAVAqO/AEJer9PdFen0eG1TIjq0aIx/vBQIjbqanpdRo4BDh0wLEo0GGDEC+PnnOm0fIYQQ50NX08jM6brg3FsC49cDgxcBT023eTOCIODw4cNm8xU+0GPKhgScuZGPw2l3kZH3oPoVly0z9M5oHp40q9EY5t9/3+b2ycGSjDyjfHyjfHyjfPKhYsQCTtkF130k8OwHtV4xY45arYa/v3+N+fLul2HydyfxR2YhWrg3wrbX+6HjY02q39jAgYaTVUeMALy8DH8ePQoMGGB9w2S8Kqe2jLyjfHyjfHyjfPKhYRoznHaYph78VVyKVzck4NKdYjzW1AVbZ/ZD97Yedb/jylfllPewOPiqHEIIIdahYRqZ6fV6RzehTuj1ehw4cKBKvjtFOryy/ndculOM1h6u+HFW//opRADZr8qpKaNSUD6+UT6+UT75UDFiAY3G9qEQZ6bRaBAcHFwl39W795CRV4J2nm6Imt0fXVo3tWyDcgyvyHxVTk0ZlYLy8Y3y8Y3yyYeGacxoyMM0R9P/QufHmqBDS3fLPiDX8ApdlUMIIYpAwzQyU3IX3P79+6HX63Et5z6u/nXP+N4z3R63vBAB5BtekfmqnIoZlYjy8Y3y8Y3yyYd6RqoRERGBiIgIiKKI9PR0FBQUwNPT09HNkh1jDMXFxbhbosJ/bUiASgXsnD0APq2sKELKeXsDWVlVl3t5AZmZ1m0rPt5QxCQnAwEBhkLElqty8Cijh4eHIh/zTfn4Rvn4RvnMs6ZnhIoRMxrCME3a7SK8uiEBOffK0L2NB/4182k87uFq/YZoeIUQQkgFNEwjM6V2wSXdyMXENXHIuVeGXu2bYfusfrYVIoDT3vRMr9dj7969ij2GlI9vlI9vlE8+1DNiRnlVp8RhmqR9RzH1SA6KtG7oc/82fpjQDZ6hg+3bqIzDK3JhjEGn08HNzU2x3aiUj1+Uj2+Uzzxreka0tjaS8Ct5/1G8+ttd3HN1R99baYjc9RGardPZf2OxgQOdckhGq1X215zy8Y3y8Y3yyYOGaSygtOcO+HyzCr4F2QjJvIhXwrqgMey7sZgzEwQBMTExijuG5Sgf3ygf3yiffGiYxgzFDtN4eyM/twiuQhkaNVJDW1ICFWDblS9OjjEGQRCg1WoV241K+fhF+fhG+cyjE1hJFbFpd7H5xHXDTEAAWugfoLFYBsHd/dGJpwEBDm1jXVHq/1rKUT6+UT6+UT55UDFiAd6/bAcu3sasLafx4U8XEXvprvHKF6FJExz8/nsITZo4xZUvdUEQBBw8eJD7Y1gTysc3ysc3yicfGqYxQwn3Gdl3/hYW/JgEQWJ4oXc7fPVyIBpp1E555QshhBDloKtpZMZrvRZ9LhOLdvwBiQETnvTCykm9odU87AwbOBAsJkbRdw8E6A6JvKN8fKN8fKvPfDRMYwEeu+B2JGZg4cNC5OWnOuDz/9PnUSHykCAIOHbsGJf5LKX0jJSPb5SPb5RPPjRMYwavwzQXbxXiha+PAwBe7eeDT8b6Q61WXtVOCCHEedHVNHaKiIiAn58fgoODAQCSJDm4Rdbp1d4Tbw/vhukDO+H/jau5EJEkCXl5edzls4bSM1I+vlE+vlE++VAxUo25c+ciJSUFiYmJAACx4sPfnFiZ8OgLM+/ZLnh/TE+z43yiKCIxMZGbfLZQekbKxzfKxzfKJx8apjGDp2Gar3+7jLj0v7B5egiauNJ5yYQQQhyLhmlk5sxdcIwxfHHgEr48lI7TN/JxKOWOxZ+VJAl379516nz2UnpGysc3ysc3yicfKkYs4KxfNMYYPv05DWtirwAAlo7uibAnvSz+vCRJuHDhgtPmk4PSM1I+vlE+vlE++dAwjRnOPEzDGMPH/0lB5MNbvH88thfCB3R0aJsIIYSQcjRMIzNnq3olieFv0RcQeeI6VCrg7+MDbCpEJElCVlaW0+WTk9IzUj6+UT6+UT75UDFiAWf7omUX6XDg4m2oVcDnk/rgv572sWk7kiTh6tWrTpdPTkrPSPn4Rvn4RvnkQ8M0ZjjzME1KTBz+/GEnxhyPNjxbZtkyYOBARzeLEEIIAUDDNLJzuqo3Ph5+457FmF3fAFlZwKFDwNChhoffWUGSJNy4ccP58slI6RkpH98oH98on3yoGLGA033Rli8HGAPKb0Qjiob55cut2ozSxzsB5WekfHyjfHyjfPKhYRoznHaYxtvb0CNSmZcXkJlZ/+0hhBBCKqFhGpk53a1+AwIAjcZ0mUZjWG4FURRx5coV58snI6VnpHx8o3x8o3zyoWLEAk7XebRsGaBSPSpINBrD/PvvW7UZxhjy8/OdL5+MlJ6R8vGN8vGN8smHhmnMcNphGsBwsury5UBysqFH5P33gQEDHN0qQgghBAAN08jOKbvgBg4Efv7ZcI7Izz/bVIiIooi0tDTnzCcTpWekfHyjfHyjfPKhYqSBKykpcXQT6pzSM1I+vlE+vlE+eTSIYZrx48fjyJEjePbZZ7Fr1y6LP+fUwzSEEEKIE6NhmkrmzZuHH374webPK7kL7sKFC4rNByg/I+XjG+XjG+WTT4MoRkJDQ+Hh4eHoZhBCCCGkGg4vRuLi4vDiiy+iffv2UKlU2LNnT5V11q5di06dOsHNzQ1BQUE4duxYvbZRU/meHgqh0Wjg7++v2HyA8jNSPr5RPr5RPvlo63wPtbh//z769OmD1157DRMnTqzyflRUFBYsWIC1a9di4MCB+PbbbzFq1CikpKTAx8fwtNqgoCCUlpZW+ezBgwfRvn17i9tSWlpqsp3CwkIAQG5uLoBHwzUajcZkWhAEqFQq47RarYZara5xWq/XQ6PRGKe1Wi1UKpVxGgAEQTCZbtSoERhjxmlJkiCKonFakiRotdoap0VRBGPMOF0uOTkZfn5+cHFxUUSmysemrKwMKSkpCAgIAGNMEZnM5VNCporfvdLSUqSmpprNx1umim2vKR/PmWrKJ0mSIjKZy6eETBW/ezqdDmlpaSb5rMlUfvKrRaemMicCgEVHR5ssCwkJYXPmzDFZ1qNHD7ZkyRKrth0bG8smTpxodp0PP/yQAaAXvehFL3rRi14yvTIyMmr9N9rhPSPmlJWV4cyZM1iyZInJ8ueeew4nTpyQfX/vvfceFi5caJwvKCiAr68vbt68CU9PT5u3GxwcjMTERLvWq+m9ysvNzVee/u2339ChQwdkZGTYdbWQs+ZLTExEUVGR3RkpX+3rUb7a5ykf5bO23Zau56z5GGMICgqyaITCqYuRnJwciKKINm3amCxv06YNbt++bfF2nn/+eZw9exb379+Ht7c3oqOjERwcXGU9V1dXuLq6Vlnu6elp1z/WGo3Gos+bW6+m9yovNzdf03SzZs0UnQ+wLyPlq309ylf7POWjfNa229L1nDmfi4sL1OraT0916mKknEqlMplnD8f+LXXgwAG5m2SVuXPn2r1eTe9VXm5uvqZpe1G+2tejfLXPUz7bUL7a16N8tc87Op9T3fRMpVIhOjoaYWFhAAzDNO7u7ti5cyfGjx9vXG/+/PlISkrC0aNH67Q9Sr/pmdLzAcrPSPn4Rvn4Rvnko/noo48+qtM9WOHjjz/GK6+8gh49egAwdBXt378fJSUleOGFF4zrLVq0CCNGjMDw4cPrvE0ajQZDhw41njmsNErPByg/I+XjG+XjG+WTh8N7Ru7du4crV64AAJ588kl8+eWXCA0NRcuWLeHj44OoqChMmTIF69atQ//+/bF+/Xp89913uHjxInx9fR3ZdEIIIYTIwOHFyJEjRxAaGlpleXh4OCIjIwEYbnq2cuVKZGdnw9/fH6tWrcKQIUPquaWEEEIIqQsOL0YIIYQQ0rA5/HbwhBBCCGnYqBghhBBCiENRMUIIIYQQh6JiRCbFxcUIDg5GYGAgAgIC8N133zm6SbLKyMjA0KFD4efnh969e2Pnzp2ObpLsxo8fjxYtWmDSpEmOboos9u3bh+7du6Nr167YsGGDo5sjO6Udr4qU/vOm9N+X5R48eABfX1+88847jm6K7LRaLQIDAxEYGIiZM2favT06gVUmoiiitLQU7u7uePDgAfz9/ZGYmIhWrVo5ummyyM7Oxp07dxAYGIi7d++ib9++uHTpEpo0aeLopskmNjYW9+7dw+bNm7Fr1y5HN8cugiDAz88PsbGxaNasGfr27YuEhAS0bNnS0U2TjZKOV2VK/3lT+u/LckuXLsXly5fh4+ODL774wtHNkdVjjz2GnJwc2bZHPSMy0Wg0cHd3BwDodDrjY56Vol27dggMDAQAtG7dGi1btkReXp6DWyWv0NBQeHh4OLoZsjh16hR69eoFLy8veHh4YPTo0Q5/LILclHS8KlP6z5vSf18CwOXLl5GWlobRo0c7uilcaDDFSFxcHF588UW0b98eKpUKe/bsqbLO2rVr0alTJ7i5uSEoKAjHjh2zah8FBQXo06cPvL298e677+Kxxx6Tq/m1qo985U6fPg1JktChQwd7m22x+sznDOzNe+vWLXh5eRnnvb29kZWVVS9tt4TSj6ec+Rzx81YbOfI58vdlbeTI98477+DTTz+tryZbRY58RUVFCAoKwqBBg2R5NEuDKUbu37+PPn36YM2aNdW+HxUVhQULFmDp0qU4d+4cBg8ejFGjRuHmzZvGdYKCguDv71/ldevWLQBA8+bN8ccff+DatWvYtm0b7ty5Uy/ZgPrJBwC5ubmYOnUq1q9fX+eZKqqvfM7C3rzV/S/TmodL1jU5jqczkyufo37eaiNHPkf+vqyNvfn27t2Lbt26oVu3bvXZbIvJcfyuX7+OM2fOYN26dZg6dSqKiorsaxRrgACw6Ohok2UhISFszpw5Jst69OjBlixZYtM+5syZw3bs2GFzG+1RV/l0Oh0bPHgw++GHH2Rpp63q8vjFxsayiRMn2t1GOdmSNz4+noWFhRnfmzdvHtu6dWvdN9YG9hxPZzxeldmaz1l+3mojx8+jI39f1saWfEuWLGHe3t7M19eXtWrVijVr1ox9/PHH9dZma8hx/EaOHMkSExPtakeD6Rkxp6ysDGfOnMFzzz1nsvy5557DiRMnLNrGnTt3jJVhUVER4uLi0L17d9nbags58jHGMG3aNAwbNgxTpkypi2baTI58PLEkb0hICC5cuICsrCwUFxcjJiYGzz//vCOaazWlH09L8jnzz1ttLMnnzL8va2NJvk8//RQZGRm4fv06vvjiC7z++uv44IMPHNFcq1mSLz8/H6WlpQCAzMxMpKSkoHPnznbtV5mPGbRSTk4ORFFEmzZtTJa3adMGt2/ftmgbmZmZmDFjBhhjYIzhzTffRO/eveuiuVaTI198fDyioqLQu3dv4/jili1bEBAQIHt7rSVHPgB4/vnncfbsWdy/fx/e3t6Ijo5GcHCw3M21myV5tVot/vGPfyA0NBSSJOHdd9/l5koFS48nL8erMkvyOfPPW20syefMvy9rI9fvG2dlSb7U1FTMnj0barUaKpUK//znP+2+Uo+KkQoqj6kzxiweZw8KCkJSUlJdNEs29uQbNGgQJEmqi2bJxp58ALi72qS2vGPHjsXYsWPru1myqS0fb8erMnP5ePh5q425fDz8vqyNpb9vpk2bVk8tkpe5fAMGDEBycrKs+6NhGhiul9ZoNFWq2rt371apDnlE+ZRF6XkpH98oH98clY+KEQAuLi4ICgrCoUOHTJYfOnQIAwYMcFCr5EP5lEXpeSkf3ygf3xyVr8EM09y7dw9Xrlwxzl+7dg1JSUlo2bIlfHx8sHDhQkyZMgVPPfUU+vfvj/Xr1+PmzZuYM2eOA1ttOcrHd77KlJ6X8lE+Z0b5HJDPrmtxOBIbG8sAVHmFh4cb14mIiGC+vr7MxcWF9e3blx09etRxDbYS5eM7X2VKz0v5KJ8zo3z1n4+eTUMIIYQQh6JzRgghhBDiUFSMEEIIIcShqBghhBBCiENRMUIIIYQQh6JihBBCCCEORcUIIYQQQhyKihFCCCGEOBQVI4QQQghxKCpGCCGEEOJQVIwQQuwydOhQLFiwQPbtRkZGonnz5nZto2PHjlCpVFCpVCgoKJBtu0eOHDFuNywszK5tEUKoGCGEKNwnn3yC7OxseHp6yrbNAQMGIDs7Gy+99JJs2ySkIaNihBCiaB4eHmjbti1UKpVs23RxcUHbtm3RuHFj2bZJSENGxQghxG6CIODNN99E8+bN0apVKyxbtgwVn8GZn5+PqVOnokWLFnB3d8eoUaNw+fJlk21ERkbCx8cH7u7uGD9+PHJzc43vXb9+HWq1GqdPnzb5zOrVq+Hr6wt7nveZm5uLkJAQjB07FjqdDgDw008/oWvXrmjcuDFCQ0OxefNmk6EeQoi8qBghhNht8+bN0Gq1SEhIwNdff41Vq1Zhw4YNxvenTZuG06dP46effsLvv/8OxhhGjx4NvV4PAEhISMD06dPxxhtvICkpCaGhoVi+fLnx8x07dsTw4cOxadMmk/1u2rQJ06ZNs7nXIzMzE4MHD0aPHj2we/duuLm54fr165g0aRLCwsKQlJSE2bNnY+nSpTZtnxBiIUYIIXZ45plnWM+ePZkkScZlixcvZj179mSMMZaens4AsPj4eOP7OTk5rHHjxmzHjh2MMcYmT57MRo4cabLdl19+mXl6ehrno6KiWIsWLZhOp2OMMZaUlMRUKhW7du1ajW3z9fVlq1atMlm2adMm5unpyS5dusR8fHzYW2+9VaXt/v7+Jp9ZunQpA8Dy8/NNloeHh7Nx48bVuH9CiGWoZ4QQYrd+/fqZ9E70798fly9fhiiKSE1NhVarxdNPP218v1WrVujevTtSU1MBAKmpqejfv7/JNivPh4WFQavVIjo6GgCwceNGhIaGomPHjla3t6SkBIMGDUJYWBi+/vprk7ZfunQJwcHBJuuHhIRYvQ9CiOWoGCGE1ClWw/kcjDFjEVDTOhW5uLhgypQp2LRpE8rKyrBt2zZMnz7dpja5urpi+PDh2L9/PzIzM2tsV20ZCCHyoGKEEGK3kydPVpnv2rUrNBoN/Pz8IAgCEhISjO/n5uYiPT0dPXv2BAD4+flVu43KZs6ciV9//RVr166FXq/HhAkTbGqvWq3Gli1bEBQUhGHDhuHWrVvG93r06IHExEST9SufOEsIkRcVI4QQu2VkZGDhwoW4dOkStm/fjtWrV2P+/PkAgK5du2LcuHF4/fXXcfz4cfzxxx949dVX4eXlhXHjxgEA5s2bh19++QUrV65Eeno61qxZg19++aXKfnr27Il+/fph8eLFmDx5sl2X1mo0GmzduhV9+vTBsGHDcPv2bQDA7NmzkZaWhsWLFyM9PR07duxAZGQkAMh6eTAh5BEqRgghdps6dSpKSkoQEhKCuXPn4q233sKsWbOM72/atAlBQUEYM2YM+vfvD8YYYmJi0KhRIwCGc042bNiA1atXIzAwEAcPHsSyZcuq3deMGTNQVlZm8xBNRVqtFtu3b0evXr0wbNgw3L17F506dcKuXbuwe/du9O7dG998843xahpXV1e790kIqUrFaDCUEMKRFStW4Mcff0RycnKt63bs2BELFiyw+3b1K1aswLp165CRkWGyfNq0aSgoKMCePXvs2j4hDR31jBBCuHDv3j0kJiZi9erVmDdvnsWfW7x4MZo2bYrCwkKLP7N27VokJibizz//xJYtW/D5558jPDzc+P6xY8fQtGlTbN261aoMhJDqUc8IIYQL06ZNw/bt2xEWFoZt27ZBo9HU+pkbN24Yb6zWuXNnqNWW/f/r7bffRlRUFPLy8uDj44MpU6bgvffeg1arBWC4NDgrKwsA0LRpU7Rt29bGVIQQgIoRQgghhDgYDdMQQgghxKGoGCGEEEKIQ1ExQgghhBCHomKEEEIIIQ5FxQghhBBCHIqKEUIIIYQ4FBUjhBBCCHEoKkYIIYQQ4lD/Hzd0x+/9XkKfAAAAAElFTkSuQmCC",
"text/plain": "Figure(PyObject <Figure size 600x480 with 1 Axes>)"
},
"metadata": {},
"output_type": "display_data"
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "これはそこそこ満足できる結果だと思われる。"
},
{
"metadata": {},
"cell_type": "markdown",
"source": "## 完全な直線と1つの外れ値\n\nhttp://austinrochford.com/posts/2015-03-08-robust-regression-t-residuals.html\n\nでは t 分布の自由度の `nu` を `nu = 5` と固定してしまっているせいで、不十分な結果で終わっている。\n\n以下の回帰では `nu = 0.73` と推定されている。\n\n`nu` が小さい方が外れ値が出易くなる。"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "X = [10, 8, 13, 9, 11, 14, 6, 4, 12, 7, 5]\nY = [7.46, 6.77, 12.74, 7.11, 7.81, 8.84, 6.08, 5.39, 8.15, 6.42, 5.73]\nXmin = 3.0\nXmax = 15.0\nXX = hcatones(X)\n\nprintln(\"x[1] == 1\\n\")\n\nrho, nu, a, aic_t = reg_t(XX, Y, init=[1.0, 0.05, 0, 0])\nshow_t(rho, nu, a, aic_t)\nshow_residualerror(a, XX, Y)\nprintln()\n\nsigma, b, aic_n = reg_normal(XX,Y)\nshow_normal(sigma, b, aic_n)\nshow_residualerror(b, XX, Y)\nprintln()\n\nsleep(0.2)\n\nfigure(figsize=(6,4.8))\nscatter(X, Y, s=10, color=\"red\")\nxs = [Xmin, Xmax]\nplot(xs, a[1].+a[2]*xs, label=\"t-dist linreg\", ls=\"--\")\nplot(xs, b[1].+b[2]*xs, label=\"ordinary linreg\", ls=\":\")\nxlabel(\"X\")\nylabel(\"Y\")\ngrid(\"on\", ls=\":\")\nlegend()\ntitle(\"linear regressions\");",
"execution_count": 16,
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": "x[1] == 1\n\nAIC=-8.64e+01, y - (4.0e+00 x[1] + 3.5e-01 x[2]) ~ 1.0e-04 TDist(2.4e-01)\nsum of squares of residual errors = 1.80e+01 -> sqrt = 4.25e+00; mean = 3.85e-01, std = 1.28e+00\n\nAIC= 3.97e+01, y - (3.0e+00 x[1] + 5.0e-01 x[2]) ~ 1.1e+00 Normal(0,1)\nsum of squares of residual errors = 1.38e+01 -> sqrt = 3.71e+00; mean = 1.50e-05, std = 1.17e+00\n\n"
},
{
"data": {
"image/png": 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",
"text/plain": "Figure(PyObject <Figure size 600x480 with 1 Axes>)"
},
"metadata": {},
"output_type": "display_data"
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "t分布線形回帰ならば外れ値を除いてぴったり直線がサンプルの上にのっている。\n\nこの場合も errorfunc = sd2hp を使った結果は有用ではない。"
},
{
"metadata": {},
"cell_type": "markdown",
"source": "以下は別のパターン。"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "X = Float64[0:10;]\nY = 4.0 .+ 0.6*X\nY[5] = -0.0\nXmin = -0.5\nXmax = 10.5\nXX = hcatones(X)\n\nprintln(\"x[1] == 1\\n\")\n\nrho, nu, a, aic_t = reg_t(XX,Y)\nshow_t(rho, nu, a, aic_t)\nshow_residualerror(a, XX, Y)\nprintln()\n\nsigma, b, aic_n = reg_normal(XX,Y)\nshow_normal(sigma, b, aic_n)\nshow_residualerror(b, XX, Y)\nprintln()\n\nsleep(0.2)\n\nfigure(figsize=(6,4.8))\nscatter(X, Y, s=10, color=\"red\")\nxs = [Xmin, Xmax]\nplot(xs, a[1].+a[2]*xs, label=\"t-dist linreg\", ls=\"--\")\nplot(xs, b[1].+b[2]*xs, label=\"ordinary linreg\", ls=\":\")\n\nxlabel(\"X\")\nylabel(\"Y\")\ngrid(\"on\", ls=\":\")\nlegend()\ntitle(\"linear regressions\");",
"execution_count": 17,
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": "x[1] == 1\n\nAIC=-1.32e+02, y - (4.0e+00 x[1] + 6.0e-01 x[2]) ~ 1.0e-04 TDist(3.7e-01)\nsum of squares of residual errors = 4.10e+01 -> sqrt = 6.40e+00; mean = -5.82e-01, std = 1.93e+00\n\nAIC= 5.05e+01, y - (3.1e+00 x[1] + 6.6e-01 x[2]) ~ 1.8e+00 Normal(0,1)\nsum of squares of residual errors = 3.69e+01 -> sqrt = 6.07e+00; mean = -9.76e-06, std = 1.92e+00\n\n"
},
{
"data": {
"image/png": 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",
"text/plain": "Figure(PyObject <Figure size 600x480 with 1 Axes>)"
},
"metadata": {},
"output_type": "display_data"
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "**注意:** sd2hp による線引きは初期条件によって大幅に変化するので注意せよ。"
},
{
"metadata": {
"collapsed": true
},
"cell_type": "markdown",
"source": "## MathWorksのサポートページより\n\nCompare Robust Regression Techniques\n\nhttps://jp.mathworks.com/help/econ/compare-robust-regression-techniques.html\n\nと同じようにして作ったサンプルにt分布線形回帰を適用してみよう。"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "## similate data\n\nsrand(2017)\n\nn = 100\nX = collect(linspace(0,2,n))\nb0 = 1\nb1 = 2\nsigma = 0.5\ne = randn(n)\nY = b0 .+ b1*X .+ sigma*e;\n\nfor i in 1:n\n if X[i] < 0.25\n Y[i] *= 3.0\n end\nend\n\nfigure(figsize=(5,4))\nscatter(X, Y, s=15, color=\"red\", label=\"Data (X,Y)\")\nxlabel(\"x\")\nylabel(\"y\")\ngrid(\"on\", ls=\":\")\ntitle(\"Simulate Data\")\nlegend()",
"execution_count": 18,
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": "Figure(PyObject <Figure size 500x400 with 1 Axes>)"
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/plain": "PyObject <matplotlib.legend.Legend object at 0x0000000048BAADA0>"
},
"execution_count": 18,
"metadata": {},
"output_type": "execute_result"
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "Xmin = -0.05\nXmax = 1.05*2\nXX = hcatones(X)\n\nYmin = -0.04\nYmax = 1.05*maximum(Y)\n\nprintln(\"x[1] == 1\\n\")\n\nprintln(\"true model: y = 1 + 2 x + epsilon(sigma=0.5) + outlier\")\n\nrho, nu, a, aic_t = reg_t(XX,Y)\nshow_t(rho, nu, a, aic_t)\nshow_residualerror(a, XX, Y)\nprintln()\n\nsigma, b, aic_n = reg_normal(XX,Y)\nshow_normal(sigma, b, aic_n)\nshow_residualerror(b, XX, Y)\nprintln()\n\nsleep(0.2)\n\nfigure(figsize=(5,4))\nscatter(X, Y, s=15, color=\"red\")\nxs = [Xmin, Xmax]\nplot(xs, a[1].+a[2]*xs, label=\"t-dist linreg\", ls=\"--\")\nplot(xs, b[1].+b[2]*xs, label=\"ordinary linreg\", ls=\":\")\nxlabel(\"x\")\nylabel(\"y\")\nylim(Ymin,Ymax)\ngrid(\"on\", ls=\":\")\nlegend(loc=\"lower right\")\ntitle(\"Regression Techniques Comparison\");",
"execution_count": 19,
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": "x[1] == 1\n\ntrue model: y = 1 + 2 x + epsilon(sigma=0.5) + outlier\nAIC= 2.56e+02, y - (9.9e-01 x[1] + 2.1e+00 x[2]) ~ 4.1e-01 TDist(1.6e+00)\nsum of squares of residual errors = 1.39e+02 -> sqrt = 1.18e+01; mean = 3.16e-01, std = 1.14e+00\n\nAIC= 2.98e+02, y - (2.1e+00 x[1] + 1.3e+00 x[2]) ~ 1.0e+00 Normal(0,1)\nsum of squares of residual errors = 1.08e+02 -> sqrt = 1.04e+01; mean = -1.44e-05, std = 1.05e+00\n\n"
},
{
"data": {
"image/png": 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",
"text/plain": "Figure(PyObject <Figure size 500x400 with 1 Axes>)"
},
"metadata": {},
"output_type": "display_data"
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "真のモデル: y = 1.0 + 2.0 x + 0.5×(標準正規分布) + (左端の外れ値を作る操作)\n\nt分布線形回帰: y = 0.99 + 2.1 x + (残差), (残差)~0.41×(自由度1.6のt分布)\n\n通常の線形回帰: y = 2.1 + 1.3 x + (残差), (残差)~1.0 ×(標準正規分布)\n\nt分布線形回帰は外れ値の影響をあまり受けずに真のモデルをうまく推定している。\n\n次のリンク先でも最後にt分布を使ったモデルを扱っている:\n\n* https://jp.mathworks.com/help/econ/compare-robust-regression-techniques.html\n\nしかし、t分布の自由度 nu の値も推定の対象にせずに、固定された nu を色々動かして様子を見ている。\n\n我々のケースで nu の値は 1.6 程度に推定されている。"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "",
"execution_count": null,
"outputs": []
}
],
"metadata": {
"@webio": {
"lastCommId": null,
"lastKernelId": null
},
"_draft": {
"nbviewer_url": "https://gist.github.com/6897ddc41f69566112675a13962d9187"
},
"gist": {
"id": "6897ddc41f69566112675a13962d9187",
"data": {
"description": "t-distribution linear regression",
"public": true
}
},
"kernelspec": {
"name": "julia-1.1",
"display_name": "Julia 1.1.1",
"language": "julia"
},
"language_info": {
"file_extension": ".jl",
"name": "julia",
"mimetype": "application/julia",
"version": "1.1.1"
},
"toc": {
"nav_menu": {
"height": "31px",
"width": "252px"
},
"number_sections": true,
"sideBar": true,
"skip_h1_title": true,
"base_numbering": 1,
"title_cell": "目次",
"title_sidebar": "目次",
"toc_cell": true,
"toc_position": {},
"toc_section_display": "block",
"toc_window_display": false
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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