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@josef-pkt
Created November 1, 2018 20:04
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{
"cells": [
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"%matplotlib inline\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"from statsmodels.gam.gam import GLMGam\n",
"import statsmodels.gam.smooth_basis as sb"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"(-1.0, 5.0)"
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"x = np.linspace(-1, 5, 101)\n",
"x.min(), x.max()"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"array([-1. , -1. , -1. , -1. , 0.2, 1.4, 2.6, 3.8, 5. , 5. , 5. ,\n",
" 5. ])"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"knots_o = sb.get_knots_bsplines(x, df=8)\n",
"knots_o"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"array([-4.6, -3.4, -2.2, -1. , 0.2, 1.4, 2.6, 3.8, 5. , 6.2, 7.4,\n",
" 8.6])"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"knots_eq = sb.get_knots_bsplines(x, df=8, spacing='equal')\n",
"knots_eq"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"basis = sb._eval_bspline_basis(x, degree=3, knots=knots_eq)[0]"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0xb692518>,\n",
" <matplotlib.lines.Line2D at 0xb692780>,\n",
" <matplotlib.lines.Line2D at 0xb692978>,\n",
" <matplotlib.lines.Line2D at 0xb692b70>,\n",
" <matplotlib.lines.Line2D at 0xb692d68>,\n",
" <matplotlib.lines.Line2D at 0xb692f60>,\n",
" <matplotlib.lines.Line2D at 0xb697198>,\n",
" <matplotlib.lines.Line2D at 0xb697390>]"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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BNjeKqyWDARLUCVSWVHLAcYDffvTbaIcTPv7yF9i0Cd56K7rJAPjbJ1dWwoED8Nv41fwv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46H/H5ClhVrk7AsiyeeeILdu3ezdetWsuJstOhaSRiVQM72HM4dPof/IT9WKB40hyeegN27YevW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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x73d95f8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.plot(x, basis)"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0xba7f5c0>,\n",
" <matplotlib.lines.Line2D at 0xba7f828>,\n",
" <matplotlib.lines.Line2D at 0xba7fa20>,\n",
" <matplotlib.lines.Line2D at 0xba7fc18>,\n",
" <matplotlib.lines.Line2D at 0xba7fe10>,\n",
" <matplotlib.lines.Line2D at 0xba7ffd0>,\n",
" <matplotlib.lines.Line2D at 0xba84240>,\n",
" <matplotlib.lines.Line2D at 0xba84438>]"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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s+3NV9ZAuCNpbi2Bl/krK68oZM8T/4wdahZnCmHzsZN7c8Ca769zY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\nmqZpmgb8f0zp3nloTS0BAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0xb6526a0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"basis_o = sb._eval_bspline_basis(x, degree=3, knots=knots_o)[0]\n",
"plt.plot(x, basis_o)"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"sig_e = 0.1\n",
"y_true = np.sin(1.25 * x) \n",
"y = y_true + sig_e * np.random.randn(len(x))"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0xba57438>]"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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61HRCQ0Jzni9KxryCB4GCemgA1gHx0zkZepzJiZOLXWNCREqO6kDIadt9aDfN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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0xba57668>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.plot(x, y, 'o')\n",
"plt.plot(x, y_true, '-')"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0xdc218d0>]"
]
},
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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OrDOSYU3y2fvu9+wGN27EGSf1R4RwHkkgRJJFWiLZ2/c9Ktp+CV8pU5icHw+W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\nTwAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x45424a8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"splines = sb.BSplines(x[:, None], df=[8], degree=[3])\n",
"mod = GLMGam(y, smoother=splines, alpha=0)\n",
"res = mod.fit()\n",
"plt.plot(x, y, '.')\n",
"plt.plot(x, y_true, '-', lw=2)\n",
"plt.plot(x, res.fittedvalues, 'r-', lw=2)"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"splines = sb.BSplines(x[:, None], df=[50], degree=[3])\n",
"mod = GLMGam(y, smoother=splines, alpha=1e-3)\n",
"res = mod.fit()"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0xfe326a0>]"
]
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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VQx8CYBnDky3D2V7Y7jPwgYEMeWiIV+20SHU1a5Jt3UYuFcwLQKWT0KHXLN759kW8vWKt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\nRnfvp+DhAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0xbb1e6d8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.plot(x, y, '.')\n",
"plt.plot(x, y_true, '-', lw=2)\n",
"plt.plot(x, res.fittedvalues, 'r-', lw=2)"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"(101, 50)"
]
},
"execution_count": 13,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"mod.exog.shape"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x102dfa90>]"
]
},
"execution_count": 14,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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VQx8CYBnDky3D2V7Y7jPwgYEMeWiIV+20SHU1a5Jt3UYuFcwLQKWT0KHXLN759kW8vWKt\niKQ81YGQNC2h+gY32LgRXnwx5rLXwxY/V7L/94jGI3irzlseiS/dqVQJ/9+3cOG+e8hxKIRKJ6Ft\nz6n0zpSVQc+MVwImIjE0AiHeLzTUXjR52S7LPKkafHqvfWv4I8OVPLirVClyrN7AxSL5AbgjFJ7s\n9hUf/thVIxEiEkMJhHi3qCh44QU4ehSAVSWhYzPAQP/7+9Otbjdn4/NWpUqRfdU6LuXPDdhrIpq8\n+QWD57/rcGAiklYogRDvNmQILF4MwLEc8PRTEO4HPev2pG+Dvg4H5+XKl8d/9Tou5c0J2Odn3Ndl\nKGNXDXc4MBFJC5RAiNeJLi4VWHQlkX0+ACDSQGBrCMkJHWt2ZGijoZqvTwmVKuG/Yg2XcvoD0OAg\nFOrQg8lrZt3QVSWwRTIWJRDidVq3hn/XhPBZcCC+2FsM+zeEFWWgzZ1tGNN0DKGhRm9mKeWOO3ij\n7CrOu2pntPoHLr0VyJoDcVe3qgS2SMaiBEK8TsjRSL6lDUWxq0otLQODGsDDZR9mUotJ+BgfvZml\nsBXna9I6ci7hrlGdzpsi+bVDI3Ye3xnTJ9nltUXEqyiBEK/TI2oojVgKQHAOeL413F74DmY/NZtM\nvpnsdr2ZpagiRWAJjXmZr2PaPlh0mYld7yP4fHBMn+ufEZH0SwmEeJc//qDDkWvrHp5rDT6FirLg\n+QUEZA2I6aY3s5QVXdBrbZmXGFP6w5j2j2eeZFCfBoSFh6VYeW0R8Q4qJCXe4/JlaNsWExEBwCf1\nYFPFHKxuM5/iuYrH6RoUZE9bBAfbyYPezJInTkEv6wNOtNtP/qmTyRQFg8b/R69irRn19nx++00L\nV0UyCo1AiPf44APYsQOAPwvBgAd8mP3UbKoVrnZD15Q+K0JiMYZWeybyY+YHAQi4Am99/Aufz+vj\ncGAikpqUQIh3WL0a69NPAbjiCy+0gk+bjaJx+cYOB5YxHTnmS5urc/kjSxkAyp2GGm8MZu622Q5H\nJiKpRQmEpH3nzxPRtg3GVUa5z4NQ59FX6Vy7s8OBZVxFisAlstPiykqCM9kneDY8AGdeDmT7sW0O\nRyciqUEJhKR5kd3fwm//QQBWl4T1T9dl9GOjVSjKQdELJjOXLUHfyku5kskXgLabI/ip4/2cuHTC\n4QhFxNOUQEjatmgRvhMnAXAhE7zTphCzng0ii18WhwPL2GKvMZm49R6YdG175/s/nWZEv0eIjIp0\nMEIR8TQlEJJ2XbjA+Zeej7l8p4kfIzv/TOEchR0MSuKTpU07zvXqCti/VHqO/oPRM3SQmUh6pgRC\n0qzj3TuSM/gkAL+WgXv6T6R2sdoORyUJyTVkOCca1QMgz2V4oPsXLNk2x+GoRMRTlEBImnRx9TLy\nTZwGQJgfrHw3kLbV2jkcldyUjw/5Zy/gZMkCANwZCufaPsOB0/udjUtEPEIJhKQ51pUrnGjTCh97\n0wUTWhTl/ZcnORuUJE6uXOT5ZTlhWe1Fla23XuXHDg24EnHF4cBEJKUpgZA0Z33X1pQ6eBaArUV9\naD5uOVn9sjoclSSWT5XbiZo8Oeb69dmHGDvsaecCEhGPUAIhacrWFTOpMXE+ABEGTo8aRtkCtzkc\nlbgr+zNtOPbmywD4WfD8wLnMWz4+3r4hIejodREvpARC0ozdB05zrm07srh2/y1/vBb3t+7ubFCS\nZIWHT+DQvVUBKHAJ8r/UhQPH/7uhn45eF/FOSiAkTbAsi1EvPcp9h+y58j05szA4ZKnDUUmy+PpS\n/KflHM/vD0CdA5GseaEhEVERcbrp6HUR76QEQtKE6StH02/D7zHXnSIncjAk4CZPiDcw+fOT7Ye5\nXLXXVPLcoqPMHPRcnD46el3EOymBEMftPrmby726U+CSff19rrosudRGbyTpRI4GD3H0g2tFpR4b\nPIt1q6bHXEeXxS5b1v6qo9dFvEOqJBDGmC7GmH3GmDBjzHpjTILVgIwx7YwxUcaYSNfXKGPMpdSI\nU1Lf1cirDPr0cV7aaA9rX8iUic9zz9IbSTpTuu9n/HO/vR4iz2Xwf/5FTpw6DOjodRFv5fEEwhjz\nDPAZ0A+oDmwFFhlj8t/ksbNA4Vh/Snk6TnFG38Xv0XXyPzF/ETMNGsDaA8X0RpLeGMNtP67icKFs\nANx1OJwNgQ2wXCesioj3SY0RiG7AeMuypliW9Q/QEbgEvHyTZyzLso5blhXq+nM8FeKUVLZkzxLC\nRg2nxjH7OqxKBbJ06+FsUOIxPrnzkCVoLmF+9nXTxftYNvwNZ4MSkSTzaAJhjMkE1AR+jW6z7I8c\nS4G6N3k0hzFmvzHmoDFmjjGmiifjlNR3Ouw070xty8Bl19qyfTUZ/Pwci0k8r8C9D7Orb6eY6xp9\nxnBw22oHIxKRpPL0CER+wBcIua49BHtqIj67sEcnWgDPY8e41hhTzFNBSup7/ZfX6RF0jFxX7Wvr\nlVfg3nudDUo8LiQEXl80hqCSZQB7PcSZ1k2JvKpS1yLexqldGAaId/LTsqz1lmV9a1nWNsuyVgOt\ngONA+9QMUDzn+7++58jc6Ty/3b6OzJMb88knzgYlqaJ1a1iz1vBy8Er25bJHm+787zzrX2vicGQi\n4i5PjxefACKBQte1F+TGUYl4WZYVYYz5Ayh/s37dunUjICBu3YDAwEACAwMTH614XPD5YN6Y25Ff\nF1xr8/1kKOTL51xQkmqii0SdDS9BYJ7RrL7QkUxRUHfqcv5tOo4KT3d0NkCRdGzGjBnMmDEjTtvZ\ns2eT/HrG06ugjTHrgQ2WZXV1XRvgIDDKsqxhiXjeB9gBLLAsq2c892sAmzdv3kyNGjVSNnhJUZZl\n0WxGM26bsoARi1xttWtj1q8HH5UkyQjq17fLVUcbWPNBem9eDsDxXH7k3LmHrEVLOhSdSMazZcsW\natasCVDTsqwt7jybGr+1hwPtjTFtjTGVgHGAPzAZwBgzxRgzOLqzMaavMaaRMaaMMaY6MA17G+fE\nVIhVPGjilols2bKA/vb7BZYxmDFjlDxkINcXjWr30wLWVskJQIFzEext9SBoa6eIV/D4b27Lsr4H\negAfAX8AdwKNY23NLE7cBZV5gAnA38B8IAdQ17UFVLzUvtP76LaoG0OXELNw0rz6KtROsKaYpAPX\nn7QJcYtGFS+WlbwzfyYku32vyoY97BvyjnMBi0iieXwKw9M0hZH2RVlRPDzlYSJWLGfVZFdj3ryw\naxfkv1k9MfF2109Z1KtnJw7X+37Yizzd6xsALmcysGkzWe+snkpRimRcaX0KQzK4CZsnsGrPckbH\nWjjJoEFKHjKAxJ602arHRL5/wC49mjXc4mSrR+GKtnaKpGVKIMSj9p/Zz9tL3qbzRrgz1NVYowa8\n9pqjcUnqSOxJm34+ftwx+Rf+LmAAKLYnlKNdb1asVkScpgRCUlz0vHfZchbVPngN/1MXGLA8Vocx\nY8DX17H4JPW4c9Jm5ZI1WD/0Da64/moUHT+dKwvnp06gIuI2JRCS4lq3tue99+WeyNl8S/l4KQRE\nj0a//DLUqeNofJJ63D1ps23bz/iy9bVtnJfbPAunTnk4ShFJCiUQkuKCg4GAg9C4B3UOwUt/um4E\nBMCQITH9rl+hHxoa78tJBuLn40fjUfNZWs6eygg4eYETLz3rcFQiEh8lEJLiChexoHl7fDKdj7tw\ncsCAOB9Bo0cq9u61v7ZqlfqxStpTpVBV/hn2Dqez2tf55y4hYvq3zgYlIjdQAiEp7rkh30L5Rby2\nGWpGr7q/4w7o1ClOv8Su0JeMp+PjAxj6fKmY6/CO7eHIkTh9NIIl4iwlEJKiQi+G8sG6t8h7CQbF\nOqqb0aNvOKo7sSv0JePx8/Hj6QE/MrOqPZWR7XwY5194Jk6VSo1giThLCYSkqG6LunEq7BSDfoV8\nYa7G55+HBg1u6OvOCn3JeKoXqc6u/m9yNId9nXP5GqK+HBNzXyNYIs5SAiEpZv7u+UzfPp0aR6F9\ndD2zHDlg6NB4+7u7Ql8ynrebD+GDF4rFXEf26A67dwMawRJxmhIISRHnr5yn0/xOmCgYvQB8okea\nP/gAihZ1NDbxPtHrG6pWysaGg9P5spbdnulKOJfbBEJkpEawRBymBEJSRO9lvTl07hBtt0Ldw67G\nSpWga1dH4xLvFHt9w475Dfi0yiv8m9e+l3XjFqwRIzSCJeIwJRCSbOsOrWP076MJCIOhS2PdGDUK\nMmcGtGJe3HP9egZrw3B6BeYnynUd1ft9+EcH9Io4SQmEJEt4ZDjt57XHwuLDFVDwoutG69bQqFFM\nP62YF3dcv56hWP5ctHv9K0a6ipj6Xg0not0LEBmZ+sGJCKAEQpLps3WfsSN0B1VD4PWNrsZs2WD4\n8Dj9tGJe3BHf+oaWlVqyvlMzdrumMvx+33TD3zMRST1KICTJ9p7eS/+V/cGCL34Bv+jx5d69oWTJ\nOH21Yl7ckdD6hs9ajqXLU9muTWX06QM7dzoWp0hGpgRCksSyLDrP78zliMs8swPu3++6Ua4c9Ohx\nQ3+tmJeUUDxXcVq89Akj6trXPlevEtWuHUREOBuYSAakBEKSZOZfM1m0ZxE5rsDnS64dzd0r8+eE\nnst6Q3+tmJfkiL0I97senZn9TC125bPv+WzcCCNHOhugSAakBELcdjrsNF0X2tsz+66EwufshWw/\n04xhO5tpgaSkuNiLcNeu8eXyLxN5taXPtamMvn3s7FREUo0SCHHbu0vfJfRiKBWPQ/cN9lkFl8nC\nW3wOaIGkpLzr/06d+/cu6j7Tgy/usa99wi5jvfZanLMyRMSzlECIW9YeWsuELRPAgi8X+eIXaf/C\nHkov9lIO0AJJSXnxLcLt17Af454ozv4Au80sXw5ffx2nn+qPiHiO3627iNjCI8PpOK8jAK3/hgf/\ns6cuIkuUYmWxdykbav9i1wJJSWlBQXbtkODga3/HsmfOztCWX9J+RwsWf2v3i+zRg1bjH2PHqaIU\nKQLh4fD77/a9vXvt1/jtN+f+O0TSEyUQkmijNoxie+h2/K/C6KWZgHAAfEd9zq8t/Z0NTtK16EW4\n12tesTmTmrVk8vY5vLgVfM+d46VNnXmCH9m715AlS9z+ml4TSTmawpBEOXT2EP1W9AOg92oofNpO\nHmjcGB5/3MHIJKMb+ehI+jTLRkh2+7olP/Eks+Ptq+k1kZSjBEIS5a1Fb3Ex/CLlT8Lb61x/bTJl\nss+7MMbZ4CRDKxlQkrce+4guj11rG83r5OY0d96p+iMinqIEQm5pwb8LCNoZBBaMX5SZTBH25rkp\nhXoSmvs2h6MTga73dGX3/VX5sZJ9XYhQJhd6l3nzVH9ExFOUQMhNXQq/xOsLXgfgiZ3w4O6rAByk\nBJ0O91bNB0kTMvlmYlzz8bz+GJyzD4Dl8ZAJFNytFZMinqIEQmLEt+Vt0KpB7DuzD/+rMHbptRVp\nb/E5l8iuRWmSZtxb4l4ea/gqvR+K1dihA1y96lhMIumZEgiJcf2R24+22cWwtcMA+GC1D4VOXQFg\nIY35kScALUqTtOXjhz9mZoO8bCjmavj7bxg2zNGYRNIrJRASI+5ogsU/ZV4nPCqc205Aj3Wu1syZ\nmVzjC8qWNVqUJmlOPv98DHlkKB2aQYRrba81YAD8+6+zgYmkQ0ogJEac0YTbZxFWdClY8NXirPi5\nFk6at9/mu80VtChN0qyXqr+Ef+26MSd2mitXoFMnlbkWSWFKICRG9JHbpW87T+bm3QC74mSD3Zft\nDiVLwvvvOxihyK35GB++bPolHz1gYspc8+uv8O23jsYlkt4ogZAY0dX+Wo36kKtZj5L9Coz9NdbR\n3CNHgr8qTkraV61wNV6u9wadm8Zq7NEDTp/W+RgiKUQJhMSxPWQ7IzeMBGDgKl8KnHKNPjRpooqT\n4lU+euAj/qhRmFlVXA3Hj0Pv3jcsFtZWZJGkUQIhMSzLosuCLkRakVQNgTfXueaMs2aFL75QxUnx\nKgFZAxj+yHC6NYYLmew2a9w48u/bGKeftiKLJI0SCInx7bZvWX1wNSYK/rcwKz5R9sJJ3n/fHu8V\n8TLPVn2W2+56gH4P2NfGsvj4bCd8iIzpo63IIkmjBEIAOHP5DD2X9ASg3Vaotc81dVGhArz9toOR\niSSdMYY2tjXzAAAgAElEQVTRj43my7q+bHPtGKp0cTPDyo7T+RgiyaQEQgDot7wfoRdDyXsJRi7L\nfO3GmDH2FIaIl6pSoApv1OseZ0Fl9xPvs2fNMW1FFkkGJRDC1mNbGb1xNABDl/mS67yr9O8zz0Cj\nRg5GJpIy+jboy/6qxZhUzdVw7hz07OloTCLeTglEBhdlRdFlQReirCjuOQQvb3ate8iZE4YPdzY4\nkRSSM0tOhjcezjuN4FT0gNq0abB8uaNxiXgzJRAZ3NStU1lzaA2+kfC/hVkw0dX6PvoIihZ1NjiR\nFPRUlae4q+pDvPtwrMYuXSA83LGYRLxZqiQQxpguxph9xpgwY8x6Y0ztW/R/yhiz09V/qzGmSWrE\nmdGcuXyGt5fYCyTf3ACVj9iHZVGtGrz+uoORiaS86AWV39Tyu3bY1s6ddoE0EXGbxxMIY8wzwGdA\nP6A6sBVYZIzJn0D/usB04CugGjAHmGOMqRJff0m6vsv6cvzScYqfhcErfe1GY2DcOPDzczY4EQ+o\nlL8S3er1oMtj4Jqsw+rfH44ccTQuEW+UGiMQ3YDxlmVNsSzrH6AjcAl4OYH+XYFfLMsablnWLsuy\n+gFbAH0kTkFL//qD0b9/CcCoBb5kveLaF9+xI9xzj4ORiXhW3wZ9CalcnPG17Gtz4YIWVIokgUcT\nCGNMJqAm8Gt0m2VZFrAUqJvAY3Vd92NbdJP+4qYoK4pWE7uAiaLZLnhilyt5KFgQBg+O01fnBkh6\nkz1zdkY0HkHvB+FENlfjd9/BsmWOxiXibTw9ApEf8AVCrmsPAQon8ExhN/uLm6ZsncL53Ovwvwqj\n58WaqhgxAnLnjtNX5wZIetS6cmtqVn2Yd2LvUn79dbh61bGYRLyNUxPdBrBSsn+3bt0ICAiI0xYY\nGEhgYKD70aVjp8NO02tJLwA+WAmlzkcAsDHgYWrH87O6/pwAnRsg6YExhi+afMFde+/gtc0R1DmC\nvaDy88+hVy+nwxPxiBkzZjBjxow4bWfPnk3y63k6gTgBRAKFrmsvyI2jDNGOudkfgBEjRlCjRo2k\nxJih9F1uL5ysGgLd19l52RWThbILv4z3sKwiRezRh9jXIulBpfyV6F6vJ52PfsymCfZwrPXRR5jn\nnoPixZ0OTyTFxfehevPmzdSqVStJr+fRKQzLssKBzcBD0W3GGOO6XpvAY+ti93dp5GqXZPgj+A/G\nbhqLiYKJ83zIFGUP6mTp9x756lSI95mgIPu8AJ0bIOlRnwZ9OF6pOGNdG8vNxYvQvbuzQYmkosGr\nB9+6UwJSYxfGcKC9MaatMaYSMA7wByYDGGOmGGNi/xeMBJoYY7obYyoaYz7EXog5OhViTbdiV5zs\nsBnuOeTaxFaxIrz7boLPFSwIv/0Ge/agcwMk3YleUNnnQQj1dzXOmgVLljgal0hqWHtoLUE7k/6p\n0OMJhGVZ3wM9gI+AP4A7gcaWZR13dSlOrAWSlmWtAwKB9sCfQCvgccuy/vZ0rOnZlK1TWHd4HYXP\nw9BfY/3fPn48ZMniXGAiDmtduTV3VWhEr1gLKiM6vQ5XrjgXlIiHRURF0GVBl2S9RqpUorQs60vL\nskpblpXNsqy6lmVtinXvQcuyXr6u/w+WZVVy9b/TsqxFqRFnenU67DQ9F9kLw0b+Ajkvu0YfXnoJ\nGjZ0MDIR5xljODfzC6bc4ceaEnab357d8NlnzgYm4kHjNo3jz2N/Jus1dBZGBtB3eV9OXj7OY7vh\nadc4zmm//DBsmLOBiaQRZ/dUxFr3Np2bQqRrLbE1cCAcOOBsYCIeEHIhhD7L+gBQ8ELSX0cJRDq3\nJXgLYzeNxf8qjJl/bZfFwDzDIV8+ByMTSTuKFAFW9WZbthKMvttuM2Fh8NZbjsYl4gnvLH2Hs1fO\n4hcJE9bkvvUDCVACkY5FWVF0nt+ZKCuKD1dA6bP2roulPMSGCm2cDU4kDQkKgnp3Z6fQH5/zwQNw\nLLvrxpw5sGCBo7GJpKTfDv7GN1u/AeDj37JQ4sCZJL+WEoh07H9//I8NRzZQ/Sh0d22CvWKyMLHG\nWIJ+vLHmg0hGFb3bKHjZE9S9vTE9H4l18403ICzMsdhEUkrshZMP7IXuK5JXeVUJRDp1KuwU7yx9\nB99ImDgXfF11PLMM6Mt3mytoO6ZIPKIrVM6qnokVpVyNe/fecEaMiDf6+NcxbAvZRv6LMO0HP4zl\nTkHoGymBSKfe//V9ToadpNt6qHHM1XjHHfD2247GJZLWVchXgbfr9aJzUwh3/Ya0PvkEdu1yNjCR\nZAg+H8yHq/qCBf+bA0Uu2scYJOf0ZSUQ6dDGIxuZsHkCZU5B/xWuRmPgq68gc2YnQxPxCu/f9z4X\nK5Tk03vtaxMeDl26QDI/sYk4peeSnkT6neeNDdDsX7vtpE8B+OijJL+mEoh0JjIqks4LOmNZFuPn\ngX+468YbbyQr0xTJSPwz+TPq0VEMaAD7o8/o+/VX+9hvES8QEgL160O5clC1+XKmb5/OXcEwLFaR\n1SGVvoH8+ZP8PZRApDMTNk9g09FNtN0KjaIPwSpZEgYOdDQuEW/TomILHry9KW88Fquxe3dIxumF\nIqmldWtYswb2HrjKX6W64H8VZvwAWSLt+98V7U6v5U2S9T2UQKQjoRdDeX/Z+xS4AMNj1+4cOxZy\n5nQsLhFvZIxhVJNRLL09K3MquhqPHYM+fRyNSyQxgoNd/6POCCiwkxELofIJV1v16jy7d3CyF9Mr\ngUhHei3pxZnLZxj1C+SL3nUWGAiPPXbT50QkfmXzlOW9+u/RtQlczGS3WV9+CZs23fxBkRQSeyqi\nfn0IDU3cc0WKAAEHoeFHtPob2m9x3fD3hxkzUuQMJCUQ6cSqA6v4Zus3tNwJz/7lasyXDz7/3NG4\nRLxdr3q9yFy2PP1dx8aYqCjo0AEiIpwNTDKEmKmIvfbXVq0S91xQEOR7rhvFwy7x1dxYN774wj6F\nOQUogUgHwiPD6Ty/M7nD4Mv5sW6MHKnzt0WSKatfVkY3Gc2IurA9+p/Tli0wZoyjcUnGEDMVkcB1\nQracW8jpAkFMDYK8l12NTz1lH6LoEhICL78c//OJoQQiHRi1YRR/Hf+L4YugSPTBKM2awXPPORqX\niLe6fti4eq7GPF61NR2aXesT1bsPT9Q+7PbQsog7ihS5+XV8wsLD6LKgC+/+BvdHnwdXogSMH29v\n6Xdp3Rq2bk16bEogvNyhs4fot6Ifjf+Fl6JPZs2VC8aNi/MXRUQSL75h488f/Zzt5XMwrqbdx+fi\nBV7Y9KbbQ8si7ggKgnr1oGxZ+2tQ0K2fGbx6MAW27aX/cvva8vGBadMgT544/RI7mpEQJRBeruvC\nrvicv8iEn2M1Dh8OxYo5FpOIt4tv2Lh4ruL0v78/7z0MIa7DtlrxI82ZG+8zIikh+pyWPXvsr7ea\nlf7nxD+MWfYx3waBn6vumenTB+6774a+iRnNuBklEF7s510/8+M/P/LJUih5ztX48MPJm9QSkQSH\njd+8501Klb6Ltx69dm80r5OdC8n+ZSySXJZl0Xl+Z4YtiKD8aVdjnTrQt2+8/YOC4K67kv79lEB4\nqYtXL/LGL2/w4F7oFL2jLHt2+OorQkJNkrb9iIgtoWFjPx8/xjYdy3dVYXFZu60kh5hYtF+ihpZF\nPGn69unkXrCcV/6wr60cOeypCz+/ePsXLAiTJiX9+8X/qpLmDVg1gFMhB1j5U6zGjz+G0qVpXd+e\nkwV7DrdVK3voS0QSJ3rYOD51S9Slfc32dDo9gR1fQrYIePbY53D4eShYI3UDFXE5HXaaobO6sizW\ndLb54gs7C/YQjUB4oR2hO/hs3WcMWwKlXFV112V9gPtmdCY0NOnbfkQkcYY8PITzxQswoIGrISoK\nXntNtSHEMX2Wvs+n009eKyL45JPQrp1Hv6cSCC8TZUXRaX4nHtwdQYfNdtt5chB4eRK/rfWhVauk\nbfsRkZuLvbWzRaO8fFDnU4bVu642xKhRjsYoGdP6w+vJMmZczPlHEUUL37Bl0xOUQHiZyX9OZvuu\n3/g61tRFTz7lAKUBe7QhKdt+ROTmrt/aOeO9F6hXtiGvNYcoVx+rT1+erLVf648k1YRHhjNsfDuG\nLL3W5jflW8ib1+PfWwlEGnZ9MZu/9ofSc3FPhi+C4uftPhsDHmYC7WOeKVLE/W0/InJr108FHgs2\njGs2jj9KZ2bM3XabCbvEK5s7sXevpdoQkipGrh5G3692x5yyOb1YN0LveChVvrcSiDTs+k88D3zc\nnbrbTvNydMGonDkps+xr6tUzGm0Q8bD4pgYr5a/Ee/Xfo/eDcNh14G0TFvIs3wFafySete/0Pqx+\n/agWYl9v9yvHy0cGp1riqgQiDYvzy6fcIiIDpjEx9qEoI0aQv0ZJjTaIpIKEpgbfq/8eRYrdRuem\n1/qOpCt5OKX1R+IxlmXxxeeBdF9tL9y9anxoE/EDV8iaaomrEog0LOaXT6ZL0LQjY+fFOuuiSRMV\njBJJRQlNDWbxy8L4ZuP5uRLMruzqy3GmFuyhEUHxmKCNU+jyxQZ8XdUmP/D5gG3YVaFSK3FVApGG\nRX/iCXi8P4GH9/P033b7Wb+81Pnra+rfZ7RISyQNuL/0/bxU7SXebAJnsthtTUMnU3Db0ps/KJIE\np8NOc/HNTpRzVZsMubMSa+/pk+pT2Uog0rCCBWH07D8JKPkpYxZca38tYiwbDhbRIi2RNGRYo2GE\nF85Pr0axGtu3h0uXHItJ0qdvhzxH2w12wYewLL4UCprHqjW+qT6VrQQiDYuMiqTDT6/x1Zwo8rjO\nc/8px3PM4umYPlqkJZI25PPPx/BHhjOxBqwo5Wrctw8++MDRuCR9WfPnzzw5YmHMddjQQfZWPQco\ngUjDRv8+mlpzN/GIqziIVbQo424fHaePFmmJpB1t7mzDw+Ub0b45XPZ1NY4YAZs23fQ5kcQICw/j\n5KvPx6yFW1KgCi1m9nJsKlsJRBpxfc2Hjf/tY9L37zJs8bU+5n//45u5eVQkSiSNMsYwvtl4jhTx\np//9rsaoKP5r+AoVy4aruJQkyw8Dn6fFZrsI0OnMvrQ7vog1a41jU9lKINKIuDUfLJqMeJWJMy/j\nH11av0sXeOQRFYkSSePK5CnDwAcG8um98Gchu638pW202vep1i1Jkm3fsYxHPvsx5vqNzIMIpjjg\n3FS2Eog0Is5fgGqT6bZ9GbWP2peRFcrDJ584EpeIuO/Ne96kRsm7ebUFRLqOI+hHf25jF4cOxR1t\n1IiE3EpEVATHXmxNwYv29cISlZl2oVfMfaemspVApBExfwFyBFO/ypu8t9q+jPLzxXfGd5A9u2Ox\niYh7fH18mdh8IltL+DG8rt2WlStM5FXOnIqKU2FWIxJyK/MHtqPR5jMAnM7uy53zFqWJCsRKINKI\n6JoPRR7vyNT5F2L+j/H5aADUrOlobCLivjsK3cF79d+j3/3wXx677T5+483MY+P0Cw6+cQ2URiUk\n2r5/1lPvk+kx1yeGfkjRO0ukialsJRBpRMGC0G3CD3yyfS6lz9pt4fXqQK9eN39QRNKs3vf1pnTR\nyrza4lrbe2fepSQHYq6LFLnx3BuNSghAVFQkB9s0I7+rlMif91WgQuc+zgYVixKINOLkpZMsHvwK\nL2yzr6/myEamad+Br+/NHxSRNCuLXxa+bvE1q8oYxrkGEv2jLvB97g6ULWPFDD9fvwhO9V0EYOHH\nr9Jw80kATmb3ocKMxbd4InUpgUgjPpryCp/MPhtznWnsBChV6iZPiIg3qFuiLt3rduedRtdO7Lzn\nzCL29JsSM/wc30mfkrHt3b2BWoMnx1wf+7gP2YuVdiye+CiBSAN+3D6Lpwf/RO4r9vWl1o9jnn/e\n2aBEJMUMeGAAhYvdRofmsRq7dYNjx4CET/qUjCV6LUzZclFsbt48ZtfFn3XLcnuXDx2NLT5KIBx2\n4tIJ9nR/kXqH7OsLRfPjP3EyGONoXCKScrJlysakFpP45TbDtDtcjadP2/VdLEv1XQS4thbmDt8O\nPLX7OABn/H2o8N3iNPmeoATCYaM/e4Zuv9orZCJ9DNln/QS5czsclYiktHol6/FWnbfo+iiE+rsa\ng4Jg1ixH4xLnXL/75vBhyB2whXFHJ8b0OTqgF9lLOnPWxa14NIEwxuQxxkwzxpw1xpw2xkw0xty0\noIExZoUxJirWn0hjzJeejNMpc9b+j5c/XRZznvulPr0w997rbFAi4jEDHxxI3hIVeP2xWI1dusDx\n447FJM65fvfNyVNRjMj/GEVcUxdLSpSiSrfBzgZ5E54egZgOVAYeApoCDYDxt3jGAiYAhYDCQBHA\na/YyJnY/d+iFEPw6dKTkOddztauQ84NBqReoiKQ6/0z+THp8ErNvhx8quxpPnIA33nA0LnHG9btt\nHq3UkRf3hABwNrOhYlDanLqI5rEEwhhTCWgMvGJZ1ibLstYCbwDPGmMK3+LxS5ZlHbcsK9T154Kn\n4kxpidnPbVkWP3R7lGY7rgJwPkcmCv6wUFs2RTKA+iXr061udzo3hZPZXI0zZ2rlZAYUe7dNjny/\n8+nur2Kug/t3p2St2xyIKvE8OQJRFzhtWdYfsdqWYo8w3HOLZ583xhw3xmw3xgw2xmS7Rf80IzH7\nuefOGsiLk/+MuY6cMAFTooSHIxORtGLQQ4MoUOZ23mgSq7FTJzh50rGYJPVF774pU/4qw0o0pZRr\nJ//uaiWo9M4wZ4NLBE8mEIWBOAP4lmVFAqdc9xIyDWgD3A8MBl4ApnomxJR3q/3c+w/toHKXD8nm\nOmVzb+Cj5A58MVViE5G0IatfVqY+MZXZd/nxU0VXY2godO3qaFySuqJ337zb5VXa/3kCgEuZDaVm\nLkrTUxfR/Nx9wBgzBHjnJl0s7HUPCb6Eq0/8D1vWxFiXfxljjgFLjTFlLMval9Bz3bp1IyAgIE5b\nYGAggYGBNwkl5QUF2dMWwcF28hB7VDIyMoJ/nnmQR09EAXCgTF7KTvoxgVcSkfSsepHqfPhAfzqe\n602DA5DnMjBtGjz9NLRoccvnJX1Y9+9yGgyaGvNp/lTv7hS/7WZvoUk3Y8YMZsyYEaft7NmzCfS+\nNWNZCb6Xx/+AMfmAfLfothd75OBTy7Ji+hpjfIHLwJOWZf2UyO/nD1wAGluWtSSe+zWAzZs3b6ZG\njRqJ/K9wxrz3n6TZkB8AuJDFwObN5Li9usNRiYhTIqIiaPC/BlSYt45v5rgaCxWCv/6CfLf6NSve\n7sLVC0xpWoLOS+2TNo9UKU6xbftTdT3cli1bqGkf2FjTsqwt7jzr9hSGZVknLcvafYs/EcA6ILcx\nJvY75EPYIxAb3PiW1bFHLLy6OvzfK2fzwKc/xFwf/vQDJQ8iGZyfjx9TnpjCD7X8+Tl6vVxIiL21\nU9K9EV+2pf2vdvIQ7mso9N08r1pM77E1EJZl/QMsAr4yxtQ2xtQDvgBmWJZ1DMAYU9QYs9MYU8t1\nXdYY08cYU8MYU8oY0wL4BlhpWdYOT8XqaWFnT5IpsA3Zw+3r3x+rRp6nPtTxvSJC+bzl+azxcNo3\nh1NZXY0zZ8L33zsal3jWD1u/o+knP+LnmgQ41+tN/O64y9mg3OTpOhDPAf9g776YB6wCOsS6nwm4\nDYiuy3YVeBg78dgJDANmAd47IWhZbG11LxWC7YMu/i2WlWozV+j4XhGJ0b5me+6u1YIuTa+1WZ07\n26MRku4cPHuQv995iRr2USicKl+cfB8OdTaoJHB7EaU7LMs6g72jIqH7BwDfWNeHsXdfpBubB3Sm\nzrLdAFzIDD7fzyZzjgAd3ysiMYwxTGoxibuO3MmsnUd56m8wJ09C+/YwZ45XrMiXxImIiqD3F08w\ncellAKKMIc/0IMic2eHI3KezMDzo6Kr53D5gXMz1xg/bU+5e+yOGju8Vkdjy+edjaqtv6dI01lkZ\nc+fCVK/ZxS6JMGj5R3Qev4Uskfb11W5vYGrXdjaoJFIC4SHhJ49jPdmarK56D4sercD9715LJnR8\nr4hc74EyD9D+0d5xjv223nwTDh50LihJESEhcEez1ZweOpC6h+22sLIlyDrwY2cDSwYlEMkU79kX\nlsXux+tT7Li97mFryczU+e43TKxhSB3fKyLx6dewHyGN6vKt69hvc/YsVrt2EBXlbGCSLC2eOcWl\ngs8weJm9ajIKQ7ZvpkM2rym0fAMlEMkU32LI3e935PY19rqHU9nA+v57AgKUIYjIrWXyzcT01tN5\nv2VODuay28yKFZz/aLizgUmSRVlR/FWuLV8tD8bfNSo9NVdn+1OnF1MCkUzXL34sdmQ2ZYdOiLle\n/tHLVLvn8VSOSkS8WencpfH/ayLtnoDocYesH70HW7c6GpckzdA1Q3khZD4P7rev95vifFvFe6cu\noimBSKbYix+LmX2MDnkOP9e/+BmPl+WJHl/F/6CIyE2E//k0K0Lf4NN77etMVgSRzz0LYWHOBiZu\nWbF/BV/Pfp9hi6+1fV5lEtN+yuFcUClECUQyRS+GrFTmCj/lv5cCYXa1qBWVstJo6lp8jH7EIuK+\nIkWAxZ/St2Jt/ixkt/n+/Q/Wu+86GpckXvD5YAK/f4avf7TI4SokSIcOfL6jUbpY96Z3t2SKXgz5\nc+3m1DxuVwXZnxtyzZpL/pyFHI5ORLxVUBDUq5OZwptm065FLi67KuaYUaNg8eKbPyyOi4iK4Nkf\nnuXZZaE0cG2isUqXhmFp/5juxFICkQKOjBpE+e/tc77C/GDj6PepUbWRw1GJiDeL/nByYFtJPuk1\nk3di/Uq5+vyzcOxY/LvAJE3o/WtvQjatYvCv19rM5MmQM6djMaU0JRDJdHHdKvL36BtzPbVTPZ58\nbqCDEYlIevNo+UfJ07Mvv5S3rzOfOE3Ys0/yVKtIlcRPg2bumMlnq4fyzRzI5tp1Qdeu0LCho3Gl\nNCUQyRAVcoxLzR8lS4S9r/e7Bvlo89niOPUeRERSQvsq/XizQUOOutbeZVu5hsd39Y/TRyXxnbcl\neAsv/fQSb6+Fe464GitUgMGDHY3LE5RAJFV4OAceuZsCJ+0V0RtK+lJr5ir8M/nf0FXDjCKSXE8/\n5ct/M4J47pGiRLo+o7x1agD3sTKmj0riOyvkQggtv2tJ5YNh9F9ut1k+PvDNN+B/43uDt1MCkUS7\n2zalzLZDABzJCZdmTKF84Srx9tXJmyKSXMHBQFheVq5eQv/69sFLvhZ8n605tUodV0l8h12NvErr\n71tz6vghZsyGzK7t/KZXL6hb19ngPEQJRBLs/bQ3t31nL5q84gurR7zFA/c+l2B/nbwpIskVM7pw\nvAqDjs1kWWn7snDYeeaVasJvq6LSxdZAb2RZFl3md2HNoTWMXAi3nXLdqFUL+ve/6bPeTAmEm0J/\nnUuxd6/NZU3v3IBnXr55iVmdvCkiyRX7AL66BVvy+6B3Cclu3yu0ajPH3nvD2QAzsC9+/4KJf0zk\nqR3wyh+uxuzZYfp0rzymO7H8nA4grQoJsacegoPtN/ygIMhx6T9M6ydjjmENeqgoz49YcstFk0FB\n9rRF7NcSEXFH9LbOaJY1mCH/rOfdASvwAQoO+5ITNWuT/+kXnQoxQ/px54+8tfAtSp6BCT/HujFm\njL14Mh1TApGA6HULYK9deLrlOcaH1KLiWbuc2PpyWWjwwyYy+946u7z+H76ISHIZY3ir73zG7ahI\n5x8P42NBlnavcL5SVXLeWcvp8DKEdYfW8VzQc/hEWkz7AXJfcd149llo29bR2FKDpjASEHedQhSd\ngqtTce9ZAA7mNgT8tIj8AZqLEBHn+Gfy58kpm1hQzZ7LyHk5ilOPNuTq6RNuv5Z2i7ln98ndNJ/R\nnMsRl+m3Euofct0oXRrGjYMMsJ1fCUQCYq9TeLfsQzyzfy8AFzJDyPSvqHx7+ioIIiLeqWCOQtw2\n5zf+LmzXui4VfIntjatjRUa69TraLZZ4oRdDaTKtCSfDTtJsF/Rd5brh62uvewgIcDS+1KIEIgHR\nC5aer9GRQXtXxLRvHdqT2k1ecS4wEZHrlC9VjSuzvuNUNvu65sbDLHvJvQ852i2WOBeuXqDZ9Gbs\nPb2X8idh+o+x3kYHD4a6dTPMaI4SiAQULAgfvj2CsTvGx/yQ1nVoSr2u6ecgFBFJP6rXf5KdI/vG\nFJl6aOoa5vV5OtFvZtotdqPrf3YHjobx+HePs/HoRrJfgXnf+5Hzsqvgw1NPwdtvAxlnNEeLKBOw\nZN00yr/YnZxX7eut91em7tifb/6QiIiD6r32EWu2b6feF3MAaDxkFq/81pk1a74E7De0Vq3iX9St\n3WI3irOY/sAVqg9pzen8y8CCqfMyUTHEdUZ3lSowaVLMuoeMMpqjEYh4LNkxl5zPvECZM/b1vnL5\nuHPeRkJCTYYYlhIR71VvZBCbn6gDQKYoGLNuLNUqXTvwL6E3s+jdYnv22F9VlCrWz8onAp4M5HT+\nXwB4//fMPLHdlTzkygU//gg5csQ8l1FGc5RAXOfX/5Zw5rknqHPIPiDrZN5slFixBZM9e4YZlhIR\nL2YMNWf9xt/1KgKQ8yosODyQUpVGAOn3zcwTihQBTCS0bAeVfwSg5Z7MDFwUca3T1KmEBNwW58Pl\n+PHXin6l5xLjmsKIZcX+Ffz+2mO8t92e0wrL4kvAklX4FS8JZJxhKRHxcr6+VF68hX21K1Dm76MU\nuQALj3enXdOcBE161enovMas2ZFU++A1QotNB6BusB+zZxtMlGvdQ9++0KIFrevHrRvUoUPGqP2j\nEQiXlftXMu3txry3ws4sIw1kmjkbvxrXCrJklGEpEfF+xt+f0iu3cqx4bgAqnYTRf7zG4p1fOByZ\nd7gaeZVuvz1PaLH/AXDbGV+Wz8qOb5irWtTTT8OHHwIZ98OlEghgzj9zGDCwEWOCrsa0WZ8Ow+/x\nlnH6xa5Fn56HpUQkfTD581Nw1WbO5LH3d9Y+ChWfe5OxS4Y4HFnaFhYexhMzn2DmXzMBKBzmy6ag\nAt0jC2wAABONSURBVGQ5ZRcTpEED+4huH/stNKN+uMzwCcSkPybRZ3QrZk0Ljzl+NbJDe/y69bih\nrxYZiYi38SlTllyrNnA+tz9gJxG1Xnyfj+e9i2VZDkeX9py7co4m05qw4N8FAOSNysLfv5Qj58Fj\ndofbb4c5cyBr1phnMuqHywydQAxdM5Te015h/rcWeS7bbVGNG+M7ekyGKEMqIhmDT9U7yLF6Axdj\nJREPdviE3kFdiLKiHI4u7Thx6QQPTXmIlQdWApDXJzu7V1cnz7bddodixeCXXyBPnjjPZdQPlxky\ngYiyoui5uCcD5r/D/GlQyjUqZVWvjs+sWeCntaUikr6YqlXJ/tvvXMpjbze8+yg83nUsL/+vJRev\nXnQ4OuftPL6TOhPrsOnoJgCK+uVhz7I7ybd8vd0hVy47eShRwsEo05YMl0Ccu3KOlt+1ZORvnzHr\ne6jhGpWKLF6Kln7zKVctp2o8iEj6dPvt+K9aR1ienADccwTe7fUzzwy7m8PnDqfIt/DGMs4L/1tI\nna/rsOf0HgDKZi7MrsUVyb1ind0he3b4+We44w4Ho0x7MlQCsfvkbupMrMPPu35m3Dx4dI/rRu7c\ntC3wC3M3FlGNBxFJ36pWJduqtVzJbw/DVzoJE4f8zSv9qvH7kd+T/fLeVC/HsixGbRhF0+lNOXfl\nHAB1c9/BXwvKkGOVa+QhRw5YuNBeOClxpLsEIqHsd+F/C7n7q7vZeWInHy2HV/5wPZA5M/z0E+vP\nVo7zOhllG46IZEBVq5Ll981cKV8GgMIX4YcxJxn0fn2mbZuWrJf2li2NlyMu03FeR7ou7BqzDiSw\nVDNWz8pB1t9cIw+5csGSJfabidwg3SUQ12e/T7SKZOCqgTw27THOXjlL599jHb0KMGUKNGiQYbfh\niEgGVaYMWdZvJLzu3QDkCIcfpoaz8v/t3Xl8FGWex/HPLwEhxgMDqIgMTDhUBFFQUUSZEUd2ZBzR\nWQ9wvPDC0fUY3MVzRVwXxAtlFcV5LSpCFEY8mJVRQQFBxd1EQFRABM0oEu5wCASS3/5RnRNCujrp\ndCf5vl+vekGq66n8LJvqb1c99Tz3/pHBb17DtoJtMe22LpxLi/s7jM8ZX7JudIc/MemJ70mdHwkP\nzZrBzJlw2mkJqjL51bsAUS7tHraS7G5ncf+H9+M4//wljJ1R5vWnnoJLLwUa7mM4ItKANW9O41mz\nKbroQgAaOYz/G/QZ/iK9x55Ezk85oXeZzOdSd+cvOX+hx/geLMpbBECT1CbMaHsv/3rHVOyLLwDY\nlJLB4LazWNv2lESWm/Tq3eMGrVrBypUOJ74Iv72VXU2CFN13lZH1ZgopXhhsePfdcOutJe2KH8MR\nEWlQ0tJImfpXfOhQbMwYAK5aBCevXsGg73py1aBHuP2020mx6L5vJuu5dPPOzdww/QamfjW1ZF3n\nlp35e8GltLnhP2B3MDnWMjpxftF0vlnUieWVzFwqgXp3BWLcxJ/IuOkPMGAwRMJD/21H8ffX02i0\nOxIeBg+Ghx9OYJUiIvER01MQKSnYk0/C5MkUpacDcPw6+Pj5PXz+6FDOmnAWi/MWx7fwOHF3sr7I\n4rhnjisXHv50wnUs/KYvbe54oCQ8zEs7h9P4lG/oBCRv/41kUW8CRMGeAkbPH02vVzux8Yg3StYP\nO/wi3n55N422/Rys+N3vgqnSNFCUiNRD1XoKYuBAUrKzKeraBYD03TDxDbjt8fn0f/Qkhr47lK27\ntsan8DhYtn4Zv5n4GwZNG8SabcEz+82aNuP9bo/zzIj/o/GYMvOC3HIL9540g82UDhKVjP03kkm9\nCRAX//Vihs0cVtLxp3lac/6nz3hGPZJNytp1wUa9esFrr2mgKBGpt6r9FMQxx5Dy6QK49tqSVRd/\nBV+OLaLgqSc4fuyxvLbktVoZwTLWMSW27trKfR/cR9dxXZm1albJ+gs7nM+qbddzziV3wcKFwcpG\njWDcOBg7lqlvNKqy/0ZdHOcibty9Ti9Ad8C5AWc4bsPNh0wf4utzl7l37uwOwdK1q/vGje7uvmaN\n+xlnuGdmBn/m5bmISL1wxhmlpz0Ifq4o6nPgpEle1KJFuR1+dhTe/Qa867NdfcqSKV5YVFhlTbGe\ncyv+t5xyyv73s3nHZn9ozkOe8UiGM5ySpd2Ydv7hW08FOyizwxUHdvHzW2dXq6Z9Hd+6JDs72wEH\nunvYz9+wDaLeMdwDzAe2AxtDtBsBrAZ+Bt4HOlSxfUmAOPO/z/TPf/rcfetW9549S/4P/9A003v+\nYnXJm6S+vQFERIoVn+P292Ed6hy4fr37ddeVbwA+7dggSHR+prNPXjzZ9xTuqXQXsZ5zMzPLt2vS\nZO/9rFnj3rPPRj9swHBPvbdZueDQeERjf+ylIb77skvczUobpqT4S0ff4wews9o1ZWZG1y5ZVSdA\nxPMWRmNgCjAu2gZmNgy4BbgROJUgfLxrZgdU1XZk35HMuXoOJx52XHDTb8ECANY3PpIzd77PgtxW\nJfcD68pAJyIiYUUzsVOoc2Dz5vDCC/DRR/jxx5esvnApZI+H0WO+4umnBtF2TFvunnk3S9cvrd7v\nK2O/fRCskG95jy4PXM6C3q3ZdOJwChtvBiDVUrm99R9Yt3wAQwe/QKNXpwSf9wDHHguffMKDBzxM\nAU2qXVND7icRt84A7v4ggJldFaLZbcBD7j490vZKIA8YQBBGKvXqf57L4N6FHH7r5cHIYQDNmnHF\nQe+x6ofMku1++qn4Uc/Stg35DSAiDU8058C8vKBDZvE5c9q03hyekwPPPYc/8gi2ejUA/b8Jlk9b\n/8jL3UZxRpdRdOh4KleccAXntj+XjhkdadXKYjrnTptW+qWvVSvYtacgmOyq03ToNpE1h/xYbvuU\n3akMmH82Lx7aiIMfng4FBaUvtmgBd90FN98MTZvG/DlQsaZkGueitpkXp7J4/YIgQDzp7hlVbPdL\n4FvgRHdfXGb9bOBzd7+jknbdgWz4X/52+LP0XzsheCEtDWbOpPe/9WL+/NLtizvGVHwDNJTpV0VE\n1q6t+hzYuzd7nTtLxkTYuRMmTMBHjcJyc8u1K0iBdzrCKyfArExIa9mKnkf24Yu3f8XOlSfT+qB2\nvP1qBmAVAkr5GgqLClm9dTXfbvqW+bnzmfP9HOblzmfHnp/LF+rQJfcQBs3pwJWrfqS155V//ZBD\n4M474fbb4eCDQx2DhiAnJ4cePXoA9HD3UCOHJVOAOB2YBxzlXvoOMLPXgCJ3H1hJu+5A9h0M4gkm\nBysbNw5mTuvXT28SEZEYtG9f/ht6ZmZwW6ScggJ45ZVgVN/Fe48TUQQsPBJmtwuWBUfD2nQ4qMlB\nFG1ox89r2sCe4DZCRvNgvqotu7bw3ebvyM3PZU/Rnr32aUXQfhOc830Kg9YdyclLt5O2KX/v/4CW\nLeH662HoUMjY78dPg1adABHqFoaZjQSG7WcTB45z9+Vh9lvVr43sd7/+WBweUlJg8mTo1w9I3lHR\nRESSWVSX+A84IBiYb/DgIEBMnAiTJpV0KEgBuq8Jlj9HJrfc3ASWtdjG8uZL+CZjCesPhC1NYMtG\n2DQDdqdC+wI4YTekF8BBBdA2HzpugM6bG9F+g9OkoJAgnqwuX09qKvTvH9Rz3nnBl0mJm1BXIMys\nOdC8is1WuntJbKytWxhnAYcCdOsGv/gFAAMHDmTgwH1euBARkf2I+eptYSF88AG88w7Mno0vWoTF\n80r3wQdDnz5wzjlw2WVwxBHx+111XFZWFllZWeXW5efnM3fuXKjLtzAi264GHnX3JyM/H0LQifJK\nd59aSZvuQHY20P2xx4LLVSIiUuP27lgZRajYuBHmzoU5c+DLL2H5csjNLX0qIoxGjYJ7KZ06BZ0y\nzj4bunfX4IDVUGu3MMIwszZABtAWSDWzbpGXVrj79sg2S4Fh7v5W5LUxwH1mtgL4DngI+AF4i6pc\ne63Cg4hIHBUPkw3B7Y2LoplsKiMDBgwIlmI7dsCKFcFO8vNhyxaef3QLm3K3cAAFbCedlm3TGTI0\nHdLTg7TSqRO0bRtVWKgYdJ57DoYMUV+4mhbP2DYCuLLMz8XJ5tfA3MjfOxK58wDg7qPN7EDgeaAZ\n8BHwW3cv8yxOJW66qQZKFhGRytTYGDppadC1a7BEjH4SynS5IDMVhvxLbLuvGHR69YKtW0t/jir4\nSJXiNpCUu1/j7qn7WOaW2SbV3V+u0G64ux/l7ge6ez93XxHVL9TkWCIicRXPQZRqct8Vg82OHft/\nXWJTbybTEhGR+Jo2jSonm0qGfVcMH2lp+39dYqOeJyIiEpV4PhZfk/uuOFjg88/DjTdq9MiapgAh\nIiL1yr7CiPo81DzdwhAREZHQFCBEREQkNAUIERGJWV5eMPFW+/bBn2vXJroiqS0KECIiErPiMRdW\nrgz+vOiiRFcktUUBQkREYlZjg0tJnaMAISIiMYvn4FKS3PQYp4iIxKzimAsaY6HhUIAQEZGYxXNw\nKUluuoUhIiIioSlAiIiISGgKECIiIhKaAoSIiIiEpgAhIiIioSlAiIiISGgKECIiIhKaAoSIiIiE\npgAhIiIioSlAiIiISGgKECIiIhKaAoSIiIiEpgAhIiIioSlAiIiISGgKECIiIhKaAoSIiIiEpgAh\nIiIioSlAiIiISGgKECIiIhKaAoSIiIiEpgAhIiIioSlAiIiISGgKECIiIhKaAoSIiIiEpgAhIiIi\noSlAiIiISGgKECIiIhKaAoSIiIiEpgAhIiIioSlANGBZWVmJLqHO0TGLjY5beDpmsdFxqz1xCxBm\ndo+ZzTez7Wa2Mco2E8ysqMLyTrxqbOj0Dy08HbPY6LiFp2MWGx232tMojvtuDEwBPgEGh2g3A7ga\nsMjPu2q2LBEREamuuAUId38QwMyuCtl0l7uvi0NJIiIiUkOSsQ/Er8wsz8yWmtmzZpaR6IJERESk\nvHjewojFDOB1YBXQHhgJvGNmp7u7V9KmKcDXX39dOxXWI/n5+eTk5CS6jDpFxyw2Om7h6ZjFRsct\nnDKfnU3DtrXKP5f3sbHZSGDYfjZx4Dh3X16mzVXAk+4e+kqCmf0S+Bbo6+4fVrLNIGBS2H2LiIhI\nicvdfXKYBmGvQDwGTKhim5Uh91kpd19lZuuBDsA+AwTwLnA58B2ws6Z+t4iISAPQFGhH8FkaSqgA\n4e4bgA1hf0mszOxooDnwUxU1hUpNIiIiUuLjWBrFcxyINmbWDWgLpJpZt8iSXmabpWZ2QeTv6WY2\n2sx6mllbM+sLvAksJ4ZkJCIiIvETz06UI4Ary/xc3Kvl18DcyN87AodG/l4InBBp0wxYTRAc/t3d\nd8exThEREQkpVCdKEREREUjOcSBEREQkySlAiIiISGj1KkDEMoFXQ2RmN5vZKjPbYWafmtkpia4p\nmZnZmWb2tpn9GJng7feJrinZmdndZvaZmW2JjCz7hpl1SnRdyc7MhpjZIjPLjywfm9k/JbquuiTy\n3isysycSXUsyM7MH9jF55Vdh9lGvAgSlE3iNS3QhycrMLgUeBx4ATgIWAe+aWYuEFpbc0oGFwM0E\ng6VJ1c4ExgI9gXMI/m2+Z2ZpCa0q+f2DYLC+HpHlA+AtMzsuoVXVEZEvQ9cTnNekakuAI4AjI0vv\nMI3rZSfK6ox+Wd+Z2afAAne/LfKzEZy0nnb30Qktrg4wsyJggLu/neha6pJIQF0LnOXu8xJdT11i\nZhuAO929qkH8GjQzOwjIBm4C7gc+d/c/J7aq5GVmDwAXuHv3WPdR365AyH6YWWOCbzWzitdF5hiZ\nCZyeqLqkQWhGcPVGtxajZGYpZnYZcCDwSaLrqQOeAaa7+weJLqQO6Ri5Nfutmb1iZm3CNE62ybQk\nvloAqUBehfV5wDG1X440BJGrXGOAee4e6h5rQ2RmXQgCQ1NgK3Chuy9NbFXJLRK0TiL4giTR+RS4\nGlgGtAKGA3PNrIu7b49mB0l/BcLMRu6jo0fZpVCds6rN0L19iZ9ngc7AZYkupI5YCnQj6D8yDnjZ\nzI5NbEnJKzLlwRiCyaA06GCU3P1dd3/d3Ze4+/vAecBhwCXR7qMuXIGo1Qm86rn1BCN+HlFh/eHs\nfVVCpNrM7L8ITkxnunulc9pIKXffQ+k5LcfMTgVuI7i3L3vrAbQEsiNXuyC40nqWmd0CNPH62Nmv\nhrl7vpktJ5i8MipJHyBqewKv+szdd5tZNtAXeBtKLi/3BZ5OZG1S/0TCwwVAH3fPTXQ9dVgK0CTR\nRSSxmUDXCuteBL4GRik8RCfSCbU98HK0bZI+QIQR6QCSQZkJvCIvrYj2nk4D8ATwUiRIfAbcQdBJ\n68VEFpXMIhPAdSC41QOQGXlvbXT3fySusuRlZs8CA4HfA9vNrPiqV76770xcZcnNzB4GZhA8GXUw\ncDnQBzg3kXUls8i5vVzfGjPbDmxw968TU1XyM7NHgenA90Br4EFgD5AV7T7qVYAgugm8GjR3nxJ5\npG4Ewa2MhUA/d1+X2MqS2snAhwT9RJxgHA2Al4DBiSoqyQ0hOFazK6y/hhDfcBqgIwiOTysgH1gM\nnKsnC0LTVYeqHQ1MBpoD64B5wGmRq/5RqZfjQIiIiEh8Jf1TGCIiIpJ8FCBEREQkNAUIERERCU0B\nQkREREJTgBAREZHQFCBEREQkNAUIERERCU0BQkREREJTgBAREZHQFCBEREQkNAUIERERCe3/AcGP\nRnfvp+DhAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0xdc494a8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"splines_eq = sb.BSplines(x[:, None], df=[50], degree=[3], knot_kwds=[dict(spacing=\"equal\")])\n",
"mod_eq = GLMGam(y, smoother=splines_eq, alpha=1e-3)\n",
"res_eq = mod_eq.fit()\n",
"plt.plot(x, y, '.')\n",
"plt.plot(x, y_true, '-', lw=2)\n",
"plt.plot(x, res_eq.fittedvalues, 'r-', lw=2)"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"array([-1. , -1. , -1. , -1. , -0.87234043,\n",
" -0.74468085, -0.61702128, -0.4893617 , -0.36170213, -0.23404255,\n",
" -0.10638298, 0.0212766 , 0.14893617, 0.27659574, 0.40425532,\n",
" 0.53191489, 0.65957447, 0.78723404, 0.91489362, 1.04255319,\n",
" 1.17021277, 1.29787234, 1.42553191, 1.55319149, 1.68085106,\n",
" 1.80851064, 1.93617021, 2.06382979, 2.19148936, 2.31914894,\n",
" 2.44680851, 2.57446809, 2.70212766, 2.82978723, 2.95744681,\n",
" 3.08510638, 3.21276596, 3.34042553, 3.46808511, 3.59574468,\n",
" 3.72340426, 3.85106383, 3.9787234 , 4.10638298, 4.23404255,\n",
" 4.36170213, 4.4893617 , 4.61702128, 4.74468085, 4.87234043,\n",
" 5. , 5. , 5. , 5. ])"
]
},
"execution_count": 15,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"splines.smoothers_[0].knots"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"array([-1.38297872, -1.25531915, -1.12765957, -1. , -0.87234043,\n",
" -0.74468085, -0.61702128, -0.4893617 , -0.36170213, -0.23404255,\n",
" -0.10638298, 0.0212766 , 0.14893617, 0.27659574, 0.40425532,\n",
" 0.53191489, 0.65957447, 0.78723404, 0.91489362, 1.04255319,\n",
" 1.17021277, 1.29787234, 1.42553191, 1.55319149, 1.68085106,\n",
" 1.80851064, 1.93617021, 2.06382979, 2.19148936, 2.31914894,\n",
" 2.44680851, 2.57446809, 2.70212766, 2.82978723, 2.95744681,\n",
" 3.08510638, 3.21276596, 3.34042553, 3.46808511, 3.59574468,\n",
" 3.72340426, 3.85106383, 3.9787234 , 4.10638298, 4.23404255,\n",
" 4.36170213, 4.4893617 , 4.61702128, 4.74468085, 4.87234043,\n",
" 5. , 5.12765957, 5.25531915, 5.38297872])"
]
},
"execution_count": 16,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"splines_eq.smoothers_[0].knots"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"array([ 0.12765957, 0.12765957, 0.12765957, 0.12765957, 0.12765957,\n",
" 0.12765957, 0.12765957, 0.12765957, 0.12765957, 0.12765957,\n",
" 0.12765957, 0.12765957, 0.12765957, 0.12765957, 0.12765957,\n",
" 0.12765957, 0.12765957, 0.12765957, 0.12765957, 0.12765957,\n",
" 0.12765957, 0.12765957, 0.12765957, 0.12765957, 0.12765957,\n",
" 0.12765957, 0.12765957, 0.12765957, 0.12765957, 0.12765957,\n",
" 0.12765957, 0.12765957, 0.12765957, 0.12765957, 0.12765957,\n",
" 0.12765957, 0.12765957, 0.12765957, 0.12765957, 0.12765957,\n",
" 0.12765957, 0.12765957, 0.12765957, 0.12765957, 0.12765957,\n",
" 0.12765957, 0.12765957, 0.12765957, 0.12765957, 0.12765957,\n",
" 0.12765957, 0.12765957, 0.12765957])"
]
},
"execution_count": 17,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"np.diff(splines_eq.smoothers_[0].knots)"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"sig_e = 0.1\n",
"y_true = np.sin(1 * x**2) \n",
"y = y_true + sig_e * np.random.randn(len(x))"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x1034b748>]"
]
},
"execution_count": 19,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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jBly4YD0xKEid0LmzeiUNDbXuM5ngyy9VlGLMGCiBHv0dze+gaz2lSnkw9SAfbfjIqf9O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\nAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0xbb40b70>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"splines_eq = sb.BSplines(x[:, None], df=[50], degree=[3], knot_kwds=[dict(spacing=\"equal\")])\n",
"mod_eq = GLMGam(y, smoother=splines_eq, alpha=1e-3)\n",
"res_eq = mod_eq.fit()\n",
"plt.plot(x, y, '.')\n",
"plt.plot(x, y_true, '-', lw=2)\n",
"plt.plot(x, res_eq.fittedvalues, 'r-', lw=2)"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x1137df98>]"
]
},
"execution_count": 20,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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+hGNnyu+3/4mdVpd4t52HIT3dUNsCAdv8C4Aeh63VLZ07a0mU7WRM8hgKoqDc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\nEEIIn/1/jegJKP9ucjIAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x102b7278>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"mod_eq = GLMGam(y, smoother=splines_eq, alpha=1e-6)\n",
"res_eq = mod_eq.fit()\n",
"plt.plot(x, y, '.')\n",
"plt.plot(x, y_true, '-', lw=2)\n",
"plt.plot(x, res_eq.fittedvalues, 'r-', lw=2)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"# No automatic bandwidth selection yet"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.4.4"
}
},
"nbformat": 4,
"nbformat_minor": 1
}
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