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@xiangze
Last active November 12, 2016 07:07
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{
"cells": [
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Populating the interactive namespace from numpy and matplotlib\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"WARNING: pylab import has clobbered these variables: ['plot', 'plt']\n",
"`%matplotlib` prevents importing * from pylab and numpy\n"
]
}
],
"source": [
"import numpy as np\n",
"import pylab as plt \n",
"import matplotlib.cm as cm\n",
"%pylab inline\n",
"from ipywidgets import interact"
]
},
{
"cell_type": "code",
"execution_count": 34,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"N=5\n",
"delta=0.1\n",
"xs= np.arange(-N, N, delta)\n",
"ys = np.arange(-N, N, delta)\n",
"X, Y = np.meshgrid(xs, ys)"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def fmesh(f,xs,ys):\n",
" return [[f(x,y)for x in xs] for y in ys]"
]
},
{
"cell_type": "code",
"execution_count": 35,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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IiAU4MuMUcWoRN0R+x0NP5lAU35ad28ew57e9wQkcOAmzN+gdVTSw8Cz4OpFH8oQQjYF5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Ju0qyHtalS09jSf6uxYCV5GCBh7H6/4/sWiNlPYZhrE6tf/j4aBF4laDT4esC6zHzxV\nsNxuahY0CICLl8sePv3xsh9DFT232+DMz/CHAHcA9xf8utwKHNRBdYLdpF0NaVejorWbLqRyOQs6\nVoe7RyznwRHL//u9pAjYONdARo6VWwLgodcW4GPMIHt/OizZpl0uN8ABy+12ddxKqC6n53YbnDVL\nvzawDxgGpADxQEfgeu8RXTtLH0o1U1+W1xVCiGv18h9N5axsxgSD5+1wYS/EHTARGWkm0ww1veHu\nu03EP9CDYzF1eWfJJE5nB8KUenCzv+p8UVSIjW0KZ+kbgG+BuQV33NgJ9yGEEKIEDi19mXZ3T2PO\ncvBeCfkWyLOa8TTCwObQcw5gMBPENvr1grG9fsFzSR58ZIBPgRrF3YPQi9J8hv8B2uS7G321AiYB\nfgX7X63YdxPu2gzBW676egF6Pgor/y6837od2veK+nJiNOtDTxfadiw8nfeCI0hPzi20ffHUOJbP\nOF5oW9KpLN4LjmBozCeFtp+YvYaYKQsLbcvPzCEseDop26ILbT+7ZKvNz9oiRn18zUpZSev227zk\n5aGJX5EQuqHQtrTweMKCp5ObnF5oe+zUpRybsaLQtqxTSYQFTycjpvCfhTwOeRzyOCre40gb0onj\n30/EL8AT/yomAnzh/t7wxhro+TmcSfJk1VOwdZKByLeN5O/JJ2WMP2Sa4UPL/w68d53ty8XOmgir\nQwtvOxqu7ZuaXHj711NhcZGLpSSe0vY9GVN4+/LZMHdK4W3Zmdq+kUUWIdqwxPbn7SGjrl0tT++P\nI3EJRAZDWE/YVkf7dezka29jQ2ne0g+k+H/rHQeWAfcAV1+JwQPIBxYBtmZBlPktfVD3tn7Ktmhq\n9L7JYfftStKuhrSrUeHbzdl8vvt1Gl9JIGY9rP0M0nPBw/C/a+fU9oGnh4OxWy68Z4Eea7Vz8lvV\ns+8+I7fBzb3L1q2KO7aH2NjmhKvlJQNHi/nKA55HOwWvQ8HXXQW3Hwm8VYr7043jM/W73rK0qyHt\nalTodrOZm5KO4B+TwFf3w7KPIDMPWteAgCbtOV25F+e823A+GzZuhGfumA3VMuFKDrz9k/33u2Rm\n2bpVcsf2EPtv6oqldRvjgkl7oO4Vfn5mDh46XZFK2tWQdjUqevuouJ+odv9SDiDi+bkAAA50SURB\nVEZqC/D4egdwW+eLNG31F6+mv8vL920j9FEzeVfA8/GnmNRoPnQ1w5NfwsgeENyl9HeanQk+vmXq\nVsZd20OK/N4Jr/DLolxfaFmvTyAg7apIuxoVvX2ltTeRB6CGN6zpsIDxlm3sadmesO6P8uaDm/Ay\nmUlPh0Af+CnxQegNeJugfg24nG3fnbrjgFlSem63wRVr6Z9A+wxfCCGEQpX3xYEBBjeCCf8ep70U\nM4DFAkcXw1/LwWyBZgGebHlpAKb0dMxrD8HuWHj4VtX5oozcey39GcXvIoQQomRSHuqDxQrhiZC3\nHXI8jBycDb9NMLBqMVzKhNb+UP8hL/441Z9xK2bhtzYZRg/WFuIRuubeA75CE5hX4n2LnsqjJ9Ku\nhrSrIe1w8b4eRKfBjHfhs8EWVq+ByJNWrFYY0AIe+BGC+l3hzlqb+GJUCAmzH4EtXWEd2kn8pVX0\nlDQ90XO7DTLgO4BPUE3VCXaTdjWkXQ1ph7ifp5AxdQTVqnlRpbIHAT4wrCtMWQ09Z0OSxYe1E43s\nftHA2S8NVDmZzmcLnoFQK3jYMWTUCnJItxJ6brfBFbP0S8L2LH3QzUx9IYTQnexMlv/1OD6eZvb9\n5MHWhflcztNeCVoATyO0rQZD5oD3RAu03QLB9aF7c9XlFVtIkd+72Sx9IYQQ7sRsZsyxH0k7Yub/\ngmHNgnxy8qF9XQPGXndzybc9PlWrsj8FLB9Bk5HRcCEV5q6D3/aprq/YQuy7mQz4QghREZlMtD8f\nya//gSu50CHQg241oM1XAbzncz89ns/n2a/TMRrgj+OQsKMpzB0G93aDH7YVf3zhdmTAd4Cia1nr\nibSrIe1qSHtha7bW43ya9rb9W9ZdzE8dRl54LgmTXmBk/8OknNP2q+kL5vdN2onc9aqDyQPOp5bs\nToquLa8nem63QQZ8Bzjy6veqE+wm7WpIuxrSXljajgy8PWDYnXBwcVeW/v4r7bqnE+CbTtjHsHAS\nYIWcoNZQ1QR5VvhxJ9StDrVLeOncL191eLfL6LndBndZEKcuMH58c6hbqch3SnndgiN1mjmqiS6E\nsY/il5KsfmtrPP0rO+x+XUna1ZB2NaS9sByTCf+fdxFwBQI7QF41CJ8OG7+AqGgwGKBnY19ufy8W\n9sbDNxvhVDJMGlzyAb/9reBXwn3djTu3b7rq17nn4Ox8gPnAuevdxP1n6UOpZuo7cpY+yEx9IUT5\n1rvKQ1iv5GI0/G9AMFuhiic0qF6L+5OehUFt4dhF8POB4M4woJ3SZkHhiXsVdZZ+8IF1qhOEEEI3\n9uz/BMOwjvh4GahayUhtH2gX6MPU+m9z/+XJYK0CW+Ng4M0Qcr8M9jpW7gZ8IYQQJZfbrC7bVvyb\n9Vk/83vK92QCUcnZrJ33A+32dIfg0ZDTAOr6QzV9fhwiNDLgO8CxGStUJ9hN2tWQdjWk/QYsFvDy\noVLrQCxWaDjvGC+3+ZLmM5Kg92iY+od9x12s44ui6LndBhnwHcCSmaM6wW7Sroa0qyHtN2DUhoMt\nHz4DwPa/YGDkJjq23AujDVApGCJPlf642ZmOrHQtd24PKf1Nyt2kPZCJe0IIURYDq4wkPSOf0V3g\n8JZ+PBP5LWcH+cP4eBjaSXWe+EdIwX8r6qQ9IYQQZbMx+guMBlgWDgPe30SPjpuhvi9cvKw6TZSB\nPgb88vUxihBCuDVzg0AyQkaQZ4Fls2Bq3FQYBVzMUJ0mykAfA76by01OV51gN2lXQ9rVkPaSi3p7\nNAEN/Ui4AnnDTzBg3Fo4k1L6A6UmOz7OVfTcbkO5HPBdfS5+1BOfu/T+HEna1ZB2NaS9dNbELcAA\n7D0Nj/gtgn2nYP+J0h1kxhPOSHMNPbfbUC4HfEebwLwbfr95yCgXlTietKsh7WpIeyl5eVLN10BS\nDgzauAH8X4bJC+FydsmP8XiI0/KcTs/tNsiA7wD+nZqqTrCbtKsh7WpIe+nl92yGxQrm2ZfgTh/w\nexrj/TNLfoCWOp7Vr+d2G2TAF0IIcV2bP58EQEQkEJwHjetgYTCM/FRtmCj1ufgy4AshhLiu3FYN\n8DTC8TQYNvxHmAL4dIXENPhjv+o8UQoy4DtAQugG1Ql2k3Y1pF0NabdPTT+4nAcLv36CJp0PwjAD\nVBoK6yOLv/HqUOcHOoue223Qz4BfynPxXTlTPz38uMvuy9GkXQ1pV0Pa7XPmsQFYgXVv57Eyfzg+\nwy+Dd3tIuFj8jY9ed+E396fndhv0sbTuP2SJXSGEUGJg4MOkX8whuAnsiXiYCW8vgnnvw7q3VKdV\nbCHI0rpCCCEc568ToXgaYdVxGHH/Yh5451vwcOyLKuFcMuALIYQolsWvEpEb38EK/LYTQi68B7e3\nB7NZdZooIRnwhRBClEh633ZUqWLi7BVo8l083GyAmatUZ1VsISXfVQZ8BwgLnq46wW7Sroa0qyHt\nZZfw7BAsQMwyaHBnPGw8fOMbvBHski6n0HO7DTLgl8L1ltgNem6Ii0scR9rVkHY1pL3sjvxnNAZg\nz2m4p80KyDVDxg2W2h3xnMvaHE7P7TaU6wHfVafm1RzU0SX34wzSroa0qyHtDuDlSWBlSMyCyX/N\nBmN9eHf59ffvquOJfXput0FfA34pz8UXQgjhePl3tsUK5H92Hu54AnbFQWqG6ixRDH0N+EIIIZT7\n6wNtTZK4OOi9aB20fg0e1e+lhysKGfAdIHHlbtUJdpN2NaRdDWl3jNwW9TECZ9NgQeoEWvwaDcbR\n8M2ma3feutLVeY6j53YbZMB3gGMzVqhOsJu0qyHtaki74/hWMnIhG+qMOUlotXHUXmmFJUB2kfPy\nF+v4s1i9tJdwEVhnDfgnAEuRr1eddF8uZWumvndNfwUljiHtaki7GtLuOGFLXsECfL0PeoeE80rf\n9+GV22DCV4V3rFZTSZ9D6LndBmcN+Fbg30Cdq77mOOm+bsiVF9ERQoiKInVYdy6OuY30PNi3Cu6K\nX0eV7hfhYrrqNHEdznxLPwO4cNVXZnE32P+nE2uEEEI4VNyCZzF5wPqz0PyzeFp1iwJzI9VZ4jqc\nOeC/DiSjXbnnFcDDIUfVyUcqQghR7plMJEx7iDwLrP8BJvjOA0ND1VXiOkxOOu5nQBiQAtwKTAfq\nAi/f6EYngfCUEhw9unQxx/Id+xZTGvGFfp+6J5a08Pjr7O3epF0NaVdD2h0vamAnfP61hFUX4YFn\nlkH1RwpfR/7wHv1eV14v7SdLNigaSnHIDyh+4l1r4KiN7WOB+UBlIM/G9+sCe4H6pegRQgghhCYa\nuB04d70dSjPgBwI1itnnOLYH9LZAFNAKiL3ObesWfAkhhBCidM5xg8HelUYDZsC9zisRQgghhN16\nAJOBDkBTtME+EfhGZZQQQgghHOsWYCdwCe1UvIPAa4CnyighhBBCCCGEEEIIIYQQQgghhBBClNoJ\n9H/hHW9gP1r7zYpbSuo3tLWPsoCzwHfo4zTJxkAoEI82ZyQOCEE/c0beAnagtV9S3FKciWh/P7OA\nXUBXpTUl1xdYBZxB+zs5TG1Oib2Btj5JOtrE5xVAS6VFJfcMcABIK/jaAQxWWmS/19F+bmapDikr\nd7w8rttceKcMZqI9uejJ38ADaE8o9wHNgF+UFpVMK7T1JJ4G2gAvAhOA91VGlYIn8CPwheqQYowC\nPgamok3MPQD8Cejhc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"text/plain": [
"<matplotlib.figure.Figure at 0x1078fcbd0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"@interact(a=(-10, 10, 2),index=(1,5,1))\n",
"def plot(a,index):\n",
" f=lambda x,y: (y**2-(x + a)*x**2)**index\n",
" plt.figure(figsize=(6,6))\n",
" ticks=range(-5,5)\n",
" plt.xticks(ticks) \n",
" plt.yticks(ticks) \n",
" interval = [i/4 for i in range(30)]\n",
" CS=plt.contour(X, Y, fmesh(f,xs,xs),interval)\n",
" plt.clabel(CS, inline=0, fontsize=10)\n",
" plt.contourf(X,Y, fmesh(f,xs,xs)) \n",
" plt.grid()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"参考\n",
"- http://qiita.com/hoxo_m/items/5ca984d9dcac16090223\n",
"- http://matplotlib.org/examples/pylab_examples/contour_demo.html\n",
"- http://qiita.com/y__sama/items/654ed8ab7464718876f9"
]
}
],
"metadata": {
"anaconda-cloud": {},
"kernelspec": {
"display_name": "Python [default]",
"language": "python",
"name": "python2"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 2
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython2",
"version": "2.7.12"
},
"widgets": {
"state": {
"69dea5748a2e4549a1ad83871b085d02": {
"views": [
{
"cell_index": 5
}
]
}
},
"version": "1.2.0"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
import numpy as np
from matplotlib import pyplot as plt
xvec = np.linspace(-5.,5.,100)
x,y = np.meshgrid(xvec, xvec)
f=lambda x,y: (y**2-(x + 1)*x**2)
plt.figure(figsize=(6,6))
interval = [i/4 for i in range(20)]
#plt.contour(x, y, fmesh(f,xvec,xvec),interval)
CS=plt.contour(x, y, fmesh(f,xvec,xvec),interval)
plt.clabel(CS, inline=0, fontsize=10)
plt.contourf(x, y, fmesh(f,xvec,xvec))
#plt.axhline(0, color='white')
#plt.axvline(0, color='white')
Display the source blob
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{
"cells": [
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Populating the interactive namespace from numpy and matplotlib\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"WARNING: pylab import has clobbered these variables: ['plt']\n",
"`%matplotlib` prevents importing * from pylab and numpy\n"
]
}
],
"source": [
"import numpy as np\n",
"import pylab as plt \n",
"import matplotlib.cm as cm\n",
"%pylab inline\n",
"from ipywidgets import interact"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"N=5\n",
"delta=0.1\n",
"xs= np.arange(-N, N, delta)\n",
"ys = np.arange(-N, N, delta)\n",
"X, Y = np.meshgrid(xs, ys)"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def fmesh(f,xs,ys):\n",
" return [[f(x,y)for x in xs] for y in ys]"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def arithplot(f):\n",
" plt.figure(figsize=(6,6))\n",
" ticks=range(-5,5)\n",
" plt.xticks(ticks) \n",
" plt.yticks(ticks) \n",
" interval = [i/4 for i in range(30)]\n",
" CS=plt.contour(X, Y, fmesh(f,xs,xs),interval)\n",
"# plt.clabel(CS, inline=0, fontsize=10)\n",
" plt.contourf(X,Y, fmesh(f,xs,xs)) \n",
" plt.grid()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"https://commons.wikimedia.org/wiki/File:CubicCurve.svg"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {
"collapsed": false,
"scrolled": false
},
"outputs": [
{
"data": {
"image/png": 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VNXHNWu7gy9r6KLFvGTU3GDu7OwHZpW+kYi+EEAC2YpUVCRlo4Y/CNDO/++sS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\nBYZH0vWfSUQnx518IwNQRbG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ye3T7tcjbCGYzA0llNBDkWmBDZ77TqeBQzdhrg7FVh+B0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GAAAg\nAElEQVR4tw83am4wdvb6+Kvg90A7MnUfsB/oA7wFRAAT/bRNZQ5OX2TYN0DJroZkV+Nc2Z1OJ3mL\nTnHkkyKObyqjMr8HeHpDRFu4MhL6Wol75ggX9sqhc3w6w0NfpnfJbvoe3EX8tjxCnnVTuBN+yoEv\nT8GxMihznXl+uxViu4cR/scUEv6Q7PVc9p9OzzRk8TFqbjB29voEsmnvMeBBILWerxm6ac9V6sAS\nHqI6hk8kuxqSPfDK850c+fAYhesrObXTQckhKx5HbzB1AXMi9I+E/lbo6CbhoqO06XqE2Nh8Lgld\nT0/LPnod2UWXnENE7ynEvtxD2R7YlQMHirT56osqweU5s73QEIjoHUnY2GRi70zC2srerPyOUhch\n4ZZm/hQCz6i5wTjZg7FprxVwPIDbCxgjvvlVk+xqSPbmcxY7KdhURlF6GSW7HJTur6DiiJOyPBdu\nRwK4uoA5GSxxYIuEXiHQxwJ9zHCFkzY9DxOfcpzI2Bx6hq3kAutO2rmyST3xM51zson+sZCQb1yY\nd0JeFuzLgxUl2l3nTtUp7jYLRCZasV2XQMzt7YgcFaf7eXgjFJ76GDU3GDt7fQJV8LsC44FHA7Q9\nIUQdzmIn5UecVBxxUnHchavMjavcA+VunOUePJUecIHH5cHj9OBxNf6cULW+p+p73eBxe/A4wV2h\nPae7Aqh043J4cDs8uCs8uB1uPA4PrnIP7nIPnoqq5ZXa9zgrLeCKA3cMmOLAHA2mKDBHgSkMTCEQ\nZofOVkg2Q5IJRpkgGqxx5cR1OEGrtgVExhYREpFLR/vPdLfuJ9mUQ6wzn855h0jKzyMm5xShS0ux\nbgZPJhQchcwT8G0J5JVpN6Epd2mXyFWzWSAiwYptZByRN7Yh+sZErJHS/yyCn7ev0ueASY2s0xPY\nW+PzZOAr4GNglpfbE0LUUJ7v5NhnJzmxuoSSXQ4cuZU4S7Ti6XYCbk9VdUoEayKY48ESc6ZImkLA\nZEP71TeDyYJ2Zs8MpuoRqYkzZ/tMVR/WPPtX50ygFQg1QShgr/FxGFXLTBACxFR9zY72ub3q67aq\nj63VDyfh8SWEx5YSGlVGaGQZIRHl2EJOYbOfwGIrJ9GaT4rlEK3NecSaCojiFOHOUyQVHqV14XFi\nTpUQfrwM+09lWH/0YD4IpnwoyoPDBXCkGDY6oKACTlVo59qdntq7ZTZBaJiJmE5h2K6KI+qaRKJG\nxcu18MKwvD2HnwDENbLOQc504rcDvga+Be4+x/cMADbb28TQaki3Wl9w5J0k9fGbaXPT0NPL8pZt\nJeuVJQz8/C+11t0x7i2iB3Smw71XnV52cssB9j/9EX1mj8OeEH16+b7JH2IODyH18ZtPLyvLymPn\n+LfpMf1OInu2P708c8aXlGfl0fP5u04vc5U62Hrri3SedBPHPtt0+muH568lf9k2+s4ZXytb+ph/\n0u62y4JuP3ZOmEXZgWN0nnRTrWYmI+wHcHpfav5/GGE/dk98h9CUxAZfV/Gj/4fjq+Io2lxGxTEX\n7vJtwEGw/hXs3cDSWhvtlt4FttvAfrN20uwCwLMM9r4K93x+puhagXnjoNMAuOLeqt/8SuxHN+D+\nzxRi/zYde5sIrDYXVruTgldfxhIRSptxd2K2uDBZPDhzc8j+y0tY42NIfXWS9jeCycPRNxfgyD5G\n56n3YTJ5MJk8uMrK2fPbKfR87Fo6XZZMuKmYCErJnL+JrBX7uX32cEKoIJRy7FTw+q3fcvmt7Rh2\nfSsiHSXEFJ9i+1f5fPROAR+8EEFIRQVWpxNrcTmPTIMB4fD7NkAhcAq+OwKTM+EvrYBKKKzQzql/\nVA4mN1yCdgh+GTAE+BK4GmhjApsNQqKtrI+yUhhn47eTOhM9Og5rKzuOUhfP37qdX07qVKt5a838\nXNKXHefhORfWeq1MH7ON4bclcfFNrc+81pbl88Urh/jr5/1rrfvGuF2kDoji6nvPvLYzthQx/+kM\nHpp9AdEJZ875z5u8nx9Xn2DqmiFnXq9ZZbw5fjd3T+9O+54Rp5cvnpFFXlYZY5/vcXqZyv1YMO3g\n6SzzJu8nJNzCrx7vbIj9eOl32ykpdNX7/6FqP9bMz2XN/COczKvg2MEyug2JoaSwkp1rC6GRc/j+\nbNpLBlYD3wO/pfZRsboM3bSXOeNLOv3pOtUxfCLZ1aiZ3el0kvVKAdlvnKD0YAWeCg9Yu0DIJWBp\nA+ZwwKydGBtigo5ALBDiAQuYrOW07pBPTJsTRESXYA+rwGpzYra4MZm1AhxKMW05SiJ5tOIk0Zwi\n1FSGnQpsVGLFiQU3FlyY8GDGjQkPJmcloY5KQh1lhDoqCK1w8OHbBdx7exiWSic2pwuLy4nF7cbi\ncmNxuzG53VjcHkweNyYPmCqdmArBlAemAjAVAsVVj7KqhwOoBGcFnCqFIoc28i6u1M6XFzuh1KmN\nxB1Vjwo3ON3gbuBnbAIsFrCHmLDFWDF3CmOtxcw1t7clfFAMYf2iDDVaXzwji+v/lKI6hteMmhuM\nk72pTXv+KvjJaCP7TOAuav9OHqlnfUMXfCG85XQ62f3IUQ6/U4DrlBus3SF0BFhbA1boZ4JRQJKn\n6rC3k449M4ltl094ZClWuxOT2UM8R+nJbtqbDtOKk4RRhs3jxIQbW3k5rY+foNXJIsLLyglxVGB1\nurC6XJjdbsweD3g8mE4COUA+p0fM1YXYVFWIcQKuqocb3C7t3HZJBZRVFeJy15mCXF5dmN1aYa6s\nKtCVbu3QubPqX1fVw+M594igmtkEZjNY7SasERYscTboEIqlUxghncKwdwsntFckoT0jDFXMhWgO\n1V36V6NdftcFyK6x3AO0rLZHIbyw+8nDZL18AleJG0JGQsggaBUBg03aNFVJHq249zlIYsoRwiLL\nMVsq6Mke+pm2E89xwj3lWFwO2uUco3XeCSJLSrBXVGqF/JQH9gE/ayNqTgKlnC7aJRVwzAEnK7RJ\nYEqcUF6jYDtqFOZKt1aMnZ6q1gBPw6PpxpjQWgTMZjBZTJhDTJjtJuwRFkwxNoi3YYm1YWllxZpo\nx9raji0pRHt0CsPeIVQKuBDN5K+CP7fqIcR578hnJ9n5YA6OXCeE3QAhfaGtFW43wQUerBHldBu6\nh9i2x7GFVNKbnxhq2kgchVgry0nJOkzy4WNElJZidbm1ltjvwZQDnAJ3BRQ6ILtEu7PaiapD4dWH\nwKsLd1NG0CYzmMwmzDYTpnAzpnALpggz9nALpnAL5ggLligr5siqf2OsWKKtWGKtWrGO0wq3NdGG\nLdHu9eQyQgj/kd9GHRTvzq7VVGYkkt1/fvxjNjlvnsBj7g7hD0NCJNyrFfnQkk30/o2LyNgiupn2\nMNL0DbGek0QWF9Frz37iCouwlLphPZi2AcfBUQ67iyGrBHLLoMChFfW63eVQNZq2mzC3smJNsBMS\nb8OaYMfaxo4tyY4tORRbuxBsyaHY24dgbmVt8nXj2btLajUlGYlkDzyj5gZjZ6+PFHwd7Jn03lmd\n3UYh2fX3432HyHm7AI99FERfAheY4U4wtSqn3xVbiUk8SeaNj/L4A12Iqiyk174MknOPYXW4YAmY\ntoKrCA6UwO5COFSijdorax5PN4ElyoKtfSjhncII6RFOWL8owofEENIj3K83X5k7ae9ZHc5GIdkD\nz6i5wdjZ6xPIqXXPxdBNe2VZeYSlJKqO4RPJrp+dE3LIevk4HvtICLscrjPDNRDX4Qg9h+0g3n6M\nW0z/Ib4yj6i1+xjqycN61I3pA/AcgROlsCkf9hVpl5VVD9xNVhO29iGED4wmckQskVfFE9YrUtl+\n5mWVkZgSpmz7zSHZA8+oucE42VU37Z1XgqnoeEuyN9+xr4pIvzkLt2cExFwGY8xwKXQdvIN23TO5\n2rSafmyj/eFseu/NwL7XiWkRuHJhRyFsPg45pWdG8Ca7ibBBUUTfkEDsbUmEdguuQ4pGeANsiGQP\nPKPmBmNnr48UfCF8VLy/nA0XH6DyZHeIfBL+YIF+Tvpd9T0JrY9wp+kDUk5lMmj7TiKPlsIH4M6A\nb4/BjwVwrPzMKN6WHELcVXEkjEshYnDjt0oVQghvScEXwgcbr8rgxMpQiHkUbgiFXzoZeN162sdm\ncrvpY1Lyf2bA9p3YVjkxLYfsAliZCz8XVxV5M4T2iST2trYk/ClF5mIXQvidXNiqg4xpC1VH8Jlk\n907xnnJWhG7lxMZboO94eCmU1Gd38j93fMbjcc/xtyPP8ssVXzD02e1YHnXyzSx4fgvM2geZxWDr\nFkb7N3qR8Y+u9Np+CW3/0sVwxX7BtIOqI/hMsgeeUXODsbPXx1jvNEHKXepQHcFnkr3pfrzvENlv\nWaHVUzDRSquhR+kzciu3mufTt3A7F2/ehuUzN+61sOKw1oDn9IA51EzsLa1pN6079vahAFRM3h/Q\n7HpylDbxNnpBSLIHnlFzg7Gz10e69IVoRHm+kzWdd+Py/BYGd4b7nAy9YR1pEYsYVrqRYd9vIWRh\nJaWr4atDsOukNtGNJdpCm8mpJE5I8etlckKI85t06Quhg6w38tnxIJDwvzDZQuqonQzpuZ7bXe9z\nxbqNhC9z4FwMi37WGvE8gK2tnaSnupD4YPDfdEMIcf6Qgi9EA767fD+FP1wO115M2INFDLpmPWOt\n73L5vu9IXZaFZzYsz9YO3bs8YG8fQsrcC4kaFa86uhBCnEUKvg4q8otq3RPdSCT72crznazuuBss\n42BiHF3v2MHo7l9wY/kiRq7egO3f8ONPsDhbu3be2spKx1d6EXdHUpO3UZRfUev+2kYi2dUwanaj\n5gZjZ6+PnFjUwY/3vKo6gs8ke20n1hWzunUeRP8vvBTD0EnfMKn7VB7f8RJX/2sDlY/B7K9hYRa4\nLCbaTe9Gn4IrvSr2AC/fs0P37IEi2dUwanaj5gZjZ69PsNyqNgm4v8P9owlNilWdxWsRPZINmRsk\ne017nzrCj/d1gF/eSsLzR/jFTQt4xPMCv1z2JTETS1j+JXxyEIoqIfLKWLpvHUb0Fb4dvk/uEUFc\nUohu2QNJsqth1OxGzQ3GyV6Q62DpzGyAmUBuQ+tJl74QwLeX7ufktpvh0a5cNG4DdyfO5hd7viL1\ng2yyP4L5B7RbzdrirKR82JfoqxNURxZCCEC69IVoEme5k+VJe8D9CLwQwoixX/CI5UWuWbEa+zRY\nug025oPJBG2f7kLS5K6qIwshxGlp25axZW/T1pWCL85bzmIny+NyoMOThP6zlBvS3uORgn9z8Qfb\nKZoJb+6DggoIaWOny/ohhKaGq44shBCnpW1b5tX60rSng0OzVqiO4LPzNXtxZjnLWxXA8Akkf3yQ\nP984lef2PMXFT27n++nw8g6t2Mf9Ppmeh4frXuyXz8rW9fkCSbKrYdTsRs0NwZ3d22IPUvB1UbTF\nuPMtn4/Zj31VxNru0XDXffR7fyPP9f0zT66eTsff5/DefFiSA6ZQM11XDqTjWxf4ZZa8jC2ndH/O\nQJHsahg1u1FzQ/Bm96XYgzTtifNMxnPH2Pt/g+GxAVw6aSnPOP/GiHk/kPcyvLNfa8yLHBpN6teD\nMIfKGS8hRHCpr9hv2QUDbwOkaU8Izc4JOfw86yaY1pbrH5jP3/Oeof8zu/n2M+3WtR4gaWo32j7R\nWXVUIYQ4i68j+2pS8MV5YeeEHH6efQu2tyL43S2v8cTeF0h9MpuPVsKeIrBFmOmybgjhFxlz1kEh\nRMvV3EJfTQq+aPG23XOIw4vuoNUnLh4dPZkHv32dyMfKeC0d8h0Q0TeCrt8Pw2yXlhYhRHDRq9iD\nNO3pYnPaVNURfNbSs68fmcHhVb+nzeJSnr3yER7/4EUq7i3jxU1asY+9rS3dt10a8GI/JS09oNvT\nk2RXw6jZjZob1GfXs9iDTK2rC1t8FBGpbVXH8ElLzr76gr2UVPyZjp9kMf3Ch7j7X5+S/ix8dBDc\nHujwdm/a/aNbABOfERVvI8mg1/VLdjWMmt2ouUFd9rRty+hxNKPJ6+fmw8wFgEytK85H3/TfR2mr\nx+jx9o8833oC1z/7DUvf1mbNs4WaSP3+YsIujFIdUwghavFlVC9d+uK8te6yDEqjH6XPBxuZEfIQ\nwydtZsGHsKMQwhKtdD0wHGukvPSFEMFF70P4dcm7nmhR1gzJpCTmES7+4Gtmlj5Az/szeGsl5JZB\nZNdQUnddhtkqrStCiODh70JfTd75dHB00UbVEXzWkrKv7p1FSduHufzjZbxbMJaUWzL491dasY8b\nHUfqnuAp9hsWHVMdwWeSXQ2jZjdqbghM9kAVe5CCr4vD89epjuCzlpJ9da/DlPd7iNHvf8Y7h+6m\n1ZhsXv0BSpzQ9m+d6bh0kF+myPXVmvkN9tUEPcmuhlGzGzU3+D97IIs9SNOeaAHWXZrJqdQJ3PDG\nh7y2azzWuwp4eye4PNDxo77E3WLMqxCEEC2T3oVemvbEeWHTTZmcavMQv37jXV5Jf4jye04xZ682\nTW6XL/oTc12i6ohCCHFaoEf1NUnBF4a1MS2TE/aHGPPuO7yxfDxZD5ez6GcwmSD160FEDY9THVEI\nIQC1hb6aFHxhSBtuOEhByMOMee8d3lwyjp/GO1iRC1YLdN02jLAL5Bp7IURwCIZiD9K0p4vtY19R\nHcFnRsy++beHKAh5mM5hw5m5ZBw/VhX7kFATPQ+PMESx//fYn1RH8JlkV8Oo2Y2aG5qfPW3bsqAp\n9iAFXxcJo/upjuAzo2Xf/4+jHDv5IHe8N4u/xm1i23gHK3MhJMxE99wR2FqHqI7YJP1Hx6uO4DPJ\nroZRsxs1NzQvezAV+mr+6tL/HOgHtAYKgBXA4zQ8x6906YtGZc09wY5Zt3HbknnM/HQc30+qZM1R\nCA0z0e3wCKyt7KojCiHOcyoKveou/VXAFLQC3x54AfgUGOan7YkWLufDAna8fiu/Xv4fZs77I6uf\ndLLlOIRFmOl6eCTWaGlHEUKoE4wj+rr89S75rxofHwKmAQvR7s7n8tM2RQt15LOTbJ/2a9JWL2L2\np39g5V+cbD0BUQlWuhwajjlUir0QQh0jFHsIzDn8OOAOYDUttNifWLdLdQSfBXv2wi2lpD95I9eu\nWMq7X/6eNRMr2XoCohOtlC+4yLDFfue6AtURfCbZ1TBqdqPmhsazB1tTXmP8WfCnAcVAPtAZGOPH\nbSl1cPoi1RF8FszZywudfJd2KVeuXssHq+5iwwQHP+RDVJyFzodHsuiFn1VH9Nmn0zNVR/CZZFfD\nqNmNmhvOnd1Ihb6aN017zwGTGlmnJ7C36uN4IBboBEyuWjYcbRK0ugzdtOcqdWAJN0Z3eF3Bmt1Z\n7mR5ciqXbstj8dqb+e6hcjblQ0S0ma55V2K2m3GUuggJt6iO6hPJroZkDzyj5ob6swdjoW9q0543\nI/wX0Ar6uR4Ha6x/HNiP1qF/K3ApjTTt/XDdFDanTa31+HbYE2fdFS1v2VY2p0096/t3jHuLQ7NW\n1Fp2cssBNqdNpSK/qNbyfZM/JGPawlrLyrLy2Jw2leLd2bWWZ874kt0T36m1zFXqYHPaVE6s21Wr\nYB6ev7bea9vTx/wzKPcDOL0fNancD6fTyfKkdvT8NJPIm65n3oNasY+KMdP16Ei+fDObORP31PpF\ndJS6mJKWftYhuDXzc+u9lnb6mG1n3QkrfVk+U9LSz1r3jXG7WD6r9s8yY0sRU9LSKcqvqLV83uT9\nLJh2sNayvKwypqSlk7275PSykHALi2dkMWfinlrrGmE/8rLKay030n6EhFvq/f8wwn4snpFVa5lR\n9qPm72lTfz+CZT+yd5ec3o+ah+8nvwbT5tT+/qxcSHsYdtfePWbMh4kv1l5WWqatu65OjPlLYOxT\nZ0VjzCRYtOrMOmkPw7A7oe0o7eMJz5/9PfUJ1M1zUoBMYASwtp6vG3qEL/S1JCaSbusSWZN7Bel3\nnGRTPsQkWOiUe0XQ3N5WCHF+CMYRfV0qL8sbUvVYh3YNfirwDLAP+M4P2xMtyLI2JtovT2HFycvZ\n9buTp0f2UuyFEIFkhELvLX+8g5YCN6Mdyt8NvA1sRRvdO/2wPeXqO0xuFMGUfd3gkyTM68tK+yiy\nx+Sz5iiEh5nocmRkvcW+7uE+I5Hsakj2wDNi7upiX/dQvNH5Y4T/EzDKD88btEJTjHsL1mDJ/sOv\n87E8eiPftBpI/vWHWX4YQu2QeuSKBi+9S0wJC3BK/Uh2NSR74Bkpd91RfUqSoiB+Eqhz+I2Rc/jn\nsR2P5pHX4RbW3jAUx4h9LM/Rin233JFY42S6XCGEfxn98L3qqXWFaJIDbx7nsPUOlo65Cuul+1ic\nA6E26HZ0pMyNL4TwK6MXem9JwRfKHF9TzJ61d/DJy78k5bKNfHAQbBZIzRouxV4I4TfnW6GvJm3P\nOqh7vbuRqMpefqSCTX//BW+/Opaho5cybxdYTNB116XY24Y26TnqXrdrJJJdDckeeMGU29upcOte\nU290UvB1sGfSe6oj+ExFdqfTyerRl/Liwse45uqPmbtZayZJXTuQ0G4RTX6euZP2Nr5SkJLsakj2\nwAuG3L7OeT/pX42vYyTStKeDsqw8woKk291bKrIvSe7Mo3sWMun6Z3hzDXg8kLqiP1GjvMuRl1Vm\nqA7gmiS7GpI98FTmbu6h+6xcY3TqS9NeABm12EPgsy9JjmBM+kb+evczvFZd7Jdc5HWxB2Nd7lOX\nZFdDsgeeitx6naM3QrH3hhR8ETArejsZ8V0ls6Y8yGuLoNIDXV/vSdQ1rVVHE0IY3PnaiOcNKfgi\nIL7/1Sl6f9yVL+dczltvQqkLukxoT9QDKaqjCSEMTAp900nTng7q3q3OSAKRfe9zBYQ/OIS1X41k\nzlQPhRXQ8cZYYl7q3aznrXvXLSOR7GpI9sDzV25fG/G8UfeOeEYnI3wduEsdqiP4zN/Zc5cUcSzm\nOjKO9WD+U07yHZAyMpq4RYOb/dyOUpcOCdWQ7GpI9sDTO3cgR/SlZQHbVEBIl77wm+LMcr576Tp2\n3tKPzddlsacI2l8URmL65aqjCSEMRA7bn5t06QulnOVO1t4/ilWvXcXBS7Ri37qNRYq9EKLJpNDr\nSwq+8IvlwwfyyaI7CRm6mTXHICoMkrKvUB1LCGEAUuj9Qwq+Diryi7AnRKuO4RN/ZF+SmsQbPzxF\n18HL+SwbwqzQ6ciV9d7TvjmK8iuITjDmnPuSXQ3JHnhNzR2MRT6/ABJiVafQj3Tp6+DHe15VHcFn\nemdfOQge/mE5I4fP47MMsJkhNWcE1mj9/7Z8+Z4duj9noEh2NSR74DWWOxDd9r6652nVCfRlUR2g\nShJwf4f7RxOaZLw/pyJ6JBsyN+ibfdv9RQyaEcYLv3uA9zZoN8PptutiQjo2fX58byT3iCAuKcQv\nz+1vkl0NyR549eVO27aMHkcz6HE0Q1GqpunRCZIMMJFqbj7MXADATCC3ofWkS1/o4ue5BVR0GcgP\n7/Xn1dngdEPXFQOJHBWvOpoQIggE6yi+JZAufREweWuLybeNZPfKHsycC5Vu6P5cKhFS7IU470mh\nDx5S8EWzlBc62f3NNRxI7Mh7z7kodUK3sa2JeDxVdTQhhCJS5IOTNO3p4NCsFaoj+Ky52VffcRlb\nB/Xlsz+XU1ABXa6MInL2RTqlO7fls7IDsh1/kOxqSHb/qW6+q1vsZxl35nFDZ6+PFHwdFG0x5hzX\n0LzsS3p35MuXf0P6bUfJKYUOPUOIWTlMx3TnlrHlVMC2pTfJroZk119jXfZbdgUwjM6MnL0+0rQn\nfLJyqJXnvvwvA/q9zdc5kNDKRIeCq1XHEkIEgByyDy7StCf85rtbHNz7xR6uvORtFuVAuA2Sc2UW\nPSFaMinyxicFX3jlwCtFDPlHOBOvf5L39moT63TJHoE5VF5KQrQ0UuRbFnmXFk1WvKccT/d+vDtx\nADM3gckEqZuHYmttvMlAhBD1kyJvQHObtpo07elgc9pU1RF81tTsTqeTH+aO5LuVg5j9X3B7oMfH\nfQi7KMbPCRs2JS1d2babS7KrIdnr11CHvS7P/bDuTxkwQZ99WtWjiWRqXR3Y4qOISG2rOoZPmpp9\n2S8Gc3BkX+Y9WUapC3o+1YGwcZ0DkLBhUfE2klLDlWbwlWRXQ7KfEajpbeNjILWDXzfhN0GdvUah\nzy2Dmdp/o0ytK5pnSf/2/PDqnaRfvZecUugxOorwpYG7/E4IoQ85XN8C1DOi33ICBi4FpEtfNMeq\nYWF8uPApMgdoxb5jqlWKvRAGIQW+BfHi0H1DpOCLBu34SymTPt9Am4uW8k0BJERDq70jVccSQpyD\nFPkWRodCX02a9nRwdNFG1RF81lD2vO9KSL0tgl+NeJ5vDkOEDZLzrsJsDp6XzIZFx1RH8JlkV6Ol\nZvdn011zLVqlOoHvlGb3siGvKYLn3dvADs9fpzqCz+rLXl7oJD+rP3Me+SWf7dKute+ceRlme3C9\nXNbMb7A3JehJdjVaSvaaBT4Yi3xN879SncB3SrL7odBXk6Y9cZbVEwbyc1lnZr7lweOBXusHYL8k\nQXUsIc5rwV7YRTM1o8hL057wyZJRvTl884XMneDB5YFeM1Kl2AuhiBT584CfRvP1kYIvTltxSQw/\nPHsjn15TTJkLet0RT+h4ua+9EIEiBf48EsBCX83fBT8E2Aj0BS4Ctvt5e8JH2x518N6cl9g9ZC/5\nDujW107o+wNVxxKixZMif55RUOir+bsLazqQ4+dtKLd97CuqI/hs+9hXOLqsmN88fIDIy79gfxG0\nSzARuW2k6miN+vfYn1RH8JlkVyMYsvvacDf2KT+G8iOj5gads/uxGa+p/DnCvxa4Cvh11cctVsLo\nfqoj+CxmWB+sYW2446q7+DIPWoVC4tFRqmM1Sf/R8aoj+Eyyq6Eiu14j+NEGne/KqLlBp+yKi3xN\n/urSbwP8ANwInAAOcO5D+tKlr4DT6WTzywP4YXE33l0NdjP0KLgSa7S0dgjhK71c7XEAABC/SURB\nVDlEL4CAFnqVXfomtJv1vV614U5+2IbQwepfDeJQh+68/bV2bqf7hkFS7IXwgRR5cVoQjejr8uYc\n/nOAu5FHD+BPQGTV+jU1ejThh+umsDltaq3Ht8OeOGs2uLxlW+u9reuOcW9xaNaKWstObjnA5rSp\nVOQX1Vq+b/KHZExbWGtZWVYem9OmUrw7u9byzBlfsnviO7WWuUodbE6byol1u2otPzx/bb3n9NPH\n/DOo9mPFiHgOXD2At1938Z4HeKgdtsFxp9ddMz+33vOd08dsO2vGr/Rl+fXeuvONcbtYPqt2howt\nRUxJS6cov6LW8nmT97Ng2sFay/KyypiSlk727pJayxfPyGLOxD21ljlKXUxJS2fnuoJay2U/ZD/8\nsR8lzy1j4Y1nn4cfM+ns2dmWfVv/bVbHPQuzav/qsmWXtm5+7c0x+TWYNqf2sqxcbd3dtXePGfNh\n4ou1l5WWaeuuq/PjnL+k/vPUsh8+7MdTkPYL2F37LZoZe2FinbylTkhbA+vy6uxHJozdUM9+rIdF\n2WfWSVsDw5ZB24XaxxMaHNPX5s0h/QQgrpF1DgIfAzcAnhrLLYALeB8YW8/3GfqQ/ol1u4i7rJfq\nGE2W/kAlC295mk3X7mZrBVx/eyzWDwarjuW1nesK6H2Z8W6nDJJdFV+zB8MIfl06XNZfdQrvGTU3\nNDF7EIzo/XFIP7/q0ZiHgP+t8XkysBS4Be0SvRbn4PRFhin4uV+U8dhjq9g3YDcFFbA9xsxNBiz2\nAJ9OzzRs4ZHsajQ1ezAU+LqmzzVm4TRqbjhH9iAo8r4IxNS6nWjhTXuuUgeW8BDVMRpVnu8kMruS\nh6/7LetyITkeYrJGERJuUR3NJ45Sl2RXoKVmD8YiX1NpGYSHqU7hPaPmhnqyB2mhD7apdT2Nr2Jc\nRij2ABmLevPFq31YkAuRdkg4chVma3DdEMcbRi06INlVqZk92At8XUYtmkbNDTWyB2mh91YgCn4m\n2jl8odDqP/Rhz5HuzN0KVhN0OniZoYu9EN4yWoEXQaCFFPpqcg3WeWD5VW3JuugCZs/SPu/5RV9s\n7cLVhhLCz6TAC5+0sCJfkwzxdFD3kr1gkj7eSfofbuX9f1fi9MAFUzthu7bt6a/XvQzJSCS7GsGa\nvSlT1ta9zMtIjJrdMLnrmfq27uV0RicjfB2EpiSqjlCvvNXFPDP+v3w38BClTuh7UxSWJ7rXWicx\nxbgn2CS7GsGS3ZcRfEqSH4IEiFGzB33uc4zoUyICFyMQAtGl3xSG7tIPRs5iJ7EHT3LnqPvYnAdd\nOpiJybpKdSwhmkUO0wtdtLDD9sHWpS8CLHNxB5752xi+yoPYMIjKvFJ1JCG8JgVe6KqFFXpvScFv\ngVb/8UK2/9SDefsh1ALtj12J2SztGiL4SYEXujvPi3xNUgV0UHfOepVW/08s+529+XAdmE3QJf1i\nrJEN/11Xdz5xI5HsauiZ3dd7w/uq7nztRmLU7Mpy63D/+brz4hudFHwd7Jn0nuoIAOyc6uD7u37H\n+7NduD3Q++1uhPSJPuf3zJ20N0Dp9CfZ1WhO9kAX+Lom/Svgm9SNUbMHNPc0dCn01SZt1ed5goU0\n7emgLCuPMMWd+gXbyrnP9CmOoQs4Wg79xsRg/nBoo9+Xl1UWNF3X3pLsanibPZgO02flGqBrvAFG\nze733H48ZJ9VYoxOfWnaCyDVxd5Z7iTVc5yoKxaQVQ7dupibVOwheC6x8oVkV6Ox7MFU4OsyYsGs\nZtTsfssdgHPzRij23pCC3wJkLujA3/46hlUF0DoSIjPk8jsROMFc4EULIw14zSIF3+BWj+1K+r5+\nfJQJYVZIypPL74T/SZEXASNFXjfStKeDjGkLlWz3u9vC2RM2iE/Wg8UEXbZfgjnUu7/hFkwzaOsv\nkj2Qajba7Zpg3GI/bY7qBL4zanafcuvcfOeraTvVbl9vMsLXgbvUEfBt7p/tYM11jzB/bCVuoO/c\nnlh6RXr9PI5Sl/7hAkSy+1dDo/jSsgAH0ZFkDzyvcgfZaN4Av6ZekS59AzqVWc7vji+k4tL/kO+A\nAWNi8DSxSU+IhshheqFEkBV5I5Iu/RbK6XTSOqeYmOv/wy4H9OxukWIvfCZFXighRV436+dDU+9f\nKQXfYHb+uwvzXxnMqkJoEwVhe0apjiQMRoq8UEKKvK7Wz/f+e6Tg66Aivwh7wrlntNPD179pz+Yj\ng/k4E8Kt0Da/+ZffFeVXEJ1gb344BSR70+lZ5PMLICFWt6cLKMkeYNMg3wEJIaqD+CYYs/tS6KtJ\nl74OfrznVb9vY+ujVnYmXs5/1mkd+V23DMFsb/5/38v37NAhnRqSvWH+nML2nqd1fbqAkuwBUKfD\n/p6NKsM0TzBlXz+/ecUeZISvi65Pj/Hr8+evqeC/Ayby4V0VuIGLZnXH1KeVLs9929OpujyPCpK9\ntkAdqn/6gYBsxi8ku5+c43D90xcGLobegiF7c4t8TdKlH+Sc5U5G7/mK8KFzyHPAwNticM+TJj2h\nkfPxQhk5J+9X3hT6PcC92ofSpW9klWusdLp1Djsc0LOrRYq9kCIv1JEi73d6jujrkoIfxDY80YXP\nP+nPygJoHQFh+6Qj/3wlRV4oI0Xe7/xZ5GuSpj0dHJq1QvfnXHt7HOu/7c/KAxBmgaR8/8yRv3xW\ntl+eNxBaenaV940/l1lqZpLWhWRvIh2ntp2V0fznUMXf2fVoxPOGFHwdFG3Rd170/TMdbGtzHf9Z\nq3Xkd982xOs58psqY8spvzxvILTE7MFa5Gvaskt1At9J9gZMw2/z128p0Pf5Aslf2QNd6KtJ016Q\nKc6u4O/p0/j+5q2UuWDA653wPNBddSzhR8Fc3EULJofqA8qfBV6a9gxq0OFd7BtTVex/ESHFvgWT\nQi8CTop8wKkYyTdECn4QyX43ivsf/T+2lkFqsgnP4ktVRxI6kyIvAkoKvDLBVOirScEPEusfTOar\nVRezLB/iwyAySzryWwop8iKgpMgrE4xFviZp2tPB5rSpzfr+9MfsbMocxrK9EGqB9keGYzYH5r9m\nSlp6QLbjD8Ge/VzNd2kPBziMjiS7GufM7qeGOz2krVGdwHdNza6qCc9bMsLXQcr4a33+3oKNTlbH\n38cnSz2YTdBt4wDM0aE6pju3X4zvELBt6S0Yszd1ND/ev7Mx+5VkV6NW9iAs7A0Z3011At+dK7sR\nCnxd0qWvkNPp5I5vP+D4qM855YTBTyXh/Hsf1bGED+SwvfA7AxX5liwYC7106RtA9DcncN+oFfuL\nhtql2BuMFHnhV1Lgg0YwFnlfSMFXZOv/tWPW679iUwl0SjBh2jBSdSTRRFLohd9IkQ8qLaXQV5Om\nPR0cXeTdTZPXj41l8cJhbDoCMSEQc1RdR/6GRceUbbu5Apld7xnwFq3S5WmUkOw68mKGu0UGnUna\naLmrG/DWzwcD9xvWSwq+DjKmNX2S64MfVbKZa1m8FWxmSMm8PGAd+fVZMO2Asm03VyCy+2ua22lz\ndH/KgJHszeRjR/20nf4I439GyF2zyNf0vpo4fuOvQ/qZQEqdZU8A0/20PaVCEmOatJ6z2Mlb7r/z\nybsOAC5YcAGmtmH+jNaomMQQpdtvDn9lD8Qh+8Q4v2/CbyS7l3Q6TJ8YuIt3dBXMuRs7ZB8bmBgB\n46+C7wH+BrxVY1mxn7ZlGMO2bWDr2F1UuGHw7dE4b0pWHUnUIOfmhW7kXHzQamnn5b3hz6a9YsC4\nJ4h1dmh2JHc9+hK7HXBBNwvODy5WHUlUkUIvmk0KfFA7n4t8Tf4s+E+gjfKzgHnAS4DLj9sLWmvv\nTeLLby5hVSG0jQT7Xpk2NxhIoRfNIkU+6Emhr81fBf9lYDNwArgUmAokAY+e65uKdxmsnbNK4aZ9\nnNxSfwNZ1jwXc3f+ivczINQMkSuGkLGlKMAJG7ZvU2FQ5fGGL9lH7N1w+uMGZ6cIgE0/Gvfe7Odt\n9rl6JvHepuOw5YTaDL4IdO6tS/V7rp1ok9oEu5+buJ43M+09B0xqZJ2ewN56lt8NzAQigMp6vp4E\nfA/ISW0hhBDCe7uAUUBuQyt4U/ATgMZ6XA9Sf0G/APgR6AHsa+B7k6oeQgghhPBOLuco9oF0B+AE\nmnb9mhBCCCGC3sXABKAf0AWt2B8FgmHKCyGEEELopD/wHVAAlAI/AY8DNpWhhBBCCCGEEEIIIYQQ\nQgghhBBCCOG1TMBd59HY9f/BJgTYipa9r+IsTfU52vwNZcBh4F2McZlkJ2AWcACtZ2Q/8DTG6Rn5\nX+BbtOwFirM0Zhza72cZsAEYrDRN0w0H/gvkoP1O3qg2TpP9BW1+kiK0xueFQHeliZruQWAbcLLq\n8S1wjdJEvnsC7XXzkuogzRWMt8etvvFO2xqPV5Qm8t50tDcXI1kF/AbtDeVXQCrwqdJETdMDbT6J\n+4DewCPAA8CzKkN5wQZ8BLymOkgjxgD/BCajNeZuA5YCiSpDNVE4kI72Bwto7zFGMByYAQwFrkZ7\nrSxD259gdwitWXsAMBDt/eVztDlZjGQw2nvLdozzujGUg8DDqkM0w7XADqAXxhrh15WGdu8Di+og\nPngMyFAdwkt3E9wj/I1oU2ZXMwHZaG/qRuJGe20bUQJa/stUB/HRcWCs6hBeiESbWfdKYDXwoto4\nzReMI3zQDqHko013/hjGKTpt0KYQvhPtsKdRxaHNn7AaY97wqBXam4vQhx1tpLaixjJP1efDlCQ6\nP7Wq+tdoM+pbgFvRTnWuVZzFG68Ci9GOTngzK63wwiNoh7IuBO5He3H/U2mipjEBS4Anqz7vhPFG\n+NPQbmvsBjYB8Wrj+KQrUAjcqzqIl+4meEf47dBeE0PrLJ+Odi7fSIw6wjejFZ81qoN4oQ/a+0kl\nWh/CdWrjeOVWtNNW9qrPW8QIP1Ce4+xGvLqPhppR7gYqUNeE1ZTsPYCH0P56rT5q0qnqa/0CG7cW\nb3/u8WgF8yq0fVmLur9sfXnNJKM17c0MXMx6+ZL9bqTgB4JRC/7raI2p7VQH8YINbbbV/mg9NUVo\nR4qCXQe0Jsk+NZZ9TQto2gvUm7m/b7zjT03N/jFwA7UbOyxoh8TfR825q+b83JPRGm8uQ+uwDTRv\ns7dD+6X8Fq14quTLz/1utDeUWD9lag47UILWzPl5jeXvANHAzSpC+cgN3ETt/Qh2r6C9twyn6XdC\nDUbL0a7y+IPiHI25Ca1huebpTAvae7sL7dSENPD5iVFuvNMBrUu8+nE12pvLzRjrr/JqKWj5L1cd\npAmS0W7L/AHGPdd2N8E7wgdtJF+zac+M1rRntEtmjTTCN6EV+0NoV80Y3Sq0S2iDXSS138svQDvF\n+U7V50InLenGO50wzjn8IcB44CKgI1pX6nq0DlWrwlxNkYx25Gc52h9WNS/nNIIUtJ/7U2iHPPtV\nfR6hMlQ9bkFrRP0d2hUob6I1RhrhsrwItJ/pRWi/kxOqPu6gMlQTvIb2R+Bwar+uQ1WGaqKpaIOF\nTmiHxqeiDdyuVJipOb6mBRzSDzYt6cY7ndAO/xih4F8IrES7MqIM7VzhqxijaN6N9ibuovY5cqNc\nXTCX2pmr/x2uMFNDqifeKUf7PTXKxDsjOftn7AZmK8zUFPW9rt1of3QFu7fRTluVow3algGjlCZq\nHmnaE0IIIYQQQgghhBBCCCGEEEIIIYQQQgghhBBCCCGEEEIIIYQQQgghhBBCCCGEEEIIIYQQQggh\nhBBCCCH84P8BVw2UFPVy+9oAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10863a990>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"@interact(a=(-10, 10, 2),b=(-10, 10, 2),c=(-10, 10, 2))\n",
"def plot(a,b,c):\n",
" f=lambda x,y: 4*x**3-a*x**2*y+9*x*y**2-9*y**3-36*x+36*y+10*b\n",
" # print \"y^2=x^3+%dx^2+%dx\"%(a,c)\n",
" arithplot(f)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"参考\n",
"- http://qiita.com/hoxo_m/items/5ca984d9dcac16090223\n",
"- http://matplotlib.org/examples/pylab_examples/contour_demo.html\n",
"- http://qiita.com/y__sama/items/654ed8ab7464718876f9"
]
}
],
"metadata": {
"anaconda-cloud": {},
"kernelspec": {
"display_name": "Python [default]",
"language": "python",
"name": "python2"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 2
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython2",
"version": "2.7.12"
},
"widgets": {
"state": {
"973de37b9366403989694dc15a7ec137": {
"views": [
{
"cell_index": 5
}
]
}
},
"version": "1.2.0"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
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