Skip to content

Instantly share code, notes, and snippets.

Show Gist options
  • Save genkuroki/799b4f2f5b081cfd4c7fca02fcffa23d to your computer and use it in GitHub Desktop.
Save genkuroki/799b4f2f5b081cfd4c7fca02fcffa23d to your computer and use it in GitHub Desktop.
Julia言語における配列の扱い方について
Display the source blob
Display the rendered blob
Raw
{
"cells": [
{
"metadata": {
"toc": "true"
},
"cell_type": "markdown",
"source": "# Table of Contents\n <p><div class=\"lev1 toc-item\"><a href=\"#Julia言語における配列の扱い方について\" data-toc-modified-id=\"Julia言語における配列の扱い方について-1\"><span class=\"toc-item-num\">1&nbsp;&nbsp;</span>Julia言語における配列の扱い方について</a></div><div class=\"lev2 toc-item\"><a href=\"#参考文献\" data-toc-modified-id=\"参考文献-11\"><span class=\"toc-item-num\">1.1&nbsp;&nbsp;</span>参考文献</a></div><div class=\"lev2 toc-item\"><a href=\"#3-dimensional-arrays\" data-toc-modified-id=\"3-dimensional-arrays-12\"><span class=\"toc-item-num\">1.2&nbsp;&nbsp;</span>3-dimensional arrays</a></div><div class=\"lev2 toc-item\"><a href=\"#2-dimensional-arrays-of-1-dimensional-arrays\" data-toc-modified-id=\"2-dimensional-arrays-of-1-dimensional-arrays-13\"><span class=\"toc-item-num\">1.3&nbsp;&nbsp;</span>2-dimensional arrays of 1-dimensional arrays</a></div><div class=\"lev2 toc-item\"><a href=\"#2-dimensional-arrays-of-scalars\" data-toc-modified-id=\"2-dimensional-arrays-of-scalars-14\"><span class=\"toc-item-num\">1.4&nbsp;&nbsp;</span>2-dimensional arrays of scalars</a></div><div class=\"lev2 toc-item\"><a href=\"#2次元ラプラシアンの計算結果のプロット\" data-toc-modified-id=\"2次元ラプラシアンの計算結果のプロット-15\"><span class=\"toc-item-num\">1.5&nbsp;&nbsp;</span>2次元ラプラシアンの計算結果のプロット</a></div><div class=\"lev2 toc-item\"><a href=\"#和の取り方で効率が大幅に変わる\" data-toc-modified-id=\"和の取り方で効率が大幅に変わる-16\"><span class=\"toc-item-num\">1.6&nbsp;&nbsp;</span>和の取り方で効率が大幅に変わる</a></div>"
},
{
"metadata": {},
"cell_type": "markdown",
"source": "# Julia言語における配列の扱い方について\n\n黒木玄\n\n2018-01-10\n\nJulia言語による配列の取り扱いは確かに面倒である.\n\n予備知識無しに配列の和を繰り返し書くコードを書くと大量にメモリを消費してしまう.\n\n周期境界条件の下での2次元平面の離散ラプラシアンの計算によるベンチマーク.\n\n**結論:**\n\n(1) 2次元平面上のベクトル値函数の離散化を, スカラーの3次元配列をベクトルの2次元配列とみなして実現するときは, 離散ラプラシアンの定義で dot syntax もしくは `@.` マクロを適切に使用するだけではなく, 適切に函数を分割して, `@inline` マクロも併用しなければいけない. そのどちらかを忘れると, メモリを大量消費し, 計算も遅くなってしまう.\n\n(2) 2次元平面上のベクトル値函数の離散化を, ベクトルの2次元配列で実現するとき, 離散ラプラシアンの定義で dot syntax もしくは `@.` マクロを適切に使用しなけれないけない. それを忘れると, メモリを大量消費し, 計算も遅くなってしまう. (この方法は上の3次元配列を使う場合よりも6割ほど計算が遅くなるようだ.)\n\n(3) 2次元平面上のスカラー値函数の離散化を, スカラーの2次元配列で実現するとき, 離散ラプラシアンの定義に特別な注意は必要ない."
},
{
"metadata": {},
"cell_type": "markdown",
"source": "## 参考文献\n\n* https://docs.julialang.org/en/latest/base/base/#Base.@inline\n* https://docs.julialang.org/en/latest/manual/performance-tips/\n* http://myenigma.hatenablog.com/entry/2017/08/22/093953 (上の日本語訳)\n\n特に\n\n* https://docs.julialang.org/en/latest/manual/performance-tips/#kernal-functions-1\n* https://docs.julialang.org/en/latest/manual/performance-tips/#More-dots:-Fuse-vectorized-operations-1\n* https://docs.julialang.org/en/latest/manual/performance-tips/#Consider-using-views-for-slices-1\n\nそれぞれの日本語訳が次の場所にある:\n\n* <a href=\"http://myenigma.hatenablog.com/entry/2017/08/22/093953#%E3%82%B3%E3%82%A2%E9%96%A2%E6%95%B0%E3%82%92%E5%88%86%E3%81%91%E3%82%8B\">コア関数を分ける</a>\n* <a href=\"http://myenigma.hatenablog.com/entry/2017/08/22/093953#%E3%83%89%E3%83%83%E3%83%88%E6%BC%94%E7%AE%97%E5%AD%90%E3%82%92%E4%BD%BF%E3%81%86\">ドット演算子を使う</a>\n* <a href=\"http://myenigma.hatenablog.com/entry/2017/08/22/093953#%E3%82%B9%E3%83%A9%E3%82%A4%E3%82%B9%E3%81%AEView%E3%82%92%E4%BD%BF%E3%81%86%E3%81%93%E3%81%A8%E3%82%92%E6%A4%9C%E8%A8%8E%E3%81%99%E3%82%8B\">スライスのViewを使うことを検討する</a>\n\n函数の分割, ドット演算子 (`@.` マクロ), `@view` マクロの使用に関するヒントは以上のドキュメントにある. しかし, さらに `@inline` を使用することによって, メモリ効率の高い計算を実現できる理由がよくわからない. 知っている人がいたら教えて下さい.\n\nhttps://twitter.com/genkuroki"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "using BenchmarkTools\nusing PyPlot\n\nseed = 2018\ncmap = \"CMRmap\"\n\n# 平面全体での離散ラプラシアンの計算\n#\n# laplacian_local! は離散ラプラシアンの値を局所的に計算する函数である.\n# このように, 局所的なラプラシアンの計算を別の函数として分離しておく.\n#\nfunction laplacian!(v, u, laplacian_local!)\n m, n = size(u)[end-1:end]\n for i in 1:m\n for j in 1:n\n laplacian_local!(v, u, m, n, i, j)\n end\n end\nend\n\n# laplacian_local! の性能のテスト\n#\nfunction test!(v, u, laplacian_local!; niters = 10)\n for iter in 1:niters\n laplacian!(v, u, laplacian_local!)\n end\nend\n\nversioninfo()",
"execution_count": 1,
"outputs": [
{
"output_type": "stream",
"text": "Julia Version 0.6.2\nCommit d386e40c17* (2017-12-13 18:08 UTC)\nPlatform Info:\n OS: Windows (x86_64-w64-mingw32)\n CPU: Intel(R) Core(TM) i7-4770HQ CPU @ 2.20GHz\n WORD_SIZE: 64\n BLAS: libopenblas (USE64BITINT DYNAMIC_ARCH NO_AFFINITY Haswell)\n LAPACK: libopenblas64_\n LIBM: libopenlibm\n LLVM: libLLVM-3.9.1 (ORCJIT, haswell)\n",
"name": "stdout"
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "このノートブックは以上の環境での実行結果である.\n\nJulia言語の発展は速いので, 数ヶ月後には時代遅れの内容になっているかもしれないので, 注意して欲しい"
},
{
"metadata": {},
"cell_type": "markdown",
"source": "## 3-dimensional arrays\n\n3次元配列をベクトルの2次元配列であるかのように扱った場合.\n\n`@.` と `@inline` が両方有効な場合にのみ, 望んでいたようなメモリの使い方してくれる."
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "# ラプラシアンの値を局所的に計算するための函数をこのように分離しておく.\n# @inline と @. を併用すると, メモリ消費も少なく, 計算も速くなる.\n#\n@inline function laplacian_atdot_inline!(v, u, m, n, i, j)\n @.(\n v[:,i,j] =\n @view(u[:, ifelse(i+1 ≤ m, i+1, 1), j]) + @view(u[:, ifelse(i-1 ≥ 1, i-1, m), j]) +\n @view(u[:, i, ifelse(j+1 ≤ n, j+1, 1)]) + @view(u[:, i, ifelse(j-1 ≥ 1, j-1, n)]) -\n 4*@view(u[:, i, j])\n )\nend\n\nn = 1000\nsrand(seed)\nu = rand(3, n, n)\nv = Array{Float64,3}(3, n, n)\n\n@benchmark test!(v, u, laplacian_atdot_inline!)",
"execution_count": 2,
"outputs": [
{
"output_type": "execute_result",
"execution_count": 2,
"data": {
"text/plain": "BenchmarkTools.Trial: \n memory estimate: 320 bytes\n allocs estimate: 10\n --------------\n minimum time: 983.911 ms (0.00% GC)\n median time: 990.116 ms (0.00% GC)\n mean time: 1.010 s (0.00% GC)\n maximum time: 1.092 s (0.00% GC)\n --------------\n samples: 5\n evals/sample: 1"
},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "function laplacian_atdot!(v, u, m, n, i, j)\n @.(\n v[:,i,j] =\n @view(u[:, ifelse(i+1 ≤ m, i+1, 1), j]) + @view(u[:, ifelse(i-1 ≥ 1, i-1, m), j]) +\n @view(u[:, i, ifelse(j+1 ≤ n, j+1, 1)]) + @view(u[:, i, ifelse(j-1 ≥ 1, j-1, n)]) -\n 4*@view(u[:, i, j])\n )\nend\n\nn = 1000\nsrand(seed)\nu = rand(3, n, n)\nv = Array{Float64,3}(3, n, n)\n\n@benchmark test!(v, u, laplacian_atdot!)",
"execution_count": 3,
"outputs": [
{
"output_type": "execute_result",
"execution_count": 3,
"data": {
"text/plain": "BenchmarkTools.Trial: \n memory estimate: 2.98 GiB\n allocs estimate: 50000010\n --------------\n minimum time: 1.473 s (4.42% GC)\n median time: 1.522 s (4.45% GC)\n mean time: 1.540 s (4.42% GC)\n maximum time: 1.643 s (4.35% GC)\n --------------\n samples: 4\n evals/sample: 1"
},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "@inline function laplacian_inline!(v, u, m, n, i, j)\n v[:,i,j] =\n @view(u[:, ifelse(i+1 ≤ m, i+1, 1), j]) + @view(u[:, ifelse(i-1 ≥ 1, i-1, m), j]) +\n @view(u[:, i, ifelse(j+1 ≤ n, j+1, 1)]) + @view(u[:, i, ifelse(j-1 ≥ 1, j-1, n)]) -\n 4*@view(u[:, i, j])\nend\n\nn = 1000\nsrand(seed)\nu = rand(3, n, n)\nv = Array{Float64,3}(3, n, n)\n\n@benchmark test!(v, u, laplacian_inline!)",
"execution_count": 4,
"outputs": [
{
"output_type": "execute_result",
"execution_count": 4,
"data": {
"text/plain": "BenchmarkTools.Trial: \n memory estimate: 8.79 GiB\n allocs estimate: 129780010\n --------------\n minimum time: 6.426 s (6.01% GC)\n median time: 6.426 s (6.01% GC)\n mean time: 6.426 s (6.01% GC)\n maximum time: 6.426 s (6.01% GC)\n --------------\n samples: 1\n evals/sample: 1"
},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "function laplacian_plain!(v, u, m, n, i, j)\n v[:,i,j] =\n @view(u[:, ifelse(i+1 ≤ m, i+1, 1), j]) + @view(u[:, ifelse(i-1 ≥ 1, i-1, m), j]) +\n @view(u[:, i, ifelse(j+1 ≤ n, j+1, 1)]) + @view(u[:, i, ifelse(j-1 ≥ 1, j-1, n)]) -\n 4*@view(u[:, i, j])\nend\n\nn = 1000\nsrand(seed)\nu = rand(3, n, n)\nv = Array{Float64,3}(3, n, n)\n\n@benchmark test!(v, u, laplacian_plain!)",
"execution_count": 5,
"outputs": [
{
"output_type": "execute_result",
"execution_count": 5,
"data": {
"text/plain": "BenchmarkTools.Trial: \n memory estimate: 8.79 GiB\n allocs estimate: 129780010\n --------------\n minimum time: 6.681 s (6.02% GC)\n median time: 6.681 s (6.02% GC)\n mean time: 6.681 s (6.02% GC)\n maximum time: 6.681 s (6.02% GC)\n --------------\n samples: 1\n evals/sample: 1"
},
"metadata": {}
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "## 2-dimensional arrays of 1-dimensional arrays\n\nベクトルの2次元配列を扱った場合.\n\n`@inline` を使わなくても, `@.` を使えば望んでいたようなメモリの使い方をしてくれる.\n\n`@inline` を使うとほんの少し速くなるが, 3次元配列をベクトルの2次元配列とみなして使った場合よりも6割程度計算時間が余計にかかっている.\n\n* ベクトルの2次元配列を使う場合には `@.` さえ使っていれば, メモリを大量消費して遅くなることはない. しかし, 3次元配列を使って同様のことをした場合よりも計算は遅くなる.\n\n\n* 3次元配列を使って同様のことをしてメモリの大量消費を防ぐためには, `@.` だけではなく, `@inline` も併用することを忘れないようにしなければいけない. これは奇妙でかつ面倒である. しかし, ベクトルの2次元配列を使った場合よりも計算は速くなる.\n\n一長一短."
},
{
"metadata": {
"scrolled": true,
"trusted": true
},
"cell_type": "code",
"source": "@inline function laplacian2d_atdot_inline!(v, u, m, n, i, j)\n @. v[i,j] = \n u[ifelse(i+1 ≤ m, i+1, 1), j] + u[ifelse(i-1 ≥ 1, i-1, m), j] + \n u[i, ifelse(j+1 ≤ n, j+1, 1)] + u[i, ifelse(j-1 ≥ 1, j-1, n)] - 4u[i,j]\nend\n\nn = 1000\nsrand(seed)\nu = [rand(3) for i in 1:n, j in 1:n]\nv = [Array{Float64,1}(3) for i in 1:n, j in 1:n]\n\n@benchmark test!(v, u, laplacian2d_atdot_inline!)",
"execution_count": 6,
"outputs": [
{
"output_type": "execute_result",
"execution_count": 6,
"data": {
"text/plain": "BenchmarkTools.Trial: \n memory estimate: 320 bytes\n allocs estimate: 10\n --------------\n minimum time: 1.547 s (0.00% GC)\n median time: 1.577 s (0.00% GC)\n mean time: 1.584 s (0.00% GC)\n maximum time: 1.633 s (0.00% GC)\n --------------\n samples: 4\n evals/sample: 1"
},
"metadata": {}
}
]
},
{
"metadata": {
"scrolled": true,
"trusted": true
},
"cell_type": "code",
"source": "function laplacian2d_atdot!(v, u, m, n, i, j)\n @. v[i,j] = \n u[ifelse(i+1 ≤ m, i+1, 1), j] + u[ifelse(i-1 ≥ 1, i-1, m), j] + \n u[i, ifelse(j+1 ≤ n, j+1, 1)] + u[i, ifelse(j-1 ≥ 1, j-1, n)] - 4u[i,j]\nend\n\nn = 1000\nsrand(seed)\nu = [rand(3) for i in 1:n, j in 1:n]\nv = [Array{Float64,1}(3) for i in 1:n, j in 1:n]\n\n@benchmark test!(v, u, laplacian2d_atdot!)",
"execution_count": 7,
"outputs": [
{
"output_type": "execute_result",
"execution_count": 7,
"data": {
"text/plain": "BenchmarkTools.Trial: \n memory estimate: 320 bytes\n allocs estimate: 10\n --------------\n minimum time: 1.748 s (0.00% GC)\n median time: 1.754 s (0.00% GC)\n mean time: 1.775 s (0.00% GC)\n maximum time: 1.824 s (0.00% GC)\n --------------\n samples: 3\n evals/sample: 1"
},
"metadata": {}
}
]
},
{
"metadata": {
"scrolled": true,
"trusted": true
},
"cell_type": "code",
"source": "@inline function laplacian2d_inline!(v, u, m, n, i, j)\n v[i,j] = \n u[ifelse(i+1 ≤ m, i+1, 1), j] + u[ifelse(i-1 ≥ 1, i-1, m), j] + \n u[i, ifelse(j+1 ≤ n, j+1, 1)] + u[i, ifelse(j-1 ≥ 1, j-1, n)] - 4u[i,j]\nend\n\nn = 1000\nsrand(seed)\nu = [rand(3) for i in 1:n, j in 1:n]\nv = [Array{Float64,1}(3) for i in 1:n, j in 1:n]\n\n@benchmark test!(v, u, laplacian2d_inline!)",
"execution_count": 8,
"outputs": [
{
"output_type": "execute_result",
"execution_count": 8,
"data": {
"text/plain": "BenchmarkTools.Trial: \n memory estimate: 5.22 GiB\n allocs estimate: 50000010\n --------------\n minimum time: 18.027 s (75.08% GC)\n median time: 18.027 s (75.08% GC)\n mean time: 18.027 s (75.08% GC)\n maximum time: 18.027 s (75.08% GC)\n --------------\n samples: 1\n evals/sample: 1"
},
"metadata": {}
}
]
},
{
"metadata": {
"scrolled": true,
"trusted": true
},
"cell_type": "code",
"source": "function laplacian2d_plain!(v, u, m, n, i, j)\n v[i,j] = \n u[ifelse(i+1 ≤ m, i+1, 1), j] + u[ifelse(i-1 ≥ 1, i-1, m), j] + \n u[i, ifelse(j+1 ≤ n, j+1, 1)] + u[i, ifelse(j-1 ≥ 1, j-1, n)] - 4u[i,j]\nend\n\nn = 1000\nsrand(seed)\nu = [rand(3) for i in 1:n, j in 1:n]\nv = [Array{Float64,1}(3) for i in 1:n, j in 1:n]\n\n@benchmark test!(v, u, laplacian2d_plain!)",
"execution_count": 9,
"outputs": [
{
"output_type": "execute_result",
"execution_count": 9,
"data": {
"text/plain": "BenchmarkTools.Trial: \n memory estimate: 5.22 GiB\n allocs estimate: 50000010\n --------------\n minimum time: 21.955 s (73.55% GC)\n median time: 21.955 s (73.55% GC)\n mean time: 21.955 s (73.55% GC)\n maximum time: 21.955 s (73.55% GC)\n --------------\n samples: 1\n evals/sample: 1"
},
"metadata": {}
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "## 2-dimensional arrays of scalars\n\nスカラーの2次元配列の離散ラプラシアンでは上のような問題は発生しない."
},
{
"metadata": {
"scrolled": true,
"trusted": true
},
"cell_type": "code",
"source": "n = 1000\nsrand(seed)\nu = rand(n,n)\nv = Array{Float64,2}(n,n)\n\n@benchmark test!(v, u, laplacian2d_plain!)",
"execution_count": 10,
"outputs": [
{
"output_type": "execute_result",
"execution_count": 10,
"data": {
"text/plain": "BenchmarkTools.Trial: \n memory estimate: 320 bytes\n allocs estimate: 10\n --------------\n minimum time: 254.211 ms (0.00% GC)\n median time: 265.840 ms (0.00% GC)\n mean time: 266.084 ms (0.00% GC)\n maximum time: 273.868 ms (0.00% GC)\n --------------\n samples: 19\n evals/sample: 1"
},
"metadata": {}
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "## 2次元ラプラシアンの計算結果のプロット\n\nラプラシアンが誤りなく定義できているかの確認."
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "function plot2pcolormesh(u, v)\n figure(figsize=(8,3))\n fig = subplot(121)\n pcolormesh(x, y, u, cmap=cmap)\n colorbar()\n fig[:set_aspect](\"equal\")\n fig = subplot(122)\n pcolormesh(x, y, v, cmap=cmap)\n colorbar()\n fig[:set_aspect](\"equal\")\n tight_layout()\nend\n\nf(x, y) = exp(-x^2-y^2)\ng(x, y) = x^2 - y^2\nh(x, y) = log(x^2+y^2)\nF(x, y) = [f(x,y), g(x,y), h(x,y)]\nr = 3\nn = 1000",
"execution_count": 11,
"outputs": [
{
"output_type": "execute_result",
"execution_count": 11,
"data": {
"text/plain": "1000"
},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "x = y = linspace(-5,5,n)\nu = F.(x, y')\nU = [u[j,k][i] for i in 1:r, j in 1:n, k in 1:n]\nV = Array{Float64,3}(r,n,n)\n@time laplacian!(V, U, laplacian_atdot_inline!)\n\nfor i in 1:r\n plot2pcolormesh(U[i,:,:], V[i,:,:])\nend",
"execution_count": 12,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x000000002B379278>)",
"image/png": "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"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x000000002FBED6D8>)",
"image/png": "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"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x0000000035809CF8>)",
"image/png": "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"
},
"metadata": {}
},
{
"output_type": "stream",
"text": " 0.104697 seconds (17 allocations: 1.063 KiB)\n",
"name": "stdout"
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "x = y = linspace(-5,5,n)\nu = F.(x, y')\nv = [Array{Float64,1}(r) for i in 1:n, j in 1:n]\n@time laplacian!(v, u, laplacian2d_atdot_inline!)\n\nU = [u[j,k][i] for i in 1:r, j in 1:n, k in 1:n]\nV = [v[j,k][i] for i in 1:r, j in 1:n, k in 1:n]\nfor i in 1:r\n plot2pcolormesh(U[i,:,:], V[i,:,:])\nend",
"execution_count": 13,
"outputs": [
{
"output_type": "stream",
"text": " ",
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"text/plain": "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x000000002F77C550>)",
"image/png": "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"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x0000000053CEAF98>)",
"image/png": "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"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x0000000053C6AB70>)",
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAuwAAAEkCAYAAAB0c2S4AAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAAPYQAAD2EBqD+naQAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMS4xLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvAOZPmwAAIABJREFUeJzsnX+QFdWZ/p97Z5wBlZmALIPIgGiMkRATA0ZBJZhsEBJTmIoJ1qZQU2qWElwNteuGmF3RsmqSko1EE4lms5AfpVJbxOAmyjIpC9GIrhDR/NiwMavFfIUJ0SijZJnx3tvfP2b6Tnffc06/5/Q5fbt73o/V5b3nd1967nn6vc85XfI8zwPDMAzDMAzDMJmk3OwBMAzDMAzDMAwjhwU7wzAMwzAMw2QYFuwMwzAMwzAMk2FYsDMMwzAMwzBMhmHBzjAMwzAMwzAZhgU7wzAMwzAMw2QYFuwMwzAMwzAMk2FYsDMMwzAMwzBMhmHBzjAMwzAMwzAZhgU7wzAMwzAMw2QYFuwMwzAMwzAMk2Famz0AFbVaDQcPHsSECRNQKpWaPRyGYSzgeR7eeustTJs2DeWyeczg2LFjGBoaIpdva2vDuHHjjPtjsgXPDwxTLGzNDUAx54dMC/aDBw+iu7u72cNgGMYBfX19mD59ulHdY8eOYdasWejv7yfXmTp1Kl5++eXMfykzNHh+YJhikmRuAIo7P2RasE+YMAHA8D9eR0dHPd3zKsLysvRh5Hny9qradeLHoR4Lpb5qXPQxJCsvxkYbpiS/lEslehvUsqVSS8J21Pmq+uo88bjU49HvS5Q+MDCA7u7u+t+3CUNDQ+jv78eBAy+HvhtkDAwMYMaMWRgaGsr0FzJDx79+WlsncoSdYQqA53moVN5INDcAxZ0fMi3Y/S/hjo6O+oduU6ybim5zsZ5UqMcLYqrwTibQmynMdTG/xOmiPL5cXJkkwt1ctJvk2RHtw+nJRdaECcdjwoTjY8vZuSFlsoR//ZRKJZRKvByLYfJPDYCduQEo3vyQacEepdliPatC3a1Iz8eFLEc0ftplH/y8VOKWUs4vY5o/fB76dePyVOMR56nHodtPciqgXaN5v44ZhmEYPYo1P+RGsBdRrKch1PVFup0LN407VnMRGB1bfDu64t2NcPfHoCuyzcR0HkS751Uc/R0wDMMweaZo80MuBHsaYt22iM+PUDe/UJt9kav61xOHegI+PhrePOFuElE3i8JnQ7R7XpX49xC/7oNhGIYpDkWbH3Ih2EUUUaynZY0xEenNFue6iMZLF4vBus21wqhFrl3RrF/HrH+b11LRIigMwzCMHYo2P+RSsMs/XHvC20xYZ1mo0y9I24LKNqZRWjMRryfeXQj3JNF2WxF1tWjX698mRftCZhiGYexQtPkhd4K9mWI97ah6cqHuXqQ340KP61NHJFK96cPEi3eXEXWTaLtNcW7av1vRXqxFRQzDMIwtijU/5Eqw502sZ12o64rtvNyFmtphzMR7uhH1+Gi7HbtLXkR70SIoDMMwjB2KNj/kRrBnU6zb9b4nEfFx46G3YV7edVtJRF+0/7i26OVpwl3WRhLhbtMik1fRXrRFRQzDMIwdijY/5Eawi8meWDcR3cmEur27xySiOo07VFdWGErduIh5UruMqXVFPiY94ZyGaHdB0SIoDMMwjB2KNj/k4vFw4g/TjjBW/YPaEutmfVBsOOq6lIuVWk5UXreua5KMze7nFf9vo5vXzOvUlk3MxXUi+zfP6jXKMAzDpIOr+WHjxo04++yz0dHRgY6ODsyfPx+PPfaYss7WrVsxe/ZstLe3Y/bs2Xj44Ye1zycXgr0RfcGhK0TkNwl67ZsKMLUIU9eLE4Qm4tRU9Oj8wbgSXrptUMvGl4n/t7KVZ+ua9fOS9yvGvniuaBwMwzDM2MHN/DB9+nR87Wtfw549e7Bnzx589KMfxbJly/Cb3/xGWH737t1Yvnw5VqxYgRdeeAErVqzA5z73OTz77LNa/ZY8z/O0aqTIwMAAOjs78cYbf0RHR0cgJ3kUMI1opV77+hFLWj33lpgsRS9NfdLUenHl1PnyPFU9WZ5uuqx/W+2L0xvTBgYGMHFiF44cORL5u6bjfzccPPhzdHScQCh/FNOm/XWiPpls4V8Dxx03CaVSTmNPDMPU8bwa3nnnz4m/p5sxP0yaNAl33nknrrnmmoa85cuXY2BgIBSFX7JkCSZOnIgHH3yQ3EcOv+WKJ9ZdRGkp+cEyFNGdB6uB6Rh1o+9m+eYRdxvpaVzH1D5t4fKXGYZhGCa/6M4PAwMDoWNwcDC2j2q1ioceeghHjx7F/PnzhWV2796NxYsXh9IuueQSPP3001rnk7NFp9kQ6+lE1d1F1F1H3MO4EEr6l230XFQR7WBZN08w9dtPvsBUN705i1HFfdpA54aMYRiGGTvozg/d3d2h9FtvvRXr1q0T1vnVr36F+fPn49ixYzjxxBPx8MMPY/bs2cKy/f396OrqCqV1dXWhv7+fcBaj5Eiw6/lkk6c3Ixop71ddp9kiPW0xpOqPdklTRDmlHDVfR7ir6tgT0OJ+7e0UE8WNaPe8Y/C8FlI5hmEYZuygOz/09fWFLDHt7e3SOmeeeSb27duHN998E1u3bsVVV12FJ554QiraS6VSpE+vIS2OnAh2uujNulhXC2Lbvnd7Qn6UrEcqReOzs+d6kqh6vHDXi6rbEdaN/dpoW6e/pBRtn12GYRjGDrrzg7/rC4W2tja8+93vBgDMmzcPzz33HL75zW/ivvvuayg7derUhmj64cOHG6LuceTQwz5MFsS67OcWVboYtbdZlm7upab+VFQRHHR0/GO6hx565+Hys7V1Ddi99mhl7dyY2r3hc3fNMAzDMHkmzfnB8zyp533+/Pno7e0Npe3YsQMLFizQ6iMnEfYwScW6rphwd3Og16e6HVvRdH1R3gxU/dJsGsH6yZ5SGpdP95f743JjhdGNtMvGbqc/O1C/bFmwMwzDjC1czQ9f+cpXsHTpUnR3d+Ott97CQw89hJ07d2L79u0AgCuvvBKnnHIKenp6AAA33ngjFi5ciK9//etYtmwZtm3bhp///Od46qmntPpNLcLe09ODUqmEm266KVE7Oh9sFsS6/IIRR1R1I6fUPPXnphd5znrUUn+c8ecf15ZJns1rQ9YvtayN659a3yYcYS8GtuYHhmEYH1fzwx//+EesWLECZ555Jj72sY/h2Wefxfbt2/Hxj38cAHDgwAEcOnSoXn7BggV46KGHsGnTJpx99tnYvHkztmzZgvPOO0+r31Qi7M899xzuv/9+nH322YnasSNMRCRrt1lR9STRdkqUM4nISUMg6ey5Hh2PvC498q7rVdeNkutE23Ui4rr9idBpV96fDaqgRezZw55VbM0PDMMwYdzMD9/73veU+Tt37mxIu/zyy3H55Zdr9RPFeYT97bffxuc//3l897vfxcSJE5VlBwcHG/bBjCO5gE4WydTvy44f2STSayOSrCqfdjQzSd82fnmwGVU3ibbL+qWm6fw9JOnLLdToCUfYs4jr+YFhmLFMseYH54J91apV+OQnP4m//uu/ji3b09ODzs7O+hHcE9OdgDavn7Qvk/6SCXUxVLFrU5jb/okqyTj1xLu8vk6e/q8mzb1WbdwguIByHaV5E8noYWt+YBiGiVK0+cGpJeahhx7C3r17sWfPHlL5tWvXYs2aNfX3AwMD6O7uTiwAmi9Kkgs2fYEn7pdWj17GRp2kbVHsFtG24rZmlJfx85PbYWTl5e00WlZUbSSzrIj7olpbdPpPAvXLNi9fyGMJW/MDwzCMiKLND84Ee19fH2688Ubs2LED48aNI9Vpb29XblTvkzyymJZYdxUBdSfUk98IpY9oHHHCMF6YqwW4iXA3SU/y0KO0RLuukLdJ0b6Qxwou5weGYRigePODM8G+d+9eHD58GHPnzq2nVatV7Nq1C9/61rcwODiIlpb4J1BRyYNYtyHKTYS6DZGe9IK28QeRZJGpqn6ceFfnmwn3pFH4JGI6LdGu6scevOg0j6Q9PzAMMxYp1vzgTLB/7GMfw69+9atQ2he+8AW8973vxT/+4z8afxmnIaLTssDYEepuRHoWI+2UflSinmKLoYp3uXAHKLYVe9F2s75s9JNsRxo7FC2CMlZwNT8wDMP4FG1+cDaTTpgwAXPmzAmlnXDCCTjppJMa0qlkX6y7iNTr9aXfDj2fWoaOqi2zSzOtyLqJXUYngk4Xv/YtMnkS7UX7Qh4ruJgfGIZhghRtfkjtwUlJyaNYF10ssgtIlqZ7Y6DXzmgeJZ92UVc0jjTaoZ0DNZ+aPnoO9HYoZXWuibSucfP2khP9t1UdOvT09ODcc8/FhAkTMGXKFFx22WXYv3+/k3NgGIZh7ONqfmgWqTw4yUe0mTwFz2v0FyURBXkQMkkj+Cbp1Py48aSPaBw0a4ytyLo84p52tN11pL2RpkbavSpAuV4F3yEqnnjiCaxatQrnnnsuKpUKbrnlFixevBi//e1vccIJJxgOllFhOj8wDMMIcTQ/NItUBXtzaIxQRsmSWG+WUKdHz/WxefdKF3zRPpPZYlwI96QCvTmivbH9puJVaV+2ml/I27dvD73ftGkTpkyZgr1792LhwoVabTEMwzBNwNH80CwyNPPSSSp0XbbfrBsCk/S4PJ3PL62flFT9qMV8vICXi23bwj27fnMayc5B9IuZMZpfyNGnY1K3Cjxy5AgAYNKkSfpjZBiGYdKnYII9Nx52H9diOo32XfiSTdLlfaq94bb8X7b9ZHrtyM9TVd8kXdx3fH1ZWpI+4tLSuFm1iv+FTDkAdHd3h56W2dPTE9+F52HNmjW48MILeUEkwzBMXtCcH7JOLiPsQVyLiTyKIZNIe1w0XUd42RBp1DZsPCDJ9UOQxGX1vO3R9mxG2qO4bt8qXgXwCFsAjvwb9PX1oaOjo55Mia6vXr0aL774Ip566injYTIMwzApozk/ZJ1cCXZTn7WpJcVUTKdhgbEh4JM8EVW3nCtE/VO2cRSXC+Yns764tq/IbgxM2rdtv4niVMTXqsMHpRyAjo6OkGCP44YbbsAjjzyCXbt2Yfr06aajZBiGYdJGc37IOrkR7DYj5NkU6/kQ6roC3YWg14mqq8rLxPYw8gi4qA41sk6NtpuK6OaIdsSWcSbavRrt50yvptes5+GGG27Aww8/jJ07d2LWrFmGA2QYhmGagqP5oVnkQrAniU6btxXftolYTyOqrivUVeefxUi7rC/TyLraNqMv3G1Fq6lRdFPRHsVcaJv9SmAFR4uKVq1ahQceeADbtm3DhAkT0N/fDwDo7OzE+PHjTUbKMAzDpEnBFp3mQrBHSSJ6KWVMot/ZjNrL+1CVtx1lT1oPoG3nSLXHqAS6POpOF+46aa6i4dQbAlsR9KZt9+joC3njxo0AgEWLFoXSN23ahKuvvlqrLYZhGKYJsGDPIvZsL80U6/aj6no3MVmOtKvaVQlMdfQ83uLSmCcX7qYWFnEf2RHtSX4hUH2uVvAqgEfY7ErbyuUZDohhGIbJBI7mh2aRO8FuK2reXLHu8gaD3r4qPS6Pkh+Pqj790rQZWVflUXzn0XKmthaKrz2boh2xZayK9toQQAmO1Ibs9ckwDMNkn4LND7kS7DZ96zbKuBLrLu01pulxeXHj0Ifahn3felzU3VS427DI2BPtYWyVSX2rx4ItKmIYhmEsUbD5IVeCvZHmRcBtROxNxpZEqNsU77J+qVDEP03kydpRR3VF4lk3XVe4mwp5imintNusCL5TvCrxJ898eBQZhmEYSxRsfsiNYDe1lcSVsVHHhli3FVV3L9Tt/FpBIZmoD9bV966bbtto4j+nRduT21hMoujmkff48VrBqwBeiVaOYRiGGTsUbH7IhWA3tbTYiFY3Q6ybtElth96+vB9avXQQ9S/f4cXHNIquI64b+7ETFbct2s1uMOztLpOQWhWoESIoOXkwBsMwDGOJgs0PuRDsjbiK8mZPrNuMqtsS6qY3ULaRiT+ZCB+lUVAH61GFu4mVRdR+FkV7HDTxnYI1pmA/eTIMwzCWKNj8kFPBHsaOvUTfKhPXh32xbhZVpwt1E4tM86LslOh6tIw4Eg6Y7vYiSkvqFbch2uPQbdPkxkDWr1UK9oXMMAzDWKJg80MOBbt9D7pJxD7pDYDt9mht2BHqVNHlUshTouuicrKIuc1tGqnRdpei3URMm4j2KFTLjTUKtgsAwzAMY4mCzQ85E+wuhHXyNpot1k3Fu6392in5tqFE16PlKDvAuN2mMVui3USA27gRsIpXASjPOGrSr0AMwzBMkyjY/ED4rSC7mIjxRporrl20F0yLvh9tU10vmCa7IVDlDxequDtE3cWMSZZn+hnJ2lK9z8L1odMeBTt/h4bUqvSDYRiGGTs4mh96enpw7rnnYsKECZgyZQouu+wy7N+/X1ln8+bNKJVKDcexY8fI/eZIsNuPlGdbPIUFY5xYpIhHXaEeRSnQiaLaGoT+KOI9Lk32manqxf/bNP7bxrWvet/s61iEjRsBEl6VfjAMwzBjB0fzwxNPPIFVq1bhmWeeQW9vLyqVChYvXoyjR48q63V0dODQoUOhY9y4ceR+c2aJkaMvKpIJCJuiqRlRU5mIpaQNZxA+P5ciqdQi6C8yJsOHIInSolYZWT1TS0u0vSRtifN1CbcXxcwa4wCvCto+uyzYGYZhxhSa88PAwEAoub29He3t7Q3Ft2/fHnq/adMmTJkyBXv37sXChQul3ZRKJUydOpUwcDE5ibAn/8k9rk6zBHYzoqXUCHFDW3HR8zQjmpS+JOMVnZ9exD1cJsl7VXvNbQta+bQ6DqLs/qKi2CMfi4oYhmEYS2jOD93d3ejs7KwfPT09pG6OHDkCAJg0aZKy3Ntvv42ZM2di+vTpuPTSS/H8889rnU4hIuxpWwhstdUs8UZvA+pIepwoTzPCHu2rIT9wHopoOi3iro62U95To+NJI+2hj8By1D4TUXavAniEVUUcYWcYhhlbaM4PfX196OjoqCeLousNVT0Pa9aswYUXXog5c+ZIy733ve/F5s2b8f73vx8DAwP45je/iQsuuAAvvPACzjjjjPgxIoeCPWmk0M2DjPTrNlOsGwt1legxFUSieiK7i249lYD3z81AuNsStG5FO8hlk9wAmLdnMdLuVQFK8JwFO8MwzNhCc37o6OgICXYKq1evxosvvoinnnpKWe7888/H+eefX39/wQUX4EMf+hDuuece3H333aS+cifYdTH5KV9WV+cn/jTEetOFuqsIO6We0MNelef7eQmFu0m0PQ3RHkbvRkKHpkTRVXhV0LbtYsHOMAwzpnA8P9xwww145JFHsGvXLkyfPl2rbrlcxrnnnovf//735DoZmnnjcekXFpc3a8tUZOvUM21HWJcq0k2Fu6ofKlGRKOvTF+SyCLtI1AvsMmbCXS62o3VN27Eh/qO4tsY4Ffks2BmGYRgRjuYHz/Nwww034OGHH8bOnTsxa9Ys/aF5Hvbt24f3v//95Dq5Eez61pdk7anbz5JYTyDyKULdRKQn/LfRalMl5GUWmah4V0Td9fzojdF2qsBubMe+aA/iWmSnJtpZsDMMwzAiHM0Pq1atwgMPPIBt27ZhwoQJ6O/vBwB0dnZi/PjxAIArr7wSp5xySn3h6m233Ybzzz8fZ5xxBgYGBnD33Xdj3759+Pa3v03uNzeCPQ5X9pXG92ZR+cyLdYpQV+3GosLmQ2vKisWkQFjAx4n3OOFuwY+ehmgPYjqWuHZd2mwS4VUB0qIi3iWGYRhmTOFofti4cSMAYNGiRaH0TZs24eqrrwYAHDhwAOXy6EaMb775Jr74xS+iv78fnZ2dOOecc7Br1y58+MMfJvebC8Hu2gqj0ze1X9ti3Zbg1xbquiLd9RMlRe2XBRFyIF68xwl3QrSdYm2Jq0cV7UFM/e06wjqpNSZJ32RqVaBG+EKusWBnGIYZUziaHzzCTcDOnTtD7++66y7cddddWv1EyYVgt4ktK4ye9SVZG1bEug2hLjqvOIHuwooQXVAaHUNZ7k0PjSmBcLcZJae2YStaH8SlNSaVqDtH2BmGYRgRBZsfci/Yk1hh9NqiR9qTtmEi1pVjV4n1WOGuIdLJi081RHzcbjCicsHxqcQ7RbhLbDKq6LoN0R5GLtqDmLahJ6yTR9mtUrAvZIZhGMYSBZsfcifYk0z4OtF0U2+6PE8/mp60/nBCULgrxLmpUE+6c0wcqnbiFpUCo2MW2WZUwl0VbSdaZCiLUekCXiy49bz1EJaLy7MdZbcq2mug7bObj+9jhmEYxhYFmx9yJ9iDJImu27LCyNowKWdVrJtG1aP1qCI9jaeeUp9uKhLvqqh7ULhTou1Ei4yJ6DYR3HTxbW6NCZOhBaiVGu1HtEpOvpEZhmEYOxRsfsiVYLcZXVflJbWxNKIr0MV1yfVlUXUd+0tUqLvYlz3ap49M7Ok83ZQi3suNUXOlTSYm2q4r2kOnRqpvtgg1jJk1JrNe9ppHXFRE2duLYRiGKQwFmx/K8UWyic3oukmeiW+dKtZlbVsT6161Maru16tVw2K9oWxVnSa6CVAdwhPVqCPrW5XmEzzXaNuiusLX5jdjVDsV5XpStW3jem9Efc1a96rL8LzRL2XVQfExCrj33nsxa9YsjBs3DnPnzsWTTz5p+QQYhmEYJzieH9ImN4I9reh6GFqfScWVfDyaYpAq1oPlZVH1OLFLFehBfIFsclD7oAh1kXCXfSZORLv760KNCwGvxpmAr2kcmmzZsgU33XQTbrnlFjz//PO46KKLsHTpUhw4cMDW6BmGYRhXOJwfmkFuBHuQLEXXTYRIElGnJdaDwlQUVfcJRZo1xa5MPMeJbl1U7cnGoHMuojZF5aKvBeWd/PsSMWnLVZQ9FSjRk8DPogMDA6FjcHBQ2vQ3vvENXHPNNbj22mtx1llnYcOGDeju7q4/NINhGIbJMJrzQ9bJhWD3EixYtCFG0rDCGNcNilSpmNSwvwRfR0VqXHReKKar9o/YPiXCXXrzomGTib4OtTta3oVot2uNcR9lT8Umo/mF3N3djc7OzvrhPzY6ytDQEPbu3YvFixeH0hcvXoynn37a/nkwDMMwdmHBTqenpwfnnnsuJkyYgClTpuCyyy7D/v37rfbhJrruxgrjRKzXE/WsG1L7S1xUXiT4VQI9iA2RruojOp64qLvqXFXR9tjXzRXtJtaY3EbZayB+IQ8X7+vrw5EjR+rH2rVrhc2+9tprqFar6OrqCqV3dXWhv7/f8UkVnzTmBoZhxjia80PWcSrYn3jiCaxatQrPPPMMent7UalUsHjxYhw9etS4zSQRPpN2bNkVMiPW4+wvsroyC02wHZnHXSS6bZZTiXfZOajOW2STyZBop5C0ndxE2TUjKB0dHaGjvb1d2XypVIqM32tIY/RxMTcwDMOEKFiE3em2jtu3bw+937RpE6ZMmYK9e/di4cKFDeUHBwdDntKBgQFl+6bRdbWI0BcUpgsKdUSb1uJSalQ99rWkbrSc6L0sjQKlXnCbRVlaqSU87nLL6DmVWkfLCrdsrIa3gYyrK9uvvdRa/7crjbyO27IxnN6IaT0x8vryscrboI3f8LoQQY2OaH4hT548GS0tLQ3R9MOHDzdE3Rl9dOcGQH9+YBhmjONofmgWqXrYjxw5AgCYNGmSML+npyfkL+3u7g7l24quU8s5tbNo9jmamFCsUywhIttLsEy0jui9zEqT9Aier854Gs4l0B7lM4mzyFBuevwkC9eDPVuNvD/quGyW1cbRLgBtbW2YO3cuent7Q+m9vb1YsGBB4mEzYeLmBiB+fmAYhgnBu8SY4Xke1qxZgwsvvBBz5swRllm7dm3IX9rX16doz050XdaGC5GhswDQyAZDscCo6qvqyWwjwvcSkW1jW8c4AU95b2p1iatnaI8ZxY4dhoLJAtRMetkd/uS5Zs0a/Ou//iv+7d/+Df/93/+NL33pSzhw4ABWrlzp4ETGLpS5AdCbHxiGYdgSY8jq1avx4osv4qmnnpKWaW9vj/WUUrAdJbQR5dSpFx9l1xDrunUo9aKvo/WjbYig2l5U7QVtKkDYquLXd2F1CdYLPiFVVcc/bYHNhGJxEZXVqddYXo7tck7xiD95GjwYY/ny5Xj99ddx++2349ChQ5gzZw4effRRzJw5U3+cjBTK3ADYmx8YhhkjOJwfmkEqs+0NN9yARx55BLt27cL06dON2tCJ7tHriduQ1bG/W4e6rNC3nkSsU6Lqwnyi3UMkqpP4lWV1g8LZRyXeo8I9+NpvQyXAg/VMRXugnEjoysS38GNJINpN+xTXiSJvw5m4d+xRvP7663H99dcb1WXisTE3MAzDCCmYh92pYPc8DzfccAMefvhh7Ny5E7NmzbLUrplAt71bBpW4fsm+ddtiPS6qbmMxqizNFNliU5PFpZRoe4PwtiPafeKEtUmEXIVJ9FxVxzTPGlT/YU48imMFV3MDwzBMnYLND05n01WrVuGBBx7Atm3bMGHChPqOC52dnRg/fjy5HdPoOh09IW8aXU/sW69nikSxBbFuKtQb7DESgZ5EuAfFbzQ9aoOJRs0BuXCP1iuHd3gxEu3B841YYoI7x6gFsThaXm9GM8ouwyTKriblKHvBIihjBVtzA8MwjJSCzQ9OF51u3LgRR44cwaJFi3DyySfXjy1btrjstk7S6Ljpwj/TxYXKOlTxLSsf2v1EsSBV1r6sjmxHluD7aN+6h7I9yfuGsUbakn1OooWl0fajbdTbIv4S4mfZuqkjYHMRa2oLSikUbFHRWKHZcwPDMGOAgs0Pzi0x9tu0bYfREx+U6Dp1bHGLU4UCsJ6nESlX2WZsLWAVjVP1mcQtSgXC0e4ocQtM43zqImtMtE6c3cX/f1xkvv55yP3sOtYYEUmi7GH0fPBJ8qxQsAjKWMHF3MAwDBOiYPNDk7d4SIqNxabiOmlE15XlKNFal2Jd1bbyNWEhqqhelKgvPUiSBaYyn7rI+mJLtBv42UdptJiY+tqT7h4TP1b5mIP1rFKwL2SGYRjGEgWbH3Iu2GnYsgO4iq6T2lFZMZKIdZXFxlSoUxaiyvJlXvVgvukAAnx4AAAgAElEQVQCU2D0jzcabZctSDUV7cFzi4r26OkTI+rpRdnFbdqKllsV7QVbVMQwDMNYomDzQ64Eu6kdRk58RD2t6LrSCqPyS4tEdfR9nFhPKuyD5aXjJVhg4sqJFosG/9BEKzKoQlxmkZGJdtG448o2CH21NWaUtKPs+otPm2aLKVgEhWEYhrFEweaHXAn2MLbFu1nf9Oh6jF+9nkmJsgt85dEy0fbixHpSu4ysjuy9DeK86qKywmi7X0ZgY1EJfFnkXFZWhMIaIxLRplF2F5jaYiwPgvaFzJ5phmGYsUXB5occC/ZRki42pUTXdWwvur8EkHaFEYllallTsa67CFUl2GVjpxJdZCotF7PINFiOKsZ1y0XPmVhW1wajE2WnRNYplpqmLjAVUbAICsMwDGOJgs0PuRHs1Kh5s6PrYuFuuNA0iW/dtljXicAHy0fHK0LkYW9A4A+Pw2YE3bRc9DxFZckLUBvz4kV+M6Ps+uW0KdgXMsMwDGOJgs0PTvdhd0e64t1kUSm1XD2N0kZaItyrBo7K8CHbsz14+G0Gy/tHtKx/1IbU70N50TYr4ZuchrFUR88vWF5VLvi5yD4303IqFDYp1Y2fuJxZPpVs7cOucTAMwzBjB0fzQ09PD84991xMmDABU6ZMwWWXXYb9+/fH1tu6dStmz56N9vZ2zJ49Gw8//LBWvzkV7KOYiWW7FhjdfK3dYCgRbhEmYl0kvlVloqI+KNSlZS0eDUK8Ii8bOg+FyNcV4zJ02xM1YXoNaebr2sbo/aYg7Cs1+sEwDMOMHRzND0888QRWrVqFZ555Br29vahUKli8eDGOHj0qrbN7924sX74cK1aswAsvvIAVK1bgc5/7HJ599llyv7mwxGQnomcikgiR0yTnJxPiwrwYIR5XhtpWtP/o63qa5LwFFpEGdLZqpFpa/HZ1vOqURahURtpS21waLS7xdpOUFoDG4MQWU7CfPBmGYRhLOJoftm/fHnq/adMmTJkyBXv37sXChQuFdTZs2ICPf/zjWLt2LQBg7dq1eOKJJ7BhwwY8+OCDpH5zH2EP4mK/dbpPXZyvk2dkXVGVo7alKhMXVSdH1CvhozrYaHEJHtXBxjraEXdFueB5Bs+fGhmnlGlClD3ptUvFVjuJKdijpxmGYRhLaM4PAwMDoWNwcJDUzZEjRwAAkyZNkpbZvXs3Fi9eHEq75JJL8PTTT5NPJ4eCXV8c6NphTGhKdD3UICHSTRXrQREeytMV6gKrjI5lRuZZjxPvIuEePY9gmYZzjBHawdc6PnUKCi/7KHo3iaRuLdpiwjgW8+xhZxiGYURozg/d3d3o7OysHz09PbFdeJ6HNWvW4MILL8ScOXOk5fr7+9HV1RVK6+rqQn9/P/l0mv87eQLSjezRRFLTouuqtlTtiPqKtmESnZf1JRuziKi9pBp4H3erGbW2RPNUtpZg35QnnYrGrGPFIT4JlbrtI/XhS65IdXtHD7ToOQfYGYZhxhaa80NfXx86Ojrqye3t7bFVV69ejRdffBFPPfVUbNlSqRTu1vMa0lTkWrAHcbEDhq4gD0MQ7qZjNrHCBPPjxLgsn2LJifOya0c6q2JxHhXvIj96sL9gGWC0XA3xTzwNbtEoEtY6D1WioPCyj0IT4HGC3pa41tne0SalWgmlWvwXXqnmgVU7wzDM2EF3fujo6AgJ9jhuuOEGPPLII9i1axemT5+uLDt16tSGaPrhw4cbou4qcmiJiYciCtzbYTTa1o2uizCJnNfTNMW6zPois7r4PzlVBL4x0WrthjLeaBsyC4zKKlM/t4rg3KpiW4vqcxL9skDZZz6Bl73eVNJrjdi27t9Q06iV6AfDMAwzdnA0P3ieh9WrV+PHP/4xHn/8ccyaNSu2zvz589Hb2xtK27FjBxYsWEDuN2cRdnv+9aT9mtphjEVOnKgXlQ3my6LvJmJdVDea70e2gz9HyV5H8fPKgj+iWiC9LImk+wh3f0F8pD2Y7kfIVdaYIAaWFxUqO0y0TFyauS1mtJ5ZRD7cr02hT4+gWOuSYRiGyQGu5odVq1bhgQcewLZt2zBhwoR65LyzsxPjx48HAFx55ZU45ZRT6j74G2+8EQsXLsTXv/51LFu2DNu2bcPPf/5zkpXGJ7cRdtfRPVd2mNHGYqKsIqEtayPWhiIR3NH8hjKqyLpk4Wl9EYcgki56rTpi66Ax6h5acKoRaRd9DtEyovzga8oCVGqUnXSt0a7HZNeyGWlF3/0vZMrBMAzDjB1czQ8bN27EkSNHsGjRIpx88sn1Y8uWLfUyBw4cwKFDh+rvFyxYgIceegibNm3C2Wefjc2bN2PLli0477zzyP3mLMIuppnb0zmNqjc0qLBOqCwcDekx0XNZXlw9X6gDo6IagTS/TBBRpD0YWa95o7eVNW84z/9/nVI42i6Lpovygp+HqF50Eap//iYLUC2hG23XaS+Jpz3VxaYjcISdYRiGEeFqfvC8+PVQO3fubEi7/PLLcfnll+t1FqAQgj2Ife9tcjtMQxlq/zre9VBHMVHj6BhEVpc4sR7ygPt9eWKhHmePaTiniCUmaINBpI16usQmEyfa/fdB0e6fp8j6Ql2AKsIvryoTKh9efJq2LYYiwJsh0oOUamWNRUUMwzDMWKFo80PhBHuQ1B+TrtuPiR1CVEY3ui7yrQfzKGI9GlUXRtYhibLHCPe6UPcaX9fFe6RevWzJXLT75yzys/t51Ci7aKvIKFb87mlt15jUx+4I6oIhjrAzDMOMLQo2P2Rk1qWQ3o4U1Ai8yx07RhtSRNl1o+vUvGAaVayHBDsI1hhihD36uiHqLmqnNCzEg+OUifbg+QbTopF0VR4lym7ZHmPDFpOu8HZzY8GWGIZhGEZE0eaHXC46TWvPdWqfWj72JItNdaLrSbzpcenSLRr9oza6UDT4OlRG46gp2gyWEW0FGVyMGl1sqkr3/w1k1iHqv0M0zUdz8SllPUSSG0ib25ymikdcUOS5W3T6yiuv4JprrsGsWbMwfvx4nH766bj11lsxNDTkrE+GYRgmhgzMDzbJUYRdjK64cOFfd45JdD36XpUHiCPoonRR9DwYVZdF3IPlEXgvIxpdr0fYA3WjC0+D0fZ6/YBFJhhpD34G0XQ/LxqBF9lmRGUBdZQ9RdLwscvKpxHBz0IE5Xe/+x1qtRruu+8+vPvd78avf/1rXHfddTh69CjWr1/vrmOGYRhGShbmB5vkXrAHkUcJM+hfpyDcDYa477osT2SFkbWZRKwrrTGBfmQe9rpYx6g4r3vYIfltSEO0A+I91BHJE+0oExLyxH3ZQ2m2hXtzfezN9LRnYVHRkiVLsGTJkvr70047Dfv378fGjRtZsDMMwzSJLMwPNimUYLeBC/86OSpPscPI0qL+9LjoejSt4SmlFfE4AD2xHnwfrBtsK0owch6Krkd3hZH416OivWH81UbBH4yYA6OfjyzKXm9HtCBVJNwVUXiRqCeQPx+7AzQXFQ0MDISS29vb0d7ebn1YR44cwaRJk6y3yzAMwxAp2KLTXHrYbePavz6aEONXFjYSY4cxja77+XE3E9HoepxYD/rYox7zBv95TeJbF5SLazv2JiJwLsrzrUhuZjS97H490eep+qyF/0/fx54XdB+M0d3djc7OzvrhP4XOJn/4wx9wzz33YOXKldbbZhiGYWgU7cF6OQmtZUNIpCpoqHYY3XZ0ous6Yr1SE0fVRfWAsFUmih8V928n/ci6LLpeGSnTGrz/FEXgJdaY+ucA/Sg7hVRsMYruMxNFt2/d0fUo9vX1oaOjo56uiq6vW7cOt912m7Ld5557DvPmzau/P3jwIJYsWYLPfvazuPbaa2PHxTAMw7iBPewFIV5864pjS2Lehh2moazCo04eF0GIN+zSIslH5LWIoEAvj2zTGBTu5VLk6i0J2iPYY0RE918PpkeFry1bTGJ0xbC6fHZEvhrdL+SOjo6QYFexevVqXHHFFcoyp556av31wYMHcfHFF2P+/Pm4//77SX0wDMMwbmDB3mSyvv2c8Zh0n36qqq+Koovao0TXQ3UENhiZUJdZVoCwePcJRde9EaEeEOlljF61FTS+j17RQZGuWoBaLwPx7i6ydNGDlELtEQW5Ax97s0hzQerwF3K8s69U0/9Gnjx5MiZPnkwq++qrr+Liiy/G3LlzsWnTJpTL7DZkGIZpJi7nh2aQrZk+ARSh7GL/dnIZW/71pPkUH3cQldhWHUGLjO9Bl239KCIq0v3oemu50QIT2nUm0kYNaLDGkCPtAkuMKj2Yr7K7qPL9vIb/hwU9RQjbEstp9qUNeVGRO4/iwYMHsWjRIsyYMQPr16/Hn/70p3re1KlTnfXLMAzDKMjA/GCTwgj2IKZbOrqI2Nt74qlkYaOJHcZPp0TXg8RaYRAW63WhLrfIiO5+vXJNboGp1ALCvTb8/1rA+hJ67Qv1UjiSXgMhyg5xxNvUFmMYQW/o3oEw1mtTvLVjsyh5xJ88HT4YY8eOHXjppZfw0ksvYfr06aE8z1PclDIMwzDOyML8YBP+3TaGJLtumHeq2JJRp66PzA4ThygaHnqNsACv7+gC+c4uQzWUhkooDZVRHmpFeahFcLSiNFRGaagEDNUg3XEm2qdqC0lqZF+GV5XcECX49zH5N6F00YxrtkmUK2Xy4Yqrr74anucJD4ZhGKY5ZGF+sEkhI+w6ZErAyPzpcZD3eSe2r4quA/FR9pBYH31dqpSA2vAfR91bNnL3W6qV4JVH2i978Mo1eGUPtdbhxaReqzc8iHIJQHk02t5aDojwwMJTf/yhhydFzqdM3KmFuqOLaRTd2sLT5GQhaq7D8IMxKB7FFAbDMAzDZIaizQ/5mZkzTULRb7LgNM77LssXWV+iaaE+FdF1Py2YF7TABKLfpUoJpZE72VKlJbIH6ugflC/UvXIZXtlDqVZFrbUGoAYP3rBNBkBdtAdvGOoPWAo8EdUfX+jpqYGfv+oLSqOfdSDNxKsezHO88HSUtJ54miEK5lFkGIZhLFGw+WGMze4Zw6YlQse/TmovYh0RinaJhz0SfS9VSsNWl0qLVLTXh1z2Ro/WKmq1Ekq1Gmq1KmqoDkfaG/orNUbZowLdTwueC3XxaRTRto82o+Qp7tGed+jbduXjC5lhGIaxQ9HmhzEp2E32YLe6Cw1FqKueYKrTjonNRmSHAcTedUAo0n3PeVSstwy1hkS7b4+pn1LZQ621FhLrVVTqwe4aqsORdtSGBXJUvJcj4r0cTEejLUZXF1OEuUxwByPoFFFOFO7mu7jkfy/2on0hMwzDMHYo2vyQ7dm4KES3dEzUlsE2kNStHKPloqI8+n/hDjGjvvVRG8zoYtJyZXixaUvgfd3LPuJdr7XWUGuroNpWRa2tAtRKw/8HRnzuw7YZVEYUeDkmyh79PzAaXa+fL0E8AxIhTrTGmFKoiLvdNSNF+0JmGIZh7FC0+YEFuyZp7vduHamgrzRG4kV2GFme8ABQK41E0kdEe6WMlmPHoWVkd5iWY8ehXCnDq7ai6pXRUqqh1FJBrbWG6oi3vVorAePeAcot8MoeyuUyqmVVnxHrS/TBSdK86shWjpqCvIlken/0lCjaoiKGYRjGDkWbH4o7k2cAI+GeNAof+zAlwYLTKLJtD1UiPpjmR9dHRHepNhJpH4motxxrRcux41AdascR70QMecdhyGtDW2kIbbV3MKHyNlprJVRr7wwvQh1qHV6A2uq3VwMqgV1lZGORiXNRmfrnE/yFAfL92IPlk4h5g/pFF+FaFGxREcMwDGOJgs0PqWw+ee+992LWrFkYN24c5s6diyeffDKNbscGrqP5Iv86AmnByHY9bfhlXaiPRNd9O0x5qBXVoXa8XpuIw9WT0Fc5uX4crp6E12sTUR1qr5cd3St12Adf//lK1G/DYlnF+F3g8t8jq7/cNBH/wRixR04ejDHW4LmBYRhXFG1+cC7Yt2zZgptuugm33HILnn/+eVx00UVYunQpDhw44LprxhXSCHwgL+gdG4m0120xQ614yzsRr1cn4mC1C3+ozMRv33k3/lCZiYPVLrxenYi3vBOHrTO+UI/s2V6/Iw4+KIk6TqYwkL6MiT5GJl14bmAYxiVFmx+cC/ZvfOMbuOaaa3DttdfirLPOwoYNG9Dd3Y2NGze67ppJio7gjdhlQnYYX2DXSihVWvBOrRVv107Am7UO/L/Kydg/dBr2HTsL+4dOw/+rnIw3ax14u3YC3qm1olRpGa0b2Le9VCs19OnkvJhMU7Qv5LEEzw0Mw7ikaPODU8E+NDSEvXv3YvHixaH0xYsX4+mnn24oPzg4iIGBgdDBCHD0SHstNK0l/h9EqVbCkNeGQe84/MUbhzdqHXhpaAb+89hevDQ0A2/UOvAXbxwGR3ztwXoux+eELPw7FZzRG7i4Ix9fyGMF3bkB4PlhrFIqtWLcuOnNHgaTQ4o2PzgV7K+99hqq1Sq6urpC6V1dXejv728o39PTg87OzvrR3d3tcnhMk2gpVdFSqg0fqKG9NIS/apmN9tIQWlAbzSux4GXU1Lwy+WCyg+7cAPD8MJYZHBRfEwyjomjzQyqjLJXCdy+e5zWkAcDatWtx5MiR+tHX15fG8PJHFrYYjF45kd1W6ju4RN57ZQ8tqKIdQzi+9H+Y3PJnvKftFSwaV8V72l7B5JY/4/jS/6EdQ2hBNVRP1X7Dbi9Z+PvLwr9Twal6ZfLBZA/q3ADw/DBW8bxKdrdKZjKNq/lh165d+NSnPoVp06ahVCrhJz/5ibL8zp07USqVGo7f/e53Wv063Rtu8uTJaGlpaYiYHD58uCGyAgDt7e1ob293OSRGh3JJ7PeWpo/kjYhnr1yDVy4Pi+uyB6+1Cq+1itbWIUzwjuIk7w1UW1pwfOkY/uKNw/GlYzip/AZOKr+BCeWjaG0dQmWkzvBDlfyjNjqOckkuzkVbOarSmdxRRQuqhMfV8m812UJ3bgB4fmAYRg9X88PRo0fxgQ98AF/4whfwmc98hlxv//796OjoqL//q7/6K61+nQr2trY2zJ07F729vfj0pz9dT+/t7cWyZctcds3YRibShWUREtgoe6i1VlFqLQ8/FKmtihOrR1FBC1pKNUyoHcWgdxzaS+/gxPJRvKs8gBPLR4efdNo68uTTiGhH2dOLorNILyRVrwVVj/CFzOuMMwXPDQzDuMbV/LB06VIsXbpUezxTpkzBu971Lu16Ps6fvrJmzRqsWLEC8+bNw/z583H//ffjwIEDWLlypeuuxwal1vD+3KUWu4sdywgv4Ay+r0e4vcDrcHTdF+uolVBuraHWVqmvyn7X4ADaMYR3lQfqTzptxxDGl4/Bax9Cra2CWlsFnlC01wCUwv1GIvz18UbPxyZR24vLBxrxw5Ia4Ah7fuG5gWEYl+jOD9GF7LZ/1TvnnHNw7NgxzJ49G1/96ldx8cUXa9V3rgCWL1+O119/HbfffjsOHTqEOXPm4NFHH8XMmTNdd910SqVWfe+dbcHd0H5rowgHEJI0FCuMqsyIePYCYr1Uq6LWWgbafEHvoaW1hvFD7+CEyugfVK21ilpbFdURsT4cZR+2xfii3RPcIAjHIXotKwMMfzalltGj3OJeJBv43Pkpp6NU0IIK4QuZHbDZYyzPDQzDuEd3foguZL/11luxbt26xOM4+eSTcf/992Pu3LkYHBzED3/4Q3zsYx/Dzp07sXDhQnI7qcz8119/Pa6//vo0unIORYQbCXXX+MJQdjNQbhkW8X6+Spz774MR7fprr/5/r7UKr1YaFtu1EkptftsjUfLWGkptw08x9am11kYi6sPCffT/teH2RtoVRtWjnvaGhagSEe+Lc9Vnl8EFpBThXnRxX/NKpAVDNS8L+3wyUYo0NzAMky1054e+vr6Qx9xWdP3MM8/EmWeeWX8/f/589PX1Yf369dkT7PmjFdGYXCIR7ttWbETPg21E25O1r9NvqQX1aLsvamve6OtyCYAXEO0CW0yr/wdSg1erjQTzhz87r1xDrVJDubWK8shDkXyLTNTz7ov02oiVxhfzaB3po7Ust8OIxDwiZernS0RWtsEW0yLPM8FCG2Lh3ow/f7t90n/yZBM7wzDMWEJ3fujo6AgJdpecf/75+NGPfqRVZ0wKdlcRcHK7voBWCemQMI/41HUotwA1zZuEON96UKjDE4jm0TSv1QMwKtq9cgvKZQ8ot6DWWmt4yphKtHutteH24qLrUYEePI/oeeqiisTHERTNKhHu5xGFuqsoeh6i8/RFRSzYGYZhxhJZnh+ef/55nHzyyVp1sj8jMzREwjxO6DcIwoiPHQjbYvz3QdEujbIDvtL3MCraSwGxXq6InzA27H2v1UW7b5/xWr1AdJ0g0mVRdZH3PepfV+GXDZJEyDPGcISdYRiGEeFqfnj77bfx0ksv1d+//PLL2LdvHyZNmoQZM2Zg7dq1ePXVV/GDH/wAALBhwwaceuqpeN/73oehoSH86Ec/wtatW7F161atfse8YLcTbW+00OgNghhBD4ryuOg8ILfHACNaOpIf9bEDYuHu+9f9XVr8KHurH4ovA5XacJnWUdHulSsoVVrglb1hC0zr8GODERTtIzvAeIEtHOuedV+sB603oTSofexCoS7xr/sLTimR8Lg8qphPHNFO/uech6h6EPqiIhbsDMMwYwlX88OePXtCO7ysWbMGAHDVVVdh8+bNOHToEA4cOFDPHxoawt///d/j1Vdfxfjx4/G+970PP/vZz/CJT3xCq998zc5FRxglJ/jPKYI/btFptGy5CiC48BTD74GA6A162zGaFxDqw16Y4e0dUakNi/GaVxfqpdqwWcb3sAMYfdBSuRYW575oL0eEu8oWI3q4kv+e6g2nLjqliF1ROxydN6ZGfEpdXh49zTAMw9jB1fywaNEieAobzebNm0Pvb775Ztx8881afYhgwR6DKgLvbDeYOJGuu/BU5WNvsHYAqAoi7IDcHgMMC3I/4u7/4NA6EmlvxWgUveYBNcCreQC8kf8DpVo5/ART//8hwQ6xeJcuOhVE1xt2jglE0uOEuUhYJ1lw6mjnGVWUPG8R9DiGvOMw5B1HKNdovWIYhmGKS9Hmh8LM3kHxHBbSo3aVOIHtQoAn211Gc+Ep1ceussWE8hVRdmDUDhO1xgBh0V7zRsR9eTji7r+vefX2vVA7iI+Yy8S6TnRdJphVdhiR4KVEyKkLTuOacSC449oM57cK05t1I0D3KPK2jgzDMGOJos0P/DuxAUb7X/vvozuAJImyhqK5gjGJor8m/YnEcygd4qh3a8B3Xj8CaW0to//3j2C6qn5UuAcj8HFbO+og+syEaXYEufT6iPz78h7sw/geRcqRBoODg/jgBz+IUqmEffv2pdInwzAM00jW5oek5G5Gl0fSbWO2kNR4TH4kPG4bRso2jSK/uiz6LnrqaWgbx5Eou0/UFlMnEl2vlUaj6JURL3owrf4gpkAEP9quKEou23tdFFmXtRN9kinl6aYUO4yIuOh7WSzIqZiLcnd/+mlG3qtEjyKljA1uvvlmTJs2DS+88EIq/TEMwzBisjY/JCV3gt0WJsJaXSfhTjENnSl86qr8qDCvi/eKIM3gIU5BG0yU0EcQKOPbYvwbgaCf3Sfoh6/3A0lEPyLQW0uNYj36a4Ausii6ajvHOP+67QcqhbDrW89LdL5G/MnTfxLAwMBAKL29vd3a0+wee+wx7NixA1u3bsVjjz1mpU2GYRjGDN35Ievk47bC8X1FEnGSqrCJs7002HAE4lK2S0kwylxqDafFPaAo6i0X2V/qlplgeuBok6SH6olsMjFiXTe6Lvp8o+m6dpgUr5FsX8v22/cfjEE5AKC7uxudnZ31o6enx8o4/vjHP+K6667DD3/4Qxx//PFW2mQYhmHM0Z0fsk4+wmhNxtTm0lDPt71En3RKfeKpD9UWE9o9plUcZQca071qo10mao0ZrihIE6QHI+vRBy6pEHnR6+8VNw1UsR79HICwiI+mh94b2mF0nnAa8a+XIv/XJS9Rcx2qKBMXFQ3/LfT19YUePW0juu55Hq6++mqsXLkS8+bNwyuvvJK4TYZhGCYZuvND1ineDD6CbKcYvXpm5aJ5ZMGv8rEntcWE8tAo5n1RLbuBCO7NHkIh2oO+dSB8AyB4wmkD0YcfRf3sumI9SlAYi7zr0ei6LTtMtL4DAU4V53oivvm7wkShPxhjuExHR0dIsKtYt24dbrvtNmWZ5557Dk8//TQGBgawdu1aUrsMwzCMe3Tnh6yTjVnXEm4XoVJw6GOvp0m2aZRt/xiXBzTu4x4kKOT993Gi3Y+gj+y1HhLu9eh6oLps0WnwvUyoh95DLNaD5xa377ruDjAmdpgU/etp0Ezx7nJR0erVq3HFFVcoy5x66qm444478MwzzzRE6+fNm4fPf/7z+P73v6/dN8MwDJMMXnSaMXRFut4uM40C3NpNgS1bjDLKDnoegIZ92UPpI2leVS7aoxF1YFSg1/MxKrSlO85E0qJCPfhaGXEPnEdUrIf6EqSroutxeX6bUUzsMAkRi2n6vuu6Yjztvdnp++zqf56TJ0/G5MmTY8vdfffduOOOO+rvDx48iEsuuQRbtmzBeeedp90vwzAMkxyX80MzyKVgb8YDjkyfeOrn1cvEPQCJYovRibIHo+jRHWOiEfaobz1YJ7r9Y9QeExTm/gOQ6g9MCoj40M4w8o9BvGNMRKz745JF20WWl2CayAoTjbCL6gTzgvWiyHzyAN0Oo+FfT2KRyYrFRZcaaAuGag6/kGfMmBF6f+KJJwIATj/9dEyfPt1ZvwzDMIycLMwPNsnRLG3ZbqLAhY/dfDCKCDwpyi5IrwvzSIRdtNhUJNr9NKGn3S8XEe7RhaY6i06Dr1XbPdZfA9piPSrGRUI+mCdKp0TXnUbO4/NMytnBTV9Fi6AwDMMwdija/JAjwa6P6cLTMLr1CG61+asAACAASURBVOXjdotxEWWPs8ao/Ow6kfYgvnAPWmGiNphgxL1eT+Zjj76XRNyD4lsm1oME0yh2F8BudD1mdxg1un/CyR+0lKVofAVl4qKi9DyKp556KjxPcF0zDMMwqZHF+SEJ2Zl5LUGJbCd9Wqqojm6/eh06irLLBD0wGoGXivbge39Mqoh5QKiHBH9clF1QVijY/SEQxbrMt15/nZ3ouqkdJukDkyj1my3ei7aoiGEYhrFD0eaHQgh2W/YTEx+7ln+dNAhFBJ1SJk6UC+0vggi7LC8o2oHGaHtUkNfzots7EiKQIktM8HVUqPv/D0awVWIdUOdFI+/18gmi6zplZFUtC3dborsZ4r1oP3kyDMMwdija/JBbwe56C8dk7SewxUQRRdApZYKiPii8VVH4oHhUCfpQxBmNAj0o3KM2GNHOMKptHaNpUXtMVFCLHooUJ8hF0XFZ9FwktFXRdWqZVOwwge4ci2sbHnsK1KfU5eVJdgzDMIwdijY/5Eyw6/vQXfnYqdH2aJQ98Y0Gxe8uugmIivLorjHR+vUyreJoOiWfZJWB5uJTv0mBUAfk0XFVfrS+TOj7iKLucb50Q6J2GGoE3WQ7RzlJ/evuvmZqxAhKXnYBYBiGYexQtPkhZ4KdRhIfuy1Pu5PFp3HReECcFyfqgUA+xNaZYL4MmXBvQeDGQWKZiWvTH3P0tUoom4h5ihiP9iODclMh/L9ZdN2mZz0P/nWgeE+yYxiGYexQtPmh+TOuJdLamz3Jfu06ZWgDVAh7QCz+Q/WCFplWuWj3EfUhQibcfYICPu78ZO+p4lclxkWRd1Ebon5kfYjGbYgN0WxrMWrScbjqu2iLihiGYRg7FG1+yLVgd+1jD0OzxYgg2WFMo+yUBagya0xcJD3aj0+cII+WE5WNLnIV5TW0pxDQJtHsuMh7Q5+KqLqN8Uig7BIjKh8mvT/1NCPvVZSJi4ry8YXMMAzD2KFo80MOBTvNhy63uYzWN7XF0CPv8rGSn3yqi8o+oxL/gNr+EncTEUeL7DwDNh1//CKiIlAleG3YZERlRP2pFpqaQBLnSXzs4ny5HcbcMhOt74KaV0aNEB2hlGEYhmGKQ9Hmh1wIdp3IYhq2mLh84yeg2oqyx+0aoxLtPtr2F6JwF9FC+PeV2WNc2GRUbVHKOIiuU/PS2sLRpE0XfddQRo0QHaGUYRiGYYpD0eaHXAh2Fc22xcSPZbiOUtjrRNltWGMoi1kpNwmhcY38P4lwV2HiZw++Nomaq3Z80RXrFEg7wZh40otphwGGv2gpP2fm5QuZYRiGsUPR5ofcC3YVtmwxthefJoqyUzGNxovEtnJbR4lwF5VPQkM/QVFuINQdRMPV43cfXY/Lp1hg8mSHAYB3vFa0ePH9vEMowzAMwxSHos0P+RhlAwRveIpQ/e/aUXbb1hib5YLECX2fJAI+GqkWRciDr5NaZdIoJzifJNH1Zmyz2OytHYvmUWQYhmHsULT5ITeC3ThiTSint/g0Pjrf2G5jHWHbvjAOWlMaButQjAPyLR19kkTQpQtPYxCJQpFID76m7Cjjv7a9+4yonIiSvEySByXJouRxZWXi24ZH3ZWwL5pHkWEYhrFD0eaH3Ah2U+RinrbbTHw71LKN/anFu0RgB7Ep2oHG3WEoZQG6cA/W10XlYRdF0wFxFN7E024q1kXjVUTZ1ds3mnjXzcrK+jNrxy1VokcxL9t2MQzDMHYo2vyQj1EKST+aJ+rb1oNr6mmGEVmpIPTLlmX5LbSywcMvGyxfFrXX4u6I9hUaQ2Bssnqh82xtbM9UrAcReeslZUwi6cLmYqLrNtHdetIFNa9U/9lTfZRSGQ/DMAyTDVzND7t27cKnPvUpTJs2DaVSCT/5yU9i6zzxxBOYO3cuxo0bh9NOOw3f+c53tM8nV4Ld/k/ueovwTPe1FvWnLBdn4QiWIUVzY4R4XNk4ka8S7rYEvKzNOKEuGzdlr3aqWA+is2MNWZAn864nWWxKRedv0+YNtf+TJ+VgGIZhxg6u5oejR4/iAx/4AL71rW+Ryr/88sv4xCc+gYsuugjPP/88vvKVr+Dv/u7vsHXrVq1+s/X7tiN0HopEx8TLrp/WYEkJ5UksL8L6koWjJF97zELTqNWlYbGpxa0eVYtPAbVAjtanRMspYl0m7EXjUlhhkqa5iK43e1FrHDXio6fzsqiIYRiGsYOr+WHp0qVYunQpufx3vvMdzJgxAxs2bAAAnHXWWdizZw/Wr1+Pz3zmM+R2sjcDayH3oZsIc9MtHinticYs8rBr7RoTRLmnukS0i9oMlgXEwl21KDUq3oP1ZVCedBr6HAgiPfpe19serKOytojal7Udymu0wog97Pa866a/HMW120h6drWiLSpiGIZh7KA7PwwMDITS29vb0d7enngcu3fvxuLFi0Npl1xyCb73ve/hnXfewXHHHUdqJ3ezmKktxk0kki6AjESYrq1C5lMXlY/aV/z/N9hQBJYXlZdcVj96BPHbFUXPZXWpYzD1tps8jElUXvVvEDzVGCtMetF1fVHfjN1hfPxFRZSDYRiGGTvozg/d3d3o7OysHz09PVbG0d/fj66urlBaV1cXKpUKXnvtNXI7OY+wA/mMsqvzldYYUVowGq8TaReVD5WLWF6CdQCxtcZHFoUPPkmViiyaL4umB8dYz1MI7+Br0wcyycrLxgrKjZ2gmRxH111QtH12GYZhGDvozg99fX3o6Oiop9uIrvuUSuGFrZ7nCdNVOJvFXnnlFVxzzTWYNWsWxo8fj9NPPx233norhoaGtNtysX1dlqLsIiuEcNcYatSWGmkPRs79PEodWZReFuWOtqV7yOqK+hVF1OOEt8iDbkOsCz9LfSuM8vpQ1NNHX8g3a7GpD0fY84fNuYFhGEaG7vzQ0dEROmwJ9qlTp6K/vz+UdvjwYbS2tuKkk04it+MsHPa73/0OtVoN9913H9797nfj17/+Na677jocPXoU69evT9S26cJRaj39KHujL53Snmpv9tBrlZ89+Dou0g4Iou6t8T716Gu/HtDoUdd5EqoJonZMFqIGX1P97XF1ZP1EyunsJmS6jaPN6HoWF5v6cIQ9f7icGxiGYXyyMj/Mnz8f//Ef/xFK27FjB+bNm0f2rwMOBfuSJUuwZMmS+vvTTjsN+/fvx8aNG42+lNVi28wWEyeek6Jjo4kt6wtrkVAPvrZhd5FZXYS2l8AlJBLvfp+20RHp0fcy64xt20zwtZYHvRH3u7Uk96s349kIvOg0f9ieGxiGYUS4mh/efvttvPTSS/X3L7/8Mvbt24dJkyZhxowZWLt2LV599VX84Ac/AACsXLkS3/rWt7BmzRpcd9112L17N773ve/hwQcf1Oo31dDZkSNHMGnSJGn+4OAgBgcH6++jK3aD0IU4PU9WLkmUPd6jTo/OWxft0TqAfDtHYZRdEnWPthMluCtMHKpdY0QiMIlQV5W3JNZNrFKyss2OrjdzsalPDSWS3aUGfnBSlombGwC9+YFhGMbV/LBnzx5cfPHF9fdr1qwBAFx11VXYvHkzDh06hAMHDtTzZ82ahUcffRRf+tKX8O1vfxvTpk3D3XffrbWlI5CiYP/DH/6Ae+65B//yL/8iLdPT04PbbrvNsIdsRtllfcWJdmnZpKIdoFlkgvX8dqN1Ze/9doIEP3/K1o0iZCJQJdJF700sMLJ6hmKd6ltvLOMCt9F1l2TlJ08A+NnPfobbb78dL774Ik444QQsXLgQP/7xj533m3cocwOQdH5gGGas4Wp+WLRoUX3RqIjNmzc3pH3kIx/BL3/5S61+omjPYuvWrUOpVFIee/bsCdU5ePAglixZgs9+9rO49tprpW2vXbsWR44cqR99fX2hfFuLT02ii7oL/mxEOWPL6tgwynFlW8L1/LrR7RZVC0Gj76OLLZMeoj5li09FY9V5Kmr0tYlYD2Dj3z0v0fUkZXXJypNOt27dihUrVuALX/gCXnjhBfziF7/A3/zN3zjtM2u4nBuA+PmBYRgmSFbmB1toz6SrV6/GFVdcoSxz6qmn1l8fPHgQF198MebPn4/7779fWU93k/rGyHl6UfYk1hjxa416QfuKNFJuaHWJetujdaP1fUQLS20uNo0iXNQpSFN53SmCW8c6I9gNBtAT3S7Euhr70fX4GxJ710SV+CQ7ShlTKpUKbrzxRtx555245ppr6ulnnnmmsz6ziMu5AbD3EBOGYcYGWZgfbKIt2CdPnozJkyeTyr766qu4+OKLMXfuXGzatAnlcvIPRWeHGHMve7x4ViOub1ov1h4DBAS6gdVF5EkXCXeAtrA02l6U6H7yKuLEnc1dY6LvTa0zCUR3HCb1TPp1FV23HW3PwpPsfvnLX+LVV19FuVzGOeecg/7+fnzwgx/E+vXr8b73vS9R23mi2XMDwzBMkKJtSuBslAcPHsSiRYvQ3d2N9evX409/+hP6+/sb9qJMSqMAsC9CbNkMXNgbpFFfUZrM6iKykgRfy9oItiOyzYhsKrJ82RFXTzkOiZUm7jxl1plgHQdi3fW15WYBqVtBHkcWnmT3v//7vwCGLSFf/epX8dOf/hQTJ07ERz7yEfz5z39O3H7RSGtuYBhmbFO053Q4m1137NiBl156CS+99BKmT58eylOZ9UUk+QndRpSd2r4da4x+XVKk3X8dLR+3sJS6I4zfVpDgbjC2rTGyhasiwaiKousuSFW+TtN7bs8KEyUv0XXA7ZPs1q1bF7vI8bnnnkOtVgMA3HLLLfVV/5s2bcL06dPx7//+7/jbv/3b2PGNJWzODQzDMDKytCmBDZwJ9quvvhpXX321k7ajQtuNl12el9Qak5poV76WeNtFdQCxzUUl3gH32zr6UES6KI1if4mWy5hYV1H06Dqg/5On/wQ7ClRP9ltvvQUAmD17dj29vb0dp512WmhrL2YYl3MDwzCMT9EsMenPsIboecHpddXinyb8TcR8U0U7II+2A42LSqVbN8aI93pe5PMw3dZR1n49T1Oki8aishhlzAZjXl9ezlZ03WZdFTXioiKTCArVkz137ly0t7dj//79uPDCCwEA77zzDl555RXMnDlTu1+GYRgmOS7nh2aQG8EexWaU3WQBqqpNiuhOWt9ItAPx0XZAHHGP1vWRLTANLix1FXmV2Wwowt3WwtQUrCyu6qvLJYuupxVtr6FEjKC4e3BSR0cHVq5ciVtvvRXd3d2YOXMm7rzzTgDAZz/7WWf9MgzDMHKyMD/YJFeC3WaU3bU1Rld0J62vFO0APdoO0IV7ME2VHkRnh5i4tihlkgj16HuJUAeSifWGITurLy8Xl5fF6DowvKioTPhCdr2o6M4770RraytWrFiB//u//8N5552Hxx9/HBMnTnTaL8MwDCMmK/ODLXIl2KPoRtlNRbqJNUbVBtVOYyLaATTu1Q7ER9tD74nCPVgnmh7Nk5UxRdVO0q0e494rBLGJ2E7qWzexwqjaiM9LFl23KeArXitKXnx7FUKZJBx33HFYv3491q9f77QfhmEYhkZW5gdb5GOUAZJE2XXaUol/2xF4G6IfgFm0XfleItwBsXgP1hXlibAh6mXlRV75JEI9Ul8llJOKbfsR9HS86nFt2Y62V70yygV6MAbDMAxjh6LND7kT7FFcRtlNhTnFj64qpxLjqhsHpUUGsCfcAbF4D9YNorLB2BLnonGF6tkT6oCZWDeLrMvboEf3IS2nWzYr3nUfb+Q/SjmGYRhm7FC0+SEXgp3yE3vaC1Dj2pHn6Yt2VRuq6HqD2A9G24GwTcZ/D+jtvQ6o918PtuMC1Y4zousmTpgLy5iKZHdivWHIlqwwOu3E1U1DzNdG/qOUYxiGYcYORZsfciHYoyS1xZhG0ocxiHA3vLcr2rXqxUXbRWmU7Rtt778exXQ/doAmykVpxlF1wLVYN7Xj2Iq8ZwUPNXiEL1tKGYZhGKY4FG1+yP6MPEKcyE4SZdfti1pWJ1pvLtoBqq89+N5IuAfTGtIVAt4nyf7rIlSCMsmWj4kix/SyVLHeMFytGwfaWOLJXnR9GNoXMnLyhcwwDMPYoljzQ24Eu22S3QCY+eJ1/PVx4lsV9VeVbairI9yp6cF2Rej8OqIj9HREuihd0JepBSaurK12VGPVeUBSHqPrgO9RpERQ8uFRZBiGYexQtPkhH7PyCLaj7Pr1g5hZUhoi3VbbAXSi7aH6MuEO0LZu1Nl3PakYjPPE6275SBCrtqLq0fe2RLZphJ7yPrvR9eL95MkwDMPYoWjzQ64EOwXbol3VtrGPvOG9rXbCbcXaYkRpQXEVJ96jeZR8F5gIeIIoF6XZFLNpifVkNhkXYtze107RFhUxDMMwdija/JA7wa4XBU+jP7k33qZoB+TCmxK1V5cXpwm3czQR6CZPN5WR5KmnQCaEelx7ySLWzbW66H5uSSlaBIVhGIaxQ9Hmh9wJdhFpW2PiotquvPH6bSG2PUBDuAON/vM0n24qIzbCLr7MKUJdnJYdsW7LmhM3Ljvt2adoX8gMwzCMHYo2P+REsDcKgbioumvRnqRvHaFt0hag9raH89Vp0XSleAeyEWEHtES6LN3EatJcgS3HtVinYf/rpmhfyAzDMIwdijY/5ESwN5KGNUbVZtpRe0DHEkMbn6hONC2Y3pAXFW2yzz8VHzvdpx2XJy6f9ei1uW/dBs2IrgPF+0JmGIZh7FC0+SFHgl3uFfexbY3Rbd+laDdtD5BH28VlFAI9Jk8qmm3eSBGFoIlgNRHqorSsifU48Wx7fGLcfNUUbVERwzAMY4eizQ85EuyArsAWlcmDyNZtDzCJtqOhXR8T8S7KHy3o/jLTF6Vx9WwI8+yJ9TSsMHFt2qRoERSGYRjGDkWbH3Im2OMxs8bkT7QDalEeH2332/VJYI0R5AexaVVK4tuOz6OLerOoc77EOoW0rC8yivaFzDAMw9ihaPNDDgV7fJRdXxA3kgXRDsTbWUyi7dE0Vfs+xtF1QVlXmEbZbQp1cVoebDWNuPhFgdo3laI9yY5hGIaxQ9Hmh3KzB2ADG+LDRnTRhqgyadO0XXkUWCyy5HXC+XFlk6LTlzpffa6UtLgylGugGbaVRtKxwti+JvwICuVgGIZhxg6u54d7770Xs2bNwrhx4zB37lw8+eST0rKbN29GqVRqOI4dO0buLxcRdrEQ0IuQ08roRcVpZVy1idh2gQTbN0rsMtE64rrqsq6g9UWPpsvSbUWWzSL4yaPeJr8AxLVJwcW1ULRFRQzDMIwdXM4PW7ZswU033YR7770XF1xwAe677z4sXboUv/3tbzFjxgxhnY6ODuzfvz+UNm7cOHKfOY6w2xAq+u26EllmFgazSLos4hwfiZZ/fmlF1836k49f57Ogf5ZmlpcsiHURJv2kFQvgCDvDMAwjwuX88I1vfAPXXHMNrr32Wpx11lnYsGEDuru7sXHjRmmdUqmEqVOnhg4dciPYbUX9TIVwXB0bUUxzywWtbVl71PRwf2oBH23H9qFGPUbd89YT6nZuxpol1k1ucl1F5GlQv4xZsDMMw4wt9OaHgYGB0DE4OChsdWhoCHv37sXixYtD6YsXL8bTTz8tHc3bb7+NmTNnYvr06bj00kvx/PPPa51NbgQ7kKbtoLFtV6I9TgiaikUd8UkpTxfwNDGfHHq/qnNQnZsLoW7+bxsuo3pPK9O8vx2bcISdYRiGEaE7P3R3d6Ozs7N+9PT0CNt97bXXUK1W0dXVFUrv6upCf3+/sM573/tebN68GY888ggefPBBjBs3DhdccAF+//vfk88nnd+tndIKkcc6uU+8sW077fofefLxUcbslwP091enbN2oXifQnMsrScRXN526sNJGVN20nWaKddcUbdsuhmEYxg6680NfXx86Ojrq6e3t7cp6pVIp3I7nNaT5nH/++Tj//PPr7y+44AJ86EMfwj333IO77747doxADgU7VaTS6um37fJmAIjfW11UJpomuimQl41P96HuvW5z3/U4qNHbuHJpCXVRGlX4piXWRdA+Z/PPxJQqKoj72x8txzAMw4wVdOeHjo6OkGCXMXnyZLS0tDRE0w8fPtwQdZdRLpdx7rnnakXYc2WJ8TEVGGZRzvi2my3K/DSKVUNeVm0PoeSLyskOCknbSXI+8no0+4ufHpeWrlhvJM2/E2o9Hfx9duOPfOyzyzAMw9jB1fzQ1taGuXPnore3N5Te29uLBQsW0Mbmedi3bx9OPvlkcr+5iLDTo3sUy0hj2/FWE3u2G0AUDdevpxctV0fcVe2I8qL5qnIybAs3G5F2dRt08Wkq3kX9uLwRsCnETXabsQFbYhiGYRgRLueHNWvWYMWKFZg3bx7mz5+P+++/HwcOHMDKlSsBAFdeeSVOOeWUug/+tttuw/nnn48zzjgDAwMDuPvuu7Fv3z58+9vfJveZC8EugmqNMRHW4jRzYU1rG6BYZChpsn5lwl3VTjBPli8qF8WGTcZU8JnaYYaxL8pNo+qitCzeCMjL2Scrgv1//ud/8A//8A/4xS9+gaGhIbz//e/HHXfcgYsvvthpvwzDMIwYl/PD8uXL8frrr+P222/HoUOHMGfOHDz66KOYOXMmAODAgQMol0dNLG+++Sa++MUvor+/H52dnTjnnHOwa9cufPjDHyb3mRvBThXapn52W6JdlJZk7DpjBWhinvpQJJuR9bQEnI1Ie9x+89S2iibWxdhsS58aaihl4MFJn/zkJ/Ge97wHjz/+OMaPH48NGzbg0ksvxR/+8AftvXYZhmGY5LieH66//npcf/31wrydO3eG3t9111246667jPrxyZWH3WaE1TwtXXGlqktNl/ux/f7kglNdt7EcpbwtdPuNLxf/WcSlxaWL+4wvlwWx7uoXjiTobttF3WdXh9deew0vvfQSvvzlL+Pss8/GGWecga997Wv4y1/+gt/85jeJ22cYhmH0Kdq2v7kS7CJsiiB6mrnIoom+RuFoQxyqBWsrqOKdIsBEYtr2oTsGMfLzVtVNehNlune7qu9GXIv15llhfFzts6vDSSedhLPOOgs/+MEPcPToUVQqFdx3333o6urC3LlzE7fPMAzD6FM0wZ4bS4xPqZSOvcSVPcbGOQA0z7qsbFyeyjITrR8kze0co+gJxfhIvG6eXkTa9Q1lYx/NEuvitBZBe2a43meXQqlUQm9vL5YtW4YJEyagXC6jq6sL27dvx7ve9a7E7TMMwzD6ZGWNky1yGWFPR1S49e8micTq1Y+PFNMj0PrWGJ2IuLu248/B9DPSicDb3hJS3Y+a5ol1uzEC3QiKv8+uf6gE+7p161AqlZTHnj174Hkerr/+ekyZMgVPPvkk/uu//gvLli3DpZdeikOHDlk9X4ZhGIYGR9ibgCgi14xIe5IouE4E3Ea0XZROzZPlj44jSPO2cpRD6yduPLYi7bIx6Qhaii2G2k9RxDrgdlHR6tWrccUVVyjLnHrqqXj88cfx05/+FG+88UY9en/vvfeit7cX3//+9/HlL39Zu2+GYRgmGVnZlMAWuRDsyWkUuyKSiXY09CGqCySxs8j7kbUrSg/mmeY3jilKGvYY/cs3iUhX5ScV6rL0pFF1U7EuJntfF55XJVmxPK+q3fbkyZMxefLk2HJ/+ctfACC0hZf/vlbLx0TAMAxTNFzOD80gezOwBNOo+Chh0S4rRxXtgGy7RHvbMsrHaSbcxWPWy5eVaSQblxZFjLqItCfdv12vrP2ot9iaZT5Gd7+uVOB5FE+8uxvI+fPnY+LEibjqqqvwz//8zxg/fjy++93v4uWXX8YnP/lJZ/0yDMMwKpo/P9gkFQ/74OAgPvjBD6JUKmHfvn3G7dgWB2lFOm2INKonWl1enRfMp5ahecjTQWdcOmX08vT+TfIh1sU0X6wP3zxSD1dMnjwZ27dvx9tvv42PfvSjmDdvHp566ils27YNH/jAB5z1WwRszQ0MwzBRsjA/2CQVpXXzzTdj2rRpeOGFFxK3lSzSrucDT9YPYPLkUpP0uIi7qi1ZPrWMrKwKnT8OW2LPdaRdJwKtm57EApM0TdZXFsQ64H8hx0dQXH8hz5s3D//5n//ptI8iYnNuYBiGCZKV+cEWziPsjz32GHbs2IH169c77SfvQkc3AqoT3VXXCeenEVkXtSM7bLVPKRtXRozZrxzU8nm6hqlt2hTxtVoVtVqFcOTDoziWSGtuYBhmbFK0+cFp+OuPf/wjrrvuOvzkJz/B8ccfH1t+cHAw9OTBgYEBYTlxVDtZpF2nviwNoPvaRWX12tWPuAfryNqklhGVDZLGHWsSQZ+8jL4YTR5VF/ebtF0XYl2G7Yj7cAQlPu6QlwjKWEF3bgDo8wPDMAxQvPnBWYTd8zxcffXVWLlyJebNm0eq09PTE3oKYXd3N4D0Furp1NeLHtqJtJpH3NX1dKLqVHSi6KaH6Vgo5cTIP0+Tfx+9qLrfP61ss8V6UmFPpWgexbGAydwAyOcHhmEYEUWbH7QFO/VhIvfccw8GBgawdu1acttr167FkSNH6kdfX189L6uiXa+v5LYXM+Eu7z9aN05UJRHOaaA7Plo5M6uR6b8htf+k12TexTpQvC/kPONybgDU8wPDMEyUos0P2rMo9WEid9xxB5555pmGJwnOmzcPn//85/H973+/oV57e7vyyYOlks42jrT6Se0x+uOiW2Ti+lTVkeWF/8mTW2Ki5aO4+ENIKv5o9eOFvs08HfEsK29HQNu3vLi8qSvaT555xuXcAMTPDwzDMEGKNj9oz6TUh4ncfffduOOOO+rvDx48iEsuuQRbtmzBeeedp9utkqTi2qVoB/R3dbHjY48T7sFxNI4l2oaP7oWdhQg8fQzx5bIo1HXT07TcuGZ4sVD8NZmXRUV5JotzA8MwY5eizQ/OZtgZM2aE3p944okAgNNPPx3Tp083btdGlNuGaAeoDznSi7bHtSPql5onyx8di4/+9o1ZuEM15FHSmwAADWpJREFUE4zJRHpcvlmeO1Getlh3LeKHIyglUjkmG7iaGxiGYYIUbX5ofvjTgCyIdlV/AF3M60bbk+RR8sNjahyXjLRsMXYEIK2NrAh1WR0b0XZZv2nfHJhStC9khmEYxg5Fmx9SE+ynnnoqPM+z1p5b0Q6IBLSux1zH2qK6WZDVsSHcVWVGxxUlT7YYvb4pY7Uv1AGXFhh5ejYi+Uko2hfyWMT23MAwDAMUb37ISYRdLgrciHa/T/uiPb5PNPSrrpPcDqPvU08u4t2gfzlTbyaSRNvV+fZ872NNrAOA51WJX8j58CgyDMMwdija/JATwQ7YsqvYEO0AfWGoyUJSE5uMTr6qjE65MJRLKYmot3ep2hLplDLZE+ryvvMm1gGgWj0Gz4tvu1bLwg0lwzAMkxZFmx9yJNiBrIh2k3ZMFpLG2WRk9Sg+dRPxTimvJv3LTdeOY0PMx7ehv0CTxbqMCmhuinx8ITMMwzC2KNb8kDPBDuRdtAN6+62rbDKUNn1sRtTtinh7mHrl07LF2Iyqm9UpmlinX3dZuD4ZhmGY9Cja/JBDwQ5kTbQD+nunmz/wKD07TFxZVT0RSf4obC5c1WnLhi3GRKir8kzEfRHFOkD3HubFo8gwDMPYoWjzQ04FO+B6C0ZRusmiUNNouywvbstF24tMbUbTbYpuV33a87ebR+NtRtubs/uMul+b10GtVkGpFP+bZ16+kBmGYRg7FG1+yIVgV4sCt/7yNKLtJnmj44BwLLT64XKUstHyQZr5s1ISEWg34m5fqKvyXEfVzfo2GasZw9dccb6QGYZhGDsUbX7IhWAHmrso1NYWjM0W7uo2GstSyqvqxqEb2beFm6h7ukJdnefeZpMFsQ4U7wuZYRiGsUPR5ofcCHaguaIdsPvAoyR7qscLdwjHFGxD3Y64PLUOlbQsMib92BDpce2YLmK1GVU36ScrYh3wv2gpX8g1Z2NgGIZhskfR5odyswegS7O8uiZ9x/WTJLJKs2bEC8LgQSFax7YnOQlJxqZXh/7ZqvJN6rJYDzP8JDvawTAMw4wdXM8P9957L2bNmoVx48Zh7ty5ePLJJ5Xlt27ditmzZ6O9vR2zZ8/Gww8/rNVf7gS7Gnui3UywmAmmJKI+XmC2giIw6e3F11UdJrhqW69u/OdIaS/pv7d6bPQ6Jtd41sQ6MLyoiHowDMMwYweX88OWLVtw00034ZZbbsHzzz+Piy66CEuXLsWBAweE5Xfv3o3ly5djxYoVeOGFF7BixQp87nOfw7PPPkvus+R5tG3lm8HAwAA6Ozvx5puvo6OjI5SnviMS58nqqNoyqaPahD/uTs5kLLplhtG/QPMcpTQTj/TofJIyptaYYexFz83q6Lf11lt/QWdnJ44cOdLwd03F/25oa5uCUik+7uB5NQwNHU7UJ5Mt/GvguOMmka4BhmGyjefV8M47f078PW06P/T19YX6bW9vR3t7u7DOeeedhw996EPYuHFjPe2ss87CZZddhp6enobyy5cvx8DAAB577LF62pIlSzBx4kQ8+OCDpPPK7becTWuAabTRNOLp0gpjM2IsaztrVpgoycZJ+1yobbv79za7xuz/qiTGzNKjD1tiGIZhGBG680N3dzc6Ozvrh0h4A8DQ0BD27t2LxYsXh9IXL16Mp59+Wlhn9+7dDeUvueQSaXkR2VRcEVSTv3oBpv6CT3tPKJWPgdKmLC+Yn7RMeJxB7O4Mk+2FqnrtJY2mU8rE108nqq7Oa75YB/xFRfELhjL8QyLDMAzjAN35QRRhF/Haa6+hWq2iq6srlN7V1YX+/n5hnf7+fq3yInIh2AH9nV2GsSfa48YAmD+h1GTHGJMyceVGMRfwcf03HzOvu61yadtf3ORlQ6wD/vVcIpRjwc4wDDOW0J0fOjo6tKw4pVK4bc/zGtKSlI+SJSUVi7lgtrvtokmeabSdkh8sY6tcGNFlkgeLgfnlbVOkU8q5iKqb5tm0m8W3l4zhJ9mxYGcYhmHCuJofJk+ejJaWlobo+OHDhxui6D5Tp07VKi8i04Ld/xAHBgYi6SYLM80Wc6o21DdfIGq+8HS0TPxG/7pWFHvWlTTFvJ1LWFdU0qLpLRbacSHU5eNKQ6z7f882RPSw/zBxM0wO8a+f4f/nYx9lhmHkhP+mbbTnZn5oa2vD3Llz0dvbi09/+tP19N7eXixbtkxYZ/78+ejt7cWXvvSletqOHTuwYMECcr+ZFuxvvfUWgOGFAAzDFIu33noLnZ2dRnXb2tqEEQsVU6dORVtbm1F/TPbw54dK5Y0mj4RhGJskmRuAdOaHNWvWYMWKFZg3bx7mz5+P+++/HwcOHMDKlSsBAFdeeSVOOeWU+sLVG2+8EQsXLsTXv/51LFu2DNu2bcPPf/5zPPXUU+Q+My3Yp02bhr6+PkyYMEHL56PDwMAAuru7GxYb5Ak+h2zA50DD8zy89dZbmDZtmnEb48aNw8svv4yhoSFynba2NowbN864TyZbuJ4f+O85OxThPPgc4rExNwDpzA/Lly/H66+/jttvvx2HDh3CnDlz8Oijj2LmzJkAgAMHDqBcHt2IccGCBXjooYfw1a9+Ff/0T/+E008/HVu2bMF5551H7jPT+7Cngb9fZ573Z+ZzyAZ8DgxTHIrwt1CEcwCKcR58DkxScrsPO8MwDMMwDMOMBViwMwzDMAzDMEyGaVm3bt26Zg+i2bS0tGDRokVobc20pV8Jn0M24HNgmOJQhL+FIpwDUIzz4HNgkjDmPewM8//bu5+Qpv84juOvr17UGkFBRoQ1RBghEcwaQZFCrKJDeYiCCIwKBksmHvp7KLoMouggWHmp6D8FGYGHvLSCCFKUQCgwsEXr3zqodFBan9+ln7Sf2m/72W+fz8bzAR6+7+3wmrDv673tOwYAAOAyLokBAAAAHMbCDgAAADiMhR0AAABwGAs7AAAA4DAWdgAAAMBhLOwzmJiY0OrVq+V5ngYHB23HydnIyIj2798vv9+vyspK1dbW6uTJk3n9PK8NnZ2d8vv9qqioUDAY1NOnT21Hyks8HteaNWvk8/m0ePFi7dixQ69fv7Yd6z+Lx+PyPE9tbW22owDOoR8Kq5j7odS6QaIfbGJhn8Hhw4e1dOlS2zHy9urVK/348UOXLl3S0NCQzp8/r4sXL+r48eO2o83qzp07amtr04kTJzQwMKANGzZo69atSiaTtqPlLJFIKBqN6vnz5+rt7dX3798VDof17ds329Hy9uLFC3V1dWnVqlW2owBOoh8Kp9j7oZS6QaIfrDPI0tPTYwKBgBkaGjKSzMDAgO1Ic3LmzBnj9/ttx5jV2rVrTSQSyZoFAgFz9OhRS4nm7vPnz0aSSSQStqPkZXx83NTV1Zne3l6zceNGE4vFbEcCnEI/FFap9UOxdoMx9IMLeIf9F58+fdLBgwd17do1VVVV2Y7zR4yOjmrhwoW2Y8xocnJS/f39CofDWfNwOKxnz55ZSjV3o6OjkuTs/3020WhU27Zt06ZNm2xHAZxDPxRWKfZDsXaDRD+4gN+W/ckYo5aWFkUiETU0NGhkZMR2pDl78+aNOjo6dO7cOdtRZpROp5XJZFRdXZ01r66u1sePHy2lmhtjjNrb27V+/XrV19fbjpOz27dvq7+/X319fbajAM6hHwqv1PqhWLtBoh9cUfLvsJ86dUqe5/32r6+vTx0dHRobG9OxY8dsR54m18fwq1QqpS1btmjnzp06cOCApeS58Twv69gYM21WLA4dOqSXL1/q1q1btqPk7N27d4rFYrpx44YqKipsxwEKhn6gHwqlGLtBoh9c4hljjO0Q/6d0Oq10Ov3b+6xYsUK7d+/Ww4cPs04EmUxG5eXl2rNnj65evfp/R51Vro/h7ydTKpVSU1OTQqGQrly5orIyN1+XTU5OqqqqSnfv3lVzc/PUPBaLaXBwUIlEwmK6/LW2tqq7u1tPnjyR3++3HSdn3d3dam5uVnl5+dQsk8nI8zyVlZVpYmIi6zagVNAP9EMhFGs3SPSDS0p+Yc9VMpnU2NjY1HEqldLmzZt17949hUIhLVu2zGK63L1//15NTU0KBoO6fv2680+kUCikYDCozs7OqdnKlSu1fft2xeNxi8lyZ4xRa2ur7t+/r8ePH6uurs52pLyMj4/r7du3WbN9+/YpEAjoyJEjRffxLfCn0Q92FHs/FHs3SPSDS7iG/aeampqs4/nz50uSamtri+ZknEql1NjYqJqaGp09e1ZfvnyZum3JkiUWk82uvb1de/fuVUNDg9atW6euri4lk0lFIhHb0XIWjUZ18+ZNPXjwQD6fb+r6ygULFqiystJyun/n8/mmnXTnzZunRYsWcTIGRD/YUuz9UOzdINEPLmFhLyGPHj3S8PCwhoeHp5WIqx+k7Nq1S1+/ftXp06f14cMH1dfXq6enR8uXL7cdLWcXLlyQJDU2NmbNL1++rJaWlsIHAoB/oB8Kj27An8QlMQAAAIDD3Py2CQAAAABJLOwAAACA01jYAQAAAIexsAMAAAAOY2EHAAAAHMbCDgAAADiMhR0AAABwGAs7AAAA4DAWdgAAAMBhLOwAAACAw1jYAQAAAIf9BdWephJF2kB6AAAAAElFTkSuQmCC"
},
"metadata": {}
},
{
"output_type": "stream",
"text": " 0.169252 seconds (5 allocations: 192 bytes)\n",
"name": "stdout"
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "## 和の取り方で効率が大幅に変わる\n\nN = 10^8 について 2N 個の和で比較."
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "# 速い\n\nN = 10^8\nsrand(seed)\na = rand(2N)\n@benchmark sum(a)",
"execution_count": 14,
"outputs": [
{
"output_type": "execute_result",
"execution_count": 14,
"data": {
"text/plain": "BenchmarkTools.Trial: \n memory estimate: 16 bytes\n allocs estimate: 1\n --------------\n minimum time: 109.935 ms (0.00% GC)\n median time: 123.309 ms (0.00% GC)\n mean time: 124.122 ms (0.00% GC)\n maximum time: 150.062 ms (0.00% GC)\n --------------\n samples: 41\n evals/sample: 1"
},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "# 遅い\n\nN = 10^8\nsrand(seed)\na = rand(N)\nb = rand(N)\n@benchmark sum(a+b)",
"execution_count": 15,
"outputs": [
{
"output_type": "execute_result",
"execution_count": 15,
"data": {
"text/plain": "BenchmarkTools.Trial: \n memory estimate: 762.94 MiB\n allocs estimate: 3\n --------------\n minimum time: 400.074 ms (0.12% GC)\n median time: 491.280 ms (12.60% GC)\n mean time: 488.464 ms (14.64% GC)\n maximum time: 573.180 ms (31.99% GC)\n --------------\n samples: 11\n evals/sample: 1"
},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "# 遅い\n\nN = 10^8\nsrand(seed)\na = rand(N)\nb = rand(N)\n@benchmark sum(a.+b)",
"execution_count": 16,
"outputs": [
{
"output_type": "execute_result",
"execution_count": 16,
"data": {
"text/plain": "BenchmarkTools.Trial: \n memory estimate: 762.94 MiB\n allocs estimate: 28\n --------------\n minimum time: 369.929 ms (0.17% GC)\n median time: 444.258 ms (12.63% GC)\n mean time: 466.281 ms (14.97% GC)\n maximum time: 594.597 ms (32.51% GC)\n --------------\n samples: 11\n evals/sample: 1"
},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "# 速い\n\nfunction mysum(a,b)\n s = zero(eltype(a))\n @fastmath @inbounds @simd for i in 1:endof(a)\n s += a[i] + b[i]\n end\n s\nend\n\nN = 10^8\nsrand(seed)\na = rand(N)\nb = rand(N)\n@benchmark mysum(a,b)",
"execution_count": 17,
"outputs": [
{
"output_type": "execute_result",
"execution_count": 17,
"data": {
"text/plain": "BenchmarkTools.Trial: \n memory estimate: 16 bytes\n allocs estimate: 1\n --------------\n minimum time: 105.714 ms (0.00% GC)\n median time: 120.257 ms (0.00% GC)\n mean time: 119.414 ms (0.00% GC)\n maximum time: 152.791 ms (0.00% GC)\n --------------\n samples: 42\n evals/sample: 1"
},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "# 速い\n\nmacro sum(init, i, iter, f)\n quote\n begin\n s = $(esc(init))\n for $(esc(i)) in $(esc(iter))\n s += $(esc(f))\n end\n s\n end\n end\nend\n\nfunction mysum_macro(a,b)\n @sum(zero(eltype(a)), i, 1:endof(a), a[i]+b[i])\nend\n\nN = 10^8\nsrand(seed)\na = rand(N)\nb = rand(N)\n@benchmark mysum_macro(a,b)",
"execution_count": 18,
"outputs": [
{
"output_type": "execute_result",
"execution_count": 18,
"data": {
"text/plain": "BenchmarkTools.Trial: \n memory estimate: 16 bytes\n allocs estimate: 1\n --------------\n minimum time: 125.708 ms (0.00% GC)\n median time: 131.618 ms (0.00% GC)\n mean time: 131.698 ms (0.00% GC)\n maximum time: 141.348 ms (0.00% GC)\n --------------\n samples: 38\n evals/sample: 1"
},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "@macroexpand @sum(0, k, 1:10, k)",
"execution_count": 19,
"outputs": [
{
"output_type": "execute_result",
"execution_count": 19,
"data": {
"text/plain": "quote # In[18], line 5:\n begin # In[18], line 6:\n #73#s = 0 # In[18], line 7:\n for k = 1:10 # In[18], line 8:\n #73#s += k\n end # In[18], line 10:\n #73#s\n end\nend"
},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "# 速い\n\nmacro sum_fis(init, i, iter, f)\n quote\n begin\n s = $(esc(init))\n @fastmath @inbounds @simd for $(esc(i)) in $(esc(iter))\n s += $(esc(f))\n end\n s\n end\n end\nend\n\nfunction mysum_macro_fis(a,b)\n @sum(zero(eltype(a)), i, 1:endof(a), a[i]+b[i])\nend\n\nN = 10^8\nsrand(seed)\na = rand(N)\nb = rand(N)\n@benchmark mysum_macro_fis(a,b)",
"execution_count": 20,
"outputs": [
{
"output_type": "execute_result",
"execution_count": 20,
"data": {
"text/plain": "BenchmarkTools.Trial: \n memory estimate: 16 bytes\n allocs estimate: 1\n --------------\n minimum time: 119.703 ms (0.00% GC)\n median time: 128.583 ms (0.00% GC)\n mean time: 136.279 ms (0.00% GC)\n maximum time: 178.301 ms (0.00% GC)\n --------------\n samples: 37\n evals/sample: 1"
},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "@sum(0.0, i, 1:3, @sum(0, j, 1:2, 2.0^(i*j))), sum(2.0^(i*j) for i in 1:3 for j in 1:2)",
"execution_count": 21,
"outputs": [
{
"output_type": "execute_result",
"execution_count": 21,
"data": {
"text/plain": "(98.0, 98.0)"
},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "# 速い\n\nfunction mysum_sum_of_f_itr(a,b)\n sum(i->a[i]+b[i], 1:endof(a))\nend\n\nN = 10^8\nsrand(seed)\na = rand(N)\nb = rand(N)\n@benchmark mysum_sum_of_f_itr(a,b)",
"execution_count": 22,
"outputs": [
{
"output_type": "execute_result",
"execution_count": 22,
"data": {
"text/plain": "BenchmarkTools.Trial: \n memory estimate: 128 bytes\n allocs estimate: 5\n --------------\n minimum time: 122.815 ms (0.00% GC)\n median time: 155.412 ms (0.00% GC)\n mean time: 156.040 ms (0.00% GC)\n maximum time: 206.671 ms (0.00% GC)\n --------------\n samples: 32\n evals/sample: 1"
},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "# 速い\n\nfunction mysum_reduce(a,b)\n reduce(+, zero(eltype(a)), (a[i]+b[i] for i in 1:endof(a)))\nend\n\nN = 10^8\nsrand(seed)\na = rand(N)\nb = rand(N)\n@benchmark mysum_reduce(a,b)",
"execution_count": 23,
"outputs": [
{
"output_type": "execute_result",
"execution_count": 23,
"data": {
"text/plain": "BenchmarkTools.Trial: \n memory estimate: 176 bytes\n allocs estimate: 7\n --------------\n minimum time: 115.950 ms (0.00% GC)\n median time: 130.868 ms (0.00% GC)\n mean time: 133.665 ms (0.00% GC)\n maximum time: 178.645 ms (0.00% GC)\n --------------\n samples: 38\n evals/sample: 1"
},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "",
"execution_count": null,
"outputs": []
}
],
"metadata": {
"_draft": {
"nbviewer_url": "https://gist.github.com/799b4f2f5b081cfd4c7fca02fcffa23d"
},
"gist": {
"id": "799b4f2f5b081cfd4c7fca02fcffa23d",
"data": {
"description": "Julia言語における配列の扱い方について",
"public": true
}
},
"kernelspec": {
"name": "julia-0.6",
"display_name": "Julia 0.6.2",
"language": "julia"
},
"language_info": {
"file_extension": ".jl",
"name": "julia",
"mimetype": "application/julia",
"version": "0.6.2"
},
"toc": {
"threshold": 4,
"number_sections": true,
"toc_cell": true,
"toc_window_display": false,
"toc_section_display": "block",
"sideBar": true,
"navigate_menu": true,
"moveMenuLeft": true,
"widenNotebook": false,
"colors": {
"hover_highlight": "#DAA520",
"selected_highlight": "#FFD700",
"running_highlight": "#FF0000",
"wrapper_background": "#FFFFFF",
"sidebar_border": "#EEEEEE",
"navigate_text": "#333333",
"navigate_num": "#000000"
},
"nav_menu": {
"height": "12px",
"width": "252px"
}
}
},
"nbformat": 4,
"nbformat_minor": 2
}
Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment