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2014_08_08a_pymc_help_desk.ipynb
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"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# From [Stack Overflow: Logistic Regression in PyMC](http://stackoverflow.com/questions/25126444/logistic-regression-in-pymc)"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import pymc as pm, pandas as pd, seaborn\n",
"%matplotlib inline"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 8
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import StringIO\n",
"\n",
"df = pd.read_csv(StringIO.StringIO(\"\"\"ID,GotSick,Salad,Sandwich,Water\n",
"1,0,0,1,0\n",
"2,1,1,0,1\n",
"3,0,1,0,0\n",
"100,1,1,0,1\"\"\"))"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 2
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"x1 = df.Salad\n",
"x2 = df.Sandwich\n",
"x3 = df.Water\n",
"\n",
"### hyperpriors\n",
"tau = pm.Gamma('tau', 1.e-3, 1.e-3, value=10.)\n",
"sigma = pm.Lambda('sigma', lambda tau=tau: tau**-.5)\n",
"\n",
"### parameters\n",
"# fixed effects\n",
"beta0 = pm.Normal('beta0', 0., 1e-6, value=0.)\n",
"betaSalad = pm.Normal('betaSalad', 0., 1e-6, value=0.) \n",
"betaSandwich = pm.Normal('betaSandwich', 0., 1e-6, value=0.)\n",
"betaWater = pm.Normal('betaWater', 0., 1e-6, value=0.)\n",
"\n",
"# expected parameter\n",
"logit_p = (beta0 + betaSalad*x1 + betaSandwich*x2 + betaWater*x3)\n"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 3
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import pymc as pm\n",
"\n",
"@pm.observed\n",
"def y(logit_p=logit_p, value=df.GotSick):\n",
" return pm.bernoulli_like(df.GotSick, pm.invlogit(logit_p))"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 4
},
{
"cell_type": "code",
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"input": [
"m = pm.MCMC(locals())"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 5
},
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}
],
"prompt_number": 6
},
{
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"collapsed": false,
"input": [
"pm.Matplot.plot(m)"
],
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"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Plotting betaSandwich\n",
"Plotting"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
" betaWater\n",
"Plotting"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
" tau\n",
"Plotting"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
" betaSalad\n",
"Plotting"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
" sigma\n",
"Plotting"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
" beta0\n"
]
},
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Z3moef/Mnv7YakwjScFNZ53T65fmqP8/8RO/jtrLsBU7HD6ust7efeW8p9/xl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\nRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x1a7122b0>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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Np8VAaIrlxhRV7Y/NaTorzs+mZ0nHybuITZbRmLGJJma9uYbjx/bn5yHMoVHH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\n",
"text": [
"<matplotlib.figure.Figure at 0x1bb928d0>"
]
},
{
"metadata": {},
"output_type": "display_data",
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jkaZKkiSVSjOuI7YaeBfwpR2WHwisTimtB4iI+4AjgZvyvMn993+HH/zgUebP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\nAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x19bb4da0>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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zPVVs1FssscycThcvvhv4R4KPFbKxyMXqTSW8+P4aw8MIZn5+ZoQ7qdvUrQun\n08XWXeWNv2N+ym0ShOhQSvUC/ge8qrX+B/CO1tqrMb8DDMf4QFT4X642jsTZsjcyf9ZgywTr5fvr\n6NrR/Vf4yg3BikPgEtO4FRbCuuJLoFIWqCxFdbrTrx1XkByB7KuoaXSSD2nRcbmCtjuraurZtXc/\nfbrlB1WPNCXPlp3lfL6iKbxHdW09T/xrZePnWbef4KcoRbKcl1XW8fWa6MJ8+AZ4DTxda4TbmpOK\ny+Xi8xXbG5+hl2U/7ObwgV2oq2/g7lnGse2arF5RiQqYb3eWlFWzbotb4X3vy02ceUzfoDoxWe4a\nnHyri6iubaC2roGTRvUy3Mb1K/KxpD3xT/ecHtSrfdA9KdEqaRHK73K5FeYPF2/h4vEDGTusB3U+\nCl7Rviq27a6gZ5fcEK0kDqVUV+AT4Gqt9Wee4nlKqeu11stwx3P8BvMDUSGx+mBEpIic5mRnp/vb\nUONEpIdvEk0yyBAJdpEzHthCSXvmze/8Ppftr6W0ooYla3cZWs0CF/L0tKaQF5EQWC0wfVO4RdXM\nkufdFQp1t6/+Fy5eVyDT//4tW3dVcP9lwc70oTIn+BKobNTUBVuo/J9u+AU9FiXEVxH+es1OsjLS\nOH74Aaa9eRf7H7bu47VPdND1z77dxuEDu/Ckj8IZSKOSFoNJxyw8xuufBssSyLsLN9G/RwGH9u0Y\ncX8fLd7COwubLHPjDutB4Fw4Xf4j8VXqHQ73+1ViEE8vxUARrqltIDMj1VCWSC2PLpeL5et3A+6s\nDmOH9fDb7iytrOWuWUsjStWVIKbi3ra8Syl1l6fsRuBJpVQd8AtwhWdLNPBAVNhDA0lwMCIshYV5\nImcIqky+25tLRUW15c9d5j45sYWS9vHiLX6fn3l7FQBHD+kW0f1eJS0UK3QR7yzcxG0XDCcjzX8x\nesgnwbnL5QprSbv+6YWG5d4lM7R/krEFyX2/DwYL6dZd7hOBRXuDA4NWRxjANNx6G+h7FYnDfCx+\nbb4L/5ufubdKh/XvZNqYVy4zBdlrHfphq3lIvpq6Bl6Z9wNVNdEHe40phpkPz7+3mr/cODZsvRU/\nFjH8oEK27vY//fn6p5oLTlb+lV0YJ4l3uRUxMwuY0Xan11I5f3lwBo5ILctOaHxvve/25p3Nj38Y\nL7TWNwA3GFw6xqBu0IEoITSS+9HeyPxZgy2UNDPS04z/sg9cY9JT/RcGI/7iUfwWr9nFsUO7+10L\ndKaPNZex0aloAAAgAElEQVTks2+v4pJfDw65neZ3qjGwXoTdGo0zUktauDySgf5c9fXh241le9jo\nnltmfuVW1IzkcoZ2+g88/emlzCf3ZG1tA198tyNaUXn9U+2nvMRiOYw0wPJf/r2Kh68cE1S+etOe\nIAW7vKqOzPSmcW/YHtk+Tajtzg++3hxUFuiT9vdPNduKKphy/gi/cpePFdb7iOZ+5f8HmNB6kcXd\n3sj8WYMtDw54yTCxkAUueN7PkegKVTX1IXWh7RGmwDHih637uO2ZLyM+6RfqAEOoJd0wy1CEikM4\nBfSXgEwHkbQaS3gKMzkCLUheAi18gSgD3yuAG//yZePP4XKp+uLr4xdoXXr49W8Dq4clxRH5tuG3\nuphVAad9HcDzAYcGnn5zpXE2gzAZFUKlnyqrDLZUBp7u/O/ybYYWS5cr8hOmgiAIgs2VNKNtzL++\nvyZoJ7ApCbj50uDd4qmqrQ9Z78l/rTTc2orGehKq5prNe1i+fjd19U7mfr054jZ90zoZybLaINyG\nEeGUtGmvLfezyEQy7HDJ4GORI7iP0PXnL9/G+yEOi0DkW8IAd7xgnsbox20xeBY7HBErs//6bENQ\ngN3q2gZWBihum3eG99v4fMV2tpkovr54t4CN5iUanzQvG7btS6qtTkEQhGTE1kqakSVt8ZpdQZa0\nSBz2vacBq2sawioeRtejUURCtf/W5z/x7DurWbN5T1BoDz8rG/iZ0+7462L/azESIuRVI9+sL/Kp\nH763+vroJTJ7Rma7guESyu8tr+GdEGFXwD/1WDjK9sfXgdiBfwqnaDHLn2lsSWv6ubK6nm0mYVB8\nCZWT1Gw7OzC5fV29szHo8b6KWu6bLbFf2xISZ8veyPxZg6190sz8jAIX8pKyauobnKYLv8vlIisj\nlYqqurCWNDP++02wQ7UZkZwe3GcQJ8tXrs9XbGdov04+14zrRUu09xot0IFtxLLdaSaH2Tbvs++s\n4vrfDuWN//4YdV9NfUZXf/3WvXy4OHLFLhQOB37hKKLFPFaZwfzE0P62InNrm5nVMzC5/be6yLCe\n0DYQnyZ7I/NnDba2pJk5OBs5YXsTghvhGxG/uqYhIt+1QKLxZ1q9MfzW46sfrw8qi1Ss0srYUwhG\nu81oZEnb+Iv/NlYsJx/NLHqhHOxnvPV9s8YeLdP/vsI4wG8IHpqz3NCv0eFwhPWrC0W0VrgoYyED\n5opzpMFsI30PmvNHhiAIQmvC1kqa2YJstv6YffdX1dZTUubeLquqic2S1jE/OCl13AkUy2SgzbEm\nBSpHZiEtGusbPKtpry73+xyLT1ppZfQR9+3Aj9tKmWOggEPTCdVYiNyORsyJQctN3oVIT+9GGiQ3\n1tPTgiAIrQ1bb3ea+hAZrAUOzP9CL61oUvaq68L7pBnR3DhZkRC4eJUlwGoU7QIZmKTdiFiUtH9/\nYew/FosFKNkwUlZSHOFPqMZC8b5gXz13Lw7idcYyUiXtg68jC7fhdEJVTWKChgrWIXG27I3MnzXY\nWkkzwyhxOJgbEFwBHvmxLF0toaQFMvuj+CekToQVI57PJtJ4YsmMcQ5VR9gTqrFw7+xlhuWxKM5m\nTz7WNGlm/LB1b8jMEII9kcXd3sj8WUOrVNKWrw92UH57wUb2m+SvjDb9khH/+mxD1PdES0vsAiWi\nj3gqH7sNsim0Bly4+O/yn1ukr/I4W2CdTicffL2ZdVv2Mqh3h2a3tyLgVKggCEJbpVUqaUYs/P4X\n02uBloBkdYmJJadktEQa8yoa6iLIStDW2VNWw6JV0SWhj5Uigy3QSDB7Mxqcrsbt6bWbjayE0ZGX\nnd7sNgRBEFoDtj44EC8CQ0Qk6+myz1dsT3gfidjuTMQ2nhA7keSyNcLs1Yi3Ym+UO1SwPxJny97I\n/FlDm7GkhcLXYXvLrnL0NvMk3FZi5kwfT3aWmKcEipVY/J+ExJGW6iAWv3wzZSzePmlVtcZuCYK9\nEZ8meyPzZw2WKWlKqRRgJjAUqAEu01r/ZIUsgZa0v/5nrRViJAWRJuGOhtampA3p1ynq+GjJRKw6\nVXPjpEWKNwWVIAhCW8fK7c6JQIbW+ijgduBxqwRpTlwxITzNiaSfbHTpkE1mur29BGLd0t5jkAUD\n4m9JqxZLmiAIAmCtknY0MA9Aa70EGGWVIDv3xH+Lz67kZMXfuFrfig4OOBwO03RkdsEVo1L14GvL\nDcvj7ce4cYckXm+NiE+TvZH5swYrfdLyAd9v4walVIrWOmhvLD0txZI4ZG2RRBwcKClrPdkDHNjf\nsT3ecxxvS1pxaWynT4XkRnya7I3MnzVYaRIoA/J8PhsqaOB2dBYSx1nHDWj8Od7+Ra2NtLQUcnIy\nE9pHQW5GQtuPd5SVHwyD8wqCIAjNxUpL2iLgDOBNpdQY4HuziikpKUDr2TJLNk4c3oO3P3cH4w08\nRCG4OaRPB9Zu3ktDg5O6BPtMZWekUUriEsXHut1pRrwtaYIQD6qr42+RbWgQf0mhZbFSSXsHOFkp\ntcjz+RKzinbfXkp2UnxSLSVpiDjL8aajcjgc5GQn9tcm0e+7TLFgBS2Z+3HPnhL+eMuj5HQ4IL4N\np+eQ2T6+TdoFyd1pDZYpaVprFzApkrqipCUYix/vuScM4J//S3xarebg8Pm3d9e8UFWb31cryE8q\nCIG05OLuckF2x75kdj6oxfps7YhyZg22OKaWaCUt1gjsyc6kiYMjqme1DpxitQCR4KOlJfp0px0e\nhyAIgpB4bKGdpCZ4Uayrd5KVkZrQPqzg8IFdIqxprVaQYgPLkVdGB4lXKlubJW3kwYVWiyAIgmBL\n7KGktYBpobVZ034ztl/Eda3WCazuPzociVcqbfU8wpPXLrGnVQV7IHG27I3MnzXYIndnaguE4MhM\nT6WcGBIaJilnHNUn4rpWK0nJZjnqkJfJ3oDo+l4JUxyJ3440at97utSOHDagM5+v2G61GILFiE+T\nvZH5swZbmI9SUxIvZmYr3O6MFKuVJCu6H9q/k+m1EQcFb881PiOHNdudoXpM9ne3e6d2nDAizqfs\nBEEQ2gBiSfOQlZ5qaEFprZx/0kH83ZOz1Go7Vkv7pE08ti87iivNKxiI400u7sCRcKU22uaz0lOp\nqU3eOIKpKY4W+UNLEOyK1povv/oqrm3m5eYybOjQuLYptDz2UNLiZLk4bEBnvttQbHgtIz2VEaqQ\n+cu3xaWvcIwa2IVvftid8H7u+P0IHprzbVB5ZnqT9cVqS1q4QxsPXDaaP720JG799eiUQ/E+80CX\nRk/D5XPRCktafYhMEC3xR0xzSE1NwSXR2do8EmfLGIcjhXX7D2LtvF1xbTe/bgnPxVFJk/mzBpso\nabH9FR6Y8zPU4pqZntpiUT5zs9O5euJg/vjw/xLe10E9TSIvJtG6PkIVcuKInsz/NlhBHtKvEz06\n58Tcdm52OhVVwb6GIRUbg0tnj+vP9qJKfn+KwpHgh2f0tq//eZ9p/WSPIyhp3QSQxT0UGdn5cW8z\nvTorru3J/FmDLfYgYjX0nD2uv9/nUGtZIkJwnHpEr7i32RpJS03hglOU4bXmWmBm3HBsUJnT5Qpp\nPTRSwnp1yeXRq4+if48CEr5zF+ULn5LkW4mpKY6EK7aCIAitkeT+dvfgjDE3oCsgx1GohTkjPVhJ\nC2cBOKAwh4evHGN47eZzh3G6yQnLQLkiIT8nvmEMmrtodmmfHSdJmrjgZANFLQHWTafLFXL04XSk\nhFvSomw+Lcktaakpst0pCIIQC7ZQ0mLNJxl4X6jFNzM9lfR0/8eRnRl6N/j+S0fTpUM7w2vZGWmm\ni3ks45l05qHR3xSC5rqhDQlxOjJWThzZ01hRizPdO+Y0a/zJFsw22bc7k91nTmgZJM6WvZH5swZb\nKGnOOGX9DnWKMDMjlQljenP4wC5M/f1IjhjUhcnnHhZRuzefOyyozOFwmCoCsYynXVZ61PckErNn\nOSqC6PL3/fEI02uBzYZ7UpEoKJkBVtLe3fJCWsPC6UjN0YlyssK7gUZraU10Ro7m0Ck/ixSHbHcK\nbp8m8WuyLzJ/1pC83+4+xLI9CG5/pnYB1rALTz3YsG5megq52elMmjiYAT0LuOrMwRwYYSLtwX2D\nrUoOh7kiE244Rw3uhupZ4FeWEUVGhEBFwEiJbC5misxxw8PHw+qYb+7QGk04jk75Wbw45fiw9drn\nZQaVheqmV5fckO0l2pLme9glEpLVkpaTlcajVx9ltRiCIAi2xRZKmjO6NasRlytgMXaYL8BGPmnN\nITXFYXqCMpzSObR/J27//Ui/smgUg2mX+/vJDe7biYtMlNNYMVOmItmqS011cJXJ9m10ClDo5+gV\nxdC3MEQ3PQtzmXyeuRU10XHd6hqie+FtkaBeEARBiBp7KGkhlJqLxw/kurOGUGDgWG+kDPXvkW+Y\n1zI9zltGaakppttisZyDcOCO3B4JRocMIrFwRSVPBI/rrotHGZanpjg4uJdxaJCgRxZi7kM9xhNH\n9GxUVtMMTj92zAthzUtxcECIsB+OGJSiwC3XUERrSWupEBf9D4guTEAs7/nlpx8S/U2CLRCfJnsj\n82cNtlDSRg3qanotPyeD4arQ1JoQaNlxOByGeS3j7dyclmoemT6cJc1oO9DhcHBEiOfQ0kRiTerT\nzXhRT01xmPpRBc5jqCcV6jGeMPIAunV0K7VGSsyJI3vym7H9uOP3I0hNcXDFxCGN1xwOR8gtxJgM\nV47wMnuJVkkL3NL3jjuejB3WnZvOGcZJI3ua1jlsQGeOGNSF3Gyv/2TTYMNFCelZmMst5x0WkfIv\n2BPxabI3Mn/WYIuvxAtOG8jUgO0/L15lwWhRdQZud4bAyNrSHFJTUswPDpiYGDoXZHHtWUMYcEBB\n0DWHwx2cNxydC+IbwNCM0YfErjCGUoJi2Ur800WjuHj8QL8t1E4+iq6RQpielsIZR/XhoJ7teXHK\n8Rw/qimmXYojtJ9XLDKaNWd0gjiw7PyTDgrZ9q+P7uv3+ab/G8bEY/ua1I6Ni8cPol1WOof27Rh0\nrbfHd7PB6eKqMwczfsyBAH4nn8M9szsvHMkhfTqyp6xtpGUTBEGIhJg1E6XUb5RSr/t8HqOUWqyU\n+lIpdZdP+d1KqSVKqUVKqcM9ZZ2VUp8opRYopf6hlAoZdCstNYUBPYMVF2haTA0XVZeLtAi3MVvU\nkmZyT35OBiOU8elIh8NBBwMH+ECarBjNxyzO2/jRB9KzMLRzvREnjDigUQE1m5dAS0ooy5PXItmv\nRz5jh/Xwq+vrYxjJdqBvjZSE5Jo0luHas4YElfm+AyeP6sVJo0IHRc5t5z/nnQqyghS3UPxxwqAm\nKWP4NfD+7njn46SRPZl4bF+uO8vfOgnup3D2OH93g1vOO6wxSXz5/troBRAEQWilxLQSKaWeBh7E\nf+V5Dvid1voYYLRS6jCl1AhgrNZ6NHAe8Kyn7l3AHK31WGAFcGXMA/BIYLTd6QKuO9tnoQjRjtmi\nbBasNhypqSnNDjoQaEEZPahr2CCy8czDaWb9idVR/fenHMzUC90WUTOlOBorVaD+ZhYwNRJF3bfb\nFIcj7kp7frtg5fm+Px5BDwM/wxRHkzXNO6ZLfzUoqF5T/YAt/Shl8z0NHOkfNX79eTr0+o6mp6Xy\n66P7+m3b+74zOQF/SPjKm5NkoWaE+CE+TfZG5s8aYjUXLAIm4fl+VUrlA5la602e6x8DJwFHA58A\naK1/BtKUUp095fM8dT/y1I0J75e/oSO6q2krJnw7xuVmwWrDkZri8PiRdTE81GBEoNXopIAtuJQU\nBxOO7B2yjeYe9HvhlnGm8sQTM2Usqq3EAPnM5P3tcf2NL5jgCEiifuzQ7lHdH8idF42kfa7bCuq7\nZd2zS254pdozplDbr4FNBLY58di+TP39SA7t08G0De8zGmoQpPhWn5OuRo/Y21+o98UrvgsDJdJH\n3tNGH2jeiGBrxKfJ3sj8WUNIJU0pdalSalXAfyO11v8KqJoPlPl8LgcKPOWlYcorPGWxDcDz7X/m\nsf34XYDlKVyORj/irJB4t9iuOnMwp4TJ4XnByYq+3fO5ZPxA80oRjmPsYT0iltGI9LSmbcJoU/mM\nNNmqNePSXw3yUwDA4OCAwcrvrRF4xewR9SzM5ZGrjgwpi+97kuJw+CmLl0wwt2IFYpQxoX+PgkbZ\nunZsx1lj+3Gnx6JoZPbyVWS8Ywz1HqekOOga4rDAIX06MqBnAZPPG25aZ8KY3rx02/F+vnxeBvUJ\n9kPz698rawgtzXdeA8fiO+WxWPIEQRBaKyHDn2utXwZejqCdMsDXZJUP7ANqA8rzPOVlnjpFPmUh\nKSw0toh16phDYWEehYVw4AHteeO/PzZea9cu0+++rKx003by8rNNr0UrE0DXrgWN1o/cnOCFz/fe\nQf06c95poRWBzp1yaZ+XSW5uaL+0s06MLB5ank8ICl9ZfH/Ozja2ALZrlxE09qduGkefHgWs3Vhi\n2NaoQV2D7pl4QvDza7+rwu9zenpa0H3HjezJZ8u3keJw+F075ah2LNfF/Hps/6B7CgvzuOzMwQzq\n09Fw3qpr6/3q+m7VBdbv2NE8PMc5Jx/M65/qoL7HjezFD1v3MW5kT359bJNlL6Mi2FG+XbvMRqUm\n2/POFuSXBdXz0qUwjxfuOImL7plHWWVtkLze3xEz8gua3v127YLn3PfegqLKoOsZnq3ZtPRU89+v\n3KbnmRcQ/qRDh9DyCYIgtFXC56iJAK11mVKqVinVD9gEnALcAzQAjyilHgN6AQ6tdYlSahEwAXgF\nGA8sCNdHUVG5YXlpaVXjtcDQBZWVNX73TTjiwBDt7De9Fq1MAHtKmpSNysrghdj33tKyqrB979lT\nQV11LeXl1THL5EtZWVM7vvcUFZXz+DVH0+B08tmK7Yb3VlXVBvXjrKtnT0kF+/btN2z3sgkDI5Kt\nfbb/K1lXV+93X0FOBi7P6dgGpzOozWsmDg7q28tRg7qYXstv32SJ2runkoaaOsNxeHn4qiO5/fmv\ng8pLSiqCyoqKyjlCdabvlWMobJ/t115FVV1Q/f2VNY1Wqf2eZ11e0TRfD185httfWNz4eU9JJZkZ\nqTx29VEUtG8XJK/73Tb/VS/zef+qqoId9/3e1dKqoOv1dQ0A1NbUm85xtU+7FQHv8L59+ykqiswl\nQLAvXn8m2TKzJzJ/1tCcvQUX/jtOVwGvA0uAb7XWy7TW3wILga+Bt4BrPHUfAM5TSn0JjAaeiaTD\nc47rz3kn+m9p+vrqBDp7B27XdfIJTzG4n/8WTiL9r+KRC9K7RRSYGWH86AN59qaxEclxwgh3QNtw\n4TM65GXSuSA7xDMJFjjcECLN6NAxP4tnbxrbmBYrSAafRA7xnDO/xBQRzEfgL84ZR/Xh/kuPMN2W\ndDgcdOnQziBuX3BdFz5+XgbydenQjsevObpJFo8waakphjlejfz8Dig0twZGi1fWUMFr/cYd5EMX\nN1GEJEZ8muyNzJ81xGxJ01p/AXzh83kJEOT4o7W+F7g3oGw3bgtaVIwf43aa/8f8pi3NlABfoucn\nj+O2F76mtKI2ZJT3G387jPKqOm76y5fRihGSrh3bsWvPfr+yvICTfYHO2ZH4zXmrHD6wCy++v7ax\n/KjB3QxjbRnx+1MO5vjhB9C1YzuWrN0V/oYEKq6hyM5MC1JSvDga/xdf/E53RqA1B9YxymIRUb/h\nKpjMgW84lnDvj5GSdv6JB/HoP74L13tIZt7s/uPg2bdXAVH4pAWMunun+CmMgiAIrYm4bHdaSaD1\nLCM9lVvOG86ny7ZyYojo6CkpDgpyMujROYcdxZV+VrbmMO2y0TQEmBRGH9KVktJq/rNoMw1OV1Qp\ngrx4R5mWmsJ5Jx7UqKh6F+hHJh0ZkVJ1gEl8s+lXHRm0mJul4zJSCeKtz5npHQ6Hw8eSFs9e/ZV9\ngP87fgCZ6Sbx3OJm/jEIHeNy0T43g4qqOrIyU8P2F+5ErFEaq3jk+8zKcH99RGJJ8+3OV9znbh7X\nGCNNEARB8Mf2SlpXgxAZB3TO4eLxkZ3Iu/2CEWzZWU7f7tHlJTQjJcURtACmpqRwxtF9Wbt5L+t/\n3hekEEYSdsJ3kTbamutcEDp+WjgKDeKvmelAhlt0ibK6GZ7ujL8pzUiJCBUOIl46mlk715w1hHlL\ntvIrj/U4lE4Vy3Z6POPpNbVl/hJ4LX+BGTFEQWs7iE+TvZH5swZbKmk3/d8w5i/fxmWnH9Jsi0Bu\ntnGqm0Rw+RmH8NXa3Zw43D9MRtQLlc+Q24c57dkc4mGp6t8jn5Ky0IcdQspgVOiNuRVXQ1rTQ40s\n+G1iHam6dmjHH07zCckSUkkLs91p8Dvid0s0z9GgblMwW/PbhqtCLjhZcdiAzuifQx/mPv+kg9hT\nXsPcKMSKB0qpdGAW0BvIxO07uw6YDTiB1cA1WmuXUupy4AqgHnhAa/1BC4trO2Rxtzcyf9ZgSyVt\nSL9ODOkXHHQz2emYn8UlZxzaeALurotHsXbzXnpG4MSdYmJJi9QfLZBIFJyo1m6TBqdeODKuW6EO\n34MD8WzX5+dQgWMTyW+O7cs7CzcxbEDnoGvNsR4aWWrNrLexxCnzthXSJ83haHI/2Ba6PW8Q52uj\nlqTZXAAUaa0vVEp1AFbizogyVWu9QCn1HHCmUmoxcB0wEsgGvlRKfaq1lpxWgiDEFVsqadFy98WH\nJ3xbpWvHduwNEx4jkD7d8unTLcJtVr/tuJZRIuJhSfP1IYuG809WvPDemsbgsFedeSjPv7eGM4/p\ny8+7vWEu4qemOaJ8vpGO6cQR5n6R4P+Mzzi6L6cccaChz2JzptxIITMb46lHHMi23RU0uFys3rgn\novYbLWnO0PUa60dWzQrexH0KHdwHeOuAEVprb4igj3CHF2oAFmmt64A6pdQGYCjwTQvLKwhCK6dN\nKGm9uyU+UOa0y0fH2ZHdHysWNnOfNCNn9/j23bMwl/svG934+YhBXRl5cCGpKSmNAYvjGoIjAYrv\nlN8NZ2Bv81RM0BSapG939ztqdqgkLS32aDlhtzt9yM1O54ZzhlFRVcczb6/iN8f2Ddt+00ncCCck\nSbU0rXUlgFIqD7fC9ifgMZ8q4TKpCCEQnyZ7I/NnDW1CSWsJUhyOhAZ8ircSEUlzZkuuVWtsqicg\nmFd2iyKEREwk1tu01BSeu3kc6SanSL0MOrADY4d1Z8wh3eIlXkhys9O5/YIREdXN8owzK8JTy4k4\n+BEvlFK9gLeBZ7XWbyilHvG57M2kEphhJQ/Y23JS2hNZ3O2NzJ81iJIWJWMO7criNRHEGIszfnG8\nWmiNi8YymJHur0C1CBZqabH6AhoRiTKXkuKI+MRyIImek98e15+6eidnjYssVlyyBq9VSnUFPgGu\n1lp/5ileoZQa54kLOR6YDywFpimlMoEsYBDuQwUhsUvqq9Ygp8NRE5cwM3YmVJo2M1rD3Lc2REmL\nklSLVhi/buMgQ0QHB0z3O/0/XnTqweR5cj4mMnODl0gc1RNNeloKj0w6kinPBaeG8hJJaJWWINFS\ntM/NZJInHZfNmYp72/IupdRdnrIbgBlKqQxgLfCW53TnDNzZVFJwHywIe2gg2rRzVlBYmNcq5Cwp\nqcAZ6rhxG6C+riGquWwtc9/aECUtBu774xFBQXQTjRVbRGbfcYGSjFCFCZclpAAWkZsdnIKpJbnt\n/OFU1zaErdcSPoTR0FIHX6JFa30DbqUskOMM6r4EvJRomVoT4tNkb2T+rEGUtBjo2cU4an8iCZH6\nMHGYOqWZS9AS66/XQmUUSb8lCafoJPpZHHxg6EMJTYLEr8+IDweEoCDHbXXNyZKvn7aELO72RubP\nGuRb0iaESlCdKAK3E3sW5rKtqILhBnG8vESaSL05nHJELzb9UsZZMebLjBfpnhOXgVH0vVhtMeqQ\nl8ne8hqykyyq/0E9C7hkwkAGRapkCoIgtFFESYuS1BiCfcabeCz9kegP4w47gEWrdzZ+Pm10L44Y\n1DVkwNM+3fKYeExfhvRPXLDh/HYZ3Pq74QlrP1LSUlN4+vpjTA8RWL2p9+AVY6isqiM9LVhJi4dF\nLFYcDgfHDu0RvqIgCEIbR5S0KOjfIz+iuFGJJh4Wmkh8kgb0LOCl247nsunug24NTpehgubblMPh\n4NfHWP+MYuHscf3olG9sFTPDe2DCEIu1tMz0VNO4a4LQ0ohPk72R+bMGUdIiICM9hdo6J7ecN7zF\nE0JPu3w0+yqsyzbje0LRSmfzluBXR/aJa3tWb3cKQjIhi7u9kfmzBlHSIuCxq49mX0VNiytoAN07\n5dC9k39uT6uW/oY2fqQ9WpJRRUtPS6Gu3mn5yVRBEAQhPKKkRUBudrosagT7sfXqmsvPuyqSzjE9\nWUhGQ9pDV4xh664KunZoZ7UogiAIQhhESbMjLbz4T/39SD5etpUjD/VPSfT0zcezdfveFjnRaUeS\ncbuzY34WHaP0u/NDjKlCjIhPk72R+bOGqJU0pVQBMAd3vroM4Gat9WKl1BjgKaAe+ERrfZ+n/t3A\nBE/5jVrrZUqpzsDfcadU2QFcorWuiseA2gKpLRwfbEDPAgb0HBJUnp6WQn4ox/k2TvKpaIJgHbK4\n2xuZP2uIJZ7ETcCnWuvjgIuBZz3lzwO/01ofA4xWSh2mlBoBjNVajwbO86l7FzBHaz0WWAFcGfsQ\n2h6jDu7C0P6dmHzeYVaLIoQgCQ1pzac1jkkQBCFJiUVJexL4q+fndKBKKZUHZGitN3nKPwZOAo7G\nnbAYrfXPQJrHinY0MM9T9yNPXSFCMtJTufGcYRzap6PVogihaJVamiAIgtBShNzuVEpdCtwYUHyx\n1nq5Uqob8BruXHcFQJlPnXKgH1ANlASUFwD5QKmnrMJTJgitClHRBKEJ8WmyNzJ/1hBSSdNavwy8\nHFiulBoCvAFM1lovVErl4/ZR85IP7ANqA8rzPOVlnjpFPmUhKSzMC1fFNiTDWPLy9jb+3Bx5kmEs\n8U6rjpYAACAASURBVCLeY+nUKZfCji1/ijLaceQXZEd8T8Guipj7Edo2srjbG5k/a4jl4MAhwJvA\nOVrrVQBa6zKlVK1Sqh+wCTgFuAdoAB5RSj0G9AIcWusSpdQi3IcJXgHGAwvC9VtUVB6tqElJYWFe\nUoylrLzpnEas8iTLWOJBIsayZ08FKQ0NcW0zHLGMo6y0KuJ7Ssua/94IgiAIkRFLCI4HcZ/qnKGU\nAtintf4NcBXwOpAKfKy1XgaglFoIfI3b/+0aTxsPAK8opS7HbU07vzmDEAQhek4/qjdzv9pC/wPE\n20AQBCEZiVpJ01pPNClfAhxpUH4vcG9A2W7cFjTBIhziMZVwkv0ZnzW2PxOP7eeX+issEidNiBHx\nabI3Mn/WIMFsBaENE5WCJgjNQBZ3eyPzZw2xhOAQBEEQBEEQEowoaW0Ul+xbJZzWaKQ6oEsuAMP6\nd7JYEkEQhNaPbHcKghAxXdpn8+S1R5Mn6cCEKBGfJnsj82cNoqQJQoJIxgTr8aAgN9NqEQQbIou7\nvZH5swbZ7myjJPvJQ0EQBEFo64iSJgiCIAiCkISIktZGkYMDgiC0JDNnPtHo1yTYD5k/axCfNEEQ\nBCHhiE+TvZH5swaxpAlCgkhNFb8/QRAEIXbEkiYIceb2C0awcUcZ+RKmQhAEQWgGoqQJQpxRvdqj\nerW3WgxBSCokzpa9kfmzBlHSBEEQhIQji7u9kfmzBvFJEwRBEARBSEJESRMEQRAEQUhCREkTBEEQ\nEo7E2bI3Mn/WID5pbZS0FNHPBUFoOcSnyd7I/FlD1EqaUioH+DvQHqgF/qC13qGUGgM8BdQDn2it\n7/PUvxuY4Cm/UWu9TCnV2dNGFrADuERrXRWPAQmRMWpgId9t6MKJI3taLYogCIIgCAbEYk65DFim\ntR4HzAGmeMqfB36ntT4GGK2UOkwpNQIYq7UeDZwHPOupexcwR2s9FlgBXNmcQQjRk56WyqSJgyVU\nhCAIgiAkKVEraVrrp4EHPR97A3uVUnlAhtZ6k6f8Y+Ak4GjgE899PwNpHiva0cA8T92PPHUFQRCE\nVor4NNkbmT9rCLndqZS6FLgxoPhirfVypdR8YDBwClAAlPnUKQf6AdVASUB5AZAPlHrKKjxlgiAI\nQitFfJrsjcyfNYRU0rTWLwMvm1w7USl1MPABMBzI87mcD+zD7bPmW57nKS/z1CnyKTPF4XBIEkRB\nEKJGKdVOa73fajkEQRBiIertTqXUHUqpCz0fK4F6rXU5UKuU6qeUcuC2ri0AFgGnKqUcSqkDAYfW\nusRTPsHTxnhPXUEQhHgzTSn1pFLqKKsFEQRBiJZYQnC8DLyilPojkApc4im/CnjdU/ax1noZgFJq\nIfA1boXwGk/dBzxtXI7bmnZ+zCMQBEEwQWt9k1JqADBbKVUK/F1r/brVcrVFJPejvZH5s4aolTSt\n9W7c1q/A8iXAkQbl9wL3RtKGIAhCPFFKvQLsBC7XWq9TSj2G+49JoYWRxd3eyPxZgwSzFQShNTMH\n2AL0Ukp11FrfYrVAgiAIkSJh5wVBaM38AdgIfAZcYbEsgiAIUSGWNEEQWjM1uE+fA7isFKStIz5N\n9kbmzxqSWklTSqUAM4GhuL9sL9Na/2StVKFRSqUDs3AH+s3EfUhiHTAbcAKrgWu01i7PwYkrcKfM\nekBr/YElQodBKdUFWA6ciHsMs7HhWJRSdwBnAOnAM7hPGc/GRmPx/E68BCjccl8ONGC/cYwGHtZa\nH+917CcC+ZVS2bi3MAtxx138g9a6OERXtwL/h/u7bkqIekKCkcXd3sj8WUOyb3dOxJ3J4CjgduBx\ni+WJhAuAIk/Kq9Nwp8J6HJjqKXMAZyqlugHXAUcBpwIPKaUyLJLZFI/S+QLucCsO4AlsOBal1HHA\nkZ536TjcwZbtOC+nADme9Gv34c7+YatxKKWmAC/i/iMGonunJgErPXVfBf4UprvzPW2MBKbHeyyC\nIAiJJKktafikj9JaL1FKjbJYnkh4E3jL83MKUAeM0Fp7Y8F9hHuhbQAWaa3rgDql1AbcFsNvWlje\ncDwKPAfc4fls17GcAqxSSr2LO5DyrcClNhxLFVDgiUdYgDtg9GibjWMDcBbwmudzNO/U0TQpW/OA\nP4fpq7vW+qJ4Ci8IgtBSJLslLR//dFMNnu2epEVrXam1rvDkM30T91/6vjIbpcbyLU8alFIX47YK\nfuIpcnj+82KbseDeHhsJ/BZ3TL+/Y8+xLAKygB9wWzhnYLNxaK3fxr2F6SUa+X2/EyIZ08FKqWuV\nUpd6YjsKFiG5H+2NzJ81JLslrQz/tFIpWmunVcJEilKqF/A28KzW+g2l1CM+l70pswLHlgfsbTkp\nI+ISwKWUOgk4DHgFt7LjxU5jKQbWaa3rAa2UqgYO8Llul7FMwW1hulMp1RP3qcV0n+t2GYcvvr/T\noeQPLA+bUg74S7TCBPjLDQfeB370XJ6ptX4zmf39khXxabI3Mn/WkNRWKXzSRymlxgDfWytOeJRS\nXYFPgCla69me4hVKqXGen71psJYCxyqlMpVSBcAg3E7TSYPWepzW+jit9fHAd8BFwDw7jgX4EreP\nIEqpHkA7YL4Nx5JDkyVpL+4/tGz5fvkQjfzRppQbBVwNdMdtSQ2Jgb/cSOAJrfXxnv/eTGZ/P0EQ\nWhfJbkl7BzhZKbXI8/mSUJWThKm4t2DuUkrd5Sm7AZjh+SJfC7zlOb02A1iIW1meqrWutUTiyHEB\nk4EX7TYWz8nAsUqppbhlvBrYjP3G8ijwN0+6tXTcvoLLsd84oCkkRqTvVI1S6jncKeUW4j7xHS6l\nXB/gJ631P5RSz0QgU6C/3EhAKaXOxG1NuxE4guT19xMEoRXhCF9FEATBniilnsa9rf1fYKzWOmye\nYKVUH+ANrfWRHr/MlVrrFUqpqUAH3FblIVrr2z31XwFe1VrPN2vT5XK5iorKmz2eRFNYmEei5Ixn\nnK1wcpaUlHDtQ2+R3fmgZvcVK3OfmAjA6Te/a0n/udXrmXHPpIjrh3umyRInLZHvaDzp0iU/LvpV\nslvSBEEQmsMtwMlAKnBxDPe/o7X2HmB4B7eP2wJi8PcrLMwLVyUpSJScd999d1zbCyWnw1FDSkrb\ntkGkpadGPZeh6sd7/pqDXX6X4oEoaYIgtGb+6vm3PXAlcHqU989TSl2vtV4GnIR7S3MpME0plYn7\npG1E/n52+OvfLlaK8Ja0CpzOtp1gor6uIaq5bC1z39oQJU0QhFaL1rrRj1Up9VQUt3pX+KuAZ5VS\ndcAvwBWeEDvJ7u8nCEIrQJQ0QRBaLUqp+z0/pgEHRnKP1noz7pObaK1XAscY1HkJd3ouIUKSxadJ\niA2ZP2sQJU0QhNaMV5GqB3ZYKUhbRxZ3eyPzZw2ipAmC0Jp5BvgZt5I2WCn1ndZaVhtBEGyBKGmC\nILRm1mqtbwNQSj2mtb7FaoEEQRAiRZQ0QRBaMxlKqVtxh+CQ7zsLEZ8meyPzZw3ypSUIQmvmVuAg\noIPW+iurhWnLyOJub2T+rCHZc3cKgiA0hxm4U2flKKVesFoYQRCEaBAlTRCE1kw9sE1r/SlQZ7Uw\ngiAI0SBKmiAIrZnNwAlKqTeAfRbL0qaZOfOJRr8mwX7I/FmD+KQJgtCaKcOdzilFa11mtTBtGfFp\nsjcyf9YgSpogCK2Zc4F2QKVSyqW1nmW1QIIgCJEiSpogCK0SpdTLwANAX2CTxeIIgiBEjfikCYLQ\nWsnQWn8BjNNaf+H5WbAI8WmyNzJ/1mALS1pdXb1r7979VosRFzp0aIeMJfloLWNpLeMA6NIl39HM\nJroppU4EuiulTgAcWuv5cRBNiAHxabI3Mn/WYAslLS0t1WoR4oaMJTlpLWNpLeOIE68DPYE3gF4W\nyyIIghA1tlDSBEEQokVrPdtqGQRBEJqD+KQJgiAICUd8muyNzJ81iCVNEARBSDji02RvZP6sQSxp\ngiAIgiAISYgoaYIgCIIgCEmIKGmCIAhCwhGfJnsj82cNCfVJU0qNBh7WWh8fUH4G8GegHpiltX4p\nkXIA7Ny5k27duiW6G0EQBMEA8WmyNzJ/1pAwS5pSagrwIpAZUJ4OPAGcDIwDrlBKdYm1n48+msvC\nhZ+Hrffgg/eYXpsx43Eeeug+pk9/gEcffRCn02lY77rrrgzbzx13TA5bRxAEQRAEIRyJtKRtAM4C\nXgsoHwRs0FqXAiilvgTGAm/F2tG7777NypXfUVFRzpQpd/LFF/9jxYrlOJ1O+vbtR8+eB7Jjx3a+\n/fYbVq5cQWVlJbt27eSkk07h8MPHsHbtGp56aiZZWVksWrSQffv2smbNKpYs+RqAdu1yuPrq6wGo\nq6vjscceIj+/gC1bNnPddTdRV1fHrFkv0KVLVzZt2ugn2+rV3zN37ntkZWVTWVnBU089zvz5n7Bi\nxbeUlZUyfvyvyMrK5r333iYvL5+8vDyuuOJqzjnn14wYMYpBgw7hww/notTB3HjjraSlyYFcQRAE\nQWgLJGzF11q/rZTqY3ApHyj1+VwOFDSnr9NOm8DJJ5/Ga6/9jaVLF/PKK7M48sijcblcLF/+DWef\nfS7du/dgxIhRpKWlUV9fz6pVK1m0aCHjxp3A5Mm3M3v2S1RV7ScnJ5dRo46ge/cDOPXUCezYsZ03\n3pjTqKQ1NDQwYcIZ7N+/n+LiIlav/p5ly5YwefIddOjQgc2b/fM4d+jQkfHjz6C4uIjnn/8LAHPn\nvseTTz5LXV0dW7ZsZubMp5k+/UnS09OZPn0amzdvIicnlzvuuIsVK5Zz6KFDuOEGsdAJgmBfvP5M\nsm1mT2T+rMEKs0wpkOfzOQ/+v717j7Ksrg48/q1qqpqGrn4QChEhEEZ3ogsZQncCNgmPJaBMYInG\nJMO4IGDABNDoCMsgiTDJmJgVBkwwojyFxMisgEIUhtcYFOhkoGFEYJTsAIEVhKXVbdPdPPpZNX+c\nW3C7uvpWVVedOufc/n7+qTrv/bvn3Hv2Pb99z2F1pwUOOOAAnn322XGnDQzsysDAAIODAyxaNJ89\n9pjPnDk9XHDB+eyyyy7ceOONDA4O0Nc3hwUL+rnuui9zzjnncPjhS7n99h+zcuXzPP/803zmM58G\n4Morr+Shh+7jO9/5Du9973t517uWcsstf//6OlavfpFvfevrnHbaabzzne9gYGBX5s3rZ/HieQwO\nDjBv3lwGB99o3pVXfp0DDzyQpUuXsnjxIgB6ekYYHBxg8+bNPPHESvr65rDnnvPp7+9n3rw+Fi/e\njT32WMTg4AALF85j77333GqddVLXuHZEt7SlW9qh7uLJvdncf9WoIkl7EnhbRCwGXqHo6rxkooWG\nhtaNO37duvXceec9PPHEk6xatZITT/wgp5xyGr//+59g7txdOeSQQxkaWsfGjZu55Zbb6e/flXvu\nuZc5c+awatVqFi3am+9//39y990fYbfddmfjxo2cd94FPPro49x33z+xYsX32LJlhB//eA2bNm1h\n06YefvrTNdxxxz2sXDnExo3D/OZvnspFF/0xg4N78dxz/75VrAsX/gwPPvgwTz/9HCMjsHr1ao49\n9gTOP/8C1q9/jRNOOJHf+q1TOf/8P2Dx4j0YGFjMwoVvYtOmLQwNrWPNmtd49dWN221/lQYHB2oZ\n147olrZ0SzskSdBT5spb3Z1fy8xlEXEKMD8zr46IE4GLKH64cG1mfqnTevbff/+RFSseLzPUWdNN\nJ1HbUj/d0g6AvfZaUOrn02waGRkZacJ+acrxM1Gcq1at4qOfu5l5e75tFqPa2m2XnQzAiZ+8tZLt\nz1//L1z+386e9Pzdsu/rYqY+v0q9kpaZzwLLWv/f2Db+NuC2MrctSaoPa5qazf1XDX8qKEkqnSf3\nZnP/VcMnDkiSJNWQSZokSVINmaRJkkrnsx+bzf1XDWvSJEmls6ap2dx/1fBKmiRJUg2ZpEmSJNWQ\nSZokqXTWNDWb+68a1qRJkkpnTVOzuf+q4ZU0SZKkGjJJkyRJqiGTNElS6axpajb3XzWsSZMklc6a\npmZz/1XDK2mSJEk1ZJImSZJUQyZpkqTSWdPUbO6/aliTJkkqnTVNs2vdpl05/0+vmvT8c/vnsGHj\nlg5zzAfgjnvu5YTjjplmdJqsUpK0iOgFrgAOBjYAZ2bm023T3w9cCIwA12Xml8uIQ5KknVHPwP78\ndCoLbAHmTDzbT1ZOaa2aprK6O08G+jNzGXABcOmY6ZcBxwFHAOdFxMKS4pAkSWqkspK0I4A7ATLz\nQWDpmOmbgEXAPKCH4oqaJKlLWdPUbEsXPMrSBY9WHcZOp6yatAXA2rbhLRHRm5nDreFLgUeAV4Cv\nZ+basSuQpCpExGHAn2fmMRHxVuB6YBh4Ajg3M0ci4izgI8Bm4LOZeXtlATeENWnN9vDaQwA4avHq\niiPZuZR1JW0tMNC+ndEELSJ+FvgosD9wAPCmiPhgSXFI0qRFxKeAq4G5rVGXARdm5pEUV/3fFxF7\nAx8DlgHvAT4XEf1VxCupu5V1JW05cBJwU0QcDjzWNm1XihLFDZk5HBE/oej67GhwcGCiWRrDttRT\nt7SlW9pRkaeADwB/2xo+NDPva/1/B3A8xefX8szcBGyKiKcofiT18GwHK6m7lZWk3QIcFxHLW8Nn\nRMQpwPzMvDoibgD+KSLWU3woXj/RCoeG1pUU6uwaHBywLTXULW3plnZUJTO/EREHtI3qaft/HbCQ\nopxjzTjj1cFoPZrdns30Rj3a/pXGsbMpJUnLzBHg7LGj26Z/Hvh8GduWpBk03Pb/AuAlti3nGAAm\nLNRpyhXOsuK8+OKLZ3R9neLs6dlAb2/Pdqdr6kZr0n5tv1crP5ar3v5s8ma2krR934uIozLzu8AJ\nwLeBh4A/jYi5FOUbb6f4UUFHTbjCWcWV2L/88g08/eIrU1qmr28OmzZt/8arw8Nb6J33lumGpnG8\n/PKGSo/lna23wCRNkrY1elug84CrWz8M+AFwc+vXnZcD91P8+OrCzNxYUZyN99qmHl6Z9wtTX3CC\ns1ffjoUj1YpJmiS1ycxnKX65SWb+K3D0OPNcA1wzq4E1nDVpzWZNWjVM0iRJpTM5azbvk1aNsu6T\nJkmSpGkwSZMkSaohuzslSaWzJq3ZrEmrhkmaJKl0JmfNZk1aNezulCRJqiGTNEmSpBqyu1OSVDpr\n0prNmrRqmKRJkkpnctZs1qRVw+5OSZKkGjJJkyRJqiG7OyVJpbMmrdmsSauGSZokqXQmZ81mTVo1\n7O6UJEmqIZM0SZKkGiqluzMieoErgIOBDcCZmfl02/RfAi4FeoAfAadl5sYyYpEkVc+atGazJq0a\nZdWknQz0Z+ayiDiMIiE7GSAieoCrgF/PzGci4izg54B/KSkWSVLFTM6azZq0apTV3XkEcCdAZj4I\nLG2bFsAq4JMR8R1gUWaaoEmSJLUpK0lbAKxtG97S6gIF2BNYBnwBOBZ4d0QcU1IckiRJjVRWd+da\nYKBtuDczh1v/rwKeGr16FhF3Ulxpu7fTCgcHBzpNbhTbUk/d0pZuaYe6izVpzWZNWjXKStKWAycB\nN0XE4cBjbdOeAeZHxH9o/ZjgV4FrJlrh0NC6UgKdbYODA7alhrqlLd3SDnUfk7NmsyatGmUlabcA\nx0XE8tbwGRFxCjA/M6+OiN8Bvtb6EcHyzLyjpDgkSZIaqZQkLTNHgLPHjm6bfi9wWBnbliRJ6gY+\nFkqSVDpr0prNmrRqmKRJkkpnctZs1qRVw8dCSZIk1ZBJmiRJUg3Z3SlJKp01ac1mTVo1TNIkSaUz\nOWs2a9KqYXenJElSDZmkSZIk1ZDdnZKk0lmT1mzWpFXDJE2SVDqTs2azJq0adndKkiTVkEmaJElS\nDdndKUkqnTVpzWZNWjVM0iRJpTM5azZr0qphd6ckSVINmaRJkiTVkN2dkqTSWZPWbNakVaOUJC0i\neoErgIOBDcCZmfn0OPNdBazKzE+XEYckqR5MzprNmrRqlNXdeTLQn5nLgAuAS8fOEBG/CxwEjJQU\ngyRJUmOVlaQdAdwJkJkPAkvbJ0bEMuCXgSuBnpJikCRJaqyykrQFwNq24S2tLlAi4s3ARcBHMUGT\npJ3CFVdc9npdmppn6YJH2+rSNFvK+uHAWmCgbbg3M4db/38Q2BP4X8DewG4R8cPM/JtOKxwcHOg0\nuVFsSz11S1u6pR3qLtakNZs1adUoK0lbDpwE3BQRhwOPjU7IzC8AXwCIiN8GfmGiBA1gaGhdSaHO\nrsHBAdtSQ93Slm5phySpvCTtFuC4iFjeGj4jIk4B5mfm1WPm9YcDkiRJY5SSpGXmCHD22NHjzHdD\nGduXJNWL90lrNu+TVg1vZitJE4iI/wusaQ0+A3wOuB4YBp4Azm19OdV2mJw1mzVp1TBJk6QOImJX\ngMw8pm3cN4ELM/O+iPgS8D7g1opClNSlTNIkqbP/SPEr9LsoPjP/EDg0M+9rTb8DOB6TNEkzzCRN\nkjp7BbgkM6+NiLfRulF3m5eBhbMfVrNYk9Zs1qRVwyRNkjpL4CmAzPzXiFgF/GLb9AHgpYlW0pT7\n15UV58UXXzzu+Llz+4o0WLU2WpP2a/u9WvmxXPX2Z5NJmiR1dgZwMHBuROxDkZTdHRFHZeZ3gROA\nb0+0kibcv66K++xt2LBpVren6Xn55Q2VHss7270gTdIkqbNrga9ExGgN2hnAKuDqiOgHfgDcXFVw\nkrqXSZokdZCZm4FTx5l09CyH0mjWpDWbNWnVMEmTJJXO5KzZvE9aNXqrDkCSJEnbMkmTJEmqIbs7\nJUmlsyat2axJq4ZJmiSpdCZnzWZNWjXs7pQkSaohkzRJkqQasrtTklQ6a9KazZq0apikSZJKZ3LW\nbNakVaOUJC0ieoErKJ53twE4MzOfbpt+CvBxYDPwOHBOZo6UEYskSVITlVWTdjLQn5nLgAuAS0cn\nRMQ84L8DR2fmrwALgRNLikOSJKmRykrSjgDuBMjMB4GlbdPWA+/KzPWt4V2A10qKQ5JUA1dccdnr\ndWlqnqULHm2rS9NsKasmbQGwtm14S0T0ZuZwq1tzCCAiPgbsnpn/u6Q4JEk1YE1as1mTVo2ykrS1\nwEDbcG9mDo8OtGrW/gJ4K/DrJcUgSZLUWGUlacuBk4CbIuJw4LEx06+k6PZ8/2R/MDA4ODDxTA1h\nW+qpW9rSLe2QpJ1dWUnaLcBxEbG8NXxG6xed84GHgQ8D9wH/GBEAf5WZt3Za4dDQupJCnV2DgwO2\npYa6pS3d0g51H++T1mzeJ60apSRpratjZ48d3fb/nDK2K0mqJ5OzZrMmrRo+FkqSJKmGTNIkSZJq\nyMdCSZJKZ01as1mTVg2TNElS6UzOms2atGqYpEmSJrR27Rqu/dqt9PfPndH1Pv/jVTB/3xldp9Qt\nTNIkSRNauXKIf36mh/l77DWzK54/w+uTuohJmiSpdKM1TaPdZmoWa9KqYZImSSqdyVmzWZNWDW/B\nIUmSVEMmaZIkSTVkd+csWLLkIAAeeeSJiiORpGpYk9Zso/vvHx/p5YHH/npG192zYYirLvvjGV1n\ntzBJkySVzuSs2Ub335w9YcsMr7tv7Q9meI3dw+5OSZKkGjJJE0uWHPR6l6wkSaoHk7QOTF7K4esq\n7XyWLni07V5bahr3XzWsSZMklc6atGZz/1XDJK0Ljb1K5a9KNV3+QlmSZp/dnTVn16AkSTunUq6k\nRUQvcAVwMLABODMzn26bfhLwGWAzcF1mXjOZ9fptXk1Q5nHqe0BN5X3Sms39V42yujtPBvozc1lE\nHAZc2hpHRPQBlwFLgVeB5RHxzcz8SUmxTNvOfmKsU/vrFEu38bVVmTy5N5v7rxplJWlHAHcCZOaD\nEbG0bdrbgacycw1ARDwAHAncPJUNdDqhzMaVjFE7uo26nhDrGtdMKat9U1lvt7/GkqSZUVaStgBY\n2za8JSJ6M3O4NW1N27R1wMJOK3v++QdYsmR3XnjhAYCt/n/zm18CYJ993vL6/O3zvTHuR9vMN5HR\n9Yxq3277uK2X+dFWw/vs85at4untheHhzvGPF8PY7Uw17vHnG41129d169du/BhG2zJVO9KmmVi2\n0/KTaUunY2i8Y3P7r3t57e/UjoneA53WPd3XfbIxjJ1PknZmZSVpa4GBtuHRBA2KBK192gCwutPK\n9t1339bf/drG7be92bea9vzzz293XPv6xxs33jbGG/fGNjovM9F8ndbXPm68WCcbY/syk23fZGOY\n/PTx9s++24ybaNlOxotlKq9np9dr/HVve2zOVAztr81MxL89k23fRMdfp/kmev+0b++55zqGq4ax\npqnZ3H/VKCtJWw6cBNwUEYcDj7VNexJ4W0QsBl6h6Oq8pNPKnn0WhobW7WAooxfp3lh+yZIjtppj\nxYonxh03WaPLTrzMQgYHByZsy3jrax+3Y7EubK3noCkss/24liw5gt7eHoaHR7aJq1j3ttubqF1j\nx43a3rJTibXTdju1pT2G8WPe9vjakRgm+3p1WjdAb28PK1Y8PmPH82T3T6f1THa+sdvba69Jh6wG\n8OTebO6/apSVpN0CHBcRy1vDZ0TEKcD8zLw6Ij4J3EVxC5BrM/PFkuIY12gt0Ezd2mK2a4tmOv7p\nmG7b61SXNdlYZnq+spafCePF0PT3jyQ1RSlJWmaOAGePHd02/TbgtjK23Q3KTAKmc0KcaNmZOtlW\nkfRu7wpnkxKITu0oa3uSpPL4xAF1pSYkEGUmtWUm42Vqwn7TjrGmqdncf9XYqZO09hOCJ4epme2r\nNjPN/S3NLk/uzeb+q8ZOnaSpfE3uAq3CbNW7SZLqzyRNs2ZnTix25rZLUiev7TLIh//g8knNu8uc\nXjZvGZ54RuDIg9/M6R/6jemEVjmTtIbwJC/Vx0TPJ9a2rGlqtjL33y67DcJug5Oad/MU1rtpy8od\nC6hGTNLU9UxwVYLtPp+4Dr547d/x4k/XT3m5/v5d2Lhx/NPghvWv0rfr5J/YMpbJWbO5/6phR79s\nCgAABqNJREFUkiZJU9fp+cST9uyzz/HVW+6hr69/RoN75oW1bFrwjqkv+FqHaX0wt2+HQ5K0A0zS\nJGnqOj2feNJ+9OIL/HD1HszdbdHMRyep8UzSJJWiy7uZOz2feNL6+voZWf0kw69N78H1M2XOLr1s\n2TzlZkzKL//cFgAe+rc5015XmXHOtJ41/68RsU70ms7k/puOqez73n33LjkaSVLtRMQHIuIrrf8P\nj4jbq45JUvfxSpokTd02zyeuMhhJkiRJkiRJkiRJkiRJkiRJkiRJDdNTdQCdNP35eBHRB1wH7A/M\nBT4L/BC4HhgGngDOzcyRqmKcqojYC3gEeDdFG66nYW2JiE8DJwF9wF8Dy2lmO3qBa4CgiP0sYAsN\na0vrsUp/npnHRMRbGSf+iDgL+AjFo/s+m5m1ueVFROwOfA1YBGwEfjszX4iIw4G/pIj57sz8k9b8\nFwP/qTX+E5m5IiL2bK1jV+AF4IzM7HT//x2JcyHwVYr7u/UDn8zM/1O3OMfE/H7gg5n5odZwbWMd\nE3etzl07+h6LiHkUx8wgsI7i2J7xB2JO5VxZZZytWOcAV1N87o4Av0exj0uJtbeMRsyg15+PB1xA\n8Xy8JvkQMJSZRwLvBb5I0YYLW+N6gPdVGN+UtN5IVwKvUMR+GQ1rS0QcDbyrdUwdDRxIc/fJ8cDu\nmfkrwJ8Af0bD2hIRn6L4wJvbGrXNMRURewMfA5YB7wE+FxEz+xyl6TkTWJGZR1F8+H6qNf7LwCmt\n/XNYRBwSEYcCR2bmYcB/pvhMALgI+Gqr3d8DfreEOP8rcE9mHg2c3rbtusUJQET8FcUx3X4x4Ut1\njHUctTl3TfM9djbw/da8fwP8UUlhTupcWYM4AU4EhlvH4B+xnc/dmYq17knaVs/HA3bo+XgVuoni\ngwKK13oTcGhm3tcadwdwbBWB7aBLKD4kX2wNN7EtxwOPR8StwLeAbwJLGtgOKJ60uDAieoCFFFdx\nmtaWp4AP8MaJeLxj6peA5Zm5KTPXtpY5eNYj3Y7MHE0moLgSsDoiBihO0v/WGn8XRVuOAO5uLffv\nwC6tKz6vf9ZR3n77PHBV6/8+4LWaxjlqOcUJrQcgIhYAc2sa61h1OndN5z3W/hreSXmv4WTPlVXH\nSWb+A28k/AcAqxn/c3dGYq37zWxn5Pl4VcnMVwBaH4Q3UWTM/6Ntlpc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"text": [
"<matplotlib.figure.Figure at 0x19fbba20>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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HkkgkWPFWA1U9Kpg0bh9GDO3Pq6+v45ml7/D5oz7EO+ve5/d/+TeHfnR3XvQ6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\nAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x190fada0>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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nS4wVpVQfYC4wRWv9qbd4jlLqBq3118BEYDGwCPijUioXj6VtBLAiXPulpYXh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\nAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x1bc99518>"
]
}
],
"prompt_number": 9
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": []
}
],
"metadata": {}
}
]
}
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