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t分布モデルの尤度函数の様子
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{
"cells": [
{
"metadata": {},
"cell_type": "markdown",
"source": "# t分布モデルの尤度函数の様子\n\n黒木玄\n\n2017-10-08~9\n\n次のモデルで最尤法を実行してみた:\n\n err ~ ρ×T, T ~ (自由度νのt分布)\n\nパラメーターは rho と nu の2つ。よく使われているのは\n\n err ~ (平均が0で標準偏差がσの正規分布)\n\nというモデル。自由度νのt分布は、ν→∞で標準正規分布に収束する。大きなνにおける我々のモデルは実質的に正規分布のモデルと同等であると考えられる。\n\n最尤法の収束先のνが大きいとき、最尤法はサンプルが正規分布に従っていると判断している。もしくは**「外れ値はない」**と判断している。\n\n最尤法の収束先の ν が大きくないとき、最尤法はサンプルが t分布×定数 に従っていると判断している。もしくは**「外れ値がある」**と判断している。"
},
{
"metadata": {},
"cell_type": "markdown",
"source": "## 外れ値っぽい値が11個中2つ含まれている場合"
},
{
"metadata": {
"scrolled": false,
"trusted": true
},
"cell_type": "code",
"source": "using PyPlot\nusing Distributions\nusing Optim\noptions = Optim.Options(store_trace = true, extended_trace = true)\ncmap = \"gnuplot2_r\"\n\nfunction findminimum(A)\n local val, ind\n val, ind = findmin(A)\n i = mod1(ind, size(A,1))\n j = div(ind+size(A,1)-1, size(A,1))\n return val, i, j\nend\n\nfunction plotlikelihood(a, b; delta = 0.2, init = [1.0,1.0])\n\nsrand(4649)\nx = collect(-5.0:5.0)\ny0 = 0.2*x + 10e-3*randn(length(x))\ny0[1] = 0.0\ny0[end] = 0.0\n\nerr = shuffle(y0 .- (a .+ b.*x))\n@show err\n\nphiexp(w) = -sum(logpdf.(TDist(exp(w[2])), err./exp(w[1])) .- w[1])\nphi(rho, nu) = phiexp([log(rho), log(nu)])\n\n@show init\nr = optimize(phiexp, log.(init), options); @show r\n@show w = exp.(r.minimizer)\n\nN = length(r.trace)\nwrho = exp.([r.trace[i].metadata[\"centroid\"][1] for i in 1:N])\nwnu = exp.([r.trace[i].metadata[\"centroid\"][2] for i in 1:N])\n\nrho = collect(logspace(\n log(10, minimum([init[1];w[1];wrho]))-1.0, \n log(10, maximum([init[1];w[1];wrho]))+1.0,\n 100))\nnu = collect(logspace(\n log(10, minimum([init[2];w[2];wnu]))-1.0, \n log(10, maximum([init[2];w[2];wnu]))+1.0, \n 100))\n@show phimin, i_phimin, j_phimin = findminimum(phi.(rho',nu))\n \nsleep(0.2)\nfigure(figsize=(7,3.5))\n\nsubplot2grid((1,8), (0,0), rowspan=1, colspan=4)\npcolormesh(rho, nu, log.(log.(phi.(rho',nu) .- phimin .+ 1.0 + delta)), cmap=cmap)\n#colorbar()\nscatter(wrho, wnu, s=0.3, color=\"black\", alpha=0.8)\nscatter(init[1], init[2], s=5, color=\"cyan\", marker=\"s\", label=\"start\")\nscatter([w[1]], [w[2]], s=5, color=\"blue\", marker=\"o\", label=\"end\")\nif r.minimum > phimin\n scatter([rho[j_phimin]], [nu[i_phimin]], s=10, color=\"black\", marker=\"x\", label=\"minimizer\")\nend\nxlabel(\"rho\")\nylabel(\"nu\")\nxscale(\"log\")\nyscale(\"log\")\nxlim(minimum(rho),maximum(rho))\nylim(minimum(nu),maximum(nu))\nlegend(fontsize=8, loc=\"upper left\")\nendstr = @sprintf(\"%.1f\", r.minimum)\nphiminstr = @sprintf(\"%.1f\", phimin)\nif r.minimum > phimin\n title(\"minimum = $phiminstr < end = $endstr\")\nelse\n title(\"minimum = end = $endstr\")\nend\n\nsubplot2grid((1,8), (0,4), rowspan=1, colspan=4)\nplot([0.1, length(err)+0.9], zeros(2), color=\"gray\")\nscatter(1:length(err), err, s=20, color=\"red\")\nxlim(0.1, length(err)+0.9)\nylim(minimum([-2.0;err])-0.5, maximum([2.0;err])+0.5)\ngrid(\"on\", ls=\":\")\ntitle(\"sample of size $(length(err))\")\n\ntight_layout()\n\nend #function",
"execution_count": 1,
"outputs": [
{
"output_type": "execute_result",
"execution_count": 1,
"data": {
"text/plain": "plotlikelihood (generic function with 1 method)"
},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "plotlikelihood(0.0, 0.0)",
"execution_count": 2,
"outputs": [
{
"output_type": "stream",
"text": "err = [-0.786569, 0.395677, 0.207789, 0.0, 0.604593, -0.593846, 0.0, -0.392223, 0.79749, -0.200906, 0.0184085]\ninit = [1.0, 1.0]\nr = Results of Optimization Algorithm\n * Algorithm: Nelder-Mead\n * Starting Point: [0.0,0.0]\n * Minimizer: [-0.7680984784606117,23.461265894332538]\n * Minimum: 7.159166e+00\n * Iterations: 66\n * Convergence: true\n * √(Σ(yᵢ-ȳ)²)/n < 1.0e-08: true\n * Reached Maximum Number of Iterations: false\n * Objective Calls: 120\nw = exp.(r.minimizer) = [0.463894, 1.5456e10]\n(phimin, i_phimin, j_phimin) = findminimum(phi.(rho', nu)) = (7.1640476828550765, 100, 47)\n",
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"text/plain": "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x0000000029A95198>)",
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"
},
"metadata": {}
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "↑ 最尤法は外れ値はないと思っている。"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "plotlikelihood(0.0, 0.05)",
"execution_count": 3,
"outputs": [
{
"output_type": "stream",
"text": "err = [-0.586569, 0.295677, 0.157789, -0.25, 0.454593, -0.443846, 0.25, -0.292223, 0.59749, -0.150906, 0.0184085]\ninit = [1.0, 1.0]\nr = Results of Optimization Algorithm\n * Algorithm: Nelder-Mead\n * Starting Point: [0.0,0.0]\n * Minimizer: [-1.0129492087029484,19.929779351481876]\n * Minimum: 4.465548e+00\n * Iterations: 78\n * Convergence: true\n * √(Σ(yᵢ-ȳ)²)/n < 1.0e-08: true\n * Reached Maximum Number of Iterations: false\n * Objective Calls: 149\nw = exp.(r.minimizer) = [0.363146, 4.52265e8]\n(phimin, i_phimin, j_phimin) = findminimum(phi.(rho', nu)) = (4.4655572657312685, 100, 44)\n",
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"text/plain": "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x000000002F665CC0>)",
"image/png": 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"
},
"metadata": {}
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "↑ 最尤法は外れ値はないと思っている。"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "plotlikelihood(0.0, 0.10)",
"execution_count": 4,
"outputs": [
{
"output_type": "stream",
"text": "err = [-0.386569, 0.195677, 0.107789, -0.5, 0.304593, -0.293846, 0.5, -0.192223, 0.39749, -0.100906, 0.0184085]\ninit = [1.0, 1.0]\nr = Results of Optimization Algorithm\n * Algorithm: Nelder-Mead\n * Starting Point: [0.0,0.0]\n * Minimizer: [-1.1586342897271034,19.72142007406846]\n * Minimum: 2.863190e+00\n * Iterations: 72\n * Convergence: true\n * √(Σ(yᵢ-ȳ)²)/n < 1.0e-08: true\n * Reached Maximum Number of Iterations: false\n * Objective Calls: 137\nw = exp.(r.minimizer) = [0.313915, 3.67201e8]\n(phimin, i_phimin, j_phimin) = findminimum(phi.(rho', nu)) = (2.8648950348636175, 100, 43)\n",
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"text/plain": "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x000000004FF34E48>)",
"image/png": 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"
},
"metadata": {}
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "↑ 最尤法は外れ値はないと思っている。"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "plotlikelihood(0.0, 0.1272)",
"execution_count": 5,
"outputs": [
{
"output_type": "stream",
"text": "err = [-0.277769, 0.141277, 0.080589, -0.636, 0.222993, -0.212246, 0.636, -0.137823, 0.28869, -0.0737057, 0.0184085]\ninit = [1.0, 1.0]\nr = Results of Optimization Algorithm\n * Algorithm: Nelder-Mead\n * Starting Point: [0.0,0.0]\n * Minimizer: [-1.1921374176398116,3.057742675023655]\n * Minimum: 3.017337e+00\n * Iterations: 59\n * Convergence: true\n * √(Σ(yᵢ-ȳ)²)/n < 1.0e-08: true\n * Reached Maximum Number of Iterations: false\n * Objective Calls: 117\nw = exp.(r.minimizer) = [0.303572, 21.2795]\n(phimin, i_phimin, j_phimin) = findminimum(phi.(rho', nu)) = (3.017376834721446, 69, 44)\n",
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"text/plain": "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x00000000501840F0>)",
"image/png": 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"
},
"metadata": {}
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "↑ 最尤法は外れ値があるのではないかと疑っている。"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "plotlikelihood(0.0, 0.13)",
"execution_count": 6,
"outputs": [
{
"output_type": "stream",
"text": "err = [-0.266569, 0.135677, 0.077789, -0.65, 0.214593, -0.203846, 0.65, -0.132223, 0.27749, -0.0709057, 0.0184085]\ninit = [1.0, 1.0]\nr = Results of Optimization Algorithm\n * Algorithm: Nelder-Mead\n * Starting Point: [0.0,0.0]\n * Minimizer: [-1.3064724880678864,1.8493892371956564]\n * Minimum: 3.027875e+00\n * Iterations: 48\n * Convergence: true\n * √(Σ(yᵢ-ȳ)²)/n < 1.0e-08: true\n * Reached Maximum Number of Iterations: false\n * Objective Calls: 94\nw = exp.(r.minimizer) = [0.270774, 6.35594]\n(phimin, i_phimin, j_phimin) = findminimum(phi.(rho', nu)) = (3.028105675975537, 64, 43)\n",
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"text/plain": "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x000000004FFEC4E0>)",
"image/png": 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"
},
"metadata": {}
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "↑ 最尤法は外れ値がありそうだと思っている。"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "plotlikelihood(0.0, 0.14)",
"execution_count": 7,
"outputs": [
{
"output_type": "stream",
"text": "err = [-0.226569, 0.115677, 0.067789, -0.7, 0.184593, -0.173846, 0.7, -0.112223, 0.23749, -0.0609057, 0.0184085]\ninit = [1.0, 1.0]\nr = Results of Optimization Algorithm\n * Algorithm: Nelder-Mead\n * Starting Point: [0.0,0.0]\n * Minimizer: [-1.6148579443014244,0.8789808010438811]\n * Minimum: 2.749224e+00\n * Iterations: 47\n * Convergence: true\n * √(Σ(yᵢ-ȳ)²)/n < 1.0e-08: true\n * Reached Maximum Number of Iterations: false\n * Objective Calls: 95\nw = exp.(r.minimizer) = [0.198919, 2.40844]\n(phimin, i_phimin, j_phimin) = findminimum(phi.(rho', nu)) = (2.7500518546820496, 54, 38)\n",
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"text/plain": "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x000000002F4F7B38>)",
"image/png": 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"
},
"metadata": {}
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "↑ 最尤法は外れ値があると思っている。"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "plotlikelihood(0.0, 0.15)",
"execution_count": 8,
"outputs": [
{
"output_type": "stream",
"text": "err = [-0.186569, 0.0956774, 0.057789, -0.75, 0.154593, -0.143846, 0.75, -0.0922233, 0.19749, -0.0509057, 0.0184085]\ninit = [1.0, 1.0]\nr = Results of Optimization Algorithm\n * Algorithm: Nelder-Mead\n * Starting Point: [0.0,0.0]\n * Minimizer: [-1.89280626224956,0.5020828057209691]\n * Minimum: 2.056169e+00\n * Iterations: 54\n * Convergence: true\n * √(Σ(yᵢ-ȳ)²)/n < 1.0e-08: true\n * Reached Maximum Number of Iterations: false\n * Objective Calls: 109\nw = exp.(r.minimizer) = [0.150648, 1.65216]\n(phimin, i_phimin, j_phimin) = findminimum(phi.(rho', nu)) = (2.0572754630916528, 47, 36)\n",
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"text/plain": "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x0000000051501F98>)",
"image/png": 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"
},
"metadata": {}
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "↑ 最尤法は外れ値があると思っている。"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "plotlikelihood(0.0, 0.20)",
"execution_count": 9,
"outputs": [
{
"output_type": "stream",
"text": "err = [0.0134308, -0.00432258, 0.00778896, -1.0, 0.00459308, 0.00615443, 1.0, 0.00777674, -0.00250959, -0.000905686, 0.0184085]\ninit = [1.0, 1.0]\nr = Results of Optimization Algorithm\n * Algorithm: Nelder-Mead\n * Starting Point: [0.0,0.0]\n * Minimizer: [-5.05779051958767,-0.621307971421309]\n * Minimum: -1.701760e+01\n * Iterations: 63\n * Convergence: true\n * √(Σ(yᵢ-ȳ)²)/n < 1.0e-08: true\n * Reached Maximum Number of Iterations: false\n * Objective Calls: 119\nw = exp.(r.minimizer) = [0.0063596, 0.537241]\n(phimin, i_phimin, j_phimin) = findminimum(phi.(rho', nu)) = (-17.01410070082825, 35, 26)\n",
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"text/plain": "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x00000000502A4E48>)",
"image/png": 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hY8eOHlcY9/tV/INREAS8+uqrAdO1evVqzJw50+Mnu3LlSnAc53PwN3XqVOTk5OBvf/tbsx+H1dXV4Hle9gSuQYMGISkpCatWrcKsWbM80/iff/45Dh06hGeffVZzH9TcWykOHjyI++67D9OnT8fDDz8sWWbq1Kl47rnnsHnzZowfP94rr6ysDNHR0XQAUIhD/x0i6Fx++eUYOnQonnjiCZw7dw4JCQl4//33TT1y1KgB2ujRozF79mwsWbIEP/zwA8aNGweHw4GCggKsX78er776qubB1h//+Ee8++67uP766/Hwww97tt9KTU3F/v37Fesb5SOrxKJFiwC49rwFgHfffdfjD/f00097lXU6nVi3bh2GDh0qu+VOcXEx+vTpg8zMTK89H5cvX45JkyZh3LhxuOOOO3Dw4EG8/vrruO+++9CnT58A9IwglKmoqEDnzp0xZcoU9O/fH9HR0diyZQv27dvn2Tu7d+/e6N69Ox577DEUFxcjNjYW//73v1WvQ9BDXV0drr32WkydOhVHjhzBG2+8gauvvlp2oRcA3H333fjggw8wZ84cbN++HSNGjIDT6cThw4fxwQcfYPPmzc22wHPjcDiwbNkyzJw5E6NHj8add97p2X6ra9euePTRRzX3Qc29lcI9EzVq1Cj885//9MobPnw4unXrhj/84Q/45JNPcOONN3q2PqyqqsKBAwewYcMG/Pzzzz63JTx+/LhnQfS3334LoPFZmJqairvvvttT9tNPP8WPP/4IwPVDff/+/Z6ykyZNwpVXXqn11hCggSwRIqxduxazZ8/G0qVL0bZtW9x7770YM2YMrrvuumBL08yqVauQlpaGN998E08++STsdju6du2K6dOnY8SIEZrbS05Oxvbt2zFv3jwsXboUl1xyCebMmYOOHTt67QgRbJ555hmv12+99ZYn3nQgu2XLFpw+fRpPPfWU5uvceOON+PDDD7Fw4ULMmzcPiYmJePLJJ3VZegjCKKKiovDQQw8hNzcXH374IXieR48ePfDGG2949uF2OBz49NNP8bvf/Q5LlixBREQEJk+ejLlz56J///4B0fX6669j7dq1ePbZZ1FfX48777wTf/3rX326DFitVnz00Uf4y1/+gnfeeQcbN25EVFQUunXrhocffljRb3TGjBmIiorC0qVL8ac//Qlt2rTB5MmTsWzZMl2neKm5t1KcOXMGVVVVki5Hb7/9Nrp164aoqCh89dVXePHFF7F+/Xq88847iI2NxWWXXYaFCxd6WYGlKCoqavbsc78ePXq010D23//+N/7xj394Xufn53v2vu7cuTMNZHViEYxcVUIQBEEQRNBxH0qwb98+WespQbQE6IhagiAIgiAIgkloIEsQBEEQBEEwCQ1kCYIgCIIgCCYhH1mCIAiCIAiCScgiSxAEQRAEQTAJDWQJgiAIgiAIJqF9ZH3A8zxOnjyJmJgYzcf0EQRBAK6TmyoqKtCxY0dYrS3TdkDPSoIg/EXvs5IGsj44efIkUlJSgi2DIIgWwIkTJ9C5c+dgywgI9KwkCMIotD4raSDrg5iYGJkcm0y63O2USpcrK9W2Ee0q/asDdV1/21VzPZtMulSaVD25fKm4+FoRCu1GyJSVaiNcpi25a4RLpCn10wicEmmcTFyqjFy+v+0qpam5ht52la5RA+A5H88T9nH37cSJE4iNjQ2yGoIgWKS8vBwpKSman5U0kPWB/BSZEelyZaXM6XImdn/LipEa7MgNgLSUNWKwrWVwqqesloGs1GBSrqzcQFZqoKqUL5euRbsRKA3w9A5k/W1XKS2QZdWVaclT7u6+xcbGMjGQra+vR25uLsaNGweHwxFsOZpgVTvpNh9WtWt9VtJAVhP+DspaSlmz9WgZnCrlaxngKQ1kteiRK6slnz6uBGEEdrsdI0eOhN3O3meKVe2k23xY1q6Flt07giAIgmiCxWJhwnIsBavaSbf5sKxdCzSQ9YPIyEgkJnaQMYNL3VotU/VafE61TOsbUda1uvDMmTJUV0v5BBIEQYQu9fX1yMnJwcSJE5macgXY1U66zYdl7Vqgk70kyM7ORnZ2NpxOJ44ePQrXgE48WLWjX7/L8dRTf0RcXKwKfw4t/h5mtqW/niAIuHChCosX/wsHD/7cJNcMVwelekaUVfJ71VtWyndWi1+sOJ18ZNWlBbKsUpkaAI/jwoULLdY6Ul5ejri4OGb6KAgCampqEBERwZzvMqvaSbf5sKZd73OEBrI+cN/UpgPZyMgYvPXWKlx6aVfYbGpWhGtZ7GVRyFfbvj/11LXndNajqOhXzJr1Z1RX14lyaCDruywNZI1vVyktkGWVytBANtQQBAEcx8FutzPxBS+GVe2k23xY0673OdIyd+cOGHYAdiQmtkNcXGzDINYiE6yiIJWmFOTalbqG3HXFwaYhqKtvs4UhLq4NEhPbeu5N80GTVLqaskpBSz2911BqS6ldpfugJl9LPTU6jYSDusEdQYQWHMchJycHHMfe+5dV7aTbfFjWrgUayOrAYrEw8evGDOheEATBGna7HRMnTmRyNTer2km3+bCsXQs0kG3BnDxZjH//+wPd9Y8cOYTc3BwDFREEQYQGLFupWNVOus2HZe1qoYGsKqSmxt2ocQGQCpBpQwmpstLXKCk52TCQVaPBG47jcPToEeTmfq5Crw3+T9kb7Q7gb32jryeXrxczXQgIomXBcRxyc3OZ/JJnVTvpNh+WtWuBvglN5pfwMFwULRCLcjrRpbbe73ZramqwcOHTOHasAHa7HQkJl+DUqVM4deokpk37f+jQIRmvvJKNFSuW4/vv94HjOERHR+PJJxeia9dLAQDp6ZfjvvsexK5deejevSf27fsGlZWVmDZtMq64oj+eeOI5v3USBEEEG4fDgZtvvjnYMnTBqnbSbT4sa9cCDWRVYYe3VVK8yEuM710AfgkPw/+7ok+z3H8fOIwutXWSdeTaapr29de7UFlZgQ8++AQAcOHCBRQWHsXLLy/Fe+996CmZmXkvHnnkDwCA3NwcvPzyErz22mpPu1arDe+8sx4A8OmnH+Grr7biz39+XUaD+x64LbJSSKVrKaumDS35Rr7ltbRrxP0hCMIIBEFARUUFYmJimPPxZ1U76TYflrVrgVwLTOSizFZdcula6NmzF4qK/oelS19Abu7nss7de/bsxqxZ03D77Tfj739fiaNHD3vlT5p0q99aCIIgQhmO47Bjxw4mp1xZ1U66zYdl7VqggWwLoXPnFHzwwScYNuxq7N+fjzvuuAXl5eVeZU6dOonlyxfj+eeXYt26j7F48Z9RV+dtCY6KijJTNkEQhOk4HA7ccMMNTJ52xKp20m0+LGvXAg1kNSG1wEbLAi4ti7m0XeP06dOwWCwYPfoaPPzwHyAIAuLi2qKqqtJTurKyEna7A+3aJUEQgA8++JfENRvbbNMmGpWVFU2uL6VF7WKmYC3ECtQiMDn0LPbS2i5BEHrheR7nzp0Dz/PBlqIZVrWTbvNhWbsWaCArQXZ2Nvr27Yv09HRD241yOjWla6GwsAD33jsd06ZNxl13TcHEiZNw5ZUD0K1bD9x++82YPz8LPXpchuuum4Dbb5+EzMyp6NAh2WebgwcPQ11dHe68cxKWLFngt0aCIIhQwOl0Yt++fXAa8Ow1G1a1k27zYVm7FuiIWh80HlEbB7EFMjW1K1atWoZ27RIhb3GVtr6q37VAjSXX32NstS0oa44TZ8+WYs6cv+P48bOidKMXfumpp6VdNQvD9JRVc5yt1BG1Uvn+6DESpWNj6Yja5tARtQRBEErQEbWM0KW2Dr0vVntC890KCIIgiEDC8zxKS0uZnHJlVTvpNh+WtWuBBrIEQRBEq4LneRw8eJDJL3hWtZNu82FZuxZoIKsKqZOrtJzcJUWgTgHTe9KYP/0xa4FWMBeG6em3mnp68ls6HNRN4xNGsWTJEqSnpyMmJgZJSUm45ZZbcOTIkWDLChh2ux3XXHMNk2fQs6qddJsPy9q1QANZgiCIVs5XX32FrKwsfPPNN/jiiy9QX1+PcePGoaqqKtjSAgLP8yguLmbSUsWqdtJtPixr10LLHqYTBEEQimzatMnr9Zo1a5CUlITvvvsOo0aNCpKqwMHzPI4dO4b27dvDamXLnsOqdtJtPixr10LL7VlAkJruVTP9rtd1QO0Uv9629F6jaVkp1wszp/315Gt1ATDS9UCprBm0dvcFwhcXLlwAACQkJEjm19bWory83CsA8Gzz43Q6JeMcx3nF3ZYiuXh9fb1X3L3JjjsuCEKzOACvOM/zXnGO42C323H11Vd7+uNOd+sVx0OtT27t7npi7XLxUOiTIAgYOXIkbDab6v9TKPTJbrdj2LBhsDXsNuTve8/MPtntdgwfPtwziA3U58nIPumBBrIEQRCEB57n8cgjj2DEiBHo16+fZJklS5YgLi7OE1JSUgAABw8eBAAcOnQIhw4dAgDs378fBQUFAID8/HwUFRUBAPbu3YsTJ04AAHbv3o2SkhIAQF5eHs6edW3nt23bNpSVlQEAcnNzUVFRAQDIyclBTU0NOI5DTk4OOI5DTU0NcnJyAAAVFRXIzc0FAJSVlWHbtm0AgLNnzyIvLw88z+PAgQPYvXs3AODEiRPYu3cvAKCoqAj5+fkAgIKCAuzfvz+k+sTzPA4fPtysTwBQUlIS0n0qKirCxYsXVf+fQqFPPM9j06ZNnh9r/r73zOwTz/PYunUrSktLNf2fgtknPdA+sj5o3Ec2CeIxf2pqKlategHt2iXB/71Ym6br2RvWCA0uxo4dgnfe+RAdO3ZWUc+Js2dPY86ctTh+/Jwo3ZfVUU2aP2WV6mnJl4obUVZqb1gtZeXqQSJfDnG+0sIqI/dlVdNWKOwN23r3kX3wwQfx+eefY+fOnejcuelzwEVtbS1qa2s9r8vLy5GSkoJz584hPj7eY12x2WxecY7jYLFYPHGr1Qqr1Sobr6+vh81m88TtdjssFosnDsBjYXXHHQ4HBEHwxHmeh9Pp9MTdFqk9e/YgLS0NERERnnS73Q6n0wlBEDxxqX4Es08Wi0VWu1w8FPpUU1OD77//HoMHDwYAVf+nUOgTz/P45ptvMGTIEDgcDr/fe2b2ied57NmzB+np6QgLCwvY58moPlVVVenaR5bmFQmCIAgAwNy5c/Gf//wHeXl5soNYAAgPD0d4eHizdPf0q0106Is4Ll49rSYuPiNeS9xisXji7i/3pvERI0Z46onT5bSHUp/ktMvFQ6FPkZGRXrqb9klNP4LRJ6vV6uWGYsR7z6w+Wa1Wr3seyM+TUX3SAw1kWxD//e8BvP76y6iqqoTTyWPmzNno27cf7rprMu64427s3PklKisr8dhjT2PEiNEAgK++2orXX/9zgx/QyCD3gCCIYCAIAubNm4eNGzfiyy+/xKWXXhpsSQHF6XSiqKgIl156qd9fombDqnbSbT4sa9cCDWRVYYe3O7EN+lwHLOA44O23E/Hjj1Ho3/8iZs48A7tdyZ1A2XWgoqIcL764AK+++ibatUtCWdl5TJ9+KxYvfhmVlRXo2bM3Zs9+GLt35+HllxdjxIjROHfuN7zwwpNYvXotunXriQ8/fB8XLpRp6k8jZrsI6K0XCq4FUmgpqxf6uBPSZGVl4b333sPHH3+MmJgYnDp1CgAQFxeHyMjIIKszHkEQcP78eXTt2jXYUjTDqnbSbT4sa9cCfbOZzNtvJ+Jvf0uEIFiwd28bAMD995/1u939+/NRXHwCv/vdA17px48XITw8HGPGjAMAXHnlQBQXuxzCDxz4AT16XIZu3XoAAG6++Tb8+c8v+K2FIAi2WLlyJQAgIyPDK/3tt9/GjBkzzBcUYOx2O9LT04MtQxesaifd5sOydi3QQFYTUrdLzUKtxvQff4yCILheC4IFP/4YpVhHzfUEAejWrQfeemudV+mTJ3+FwxEGi8VV1mp1O1Y330rLYrGK2lXaikv8V2lbKTVpTdONXBimVE+LlVUvgWqXIPynta35dTqdKCgoQM+ePZmbcmWms4DbAAAgAElEQVRVO+k2H5a1a4G235IgOzsbffv2Dcgvmf79L8JicX1pWCwC+ve/aEi7V145ECdPFmPPnt2etCNHDnn2e5OrU1h4BD//fAwA8MknG3yWJwiCaClUV1cHW4JuWNVOus2HZe1qIXOQBFlZWcjKyhJtv2UcM2eeAQCRj6z/bgUAEBsbhxUrVuHVV1/Cq68uBcdxaN8+Gb///ZOydeLjE/DMMy/iD3/IgsMRhmHDRiIuLt4QPQRBEKGKzWbDwIEDgy1DF6xqJ93mw7J2LdA+sj5oHMh2gct47Rr3p6Z2xKpVzzTsIytn1Na+h6t3mdDfc9a1j+wpzJmzHsePV8iU8ddFQJxutmuBlrKBWhgWqAVlYmgfWf/KKpVhax9ZPbiflaz00el04tChQ+jTpw9zU66saifd5sOadr3PEXItIAiCIAiCIJiEXAtUoWf7LT3WUrl6WtrVa3H1x7prg/GLvaTSzbDIKrURKhZZIxG3q8bqSBBsY7PZZI/fDXVY1U66zYdl7VogiyxBEATRqnA6ncjPz/ccjckSrGon3ebDsnYt0EBWB4IgtLrtaqQRIAiurb8IgiBYguWDHljVTrrNh2XtaiHXAk24bteZMxW4cKEKCQkcbDaHTFmp0Z2W6XultuTaNXIxl6+2BDidNbhwoQZnztSAXAvMRsu16WNOEGJsNht69+4dbBm6YFU76TYflrVrgb7hdFBdXYvFi9/GU0/NRFxcG89hA/oHhlrK6B0MG9muBYIg4MKFGixe/CWqqznQW4kgCFbgOA75+fkYOHAg7Ha2nl2saifd5sOydi203J4Zig1NFzQdPHgMs2a9gMTEdqKBbNM6bqRus00mLlVHbtsMu0K+kRq86wmCgDNnLooGsS3lZC+lNsxeGKYEfYQJQisWiwXx8fEyz+7QhlXtpNt8WNauBfoW9IPq6lr88stpmVwtgzIzB2J689WkEwRBhD42mw09evQItgxdsKqddJsPy9q1QIu9CIIgiFYFx3HYvXs3OI697eZY1U66zYdl7Vog05oq7JCfpjfDGsqCRdZsdwEtZY2op6esEQvD6CNKEEZjtVrRqVMnWK3s2XJY1U66zYdl7Vqgb0mCIAiiVWG1WpGamhpsGbpgVTvpNh+WtWuhZQ/TDcPuI6gppzZfroxaLaESIkQh2FqMCnruvxxG1FNCS1mCaF1wHIe8vDwmp1xZ1U66zYdl7VqggSxBEATRqrBarejevTuTU66saifd5sOydi2QuYYgCIJoVbh9B1mEVe2k23xY1q6Flj1MNxy908rBnhYPZGhpLgR6gxRG1JNDKZ8gCDk4jsO2bduYnHJlVTvpNh+WtWuBBrIEQRBEq8JqtaJfv35MTrmyqp10mw/L2rXQKkw6kydPxpdffolrr70WGzZs0NGCHU1P9vLOk4pLlVHK11tWTb4e7Vr6ppRmVlkjrxGo/7eWslo+oq3i40wQfmO1WpGUlBRsGbpgVTvpNh+WtWuhZQ/TG3j44YfxzjvvBFsGQRAEEQLU19dj8+bNqK+vD7YUzbCqnXSbD8vatdAqBrIZGRmIiYkJtgyCIAgiBLDZbEhPT4fNZlMuHGKwqp10mw/L2rUQ8gPZvLw83HTTTejYsSMsFgs++uijZmWys7PRtWtXREREYMiQIdi7d6/BKtxuBVoW7hi5eCjYC5n8CVJ7ysrtM6uUrqasmUHpf6SU78udQKkNgiD0YrVakZCQwKTvIKvaSbf5sKxdCyHfu6qqKvTv3x/Z2dmS+evWrcP8+fOxYMECfP/99+jfvz/Gjx+P0tJSk5USBEEQLFBfX4/PPvuMySlXVrWTbvNhWbsWQt60M2HCBEyYMEE2/5VXXsH999+PmTNnAgBWrVqFzz77DG+99RYef/xxTdeqra1FbW2t53V5eXlDrKkVTC4ODWW0tBdqZaXS1dwHtW0Z3YaRZfW2pbXPagnlj3DL3vKFYBe73Y6RI0fCbg/lz480rGon3ebDsnYthLxF1hd1dXX47rvvMHbsWE+a1WrF2LFj8fXXX2tub8mSJYiLi/OElJQUI+USBEEQIYDFYkFsbCwsFkuwpWiGVe2k23xY1q4FpgeyZ8+ehdPpRPv27b3S27dvj1OnTnlejx07FrfddhtycnLQuXNn2UHuE088gQsXLnjCiRMnAqqfIAiCMJ/6+np8/PHHTE65sqqddJsPy9q10LLtzQ1s2bJFVbnw8HCEh4dL5LQk1wKj9fpKM6qelvxQdS0wsqyvdIIglLDb7Rg3bhyTU66saifd5sOydi0wbZFt164dbDYbTp8+7ZV++vRpdOjQIUiqCIIgiFCH5S93VrWTbvNhWbtamB7IhoWFIS0tDVu3bvWk8TyPrVu3YtiwYbrbzc7ORt++fZGent6Q4s8WTE0tkkpBS9lABzVbXJm5NZaWbbsCpUGMUnqgyrb8BxNBBBKO45CTk8PkGfSsaifd5sOydi1YBEEQgi3CF5WVlSgsLAQADBw4EK+88grGjBmDhIQEdOnSBevWrUNmZibefPNNDB48GCtWrMAHH3yAw4cPN/Od1Up5eTni4uIAZKD5IFMKpTJy+XrL6qmnRbsR/VRKN7tsqOnxt6zRSD3w5B6CSmX1tmWkBjPKKpWpAfA4Lly4gNjYWBVtsIf7WclKHwVBAMdxsNvtzC2EYVU76TYf1rTrfY6EvGnn22+/xZgxYzyv58+fDwDIzMzEmjVrcPvtt+PMmTN49tlncerUKQwYMACbNm3yexBLEARBtFzcX/Aswqp20m0+LGtXS8i7FmRkZEAQhGZhzZo1njJz587F8ePHUVtbiz179mDIkCEBUmPkFLUZU+5G1jPyGkac7GX2vQpUcCOV5iudUAcnCgThguM45ObmMjnlyqp20m0+LGvXQsi7FgSD7OxsZGdnw+l04ujRo2h0LXAPJuQGFU0HJmrz9ZbVo0fpunrLKl1XqY6edCOvoaeeEWX1tBVIWpprgdIDnFwLjIA11wKCIEKPFutaEAyysrKQlZUl8pFtahVriQNZI/UqpasZIGtpQ026nrb8rWf0YJogCCMQBAEVFRWIiYlhwndQDKvaSbf5sKxdCyHvWkAQBEEQRsJxHHbs2MHklCur2km3+bCsXQvkWuCDRovsWJBFliyyxlzLn3pmQK4F2jUolSHXAoIgCCXItSCg2CC/4MaMgaGWgayR7Wqt5ystkGX9rae3XX+vq7es1vIt+9e4i9bQR8IoeJ5HWVkZ2rZtC6uVrYlJVrWTbvNhWbsWWm7P/KD5gQgEQRBES8HpdGLfvn1wOp3BlqIZVrWTbvNhWbsWyLXAB42uBTcAcED/NHmgLaeBsrLq7ZvcNdS2pTbdrHyzrmFkPSn0To0HyrXAyIMLtLTlK12PBqUyoe9akJeXh+XLl+O7775DSUkJNm7ciFtuuUV1fXItIILK0aPAsWNAjx5Az57BVkPoRO9zhCyyBEEQrZyqqir0798f2dnZwZZiCjzPo7S0FDzPB1uKZljVHhDd584B118P9OoFTJwIXHaZ6/X584ZdgtX7DbCtXQs0kCUIgmjlTJgwAYsWLcLkyZODLcUUeJ7HwYMHmfyCZ1V7QHRPmwZs2eKdtmULcOedhl2C1fsNsK1dC7TYSxV2UZDKk4pLlTHbBSBYuxYE0s3AqHy1ZUKpLEGEBrW1taitrfW8Li8vBwCPL577r81m84pzHAeLxeKJW61WWK1W2Xh9fT1sNpsn7j4z3h0HvI/g5DgODofDc8a8w+EAz/NwOp2eOM/zsNvtyMjI8HzBi9OdTicEQfDEpfoR7D5lZGR4NIi1y8VDoU+CIHiOm6+vr1f9f5Lt0+HDELZvh93phNNuB6xW2Orq4LRagW3bYCsogLNbN7/7ZLfbMXLkSNhsNo92f997Zv2f7HY7Ro0a5VnoFcjPkxF90gtZZAmCIAhNLFmyBHFxcZ6QkpICADh48CAA4NChQzh06BAAYP/+/SgoKAAA5Ofno6ioCACwd+9enDhxAgCwe/dulJSUAHD56549exYAsG3bNpSVlQEAcnNzUVFRAQDIyclBTU0NOI5DTk4OOI5DTU0NcnJyAAAVFRXIzc0FAJSVlWHbtm0AgLNnzyIvLw88z+O///0vdu/eDQA4ceIE9u7dCwAoKipCfn4+AKCgoAD79+8PqT7xPI+CgoJmfQKAkpKSkO7TiRMncPHiRdX/J599KixE/sMPu/o0ZQr233+/q0/Tp+PQ9OlAYaEhfeJ5Hps2bfL8WPP3vWfm/4nneWzduhWlpaWa/k/B7JMeaLGXBM2PqL0Z5i32Ious73Sj8tWWCaWy/kKLvZTT9WhQKhP6i73EWCwWxcVeUhbZlJQUnDt3DvHx8SFlvZSyIAHArl27MGTIEERERISc9dJXnywWi6z2ULbI1tTUYO/evRg+fDgAGGOR7d8f9ro6b4usw+Hqx3//a4hFlud57Nq1C8OHD4fD4QgZ66WaPrm1Dxs2DGFhYSFvka2qqtK12IsGsj5o3LXg/8H8gayaAV6gBrL+apAr6ytNT7rafL1l/a0Xam4DNJBVTvdHgxwtbyDbFNq1gAgK11/v8okVT03bbMDYscCmTcHTReiCdi0gCIIgCBXwPI/jx48zuQiGVe0B0f2vf7kGrWLGjnWlGwSr9xtgW7sWQs1kFKKYebJXoK2sWvQY0a5UuhHT/qFqhTXrGnSSFWEclZWVKCws9LwuKirCDz/8gISEBHTp0iWIygIDz/MoLi5Gp06dmDvxiFXtAdEdH++yvBYUAIWFAdlHltX7DbCtXQvkWuCDRteCqQDCQANZPe1KpdNA1v9r6BnIkmuBcro/GuQIfdeCL7/80rOiXExmZibWrFmjWJ9cCwiC8BdyLSAIgiB0kZGRAUEQmgU1g1gWcTqdKCwsZPLoTla1k27zYVm7Fsi1QBV2UZDKU4prKWvmAi69ZSGRrqWsUpqeMnrKmtmW0UhpU7IMiusY6ZpgtpsDuVUQ/iEIAs6fP4+uXbsGW4pmWNVOus2HZe1aCOVv6qAh3n6LIAiCaFnY7Xakp6cHW4YuWNVOus2HZe1aINcCCbKysvDTTz9h3759DSl2Cl4hQiHIlfWV5qtdtddt2p6//THznoopBfBuw1+CIIzG6XTi8OHDTBorWNVOus2HZe1aoIEsQYQcmwFsafhLEEQgqK6uDrYE3bCqnXSbD8va1UKuBQQRcoxv8pcgCCOx2WwYOHBgsGXoglXtpNt8WNauBRrIqkJuChhN0tTE1ZbV0m5EgNo1um++0vSUMbKev/i7AEmsuyOAmTquIW6DFkRph+5Za8HpdOLQoUPo06cPbDZbsOVoglXtpNt8WNauBXItIIiQphTAOyB/WYIgCIJoDllkVdHUIit324JlDQ0F6y105svBwltTbMHTq1fJCrgJQC6ACgAxAK4HkKSiHkEQcthsNvTr1y/YMnTBqnbSbT4sa9cCWWQJIqS5HsC4hnguXANbgiD8wel0Ij8/n8nV3KxqJ93mw7J2LbBg9jId2keWCB2SANwDl2uB2yJLEIS/REZGBluCbljVTrrNh2XtarEIgiAEW0So4j73F3gQQDjYcC1Qch1Q026EhrJqNcqVVYORv7f8nZLXW19LvaZlSwGsb4iPAfAtlF0MlK6npZ5SWTVt6Wk3UG1pbUPvNdzUAHhc8/nhLKH3jHSCIAg3ep8j5FpAECHPJgAbG8IrAN4C8CRoARhB6IPjOOzbtw8cx56vOavaSbf5sKxdC+RaoApfi720WGeNsMhKWVyNtrLqWRgGnflmI3XtQH3I1SwGk7q2uOxJuBZ6XQcgGkAlgP0ACuEa4E6TabclbMXFqm4i1LFYLIiPj4fFYgm2FM2wqp10mw/L2rVAA1mCCGk2AfgargVfbl/Z6Ia8QXAdZTseLjcDgiDUYLPZ0KNHj2DL0AWr2km3+bCsXQvkWkAQIUspXNbYYWhc5JUEIKshfAs6ypYgtMNxHHbv3s3klCur2km3+bCsXQtkkVWFWtcCIxZE6XEB0LLYS4u7gN49ZyGRr5QWSMw+Ecvdhpp27T7ycwB8A5fFtaNEmesBOGHuUbYt+4FItA6sVis6deoEq5U9Ww6r2km3+bCsXQs0kCWIkKIUrgHsxIYA0d+mJAG42wxRBNGisFqtSE1NDbYMXbCqnXSbD8vatdCyh+mGEQ6XddKuM0RoCP62pfe64hDdEPyt792GBW0aQnjAg7r7oPf/KRXE+EprGk7DtQvBbw2vN8HlKpAD10B1Bnz7v8ppIAhCDo7jkJeXx+SUK6vaSbf5sKxdC/TtRxBB5TM0ntY1C8ANAHjIW2EJgvAXq9WK7t27Mznlyqp20m0+LGvXAg1kCSKo3NDkb3u4rLB6KYXLoks7GRCEHG7fQRZhVTvpNh+WtWuhZQ/TdZKdnY2+ffsiPT29IaXpFLWRU9JaXQj8dV0ITBBP69th84RwUQgDmoVIDUGqftNgawhiDRaZoM91QMmdQE1ZMZ0APADXAFbPNZqyGbSTAUH4huM4bNu2jckpV1a1k27zYVm7FmggK0FWVhZ++ukn7Nu3L9hSCEIj4wGMhbk7GRAEW1itVvTr14/JKVdWtZNu82FZuxbItUAVTS1hTa1uUvGm9ZvmK21tJdeuVD25tvwt25jvWkDlwiYqafOR1hS5dLU4NZQRl7VJ5ItzpNIAQFB1RbWcAvApgJsAtDOw3aYYtZOB3l/wZtczg1DWRujBarUiKYlN1xtWtZNu82FZuxZa9jCdIEKGT+Fa2PVpsIUQRKunvr4emzdvRn19fbClaIZV7aTbfFjWrgWyyBKEKdzU5C9BEMHCZrMhPT0dNpu/80Tmw6p20m0+LGvXAg1kVaHHtUCLu4BUXJ8LgHe+f64FdtE0u5zrQJhES2KkPj5qPlJKk/rifPHEr00iX52bgdQ1xG4GSohV2CXSOgC430c9u0Sar3SCIPRitVqRkJAQbBm6YFU76TYflrVrgVwLCIIgiFZFfX09PvvsMyanXFnVTrrNh2XtWiCLrCrEJ3s1Ra9FVstiLyUrql6LbGPcIrI+hjX5C3hbMu0S6XIWWyMmNKQsp3JWVql8TiZdmwbXVbwXgMl9fKSsrFL54jJara166xEEYbfbMXLkSNjt7H0FsqqddJsPy9q1QBZZgjCcUwBWNvwlCCLUsFgsiI2NhcViCbYUzbCqnXSbD8vatUADWYIwnI1w7U6wMdhCCIKQoL6+Hh9//DGTU66saifd5sOydi1YBEFQXsfSSikvL0dcXByAv8B1tpQZi72U3AX0uhY0L2uXcCcQx+0SaYD0Yi+j945VcidQisvli+Ek8rW0K7/P7Am4BrGT4FrkJb6anAqlfLkySvlq6unVo0eDkRr1ljWqDbVt1QB4GhcuXEBsbKxCW2ziflay0kdBEFBTU4OIiAjmrFWsaifd5sOadr3PkZbtOEEQQSEZwEMg/1WCCF1Y9htkVTvpNh+WtauFXAtUYTcoRAQoRIuCdBkLwmFBOMJh84RIwBOiJEKkTBBfTapejChI5WsN4Q0hzIBgEwX3f8WmM1hg8wRlmm7hFgj0XoMTBT31CIItOI5DTk4Ok2fQs6qddJsPy9q1QANZgiAIolVht9sxceJEJq1VrGon3ebDsnYt0EBWguzsbPTt2xfp6enBlkIQBEEEAJatVKxqJ93mw7J2tdBAVoKsrCz89NNP2LdvX0OKex9Zf4MaNwN/3RAaJ/7tCPcEKRcBJTcCJRcCX+4HUm1IBaX6cnrDod7lQMlFQPxfMcbNQMqtRAk1Zc1wTzgL4P2Gvywg5d6g11WCaC1wHIfc3Fwmv+RZ1U66zYdl7VqgXQt80LhrwWq4hk9G7lqgdCCC0sEG4nTpslK7Eoh3HwgXxaV2LRCnKe1goPdABLl1/0o7BtSJ4lIHHsiVVWq3aVs8SsBhA6yYAguSVe1w0LibgdxqfiN3IjB6t4P3AXwJYBSAqX62K5Vu9C4CWuoZcT09bdGuBQRBEErQrgUBpaklTMs2WuJ0LWX1DWSVttSKkkhrGg9XyJcayEqd9tUUd7qawat4GFAnkW+TyBeXqRWlhUnkN60np4fDBnDYCCsAB+Yp1NBDqJ3QNbbhb4YBbRnZJyPaCpV7TAQbQRBQUVGBmJgYJrYlEsOqdtJtPixr14KugWxeXp7P/FGjRukSQxChhh1TAADWhr8tn3YA7gAN+oiWDMdx2LFjB8aNGweHwxFsOZpgVTvpNp+Aaj96FDh2DOjRA+jZ09i2NaJrIJuRkdEsTTzadzr1nmhPEKGFFckIwzxZKzJBtCSys7OxfPlynDp1Cv3798drr72GwYMHB0dMAL8oHUVFuMFqBX7+2fgv4QB/wTscDtxwww2GtwuA3XseQJh+rwRC+7lzwLRpwObNjWnjxwP/+hcQH2/MNTSia7HX+fPnvUJpaSk2bdqE9PR05ObmGq0xBAjUwi7/FnNZ0AYWtDFkb1jx3q9Si7JiFEKcKIjridOlFoCpWdglpV1pgZd4MZjeBVz+LvxSt7cwC9Diqea0vHuybt06zJ8/HwsWLMD333+P/v37Y/z48SgtLTVXyLlzwPXXA716ARMnApdd5np9/rxhbfN9+uDco4+C793b8LYDolsEz/M4d+4ceJ43rlFW73kgYfm9Ekjt06YBW7Z4p23ZAtx5p/9t68TQxV5fffUV5s+fj++++86oJoNK42Kv9+DfYq/mx8Pq95FtjFsavFmVfF3F6ZEyZaV8Z9UsDLNJpEEiH9B/7Kzbl1XKb7Zp3CmRViuRLy4jd12pelqOsxVkvX6l4loWg8nVk8qXK2PG0bdGHjsbrKNmtV5DKp+NxV5DhgxBeno6Xn/9dQCuAVNKSgrmzZuHxx9/3Gdd97PyzJkz/vfxlluA7dsB8cyezQaMGQN89JEhbdc7HPjq5Zcx+ve/h6O+3tC2A6JbRH19Pb766iuMHj3auOliVu95IGH5vRIo7YWFwIAB8vk//gh07667+fLyciQmJmp+Vho6kD18+DAGDRqEyspKo5oMKo0D2Q8gP5BV2n1AHFdatCVXtvngFZAecCot5hLnKw1qw2TKigen4RJpWnYqUBo4Ao0DTrnBqdSgVm5Rl1Q9NTsccAr5gRvIQia9JQ9kjRwA6y3rbz22BrJ1dXWIiorChg0bcMstt3jSMzMzUVZWho8//tirfG1tLWprGz9N5eXlSElJweOPP46IiAgQBEFopaamBkuXLjVn14L9+/d7vRYEASUlJVi6dCkG+BqtEwRBECHH2bNn4XQ60b59e6/09u3b4/Dhw83KL1myBAsXLjRLHkEQhCy6BrIDBgyAxWJBU2Pu0KFD8dZbbxkijCAIgghNnnjiCcyfP9/z2m2RfeSRRxAfH+9Z8Guz2bziHMfBYrF44larFVartTH+v/+BGzoU1ro6WHke9RERsLnjkZGwf/01LD16oL6+3nPsJsdxXnGHwwFBEDxxnufhdDrhOH4c/FVXgQ9zzTXtXLQIQ59/HhHl5eDtdvD79sHesyecTicEQYDdbpftR7M+/e9/sF11FbjwcFidTlg5zhXnOFidTnD5+bB27w6r1Yr6+nrYbDZP3G63w2KxqO6TxWLBzp07MXToUERERIDnefA8D7vdLhv32adjx2C76io4w8IAnoeN48CFhcHijou0S/7PfPXpyBHYBw0CBAE1bdtiz9NPY8QzzwAAHNXVEH74AVxqqvf/qSHuV5/0vPeavA/rhw6Fra4OfFgYdi5ejBFPPw1HdbXnfYju3dW/98R9+vln8Glp4O122GtrXe89mw322lo47XYIovehrj7973/ghgyBlePAOxzYuXgxhj/zDMIuXnR9nr75BlbRZ0jLe8/hcICfPBnO3bvhqKoCb7WCDwuDvb4e/LXXgv/gA7/+T1VVVVi6dKnm55Eu14Ljx497vbZarUhMTGxxU0qNrgUfA2gDffvBiuNqXAua+9NKuRMAjdP9cv6rYneAKIk0OZeESImySocnqHEtUPIzlfN7rZVIq5bIF5dRakucrsa1oFYiTale6LkWGOEicBauAxMyALT1s10119NSz8iy/tZr2a4FTTH0QITrr3ctHmnqPzh2LLBpU+tsO9DQfWkOy/ckkO2fP+9a2BWAXQv0Pkd07VqQmpqKwsJCvPnmm3jhhRewYMECPPTQQ5g1axZmzZqlp0mCIJjgSwB5DX+JlkJYWBjS0tKwdetWTxrP89i6dSuGDRtmrph//cv1hStm7FhXukFt8zYbiocPB+/+cjewbS+MalsEz/MoLi42dtcCVu95IGH5vRJI7fHxrsHw0aNATo7r76ZNQdt6C9DpWrBw4UI8//zzGDRoEJKTk1v0iREEW9ShBGexAbGYgjAkB1tOCySjyV+ipTB//nxkZmZi0KBBGDx4MFasWIGqqirMnDnTXCHuL8qCAtcqaSP32Gxomz9yBMeOHEH7Xr1g7dXL0LYDolsEz/M4duwY2rdvD6tVly2qOaze80DC8nvFjHves2fI7Aesy7UgOTkZL730Eu6+++5AaAoZGl0LNkOda4GWnQh8uxYoHTULNE73i10A5NwBpNwFYmTqSbkhKLkZKO1UAEi7FshN+1dLlLkoU09cthCv4Qw2oi0mI7nhSFklNwM17g1SR98q7VrAme5aYMZWXXrbVXstvRqMLutvPbZcC9y8/vrrngMRBgwYgL/+9a8YMmSIYj1DXQsIgmiVmOpaUFdXh+HDh+upShABJQlTkIjJuKTVHClLEMYxd+5cHD9+HLW1tdizZ4+qQSyL8DyP48ePGzs9bxKsaifd5sOydi3oci2477778N577+GZhtWHLR/xCV3u11CI67PIui2xclZYqX1ipaypcunRMvlS1lm5tiLtjdam8Ia4zar8QanjGlZC8o2/n6q5xvsgt2BMbHGVQmz3bINkXIp5XpZTubI2H2lN404faXJYRKUFTSdAid8bWqV+g/4AACAASURBVOqZgV49odYPJVjTS2jB7WfaqVMn46bnTYJV7aTbfFjWrgVdA9mamhqsXr0aW7ZswZVXXtnsdJFXXnnFEHEEQbDCb3AtAhsF4JIgayEI39jtdmZnFVnVTrrNh2XtWtB9IIL74IODBw965dHCL4JojeQB2NUQnxxMIQShiNPpRFFRES699FLYbGo8/EMHVrWTbvNhWbsWdA1kt2/fbrSOECccrul/JRcB9a4FcnvDuuNq9oZVOnZWyl1AnBYtU9adHhPWuNwpUiau5FrgFLkR1Da4EdSJ3AnC6xp7Z6tpvD9SU/hKi6vEcfHEsJy7gFuFXFti3PXk2lVyM5D/qLWUKexRTf4SROgiCALOnz+Prl27BluKZljVTrrNh2XtWmi5ThMN/Oc//0GvXr3Qs2dP/P3vfw+2HIJooVwClyWW3AqI0MdutyM9Pd1zghFLsKqddJsPy9q10KJ7x3Ec5s+fj+3btyM2NhZXXXUVJk+ejEsu0fplGwFvi6ya07yapytZYQHpLbW0nMAlzpeyuMpZYeNEFtWYiBpXWlTjhldRIitsdEM+IG2RFVthvRZ2NVhfq8VWWLlFYiLrrJJFVrywy20ltcuUlbLOyllstVlc9SL1ETTDSqtl+yit7f4GYCeAq9H6BrYtxcLesnE6nSgoKEDPnj2Zm3JlVTvpNh+WtWuhRVtk9+7di8svvxydOnVCTEwMJk6ciNzc3GDLIogWzk64/GV3BlsIQchSXa20H0rowqp20m0+LGtXS0gPZPPy8nDTTTehY8eOsFgs+Oijj5qVyc7ORteuXREREYEhQ4Zg7969nryTJ0+iU6dOntedO3dGcXGxKdoJovVyNYARQI/hwMDvgYE8MDAW6BGlWJMgzMBms2HgwIFMWqlY1U66zYdl7VoIadeCqqoq9O/fH7NmzcKtt97aLH/dunWYP38+Vq1ahSFDhmDFihUYP348jhw5gqSkJAOVNF3spc21QGpvWPHbSmpvWCV3AnFcyZ0AAOKk0kT7wbYVuRG443ESaYDyYi+pBV5Ao0tB2UWX4t+4Uuy8uAXDI29Agq09xIjbcDbUk3MtCJdIF5/KJecuoAc1Lgv63BCMnpIO5hT3JUCPO4GCkc2zem4HCi82T5fE6BO6CMKF0+nEoUOH0KdPH+a+5FnVTrrNh2XtWghpi+yECROwaNEiTJ4svZ3PK6+8gvvvvx8zZ85E3759sWrVKkRFReGtt94CAHTs2NHLAltcXIyOHTvKXq+2thbl5eVegQgceVWf45uaz7G7+rNgSyGMJkbmoRkT0r+dCYIgCMZg9lulrq4O3333HZ544glPmtVqxdixY/H1118DAAYPHoyDBw+iuLgYcXFx+Pzzz32eRrZkyRIsXLhQIkfdYi/xYi7x17iUlVVpe61wibSm8RgfaUCjFRYA2rr/iqypCdGVjfkii+slDely+TGixV5i66wb8fZaF0ULuy40WGLd1tubw11bNY1qMxbR9hovK6y4DbdVN0yUr7RAS81vT6mFYc174102cIu+xLBiXTRSZ6D6zIJGwmxsNhv69esXbBm6YFU76TYflrVrIaQtsr44e/YsnE4n2rf3npJu3749Tp06BcC19cTLL7+MMWPGYMCAAfj973/vc8eCJ554AhcuXPCEEydOBLQPrZ1ERyImx2XiEruRbiAEQRC+cTqdyM/Ph9Npzk9TI2FVO+k2H5a1a4FZi6xaJk2ahEmTJqkqGx4ejvDwcOWCBEH4pkLmwVlBVk0iNIiMjFQuFKKwqp10mw/L2tXC7EC2Xbt2sNlsOH36tFf66dOn0aFDB4OvJn+yl0U0iS23N6y7hJy7gNTCLrnTvKRO62orShMv9hKnu10KxO4CSbGNPsCXSKSL88NF+RC5GcDefGAiPq0r/GLjUjSlhWFidwKxy4I7vVq0t6zcwjkp1wK7TFkpzN9HNlD7uRp5DR0aCi8CPXeIfGWdrkFsYaj4ndOAujVjs9nQu3fvYMvQBavaSbf5sKxdC8y6FoSFhSEtLQ1bt271pPE8j61bt2LYsGF+tZ2dnY2+ffsiPT3dX5kE0XopvAjkVzSEcg27FRBEYOE4Dvv27QPHsfeDhlXtpNt8WNauhZC2yFZWVqKwsNDzuqioCD/88AMSEhLQpUsXzJ8/H5mZmRg0aBAGDx6MFStWoKqqCjNnzvTrullZWcjKykJ5eTni4uLQdLGXXWSrk1rUBUgv5pKz2Go5rUvKOqtkhQUaLbFiK6s4nty2zBNvn3CuoYHGNIjKSlpkRZZViKywqGxUF9VgiRWf9iVeDFYhsriKTxKrbEgX3zMlK6uWxV7swNrDiDW9RGvBYrEgPj4eFosl2FI0w6p20m0+LGvXQkgPZL/99luMGTPG83r+/PkAgMzMTKxZswa33347zpw5g2effRanTp3CgAEDsGnTpmYLwAiCIAjCjc1mQ48ePYItQxesaifd5sOydi2EtGtBRkYGBEFoFtasWeMpM3fuXBw/fhy1tbXYs2cPhgwZEjzBBEEQRMjDcRx2797N5JQrq9pJt/mwrF0LIW2RDRbZ2dnIzs4WbVkRDgvCPVPRci4Cdpl0d1zsFqC0T6ySOwEgfVqX3D6xUgu4OrtdCAC0E8XR7qz3X8DbzUC88Mu9cEu0UAvlsY1x8WKwhjKxEnvLAk3cCUT1wiQWidlk9pSVekMbebKXMZixgMvMdlv2Q5JoeVitVnTq1AlWa0jbciRhVTvpNh+WtWuhZfdOJ1lZWfjpp5+wb9++YEsJKUrKK/Haru9RcqEq2FIIgiB0Y7VakZqayuQXPKvaSbf5sKxdC2SRVUEYAAsgaZGVO6FLKq7mtK4oiTSxxTVaIj1OZL2MkzihSxwXL+ryssImlTaPdzjVmNbuLDZ8XoCNhcVAx2LMuzkVXogXeIlO/vJaBOZezCUqK95mK0zUDy/ra0NcjUXWV1rLRIs1NJQtwUrXCNZ1iZaIe8p1+PDhsNvZ+hpkVTvpNh+WtWuh5faMMJwpQzu7/l7dVqEkQRBE6GK1WtG9e3cmLVWsaifd5sOydi3QQJZQTXJ8JOZN6Om9FRdBEARjuH0HWYRV7aTbfFjWrgUayErQdLGX27XA7Rogt3es0j6xcqd1SS3sUnInAIDohqn2tiJ3grYyrgXuRV7txYu25FwLOv/q/RfwdjMQD2R5K0pKOWzI5THlmgQktxP3Et4uB2UNllyRO0GUBtcCuyhNDj0uBea4IbT2qfFAuQuEQp9DQQOhBY7jkJeXh1GjRjE35cqqdtJtPixr10LLtjfrhBZ7NVJyrgavffIzSs7Uy5bZsKkSG788jw3bzsmWIQiCCBWsViv69evH5JQrq9pJt/mwrF0LLXeIbiBhcI34pU7okrPORkmkqzmtS2qxl7isl3W2YVFVjGhxldQCL0C07ZbYIiveXktscXVbYrv+jA07z2Hj9xVANyfmzWnoSYxoMVetFVPuFQBbNKZM4F2WXdFpXl4Lv9zWVwXLa9N4oHEqF2mBKFkR9VoZQ8E6GQoaiFDGarUiKSkp2DJ0wap20m0+LGvXQssephN+M2V8DCaPjcGUW+R/8yQnWzAvMw7JSfS7iCCI0Ke+vh6bN29Gfb38TFOowqp20m0+LGvXAo08CJ8kJzowb3oC0OGicmGCIAgGsNlsSE9Ph83G3kZ9rGon3ebDsnYt0EBWBb5cC9TsIxupUFbKzUDsWiDlTgA07hkr3jtWLh4u5VogdZoXAHQ86frb5RcAQMkpHhvWDMeUKb2QnBwNYFRj2fC/N4jc1ZgmdicQn+xloruA2Ui5JwhBdVpo7YvLpGDZXYIwEqvVioSEhGDL0AWr2km3+bCsXQvkWiBBdnY2+vbti/T09GBLCQk2bHRi48YCbNhwJNhSCIIg/Ka+vh6fffYZk1OurGon3ebDsnYtkEVWgqysLGRlZaG8vBxxcXHNLLJarLDi8nKneUnV87LSiqyakRJbV4mttOK4eCsuuOOiBWBe22iJrbPueJt+KCmpw4WaM7jmmjswcuRYvPbaHkyZchWSk5MbCue5/lh3NNYXn+YlFRelOVXE3XASaU1xNvnrD06ZeGDgVMSNaDsQ+QTBFna7HSNHjmRySyJWtZNu82FZuxbIIkv4ZMOGc9i2rRzR0bF48skwPPPMWIwYsRkTJtyEH374IdjyCIIgNGOxWBAbGwuLxRJsKZphVTvpNh+WtWuBBrKET6ZMScDkyfEoLp6Fzz8fiQsXhqKo6B5s2ZKORYsWBVseQRCEZurr6/Hxxx8zOeXKqnbSbT4sa9dCy7Y3G4QDrv1i3S4Cak7zErsfRErka9pHVuROIHYdiG6IR0ukAYBdyrVAKg3wXqDlifdEcjIwbx4wblwsGn/3WBEePgZPP90DwGJXknjvWPFpXjURjfG6hjvANb7takXxOlFcys3AK62xVcVpf7myUvWU2lIzya7NDUHLtL3RLgeBRstpXv6W1QsL95EwGrvdjnHjxjE55cqqdtJtPixr1wJZZAlVXH11DQD3rgM8HnwwGQMG9A6mJIIgCN2w/OXOqnbSbT4sa1dLy++hDrKzs5GdnQ2n02VbC4fLIiu1/ZbSaV7iuFy+lHVWbIUVL/AKEy38cpeJklgA5iosERdvh2WXsUZ5LKPrPElPPmkFMAk7d16Gq6/+Ck8+uRqAEzhf4ipwtltj/fLYxrjYUuu2ztY19l7JCiuOq7HIchJpSui1yelfABYsi6Kasnq0hYJV02wNWhbIhcL9IcRwHIecnBxMnDgRDocj2HI0wap20m0+LGvXAg1kJWi6awEB2O08nn32o4ZX3wdVC0EQhD/Y7XZMnDiRSWsVq9pJt/mwrF0L5FpAEARBtDo4jl1LOavaSbf5sKxdLS17mG4QYZB3LVCzp6yWRWJhDadfiV0IwmT2kXWny5VVPElLNK3vtSirrG3z+mGfSZct7eL6e6pDY9o50UkiEovABFH9apGbQbWMy4E7LuVC0DRdarpfS1loyNdWNtRO2qJTrojWC8dxyM3NZXLKlVXtpNt8WNauBbLIEgRBtHIWL16M4cOHIyoqCm3btg22nIDjcDhw8803M/nl7igqws1hYXD8/HOwpWiC1XvOqm6Abe1aIIusChxw3Silk71sMulaLLnhElbWcFHcJrKSuuM2Jcsr0Hialsjq6bVNVpnoy8vdntiaKr6G2CLrtr6WJjWmnW0n3W5De2Wi61aI2roo0nZRwjqrZhstPSd7qbHS6jsxLJjWS3+vbbT2YN0Lsjyroa6uDrfddhuGDRuG//u//wu2nIAjCAIqKioQExPDzmbx584B06ZB+OILVHTqhJjiYliuuw7417+A+Phgq1OEyXsOdnUDbGvXAllkCYIgWjkLFy7Eo48+iiuuuCLYUkyB4zjs2LGDLf/BadOALVvAhYdjx7Jl4MLDgS1bgDvvDLYyVTB5z8GuboBt7VqggSxBEAShidraWpSXl3sFAJ4tC51Op2Sc4zivOM/zPuP19fVecUEQvOKCIDSLA/CK8zzvFec4Dg6HAxMmTPBYqdzpbr3ieEj06ehRCF98gfqwMDiqqzFh+nRAEACnE/wXX4A7cqRZP0KtTwA8K+jV/p9CoU8Oh8PrUAF/33tm9snhcGD8+PGw2Wyq/0/B7pMeaCCrgjA0LvhqGsJkgl0UpOrJBiuvOijC2RtDXZgr1EQ0hvLYxnAuoTGc6uAKv3RpDD93lQ6/dnYFd51THbzbEl2Dq4wGVxmNypoIT6iuC/OEOs4uGWobQh0gGZx+Br3ItSHACcFny5wBQQtKdYxsV0tbcmX9bVcNRrbV+liyZAni4uI8ISUlBQBw8OBBAMChQ4dw6NAhAMD+/ftRUFAAAMjPz0dRUREAYO/evThx4gQAYPfu3Sgpce1JnZeXh7NnzwIAtm3bhrKyMgBAbm4uKioqAAA5OTmoqanx7JPJcRxqamqQk5MDAKioqEBubi4AoKysDNu2bQMAnD17Fnl5eeB5HgUFBdi9ezcA4MSJE9i7dy8AoKioCPn5+QCAgoIC7N+/P/h9OnYMFZ064f+3d+/BVVSHH8C/95FAoOElbxIELRUQeRQDAj6CUlAsiFN17FgL1qkWAwUzVbE/FR+MFFtbRkjx1SHQqdTBFnAsChpApqCCQEBKqKAUMDzCKwkJSci9u78/4F7OvexmH9m7e8+938/Mjpvdc3e/5+Z6OTl79uzav/wFit+PQ7fdhnVFRRfqNHAgNl5syB49ejSp63TixAmcO3fO9O8pGeqkKArWrFkT/WOtuZ89N+ukKArWr1+PiooKS78nL+tkh0+NNMkpSnwgwtdff41RqEIQbaJjYLUePwsYP6JW61G0ACCMRI0+glZ81Gw74VGybYX1yPbObaqj28T1oLCOdhc+vOhw+vJt8evfq7nwX/GBCiJxjGzk4QfiTAXiujBeNnRx/agwblZcrxAepCCun7o4trZKeCCCkBY1wvrZi/+tE7YJD+KN2R5ZbxC2nTdY1ysbO6NCOLombr2kXmO7XlmjifWdfl1T25x6nZNl7RyrOcezs78ewPOoqqpCmzZt9F7guFmzZmHevHlNlikrK0Pfvpee0FdcXIyZM2dG/7HT09DQgIaGS/83VFdXIzc3F6dPn0b79u2jvSuBQCBmPRQKwefzRdf9fj/8fr/uemNjIwKBQHQ9GAzC5/NF14ELvU/iekZGBlRVja4rioJwOBxdVxQFqqqipKQEt9xyC7KysqLbg8EgwuEwVFWNrmvVw/U6HTgAtV+/C8MJVBUlCxfilt/8BlmVlVD8fih79iB4zTUx9Ui2OtXV1WHjxo249dZb4fP5TP2e4uvhRZ3C4TBKSkpw6623IjMzs9mfPTfrFMk+evRotGjRImH/PzlVp9raWrRt29bydyUbsk2IPBDh5osNWSvTaGk9xUu3ISv0rmo1ZLOFda2G7BXfu9SUE9dbCeuINGq1tsVvj5xPr9dXbMhGbtwSn+Yl3uAlrJ+8uG6m8Vol3BB26uK6UeNV3G6mIXteY79eQzbyT3bYRFlVsyGr1XgV1602SLVeB439emWau9/M67wqm8jX2TmuNw3ZEydO4NSpU02Wueqqq5CZeemby2xDNl7ku9LtOqaV22+/MCZWvAQbCABjxgAffeRdLiKH2P0e4awFREQpqFOnTujUqZPXMZKSoig4efIkOnbsCL9fkhF2y5YBP/0plI8/xsmBA9Fx1y74x4y5sF0CUr7nkDc3IHd2K1K3ZkREZMqhQ4dQWlqKQ4cOIRwOo7S0FKWlpaipqTF+sYQURcHu3bujN75IoX174KOPoOzZg90vvABlz54LPbESTL0FSPqeQ97cgNzZreDQgiZEurlvvTi0QGs+WKNxsWKZVjr7szSGFohP8NIbWhDZLm4ThxaIY2uDkXVxCIGwH8I5EJm3VhxaIIxPjZmLNjLMQJxzVhgicEbYHhk6cEJj/Gv8ujjXbNXFeWS1hhDobTcaFwtcGi5gNC7WTFlxyMGloQVGwwnEdSeGFhhd7pZl3GuyDi0wewNbPG+GFlgxZcoULFmy5LLt69evR35+vuHrObSAiJrL7vcIe2SJiNJccXFxdModcTHTiJWRoigoLy+XsqdK1uzM7T6Zs1vBMbIm+HFpeiwI/21qHSa2awkrl/9tIW6LPOVKXBe31Yg3Ygkit1cFxeOLZcUZCoIavUri64TzRY4REnpQxd5UsZc1cgOX+DQvcb1O6OmtE+sZ99+m1rWewGXlaV1m1o1ZmdbJSs+qkxnsnsOrnlUrnKwbpSJFUfDNN9+gS5cu0o0dlDU7c7tP5uxWsCFLRERpJRgM4uabb/Y6hi2yZmdu98mc3YrUbaITERFpUBQFBw8elPKSq6zZmdt9Mme3gj2yJojDCtwiDicI6QwtaLi4rjecQOt4WcLl+1bCcIKgOJxAa/5YIUODcIxzF9fFYQExN2ppDDmo0RlOcE5YN7rRSnwwgdYQACtDBKwMIdDb3/STvAD7QwecHnJg57xecTpDMtSJkkFk7GCPHj2ku+Qqa3bmdp/M2a1gQ1aD+GQvIiJKLcFgECNHjvQ6hi2yZmdu98mc3YrUbaI3Q0FBAfbs2YOtW7d6HYWIiBwWDoexf/9+KTsrZM3O3O6TObsV7JG1QGvWAjMML2eLl+0vDhcICJf3xfWgsC5eltc8r3DcyGV7cThBlXCsTK2ZCnSOpTW8QcxSozMrQWS77qwFYl7h3FqzFugNBwiZ3B+/XYtRWf3XG83b6gQr50jUDAZeSba8yZaHjKiqijNnzqBXr15eR7FM1uzM7T6Zs1vBhiwREaWVYDCIvLw8r2PYImt25nafzNmtYEPWRWK/jdirK/Y0Bi72Soq9nkaMeksBoMXFHlex51Sv19fKOSLr4o1aejdwRXpk9eaLFZ+6Jb4nke0NOvu11q3MDWv3xrBYydAr5+bcsXrbnShrhxu935QqwuEw9u3bhz59+iAQcPtW3uaRNTtzu0/m7FZwjCwREaWduro640JJStbszO0+mbObxR5ZIiJKK4FAAEOGDPE6hi2yZmdu98mc3Qo2ZG0QLy8HdLbbvYR9PnIJ38TQgsjlfvFGrRbCujgEIFLGzHCCyHZxOIHeutZjco2GGegNJxCHDmht1xtOoHVTlpkbvIzKirSGFNifO1Zr3UxZNyTDZfR0my+X3BYOh1FWVoZ+/fpJd8lV1uzM7T6Zs1vBoQVEREREJCX2yFoQ6X/T64UN6myPrIu9iIbnEntAhV7NkEbPaMzNV0KPbEBjeq2gQS+sXgaReBOZZga93tlIWeFY4jRbejd7GU2/pbXdys1eeuzf7JWoXj4r53Dzxi83ejWdvlGN0lkgEMCAAQO8jmGLrNmZ230yZ7eCPbJERJRWwuEwduzYIeVE8bJmZ273yZzdCjZkiYgo7WRlZXkdwTZZszO3+2TObhaHFtig97eN3kXMyKXvTI1tesdooXO+sMYl/EydG7y0buwyusFLpDe04LzG0AJxuMF58WYw8XUX/6t3U5fejV9ac8OK+7WGCxjth4X9+tuduNzd3EvfiXqylxOX5N0YhuDGMA43z0tuCAQC6Nu3r9cxbJE1O3O7T+bsVrBHloiI0kooFMLWrVsRCsn3B4ms2ZnbfTJnt4I9siaEYa7Fb3QzV8wTvHTKRLaLPYB6vbORsjG9sDrnMOqRNaI7FVckg05GrZ5Vrad26ZUV1830sho92Qsa242m5xLXjafcEo9o9+Ysuz22Mvcipto0Y15OoUZGfD4f2rdvD5/P53UUy2TNztzukzm7FeyR1VBUVIT+/funxTOKiYjSTSAQwPe//30p59aUNTtzu0/m7FawIauhoKAAe/bswdatW72OQkREDguFQti8ebOUl1xlzc7c7pM5uxUcWmCCAuM5R+NpXWoX/ybSe+MDcf8VXx+/PbIe1Nkfc9zIcABhWIDR32hmbnzSujyv9wQurWEIRsMJxDJ6+7We8mVlHllrN3iJ3L587NU59M6b6Ju5OHcsJYbf70ePHj3g98vXlyNrduZ2n8zZrWBDloiI0orf78eVV17pdQxbZM3O3O6TObsVbMiakIj+HbG3Tzx+5Beie9OWxrrRjWNG2/RY6ZE1uvkKuFRPMz2rVs5ht6zW71Wvzqpm37Meo5u9nOjJ9erJXnY52XvLHldqnsgl15EjRyIYlOufQVmzM7f7ZM5uRWr3NxMREcXx+/24+uqrpbzkKmt25nafzNmtSN0mOhERkYbI2EEZyZqdud0nc3YrUruZ7pDwxSV0cWkQlvMOLw0ai7i/rplLjYVF73VG5zgnLGI9Ivut1N3MexwSlnCClktCJhY77B7LTNnm5EolRu9Vc/fDxH5KBqFQCOvWrZPybm5ZszO3+2TObgUbskRElFb8fj8GDBgg5SVXWbMzt/tkzm4FhxaYEAbgg/Y0Wk29JsLKTVlaZY2eCKZ3XCd/uXp/z9m5EUvrBrD47UZP6zJ6nbM3eOm90g12nw5m9xxGx2puWTPsvC61exzIWX6/H507d/Y6hi2yZmdu98mc3YrUbqYTERHFaWxsxJo1a9DY2Oh1FMtkzc7c7pM5uxVsyBIRUVoJBALIy8uT8tGdsmZnbvfJnN0KDi0woREXnu6l9VHQu4Qtlo1c9DR6mlf8elPbzJQ9r7HfLqM5Zc3MOdugsc3M/LOR7Q06Ze0+rctoGII2K3PDJts8sslw+Z1zx5L3/H4/OnTo4HUMW2TNztzukzm7FeyRJSKitNLY2Ih//etfUl5ylTU7c7tP5uxWsEfWhPheOr2eV73tRvu1nuwlMrooYOWigV5Z457Ipsvq3RZl96lbWjeEGfXYitut5BHp3+CV6B5BN8/V1DncuJkr0ceyclwrT2przjEomQSDQdx0001SPu1I1uzM7T6Zs1uR2rUjIiKK4/P50KZNG69j2CJrduZ2n8zZreDQAiIiSiuNjY1YtWqVlJdcZc3O3O6TObsVPlVVVa9DJKvq6mq0bdsW16EKAVz6q8bKzVd6260ew+z+RHWxG80jq7fN7tACreEAesMJtIYW6A0nMJpzVn9oQb3GNidu9jJ7LL3yZi77uzlPrN1hCHb3J+q4Th6jHsAcVFVVpWzvSOS7UpY6qqqK+vp6tGzZEj6fz+s4lsianbndJ1t2u98j7JElIqK0I/O4QVmzM7f7ZM5uFhuyJoTjlvPCYnV7opdzwtJgczmnsRidt05YrOTVy6BVNv73oLVEnnSvt1/r96oiHF0uHSF+SRQrxzfKYzev1uvcqLuRZMhAqSgUCmH16tVSPoNe1uzM7T6Zs1uRFg3Zu+++G+3bt8c999zjdRQioqTyv//9Dw8//DB69+6NrKwsXH311Zg9ezbOn3dyJurkEgwGMX78eCl7q2TNztzukzm7FWnRkJ0xYwaWLl3qdQwioqSzd+9eKIqCN954A//5z3/wpz/9Ca+//jp++9vfsXSlrwAAGFhJREFUeh0toWTupZI1O3O7T+bsZqVFQzY/Px/Z2dm2Xx+53K11wVm8HG40nMDt4QZ1NpdEDyMQ3z8zwwWMFr3fgdFyid5wAicXI1ZfZ3a/08MFnDxuol6XqPcvNd1+++1YvHgxxo4di6uuugoTJ07Eb37zG/zzn//0OlrChEIhrF27Vsp/5GXNztzukzm7FZ43ZDdu3IgJEyage/fu8Pl8WLly5WVlioqK0KtXL7Rs2RLDhw/Hli1bPEhKRJQeqqqqmny0ZUNDA6qrq2MWAAiHw9H/aq2HQqGYdUVRmlxvbGyMWY9MshNZV1X1snUAMeuKosSsh0IhZGRkYMKECdE7uSPbI3nF9WSrUyR7hJhdbz0Z6gQAEydORDAYNP17SoY6ZWRkxFyeb+5nz806ZWRk4M4770QgEDD9e/K6TnZ43pCtra3FoEGDUFRUpLn/3XffRWFhIWbPno3t27dj0KBBGDduHCoqKqJlBg8ejAEDBly2HDlyxJGMCmJ7Uc30DIqLVu9tMvfk2lnMvA9O1sFuL6y4XLrByw1O9NTa2e+l5va4JrNkft+bZ//+/ViwYAEeffRR3TJz585F27Zto0tubi4AYPfu3QCAsrIylJWVAQB27dqFffv2AQB27NiBAwcOAAC2bNmCw4cPAwA2b96Mo0ePArjQuXHy5EkAwLp161BZWQkAWLt2Lc6ePQsAWL16Nerr62NuZqmvr8fq1asBAGfPnsXatWsBAJWVlVi3bh0A4OTJk9i4cSNUVcW3336LzZs3AwAOHz4c7SA5cOAAduzYAQDYt28fdu3alVR1UlUV5eXll9UJAI4ePZrUdTpz5gzq6upM/56SoU6qqmLNmjXRP9aa+9lzs06qqmL9+vU4ceKEpd+Tl3WyI6nmkfX5fFixYgUmTZoU3TZ8+HDk5eVh4cKFAC609HNzczF9+nTMmjXL9LE3bNiAhQsX4r333tMt09DQgIaGhujP1dXVyM3NRW9UwW9iHlk9zZ371er5Es2o6Sf+065VVm8OWKN1vRlejcrqrV9qxMZfJm9q3emyZo+lV95ov9E2t8sm8nVm97t1jghv5pGdNWsW5s2b12SZsrIy9O3bN/pzeXk5brnlFuTn5+Ptt9/WfZ3ed+Xp06fRvn37aO9KIBCIWQ+FQvD5fNF1v98Pv9+vu97Y2IhAIBBdDwaD8Pl80XXgQu+TuJ6RkQFVVaPriqIgHA5H1xVFiTZObrvtNmRlZUW3B4NBhMNhqKoaXdeqh5d1AqCbXW89GepUV1eHdevWYezYsfD5fKZ+T8lQp3A4jDVr1mDs2LHIzMxs9mfPzTpFsv/oRz9CixYtEvb/k1N1qq2ttTWPbFI3ZM+fP49WrVrhvffei2ncTp48GZWVlVi1apXpY5tpyD7//PN44YUXLtvOhmwsNmSdLGv2WHrlk6FxyoZs07xpyJ44cQKnTp1qssxVV12FzMxMAMCRI0eQn5+PG264AcXFxfD7zV+wk+2BCESUfOx+jyT1nAwnT55EOBxGly5dYrZ36dIFe/fuNX2cMWPGYOfOnaitrUVOTg6WL1+OESNGXFbu6aefRmFhYfTnSC/DhcvQl+g15PQanGGT+/WOlcwXL40aqlrbjfbrrRs1XvXOod14FY+YqIasGUYNUq2yVnnVUHXqNTKy+3lwTqdOndCpUydTZcvLyzF69GgMHToUixcvttSIlZGiKKisrES7du2kq6us2ZnbfTJntyJ1ayb45JNPcOLECZw7dw7fffedZiMWAFq0aIE2bdrELEREqay8vBz5+fno2bMn/vCHP+DEiRM4duwYjh075nW0hAmHw9i6dWuzbjDxiqzZmdt9Mme3Iql7ZDt27IhAIIDjx4/HbD9+/Di6du3qWo7zuNDiN7rEL35UtMqa+ShFXmf3Y+fEMAQr5zYqa2VogV6ZkMY2Kz2y2r2w4nqies+a20trtUwy9HY62Wvs5H6njpF6Pv74Y+zfvx/79+9HTk5OzL4kGnnmqIyMDIwbN87rGLbImp253SdzdiuSukc2MzMTQ4cORUlJSXSboigoKSnR7VV1QlFREfr374+8vLyEnYOIKBlMmTIlOt1O/JKqFEVBRUVFdCoimcianbndJ3N2KzxvyNbU1KC0tBSlpaUALkzVUFpaikOHDgEACgsL8dZbb2HJkiUoKyvD1KlTUVtbi4ceeihhmQoKCrBnzx5s3bo1YecgIiJvKIqC3bt3S/kPvKzZmdt9Mme3wvNZCzZs2IDRo0dftn3y5MkoLi4GACxcuBC///3vcezYMQwePBivvfYahg8fnvBskTvoOsXNWiCycinficv+Xs1gYGcIgZkyehf9tcpYne0gwv7QAjdnIrA7a4GZYzT3WHrcmMHAqf1unUOrbD2A36X0Hf2ctYCImkvaWQvy8/MNL2FNmzYN06ZNcykRERGlMkVRcPToUXTr1k26u7llzc7c7pM5uxWeN2STUVFREYqKii49Pg2x02+JjG7w0iurx4ljuMlOT61Rz6ve65zthRXXnZhGS+TGlFpOvd6J8yUqg4w3cKXnDWOyURQF33zzDbp06SLdP/CyZmdu98mc3QrPhxYks0g3d4cmhhaIZB46YFf6NWTtDkMwcwyz+62ew+yxnC5rpYybx03ksbTKcGgBEZERu98jqdtEJyIi0qAoCg4ePCjlTTCyZmdu98mc3QoOLTAhDMDMx0Cvv8bKm2zUw+lmj63dYQxmelyNzmGlR1Y17PdN1BO4kqG3z+65nXxal5XzJupcdiVDBnKboigoLy9Hjx49pLvkKmt25nafzNmt4NCCJkS6uduiCj4TQwv0OPnXAhuyl68725C1OwxB6xhODxGw2yBN9OwCXs1U4NY5rJTl0IJUrSMRJRaHFjiID0QgIkpd4XAY+/fvl/LRnbJmZ273yZzdCjZkNcQ/EOH8xSVsc2nQWEI2F61jJWqxm8fu+2RlURGOLrGMEmux8hvQY7esnf3Q2W/mdXYk6rhG5zPanyx5SDaqquLMmTNSPr1M1uzM7T6Zs1vBoQVNiHRzZ10cWuDkZX3ZZifQY+XvPCeHFmgPJwCcHQLQ3GEIZsqa3W/1GEbbnShr51iJfF2ijtXc83FoARGREQ4tSKBIL2Bze2bDGseKX9zozXQyu5NlrfXC2u1FtdvjavR6o7JGxzNzPiu0XmfmPbFzjubmcpoT77vT56NkEg6HsXfvXikvucqanbndJ3N2K9iQJSKitFNXV+d1BNtkzc7c7pM5u1mcfouIiNJKIBDAkCFDvI5hi6zZmdt9Mme3gj2yGuJnLUjk5XKzQw68GHpgN4NRWTPHEocRuDucwO7Qg+YOM7B7jkRd1nZySIOMUqUepCUcDmP37t1SXnKVNTtzu0/m7FawIashftYCIiIiIko+HFpgQhiAr4l9EW7MRCDD31VGGfVnHBDZvdPezowARvvNZNAq48Zd+WY4eTy7x2pund1+zyiVBQIBDBgwwOsYtsianbndJ3N2K9iQbcKlmcmqYWaOMs5jdoHx+5DIhqzWsZ1oyIYN9msdQ6+edjNobTdzDjuNQKP3wcqx7GZw4rx2y1s5nlHZBgBI6bkcI3Wrrq72OIk5kUuuAwYMQCAg12SIsmZnbvfJlj3y/WH1u5IN2SacPXv24lquqfIy9JYSkTdOnTqFtm3beh0jISLflbm55r4riYj0nD171tJ3JR+I0ARFUXDkyBFkZ2dj2LBhl42ZzcvLi24T18Wfq6urkZubi8OHDzsyUXj8eZpTtqn9Wvv06qj1czLU30x5vf2sf3LWv6nMdso2p/7x2/Tej6qqKvTs2RNnzpxBu3btTOWWjfhd6fPpDcRKHon4XLpF1uzM7T7ZsquqirNnz6J79+7w+83fwsUe2Sb4/X7k5OQAuDDWJP6DIG6L3x//c5s2bRz5IGnlsFu2qf1G9TX6ORnqb6a83n7WPznr31RmO2WbU//4bUbvj5UvZtmI35UycfJz6TZZszO3+2TKbueqVep+szqsoKCgyW3x+7XKJyqH3bJN7Teqr9HPyVB/M+X19rP+yVl/q8dOZP3jt7n1HUBERJdwaEGCpfszyFl/1j+d6w/wPUhGMv9OZM3O3O6TObsVgeeff/55r0OkukAggPz8fASD6TmSg/Vn/dO5/gDfg2Qk8+9E1uzM7T6Zs5vFHlkiIiIikhLHyBIRERGRlNiQJSIiIiIpsSFLRERERFJiQ5aIiIiIpMSGbJKorKzE9ddfj8GDB2PAgAF46623vI7kqsOHDyM/Px/9+/fHwIEDsXz5cq8jeeLuu+9G+/btcc8993gdxRUffPABrrnmGvTp0wdvv/2213Fcl26/b6/NnTsXeXl5yM7ORufOnTFp0iT897//9TqWZb/73e/g8/kwc+ZMr6MYKi8vx89+9jNcccUVyMrKwnXXXYcvv/zS61iGwuEwnn32WfTu3RtZWVm4+uqr8dJLLyHZ7o/fuHEjJkyYgO7du8Pn82HlypUx+1VVxXPPPYdu3bohKysLY8aMwb59+zxKmxhsyCaJ7OxsbNy4EaWlpfjiiy/w8ssv49SpU17Hck0wGMT8+fOxZ88erF27FjNnzkRtba3XsVw3Y8YMLF261OsYrgiFQigsLMS6deuwfft2zJs3L60+80B6/b6TwaeffoqCggJ8/vnn+Pjjj9HY2IixY8dK9V2zdetWvPHGGxg4cKDXUQydOXMGo0aNQkZGBj788EPs2bMHr776Ktq3b+91NEPz5s3DokWLsHDhQpSVlWHevHl45ZVXsGDBAq+jxaitrcWgQYNQVFSkuf+VV17Ba6+9htdffx1ffPEFWrdujXHjxqG+vt7lpImTuhOLSSYQCKBVq1YAgIaGBqiqmnR/+SVSt27d0K1bNwBA165d0bFjR5w+fRqtW7f2OJm78vPzsWHDBq9juGLLli249tpr0aNHDwDA+PHjsXbtWvz0pz/1OJl70un3nQw++uijmJ+Li4vRuXNnbNu2DTfffLNHqcyrqanBAw88gLfeegtz5szxOo6hefPmITc3F4sXL45u6927t4eJzNu8eTPuuusu3HnnnQCAXr16YdmyZdiyZYvHyWLdcccduOOOOzT3qaqK+fPn45lnnsFdd90FAFi6dCm6dOmClStX4v7773czasKwR9Yko+57ACgqKkKvXr3QsmVLDB8+3PIHvrKyEoMGDUJOTg6eeOIJdOzY0an4zeZG/SO2bduGcDiM3Nzc5sZ2lJvvgQya+34cOXIk2ogFgJycHJSXl7uS3Qn8PMivqqoKANChQwePk5hTUFCAO++8E2PGjPE6iinvv/8+rr/+etx7773o3LkzhgwZIs2wuZEjR6KkpARff/01AGDnzp3497//rdtoTEYHDhzAsWPHYj4vbdu2xfDhw/HZZ595mMxZbMiaZNR9/+6776KwsBCzZ8/G9u3bMWjQIIwbNw4VFRXRMpHxr/HLkSNHAADt2rXDzp07ceDAAbzzzjs4fvy4K3Uzw436A8Dp06fx85//HG+++WbC62SVW++BLJx4P2SW7vWXnaIomDlzJkaNGoUBAwZ4HcfQ3//+d2zfvh1z5871Oopp3377LRYtWoQ+ffpgzZo1mDp1Kn79619jyZIlXkczNGvWLNx///3o27cvMjIyMGTIEMycORMPPPCA19FMO3bsGACgS5cuMdu7dOkS3ZcSVLIMgLpixYqYbcOGDVMLCgqiP4fDYbV79+7q3LlzbZ1j6tSp6vLly5uVM1ESVf/6+nr1pptuUpcuXepY1kRJ5Gdg/fr16k9+8hNHcrrFzvuxadMmddKkSdH9M2bMUP/2t7+5E9hhzfk8yPj7TgW/+tWv1CuvvFI9fPiw11EMHTp0SO3cubO6c+fO6LZbbrlFnTFjhoepjGVkZKgjRoyI2TZ9+nT1hhtu8CiRecuWLVNzcnLUZcuWqbt27VKXLl2qdujQQS0uLvY6mq7476FNmzapANQjR47ElLv33nvV++67z+14CcMeWQecP38e27Zti+m+9/v9GDNmjOnu++PHj+Ps2bMALlzu2rhxI6655pqE5HWaE/VXVRVTpkzBrbfeigcffDBRURPGifcglZh5P4YNG4bdu3ejvLwcNTU1+PDDDzFu3DivIjuKn4fkNm3aNHzwwQdYv349cnJyvI5jaNu2baioqMAPf/hDBINBBINBfPrpp3jttdcQDAYRDoe9jqipW7du6N+/f8y2fv364dChQx4lMu+JJ57AU089hfvvvx/XXXcdHnzwQTz++ONS9Yh37doVAC67unv8+PHovlTAm70ccPLkSYTDYc3u+71795o6xsGDB/HII49Eb/KaPn06rrvuukTEdZwT9d+0aRPeffddDBw4MDrW8K9//WtavQcAMGbMGOzcuRO1tbXIycnB8uXLMWLECKfjJpyZ9yMYDOLVV1/F6NGjoSgKnnzySVxxxRVexHWc2c9Dqvy+ZRH5bl2xYgU2bNggzY1Ht912G7766quYbQ899BD69u2Lp556CoFAwKNkTRs1atRl05t9/fXXuPLKKz1KZN65c+cQDMY2kQKBABRF8SiRdb1790bXrl1RUlKCwYMHAwCqq6vxxRdfYOrUqR6ncw4bskli2LBhKC0t9TqGZ2688UapviAS5ZNPPvE6gqsmTpyIiRMneh3DM+n2+/ZaQUEB3nnnHaxatQrZ2dnRcYJt27ZFVlaWx+n0ZWdnXzaOt3Xr1rjiiiuSenzv448/jpEjR+Lll1/Gfffdhy1btuDNN99Mynsg4k2YMAFz5sxBbm4urr32WuzYsQN//OMf8Ytf/MLraDFqamqwf//+6M8HDhxAaWkpOnTogJ49e2LmzJmYM2cO+vTpg969e+PZZ59F9+7dMWnSJA9TO4sNWQd07NgRgUAg5bvv9aR7/QG+B/HS/f1I9/onq0WLFgG4MO2ZaPHixZgyZYr7gVJcXl4eVqxYgaeffhovvvgievfujfnz50txw9SCBQvw7LPP4rHHHkNFRQW6d++ORx99FM8995zX0WJ8+eWXGD16dPTnwsJCAMDkyZNRXFyMJ598ErW1tXjkkUdQWVmJG2+8ER999BFatmzpVWTHcYysAzIzMzF06FCUlJREtymKgpKSkrS4TJju9Qf4HsRL9/cj3eufrCJDt+IXGRuxGzZswPz5872OYejHP/4xvvrqK9TX16OsrAy//OUvvY5kSnZ2NubPn4+DBw+irq4O33zzDebMmYPMzEyvo8XIz8/X/EwXFxcDAHw+H1588UUcO3YM9fX1+OSTT/CDH/zA29AOY4+sSUbd94WFhZg8eTKuv/56DBs2DPPnz0dtbS0eeughD1M7J93rD/A9iJfu70e615+IKCl4MFOClNavX68CuGyZPHlytMyCBQvUnj17qpmZmeqwYcPUzz//3LvADkv3+qsq34N46f5+pHv9iYiSgU9V0+g5qERERESUMjhGloiIiIikxIYsEREREUmJDVkiIiIikhIbskREREQkJTZkiYiIiEhKbMgSERERkZTYkCUiIiIiKbEhS0RERERSYkOWiIiIiKTEhiyRBT6fDytXrvQ6BhEREYENWSIiIiKSFBuyRCadP3/e6whEREQkYEOWSEd+fj6mTZuGmTNnomPHjhg3bhwA4OTJk7j77rvRqlUr9OnTB++//37M6z799FMMGzYMLVq0QLdu3TBr1iyEQiEvqkBERJTS2JAlasKSJUuQmZmJTZs24fXXXwcAvPDCC7jvvvuwa9cujB8/Hg888ABOnz4NACgvL8f48eORl5eHnTt3YtGiRfjLX/6COXPmeFkNIiKilORTVVX1OgRRMsrPz0d1dTW2b98e3ebz+fDMM8/gpZdeAgDU1tbie9/7Hj788EPcfvvt+L//+z/84x//QFlZGXw+HwDgz3/+M5566ilUVVXB7+ffjkRERE7hv6pETRg6dOhl2wYOHBhdb926Ndq0aYOKigoAQFlZGUaMGBFtxALAqFGjUFNTg++++y7xgYmIiNIIG7JETWjduvVl2zIyMmJ+9vl8UBTFrUhERER0ERuyRA7q168fPvvsM4gjdjZt2oTs7Gzk5OR4mIyIiCj1sCFL5KDHHnsMhw8fxvTp07F3716sWrUKs2fPRmFhIcfHEhEROSzodQCiVNKjRw+sXr0aTzzxBAYNGoQOHTrg4YcfxjPPPON1NCIiopTDWQuIiIiISEq81klEREREUmJDloiIiIikxIYsEREREUmJDVkiIiIikhIbskREREQkJTZkiYiIiEhKbMgSERERkZTYkCUiIiIiKbEhS0RERERSYkOWiIiIiKTEhiwRERERSYkNWSIiIiKS0v8DAnlW2l6+s3UAAAAASUVORK5CYII="
},
"metadata": {}
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "↑ 最尤法は外れ値が絶対にあると思っている(笑)。"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "plotlikelihood(0.0, 0.30)",
"execution_count": 10,
"outputs": [
{
"output_type": "stream",
"text": "err = [0.413431, -0.204323, -0.092211, -1.5, -0.295407, 0.306154, 1.5, 0.207777, -0.40251, 0.0990943, 0.0184085]\ninit = [1.0, 1.0]\nr = Results of Optimization Algorithm\n * Algorithm: Nelder-Mead\n * Starting Point: [0.0,0.0]\n * Minimizer: [-1.160208295533655,0.5305310216827428]\n * Minimum: 9.902148e+00\n * Iterations: 47\n * Convergence: true\n * √(Σ(yᵢ-ȳ)²)/n < 1.0e-08: true\n * Reached Maximum Number of Iterations: false\n * Objective Calls: 94\nw = exp.(r.minimizer) = [0.313421, 1.69983]\n(phimin, i_phimin, j_phimin) = findminimum(phi.(rho', nu)) = (9.903923589238431, 52, 41)\n",
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"text/plain": "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x000000002F53D860>)",
"image/png": 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"
},
"metadata": {}
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "↑ 最尤法は外れ値があると思っている。"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "plotlikelihood(0.0, 0.50)",
"execution_count": 11,
"outputs": [
{
"output_type": "stream",
"text": "err = [1.21343, -0.604323, -0.292211, -2.5, -0.895407, 0.906154, 2.5, 0.607777, -1.20251, 0.299094, 0.0184085]\ninit = [1.0, 1.0]\nr = Results of Optimization Algorithm\n * Algorithm: Nelder-Mead\n * Starting Point: [0.0,0.0]\n * Minimizer: [0.24488580779354654,17.072467334989607]\n * Minimum: 1.830198e+01\n * Iterations: 80\n * Convergence: true\n * √(Σ(yᵢ-ȳ)²)/n < 1.0e-08: true\n * Reached Maximum Number of Iterations: false\n * Objective Calls: 155\nw = exp.(r.minimizer) = [1.27748, 2.59704e7]\n(phimin, i_phimin, j_phimin) = findminimum(phi.(rho', nu)) = (18.301985025808072, 100, 56)\n",
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"text/plain": "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x00000000515D2320>)",
"image/png": 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"
},
"metadata": {}
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "↑ 最尤法は外れ値ないと思っている。"
},
{
"metadata": {},
"cell_type": "markdown",
"source": "### まとめて表示"
},
{
"metadata": {
"scrolled": false,
"trusted": true
},
"cell_type": "code",
"source": "using PyPlot\nusing Distributions\nusing Optim\noptions = Optim.Options(store_trace = true, extended_trace = true)\ncmap = \"gnuplot2_r\"\n\nfunction plot1likelihood(a,b)\nclf()\n\nsrand(4649)\nx = collect(-5.0:5.0)\ny0 = 0.2*x + 10e-3*randn(length(x))\ny0[1] = 0.0\ny0[end] = 0.0\n\n#a = 0.0\n#b = 0.0\nerr = shuffle(y0 .- (a .+ b.*x))\n#@show err\n\nphiexp(w) = -sum(logpdf.(TDist(exp(w[2])), err./exp(w[1])) .- w[1])\nphi(rho, nu) = phiexp([log(rho), log(nu)])\n\ninit = Float64[1.0, 1.0]; #@show init\nr = optimize(phiexp, log.(init), options) ; #@show r\nw = exp.(r.minimizer); #@show w\n\nN = length(r.trace)\nwrho = exp.([r.trace[i].metadata[\"centroid\"][1] for i in 1:N])\nwnu = exp.([r.trace[i].metadata[\"centroid\"][2] for i in 1:N])\n\n#println()\n#@show r.minimum\nsleep(0.2)\n\n# rho = collect(logspace(\n# log(10, minimum([init[1];w[1];wrho]))-1.0, \n# log(10, maximum([init[1];w[1];wrho]))+1.0,\n# 100))\n# nu = collect(logspace(\n# log(10, minimum([init[2];w[2];wnu]))-1.0, \n# log(10, maximum([init[2];w[2];wnu]))+1.0, \n# 100))\nrho = collect(logspace(\n log(10, w[1])-1.0, \n log(10, w[1])+1.0,\n 100))\nnu = collect(logspace(\n log(10, w[2])-1.0, \n log(10, w[2])+1.0, \n 100))\n#figure(figsize=(7,3.5))\n\nax = subplot2grid((1,8), (0,0), rowspan=1, colspan=4)\nphimin = minimum(phi.(rho',nu))\npcolormesh(rho, nu, log.(phi.(rho',nu) .- phimin .+ 0.1), cmap=cmap)\n#colorbar()\n#scatter(wrho, wnu, s=0.3, color=\"black\", alpha=0.8)\n#scatter(init[1], init[2], s=5, color=\"cyan\", marker=\"s\", label=\"start\")\n#scatter([w[1]], [w[2]], s=5, color=\"blue\", marker=\"o\", label=\"end\")\nscatter([w[1]], [w[2]], s=5, color=\"blue\", marker=\"x\", label=\"minimizer\")\nxlabel(\"rho\")\nylabel(\"nu\")\nxscale(\"log\")\nyscale(\"log\")\nxlim(minimum(rho),maximum(rho))\nylim(minimum(nu),maximum(nu))\nlegend()\nminstr = @sprintf(\"%.2f\", r.minimum)\ntitle(\"minimum = $minstr\")\n\nsubplot2grid((1,8), (0,4), rowspan=1, colspan=4)\nplot([0.1, length(err)+0.9], zeros(2), color=\"gray\")\nscatter(1:length(err), err, s=20, color=\"red\")\nxlim(0.1, length(err)+0.9)\nylim(minimum([-2.0;err])-0.5, maximum([2.0;err])+0.5)\ngrid(\"on\", ls=\":\")\ntitle(\"sample of size $(length(err)): a=$a, b=$b\", fontsize=10)\n\ntight_layout()\n\nplot()\nend #function",
"execution_count": 12,
"outputs": [
{
"output_type": "execute_result",
"execution_count": 12,
"data": {
"text/plain": "plot1likelihood (generic function with 1 method)"
},
"metadata": {}
}
]
},
{
"metadata": {
"scrolled": false,
"trusted": true
},
"cell_type": "code",
"source": "b = [0.090:0.005:0.125; 0.1255:0.0005:0.130; 0.135; 0.140:0.010:0.220]\n@show b\nplot1frame(t) = plot1likelihood(0.0, b[t])\nframes = 1:length(b)\n\n@time for t in frames\n figure(figsize=(7,3.5))\n plot1frame(t)\nend",
"execution_count": 13,
"outputs": [
{
"output_type": "stream",
"text": "b = [0.09, 0.095, 0.1, 0.105, 0.11, 0.115, 0.12, 0.125, 0.1255, 0.126, 0.1265, 0.127, 0.1275, 0.128, 0.1285, 0.129, 0.1295, 0.13, 0.135, 0.14, 0.15, 0.16, 0.17, 0.18, 0.19, 0.2, 0.21, 0.22]\n",
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"text/plain": "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x00000000516497B8>)",
"image/png": 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"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x000000004FDF4CF8>)",
"image/png": 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"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x00000000515255F8>)",
"image/png": 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"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x000000004FF929E8>)",
"image/png": 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"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x00000000516C0320>)",
"image/png": 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"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x0000000050098A90>)",
"image/png": 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"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x0000000051927B38>)",
"image/png": 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"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x00000000519CFF28>)",
"image/png": 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"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x0000000051CA6F28>)",
"image/png": 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"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x0000000051D178D0>)",
"image/png": 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"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x0000000052FD8E80>)",
"image/png": 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"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x0000000052F9BAC8>)",
"image/png": 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"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x00000000533A9C88>)",
"image/png": 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"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x0000000051DEB278>)",
"image/png": 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