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t分布モデルと正規分布モデルの対数尤度比に関する実験
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"source": "# t分布モデルと正規分布モデルの対数尤度比に関する実験\n\n黒木玄\n\n2017-10-18 (2019-09-18 Julia v1.0 以上に対応)\n\n$p(x|w)$ は $r$ 次元の空間 $W_1$ の中を動くパラメーター $w$ を持つ $x$ に関する確率密度函数であるとし, $W_0$ は $W_1$ に含まれる $s$ 次元の部分空間であるとする. $w_{\\mathrm{true}}\\in W_0$ であると仮定し, $q(x)=p(x|w_{\\mathrm{true}})$ とおく. $X_1,\\ldots,X_n$ は独立同分布な確率変数達で確率密度函数 $q(x)$ を持つと仮定する。すなわち $X_1,\\ldots,X_n$ は確率分布 $q(x)$ が生成したサンプルであると仮定する。尤度函数 $L_n(w)$ を次のように定める:\n\n$$\\displaystyle\nL_n(w) = \\prod_{k=1}^n p(X_k|w).\n$$\n\nこのとき、適当な正則性の仮定のもとで、Wilksの定理より、サンプルサイズ $n\\to\\infty$ で漸近的に以下が成立する:\n\n$$\\displaystyle\n2\\left[\\max_{w_1\\in W_1}\\log L_n(w_1)-\\max_{w_0\\in W_0}\\log L_n(w_0)\\right] \\sim \\chi^2(r-s)\n$$\n\n左辺を**対数尤度比**と呼ぶことにする。\n\nこれが正規分布モデルとt分布モデルで実際に成立していることを大きくないサンプルサイズ $n$ で数値的に確認したい。正規分布モデルは\n\n$$\nX \\sim \\mathrm{Normal}(\\mu,\\sigma) \\sim \\mu + \\sigma \\mathrm{Normal}(0,1)\n$$\n\nと記述され、t分布モデルは\n\n$$\nX \\sim \\mu + \\rho T(\\nu) \n$$\n\nと記述される。ここで $T(\\nu)$ は自由度 $\\nu$ のt分布に従う確率変数である。自由度 $\\nu$ のt分布は $\\nu\\to\\infty$ の極限で標準正規分布に収束するので、t分布モデルは $\\nu=\\infty$ の場合として正規分布モデルを含んでいると考えられる。\n\nt分布モデルのパラメーター数は $r=3$ で正規分布モデルのパラメーター数は $s=2$ なので、この場合にもWilksの定理を適用できるならば、対数尤度比は $n\\to\\infty$ で漸近的に自由度1のカイ二乗分布に従うはずである。これを大きくない $n$ で数値的に確認することが、このノートの目標である。\n\nサンプルは標準正規分布で生成する。(「サンプルを生成した真の確率分布がパラメーター数の少ない部分モデルで記述される」という「帰無仮説」が成立している状況。)"
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"source": "<h1>目次<span class=\"tocSkip\"></span></h1>\n<div class=\"toc\"><ul class=\"toc-item\"><li><span><a href=\"#シミュレーション用の函数の定義\" data-toc-modified-id=\"シミュレーション用の函数の定義-1\"><span class=\"toc-item-num\">1&nbsp;&nbsp;</span>シミュレーション用の函数の定義</a></span><ul class=\"toc-item\"><li><span><a href=\"#正規分布モデルのシミュレーション用の函数\" data-toc-modified-id=\"正規分布モデルのシミュレーション用の函数-1.1\"><span class=\"toc-item-num\">1.1&nbsp;&nbsp;</span>正規分布モデルのシミュレーション用の函数</a></span></li><li><span><a href=\"#t分布モデルと正規分布モデルを比較するシミュレーション用の函数\" data-toc-modified-id=\"t分布モデルと正規分布モデルを比較するシミュレーション用の函数-1.2\"><span class=\"toc-item-num\">1.2&nbsp;&nbsp;</span>t分布モデルと正規分布モデルを比較するシミュレーション用の函数</a></span></li></ul></li><li><span><a href=\"#小手調べにパラメーター数の違う正規分布モデルで実験\" data-toc-modified-id=\"小手調べにパラメーター数の違う正規分布モデルで実験-2\"><span class=\"toc-item-num\">2&nbsp;&nbsp;</span>小手調べにパラメーター数の違う正規分布モデルで実験</a></span></li><li><span><a href=\"#t分布モデルと正規分布モデルのあいだの対数尤度比に関する実験\" data-toc-modified-id=\"t分布モデルと正規分布モデルのあいだの対数尤度比に関する実験-3\"><span class=\"toc-item-num\">3&nbsp;&nbsp;</span>t分布モデルと正規分布モデルのあいだの対数尤度比に関する実験</a></span></li><li><span><a href=\"#より詳細な情報\" data-toc-modified-id=\"より詳細な情報-4\"><span class=\"toc-item-num\">4&nbsp;&nbsp;</span>より詳細な情報</a></span><ul class=\"toc-item\"><li><span><a href=\"#函数の定義\" data-toc-modified-id=\"函数の定義-4.1\"><span class=\"toc-item-num\">4.1&nbsp;&nbsp;</span>函数の定義</a></span></li><li><span><a href=\"#n-=-16\" data-toc-modified-id=\"n-=-16-4.2\"><span class=\"toc-item-num\">4.2&nbsp;&nbsp;</span>n = 16</a></span></li><li><span><a href=\"#偶然に外れ値を含んでしまったサンプルの例\" data-toc-modified-id=\"偶然に外れ値を含んでしまったサンプルの例-4.3\"><span class=\"toc-item-num\">4.3&nbsp;&nbsp;</span>偶然に外れ値を含んでしまったサンプルの例</a></span></li><li><span><a href=\"#n-=-8\" data-toc-modified-id=\"n-=-8-4.4\"><span class=\"toc-item-num\">4.4&nbsp;&nbsp;</span>n = 8</a></span></li><li><span><a href=\"#n-=-32\" data-toc-modified-id=\"n-=-32-4.5\"><span class=\"toc-item-num\">4.5&nbsp;&nbsp;</span>n = 32</a></span></li></ul></li><li><span><a href=\"#データを保存\" data-toc-modified-id=\"データを保存-5\"><span class=\"toc-item-num\">5&nbsp;&nbsp;</span>データを保存</a></span></li></ul></div>"
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"metadata": {},
"cell_type": "markdown",
"source": "## シミュレーション用の函数の定義"
},
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"cell_type": "code",
"source": "using Distributions\nusing Optim\nusing PyPlot\nlinspace(a, b, l) = range(a, b, length=l)",
"execution_count": 1,
"outputs": [
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"data": {
"text/plain": "linspace (generic function with 1 method)"
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"execution_count": 1,
"metadata": {},
"output_type": "execute_result"
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"metadata": {},
"cell_type": "markdown",
"source": "### 正規分布モデルのシミュレーション用の函数"
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"source": "loglik_normal(mu,sigma,X) = logpdf(MvNormal(fill(mu,length(X)),sigma),X)\n\nfunction maxloglik_normal(X)\n d = fit_mle(Normal,X)\n return loglik_normal(d.μ, d.σ, X)\nend\n\nfunction maxloglik_normal_mu(X)\n mu = mean(X)\n sigma = 1.0\n return loglik_normal(mu, sigma, X)\nend\n\nfunction maxloglik_normal_sigma(X)\n mu = 0.0\n sigma = sqrt(mean(X.^2))\n return loglik_normal(mu, sigma, X)\nend\n\nfunction maxloglik_normal_true(X)\n mu = 0.0\n sigma = 1.0\n return loglik_normal(mu, sigma, X)\nend\n\nfunction sim_normal(n, Niters)\n sim = Array{Float64,2}(undef, Niters,4)\n X = Array{Float64}(undef, n)\n for t in 1:Niters\n X = randn(n)\n sim[t,1] = maxloglik_normal(X)\n sim[t,2] = maxloglik_normal_mu(X)\n sim[t,3] = maxloglik_normal_sigma(X)\n sim[t,4] = maxloglik_normal_true(X)\n end\n return sim\nend",
"execution_count": 2,
"outputs": [
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"data": {
"text/plain": "sim_normal (generic function with 1 method)"
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"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
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},
{
"metadata": {},
"cell_type": "markdown",
"source": "### t分布モデルと正規分布モデルを比較するシミュレーション用の函数"
},
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"cell_type": "code",
"source": "loglik_t(mu, rho, nu, X) = sum(logpdf(TDist(nu), (X[i]-mu)/rho)-log(rho) for i in 1:length(X))\n\nfunction maxloglik_t(X)\n negloglik(x) = -loglik_t(x[1], exp(x[2]), exp(x[3]), X)\n return -optimize(negloglik, [0.0, 0.0, 0.0]).minimum\nend\n\nfunction sim_tmodel(n, Niters)\n sim = Array{Float64,2}(undef, Niters,2)\n X = Array{Float64}(undef, n)\n a = -1.0\n b = 0.0\n for t in 1:Niters\n a = -1.0\n b = 0.0\n # t分布モデルの最大尤度 ≥ 正規分布モデルの最大尤度 となるまで繰り返す\n while a < b\n X = randn(n)\n a = maxloglik_t(X)\n b = maxloglik_normal(X)\n end\n sim[t,1] = a\n sim[t,2] = b\n end\n return sim\nend",
"execution_count": 3,
"outputs": [
{
"data": {
"text/plain": "sim_tmodel (generic function with 1 method)"
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
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]
},
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"metadata": {},
"cell_type": "markdown",
"source": "## 小手調べにパラメーター数の違う正規分布モデルで実験\n\n以下のように $n=16$ であっても対数尤度比がカイ二乗分布に近似的に従っていることがわかる。"
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"cell_type": "code",
"source": "n = 16\nNiters = 10^4\n@time sim_n = sim_normal(n, Niters)\n\nsleep(0.2)\nfigure(figsize=(8,10))\n\nsubplot(321)\nhist(2*(sim_n[:,1]-sim_n[:,2]), normed=true, bins=200, label=\"Simulation\")\nx = linspace(0, 5, 200)\nxlim(minimum(x), maximum(x))\nplot(x, pdf.(Chisq(1),x), label=\"Chisq(1)\")\ngrid(\"on\", ls=\":\")\nlegend()\ntitle(\"Normal(μ,σ) vs. Normal(μ,1)\")\n\nsubplot(322)\nhist(2*(sim_n[:,1]-sim_n[:,3]), normed=true, bins=200, label=\"Simulation\")\nx = linspace(0, 5, 200)\nxlim(minimum(x), maximum(x))\nplot(x, pdf.(Chisq(1),x), label=\"Chisq(1)\")\ngrid(\"on\", ls=\":\")\nlegend()\ntitle(\"Normal(μ,σ) vs. Normal(0,σ)\")\n\nsubplot(323)\nhist(2*(sim_n[:,2]-sim_n[:,4]), normed=true, bins=200, label=\"Simulation\")\nx = linspace(0, 5, 200)\nxlim(minimum(x), maximum(x))\nplot(x, pdf.(Chisq(1),x), label=\"Chisq(1)\")\ngrid(\"on\", ls=\":\")\nlegend()\ntitle(\"Normal(μ,0) vs. Normal(0,1)\")\n\nsubplot(324)\nhist(2*(sim_n[:,3]-sim_n[:,4]), normed=true, bins=200, label=\"Simulation\")\nx = linspace(0, 5, 200)\nxlim(minimum(x), maximum(x))\nplot(x, pdf.(Chisq(1),x), label=\"Chisq(1)\")\ngrid(\"on\", ls=\":\")\nlegend()\ntitle(\"Normal(0,σ) vs. Normal(0,1)\")\n\nsubplot(325)\nhist(2*(sim_n[:,1]-sim_n[:,4]), normed=true, bins=100, label=\"Simulation\")\nx = linspace(0, 12, 200)\nxlim(minimum(x), maximum(x))\nplot(x, pdf.(Chisq(2),x), label=\"Chisq(2)\")\ngrid(\"on\", ls=\":\")\nlegend()\ntitle(\"Normal(μ,σ) vs. Normal(0,1)\")\n\ntight_layout()",
"execution_count": 4,
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": " 0.537451 seconds (1.18 M allocations: 74.002 MiB, 5.19% gc time)\n"
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{
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",
"text/plain": "Figure(PyObject <Figure size 800x1000 with 5 Axes>)"
},
"metadata": {},
"output_type": "display_data"
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "## t分布モデルと正規分布モデルのあいだの対数尤度比に関する実験\n\n問題はt分布モデルを最尤法で解くことである。t分布モデルの尤度函数はローカルマキシマムを持つことがよくある。さらに、optimize() 函数の計算法は繰り返しの回数を制限している(デフォルトは1000回)。だから、optimize() 函数で解いた結果が最尤法の真の解を与えるとは限らない。\n\nだから、t分布モデルの最大尤度のoptimize()函数による数値計算の結果が正規分布モデルの最大尤度より小さくなってしまった場合には、最尤法の真の解を得ることに失敗したとみなして、その結果を捨てて計算をやり直すことにした。以下で行う計算は、t分布モデルの最大尤度の数値計算の結果が正規分布モデルの最大尤度以上になった場合に制限した場合の対数尤度比の分布を見ている。このような計算による偏りが出てしまう可能性に注意しながら、以下の計算例を眺めて欲しい。\n\n$n=16$ 程度であっても自由度1のカイ二乗分布によく従っているように見える。"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "n = 16\nNiters = 10^4\n@time sim_t16 = sim_tmodel(n, Niters);",
"execution_count": 5,
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": " 52.120798 seconds (100.02 M allocations: 2.211 GiB, 0.80% gc time)\n"
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "sim_t = sim_t16\nn = 16\n\nfigure(figsize=(10,4))\n\nsubplot(121)\nhist(2*(sim_t[:,1]-sim_t[:,2]), normed=true, bins=200, label=\"Simulation\")\nx = linspace(0, 6, 200)\nxlim(minimum(x), maximum(x))\nplot(x, pdf.(Chisq(1),x), color=\"red\", ls=\":\", label=\"Chisq(1)\")\ngrid(\"on\", ls=\":\")\nlegend()\ntitle(\"TModel(μ,ρ,ν) vs. Normal(μ,σ) [n = $n]\")\n\nsubplot(122)\nhist(2*(sim_t[:,1]-sim_t[:,2]), normed=true, bins=30, label=\"Simulation\")\nx = linspace(2.5, 15, 200)\nxlim(minimum(x), maximum(x))\nylim(0,1.2*pdf(Chisq(1),2.5))\nplot(x, pdf.(Chisq(1),x), color=\"red\", ls=\":\", label=\"Chisq(1)\")\ngrid(\"on\", ls=\":\")\nlegend()\ntitle(\"TModel(μ,ρ,ν) vs. Normal(μ,σ) [n = $n]\")\n;",
"execution_count": 6,
"outputs": [
{
"data": {
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",
"text/plain": "Figure(PyObject <Figure size 1000x400 with 2 Axes>)"
},
"metadata": {},
"output_type": "display_data"
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "$n=8$ だと対数尤度比が大きくなりがちな様子が見える。"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "n = 8\nNiters = 10^4\n@time sim_t8 = sim_tmodel(n, Niters);",
"execution_count": 7,
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": " 35.795659 seconds (123.92 M allocations: 2.632 GiB, 0.97% gc time)\n"
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "sim_t = sim_t8\nn = 8\n\nfigure(figsize=(10,4))\n\nsubplot(121)\nhist(2*(sim_t[:,1]-sim_t[:,2]), normed=true, bins=500, label=\"Simulation\")\nx = linspace(0, 6, 200)\nxlim(minimum(x), maximum(x))\nplot(x, pdf.(Chisq(1),x), color=\"red\", ls=\":\", label=\"Chisq(1)\")\ngrid(\"on\", ls=\":\")\nlegend()\ntitle(\"TModel(μ,ρ,ν) vs. Normal(μ,σ) [n = $n]\")\n\nsubplot(122)\nhist(2*(sim_t[:,1]-sim_t[:,2]), normed=true, bins=100, label=\"Simulation\")\nx = linspace(2.5, 20, 200)\nxlim(minimum(x), maximum(x))\nylim(0,1.2*pdf(Chisq(1),2.5))\nplot(x, pdf.(Chisq(1),x), color=\"red\", ls=\":\", label=\"Chisq(1)\")\ngrid(\"on\", ls=\":\")\nlegend()\ntitle(\"TModel(μ,ρ,ν) vs. Normal(μ,σ) [n = $n]\")\n;",
"execution_count": 8,
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": "Figure(PyObject <Figure size 1000x400 with 2 Axes>)"
},
"metadata": {},
"output_type": "display_data"
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "以下は $n=32$ の場合。"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "n = 32\nNiters = 10^4\n@time sim_t32 = sim_tmodel(n, Niters);",
"execution_count": 9,
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": " 71.221784 seconds (79.68 M allocations: 1.706 GiB, 0.31% gc time)\n"
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "sim_t = sim_t32\nn = 32\n\nfigure(figsize=(10,4))\n\nsubplot(121)\nhist(2*(sim_t[:,1]-sim_t[:,2]), normed=true, bins=200, label=\"Simulation\")\nx = linspace(0, 6, 200)\nxlim(minimum(x), maximum(x))\nplot(x, pdf.(Chisq(1),x), color=\"red\", ls=\":\", label=\"Chisq(1)\")\ngrid(\"on\", ls=\":\")\nlegend()\ntitle(\"TModel(μ,ρ,ν) vs. Normal(μ,σ) [n = $n]\")\n\nsubplot(122)\nhist(2*(sim_t[:,1]-sim_t[:,2]), normed=true, bins=30, label=\"Simulation\")\nx = linspace(2.5, 15, 200)\nxlim(minimum(x), maximum(x))\nylim(0,1.2*pdf(Chisq(1),2.5))\nplot(x, pdf.(Chisq(1),x), color=\"red\", ls=\":\", label=\"Chisq(1)\")\ngrid(\"on\", ls=\":\")\nlegend()\ntitle(\"TModel(μ,ρ,ν) vs. Normal(μ,σ) [n = $n]\")\n;",
"execution_count": 10,
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": "Figure(PyObject <Figure size 1000x400 with 2 Axes>)"
},
"metadata": {},
"output_type": "display_data"
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "@show invlogcdf(Chisq(1),log(0.95))\n@show invlogcdf(Chisq(1),log(0.99))\n@show invlogcdf(Chisq(1),log(0.999))\n;",
"execution_count": 11,
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": "invlogcdf(Chisq(1), log(0.95)) = 3.841458820694124\ninvlogcdf(Chisq(1), log(0.99)) = 6.634896601021213\ninvlogcdf(Chisq(1), log(0.999)) = 10.82756617066273\n"
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "## より詳細な情報"
},
{
"metadata": {},
"cell_type": "markdown",
"source": "### 函数の定義"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "function solve_normal(X)\n d = fit_mle(Normal,X)\n return [loglik_normal(d.μ, d.σ, X), d.μ, d.σ]\nend\n\nfunction solve_tmodel(X)\n negloglik(x) = -loglik_t(x[1], exp(x[2]), exp(x[3]), X)\n r = optimize(negloglik, [randn(), randn(), randn()])\n return [-r.minimum; r.minimizer]\nend\n\nfunction simulate_tmodel(n, Niters)\n sim = Array{Float64,2}(undef, 4+3+n, Niters)\n X = Array{Float64}(undef, n)\n a = -1.0\n b = 0.0\n result_t = Array{Float64}(undef, 4)\n result_n = Array{Float64}(undef, 3)\n for t in 1:Niters\n a = -1.0\n b = 0.0\n # t分布モデルの最大尤度 ≥ 正規分布モデルの最大尤度 となるまで繰り返す\n while a < b\n X = randn(n)\n result_t = solve_tmodel(X)\n result_n = solve_normal(X)\n a = result_t[1]\n b = result_n[1]\n end\n sim[:,t] = vcat(result_t, result_n, X)\n end\n return sim\nend\n\nloglikelihoodratio(sim) = 2*(sim[1,:]-sim[5,:])\n\necdf(pval::AbstractArray{Float64,1}, x::Float64) = count(p -> p ≤ x, pval)/length(pval)\necdf(pval, x) = ecdf(pval, Float64(x))",
"execution_count": 12,
"outputs": [
{
"data": {
"text/plain": "ecdf (generic function with 2 methods)"
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "### n = 16"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "n = 16\nNiters = 10^4\n@time sim16 = simulate_tmodel(n, Niters);",
"execution_count": 13,
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": " 46.024160 seconds (95.04 M allocations: 2.070 GiB, 0.62% gc time)\n"
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "sim = sim16\nn = 16\nllr = loglikelihoodratio(sim)\n\nfigure(figsize=(10,4))\n\nsubplot(121)\nhist(llr, normed=true, bins=200, color=\"darkorange\", label=\"Simulation\")\nx = linspace(0, 6, 200)\nxlim(minimum(x), maximum(x))\nplot(x, pdf.(Chisq(1),x), color=\"black\", ls=\":\", label=\"Chisq(1)\")\ngrid(\"on\", ls=\":\")\nlegend()\ntitle(\"TModel(μ,ρ,ν) vs. Normal(μ,σ) [n = $n]\")\n\nsubplot(122)\nhist(llr, normed=true, bins=30, color=\"darkorange\", label=\"Simulation\")\nx = linspace(2.5, 15, 200)\nxlim(minimum(x), maximum(x))\nylim(0,1.2*pdf(Chisq(1),2.5))\nplot(x, pdf.(Chisq(1),x), color=\"black\", ls=\":\", label=\"Chisq(1)\")\ngrid(\"on\", ls=\":\")\nlegend()\ntitle(\"TModel(μ,ρ,ν) vs. Normal(μ,σ) [n = $n]\")\n;",
"execution_count": 14,
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": "Figure(PyObject <Figure size 1000x400 with 2 Axes>)"
},
"metadata": {},
"output_type": "display_data"
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "sim = sim16\nn = 16\nllr = loglikelihoodratio(sim)\npval = ccdf.(Chisq(1), llr)\necdf_pval(x) = ecdf(pval ,x)\n\nfigure(figsize=(8,4))\n\nax1 = subplot2grid((1,2), (0,0), rowspan=1, colspan=1)\nx = collect(linspace(0.0, 1.0, 200))\nplot(x, ecdf_pval.(x), color=\"darkorange\", label=\"LLR χ²\")\nplot(x, x, color=\"gray\", ls=\":\", label=\"y = x\")\nxlabel(\"x\")\nylabel(\"y = probability(p-value \\$\\\\leqq\\$ x)\")\ngrid(\"on\", ls=\":\")\nlegend()\ntitle(\"TModel(μ,ρ,ν) vs. Normal(μ,σ) [n = $n]\", fontsize=10)\n\nax2 = subplot2grid((1,2), (0,1), rowspan=1, colspan=1)\nx = collect(linspace(0.0, 0.1, 100))\nplot(x, ecdf_pval.(x), color=\"darkorange\", label=\"LLR χ²\")\nplot(x, x, color=\"black\", ls=\":\", label=\"y = x\")\nxlabel(\"x\")\nylabel(\"y = probability(p-value \\$\\\\leqq\\$ x)\")\ngrid(\"on\", ls=\":\")\nlegend()\ntitle(\"TModel(μ,ρ,ν) vs. Normal(μ,σ) [n = $n]\", fontsize=10)\n\ntight_layout()",
"execution_count": 15,
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": "Figure(PyObject <Figure size 800x400 with 2 Axes>)"
},
"metadata": {},
"output_type": "display_data"
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "サンプルサイズ $n=16$ でecdfのグラフがほぼ45度線に乗っている。これは対数尤度比(LLR)によるカイ二乗検定が有効であることを意味する。小さな値で、微妙にp値が小さめの値になるようだが、個人的に、この程度なら許容範囲だと思う。"
},
{
"metadata": {},
"cell_type": "markdown",
"source": "### 偶然に外れ値を含んでしまったサンプルの例"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "sim = sim16\nn = 16\nllr = loglikelihoodratio(sim)\n@show llr_o, k = findmax(llr)\ndata = sim[:,k]\n\n@show llr[k]\n@show pval = ccdf(Chisq(1), llr[k])\n@show mu_t = data[2]\n@show rho_t = exp(data[3])\n@show nu_t = exp(data[4])\n@show mu_n = data[6]\n@show sigma_n = data[7]\nsample = data[8:end]\n\nsleep(0.2)\nfigure()\nx = collect(linspace(min(-4, minimum(sample)), max(4, maximum(sample)), 200))\nf_t(x) = pdf(TDist(nu_t), (x-mu_t)/rho_t)/rho_t\nf_n(x) = pdf(Normal(mu_n, sigma_n), x)\nplot(x, f_t.(x), label=\"t-dist model\")\nplot(x, f_n.(x), label=\"normal model\")\nscatter([],[])\nscatter([],[])\nscatter(sample, f_t(sample), s=20, alpha=0.8, label=\"sample\")\nscatter(sample, f_n(sample), s=20, alpha=0.8, label=\"sample\")\nscatter(sample, fill(-0.04,length(sample)), s=20, alpha=0.8, label=\"sample\")\ngrid(\"on\", ls=\":\")\nlegend()\ntitle(\"TModel(μ,ρ,ν) vs. Normal(μ,σ) [n = $n]\")",
"execution_count": 16,
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": "(llr_o, k) = findmax(llr) = (16.941718091921125, 5160)\nllr[k] = 16.941718091921125\npval = ccdf(Chisq(1), llr[k]) = 3.8545108438898e-5\nmu_t = data[2] = -0.3616508216593233\nrho_t = exp(data[3]) = 0.1731846545313613\nnu_t = exp(data[4]) = 0.9490849374406798\nmu_n = data[6] = -0.013862366344273298\nsigma_n = data[7] = 0.9507407729385783\n"
},
{
"ename": "MethodError",
"evalue": "MethodError: no method matching -(::Array{Float64,1}, ::Float64)\nClosest candidates are:\n -(!Matched::Float64, ::Float64) at float.jl:397\n -(!Matched::Complex{Bool}, ::Real) at complex.jl:298\n -(!Matched::Missing, ::Number) at missing.jl:97\n ...",
"output_type": "error",
"traceback": [
"MethodError: no method matching -(::Array{Float64,1}, ::Float64)\nClosest candidates are:\n -(!Matched::Float64, ::Float64) at float.jl:397\n -(!Matched::Complex{Bool}, ::Real) at complex.jl:298\n -(!Matched::Missing, ::Number) at missing.jl:97\n ...",
"",
"Stacktrace:",
" [1] f_t(::Array{Float64,1}) at .\\In[16]:19",
" [2] top-level scope at In[16]:25"
]
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "sim = sim16\nn = 16\nllr = loglikelihoodratio(sim)\nk = findfirst(x-> 12 < x < 13, llr)\ndata = sim[:,k]\n\n@show llr[k]\n@show pval = ccdf(Chisq(1), llr[k])\n@show mu_t = data[2]\n@show rho_t = exp(data[3])\n@show nu_t = exp(data[4])\n@show mu_n = data[6]\n@show sigma_n = data[7]\nsample = data[8:end]\n\nsleep(0.2)\nfigure()\nx = collect(linspace(min(-4, minimum(sample)), max(4, maximum(sample)), 200))\nf_t(x) = pdf(TDist(nu_t), (x-mu_t)/rho_t)/rho_t\nf_n(x) = pdf(Normal(mu_n, sigma_n), x)\nplot(x, f_t.(x), label=\"t-dist model\")\nplot(x, f_n.(x), label=\"normal model\")\nscatter([],[])\nscatter([],[])\nscatter(sample, f_t(sample), s=20, alpha=0.8, label=\"sample\")\nscatter(sample, f_n(sample), s=20, alpha=0.8, label=\"sample\")\nscatter(sample, fill(-0.04,length(sample)), s=20, alpha=0.8, label=\"sample\")\ngrid(\"on\", ls=\":\")\nlegend()\ntitle(\"TModel(μ,ρ,ν) vs. Normal(μ,σ) [n = $n]\")",
"execution_count": 17,
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": "llr[k] = 12.027831016164107\npval = ccdf(Chisq(1), llr[k]) = 0.0005241203108749154\nmu_t = data[2] = -0.12504212869746395\nrho_t = exp(data[3]) = 0.22182048821633282\nnu_t = exp(data[4]) = 1.04501255893087\nmu_n = data[6] = -0.2408163755329289\nsigma_n = data[7] = 0.9349822202425373\n"
},
{
"ename": "MethodError",
"evalue": "MethodError: no method matching -(::Array{Float64,1}, ::Float64)\nClosest candidates are:\n -(!Matched::Float64, ::Float64) at float.jl:397\n -(!Matched::Complex{Bool}, ::Real) at complex.jl:298\n -(!Matched::Missing, ::Number) at missing.jl:97\n ...",
"output_type": "error",
"traceback": [
"MethodError: no method matching -(::Array{Float64,1}, ::Float64)\nClosest candidates are:\n -(!Matched::Float64, ::Float64) at float.jl:397\n -(!Matched::Complex{Bool}, ::Real) at complex.jl:298\n -(!Matched::Missing, ::Number) at missing.jl:97\n ...",
"",
"Stacktrace:",
" [1] f_t(::Array{Float64,1}) at .\\In[17]:19",
" [2] top-level scope at In[17]:25"
]
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "sim = sim16\nn = 16\nllr = loglikelihoodratio(sim)\nk = findfirst(x-> 6.6 < x < 6.7, llr)\ndata = sim[:,k]\n\n@show llr[k]\n@show pval = ccdf(Chisq(1), llr[k])\n@show mu_t = data[2]\n@show rho_t = exp(data[3])\n@show nu_t = exp(data[4])\n@show mu_n = data[6]\n@show sigma_n = data[7]\nsample = data[8:end]\n\nsleep(0.2)\nfigure()\nx = collect(linspace(min(-4, minimum(sample)), max(4, maximum(sample)), 200))\nf_t(x) = pdf(TDist(nu_t), (x-mu_t)/rho_t)/rho_t\nf_n(x) = pdf(Normal(mu_n, sigma_n), x)\nplot(x, f_t.(x), label=\"t-dist model\")\nplot(x, f_n.(x), label=\"normal model\")\nscatter([],[])\nscatter([],[])\nscatter(sample, f_t(sample), s=20, alpha=0.8, label=\"sample\")\nscatter(sample, f_n(sample), s=20, alpha=0.8, label=\"sample\")\nscatter(sample, fill(-0.04,length(sample)), s=20, alpha=0.8, label=\"sample\")\ngrid(\"on\", ls=\":\")\nlegend()\ntitle(\"TModel(μ,ρ,ν) vs. Normal(μ,σ) [n = $n]\")",
"execution_count": 18,
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": "llr[k] = 6.620901053849003\npval = ccdf(Chisq(1), llr[k]) = 0.010078882975373885\nmu_t = data[2] = -0.12422177560198713\nrho_t = exp(data[3]) = 0.32567709559843333\nnu_t = exp(data[4]) = 1.227780867768117\nmu_n = data[6] = 0.10541512269801795\nsigma_n = data[7] = 0.9848554235976191\n"
},
{
"ename": "MethodError",
"evalue": "MethodError: no method matching -(::Array{Float64,1}, ::Float64)\nClosest candidates are:\n -(!Matched::Float64, ::Float64) at float.jl:397\n -(!Matched::Complex{Bool}, ::Real) at complex.jl:298\n -(!Matched::Missing, ::Number) at missing.jl:97\n ...",
"output_type": "error",
"traceback": [
"MethodError: no method matching -(::Array{Float64,1}, ::Float64)\nClosest candidates are:\n -(!Matched::Float64, ::Float64) at float.jl:397\n -(!Matched::Complex{Bool}, ::Real) at complex.jl:298\n -(!Matched::Missing, ::Number) at missing.jl:97\n ...",
"",
"Stacktrace:",
" [1] f_t(::Array{Float64,1}) at .\\In[18]:19",
" [2] top-level scope at In[18]:25"
]
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "sim = sim16\nn = 16\nllr = loglikelihoodratio(sim)\nk = findfirst(x-> 3.8 < x < 3.9, llr)\ndata = sim[:,k]\n\n@show llr[k]\n@show pval = ccdf(Chisq(1), llr[k])\n@show mu_t = data[2]\n@show rho_t = exp(data[3])\n@show nu_t = exp(data[4])\n@show mu_n = data[6]\n@show sigma_n = data[7]\nsample = data[8:end]\n\nsleep(0.2)\nfigure()\nx = collect(linspace(min(-4, minimum(sample)), max(4, maximum(sample)), 200))\nf_t(x) = pdf(TDist(nu_t), (x-mu_t)/rho_t)/rho_t\nf_n(x) = pdf(Normal(mu_n, sigma_n), x)\nplot(x, f_t.(x), label=\"t-dist model\")\nplot(x, f_n.(x), label=\"normal model\")\nscatter([],[])\nscatter([],[])\nscatter(sample, f_t(sample), s=20, alpha=0.8, label=\"sample\")\nscatter(sample, f_n(sample), s=20, alpha=0.8, label=\"sample\")\nscatter(sample, fill(-0.04,length(sample)), s=20, alpha=0.8, label=\"sample\")\ngrid(\"on\", ls=\":\")\nlegend()\ntitle(\"TModel(μ,ρ,ν) vs. Normal(μ,σ) [n = $n]\")",
"execution_count": 19,
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": "llr[k] = 3.814002024207994\npval = ccdf(Chisq(1), llr[k]) = 0.0508258744849049\nmu_t = data[2] = 0.17526696345738393\nrho_t = exp(data[3]) = 0.4770024208055219\nnu_t = exp(data[4]) = 1.8598569240142464\nmu_n = data[6] = 0.16117458279745092\nsigma_n = data[7] = 0.9636086222781125\n"
},
{
"ename": "MethodError",
"evalue": "MethodError: no method matching -(::Array{Float64,1}, ::Float64)\nClosest candidates are:\n -(!Matched::Float64, ::Float64) at float.jl:397\n -(!Matched::Complex{Bool}, ::Real) at complex.jl:298\n -(!Matched::Missing, ::Number) at missing.jl:97\n ...",
"output_type": "error",
"traceback": [
"MethodError: no method matching -(::Array{Float64,1}, ::Float64)\nClosest candidates are:\n -(!Matched::Float64, ::Float64) at float.jl:397\n -(!Matched::Complex{Bool}, ::Real) at complex.jl:298\n -(!Matched::Missing, ::Number) at missing.jl:97\n ...",
"",
"Stacktrace:",
" [1] f_t(::Array{Float64,1}) at .\\In[19]:19",
" [2] top-level scope at In[19]:25"
]
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "### n = 8"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "n = 8\nNiters = 10^4\n@time sim8 = simulate_tmodel(n, Niters);",
"execution_count": 20,
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": " 35.699261 seconds (127.95 M allocations: 2.753 GiB, 1.12% gc time)\n"
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "sim = sim8\nn = 8\nllr = loglikelihoodratio(sim)\npval = ccdf.(Chisq(1), llr)\necdf_pval(x) = ecdf(pval ,x)\n\nfigure(figsize=(8,4))\n\nax1 = subplot2grid((1,2), (0,0), rowspan=1, colspan=1)\nx = collect(linspace(0.0, 1.0, 200))\nplot(x, ecdf_pval.(x), color=\"darkorange\", label=\"LLR χ²\")\nplot(x, x, color=\"gray\", ls=\":\", label=\"y = x\")\nxlabel(\"x\")\nylabel(\"y = probability(p-value \\$\\\\leqq\\$ x)\")\ngrid(\"on\", ls=\":\")\nlegend()\ntitle(\"TModel(μ,ρ,ν) vs. Normal(μ,σ) [n = $n]\", fontsize=10)\n\nax2 = subplot2grid((1,2), (0,1), rowspan=1, colspan=1)\nx = collect(linspace(0.0, 0.1, 100))\nplot(x, ecdf_pval.(x), color=\"darkorange\", label=\"LLR χ²\")\nplot(x, x, color=\"black\", ls=\":\", label=\"y = x\")\nxlabel(\"x\")\nylabel(\"y = probability(p-value \\$\\\\leqq\\$ x)\")\ngrid(\"on\", ls=\":\")\nlegend()\ntitle(\"TModel(μ,ρ,ν) vs. Normal(μ,σ) [n = $n]\", fontsize=10)\n\ntight_layout()",
"execution_count": 21,
"outputs": [
{
"data": {
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e+Pv7i+bNm4v77rtP5OXlWY8bDAbx6KOPiqZNm4rg4GAxf/58MXv2bOtkLyGEUBRFrFixQvTs2VP4+PiIli1binHjxondu3cLIewn1QkhxMcffyyGDRtml/dHH31UhIaGioCAAPHYY4+Jhx56SDRp0sQ6OW3UqFE2k65GjRolHnroITFv3jzRtGlT0axZM/Hss8/aTLJbuHChCA0NtUkrJydH+Pj4iD59+oisrCy7e9WjRw+xYcOGCu9j+Xvq5+cnAgICbO5benq6mDJlimjbtq3w9fUVoaGhYsGCBcJkMtnck+TkZIdxl51UZyElJUX4+fmJ8o/Yt99+K3r16iV8fHxEp06dxFtvvWVzvKLJYJZJdWUnYlVUVuW/b4cPHxaDBw8Wfn5+onv37uKbb76xi7/89/D48eOiUaNGIjs72xo2atQocccdd4irr75a+Pr6irFjx4qVK1eKgIAAsWTJEiFExWX36aefiq5duwofHx/Ro0cP8Z///MfmeFFRkWjatKnYt2+f/U2tJY4m1ZV/HstPfHQHBw8eFGPHjhXNmzcXTZo0EcOGDRORkZF253nDpDqJ9yD9R7j1Guk/zEj/8T+k/7DFG/yHbFBIKqWoqEh06tTJZnWPypyZhdDQUJtVOypa6aE84eHhla78UJ6ff/5ZhIWFCYPBUO1rJFVz5513itdff936vzvKTgghPvjgA7tVS1xFRQ7B2/EGhyCRuBLpPxoe0n/UDd7gP+SkbEml+Pv7s27dukrHTpbnxIkTNGnSxNrtW112797Nq6++Wu3zCwoKiIiIQK+XI/dcyVtvvVXjXTdrWnZgnuBWvlvflTzzzDMEBgaSk5PjtjRcwdmzZwkMDOT111+v66xIJC5F+o+Gh/QfnsWb/Id8kiRVUt1JeBauvPJKjh49WuN0kpOTa3T+1KlTa5yGpGpCQ0N5+OGHa3RNTcsOsNu11pXs3r0bg8EAYLNMpDfSrl0768Q9Pz+/Os6NROJapP9oWEj/4Vm8yX9ohKhizSuJRCKRSCQSiUQicYAc8iSRSCQSiUQikUicRjYoJBKJRCKRSCQSidPIBoVEIpFIJBKJRCJxmgY/KVtRFC5cuECTJk3strWXSCSS+owQgry8PNq1a2e326qk9kj/IZFI1EpN/UeDb1BcuHCBjh071nU2JBKJxG2kpqbSoUOHus6G6pD+QyKRqJ3q+o8G36CwLAmWmppK06ZNa3St0Whk7969jBw5UpVrWatdH0iNakDt+sB5jbm5uXTs2NHrlz6sr0j/4Ri16wOpUQ2oXR94zn80+GVjc3NzCQoKIicnp8YOQVEUMjIyaNGihSqHE6hdH0iNakDt+sB5jbWp3yRVI/2HY9SuD6RGNaB2feA5/yEbFNLhSiQSlSLrN/ci769EIlErNa3f1Nkc8xAGg4Ft27ZZd1RUG2rXB1KjGlC7PmgYGhsaai9TtesDqVENqF0feE6j7KGoZZd1dnY2wcHBquwqU7s+kBrVgNr1gfMa5Rt09yL9h2PUrg+kRjWgdn3gOf+hzhkobsBkMlXYugsICKC0tLQOcuQZPK3P19fXow+1VqulefPmHkuvLlC7RrXrg4ahUc1I/+EZfHx80Ol0HkuvITyXateodn3gOY2yQVEFQgjS09PJzs6u8FhxcTH+/v6qXIO8LvRptVq6dOmCr6+vR9IzGAxERUUxduxYfHx8PJKmp1G7RrXrg4ahUY1I/+F5fcHBwbRp08YjaTaE51LtGtWuDzynUQ55qqJLJy0tjezsbFq1akVAQIBNJSWEQFEUtFqtah2CJ/VZNony8fGhU6dOHknTsnGLmjemUrtGtesD5zXKIU/uRfoPx3hanxCCwsJCLl68SHBwMG3btvVImrLuqd+oXR94zn/IHopKMJlMVmcQEhJS19lpELRs2ZILFy5gNBo98rZAo9Go/oeW2jWqXR80DI1qQ/oPz9OoUSMALl68SKtWrdw+/KkhPJdq16h2feA5jV41AyU6Oppbb72Vdu3aodFo2Lx5c5XX7N69m0GDBuHv788VV1zBxx9/7LL8WMa8BgQEVHjcMtFFURSXpelN1IU+y1Ank8nkkfQMBgM//PCD6ld4ULNGteuDhqFRbUj/UTf6LPfbE89KQ3gu1a5R7frAcxq9qkFRUFBA//79+eCDD6p1fnJyMhMmTODaa68lLi6O559/nkceeYTvvvvOpfly1EVkafWptZusLvR5+l7q9XrGjh2r2h0yQf0a1a4PGoZGtSL9h2f1eTK9hvBcql2j2vWB5zR61R0cP34848ePr/b5H3/8MZ06dWL58uUAhIWF8fvvv/P2229z++23uyubEpWh5orEgto1ql0fJgN6rTp/eEok9RnV1z2oX6Pa9SEEetw/6sOreihqyr59+xg7dqxN2Lhx4/j9998ddu2UlJSQm5tr84H/DbExmUw2tmXOuhDCzhZCkJubW+E5iqJUalsmrJW1LXE4sivLizvs8vo8qcloNFrLoKztqJwsttFotLEtaTmyi4uLiYyMxGg0YjAYrHmw2EIIO9uSR4utKIqNbcmvI9vdmgwGg41tMBiIjIykqKhINZrKlpMjffVZU1kdiqJw4cfHyVx9DcaCzBprkngn5etXtaF2fWB+ni3+Q62oXaPa9SEEyu6nyFk9DGPhZbcmVa8bFOnp6bRu3domrHXr1hiNRjIyMiq8ZsmSJQQFBVk/HTt2BCAhIQGA48ePc/z4cQBOnjxp/ZIVFhZSUlICmIdmlZaWotFo0Ol01nPy8vJsbMuPi9zcXOsPB0sFW7aytdhg/iFQtpGTl5cHmL/0FttgMJCfnw9AaWkpBQUFgLmxVFhYCMDs2bOZNGkSYP7RXFxcDEBRURHFxcV07tyZt956y04TQGJiIlqtFp1OR7NmzWjWrBnDhg3j66+/rpWmV199lTFjxhAWFsa0adMoKCioUJPJZOLo0aOAeVhbXFwcAElJScTHx9uVU3x8PElJSQDExcWRnJwMwIEDB0hNTQUgNjaWtLQ0wDxXx/L9iI6OZvjw4ej1eqKioqz5iYyMpLi42KaysTQ+LOUbFRUFQHZ2Njt37gQgIyOD6OhowLzCS2xsLACpqakcOHDAI5p27txpXaYyKiqKoqIiJkyYwPbt21WjqWw5GY1GbrrpJrZv364aTWXLyXTkY06eOMHl3EL0lw7VWJPEO/HmIU9z5sxhypQpDo937tzZOjKgPCkpKVbfWNZ//PTTT7XKU3n/YfFddYler2fChAmqfsOtdo1q10fsAnSH36VFcSL687+6Ny3hpQDi+++/r/Sc7t27i9dff90mbM+ePQIQaWlpFV5TXFwscnJyrJ/U1FQBiKysLCGEEEajURiNRiGEEPn5+SIxMVEUFRUJRVGEoihCCGG1FUURRqPRLlwIIUwmU6W2oih2tiUOR3ZF6Tiyw8PDxeTJkx2eExoaKt59990Krz19+rQAxPbt28W5c+fEsWPHxMMPPyx8fHxEfHy805qKi4ut96xbt24iISHBLv2ioiKRmJgo8vLyrOVhMBjsysaRbTAYbGxLHhzZpaWlIj8/XyiKIkpLS635sdhlwy22Jb8W22Qy2diW/DqyPaGpvF1YWChKSkpUo6lsOZlMJlFQUGCnr15pKikRSkGGEOm/C8PRdULZ+7JQts8Tpq9uFMq7eqG8hTj90wI7fVVpysnJEYDIyckREtdT2f0tKioSx44dE0VFRRVeW7a+9DbK+o+KCA0NFcuWLavwWHJystV/nD9/3sZ/HD161Ok8FRcXCyHM961bt24iMTGxwvOquu+uRFEUUVhY6JVl6CrUrlHV+va9KsTbCPE2omT/OzXWWFP/Ua97KNq0aUN6erpN2MWLF9Hr9Q6X6fPz86Np06Y2H8C6vJxOp7OxLW+PNBqNnS3+WdtX/NOlW/acsmtvV2RrNBo72xKHI7uyvJS3y1LTay1/mzdvTuPGjenZsyeLFy/GYDCwa9cuh5p8fHzo168fhw4dsub9tddeo0WLFuTl5eHn54dGo+G1115jypQp9O7d22H6lrcFOp3OxnZUThZbr9fb2Jb758gG2LFjh3WZWkseLLZFV1nbkkeLrdVqbWxLfh3Z7tbk4+NjY5tMJqKioqwa1KCpbDmZTCa2b99up8+rNRVl4fP3frQHlsA3N+LzUTM0H7WA/wxGv202xL5C/O+xaM7uRKMYEVdOJ944EKPRWGNNEu9EqHxIUPPmzQkICLDxH7/+6vgNqV6vp0+fPvz+++/WsNdee42QkBBycnLw8/MDYNGiRUyZMoVevXq5XUNVGI1GoqKi1DtcBvVrVKW+0nzY/TTsfQkA0zVL+W96V7drrNceZ/jw4XbdqFFRUQwePNh9exgIAUbzsCItENzYB0xFeGC+C+gDwIPd41qtluDgYAwGA6tWrQKo9L4eO3bMutJWbGwsWVlZvP322zz//PMEBQWRm5vLgw8+yNVXX83ChQs9JaNSfHx8mDx5cl1nw62oXWO90CcEZP8Fqb/C0c8h/UDF5wW0hmbd+SnrauIuNeFcu5lMHH8z2hZ9mOyFQ2MkNUT6D4fnS//hnahdo6r0CQWOfQExz0GBeZgtIxahu/oZPKHQqxoU+fn5/PXXX9b/k5OTOXLkCM2bN6dTp04899xznD9/nnXr1gEwb948PvjgA+bPn899993Hvn37+Pzzz9mwYYP7MmkshPcC3Rd/ZTySDz6NPZbciBEj0Gq1FBUVoSgKnTt3ZurUqQ7P79GjB++99x6dOnUiKSmJVatWERAQwMMPPwzArFmz2L9/P6dOneLLL7/knXfeYeTIkZ6SUyGWXia5S2b9xav1CQVStsFvr8P5PbbHAjtA26uh0w3QYRQEdwW9PwCd4+OJ//FHOg28GVr2NWvMzfVOjZLqI/2Hw/Ol//BO1K5RNfqKs2HLNEjZav4/qAuMehu6/8tjGr2qQfH7779z/fXXW/+fP38+AOHh4axZs4a0tDTOnj1rPd6lSxciIyN5/PHH+fDDD2nXrh3vvfeeXDLWRWzYsIEOHTpw4cIF5s+fz8cff0zz5s0rvaZdu3bccMMNLF26lA0bNvDOO+9Ydy/94YcfPJHtGmE0GomJiWHs2LEe2Zm7LlC7Rq/UV5gBiREQ/wlknzKHaX3MDYguE6HvPRDQyuHl/fr1IzQ0lKCgIMBLNUoklSD9hzpQu0ZV6LucBN/fCpdPgr4RjHgFBj4CevMwQU9p9KoGxejRoysdT7pmzRq7sFGjRnH48GE35qoc+gDzm566QF/xjqvuIjQ0lAEDBjBo0CCaNm3K7bffzrFjx2jVyvEPITC/SZo9ezZXXHEFc+fO9VBuncPHx4eJEyfWdTbcito1epW+zBNwcCmc2Aimf1ah8QuCPvfA4CchsF2FlymKwp49exg2bJh1t3hLYwK8TKPEeaT/kP6jnqF2jfVe37kY2DwJSrLNvd5TfoDWV9mc4imNXtWgqBdoNNZuYyEEJpPJZvK2mhD/7Aeh0+kYNWoUffr0YfHixaxYsaLS6wYMGADA448/7vUtfkVRyM7OJjg42GaitppQu0av0JefBntfhMQ15mFOAK0GwoD/B1feXeVQk59//pm4uDjOnDnDzJkz7eoTr9AoqT3Sf0j/Uc9Qu8Z6re/sTnPPhLEQ2g6Dyd9D4zZ2p3lKYz27e96FEIKCggKvXaUjJyeHI0eO2HzKDhk7f/683fGsrCzr8fL6nnjiCT755BPOnz9fabpLly4F8GzPkZOYTCYOHjxo3V9DjahdY53qMxSZ50es7gEJq82Nia6TYdo+mHkI+t5brXHrgwYNIiAggKuvvrrCH5dqL8OGiPQfFSP9h3ehdo31Vl9KFHw/0dyY6Hwz3LmzwsYEeFBjjRalVSG1WUfcmwkPDxeA3Sc8PFwIYV5HvKLjERER1nXE4+LibOJUFEX07NlTPPjggw7TPXr0qNBqteKRRx4RTZo0EYWFhTXKd32+55IGhKIIceIrIT4Nta7zLdZfLcT5WKejLCkpcV3+/kHuQ+FepP/wLv8hRP2+7xJJtTi1RYhlfma/s+kWIQzu+a7X1H9ohPDS1yMeIjc3l6CgIHJycqx7UlgoLi4mOTmZLl264O/vb3et+KdLV6/Xq7rLuib6Jtz+S/kAACAASURBVE+eTHp6Ovv27SM0NJQ33niD6dOnVzvNqu65q1EUhYyMDFq0aFH/ujurido1elSfoRBO/QhxH8CFveawwA5w3VK4chpoqpe+0Whk69atXHPNNQQHB1d5vrMaK6vfJLVH+g/H1IX/AM/6ELXXraB+jfVO318/ws93gqkUuk2BW74CnW+ll3jKf9SDu+fdFBUV1XUW3EpN9P3222/8+OOPLF68GK1Wy6xZs3jppZfYv38/JSUlbsyl8yiKQkJCAoqi1HVW3IbaNXpEX/YpiH0FVoWal+a7sNc8yXXEK3DPSQibUe3GBMC2bds4dOgQX375ZbXyrfYybKhI//E/pP/wTtSusV7pS9oEP91ubkz0uANu+brKxgR4TqPsoajFGyaJLTfeeCNCCHbu3AlAZmYm06ZNIzo6mq1btzJ69Ogq45D3XOI1lOTA0c/g+Jdwscx47qah5gZE/4egSXunos7NzeXLL79k3LhxdOnSxUUZrjgd2UPhPqT/cB2u8B8g77tEhQgBR1bCr4+CMJl7w8evA61711Wqqf+QqzzVAiEEBoMBHx8f1XZZ10TfL7/8YvN/SEgIUVFR7sqeS1AUhbS0NNq2bVs/ujudQO0aXa5PCIj/FGKeMTcqADQ66Hi9efnXnnfWuiJv2rQpDzzwQLXrDbWXYUNE+g9bpP/wTtSu0ev1mQyw82HznkYAvefA2M9Aq6t2FJ7S6IV3r37hrV2xrkLt+hRF4dSpU/Wju9NJ1K7RpfoKL8LPU2HHPHNjIqQXjPkI5qXBndshbJpTjYnS0lI2bNhgs0pOTX5Eqr0MGypqr1/Vrq8hPJdq1+jV+tJ+g69H/9OY0MC1b8C41TVqTIDnNMohT7LL2quQ91xSJygmSPgcYp6H4kxzo+GaJTB4fo3mRjhix44d7N27lyZNmvDII4+g13umc1gOeXIv0n94H/K+S+o9l47Cnhfg9E/m/30CYeIG6HqLR7MhJ2V7ECEEJSUlXruOeG1Ruz4wt9zPnDnjnW8nXITaNdZa37k9sH4IbH/A3Jho2R+m74chT7qkMQEwatQowsLCmDp1qlONCbWXYUNE7fWr2vVBw3gu1a7Rq/SZSmHvQvhioLkxodFC739D+NFaNSY8pVE2KGqJwWCo6yy4FbXrUxSF8+fPe0dl4ibUrtFpfXnnYMt0+OpauBgHfkFw/XKYcRBaD3JJviz4+PgwdepUOnTo4HRcai5DgJUrV1rfKg8aNIiYmBiH56alpTF9+nR69uyJVqvlsccesztn9OjRaDQau8/EiROt57z88st2x9u0qXhzKHeg9vpV7foawnOpdo1eo+/vw7B+KOxfZJ543e02mHMcbl4NQZ1rFbWnNMpJ2bVAo9EQGBhY19lwG2rXB6DX6xkxYkRdZ8OtqF1jjfUpRjj4Fux/zbzLKBroOxeuWQwBLV2Sp+LiYtavX89VV13FwIEDax2f2svwq6++4rHHHmPlypWMHDmSTz75hPHjx3Ps2DE6depkd35JSQktW7bkhRdeYNmyZRXGuWnTJkpLS63/Z2Zm0r9/f+68806b83r37s2OHTus/+t0NRuf7Cxqr1/Vrg/U/1yC+jXWub78NPPwpsQ1gAD/EBizEnpOdVkSntIoeyhqgRCC4uJi1Xbpql0fmLek/+uvv9y/JX0donaNNdKXfRq+vh72PG9uTLQbCTN/h7GfuqwxARAXF8e5c+fYsWMHxcXFtY5P7WX47rvvcu+99zJ37lzCwsJYvnw5HTt25KOPPqrw/M6dO7NixQpmz55NUFBQhec0b96cNm3aWD/bt28nICDArkGh1+ttzmvZ0nXfg8pQe/2qdn2g/ucS1K+xzvQZimD/YljdHRIjAGFeDnZOoksbE+A5jbJBUUvU+pBZULs+IQSXL19WtdNTu8Zq6RMKHHgD1vaG83vAtwncvAbujoHWV7k8T8OGDeOaa65h9uzZLpkYquYyLC0t5dChQ4wdO9YmfOzYscTGxrosnc8//5y7776bxo0b24QnJSXRrl07unTpwt13383p06cdxlFSUkJubq7NB/5XT5pMJhvbUl5CiApto9FYYbiiKJXaQgg72xKHI7uqvLjDLquvLjSZTCaMRmOFZVORbTQabWxLWo5sg8FAVlaWdYlcS7oWu2y4xbbk0WIrimJjW/LryPaEpvL25cuXKS0tVY2msuWkKApZWVl2+tymyWhESVwPEVfC3hfBUABtr8Y4NQbTzV9A49a11lS+nBRFITMz005fdTTVBNmgqAUajYbGjRurcg1xUL8+ML+dHDJkiMdW3akL1K6xSn35afDzXRDzLBiLodONMCsOeoeDC7/bZSegajQabrzxRlq3bu2SuNVchhkZGZhMJrt71bp1a9LT012SxoEDB0hISGDu3Lk24VdffTXr1q1j27ZtrFq1ivT0dEaMGEFmZmaF8SxZsoSgoCDrp2PHjgAkJCQAcPz4cY4fPw7AyZMnrU65sLDQuoRqQUEBpaWlaDQahBDWc/Ly8mxsyw+Q3Nxc6w+H3Nxc64+C8jaYfwiUbeTk5eUB5h8iFttgMJCfnw+YG3MFBQWA+ftbWFgImIfsWXa5Li4utvayFRUVWe2KNAHk5+djMBjQaDQoimLV4SlNBoPBmpfk5GTi4uIAc8MxPj7erpzi4+NJSkoCzD2LycnJgPk7k5qaCkBsbCxpaWkAREdHk5GRAcDu3bvp1q0ber2eqKgoa34iIyMpLi7GaDQSGRmJ0WikuLiYyMhI672w7LGRnZ1t3cwvIyOD6OhowDxPyNKgTk1N5cCBAx7RtHPnTrKzswGIioqiqKiIIUOGEBUVpRpNZcvJaDQycOBAoqKi3K/JUED+xglot86EvLOU+rXhwoC3YNo+4tL9XKapfDkZjUbS09PR6/U11lQT5LKxtVj2z9Kl6+/vr8of3XWhz9NL/plMJpKSkujevbvHxk57GrVrdKjPUGAem3pkJSgG0PrAjR+a50u4+PtcUFDAunXr6NKlC+PGjXP58+JsGdaHZWMvXLhA+/btiY2NZfjw4dbwxYsX88UXX3DixIlKrx89ejQDBgxg+fLlDs954IEHiI2N5ejRo5XGVVBQQNeuXXn66aeZP3++3fGSkhKbvRVyc3Pp2LEjWVlZNGvWzPqDWafTUVBQwJkzZ7jiiivw8/MDsDYiLBQXF+Pn54dWq7VpjCqKYp0kXpEN5vq5rG2Jw5FdPn132+X1eUpTUVERycnJXHHFFfj4+CCEQK/X25SNI9toNKLRaKy2VqtFq9U6tEtKSjh9+jQ9evRAURT0ej0ajQaDwWBt/BuNRhvbkieLbWl0WWxLPI5sS8+XuzQZDAZ0Op3V1mg0/PXXX3Tu3Nn6Pa7vmsqWk0ajISkpiS5dutjoc7mm3LPofvoXXDqC0PqgGb4A08DHQN/I5ZrKf/dMJhMnT57kyiuvtMZTHU2FhYVy2VhP4o3tsXXr1hESEmK3qdDtt9/O7NmzaxRXdfXt2rULX19fm5VZ3nnnHVq0aGFtXXsrljdxakbtGu30pe6Gtf3g8ApzY6LdSLhrN/S7z+WNCYCUlBQuXrxIYmKi9Y2vq1FrGbZo0QKdTmfXG3Hx4kWX9PAUFhayceNGu96JimjcuDF9+/a1vgktj5+fH02bNrX5wP8mcut0Ohvb8uPY8uO5vF32B3TZcK1WW6mt0WjsbEscjuyq8mKx161bR4sWLaxv+S3ht99+O+Hh4dWOp7y+yjTt3r0bPz8/9u7da71+2bJltGjRgvT0dKc16XQ664+r8mVTka3X621sS1qV2ZYem7I7gltsjUZjZ1vyaLG1Wq2NbcmvI9vdmnx8fGxsSyNNbZrK2sXFxe7TpBjRnfgPuo3D4NIRCGiFZuouGPYiOr9At2kqX05ln+eaaKoRooGTk5MjAJGTk2N3rKioSBw7dkwUFRXZHSspKRElJSVCURRrmNFoFCUlJcJgMLj83JpQWFgogoKCxNdff20Nu3TpkvD19RU7d+50eF2vXr1E48aNHX569epVabpPPfWUCA0NFdnZ2eLIkSPCz89PbNq0qUZ5r+yeSyRVUpovxC8PC/E25s8nHYVI3uaRpI8cOSIyMjI8klZ1qax+8yaGDh0qHnzwQZuwsLAw8eyzz1Z57ahRo8Sjjz7q8HhERITw8/OrVtkUFxeL9u3bi1deeaXqTAvn/Ud+fr7Iz8+3qedLSkpEfn6+KC4urvBck8lkDSstLRX5+fl2cTs6tybUZ/8hhPQhEi9BUYQ48bUQn/f8nz9a21+InDN1nbNqU1P/IXsonGTJkiUsWbLEOiELYO/evSxZssQ6/s7C22+/zZIlS8jJybGGHTx4kCVLlvDjjz/anLtixQqWLFnCpUuXrGFHjhypUd4aNWrE9OnTiYiIsIatX7+eDh06MHr0aIfXRUZGcuTIEesnLi6O/fv3ExcXx5EjR+x0lee1116jefPm3H///cyYMYNZs2Zx22231SjvnsZkMpGQkKDqyedq12jVd2anuVci7n3zgb73QXgCdB5beQROYhkrbqF///6EhIS4JS21l+H8+fP57LPPWL16NcePH+fxxx/n7NmzzJs3D4DnnnvOrnfVUk/l5+dz6dIljhw5wrFjx+zi/vzzz5kyZUqFZfPkk0+ye/dukpOT+e2337jjjjvIzc0lPDzcPUL/ITAwkMDAQFJTU63+46233iIwMJD/+7//szm3VatWBAYGcvbsWWvYhx9+SGBgIPfee6/NuZ07dyYwMNA67hxgzZo1Ncqb9B/VR+3PJahfo1v0CQV2PwE/T4XLJ81LwV73JkzbB03tl8F2N54qQ/XN8JMAcN999zFkyBDOnz9P+/btiYiIYM6cOZWO7Q4NDbX5X9RwDoWvry//+c9/6NevH6GhoZWOaZZIXIahgLbHl6A7+6X5/yYdYexnbmtIgHns/Nq1awkODmbatGmqnCztSe666y4yMzNZtGgRaWlp9OnTh8jISGudlJaWZvODGrDZ3+PQoUN8+eWXhIaGkpKSYg3/888/2bNnj3USYnnOnTvHtGnTyMjIoGXLlgwbNoz9+/fb1YUNDek/JBInUYwQdd8/+0oAVz8PQ54BP++cw+ZK5KRsJydlW8ajlR27ZlkarPz4M1ec68xk2kGDBnHHHXcwbtw4hgwZQkpKinVVkoro3bs3Z86ccXg8NDSUxMTEStP87LPPmDdvHk2aNCE+Pr7S9CrC05OyJfWcc9Gw7R7IPmX+v+99MOptt1feqampfPHFFzRu3Jh///vfXjvhuT5Myq7POOs/LPNsAgICrPV8aWmpdUKlZXJo2XMbNWpkHTNtWclIp9PZxO3oXMs46ZpQH/0HSB8iqUNK8+G/s+CvzaDRwbjPzasJ1lNq6j/kazUn8fX1RQhBUVERjRo1ss7Or+iHv6+vr11YTc91hrlz57Js2TLOnz/PmDFjqqycIyMjbYZwlH/DVJVTOnXqFI8//jirVq3i66+/Zvbs2fzyyy9Wx+aNmEwm4uPj6devnypXQAKValSMELsQflsCCEr92qCbsBrdFeM9knzHjh2ZOXOmzcRcd6LKMmzANG7c2M5/+Pr6Vlj/l983A8wvnCqqjx2d6wzSf1RNQ3gu1a7RZfoyj8OPt0PWcdD5wS1fQbfJrstoLfBUGcoGRS3x5uViZ8yYwZNPPsmqVatYt25dlefXpsvaZDIxa9Ysxo4dy7///W/Gjx9P3759eeedd3jqqadqpcPdNGrUqK6z4HZUpTHvHGyZZt6gDlB630NK+3l0DXX9BnVluXz5MjqdztqA6NTJs2NhVVWGEkD6DwvSf3g3atdYK31CwImNsP1+MORDYDu45RtoP8J1GXQBnihD72361wM0Go317ZI30rRpU26//XYCAwOZMmVKja+vib7FixeTkpLCp59+CkCbNm347LPPePHFF2s8qdyT6HQ6rrzySlW+ebGgKo0p22DdgP/tdn3LV2hv/pwefYe4VV9WVhZr1qxh7dq11g2EPImqylACSP9RFuk/vBe1a6yVvpxk+P4WiJxubkx0vN68aaqXNSY8VYayQVELhBAUFBR45V4UFtLS0pgxY4bNmNzqUhN9CxYs4MKFCzYrqUyePJmSkhIGDBhQ47Q9hdFo5ODBg05tM19fUIVGocC+RfDdeCjOhFZXmSvunlM9os+ybn5dDb9QRRlKbJD+439I/+G9qF2j0/r++BjW9IbkSND5wvCX4Y4oCGjllnzWBk+VoRzyVEu8tdWelZVFVFQUO3fu5IMPPnA6Hm/V5yo0Gg3NmjXz2reErqDea8y/YJ54nbLN/H+/B+D65aA3T7j0hL7g4GDCw8Px8fEhMDDQbek4ot6XoaRCvLV+lf6jejSE51LtGp3Sl7gOdjxotjteD2M+guY93ZNBF+CpMpQNilqg0Wi8dhWJq666isuXL/PGG2/Qs6dzX3Rv1ucqdDod3bp1q+tsuJV6q1EIOPEl7HwYii+bGxBjPrZbNcNd+i5dukRpaSnt27cHoFmzZi5Po7rU2zKUOMSb61fpP6pHQ3gu1a6xxvpStkPUP/u/DHoCRr0FXt7Y8lQZyiFPtUAIQX5+vld2WaekpJCTk8OTTz7pdBzerM9VGI1GYmNjVdudC/VUY2k+/Hw3RM40NyZaD4IZv1e4BJ879GVmZrJ27Vq++OIL0tPTXRavs9TLMpRUijfXr9J/VI+G8FyqXWON9P0dBz/dbl5lsOfdMOpNr29MgOfKUPZQ1BJnl+SrL6hdn1arpX379l69NGFtqXcaL8VD5AzISACtHoYtgKHPgq7i76I79DVp0oSQkBBKS0u9Yv+GeleGkmqh9vpV7foawnOpdo3V0icEHP0Mfn0UjEXQYRTcvAY09eOeeKoMZYOiFmg0Gqcmq9UX1K4PzA+a2nfFrTcahWLeV2Lfy+Y3QI3bwK3fVblihjv0+fr6Mn36dBRF8YolE+tNGUqqjdrrV7Xrg4bxXKpdY5X6ii+bd75O+s78f6cxcOvXoK8/321PlWH9aF7VMYqiVBguhCAvL0+1Xbp1oc/T99JoNBIdHa3a7lyoJxoLM2DzZNj7orkx0e22ai+/5yp9aWlpJCQkWP/38/PzisYE1JMylFSI9B+e1efofruDhvBcql1jpfoyT8CXV5sbE1ofuO4tuGMb+NfdfDpn8FQZyh6KSvD19UWr1XLhwgVatmyJr6+vzSx5IYR18x41roDgaX1CCC5dulStXVVdhVarpWvXrqrtzoV6oPHMDvjvbChIM+8weuNK6HtPtS93hb7Lly+zbt06SkpK8PPzo3v37k7H5Q68vgwldkj/4Xn/UVpayqVLl9BqtRXuOu5qGsJzqXaNDvUlb4Utd0NJDjTpBJO+gzaD6yaTtcRTZSgbFJWg1Wrp0qULaWlpXLhwoa6z0yDQaDR06NDBY8sNWsYWqhmv1WgsgT0vwKF3zP83vxImfAmtB9YoGlfoCw4OJiwsjIyMDI/vgF0dvLYMJQ6R/qNuCAgIoFOnTh75AdwQnku1a7TTp5jgt8Ww7xXzMNz218Kkb71yf4nq4qkylA2KKvD19aVTp04YjUZMJpPNMaPRyO+//87gwYPR69V3K+tCn4+Pj0fXLrd0BV533XWqLEPwUo2Xjpp7JS79swtu/wdh1NvgE1DjqFyhT6PRcOutt2I0Gr1yIqlXlqGkSqT/8Kw+nU6HXq/3WI9PQ3gu1a7RRl/hBfPKgudjzAf7zoUbPzRvXFeP8VQZqu/b4QYsQ3DK/9BQFIVevXoREBCgyu5AtesDc8u9T58+qtUHXqbRVAoHlsL+10AxQKMWMPZz6DbJ6Sid1Xf27FlOnTrF6NGj0Wg0Hh1qV1O8qgwlNUL6D3Xqg4bxXKpdo1arpU+vnmj/+NC8IEhJNvg2MQ+97TWzrrPnEjxVhrJBUQu0Wi2tWtXfbrCqULs+kBo9yt+HYdu/zcvCAnSdbN5hNLBtraJ1Rl9+fj7r16+ntLSUoKAgrrrqqlrlwd14TRlKXIbay1Tt+kBqVAPaM9to9evjcPmkOaDNUJj4JQR3rduMuRBPlaE6m5wewmAwsG3bNgwGQ11nxS2oXR9IjR7BWGyeK7F+qLkx4R8CEzfA5O9r3ZgA5/QFBgZy44030rVrV/r27VvrPLibOi9DictRe5mqXR9IjfUaISD2Fdg0AS6fRDRqCWM+hml7VdWYAM+VoUaodc26apKbm0tQUBA5OTk13sBKURSys7MJDg5WZXeg2vWB1Oh2LuyHbfdA1nHz/z3vghvec+kEt9roUxSlXpS7sxprU79Jqkb6D8eoXR9IjfUWkwG23w+JawAoDrsP3+vfQNuofi0HW1085T9qNeTJYDCQnp5OYWEhLVu2pHnz5rWJrt6h1WpVrVnt+kBqdBuGQtj7EhxaBggIaG0e3tT9NpcnVV19p06d4vDhw9x2223WiWn1xUF60/e0odf7rsKbytQdqF0fSI31krxzsDUczu4073R940r8+z9Q17lyK54qwxp70/z8fD755BNGjx5NUFAQnTt3plevXrRs2ZLQ0FDuu+8+Dh486I68eh0Gg4EtW7aoryvwH9SuD6RGt5D1J/xnEBx6FxDQazbMOeaWxgRUT19JSQnffvstx44dY//+/W7Jhzup6++prPddT12XqbtRuz6QGusVQkDCGljbx9yY0AfAlB8x9LpHHfoqwVNlWKMhT8uWLWPx4sV07tyZSZMmMXToUNq3b0+jRo3IysoiISGBmJgYvv/+e4YNG8b777/vdRtElac2XdaWnUCbNGmi2o2J1KwPpEaXk7INfr7LvBlQYDu4aRVcMcGtSVZX3+nTp4mLi2PKlCkeXZrYFThbhq4Y8qTGet9VSP/hGLXrA6mx3lB4CbbdC6d/Mv/fZijcvAZCwtShrwo85T9q1KC48847WbBgQZWTGIuLi1m9ejW+vr7MnTu3utHXCXKMsUTiAoQwD2+Kfsq8GVC7keadRRu3rtNs1Zc5Eu7CFfWbGut9VyH9h0Ti5ZzZYd7zqCDNvJ/EiEUw+AnQykVOq6Km9VuNPO0333xTrRVR/P39eeihh1TvVAwGAz/88INqu8rUrg+kRpdgLDYvB7v7CXNjos+9cOcvHmtMONJ3/PhxPv30UwoKCjySD3dSl99TWe+7B7XXPWrXB1KjVyMU2PMifDvW3JhoHgYzDsLQZ2waE/VWXw3wlEanV3nasWMHY8aMqfDYJ598wgMP1I9JLrXtsi4uLsbf31+VXWVq1wdSY63JT4Mf/wVp+0Gjg9HLYOD/gQfvZUX6jEYjH374IdnZ2Vx77bXccMMNHsuPO3C2DF39Bl0t9b6rkP7DMWrXB1Kj11KaZ97x+tSP5v/7PQCj3wWfALtT66W+GuIp/+H0WICJEyfyxBNPUFpaag27dOkSt956K88995yz0dY71LgVfVnUrg+kRqf56wdY18/cmPBvBrdvhase9mhjwkJ5fXq9npkzZzJs2DBGjx7t8fy4A2/4nsp637V4Q5m6E7XrA6nR68hJgQ0jzI0JnR+MXwc3fVxhY8JCvdLnJJ7Q6HSDIjo6mp9++okhQ4aQmJjIli1b6NOnD/n5+fzxxx9OZ2jlypV06dIFf39/Bg0aRExMTKXnr1+/nv79+xMQEEDbtm3597//TWZmptPp1wSj0UhkZCRGo9Ej6XkatesDqdEpDAUQdR/8MAWKMqDlAJh+AEIrfnPtbsrqKykpsYaHhIQwbtw4Vcyh8Jbvqbvq/YaIt5Spu1C7PpAavY7LSbDxWshIgMZt4K7d0GtWpZfUK31O4jGNohbk5+eLmTNnCj8/P+Hj4yPeeOMNoSiK0/Ft3LhR+Pj4iFWrVoljx46JRx99VDRu3FicOXOmwvNjYmKEVqsVK1asEKdPnxYxMTGid+/eYsqUKdVOMycnRwAiJyenxvlVFEWUlpbWSrM3o3Z9QkiNNSbnjBBr+wvxNkK8rRFi11NCGIprH28tsOiLi4sTb775pkhLS6vT/LgDZ8uwNvWbI1xd79dnpP9wjNr1CSE1ehUZx4X4qK3ZN62+Uojc1GpdVm/01QJP+Y9avbo7efIkBw8epEOHDuj1ek6cOEFhYaHT8b377rvce++9zJ07l7CwMJYvX07Hjh356KOPKjx///79dO7cmUceeYQuXbpwzTXX8MADD/D77787nYeaouZWLahfH0iN1ebCPlg/BC79Yd7p+s4dMOpN0PvVPu5aUlpayqFDhygsLOTo0aN1nR234C3fU1fX+xZq0judlpbG9OnT6dmzJ1qtlscee8zunDVr1qDRaOw+xcXFTqfrarylTN2F2vWB1OgVXDoKX482T75u0Qem7oImHap9udfrcwGe0Oh0g2Lp0qUMHz6cm266iYSEBA4ePEhcXBz9+vVj3759NY7P8oNg7NixNuFjx44lNja2wmtGjBjBuXPniIyMRAjB33//zbfffsvEiRMdplNSUkJubq7NB8BkMln/VmQbjUYbW1EUjEYjUVFR1vHElnAwz6ova4t/5r5bbCGEnQ3Y2Iqi2NiWL4Qj22Qy2djOaKpMnxo0lbeLi4uJiorCaDSqRlP5cjIYDERFRVFUVOS0JtPRNeYKu/AiokU/mHEApcPoOtNUtpwMBgM7duzgtttuY8yYMdx44431spwq++5ZytBoNNZYkytxdb1v4auvvuKxxx7jhRdeIC4ujmuvvZbx48dz9uzZCs8vKSmhZcuWvPDCC/Tv399hvE2bNiUtLc3m4+/v73S6rsRSv6r1x4za9YHU6BWc+QU2XgOFf0PL/nDnzhqtMOj1+lyAxzTWqP+jDG3atBGRkZE2YaWlpeLJJ58Uvr6+NY7v/PnzAhB79+61CV+8eLHo0aOHw+u++eYbERgYKPR6vQDEpEmTRGlpqcPzFy5cKAC7T3R0tBBCiKNHj4qjR48KIYQ4fPiwOH78uBBCiAMHDoikpCQhhBB79+4VKSkpQgghKKChAAAAIABJREFUdu/eLc6dOyeEEOKXX34Rf//9txBCiK1bt4rMzEwhhBA///yztcto8+bNorCwUJSWlorNmzeL0tJSUVhYKDZv3iyEMHcx/fzzz0IIITIzM8XWrVuFEEL8/fff4pdffhFCCHHu3Dmxe/duIYQQKSkp1nuWlJQkDhw4IIQQ4vjx4+Lw4cNSk9RUO02KIvK3zf9niBOicMM4EbPzv16j6auvvpLlVIkmVw95cnW9b2Ho0KFi3rx5NmFXXnmlePbZZ6u8dtSoUeLRRx+1C4+IiBBBQUFuS1cI9wwpk0gk1SRhrRDv6s3+acO1QhRm1nWOVEVN6zenGxSXLl1yeGzXrl01js/SoIiNjbUJf+2110TPnj0rvCYxMVG0bdtWvPnmm+KPP/4QW7duFX379hX33HOPw3SKi4tFTk6O9ZOamioAkZWVJYQQwmg0CqPRaGcbDAYb22QyCUVRRFZWll24EGYnW9a2jF2z2GXHtFlsIYSNbTKZbGyDwVCpbTQabeyKdFSlqby+zMxM6zlq0FRROV2+fNlujGF911TezsnJESUlJTXTVFIiRPSz1saEiHlemIwGr9CkKIr47bffxKJFi0RiYqLIzs6201ffyqmy757JZBKZmZl2+qrS5OofvK6u94UQoqSkROh0OrFp0yab8EceeURcd911VV5fWYNCp9OJTp06ifbt24uJEydaG4XOpiv9h/Qf0n94gabMJGH64U6rb1J+nCqEociputZkMkn/4UCHx+ZQtGjRwuGxUaNGORWfTqcjPT3dJvzixYu0bl1x99WSJUsYOXIkTz31FP369WPcuHGsXLmS1atXk5aWVuE1fn5+NG3a1OYDoNPprH8rsvV6vY2t1WoxGo3ExsZahy1YwgF8fHxsbMvavxZbo9HY2YCNrdVqbWzLsl+ObJ1OZ2M7o6m8vn379ln1qUFTeRtg7969GI1G1WgqX04mk4mYmBibceRVaiq5jM+WO+DAUvNNuv49uGYxWp3eKzQBnD9/HkVROHfuHHv27LHTV9/KqbLvnslkYt++fRiNxhprciWurvcBMjIyMJlMdvV869at7fxBTbjyyitZs2YNP/74Ixs2bMDf35+RI0eSlJTkdLpLliwhKCjI+unYsSMACQkJgHkzxePHjwMQHx9vTSsuLo7k5GQADhw4QGpqKkajkejoaM6fPw+YV9DKyMgAYOfOnWRnZwMQFRVFXl4eAJGRkRQXF9us2lJcXExkZCQAeXl5REVFAZCdnc3OnTutWqOjowHz/BPLMOLU1FQOHDgAQHJyMnFxcQAkJSURHx9fY00AsbGxpKWlYTQaiYmJ4e+//1aNporKac+ePdYhJWrRVLacsrOziYmJ4b///W/dazp5DPa8iHZNb7RJ3wAazrWbydm+S0HvX21NZcspPz/fqq8+l1Nl3z2LRqPRWGNNNaJazQ4PMXToUPHggw/ahIWFhTnsfv7Xv/4lpk6dahMWGxsrAHH+/PlqpSm7rCWSchTn/G8lp2W+QvzxaV3nqEJMJpM4evSoqlfnqC31oX5zpne6LI56KMpjMplE//79xcMPP+x0uq7soajMVuvbfKlJanJaU3GeUDbd8r9eiY2jhfj7SP3W5OXlVFP/4VW7ecyfP59Zs2YxePBghg8fzqeffsrZs2eZN28eAM899xznz59n3bp1ANx6663cd999fPTRR4wbN460tDQee+wxhg4dSrt27dyeX0VRyM7OJjg4WBVr3ZdH7fpAarTDVGre+dqyktPt26DVAM9ktBqcPXuWTp06Aea38H369EFRFC5fvizLsJ7iTO+0M2i1WoYMGWJ9I+hMun5+fvj52a9qVrbHqnwY2G4qZbEVRSE3N5fg4GC7cyy9TjW1y/deWb4r1bEd5b0mmirTpwZN5W2dTmd9LtWiqXx+y9avZXtRPaqpJBfd5klwbjfo/WFcBJqed4FGQ9kfsdXVVF6fpQzL66tP5VSZrSgKeXl5Vv9RE001was801133cXy5ctZtGgRAwYMIDo6msjISEJDQwFzN0zZ1TfmzJnDu+++ywcffECfPn2488476dmzJ5s2bfJIfk0mEwcPHrSu7KI21K4PpEYbhAJb/w1nfwGfQPhXpFc1JmJiYoiIiGD37t024bIM6ze+vr4MGjSI7du324Rv376dESNGuCwdIQRHjhyhbdu2Hk3XEWouU1C/PpAaPULxZfjmBnNjwrep+SXXlXfDPz/+a0ud6/MAntKoEeKftQobKLm5uQQFBZGTk2OdTyGRNDhK82DbXPjza9Dq4bYt0Hls1dd5kL1797Jjxw5Gjx7t9Hj9hkZ9qd+++uorZs2axccff2ztnV61ahWJiYmEhoba9U4DHDlyBIC5c+fSs2dPnnrqKXx9fenVqxcAr7zyCsOGDaN79+7k5uby3nvv8cUXX7B3716GDh1arXSror7cX4mkXlKSC9+OgfSD0Kgl3L4VWl9V17lqMNS0fnNqyFNSUhKtWrUiKCjIGpaQkEDXrl05ffo0Xbt25c8//yQsLMym+0VtKIpCRkYGLVq0UN0wBFC/PpAaAUjZDjvmQc5pc2Pi5rVe15gAGDlyJJ06dbJOhLUgy9AzuLPev+uuu8jMzGTRokWkpaXRp0+fSnunAQYOHGi1Dx06xJdffkloaCgpKSmAecLh/fffT3p6OkFBQQwcOJDo6GhrY6I66boTbyhTd6J2fSA1upXSfNg03tyY8A+BqTvNm9a5GFmGrsOpmF966SXefPNN6/8pKSkMHDiQwsJCrr32WuLj4xk4cKB1xrpaURSFhIQE6ypIakPt+kBq5OBb8N1Yc2OiSUe4KxrCpns+kxUghODo0aM23bTlGxMgy9BTuLvef+ihh0hJSaGkpIRDhw5x3XXXWY+tWbOGXbt22Zwv/tn8r+zH0pgAWLZsGWfOnKGkpISLFy+ybds2hg8fXqN03Yk3lKk7Ubs+kBrdRvrv5mFOF2LBLxju2O6WxgTIMnQlTjUobr75ZuuyWmBepmrw4MGEhITYVO5qR6/Xc8MNN7hleUZvQO36oAFrFAL2LYLop83/938Q5iRCO/sfXHXFrl272LRpE5s2baq0PmmwZehhZL3vWryhTN2J2vWB1Ohy8tPgv+Gwfoi5Z8IyZ6L1wKqvdRJZhq7DqQbF+PHjiY+Pt66O8d///pcJEyYAWGfJNwQURbGuha9G1K4PGqhGIWDP8xC70Pz/Na/DmJXg26TuMlkBHTp0QKfT0alTp0rrlQZZhnWArPddizeUqTtRuz6QGl1KQTps+P/snXl8FEXeuJ+ZZJIQznBFDDcqghG5BAERFSSCAoIIiAjrtau+ugL67rI/3dX1fllX2EO8EFRAQU4RIyQQIECAeERDIGi4AySEEBISSCYzPfX7Y8yYyUVmpnump9LP55OPNU1Pdz35ttX5dlVXDYYDv74n1WOa8yFXuwF1f89HjBiqh1cJRXR0NH369CE+Ph6r1crWrVsZNWqU2nXTPQ6Hg8OHD0t7IcruBw3QUQjYNuu3BetunQcD/xLYCtbC1VdfzVNPPcXAgQPr3K/BxTBAGO2+uughploiux8YjqpRXgxr7oILx6BFN5i6F0YvgabttTvnrxgxVA+v+z9GjRrF119/TYcOHYiMjKR///5q1isoCA0N9dt420Agux80MEfhgM1PQPr7zn8YvgB6PxHYylVCCEFKSgp9+vQhMjISwDWHfV00qBgGGKPdVw+9xFQrZPcDw1EVFBt8NQnyfvh1JqdNzqTCTxgxVA+vX/ceNWoUW7ZsYf369cTFxalZp6DB4XBw/PhxaTNb2f2gATkezUJ887tfkwkTxC3SVTIBsHXrVjZv3szSpUs9ikeDiaEOHI12Xz30ElOtkN0PDEefsVshfhoc2wihkTDha78mE2DEUE28TihuuukmQkJC+Oijj1zjaCvTEMbUyj72TnY/aCCOJblEJd6LKXMJmEJg9DKIfSjQ1arG9ddfT5MmTbjxxhs9mtquQcRQJ45Gu68eeompVsjuB4ajT5QWOGcYrFj76O4VcMWN6p6jHhgxVA+fFrabMmUKq1evJi8vj6ioKACioqLYuHEjgwYN4uDBg1xzzTWqVVYLjIWJDKSm+CSsHAHnf4bw5nDX59BFv+PerVYr4eHhga6GNGjRvsnQ7quFcf8wMPCCs+mwYTIUHHTO5DR2DXQaHuhaGVTB0/bNpxUuZs6cybx581w3FYA5c+bQvn17XnzxRVq3bu3L4XWPoigcOnRI2iXbZfcDyR2LjsGKW+D8z9gaXYkyZbeukgmHw8GmTZs4e/asa5s3yYTUMfwVPTk29HZfLfQUUy2Q3Q8MR485dxA2TIFPb3AmE03aw5SdAU0mjBiqh08JxU033cRTTz3ltu3Pf/4zMTExvPjii7Rs2dKnyukdIQTnz5+Xdu512f1AYseCX2D5UCg6imjejQPXv4tocXWga+XGjh072LNnD0uWLMFms3l9HGljWAk9OTb0dl8t9BRTLZDdDwxHj0j/ED6JhZ9XOD93nwwP7IU21/teSR8wYqgePg15kgGjy9pAOvIznMOcLp2Blj3gvs3Q5MpA16oapaWlLF26lCFDhtCzZ89AV0dKjPZNW4zfr4FBPUh7B5J+fQjR9W64+TVo0yuwdTK4LH4d8tTQURSFgwcPSttVJrsfSOh4Jg1W3OpMJtrcAJO3oTSK1qVjo0aNeOSRR3xOJqSLYQ00BMeGhuwxld0PDMd68f3835KJfs/CPet1lUwYMVQPI6HwkdLS0kBXQVNk9wOJHI9vhpW3Qdk552wZ9yVBZFtAH46KorB69Wp++eUX1zZPZnOqCz34aU1DcGxoyB5T2f3AcKyT9A+dC6kCDPgLDPsH6HAmOCOG6mAMeTK6rA1kYP8nsOkREArEDIXxGyBcX9fz7t27SUhIIDw8nGeeeYZGjRoFukrSY7Rv2mL8fg0MauFIPKwb67wnDZgDN7+uy2TCoHaMIU9+RFEUMjIypO0qk90PJHFM/wA2/s7ZcPeYBhMT3JIJvTgOGDCA66+/nokTJ6qaTOjFT0sagmNDQ/aYyu4HhmOt5H4HX93nvCddN0PXyYQRQ/XwKaHYsWMH06ZNY9CgQZw6dQqAJUuWsHPnTlUqZ2BgUAcOO2x7FhL/4Pzc548w6lMIjQhsvSpReSGdkJAQJkyYwFVXXRXAGhn4itHuGxgY1EpOKqy9C+yXoNMdcMeHuk0mDNTF64Ri9erVxMXF0ahRI9LS0rBarQAUFxfz+uuvq1ZBPRMSEkJsbCwhISGBroomyO4HQezosEP8NPj+befnm16A2+bX2HAHytFms/HZZ5+xa9cuTc8TtDH0AL04Gu2+euglplohux8YjtXIXOZc++hSHrTtA2NWQYhF+0r6gBFD9fA6oXj11Vd57733+PDDD7FYfrtgBg8ezA8//KBK5fSOoiikpaVJ21Umux8EqaO9DL6+3zmft9kCd6+AIa/U+hQoUI6ZmZkcPnyY7du3c+HCBc3OE5Qx9BC9OBrtvnroJaZaIbsfGI6/7WSD5D87H3IpVug2FiZv1917fDVhxFA9Qr394s8//8wtt9xSbXuzZs0oLCz0qVLBhOwvlsruB0HmWHYevrwHTiY7k4kxq+CqsZf9WiAce/XqRVFRER07dtT8hdWgiqGX6MHRaPfVRQ8x1RLZ/cBwpPAIxE+FnL3OzwP+Aje/CqbgeUW3wcdQJbxOKNq1a8ehQ4fo3Lmz2/adO3fStWtXX+sVFISEhHDttdcGuhqaIbsfBJnjheOwehQUZEJYMxi7BjoNv+zX/Olos9kICQlxTQc7dOhQzc8ZVDH0Er04Gu2+euglplohux80cEchIHMpbPkfKC+G8BYw8kO4ZqL/K+kDDTqGKuN1CvmHP/yBZ555hr1792IymTh9+jTLli3jueee48knn1SzjrrFbrfz7bffYrfbA10VTZDdD4LIMe9H+GyQM5loEgNTdtQrmQD/OVqtVpYuXcq6devcXsbWmqCJoQ/oxdFo99VDLzHVCtn9oAE7Xsx19pR/M92ZTMTcDNN/CrpkAhpwDDXA6x6KP/3pTxQVFXHbbbdRVlbGLbfcQnh4OM899xxPPfWUmnXULSaTiaioKEySzmAgux8EgaMQsG+hc3Eg20VoHQsTvoGm7et9CH85nj59mpMnT3LmzBnOnz9Pq1atND1fBbqPoQroxdFo99VDLzHVCtn9oIE6Zq2FhEehrMA57HbQizDgz2D2+s/JgNIgY6jVeXxd2O7SpUscOHAAh8NBz549adKkiVp18wvGwkQGusVWCpsehp+XOz93HAFjVkJEi8DWqw4yMzNp3rw5V155ZaCrYoB27Vuwt/tqYdw/DBoMwgG7X4bdf3d+btsH7vwY2vQKaLUMtMPvC9tFRkbSv39/BgwY0OBuKna7nZSUFGm7ymT3Ax07XsyFlbc5kwlzKAx7CyZu8iqZ0NKxtLSUsrIy1+cePXr4PZnQbQxVRG+ODbndVwu9xVRtZPeDhuO4Z8cWHOsn/ZZM9J0JU/dKkUw0lBj6w9HrPqqXX365zn//29/+5u2hgwaz2UxMTIzrBVTZkN0PdOp4Nh3WjoHiExDREsauhg63en04rRxLS0tZsmQJZrOZadOmERERmAX1dBlDldGLo9Huq4deYqoVsvtBA3EsPUufrNmYz6c7hziNeA+ufzjQ1VKNBhFDPzl6PeSpT58+bp9tNhtHjx4lNDSUbt26Bc2c5EaXtYGuOPI1bJgCthKIugbGb4CoqwNdqxrJy8vj448/xmQy8bvf/Y42bdoEukoGVVC7fZOl3VcL4/5hIDXnDsKaUXDhGES0gnHroP3Nga6VgZ/w25CntLQ0t5+MjAxycnIYPnw4s2bN8vawQYXdbic5OVnarjLZ/UBHjkLA9/Ng3VhnMtHxdpi6R5VkQivHtm3b8uCDDzJjxoyAJhO6iaGG6MXRaPfVQy8x1QrZ/UByx9xvYflguHCM0vAY7JN2SJlMSB3DX/GXo6r9H82aNePll1/mr3/9q5qH1S1ms5lu3bpJ21Umux/oxFGxwebHYdts54tvvX4PEzZCRJQqh1fTsaSkhHPnzrk+t2vXjrZt2/p8XF/QRQw1Rs+OarX7CxYsoEuXLkRERNCvXz927NhR6745OTlMnTqV7t27YzabmTlzZrV9PvzwQ4YOHUpUVBRRUVGMGDGC1NRUt31eeuklTCaT288VV1zhk0d90XNM1UB2P5DY8dwBWH0nlJ1HXDGQwlHxmFt1D3StNEHaGFbCX46qH72wsJCioiK1D6tLZB97J7sf6MDRocCGSZD+AWCCW992jlENsah2CrUcS0pK+OSTT/jkk08oKChQqXa+E/AY+gG9O/ra7q9YsYKZM2fy/PPPk5aWxtChQxk1ahQnTpyocX+r1UqbNm14/vnnueGGG2rcZ9u2bdx///1s3bqV3bt307FjR0aOHMmpU6fc9rvuuuvIyclx/ezbt89rD0/Qe0x9RXY/kNTxwnFYNdI5LewVAzDdt5l23XrJ5VgJKWNYBX85ev1S9r///W+3z0IIcnJyWLJkCXfeeafPFQsGKrqRbrnlFkJDg3MO5rqQ3Q8C7CgEJP0RDq2DkHDnlLDdxqh+GrUcK57ggvP/d71gXKf+Q6t2/+233+aRRx7h0UcfBWD+/Pls2rSJd999lzfeeKPa/p07d+Zf//oXAIsWLarxmMuWLXP7/OGHH7Jq1Sq2bNnC9OnTXdtDQ0P91itRGb3EVCtk9wMJHc9lOhesKzkFLXvAhHjs5giSk5LkcayCdDGsAX85en3kefPmuX02m820adOGGTNm8Je//MXnigUDZrOZ2NhYaTNb2f0ggI7C4UwmfloAmGD0Uk2SCVDPsXHjxkyfPp3y8nJatmypUu18x7hO/YcW7X55eTnff/89c+bMcds+cuRIUlJSvK5rVS5duoTNZqt27WZlZXHllVcSHh7OwIEDef311+natWuNx7BarVitVtfnCxcuAKAoitt/Q0JC3Mp2ux2TyeQqm81mzGYzPXr0cB2r8nabzUZISIirHBoaislkcpUr9q9ctlgsCCFcZYfDgaIorrLD4SA0NLTWsqIoCCFc5Zo86uNUm58sTpXLDoeD6667LvidSi8Q8t2bmL57Cxw2RNOOmCYmYAtthtlkIjY2FkVRCAkJCR6nev7/ZDabue6666r5BbNT1WvPZDJx7bXXYjabPXLyFK/vTkePHnX7OXz4MHv27OH111+nadOm3h42qDCbzbRt2zbgN3mtkN0PAuToUGDTI/DjO4AJRrwL10zU7HS+OBYVFXHs2DHX5yZNmugqmQDjOvUnWrT7+fn5KIpCdHS02/bo6Ghyc3PVqDYAc+bMISYmhhEjRri2DRw4kE8//ZRNmzbx4Ycfkpuby+DBg93eE6rMG2+8QfPmzV0/HTp0ACAjIwNwLuyYmZkJQHp6OllZWYDzZfajR48CkJqaSnZ2NmazmaysLM6cOQNAcnIy+fn5ACQlJVFYWAhAQkICxcXFAMTHx1NWVobdbic+Ph673U5ZWRnx8fEAFBcXk5CQADiHoSUlJQHO33FycjLgfP+kIlHLzs52vVdy9OhR0tLSAGeSlZ6e7rETQEpKCjk5OZjNZjIzM13DI2VwqhqnrVu3YrFYMJvNwet0eg/lC3tgSn0DHDbymg6k6M4N0LQ9CQkJXLx4kbZt27Jx48bgcaL+/z9VPCDbuHGjNE5V41ReXs63336L2Wz22MkTPJo2dvbs2fU+8Ntvv+1xZQKBL9P+2Ww2kpKSuP3227FY1Bvzrhdk94MAODrssPEhyFwKphAY9Sn0mKrpKb11LC4uZvHixRQXF/PAAw/QuXNn7SrpA8Z1WjtqTGuqdbt/+vRpYmJiSElJYdCgQa7tr732GkuWLOHgwYN1fv/WW2+ld+/ezJ8/v9Z95s6dy5tvvsm2bdvo1av2xbguXrxIt27d+NOf/lSjd009FB06dKCgoICoqCiPnj4qisKWLVu47bbbCA8Pl66HoqqfDE5Vy6WlpWzfvp3hw4cDBJdTuRXz9//AvPslEAqiSXtMt/8HW6fRhISGuuIkhGDr1q0MHTqURo0a6dvJi6f5QgiSfh3SVdkvmJ2qXnsV94/hw4cTGhpab6dLly55dP/waMhTRbZ1OSrGWctOSEgIN954o6ubTDZk9wM/Oyo2+Gb6b6tf3/W5pj0TFXjrGBkZ6ZoONipKnRmntMC4TrVF63a/devWhISEVOuNyMvLq9Zr4Q1vvfUWr7/+Ops3b64zmQDnsL7rr7/e9dSwKuHh4YSHh1fbXhGXyvGpXK48brlyecCAAa4EsfL2ykmjJ2WTyeQqV/zhUd9ybXX31Kk2P1mcKpfDw8MZMGCA6w+7oHGyXiB0/QQ4scX5+dr7MY14F8KbU/lxRcUfmjfeeCMRERGu/8d16VRHua54OBwOBgwYUKNfsDpVLYeGhrquU0+dPMGjhGLr1q0en0BmzGaz7oZ/qInsfuBHR6Ucvp4KWaudq43e/QVcfY/258V7x5CQEO677z5KS0t1PYzRuE61Ret2PywsjH79+pGYmMj48eNd2xMTExk3bpxPx/7HP/7Bq6++yqZNm+jfv/9l97darWRmZjJ06FCfzlsfZL9uZfeDIHW0FjmnhM3ZA5bGMPwd6DkdankgEJSOHiC7H/jPUd5Bx37AZrPx9ddfY7PZAl0VTZDdD/zkaLfCV5OcyURIGIxd47dkAjxzLCgocFvtODQ0VNfJBBjXqQzMnj2bhQsXsmjRIjIzM5k1axYnTpzg8ccfB+Avf/mL28xMAD/++CM//vgjJSUlnD17lh9//JEDBw64/n3u3Lm88MILLFq0iM6dO5Obm0tubi4lJSWufZ577jm2b9/O0aNH2bt3LxMnTuTChQvMmDFDc2fZYyq7HwShY9l5WDnCmUxERMHkZLhuRq3JBASho4fI7gf+c/ToHYqaOHDgACdOnKC8vNxt+9ixY32qmL/wZYyxEILi4mKaNm0q5TAv2f3AD462i7BhMhz52jk17Lh10MW/0yrX1/HixYu8//77FBcXM378+MsOD9ELxnVaO2q8Q1ETWrT7CxYsYO7cueTk5BAbG8u8efO45ZZbAPjd737HsWPH2LZtm2v/mn4PnTp1ck0i0LlzZ44fP15tnxdffJGXXnoJgClTprhedGzTpg033XQTr7zyCj179qxXnY37R+3I7gdB5pj7LXwzAwoyoVFrmLgZ2ta8hktlgsrRC2T3A//dP7xOKI4cOcL48ePZt28fJpPJNS99RWUrXjbRO1rdcA0MKDwMX46H/H0QGgHj1kPnOwJdq1oRQrBlyxZ++eUXpk+fTpMmTQJdJQMfUbt9k6XdVwvj/mGge+xW2PMypP4fCAUaXwETE6F1bKBrZqBzPG3fvB7y9Mwzz9ClSxfOnDlDZGQk+/fvJzk5mf79+7s9RZIZm83Gl19+KW1Xmex+oKHj2X3w+RBnMhEZDfcmBiyZqK+jyWRi+PDhPPLII0GVTBjXqf8w2n310EtMtUJ2PwgCx0t58MUw2Pu6M5noPgWm7/MomdC9o4/I7gf+c/S6h6J169YkJSXRq1cvmjdvTmpqKt27dycpKYlnn3223jODBBpfu6zLysrcZgeQCdn9QCPHcwdg+VAoK4A2N8CEeGhypTrH9oK6HPPy8vjxxx+54447gjbGxnVaO2o/QZel3VcL4/5RO7L7gc4dC36BNaOg6IjzfYk7PoRr7vX4MLp2VAHZ/cB/9w+veygURXE9xWzdujWnT58GnGNYf/75Z28PG3TIulR7BbL7gcqOF044Z9AoK4ArBsCkrQFNJiqoybG8vJxPP/2U3bt3s2vXrgDUSj2M69Q/GO2+uughploiux/o1PH0Hvh8sDOZaN4F7t/tVTJRgS4dVUR2P/CPo9cJRWxsrGvlv4EDBzJ37lx27drFyy+d909JAAAgAElEQVS/TNeuXVWroJ6pvBKhjMjuByo7Zm+Dpf2hOBuiujt7JiICv35DbY5hYWHExcURExNDv379AlQ73zGuU/9htPvqoZeYaoXsfqBTx5M7YNUdUHYOrrgRpu6Blt29PpwuHVVEdj/wn6PXQ542bdrExYsXmTBhAkeOHOHuu+/m4MGDtGrVihUrVnD77berXVdN8LXLumIlQhm7ymT3AxUdj26EL8c515to0xvu+RKadVSvoj5wOUeHw+HVIjZ6wbhOa0ftIU+ytPtqYdw/akd2P9Ch44mtsPZusF+CjiPgnnXOtSZ8QHeOKiO7H/jv/uF1H0hcXJyr3LVrVw4cOEBBQQFRUVHSBqUmKi9BLyOy+4EKjqd2wZf3OJOJq8bD6KVgiVSvgipQ4Xjq1CmSk5O59957CQsLAwjqZKIC4zr1D0a7ry56iKmWyO4HOnI8tsl5H7KXQec7nesdWRqpcmjdOGqE7H7gH0ev/5J46KGH2LJlC5U7OFq2bOnzTWXBggV06dKFiIgI+vXrx44dO+rc32q18vzzz9OpUyfCw8Pp1q0bixYt8qkO9cVut5OQkCBtV5nsfqCC44VsWD8BFCt0HQN3L9dlMpGQkIDVamXlypX88ssvUq16b1yn/kOrdr8hopeYaoXsfqAjx5+/gLVjnMlE17th3FpVkwldOGqE7H7gP0evhzyNHTuWhIQEWrVqxZQpU5g2bRp9+vTxqTIrVqzgwQcfZMGCBQwZMoT333+fhQsXcuDAATp2rHn4yLhx4zhz5gyvvvoqV111FXl5edjtdgYPHlyvcxrziBt4zYXjsHqUc6GgNjfA/bt87l7Wmpp6KAzkRe32TYt2P5gx7h8GASf9A0h8HBDQfTKM+hRCjLbdwHf8trAdQGFhIV988QWfffYZO3bsoHv37kybNo2pU6fSuXNnj483cOBA+vbty7vvvuva1qNHD+655x7eeOONavtv3LiRKVOmcOTIEVq2bOmVg7HSae3I7gc+OOb9CGtGw8UcaBIDU3ZC886a1dMXFEXh4sWL0sbRuE5rR4s/eNVu94MZ4/5RO7L7QYAd7WWw/X/hx/86P9/wONz+XzCHqHoa2eMoux/47/7h0+DpFi1a8Pvf/55t27Zx/PhxHnroIZYsWcJVV13l8bHKy8v5/vvvGTlypNv2kSNHkpKSUuN31q9fT//+/Zk7dy4xMTFcc801PPfcc5SWltZ6HqvVyoULF9x+4LcVXhVFqbFst9vdyg6HA7vdTnJyMuXl5W7bwbmQSOVyRd5WURZCVCsDbmWHw+FWruiuqq2sKIpb2RunuvxkcKpaLisrIzk5GbvdXn+nE1sRy4c6k4nWsTimpGCLjNGNU+U4HTp0iPfee4/NmzdTWloatHGq69qz2WwkJydX8wtmp6pxqnC02+0eO6mNmu1+Q8Zut7Njxw5ph1rI7gcBdMzfD8tu/C2ZuOkFGL5A9WQC5I+j7H7gP0dV3sa02Wx899137N27l2PHjhEdHe3xMfLz81EUpdp3o6Ojyc3NrfE7R44cYefOnWRkZLB27Vrmz5/PqlWr+J//+Z9az/PGG2/QvHlz10+HDh0AyMjIACAzM5PMzEwA0tPTycrKAiAtLY2jR48CkJqaSnZ2NhaLhWbNmpGfnw9AcnKyq5yUlERhYSEACQkJFBcXAxAfH09ZWZnbNF5lZWXEx8cDUFxcTEJCAuB8EpiUlOT6/SQnJwOQk5PjSrKys7NJTU0F4OjRo66FpbKyslzTO3riBJCSkkJOTg4Wi4XIyEiKioqkcaoap+TkZAYPHozFYqmX046178GX92CylZAf2Qum7KRQaaIrp4o4CSFYu3Yt+fn5hIaGkpiYGLRxquvaUxSFuLg4EhMTpXGqGqeKxMVisXjspBVqtPsNGYvFwl133YXFYgl0VTRBdj8IgKMQ8NN7sKw/5GdAZFvn9ORDXgGNnq7LHkfZ/cB/jj4Nedq6dSufffYZq1evRlEUJkyYwAMPPMDtt9/u8cwxp0+fJiYmhpSUFAYNGuTa/tprr7FkyRIOHjxY7TsjR45kx44d5Obm0rx5cwDWrFnDxIkTuXjxIo0aVX8pyWq1YrVaXZ8vXLhAhw4dXDOVVDxhDAkJcSvb7XZMJpOrXOF37tw5oqKiCA0NdW03m83YbDZCQkJc5YrpuirK4P7Wvd1ux2KxuKb3slgsOBwO1x8RDocDh8NBaGhorWVFURBCuMo1eVzOyWw21+ong1PVcnl5OcXFxa7Y1+mUvx/W3oWp+AQiZij2cfFYGjXRnVPlOBUUFJCSksKAAQNo3ry5672JYItTXdee2WymsLCQJk2auPkFs1PVa8/hcHDu3Dlat26NyWSqt9OlS5dUH/KkZrsf7Pgy5MnhcFBYWEiLFi2k/L3J7gd+diw9BwmPwqF1zs+d4+DOT6Cxtom87HGU3Q+8d/TbkKf27dszevRozp49y/vvv8+ZM2dYvHgxI0aM8CoorVu3JiQkpFpvRF5eXq1Pvtq1a0dMTIwrmQDnOxdCCE6ePFnjd8LDw2nWrJnbDzj/IKj4b03l0NBQt7LZbEZRFH744QfXUIWK7eDMCCuXK8atVZRNJlO1MuBWNpvNbuWKPzJqK4eEhLiVvXGqy08Gp6plk8nEd9995/qjrFan7G2Ylg/GVHwCoq7BNHYNlkZNdOlUeV2Jli1bEhcXR1paGmazOWjjVNe153A4+O6776r5BbNT1Tg5HA7S0tJQFMVjJzVRu91vyCiKwrfffutKSmVDdj/wo+ORePi0lzOZMFvg1redPRMaJxMgfxxl9wP/OXrdQ/HBBx9w3333ERWl3krAAwcOpF+/fixYsMC1rWfPnowbN67Gl7I/+OADZs6cSV5eHk2aOP+4+/LLL5kwYQIlJSU19lBUxZilw+Cy5KTCytvBdhHaD4MxqyCydaBrVSNZWVmsXbuWyZMn06lTp0BXxyDAqN2+adHuBzPG/cNAU8oKYdts2L/Y+TnqGrjrc4juG9h6GTQI/NZD8fvf/951U9m1a5fbMCJvmT17NgsXLmTRokVkZmYya9YsTpw4weOPPw7AX/7yF6ZPn+7af+rUqbRq1YqHHnqIAwcOkJyczP/+7//y8MMP1yuZ8BWHw0FeXp7rxUrZkN0P6uF4ahesjnMmEx2Hw72bdJtMCCH47rvvKC0tdY39B/njKLsf6MdRi3a/oaKXmGqF7H6gsWPxKeeL1/sXAyboNwseTPN7MiF7HGX3A/85qtJHPWrUKE6dOuXzcSZPnsz8+fN5+eWX6d27N8nJycTHx7uetObk5HDixAnX/k2aNCExMZHCwkL69+/PAw88wJgxY/j3v//tc13qg8PhICMjQ9oLUXY/uIzjiSRYdQdYC+HKITBuHYSG+7+S9cRkMjFx4kRuv/12xowZ49ouexxl9wN9OqrV7jdU9BhTNZHdDzR0vJjr7BUvPATNOsHkZOcwpwAsmip7HGX3A/85+vRSdgVNmzblp59+omvXrmrUya8YXdYGNXJ6D6wa4eyZ6DLKOcxJZytgV1DxspWBQVW0bN+Cud1XC+P+YaA6l87CF7fBuf3QtCNMSXYmFQYGfsav61A0dBwOB6dOnZI2s5XdD2pxPJsOa0b9OsxpBIxdq9tkIiMjg//85z/88MMPte4jexxl94OG4djQkD2msvuBBo62Ulh7lzOZaHIlTEoKeDIhexxl9wP/OaqSULz//vsNcg5yh8PB4cOHpb0QZfeDGhxzv600zGkw3KPvYU4VjUR2dja1dTbKHkfZ/UCfjg213VcLPcZUTWT3A5UdhYDNf3DegyJawX1J0KKb78f1EdnjKLsf+M9RlSFPFYcIxmXLjS5rAxdZ6+DrKaBYoW0fZ4Meoe+hREIIMjIyuO6664xpOw2qoWX7FsztvloY9w8D1fh+nnNGJ1MITEyEjrcFukYGDRy/Dnn66KOPiI2NJSIigoiICGJjY1m4cKEvhwwqHA4Hx48flzazld0PKjme2PZbMtF1DEzapttkonJvhMlk4vrrr68zmZA9jrL7gb4cG3q7rxZ6iqkWyO4HKjoe/Qa2P+cs3/q2rpIJ2eMoux/4z9HrhOKvf/0rzzzzDGPGjGHlypWsXLmSMWPGMGvWLF544QU166hbZB97J7sfOB2LDiZg+vIeZzJx1XgYtxbC9fm0MS0tjUWLFrFx48ZahzhVRfY4yu4H+nE02n310EtMtUJ2P1DJ8ccFsHYMCAdc9zvo87Rq9VMD2eMoux/4z9HrIU+tW7fmP//5D/fff7/b9s8//5ynn36a/Px8VSqoNUaXdQMnZ6/znYnyYmh/C0zYCBbt1zDxlrS0NNavX8+NN97IqFGjGvRwE4PLo3b7Jku7rxbG/cPAaxQbbH0GfnrX+fnaqRC3SNfv7Bk0LPw25ElRFPr3719te79+/bDb7d4eNqhQFIVDhw5Ju2S77H6cy0SsGQ3lxYj2t8KEeF0nEwB9+vTh4Ycf9iiZkD2OsvuBfhyNdl899BJTrZDdD3xwLD3nXDD1p3cBE9z8BoxeqstkQvY4yu4H/nP0OqGYNm0a7777brXtH3zwAQ888IBPlQoWhBCcP3++3kNPgg2p/c5lwqoRmMoKKGkaizJ2HVgaB7pWNXLgwAFsNpvrc4cOHTzqmZA6jsjvB/pxNNp99dBLTLVCdj/w0jF/PywbANlbwdLEuWDqwDmg095m2eMoux/4z9HrIU9PP/00n376KR06dOCmm24CYM+ePWRnZzN9+nQsFotr37ffflud2mqA0WXdAMn7yTnMqfQstLoOJm+HRq0CXasaSU1N5ZtvvqFr165MnTqVkJCQQFfJIIhQu32Tpd1XC+P+YeARJ5Nh7d3OIbbNu8A966F1bKBrZWBQI34b8pSRkUHfvn1p06YNhw8f5vDhw7Rp04a+ffuSkZFBWloaaWlp/Pjjj96eQvcoisLBgwel7SqT0i/3O1h5mzOZaNsXZeIWDh4/q1vHK664AovFQkxMjNfTwkoZx0rI7gf6cdSy3V+wYAFdunQhIiKCfv36sWPHjlr3zcnJYerUqXTv3h2z2czMmTNr3G/16tX07NmT8PBwevbsydq1a306r5roJaZaIbsfeOh4Js358nV5MbQfBlNTgyKZkD2OsvuB/xxDvf3i1q1b1axH0FJaWhroKmiKVH6ndsGa0VB+AdrdBBO+AUtTSktPB7pmtdKxY0eefPJJmjdv7tML2FLFsQZk9wN9OGrV7q9YsYKZM2eyYMEChgwZwvvvv8+oUaM4cOAAHTt2rLa/1WqlTZs2PP/888ybN6/GY+7evZvJkyfzyiuvMH78eNauXcukSZPYuXMnAwcO9Oq8aqOHmGqJ7H5QT8fzWbDmTue9p/2wX+89+n5frzKyx1F2P/CPo0dDnk6cOOFRI3vq1CliYmK8qpi/MLqsGwgnkpxPh+yXnA36+K8grGmga1Uj3377Ld27dzeuRwOfUaN980e7P3DgQPr27ev2fkaPHj245557eOONN+r87q233krv3r2ZP3++2/bJkydz4cIFvvnmG9e2O++8k6ioKD7//HOfzwvG/cOgHlw4AStugQvHnQumTtoK4c0DXSsDg8ui6ZCnG2+8kccee4zU1NRa9ykqKuLDDz8kNjaWNWvWeHL4oENRFDIyMqTtKpPG70i8s2fCfgk6jXTO5vRrMqE3x7179xIfH88nn3xCeXm5KsfUm6PayO4HgXXUut0vLy/n+++/Z+TIkW7bR44cSUpKild1BmcPRdVjxsXFuY7pzXmtVisXLlxw+wFccVEUpcay3W53KzscDhRFIT093TXhQsV2AJvN5laueO5XURZCVCsDbmWHw+FWrpiFq7ayoihuZW+c6vKTwalq2Wq1sm/fPhRFqdmp8ChixTC4cBzR4mpsY7+C8Oa6dqoaJ7vdTkZGBmVlZUEbp7quPbvdzr59+6r5BbNT1TjZ7XbS09NRFMVjJ0/wKKHIzMykefPm3HnnnURHR3PXXXfx2GOP8fTTTzNt2jT69u1L27Zt+fjjj/nHP/7B00/ra4EWgwZI1lqoWLSu2zjnS3CWyEDXqla6d+9OixYt6NOnD2FhYYGujoGB5u1+fn4+iqIQHR3ttj06Oprc3Fyv652bm1vnMb057xtvvEHz5s1dPx06dACc75aA83eVmZkJQHp6OllZWYBz/ZijR48CzokWsrOzATh9+rTrXMnJya51PJKSkigsLAQgISGB4uJiAOLj4ykrK8NutxMfH4/dbqesrIz4+HgAiouLSUhIAKCwsJCkpCSXa3JyMuB8/6QiYcrOznYlikePHiUtLQ2ArKws0tPTvXJKSUkhJycHgJMnT0rnVDlO27Ztw2q11uhkPXMAVgzDdOEYosVVlI39mvht3+neqWqcSkpKANi0aVPQxuly154Qgk2bNknllJ6eztKlS11OFcf21MkTvJrlqeIXvmPHDo4dO0ZpaSmtW7emT58+xMXFERur/xeNKjC6rCXm0Hr46l5w2OGaSc55vkMsl/9egLFarYSH628+coPgQ832Tat2//Tp08TExJCSksKgQYNc21977TWWLFnCwYMH6/x+bUOewsLC+OSTT9wW4Vu2bBmPPPIIZWVlXp3XarW6/oAE5++3Q4cOFBQUEBUV5XrCGBIS4la22+2YTCZX2Ww2Yzabay3bbDZCQkJc5dDQUEwmk6sMzqeVlcsWi8X1NNJisbh6CSrKDoeD0NDQWssVTy8ryjV5GE71dCo4TOjKYZhKTiGiusN9W6DJlcHtJGOcJHWaN28ec+bM4ZFHHuGDDz7w2unSpUse3T+8eik7IiKCCRMmMGHCBG++Lg0VXbq9evWScjrPoPY7vhk23OdMJno8AHd+AubqDoF2FEKwbds2rr76atq3bw+gejIRaEetkd0P9OGoVbvfunVrQkJCqvUK5OXlVes98IQrrriizmN6c97w8PAa//+siEnl2FQuV/yhUrmsKAr79u2jV69e1fapPP2uJ2WTyeQqV/zhUd9ybXX3xKkuPxmcqpbNZjM//fQTvXr1+q3uZeexrB8LJaegZQ9Mk7ZC4+igcaoag8ptT8XEIMEWp7qusbr8gtVp8ODBCCFcvRYOh4OMjAzX/cMTJ0/wetpYAyeNGgXPTA3eEJR+J3fCunGglMNV4+HOj2tMJioIpOP3339PcnIyy5Yt49KlS5qdJyjj6AGy+4G8jmFhYfTr14/ExES37YmJiQwePNjr4w4aNKjaMRMSElzH1Oq8niBrTCuQ3Q+qONqt8OV4OHcAmsTAvZtcyUQwI3scg9nv7NmzPPvssyxcuNC17eabb+bnn39m+fLlriTJL47CS2bMmCG2b9/u7dd1Q1FRkQBEUVFRoKtioAbHtwjxr8ZCvIUQq+4UwlYW6BrVidVqFYsXLxapqamBroqBhKjdvmnV7i9fvlxYLBbx0UcfiQMHDoiZM2eKxo0bi2PHjgkhhJgzZ4548MEH3b6TlpYm0tLSRL9+/cTUqVNFWlqa2L9/v+vfd+3aJUJCQsSbb74pMjMzxZtvvilCQ0PFnj176n3ey2HcPwxc2K1CrL/Pee/5dzMh8tIDXSODBsA777wjANGuXTtRWlqq6rE9bd+8TigmTJggwsPDxVVXXSVee+01cfLkSW8PFVB8uSHYbDaRmpoqbDabBjULPEHndzRBiHnhzgb9ixFClF+87Ff04KgoiqbH14OjlsjuJ4T3jmr/watlu//OO++ITp06ibCwMNG3b1+3xGXGjBli2LBhbvsD1X46derkts/KlStF9+7dhcViEddee61YvXq1R+e9HMb9o3Zk9xOikmNJvvOe8xZCvG0R4tjmQFdNNWSPY7D5lZSUuD3wsFqt4p577hHffPONcDgcNX7HX/cPr17KruDcuXMsXbqUjz/+mIyMDEaMGMEjjzzCuHHj3MZ06RlfXlpUFIWjR4/SpUsXKcduB5XfyZ2wOs45NWy3sXD3CgiNuOzX/O0ohCA+Pp4OHTq4xhZrTVDF0Qtk9wPvHbWYdEKGdl8tjPtH7cjuB07HEwdS6PzD/2DK3weWxjBmJXQZFeiqqYbscQwmv6SkJKZOnUr37t3Ztm1bvRe79df9w6eEojJpaWksWrSIhQsX0qRJE6ZNm8aTTz7J1VdfrcbhNcOY5UkCjm6E9fc6k4nOd8K4dRCqz1mS9u3bx5o1azCbzTz99NO0aNEi0FUykBit27dgbffVwrh/NHBKC+CzAVB4GBpfAeO/hui+ga6VgaRkZ2dz9dVXExMTw+7du2nbtq2m59N0YbvayMnJISEhgYSEBEJCQhg9ejT79++nZ8+ezJs3T41T6BK73U5KSopXC4AEA0Hhl70d1o39NZmIg7GrPUom/O0YGxtLv379GDdunN+SiaCIow/I7gf6dGyo7b5a6DGmaiK7Hw47jg2TofAwollnmLpHymRC9jjq1c/hcLB8+XLmzp3r2tahQweSkpI4ePCgR8mEvxy9mjYWnKvxrV+/nsWLF5OQkECvXr2YNWsWDzzwAE2bOlchXr58OU888QSzZs1SrcJ6wmw2ExMT49X0WsGA7v3OH4L1E8Bhc87mdPdyCPFsMTh/ODocDkwmk+vn7rvv1uxcNaH7OPqI7H6gH0ej3VcPvcRUK2T3I3kO5hObcYQ0grFrMTXrFOgaaYLscdSrX0pKCvfffz9hYWFMmTKFjh07Ang1A52/HL1OKNq1a4fD4eD+++8nNTWV3r17V9snLi5O6iEdZrOZTp3kbERA535l52HtXVBWAFcMgNHLPE4mQHtHh8PBunXraNq0KSNGjKj3mEc10XUcVUB2P9CPo9Huq4deYqoVUvsdWALf/xMA86hPILr6/weyIHUc0ZdfXl6eq+fh5ptvZvz48fTt25eoqCifjusvR6/TlWeeeYaTJ0/yzjvvuN1UhBCcOHECgKioKNdy3zJit9tJTk7WXVeZWujWT7HBVxPh/C/QtAPc8yVYvJtjWWvHo0ePsm/fPvbs2cPZs2c1Ocfl0G0cVUJ2P9CPo9Huq4deYqoV0vqd2AqbHgHAceMcks9Ey+dYCWnj+Ct68Dt58iS33347/fv3x2q1uravWbOGF154wdX76y3+cvQ6oXjppZcoKSmptr2goIAuXbr4VKlgwWw2061bN911lamFLv2EgKSn4EQSWJrA+A3Ol+G8RGvHbt26MWrUKO677z7NX6CqDV3GUUVk9wP9OBrtvnroJaZaIaVffgasH+8cZnvNRBjyinyOVZAyjpXQg1+rVq34+eefOXPmDHv27FH9+P5y9HrIU22TQ5WUlBARcfnpOmWgYlyarOjS78d3IP0DwAR3fQ5tfJt6VQtHRVEQQhAa6vzfa8CAAaoe31N0GUcVkd0P9ONotPvqoZeYaoV0fheyYfUosBZBzM0wagnmkFC5HGtAujhWIRB+P//8M6tXr+b//b//BzhXsV62bBldu3Z1vSuhJv5y9DihmD17NgAmk4m//e1vREZGuv5NURT27t1b47haGanoRrrllltcfzzKhO78Tu+Gbc7rj2H/gG6+v9ystqPdbmfVqlU4HA4mTZqki9+b7uKoMrL7QeAdjXZffQIdU62Ryu/wBtj0EJTmQ8trYdyXEBohl2MtyO7ob7+CggJ69+5NWVkZQ4YMYdiwYQDceuutmp3TX44eHzktLQ1wPqnat28fYWG/vQgbFhbGDTfcwHPPPadeDXWM2WwmNjZW6q5A3fhdyoevJv3a1Xwf9JutymHVdjx79iyHDx9GCMGZM2d08WRHV3HUANn9IPCORruvPoGOqdZI4We3QvL/Qtp/nJ/b9IZ71kGjloAkjpdBdkd/+JWWltKokfM9z5YtW/Lwww9z8uRJvw2D9lcMvV7Y7qGHHuJf//pX0C/mYyxMFAQIB6wZDcc2QdQ18MC3EK7fWB05cgQhBN26dQt0VQwaOGq3b7K0+2ph3D8kprQAvrwHTu1wfu43C25+Q7eLphroj/Lycv7617/y0UcfsW/fPtq1awc4e3X1vio3+HFhu8WLFzf4BtRms7Fp0yZsNlugq6IJuvHb+7ozmQhtBGNWqZpMqOFos9m4ePGi63PXrl11lUzoJo4aIbsf6MfRaPfVQy8x1Yqg9is6Cp8PdiYTYc2cK2Df+na1ZCKoHeuJ7I5a+lksFnbu3Mm5c+dYunSpa7u/kwl/xdCjHorZs2fzyiuv0LhxY9eY2tp4++23fa6cP/DlCZPD4aCwsJAWLVpI2R2oC78TSbDqDmcvRdxiiP2dqof31dFms/H5559TUlLCjBkzaNy4sar1UwNdxFFDZPcD7x3VeIIuY7uvFsb9o3aC1i8/A1aOgEtnoEl7mBAPba6vcdegdfQA2R3V9CstLWXx4sU89thjWCwWAPbu3Ut+fj6jR48OyDpU4L/7h0fvUKSlpbkynIoxtTURqF+avzGbzbRs2TLQ1dCMgPsVHnG+NyEcEPuw6skE+O548eJFzp07R1lZGefPn9dlQhHwOGqM7H4QWEej3dcG2a/boPQ7dxBWDodLedDmBmfPRNPa34MLSkcPkd1RLT8hBEOGDCEtLY2QkBD+8Ic/ADBw4ECfj+0r/oqhRwnF1q1bayw3VGw2GwkJCYwcOdKVjcpEQP1KC2DdWCg7B9H94fb/anIaXx1btGjBjBkzuHjxIu3bt9eghr5jXKfBTyAdjXZfG2S/boPO7/whWHn7r8lEb5iUBBF1r1AcdI5eILujL34Oh8P1xN9kMjFjxgwKCgpo1aqVFlX1Gn/F0OuXsmXBly5rIQTFxcU0bdpUyqdzAfMrK4RVI+DM99C4nfMl7DqeEvmCN45Wq5WioqKALVTnKcZ1Gvx462i8NKwtxv2jdoLK72QyfP0AlJyEVtfBpG0Q2fqyXwsqRy+R3dFbv7Vr1/L888+zaNEibrrpJsD5ErYQgvBwfb2476/7h0c9FJcbP1uZhjCW1mQySX2TDkU6iKsAACAASURBVIif9QKsudOZTDRqDRMTNUsmwHPHsrIyli1bRn5+PjNmzOCKK7xfpdtfGNdp8BNIR6Pd1wbZr9ug8LNdgp3/D374NyAgqjvct6VeyQQEiaOPyO7ord+GDRvIzMxk7ty5rFmzBsBtOm094a8YevwORX2QMYutCZvNRnx8PKNHj5a2K9CvfuXFsGYU5OyFiJYwcTO0vk7TU3rqaDKZXKsFB0vnnnGdBj+BdDTafW2Q/brVvd+xRNjyJBQecn6Ofdg5k1N483ofQveOKiC7Y339tm/fTs+ePWnTpg0Af/vb3+jQoQOzZs3yV1W9xl8xNIY8+dhlXVZWRkREhJQ3U7/62S45k4mTyRDewvmUKLqvtufEO8eysjIuXLgQVEOejOs0uPHW0RjypC3G/aN2dOt3MRe2zYaDnzs/N4mBkR9Cl1EeH0q3jioiu2N9/GbPns28efOYPXs2//znP/1cQ9/x1/1DvjnA/IyMS9FXxi9+QkDCo85kIqwZTEzwSzJRweUcL126RFZWlutzRERE0CQTFRjXafDTEBwbGrLHVHd+5w/B0n7OZMJkhj5/hN8d8CqZqEB3jhogu+Pl/OLi4ggNDQ2aUQk14Y8YevwOhTEf+W/Y7XapuwL95pf2H2cDbw6F8V/BFTdqd64qXM6xrKyMTz/9lLy8PCZNmsS1117rt7qphXGdBj+BdDTafW2Q/brVnd+F484pYUtOQ8seMHoJRPfz6ZC6c9QA2R2r+h06dIiXXnqJuLg4HnzwQQBGjhzJsWPHiInR7n1OLfFXDD0a8nTbbbexdu1aWrRowW233Vb7QU0mkpKSVKmg1vjaZW232wkNDZW2K1Bzv7wfYdkAcNjgtvnQ9xltzlMLl3N0OBx8+eWXHD58mBkzZrjGTwYTxnUa/HjrqMaQJxnbfbUw7h+1oyu/4pOwYhgUHXG+eD15OzSO9vmwunLUCNkdq/rNnTuXP//5z3Tp0oWsrCy/r2qtBf66f6iyDkVFTiLjxXY5KoIkK5r62S7C11OdyUS3cc7u5wBQl6PZbGbcuHEUFxfTvHn9X9bTG8Z1GvwEytFo97VD9utWF355P8K6cVB8Alp0c76fp0IyUYEuHDVGZsczZ85w/vx51+iDp556in379jFr1iwpkokK/BFDn96h+Oijj4iNjSUiIoKIiAhiY2NZuHChWnXTPXa7nYSEBOx2e6Crogma+inlsP5eKMiExlfAyIUQgD9ManIsLi5m7969rs9msznokwnjOg1u9OTY0Nt9tdBTTLVAF35Za+DzIc5kIupqZzKh4jTkunDUGJkdV65cSbdu3XjwwQddfpGRkSxZsoS+ff33HqfW+CuGXs/y9Ne//pV58+bx9NNPM2jQIAB2797Nf//7X5555hleffVVVSuqFcYsKAHAWgTxD8CRryE00tnIX3lToGsFOKdXe//99zl37hxxcXGuBWsMDIIRtds3Wdp9tTDuHzom/QNI/IOz3OkOuHvFZVe+NmhYHDp0iGuvvZa+ffuSlJREkyZNAl0lXeFx+ya8pFWrVuKzzz6rtv2zzz4TrVq18vaw4p133hGdO3cW4eHhom/fviI5Oble39u5c6cICQkRN9xwg0fnKyoqEoAoKiryuK4Oh0MUFRUJh8Ph8XeDAU38SnKFWNRDiLcQYl64EEfi1Tu2F9TkuGvXLjFv3jxRUFAQwJqph3GdBj/eOvrSvtWEVu1+sGLcP2onoH7nDgoxP8J5n9nytBCKTZPTyB5DIeRxLC0tFfPmzRP/93//57b9hx9+EIWFhUHvVxf+un94PeRJURT69+9fbXu/fv287lZZsWIFM2fO5PnnnyctLY2hQ4cyatQoTpw4Uef3ioqKmD59OsOHD/fqvN5it9vZsWOHlF2BoIGftQhW3+kc5tQkBqbs9Gm6PjWoyXHw4ME88cQTREXJ8TTLuE6DH704atHuN1T0ElOtCJifQ4GND4G9DDqNhNv+5ZxBUANkjyHI47h582ZmzZrF3//+d3Jzc13bY2Nj2blzZ9D71YXfYuhNtiOEEE899ZSYNWtWte3PPvusePLJJ7065oABA8Tjjz/utu3aa68Vc+bMqfN7kydPFi+88IJ48cUX/dpDYeABDocQX05wPjFaEC1EQVaga+Ti/PnzIj4+Xtjt9kBXxcBAVdRu37Ro9yvwtHd627Ztom/fviI8PFx06dJFvPvuu27/PmzYMAFU+xk9erRrnxdffLHav0dHR9e7zsb9Q4ek/sN5n/l3UyGKjge6NgYBQlEUcfz4b/F3OBzi3nvvFR988IEoLy8PYM2CB0/bN4/XoajAZDKxcOFCEhISXOPM9+zZQ3Z2NtOnT/c4sSkvL+f7779nzpw5bttHjhxJSkpKrd9bvHgxhw8fZunSpX4fv+twOCgsLKRFixaYzfKtEaiqX8Yi5wtyZguM3wBRV6lTSR+x2+188sknFBYWYjabiYuLC3SVVMe4ToOfQDpq2e5XUNE7vWDBAoYMGcL777/PqFGjOHDgAB07dqy2/9GjRxk9ejSPPfYYS5cuZdeuXTz55JO0adOGe++9F4A1a9ZQXl7u+s65c+e44YYbuO+++9yOdd1117F582bXZ3/N7CL7dRsQv5M7YdcLzvKt86BZ9WtHTWSPIQSnY2ZmJpMmTaK8vJz9+/e7pktdtWpVtX2D0c9T/OXo0ZHT0tJcP/v27aNfv360adOGw4cPc/jwYdq0aUPfvn3Zv3+/xxXJz89HURSio92nc4uOjnbrnqpMVlYWc+bMYdmyZfWeDstqtXLhwgW3H3B25Vf8t6ay3W53KzscDhRFITU1FZvN5rYdnC/3Vi6LX999rygLIaqVAbeyw+FwK1d0V9VWVhTFreyNU11+XjsV/ILY6lxfwjH4FWytbgiYU01xio6Opk2bNtx4441BGaeanCqX7XY73377LWVlZdI4VY6T3W4nNTW1ml8wO1WNU4WjoigeO/mKlu1+BW+//TaPPPIIjz76KD169GD+/Pl06NCBd999t8b933vvPTp27Mj8+fPp0aMHjz76KA8//DBvvfWWa5+WLVtyxRVXuH4SExOJjIysllCEhoa67eevtWYUReHbb791XTOy4Ve/C9nw9QOwYigoVugcB7EPa35a2WMIwenYvn17cnNzycvL48CBA3XuG4x+nuIvR48Siq1bt9brx5fFjarOaS6EqHGec0VRmDp1Kn//+9+55ppr6n38N954g+bNm7t+OnToAEBGRgbgzGwzMzMBSE9PJysrC3DeVI8ePQpAamoq2dnZWCwWIiMjyc/PByA5OdlVTkpKorCwEICEhASKi4sBiI+Pp6yszLVyod1up6ysjPj4eMA5ZWlCQgIAhYWFrt9lfn4+ycnJAOTk5Lh6bbKzs0lNTQWcT+3S0tIAZ7KVnp7usRNASkoKOTk5WCwWwsLCKCoq8t5JseHYMBWT7SJ0uJXCbg8H1KlqnJKTkxk5ciSPP/44u3fvDso4VXWqGqeysjLi4uJITEyUxqlynBRFYfjw4SQmJkrjVDVOiqJgtVqxWCweO/mK1u1+Re/0yJEj3bbX1Tu9e/fuavvHxcXx3XffuRKsqnz00UdMmTKFxo0bu23PysriyiuvpEuXLkyZMoUjR47UWlc1H0hZLBaGDx/u6hGR7YFUVT/NnA5vQCzuDgc/A0yInjOwx30KJpPmDwUA7rjjDiwWS9DGqWq5apxCQ0NdPfd6ddqxYwcvv/yyy6Np06asXLmSQ4cO0atXrzqvvdDQUFdboicnNR9IhYaGcvvtt2OxWLR9IFWvgVF+wGq1ipCQELFmzRq37X/84x/FLbfcUm3/8+fPC0CEhIS4fkwmk2vbli1bajxPWVmZKCoqcv1kZ2cLwDWjj91ud42lr1y22WxuZUVRhKIo4vTp08Jms7ltF0KI8vJyt3LF2/UVZYfDUa0shHArK4riVq44T21lu93uVq7J43JOdfl57HSp2PXehOM/LYQoOhFwJyGEyM3NFUuXLhUXL14UVqtV5ObmuuoVjHGqWq4aJ7vdLs6cOSPKysqkcaocJ7vdLnJzc6v5BbNT1TjZ7XZx6tQpoSiKR07BMMb/1KlTAhC7du1y2/7aa6+Ja665psbvXH311eK1115z27Zr1y4BiNOnT1fbf+/evQIQe/fuddseHx8vVq1aJdLT00ViYqIYNmyYiI6OFvn5+TWet6Z3LgDX+x779u0T+/btE0I4Z4/JzMwUQgiRmpoqsrKyXPU8duyYUBRFbN68WWRnZwshhNiyZYs4c+aMEEKIjRs3inPnzgkhhNiwYYMrfuvWrROXLl0S5eXlYt26daK8vFxcunRJrFu3TgjhHPO8YcMGIYQQ586dExs3bhRCCHHmzBnXPfHkyZNi+/btQgghjh075vq9Z2VlidTUVCGEEJmZmeKHH37w2EkIIbZv3y5OnjwpFEURmzZtEjk5OZo5pa19U4h5YUK8hSh873ohcr/X1KmmOB06dEgoihK0carJqXKcCgsLxZkzZ3TrtHr1amE2mwUg3nvvvXo5VY5TSUmJOHXqlK6cvIlTXddeSUmJWLdunVAUxSMnT+8fPicU+/fvF99884348ssv3X68YcCAAeKJJ55w29ajR48aX8pWFMUVmIqfJ554QnTv3l3s27dPlJSU1OucvtxwbTab2LJli+smLhs++dnLhVhz16/Tw4YJcfhr9SvoBQ6HQ7z33nvipZdeEqtXr5Y+hkIY16kMeOuoVUKhZrtfkVCkpKS4bX/11VdF9+7da/zO1VdfLV5//XW3bTt37hSA6w/Yyvz+978XsbGxl61LSUmJiI6OFv/85z9r/Hc1H0jZbDaxefNmYbVa3bYLIccDqap+qjsd2ywc85xTwzrWjRe2skuaO1Utl5aWis2bNwubzRa0caparhqn8vJysWXLFnHp0iXdOOXn57s5PfTQQ+Kxxx5zJeqXc6ocp/LycrF58+ZqfsEWp7quvQpHm82m6QMprxOKw4cPi169egmTySTMZrMwmUyustls9uqYy5cvFxaLRXz00UfiwIEDYubMmaJx48auTG3OnDniwQcfrPX7xixPOsGhCBE/3ZlMzG8kxLHEQNfIjby8PLFkyZJ6J50GBsGK2u2bFu2+p73TQggxdOhQ8cc//tFt25o1a0RoaGi1GVwuXrwomjVrJubPn1+v+owYMaLabIO1Ydw/AsTBL4SYH+m8x6y5Wwi7NdA1MvADxcXFYvr06aJFixZuvYgVf0wbqIvf1qF45pln6NKlC2fOnCEyMpL9+/eTnJxM//792bZtm1fHnDx5MvPnz+fll1+md+/eJCcnEx8fT6dOnQDnuODLrUnhTxwOB6dOnXIbTykTXvk57LDxd3DgUzCFwJiV0GmEZnWsd7UqObRp04Zp06bRuHFj6WMIxnUqA3px1KLdDwsLo1+/fiQmJrptT0xMZPDgwTV+Z9CgQdX2T0hIoH///lgsFrftX3zxBVarlWnTpl22LlarlczMTNq1a+ehhefoJaZaoYmfYoOts2DDJLBfgs53Ou8xIWHqncMDZI8h6MsxMjKS9PR0CgsL+eqrr1zba3rPtr7oyU8r/ObobebSqlUr8dNPPwkhhGjWrJk4ePCgEMI5xqt3797eHtbv+Drkafv27dIOtfDYT7EL8dUU51Ojf4YIkfm5thWsJzk5OeK///2vyMvLq/ZvssdQCPkdZfcTwntHLVbK1qLd97R3+siRIyIyMlLMmjVLHDhwQHz00UfCYrGIVatWVTv2zTffLCZPnlzjeZ999lmxbds2ceTIEbFnzx5x9913i6ZNm7rOezmM+0ftqO538awQn9/svL+8hRDb/6zZCtj1RfYYChFYx7Nnz4o333zTbY2o3bt3u95NUAMjhrXjtyFPLVq0EIcPHxZCCNG1a1eRlJQkhBDi0KFDolGjRt4e1u8YXdYq4XAIkfi4s6F/2yJElnfjqbXg008/FS+99JL47LPPAl0VAwO/onb7pmW7/84774hOnTqJsLAw0bdvX9eLjkIIMWPGDDFs2DC3/bdt2yb69OkjwsLCROfOnastbCeEED///LMAREJCQo3nnDx5smjXrp2wWCziyiuvFBMmTBD79++vd52N+4efKMgSYuFVvy5Y10yIX9YGukYGGmOz2UTHjh0FIJYtWxbo6jRINF3YrjKxsbGkp6fTtWtXBg4cyNy5cwkLC+ODDz6ga9euvnedBAEOh4Ps7Gw6dOgg5YIoHvntegF+eg8wweilcNVYv9SxPkycOJHExMRq00yC/DEE+R1l9wP9OGrZ7j/55JM8+eSTNf7bxx9/XG3bsGHD+OGHH+o85jXXXOOaTrEmli9f7lEd1UQvMdUK1fxy9sLau6E0H5p1ggnfQKse6lXUB2SPIfjX0WazuYYshoaG8oc//IFVq1Zx5ZVXanZOI4bq4fWRX3jhBdd4rFdffZXjx48zdOhQ4uPj+fe//61aBfWM7GPv6u330/uw93Vn+Y73oPsk7St3GSqvkNuoUSPGjh1LREREtf1kjyHI7yi7H+jH0Wj31UMvMdUKVfzOZ8Gqkc5kom1fmLpHN8kEyB9D8J/jggUL6Ny5Mz/99JNr23PPPcd3333Hrbfeqtl5jRiqh0nU9fjGQwoKCoiKivLpBRl/c+HCBZo3b05RURHNmjULdHWCj7yf4LOBztVJh7wCN70Q6BqRnZ3N8uXLGTdunEeLHhoYyIY/2rdgbPfVwrh/aIjtInx2E+RnwJVD4N6NENYk0LUy0IjJkyfzxRdf8Oijj/Lhhx8GujoGeN6+qdL3IX5dla9ly5YN6qaiKAqHDh2Sdsn2y/oVn4Kv7nUmE13vgoHP+7eCtfDDDz9w6dIlUlNT6xzuAPLH8P+zd97hURV7A363pFAkIkSE0EFAjI2gAhIUxSD2cj/AAoIVRSlerxfFgugFO9gQLiCIgiLSLFHCFSVIB4MQCBKS0BMlQAqk7dkz3x9r1mwKZHfPbnZn532efZgMZ8/5vfs7mcnszDkH5HeU3Q8C0zFU232jCMScGolXfkLAykcdg4kG5znu5BSAgwnZcwi+cdR1nUWLFpGXl+esmzhxItOmTePDDz807Di1QeXQOLwaUMyePZvY2FgiIyOJjIwkNjaWWbNmGRVbwCOE4MSJE2f8ozVYOa3fqRz48hrIy4BGbaH/XAiQPypuvvlm+vbty8CBA8/4h47sOQT5HWX3g8ByDPV23ygCKae+wCu/X6dC2nzHrcdv/hIa+v42vp4gew7BN4733nsvAwcO5J133nHWde7cmccee4zwcP/eAljl0Dg8XvL0wgsvMGXKFJ588kl69uwJwPr16/nggw8YPXo0r776qqGB+go1Ze0BtmJY1NdxsVyjtjDoZ8fFcnVIfn4+UVFRdRqDQhFoGN2+ydLuG4XqPwxGt0Pyv2Hr246fr34buj9VtzEpDEEI4fyCb8mSJQwfPpwXXniBp59+uo4jU9SE2+2bp7eTatKkSbW34VywYIFo0qSJp7v1O97c9k/TNJGWluZyj2SZqNZP14VIHOK4fd8H5zhu51fHZGRkiFdffVX88ssvbr9X9hwKIb+j7H5CeO7oi+dQyNDuG4XqP2rGbb+SPCEWD/j7ORO/vODobwIY2XMohPeOGzduFNddd53LM2J0XRfHjx83KkSvUDmsGb89Kdtut9O9e/cq9XFxcWia5ulug47i4uK6DsGnVPHbORd2ffrXU7C/gsYd6ySuihw5cgRN09i/f79HdzGQPYcgv6PsfhAYjqrdN5ZAyKkvqbXf0R0w/3LI+h6s9eDmhXDVxIBZRns6ZM8heOf43Xff8eOPP/LKK684l9yYTCYaN25sVHheo3JoDB4veXryyScJCwtzWQMHjtt8FRcX+/3CGk9RU9ZucGwXfHY5aEXQexJc+WxdR+QkNTWVLl26YLV6/GgVhUI6jG7fZGn3jUL1Hwaw61PHBdhaMZzVCm5bCs3i6joqhYfs2bOHsLAw2rVrBziWIz/33HP861//om3btnUbnMIt3G3f3Prr66mn/l7LaDKZmDVrFklJSfTo0QOADRs2cPDgQYYOHepm2MGJ3W4nLS2NCy64AIvFUtfhGI6Ln14G3w5yDCbaXA9X/LtOYzt8+DDNmzd3PqQlNjbWo/3InkOQ31F2P6hbR9Xu+wbZz9ta+a19ETa84ii3SYAb50P9pv4L0ktkzyG45/jRRx/x5JNPcuedd/Lll18CEBUVFdBfNKgcGodbA4qUlBSXn+PiHN8iZGRkABAdHU10dDQ7d+40KDxFQCAErHzEcQu/+s1gwKdgqrsnSu7evZtFixZx4YUXcvvtt0v7dEuFIhBQ7b7CJ2x49e/BRI/noecEMMv5B12o0Lt3b3Rdp6SkxOWp14rQwNAH2wUjasq6FvzyPGz8j+O6ibtWQJvr6jSc8gHFBRdcwB133CHttwoKhbeo9s23qM/XQza/Bcn/cpT7vAmXqzv9BBvHjx/nzTffJDo62mUWMz09nfPPP78OI1MYhV8fbJeXl8fbb7/NQw89xMMPP8yUKVPIz8/3ZpdBhd1uJyUlRdoHotjtdg59/bRjMAFw/Yw6H0wAdOnSheHDh3PnnXd6PZiQPYcgv6PsfhBYjqHe7htFIOXUF9Tot3XK34OJq14N6sGE7DmEmh1XrFjBa6+9xsSJE10eUBdsg4lQzqHReDyg2LJlCx06dGDKlCkcP36c3Nxc3nnnHTp06MCvv/5qZIwBTb169eo6BJ9hSv2Ylul/3Q+810S46ME6iyU9PZ2SkhLnzy1btjRsqZPMOSxHdkfZ/SAwHFW7byyBkFNfUsVv0+vw81/fZvd4HnqM939QBiN7DsHhWFxczN69e511gwYNYvDgwXz66adB/wyoUMmhr/F4yVN8fDwdO3Zk5syZzjvraJrGQw89RGZmJsnJyYYG6ivUlHUN/L7IcRE2Aro/DX3eqLNb+O3cuZPFixfTokULhg4d6vcnaSoUwYrR7Zss7b5RqP7DDTb8B9Y+7yj3nAA9XwyK28IqYOPGjdx11100adKElJQUdd1iiOC3JU9btmzh3//+t8ttOq1WK8888wxbtmzxdLdBhaZpbN68Wb77rx//HX64HxD8ed4daL0m1WnD37RpUyIjIzn33HMNv8hL2hxWQHZH2f0gcBxVu28cgZJTX+Hil/Lh34OJq16FXi9JMZiQPYfgcCwsLKSwsJATJ05w4MCBug7JUEIlh/5w9HhA0ahRo2pPrIMHD3LWWWd5FVSwUP5wFpMEDaMTuw2+HwJaMaL1dRRcMRlTHX8b0axZMx555BFuueUWwz9rKXNYCdkdZfeDwHFU7b5xBEpOfYXTb/8K+GmUo7LXRCmWOZUjYw6FECxZsoSXXnoJcDi2bduWH374gfT0dOmeJSFjDivjL0ePlzyNGjWKpUuX8tZbb9GrVy9MJhO//PIL//rXv7jrrruYOnWq0bH6BDVlXYl1L8P6CRBxNty/A85qWSdh/Pbbb8TExNC0afDck1yhCDSMbt9kafeNQvUfZyB3J3zeC8oK4ML7of8cKWYmZGbHjh1cfPHFmEwmduzYwYUXXljXISnqCL8teXrrrbe48847GTp0KG3btqVNmzYMGzaMf/zjH7z++uue7jao0DSNdevWyTNVlr3p7/uCXzcNrd55deKXmprKsmXLmDdvHidPnvTpsaTLYTXI7ii7HwSOo2r3jSNQcuortLwDlHxxvWMwERMP/WZIN5iQJYc5OTnO8kUXXcT999/P+PHjiYmJkcaxJmT3A/85uvVgu4qEh4fz7rvvMnnyZDIyMhBC0LFjR+rXr29kfAGN2WwmJiZGjguUTmbDN/8Hwg6dB8EFd2PW9Trxa9euHdHR0XTo0IEGDRr49FhS5bAGZHeU3Q8Cx1G1+8YRKDn1Caf+wLK0P9bSbERUB0y3LgFrRF1HZTjBnsOjR48yZMgQtmzZQmZmpvNb6Llz5zq30evo7wB/Eew5rA3+cvRoyZPNZiMhIYEZM2bQqVMnX8TlN9SUNWArgoVXwx9boPH5cM9GiGxcpyGVlpYSHh4u9bpGhcLXGNm+ydTuG4XqP6qhKBcW9YXcVDirFQxKhqi2dR2Voho0TSM2NpaMjAyWLl3KzTffXNchKQIIvyx5CgsLIzU1NeT/2NM0jeTk5OCeKhMCkh52DCbqNYU7Ep2DCX/6bdiwgYyMDOfPERERfjm/pMjhGZDdUXY/CAxH1e4bSyDk1HBsRbDkBshNRTRozqa2r6E1qJvr8PxBsOUwMzOTl156ifLvka1WK3PmzGH37t01DiaCzdFdZPcD/zl6PP8xdOhQZs+ebWQsQYfZbKZDhw7BPVW2dQrsXgBmK9zyFTTu6Pwvf/mlpaWxYsUKvvjiC44fP+7TY1VGihyeAdkdZfeDwHFU7b5xBEpODUMI+PFx+GMr1GuK+Mf/iLnwann8qiGYclhUVERcXBwTJ05k+fLlzvqePXvSoUOHGt8XTI6eILsf+M/R42soysrKmDVrFitXrqR79+5V1rq/8847XgcX6JSvSwta9v8Pkv/lKF8zBVpd7fLf/vLr1KkTnTp1onnz5pxzzjk+P15Fgj6HtUB2R9n9IHAcVbtvHIGSU8PYMRN2fgImM9z8JeamXZHIrloCPYdFRUXO65vq16/P448/ztatW2nXrl2t9xHojt4iux/4z9Hj4UpqairdunWjUaNG7Nmzh5SUFOdr27ZtRsYYsGiaxqpVq4JzquxUDnw7GIQOFw6DS0dW2cRffhaLhUGDBnHNNdf49DjVEdQ5rCWyO8ruB4HjqNp94wiUnBpCzmZY9aSj3HsytO4rl18NBKqjruu88MILxMTEkJ6e7qyfOHEiP/zwA5dcckmt9xWojkYhux/4z9HjGYqffvrJyDiCErPZTGxsbPBNlZVfN1FyDKIvhX4fVXs7P1/5CSFYvXo19erV48orr3Qeqy4IcEknKgAAIABJREFU2hy6geyOsvtB4Diqdt84AiWnXnMsDZbdCvYy6Hg7XO6Y9ZbG7zQEqqPZbCYlJYW8vDzmzJnDpEmTAMeXd57sKxAdjUJ2P/CfoyF7F0Lg4fPxghqz2cy5554bfCfilrch81uwhMOAeWCNrHYzX/llZWWxevVqfvjhB5f7X9cFQZtDN5DdUXY/CExHo9v9adOm0a5dOyIjI4mLi2PNmjWn3X716tXExcURGRlJ+/btmT59usv/z507F5PJVOVVUlLi1XGNIhBz6ja5qfDlNY4Z76YXwQ1znV9OSeF3BgLFsbS0lGnTpnHq1Cln3eTJk1m8eDH/+c9/vNp3oDj6Ctn9wH+OXu199uzZxMbGEhkZSWRkJLGxscyaNcuo2AIem83GihUrsNlsdR1K7dn+37+vm4h/DaIvqnFTX/m1a9eOq666ioSEBM477zxD9+0uQZlDN5HdUXY/CCxHX7T7CxcuZMyYMYwfP56UlBTi4+MZMGAABw4cqHb7rKwsbrzxRuLj40lJSeG5555j1KhRLF682GW7Ro0akZ2d7fKKjPz7CxR3j2skgZRTjzi6Hb7sC0V/Oma6/28VREQ5/zvo/WpBoDjecMMNjBw5kvfff99Zd9FFF3HnnXd6fVe2QHH0FbL7gR8dhYc8//zzokGDBmLcuHFi+fLlYvny5WLcuHGiYcOGYvz48Z7u1u/k5+cLQOTn57v9XrvdLo4dOybsdrsPIvMBR3cI8U6YEG8hRPI4IXT9tJsb6afrutDPcLy6IOhy6AGyO8ruJ4Tnjt60b9Xhq3b/iiuuECNGjHCp69Klixg3bly12z/zzDOiS5cuLnWPPvqo6NGjh/PnOXPmiKioKEOPW5mQ6j8qcupPIaa3dPQln8YJUXSsyiZB7VdL6srRbre79Kfz5s0TMTExYt68eT45lsx5lN1PCP/1Hx4PKJo0aSIWLFhQpX7BggWiSZMmnu7W7xjd4QYsWpmj4X8LIZbccsbBhJHoui6+//57sWzZsoAcVCgUsmJ0++aLdr+0tFRYLBaxZMkSl/pRo0aJPn36VPue+Ph4MWrUKJe6JUuWCKvVKsrKyoQQjgGFxWIRrVu3FjExMeKmm24Sv/76q1fHrUzI9B8VsWtCfNnP0ZfM7iRE8Ym6jiik+Pbbb8VFF10kvv/+e2edpmmiqKioDqNSyIi77ZvHS57sdjvdu3evUh8XFyf11fIVsdlsfPfdd8ExVbblTcf9wSMbw/Uzqr0IuzJG+WVnZ7Np0ya2bdvG/v37vdqX0QRVDj1EdkfZ/SBwHH3R7ufm5mK322nWrJlLfbNmzWq8xionJ6fa7TVNIzc3F4AuXbowd+5cvv76az7//HMiIyO56qqrnHe98eS4paWlFBQUuLzA8bmU/1tdWdM0l7Ku69hsNr799ltKS0td6sGR74pl8de1KuVlIUSVMuBSLj9Gebk8PzWV7Xa7S7kmJ/2X5+HA/xDW+thvXgSRZ7vEXpNfIDudLk+nKxcXF/Ptt99is9n85vTjjz+yY8cO3njjDWfsFouF8PBwQ5wq56msrIzvvvuOoqKioM3T6c69srIyvv322yp+wexUOU/ljuU/u+PkDh4PKO677z4++uijKvX//e9/uffeez3dbVBhtVqJj4/HavX4Zln+ITcV1k1wlPu+Bw2b1+ptRvm1aNGCO+64g1tuuYW2bdt6tS+jCZoceoHsjrL7QeA4+rLdr7zWWwhx2vXf1W1fsb5Hjx7cd999XHLJJcTHx/Pll1/SqVMnl3Xm7h538uTJREVFOV+tWrUCHLfTBcdDOtPS0gDYvn27c/CSkpJCVlYWAJs2beLgwYNYrVYaNGjgHAAlJyc7y6tWrSIvLw+ApKQkCgsLAUhMTKSkpARN00hMTETTNEpKSkhMTASgsLCQpKQkAPLy8li1ahXgGDwlJycDji941q1bB8DBgwfZtGkT4LguJSUlBYD09HS2b99exWnfj+9j3vwaAJkdnyOroL6LE8C6devIzs7GarUSERHh9AhUpzPlqaJT5TwlJydzySWXYLVafea0fv16NmzY4HQaPHgww4cP56uvvvKJU+U8FRcXEx8fz8qVK4M2T6c79zRNo1evXqxcuVIap8p5Kh+sWK1Wt53cwSTKW2E3efLJJ5k3bx6tWrWiR48eAGzYsIGDBw8ydOhQwsLCnNsG8sOOCgoKiIqKIj8/n0aNGtV1OMZTdBS+6A0n9kCHW+G2ZbWanfCW8lFweHi4z4+lUCiqx+j2zRftfllZGfXr12fRokXccccdzvrRo0ezbds2Vq9eXeU9ffr04bLLLuPdd9911i1dupSBAwdSVFTkEkdFHn74YQ4dOsT333/v0XFLS0ud37iD4/Nt1aoVx48fp3Hjxs5vGC0Wi0tZ0zRMJpOzbDabMZvNNZZtNhsWi8VZtlqtmEwmZxkc31ZWLIeFhSGEcJZ1XcdutzvLuq5jtVprLNvtdoQQznIVj7w9iAVXYiorhMtGofV5O/idAjxPEyZM4JVXXmHYsGHMnDlTCicZ8ySrU1FRkVv9h9cPtouOjiYjI4OMjAyio6Pp1q0bqampIfGwI5vNxvLly+t8GUKNaCWw9CbHYOKs1rVe6lSOp35CCL755hs+++wzysrK3I3arwR8Dg1AdkfZ/SBwHH3R7oeHhxMXF8fKlStd6leuXEmvXr2qfU/Pnj2rbJ+UlET37t1rHEwIIdi2bRvNmzf3+LgRERE0atTI5QV/39/fYrFUW7ZarS7l8j8CvvvuO+cfFeX1AGFhYS7l8hmT8rLJZKpSBlzKZrPZpVz+h0VNZYvF4lJ28bAVwvLbHIOJln3g6reqdTqdX8A51TJPpysDfPPNN9hsNp843XzzzVgsFiIiIlzi9aVT5Txpmsby5cudcQdjnk537mmaxtdff13FL5idKuepfLbCZrO57eQW7lygISPeXFSn67ooKioK3AuNV412XDj3QRMhctPcfrunfseOHROTJ08WL7/8skhPT3f7uP4k4HNoALI7yu4nhOeOwXLR8BdffCHCwsLE7Nmzxa5du8SYMWNEgwYNxL59+4QQQowbN04MGTLEuX1mZqaoX7++GDt2rNi1a5eYPXu2CAsLE1999ZVzmwkTJogffvhBZGRkiJSUFDF8+HBhtVrFxo0ba33cMyF1/1GOXRNi8QBHXzKjlRCn/qjV24LGzwuMdNy3b58YPny4eO+991zqDx8+7PW+vUH2PMruJ4T/+g95Fx37ibpe01wjmd/Br38tBxgwD5p08Wg3nvidc845DBkyhLy8PDp27OjRcf1JwObQQGR3lN0P5HYcNGgQx44dY+LEiWRnZxMbG0tiYiJt2rQBHGt6Kz4bol27diQmJjJ27Fg+/PBDWrRowXvvvcddd93l3CYvL49HHnmEnJwcoqKiuOyyy0hOTuaKK66o9XF9TcDnVAj4eSxkfQ/Weo4ls/XPrfXbA97PAIxyTEpKYs6cOXz77bc8/PDDzueltGjRwpD9e4PseZTdD/zk6MloRya8+YaprKxMLFu2zHmbwoDh8DohptZ3fKP0vyc83o07fna7XRQUFHh8rLoiYHNoILI7yu4nhOeOwTJDEaxI2X9UZN3Ljn7kLYRI+8KttwaFn5d445ibmyt2797tsq9hw4aJDRs2GBmi18ieR9n9hPBf/+HxRdmy4M1Fi+Kvi1vKL4YJCAoOwKfdoOQYtL0Bbl8OFs8ujK6tn91uZ8mSJRw+fJhhw4Zx9tlnexq93wnIHBqM7I6y+4HnjtLfdKKOka7/qEjKh7DqCUe573vQ7Um33h7wfgbgqeP333/PoEGDiI2NZe3atQH9+cieR9n9wH/9h8cXZSscBNQzN+xl8O1Ax2CiWRzc+pXHg4lyauNXUlLCH3/8QWFhIUePHvXqeHVBQOXQR8juKLsfhIZjqBGwOU35AFb9NYDo+ZLbg4lyAtbPQDxxvOyyy9A0jaKiIudtQAMZ2fMoux/4x1ENKLxA0zSSkpIC52Rc/S/I3uh4eN0tX0FYA692V1u/Bg0acP/993PPPfdw/vnne3VMfxNwOfQBsjvK7geh4RhqBGROhQ4/P/3XYEJAt9GOAYUHBKSfwdTGsaysjI8++ogXX3zRWXfeeeexceNGfv31V6Kjo/0RqsfInkfZ/cB/jl4teVq7di3du3cnIiLCpRxMSLMk4PdFjtkJgNu/gQ43+/RwmqZx9OhR5y0YFQpF4OGL9k2Gdt8opOk/AOw2SLwP9nzp+Ln3JLhinF+eWyQza9eupXfv3litVnbv3k2HDh3qOiSFolb4dcnTgAEDOHz4cJVyqCCEoKCggDq/DOX477DiAUf5inGGDSZq8tM0jS+//JI5c+awf/9+Q45VVwRMDn2I7I6y+0FgOYZ6u28UgZRThHBcL7HnSzCHwY2fwZXPejWYCCg/H1Gdo67rziceA1x11VUMGzaMqVOn0rJly7oI0ytkz6PsfuA/R68GFBWDkzkZNaFpGmvWrKnbqTJbEXzzD7CdhJZXw1WvGLbr0/npuo4QwvnQomAlIHLoY2R3lN0PAssx1Nt9owiknPLru7D9v4DJsVz2gnu93mVA+fmIyo779u2je/fu9O7dm+LiYud2c+bMYeTIkUE5kyd7HmX3A/85erXk6ayzzuK3336jffv2LuVgIqinrIWAFcNh5ydQvxkMSYGG/lmCZLPZOHr0aEDcI1uhUFSPL9o3Gdp9owjq/qOcjG9h2a2AgKvfhu5P1XVEQUtpaSmdOnXi+PHjrFixosYnrisUwUDQ3+Vp2rRptGvXjsjISOLi4lizZk2N2y5ZsoTrr7+e6OhoGjVqRM+ePVmxYoXfYtV1nePHj6Prut+O6ULqx47BhMkMN31u+GCiol9ZWRm///678//CwsKkGEzUeQ79gOyOsvtBaDiGGgGR09yd8N3dgICLHoa4sYbtOiD8fMyGDRsYPXq0c6Y+IiKCRYsWkZWVJc1gQvY8yu4H/nMMqAHFwoULGTNmDOPHjyclJYX4+HgGDBjg8oTUiiQnJ3P99deTmJjI1q1b6du3L7fccgspKSl+iddut7N58+a6Wfbz57a/7xF+1SvQuq/hhyj3Ky0tZcGCBXzxxRd++2z9RZ3m0E/I7ii7H4SGY6hR5zktOQHLb3csl211DVz3oaEXYNe5n485duwY11xzDe+99x4rV6501l9xxRU0bdq0DiMzFtnzKLsf+M8xoJY8XXnllXTr1o2PPvrIWXfBBRdw++23M3ny5Frt48ILL2TQoEEut2g7HUE5ZW07BfMuhby90O5GuOMbxyyFjxBCsGLFCrZt28a9995Lq1atfHYshUJhHGrJk28Jyv4DQLfD0ptg3wpo1Abu3QL15fkj2FecOHGCxo0bO3/+5z//ybFjx5gwYQJt27atu8AUCh8QtEueysrK2Lp1KwkJCS71CQkJrFu3rlb70HWdwsJCzjnnHF+EWO3x/vzzT/9Pla2b4BhMNGwJA+b5bDBR7ieEoH///jz66KPSDSbqLId+RHZH2f0gNBxDjTrN6ZpnHYMJaz24bZlPBhMynbOlpaU88sgjtGrVymXFxBtvvMEbb7xB69at6zA63yJTHqtDdj/wn2PADChyc3Ox2+00a9bMpb5Zs2bk5OTUah9vv/02p06dYuDAgTVuU1paSkFBgcsLcE4F2e32asuaprmUdV1H13V27NjhvHK+vB4cFy1XLJdPBJWXhRBVyoBLWdd1l7KmafDnNsTWKQ6Z66ejRzR2Ht9ut7uUPXEqLxcVFbFu3Tq2b9+OpmmYTCYaNmzoG6fTlI10qq5cVlbGjh07nHHJ4FT53LPb7aSmplJaWiqNU8U82e12duzYUcUvmJ0q56ncsfzuau44KQITXddJTU31/x8yv02HLW86yv3nwLmX+uQwdebnA8LDw0lPT+fUqVMsW7bMWS+EkMaxJmTKY3XI7gf+c/RqQPHcc885ZwMqlr3BVGkNpxCiSl11fP7550yYMIGFCxdy7rnn1rjd5MmTiYqKcr7Kv3FPTU0FIC0tjbS0NAC2b99Oeno6ACkpKc57S2/atImDBw9itVoJCwvj6NGjgOOajtzcXABWrVpFXl4eAElJSRQWFgKQmJhISUkJmqaRmJiIpmmUlJSQmJgIQGFhIUlJSQDk5eWxatUqwDHgSl79EyQ9jEnY+bNxX2h/EwcPHmTTpk0AZGVlOa9xSE9PZ/v27W47geNBPHPnzuXHH3/kwIEDTg+fOCUnA5Cdne2cifKF07p168jOzq6Sp9WrV3PZZZdhtVqlcaqcp+LiYq699lqSkpKkcaqYJ03T6NOnj/NJoDI4Vc6TpmmcPHkSq9XqtpPR+KLdD0WsVivXXnstVqvVfwfN+AZ+HOko95wAXQb57FB14mcQJ06cYPLkyZSWlgKOv0umTJnCL7/8wqhRo5zbBbNjbZHdUXY/8J+jV9dQGElZWRn169dn0aJF3HHHHc760aNHs23bNlavXl3jexcuXMjw4cNZtGgRN91002mPU1pa6mwkwLFGrFWrVhw/fpzGjRs7v2G0WCwu5fJv6cvLZrNjLHbo0CFatGiB1Wp11pvNZmw2GxaLxVm2Wq2YTCZnGRzfVlYsh4WFIYRwlnVdx263O8vi13exrH4KERGFfUgq1qiWzpkSq9WK3W5HCOEsV+dxJiez2YymaWzfvp0ff/yR66+/ntjYWKxWq0+cymOvqWykU3XlsrIy/vzzT1q0aIHdbpfCqXKezGYzOTk5NG3alPDwcCmcKubJbDaTnZ1NdHS0i18wO1U+93Rd5/Dhw7Rs2RKTyVRrp6KiouBc4x8keHMNha7rZGdn07x5c2d/4lOyN8GX14BWDLEPQsJMnz4F2+9+BiGE4KKLLmLnzp28//77PPHEEzVuG6yO7iC7o+x+4Llj0F5DER4eTlxcnMvdEgBWrlx52tuvff755wwbNowFCxaccTABjtu6NWrUyOUFjj8Iyv+trmy1Wl3KZrMZXdfZt2+fc9/l9eC4rWrFcvksS3nZZDJVKQMuZbPZ/Hf55GEs6xwXmpviX8ca1dK5TfkfHxaLxaXsiVN5uVu3bjz22GPOJWE+caoQe01lI52qK5vNZjIzM9F1XRqnynkSQpCRkYHFYpHGqWKehBBkZmZW8Qtmp8p5EkKwb98+dF1320kRmOi6TkZGhn+WWugaJN7rGEy0vQH6feTTwQT42c9LysrKnGWTycQTTzxBbGwsHTt2PO37gsnRU2R3lN0P/OcYMDMU4JhpGDJkCNOnT6dnz57897//ZebMmezcuZM2bdrw7LPPcvjwYebNmwc4BhNDhw7l3Xff5c4773Tup169ekRFRdXqmEFxlw4hHLf3y/gaWlwFg5MNvxD71KlT/PzzzyQkJDj/QFEoFMFNULRvQUzQfL47PoakB6FeU3gwAyICOFY/M2fOHF588UXmz59Pnz59AFxmGxWKUCVoZygABg0axNSpU5k4cSKXXnopycnJJCYm0qZNG8CxLrjiHRZmzJiBpmmMHDmS5s2bO1+jR4/2S7y6rrN//37fj2x3L3AMJsxhcP0MwwcTQggWLlzIli1b+Oabb5z1fvOrQ5Rj8CO7H4SGY6jht5zay2DDK47y5f/222AiWM7ZjRs3cujQId5//31nXcXZxtMRLI7eILuj7H7gP8eAGlAAPP744+zbt4/S0lK2bt3q/MYAYO7cufz888/On3/++Wfn3VAqvubOneuXWMvXNfs0SUe3Q9LDjvKV46HphYYfwmQy0a9fP5o0aeLyefvFr45RjsGP7H4QGo6hht9ymjoHCvZBg/Pg0sd9e6wKBOI5K4Rg2bJlzpskALzwwgtMmTKFTz/91O39BaKj0cjuKLsf+M/R4yVPw4YN44EHHnD5AzQYCegpa1sRfNoNTvwObRLgzkQw+24KVtd1aS9KUihCEaPbN1nafaMI6P4DQCuB2efDyUPQ913oNurM75GYESNGMGPGDJ544gmXGQmFQlEVvy15KiwsJCEhgfPPP59JkyZx+PBhT3cVtNjtdvbu3eu7x5mvedYxmGjQHG6cb+hgoqCggPnz57tcdF15MOFzvwBAOQY/svtB4Diqdt84/JLTbR86BhMNY+DiR3x3nGoIlHO24nemgwYNokGDBjRtasyD/ALF0ZfI7ii7H/jP0eMBxeLFizl8+DBPPPEEixYtom3btgwYMICvvvrK+aAl2RFCcOLECXxyXfv+HyHlPUe5/8eGP8n066+/Zu/evSxfvrzGbXzqFyAox+BHdj8IHEfV7huHz3O6bwUk/9tR7vECWCN9c5waqOtzdtu2bdx0003MmjXLWde3b18OHjzISy+9ZMgx6trRH8juKLsf+M/RsLs8paSk8PHHHzNr1iwaNmzIfffdx+OPP875559vxO59RkBOWZfmwycXQeFBuGSE4xZ/BpOfn8/y5cu59dZbOfvssw3fv0KhqHt83b4Fa7tvFAHZfwD88SssvBpsJ6HrELjhE5/fJjbQmDp1KmPHjqVdu3akp6erOzYpFG5SJ3d5ys7OJikpiaSkJCwWCzfeeCM7d+6ka9euTJkyxYhDBCR2u53du3cbP43002jHYCKqPfR507DdVhw7RkVFMXTo0NMOJnzmF0Aox+BHdj8ITMdQbfeNwmc5LdgPS29yDCZaXwcJs+pkMOHvczYrK4vdu3c7fx4xYgQjR45kxYoVPhtMBOLvpdHI7ii7H/jP0eMBhc1mY/Hixdx88820adOGRYsWMXbsWLKzs/nkk09ISkri008/ZeLEiUbGG3AUFxcbu8P0ZbDzE8AEA+ZBeENDdnvixAmmT5/OoUOH3Hqf4X4BiHIMfmT3g8BwVO2+sRieUyHgh2FwKgeaXgS3LgZLuLHHcAN/nbOfffYZnTt35sknn3TWRUZG8sEHH/h8tiwQfi99jeyOsvuBfxw9XvLUtGlTdF3n7rvv5uGHH+bSSy+tss2JEyfo1q0bWVlZXgfqKwJqyrr4GMy5AIqPOu4X3uc1w3a9dOlStm/fTkxMDA8++KDzqbwKhUJejG7fZGn3jSKg+g+A7TNh5SNgrQf3p8LZ7es6Ir+wb98+OnXqRN++fVmyZAkNGjSo65AUiqDHb0uepkyZwpEjR/jwww+r7VQAGjduLHWnYrfbSU1NNW4aafXTjsFEkwuh18vG7PMvbrrpJi677DIGDx5c68GE4X4BiHIMfmT3g8BxVO2+cRie08LDjj4EoPd/6nww4atzNj8/n5deeokJEyY469q2bUtaWhorVqzw62AiUH4vfYnsjrL7gf8cPR5QDBkyhMhI/941QmoOrIKdcwETJMwEa4TXuywrK3OWw8PDufXWW2nY0JglVAqFIvTwZbs/bdo02rVrR2RkJHFxcaxZs+a0269evZq4uDgiIyNp374906dPd/n/mTNnEh8fT+PGjWncuDH9+vVj06ZNLttMmDABk8nk8jrvvPMMd/M5QsCPI6GsAM67Ai6T93kT69evZ+LEibz22msuD6jr0KFDHUalUCjUU8y8wGKxEBsb6/0FX7ZiWPmoo3zJY9Cip9exHT16lA8++IDt27d7vA/D/AIY5Rj8yO4H8jsuXLiQMWPGMH78eFJSUoiPj2fAgAEcOHCg2u2zsrK48cYbiY+PJyUlheeee45Ro0axePFi5zY///wzd999Nz/99BPr16+ndevWJCQkVHl2xoUXXkh2drbztWPHDp+6lmNoTvcug4zlYA6D/rN9+gDU2mKUX2lpKb///rvz5/79+/PAAw8wf/78Oh/8yf57CfI7yu4H/nNUAwovsNvtpKSkeD+NtPE/kLcXGraA+EmGxPbbb79RWFjIhg0bPH7cumF+AYxyDH5k9wP5Hd955x0efPBBHnroIS644AKmTp1Kq1at+Oij6m+ZPX36dFq3bs3UqVO54IILeOihh3jggQd46623nNvMnz+fxx9/nEsvvZQuXbowc+ZMdF3nxx9/dNmX1WrlvPPOc76io6N96lqOYTnVSmH1Px3ly5+BprHeB2cARvjt2LGDzp07M2DAAOeMu8lkYvbs2dx11111fi2g7L+XIL+j7H7gP0c1oPCSevXqebeD3FTY/LqjfO0HEBHlfVDAddddx7XXXsuQIUOqPAHbHbz2CwKUY/Ajux/I61hWVsbWrVtJSEhwqU9ISGDdunXVvmf9+vVVtu/fvz9btmyp8QF7RUVF2Gw2zjnnHJf69PR0WrRoQbt27Rg8eDCZmZle2LiHITn9dSrkZzm+kLpinPf7MxBv/dq3b09JSQklJSWkp6cbFJWxyPp7WRHZHWX3A/84qgGFF1gsFrp06eL5NJLQIekR0DXocBucf4dX8eTn5zufNWEymYiPj/fqJPLaLwhQjsGP7H4gt2Nubi52u51mzZq51Ddr1oycnJxq35OTk1Pt9pqmkZubW+17xo0bR0xMDP369XPWXXnllcybN48VK1Ywc+ZMcnJy6NWrF8eOHat2H6WlpRQUFLi8AOc3f3a7vdqypmkuZV3XsVgsdOzY0fkte3k9OG7PW7Fc3q6Xl4UQjvLJbMTG/ziC6z0ZEdbAOaDSdd2lrGnaact2u92l7InT6fzO5KTrOsuWLeOpp55y+jVo0IDExER2797NhRdeWOdOlcu6rtOpUycsFsvp81ShDLiUA82pcp7MZjNdunRB13VpnCrmyWw207lz5yp+wexUOU9ms5kOHTpgsVjcdnIHNaDwAk3T2Lx5s0cfPAC/zYDs9RDWEK77wKtYjhw5wvTp0/nf//5n2OPVvfYLApRj8CO7H4SGY+XlK0KI0y5pqW776uoB3njjDT7//HOWLFniclH5gAEDuOuuu7jooovo168f3333HQCffPJJtcecPHkyUVFRzlerVq0ASE1NBSAtLY20tDQAtm/f7vxWPSUlxXnnq02bNnHw4EE0TSMpKcl5TUdycrJzMLRq1Sry8vIASEpKorCwEIAWwp1KAAAgAElEQVTExERKSkrQNI3ExETEL89jKivkRMT50PU+CgsLSUpKAiAvL49Vq1YBjkFbcnIy4HggYfnMz8GDB50XqmdlZZGSkgI4Zm3Kr79zxwlg3bp1ZGdno2kaK1as4I8//qiVU0ZGBnfddRdTpkxh9erVJCYmAtCxY0fnBfp17VRdntavX+/MZU150jSNkpISp1Mg5ak6p4p5ysvLY/PmzVI5VczTyZMn2bRpk1ROlfN08uRJZ9ldJ7cQIU5+fr4ARH5+vtvv1TRNpKenC03T3D9wwSEh3mskxFsI8ev77r+/Elu3bhUTJkwQs2bNEmVlZV7vTwgv/YIE5Rj8yO4nhOeO3rRv/qK0tFRYLBaxZMkSl/pRo0aJPn36VPue+Ph4MWrUKJe6JUuWCKvVWqX9e/PNN0VUVJTYvHlzreLp16+fGDFiRLX/V1JSIvLz852vgwcPCkAcP35cCOHIU3mOKpZtNptL2W63C03TxO+//+6Mt7xeCCHKyspcyrquu5R1XRdlhzcJ/S2TEG8hbPtXCyGEo/6v/dntdpeyzWY7bVnTNJdydR5ncqrst3v3bmcM1TkdOXLExemJJ54QzzzzjMjNzXW+L5CcKpdLSkrEnj17hKZpNeepUjnQnSrnyWazifT0dFFcXCyNU8U82Ww2sWfPnip+wexUOU82m03s3r1baJrmlpO7/YfHD7aThTp7MNE3A2HPImh+JQxea8hdOXbt2kWHDh2IiPD+lrMKhSL4CbgHr9XAlVdeSVxcHNOmTXPWde3aldtuu43JkydX2f7f//4333zzDbt27XLWPfbYY2zbto3169c76958801effVVVqxYQY8ePc4YR2lpKR06dOCRRx7hxRdfPOP2dfb5CgFf9oVDq6HzILj5C/8d2wDy8/MZMmQIq1atIiMjo8ryNYVCUff47cF2CscyhHXr1rm/DOFQsmMwYTJDvxkeDyZycnJcjt21a1dDBxMe+wURyjH4kd0P5Hd86qmnmDVrFh9//DFpaWmMHTuWAwcOMGLECACeffZZhg4d6tx+xIgR7N+/n6eeeoq0tDQ+/vhjZs+ezdNPP+3c5o033uD555/n448/pm3btuTk5JCTk8PJkyed2zz99NOsXr2arKwsNm7cyD/+8Q8KCgq4//77fe7sVU73LnMMJqyR0Od144MzgNP5NWrUiJycHIqLi51LLoIR2X8vQX5H2f3Af45Wn+5dcsxmMzExMe7dRUno8NNYR/mih+HcSzw69v79+1mwYAFt2rRh4MCBWK3Gp9IjvyBDOQY/svuB/I6DBg3i2LFjTJw4kezsbGJjY0lMTKRNmzaAY01vxWdStGvXjsTERMaOHcuHH35IixYteO+997jrrruc20ybNo2ysjL+8Y9/uByr4lOWDx06xN13301ubi7R0dH06NGDDRs2OI/rSzzOqVb69xOxuz8NjXwfqydU9Nu/fz/Tp0/nlVdewWq1YjKZmDFjBvXr16dz5851HarHyP57CfI7yu4H/nNUS578PWWdOhdWDIfwRvBgOtQ/16Pd7Nu3j/nz59O6dWsGDx5MWFiYsXEqFIqgJ1iWPAUrdfL5bn4Tkp+BBs3hgT0Q3tA/x/UQTdNo06YNR44c4eOPP2b48OF1HZJCoagFasmTH9E0jeTk5NpPI5WdhF+ec5R7PO/xYAKgbdu2DBs2zKeDCbf9ghDlGPzI7geh4RhqeJTToj9hw6uOcvzkgB1MnDp1yukHMHbsWK699lpiYwPjoXtGEQq/l7I7yu4H/nNUAwovKL+3b62nkTa/AaeyIao9XDbK7ePt27fPZf1vTEyMT2cm3PYLQpRj8CO7H4SGY6jhUU7XvgBlBdAsDroO8V1wHiKEYNKkSbRs2ZKUlBSn31NPPcWPP/7I5ZdfXtchGkoo/F7K7ii7H/jPUd5P0A+4tS6t4ABsedNR7vMGWN27eDozM5PPPvuMTz75hKKiIg+idR+1tlAOZHeU3Q9CwzHUcDunf/4GO2Y5yn3fddzUI8AwmUykpaWRl5fH3LlznX6ynreh8Hspu6PsfuA/R3k/QT+gaRqrVq2q3TTSmmdBK4GWfeD8O90+VuPGjWnQoAFNmjTx221h3fILUpRj8CO7H4SGY6jhVk6FgJ/HOm7q0XkQxFzl+wBrgc1m47///a/Lk8VffvllFixYwJQpU6Q/Z0Ph91J2R9n9wH+O6i5PXmA2m4mNjT3zqC97I+xeAJjgmilwmqe/1kTjxo154IEHaNiwIRaL98+sqA219gtilGPwI7sfhIZjqOFWTvcuh4M/gSUioG4TO3DgQJYtW0ZGRgavv+6Iq3379rRv3x5d16U/Z0Ph91J2R9n9wH+O8n6CfsBsNnPuueeePklC/H2b2Avvh2bdar3/3bt3Ox+5DhAVFeW3wQTU0i/IUY7Bj+x+EBqOoUatc1p01DE7AXV+m1ghBLquO39+8MEHOffcc+nQoUOVbUPhnFWOwY/sfuA/R3k/QT9gs9lYsWIFNput5o1+XwjZ6yGsAfT+T633nZmZyaJFi5g3bx7Hjx83IFr3qZVfkKMcgx/Z/SA0HEONWuXUVgTLboWCfdCoLVwxzl/hVaH8ouqFCxc662666SaysrJ45JFHqmwfCuescgx+ZPcD/zmqAYUXWCwWLr/88ppnDWzFjvuFg6MjaNii1vuOiYmhRYsWnH/++Zx99tkGROs+Z/STAOUY/MjuB6HhGGqcMae6Hb67B7I3QGRjuDOxTm8Tu2HDBrZu3cqbb75J+eOrTCYT9evXr3b7UDhnlWPwI7sf+M9RXUPhBWazmXPOOafmDba+A4UH4axWEPdPt/YdERHBfffdR1hYWJ1NxZ3RTwKUY/Ajux+EhmOoccacJv8bMpY7rpu4bTk0ucB/wQFbt27lrLPOolOnTgCMHj2aoqIixowZg6kW1wGGwjmrHIMf2f3Af45qhsILbDYb3333XfXTSCezYdNkRzn+NQird8b9bd++nZ07dzp/joiIqNN1faf1kwTlGPzI7geh4RhqnDanx3bBr1Mc5QHzoGW8X2ObMmUK3bt355lnnnHWNWzYkP/85z9ER0fXah+hcM4qx+BHdj/wn6MaUHiB1WolPj4eq7WaiZ61z4PtFDS/ErrcfcZ97d+/n6VLl7J48WKOHDnig2jd57R+kqAcgx/Z/SA0HEON0+Z0zXOOW8R2vAM6D/R7bAMGDCAsLIyoqCiPbzUZCuescgx+ZPcD/znK+wn6AZPJRKNGjar+x5+/QeocR/maqbW6TWyrVq24+OKLCQ8Pp3nz5gZH6hk1+kmEcgx+ZPeD0HAMNWrM6eG1jqVOJjP0nuTzOA4fPswrr7xCTEwML7zwAgBdunThwIEDnHfeeR7vNxTOWeUY/MjuB/5zVDMUXmCz2Vi+fHnVaaQNEwHheABRix612pfZbOa2227jxhtvrNX6VH9Qo59EKMfgR3Y/CA3HUKPanArhuHYCIPZBaNLF53GsX7+eGTNm8MYbb5Cfn++s92YwAaFxzirH4Ed2P/Cfo0mU364hRCkoKCAqKor8/Hy3R3BCCEpKSoiMjPx7EHB0B8y7GDDBsFRo0rXG92/evJmTJ0/St29fLwx8R7V+kqEcgx/Z/cBzR2/aN8WZMbz/2Ps1LL8NrPXggXQ4K8bwmPPy8jh06BCxsbEA6LrOY489xn333Ud8vHHXaqjfSzmQ3VF2P/Bf/6GWPHlJlTVpG151/NvpH6cdTOTk5JCYmAhA69atq30wUCAg87rCcpRj8CO7H4SGY6jhklOhw9rxjnK30T4ZTKxZs4Zbb72VFi1asH37diwWC2azmRkzZhh+LAiNc1Y5Bj+y+4F/HNWSJy/QNI3ExMS/L1o7lgZ7FjnKPZ4/7XvPO+88EhIS6NWrF+3bt/dxpJ5RxU9ClGPwI7sfhIZjqFElp78vgtxUiIiCy585/Zs95OKLL3Z+Q3n48GGfHKOcUDhnlWPwI7sf+M9RLXnycspa0zSsVqujkU68D9LmQ8fb4balNb4nWKbVqvhJiHIMfmT3A88d1ZIn32JY/yF0+CQWju+GXhOh5wtex6ZpGp988gk7d+7knXfecdbv2rWLzp07+/whV+r3Ug5kd5TdD/zXf6gZCi9xjvhOpMPuzx3lHtV3Br/88gtffvkldrvdT9F5j8yj9nKUY/Ajux+EhmOo4czp7s8dg4nIcxzLnQxg9+7dPPzww0yZMoVt27Y567t27eq3pwKHwjmrHIMf2f3AP45qQOEFmqaRlJTkSNTGSY41sO1vgmbdqmx74sQJfv75Z3bv3s3vv/9eB9G6j4ufpCjH4Ed2PwgNx1DDmdOyElj/sqOy+78gwrOZJCEEGRkZzp9jY2MZOXIkb7/9Np07dzYiZLcIhXNWOQY/svuB/xzVkicjlgTkZ8Hs80HY4Z4NjofZVUN6ejp//PEHvXv39iJihUKhqB1qyZNvMeTz3fkJ/DAM6kXDQ5kQ3tDtXeTk5HDbbbexZ88esrKyOPvssz2LRaFQKP5CLXnyI0IICgoKEFvecQwm2iS4DCaEEJSVlTl/Pv/884NqMOH0k3jMqRyDH9n9IDQcQw1nTncvdFR0G+3RYAIgOjqaU6dOUVZWxubNmw2M0nNC4ZxVjsGP7H7gP0c1oPACTdNYk7wa9nzlqKiw9lUIwapVq5g9ezZFRUV1FKF3aJrGmjVrpJ8KVI7Bjex+EBqOoYamaaxdvQoOrXZUdLil1u/dtm0bo0ePRtd1ACwWC5999hmZmZlcf/31vgjXbULhnFWOwY/sfuA/R7Xkydsp60O/wMJ4x63+HvsTLOEAnDp1iunTp3Py5EnuuOMOLr74YoMjVygUitOjljz5Fq8/34M/w5d9oX4zGJENtbgDy6lTp4iJiSE/P5+FCxcycOBA94+rUCgUZ0AtefIjuq5TsuMzxw8dbnMOJgAaNGjA0KFDufnmm4N2MKHrOsePH3d+CyYjyjH4kd0PQsMx1NB1neLdXzt+aNPvtIOJ48ePO8sNGjTgn//8J3fffTfdulW9AUigEArnrHIMfmT3A/85qgGFF9g1DZG+xPHD+Xc516mVEx0dTVxcXB1F5z12u53NmzcH1W1u3UU5Bj+y+0FoOIYadrudsvTvHD+0qX6Zkq7rPPnkk8TExLBr1y5n/fPPP8+CBQvo2LGjP0L1iFA4Z5Vj8CO7H/jPUS158mbKOnen42FE1nqIx4/x/cqf2LlzJ/fffz/nnnuubwJWKBSKWqKWPPkWrz7f4uMwrSkg4JFDcFZMtZvdeeedLF26lIkTJ/LCC94/8E6hUChqQ9AveZo2bRrt2rUjMjKSuLg41qxZc9rtV69eTVxcHJGRkbRv357p06f7KVLQD6wCQLTohU1YOHToEEVFReTk5PgtBl+i6zp//vmn9FOByjG4kd0PQsPRF23/4sWL6dq1KxEREXTt2pWlS5d6fVyj0Pf/DxCIc7o6BxMFBQVMmjSJwsJC53aTJ09m1apVQTeYCIVzVjkGP7L7gf8cA2pAsXDhQsaMGcP48eNJSUkhPj6eAQMGcODAgWq3z8rK4sYbbyQ+Pp6UlBSee+45Ro0axeLFi/0T8IGfANBjriE8PJwhQ4YwcODAoL1mojK6rpOamir9L5pyDG5k9wP5HX3R9q9fv55BgwYxZMgQfvvtN2f7vHHjRo+Payj7VwIgWl/nrBowYADjx49n6tSpzrrOnTvTt29f38djMLKfs6AcZUB2P/CjowggrrjiCjFixAiXui5duohx48ZVu/0zzzwjunTp4lL36KOPih49etT6mPn5+QIQ+fn57gWr24X9/Sbi8OvNhTi8zr33KhQKhR/wuH3zM75o+wcOHChuuOEGl2369+8vBg8e7PFxK+PV5zuznSh9DaHv/cZZ9cUXX4jOnTuLpUuXur8/hUKhMBB327eAmaEoKytj69atJCQkuNQnJCSwbt26at+zfv36Ktv379+fLVu2YLPZfBYrgP7Hdr7Oj2d28UPszpNzbbKu6xw+fFj6kbtyDG5k9wO5HX3V9te0Tfk+PTmuYeRl8PnPWXR+A5b9+vfypv/7v/8jNTWV22+/3bfH9wMyn7PlKMfgR3Y/8J9jwAwocnNzsdvtNGvWzKW+WbNmNV6TkJOTU+32mqaRm5tb7XtKS0spKChweQHOq9/tdnu1ZU3TXMr6gVVoWBGYKLVpf9f/lTCbzeZSFn9d+15eFkJUKQMuZV3XXcrlDyWpqWy3213Kbjv9FW95Wdd19u7d69ynDE6Vy2VlZezdu9cZlwxOlfNkt9vJyMigtLRUGqeKebLb7ezdu7eKXzA7Vc5TuaOu6247BTq+avtr2qZ8n54c17D+I2sFO7Jh33H4cMZsZz2A1WqVoq1V/UdwOqn+I/id6qr/CJgBRTmmSvfiFkJUqTvT9tXVlzN58mSioqKcr1atWgGQmpoKQFpaGmlpaQBs376d9PR0AFJSUsjKygJg06ZN5BXr3NEqk4TWeTRt2hSA5ORkZ2e2atUq8vLyAEhKSnJeZJeYmEhJSQmappGYmIimaZSUlJCYmAhAYWEhSUlJAOTl5bFqlePC79zcXJKTkwHIzs52foN28OBBNm3aBDjWFaekpACQnp7O9u3b3XI6ePAgAOvWrSM7Oxur1Yrdbnd6yOBUOU+rV6/moosuwmq1SuNUOU/FxcX06dOHpKQkaZwq5knTNHr16kVSUpI0TpXzpGkaeXl5WK1Wt52CBV+0/bXZpzvHNar/OH7Sxr/+72KevfcK58Xkqv8IfKfKeVL9R3A6qf7DR/1HrRZG+YHS0lJhsVjEkiVLXOpHjRol+vTpU+174uPjxahRo1zqlixZIqxWqygrK6v2PSUlJSI/P9/5OnjwoADE8ePHhRBCaJomNE2rUrbZbC5lu90u7Ha7yNi7V9hsNpd6IYQoKytzKeu67lLWdb1KWQjhUrbb7S7l8uPUVNY0zaVcnceZnKr4ZWQ49ymDU+VyaWmpyMrKcsYlg1PlPGmaJvbt2ydKSkqkcaqYJ03TRFZWVhW/YHaqnCdN00RGRoaw2+1uOQXDNRS+avtbtWol3nnnHZdt3nnnHdG6dWuPj6v6D9V/qP4j+J1U/+Gb/iNgZijCw8OJi4tj5cqVLvUrV66kV69e1b6nZ8+eVbZPSkqie/fuhIWFVfueiIgIGjVq5PICsFgszn+rK1utVpey2WxG13Vy/vjDue/yeoCwsDCXcvk3XuVlk8lUpQy4lM1ms0vZarWetmyxWFzKnjhV8asw9S+DU+Wy2WzmyJEj6LoujVPlPAkhOHz4MBaLRRqninkSQnDkyJEqfsHsVDlPQghycnLQdd1tp0DHV21/TduU79OT46r+Q/Ufqv8IfifVf/io/6jVsMNPfPHFFyIsLEzMnj1b7Nq1S4wZM0Y0aNBA7Nu3TwghxLhx48SQIUOc22dmZor69euLsWPHil27donZs2eLsLAw8dVXX9X6mMHwDZ5CoVB4QrC0b75o+9euXSssFot47bXXRFpamnjttdeE1WoVGzZsqPVxz0SwfL4KhULhLu62bwE1oBBCiA8//FC0adNGhIeHi27duonVq1c7/+/+++8XV199tcv2P//8s7jssstEeHi4aNu2rfjoo4/cOp43HYKmaSI9Pd05TSUbsvsJoRxlQHY/ITx3DKY/eH3R9i9atEh07txZhIWFiS5duojFixe7ddwzofqPmpHdTwjlKAOy+wnhv/7DJMRfV7KFKO4+WrwimqaRkpLCZZddFjTLC9xBdj9QjjIgux947uhN+6Y4M6r/qBnZ/UA5yoDsfuC//kMNKFSHq1AoJEW1b75Ffb4KhUJW3G3fAuai7GDEbreze/du572DZUN2P1COMiC7H4SGY6ghe05l9wPlKAOy+4H/HNWAwkuKi4vrOgSfIrsfKEcZkN0PQsMx1JA9p7L7gXKUAdn9wD+OasmTmrJWKBSSoto336I+X4VCIStqyZMfsdvtpKamSjtVJrsfKEcZkN0PQsMx1JA9p7L7gXKUAdn9wH+OakChUCgUCoVCoVAoPEYteVJT1gqFQlJU++Zb1OerUChkxd32Tc6b7rpB+XiqoKDA7feWTyPFxsY6H5kuE7L7gXKUAdn9wHPH8nYtxL838hmq/6gZ2f1AOcqA7H7gv/4j5AcUhYWFALRq1aqOI1EoFArfUFhYSFRUVF2HIR2q/1AoFLJT2/4j5Jc86brOkSNHOOusszCZTG69t6CggFatWnHw4EEpp7tl9wPlKAOy+4HnjkIICgsLadGiBWazumTOaFT/UTOy+4FylAHZ/cB//UfIz1CYzWZatmzp1T4aNWok7YkI8vuBcpQB2f3AM0c1M+E7VP9xZmT3A+UoA7L7ge/7D/WVlUKhUCgUCoVCofAYNaBQKBQKhUKhUCgUHmOZMGHChLoOIpixWCxcc801WK1yrh6T3Q+UowzI7geh4RhqyJ5T2f1AOcqA7H7gH8eQvyhboVAoFAqFQqFQeI5a8qRQKBQKhUKhUCg8Rg0oFAqFQqFQKBQKhceoAYVCoVAoFAqFQqHwGDWgOA3Tpk2jXbt2REZGEhcXx5o1a067/erVq4mLiyMyMpL27dszffp0P0XqOe44LlmyhOuvv57o6GgaNWpEz549WbFihR+j9Qx381jO2rVrsVqtXHrppT6O0HvcdSwtLWX8+PG0adOGiIgIOnTowMcff+ynaN3HXb/58+dzySWXUL9+fZo3b87w4cM5duyYn6J1n+TkZG655RZatGiByWRi2bJlZ3xPMLY3MuOL/mLx4sV07dqViIgIunbtytKlS30Vfq0w2nHmzJnEx8fTuHFjGjduTL9+/di0aZMvFU6LL/v8L774ApPJxO2332502G7hC8e8vDxGjhxJ8+bNiYyM5IILLiAxMdFXCmfEF45Tp06lc+fO1KtXj1atWjF27FhKSkp8pXBG3HHMzs7mnnvuoXPnzpjNZsaMGVPtdl63N0JRLV988YUICwsTM2fOFLt27RKjR48WDRo0EPv37692+8zMTFG/fn0xevRosWvXLjFz5kwRFhYmvvrqKz9HXnvcdRw9erR4/fXXxaZNm8SePXvEs88+K8LCwsSvv/7q58hrj7uO5eTl5Yn27duLhIQEcckll/gpWs/wxPHWW28VV155pVi5cqXIysoSGzduFGvXrvVj1LXHXb81a9YIs9ks3n33XZGZmSnWrFkjLrzwQnH77bf7OfLak5iYKMaPHy8WL14sALF06dLTbh+M7Y3M+KK/WLdunbBYLGLSpEkiLS1NTJo0SVitVrFhwwZ/abngC8d77rlHfPjhhyIlJUWkpaWJ4cOHi6ioKHHo0CF/aTnxZZ+/b98+ERMTI+Lj48Vtt93ma5Ua8YVjaWmp6N69u7jxxhvFL7/8Ivbt2yfWrFkjtm3b5i8tF3zh+Nlnn4mIiAgxf/58kZWVJVasWCGaN28uxowZ4y8tF9x1zMrKEqNGjRKffPKJuPTSS8Xo0aOrbGNEe6MGFDVwxRVXiBEjRrjUdenSRYwbN67a7Z955hnRpUsXl7pHH31U9OjRw2cxeou7jtXRtWtX8fLLLxsdmmF46jho0CDx/PPPi5deeingBxTuOn7//fciKipKHDt2zB/heY27fm+++aZo3769S917770nWrZs6bMYjaQ2A4pgbG9kxhf9xcCBA8UNN9zgsk3//v3F4MGDDYraPfzRJ2qaJs466yzxySefeB+wm/jKT9M0cdVVV4lZs2aJ+++/v04HFL5w/Oijj0T79u1FWVmZ8QF7gC8cR44cKa699lqXbZ566inRu3dvg6J2D2/+drv66qurHVAY0d6oJU/VUFZWxtatW0lISHCpT0hIYN26ddW+Z/369VW279+/P1u2bMFms/ksVk/xxLEyuq5TWFjIOeec44sQvcZTxzlz5pCRkcFLL73k6xC9xhPHr7/+mu7du/PGG28QExNDp06dePrppykuLvZHyG7hiV+vXr04dOgQiYmJCCH4448/+Oqrr7jpppv8EbJfCLb2RmZ81V/UtE1t22cj8VefWFRUhM1m83uf4ku/iRMnEh0dzYMPPmh84G7gK8evv/6anj17MnLkSJo1a0ZsbCyTJk3Cbrf7RuQ0+Mqxd+/ebN261bkcLzMzk8TExDrpU4z42606jGhv5H2Khxfk5uZit9tp1qyZS32zZs3Iycmp9j05OTnVbq9pGrm5uTRv3txn8XqCJ46Vefvttzl16hQDBw70RYhe44ljeno648aNY82aNUHxkBtPHDMzM/nll1+IjIxk6dKl5Obm8vjjj3P8+PGAu47CE79evXoxf/58Bg0aRElJCZqmceutt/L+++/7I2S/EGztjcz4qr+oaZvats9G4q8+cdy4ccTExNCvXz/jgq8FvvJbu3Yts2fPZtu2bT6Lvbb4yjEzM5NVq1Zx7733kpiYSHp6OiNHjkTTNF588UWf+VSHrxwHDx7M0aNH6d27N0IINE3jscceY9y4cT5zqQkj/narDiPaGzVDcRpMJpPLz0KIKnVn2r66+kDCXcdyPv/8cyZMmMDChQs599xzfRWeIdTW0W63c8899/Dyyy/TqVMnf4VnCO7kUdd1TCYT8+fP54r/b+fuQqLauziOr6PjpPhyLhJzSDEScYySTFNKQoyuiqKLiKjEIAkpiQqEQMrAl+wFkUCFQgoEJTSvJGQUUjAhskYRFaPMXrCoi4IpAwvXuehxeDq+5Oxmz4ye7wfmZmar68fW/5q1t/PPzJTdu3dLdXW13LlzJyDvUoh4lm9kZEROnz4tFy9elCdPnkhHR4e8fPlSCgsLfVGqzyzH9WYlM6NfGF2fzWJmT7x69ao0NzdLW1ubhIaGeqFaz3kzn8vlkqNHj8qtW7ckOjra+8Ua5O1zODMzIzExMXLz5k1JT0+XQ4cOSUlJidTX13u58qXzdsbu7m6pqKiQuro6efr0qbS1tUl7e7uUlR/CVEEAAAZVSURBVJV5ufKlM2Nt+NPvGfiXYP0gOjpagoOD50xmHz58mDPBzYqNjZ33eIvFIqtXrzatVqOMZJx19+5dOX78uLS0tPj8SpInPM3ocrmkv79fnE6nFBUVicjPxVJVxWKxiMPhkJ07d/qk9qUych5tNpusXbtW/v77b/dzKSkpoqry9u1bSUpKMrVmTxjJd/nyZcnOzpbi4mIREUlNTZXw8HDZsWOHlJeXr4ir98ttvVnJzOoXCx3zu/XZDGb3xOvXr0tlZaV0dXVJamqqd4tfAjPyDQ8Py8TEhOzdu9f9+szMjIiIWCwWGRsbk8TERC8nWZhZ59Bms0lISIgEBwe7j0lJSZH379/L9PS0WK1WLydZmFkZL1y4IHl5eVJQUCAiIps2bZKvX7/KiRMnpKSkRIKCfHdt/k/euy3GG+sNdyjmYbVaJT09XTo7O395vrOzU7Zv3z7v12zbtm3O8Q6HQzIyMiQkJMS0Wo0yklHk552JY8eOSVNTU8D/T7qnGaOiomRoaEgGBgbcj8LCQklOTpaBgQHJysryVelLZuQ8Zmdny+TkpHz58sX93LNnzyQoKEji4uJMrddTRvJNTU3NWeBnm93slaflbrmtNyuZWf1ioWMWW5/NYmZPvHbtmpSVlUlHR4dkZGR4v/glMCOf3W6f00/27dsnubm5MjAwIPHx8ablmY9Z5zA7O1ueP3/uHpZEfvYTm83m02FCxLyMC/UU/bmxkRcT/J7R926/45X1Zskf3/6Pmd2Wq6GhQUdGRvTMmTMaHh6uExMTqqp6/vx5zcvLcx8/u/XY2bNndWRkRBsaGgJ+G0dPMzY1NanFYtHa2lp99+6d+/H582d/RfgtTzP+23LY5cnTjC6XS+Pi4vTAgQM6PDysPT09mpSUpAUFBf6KsChP892+fVstFovW1dXpixcvtLe3VzMyMjQzM9NfEX7L5XKp0+lUp9OpIqLV1dXqdDrd2wCuhPVmJTOjXzx8+FCDg4O1qqpKR0dHtaqqKiC2jfVmxitXrqjVatXW1tZfeorL5VoR+f7N37s8mZHx9evXGhERoUVFRTo2Nqbt7e0aExOj5eXlPs+nak7G0tJSjYyM1ObmZh0fH1eHw6GJiYl68OBBn+dTNfa+Zra/pKen6+HDh9XpdOrw8LD7dW+sNwwUi6itrdWEhAS1Wq26ZcsW7enpcb+Wn5+vOTk5vxzf3d2taWlparVadd26dVpfX+/jij3nScacnBwVkTmP/Px83xfuAU/P4/9bDgOFqucZR0dHddeuXRoWFqZxcXF67tw5nZqa8nHVS+dpvhs3buiGDRs0LCxMbTabHjlyxC972y/VgwcPFv3bWinrzUpmRr9oaWnR5ORkDQkJUbvdrvfu3TM7xqK8nTEhIWHe3/vS0lIfpJnL7J7v74FC1ZyMfX19mpWVpatWrdL169drRUWF/vjxw+woC/J2xu/fv+ulS5c0MTFRQ0NDNT4+Xk+ePKmfPn3yRZx5eZpxvr+zhISEX4750/Xmr//9IAAAAADwGJ+hAAAAAGAYAwUAAAAAwxgoAAAAABjGQAEAAADAMAYKAAAAAIYxUAAAAAAwjIECAAAAgGEMFAAAAAAMY6AAAAAAYBgDBQAAAADDGCgAAAAAGMZAAfjAx48fJTY2ViorK93PPXr0SKxWqzgcDj9WBgAIZPQPLAd/qar6uwjgv+D+/fuyf/9+6evrE7vdLmlpabJnzx6pqanxd2kAgABG/0CgY6AAfOjUqVPS1dUlW7dulcHBQXn8+LGEhob6uywAQICjfyCQMVAAPvTt2zfZuHGjvHnzRvr7+yU1NdXfJQEAlgH6BwIZn6EAfGh8fFwmJydlZmZGXr165e9yAADLBP0DgYw7FICPTE9PS2ZmpmzevFnsdrtUV1fL0NCQrFmzxt+lAQACGP0DgY6BAvCR4uJiaW1tlcHBQYmIiJDc3FyJjIyU9vZ2f5cGAAhg9A8EOv7lCfCB7u5uqampkcbGRomKipKgoCBpbGyU3t5eqa+v93d5AIAARf/AcsAdCgAAAACGcYcCAAAAgGEMFAAAAAAMY6AAAAAAYBgDBQAAAADDGCgAAAAAGMZAAQAAAMAwBgoAAAAAhjFQAAAAADCMgQIAAACAYQwUAAAAAAxjoAAAAABgGAMFAAAAAMP+AQujY0cwuqWQAAAAAElFTkSuQmCC",
"text/plain": "Figure(PyObject <Figure size 800x400 with 2 Axes>)"
},
"metadata": {},
"output_type": "display_data"
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "ecdf(pval,0.018), invlogcdf(Chisq(1), log(1-0.018))",
"execution_count": 22,
"outputs": [
{
"data": {
"text/plain": "(0.0531, 5.596149122148915)"
},
"execution_count": 22,
"metadata": {},
"output_type": "execute_result"
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "$n=8$ の場合にはカイ二乗近似の誤差が大きくなっている。\n\n実質的な意味で有意水準 $5\\%$ を実現するためにはカイ二乗近似によって計算したp値が $1.8\\%$ 以下になることが必要なようだ。すなわち、対数尤度比が5.6以上になることが必要なようだ。その条件はt分布モデルのAICが正規分布モデルのAICよりも3.6以上大きくなることと同値である。\n\n正規分布モデルの最大尤度よりも大きなt分布モデルの尤度が計算できた場合以外を捨てていることの悪影響があるかもしれないので要注意。"
},
{
"metadata": {},
"cell_type": "markdown",
"source": "### n = 32"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "n = 32\nNiters = 10^4\n@time sim32 = simulate_tmodel(n, Niters);",
"execution_count": 23,
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": " 67.562820 seconds (76.31 M allocations: 1.659 GiB, 0.37% gc time)\n"
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "sim = sim32\nn = 32\nllr = loglikelihoodratio(sim)\npval = ccdf.(Chisq(1), llr)\necdf_pval(x) = ecdf(pval ,x)\n\nfigure(figsize=(8,4))\n\nax1 = subplot2grid((1,2), (0,0), rowspan=1, colspan=1)\nx = collect(linspace(0.0, 1.0, 200))\nplot(x, ecdf_pval.(x), color=\"darkorange\", label=\"LLR χ²\")\nplot(x, x, color=\"gray\", ls=\":\", label=\"y = x\")\nxlabel(\"x\")\nylabel(\"y = probability(p-value \\$\\\\leqq\\$ x)\")\ngrid(\"on\", ls=\":\")\nlegend()\ntitle(\"TModel(μ,ρ,ν) vs. Normal(μ,σ) [n = $n]\", fontsize=10)\n\nax2 = subplot2grid((1,2), (0,1), rowspan=1, colspan=1)\nx = collect(linspace(0.0, 0.1, 100))\nplot(x, ecdf_pval.(x), color=\"darkorange\", label=\"LLR χ²\")\nplot(x, x, color=\"black\", ls=\":\", label=\"y = x\")\nxlabel(\"x\")\nylabel(\"y = probability(p-value \\$\\\\leqq\\$ x)\")\ngrid(\"on\", ls=\":\")\nlegend()\ntitle(\"TModel(μ,ρ,ν) vs. Normal(μ,σ) [n = $n]\", fontsize=10)\n\ntight_layout()",
"execution_count": 24,
"outputs": [
{
"data": {
"image/png": 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6datVuejoaKe8FKk83HvvvWXed//+/ezfv59u3bpRpUoVzp8/z9tvv80999xjGXJy/PhxevXqRWRkJJMnT7aYsbe3t9OexEk8B+kXRSP9ouxIv7AP0i+Qk7IdQUkm2dnizkl2QggRFxcnevXqJfz9/UXVqlXFs88+KzIzMy3bdTqdmDhxoqhUqZKoXLmymDx5shg5cqTVhByj0Sjmzp0rmjZtKrRarahRo4bo06eP2LFjhxCi8CQ7IYRYuHCh6Ny5c6G6T5w4UYSGhorAwEDx4osvinHjxomKFStaJqv16NHDahJWjx49xLhx48TYsWNFpUqVRJUqVcRrr71mNenunXfeEaGhoVbnSk9PF1qtVrRo0UKkpqYWulZNmjQRK1eutHkd77ymfn5+IjAw0Oq6paSkiIEDB4qQkBDh6+srQkNDxdtvvy0MBoPVNUlMTCzy2LYmPl24cEH4+fmJO39aP/zwgwgPDxdarVY0aNBAzJ4922q7rclh5kl2R44cseTZitWdf2+HDx8WHTp0EH5+fqJx48bi+++/L3T8O/8OT5w4IQICAkRaWpolr0ePHmLQoEHivvvuE76+viIyMlJ88cUXIjAwUMycOVMIYTt2X331lbjnnnuEVqsVTZo0Ed9++63V9tzcXFGpUiURExNT+KKWk6Im2d35e7xzIqS9Mf9uq1atKvz8/ERYWJgYO3as1cS8d955RwCFPndeTyHkpGwlI/1ilGUf6RcmpF/8jfQLE57gF7JBIbFJbm6uaNCggdVqH8WZm5nQ0FCrVTxsrfxwJ6NGjSp2JYg7+fnnn0WzZs2ETqcr8T6Su/PEE0+IDz74wPLdEbETQoj58+cXWsXEXtgyCCUgGxQSd0b6hfqQfuG+yFWeJG6Fv78/y5YtK3Ys5Z2cPHmSihUrWrqBS8qOHTt47733Slw+OzubJUuW4OMjR+zZk9mzZ5f67buljR2YJrzd2c1vT1599VWCgoJIT0932DmcRXR0NEFBQQ57S6xEYg+kX6gP6Rfuh6v9Qv7CJEVS0kl5Zv7xj39w7NixUp8nMTGxVOUHDx5c6nNI7k5oaCgvvPBCqfYpbeyAQm+xtSc7duywvFn09mUjPZUOHTpYJvuV1rwlEmci/UJdSL9wP1ztFxoh7rIWlkQikUgkEolEIpEUgRzyJJFIJBKJRCKRSMqMbFBIJBKJRCKRSCSSMiMbFBKJRCKRSCQSiaTMqH5SttFo5OrVq1SsWLHQ6+4lEolESQghyMzMpE6dOnh5yedJpUX6hUQiUQul9QvVNyiuXr1K/fr1XV0NiUQicRpJSUnUq1fP1dXwOKRfSCQStVFSv1B9g8K8VFhSUhKVKlUq1b56vZ7du3fTtWtXxa5xrQaNoA6datAI6tBZVo0ZGRnUr19fEUskugLpF8WjBo2gDp1So3Jwll+oftnYjIwMgoODSU9PL7VBGI1Gbty4QfXq1RU7fEANGkEdOtWgEdShs6way3O/k0i/uBtq0Ajq0Ck1Kgdn+YVsUEiDlUgkKkHe78qHvH4SiUQtlPZ+p9wmmRPQ6XT89ttvljctKhE1aAR16FSDRlCHTjVoVBpqiJkaNII6dEqNysFZOmUPRTm7sNPS0qhcubJiu8vUoBHUoVMNGkEdOsuqUT5hLx/SL4pHDRpBHTqlRuXgLL9Q7iwUO2MwGGy27gIDAykoKHBBjZyHMzX6+vq65Ift5eVF1apVnX5eZ6IGjaAOnWrQ6MlIv5B+4elIjcrBWTplg+IuCCFISUkhLS3N5ra8vDz8/f0Vuya5szV6eXnRsGFDfH19HX6u29HpdGzevJnIyEi0Wq1Tz+0s1KAR1KFTDRo9EekX0i+UgtSoHJylUw55ukuXTnJyMmlpadSsWZPAwECrm6QQAqPRiJeXl6INwlkazS+N0mq1NGjQwKnX1PwCFyW/sEoNGkEdOsuqUQ55Kh/SL4pH+oVykBqVg7P8QvZQFIPBYLCYQ7Vq1VxdHVVQo0YNrl69il6vd+oTA41Go/j/YKlBI6hDpxo0ehrSL5yP9AvHITUqB2fpdKtZKDt37uTRRx+lTp06aDQaNmzYcNd9duzYQfv27fH396dRo0YsXLjQbvUxj4ENDAy0ud080cVoNNrtnO6GszWau64NBoNTzmdGp9Px448/Knq1BzVoBHXoVIPGL774goYNG+Lv70/79u2Jjo4usmxycjLDhg2jadOmeHl58eKLL9ost3btWsLDw/Hz8yM8PJz169fbrb7SL6RfKAmpUTk4S6dbNSiys7Np3bo18+fPL1H5xMRE+vXrx/3338+RI0d4/fXXmTBhAmvXrrVrvYrqIjK3+pTcVeZsja66lj4+PkRGRir6bZlq0Ajq0Kl0jatXr+bFF1/kjTfe4MiRI9x///307duXS5cu2Syfn59PjRo1eOONN2jdurXNMjExMQwZMoQRI0Zw9OhRRowYweDBg9m3b59d6y79QvqFEpAalYOzdLrtHAqNRsP69esZOHBgkWVeffVVNm7cyIkTJyx5Y8eO5ejRo8TExJToPMWNEcvLyyMxMdHylOxOhBAIIdBoNIo1CWdrvNs1dxRCCPR6PT4+PoqOpdI1gjp0Cn0+euFVao2eMofivvvuo127dixYsMCS16xZMwYOHMjMmTOL3bdnz560adOGOXPmWOUPGTKEjIwMfvnlF0veww8/TJUqVVi5cmWJ6iX9onikXygHqVE5lFWnql5sFxMTQ2RkpFVenz59OHjwYJFdO/n5+WRkZFh94O8uU4PBYJU2t7fMN8rb00IIMjIybJYxGo3Fps2T125Pm49RVLq4ujgybdboTE16vd4Sg9vTRcXJnNbr9VZp87mKSut0OoxGI3q9nqioKMvfjU6ns9TpzrS5jua00Wi0SpvrW1TaWZpu1wGQm5tr0agUTbbipNPpiIqKQq/XK0bTnXEy/PJvri/uQUFaUqk1uTsFBQUcOnSo0L09MjKSPXv2lPm4RflFcceUfiH9QvqFcv3C7BW5ubmK0WQrTuZYFhQUONQvPLpBkZKSQq1atazyatWqhV6v58aNGzb3mTlzJsHBwZZP/fr1AYiPjwfgxIkTlh6PU6dOWS5sTk4O+fn5gGloVkFBARqNBm9vb0uZzMxMq7Q5GBkZGZY/BPPN9vYbrzkNpmDeblqZmZmA6Q/LnNbpdGRlZQEm883OzgZM5peTkwPAyJEj6d+/P2B6ipOXlweYbhJ5eXmEhYUxe/bsQpoAjh8/blmlw9vbm9DQUCIiIlizZk25NL333ns89NBDNGvWjKFDh5KdnW1Tk8Fg4NixY4BpWNuRI0cAOHPmDHFxcYXiFBcXx5kzZwA4cuQIiYmJAOzfv5+kpCQA9uzZQ3JyMmCaq2P++9i6dStpaWn4+Pjg4+NjubFERUWRl5dnMQ69Xk9eXh5RUVGW+G7evBmAtLQ0tm7dCsCNGzfYuXMnYBrXbf7PSlJSEvv373eqJoDNmzdbrvGWLVvo1auXRZ8SNNmKk/k36OPjoxhN5jgJITj8y9d4n1pJSM4+8lJOlErThQsXcHdu3LiBwWCweW9PSUkp83GL8ovijin9QvqF9Avl+gVAr1692LJli2I03R6nnJwcVqxYwbZt2+jXrx9ZWVmO9QvhpgBi/fr1xZZp3Lix+OCDD6zydu3aJQCRnJxsc5+8vDyRnp5u+SQlJQlApKamCiGE0Ov1Qq/XCyGEyMrKEsePHxe5ubnCaDQKo9EohBCWtNFoFHq9vlC+EEIYDIZi00ajsVDafIyi0rbOU1R61KhRYsCAAUWWCQ0NFZ988onNfc+fPy8A8fvvv4srV66I+Ph4MX78eKHVakVcXFyZNeXl5Vmu2b333ivi4+MLnT83N1ccP35cZGZmWuKh0+kKxaaotE6ns0qb61BUuqCgwFLnjIwMq3xzne5Mm+trThsMBqu0ub5FpZ2l6XYdQgiRn58vsrOzLfVVgiZbcTIYDCIjI6OQPk/WZDQaRX5+vtiwdo2YNm2a+O393qLg9xeFXq8vlabU1FQBiPT0dOGuXLlyRQBiz549VvkzZswQTZs2vev+PXr0EBMnTiyUr9VqxXfffWeV9+233wo/P78ijyX9QvqF9Avl+oXBYBDZ2dkiPz9fMZrM6aysLNGrVy8BiPnz54ucnByH+4VH91DUrl270NOla9eu4ePjU+SyfX5+flSqVMnqA+Dt7W359/a0ebzZ7WNCzWkhTGv7ir+6nm4vc/s63LbSGo2mUNp8jKLSxdXlzvTtlHZf87/VqlWjdu3a1K1blxkzZqDT6di+fXuRmrRaLa1ateLQoUOWus+YMYPq1auTmZmJn58fGo2GGTNmMHDgQJo3b17k+c2Th7y9va3SRcXJnPbx8bFKm69fUWmtVouXlxd6vZ6tW7danqhptVpLne5Mm+toTnt5eVmlzfUtKu0sTbfrMNd5y5YtGAwGxWiyFSeDwcDWrVvR6/WK0aTRaPD11lD/5ka8MBBSUfBrRheMRmOpNbk71atXx9vb2+a9/c4ehtJQlF8Ud0zpF9IvpF8o1y8MBgNbtmyx0uzpmszpwMBAOnXqRFBQEOHh4WzevNnhfuHRDYouXbpYuqrMbN68mQ4dOjhuTWohQJcNumy8DLlUrqDFy5BryXPoRzh//ryXlxcVKlRg8eLFAMVe14SEBP7xj38wYcIEAFJTU/noo4949dVXCQ4OJiMjg+HDh1OlShVmz57tlPqXFK1Wy4ABAxT9tkw1aASF6hQCto6nXca3jK/4NS0H/5dHHxusLI1/4evrS/v27Qvd27ds2UJERESZj1uUX5TnmHdF+kWRZaVfuDdSo2ej0WiYOXMmcXFx9OrVyyk63WqtrKysLM6ePWv5npiYSGxsLFWrVqVBgwZMnTqVK1eusGzZMsC0otP8+fOZPHkyzz77LDExMSxevLjEK3aUCX0OfBbkuOMXx4Qs0FZw2ukiIiLw8vIiNzcXo9FIWFgYgwcPLrJ8kyZN+Oyzz2jQoAFnzpxh0aJFBAYG8sILLwAwYsQI9u7dy7lz5/juu+/4+OOP6dq1q7PkFIv56aGS35ipBo2gLJ16vZ5du3bRNeAg2rivAA1V+i9E1GxDZkaGIjTaYvLkyYwYMYIOHTrQpUsXvvrqKy5dusTYsWMBCnkBQGxsLGDykevXrxMbG4uvry/h4eEATJw4ke7duzNr1iwGDBjAjz/+yO+//86uXbscJ0T6RZHlpV+4N1Kj55GamsqCBQuYOnWqpSewYcOGTtPpVg2KgwcPWiYBgclUAEaNGsXSpUtJTk62Woe8YcOGREVFMWnSJD7//HPq1KnDZ599xuOPP+70uiuR1atX06RJE2JjY3nzzTdZuHAhVatWLXafOnXq8MADD/Dhhx+ycuVKPv74YwICAgD48ccfnVHtMqHX64mOjiYyMlKRTytAHRpBWTrXr19PQkICf3qfYEgA0PMTuLc/ep1OMRptMWTIEG7evMn06dNJTk6mRYsWREVFERoaClDICwDatm1rSR86dIjvvvuO0NBQy8TCiIgIVq1axZtvvslbb73FPffcw+rVq7nvvvucpkvJSL9QFlKjZ2EwGIiMjOTQoUNkZGQwa9YsyzZn6XSrBkXPnj0t40ttsXTp0kJ5PXr04PDhww6s1R34BJqe/LgCH9tvYHUU9evXp2nTpjRt2pTatWvz+OOPk5CQQM2aNYvdb8SIEYwcOZJGjRrxzDPPOKm25UOr1fLII4+4uhoORQ0aQVk6O7W8hwsnDtJJux9aPQftJgLK0lgU48aNY9y4cTa32fKC4rzDzKBBgxg0aFB5q1ZypF9Iv/BQpEbPwtvbm8mTJ/Pyyy8zcuRIq23O0unRcyhcgkZj6kbWVkD4BKLX+CF8Ai15Dv24oEtO/LXGd/fu3WnRogXvv//+Xfdp06YNAJMmTfKYVr/RaCQ1NdWytKESUYNGUJDOgixCD49nYuCnNAypBL3mWu4BitGodKRf3HUf6RfuidToeQwbNozTp0/TvHlzq3xn6ZQNinIghCA7O7tET8ZcQXp6OrGxsVaf24cJXLlypdD21NRUq2PcrvGll17iyy+/5MqVK8We98MPPwRwbs9ROTEYDBw4cMAjXvxVVtSgETxbZ15eHuvWrSPj1sd7QxEAACAASURBVE348TFIjsE3IAj+uRp8/n4TsCdrVCvSL2wj/cI9kRrdn4sXL/LUU09Z3kkBUKFC4XlTTtNZosVlFUx6enqR6+zm5uaKhIQEkZub64KalY9Ro0YJoNBn1KhRQgghQkNDbW5fsmSJSExMFIA4cuSI1TGNRqNo2rSp+L//+78iz3vs2DHh5eUlJkyYICpWrChycnJKVW9PvuYSSXlZs8b0nonFH00VxtkIMbeCEFf32u34xd3vJHdH+oX0C4nEHTAajaJt27YCECNHjnTIOUrrFxoh3PRxiZPIyMggODiY9PR0yxrjZvLy8khMTKRhw4b4+/sX2lf81b3r4+OjiBUCbFFajQMGDCAlJYWYmBhCQ0OZNWsWw4YNK/H57nbNHYXRaOTGjRtUr17dstaz0lCDRvBsnWlpaaxZOp/+BfOp7XMdHvsZGvYtVK6sGou730nujvSL4pF+oRykRvfnwIED/Oc//2HdunXUq1evyHLO8gvPu4JuRm5urqur4HBKqnHfvn1s3LiR999/Hy8vL0aMGMFbb73F3r17yc/Pd3Aty4fRaCQ+Pl4xYyltoQaN4Hk6b3+mUznvLM8ap1Pb+0/oPttmYwI8T6PEhPSLv5F+4d5Ije7J7X7RsWNH9u3bV2xjApynU/ZQlOOJk8SaBx98ECEEW7duBeDmzZsMHTqUnTt38uuvv9KzZ8+7HkNec4mayMjIYM2aNfTt25e6VQPgu06Qdg7ufQz6r7X7xFrZQ1E+pF/YD+kXEknpiIuL4+mnn+b7778nLCzM4eeTPRRORAhBQUGB206yswel0fjHH39YzAGgWrVqbN68mby8vBKZgysxGo1cuXLFo55UlBY1aATP0rl161auXLnCzz/9hPjpCVNjolIo9FlcbGPCkzRKTEi/sEb6hXsjNboXQgjGjRvHwYMHmTJlSqn2dZZO2aAoJ+7eNWsP1KDRaDRy7tw5j7ixlBU1aATP0tm3b19atmzJkNDTaJK2gjYIBm4E/yrF7udJGiV/o4Z7qRo0quH3JzW6FxqNhtWrVzN06FC+/vrrUu3rLJ1yyJPswnYr5DWXKB2dTme93v6ZDbDxMVO6/3poPNBh55ZDnsqH9Av3Ql5zidLJyckhMNC5L6k0I4c8OREhBPn5+Yrvwla6RjC14C9evOgRTyrKiho0gnvrvH79OvPmzSM+Pt6UcTMBfh1lSrd/qcSNCXfWKLGNGu6latAI6vj9SY2uZ9u2bTRs2JDo6OhyHcdZOmWDopzodDpXV8HhqEGjJ42lLCtq0AjurTM2NpbMzEz27NmDMetPWP9PKMiAut3g/g9KfBx31igpGjXcS9WgUQ2/P6nR9cybN49r164xd+7cch3HWTrlkCfZhe1WyGsuUTJCCKKjo+nQ6h8E/twP/jwEwY1g2D4IrO7w88shT+VD+oV7Ia+5RMnk5uYya9YsXnvtNZf8fcshT05ECEFeXp6iu3fVoBFMr6Y/e/as419N70LUoBHcT2daWprl96PRaOgecR+BW4aZGhMB1eFfv5S6MeFuGiV3Rw33UjVoBHX8/qRG13Dx4kVLOiAggGnTppW7MeEsnbJBUU7c6Q/RUahBoxCCW7duKdoI1aAR3EvnpUuXWLBgAVu3bjXVx2iAX56CS3+YVnT61y9QtUmpj+tOGiUlRw33UjVoVMPvT2p0PqtXr6Zx48YsXrzYrsd1lk7ZoCgHGo2GChUqoLHzy6fcCTVoBPDx8aFjx474+Pi4uioOQw0awb10Xrt2jYKCAi5fvozRYICt4+H0D+DtCwM2QO0OZTquO2mUlAw13EvVoBHU8fuTGp3PgQMH0Ol0REdH2/U//87SKRsU5UAIQW5urtu0bh2BGjSC6anayZMnFf10TQ0awb10dujQgSeeeIJhw4bhvX8GHF0IaKDvtxD6YJmP604aJSVDDfdSNWgEdfz+pEbnM3v2bFasWMHixYvt2ih3lk7ZoCgn7njjXLZsGdWqVSv0gqHHH3+ckSNHlvp4JdG4fft2fH19rZY3+/jjj6levTrJycmlPqcryM3NdXUVHI4aNIJrdSYlJaHX6y3fw8PD0cZ/BTHvmjIe/ByaPlHu86gllkpC+oUJ6ReegdToeHbs2GE1x27YsGF4e3vb/TxO0SlUTnp6ugBEenp6oW25ubkiISFB5ObmFtqWn58v8vPzhdFotOTp9XqRn58vdDqd3cuWhpycHBEcHCzWrFljybt+/brw9fUVW7duLXK/8PBwUaFChSI/4eHhxZ735ZdfFqGhoSItLU3ExsYKPz8/sW7dulLVvbhrLpG4OydOnBDTp08X33333d+/2xOrhPhII8RHCLHnXZfWr7j7neTulNUvsrKyRFZWltV9PT8/X2RlZYm8vDybZQ0GgyWvoKBAZGVlFTp2UWVLg/QLicQ1zJ07VwBiwoQJVvcGd6G0fiF7KMrIzJkzmTlzJqmpqZbW5e7du5k5cyZRUVFWZT/66CNmzpxJenq6Je/AgQPMnDmTjRs3WpWdO3cuM2fO5Pr165a82NjYUtUtICCAYcOGsWTJEkveihUrqFevHj179ixyv6ioKGJjY60+R44cYe/evRw5cqSQrjuZMWMGVatW5bnnnmP48OGMGDGCxx57rFR1dxUGg4H4+Hi36fp0BGrQCK7V6evri5eX199vwr6wBX4ZAQho8x/o/JZdzqOWWCqFoKAggoKCSEpKsvjF7NmzCQoKYvz48VZla9asSVBQEJcuXbLkff755wQFBfH0009blQ0LCyMoKIgTJ05Y8pYuXVqqukm/KD1q+P1JjY7HvBRrQECAQ8/jLJ3uMRNFYneeffZZOnbsyJUrV6hbty5Llixh9OjRxY7LCw0NLZQn/loG0N/f/65j+nx9ffn2229p1aoVoaGhzJkzp9w6JBJPolGjRowZM4ZatWrhde0QbHwMjDpoOgQe+AwUPllV4plIv5BInM/o0aNp0aIF7du3V8RCBvLFdmV8UVFBQQEAWq3W8odgMBgwGAx4eXlZzaa3R9myjKlr3749gwYNok+fPnTs2JELFy5Qv379Iss3b97cag3kOwkNDeX48ePFnvPrr79m7NixVKxYkbi4uGLPZwv5oiKJp3H8+HFCQ0MJCgr6O/PmSVjVDfJuQmhveOxn08pOLka+2K58lNUvsrOzAQgMDLTc1wsKCtDpdPj4+ODn51eobEBAAF5epkEEOp2OgoICvL29rY5dVFlLD1kpkH4hkTgWIQTffPMNQ4cOJTAw0NXVuSul9QvZQ1FGfH19LStaBAQEoNFo8Pb2tvkff1/fwv+RKG3ZsvDMM8/w6aefcuXKFR566KG73qyjoqLQ6XRWebc/cbJVt9s5d+4ckyZNYtGiRaxZs4aRI0fyxx9/WIzOnTEYDMTFxdGqVSuHTIhyB9SgEZyr8+jRo2zYsIEaNWrw9NNPm/5jmHkZ1kaaGhO1O0L/tXZvTKgllkqhQoUKhfzC19fX5j21QoUKhfK0Wq3NRkJRZcuC9IuSo4bfn9Rof6ZNm8b06dNZvXo1v/zyi9Ouq7N0ygZFOXHnbqrhw4czZcoUFi1axLJly+5avjxd2AaDgREjRhAZGcm///1v+vbtS8uWLfn44495+eWXy6XDWTh6HKM7oAaN4Dyd9evXp2LFijRq1Mj0H6jcm/BDJGQmQZWm8Ngm8K3okHOrJZZKQvqFCekXnoHUaF/69OnDJ598wqOPPur0RpozdMohT2XswvYURo4cyaZNm7h69apVt7q9mT59OgsXLuTYsWNUq1YNgB9//JHBgwezb98+2rRpU6LjKOGaS9RFVlaW6WVehgL4/gG4ugeC6sLQ3VCp8H+6XIkc8lQ+pF/YB+kXErXy559/UqtWLVdXo0SU1i/cv2/RjRFCkJ2d7ZZri5tJTk5m+PDhZTaHkmp8++23uXr1qsUcAAYMGEB+fn6JzcGV6PV6Dhw4YPX+AKWhBo3geJ179uwhJSXF8j0oKMj0NHb7ZFNjwq8yPP6bQxsTaomlkpB+8TfSL9wfqbH8GAwGXn/9dS5fvmzJc0VjwlmxlA2KcuKuYwtTU1NZtWoVW7du5T//+U+5juWuGu2JRqOhSpUqbj0kobyoQSM4VuehQ4fYsmULy5Yts0yIRQjY9wEc/cL0vd8KqN7c7ue+HbXEUmm4671U+kXpUMPvT2osP6+//jozZ84kMjKy0HwjZ+KsWMo5FOVAo9G4bTdru3btuHXrFrNmzaJp06ZlPo47a7Qn3t7e3Hvvva6uhkNRg0ZwrM7mzZtz+PBhmjdv/veE2F2vw/4PTelu70Ojfg459+2oJZZKwp3vpdIvSocafn9SY/n5z3/+w/r163n33XfLvFiCPXBWLGUPRTkQQpCVleWWXdgXLlwgPT2dKVOmlOs47qzRnuj1evbs2aP47l2lawTH6vT392fMmDFERESYMk5893djouencN/rdj+nLdQSSyXhzvdS6RelQw2/P6mx/DRo0ID4+HieeOIJhxy/pDgrlrJBUU5c2ep0FmrQ6OXlRd26dT1iycKyogaNYF+dQgiioqJISEiw5FmGdCTtgM3PmtL3vQHtXyz3+UqKWmKpNNRwL1WDRjX8/qTG0pOXl8eTTz7J3r17LXl3Wz7ZGTgrlnLIUznQaDQOXQnDHVCDRjD94Gwtg6gk1KAR7KszNjaWAwcOcPjwYerVq/f3ShfnfoafBoEhH8Iehoh37XK+kqKWWCoJNdxL1aAR1PH7kxpLz3vvvcfq1avZuXMn586dc5tld50VS+U2Pe2I0Wi0mS+EIDMzU9Hdu87W6Kprqdfr2blzp+K7d5WuEeyrs3Xr1rRq1YoBAwb83Zi4Fgs/DzE1Ju4dCP3XgZdzJ6KqJZaeiPQL6RdKQGosPa+//jr9+vVj5cqVbtOYAOfFUvZQFIOvry9eXl5cvXqVGjVq4OvrazVLXghheZGPUldCcKZGIQTXr19Ho9E4vdvcy8uLe+65R/Hdu0rXCOXXaTQa0Wg0aDQavLy8eOyxx/7emJsKGwaAPgdCI+HR78HL+bdRtcTSk5B+If1CSUiNJcNgMFiGwVaoUIFNmzbZq3p2w1mxlC+2u8uLOwoKCkhOTiYnJ8cFtVMfGo2GevXqERQU5OqqSFSIXq/nhx9+ICQkhB49elhvFMI0zOnMOqh8LwzfD/5VXFPRMiJfbFc+pF+4F9IvJK7k1q1b9OvXj3HjxjFixAhXV8fulNYvZA/FXfD19aVBgwbo9XoMBoPVNr1ez8GDB+nQoQM+Psq8lM7WqNVqXbKOublLsHv37oqOpdI1Qvl0njlzhlOnTnH27FlatWpFlSq3NRhiPzc1Jry08M/VLm1MqCWWnob0C+kXSkFqvDuLFi1i7969nD9/noEDB1KxYkUH1LL8OCuWyvwrsTPmLtU7u1WNRiPh4eEEBgYqtltQDRrB1CXYokULqVEBlEdns2bN6N27N7Vr17ZuTJzZANsmmtL3z4Ra7exU27Khllh6ItIvlK0R1PH7kxrvzpQpU7hx4wYjR45028YEOC+WcsiTHAIgkaiagoICvL29i37SeXkXrO0N+jxo+Qz0/go8dAy8vN+VD3n9JBJ1k5aWRnBwsGLnQd1Oae93ym16OgGdTsdvv/3m0leqOxo1aAR16FSDRiidzvz8fL799lvWrl1re3WeG/Gw4VFTY6LRo/DQArdoTKgllkpCDTFTg0ZQh06psTBJSUl07NiRV155xaNWa3NWLGWDohx4e3vTsWNHl4zhdBZq0Ajq0KkGjVA6nSkpKVy9epXExERSU1OtN96IhzUPQH4ahHSBf65yyYpOtlBLLJWEGmKmBo2gDp1SY2F27NjB2bNn+eGHH7h165aDa2c/nBXLcg150ul0pKSkkJOTQ40aNahatao96+YUZBe2RKJuTp8+TcWKFQkJCfk709yYyL0ONdvBoC0Q4Hn3tztx1P1OCV5QEqRfSCTq5n//+x8PPPAA9evXd3VVHI7DhzxlZWXx5Zdf0rNnT4KDgwkLCyM8PJwaNWoQGhrKs88+y4EDB8pUeU9Dp9OxadMmxXcJKl0jqEOnGjTC3XVmZ2dbLevZpEkT68bEzROwppepMVGrPTzxu9s1JtwhltILSoc7xMzRqEEjqEOn1Gji/Pnz5OXlWb6PGjXK4xoTzoplqXooPv30U95//33CwsLo378/nTp1om7dugQEBJCamkp8fDzR0dGsX7+ezp07M2/ePBo3buzI+peb8jxxMr8VtGLFioqdoKMGjaAOnWrQCMXrzMzMZNmyZfj4+DBy5MjCbzPNvAwrIyAzydSYGLTFLd81UdZY2usJuxK9oCRIvygeNWgEdeiUGiE+Pp4HH3yQDh06sG7dOvz8/FxQy/LjLL8o1YDgPXv2sG3bNlq2bGlze6dOnRgzZgwLFizgm2++YceOHYowkaLQaDSK7/ZWg0ZQh041aITidebn55Obm4u3tze5ubnWDYq8W7D2YVNjokpTePw3t2xMgOtjKb2g9Lg6Zs5ADRpBHTqlRkhNTSUzM5OrV6+SnZ3tsQ0KZ8WyVEOevv/++yIN5Hb8/f0ZN24czzzzTJkr5gnodDp+/PFHxXcJKl0jqEOnGjRC8TqrV6/OyJEjGT16tPU4f102bBgAN49DUB0Y9BsEVHNirUuHq2MpvaD0uDpmzkANGkEdOqVG6N69O1u2bOGPP/7w6HlhzoplmSdl//777zz00EM2t3355Zc8//zz5aqYsyhvF3ZeXh7+/v6K7hJUukZQh041aITCOlNTU9Hr9dSsWdP2DrmpsP6fkBwDfsEwJBpq3P0/y66krLF0xKRipXhBSZB+UTxq0Ajq0KlWjfv376d+/frW8+o8HGf5RZmXjX3kkUd46aWXKCgosORdv36dRx99lKlTp5b1sB6HUl9Jfztq0Ajq0KkGjfC3zps3b7J06VKWLVvGjRs3ChfMvAKru//VmKgM//rF7RsTZtwlltILSo67xMyRqEEjqEOn2jTu2rWLBx54gAcffJDr16+7sFb2x8fb8W+JKPMZdu7cyU8//UTHjh05fvw4mzZtokWLFmRlZXH06NEyV+iLL76gYcOG+Pv70759e6Kjo4stv2LFClq3bk1gYCAhISH8+9//5ubNm2U+f2nQ6/VERUWh1+udcj5XoAaNoA6datAI1joDAwOpUKECFSpUwN/f37pg6inTBGzzMKcno6FOF9dUupS4UyzdxQt27NhB+/bt8ff3p1GjRixcuLBQmTlz5tC0aVMCAgKoX78+kyZNslrBxZG4U8wchRo0gjp0qlFj3bp1qVKlCnXq1CEwMNDFtbMT+nyMW8Zxadkgx8dSlIOsrCzx1FNPCT8/P6HVasWsWbOE0Wgs8/FWrVoltFqtWLRokUhISBATJ04UFSpUEBcvXrRZPjo6Wnh5eYm5c+eK8+fPi+joaNG8eXMxcODAEp8zPT1dACI9Pb3U9TUajaKgoKBcmt0dNWgUQh061aBRiMI6s7OzRXZ2tnWhP2OF+Ly6EB8hxOImQqRfcEFNy05ZY1me+11xuNoLzp8/LwIDA8XEiRNFQkKCWLRokdBqteKHH36wlPn222+Fn5+fWLFihUhMTBS//fabCAkJES+++GKJ6yX9onjUoFEIdehUq8bExESRk5PjwlrZkfSLQnzbSYiPEMaPNMJ4La50u5fyfleuPpBTp05x4MAB6tWrh4+PDydPnrRa3720fPLJJzz99NM888wzNGvWjDlz5lC/fn0WLFhgs/zevXsJCwtjwoQJNGzYkG7duvH8889z8ODBMtehtCi59W5GDRpBHTrVoPHq1aucPHnS8j0wMND6aZMuF34eArk3TEvDPrkLKoW6oKblw51i6WovWLhwIQ0aNGDOnDk0a9aMZ555hjFjxvDRRx9ZysTExNC1a1eGDRtGWFgYkZGRDB06VPqFnVGDRlCHTjVo3LhxI4cOHbJ8DwsLK7ycuCdyYQssbwcp+xF+VSjo9wNUb+HQU5a5QfHhhx/SpUsXevfuTXx8PAcOHODIkSO0atWKmJiYUh+voKCAQ4cOERkZaZUfGRnJnj17bO4TERHB5cuXiYqKQgjBn3/+yQ8//MAjjzxS5Hny8/PJyMiw+gAYDAbLv7bSer3eKm00GtHr9WzevNkydticD6ZZ9benxV9z381pIUShNGCVNhqNVmnzj7uotMFgsEqXRdOd6by8PDZv3oxer1eMJltxMsfSXDclaLozTrm5uRaNStF0p45r166xfPly1q9fz/nz521ripkGt04hKoTA45sx+ldza0224mSOZUFBQanjZG/cwQtiYmIKle/Tpw8HDx60XJ9u3bpx6NAh9u/fD5heWBUVFSX9ohgd0i+kXyjZL3777TeGDBlCZGQkZ8+eVYQmIQQi9RRiQ3/Iu4mo2Y68Qbv49bS3w/2izA2KuXPnsmHDBubNm4e/vz/Nmzdn//79/Otf/6Jnz56lPt6NGzcwGAzUqlXLKr9WrVqkpKTY3CciIoIVK1YwZMgQfH19qV27NpUrV2bevHlFnmfmzJkEBwdbPuY3HsbHxwNw4sQJTpw4AUBcXBxnzpwB4MiRIyQmJgKmVQCSkpLQarVUqVLFMtlz586dlvTWrVtJS0sDYPPmzWRmZgIQFRVFXl6e1di9vLw8oqKiANOLtzZv3gxAWloaW7dutVyfnTt3ApCcnGwx1qSkJItBJiYmcuTIEQDOnDlDXFxcqTWBaY355ORkwGTUXbp0QavVKkaTrThptVp8fHws46mVoOnOOG3ZsoXIyEg0Go1iNN0Zp+DgYEJDQwkMDKRevXqFNMX9OAsOzAbgWK1xEFDV7TXZitO2bdsYMGAA2dnZpYrThQsXsDfu4AUpKSk2y+v1esv1fvLJJ3nvvffo1q0bWq2We+65h169evHaa68VWRfpF9IvpF8o1y86depE+/btadmyJWFhYYrQpNcVYPz1aTSGPGjwIJmP/MLWQ4nO8YsSDYyywfXr14vctn379lIf78qVKwIQe/bsscqfMWOGaNq0qc19jh8/LkJCQsR///tfcfToUfHrr7+Kli1bijFjxhR5nry8PJGenm75JCUlCUCkpqYKIYTQ6/VCr9cXSut0Oqu0wWAQRqNRpKamFsoXQoiCggKrtHmMnjl9+9g9c1oIYZU2GAxWaZ1OV2xar9dbpW3puJsmWzpu3bplqZcSNNmKk9FoFDdv3iykz5M13Rmn/Px8kZaWZqmvEjTZilNBQYFISUkppM9w/bgwfhZsGk/623MepenOOOXn54v09HSh1+tLFafU1FS7z6FwBy9o3Lix+OCDD6zydu3aJQCRnJwshBBi27ZtolatWmLRokUiLi5OrFu3TtSvX19Mnz69yLpIv5B+If1CuX5hMBhEUlKSZc6EEjQZj3xu8ri5FYRIS3SqX5RrUrY9yc/PF97e3mLdunVW+RMmTBDdu3e3uc9TTz0lBg0aZJUXHR0tAHH16tUSnbc8k+wKCgrEzz//bAmQElGDRiHUoVOpGs+cOSN27dpl+W5T5/VjQnxRyzQJ+7uuQujzXVBT+1HWWDpqUrY9KYsX3H///WLChAlWeevWrRM+Pj6Wa9StWzcxZcoUqzLLly8XAQEBFqO+G9IvikcNGoVQh06lavzqq6/EqlWrhBAK1Jh+UYi5QSafOzzPku0sv3D8wrQlxNfXl/bt27Nlyxar/C1bthAREWFzn5ycHLy8rCV4e3sDWMaXORKtVssjjzyCVqt1+LlchRo0gjp0KlFjamoqq1at4vfff7dMxC6kM+MSfP8Q5PwJNdrAgA3g7evCWpcfJcbSTFm8oEuXLoXKb968mQ4dOliuUVF+If4af+xolBwzM2rQCOrQqUSNW7du5bnnnmP48OHExsYqS2PmZdg0FHRZUKcrtBln2eQsnW7ToACYPHkyX3/9Nd988w0nTpxg0qRJXLp0ibFjxwIwdepURo4caSn/6KOPsm7dOhYsWMD58+fZvXs3EyZMoFOnTtSpU8fh9TUajaSmplomyigRNWgEdehUosaqVavSrVs3wsPDady4MXCHTl02bBjwV2OiFQzeCoHVXVzr8qPEWN5Oab1g7NixXLx4kcmTJ3PixAm++eYbFi9ezJQpUyxlHn30URYsWMCqVatITExky5YtvPXWW/Tv39/yIMqRKD1moA6NoA6dStTYs2dPRowYwaRJk2jdurUyNAoBx/8H/2sBV/eAtgJEfg2av/977zSdper/cAKff/65CA0NFb6+vqJdu3Zix44dlm2jRo0SPXr0sCr/2WefifDwcBEQECBCQkLE8OHDxeXLl0t8vvJ2Yf/666/K6S6zgRo0CqEOnUrSaB4/ak7fPmTFojM/T4gf/2Xq/v2ipse9a6I4yhpLTxjyZKa0XrB9+3bRtm1b4evrK8LCwsSCBQustut0OjFt2jRxzz33CH9/f1G/fn0xbtw4cevWrRLXSfpF8ahBoxDq0Kkkjbf7hXkOjBAK0JiXJsSGx0we9xFCrLhPiBsnChVzll9ohHBCX68bk5GRQXBwMOnp6VSqVMnV1ZFIJHchNjaWxETTqhV3DmGxYvfbsPc90/CmJ7ZBXdvDZdSEvN+VD3n9JBLPQQjBu+++i8Fg4L333nN1dezLtaPw0+OQds7kcRHTocNL4OVjt1OU9n5XpiFPZ86cIT093SovPj6e3Nxcjh8/Tl5eHnFxcZb1bpWK0Wjk2rVrnt1ddhfUoBHUoVMJGjMyMvj555+Ji4vj2LFjNssYjUbS939lakwAPPSl4hoT7hJL6QUlx11i5kjUoBHUoVMJGmNiYnj33XeZMWOGzXfYeKzGk6tgZWdTY6JSKDy5Gzq9WmRjwlk6y9SgeOutt/jvf/9r+X7hwgXatm1LTk4O999/P3FxcbRt29ayxq5SMRqNxMfHe94fYylQg0ZQh04laKxUqRL/+te/uO+++2jVqpXNMuLsjwTtesH0pcMUeQy79AAAIABJREFUaDHaeRV0Eu4SS+kFJcddYuZI1KAR1KFTCRojIiKYPXs2n3zyic0FHTxSY9zXsGkY6POgYV946jDU7lDsLs7SWaYhT0uXLmXu3LmWl3h88cUXLF++nJiYGKpUqcKvv/5Kly5dOHnyJE2aNLF7pe2J7MKWSNwfvV6Pj08JunIPz4NtEwEB9/SH/uvAy/ETbj0Fe9/vlOQFJUH6hUTi3hj/etOzr69nr+Rnk8PzYNsEU7r1/8GD860mX9sbpwx56tu3L3FxcZa3lv7yyy/069cPAI1GU5ZDeiRGo5ErV654Vuu2lKhBI6hDp6dqjI6OZsmSJZa30hbJ0S//utkKsu4difGRNYptTLhLLKUXlBx3iZkjUYNGUIdOT9RoNBp5/vnnGTx4cImGWXqMRqMBdr35d2Oi/WR48PMSNyacpbNMDYpatWrRtm1boqKiyM/PZ9u2bfTt29fedXN7jEYj586dc/8/xnKgBo2gDp2eqDE7O5uYmBiuXr3KiRMnbBcSAvbPgt9NS4oa27/M4cpjMGqU2ZgA94ml9IKS4y4xcyRq0Ajq0OmJGuPj41m+fDk//fQTu3fvvmt5j9CYcx3W9YV975u+d34TenwEpXhg4yydZZ4O3rdvXzZt2kT9+vUJDAykQ4fix3ApER8fH7p37+7qajgUNWgEdej0RI0VKlRg5MiRlrH5hTDq4Y/xEPel6XuHKXh1n0V3hT8dd6dYSi8oGe4UM0ehBo2gDp2eqLFVq1asX7+ejIwMevbsedfybq/x8k7YNByyLoNPIER+Bc2Gl/owztJZ5sFXffv25Y8//mDjxo306dPHnnXyGIxGIxcvXnTv1m05UYNGUIdOT9EohCArK8vyvXbt2nTu3LlwQYMOfvzXX40JDfT6DHrMxiiER+gsD+4US+kFJcOdYuYo1KAR1KHTUzQWFBRw8+ZNy/e+ffsyZMiQEu3rthp1ObDtRVjd09SYqNIUhu8vU2MCnKezzA2Kzp074+3tzeLFiy1jZm9HDeNnPWb8XTlQg0ZQh05P0CiE4JdffuGrr74iNTW1+MI7XoLzP4FPAAxYD+1MKzt5gs7y4k4apReUDHeKmaNQg0ZQh05P0JiXl8fjjz/OAw88YNWoKCluqfHCFljeFg7PBQS0fBaeOgDVm5f5kG49hwLAy8uL3r17o9PpePjhhy355kWj1PC+PB8fHyIiIkq2+oyHogaNoA6dnqCxoKCAixcvkpmZyeXLl4sueHgeHJlnSj+yEu4dYNnkCTrLiztplF5QMtwpZo5CDRpBHTo9QWNKSgoHDx7k9OnTJCQklHp/t9J46yxsGABrI+HWaQiqC4//ahrm5FuxXId2ls5yrTf14osv8umnn1KlShVL3muvvUa9evV45513qF69erkr6M4YDAbOnj2LwWBwdVUchho0gjp0eoJGPz8/RowYwRNPPFHkeyaI+/rv1S66vW/VmADP0Fle3E2j2r2gJLhbzByBGjSCOnR6gsawsDC2bt3KL7/8wv3331/q/d1G4+m18L/mcG6j6eV07V6EUfEQZp8hpM7SWa4GRefOnRk/frxV3quvvkrdunV55513qFq1arkq5+4IIbh165ain8CpQSOoQ6e7ajQYDCQnJ1u+BwUFER4eXrigELD7HdjyrOl7+5eg01QbxdxTpz1xN41q94KS4G4xcwRq0Ajq0OmuGjMyMqxW/GvWrFmJJmDbwi00nlgBPw8BQwE0eAhGxkGvT8G/st1O4SydZXqxnZKQLyqSSFyHwWBg7dq1nDlzhqFDh9KoUSPbBYWAHS/DoY9N3zu+CvfPLNXSeRJ5vysv8vpJJK4jLS2Nvn37cvbsWbZv307z5mWfV+AWHFsMm58FBDQfDZFfu9W7k5zyYjuJCYPBwMmTJ13fXeZA1KAR1KHTXTUaDAaEEOj1etsFhDCtwW1uTDy0ELp/WGRjwl112hM1aFQaaoiZGjSCOnS6q0adTofRaLz7i05LgEs1HpkPm58BhOmt130WO6wx4SydbjATxbPJzc11dRUcjho0gjp0uptGb29vnnjiCVJSUqhXr17hAkLAjilw6BPT9x4fQ+vn73pcd9PpCNSgUWmoIWZq0Ajq0OluGitXrszmzZu5evUqLVq0sMsxXaLxwGzY+Yop3X5yqV9UVxacoVMOeZJd2BKJUykoKODMmTN3766+c5hTj4+hw2THV1DByPtd+ZDXTyJxLikpKcTGxlqtIOfRxEyHPe+Y0p3fhIjpbjt0Vw55ciIGg4H4+Hi36xK0J2rQCOrQ6Q4a9Xo9K1as4IcffuDgwYNFFxQC9r73d2Mi8usSNybcQaejUYNGpaGGmKlBI6hDpztovH79Oj169KB///78+uuvdj++0zXGL/27MdHtfej6nlMaE87SWa4GRXR0NE899RRdunThypUrACxfvpxdu3bZpXISiURZeHt706BBA/z8/Khdu7btQuZhTuYbb4+PoOXTzqukpNRIL5BIJPamatWqtGvXjpCQEBo3buzq6pSPlAPw+1hTuvPbcN/rrq2PAyjzkKe1a9cyYsQIhg8fzvLly0lISKBRo0Z88cUX/Pzzz0RFRdm7rg5BdmFLJM5FCGH53dnYCNsn/fWWUKDnp9D+RedWUME44n6nFC8oCdIvJBLnotPpuHHjBiEhIa6uStnJ/hO+bQ9ZV+CeATBgHWjcf4CQ04Y8zZgxg4ULF7Jo0SK0Wq0lPyIigsOHD5f1sB6FwWDgyJEjiu/2VLpGUIdOV2nMzs5mx44dljWwNRpN0Y2JHS//3ZjovahMjQkZS+civaBkuFPMHIUaNII6dLpK4+nTp5k7d67lu1ardVhjwikaM5LgxwGmxkSVptB3mdMbE86KZZlXeTp16hTdu3cvlF+pUiXS0tLKVSlPIiAgwNVVcDhq0Ajq0OlsjUajkeXLl/Pnn3+i0+l46KGHii686/W/50z0/hJaPVPm88pYOg/pBSXHXWLmSNSgEdSh09kaU1NT6dGjBykpKVSoUIFnnim7B5QUh2kUAuKXmHrcCzLAtxIM2AB+runZdEYsy9xMCgkJ4ezZs4Xyd+3aVfTLqRSGt7c3//jHP/D2dp8XkdgbNWgEdeh0hUYvLy+6du1KpUqVaNOmTdEFD8+F/R+a0g9+Dq2eK/M5ZSydi/SCkuFOMXMUatAI6tDpCo1Vq1Zl/PjxtGrViv79+zv8fA7TWJAFG/8Fm582NSZCOsPw/VDtH/Y9TwlxVizL3KB4/vnnmThxIvv27UOj0XD16lVWrFjBlClTGDdunD3r6Lbo9XoOHDhQ9Au5FIAaNII6dLpKY8uWLRk/fjzVq1e3XeDMOtg2yZTuNhPalO/+IWPpXKQXlAx3ipmjUINGUIdOV2l844032Lt3LzVr1nT4uRyiMSsZVveAsxvA2xfu/xCe3AVVm9rvHKXEWbEs85CnV155hfT0dHr16kVeXh7du3fHz8+PKVOmMH78eHvW0W3RaDRUqVIFjZuuIWwP1KAR1KHTWRpv3brF1q1b+ec//4mfnx+A1dh6K67GQNRwTG8LHQudXi33+WUsnYv0gpLhTjFzFGrQCOrQ6SyN+/bt4+uvv2bBggX4+Jj+S+qsoVZ213gjHtY9ApmXIKA6DNwIdbrY59jlwFmxLPeL7XJyckhISMBoNBIeHk5QUJC96uYU5KodEon9EEKwcOFCrl27Rps2bRgwYEDRhc/9ZGpMFGRCo0f+n70zDY+iShvo6U5CQggQloCICGETnAxgiIgLoIAgYEABRQVBUWcYFRAHlZlRx3H9xgVwQURBHUQWWUUJkEiAsApoEMOimLDEAIGQhQDppKv7fj/KtAaSpreqrq6q8zx5qC6qqu/h7dTL2/fWvfL4UqvP33GYeICS97tQzwWeYOYLE5PAUVpaSnx8PKdPn+aVV17hn/8M4alUj3wDK4fJQ5watIehKRDbJtit8gvVF7aLjo4mKSmJbt266TKBuEOSJLZu3ar7bk+9O4IxPNVwtFgsDB48mCuuuILevXvXfOCBRbBiiFxMXNELBi0MWDFhxjI4GDkXeIIWYxZojOAIxvBUw7Fu3brMmTOH/v37M3HiRMXepyYC5pj1CSwbIBcTzXvAvVs1VUyo9Xn1OYO/+OKLbv/++eef9/XSIYPVaqV58+ZYrdqfT9hXjOAIxvBU0lEI4epObd68OWPHjq25ezX/e1j7ICAg4SHoOxPCahgS5QNmLNXFzAWeoaWYKYURHMEYnmrliyFDhjB48OCgDB/z21EI2P7S74uwdrgX+n8C4ZGBa2QAUOvz6vOQp2uuuabKa7vdzqFDhwgPD6dNmzYhM/+42YVtYuIfx48fZ+XKlYwYMYLY2Fj3B+dukGe/sBVB/AC44yuw6nemFK2hxP1OL7nAE8x8YWLiH6tWreKVV14hJSXl0vlCywgBm6bAztfl19f9E258KSQWrPMU1YY8ZWZmVvnJysri+PHj9OnTh0mTJvl62ZBCkiQyMjJ03+2pd0cwhqcSjkIIUlJSOHHiBN988437g7O/giX95GKi2XUwaIEixYQZS3Uxc4FnaClmSmEERzCGpxKONpuNcePGsW3bNt58882AXddXfHYUTkif8Hsxcct0uOkVzRYTan1eA2pfr149XnzxRZ577rlAXlazWK1W2rRpo/tuT707gjE8lXC0WCzcfffddOrUieTk5JoPPJwGXw0Hpx3aDYW71kNkNatlBwAzlsHHaLnAE7Qes0BgBEcwhqcSjlFRUaxatYq//vWv/Pvf/w7YdX3FJ0dHBax5EHa/J7/u+wEkqv/8hzeo9Xn1e5anC9m8eTPJyckUFRUF8rKKYXZhm5h4T0VFBbVq1fLs4JLDMC9R7ploNwxuD9wD2Cbeoeb9LtRygSeY+cLExHvOnj2rj4kabMXykN3c9WAJg/5z4E9jgt0qxfD2fudzVn/nnXeqvBZCcPz4cT777DNuu+02Xy8bUlR2I/Xs2dM1f7LeMIIjGMMzUI7Z2dksW7aMu+++m5YtW7o/uKIUvrrrD8Oc5iteTJixVBczF3iGlmKmFEZwBGN4Bsrx448/5rnnnmP9+vW0b98+gC30H68czxyVZ3I6vQ8iYiB5McSHxv1Nrc+rz1eeNm1alddWq5W4uDjGjBnDP/7xD78bFgpYrVYSEhJ03+2pd0cwhmegHHft2sX58+fZuXOn+4KirFC+AefvgqiGcPsX8sqhCmPGUl3MXOAZWoqZUhjBEYzhGQhHu93Ou+++y7Fjx/jss8946aWXAthC//HY8exxWNwbirMhpjncuQqadFankQFArc9rwIc8hRpmF7aJiXfY7Xa2bdvGjTfeSFhYDQ9Vnz0OS/vJK4dGNYRha+Cya9VtqMlFmPc7/zD//UxMvOPUqVN8+umnTJ48OTRXFi8rhC96ybmsXisYkQH1WgS7Vaqg6JCnJ5980uNjp06d6s2lQxK73U56ejq9e/cmIiJw8+hrCSM4gjE8/XEsKiqiQYMGAERERNCzZ8+aD668ARcdhDrNYHgaNP6TP033CjOWymPmAu8JdszUwAiOYAxPfxxzcnJo3bo1AHFxcTz11FNKNNFvLul4/hQsv10uJuo0g7vWhWQxodbn1auCIjMz06PjQrIK9YGwsDCuvfbamr+l1QFGcARjePrquGfPHlasWMHtt99OYmKi+4OdEqy6Ry4m6l4Jd6+H2NZ+tNp7zFgqj5kLvCfYMVMDIziCMTx9dXzppZd45ZVXWLlyJf369VOodYGhRkeHHXbPgG0vQHkJRDWSvxhTOZcFCrU+r14VFOvXr1eqHSGJ1WqlYcOGwW6GohjBEYzh6avjiRMnEELw66+/ui8onA5IfQSOpEF4NNyxMig3YDOWymPmAu8JdszUwAiOYAxPXxwdDge7d++mvLyc3bt3a76gqNaxIAu+uhsK98uv47rAbZ+q2sseaNT6vOr3iSIVsNvtrFq1CrvdHuymKIYRHMEYnr463nrrrQwfPtz9OhOSDVbfD3s/lafTG/hZ0B5aM2NpokWMEDMjOIIxPH1xDAsLY8GCBSxdupSnn35awdYFhoscj3wDC26Ui4nacXDrRzBqV0g9gF0dan1e/X4oe9++fRw9epSKiooq+wcPHuxXw9TCn4fshBCUlpZSt25d3XbtG8ERjOHpjWNOTg7x8fGe/VucL4Dlg+DEDrmYGLQArrorQK32HjOWNaPkQ8Whngs8wcwX7jGCIxjD01NHIQTp6en06dNHxdYFhiqOez+FtL/Iw3ab94Ahy6F2o2A3MSColS98njY2JyeHO++8kx9//BGLxUJlXVLZWIfD4eulQwaLxaL7mT6M4AjG8PTUcevWraSlpXHttdcyYMAA9zcgyQZfDpGLicqpYVsGN7GYsVQXMxd4hpZiphRGcARjeHriKITg0Ucf5YMPPmD69OlMnKjtFaMvxGKxUC9CknvX938u7+xwL/T/BMIjg9u4AKLW59XnIU8TJ04kPj6e/Px8oqOj2bt3LxkZGSQlJbFhw4YANlG72O12vvzyS913e+rdEYzh6aljdHQ0ALVr13Z/QUcFpIyEY1shMhbu2RT0YgLMWKqNmQs8Q0sxUwojOIIxPD1xtFgsxMXFYbFYqF+/voqtCwDCiXRgMbZZbeViwmKF6/8NA+fpqpgA9T6vPg95aty4Menp6XTq1In69euzY8cOrrrqKtLT0/n73//u8SwgwcbfLmybzUZUVJSuuz317gjG8PTG8fjx4zRr1qzmAyQbfDUcclbJi9UNXQ1X9g5wi33DjGXNKDHkSS+5wBPMfOEeIziCMTw9dRRCsHv3bq655hoVW+cHpXnw42zY+wmcOQKAaHAVlgH/g2bXBblxyqBWvvC5h8LhcBATEwPICeXYsWMAtGzZkp9++snXy4YcSi5jrhWM4AjG8KzOUQjBrl27qox9d1tM2M/Jc3PnrILwKHk2J40UE5UYNZbBwMwFnqOVmCmJERzBGJ7VOdrtdmbMmOEaymixWEKnmPh1E3zaUZ4O9swRRGR9HF2fglHf67aYqESNz6vPBUVCQgJ79uwB4LrrruP1119ny5YtvPjii64FTfSOJEmkpKQgSVKwm6IYRnAEY3jW5Jiens6qVatYtGgRl+ywLCuExbfC0XUQEQND10Cr/gq22nuMHMtgYOYCz9BSzJTCCI5gDM/qHIUQjBw5kscff5zHHnssiK3zgSPrYOltUFEKTRJh4Dykh47ydcmNSBZ9Lk5YiVqfV5+HPK1du5Zz584xdOhQcnJyuP322zlw4ACNGjVi0aJF9O6trW8sa8LfLmxJkggPD9d1t6feHcEYnjU55ubmMm/ePPr160fXrl1rvkBpHiztD6f3ys9MDF0Nl3dXoeXeYeRYXgolhjzpJRd4gpkv3GMERzCGZ02Oixcv5sEHH2TJkiXcdtttQWyhF+SsgpXDwFEufwE2eBlERBsijqBevvB72tg/UlhYSIMGDUIqMOaYWPcYwRGM4enO8dy5c9SpU6fmkwt/hiW3QulRiLkchq2FxgkKt9g3jB5Ldyg5bewfCcVc4AlmvnCPERzBGJ7uHE+dOkVcXFyQWuYFwgnfvgZbn5e32wyB2xe5Hro2QhwhBJ6hePDBB1m3bl2VIRINGzb0Oyjvv/8+8fHxREVF0bVrVzZt2uT2+PLycv71r3/RsmVLIiMjadOmDR9//LFfbfAUSZJITU3Vfben3h3BGJ6VjhUVFaSmplJSUuL6O7fFxIldsPBGuZho0A7u2aLZYgKMFUstOGolF2zcuJGuXbsSFRVF69at+eCDDy46pri4mMcee4xmzZoRFRVFx44dSUlJ8audnqKlmCmFERzBGJ6VjkVFRUyYMIEzZ864/i4kiglbEawYDFuelYuJhIcgeXGVGZyMEEdQ0VP4SHJysoiMjBSXX365ePLJJ8X333/v66VcLFy4UERERIiPPvpI7Nu3T0ycOFHUqVNHHDlypMZzBg8eLK677jqRlpYmDh06JL799luxZcsWj9+zpKREAKKkpMTv9puYhAJr1qwRL7zwgpgxY4ZwOBzuD87bKsQ7dYV4EyHmJgpxLl+dRpooghL3Oy3kgpycHBEdHS0mTpwo9u3bJz766CMREREhlixZ4jqmvLxcJCUliYEDB4rNmzeLw4cPi02bNondu3d73C4zX5gYjeTkZAGIgQMHBrspnuF0CLFnjhDvN5Xz1vQo+bWJ13h7v/O5oBBCiKKiIjFr1izRq1cvYbVaRceOHcUrr7wiDh065NP1unXrJsaNG1dlX4cOHcSUKVOqPX716tWifv364vTp0z69nxD+JQin0ylKSkqE0+n0+f21jhEchTCGZ6VjUVGRePfdd8X+/fvdn/Drlt+LiYW9hLCFxn+ijBRLbx2V+g9xsHPB008/LTp06FBl31//+lfRvXt31+uZM2eK1q1bi4qKCp/aJISZLy6FERyFMIZnpeOuXbtEfHy82LFjR7Cb5J6yIiEOLBLis65yznoTIea0F+JEzV9wGCGOQqiXL3we8gQQGxvLX/7yFzZs2MCRI0d48MEH+eyzz2jbtq3X16qoqOC7776jX79+Vfb369ePrVu3VnvOypUrSUpK4vXXX6d58+a0b9+eyZMnU1ZWVuP7lJeXc+bMmSo/8Ptqrg6Ho9ptSZKqbDudTiRJIiMjwzXdZuV+kKdW++O2+G04QOW2EOKibaDKttPprLJd2V1V07bD4aiy7YvThds2m42MjAwkSdKNU3VxqoxlZdv04HRhnMrKysjIyCA6OpqHH36Yq666qmanXzcjfpsRQ7S4BWnwlxBZT3NO1cXJbre7PrOhGCdPPntlZWVs2rSJiooKr52UINi5YNu2bRcd379/f3bt2uX691m5ciXXX389jz32GE2bNiUhIYFXX33V7b+JmS/MfGH0fPHnP/+ZrKwskpKStOn0y1ewqBfi/cbw9QjI/w5Rqx7Onm/AmB+xN0yo8bNXmSsq/8+oGacQzRd+FRSV2O12du3axbfffsvhw4dp2rSp19coKCjA4XBcdG7Tpk05ceJEtefk5OSwefNmsrKyWL58OdOnT2fJkiVupzN77bXXqF+/vuunRYsWAGRlZQGwf/9+9u/fD8CePXs4ePAgAJmZmRw6dAiAHTt2kJubS0REBPXq1aOgoACAjIwM13Z6ejrFxcUApKamUlpaCkBKSgo2mw1J+n0aL5vN5hrHW1paSmpqKiCP901PT3f9+2RkZADyomOViTU3N5cdO3YAcOjQIdciUgcPHnRN5eiNE8DWrVs5fvw4ICfqbt26ERERoRun6uIUERGBxWLBZrPpxqkyToWFhSxatIgVK1bQp08fLBYLa9eurd5p7Vr4YRaWJX2x2Evhyt6cuuljMrZ9pyknd5+9ypt2RERESMXJm9+n9evXM2jQIM6dO+eV0+HDh1GSYOWCEydOVHu8JEmuf++cnByWLFmCw+EgJSWFZ599lrfeeotXXnmlxraY+cLMF0bLF9nZ2QwYMIC5c+e68kVaWpr2nGzFFMxLxvrlYPg1A4twINW/Cq59hg2tZ1HcZiyE1XL72bNYLPTp04e0tDRtOHkRJ03mC4/6MWogPT1dPPzww6JBgwaiXr164oEHHhBpaWmXHpddDXl5eQIQW7durbL/5ZdfFldddVW159x6660iKipKFBcXu/YtXbpUWCwWcf78+WrPsdlsoqSkxPWTm5srAFFYWCiEEEKSJCFJ0kXbdru9yrbD4RAOh0OcPHlS2O32KvuFEKKioqLKdmVXU+W20+m8aFsIUWXb4XBU2a58n5q2JUmqsl2dx6WcLtwuLy8XBQUFrrbowam6ODkcDpGfn+86Vw9OldupqanihRdeEG+99ZY4ceKEkCSpRidpx1uu7mLH0tuFqDinSSd3nz1JkkR+fr5wOBwhFSdvfp9sNps4ffq0sNvtXjkVFhYqMuQp2LmgXbt24tVXX62yb/PmzQIQx48fdx3TokULV4yEEOKtt94Sl112WY1tMfOFmS+Mli+GDh0qANG9e3dx6tQpt/lCdSenQ9jzvhWOrS8K8UFzId5EON+0CLH+SWE/fdDr3ydJkkRBQYGw2WwhFyct5gufl8674oorOH36NP3792fWrFkkJycTFRXl6+Vo3LgxYWFhF30DdfLkyRq/5WrWrBnNmzenfv36rn0dO3ZECMGvv/5Ku3btLjonMjKSyMjIi/aHhYVV+fPC7T+uMli5bbfb+f77713zrP/xmIiICJ+2LRaLa9tqtWK1Wj3erqnt3jhduG2xWNi1axe9e/fWjVN1cbLb7WRmZtK7d2/CwsJ04VS53atXLwoKCujevTu7d++uMZaWXzcStulpeef1L2C9/nmwWLD+1n4tObnbdjqdrlhGRESETJw83bZYLFitVnbu3Fkllt46BQot5ILLLrus2uPDw8Np1KgRIOeLiIiIKv8GHTt25MSJE1RUVFCrVq2LrmvmCzNfGC1fzJgxgzNnzvDOO+/w3Xff1Zwv1HSyCPhhJuz8P8LPHnPtJ7Ytltv+B81v4I//mfX081bZo1r5OxlKcfJ0W9V84VHZUQ2zZs1yfUsTKLp16yb+9re/VdnXsWPHGh/EmzVrlqhdu7YoLS117VuxYoWwWq019lBciDlrh4ke8fqb4ZIjQsyIk3snVo0SQucPqRkVJe53WsgFTz/9tOjYsWOVfePGjavyUPY//vEP0bJlyyq/G9OnTxfNmjXzuF1mvjDRI5XfSGuSw2lCfHL17w9av11HiOVDhPhhlhAV54LdOl2j6ixPlWzevNnVZeQPlVMFzpkzR+zbt0888cQTok6dOuLw4cNCCCGmTJki7r//ftfxpaWl4oorrhDDhw8Xe/fuFRs3bhTt2rUTDz/8sMfv6U+CqOz29KVbP1QwgqMQ+vI8d+6cmDVr1kXTYdboaCsR4rOk36aGvSbkb9J6imVN+Oqo9H+Ig5ULKqeNnTRpktgiXcTOAAAgAElEQVS3b5+YM2fORdPGHj16VMTExIjHH39c/PTTT+Lrr78WTZo0ES+//LLH7TLzhXuM4CiEvjwPHjwo2rdvL9avX19lvyYct7/yeyHxXiMhMt8Xwu7//aUSTTiqgFr5IiAPZQ8YMIC8vDy/rzNixAimT5/Oiy++SJcuXcjIyCAlJYWWLVsC8oMjR48edR0fExNDWloaxcXFJCUlMXLkSJKTk3nnnXf8bosnOJ1OsrKyXE/e6xEjOIK+PL///nuOHz/ON99845pRBmpwLDkMC66H/F0Q1QgGL4OIaPUbHUD0FMua0KpjsHJBfHw8KSkpbNiwgS5duvDSSy/xzjvvMGzYMNcxLVq0IDU1lZ07d9KpUycmTJjAxIkTmTJlit/t9QStxiyQGMER9OX5f//3f/z888889dRTVXyC6igEbH4WNv9Lft35UXjoIHT5W5WF6fxFT3F0h1qeFiH+sLypj9StW5cffviB1q1bB6JNquLt0uImJlpHCMG6devo3Lmz+xVNy0vg825Q9DPUaQZ3rITLktRrqInqKH2/C+Vc4AlmvjDRGzabjaeeeopnn33Wp1nZAo4QsHEyfDdVft3zDbh2cnDbZFC8vd8FpIfCqDidTvLy8nRd3RrBEULfs6yszDUvtcVioW/fvhcVE1UchRNSRsnFRN0WMHKHboqJUI+lJxjBUW8YIWZGcITQ9zx9+rRrOyoqinffffeiYiIojlI5rL7/92Ki97uKFhOhHkdPUcszIAXFrFmztFHZqozT6SQ7O1vXH0YjOEJoexYXF/Phhx+SlpaGuw7HKo5bX4CcryE8CoYsh7pXqNdghQnlWHqKVh2Nmgs8QasxCyRGcITQ9ty5cyft2rXjgw8+cHuc6o5lhbC0H+z/HKzh0P8TuOZxRd8ylOPoDWp5BmTI0x+/GQ01zC5sk1Bnz549LF++nAYNGvDII49Qu3Zt9yfsmyd/CwQwYC5cfb/yjTTRBErf70I5F3iCmS9MQp0XXniB//znP9x4441s2LChytSkQeH8Kdj3GWS+C2cOQ616kLwEWt0a3HaZqDvkac6cOSQkJBAVFUVUVBQJCQnMnj3bn0uGFE6nkyNHjui6ujWCI4S2Z6dOnbjjjjt48MEH3RYTToeDojVP/15MJE7UZTERyrH0FK05Gj0XeILWYqYERnCE0Pb897//zYwZM1i9erXbYkJxR6kc1j4Esy6HjX+Xi4m6LeCezaoVE6EcR29Qy9PnguK5555j4sSJJCcns3jxYhYvXkxycjKTJk3i2WefDWQbNYsRxt8ZwRFCz/P06dPY7XbX686dO1O3bt2aT7AVwco7abD3Dfl11yfh5qkKtzI4hFosfUFLjmYu8AwtxUwpjOAIoef5xxl+LBYLjz76qPt8gcKOTglSRkLWx/L2ZddC35kwJgvi/hz496upGSEWR19Ry9PnIU+NGzfm3Xff5d57762yf8GCBYwfP56CgoKANFBpzC5sk1DjxIkTzJ07l+bNmzNixIhLd1nnfwcrh8vfAIXVkh906/QXVdpqoi2UuN/pJRd4gpkvTEKNNWvWcOedd/LAAw/w/vvvB384onDC2rGw939yPhqyAuIHBLdNJtWi2pAnh8NBUtLFs8J07doVSZJ8vWxI4XA4+OWXX3A4HMFuimIYwRFCy7O8vBy73c758+fd/64JAbtnwoIb4MxhRL14cm/6AsefHlKvsUEglGLpK1pyNHOBZ2gpZkphBEcILc/CwkLKy8s5duxYlV7tS6GIoxCw/gm5mLCEwaBFQS0mQimO/qCWp88FxahRo5g5c+ZF+z/88ENGjhzpV6NCBSEERUVFbmfWCXWM4Aih5dmyZUtGjx7N/fffT1RUVPUHCQGb/wnrHgVHBbS9A8d9OzghLg8JR38IpVj6ipYczVzgGVqKmVIYwRFCy/O+++4jLS2NJUuWUKtWLY/PU8Txu6nyw9cAt30K7e4I3LV9IJTi6A9qefo85Gn8+PHMnTuXFi1a0L17dwC2b99Obm4uo0ePJiIiwnXs1KnaHattdmGbhAK5ubnExsZectwrIBcTm6bAztfl1ze9Bt2egWB3dZsEHSXud3rJBZ5g5guTUGDNmjXcdNNNxMTEBLspv/PzUvhquLzd6y1IejK47TG5JKoNecrKyiIxMZG4uDiys7PJzs4mLi6OxMREsrKyyMzMJDMzk927d/v6FprH4XBw4MABXXeXGcERtO15+PBh5s6dy9y5czl37pz7gy8sJnq/C9dNAYtF046BxAieWnI0c4FnaClmSmEER9C257x58xg4cCDJycmUlZX5fJ2AOQonHF4Lq0fJr7s8Bl0n+XfNAKHlOAYStTx9noB4/fr1gWxHyOLPL2yoYARH0K5n/fr1iY6OJjY21n2XtRCQ8Qzs+m0mp97vwTWPVTlEq46BxgieWnE0c4HnaCVmSmIER9CuZ/v27YmJiaF9+/ZERkb6dS2/HE/sgt3vwaHVcP6kvK/17XDLdE31lms1joFGDU+vhjwdPXqUK6+80uOL5+Xl0bx5c58aphZmF7ZJKFBcXExMTEzNMzoJARlPw6435dfVFBMmJoG63+kxF3iCmS9MQoFffvmFNm3aBGdGJyHk5yQ2/l2eEhagVl1oN1TOS7U0NAzLxC2KDnm69tpreeSRR9ixY0eNx5SUlPDRRx+RkJDAsmXLvLl8yOFwOMjKytJ1d5kRHEF7nvv37+fYsWOu17Gxse6nh8145vdios+MaosJrTkqhRE8g+1o5gLvCXbM1MAIjqA9z1mzZnHkyBHX67Zt2/pdTPjkWFEKX98D6yfKxUS7oXBXOjxaID+ErbFiQmtxVAq1PL0a8rR//35effVVbrvtNiIiIkhKSuLyyy8nKiqKoqIi9u3bx969e0lKSuKNN95gwABzbmETE2/Jzs5m8eLFREZG8sgjj9CwYUP3J2R9+vswpz7vQ5e/Kd5GE2Nj5gITE20wa9Ysxo0bR3x8PJmZmdSvXz84DSk7DUv7y+seWcPlB6+vGa+p4U0myuLTLE82m42UlBQ2bdrE4cOHKSsro3HjxlxzzTX079+fhIQEJdqqCGYXtonWKC8vZ968eTRu3Jjk5GSsVjcdiaf2wPzuIJXBjS9Bd3NlYpOaCfT9Tk+5wBPMfGGiNfLy8ujZsydjxozh+eefD04jzp+ExX2h4Eeo3RiGfAnNbwhOW0wChrf3O5+njdUL/iQIh8PBnj176NSpE2FhYQq1MLgYwRG051lRUUFERIT7busTO2HpALCdhpb9YNhqsNRcfGjNUSmM4Omro/kfYv8w84V7jOAI2vM8c+ZMwH+fPXYszYMlfaHwANRpBnd9A42uDmhblEJrcVQKtfKFz9PGmsjUrl072E1QHCM4QnA9d+zYQVZWlut1rVq13BcTxTmwpJ9cTFx2LQya77aYqMSMpX4wgqPeMELMjOAIwfMUQvCPf/yDzZs3u/Yp9eXAJR0re8gLD0DdFjAiI2SKiUrMz2vg8LmH4oEHHmDs2LH07Nkz0G1SFfMbO5Ngk52dzbx587BYLPz1r3+ladOm7k+QymHBDXDye2h2HQxPk2fRMDG5BErc7/SSCzzBzBcmwWbmzJk8+uij1KtXj+zsbBo3bhychhxeC1/dJT+I3bADDFsD9VoGpy0miqBaD0VpaSn9+vWjXbt2vPrqq+Tl5fl6qZBFkiR27tyJJEnBbopiGMERguvZunVrOnfuzI033kiTJk3cH2w/D1/eIRcTUY3g9sUeFxNmLPWDlhzNXOAZWoqZUhjBEYLr+cADD9C3b1+mTp2qaDFxkaNULk8AkjYOPu8GywbJxUSLm+HerSFZTJif18Dic0GxdOlS8vLyePzxx1m8eDGtWrViwIABLFmyBLvdHsg2ahaLxUKDBg2CM9ezShjBEdT3FEJQ2TlosVgYMmQIvXv3dv/+kg2WDYTDayC8NiR/AfVaePyeZiz1g5YczVzgGVqKmVIYwRGCky8qqV27NmvXruWhhx5S9D2rOOZ/D58nwdoHYc8s+fk94YCrR8PQNRDVQNG2KIX5eQ3w+wTqoezMzEw+/vhjZs+eTUxMDKNGjeLRRx+lXbt2gbi8Yphd2CZqI4Rg3bp1WCyWSxcRlTgdsOoe+HkJ1KoHQ1ebs2iYeI0a97tQzQWeYOYLE7Wx2+2MGTOGvn37MnbsWHXf/HwBZL4NO/5PXleidhwkjIWmidC0K8S2Ubc9JqoSlIeyjx8/TmpqKqmpqYSFhTFw4ED27t3L1VdfzbRp0wLxFppEkiS2bt2q6+4yIziCup65ubls2bKFzZs3ezY8RLL9XkyE1YI7fJuSz4ylftCqo1FzgSdoNWaBxAiOoK7n559/zoIFC3j00UfVG07462acK+/C+cHlsP1luZhoPxwe2As9/w+uulsXxYT5eQ0sXi1s90fsdjsrV67kk08+ITU1lU6dOjFp0iRGjhxJ3brymO6FCxfyt7/9jUmTJgWswVrCarXSvHlz9+sEhDhGcAR1Pa+88kr69etHWFgYV1xxhfuDnRKsHAaHUuRiYtACecyqD5ix1A9acjRzgWdoKWZKYQRHUNdzzJgx7N69m759+9K8eXPF349j2+GLXliFEwDRJBFLtylw1V3Kv7fKmJ/XwOLzkKfGjRvjdDq59957eeSRR+jSpctFxxQVFZGYmMihQ4f8bqhSmF3YJmoghMDpdHo317UQsO5R+OED+ZmJO76Cln2Ua6SJ7lHifqeXXOAJZr4wUYPy8vJLTx2uFIv7wtF10PJW6Pk6NLn499nEGKg25GnixIn8+uuvzJgxo0oCEUJw9OhRABo0aBDyCcQdkiSRkZGh6+4yIziCsp5Op5Mvv/ySxYsX43A4PDtJCNgwSS4msMg9E34WE2Ys9YOWHM1c4BlaiplSGMERlPU8d+4cAwcOZNKkSai+7vDR9XIxYY1A6v0+GQfO6DqW5uc1sPhcULzwwgucPXv2ov2FhYXEx8f71ahQwWq10qZNG113lxnBEZT1PHnyJFlZWfz888/8+uuvnp20cTJ8/7a83fd9aDvE73aYsdQPWnI0c4FnaClmSmEER1DWMz09nfT0dD7++GN1i3AhYPO/5O1Of8Ea21r3sTQ/r4HF52coaqqcz549S1RUlM8NCiUqx6XpGSM4grKel112Gffccw92u52WLT2Yq3vfPPhuqrzd/xNIeCAg7TBjqR+05GjmAs/QUsyUwgiOoKxncnIys2fPJiEhgdatWyvyHtVyKAWOb5OH1173L0PE0giOoJ6n1wXFk08+Ccjz2j7//PNER0e7/s7hcPDtt99WO4ZWj1R2I/Xs2ZPwcJ9rM01jBEcIvKckSVRUVLh+P9q2bevZidlfQerD8nb35wJWTFS2yYylPtCCo5kLvEMLMVMaIzhC4D0LCwuJiopy/Q4pvcbERZSfgc3/lLe7PA4xzQwRSyM4gnqeXl85MzMTkL+V+vHHH6lVq5br72rVqkXnzp2ZPHly4FqoYaxWKwkJCbruLjOCIwTW0263s2jRIkpLSxkzZkyV/2i55eel8PUIecGgdkPhhhf8bssfMWOpH7TgaOYC79BCzJTGCI4QWM+TJ09y66230rRpU1auXKl+r96pH+GrYVB0ECLrQ7dnAGPE0giOoJ6n1wXF+vXrAXjwwQd5++23DT3ThdVqpUmTJsFuhqIYwREC63nu3Dny8/MpLy/n9OnTnhUUJ3bB6lG/rT56P/T/GCyB/eU3Y6kftOBo5gLv0ELMlMYIjhBYz8OHD5OdnU1+fj55eXm0aaPS+g5CwN7/yTMJSmVQtwUkL4HajQBjxNIIjqCep8//Y/nkk08Mn0Dsdjtr167FbrcHuymKYQRHCKxnbGwso0ePZtSoUbRo0eLSJ5zeDyuS5QXs4gfKz01YA98tacZSP2jJ0cwFnqGlmCmFERwhsJ7dunUjJSWFjRs3qldMnMuHL++EtQ/KxUSr/jDqe2jWzXWIEWJpBEdQz9OrdSiefPJJXnrpJerUqeMaP1sTU6dO9btxauDPvOJOp5Pi4mJiY2N122VmBEfw39Nms3HmzBnvvwUo2Atf3AJlpyCuE4zYBJHK/OfMjKV+8NUxUOso6DEXeIKZL9xjBEfw3/PIkSOeLWyqBD8vhbS/gu00WCPkobXXPgPWqmskGSGWRnAE9fKFV1+DZmZmuiqcyvGz1RGUxViCgNVqpWHDhsFuhqIYwRH88ywrK+Ozzz6jpKSEMWPGeF5UnDkKS/vLxUSTRBieqlgxAWYs9USwHc1c4D3BjpkaGMER/PPMycnhlltuISoqig0bNtCsWbMAt64GHBWw8SnIfEd+HdcZbvsfNOlc7eFGiKURHEE9T68KisoxsxduGxW73U5qair9+vUjIiIi2M1RBCM4gn+eFovF9R8njzv8zh6HJf3gbB407AjD06C2sr/wZiz1Q7AdzVzgPcGOmRoYwRH88wwL+70nwOOFTv2l9Ff46m55WliQeyRufBHCatV4ihFiaQRHUM/TqyFPesSfLmwhBKWlpdStW1e338QZwRH89ywrK+PcuXM0btz40gefy4cvbobCA1D3SrhnM9Tz4FkLPzFjqR98dQzUkCejYuYL9xjBEfz3zMnJITo6mssuu0yB1l3A+VMwvzuU5MizON02F9oOvuRpRoilERxBvXzhVQ/FpcbK/hE9jZutCYvFovukbARH8N7zzJkz5Ofn065dOwBq165N7dq1L33i+ZOwuPdvxUQLuHu9KsUEmLHUE8F2NHOB9wQ7ZmpgBEfw3nPPnj2UlZVx3XXXAai3YJ29DFYMlouJ+vEw/BuI9ey9jRBLIziCep5eP0PhCXqu9P6I3W4nJSWFgQMH6ra7zAiO4J3n2bNn+fTTTykpKeHee+/1fNG68wWwuC+c3gcxzeGudI9v7oHAjKV+CLajmQu8J9gxUwMjOIJ3nnv37uWWW27B4XCQkZFBp06d1GmkcMKa0XB8O0Q1gKGrvco3RoilERxBPU9zyJOfXdg2m42oqCjdJk4jOIJ3nk6nk+XLl5OXl8fo0aOJjY299BucPwVLboVTP0CdZjBiIzRoF6DWe4YZS/3gq6M55Mk/zHzhHiM4gneeZ8+eZcCAAdjtdtasWeNZvvAXyQbfPAp7P5GfkxieBlf09OoSRoilERxBvXyh37XGVULPy7VXYgRH8NzTarVy5513cv78eWJiYi59wtljcjFxeh/UuUwe5qRyMVGJGUv9YARHvWGEmBnBETz3jImJYdWqVQDqFPElh+Gr4ZD/HWCRF0n1spioxAixNIIjqOPp9TMURpx7vCYkSdJ9d5kRHOHSnqdOneKXX37h+uuvB+SiwqNi4swRWNwHirMh5gq46xtoeFWgm+8RZiz1Q7AdzVzgPcGOmRoYwREu7blhwwaOHTvGfffdB6hUSEjlsG8ubHoGbEUQ1QgGfS4vWufL5QwQSyM4gnqeXg15uuWWW1i+fDmxsbHccsstNV/UYiE9PT0gDVQaf7uwJUkiPDxct91lRnAE957nz59nxowZnD9/nuTkZBITEz27aOHPsKQvlOZC/dZw1zqo3yrwjfcQM5b6wVfHQA150mMu8AQzX7jHCI7g3nPv3r0kJSVRUVFBWloavXv3VrYxjgr44QPY+bo8DTnAZd0geTHUu9LnyxohlkZwBPXyRUDWoaisSfQckJqoDJKeMYIj1OwZHR1N9+7d2b9/Px06dPDsYqd+lIc5nc+Hhh3k2TXqNg9wi73H6LHUE8F0NHOBb5ifS/1Qk2fHjh257777yM/P54YbblC2EbYi+PJO+HWj/Drmckh6Cjr/DcIj/b68EWJpBEdQx9OvtcbnzJlDQkICUVFRREVFkZCQwOzZswPVNs0jSRKpqalIkhTspiiGERzh0p49evRg7NixREdHX/piR9fDwpvkYiKus/wAtkaKCTOW+kBrjkbPBZ6gtZgpgREcwb2n1Wrlww8/ZNmyZURFRSnXiJJDsOAGuZioVRf6fgAP5UDXJwJWTOg9lkZwBPU8fZ7l6bnnnmPatGmMHz/eNa5827ZtvPfee0ycOJGXX345oA1VCnPWE5PqOHr0KJmZmSQnJ2O1elF3H1gIa8bI3dDNe8AdX8pT9pmYaAAl7nd6yQWeYOYLk+pYtGgRP/zwA6+88oo6vXOHU2H1/fK6RnVbwJ2rIO7Pyr+viaHw+n4nfKRRo0Zi/vz5F+2fP3++aNSoka+XFTNmzBCtWrUSkZGRIjExUWRkZHh03ubNm0VYWJjo3LmzV+9XUlIiAFFSUuJ1W51OpygpKRFOp9Prc0MFIzgKUdXTZrOJ//73v+KFF14QmzZt8vwiO98S4k3kn5XDhbCXKddgHzBiLPWKr47+3O9qQiu5YMOGDSIxMVFERkaK+Ph4MXPmzBqPXbBggQDEkCFDvGqTmS/cYwRHIap6Hjx4UISFhQlALFmyRNk3Lj8jROpffs8zc68RojRPkbcyQiyN4CiEevnC5yFPDoeDpKSki/Z37drV526VRYsW8cQTT/Cvf/2LzMxMevTowYABAzh69Kjb80pKShg9ejR9+vTx6X19RZIkNm3apOvuMiM4QlXPyMhIhgwZQrt27Vwrm7pFCNj4FGz8u/z6mgkwaCGEK9jd7QNGjKVe0ZKjFnLBoUOHGDhwID169CAzM5N//vOfTJgwgaVLl1507JEjR5g8eTI9evTwqW2+oqWYKYURHKGqZ9u2bZk6dSoPP/wwd9xxh3JvWrAX/tcJ9nwov75mPNyzSX5uQgGMEEsjOIJ6nj4PeRo/fjwREREXTQk4efJkysrKmDFjhtfXvO6660hMTGTmzJmufR07duSOO+7gtddeq/G8e+65h3bt2hEWFsaKFSvYvXu3x+9pdmGbVCKEqNJdfeHrGk6CTVPkGTYAer4OSZPBfCjVRIMocb/TQi545plnWLlyJfv373ftGzduHD/88APbtm1z7XM4HPTq1YsHH3yQTZs2UVxczIoVKzxul5kvTCpxOp1VhsN6lC985eRueZKPsgKo10peW+LKmmdXMzEJBIrO8vTH+cYtFguzZ88mNTWV7t27A7B9+3Zyc3MZPXq0l82GiooKvvvuO6ZMmVJlf79+/di6dWuN533yySdkZ2czb9481cfqOp1OiouLiY2N9W6cfQhhBEeAffv2kZGRwf3330+dOnUAD2aqsZfBN+Pkub8B+s6EzuMUbqnvGCWWRvAMtqPWcsG2bdvo169flX39+/dnzpw52O1219zrL774InFxcTz00ENs2rTJ67b5Q7BjpgZGcASYPn06a9asYcWKFa4HrxUrJo7vgKX9obwYmibBsLVQu6Ey7/UHjBBLIziCep5eXTkzM9P18+OPP9K1a1fi4uLIzs4mOzubuLg4EhMT2bt3r9cNKSgowOFw0LRp0yr7mzZtyokTJ6o95+DBg0yZMoXPP//c4+mwysvLOXPmTJUfkL+5qvyzum1JkqpsO51OHA4HO3bswG63V9kPYLfbq2xXdgRVbgshLtoGqmw7nc4q25XdVTVtOxyOKtu+OF24XV5ezo4dO3A4HLpxujBO5eXlrFmzhvz8fNe3mZd0On8K56KbYd9chCUMx83vQudxmnGqLk42m40dO3YgSVJIxsnTz54kSa7PrF6cLoyTzWZj586d2O12r50CgdZywYkTJ6o9XpIkCgoKANiyZQtz5szho48+8rgtZr4w88WFcTp69Cj//Oc/Wbt2LQsXLlTW6eAyxOI+cjFx+Q04hq7FUat+wJ2Mmi8qc4XNZtONUzDzhVcFxfr16z368Wchowur/Jq6ER0OB/fddx//+c9/aN++vcfXf+2116hfv77rp0WLFgBkZWUBsH//fle3+Z49ezh48CAgJ9BDhw4BsGPHDnJzc4mIiCA6OtqVsDIyMlzb6enpFBcXA5CamkppaSkAKSkp2Gw2JEleuVCSJGw2GykpKQCUlpaSmpoKQHFxsevfsqCggIyMDACOHz/u+qYuNzeXHTt2API44szMTEAutvbs2eO1E8DWrVs5fvw4IH/zl5iYSEREhG6cLozTuXPnGDlyJE2aNHGNBXfrdOYozvk3Ys3fAVENKe23hG8K2mnKqbo4paWl0atXLywWS0jGydPPnsPhoLy8nIiICN04XRin9evX079/f86dO+eV0+HDhwkEWsoF7o6v3F9aWsqoUaP46KOPaNy4scdtMPOFmS8ujFNMTAxffvklI0eO5M4771TG6UgO+V+MhpXDsNjPUhJ7LQxby8GjJ818EcB7q8VioVevXqSlpenGKaj5wqNHt1WgvLxchIWFiWXLllXZP2HCBNGzZ8+Lji8qKhKACAsLc/1YLBbXvnXr1lX7PjabTZSUlLh+cnNzBSAKCwuFEEJIkiQkSbpo2263V9l2OBzC4XCIY8eOCbvdXmW/EEJUVFRU2a58ur5y2+l0XrQthKiy7XA4qmxXvk9N25IkVdmuzuNSThdul5eXixMnTrjaogenym2bzeZycjgcIi8vz3VujU7HM4X4oLkQbyKcH7QQomCfppwq215dnGw2mzhx4oSQJCmk4uTOqbo4SZIk8vLyhMPh0I3ThXGy2WwiPz9f2O12r5wKCwsDPstToPE2FwghRI8ePcSECROq7Fu2bJkIDw8XFRUVIjMzs9p8YbFYRFhYmPjll1+qva6ZL8x8UXlMSUmJ9/nCF6fyM8K5sJdrJifH+ieF3XY+4E5mvqgQkiSJEydOCJvNphunYOYLv5fN27dvH0ePHqWioqLK/sGDB3t1nVq1atG1a1fS0tJcVT/IVfKQIUMuOr5evXr8+OOPVfa9//77pKens2TJEuLj46t9n8jISCIjL170JSwsrMqfF27/cUhV5bYkSezfv5+4uLiLjqkcs+vttsVicW1brVbXeDdPtmtquzdOF25brVb27t1Lz549deMUHh7Orl272LhxI2PGjKFx48ZIksSBAwdo0qRJzU55Ww+dFWsAACAASURBVIlYcbu8Ommjq7EMXQP1WmD9rc3BdrqovRdsh4WFuY2lFuN0KafqtoUQrliGh4frwumP2xaLhbCwMLKysqrE0lunQBOsXABw/fXX89VXX1XZl5qaSlJSEhEREXTo0OGifPHss89SWlrK22+/7ep5uBAzX5j5IiwsjKeffpqUlBQ2bNhAXFycZ/nCFydHOawYjKVysbrbPsXabqhrKImZLwJ7b5UkyeWoF6cLt1XNFx6VHdWQnZ0tOnXqJCwWi7Bara5ve6xWq7BarT5dc+HChSIiIkLMmTNH7Nu3TzzxxBOiTp064vDhw0IIIaZMmSLuv//+Gs//97//reo6FCahiSRJ4oMPPhAvvPCC2LBhg2cn5W0VYnq0/K3R59cLcf60so00MVEAJe53WsgFOTk5Ijo6WkyaNEns27dPzJkzR0RERLhdF2DMmDGqrkNhEpqcPHlSNG/eXADi888/V+6NpHIhlg2Sc8w7dYU4vlO59zIx8QDV1qGYOHEi8fHx5OfnEx0dzd69e8nIyCApKYkNGzb4dM0RI0Ywffp0XnzxRbp06UJGRgYpKSm0bNkSkMd5XWpNCjVxOp3k5eW5HpTRI3p0DAsLY9SoUfTv39/1zYRbz4K9sHwQSOehZT+46xtVZtkINHqMZXUYwVNLjlrIBfHx8a5vkLt06cJLL73EO++8w7BhwwKhGBC0FDOl0KNjXFwc6enpfPrpp9x3332AAp5OB6weDTmrILy2vPL1ZRev7aImeozlhRjBEVT09LVyadSokfjhhx+EEELUq1dPHDhwQAghxLp160SXLl18vazq+PONk91uFxs3bnSNN9MjenIsKCio8e9q9Cw57HpmQnzeXYiKswq3Ujn0FEt3GMHTV0elVsrWQy7wBDNfuEcvjpIk1fhcjRAB9nQ6hVjzkJxjpkYIkbPa/2sGAL3E0h1GcBRCvXzh10rZMTExADRu3Jhjx44B0LJlS3766Sf/K50QIDw8nJ49e3o8ZW0oogdHIQTp6enMnDmT7Ozsao+p1vPoeljUC87mQaOr5W+NIuqo1OrAo4dYeoIRPLXkaOYCz9BSzJRCD46SJDF69Gi6devmmqnnQgLmKQRseBKy5oDFCoMWQPxt/l0zQOghlpfCCI6gnqfPBUVCQoLrl+26667j9ddfZ8uWLbz44ou0bt06YA3UMk6nkyNHjui6u0wPjkII19z2p06dqvaYKp7CCVueg8W94cwRqN9atcWElEQPsfQEI3hqydHMBZ6hpZgphR4cbTYbOTk5nDlzpsYvoPz2lMrhyDpYOxa+ny7v6/8xtNfWEL1Qj+WlMIIjqOfpc0Hx7LPPuhr38ssvc+TIEXr06EFKSgrvvPNOwBqoZYww/k4PjlarlWHDhnHPPfe4VvK9EJenvRy+HgHbf1t1vdNf4P5MqHuFii1WBj3E0hOM4KklRzMXeIaWYqYUenCMiYlh9erVrFmzpsosY3/EZ8/Cn2HtQ/B+Y1jSF/Z+Ku/v/S78aYx/DQ8weojlpTCCI6jnaRHit9V/AkBhYSENGjRQbgl6BThz5gz169enpKSEevXqBbs5JgFCCEFOTg5t2rTx/CSnBKvHwIH5EFYLbv0I/jRauUaamKiMWve7UMwFnmDmC31is9nYvn07N998szJvUHQQtjwPP38h94ADRDeF+AHQ4R5o1V+Z9zUx8QNv73c+91D8EfHbUt8NGzbUXQJxh8Ph4JdffvF6efJQIhQdhRCsXLmSefPmsX37do/OcZzN5/xnveRiwhoOg5fprpgIxVj6ghE8tepo1FzgCVqNWSAJRceysjKSk5Pp27cvK1as8Ogcjz2FE76bBnM7wU8L5detb4cRm2DcMbjtE80WE6EYS28xgiOo5+lXQTFnzhwSEhKIiooiKiqKhIQEZs+eHai2aR4hBEVFRQSwk0dzhKKjxWKhfv36WCwW6tTx4CHqkkNYF95EdMFWREQdSF4CrQcp31CVCcVY+oIRPLXmaPRc4Alai5kShKJjrVq1aNasGVFRUTRo0MCjczzyLPwJFt0sP3Qt2aDlrXD/brjzK7jiJvkhbA0TirH0FiM4gnqePg95eu6555g2bRrjx4/n+uuvB2Dbtm289957TJw4kZdffjmgDVUKswtbnwghOHnyJE2bNnV/4KkfYWl/OHcc6rWCO7+Gxn9SpY0mJmqjxP1OL7nAE8x8oU8kSeLnn3/m6quv9v9itmLY/hJkviMPo42IgZvfgj8/AmavnUkI4fX9zqtJaf9Ao0aNxPz58y/aP3/+fNGoUSNfL6s6/swrLkmS2L9/v5AkSYGWaYNQcbTb7WLbtm3C4XB4ftKx7UK8GyvEmwjnJwniYOZGzXv6Q6jE0l+M4Omro1LrUOghF3iCmS/cEyqOhYWFYtasWT6fX6PnoVQhZsTJa0q8ibzydfEh/xobJEIllv5gBEch1MsXPk9K63A4SEq6eCXHrl27IkmSr5cNOcrKyoLdBMXRuqMQgiVLlvDTTz9RUFDA7bfffumTCn+GZQOhvBguvwHn4C8p/TlX+cYGGa3HMlAYwVMrjmYu8BytxExJtO5YXl5Onz59yMzM5OzZszz55JM+Xeciz19Wwtd3gaMCGnaAm6dpZk0JX9F6LAOBERxBHU+fhzyNHz+eiIgIpk6dWmX/5MmTKSsrY8aMGQFpoNKYXdj6YN++fXz55ZeMGDHi0nPfH06D1IegNBcu6wZ3p4f0gnUmJp6ixP1OL7nAE8x8oQ/eeOMN3nrrLb755hsSEhL8v+BPiyHlPnmIU7thMOi3mQJNTEIYb+93XvVQ/LGSt1gszJ49m9TUVNfc/tu3byc3N5fRo/U1O05NOBwO9u/fT8eOHQkLCwt2cxQhVByvvvpqWrVqRXR0dM0HOSXYOBm+f1t+HdtWfkAuok7IePqDERzBGJ7BdjRzgfcEO2ZqECqOTz31FGPHjqVRo0Y+ne/ybN+WsO/egG0vyDM4dRwJt30qzxQY4oRKLP3BCI6gnqdXn/rMzMwqr7t27QrgWk0yLi6OuLg49u7dG6DmmZhUj81mY926dfTt25fIyEgA98WE/Tx8NRwOrZZfXzMebnwZIs1vGU1MvMXMBSahRG5uLm+99RZvvPEGERERAD4XE5VElh7EuugBOPmdvOPPD0PfD8Cq3/+Ympi4I6AL24UiZhd2aDJ//nwOHjxI+/btuffee90fXF4Cy2+HvM0QHg0DP4N2Q9VpqImJhjDvd/5h/vuFHpIk8ec//5kDBw4wadKki4bm+cThVFiRLD8vEdUAer8HHe41Z3Ey0RWqLmxXXFzMW2+9xcMPP8wjjzzCtGnTKCkp8eeSIYXD4SAzM1PXi6Jo1fGWW26hYcOGl17Z9Fy+PBd43maIrA93fVNtMaFVz0BiBEcwhqfWHI2eCzxBazFTAi06hoeH8+abb3L11VczadIk/y94ag/iq+HgqEC07AdjsqDjfborJrQYy0BjBEdQz9PngmLXrl20adOGadOmUVhYSEFBAVOnTqVNmzZ8//33gWyjpqldu3awm6A4WnRs1qwZjz32GM2aNav5oJJDsPAmOLUbopvA3Rvg8utrPFyLnoHGCI5gDE+tOJq5wHO0EjMl0aLjoEGD+OGHH2jRooV/Fzp7DJYNwlJRyrmG3XAOXgExlwemkRpEi7EMNEZwBHU8fR7y1KNHD9q2bctHH31EeLj8KIYkSTz88MPk5OSQkZER0IYqhdmFHRqUlpayYsUKBg0aRMOGDS99wun9sLiPvGBd/XgYlgoN2irfUBMTDaPE/U4vucATzHwRGmRlZfH3v/+d+fPn+/2shIvSX2F5svwFVcMOcO9WebiTiYlOUW3I065du3jmmWdcCQTkrsWnn36aXbt2+XrZkEKSJHbu3Knruda14piSkkJOTg4rVqy49PLxpw/AF7fIxUTjBLhnyyWLCa14KokRHMEYnlpyNHOBZ2gpZkqhBUen08l9991HamoqkydP9v+CQkDWp/C/BFdvtzR4JTt//MWMZYhjBEdQz9PngqJevXocPXr0ov25ubnUrVvXr0aFChaLhQYNGmDR2djJP6IVx0GDBtG2bVvuvPNO92059SN80QvO50NcZ3mYU4ybYVG/oRVPJTGCIxjDU0uOZi7wDC3FTCm04Gi1Wlm4cCGDBg3y/wFsqRxWDoW1D8qTezS7DkZswhLbOuieSqOFWCqNERxBPU+fhzxNmDCB5cuX8+abb3LDDTdgsVjYvHkzTz31FMOGDWP69OmBbqsimF3Y2sXhcHg3Z/KJXbC0P9gKIa4LDE+D6MbKNdDEJMRQ4n6nl1zgCWa+0C52u901JWzASP0L/PiRvEjd9f+BayfrYo0JExNPUG3I05tvvsnQoUMZPXo0rVq1omXLljzwwAMMHz6c//73v75eNqSQJImtW7fqurssWI4FBQXMmDGDQ4cOeXbC0fXyMxO2QvlbpLvTvSomzFjqByN4asnRzAWeoaWYKUWwHDMyMujQoQP79u0L3EX3fCgXE1hgyAq4boqrmDBjqQ+M4AjqefpcUNSqVYu3336boqIidu/eTWZmJoWFhUybNs210JjesVqtNG/eHKvVr9l3NU2wHLds2UJRURHr1q1z/8yEcMLmZ+ViouIMXNFL7pnw8mE5M5b6wQieWnI0c4FnaClmShEMRyEEzz33HDk5Obz66quBuWjeVlj3uLx90ysQP6DKX5ux1AdGcAT1PH0a8mS32+nXrx+zZs2iffv2SrRLNcwubG0iSRLffPMNPXv2rHkFbHsZrB4FB5fJrxMegt7vQISbFbNNTAxMoO93esoFnmDmC21SWFjISy+9xKuvvur/9JjF2fJ04+dOQPvhcPsXultjwsTEE1QZ8hQREUFWVpbuH2S5FJIkkZGRoevuMjUdz50759oODw/ntttuc1NMnJdXKj24TB7fOnAe9J/tczFhxlI/GMFTK45mLvAcrcRMSdR0PHXqlGu7YcOGTJs2zf9iovTX36YbPwFxnaD/J9UWE2Ys9YERHEE9T5/7P0aPHs2cOXMC2ZaQw2q10qZNG113l6nlmJuby7vvvsvOnTsvffC5fFg2EI6ug4gYeY2JjiP9en8zlvrBCJ5acjRzgWdoKWZKoZbjkiVLaNWqFatWrQrcRc+fhCW3wpkj0KAdDFsLtWKqPdSMpT4wgiOo5+nzdAUVFRXMnj2btLQ0kpKSqFOnTpW/93u6thCgclyanlHLMTs7m/Lycvbt20fXrl1r/uDnZ8KyAfK0sBF1YOhquOImv9/fjKV+MIKnlhzNXOAZWoqZUqjluGLFCs6fP8/SpUsZNGiQ/xc8fwqW9IPCA1C3BQz/BupcVuPhZiz1gREcQT1Pn8uVrKwsEhMTqVevHj///DOZmZmun927dweyjZpFkiTS09N13V2mlmOvXr0YNGgQ9957b83FxJkjsHygXEw0ToCROwJSTIAZSz1hBE8tOZq5wDO0FDOlUMvxk08+YcaMGXz00Uf+X+zscVjUC079ANFN5WKi3pVuTzFjqQ+M4Ajqefq8DoVe8OchO6fTSUFBAY0bN9Ztl5mSjidOnKBp06aejb8uOij3TBRnQ+M/wz2bITJwD0WasdQPRvD01dF8qNg/zHzhHiUdMzMzueaaawJ6Tc7kwuLeUPwLxFwBd62DhpeeXMCMpT4wgiOoly8C8i8ohHA/tadOsVqtNGnSRNcfRKUcf/rpJ2bPns2qVasu/dnJ2wrzr5eLiXqtYGhKQIsJMGOpJ4zgqVVHo+YCT9BqzAKJUo7vvfceiYmJvPHGG4G76K+bYP51cjFRrxXck+FRMQFmLPWCERxBPU+/rj5nzhwSEhKIiooiKiqKhIQEZs+eHai2aR673c7atWux2+3BbopiKOVYUVGBw+GgrKwMp9NZ84E/LZa/QbKdhsuuhfu2Q90rAtoWMGOpJ4zgqTVHo+cCT9BazJRAKceSkhIATp486f/FhICdb8IXt8C549DoTzAiA+rHe3wJM5b6wAiOoJ6nz0OennvuOaZNm8b48eO5/vrrAdi2bRvvvfceEydO5OWXXw5oQ5XC3y7s4uJiYmNjdVvhKul4+PBhrrzyypqvu+st2DhZ3m4zBAZ9Lj+IrQBmLPWDETx9dVRiyJNecoEnmPnCPUo6rlu3jt69e/s3RXF5Cax5EH5ZLr/uOBJuneV1XjFjqQ+M4Ajq5QufC4rGjRvz7rvvcu+991bZv2DBAsaPH09BQYEvl1Udc0yxevz000/Ex8dTq1atSx+8+31Y95i8fc0EuHkqWMOUbaCJic5R4n6nl1zgCWa+UAchBIsXL2bo0KGEh/s8GWVVTu2BlcPkIU7WCLjlbeg8zly0zsSkBlR7hsLhcJCUlHTR/q5du+r+iflK7HY7q1at0nV3WaAcMzMzWbhwIfPnz7/05+PQGkifIG/f8B/o/bbixYQZS/1gBE8tOZq5wDO0FDOlCJTj888/z4gRIxg7dmxgnsnZvwDmd5eLibpXypN6dPmbz8WEGUt9YARHUM/T54Ji1KhRzJw586L9H374ISNH+rfIWKgQHh5Ojx49AvcNigYJlGOTJk2oVasWTZo0ISzMTXHwawasHArCAX8aA92f8+t9PcWMpX4wgqeWHM1c4BlaiplSBMqxa9euhIeHk5iY6N8QJyFg+8uQch9IZdDqNrj/e2jWza/2mbHUB0ZwBPU8fR7yNH78eObOnUuLFi3o3r07ANu3byc3N5fRo0cTERHhOlbLCxuZXdjqUVRURGxsbM0J4vi38kqlFaUQPxCGLIcwD4ZHmZiYeIQS9zu95AJPMPOFeuTk5NC6dWvfL2Avg/THIetj+XXSZOj5X7Dod6y8iUkgUW3IU+ViRnFxcWRnZ5OdnU1cXByJiYlkZWUZYmEju93Ol19+qevuMn8cd+zYQXFxset1gwYNai4m8r+Hpf3lYuLK3pC8RNViwoylfjCCp5YczVzgGVqKmVL46uh0Onnttdeq5Aufi4n8TFj3OMy6XC4mLFboMwN6vRGwYsKMpT4wgiOo52kubOfHN05CCGw2G1FRUf51y2oYXx137NjB6tWriY2NZdy4cURGRtZ8cEEWLLpZnhq2+U0wbI1isznVhBlL/WAET18dzW/Y/cPMF+7x1fGJJ57g7bff5oYbbmDTpk3ez7gjBBxNh29fgdz1v++veyX0nQmtB3p3vUu+nRlLPWAER1AvX5h9f36i97F34Jtjhw4daNCgAV27dnVfTORtkecDt52Gy7rBnatULyYqMWOpH4zgaQRHvWGEmPniOHbsWJo2bcqECRO8LyZO74MFN8CSvnIxYY2Aq0bAsFR4OCfgxUQlZiz1gREcQR1Ps6DwA0mSSElJ0fVMJr461qtXj3HjxnHTTTdVf4Bwwvdvy4vWlRVA0yS5ZyLAK2B7ihlL/WAETyM46g0jxMxXx06dOvHLL78wYsQI795w/wL4vBsc3w7hUXDNeHgoG25fCK1uVWx2QDOW+sAIjqCepznkyc8ubEmSCA8P1213maeOQghSU1Pp0KEDLVu2dH9RpyTPB569Un7d9k4Y+FnQeibAjKWeMIKnr47mkCf/MPOFezx1tNlsPProo0yZMoX27dt7/0ZlhbDlWfjht9nFruwNA+ZBTDMfW+4dZiz1gREcQb18YfZQ+IneK9v/b+/O45uo0z+Af5qkbbjKIkepBQtF5BSBIshRLqHcLLvLgoKIuh4I/hDcVbviCoqCgqKrcqzIJbe0RVksUFxsKRSkYDlb5GgLhbZcPaFXJvP8/ogNhqaQpMkkme/zfr36cjqZJN9Pv3EensxkAtiWMTk5GQcPHsTGjRtRUlJS/YZEwJ7/MzUTOr3p/NbR0W5tJirxXKqHCDlFyKg2IsyZLRnffPNNrFq1CiNHjrTvb3LrCrD3TWB5yO1moscs0+lNCjUTlXgu1UGEjIAyObmhqAFJkhAXF6fqF6StGbt06YJWrVph2LBhqF27tvWNbuUC340Cji0D4AOM2OQx31TKc6keIuQUIaPaiDBntmZ8++230b17d/znP/+x/dzuS4nAyoeA5AWA4SbQuBPw5x1An/dd/sWnd+K5VAcRMgLK5azRKU/79+9Ht27d4O/vb7HsTfgUAMcRkcXhszt/t5B7GPhuNHArx3Q52IFfAp1eUGikjDHAdfs7NdQCW3C9cJxd9eJOF3401Q+pFGjSBej1HhA6wiPejGJMrRQ95WnYsGG4fPlylWVREBGKioqg5o+hVJfRaDRiy5Yt+OWXX8zrqi0Ov24BNvc1NRMN2wNPHfG4ZkLkuVQbEXJ6WkbRa4EtPG3OXKG6jAUFBRg4cCB2795tXmdzM5H+A7B1pKmZaDkMeGI/0GqkW5sJkedSTUTICCiXs0YNxe8Hp/YJsUaSJCQmJqr6cFl1GY8fP460tDTs2LEDxcXF1u9MBByYC2wf91sxGA48eQBo1FGBkdtH5LlUGxFyelpG0WuBLTxtzlyhuowLFixAfHw8nnvuOZSVldn+gCdWAt+PAYzlwINjgNFbAd9aTh61/USeSzURISOgXM4anfJUr149HDt2DKGhoRbL3oQPYTum8qpOrVq1woMPPlh1A0MpEPc34PRG0+9hM4G+CxU/15Uxdpur9ndqqAW24HrhmIqKCrz44ot47bXX0KlTp3vfgQjY/y/TF9UBQLuJwJBVgNbXtQNljJl5/VWelixZgpYtW0Kv1yMsLAyJiYnVbhsTE4PBgwejcePGCAgIQM+ePbFr1y7FxirLMvLy8iDLsmLPqbTfZzQYDOZ3H318fDBkyBDrzUTJVWDLAFMzodEBg78C+i/y6GZCtLlUMxFyipDRnloAAAkJCQgLC4Ner0doaCiWLVtmcfvy5csRHh6OBg0aoEGDBhg0aBAOHTrkyggWRJiz32csLS01r/fz88Pq1avv3kyUFwG/fgvsjQQ29bndTDz2NjBsrUc1E6LNpVqJkBFQLqdHNRSbN2/GjBkzMGvWLKSkpCA8PBzDhg3DxYsXrW6/d+9eDB48GLGxsThy5AgGDBiAUaNGISUlRZHxGo1GJCcnw2g0KvJ87lCZsaSkBOvWrcPOnTvvfkpDWT4QNRjI+RnQ3weM3e1xn5ewRqS5VHNGQIycas9oby3IyMjA8OHDER4ejpSUFLz11luYPn06oqOjzdvEx8fjySefxE8//YQDBw7ggQceQEREhGKf91D7nAG3M168eBGdO3fG559/btsdi7KAbzoB28cDyR8B2UmmN6MiVgC953rch69FmkvO6P2UyulRpzz16NEDXbt2xdKlS83r2rVrhzFjxmD+/Pk2PUaHDh0wfvx4vPPOOzZtz4ewbfPrr79i06ZN8Pf3x5QpU/CHP/yh6kYl14Gtw4HcZKBOU2BcAnCfA19axBhzCW855cneWvDmm29i27ZtSEtLM6+bMmUKjh07hgMHDlh9DqPRiAYNGuDLL7/E008/bdO4uF7Y5tNPP8Vrr72GkJAQnDx5EnXr1q1+45KrwKZwIP8MULeZ6epNgV2B5gOABq2VGzRjzILXnvJUUVGBI0eOICIiwmJ9REQEkpKSbHoMWZZRXFyM++67zxVDtPp8V69eVfXhssqMrVu3xujRo/H0009bbyYK0oFNvUzNROWRCS9qJkSaSzVnBMTIqeaMjtSCAwcOVNl+yJAhOHz4MAwGg9X7lJSUwGAwcL1wosqM06dPx4IFC5CQkHD3ZqKsAIgaYmom6jUHntwPDF4GdHrRo5sJkeaSM3o/pXJ6TENx/fp1GI1GBAYGWqwPDAxEbm6uTY/xySef4NatWxg3bly125SXl6OoqMjiB4D5UJDRaLS6LEmSxbIsy5BlGSdOnDB/cr5yPQAYDAaL5coDQZXLRFRlGYDFcuXnFiqXK5+numWj0Wix7Eim3y+XlJTg1q1bOHHiBGRZRseOHdG0adOqmS7/DNrYE8g/C6r3AGh8IqhhB4/MVN08Vc5l5X29aZ6qy3TnPJWXl5szqiWTtXkyGo3m16xaMt05T+Xl5Th58iQkSbI7k6dzpBbk5uZa3V6SJFy/ft3qfSIjIxEcHIxBgwZVOxauF7a/vi9duoTS0lKcOHECRIQZM2agefPm1WcqzYMcFQFcOwqqHQjDn3YCAQ94VKbq5onrhXdmujNHZa0oLy9XTSZ31osaNRRvvfWW+d2d3y/XxJ3Xprb1y282btyIOXPmYPPmzWjSpEm1282fPx/169c3/1Tu8E6ePAkASEtLMx82P378OM6ePQsASElJQUZGBgDg0KFDyMrKgk6ng6+vL65duwbA9JmOyuK1Z88eFBQUAADi4uLMl1aNjY1FWVkZJElCbGwsJElCWVkZYmNjAQDFxcWIi4sDYLp29549ewCYiuzevXsBADk5OeZ36rKysswfLMzIyDB/fuTs2bM4fvy43ZkAICkpCefPn8fq1auxcuVKtGvXDjqdznqmzF3w2dwfPiVXQY06Ia7hHEj1W3tkppycnGrnSafToayszPxBQm+Zp7tlspin35Z79eplzqeGTNbmSZIk3Lx5EzqdTjWZ7pynPXv2YODAgbh586ZdmTIzM+EKnlALrG1vbT1guozpxo0bERMTA71eX+1jcr2w7fUdHx+Pbt26YezYsejQoUP19aIyU34W8O1AaK4kg/QNUT5yG2KTznpUJq4X6q8XANCrVy9zDjVkcmu9IA9RXl5OWq2WYmJiLNZPnz6d+vbte9f7btq0iWrVqkXbt2+/5/OUlZVRYWGh+ScrK4sAUF5eHhERSZJEkiRVWTYYDBbLRqORjEYjXbhwgQwGg8V6IqKKigqLZVmWLZZlWa6yTEQWy0aj0WK58nmqW5YkyWLZWo57ZapcvnjxIn3wwQf08ccfU2pqqnksFplOriZapCP6GCR/+zjJpfkencnacmWmyrmsvK+3zNPdMv0+B5HptZ+VlUWSJKkmk7V5kiSJLly4QEajUTWZ7pynCL5PvgAAIABJREFUsrIyunTpEhkMBrsy5eXlEQAqLCwkT+VILQgPD6fp06dbrIuJiSGdTmf++1RauHAh1a9fn5KTk+85Fq4Xtr2+v/32W9JoNPTwww/TqVOnrNeLykz5F0he1d5UN5YEknz1uEdm4nqh/nohSRJlZWVRWVmZajK5s154TENBRNS9e3d6+eWXLda1a9eOIiMjq73Phg0bSK/X09atWx16zsLCQocLrMFgoISEBPMfX20yMzPp6tWrVTPKMtHBD4g+hunnh4lEUrn7BuoEap9LIjEyEomR09GMNdnfKcneWvDGG29Qu3btLNZNmTKFHnvsMYt1CxYsoICAADpw4IBD4+J6Ub1t27ZRbm7u3TNmJRItDTLVjWXBRDdOKztIJ1H7XBJxRjVRql54VEOxadMm8vX1pRUrVlBqairNmDGD6tSpQ5mZmUREFBkZSZMmTTJvv2HDBtLpdLR48WLKyckx/xQUFNj8nN5SYJWQl5d377+DVEG0++XbzUTCG0SyUZkBMsZqxFv2d/bWgvT0dKpduzbNnDmTUlNTacWKFeTr60tRUVHmbT766CPy8/OjqKgoi3pRXFxs87i85e+nhJSUFNv/DrJMlPwJ0SdaU91Y1Z4o/7xrB8gYqxGvbiiIiBYvXkwhISHk5+dHXbt2pYSEBPNtkydPpn79+pl/79evHwGo8jN58mSbn68mBcJoNFJmZqb5MJQ3u379On3yySf0+eefU1FRkXm9RcbCTKL1PX5rJnyIjvzbjSN2LjXNZXVEyEgkRk5HM3rTP4jtqQVERPHx8dSlSxfy8/OjFi1a0NKlSy1uDwkJsVovZs+ebfOYuF6Y7Nu3j+rVq0d9+vSxaMiqZJSNRGdiiNaG3X4TavsEonLbmzhPpKa5rA5nVA+l6oXOvk9cuN7UqVMxdepUq7etXr3a4vf4+HjXD+guZFnG5cuXERwcDI3GYy6Y5RCdTgetVlslhzmjvgCa74YDN7MB/z8AQ1cDD/7RPYN1ATXNZXVEyAiIkVOEjPbUAgDo168ffvnll2ofz1UfSLeVmuZMr9dDo9HA19fX4kPv5oz33w9NRiyQGAncOGW6UVcb6LcQeORlj/uiOnupaS6rwxnVQ6mcDn+x3TPPPIPnnnsOffv2dfaYFMVfVHRbfn4+/Pz8UKdOHcsbbqSZvnio7AbQsAPw5x+AgBD3DJIx5jBX7O/UUgtswfXithMnTuDBBx9ErVq1LG+4kQr8NBO4YLpaDvwCgK7TgS6vArUbKT9QxphDFPtiu+LiYkRERKB169aYN28eLl++7OhDeS2j0Yhz5855xbXdrcnJycGlS5fMvzdo0KBKM2HMOw/DpoGmZiKwGzA+QZXNhLfPpS1EyAiIkdOTMnItsI0nzZkjdu7cifT0dPPvDz/8sGUzUZYP+X/TQWs6mZoJrR/w6JvACxeA3nNV1Ux4+1zagjOqh1I5HW4ooqOjcfnyZbzyyivYsmULWrRogWHDhiEqKqrabyZVGyJCfn4+HDzI41ZXrlzBmjVrsG7dOly5csX6RlePQfNtOHzLckH3tQP+shOo1VDZgSrEm+fSViJkBMTI6UkZuRbYxpPmzF47d+7E6NGjMXDgQPM18s2IgGP/AVa0huboF/AhI+TQUcDkU0DfDwH9H9wzaBfy5rm0FWdUD6VyOnzK051SUlKwcuVKfP3116hbty6eeuopTJ06Fa1bt3bGw7uMqIewKyoqsH79egDAhAkT4O/vb7nBxZ+A78cAFUVAo47AX3YBde93w0gZY86ixP7OW2uBLUStFzk5Oejfvz+6du2Kb775Br6+vrdvTF4I7H3DtNywAzDgMyCk+m8fZ4x5B8VOefq9nJwcxMXFIS4uDlqtFsOHD8epU6fQvn17fPrpp854Co9kNBpx+vRprzxc5ufnhwkTJmDixIlVm4nTm4GYoUBFESi4L850XQFjrUD3DFQh3jyXthIhIyBGTk/NKGotsIWnzpktgoKCsG/fPqxdu9aymcjcbfrgNQD0ehfGiUdwurSZV2a0hzfPpa04o3ooldPhhsJgMCA6OhojR45ESEgItmzZgpkzZyInJwdr1qxBXFwc1q5di/fee8+Z4/U4paWl7h6Czc6fP2/+OngA8Pf3h5+f3+0NSAYOLQB+eAIwVgAPjYX8p1jcknytPJr6eNNcOkqEjIAYOT0lI9cC23nKnNli1apVFldSbNy4MXS6310YsjDDVCtIBjo+Bzz2L0Cj86qMNSFCTs6oHkrkdPiUp0aNGkGWZTz55JN44YUX0Llz5yrb5Ofno2vXrsjIyKjxQF1FlEPYV65cwfLlyyHLMiZNmoSWLVtablB8Cdj5DHDxf6bfO08DBvwb0GgVHytjzDVcsb9TSy2whSj14ocffsDIkSNRp04dpKSkVD1drawA+LYfcO040PRRYPxeQKd3z2AZYy6h2ClPn376KbKzs7F48WKrBQQwXTXI2wvI3RiNRpw8edIrDpc1adIEnTp1Qps2bfDAAw9Y3vjrFuCbTqZmQlcLGLQUGPgFoNF6VcaaECGnCBkBMXJ6UkauBbbxpDm7l8cffxwRERF44YUX8OCDD1reWHId2DLQ1EzUbgKMijY3E96UsSZEyMkZ1UOpnA5/sd2kSZOcOQ7mYj4+Phg1ahRkWYZW+9tRB2MFsPsl4NRq0++BYcDw9cB9bdw2TsaYd+FaoD56vR7//e9/q3xxHW5dAaIGAddPArUaA2N3AwHN3TdQxpjHcNpVnryVmg9hHz9+HFeuXMGgQYMsiwJgaia2jQXS/wv4aIDu/wR6zga0YnxegjERqXl/pwQ1//3mzp2LJk2a4KWXXqp6o7ECSF0LHJwLFF0wXfFv7P+Ahm2VHyhjTBFuucqTqIxGI1JSUjzycNmNGzfw3XffISkpCadPn7a8sbwI2DrK1Ezo9MCfY4E+71ttJjw5ozOJkFOEjIAYOUXIqDaePGe7du3CO++8gylTplhcuAOAqZFY8SAQ97ypmQhoYfrMhJVmwpMzOpMIOTmjeiiV0+FTnpiJxTeFepCGDRti6NChuHbtGtq2/d2OvygL2DoCuH4C0NUG/rgVaBFx18fy1IzOJkJOETICYuQUIaPaeOqcRUREYMaMGQgODkanTp1u33B0CfC/aablOk2Bbq8DnV4E/OpW+1iemtHZRMjJGdVDiZx8ypPKDmHLsgyN5vaBJyK6fbrTlV+ArSOBWzmm4vCn7abPTTDGhKC2/Z3S1PT3IyIQkbleWNQKwHRkYsfTpuWwv5uOYvOVnBgTBp/ypCBJkpCcnAxJktw9FADA/v37sWnTJovxmAvEue+BzX1NzUTDDsCEn21qJjwto6uIkFOEjIAYOUXIqDaeNGeyLGPKlCl45ZVXUPmeokUzcTYG2PmsabnL/wH9FtrUTHhSRlcSISdnVA+lcvIpTzXg4+ODBg0aVP3AsxsUFhYiPj4ekiQhLS0NDz/8sOmGsnzgp1dN7zYBwAODgNFRgH99mx7XkzK6kgg5RcgIiJFThIxq40lzdvDgQSxfvhwAMHnyZPTo0eP2jceWmU5zIhno8Aww4DPAxjF7UkZXEiEnZ1QPpXLyKU8qOoSdnp6O7Oxs9OnTx7TiyhHgv381faMpfICwGUD4R3wlJ8YEpab9nTuo6e+3cuVK6PV6TJgwwbSCZGBvJHB4oen3Ds8AEcsBDb/vyJiI+JQnBUmShKSkJLcdLiMilJWVmX8PDQ293UyciQY2hZuaifotgSeTgP6L7G4m3J1RKSLkFCEjIEZOETKqjbvnzGAw4NatW+bfn3vuudvNhGwEdky+3Uz0ngsMWWl3M+HujEoRISdnVA+lcnJDUQMajQbBwcEWH4JWChFh586dWLFihUWRABFwaAHw37GAVAq0HA489Qtw/2MOPY87MypJhJwiZATEyClCRrVx55yVl5fjr3/9K0aNGoWSkhLLG4mA/00F0taZGohha4HH3rb5NKffE+V1KUJOzqgeSuXkU5689BD2rVu38NVXX6GoqAhjx45Fhw4dAKPBVBhOfG3aqMv/mY5K8CFrxhi8d3/nKbz173fy5En07NkTBoMBP/30E3r27Gm6gQhIeB048onpC05HbATajHPvYBljHoFPeVKQJEnYu3evWw6X1alTB08//TT+/Oc/m5qJsgIgZripmfDRAAP+DQz8vMbNhDszKkmEnCJkBMTIKUJGtXHnnHXs2BE7duzADz/8YNlMJM02NRMAMHh5jZsJUV6XIuTkjOqhVE5+67oGNBoNWrVqpdjhMlmWkZ+fj4YNGwIwfXldw4YNTZ+T2DoSuJEK+NYBRmwCWo10ynMqndFdRMgpQkZAjJwiZFQbpefs5s2bKCgoQLNmzQDg9ufrAFMzkRgJJC8w/d7/U+Dh52r8nKK8LkXIyRnVQ6mcfMqTlxzCNhqNiImJQXp6OiZPnoymTZuabsg+CHw3Gii9BtQNNn1ZXZPO7h0sY8wjecv+zlN5y9+vsLAQw4cPx5UrV5CQkIDg4ODbN5IM/DQDSPnC9PuAz4Cur7pnoIwxj8WnPClIkiTs2bNHkcNlRqMRRUVFqKioQFFRkWllziFgy+OmZqJJF9OX1Tm5mVAyozuJkFOEjIAYOUXIqDZKztnNmzeRm5uLGzduIDc39/YNshHY/dLtZmLQMqc2E6K8LkXIyRnVQ6mcfMpTDWg0GnTs2FGRw2V+fn6YOHEicnNz0aJFC+DGaWDrCEAqAUIGA6NjAL+6Tn9eJTO6kwg5RcgIiJFThIxqo+ScBQcHY8+ePcjPz0fnzr+9ySRLwM5ngLT1ps/ZDVkJdJjs1OcV5XUpQk7OqB5K5eRTnjz4ELbBYEBWVhZCQ0Mtb8j5GYgZAZTdAALDgHHxLmkmGGPq4sn7O2/gyX+/K1eu4MKFC+jevXvVG0uuAz9OAc5Gmy7UMXw9X82JMXZXfMqTggwGA3bt2gWDweCSx16/fj3WrVuHtLS02zdk7AC+HWhqJpo+Cvx5h0ubCVdm9CQi5BQhIyBGThEyqo0r5yw3Nxf9+/fHoEGDcOjQIdPKwgzg4PvAhp7A0iamZkLrB4yKclkzIcrrUoScnFE9lMrJpzzVgFarxaOPPgqtVuv0x9bpdKhfvz78/PxQt+5vDcOpb4BdzwFkBFoMMRUGFx+ZcGVGTyJCThEyAmLkFCGj2rhyzgICAtC0aVPcunUL9+UfALb8E7i4x3Kjxo8A/T4GQgY5/fkrifK6FCEnZ1QPpXLyKU8efAhblmXk5eWhUcP7gJ/nA/vfNt3Q7ilgyArTu02MMWYjT97feQNP/vvd/HUX8mL/jgfkU7+t8QEeeBxoMx5oORSo18yt42OMeRc+5UlBBoMBP/zwg9MOI5WUlCA5Odn8u0ajQaMAvemysJXNRNjfgWFrFGsmnJ3RU4mQU4SMgBg5RcioNs6es3PnzmHjxo1AWT6w/UnU3T7U1Ez41wceewd4IQP4626g0/OKNROivC5FyMkZ1UOpnHyEogbvOBERiouLUa9ePfj4+NRoHJIkYfny5bh69SoGDx6MXr16AYZbpm+/vrQX0Pqbvvm604s1eh57OTOjJxMhpwgZATFyOprRk99h9waeUi9ycnLQrVs35OTkIHpKI/yp1TUAPqb60HsuULtxjR7fUSL8vweIkZMzqodS9YKPUNSAj48PAgICnPJC1Ol0eOSRR1C3bl089NBDQMlVICrC1Ez4BQDjExRvJgDnZvRkIuQUISMgRk4RMqqNM+esadOmGN27NTo0BXo1uQbUbwlM/BkYvMxtzQQgzutShJycUT2UyskNRQ0YDAZ8//33TjuM1KtXL0ybNg2NCg8Aa8OA7CTT4eu/7ASCejjlOezl7IyeSoScImQExMgpQka1ceac+RxdgsWPJmDfVEJg59HAU0dMV/1zM1FelyLk5IzqoVROPuWphoewy8rKoNfrHer8CgoKkJSUhCFDhpg+fV90AdgzHTi/zbRBg9bAmP8C97Wx+7GdpaYZvYUIOUXICIiR09GMfMpTzbizXiQnJ+P777/H3Cdaw2fXM6aV3SOBPh+YvqjOA4jw/x4gRk7OqB5K1Qu+bGwN6XSO/QmNRiPWrVuHGzduQKvRYMj9l4D4GabPTWh0pg9f9/wX4FvHySO2n6MZvY0IOUXICIiRU4SMauPonN24cQODBw9GYWEhgk/74OWeALpMB/rMAzzsH0KivC5FyMkZ1UOJnJ7xtoaXkiQJsbGxkCTJ7vtqtVoMGTIEgY0bolfx18DuF0zNRHAf4OljQN8PPaKZqElGbyJCThEyAmLkFCGj2tRkzho2bIgP33we/Vr54KkuBHR4Fhjwqcc1E6K8LkXIyRnVQ6mcfMpTDQ9hS5IEnU7n2OGyvDOQvx0Eza0s02Vge38AhM0ENJ7zJSs1zuglRMgpQkZAjJyOZuRTnmrGbfUi7wywsSeMJXnQPjTG9KWmHlQnKonw/x4gRk7OqB5K1Qs+QlFD9nR8ubm5+Oabb1BSUgLkHga+7WdqJhq0ASYmA4/+wyOLhNq790oi5BQhIyBGThEyqo09c7Zz506MGTMGZXmXgK0jgLI8aO9/FBi+3iPrRCVRXpci5OSM6qFETm4oakCSJMTFxdk0UUSEmJgYZGRkYPfmz4FNvYFbuUDjTsATe03/9UD2ZPRmIuQUISMgRk4RMqqNPXNWVFSEiRMn4vvvv8dnL4UBBeeAgBami3T41nb9YB0kyutShJycUT2UysmnPCl4CsC17Ez879svMUb6EnqfcuDBPwFDV5kuDcsYYy7GpzzVjGJ/v6KLiP9yElbG7MWKcYBv3Uam7yJq2N51z8kYY7/DpzwpiIhQVFSEu/VkRqPRtHAjFY13DsUTxk+g1xqB/ouA0dEe30zYklENRMgpQkZAjJwiZFQbW+asoqICyD4ArAtDf/+9+GaCBr5h04BnT3tFMyHK61KEnJxRPZTKyQ1FDUiShMTExGoPI6Wnp+OLL77AtV/3AZv6Avm/AnWbAeMSTB++9oIPAd0ro1qIkFOEjIAYOUXIqDb3mrPVq1ejc/tQ5H7dHyi9DjTpCkw6Cjz+JVCrobKDdZAor0sRcnJG9VAqJ5/y5KJD2ESE1atW4WJWFh7xT8UY329N32T6px+A2o2d9jyMMWYrPuWpZlz19ystLUX7B5shMzsPc4cCb780GhixwSMuHc4YExOf8qQgWZaRl5cHWZar3OZTfBFP1N2Knr77MVIXDQT1AP4S53XNxN0yqokIOUXICIiRU4SManO3Oat1bBF+fDoPswcDs/7xCjA6xiubCVFelyLk5IzqoVRObihqwGg0Ijk5+fbnJADcvHkTSI8F1nRCraztiKidAF2fOcD4vYD+D+4brIOsZVQjEXKKkBEQI6cIGdXG2pxdyc0F9s0C9r+NVo2AOe/Nhc/jX3j0ZWHvRpTXpQg5OaN6KJWTT3ly4iHsE8ePY9v3W/FXvw14SHcGCOoJDFkJNGzrpNEyxpjj+JSnmnHa36/iJua9PhkLv/4e/3vRiK7NAPRdaPouIsYY8wBef8rTkiVL0LJlS+j1eoSFhSExMfGu2yckJCAsLAx6vR6hoaFYtmyZQiM1HUa6evWq6TCSoRRnE9ZAkoEz0kNApxeB8fFe30xYZFQxEXKKkBEQI6cIGV1RC6Kjo9G+fXv4+/ujffv22Lp1q6uGX4V5zs5tQ8XiIMRui0FBiRF7zvkAjy9WRTMhwusSECMnZ1QPpXJ6VEOxefNmzJgxA7NmzUJKSgrCw8MxbNgwXLx40er2GRkZGD58OMLDw5GSkoK33noL06dPR3R0tCLjlWUZJ0+ehFx4Edgcjj+Wf4aR+h8wYvhQYNAyQOunyDhcyZxRgP/h1J5ThIyAGDnVntEVteDAgQMYP348Jk2ahGPHjmHSpEkYN24cfv75Z0UyybKM9OTt8ImdCD/5JmL/Hoo174zFPzZkAZ2nKjIGV1P767KSCDk5o3ooldOjTnnq0aMHunbtiqVLl5rXtWvXDmPGjMH8+fOrbP/mm29i27ZtSEtLM6+bMmUKjh07hgMHDtj0nDU9hJ19dAfuP/AsUHIF0DcERkcBzfvb/TiMMeZq3nLKkytqwfjx41FUVIQdO3aYtxk6dCgaNGiAjRs32jSumvz9qDQfR+Y/gm71s4AHBgJ/2QVodHY9BmOMKcVrT3mqqKjAkSNHEBERYbE+IiICSUlJVu9z4MCBKtsPGTIEhw8fhsFgcNlYKyVFf4rl3x/C/oIHgUYPA08lq66ZkGUZly9fFqKDV3tOETICYuRUc0ZX1YLqtqnuMZ1JNkqY+qfOeOyDLHx7phEwYpMqmwk1vy5/T4ScnFE9lMrpMQ3F9evXYTQaERgYaLE+MDAQubm5Vu+Tm5trdXtJknD9+nWr9ykvL0dRUZHFD3D7G62NRqPVZUmSLJbllMUwnjGdf1v6h4eBJ5Mg1WlunjCDwWCxXHkgqHKZiKosA7BYlmXZYrnyS0mqWzYajRbLdmf6bby/X66oqMC5c+fMY1FDpt8vV2aSZRnnzp0z31cNme6cp/LycnNGtWSyNk9Go9H8mlVLpjvnqby8HOfPn4ckSXZn8nSuqgXVbVPdYwLOqxe0/11U5F+ETEBh65eA2o2d9lrwpNc31wvvzXTnPIlQLyprRXl5uWoyubNeeExDUcnnjm+PJqIq6+61vbX1lebPn4/69eubf5o3bw4AOHnyJAAgLS3NfNj8+PHjOHv2LAAgJSUFGRkZAIBDhw7hcu3HEN7oIoY0y0W7UW8BfnWxd+9ec/Has2cPCgoKAABxcXEoLi4GAMTGxqKsrAySJCE2NhaSJKGsrAyxsbEAgOLiYsTFxQEACgoKsGfPHgCmIrt3714AQE5OjvldtaysLBw6dAiA6TzilJQUAMDZs2dx/PhxuzJlZWUBAJKSkpCTk2NebteuHXQ6nWoyWZsnnU6HmzdvorS0VDWZ7pynuLg4dO/e3ZxPDZmszZMkSeY5VUumO+dpz5496Nu3L27evGlXpszMTHgLV9QCex/TWfXiat0wfPXM/fjmvUkY/uTLAJz3WvCk1zfXC+/NdOc8iVAvAKB79+7mHGrI5NZ6QR6ivLyctFotxcTEWKyfPn069e3b1+p9wsPDafr06RbrYmJiSKfTUUVFhdX7lJWVUWFhofknKyuLAFBeXh4REUmSRJIkVVk2GAwWy0ajkYylBXT+/HkyGAwW64mIKioqLJZlWbZYlmW5yjIRWSwbjUaL5crnqW5ZkiSLZWs57pXpzuXy8nLKyMgwj0UNmazNk9FopPPnz5vvq4ZMd85TWVkZZWRkkCRJqslkbZ4kSaLz58+T0WhUTaY756msrIwyMzPJYDDYlSkvL48AUGFhIXkqV9WC5s2b06JFiyy2WbRoET3wwAPVjoXrBdcLrhfqrReSJFFGRgaVlZWpJpM764XHHKHw8/NDWFgYdu/ebbF+9+7d6NWrl9X79OzZs8r2cXFx6NatG3x9fa3ex9/fHwEBARY/AKDVas3/tbas0+ksljUaDWRdHYvD5ZXrAcDX19diufJdsMplHx+fKssALJY1Go3Fsk6nu+uyVqu1WHYk053LGo0G2dnZkGVZNZmszZMsy8jNzTW/q6mGTHfOk1arRXZ2NohINZmszRMRITc3F7IsqybTnfOk1Wpx+fJl8/b2ZPJ0rqoF1W1T3WMCXC+4XnC9UHO9ICJkZ2ebH1sNmdxaL2xqOxSyadMm8vX1pRUrVlBqairNmDGD6tSpQ5mZmUREFBkZSZMmTTJvn56eTrVr16aZM2dSamoqrVixgnx9fSkqKsrm5ywsLPT4d+wYY8wZvGV/54pasH//ftJqtfThhx9SWloaffjhh6TT6ejgwYM2j8tb/n6MMVZT9u7vPKqhICJavHgxhYSEkJ+fH3Xt2pUSEhLMt02ePJn69etnsX18fDx16dKF/Pz8qEWLFrR06VK7nq8mBUKSJDp79qz5sJUaiZCRSIycImQkEiOnoxm96R/ErqgFW7ZsoTZt2pCvry+1bduWoqOj7RoT14u7EyEjkRg5OaN6KFUvPOp7KNyhJtcVlyQJKSkp6NKli/kQkdqIkBEQI6cIGQExcjqa0Vu+h8JTcb24OxEyAmLk5IzqoVS94IaCCyxjTBC8v6sZ/vsxxkThtV9s542MRiNOnz7tFdd2d5QIGQExcoqQERAjpwgZ1UaEORMhIyBGTs6oHkrl5IaihiqvQ61mImQExMgpQkZAjJwiZFQbEeZMhIyAGDk5o3ookZNPeeJD2IwxQfD+rmb478cYEwWf8qQgo9GIkydPqvpwmQgZATFyipARECOnCBnVRoQ5EyEjIEZOzqgeSuXkhoIxxhhjjDHmMD7liQ9hM8YEwfu7muG/H2NMFPbu79R74V0bVfZTRUVFdt+38jBSx44d7f+Kci8hQkZAjJwiZATEyOloxsr9nODvIzmM68XdiZARECMnZ1QPpeqF8A1FcXExAKB58+ZuHgljjCmjuLgY9evXd/cwvA7XC8aYaGytF8Kf8iTLMrKzs1GvXj34+PjYdd+ioiI0b94cWVlZqj38LUJGQIycImQExMjpaEYiQnFxMe6//35oNPwROntxvbg7ETICYuTkjOqhVL0Q/giFRqNBs2bNavQYAQEBqn4xAmJkBMTIKUJGQIycjmTkIxOO43phGxEyAmLk5Izq4ep6wW9RMcYYY4wxxhzGDQVjjDHGGGPMYdo5c+bMcfcgvJlWq0X//v2h06n37DERMgJi5BQhIyBGThEyqo0IcyZCRkCMnJxRPZTIKfyHshljjDHGGGOO41OeGGOMMcYYYw7jhoIxxhhjjDHmMG4oGGOMMcYYYw7jhuIelixZgpYtW0Kv1yMsLAyJiYl33T4hIQFhYWHQ6/UIDQ3FsmXLFBqp4+zJGBMTg8GDB6Nx48YICAhAz549sWvXLgVH6zh757LS/v37odPp0LlzZxePsOZhSWJQAAANI0lEQVTszVheXo5Zs2YhJCQE/v7+aNWqFVauXKnQaB1jb8b169fjkUceQe3atREUFIRnn30WN27cUGi0jtm7dy9GjRqF+++/Hz4+Pvjuu+/ueR9v3Pd4M1fUhujoaLRv3x7+/v5o3749tm7d6qrh28TZGZcvX47w8HA0aNAADRo0wKBBg3Do0CFXRrCJK+v8pk2b4OPjgzFjxjh72HZxRcaCggJMmzYNQUFB0Ov1aNeuHWJjY10VwSauyPnZZ5+hTZs2qFWrFpo3b46ZM2eirKzMVRHuyZ6MOTk5mDBhAtq0aQONRoMZM2ZY3c4p+x5i1dq0aRP5+vrS8uXLKTU1lV599VWqU6cOXbhwwer26enpVLt2bXr11VcpNTWVli9fTr6+vhQVFaXwyG1nb8ZXX32VPvroIzp06BCdOXOG/vnPf5Kvry/98ssvCo/cPvbmrFRQUEChoaEUERFBjzzyiEKjdYwjGUePHk09evSg3bt3U0ZGBv3888+0f/9+BUdtH3szJiYmkkajoX//+9+Unp5OiYmJ1KFDBxozZozCI7dPbGwszZo1i6KjowkAbd269a7be+O+x5u5ojYkJSWRVqulefPmUVpaGs2bN490Oh0dPHhQqVgWXJFxwoQJtHjxYkpJSaG0tDR69tlnqX79+nTp0iWlYlXhyjqfmZlJwcHBFB4eTn/84x9dHaVarshYXl5O3bp1o+HDh9O+ffsoMzOTEhMT6ejRo0rFqsIVOdetW0f+/v60fv16ysjIoF27dlFQUBDNmDFDqVgW7M2YkZFB06dPpzVr1lDnzp3p1VdfrbKNs/Y93FDcRffu3WnKlCkW69q2bUuRkZFWt3/jjTeobdu2Futeeukleuyxx1w2xpqyN6M17du3p3fffdfZQ3MqR3OOHz+e3n77bZo9e7bHNxT2ZtyxYwfVr1+fbty4ocTwnMLejAsXLqTQ0FCLdZ9//jk1a9bMZWN0NlsaCm/c93gzV9SGcePG0dChQy22GTJkCD3xxBNOGrV9lKh/kiRRvXr1aM2aNTUfsINclVOSJOrduzd9/fXXNHnyZLc2FK7IuHTpUgoNDaWKigrnD9hBrsg5bdo0GjhwoMU2r732GvXp08dJo7ZPTf7N1q9fP6sNhbP2PXzKUzUqKipw5MgRREREWKyPiIhAUlKS1fscOHCgyvZDhgzB4cOHYTAYXDZWRzmS8U6yLKO4uBj33XefK4boFI7mXLVqFc6fP4/Zs2e7eog15kjGbdu2oVu3bliwYAGCg4Px0EMP4R//+AdKS0uVGLLdHMnYq1cvXLp0CbGxsSAiXLlyBVFRURgxYoQSQ1aMt+17vJmrakN129i6L3YmpepfSUkJDAaD2+qHK3O+9957aNy4Mf72t785f+B2cFXGbdu2oWfPnpg2bRoCAwPRsWNHzJs3D0aj0TVB7sFVOfv06YMjR46YT81LT09HbGysW2qIM/7NZo2z9j3q/iaPGrh+/TqMRiMCAwMt1gcGBiI3N9fqfXJzc61uL0kSrl+/jqCgIJeN1xGOZLzTJ598glu3bmHcuHGuGKJTOJLz7NmziIyMRGJiold84Y0jGdPT07Fv3z7o9Xps3boV169fx9SpU5GXl+eRn6NwJGOvXr2wfv16jB8/HmVlZZAkCaNHj8YXX3yhxJAV4237Hm/mqtpQ3Ta27oudSan6FxkZieDgYAwaNMh5g7eDq3Lu378fK1aswNGjR102dlu5KmN6ejr27NmDiRMnIjY2FmfPnsW0adMgSRLeeecdl+WpjqtyPvHEE7h27Rr69OkDIoIkSXj55ZcRGRnpsizVcca/2axx1r6Hj1Dcg4+Pj8XvRFRl3b22t7bek9ibsdLGjRsxZ84cbN68GU2aNHHV8JzG1pxGoxETJkzAu+++i4ceekip4TmFPXMpyzJ8fHywfv16dO/eHcOHD8eiRYuwevVqjz1KAdiXMTU1FdOnT8c777yDI0eOYOfOncjIyMCUKVOUGKqivHHf481cURsc3Re7iivr34IFC7Bx40bExMRAr9c7YbSOc2bO4uJiPPXUU1i+fDkaNWrk/ME6yNlzKcsymjRpgq+++gphYWF44oknMGvWLCxdutTJI7ePs3PGx8fjgw8+wJIlS/DLL78gJiYG27dvx9y5c508ctu5Yj/hjMf0/Lde3aRRo0bQarVVOrSrV69W6eQqNW3a1Or2Op0ODRs2dNlYHeVIxkqbN2/G3/72N2zZssVt7y7Zyt6cxcXFOHz4MFJSUvDKK68AMO08iQg6nQ5xcXEYOHCgImO3lSNzGRQUhODgYNSvX9+8rl27diAiXLp0Ca1bt3bpmO3lSMb58+ejd+/eeP311wEAnTp1Qp06dRAeHo73339fNe/ce9u+x5u5qjZUt8299sWu4Or69/HHH2PevHn48ccf0alTJ+cO3g6uyHnq1ClkZmZi1KhR5ttlWQYA6HQ6/Prrr2jVqpWTk1TPVXMZFBQEX19faLVa8zbt2rVDbm4uKioq4Ofn5+Qkd+eqnP/6178wadIkPP/88wCAhx9+GLdu3cKLL76IWbNmQaNR7n35mvyb7W6cte/hIxTV8PPzQ1hYGHbv3m2xfvfu3ejVq5fV+/Ts2bPK9nFxcejWrRt8fX1dNlZHOZIRMB2ZeOaZZ7BhwwavOBfd3pwBAQE4ceIEjh49av6ZMmUK2rRpg6NHj6JHjx5KDd1mjsxl7969kZ2djZs3b5rXnTlzBhqNBs2aNXPpeB3hSMaSkpIqO/zKAlj5TpQaeNu+x5u5qjZUt83d9sWu4sr6t3DhQsydOxc7d+5Et27dnD94O7giZ9u2bavUj9GjR2PAgAE4evQomjdv7rI81rhqLnv37o1z586ZmyXAVD+CgoIUbyYA1+WsroaQ6aJGTkxwb47+m+1enLbvsesj3IKpvDzXihUrKDU1lWbMmEF16tShzMxMIiKKjIykSZMmmbevvATZzJkzKTU1lVasWOHxl260N+OGDRtIp9PR4sWLKScnx/xTUFDgrgg2sTfnnbzhKk/2ZiwuLqZmzZrR2LFj6dSpU5SQkECtW7em559/3l0R7snejKtWrSKdTkdLliyh8+fP0759+6hbt27UvXt3d0WwSXFxMaWkpFBKSgoBoEWLFlFKSor50oBq2Pd4M1fUhv3795NWq6UPP/yQ0tLS6MMPP/SIy8Y6M+NHH31Efn5+FBUVZVE/iouLFc9XSYk67+6rPLki48WLF6lu3br0yiuv0K+//krbt2+nJk2a0Pvvv694vkquyDl79myqV68ebdy4kdLT0ykuLo5atWpF48aNUzwfkWP/lqmsJWFhYTRhwgRKSUmhU6dOmW931r6HG4p7WLx4MYWEhJCfnx917dqVEhISzLdNnjyZ+vXrZ7F9fHw8denShfz8/KhFixa0dOlShUdsP3sy9uvXjwBU+Zk8ebLyA7eTvXP5e97QUBDZnzEtLY0GDRpEtWrVombNmtFrr71GJSUlCo/aPvZm/Pzzz6l9+/ZUq1YtCgoKookTJ7r1uve2+Omnn+76/5la9j3ezBW1YcuWLdSmTRvy9fWltm3bUnR0tKtj3JWzM4aEhFh9Xc+ePVuBNNVzdZ13d0NB5JqMSUlJ1KNHD/L396fQ0FD64IMPSJIkV0e5K2fnNBgMNGfOHGrVqhXp9Xpq3rw5TZ06lfLz85WIY5W9Ga39PxcSEmKxjTP2PT6/PRljjDHGGGOM2Y0/Q8EYY4wxxhhzGDcUjDHGGGOMMYdxQ8EYY4wxxhhzGDcUjDHGGGOMMYdxQ8EYY4wxxhhzGDcUjDHGGGOMMYdxQ8EYY4wxxhhzGDcUjDHGGGOMMYdxQ8EYY4wxxhhzGDcUjDHGGGOMMYdxQ8EYY4wxxhhzGDcUjCno2rVraNq0KebNm2de9/PPP8PPzw9xcXFuHBljjDFPwvWCeRMfIiJ3D4IxkcTGxmLMmDFISkpC27Zt0aVLF4wYMQKfffaZu4fGGGPMg3C9YN6CGwrG3GDatGn48ccf8eijj+LYsWNITk6GXq9397AYY4x5GK4XzBtwQ8GYG5SWlqJjx47IysrC4cOH0alTJ3cPiTHGmAfiesG8AX+GgjE3SE9PR3Z2NmRZxoULF9w9HMYYYx6K6wXzBnyEgjGFVVRUoHv37ujcuTPatm2LRYsW4cSJEwgMDHT30BhjjHkQrhfMW3BDwZjCXn/9dURFReHYsWOoW7cuBgwYgHr16mH79u3uHhpjjDEPwvWCeQs+5YkxBcXHx+Ozzz7D2rVrERAQAI1Gg7Vr12Lfvn1YunSpu4fHGGPMQ3C9YN6Ej1AwxhhjjDHGHMZHKBhjjDHGGGMO44aCMcYYY4wx5jBuKBhjjDHGGGMO44aCMcYYY4wx5jBuKBhjjDHGGGMO44aCMcYYY4wx5jBuKBhjjDHGGGMO44aCMcYYY4wx5jBuKBhjjDHGGGMO44aCMcYYY4wx5jBuKBhjjDHGGGMO44aCMcYYY4wx5rD/B3F9Q/Kg3tMVAAAAAElFTkSuQmCC",
"text/plain": "Figure(PyObject <Figure size 800x400 with 2 Axes>)"
},
"metadata": {},
"output_type": "display_data"
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "$n=32$ でも誤差が大きくなっている。 $n$ を大きくすると誤差は減るはずなのに。\n\n正規分布モデルの最大尤度よりも大きなt分布モデルの尤度が計算できた場合以外を捨てていることの悪影響があるのだと思う。最尤法の真の解を計算するのは結構難しい。"
},
{
"metadata": {},
"cell_type": "markdown",
"source": "## データを保存"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "using JLD2\nusing FileIO\nfilejld2 = \"Simulation of log likelihood ratios of t-dist and normal dist.jld2\"\n@save filejld2\nall = load(filejld2)\n@show sort(collect(keys(all)));",
"execution_count": null,
"outputs": []
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "",
"execution_count": null,
"outputs": []
}
],
"metadata": {
"@webio": {
"lastCommId": null,
"lastKernelId": null
},
"_draft": {
"nbviewer_url": "https://gist.github.com/37e06943aa91f0d7db65dc40052367e9"
},
"gist": {
"id": "37e06943aa91f0d7db65dc40052367e9",
"data": {
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