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June 8, 2018 18:10
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PRML_chap1: Polynomial Curve Fitting
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{ | |
"cells": [ | |
{ | |
"cell_type": "code", | |
"execution_count": 1, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": [ | |
"Julia Version 0.6.2\n", | |
"Commit d386e40c17* (2017-12-13 18:08 UTC)\n", | |
"Platform Info:\n", | |
" OS: Windows (x86_64-w64-mingw32)\n", | |
" CPU: AMD Ryzen 7 1700 Eight-Core Processor \n", | |
" WORD_SIZE: 64\n", | |
" BLAS: libopenblas (USE64BITINT DYNAMIC_ARCH NO_AFFINITY Barcelona)\n", | |
" LAPACK: libopenblas64_\n", | |
" LIBM: libopenlibm\n", | |
" LLVM: libLLVM-3.9.1 (ORCJIT, generic)\n" | |
] | |
} | |
], | |
"source": [ | |
"versioninfo()" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"__多項式__\n", | |
"$$y(x,{\\bf{w}}) = w_0 + w_1 x + w_2 x^2 + \\cdots + w_M x^M = \\sum_{j=0}^M w_j x^j$$\n", | |
"wはパラメータベクトル、Mは次数" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 59, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"polynomial_curve (generic function with 1 method)" | |
] | |
}, | |
"execution_count": 59, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"function polynomial_curve(w::Vector, x::Vector)\n", | |
" y = w*x\n", | |
" return y\n", | |
"end" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"__二乗和誤差__" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"$$E({\\bf{w}}) = \\frac{1}{2} \\sum_{n=1}^N \\{y(x_n, {\\bf{w}}) - t_n\\}^2$$\n", | |
"tは予測yに対応する観測値" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 61, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"sum_of_square_error (generic function with 1 method)" | |
] | |
}, | |
"execution_count": 61, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"function sum_of_square_error(data, prediction)\n", | |
" @assert length(data)==length(prediction)\n", | |
" return 0.5*sum((data-prediction).^2)\n", | |
"end" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"__平均二乗平方根誤差(root-mean-square error, RSME)__\n", | |
"$$E_{RMSE} = \\sqrt{2E({\\bf{w^*}})/N}$$\n" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 62, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"rmse (generic function with 1 method)" | |
] | |
}, | |
"execution_count": 62, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"function rmse(data, prediction)\n", | |
" N = length(data)\n", | |
" RMSE = sqrt(2*sum_of_square_error(data, prediction)/N)\n", | |
" return RMSE\n", | |
"end" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"__データ生成__" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 306, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
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", | |
"text/plain": [ | |
"PyPlot.Figure(PyObject <Figure size 640x480 with 1 Axes>)" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"using PyPlot\n", | |
"using Distributions\n", | |
"srand(20180609)\n", | |
"\n", | |
"x = linspace(0,1,100)\n", | |
"y = sin.(2π*x)\n", | |
"datapoints = linspace(0,1,10)\n", | |
"data = sin.(2π*datapoints)\n", | |
"\n", | |
"kernel = Normal(0,0.2)\n", | |
"noise = rand.(kernel, length(datapoints))\n", | |
"data = data .+ noise\n", | |
"plot(x, y, color=\"g\");\n", | |
"plot(datapoints, data, lw=0, marker=\"o\", markeredgecolor=\"b\", markerfacecolor=\"w\");\n", | |
"yticks([-1,0,1]);\n", | |
"xticks([0,1]);" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"__最小二乗法(Least-square method)__" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"$$E({\\bf{w}}) = \\frac{1}{2} \\sum_{n=1}^N \\{y(x_n, {\\bf{w}}) - t_n\\}^2$$\n", | |
"を最小化することを考える。\n", | |
"\n", | |
"$E({\\bf{w}})$最小の時、各$w_i$について\n", | |
"$$\\frac{\\partial{E({\\bf{w}})}}{\\partial{w_i}} = 0$$\n", | |
"となっているはず。" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"まず、$w_i$だけの場合を考えると\n", | |
"\n", | |
"$$\\frac{\\partial{E({\\bf{w}})}}{\\partial{w_i}} \n", | |
"= \\frac{1}{2} \\frac{\\partial \\sum_{j=1}^{N} \\{y(x_j,{\\bf{w}}) - t_j\\}^2}{\\partial w_i} \\\\\n", | |
"= \\sum_{j=1}^{N} \\{y(x_j,{\\bf{w}}) - t_j\\} \\cdot x^i_j \\\\\n", | |
"= \\sum_{j=1}^{N} \\{y(x_j,{\\bf{w}}) x^i_j - t_j x^i_j \\} = 0$$" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"よって\n", | |
"$$\\sum_{j=1}^{N} y(x_{j}, {\\bf{w}}) x_j^i = \\sum_{j=1}^{N} t_j x^i_j$$\n", | |
"これを行列で書くと" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"$$\n", | |
"\\left(\\begin{matrix}\n", | |
"\\sum_{j=1}^N x_j^i & \\sum_{j=1}^N x_j^{i+1} & \\ldots & \\sum_{j=1}^N x_j^{i+M} \\\\\n", | |
"\\end{matrix}\\right)\n", | |
"\\left(\\begin{matrix}\n", | |
"w_0 \\\\\n", | |
"w_1 \\\\\n", | |
"\\vdots \\\\\n", | |
"w_M\n", | |
"\\end{matrix}\\right)\n", | |
"=\n", | |
"\\sum_{j=1}^{N} t_j x^i_j$$" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"これが$\\bf{w}$の成分それぞれについて成り立つので" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"$$\n", | |
"\\left(\\begin{matrix}\n", | |
"\\sum_{j=1}^N x_j^0 & \\sum_{j=1}^N x_j^{0+1} & \\ldots & \\sum_{j=1}^N x_j^{0+M} \\\\\n", | |
"\\sum_{j=1}^N x_j^1 & \\sum_{j=1}^N x_j^{1+1} & \\ldots & \\sum_{j=1}^N x_j^{1+M} \\\\\n", | |
"\\vdots & \\vdots & \\ddots & \\vdots \\\\\n", | |
"\\sum_{j=1}^N x_j^M & \\sum_{j=1}^N x_j^{M+1} & \\ldots & \\sum_{j=1}^N x_j^{M+M} \\\\\n", | |
"\\end{matrix}\\right)\n", | |
"\\left(\\begin{matrix}\n", | |
"w_0 \\\\\n", | |
"w_1 \\\\\n", | |
"\\vdots \\\\\n", | |
"w_M\n", | |
"\\end{matrix}\\right)\n", | |
"=\n", | |
"\\left(\\begin{matrix}\n", | |
"\\sum_{j=1}^{N} t_j x^0_j \\\\\n", | |
"\\sum_{j=1}^{N} t_j x^1_j \\\\\n", | |
"\\vdots \\\\\n", | |
"\\sum_{j=1}^{N} t_j x^M_j \\\\\n", | |
"\\end{matrix}\\right)\n", | |
"$$\n" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"$$\n", | |
"\\left(\\begin{matrix}\n", | |
"w_0 \\\\\n", | |
"w_1 \\\\\n", | |
"\\vdots \\\\\n", | |
"w_M\n", | |
"\\end{matrix}\\right)\n", | |
"=\n", | |
"\\left(\\begin{matrix}\n", | |
"\\sum_{j=1}^N x_j^0 & \\sum_{j=1}^N x_j^{0+1} & \\ldots & \\sum_{j=1}^N x_j^{0+M} \\\\\n", | |
"\\sum_{j=1}^N x_j^1 & \\sum_{j=1}^N x_j^{1+1} & \\ldots & \\sum_{j=1}^N x_j^{1+M} \\\\\n", | |
"\\vdots & \\vdots & \\ddots & \\vdots \\\\\n", | |
"\\sum_{j=1}^N x_j^M & \\sum_{j=1}^N x_j^{M+1} & \\ldots & \\sum_{j=1}^N x_j^{M+M} \\\\\n", | |
"\\end{matrix}\\right)^{-1}\n", | |
"\\left(\\begin{matrix}\n", | |
"\\sum_{j=1}^{N} t_j x^0_j \\\\\n", | |
"\\sum_{j=1}^{N} t_j x^1_j \\\\\n", | |
"\\vdots \\\\\n", | |
"\\sum_{j=1}^{N} t_j x^M_j \\\\\n", | |
"\\end{matrix}\\right)\n", | |
"$$\n", | |
"\n", | |
"と解析的にパラメータが求まることになる。\n", | |
"\n", | |
"計画行列なんて知らん。\n", | |
"\n", | |
"というわけで実装していく。" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 317, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"least_square (generic function with 1 method)" | |
] | |
}, | |
"execution_count": 317, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"function least_square(data_x, data_y, n_dim)\n", | |
" N = length(data_x)\n", | |
" M = n_dim\n", | |
" \n", | |
" L_matrix = zeros(M+1,M+1)\n", | |
" for i in 1:M+1\n", | |
" for j in 1:M+1\n", | |
" L_matrix[i,j] = sum(data_x.^(i+j-2))\n", | |
" end\n", | |
" end\n", | |
" \n", | |
" R_vec = zeros(M+1)\n", | |
" for i in 0:M\n", | |
" R_vec[i+1] = data_x.^i ⋅ data_y\n", | |
" end\n", | |
" w = inv(L_matrix)*R_vec\n", | |
" return w\n", | |
"end" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 318, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"predict (generic function with 1 method)" | |
] | |
}, | |
"execution_count": 318, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"function predict(w, x)\n", | |
" M = length(w)-1\n", | |
" pow = Array(0:M)\n", | |
" \n", | |
" y = zeros(length(x))\n", | |
" for i in 1:length(x)\n", | |
" y[i] = dot(w,x[i].^pow)\n", | |
" end\n", | |
" return y\n", | |
"end" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"M=0" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 319, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
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", | |
"text/plain": [ | |
"PyPlot.Figure(PyObject <Figure size 640x480 with 1 Axes>)" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"M = 0\n", | |
"w = least_square(datapoints, data, M)\n", | |
"prediction=predict(w,x);\n", | |
"plot(x, y, color=\"g\");\n", | |
"plot(datapoints, data, lw=0, marker=\"o\", markeredgecolor=\"b\", markerfacecolor=\"w\");\n", | |
"plot(x, prediction, color=\"r\");\n", | |
"yticks([-1,0,1]);\n", | |
"xticks([0,1]);" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"M=1" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 320, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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", | |
"text/plain": [ | |
"PyPlot.Figure(PyObject <Figure size 640x480 with 1 Axes>)" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
}, | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": [ | |
"w=[0.76368, -1.42182]\n" | |
] | |
} | |
], | |
"source": [ | |
"M = 1\n", | |
"w = least_square(datapoints, data, M)\n", | |
"prediction=predict(w,x);\n", | |
"plot(x, y, color=\"g\");\n", | |
"plot(datapoints, data, lw=0, marker=\"o\", markeredgecolor=\"b\", markerfacecolor=\"w\");\n", | |
"plot(x, prediction, color=\"r\");\n", | |
"yticks([-1,0,1]);\n", | |
"xticks([0,1]);\n", | |
"println(\"w=\",w)" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"M=3" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 321, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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", | |
"text/plain": [ | |
"PyPlot.Figure(PyObject <Figure size 640x480 with 1 Axes>)" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
}, | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": [ | |
"w=[0.302231, 6.62123, -21.7045, 14.6761]\n" | |
] | |
} | |
], | |
"source": [ | |
"M = 3\n", | |
"w = least_square(datapoints, data, M)\n", | |
"prediction=predict(w,x);\n", | |
"plot(x, y, color=\"g\");\n", | |
"plot(datapoints, data, lw=0, marker=\"o\", markeredgecolor=\"b\", markerfacecolor=\"w\");\n", | |
"plot(x, prediction, color=\"r\");\n", | |
"yticks([-1,0,1]);\n", | |
"xticks([0,1]);\n", | |
"println(\"w=\",w)" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"M=9" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 322, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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", | |
"text/plain": [ | |
"PyPlot.Figure(PyObject <Figure size 640x480 with 1 Axes>)" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
}, | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": [ | |
"w=[0.215962, 71.7549, -1431.29, 12324.3, -57160.1, 1.5604e5, -2.58376e5, 2.54758e5, -1.37326e5, 31098.0]\n" | |
] | |
} | |
], | |
"source": [ | |
"M = 9\n", | |
"w = least_square(datapoints, data, M)\n", | |
"prediction=predict(w,x);\n", | |
"plot(x, y, color=\"g\");\n", | |
"plot(datapoints, data, lw=0, marker=\"o\", markeredgecolor=\"b\", markerfacecolor=\"w\");\n", | |
"plot(x, prediction, color=\"r\");\n", | |
"yticks([-1,0,1]);\n", | |
"xticks([0,1]);\n", | |
"ylim(-1.4,1.4)\n", | |
"println(\"w=\",w)" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"テストデータを準備して予測性能を見てみる" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 298, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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", | |
"text/plain": [ | |
"PyPlot.Figure(PyObject <Figure size 640x480 with 1 Axes>)" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
}, | |
{ | |
"data": { | |
"text/plain": [ | |
"PyObject <matplotlib.legend.Legend object at 0x000000005982CD30>" | |
] | |
}, | |
"execution_count": 298, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"test_x = rand(10)\n", | |
"testset = sin.(2π*test_x)\n", | |
"\n", | |
"M=9\n", | |
"E_train =zeros(M)\n", | |
"E_test =zeros(M)\n", | |
"for i in 1:M\n", | |
" w = least_square(datapoints, data, i)\n", | |
" E_train[i] = rmse(data, predict(w,datapoints))\n", | |
" E_test[i] = rmse(testset, predict(w,test_x))\n", | |
"end\n", | |
"\n", | |
"plot(1:9,E_train, marker=\"o\", label=\"train\")\n", | |
"plot(1:9,E_test, marker=\"o\", label=\"test\")\n", | |
"legend()" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"## 過学習" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"M=9のとき" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 300, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": [ | |
"w=[0.215962, 71.7549, -1431.29, 12324.3, -57160.1, 1.5604e5, -2.58376e5, 2.54758e5, -1.37326e5, 31098.0]\n" | |
] | |
} | |
], | |
"source": [ | |
"M = 9\n", | |
"w = least_square(datapoints, data, M)\n", | |
"println(\"w=\",w)" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"のように、wの値が非常に大きくなっている。\n", | |
"この過学習を防ぐ手段として\n", | |
"- データを増やす\n", | |
"- 正則化 \n", | |
"\n", | |
"がある。" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"### データを増やす" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 308, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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YOnWy5qfUqaO3R0VZfuz0FZKjo3WJcnS0LgN+vUspOi3dz/YuTQF4Y/bvjP3f/ew/v98pz0MIIQojySkROd8+2LdPL/Ry/jzUr68DkrvuYu3fa+m8vDNJKUlUK1mNFR1WULdiXbuN1aGr8irFqdfaUenrKNIM0LWTF21HLKTdg+3ydRiHn4cQQtiQpddvmSkp4qKi9MWxWTPo3Fk/1qgBP35yQM+QnD8P9erBhg2oUqWY8MsEWi1uRVJKEk2qNeH3//1ut4AEdPB05IheP8fttt9eNzedC3L4sN7PmoxGvRjf4m8N/N1tGde6dMRDwVffpvB/Ee2ZFDMpT+Xv6ccJD3fMeQghhDOTRNciLPMieYsX31ok74v3j/PAOy2Ac/Doo7BhA6n+vryxshvf/PkNAG81eIvpL0zH093TrmNO7xNSu7b559O3W7OfSPaqITfurbaAzY1MVI1ZSuRSaOz7LocvH2b6i9PxcDP/38pc9ZE9z0MIIZydzJQUUUajvkAGB+vbBw0b6tYcDWtcYO6JFtzDcf7xvB/j+g1c9fWm9bet+ebPb/Bw82BWy1nMbDnT7gEJmOkncpv07dbqJ5JT3sdDD7tTI+YbztVuhl8KrFsIqzbNJPTbUK6kXLnjcb77zr7nIYQQhYHklBRRmzfrWzWxsTogAeDKFWjeHLZvJ7lcFe479yufrS/FhBMvEHsiluIexVn+8nJevO9Fh43bnrkYeflaR/f8xx++T2HYv58/Kxho/JqiZmB91r+ynrIlyuZ4HMkpEUK4MskpEfmS7TZIcrIuPdm+HcqUIW3djxznHt5e8iGxJ2K5q9hdbHp1k0MDErjVT2TtWmzeHTYv+St/HivFtvfXQfnyPHxGsTLKkz0ndtLsq2acvXI2x+NkPo/WrZ2zy60QQtibBCVFVJbbICYTdOumq2t8fOC77/gzVXdqPWHaTiW/Svzc/WeerPqk4wacSVgYREbqfm6NGukVhhs10ucSGWm97rB5zV85rAJ0FFGiBM/8ncqXG0oQdzaOJvObcDLxZI7HKch5ZCTeLtaPRmMBTlQIIZyEBCVFVFAQBATA+PGghgzVi+p5esKKFZgaPM648SY8yhyjet3T/Pr6r9Qul8OV2UFy6idizXb1+cpfadBARwgGA6/8do2RcXfx18W/eHr+0xj8zuR4nLAwWLBAfzxyZN7OI6eKKelrIoQo9Kzfx816pKOrbS1frtRbzMxoJXrt/xaomBilWgYbFQajqvRGH3U66bSjh+kwaWm6u2pIiFJGY9bnjEa9PTBQ75dh4kSlQJk8PFSHvhUV4aiqkwNUlXtS83ecHCxfrpTBoF8TG6tUUpJ+DAnR26UTrBDCGVh6/ZagpChbt06Z3NyUAjWCsRltzj3KHFUV3uhtt5bxzixzEBATo1Rion7MMQgwmZTq2FEpUGl3l1VBYwIV4ai7u/dUBoMp78cxw6IgSQghHMDS67dU3xRVu3frezhXr2Lq/jor2n5En2XjOMNuAh45wc+vR2dZ4bcoy/fqxlev6uSQP/8kpf6j1OucxL6kf6h8oi/uG6Zy7Kh73o5zG7MVU5nExuovGx0NTZvm8ySFEMKKZJVgkXfHj0PLlvri+eyz/DdtPO9/8zRnAuOpVrIam1/bIgFJJvle3djHR9f5NmiA184/+O2B9jxYL5njVT6l7tBYZtwbTdJF33yvCOyIxnFCCGFPEpQUYhYteX/lCoSE6BfVrs21xV8TvKwN8RfiqexXmehu0VQrVc0u4y9M3N3zOfsQGAjffgsvvIDvwmX8/sgo6pSYye6zO5hYrCXru6ynuGfxfI0hc+KtuZkSabgmhCjspPqmkLKoAsNkgq5dYc8eKFeOtDWr6LSxF7EnYilVrBQ/vPIDgXcF2u0cXN5zz8GECQCUHxnBzw9Po6R3SX4++jPtlrUj1Ziar8NlrpgymbI+ZzJBRISOhYKCrDR+IYSwMwlKCiGLl7wfOVLfVvD2Rq1YQe+9E1j912qKeRRjTac1PFTuIbuehyPYvb/H4MH63k9KCg+8/QHrQ5ZS3KM43x38jt7reudpEb909mwcJ4QQDmGLrFtrkeqb7CyuwPj664zSX7VggRoVPUoRjnIb7aZWxK+w2/gdafly/b1L/zaA/tzmZbQXLyp1zz36C3booNYeWKPcRrspwlERWyPyfThz5xEYKOXAQgjnYen1W2ZKCpm8tD7PtuR9TAz06KE/Hj6cubVuMHrLaABmvDSD0AdC7TJ2R7J4dskaSpfWzek8PGDJElpuPsknL3wCwLBNw1gStyRfh7NH4zghhHAEKQkuZBYv1jkkSUl6Vd/bJSXpduWLFkGnTsCxY/DYY3DuHLRpw5ZJfXl2YQvSTGmMDBrJ2GfG2v0c7M1pFr+bNAnefRe8veG33xhw5iumbZuGt7s3m17dxFP3PGXDLy6EEPYjC/IVEflqfX7tmr7injsHjzzC4emjaRvZnjRTGh0e6sCYZmPsMmZHs2h2yRYGDtSl2MnJ8PLLTGoUTuv7W5NsTKb1t605dOmQjQcghBDOTYKSQibPFRiNFbz+um6SdvfdJC1dQMiaTly8fpEGlRowr/U8DAaDQ87BVnJKYnWa/h5ubvDVV1ClChw8iPvAQSwMW0iDSg24eP0iIYtDSExOtPEghBDCeUlQUsjkuQJj4oSMPAbjsqV02jGUfef3UdG3Iis7rKSEZwlHn4pV5VYina/ZJVsrUwa++QYMBpg7F591P7Km0xoq+1XmwIUDdF3RFZMy3fk4QgjhgiQoKYTuuOS95xoYMULv/NlnDEv5jnUH11HMoxirOq6isn9lx56Ald0pifX8eSfr79G0qc4tAejRgwqJJlZ0WIG3uzer/1rN2C2un+cjhBDmSKJrIWa2o+tf+3W7z6QkeOstlr7dlA6RHQBY3HYxHWt3dPCorSuvSawffwwvvwzBwTqHpHZtvT0iQs8uRUbauXolJUX/nHbvhhYt4Pvvmf/n13Rf1R2AVR1X0er+VnYckBBCWI+l128JSlzJ5cvw+OO6XrRJE+IXfcJj8xtxNfUqQ54awoRnJzh6hFaXn0XqLl3K58J6thYfD/XqwY0bMG0avPMOfb/ry2e/f4aflx/b/7edB8o+4ICBCSFEwUj1TVFnNOpkikOHoFo1riz4krAVHbiaepVmAc348JkPHT1Cm8hPEqvT9feoVUsnCAEMGQJxcUx5fgpPV3uapJQkWn/bmoQbCQ4anBBC2J8EJa5i+HBYvx6KF0etWMEbvw3lwIUDVPKrxLftvsXDzTXXXsxvEmv6wnqdOulHh7dkf+utW2XCr7yCp1GxrP0yqvhX4e+Lf/O/Nf/LVyt6IYQozCQocQXffquTJgC+/JJPkn9m6b6leLh5sKz9Msr5lHPs+Gyo0C9Sd7MKh7Jl9UKJH35IOZ9yRLaP1D+//cuY+ftMR49SCCHsQoKSwm73bt2PBGDIEH59sgqDNwwGYHKLyTSq2siBg7M9l1ikrnx5mHkz8Bg/Hnbu5IkqT/DxszrQHPjjQHae2unAAQohhH1IoquNma2QsdYF8vx53UL+6FF44QUuLfuaR/+vPscTj9OxdkcWhS1yuQZpOYmKcrIk1pvy9fPv0AGWLoWHHoKdO1FeXrRZ0oZVf63i3rvuZVfPXZQsVtKu4xdCCEtI9Y0TMnehDAjQ7+zze6HMdnFrmIr7C8/Bli1QowZq2zbabujBigMrqFG6Brt67sLP28+ap+P0bBoAWiDfP/8LF3RAcu4cDB0KERFcvn6Zel/U48h/R2j3YDuWtltaZAJNIUThJdU3Tsaaq9Ka61a6sNwAHZD4+cGqVXz+zxJWHFiBp5sn37b9tsgFJOBcSawW/fzLloXZs/XHH38M27ZxV/G7WNJuCZ5unkTuj2TG7zPyNY6cWu8LIYRTUk4sISFBASohIcHRQ8mXtDSlAgKUCglRymjM+pzRqLcHBur97mT5cqUMBv2a2FilkpKUOjRsjlKgFKiYoavUn2f+VN5jvRXhqCkxU2xzUiLPCvzzf+UV/fO9/36lrl1TSik15Zfpim5NlEf7rmru8n/y/LsTEJDxq6JAf758ecHOTwgh7sTS67cEJTYQHa0vALGx5p+PidHPR0fnfhyzF7eYGKU8PZUCteD+MSog0Kge+OQhRTjqpYUvKZPJZMUzEZYo8M//4kWlKlbUOw0ZcjO4MGUJLqoFmHINLswFs7Gx+nODQQITIYRtWXr9lts3NmCtVWm3btX5CMOH32yffvKkTkZITYW2bbl37giOHHbjwM6yVPCtwJetv5R8AydQ4J9/6dIZt3FMEycxvu1O6tQxZL0NVDvn20BGo85lCQ7WrfcbNgRfX/24cqXePniw3MoRQjgfCUpswFqr0ma5uF2/Dm3awJkzOjFh/nxqP3zzx3elEgvaLHDpfiSFiVV+/iEhmDp0xM1kZJn/66xclpoluFi1ykDLYGU2uMgWzGbi5qbX/jl8WO8nhBDORIKSAsgpidBaDb0yLm57FfTsCb//rt9Fr1wJvr4ZF7eODZvQ/N7mVjwzURDW+vnHdpjOBcoQmPgnbpM+zvKcmxsMH2YwG1xYa6ZOCCHsTYISC5mriKlRA5Yt0xeJ9MZdBWnolX5xi39jEixYoF+wbBncey8mE4wbb6L43aeZ2/c1e5yyyCNrNXQ7dqMc7zBdfzJmjF7AL5P04OLUqaxV/daaqRNCCLuzUY6LVThromtOSYQNGijl4ZG12sHbO+vngYH5SzL8Zfg6ZcSgFKh/Bn2mEhN1omTLYKPCYFST5x622XmKgjFX/ZKfn79OmDWpS41e0i9+8sksJTvpCbMDP1+d5XXWrP4SQghLSPWNneT0Bz89UAkOzhqoBAfrC0f//voik68LQXy8Uv7+SoFa6NtTwa0KDI8yR1XXcSusfXrCytLS9M990aL8//zTf9e6P3tMmXx99Q9++nSllP7dCw42KY8yR5XPh/7q8OXDWV6bOXCOiVEZwaxU3wgh7EGCEjsxV+5pk3emly4pVbOm/mJBQSrtWrLauClN1ew5StGtiWo8p4lKM8pbXVeXHlzMrDNTKVAmX1+1Y8Wxm8GFSdV6e4QiHNV0flNlNBmzvbYgMzVCCGEpKQm2E3NJhFavdkhL0+ug/P033HMPREbiXtyLnd6T+bvSaHzv38nXYV/i7ubMq8wJawgLg8hImJj4Jr/wFIYrVzjRpg9xexWRkQbWjOlOCc8SbD6ymRnbZ2R77aFDEB0Nixbpx4MHHbsWkBBC5EaCknwyl0Ro9WqHgQNhwwYoUQJWr4Zy5Yg/H8/70e8DMP2F6QTeFZj/wYtCKSwMDv7jhte82RjdPWnNag5OXEFYGFQvXT1jNeEhG4dw8OLBLK91ptb7QghxJxKU5JO5ck+rVjvMng2ffqpfN3QBi/c/wqafjHRf2YMUYwov1niR7o92L9A5iMLH3R0e7/4Q7kPf05+/0xcSEgB467G3eCbwGa6nXee1Va9hNElXNCFE4SRBST6ZK/d89FGoVAnGjStYXwqio6FPHwAmlhpHnQ/a0LkzPNvcnZ1Dv6X4wS58EfKFdG0tykaM0LXnp07pjwE3gxvzWs3Dz8uPmOMxTP1tqoMHKYQQlpGgxALp9/n37oVGjeCuu/Q1Yu1aaN3awr4Uhw7pvuFpaSykM1sbD8tynOcbVebGom/YvrGK3c5TOKHixW+tJDxzpv7lAKqVqsaU56cAMPKnkfx98e88H1JWEhZCOAuDUkrdeTfHSExMpGTJkiQkJODv7+/o4WRjNOrk1dOn9a2ZCxfg3Xd10mu6wEAdkOSaXPjffzq6iY/nD6/H+fDZzSxdUzxL0qzJBKGhirg4AwcPSm5Akffaa/DVVzphadcu8PREKcULC1/gx39+5OlqTxPdLRo3Q+7vO6Ki9Do5mX9nAwL0bKAkxAohLGXp9VtmSgrg9iTCdu0sqHZIr7SJjye5bGVeTFnJ4PeL51DFY76tuCiCJk2CMmV0wtJUfbvGYDAwO3g2Pp4+/Hz0Z77Y+UWuh4iK0r+zdepknd2rUyfnxf6EEMKWZKbE0fr0gRkzoEQJ1o/8hReH1yUpSS+8drukJPD31wFPp072H6pwMl99pWdMSpSA/fuhWjUAPtn2Ce9kPhQ0AAAgAElEQVSsfwc/Lz/2v72fKv7Zb/kZjTo1pU4dvZRS9lk5He/IrJwQwhIyU1IYffaZDkgMBli4kGJP1gVkzRKRR6++Ck8/DdeuQb9+GZvffuxtGlZpSFJKEm+tewtz7ztkJWEhhDOSoMRRfvgB3nlHfzxhAoSGZpQbjxuvClbFI4oGg0Enu3p46H42q1cD4O7mztxWc/Fy92Lt32tZsm9JtpfKSsJCCGckQYkj7N8PL7+sI43u3XV2LHqaPHx8EmvXKlq1Nlm8uqwoQh56SGeqAvTtC1evAvDg3Q8yIkiXDPf7vh8Xrl3I8jJZSVgI4YwkKLG38+chOBgSE/XU++ef63e8N0UX7wvt2/HTb+do1EjnkDRqpC8SkZFFpyJCylTz4f33dT7JsWMwdmzG5qGNh1K7XG3OXzvPoB8HZXmJuSaA6WRWTgjhKBKU2FNyMrRpo2/WV68Oy5eDl1fG05v+3cRXe77C8OBKfvz9cL7XLHGVC3lUlE7CbNYMOnfWjzVqSDVIjnx84JNP9MeTJ8O+fQB4uXsxJ2QOBgx8vedrog9HZ7zEXBNAmZUTQjic1ZcGtCJnXCXYYiaTUl276qVaS5ZUKj4+y9PXUq6p6tOrK8JRb697O9+HN7cibEBA4VsRNn1V3JAQvRJzUpJ+1KviFr7zsatWrfQP/umn9e/bTW+tfUsRjqr5aU11I/VGlpfISsJCCFuw9PotQYm9jBun/+K7uyu1YUO2p4dtHKYIR1WeXFkl3Mjf+brKhTwtTV8gQ0KUMhqzPmc06u2BgXo/YcaRI0qVKKF/z775JmPz5euXVYVJFRThqNGbR2d7WVqaUtHRSi1apB/l+yuEKChLr9/Sp8QeIiOhfXv98axZ0KtXlqf3n9/PI58/QpopjRUdVhD6QGieD+1K/SY2b9a3amJjoWHD7M/Hxur8muho3axOmBERoet8y5eHv/6CkiUBWBK3hI7LO+Lt7s2fb/1JzTI1HTxQIYQrkz4lzmrnTt1PAqB//2wBiVKK3ut6k2ZKo9X9rfIVkIBr9ZuQMlUrGDgQataEs2fhgw8yNr/80Mu8UOMFko3JOfYuEUIIR5OgxJZOnYJWreD6dXjxRZ05eJtv/vyGLUe3UNyjONNfmJ7vL+FKF3IpU7UCb2/dlA/04549gG5BP+OlGRTzKMZPh39i4d6FDhykEEKYJ0GJrVy/ru+dnDoFtWrpkpjb7p9cvn6ZwT8OBuCDJh8QUCog31/GlS7kUqZqJc89p28Xmkzw9tsZ38x777qXD57WsycDfxjI5euXHTlKIYTIRoISW1AK3ngDfv8dSpeGNWsy7u1nNnzTcM5fO0+tsrUY+ORAi76UK13IpUzViqZM0aXCv/4K33yTsXlQo0E8ePeDnL92npE/jXTgAIUQIjsJSmwhIkLPjHh46CTX6tWz7bL95HZm75wNwMyWM/Fy98q2T15YciF35n4mYWH6W7Z3L0W6eVyBValyK6fk3Xfhsp4V8XL3YsZLMwCYtWMWO0/tdNQIhRAiG6m+sbZVq3Q0ALpb65tvZtvFaDLy+JzH2XV6F10f7srXbb4u8JeNitLdxo8cubUtMFAHJJkv5Ob2CwjQgY0zXfCNRp2ce/q0vvUUFFR0Zkisdu4pKfDooxAfr2/jpOeaAF2iurBo7yKeqPwEMW/E4GaQ9ydCCOuR6htncOAAdO2qP377bbMBCcDMbbPZFeNHiQNvEFpsmlVmKsLC4NAhcu0CGxUF7drp8uHMMyp16ujtztQx1d1dl/126qQfi0pAYtVutl5etwKRWbMykl4BJj03CT8vP7ad3MaXu7+846GceXZNCOFCrN4xxYoKVfO0xESlHnjgVkfNlBSzu81b+J/yLHPC7p1XpTGZ87NZE7z27fUvWuPGWTq9To2dqghHlfmojLp47WKu43KFbsFCCPuRjq6OZDIpFRam/1pXqqTUmTNmd9MXHZMKDjbavfNqdLQeXmys+edjYvTz0dG2G4PImU2DxqNHb3V6XbAgY3OqMVXVmVlHEY56c82bZl/qKt2ChRD2JUGJI02YoP/ge3rmeNVPS1OqUtUbKjjY6JCZikWL9BCTksw/n5ion1+0yDZfX+TO5kFj+jIHFSoolen/089HflaEowzhBrX9xPYsL5HZNSGEpSy9fktOSUFt2KDbqYK+f2+uPzqw5WcTp457M2KEW7bOq0rB88/rzquffmqb+/Wu1M/EFdm8Cd6gQTo55cwZGDs2Y3NQtSC6PtwVhaLP930wqVt15a7ULVgIUThIUFIQJ0/qTEyTSfcl+d//ctz129gtQPaLTnpiY58++vMBAwqQ2JgLV+pn4opsHjR6e8P0mx2Dp03TFTk3ffzcx/h5+bH95Ha+3nOrEsyVugULIQoHCUosZTTCK6/AxYtQr56eJTEYzO56+fpllhybBmS96NizGkYakzk3uwSNL70EISGQlgZ9++opOqCCbwU+aKJ7mgzdOJSEGwmAzK4JIRzARreTrMKpc0rS79H7+Cj199+57tpnXR/FB26qWNlTKiTEpIxGx92vN1dJERgoCYvOIHNSaUyMzvOJibFyUuk//yjl7a1/8JGRGZuT05JVzU9rKsJRg34YpJSSnBIhhOUk0dWeYmOVcnfXf9jnz8911z/P/KncRrspwlGjZu7JuOh89pnjqmHS0vRxFy3Sj3JRcR52CRpHjtQHvucepa5ezdj8/cHvFeEojzEeKv58fMZ4bB4oCSFcjqXXb+noml8JCbpL5pEjOp9k4cIcb9sopWj+dXOij0TTtlZbIl+OzNZRNSkJfH2zvzYpSbdYX7RIfxlRdNi8m+21a/DAA3D8OIwaBeHhGU+1WtyKNX+voUX1Fqzvsh6DwZDnbsFCCJHO0uu3BCX5oRR06aLbWgYGwu7dZhfaS7cifgVhS8Pwdvcm/u14Au8KBPRF59NPdVJrbKz5gp3YWL3mS3S07mgqhFUtWwYvvwzFiumk14AAAA5dOsRDMx8ixZjCqo6raHV/K6Bot/0XQuSftJm3hwULdEDi7q6nMHIJSG6k3WDQj4MAGNxocEZAAvrlfftKNYxwoHbtdA/7Gzf0NMhNNUrXYNCT+vMBPwzgRtoNoOi2/RdC2JcEJXl17hy8847+ePToHPuRpJsaO5XD/x2mkl8lhjYemu15qYYRDmUw6BJhd3dd5rVxY8ZTw4OGU8mvEv9e/pdpv01z4CCFEEWNBCV5NWCAXv790UdhyJBcdz2VdIpxW8cB8NGzH+HrZSZpBH0/PjIS9u7Vt2r8/fVjXJzeLvfrhU3VqQO9e+uP+/WD1FQAfL18mdB8AgDjto7jdJI0IhFC2IcEJXmxfr2+XePmBnPmgIdHrrsP2zSMq6lXaVilIZ3rdM5137ys7iuEzYweDWXL6ryS9BWFgS4Pd+Hxyo9zJeUKI38a6cABCiGKEkl0vZOrV3XryiNHYOBAfc8lF9tObKPhXH1rZ3uP7TxW+TE7DFKIApgzR3cj9vfXEXG5cgDEHo+l0bxGGDCwo+cO6lWs5+CBCiEKC0l0tZVRo3RAUq2afleZC6UUA34YAEC3R7pJQCIKh+7doX59SEy8tY4T8GTVJ+lcpzMKRf/1/XHi9y9CCAsYjbB5s67f2LzZNuuu5ZcEJbnZtQumTtUfz5xpvqFIJkv2LSH2RCw+nj6Mbz7eDgMUwgrc3eGTT/TH8+bBjh0ZT01oPoHiHsXZemwrkfsjHTRAIYS1pa+71qwZdO6sH22x7lp+SVCSE6NRT2mbTNCxo143JBfXU6/z3ob3ABjaeCiV/CrZY5RCWEejRnotJ6V00uvNWZGqJavy3lP69/rdDe9mlAgLIQove667ll8SlOTk66/1TEmpUnpV1TuYEjuF44nHqepfNaPPgxCFykcfgY+P/uu0cGHG5ncbvUtlv8ocTTjKlNgpDhygEKKgjEbdmig4GFau1N0tfH3148qVevvgwY67lSNBiTk3buhcEoCRI6F8+Vx3P510mohfIgCY8OwEinsWt/UIhbC+SpX07zvAe+/pt0+Aj5cPHz37EQARv0Rw5soZp7wXLYS4s61bdZrk8OG6oDQzNzcYNgwOH9b7OYIEJebMmqXXBalS5VYfh1yM/GkkV1Ov8kTlJ+hUWxaqEc7rjsHEgAFQvbruJz/+Vl5UpzqdeKzSY1xJuULXcSuc8l60EOLOTt9sO1S7tvnn07efdlB7oiIZlOT6hzkxEcbpxmeEh0Px3Gc9dp/ezZd/fAnA1OenYshhcT4hHC1PiW3e3rduV06ZopvoAG4GN6Y8PwX2t2HjR29Sp45yunvRQog7q1hRP8bFmX8+fXv6fnZn3cWKrcvSpY9zY25p+ICATEuwf/CB3nj//UqlpuZ6LJPJpJrOb6oIR3WM7Gi1MQphbcuXK2UwKBUSolRsrFJJSfoxJERvz/j9V0opk0mpF17Q/w9CQjI2p6Up5Vf+vAoONiqjMevxjUa9a2Cg3k8I4ZzS0vQ1LyRE2fT/saXX7yIVlNzpD/PaeWeV8vHRf4wjI7O8Ni1NqehopRYt0o9paUqtOrBKEY7yHuutjlw+YpUxCmFtFv0Rio9XysND/1/4/nullP69B/1/xpyYGP18dLQtzkIIYS2Zr4UxMUolJupHs29SLCRByR3k5Q/zl/599V/Vxx7T7xZvMj+7YlIV33hbEY4atnFYgccnhK1YHEwMGnRr1jA5WS1apD9NSjJ/nMRE/fyiRVYcvBDCJsxd1wIDrROQKGX59bvI5JTcKeM4vNthOid+rjdMmKBXUSXneu7ateH0vE/w/+c1s6sAC+EsLE5se/993XL+r7/gs8+c/160ECLPnHXdtSITlOT2h9lohLtnj8WLVA4FPoexyTMZ23Oq5161ykDLluD90yf4eDhoXR4h8sDiYKJkSYjQpe6MHk1QzbMEBOiiHJMp664mk941MBCCgqw1ciFEXlhaou/uDk2bQqdO+tHd3XZjzKsiE5Tk9Ic5KgoaBp6l3AbdLOqVw2MyKhLuNLsyYrgb50/6OayeW4i8CArC8mDitdegQQNITMT9gxFMngxr10JoaNbqm9BQvX3SJOf4wyZEUeGs7eItVWSCEnN/mNNvzfQvMRtvUjA+1pBpsQ0zyhtXrdL7OWs9txCZ5fRuyd2dTMEE+Qsm3NyyrIsTds8OIiNh714DjRrphYUbNYI9f6YRGen4qV8hihJnbhdvMeuktNiGLatvtm5Vqlo1pdq0TFamChWyZOilJ76mb5ZqA+Hs7ljqnsM+eU5se+UV/YInn1TKZFJpaUr99JNJ1eo1RtGtieqy7FWbnZsQIjt7lfZaSqpv8uj2P8x/hy/QH1SqpFRKSsZ+6QFHxYrO+0MXQqn89SAxV9p+O7P7nDx5q1z+m28y9t1xcociHEU4auepnbY9USFEBmcv0ZegJB/S0pQaOVL/wNIaPK4/GDs2yz7p5Y39+6f/wTfZrJ5bCEtZ+91SrjMuERG3IvXExIzXdFneRRGOajq/qTJlKqUXQtiOs5foS0lwPri7Q/Pm8AS/4b5jO3h5Qc+eWfZJT4ht3RoiI2H77htZ7qHHxSH30IXDWXNxrTvdn14ZaH5dnHHPjMPb3ZvNRzaz7uA6656gEMIsVy3RL5JBCejE12E+OoFPdeqs+zHcdHtFQkjrVPzfrQfdmtJ6+BKnqecWwlqLa+VlOfOBw7wxTpqiX5BpXZxqparxzhPvAPDehvdIM6UV9LSEEHdQoKo6J1ZkgxL3s6cIubEMgAGH++VakfB/u/6Pg5cPcPdD+/n6gxedpp5bCGu9W8rzjEvJEHj+eUhJ0VHMTcOChlGmeBniL8Qzd9dcy05GCJFnBaqqc2JFNihh1izcjGlcqBXEqmN1c7w1k5icSPjmcABGNRmFv7c0ShPOw1rvlvI843LGoFcR9vCA1avhhx8AKFWsFKOajALgg80fkJScZOEZCSHyKiyMmyX6uEx6QdEMSm7cgNmzASg7pl+urXY//vVjzl87T80yNelZv2cuBxXC/qz1bilfMy4PPAB9++oN/ftDaioAbzZ4kxqla3Du6jkmxUwq+MkJIe7IWdvFW8qglFKOHkROEhMTKVmyJAkJCfj7W3GGYv586N4dqlaFf//V7/rMOJl4kvs+vY/radeJejmKNrXaWG8MQlhRVJS+m3LkyK1tgYE6IMnLHyejUXeBrFNH55BkvoVjMukAJy5O/7Fzdwf++w9q1oTz53V+yYABAETuj6T9svaU8CzBob6HqOhXyLLshBBWYen1u2jOlLRooRcbGz48x4AE4P3o97medp2nqj5F6AOhdhygEPlT0HdL+Z5xKVXq1ro44eFw7hwAbWu1pWGVhlxLvcaozaOsfp5CCNdWNGdK8uCPU3upO7wfXKnAjA7v82bYg4UuYUiI/MrXjIvJBI8/Djt3whtvwJw5APx67Fcaf9kYN4Mbe9/ay4N3P2i38QshnIOl128JSsyIioJub53nyrm7M7YFBOh3koX1Pp0QeWU06mqc06d1DklQUC45KTEx8NRTYDDA9u168T4gbEkYKw6sIKRmCKs7rbbf4IUQTkFu31iJbiClaPp4GddZ4EiIfMjXcuaNGkHXrrr5a79+GSVAEc0jcDe4s+bvNWw5ssUewxZCuACZKclEJ/spatdWrFrldudkPyEEnDqlk16vXoWvv9ZBCtB7XW9m7ZhFg0oN2NZjG24GeQ8kRFEhMyVWoBtIGRgxwq3ALbuFKDIqVdKJ4wBDhujpRXRfH18vX3ac2sHSfUsdOEAhRGEhQUkmx07ofgsFbdktRJHTv7+uKT59GsaNA6C8b3nea/QeACN+GkGKMcWRIxRCFAISlGTyW8IKwPUWOBLC5ry9YepU/fGUKfoeJzDwyYFU8K3Av5f/5fMdn2M0wubNsHixfjQaHTZiIYQTkqDkpsvXL7M4sTcepY8zbrxyqQWOhLCLli3hxRd1h9ebzdR8vHwY3XQ0ACNm7OTe6iaaNYPOnaFZMz25IsnjQoh0EpTcFPFLBP+lXKRi28msc7EFjoSwC4NBz5Z4esK6dfof8Hrd16l8oi9XFnzJw3UMUtUmhMiRVN8AxxKOUfPTmiQbk1nTaQ0pccEFatktRJH23nswcaKeBomLw+jhTeWA6zz2qLdUtQlRREj1TQG8H/0+ycZkmlRrQsv7WrrcAkdC2NXIkVChgv5PNG0aW7fC2RPFpapNCHFHRT4o2XNmD9/s+QaAj5/7GIPBAOSzgZQQ4hZ/f/j4Y/3x2LH8t+8kIFVtQog7K/JBydBNQ1EoXn7oZR6v/LijhyOEa+jSBdXwSbh6lcDPhwBS1SaEuLMiHZT8dPgn1h9aj4ebB+OeGefo4QjhMqJWutH66CeYMPBI3EKauP/Chx8iVW1CiFzZJSiZOXMmgYGBFCtWjPr167PVCW4em5SJ9zboxk696veiRukaDh6REK5Brx8FNGjA+VZvALCkXF/WrzPSqtXtVW1KqtqEEBlsHpQsWbKE/v37M2LECHbv3k1QUBAvvvgix44ds/WXzn1ccUvYeXonfl5+vN/kfYeORQhXYTTCoEEQHAwrV0L5OeOhVCnKn/6D7T2+YMsWvYafv79+3L77OpGRkkQuhNBsHpRMmTKFN954gx49elCrVi2mTZtG1apVmTVrVrZ9k5OTSUxMzPLPFpLTkhnx0wgA3nvqPcr5lLPJ1xGiqNHrR8Hw4bqyhrvvhrFjAagXNZIN314EIKjrFujWFN/BdQlpneq4AQtRhP134z9afNOCTf9ucvRQMtg0KElJSWHnzp20aNEiy/YWLVoQExOTbf+IiAhKliyZ8a9q1ao2GdecXXM4/N9hKvpWZEDDATb5GkIURekVNFkqbXr10l3SLl2i3oqRAHR/7gnK1z7AP//9zRc7v7D/QIUQfPTLR2z4dwN9vu+D0eQcaz7YNCi5cOECRqOR8uXLZ9levnx5zpw5k23/YcOGkZCQkPHv+PHjNhnXKw+/wvDGw4loHoGPl49NvoYQRVF6BU2WShsPD/j0UwA8582mLrsIrFqMUU1GATB6y2iSkpPsPFIhirYTiSeY9ttUuu2GiUFjcXdzjqQuuyS6pvf+SKeUyrYNwNvbG39//yz/bKFksZKMaz6Obo92s8nxhSiqgoIgIADGj7+t0qZJE1THThiU4gvvvgQ1VvSo14OaZWpy/tp5JsZMdNSQhSiSRkWPIvSPZOavgpavjIG0NEcPCbBxUFK2bFnc3d2zzYqcO3cu2+yJEKLwc3eHyZP1OlG3rx/V/cJEruBDg+QY3BcvwNPdk/HPjAdgcuxkTidJ9zQh7CHuXByrY79k+vf6c0P79npG0wnYNCjx8vKifv36bNiwIcv2DRs20KhRI1t+aSGEg4SFQWQk7N2btdLm538qc6SLzinhvfcgMZGwWmE0rNKQa6nXCN8c7tBxC1FUDN04lInrFeWuAQ89BEOGOHpIGWx++2bgwIHMmTOHefPmER8fz4ABAzh27Bi9evWy9ZcWQjhITutH1Z47AO67D86cgTFjMBgMTHxO37qZu3suBy4ccPDIhXBtW45sIXn9Ol7bA8pggDlzwMvL0cPKYPP5mg4dOnDx4kXGjBnD6dOnqV27Nt999x3VqlWz9ZcWQtiR0ahLgk+f1gmvQUF63ags3L3hk0/gxRdh+nR4/XUaP9iY1ve3ZtVfqxi2aRgrOqxwxPCFcHlKKd5fN4j5a/Tnhj59oGFDxw7qNgallHL0IHJi6dLHQgj7iorSTdOOHLm1LSBA55eYbYzWpo3urtasGWzaRPyFA9SeVRuTMvFL91946p6n7DRyIYqOZfuWcaTny7wbA8YqlXHfHw9+fjb5WpZev4v02jdCiIJLbytfp07WxNY6dfT2qCgzL5oyBYoV0/d1li2j1t216FG3BwDvbngXJ36vJEShlGJMYcFXAxkYqz93n/W5zQKSgpCZEiGExYxGqFFDByArV97s4nqTyaQrcOLidD5JtrVtRo+G8HCoXBkOHOC0SqLGpzW4lnqNqJejaFOrjT1PRQiXNvPXaTzZbgB1z0Bq+7Z4Lo206deTmRIhhN1layufiZsbDBsGhw/r/bJ57z29PPDJkzBuHBX9KjLoyUEADN00lFSjtJ8XwhoSkxO5Nmo4dc/AjZI+eH46w9FDypEEJUIIi5ltK59J+vbT5lqQFC8O06bpjydPhr/+4t1G73J3ibv5++LfzN091+rjFaIoWji3P/1/ug6A5+f/B07cJ0yCEiGExcy2lc8kfXv6ftmEhMBLL0FqKvTrh5+XLx80+QCAUZtHSft5IQro5NlDNAufj4eCEy81xr1jJ0cPKVcSlAghLJZjW3n05xER+g5NUFAOBzAYdGmwlxf8+CNERdGzfk9qlK7BuavnmBw72danIIRL29czlAfOKy6U9KTyV85fbi9BiRDCYrm1lQ8N1dsnTTKT5JpZjRq3Okr274/XjVQimkcAMClmkt3bzxuNsHkzLF6sH43OsXiqEPl2eOV8nl2zD4Dz08ZjKFvWwSO6MwlKhBAFklNb+bg4vd1sn5LbDR2qp1xOnIAPP6RtrbY0rNKQq6lX7dp+PipKx0jNmkHnzvqxRo0cypqFcGZJSZTo2Rs3BRubBVDrtcGOHlGeSFAihCiwnNrK5ykgAShRQt/GAZg8GcNff2W0n5+zew7x5+NtM/BMLOq3IoSTOt2jI+XPX+dIKQiYt9zRw8kz6VMihHAOSunE13Xr4Nln4ccfabM0jJUHVtLq/las6rjKZl+6QP1WhHAyphVRuIW1xQR8Mr41/YettPsYpE+JEKJwS0969faGjRshMpIJzSfgbnBn9V+r+fnozzb70gXqtyKEMzl9mtTXuwEw/WlPOvf7wsEDyh8JSoQQDpMtqTSgus4vARgwgPuLVaZn/Z6AbdvPF6jfihDOQilM3V/D+78r7K4AN94fTjmfco4eVb5IUCKEcIickkpX3j8E7r1Xd3odM4ZRTUbh4+nD9pPbWbpvqU3GUuB+K0I4g5kzcfvhR264w8Cud/NOk/ccPaJ8k6BECGF3uSWVhnUpzq8dP9U7Tp1K+SPnee8p/cd1+E/DSU5Ltvp4CtxvRQhHi49HDdYVNu89B107TaCEZwkHDyr/JCgRQtiV0QiDBkFwsE4qbdgQfH3148qV0LIltJv3Esfrh0JaGuqt3gxqOJCKvhX59/K/zPx9ptXHZJV+K0I4SkoKvPIKhhs3+KE6bAmuTbdHujl6VBaRoEQIYVe5JZWuXAm7dsGZM9B45zSuUgLDL1uJfzeKsc3GAjD257Fcun7J6uOySr8VIRwhPBx27eJicejeGj56fiLuboUzgpagRAhhVzkllabf0qlfX89Q7EuqxsXeeh2cqp++S9k/W1O7XG0u37jMuJ/H2WRsBe63IoS9bd0KEyYA8L8QeOjRZ3m++vMOHpTlpE+JEMKuNm/WSa2xsfqWDeTSJyQlBfXooxji4/nGrzdlfm9Fy29fwNPNkwN9DnDvXfc66jSEcLyEBHjkETh6lHmPQo9QAzt77qRuxbqOHpn0KRFCFA7mkkpzvKXj5YVhxgwAuiTNovzmMrSo3oJUUyrDNg2z99CFcC79+sHRo5wq6807L8Krj7zqFAFJQUhQIoSwK3NJpf/+q58z2yekWTNSX+6CG4qAj3ox8ZkJGDCwdN9Sfjvxm13HLoTTWLoUvv4a5eZG+1bJGH2K8+EzHzp6VAUmQYkQwu5uTyp94w29Pac+IXu6TuI/SlLm8E4eXhHDa4++BsDgHwfbrKGaEE7rxAno1QuAmc+VJOYeGPTkIKr4V3HwwApOghIhhENkTipdsEA3JsupT8jo2RWY4D8egLQhwxlTsw/FPYrz6/FfWR5feBYbE6LATCbo3h0uX+ZMrar0f/wy5X3KZ/TyKewkKBFCOIy7OzRtCl26wGefme8T8sQTsH49TEx8k+08hsfVRHY9NpHgtHkADKNbLOUAACAASURBVNk4xCYN1YRwBrcvxWD6dAZs3IgqXpxWLyWQ5g5jmo3Bz9vP0UO1CglKhBBOIac+ITt2wAsvwK+x7tTe+jnKzY1WV7/lv/DSlDr8Ov9e/pfPtn/m6OELYXW3L8XQq9kBUgboGZFZjdvz+4W6PFimDq/Xfd3BI7UeCUqEEE7D3C2dkBBYtUqXD5doXA9Dnz4AzPd5G7+NH4HJjbE/j+XCtQsOHr0Q1pNtKYZLqURX7koxdYMfaMHbG+bDV5u59NE2Vq/0cPRwrUaCEiGEU0m/pVO5sm60lq1MeOxYqFiRSlcP8frJz6ie1J2E5ATGbBnjqCELYVXmlmI43mscFU/uIMnzLsqumkdSkoHYWHisbnHatdNBjCuQoEQI4ZRy6vyKvz9Mnw7AMCLoXSwUgJm/z+TAhQN2HKEQtnF73x5j7HbuW6rLfX3mz6R+q8pZ1osKDobBg3UwU9hJUCKEcEoVK+pHs2XC7dpxueELeJNC9/VTCLkvGKMy8t4G16hAEK7n9oTV3AKILAH5tWskd+iKB0YuPNcRt84ds+zr5gbDhsHhwzqYKewkKBFCOCVznV/TmZSB93xmct1QnLt2RzP7cmM83DxY8/caNv27ySHjFSIntyesNmumP8/plkuWgHz4cEoc/5uTVKLYnBlm90+fTUwPZgozCUqEEE7JXOfX9DLh0FCY+1Mg/3QZBUDFURMZfN9rAAz8cSBGkwvMYwuXkC1h9ebvcJ065JgLkh6Qrxq4JeNW5RvMJe5UabNfI302MT2YKcxkQT4hhFOLitJJf0eO3NoWGAiTJkFYSCrUqwdxcVx/pTN3F0/g6iU/Bj3XhY96BONeOFdvFy4ix4Um0bN/oaE6oDh4kGy/q6sWXqHOKw9zL4c5E9yDhnv/jzp1dCVafo6TeSxbt+rZlIoVdeBjy/8fFl+/lRNLSEhQgEpISHD0UIQQDpSWplR0tFKLFunHtLRMT8bEKAVKgWpCdPqH6p5qRrV8uYMGLITSv6ugVGys+efTf3Wjo808+dZbSoE64X6P8iMh4/e6ZUuTiolRKjFRvz4kRCmDQeX6u758uVIBARn/TRToz235/8PS67fcvhFCOL30MuFOnfRj5nd4Uaef5HP0OiDf39OLpAvJxMbCw3UMLlUqKQqfHCvIyLo9Wy7Ixo0waxYAFb6bxxNjPoW2nbgndA779mVtLhgXp5sOhoWZ/xqW3D5yJLl9I4QotNKnxxs+8B+Ldj+A4exZCA+HUaNuTmsr4uIMuU5rC2ErmzfrpNbYWF2+e7vYWB1YREfrYBuAhAQdMRw/Dr17s23YqzScq1/8+/9+p275Bnm+DVOQ20cFZen1W4ISIUShleWP/tEl0LEjeHnBnj3wwAPm/+gLYWU55WtYFBT06AFz58K992L6YzeNlrRg28ltdHukG/ND5+drXBYFRVZi6fVbbt8IIQqtLNPjL78ML70EKSnQsyeYTC5VKimcU27lvneqIFu7VidsZwQkGzbogMRggC+/ZOG/q9h2chu+Xr5ENI/I99gsvn3kQBKUCCEKrSz9HAwGmDkTfHz029Y5czJKJcuVlxJhYX255Wu0bQtjxkBysr6jePtCk9lyQZKS9CwJQJ8+XGlYjyEbhwAwMmgkFf3yX++bawNCnLOUWG7fCCEKLbPT49OmwYABqJIlefWxfXy728i0td/xdsNejh6ucCG53ZqJjITu3eHKlVvbqlWD11+H++7LIRfk7bd1UB0QAHv3MmJbBON/GU/1u6qzr/c+vD28rTpGZ80pkZkSIUShZXZ6/LW+XHmgAYaEBFpt7E9a8/588PMILl2/5OjhChdy+/o06aKi9J3E9FyO9NmThx/WMybe3tkryNiyRQckAHPm8G/qOSbHTgZgcovJFgUkYMHtI2dg9eJkK5I+JUKIvLi9D8PD/KFScVcKVJ9e9yjCUW+ve9vRwxQuZNEi/buWlHRrW1qa/j0MCVHKaMy6v9GotwcG3tZn5+pVpapX1wfr2VMppVSbb9sowlHPff2cMplMBR6ruT4lgYHO2adEbt8IIVzC7RUQT383FLeJH3GjQlnKvXaBq8Xd2P3mbh4u/7CjhypcgLnKFouqXQYOhKlToUoViItj08UdPPvNs7gb3NnTaw8PlXvIKuMtLB1dPWw3JCGEsJ/0BmsZHv8AoiIp9s8/LNtVnRca/UO/7/sR3S0ag8HgqGEKF5F5wcj0fI18V7v89pvOgQL44gtSfUvwzsJ3AOj9WG+rBSRg5v+Hk5KcEiGEaypRAr74AoDnf/yH5ie82HJ0C8v2L3PwwIQrMJevUbKkfi5P1S7Jyag33gClOBz0KpuLv8inv81k3/l9lC1RlvCm4fY4DacjQYkQwnU980xGmeW3P/jhnQqDfxzM1ZSrDh6YcAVhYbrSJr3ct2VL8PCADz/U1S2ZmUwQEaEXkwwKgv3dJmDYv59z3E2DrVNo1gyGtm4H+9sQ0TyC0sXNrwjs6iQoEUK4tokToWJFyh6/yORt/hxPPM5Hv37k6FEJFxEWBocO6TyRRYvg/ffhu+9yr3b56dN91FgyDoCEsZ9yNKkMsbHQ4smKsGw5pQ6/7uCzchxJdBVCuL6VK6FNG0zubtTrYeJAFW/29d5H9dLVHT0y4YKiomDQIF0ynC4wUAckrYON7PFvTL3k31DBIRhWr9KN/4DUVHi6ieKfQwYWLzZTOlyISJ8SIYTISWgotG+Pm9HEsvV+pKUk0299P5z4PZkoxG6fPYmO1g3KwsLg30EzqJf8G2kl/DDMmpkRkERFwf+3d+dxUVf7H8dfAwhoiksuqdGF0laxcimlqCxbBSGXym5a2WJmi5llLr/UrkuZZVdMW26ZZZgbaZrpbcGyJDO1q2Z19bqn5VaguAAz5/fHCQEFHLZZmPfz8eAx8J3vzJzvMA/Oh3M+53POPRe+TXewdy907Jhfrj6QKCgRkcCQnAx169J820Ge/jaIRRsXseC/C7zdKqmi8la79OhRYMRj2zai3hwCQO7oF+wyYEouV9+tW2AFJpq+EZHAMW0a3HMPOdWCiXnQydFmf2NDvw3UqFbD2y2Tqs4Yu2Hk4sV8RRyh3yylXWyQV0vBVyZN34hIwHA6baGqGTPsrdPd/fZ69YKbbqJajpPpH4ey449tjF1W+t1XJXCU+bN2og8+gMWLMaGhjGzyBmOeD8LlKr5cPdifBw+GLVvseYFAQYmI+JWStoo/JYfD1i6pVYs2W7N5bAWMWz6Ojfs3Vnq7xf+U67NW0IED8LgtiuYYNox+yeezcKGhc6KLL7+0p7hdcK2KU1AiIn6jQubeIyPtMghgbFoQkXuyefSTR5X0KoVUaJ7HwIGwdy9ceCEMGkTnpFzOeuBJliz/lREj7CluFVwLAMopERG/UKFz78bY5Q1ffMFXZ9ThmtgbGZ7Ql2E9r/areXupHBX6WfviC7juOvv9N99AbCwT0icw4N8DqBtWn3/FbKJv79pcdhnMn6+cEo2UiIhfKO3ce4m5AA4Hi7v9iyzHaVz125/0TY1jxL1Xc845roBa6SBFq7A8jyNHoE8f+33fvhAby87MnTy79FkAxt0wli6dajNlCnz8cckF1/wpICkPBSUi4hdKs9nZqXIBUlPhln7RTL/oeQAmnTaI1XO3EBPjCLglmHKyUm+sV5xRo2zBkiZNbI15YMCSARzKPkT7M9vT+1JbufXEcvUREfZ2/Xp7vEuXCrgoP6GgRET8Qt6c+qnm3jduLDkXYPZsW20zPh4eWPMwXHUVjqwsLk3uzfwPDfHxhoEDy7HKwgMqbEWIFMndz1qJeR7r1sG4cfb7SZOgdm2WbFrC7A2zCXIEMaXTFIIc+V1wSQXXAorxYRkZGQYwGRkZ3m6KiHhZbq4xUVHGJCQY43QWvs/ptMejok59zhlnGAPGpKf/dcemTcbUqGEPTpxoli+336aleeKqSm/uXHuNNjHGfkVF2eNSPrm59vc+fboxjRuX/DmKjrbnF8npNKZdO/vLSUoyxhiTlZ1lzv7n2YYRmP6f9K/U6/AFZe2/FZSIiN+YO9cYh8N2CsuXG5OZaW8TEuzxkSNPCDhOkBdwgDEHDxa4Y9Ike7B6dXNw9X8NGJOS4pFLKpWC15+ebq8hPT3/+hWYlF1RwR4YEx9f9GetxPf61Vftg2vVMmbnTmOMMYM+HWQYgWn6UlOTcbTq92kKSkQkIBTVeURH2+MpKUUEHAVkZuY/plDg4nQac+21xoDJiIk1QeSaWQv3GGPy/3tOSbG3xf53XMncGSkq8b/3AFfS77G4YK9NG2NCQor+rBVr504bjIAxycnGGGN+2P2DCR4ZbBiBmf/z/Mq8TJ+hoEREAkZxHUxaWskjJcuW2fvr1rX/ARfq3LduNa6/OpOnagwxSSldfWqq5FTX5uvTTt5U0u/xVMFefLyd8ps+3c2gtEsX+wKXX25Mbq7Jdeaatm+0NYzAdJvVrbIu8STeDqYVlIhIwCupg5k925iaNQt3TJ06FR6an9jyTWPAHAkKMuffdJ1xOFw+M1Xi7iiQL047edOpprzcnfJzK9ibN8+eHBJizH/+Y4wx5pX0VwwjMLXH1ja7MndV2HWVxBeCaQUlIiKm6LyTMWPssfj4/I5p7NiTg5ToKJfZfenNxoD5Lvhik3jLUZ+ZKtFISem5M+XVoEEFBXuZmcaceaY9edAgY4wx2/7cZk4bfZphBOa1la+V/4Lc4Ct5RwpKRET+cuJ/iiEhRUzXGGOys41p3952TJ999leQsXOnya5Zxxgw2+8fUeTzeyMAUE5J6bkbyFVIsPfYY/bEs882JivLuFwu0+n9ToYRmCvfvtI4Xc5TPEH5+dJnpKz9t+qUiEiVU7Dmw7BhkJsLQ4eeXJ2zWjV46SW7LUlw8F9VM5s2ZeU9kwE4c+o/YOXKk57fG5ukBQfbti5cqMqf7nK3CFrDhjBmjC3rXpDLZWueRUdDXFwJL/Tdd5CcbL+fMgVq1GDmjzP5eOPHhAaH8kb8G4VqklSWqrDjsIISEamSgoPhmmvsHmhQuuqc2V178AG343A6oWdPOHy40GO8tUmaKn+WjrtF0Pr1K0ewl5MDDzxgB1zuugtuuIE9WXt4ZNEjAAy5cggXNLigYi+sGBVWidaLFJSISJVWluqccXHwfORk9oc3gV9+gUGDjt/n9n/PlUSVP90XFwdRUaceBRk6tBzB3ssvw9q1cPrp9nvgkUWPsP/Iflo2asnguMGVdn0nqpBKtN5WSdNJFUI5JSJSXmWdZ58715gbWXw86SBr3r/dL54lPuNUBfcK/h5LvYx20yZjwsPtZ2TaNGOMMXN+nGMYgQkeGWxW7VpVWZdVpKqQU6KgRESqvNJ0TCc+blqtfsaA2UkTU5f9JirapYDEz5RUcK/MXC5jOna0T3bddca4XGZf1j7T8MWGhhGYoZ8PrbD2l0ZZP+sVraz9t8MYY7w7VlO8zMxMateuTUZGBhEREd5ujoj4sdRUuxHf1q35x6Kjbb5AScPzzoOHOXLBxdT8dROz/taA76bcw/ibx5WpDU6nTTLcvdsOocfFKTHVUyr8vX/vPejVC8LD7bxPs2bclXoX7697n4saXMSqB1cRFhJWYe0vjbJ+1itSWftvBSUiEjDK3DGtXIkrtj1BuU7uTYQHkr8hNjK2VK9dVEcRFWVX1CgfxM/s2wfnnw/799vElGeeYcEvC+j8QWeCHEF8e9+3tG3a1qtN9HYAXNb+W4muIhIw8lbk9Ohhb93+I922LUHP/QOA5EXw7Jt3cjjn8CkelC81Fbp1g5iYwqs7YmLs8dTUUl+KeFP//jYgadkSnnyS/Yf302dhHwAGth/o9YAEyvFZ9zKNlIiIuMPpJLfD1YQs+4bvmsCM1/oxIWGSOw+jWTMbgMybV7h+hMtll52uX29X0PhLxxHQPvkEbrnF/iLT0zFt23L7nNuZvWE259c/n9UPrqZ6terebqXXaaRERKQyBQcT8v4MciJqctkuqP/iq3y59ctTPqwqFLSSvxw8CH3siAj9+8Nll5GyLoXZG2YTEhTC9FunKyApJwUlIiLuioyk2r/eBmDwMpj88h1kHsss8SElFbRyOuGPP+z3n39ufxYfNmQI7Nhhs0afe44dGTvot6gfAM9e9Sytm7T2cgP9n4ISEZHS6N6d7J5/Jwh4cdpvDJ7Vp8TTiytolZpqp3U6dbI/jxplf1Z+iY9avhxefdV+/8YbuGpU597595JxLIPLm17u0SJpVZmCEhGRUgp9dQpHoppyViZ0HPMBs9bPLPbcoqqKKvG1eE4nLF0KM2bYW58YPTp2DO6/35Y4uece6NiRSd9N4vMtn1M9pDrv3vouIUEh3m5llaBEVxGRsli1itx2lxGS6+LphOo8+t4vRNaOLPLUvCAkPh6eftpukdKypRJfT+Szy6aHD4fnnrM79/30Ez85f6fVG604mnuUV295lYfbPuzFxvkmJbqKiHhS69Y4xr0IwD8WHeG5CUk4XUX/W19wI724ONi2TYmvJ/LZ0aO1a20tEoDkZI5G1OCOuXdwNPcoN55zI33b9PVSw6omBSUiImUU3P8JDt10HWFOeDp5NRM/G13suXkb6Q0bZn/2551cK5rTaUdI4uPt6FG7dlCzpr2dN88eHzjQC1M5OTl2uiYnxw5hde/OU/9+irW/r6VBjQZMTZyKw+HwcKOqNgUlIiJl5XBQ8/1ZHDqjHs0PQKOnRrDq1++LPT04GK67zn7v1zu5VpC8/JERI3x02fQLL8CaNVC3LkyZwvxfPmLSSlubZlrSNBrXCoBfkocpKBERKY969Tht9nycQQ7uXGuY/dQtJS4TLirxNY/LZWcKoqPteVVZ3uqjDh3syiPwsdGj9ettHglAcjI7a+TS+6PeAAxoN4Cbm9/swcYEDgUlIiLl5LjySo49OwSA4bP3Miq5O8WtIQgOtombCxfaGYGC+RNJSfb4+PFVO8n1xPyRRYvscZ8ZPcrNzZ+26dwZ5x238/fUv3PgyAFaN27N2I5jPdSQwKPVNyIiFcHl4o+OV1I3LZ2N9WDpzJdpHvJEsRui+cJOrt5QVNl9nyvF//zzds6oTh3YsIHn/vsmw5cOp2ZoTVY/uJrmpzf3QCP8m3YJFhHxtv37ybyoORG//0FqtZvpmvMxYBMhi1ra6u2dXL1h6VI7ZZOebhNZ8+SNnnTqZHNLWrSwgcjYsXb0aM4cDwVrGzbApZdCdjZMm8bnVzblhuk34DIu3k16l54X9/RAI/yflgSLiHjb6afz/ROLyaYaXXI+YctjE0pc2uqvO7mWR3Fl9wsum46NhYgIe7t+vQcDkpwc6NXLBiSdOrEzsQN3zL0Dl3FxzyX3KCDxAAUlIiIVxOmE+167jLdiJgAQ9erT1Pzha+8vbfUhxZXdBxt4TJ9uvx82DNLS7JSNx6az/vEPWLUK6tUje8okus+5jX2H93HJGZcw+ZbJHmpEYNP0jYhIBTk+NbHc0G7SXZCSYnvh1avhjDNIT7f//ael2ZGRQORz+SN5VqyAK66wDZw5k0drLmPSyknUCa/DqgdXcXbdsz3YGP+n6RsREQ8pbn+W41MTMQ54/XW48EJ7sFs3yM4OyMJoJ/LJ1UdZWdCzp/1F3nknKRfkHq9H8t6t7ykg8SAFJSIipVCwvsadd9rbvN19C01N1KwJH34ItWvDN9/A44+7tbTVJzekq2A+kT9S0NNP26GZpk3ZMPxhHljwAABD44YSf268hxsT2BSUiIi46VT7s+zde0JhtHPPtVM4Dge89hrf93mdqGhXsYXRSgp4qpq8svtpafYt8nj+SJ4lS2CyzRfJeO2fJCzuxeGcw3Q8uyMjrxnp4caIghIRETe4sz/LoEHw4osnTE3E3cK2PnZPnD7rHuXGdo8TFHRyKp/PbkhXiby++mjfPuhtq7Q6H3mYxH3JbP5jM9F1opnRdQbBQQGwHMrHKNFVRMQNxdXXyPP117bOyLBhUK0aTJ1asDCaYUH1rsQf+ZDdNeHD6UN5OHHU8cf6UvJnwNROMQYSE2HBAsx55/HoqCt49ce3qRVai/T70rmo4UXebqFfU6KriEglKq6+BthRjLvust+PGgXDh9s+b+TIvKkJBzfvfpf9zZrQ+BC0eXg081alHH/8smW+sSFdIE0fkZwMCxZAaCgfDE3k1R/fxoGDGV1nKCDxIgUlIiJuKK6+Rt60S8uWhaddWra0u9+Ghf01NVG7JvUWf8WhiHAu2wWuu3uyYns6UHLAU/B4Za7aCajpozVr4KmnAPjpmfu5a8t4AF68/kU6ndvJmy0LeJq+ERFxQ0Xt2ZL75VLMdddSzWmYcG0NkuasZ9t/okucGqrs+ia+NH1U6Q4dglatYONGMm/qwFlXrSIjO5N7L7mXtzq/hcPh8HYLqwRN34iIVKKi6mssWVL6aZeQq6/B+cZrADzxxWFef+wKWrT5o/CqnQJcLrv/S3Q0xa7aKS9fmT7yiEcegY0byW3amNjYn8jIzuTKs65kSqcpCkh8gIISERE3nVhfo9NfI/2lnXYJ7/0gmQMfA+C5lN2MGn0tL7yY47WCYr4wfeQR770H06ZhgoK4t3soP7p+48IGFzL/jvmEhYR5u3WCghIRkVIpWF9j2DB7rKh9XAoeL6pYWsQLE/gz4XpCXfB///yBb35NYNYsp1cKipW0H03B4yUVffN5a9dCnz4AvB3flOl1ttG0VlMW/30x9arX83LjJI9ySkREyqjcuRhHjvBn+1bU+c/PbK0NyRPu4IWeKXz9tcOjS3JLex1+t2z4jz+gTRvYvJnVLRvSNmkPETXq8PW9X2ulTSVRTomIiIeVex+X6tWp8+lXHPxbY6IyoNfgD3j2o0e4+mrj0YJiJV3HX6U8SEy0gcicOX62bNjlsuu1N29mb8OadLxpD9WqhfHRHR+VOSAJhK0AvMb4sIyMDAOYjIwMbzdFRKRYc+caExVljK1OYr+io+1xt2zebLLq1zYGTNrfMKOX/F+ltrc4RV1HWFjhn8GY+Hhj0tONOXjQ3iYkGONwlOJ6PWn4cGPAHAsNNpf0wQSNDDJzN5S9oUW9R1FRPnrtXlTW/ltBiYhIBcjNNSYtzZiUFHubm1vKJ1izxhytYSOA2RdgXvn6pUpo5anlXUf//jbQSEiwgceffxrTpIkNSJzOwo9xOu150dFluO7KtGDB8cihZxLGMcJh3vvPe2V+urlzC78nfhGUeUlZ+2/llIiI+Iq0NHJvvJ6QHCevtYbDE8czIPZJjzejqByTU5XZr+xaKqX2yy+Yyy/HkZHBpLbwWCcHUxOncvcld5fp6QKqlksFUE6JiIi/69CB4OkpuBzw0CpwPDmQMV+N9ngziqpb4lfLhvfuxdxyC46MDL6JhAE3wpsJb5Y5IIEAq+XiRQpKRER8iOO223C8+S8AnvgWgoYM49kv/g9PDmoXFYD4zbLhI0cwiYk4Nm9mcx249XaYmDiF+1rdd9KppUlY9augzI8pKBER8TGO++6DyZMBeOYbCH5uFM989ozHApOiApC4OLxaddYtLhfOXj1xpKfzRzh0+juMvG0yD7V56KRTS7v5oN8EZX5OQYmIiC/q2xdeeQWA4V9C8PPjeHDBg+Q4cyr9pYsKQAouG05M9HzVWXdkD3qK4DlzyQ6C7j2CGf7QDPq27XvSeWXZfNAvgrKqoBKSbiuMVt+ISMAbN+74CpKhHTA3vHu9yTha+X8TC640Wb7cmMxMe9umjTEhIeVY/lxJDiW/fLxB93cLNYs3Li7yvNxcu4Q3IaH0q4iKe0+0+uZkWhIsIlJVjR59vMMdF4uJebWF2ZGxo9Jftrj6K7NmlXP5cwX79bUXjdNhG/jCdeEmfUd6seempdnrSC/mlOXL7f1paUXfX+6aNAGirP13iHfHaURE5JSGDIEaNeCJJ3hqOUQcW0/7w5ex4K5FXHLGJZX2sl265Fdy9dWS8qsnDaPl46MJMjC9/Wl0ev9bLmpUTDYq5U9Y9Yf3xJ8pKBER8Qf9+0NEBOaBB+izykWtY7u5+kgskzq/Ts+Le1baywYH+0jdkRMYY5j70n10HjSVEBd8ckVDrl/0A40iSs40LZiwWlS9FXcSVn31PakKlOgqIuIvevfG8cEHmGrVuHM9pLx3hL4ze9FnQR+O5h71dus8Jis7i+dHXk/8M1MJdcHKuLO57outpwxIQAmrvk5BiYiIP+neHcf8+ZjwcDpthK/fhkVpbxD7Viz/O/C/46dV1U3jVu1aRb8B5/HYmM8Jd8Lmq1rS5rOfCA2t7tbjy72JolQqlZkXEfFHK1ZA586wZw+/13KQcLvhv+fUZnKnyYT9twcDBzrYujX/9Kgo2xl36eKtBpeP0+Vk/PLx/GfiEN6Z6yLUBfuvvozTl3wFYWGlfr7UVHjySQq9R9HRNiDx1/fIl5S1/1ZQIiLir7Ztg4QEWLeOY9Uc3JVkmOO4FcfsucTHw5AhDlq0sHkSY8bAggUwciQ0b175CZpOZ8Ulg+7I2EGveb1oMXMp//zEDvEf65pI2PszyxSQVEYbpTAFJSIigSgzE3r0gEWLABgb/gjfXvsSHy4ILbRHy5w5cO+9cOhQ/rHKGj0pahSiLK+V48xh4oqJjFg6nGcWZzH0r31lTL9+OCZOPHkTGvEZ2pBPRCQQRUTARx/Z1TnA4KOTeG9XR4J27Tx+Smoq3HZb/i6/7lQwLauyVEstytKtS7nk9UsYtmggybPyAxJGjcKRnKyApIrSSImISBXxzWMziUl+gAgOwumnw7RpOG/qRLNmNiiYN69wX+5y2eTO9eth48byT104nZT7tbb+uZWhXwwlZV0KZx+AeXOCidnlxAQF4Xj9dbj/fk27+AGNlIiIBLicLrfTitUcOq8V7N8P8fHs6vEkv209wpAhJw8uBAXB4MGwZYvt5Mtr2TI7ZVOW19p0YBO95/emeXJzUtalkPgzrHsrXeHG/wAAC/1JREFUlJhdTmjQAMeSJXD//aXeSE/8i4ISEZEqIi4OnFHN6HXOcswjjwIQOftl1hHDxXs/K/Ixp6pgWhplqZb6454f6flhT86bdB5Tf5gKObnM/O5vzPsAamRlQ2wsrFkDHTtW2NSQ+C4FJSIiVUReDY55n4SRuG0iP4/7iCOnN6UZ/6N65+vh7rth375Cj8mrYFqvwbFyv37BaqlFyTtes95BXvv+Ndr9qx0tprRg+trpuIyLJ017MmadzW2LttkTBwywRVaaNsXptMmz8fF2aqhdO6hZ097Om2ePDxxYdeqxBKpKDUpGjx5NbGwsNWrUoE6dOpX5UiIigl3dMmcOrFsHFzydQKP9G5jkeBQXDnj3XTj/fJgyBbKzcblg9BgXIadvp8u3Dbht9m18sP4DMo9llum1T1UtdcxYQ0SjfXRb0Yi+H/dlxa8rCHYE0ysynj0bb2X8yHRq/LIZ6te3F/HSS1CtGlC+qSHxH5UalGRnZ9O9e3f69u1bmS8jIiIFdOkCmzZBWhq8nhLBgRETiSWdrbVibK7Jww9z9G/nktzqbZYsdFI74R8cdh5k9obZ9JjbgwYvNuCKt6+g/+L+TF87nZ/3/YzLuE75uvnVUg1JSabQFEvnRBcLFxoyr36QbHOEmIYxTLj2RfY3fIlpg7+jwfsf2ifp3Rt+/hm6di303OXdSE/8g0dW37zzzjv079+fP//8s8Tzjh07xrFj+UOImZmZREZGavWNiEg5pabCoAE53LjtdYYwhibY3vtg4+bUfH4Yq688h7lbPib1p1R+2f/LSY8PDwmn0WmNaHhaw+NfwY5gjjmPcTT3KMecx8g4msHGAxvZteJyQj77J7kHIo8/PuT07UR2m0i3rkH0OCeJSz5Zg2P8+PxiJhdcAK+/XuymM0uX5i9pLmojvfR0m36SlqbN8nyBTxdPczcoGTFiBCNHjjzpuIISEZHyy1tKu2fbEVqtmMI5s8fiyMsxqVsX7roL7ruPjWfWYMWvK/h+1/d8v+t7Vu9ezZHcI6V6rXphDWi0vxtNaE3cRc3o27UFDbNy4J134JVX4Pff7YkNGsBTT8Hjj0NoaIlt99TSZim/KhGUaKRERMSDDh2CSZNg8mTYsSP/eJs2dvqkQwdo3ZrcIFvq/fes39mTtef4l8u4CA8JJyw4jPCQcE4LPY1z6p5D89ObU696PftcO3bYYZq5c+HrryGvyznrLHj6aTtdU929zfTyVt/Ex9sckrwS+mPH2o305szRvjW+wmNBSXGjGQWtXLmSNm3aHP/Z3aDkRCqeJiLiAU4nfPopvPUWzJ8POTn599WqZadUrrwSzj4bIiNtQNG4sR2SMMaef+wY/PEH/PijzbJdtw7WrrVfBbVtC488Ykvj/5XEWhrFlbC/917P7Okj7vFYULJv3z72nbCk7ERRUVGEh4cf/1lBiYiIn9i7F2bNgs8+gy+/tIFGUYKDISTEBiMlcThsQNO1K9x6qw1oSqGo6q2Qf2zjRpg6tfz77EjFKmv/HVLaF6pfvz7169cv7cNERKQMPF5SvUED6NfPfjmddqQjLQ1WrbJTMdu3w6+/Qm7uyUVBQkLgvPPsvEpMjP267DI444wyNeVUG/ulpsKIEXY6Z8YMCu2I3K2bpnP8UamDktLYvn07Bw4cYPv27TidTn744QcAmjVrRs2aNSvzpUVE/F5F7bZbZsHBcOml9qsgpxN++83ehoUV/qqgjfIK5o8UFXDMnGlTUvKKqeW9bF4xtaQkW0wtMVFTOf6kUhNd77nnHqZNm3bS8bS0NK5xY82Wpm9EJFAV7JSHDCncKVf1pE53VtqsXGnjIi0R9k0+vfqmrBSUiEggCvTlr+7WJAFbnK2ogfeDByEiAlJSbE6teJZ2CRYRqSICvaS6u9Vb4dT77OTtxyP+QUGJiIiPCfSS6u5u7Ne4cfH77IwdC9HRxRaIFR+loERExMeUplOuik61sV9ewDFxos2vSUqi0D47SUn2+PjxVXN6qypTUCIi4mPc7ZSr6ihA/sZ+JQccect+162zOSYREfZ2/fqqnQhclSnRVUTEB6mketFLoqOjbUBS8No9XstFTkmrb0REqhh3O+WqTAGHf1JQIiJSBalTFn/ksTLzIiLiOcHBKv4lgUOJriIiIuITFJSIiIiIT1BQIiIiIj5BQYmIiIj4BAUlIiIi4hMUlIiIiIhPUFAiIiIiPkFBiYiIiPgEBSUiIiLiExSUiIiIiE9QUCIiIiI+QUGJiIiI+AQFJSIiIuITFJSIiIiITwjxdgNERMQ7nE5Ytgx274bGjSEuDoKDvd0qCWQaKRERCUCpqdCsGXToAHfeaW+bNbPHRbxFQYmISIBJTYVu3SAmBtLT4eBBexsTY48rMBFvcRhjjLcbUZzMzExq165NRkYGERER3m6OiIjfczrtiEhMDMybB0EF/jV1uSApCdavh40bNZUjZVfW/lsjJSIiAWTZMti6FYYMKRyQgP158GDYssWeJ+JpCkpERALI7t32tkWLou/PO553nognKSgREQkgjRvb2/Xri74/73jeeSKepJwSERE/V5qlvYGSU6Llzt6lnBIRkQBU2qW9wcHw0kuwcKENQAquvklKssfHj/fvDlzLnf2XghIRET9V1qW9XbrAnDmwbh3ExkJEhL1dv94e79LFs9dRkbTc2b9p+kZExA9VxDRMVZviCJSpKX9Q1v5bZeZFRPxQ3tLeGTOKX9obG2vPu+aaop8jOLj4+yqaJwKginhPxLs0fSMi4of8aWmvp3I8/Ok9kaIpKBER8UP+srTXkzke/vKeSPGUUyIi4of8IX/C0230h/ckUGhJsIhIAPGHpb2eLmnvD++JlEyJriIifipvae+TT9oEzjzR0Z5d2ltcEqs3cjx85T2RslFQIiLix7p0gcRE7y3tTU21AcDWrfnHoqLsiEXBHI927U5+bGXleHj7PZGyU1AiIuLnPLm0t6C8JNb4eLsMt0ULG2iMGWOPz5xpA5QxY4rO8Rg71o5gxMVVfNu89Z5I+SjRVURESs3dpNJx4+C222zgMnhwfuAydqzN8dCUStWk4mkiIuIx7hYqq19fOR7iPgUlIiJSaqVJYu3RQzke4h6fDkryZpYyMzO93BIRESkob0R+xQpo2/bk+7/7Lv+8vD/hrVrl35+VVbntE+/K67dLmyHi0zklO3fuJDIy0tvNEBERkTLYsWMHZ555ptvn+3RQ4nK52LVrF7Vq1cLhcFToc2dmZhIZGcmOHTuURCsiIgGpsvpCYwwHDx6kSZMmBJ2YdFQCn56+CQoKKlWEVRYREREKSkREJKBVRl9Yu3btUj9GZeZFRETEJygoEREREZ8QsEFJWFgYw4cPJywszNtNERER8Qpf6wt9OtFVREREAkfAjpSIiIiIb1FQIiIiIj5BQYmIiIj4BAUlIiIi4hMUlIiIiIhPCMigZPLkyURHRxMeHk7r1q1ZtmyZt5skIiLiMV999RUJCQk0adIEh8PBvHnzvN0kIACDkpkzZ9K/f3+GDh3KmjVriIuL4+abb2b79u3ebpqIiIhHZGVlcfHFFzNp0iRvN6WQgKtTcvnll9OqVSumTJly/NgFF1xAUlISY8eO9WLLREREPM/hcPDhhx+SlJTk7aYE1khJdnY2q1at4oYbbih0/IYbbmD58uVeapWIiIhAgAUl+/btw+l00qhRo0LHGzVqxG+//ealVomIiAgEWFCSx+FwFPrZGHPSMREREfGsgApK6tevT3Bw8EmjInv27Dlp9EREREQ8K6CCktDQUFq3bs2nn35a6Pinn35KbGysl1olIiIiACHeboCnDRgwgJ49e9KmTRvat2/PG2+8wfbt23nooYe83TQRERGPOHToEJs2bTr+85YtW/jhhx+oV68eZ511ltfaFXBLgsEWTxs3bhy7d++mRYsWTJgwgauuusrbzRIREfGIpUuX0qFDh5OO33333bzzzjueb9BfAjIoEREREd8TUDklIiIi4rsUlIiIiIhPUFAiIiIiPkFBiYiIiPgEBSUiIiLiExSUiIiIiE9QUCIiIiI+QUGJiIiI+AQFJSIiIuITFJSIiIiIT1BQIiIiIj7h/wEyJ+0w13CqSgAAAABJRU5ErkJggg==", | |
"text/plain": [ | |
"PyPlot.Figure(PyObject <Figure size 640x480 with 1 Axes>)" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
}, | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": [ | |
"w=[0.143835, 8.85696, -102.733, 1070.82, -5759.2, 16525.7, -27302.2, 26171.0, -13525.9, 2913.45]\n" | |
] | |
} | |
], | |
"source": [ | |
"srand(293874)\n", | |
"datapoints2 = linspace(0,1,100)\n", | |
"data2 = sin.(2π*datapoints2)\n", | |
"\n", | |
"kernel = Normal(0,0.2)\n", | |
"noise = rand.(kernel, length(datapoints2))\n", | |
"data2 = data2 .+ noise\n", | |
"M = 9\n", | |
"w = least_square(datapoints2, data2, M)\n", | |
"prediction=predict(w,x);\n", | |
"plot(x, y, color=\"g\");\n", | |
"plot(datapoints2, data2, lw=0, marker=\"o\", markeredgecolor=\"b\", markerfacecolor=\"w\");\n", | |
"plot(x, prediction, color=\"r\");\n", | |
"yticks([-1,0,1]);\n", | |
"xticks([0,1]);\n", | |
"ylim(-1.4,1.4)\n", | |
"println(\"w=\",w)" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"### 正則化" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"$$E({\\bf{w}}) = \\frac{1}{2} \\sum_{n=1}^N \\{y(x_n, {\\bf{w}}) - t_n\\}^2 + \\frac{\\lambda}{2} ||{\\bf{w}||^2}$$\n", | |
"を最小化することを考える。\n", | |
"\n", | |
"今までと同様に、$E({\\bf{w}})$最小の時、各$w_i$について\n", | |
"$$\\frac{\\partial{E({\\bf{w}})}}{\\partial{w_i}} = 0$$\n", | |
"と考えると\n", | |
"\n", | |
"$$\\sum_{j=1}^{N} y(x_{j}, {\\bf{w}}) x_j^i = \\sum_{j=1}^{N} t_j x^i_j + \\lambda w_i$$\n", | |
"\n", | |
"$$\n", | |
"\\left(\\begin{matrix}\n", | |
"\\sum_{j=1}^N x_j^0 -\\lambda & \\sum_{j=1}^N x_j^{0+1} & \\ldots & \\sum_{j=1}^N x_j^{0+M} \\\\\n", | |
"\\sum_{j=1}^N x_j^1 & \\sum_{j=1}^N x_j^{1+1}-\\lambda & \\ldots & \\sum_{j=1}^N x_j^{1+M} \\\\\n", | |
"\\vdots & \\vdots & \\ddots & \\vdots \\\\\n", | |
"\\sum_{j=1}^N x_j^M & \\sum_{j=1}^N x_j^{M+1} & \\ldots & \\sum_{j=1}^N x_j^{M+M}-\\lambda \\\\\n", | |
"\\end{matrix}\\right)\n", | |
"\\left(\\begin{matrix}\n", | |
"w_0 \\\\\n", | |
"w_1 \\\\\n", | |
"\\vdots \\\\\n", | |
"w_M\n", | |
"\\end{matrix}\\right)\n", | |
"=\n", | |
"\\left(\\begin{matrix}\n", | |
"\\sum_{j=1}^{N} t_j x^0_j \\\\\n", | |
"\\sum_{j=1}^{N} t_j x^1_j \\\\\n", | |
"\\vdots \\\\\n", | |
"\\sum_{j=1}^{N} t_j x^M_j \\\\\n", | |
"\\end{matrix}\\right)\n", | |
"$$\n", | |
"となる。\n", | |
"といわけで実装していく。" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 330, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"least_square_ridge (generic function with 2 methods)" | |
] | |
}, | |
"execution_count": 330, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"function least_square_ridge(data_x, data_y, λ, n_dim)\n", | |
" N = length(data_x)\n", | |
" M = n_dim\n", | |
" \n", | |
" L_matrix = zeros(M+1,M+1)\n", | |
" for i in 1:M+1\n", | |
" for j in 1:M+1\n", | |
" L_matrix[i,j] = sum(data_x.^(i+j-2))\n", | |
" end\n", | |
" end\n", | |
" L_matrix .-= eye(M+1).*λ\n", | |
" \n", | |
" R_vec = zeros(M+1)\n", | |
" for i in 0:M\n", | |
" R_vec[i+1] = data_x.^i ⋅ data_y\n", | |
" end\n", | |
" w = inv(L_matrix)*R_vec\n", | |
" return w\n", | |
"end" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"$\\ln \\lambda = -\\infty$" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 342, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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", | |
"text/plain": [ | |
"PyPlot.Figure(PyObject <Figure size 640x480 with 1 Axes>)" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
}, | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": [ | |
"w=[0.215962, 71.7549, -1431.29, 12324.3, -57160.1, 1.5604e5, -2.58376e5, 2.54758e5, -1.37326e5, 31098.0]\n" | |
] | |
} | |
], | |
"source": [ | |
"M = 9\n", | |
"λ = exp(-Inf)\n", | |
"w = least_square_ridge(datapoints, data, λ, M)\n", | |
"prediction=predict(w,x);\n", | |
"plot(x, y, color=\"g\");\n", | |
"plot(datapoints, data, lw=0, marker=\"o\", markeredgecolor=\"b\", markerfacecolor=\"w\");\n", | |
"plot(x, prediction, color=\"r\");\n", | |
"yticks([-1,0,1]);\n", | |
"xticks([0,1]);\n", | |
"ylim(-1.4,1.4)\n", | |
"println(\"w=\",w)" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"$\\ln \\lambda = -18$" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 346, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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Lvp2dyWTiuWrPcbD3QTqU70CCOYHef/fmuTnPZX+Fzr//ws8/q3OtP4mz6tlTJbAHDsCqVXpHI4RwcZKUpGaApKRwYXXcvz/tz2uPa89LV61a6pjNpOTQlUPUnV6XBf8uwMfTh0mtJ7HkuSUUCSqSres5u9DAUOY9PY/xLcfjafLk1/2/Unda3ewVwY4cqUZJOnSA2rVtH6wthYTAiy+q888+0zUUIYTrk6QkNQMkJU2aQIkSau80i+Xuz1ksqtVFyZLqeQ+kFbtGRGQ5hkVHFlFvej2OXT9G8dzF2dJzC33q98HD5No/TiaTiX4N+7HmxTUUCSrCoauHqDOtDrMPzs78RU6dgt9+U+fDh9snUFt76y11XLRIrRgSQgg7ce1XkawyQFLi6am2J1m0SBW1pl5906mTenz8+EzUrmpJya5d92c36bBarXy64VM6/NqBWwm3aFq8Kdtf2U6NwjVy9pcymMYPNWZXr120KNmCmMQYuv7ZlfGbxmeuzuSLL9T3u3nzlH8DZ1e+PLRtq2pKvvhC72iEEC5MkpLUDNLNtXNnmD0b9u2Dhg0hOFgd9+9Xj3funImLVKwIfn4qo8nEu99EcyLd53Vn8MrBWLHyeu3XWfH8CgoEFMj5X8iACgYUZNn/lvFmHVUIOmDFAN78+02SLEnpf9GtWzBtmjp/910HRGlD2mjJTz9BQoK+sQghXJYkJakZYKRE07kzHDsGq1fDL7+o49GjmUxIALy8oFo1dZ5BXUl0QjQdf+vIrL2z8PLw4uvHv2bK41OcY3ddHXl6ePJ528+Z1HoSJkxM2TGFTr91Sr8AduZMiIpSbdwfe8yxweZUq1ZQqBBcuwbLlukdjRDCRUlSktr1O7vWGiApATVF06wZdOumjlluN6IVuz6gruR67HVazmrJkmNL8PfyZ8EzC3it9mvZDdnlmEwm+tTvw+ynZuPn5cfio4tp9n0zrsZcvfuJZnNKoeg779y/ntvZeXqqHzRQoyVCCGEHBvvNaGcGGimxiQw6u56LOkfT75uy+exm8vjlYeULK2lbtq0DAzSOzhU7s7r7agrkKkDEhQjCfwjn0u1UDfgWLoTjx9XPVvfu+gWaE//7nzouWKBGfIQQwsYkKUnNnZOSe4o0j0cep/HMxuy/vJ8iQUVY99I6GhSzTyt0sxnWrIFff1VHs9kut7G7+mH1WffSOooEFWH/5f00/b4p56LOqU9OmqSOr76q+n4YUY0aqhYpLi6TmywJIUTWSFKSmrslJZUrq31+IiPVUtU7Tt44SfgP4Zy8cZIyecuwscdGqhRMp1tbDuVoY0EnVCF/Bda9uI6Hcj/Ev9f+5ZHvH+HC2sWwbp2q49E6pBqRyQTPPafOZQpHCGEHkpRorFb3S0p8fdUmOpBcV3L65mnCfwjn9M3TlM9XnvUvradESAm73D7HGws6qdJ5S7PuxXWUylOK45HH2dzvKfWJp56CsDB9g8upZ59Vx1Wr4Nw5fWMRQrgcSUo0t2+nzBu4S1ICd03hnIs6R/MfmiePkKzqvopCgYXscluzGfr1g3bt1MaC9etDYKA6zpunHu/f37hTOcVDirP2xbU09ipF+11qh91Lrzyrc1Q2ULIkNG6sknitCZwQQtiIJCUabZTE2xty5dI3Fke6k5TEbdtM+A/h/Bf5HyVDSrLqhVV2bRlvk40FnVxYcBhLbnfC2wIbikGzA/25En1F77ByTit4lSkcIYSNSVKiSd04zWTSNxZHupOURG9Zx9FrRymeuziru6+2+w6/NtlY0NklJRH4oxpN+LVZPg5fPUybn9twM+6mzoHlUNeuKnnfvTv9TZiEECIbJCnRGKxHia3EVCxDkgfku22mtqUQq7uvpnhIcbvf12YbCzqzxYvh/HnIn593Rqvlwjsv7KTDbx2ITYzVO7rsy5s3pfmbttuxEELYgCQlGncrcgWSLEl0+7sHB/OrP/9VZigl85R0yL1ttrGgM/v2W3V86SXKFa3Ksv8tI7dvbtadWseTfz5JojlR3/hyQpvC+eWXTO+dJIQQGZGkRONmSYnVaqX34t4s+HcBe4qqH4OHjl/N4Ktsx2YbCzqrU6dg6VJ1/uqrANQoXIPFzy7G38ufv4/+Te/FvTO3iZ8zatdObbp0+jRs3Kh3NEIIFyFJicbNkpIRa0cwbec0PEwePNz2JfVgBnvg2JpNNhZ0VtOnqxUqLVqoxit3NHqoEX92/RMPkwfTd01nzMYxOgaZA35+8MQT6nzuXH1jEUK4DElKNG6UlMzYOYMRa0cA8NVjX1Gt7YvqEw5OSsAGGws6o8REmDFDnffqdd+nHy/3OJ+3+RyAwSsH8/v+3x0Zne107KiO8+ff1xFYCCGyw0vvAJyGmyQla0+u5bXFakO995u8rzbXu31brTg6dw4uXlS7wTqQtrGgy1i0SC0bKlgw5YX7Hm/UfYNj148xeetkus/rTlhwGI0eauTgQHOoVSs1YnL8uBre0hrxCSFENslIicYNkpLjkcfp8kcXkixJPF35aUaGj1SfCAxUe5oAbN+uX4AGp+3hc+FDVeBqebEH+Pik+/zxrcbTsXxH4s3xdPytI8euH3NQpDYSEACPPqrO58/XNxYhhEuQpETj4klJVHwUHX7twLXYa9QuUpvvOn6HKXU/lrp11XHbNn0CNDhtD5+Xwk8Qunc5AM1+fuWBrfI9PTz5ufPP1C5Sm2ux12j/a3ui4g22+27qKRwhhMghSUo0t26pY3CwvnHYgdli5tm/nuXAlQMUDizMvKfnkcv7nq619eqp49atjg/Q4FLv4bPhhWl4YOVGvVaE1CyV4R4+AT4BLOy2kKJBRTl89TDPz30ei9VAS2zbt1dTfzt2yF44Qogck6REoyUlQUH6xmEHg1cOZvHRxfh5+TH/mfkUDS56/5NSj5RI34lMu2sPnz8TKbrsOwBC3uuV6T18CgUWYu7Tc/H19GXBvwv4aO1HDoreBkJD1YZFAAsW6BuLEMLwJCnRuGhS8seBPxi3aRwAMzvOpE7ROmk/sWpVVbR486Za/iIy5a49fJYtgUuXVIFr+/ZZ2sOnTtE6fNPuGwA+XPshC/410Au8TOEIIWxEkhKNCyYlh64cosf8HgAMbDSQZ6o8k/6Tvb1TdgyWKZxMu2sPn5kz1R+ef159P8naHj4vVn+RN+u8CcD/5vyPw1cP2zhaO9GSklWrIMpgNTFCCKciSYlGS0oCA/WNw0Zuxd+i8x+diU6MJrxEOB83/zjjL9LqSqTYNdO0vXkOr7uslgIDvPRS8uezuofPxNYTeaT4I9xKuEXH3zoaY/O+ChWgXDnVn0XrYiuEENkgSQlAQoL6AJcYKbFarby88GUOXz1MkaAi/Pbkb3h5ZKIljRS7Zpm2h8+eAT9BUpKqzalcGcjeHj7ent782fVPwoLDOHLtCK8sfMUYrehlCkcIYQOSlEDKKAm4RFLy+dbP+ePAH3h5ePFn1z8pGFAwc1+oFbvu2QNxcfYL0IV4esKE8VbqHlRTN8ebvpTjPXwKBhRkdtfZ6t/v4J9M2T7FTtHbkJaU/P23GjERQohskKQEVEdTAF/f5FoAo9p4eiP9V/QHYEKrCTQs1jDzX1yiBBQooF5Udu+2T4AuqHPxCKqynziTHzXHPWOTPXzqhdVj7KNjAei7vC8R5yNsHLWN1a+vfnZu3IB16/SORghhUJKUgMsUuV6PvU63v7qRZEnimSrP8Fbdt7J2AZNJmqhlx50CV5+nn2De6hCb7eHTp34fOpbvSII5gadmP+Xc9SWenqpnCcgUjhAi2yQpAZdISqxWKy8veJkzUWcok7cMU9tNvbtja2ZJXUnWxMWpnQQBjx4v0awZdOum9vLJypRNWkwmEzM7zqRESAmORx7n5YUvO3d9iTaFs3ChbNAnhMgWSUrAJZKSb3Z8w9zDc/H28Oa3Lr8R5JvNv4uMlGTNvHlqyqJYMWje3OaXz+Ofh9+f/B1vD29mH5zNV9u/svk9bKZFC7XXz8mTautnIYTIIklKwPDLgfdd2se7y94FYMyjY6hVpFb2L6YlJceOwbVrNojOxWm9Sbp3z/nQSDrqFq3LuJaqAV7/5f3Zd2mfXe6TYwEB0LixOl+2TN9YhBCGJEkJGHqkJCYxhqdnP028OZ7Hyj5Gn/p9cnbBPHlUzwmQHYMzcuYMrFihzl980a63erve27Qr1454czzPznmWuCQnXR3VqpU6Ll+ubxxCCEOSpARSVt8YMCl5d+m7HLp6iEKBhZjZcWb26kjupY2WSF3Jg/34o6qdaNoUSpe2661MJhMzOswgNCCU/Zf3M+ifQXa9X7ZpScnq1Sm9f4QQIpMkKQHDjpTMOzyPqTunYsLET0/8lPl+JBmRzq4Zs1rhhx/UuZ1HSTQFAwoys6OaLvps62csO+aEUyQPP6yWBt++DVu26B2NEMJgJCkBQyYll25f4pWFrwAwoOEAWpRqYbuLpx4pkVUUaduyRa35zZULunRx2G3blm2bvNT7xfkvciX6isPunSkeHtCypTqXuhIhRBZJUgKGS0qsViuvLHyFqzFXqRZajZHhI217g4cfVqsorl1TW9yK+/34ozp26eLwn5sxj46hcoHKXLx90TmXCbdurY5SVyKEyCJJSsBwScl3u75j4ZGF+Hj6MOuJWfh6+dr2Br6+UL26Ope6kvvFxcFvv6nzF15w+O39vf35pcsv+Hj6sODfBUzbOc3hMTyQNlISEQFXr+obixDCUCQpAUMlJccjj9NnmVph83H4x1QLrWafG0kTtfQtWqR6k4SFQXi4LiFUC63G6BajAei3vB8nb5zUJY40FS4MVauqqb+VK/WORghhIJKUgGH6lJgtZl6Y+wK3E27T5KEm9G3Q1343q19fHTdtst89jEorcH3+ebv1JsmMPvX70OShJtxOuM1L81/CYrXoFst9ZGmwECIbJCkBwywJnrB5AhvPbCTQJ5AfOv2Ap4cdXxC1Jlg7d6Z8fwRcugRLlqhzHaZuUvMweTCz40xyeedizck1fLXNibq9aknJsmVSLC2EyDRJSsAQ0zeHrhzig9UfAPBZm88omaekfW/40ENQvDiYzbK0M7Vff1Xfk7p1oUIFvaOhdN7SybsJD/xnIEevHdU5ojuaNAE/Pzh3Dg4d0jsaIYRBSFICTp+UmC1meizoQYI5gbZl2vJS9Zccc+MmTdRRtqJPoU3ddO+ubxypvF7ndZqXbE5sUiwvzn8Rs8Wsd0jg7w+PPKLOZQpHCJFJkpSA0yclk7dMZsvZLQT7BjO1fTZ3/80OLSlZv94x93N2e/fC7t3g7Q1PP613NMk8TB581+E7gnyC2HRmE5O2TNI7JEXqSoQQWSRJCTh1UnLk2hHeX/0+ABNaTSAsOMxxN9eSki1bpGU4pPQmad8e8uXTN5Z7FA8pzsTWEwF4f9X7HLl2ROeISElK1qxRy6iFECIDkpTEx0Niojp3sqTEYrXQc0FP4pLiaFmqJT1r9HRsABUqQP786gVlxw7H3tvZJCXBzz+rcyeaukmtZ42etCrdinhzPK8sfEX/1ThVqqjlwbGxsGGDvrEIIQxBkpLUK0ucbEnwl9u+ZMPpDQT6BDKt/TTHTdtoTCaZwtEsXw4XL6okrW1bvaNJk8lk4tt23xLgHcC6U+uYGjFV74BSGqmtWqVvLEIIQ5CkRJu68fMDLy99Y0nleORxBq8cDMDYR8dSPKS4PoFIUqJoBa7PPadqSpxUiZASjGoxCoD3VrzH2aiz+gakNZdbs0bXMIQQxiBJiRPWk1itVl5f/DoxiTE0Ld6UXrV76ReMlpRs2KCWwrqjyEiYP1+dO+nUTWpv1HmD+mH1uZVwi9cXv67v3jjNmqnj9u3S70YIkSFJSpwwKfll3y8s/285vp6+TGs/DQ+Tjv9M1auraa2bN2H/fv3i0NMff6jao6pVU/YEcmKeHp7M6DADH08fFh1ZxO8HftcvmBIlVL+bpCTpDiyEyJAkJU6WlFyLuZa8t82wpsMom6+svgF5eUHDhurcXadwUvcmcXRdTzZVKlCJoU2GAvD2kre5GqPjxnjaaIlM4QghMiBJiZMlJf2W9+NqzFWqFKxC/4b99Q5Hcecmav/+C5s3qz1unntO72iyZFDjQVQpWIWjR80tAAAgAElEQVQrMVfot7yffoFIUiKEyCRJSpwoKVl5fCU/7PkBEyamtpuKj6eP3iEpqYtd3W0fE603SevWUKiQvrFkkY+nD9PbT8eEiR/3/MjqE6v1CUTqSoQQmSRJifZLUuflwLGJsfRapApae9fpTYNiDXSN5y5164KPj1oS+99/ekfjOBYLzJqlzg1Q4JqWemH1eK32awC8tvg14pPiHR+E1JUIITJJkhInGSn5aN1H/Bf5H0WDiiYv6XQa/v5Qp446d6cpnNWr4cwZCAmBDh30jibbRrUYRaHAQhy5doQxG8foE4RM4QghMkGSEidISg5eOci4TeMA+PKxLwn2DdYtlnS5Y78SrcD16adVHxuDCvELYXLryQCMWj9Knxb0kpQIITJBkhKdkxKr1Urvxb1JsiTRoXwHOlXopEscGdJ2fHWXpOTWLfjrL3Vu0Kmb1J6q/BRtyrQh3hyvT++S1HUl0dGOvbcQwjAkKdE5KZm1dxZrT63F38ufz9p8pksMmdKwoVoO+99/cP683tHY319/QUwMlC0L9evrHU2OmUwmvnrsK/y8/Fh1YhU/7/vZsQFIXYkQIhMkKdExKYmMjaT/crXsd1jTYZQIKeHwGDItd26oUUOdu8M+JjNnqqOBepNkpFSeUgx7ZBgAfZf1JTI20rEByBSOECIDkpTomJQMWTmEKzFXqJi/In0b9HX4/bNM24p+6VJ947C3o0dVQa+Hh0tM3aTWr2E/KhWoxJWYK7y/6n3H3lySEiFEBiQp0ZYEOzgp2XZuG99GfAvAlMenOE9Pkgdp3Vodly9Xy2VdlTZK0ro1hIXpG4uN+Xj68NVjXwHw9Y6viTgf4biba0nJtm1SVyKESJMkJdpIiQP7lJgtZlVsiJXnqz1PsxLNHHbvHGnYUH2frlyB3bv1jsY+kpLg++/Vec+euoZiL81KNOPZqs9ixcobf7+BxeqgBFPqSoQQGZCkRIfpm292fMPOCzsJ8QthXMtxDrtvjvn4QPPm6txVp3CWLoULFyB/fmjfXu9o7GZ8y/EE+QSx9dxWZu6a6bgbyxSOEOIBJClxcFJyJfoK769Wc/mfNP+E0MBQh9zXZrQpnGXL9I3DXr77Th2ff14lYS6qcFBhRoaPBGDgPwO5HnvdMTeWpEQI8QDunZRYrQ5PSoasHMKNuBtUL1SdXrV6OeSeNqUlJZs2QVSUvrHY2qVLsHChOu/RQ99YHODNum9StWBVrsVeY8jKIY65aeq6kpgYx9xTCGEY7p2UxMer+W1wSFKy7dw2ZuyaAcCXbb/E08PT7ve0udKloUwZ9X1brdMGb/Yya5b6e9WtC1Wq6B2N3Xl5eCUXvU6NmMr2c9vtf9PixaFoUfV93rbN/vcTQhiKeyclqXcstXOhq8Vq4c2/30wubm30UCO73s+utNESV6orsVpTpm5ctMA1LU2KN+H5as9jxcqbS960f9GryQSNG6vzDRvsey8hhOG4d1KiTd3kygWe9h21mLlrJtvPbyfIJ4gxj+q0KZqtpK4rcXS7cnvZsgUOHVI/C888o3c0DjW25ViCfILYdm4bP+750f431JKSjRvtfy8hhKFIUgJ2HyWJjI1k0MpBAHzY7EMKBxW26/3sLjwcvL3hxAk4dkzvaGxjhppWo2tXCHbCDRHtqFBgIYY1VZ1eB/0ziJtxN+17w0Z3Rgk3bQKz2b73EkIYiiQlYPd6kmGrh3E15ioV81fkrbpv2fVeDhEYmPJu1xWmcG7fht9/V+duUOCalrfrvU25fOW4FH2Jj9Z9ZN+bVa2q/s9FRcGBA/a9lxDCUCQpAbsmJfsu7WPKjikAfNH2C7w9ve12L4dypaXBv/yiEpOyZaFJE72j0YWPp0/yhpCfbf2Mw1cP2+9mXl4pmxxKXYkQIhVJSsBuSYnVauWdpe9gsVroUrELLUq1sMt9dNGmjTquXq1WMRmV1QpfqRUovP66y2y+lx1tyrShfbn2JFmSeGfpO1jtWS8kxa5CiDRIUgJ2S0rmHZ7H6pOr8fX0NVbn1syoVg0KFVK9JoxcsLh5M+zdC/7+8OKLekeju4mtJ+Lj6cPy/5az8MhC+91Iil2FEGlw76TEjpvxxSXF0W95PwD6N+xPyTwlbX4PXZlMrrFr8BQ1tUa3bpAnj76xOIEyecvQr4H6uX132bvEJcXZ50b16qkVb6dPw5kz9rmHEMJw3DspseNIyaTNkzhx4wRFgoowqPEgm1/fKWhTOIsW6RtHdl2+DH/+qc5799Y3FicypMkQigQV4XjkcSZvmWyfmwQEQI0a6lxGS4QQd0hSAjZfEnz+1nk+Wf8JAGMeHUOgj+N2IHaoxx5T+8McOgT79+sdTdZ99x0kJKgOrrVq6R2N0wj0CeTTFp8C8Mn6T7hw64J9bqQtDZa6EiHEHZKUgM1HSgavHEx0YjT1w+rzbNVnbXptp5I7d8poibak1ijMZvjmG3UuoyT3ea7ac9QtWpfbCbd5f9X79rmJFLsKIe4hSQnYNCnZenZrclfMz9t8jofJxb/FTz2ljr//bqzurkuWwKlTkDdvyt9BJPMweTC5tZq6mbl7Jjsv7LT9TbSRkn374KadG7YJIQzBxV8xM2DjpMRqtfLusncB6P5wd+oUrWOT6zq1Dh3Azw+OHoXdu/WOJvO0ZcA9e6qVNyKZ2Qxr1sDJDQ1oYfoIq8VEn6V9bL9EuHBhKFUKLBbV5l8I4fYkKQGbJSW/H/idzWc3E+AdwKgWo2xyTacXFKRqSwD++EPfWDLrv//UiiGTCXr10jsapzJnjtoEOjwcnn0WVg5/H+8vT7F+aX5mH5xt+xvK0mCRU1arSmrfeAM6doQjR/SOSOSAeyclNlwSHJsYy3sr3gNgUONBFAkqkuNrGsbTT6ujUaZwtFqSNm2gdGl9Y3Eic+bAk0+qLvCbN6ucffNmaN2wKPw5mzcm/GP7JcJS7Cqy69Qp+PhjKF8eGjRQy/sXLFCF60ZdESjcPCmx4UjJxM0TORN1hmLBxZL7PLiNxx9Xu+ueOAE7dugdzYPdvAlTp6pzKXBNZjZDv37Qrh3Mm6e6wAcGquP8+SYefxwiFwxl/IZJtr2xNlKyZQskJtr22sJ1LV2qtoX44AM1dZwrF/zvf9Cwofo/3r49jByppgaFoUhSAjleEnzh1gVGbxgNwKePfoq/t5vVKAQEqF8C4PyrcL79Vm0EV6lSyrSTYP16OHkShgwBj3t+K3h4wNAhHiRde4hPfl7HxdsXbXfjChVU07rYWGPVJAn9XL4M3burJLZBA/jhB7h0CWbNUtteaG82hg+Hzp3V/3dhGJKUQI5HSt5f9T7RidHUK1qPblW62SAwA9KmcP74w3nfncTHw+Q7zcAGDLj/1deNXbjTiqRKlbQ/rz0eFxnCsNXDbHdjDw+ZwhGZZ7WqnbwvX1bzjKtWwQsvpLyx9PFRRezffQe+vjB/virGN8K0sgDcOSmxWm2SlOy6sIuZu2cCMKn1JEzuuqFb27bqF8OZM867kmLWLPXqGxamqjhFssKF1TG9HnjJjwdeYMauGey7tM92N9eSks2bbXdN4Zq++QYWL1YJx88/q5V/aXnpJTX85+cHa9fCypWOjVNkm/smJXFxaiIdsp2UWK1W+i7vixUrz1R5hgbFGtgwQIPx81OV7+CcUzhmM4y7syli377qHZVI1qQJlCgBo0bdP9BlscDo0VCyJHRpG4rFaqHf8n62WyJcv746SlIiHuTwYVX4BPDpp2qk5EHq1IFXXlHnI0faNzZhM26ZlJjNsHHZ7ZQ/+2evpmThkYWsObkGX0/f5Lbcbk2bwvnzz5SEz1nMm6eWCubJk/KLSiTz9IQJE9SihU6d7l5906mTenz8eBjTchQ+nj6sOL6CpcdstBFjnTpqGufsWfUhxL0SEuC551TtUcuW8Pbbmfu6995Tb0DWr1cjJsLpuV1SovVheP4JNXVzmwDKlPNgzpysXSfRnMiAFQMA6NugL8VDits6VONp1Uq1nr9wAdat0zuaFFYrjBmjzt94w+Z7HbmKzp1h9mzVYLVhQwgOVsf9+9XjnTtD6bylebuuekHot7wfSZaknN84IACqVVPnzjr1J/Q1fDjs3An58sH332e+HiwsTNWgAHz0kd3CE7bjVklJ6j4M835USYlPviCqVlWPZyUx+TbiW45cO0KBXAVcdxfgrPL1TWnZrnVMdQZr1sD27WqK6a239I7GqXXuDMeOqUUMv/yijkePqsc1Qx8ZSj7/fBy6eohpEdNsc+MGd6Y+ZQpH3OvSJZg4UZ1PmwZFstgDatAg8PJSdSXy8+X03CYpubcPQ7WSd5KSvEHMm6ce798/c7MON+Ju8OGaDwEY0WwEwb7BdozcYLRh1blzVd8SZ6CNkvToAQUL6huLAXh6QrNm0K2bOnp63v35EL8QRjQbAcDwNcO5GWeDfWu0pERGSsS9pk5V0zf168MTT2T964sXVyt0QEZLDMBtkpL7+jCk6lHi4QGDB6vX0PXrM77W6PWjuRZ7jYr5K/JKLalPuEuVKmrO12KBL77QOxqIiIBly9Q/ej83a2pnR6/WepUK+StwJeYKn26wQT2VVuwaEaFegIQA9bPw9dfqPLN1JGkZPFj9DliyxPkbPLo5t0lK7uvDcM9yYO1x7XnpOXnjJJO3ql4X41qOw8vDy8aRuoB31aaETJ+ub+Miq1X1IwH1tr9UKf1icTHent6MfXQsAJO2TOL0zdM5u2CZMqpeID5emqiJFLNnq1/KhQtDly7Zv06ZMiltAD7+2DaxCbtwm6Tkvj4M9yQl2uPa89IzeOVgEswJNC/ZnMfKSkfQNLVurfajuHULZs7UL46//1ZFEb6+8ovIDtqVa0ezEs2IN8fz/qr3c3Yxk0mWBov7ff65Or7+es6X8Q8dqn7O5s+HvXtzHpuwC7dJSu7rw5BqM77UfRiaNEn/GlvPbuW3/b9hwsSEVhPct1FaRjw8oE8fdf7ZZ/osD05KShkleecd9Y8vbMpkMjG+5XgAZu2dxc4LO3N2QSl2Falt3ao+fHxss5t3hQopFds//5zz6wm7cJuk5N4+DKcPqJGSSzFBd/VhuLeoT2O1Wum3XNUkdK/eneqFqjsqdGN6/nnVE+TECVi40PH3nzEDDh1SUwKDBzv+/m6iVpFaPFf1OYCcN1TTRkqk2FVASk1at262K1B/8kl11ON3ksgUt0lK4O4+DL9OU0nJTwuC7urDkJ75/85n45mN+Hv581G4VHBnKCAg5d3NJBvvLJuRW7dg2J39WYYPh5AQx97fzXzS/BN8PX1Zc3INi48uzv6F6tZVo2ynTmVc3CVc24ULah8tyFmB673atFHvPA8dgv/+s911hc24VVICKX0Y/tdBJSVdugfd14fhXonmRAb+MxCAd+u/S1hwmCNCNb433lD9AdatU42PHGXsWLVhV9mythn2FQ9UPKQ479R7B4D3VryX/YZqQUEpFecyWuLevvlG7QLcuDHUrGm764aEpMzRL1pku+sKm3G7pARUolw0WCUlJaoEpjtlo5m2c1pyo7SBjQc6IEIXERYGXbuqc0eNlpw9q+bpQPUnkT1uHGJwk8HJDdVm7JyR/QtJsauIj1dJCdh2lETTvr06SlLilNwyKQEyvUNwVHxUcqO04U2HS6O0rNKWB//8s+qqam9Dhqj9MRo3VsVDwiFC/EIY3nQ4AMPWDONW/K3sXUiaqInZs9VIZ1iYff4Pt2unjmvX6tuyQKTJfZOSVKtvHmTsxrFciblCuXzleLXWqw4IzMXUqaM20rJa4dVX1aoYe5k9G2bNUsv+JkxQR+EwvWr3okzeMlyOvsz4TeOzdxFtpGTHDjV8L9zPb7+pY8+e4O1t++uXK6c+EhNh+XLbX1/kiPsmJZkYKTkXdY6Jm9WeC5+2+BRvTzv8B3EHEyeqlTi7d6slwvZw+nTK7r8DB6qiSeFQPp4+jG4xGoDxm8dz4VY2ilXLlVM/K7Gx0kvCHUVFpSQK2tSvPWijJbIKx+lIUvKApOSD1R8QmxRLo2KN6FRBpgKyrWBBGDdOnQ8bpvr921JSkhqNuXFDJSMjR9r2+iLTulTsQv2w+sQkxjB8zfCsX8DDA+rVU+dSV+J+Fi9WreXLl4dKlex3H62u5O+/9emjJNIlSUk6Scm+S/v4fvf3AIxvNV4apeVUjx7wyCMQE6NW5eSkn8W9Pv4YNmxQ/5a//mqfIV+RKakbqs3YNYODVw5m/SLSRM19/fWXOnbpYt/p10aN1Eqcq1dVgzbhNCQpSScpGfjPQKxY6VqpK/XD6jswMBdlMqmKem9v9e5k9mzbXHf9+pSdP7/5Rva3cQKNHmrEExWewGK1MOifQVm/gDRRc0/R0ep3A+Rsn5vM8PZWPUtAVuE4GfdMSqzWu3YJvtfK4ytZcmwJXh5ejGoxysHBubCKFVO6q779tppuyYmrV9W0jcWitibXNtwSuhvdYjSeJk8WHlnI2pNrs/bF9eqpJPb4cbUKQ7iHpUtVLVGJElCjhv3vp03hSF2JU3HPpCQ29s4GONw3UmKxWnjvn/cAeL3265TJW8bR0bm2wYNVMePFi+qdyrVr2bvOyZNq2e+ZM2oH0C+/tGmYImfK5y+fvFqt/4r+WKyWzH9x7txqnxKAbdvsEJ1wSo6autFo3V3377d9nZvINvdMSrTlwKDaoafy2/7f2HlhJ0E+QXzwyAcODswN+Pmpuo+8edVcbpMmquFZVuzapeoO/v0XihWDBQsyXNotHG940+EE+gSy4/wO/jjwR9a+WCt2lfl+9xAfnzKNou1PY29586raEpApHCfinklJ6qkbj5RvQXxSPENWDgFgUONBFAgooEd0rq9mTVWYGham9qBo1AiOHMnc1y5frgpmL16EqlVVMWTFivaNV2RLaGAo7zVUo45DVw0lwZyQ+S+WpMS9rFihfi8XLerY5fyyNNjpuHdScs+766+2f8Wpm6coElSEPvX76BCYG6lYETZuVFM5p0+rqZiNG9NflXPtmup38vjjaqQrPFwVuRYt6ti4RZb0bdCXQoGFOB55nG92fJP5L9RemLZtS5lqFa5Lm7rp3PmuN4p2l7q7a0IWkmZhN5KU3BEZG8nH6z4GYGSzkeTyzqVHZO7loYfUiEmtWnDlikpMSpZUnV9nz1aFjtOnQ6tWEBoK/fqpniTdusGSJar2QDi1AJ8ARjQbAcDItSO5GXczc19Ytaqa6rt5E44etWOEQneJiTB/vjq396qbe1WoAPnyqemjPXsce2+RJklK7hi9YTSRcZFULlCZ7tW76xSYGypQAFatgqefVpvnnToF06apbo6lS6surStWqAZH1avD55/DTz+Br6/ekYtM6lGjBxXyV+Ba7DXGbhybuS/y9lbJKsgUjqtbvRoiI1WTxcaNHXtvkyllVE5+zpyCeyYlNWuqd+Ifq5GR0zdP8/nWzwH49NFP8fLw0jM69xMcrPa7iIxUfQr69Enp5li9OowapWpOdu2Ct95y7PCuyDEvDy8+bfEpAJO2TOJc1LnMfaHUlbgHbeqmUycy3LLdHrSfM+mL4xTc89W3UKG7hgk/WP0B8eZ4mhZvyuNlH9cxMDeXKxe0bas+QM3x+vjoG5OwiQ7lO9CoWCM2ntnI8DXDmd5hesZflLquRLgmiwXmzVPnjp660Ujy61Tc/i3nnot7mLVnFgBjW46VdvLORBISl2EymRjXUu1/NHP3TA5cPpDxF2kvFnv2QFycHaMTutm1SzXICwpSxet60JLfY8ey3zdJ2IzbJyWDVg7CipWnKj9F3aKys6wQ9tKgWAM6V+ys2s+vzET7+eLFVZ1BYqJ68RKuR9sRuHlz/fasypsXypZV5zIqpzu3TkpWnVjF0mNL8fLw4pPmn+gdjhAuT2s/v+jIoozbz0sRouvTkpJWrfSNQ6ZwnIZDkpIpU6ZQsmRJ/Pz8qFWrFuvXr3fEbR/IYrXw3grV2Om1Wq9JO3khHKBcvnLJ7eff++c9rBntFq29WMg7WNcTHa16EwG0bKlvLJKUOA27JyW///47ffr0YejQoezatYsmTZrQtm1bTp8+be9bPziu/b8TcSFCtZNvKu3khXCU4U2HE+AdwLZz25h9MIPdouXFwnWtXaum5kqUUPtX6UnbmXrbtvQbOAqHsHtSMnHiRHr27MnLL79MxYoVmTx5MsWKFePrr7++77nx8fFERUXd9WEP8UnxDF01FID3Gr1HwYCCdrmPEOJ+oYGhDGg4AIAhq4aQaE5M/8l16qjj8eOqwZ5wHdrUTcuWjtmA70GqVVO9j65fVwWvbuJG3A1azWrFyuMr9Q4lmV2TkoSEBCIiImh1z3xhq1at2LRp033PHz16NLlz507+KFasmF3imr5zOidunKBwYGHerf+uXe4hhEhfv4b9CA0I5dj1Y0yNmJr+E0NCoHx5db59u2OCE46xYoU66l1PAmqlX82a6tyNRuXGbBjDiuMreHPJm5gtZr3DAeyclFy9ehWz2UxoaOhdj4eGhnLx4sX7nj948GBu3ryZ/HHmzBm7xPW/av9jSOMhjG4xmgCfgIy/QAhhU4E+gQxvOhyAEWtHcCv+VvpPlikc13P2LBw8qBohNm+udzSKm/2cnY06y+StkwEY8+gYPD10aFyXBocUut7b+8NqtabZD8TX15fg4OC7Puwht19uPmnxibSTF0JHL9d8mXL5ynEl5grjNo1L/4lu9mLhFrRRktq11ZJcZ+BmP2fDVw8nLimOxg81pn259nqHk8yuSUn+/Pnx9PS8b1Tk8uXL942eCCHci7enN6OajwJgwuYJXLh1Ie0npu7sKkWIrsGZpm40WlKye7fLN+vbf3k/3+/5HoCxjzpX01C7JiU+Pj7UqlWLFdoP4B0rVqygYcOG9ry1EMIAOlfsTP2w+sQkxvDhmg/TfpJWhBgZ6VZFiC7LYnHOpKRECbVBqBs06xv0zyAsVgtdKnahQbEGeodzF7tP3/Tt25fp06fz3XffcejQId59911Onz7Na6+9Zu9bCyGcXOr28zN2zeDw1cP3P8lNixBd1u7dcPUqBAamLMV1BiaTW0zhrD25lsVHF+Np8mRUi1F6h3MfuyclTz/9NJMnT2bkyJFUr16ddevW8ffff1O8eHF731oIYQCNH2pMx/IdMVvNDF45OO0nucGLhdvQRknCw/VrLZ8eF/85s1qtvPePahr6aq1XKZevnM4R3c8hha69e/fm5MmTxMfHExERwSOPPOKI2wohDGJ0i9F4mDyYd3geG09vvP8JsmOw60jdn8TZuHhSMvvgbLad20aAd0Dy6jdn49Z73wghnEPFAhV5ucbLAAxYMeD+9vNaUrJ7NyQkODg6YTMxMbBhgzp3pnoSjdas78QJl2vWl2BOYMiqIQAMaDiA0EDnXGwiSYkQwil82OxDcnnnYvPZzcw7PO/uT5YqpZaOJiTA3r36BChybt069W/40ENQzvmmDggJgQoV1LmLjZZMjZjKsevHCA0IpV/DfnqHky5JSoQQTqFwUGH6NVC/LAetHHR3+3mTKeVdrEzhGJdWT+IMreXTo03huFAH4aj4KEasHQHAiGYjCPQJ1Dmi9ElSIoRwGgMaDqBArgIcuXaEGbtm3P1JqSsxvrVr1dFZurimpXp1ddy/X984bGjsxrFcjblK+Xzl6Vmzp97hPJAkJUIIpxHkG8SwpsMAGL5m+N3t57WkxIXewbqVqKiU/h9Nmugby4NUrqyOLpKUnIs6x8TNEwH49NFP8fLw0jmiB5OkRAjhVF6t9Spl8pbhcvRlJmyekPIJbfrm0CH1AieMZdMm1TitZEmw02arNlGlijoeO+YSnV2HrxlObFIsjYo1omP5jnqHkyFJSoQQTsXH04fRLUYDMH7T+JT286GhULy4ajUfEaFjhCJb1q1Tx6ZN9Y0jI4UKQZ48KoE6nEYzPwM5cPkAM3fPBGBcy3FO1U4+PZKUCCGcTpeKXagfVp/oxOi7289LsatxafUkzt6nymRKGS05cEDfWHJo0ErnbSefHklKhBBOJ3X7+em7pnPoyiH1CakrMaaYmJR/M2dPSsAl6krWnFzDoiOLnLadfHokKRFCOKXGDzWmU4VOWKwWBq0cpB6UFTjGtHWr2uiuaFHVc8bZGXykxGK1MGDFAAB61erllO3k0yNJiRDCaX3a4lM8TZ4s+HcB606tg1q1wMMDzpyBCxf0Dk9kllZP8sgjztufJDWDj5T8vv93dpzfQaBPIMObOWc7+fRIUiKEcFrl85fn1VqvAnfazwcEQMWK6pMyhWMcRqkn0WhJyYkTEB2tbyxZFJ8Un9xOfmCjgRQMKKhzRFkjSYkQwqkNbzqcAO8Atp3bxh8H/pC6EqNJSIDNm9W5UZKSAgWg4J0X84MH9Y0li77c9iUnb5ykSFAR+jboq3c4WSZJiRDCqYUGhvJeI7Xd+pBVQ0isVVN9QupKjGHHDtXvI3/+lFEuIzBgXcn12Ot8vP5jAD4K/4hc3rl0jijrJCkRQji9fg36UTiwMMcjj/NHwAn14LZtqmeJcG5GqyfRGLCu5JN1n3Aj7gZVC1al+8Pd9Q4nWyQpEUI4vQCfAD4K/wiAd89/h9XXF27cUF03hXMzWj2JxmAjJSciT/Dl9i8BGNtyLJ4enjpHlD2SlAghDOHF6i9SpWAVriTe4FTJvOpBmcJxbklJsHGjOnf2Tq73MthIyZBVQ0gwJ/BoqUdpXbq13uFkmyQlQghD8PTwZHzL8QAsDLmkHpRiV+e2Zw/cugW5c0PVqnpHkzVaUnL2LNy8qW8sGdh2bhu/7f8NEybGPjrWEO3k0yNJiRDCMFqXaU2r0q3YUsSiHpCREuem1ZM0bgyeBptOCAlRzd7AqadwrFYrfZepVTYvPPwCNQrX0DminJGkRAhhKONajmNHEXVu2RmhOoUK52TUehKNAepK5h6ey8YzG/H38ufj5h/rHU6OSVIihDCUamb2A74AACAASURBVKHVaNz8RSL9wCM+AevevXqHJNJiscD69ercaPUkGievK0kwJzDwn4GAWqEWFhymc0Q5J0mJEMJwRrb4mIii6tfXzoVTdY5GpOnQIbh+HXLlgpo19Y4me5x8pGTK9ikcu36M0ICUXj5GJ0mJEMJwigYXxbt+QwD+W/or8Unx9z3HbIY1a+DXX9XRbHZsjG5v0yZ1rFcPvL31jSW7nHikJDI2kpFrRwIwMnwkQb5BOkdkG5KUCCEMqW6nNwCoeOIWX2778q7PzZkDZcpAeDg8+6w6limjHhcOoi0FbthQ3zhyolIldbx0Ca5e1TeWe3y87mMi4yKpXKAyPWr00Dscm5GkRAhhSP6NVJ1CpSswccVIrsaoF405c+DJJ9UK1M2b1YrUzZvVn598UhITh9FGSho10jeOnAgMhBIl1LkTTeH8d/0/vtj2BQDjW43Hy8NL54hsR5ISIYQxFS6MNSwMTyuUPhnFyLUjMZuhXz9o1w7mzYP69dXrSv366s/t2kH//jKVY3dXrsDRo+q8fn19Y8mpNOpK9J4aHPjPQBItibQq3Yo2Zdo49uZ2JkmJEMKwTHd2DK57ThX9/bzoNCdPwpAh4HHPbzcPDxg8WO1Gry0KEXaijZJUqgR58ugbS05pdSV3khK9pwbXnVrHX4f+wsPkkdxM0JVIUiKEMK46dQDoFFUYs9XMZ//8AaS8ub2X9viFC44Izo25wtSNRvuh2b9f96lBi9WS3Cjt5RovUzXUYF1yM0GSEiGEcd0ZKal33oSXhxc7by0C0l8soT1euLAjgnNjrlDkqrkzUmI9cIB+fa26Tg3O2jOLiAsRBPkEMTJ8ZM4vuGcPDB0Ks2bl/Fo2IkmJEMK4atUCkwnvM+cZUKY7FF+Pf4GLjBplxWK5+6kWC4weDSVLQpMm+oTrFuLjYccOde4KSUmFCmAyYbp2jehTV3SbGoxOiGbIqiEADG0ylNDA0Bxf07JrD4waxYXxPzvNsnlJSoQQxpU7t3rRAAb5tiAkVzCx4b1ZtAg6dbp7iL1TJ1i0CMaPN942LIaya5dKTPLnh7Jl9Y4m5/z9oVgxAMpyVLepwbEbx3L+1nlKhpTknfrv5Ph6c+bA+/1jAdiy199pls1LUiKEMLY7UzjBew7zYdMPodJcgv7Xgz17LTRsCMHB6g37/v0wezZ07qxvuC4v9dSNgXervcud5KoMx3SZGjwbdZZxm8YBMLblWPy8/HJ0Pa02plRoDADtnsrlNMvmJSkRQhjbnWJXtm2jd53elM9XnqjS39P1m8GsXg2//AKrV6sVqpKQOIBW5OoKUzeaO0lJndxHGTUKh08NDl45mNikWJo81IQuFbvk6Fqpl8336KaSEu/gXE6zbF6SEiGEsd0ZKWH7drw9vJjYeiIAn2+fRFi1Y3TrBs2ayZSNQ1itrrXyRlOmDAAdqxxz+NTg1rNb+WnvTwBMbD0RUw5Hn9avJ2XZfJyavsHfH3COZfOSlAghjK1aNfDxgWvX4MQJ2pZpS+vSrUm0JNJ/eX+9o3MvJ07AxYtqr5tatfSOxnbujJQUiz3K7Nmwbx8OmRq0WC28s1TVj3R/uDu1i9TO8TW1mpcqVYAYNVJCrlzJn9d72bwkJUIIY/P1herV1fm2bZhMJia2noinyZP5/85n5fGV+sbnTrRRkpo1k999u4Q7IyUcPUrnJ6wcO4ZDpgZ/3vszW89tJdAnkNEtRtvkmlrNy/79pCQlqf6t9F42L0mJEML4UtWVAFQqUInXa78OwLvL3iXJkqRXZO5FK3J1pakbgFKlVNHurVtw5QqenmpK0J5Tg7cTbjPwn4EAvN/kfQoH2SZLaNJEbeczahRYY+5M39wZKXGGZfOSlAghjC9VXYnmw2YfkscvD/su72NaxDSdAnMzrljkCuDnl7wsOHlPHzsbvX40F25foHSe0vSp38dm1/X0hAkTVA3Mpn/USEmcRy6nWTYvSYkQwvi0pCQiApLUqEi+XPmSu16+v/p9rsde1ys69xAVpYotwPWSEkjpuXLsmN1vdTzyOBM2TwBgQqsJ+Hr52vT6nTurGpi4G2qkpHd/f6dZNi9JiRDC+MqVU1WHsbF37eb6Wu3XqFKwCtdjrzNs9TAdA3QDW7ao1TclS7pmH/9UdSX21n95f+LN8bQs1ZIO5TvY5R6dO0PzemqkpOebuZxm2bwkJUII4/PwgNp3VibcqSsB8PLw4vM2nwPw9Y6v2Xtprx7RuQdXnbrROGikZOXxlcw9PBdPkyeTWk/K8RLgBzHFqqSkUctcTrNsXpISIYRrSKOuBCC8ZDhdK3XFYrXw9pK3sVqtOgTnBtwlKbHjSEmiOTF5CXDvOr2pXLCy3e4FqJFFcKqVUpKUCCFcg5aUbN1636fGtRyHv5c/a0+t5c+Dfzo4MDdgsaR83xs00DcWe0k9fWOnxPar7V9x4MoB8ufKz4fNPrTLPe6SRp8SvUlSIoRwDVpSsn8/REff9aniIcUZ1HgQoObroxOi7/1qkRMHD6pC14AAtYGKK7pnWbCtXbx9keFrhgMwusVo8vrntfk97pNGnxK9SVIihHANRYuqD4tFrcK5x4CGAyieuzhnos4wZuMYHQJ0YVu2qGOdOuDlpW8s9mLnZcGD/hlEVHwUtYvUpkeNHja/fppi7+5T4gwkKRFCuI569dQxjSkcf29/JrRSyyzHbhzLf9f/c2Rkrm3zZnV01akbjZ2KXTed2cQPe34A4Mu2X+JhctBLs0zfCCGEHWlTOKlW4KTWuWJnWpZqSbw5nreXStGrzWhJSf36+sZhb3ZYFmy2mHlryVsA9Kjeg3ph9Wx27Qff2Azx8epcpm+EEMIOHjBSAmAymfii7Rd4e3jz99G/WXhkoQODc1GRkXDokDp39aTEDiMl03dOZ+eFneT2zc3oR22zv02mxMWlnMtIiRBC2EGtWqoY8cyZdLc5LZ+/PP0bqt2D317yNjGJMY6M0PVoCWDp0lCwoL6x2JuNR0quxVxjyKohAHwU/hEFAxz4/YtJ9XMvIyVCCGEHQUFQ+U5vh3SmcACGNhlKseBinLp5itHrHfju1BVpRa6uXk8Cd/cqscHU36B/BnE99jpVC1bl9Tqv5/h6WaIVufr6quaDTsJ5IhFCCFvIYAoHIMAngMltJgMwdtNYjl5zzCZrLsld6knApsuCN53ZxPRd0wGY8vgUvDwcvGrJCYtcQZISIYSreUATtdSeqPAErUu3JsGcwFtL3pKi1+xwh6ZpqdloWXCSJYnXF6uRkZeqv0TjhxrbIrqskaRECCEcQBsp2b5dvWimQyt69fH0Ydl/y5hzaI6DAnQhhw7BzZvqha1aNb2jcQwbFLt+sfUL9l7aS17/vIxtOdZGgWWRE7aYB0lKhBCupnJl9SJ56xYcPvzAp5bNV5b3Gr4HwDtL3+FW/C1HROg63KFp2r1yWOx6Nuosw9aoHavHPDqG/Lny2yqyrJGREiGEcAAvL7UKBzKcwgEY0mQIpfOU5tytc3yw+gM7B+di3KVpWmo5HCnpu6wvtxNu0yCsgeM6t6bFCVvMgyQlQghXpE3hPGAFjsbf258pj08B4IttXxBx/v4W9SId7lTkqsnBSMmyY8v48+CfeJg8+Prxrx3XuTUtTthiHiQpEUK4okyswEmtVelWdKvSDYvVQq9FvTBbzHYMzkXcuKE24gP3HCnJ4rLgmMQYev/dG4C3677Nw4Uetkd0mSfTN0II4SDaCpy9e1PeEWZgYuuJhPiFEHEhgq+2f2XH4FyElvCVKuX6TdNSy+ay4JFrR3I88jhFg4oyInyEHQPMJJm+EUIIBylWDAoVUvt77NyZqS8pFFiIT1t8CsDQVUM5G3XWnhEanzs1TUstG8uC91zcw/hN4wHVkyTYN9he0WWeTN8IIYSDmExZnsIBeKXWKzQIa8DthNu8veRtOwXnItyxyFWThWJXs8XMKwtfwWw182SlJ+lQvoOdg8skmb4RQggHymDH4LR4mDz4tt23eHl4MffwXOYemmun4AzOYkkZKXGnIldNFopdv9z2JdvPbye3b24+b/O5nQPLAulTIoQQDpSNkRKAqqFVk3uX9P67N5GxkbaOzPgOH1ZN0/z93adpWmpaUvLffw982umbpxm6auj/27vv8Kiq/I/j78mkASFUAUMXAiKwEgjV0FaadMGCIIoooitrQV1EXdCfq+xaFvXHD10WBB4URARBQClGOoJUpSggUkJRSoAAgYQk8/vjeEmQYsrM3DuZz+t5fO5lmNzztTzeL+f7PecAZk+S64tf7+vIck8zJSIifhQfb8o4e/fCkSN5+tG/t/47tcvU5pczv/Ds4md9E18gs0o3jRtDWJi9sdihenVz3bv3ql/xeDz8Zf5fOHvhLAlVEhjUaJB/YsstJSUiIn5UogTceKO5z+NsSWRoJOO7m8PSJmyaQOLPid6OLrAFcz8JQLVq5rpnz1W/Mn3bdObvmk+4O5xxXcfZuyfJlah8IyLiZ1a/g9X/kAcJVRJ4rPFjADw872FSL6R6M7LAFuxJiTVT8uuvV1xyfuTsEYZ8MQSA5xOep851dfwZXe5opkRExM+sl6b1Es2jUbeOonJ0ZX4+8TMjlozwYmABLFg3TcupVCkoXtzc79t32W8P+WIIx88d50/l/8TwlsP9HFwuaZ8SERE/s16a334LGRl5/vHiEcV5v+v7AIxeM5pvD+Z+JU+hFaybpuXkcmXPlvyuhDNz+0xmbJ+B2+VmYo+JhLvDbQgwF7RPiYiIn9WpY/5Ee/YsbNuWr0d0ju1Mv/r9yPJkMWD2AM5nnPdykAHGmnVq0cLeOOxm9ZXkaHY9nnr84lbyzyU8R8PrG/o/rtxS+UZExM/c7uylwfks4QC80+kdyhcrzw/HflAZJ9j7SSxXaHZ9YsETHDl7hLrX1eXvrRx+4rTKNyIiNihgXwlAmaJlGNdtHABvrn6T1UmrvRFZ4MnKyi7fBHtS8rtlwXN3zOWjLR8R4gphYo+JRIRG2Bdbbqh8IyJigwKswMmpe+3u3HfzfXjwMGD2gOBcjfPDD2bTtGLFoH59u6OxV47yzfHU4wyeNxiAZ5o/Q+OKje2LK7dUvhERsYGVlOzcCcePF+hR73R6h4rFK7IreRfDv3LoqgpfyrlpWmiovbHY7beZEs+ePTw6/1EOnznMjWVv5KU2L9kbV25pnxIRERuULg21a5v7As6WlIwseXFTtXe/fZdle5cVNLrAsvq3slU+SjeZmbB0KUybZq6ZmV6NzP+qVgXAdewYX2yaQWhIKB/e/iFFwpz1kr8ij0czJSIitvFSCQegU81OPBT3EAAD5gwgJS2lwM8MGPlscp01yxwX07Yt9O1rrjVrms8DVsmSZJWIBqDaSRjRagSNYhrZHFQuXbiQnRVqpkRExM+80Oya01sd36JqiarsPbmXx7983CvPdLzkZHMQH+TpZOBZs+COO0wLyjffwOnT5lq/vvk8UBOTLE8Wu0t6AOjoruXcTdKuJOcutJopERHxMyspWbvWK3WD6Ihoptw+hRBXCJO/m8wn2z4p8DMdz1p1U7MmXHddrn4kMxOefhq6doXZs00uExVlrrNnm8+feSYwSzljvh3DliKnARhW6W5CQwKox8Yq3YSEQLizNndTUiIihV/duuZteOZM9hbpBdSyakuGJ5g/HQ+eN5ikU0leea5j5WPTtBUrzIrZ558377+cQkJg+HCzzceKFd4L0x9+OPoDw74axp5S5tfljpy1N6C8yrlHictlbyy/o6RERAo/txuaNDH3XirhAIxsPZLGMY05ef4k/T/rT2ZWAP6RP7fy0U9y+LC51qt35d+3Pre+FwjOZ5ynz8w+nM84T5Gav51CnWNX14Dg0D1KQEmJiAQLL/eVAIS5w/io10cUCyvGsn3LeHP1m157tqNkZuZr07TrrzfXrVuv/PvW59b3AsGzi57l+1+/57qi19Gn6299JL87/8bxHLryBpSUiEiw8OIKnJxiy8Ty7m3vAvDikhfZcGiDV5/vCNu3mw7VqKirT3tcQcuWZo+x114zm8HmlJUFo0aZ7T5atvRuuL4y58c5jFk3BoDJPSdT+qbfzrYJ1JkSh628ASUlIhIsrKTkxx/NShIveqDBA/Sq04uMrAzu/vTuwrdM2JpdatLElMJyye2Gt96CefOgZ89LV9/07Gk+f/PNPD3SNgdSDjDw84EADG02lNtib8ve1fXECbPTbaDQTImIiM3KloXYWHNvlSK8xOVy8d9u/6VKiSrsPrGbQXMH4fF4vDqGrQpwCF+vXvDpp7Bli+mRjY42161bzee9enk5Vh/IzMqk36x+JJ9LptH1jRjVbpT5jago898VBNZsiZISEREH8FEJB6B0kdJMv2M6oSGhfLLtE95f/77Xx7BNAXZyBZN4/PQTLFkCU6ea665dgZGQALy64lWW71tOVHgU03pPI9ydYxltjjNwAobKNyIiDuCDZtecmlVqxr/a/QuAJxc+ycbDG30yjl8dPWrODYICnQzsdkObNnDPPeYaCCUbgMSfE3l52csAjO08ltgysZd+4XenBQcEzZSIiDiA9VJds8ZnO3Y91ewputfuTnpmOnfNuItT5wOo1+BKVq0y17p1zTlCQeRAygH6zOxDlieLAQ0G0P/m/pd/yZopCaQVODn3KXEYJSUiEjzq14fixU235ZYtPhnC5XIxscdEqpaoWjj6S6yk5JZb7I3Dz9Iz07lzxp0cSz1GgwoNGNt57JW/GMjlG82UiIjYyO3O3pF05UqfDWP1l4SFhDFj+wxGrxnts7F8LkiTkqcXPs2aA2soGVmSmXfNvPrpv1b5JhBnSpSUiIjYLCHBXH2YlAA0rdSUf3f8NwDPLn6Wr37+yqfj+cS5c7B+vbkPoqRk6papF/cjmXL7FG4odcPVv5xzpiRQZsRUvhERcYicSYmPXyKPNX6MAQ0GkOXJ4u5P72bPiQD60zSYhOTCBahQAW64xou5ENl6ZCuD5g4C4IWWL9C1Vtdr/4CVlKSkwMmTvg3OW1S+ERFxiCZNIDQUDh6E/ft9OpTL5eK9Lu/ROKYxyeeSuX367aReSPXpmF6Vs3TjsIPbfOFY6jF6fNyD1AuptLuhHS+3efmPf6hIEShf3twHSglH5RsREYcoWhQaNTL3Pi7hAESGRjLr7lmUK1aO7379jgc/fzBwGl+DqJ8kPTOdOz65g59P/Ez1ktWZ1nsa7pBcrlsOtGXB2qdERMRBrJesH5ISgErRlfj0zk8JDQnl460f88bqN/wyboFkZQVNUuLxePjrF39l2b5lFA8vztx75lK2aNncPyDQlgVrpkRExEH81OyaU8uqLXmn0zsAPPfVc8zcPtNvY+fLjz+aM12KFIG4OLuj8akx345h3MZxuHAxrfc06parm7cHBNqyYDW6iog4iPUn/61bzYvXTx6Nf5THGj+GBw/3fnYvaw949wwer7JmSZo2hbAwe2PxoUW7F/HkwicBeKP9G3Sp1SXvDwnU8o1mSkREHKBcOahVy9xb57r4gcvl4u1Ob9MltgvnM87TbVo3567ICYLSzdYjW7lrxl1kebJ4oMEDDG0+NH8PUvnGa5SUiEhwsqGEA5i+kjs+pkGFBhxNPUrnqZ05cc5/szW5Zv1zKaRJSdKpJDp92IlTaadIqJLAe13ew5XfFUY5Z0oCoYlZ5RsREYexKSkBiAqPYt4986hYvCI/HvuR3p/0Jj0z3e9xXNWvv8Lu3WYZcAEO4XOq5HPJdPywIwdPH+Sm625iTp85RIRG5P+BVaqY69mzcOyYd4L0JZVvREQcxkpK1q2DtDS/D18xuiLz+84nKjyKJXuX0G9WPzKzfHNIYJ5ZpZt69aBkSXtj8bJzF87RfVp3fjj2AxWLV2RBvwWULlLAgwYjIiAmxtwHQl+JyjciIg5Ts6bpLUlLgw0bbAnh5go3M/OumYSFhPHp9k95eO7DztjDpJD2k2RkZXDPzHtYlbSKkpElWXjvQiqXqOydh1etaq5JSd55ni+pfCMi4jAul60lHEuHGh2Y1nsaIa4QPtj8AU8vetr+xKQQ9pNkebJ4ZN4jzNkxhwh3BJ/3+TzvS3+vxSrh+HiX4ALLyoLz5829ZkpERBzEz5uoXU3vm3ozvtt4AEavGc0/lv/DvmBSU2HjRnNvJW0BzuPx8Nj8x5iwaQIhrhCm9p5Ky6otvTuIlZTs2+fd53qblZCAkhIREUexXrqrVpk/QdrogbgHGN1xNAAjlo7g7TVv2xPIunWQkWF6JKySRADzeDw8/uXjvL/hfVy4mNxzMr3q9PL+QIEyU2I1uYLKNyIijhIXZ/7HnJxsdjC12ZPNnmRk65EAPLXwKf79zb/9H8Ty5eaakBDwh/B5PB6GLhzKmHVjcOFiYo+J3Pune30zWKAkJVY/SXg4uHN5to8fKSkRkeAVFgbNmpn7FSvsjeU3I1uPZHjCcACeXvQ0r614zb8BLF1qrq1b+3dcL/N4PAz7ahhvrzUzTv/t9l/ub3C/7wYMtKTEgbMkoKRERIJdq1bmar2MbeZyuXj1z6/ycpuXAXjh6xcYsWSEf5pf09Phm2/MfZs2vh/PR7I8Wfz1y79ePPjwvS7v8WDDB307qFXqOnLk0hKJ0zh4jxJQUiIiwa5tW3NdssQxu3G6XC5GtB7BP2/9JwCvLH+F5756zveJybp15qV13XVQp45vx/KR9Mx0+s3qx/+t+z9cuBjbeSyPxD/i+4FLloSoKHN/4IDvx8svB+9RAkpKRCTYNWsGkZFmF9MdO+yO5hLDEobxdkdTfnh99es8PPdhLmRe8N2A1mxRq1YB2U9yNv0s3ad15+OtHxMWEsbU3lN5tPGj/hnc5QqMFTgq34iIOFhEBLRoYe6XLLE3lit4otkTvN/lfUJcIYzfNJ6u07qSkpbim8GWLTPXACzdJJ9Lpt2UdizcvZCiYUWZe89c+tTr498gAqGvROUbERGHs17CDkxKAAbHD2b23bMpGlaURbsXkfBBAgdSvFwiuHAheyfXAGty3XFsB80nNGfNgTWULlKaxPsS6Vizo/8DCYSkROUbERGHs/pKli51TF/J73Wr3Y3lA5ZTIaoCW45soen4pmz+ZbP3Bli/3rywSpeGul7c6dTHvtz1JU3GN2Hn8Z1Ujq7M8gHLaVapmT3BWM2ugZCUqHwjIuJQTZqYPzkePQrbt9sdzSUyM02uNG0anN7ZiFUD1nDTdTdx6PQhbvngFqZ8N8U7A1mlm9atIcT5rwaPx8Mbq96gy9QupKSlkFAlgXWD1nl36/i8CoSZEpVvREQcLjw8e8t5B5VwZs0y5wa2bQt9+5rrrfFVea70t7S/oT2pF1K5b/Z9DJ47mPMZ5//4gdeSMylxuLPpZ+n/WX/+9tXf8OBhUMNBJN6XSPmo8vYGFghJiWZKREQCgMP6SmbNgjvugPr1zdYhp0+ba/36cH/fYjxc5EtGth6JCxfjNo6jxYQW7E7enb/BMjKyz/9xeJPrhkMbaDiuIR9t+Qi3y82Y28bwn67/IdwdbndolyYlNh9bcFWaKRERCQA5+0psfqFkZsLTT0PXrjB7tlm1HBVlrrNnm8//9jc3f2/5EgvuXUDZomXZ9MsmGo1rxNQtU/O+n8nGjXDmDJQqZbIeB8rMyuRfK/9FswnN2Hl8JzHFY/jqvq94rMljuJyyfLliRbM0OC3NlAKdSI2uIiIBID4eihUz5+Bs3WprKCtWwN698Pzzl7d3hITA8OGwZ4/5XocaHdg0eBPNKzXnVNop+s3qR4+Pe3Aw5WDuB7RKNy1bOrKfJOlUEu2mtOO5xOfIyMqgd53efP/I97Sp1sbu0C4VFmYOMgTnlnBUvhERCQBhYealDLaXcA4fNtd69a78+9bn1vcqRVdi2YBlvNL2FcJCwpi7cy51x9blg00f5G7WxNo0zWGlmwuZF3hr9VvcNPYmlu5dSrGwYkzoPoEZd86gTNEydod3ZU5fgaPyjYhIgHBIX8n115vr1SZsrM+t7wGEucN4sdWLbBy8kcYxjTmVdooHP3+Q9lPa890v3119sMzM7H4SBzW5Lt27lAb/acAzi5/hTPoZmldqzqbBmxgYN9A55ZorcXqzq8o3IiIBwuorWbbMvKxt0rIlVKsGr712eXtLVhaMGgXVq2dP7ORUr1w9Vj+4mtfbvU6EO4LEPYnE/SeOAbMHkHQq6fIf2LwZUlKgRAm4+Waf/P3kxd6Te+k3qx9tJ7dl+9HtlC1algndJ7By4Epiy8TaHd4fc/pW8yrfiIgEiIYNoXhxOHkSvv/etjDcbnjrLZg3D3r2vHT1Tc+e5vM33zTfu5LQkFCeveVZtv1lG3fVvQsPHiZ/N5nY/41l2OJhHE89nv3lnP0kV3ugH/yU/BMD5wwk9n9jmbplKi5cPBr/KDuG7GBg3EBCXAHyunL6TInKNyIiASI01BxGB7aXcHr1gk8/hS1bzNE80dHmunWr+bxXrz9+Ro3SNZh+x3TWPrSWVlVbkZaZxuurX6fS6EoM+nwQW49sze4nsal0s+3INvp/1p/aY2ozcfNEMrIyaH9De9YNWsfYLmMpXaS0LXHlm9OTEoeXb0LtDkBExFHatIH5801SMnSoraH06gU9ephVNocPmx6S/ExoNKnYhKX3L2X+rvmMXDqSjYc3Mn7TeCauH8/JxFCigPO3NCXSJ38Xlztx7gTTt01n0uZJrD249uLnXWK78GKrF+3bJt4bnJ6UWDMlDi3f+DQpefXVV5k/fz6bN28mPDyckydP+nI4EZGCs/pKli83h9SFhdkajtvtnUUxLpeLrrW60iW2C6uSVvHO2nc4tGgmUakZJEdCtcROdDrQhV51etE5tjPREdEFHzSHw6cP8/Wer5m7cy6zf5xNWmYaAG6Xmx439uD5hOdpFNPIq2Pawlp9c/SoSQCc9vIP5pmS9PR07rzzTpo3b86ECRN8OZSI/uKCCAAADJhJREFUiHc0aABlysDx47B2LSQk2B2RV7lcLhKqJJBQJYGTG4cCo1lVuwinM1OZsX0GM7bPINwdTnxMPI1jGhMfE098TDy1ytTKdV/H2fSz7Erexc7jO1m5fyWJexLZfvTSM4Xql6vPAw0eoG/9vvZvD+9NJUqYvqTTpyEpCWrVsjuiSzm80dWnScnLL78MwKRJk3L1/bS0NNLS0i7+OiUlxRdhiYhcndsNHTqYE/AWLCh0SUlOJZeb0knXIe+yrnMDZv0wi1k/zGLH8R2sTlrN6qTVF78bGRpJ+WLlKVes3MW/3C43aZlpnM84T1pmGqfOn2JX8i4OnT502VguXDSo0IB2N7SjT70+xFWIc/bS3vxyuUwJZ9s2swLHaUmJwxtdHdVTMmrUqIuJjIiIbTp1yk5K/vEPu6PxjZMnzUwQ4OrQgfiYKsTHxPPara+x6/gu1h5cy/pD61l/aD0bD2/kXMY59p3ax75TuVvqWqZIGWLLxNKgfANuveFW2lZr69wNz7zNSkqc2FcSzOWbvBo+fDhDczSWpaSkULlyZRsjEpGg1KGDuW7YAEeOQLly9sbjC19/bfZiufHG7ObM38SWiSW2TCz3/uleADKyMkg6lcSvZ3/lyNkjF//K8mQRGRpJhDuCyNBIioUXo0apGsSWiQ28VTPe5ORm18JWvnnppZf+cDZj3bp1xMfH5zmYiIgIIiIi8vxzIiJeVaECxMXBpk2waBHce6/dEXnfokXmaiVg1xAaEkr1UtWpXqq6j4MqJJy61fyFC+ZEaCg8MyVDhgyhT58+1/xOtWrV8huPiIgzdOpkkpIFCwpfUuLxwMKF5j4XSYnkkVNnSqx+Eig8SUnZsmUpW7asL2IREXGOTp3Mfu4LF5q93R14em6+7d5tjiEOC3PUeTeFhlOTEqt043KBQ6sSPu0p2b9/P8nJyezfv5/MzEw2b94MQM2aNYmKivLl0CIiBdO8uVnaeewYbNwI+ShJO5ZVurnlFtD/i70vZ1LipIQ258ZpDl355NN/UiNGjCAuLo6RI0dy5swZ4uLiiIuLY/369b4cVkSk4MLCoF07c79ggb2xeJuVlHTsaG8chVVMjElE0tNNo7RTOHzlDfg4KZk0aRIej+eyv9p4Y3tCERFf69TJXAtTUnLhgll5A+on8ZWwMJOYgLNKOA7fYh50IJ+IyNVZMwnffAMnTtgbi7esXWt2Gy1b1uxeK77hxBU4wT5TIiIS0KpWhTp1TF9AYqLd0XiHVbpp3945vQ6FkRObXR2+RwkoKRERubbCVsLRUmD/cGJS4vAt5kFJiYjIteVMSjwee2MpqORkWLfO3Ldvb28shZ2VlOzL3bb8fqHyjYhIgGvVykx3HzwIW7faHU3BJCaaxKpuXahY0e5oCjcnzpSofCMiEuAiI8FaMfjll7aGUmCff26u1uyP+I6VlCQl2RtHTirfiIgUAl26mOtnn9kbR0FcuADz5pn7nj3tjSUYWIfJHj166fbudlL5RkSkELj9dnNdswYOHLA3lvxatgxOnjQnHjdvbnc0hV/Jktm75TrlvxmVb0RECoGYGGjRwtwH6myJFXf37uB22xtLMHC5nNdXovKNiEgh0bu3uc6caW8c+ZGVBbNnm3tr1kd8zyrhOCUp0UyJiEgh0auXua5Y4azzTHJj/Xo4dMiUE2691e5ogofTml01UyIiUkhUqwaNGplZhzlz7I4mb6zSTefOjj2yvlByWvlGja4iIoVIoJZwrKREpRv/Uvkmz5SUiIjklpWUJCYGzgF9P/4IO3aYk2s7d7Y7muCi8k2eKSkREcmtWrWgXj3IyIC5c+2OJnesWZJbb4XoaHtjCTY5Z0qccESByjciIoVMoJVwVLqxT6VK5pqaas4dspvKNyIihYyVlCxcCKdP2xvLHzlwwBzA53KZ/UnEvyIjoXx5c++EEo7KNyIihUy9ehAbC2lp8MUXdkdzbdYqoebNoUIFe2MJVk5qdlX5RkSkkHG5AqeEo9KN/Zy0LFjlGxGRQshKSr74Ivt/9E7z66+wdKm51wF89nHKChyPB06dMvclStgbyzUoKRERyatGjaBGDTh7FmbMsDuaK/vwQ8jMhKZNoWZNu6MJXk4p36SmmlVjoKRERKRQcblg4EBzP368vbFciccDH3xg7q04xR5OmSmxZklCQrJPL3YgJSUiIvkxYIA5bXflSrNBmZN8+y1s3256B+6+2+5ogptTekpOnjTXkiVNUu1QSkpERPIjJga6dDH3EybYG8vvWbMkvXs7eqo+KFjlm4MHs8sndgiAfhJQUiIikn8PPWSukydDerq9sVhSU+Hjj829Sjf2K1/ebPGflQWHD9sXR86ZEgdTUiIikl+33QbXXw9Hjzpn2/lZsyAlBapXh9at7Y5GQkKc0eyqmRIRkUIuNBQeeMDcO6Xh1SrdDBhgXohiPyckJZopEREJAlaJZOFC+5sZf/4ZliwxjYz3329vLJLNCStwNFMiIhIEatSAP//ZLMOdONHeWCZPNtd27aBqVXtjkWyaKck1JSUiIgVlNbxOmGA2LLNDZmZ2UqQGV2dxwrJgzZSIiASJ22+HUqXM9PzixfbE8PXXZvySJbWtvNM4oXyjmRIRkSARGQn9+5v7d9+1J4a33zbXvn1NPOIcTijfaKZERCSIPP642eH1yy9hzRr/jr1unTkc0O2Gp57y79jyx6yZkuRkc16SHTRTIiISRGrUyF7xMnKkf8f+n/8x1379dPieE0VHZ89Q2FXCsWZKlJSIiASJF180e5csWgSrVvlnzPXrYd48syfJiy/6Z0zJO7tLONZMico3IiJBonr17M3U/DVbknOWJDbWP2NK3tm9AkczJSIiQeiFF8xZJ4mJsGyZb8fasMFsb69ZEuezcwVORgacOWPuNVMiIhJEqlbN3rfE17Ml1ixJ375Qq5Zvx5KCsbN8k5KSfa+kREQkyDz/PISHm5mSJUt8M8bGjfD555olCRR2zpRY/SRFi5pZPAdTUiIi4m2VKsHDD5v7ESPMFvTeZs2S3HMP1K7t/eeLd9nZUxIg/SSgpERExDeGD4eICFi5EiZN8u6z58+HOXM0SxJIrPJNUpJvktRrCZCVN6CkRETEN2JisntKhgyB7du989wDB7L3Q3n8cbjxRu88V3yrYkVzevP583DsmH/H1kyJiIgwbBi0bw+pqXDXXeZaEBkZZunv8ePQsCH885/eiVN8LzwcKlQw9/4u4WimRERECAmBKVOgfHnYtg2eeKJgz3vlFVi+HKKiYPp0Ux6SwGH1lezb599xA2imJNTuAK7F81vdLSXnciYRkUBSpAiMGwc9esD48dC0qZk1yavly7ObW0ePhnLlLl3qKc4XE2OuO3b499/dL7+Ya5EifhvXem978tg/4/Lk9Sf86MCBA1S2moNEREQkoCQlJVGpUqVcf9/RSUlWVhaHDh2iePHiuFwurz47JSWFypUrk5SURHR0tFefLSIiEgh89S70eDycPn2amJgYQkJy3yni6PJNSEhInjKs/IiOjlZSIiIiQc0X78IS+WisVaOriIiIOIKSEhEREXGEoE1KIiIiGDlyJBFaUiciIkHKae9CRze6ioiISPAI2pkSERERcRYlJSIiIuIISkpERETEEZSUiIiIiCMoKRERERFHCMqkZOzYsVSvXp3IyEgaNWrEihUr7A5JRETEb5YvX063bt2IiYnB5XIxe/Zsu0MCgjApmT59Ok8++SQvvPACmzZtomXLltx2223s37/f7tBERET84uzZs9x8882MGTPG7lAuEXT7lDRt2pSGDRvy3nvvXfysTp069OzZk1GjRtkYmYiIiP+5XC4+++wzevbsaXcowTVTkp6ezoYNG+jQocMln3fo0IHVq1fbFJWIiIhAkCUlx44dIzMzk/Lly1/yefny5fnll19sikpEREQgyJISi8vluuTXHo/nss9ERETEv4IqKSlbtixut/uyWZEjR45cNnsiIiIi/hVUSUl4eDiNGjVi8eLFl3y+ePFiWrRoYVNUIiIiAhBqdwD+NnToUPr37098fDzNmzdn3Lhx7N+/n0ceecTu0ERERPzizJkz/PTTTxd/vWfPHjZv3kzp0qWpUqWKbXEF3ZJgMJunvf766xw+fJh69eoxevRoWrVqZXdYIiIifrF06VLatm172ef3338/kyZN8n9AvwnKpEREREScJ6h6SkRERMS5lJSIiIiIIygpEREREUdQUiIiIiKOoKREREREHEFJiYiIiDiCkhIRERFxBCUlIiIi4ghKSkRERMQRlJSIiIiIIygpEREREUf4f6v9avAU5UHXAAAAAElFTkSuQmCC", | |
"text/plain": [ | |
"PyPlot.Figure(PyObject <Figure size 640x480 with 1 Axes>)" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
}, | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": [ | |
"w=[0.0695605, 77.3134, -960.81, 4200.22, -7206.91, 2105.08, 5593.18, -1106.35, -6160.71, 3458.63]\n" | |
] | |
} | |
], | |
"source": [ | |
"M = 9\n", | |
"λ = exp(-18)\n", | |
"w = least_square_ridge(datapoints, data, λ, M)\n", | |
"prediction=predict(w,x);\n", | |
"plot(x, y, color=\"g\");\n", | |
"plot(datapoints, data, lw=0, marker=\"o\", markeredgecolor=\"b\", markerfacecolor=\"w\");\n", | |
"plot(x, prediction, color=\"r\");\n", | |
"yticks([-1,0,1]);\n", | |
"xticks([0,1]);\n", | |
"ylim(-1.4,1.4)\n", | |
"println(\"w=\",w)" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"$\\ln \\lambda = -15$" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 344, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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", | |
"text/plain": [ | |
"PyPlot.Figure(PyObject <Figure size 640x480 with 1 Axes>)" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
}, | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": [ | |
"w=[0.234311, 8.12621, -25.5658, 8.15881, 40.0837, -43.8841, -38.7776, 45.0328, 76.723, -70.4565]\n" | |
] | |
} | |
], | |
"source": [ | |
"M = 9\n", | |
"λ = exp(-15)\n", | |
"w = least_square_ridge(datapoints, data, λ, M)\n", | |
"prediction=predict(w,x);\n", | |
"plot(x, y, color=\"g\");\n", | |
"plot(datapoints, data, lw=0, marker=\"o\", markeredgecolor=\"b\", markerfacecolor=\"w\");\n", | |
"plot(x, prediction, color=\"r\");\n", | |
"yticks([-1,0,1]);\n", | |
"xticks([0,1]);\n", | |
"ylim(-1.4,1.4)\n", | |
"println(\"w=\",w)" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"$\\ln \\lambda = 0$" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 345, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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K3J8jzvCpkKMCw54aBkDnJZ3ZemZrElctIuJ8tCXYjVyOuEypCaU4GXaSl4q9xE9Nf1KDtGSU1Gf42O12npv2HL8d+I28j+Vl21vbSOuXNukKFhFxEG0JTuHsdjttfm/DybCT5E+fn6+f+VqBJJnFn+Hz8svmNrGHCtpsNiY3nkzudLk5GnqUNnPbaH2JiLg1hRI3MWHLBGbvn423hze/NPuFAN8Aq0uSJPBYqseY9vw0vD28mbl3Jl9u/tLqkkREHEahxA3sOr+LDxZ/AMCnT31KmWxlLK5IklL57OX5rI5pgNd1SVd2nd9lcUUiIo6hUOLiwqPDeXHmi0TFRvF0gad5v+L7VpckDtCpQieeKfgMUbFRtJjVgsiYSKtLEhFJcgolLu6DRR+w7+I+svhnYXLjyVpH4qZsNhuTGk0iKE0Quy/spueynlaXJCKS5BRKXNic/XP4etvX2LDxw3M/qB+Jm8ucJjOTG08G4PONn7P48GKLKxIRSVoKJS7q/PXztJ3bFoBulbtRO29tiyuS5NCgQAPeLf8uAK1+a0XIjRCLKxIRSToKJS7IbrfTdm5bLoZfpERQCQbUGmB1SZKMPn3qU4pmKsq56+e0TVhE3IpCiQv6dvu3zD04Fx9PH6Y+NxVfL1+rS5JklMo7FT81+wkfTx9+P/A732z7xuqSRESShE5pczFHQ4/y/mKzw2ZgrYGUCCphcUVihRJBJRhSewhdlnShy5Iu1M1Xl9zpcltdljhaTAycOQMnT5qPCxfg8uXbH1euQFQUREfDzZvmw2YDPz/z4esLqVJBhgwQFASZM5vbbNmgYEHImNHq71BSOIUSFxIbF8vrs1/n+s3rVMtZjc6VOltdkljo/YrvM2f/HNaeWMsbv73B8teX42HT4KfLs9vhxAnYuxcOHDAf+/fD4cMmkPzzOOqklD69CScFC0KpUlChAjzxhAk0IslAZ9+4kGF/DKPHsh74+/iz8+2d5Hksj9UlicWOXD5CiQklCI8OZ0z9Mbxb4V2rS5JHYbfDwYOwaRNs324+/vzTjHjcj7c35MgBwcFmlCNDBhMm0qeHdOlMgPD2Bh8fc2u3m9GTyEjzER4Oly6ZUZbz583t8eNm5OV+1ytZ0pwyWb++OUMhVSqH/HOI+0jo67dCiYvYF7KPUl+V4mbsTSY1mkTr0q2tLkmcxJebvqTjwo6k8krFjrd3UCBDAatLkvuJjIT//Q/WrzcfGzaYaZd/8vY2oxWFC5uPQoXMn3PlMlMuHg4YEQsPN6MxBw/Cvn2wZYup9cKFux/n5wdPPgkNGkDjxiYcifyDQokbi42Lperkqvzv1P9okL8B81vMV5M0uSXOHkedqXVY8dcKKgdXZk2rNXh6JPI0QEkaN2+aUZCVK2HFChNCoqLufoyvL5QpY6ZJSpc2H48/bu63mt1uRlE2bjTfw4IFd4+o2GwmoLz+OjRtCv7+1tUqTkWhxI2NWD+Crku7EugbyJ4Oe8gRmMPqksTJHL9ynOLji3Pt5jU+q/MZXSt3tbqklOv4cVi0CBYuhOXL4fr1u7+eNStUq2amQypVMms3fHysqfVR2e2wZ48JJ3Pnwrp1t7+WOjU0awadOkHZstbVKE5BocRNHbx0kJITShIZE8k3z35DmyfaWF2SOKmJ2ybSdm5bfD192dl+JwUzFLS6pJQhNtZMc/z2m3mh3r//7q9nzGhGE2rVMh8FC5oRBndw7Bj88AN8/z0cOnT7/ho1oGtXePppx0w1idNTKHFDcfY4akypwboT66iTtw6LX12saRu5L7vdTv0f67PkyBKq56rOypYrtRvHUSIjYelSmDPHBJGQOzrrenqaEZD69c26i1Kl3P+F2W43wWz8ePj5Z7N1Gcx6mB494LXXzL+LpBgKJW5ozMYxvLfoPfx9/Nndfje50uWyuiRxcseuHKPYuGLciL7B+Ibjebvs21aX5D4iImDxYpgxwwSRa9dufy1dOjMq0Lgx1K1r/pxSnToFY8bAV19BWJi5r1gxGDrU/BvpjVWKoFDiZo6GHqX4+OKER4cz7ulxtC/X3uqSxEXEh9kAnwD2vrNXa5ASIzrajIj89JOZnrlzfUj27GZxZ5MmZo2It7d1dTqjsDCYMMGEkdBQc1+NGjBsGJQvb21t4nAKJW7kzmH4GrlqsKLlCg3Dy0O7c7fWMwWf4feXfte036Ow280Czp9+MqMily7d/lrOnPD88+ajQgX3n5ZJCqGhMGSIGT2J33nUujUMHw6PPWZtbeIwCiVu5MedP/Lq7Ffx9fRlV/td6jshj2xvyF5Kf1Wam7E3+bnZz7xU7CWrS3J+R46YBZtTp8Jff92+P3NmePFFePllqFhR0w8JdeIEfPSR+TcGyJIFxo41O3bE7ST09Vsx38lcCr9062ybvjX6KpBIgjye6XH6VOsDQKeFnbgYftHiipzUtWswcSJUrQr588OAASaQ+PtDy5awZAmcPm3e5VeqpECSGDlzwnffwdq1phncuXNmxKlpU9M+XwSFEqfTZUkXLoZfpFjmYuo1IYnSs2pPimUuRkh4CF2WdLG6HOcRPz3zxhvm3XrbtvDHH2Yqpm5d+PFH0359yhSoUwe8dERYkqpa1bTS79PH/NvOnm0Wws6da3Vl4gQUSpzI8qPL+W7Hd9iw8fUzX+Pj6SINlcQp+Xj6MPHZidiw8f2O71n510qrS7JWSIhZx1C4sFmYOmWKaa1esKBZjHnihNld06KFaQQmjuPnBwMHwtatppttaCg0agTdupnFxZJiKZQ4iYjoCNrNawdAh3IdqBRcyeKKxB1UyFHh1rbgt+e/TVRM1H/8DTdjt5v27i+9ZHbLdOtmznZJk8Ystly3zjQ769HDfF2SV4kS5gyg982UNcOHQ/XqJiBKiqRQ4iQ+WfMJR0KPkD0gO4NrD7a6HHEjg2sPJot/Fg5eOsinf3xqdTnJ4/JlGDXKrF2oXRumTTPvwMuVg6+/hrNnYdIkqFJF60Ss5uNj/lvNng1p05ombKVKmVErSXEUSpzA3pC9fLb+MwDGPj2WQN+Us9NIHC+dXzpG1xsNwOC1gzl46aDFFTnQ5s1mrUj27NC5s2l9HhAA7dvDtm3mcLy2bc194lyaNIHt201wDA2Fhg1NgJQURaHEYna7nQ7zOxATF0OjQo1oUriJ1SWJG3qh6AvUz1+fqNgo2s9vjxN3Anh0kZFmm2n58uZjyhRzX8mSpqvomTMwbpw5fVecW548ZkqtZUtzplC7dmZqLS7O6sokmSiUWGzqzqmsPr6aVF6p+Lz+51aXI27KZrPx5dNf4uflx4q/VvDjrh+tLinxTp40Ozhy5jQvYps3m6mAV1816xS2b4e33jLbe8V1+PjA5Mnw8cfmz8OGmTVBERHW1iXJQqHEQqERoXRdYrb99q3Rl9zpcltbkLi1vI/lpW/1vgB0XtyZ0IhQiytKgPjtvC+8YN5VDx5sdtXkyAGDBplzV6ZOVU8RV2ezQd++ZgTM29t01n3qKbhyxerKxMEUSizUe3lvQsJDKJKxCJ0rdba6HEkBulTuwuOZHickPIQPV3xodTkPLyrKvECVLWu2886YYYb3a9SAX381Dc9694ZMmayuVJLSa6+ZBnbp0pnRrzp1bp+jI25JocQim05v4qutXwEwruE49SSRZOHj6cOXT38JwPgt49l6ZqvFFf2HkBD45BPIndtM0WzbZnpcvPmmacC1apXpCKoGZ+6rZk1YvRoyZoQtW8yIyeXLVlclDqJQYoHYuFiz2BA7r5V4jZq5a1pdkqQgNXPXpEXxFtix886Cd4izO+Eiwj17zC6ZnDnNMP65c5Atm5miOXnStIYvWdLqKiW5lCgBK1eakbBt28w27zsPShS3oVBigQlbJrDt7DbS+aXjszqfWV2OpEDD6wwnwCeAjac3Mnn7ZKvLMex2WLoUGjQwbccnTjS7aMqWNa3fjx0zUzQZM1pdqVihWDETTDJnNqNktWvDRZ3p5G4USpJZyI0QPlxp5vIHPTmIIP8giyuSlChrQFYG1BoAQI9lPbgcYeFw+M2b5qC2UqXM2TOLFplzaJo2NYtaN20yrd+9va2rUZxD0aImmAQFwY4dUK+eOVRR3IZCSTLrvbw3VyKvUCpLKdqVaWd1OZKCdSzfkeKZi3Mp4hK9l/dO/gJCQ82ZM7lzQ6tWsHOnaf/eqZNpevbrr+q4Kv/2+ONmLVH8VM7zz+u8HDeiUJKMNp3exKTtkwAY22Asnh6eFlckKZmXh9etRa9fb/2azac3J8+Fjx83Z50EB0OvXqble7ZsJqCcPAmffw558yZPLeKaCheGefPMwYlLlkCbNmb6T1yeQkkyibPH0XFBx1uLW6vkrGJ1SSJUy1WN10q8hh07HRd2dOyi1+3bzTRMvnwmeNy4AcWLm6mbv/4ynTsfe8xx1xf3Ur682Rru6Wm2i3/oQlvc5b4USpLJ5O2T2XxmMwE+AXz6VAo5FE1cwrA6wwjwCWDT6U18v+P7pH3y+MWrderAE0/Azz+b/iJPPWUOXNuxA15/3XTxFHlUTz99+3ycwYPNcQLi0hRKkkFoRCg9l/cEoH/N/mQNyGpxRSK3ZfHPQt8aptNrz2U9uRp5NfFPGhNjAsgTT5jFq8uWmXe0LVqYdQBLl5r7tV5EEqt1axhgFm3TsSMsXGhtPZIoCiXJoO/KvlwMv0iRjEV4t/y7Vpcj8i+dKnSiYIaCnL9xnk/WfJLwJwoPh7FjoUABE0D+/NPM+3fqBIcPm629OhhPktqHH5qGena7+bk7csTqiiSBFEocbNf5XYzbYoYUv2jwBd6e2tYozsfH0+fWgZCfb/yc/Rf3P9oTXLpk3q3mygXvvmt6imTKZLqxnjhh1pDkzp3kdYsAZsTtyy+hYkVzPs5zz5k1S+JyFEocyG63896i94izx9GsSDNq561tdUki91U/f32eLfgsMXExvLfoPewPs5vhxAmzkyZnTujXzzSzypvXzO0fP27ewWbI4PjiRXx9YeZM01xt1y5zQrR25LgchRIHmrN/DiuPrcTX01edW8UljKw3Eh9PH5YcWcLcg3Pv/8A9e8xZNPE7acLDTfOzX36BAwegfXtIlSr5ChcByJ7d7Mjx8oKffjI/m+JSFEocJDImki5LugDQtXJX8jyWx+KKRP5b/vT56VLJ/Nx+sPgDImMi737Ahg3QuLFp+f3992ZBa61aZifNtm3w4os6HE+sVb06jBhhPu/a1RzmJy5DocRBRm0YxV9X/iJbQDZ6Vu1pdTkiD613td5kC8jG0dCjjP7faDMEvmgR1KgBlSvD77+bOfymTWHjRlixQjtpxLm8+y688orZfv7SSzojx4UolDjAmWtnGLR2EACfPvUp/j7+Flck8vD8ffwZWnsonrGwf2x/oksWM4fkrVljzp9p3Rr27jVt4MuXt7pckX+z2Uz/kiJFzAnTbdtqfYmLUChxgF7Le3Ej+gYVc1SkRfEWVpcj8mgiI3llw3WOTfBlyrQovHftNWfSdO4MR4/CpEmmzbeIM0ud2qwr8faGOXPg22+trkgegkJJEtt4auOtrphj6o/Bw6Z/YnERYWEwbBjkyYNH+w7kCIniYiroVxN2bJpr5ulz5LC6SpGHV6oUDDKj1rz3njnoUZyaXjGTkN1u54PFHwDQsmRLymUvZ3FFIg/hwgXo08ds6+3RA86dIzJTDra+NppWnT9iQHUP3t3Y7+G2CIs4m86doWZN07fk1Vd1orCTUyhJQtP2TGPDqQ2k8U7D4NqDrS5H5MGOHTNtuXPlMueGXL1KWPbCdM0wmcCQI5Sd+h7zBw3Ae+xx1i7KyMy9M62uWOTRxR/YlzYtbNoEAwdaXZE8gEJJEomIjqD70u4A9Kzak2wB2SyuSOQ+9uyB116D/PlNF8zISChXjv91n8Vjp/dwsHIr1mzw4do1swO4XuXsMGMm74xY9u8twiKuIDgYJkwwnw8caHaNiVNSKEkiIzeM5GTYSYIDg2/1eRBxKv/73+0eIz/8cPu03uXLiV2/kZenP0fDZz2YM8d06/b3N7e//WajYUMI/b0Pw9eNsvq7EEmYl14y24Tj4qBNG03jOCmFkiRw9tpZhqwbAsDQp4aSyludLMVJ2O2msVnNmlCp0t2CoYO0AAAgAElEQVQ9RjZtMqf1Pvkka9fZOHYMevcGj3/8VvDwgD69PYi5lJNBP67h3PVzVnwnIok3ejRkzAi7d8Pw4VZXI/egUJIEPlzxITeib1AhewVeLvay1eWImFGQ6dOhTBmoX990tfxnj5Fytxdinz1rbosVu/fTxd8fGZqOviv7Orh4EQfJmBFG/T3a9/HH2o3jhBRKEmn72e1M/nMyAKPqjcKmrpZipagomDjRNI168UXYvt30a3j/fXOc+316jGTNam53777309663/8sk7ZPYtf5XY6pX8TRXnkF6tQx/6+8/baaqjkZhZJEsNvtdF7SGTt2Xir2EpWCK1ldkqRU166ZPiJ585rulYcOQfr00L+/Ocl31Ciz2O8+qlWD3LnNJpy4uLu/FhcHQ4ZAnjzQrEEQcfY4uizpoi3C4ppsNhg/Hvz8zBEJU6daXZHcIUWGkthYWLUKfv7Z3MbGJux55h6cy6pjq/D19GVo7aFJWaLIwwkJgY8+Mj1GunaFM2fMSamjRsHx49CvH2TI8J9P4+lpMs28edCkidl1E7/7pkkTc//w4fBpncH4ePqw9OhSFh1elAzfoIgD5MtnAjuYPiYhIZaWI7eluFAya5bZCVmrFrRoYW7z5zf3P4ro2Gi6Le0GQOdKncmVLpcDqhW5j2PHzKFjuXKZLY5XrkChQqaV9tGjZrrG/9HOXGraFGbOhF27zLl7gYHmdvduc3/TppAvfT46le8EQJclXYiJi3HANyeSDDp3hhIl4NIl6KIdk84iRYWSWbPg+eehePG73wkWL27uf5Rg8tXWrzh46SCZUmfSKcCSfHbtMl0p8+eHsWMhIgLKljULV/fsgTfeAB+fBD9906Zw+DCsXGmODVm50swENW16+zF9qvchQ6oM7Lu4j2+2fpME35SIBby94ZtvzHTO1Kmwfr3VFQlgszvxxHBYWBhp06bl6tWrBAYGJuq5YmPN7/Hixc3ZTHdue4yLM0PUu3ebX8Ceng9+riuRV8g/Jj+XIi4x7ulxtC/XPlG1iTyQ3Q7r1sHQobBgwe3769QxbeGffNL8Yk1GX276ko4LO5IpdSYOvXuItH5pk/X6IkmmTRuzALx8efMu9Z974iVBEvr6nWL+9deu5YF9GHr1gr/+Mo/7L0PWDuFSxCWKZCxC2zJtHVKvCHFx8NtvUKUKVK9uAonNBs2bw5YtsGQJ1K6d7IEE4K0yb1E4Y2FCwkMYuk7rqcSFDRxopjo3bTILDcVSKSaUPGwfhvjH3c+xK8cYvXE0AJ/V+QwvD68kqlDkbzdvwpQp5ocyftWpjw+89RYcOHC7/4iFvD29GfbUMABG/W8UJ66esLQekQTLksW8WwXo2RPCw62tJ4VLMaHkYfswxD/ufnot78XN2Js8medJni7wdNIVKHLntt433oB9+8xq0549zU6ar76CAgWsrvKWZwo+Q83cNYmKjeLDFR9aXY5Iwn3wgVk0fuqUOr1aTGtKePg1JRtPbaTipIrYsLGt3TZKZSmVqJpEADh/HsaMgXHjzC4aMOn4/fehXTtzuqmT2npmK2W/KWs+f2srT2R9wuKKRBJo+nTTcDB1ajMimSOH1RW5NK0p+Q8P24fhfoHEbrfTZYnZNtayVEsFEkm8gwdN6MiVy3Qti9/WO3GiWeDUvbtTBxKAMtnK8ErxVwDUUE1cW/PmZv1WePjt6RxJdikmlMDD9WG4n98O/MYfJ/8glVcqPqn1SfIVLe5n40Zo1sy0e//6a9PuumJFsyd97154803w9bW6yoc26MlB+Hr6surYKuYfmm91OSIJY7PdPhdn6lTYvNnaelKoFBVK4OH6MPxTdGw0PZb1AOCDih+QI1DDevKI4uLMcFyNGrcDiN0OzzxjtnytXw/PPeeS2xFzpcvFexXeA6D70u5qqCauq1w5eO0187lGSyyRYtaUJMa4zeN4Z8E7ZEqdicOdDhPoa10t4mKiokz6/ewzs3AVTNOmV14xbeGLFrW2viRyZ++eCQ0n0K5sO6tLEkmYY8egYEGIjjbnkNSoYXVFLklrShwkLCqM/qv6A9CvRj8FEnk4V66YZmd58kDr1rd30nTrZtaLTJ7sNoEEIJ1fOvrV6AdA31V9uRZ1zeKKRBIod27TUA3MuVLO+77dLSmU/IdhfwwjJDyEghkK8laZt6wuR5zd8eNme2FwsOnId/asOSBv2DBzWu+wYebPbqhd2XbkT5+fCzcuMHy9tlWKC+vTx6zrWrsWli61upoURaHkAU6HnWbkhpEADK09FG9Pb4srEqe1dSu8/LI5fXT0aLh+3ew//+47c0Bet25Ov5MmsXw8fRhSewgAwzcM5+y1/+hEKOKssmeH9n8fH6LRkmSlUPIAH638iIiYCKoEV6FJ4SZWlyPOJi4O5s83R02XLQu//GIa4tSuDYsWwY4d8PrriTogz9U0K9KMijkqEh4dTr9V/awuRyThevY0PUs2bTKL1CVZKJTcx67zu5jy5xQAhtcdjs2C80XESUVEmK28RYua3TOrVoGXlzm9d/t2WLYM6tWz5Ewaq9lsNobXMVM3k7ZPYm/IXosrEkmgoCB4913zed++5k2IOJxCyX30WNYDO3aaP96cijkqWl2OOIMLF6BfP8iZ0zQ927//7sWrU6dCKTXVq5KzCs8Vfo44exw9l/W0uhyRhOvWDQIC4M8/zTZ+cTiFkntYfnQ5Cw8vxMvDi8G1B1tdjlhtzx6zGj9nThgwAC5eNF1YR42CkyfN4lW1pL7LkNpD8LR5MvfgXFYfW211OSIJkyGDWbgO5g1JbKy19aQACiX/EGePo/uy7gC0L9ue/OnzW1yRWMJuhyVLoH59c1rvpEmm50j58jBtmunA9/77ZqRE/qVQxkK3dqt1XdqVOLuGvsVFde4M6dKZbsu//WZ1NW5PoeQfftn9C9vObiPAJ4CPqn9kdTmS3CIizNkzxYubdSGLF5suq82awR9/wP/+By+8YNaQyAP1q9EPfx9/tpzZwvQ9060uRyRh0qaFd94xn3/6qXbiOJhCyR2iYqLovdy0Fu5ZtSeZ0mSyuCJJNufOma1/OXNC27ZmysbfH957z5xDMHOmOSgpBS5eTagg/yC6Vzajjn1W9OFm7E2LKxJJoE6dwM/P7MRZrelIR1IoucOXm7/k+NXjZAvIxvsV37e6HEkO27ZBy5YmjAwcaNaL5Mxpjow+dcr0HMmb1+oqXVbnSp3J4p+Fo6FHmbBlgtXliCRM5szwxhvm808/tbYWN6dQ8rfQiFAGrhkIwICaA0jtndriisRhYmPNSvrq1aFMGfj+e3PORaVKMH06HDkCXbq4fbOz5JDGJw0f1/wYgAGrB3A18qrFFYkkUNeuZio3vgeROIRCyd+GrBtCaGQoRTMVpWWpllaXI44QGmpGQPLlM2tE1q41a0NatICNG81Jvc2ba71IEmtdujWFMxbmUsQlhv0xzOpyRBImb17z+wHMjjtxCIUS4MTVE4zZOAaAoU8NxctDL0puZf9+6NDBbNvt1s2cT5Mhgzma/Ngx+PFHs6tGHMLLw4uhtYcCMOp/ozgddtriikQSqEcPczttmulNJElOoQTTTj4qNooauWrQsEBDq8uRpBDfAr5ePShSBMaPh/Bws6tm4kTTX2TQILc9HM/ZNCrUiCrBVYiIiVD7eXFdpUtD3bpmCnjECKurcUspPpTsOLeDqTumAjCszjC1k3d1V6+axakFC5oW8EuWmB0zjRvDihVmLvjNNyFVKqsrTVFsNhuf1fkMgMl/TmbPhT0WVySSQPGjJd9+CyEh1tbihlJ8KOm5vCd27LxQ9AXKZ9cQvsvau9dM0WTPbjowHjliGh517Wo+nzPHHJyn0GmZSsGVaFqkqWk/v1zt58VFxR/AGREBY8daXY3bSdGhZMVfK1h0eBFeHl4MenKQ1eXIo4qNNWHjqafM4Xjjx8ONG/D44zBhgtnS+9lnkCeP1ZXK3+Lbz887OE/t58U12WxmbRqY3zNRUdbW42aSJZSMGzeOPHny4OfnR5kyZVi7dm1yXPaB4uxxdF9qGju9XeZttZN3JSEhMHSoWQ3/3HOwfLnZqhf/+e7d5sC8NGmsrlT+oWCGgrfaz3df1h27umOKK3ruOTMqe+GCaawoScbhoWTatGm8//779OnTh+3bt1OtWjUaNGjAiRMnHH3pB9e1expbz2417eRrqJ28S9i0yTQ6y5EDevWCEyfMLpoePeDoUdN75MknNUXj5PrV6Eca7zRsOr2JmXv1C11ckLc3vP22+VxTOEnK4aFk5MiRvPnmm7Rp04YiRYowevRogoODGT9+/L8eGxUVRVhY2F0fjhAVE0WfFX0A6F6lO5nTZHbIdSQJRETA5MlQrhxUqGAand28aeZ0p0wxUzRDh5pTe8UlBPkH0a2yGf7uvaI30bHRFlckkgBt25pw8r//wZYtVleTIFcir1B3al2WH11udSm3ODSU3Lx5k61bt1K3bt277q9bty7r16//1+OHDBlC2rRpb30EBwc7pK6J2yby15W/yOqflQ8qfuCQa0giHT5sFqlmzw6tW5v/6X194bXXTKOzzZvNqImfn9WVSgJ0qdyFoDRBHL58mK+3fm11OSKPLijIHM4JLjta8um6T1l6dCkdF3YkNi7W6nIAB4eSixcvEhsbS1BQ0F33BwUFce7cuX89vlevXly9evXWx8mTJx1S16slXqV31d4MqT2END5ad+A0YmLMwtV69aBAAdMHIDQUcuc2502cOmVGStTozOX5+/jTr4bpV/Lx6o+5FnXN4opEEuDdd83tL7+43PbgU2GnGL1xNACfPvUpnh6eFldkJMtC13/2/rDb7ffsB+Lr60tgYOBdH46Q1i8tg2oPUjt5Z3HmDHzyidkl89xzt3uLPP00zJtnRk26d4eMGa2uVJJQmyfaUDBDQULCQ/hs/WdWlyPy6MqXN1PJUVEwaZLV1TySfiv7ERkTSdWcVXm24LNWl3OLQ0NJxowZ8fT0/NeoyIULF/41eiIpTFwcLF1qzqDJmRP69jUjIRkzmoWrR46YjqwNG4KncyR4SVrent4MfnIwACM2jODstbMWVyTyiGw26NjRfD5unBntdQG7L+xmyo4pAAx7yrmahjo0lPj4+FCmTBmWLl161/1Lly6lcuXKjry0OKuQENM7pFAh06551izTb6RqVfjhh9sLV9VbJEVoWqQpFXNUJDw6nP6r+ltdjsije/FF82bq5EmYO9fqah5Kz2U9ibPH0axIMyoFV7K6nLs4fPqmc+fOTJw4kW+//ZZ9+/bxwQcfcOLECd6O304l7s9uh5Ur4aWXzMLV7t3NlExgoHmXsWuXObH3lVfMYlZJMe5sPz9p+yT2X9xvcUUij8jPz+zEAZdY8Lr62GrmH5qPp82TwbUHW13Ovzg8lLz44ouMHj2aAQMGUKpUKdasWcOCBQvIpS2c7i8kBIYPh8KFTf+QadMgOtps75040awl+eILKFbM6krFQlVzVqVxocbE2mPptbyX1eWIPLq33zYNHFesgH37rK7mvux2O92Xmaahb5V5i4IZClpc0b/Z7E7cUjEsLIy0adNy9epVhy16lSQWPyry9ddmaib67x4U/v7QooXptPrEE9bWKE5nX8g+io0vRpw9jnVvrKNKzipWlyTyaBo1MtM3XbuaKWonNGPPDF6Y+QJpvNNwpNMRgvwdt7Yzoa/fKfrsG0lC586ZtSAFCkDt2rdHRcqWha++MqMiX32lQCL3VCRTEdqUbgNAt6Xd1H5eXM+bb5rb77+//WbMidyMvUnvFb0B6Fa5m0MDSWIolEjCxcbCggVmG2986/cjRyAgwAxnbt1qmpy99Za5T+QB+tfsT2rv1Gw4tYE5++dYXY7Io3n6adNQ7cIFs3PQyXy99WsOXz5MUJogulTuYnU596VQIo/ur7/go49MU7OGDU3Ds9hYqFQJvv3WjIqMH69REXkkWQOy0qWS+WXZc3lPtZ8X1+LtbbpMg9P1LAmLCuPj1R8D8HHNj/H38be4ovtTKJGHExlpuhbWqWNO5x040GzfTZ8e3nvP7KBZvx7eeMOsHxFJgG6Vu5EpdSYOXjrIpO3O9Ytd5D+98Ya5XbDAvDlzEsP+GMbF8IsUylCIN5940+pyHkihRB5s2zazbTdrVnj5ZVi2zDQMqlPHrBs5cwZGj9YOGkkSAb4B9K3RF4B+q/qp/by4lsKFoUoV0xzy+++trgaA02GnGblhJABDnxqKl4eXxRU9mEKJ/NulSzBmDJQuDWXKwJdfwpUrEBxsOq8ePWpawb/wgvqKSJJ7q8xb5E+fnws3LjBiwwiryxF5NPELXr/91uxGtFi/Vf2IiImgSnAVGhdqbHU5/0lbgsWIiTFBY/Jk+O2326vHfXzMQtY33zS9RtTyXZLBzL0zaT6jOWm803Do3UNkDchqdUkiD+f6dTOyfP06rF4N1atbVsqeC3soMaEEcfY41rden6zdW7UlWBJm3z5z1kzOnGbR6syZJpCULm1GS86cub2WRIFEkkmzIs2omKMiN6JvqP28uBZ/f9N6Hixf8NpzufO2k78fjZSkRKGhJmhMmQKbNt2+P0MGePVVs1irZEnLyhMBWHdiHdUmV8PD5sHu9rspkqmI1SWJPJwNG6ByZUiVyvRwsuD1a9WxVdT6rhaeNk/2vrM32bu3aqREHiw6GubNg+bNIUsW6NDBBBJPT9OJcNas24tWFUjECVTNWZUmhZsQZ4+j5/KeVpcj8vAqVjSLXiMizBvAZBZnj6Pb0m4AtCvTzinbyd+PQok7s9th+3b44APT3OzZZ830zM2bUKIEjBwJp0+bNSTPPWfWj4g4kaG1h+Jp8+T3A7+z5vgaq8sReTg22+0Fr1OmJPvlp+2expYzW/D38adfzX7Jfv3EUChxR2fOmLMXSpQwDcxGjzZdBjNnNgHlzz9hxw7zeZBzthoWASiUsRBvlXkLUPt5cTGvvGLCyYYNZsdiMomKibrVTr5HlR5kTpM52a6dFBRK3MX162ZffN26Zutu9+6we7fZstu8Ofz+u2l2NnKkpmfEpfSr0Y803mnYdHoT0/dMt7ockYeTNavZsQjJOoUzdtNYjl05RraAbHSu1DnZrptUFEpcWUwMLFpkEnlQkGlxvHSpadxTtao5qffcOZg+3UzdeHtbXbHIIwvyD6J7FXPceu8VvYmKibK4IpGH1KKFuf3xx2TpWXI54jID1w4E4JNan5DaO7XDr5nUFEpcjd1uFqh26gTZs0ODBvDTTxAebk7oHTDAHIq3di20bQvp0lldsUiidanUhaz+WTkaepRxm8dZXY7Iw2nWzIxW791rjuJwsEFrBnEl8grFMxenZcmWDr+eIyiUuIqDB6F/fyhYECpUgC++MOtEMmY0beA3boQDB8xBeXnzWl2tSJJK45OGT2p9AsAnaz7hcsRliysSeQhp05r+T2DePDrQX6F/MXbzWACG1RmGp4dr9pVSKHFmZ8/CqFFQrhwUKgQffwyHD5u97y+/bI7HPnPGBJTy5c2iKhE31apUK4plLkZoZCiD1gyyuhyRhxM/hfPzz2Zq3UF6r+jNzdibPJX3Kerlq+ew6ziamqc5m9BQ+PVXk6pXrbo9D+npabqqtmgBTZpAQIClZYpYYfHhxdT/sT7eHt7s77ifvI9pVFCcXESE6Q0VFgZr1kC1akl+iU2nN1FhYgVs2Nj61lZKZy2d5Nd4VGqe5squXzcpulEjs2C1bVtYudIEkooVzUjImTOwcCG89poCiaRY9fLXo26+ukTHRdNreS+ryxH5b6lSQdOm5nMHTOHY7XY6Lza7bF4v+bpTBJLE0EiJVSIjzc6ZX36BuXPNQtV4xYub6ZmXXoI8eayrUcQJ7Ty/k1ITSmHHzoY3N1AxR0WrSxJ5sKVLTbuG9OnNtHwSNqqctW8WzaY3I5VXKg6+e5AcgTmS7LkTQyMlruDmTViwwGzdDQoyXVSnTTOBJF8+6NPH9BbZuRN69VIgEbmHEkElaFWqFQBdl3RVQzVxfk8+aX7nX75sAkoSuRl7kx7LegBmh5qzBJLEUChxtJgY80PYpo2ZV2zY0DQ5Cwszrd+7dIHNm+HQIRg4EIoWtbpiEaf3Sa1PSOWVij9O/sGv+361uhyRB/P0NCPfkKRTOOM2j+Pw5cMEpbndy8fVKZQ4QkwMLFsGb71lgkjduuYI69BQk5Y7djR9RI4fh+HDoWxZ7ZwReQTZA7PTrbI5cKzHsh73bKgWG2vWiv/8s7mNjU3eGkXuEr8LZ84cuHEj0U8XGhHKgNUDABhQawABvu6x1lChJKnEj4i89ZZpL1ynDnzzDVy6BJkyQbt2sGKFOQDviy9Mx1UP/fOLJFS3Kt1uNVQbu2nsXV+bNQvy54datcxrQa1a5s+zZllUrEi5cmaaPjzcnNieSAPXDCQ0MpSimYrSunTrJCjQOehVMTGio2HJErNbJn5E5Jtv4OJFyJDBBJRly8zOmQkTzG9GT9dsaCPibPx9/Bn45N8ttdd8wsXwi4AJHs8/b9aLb9gA166Z2+LFzf0KJmIJm82cQwaJ/iE8cvkIX2z6AoDhdYfj5eGV2OqchnbfPKqoKBM0Zs6E334zUzLxMmY0W7+ef94EEC/3+UERcUaxcbGU+boMO87v4N3y7zKq7hjy5zcBZM6cuwcj4+JMi5/du80SLr0/kISKjTUz8GfPmoHxatUe8udp82bT6DJNGggJMduFE+D56c/z675fqZuvLotfXZyg53C0hL5+K5Q8jPBws3131iyzfTcs7PbXMmc2u2iaN4caNRRERJLZ8qPLeWrqU3jaPPm25FFaNsnJhg2mxc8/bdgAlSubNkA1ayZ7qeIGZs0y+xOOHbt9X+7cMGLE7XYk92W3mwefOGHe1DZq9MjXX3N8DTWm1MDD5sGf7f6keFDxR36O5KAtwUnt6lWzSrpZMzMC0qyZOekxLAyyZTOLVVetuj01U7u2AomIBWrnrc2zBZ8l1h7L58umA1Cs2L0fG3//2bPJVJy4lURPDdpst5PLr4++ayzOHnerUVqb0m2cNpAkhkZK7nT+vEmvs2fD8uVmzUi83LnND1OzZuYtmBapijiNAxcPUGx8MWKOVIHvVmmkRJJcbCxJMzW4di1Ur25OcL9wAby9H7qG7/78jla/tSLAJ4BD7x4iyD8o4d+QgyX09Vtv7Y8eNT9hs2fDH3/cPmsGoEgRMzXTrBmULq1tuyJOqlDGQrQv254vYr4kVaZzDB4cxJw5tn+9cAwZYnoSOuD4EXFza9eaKZuff/73e1IPD9PvsnJl87gHBt7KlU1riPPnTTquW/ehrn/j5g16r+gNQJ9qfZIkkCR4bYwDpcy3+0eOQL9+ULKk2aLVpQusW2cCSdmyMHgw7NsHe/fCoEHwxBMKJCJOrl+NfqRLHUhErQ7Mm2feud45xN6kidmJOXy49b94xfXET/klemrQ09P8MMIj7cIZ9scwzlw7Q550eXiv4nsP/ffux1m3zafMULJtGwwYYNq5e3qa/xpjxphmZps3m8hbuLDVVYrII8iQOgP9a/SHx2cT8GprduyMo3JlCAw0b0537zab5v5zMaLIPWTNam5377731+Pvj3/cAzVrZm5nz36orn6nwk7x2frPABhWZxh+Xn4PcZH7c+Zt8ylzTcn16+b8mUaN4JlnTE8REXF50bHRFB9fnAOXDtClQnee8fvUqYamxXUl2ZoSMOsVg4JMS4k1a/5zPvG12a/xw84fqJazGqtbrcaWiJH7JP0+HkC7bx6Fv79Z+dyypQKJiBvx9vRmZL2RAIzZPIocJQ7z8stmjl+BRBLD09Ns+02SqUFv79vbgf9jF87GUxv5YecPAIysNzJRgQRur43p3fv+a2P++ss8zgopM5SIiNtqkL8B9fLVIzoumq5LulpdjriRpk3NFOCuXSR+ajD+wbNm3b3B4g5x9jjeW2TWj7Qs2ZKy2com8jtIwrUxDqJQIiJuxWazMbLeSDxtnvx24DeWH11udUniRpo2hcOHzcaZn34yt4cOJWCtUt26prPryZOwZcs9H/Ljzh/ZeHoj/j7+DKk9JPHFk8RrYxxAoURE3M7jmR6nfdn2AHyw+ANi4mIsrkjciaenmRJM1NSgnx80bGg+v8fK0us3r9NjWQ8APqz2IVkDkiYlVKtm2m4NHmzWkNzJGbbNK5SIiFvqX7M/j/k9xq4Lu/hm6zdWlyPyb/G7cO4RSoasHcLZ62fJ91g+3q/4fpJdMknXxjiAQomIuKUMqTMwoNYAAD5c+SGXIy5bXJHIP9Svbxa9Hjxo5oD+djT0KCM2jABgRN0R+Hr5Jullk3RtTBJTKBERt/V22bcplrkYlyMu03dlX6vLEblbYKBpOQ8wf/6tu7su6UpUbBR18tahUaFHP7TvYSTZ2pgkplAiIm7Ly8OLMfXHADB+y3h2nt9pcUUi//DMM+Z23jzAnHo9e/9sPG2ejKo3KtFbgB8kSdbGJDGFEhFxa7Xy1KL5482Js8fRaWEnnLhfpKRE8Ytd16whOvTSrS3AHcp1oGjmohYWZg2FEhFxe5/V+YxUXqlYfXw1M/bOsLockdsKFICCBSE6msUTurInZA8ZU2ekf83+VldmCYUSEXF7udLlomfVnoCZr79x84bFFYnc4e8pnCu//gjAkNpDSJ8qvZUVWUahRERShG6Vu5ErbS5Ohp3k0z8+tbockdv+DiV19kdTLksZWpdubXFB1lEoEZEUIZV3KkbUNdssh/0xjCOXj1hckYixIZcnV30h6AZ8m60DHraU+9Kccr9zEUlxmhZpSp28dYiKjaLTIi16FevFxsXScdkHLM5n/lxs8zFL67GaQomIpBg2m40vGnyBt4c3Cw4tYO7BuVaXJCncxG0T2XZ2GyuKpjJ3/L01OKVSKBGRFKVQxkJ0rWxOD+60sBPh0eEWVyQp1aXwS/Re0RuAMq0/BFFHMAwAABp6SURBVJsNtm+H06ctrsw6CiUikuL0qdaH4MBgjl89zpC1SXP6qsij6rmsJ5cjLlM8c3HeqNsdKlQwX1iwwNrCLKRQIiIpThqfNIyuPxqAYeuHcejSof/4GyJJa/3J9UzcPhGAcQ3H4eXh9a/urimRQomIpEjPFX6OevnqcTP2Ju8ufFeLXiXZxMTF0H5+ewDeKPUGVXNWNV+I7+66bBlERlpUnbUUSkQkRYpf9Orj6cPiI4uZte/fx8eLOMIXG79g5/mdpE+VnmF1ht3+QsmSkD07hIfDqlWW1WclhRIRSbEKZChA98rdAXhv0Xtci7pmcUXi7k6FnaLvKnNi9adPfUrG1Blvf9Fmg6efNp8vXmxBddZTKBGRFK13td7keywfp6+d5qOVH1ldjri5zos7c/3mdSrlqHTvzq1165rbJUuStzAnoVAiIilaKu9UjGs4DoAvNn3B1jNbLa5I3NXiw4uZsXcGHjYPxjccf+/OrU8+aUZM9u5NkVuDFUpEJMWrm68uLxd7mTh7HO3mtSM2LtbqksTNhEeH02FBBwA6le9EySwl7/3A9OmhXDnz+dKlyVSd81AoEREBRtYbSTq/dGw9u5UvN39pdTniZgasHsDR0KNkD8jOx7U+fvCD46dwFEpERFKmLP5ZGFp7KAB9VvThVNgpiysSd7Hj3A6Grx8OmJ4kgb6BD/4LdeqY26VLIS7OwdU5F4USEZG/tS3Tlko5KnH95nU6LexkdTniBmLjYmk7ty2x9lief/x5GhVq9N9/qWJF8PeHkBDYudPxRToRhRIRkb952Dz46pmv8PLwYvb+2czeN9vqksTFjd00ls1nNpPWNy1j6o95uL/k4wM1a5rPU9guHIUSEZE7FA8qfqt3SYcFHQiNCLW4InFVJ66eoM+KPoDpSZI1IOvD/+UUujVYoURE5B8+qvERhTIU4tz1c3Rb2s3qcsQF2e12OszvwI3oG1TNWZW2Zdo+2hPErytZt850eE0hFEpERP7Bz8uPiY3MYWmTtk9i+dHlFlckrmbanmnMPzQfH08fvn7m63v3JHmQQoUgOBiiomDtWscU6YQUSkRE7qFqzqq8U+4dAN6a9xbh0Snn3aokzoUbF+i4oCMAvav2pkimIo/+JDbb3btwUgiFEhGR+xhSewjBgcEcDT1K35V9rS5HXETHBR25FHGJEkEl6FWtV8KfKAWuK1EoERG5jwDfACY8MwGAUf8bxabTmyyuSJzdr3t/ZcbeGXjaPJnceDI+nj4Jf7Latc2Iya5dcPZs0hXpxBRKREQe4OkCT/NK8VeIs8fRak4rImMirS5JnNSl8Eu3Wsn3rNqTJ7I+kbgnzJgRnvj7OZYtS2R1rkGhRETkP3xe/3OC0gSx7+I+TePIfb236D0u3LhA0UxF+ah6Ep04ncJaziuUiIj8hwypM/D1s18DMHz9cNafXG9xReJs5h6Yy4+7fsTD5sHkxpPx9fJNmie+c7Gr3Z40z+nEFEpERB5Co0KNeL3k69ix02pOK+3GkVsuhV+i3bx2AHSt1JVy2csl3ZNXrgx+fnDuHBw4kHTP66QUSkREHtLn9T8ne0B2Dl0+RK9lidhVIW7DbrfTfn57zl4/S+GMhelfs3/SXsDXFypVMp+vWpW0z+2EFEpERB5SOr90t5qqjdk0htXHVltckeuIjTWvqT//bG5jY62uKGn8tOsnZuydgZeHFz889wOpvFMl/UXiz8FRKBERkTvVz1+fNqXbANDqt1aERYVZXJHzmzUL8ueHWrWgRQtzmz+/ud+Vnbx6kncWmAZ7fav3pUy2Mo650J2hxM3XlSiUiIg8ohH1RpArbS6OXTlGp4WdrC7Hqc2aBc8/D8WLw4YNcO2auS1e3NzvqsEkzh7HG7+9wdWoq1TIXiFxTdL+S4UKZl3J+fNuv65EoURE5BEF+gYy9bmpeNg8+G7Hd0zfM93qkpxSbCx06QLPPANz5kDFiuDvb27nzDH3d+3qmlM5YzeNZflfy0nllYrvn/seLw8vx13M19cseAW3n8JRKBERSYBquarRq6p5d9xuXjtOXj1pcUXOZ+1aOHYMevcGj3+82nh4QK9e8Ndfrnfe3L6QffRY1gOA4XWHUzBDQcdfNIWsK1EoERFJoH41+lEuWzmuRF7htdmvERvngm/5HSi+M3qxYvf+evz9rtRBPTImkpd+fYnImEjq5atH+7Ltk+fCKWRdiUKJiEgCeXt682PTH0njnYbVx1czfP1wq0tyKlmzmtvdu+/99fj74x/nCrot6cbO8zvJlDoTkxtPxmazJc+Fy5e/va5k//7kuaYFFEpERBKhQIYCjGkwBoAPV37I1jNbLa7IeVSrBrlzw+DB8P/27j3O5jrx4/j7O3eXGRqKxgxJoyUyGLmE2KQQZodckkI/pZ/albbtojXr0cp2VY/VaJXi0TYoJhp+rSRSbgkjurgzM2glNYNhxpxzfn98O5Z1m9Gc8/mec17Px8Pj+z3fOWfmPQ8ezvt8Pp/v9+t2n/k1t1uaNElq2NB+XiBY8N0CTVk3RZI0M22mroz1Y5sKkXUllBIA+JWGpwxXepN0lbnLNHDuQE4T/kV4uPTii9LChVJa2pln36Sl2cdfeMF+ntMVFBVoxAcjJElj241Vj+Qe/g8RAutKKCUA8CtZlqXXe7+u+jXqa+dPOzUyZ6Q8QTzvXxHp6dLcudLmzfYH/bg4e7tli308Pd10wotzuV0akj1Eh48fVusrW2tSt0lmgoTAuhJKCQBUgvgq8ZrTf44iwiL07tfv6rUvXzMdyTHS06UdO6Rly6SsLHu7fXtgFBJJmvjZRK3Yu0LVo6prVr9ZigqPMhPEu67k4MGgXVdCKQGAStIusZ2e7fasJGnM4jHacGCD4UTOER5uf9AfPNjeBsKUjSQt3bVUEz6dIEnK7Jmp5FrJ5sKEwLoSSgkAVKKH2z2sPtf2UamrVAPeG6DCE4WmI+ESFRQVaNC8QXJ73BqWMkxDWww1HSno15VQSgCgElmWpbf6vqUGNRqwviSAlbpKdcd7d+hQ8SGl1E1RZs9M05FsQb6uhFICAJXMu74kMixS733zniavmWw6EirokcWPaE3BGtWMqal5A+b55u6/lyLI15VQSgDAB9omttVLt74kSXp0yaP6eNfHhhOhvLI2Z526Hsnbv3tbV192teFEpzl9XcmyZWaz+AClBAB8ZHSb0RqWMkxuj1sD5w7U7p92m46Ei9hycItG5oyUJI3rNE63N77dcKJz6NzZ3n7+udkcPkApAQAfsSxLU3tNVZuENjp8/LB+N+d3Kj5ZbDoWzuNQ8SH1nd1XxSeL1e3qbprQZYLpSOd24432duVKszl8gFICAD4UExGj7IHZuqLaFdr0702694N7WfjqQKWuUvV/t792/bRLDWs21Kx+sxQe5tDzltu2tW+znJcnFRSYTlOpKCUA4GOJcYmae8dcRYRFaPaW2Xp+1fOmI+E0Ho9HD/3fQ/p076eKjYpVzuAc1a5a23Ss84uNlVJS7P0gGy2hlACAH3Rq0Emv3PaKJOnxjx/XvG/mGU4ErylfTNG0DdNkydKsfrN03RXXmY50cUE6hUMpAQA/eSD1AY1uM1oeeXTX+3dpbcFa05FC3kc7P9KYxWMkSc/f8rx6Ne5lOFE5UUoAAL+GZVl6+baX1Su5l06UnVDvWb05I8egLQe3aMB7A+T2uDU8ZbjGth9rOlL5eUvJpk3S0aNms1QiSgkA+FFEWIRm95+tlLop+qH4B/XM6qmfjv9kOlbIyS/M123/vE2FJYXqWL+jpvaaKsuyTMcqv8REqX59yeWS1gbPiBulBAD8rHpUdS0cvFD1Yuvpu0Pfqd+7/VTqKjUdK2QcPn5Yt/7zVu07sk9NL2+qBYMWKDoi2nSsigvCKRxKCQAYUC+unhbduUjVo6pr2Z5lGpI9RC63y3SsoHf85HH1mdVH3x76VvVi6+lfQ/6l+CrxpmNdGkoJAKCytKjbQvMGzFNkWKTmfjNX9+XcxzVMfKjMXabB8wZrZf5K1YypqcV3LVZSjSTTsS6dt5SsXm1P4wQBSgkAGNS9UXfN6jdLYVaY3sx9U4989AjFxAfcHrdGLRylBVsXKDo8Wh8M+iAwTv29kObN7WuWHDkibd5sOk2loJQAgGH9mvbTG73fkCRNXjNZf13xV8OJgovH49HoRaM1feN0hVlhyuqXpU4NOpmO9euFh0vt2tn7QTKFQykBAAcY3nK4Jt86WZI0fvl4vbzmZcOJgoPH49HvP/y9Xlv/mixZmpk2U+lN0k3HqjxBtq6EUgIADjGm3Rhl3JQhSXp48cN6afVLhhMFNo/Ho7GLx2rKuimyZOmtvm/pruvvMh2rclFKAAC+knFThp7o+IQk6ZGPHtEznz1jOFFg8ng8euzjx/TyWnvE6fXer+uelHsMp/KBILs5H6UEABzEsixN/O1ETegyQZI07pNxGr9sPItfK8DtceuhDx86dePDqb2m6t5W9xpO5SOxsVKLFvZ+EIyWUEoAwGEsy9L4m8brbzf/TZL09Iqn9fjHj1NMyqHUVaoh2UP06rpXZclSZs9MjUodZTqWbwXRFA6lBAAc6rGOj+nlW+3ph+dWPaf7cu7TSddJw6mc61jpMfWZ1Uezt8xWZFiksvpl6YE2D5iO5XuUEgCAP/yh3R/0Wq/XFGaF6Y2Nb+j2WberqKTIdCzHOXz8sLq93U2Ldy5W1ciqyhmco0HNBpmO5R/eUpKbG/A356OUAIDD3Z96v+YPnK+qkVX10c6P1PHNjiooCvxFjZVl66Gtaj+9vdYUrFF8lXgtvXupbr3mVtOx/CcpSapXT3K7pQ0bTKf5VSglABAAel/bWyuGrVDd6nW1+eBmtX2jrXK/zzUdy7gPt3+oG964Qdt+3KakuCStGLZC7RLbmY7lf23b2tsAv2MwpQQAHMzlkpYvl2bNko5sa62Vw9ao6eVNtf/Ift345o16e9PbpiMa4fF49PzK59Urq5eKSorUsX5HrRu5LvAvHX+pbrjB3n7xhdkcvxKlBAAcKjtbuuYaqWtX6c477e3NqQ30ePwXuuXqW1R8slh3z79b9+fcrxNlJ0zH9Ztjpcc09P2h+tPHf5JHHo1sNVJL716qOtXrmI5mDiMlAABfyc6W+ve377m2erV9z7XVq+3H99xZTfdV+VAZN2XIkqVpG6apw/QO2nl4p+nYPrd+/3q1mtZK72x+R+FWuKb0mKJ/3P4PRYVHmY5mVuvWkmVJ+fnSgQOm01wyy+PgE9+LiopUo0YNFRYWKi4uznQcAPALl8seIWneXJo/375gp5fbLaWlSVu2SNu3S0v3fKQh2UN0qPiQakTXUGavTA1uNliWZZn7BXzA5XbphVUv6KllT6nMXaaE2AS9k/6OulzVxXQ052je3P6HMX++1Lev0SiX+v7NSAkAOMxnn0l79khPPnlmIZHsx088Ie3ebT+ve6Pu2nj/RrVPbK/CkkINyR6ivrP7al/RPiPZfSG/MF/d3u6mx5c+rjJ3mfo16aevRn1FIflvQbCuhFICAA7jHX1v1uzcX/ce9z4vMS5Rnw77VE93fVqRYZHK2Zaj6zKv05sb3wzoq8CedJ3Ui6teVNPMplq+Z7mqRVbT9D7T9d4d76lW1Vqm4zlPEKwroZQAgMNceaW93bLl3F/3Hvc+T5IiwyP1VOentOH+DWqT0EaFJYW694N7dcvbt2jT95t8G9gHlu9ZrpR/pOiPS/6oo6VH1T6xvTbev1EjWo4IuqmpSuMdKVm3zp7nC0CsKQEAh6nImpLw8LNfX+Yu0+TVk/XnZX9WiatElizd3eJuPd31aSXVSPLfL3IJ9vy8R+M+GaeszVmSpNpVa+vZbs9qWMowhVl8jr6gsjIpLk46flz65hupSRNjUVhTAgBBIjxcevFFaeFCu4CcfvZNWpp9/IUXzl1IJCkiLEKP3viovv7frzXgugHyyKOZm2Yq+e/JemzJY/qx+Ef//kLlsOPwDo1YMELJf09W1uYsWbL0QOoD2vrgVo1oOYJCUh4REfZZOFLATuHwtwwADpSeLs2dK23eLHXoYH8A7tDBHiGZO9f++sU0im+kOf3naO3/rFXnBp1V4irRc6ueU+LkRI38YKS2HDzP/JAffX3waw19f6iunXKt3sp9S2XuMt1y9S1aN3KdMntlKr5KvOmIgcW7riRAF7syfQMADuZy2WfZHDhgryHp1On8IyQX4vF4tGj7ImUsz9CGA/+5P8pvG/5Wo9uMVo9reqhKZJVKTH5+Px3/SXO+nqMZuTO0dt9/PtH3Su6lpzo/FZqXia8s774rDRwotWolrV9vLMalvn/7tJRMnDhRixYtUm5urqKiovTzzz9X6PWUEgCoXB6PRyvzV+qVta8o+9tsuT32gshqkdXUM7mn0pukq2dyT8VFV+7/uQeOHNAnuz9RzrYczf9uvkpcJZKkcCtcfX/TV092fFKtE1pX6s8MSXv3SlddZU/lFBVJVfxTNP+bI0tJRkaGatasqYKCAk2fPp1SAgAOkleYp1e/eFVZW7LOuOtwVHiUUhNS1SahjVITUpWakKrGtRqXe13HsdJj2n54u7b9uE2f532upbuX6psfvjnjOc2vaK7hKcN1Z/M7Q/vy8JXN45Hq1pUOHpRWrrTn/AxwZCnxmjFjhsaMGXPRUlJSUqKSkpJTj4uKipSUlEQpAQAf8ng8Wn9gvbK/zVb2t9na+uPWs54TExGjOtXq6IpqV5z6E26Fq8RVohNlJ1TiKlHhiUJtP7xd+4/sP+v1liyl1E1Rt6u7aVCzQWpZtyWn9vpKnz5STo40ebI0ZoyRCJdaSiJ8mKnCJk2apAkTJpiOAQAhxbKsUyMiz9z8jLb/uF1r963Vl/u/1Jf7v9SGAxt0vOy49hbu1d7CveX6nrWq1FJyrWSl1EnRzVffrK5XdeWCZ/5yww12KQnAM3AcVUqeeOIJjR079tRj70gJAMB/kmslK7lWsu66/i5J9nVP8gvz9e9j/9bBYwdP/XF73IqJiFF0eLRiImJULaqaGl3WSMm1kjlrxqQAPgOnwqXkL3/5y0VHM9atW6fU1NQKh4mOjlZ0dHSFXwcA8J2IsAg1vKyhGl7W0HQUlEebNvZ21y7phx+kyy83m6cCKlxKHnzwQQ0aNOiCz7nqqqsuNQ8AAPg1ataUrr1W2rrVvuR8z56mE5VbhUtJ7dq1Vbt2bV9kAQAAlaFtW7uUrF0bUKXEp1d0zcvLU25urvLy8uRyuZSbm6vc3FwdPXrUlz8WAIDQ5p3C+fJLszkqyKcLXcePH6+ZM2eeetyyZUtJ0rJly9SlSxdf/mgAAEKX9x44GzZc+HkOw2XmAQAINsXFUmysfVvpffukhAS//njuEgwAAGxVq0pNmtj7ATRaQikBACAYtWplbyklAADAKG8pMXi34IqilAAAEIwCcLErpQQAgGCUkiJZllRQYN81OABQSgAACEaxsVLjxvZ+gIyWUEoAAAhWAbbYlVICAECwCrDFrpQSAACCVYAtdqWUAAAQrH65vYv27JEOHzYapTwoJQAABKuaNaVGjez9ABgtoZQAABDMAmixK6UEAIBg5l1XEgCLXSklAAAEM0ZKAACAI3hLyY4dUmGh2SwXQSkBACCY1aolNWhg72/caDbLRVBKAAAIdgEyhUMpAQAg2AXIYldKCQAAwY6REgAA4AjeUrJ1q3T0qNksF0ApAQAg2NWpIyUkSB6P9NVXptOcF6UEAIBQ0KKFvd20yWyOC6CUAAAQCiglAADAEa6/3t4yfQMAAIzyjpR89ZXkdpvNch6UEgAAQkHjxlJ0tHTsmLRrl+k050QpAQAgFERESM2a2fsOncKhlAAAECq860ocutiVUgIAQKhw+Bk4lBIAAELF6YtdHYhSAgBAqPBO3+zeLRUVmc1yDpQSAABCRXy8lJho7ztwtIRSAgBAKHHwFA6lBACAUOLgM3AoJQAAhBIHn4FDKQEAIJR4S8nmzY673DylBACAUHLNNVJMjFRcLO3caTrNGSglAACEktMvN++wKRxKCQAAocahZ+BQSgAACDUOPQOHUgIAQKhx6Bk4lBIAAEKNd6Rk716psNBsltNQSgAACDWXXSYlJdn7DlpXQikBACAUOXAKJ8J0gAvxeDySpCIH3skQAICA9pvfSAsXSuvWVfodg73v29738fKyPBV9hR8VFBQoyTu8BAAAAkp+fr4SvXclLgdHlxK32639+/crNjZWlmVV6vcuKipSUlKS8vPzFRcXV6nfGwCAQOCr90KPx6MjR44oISFBYWHlXyni6OmbsLCwCjWsSxEXF0cpAQCENF+8F9aoUaPCr2GhKwAAcARKCQAAcISQLSXR0dHKyMhQdHS06SgAABjhtPdCRy90BQAAoSNkR0oAAICzUEoAAIAjUEoAAIAjUEoAAIAjUEoAAIAjhGQpyczMVMOGDRUTE6PWrVvrs88+Mx0JAAC/WbFihXr37q2EhARZlqX58+ebjiQpBEvJnDlzNGbMGI0bN04bN25Up06d1KNHD+Xl5ZmOBgCAXxw7dkwtWrTQlClTTEc5Q8hdp6Rt27Zq1aqVpk6deupYkyZNlJaWpkmTJhlMBgCA/1mWpffff19paWmmo4TWSElpaanWr1+v7t27n3G8e/fuWrVqlaFUAABACrFScujQIblcLtWpU+eM43Xq1NH3339vKBUAAJBCrJR4WZZ1xmOPx3PWMQAA4F8hVUpq166t8PDws0ZFDh48eNboCQAA8K+QKiVRUVFq3bq1lixZcsbxJUuWqEOHDoZSAQAASYowHcDfxo4dq6FDhyo1NVXt27fXtGnTlJeXp1GjRpmOBgCAXxw9elQ7duw49Xj37t3Kzc1VfHy86tevbyxXyJ0SLNkXT3vuued04MABNWvWTJMnT1bnzp1NxwIAwC+WL1+url27nnX8nnvu0YwZM/wf6BchWUoAAIDzhNSaEgAA4FyUEgAA4AiUEgAA4AiUEgAA4AiUEgAA4AiUEgAA4AiUEgAA4AiUEgAA4AiUEgAA4AiUEgAA4AiUEgAA4Aj/D+vGLu6s3wqVAAAAAElFTkSuQmCC", | |
"text/plain": [ | |
"PyPlot.Figure(PyObject <Figure size 640x480 with 1 Axes>)" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
}, | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": [ | |
"w=[-0.295695, 1.06776, 0.681531, 0.249153, -0.0860901, -0.330822, -0.508248, -0.637862, -0.733702, -0.805519]\n" | |
] | |
} | |
], | |
"source": [ | |
"M = 9\n", | |
"λ = 1\n", | |
"w = least_square_ridge(datapoints, data, λ, M)\n", | |
"prediction=predict(w,x);\n", | |
"plot(x, y, color=\"g\");\n", | |
"plot(datapoints, data, lw=0, marker=\"o\", markeredgecolor=\"b\", markerfacecolor=\"w\");\n", | |
"plot(x, prediction, color=\"r\");\n", | |
"yticks([-1,0,1]);\n", | |
"xticks([0,1]);\n", | |
"ylim(-1.4,1.4)\n", | |
"println(\"w=\",w)" | |
] | |
} | |
], | |
"metadata": { | |
"kernelspec": { | |
"display_name": "Julia 0.6.2", | |
"language": "julia", | |
"name": "julia-0.6" | |
}, | |
"language_info": { | |
"file_extension": ".jl", | |
"mimetype": "application/julia", | |
"name": "julia", | |
"version": "0.6.2" | |
} | |
}, | |
"nbformat": 4, | |
"nbformat_minor": 2 | |
} |
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