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@xeno14
Last active May 24, 2017 12:30
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# NumpyでMandelbrot集合を描画する"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"%matplotlib inline\n",
"import matplotlib.pyplot as plt\n",
"import numpy as np"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"N = 256\n",
"x = np.linspace(-1.5, 0.5, N)\n",
"y = np.linspace(-1, 1, N)\n",
"X, Y = np.meshgrid(x, y)\n",
"C = X + Y * 1j"
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": true
},
"source": [
"# forループを使って計算する"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def count_diverge(c):\n",
" z = 0\n",
" for n in range(100):\n",
" z = z**2 + c\n",
" if np.abs(z) > 2:\n",
" break\n",
" return n"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def calc1(C):\n",
" M = np.zeros(C.shape, dtype=np.int64)\n",
" for i in range(C.shape[0]):\n",
" for j in range(C.shape[1]):\n",
" M[i,j] = count_diverge(C[i,j])\n",
" return M"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"1 loop, best of 3: 5.08 s per loop\n"
]
}
],
"source": [
"%timeit calc1(C)"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.contour.QuadContourSet at 0x7f81b1fabe48>"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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Tf2s9VPD+0RDfiRy/o9oxF+DnecBr1lvmgnktxRrT9FtZc4c0SvtwH2+nVHOVQSJ84Xxg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\nKEqDoIKvKIrSIPw/S8PccwUtrl0AAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f81b1fabc50>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots()\n",
"ax.set_aspect(\"equal\")\n",
"plt.contourf(np.real(C), np.imag(C), calc1(C), 21)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# 関数のベクトル化"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"calc2 = np.vectorize(count_diverge)"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"1 loop, best of 3: 4.77 s per loop\n"
]
}
],
"source": [
"%timeit calc2(C)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"若干高速化した"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.contour.QuadContourSet at 0x7f81af391198>"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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N0/w7bBH8RqP3C/nlMw3mCBUpd2LtQDweIbkYIOwx5ZfhydYfmnA+CE/Ck0wf\nKX+w+E6+VtH3mTSkfk2VeEQ1V/RF8JtNJ5QAqmolo11Gpb/DnoEbmtlChXT+7kpaEwqNJjwPAxsZ\n9hhCv6eO38W7y7TLfV/tZYMH9pyRFgaGUqXTJB6vXmCPIUI7W50h+j5gt7tmBR7DaXJim6c9ti7w\nRd4l9UwQ7sNjv2k8/kXeZV913pC40BskluDQGS+8Df2ZrJmMBUXfT7Yx1TsVghT1tmv8tEUzdiXC\nbwbX4QN1xEWV6qyGqNfp3kjfOe4R4AZsWhN8oI7YWggZy+PnFB+oIwa9R2xdDfEp3ddNNUdCl5FY\nsmdrO9H9dbA+WTbnuz0LvH81W5Kjt/GZiVvcwMwn2aFlgZgIft1UiR/fAa8O8FgHCgM67cIRyjnM\nF+wW3Sf67uMdK1TjvKj7mFjchDlQ39WEJ82AbeIufKyOJMIXms6TjT5yMx6s1WXGVBQ9ZRrvxPyz\nfI0vGdF3p3xssR9TUfSiKhgCtggR/EZji1PIv0XI3+Z0jiOU9zH2wPc53jqzk1F2LtTxsr8OMWuW\nYfZ5stiHnzTD7PHYusBj/wUGNjJmsNYj6RyhNSzxhonobfazoH9D8ayKs8ewsWIo4X2mTEFBzF7Q\nwjSrCH7dlEy8ch6dUIrpPhbbxzuX9hQ39+4G7N6zm/4JLGuZ2OoskatxPlZHrPGK+ZuAPcyF7SXW\nYVfKMoXWsmlNMKaM1cI9Cg11Iutx+q0ssfSsSffY+f1c2sPExibqu3YOv4VFFTLxqm7KzLR1Bmzc\nolq3k94ZcMQeChUAO3TfRLAXhgikjQvmGq8wzB5Bb4pEtuB66f6b9u9KZC+0lrCneoDh1QGCV1Pg\nAzVotLbfKt4g5/eU6MQ9mjXxSqp0GomTj/NBIJ0EKNTp1jMKf5aR+13KDxh1E7vm//fF9LvMY/sZ\nX4PxJTuKEk8coc2cdDeZUSlTt3EXYnqWPYZ5nykAXuMtAKIjK+Z8bUEQJoLfCJwPynVb9g1eBeDi\nyNPC1dt53f3BlhN19+1dvaLvo1AaVhrdn2W/rWYXUjNBllZh6yDUGSWuglAHkYU4+GB4ao+3eZ1o\n3O6XeybjtdMhgt9IHAHdHeKLvGt+3+FY6uF4CmiocIUvMQWr++5gl8IAbenEjmoXoE5kx4g+rwHX\nYCgG9y63+6AE4XQkFwPsMczbvG4Gc2/R8pSvCH5dnFzhnXomWDwJw/3hOpRY/BZdCLBfO0tEu4Mp\nxxwFbpbXd1rtAAAgAElEQVR5PX9sQyffUpY1e2oRdqpsedVi+NKevTDV2mMQhDrI23v4QM1swZjx\n0M+NHq/eaQUi+K3C8dbZoVjkT6qace4OGpmCOc1U7tKLUKOP5RREn1kBH2ymJxgHhu6IFbLQ4Vyz\n3TRvYs51VwlnOwo6RPBPTQ3zNx2Rdk+qcPLpFD/vT2cLt3cOIyW/l6ZgHMp9Udzr2P4ypft9vHqB\nNV5hjWm+watcvPW0/P6dv8W5SwAzkawdeXQf+VnLIf8W7JgJWOH5lPSnFTqfMfLnfGrUWIEAZc7h\n5taZieA3g1JBfIfigVNH0MdM7fiwtceeNUw8HilcFEovEGDE2xFwJ9J2qBQlOO9pR+j9q1kGvUdE\nrsWJXIvD5yCQSZoUVDnmisvIciOe1kT5Jf0FnKqnYfaIj0QI+JMEF0Tshc7A3bMq/Aj2L9vPd6F/\nKgt+81rulqcQNLXhLlkE/1TU6M5SWoUDxRcBxz8DwIJnVZwosKeHSREkYCVJxYOF3L8dZVvWMu9b\nU6Zut5QaJ27kZjwkMwEAhtmHDKTSQTNIXFot4ANG7UlbTkTSwooCh/501njmXIOBSxn6V7MMswe3\nW38sglCOexgXzeVFiwFe53n9gHmWGODr5GZc5+uZu2KdDZl4VTNntOKqlC4B9BvGYlV9V/PYf4EP\n1BHhRy43PfviUJT+qTWt4p7167qz2LQmGGbfuE2mg4Uc427Jtgmw/MsAxNOR4pROsyIU1/+q/5Ms\nh+vefK7eaS33JNPHB+qoOe8vCHUQngf1RzpvnnYs/VnT+eLcJ0jHq+6mXEcsG/Utjfqupt+fZY8h\nwh5IXgpgrdqOevaAby7uKaR5Su0bylk62KkQK71sUjOrWbhhUjRBb4qP1RHf4FX6/VVmj9yHPYbZ\nY9isN+d6n2ZMB3fv8zp8jS8VDcwmlsxkFxF7odNILIH+rDIB2SgdObNdBL8mGmi0W+6Dd1XqhOJb\nzGZiBL0pVrxR9IbKD/j0W1liq7N5AS9ijmIxtn8Os5df5XkeoBcVh14viayJJQa9R7zGW+jPKjbT\nE8e255apgU+lXTn+EQqzeN0+Qmf1BOk2F09BKOU25vxwB2AdIvYgKZ0aabCzermG53ZNfL+VzQuy\nw7aOMc+bLPEGKwtRU+r1XV24ZXRVsPT7syZnuFNmvwvesoOcYbu8MTwP6pv6uB+QU68/apqM+Emb\nuw33RccZUD5LVFMq+NeBG8Zqdpg9Mkpq74XOZhyw9KYJkE49ONv8JuYyaNtqSkXNEWyAUTg88B7z\n5xhTUT4AokTBGf+5av90tr0J1uqyiehXzaLojD11extes96qnPffhRd1HwOkYZDiiVo3TA5/mD0i\n63ESI3B4x4sa1YXy01vmgpIb9RTnLc9ayWMPEEfHVui3snyIV8zRhI5nniWW/JCaC5og6KN2H1EB\nSemcSAOj+5NSFvdNFUqld7yH8dt+sthHwJ88NoHrfaaILMR5VpmH/rwyOfvVLNH0SlXb5iXeIBf3\nELCSZpD2BqazlN9Yvz6r4nDb/m+493Md2LYreW5yfFJXrWmaE9bLzXhMQxlB6HD2GDa/bNNx3k8S\n4VelBU3y3PYLToRfZfV7wLg6Ak3xrL0xjjdb8MHqZdOBZ1vHWPZbPLsUL3sMewwTsJJsrRuDsunF\nNZaYZ49hQqTyPt9l/yNjrp+3yrxeKdI/6WJwy5SiDrPHmjVN8CCFYx4rCJ1K3ivHSYt2kFGh5PAr\n0gSxLxU4W+wfr5rm24MHR/C52hp4jAPDO6ay53DBawaL7IGiSpOR3JNDyr2G6/XwHSAKfOiaROKi\nqGzUvljF/Mb+NR6PHB9UhvLzEyphWygEvSmSmQBBb4r9rIi90PmEPaBCunwPiqqz5SWH3yaaHNm7\nG6XcgMF1u8TwFN2a7gEBvx2R37a3y1LVI76aWJa+li+FrORKeRuT9rFz/f3+bKEiaJTjDqFwuiqc\nEQium2YnOJ7igtAFJLIQW501Y2hzmNTOO3REFZrk8FuF+8N2Ujh2vntgKsPAVOZUu/PqAF9RIRIv\nt6mln89U7Dh1/YcHXoLrKaZ5r7DOfQh8kqyvEcvYyasIQicSnoTIVXsMbZTCd9mHSXnep23NiSSl\nc4wmRfflSjGhaPZrwEoSV6ET0xbVUjOtxqsDJhJ3ZsJ6YCCTIZf2sOmfILieYnnKMk6Xp8EuNdVT\nSnrUCl2Lk3olDMyZc3yaNdaYNt3wPpKUThtpwSAtlB+5HzOeNkOPTm7u0SliD6aFGyVjxU5z8SXm\n2ZtaMxVCdaCfM2J/Ut9QQehU7gF6Q6FGdN4p86H/ihnUbUMFj6R08rRI7E9g+ZLV7kM4NUViHDNj\nC9yHh1xhjWmzvEpJ6Kn2Lwjdxi5mvAvgpt20vFw1WwsQwQc6Quy3gZsQTa/g7eZ68yhsXQ2xaU1w\neNXLN3gV/Zxt23CdgvtnNXzwOH2BhLQxFHqEfn/WeFm1GUnpNErsq3nTV3LKLLUwALgPIbbQd5Sp\n2ukyv/d8tZBdWRO+aiqQgtdSBFaTxZ485bAvBoMLYo4mdD9hDyxvmLv253lAbsxTeb5KCzjngt8E\nsS/3vBz2YG1/OsvzPOAhV8ilPVj+ZVauRklUKa/sNpIbpnnzNGsmf1ma9C/DwGKG1xbfInI13lP/\nC6H3eVH35X+f5Q0zL2UU873fpuCA2wZv/HMs+A1O47hN0Mo1CSlNY+wYsT888OYbeTxZ7GPQe9Rz\nOes9hlljmmH2eIl14nOR6p7+I3B41WuEfp6qcwsEoZMYB9Z4hT2GWVmPwhTF0bzznT+mEa0pxTin\ngt+EnP0ucN341uTGSpwknfTNDUwNbsntXD5ts9R7aYzEXQipOJF5Y+mQXAyYrl23POVz+SNm0opT\nYdttKS1BWGOah1xheGrPRPels23bOIvwHAp+E8TeNWXaKUnMT6ywbQf0c4r9yzA0jynRwva+OSGl\n3QvcA+7Zwu1dtBfOUT6PuWObT12D8aXOKkEVhJO4B8RViE1tmZm279AxPjpw7qp0mlyN8w5mgoWD\nLfaWfxl2bfG6bWyMH69eQAeV8as5Z7zEelFj9FLi/ghPFvsYmjezFgWhm7iH3XioA2eLn6MIv4WT\nqpzI9UZh8ZOpPsKTJmWz4i2ofCLbWTNnm03QmyJ4LcX04hqhua3yUf4IDF49ksFaoasYBza1Zdwy\nZzyFPP3KkBmsTbQ/0j8H1gplhL5ZdqXl3DDnyHeKKteH9bzOInVOjujMyvHS1BHQOSWCL3Qd39NW\nPoef85v0biCdNM+f8VTQnXLhnjQxr4MKYu8DXjhj/9VaGMFc2e/DF3mXcJlqxPMo9mC+4pGFeMXb\n3icbfeVfEIQO5lkVZ8sbIo3fDM7axRvP86Ctx+XQo4I/Tk0pHB9nb7xdDSdy3TY+OXzYnLfpRsYx\nFTh7s8qcFI6JnP3zi7wr+XuhK8kHcfdNA5+HXDHnf83RffPoMcGvQej1fnGZ1Bk8Xk5kFyP6O8B9\n45NTLso/j9xz/YxZs+aJyzl0az0kKR2ha9ljCMtaLrQ7DJdbq/Ujdz0k+GdU7rNG+ZXsEyCf2hlm\nD2Jne5teJOKNFw1wA+eyeknoPR5yxQzgtmFWbTnOUZVOFZzuTCcN5tZ6UbiFyd3vAHPmtg5Mhcp5\nzdlXI5E1Dpup8zApQehZxoGYNhHdVxkuiH1pUQLQrrq88yv4u5S/KXBEvZwBmnv9SrYA102Tg4eW\n8bzWn1Zw1byXiH15wvPwVcgP4PZbWXirnUckCKdn6I6ZQ5JPTTo9bTto4tX5FHx3M+ER13K3iFeK\n5iut7/AOpG4E4T5sWhPgtYVe8tEVSSzBli/EhLVJKh3k8MArF0ehqwjPw8TUJrxCQRc6SOgdeiiH\nf0pKB29HaNwAbhi4ZTw1uNagfZ4T+v1Z9sUHX+gyEkuwdRBqbhFIAzi/gu/gdq1zRP86DWkyHJ+J\noAZ1kV2qUJ7EyzDNGs/z4NzMOhZ6jNsYDTlRO9r3DRfBByP6zsDKCCaXXMkHo3QAxkfxVd35fc44\nZ1rWMoNXe88FsxlEvPF2H4IgnI0O9M9xcz5z+OXYpSD2YKpsSm/P5qhM6bqjxiRs5aC3mpk0k0TW\n3Ba30T1WEE5Ffl7NNVBXbZuaqt2s2nv/er4jfPegSgVvdvcMUMtaNiWWo5gLwwjFs0Td3If3mco3\nNxFq5DYyOU3oGmYzMWYzMdQfabiJeXRYZY6b8x3hV6urv2EGEHNpj2lasm0E/Hke0O/P8rz/AanR\nIJv+CfasYWMCBiblY18A8l2bhNPhw/TFFYQOZ8UbZSCTKYwFdqjQO5zvCL+Ukvx8Gj96SrE3q3i8\neoFc3MM0axwueImrEI/9F/JTpx+vXkDnFIF0srADX8tMmXsKuUgK3cA4gM/V9OhEsW9/OcL5jPDL\nRfbORKxbmAh9FAYXCv1lwwtHaJ8q1NUDqCMik/H8TN3EXZhnidCYmTH6ZLGPez3YtrCpVJrQJggd\nQtgDfAjJSwEs5mGmlq3aL/ZwHgVfDZmyqdImwqU5/PvFTyv1Vk3cpWhS1UWVol9nycU9DHpF7E+L\nRPdCx3MNJi5tApDyBzs6Z1/K+UrpOGI/RuVa2TnyrQnr4R5wuOCt2sJPEIQuxmfcXLcOQuZ5l4g9\n9FSEf6myDw4UXnPy9Dscj+oTEPMbq949hmGqviPZX4L0ol8GHwWhBxmYyvAS60YjOsQFs1Z6SPAp\nCPiuK0fv9s2B6jnim8Cq6VozBnXXg98Dwt6jjp9mLQjC6XhdZ8j5PcR3I10V2Ts0PaWjlPp5pdSB\nUupfKaV+VylVdS6aUupzSqkdpdSfKaUeKqW+UvOblauHrzRACyZ949TR29u+zes1v101ElnJRwtC\nL7GtY8buuIty9qU0VfCVUj8H/AqwALwA/Avg20qpCxXW/xHg14HfAn4CWAYSSqnmGKWP2o8brgcy\n8UcQBINbC95nyhR7nFrsO6NCB5of4f8CsKK1/p+11r+Piaf/FPjPKqx/A3iktf6vtNYPtNb/CFiz\n93MyTn6+1N/Gjfu1m2ZyVcCfRD+n0M8pDtfFmlcQBJtrMLOjTSrnGU/XRvYOTcvhK6X+MiZR8raz\nTGutlVK/CfxUhc3+OvCbJcu+DfyDWt+3P23UOuf3VLZLcLAj+i1vSEReEIRjqEENo5Cj+8Uemjto\newH4PuCwZPkhcKXCNp+psP6nlFLfr7X+84rv9hIE1pN8RYUYB4ZXdMHEqDS373RW8mc5XPeyL2Iv\nCAIQvlP4XX1HVzdM7EJ6p0rnd3+Bvcn/j18Dfg3gH03Cv3wVfvDVNh+YIAjdQNgD6lu60JqwZfwe\nxp7XzZ825Z2aKfhPgb8ABkqWDwB/UmGbP6mw/sdVo3uAv/oP+Et3L/CfK6+J8H/+7gk2pYIgCAUS\nWdA5BT8M/CwMLNp5+6bzk/bDTQb4xYa/U9MEX2v9r5VSO8BPY5sPKKWU/fwfVtjsd4AXS5aF7OXV\neWDy9jM72tgiuMXebYo2Qv5imsPDgJXhcNLLPSmhFIRzT76U+i68teQtDNb2CM1O6fwqcNsW/n+O\nqbb5AWyXeKXULwGf1Vo7tfa3gJ9XSv0y8D9hLg7TwOdrfsew6/dyt2WOSZqDBQMbGdL4ARg8OCIh\nPVUFQcDYpAx8kuF5HpB6Jtj1A7dNLcvUWv8z4L8EloCPgB8HfkZr/R17lc9gbqCc9f8Q+ALwtzDS\n/AvAda11aeVOeZzB2V2q5+Cc125ALu4hl/ZwMf6Ui+mnDFzKEJ6s6d0EQehx9pfgLeXlKypE/yfZ\n6j00ugCltW73MZwJpZQf2IEdeMFE6TUNuPgojMC7xkv6V7O8pbyNPUhBELqe72nLNDpqyeSrfA5/\nRGudPuXGFemdKh0HR+zdH0jpVdlJ6ZQO6s7Ba7yVb1pylvlxzl2C2CsIQm/wrIoT0NOkdoLGr6sL\n0zu9ZY9cTuxLn/sorst33w3Ylsib2sLSm3WndsIeeLLRV9/GgiB0LF9RIaz0MrFPZrH0ZrsP59T0\nUIR/APrfrPyy45o5Qn7iVb4JijOQG4bo3IpJ8YzZy+qJ0GNwMf0Uvavq2FgQhE5mZT1qfvFB/AXd\nVRbJvRXhn4TeNyJ/i+Mdr5xI/4y1++FJUF59rGOWIAg9wq7xxB+4lDEBZBcN5J4vwQcj+tUGdZ10\nzyhF5ZvheQg/4liaJzxvpmOHJ01T4+RGwPjqb0MyE2jooZ8HpEJK6HT2l+Bw3UsaP9bqsumed6Lo\nj5/wems4f4IPRvRL8/xObn+MfMonORUgPGlEKLkYQCU1sxuxvPB7dYDlRYvlKYvkRoChO/Blvm42\nHoPg1VQL/6gewdcpp4YglOcekHgZPlBHrHij9K/WasbV/m/2+RT8GvkyX0d9QaP6NaGZLQJWkj2G\nGbiUYWAjQyi+lV83NLOF+pY2Lp3CmRiSKF/oRrogtdNDg7Z14G5/uEtx9c5NyO24xHsEhtkDIJUO\nmrTNDkS3V8zrbvuGHWDMzOA9XPCSWGren9CTtNS4ShDqZyKzydf4EqFbdvC3PVRnnX5rON+C774i\nl/POd9swvANxIoUKH4cdyjMKL7EO12B8qZN63nQu4wDXkAuk0DVseUPsZ0FPKtSCzpd2805n1ulL\nSqcUZ9atI+xum4YdTBXPNsctVEvtHG5CPB1h9lJMUhQ1MjQJE5e6r7ZZOL8ksnZO/y7oDVVDdV57\n8/gi+GBG2UcwIr6DEfRSe2qH0mYqpULvvjjYok+sgcfawyxvWO0+BEE4G5V0o0M4v4LvpHOulyzf\nxeTgSuv06yC2OoteVOK+WQPhO7DGNA+50gG1DIJwOsYxlXzsUIN2tO8bfn4FH4rz9o3qcuOz++om\n7EFeGYCsDfuzyKU9DD1q942vIJyOoUkTsHT6+X4+BV8NFcTeSeO4PyinTt/9wLX+O1T+YEfgeR7Q\n788SmtmCD03NvrtXplBMeBIGLmVIxYNw3/w+JNWtQheRuGtbLvgwWYNbwAtDRms6qFzzfFfpOJSK\nfTn0vnHIO4l3IDUWzFs0qLc1gY0kw+yxMhkV98wyJO6ai2Ru26h8DlF7oftIvAwxPQvY6UnrCrm4\nx2jBR+09NgcRfDcnlVFVe919FXd89n3ADqRmgqQIMryxR+QgLjn9EsKTMJMOtvswBOHMPKviAMzr\nPdaY5n1rygQwc6VlmuO0o1i7h1I6u5zpH3jWmtly27srdsZMTn9fxP4YsxsxM5HNzYftOBJBaBx7\nDPMS6/Rb2fLzfNpADwm+wz2qCr87fw9GlJs1QcIp9xyBfitLcD0lE7Bsxu1HeBLiMxGz0JnEtm3q\n8cVITehWhtknlQ6yxzBgF3Icy+W3vjShBwXfoQZpbabYuxkzs273X27+W3UL94CheVD9ujBwTuHn\n1kFIxjuEriTsGoJKzQR5ngc8z4MKa7dW9HtY8KGs6Dv2yB+VccxsBjeAUZjnzWNHM07xl+M8EfbA\n7GKVGWnR1h2LIDSCcWBbxxjIZPCThjD5AOYhV9p5aHnOwaCtI7OuK2kzhL6cL88N88PyLwPGOx8o\nmp2byLZr+KY9hCeBa7A8ZRGPRyp7EQlCl3EPmGaNPYZNibF9jqdm7IKEirrTOgXo8QjfTYsk9Tqm\nSmeEIl+NwfUjYwp2GyY2NklmAjzJ9BGePD9iD6ZBzOxUjGh6pWp3seUNK99YRhC6hYxK8RUVYtOa\nKHy/E/vm0QGcgwjfzT2amjO7jonqHaG3PXniYxGmrTXCkym4Zq74IYJwA3RM1dc3twsZBx4D7zNV\n1WQqtjpLxBsnUWtfCUHoIMIemGW6I311zlGE79CEeNqVzun32yr1jusxByH/lmmm8p3CIGV+3R5n\nHJPOGrJTWrm0p3J0X2pOJwhdxDgwm4kRT0fYXJ0wgY3qnBm35yzCd2hCpG9Pssr5PZVtFyqInGO7\nkJwKELya6qnqlPC8GZzdYzjfQCYf3Vf4P0VnVoj44pA1/5uEVDcJXcQwe1j+ZYLrKaypZeI+u+x4\nBNgZMj/b1CTlnAo+NFz0TzJNKn39OuRmPKgbmv6prIl64xDYSLK1EOqdJiC7hYEsgLd53Vz4qv2/\ndmAgneFrfAm80hdY6B7uAZEDM9s2X7yRcK1wk3wxR9HyFg3cKq1109+kmSil/MAO/D3AW8ceGij6\nzi1buSt3uds59wQwJ5UxBoyCfk7BbvdHt/lB12swMJUxF7Yw1QXfB/pnVe9c9IRzyzjwWAf4Ml/n\neR6Y6p1tChbKRVrhFvwM8IsAI1rrdKOO5xzm8Etp4FW11FnzJMqJ3ig89l8gcbk7xT48adI439MW\n4XlTlfNko4/lKYvcjMekc2qwkE0uBpp+rILQbO4BwavmLvUhVwrd8tpktXCOUzpumly9Uwt2ZL/p\nn+ADddTeYzkLPhhYNJH824uvm6gmHSxE9bU0ltk1g9z6kTSPEXqDXNpz3C+qDUiEn6cN1fBlrvLB\ng+7LWRfVyt+2v9wYy+N5lkw10hkaQ5zX2chCj+DDBDwANyCQTpq5Om2I8kXwi2iR6DtNEiBvrgZm\nRm4tEW0ndYP6nrbgWvEyp9x0niWC6yle463T73jENEIBpB5f6FrCk6Cu2uOkYxDwJ5lmjYCVbMvx\nSErnGE1K7+j9wsDtCCaFA+aK7zcf/spCtHjgvsoRvqj7+FgdtW2W7ou6jzVeIRpfITq6wmN9gcH1\nI5JTgfzAbGhui34ra0pVT8sYHK57a/p/CEInEZ7H3NHGQH1XF8at5iC1HSw0SGpDO0QR/HZQ6gy5\nHjr1Lj5QR7yuMxweeOFzrY+CBxeOiA6u5GcT+1fTfG3qS/nySwDmIDdXZz5mG/h8I45UEFpLYsnc\n+Ub9K3btvetFZzJmm5CUTlmaHDe7By9vwpOpPpJTAZ4s9tWcrw57TK5cJTXECn1z8wZtFN+nnOTM\nGfaYR96n3vaxeVH3HbvfGQeeLPYVpo6PmWNZY9o0cq5UiVOpT3A5dozBWnjSrviZ7KxUliBUIjyJ\nEXso7n/dholWpYjgV6QFyZJdYAcuzjwlFN/iYvwpyczJ5YhhD0xkNs2o/zaob2lUv23b4GLoUUHE\nLb1Zcd/hO2Z/A5kMQ49g6I6Z9TuwkWGP4vkDYY/Z78X002NOl/F4hJQ/WGjx6Kbcl72a8O9CNL7C\nxMYmewwzsbHJp8pcfAShkxjHmCMey0U63/PTBD1NQAS/Kq0TfSdaXmK+2tomSv/QtWCn8Oi3SvI6\nu6Be1wzvaB5yJV8PXO4YhtkjF/cwcCnDxNQmofRWvtrG+S+E58ukjlzHDpT3wqm3V/AcpPxB4jMR\nUjNBBg/aN2YhCLUyzZoZl3MCnw6I7B1E8E+kwROzqjFqOj2V4kS1+ZTMbcyMPXeEPWe6ai0vWnxP\nW3xVb6K+pY0Y3+TESpl53iRgJcnFPWbfNzEDr+ktvqo3+areLJSRudM1u8CYXZkzynF/+1q/7OXW\n85Ef4O5fzUo/YKEryHtGQcf0snWQQdtW467WgcIXYge4D2pUoydVkYFaTMeYZo1ZpllZj5ptvmu/\nuGvvYxTiadukKVzY1okyomnbkKzEmG3cPoYP1BFb8yHUN0usNsKQGgnCmDm2TT2BSm8V5+nnILft\nMX+D+2Jw1shmBLhhJqMNs88HZ9ubILSEL/P1giNsGypxqiGCXxMNLNUsJ/YACRMl5+IeZjdirFy1\ne/xdg5l4hDgRk7KZwlTCJCl8mXYpOFC6v2Q+sCzTbSsejzCwmOHQ9htyfGqGJs3gaOROnOUpC75J\n4SLiZtQcXyi+VZge7sZdeVCv0JdeDDFin1EpMvXtURBaypDHmCLW18mt+QZqIvitpJIftp33zqU9\nPLYu8LE6gkcwcWnT2BJ8y35920OcCm0By0UTuxSVSebSHtRVTb8/y+Gul/27xusmml4h+q0VeJPi\ni4gPmCtcNN5nqiD2zao8KBH9PYZ5lu6bfSycU2IUn0dgvs8dkseXHH6rqNL8QH9WoTMq/9y5xqdm\ngkWNkPtXswVr1TLiXo7UM0FTOXMLs6+bkIt7SG4E+JTuO3GQmNHCr7m0p7li7+Ds9x2Tigo/Mk/D\nHrtc1ANeLeZqQmcRnjcVc8xB/yfZ4rvkDmh+AiL4p6DOW61ynW5c1gpWepnEEuy/bGbcXow/ZWZH\nm/r6MYpsk19ivb4uWY5A2wOgj60L+ZeKBokrXDTi6UhhfKDVOclRY7EQvgN8aCyW1bpmjWnx2BE6\njs3VCfqtLM/zgMfpCwQ+SZpg6zqw0n7RFz/8U1NDLr8W73vbWsFJl+wxXOhuj/26U+7o5Mevc3xg\nFIoj7UqRhF3x0r+a5dDrNf4314DPmRr81DPB8ttdt+8sbHIzngpe3g2mZKyjP21OomH2iM9ECKz2\nWKMYoatxZ9/dXdrC88Y91iFvM7JLhfPH2Utz/PAlh98MfBSL8nUKAu7Ov29DfDRiBlyd9oe79vqO\n2JdOy3ZTi+CWDL7mZjwkMwHWmOZ9pngt85ZJ+VTiHcjhKXj/OMfT7JykO5e/a06U3JyH1KgpR33I\nFZYXLSK+eFf2DRB6C/f9f9H30WdSqGyTv2PvXzXFGcy1Prcvgn9qaqjYcVXJ5KN5t9i7RTxcso3z\nej0TmJx1HKG0B10ZpciLOzSzlX+P6NhK9f2rIXOhcY65XWVmtvkUPnicvsAH6kj63QpdQb+VNWXL\nt4A5YxueG7Uj/WMDus2t1JEcfqtwUjHOwzFRKifsbhoxQHq/5Hm5tFAlnCngznGf9VjOwOYnEzxO\nX2CNVxhHxF7oAm7DodeLzqnj57pz993CAV2J8Ovi5Cjf+sSuf/dHahNYR0TVUOOi6BGOp5Hc+3Yu\nOrXeObQL+04leJCCXYgQF9tkoSvIT6DMwmN9gT2G+DJfPx6EtQiJ8BuFU42jhsBnrArmedOIbrlB\nVufxDvDRfvFrcPaI2kch7+4cQ6Xj6HRGKDSMuG0qmgSh2xhcOMo3BOq3ssZg7T7mXG1RlC8RfiMo\n8wLujnAAACAASURBVGH5sQfW3dF1JcfIWpadll2KTc1KB5K7QegBfBBYTTLPEslLAYK+1DF7CEHo\nBmYXY+wxbJqZAzH/LADRkZWWjY2J4DcSZ5B2p6T8ClovsD6KB3+dnx3m7VEVn+n/+Q1eZY1XjCnV\nbZNQC09iykpdf8/+Uls6EwvnmPAkRb5XpXh1wLjU+mBmJmKMAG1X22jaLphwgsIWzMiVlE4jcayO\nOwG3sN+wa+lH6Dj3vpNIpYPsMcQa08Ymwmdm2i5vWCivZnYxxpPFPp4s9mHpTWmUIrSU2Y0Y2zpW\n9rXwHeM2O7sRY2JxM28lnkt7eJ4HBYfZFgaFEuHXjWvg1v1B7bpKIttFfhxgKG9fnMNjbBlu0j1R\n/i753rhsQ4ogexvDTLNG5CDOmt9cBPYYYhjX2IcgtJD4TAQ0jKko48DQvLnbXJ6yIG0Xbri+l/3+\nLFvekOl5i27p3b9E+HVTIY60Pzz9nkK/pzpD+OcoVAWMVVq5A9H7ZkB7jnxFUTxuWzzcNrYQw+wR\nmtnii7zL1tUQiWzT2tALwjFWDqJFz4c8oAY1m9pimL2yVigvsW4aCd22F7SwLFOsFeqmiqSEh1hN\nKMaB4R1tbtvaOUhqVw4BVaZ0dzjOSXGdvEd+RqWMYdU3Nfo9ReKy3STGB082+vhYSYcsobmEJ2Fg\nI0PO76E/bc+ghYLp4E2Oz5C3x6ZS8WBhhr27Uo97iLVCN/GOaby9CeBv98HYdFAj5bpwZhDbJ09o\nbIuYnkWlja2zSprmLMsM8zav86HyitgLTSP8CBOh37YX7ELuGU+hcKPURtzNLoXez3P2urutsVmQ\nCL9uqkT4aijvhtkSo7GTcKLjbhV7N9Vuf11WFjqo8nMPxGBNaCROVP8abzHNe1z0P608dlTJrsRn\n0r4A6m0NCYnwe4PS+vd20AtC71CmKxZg/s8J0M8p9i/jDOFKlC80nMRdY5fAh7ZYV3OvLYfeh90h\nkpcCptigNOXTRETwG42TL++U8sxepJzoj4DlX4YFEXmh+SSyMH4ZLL1MfCdSV8o05N8qs01zv71S\npdMoyjU6KWdnIDSF/tWssbIAaYwitIR7wMpClLyx02nvpHcpM1jbXCTCbwTlhB5q+AJ0WizahcWM\n9lhJGj+DV4/gmom+BKHRlDY5IWrGh6zFZeK+CHx0ip21Kc0qgt8I3CmGmj7IThN6h1qPq80XBleJ\nptON62L6KZsbE/YK0vRcaDwxHWNlPWpsuW8DH0J4F2bSkQbcybdGE0TwG8ELhc5M1elUoT8t5f6O\nFl0EVOWZzGtMmxOyyubjwNAJ/ieCUI5h9hiYynA47+XJYh9LvMHepWGYOeueW6cLksNvGb0i9pW4\nV/JoItcx9cslTLN2YlOUIcnvC3UyzXvk4h7UNzVf5F3ThzoePGOBRmt1QSL8unFN4P+o23L1raD5\nBgf9q1lyaaPgln+ZYfbJuF4vbRY3DubOwIdYLAunZvDqEYGNJKm5IKlngsWz1+ui9bogEf6ZOCma\nbUG029E0KeK3I6qXWCfgT7Lpn2CeNxlcOOJF3Ud43gyqPdaB/CUn7LGPQqqmhFPyPW0RnjdpwGH2\nCi84VXh1NRJqjy6I4DeE0nTGeRf6cjTg/+KuhtqG95limD2CV1MMeo9ILga4mH7K7GKMgakMewzz\nKd1H+BHMZmJ8T1tMZDbzu5DyTeEkvDpANL3C7GKMF3VfwbzPocsmNYq1gtBGTpnycQbH58ibUwX8\nSbYOQrALs1Mx3mfKGFhtm5TPS6znuwzlZjywY4yrtg5CzF6KEVVRuTQLZQnPw8BixnxvwDjNuseO\nziT2J33rusxaQSn1HPBrwH8EfAK8B0S01t+rss0/Br5Ssvh/0Vp/vlnHKbSTOvP8rtaNKYJM+DcZ\nvrTHHsPk0h4CVpKH1hVyfg/xuYi5ONwknwraWg+ReBnGiDLkgXtSty+UEJ40LQmLOte5LRCaKvbN\no5kpnX8CDAE/DXwB+BvASg3bfQAMAJ+xH6826wCFTqCONM8OxlZ2DgibvOowe6TiQRPxL4Q4PLDv\n9m6ZdXgHmfks1MT3tAW7sOKN8jh9gf50lsAnyeJS4Lo97Nt7P9kUwVdK/TXgZ4DrWuv7Wuv/A/gv\ngC8qpT5zwuZ/rrX+jtY6Zz/+ZTOOUeg0ajgRPtoviLYj3LsFwQdTmsnt4tdLRV59R7OtY8biVhBc\nhOfhWRUnkTUztj9QRxweeBlmDyu9jP4DZcT/Oi1tXNIomhXh/xTwXa21e7LxbwIa+MkTtv2cUupQ\nKfX7Sqn/USn1g006RqHjqEH0nYoI1yPqXyE0Y9ogRtMrTGQ2Ud+pMjZ1ywz4PrnUZxqh24TvtH0O\nsdBmyllpJy7DynqUlYUoicsmJcgN4Bb062dbfoxnoSmDtkqp/wb421rroZLlh8C81rpsakcp9R8D\nfwocAD8K/BLw/wI/pSscqAza9iJ1yK7jUjpiP3cmw1RK4dhdh4bZY5o10yAdiBzEwe5aJ7NxBTde\nHQDgy3yd3IyHx6sXGFw4Ql3VMFJrTr/WlE5zBm1PJfhKqV8C/m6VVTQmb/8KdQh+mfe7BPwB8NNa\n6/+twjq24P8Y8AMlr45x8g2F0LmcUvhPe4tdeoGw/fQTl13mWDKgK9iEH8GTS318oI4IT8LyhmUa\noKSfmqKARL0TMH+PokoEwMS9/xe0uUrnvwf+8QnrPAL+BOh3L1RKfR/wg/ZrNaG1PlBKPQX+HaCs\n4Bf4OSTC7zVOWcVTa+WEcnkfue8AwjCR3mTLEyI5FSDoSxGOwv7ddg+1CZ1A4jLAkZm/cc14Nzl3\nhuxgvlcVv4PVvkE/yfHANB/hN5RTCb7W+gg4Omk9pdTvAP+2UuoFVx7/pwGFuZzVhFLqItAH/PFp\njlMQ6iXlD6JC2hhijcHjjQsMXT1iCEnxCDYxSE4FCs/vt+9QTktT6vC11r+vlPo2sKqUugH8FeB/\nAN7VWucjfKXU7wN/V2u9oZR6FljA1Ov/CSaq/2XgIfDtZhyn0A00wZOnUptEyDeV1q+ZfqMJ1di3\nFrqb8DwQhSApQt8JkhoNmhec1GBFT/xSZ6f20Mw6/P8E+H1Mdc6vA78NzJas82PAX7V//wvgx4EN\n4AGwikls/Q2t9b9u4nEKHU8LThS7J65lLbO5OkHisnMLL/Qa4ckzbOyD5YyF8mozx+MmRqV2qGGO\nR/trwJo201Zr/f8AXz5hne9z/f5nwH/YrOMRup0muW86k2nsnriOCVs1T32hewnf4UQL7arsQuR2\nnEgsjkK3tAF5IxDzNKGLaFCk7+qYRYJ8T9L3mQLK12ILvcHsVOxMYUNiCYjB8iXr+ItdYKQmgi+c\nP3zAfYitztLvt+sub8BrvMXgwok1CUKXsq1jxNMRhubPtp/9y6YZCiOYtI5zl9gFM29F8IUuozFR\nfsBvJl29xHr+eWQ9zr5E9z3HOPBVvUncH4H78GSx70xR/j1MMxRuYIz5RlwvqiHzeGEIwkMddxEQ\nwRfOH7um/DKU3iKejqCfU3yDV2G3E+oohEbi1MY85IpZsA1+0sT02VI7+3dh0z9RuEN0cDqqjWDm\nfR7rvdzegVsRfKELaYAs7wI3od+fJXEZPlZHzC6eTQS2dUz8eDqE8CS8rjPHX9iB3IyHeDzC0J2z\nvUdwIWVabDo2Ho7Qj1BwdN2lo6J8EXzhXJOb8RB+BEOPMPndM4hAVEWZmNo8c45YOD3HSi1jkIt7\neKwDhB9B7hlPYWb1DrBtBnDD8ydfoMOPivcfnsR8xq4KL65TiOrH7OVOmWYHDeaK4AvnD+cEtCMz\n9bZGva157L/Afp0le2EPDE1CKh0scxsvtAK3KCcug36iCKW3UD9a3i8sHo+grmpiOnZ8Xx778QgG\nLmV4stFHeNIYqM1uxEguBlieskxKZ8y14bb96ECxBxF84Tzi9tLZMY/N1QkG1+ur0AlPAjFQCxrC\nsDxlSvYkvdNi7Attvs9Bjc1u4umIMcujsP1AJsNAJoP6riaX9rDEGzzZ6OPLfJ14OkJoZoto2uUB\neYOC8J9Ym9++b4UIvtCl1JHHV2WqJmxRCK6n4DZ8Sp+ugiM8aXvs3C4si/pXmFnRKK9m6FHx6X2m\nWZ5CHifafl1neF1nUP0adVXzVb1J8lLA/M+vYbqdleK0K3S6od2EialCc/uJS5vk4h6e54H9Zqax\nzuD6kVnmtMsMm5Sg0185j1OqeR1TrSM5fEFoIeWE3s2IOeGXNywGF45OdymJmUg+uREwQuCwbayW\n9y+bS1N43kSOExubRZvLHUB9JO5C0JviJdbzzekJQ2omSGhmC0tvor6lq0f5rpx+Kh7kRd1H+JGd\nlts2+3IuGCH/FsqrSfmDxTYKN0xJL/cxQu8u1RyjULLZIaLflAYorUQaoJxnapBL50Qrl1fftZfP\nAaOmYuf/b+/8Y9u6rjv+OS7aBQ2QtZUnZ5NLVWgWjxqKqJK1brOcZsvkIQtqW4nQJWjXGrBMKdsA\nqX+sBZZOnpwuRYttkAZsligZSbemKQo1irIuXqT9CGZ67SaL1tpNqj3MqjS7jVmrQTOk6dold3/c\n9/gen0nxh/ib5wMQIh8v37u8evy+884995zrc603Lb0fCKXPiz8QgoMbC1xmH4loyIvKAJrf2OSP\npNWm0n0RBtvGiUaHYQmuTu/mrOgCr1xI3kFlev8Z2NO3YYuN+8W9g+396H4BPg4sQ3Pc/pMT8ZAV\n8CWyu2eOY0XevZPw11dwo3VcLrr9yMWkKE0BlJLl0lGU0pNjfh1/XLR7+x2wxgEShNJeGK5tNDGw\nvgVPwuJYD73rMVixKXIvs8+zMH2Ck9gVYuAZuNbXxN7oDS/B1hC0rKvY58IBsqeknnkArh9uZSIe\nYWSXz6eebdLUzZjqCvYFxz3ziL3wJy6EUsU6Az3Ti3yRh+mMx71IILDn0Rnf8ypBBV+pb8warIRT\nV0NCamTFsn290HkQTlrLnXGSxdDXZIuHzAKxll44ASYhrD0H7WaNo8wRfcSu4GQo9RDyYODuuQPY\nb5fmZ6M6kulWjgPYqKfzWax7RoBjeIVI/GSLkAkK8TL2/9hJyt1ayn4CrpnL7GOVsL0r8B/3Yvr2\nlUZ9+Epj4E7SnSa1YIXPz9rOmrXcN3qQVsOe+Q3osMLbzqr9fDfJFbktR0pnqS+YSErkSCNwALjP\nNHkbxp3885l40kbTyPPGpk3wC3g+4ZCn8QR+CM89ZNZu3k/gdaIzxKHOc3YfHWmOa9ZurqxWQdTC\nV+of9/bd/8PzWfjN09Z320mcO+cv2Um7C5A4HULuN7YsT6dtuxA5yGBknKm5ES9mf4DcftBdwAW7\naCcMcCx9zv1W08Ms7fBkah3VemNgNDUz6XlgiT/gWdNnLebH7f/mOq32busYqWO2gr3DYti7g+si\n95TFF527P0gV6oxFTDLgFM3JSMpFoLL3bWrhK42Ha+07HGWOo8xxJ47Y+4tauKF7jvXXeyTG1MkR\n9vRtcNX02IlYv9inswqx+xmfHoT9cHBsgYNjC9YdkYZ21ojGhzk4v4AsGlpabxZ7NyyxVkl39zLw\njE1RnTgRsmPu+NAHx8a5ttHE4Ng43GPvBA6AdbuBt7r1EeeRj8880/8rF5yiOc2RzeSdX7WjUTpK\nHZBjcKPfn+qbyG2OeCE4d3LJTsR2+nyyvh/y+BuDzNJvw/OG8Pz2mURDwtABV+M2MmfgCsiigf1g\nxiQ5Kela8i3rWxxsW7D7B5gBMy92LuE5b5p63En1a+YlaSUPjJLSrlL4o5qSwj6Suk2+axiPDDI8\nF7XWewdMjNkFa4/zqOdWcSZVmzs3SURDLEQO0s4aLetbLLbZC94s/URPDHsdOENpV7g6/1OwkT1H\nmSMaH7YBAdseN5//ikbpKEoG8qyGdZxkxE5z52YyDK8nssi59UM2GifeY32zAVIiQbKJvfveSpiH\neJpzo4cYbLNmqekTZjadCeJjtqDGSHQqtVzecVuFa6IzwvBcNDmBGb4C0RPD1hU15jvWMXvRCM9t\nEX7SbvJHuQwcJjVccSV9uGkuZFpANvMcMA4HHrD/lcW+Hk4xyrknD8Gm/S9Jq4HnYWRpisenH+U6\nraw9ALeeivKqidgQV5cz9pHoCEEXnIqM0s8s7W2rrNJOO/ZvSpRUqdMZmDUcpxyJaIjVSHtq1Fda\nqmMKXl06Sv3jW3hlviyYhFeZPBld4YRrXmuzk4artKdUw0rBdQPk4Q6IdfYif+1MLgJ0WPG7ttHE\nxFiEWfppjmwm5xP8zNIPeJc0t4+A9Wv7WCXMtb4m6w663/CqiXAAK9Byv7FWtDOXsVag2IP9/OJ8\nD3K/ST4m5u2x6IBwyPb3wzxlUxM73zccwlup6uJr/ziPpkbIuHRZf76b5niVdobnoszSb7fNkDoZ\nX2ouriXdfLHOXm/eIG1UTnWIPahLR6kr0lj5ATeO2bKW9aNmw3PbuKLuWmndwJIVmDu5ZFdcuj/o\nQq1H3wKw8fgg7awmXRN72jZIREP0RBYBR0D88dxdYH5DrM//RZvMKxn732VjwfuZ9VwhwcU/zvcZ\nnx7kVokW1v8MDIwCx2wCOnCONUlqH8C7G/KL+XE7xm4RmqT/Pt2k63H7Pd11D1end9NyZIvF+R4O\nRc8l3XKJXaHyJSwLLuoLzuUkKUTwS+PSUcFX6ohtBN/9UQ5Zn31iV8jb7gp+YLVkz7QjwNHe3Nw3\n2ZAwTILplaSV3nJki4l5x53jTiQHrdtJvAVj7hL+4KrS4KpOP0MwHhnkkERLZmt+zizYCe9g7pps\nE5mTtm8AIyemUi+sQWvZPxnrWPzJC4T73sUyib1LOtEvSlSOCn5aVPCVVAKi706wuaFzgRWxgCe0\nrqh3BF77hXingn889ULiWvXJFbvprNt0FuR2+IQxEp+gn1n2SqykjoX7TBOzPGgzSLqin2t/3Qta\ntklPv7i6dy7uxa9SaYj9fUo7h1Bdgq+Ttkr94rcQg3HS/h/lZDh1+0r4JmsyyUp4Z+Ky7CTlci48\nsclee4fh92sH93+RglZsjsetC2cDKx+l5Kxs0W++zAhT9kI5mfUjHrnePfmtfnesKin2Ln6xr3JU\n8JX6J/hjvElQMwiG60Zx7wx2irvk3r+w5yI3p33I9FnITfidZHCz9PNRiuuz346zssVVs5uW+S34\nspNaIp0Q7kSg/RfkHYVfprO8d5i79Ka+VM9krYsKvlJn+EI0g6snJUfr3BUVP9VgSUJ633YG2lkt\ncWduJllEJpPFW4wx9OeqKYhMQpxneO9A2LqVhrK2rBpU8JU6JMMPN1+xcaN2Sr2QJ1+2E32fK2qU\nxzhbnh4lmXnA+vNXCbPQd5BTjBLb1VvmXqQjV2s72G6bC4CbfbWDNHeJ1Wfdgwq+Urfkaa0FMWtw\nJk2elWohnegfd/7ut0U50qVkKActrVu0EAOgfeNh9k7eqIAVXCzBdfeT5lwaoqbEHlTwlbrG/8Mr\nQPyrUej9+EW/w0sCd5Q5pk6OFLyKdqesbdrUxgCzPJjsX/kmNkshuGks/5tcS9Ur9C4q+EqDsI2l\nVkfE3bSex4BT27UsHeeBcAdcG2uysfVlPXI9Hqt4qOArDUYhP9TauEgkToRYnQ7Tux7LqchKqXmI\np4lMT9jEZq51n+vEed7UpgCXGxV8RcnKDucDSoXfh+8Iqlt+sdKsnYJzK4dgBVY32okt93rhp+ny\nE+0IFftcUcFXlJzYTlQqcDFIl3ZgxpZPPI/NcXO+Qi4dsH1ws3v2M8vl+D4vC+aZYlr5Kvb5oIKv\nKDtmh5PDhRJYDXy1c3cyDHOmgmLvZ+AZ2MOjHGWOZyN9qXUGdoyKfb5oemRFKSrnfY8y4WTMPCtb\nNr9+hRkI2Vj8gSu20Ak4mTCjoSKGZ6rYF4IKvqKUjDKI0pAXjjlwGHjRVs+qpPDPbMIrvhq8iXjI\nJoYDm6aig4JyA3mo2BeKCr6ilJQSWvuByVk5aZDHDfKyYWIjkrEqVTkIuxecJbz6tJMUISeRiv1O\nUB++opSFEkX6DEFiKUSi21HYbhjvHGT4ZLSi0TrXNprYG73hbciWwE4pCyr4ilI2iij67irbDlKt\n5mUYvhZl5lRl3TqvyBbNZpMEoZut+qJmuFTyQV06ilJWiixaTn1alkkK656xDVpND7xYudUD54HP\n8yEikQm7oWPb5jnuUdkpKviKUnaKJF5+S9kV/i5IREO28PlIZWVyQ2J0ywiR+ETqG76i8rmhYl8s\n1KWjKBWhBD59nxU9tT7CzHPF3X02gt/Gnbh9lL7UN9wShUVdgKXkggq+olSMIoi+P2NmF1yd3m2f\nz+1st/kycAUOti0ki6486xP5RDSUvqpXBzsvGankhbp0FKWi7NBd4S+i/Qi0nNyi5WT6PPil9Odf\na2siFu+lndXkIqtENEQi7ps5nsFbeJWumHxa1J1TTNTCV5SKk6eln87/vQKchoPTC4Atbzj1zEhS\nVBfHeggfiSXz2xSbh3ians5FhueitPetcmjpnBX1LmxlKGxRFjohttSbuWB7Cir2xUYFX1GqghxF\nP8tk5xd5GIBO4jzb18fRvjlWaScW7yUyP8HU3AhrDxRfSi+zj8SJEIPT40Sjw56gd0NzxIZnXmaf\ntfhd615dOWVHjDGV7sOOEJFOYBk+CbRWujuKskOyiL6EvVKG4ImnMxG6MH0QgEPxc7Ymr2Nds2Sf\nL0QOsiGxHfXOvVgMHHaO2+HkzNmPPeYZp0EH1oWzH7jg9AFyrBHc6Nb9BvApgC5jTLxYe1ULX1Gq\nigyW/naWvS8658M8ZZ+cxl4MurFC61rcEW/v4VFghZyjeQ4At5km7sMurFqc7+HQiXPwbec4FwIf\nWMETeX8fstLoYl86dNJWUWqNZVIWWtFFcjI0ccJJVOa+N4lncS/DKUYJX4EFE0FaDIPz47SaHgau\n2Cbbrc4NH7Y1avfGb9A+ZazYu8dZChzL5Yyz3e0nFCF5mlIo6tJRlKokByvftezTuU1cIfZHwhzH\n86lHQ0k3j/tZ0yvMZCmNOHAYa9lHz3lC7pIp6saNu/ezDFxM59ZR696iLh1FaSDSuHb8MffgCewk\nVlDdqJhMOHcFiaVAfpv99rHY1gNs79+feQ4GTsboGVskNtmbXuRd/7zb13RtutAY/Aqggq8oVUsG\n0fcjYS+tQgfeJG26OPeVwN8OO8nbux5jT9sG7ayxkaVHA4dtiGfsRG/27vuF39+XYMK3JGrdlxoV\nfEWparKEa/pFtQvPpdNF9oVNK9icO222SMlqZ5hsFv61+SYbAZStP5m2+cVfrfuyo5O2ilL17MDy\nNWupjwDRXcMc6rQhnKcY3XZX/stO8/SmXTl7nGRoZt79SUGt+3KgFr6i1AvBidpcLGhXqLvt4qlW\n0wPAXomlSPDAFZs+YW/8Bs2dm94b3b5GBRdcUbEvFyr4ilIPmDU7Ceo+z8bxwOv9cJQ5PsxTHGWO\nfgMH/KL/JOw9cgNOY4uauPH9oCtnawgVfEWpCXJIvZCr4DqJ1oDkYqnmzk2i8WE4DdFHhmnvXAUD\nA+sxWIHBvnE4gXcXsYyXCK3b91ypatSHryg1QxFcH2bNWuMX8OL2HeueC1ghH4CR+BSnGEVeNkir\nsRcDFzcqaMn3KBh155QTtfAVpaYoUg79IV88fzesdrZb4XbDOwcgNtRrF2nFQ16qBj/+VbXqzqkJ\n1MJXlEbEL9BDENvV6wl4YPL1auduItOBMoWZ9pUXat2XGxV8Rak5SlATNx1LcCeXaDm5xSiPpV/F\nq5Z9TaGCryg1SRFFP5NoL0Ms2svg2Dh74zfsNr/o70js1bqvBCr4ilKzFFE0g8LvunWWsBO27oRu\nzimOlWpEBV9RapoSWsqu6F9Isw12kOJYrftKoYKvKEpm/Pnui4KKfSVRwVeUmqfEIjqJl3rZXaHr\npmTQQiY1hQp+Q/Mvle5ADVKtY1Zk0XcTormTtF3YFbXdePn3XfHPSfT/prj9UwqiZIIvIr8vIudF\n5FUR+V4enzslIt8WkR+IyKKI3FGqPipFu09vIOp4zPzC7SubCFgLfxLYDz2RRZuaoZtU0d9W+J8v\nbl+Vgiilhf9m4EvYNXo5ISKfAH4XiAC/ALwKvCAibylJDxWlrtiBle+KtWvZu6UPXdx0CqchFu9N\nLafo/1xW4VcqSckE3xgzZoyZAL6Rx8eGgceMMV8xxvw78BHgZ4CjpeijotQfRXDtzOCJfbBy1hnn\nvUnf+x3YuwF/fnwV/aqkanz4ItIG3A78vbvNGPMK1mn6S5Xql6LUHgWKfrCIyXb35itoTH4NUk3J\n024HDHA9sP26814mbrF/vlOSTtU3P4CsVUyVVGplzN6eX3Pzmv1qYeAxZ9sacAlgPc0H2mx7nDZ/\n6nvrkr+d+9n/AVapjbGrBpJ6dksx95qX4IvIp4FPbNPEAGFjzOUd9So/3mX/nNm2kZKJT1W6AzVI\nnY7ZJQJinUP7dM8z0p9XdxTA6ts/F2tn+Vr4fww8kaXNlQL78hIgwB5Srfw9wMVtPvcC8CHgW8AP\nCzy2oihKNXELVuxfKOZO8xJ8Y8wWsFXMDvj2vS4iLwH3Al8HEJHbgPcBf56lT18oRZ8URVEqSNEs\ne5dSxuG/U0TuAlqBN4nIXc7jVl+bb4rIEd/HxoFPisgHROQ9wF8CV4H5UvVTURSlUSjlpO0pbFil\nS9z5+yvAPznPfxb4SbeBMeazIvJWYAp4G3AOuM8Y86MS9lNRFKUhEGNMpfugKIqilIGqicNXFEVR\nSosKvqIoSoNQk4JfSGI2EXlCRN4IPBomo5MmsysMEXm7iDwlIt8XkZdFZMYfeJDhMw13ronI74jI\nuoi8JiJfE5HuLO3vEZFlEfmhiFwWkY+Wq6/VQj5jJiLvT3NOvS4izfkcsyYFnwISszmcxcb13+48\nHi5yv6oZTWZXGF/Arj+9F7gfuBsbVJCNhjnXROQ3gT8BTgLvBf4Ne57sztD+XcBXsGlU7gIm0GNN\njgAAA15JREFUgBkR6S1Hf6uBfMfMwWADXdxz6qeNMYm8DmyMqdkH8FHgezm2fQJ4ptJ9rvQjzzH7\nNvAx3+vbgNeAD1b6e5RprH4OeAN4r2/brwP/B9y+zeca6lwDvgZM+F4LNpz64xnafwb4emDb08Dz\nlf4uVTxm7wdeB27byXFr1cIvlHtE5LoT//8XIvKOSneoWtFkdoD9ni8bY/wrvf8Oa2m9L8tnG+Jc\nE5E3Y7Pn+88Tgx2nTOfJLzrv+3lhm/Z1RYFjBvaisOK4WBdE5JfzPXYjCf5Z7LqAXwU+jr1iPi8i\nUtFeVS+FJrOrJ24HUm6ZjTGvA99j+zFopHNtN/Am8jtPbs/Q/jYR+Ynidq8qKWTMvgMMAg8CDwD/\nDbwoIsEcp9tSNdkyS52YzRjzJd/L/xCRbwD/BdwD/GMh+6w0VZrMrurJddwK3X89nmtKZXF+w/7f\n8ddE5N3Ax7Bu2pyoGsGntInZbsLY3D03gDuo3R9hNSazqwVyHbeXgJQoCBF5E/AO572cqJNzLRM3\nsL7lPYHte8g8Ri9laP+KMeZ/i9u9qqSQMUvHvwIH8jlw1Qi+KWFitnSIyF6giRpOpF/KMTMFJrOr\nBXIdNxH5KvA2EXmvz49/L/ZCmHM183o41zJhjPmxiCxjx+U5AMd1dS/wZxk+9lXgvsC2Q872uqfA\nMUtHB/meU5WerS5whvud2HCuUeD7zvO7gFt9bb4JHHGe3wp8FitWrc7AXsCWeHhzpb9PNY6Z8/rj\nWGH8APAe4FngP4G3VPr7lHHcnnfOlW6sNXUJ+KtAm4Y+14APYsuhfAQb2TTlnDc/5bz/aeBzvvbv\nwlZE+QywD/ht4EfAr1X6u1TxmA0Dh4F3Az+PTTT5Y+CevI5b6S9e4GA9gb0lCj7u9rV5HfiI8/wW\n4G+xt0s/xN6un3YHtxEe+Y6Zb9sfYsMzf4CNpLij0t+lzOP2NuDzzkXyZWAaeGugTcOfa45ofwsb\ntvtVYH/g3PuHQPu7sUUSX8MaEb9V6e9QzWMG/J4zTq8C38VG+Nyd7zE1eZqiKEqD0EhhmYqiKA2N\nCr6iKEqDoIKvKIrSIKjgK4qiNAgq+IqiKA2CCr6iKEqDoIKvKIrSIKjgK4qiNAgq+IqiKA2CCr6i\nKEqDoIKvKIrSIPw/S8PccwUtrl0AAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f81b1fab160>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots()\n",
"ax.set_aspect(\"equal\")\n",
"plt.contourf(np.real(C), np.imag(C), calc2(C), 21)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Cythonを使う\n",
"\n",
"`count_diverge`に高速化が必要"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"%load_ext Cython"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"%%cython\n",
"def count_diverge_cython(complex c):\n",
" cdef complex z\n",
" z = 0.0\n",
" for n in range(100):\n",
" z = z * z + c\n",
" if (z.real**2 + z.imag**2 > 2):\n",
" break\n",
" return n"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"calc3 = np.vectorize(count_diverge_cython)"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"10 loops, best of 3: 21.7 ms per loop\n"
]
}
],
"source": [
"%timeit calc3(C)"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.contour.QuadContourSet at 0x7f81d882a4a8>"
]
},
"execution_count": 14,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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yGeu/1Ldv3wzU27p4m4Z6X7Vi4bcFR1nMjRbfJtcFuQ7cgGR4kA/VAfsz5oun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\ngq8oitIi/D8a6XD7mS7aPQAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f81d882abe0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots()\n",
"ax.set_aspect(\"equal\")\n",
"plt.contourf(np.real(C), np.imag(C), calc3(C), 21)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Numbaを使う"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"import numba\n",
"\n",
"\n",
"@numba.jit\n",
"def count_diverge_numba(c):\n",
" z = 0\n",
" for n in range(100):\n",
" z = z**2 + c\n",
" if np.abs(z) > 2:\n",
" break\n",
" return n"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"calc4 = np.vectorize(count_diverge_numba)"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"10 loops, best of 3: 60.6 ms per loop\n"
]
}
],
"source": [
"%timeit calc4(C)"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.contour.QuadContourSet at 0x7f81aa414dd8>"
]
},
"execution_count": 18,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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N0/w7bBH8RqP3C/nlMw3mCBUpd2LtQDweIbkYIOwx5ZfhydYfmnA+CE/Ck0wf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\nKEqDoIKvKIrSIPw/S8PccwUtrl0AAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f81aa3f4198>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots()\n",
"ax.set_aspect(\"equal\")\n",
"plt.contourf(np.real(C), np.imag(C), calc4(C), 21)"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"array([[-1.50000000-1.j , -1.49215686-1.j ,\n",
" -1.48431373-1.j , ..., 0.48431373-1.j ,\n",
" 0.49215686-1.j , 0.50000000-1.j ],\n",
" [-1.50000000-0.99215686j, -1.49215686-0.99215686j,\n",
" -1.48431373-0.99215686j, ..., 0.48431373-0.99215686j,\n",
" 0.49215686-0.99215686j, 0.50000000-0.99215686j],\n",
" [-1.50000000-0.98431373j, -1.49215686-0.98431373j,\n",
" -1.48431373-0.98431373j, ..., 0.48431373-0.98431373j,\n",
" 0.49215686-0.98431373j, 0.50000000-0.98431373j],\n",
" ..., \n",
" [-1.50000000+0.98431373j, -1.49215686+0.98431373j,\n",
" -1.48431373+0.98431373j, ..., 0.48431373+0.98431373j,\n",
" 0.49215686+0.98431373j, 0.50000000+0.98431373j],\n",
" [-1.50000000+0.99215686j, -1.49215686+0.99215686j,\n",
" -1.48431373+0.99215686j, ..., 0.48431373+0.99215686j,\n",
" 0.49215686+0.99215686j, 0.50000000+0.99215686j],\n",
" [-1.50000000+1.j , -1.49215686+1.j ,\n",
" -1.48431373+1.j , ..., 0.48431373+1.j ,\n",
" 0.49215686+1.j , 0.50000000+1.j ]])"
]
},
"execution_count": 19,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"C"
]
}
],
"metadata": {
"anaconda-cloud": {},
"kernelspec": {
"display_name": "Python [conda root]",
"language": "python",
"name": "conda-root-py"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.5.2"
}
},
"nbformat": 4,
"nbformat_minor": 1
}
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